/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# AProVE Commit ID: 794c25de1cacf0d048858bcd21c9a779e1221865 marcel 20200619 unpublished dirty The Derivational Complexity (full) of the given DCpxTrs could be proven to be BOUNDS(1, n^1).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), 46 ms] (4) CpxRelTRS (5) RelTrsToTrsProof [UPPER BOUND(ID), 0 ms] (6) CpxTRS (7) CpxTrsMatchBoundsProof [FINISHED, 237 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: 3(5(3(x1))) -> 1(0(3(4(4(3(1(4(5(4(x1)))))))))) 5(0(0(x1))) -> 5(0(3(2(1(2(3(4(0(0(x1)))))))))) 0(1(0(4(x1)))) -> 4(2(1(2(3(4(4(3(0(4(x1)))))))))) 4(5(0(4(x1)))) -> 4(0(4(0(4(0(3(4(4(4(x1)))))))))) 5(5(5(5(x1)))) -> 5(2(0(0(3(2(1(4(4(3(x1)))))))))) 5(5(5(5(x1)))) -> 5(4(0(0(1(1(1(4(3(5(x1)))))))))) 1(5(3(1(3(x1))))) -> 1(3(4(4(2(0(2(3(1(2(x1)))))))))) 2(3(5(5(0(x1))))) -> 4(0(1(4(2(1(2(0(1(0(x1)))))))))) 2(5(5(5(5(x1))))) -> 2(0(5(1(2(0(3(2(1(5(x1)))))))))) 4(1(0(0(0(x1))))) -> 4(1(4(1(0(5(1(2(4(2(x1)))))))))) 4(1(5(5(3(x1))))) -> 2(1(2(3(0(3(2(5(1(2(x1)))))))))) 4(3(1(5(5(x1))))) -> 4(0(3(1(2(3(2(1(1(5(x1)))))))))) 5(0(2(4(2(x1))))) -> 5(2(1(2(3(0(0(3(4(2(x1)))))))))) 5(3(1(5(1(x1))))) -> 3(2(1(1(0(3(0(1(5(1(x1)))))))))) 5(5(3(0(2(x1))))) -> 3(2(3(4(5(2(1(2(0(0(x1)))))))))) 5(5(5(5(4(x1))))) -> 3(4(5(4(0(0(4(0(3(4(x1)))))))))) 0(1(5(1(0(4(x1)))))) -> 3(2(0(4(0(1(4(3(0(4(x1)))))))))) 0(1(5(1(5(0(x1)))))) -> 4(4(4(2(5(5(0(1(4(0(x1)))))))))) 0(1(5(3(0(1(x1)))))) -> 4(4(5(1(1(1(4(0(3(1(x1)))))))))) 0(3(1(3(0(5(x1)))))) -> 4(4(3(3(4(4(0(5(2(3(x1)))))))))) 1(5(5(5(5(3(x1)))))) -> 1(2(5(1(4(0(0(2(5(4(x1)))))))))) 2(0(5(3(4(1(x1)))))) -> 2(3(4(0(3(3(0(1(2(1(x1)))))))))) 2(4(0(1(3(5(x1)))))) -> 2(3(2(0(2(0(3(1(4(3(x1)))))))))) 2(5(4(5(5(5(x1)))))) -> 2(4(2(1(2(4(4(4(0(5(x1)))))))))) 3(5(3(1(5(5(x1)))))) -> 3(2(4(4(1(1(4(0(2(4(x1)))))))))) 4(1(3(1(5(0(x1)))))) -> 0(2(2(2(1(1(2(3(1(4(x1)))))))))) 4(3(5(0(4(2(x1)))))) -> 4(3(4(3(4(1(3(1(4(2(x1)))))))))) 5(0(5(0(4(2(x1)))))) -> 5(4(4(4(4(0(4(4(3(0(x1)))))))))) 5(5(1(5(3(0(x1)))))) -> 2(2(0(1(4(3(0(3(3(4(x1)))))))))) 5(5(3(2(3(5(x1)))))) -> 1(4(2(4(1(2(2(4(1(5(x1)))))))))) 5(5(5(1(3(1(x1)))))) -> 5(1(2(4(4(4(1(3(3(4(x1)))))))))) 1(0(4(5(3(5(0(x1))))))) -> 1(0(2(1(2(5(2(0(5(2(x1)))))))))) 1(5(1(3(5(5(5(x1))))))) -> 5(1(2(3(0(2(2(0(5(5(x1)))))))))) 3(0(1(5(1(3(0(x1))))))) -> 3(0(0(3(1(2(1(5(4(2(x1)))))))))) 3(2(4(1(5(5(1(x1))))))) -> 0(5(0(3(4(1(0(3(5(1(x1)))))))))) 3(5(5(5(1(4(1(x1))))))) -> 1(4(4(0(0(1(0(1(3(1(x1)))))))))) 4(0(5(5(5(5(4(x1))))))) -> 2(1(4(3(5(4(0(1(5(4(x1)))))))))) 4(1(5(0(0(1(3(x1))))))) -> 0(2(1(1(1(1(4(5(1(3(x1)))))))))) 4(1(5(0(0(1(5(x1))))))) -> 4(3(0(5(3(5(2(1(4(5(x1)))))))))) 4(2(3(5(0(5(0(x1))))))) -> 4(4(4(0(0(1(5(2(3(4(x1)))))))))) 4(2(5(5(0(2(2(x1))))))) -> 4(2(1(0(0(1(4(5(1(2(x1)))))))))) 4(5(5(3(5(5(3(x1))))))) -> 0(1(4(0(1(3(2(4(1(4(x1)))))))))) 4(5(5(5(0(4(3(x1))))))) -> 0(3(3(3(2(0(2(3(2(3(x1)))))))))) 5(0(5(5(3(5(4(x1))))))) -> 5(3(5(5(0(1(1(2(3(4(x1)))))))))) 5(2(5(5(0(0(3(x1))))))) -> 1(4(4(3(1(0(1(3(0(3(x1)))))))))) 5(3(5(5(5(3(0(x1))))))) -> 5(4(3(4(5(2(5(5(5(0(x1)))))))))) 5(4(5(3(2(5(3(x1))))))) -> 5(4(3(1(1(4(2(0(3(5(x1)))))))))) 5(5(0(5(5(0(1(x1))))))) -> 2(3(4(5(4(2(1(2(5(1(x1)))))))))) 5(5(0(5(5(5(3(x1))))))) -> 5(0(4(4(0(1(2(3(3(3(x1)))))))))) 5(5(2(5(3(5(0(x1))))))) -> 5(2(0(4(0(3(2(3(3(0(x1)))))))))) 5(5(5(3(0(4(2(x1))))))) -> 5(5(2(1(5(4(3(4(4(2(x1)))))))))) S is empty. Rewrite Strategy: FULL ---------------------------------------- (1) DerivationalComplexityToRuntimeComplexityProof (BOTH BOUNDS(ID, ID)) The following rules have been added to S to convert the given derivational complexity problem to a runtime complexity problem: encArg(cons_3(x_1)) -> 3(encArg(x_1)) encArg(cons_5(x_1)) -> 5(encArg(x_1)) encArg(cons_0(x_1)) -> 0(encArg(x_1)) encArg(cons_4(x_1)) -> 4(encArg(x_1)) encArg(cons_1(x_1)) -> 1(encArg(x_1)) encArg(cons_2(x_1)) -> 2(encArg(x_1)) encode_3(x_1) -> 3(encArg(x_1)) encode_5(x_1) -> 5(encArg(x_1)) encode_1(x_1) -> 1(encArg(x_1)) encode_0(x_1) -> 0(encArg(x_1)) encode_4(x_1) -> 4(encArg(x_1)) encode_2(x_1) -> 2(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: 3(5(3(x1))) -> 1(0(3(4(4(3(1(4(5(4(x1)))))))))) 5(0(0(x1))) -> 5(0(3(2(1(2(3(4(0(0(x1)))))))))) 0(1(0(4(x1)))) -> 4(2(1(2(3(4(4(3(0(4(x1)))))))))) 4(5(0(4(x1)))) -> 4(0(4(0(4(0(3(4(4(4(x1)))))))))) 5(5(5(5(x1)))) -> 5(2(0(0(3(2(1(4(4(3(x1)))))))))) 5(5(5(5(x1)))) -> 5(4(0(0(1(1(1(4(3(5(x1)))))))))) 1(5(3(1(3(x1))))) -> 1(3(4(4(2(0(2(3(1(2(x1)))))))))) 2(3(5(5(0(x1))))) -> 4(0(1(4(2(1(2(0(1(0(x1)))))))))) 2(5(5(5(5(x1))))) -> 2(0(5(1(2(0(3(2(1(5(x1)))))))))) 4(1(0(0(0(x1))))) -> 4(1(4(1(0(5(1(2(4(2(x1)))))))))) 4(1(5(5(3(x1))))) -> 2(1(2(3(0(3(2(5(1(2(x1)))))))))) 4(3(1(5(5(x1))))) -> 4(0(3(1(2(3(2(1(1(5(x1)))))))))) 5(0(2(4(2(x1))))) -> 5(2(1(2(3(0(0(3(4(2(x1)))))))))) 5(3(1(5(1(x1))))) -> 3(2(1(1(0(3(0(1(5(1(x1)))))))))) 5(5(3(0(2(x1))))) -> 3(2(3(4(5(2(1(2(0(0(x1)))))))))) 5(5(5(5(4(x1))))) -> 3(4(5(4(0(0(4(0(3(4(x1)))))))))) 0(1(5(1(0(4(x1)))))) -> 3(2(0(4(0(1(4(3(0(4(x1)))))))))) 0(1(5(1(5(0(x1)))))) -> 4(4(4(2(5(5(0(1(4(0(x1)))))))))) 0(1(5(3(0(1(x1)))))) -> 4(4(5(1(1(1(4(0(3(1(x1)))))))))) 0(3(1(3(0(5(x1)))))) -> 4(4(3(3(4(4(0(5(2(3(x1)))))))))) 1(5(5(5(5(3(x1)))))) -> 1(2(5(1(4(0(0(2(5(4(x1)))))))))) 2(0(5(3(4(1(x1)))))) -> 2(3(4(0(3(3(0(1(2(1(x1)))))))))) 2(4(0(1(3(5(x1)))))) -> 2(3(2(0(2(0(3(1(4(3(x1)))))))))) 2(5(4(5(5(5(x1)))))) -> 2(4(2(1(2(4(4(4(0(5(x1)))))))))) 3(5(3(1(5(5(x1)))))) -> 3(2(4(4(1(1(4(0(2(4(x1)))))))))) 4(1(3(1(5(0(x1)))))) -> 0(2(2(2(1(1(2(3(1(4(x1)))))))))) 4(3(5(0(4(2(x1)))))) -> 4(3(4(3(4(1(3(1(4(2(x1)))))))))) 5(0(5(0(4(2(x1)))))) -> 5(4(4(4(4(0(4(4(3(0(x1)))))))))) 5(5(1(5(3(0(x1)))))) -> 2(2(0(1(4(3(0(3(3(4(x1)))))))))) 5(5(3(2(3(5(x1)))))) -> 1(4(2(4(1(2(2(4(1(5(x1)))))))))) 5(5(5(1(3(1(x1)))))) -> 5(1(2(4(4(4(1(3(3(4(x1)))))))))) 1(0(4(5(3(5(0(x1))))))) -> 1(0(2(1(2(5(2(0(5(2(x1)))))))))) 1(5(1(3(5(5(5(x1))))))) -> 5(1(2(3(0(2(2(0(5(5(x1)))))))))) 3(0(1(5(1(3(0(x1))))))) -> 3(0(0(3(1(2(1(5(4(2(x1)))))))))) 3(2(4(1(5(5(1(x1))))))) -> 0(5(0(3(4(1(0(3(5(1(x1)))))))))) 3(5(5(5(1(4(1(x1))))))) -> 1(4(4(0(0(1(0(1(3(1(x1)))))))))) 4(0(5(5(5(5(4(x1))))))) -> 2(1(4(3(5(4(0(1(5(4(x1)))))))))) 4(1(5(0(0(1(3(x1))))))) -> 0(2(1(1(1(1(4(5(1(3(x1)))))))))) 4(1(5(0(0(1(5(x1))))))) -> 4(3(0(5(3(5(2(1(4(5(x1)))))))))) 4(2(3(5(0(5(0(x1))))))) -> 4(4(4(0(0(1(5(2(3(4(x1)))))))))) 4(2(5(5(0(2(2(x1))))))) -> 4(2(1(0(0(1(4(5(1(2(x1)))))))))) 4(5(5(3(5(5(3(x1))))))) -> 0(1(4(0(1(3(2(4(1(4(x1)))))))))) 4(5(5(5(0(4(3(x1))))))) -> 0(3(3(3(2(0(2(3(2(3(x1)))))))))) 5(0(5(5(3(5(4(x1))))))) -> 5(3(5(5(0(1(1(2(3(4(x1)))))))))) 5(2(5(5(0(0(3(x1))))))) -> 1(4(4(3(1(0(1(3(0(3(x1)))))))))) 5(3(5(5(5(3(0(x1))))))) -> 5(4(3(4(5(2(5(5(5(0(x1)))))))))) 5(4(5(3(2(5(3(x1))))))) -> 5(4(3(1(1(4(2(0(3(5(x1)))))))))) 5(5(0(5(5(0(1(x1))))))) -> 2(3(4(5(4(2(1(2(5(1(x1)))))))))) 5(5(0(5(5(5(3(x1))))))) -> 5(0(4(4(0(1(2(3(3(3(x1)))))))))) 5(5(2(5(3(5(0(x1))))))) -> 5(2(0(4(0(3(2(3(3(0(x1)))))))))) 5(5(5(3(0(4(2(x1))))))) -> 5(5(2(1(5(4(3(4(4(2(x1)))))))))) The (relative) TRS S consists of the following rules: encArg(cons_3(x_1)) -> 3(encArg(x_1)) encArg(cons_5(x_1)) -> 5(encArg(x_1)) encArg(cons_0(x_1)) -> 0(encArg(x_1)) encArg(cons_4(x_1)) -> 4(encArg(x_1)) encArg(cons_1(x_1)) -> 1(encArg(x_1)) encArg(cons_2(x_1)) -> 2(encArg(x_1)) encode_3(x_1) -> 3(encArg(x_1)) encode_5(x_1) -> 5(encArg(x_1)) encode_1(x_1) -> 1(encArg(x_1)) encode_0(x_1) -> 0(encArg(x_1)) encode_4(x_1) -> 4(encArg(x_1)) encode_2(x_1) -> 2(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: 3(5(3(x1))) -> 1(0(3(4(4(3(1(4(5(4(x1)))))))))) 5(0(0(x1))) -> 5(0(3(2(1(2(3(4(0(0(x1)))))))))) 0(1(0(4(x1)))) -> 4(2(1(2(3(4(4(3(0(4(x1)))))))))) 4(5(0(4(x1)))) -> 4(0(4(0(4(0(3(4(4(4(x1)))))))))) 5(5(5(5(x1)))) -> 5(2(0(0(3(2(1(4(4(3(x1)))))))))) 5(5(5(5(x1)))) -> 5(4(0(0(1(1(1(4(3(5(x1)))))))))) 1(5(3(1(3(x1))))) -> 1(3(4(4(2(0(2(3(1(2(x1)))))))))) 2(3(5(5(0(x1))))) -> 4(0(1(4(2(1(2(0(1(0(x1)))))))))) 2(5(5(5(5(x1))))) -> 2(0(5(1(2(0(3(2(1(5(x1)))))))))) 4(1(0(0(0(x1))))) -> 4(1(4(1(0(5(1(2(4(2(x1)))))))))) 4(1(5(5(3(x1))))) -> 2(1(2(3(0(3(2(5(1(2(x1)))))))))) 4(3(1(5(5(x1))))) -> 4(0(3(1(2(3(2(1(1(5(x1)))))))))) 5(0(2(4(2(x1))))) -> 5(2(1(2(3(0(0(3(4(2(x1)))))))))) 5(3(1(5(1(x1))))) -> 3(2(1(1(0(3(0(1(5(1(x1)))))))))) 5(5(3(0(2(x1))))) -> 3(2(3(4(5(2(1(2(0(0(x1)))))))))) 5(5(5(5(4(x1))))) -> 3(4(5(4(0(0(4(0(3(4(x1)))))))))) 0(1(5(1(0(4(x1)))))) -> 3(2(0(4(0(1(4(3(0(4(x1)))))))))) 0(1(5(1(5(0(x1)))))) -> 4(4(4(2(5(5(0(1(4(0(x1)))))))))) 0(1(5(3(0(1(x1)))))) -> 4(4(5(1(1(1(4(0(3(1(x1)))))))))) 0(3(1(3(0(5(x1)))))) -> 4(4(3(3(4(4(0(5(2(3(x1)))))))))) 1(5(5(5(5(3(x1)))))) -> 1(2(5(1(4(0(0(2(5(4(x1)))))))))) 2(0(5(3(4(1(x1)))))) -> 2(3(4(0(3(3(0(1(2(1(x1)))))))))) 2(4(0(1(3(5(x1)))))) -> 2(3(2(0(2(0(3(1(4(3(x1)))))))))) 2(5(4(5(5(5(x1)))))) -> 2(4(2(1(2(4(4(4(0(5(x1)))))))))) 3(5(3(1(5(5(x1)))))) -> 3(2(4(4(1(1(4(0(2(4(x1)))))))))) 4(1(3(1(5(0(x1)))))) -> 0(2(2(2(1(1(2(3(1(4(x1)))))))))) 4(3(5(0(4(2(x1)))))) -> 4(3(4(3(4(1(3(1(4(2(x1)))))))))) 5(0(5(0(4(2(x1)))))) -> 5(4(4(4(4(0(4(4(3(0(x1)))))))))) 5(5(1(5(3(0(x1)))))) -> 2(2(0(1(4(3(0(3(3(4(x1)))))))))) 5(5(3(2(3(5(x1)))))) -> 1(4(2(4(1(2(2(4(1(5(x1)))))))))) 5(5(5(1(3(1(x1)))))) -> 5(1(2(4(4(4(1(3(3(4(x1)))))))))) 1(0(4(5(3(5(0(x1))))))) -> 1(0(2(1(2(5(2(0(5(2(x1)))))))))) 1(5(1(3(5(5(5(x1))))))) -> 5(1(2(3(0(2(2(0(5(5(x1)))))))))) 3(0(1(5(1(3(0(x1))))))) -> 3(0(0(3(1(2(1(5(4(2(x1)))))))))) 3(2(4(1(5(5(1(x1))))))) -> 0(5(0(3(4(1(0(3(5(1(x1)))))))))) 3(5(5(5(1(4(1(x1))))))) -> 1(4(4(0(0(1(0(1(3(1(x1)))))))))) 4(0(5(5(5(5(4(x1))))))) -> 2(1(4(3(5(4(0(1(5(4(x1)))))))))) 4(1(5(0(0(1(3(x1))))))) -> 0(2(1(1(1(1(4(5(1(3(x1)))))))))) 4(1(5(0(0(1(5(x1))))))) -> 4(3(0(5(3(5(2(1(4(5(x1)))))))))) 4(2(3(5(0(5(0(x1))))))) -> 4(4(4(0(0(1(5(2(3(4(x1)))))))))) 4(2(5(5(0(2(2(x1))))))) -> 4(2(1(0(0(1(4(5(1(2(x1)))))))))) 4(5(5(3(5(5(3(x1))))))) -> 0(1(4(0(1(3(2(4(1(4(x1)))))))))) 4(5(5(5(0(4(3(x1))))))) -> 0(3(3(3(2(0(2(3(2(3(x1)))))))))) 5(0(5(5(3(5(4(x1))))))) -> 5(3(5(5(0(1(1(2(3(4(x1)))))))))) 5(2(5(5(0(0(3(x1))))))) -> 1(4(4(3(1(0(1(3(0(3(x1)))))))))) 5(3(5(5(5(3(0(x1))))))) -> 5(4(3(4(5(2(5(5(5(0(x1)))))))))) 5(4(5(3(2(5(3(x1))))))) -> 5(4(3(1(1(4(2(0(3(5(x1)))))))))) 5(5(0(5(5(0(1(x1))))))) -> 2(3(4(5(4(2(1(2(5(1(x1)))))))))) 5(5(0(5(5(5(3(x1))))))) -> 5(0(4(4(0(1(2(3(3(3(x1)))))))))) 5(5(2(5(3(5(0(x1))))))) -> 5(2(0(4(0(3(2(3(3(0(x1)))))))))) 5(5(5(3(0(4(2(x1))))))) -> 5(5(2(1(5(4(3(4(4(2(x1)))))))))) The (relative) TRS S consists of the following rules: encArg(cons_3(x_1)) -> 3(encArg(x_1)) encArg(cons_5(x_1)) -> 5(encArg(x_1)) encArg(cons_0(x_1)) -> 0(encArg(x_1)) encArg(cons_4(x_1)) -> 4(encArg(x_1)) encArg(cons_1(x_1)) -> 1(encArg(x_1)) encArg(cons_2(x_1)) -> 2(encArg(x_1)) encode_3(x_1) -> 3(encArg(x_1)) encode_5(x_1) -> 5(encArg(x_1)) encode_1(x_1) -> 1(encArg(x_1)) encode_0(x_1) -> 0(encArg(x_1)) encode_4(x_1) -> 4(encArg(x_1)) encode_2(x_1) -> 2(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: 3(5(3(x1))) -> 1(0(3(4(4(3(1(4(5(4(x1)))))))))) 5(0(0(x1))) -> 5(0(3(2(1(2(3(4(0(0(x1)))))))))) 0(1(0(4(x1)))) -> 4(2(1(2(3(4(4(3(0(4(x1)))))))))) 4(5(0(4(x1)))) -> 4(0(4(0(4(0(3(4(4(4(x1)))))))))) 5(5(5(5(x1)))) -> 5(2(0(0(3(2(1(4(4(3(x1)))))))))) 5(5(5(5(x1)))) -> 5(4(0(0(1(1(1(4(3(5(x1)))))))))) 1(5(3(1(3(x1))))) -> 1(3(4(4(2(0(2(3(1(2(x1)))))))))) 2(3(5(5(0(x1))))) -> 4(0(1(4(2(1(2(0(1(0(x1)))))))))) 2(5(5(5(5(x1))))) -> 2(0(5(1(2(0(3(2(1(5(x1)))))))))) 4(1(0(0(0(x1))))) -> 4(1(4(1(0(5(1(2(4(2(x1)))))))))) 4(1(5(5(3(x1))))) -> 2(1(2(3(0(3(2(5(1(2(x1)))))))))) 4(3(1(5(5(x1))))) -> 4(0(3(1(2(3(2(1(1(5(x1)))))))))) 5(0(2(4(2(x1))))) -> 5(2(1(2(3(0(0(3(4(2(x1)))))))))) 5(3(1(5(1(x1))))) -> 3(2(1(1(0(3(0(1(5(1(x1)))))))))) 5(5(3(0(2(x1))))) -> 3(2(3(4(5(2(1(2(0(0(x1)))))))))) 5(5(5(5(4(x1))))) -> 3(4(5(4(0(0(4(0(3(4(x1)))))))))) 0(1(5(1(0(4(x1)))))) -> 3(2(0(4(0(1(4(3(0(4(x1)))))))))) 0(1(5(1(5(0(x1)))))) -> 4(4(4(2(5(5(0(1(4(0(x1)))))))))) 0(1(5(3(0(1(x1)))))) -> 4(4(5(1(1(1(4(0(3(1(x1)))))))))) 0(3(1(3(0(5(x1)))))) -> 4(4(3(3(4(4(0(5(2(3(x1)))))))))) 1(5(5(5(5(3(x1)))))) -> 1(2(5(1(4(0(0(2(5(4(x1)))))))))) 2(0(5(3(4(1(x1)))))) -> 2(3(4(0(3(3(0(1(2(1(x1)))))))))) 2(4(0(1(3(5(x1)))))) -> 2(3(2(0(2(0(3(1(4(3(x1)))))))))) 2(5(4(5(5(5(x1)))))) -> 2(4(2(1(2(4(4(4(0(5(x1)))))))))) 3(5(3(1(5(5(x1)))))) -> 3(2(4(4(1(1(4(0(2(4(x1)))))))))) 4(1(3(1(5(0(x1)))))) -> 0(2(2(2(1(1(2(3(1(4(x1)))))))))) 4(3(5(0(4(2(x1)))))) -> 4(3(4(3(4(1(3(1(4(2(x1)))))))))) 5(0(5(0(4(2(x1)))))) -> 5(4(4(4(4(0(4(4(3(0(x1)))))))))) 5(5(1(5(3(0(x1)))))) -> 2(2(0(1(4(3(0(3(3(4(x1)))))))))) 5(5(3(2(3(5(x1)))))) -> 1(4(2(4(1(2(2(4(1(5(x1)))))))))) 5(5(5(1(3(1(x1)))))) -> 5(1(2(4(4(4(1(3(3(4(x1)))))))))) 1(0(4(5(3(5(0(x1))))))) -> 1(0(2(1(2(5(2(0(5(2(x1)))))))))) 1(5(1(3(5(5(5(x1))))))) -> 5(1(2(3(0(2(2(0(5(5(x1)))))))))) 3(0(1(5(1(3(0(x1))))))) -> 3(0(0(3(1(2(1(5(4(2(x1)))))))))) 3(2(4(1(5(5(1(x1))))))) -> 0(5(0(3(4(1(0(3(5(1(x1)))))))))) 3(5(5(5(1(4(1(x1))))))) -> 1(4(4(0(0(1(0(1(3(1(x1)))))))))) 4(0(5(5(5(5(4(x1))))))) -> 2(1(4(3(5(4(0(1(5(4(x1)))))))))) 4(1(5(0(0(1(3(x1))))))) -> 0(2(1(1(1(1(4(5(1(3(x1)))))))))) 4(1(5(0(0(1(5(x1))))))) -> 4(3(0(5(3(5(2(1(4(5(x1)))))))))) 4(2(3(5(0(5(0(x1))))))) -> 4(4(4(0(0(1(5(2(3(4(x1)))))))))) 4(2(5(5(0(2(2(x1))))))) -> 4(2(1(0(0(1(4(5(1(2(x1)))))))))) 4(5(5(3(5(5(3(x1))))))) -> 0(1(4(0(1(3(2(4(1(4(x1)))))))))) 4(5(5(5(0(4(3(x1))))))) -> 0(3(3(3(2(0(2(3(2(3(x1)))))))))) 5(0(5(5(3(5(4(x1))))))) -> 5(3(5(5(0(1(1(2(3(4(x1)))))))))) 5(2(5(5(0(0(3(x1))))))) -> 1(4(4(3(1(0(1(3(0(3(x1)))))))))) 5(3(5(5(5(3(0(x1))))))) -> 5(4(3(4(5(2(5(5(5(0(x1)))))))))) 5(4(5(3(2(5(3(x1))))))) -> 5(4(3(1(1(4(2(0(3(5(x1)))))))))) 5(5(0(5(5(0(1(x1))))))) -> 2(3(4(5(4(2(1(2(5(1(x1)))))))))) 5(5(0(5(5(5(3(x1))))))) -> 5(0(4(4(0(1(2(3(3(3(x1)))))))))) 5(5(2(5(3(5(0(x1))))))) -> 5(2(0(4(0(3(2(3(3(0(x1)))))))))) 5(5(5(3(0(4(2(x1))))))) -> 5(5(2(1(5(4(3(4(4(2(x1)))))))))) encArg(cons_3(x_1)) -> 3(encArg(x_1)) encArg(cons_5(x_1)) -> 5(encArg(x_1)) encArg(cons_0(x_1)) -> 0(encArg(x_1)) encArg(cons_4(x_1)) -> 4(encArg(x_1)) encArg(cons_1(x_1)) -> 1(encArg(x_1)) encArg(cons_2(x_1)) -> 2(encArg(x_1)) encode_3(x_1) -> 3(encArg(x_1)) encode_5(x_1) -> 5(encArg(x_1)) encode_1(x_1) -> 1(encArg(x_1)) encode_0(x_1) -> 0(encArg(x_1)) encode_4(x_1) -> 4(encArg(x_1)) encode_2(x_1) -> 2(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. "[109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 254, 255, 256, 257, 258, 259, 260, 261, 262, 263, 264, 265, 266, 267, 268, 269, 270, 271, 272, 273, 274, 275, 276, 277, 278, 279, 280, 281, 282, 283, 284, 285, 286, 287, 288, 289, 290, 291, 292, 293, 294, 295, 296, 297, 298, 299, 300, 301, 302, 303, 304, 305, 306, 307, 308, 309, 310, 311, 312, 313, 314, 315, 316, 317, 318, 319, 320, 321, 322, 323, 324, 325, 326, 327, 328, 329, 330, 331, 332, 333, 334, 335, 336, 337, 338, 339, 340, 341, 342, 343, 344, 345, 346, 347, 348, 349, 350, 351, 352, 353, 354, 355, 356, 357, 358, 359, 360, 361, 362, 363, 364, 365, 366, 367, 368, 369, 370, 371, 372, 373, 374, 375, 376, 377, 378, 379, 380, 381, 382, 383, 384, 385, 386, 387, 388, 389, 390, 391, 392, 393, 394, 395, 396, 397, 398, 399, 400, 401, 402, 403, 404, 405, 406, 407, 408, 409, 410, 411, 412, 413, 414, 415, 416, 417, 418, 419, 420, 421, 422, 423, 424, 425, 426, 427, 428, 429, 430, 431, 432, 433, 434, 435, 436, 437, 438, 439, 440, 441, 442, 443, 444, 445, 446, 447, 448, 449, 450, 451, 452, 453, 454, 455, 456, 457, 458, 459, 460, 461, 462, 463, 464, 465, 466, 467, 468, 469, 470, 471, 472, 473, 474, 475, 476, 477, 478, 479, 480, 481, 482, 483, 484, 485, 486, 487, 488, 489, 490, 491, 492, 493, 494, 495, 496, 497, 498, 499, 500, 501, 502, 503, 504, 505, 506, 507, 508, 509, 510, 511, 512, 513, 514, 515, 516, 517, 518, 519, 520, 521, 522, 523, 524, 525, 526, 527, 528, 529, 530, 531, 532, 533, 534, 535, 536, 537, 538, 539, 540, 541, 542, 543, 544, 545, 546, 547, 548, 549, 550, 551, 552, 553, 554, 555, 556, 557, 558, 559, 560, 561, 562, 563, 564, 565, 566, 567, 568, 569, 570, 571, 572, 573, 574, 575, 576, 577, 578, 579, 580, 581, 582, 583, 584, 585, 586, 587, 588, 589, 590, 591, 592, 593, 594, 595, 596, 597, 598, 599, 600, 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] {(109,110,[3_1|0, 5_1|0, 0_1|0, 4_1|0, 1_1|0, 2_1|0, encArg_1|0, encode_3_1|0, encode_5_1|0, encode_1_1|0, encode_0_1|0, encode_4_1|0, encode_2_1|0]), (109,111,[3_1|1, 5_1|1, 0_1|1, 4_1|1, 1_1|1, 2_1|1]), (109,112,[1_1|2]), (109,121,[3_1|2]), (109,130,[1_1|2]), (109,139,[3_1|2]), (109,148,[0_1|2]), (109,157,[5_1|2]), (109,166,[5_1|2]), (109,175,[5_1|2]), (109,184,[5_1|2]), (109,193,[5_1|2]), (109,202,[5_1|2]), (109,211,[3_1|2]), (109,220,[5_1|2]), (109,229,[5_1|2]), (109,238,[3_1|2]), (109,247,[1_1|2]), (109,256,[2_1|2]), (109,265,[2_1|2]), (109,274,[5_1|2]), (109,283,[5_1|2]), (109,292,[3_1|2]), (109,301,[5_1|2]), (109,310,[1_1|2]), (109,319,[5_1|2]), (109,328,[4_1|2]), (109,337,[3_1|2]), (109,346,[4_1|2]), (109,355,[4_1|2]), (109,364,[4_1|2]), (109,373,[4_1|2]), (109,382,[0_1|2]), (109,391,[0_1|2]), (109,400,[4_1|2]), (109,409,[2_1|2]), (109,418,[0_1|2]), (109,427,[4_1|2]), (109,436,[0_1|2]), (109,445,[4_1|2]), (109,454,[4_1|2]), (109,463,[2_1|2]), (109,472,[4_1|2]), (109,481,[4_1|2]), (109,490,[1_1|2]), (109,499,[1_1|2]), (109,508,[5_1|2]), (109,517,[1_1|2]), (109,526,[4_1|2]), (109,535,[2_1|2]), (109,544,[2_1|2]), (109,553,[2_1|2]), (109,562,[2_1|2]), (110,110,[cons_3_1|0, cons_5_1|0, cons_0_1|0, cons_4_1|0, cons_1_1|0, cons_2_1|0]), (111,110,[encArg_1|1]), (111,111,[3_1|1, 5_1|1, 0_1|1, 4_1|1, 1_1|1, 2_1|1]), (111,112,[1_1|2]), (111,121,[3_1|2]), (111,130,[1_1|2]), (111,139,[3_1|2]), (111,148,[0_1|2]), (111,157,[5_1|2]), (111,166,[5_1|2]), (111,175,[5_1|2]), (111,184,[5_1|2]), (111,193,[5_1|2]), (111,202,[5_1|2]), (111,211,[3_1|2]), (111,220,[5_1|2]), (111,229,[5_1|2]), (111,238,[3_1|2]), (111,247,[1_1|2]), (111,256,[2_1|2]), (111,265,[2_1|2]), (111,274,[5_1|2]), (111,283,[5_1|2]), (111,292,[3_1|2]), (111,301,[5_1|2]), (111,310,[1_1|2]), (111,319,[5_1|2]), (111,328,[4_1|2]), (111,337,[3_1|2]), (111,346,[4_1|2]), (111,355,[4_1|2]), (111,364,[4_1|2]), (111,373,[4_1|2]), (111,382,[0_1|2]), (111,391,[0_1|2]), (111,400,[4_1|2]), (111,409,[2_1|2]), (111,418,[0_1|2]), (111,427,[4_1|2]), (111,436,[0_1|2]), (111,445,[4_1|2]), (111,454,[4_1|2]), (111,463,[2_1|2]), (111,472,[4_1|2]), (111,481,[4_1|2]), (111,490,[1_1|2]), (111,499,[1_1|2]), (111,508,[5_1|2]), (111,517,[1_1|2]), (111,526,[4_1|2]), (111,535,[2_1|2]), (111,544,[2_1|2]), (111,553,[2_1|2]), (111,562,[2_1|2]), (112,113,[0_1|2]), (113,114,[3_1|2]), (114,115,[4_1|2]), (115,116,[4_1|2]), (116,117,[3_1|2]), (117,118,[1_1|2]), (118,119,[4_1|2]), (119,120,[5_1|2]), (119,319,[5_1|2]), (120,111,[4_1|2]), (120,121,[4_1|2]), (120,139,[4_1|2]), (120,211,[4_1|2]), (120,238,[4_1|2]), (120,292,[4_1|2]), (120,337,[4_1|2]), (120,185,[4_1|2]), (120,373,[4_1|2]), (120,382,[0_1|2]), (120,391,[0_1|2]), (120,400,[4_1|2]), (120,409,[2_1|2]), (120,418,[0_1|2]), (120,427,[4_1|2]), (120,436,[0_1|2]), (120,445,[4_1|2]), (120,454,[4_1|2]), (120,463,[2_1|2]), (120,472,[4_1|2]), (120,481,[4_1|2]), (120,571,[4_1|3]), (121,122,[2_1|2]), (122,123,[4_1|2]), (123,124,[4_1|2]), (124,125,[1_1|2]), (125,126,[1_1|2]), (126,127,[4_1|2]), (127,128,[0_1|2]), (128,129,[2_1|2]), (128,562,[2_1|2]), (129,111,[4_1|2]), (129,157,[4_1|2]), (129,166,[4_1|2]), (129,175,[4_1|2]), (129,184,[4_1|2]), (129,193,[4_1|2]), (129,202,[4_1|2]), (129,220,[4_1|2]), (129,229,[4_1|2]), (129,274,[4_1|2]), (129,283,[4_1|2]), (129,301,[4_1|2]), (129,319,[4_1|2]), (129,508,[4_1|2]), (129,230,[4_1|2]), (129,373,[4_1|2]), (129,382,[0_1|2]), (129,391,[0_1|2]), (129,400,[4_1|2]), (129,409,[2_1|2]), (129,418,[0_1|2]), (129,427,[4_1|2]), (129,436,[0_1|2]), (129,445,[4_1|2]), (129,454,[4_1|2]), (129,463,[2_1|2]), (129,472,[4_1|2]), (129,481,[4_1|2]), (129,571,[4_1|3]), (130,131,[4_1|2]), (131,132,[4_1|2]), (132,133,[0_1|2]), (133,134,[0_1|2]), (134,135,[1_1|2]), (135,136,[0_1|2]), (136,137,[1_1|2]), (137,138,[3_1|2]), (138,111,[1_1|2]), (138,112,[1_1|2]), (138,130,[1_1|2]), (138,247,[1_1|2]), (138,310,[1_1|2]), (138,490,[1_1|2]), (138,499,[1_1|2]), (138,517,[1_1|2]), (138,401,[1_1|2]), (138,508,[5_1|2]), (139,140,[0_1|2]), (140,141,[0_1|2]), (141,142,[3_1|2]), (142,143,[1_1|2]), (143,144,[2_1|2]), (144,145,[1_1|2]), (145,146,[5_1|2]), (146,147,[4_1|2]), (146,472,[4_1|2]), (146,481,[4_1|2]), (147,111,[2_1|2]), (147,148,[2_1|2]), (147,382,[2_1|2]), (147,391,[2_1|2]), (147,418,[2_1|2]), (147,436,[2_1|2]), (147,140,[2_1|2]), (147,526,[4_1|2]), (147,535,[2_1|2]), (147,544,[2_1|2]), (147,553,[2_1|2]), (147,562,[2_1|2]), (148,149,[5_1|2]), (149,150,[0_1|2]), (150,151,[3_1|2]), (151,152,[4_1|2]), (152,153,[1_1|2]), (153,154,[0_1|2]), (154,155,[3_1|2]), (155,156,[5_1|2]), (156,111,[1_1|2]), (156,112,[1_1|2]), (156,130,[1_1|2]), (156,247,[1_1|2]), (156,310,[1_1|2]), (156,490,[1_1|2]), (156,499,[1_1|2]), (156,517,[1_1|2]), (156,221,[1_1|2]), (156,509,[1_1|2]), (156,508,[5_1|2]), (157,158,[0_1|2]), (158,159,[3_1|2]), (159,160,[2_1|2]), (160,161,[1_1|2]), (161,162,[2_1|2]), (162,163,[3_1|2]), (163,164,[4_1|2]), (164,165,[0_1|2]), (165,111,[0_1|2]), (165,148,[0_1|2]), (165,382,[0_1|2]), (165,391,[0_1|2]), (165,418,[0_1|2]), (165,436,[0_1|2]), (165,328,[4_1|2]), (165,337,[3_1|2]), (165,346,[4_1|2]), (165,355,[4_1|2]), (165,364,[4_1|2]), (166,167,[2_1|2]), (167,168,[1_1|2]), (168,169,[2_1|2]), (169,170,[3_1|2]), (170,171,[0_1|2]), (171,172,[0_1|2]), (172,173,[3_1|2]), (173,174,[4_1|2]), (173,472,[4_1|2]), (173,481,[4_1|2]), (174,111,[2_1|2]), (174,256,[2_1|2]), (174,265,[2_1|2]), (174,409,[2_1|2]), (174,463,[2_1|2]), (174,535,[2_1|2]), (174,544,[2_1|2]), (174,553,[2_1|2]), (174,562,[2_1|2]), (174,329,[2_1|2]), (174,482,[2_1|2]), (174,546,[2_1|2]), (174,526,[4_1|2]), (175,176,[4_1|2]), (176,177,[4_1|2]), (177,178,[4_1|2]), (178,179,[4_1|2]), (179,180,[0_1|2]), (180,181,[4_1|2]), (181,182,[4_1|2]), (182,183,[3_1|2]), (182,139,[3_1|2]), (183,111,[0_1|2]), (183,256,[0_1|2]), (183,265,[0_1|2]), (183,409,[0_1|2]), (183,463,[0_1|2]), (183,535,[0_1|2]), (183,544,[0_1|2]), (183,553,[0_1|2]), (183,562,[0_1|2]), (183,329,[0_1|2]), (183,482,[0_1|2]), (183,328,[4_1|2]), (183,337,[3_1|2]), (183,346,[4_1|2]), (183,355,[4_1|2]), (183,364,[4_1|2]), (184,185,[3_1|2]), (185,186,[5_1|2]), (186,187,[5_1|2]), (187,188,[0_1|2]), (188,189,[1_1|2]), (189,190,[1_1|2]), (190,191,[2_1|2]), (191,192,[3_1|2]), (192,111,[4_1|2]), (192,328,[4_1|2]), (192,346,[4_1|2]), (192,355,[4_1|2]), (192,364,[4_1|2]), (192,373,[4_1|2]), (192,400,[4_1|2]), (192,427,[4_1|2]), (192,445,[4_1|2]), (192,454,[4_1|2]), (192,472,[4_1|2]), (192,481,[4_1|2]), (192,526,[4_1|2]), (192,176,[4_1|2]), (192,203,[4_1|2]), (192,302,[4_1|2]), (192,320,[4_1|2]), (192,382,[0_1|2]), (192,391,[0_1|2]), (192,409,[2_1|2]), (192,418,[0_1|2]), (192,436,[0_1|2]), (192,463,[2_1|2]), (192,571,[4_1|3]), (193,194,[2_1|2]), (194,195,[0_1|2]), (195,196,[0_1|2]), (196,197,[3_1|2]), (197,198,[2_1|2]), (198,199,[1_1|2]), (199,200,[4_1|2]), (200,201,[4_1|2]), (200,445,[4_1|2]), (200,454,[4_1|2]), (201,111,[3_1|2]), (201,157,[3_1|2]), (201,166,[3_1|2]), (201,175,[3_1|2]), (201,184,[3_1|2]), (201,193,[3_1|2]), (201,202,[3_1|2]), (201,220,[3_1|2]), (201,229,[3_1|2]), (201,274,[3_1|2]), (201,283,[3_1|2]), (201,301,[3_1|2]), (201,319,[3_1|2]), (201,508,[3_1|2]), (201,230,[3_1|2]), (201,112,[1_1|2]), (201,121,[3_1|2]), (201,130,[1_1|2]), (201,139,[3_1|2]), (201,148,[0_1|2]), (201,580,[1_1|3]), (202,203,[4_1|2]), (203,204,[0_1|2]), (204,205,[0_1|2]), (205,206,[1_1|2]), (206,207,[1_1|2]), (207,208,[1_1|2]), (208,209,[4_1|2]), (208,454,[4_1|2]), (209,210,[3_1|2]), (209,112,[1_1|2]), (209,121,[3_1|2]), (209,130,[1_1|2]), (209,589,[1_1|3]), (210,111,[5_1|2]), (210,157,[5_1|2]), (210,166,[5_1|2]), (210,175,[5_1|2]), (210,184,[5_1|2]), (210,193,[5_1|2]), (210,202,[5_1|2]), (210,220,[5_1|2]), (210,229,[5_1|2]), (210,274,[5_1|2]), (210,283,[5_1|2]), (210,301,[5_1|2]), (210,319,[5_1|2]), (210,508,[5_1|2]), (210,230,[5_1|2]), (210,211,[3_1|2]), (210,238,[3_1|2]), (210,247,[1_1|2]), (210,256,[2_1|2]), (210,265,[2_1|2]), (210,292,[3_1|2]), (210,310,[1_1|2]), (211,212,[4_1|2]), (212,213,[5_1|2]), (213,214,[4_1|2]), (214,215,[0_1|2]), (215,216,[0_1|2]), (216,217,[4_1|2]), (217,218,[0_1|2]), (218,219,[3_1|2]), (219,111,[4_1|2]), (219,328,[4_1|2]), (219,346,[4_1|2]), (219,355,[4_1|2]), (219,364,[4_1|2]), (219,373,[4_1|2]), (219,400,[4_1|2]), (219,427,[4_1|2]), (219,445,[4_1|2]), (219,454,[4_1|2]), (219,472,[4_1|2]), (219,481,[4_1|2]), (219,526,[4_1|2]), (219,176,[4_1|2]), (219,203,[4_1|2]), (219,302,[4_1|2]), (219,320,[4_1|2]), (219,382,[0_1|2]), (219,391,[0_1|2]), (219,409,[2_1|2]), (219,418,[0_1|2]), (219,436,[0_1|2]), (219,463,[2_1|2]), (219,571,[4_1|3]), (220,221,[1_1|2]), (221,222,[2_1|2]), (222,223,[4_1|2]), (223,224,[4_1|2]), (224,225,[4_1|2]), (225,226,[1_1|2]), (226,227,[3_1|2]), (227,228,[3_1|2]), (228,111,[4_1|2]), (228,112,[4_1|2]), (228,130,[4_1|2]), (228,247,[4_1|2]), (228,310,[4_1|2]), (228,490,[4_1|2]), (228,499,[4_1|2]), (228,517,[4_1|2]), (228,373,[4_1|2]), (228,382,[0_1|2]), (228,391,[0_1|2]), (228,400,[4_1|2]), (228,409,[2_1|2]), (228,418,[0_1|2]), (228,427,[4_1|2]), (228,436,[0_1|2]), (228,445,[4_1|2]), (228,454,[4_1|2]), (228,463,[2_1|2]), (228,472,[4_1|2]), (228,481,[4_1|2]), (228,571,[4_1|3]), (229,230,[5_1|2]), (230,231,[2_1|2]), 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(485,486,[1_1|2]), (486,487,[4_1|2]), (487,488,[5_1|2]), (488,489,[1_1|2]), (489,111,[2_1|2]), (489,256,[2_1|2]), (489,265,[2_1|2]), (489,409,[2_1|2]), (489,463,[2_1|2]), (489,535,[2_1|2]), (489,544,[2_1|2]), (489,553,[2_1|2]), (489,562,[2_1|2]), (489,257,[2_1|2]), (489,438,[2_1|2]), (489,526,[4_1|2]), (490,491,[3_1|2]), (491,492,[4_1|2]), (492,493,[4_1|2]), (493,494,[2_1|2]), (494,495,[0_1|2]), (495,496,[2_1|2]), (496,497,[3_1|2]), (497,498,[1_1|2]), (498,111,[2_1|2]), (498,121,[2_1|2]), (498,139,[2_1|2]), (498,211,[2_1|2]), (498,238,[2_1|2]), (498,292,[2_1|2]), (498,337,[2_1|2]), (498,491,[2_1|2]), (498,526,[4_1|2]), (498,535,[2_1|2]), (498,544,[2_1|2]), (498,553,[2_1|2]), (498,562,[2_1|2]), (499,500,[2_1|2]), (500,501,[5_1|2]), (501,502,[1_1|2]), (502,503,[4_1|2]), (503,504,[0_1|2]), (504,505,[0_1|2]), (505,506,[2_1|2]), (505,544,[2_1|2]), (506,507,[5_1|2]), (506,319,[5_1|2]), (507,111,[4_1|2]), (507,121,[4_1|2]), (507,139,[4_1|2]), (507,211,[4_1|2]), (507,238,[4_1|2]), (507,292,[4_1|2]), (507,337,[4_1|2]), (507,185,[4_1|2]), (507,373,[4_1|2]), (507,382,[0_1|2]), (507,391,[0_1|2]), (507,400,[4_1|2]), (507,409,[2_1|2]), (507,418,[0_1|2]), (507,427,[4_1|2]), (507,436,[0_1|2]), (507,445,[4_1|2]), (507,454,[4_1|2]), (507,463,[2_1|2]), (507,472,[4_1|2]), (507,481,[4_1|2]), (507,571,[4_1|3]), (508,509,[1_1|2]), (509,510,[2_1|2]), (510,511,[3_1|2]), (511,512,[0_1|2]), (512,513,[2_1|2]), (513,514,[2_1|2]), (514,515,[0_1|2]), (515,516,[5_1|2]), (515,193,[5_1|2]), (515,202,[5_1|2]), (515,211,[3_1|2]), (515,220,[5_1|2]), (515,229,[5_1|2]), (515,238,[3_1|2]), (515,247,[1_1|2]), (515,256,[2_1|2]), (515,265,[2_1|2]), (515,274,[5_1|2]), (515,283,[5_1|2]), (515,643,[5_1|3]), (515,652,[5_1|3]), (516,111,[5_1|2]), (516,157,[5_1|2]), (516,166,[5_1|2]), (516,175,[5_1|2]), (516,184,[5_1|2]), (516,193,[5_1|2]), (516,202,[5_1|2]), (516,220,[5_1|2]), (516,229,[5_1|2]), (516,274,[5_1|2]), (516,283,[5_1|2]), (516,301,[5_1|2]), (516,319,[5_1|2]), (516,508,[5_1|2]), (516,230,[5_1|2]), (516,211,[3_1|2]), (516,238,[3_1|2]), (516,247,[1_1|2]), (516,256,[2_1|2]), (516,265,[2_1|2]), (516,292,[3_1|2]), (516,310,[1_1|2]), (517,518,[0_1|2]), (518,519,[2_1|2]), (519,520,[1_1|2]), (520,521,[2_1|2]), (521,522,[5_1|2]), (522,523,[2_1|2]), (523,524,[0_1|2]), (524,525,[5_1|2]), (524,310,[1_1|2]), (525,111,[2_1|2]), (525,148,[2_1|2]), (525,382,[2_1|2]), (525,391,[2_1|2]), (525,418,[2_1|2]), (525,436,[2_1|2]), (525,158,[2_1|2]), (525,275,[2_1|2]), (525,526,[4_1|2]), (525,535,[2_1|2]), (525,544,[2_1|2]), (525,553,[2_1|2]), (525,562,[2_1|2]), (526,527,[0_1|2]), (527,528,[1_1|2]), (528,529,[4_1|2]), (529,530,[2_1|2]), (530,531,[1_1|2]), (531,532,[2_1|2]), (532,533,[0_1|2]), (532,328,[4_1|2]), (532,661,[4_1|3]), (533,534,[1_1|2]), (533,517,[1_1|2]), (534,111,[0_1|2]), (534,148,[0_1|2]), (534,382,[0_1|2]), (534,391,[0_1|2]), (534,418,[0_1|2]), (534,436,[0_1|2]), (534,158,[0_1|2]), (534,275,[0_1|2]), (534,328,[4_1|2]), (534,337,[3_1|2]), (534,346,[4_1|2]), (534,355,[4_1|2]), (534,364,[4_1|2]), (535,536,[0_1|2]), (536,537,[5_1|2]), (537,538,[1_1|2]), (538,539,[2_1|2]), (539,540,[0_1|2]), (540,541,[3_1|2]), (541,542,[2_1|2]), (542,543,[1_1|2]), (542,490,[1_1|2]), (542,499,[1_1|2]), (542,508,[5_1|2]), (543,111,[5_1|2]), (543,157,[5_1|2]), (543,166,[5_1|2]), (543,175,[5_1|2]), (543,184,[5_1|2]), (543,193,[5_1|2]), (543,202,[5_1|2]), (543,220,[5_1|2]), (543,229,[5_1|2]), (543,274,[5_1|2]), (543,283,[5_1|2]), (543,301,[5_1|2]), (543,319,[5_1|2]), (543,508,[5_1|2]), (543,230,[5_1|2]), (543,211,[3_1|2]), (543,238,[3_1|2]), (543,247,[1_1|2]), (543,256,[2_1|2]), (543,265,[2_1|2]), (543,292,[3_1|2]), (543,310,[1_1|2]), (544,545,[4_1|2]), (545,546,[2_1|2]), (546,547,[1_1|2]), (547,548,[2_1|2]), (548,549,[4_1|2]), (549,550,[4_1|2]), (550,551,[4_1|2]), (550,463,[2_1|2]), (551,552,[0_1|2]), (552,111,[5_1|2]), (552,157,[5_1|2]), (552,166,[5_1|2]), (552,175,[5_1|2]), (552,184,[5_1|2]), (552,193,[5_1|2]), (552,202,[5_1|2]), (552,220,[5_1|2]), (552,229,[5_1|2]), (552,274,[5_1|2]), (552,283,[5_1|2]), (552,301,[5_1|2]), (552,319,[5_1|2]), (552,508,[5_1|2]), (552,230,[5_1|2]), (552,211,[3_1|2]), (552,238,[3_1|2]), (552,247,[1_1|2]), (552,256,[2_1|2]), (552,265,[2_1|2]), (552,292,[3_1|2]), (552,310,[1_1|2]), (553,554,[3_1|2]), (554,555,[4_1|2]), (555,556,[0_1|2]), (556,557,[3_1|2]), (557,558,[3_1|2]), (558,559,[0_1|2]), (559,560,[1_1|2]), (560,561,[2_1|2]), (561,111,[1_1|2]), (561,112,[1_1|2]), (561,130,[1_1|2]), (561,247,[1_1|2]), (561,310,[1_1|2]), (561,490,[1_1|2]), (561,499,[1_1|2]), (561,517,[1_1|2]), (561,401,[1_1|2]), (561,508,[5_1|2]), (562,563,[3_1|2]), (563,564,[2_1|2]), (564,565,[0_1|2]), (565,566,[2_1|2]), (566,567,[0_1|2]), (567,568,[3_1|2]), (568,569,[1_1|2]), (569,570,[4_1|2]), (569,445,[4_1|2]), (569,454,[4_1|2]), (570,111,[3_1|2]), (570,157,[3_1|2]), (570,166,[3_1|2]), (570,175,[3_1|2]), (570,184,[3_1|2]), (570,193,[3_1|2]), (570,202,[3_1|2]), (570,220,[3_1|2]), (570,229,[3_1|2]), (570,274,[3_1|2]), (570,283,[3_1|2]), (570,301,[3_1|2]), (570,319,[3_1|2]), (570,508,[3_1|2]), (570,112,[1_1|2]), (570,121,[3_1|2]), (570,130,[1_1|2]), (570,139,[3_1|2]), (570,148,[0_1|2]), (570,580,[1_1|3]), (571,572,[0_1|3]), (572,573,[4_1|3]), (573,574,[0_1|3]), (574,575,[4_1|3]), (575,576,[0_1|3]), (576,577,[3_1|3]), (577,578,[4_1|3]), (578,579,[4_1|3]), (579,276,[4_1|3]), (580,581,[0_1|3]), (581,582,[3_1|3]), (582,583,[4_1|3]), (583,584,[4_1|3]), (584,585,[3_1|3]), (585,586,[1_1|3]), (586,587,[4_1|3]), (587,588,[5_1|3]), (588,185,[4_1|3]), (589,590,[0_1|3]), (590,591,[3_1|3]), (591,592,[4_1|3]), (592,593,[4_1|3]), (593,594,[3_1|3]), (594,595,[1_1|3]), (595,596,[4_1|3]), (596,597,[5_1|3]), (597,121,[4_1|3]), (597,139,[4_1|3]), (597,211,[4_1|3]), (597,238,[4_1|3]), (597,292,[4_1|3]), (597,337,[4_1|3]), (597,185,[4_1|3]), (598,599,[1_1|3]), (599,600,[2_1|3]), (600,601,[3_1|3]), (601,602,[0_1|3]), (602,603,[3_1|3]), (603,604,[2_1|3]), (604,605,[5_1|3]), (605,606,[1_1|3]), (606,185,[2_1|3]), (607,608,[0_1|3]), (608,609,[0_1|3]), (609,610,[3_1|3]), (610,611,[1_1|3]), (611,612,[2_1|3]), (612,613,[1_1|3]), (613,614,[5_1|3]), (614,615,[4_1|3]), (615,140,[2_1|3]), (616,617,[4_1|3]), (617,618,[4_1|3]), (618,619,[2_1|3]), (619,620,[5_1|3]), (620,621,[5_1|3]), (621,622,[0_1|3]), (622,623,[1_1|3]), (623,624,[4_1|3]), (624,158,[0_1|3]), (624,275,[0_1|3]), (625,626,[0_1|3]), (626,627,[3_1|3]), (627,628,[2_1|3]), (628,629,[1_1|3]), (629,630,[2_1|3]), (630,631,[3_1|3]), (631,632,[4_1|3]), (632,633,[0_1|3]), (633,148,[0_1|3]), (633,382,[0_1|3]), (633,391,[0_1|3]), (633,418,[0_1|3]), (633,436,[0_1|3]), (633,141,[0_1|3]), (634,635,[2_1|3]), (635,636,[1_1|3]), (636,637,[2_1|3]), (637,638,[3_1|3]), (638,639,[0_1|3]), (639,640,[0_1|3]), (640,641,[3_1|3]), (641,642,[4_1|3]), (642,546,[2_1|3]), (643,644,[2_1|3]), (644,645,[0_1|3]), (645,646,[0_1|3]), (646,647,[3_1|3]), (647,648,[2_1|3]), (648,649,[1_1|3]), (649,650,[4_1|3]), (650,651,[4_1|3]), (651,230,[3_1|3]), (652,653,[4_1|3]), (653,654,[0_1|3]), (654,655,[0_1|3]), (655,656,[1_1|3]), (656,657,[1_1|3]), (657,658,[1_1|3]), (658,659,[4_1|3]), (659,660,[3_1|3]), (660,230,[5_1|3]), (661,662,[2_1|3]), (662,663,[1_1|3]), (663,664,[2_1|3]), (664,665,[3_1|3]), (665,666,[4_1|3]), (666,667,[4_1|3]), (667,668,[3_1|3]), (668,669,[0_1|3]), (669,328,[4_1|3]), (669,346,[4_1|3]), (669,355,[4_1|3]), (669,364,[4_1|3]), (669,373,[4_1|3]), (669,400,[4_1|3]), (669,427,[4_1|3]), (669,445,[4_1|3]), (669,454,[4_1|3]), (669,472,[4_1|3]), (669,481,[4_1|3]), (669,526,[4_1|3]), (669,276,[4_1|3])}" ---------------------------------------- (8) BOUNDS(1, n^1)