WORST_CASE(?, O(n^1)) proof of /export/starexec/sandbox2/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# AProVE Commit ID: 794c25de1cacf0d048858bcd21c9a779e1221865 marcel 20200619 unpublished dirty The Derivational Complexity (innermost) of the given DCpxTrs could be proven to be BOUNDS(1, n^1).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), 79 ms] (4) CpxRelTRS (5) RelTrsToTrsProof [UPPER BOUND(ID), 0 ms] (6) CpxTRS (7) CpxTrsMatchBoundsProof [FINISHED, 166 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(1(2(3(x1)))) -> 3(2(4(x1))) 2(3(3(0(4(x1))))) -> 4(2(1(5(x1)))) 0(3(3(1(1(4(x1)))))) -> 3(2(3(0(1(3(x1)))))) 5(1(3(0(4(0(x1)))))) -> 3(5(3(3(2(x1))))) 0(3(2(1(4(0(1(x1))))))) -> 4(0(5(1(3(0(1(x1))))))) 2(2(0(2(5(2(0(x1))))))) -> 2(2(1(2(5(1(3(x1))))))) 4(5(3(2(4(4(2(2(x1)))))))) -> 4(0(5(0(0(0(2(2(x1)))))))) 1(0(2(5(2(3(0(1(1(x1))))))))) -> 1(5(1(2(0(2(4(4(1(x1))))))))) 4(4(0(3(5(1(2(4(4(x1))))))))) -> 1(5(2(0(3(5(0(0(x1)))))))) 0(4(1(2(0(5(0(2(2(4(x1)))))))))) -> 2(5(4(0(1(2(5(3(4(x1))))))))) 4(5(4(1(2(4(1(0(1(5(x1)))))))))) -> 1(1(0(1(3(1(5(2(5(x1))))))))) 5(1(0(3(2(3(4(5(4(3(x1)))))))))) -> 5(2(0(5(3(4(2(5(3(x1))))))))) 1(3(0(4(3(0(5(3(2(5(3(x1))))))))))) -> 1(3(0(0(0(3(1(3(3(5(3(x1))))))))))) 4(5(0(0(4(4(5(0(5(4(5(x1))))))))))) -> 2(4(2(2(2(4(3(1(4(5(x1)))))))))) 2(3(0(0(5(4(1(3(4(0(1(4(x1)))))))))))) -> 4(0(3(3(4(5(1(1(4(2(4(x1))))))))))) 5(1(4(3(0(5(1(2(5(5(4(0(x1)))))))))))) -> 2(5(0(0(5(1(4(2(5(1(5(x1))))))))))) 5(1(5(2(0(5(5(5(2(2(5(1(x1)))))))))))) -> 2(2(4(0(0(5(3(0(5(1(0(2(x1)))))))))))) 4(5(4(5(1(2(0(2(5(4(4(5(5(x1))))))))))))) -> 1(1(3(4(3(3(0(4(2(5(5(3(x1)))))))))))) 5(5(0(4(0(2(1(1(0(4(5(0(5(x1))))))))))))) -> 1(1(0(3(4(2(1(1(5(0(2(5(x1)))))))))))) 5(0(5(1(0(3(1(3(1(1(3(1(5(1(x1)))))))))))))) -> 5(4(4(1(2(5(5(0(1(0(3(2(2(2(x1)))))))))))))) 5(5(3(0(4(4(0(2(1(5(1(4(2(1(x1)))))))))))))) -> 5(4(1(5(2(4(3(3(5(2(4(5(0(x1))))))))))))) 0(1(4(2(3(2(2(1(0(3(1(5(2(3(1(x1))))))))))))))) -> 1(5(2(4(2(5(2(4(3(4(1(0(4(2(x1)))))))))))))) 0(3(2(0(0(2(2(4(2(4(4(3(3(2(0(x1))))))))))))))) -> 3(2(1(0(4(4(2(1(0(4(3(3(1(0(x1)))))))))))))) 2(4(4(3(0(1(0(1(4(0(3(4(1(0(0(5(x1)))))))))))))))) -> 2(5(3(1(2(2(2(2(5(3(3(2(1(4(5(x1))))))))))))))) 5(0(3(0(1(1(5(1(1(2(0(3(3(0(4(5(1(x1))))))))))))))))) -> 3(4(5(2(0(1(2(0(1(5(4(1(3(1(5(2(x1)))))))))))))))) 0(5(5(2(5(4(5(0(5(2(2(3(1(3(3(4(4(2(x1)))))))))))))))))) -> 5(0(2(4(4(3(2(2(5(1(4(4(1(1(4(3(5(2(x1)))))))))))))))))) 1(2(0(1(0(5(0(2(4(4(5(1(4(1(2(0(4(5(x1)))))))))))))))))) -> 1(2(1(5(2(5(1(4(0(3(5(3(1(4(2(3(5(x1))))))))))))))))) 1(4(4(3(3(0(0(3(5(2(1(4(4(4(3(0(1(5(x1)))))))))))))))))) -> 3(5(3(3(0(2(5(1(5(4(4(3(1(2(3(4(3(5(x1)))))))))))))))))) 3(5(1(4(5(2(4(1(3(2(4(4(0(5(4(1(0(3(x1)))))))))))))))))) -> 3(0(5(5(4(5(1(4(3(0(0(5(5(3(3(1(2(3(x1)))))))))))))))))) 4(5(0(4(0(3(4(5(0(1(3(3(0(2(2(3(5(1(x1)))))))))))))))))) -> 1(5(3(0(1(1(2(3(5(0(0(0(2(0(1(0(1(x1))))))))))))))))) 5(3(5(3(3(1(5(5(2(2(3(3(4(1(5(1(0(5(x1)))))))))))))))))) -> 3(5(0(4(4(3(4(0(5(2(0(0(2(4(1(5(1(5(x1)))))))))))))))))) 5(4(0(1(5(1(2(4(0(4(0(3(2(1(5(3(3(0(x1)))))))))))))))))) -> 4(2(1(0(3(0(1(5(0(1(1(0(5(5(4(2(1(x1))))))))))))))))) 3(5(0(2(4(0(3(0(0(1(0(0(4(3(0(4(2(5(1(0(x1)))))))))))))))))))) -> 1(1(4(1(1(3(2(5(3(4(5(2(4(4(0(2(0(0(0(x1))))))))))))))))))) 4(1(0(2(0(3(5(5(3(2(1(2(4(5(2(2(3(4(3(0(x1)))))))))))))))))))) -> 0(0(5(5(4(1(2(2(1(0(0(4(4(5(0(5(3(5(3(0(x1)))))))))))))))))))) 4(3(0(0(2(1(4(5(1(4(3(5(0(2(2(3(5(1(4(1(4(x1))))))))))))))))))))) -> 4(3(4(1(1(0(4(2(1(5(2(1(1(2(4(1(2(3(1(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_0(x_1)) -> 0(encArg(x_1)) encArg(cons_2(x_1)) -> 2(encArg(x_1)) encArg(cons_5(x_1)) -> 5(encArg(x_1)) encArg(cons_4(x_1)) -> 4(encArg(x_1)) encArg(cons_1(x_1)) -> 1(encArg(x_1)) encArg(cons_3(x_1)) -> 3(encArg(x_1)) encode_0(x_1) -> 0(encArg(x_1)) encode_1(x_1) -> 1(encArg(x_1)) encode_2(x_1) -> 2(encArg(x_1)) encode_3(x_1) -> 3(encArg(x_1)) encode_4(x_1) -> 4(encArg(x_1)) encode_5(x_1) -> 5(encArg(x_1)) ---------------------------------------- (2) Obligation: The Runtime Complexity (innermost) of the given CpxRelTRS could be proven to be BOUNDS(1, n^1). The TRS R consists of the following rules: 0(1(2(3(x1)))) -> 3(2(4(x1))) 2(3(3(0(4(x1))))) -> 4(2(1(5(x1)))) 0(3(3(1(1(4(x1)))))) -> 3(2(3(0(1(3(x1)))))) 5(1(3(0(4(0(x1)))))) -> 3(5(3(3(2(x1))))) 0(3(2(1(4(0(1(x1))))))) -> 4(0(5(1(3(0(1(x1))))))) 2(2(0(2(5(2(0(x1))))))) -> 2(2(1(2(5(1(3(x1))))))) 4(5(3(2(4(4(2(2(x1)))))))) -> 4(0(5(0(0(0(2(2(x1)))))))) 1(0(2(5(2(3(0(1(1(x1))))))))) -> 1(5(1(2(0(2(4(4(1(x1))))))))) 4(4(0(3(5(1(2(4(4(x1))))))))) -> 1(5(2(0(3(5(0(0(x1)))))))) 0(4(1(2(0(5(0(2(2(4(x1)))))))))) -> 2(5(4(0(1(2(5(3(4(x1))))))))) 4(5(4(1(2(4(1(0(1(5(x1)))))))))) -> 1(1(0(1(3(1(5(2(5(x1))))))))) 5(1(0(3(2(3(4(5(4(3(x1)))))))))) -> 5(2(0(5(3(4(2(5(3(x1))))))))) 1(3(0(4(3(0(5(3(2(5(3(x1))))))))))) -> 1(3(0(0(0(3(1(3(3(5(3(x1))))))))))) 4(5(0(0(4(4(5(0(5(4(5(x1))))))))))) -> 2(4(2(2(2(4(3(1(4(5(x1)))))))))) 2(3(0(0(5(4(1(3(4(0(1(4(x1)))))))))))) -> 4(0(3(3(4(5(1(1(4(2(4(x1))))))))))) 5(1(4(3(0(5(1(2(5(5(4(0(x1)))))))))))) -> 2(5(0(0(5(1(4(2(5(1(5(x1))))))))))) 5(1(5(2(0(5(5(5(2(2(5(1(x1)))))))))))) -> 2(2(4(0(0(5(3(0(5(1(0(2(x1)))))))))))) 4(5(4(5(1(2(0(2(5(4(4(5(5(x1))))))))))))) -> 1(1(3(4(3(3(0(4(2(5(5(3(x1)))))))))))) 5(5(0(4(0(2(1(1(0(4(5(0(5(x1))))))))))))) -> 1(1(0(3(4(2(1(1(5(0(2(5(x1)))))))))))) 5(0(5(1(0(3(1(3(1(1(3(1(5(1(x1)))))))))))))) -> 5(4(4(1(2(5(5(0(1(0(3(2(2(2(x1)))))))))))))) 5(5(3(0(4(4(0(2(1(5(1(4(2(1(x1)))))))))))))) -> 5(4(1(5(2(4(3(3(5(2(4(5(0(x1))))))))))))) 0(1(4(2(3(2(2(1(0(3(1(5(2(3(1(x1))))))))))))))) -> 1(5(2(4(2(5(2(4(3(4(1(0(4(2(x1)))))))))))))) 0(3(2(0(0(2(2(4(2(4(4(3(3(2(0(x1))))))))))))))) -> 3(2(1(0(4(4(2(1(0(4(3(3(1(0(x1)))))))))))))) 2(4(4(3(0(1(0(1(4(0(3(4(1(0(0(5(x1)))))))))))))))) -> 2(5(3(1(2(2(2(2(5(3(3(2(1(4(5(x1))))))))))))))) 5(0(3(0(1(1(5(1(1(2(0(3(3(0(4(5(1(x1))))))))))))))))) -> 3(4(5(2(0(1(2(0(1(5(4(1(3(1(5(2(x1)))))))))))))))) 0(5(5(2(5(4(5(0(5(2(2(3(1(3(3(4(4(2(x1)))))))))))))))))) -> 5(0(2(4(4(3(2(2(5(1(4(4(1(1(4(3(5(2(x1)))))))))))))))))) 1(2(0(1(0(5(0(2(4(4(5(1(4(1(2(0(4(5(x1)))))))))))))))))) -> 1(2(1(5(2(5(1(4(0(3(5(3(1(4(2(3(5(x1))))))))))))))))) 1(4(4(3(3(0(0(3(5(2(1(4(4(4(3(0(1(5(x1)))))))))))))))))) -> 3(5(3(3(0(2(5(1(5(4(4(3(1(2(3(4(3(5(x1)))))))))))))))))) 3(5(1(4(5(2(4(1(3(2(4(4(0(5(4(1(0(3(x1)))))))))))))))))) -> 3(0(5(5(4(5(1(4(3(0(0(5(5(3(3(1(2(3(x1)))))))))))))))))) 4(5(0(4(0(3(4(5(0(1(3(3(0(2(2(3(5(1(x1)))))))))))))))))) -> 1(5(3(0(1(1(2(3(5(0(0(0(2(0(1(0(1(x1))))))))))))))))) 5(3(5(3(3(1(5(5(2(2(3(3(4(1(5(1(0(5(x1)))))))))))))))))) -> 3(5(0(4(4(3(4(0(5(2(0(0(2(4(1(5(1(5(x1)))))))))))))))))) 5(4(0(1(5(1(2(4(0(4(0(3(2(1(5(3(3(0(x1)))))))))))))))))) -> 4(2(1(0(3(0(1(5(0(1(1(0(5(5(4(2(1(x1))))))))))))))))) 3(5(0(2(4(0(3(0(0(1(0(0(4(3(0(4(2(5(1(0(x1)))))))))))))))))))) -> 1(1(4(1(1(3(2(5(3(4(5(2(4(4(0(2(0(0(0(x1))))))))))))))))))) 4(1(0(2(0(3(5(5(3(2(1(2(4(5(2(2(3(4(3(0(x1)))))))))))))))))))) -> 0(0(5(5(4(1(2(2(1(0(0(4(4(5(0(5(3(5(3(0(x1)))))))))))))))))))) 4(3(0(0(2(1(4(5(1(4(3(5(0(2(2(3(5(1(4(1(4(x1))))))))))))))))))))) -> 4(3(4(1(1(0(4(2(1(5(2(1(1(2(4(1(2(3(1(3(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_5(x_1)) -> 5(encArg(x_1)) encArg(cons_4(x_1)) -> 4(encArg(x_1)) encArg(cons_1(x_1)) -> 1(encArg(x_1)) encArg(cons_3(x_1)) -> 3(encArg(x_1)) encode_0(x_1) -> 0(encArg(x_1)) encode_1(x_1) -> 1(encArg(x_1)) encode_2(x_1) -> 2(encArg(x_1)) encode_3(x_1) -> 3(encArg(x_1)) encode_4(x_1) -> 4(encArg(x_1)) encode_5(x_1) -> 5(encArg(x_1)) Rewrite Strategy: 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(1(2(3(x1)))) -> 3(2(4(x1))) 2(3(3(0(4(x1))))) -> 4(2(1(5(x1)))) 0(3(3(1(1(4(x1)))))) -> 3(2(3(0(1(3(x1)))))) 5(1(3(0(4(0(x1)))))) -> 3(5(3(3(2(x1))))) 0(3(2(1(4(0(1(x1))))))) -> 4(0(5(1(3(0(1(x1))))))) 2(2(0(2(5(2(0(x1))))))) -> 2(2(1(2(5(1(3(x1))))))) 4(5(3(2(4(4(2(2(x1)))))))) -> 4(0(5(0(0(0(2(2(x1)))))))) 1(0(2(5(2(3(0(1(1(x1))))))))) -> 1(5(1(2(0(2(4(4(1(x1))))))))) 4(4(0(3(5(1(2(4(4(x1))))))))) -> 1(5(2(0(3(5(0(0(x1)))))))) 0(4(1(2(0(5(0(2(2(4(x1)))))))))) -> 2(5(4(0(1(2(5(3(4(x1))))))))) 4(5(4(1(2(4(1(0(1(5(x1)))))))))) -> 1(1(0(1(3(1(5(2(5(x1))))))))) 5(1(0(3(2(3(4(5(4(3(x1)))))))))) -> 5(2(0(5(3(4(2(5(3(x1))))))))) 1(3(0(4(3(0(5(3(2(5(3(x1))))))))))) -> 1(3(0(0(0(3(1(3(3(5(3(x1))))))))))) 4(5(0(0(4(4(5(0(5(4(5(x1))))))))))) -> 2(4(2(2(2(4(3(1(4(5(x1)))))))))) 2(3(0(0(5(4(1(3(4(0(1(4(x1)))))))))))) -> 4(0(3(3(4(5(1(1(4(2(4(x1))))))))))) 5(1(4(3(0(5(1(2(5(5(4(0(x1)))))))))))) -> 2(5(0(0(5(1(4(2(5(1(5(x1))))))))))) 5(1(5(2(0(5(5(5(2(2(5(1(x1)))))))))))) -> 2(2(4(0(0(5(3(0(5(1(0(2(x1)))))))))))) 4(5(4(5(1(2(0(2(5(4(4(5(5(x1))))))))))))) -> 1(1(3(4(3(3(0(4(2(5(5(3(x1)))))))))))) 5(5(0(4(0(2(1(1(0(4(5(0(5(x1))))))))))))) -> 1(1(0(3(4(2(1(1(5(0(2(5(x1)))))))))))) 5(0(5(1(0(3(1(3(1(1(3(1(5(1(x1)))))))))))))) -> 5(4(4(1(2(5(5(0(1(0(3(2(2(2(x1)))))))))))))) 5(5(3(0(4(4(0(2(1(5(1(4(2(1(x1)))))))))))))) -> 5(4(1(5(2(4(3(3(5(2(4(5(0(x1))))))))))))) 0(1(4(2(3(2(2(1(0(3(1(5(2(3(1(x1))))))))))))))) -> 1(5(2(4(2(5(2(4(3(4(1(0(4(2(x1)))))))))))))) 0(3(2(0(0(2(2(4(2(4(4(3(3(2(0(x1))))))))))))))) -> 3(2(1(0(4(4(2(1(0(4(3(3(1(0(x1)))))))))))))) 2(4(4(3(0(1(0(1(4(0(3(4(1(0(0(5(x1)))))))))))))))) -> 2(5(3(1(2(2(2(2(5(3(3(2(1(4(5(x1))))))))))))))) 5(0(3(0(1(1(5(1(1(2(0(3(3(0(4(5(1(x1))))))))))))))))) -> 3(4(5(2(0(1(2(0(1(5(4(1(3(1(5(2(x1)))))))))))))))) 0(5(5(2(5(4(5(0(5(2(2(3(1(3(3(4(4(2(x1)))))))))))))))))) -> 5(0(2(4(4(3(2(2(5(1(4(4(1(1(4(3(5(2(x1)))))))))))))))))) 1(2(0(1(0(5(0(2(4(4(5(1(4(1(2(0(4(5(x1)))))))))))))))))) -> 1(2(1(5(2(5(1(4(0(3(5(3(1(4(2(3(5(x1))))))))))))))))) 1(4(4(3(3(0(0(3(5(2(1(4(4(4(3(0(1(5(x1)))))))))))))))))) -> 3(5(3(3(0(2(5(1(5(4(4(3(1(2(3(4(3(5(x1)))))))))))))))))) 3(5(1(4(5(2(4(1(3(2(4(4(0(5(4(1(0(3(x1)))))))))))))))))) -> 3(0(5(5(4(5(1(4(3(0(0(5(5(3(3(1(2(3(x1)))))))))))))))))) 4(5(0(4(0(3(4(5(0(1(3(3(0(2(2(3(5(1(x1)))))))))))))))))) -> 1(5(3(0(1(1(2(3(5(0(0(0(2(0(1(0(1(x1))))))))))))))))) 5(3(5(3(3(1(5(5(2(2(3(3(4(1(5(1(0(5(x1)))))))))))))))))) -> 3(5(0(4(4(3(4(0(5(2(0(0(2(4(1(5(1(5(x1)))))))))))))))))) 5(4(0(1(5(1(2(4(0(4(0(3(2(1(5(3(3(0(x1)))))))))))))))))) -> 4(2(1(0(3(0(1(5(0(1(1(0(5(5(4(2(1(x1))))))))))))))))) 3(5(0(2(4(0(3(0(0(1(0(0(4(3(0(4(2(5(1(0(x1)))))))))))))))))))) -> 1(1(4(1(1(3(2(5(3(4(5(2(4(4(0(2(0(0(0(x1))))))))))))))))))) 4(1(0(2(0(3(5(5(3(2(1(2(4(5(2(2(3(4(3(0(x1)))))))))))))))))))) -> 0(0(5(5(4(1(2(2(1(0(0(4(4(5(0(5(3(5(3(0(x1)))))))))))))))))))) 4(3(0(0(2(1(4(5(1(4(3(5(0(2(2(3(5(1(4(1(4(x1))))))))))))))))))))) -> 4(3(4(1(1(0(4(2(1(5(2(1(1(2(4(1(2(3(1(3(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_5(x_1)) -> 5(encArg(x_1)) encArg(cons_4(x_1)) -> 4(encArg(x_1)) encArg(cons_1(x_1)) -> 1(encArg(x_1)) encArg(cons_3(x_1)) -> 3(encArg(x_1)) encode_0(x_1) -> 0(encArg(x_1)) encode_1(x_1) -> 1(encArg(x_1)) encode_2(x_1) -> 2(encArg(x_1)) encode_3(x_1) -> 3(encArg(x_1)) encode_4(x_1) -> 4(encArg(x_1)) encode_5(x_1) -> 5(encArg(x_1)) Rewrite Strategy: 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(1(2(3(x1)))) -> 3(2(4(x1))) 2(3(3(0(4(x1))))) -> 4(2(1(5(x1)))) 0(3(3(1(1(4(x1)))))) -> 3(2(3(0(1(3(x1)))))) 5(1(3(0(4(0(x1)))))) -> 3(5(3(3(2(x1))))) 0(3(2(1(4(0(1(x1))))))) -> 4(0(5(1(3(0(1(x1))))))) 2(2(0(2(5(2(0(x1))))))) -> 2(2(1(2(5(1(3(x1))))))) 4(5(3(2(4(4(2(2(x1)))))))) -> 4(0(5(0(0(0(2(2(x1)))))))) 1(0(2(5(2(3(0(1(1(x1))))))))) -> 1(5(1(2(0(2(4(4(1(x1))))))))) 4(4(0(3(5(1(2(4(4(x1))))))))) -> 1(5(2(0(3(5(0(0(x1)))))))) 0(4(1(2(0(5(0(2(2(4(x1)))))))))) -> 2(5(4(0(1(2(5(3(4(x1))))))))) 4(5(4(1(2(4(1(0(1(5(x1)))))))))) -> 1(1(0(1(3(1(5(2(5(x1))))))))) 5(1(0(3(2(3(4(5(4(3(x1)))))))))) -> 5(2(0(5(3(4(2(5(3(x1))))))))) 1(3(0(4(3(0(5(3(2(5(3(x1))))))))))) -> 1(3(0(0(0(3(1(3(3(5(3(x1))))))))))) 4(5(0(0(4(4(5(0(5(4(5(x1))))))))))) -> 2(4(2(2(2(4(3(1(4(5(x1)))))))))) 2(3(0(0(5(4(1(3(4(0(1(4(x1)))))))))))) -> 4(0(3(3(4(5(1(1(4(2(4(x1))))))))))) 5(1(4(3(0(5(1(2(5(5(4(0(x1)))))))))))) -> 2(5(0(0(5(1(4(2(5(1(5(x1))))))))))) 5(1(5(2(0(5(5(5(2(2(5(1(x1)))))))))))) -> 2(2(4(0(0(5(3(0(5(1(0(2(x1)))))))))))) 4(5(4(5(1(2(0(2(5(4(4(5(5(x1))))))))))))) -> 1(1(3(4(3(3(0(4(2(5(5(3(x1)))))))))))) 5(5(0(4(0(2(1(1(0(4(5(0(5(x1))))))))))))) -> 1(1(0(3(4(2(1(1(5(0(2(5(x1)))))))))))) 5(0(5(1(0(3(1(3(1(1(3(1(5(1(x1)))))))))))))) -> 5(4(4(1(2(5(5(0(1(0(3(2(2(2(x1)))))))))))))) 5(5(3(0(4(4(0(2(1(5(1(4(2(1(x1)))))))))))))) -> 5(4(1(5(2(4(3(3(5(2(4(5(0(x1))))))))))))) 0(1(4(2(3(2(2(1(0(3(1(5(2(3(1(x1))))))))))))))) -> 1(5(2(4(2(5(2(4(3(4(1(0(4(2(x1)))))))))))))) 0(3(2(0(0(2(2(4(2(4(4(3(3(2(0(x1))))))))))))))) -> 3(2(1(0(4(4(2(1(0(4(3(3(1(0(x1)))))))))))))) 2(4(4(3(0(1(0(1(4(0(3(4(1(0(0(5(x1)))))))))))))))) -> 2(5(3(1(2(2(2(2(5(3(3(2(1(4(5(x1))))))))))))))) 5(0(3(0(1(1(5(1(1(2(0(3(3(0(4(5(1(x1))))))))))))))))) -> 3(4(5(2(0(1(2(0(1(5(4(1(3(1(5(2(x1)))))))))))))))) 0(5(5(2(5(4(5(0(5(2(2(3(1(3(3(4(4(2(x1)))))))))))))))))) -> 5(0(2(4(4(3(2(2(5(1(4(4(1(1(4(3(5(2(x1)))))))))))))))))) 1(2(0(1(0(5(0(2(4(4(5(1(4(1(2(0(4(5(x1)))))))))))))))))) -> 1(2(1(5(2(5(1(4(0(3(5(3(1(4(2(3(5(x1))))))))))))))))) 1(4(4(3(3(0(0(3(5(2(1(4(4(4(3(0(1(5(x1)))))))))))))))))) -> 3(5(3(3(0(2(5(1(5(4(4(3(1(2(3(4(3(5(x1)))))))))))))))))) 3(5(1(4(5(2(4(1(3(2(4(4(0(5(4(1(0(3(x1)))))))))))))))))) -> 3(0(5(5(4(5(1(4(3(0(0(5(5(3(3(1(2(3(x1)))))))))))))))))) 4(5(0(4(0(3(4(5(0(1(3(3(0(2(2(3(5(1(x1)))))))))))))))))) -> 1(5(3(0(1(1(2(3(5(0(0(0(2(0(1(0(1(x1))))))))))))))))) 5(3(5(3(3(1(5(5(2(2(3(3(4(1(5(1(0(5(x1)))))))))))))))))) -> 3(5(0(4(4(3(4(0(5(2(0(0(2(4(1(5(1(5(x1)))))))))))))))))) 5(4(0(1(5(1(2(4(0(4(0(3(2(1(5(3(3(0(x1)))))))))))))))))) -> 4(2(1(0(3(0(1(5(0(1(1(0(5(5(4(2(1(x1))))))))))))))))) 3(5(0(2(4(0(3(0(0(1(0(0(4(3(0(4(2(5(1(0(x1)))))))))))))))))))) -> 1(1(4(1(1(3(2(5(3(4(5(2(4(4(0(2(0(0(0(x1))))))))))))))))))) 4(1(0(2(0(3(5(5(3(2(1(2(4(5(2(2(3(4(3(0(x1)))))))))))))))))))) -> 0(0(5(5(4(1(2(2(1(0(0(4(4(5(0(5(3(5(3(0(x1)))))))))))))))))))) 4(3(0(0(2(1(4(5(1(4(3(5(0(2(2(3(5(1(4(1(4(x1))))))))))))))))))))) -> 4(3(4(1(1(0(4(2(1(5(2(1(1(2(4(1(2(3(1(3(x1)))))))))))))))))))) encArg(cons_0(x_1)) -> 0(encArg(x_1)) encArg(cons_2(x_1)) -> 2(encArg(x_1)) encArg(cons_5(x_1)) -> 5(encArg(x_1)) encArg(cons_4(x_1)) -> 4(encArg(x_1)) encArg(cons_1(x_1)) -> 1(encArg(x_1)) encArg(cons_3(x_1)) -> 3(encArg(x_1)) encode_0(x_1) -> 0(encArg(x_1)) encode_1(x_1) -> 1(encArg(x_1)) encode_2(x_1) -> 2(encArg(x_1)) encode_3(x_1) -> 3(encArg(x_1)) encode_4(x_1) -> 4(encArg(x_1)) encode_5(x_1) -> 5(encArg(x_1)) S is empty. Rewrite Strategy: 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 2. 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] {(148,149,[0_1|0, 2_1|0, 5_1|0, 4_1|0, 1_1|0, 3_1|0, encArg_1|0, encode_0_1|0, encode_1_1|0, encode_2_1|0, encode_3_1|0, encode_4_1|0, encode_5_1|0]), (148,150,[0_1|1, 2_1|1, 5_1|1, 4_1|1, 1_1|1, 3_1|1]), (148,151,[3_1|2]), (148,153,[1_1|2]), (148,166,[3_1|2]), (148,171,[4_1|2]), (148,177,[3_1|2]), (148,190,[2_1|2]), (148,198,[5_1|2]), (148,215,[4_1|2]), (148,218,[4_1|2]), (148,228,[2_1|2]), (148,234,[2_1|2]), (148,248,[3_1|2]), (148,252,[5_1|2]), (148,260,[2_1|2]), (148,270,[2_1|2]), (148,281,[1_1|2]), (148,292,[5_1|2]), (148,304,[5_1|2]), (148,317,[3_1|2]), (148,332,[3_1|2]), (148,349,[4_1|2]), (148,365,[4_1|2]), (148,372,[1_1|2]), (148,380,[1_1|2]), (148,391,[2_1|2]), (148,400,[1_1|2]), (148,416,[1_1|2]), (148,423,[0_1|2]), (148,442,[4_1|2]), (148,461,[1_1|2]), (148,469,[1_1|2]), (148,479,[1_1|2]), (148,495,[3_1|2]), (148,512,[3_1|2]), (148,529,[1_1|2]), (149,149,[cons_0_1|0, cons_2_1|0, cons_5_1|0, cons_4_1|0, cons_1_1|0, cons_3_1|0]), (150,149,[encArg_1|1]), (150,150,[0_1|1, 2_1|1, 5_1|1, 4_1|1, 1_1|1, 3_1|1]), (150,151,[3_1|2]), (150,153,[1_1|2]), (150,166,[3_1|2]), (150,171,[4_1|2]), (150,177,[3_1|2]), (150,190,[2_1|2]), (150,198,[5_1|2]), (150,215,[4_1|2]), (150,218,[4_1|2]), (150,228,[2_1|2]), (150,234,[2_1|2]), (150,248,[3_1|2]), (150,252,[5_1|2]), (150,260,[2_1|2]), (150,270,[2_1|2]), (150,281,[1_1|2]), (150,292,[5_1|2]), (150,304,[5_1|2]), (150,317,[3_1|2]), (150,332,[3_1|2]), (150,349,[4_1|2]), (150,365,[4_1|2]), (150,372,[1_1|2]), (150,380,[1_1|2]), (150,391,[2_1|2]), (150,400,[1_1|2]), (150,416,[1_1|2]), (150,423,[0_1|2]), (150,442,[4_1|2]), (150,461,[1_1|2]), (150,469,[1_1|2]), (150,479,[1_1|2]), (150,495,[3_1|2]), (150,512,[3_1|2]), (150,529,[1_1|2]), (151,152,[2_1|2]), (151,234,[2_1|2]), (152,150,[4_1|2]), (152,151,[4_1|2]), (152,166,[4_1|2]), (152,177,[4_1|2]), (152,248,[4_1|2]), (152,317,[4_1|2]), (152,332,[4_1|2]), (152,495,[4_1|2]), (152,512,[4_1|2]), (152,365,[4_1|2]), (152,372,[1_1|2]), (152,380,[1_1|2]), (152,391,[2_1|2]), (152,400,[1_1|2]), (152,416,[1_1|2]), (152,423,[0_1|2]), (152,442,[4_1|2]), (153,154,[5_1|2]), (154,155,[2_1|2]), (155,156,[4_1|2]), (156,157,[2_1|2]), (157,158,[5_1|2]), (158,159,[2_1|2]), (159,160,[4_1|2]), (160,161,[3_1|2]), (161,162,[4_1|2]), (162,163,[1_1|2]), (163,164,[0_1|2]), (164,165,[4_1|2]), (165,150,[2_1|2]), (165,153,[2_1|2]), (165,281,[2_1|2]), (165,372,[2_1|2]), (165,380,[2_1|2]), (165,400,[2_1|2]), (165,416,[2_1|2]), (165,461,[2_1|2]), (165,469,[2_1|2]), (165,479,[2_1|2]), (165,529,[2_1|2]), (165,215,[4_1|2]), (165,218,[4_1|2]), (165,228,[2_1|2]), (165,234,[2_1|2]), (166,167,[2_1|2]), (167,168,[3_1|2]), (168,169,[0_1|2]), (169,170,[1_1|2]), (169,469,[1_1|2]), (170,150,[3_1|2]), (170,171,[3_1|2]), (170,215,[3_1|2]), (170,218,[3_1|2]), (170,349,[3_1|2]), (170,365,[3_1|2]), (170,442,[3_1|2]), (170,531,[3_1|2]), (170,512,[3_1|2]), (170,529,[1_1|2]), (171,172,[0_1|2]), (172,173,[5_1|2]), (173,174,[1_1|2]), (174,175,[3_1|2]), (175,176,[0_1|2]), (175,151,[3_1|2]), (175,153,[1_1|2]), (176,150,[1_1|2]), (176,153,[1_1|2]), (176,281,[1_1|2]), (176,372,[1_1|2]), (176,380,[1_1|2]), (176,400,[1_1|2]), (176,416,[1_1|2]), (176,461,[1_1|2]), (176,469,[1_1|2]), (176,479,[1_1|2]), (176,529,[1_1|2]), (176,495,[3_1|2]), (177,178,[2_1|2]), (178,179,[1_1|2]), (179,180,[0_1|2]), (180,181,[4_1|2]), (181,182,[4_1|2]), (182,183,[2_1|2]), (183,184,[1_1|2]), (184,185,[0_1|2]), (185,186,[4_1|2]), (186,187,[3_1|2]), (187,188,[3_1|2]), (188,189,[1_1|2]), (188,461,[1_1|2]), (189,150,[0_1|2]), (189,423,[0_1|2]), (189,151,[3_1|2]), (189,153,[1_1|2]), (189,166,[3_1|2]), (189,171,[4_1|2]), (189,177,[3_1|2]), (189,190,[2_1|2]), (189,198,[5_1|2]), (190,191,[5_1|2]), (191,192,[4_1|2]), (192,193,[0_1|2]), (193,194,[1_1|2]), (194,195,[2_1|2]), (195,196,[5_1|2]), (196,197,[3_1|2]), (197,150,[4_1|2]), (197,171,[4_1|2]), (197,215,[4_1|2]), (197,218,[4_1|2]), (197,349,[4_1|2]), (197,365,[4_1|2]), (197,442,[4_1|2]), (197,392,[4_1|2]), (197,272,[4_1|2]), (197,372,[1_1|2]), (197,380,[1_1|2]), (197,391,[2_1|2]), (197,400,[1_1|2]), (197,416,[1_1|2]), (197,423,[0_1|2]), (198,199,[0_1|2]), (199,200,[2_1|2]), (200,201,[4_1|2]), (201,202,[4_1|2]), (202,203,[3_1|2]), (203,204,[2_1|2]), (204,205,[2_1|2]), (205,206,[5_1|2]), (206,207,[1_1|2]), (207,208,[4_1|2]), (208,209,[4_1|2]), (209,210,[1_1|2]), (210,211,[1_1|2]), (211,212,[4_1|2]), (212,213,[3_1|2]), (213,214,[5_1|2]), (214,150,[2_1|2]), (214,190,[2_1|2]), (214,228,[2_1|2]), (214,234,[2_1|2]), (214,260,[2_1|2]), (214,270,[2_1|2]), (214,391,[2_1|2]), (214,216,[2_1|2]), (214,350,[2_1|2]), (214,215,[4_1|2]), (214,218,[4_1|2]), (215,216,[2_1|2]), (216,217,[1_1|2]), (217,150,[5_1|2]), (217,171,[5_1|2]), (217,215,[5_1|2]), (217,218,[5_1|2]), (217,349,[5_1|2, 4_1|2]), (217,365,[5_1|2]), (217,442,[5_1|2]), (217,248,[3_1|2]), (217,252,[5_1|2]), (217,260,[2_1|2]), (217,270,[2_1|2]), (217,281,[1_1|2]), (217,292,[5_1|2]), (217,304,[5_1|2]), (217,317,[3_1|2]), (217,332,[3_1|2]), (218,219,[0_1|2]), (219,220,[3_1|2]), (220,221,[3_1|2]), (221,222,[4_1|2]), (222,223,[5_1|2]), (223,224,[1_1|2]), (224,225,[1_1|2]), (225,226,[4_1|2]), (226,227,[2_1|2]), (226,234,[2_1|2]), (227,150,[4_1|2]), (227,171,[4_1|2]), (227,215,[4_1|2]), (227,218,[4_1|2]), (227,349,[4_1|2]), (227,365,[4_1|2]), (227,442,[4_1|2]), (227,372,[1_1|2]), (227,380,[1_1|2]), (227,391,[2_1|2]), (227,400,[1_1|2]), (227,416,[1_1|2]), (227,423,[0_1|2]), (228,229,[2_1|2]), (229,230,[1_1|2]), (230,231,[2_1|2]), (231,232,[5_1|2]), (231,248,[3_1|2]), (232,233,[1_1|2]), (232,469,[1_1|2]), (233,150,[3_1|2]), (233,423,[3_1|2]), (233,254,[3_1|2]), (233,512,[3_1|2]), (233,529,[1_1|2]), (234,235,[5_1|2]), (235,236,[3_1|2]), (236,237,[1_1|2]), (237,238,[2_1|2]), (238,239,[2_1|2]), (239,240,[2_1|2]), (240,241,[2_1|2]), (241,242,[5_1|2]), (242,243,[3_1|2]), (243,244,[3_1|2]), (244,245,[2_1|2]), (245,246,[1_1|2]), (246,247,[4_1|2]), (246,365,[4_1|2]), (246,372,[1_1|2]), (246,380,[1_1|2]), (246,391,[2_1|2]), (246,400,[1_1|2]), (247,150,[5_1|2]), (247,198,[5_1|2]), (247,252,[5_1|2]), (247,292,[5_1|2]), (247,304,[5_1|2]), (247,425,[5_1|2]), (247,248,[3_1|2]), (247,260,[2_1|2]), (247,270,[2_1|2]), (247,281,[1_1|2]), (247,317,[3_1|2]), (247,332,[3_1|2]), (247,349,[4_1|2]), (248,249,[5_1|2]), (249,250,[3_1|2]), (250,251,[3_1|2]), (251,150,[2_1|2]), (251,423,[2_1|2]), (251,172,[2_1|2]), (251,219,[2_1|2]), (251,366,[2_1|2]), (251,215,[4_1|2]), (251,218,[4_1|2]), (251,228,[2_1|2]), (251,234,[2_1|2]), (252,253,[2_1|2]), (253,254,[0_1|2]), (254,255,[5_1|2]), (255,256,[3_1|2]), (256,257,[4_1|2]), (257,258,[2_1|2]), (258,259,[5_1|2]), (258,332,[3_1|2]), (259,150,[3_1|2]), (259,151,[3_1|2]), (259,166,[3_1|2]), (259,177,[3_1|2]), (259,248,[3_1|2]), (259,317,[3_1|2]), (259,332,[3_1|2]), (259,495,[3_1|2]), (259,512,[3_1|2]), (259,443,[3_1|2]), (259,529,[1_1|2]), (260,261,[5_1|2]), (261,262,[0_1|2]), (262,263,[0_1|2]), (263,264,[5_1|2]), (264,265,[1_1|2]), (265,266,[4_1|2]), (266,267,[2_1|2]), (267,268,[5_1|2]), (267,270,[2_1|2]), (268,269,[1_1|2]), (269,150,[5_1|2]), (269,423,[5_1|2]), (269,172,[5_1|2]), (269,219,[5_1|2]), (269,366,[5_1|2]), (269,248,[3_1|2]), (269,252,[5_1|2]), (269,260,[2_1|2]), (269,270,[2_1|2]), (269,281,[1_1|2]), (269,292,[5_1|2]), (269,304,[5_1|2]), (269,317,[3_1|2]), (269,332,[3_1|2]), (269,349,[4_1|2]), (270,271,[2_1|2]), (271,272,[4_1|2]), (272,273,[0_1|2]), (273,274,[0_1|2]), (274,275,[5_1|2]), (275,276,[3_1|2]), (276,277,[0_1|2]), (277,278,[5_1|2]), (278,279,[1_1|2]), (278,461,[1_1|2]), (279,280,[0_1|2]), (280,150,[2_1|2]), (280,153,[2_1|2]), (280,281,[2_1|2]), (280,372,[2_1|2]), (280,380,[2_1|2]), (280,400,[2_1|2]), (280,416,[2_1|2]), (280,461,[2_1|2]), (280,469,[2_1|2]), (280,479,[2_1|2]), (280,529,[2_1|2]), (280,215,[4_1|2]), (280,218,[4_1|2]), (280,228,[2_1|2]), (280,234,[2_1|2]), (281,282,[1_1|2]), (282,283,[0_1|2]), (283,284,[3_1|2]), (284,285,[4_1|2]), (285,286,[2_1|2]), (286,287,[1_1|2]), (287,288,[1_1|2]), (288,289,[5_1|2]), (289,290,[0_1|2]), (290,291,[2_1|2]), (291,150,[5_1|2]), (291,198,[5_1|2]), (291,252,[5_1|2]), (291,292,[5_1|2]), (291,304,[5_1|2]), (291,248,[3_1|2]), (291,260,[2_1|2]), (291,270,[2_1|2]), (291,281,[1_1|2]), (291,317,[3_1|2]), (291,332,[3_1|2]), (291,349,[4_1|2]), (292,293,[4_1|2]), (293,294,[1_1|2]), (294,295,[5_1|2]), (295,296,[2_1|2]), (296,297,[4_1|2]), (297,298,[3_1|2]), (298,299,[3_1|2]), (299,300,[5_1|2]), (300,301,[2_1|2]), (301,302,[4_1|2]), (301,391,[2_1|2]), (301,400,[1_1|2]), (301,365,[4_1|2]), (302,303,[5_1|2]), (302,304,[5_1|2]), (302,317,[3_1|2]), (303,150,[0_1|2]), (303,153,[0_1|2, 1_1|2]), (303,281,[0_1|2]), (303,372,[0_1|2]), (303,380,[0_1|2]), (303,400,[0_1|2]), (303,416,[0_1|2]), (303,461,[0_1|2]), (303,469,[0_1|2]), (303,479,[0_1|2]), (303,529,[0_1|2]), (303,217,[0_1|2]), (303,351,[0_1|2]), (303,151,[3_1|2]), (303,166,[3_1|2]), (303,171,[4_1|2]), (303,177,[3_1|2]), (303,190,[2_1|2]), (303,198,[5_1|2]), (304,305,[4_1|2]), (305,306,[4_1|2]), (306,307,[1_1|2]), (307,308,[2_1|2]), (308,309,[5_1|2]), (309,310,[5_1|2]), (310,311,[0_1|2]), (311,312,[1_1|2]), (312,313,[0_1|2]), (313,314,[3_1|2]), (314,315,[2_1|2]), (315,316,[2_1|2]), (315,228,[2_1|2]), (316,150,[2_1|2]), (316,153,[2_1|2]), (316,281,[2_1|2]), (316,372,[2_1|2]), (316,380,[2_1|2]), (316,400,[2_1|2]), (316,416,[2_1|2]), (316,461,[2_1|2]), (316,469,[2_1|2]), (316,479,[2_1|2]), (316,529,[2_1|2]), (316,463,[2_1|2]), (316,215,[4_1|2]), (316,218,[4_1|2]), (316,228,[2_1|2]), (316,234,[2_1|2]), (317,318,[4_1|2]), (318,319,[5_1|2]), (319,320,[2_1|2]), (320,321,[0_1|2]), (321,322,[1_1|2]), (322,323,[2_1|2]), (323,324,[0_1|2]), (324,325,[1_1|2]), (325,326,[5_1|2]), (326,327,[4_1|2]), (327,328,[1_1|2]), (328,329,[3_1|2]), (329,330,[1_1|2]), (330,331,[5_1|2]), (331,150,[2_1|2]), (331,153,[2_1|2]), (331,281,[2_1|2]), (331,372,[2_1|2]), (331,380,[2_1|2]), (331,400,[2_1|2]), (331,416,[2_1|2]), (331,461,[2_1|2]), (331,469,[2_1|2]), (331,479,[2_1|2]), (331,529,[2_1|2]), (331,215,[4_1|2]), (331,218,[4_1|2]), (331,228,[2_1|2]), (331,234,[2_1|2]), (332,333,[5_1|2]), (333,334,[0_1|2]), (334,335,[4_1|2]), (335,336,[4_1|2]), (336,337,[3_1|2]), (337,338,[4_1|2]), (338,339,[0_1|2]), (339,340,[5_1|2]), (340,341,[2_1|2]), (341,342,[0_1|2]), (342,343,[0_1|2]), (343,344,[2_1|2]), (344,345,[4_1|2]), (345,346,[1_1|2]), (346,347,[5_1|2]), (346,270,[2_1|2]), (347,348,[1_1|2]), (348,150,[5_1|2]), (348,198,[5_1|2]), (348,252,[5_1|2]), (348,292,[5_1|2]), (348,304,[5_1|2]), (348,248,[3_1|2]), (348,260,[2_1|2]), (348,270,[2_1|2]), (348,281,[1_1|2]), (348,317,[3_1|2]), (348,332,[3_1|2]), (348,349,[4_1|2]), (349,350,[2_1|2]), (350,351,[1_1|2]), (351,352,[0_1|2]), (352,353,[3_1|2]), (353,354,[0_1|2]), (354,355,[1_1|2]), (355,356,[5_1|2]), (356,357,[0_1|2]), (357,358,[1_1|2]), (358,359,[1_1|2]), (359,360,[0_1|2]), (360,361,[5_1|2]), (361,362,[5_1|2]), (362,363,[4_1|2]), (363,364,[2_1|2]), (364,150,[1_1|2]), (364,423,[1_1|2]), (364,513,[1_1|2]), (364,461,[1_1|2]), (364,469,[1_1|2]), (364,479,[1_1|2]), (364,495,[3_1|2]), (365,366,[0_1|2]), (366,367,[5_1|2]), (367,368,[0_1|2]), (368,369,[0_1|2]), (369,370,[0_1|2]), (370,371,[2_1|2]), (370,228,[2_1|2]), (371,150,[2_1|2]), (371,190,[2_1|2]), (371,228,[2_1|2]), (371,234,[2_1|2]), (371,260,[2_1|2]), (371,270,[2_1|2]), (371,391,[2_1|2]), (371,229,[2_1|2]), (371,271,[2_1|2]), (371,215,[4_1|2]), (371,218,[4_1|2]), (372,373,[1_1|2]), (373,374,[0_1|2]), (374,375,[1_1|2]), (375,376,[3_1|2]), (376,377,[1_1|2]), (377,378,[5_1|2]), (378,379,[2_1|2]), (379,150,[5_1|2]), (379,198,[5_1|2]), (379,252,[5_1|2]), (379,292,[5_1|2]), (379,304,[5_1|2]), (379,154,[5_1|2]), (379,401,[5_1|2]), (379,417,[5_1|2]), (379,462,[5_1|2]), (379,248,[3_1|2]), (379,260,[2_1|2]), (379,270,[2_1|2]), (379,281,[1_1|2]), (379,317,[3_1|2]), (379,332,[3_1|2]), (379,349,[4_1|2]), (380,381,[1_1|2]), (381,382,[3_1|2]), (382,383,[4_1|2]), (383,384,[3_1|2]), (384,385,[3_1|2]), (385,386,[0_1|2]), (386,387,[4_1|2]), (387,388,[2_1|2]), (388,389,[5_1|2]), (388,292,[5_1|2]), (389,390,[5_1|2]), (389,332,[3_1|2]), (390,150,[3_1|2]), (390,198,[3_1|2]), (390,252,[3_1|2]), (390,292,[3_1|2]), (390,304,[3_1|2]), (390,512,[3_1|2]), (390,529,[1_1|2]), (391,392,[4_1|2]), (392,393,[2_1|2]), (393,394,[2_1|2]), (394,395,[2_1|2]), (395,396,[4_1|2]), (396,397,[3_1|2]), (397,398,[1_1|2]), (398,399,[4_1|2]), (398,365,[4_1|2]), (398,372,[1_1|2]), (398,380,[1_1|2]), (398,391,[2_1|2]), (398,400,[1_1|2]), (399,150,[5_1|2]), (399,198,[5_1|2]), (399,252,[5_1|2]), (399,292,[5_1|2]), (399,304,[5_1|2]), (399,248,[3_1|2]), (399,260,[2_1|2]), (399,270,[2_1|2]), (399,281,[1_1|2]), (399,317,[3_1|2]), (399,332,[3_1|2]), (399,349,[4_1|2]), (400,401,[5_1|2]), (401,402,[3_1|2]), (402,403,[0_1|2]), (403,404,[1_1|2]), (404,405,[1_1|2]), (405,406,[2_1|2]), (406,407,[3_1|2]), (407,408,[5_1|2]), (408,409,[0_1|2]), (409,410,[0_1|2]), (410,411,[0_1|2]), (411,412,[2_1|2]), (412,413,[0_1|2]), (413,414,[1_1|2]), (414,415,[0_1|2]), (414,151,[3_1|2]), (414,153,[1_1|2]), (415,150,[1_1|2]), (415,153,[1_1|2]), (415,281,[1_1|2]), (415,372,[1_1|2]), (415,380,[1_1|2]), (415,400,[1_1|2]), (415,416,[1_1|2]), (415,461,[1_1|2]), (415,469,[1_1|2]), (415,479,[1_1|2]), (415,529,[1_1|2]), (415,495,[3_1|2]), (416,417,[5_1|2]), (417,418,[2_1|2]), (418,419,[0_1|2]), (419,420,[3_1|2]), (420,421,[5_1|2]), (421,422,[0_1|2]), (422,150,[0_1|2]), (422,171,[0_1|2, 4_1|2]), (422,215,[0_1|2]), (422,218,[0_1|2]), (422,349,[0_1|2]), (422,365,[0_1|2]), (422,442,[0_1|2]), (422,151,[3_1|2]), (422,153,[1_1|2]), (422,166,[3_1|2]), (422,177,[3_1|2]), (422,190,[2_1|2]), (422,198,[5_1|2]), (423,424,[0_1|2]), (424,425,[5_1|2]), (425,426,[5_1|2]), (426,427,[4_1|2]), (427,428,[1_1|2]), (428,429,[2_1|2]), (429,430,[2_1|2]), (430,431,[1_1|2]), (431,432,[0_1|2]), (432,433,[0_1|2]), (433,434,[4_1|2]), (434,435,[4_1|2]), (435,436,[5_1|2]), (436,437,[0_1|2]), (437,438,[5_1|2]), (438,439,[3_1|2]), (439,440,[5_1|2]), (440,441,[3_1|2]), (441,150,[0_1|2]), (441,423,[0_1|2]), (441,513,[0_1|2]), (441,151,[3_1|2]), (441,153,[1_1|2]), (441,166,[3_1|2]), (441,171,[4_1|2]), (441,177,[3_1|2]), (441,190,[2_1|2]), (441,198,[5_1|2]), (442,443,[3_1|2]), (443,444,[4_1|2]), (444,445,[1_1|2]), (445,446,[1_1|2]), (446,447,[0_1|2]), (447,448,[4_1|2]), (448,449,[2_1|2]), (449,450,[1_1|2]), (450,451,[5_1|2]), (451,452,[2_1|2]), (452,453,[1_1|2]), (453,454,[1_1|2]), (454,455,[2_1|2]), (455,456,[4_1|2]), (456,457,[1_1|2]), (457,458,[2_1|2]), (458,459,[3_1|2]), (459,460,[1_1|2]), (459,469,[1_1|2]), (460,150,[3_1|2]), (460,171,[3_1|2]), (460,215,[3_1|2]), (460,218,[3_1|2]), (460,349,[3_1|2]), (460,365,[3_1|2]), (460,442,[3_1|2]), (460,512,[3_1|2]), (460,529,[1_1|2]), (461,462,[5_1|2]), (462,463,[1_1|2]), (463,464,[2_1|2]), (464,465,[0_1|2]), (465,466,[2_1|2]), (466,467,[4_1|2]), (467,468,[4_1|2]), (467,423,[0_1|2]), (468,150,[1_1|2]), (468,153,[1_1|2]), (468,281,[1_1|2]), (468,372,[1_1|2]), (468,380,[1_1|2]), (468,400,[1_1|2]), (468,416,[1_1|2]), (468,461,[1_1|2]), (468,469,[1_1|2]), (468,479,[1_1|2]), (468,529,[1_1|2]), (468,282,[1_1|2]), (468,373,[1_1|2]), (468,381,[1_1|2]), (468,530,[1_1|2]), (468,495,[3_1|2]), (469,470,[3_1|2]), (470,471,[0_1|2]), (471,472,[0_1|2]), (472,473,[0_1|2]), (473,474,[3_1|2]), (474,475,[1_1|2]), (475,476,[3_1|2]), (476,477,[3_1|2]), (477,478,[5_1|2]), (477,332,[3_1|2]), (478,150,[3_1|2]), (478,151,[3_1|2]), (478,166,[3_1|2]), (478,177,[3_1|2]), (478,248,[3_1|2]), (478,317,[3_1|2]), (478,332,[3_1|2]), (478,495,[3_1|2]), (478,512,[3_1|2]), (478,236,[3_1|2]), (478,529,[1_1|2]), (479,480,[2_1|2]), (480,481,[1_1|2]), (481,482,[5_1|2]), (482,483,[2_1|2]), (483,484,[5_1|2]), (484,485,[1_1|2]), (485,486,[4_1|2]), (486,487,[0_1|2]), (487,488,[3_1|2]), (488,489,[5_1|2]), (489,490,[3_1|2]), (490,491,[1_1|2]), (491,492,[4_1|2]), (492,493,[2_1|2]), (493,494,[3_1|2]), (493,512,[3_1|2]), (493,529,[1_1|2]), (494,150,[5_1|2]), (494,198,[5_1|2]), (494,252,[5_1|2]), (494,292,[5_1|2]), (494,304,[5_1|2]), (494,248,[3_1|2]), (494,260,[2_1|2]), (494,270,[2_1|2]), (494,281,[1_1|2]), (494,317,[3_1|2]), (494,332,[3_1|2]), (494,349,[4_1|2]), (495,496,[5_1|2]), (496,497,[3_1|2]), (497,498,[3_1|2]), (498,499,[0_1|2]), (499,500,[2_1|2]), (500,501,[5_1|2]), (501,502,[1_1|2]), (502,503,[5_1|2]), (503,504,[4_1|2]), (504,505,[4_1|2]), (505,506,[3_1|2]), (506,507,[1_1|2]), (507,508,[2_1|2]), (508,509,[3_1|2]), (509,510,[4_1|2]), (510,511,[3_1|2]), (510,512,[3_1|2]), (510,529,[1_1|2]), (511,150,[5_1|2]), (511,198,[5_1|2]), (511,252,[5_1|2]), (511,292,[5_1|2]), (511,304,[5_1|2]), (511,154,[5_1|2]), (511,401,[5_1|2]), (511,417,[5_1|2]), (511,462,[5_1|2]), (511,248,[3_1|2]), (511,260,[2_1|2]), (511,270,[2_1|2]), (511,281,[1_1|2]), (511,317,[3_1|2]), (511,332,[3_1|2]), (511,349,[4_1|2]), (512,513,[0_1|2]), (513,514,[5_1|2]), (514,515,[5_1|2]), (515,516,[4_1|2]), (516,517,[5_1|2]), (517,518,[1_1|2]), (518,519,[4_1|2]), (519,520,[3_1|2]), (520,521,[0_1|2]), (521,522,[0_1|2]), (522,523,[5_1|2]), (523,524,[5_1|2]), (524,525,[3_1|2]), (525,526,[3_1|2]), (526,527,[1_1|2]), (527,528,[2_1|2]), (527,215,[4_1|2]), (527,218,[4_1|2]), (528,150,[3_1|2]), (528,151,[3_1|2]), (528,166,[3_1|2]), (528,177,[3_1|2]), (528,248,[3_1|2]), (528,317,[3_1|2]), (528,332,[3_1|2]), (528,495,[3_1|2]), (528,512,[3_1|2]), (528,529,[1_1|2]), (529,530,[1_1|2]), (530,531,[4_1|2]), (531,532,[1_1|2]), (532,533,[1_1|2]), (533,534,[3_1|2]), (534,535,[2_1|2]), (535,536,[5_1|2]), (536,537,[3_1|2]), (537,538,[4_1|2]), (538,539,[5_1|2]), (539,540,[2_1|2]), (540,541,[4_1|2]), (541,542,[4_1|2]), (542,543,[0_1|2]), (543,544,[2_1|2]), (544,545,[0_1|2]), (545,546,[0_1|2]), (546,150,[0_1|2]), (546,423,[0_1|2]), (546,151,[3_1|2]), (546,153,[1_1|2]), (546,166,[3_1|2]), (546,171,[4_1|2]), (546,177,[3_1|2]), (546,190,[2_1|2]), (546,198,[5_1|2])}" ---------------------------------------- (8) BOUNDS(1, n^1)