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# AProVE Commit ID: 794c25de1cacf0d048858bcd21c9a779e1221865 marcel 20200619 unpublished dirty The Derivational Complexity (innermost) of the given DCpxTrs could be proven to be BOUNDS(1, n^1).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), 42 ms] (4) CpxRelTRS (5) RelTrsToTrsProof [UPPER BOUND(ID), 0 ms] (6) CpxTRS (7) CpxTrsMatchBoundsProof [FINISHED, 118 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(0(1(0(2(3(x1)))))) -> 2(2(2(4(2(3(x1)))))) 2(2(0(0(3(0(3(x1))))))) -> 2(2(4(4(5(4(2(x1))))))) 0(4(3(0(4(3(2(0(2(4(x1)))))))))) -> 0(5(3(1(0(1(3(4(4(x1))))))))) 1(0(1(1(1(5(4(3(2(1(x1)))))))))) -> 2(4(2(1(5(1(5(4(2(1(x1)))))))))) 1(5(5(4(3(0(3(2(2(0(x1)))))))))) -> 2(0(5(0(5(2(2(0(2(0(x1)))))))))) 2(1(4(4(1(3(0(0(1(2(x1)))))))))) -> 4(1(2(5(2(2(3(4(5(1(x1)))))))))) 2(2(2(5(5(4(0(4(1(5(x1)))))))))) -> 2(5(3(4(2(2(4(2(5(x1))))))))) 4(4(5(1(3(0(5(0(5(2(5(x1))))))))))) -> 0(0(0(0(1(0(3(0(0(5(x1)))))))))) 0(0(2(2(2(3(5(0(5(3(2(3(x1)))))))))))) -> 3(2(3(1(5(3(5(3(5(5(2(x1))))))))))) 1(5(0(5(5(0(2(0(4(5(3(3(x1)))))))))))) -> 1(5(2(2(5(2(1(5(4(3(1(3(x1)))))))))))) 3(1(2(3(1(3(5(5(2(5(1(2(2(x1))))))))))))) -> 3(5(4(4(1(1(3(1(4(0(3(3(x1)))))))))))) 3(2(0(5(4(4(4(3(0(0(3(2(2(x1))))))))))))) -> 0(5(3(2(2(2(5(4(0(4(1(5(x1)))))))))))) 4(5(2(0(2(4(3(2(2(5(5(4(0(3(2(x1))))))))))))))) -> 4(5(2(0(1(2(2(3(4(5(5(5(5(5(x1)))))))))))))) 3(0(0(5(5(0(1(0(5(3(0(2(1(2(1(3(x1)))))))))))))))) -> 3(5(5(0(5(2(4(2(1(1(5(2(4(5(4(1(5(x1))))))))))))))))) 3(1(0(1(4(3(4(3(4(0(2(5(4(1(2(5(x1)))))))))))))))) -> 3(0(0(5(0(1(0(5(5(1(4(1(2(2(5(x1))))))))))))))) 3(5(4(0(4(2(1(1(0(4(4(3(2(1(2(3(x1)))))))))))))))) -> 3(2(0(0(1(1(2(3(5(1(5(3(2(2(2(x1))))))))))))))) 5(1(0(5(2(3(5(3(2(5(3(4(4(4(4(0(4(x1))))))))))))))))) -> 5(3(1(5(2(0(4(0(2(1(1(2(0(0(3(2(4(x1))))))))))))))))) 2(1(1(2(4(5(5(1(0(5(0(2(0(2(4(3(0(2(x1)))))))))))))))))) -> 2(3(3(5(5(0(0(2(1(0(5(0(3(5(2(3(1(x1))))))))))))))))) 2(3(2(0(2(5(4(4(4(3(4(4(5(5(5(3(2(0(x1)))))))))))))))))) -> 2(1(5(1(2(4(4(2(4(0(1(3(3(1(4(4(0(3(x1)))))))))))))))))) 5(3(4(0(3(3(1(4(4(0(3(2(5(3(1(0(0(3(x1)))))))))))))))))) -> 5(3(3(0(4(3(4(4(0(2(4(2(1(5(3(5(1(4(x1)))))))))))))))))) 1(1(0(0(3(3(4(0(5(1(3(3(0(2(2(3(0(1(2(x1))))))))))))))))))) -> 1(1(0(3(2(4(3(4(0(3(3(4(4(0(0(2(3(3(4(x1))))))))))))))))))) 3(1(3(0(0(2(3(2(3(0(3(3(2(5(2(3(0(4(0(x1))))))))))))))))))) -> 3(4(1(4(4(5(3(5(0(1(4(4(4(3(0(4(0(0(0(x1))))))))))))))))))) 4(3(0(1(0(2(1(4(0(2(1(2(3(0(3(3(0(1(3(x1))))))))))))))))))) -> 3(4(2(5(1(0(0(3(0(3(5(0(0(0(4(4(4(5(4(x1))))))))))))))))))) 4(5(5(5(0(5(4(5(5(2(0(4(0(3(5(0(4(4(0(x1))))))))))))))))))) -> 1(1(5(3(0(2(3(4(0(3(5(1(2(2(4(0(0(2(2(x1))))))))))))))))))) 0(2(1(4(5(0(2(4(3(1(3(1(2(5(3(0(4(0(2(2(x1)))))))))))))))))))) -> 0(0(2(5(1(0(0(4(2(2(2(4(2(1(3(2(4(3(1(3(x1)))))))))))))))))))) 1(2(3(3(5(1(0(2(3(4(5(4(1(5(4(2(5(0(2(4(x1)))))))))))))))))))) -> 1(2(4(5(1(4(5(1(4(3(5(1(4(3(4(3(1(4(1(4(x1)))))))))))))))))))) 1(5(0(0(3(3(5(1(1(0(0(2(5(4(4(5(1(1(5(4(x1)))))))))))))))))))) -> 1(1(2(1(3(2(4(1(1(5(0(1(3(5(4(5(1(5(4(x1))))))))))))))))))) 1(5(1(4(3(2(3(1(5(5(4(2(5(5(5(2(1(3(5(2(2(x1))))))))))))))))))))) -> 1(0(5(2(2(0(0(5(0(2(4(3(2(5(3(1(0(3(5(2(5(x1))))))))))))))))))))) 4(4(4(0(0(2(1(2(1(5(5(2(5(0(4(0(0(1(0(4(0(x1))))))))))))))))))))) -> 0(0(1(4(3(3(5(1(5(5(3(5(1(4(0(5(5(5(3(x1))))))))))))))))))) 5(5(3(3(1(4(1(2(2(3(1(0(0(2(5(5(5(5(5(3(0(x1))))))))))))))))))))) -> 5(5(0(2(3(5(5(3(3(4(3(1(3(3(3(2(0(0(0(3(5(x1))))))))))))))))))))) S is empty. Rewrite Strategy: INNERMOST ---------------------------------------- (1) DerivationalComplexityToRuntimeComplexityProof (BOTH BOUNDS(ID, ID)) The following rules have been added to S to convert the given derivational complexity problem to a runtime complexity problem: encArg(cons_0(x_1)) -> 0(encArg(x_1)) encArg(cons_2(x_1)) -> 2(encArg(x_1)) encArg(cons_1(x_1)) -> 1(encArg(x_1)) encArg(cons_4(x_1)) -> 4(encArg(x_1)) encArg(cons_3(x_1)) -> 3(encArg(x_1)) encArg(cons_5(x_1)) -> 5(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(0(1(0(2(3(x1)))))) -> 2(2(2(4(2(3(x1)))))) 2(2(0(0(3(0(3(x1))))))) -> 2(2(4(4(5(4(2(x1))))))) 0(4(3(0(4(3(2(0(2(4(x1)))))))))) -> 0(5(3(1(0(1(3(4(4(x1))))))))) 1(0(1(1(1(5(4(3(2(1(x1)))))))))) -> 2(4(2(1(5(1(5(4(2(1(x1)))))))))) 1(5(5(4(3(0(3(2(2(0(x1)))))))))) -> 2(0(5(0(5(2(2(0(2(0(x1)))))))))) 2(1(4(4(1(3(0(0(1(2(x1)))))))))) -> 4(1(2(5(2(2(3(4(5(1(x1)))))))))) 2(2(2(5(5(4(0(4(1(5(x1)))))))))) -> 2(5(3(4(2(2(4(2(5(x1))))))))) 4(4(5(1(3(0(5(0(5(2(5(x1))))))))))) -> 0(0(0(0(1(0(3(0(0(5(x1)))))))))) 0(0(2(2(2(3(5(0(5(3(2(3(x1)))))))))))) -> 3(2(3(1(5(3(5(3(5(5(2(x1))))))))))) 1(5(0(5(5(0(2(0(4(5(3(3(x1)))))))))))) -> 1(5(2(2(5(2(1(5(4(3(1(3(x1)))))))))))) 3(1(2(3(1(3(5(5(2(5(1(2(2(x1))))))))))))) -> 3(5(4(4(1(1(3(1(4(0(3(3(x1)))))))))))) 3(2(0(5(4(4(4(3(0(0(3(2(2(x1))))))))))))) -> 0(5(3(2(2(2(5(4(0(4(1(5(x1)))))))))))) 4(5(2(0(2(4(3(2(2(5(5(4(0(3(2(x1))))))))))))))) -> 4(5(2(0(1(2(2(3(4(5(5(5(5(5(x1)))))))))))))) 3(0(0(5(5(0(1(0(5(3(0(2(1(2(1(3(x1)))))))))))))))) -> 3(5(5(0(5(2(4(2(1(1(5(2(4(5(4(1(5(x1))))))))))))))))) 3(1(0(1(4(3(4(3(4(0(2(5(4(1(2(5(x1)))))))))))))))) -> 3(0(0(5(0(1(0(5(5(1(4(1(2(2(5(x1))))))))))))))) 3(5(4(0(4(2(1(1(0(4(4(3(2(1(2(3(x1)))))))))))))))) -> 3(2(0(0(1(1(2(3(5(1(5(3(2(2(2(x1))))))))))))))) 5(1(0(5(2(3(5(3(2(5(3(4(4(4(4(0(4(x1))))))))))))))))) -> 5(3(1(5(2(0(4(0(2(1(1(2(0(0(3(2(4(x1))))))))))))))))) 2(1(1(2(4(5(5(1(0(5(0(2(0(2(4(3(0(2(x1)))))))))))))))))) -> 2(3(3(5(5(0(0(2(1(0(5(0(3(5(2(3(1(x1))))))))))))))))) 2(3(2(0(2(5(4(4(4(3(4(4(5(5(5(3(2(0(x1)))))))))))))))))) -> 2(1(5(1(2(4(4(2(4(0(1(3(3(1(4(4(0(3(x1)))))))))))))))))) 5(3(4(0(3(3(1(4(4(0(3(2(5(3(1(0(0(3(x1)))))))))))))))))) -> 5(3(3(0(4(3(4(4(0(2(4(2(1(5(3(5(1(4(x1)))))))))))))))))) 1(1(0(0(3(3(4(0(5(1(3(3(0(2(2(3(0(1(2(x1))))))))))))))))))) -> 1(1(0(3(2(4(3(4(0(3(3(4(4(0(0(2(3(3(4(x1))))))))))))))))))) 3(1(3(0(0(2(3(2(3(0(3(3(2(5(2(3(0(4(0(x1))))))))))))))))))) -> 3(4(1(4(4(5(3(5(0(1(4(4(4(3(0(4(0(0(0(x1))))))))))))))))))) 4(3(0(1(0(2(1(4(0(2(1(2(3(0(3(3(0(1(3(x1))))))))))))))))))) -> 3(4(2(5(1(0(0(3(0(3(5(0(0(0(4(4(4(5(4(x1))))))))))))))))))) 4(5(5(5(0(5(4(5(5(2(0(4(0(3(5(0(4(4(0(x1))))))))))))))))))) -> 1(1(5(3(0(2(3(4(0(3(5(1(2(2(4(0(0(2(2(x1))))))))))))))))))) 0(2(1(4(5(0(2(4(3(1(3(1(2(5(3(0(4(0(2(2(x1)))))))))))))))))))) -> 0(0(2(5(1(0(0(4(2(2(2(4(2(1(3(2(4(3(1(3(x1)))))))))))))))))))) 1(2(3(3(5(1(0(2(3(4(5(4(1(5(4(2(5(0(2(4(x1)))))))))))))))))))) -> 1(2(4(5(1(4(5(1(4(3(5(1(4(3(4(3(1(4(1(4(x1)))))))))))))))))))) 1(5(0(0(3(3(5(1(1(0(0(2(5(4(4(5(1(1(5(4(x1)))))))))))))))))))) -> 1(1(2(1(3(2(4(1(1(5(0(1(3(5(4(5(1(5(4(x1))))))))))))))))))) 1(5(1(4(3(2(3(1(5(5(4(2(5(5(5(2(1(3(5(2(2(x1))))))))))))))))))))) -> 1(0(5(2(2(0(0(5(0(2(4(3(2(5(3(1(0(3(5(2(5(x1))))))))))))))))))))) 4(4(4(0(0(2(1(2(1(5(5(2(5(0(4(0(0(1(0(4(0(x1))))))))))))))))))))) -> 0(0(1(4(3(3(5(1(5(5(3(5(1(4(0(5(5(5(3(x1))))))))))))))))))) 5(5(3(3(1(4(1(2(2(3(1(0(0(2(5(5(5(5(5(3(0(x1))))))))))))))))))))) -> 5(5(0(2(3(5(5(3(3(4(3(1(3(3(3(2(0(0(0(3(5(x1))))))))))))))))))))) The (relative) TRS S consists of the following rules: encArg(cons_0(x_1)) -> 0(encArg(x_1)) encArg(cons_2(x_1)) -> 2(encArg(x_1)) encArg(cons_1(x_1)) -> 1(encArg(x_1)) encArg(cons_4(x_1)) -> 4(encArg(x_1)) encArg(cons_3(x_1)) -> 3(encArg(x_1)) encArg(cons_5(x_1)) -> 5(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(0(1(0(2(3(x1)))))) -> 2(2(2(4(2(3(x1)))))) 2(2(0(0(3(0(3(x1))))))) -> 2(2(4(4(5(4(2(x1))))))) 0(4(3(0(4(3(2(0(2(4(x1)))))))))) -> 0(5(3(1(0(1(3(4(4(x1))))))))) 1(0(1(1(1(5(4(3(2(1(x1)))))))))) -> 2(4(2(1(5(1(5(4(2(1(x1)))))))))) 1(5(5(4(3(0(3(2(2(0(x1)))))))))) -> 2(0(5(0(5(2(2(0(2(0(x1)))))))))) 2(1(4(4(1(3(0(0(1(2(x1)))))))))) -> 4(1(2(5(2(2(3(4(5(1(x1)))))))))) 2(2(2(5(5(4(0(4(1(5(x1)))))))))) -> 2(5(3(4(2(2(4(2(5(x1))))))))) 4(4(5(1(3(0(5(0(5(2(5(x1))))))))))) -> 0(0(0(0(1(0(3(0(0(5(x1)))))))))) 0(0(2(2(2(3(5(0(5(3(2(3(x1)))))))))))) -> 3(2(3(1(5(3(5(3(5(5(2(x1))))))))))) 1(5(0(5(5(0(2(0(4(5(3(3(x1)))))))))))) -> 1(5(2(2(5(2(1(5(4(3(1(3(x1)))))))))))) 3(1(2(3(1(3(5(5(2(5(1(2(2(x1))))))))))))) -> 3(5(4(4(1(1(3(1(4(0(3(3(x1)))))))))))) 3(2(0(5(4(4(4(3(0(0(3(2(2(x1))))))))))))) -> 0(5(3(2(2(2(5(4(0(4(1(5(x1)))))))))))) 4(5(2(0(2(4(3(2(2(5(5(4(0(3(2(x1))))))))))))))) -> 4(5(2(0(1(2(2(3(4(5(5(5(5(5(x1)))))))))))))) 3(0(0(5(5(0(1(0(5(3(0(2(1(2(1(3(x1)))))))))))))))) -> 3(5(5(0(5(2(4(2(1(1(5(2(4(5(4(1(5(x1))))))))))))))))) 3(1(0(1(4(3(4(3(4(0(2(5(4(1(2(5(x1)))))))))))))))) -> 3(0(0(5(0(1(0(5(5(1(4(1(2(2(5(x1))))))))))))))) 3(5(4(0(4(2(1(1(0(4(4(3(2(1(2(3(x1)))))))))))))))) -> 3(2(0(0(1(1(2(3(5(1(5(3(2(2(2(x1))))))))))))))) 5(1(0(5(2(3(5(3(2(5(3(4(4(4(4(0(4(x1))))))))))))))))) -> 5(3(1(5(2(0(4(0(2(1(1(2(0(0(3(2(4(x1))))))))))))))))) 2(1(1(2(4(5(5(1(0(5(0(2(0(2(4(3(0(2(x1)))))))))))))))))) -> 2(3(3(5(5(0(0(2(1(0(5(0(3(5(2(3(1(x1))))))))))))))))) 2(3(2(0(2(5(4(4(4(3(4(4(5(5(5(3(2(0(x1)))))))))))))))))) -> 2(1(5(1(2(4(4(2(4(0(1(3(3(1(4(4(0(3(x1)))))))))))))))))) 5(3(4(0(3(3(1(4(4(0(3(2(5(3(1(0(0(3(x1)))))))))))))))))) -> 5(3(3(0(4(3(4(4(0(2(4(2(1(5(3(5(1(4(x1)))))))))))))))))) 1(1(0(0(3(3(4(0(5(1(3(3(0(2(2(3(0(1(2(x1))))))))))))))))))) -> 1(1(0(3(2(4(3(4(0(3(3(4(4(0(0(2(3(3(4(x1))))))))))))))))))) 3(1(3(0(0(2(3(2(3(0(3(3(2(5(2(3(0(4(0(x1))))))))))))))))))) -> 3(4(1(4(4(5(3(5(0(1(4(4(4(3(0(4(0(0(0(x1))))))))))))))))))) 4(3(0(1(0(2(1(4(0(2(1(2(3(0(3(3(0(1(3(x1))))))))))))))))))) -> 3(4(2(5(1(0(0(3(0(3(5(0(0(0(4(4(4(5(4(x1))))))))))))))))))) 4(5(5(5(0(5(4(5(5(2(0(4(0(3(5(0(4(4(0(x1))))))))))))))))))) -> 1(1(5(3(0(2(3(4(0(3(5(1(2(2(4(0(0(2(2(x1))))))))))))))))))) 0(2(1(4(5(0(2(4(3(1(3(1(2(5(3(0(4(0(2(2(x1)))))))))))))))))))) -> 0(0(2(5(1(0(0(4(2(2(2(4(2(1(3(2(4(3(1(3(x1)))))))))))))))))))) 1(2(3(3(5(1(0(2(3(4(5(4(1(5(4(2(5(0(2(4(x1)))))))))))))))))))) -> 1(2(4(5(1(4(5(1(4(3(5(1(4(3(4(3(1(4(1(4(x1)))))))))))))))))))) 1(5(0(0(3(3(5(1(1(0(0(2(5(4(4(5(1(1(5(4(x1)))))))))))))))))))) -> 1(1(2(1(3(2(4(1(1(5(0(1(3(5(4(5(1(5(4(x1))))))))))))))))))) 1(5(1(4(3(2(3(1(5(5(4(2(5(5(5(2(1(3(5(2(2(x1))))))))))))))))))))) -> 1(0(5(2(2(0(0(5(0(2(4(3(2(5(3(1(0(3(5(2(5(x1))))))))))))))))))))) 4(4(4(0(0(2(1(2(1(5(5(2(5(0(4(0(0(1(0(4(0(x1))))))))))))))))))))) -> 0(0(1(4(3(3(5(1(5(5(3(5(1(4(0(5(5(5(3(x1))))))))))))))))))) 5(5(3(3(1(4(1(2(2(3(1(0(0(2(5(5(5(5(5(3(0(x1))))))))))))))))))))) -> 5(5(0(2(3(5(5(3(3(4(3(1(3(3(3(2(0(0(0(3(5(x1))))))))))))))))))))) The (relative) TRS S consists of the following rules: encArg(cons_0(x_1)) -> 0(encArg(x_1)) encArg(cons_2(x_1)) -> 2(encArg(x_1)) encArg(cons_1(x_1)) -> 1(encArg(x_1)) encArg(cons_4(x_1)) -> 4(encArg(x_1)) encArg(cons_3(x_1)) -> 3(encArg(x_1)) encArg(cons_5(x_1)) -> 5(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(0(1(0(2(3(x1)))))) -> 2(2(2(4(2(3(x1)))))) 2(2(0(0(3(0(3(x1))))))) -> 2(2(4(4(5(4(2(x1))))))) 0(4(3(0(4(3(2(0(2(4(x1)))))))))) -> 0(5(3(1(0(1(3(4(4(x1))))))))) 1(0(1(1(1(5(4(3(2(1(x1)))))))))) -> 2(4(2(1(5(1(5(4(2(1(x1)))))))))) 1(5(5(4(3(0(3(2(2(0(x1)))))))))) -> 2(0(5(0(5(2(2(0(2(0(x1)))))))))) 2(1(4(4(1(3(0(0(1(2(x1)))))))))) -> 4(1(2(5(2(2(3(4(5(1(x1)))))))))) 2(2(2(5(5(4(0(4(1(5(x1)))))))))) -> 2(5(3(4(2(2(4(2(5(x1))))))))) 4(4(5(1(3(0(5(0(5(2(5(x1))))))))))) -> 0(0(0(0(1(0(3(0(0(5(x1)))))))))) 0(0(2(2(2(3(5(0(5(3(2(3(x1)))))))))))) -> 3(2(3(1(5(3(5(3(5(5(2(x1))))))))))) 1(5(0(5(5(0(2(0(4(5(3(3(x1)))))))))))) -> 1(5(2(2(5(2(1(5(4(3(1(3(x1)))))))))))) 3(1(2(3(1(3(5(5(2(5(1(2(2(x1))))))))))))) -> 3(5(4(4(1(1(3(1(4(0(3(3(x1)))))))))))) 3(2(0(5(4(4(4(3(0(0(3(2(2(x1))))))))))))) -> 0(5(3(2(2(2(5(4(0(4(1(5(x1)))))))))))) 4(5(2(0(2(4(3(2(2(5(5(4(0(3(2(x1))))))))))))))) -> 4(5(2(0(1(2(2(3(4(5(5(5(5(5(x1)))))))))))))) 3(0(0(5(5(0(1(0(5(3(0(2(1(2(1(3(x1)))))))))))))))) -> 3(5(5(0(5(2(4(2(1(1(5(2(4(5(4(1(5(x1))))))))))))))))) 3(1(0(1(4(3(4(3(4(0(2(5(4(1(2(5(x1)))))))))))))))) -> 3(0(0(5(0(1(0(5(5(1(4(1(2(2(5(x1))))))))))))))) 3(5(4(0(4(2(1(1(0(4(4(3(2(1(2(3(x1)))))))))))))))) -> 3(2(0(0(1(1(2(3(5(1(5(3(2(2(2(x1))))))))))))))) 5(1(0(5(2(3(5(3(2(5(3(4(4(4(4(0(4(x1))))))))))))))))) -> 5(3(1(5(2(0(4(0(2(1(1(2(0(0(3(2(4(x1))))))))))))))))) 2(1(1(2(4(5(5(1(0(5(0(2(0(2(4(3(0(2(x1)))))))))))))))))) -> 2(3(3(5(5(0(0(2(1(0(5(0(3(5(2(3(1(x1))))))))))))))))) 2(3(2(0(2(5(4(4(4(3(4(4(5(5(5(3(2(0(x1)))))))))))))))))) -> 2(1(5(1(2(4(4(2(4(0(1(3(3(1(4(4(0(3(x1)))))))))))))))))) 5(3(4(0(3(3(1(4(4(0(3(2(5(3(1(0(0(3(x1)))))))))))))))))) -> 5(3(3(0(4(3(4(4(0(2(4(2(1(5(3(5(1(4(x1)))))))))))))))))) 1(1(0(0(3(3(4(0(5(1(3(3(0(2(2(3(0(1(2(x1))))))))))))))))))) -> 1(1(0(3(2(4(3(4(0(3(3(4(4(0(0(2(3(3(4(x1))))))))))))))))))) 3(1(3(0(0(2(3(2(3(0(3(3(2(5(2(3(0(4(0(x1))))))))))))))))))) -> 3(4(1(4(4(5(3(5(0(1(4(4(4(3(0(4(0(0(0(x1))))))))))))))))))) 4(3(0(1(0(2(1(4(0(2(1(2(3(0(3(3(0(1(3(x1))))))))))))))))))) -> 3(4(2(5(1(0(0(3(0(3(5(0(0(0(4(4(4(5(4(x1))))))))))))))))))) 4(5(5(5(0(5(4(5(5(2(0(4(0(3(5(0(4(4(0(x1))))))))))))))))))) -> 1(1(5(3(0(2(3(4(0(3(5(1(2(2(4(0(0(2(2(x1))))))))))))))))))) 0(2(1(4(5(0(2(4(3(1(3(1(2(5(3(0(4(0(2(2(x1)))))))))))))))))))) -> 0(0(2(5(1(0(0(4(2(2(2(4(2(1(3(2(4(3(1(3(x1)))))))))))))))))))) 1(2(3(3(5(1(0(2(3(4(5(4(1(5(4(2(5(0(2(4(x1)))))))))))))))))))) -> 1(2(4(5(1(4(5(1(4(3(5(1(4(3(4(3(1(4(1(4(x1)))))))))))))))))))) 1(5(0(0(3(3(5(1(1(0(0(2(5(4(4(5(1(1(5(4(x1)))))))))))))))))))) -> 1(1(2(1(3(2(4(1(1(5(0(1(3(5(4(5(1(5(4(x1))))))))))))))))))) 1(5(1(4(3(2(3(1(5(5(4(2(5(5(5(2(1(3(5(2(2(x1))))))))))))))))))))) -> 1(0(5(2(2(0(0(5(0(2(4(3(2(5(3(1(0(3(5(2(5(x1))))))))))))))))))))) 4(4(4(0(0(2(1(2(1(5(5(2(5(0(4(0(0(1(0(4(0(x1))))))))))))))))))))) -> 0(0(1(4(3(3(5(1(5(5(3(5(1(4(0(5(5(5(3(x1))))))))))))))))))) 5(5(3(3(1(4(1(2(2(3(1(0(0(2(5(5(5(5(5(3(0(x1))))))))))))))))))))) -> 5(5(0(2(3(5(5(3(3(4(3(1(3(3(3(2(0(0(0(3(5(x1))))))))))))))))))))) encArg(cons_0(x_1)) -> 0(encArg(x_1)) encArg(cons_2(x_1)) -> 2(encArg(x_1)) encArg(cons_1(x_1)) -> 1(encArg(x_1)) encArg(cons_4(x_1)) -> 4(encArg(x_1)) encArg(cons_3(x_1)) -> 3(encArg(x_1)) encArg(cons_5(x_1)) -> 5(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. "[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] {(150,151,[0_1|0, 2_1|0, 1_1|0, 4_1|0, 3_1|0, 5_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]), (150,152,[0_1|1, 2_1|1, 1_1|1, 4_1|1, 3_1|1, 5_1|1]), (150,153,[2_1|2]), (150,158,[3_1|2]), (150,168,[0_1|2]), (150,176,[0_1|2]), (150,195,[2_1|2]), (150,201,[2_1|2]), (150,209,[4_1|2]), (150,218,[2_1|2]), (150,234,[2_1|2]), (150,251,[2_1|2]), (150,260,[2_1|2]), (150,269,[1_1|2]), (150,280,[1_1|2]), (150,298,[1_1|2]), (150,318,[1_1|2]), (150,336,[1_1|2]), (150,355,[0_1|2]), (150,364,[0_1|2]), (150,382,[4_1|2]), (150,395,[1_1|2]), (150,413,[3_1|2]), (150,431,[3_1|2]), (150,442,[3_1|2]), (150,456,[3_1|2]), (150,474,[0_1|2]), (150,485,[3_1|2]), (150,501,[3_1|2]), (150,515,[5_1|2]), (150,531,[5_1|2]), (150,548,[5_1|2]), (151,151,[cons_0_1|0, cons_2_1|0, cons_1_1|0, cons_4_1|0, cons_3_1|0, cons_5_1|0]), (152,151,[encArg_1|1]), (152,152,[0_1|1, 2_1|1, 1_1|1, 4_1|1, 3_1|1, 5_1|1]), (152,153,[2_1|2]), (152,158,[3_1|2]), (152,168,[0_1|2]), (152,176,[0_1|2]), (152,195,[2_1|2]), (152,201,[2_1|2]), (152,209,[4_1|2]), (152,218,[2_1|2]), (152,234,[2_1|2]), (152,251,[2_1|2]), (152,260,[2_1|2]), (152,269,[1_1|2]), (152,280,[1_1|2]), (152,298,[1_1|2]), (152,318,[1_1|2]), (152,336,[1_1|2]), (152,355,[0_1|2]), (152,364,[0_1|2]), (152,382,[4_1|2]), (152,395,[1_1|2]), (152,413,[3_1|2]), (152,431,[3_1|2]), (152,442,[3_1|2]), (152,456,[3_1|2]), (152,474,[0_1|2]), (152,485,[3_1|2]), (152,501,[3_1|2]), (152,515,[5_1|2]), (152,531,[5_1|2]), (152,548,[5_1|2]), (153,154,[2_1|2]), (154,155,[2_1|2]), (155,156,[4_1|2]), (156,157,[2_1|2]), (156,234,[2_1|2]), (157,152,[3_1|2]), (157,158,[3_1|2]), (157,413,[3_1|2]), (157,431,[3_1|2]), (157,442,[3_1|2]), (157,456,[3_1|2]), (157,485,[3_1|2]), (157,501,[3_1|2]), (157,219,[3_1|2]), (157,474,[0_1|2]), (158,159,[2_1|2]), (159,160,[3_1|2]), (160,161,[1_1|2]), (161,162,[5_1|2]), (162,163,[3_1|2]), (163,164,[5_1|2]), (164,165,[3_1|2]), (165,166,[5_1|2]), (166,167,[5_1|2]), (167,152,[2_1|2]), (167,158,[2_1|2]), (167,413,[2_1|2]), (167,431,[2_1|2]), (167,442,[2_1|2]), (167,456,[2_1|2]), (167,485,[2_1|2]), (167,501,[2_1|2]), (167,219,[2_1|2]), (167,160,[2_1|2]), (167,195,[2_1|2]), (167,201,[2_1|2]), (167,209,[4_1|2]), (167,218,[2_1|2]), (167,234,[2_1|2]), (168,169,[5_1|2]), (169,170,[3_1|2]), (170,171,[1_1|2]), (171,172,[0_1|2]), (172,173,[1_1|2]), (173,174,[3_1|2]), (174,175,[4_1|2]), (174,355,[0_1|2]), (174,364,[0_1|2]), (175,152,[4_1|2]), (175,209,[4_1|2]), (175,382,[4_1|2]), (175,252,[4_1|2]), (175,355,[0_1|2]), (175,364,[0_1|2]), (175,395,[1_1|2]), (175,413,[3_1|2]), (176,177,[0_1|2]), (177,178,[2_1|2]), (178,179,[5_1|2]), (179,180,[1_1|2]), (180,181,[0_1|2]), (181,182,[0_1|2]), (182,183,[4_1|2]), (183,184,[2_1|2]), (184,185,[2_1|2]), (185,186,[2_1|2]), (186,187,[4_1|2]), (187,188,[2_1|2]), (188,189,[1_1|2]), (189,190,[3_1|2]), (190,191,[2_1|2]), (191,192,[4_1|2]), (192,193,[3_1|2]), (192,456,[3_1|2]), (193,194,[1_1|2]), (194,152,[3_1|2]), (194,153,[3_1|2]), (194,195,[3_1|2]), (194,201,[3_1|2]), (194,218,[3_1|2]), (194,234,[3_1|2]), (194,251,[3_1|2]), (194,260,[3_1|2]), (194,154,[3_1|2]), (194,196,[3_1|2]), (194,431,[3_1|2]), (194,442,[3_1|2]), (194,456,[3_1|2]), (194,474,[0_1|2]), (194,485,[3_1|2]), (194,501,[3_1|2]), (195,196,[2_1|2]), (196,197,[4_1|2]), (197,198,[4_1|2]), (198,199,[5_1|2]), (199,200,[4_1|2]), (200,152,[2_1|2]), (200,158,[2_1|2]), (200,413,[2_1|2]), (200,431,[2_1|2]), (200,442,[2_1|2]), (200,456,[2_1|2]), (200,485,[2_1|2]), (200,501,[2_1|2]), (200,195,[2_1|2]), (200,201,[2_1|2]), (200,209,[4_1|2]), (200,218,[2_1|2]), (200,234,[2_1|2]), (201,202,[5_1|2]), (202,203,[3_1|2]), (203,204,[4_1|2]), (204,205,[2_1|2]), (205,206,[2_1|2]), (206,207,[4_1|2]), (207,208,[2_1|2]), (208,152,[5_1|2]), (208,515,[5_1|2]), (208,531,[5_1|2]), (208,548,[5_1|2]), (208,270,[5_1|2]), (209,210,[1_1|2]), (210,211,[2_1|2]), (211,212,[5_1|2]), (212,213,[2_1|2]), (213,214,[2_1|2]), (214,215,[3_1|2]), (215,216,[4_1|2]), (216,217,[5_1|2]), (216,515,[5_1|2]), (217,152,[1_1|2]), (217,153,[1_1|2]), (217,195,[1_1|2]), (217,201,[1_1|2]), (217,218,[1_1|2]), (217,234,[1_1|2]), (217,251,[1_1|2, 2_1|2]), (217,260,[1_1|2, 2_1|2]), (217,337,[1_1|2]), (217,269,[1_1|2]), (217,280,[1_1|2]), (217,298,[1_1|2]), (217,318,[1_1|2]), (217,336,[1_1|2]), (218,219,[3_1|2]), (219,220,[3_1|2]), (220,221,[5_1|2]), (221,222,[5_1|2]), (222,223,[0_1|2]), (223,224,[0_1|2]), (224,225,[2_1|2]), (225,226,[1_1|2]), (226,227,[0_1|2]), (227,228,[5_1|2]), (228,229,[0_1|2]), (229,230,[3_1|2]), (230,231,[5_1|2]), (231,232,[2_1|2]), (232,233,[3_1|2]), (232,431,[3_1|2]), (232,442,[3_1|2]), (232,456,[3_1|2]), (233,152,[1_1|2]), (233,153,[1_1|2]), (233,195,[1_1|2]), (233,201,[1_1|2]), (233,218,[1_1|2]), (233,234,[1_1|2]), (233,251,[1_1|2, 2_1|2]), (233,260,[1_1|2, 2_1|2]), (233,269,[1_1|2]), (233,280,[1_1|2]), (233,298,[1_1|2]), (233,318,[1_1|2]), (233,336,[1_1|2]), (234,235,[1_1|2]), (235,236,[5_1|2]), (236,237,[1_1|2]), (237,238,[2_1|2]), (238,239,[4_1|2]), (239,240,[4_1|2]), (240,241,[2_1|2]), (241,242,[4_1|2]), (242,243,[0_1|2]), (243,244,[1_1|2]), (244,245,[3_1|2]), (245,246,[3_1|2]), (246,247,[1_1|2]), (247,248,[4_1|2]), (248,249,[4_1|2]), (249,250,[0_1|2]), (250,152,[3_1|2]), (250,168,[3_1|2]), (250,176,[3_1|2]), (250,355,[3_1|2]), (250,364,[3_1|2]), (250,474,[3_1|2, 0_1|2]), (250,261,[3_1|2]), (250,503,[3_1|2]), (250,431,[3_1|2]), (250,442,[3_1|2]), (250,456,[3_1|2]), (250,485,[3_1|2]), (250,501,[3_1|2]), (251,252,[4_1|2]), (252,253,[2_1|2]), (253,254,[1_1|2]), (254,255,[5_1|2]), (255,256,[1_1|2]), (256,257,[5_1|2]), (257,258,[4_1|2]), (258,259,[2_1|2]), (258,209,[4_1|2]), (258,218,[2_1|2]), (259,152,[1_1|2]), (259,269,[1_1|2]), (259,280,[1_1|2]), (259,298,[1_1|2]), (259,318,[1_1|2]), (259,336,[1_1|2]), (259,395,[1_1|2]), (259,235,[1_1|2]), (259,251,[2_1|2]), (259,260,[2_1|2]), (260,261,[0_1|2]), (261,262,[5_1|2]), (262,263,[0_1|2]), (263,264,[5_1|2]), (264,265,[2_1|2]), (265,266,[2_1|2]), (266,267,[0_1|2]), (267,268,[2_1|2]), (268,152,[0_1|2]), (268,168,[0_1|2]), (268,176,[0_1|2]), (268,355,[0_1|2]), (268,364,[0_1|2]), (268,474,[0_1|2]), (268,261,[0_1|2]), (268,153,[2_1|2]), (268,158,[3_1|2]), (269,270,[5_1|2]), (270,271,[2_1|2]), (271,272,[2_1|2]), (272,273,[5_1|2]), (273,274,[2_1|2]), (274,275,[1_1|2]), (275,276,[5_1|2]), (276,277,[4_1|2]), (277,278,[3_1|2]), (277,456,[3_1|2]), (278,279,[1_1|2]), (279,152,[3_1|2]), (279,158,[3_1|2]), (279,413,[3_1|2]), (279,431,[3_1|2]), (279,442,[3_1|2]), (279,456,[3_1|2]), (279,485,[3_1|2]), (279,501,[3_1|2]), (279,533,[3_1|2]), (279,474,[0_1|2]), (280,281,[1_1|2]), (281,282,[2_1|2]), (282,283,[1_1|2]), (283,284,[3_1|2]), (284,285,[2_1|2]), (285,286,[4_1|2]), (286,287,[1_1|2]), (287,288,[1_1|2]), (288,289,[5_1|2]), (289,290,[0_1|2]), (290,291,[1_1|2]), (291,292,[3_1|2]), (292,293,[5_1|2]), (293,294,[4_1|2]), (294,295,[5_1|2]), (295,296,[1_1|2]), (296,297,[5_1|2]), (297,152,[4_1|2]), (297,209,[4_1|2]), (297,382,[4_1|2]), (297,355,[0_1|2]), (297,364,[0_1|2]), (297,395,[1_1|2]), (297,413,[3_1|2]), (298,299,[0_1|2]), (299,300,[5_1|2]), (300,301,[2_1|2]), (301,302,[2_1|2]), (302,303,[0_1|2]), (303,304,[0_1|2]), (304,305,[5_1|2]), (305,306,[0_1|2]), (306,307,[2_1|2]), (307,308,[4_1|2]), (308,309,[3_1|2]), (309,310,[2_1|2]), (310,311,[5_1|2]), (311,312,[3_1|2]), (312,313,[1_1|2]), (313,314,[0_1|2]), (314,315,[3_1|2]), (315,316,[5_1|2]), (316,317,[2_1|2]), (317,152,[5_1|2]), (317,153,[5_1|2]), (317,195,[5_1|2]), (317,201,[5_1|2]), (317,218,[5_1|2]), (317,234,[5_1|2]), (317,251,[5_1|2]), (317,260,[5_1|2]), (317,154,[5_1|2]), (317,196,[5_1|2]), (317,515,[5_1|2]), (317,531,[5_1|2]), (317,548,[5_1|2]), (318,319,[1_1|2]), (319,320,[0_1|2]), (320,321,[3_1|2]), (321,322,[2_1|2]), (322,323,[4_1|2]), (323,324,[3_1|2]), (324,325,[4_1|2]), (325,326,[0_1|2]), (326,327,[3_1|2]), (327,328,[3_1|2]), (328,329,[4_1|2]), (329,330,[4_1|2]), (330,331,[0_1|2]), (331,332,[0_1|2]), (332,333,[2_1|2]), (333,334,[3_1|2]), (334,335,[3_1|2]), (335,152,[4_1|2]), (335,153,[4_1|2]), (335,195,[4_1|2]), (335,201,[4_1|2]), (335,218,[4_1|2]), (335,234,[4_1|2]), (335,251,[4_1|2]), (335,260,[4_1|2]), (335,337,[4_1|2]), (335,355,[0_1|2]), (335,364,[0_1|2]), (335,382,[4_1|2]), (335,395,[1_1|2]), (335,413,[3_1|2]), (336,337,[2_1|2]), (337,338,[4_1|2]), (338,339,[5_1|2]), (339,340,[1_1|2]), (340,341,[4_1|2]), (341,342,[5_1|2]), (342,343,[1_1|2]), (343,344,[4_1|2]), (344,345,[3_1|2]), (345,346,[5_1|2]), (346,347,[1_1|2]), (347,348,[4_1|2]), (348,349,[3_1|2]), (349,350,[4_1|2]), (350,351,[3_1|2]), (351,352,[1_1|2]), (352,353,[4_1|2]), (353,354,[1_1|2]), (354,152,[4_1|2]), (354,209,[4_1|2]), (354,382,[4_1|2]), (354,252,[4_1|2]), (354,355,[0_1|2]), (354,364,[0_1|2]), (354,395,[1_1|2]), (354,413,[3_1|2]), (355,356,[0_1|2]), (356,357,[0_1|2]), (357,358,[0_1|2]), (358,359,[1_1|2]), (359,360,[0_1|2]), (360,361,[3_1|2]), (360,485,[3_1|2]), (361,362,[0_1|2]), (362,363,[0_1|2]), (363,152,[5_1|2]), (363,515,[5_1|2]), (363,531,[5_1|2]), (363,548,[5_1|2]), (363,202,[5_1|2]), (364,365,[0_1|2]), (365,366,[1_1|2]), (366,367,[4_1|2]), (367,368,[3_1|2]), (368,369,[3_1|2]), (369,370,[5_1|2]), (370,371,[1_1|2]), (371,372,[5_1|2]), (372,373,[5_1|2]), (373,374,[3_1|2]), (374,375,[5_1|2]), (375,376,[1_1|2]), (376,377,[4_1|2]), (377,378,[0_1|2]), (378,379,[5_1|2]), (379,380,[5_1|2]), (379,548,[5_1|2]), (380,381,[5_1|2]), (380,531,[5_1|2]), (381,152,[3_1|2]), (381,168,[3_1|2]), (381,176,[3_1|2]), (381,355,[3_1|2]), (381,364,[3_1|2]), (381,474,[3_1|2, 0_1|2]), (381,431,[3_1|2]), (381,442,[3_1|2]), (381,456,[3_1|2]), (381,485,[3_1|2]), (381,501,[3_1|2]), (382,383,[5_1|2]), (383,384,[2_1|2]), (384,385,[0_1|2]), (385,386,[1_1|2]), (386,387,[2_1|2]), (387,388,[2_1|2]), (388,389,[3_1|2]), (389,390,[4_1|2]), (390,391,[5_1|2]), (391,392,[5_1|2]), (392,393,[5_1|2]), (393,394,[5_1|2]), (393,548,[5_1|2]), (394,152,[5_1|2]), (394,153,[5_1|2]), (394,195,[5_1|2]), (394,201,[5_1|2]), (394,218,[5_1|2]), (394,234,[5_1|2]), (394,251,[5_1|2]), (394,260,[5_1|2]), (394,159,[5_1|2]), (394,502,[5_1|2]), (394,515,[5_1|2]), (394,531,[5_1|2]), (394,548,[5_1|2]), (395,396,[1_1|2]), (396,397,[5_1|2]), (397,398,[3_1|2]), (398,399,[0_1|2]), (399,400,[2_1|2]), (400,401,[3_1|2]), (401,402,[4_1|2]), (402,403,[0_1|2]), (403,404,[3_1|2]), (404,405,[5_1|2]), (405,406,[1_1|2]), (406,407,[2_1|2]), (407,408,[2_1|2]), (408,409,[4_1|2]), (409,410,[0_1|2]), (409,158,[3_1|2]), (410,411,[0_1|2]), (411,412,[2_1|2]), (411,195,[2_1|2]), (411,201,[2_1|2]), (412,152,[2_1|2]), (412,168,[2_1|2]), (412,176,[2_1|2]), (412,355,[2_1|2]), (412,364,[2_1|2]), (412,474,[2_1|2]), (412,195,[2_1|2]), (412,201,[2_1|2]), (412,209,[4_1|2]), (412,218,[2_1|2]), (412,234,[2_1|2]), (413,414,[4_1|2]), (414,415,[2_1|2]), (415,416,[5_1|2]), (416,417,[1_1|2]), (417,418,[0_1|2]), (418,419,[0_1|2]), (419,420,[3_1|2]), (420,421,[0_1|2]), (421,422,[3_1|2]), (422,423,[5_1|2]), (423,424,[0_1|2]), (424,425,[0_1|2]), (425,426,[0_1|2]), (426,427,[4_1|2]), (427,428,[4_1|2]), (428,429,[4_1|2]), (429,430,[5_1|2]), (430,152,[4_1|2]), (430,158,[4_1|2]), (430,413,[4_1|2, 3_1|2]), (430,431,[4_1|2]), (430,442,[4_1|2]), (430,456,[4_1|2]), (430,485,[4_1|2]), (430,501,[4_1|2]), (430,355,[0_1|2]), (430,364,[0_1|2]), (430,382,[4_1|2]), (430,395,[1_1|2]), (431,432,[5_1|2]), (432,433,[4_1|2]), (433,434,[4_1|2]), (434,435,[1_1|2]), (435,436,[1_1|2]), (436,437,[3_1|2]), (437,438,[1_1|2]), (438,439,[4_1|2]), (439,440,[0_1|2]), (440,441,[3_1|2]), (441,152,[3_1|2]), (441,153,[3_1|2]), (441,195,[3_1|2]), (441,201,[3_1|2]), (441,218,[3_1|2]), (441,234,[3_1|2]), (441,251,[3_1|2]), (441,260,[3_1|2]), (441,154,[3_1|2]), (441,196,[3_1|2]), (441,431,[3_1|2]), (441,442,[3_1|2]), (441,456,[3_1|2]), (441,474,[0_1|2]), (441,485,[3_1|2]), (441,501,[3_1|2]), (442,443,[0_1|2]), (443,444,[0_1|2]), (444,445,[5_1|2]), (445,446,[0_1|2]), (446,447,[1_1|2]), (447,448,[0_1|2]), (448,449,[5_1|2]), (449,450,[5_1|2]), (450,451,[1_1|2]), (451,452,[4_1|2]), (452,453,[1_1|2]), (453,454,[2_1|2]), (454,455,[2_1|2]), (455,152,[5_1|2]), (455,515,[5_1|2]), (455,531,[5_1|2]), (455,548,[5_1|2]), (455,202,[5_1|2]), (455,212,[5_1|2]), (456,457,[4_1|2]), (457,458,[1_1|2]), (458,459,[4_1|2]), (459,460,[4_1|2]), (460,461,[5_1|2]), (461,462,[3_1|2]), (462,463,[5_1|2]), (463,464,[0_1|2]), (464,465,[1_1|2]), (465,466,[4_1|2]), (466,467,[4_1|2]), (467,468,[4_1|2]), (468,469,[3_1|2]), (469,470,[0_1|2]), (470,471,[4_1|2]), (471,472,[0_1|2]), (472,473,[0_1|2]), (472,153,[2_1|2]), (472,158,[3_1|2]), (473,152,[0_1|2]), (473,168,[0_1|2]), (473,176,[0_1|2]), (473,355,[0_1|2]), (473,364,[0_1|2]), (473,474,[0_1|2]), (473,153,[2_1|2]), (473,158,[3_1|2]), (474,475,[5_1|2]), (475,476,[3_1|2]), (476,477,[2_1|2]), (477,478,[2_1|2]), (478,479,[2_1|2]), (479,480,[5_1|2]), (480,481,[4_1|2]), (481,482,[0_1|2]), (482,483,[4_1|2]), (483,484,[1_1|2]), (483,260,[2_1|2]), (483,269,[1_1|2]), (483,280,[1_1|2]), (483,298,[1_1|2]), (484,152,[5_1|2]), (484,153,[5_1|2]), (484,195,[5_1|2]), (484,201,[5_1|2]), (484,218,[5_1|2]), (484,234,[5_1|2]), (484,251,[5_1|2]), (484,260,[5_1|2]), (484,154,[5_1|2]), (484,196,[5_1|2]), (484,515,[5_1|2]), (484,531,[5_1|2]), (484,548,[5_1|2]), (485,486,[5_1|2]), (486,487,[5_1|2]), (487,488,[0_1|2]), (488,489,[5_1|2]), (489,490,[2_1|2]), (490,491,[4_1|2]), (491,492,[2_1|2]), (492,493,[1_1|2]), (493,494,[1_1|2]), (494,495,[5_1|2]), (495,496,[2_1|2]), (496,497,[4_1|2]), (497,498,[5_1|2]), (498,499,[4_1|2]), (499,500,[1_1|2]), (499,260,[2_1|2]), (499,269,[1_1|2]), (499,280,[1_1|2]), (499,298,[1_1|2]), (500,152,[5_1|2]), (500,158,[5_1|2]), (500,413,[5_1|2]), (500,431,[5_1|2]), (500,442,[5_1|2]), (500,456,[5_1|2]), (500,485,[5_1|2]), (500,501,[5_1|2]), (500,515,[5_1|2]), (500,531,[5_1|2]), (500,548,[5_1|2]), (501,502,[2_1|2]), (502,503,[0_1|2]), (503,504,[0_1|2]), (504,505,[1_1|2]), (505,506,[1_1|2]), (506,507,[2_1|2]), (507,508,[3_1|2]), (508,509,[5_1|2]), (509,510,[1_1|2]), (510,511,[5_1|2]), (511,512,[3_1|2]), (512,513,[2_1|2]), (512,201,[2_1|2]), (513,514,[2_1|2]), (513,195,[2_1|2]), (513,201,[2_1|2]), (514,152,[2_1|2]), (514,158,[2_1|2]), (514,413,[2_1|2]), (514,431,[2_1|2]), (514,442,[2_1|2]), (514,456,[2_1|2]), (514,485,[2_1|2]), (514,501,[2_1|2]), (514,219,[2_1|2]), (514,195,[2_1|2]), (514,201,[2_1|2]), (514,209,[4_1|2]), (514,218,[2_1|2]), (514,234,[2_1|2]), (515,516,[3_1|2]), (516,517,[1_1|2]), (517,518,[5_1|2]), (518,519,[2_1|2]), (519,520,[0_1|2]), (520,521,[4_1|2]), (521,522,[0_1|2]), (522,523,[2_1|2]), (523,524,[1_1|2]), (524,525,[1_1|2]), (525,526,[2_1|2]), (526,527,[0_1|2]), (527,528,[0_1|2]), (528,529,[3_1|2]), (529,530,[2_1|2]), (530,152,[4_1|2]), (530,209,[4_1|2]), (530,382,[4_1|2]), (530,355,[0_1|2]), (530,364,[0_1|2]), (530,395,[1_1|2]), (530,413,[3_1|2]), (531,532,[3_1|2]), (532,533,[3_1|2]), (533,534,[0_1|2]), (534,535,[4_1|2]), (535,536,[3_1|2]), (536,537,[4_1|2]), (537,538,[4_1|2]), (538,539,[0_1|2]), (539,540,[2_1|2]), (540,541,[4_1|2]), (541,542,[2_1|2]), (542,543,[1_1|2]), (543,544,[5_1|2]), (544,545,[3_1|2]), (545,546,[5_1|2]), (546,547,[1_1|2]), (547,152,[4_1|2]), (547,158,[4_1|2]), (547,413,[4_1|2, 3_1|2]), (547,431,[4_1|2]), (547,442,[4_1|2]), (547,456,[4_1|2]), (547,485,[4_1|2]), (547,501,[4_1|2]), (547,355,[0_1|2]), (547,364,[0_1|2]), (547,382,[4_1|2]), (547,395,[1_1|2]), (548,549,[5_1|2]), (549,550,[0_1|2]), (550,551,[2_1|2]), (551,552,[3_1|2]), (552,553,[5_1|2]), (553,554,[5_1|2]), (554,555,[3_1|2]), (555,556,[3_1|2]), (556,557,[4_1|2]), (557,558,[3_1|2]), (558,559,[1_1|2]), (559,560,[3_1|2]), (560,561,[3_1|2]), (561,562,[3_1|2]), (562,563,[2_1|2]), (563,564,[0_1|2]), (564,565,[0_1|2]), (565,566,[0_1|2]), (566,567,[3_1|2]), (566,501,[3_1|2]), (567,152,[5_1|2]), (567,168,[5_1|2]), (567,176,[5_1|2]), (567,355,[5_1|2]), (567,364,[5_1|2]), (567,474,[5_1|2]), (567,443,[5_1|2]), (567,515,[5_1|2]), (567,531,[5_1|2]), (567,548,[5_1|2])}" ---------------------------------------- (8) BOUNDS(1, n^1)