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# AProVE Commit ID: 794c25de1cacf0d048858bcd21c9a779e1221865 marcel 20200619 unpublished dirty The Derivational Complexity (full) of the given DCpxTrs could be proven to be BOUNDS(1, n^1).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), 88 ms] (4) CpxRelTRS (5) RelTrsToTrsProof [UPPER BOUND(ID), 0 ms] (6) CpxTRS (7) CpxTrsMatchBoundsProof [FINISHED, 202 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(2(x1)))) -> 3(4(5(4(4(5(3(0(0(3(x1)))))))))) 3(2(2(2(x1)))) -> 0(3(2(4(4(4(1(3(5(3(x1)))))))))) 0(2(4(5(2(x1))))) -> 0(3(4(0(0(0(0(3(1(3(x1)))))))))) 1(4(0(5(1(x1))))) -> 5(4(4(4(5(4(3(3(3(0(x1)))))))))) 5(4(1(2(0(x1))))) -> 0(0(4(4(3(0(4(1(3(0(x1)))))))))) 0(3(2(5(3(5(x1)))))) -> 3(1(3(4(4(3(4(3(3(5(x1)))))))))) 0(5(1(1(5(0(x1)))))) -> 0(0(0(3(1(3(3(1(3(0(x1)))))))))) 1(2(5(2(2(3(x1)))))) -> 0(4(2(4(5(4(3(4(3(3(x1)))))))))) 2(0(0(1(2(3(x1)))))) -> 1(3(3(3(1(3(4(4(4(3(x1)))))))))) 2(0(1(3(5(1(x1)))))) -> 0(0(3(4(5(4(5(3(0(1(x1)))))))))) 2(5(5(0(0(1(x1)))))) -> 4(1(0(3(4(3(1(5(3(0(x1)))))))))) 3(0(4(0(3(1(x1)))))) -> 4(4(4(5(3(0(1(0(3(1(x1)))))))))) 3(2(1(5(5(0(x1)))))) -> 4(1(3(3(4(0(4(3(3(0(x1)))))))))) 3(2(4(1(2(2(x1)))))) -> 4(4(4(5(4(2(0(3(4(2(x1)))))))))) 3(2(5(2(2(0(x1)))))) -> 3(4(4(0(2(1(3(5(3(0(x1)))))))))) 3(4(1(2(2(3(x1)))))) -> 3(5(4(1(4(4(4(4(4(5(x1)))))))))) 3(5(2(0(3(5(x1)))))) -> 3(3(4(3(4(3(4(4(2(5(x1)))))))))) 4(0(0(0(1(4(x1)))))) -> 2(3(0(3(3(4(1(3(1(4(x1)))))))))) 4(0(1(3(2(4(x1)))))) -> 4(1(4(1(3(3(1(4(1(4(x1)))))))))) 4(3(0(5(4(4(x1)))))) -> 4(3(4(5(3(1(4(4(2(4(x1)))))))))) 5(1(2(3(5(0(x1)))))) -> 2(2(4(4(2(4(4(3(3(0(x1)))))))))) 5(3(0(1(3(3(x1)))))) -> 2(4(4(1(4(4(3(1(3(3(x1)))))))))) 5(4(5(5(5(3(x1)))))) -> 3(5(4(4(2(4(3(4(0(3(x1)))))))))) 5(5(0(1(5(3(x1)))))) -> 5(4(4(4(1(3(0(5(4(3(x1)))))))))) 5(5(5(0(2(2(x1)))))) -> 2(4(1(4(3(4(3(4(4(3(x1)))))))))) 5(5(5(5(2(3(x1)))))) -> 3(3(0(4(1(4(2(4(4(3(x1)))))))))) 0(2(4(5(2(2(3(x1))))))) -> 0(5(1(4(4(1(3(1(5(3(x1)))))))))) 0(3(0(4(1(5(3(x1))))))) -> 0(0(3(3(4(4(3(0(0(5(x1)))))))))) 0(4(3(4(5(2(2(x1))))))) -> 0(0(4(5(3(4(2(3(3(2(x1)))))))))) 1(3(2(0(2(2(3(x1))))))) -> 1(3(4(3(5(1(1(1(2(3(x1)))))))))) 1(4(5(5(2(2(0(x1))))))) -> 3(2(1(3(4(4(5(0(3(0(x1)))))))))) 1(5(0(2(2(2(4(x1))))))) -> 0(5(1(3(5(4(3(3(1(4(x1)))))))))) 1(5(4(0(2(1(3(x1))))))) -> 0(1(1(5(3(3(4(4(0(3(x1)))))))))) 2(0(1(5(2(0(5(x1))))))) -> 3(4(0(0(3(1(3(0(2(5(x1)))))))))) 2(2(0(0(2(2(4(x1))))))) -> 2(1(1(4(4(5(4(4(4(4(x1)))))))))) 2(3(0(5(0(1(3(x1))))))) -> 2(3(1(0(5(1(0(3(1(3(x1)))))))))) 2(4(0(2(2(5(0(x1))))))) -> 1(3(0(4(5(4(4(0(3(0(x1)))))))))) 2(4(5(0(2(5(0(x1))))))) -> 4(4(3(1(3(4(0(5(1(1(x1)))))))))) 2(5(2(2(5(2(4(x1))))))) -> 4(3(4(1(3(0(4(0(4(4(x1)))))))))) 3(2(0(2(2(2(2(x1))))))) -> 4(5(3(1(3(2(3(5(0(5(x1)))))))))) 3(2(5(5(2(4(5(x1))))))) -> 3(0(0(0(3(2(4(3(4(5(x1)))))))))) 3(2(5(5(3(2(3(x1))))))) -> 3(1(0(5(0(3(2(4(3(3(x1)))))))))) 3(3(5(0(2(2(2(x1))))))) -> 4(4(3(0(4(3(3(5(3(5(x1)))))))))) 3(4(5(2(1(1(2(x1))))))) -> 3(4(5(3(5(4(4(2(0(5(x1)))))))))) 4(0(3(3(1(5(4(x1))))))) -> 1(3(1(0(0(0(3(4(4(4(x1)))))))))) 4(1(2(4(1(2(2(x1))))))) -> 3(4(5(3(1(1(4(4(0(5(x1)))))))))) 5(2(5(2(3(3(2(x1))))))) -> 4(3(1(0(3(1(3(2(5(3(x1)))))))))) 5(3(2(2(3(0(2(x1))))))) -> 4(5(4(3(3(1(0(5(0(2(x1)))))))))) 5(3(2(5(2(5(0(x1))))))) -> 5(4(2(2(4(4(3(0(3(1(x1)))))))))) 5(5(2(2(2(2(0(x1))))))) -> 0(5(3(5(1(3(1(0(3(0(x1)))))))))) 5(5(5(2(1(1(0(x1))))))) -> 4(2(2(4(5(4(2(3(3(1(x1)))))))))) 5(5(5(2(2(0(0(x1))))))) -> 1(4(0(3(3(4(2(3(3(1(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_3(x_1)) -> 3(encArg(x_1)) encArg(cons_1(x_1)) -> 1(encArg(x_1)) encArg(cons_5(x_1)) -> 5(encArg(x_1)) encArg(cons_2(x_1)) -> 2(encArg(x_1)) encArg(cons_4(x_1)) -> 4(encArg(x_1)) 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(2(x1)))) -> 3(4(5(4(4(5(3(0(0(3(x1)))))))))) 3(2(2(2(x1)))) -> 0(3(2(4(4(4(1(3(5(3(x1)))))))))) 0(2(4(5(2(x1))))) -> 0(3(4(0(0(0(0(3(1(3(x1)))))))))) 1(4(0(5(1(x1))))) -> 5(4(4(4(5(4(3(3(3(0(x1)))))))))) 5(4(1(2(0(x1))))) -> 0(0(4(4(3(0(4(1(3(0(x1)))))))))) 0(3(2(5(3(5(x1)))))) -> 3(1(3(4(4(3(4(3(3(5(x1)))))))))) 0(5(1(1(5(0(x1)))))) -> 0(0(0(3(1(3(3(1(3(0(x1)))))))))) 1(2(5(2(2(3(x1)))))) -> 0(4(2(4(5(4(3(4(3(3(x1)))))))))) 2(0(0(1(2(3(x1)))))) -> 1(3(3(3(1(3(4(4(4(3(x1)))))))))) 2(0(1(3(5(1(x1)))))) -> 0(0(3(4(5(4(5(3(0(1(x1)))))))))) 2(5(5(0(0(1(x1)))))) -> 4(1(0(3(4(3(1(5(3(0(x1)))))))))) 3(0(4(0(3(1(x1)))))) -> 4(4(4(5(3(0(1(0(3(1(x1)))))))))) 3(2(1(5(5(0(x1)))))) -> 4(1(3(3(4(0(4(3(3(0(x1)))))))))) 3(2(4(1(2(2(x1)))))) -> 4(4(4(5(4(2(0(3(4(2(x1)))))))))) 3(2(5(2(2(0(x1)))))) -> 3(4(4(0(2(1(3(5(3(0(x1)))))))))) 3(4(1(2(2(3(x1)))))) -> 3(5(4(1(4(4(4(4(4(5(x1)))))))))) 3(5(2(0(3(5(x1)))))) -> 3(3(4(3(4(3(4(4(2(5(x1)))))))))) 4(0(0(0(1(4(x1)))))) -> 2(3(0(3(3(4(1(3(1(4(x1)))))))))) 4(0(1(3(2(4(x1)))))) -> 4(1(4(1(3(3(1(4(1(4(x1)))))))))) 4(3(0(5(4(4(x1)))))) -> 4(3(4(5(3(1(4(4(2(4(x1)))))))))) 5(1(2(3(5(0(x1)))))) -> 2(2(4(4(2(4(4(3(3(0(x1)))))))))) 5(3(0(1(3(3(x1)))))) -> 2(4(4(1(4(4(3(1(3(3(x1)))))))))) 5(4(5(5(5(3(x1)))))) -> 3(5(4(4(2(4(3(4(0(3(x1)))))))))) 5(5(0(1(5(3(x1)))))) -> 5(4(4(4(1(3(0(5(4(3(x1)))))))))) 5(5(5(0(2(2(x1)))))) -> 2(4(1(4(3(4(3(4(4(3(x1)))))))))) 5(5(5(5(2(3(x1)))))) -> 3(3(0(4(1(4(2(4(4(3(x1)))))))))) 0(2(4(5(2(2(3(x1))))))) -> 0(5(1(4(4(1(3(1(5(3(x1)))))))))) 0(3(0(4(1(5(3(x1))))))) -> 0(0(3(3(4(4(3(0(0(5(x1)))))))))) 0(4(3(4(5(2(2(x1))))))) -> 0(0(4(5(3(4(2(3(3(2(x1)))))))))) 1(3(2(0(2(2(3(x1))))))) -> 1(3(4(3(5(1(1(1(2(3(x1)))))))))) 1(4(5(5(2(2(0(x1))))))) -> 3(2(1(3(4(4(5(0(3(0(x1)))))))))) 1(5(0(2(2(2(4(x1))))))) -> 0(5(1(3(5(4(3(3(1(4(x1)))))))))) 1(5(4(0(2(1(3(x1))))))) -> 0(1(1(5(3(3(4(4(0(3(x1)))))))))) 2(0(1(5(2(0(5(x1))))))) -> 3(4(0(0(3(1(3(0(2(5(x1)))))))))) 2(2(0(0(2(2(4(x1))))))) -> 2(1(1(4(4(5(4(4(4(4(x1)))))))))) 2(3(0(5(0(1(3(x1))))))) -> 2(3(1(0(5(1(0(3(1(3(x1)))))))))) 2(4(0(2(2(5(0(x1))))))) -> 1(3(0(4(5(4(4(0(3(0(x1)))))))))) 2(4(5(0(2(5(0(x1))))))) -> 4(4(3(1(3(4(0(5(1(1(x1)))))))))) 2(5(2(2(5(2(4(x1))))))) -> 4(3(4(1(3(0(4(0(4(4(x1)))))))))) 3(2(0(2(2(2(2(x1))))))) -> 4(5(3(1(3(2(3(5(0(5(x1)))))))))) 3(2(5(5(2(4(5(x1))))))) -> 3(0(0(0(3(2(4(3(4(5(x1)))))))))) 3(2(5(5(3(2(3(x1))))))) -> 3(1(0(5(0(3(2(4(3(3(x1)))))))))) 3(3(5(0(2(2(2(x1))))))) -> 4(4(3(0(4(3(3(5(3(5(x1)))))))))) 3(4(5(2(1(1(2(x1))))))) -> 3(4(5(3(5(4(4(2(0(5(x1)))))))))) 4(0(3(3(1(5(4(x1))))))) -> 1(3(1(0(0(0(3(4(4(4(x1)))))))))) 4(1(2(4(1(2(2(x1))))))) -> 3(4(5(3(1(1(4(4(0(5(x1)))))))))) 5(2(5(2(3(3(2(x1))))))) -> 4(3(1(0(3(1(3(2(5(3(x1)))))))))) 5(3(2(2(3(0(2(x1))))))) -> 4(5(4(3(3(1(0(5(0(2(x1)))))))))) 5(3(2(5(2(5(0(x1))))))) -> 5(4(2(2(4(4(3(0(3(1(x1)))))))))) 5(5(2(2(2(2(0(x1))))))) -> 0(5(3(5(1(3(1(0(3(0(x1)))))))))) 5(5(5(2(1(1(0(x1))))))) -> 4(2(2(4(5(4(2(3(3(1(x1)))))))))) 5(5(5(2(2(0(0(x1))))))) -> 1(4(0(3(3(4(2(3(3(1(x1)))))))))) The (relative) TRS S consists of the following rules: encArg(cons_0(x_1)) -> 0(encArg(x_1)) encArg(cons_3(x_1)) -> 3(encArg(x_1)) encArg(cons_1(x_1)) -> 1(encArg(x_1)) encArg(cons_5(x_1)) -> 5(encArg(x_1)) encArg(cons_2(x_1)) -> 2(encArg(x_1)) encArg(cons_4(x_1)) -> 4(encArg(x_1)) 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(2(x1)))) -> 3(4(5(4(4(5(3(0(0(3(x1)))))))))) 3(2(2(2(x1)))) -> 0(3(2(4(4(4(1(3(5(3(x1)))))))))) 0(2(4(5(2(x1))))) -> 0(3(4(0(0(0(0(3(1(3(x1)))))))))) 1(4(0(5(1(x1))))) -> 5(4(4(4(5(4(3(3(3(0(x1)))))))))) 5(4(1(2(0(x1))))) -> 0(0(4(4(3(0(4(1(3(0(x1)))))))))) 0(3(2(5(3(5(x1)))))) -> 3(1(3(4(4(3(4(3(3(5(x1)))))))))) 0(5(1(1(5(0(x1)))))) -> 0(0(0(3(1(3(3(1(3(0(x1)))))))))) 1(2(5(2(2(3(x1)))))) -> 0(4(2(4(5(4(3(4(3(3(x1)))))))))) 2(0(0(1(2(3(x1)))))) -> 1(3(3(3(1(3(4(4(4(3(x1)))))))))) 2(0(1(3(5(1(x1)))))) -> 0(0(3(4(5(4(5(3(0(1(x1)))))))))) 2(5(5(0(0(1(x1)))))) -> 4(1(0(3(4(3(1(5(3(0(x1)))))))))) 3(0(4(0(3(1(x1)))))) -> 4(4(4(5(3(0(1(0(3(1(x1)))))))))) 3(2(1(5(5(0(x1)))))) -> 4(1(3(3(4(0(4(3(3(0(x1)))))))))) 3(2(4(1(2(2(x1)))))) -> 4(4(4(5(4(2(0(3(4(2(x1)))))))))) 3(2(5(2(2(0(x1)))))) -> 3(4(4(0(2(1(3(5(3(0(x1)))))))))) 3(4(1(2(2(3(x1)))))) -> 3(5(4(1(4(4(4(4(4(5(x1)))))))))) 3(5(2(0(3(5(x1)))))) -> 3(3(4(3(4(3(4(4(2(5(x1)))))))))) 4(0(0(0(1(4(x1)))))) -> 2(3(0(3(3(4(1(3(1(4(x1)))))))))) 4(0(1(3(2(4(x1)))))) -> 4(1(4(1(3(3(1(4(1(4(x1)))))))))) 4(3(0(5(4(4(x1)))))) -> 4(3(4(5(3(1(4(4(2(4(x1)))))))))) 5(1(2(3(5(0(x1)))))) -> 2(2(4(4(2(4(4(3(3(0(x1)))))))))) 5(3(0(1(3(3(x1)))))) -> 2(4(4(1(4(4(3(1(3(3(x1)))))))))) 5(4(5(5(5(3(x1)))))) -> 3(5(4(4(2(4(3(4(0(3(x1)))))))))) 5(5(0(1(5(3(x1)))))) -> 5(4(4(4(1(3(0(5(4(3(x1)))))))))) 5(5(5(0(2(2(x1)))))) -> 2(4(1(4(3(4(3(4(4(3(x1)))))))))) 5(5(5(5(2(3(x1)))))) -> 3(3(0(4(1(4(2(4(4(3(x1)))))))))) 0(2(4(5(2(2(3(x1))))))) -> 0(5(1(4(4(1(3(1(5(3(x1)))))))))) 0(3(0(4(1(5(3(x1))))))) -> 0(0(3(3(4(4(3(0(0(5(x1)))))))))) 0(4(3(4(5(2(2(x1))))))) -> 0(0(4(5(3(4(2(3(3(2(x1)))))))))) 1(3(2(0(2(2(3(x1))))))) -> 1(3(4(3(5(1(1(1(2(3(x1)))))))))) 1(4(5(5(2(2(0(x1))))))) -> 3(2(1(3(4(4(5(0(3(0(x1)))))))))) 1(5(0(2(2(2(4(x1))))))) -> 0(5(1(3(5(4(3(3(1(4(x1)))))))))) 1(5(4(0(2(1(3(x1))))))) -> 0(1(1(5(3(3(4(4(0(3(x1)))))))))) 2(0(1(5(2(0(5(x1))))))) -> 3(4(0(0(3(1(3(0(2(5(x1)))))))))) 2(2(0(0(2(2(4(x1))))))) -> 2(1(1(4(4(5(4(4(4(4(x1)))))))))) 2(3(0(5(0(1(3(x1))))))) -> 2(3(1(0(5(1(0(3(1(3(x1)))))))))) 2(4(0(2(2(5(0(x1))))))) -> 1(3(0(4(5(4(4(0(3(0(x1)))))))))) 2(4(5(0(2(5(0(x1))))))) -> 4(4(3(1(3(4(0(5(1(1(x1)))))))))) 2(5(2(2(5(2(4(x1))))))) -> 4(3(4(1(3(0(4(0(4(4(x1)))))))))) 3(2(0(2(2(2(2(x1))))))) -> 4(5(3(1(3(2(3(5(0(5(x1)))))))))) 3(2(5(5(2(4(5(x1))))))) -> 3(0(0(0(3(2(4(3(4(5(x1)))))))))) 3(2(5(5(3(2(3(x1))))))) -> 3(1(0(5(0(3(2(4(3(3(x1)))))))))) 3(3(5(0(2(2(2(x1))))))) -> 4(4(3(0(4(3(3(5(3(5(x1)))))))))) 3(4(5(2(1(1(2(x1))))))) -> 3(4(5(3(5(4(4(2(0(5(x1)))))))))) 4(0(3(3(1(5(4(x1))))))) -> 1(3(1(0(0(0(3(4(4(4(x1)))))))))) 4(1(2(4(1(2(2(x1))))))) -> 3(4(5(3(1(1(4(4(0(5(x1)))))))))) 5(2(5(2(3(3(2(x1))))))) -> 4(3(1(0(3(1(3(2(5(3(x1)))))))))) 5(3(2(2(3(0(2(x1))))))) -> 4(5(4(3(3(1(0(5(0(2(x1)))))))))) 5(3(2(5(2(5(0(x1))))))) -> 5(4(2(2(4(4(3(0(3(1(x1)))))))))) 5(5(2(2(2(2(0(x1))))))) -> 0(5(3(5(1(3(1(0(3(0(x1)))))))))) 5(5(5(2(1(1(0(x1))))))) -> 4(2(2(4(5(4(2(3(3(1(x1)))))))))) 5(5(5(2(2(0(0(x1))))))) -> 1(4(0(3(3(4(2(3(3(1(x1)))))))))) The (relative) TRS S consists of the following rules: encArg(cons_0(x_1)) -> 0(encArg(x_1)) encArg(cons_3(x_1)) -> 3(encArg(x_1)) encArg(cons_1(x_1)) -> 1(encArg(x_1)) encArg(cons_5(x_1)) -> 5(encArg(x_1)) encArg(cons_2(x_1)) -> 2(encArg(x_1)) encArg(cons_4(x_1)) -> 4(encArg(x_1)) 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(2(x1)))) -> 3(4(5(4(4(5(3(0(0(3(x1)))))))))) 3(2(2(2(x1)))) -> 0(3(2(4(4(4(1(3(5(3(x1)))))))))) 0(2(4(5(2(x1))))) -> 0(3(4(0(0(0(0(3(1(3(x1)))))))))) 1(4(0(5(1(x1))))) -> 5(4(4(4(5(4(3(3(3(0(x1)))))))))) 5(4(1(2(0(x1))))) -> 0(0(4(4(3(0(4(1(3(0(x1)))))))))) 0(3(2(5(3(5(x1)))))) -> 3(1(3(4(4(3(4(3(3(5(x1)))))))))) 0(5(1(1(5(0(x1)))))) -> 0(0(0(3(1(3(3(1(3(0(x1)))))))))) 1(2(5(2(2(3(x1)))))) -> 0(4(2(4(5(4(3(4(3(3(x1)))))))))) 2(0(0(1(2(3(x1)))))) -> 1(3(3(3(1(3(4(4(4(3(x1)))))))))) 2(0(1(3(5(1(x1)))))) -> 0(0(3(4(5(4(5(3(0(1(x1)))))))))) 2(5(5(0(0(1(x1)))))) -> 4(1(0(3(4(3(1(5(3(0(x1)))))))))) 3(0(4(0(3(1(x1)))))) -> 4(4(4(5(3(0(1(0(3(1(x1)))))))))) 3(2(1(5(5(0(x1)))))) -> 4(1(3(3(4(0(4(3(3(0(x1)))))))))) 3(2(4(1(2(2(x1)))))) -> 4(4(4(5(4(2(0(3(4(2(x1)))))))))) 3(2(5(2(2(0(x1)))))) -> 3(4(4(0(2(1(3(5(3(0(x1)))))))))) 3(4(1(2(2(3(x1)))))) -> 3(5(4(1(4(4(4(4(4(5(x1)))))))))) 3(5(2(0(3(5(x1)))))) -> 3(3(4(3(4(3(4(4(2(5(x1)))))))))) 4(0(0(0(1(4(x1)))))) -> 2(3(0(3(3(4(1(3(1(4(x1)))))))))) 4(0(1(3(2(4(x1)))))) -> 4(1(4(1(3(3(1(4(1(4(x1)))))))))) 4(3(0(5(4(4(x1)))))) -> 4(3(4(5(3(1(4(4(2(4(x1)))))))))) 5(1(2(3(5(0(x1)))))) -> 2(2(4(4(2(4(4(3(3(0(x1)))))))))) 5(3(0(1(3(3(x1)))))) -> 2(4(4(1(4(4(3(1(3(3(x1)))))))))) 5(4(5(5(5(3(x1)))))) -> 3(5(4(4(2(4(3(4(0(3(x1)))))))))) 5(5(0(1(5(3(x1)))))) -> 5(4(4(4(1(3(0(5(4(3(x1)))))))))) 5(5(5(0(2(2(x1)))))) -> 2(4(1(4(3(4(3(4(4(3(x1)))))))))) 5(5(5(5(2(3(x1)))))) -> 3(3(0(4(1(4(2(4(4(3(x1)))))))))) 0(2(4(5(2(2(3(x1))))))) -> 0(5(1(4(4(1(3(1(5(3(x1)))))))))) 0(3(0(4(1(5(3(x1))))))) -> 0(0(3(3(4(4(3(0(0(5(x1)))))))))) 0(4(3(4(5(2(2(x1))))))) -> 0(0(4(5(3(4(2(3(3(2(x1)))))))))) 1(3(2(0(2(2(3(x1))))))) -> 1(3(4(3(5(1(1(1(2(3(x1)))))))))) 1(4(5(5(2(2(0(x1))))))) -> 3(2(1(3(4(4(5(0(3(0(x1)))))))))) 1(5(0(2(2(2(4(x1))))))) -> 0(5(1(3(5(4(3(3(1(4(x1)))))))))) 1(5(4(0(2(1(3(x1))))))) -> 0(1(1(5(3(3(4(4(0(3(x1)))))))))) 2(0(1(5(2(0(5(x1))))))) -> 3(4(0(0(3(1(3(0(2(5(x1)))))))))) 2(2(0(0(2(2(4(x1))))))) -> 2(1(1(4(4(5(4(4(4(4(x1)))))))))) 2(3(0(5(0(1(3(x1))))))) -> 2(3(1(0(5(1(0(3(1(3(x1)))))))))) 2(4(0(2(2(5(0(x1))))))) -> 1(3(0(4(5(4(4(0(3(0(x1)))))))))) 2(4(5(0(2(5(0(x1))))))) -> 4(4(3(1(3(4(0(5(1(1(x1)))))))))) 2(5(2(2(5(2(4(x1))))))) -> 4(3(4(1(3(0(4(0(4(4(x1)))))))))) 3(2(0(2(2(2(2(x1))))))) -> 4(5(3(1(3(2(3(5(0(5(x1)))))))))) 3(2(5(5(2(4(5(x1))))))) -> 3(0(0(0(3(2(4(3(4(5(x1)))))))))) 3(2(5(5(3(2(3(x1))))))) -> 3(1(0(5(0(3(2(4(3(3(x1)))))))))) 3(3(5(0(2(2(2(x1))))))) -> 4(4(3(0(4(3(3(5(3(5(x1)))))))))) 3(4(5(2(1(1(2(x1))))))) -> 3(4(5(3(5(4(4(2(0(5(x1)))))))))) 4(0(3(3(1(5(4(x1))))))) -> 1(3(1(0(0(0(3(4(4(4(x1)))))))))) 4(1(2(4(1(2(2(x1))))))) -> 3(4(5(3(1(1(4(4(0(5(x1)))))))))) 5(2(5(2(3(3(2(x1))))))) -> 4(3(1(0(3(1(3(2(5(3(x1)))))))))) 5(3(2(2(3(0(2(x1))))))) -> 4(5(4(3(3(1(0(5(0(2(x1)))))))))) 5(3(2(5(2(5(0(x1))))))) -> 5(4(2(2(4(4(3(0(3(1(x1)))))))))) 5(5(2(2(2(2(0(x1))))))) -> 0(5(3(5(1(3(1(0(3(0(x1)))))))))) 5(5(5(2(1(1(0(x1))))))) -> 4(2(2(4(5(4(2(3(3(1(x1)))))))))) 5(5(5(2(2(0(0(x1))))))) -> 1(4(0(3(3(4(2(3(3(1(x1)))))))))) encArg(cons_0(x_1)) -> 0(encArg(x_1)) encArg(cons_3(x_1)) -> 3(encArg(x_1)) encArg(cons_1(x_1)) -> 1(encArg(x_1)) encArg(cons_5(x_1)) -> 5(encArg(x_1)) encArg(cons_2(x_1)) -> 2(encArg(x_1)) encArg(cons_4(x_1)) -> 4(encArg(x_1)) 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. "[137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 254, 255, 256, 257, 258, 259, 260, 261, 262, 263, 264, 265, 266, 267, 268, 269, 270, 271, 272, 273, 274, 275, 276, 277, 278, 279, 280, 281, 282, 283, 284, 285, 286, 287, 288, 289, 290, 291, 292, 293, 294, 295, 296, 297, 298, 299, 300, 301, 302, 303, 304, 305, 306, 307, 308, 309, 310, 311, 312, 313, 314, 315, 316, 317, 318, 319, 320, 321, 322, 323, 324, 325, 326, 327, 328, 329, 330, 331, 332, 333, 334, 335, 336, 337, 338, 339, 340, 341, 342, 343, 344, 345, 346, 347, 348, 349, 350, 351, 352, 353, 354, 355, 356, 357, 358, 359, 360, 361, 362, 363, 364, 365, 366, 367, 368, 369, 370, 371, 372, 373, 374, 375, 376, 377, 378, 379, 380, 381, 382, 383, 384, 385, 386, 387, 388, 389, 390, 391, 392, 393, 394, 395, 396, 397, 398, 399, 400, 401, 402, 403, 404, 405, 406, 407, 408, 409, 410, 411, 412, 413, 414, 415, 416, 417, 418, 419, 420, 421, 422, 423, 424, 425, 426, 427, 428, 429, 430, 431, 432, 433, 434, 435, 436, 437, 438, 439, 440, 441, 442, 443, 444, 445, 446, 447, 448, 449, 450, 451, 452, 453, 454, 455, 456, 457, 458, 459, 460, 461, 462, 463, 464, 465, 466, 467, 468, 469, 470, 471, 472, 473, 474, 475, 476, 477, 478, 479, 480, 481, 482, 483, 484, 485, 486, 487, 488, 489, 490, 491, 492, 493, 494, 495, 496, 497, 498, 499, 500, 501, 502, 503, 504, 505, 506, 507, 508, 509, 510, 511, 512, 513, 514, 515, 516, 517, 518, 519, 520, 521, 522, 523, 524, 525, 526, 527, 528, 529, 530, 531, 532, 533, 534, 535, 536, 537, 538, 539, 540, 541, 542, 543, 544, 545, 546, 547, 548, 549, 550, 551, 552, 553, 554, 555, 556, 557, 558, 559, 560, 561, 562, 563, 564, 565, 566, 567, 568, 569, 570, 571, 572, 573, 574, 575, 576, 577, 578, 579, 580, 581, 582, 583, 584, 585, 586, 587, 588, 589, 590, 591, 592, 593, 594, 595, 596, 597, 598, 599, 600, 601, 602, 603, 604, 605, 606, 607, 608, 609, 610, 611, 612, 613, 614, 615, 616, 617, 618, 619, 620, 621, 622, 623, 624, 625, 626, 627, 628, 629, 630, 631, 632, 633, 634, 635, 636, 637, 638, 639, 640, 641, 642, 643] {(137,138,[0_1|0, 3_1|0, 1_1|0, 5_1|0, 2_1|0, 4_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]), (137,139,[0_1|1, 3_1|1, 1_1|1, 5_1|1, 2_1|1, 4_1|1]), (137,140,[3_1|2]), (137,149,[0_1|2]), (137,158,[0_1|2]), (137,167,[3_1|2]), (137,176,[0_1|2]), (137,185,[0_1|2]), (137,194,[0_1|2]), (137,203,[0_1|2]), (137,212,[4_1|2]), (137,221,[4_1|2]), (137,230,[3_1|2]), (137,239,[3_1|2]), (137,248,[3_1|2]), (137,257,[4_1|2]), (137,266,[4_1|2]), (137,275,[3_1|2]), (137,284,[3_1|2]), (137,293,[3_1|2]), (137,302,[4_1|2]), (137,311,[5_1|2]), (137,320,[3_1|2]), (137,329,[0_1|2]), (137,338,[1_1|2]), (137,347,[0_1|2]), (137,356,[0_1|2]), (137,365,[0_1|2]), (137,374,[3_1|2]), (137,383,[2_1|2]), (137,392,[2_1|2]), (137,401,[4_1|2]), (137,410,[5_1|2]), (137,419,[5_1|2]), (137,428,[2_1|2]), (137,437,[3_1|2]), (137,446,[4_1|2]), (137,455,[1_1|2]), (137,464,[0_1|2]), (137,473,[4_1|2]), (137,482,[1_1|2]), (137,491,[0_1|2]), (137,500,[3_1|2]), (137,509,[4_1|2]), (137,518,[4_1|2]), (137,527,[2_1|2]), (137,536,[2_1|2]), (137,545,[1_1|2]), (137,554,[4_1|2]), (137,563,[2_1|2]), (137,572,[4_1|2]), (137,581,[1_1|2]), (137,590,[4_1|2]), (137,599,[3_1|2]), (138,138,[cons_0_1|0, cons_3_1|0, cons_1_1|0, cons_5_1|0, cons_2_1|0, cons_4_1|0]), (139,138,[encArg_1|1]), (139,139,[0_1|1, 3_1|1, 1_1|1, 5_1|1, 2_1|1, 4_1|1]), (139,140,[3_1|2]), (139,149,[0_1|2]), (139,158,[0_1|2]), (139,167,[3_1|2]), (139,176,[0_1|2]), (139,185,[0_1|2]), (139,194,[0_1|2]), (139,203,[0_1|2]), (139,212,[4_1|2]), (139,221,[4_1|2]), (139,230,[3_1|2]), (139,239,[3_1|2]), (139,248,[3_1|2]), (139,257,[4_1|2]), (139,266,[4_1|2]), (139,275,[3_1|2]), (139,284,[3_1|2]), (139,293,[3_1|2]), (139,302,[4_1|2]), (139,311,[5_1|2]), (139,320,[3_1|2]), (139,329,[0_1|2]), (139,338,[1_1|2]), (139,347,[0_1|2]), (139,356,[0_1|2]), (139,365,[0_1|2]), (139,374,[3_1|2]), (139,383,[2_1|2]), (139,392,[2_1|2]), (139,401,[4_1|2]), (139,410,[5_1|2]), (139,419,[5_1|2]), (139,428,[2_1|2]), (139,437,[3_1|2]), (139,446,[4_1|2]), (139,455,[1_1|2]), (139,464,[0_1|2]), (139,473,[4_1|2]), (139,482,[1_1|2]), (139,491,[0_1|2]), (139,500,[3_1|2]), (139,509,[4_1|2]), (139,518,[4_1|2]), (139,527,[2_1|2]), (139,536,[2_1|2]), (139,545,[1_1|2]), (139,554,[4_1|2]), (139,563,[2_1|2]), (139,572,[4_1|2]), (139,581,[1_1|2]), (139,590,[4_1|2]), (139,599,[3_1|2]), (140,141,[4_1|2]), (141,142,[5_1|2]), (142,143,[4_1|2]), (143,144,[4_1|2]), (144,145,[5_1|2]), (145,146,[3_1|2]), (146,147,[0_1|2]), (147,148,[0_1|2]), (147,167,[3_1|2]), (147,176,[0_1|2]), (148,139,[3_1|2]), (148,383,[3_1|2]), (148,392,[3_1|2]), (148,428,[3_1|2]), (148,527,[3_1|2]), (148,536,[3_1|2]), (148,563,[3_1|2]), (148,203,[0_1|2]), (148,212,[4_1|2]), (148,221,[4_1|2]), (148,230,[3_1|2]), (148,239,[3_1|2]), (148,248,[3_1|2]), (148,257,[4_1|2]), (148,266,[4_1|2]), (148,275,[3_1|2]), (148,284,[3_1|2]), (148,293,[3_1|2]), (148,302,[4_1|2]), (149,150,[3_1|2]), (150,151,[4_1|2]), (151,152,[0_1|2]), (152,153,[0_1|2]), (153,154,[0_1|2]), (154,155,[0_1|2]), (155,156,[3_1|2]), (156,157,[1_1|2]), (156,338,[1_1|2]), (157,139,[3_1|2]), (157,383,[3_1|2]), (157,392,[3_1|2]), (157,428,[3_1|2]), (157,527,[3_1|2]), (157,536,[3_1|2]), (157,563,[3_1|2]), (157,203,[0_1|2]), (157,212,[4_1|2]), (157,221,[4_1|2]), (157,230,[3_1|2]), (157,239,[3_1|2]), (157,248,[3_1|2]), (157,257,[4_1|2]), (157,266,[4_1|2]), (157,275,[3_1|2]), (157,284,[3_1|2]), (157,293,[3_1|2]), (157,302,[4_1|2]), (158,159,[5_1|2]), (159,160,[1_1|2]), (160,161,[4_1|2]), (161,162,[4_1|2]), (162,163,[1_1|2]), (163,164,[3_1|2]), (164,165,[1_1|2]), (165,166,[5_1|2]), (165,392,[2_1|2]), (165,401,[4_1|2]), (165,410,[5_1|2]), (166,139,[3_1|2]), (166,140,[3_1|2]), (166,167,[3_1|2]), (166,230,[3_1|2]), (166,239,[3_1|2]), (166,248,[3_1|2]), (166,275,[3_1|2]), (166,284,[3_1|2]), (166,293,[3_1|2]), (166,320,[3_1|2]), (166,374,[3_1|2]), (166,437,[3_1|2]), (166,500,[3_1|2]), (166,599,[3_1|2]), (166,537,[3_1|2]), (166,564,[3_1|2]), (166,203,[0_1|2]), (166,212,[4_1|2]), (166,221,[4_1|2]), (166,257,[4_1|2]), (166,266,[4_1|2]), (166,302,[4_1|2]), (167,168,[1_1|2]), (168,169,[3_1|2]), (169,170,[4_1|2]), (170,171,[4_1|2]), (171,172,[3_1|2]), (172,173,[4_1|2]), (173,174,[3_1|2]), (173,302,[4_1|2]), (174,175,[3_1|2]), (174,293,[3_1|2]), (175,139,[5_1|2]), (175,311,[5_1|2]), (175,410,[5_1|2]), (175,419,[5_1|2]), (175,276,[5_1|2]), (175,375,[5_1|2]), (175,365,[0_1|2]), (175,374,[3_1|2]), (175,383,[2_1|2]), (175,392,[2_1|2]), (175,401,[4_1|2]), (175,428,[2_1|2]), (175,437,[3_1|2]), (175,446,[4_1|2]), (175,455,[1_1|2]), (175,464,[0_1|2]), (175,473,[4_1|2]), (176,177,[0_1|2]), (177,178,[3_1|2]), (178,179,[3_1|2]), (179,180,[4_1|2]), (180,181,[4_1|2]), (181,182,[3_1|2]), (182,183,[0_1|2]), (183,184,[0_1|2]), (183,185,[0_1|2]), (184,139,[5_1|2]), (184,140,[5_1|2]), (184,167,[5_1|2]), (184,230,[5_1|2]), (184,239,[5_1|2]), (184,248,[5_1|2]), (184,275,[5_1|2]), (184,284,[5_1|2]), (184,293,[5_1|2]), (184,320,[5_1|2]), (184,374,[5_1|2, 3_1|2]), (184,437,[5_1|2, 3_1|2]), (184,500,[5_1|2]), (184,599,[5_1|2]), (184,365,[0_1|2]), (184,383,[2_1|2]), (184,392,[2_1|2]), (184,401,[4_1|2]), (184,410,[5_1|2]), (184,419,[5_1|2]), (184,428,[2_1|2]), (184,446,[4_1|2]), (184,455,[1_1|2]), (184,464,[0_1|2]), (184,473,[4_1|2]), (185,186,[0_1|2]), (186,187,[0_1|2]), (187,188,[3_1|2]), (188,189,[1_1|2]), (189,190,[3_1|2]), (190,191,[3_1|2]), (191,192,[1_1|2]), (192,193,[3_1|2]), (192,266,[4_1|2]), (193,139,[0_1|2]), (193,149,[0_1|2]), (193,158,[0_1|2]), (193,176,[0_1|2]), (193,185,[0_1|2]), (193,194,[0_1|2]), (193,203,[0_1|2]), (193,329,[0_1|2]), (193,347,[0_1|2]), (193,356,[0_1|2]), (193,365,[0_1|2]), (193,464,[0_1|2]), (193,491,[0_1|2]), (193,140,[3_1|2]), (193,167,[3_1|2]), (194,195,[0_1|2]), (195,196,[4_1|2]), (196,197,[5_1|2]), (197,198,[3_1|2]), (198,199,[4_1|2]), (199,200,[2_1|2]), (200,201,[3_1|2]), (201,202,[3_1|2]), (201,203,[0_1|2]), (201,212,[4_1|2]), (201,221,[4_1|2]), (201,230,[3_1|2]), (201,239,[3_1|2]), (201,248,[3_1|2]), (201,257,[4_1|2]), (201,608,[0_1|3]), (202,139,[2_1|2]), (202,383,[2_1|2]), (202,392,[2_1|2]), (202,428,[2_1|2]), (202,527,[2_1|2]), (202,536,[2_1|2]), (202,563,[2_1|2]), (202,384,[2_1|2]), (202,482,[1_1|2]), (202,491,[0_1|2]), (202,500,[3_1|2]), (202,509,[4_1|2]), (202,518,[4_1|2]), (202,545,[1_1|2]), (202,554,[4_1|2]), (203,204,[3_1|2]), (204,205,[2_1|2]), (205,206,[4_1|2]), (206,207,[4_1|2]), (207,208,[4_1|2]), (208,209,[1_1|2]), (209,210,[3_1|2]), (210,211,[5_1|2]), (210,392,[2_1|2]), (210,401,[4_1|2]), (210,410,[5_1|2]), (211,139,[3_1|2]), (211,383,[3_1|2]), (211,392,[3_1|2]), (211,428,[3_1|2]), (211,527,[3_1|2]), (211,536,[3_1|2]), (211,563,[3_1|2]), (211,384,[3_1|2]), (211,203,[0_1|2]), (211,212,[4_1|2]), (211,221,[4_1|2]), (211,230,[3_1|2]), (211,239,[3_1|2]), (211,248,[3_1|2]), (211,257,[4_1|2]), (211,266,[4_1|2]), (211,275,[3_1|2]), (211,284,[3_1|2]), (211,293,[3_1|2]), (211,302,[4_1|2]), (212,213,[1_1|2]), (213,214,[3_1|2]), (214,215,[3_1|2]), (215,216,[4_1|2]), (216,217,[0_1|2]), (217,218,[4_1|2]), (218,219,[3_1|2]), (219,220,[3_1|2]), (219,266,[4_1|2]), (220,139,[0_1|2]), (220,149,[0_1|2]), (220,158,[0_1|2]), (220,176,[0_1|2]), (220,185,[0_1|2]), (220,194,[0_1|2]), (220,203,[0_1|2]), (220,329,[0_1|2]), (220,347,[0_1|2]), (220,356,[0_1|2]), (220,365,[0_1|2]), (220,464,[0_1|2]), (220,491,[0_1|2]), (220,140,[3_1|2]), (220,167,[3_1|2]), (221,222,[4_1|2]), (222,223,[4_1|2]), (223,224,[5_1|2]), (224,225,[4_1|2]), (225,226,[2_1|2]), (226,227,[0_1|2]), (227,228,[3_1|2]), (228,229,[4_1|2]), (229,139,[2_1|2]), (229,383,[2_1|2]), (229,392,[2_1|2]), (229,428,[2_1|2]), (229,527,[2_1|2]), (229,536,[2_1|2]), (229,563,[2_1|2]), (229,384,[2_1|2]), (229,482,[1_1|2]), (229,491,[0_1|2]), (229,500,[3_1|2]), (229,509,[4_1|2]), (229,518,[4_1|2]), (229,545,[1_1|2]), (229,554,[4_1|2]), (230,231,[4_1|2]), (231,232,[4_1|2]), (232,233,[0_1|2]), (233,234,[2_1|2]), (234,235,[1_1|2]), (235,236,[3_1|2]), (236,237,[5_1|2]), (236,392,[2_1|2]), (236,617,[2_1|3]), (237,238,[3_1|2]), (237,266,[4_1|2]), (238,139,[0_1|2]), (238,149,[0_1|2]), (238,158,[0_1|2]), (238,176,[0_1|2]), (238,185,[0_1|2]), (238,194,[0_1|2]), (238,203,[0_1|2]), (238,329,[0_1|2]), (238,347,[0_1|2]), (238,356,[0_1|2]), (238,365,[0_1|2]), (238,464,[0_1|2]), (238,491,[0_1|2]), (238,140,[3_1|2]), (238,167,[3_1|2]), (239,240,[0_1|2]), (240,241,[0_1|2]), (241,242,[0_1|2]), (242,243,[3_1|2]), (243,244,[2_1|2]), (244,245,[4_1|2]), (245,246,[3_1|2]), (245,284,[3_1|2]), (246,247,[4_1|2]), (247,139,[5_1|2]), (247,311,[5_1|2]), (247,410,[5_1|2]), (247,419,[5_1|2]), (247,258,[5_1|2]), (247,402,[5_1|2]), (247,365,[0_1|2]), (247,374,[3_1|2]), (247,383,[2_1|2]), (247,392,[2_1|2]), (247,401,[4_1|2]), (247,428,[2_1|2]), (247,437,[3_1|2]), (247,446,[4_1|2]), (247,455,[1_1|2]), (247,464,[0_1|2]), (247,473,[4_1|2]), (248,249,[1_1|2]), (249,250,[0_1|2]), (250,251,[5_1|2]), (251,252,[0_1|2]), (252,253,[3_1|2]), (253,254,[2_1|2]), (254,255,[4_1|2]), (255,256,[3_1|2]), (255,302,[4_1|2]), (256,139,[3_1|2]), (256,140,[3_1|2]), (256,167,[3_1|2]), (256,230,[3_1|2]), (256,239,[3_1|2]), (256,248,[3_1|2]), (256,275,[3_1|2]), (256,284,[3_1|2]), (256,293,[3_1|2]), (256,320,[3_1|2]), (256,374,[3_1|2]), (256,437,[3_1|2]), (256,500,[3_1|2]), (256,599,[3_1|2]), (256,537,[3_1|2]), (256,564,[3_1|2]), (256,203,[0_1|2]), (256,212,[4_1|2]), (256,221,[4_1|2]), (256,257,[4_1|2]), (256,266,[4_1|2]), (256,302,[4_1|2]), (257,258,[5_1|2]), 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(490,203,[0_1|2]), (490,212,[4_1|2]), (490,221,[4_1|2]), (490,257,[4_1|2]), (490,266,[4_1|2]), (490,302,[4_1|2]), (491,492,[0_1|2]), (492,493,[3_1|2]), (493,494,[4_1|2]), (494,495,[5_1|2]), (495,496,[4_1|2]), (496,497,[5_1|2]), (496,392,[2_1|2]), (496,635,[2_1|3]), (497,498,[3_1|2]), (498,499,[0_1|2]), (499,139,[1_1|2]), (499,338,[1_1|2]), (499,455,[1_1|2]), (499,482,[1_1|2]), (499,545,[1_1|2]), (499,581,[1_1|2]), (499,311,[5_1|2]), (499,320,[3_1|2]), (499,329,[0_1|2]), (499,347,[0_1|2]), (499,356,[0_1|2]), (500,501,[4_1|2]), (501,502,[0_1|2]), (502,503,[0_1|2]), (503,504,[3_1|2]), (504,505,[1_1|2]), (505,506,[3_1|2]), (506,507,[0_1|2]), (507,508,[2_1|2]), (507,509,[4_1|2]), (507,518,[4_1|2]), (508,139,[5_1|2]), (508,311,[5_1|2]), (508,410,[5_1|2]), (508,419,[5_1|2]), (508,159,[5_1|2]), (508,348,[5_1|2]), (508,465,[5_1|2]), (508,365,[0_1|2]), (508,374,[3_1|2]), (508,383,[2_1|2]), (508,392,[2_1|2]), (508,401,[4_1|2]), (508,428,[2_1|2]), (508,437,[3_1|2]), (508,446,[4_1|2]), (508,455,[1_1|2]), (508,464,[0_1|2]), (508,473,[4_1|2]), (509,510,[1_1|2]), (510,511,[0_1|2]), (511,512,[3_1|2]), (512,513,[4_1|2]), (513,514,[3_1|2]), (514,515,[1_1|2]), (515,516,[5_1|2]), (515,392,[2_1|2]), (515,617,[2_1|3]), (516,517,[3_1|2]), (516,266,[4_1|2]), (517,139,[0_1|2]), (517,338,[0_1|2]), (517,455,[0_1|2]), (517,482,[0_1|2]), (517,545,[0_1|2]), (517,581,[0_1|2]), (517,357,[0_1|2]), (517,140,[3_1|2]), (517,149,[0_1|2]), (517,158,[0_1|2]), (517,167,[3_1|2]), (517,176,[0_1|2]), (517,185,[0_1|2]), (517,194,[0_1|2]), (518,519,[3_1|2]), (519,520,[4_1|2]), (520,521,[1_1|2]), (521,522,[3_1|2]), (522,523,[0_1|2]), (523,524,[4_1|2]), (524,525,[0_1|2]), (525,526,[4_1|2]), (526,139,[4_1|2]), (526,212,[4_1|2]), (526,221,[4_1|2]), (526,257,[4_1|2]), (526,266,[4_1|2]), (526,302,[4_1|2]), (526,401,[4_1|2]), (526,446,[4_1|2]), (526,473,[4_1|2]), (526,509,[4_1|2]), (526,518,[4_1|2]), (526,554,[4_1|2]), (526,572,[4_1|2]), (526,590,[4_1|2]), (526,393,[4_1|2]), (526,429,[4_1|2]), (526,563,[2_1|2]), (526,581,[1_1|2]), (526,599,[3_1|2]), (527,528,[1_1|2]), (528,529,[1_1|2]), (529,530,[4_1|2]), (530,531,[4_1|2]), (531,532,[5_1|2]), (532,533,[4_1|2]), (533,534,[4_1|2]), (534,535,[4_1|2]), (535,139,[4_1|2]), (535,212,[4_1|2]), (535,221,[4_1|2]), (535,257,[4_1|2]), (535,266,[4_1|2]), (535,302,[4_1|2]), (535,401,[4_1|2]), (535,446,[4_1|2]), (535,473,[4_1|2]), (535,509,[4_1|2]), (535,518,[4_1|2]), (535,554,[4_1|2]), (535,572,[4_1|2]), (535,590,[4_1|2]), (535,393,[4_1|2]), (535,429,[4_1|2]), (535,385,[4_1|2]), (535,563,[2_1|2]), (535,581,[1_1|2]), (535,599,[3_1|2]), (536,537,[3_1|2]), (537,538,[1_1|2]), (538,539,[0_1|2]), (539,540,[5_1|2]), (540,541,[1_1|2]), (541,542,[0_1|2]), (542,543,[3_1|2]), (543,544,[1_1|2]), (543,338,[1_1|2]), (544,139,[3_1|2]), (544,140,[3_1|2]), (544,167,[3_1|2]), (544,230,[3_1|2]), (544,239,[3_1|2]), (544,248,[3_1|2]), (544,275,[3_1|2]), (544,284,[3_1|2]), (544,293,[3_1|2]), (544,320,[3_1|2]), (544,374,[3_1|2]), (544,437,[3_1|2]), (544,500,[3_1|2]), (544,599,[3_1|2]), (544,339,[3_1|2]), (544,483,[3_1|2]), (544,546,[3_1|2]), (544,582,[3_1|2]), (544,203,[0_1|2]), (544,212,[4_1|2]), (544,221,[4_1|2]), (544,257,[4_1|2]), (544,266,[4_1|2]), (544,302,[4_1|2]), (545,546,[3_1|2]), (546,547,[0_1|2]), (547,548,[4_1|2]), (548,549,[5_1|2]), (549,550,[4_1|2]), (550,551,[4_1|2]), (551,552,[0_1|2]), (551,176,[0_1|2]), (552,553,[3_1|2]), (552,266,[4_1|2]), (553,139,[0_1|2]), (553,149,[0_1|2]), (553,158,[0_1|2]), (553,176,[0_1|2]), (553,185,[0_1|2]), (553,194,[0_1|2]), (553,203,[0_1|2]), (553,329,[0_1|2]), (553,347,[0_1|2]), (553,356,[0_1|2]), (553,365,[0_1|2]), (553,464,[0_1|2]), (553,491,[0_1|2]), (553,140,[3_1|2]), (553,167,[3_1|2]), (554,555,[4_1|2]), (555,556,[3_1|2]), (556,557,[1_1|2]), (557,558,[3_1|2]), (558,559,[4_1|2]), (559,560,[0_1|2]), (559,185,[0_1|2]), (560,561,[5_1|2]), (561,562,[1_1|2]), (562,139,[1_1|2]), (562,149,[1_1|2]), (562,158,[1_1|2]), (562,176,[1_1|2]), (562,185,[1_1|2]), (562,194,[1_1|2]), (562,203,[1_1|2]), (562,329,[1_1|2, 0_1|2]), (562,347,[1_1|2, 0_1|2]), (562,356,[1_1|2, 0_1|2]), (562,365,[1_1|2]), (562,464,[1_1|2]), (562,491,[1_1|2]), (562,311,[5_1|2]), (562,320,[3_1|2]), (562,338,[1_1|2]), (563,564,[3_1|2]), (564,565,[0_1|2]), (565,566,[3_1|2]), (566,567,[3_1|2]), (567,568,[4_1|2]), (568,569,[1_1|2]), (569,570,[3_1|2]), (570,571,[1_1|2]), (570,311,[5_1|2]), (570,320,[3_1|2]), (570,626,[5_1|3]), (571,139,[4_1|2]), (571,212,[4_1|2]), (571,221,[4_1|2]), (571,257,[4_1|2]), (571,266,[4_1|2]), (571,302,[4_1|2]), (571,401,[4_1|2]), (571,446,[4_1|2]), (571,473,[4_1|2]), (571,509,[4_1|2]), (571,518,[4_1|2]), (571,554,[4_1|2]), (571,572,[4_1|2]), (571,590,[4_1|2]), (571,456,[4_1|2]), (571,563,[2_1|2]), (571,581,[1_1|2]), (571,599,[3_1|2]), (572,573,[1_1|2]), (573,574,[4_1|2]), (574,575,[1_1|2]), (575,576,[3_1|2]), (576,577,[3_1|2]), (577,578,[1_1|2]), (578,579,[4_1|2]), (579,580,[1_1|2]), (579,311,[5_1|2]), (579,320,[3_1|2]), (579,626,[5_1|3]), (580,139,[4_1|2]), (580,212,[4_1|2]), (580,221,[4_1|2]), (580,257,[4_1|2]), (580,266,[4_1|2]), (580,302,[4_1|2]), (580,401,[4_1|2]), (580,446,[4_1|2]), (580,473,[4_1|2]), (580,509,[4_1|2]), (580,518,[4_1|2]), (580,554,[4_1|2]), (580,572,[4_1|2]), (580,590,[4_1|2]), (580,393,[4_1|2]), (580,429,[4_1|2]), (580,563,[2_1|2]), (580,581,[1_1|2]), (580,599,[3_1|2]), (581,582,[3_1|2]), (582,583,[1_1|2]), (583,584,[0_1|2]), (584,585,[0_1|2]), (585,586,[0_1|2]), (586,587,[3_1|2]), (587,588,[4_1|2]), (588,589,[4_1|2]), (589,139,[4_1|2]), (589,212,[4_1|2]), (589,221,[4_1|2]), (589,257,[4_1|2]), (589,266,[4_1|2]), (589,302,[4_1|2]), (589,401,[4_1|2]), (589,446,[4_1|2]), (589,473,[4_1|2]), (589,509,[4_1|2]), (589,518,[4_1|2]), (589,554,[4_1|2]), (589,572,[4_1|2]), (589,590,[4_1|2]), (589,312,[4_1|2]), (589,411,[4_1|2]), (589,420,[4_1|2]), (589,563,[2_1|2]), (589,581,[1_1|2]), (589,599,[3_1|2]), (590,591,[3_1|2]), (591,592,[4_1|2]), (592,593,[5_1|2]), (593,594,[3_1|2]), (594,595,[1_1|2]), (595,596,[4_1|2]), (596,597,[4_1|2]), (597,598,[2_1|2]), (597,545,[1_1|2]), (597,554,[4_1|2]), (598,139,[4_1|2]), (598,212,[4_1|2]), (598,221,[4_1|2]), (598,257,[4_1|2]), (598,266,[4_1|2]), (598,302,[4_1|2]), (598,401,[4_1|2]), (598,446,[4_1|2]), (598,473,[4_1|2]), (598,509,[4_1|2]), (598,518,[4_1|2]), (598,554,[4_1|2]), (598,572,[4_1|2]), (598,590,[4_1|2]), (598,222,[4_1|2]), (598,267,[4_1|2]), (598,303,[4_1|2]), (598,555,[4_1|2]), (598,313,[4_1|2]), (598,421,[4_1|2]), (598,563,[2_1|2]), (598,581,[1_1|2]), (598,599,[3_1|2]), (599,600,[4_1|2]), (600,601,[5_1|2]), (601,602,[3_1|2]), (602,603,[1_1|2]), (603,604,[1_1|2]), (604,605,[4_1|2]), (605,606,[4_1|2]), (606,607,[0_1|2]), (606,185,[0_1|2]), (607,139,[5_1|2]), (607,383,[5_1|2, 2_1|2]), (607,392,[5_1|2, 2_1|2]), (607,428,[5_1|2, 2_1|2]), (607,527,[5_1|2]), (607,536,[5_1|2]), (607,563,[5_1|2]), (607,384,[5_1|2]), (607,365,[0_1|2]), (607,374,[3_1|2]), (607,401,[4_1|2]), (607,410,[5_1|2]), (607,419,[5_1|2]), (607,437,[3_1|2]), (607,446,[4_1|2]), (607,455,[1_1|2]), (607,464,[0_1|2]), (607,473,[4_1|2]), (608,609,[3_1|3]), (609,610,[2_1|3]), (610,611,[4_1|3]), (611,612,[4_1|3]), (612,613,[4_1|3]), (613,614,[1_1|3]), (614,615,[3_1|3]), (615,616,[5_1|3]), (616,384,[3_1|3]), (617,618,[4_1|3]), (618,619,[4_1|3]), (619,620,[1_1|3]), (620,621,[4_1|3]), (621,622,[4_1|3]), (622,623,[3_1|3]), (623,624,[1_1|3]), (624,625,[3_1|3]), (625,484,[3_1|3]), (626,627,[4_1|3]), (627,628,[4_1|3]), (628,629,[4_1|3]), (629,630,[5_1|3]), (630,631,[4_1|3]), (631,632,[3_1|3]), (632,633,[3_1|3]), (633,634,[3_1|3]), (634,160,[0_1|3]), (634,349,[0_1|3]), (635,636,[4_1|3]), (636,637,[4_1|3]), (637,638,[1_1|3]), (638,639,[4_1|3]), (639,640,[4_1|3]), (640,641,[3_1|3]), (641,642,[1_1|3]), (642,643,[3_1|3]), (643,294,[3_1|3]), (643,438,[3_1|3]), (643,484,[3_1|3])}" ---------------------------------------- (8) BOUNDS(1, n^1)