WORST_CASE(?, O(n^1)) proof of /export/starexec/sandbox2/benchmark/theBenchmark.xml # AProVE Commit ID: 794c25de1cacf0d048858bcd21c9a779e1221865 marcel 20200619 unpublished dirty The Derivational Complexity (full) of the given DCpxTrs could be proven to be BOUNDS(1, n^1).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), 70 ms] (4) CpxRelTRS (5) RelTrsToTrsProof [UPPER BOUND(ID), 0 ms] (6) CpxTRS (7) CpxTrsMatchBoundsProof [FINISHED, 205 ms] (8) BOUNDS(1, n^1) ---------------------------------------- (0) Obligation: The Derivational Complexity (full) of the given DCpxTrs could be proven to be BOUNDS(1, n^1). The TRS R consists of the following rules: 0(0(1(1(x1)))) -> 2(3(4(2(4(5(5(2(4(4(x1)))))))))) 5(3(1(3(x1)))) -> 2(2(4(2(4(4(2(4(5(1(x1)))))))))) 0(0(0(1(5(x1))))) -> 1(3(4(2(1(3(3(4(5(5(x1)))))))))) 0(0(0(2(5(x1))))) -> 0(1(3(2(4(5(5(1(3(5(x1)))))))))) 1(4(0(2(3(x1))))) -> 1(3(3(2(3(4(4(2(1(4(x1)))))))))) 2(5(5(4(3(x1))))) -> 0(1(3(4(4(2(3(2(4(3(x1)))))))))) 4(5(2(5(0(x1))))) -> 2(4(4(2(2(3(4(5(2(0(x1)))))))))) 0(0(3(1(3(0(x1)))))) -> 2(1(2(1(3(3(2(2(2(0(x1)))))))))) 1(1(1(1(1(5(x1)))))) -> 2(2(3(2(4(3(3(1(1(5(x1)))))))))) 2(0(3(4(1(5(x1)))))) -> 2(3(4(2(3(1(2(1(4(5(x1)))))))))) 4(0(5(1(0(2(x1)))))) -> 1(0(2(3(2(2(4(5(2(2(x1)))))))))) 4(1(0(0(1(2(x1)))))) -> 4(0(1(4(2(2(4(3(5(2(x1)))))))))) 5(1(1(0(4(3(x1)))))) -> 5(2(1(4(4(4(2(1(4(2(x1)))))))))) 0(0(0(0(3(1(4(x1))))))) -> 0(1(2(1(1(5(5(5(2(2(x1)))))))))) 0(0(1(0(0(1(3(x1))))))) -> 2(0(3(3(4(4(0(3(5(1(x1)))))))))) 0(0(2(0(1(1(4(x1))))))) -> 5(2(2(0(4(4(4(4(4(1(x1)))))))))) 0(0(5(3(0(4(3(x1))))))) -> 2(0(3(5(2(2(2(3(1(3(x1)))))))))) 0(0(5(3(1(3(0(x1))))))) -> 5(5(2(3(5(4(2(2(2(0(x1)))))))))) 0(1(0(0(0(0(4(x1))))))) -> 2(4(5(1(4(1(5(5(4(2(x1)))))))))) 0(1(5(1(4(0(0(x1))))))) -> 2(2(2(4(0(2(4(3(5(0(x1)))))))))) 0(2(5(4(4(0(0(x1))))))) -> 2(3(4(2(1(4(5(4(0(0(x1)))))))))) 0(3(0(1(0(1(3(x1))))))) -> 0(4(1(2(4(5(3(0(3(3(x1)))))))))) 0(5(0(2(5(1(4(x1))))))) -> 0(2(2(4(4(0(4(2(1(4(x1)))))))))) 0(5(0(4(0(4(3(x1))))))) -> 0(5(3(5(2(1(2(1(4(3(x1)))))))))) 0(5(1(0(0(2(5(x1))))))) -> 2(1(4(2(1(2(1(0(4(5(x1)))))))))) 0(5(3(0(1(4(4(x1))))))) -> 2(1(2(4(2(5(5(1(2(4(x1)))))))))) 0(5(3(0(5(4(4(x1))))))) -> 1(1(1(2(2(2(4(3(1(1(x1)))))))))) 0(5(5(3(4(3(2(x1))))))) -> 2(3(3(3(0(2(4(3(3(2(x1)))))))))) 1(0(4(3(5(5(4(x1))))))) -> 2(2(2(1(4(5(3(5(5(4(x1)))))))))) 1(2(0(0(5(3(0(x1))))))) -> 2(2(0(3(1(2(0(3(3(0(x1)))))))))) 1(2(3(0(0(0(4(x1))))))) -> 2(1(2(3(1(4(3(2(5(4(x1)))))))))) 1(2(5(0(0(0(5(x1))))))) -> 1(0(5(5(0(3(0(5(2(5(x1)))))))))) 1(4(0(5(5(3(0(x1))))))) -> 1(2(4(3(0(1(0(4(2(0(x1)))))))))) 2(0(3(1(0(0(4(x1))))))) -> 2(0(4(1(1(5(3(3(3(2(x1)))))))))) 2(0(5(2(5(4(5(x1))))))) -> 5(1(2(2(0(4(2(2(4(5(x1)))))))))) 2(1(0(0(0(0(4(x1))))))) -> 2(1(4(5(5(2(2(1(2(2(x1)))))))))) 2(3(0(0(0(1(2(x1))))))) -> 2(0(4(0(4(4(3(4(5(2(x1)))))))))) 3(0(0(0(4(5(4(x1))))))) -> 3(4(4(2(1(3(0(0(3(2(x1)))))))))) 3(0(0(5(4(3(3(x1))))))) -> 4(2(5(2(2(4(3(5(2(1(x1)))))))))) 3(0(3(4(0(1(4(x1))))))) -> 4(2(4(2(4(3(0(1(5(2(x1)))))))))) 3(2(5(5(0(0(0(x1))))))) -> 4(3(1(1(2(4(5(3(5(0(x1)))))))))) 3(3(4(3(4(1(5(x1))))))) -> 4(4(3(4(4(2(1(1(4(5(x1)))))))))) 4(3(4(0(5(4(3(x1))))))) -> 4(3(4(1(4(3(4(2(1(4(x1)))))))))) 5(0(0(0(5(5(1(x1))))))) -> 5(2(3(2(2(5(3(3(2(0(x1)))))))))) 5(0(0(1(1(4(4(x1))))))) -> 5(5(0(3(0(3(3(3(2(4(x1)))))))))) 5(0(0(5(5(1(2(x1))))))) -> 5(5(5(5(1(4(1(5(2(2(x1)))))))))) 5(0(1(2(5(1(4(x1))))))) -> 5(0(5(5(5(1(3(2(4(4(x1)))))))))) 5(1(0(2(5(1(4(x1))))))) -> 5(0(1(2(4(2(4(5(5(1(x1)))))))))) 5(1(1(0(1(4(5(x1))))))) -> 5(2(1(0(4(1(2(4(3(0(x1)))))))))) 5(1(2(5(1(4(1(x1))))))) -> 5(5(2(4(5(0(2(2(4(3(x1)))))))))) 5(2(5(3(1(4(4(x1))))))) -> 5(2(4(3(1(2(1(2(1(4(x1)))))))))) 5(3(2(5(0(0(1(x1))))))) -> 3(4(2(1(4(3(4(5(5(3(x1)))))))))) 5(3(4(5(0(1(4(x1))))))) -> 2(3(2(1(4(5(0(2(4(2(x1)))))))))) 5(4(5(0(0(5(4(x1))))))) -> 5(5(1(3(5(1(0(4(0(2(x1)))))))))) S is empty. Rewrite Strategy: FULL ---------------------------------------- (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_5(x_1)) -> 5(encArg(x_1)) encArg(cons_1(x_1)) -> 1(encArg(x_1)) encArg(cons_2(x_1)) -> 2(encArg(x_1)) encArg(cons_4(x_1)) -> 4(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 (full) of the given CpxRelTRS could be proven to be BOUNDS(1, n^1). The TRS R consists of the following rules: 0(0(1(1(x1)))) -> 2(3(4(2(4(5(5(2(4(4(x1)))))))))) 5(3(1(3(x1)))) -> 2(2(4(2(4(4(2(4(5(1(x1)))))))))) 0(0(0(1(5(x1))))) -> 1(3(4(2(1(3(3(4(5(5(x1)))))))))) 0(0(0(2(5(x1))))) -> 0(1(3(2(4(5(5(1(3(5(x1)))))))))) 1(4(0(2(3(x1))))) -> 1(3(3(2(3(4(4(2(1(4(x1)))))))))) 2(5(5(4(3(x1))))) -> 0(1(3(4(4(2(3(2(4(3(x1)))))))))) 4(5(2(5(0(x1))))) -> 2(4(4(2(2(3(4(5(2(0(x1)))))))))) 0(0(3(1(3(0(x1)))))) -> 2(1(2(1(3(3(2(2(2(0(x1)))))))))) 1(1(1(1(1(5(x1)))))) -> 2(2(3(2(4(3(3(1(1(5(x1)))))))))) 2(0(3(4(1(5(x1)))))) -> 2(3(4(2(3(1(2(1(4(5(x1)))))))))) 4(0(5(1(0(2(x1)))))) -> 1(0(2(3(2(2(4(5(2(2(x1)))))))))) 4(1(0(0(1(2(x1)))))) -> 4(0(1(4(2(2(4(3(5(2(x1)))))))))) 5(1(1(0(4(3(x1)))))) -> 5(2(1(4(4(4(2(1(4(2(x1)))))))))) 0(0(0(0(3(1(4(x1))))))) -> 0(1(2(1(1(5(5(5(2(2(x1)))))))))) 0(0(1(0(0(1(3(x1))))))) -> 2(0(3(3(4(4(0(3(5(1(x1)))))))))) 0(0(2(0(1(1(4(x1))))))) -> 5(2(2(0(4(4(4(4(4(1(x1)))))))))) 0(0(5(3(0(4(3(x1))))))) -> 2(0(3(5(2(2(2(3(1(3(x1)))))))))) 0(0(5(3(1(3(0(x1))))))) -> 5(5(2(3(5(4(2(2(2(0(x1)))))))))) 0(1(0(0(0(0(4(x1))))))) -> 2(4(5(1(4(1(5(5(4(2(x1)))))))))) 0(1(5(1(4(0(0(x1))))))) -> 2(2(2(4(0(2(4(3(5(0(x1)))))))))) 0(2(5(4(4(0(0(x1))))))) -> 2(3(4(2(1(4(5(4(0(0(x1)))))))))) 0(3(0(1(0(1(3(x1))))))) -> 0(4(1(2(4(5(3(0(3(3(x1)))))))))) 0(5(0(2(5(1(4(x1))))))) -> 0(2(2(4(4(0(4(2(1(4(x1)))))))))) 0(5(0(4(0(4(3(x1))))))) -> 0(5(3(5(2(1(2(1(4(3(x1)))))))))) 0(5(1(0(0(2(5(x1))))))) -> 2(1(4(2(1(2(1(0(4(5(x1)))))))))) 0(5(3(0(1(4(4(x1))))))) -> 2(1(2(4(2(5(5(1(2(4(x1)))))))))) 0(5(3(0(5(4(4(x1))))))) -> 1(1(1(2(2(2(4(3(1(1(x1)))))))))) 0(5(5(3(4(3(2(x1))))))) -> 2(3(3(3(0(2(4(3(3(2(x1)))))))))) 1(0(4(3(5(5(4(x1))))))) -> 2(2(2(1(4(5(3(5(5(4(x1)))))))))) 1(2(0(0(5(3(0(x1))))))) -> 2(2(0(3(1(2(0(3(3(0(x1)))))))))) 1(2(3(0(0(0(4(x1))))))) -> 2(1(2(3(1(4(3(2(5(4(x1)))))))))) 1(2(5(0(0(0(5(x1))))))) -> 1(0(5(5(0(3(0(5(2(5(x1)))))))))) 1(4(0(5(5(3(0(x1))))))) -> 1(2(4(3(0(1(0(4(2(0(x1)))))))))) 2(0(3(1(0(0(4(x1))))))) -> 2(0(4(1(1(5(3(3(3(2(x1)))))))))) 2(0(5(2(5(4(5(x1))))))) -> 5(1(2(2(0(4(2(2(4(5(x1)))))))))) 2(1(0(0(0(0(4(x1))))))) -> 2(1(4(5(5(2(2(1(2(2(x1)))))))))) 2(3(0(0(0(1(2(x1))))))) -> 2(0(4(0(4(4(3(4(5(2(x1)))))))))) 3(0(0(0(4(5(4(x1))))))) -> 3(4(4(2(1(3(0(0(3(2(x1)))))))))) 3(0(0(5(4(3(3(x1))))))) -> 4(2(5(2(2(4(3(5(2(1(x1)))))))))) 3(0(3(4(0(1(4(x1))))))) -> 4(2(4(2(4(3(0(1(5(2(x1)))))))))) 3(2(5(5(0(0(0(x1))))))) -> 4(3(1(1(2(4(5(3(5(0(x1)))))))))) 3(3(4(3(4(1(5(x1))))))) -> 4(4(3(4(4(2(1(1(4(5(x1)))))))))) 4(3(4(0(5(4(3(x1))))))) -> 4(3(4(1(4(3(4(2(1(4(x1)))))))))) 5(0(0(0(5(5(1(x1))))))) -> 5(2(3(2(2(5(3(3(2(0(x1)))))))))) 5(0(0(1(1(4(4(x1))))))) -> 5(5(0(3(0(3(3(3(2(4(x1)))))))))) 5(0(0(5(5(1(2(x1))))))) -> 5(5(5(5(1(4(1(5(2(2(x1)))))))))) 5(0(1(2(5(1(4(x1))))))) -> 5(0(5(5(5(1(3(2(4(4(x1)))))))))) 5(1(0(2(5(1(4(x1))))))) -> 5(0(1(2(4(2(4(5(5(1(x1)))))))))) 5(1(1(0(1(4(5(x1))))))) -> 5(2(1(0(4(1(2(4(3(0(x1)))))))))) 5(1(2(5(1(4(1(x1))))))) -> 5(5(2(4(5(0(2(2(4(3(x1)))))))))) 5(2(5(3(1(4(4(x1))))))) -> 5(2(4(3(1(2(1(2(1(4(x1)))))))))) 5(3(2(5(0(0(1(x1))))))) -> 3(4(2(1(4(3(4(5(5(3(x1)))))))))) 5(3(4(5(0(1(4(x1))))))) -> 2(3(2(1(4(5(0(2(4(2(x1)))))))))) 5(4(5(0(0(5(4(x1))))))) -> 5(5(1(3(5(1(0(4(0(2(x1)))))))))) The (relative) TRS S consists of the following rules: encArg(cons_0(x_1)) -> 0(encArg(x_1)) encArg(cons_5(x_1)) -> 5(encArg(x_1)) encArg(cons_1(x_1)) -> 1(encArg(x_1)) encArg(cons_2(x_1)) -> 2(encArg(x_1)) encArg(cons_4(x_1)) -> 4(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: FULL ---------------------------------------- (3) SInnermostTerminationProof (BOTH CONCRETE BOUNDS(ID, ID)) proved innermost termination of relative rules ---------------------------------------- (4) Obligation: The Runtime Complexity (full) of the given CpxRelTRS could be proven to be BOUNDS(1, n^1). The TRS R consists of the following rules: 0(0(1(1(x1)))) -> 2(3(4(2(4(5(5(2(4(4(x1)))))))))) 5(3(1(3(x1)))) -> 2(2(4(2(4(4(2(4(5(1(x1)))))))))) 0(0(0(1(5(x1))))) -> 1(3(4(2(1(3(3(4(5(5(x1)))))))))) 0(0(0(2(5(x1))))) -> 0(1(3(2(4(5(5(1(3(5(x1)))))))))) 1(4(0(2(3(x1))))) -> 1(3(3(2(3(4(4(2(1(4(x1)))))))))) 2(5(5(4(3(x1))))) -> 0(1(3(4(4(2(3(2(4(3(x1)))))))))) 4(5(2(5(0(x1))))) -> 2(4(4(2(2(3(4(5(2(0(x1)))))))))) 0(0(3(1(3(0(x1)))))) -> 2(1(2(1(3(3(2(2(2(0(x1)))))))))) 1(1(1(1(1(5(x1)))))) -> 2(2(3(2(4(3(3(1(1(5(x1)))))))))) 2(0(3(4(1(5(x1)))))) -> 2(3(4(2(3(1(2(1(4(5(x1)))))))))) 4(0(5(1(0(2(x1)))))) -> 1(0(2(3(2(2(4(5(2(2(x1)))))))))) 4(1(0(0(1(2(x1)))))) -> 4(0(1(4(2(2(4(3(5(2(x1)))))))))) 5(1(1(0(4(3(x1)))))) -> 5(2(1(4(4(4(2(1(4(2(x1)))))))))) 0(0(0(0(3(1(4(x1))))))) -> 0(1(2(1(1(5(5(5(2(2(x1)))))))))) 0(0(1(0(0(1(3(x1))))))) -> 2(0(3(3(4(4(0(3(5(1(x1)))))))))) 0(0(2(0(1(1(4(x1))))))) -> 5(2(2(0(4(4(4(4(4(1(x1)))))))))) 0(0(5(3(0(4(3(x1))))))) -> 2(0(3(5(2(2(2(3(1(3(x1)))))))))) 0(0(5(3(1(3(0(x1))))))) -> 5(5(2(3(5(4(2(2(2(0(x1)))))))))) 0(1(0(0(0(0(4(x1))))))) -> 2(4(5(1(4(1(5(5(4(2(x1)))))))))) 0(1(5(1(4(0(0(x1))))))) -> 2(2(2(4(0(2(4(3(5(0(x1)))))))))) 0(2(5(4(4(0(0(x1))))))) -> 2(3(4(2(1(4(5(4(0(0(x1)))))))))) 0(3(0(1(0(1(3(x1))))))) -> 0(4(1(2(4(5(3(0(3(3(x1)))))))))) 0(5(0(2(5(1(4(x1))))))) -> 0(2(2(4(4(0(4(2(1(4(x1)))))))))) 0(5(0(4(0(4(3(x1))))))) -> 0(5(3(5(2(1(2(1(4(3(x1)))))))))) 0(5(1(0(0(2(5(x1))))))) -> 2(1(4(2(1(2(1(0(4(5(x1)))))))))) 0(5(3(0(1(4(4(x1))))))) -> 2(1(2(4(2(5(5(1(2(4(x1)))))))))) 0(5(3(0(5(4(4(x1))))))) -> 1(1(1(2(2(2(4(3(1(1(x1)))))))))) 0(5(5(3(4(3(2(x1))))))) -> 2(3(3(3(0(2(4(3(3(2(x1)))))))))) 1(0(4(3(5(5(4(x1))))))) -> 2(2(2(1(4(5(3(5(5(4(x1)))))))))) 1(2(0(0(5(3(0(x1))))))) -> 2(2(0(3(1(2(0(3(3(0(x1)))))))))) 1(2(3(0(0(0(4(x1))))))) -> 2(1(2(3(1(4(3(2(5(4(x1)))))))))) 1(2(5(0(0(0(5(x1))))))) -> 1(0(5(5(0(3(0(5(2(5(x1)))))))))) 1(4(0(5(5(3(0(x1))))))) -> 1(2(4(3(0(1(0(4(2(0(x1)))))))))) 2(0(3(1(0(0(4(x1))))))) -> 2(0(4(1(1(5(3(3(3(2(x1)))))))))) 2(0(5(2(5(4(5(x1))))))) -> 5(1(2(2(0(4(2(2(4(5(x1)))))))))) 2(1(0(0(0(0(4(x1))))))) -> 2(1(4(5(5(2(2(1(2(2(x1)))))))))) 2(3(0(0(0(1(2(x1))))))) -> 2(0(4(0(4(4(3(4(5(2(x1)))))))))) 3(0(0(0(4(5(4(x1))))))) -> 3(4(4(2(1(3(0(0(3(2(x1)))))))))) 3(0(0(5(4(3(3(x1))))))) -> 4(2(5(2(2(4(3(5(2(1(x1)))))))))) 3(0(3(4(0(1(4(x1))))))) -> 4(2(4(2(4(3(0(1(5(2(x1)))))))))) 3(2(5(5(0(0(0(x1))))))) -> 4(3(1(1(2(4(5(3(5(0(x1)))))))))) 3(3(4(3(4(1(5(x1))))))) -> 4(4(3(4(4(2(1(1(4(5(x1)))))))))) 4(3(4(0(5(4(3(x1))))))) -> 4(3(4(1(4(3(4(2(1(4(x1)))))))))) 5(0(0(0(5(5(1(x1))))))) -> 5(2(3(2(2(5(3(3(2(0(x1)))))))))) 5(0(0(1(1(4(4(x1))))))) -> 5(5(0(3(0(3(3(3(2(4(x1)))))))))) 5(0(0(5(5(1(2(x1))))))) -> 5(5(5(5(1(4(1(5(2(2(x1)))))))))) 5(0(1(2(5(1(4(x1))))))) -> 5(0(5(5(5(1(3(2(4(4(x1)))))))))) 5(1(0(2(5(1(4(x1))))))) -> 5(0(1(2(4(2(4(5(5(1(x1)))))))))) 5(1(1(0(1(4(5(x1))))))) -> 5(2(1(0(4(1(2(4(3(0(x1)))))))))) 5(1(2(5(1(4(1(x1))))))) -> 5(5(2(4(5(0(2(2(4(3(x1)))))))))) 5(2(5(3(1(4(4(x1))))))) -> 5(2(4(3(1(2(1(2(1(4(x1)))))))))) 5(3(2(5(0(0(1(x1))))))) -> 3(4(2(1(4(3(4(5(5(3(x1)))))))))) 5(3(4(5(0(1(4(x1))))))) -> 2(3(2(1(4(5(0(2(4(2(x1)))))))))) 5(4(5(0(0(5(4(x1))))))) -> 5(5(1(3(5(1(0(4(0(2(x1)))))))))) The (relative) TRS S consists of the following rules: encArg(cons_0(x_1)) -> 0(encArg(x_1)) encArg(cons_5(x_1)) -> 5(encArg(x_1)) encArg(cons_1(x_1)) -> 1(encArg(x_1)) encArg(cons_2(x_1)) -> 2(encArg(x_1)) encArg(cons_4(x_1)) -> 4(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: FULL ---------------------------------------- (5) RelTrsToTrsProof (UPPER BOUND(ID)) transformed relative TRS to TRS ---------------------------------------- (6) Obligation: The Runtime Complexity (full) of the given CpxTRS could be proven to be BOUNDS(1, n^1). The TRS R consists of the following rules: 0(0(1(1(x1)))) -> 2(3(4(2(4(5(5(2(4(4(x1)))))))))) 5(3(1(3(x1)))) -> 2(2(4(2(4(4(2(4(5(1(x1)))))))))) 0(0(0(1(5(x1))))) -> 1(3(4(2(1(3(3(4(5(5(x1)))))))))) 0(0(0(2(5(x1))))) -> 0(1(3(2(4(5(5(1(3(5(x1)))))))))) 1(4(0(2(3(x1))))) -> 1(3(3(2(3(4(4(2(1(4(x1)))))))))) 2(5(5(4(3(x1))))) -> 0(1(3(4(4(2(3(2(4(3(x1)))))))))) 4(5(2(5(0(x1))))) -> 2(4(4(2(2(3(4(5(2(0(x1)))))))))) 0(0(3(1(3(0(x1)))))) -> 2(1(2(1(3(3(2(2(2(0(x1)))))))))) 1(1(1(1(1(5(x1)))))) -> 2(2(3(2(4(3(3(1(1(5(x1)))))))))) 2(0(3(4(1(5(x1)))))) -> 2(3(4(2(3(1(2(1(4(5(x1)))))))))) 4(0(5(1(0(2(x1)))))) -> 1(0(2(3(2(2(4(5(2(2(x1)))))))))) 4(1(0(0(1(2(x1)))))) -> 4(0(1(4(2(2(4(3(5(2(x1)))))))))) 5(1(1(0(4(3(x1)))))) -> 5(2(1(4(4(4(2(1(4(2(x1)))))))))) 0(0(0(0(3(1(4(x1))))))) -> 0(1(2(1(1(5(5(5(2(2(x1)))))))))) 0(0(1(0(0(1(3(x1))))))) -> 2(0(3(3(4(4(0(3(5(1(x1)))))))))) 0(0(2(0(1(1(4(x1))))))) -> 5(2(2(0(4(4(4(4(4(1(x1)))))))))) 0(0(5(3(0(4(3(x1))))))) -> 2(0(3(5(2(2(2(3(1(3(x1)))))))))) 0(0(5(3(1(3(0(x1))))))) -> 5(5(2(3(5(4(2(2(2(0(x1)))))))))) 0(1(0(0(0(0(4(x1))))))) -> 2(4(5(1(4(1(5(5(4(2(x1)))))))))) 0(1(5(1(4(0(0(x1))))))) -> 2(2(2(4(0(2(4(3(5(0(x1)))))))))) 0(2(5(4(4(0(0(x1))))))) -> 2(3(4(2(1(4(5(4(0(0(x1)))))))))) 0(3(0(1(0(1(3(x1))))))) -> 0(4(1(2(4(5(3(0(3(3(x1)))))))))) 0(5(0(2(5(1(4(x1))))))) -> 0(2(2(4(4(0(4(2(1(4(x1)))))))))) 0(5(0(4(0(4(3(x1))))))) -> 0(5(3(5(2(1(2(1(4(3(x1)))))))))) 0(5(1(0(0(2(5(x1))))))) -> 2(1(4(2(1(2(1(0(4(5(x1)))))))))) 0(5(3(0(1(4(4(x1))))))) -> 2(1(2(4(2(5(5(1(2(4(x1)))))))))) 0(5(3(0(5(4(4(x1))))))) -> 1(1(1(2(2(2(4(3(1(1(x1)))))))))) 0(5(5(3(4(3(2(x1))))))) -> 2(3(3(3(0(2(4(3(3(2(x1)))))))))) 1(0(4(3(5(5(4(x1))))))) -> 2(2(2(1(4(5(3(5(5(4(x1)))))))))) 1(2(0(0(5(3(0(x1))))))) -> 2(2(0(3(1(2(0(3(3(0(x1)))))))))) 1(2(3(0(0(0(4(x1))))))) -> 2(1(2(3(1(4(3(2(5(4(x1)))))))))) 1(2(5(0(0(0(5(x1))))))) -> 1(0(5(5(0(3(0(5(2(5(x1)))))))))) 1(4(0(5(5(3(0(x1))))))) -> 1(2(4(3(0(1(0(4(2(0(x1)))))))))) 2(0(3(1(0(0(4(x1))))))) -> 2(0(4(1(1(5(3(3(3(2(x1)))))))))) 2(0(5(2(5(4(5(x1))))))) -> 5(1(2(2(0(4(2(2(4(5(x1)))))))))) 2(1(0(0(0(0(4(x1))))))) -> 2(1(4(5(5(2(2(1(2(2(x1)))))))))) 2(3(0(0(0(1(2(x1))))))) -> 2(0(4(0(4(4(3(4(5(2(x1)))))))))) 3(0(0(0(4(5(4(x1))))))) -> 3(4(4(2(1(3(0(0(3(2(x1)))))))))) 3(0(0(5(4(3(3(x1))))))) -> 4(2(5(2(2(4(3(5(2(1(x1)))))))))) 3(0(3(4(0(1(4(x1))))))) -> 4(2(4(2(4(3(0(1(5(2(x1)))))))))) 3(2(5(5(0(0(0(x1))))))) -> 4(3(1(1(2(4(5(3(5(0(x1)))))))))) 3(3(4(3(4(1(5(x1))))))) -> 4(4(3(4(4(2(1(1(4(5(x1)))))))))) 4(3(4(0(5(4(3(x1))))))) -> 4(3(4(1(4(3(4(2(1(4(x1)))))))))) 5(0(0(0(5(5(1(x1))))))) -> 5(2(3(2(2(5(3(3(2(0(x1)))))))))) 5(0(0(1(1(4(4(x1))))))) -> 5(5(0(3(0(3(3(3(2(4(x1)))))))))) 5(0(0(5(5(1(2(x1))))))) -> 5(5(5(5(1(4(1(5(2(2(x1)))))))))) 5(0(1(2(5(1(4(x1))))))) -> 5(0(5(5(5(1(3(2(4(4(x1)))))))))) 5(1(0(2(5(1(4(x1))))))) -> 5(0(1(2(4(2(4(5(5(1(x1)))))))))) 5(1(1(0(1(4(5(x1))))))) -> 5(2(1(0(4(1(2(4(3(0(x1)))))))))) 5(1(2(5(1(4(1(x1))))))) -> 5(5(2(4(5(0(2(2(4(3(x1)))))))))) 5(2(5(3(1(4(4(x1))))))) -> 5(2(4(3(1(2(1(2(1(4(x1)))))))))) 5(3(2(5(0(0(1(x1))))))) -> 3(4(2(1(4(3(4(5(5(3(x1)))))))))) 5(3(4(5(0(1(4(x1))))))) -> 2(3(2(1(4(5(0(2(4(2(x1)))))))))) 5(4(5(0(0(5(4(x1))))))) -> 5(5(1(3(5(1(0(4(0(2(x1)))))))))) encArg(cons_0(x_1)) -> 0(encArg(x_1)) encArg(cons_5(x_1)) -> 5(encArg(x_1)) encArg(cons_1(x_1)) -> 1(encArg(x_1)) encArg(cons_2(x_1)) -> 2(encArg(x_1)) encArg(cons_4(x_1)) -> 4(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: FULL ---------------------------------------- (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. "[85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 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] {(85,86,[0_1|0, 5_1|0, 1_1|0, 2_1|0, 4_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]), (85,87,[0_1|1, 5_1|1, 1_1|1, 2_1|1, 4_1|1, 3_1|1]), (85,88,[2_1|2]), (85,97,[2_1|2]), (85,106,[1_1|2]), (85,115,[0_1|2]), (85,124,[0_1|2]), (85,133,[2_1|2]), (85,142,[5_1|2]), (85,151,[2_1|2]), (85,160,[5_1|2]), (85,169,[2_1|2]), (85,178,[2_1|2]), (85,187,[2_1|2]), (85,196,[0_1|2]), (85,205,[0_1|2]), (85,214,[0_1|2]), (85,223,[2_1|2]), (85,232,[2_1|2]), (85,241,[1_1|2]), (85,250,[2_1|2]), (85,259,[2_1|2]), (85,268,[3_1|2]), (85,277,[2_1|2]), (85,286,[5_1|2]), (85,295,[5_1|2]), (85,304,[5_1|2]), (85,313,[5_1|2]), (85,322,[5_1|2]), (85,331,[5_1|2]), (85,340,[5_1|2]), (85,349,[5_1|2]), (85,358,[5_1|2]), (85,367,[5_1|2]), (85,376,[1_1|2]), (85,385,[1_1|2]), (85,394,[2_1|2]), (85,403,[2_1|2]), (85,412,[2_1|2]), (85,421,[2_1|2]), (85,430,[1_1|2]), (85,439,[0_1|2]), (85,448,[2_1|2]), (85,457,[2_1|2]), (85,466,[5_1|2]), (85,475,[2_1|2]), (85,484,[2_1|2]), (85,493,[2_1|2]), (85,502,[1_1|2]), (85,511,[4_1|2]), (85,520,[4_1|2]), (85,529,[3_1|2]), (85,538,[4_1|2]), (85,547,[4_1|2]), (85,556,[4_1|2]), (85,565,[4_1|2]), (86,86,[cons_0_1|0, cons_5_1|0, cons_1_1|0, cons_2_1|0, cons_4_1|0, cons_3_1|0]), (87,86,[encArg_1|1]), (87,87,[0_1|1, 5_1|1, 1_1|1, 2_1|1, 4_1|1, 3_1|1]), (87,88,[2_1|2]), (87,97,[2_1|2]), (87,106,[1_1|2]), (87,115,[0_1|2]), (87,124,[0_1|2]), (87,133,[2_1|2]), (87,142,[5_1|2]), (87,151,[2_1|2]), (87,160,[5_1|2]), (87,169,[2_1|2]), (87,178,[2_1|2]), (87,187,[2_1|2]), (87,196,[0_1|2]), (87,205,[0_1|2]), (87,214,[0_1|2]), (87,223,[2_1|2]), (87,232,[2_1|2]), (87,241,[1_1|2]), (87,250,[2_1|2]), (87,259,[2_1|2]), (87,268,[3_1|2]), (87,277,[2_1|2]), (87,286,[5_1|2]), (87,295,[5_1|2]), (87,304,[5_1|2]), (87,313,[5_1|2]), (87,322,[5_1|2]), (87,331,[5_1|2]), (87,340,[5_1|2]), (87,349,[5_1|2]), (87,358,[5_1|2]), (87,367,[5_1|2]), (87,376,[1_1|2]), (87,385,[1_1|2]), (87,394,[2_1|2]), (87,403,[2_1|2]), (87,412,[2_1|2]), (87,421,[2_1|2]), (87,430,[1_1|2]), (87,439,[0_1|2]), (87,448,[2_1|2]), (87,457,[2_1|2]), (87,466,[5_1|2]), (87,475,[2_1|2]), (87,484,[2_1|2]), (87,493,[2_1|2]), (87,502,[1_1|2]), (87,511,[4_1|2]), (87,520,[4_1|2]), (87,529,[3_1|2]), (87,538,[4_1|2]), (87,547,[4_1|2]), (87,556,[4_1|2]), (87,565,[4_1|2]), (88,89,[3_1|2]), (89,90,[4_1|2]), (90,91,[2_1|2]), (91,92,[4_1|2]), (92,93,[5_1|2]), (93,94,[5_1|2]), (94,95,[2_1|2]), (95,96,[4_1|2]), (96,87,[4_1|2]), (96,106,[4_1|2]), (96,241,[4_1|2]), (96,376,[4_1|2]), (96,385,[4_1|2]), (96,430,[4_1|2]), (96,502,[4_1|2, 1_1|2]), (96,242,[4_1|2]), (96,493,[2_1|2]), (96,511,[4_1|2]), (96,520,[4_1|2]), (97,98,[0_1|2]), (98,99,[3_1|2]), (99,100,[3_1|2]), (100,101,[4_1|2]), (101,102,[4_1|2]), (102,103,[0_1|2]), (103,104,[3_1|2]), (104,105,[5_1|2]), (104,286,[5_1|2]), (104,295,[5_1|2]), (104,304,[5_1|2]), (104,313,[5_1|2]), (105,87,[1_1|2]), (105,268,[1_1|2]), (105,529,[1_1|2]), (105,107,[1_1|2]), (105,377,[1_1|2]), (105,117,[1_1|2]), (105,441,[1_1|2]), (105,376,[1_1|2]), (105,385,[1_1|2]), (105,394,[2_1|2]), (105,403,[2_1|2]), (105,412,[2_1|2]), (105,421,[2_1|2]), (105,430,[1_1|2]), (106,107,[3_1|2]), (107,108,[4_1|2]), (108,109,[2_1|2]), (109,110,[1_1|2]), (110,111,[3_1|2]), (111,112,[3_1|2]), (112,113,[4_1|2]), (113,114,[5_1|2]), (114,87,[5_1|2]), (114,142,[5_1|2]), (114,160,[5_1|2]), (114,286,[5_1|2]), (114,295,[5_1|2]), (114,304,[5_1|2]), (114,313,[5_1|2]), (114,322,[5_1|2]), (114,331,[5_1|2]), (114,340,[5_1|2]), (114,349,[5_1|2]), (114,358,[5_1|2]), (114,367,[5_1|2]), (114,466,[5_1|2]), (114,259,[2_1|2]), (114,268,[3_1|2]), (114,277,[2_1|2]), (115,116,[1_1|2]), (116,117,[3_1|2]), (117,118,[2_1|2]), (118,119,[4_1|2]), (119,120,[5_1|2]), (120,121,[5_1|2]), (121,122,[1_1|2]), (122,123,[3_1|2]), (123,87,[5_1|2]), (123,142,[5_1|2]), (123,160,[5_1|2]), (123,286,[5_1|2]), (123,295,[5_1|2]), (123,304,[5_1|2]), (123,313,[5_1|2]), (123,322,[5_1|2]), (123,331,[5_1|2]), (123,340,[5_1|2]), (123,349,[5_1|2]), (123,358,[5_1|2]), (123,367,[5_1|2]), (123,466,[5_1|2]), (123,259,[2_1|2]), (123,268,[3_1|2]), (123,277,[2_1|2]), (124,125,[1_1|2]), (125,126,[2_1|2]), (126,127,[1_1|2]), (127,128,[1_1|2]), (128,129,[5_1|2]), (129,130,[5_1|2]), (130,131,[5_1|2]), (131,132,[2_1|2]), (132,87,[2_1|2]), (132,511,[2_1|2]), (132,520,[2_1|2]), (132,538,[2_1|2]), (132,547,[2_1|2]), (132,556,[2_1|2]), (132,565,[2_1|2]), (132,439,[0_1|2]), (132,448,[2_1|2]), (132,457,[2_1|2]), (132,466,[5_1|2]), (132,475,[2_1|2]), (132,484,[2_1|2]), (133,134,[1_1|2]), (134,135,[2_1|2]), (135,136,[1_1|2]), (136,137,[3_1|2]), (137,138,[3_1|2]), (138,139,[2_1|2]), (139,140,[2_1|2]), (140,141,[2_1|2]), (140,448,[2_1|2]), (140,457,[2_1|2]), (140,466,[5_1|2]), (141,87,[0_1|2]), (141,115,[0_1|2]), (141,124,[0_1|2]), (141,196,[0_1|2]), (141,205,[0_1|2]), (141,214,[0_1|2]), (141,439,[0_1|2]), (141,88,[2_1|2]), (141,97,[2_1|2]), (141,106,[1_1|2]), (141,133,[2_1|2]), (141,142,[5_1|2]), (141,151,[2_1|2]), (141,160,[5_1|2]), (141,169,[2_1|2]), (141,178,[2_1|2]), (141,187,[2_1|2]), (141,223,[2_1|2]), (141,232,[2_1|2]), (141,241,[1_1|2]), (141,250,[2_1|2]), (142,143,[2_1|2]), (143,144,[2_1|2]), (144,145,[0_1|2]), (145,146,[4_1|2]), (146,147,[4_1|2]), (147,148,[4_1|2]), (148,149,[4_1|2]), (149,150,[4_1|2]), (149,511,[4_1|2]), (150,87,[1_1|2]), (150,511,[1_1|2]), (150,520,[1_1|2]), (150,538,[1_1|2]), (150,547,[1_1|2]), (150,556,[1_1|2]), (150,565,[1_1|2]), 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(411,547,[4_1|2]), (411,556,[4_1|2]), (411,565,[4_1|2]), (411,493,[2_1|2]), (411,502,[1_1|2]), (412,413,[2_1|2]), (413,414,[0_1|2]), (414,415,[3_1|2]), (415,416,[1_1|2]), (416,417,[2_1|2]), (417,418,[0_1|2]), (418,419,[3_1|2]), (419,420,[3_1|2]), (419,529,[3_1|2]), (419,538,[4_1|2]), (419,547,[4_1|2]), (420,87,[0_1|2]), (420,115,[0_1|2]), (420,124,[0_1|2]), (420,196,[0_1|2]), (420,205,[0_1|2]), (420,214,[0_1|2]), (420,439,[0_1|2]), (420,88,[2_1|2]), (420,97,[2_1|2]), (420,106,[1_1|2]), (420,133,[2_1|2]), (420,142,[5_1|2]), (420,151,[2_1|2]), (420,160,[5_1|2]), (420,169,[2_1|2]), (420,178,[2_1|2]), (420,187,[2_1|2]), (420,223,[2_1|2]), (420,232,[2_1|2]), (420,241,[1_1|2]), (420,250,[2_1|2]), (421,422,[1_1|2]), (422,423,[2_1|2]), (423,424,[3_1|2]), (424,425,[1_1|2]), (425,426,[4_1|2]), (426,427,[3_1|2]), (427,428,[2_1|2]), (428,429,[5_1|2]), (428,367,[5_1|2]), (429,87,[4_1|2]), (429,511,[4_1|2]), (429,520,[4_1|2]), (429,538,[4_1|2]), (429,547,[4_1|2]), (429,556,[4_1|2]), (429,565,[4_1|2]), (429,197,[4_1|2]), (429,493,[2_1|2]), (429,502,[1_1|2]), (430,431,[0_1|2]), (431,432,[5_1|2]), (432,433,[5_1|2]), (433,434,[0_1|2]), (434,435,[3_1|2]), (435,436,[0_1|2]), (436,437,[5_1|2]), (436,358,[5_1|2]), (437,438,[2_1|2]), (437,439,[0_1|2]), (438,87,[5_1|2]), (438,142,[5_1|2]), (438,160,[5_1|2]), (438,286,[5_1|2]), (438,295,[5_1|2]), (438,304,[5_1|2]), (438,313,[5_1|2]), (438,322,[5_1|2]), (438,331,[5_1|2]), (438,340,[5_1|2]), (438,349,[5_1|2]), (438,358,[5_1|2]), (438,367,[5_1|2]), (438,466,[5_1|2]), (438,215,[5_1|2]), (438,259,[2_1|2]), (438,268,[3_1|2]), (438,277,[2_1|2]), (439,440,[1_1|2]), (440,441,[3_1|2]), (441,442,[4_1|2]), (442,443,[4_1|2]), (443,444,[2_1|2]), (444,445,[3_1|2]), (445,446,[2_1|2]), (446,447,[4_1|2]), (446,520,[4_1|2]), (447,87,[3_1|2]), (447,268,[3_1|2]), (447,529,[3_1|2]), (447,521,[3_1|2]), (447,557,[3_1|2]), (447,538,[4_1|2]), (447,547,[4_1|2]), (447,556,[4_1|2]), (447,565,[4_1|2]), (448,449,[3_1|2]), (449,450,[4_1|2]), (450,451,[2_1|2]), (451,452,[3_1|2]), (452,453,[1_1|2]), (453,454,[2_1|2]), (454,455,[1_1|2]), (455,456,[4_1|2]), (455,493,[2_1|2]), (456,87,[5_1|2]), (456,142,[5_1|2]), (456,160,[5_1|2]), (456,286,[5_1|2]), (456,295,[5_1|2]), (456,304,[5_1|2]), (456,313,[5_1|2]), (456,322,[5_1|2]), (456,331,[5_1|2]), (456,340,[5_1|2]), (456,349,[5_1|2]), (456,358,[5_1|2]), (456,367,[5_1|2]), (456,466,[5_1|2]), (456,259,[2_1|2]), (456,268,[3_1|2]), (456,277,[2_1|2]), (457,458,[0_1|2]), (458,459,[4_1|2]), (459,460,[1_1|2]), (460,461,[1_1|2]), (461,462,[5_1|2]), (462,463,[3_1|2]), (463,464,[3_1|2]), (464,465,[3_1|2]), (464,556,[4_1|2]), (465,87,[2_1|2]), (465,511,[2_1|2]), (465,520,[2_1|2]), (465,538,[2_1|2]), (465,547,[2_1|2]), (465,556,[2_1|2]), (465,565,[2_1|2]), (465,197,[2_1|2]), (465,439,[0_1|2]), (465,448,[2_1|2]), (465,457,[2_1|2]), (465,466,[5_1|2]), (465,475,[2_1|2]), (465,484,[2_1|2]), (466,467,[1_1|2]), (467,468,[2_1|2]), (468,469,[2_1|2]), (469,470,[0_1|2]), (470,471,[4_1|2]), (471,472,[2_1|2]), (472,473,[2_1|2]), (473,474,[4_1|2]), (473,493,[2_1|2]), (474,87,[5_1|2]), (474,142,[5_1|2]), (474,160,[5_1|2]), (474,286,[5_1|2]), (474,295,[5_1|2]), (474,304,[5_1|2]), (474,313,[5_1|2]), (474,322,[5_1|2]), (474,331,[5_1|2]), (474,340,[5_1|2]), (474,349,[5_1|2]), (474,358,[5_1|2]), (474,367,[5_1|2]), (474,466,[5_1|2]), (474,259,[2_1|2]), (474,268,[3_1|2]), (474,277,[2_1|2]), (475,476,[1_1|2]), (476,477,[4_1|2]), (477,478,[5_1|2]), (478,479,[5_1|2]), (479,480,[2_1|2]), (480,481,[2_1|2]), (481,482,[1_1|2]), (482,483,[2_1|2]), (483,87,[2_1|2]), (483,511,[2_1|2]), (483,520,[2_1|2]), (483,538,[2_1|2]), (483,547,[2_1|2]), (483,556,[2_1|2]), (483,565,[2_1|2]), (483,197,[2_1|2]), (483,439,[0_1|2]), (483,448,[2_1|2]), (483,457,[2_1|2]), (483,466,[5_1|2]), (483,475,[2_1|2]), (483,484,[2_1|2]), (484,485,[0_1|2]), (485,486,[4_1|2]), (486,487,[0_1|2]), (487,488,[4_1|2]), (488,489,[4_1|2]), (489,490,[3_1|2]), (490,491,[4_1|2]), (490,493,[2_1|2]), (490,592,[2_1|3]), (491,492,[5_1|2]), (491,358,[5_1|2]), (492,87,[2_1|2]), (492,88,[2_1|2]), (492,97,[2_1|2]), (492,133,[2_1|2]), (492,151,[2_1|2]), (492,169,[2_1|2]), (492,178,[2_1|2]), (492,187,[2_1|2]), (492,223,[2_1|2]), (492,232,[2_1|2]), (492,250,[2_1|2]), (492,259,[2_1|2]), (492,277,[2_1|2]), (492,394,[2_1|2]), (492,403,[2_1|2]), (492,412,[2_1|2]), (492,421,[2_1|2]), (492,448,[2_1|2]), (492,457,[2_1|2]), (492,475,[2_1|2]), (492,484,[2_1|2]), (492,493,[2_1|2]), (492,386,[2_1|2]), (492,126,[2_1|2]), (492,439,[0_1|2]), (492,466,[5_1|2]), (493,494,[4_1|2]), (494,495,[4_1|2]), (495,496,[2_1|2]), (496,497,[2_1|2]), (497,498,[3_1|2]), (498,499,[4_1|2]), (499,500,[5_1|2]), (500,501,[2_1|2]), (500,448,[2_1|2]), (500,457,[2_1|2]), (500,466,[5_1|2]), (501,87,[0_1|2]), (501,115,[0_1|2]), (501,124,[0_1|2]), (501,196,[0_1|2]), (501,205,[0_1|2]), (501,214,[0_1|2]), (501,439,[0_1|2]), (501,305,[0_1|2]), (501,350,[0_1|2]), (501,88,[2_1|2]), (501,97,[2_1|2]), (501,106,[1_1|2]), (501,133,[2_1|2]), (501,142,[5_1|2]), (501,151,[2_1|2]), (501,160,[5_1|2]), (501,169,[2_1|2]), (501,178,[2_1|2]), (501,187,[2_1|2]), (501,223,[2_1|2]), (501,232,[2_1|2]), (501,241,[1_1|2]), (501,250,[2_1|2]), (502,503,[0_1|2]), (503,504,[2_1|2]), (504,505,[3_1|2]), (505,506,[2_1|2]), (506,507,[2_1|2]), (507,508,[4_1|2]), (508,509,[5_1|2]), (509,510,[2_1|2]), (510,87,[2_1|2]), (510,88,[2_1|2]), (510,97,[2_1|2]), (510,133,[2_1|2]), (510,151,[2_1|2]), (510,169,[2_1|2]), (510,178,[2_1|2]), (510,187,[2_1|2]), (510,223,[2_1|2]), (510,232,[2_1|2]), (510,250,[2_1|2]), (510,259,[2_1|2]), (510,277,[2_1|2]), (510,394,[2_1|2]), (510,403,[2_1|2]), (510,412,[2_1|2]), (510,421,[2_1|2]), (510,448,[2_1|2]), (510,457,[2_1|2]), (510,475,[2_1|2]), (510,484,[2_1|2]), (510,493,[2_1|2]), (510,206,[2_1|2]), (510,504,[2_1|2]), (510,439,[0_1|2]), (510,466,[5_1|2]), (511,512,[0_1|2]), (512,513,[1_1|2]), (513,514,[4_1|2]), (514,515,[2_1|2]), (515,516,[2_1|2]), (516,517,[4_1|2]), (517,518,[3_1|2]), (518,519,[5_1|2]), (518,358,[5_1|2]), (519,87,[2_1|2]), (519,88,[2_1|2]), (519,97,[2_1|2]), (519,133,[2_1|2]), (519,151,[2_1|2]), (519,169,[2_1|2]), (519,178,[2_1|2]), (519,187,[2_1|2]), (519,223,[2_1|2]), (519,232,[2_1|2]), (519,250,[2_1|2]), (519,259,[2_1|2]), (519,277,[2_1|2]), (519,394,[2_1|2]), (519,403,[2_1|2]), (519,412,[2_1|2]), (519,421,[2_1|2]), (519,448,[2_1|2]), (519,457,[2_1|2]), (519,475,[2_1|2]), (519,484,[2_1|2]), (519,493,[2_1|2]), (519,386,[2_1|2]), (519,126,[2_1|2]), (519,439,[0_1|2]), (519,466,[5_1|2]), (520,521,[3_1|2]), (521,522,[4_1|2]), (522,523,[1_1|2]), (523,524,[4_1|2]), (524,525,[3_1|2]), (525,526,[4_1|2]), (526,527,[2_1|2]), (527,528,[1_1|2]), (527,376,[1_1|2]), (527,385,[1_1|2]), (528,87,[4_1|2]), (528,268,[4_1|2]), (528,529,[4_1|2]), (528,521,[4_1|2]), (528,557,[4_1|2]), (528,493,[2_1|2]), (528,502,[1_1|2]), (528,511,[4_1|2]), (528,520,[4_1|2]), (529,530,[4_1|2]), (530,531,[4_1|2]), (531,532,[2_1|2]), (532,533,[1_1|2]), (533,534,[3_1|2]), (534,535,[0_1|2]), (535,536,[0_1|2]), (536,537,[3_1|2]), (536,556,[4_1|2]), (537,87,[2_1|2]), (537,511,[2_1|2]), (537,520,[2_1|2]), (537,538,[2_1|2]), (537,547,[2_1|2]), (537,556,[2_1|2]), (537,565,[2_1|2]), (537,439,[0_1|2]), (537,448,[2_1|2]), (537,457,[2_1|2]), (537,466,[5_1|2]), (537,475,[2_1|2]), (537,484,[2_1|2]), (538,539,[2_1|2]), (539,540,[5_1|2]), (540,541,[2_1|2]), (541,542,[2_1|2]), (542,543,[4_1|2]), (543,544,[3_1|2]), (544,545,[5_1|2]), (545,546,[2_1|2]), (545,475,[2_1|2]), (546,87,[1_1|2]), (546,268,[1_1|2]), (546,529,[1_1|2]), (546,376,[1_1|2]), (546,385,[1_1|2]), (546,394,[2_1|2]), (546,403,[2_1|2]), (546,412,[2_1|2]), (546,421,[2_1|2]), (546,430,[1_1|2]), (547,548,[2_1|2]), (548,549,[4_1|2]), (549,550,[2_1|2]), (550,551,[4_1|2]), (551,552,[3_1|2]), (552,553,[0_1|2]), (553,554,[1_1|2]), (554,555,[5_1|2]), (554,358,[5_1|2]), (555,87,[2_1|2]), (555,511,[2_1|2]), (555,520,[2_1|2]), (555,538,[2_1|2]), (555,547,[2_1|2]), (555,556,[2_1|2]), (555,565,[2_1|2]), (555,514,[2_1|2]), (555,439,[0_1|2]), (555,448,[2_1|2]), (555,457,[2_1|2]), (555,466,[5_1|2]), (555,475,[2_1|2]), (555,484,[2_1|2]), (556,557,[3_1|2]), (557,558,[1_1|2]), (558,559,[1_1|2]), (559,560,[2_1|2]), (560,561,[4_1|2]), (561,562,[5_1|2]), (562,563,[3_1|2]), (563,564,[5_1|2]), (563,322,[5_1|2]), (563,331,[5_1|2]), (563,340,[5_1|2]), (563,349,[5_1|2]), (564,87,[0_1|2]), (564,115,[0_1|2]), (564,124,[0_1|2]), (564,196,[0_1|2]), (564,205,[0_1|2]), (564,214,[0_1|2]), (564,439,[0_1|2]), (564,88,[2_1|2]), (564,97,[2_1|2]), (564,106,[1_1|2]), (564,133,[2_1|2]), (564,142,[5_1|2]), (564,151,[2_1|2]), (564,160,[5_1|2]), (564,169,[2_1|2]), (564,178,[2_1|2]), (564,187,[2_1|2]), (564,223,[2_1|2]), (564,232,[2_1|2]), (564,241,[1_1|2]), (564,250,[2_1|2]), (565,566,[4_1|2]), (566,567,[3_1|2]), (567,568,[4_1|2]), (568,569,[4_1|2]), (569,570,[2_1|2]), (570,571,[1_1|2]), (571,572,[1_1|2]), (572,573,[4_1|2]), (572,493,[2_1|2]), (573,87,[5_1|2]), (573,142,[5_1|2]), (573,160,[5_1|2]), (573,286,[5_1|2]), (573,295,[5_1|2]), (573,304,[5_1|2]), (573,313,[5_1|2]), (573,322,[5_1|2]), (573,331,[5_1|2]), (573,340,[5_1|2]), (573,349,[5_1|2]), (573,358,[5_1|2]), (573,367,[5_1|2]), (573,466,[5_1|2]), (573,259,[2_1|2]), (573,268,[3_1|2]), (573,277,[2_1|2]), (574,575,[3_1|3]), (575,576,[4_1|3]), (576,577,[2_1|3]), (577,578,[4_1|3]), (578,579,[5_1|3]), (579,580,[5_1|3]), (580,581,[2_1|3]), (581,582,[4_1|3]), (582,242,[4_1|3]), (583,584,[2_1|3]), (584,585,[4_1|3]), (585,586,[2_1|3]), (586,587,[4_1|3]), (587,588,[4_1|3]), (588,589,[2_1|3]), (589,590,[4_1|3]), (590,591,[5_1|3]), (591,107,[1_1|3]), (591,377,[1_1|3]), (592,593,[4_1|3]), (593,594,[4_1|3]), (594,595,[2_1|3]), (595,596,[2_1|3]), (596,597,[3_1|3]), (597,598,[4_1|3]), (598,599,[5_1|3]), (599,600,[2_1|3]), (600,305,[0_1|3]), (600,350,[0_1|3])}" ---------------------------------------- (8) BOUNDS(1, n^1)