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# AProVE Commit ID: 794c25de1cacf0d048858bcd21c9a779e1221865 marcel 20200619 unpublished dirty The Derivational Complexity (full) of the given DCpxTrs could be proven to be BOUNDS(1, n^1).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), 48 ms] (4) CpxRelTRS (5) RelTrsToTrsProof [UPPER BOUND(ID), 0 ms] (6) CpxTRS (7) CpxTrsMatchBoundsProof [FINISHED, 269 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(0(x1))) -> 2(2(2(3(3(4(0(0(3(3(x1)))))))))) 4(1(0(x1))) -> 0(3(4(3(3(3(4(3(0(3(x1)))))))))) 3(0(1(4(x1)))) -> 3(2(5(0(3(4(3(4(3(3(x1)))))))))) 5(3(1(4(x1)))) -> 0(3(3(3(4(4(3(3(3(0(x1)))))))))) 0(1(3(5(2(3(x1)))))) -> 0(1(3(3(2(3(3(0(5(4(x1)))))))))) 0(1(4(2(4(5(x1)))))) -> 0(0(2(0(5(0(3(3(3(1(x1)))))))))) 1(0(0(4(1(4(x1)))))) -> 1(4(1(1(0(3(4(3(3(3(x1)))))))))) 1(5(3(1(1(0(x1)))))) -> 1(0(3(3(2(0(5(4(3(3(x1)))))))))) 1(5(3(2(4(0(x1)))))) -> 4(1(0(3(0(3(3(3(2(3(x1)))))))))) 2(1(4(1(5(0(x1)))))) -> 2(4(4(3(4(3(3(2(3(2(x1)))))))))) 2(4(2(1(4(1(x1)))))) -> 0(0(3(0(0(3(3(0(2(2(x1)))))))))) 2(5(3(1(5(4(x1)))))) -> 2(2(3(3(3(5(2(2(2(1(x1)))))))))) 3(0(0(2(3(1(x1)))))) -> 3(5(5(1(3(3(2(2(0(1(x1)))))))))) 3(1(1(0(1(0(x1)))))) -> 3(0(3(4(0(4(1(5(1(3(x1)))))))))) 5(3(2(1(0(0(x1)))))) -> 3(3(3(4(4(0(3(0(3(5(x1)))))))))) 5(3(5(3(2(5(x1)))))) -> 3(3(3(4(4(3(3(5(0(5(x1)))))))))) 0(0(1(0(1(2(3(x1))))))) -> 0(3(3(3(5(0(3(4(3(0(x1)))))))))) 0(1(1(4(1(4(0(x1))))))) -> 0(4(4(3(2(5(2(3(3(3(x1)))))))))) 0(2(4(1(5(2(4(x1))))))) -> 4(2(5(4(1(3(2(3(3(3(x1)))))))))) 1(2(3(1(5(3(2(x1))))))) -> 1(3(0(2(5(3(3(4(5(5(x1)))))))))) 1(4(4(5(3(2(5(x1))))))) -> 4(3(4(4(3(3(3(4(2(5(x1)))))))))) 1(5(0(2(3(1(0(x1))))))) -> 5(2(3(0(3(3(2(3(3(0(x1)))))))))) 1(5(3(1(1(5(3(x1))))))) -> 4(5(4(2(5(3(2(3(3(4(x1)))))))))) 1(5(4(2(4(4(0(x1))))))) -> 1(5(1(0(2(0(4(3(3(0(x1)))))))))) 2(0(3(1(5(1(3(x1))))))) -> 5(5(0(3(4(0(4(4(3(3(x1)))))))))) 2(1(0(1(0(2(4(x1))))))) -> 2(5(4(5(5(0(4(3(3(2(x1)))))))))) 2(1(4(1(2(0(0(x1))))))) -> 1(3(2(3(3(4(0(4(0(3(x1)))))))))) 2(1(4(4(4(4(1(x1))))))) -> 1(4(2(0(3(5(3(3(4(1(x1)))))))))) 2(3(1(3(1(4(1(x1))))))) -> 2(2(5(3(0(2(3(3(3(1(x1)))))))))) 2(3(1(4(5(0(1(x1))))))) -> 0(0(4(3(3(5(3(1(1(1(x1)))))))))) 2(4(1(3(1(5(5(x1))))))) -> 4(5(5(3(3(0(0(4(3(3(x1)))))))))) 2(4(4(4(4(1(0(x1))))))) -> 0(2(5(0(5(0(5(0(3(3(x1)))))))))) 3(1(0(2(1(4(4(x1))))))) -> 3(2(0(4(3(3(1(1(4(2(x1)))))))))) 3(1(0(3(0(4(3(x1))))))) -> 3(4(0(5(3(3(3(5(0(3(x1)))))))))) 3(1(4(1(0(1(0(x1))))))) -> 3(0(4(0(5(3(3(4(0(5(x1)))))))))) 3(1(4(2(1(5(3(x1))))))) -> 3(1(0(3(3(4(0(3(3(0(x1)))))))))) 3(1(5(3(0(5(0(x1))))))) -> 3(2(2(1(4(3(3(5(1(4(x1)))))))))) 3(1(5(3(1(2(4(x1))))))) -> 3(3(1(1(0(1(2(1(2(4(x1)))))))))) 3(1(5(4(4(3(2(x1))))))) -> 3(2(5(1(0(4(3(3(4(4(x1)))))))))) 3(2(2(1(4(1(0(x1))))))) -> 3(1(2(0(3(3(3(5(5(0(x1)))))))))) 4(0(2(4(4(3(2(x1))))))) -> 4(5(2(1(2(3(3(5(1(3(x1)))))))))) 4(0(5(5(3(1(1(x1))))))) -> 3(3(3(1(0(1(1(1(2(1(x1)))))))))) 4(2(4(3(1(1(0(x1))))))) -> 4(1(0(4(4(0(5(4(3(3(x1)))))))))) 4(5(5(0(2(4(0(x1))))))) -> 3(3(3(0(0(3(4(2(4(0(x1)))))))))) 5(1(3(1(4(4(1(x1))))))) -> 0(4(4(5(2(3(3(3(5(1(x1)))))))))) 5(1(5(3(1(1(0(x1))))))) -> 3(1(3(4(3(3(2(2(1(3(x1)))))))))) 5(2(0(0(2(2(4(x1))))))) -> 3(3(3(5(1(3(4(0(2(4(x1)))))))))) 5(3(1(1(5(5(4(x1))))))) -> 5(3(3(3(1(5(5(4(5(1(x1)))))))))) 5(3(5(4(1(3(1(x1))))))) -> 0(3(3(4(3(5(1(2(3(1(x1)))))))))) 5(5(1(0(1(1(0(x1))))))) -> 2(5(5(4(5(1(2(2(3(3(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_4(x_1)) -> 4(encArg(x_1)) encArg(cons_3(x_1)) -> 3(encArg(x_1)) encArg(cons_5(x_1)) -> 5(encArg(x_1)) encArg(cons_1(x_1)) -> 1(encArg(x_1)) encArg(cons_2(x_1)) -> 2(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(1(0(x1))) -> 2(2(2(3(3(4(0(0(3(3(x1)))))))))) 4(1(0(x1))) -> 0(3(4(3(3(3(4(3(0(3(x1)))))))))) 3(0(1(4(x1)))) -> 3(2(5(0(3(4(3(4(3(3(x1)))))))))) 5(3(1(4(x1)))) -> 0(3(3(3(4(4(3(3(3(0(x1)))))))))) 0(1(3(5(2(3(x1)))))) -> 0(1(3(3(2(3(3(0(5(4(x1)))))))))) 0(1(4(2(4(5(x1)))))) -> 0(0(2(0(5(0(3(3(3(1(x1)))))))))) 1(0(0(4(1(4(x1)))))) -> 1(4(1(1(0(3(4(3(3(3(x1)))))))))) 1(5(3(1(1(0(x1)))))) -> 1(0(3(3(2(0(5(4(3(3(x1)))))))))) 1(5(3(2(4(0(x1)))))) -> 4(1(0(3(0(3(3(3(2(3(x1)))))))))) 2(1(4(1(5(0(x1)))))) -> 2(4(4(3(4(3(3(2(3(2(x1)))))))))) 2(4(2(1(4(1(x1)))))) -> 0(0(3(0(0(3(3(0(2(2(x1)))))))))) 2(5(3(1(5(4(x1)))))) -> 2(2(3(3(3(5(2(2(2(1(x1)))))))))) 3(0(0(2(3(1(x1)))))) -> 3(5(5(1(3(3(2(2(0(1(x1)))))))))) 3(1(1(0(1(0(x1)))))) -> 3(0(3(4(0(4(1(5(1(3(x1)))))))))) 5(3(2(1(0(0(x1)))))) -> 3(3(3(4(4(0(3(0(3(5(x1)))))))))) 5(3(5(3(2(5(x1)))))) -> 3(3(3(4(4(3(3(5(0(5(x1)))))))))) 0(0(1(0(1(2(3(x1))))))) -> 0(3(3(3(5(0(3(4(3(0(x1)))))))))) 0(1(1(4(1(4(0(x1))))))) -> 0(4(4(3(2(5(2(3(3(3(x1)))))))))) 0(2(4(1(5(2(4(x1))))))) -> 4(2(5(4(1(3(2(3(3(3(x1)))))))))) 1(2(3(1(5(3(2(x1))))))) -> 1(3(0(2(5(3(3(4(5(5(x1)))))))))) 1(4(4(5(3(2(5(x1))))))) -> 4(3(4(4(3(3(3(4(2(5(x1)))))))))) 1(5(0(2(3(1(0(x1))))))) -> 5(2(3(0(3(3(2(3(3(0(x1)))))))))) 1(5(3(1(1(5(3(x1))))))) -> 4(5(4(2(5(3(2(3(3(4(x1)))))))))) 1(5(4(2(4(4(0(x1))))))) -> 1(5(1(0(2(0(4(3(3(0(x1)))))))))) 2(0(3(1(5(1(3(x1))))))) -> 5(5(0(3(4(0(4(4(3(3(x1)))))))))) 2(1(0(1(0(2(4(x1))))))) -> 2(5(4(5(5(0(4(3(3(2(x1)))))))))) 2(1(4(1(2(0(0(x1))))))) -> 1(3(2(3(3(4(0(4(0(3(x1)))))))))) 2(1(4(4(4(4(1(x1))))))) -> 1(4(2(0(3(5(3(3(4(1(x1)))))))))) 2(3(1(3(1(4(1(x1))))))) -> 2(2(5(3(0(2(3(3(3(1(x1)))))))))) 2(3(1(4(5(0(1(x1))))))) -> 0(0(4(3(3(5(3(1(1(1(x1)))))))))) 2(4(1(3(1(5(5(x1))))))) -> 4(5(5(3(3(0(0(4(3(3(x1)))))))))) 2(4(4(4(4(1(0(x1))))))) -> 0(2(5(0(5(0(5(0(3(3(x1)))))))))) 3(1(0(2(1(4(4(x1))))))) -> 3(2(0(4(3(3(1(1(4(2(x1)))))))))) 3(1(0(3(0(4(3(x1))))))) -> 3(4(0(5(3(3(3(5(0(3(x1)))))))))) 3(1(4(1(0(1(0(x1))))))) -> 3(0(4(0(5(3(3(4(0(5(x1)))))))))) 3(1(4(2(1(5(3(x1))))))) -> 3(1(0(3(3(4(0(3(3(0(x1)))))))))) 3(1(5(3(0(5(0(x1))))))) -> 3(2(2(1(4(3(3(5(1(4(x1)))))))))) 3(1(5(3(1(2(4(x1))))))) -> 3(3(1(1(0(1(2(1(2(4(x1)))))))))) 3(1(5(4(4(3(2(x1))))))) -> 3(2(5(1(0(4(3(3(4(4(x1)))))))))) 3(2(2(1(4(1(0(x1))))))) -> 3(1(2(0(3(3(3(5(5(0(x1)))))))))) 4(0(2(4(4(3(2(x1))))))) -> 4(5(2(1(2(3(3(5(1(3(x1)))))))))) 4(0(5(5(3(1(1(x1))))))) -> 3(3(3(1(0(1(1(1(2(1(x1)))))))))) 4(2(4(3(1(1(0(x1))))))) -> 4(1(0(4(4(0(5(4(3(3(x1)))))))))) 4(5(5(0(2(4(0(x1))))))) -> 3(3(3(0(0(3(4(2(4(0(x1)))))))))) 5(1(3(1(4(4(1(x1))))))) -> 0(4(4(5(2(3(3(3(5(1(x1)))))))))) 5(1(5(3(1(1(0(x1))))))) -> 3(1(3(4(3(3(2(2(1(3(x1)))))))))) 5(2(0(0(2(2(4(x1))))))) -> 3(3(3(5(1(3(4(0(2(4(x1)))))))))) 5(3(1(1(5(5(4(x1))))))) -> 5(3(3(3(1(5(5(4(5(1(x1)))))))))) 5(3(5(4(1(3(1(x1))))))) -> 0(3(3(4(3(5(1(2(3(1(x1)))))))))) 5(5(1(0(1(1(0(x1))))))) -> 2(5(5(4(5(1(2(2(3(3(x1)))))))))) The (relative) TRS S consists of the following rules: encArg(cons_0(x_1)) -> 0(encArg(x_1)) encArg(cons_4(x_1)) -> 4(encArg(x_1)) encArg(cons_3(x_1)) -> 3(encArg(x_1)) encArg(cons_5(x_1)) -> 5(encArg(x_1)) encArg(cons_1(x_1)) -> 1(encArg(x_1)) encArg(cons_2(x_1)) -> 2(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(1(0(x1))) -> 2(2(2(3(3(4(0(0(3(3(x1)))))))))) 4(1(0(x1))) -> 0(3(4(3(3(3(4(3(0(3(x1)))))))))) 3(0(1(4(x1)))) -> 3(2(5(0(3(4(3(4(3(3(x1)))))))))) 5(3(1(4(x1)))) -> 0(3(3(3(4(4(3(3(3(0(x1)))))))))) 0(1(3(5(2(3(x1)))))) -> 0(1(3(3(2(3(3(0(5(4(x1)))))))))) 0(1(4(2(4(5(x1)))))) -> 0(0(2(0(5(0(3(3(3(1(x1)))))))))) 1(0(0(4(1(4(x1)))))) -> 1(4(1(1(0(3(4(3(3(3(x1)))))))))) 1(5(3(1(1(0(x1)))))) -> 1(0(3(3(2(0(5(4(3(3(x1)))))))))) 1(5(3(2(4(0(x1)))))) -> 4(1(0(3(0(3(3(3(2(3(x1)))))))))) 2(1(4(1(5(0(x1)))))) -> 2(4(4(3(4(3(3(2(3(2(x1)))))))))) 2(4(2(1(4(1(x1)))))) -> 0(0(3(0(0(3(3(0(2(2(x1)))))))))) 2(5(3(1(5(4(x1)))))) -> 2(2(3(3(3(5(2(2(2(1(x1)))))))))) 3(0(0(2(3(1(x1)))))) -> 3(5(5(1(3(3(2(2(0(1(x1)))))))))) 3(1(1(0(1(0(x1)))))) -> 3(0(3(4(0(4(1(5(1(3(x1)))))))))) 5(3(2(1(0(0(x1)))))) -> 3(3(3(4(4(0(3(0(3(5(x1)))))))))) 5(3(5(3(2(5(x1)))))) -> 3(3(3(4(4(3(3(5(0(5(x1)))))))))) 0(0(1(0(1(2(3(x1))))))) -> 0(3(3(3(5(0(3(4(3(0(x1)))))))))) 0(1(1(4(1(4(0(x1))))))) -> 0(4(4(3(2(5(2(3(3(3(x1)))))))))) 0(2(4(1(5(2(4(x1))))))) -> 4(2(5(4(1(3(2(3(3(3(x1)))))))))) 1(2(3(1(5(3(2(x1))))))) -> 1(3(0(2(5(3(3(4(5(5(x1)))))))))) 1(4(4(5(3(2(5(x1))))))) -> 4(3(4(4(3(3(3(4(2(5(x1)))))))))) 1(5(0(2(3(1(0(x1))))))) -> 5(2(3(0(3(3(2(3(3(0(x1)))))))))) 1(5(3(1(1(5(3(x1))))))) -> 4(5(4(2(5(3(2(3(3(4(x1)))))))))) 1(5(4(2(4(4(0(x1))))))) -> 1(5(1(0(2(0(4(3(3(0(x1)))))))))) 2(0(3(1(5(1(3(x1))))))) -> 5(5(0(3(4(0(4(4(3(3(x1)))))))))) 2(1(0(1(0(2(4(x1))))))) -> 2(5(4(5(5(0(4(3(3(2(x1)))))))))) 2(1(4(1(2(0(0(x1))))))) -> 1(3(2(3(3(4(0(4(0(3(x1)))))))))) 2(1(4(4(4(4(1(x1))))))) -> 1(4(2(0(3(5(3(3(4(1(x1)))))))))) 2(3(1(3(1(4(1(x1))))))) -> 2(2(5(3(0(2(3(3(3(1(x1)))))))))) 2(3(1(4(5(0(1(x1))))))) -> 0(0(4(3(3(5(3(1(1(1(x1)))))))))) 2(4(1(3(1(5(5(x1))))))) -> 4(5(5(3(3(0(0(4(3(3(x1)))))))))) 2(4(4(4(4(1(0(x1))))))) -> 0(2(5(0(5(0(5(0(3(3(x1)))))))))) 3(1(0(2(1(4(4(x1))))))) -> 3(2(0(4(3(3(1(1(4(2(x1)))))))))) 3(1(0(3(0(4(3(x1))))))) -> 3(4(0(5(3(3(3(5(0(3(x1)))))))))) 3(1(4(1(0(1(0(x1))))))) -> 3(0(4(0(5(3(3(4(0(5(x1)))))))))) 3(1(4(2(1(5(3(x1))))))) -> 3(1(0(3(3(4(0(3(3(0(x1)))))))))) 3(1(5(3(0(5(0(x1))))))) -> 3(2(2(1(4(3(3(5(1(4(x1)))))))))) 3(1(5(3(1(2(4(x1))))))) -> 3(3(1(1(0(1(2(1(2(4(x1)))))))))) 3(1(5(4(4(3(2(x1))))))) -> 3(2(5(1(0(4(3(3(4(4(x1)))))))))) 3(2(2(1(4(1(0(x1))))))) -> 3(1(2(0(3(3(3(5(5(0(x1)))))))))) 4(0(2(4(4(3(2(x1))))))) -> 4(5(2(1(2(3(3(5(1(3(x1)))))))))) 4(0(5(5(3(1(1(x1))))))) -> 3(3(3(1(0(1(1(1(2(1(x1)))))))))) 4(2(4(3(1(1(0(x1))))))) -> 4(1(0(4(4(0(5(4(3(3(x1)))))))))) 4(5(5(0(2(4(0(x1))))))) -> 3(3(3(0(0(3(4(2(4(0(x1)))))))))) 5(1(3(1(4(4(1(x1))))))) -> 0(4(4(5(2(3(3(3(5(1(x1)))))))))) 5(1(5(3(1(1(0(x1))))))) -> 3(1(3(4(3(3(2(2(1(3(x1)))))))))) 5(2(0(0(2(2(4(x1))))))) -> 3(3(3(5(1(3(4(0(2(4(x1)))))))))) 5(3(1(1(5(5(4(x1))))))) -> 5(3(3(3(1(5(5(4(5(1(x1)))))))))) 5(3(5(4(1(3(1(x1))))))) -> 0(3(3(4(3(5(1(2(3(1(x1)))))))))) 5(5(1(0(1(1(0(x1))))))) -> 2(5(5(4(5(1(2(2(3(3(x1)))))))))) The (relative) TRS S consists of the following rules: encArg(cons_0(x_1)) -> 0(encArg(x_1)) encArg(cons_4(x_1)) -> 4(encArg(x_1)) encArg(cons_3(x_1)) -> 3(encArg(x_1)) encArg(cons_5(x_1)) -> 5(encArg(x_1)) encArg(cons_1(x_1)) -> 1(encArg(x_1)) encArg(cons_2(x_1)) -> 2(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(1(0(x1))) -> 2(2(2(3(3(4(0(0(3(3(x1)))))))))) 4(1(0(x1))) -> 0(3(4(3(3(3(4(3(0(3(x1)))))))))) 3(0(1(4(x1)))) -> 3(2(5(0(3(4(3(4(3(3(x1)))))))))) 5(3(1(4(x1)))) -> 0(3(3(3(4(4(3(3(3(0(x1)))))))))) 0(1(3(5(2(3(x1)))))) -> 0(1(3(3(2(3(3(0(5(4(x1)))))))))) 0(1(4(2(4(5(x1)))))) -> 0(0(2(0(5(0(3(3(3(1(x1)))))))))) 1(0(0(4(1(4(x1)))))) -> 1(4(1(1(0(3(4(3(3(3(x1)))))))))) 1(5(3(1(1(0(x1)))))) -> 1(0(3(3(2(0(5(4(3(3(x1)))))))))) 1(5(3(2(4(0(x1)))))) -> 4(1(0(3(0(3(3(3(2(3(x1)))))))))) 2(1(4(1(5(0(x1)))))) -> 2(4(4(3(4(3(3(2(3(2(x1)))))))))) 2(4(2(1(4(1(x1)))))) -> 0(0(3(0(0(3(3(0(2(2(x1)))))))))) 2(5(3(1(5(4(x1)))))) -> 2(2(3(3(3(5(2(2(2(1(x1)))))))))) 3(0(0(2(3(1(x1)))))) -> 3(5(5(1(3(3(2(2(0(1(x1)))))))))) 3(1(1(0(1(0(x1)))))) -> 3(0(3(4(0(4(1(5(1(3(x1)))))))))) 5(3(2(1(0(0(x1)))))) -> 3(3(3(4(4(0(3(0(3(5(x1)))))))))) 5(3(5(3(2(5(x1)))))) -> 3(3(3(4(4(3(3(5(0(5(x1)))))))))) 0(0(1(0(1(2(3(x1))))))) -> 0(3(3(3(5(0(3(4(3(0(x1)))))))))) 0(1(1(4(1(4(0(x1))))))) -> 0(4(4(3(2(5(2(3(3(3(x1)))))))))) 0(2(4(1(5(2(4(x1))))))) -> 4(2(5(4(1(3(2(3(3(3(x1)))))))))) 1(2(3(1(5(3(2(x1))))))) -> 1(3(0(2(5(3(3(4(5(5(x1)))))))))) 1(4(4(5(3(2(5(x1))))))) -> 4(3(4(4(3(3(3(4(2(5(x1)))))))))) 1(5(0(2(3(1(0(x1))))))) -> 5(2(3(0(3(3(2(3(3(0(x1)))))))))) 1(5(3(1(1(5(3(x1))))))) -> 4(5(4(2(5(3(2(3(3(4(x1)))))))))) 1(5(4(2(4(4(0(x1))))))) -> 1(5(1(0(2(0(4(3(3(0(x1)))))))))) 2(0(3(1(5(1(3(x1))))))) -> 5(5(0(3(4(0(4(4(3(3(x1)))))))))) 2(1(0(1(0(2(4(x1))))))) -> 2(5(4(5(5(0(4(3(3(2(x1)))))))))) 2(1(4(1(2(0(0(x1))))))) -> 1(3(2(3(3(4(0(4(0(3(x1)))))))))) 2(1(4(4(4(4(1(x1))))))) -> 1(4(2(0(3(5(3(3(4(1(x1)))))))))) 2(3(1(3(1(4(1(x1))))))) -> 2(2(5(3(0(2(3(3(3(1(x1)))))))))) 2(3(1(4(5(0(1(x1))))))) -> 0(0(4(3(3(5(3(1(1(1(x1)))))))))) 2(4(1(3(1(5(5(x1))))))) -> 4(5(5(3(3(0(0(4(3(3(x1)))))))))) 2(4(4(4(4(1(0(x1))))))) -> 0(2(5(0(5(0(5(0(3(3(x1)))))))))) 3(1(0(2(1(4(4(x1))))))) -> 3(2(0(4(3(3(1(1(4(2(x1)))))))))) 3(1(0(3(0(4(3(x1))))))) -> 3(4(0(5(3(3(3(5(0(3(x1)))))))))) 3(1(4(1(0(1(0(x1))))))) -> 3(0(4(0(5(3(3(4(0(5(x1)))))))))) 3(1(4(2(1(5(3(x1))))))) -> 3(1(0(3(3(4(0(3(3(0(x1)))))))))) 3(1(5(3(0(5(0(x1))))))) -> 3(2(2(1(4(3(3(5(1(4(x1)))))))))) 3(1(5(3(1(2(4(x1))))))) -> 3(3(1(1(0(1(2(1(2(4(x1)))))))))) 3(1(5(4(4(3(2(x1))))))) -> 3(2(5(1(0(4(3(3(4(4(x1)))))))))) 3(2(2(1(4(1(0(x1))))))) -> 3(1(2(0(3(3(3(5(5(0(x1)))))))))) 4(0(2(4(4(3(2(x1))))))) -> 4(5(2(1(2(3(3(5(1(3(x1)))))))))) 4(0(5(5(3(1(1(x1))))))) -> 3(3(3(1(0(1(1(1(2(1(x1)))))))))) 4(2(4(3(1(1(0(x1))))))) -> 4(1(0(4(4(0(5(4(3(3(x1)))))))))) 4(5(5(0(2(4(0(x1))))))) -> 3(3(3(0(0(3(4(2(4(0(x1)))))))))) 5(1(3(1(4(4(1(x1))))))) -> 0(4(4(5(2(3(3(3(5(1(x1)))))))))) 5(1(5(3(1(1(0(x1))))))) -> 3(1(3(4(3(3(2(2(1(3(x1)))))))))) 5(2(0(0(2(2(4(x1))))))) -> 3(3(3(5(1(3(4(0(2(4(x1)))))))))) 5(3(1(1(5(5(4(x1))))))) -> 5(3(3(3(1(5(5(4(5(1(x1)))))))))) 5(3(5(4(1(3(1(x1))))))) -> 0(3(3(4(3(5(1(2(3(1(x1)))))))))) 5(5(1(0(1(1(0(x1))))))) -> 2(5(5(4(5(1(2(2(3(3(x1)))))))))) encArg(cons_0(x_1)) -> 0(encArg(x_1)) encArg(cons_4(x_1)) -> 4(encArg(x_1)) encArg(cons_3(x_1)) -> 3(encArg(x_1)) encArg(cons_5(x_1)) -> 5(encArg(x_1)) encArg(cons_1(x_1)) -> 1(encArg(x_1)) encArg(cons_2(x_1)) -> 2(encArg(x_1)) encode_0(x_1) -> 0(encArg(x_1)) encode_1(x_1) -> 1(encArg(x_1)) encode_2(x_1) -> 2(encArg(x_1)) encode_3(x_1) -> 3(encArg(x_1)) encode_4(x_1) -> 4(encArg(x_1)) encode_5(x_1) -> 5(encArg(x_1)) S is empty. Rewrite Strategy: FULL ---------------------------------------- (7) CpxTrsMatchBoundsProof (FINISHED) A linear upper bound on the runtime complexity of the TRS R could be shown with a Match Bound [MATCHBOUNDS1,MATCHBOUNDS2] of 3. The certificate found is represented by the following graph. "[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] {(151,152,[0_1|0, 4_1|0, 3_1|0, 5_1|0, 1_1|0, 2_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]), (151,153,[0_1|1, 4_1|1, 3_1|1, 5_1|1, 1_1|1, 2_1|1]), (151,154,[2_1|2]), (151,163,[0_1|2]), (151,172,[0_1|2]), (151,181,[0_1|2]), (151,190,[0_1|2]), (151,199,[4_1|2]), (151,208,[0_1|2]), (151,217,[4_1|2]), (151,226,[3_1|2]), (151,235,[4_1|2]), (151,244,[3_1|2]), (151,253,[3_1|2]), (151,262,[3_1|2]), (151,271,[3_1|2]), (151,280,[3_1|2]), (151,289,[3_1|2]), (151,298,[3_1|2]), (151,307,[3_1|2]), (151,316,[3_1|2]), (151,325,[3_1|2]), (151,334,[3_1|2]), (151,343,[3_1|2]), (151,352,[0_1|2]), (151,361,[5_1|2]), (151,370,[3_1|2]), (151,379,[3_1|2]), (151,388,[0_1|2]), (151,397,[0_1|2]), (151,406,[3_1|2]), (151,415,[3_1|2]), (151,424,[2_1|2]), (151,433,[1_1|2]), (151,442,[1_1|2]), (151,451,[4_1|2]), (151,460,[4_1|2]), (151,469,[5_1|2]), (151,478,[1_1|2]), (151,487,[1_1|2]), (151,496,[4_1|2]), (151,505,[2_1|2]), (151,514,[1_1|2]), (151,523,[1_1|2]), (151,532,[2_1|2]), (151,541,[0_1|2]), (151,550,[4_1|2]), (151,559,[0_1|2]), (151,568,[2_1|2]), (151,577,[5_1|2]), (151,586,[2_1|2]), (151,595,[0_1|2]), (151,604,[0_1|3]), (152,152,[cons_0_1|0, cons_4_1|0, cons_3_1|0, cons_5_1|0, cons_1_1|0, cons_2_1|0]), (153,152,[encArg_1|1]), (153,153,[0_1|1, 4_1|1, 3_1|1, 5_1|1, 1_1|1, 2_1|1]), (153,154,[2_1|2]), (153,163,[0_1|2]), (153,172,[0_1|2]), (153,181,[0_1|2]), (153,190,[0_1|2]), (153,199,[4_1|2]), (153,208,[0_1|2]), (153,217,[4_1|2]), (153,226,[3_1|2]), (153,235,[4_1|2]), (153,244,[3_1|2]), (153,253,[3_1|2]), (153,262,[3_1|2]), (153,271,[3_1|2]), (153,280,[3_1|2]), (153,289,[3_1|2]), (153,298,[3_1|2]), (153,307,[3_1|2]), (153,316,[3_1|2]), (153,325,[3_1|2]), (153,334,[3_1|2]), (153,343,[3_1|2]), (153,352,[0_1|2]), (153,361,[5_1|2]), (153,370,[3_1|2]), (153,379,[3_1|2]), (153,388,[0_1|2]), (153,397,[0_1|2]), (153,406,[3_1|2]), (153,415,[3_1|2]), (153,424,[2_1|2]), (153,433,[1_1|2]), (153,442,[1_1|2]), (153,451,[4_1|2]), (153,460,[4_1|2]), (153,469,[5_1|2]), (153,478,[1_1|2]), (153,487,[1_1|2]), (153,496,[4_1|2]), (153,505,[2_1|2]), (153,514,[1_1|2]), (153,523,[1_1|2]), (153,532,[2_1|2]), (153,541,[0_1|2]), (153,550,[4_1|2]), (153,559,[0_1|2]), (153,568,[2_1|2]), (153,577,[5_1|2]), (153,586,[2_1|2]), (153,595,[0_1|2]), (153,604,[0_1|3]), (154,155,[2_1|2]), (155,156,[2_1|2]), (156,157,[3_1|2]), (157,158,[3_1|2]), (158,159,[4_1|2]), (159,160,[0_1|2]), (160,161,[0_1|2]), (161,162,[3_1|2]), (162,153,[3_1|2]), (162,163,[3_1|2]), (162,172,[3_1|2]), (162,181,[3_1|2]), (162,190,[3_1|2]), (162,208,[3_1|2]), (162,352,[3_1|2]), (162,388,[3_1|2]), (162,397,[3_1|2]), (162,541,[3_1|2]), (162,559,[3_1|2]), (162,595,[3_1|2]), (162,443,[3_1|2]), (162,253,[3_1|2]), (162,262,[3_1|2]), (162,271,[3_1|2]), (162,280,[3_1|2]), (162,289,[3_1|2]), (162,298,[3_1|2]), (162,307,[3_1|2]), (162,316,[3_1|2]), (162,325,[3_1|2]), (162,334,[3_1|2]), (162,343,[3_1|2]), (162,604,[3_1|2]), (163,164,[1_1|2]), (164,165,[3_1|2]), (165,166,[3_1|2]), (166,167,[2_1|2]), (167,168,[3_1|2]), (168,169,[3_1|2]), (169,170,[0_1|2]), (170,171,[5_1|2]), (171,153,[4_1|2]), (171,226,[4_1|2, 3_1|2]), (171,244,[4_1|2, 3_1|2]), (171,253,[4_1|2]), (171,262,[4_1|2]), (171,271,[4_1|2]), (171,280,[4_1|2]), (171,289,[4_1|2]), (171,298,[4_1|2]), (171,307,[4_1|2]), (171,316,[4_1|2]), (171,325,[4_1|2]), (171,334,[4_1|2]), (171,343,[4_1|2]), (171,370,[4_1|2]), (171,379,[4_1|2]), (171,406,[4_1|2]), (171,415,[4_1|2]), (171,471,[4_1|2]), (171,208,[0_1|2]), (171,217,[4_1|2]), (171,235,[4_1|2]), (171,613,[0_1|3]), (172,173,[0_1|2]), (173,174,[2_1|2]), (174,175,[0_1|2]), (175,176,[5_1|2]), (176,177,[0_1|2]), (177,178,[3_1|2]), (178,179,[3_1|2]), (179,180,[3_1|2]), (179,271,[3_1|2]), (179,280,[3_1|2]), (179,289,[3_1|2]), (179,298,[3_1|2]), (179,307,[3_1|2]), (179,316,[3_1|2]), (179,325,[3_1|2]), (179,334,[3_1|2]), (180,153,[1_1|2]), (180,361,[1_1|2]), (180,469,[1_1|2, 5_1|2]), (180,577,[1_1|2]), (180,218,[1_1|2]), (180,452,[1_1|2]), (180,551,[1_1|2]), (180,433,[1_1|2]), (180,442,[1_1|2]), (180,451,[4_1|2]), (180,460,[4_1|2]), (180,478,[1_1|2]), (180,487,[1_1|2]), (180,496,[4_1|2]), (180,604,[0_1|3]), (181,182,[4_1|2]), (182,183,[4_1|2]), (183,184,[3_1|2]), (184,185,[2_1|2]), (185,186,[5_1|2]), (186,187,[2_1|2]), (187,188,[3_1|2]), (188,189,[3_1|2]), (189,153,[3_1|2]), (189,163,[3_1|2]), (189,172,[3_1|2]), (189,181,[3_1|2]), (189,190,[3_1|2]), (189,208,[3_1|2]), (189,352,[3_1|2]), (189,388,[3_1|2]), (189,397,[3_1|2]), (189,541,[3_1|2]), (189,559,[3_1|2]), (189,595,[3_1|2]), (189,253,[3_1|2]), (189,262,[3_1|2]), (189,271,[3_1|2]), (189,280,[3_1|2]), (189,289,[3_1|2]), (189,298,[3_1|2]), (189,307,[3_1|2]), (189,316,[3_1|2]), (189,325,[3_1|2]), (189,334,[3_1|2]), (189,343,[3_1|2]), (189,604,[3_1|2]), (190,191,[3_1|2]), (191,192,[3_1|2]), (192,193,[3_1|2]), (193,194,[5_1|2]), (194,195,[0_1|2]), (195,196,[3_1|2]), (196,197,[4_1|2]), (197,198,[3_1|2]), (197,253,[3_1|2]), (197,262,[3_1|2]), (197,622,[3_1|3]), (198,153,[0_1|2]), (198,226,[0_1|2]), (198,244,[0_1|2]), (198,253,[0_1|2]), (198,262,[0_1|2]), (198,271,[0_1|2]), (198,280,[0_1|2]), (198,289,[0_1|2]), (198,298,[0_1|2]), (198,307,[0_1|2]), (198,316,[0_1|2]), (198,325,[0_1|2]), (198,334,[0_1|2]), (198,343,[0_1|2]), (198,370,[0_1|2]), (198,379,[0_1|2]), (198,406,[0_1|2]), (198,415,[0_1|2]), (198,154,[2_1|2]), (198,163,[0_1|2]), (198,172,[0_1|2]), (198,181,[0_1|2]), (198,190,[0_1|2]), (198,199,[4_1|2]), (198,631,[2_1|3]), (199,200,[2_1|2]), (200,201,[5_1|2]), (201,202,[4_1|2]), (202,203,[1_1|2]), (203,204,[3_1|2]), (204,205,[2_1|2]), (205,206,[3_1|2]), (206,207,[3_1|2]), (207,153,[3_1|2]), (207,199,[3_1|2]), (207,217,[3_1|2]), (207,235,[3_1|2]), (207,451,[3_1|2]), (207,460,[3_1|2]), (207,496,[3_1|2]), (207,550,[3_1|2]), (207,506,[3_1|2]), (207,253,[3_1|2]), (207,262,[3_1|2]), (207,271,[3_1|2]), (207,280,[3_1|2]), (207,289,[3_1|2]), (207,298,[3_1|2]), (207,307,[3_1|2]), (207,316,[3_1|2]), (207,325,[3_1|2]), (207,334,[3_1|2]), (207,343,[3_1|2]), (208,209,[3_1|2]), (209,210,[4_1|2]), (210,211,[3_1|2]), (211,212,[3_1|2]), (212,213,[3_1|2]), (213,214,[4_1|2]), (214,215,[3_1|2]), (215,216,[0_1|2]), (216,153,[3_1|2]), (216,163,[3_1|2]), (216,172,[3_1|2]), (216,181,[3_1|2]), (216,190,[3_1|2]), (216,208,[3_1|2]), (216,352,[3_1|2]), (216,388,[3_1|2]), (216,397,[3_1|2]), (216,541,[3_1|2]), (216,559,[3_1|2]), (216,595,[3_1|2]), (216,443,[3_1|2]), (216,253,[3_1|2]), (216,262,[3_1|2]), (216,271,[3_1|2]), (216,280,[3_1|2]), (216,289,[3_1|2]), (216,298,[3_1|2]), (216,307,[3_1|2]), (216,316,[3_1|2]), (216,325,[3_1|2]), (216,334,[3_1|2]), (216,343,[3_1|2]), (216,604,[3_1|2]), (217,218,[5_1|2]), (218,219,[2_1|2]), (219,220,[1_1|2]), (220,221,[2_1|2]), (221,222,[3_1|2]), (222,223,[3_1|2]), (223,224,[5_1|2]), (223,397,[0_1|2]), (224,225,[1_1|2]), (225,153,[3_1|2]), (225,154,[3_1|2]), (225,424,[3_1|2]), (225,505,[3_1|2]), (225,532,[3_1|2]), (225,568,[3_1|2]), (225,586,[3_1|2]), (225,254,[3_1|2]), (225,281,[3_1|2]), (225,317,[3_1|2]), (225,335,[3_1|2]), (225,253,[3_1|2]), (225,262,[3_1|2]), (225,271,[3_1|2]), (225,280,[3_1|2]), (225,289,[3_1|2]), (225,298,[3_1|2]), (225,307,[3_1|2]), (225,316,[3_1|2]), (225,325,[3_1|2]), (225,334,[3_1|2]), (225,343,[3_1|2]), (226,227,[3_1|2]), (227,228,[3_1|2]), (228,229,[1_1|2]), (229,230,[0_1|2]), (230,231,[1_1|2]), (231,232,[1_1|2]), (232,233,[1_1|2]), (233,234,[2_1|2]), (233,505,[2_1|2]), (233,514,[1_1|2]), (233,523,[1_1|2]), (233,532,[2_1|2]), (234,153,[1_1|2]), (234,433,[1_1|2]), (234,442,[1_1|2]), (234,478,[1_1|2]), (234,487,[1_1|2]), (234,514,[1_1|2]), (234,523,[1_1|2]), (234,451,[4_1|2]), (234,460,[4_1|2]), (234,469,[5_1|2]), (234,496,[4_1|2]), (234,604,[0_1|3]), (235,236,[1_1|2]), (236,237,[0_1|2]), (237,238,[4_1|2]), (238,239,[4_1|2]), (239,240,[0_1|2]), (240,241,[5_1|2]), (241,242,[4_1|2]), (242,243,[3_1|2]), (243,153,[3_1|2]), (243,163,[3_1|2]), (243,172,[3_1|2]), (243,181,[3_1|2]), (243,190,[3_1|2]), (243,208,[3_1|2]), (243,352,[3_1|2]), (243,388,[3_1|2]), (243,397,[3_1|2]), (243,541,[3_1|2]), (243,559,[3_1|2]), (243,595,[3_1|2]), (243,443,[3_1|2]), (243,253,[3_1|2]), (243,262,[3_1|2]), (243,271,[3_1|2]), (243,280,[3_1|2]), (243,289,[3_1|2]), (243,298,[3_1|2]), (243,307,[3_1|2]), (243,316,[3_1|2]), (243,325,[3_1|2]), (243,334,[3_1|2]), (243,343,[3_1|2]), (243,604,[3_1|2]), (244,245,[3_1|2]), (245,246,[3_1|2]), (246,247,[0_1|2]), (247,248,[0_1|2]), (248,249,[3_1|2]), (249,250,[4_1|2]), (250,251,[2_1|2]), (251,252,[4_1|2]), (251,217,[4_1|2]), (251,226,[3_1|2]), (252,153,[0_1|2]), (252,163,[0_1|2]), (252,172,[0_1|2]), (252,181,[0_1|2]), (252,190,[0_1|2]), (252,208,[0_1|2]), (252,352,[0_1|2]), (252,388,[0_1|2]), (252,397,[0_1|2]), (252,541,[0_1|2]), (252,559,[0_1|2]), (252,595,[0_1|2]), (252,154,[2_1|2]), (252,199,[4_1|2]), (252,631,[2_1|3]), (252,604,[0_1|2]), (253,254,[2_1|2]), (254,255,[5_1|2]), (255,256,[0_1|2]), (256,257,[3_1|2]), (257,258,[4_1|2]), (258,259,[3_1|2]), (259,260,[4_1|2]), (260,261,[3_1|2]), (261,153,[3_1|2]), (261,199,[3_1|2]), (261,217,[3_1|2]), (261,235,[3_1|2]), (261,451,[3_1|2]), (261,460,[3_1|2]), (261,496,[3_1|2]), (261,550,[3_1|2]), (261,434,[3_1|2]), (261,524,[3_1|2]), (261,253,[3_1|2]), (261,262,[3_1|2]), (261,271,[3_1|2]), (261,280,[3_1|2]), (261,289,[3_1|2]), (261,298,[3_1|2]), (261,307,[3_1|2]), (261,316,[3_1|2]), (261,325,[3_1|2]), (261,334,[3_1|2]), (261,343,[3_1|2]), (262,263,[5_1|2]), (263,264,[5_1|2]), (264,265,[1_1|2]), 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(489,490,[2_1|2]), (490,491,[5_1|2]), (491,492,[3_1|2]), (492,493,[3_1|2]), (493,494,[4_1|2]), (493,244,[3_1|2]), (494,495,[5_1|2]), (494,424,[2_1|2]), (495,153,[5_1|2]), (495,154,[5_1|2]), (495,424,[5_1|2, 2_1|2]), (495,505,[5_1|2]), (495,532,[5_1|2]), (495,568,[5_1|2]), (495,586,[5_1|2]), (495,254,[5_1|2]), (495,281,[5_1|2]), (495,317,[5_1|2]), (495,335,[5_1|2]), (495,352,[0_1|2]), (495,361,[5_1|2]), (495,370,[3_1|2]), (495,379,[3_1|2]), (495,388,[0_1|2]), (495,397,[0_1|2]), (495,406,[3_1|2]), (495,415,[3_1|2]), (496,497,[3_1|2]), (497,498,[4_1|2]), (498,499,[4_1|2]), (499,500,[3_1|2]), (500,501,[3_1|2]), (501,502,[3_1|2]), (502,503,[4_1|2]), (503,504,[2_1|2]), (503,568,[2_1|2]), (504,153,[5_1|2]), (504,361,[5_1|2]), (504,469,[5_1|2]), (504,577,[5_1|2]), (504,425,[5_1|2]), (504,533,[5_1|2]), (504,255,[5_1|2]), (504,336,[5_1|2]), (504,352,[0_1|2]), (504,370,[3_1|2]), (504,379,[3_1|2]), (504,388,[0_1|2]), (504,397,[0_1|2]), (504,406,[3_1|2]), (504,415,[3_1|2]), (504,424,[2_1|2]), (505,506,[4_1|2]), (506,507,[4_1|2]), (507,508,[3_1|2]), (508,509,[4_1|2]), (509,510,[3_1|2]), (510,511,[3_1|2]), (511,512,[2_1|2]), (512,513,[3_1|2]), (512,343,[3_1|2]), (513,153,[2_1|2]), (513,163,[2_1|2]), (513,172,[2_1|2]), (513,181,[2_1|2]), (513,190,[2_1|2]), (513,208,[2_1|2]), (513,352,[2_1|2]), (513,388,[2_1|2]), (513,397,[2_1|2]), (513,541,[2_1|2, 0_1|2]), (513,559,[2_1|2, 0_1|2]), (513,595,[2_1|2, 0_1|2]), (513,505,[2_1|2]), (513,514,[1_1|2]), (513,523,[1_1|2]), (513,532,[2_1|2]), (513,550,[4_1|2]), (513,568,[2_1|2]), (513,577,[5_1|2]), (513,586,[2_1|2]), (513,604,[2_1|2]), (514,515,[3_1|2]), (515,516,[2_1|2]), (516,517,[3_1|2]), (517,518,[3_1|2]), (518,519,[4_1|2]), (519,520,[0_1|2]), (520,521,[4_1|2]), (521,522,[0_1|2]), (522,153,[3_1|2]), (522,163,[3_1|2]), (522,172,[3_1|2]), (522,181,[3_1|2]), (522,190,[3_1|2]), (522,208,[3_1|2]), (522,352,[3_1|2]), (522,388,[3_1|2]), (522,397,[3_1|2]), (522,541,[3_1|2]), (522,559,[3_1|2]), (522,595,[3_1|2]), (522,173,[3_1|2]), (522,542,[3_1|2]), (522,596,[3_1|2]), (522,253,[3_1|2]), (522,262,[3_1|2]), (522,271,[3_1|2]), (522,280,[3_1|2]), (522,289,[3_1|2]), (522,298,[3_1|2]), (522,307,[3_1|2]), (522,316,[3_1|2]), (522,325,[3_1|2]), (522,334,[3_1|2]), (522,343,[3_1|2]), (522,604,[3_1|2]), (523,524,[4_1|2]), (524,525,[2_1|2]), (525,526,[0_1|2]), (526,527,[3_1|2]), (527,528,[5_1|2]), (528,529,[3_1|2]), (529,530,[3_1|2]), (530,531,[4_1|2]), (530,208,[0_1|2]), (530,649,[0_1|3]), (531,153,[1_1|2]), (531,433,[1_1|2]), (531,442,[1_1|2]), (531,478,[1_1|2]), (531,487,[1_1|2]), (531,514,[1_1|2]), (531,523,[1_1|2]), (531,236,[1_1|2]), (531,461,[1_1|2]), (531,451,[4_1|2]), (531,460,[4_1|2]), (531,469,[5_1|2]), (531,496,[4_1|2]), (531,604,[0_1|3]), (532,533,[5_1|2]), (533,534,[4_1|2]), (534,535,[5_1|2]), (535,536,[5_1|2]), (536,537,[0_1|2]), (537,538,[4_1|2]), (538,539,[3_1|2]), (539,540,[3_1|2]), (539,343,[3_1|2]), (540,153,[2_1|2]), (540,199,[2_1|2]), (540,217,[2_1|2]), (540,235,[2_1|2]), (540,451,[2_1|2]), (540,460,[2_1|2]), (540,496,[2_1|2]), (540,550,[2_1|2, 4_1|2]), (540,506,[2_1|2]), (540,505,[2_1|2]), (540,514,[1_1|2]), (540,523,[1_1|2]), (540,532,[2_1|2]), (540,541,[0_1|2]), (540,559,[0_1|2]), (540,568,[2_1|2]), (540,577,[5_1|2]), (540,586,[2_1|2]), (540,595,[0_1|2]), (541,542,[0_1|2]), (542,543,[3_1|2]), (543,544,[0_1|2]), (544,545,[0_1|2]), (545,546,[3_1|2]), (546,547,[3_1|2]), (547,548,[0_1|2]), (548,549,[2_1|2]), (549,153,[2_1|2]), (549,433,[2_1|2]), (549,442,[2_1|2]), (549,478,[2_1|2]), (549,487,[2_1|2]), (549,514,[2_1|2, 1_1|2]), (549,523,[2_1|2, 1_1|2]), (549,236,[2_1|2]), (549,461,[2_1|2]), (549,435,[2_1|2]), (549,505,[2_1|2]), (549,532,[2_1|2]), (549,541,[0_1|2]), (549,550,[4_1|2]), (549,559,[0_1|2]), (549,568,[2_1|2]), (549,577,[5_1|2]), (549,586,[2_1|2]), (549,595,[0_1|2]), (550,551,[5_1|2]), (551,552,[5_1|2]), (552,553,[3_1|2]), (553,554,[3_1|2]), (554,555,[0_1|2]), (555,556,[0_1|2]), (556,557,[4_1|2]), (557,558,[3_1|2]), (558,153,[3_1|2]), (558,361,[3_1|2]), (558,469,[3_1|2]), (558,577,[3_1|2]), (558,578,[3_1|2]), (558,253,[3_1|2]), (558,262,[3_1|2]), (558,271,[3_1|2]), (558,280,[3_1|2]), (558,289,[3_1|2]), (558,298,[3_1|2]), (558,307,[3_1|2]), (558,316,[3_1|2]), (558,325,[3_1|2]), (558,334,[3_1|2]), (558,343,[3_1|2]), (559,560,[2_1|2]), (560,561,[5_1|2]), (561,562,[0_1|2]), (562,563,[5_1|2]), (563,564,[0_1|2]), (564,565,[5_1|2]), (565,566,[0_1|2]), (566,567,[3_1|2]), (567,153,[3_1|2]), (567,163,[3_1|2]), (567,172,[3_1|2]), (567,181,[3_1|2]), (567,190,[3_1|2]), (567,208,[3_1|2]), (567,352,[3_1|2]), (567,388,[3_1|2]), (567,397,[3_1|2]), (567,541,[3_1|2]), (567,559,[3_1|2]), (567,595,[3_1|2]), (567,443,[3_1|2]), (567,237,[3_1|2]), (567,462,[3_1|2]), (567,253,[3_1|2]), (567,262,[3_1|2]), (567,271,[3_1|2]), (567,280,[3_1|2]), (567,289,[3_1|2]), (567,298,[3_1|2]), (567,307,[3_1|2]), (567,316,[3_1|2]), (567,325,[3_1|2]), (567,334,[3_1|2]), (567,343,[3_1|2]), (567,604,[3_1|2]), (568,569,[2_1|2]), (569,570,[3_1|2]), (570,571,[3_1|2]), (571,572,[3_1|2]), (572,573,[5_1|2]), (573,574,[2_1|2]), (574,575,[2_1|2]), (575,576,[2_1|2]), (575,505,[2_1|2]), (575,514,[1_1|2]), (575,523,[1_1|2]), (575,532,[2_1|2]), (576,153,[1_1|2]), (576,199,[1_1|2]), (576,217,[1_1|2]), (576,235,[1_1|2]), (576,451,[1_1|2, 4_1|2]), (576,460,[1_1|2, 4_1|2]), (576,496,[1_1|2, 4_1|2]), (576,550,[1_1|2]), (576,433,[1_1|2]), (576,442,[1_1|2]), (576,469,[5_1|2]), (576,478,[1_1|2]), (576,487,[1_1|2]), (576,604,[0_1|3]), (577,578,[5_1|2]), (578,579,[0_1|2]), (579,580,[3_1|2]), (580,581,[4_1|2]), (581,582,[0_1|2]), (582,583,[4_1|2]), (583,584,[4_1|2]), (584,585,[3_1|2]), (585,153,[3_1|2]), (585,226,[3_1|2]), (585,244,[3_1|2]), (585,253,[3_1|2]), (585,262,[3_1|2]), (585,271,[3_1|2]), (585,280,[3_1|2]), (585,289,[3_1|2]), (585,298,[3_1|2]), (585,307,[3_1|2]), (585,316,[3_1|2]), (585,325,[3_1|2]), (585,334,[3_1|2]), (585,343,[3_1|2]), (585,370,[3_1|2]), (585,379,[3_1|2]), (585,406,[3_1|2]), (585,415,[3_1|2]), (585,488,[3_1|2]), (585,515,[3_1|2]), (586,587,[2_1|2]), (587,588,[5_1|2]), (588,589,[3_1|2]), (589,590,[0_1|2]), (590,591,[2_1|2]), (591,592,[3_1|2]), (592,593,[3_1|2]), (593,594,[3_1|2]), (593,271,[3_1|2]), (593,280,[3_1|2]), (593,289,[3_1|2]), (593,298,[3_1|2]), (593,307,[3_1|2]), (593,316,[3_1|2]), (593,325,[3_1|2]), (593,334,[3_1|2]), (594,153,[1_1|2]), (594,433,[1_1|2]), (594,442,[1_1|2]), (594,478,[1_1|2]), (594,487,[1_1|2]), (594,514,[1_1|2]), (594,523,[1_1|2]), (594,236,[1_1|2]), (594,461,[1_1|2]), (594,435,[1_1|2]), (594,451,[4_1|2]), (594,460,[4_1|2]), (594,469,[5_1|2]), (594,496,[4_1|2]), (594,604,[0_1|3]), (595,596,[0_1|2]), (596,597,[4_1|2]), (597,598,[3_1|2]), (598,599,[3_1|2]), (599,600,[5_1|2]), (600,601,[3_1|2]), (601,602,[1_1|2]), (602,603,[1_1|2]), (603,153,[1_1|2]), (603,433,[1_1|2]), (603,442,[1_1|2]), (603,478,[1_1|2]), (603,487,[1_1|2]), (603,514,[1_1|2]), (603,523,[1_1|2]), (603,164,[1_1|2]), (603,451,[4_1|2]), (603,460,[4_1|2]), (603,469,[5_1|2]), (603,496,[4_1|2]), (603,604,[0_1|3]), (604,605,[3_1|3]), (605,606,[4_1|3]), (606,607,[3_1|3]), (607,608,[3_1|3]), (608,609,[3_1|3]), (609,610,[4_1|3]), (610,611,[3_1|3]), (611,612,[0_1|3]), (612,237,[3_1|3]), (612,462,[3_1|3]), (613,614,[3_1|3]), (614,615,[4_1|3]), (615,616,[3_1|3]), (616,617,[3_1|3]), (617,618,[3_1|3]), (618,619,[4_1|3]), (619,620,[3_1|3]), (620,621,[0_1|3]), (621,443,[3_1|3]), (621,309,[3_1|3]), (621,237,[3_1|3]), (621,462,[3_1|3]), (622,623,[2_1|3]), (623,624,[5_1|3]), (624,625,[0_1|3]), (625,626,[3_1|3]), (626,627,[4_1|3]), (627,628,[3_1|3]), (628,629,[4_1|3]), (629,630,[3_1|3]), (630,434,[3_1|3]), (630,524,[3_1|3]), (631,632,[2_1|3]), (632,633,[2_1|3]), (633,634,[3_1|3]), (634,635,[3_1|3]), (635,636,[4_1|3]), (636,637,[0_1|3]), (637,638,[0_1|3]), (638,639,[3_1|3]), (639,443,[3_1|3]), (639,309,[3_1|3]), (639,237,[3_1|3]), (639,462,[3_1|3]), (640,641,[2_1|3]), (641,642,[2_1|3]), (642,643,[3_1|3]), (643,644,[3_1|3]), (644,645,[4_1|3]), (645,646,[0_1|3]), (646,647,[0_1|3]), (647,648,[3_1|3]), (648,163,[3_1|3]), (648,172,[3_1|3]), (648,181,[3_1|3]), (648,190,[3_1|3]), (648,208,[3_1|3]), (648,352,[3_1|3]), (648,388,[3_1|3]), (648,397,[3_1|3]), (648,541,[3_1|3]), (648,559,[3_1|3]), (648,595,[3_1|3]), (648,604,[3_1|3]), (648,443,[3_1|3]), (648,309,[3_1|3]), (649,650,[3_1|3]), (650,651,[4_1|3]), (651,652,[3_1|3]), (652,653,[3_1|3]), (653,654,[3_1|3]), (654,655,[4_1|3]), (655,656,[3_1|3]), (656,657,[0_1|3]), (657,163,[3_1|3]), (657,172,[3_1|3]), (657,181,[3_1|3]), (657,190,[3_1|3]), (657,208,[3_1|3]), (657,352,[3_1|3]), (657,388,[3_1|3]), (657,397,[3_1|3]), (657,541,[3_1|3]), (657,559,[3_1|3]), (657,595,[3_1|3]), (657,604,[3_1|3]), (657,443,[3_1|3]), (657,237,[3_1|3]), (657,462,[3_1|3])}" ---------------------------------------- (8) BOUNDS(1, n^1)