/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# AProVE Commit ID: 794c25de1cacf0d048858bcd21c9a779e1221865 marcel 20200619 unpublished dirty The Derivational Complexity (full) of the given DCpxTrs could be proven to be BOUNDS(1, n^1).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), 44 ms] (4) CpxRelTRS (5) RelTrsToTrsProof [UPPER BOUND(ID), 0 ms] (6) CpxTRS (7) CpxTrsMatchBoundsProof [FINISHED, 131 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(0(1(x1)))) -> 2(3(2(2(4(2(2(4(0(5(x1)))))))))) 1(0(5(0(x1)))) -> 1(2(2(4(4(4(2(2(1(1(x1)))))))))) 0(3(0(1(4(x1))))) -> 2(2(4(2(4(0(5(5(1(4(x1)))))))))) 0(4(0(1(0(x1))))) -> 2(0(5(1(1(1(1(3(3(5(x1)))))))))) 0(5(0(0(1(x1))))) -> 0(5(1(1(1(4(4(3(1(5(x1)))))))))) 0(0(3(4(5(2(x1)))))) -> 2(3(4(2(4(1(4(2(1(1(x1)))))))))) 0(0(3(5(2(5(x1)))))) -> 2(4(1(1(2(2(5(2(3(5(x1)))))))))) 0(0(4(5(1(0(x1)))))) -> 3(1(4(4(3(1(2(4(1(1(x1)))))))))) 0(0(4(5(1(4(x1)))))) -> 3(4(2(4(1(4(2(0(5(4(x1)))))))))) 0(1(4(5(5(3(x1)))))) -> 2(2(4(4(4(5(0(3(2(4(x1)))))))))) 0(3(0(0(2(5(x1)))))) -> 2(4(0(3(2(4(2(5(2(5(x1)))))))))) 0(4(0(0(2(2(x1)))))) -> 2(2(4(0(3(2(3(0(2(2(x1)))))))))) 0(4(3(1(0(2(x1)))))) -> 2(2(2(4(1(1(0(3(5(2(x1)))))))))) 0(5(0(0(3(4(x1)))))) -> 2(4(2(0(1(4(5(2(2(4(x1)))))))))) 0(5(0(3(4(1(x1)))))) -> 2(4(3(2(1(4(3(1(3(1(x1)))))))))) 1(5(0(0(0(2(x1)))))) -> 1(1(1(5(5(1(5(2(2(4(x1)))))))))) 1(5(5(0(4(1(x1)))))) -> 1(1(4(4(2(4(3(3(2(1(x1)))))))))) 2(1(0(4(5(4(x1)))))) -> 2(2(4(2(1(0(2(3(3(4(x1)))))))))) 4(1(0(0(5(0(x1)))))) -> 4(1(5(1(4(4(1(1(5(1(x1)))))))))) 4(5(0(3(2(2(x1)))))) -> 4(2(2(4(2(5(2(2(4(2(x1)))))))))) 5(0(0(0(4(5(x1)))))) -> 5(0(5(4(1(1(4(4(3(5(x1)))))))))) 5(0(3(5(0(0(x1)))))) -> 5(2(2(3(1(5(1(1(5(5(x1)))))))))) 5(0(4(0(5(0(x1)))))) -> 0(5(4(4(4(2(4(4(2(0(x1)))))))))) 5(0(4(5(4(4(x1)))))) -> 2(1(5(2(4(4(4(1(4(2(x1)))))))))) 5(1(3(5(5(0(x1)))))) -> 5(2(3(2(1(5(4(4(4(1(x1)))))))))) 5(2(5(0(1(2(x1)))))) -> 5(2(4(2(4(0(1(5(2(4(x1)))))))))) 0(0(0(3(4(0(5(x1))))))) -> 0(1(5(4(1(1(5(1(1(5(x1)))))))))) 0(0(3(4(5(0(4(x1))))))) -> 3(2(1(1(5(4(5(3(5(3(x1)))))))))) 0(1(0(3(0(5(3(x1))))))) -> 2(2(0(2(1(4(3(5(5(3(x1)))))))))) 0(1(3(1(3(4(2(x1))))))) -> 5(4(4(2(1(1(1(1(5(4(x1)))))))))) 0(2(5(0(3(0(5(x1))))))) -> 2(4(5(2(4(0(0(1(1(5(x1)))))))))) 0(3(2(0(4(0(1(x1))))))) -> 3(2(0(0(4(2(4(1(3(1(x1)))))))))) 0(3(5(2(0(0(3(x1))))))) -> 2(0(2(3(3(4(3(4(2(3(x1)))))))))) 0(5(3(0(4(0(2(x1))))))) -> 2(2(1(0(5(1(3(2(1(4(x1)))))))))) 0(5(3(2(2(5(0(x1))))))) -> 2(3(2(1(2(2(4(1(5(1(x1)))))))))) 1(0(0(1(0(4(0(x1))))))) -> 1(4(1(3(2(2(1(5(4(5(x1)))))))))) 1(0(0(4(1(1(2(x1))))))) -> 2(2(4(0(2(0(5(4(1(2(x1)))))))))) 1(0(1(1(1(0(4(x1))))))) -> 1(4(1(1(4(0(3(3(0(2(x1)))))))))) 1(0(1(4(5(0(5(x1))))))) -> 4(1(1(1(1(4(1(0(1(5(x1)))))))))) 1(0(4(5(4(5(0(x1))))))) -> 2(2(1(2(0(2(5(3(1(1(x1)))))))))) 1(3(5(4(1(3(3(x1))))))) -> 1(4(4(2(0(1(1(5(3(3(x1)))))))))) 1(5(0(0(3(0(5(x1))))))) -> 1(1(4(1(5(0(5(5(1(5(x1)))))))))) 2(5(1(3(3(0(1(x1))))))) -> 2(1(3(4(3(2(4(5(5(5(x1)))))))))) 4(0(0(1(0(3(4(x1))))))) -> 4(3(2(3(3(1(5(5(2(0(x1)))))))))) 5(0(0(0(0(0(4(x1))))))) -> 2(4(2(1(3(1(1(2(3(2(x1)))))))))) 5(0(0(1(2(5(2(x1))))))) -> 5(2(0(2(2(1(5(4(5(2(x1)))))))))) 5(0(0(3(1(0(4(x1))))))) -> 3(1(2(4(3(4(3(4(2(1(x1)))))))))) 5(0(5(1(0(3(4(x1))))))) -> 5(5(4(1(2(2(2(4(1(5(x1)))))))))) 5(1(0(0(4(3(4(x1))))))) -> 5(4(3(2(3(2(2(5(4(4(x1)))))))))) 5(1(3(0(4(0(0(x1))))))) -> 5(1(4(1(4(5(2(2(3(5(x1)))))))))) 5(2(0(1(0(4(2(x1))))))) -> 2(5(1(1(4(1(1(4(1(2(x1)))))))))) S is empty. Rewrite Strategy: FULL ---------------------------------------- (1) DerivationalComplexityToRuntimeComplexityProof (BOTH BOUNDS(ID, ID)) The following rules have been added to S to convert the given derivational complexity problem to a runtime complexity problem: encArg(3(x_1)) -> 3(encArg(x_1)) 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_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_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(0(1(x1)))) -> 2(3(2(2(4(2(2(4(0(5(x1)))))))))) 1(0(5(0(x1)))) -> 1(2(2(4(4(4(2(2(1(1(x1)))))))))) 0(3(0(1(4(x1))))) -> 2(2(4(2(4(0(5(5(1(4(x1)))))))))) 0(4(0(1(0(x1))))) -> 2(0(5(1(1(1(1(3(3(5(x1)))))))))) 0(5(0(0(1(x1))))) -> 0(5(1(1(1(4(4(3(1(5(x1)))))))))) 0(0(3(4(5(2(x1)))))) -> 2(3(4(2(4(1(4(2(1(1(x1)))))))))) 0(0(3(5(2(5(x1)))))) -> 2(4(1(1(2(2(5(2(3(5(x1)))))))))) 0(0(4(5(1(0(x1)))))) -> 3(1(4(4(3(1(2(4(1(1(x1)))))))))) 0(0(4(5(1(4(x1)))))) -> 3(4(2(4(1(4(2(0(5(4(x1)))))))))) 0(1(4(5(5(3(x1)))))) -> 2(2(4(4(4(5(0(3(2(4(x1)))))))))) 0(3(0(0(2(5(x1)))))) -> 2(4(0(3(2(4(2(5(2(5(x1)))))))))) 0(4(0(0(2(2(x1)))))) -> 2(2(4(0(3(2(3(0(2(2(x1)))))))))) 0(4(3(1(0(2(x1)))))) -> 2(2(2(4(1(1(0(3(5(2(x1)))))))))) 0(5(0(0(3(4(x1)))))) -> 2(4(2(0(1(4(5(2(2(4(x1)))))))))) 0(5(0(3(4(1(x1)))))) -> 2(4(3(2(1(4(3(1(3(1(x1)))))))))) 1(5(0(0(0(2(x1)))))) -> 1(1(1(5(5(1(5(2(2(4(x1)))))))))) 1(5(5(0(4(1(x1)))))) -> 1(1(4(4(2(4(3(3(2(1(x1)))))))))) 2(1(0(4(5(4(x1)))))) -> 2(2(4(2(1(0(2(3(3(4(x1)))))))))) 4(1(0(0(5(0(x1)))))) -> 4(1(5(1(4(4(1(1(5(1(x1)))))))))) 4(5(0(3(2(2(x1)))))) -> 4(2(2(4(2(5(2(2(4(2(x1)))))))))) 5(0(0(0(4(5(x1)))))) -> 5(0(5(4(1(1(4(4(3(5(x1)))))))))) 5(0(3(5(0(0(x1)))))) -> 5(2(2(3(1(5(1(1(5(5(x1)))))))))) 5(0(4(0(5(0(x1)))))) -> 0(5(4(4(4(2(4(4(2(0(x1)))))))))) 5(0(4(5(4(4(x1)))))) -> 2(1(5(2(4(4(4(1(4(2(x1)))))))))) 5(1(3(5(5(0(x1)))))) -> 5(2(3(2(1(5(4(4(4(1(x1)))))))))) 5(2(5(0(1(2(x1)))))) -> 5(2(4(2(4(0(1(5(2(4(x1)))))))))) 0(0(0(3(4(0(5(x1))))))) -> 0(1(5(4(1(1(5(1(1(5(x1)))))))))) 0(0(3(4(5(0(4(x1))))))) -> 3(2(1(1(5(4(5(3(5(3(x1)))))))))) 0(1(0(3(0(5(3(x1))))))) -> 2(2(0(2(1(4(3(5(5(3(x1)))))))))) 0(1(3(1(3(4(2(x1))))))) -> 5(4(4(2(1(1(1(1(5(4(x1)))))))))) 0(2(5(0(3(0(5(x1))))))) -> 2(4(5(2(4(0(0(1(1(5(x1)))))))))) 0(3(2(0(4(0(1(x1))))))) -> 3(2(0(0(4(2(4(1(3(1(x1)))))))))) 0(3(5(2(0(0(3(x1))))))) -> 2(0(2(3(3(4(3(4(2(3(x1)))))))))) 0(5(3(0(4(0(2(x1))))))) -> 2(2(1(0(5(1(3(2(1(4(x1)))))))))) 0(5(3(2(2(5(0(x1))))))) -> 2(3(2(1(2(2(4(1(5(1(x1)))))))))) 1(0(0(1(0(4(0(x1))))))) -> 1(4(1(3(2(2(1(5(4(5(x1)))))))))) 1(0(0(4(1(1(2(x1))))))) -> 2(2(4(0(2(0(5(4(1(2(x1)))))))))) 1(0(1(1(1(0(4(x1))))))) -> 1(4(1(1(4(0(3(3(0(2(x1)))))))))) 1(0(1(4(5(0(5(x1))))))) -> 4(1(1(1(1(4(1(0(1(5(x1)))))))))) 1(0(4(5(4(5(0(x1))))))) -> 2(2(1(2(0(2(5(3(1(1(x1)))))))))) 1(3(5(4(1(3(3(x1))))))) -> 1(4(4(2(0(1(1(5(3(3(x1)))))))))) 1(5(0(0(3(0(5(x1))))))) -> 1(1(4(1(5(0(5(5(1(5(x1)))))))))) 2(5(1(3(3(0(1(x1))))))) -> 2(1(3(4(3(2(4(5(5(5(x1)))))))))) 4(0(0(1(0(3(4(x1))))))) -> 4(3(2(3(3(1(5(5(2(0(x1)))))))))) 5(0(0(0(0(0(4(x1))))))) -> 2(4(2(1(3(1(1(2(3(2(x1)))))))))) 5(0(0(1(2(5(2(x1))))))) -> 5(2(0(2(2(1(5(4(5(2(x1)))))))))) 5(0(0(3(1(0(4(x1))))))) -> 3(1(2(4(3(4(3(4(2(1(x1)))))))))) 5(0(5(1(0(3(4(x1))))))) -> 5(5(4(1(2(2(2(4(1(5(x1)))))))))) 5(1(0(0(4(3(4(x1))))))) -> 5(4(3(2(3(2(2(5(4(4(x1)))))))))) 5(1(3(0(4(0(0(x1))))))) -> 5(1(4(1(4(5(2(2(3(5(x1)))))))))) 5(2(0(1(0(4(2(x1))))))) -> 2(5(1(1(4(1(1(4(1(2(x1)))))))))) The (relative) TRS S consists of the following rules: encArg(3(x_1)) -> 3(encArg(x_1)) 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_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_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(0(1(x1)))) -> 2(3(2(2(4(2(2(4(0(5(x1)))))))))) 1(0(5(0(x1)))) -> 1(2(2(4(4(4(2(2(1(1(x1)))))))))) 0(3(0(1(4(x1))))) -> 2(2(4(2(4(0(5(5(1(4(x1)))))))))) 0(4(0(1(0(x1))))) -> 2(0(5(1(1(1(1(3(3(5(x1)))))))))) 0(5(0(0(1(x1))))) -> 0(5(1(1(1(4(4(3(1(5(x1)))))))))) 0(0(3(4(5(2(x1)))))) -> 2(3(4(2(4(1(4(2(1(1(x1)))))))))) 0(0(3(5(2(5(x1)))))) -> 2(4(1(1(2(2(5(2(3(5(x1)))))))))) 0(0(4(5(1(0(x1)))))) -> 3(1(4(4(3(1(2(4(1(1(x1)))))))))) 0(0(4(5(1(4(x1)))))) -> 3(4(2(4(1(4(2(0(5(4(x1)))))))))) 0(1(4(5(5(3(x1)))))) -> 2(2(4(4(4(5(0(3(2(4(x1)))))))))) 0(3(0(0(2(5(x1)))))) -> 2(4(0(3(2(4(2(5(2(5(x1)))))))))) 0(4(0(0(2(2(x1)))))) -> 2(2(4(0(3(2(3(0(2(2(x1)))))))))) 0(4(3(1(0(2(x1)))))) -> 2(2(2(4(1(1(0(3(5(2(x1)))))))))) 0(5(0(0(3(4(x1)))))) -> 2(4(2(0(1(4(5(2(2(4(x1)))))))))) 0(5(0(3(4(1(x1)))))) -> 2(4(3(2(1(4(3(1(3(1(x1)))))))))) 1(5(0(0(0(2(x1)))))) -> 1(1(1(5(5(1(5(2(2(4(x1)))))))))) 1(5(5(0(4(1(x1)))))) -> 1(1(4(4(2(4(3(3(2(1(x1)))))))))) 2(1(0(4(5(4(x1)))))) -> 2(2(4(2(1(0(2(3(3(4(x1)))))))))) 4(1(0(0(5(0(x1)))))) -> 4(1(5(1(4(4(1(1(5(1(x1)))))))))) 4(5(0(3(2(2(x1)))))) -> 4(2(2(4(2(5(2(2(4(2(x1)))))))))) 5(0(0(0(4(5(x1)))))) -> 5(0(5(4(1(1(4(4(3(5(x1)))))))))) 5(0(3(5(0(0(x1)))))) -> 5(2(2(3(1(5(1(1(5(5(x1)))))))))) 5(0(4(0(5(0(x1)))))) -> 0(5(4(4(4(2(4(4(2(0(x1)))))))))) 5(0(4(5(4(4(x1)))))) -> 2(1(5(2(4(4(4(1(4(2(x1)))))))))) 5(1(3(5(5(0(x1)))))) -> 5(2(3(2(1(5(4(4(4(1(x1)))))))))) 5(2(5(0(1(2(x1)))))) -> 5(2(4(2(4(0(1(5(2(4(x1)))))))))) 0(0(0(3(4(0(5(x1))))))) -> 0(1(5(4(1(1(5(1(1(5(x1)))))))))) 0(0(3(4(5(0(4(x1))))))) -> 3(2(1(1(5(4(5(3(5(3(x1)))))))))) 0(1(0(3(0(5(3(x1))))))) -> 2(2(0(2(1(4(3(5(5(3(x1)))))))))) 0(1(3(1(3(4(2(x1))))))) -> 5(4(4(2(1(1(1(1(5(4(x1)))))))))) 0(2(5(0(3(0(5(x1))))))) -> 2(4(5(2(4(0(0(1(1(5(x1)))))))))) 0(3(2(0(4(0(1(x1))))))) -> 3(2(0(0(4(2(4(1(3(1(x1)))))))))) 0(3(5(2(0(0(3(x1))))))) -> 2(0(2(3(3(4(3(4(2(3(x1)))))))))) 0(5(3(0(4(0(2(x1))))))) -> 2(2(1(0(5(1(3(2(1(4(x1)))))))))) 0(5(3(2(2(5(0(x1))))))) -> 2(3(2(1(2(2(4(1(5(1(x1)))))))))) 1(0(0(1(0(4(0(x1))))))) -> 1(4(1(3(2(2(1(5(4(5(x1)))))))))) 1(0(0(4(1(1(2(x1))))))) -> 2(2(4(0(2(0(5(4(1(2(x1)))))))))) 1(0(1(1(1(0(4(x1))))))) -> 1(4(1(1(4(0(3(3(0(2(x1)))))))))) 1(0(1(4(5(0(5(x1))))))) -> 4(1(1(1(1(4(1(0(1(5(x1)))))))))) 1(0(4(5(4(5(0(x1))))))) -> 2(2(1(2(0(2(5(3(1(1(x1)))))))))) 1(3(5(4(1(3(3(x1))))))) -> 1(4(4(2(0(1(1(5(3(3(x1)))))))))) 1(5(0(0(3(0(5(x1))))))) -> 1(1(4(1(5(0(5(5(1(5(x1)))))))))) 2(5(1(3(3(0(1(x1))))))) -> 2(1(3(4(3(2(4(5(5(5(x1)))))))))) 4(0(0(1(0(3(4(x1))))))) -> 4(3(2(3(3(1(5(5(2(0(x1)))))))))) 5(0(0(0(0(0(4(x1))))))) -> 2(4(2(1(3(1(1(2(3(2(x1)))))))))) 5(0(0(1(2(5(2(x1))))))) -> 5(2(0(2(2(1(5(4(5(2(x1)))))))))) 5(0(0(3(1(0(4(x1))))))) -> 3(1(2(4(3(4(3(4(2(1(x1)))))))))) 5(0(5(1(0(3(4(x1))))))) -> 5(5(4(1(2(2(2(4(1(5(x1)))))))))) 5(1(0(0(4(3(4(x1))))))) -> 5(4(3(2(3(2(2(5(4(4(x1)))))))))) 5(1(3(0(4(0(0(x1))))))) -> 5(1(4(1(4(5(2(2(3(5(x1)))))))))) 5(2(0(1(0(4(2(x1))))))) -> 2(5(1(1(4(1(1(4(1(2(x1)))))))))) The (relative) TRS S consists of the following rules: encArg(3(x_1)) -> 3(encArg(x_1)) 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_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_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(0(1(x1)))) -> 2(3(2(2(4(2(2(4(0(5(x1)))))))))) 1(0(5(0(x1)))) -> 1(2(2(4(4(4(2(2(1(1(x1)))))))))) 0(3(0(1(4(x1))))) -> 2(2(4(2(4(0(5(5(1(4(x1)))))))))) 0(4(0(1(0(x1))))) -> 2(0(5(1(1(1(1(3(3(5(x1)))))))))) 0(5(0(0(1(x1))))) -> 0(5(1(1(1(4(4(3(1(5(x1)))))))))) 0(0(3(4(5(2(x1)))))) -> 2(3(4(2(4(1(4(2(1(1(x1)))))))))) 0(0(3(5(2(5(x1)))))) -> 2(4(1(1(2(2(5(2(3(5(x1)))))))))) 0(0(4(5(1(0(x1)))))) -> 3(1(4(4(3(1(2(4(1(1(x1)))))))))) 0(0(4(5(1(4(x1)))))) -> 3(4(2(4(1(4(2(0(5(4(x1)))))))))) 0(1(4(5(5(3(x1)))))) -> 2(2(4(4(4(5(0(3(2(4(x1)))))))))) 0(3(0(0(2(5(x1)))))) -> 2(4(0(3(2(4(2(5(2(5(x1)))))))))) 0(4(0(0(2(2(x1)))))) -> 2(2(4(0(3(2(3(0(2(2(x1)))))))))) 0(4(3(1(0(2(x1)))))) -> 2(2(2(4(1(1(0(3(5(2(x1)))))))))) 0(5(0(0(3(4(x1)))))) -> 2(4(2(0(1(4(5(2(2(4(x1)))))))))) 0(5(0(3(4(1(x1)))))) -> 2(4(3(2(1(4(3(1(3(1(x1)))))))))) 1(5(0(0(0(2(x1)))))) -> 1(1(1(5(5(1(5(2(2(4(x1)))))))))) 1(5(5(0(4(1(x1)))))) -> 1(1(4(4(2(4(3(3(2(1(x1)))))))))) 2(1(0(4(5(4(x1)))))) -> 2(2(4(2(1(0(2(3(3(4(x1)))))))))) 4(1(0(0(5(0(x1)))))) -> 4(1(5(1(4(4(1(1(5(1(x1)))))))))) 4(5(0(3(2(2(x1)))))) -> 4(2(2(4(2(5(2(2(4(2(x1)))))))))) 5(0(0(0(4(5(x1)))))) -> 5(0(5(4(1(1(4(4(3(5(x1)))))))))) 5(0(3(5(0(0(x1)))))) -> 5(2(2(3(1(5(1(1(5(5(x1)))))))))) 5(0(4(0(5(0(x1)))))) -> 0(5(4(4(4(2(4(4(2(0(x1)))))))))) 5(0(4(5(4(4(x1)))))) -> 2(1(5(2(4(4(4(1(4(2(x1)))))))))) 5(1(3(5(5(0(x1)))))) -> 5(2(3(2(1(5(4(4(4(1(x1)))))))))) 5(2(5(0(1(2(x1)))))) -> 5(2(4(2(4(0(1(5(2(4(x1)))))))))) 0(0(0(3(4(0(5(x1))))))) -> 0(1(5(4(1(1(5(1(1(5(x1)))))))))) 0(0(3(4(5(0(4(x1))))))) -> 3(2(1(1(5(4(5(3(5(3(x1)))))))))) 0(1(0(3(0(5(3(x1))))))) -> 2(2(0(2(1(4(3(5(5(3(x1)))))))))) 0(1(3(1(3(4(2(x1))))))) -> 5(4(4(2(1(1(1(1(5(4(x1)))))))))) 0(2(5(0(3(0(5(x1))))))) -> 2(4(5(2(4(0(0(1(1(5(x1)))))))))) 0(3(2(0(4(0(1(x1))))))) -> 3(2(0(0(4(2(4(1(3(1(x1)))))))))) 0(3(5(2(0(0(3(x1))))))) -> 2(0(2(3(3(4(3(4(2(3(x1)))))))))) 0(5(3(0(4(0(2(x1))))))) -> 2(2(1(0(5(1(3(2(1(4(x1)))))))))) 0(5(3(2(2(5(0(x1))))))) -> 2(3(2(1(2(2(4(1(5(1(x1)))))))))) 1(0(0(1(0(4(0(x1))))))) -> 1(4(1(3(2(2(1(5(4(5(x1)))))))))) 1(0(0(4(1(1(2(x1))))))) -> 2(2(4(0(2(0(5(4(1(2(x1)))))))))) 1(0(1(1(1(0(4(x1))))))) -> 1(4(1(1(4(0(3(3(0(2(x1)))))))))) 1(0(1(4(5(0(5(x1))))))) -> 4(1(1(1(1(4(1(0(1(5(x1)))))))))) 1(0(4(5(4(5(0(x1))))))) -> 2(2(1(2(0(2(5(3(1(1(x1)))))))))) 1(3(5(4(1(3(3(x1))))))) -> 1(4(4(2(0(1(1(5(3(3(x1)))))))))) 1(5(0(0(3(0(5(x1))))))) -> 1(1(4(1(5(0(5(5(1(5(x1)))))))))) 2(5(1(3(3(0(1(x1))))))) -> 2(1(3(4(3(2(4(5(5(5(x1)))))))))) 4(0(0(1(0(3(4(x1))))))) -> 4(3(2(3(3(1(5(5(2(0(x1)))))))))) 5(0(0(0(0(0(4(x1))))))) -> 2(4(2(1(3(1(1(2(3(2(x1)))))))))) 5(0(0(1(2(5(2(x1))))))) -> 5(2(0(2(2(1(5(4(5(2(x1)))))))))) 5(0(0(3(1(0(4(x1))))))) -> 3(1(2(4(3(4(3(4(2(1(x1)))))))))) 5(0(5(1(0(3(4(x1))))))) -> 5(5(4(1(2(2(2(4(1(5(x1)))))))))) 5(1(0(0(4(3(4(x1))))))) -> 5(4(3(2(3(2(2(5(4(4(x1)))))))))) 5(1(3(0(4(0(0(x1))))))) -> 5(1(4(1(4(5(2(2(3(5(x1)))))))))) 5(2(0(1(0(4(2(x1))))))) -> 2(5(1(1(4(1(1(4(1(2(x1)))))))))) encArg(3(x_1)) -> 3(encArg(x_1)) 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_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_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 2. The certificate found is represented by the following graph. "[101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 254, 255, 256, 257, 258, 259, 260, 261, 262, 263, 264, 265, 266, 267, 268, 269, 270, 271, 272, 273, 274, 275, 276, 277, 278, 279, 280, 281, 282, 283, 284, 285, 286, 287, 288, 289, 290, 291, 292, 293, 294, 295, 296, 297, 298, 299, 300, 301, 302, 303, 304, 305, 306, 307, 308, 309, 310, 311, 312, 313, 314, 315, 316, 317, 318, 319, 320, 321, 322, 323, 324, 325, 326, 327, 328, 329, 330, 331, 332, 333, 334, 335, 336, 337, 338, 339, 340, 341, 342, 343, 344, 345, 346, 347, 348, 349, 350, 351, 352, 353, 354, 355, 356, 357, 358, 359, 360, 361, 362, 363, 364, 365, 366, 367, 368, 369, 370, 371, 372, 373, 374, 375, 376, 377, 378, 379, 380, 381, 382, 383, 384, 385, 386, 387, 388, 389, 390, 391, 392, 393, 394, 395, 396, 397, 398, 399, 400, 401, 402, 403, 404, 405, 406, 407, 408, 409, 410, 411, 412, 413, 414, 415, 416, 417, 418, 419, 420, 421, 422, 423, 424, 425, 426, 427, 428, 429, 430, 431, 432, 433, 434, 435, 436, 437, 438, 439, 440, 441, 442, 443, 444, 445, 446, 447, 448, 449, 450, 451, 452, 453, 454, 455, 456, 457, 458, 459, 460, 461, 462, 463, 464, 465, 466, 467, 468, 469, 470, 471, 472, 473, 474, 475, 476, 477, 478, 479, 480, 481, 482, 483, 484, 485, 486, 487, 488, 489, 490, 491, 492, 493, 494, 495, 496, 497, 498, 499, 500, 501, 502, 503, 504, 505, 506, 507, 508, 509, 510, 511, 512, 513, 514, 515, 516, 517, 518, 519, 520, 521, 522, 523, 524, 525, 526, 527, 528, 529, 530, 531, 532, 533, 534, 535, 536, 537, 538, 539, 540, 541, 542, 543, 544, 545, 546, 547, 548, 549, 550, 551, 552, 553, 554, 555, 556, 557, 558, 559, 560, 561, 562] {(101,102,[0_1|0, 1_1|0, 2_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_4_1|0, encode_5_1|0]), (101,103,[3_1|1, 0_1|1, 1_1|1, 2_1|1, 4_1|1, 5_1|1]), (101,104,[2_1|2]), (101,113,[0_1|2]), (101,122,[2_1|2]), (101,131,[3_1|2]), (101,140,[2_1|2]), (101,149,[3_1|2]), (101,158,[3_1|2]), (101,167,[2_1|2]), (101,176,[2_1|2]), (101,185,[3_1|2]), (101,194,[2_1|2]), (101,203,[2_1|2]), (101,212,[2_1|2]), (101,221,[2_1|2]), (101,230,[0_1|2]), (101,239,[2_1|2]), (101,248,[2_1|2]), (101,257,[2_1|2]), (101,266,[2_1|2]), (101,275,[2_1|2]), (101,284,[2_1|2]), (101,293,[5_1|2]), (101,302,[2_1|2]), (101,311,[1_1|2]), (101,320,[1_1|2]), (101,329,[2_1|2]), (101,338,[1_1|2]), (101,347,[4_1|2]), (101,356,[2_1|2]), (101,365,[1_1|2]), (101,374,[1_1|2]), (101,383,[1_1|2]), (101,392,[1_1|2]), (101,401,[2_1|2]), (101,410,[2_1|2]), (101,419,[4_1|2]), (101,428,[4_1|2]), (101,437,[4_1|2]), (101,446,[5_1|2]), (101,455,[2_1|2]), (101,464,[5_1|2]), (101,473,[3_1|2]), (101,482,[5_1|2]), (101,491,[0_1|2]), (101,500,[2_1|2]), (101,509,[5_1|2]), (101,518,[5_1|2]), (101,527,[5_1|2]), (101,536,[5_1|2]), (101,545,[5_1|2]), (101,554,[2_1|2]), (102,102,[3_1|0, cons_0_1|0, cons_1_1|0, cons_2_1|0, cons_4_1|0, cons_5_1|0]), (103,102,[encArg_1|1]), (103,103,[3_1|1, 0_1|1, 1_1|1, 2_1|1, 4_1|1, 5_1|1]), (103,104,[2_1|2]), (103,113,[0_1|2]), (103,122,[2_1|2]), (103,131,[3_1|2]), (103,140,[2_1|2]), (103,149,[3_1|2]), (103,158,[3_1|2]), (103,167,[2_1|2]), (103,176,[2_1|2]), (103,185,[3_1|2]), (103,194,[2_1|2]), (103,203,[2_1|2]), (103,212,[2_1|2]), (103,221,[2_1|2]), (103,230,[0_1|2]), (103,239,[2_1|2]), (103,248,[2_1|2]), (103,257,[2_1|2]), (103,266,[2_1|2]), (103,275,[2_1|2]), (103,284,[2_1|2]), (103,293,[5_1|2]), (103,302,[2_1|2]), (103,311,[1_1|2]), (103,320,[1_1|2]), (103,329,[2_1|2]), (103,338,[1_1|2]), (103,347,[4_1|2]), (103,356,[2_1|2]), (103,365,[1_1|2]), (103,374,[1_1|2]), (103,383,[1_1|2]), (103,392,[1_1|2]), (103,401,[2_1|2]), (103,410,[2_1|2]), (103,419,[4_1|2]), (103,428,[4_1|2]), (103,437,[4_1|2]), (103,446,[5_1|2]), (103,455,[2_1|2]), (103,464,[5_1|2]), (103,473,[3_1|2]), (103,482,[5_1|2]), (103,491,[0_1|2]), (103,500,[2_1|2]), (103,509,[5_1|2]), (103,518,[5_1|2]), (103,527,[5_1|2]), (103,536,[5_1|2]), (103,545,[5_1|2]), (103,554,[2_1|2]), (104,105,[3_1|2]), (105,106,[2_1|2]), (106,107,[2_1|2]), (107,108,[4_1|2]), (108,109,[2_1|2]), (109,110,[2_1|2]), (110,111,[4_1|2]), (111,112,[0_1|2]), (111,230,[0_1|2]), (111,239,[2_1|2]), (111,248,[2_1|2]), (111,257,[2_1|2]), (111,266,[2_1|2]), (112,103,[5_1|2]), (112,311,[5_1|2]), (112,320,[5_1|2]), (112,338,[5_1|2]), (112,365,[5_1|2]), (112,374,[5_1|2]), (112,383,[5_1|2]), (112,392,[5_1|2]), (112,114,[5_1|2]), (112,446,[5_1|2]), (112,455,[2_1|2]), (112,464,[5_1|2]), (112,473,[3_1|2]), (112,482,[5_1|2]), (112,491,[0_1|2]), (112,500,[2_1|2]), (112,509,[5_1|2]), (112,518,[5_1|2]), (112,527,[5_1|2]), (112,536,[5_1|2]), (112,545,[5_1|2]), (112,554,[2_1|2]), (113,114,[1_1|2]), (114,115,[5_1|2]), (115,116,[4_1|2]), (116,117,[1_1|2]), (117,118,[1_1|2]), (118,119,[5_1|2]), (119,120,[1_1|2]), (120,121,[1_1|2]), (120,365,[1_1|2]), (120,374,[1_1|2]), (120,383,[1_1|2]), (121,103,[5_1|2]), (121,293,[5_1|2]), (121,446,[5_1|2]), (121,464,[5_1|2]), (121,482,[5_1|2]), (121,509,[5_1|2]), (121,518,[5_1|2]), (121,527,[5_1|2]), (121,536,[5_1|2]), (121,545,[5_1|2]), (121,231,[5_1|2]), (121,492,[5_1|2]), (121,455,[2_1|2]), (121,473,[3_1|2]), (121,491,[0_1|2]), (121,500,[2_1|2]), (121,554,[2_1|2]), (122,123,[3_1|2]), (123,124,[4_1|2]), (124,125,[2_1|2]), (125,126,[4_1|2]), (126,127,[1_1|2]), (127,128,[4_1|2]), (128,129,[2_1|2]), (129,130,[1_1|2]), (130,103,[1_1|2]), (130,104,[1_1|2]), (130,122,[1_1|2]), (130,140,[1_1|2]), (130,167,[1_1|2]), (130,176,[1_1|2]), (130,194,[1_1|2]), (130,203,[1_1|2]), (130,212,[1_1|2]), (130,221,[1_1|2]), (130,239,[1_1|2]), (130,248,[1_1|2]), (130,257,[1_1|2]), (130,266,[1_1|2]), (130,275,[1_1|2]), (130,284,[1_1|2]), (130,302,[1_1|2]), (130,329,[1_1|2, 2_1|2]), (130,356,[1_1|2, 2_1|2]), (130,401,[1_1|2]), (130,410,[1_1|2]), (130,455,[1_1|2]), (130,500,[1_1|2]), (130,554,[1_1|2]), (130,465,[1_1|2]), (130,483,[1_1|2]), (130,519,[1_1|2]), (130,546,[1_1|2]), (130,311,[1_1|2]), (130,320,[1_1|2]), (130,338,[1_1|2]), (130,347,[4_1|2]), (130,365,[1_1|2]), (130,374,[1_1|2]), (130,383,[1_1|2]), (130,392,[1_1|2]), (131,132,[2_1|2]), (132,133,[1_1|2]), (133,134,[1_1|2]), (134,135,[5_1|2]), (135,136,[4_1|2]), (136,137,[5_1|2]), (137,138,[3_1|2]), (138,139,[5_1|2]), (139,103,[3_1|2]), (139,347,[3_1|2]), (139,419,[3_1|2]), (139,428,[3_1|2]), (139,437,[3_1|2]), (140,141,[4_1|2]), (141,142,[1_1|2]), (142,143,[1_1|2]), (143,144,[2_1|2]), (144,145,[2_1|2]), (145,146,[5_1|2]), (146,147,[2_1|2]), (147,148,[3_1|2]), (148,103,[5_1|2]), (148,293,[5_1|2]), (148,446,[5_1|2]), (148,464,[5_1|2]), (148,482,[5_1|2]), (148,509,[5_1|2]), (148,518,[5_1|2]), (148,527,[5_1|2]), (148,536,[5_1|2]), (148,545,[5_1|2]), (148,555,[5_1|2]), (148,455,[2_1|2]), (148,473,[3_1|2]), (148,491,[0_1|2]), (148,500,[2_1|2]), (148,554,[2_1|2]), (149,150,[1_1|2]), (150,151,[4_1|2]), (151,152,[4_1|2]), (152,153,[3_1|2]), (153,154,[1_1|2]), (154,155,[2_1|2]), (155,156,[4_1|2]), (156,157,[1_1|2]), (157,103,[1_1|2]), (157,113,[1_1|2]), (157,230,[1_1|2]), (157,491,[1_1|2]), (157,311,[1_1|2]), (157,320,[1_1|2]), (157,329,[2_1|2]), (157,338,[1_1|2]), (157,347,[4_1|2]), (157,356,[2_1|2]), (157,365,[1_1|2]), (157,374,[1_1|2]), (157,383,[1_1|2]), (157,392,[1_1|2]), (158,159,[4_1|2]), (159,160,[2_1|2]), (160,161,[4_1|2]), (161,162,[1_1|2]), (162,163,[4_1|2]), (163,164,[2_1|2]), (164,165,[0_1|2]), (165,166,[5_1|2]), (166,103,[4_1|2]), (166,347,[4_1|2]), (166,419,[4_1|2]), (166,428,[4_1|2]), (166,437,[4_1|2]), (166,321,[4_1|2]), (166,339,[4_1|2]), (166,393,[4_1|2]), (166,529,[4_1|2]), (167,168,[2_1|2]), (168,169,[4_1|2]), (169,170,[2_1|2]), (170,171,[4_1|2]), (171,172,[0_1|2]), (172,173,[5_1|2]), (173,174,[5_1|2]), (174,175,[1_1|2]), (175,103,[4_1|2]), (175,347,[4_1|2]), (175,419,[4_1|2]), (175,428,[4_1|2]), (175,437,[4_1|2]), (175,321,[4_1|2]), (175,339,[4_1|2]), (175,393,[4_1|2]), (176,177,[4_1|2]), (177,178,[0_1|2]), (178,179,[3_1|2]), (179,180,[2_1|2]), (180,181,[4_1|2]), (181,182,[2_1|2]), (182,183,[5_1|2]), (182,545,[5_1|2]), (183,184,[2_1|2]), (183,410,[2_1|2]), (184,103,[5_1|2]), (184,293,[5_1|2]), (184,446,[5_1|2]), (184,464,[5_1|2]), (184,482,[5_1|2]), (184,509,[5_1|2]), (184,518,[5_1|2]), (184,527,[5_1|2]), (184,536,[5_1|2]), (184,545,[5_1|2]), (184,555,[5_1|2]), (184,455,[2_1|2]), (184,473,[3_1|2]), (184,491,[0_1|2]), (184,500,[2_1|2]), (184,554,[2_1|2]), (185,186,[2_1|2]), (186,187,[0_1|2]), (187,188,[0_1|2]), (188,189,[4_1|2]), (189,190,[2_1|2]), (190,191,[4_1|2]), (191,192,[1_1|2]), (192,193,[3_1|2]), (193,103,[1_1|2]), (193,311,[1_1|2]), (193,320,[1_1|2]), (193,338,[1_1|2]), (193,365,[1_1|2]), (193,374,[1_1|2]), (193,383,[1_1|2]), (193,392,[1_1|2]), (193,114,[1_1|2]), (193,329,[2_1|2]), (193,347,[4_1|2]), (193,356,[2_1|2]), (194,195,[0_1|2]), (195,196,[2_1|2]), (196,197,[3_1|2]), (197,198,[3_1|2]), (198,199,[4_1|2]), (199,200,[3_1|2]), (200,201,[4_1|2]), (201,202,[2_1|2]), (202,103,[3_1|2]), (202,131,[3_1|2]), (202,149,[3_1|2]), (202,158,[3_1|2]), (202,185,[3_1|2]), (202,473,[3_1|2]), (203,204,[0_1|2]), (204,205,[5_1|2]), (205,206,[1_1|2]), (206,207,[1_1|2]), (207,208,[1_1|2]), (208,209,[1_1|2]), (209,210,[3_1|2]), (210,211,[3_1|2]), (211,103,[5_1|2]), (211,113,[5_1|2]), (211,230,[5_1|2]), (211,491,[5_1|2, 0_1|2]), (211,446,[5_1|2]), (211,455,[2_1|2]), (211,464,[5_1|2]), (211,473,[3_1|2]), (211,482,[5_1|2]), (211,500,[2_1|2]), (211,509,[5_1|2]), (211,518,[5_1|2]), (211,527,[5_1|2]), (211,536,[5_1|2]), (211,545,[5_1|2]), (211,554,[2_1|2]), (212,213,[2_1|2]), (213,214,[4_1|2]), (214,215,[0_1|2]), (215,216,[3_1|2]), (216,217,[2_1|2]), (217,218,[3_1|2]), (218,219,[0_1|2]), (219,220,[2_1|2]), (220,103,[2_1|2]), (220,104,[2_1|2]), (220,122,[2_1|2]), (220,140,[2_1|2]), (220,167,[2_1|2]), (220,176,[2_1|2]), (220,194,[2_1|2]), (220,203,[2_1|2]), (220,212,[2_1|2]), (220,221,[2_1|2]), (220,239,[2_1|2]), (220,248,[2_1|2]), (220,257,[2_1|2]), (220,266,[2_1|2]), (220,275,[2_1|2]), (220,284,[2_1|2]), (220,302,[2_1|2]), (220,329,[2_1|2]), (220,356,[2_1|2]), (220,401,[2_1|2]), (220,410,[2_1|2]), (220,455,[2_1|2]), (220,500,[2_1|2]), (220,554,[2_1|2]), (220,168,[2_1|2]), (220,213,[2_1|2]), (220,222,[2_1|2]), (220,258,[2_1|2]), (220,276,[2_1|2]), (220,285,[2_1|2]), (220,330,[2_1|2]), (220,357,[2_1|2]), (220,402,[2_1|2]), (221,222,[2_1|2]), (222,223,[2_1|2]), (223,224,[4_1|2]), (224,225,[1_1|2]), (225,226,[1_1|2]), (226,227,[0_1|2]), (226,194,[2_1|2]), (227,228,[3_1|2]), (228,229,[5_1|2]), (228,545,[5_1|2]), (228,554,[2_1|2]), (229,103,[2_1|2]), (229,104,[2_1|2]), (229,122,[2_1|2]), (229,140,[2_1|2]), (229,167,[2_1|2]), (229,176,[2_1|2]), (229,194,[2_1|2]), (229,203,[2_1|2]), (229,212,[2_1|2]), (229,221,[2_1|2]), (229,239,[2_1|2]), (229,248,[2_1|2]), (229,257,[2_1|2]), (229,266,[2_1|2]), (229,275,[2_1|2]), (229,284,[2_1|2]), (229,302,[2_1|2]), (229,329,[2_1|2]), (229,356,[2_1|2]), (229,401,[2_1|2]), (229,410,[2_1|2]), (229,455,[2_1|2]), (229,500,[2_1|2]), (229,554,[2_1|2]), (230,231,[5_1|2]), (231,232,[1_1|2]), (232,233,[1_1|2]), (233,234,[1_1|2]), (234,235,[4_1|2]), (235,236,[4_1|2]), (236,237,[3_1|2]), (237,238,[1_1|2]), (237,365,[1_1|2]), (237,374,[1_1|2]), (237,383,[1_1|2]), (238,103,[5_1|2]), (238,311,[5_1|2]), (238,320,[5_1|2]), (238,338,[5_1|2]), (238,365,[5_1|2]), (238,374,[5_1|2]), (238,383,[5_1|2]), (238,392,[5_1|2]), (238,114,[5_1|2]), (238,446,[5_1|2]), (238,455,[2_1|2]), (238,464,[5_1|2]), 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(494,495,[4_1|2]), (495,496,[2_1|2]), (496,497,[4_1|2]), (497,498,[4_1|2]), (498,499,[2_1|2]), (499,103,[0_1|2]), (499,113,[0_1|2]), (499,230,[0_1|2]), (499,491,[0_1|2]), (499,447,[0_1|2]), (499,104,[2_1|2]), (499,122,[2_1|2]), (499,131,[3_1|2]), (499,140,[2_1|2]), (499,149,[3_1|2]), (499,158,[3_1|2]), (499,167,[2_1|2]), (499,176,[2_1|2]), (499,185,[3_1|2]), (499,194,[2_1|2]), (499,203,[2_1|2]), (499,212,[2_1|2]), (499,221,[2_1|2]), (499,239,[2_1|2]), (499,248,[2_1|2]), (499,257,[2_1|2]), (499,266,[2_1|2]), (499,275,[2_1|2]), (499,284,[2_1|2]), (499,293,[5_1|2]), (499,302,[2_1|2]), (500,501,[1_1|2]), (501,502,[5_1|2]), (502,503,[2_1|2]), (503,504,[4_1|2]), (504,505,[4_1|2]), (505,506,[4_1|2]), (506,507,[1_1|2]), (507,508,[4_1|2]), (508,103,[2_1|2]), (508,347,[2_1|2]), (508,419,[2_1|2]), (508,428,[2_1|2]), (508,437,[2_1|2]), (508,295,[2_1|2]), (508,401,[2_1|2]), (508,410,[2_1|2]), (509,510,[5_1|2]), (510,511,[4_1|2]), (511,512,[1_1|2]), (512,513,[2_1|2]), (513,514,[2_1|2]), (514,515,[2_1|2]), (515,516,[4_1|2]), (516,517,[1_1|2]), (516,365,[1_1|2]), (516,374,[1_1|2]), (516,383,[1_1|2]), (517,103,[5_1|2]), (517,347,[5_1|2]), (517,419,[5_1|2]), (517,428,[5_1|2]), (517,437,[5_1|2]), (517,159,[5_1|2]), (517,446,[5_1|2]), (517,455,[2_1|2]), (517,464,[5_1|2]), (517,473,[3_1|2]), (517,482,[5_1|2]), (517,491,[0_1|2]), (517,500,[2_1|2]), (517,509,[5_1|2]), (517,518,[5_1|2]), (517,527,[5_1|2]), (517,536,[5_1|2]), (517,545,[5_1|2]), (517,554,[2_1|2]), (518,519,[2_1|2]), (519,520,[3_1|2]), (520,521,[2_1|2]), (521,522,[1_1|2]), (522,523,[5_1|2]), (523,524,[4_1|2]), (524,525,[4_1|2]), (525,526,[4_1|2]), (525,419,[4_1|2]), (526,103,[1_1|2]), (526,113,[1_1|2]), (526,230,[1_1|2]), (526,491,[1_1|2]), (526,447,[1_1|2]), (526,311,[1_1|2]), (526,320,[1_1|2]), (526,329,[2_1|2]), (526,338,[1_1|2]), (526,347,[4_1|2]), (526,356,[2_1|2]), (526,365,[1_1|2]), (526,374,[1_1|2]), (526,383,[1_1|2]), (526,392,[1_1|2]), (527,528,[1_1|2]), (528,529,[4_1|2]), (529,530,[1_1|2]), (530,531,[4_1|2]), (531,532,[5_1|2]), (532,533,[2_1|2]), (533,534,[2_1|2]), (534,535,[3_1|2]), (535,103,[5_1|2]), (535,113,[5_1|2]), (535,230,[5_1|2]), (535,491,[5_1|2, 0_1|2]), (535,446,[5_1|2]), (535,455,[2_1|2]), (535,464,[5_1|2]), (535,473,[3_1|2]), (535,482,[5_1|2]), (535,500,[2_1|2]), (535,509,[5_1|2]), (535,518,[5_1|2]), (535,527,[5_1|2]), (535,536,[5_1|2]), (535,545,[5_1|2]), (535,554,[2_1|2]), (536,537,[4_1|2]), (537,538,[3_1|2]), (538,539,[2_1|2]), (539,540,[3_1|2]), (540,541,[2_1|2]), (541,542,[2_1|2]), (542,543,[5_1|2]), (543,544,[4_1|2]), (544,103,[4_1|2]), (544,347,[4_1|2]), (544,419,[4_1|2]), (544,428,[4_1|2]), (544,437,[4_1|2]), (544,159,[4_1|2]), (545,546,[2_1|2]), (546,547,[4_1|2]), (547,548,[2_1|2]), (548,549,[4_1|2]), (549,550,[0_1|2]), (550,551,[1_1|2]), (551,552,[5_1|2]), (552,553,[2_1|2]), (553,103,[4_1|2]), (553,104,[4_1|2]), (553,122,[4_1|2]), (553,140,[4_1|2]), (553,167,[4_1|2]), (553,176,[4_1|2]), (553,194,[4_1|2]), (553,203,[4_1|2]), (553,212,[4_1|2]), (553,221,[4_1|2]), (553,239,[4_1|2]), (553,248,[4_1|2]), (553,257,[4_1|2]), (553,266,[4_1|2]), (553,275,[4_1|2]), (553,284,[4_1|2]), (553,302,[4_1|2]), (553,329,[4_1|2]), (553,356,[4_1|2]), (553,401,[4_1|2]), (553,410,[4_1|2]), (553,455,[4_1|2]), (553,500,[4_1|2]), (553,554,[4_1|2]), (553,312,[4_1|2]), (553,419,[4_1|2]), (553,428,[4_1|2]), (553,437,[4_1|2]), (554,555,[5_1|2]), (555,556,[1_1|2]), (556,557,[1_1|2]), (557,558,[4_1|2]), (558,559,[1_1|2]), (559,560,[1_1|2]), (560,561,[4_1|2]), (561,562,[1_1|2]), (562,103,[2_1|2]), (562,104,[2_1|2]), (562,122,[2_1|2]), (562,140,[2_1|2]), (562,167,[2_1|2]), (562,176,[2_1|2]), (562,194,[2_1|2]), (562,203,[2_1|2]), (562,212,[2_1|2]), (562,221,[2_1|2]), (562,239,[2_1|2]), (562,248,[2_1|2]), (562,257,[2_1|2]), (562,266,[2_1|2]), (562,275,[2_1|2]), (562,284,[2_1|2]), (562,302,[2_1|2]), (562,329,[2_1|2]), (562,356,[2_1|2]), (562,401,[2_1|2]), (562,410,[2_1|2]), (562,455,[2_1|2]), (562,500,[2_1|2]), (562,554,[2_1|2]), (562,429,[2_1|2])}" ---------------------------------------- (8) BOUNDS(1, n^1)