WORST_CASE(?, O(n^1)) proof of /export/starexec/sandbox2/benchmark/theBenchmark.xml # AProVE Commit ID: 794c25de1cacf0d048858bcd21c9a779e1221865 marcel 20200619 unpublished dirty The Derivational Complexity (innermost) of the given DCpxTrs could be proven to be BOUNDS(1, n^1). (0) DCpxTrs (1) DerivationalComplexityToRuntimeComplexityProof [BOTH BOUNDS(ID, ID), 0 ms] (2) CpxRelTRS (3) SInnermostTerminationProof [BOTH CONCRETE BOUNDS(ID, ID), 77 ms] (4) CpxRelTRS (5) RelTrsToTrsProof [UPPER BOUND(ID), 0 ms] (6) CpxTRS (7) CpxTrsMatchBoundsProof [FINISHED, 261 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: 3(3(0(x1))) -> 1(4(1(4(5(4(3(4(1(5(x1)))))))))) 3(3(3(x1))) -> 1(1(3(3(1(1(1(0(1(5(x1)))))))))) 0(4(3(0(x1)))) -> 3(1(2(5(5(2(1(5(1(0(x1)))))))))) 2(4(0(3(x1)))) -> 2(5(2(5(2(5(1(1(2(0(x1)))))))))) 3(0(0(0(x1)))) -> 3(3(1(0(1(5(4(5(2(4(x1)))))))))) 3(3(0(2(x1)))) -> 3(3(4(1(0(4(3(1(1(5(x1)))))))))) 3(3(0(5(x1)))) -> 1(3(2(5(0(1(1(5(0(5(x1)))))))))) 5(4(3(0(x1)))) -> 1(2(5(2(4(1(4(4(2(4(x1)))))))))) 0(2(4(3(2(x1))))) -> 0(2(2(3(1(2(0(0(4(1(x1)))))))))) 0(5(4(3(2(x1))))) -> 3(1(5(5(0(1(5(2(0(2(x1)))))))))) 2(0(3(5(5(x1))))) -> 1(5(4(2(1(0(2(2(4(5(x1)))))))))) 3(3(3(3(0(x1))))) -> 1(3(0(0(0(4(0(4(1(0(x1)))))))))) 3(3(5(5(5(x1))))) -> 4(1(2(0(5(1(2(3(1(3(x1)))))))))) 4(5(3(5(3(x1))))) -> 4(3(1(5(1(2(4(2(1(3(x1)))))))))) 5(2(4(3(0(x1))))) -> 2(4(2(5(4(0(1(1(0(1(x1)))))))))) 5(3(3(2(2(x1))))) -> 2(5(1(4(0(3(1(0(1(5(x1)))))))))) 0(0(3(2(0(3(x1)))))) -> 1(2(5(4(5(4(2(5(1(3(x1)))))))))) 0(2(2(2(3(0(x1)))))) -> 0(2(5(4(5(1(5(4(4(2(x1)))))))))) 0(3(0(3(3(5(x1)))))) -> 0(3(2(4(2(3(5(1(5(0(x1)))))))))) 0(4(3(0(3(3(x1)))))) -> 0(0(1(3(5(4(1(5(5(5(x1)))))))))) 0(5(0(0(3(5(x1)))))) -> 1(3(0(3(1(3(5(1(3(5(x1)))))))))) 0(5(4(5(4(0(x1)))))) -> 0(2(1(2(5(4(5(1(5(5(x1)))))))))) 2(0(3(5(3(0(x1)))))) -> 2(4(5(2(0(1(2(2(3(1(x1)))))))))) 2(2(3(3(4(3(x1)))))) -> 5(2(5(4(5(5(1(3(1(4(x1)))))))))) 3(3(0(5(3(2(x1)))))) -> 3(5(5(4(1(0(5(1(0(4(x1)))))))))) 3(4(0(3(0(2(x1)))))) -> 3(2(0(1(1(3(4(1(1(2(x1)))))))))) 4(0(2(3(5(5(x1)))))) -> 5(1(2(1(1(1(1(0(2(4(x1)))))))))) 4(0(3(0(2(2(x1)))))) -> 4(1(1(5(2(0(5(4(1(1(x1)))))))))) 4(3(4(0(3(3(x1)))))) -> 1(5(2(4(2(4(2(4(0(3(x1)))))))))) 4(5(0(0(3(2(x1)))))) -> 4(4(2(1(1(5(2(5(0(2(x1)))))))))) 4(5(3(5(2(0(x1)))))) -> 5(0(2(5(5(5(4(5(0(1(x1)))))))))) 5(3(3(0(3(2(x1)))))) -> 2(5(4(1(5(3(4(2(5(1(x1)))))))))) 5(5(0(2(0(3(x1)))))) -> 4(1(5(4(4(5(0(2(5(3(x1)))))))))) 0(2(0(3(3(5(5(x1))))))) -> 3(2(2(5(4(4(3(3(1(4(x1)))))))))) 0(2(1(4(3(3(5(x1))))))) -> 0(5(5(1(0(5(3(1(1(4(x1)))))))))) 0(3(0(3(2(3(0(x1))))))) -> 2(3(0(0(4(1(3(1(1(2(x1)))))))))) 0(3(4(0(3(0(3(x1))))))) -> 0(4(1(1(5(1(0(3(5(3(x1)))))))))) 0(3(4(5(3(4(4(x1))))))) -> 2(3(5(0(1(0(1(4(5(0(x1)))))))))) 0(4(3(0(3(3(2(x1))))))) -> 3(1(4(5(3(4(1(1(0(2(x1)))))))))) 0(5(1(0(3(3(2(x1))))))) -> 2(0(4(5(1(1(4(5(5(1(x1)))))))))) 0(5(3(2(2(4(5(x1))))))) -> 0(0(0(1(3(1(1(0(5(3(x1)))))))))) 2(2(3(3(3(3(5(x1))))))) -> 2(2(3(5(4(5(5(1(2(5(x1)))))))))) 2(2(3(5(5(0(0(x1))))))) -> 1(5(3(2(2(3(5(4(3(1(x1)))))))))) 2(4(3(2(3(3(2(x1))))))) -> 2(5(4(0(2(5(4(4(1(1(x1)))))))))) 3(3(0(4(3(0(5(x1))))))) -> 4(1(2(0(2(1(1(4(3(4(x1)))))))))) 3(3(5(2(4(3(2(x1))))))) -> 3(0(4(1(1(5(0(3(1(1(x1)))))))))) 3(3(5(5(4(2(2(x1))))))) -> 3(4(4(4(1(3(4(1(0(2(x1)))))))))) 4(2(3(0(3(3(2(x1))))))) -> 5(5(0(4(1(1(0(4(5(2(x1)))))))))) 4(2(3(3(5(1(3(x1))))))) -> 0(2(5(5(2(4(1(0(2(3(x1)))))))))) 5(0(4(5(4(3(0(x1))))))) -> 5(1(0(1(1(3(4(0(2(5(x1)))))))))) 5(3(2(4(3(1(5(x1))))))) -> 3(2(3(3(1(5(1(2(1(5(x1)))))))))) 5(3(3(3(0(3(0(x1))))))) -> 3(5(3(0(1(3(0(4(1(0(x1)))))))))) 5(3(3(5(0(4(3(x1))))))) -> 1(2(0(1(3(5(3(4(1(4(x1)))))))))) 5(5(0(3(4(3(3(x1))))))) -> 1(5(5(0(5(0(1(5(5(3(x1)))))))))) S is empty. Rewrite Strategy: INNERMOST ---------------------------------------- (1) DerivationalComplexityToRuntimeComplexityProof (BOTH BOUNDS(ID, ID)) The following rules have been added to S to convert the given derivational complexity problem to a runtime complexity problem: encArg(1(x_1)) -> 1(encArg(x_1)) encArg(cons_3(x_1)) -> 3(encArg(x_1)) encArg(cons_0(x_1)) -> 0(encArg(x_1)) encArg(cons_2(x_1)) -> 2(encArg(x_1)) encArg(cons_5(x_1)) -> 5(encArg(x_1)) encArg(cons_4(x_1)) -> 4(encArg(x_1)) encode_3(x_1) -> 3(encArg(x_1)) encode_0(x_1) -> 0(encArg(x_1)) encode_1(x_1) -> 1(encArg(x_1)) encode_4(x_1) -> 4(encArg(x_1)) encode_5(x_1) -> 5(encArg(x_1)) encode_2(x_1) -> 2(encArg(x_1)) ---------------------------------------- (2) Obligation: The Runtime Complexity (innermost) of the given CpxRelTRS could be proven to be BOUNDS(1, n^1). The TRS R consists of the following rules: 3(3(0(x1))) -> 1(4(1(4(5(4(3(4(1(5(x1)))))))))) 3(3(3(x1))) -> 1(1(3(3(1(1(1(0(1(5(x1)))))))))) 0(4(3(0(x1)))) -> 3(1(2(5(5(2(1(5(1(0(x1)))))))))) 2(4(0(3(x1)))) -> 2(5(2(5(2(5(1(1(2(0(x1)))))))))) 3(0(0(0(x1)))) -> 3(3(1(0(1(5(4(5(2(4(x1)))))))))) 3(3(0(2(x1)))) -> 3(3(4(1(0(4(3(1(1(5(x1)))))))))) 3(3(0(5(x1)))) -> 1(3(2(5(0(1(1(5(0(5(x1)))))))))) 5(4(3(0(x1)))) -> 1(2(5(2(4(1(4(4(2(4(x1)))))))))) 0(2(4(3(2(x1))))) -> 0(2(2(3(1(2(0(0(4(1(x1)))))))))) 0(5(4(3(2(x1))))) -> 3(1(5(5(0(1(5(2(0(2(x1)))))))))) 2(0(3(5(5(x1))))) -> 1(5(4(2(1(0(2(2(4(5(x1)))))))))) 3(3(3(3(0(x1))))) -> 1(3(0(0(0(4(0(4(1(0(x1)))))))))) 3(3(5(5(5(x1))))) -> 4(1(2(0(5(1(2(3(1(3(x1)))))))))) 4(5(3(5(3(x1))))) -> 4(3(1(5(1(2(4(2(1(3(x1)))))))))) 5(2(4(3(0(x1))))) -> 2(4(2(5(4(0(1(1(0(1(x1)))))))))) 5(3(3(2(2(x1))))) -> 2(5(1(4(0(3(1(0(1(5(x1)))))))))) 0(0(3(2(0(3(x1)))))) -> 1(2(5(4(5(4(2(5(1(3(x1)))))))))) 0(2(2(2(3(0(x1)))))) -> 0(2(5(4(5(1(5(4(4(2(x1)))))))))) 0(3(0(3(3(5(x1)))))) -> 0(3(2(4(2(3(5(1(5(0(x1)))))))))) 0(4(3(0(3(3(x1)))))) -> 0(0(1(3(5(4(1(5(5(5(x1)))))))))) 0(5(0(0(3(5(x1)))))) -> 1(3(0(3(1(3(5(1(3(5(x1)))))))))) 0(5(4(5(4(0(x1)))))) -> 0(2(1(2(5(4(5(1(5(5(x1)))))))))) 2(0(3(5(3(0(x1)))))) -> 2(4(5(2(0(1(2(2(3(1(x1)))))))))) 2(2(3(3(4(3(x1)))))) -> 5(2(5(4(5(5(1(3(1(4(x1)))))))))) 3(3(0(5(3(2(x1)))))) -> 3(5(5(4(1(0(5(1(0(4(x1)))))))))) 3(4(0(3(0(2(x1)))))) -> 3(2(0(1(1(3(4(1(1(2(x1)))))))))) 4(0(2(3(5(5(x1)))))) -> 5(1(2(1(1(1(1(0(2(4(x1)))))))))) 4(0(3(0(2(2(x1)))))) -> 4(1(1(5(2(0(5(4(1(1(x1)))))))))) 4(3(4(0(3(3(x1)))))) -> 1(5(2(4(2(4(2(4(0(3(x1)))))))))) 4(5(0(0(3(2(x1)))))) -> 4(4(2(1(1(5(2(5(0(2(x1)))))))))) 4(5(3(5(2(0(x1)))))) -> 5(0(2(5(5(5(4(5(0(1(x1)))))))))) 5(3(3(0(3(2(x1)))))) -> 2(5(4(1(5(3(4(2(5(1(x1)))))))))) 5(5(0(2(0(3(x1)))))) -> 4(1(5(4(4(5(0(2(5(3(x1)))))))))) 0(2(0(3(3(5(5(x1))))))) -> 3(2(2(5(4(4(3(3(1(4(x1)))))))))) 0(2(1(4(3(3(5(x1))))))) -> 0(5(5(1(0(5(3(1(1(4(x1)))))))))) 0(3(0(3(2(3(0(x1))))))) -> 2(3(0(0(4(1(3(1(1(2(x1)))))))))) 0(3(4(0(3(0(3(x1))))))) -> 0(4(1(1(5(1(0(3(5(3(x1)))))))))) 0(3(4(5(3(4(4(x1))))))) -> 2(3(5(0(1(0(1(4(5(0(x1)))))))))) 0(4(3(0(3(3(2(x1))))))) -> 3(1(4(5(3(4(1(1(0(2(x1)))))))))) 0(5(1(0(3(3(2(x1))))))) -> 2(0(4(5(1(1(4(5(5(1(x1)))))))))) 0(5(3(2(2(4(5(x1))))))) -> 0(0(0(1(3(1(1(0(5(3(x1)))))))))) 2(2(3(3(3(3(5(x1))))))) -> 2(2(3(5(4(5(5(1(2(5(x1)))))))))) 2(2(3(5(5(0(0(x1))))))) -> 1(5(3(2(2(3(5(4(3(1(x1)))))))))) 2(4(3(2(3(3(2(x1))))))) -> 2(5(4(0(2(5(4(4(1(1(x1)))))))))) 3(3(0(4(3(0(5(x1))))))) -> 4(1(2(0(2(1(1(4(3(4(x1)))))))))) 3(3(5(2(4(3(2(x1))))))) -> 3(0(4(1(1(5(0(3(1(1(x1)))))))))) 3(3(5(5(4(2(2(x1))))))) -> 3(4(4(4(1(3(4(1(0(2(x1)))))))))) 4(2(3(0(3(3(2(x1))))))) -> 5(5(0(4(1(1(0(4(5(2(x1)))))))))) 4(2(3(3(5(1(3(x1))))))) -> 0(2(5(5(2(4(1(0(2(3(x1)))))))))) 5(0(4(5(4(3(0(x1))))))) -> 5(1(0(1(1(3(4(0(2(5(x1)))))))))) 5(3(2(4(3(1(5(x1))))))) -> 3(2(3(3(1(5(1(2(1(5(x1)))))))))) 5(3(3(3(0(3(0(x1))))))) -> 3(5(3(0(1(3(0(4(1(0(x1)))))))))) 5(3(3(5(0(4(3(x1))))))) -> 1(2(0(1(3(5(3(4(1(4(x1)))))))))) 5(5(0(3(4(3(3(x1))))))) -> 1(5(5(0(5(0(1(5(5(3(x1)))))))))) The (relative) TRS S consists of the following rules: encArg(1(x_1)) -> 1(encArg(x_1)) encArg(cons_3(x_1)) -> 3(encArg(x_1)) encArg(cons_0(x_1)) -> 0(encArg(x_1)) encArg(cons_2(x_1)) -> 2(encArg(x_1)) encArg(cons_5(x_1)) -> 5(encArg(x_1)) encArg(cons_4(x_1)) -> 4(encArg(x_1)) encode_3(x_1) -> 3(encArg(x_1)) encode_0(x_1) -> 0(encArg(x_1)) encode_1(x_1) -> 1(encArg(x_1)) encode_4(x_1) -> 4(encArg(x_1)) encode_5(x_1) -> 5(encArg(x_1)) encode_2(x_1) -> 2(encArg(x_1)) Rewrite Strategy: INNERMOST ---------------------------------------- (3) SInnermostTerminationProof (BOTH CONCRETE BOUNDS(ID, ID)) proved innermost termination of relative rules ---------------------------------------- (4) Obligation: The Runtime Complexity (innermost) of the given CpxRelTRS could be proven to be BOUNDS(1, n^1). The TRS R consists of the following rules: 3(3(0(x1))) -> 1(4(1(4(5(4(3(4(1(5(x1)))))))))) 3(3(3(x1))) -> 1(1(3(3(1(1(1(0(1(5(x1)))))))))) 0(4(3(0(x1)))) -> 3(1(2(5(5(2(1(5(1(0(x1)))))))))) 2(4(0(3(x1)))) -> 2(5(2(5(2(5(1(1(2(0(x1)))))))))) 3(0(0(0(x1)))) -> 3(3(1(0(1(5(4(5(2(4(x1)))))))))) 3(3(0(2(x1)))) -> 3(3(4(1(0(4(3(1(1(5(x1)))))))))) 3(3(0(5(x1)))) -> 1(3(2(5(0(1(1(5(0(5(x1)))))))))) 5(4(3(0(x1)))) -> 1(2(5(2(4(1(4(4(2(4(x1)))))))))) 0(2(4(3(2(x1))))) -> 0(2(2(3(1(2(0(0(4(1(x1)))))))))) 0(5(4(3(2(x1))))) -> 3(1(5(5(0(1(5(2(0(2(x1)))))))))) 2(0(3(5(5(x1))))) -> 1(5(4(2(1(0(2(2(4(5(x1)))))))))) 3(3(3(3(0(x1))))) -> 1(3(0(0(0(4(0(4(1(0(x1)))))))))) 3(3(5(5(5(x1))))) -> 4(1(2(0(5(1(2(3(1(3(x1)))))))))) 4(5(3(5(3(x1))))) -> 4(3(1(5(1(2(4(2(1(3(x1)))))))))) 5(2(4(3(0(x1))))) -> 2(4(2(5(4(0(1(1(0(1(x1)))))))))) 5(3(3(2(2(x1))))) -> 2(5(1(4(0(3(1(0(1(5(x1)))))))))) 0(0(3(2(0(3(x1)))))) -> 1(2(5(4(5(4(2(5(1(3(x1)))))))))) 0(2(2(2(3(0(x1)))))) -> 0(2(5(4(5(1(5(4(4(2(x1)))))))))) 0(3(0(3(3(5(x1)))))) -> 0(3(2(4(2(3(5(1(5(0(x1)))))))))) 0(4(3(0(3(3(x1)))))) -> 0(0(1(3(5(4(1(5(5(5(x1)))))))))) 0(5(0(0(3(5(x1)))))) -> 1(3(0(3(1(3(5(1(3(5(x1)))))))))) 0(5(4(5(4(0(x1)))))) -> 0(2(1(2(5(4(5(1(5(5(x1)))))))))) 2(0(3(5(3(0(x1)))))) -> 2(4(5(2(0(1(2(2(3(1(x1)))))))))) 2(2(3(3(4(3(x1)))))) -> 5(2(5(4(5(5(1(3(1(4(x1)))))))))) 3(3(0(5(3(2(x1)))))) -> 3(5(5(4(1(0(5(1(0(4(x1)))))))))) 3(4(0(3(0(2(x1)))))) -> 3(2(0(1(1(3(4(1(1(2(x1)))))))))) 4(0(2(3(5(5(x1)))))) -> 5(1(2(1(1(1(1(0(2(4(x1)))))))))) 4(0(3(0(2(2(x1)))))) -> 4(1(1(5(2(0(5(4(1(1(x1)))))))))) 4(3(4(0(3(3(x1)))))) -> 1(5(2(4(2(4(2(4(0(3(x1)))))))))) 4(5(0(0(3(2(x1)))))) -> 4(4(2(1(1(5(2(5(0(2(x1)))))))))) 4(5(3(5(2(0(x1)))))) -> 5(0(2(5(5(5(4(5(0(1(x1)))))))))) 5(3(3(0(3(2(x1)))))) -> 2(5(4(1(5(3(4(2(5(1(x1)))))))))) 5(5(0(2(0(3(x1)))))) -> 4(1(5(4(4(5(0(2(5(3(x1)))))))))) 0(2(0(3(3(5(5(x1))))))) -> 3(2(2(5(4(4(3(3(1(4(x1)))))))))) 0(2(1(4(3(3(5(x1))))))) -> 0(5(5(1(0(5(3(1(1(4(x1)))))))))) 0(3(0(3(2(3(0(x1))))))) -> 2(3(0(0(4(1(3(1(1(2(x1)))))))))) 0(3(4(0(3(0(3(x1))))))) -> 0(4(1(1(5(1(0(3(5(3(x1)))))))))) 0(3(4(5(3(4(4(x1))))))) -> 2(3(5(0(1(0(1(4(5(0(x1)))))))))) 0(4(3(0(3(3(2(x1))))))) -> 3(1(4(5(3(4(1(1(0(2(x1)))))))))) 0(5(1(0(3(3(2(x1))))))) -> 2(0(4(5(1(1(4(5(5(1(x1)))))))))) 0(5(3(2(2(4(5(x1))))))) -> 0(0(0(1(3(1(1(0(5(3(x1)))))))))) 2(2(3(3(3(3(5(x1))))))) -> 2(2(3(5(4(5(5(1(2(5(x1)))))))))) 2(2(3(5(5(0(0(x1))))))) -> 1(5(3(2(2(3(5(4(3(1(x1)))))))))) 2(4(3(2(3(3(2(x1))))))) -> 2(5(4(0(2(5(4(4(1(1(x1)))))))))) 3(3(0(4(3(0(5(x1))))))) -> 4(1(2(0(2(1(1(4(3(4(x1)))))))))) 3(3(5(2(4(3(2(x1))))))) -> 3(0(4(1(1(5(0(3(1(1(x1)))))))))) 3(3(5(5(4(2(2(x1))))))) -> 3(4(4(4(1(3(4(1(0(2(x1)))))))))) 4(2(3(0(3(3(2(x1))))))) -> 5(5(0(4(1(1(0(4(5(2(x1)))))))))) 4(2(3(3(5(1(3(x1))))))) -> 0(2(5(5(2(4(1(0(2(3(x1)))))))))) 5(0(4(5(4(3(0(x1))))))) -> 5(1(0(1(1(3(4(0(2(5(x1)))))))))) 5(3(2(4(3(1(5(x1))))))) -> 3(2(3(3(1(5(1(2(1(5(x1)))))))))) 5(3(3(3(0(3(0(x1))))))) -> 3(5(3(0(1(3(0(4(1(0(x1)))))))))) 5(3(3(5(0(4(3(x1))))))) -> 1(2(0(1(3(5(3(4(1(4(x1)))))))))) 5(5(0(3(4(3(3(x1))))))) -> 1(5(5(0(5(0(1(5(5(3(x1)))))))))) The (relative) TRS S consists of the following rules: encArg(1(x_1)) -> 1(encArg(x_1)) encArg(cons_3(x_1)) -> 3(encArg(x_1)) encArg(cons_0(x_1)) -> 0(encArg(x_1)) encArg(cons_2(x_1)) -> 2(encArg(x_1)) encArg(cons_5(x_1)) -> 5(encArg(x_1)) encArg(cons_4(x_1)) -> 4(encArg(x_1)) encode_3(x_1) -> 3(encArg(x_1)) encode_0(x_1) -> 0(encArg(x_1)) encode_1(x_1) -> 1(encArg(x_1)) encode_4(x_1) -> 4(encArg(x_1)) encode_5(x_1) -> 5(encArg(x_1)) encode_2(x_1) -> 2(encArg(x_1)) Rewrite Strategy: INNERMOST ---------------------------------------- (5) RelTrsToTrsProof (UPPER BOUND(ID)) transformed relative TRS to TRS ---------------------------------------- (6) Obligation: The Runtime Complexity (innermost) of the given CpxTRS could be proven to be BOUNDS(1, n^1). The TRS R consists of the following rules: 3(3(0(x1))) -> 1(4(1(4(5(4(3(4(1(5(x1)))))))))) 3(3(3(x1))) -> 1(1(3(3(1(1(1(0(1(5(x1)))))))))) 0(4(3(0(x1)))) -> 3(1(2(5(5(2(1(5(1(0(x1)))))))))) 2(4(0(3(x1)))) -> 2(5(2(5(2(5(1(1(2(0(x1)))))))))) 3(0(0(0(x1)))) -> 3(3(1(0(1(5(4(5(2(4(x1)))))))))) 3(3(0(2(x1)))) -> 3(3(4(1(0(4(3(1(1(5(x1)))))))))) 3(3(0(5(x1)))) -> 1(3(2(5(0(1(1(5(0(5(x1)))))))))) 5(4(3(0(x1)))) -> 1(2(5(2(4(1(4(4(2(4(x1)))))))))) 0(2(4(3(2(x1))))) -> 0(2(2(3(1(2(0(0(4(1(x1)))))))))) 0(5(4(3(2(x1))))) -> 3(1(5(5(0(1(5(2(0(2(x1)))))))))) 2(0(3(5(5(x1))))) -> 1(5(4(2(1(0(2(2(4(5(x1)))))))))) 3(3(3(3(0(x1))))) -> 1(3(0(0(0(4(0(4(1(0(x1)))))))))) 3(3(5(5(5(x1))))) -> 4(1(2(0(5(1(2(3(1(3(x1)))))))))) 4(5(3(5(3(x1))))) -> 4(3(1(5(1(2(4(2(1(3(x1)))))))))) 5(2(4(3(0(x1))))) -> 2(4(2(5(4(0(1(1(0(1(x1)))))))))) 5(3(3(2(2(x1))))) -> 2(5(1(4(0(3(1(0(1(5(x1)))))))))) 0(0(3(2(0(3(x1)))))) -> 1(2(5(4(5(4(2(5(1(3(x1)))))))))) 0(2(2(2(3(0(x1)))))) -> 0(2(5(4(5(1(5(4(4(2(x1)))))))))) 0(3(0(3(3(5(x1)))))) -> 0(3(2(4(2(3(5(1(5(0(x1)))))))))) 0(4(3(0(3(3(x1)))))) -> 0(0(1(3(5(4(1(5(5(5(x1)))))))))) 0(5(0(0(3(5(x1)))))) -> 1(3(0(3(1(3(5(1(3(5(x1)))))))))) 0(5(4(5(4(0(x1)))))) -> 0(2(1(2(5(4(5(1(5(5(x1)))))))))) 2(0(3(5(3(0(x1)))))) -> 2(4(5(2(0(1(2(2(3(1(x1)))))))))) 2(2(3(3(4(3(x1)))))) -> 5(2(5(4(5(5(1(3(1(4(x1)))))))))) 3(3(0(5(3(2(x1)))))) -> 3(5(5(4(1(0(5(1(0(4(x1)))))))))) 3(4(0(3(0(2(x1)))))) -> 3(2(0(1(1(3(4(1(1(2(x1)))))))))) 4(0(2(3(5(5(x1)))))) -> 5(1(2(1(1(1(1(0(2(4(x1)))))))))) 4(0(3(0(2(2(x1)))))) -> 4(1(1(5(2(0(5(4(1(1(x1)))))))))) 4(3(4(0(3(3(x1)))))) -> 1(5(2(4(2(4(2(4(0(3(x1)))))))))) 4(5(0(0(3(2(x1)))))) -> 4(4(2(1(1(5(2(5(0(2(x1)))))))))) 4(5(3(5(2(0(x1)))))) -> 5(0(2(5(5(5(4(5(0(1(x1)))))))))) 5(3(3(0(3(2(x1)))))) -> 2(5(4(1(5(3(4(2(5(1(x1)))))))))) 5(5(0(2(0(3(x1)))))) -> 4(1(5(4(4(5(0(2(5(3(x1)))))))))) 0(2(0(3(3(5(5(x1))))))) -> 3(2(2(5(4(4(3(3(1(4(x1)))))))))) 0(2(1(4(3(3(5(x1))))))) -> 0(5(5(1(0(5(3(1(1(4(x1)))))))))) 0(3(0(3(2(3(0(x1))))))) -> 2(3(0(0(4(1(3(1(1(2(x1)))))))))) 0(3(4(0(3(0(3(x1))))))) -> 0(4(1(1(5(1(0(3(5(3(x1)))))))))) 0(3(4(5(3(4(4(x1))))))) -> 2(3(5(0(1(0(1(4(5(0(x1)))))))))) 0(4(3(0(3(3(2(x1))))))) -> 3(1(4(5(3(4(1(1(0(2(x1)))))))))) 0(5(1(0(3(3(2(x1))))))) -> 2(0(4(5(1(1(4(5(5(1(x1)))))))))) 0(5(3(2(2(4(5(x1))))))) -> 0(0(0(1(3(1(1(0(5(3(x1)))))))))) 2(2(3(3(3(3(5(x1))))))) -> 2(2(3(5(4(5(5(1(2(5(x1)))))))))) 2(2(3(5(5(0(0(x1))))))) -> 1(5(3(2(2(3(5(4(3(1(x1)))))))))) 2(4(3(2(3(3(2(x1))))))) -> 2(5(4(0(2(5(4(4(1(1(x1)))))))))) 3(3(0(4(3(0(5(x1))))))) -> 4(1(2(0(2(1(1(4(3(4(x1)))))))))) 3(3(5(2(4(3(2(x1))))))) -> 3(0(4(1(1(5(0(3(1(1(x1)))))))))) 3(3(5(5(4(2(2(x1))))))) -> 3(4(4(4(1(3(4(1(0(2(x1)))))))))) 4(2(3(0(3(3(2(x1))))))) -> 5(5(0(4(1(1(0(4(5(2(x1)))))))))) 4(2(3(3(5(1(3(x1))))))) -> 0(2(5(5(2(4(1(0(2(3(x1)))))))))) 5(0(4(5(4(3(0(x1))))))) -> 5(1(0(1(1(3(4(0(2(5(x1)))))))))) 5(3(2(4(3(1(5(x1))))))) -> 3(2(3(3(1(5(1(2(1(5(x1)))))))))) 5(3(3(3(0(3(0(x1))))))) -> 3(5(3(0(1(3(0(4(1(0(x1)))))))))) 5(3(3(5(0(4(3(x1))))))) -> 1(2(0(1(3(5(3(4(1(4(x1)))))))))) 5(5(0(3(4(3(3(x1))))))) -> 1(5(5(0(5(0(1(5(5(3(x1)))))))))) encArg(1(x_1)) -> 1(encArg(x_1)) encArg(cons_3(x_1)) -> 3(encArg(x_1)) encArg(cons_0(x_1)) -> 0(encArg(x_1)) encArg(cons_2(x_1)) -> 2(encArg(x_1)) encArg(cons_5(x_1)) -> 5(encArg(x_1)) encArg(cons_4(x_1)) -> 4(encArg(x_1)) encode_3(x_1) -> 3(encArg(x_1)) encode_0(x_1) -> 0(encArg(x_1)) encode_1(x_1) -> 1(encArg(x_1)) encode_4(x_1) -> 4(encArg(x_1)) encode_5(x_1) -> 5(encArg(x_1)) encode_2(x_1) -> 2(encArg(x_1)) S is empty. Rewrite Strategy: INNERMOST ---------------------------------------- (7) CpxTrsMatchBoundsProof (FINISHED) A linear upper bound on the runtime complexity of the TRS R could be shown with a Match Bound [MATCHBOUNDS1,MATCHBOUNDS2] of 3. The certificate found is represented by the following graph. "[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, 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, 644, 645, 646, 647, 648, 649, 650, 651, 652, 653, 654, 655, 656, 657, 658, 659, 660, 661, 662, 663, 664, 665, 666, 667, 668, 669, 670, 671, 672, 673, 674, 675, 676, 677, 678, 679, 680, 681, 682, 683, 684, 685, 686, 687, 688, 689, 690, 691, 692, 693, 694, 695, 696, 697, 698, 699, 700, 701, 702, 703, 704, 705, 706, 707, 708, 709, 710, 711, 712, 713, 714, 715, 716, 717, 718, 719, 720, 721, 722, 723, 724, 725, 726, 727, 728, 729, 730, 731, 732, 733, 734, 735, 736] {(113,114,[3_1|0, 0_1|0, 2_1|0, 5_1|0, 4_1|0, encArg_1|0, encode_3_1|0, encode_0_1|0, encode_1_1|0, encode_4_1|0, encode_5_1|0, encode_2_1|0]), (113,115,[1_1|1, 3_1|1, 0_1|1, 2_1|1, 5_1|1, 4_1|1]), (113,116,[1_1|2]), (113,125,[3_1|2]), (113,134,[1_1|2]), (113,143,[3_1|2]), (113,152,[4_1|2]), (113,161,[1_1|2]), (113,170,[1_1|2]), (113,179,[4_1|2]), (113,188,[3_1|2]), (113,197,[3_1|2]), (113,206,[3_1|2]), (113,215,[3_1|2]), (113,224,[3_1|2]), (113,233,[0_1|2]), (113,242,[3_1|2]), (113,251,[0_1|2]), (113,260,[0_1|2]), (113,269,[3_1|2]), (113,278,[0_1|2]), (113,287,[3_1|2]), (113,296,[0_1|2]), (113,305,[1_1|2]), (113,314,[2_1|2]), (113,323,[0_1|2]), (113,332,[1_1|2]), (113,341,[0_1|2]), (113,350,[2_1|2]), (113,359,[0_1|2]), (113,368,[2_1|2]), (113,377,[2_1|2]), (113,386,[2_1|2]), (113,395,[1_1|2]), (113,404,[2_1|2]), (113,413,[5_1|2]), (113,422,[2_1|2]), (113,431,[1_1|2]), (113,440,[1_1|2]), (113,449,[2_1|2]), (113,458,[2_1|2]), (113,467,[2_1|2]), (113,476,[3_1|2]), (113,485,[1_1|2]), (113,494,[3_1|2]), (113,503,[4_1|2]), (113,512,[1_1|2]), (113,521,[5_1|2]), (113,530,[4_1|2]), (113,539,[5_1|2]), (113,548,[4_1|2]), (113,557,[5_1|2]), (113,566,[4_1|2]), (113,575,[1_1|2]), (113,584,[5_1|2]), (113,593,[0_1|2]), (114,114,[1_1|0, cons_3_1|0, cons_0_1|0, cons_2_1|0, cons_5_1|0, cons_4_1|0]), (115,114,[encArg_1|1]), (115,115,[1_1|1, 3_1|1, 0_1|1, 2_1|1, 5_1|1, 4_1|1]), (115,116,[1_1|2]), (115,125,[3_1|2]), (115,134,[1_1|2]), (115,143,[3_1|2]), (115,152,[4_1|2]), (115,161,[1_1|2]), (115,170,[1_1|2]), (115,179,[4_1|2]), (115,188,[3_1|2]), (115,197,[3_1|2]), (115,206,[3_1|2]), (115,215,[3_1|2]), (115,224,[3_1|2]), (115,233,[0_1|2]), (115,242,[3_1|2]), (115,251,[0_1|2]), (115,260,[0_1|2]), (115,269,[3_1|2]), (115,278,[0_1|2]), (115,287,[3_1|2]), (115,296,[0_1|2]), (115,305,[1_1|2]), (115,314,[2_1|2]), (115,323,[0_1|2]), (115,332,[1_1|2]), (115,341,[0_1|2]), (115,350,[2_1|2]), (115,359,[0_1|2]), (115,368,[2_1|2]), (115,377,[2_1|2]), (115,386,[2_1|2]), (115,395,[1_1|2]), (115,404,[2_1|2]), (115,413,[5_1|2]), (115,422,[2_1|2]), (115,431,[1_1|2]), (115,440,[1_1|2]), (115,449,[2_1|2]), (115,458,[2_1|2]), (115,467,[2_1|2]), (115,476,[3_1|2]), (115,485,[1_1|2]), (115,494,[3_1|2]), (115,503,[4_1|2]), (115,512,[1_1|2]), (115,521,[5_1|2]), (115,530,[4_1|2]), (115,539,[5_1|2]), (115,548,[4_1|2]), (115,557,[5_1|2]), (115,566,[4_1|2]), (115,575,[1_1|2]), (115,584,[5_1|2]), (115,593,[0_1|2]), (116,117,[4_1|2]), (117,118,[1_1|2]), (118,119,[4_1|2]), (119,120,[5_1|2]), (120,121,[4_1|2]), (121,122,[3_1|2]), (122,123,[4_1|2]), (123,124,[1_1|2]), (124,115,[5_1|2]), (124,233,[5_1|2]), (124,251,[5_1|2]), (124,260,[5_1|2]), (124,278,[5_1|2]), (124,296,[5_1|2]), (124,323,[5_1|2]), (124,341,[5_1|2]), (124,359,[5_1|2]), (124,593,[5_1|2]), (124,198,[5_1|2]), (124,440,[1_1|2]), (124,449,[2_1|2]), (124,458,[2_1|2]), (124,467,[2_1|2]), (124,476,[3_1|2]), (124,485,[1_1|2]), (124,494,[3_1|2]), (124,503,[4_1|2]), (124,512,[1_1|2]), (124,521,[5_1|2]), (125,126,[3_1|2]), (126,127,[4_1|2]), (127,128,[1_1|2]), (128,129,[0_1|2]), (129,130,[4_1|2]), (130,131,[3_1|2]), (131,132,[1_1|2]), (132,133,[1_1|2]), (133,115,[5_1|2]), (133,314,[5_1|2]), (133,350,[5_1|2]), (133,368,[5_1|2]), (133,377,[5_1|2]), (133,386,[5_1|2]), (133,404,[5_1|2]), (133,422,[5_1|2]), (133,449,[5_1|2, 2_1|2]), (133,458,[5_1|2, 2_1|2]), (133,467,[5_1|2, 2_1|2]), (133,252,[5_1|2]), (133,261,[5_1|2]), (133,297,[5_1|2]), (133,594,[5_1|2]), (133,440,[1_1|2]), (133,476,[3_1|2]), (133,485,[1_1|2]), (133,494,[3_1|2]), (133,503,[4_1|2]), (133,512,[1_1|2]), (133,521,[5_1|2]), (134,135,[3_1|2]), (135,136,[2_1|2]), (136,137,[5_1|2]), (137,138,[0_1|2]), (138,139,[1_1|2]), (139,140,[1_1|2]), (140,141,[5_1|2]), (141,142,[0_1|2]), (141,287,[3_1|2]), (141,296,[0_1|2]), (141,305,[1_1|2]), (141,314,[2_1|2]), (141,323,[0_1|2]), (142,115,[5_1|2]), (142,413,[5_1|2]), (142,521,[5_1|2]), (142,539,[5_1|2]), (142,557,[5_1|2]), (142,584,[5_1|2]), (142,279,[5_1|2]), (142,440,[1_1|2]), (142,449,[2_1|2]), (142,458,[2_1|2]), (142,467,[2_1|2]), (142,476,[3_1|2]), (142,485,[1_1|2]), (142,494,[3_1|2]), (142,503,[4_1|2]), (142,512,[1_1|2]), (143,144,[5_1|2]), (144,145,[5_1|2]), (145,146,[4_1|2]), (146,147,[1_1|2]), (147,148,[0_1|2]), (148,149,[5_1|2]), (149,150,[1_1|2]), (150,151,[0_1|2]), (150,224,[3_1|2]), (150,233,[0_1|2]), (150,242,[3_1|2]), (150,602,[3_1|3]), (151,115,[4_1|2]), (151,314,[4_1|2]), (151,350,[4_1|2]), (151,368,[4_1|2]), (151,377,[4_1|2]), (151,386,[4_1|2]), (151,404,[4_1|2]), (151,422,[4_1|2]), (151,449,[4_1|2]), (151,458,[4_1|2]), (151,467,[4_1|2]), (151,216,[4_1|2]), (151,270,[4_1|2]), (151,495,[4_1|2]), (151,530,[4_1|2]), (151,539,[5_1|2]), (151,548,[4_1|2]), (151,557,[5_1|2]), (151,566,[4_1|2]), (151,575,[1_1|2]), (151,584,[5_1|2]), (151,593,[0_1|2]), (152,153,[1_1|2]), (153,154,[2_1|2]), (154,155,[0_1|2]), (155,156,[2_1|2]), (156,157,[1_1|2]), (157,158,[1_1|2]), (158,159,[4_1|2]), (158,575,[1_1|2]), (159,160,[3_1|2]), (159,215,[3_1|2]), (160,115,[4_1|2]), (160,413,[4_1|2]), (160,521,[4_1|2]), (160,539,[4_1|2, 5_1|2]), (160,557,[4_1|2, 5_1|2]), (160,584,[4_1|2, 5_1|2]), (160,279,[4_1|2]), (160,530,[4_1|2]), (160,548,[4_1|2]), (160,566,[4_1|2]), (160,575,[1_1|2]), (160,593,[0_1|2]), (161,162,[1_1|2]), (162,163,[3_1|2]), (163,164,[3_1|2]), (164,165,[1_1|2]), (165,166,[1_1|2]), (166,167,[1_1|2]), (167,168,[0_1|2]), (168,169,[1_1|2]), (169,115,[5_1|2]), (169,125,[5_1|2]), (169,143,[5_1|2]), (169,188,[5_1|2]), (169,197,[5_1|2]), (169,206,[5_1|2]), (169,215,[5_1|2]), (169,224,[5_1|2]), (169,242,[5_1|2]), (169,269,[5_1|2]), (169,287,[5_1|2]), (169,476,[5_1|2, 3_1|2]), (169,494,[5_1|2, 3_1|2]), (169,126,[5_1|2]), (169,207,[5_1|2]), (169,440,[1_1|2]), (169,449,[2_1|2]), (169,458,[2_1|2]), (169,467,[2_1|2]), (169,485,[1_1|2]), (169,503,[4_1|2]), (169,512,[1_1|2]), (169,521,[5_1|2]), (170,171,[3_1|2]), (170,611,[3_1|3]), (171,172,[0_1|2]), (172,173,[0_1|2]), (173,174,[0_1|2]), (174,175,[4_1|2]), (175,176,[0_1|2]), (176,177,[4_1|2]), (177,178,[1_1|2]), (178,115,[0_1|2]), (178,233,[0_1|2]), (178,251,[0_1|2]), (178,260,[0_1|2]), (178,278,[0_1|2]), (178,296,[0_1|2]), (178,323,[0_1|2]), (178,341,[0_1|2]), (178,359,[0_1|2]), (178,593,[0_1|2]), (178,198,[0_1|2]), (178,224,[3_1|2]), (178,242,[3_1|2]), (178,269,[3_1|2]), (178,287,[3_1|2]), (178,305,[1_1|2]), (178,314,[2_1|2]), (178,332,[1_1|2]), (178,350,[2_1|2]), (178,368,[2_1|2]), (179,180,[1_1|2]), (180,181,[2_1|2]), (181,182,[0_1|2]), (182,183,[5_1|2]), (183,184,[1_1|2]), (184,185,[2_1|2]), (185,186,[3_1|2]), (186,187,[1_1|2]), (187,115,[3_1|2]), (187,413,[3_1|2]), (187,521,[3_1|2]), (187,539,[3_1|2]), (187,557,[3_1|2]), (187,584,[3_1|2]), (187,585,[3_1|2]), (187,116,[1_1|2]), (187,125,[3_1|2]), (187,134,[1_1|2]), (187,143,[3_1|2]), (187,152,[4_1|2]), (187,161,[1_1|2]), (187,170,[1_1|2]), (187,179,[4_1|2]), (187,188,[3_1|2]), (187,197,[3_1|2]), (187,206,[3_1|2]), (187,215,[3_1|2]), (187,620,[1_1|3]), (187,629,[1_1|3]), (187,638,[3_1|3]), (188,189,[4_1|2]), (189,190,[4_1|2]), (190,191,[4_1|2]), (191,192,[1_1|2]), (192,193,[3_1|2]), (193,194,[4_1|2]), (194,195,[1_1|2]), (195,196,[0_1|2]), (195,251,[0_1|2]), (195,260,[0_1|2]), (195,269,[3_1|2]), (195,278,[0_1|2]), (196,115,[2_1|2]), (196,314,[2_1|2]), (196,350,[2_1|2]), (196,368,[2_1|2]), (196,377,[2_1|2]), (196,386,[2_1|2]), (196,404,[2_1|2]), (196,422,[2_1|2]), (196,449,[2_1|2]), (196,458,[2_1|2]), (196,467,[2_1|2]), (196,423,[2_1|2]), (196,395,[1_1|2]), (196,413,[5_1|2]), (196,431,[1_1|2]), (197,198,[0_1|2]), (198,199,[4_1|2]), (199,200,[1_1|2]), (200,201,[1_1|2]), (201,202,[5_1|2]), (202,203,[0_1|2]), (203,204,[3_1|2]), (204,205,[1_1|2]), (205,115,[1_1|2]), (205,314,[1_1|2]), (205,350,[1_1|2]), (205,368,[1_1|2]), (205,377,[1_1|2]), (205,386,[1_1|2]), (205,404,[1_1|2]), (205,422,[1_1|2]), (205,449,[1_1|2]), (205,458,[1_1|2]), (205,467,[1_1|2]), (205,216,[1_1|2]), (205,270,[1_1|2]), (205,495,[1_1|2]), (206,207,[3_1|2]), (207,208,[1_1|2]), (208,209,[0_1|2]), (209,210,[1_1|2]), (210,211,[5_1|2]), (211,212,[4_1|2]), (212,213,[5_1|2]), (212,449,[2_1|2]), (212,647,[2_1|3]), (213,214,[2_1|2]), (213,377,[2_1|2]), (213,386,[2_1|2]), (213,656,[2_1|3]), (214,115,[4_1|2]), (214,233,[4_1|2]), (214,251,[4_1|2]), (214,260,[4_1|2]), (214,278,[4_1|2]), (214,296,[4_1|2]), (214,323,[4_1|2]), (214,341,[4_1|2]), (214,359,[4_1|2]), (214,593,[4_1|2, 0_1|2]), (214,234,[4_1|2]), (214,324,[4_1|2]), (214,325,[4_1|2]), (214,530,[4_1|2]), (214,539,[5_1|2]), (214,548,[4_1|2]), (214,557,[5_1|2]), (214,566,[4_1|2]), (214,575,[1_1|2]), (214,584,[5_1|2]), (215,216,[2_1|2]), (216,217,[0_1|2]), (217,218,[1_1|2]), (218,219,[1_1|2]), (219,220,[3_1|2]), (220,221,[4_1|2]), (221,222,[1_1|2]), (222,223,[1_1|2]), (223,115,[2_1|2]), (223,314,[2_1|2]), (223,350,[2_1|2]), (223,368,[2_1|2]), (223,377,[2_1|2]), (223,386,[2_1|2]), (223,404,[2_1|2]), (223,422,[2_1|2]), 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(690,691,[4_1|3]), (691,145,[5_1|3]), (692,693,[4_1|3]), (693,694,[5_1|3]), (694,695,[2_1|3]), (695,696,[0_1|3]), (696,697,[1_1|3]), (697,698,[2_1|3]), (698,699,[2_1|3]), (699,700,[3_1|3]), (700,479,[1_1|3]), (701,702,[3_1|3]), (702,703,[1_1|3]), (703,704,[5_1|3]), (704,705,[1_1|3]), (705,706,[2_1|3]), (706,707,[4_1|3]), (707,708,[2_1|3]), (708,709,[1_1|3]), (709,478,[3_1|3]), (710,711,[2_1|3]), (711,712,[2_1|3]), (712,713,[3_1|3]), (713,714,[1_1|3]), (714,715,[2_1|3]), (715,716,[0_1|3]), (716,717,[0_1|3]), (717,718,[4_1|3]), (718,216,[1_1|3]), (718,270,[1_1|3]), (718,495,[1_1|3]), (719,720,[5_1|3]), (720,721,[2_1|3]), (721,722,[5_1|3]), (722,723,[2_1|3]), (723,724,[5_1|3]), (724,725,[1_1|3]), (725,726,[1_1|3]), (726,727,[2_1|3]), (726,395,[1_1|2]), (726,404,[2_1|2]), (726,683,[1_1|3]), (726,692,[2_1|3]), (727,115,[0_1|3]), (727,125,[0_1|3]), (727,143,[0_1|3]), (727,188,[0_1|3]), (727,197,[0_1|3]), (727,206,[0_1|3]), (727,215,[0_1|3]), (727,224,[0_1|3, 3_1|2]), (727,242,[0_1|3, 3_1|2]), (727,269,[0_1|3, 3_1|2]), (727,287,[0_1|3, 3_1|2]), (727,476,[0_1|3]), (727,494,[0_1|3]), (727,126,[0_1|3]), (727,207,[0_1|3]), (727,638,[0_1|3]), (727,342,[0_1|3]), (727,233,[0_1|2]), (727,251,[0_1|2]), (727,260,[0_1|2]), (727,278,[0_1|2]), (727,296,[0_1|2]), (727,305,[1_1|2]), (727,314,[2_1|2]), (727,323,[0_1|2]), (727,332,[1_1|2]), (727,341,[0_1|2]), (727,350,[2_1|2]), (727,359,[0_1|2]), (727,368,[2_1|2]), (728,729,[1_1|3]), (729,730,[1_1|3]), (730,731,[5_1|3]), (731,732,[2_1|3]), (732,733,[0_1|3]), (733,734,[5_1|3]), (734,735,[4_1|3]), (735,736,[1_1|3]), (736,253,[1_1|3])}" ---------------------------------------- (8) BOUNDS(1, n^1)