/export/starexec/sandbox/solver/bin/starexec_run_rcdcRelativeAlsoLower /export/starexec/sandbox/benchmark/theBenchmark.xml /export/starexec/sandbox/output/output_files -------------------------------------------------------------------------------- WORST_CASE(?, O(n^1)) proof of /export/starexec/sandbox/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# AProVE Commit ID: 794c25de1cacf0d048858bcd21c9a779e1221865 marcel 20200619 unpublished dirty The Derivational Complexity (full) of the given DCpxTrs could be proven to be BOUNDS(1, n^1).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), 110 ms] (4) CpxRelTRS (5) RelTrsToTrsProof [UPPER BOUND(ID), 0 ms] (6) CpxTRS (7) CpxTrsMatchBoundsProof [FINISHED, 208 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(1(2(3(x1)))) -> 0(0(2(2(0(1(0(5(5(4(x1)))))))))) 0(1(4(0(x1)))) -> 1(5(4(2(2(4(2(2(4(2(x1)))))))))) 1(2(5(2(x1)))) -> 1(3(4(4(1(4(1(0(1(0(x1)))))))))) 2(1(2(0(x1)))) -> 0(2(0(0(4(2(2(0(4(2(x1)))))))))) 3(2(5(3(x1)))) -> 3(2(3(3(2(0(1(0(0(2(x1)))))))))) 3(3(5(0(x1)))) -> 3(0(1(5(4(3(1(3(0(2(x1)))))))))) 4(1(4(2(x1)))) -> 4(2(2(2(2(2(1(0(3(2(x1)))))))))) 0(4(5(1(2(x1))))) -> 0(4(0(3(0(4(5(1(5(5(x1)))))))))) 1(2(3(4(0(x1))))) -> 1(4(4(0(3(2(0(2(1(0(x1)))))))))) 1(2(5(2(5(x1))))) -> 1(3(2(3(0(0(5(0(3(0(x1)))))))))) 2(1(2(5(2(x1))))) -> 0(2(3(2(2(0(0(5(3(2(x1)))))))))) 2(2(5(4(5(x1))))) -> 2(0(2(0(3(5(5(1(5(5(x1)))))))))) 2(5(3(1(2(x1))))) -> 3(4(4(0(4(4(2(4(3(0(x1)))))))))) 2(5(5(5(0(x1))))) -> 3(2(2(2(5(5(4(1(0(0(x1)))))))))) 3(2(1(4(2(x1))))) -> 0(4(3(1(1(5(5(0(2(2(x1)))))))))) 3(3(3(5(0(x1))))) -> 3(2(4(1(5(0(0(0(0(0(x1)))))))))) 4(3(3(1(4(x1))))) -> 4(1(0(0(2(2(4(3(3(0(x1)))))))))) 5(3(1(2(4(x1))))) -> 5(5(4(1(3(0(0(3(0(4(x1)))))))))) 0(1(4(0(1(4(x1)))))) -> 0(2(0(1(3(4(3(1(5(2(x1)))))))))) 0(3(1(2(5(3(x1)))))) -> 0(1(0(4(5(5(4(1(5(3(x1)))))))))) 0(3(2(1(4(2(x1)))))) -> 0(1(0(0(2(0(3(5(3(2(x1)))))))))) 1(2(5(1(4(3(x1)))))) -> 0(3(3(4(3(0(1(0(3(3(x1)))))))))) 2(5(5(3(2(5(x1)))))) -> 0(0(0(3(0(2(1(4(2(3(x1)))))))))) 2(5(5(3(5(3(x1)))))) -> 3(2(2(1(5(3(0(2(0(3(x1)))))))))) 3(2(1(2(1(2(x1)))))) -> 3(3(5(1(1(3(1(0(2(2(x1)))))))))) 3(3(5(0(4(2(x1)))))) -> 3(0(0(2(0(4(1(4(4(2(x1)))))))))) 3(4(0(0(5(1(x1)))))) -> 3(0(0(4(2(1(0(3(0(1(x1)))))))))) 3(5(3(3(1(2(x1)))))) -> 1(5(4(3(3(5(4(5(2(2(x1)))))))))) 4(1(4(3(1(3(x1)))))) -> 4(0(2(2(2(3(2(4(4(3(x1)))))))))) 4(3(5(4(5(2(x1)))))) -> 5(3(0(3(2(2(3(1(5(2(x1)))))))))) 5(1(0(1(2(0(x1)))))) -> 5(4(2(1(0(2(4(3(1(0(x1)))))))))) 5(2(5(5(2(1(x1)))))) -> 1(5(4(5(3(2(3(2(0(1(x1)))))))))) 5(3(1(3(5(2(x1)))))) -> 5(0(1(0(2(0(0(0(5(2(x1)))))))))) 5(3(5(4(5(3(x1)))))) -> 5(3(0(0(0(4(1(0(4(4(x1)))))))))) 5(5(3(0(5(3(x1)))))) -> 5(4(3(0(4(2(2(4(3(0(x1)))))))))) 1(1(4(1(2(1(4(x1))))))) -> 1(2(5(2(0(0(3(1(5(5(x1)))))))))) 1(2(0(5(5(3(4(x1))))))) -> 0(5(4(4(1(5(0(4(4(4(x1)))))))))) 1(3(1(2(5(5(3(x1))))))) -> 3(3(3(0(4(4(0(0(3(3(x1)))))))))) 1(3(3(1(2(1(2(x1))))))) -> 3(1(3(3(0(1(3(4(5(5(x1)))))))))) 1(4(1(2(3(4(5(x1))))))) -> 1(1(0(4(4(2(5(4(4(5(x1)))))))))) 2(0(5(4(5(3(5(x1))))))) -> 2(0(2(1(4(4(0(0(0(4(x1)))))))))) 2(4(5(0(5(2(5(x1))))))) -> 0(4(3(2(1(1(1(4(2(3(x1)))))))))) 2(5(1(2(4(0(5(x1))))))) -> 0(0(5(5(5(0(0(0(3(3(x1)))))))))) 3(1(2(5(3(3(3(x1))))))) -> 1(0(3(0(5(1(1(5(5(0(x1)))))))))) 3(1(4(3(5(3(5(x1))))))) -> 0(0(0(3(4(2(4(1(2(5(x1)))))))))) 3(1(5(2(5(1(0(x1))))))) -> 3(4(4(2(3(4(0(4(0(2(x1)))))))))) 4(1(4(3(3(5(3(x1))))))) -> 4(2(1(3(0(4(3(2(2(0(x1)))))))))) 4(3(4(2(5(5(1(x1))))))) -> 5(2(0(4(1(3(0(1(1(1(x1)))))))))) 4(5(0(4(4(5(3(x1))))))) -> 4(4(5(1(1(1(5(4(4(0(x1)))))))))) 4(5(3(1(1(2(4(x1))))))) -> 4(4(1(4(4(3(2(1(0(4(x1)))))))))) 5(1(1(4(5(0(5(x1))))))) -> 5(0(3(4(2(1(1(5(5(3(x1)))))))))) 5(2(4(1(2(5(0(x1))))))) -> 5(4(3(0(0(4(4(1(5(0(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_1(x_1)) -> 1(encArg(x_1)) encArg(cons_2(x_1)) -> 2(encArg(x_1)) encArg(cons_3(x_1)) -> 3(encArg(x_1)) encArg(cons_4(x_1)) -> 4(encArg(x_1)) encArg(cons_5(x_1)) -> 5(encArg(x_1)) encode_0(x_1) -> 0(encArg(x_1)) encode_1(x_1) -> 1(encArg(x_1)) encode_2(x_1) -> 2(encArg(x_1)) encode_3(x_1) -> 3(encArg(x_1)) encode_5(x_1) -> 5(encArg(x_1)) encode_4(x_1) -> 4(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(1(2(3(x1)))) -> 0(0(2(2(0(1(0(5(5(4(x1)))))))))) 0(1(4(0(x1)))) -> 1(5(4(2(2(4(2(2(4(2(x1)))))))))) 1(2(5(2(x1)))) -> 1(3(4(4(1(4(1(0(1(0(x1)))))))))) 2(1(2(0(x1)))) -> 0(2(0(0(4(2(2(0(4(2(x1)))))))))) 3(2(5(3(x1)))) -> 3(2(3(3(2(0(1(0(0(2(x1)))))))))) 3(3(5(0(x1)))) -> 3(0(1(5(4(3(1(3(0(2(x1)))))))))) 4(1(4(2(x1)))) -> 4(2(2(2(2(2(1(0(3(2(x1)))))))))) 0(4(5(1(2(x1))))) -> 0(4(0(3(0(4(5(1(5(5(x1)))))))))) 1(2(3(4(0(x1))))) -> 1(4(4(0(3(2(0(2(1(0(x1)))))))))) 1(2(5(2(5(x1))))) -> 1(3(2(3(0(0(5(0(3(0(x1)))))))))) 2(1(2(5(2(x1))))) -> 0(2(3(2(2(0(0(5(3(2(x1)))))))))) 2(2(5(4(5(x1))))) -> 2(0(2(0(3(5(5(1(5(5(x1)))))))))) 2(5(3(1(2(x1))))) -> 3(4(4(0(4(4(2(4(3(0(x1)))))))))) 2(5(5(5(0(x1))))) -> 3(2(2(2(5(5(4(1(0(0(x1)))))))))) 3(2(1(4(2(x1))))) -> 0(4(3(1(1(5(5(0(2(2(x1)))))))))) 3(3(3(5(0(x1))))) -> 3(2(4(1(5(0(0(0(0(0(x1)))))))))) 4(3(3(1(4(x1))))) -> 4(1(0(0(2(2(4(3(3(0(x1)))))))))) 5(3(1(2(4(x1))))) -> 5(5(4(1(3(0(0(3(0(4(x1)))))))))) 0(1(4(0(1(4(x1)))))) -> 0(2(0(1(3(4(3(1(5(2(x1)))))))))) 0(3(1(2(5(3(x1)))))) -> 0(1(0(4(5(5(4(1(5(3(x1)))))))))) 0(3(2(1(4(2(x1)))))) -> 0(1(0(0(2(0(3(5(3(2(x1)))))))))) 1(2(5(1(4(3(x1)))))) -> 0(3(3(4(3(0(1(0(3(3(x1)))))))))) 2(5(5(3(2(5(x1)))))) -> 0(0(0(3(0(2(1(4(2(3(x1)))))))))) 2(5(5(3(5(3(x1)))))) -> 3(2(2(1(5(3(0(2(0(3(x1)))))))))) 3(2(1(2(1(2(x1)))))) -> 3(3(5(1(1(3(1(0(2(2(x1)))))))))) 3(3(5(0(4(2(x1)))))) -> 3(0(0(2(0(4(1(4(4(2(x1)))))))))) 3(4(0(0(5(1(x1)))))) -> 3(0(0(4(2(1(0(3(0(1(x1)))))))))) 3(5(3(3(1(2(x1)))))) -> 1(5(4(3(3(5(4(5(2(2(x1)))))))))) 4(1(4(3(1(3(x1)))))) -> 4(0(2(2(2(3(2(4(4(3(x1)))))))))) 4(3(5(4(5(2(x1)))))) -> 5(3(0(3(2(2(3(1(5(2(x1)))))))))) 5(1(0(1(2(0(x1)))))) -> 5(4(2(1(0(2(4(3(1(0(x1)))))))))) 5(2(5(5(2(1(x1)))))) -> 1(5(4(5(3(2(3(2(0(1(x1)))))))))) 5(3(1(3(5(2(x1)))))) -> 5(0(1(0(2(0(0(0(5(2(x1)))))))))) 5(3(5(4(5(3(x1)))))) -> 5(3(0(0(0(4(1(0(4(4(x1)))))))))) 5(5(3(0(5(3(x1)))))) -> 5(4(3(0(4(2(2(4(3(0(x1)))))))))) 1(1(4(1(2(1(4(x1))))))) -> 1(2(5(2(0(0(3(1(5(5(x1)))))))))) 1(2(0(5(5(3(4(x1))))))) -> 0(5(4(4(1(5(0(4(4(4(x1)))))))))) 1(3(1(2(5(5(3(x1))))))) -> 3(3(3(0(4(4(0(0(3(3(x1)))))))))) 1(3(3(1(2(1(2(x1))))))) -> 3(1(3(3(0(1(3(4(5(5(x1)))))))))) 1(4(1(2(3(4(5(x1))))))) -> 1(1(0(4(4(2(5(4(4(5(x1)))))))))) 2(0(5(4(5(3(5(x1))))))) -> 2(0(2(1(4(4(0(0(0(4(x1)))))))))) 2(4(5(0(5(2(5(x1))))))) -> 0(4(3(2(1(1(1(4(2(3(x1)))))))))) 2(5(1(2(4(0(5(x1))))))) -> 0(0(5(5(5(0(0(0(3(3(x1)))))))))) 3(1(2(5(3(3(3(x1))))))) -> 1(0(3(0(5(1(1(5(5(0(x1)))))))))) 3(1(4(3(5(3(5(x1))))))) -> 0(0(0(3(4(2(4(1(2(5(x1)))))))))) 3(1(5(2(5(1(0(x1))))))) -> 3(4(4(2(3(4(0(4(0(2(x1)))))))))) 4(1(4(3(3(5(3(x1))))))) -> 4(2(1(3(0(4(3(2(2(0(x1)))))))))) 4(3(4(2(5(5(1(x1))))))) -> 5(2(0(4(1(3(0(1(1(1(x1)))))))))) 4(5(0(4(4(5(3(x1))))))) -> 4(4(5(1(1(1(5(4(4(0(x1)))))))))) 4(5(3(1(1(2(4(x1))))))) -> 4(4(1(4(4(3(2(1(0(4(x1)))))))))) 5(1(1(4(5(0(5(x1))))))) -> 5(0(3(4(2(1(1(5(5(3(x1)))))))))) 5(2(4(1(2(5(0(x1))))))) -> 5(4(3(0(0(4(4(1(5(0(x1)))))))))) The (relative) TRS S consists of the following rules: encArg(cons_0(x_1)) -> 0(encArg(x_1)) encArg(cons_1(x_1)) -> 1(encArg(x_1)) encArg(cons_2(x_1)) -> 2(encArg(x_1)) encArg(cons_3(x_1)) -> 3(encArg(x_1)) encArg(cons_4(x_1)) -> 4(encArg(x_1)) encArg(cons_5(x_1)) -> 5(encArg(x_1)) encode_0(x_1) -> 0(encArg(x_1)) encode_1(x_1) -> 1(encArg(x_1)) encode_2(x_1) -> 2(encArg(x_1)) encode_3(x_1) -> 3(encArg(x_1)) encode_5(x_1) -> 5(encArg(x_1)) encode_4(x_1) -> 4(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(1(2(3(x1)))) -> 0(0(2(2(0(1(0(5(5(4(x1)))))))))) 0(1(4(0(x1)))) -> 1(5(4(2(2(4(2(2(4(2(x1)))))))))) 1(2(5(2(x1)))) -> 1(3(4(4(1(4(1(0(1(0(x1)))))))))) 2(1(2(0(x1)))) -> 0(2(0(0(4(2(2(0(4(2(x1)))))))))) 3(2(5(3(x1)))) -> 3(2(3(3(2(0(1(0(0(2(x1)))))))))) 3(3(5(0(x1)))) -> 3(0(1(5(4(3(1(3(0(2(x1)))))))))) 4(1(4(2(x1)))) -> 4(2(2(2(2(2(1(0(3(2(x1)))))))))) 0(4(5(1(2(x1))))) -> 0(4(0(3(0(4(5(1(5(5(x1)))))))))) 1(2(3(4(0(x1))))) -> 1(4(4(0(3(2(0(2(1(0(x1)))))))))) 1(2(5(2(5(x1))))) -> 1(3(2(3(0(0(5(0(3(0(x1)))))))))) 2(1(2(5(2(x1))))) -> 0(2(3(2(2(0(0(5(3(2(x1)))))))))) 2(2(5(4(5(x1))))) -> 2(0(2(0(3(5(5(1(5(5(x1)))))))))) 2(5(3(1(2(x1))))) -> 3(4(4(0(4(4(2(4(3(0(x1)))))))))) 2(5(5(5(0(x1))))) -> 3(2(2(2(5(5(4(1(0(0(x1)))))))))) 3(2(1(4(2(x1))))) -> 0(4(3(1(1(5(5(0(2(2(x1)))))))))) 3(3(3(5(0(x1))))) -> 3(2(4(1(5(0(0(0(0(0(x1)))))))))) 4(3(3(1(4(x1))))) -> 4(1(0(0(2(2(4(3(3(0(x1)))))))))) 5(3(1(2(4(x1))))) -> 5(5(4(1(3(0(0(3(0(4(x1)))))))))) 0(1(4(0(1(4(x1)))))) -> 0(2(0(1(3(4(3(1(5(2(x1)))))))))) 0(3(1(2(5(3(x1)))))) -> 0(1(0(4(5(5(4(1(5(3(x1)))))))))) 0(3(2(1(4(2(x1)))))) -> 0(1(0(0(2(0(3(5(3(2(x1)))))))))) 1(2(5(1(4(3(x1)))))) -> 0(3(3(4(3(0(1(0(3(3(x1)))))))))) 2(5(5(3(2(5(x1)))))) -> 0(0(0(3(0(2(1(4(2(3(x1)))))))))) 2(5(5(3(5(3(x1)))))) -> 3(2(2(1(5(3(0(2(0(3(x1)))))))))) 3(2(1(2(1(2(x1)))))) -> 3(3(5(1(1(3(1(0(2(2(x1)))))))))) 3(3(5(0(4(2(x1)))))) -> 3(0(0(2(0(4(1(4(4(2(x1)))))))))) 3(4(0(0(5(1(x1)))))) -> 3(0(0(4(2(1(0(3(0(1(x1)))))))))) 3(5(3(3(1(2(x1)))))) -> 1(5(4(3(3(5(4(5(2(2(x1)))))))))) 4(1(4(3(1(3(x1)))))) -> 4(0(2(2(2(3(2(4(4(3(x1)))))))))) 4(3(5(4(5(2(x1)))))) -> 5(3(0(3(2(2(3(1(5(2(x1)))))))))) 5(1(0(1(2(0(x1)))))) -> 5(4(2(1(0(2(4(3(1(0(x1)))))))))) 5(2(5(5(2(1(x1)))))) -> 1(5(4(5(3(2(3(2(0(1(x1)))))))))) 5(3(1(3(5(2(x1)))))) -> 5(0(1(0(2(0(0(0(5(2(x1)))))))))) 5(3(5(4(5(3(x1)))))) -> 5(3(0(0(0(4(1(0(4(4(x1)))))))))) 5(5(3(0(5(3(x1)))))) -> 5(4(3(0(4(2(2(4(3(0(x1)))))))))) 1(1(4(1(2(1(4(x1))))))) -> 1(2(5(2(0(0(3(1(5(5(x1)))))))))) 1(2(0(5(5(3(4(x1))))))) -> 0(5(4(4(1(5(0(4(4(4(x1)))))))))) 1(3(1(2(5(5(3(x1))))))) -> 3(3(3(0(4(4(0(0(3(3(x1)))))))))) 1(3(3(1(2(1(2(x1))))))) -> 3(1(3(3(0(1(3(4(5(5(x1)))))))))) 1(4(1(2(3(4(5(x1))))))) -> 1(1(0(4(4(2(5(4(4(5(x1)))))))))) 2(0(5(4(5(3(5(x1))))))) -> 2(0(2(1(4(4(0(0(0(4(x1)))))))))) 2(4(5(0(5(2(5(x1))))))) -> 0(4(3(2(1(1(1(4(2(3(x1)))))))))) 2(5(1(2(4(0(5(x1))))))) -> 0(0(5(5(5(0(0(0(3(3(x1)))))))))) 3(1(2(5(3(3(3(x1))))))) -> 1(0(3(0(5(1(1(5(5(0(x1)))))))))) 3(1(4(3(5(3(5(x1))))))) -> 0(0(0(3(4(2(4(1(2(5(x1)))))))))) 3(1(5(2(5(1(0(x1))))))) -> 3(4(4(2(3(4(0(4(0(2(x1)))))))))) 4(1(4(3(3(5(3(x1))))))) -> 4(2(1(3(0(4(3(2(2(0(x1)))))))))) 4(3(4(2(5(5(1(x1))))))) -> 5(2(0(4(1(3(0(1(1(1(x1)))))))))) 4(5(0(4(4(5(3(x1))))))) -> 4(4(5(1(1(1(5(4(4(0(x1)))))))))) 4(5(3(1(1(2(4(x1))))))) -> 4(4(1(4(4(3(2(1(0(4(x1)))))))))) 5(1(1(4(5(0(5(x1))))))) -> 5(0(3(4(2(1(1(5(5(3(x1)))))))))) 5(2(4(1(2(5(0(x1))))))) -> 5(4(3(0(0(4(4(1(5(0(x1)))))))))) The (relative) TRS S consists of the following rules: encArg(cons_0(x_1)) -> 0(encArg(x_1)) encArg(cons_1(x_1)) -> 1(encArg(x_1)) encArg(cons_2(x_1)) -> 2(encArg(x_1)) encArg(cons_3(x_1)) -> 3(encArg(x_1)) encArg(cons_4(x_1)) -> 4(encArg(x_1)) encArg(cons_5(x_1)) -> 5(encArg(x_1)) encode_0(x_1) -> 0(encArg(x_1)) encode_1(x_1) -> 1(encArg(x_1)) encode_2(x_1) -> 2(encArg(x_1)) encode_3(x_1) -> 3(encArg(x_1)) encode_5(x_1) -> 5(encArg(x_1)) encode_4(x_1) -> 4(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(1(2(3(x1)))) -> 0(0(2(2(0(1(0(5(5(4(x1)))))))))) 0(1(4(0(x1)))) -> 1(5(4(2(2(4(2(2(4(2(x1)))))))))) 1(2(5(2(x1)))) -> 1(3(4(4(1(4(1(0(1(0(x1)))))))))) 2(1(2(0(x1)))) -> 0(2(0(0(4(2(2(0(4(2(x1)))))))))) 3(2(5(3(x1)))) -> 3(2(3(3(2(0(1(0(0(2(x1)))))))))) 3(3(5(0(x1)))) -> 3(0(1(5(4(3(1(3(0(2(x1)))))))))) 4(1(4(2(x1)))) -> 4(2(2(2(2(2(1(0(3(2(x1)))))))))) 0(4(5(1(2(x1))))) -> 0(4(0(3(0(4(5(1(5(5(x1)))))))))) 1(2(3(4(0(x1))))) -> 1(4(4(0(3(2(0(2(1(0(x1)))))))))) 1(2(5(2(5(x1))))) -> 1(3(2(3(0(0(5(0(3(0(x1)))))))))) 2(1(2(5(2(x1))))) -> 0(2(3(2(2(0(0(5(3(2(x1)))))))))) 2(2(5(4(5(x1))))) -> 2(0(2(0(3(5(5(1(5(5(x1)))))))))) 2(5(3(1(2(x1))))) -> 3(4(4(0(4(4(2(4(3(0(x1)))))))))) 2(5(5(5(0(x1))))) -> 3(2(2(2(5(5(4(1(0(0(x1)))))))))) 3(2(1(4(2(x1))))) -> 0(4(3(1(1(5(5(0(2(2(x1)))))))))) 3(3(3(5(0(x1))))) -> 3(2(4(1(5(0(0(0(0(0(x1)))))))))) 4(3(3(1(4(x1))))) -> 4(1(0(0(2(2(4(3(3(0(x1)))))))))) 5(3(1(2(4(x1))))) -> 5(5(4(1(3(0(0(3(0(4(x1)))))))))) 0(1(4(0(1(4(x1)))))) -> 0(2(0(1(3(4(3(1(5(2(x1)))))))))) 0(3(1(2(5(3(x1)))))) -> 0(1(0(4(5(5(4(1(5(3(x1)))))))))) 0(3(2(1(4(2(x1)))))) -> 0(1(0(0(2(0(3(5(3(2(x1)))))))))) 1(2(5(1(4(3(x1)))))) -> 0(3(3(4(3(0(1(0(3(3(x1)))))))))) 2(5(5(3(2(5(x1)))))) -> 0(0(0(3(0(2(1(4(2(3(x1)))))))))) 2(5(5(3(5(3(x1)))))) -> 3(2(2(1(5(3(0(2(0(3(x1)))))))))) 3(2(1(2(1(2(x1)))))) -> 3(3(5(1(1(3(1(0(2(2(x1)))))))))) 3(3(5(0(4(2(x1)))))) -> 3(0(0(2(0(4(1(4(4(2(x1)))))))))) 3(4(0(0(5(1(x1)))))) -> 3(0(0(4(2(1(0(3(0(1(x1)))))))))) 3(5(3(3(1(2(x1)))))) -> 1(5(4(3(3(5(4(5(2(2(x1)))))))))) 4(1(4(3(1(3(x1)))))) -> 4(0(2(2(2(3(2(4(4(3(x1)))))))))) 4(3(5(4(5(2(x1)))))) -> 5(3(0(3(2(2(3(1(5(2(x1)))))))))) 5(1(0(1(2(0(x1)))))) -> 5(4(2(1(0(2(4(3(1(0(x1)))))))))) 5(2(5(5(2(1(x1)))))) -> 1(5(4(5(3(2(3(2(0(1(x1)))))))))) 5(3(1(3(5(2(x1)))))) -> 5(0(1(0(2(0(0(0(5(2(x1)))))))))) 5(3(5(4(5(3(x1)))))) -> 5(3(0(0(0(4(1(0(4(4(x1)))))))))) 5(5(3(0(5(3(x1)))))) -> 5(4(3(0(4(2(2(4(3(0(x1)))))))))) 1(1(4(1(2(1(4(x1))))))) -> 1(2(5(2(0(0(3(1(5(5(x1)))))))))) 1(2(0(5(5(3(4(x1))))))) -> 0(5(4(4(1(5(0(4(4(4(x1)))))))))) 1(3(1(2(5(5(3(x1))))))) -> 3(3(3(0(4(4(0(0(3(3(x1)))))))))) 1(3(3(1(2(1(2(x1))))))) -> 3(1(3(3(0(1(3(4(5(5(x1)))))))))) 1(4(1(2(3(4(5(x1))))))) -> 1(1(0(4(4(2(5(4(4(5(x1)))))))))) 2(0(5(4(5(3(5(x1))))))) -> 2(0(2(1(4(4(0(0(0(4(x1)))))))))) 2(4(5(0(5(2(5(x1))))))) -> 0(4(3(2(1(1(1(4(2(3(x1)))))))))) 2(5(1(2(4(0(5(x1))))))) -> 0(0(5(5(5(0(0(0(3(3(x1)))))))))) 3(1(2(5(3(3(3(x1))))))) -> 1(0(3(0(5(1(1(5(5(0(x1)))))))))) 3(1(4(3(5(3(5(x1))))))) -> 0(0(0(3(4(2(4(1(2(5(x1)))))))))) 3(1(5(2(5(1(0(x1))))))) -> 3(4(4(2(3(4(0(4(0(2(x1)))))))))) 4(1(4(3(3(5(3(x1))))))) -> 4(2(1(3(0(4(3(2(2(0(x1)))))))))) 4(3(4(2(5(5(1(x1))))))) -> 5(2(0(4(1(3(0(1(1(1(x1)))))))))) 4(5(0(4(4(5(3(x1))))))) -> 4(4(5(1(1(1(5(4(4(0(x1)))))))))) 4(5(3(1(1(2(4(x1))))))) -> 4(4(1(4(4(3(2(1(0(4(x1)))))))))) 5(1(1(4(5(0(5(x1))))))) -> 5(0(3(4(2(1(1(5(5(3(x1)))))))))) 5(2(4(1(2(5(0(x1))))))) -> 5(4(3(0(0(4(4(1(5(0(x1)))))))))) encArg(cons_0(x_1)) -> 0(encArg(x_1)) encArg(cons_1(x_1)) -> 1(encArg(x_1)) encArg(cons_2(x_1)) -> 2(encArg(x_1)) encArg(cons_3(x_1)) -> 3(encArg(x_1)) encArg(cons_4(x_1)) -> 4(encArg(x_1)) encArg(cons_5(x_1)) -> 5(encArg(x_1)) encode_0(x_1) -> 0(encArg(x_1)) encode_1(x_1) -> 1(encArg(x_1)) encode_2(x_1) -> 2(encArg(x_1)) encode_3(x_1) -> 3(encArg(x_1)) encode_5(x_1) -> 5(encArg(x_1)) encode_4(x_1) -> 4(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. "[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] {(148,149,[0_1|0, 1_1|0, 2_1|0, 3_1|0, 4_1|0, 5_1|0, encArg_1|0, encode_0_1|0, encode_1_1|0, encode_2_1|0, encode_3_1|0, encode_5_1|0, encode_4_1|0]), (148,150,[0_1|1, 1_1|1, 2_1|1, 3_1|1, 4_1|1, 5_1|1]), (148,151,[0_1|2]), (148,160,[1_1|2]), (148,169,[0_1|2]), (148,178,[0_1|2]), (148,187,[0_1|2]), (148,196,[0_1|2]), (148,205,[1_1|2]), (148,214,[1_1|2]), (148,223,[0_1|2]), (148,232,[1_1|2]), (148,241,[0_1|2]), (148,250,[1_1|2]), (148,259,[3_1|2]), (148,268,[3_1|2]), (148,277,[1_1|2]), (148,286,[0_1|2]), (148,295,[0_1|2]), (148,304,[2_1|2]), (148,313,[3_1|2]), (148,322,[3_1|2]), (148,331,[0_1|2]), (148,340,[3_1|2]), (148,349,[0_1|2]), (148,358,[2_1|2]), (148,367,[0_1|2]), (148,376,[3_1|2]), (148,385,[0_1|2]), (148,394,[3_1|2]), (148,403,[3_1|2]), (148,412,[3_1|2]), (148,421,[3_1|2]), (148,430,[3_1|2]), (148,439,[1_1|2]), (148,448,[1_1|2]), (148,457,[0_1|2]), (148,466,[3_1|2]), (148,475,[4_1|2]), (148,484,[4_1|2]), (148,493,[4_1|2]), (148,502,[4_1|2]), (148,511,[5_1|2]), (148,520,[5_1|2]), (148,529,[4_1|2]), (148,538,[4_1|2]), (148,547,[5_1|2]), (148,556,[5_1|2]), (148,565,[5_1|2]), (148,574,[5_1|2]), (148,583,[5_1|2]), (148,592,[1_1|2]), (148,601,[5_1|2]), (148,610,[5_1|2]), (148,619,[1_1|3]), (149,149,[cons_0_1|0, cons_1_1|0, cons_2_1|0, cons_3_1|0, cons_4_1|0, cons_5_1|0]), (150,149,[encArg_1|1]), (150,150,[0_1|1, 1_1|1, 2_1|1, 3_1|1, 4_1|1, 5_1|1]), (150,151,[0_1|2]), (150,160,[1_1|2]), (150,169,[0_1|2]), (150,178,[0_1|2]), (150,187,[0_1|2]), (150,196,[0_1|2]), (150,205,[1_1|2]), (150,214,[1_1|2]), (150,223,[0_1|2]), (150,232,[1_1|2]), (150,241,[0_1|2]), (150,250,[1_1|2]), (150,259,[3_1|2]), (150,268,[3_1|2]), (150,277,[1_1|2]), (150,286,[0_1|2]), (150,295,[0_1|2]), (150,304,[2_1|2]), (150,313,[3_1|2]), (150,322,[3_1|2]), (150,331,[0_1|2]), (150,340,[3_1|2]), (150,349,[0_1|2]), (150,358,[2_1|2]), (150,367,[0_1|2]), (150,376,[3_1|2]), (150,385,[0_1|2]), (150,394,[3_1|2]), (150,403,[3_1|2]), (150,412,[3_1|2]), (150,421,[3_1|2]), (150,430,[3_1|2]), (150,439,[1_1|2]), (150,448,[1_1|2]), (150,457,[0_1|2]), (150,466,[3_1|2]), (150,475,[4_1|2]), (150,484,[4_1|2]), (150,493,[4_1|2]), (150,502,[4_1|2]), (150,511,[5_1|2]), (150,520,[5_1|2]), (150,529,[4_1|2]), (150,538,[4_1|2]), (150,547,[5_1|2]), (150,556,[5_1|2]), (150,565,[5_1|2]), (150,574,[5_1|2]), (150,583,[5_1|2]), (150,592,[1_1|2]), (150,601,[5_1|2]), (150,610,[5_1|2]), (150,619,[1_1|3]), (151,152,[0_1|2]), (152,153,[2_1|2]), (153,154,[2_1|2]), (154,155,[0_1|2]), (155,156,[1_1|2]), (156,157,[0_1|2]), (157,158,[5_1|2]), (158,159,[5_1|2]), (159,150,[4_1|2]), (159,259,[4_1|2]), (159,268,[4_1|2]), (159,313,[4_1|2]), (159,322,[4_1|2]), (159,340,[4_1|2]), (159,376,[4_1|2]), (159,394,[4_1|2]), (159,403,[4_1|2]), (159,412,[4_1|2]), (159,421,[4_1|2]), (159,430,[4_1|2]), (159,466,[4_1|2]), (159,475,[4_1|2]), (159,484,[4_1|2]), (159,493,[4_1|2]), (159,502,[4_1|2]), (159,511,[5_1|2]), (159,520,[5_1|2]), (159,529,[4_1|2]), (159,538,[4_1|2]), (160,161,[5_1|2]), (161,162,[4_1|2]), (162,163,[2_1|2]), (163,164,[2_1|2]), (164,165,[4_1|2]), (165,166,[2_1|2]), (166,167,[2_1|2]), (167,168,[4_1|2]), (168,150,[2_1|2]), (168,151,[2_1|2]), (168,169,[2_1|2]), (168,178,[2_1|2]), (168,187,[2_1|2]), (168,196,[2_1|2]), (168,223,[2_1|2]), (168,241,[2_1|2]), (168,286,[2_1|2, 0_1|2]), (168,295,[2_1|2, 0_1|2]), (168,331,[2_1|2, 0_1|2]), (168,349,[2_1|2, 0_1|2]), (168,367,[2_1|2, 0_1|2]), (168,385,[2_1|2]), (168,457,[2_1|2]), (168,485,[2_1|2]), (168,304,[2_1|2]), (168,313,[3_1|2]), (168,322,[3_1|2]), (168,340,[3_1|2]), (168,358,[2_1|2]), (168,628,[0_1|3]), (169,170,[2_1|2]), (170,171,[0_1|2]), (171,172,[1_1|2]), (172,173,[3_1|2]), (173,174,[4_1|2]), (174,175,[3_1|2]), (174,466,[3_1|2]), (175,176,[1_1|2]), (176,177,[5_1|2]), (176,592,[1_1|2]), (176,601,[5_1|2]), (177,150,[2_1|2]), (177,475,[2_1|2]), (177,484,[2_1|2]), (177,493,[2_1|2]), (177,502,[2_1|2]), (177,529,[2_1|2]), (177,538,[2_1|2]), (177,233,[2_1|2]), (177,286,[0_1|2]), (177,295,[0_1|2]), (177,304,[2_1|2]), (177,313,[3_1|2]), (177,322,[3_1|2]), (177,331,[0_1|2]), (177,340,[3_1|2]), (177,349,[0_1|2]), (177,358,[2_1|2]), (177,367,[0_1|2]), (177,628,[0_1|3]), (178,179,[4_1|2]), (179,180,[0_1|2]), (180,181,[3_1|2]), (181,182,[0_1|2]), (182,183,[4_1|2]), (183,184,[5_1|2]), (184,185,[1_1|2]), (185,186,[5_1|2]), (185,610,[5_1|2]), (186,150,[5_1|2]), (186,304,[5_1|2]), (186,358,[5_1|2]), (186,251,[5_1|2]), (186,547,[5_1|2]), (186,556,[5_1|2]), (186,565,[5_1|2]), (186,574,[5_1|2]), (186,583,[5_1|2]), (186,592,[1_1|2]), (186,601,[5_1|2]), (186,610,[5_1|2]), (187,188,[1_1|2]), (188,189,[0_1|2]), (189,190,[4_1|2]), (190,191,[5_1|2]), (191,192,[5_1|2]), (192,193,[4_1|2]), (193,194,[1_1|2]), (194,195,[5_1|2]), (194,547,[5_1|2]), (194,556,[5_1|2]), (194,565,[5_1|2]), (195,150,[3_1|2]), (195,259,[3_1|2]), (195,268,[3_1|2]), (195,313,[3_1|2]), (195,322,[3_1|2]), (195,340,[3_1|2]), (195,376,[3_1|2]), (195,394,[3_1|2]), (195,403,[3_1|2]), (195,412,[3_1|2]), (195,421,[3_1|2]), (195,430,[3_1|2]), (195,466,[3_1|2]), (195,512,[3_1|2]), (195,566,[3_1|2]), (195,385,[0_1|2]), (195,439,[1_1|2]), (195,448,[1_1|2]), (195,457,[0_1|2]), (196,197,[1_1|2]), (197,198,[0_1|2]), (198,199,[0_1|2]), (199,200,[2_1|2]), (200,201,[0_1|2]), (201,202,[3_1|2]), (202,203,[5_1|2]), (203,204,[3_1|2]), (203,376,[3_1|2]), (203,385,[0_1|2]), (203,394,[3_1|2]), (203,637,[3_1|3]), (204,150,[2_1|2]), (204,304,[2_1|2]), (204,358,[2_1|2]), (204,476,[2_1|2]), (204,494,[2_1|2]), (204,286,[0_1|2]), (204,295,[0_1|2]), (204,313,[3_1|2]), (204,322,[3_1|2]), (204,331,[0_1|2]), (204,340,[3_1|2]), (204,349,[0_1|2]), (204,367,[0_1|2]), (204,628,[0_1|3]), (205,206,[3_1|2]), (206,207,[4_1|2]), (207,208,[4_1|2]), (208,209,[1_1|2]), (209,210,[4_1|2]), (210,211,[1_1|2]), (211,212,[0_1|2]), (212,213,[1_1|2]), (213,150,[0_1|2]), (213,304,[0_1|2]), (213,358,[0_1|2]), (213,521,[0_1|2]), (213,151,[0_1|2]), (213,160,[1_1|2]), (213,169,[0_1|2]), (213,178,[0_1|2]), (213,187,[0_1|2]), (213,196,[0_1|2]), (214,215,[3_1|2]), (215,216,[2_1|2]), (216,217,[3_1|2]), (217,218,[0_1|2]), (218,219,[0_1|2]), (219,220,[5_1|2]), (220,221,[0_1|2]), (221,222,[3_1|2]), (222,150,[0_1|2]), (222,511,[0_1|2]), (222,520,[0_1|2]), (222,547,[0_1|2]), (222,556,[0_1|2]), (222,565,[0_1|2]), (222,574,[0_1|2]), (222,583,[0_1|2]), (222,601,[0_1|2]), (222,610,[0_1|2]), (222,151,[0_1|2]), (222,160,[1_1|2]), (222,169,[0_1|2]), (222,178,[0_1|2]), (222,187,[0_1|2]), (222,196,[0_1|2]), (223,224,[3_1|2]), (224,225,[3_1|2]), (225,226,[4_1|2]), (226,227,[3_1|2]), (227,228,[0_1|2]), (228,229,[1_1|2]), (229,230,[0_1|2]), (230,231,[3_1|2]), (230,403,[3_1|2]), (230,412,[3_1|2]), (230,421,[3_1|2]), (230,646,[3_1|3]), (231,150,[3_1|2]), (231,259,[3_1|2]), (231,268,[3_1|2]), (231,313,[3_1|2]), (231,322,[3_1|2]), (231,340,[3_1|2]), (231,376,[3_1|2]), (231,394,[3_1|2]), (231,403,[3_1|2]), (231,412,[3_1|2]), (231,421,[3_1|2]), (231,430,[3_1|2]), (231,466,[3_1|2]), (231,385,[0_1|2]), (231,439,[1_1|2]), (231,448,[1_1|2]), (231,457,[0_1|2]), (232,233,[4_1|2]), (233,234,[4_1|2]), (234,235,[0_1|2]), (235,236,[3_1|2]), (236,237,[2_1|2]), (237,238,[0_1|2]), (238,239,[2_1|2]), (239,240,[1_1|2]), (240,150,[0_1|2]), (240,151,[0_1|2]), (240,169,[0_1|2]), (240,178,[0_1|2]), (240,187,[0_1|2]), (240,196,[0_1|2]), (240,223,[0_1|2]), (240,241,[0_1|2]), (240,286,[0_1|2]), (240,295,[0_1|2]), (240,331,[0_1|2]), (240,349,[0_1|2]), (240,367,[0_1|2]), (240,385,[0_1|2]), (240,457,[0_1|2]), (240,485,[0_1|2]), (240,160,[1_1|2]), (241,242,[5_1|2]), (242,243,[4_1|2]), (243,244,[4_1|2]), (244,245,[1_1|2]), (245,246,[5_1|2]), (246,247,[0_1|2]), (247,248,[4_1|2]), (248,249,[4_1|2]), (249,150,[4_1|2]), (249,475,[4_1|2]), (249,484,[4_1|2]), (249,493,[4_1|2]), (249,502,[4_1|2]), (249,529,[4_1|2]), (249,538,[4_1|2]), (249,314,[4_1|2]), (249,467,[4_1|2]), (249,511,[5_1|2]), (249,520,[5_1|2]), (250,251,[2_1|2]), (251,252,[5_1|2]), (252,253,[2_1|2]), (253,254,[0_1|2]), (254,255,[0_1|2]), (255,256,[3_1|2]), (256,257,[1_1|2]), (257,258,[5_1|2]), (257,610,[5_1|2]), (258,150,[5_1|2]), (258,475,[5_1|2]), (258,484,[5_1|2]), (258,493,[5_1|2]), (258,502,[5_1|2]), (258,529,[5_1|2]), (258,538,[5_1|2]), (258,233,[5_1|2]), (258,547,[5_1|2]), (258,556,[5_1|2]), (258,565,[5_1|2]), (258,574,[5_1|2]), (258,583,[5_1|2]), (258,592,[1_1|2]), (258,601,[5_1|2]), (258,610,[5_1|2]), (259,260,[3_1|2]), (260,261,[3_1|2]), (261,262,[0_1|2]), (262,263,[4_1|2]), (263,264,[4_1|2]), (264,265,[0_1|2]), (265,266,[0_1|2]), (266,267,[3_1|2]), (266,403,[3_1|2]), (266,412,[3_1|2]), (266,421,[3_1|2]), (266,646,[3_1|3]), (267,150,[3_1|2]), (267,259,[3_1|2]), (267,268,[3_1|2]), (267,313,[3_1|2]), (267,322,[3_1|2]), (267,340,[3_1|2]), (267,376,[3_1|2]), (267,394,[3_1|2]), (267,403,[3_1|2]), (267,412,[3_1|2]), (267,421,[3_1|2]), (267,430,[3_1|2]), (267,466,[3_1|2]), (267,512,[3_1|2]), (267,566,[3_1|2]), (267,385,[0_1|2]), (267,439,[1_1|2]), (267,448,[1_1|2]), (267,457,[0_1|2]), (268,269,[1_1|2]), (269,270,[3_1|2]), (270,271,[3_1|2]), (271,272,[0_1|2]), (272,273,[1_1|2]), (273,274,[3_1|2]), (274,275,[4_1|2]), (275,276,[5_1|2]), (275,610,[5_1|2]), (276,150,[5_1|2]), (276,304,[5_1|2]), (276,358,[5_1|2]), (276,251,[5_1|2]), (276,547,[5_1|2]), (276,556,[5_1|2]), (276,565,[5_1|2]), (276,574,[5_1|2]), (276,583,[5_1|2]), (276,592,[1_1|2]), (276,601,[5_1|2]), (276,610,[5_1|2]), (277,278,[1_1|2]), (278,279,[0_1|2]), (279,280,[4_1|2]), 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(527,619,[1_1|3]), (528,150,[1_1|2]), (528,160,[1_1|2]), (528,205,[1_1|2]), (528,214,[1_1|2]), (528,232,[1_1|2]), (528,250,[1_1|2]), (528,277,[1_1|2]), (528,439,[1_1|2]), (528,448,[1_1|2]), (528,592,[1_1|2]), (528,223,[0_1|2]), (528,241,[0_1|2]), (528,259,[3_1|2]), (528,268,[3_1|2]), (528,619,[1_1|2, 1_1|3]), (529,530,[4_1|2]), (530,531,[5_1|2]), (531,532,[1_1|2]), (532,533,[1_1|2]), (533,534,[1_1|2]), (534,535,[5_1|2]), (535,536,[4_1|2]), (536,537,[4_1|2]), (537,150,[0_1|2]), (537,259,[0_1|2]), (537,268,[0_1|2]), (537,313,[0_1|2]), (537,322,[0_1|2]), (537,340,[0_1|2]), (537,376,[0_1|2]), (537,394,[0_1|2]), (537,403,[0_1|2]), (537,412,[0_1|2]), (537,421,[0_1|2]), (537,430,[0_1|2]), (537,466,[0_1|2]), (537,512,[0_1|2]), (537,566,[0_1|2]), (537,151,[0_1|2]), (537,160,[1_1|2]), (537,169,[0_1|2]), (537,178,[0_1|2]), (537,187,[0_1|2]), (537,196,[0_1|2]), (538,539,[4_1|2]), (539,540,[1_1|2]), (540,541,[4_1|2]), (541,542,[4_1|2]), (542,543,[3_1|2]), (543,544,[2_1|2]), (544,545,[1_1|2]), (545,546,[0_1|2]), (545,178,[0_1|2]), (546,150,[4_1|2]), (546,475,[4_1|2]), (546,484,[4_1|2]), (546,493,[4_1|2]), (546,502,[4_1|2]), (546,529,[4_1|2]), (546,538,[4_1|2]), (546,511,[5_1|2]), (546,520,[5_1|2]), (547,548,[5_1|2]), (548,549,[4_1|2]), (549,550,[1_1|2]), (550,551,[3_1|2]), (551,552,[0_1|2]), (552,553,[0_1|2]), (553,554,[3_1|2]), (554,555,[0_1|2]), (554,178,[0_1|2]), (555,150,[4_1|2]), (555,475,[4_1|2]), (555,484,[4_1|2]), (555,493,[4_1|2]), (555,502,[4_1|2]), (555,529,[4_1|2]), (555,538,[4_1|2]), (555,511,[5_1|2]), (555,520,[5_1|2]), (556,557,[0_1|2]), (557,558,[1_1|2]), (558,559,[0_1|2]), (559,560,[2_1|2]), (560,561,[0_1|2]), (561,562,[0_1|2]), (562,563,[0_1|2]), (563,564,[5_1|2]), (563,592,[1_1|2]), (563,601,[5_1|2]), (564,150,[2_1|2]), (564,304,[2_1|2]), (564,358,[2_1|2]), (564,521,[2_1|2]), (564,286,[0_1|2]), (564,295,[0_1|2]), (564,313,[3_1|2]), (564,322,[3_1|2]), (564,331,[0_1|2]), (564,340,[3_1|2]), (564,349,[0_1|2]), (564,367,[0_1|2]), (564,628,[0_1|3]), (565,566,[3_1|2]), (566,567,[0_1|2]), (567,568,[0_1|2]), (568,569,[0_1|2]), (569,570,[4_1|2]), (570,571,[1_1|2]), (571,572,[0_1|2]), (572,573,[4_1|2]), (573,150,[4_1|2]), (573,259,[4_1|2]), (573,268,[4_1|2]), (573,313,[4_1|2]), (573,322,[4_1|2]), (573,340,[4_1|2]), (573,376,[4_1|2]), (573,394,[4_1|2]), (573,403,[4_1|2]), (573,412,[4_1|2]), (573,421,[4_1|2]), (573,430,[4_1|2]), (573,466,[4_1|2]), (573,512,[4_1|2]), (573,566,[4_1|2]), (573,475,[4_1|2]), (573,484,[4_1|2]), (573,493,[4_1|2]), (573,502,[4_1|2]), (573,511,[5_1|2]), (573,520,[5_1|2]), (573,529,[4_1|2]), (573,538,[4_1|2]), (574,575,[4_1|2]), (575,576,[2_1|2]), (576,577,[1_1|2]), (577,578,[0_1|2]), (578,579,[2_1|2]), (579,580,[4_1|2]), (580,581,[3_1|2]), (581,582,[1_1|2]), (582,150,[0_1|2]), (582,151,[0_1|2]), (582,169,[0_1|2]), (582,178,[0_1|2]), (582,187,[0_1|2]), (582,196,[0_1|2]), (582,223,[0_1|2]), (582,241,[0_1|2]), (582,286,[0_1|2]), (582,295,[0_1|2]), (582,331,[0_1|2]), (582,349,[0_1|2]), (582,367,[0_1|2]), (582,385,[0_1|2]), (582,457,[0_1|2]), (582,305,[0_1|2]), (582,359,[0_1|2]), (582,160,[1_1|2]), (583,584,[0_1|2]), (584,585,[3_1|2]), (585,586,[4_1|2]), (586,587,[2_1|2]), (587,588,[1_1|2]), (588,589,[1_1|2]), (589,590,[5_1|2]), (589,610,[5_1|2]), (590,591,[5_1|2]), (590,547,[5_1|2]), (590,556,[5_1|2]), (590,565,[5_1|2]), (591,150,[3_1|2]), (591,511,[3_1|2]), (591,520,[3_1|2]), (591,547,[3_1|2]), (591,556,[3_1|2]), (591,565,[3_1|2]), (591,574,[3_1|2]), (591,583,[3_1|2]), (591,601,[3_1|2]), (591,610,[3_1|2]), (591,242,[3_1|2]), (591,376,[3_1|2]), (591,385,[0_1|2]), (591,394,[3_1|2]), (591,403,[3_1|2]), (591,412,[3_1|2]), (591,421,[3_1|2]), (591,430,[3_1|2]), (591,439,[1_1|2]), (591,448,[1_1|2]), (591,457,[0_1|2]), (591,466,[3_1|2]), (592,593,[5_1|2]), (593,594,[4_1|2]), (594,595,[5_1|2]), (595,596,[3_1|2]), (596,597,[2_1|2]), (597,598,[3_1|2]), (598,599,[2_1|2]), (599,600,[0_1|2]), (599,151,[0_1|2]), (599,160,[1_1|2]), (599,169,[0_1|2]), (599,655,[1_1|3]), (600,150,[1_1|2]), (600,160,[1_1|2]), (600,205,[1_1|2]), (600,214,[1_1|2]), (600,232,[1_1|2]), (600,250,[1_1|2]), (600,277,[1_1|2]), (600,439,[1_1|2]), (600,448,[1_1|2]), (600,592,[1_1|2]), (600,223,[0_1|2]), (600,241,[0_1|2]), (600,259,[3_1|2]), (600,268,[3_1|2]), (600,619,[1_1|2, 1_1|3]), (601,602,[4_1|2]), (602,603,[3_1|2]), (603,604,[0_1|2]), (604,605,[0_1|2]), (605,606,[4_1|2]), (606,607,[4_1|2]), (607,608,[1_1|2]), (608,609,[5_1|2]), (609,150,[0_1|2]), (609,151,[0_1|2]), (609,169,[0_1|2]), (609,178,[0_1|2]), (609,187,[0_1|2]), (609,196,[0_1|2]), (609,223,[0_1|2]), (609,241,[0_1|2]), (609,286,[0_1|2]), (609,295,[0_1|2]), (609,331,[0_1|2]), (609,349,[0_1|2]), (609,367,[0_1|2]), (609,385,[0_1|2]), (609,457,[0_1|2]), (609,557,[0_1|2]), (609,584,[0_1|2]), (609,160,[1_1|2]), (610,611,[4_1|2]), (611,612,[3_1|2]), (612,613,[0_1|2]), (613,614,[4_1|2]), (614,615,[2_1|2]), (615,616,[2_1|2]), (616,617,[4_1|2]), (617,618,[3_1|2]), (618,150,[0_1|2]), (618,259,[0_1|2]), (618,268,[0_1|2]), (618,313,[0_1|2]), (618,322,[0_1|2]), (618,340,[0_1|2]), (618,376,[0_1|2]), (618,394,[0_1|2]), (618,403,[0_1|2]), (618,412,[0_1|2]), (618,421,[0_1|2]), (618,430,[0_1|2]), (618,466,[0_1|2]), (618,512,[0_1|2]), (618,566,[0_1|2]), (618,151,[0_1|2]), (618,160,[1_1|2]), (618,169,[0_1|2]), (618,178,[0_1|2]), (618,187,[0_1|2]), (618,196,[0_1|2]), (619,620,[3_1|3]), (620,621,[4_1|3]), (621,622,[4_1|3]), (622,623,[1_1|3]), (623,624,[4_1|3]), (624,625,[1_1|3]), (625,626,[0_1|3]), (626,627,[1_1|3]), (627,253,[0_1|3]), (628,629,[2_1|3]), (629,630,[3_1|3]), (630,631,[2_1|3]), (631,632,[2_1|3]), (632,633,[0_1|3]), (633,634,[0_1|3]), (634,635,[5_1|3]), (635,636,[3_1|3]), (636,253,[2_1|3]), (637,638,[2_1|3]), (638,639,[3_1|3]), (639,640,[3_1|3]), (640,641,[2_1|3]), (641,642,[0_1|3]), (642,643,[1_1|3]), (643,644,[0_1|3]), (644,645,[0_1|3]), (645,512,[2_1|3]), (645,566,[2_1|3]), (646,647,[0_1|3]), (647,648,[1_1|3]), (648,649,[5_1|3]), (649,650,[4_1|3]), (650,651,[3_1|3]), (651,652,[1_1|3]), (652,653,[3_1|3]), (653,654,[0_1|3]), (654,557,[2_1|3]), (654,584,[2_1|3]), (655,656,[5_1|3]), (656,657,[4_1|3]), (657,658,[2_1|3]), (658,659,[2_1|3]), (659,660,[4_1|3]), (660,661,[2_1|3]), (661,662,[2_1|3]), (662,663,[4_1|3]), (663,485,[2_1|3]), (664,665,[3_1|3]), (665,666,[4_1|3]), (666,667,[4_1|3]), (667,668,[1_1|3]), (668,669,[4_1|3]), (669,670,[1_1|3]), (670,671,[0_1|3]), (671,672,[1_1|3]), (672,304,[0_1|3]), (672,358,[0_1|3]), (672,521,[0_1|3])}" ---------------------------------------- (8) BOUNDS(1, n^1)