WORST_CASE(?, O(n^1)) proof of /export/starexec/sandbox2/benchmark/theBenchmark.xml # AProVE Commit ID: 794c25de1cacf0d048858bcd21c9a779e1221865 marcel 20200619 unpublished dirty The Derivational Complexity (innermost) of the given DCpxTrs could be proven to be BOUNDS(1, n^1). (0) DCpxTrs (1) DerivationalComplexityToRuntimeComplexityProof [BOTH BOUNDS(ID, ID), 0 ms] (2) CpxRelTRS (3) SInnermostTerminationProof [BOTH CONCRETE BOUNDS(ID, ID), 45 ms] (4) CpxRelTRS (5) RelTrsToTrsProof [UPPER BOUND(ID), 0 ms] (6) CpxTRS (7) CpxTrsMatchBoundsProof [FINISHED, 40 ms] (8) BOUNDS(1, n^1) ---------------------------------------- (0) Obligation: The Derivational Complexity (innermost) of the given DCpxTrs could be proven to be BOUNDS(1, n^1). The TRS R consists of the following rules: 0(1(2(3(x1)))) -> 4(4(2(3(x1)))) 5(3(3(5(4(x1))))) -> 5(1(0(2(x1)))) 2(3(1(5(0(5(x1)))))) -> 2(1(3(5(0(5(x1)))))) 5(3(3(5(5(4(x1)))))) -> 4(2(4(3(2(x1))))) 5(1(4(5(1(1(5(x1))))))) -> 1(4(0(2(3(2(5(x1))))))) 3(3(4(3(1(3(0(5(x1)))))))) -> 3(5(2(4(5(0(5(2(x1)))))))) 3(1(2(2(2(1(3(1(3(x1))))))))) -> 1(4(3(1(5(0(2(2(x1)))))))) 3(4(2(0(5(2(3(5(3(x1))))))))) -> 3(5(4(4(2(2(0(5(1(x1))))))))) 5(5(1(3(3(5(4(0(0(x1))))))))) -> 3(1(0(1(4(2(4(3(x1)))))))) 3(0(2(5(1(5(0(1(5(0(x1)))))))))) -> 1(2(2(0(0(4(3(4(4(x1))))))))) 3(5(5(4(4(4(2(0(0(3(x1)))))))))) -> 1(1(2(3(2(3(4(1(x1)))))))) 3(0(4(3(3(5(0(4(4(0(4(2(x1)))))))))))) -> 3(4(5(5(3(2(0(5(1(4(2(x1))))))))))) 5(2(0(4(5(0(2(1(1(1(2(0(x1)))))))))))) -> 3(0(0(2(2(4(5(1(3(1(0(x1))))))))))) 5(5(4(3(3(4(5(4(5(0(0(4(5(x1))))))))))))) -> 5(0(1(0(3(1(4(1(2(3(1(x1))))))))))) 5(2(1(3(0(2(2(4(5(2(2(0(0(1(x1)))))))))))))) -> 3(4(5(1(4(3(3(5(0(3(0(1(x1)))))))))))) 3(1(5(2(5(5(3(3(4(4(5(2(3(2(4(x1))))))))))))))) -> 3(0(5(4(4(4(2(0(0(1(4(3(2(4(x1)))))))))))))) 4(5(5(4(3(4(4(2(4(2(4(3(3(3(3(x1))))))))))))))) -> 4(5(0(0(4(4(5(4(4(3(4(0(0(0(x1)))))))))))))) 0(1(2(4(3(1(1(4(1(5(0(2(5(3(2(4(3(x1))))))))))))))))) -> 4(2(2(1(3(1(3(0(4(5(1(2(2(5(5(4(1(x1))))))))))))))))) 2(4(3(0(4(2(0(0(2(5(1(0(2(0(0(4(4(x1))))))))))))))))) -> 5(4(1(2(1(2(1(0(2(0(4(3(1(0(0(2(x1)))))))))))))))) 3(3(3(1(0(2(1(1(5(2(4(0(0(4(5(2(2(0(2(x1))))))))))))))))))) -> 3(2(2(3(1(5(5(5(3(0(3(1(4(3(2(3(1(x1))))))))))))))))) 5(3(2(2(5(2(1(3(0(2(4(3(2(5(3(3(0(5(4(x1))))))))))))))))))) -> 1(3(0(3(3(4(5(5(0(5(5(4(0(2(1(1(0(0(2(x1))))))))))))))))))) 5(4(5(5(5(2(0(1(2(1(0(1(2(1(5(3(1(3(1(x1))))))))))))))))))) -> 0(0(3(5(3(0(2(0(1(4(0(5(4(3(0(2(4(1(x1)))))))))))))))))) 4(0(4(0(5(1(0(3(2(5(3(1(3(0(2(5(3(5(0(0(x1)))))))))))))))))))) -> 1(5(3(5(2(0(5(4(4(5(0(1(4(4(3(1(3(2(5(1(x1)))))))))))))))))))) 5(4(2(1(3(2(5(4(2(2(0(0(5(5(1(0(5(1(3(0(x1)))))))))))))))))))) -> 4(4(2(4(0(1(3(2(5(1(3(4(4(0(0(1(1(1(2(0(x1)))))))))))))))))))) 3(0(4(5(4(1(4(3(5(5(3(5(4(0(1(4(3(5(0(3(2(x1))))))))))))))))))))) -> 1(2(4(1(1(2(5(4(2(4(0(4(2(5(1(4(2(1(3(1(2(x1))))))))))))))))))))) S is empty. Rewrite Strategy: INNERMOST ---------------------------------------- (1) DerivationalComplexityToRuntimeComplexityProof (BOTH BOUNDS(ID, ID)) The following rules have been added to S to convert the given derivational complexity problem to a runtime complexity problem: encArg(1(x_1)) -> 1(encArg(x_1)) encArg(cons_0(x_1)) -> 0(encArg(x_1)) encArg(cons_5(x_1)) -> 5(encArg(x_1)) encArg(cons_2(x_1)) -> 2(encArg(x_1)) encArg(cons_3(x_1)) -> 3(encArg(x_1)) encArg(cons_4(x_1)) -> 4(encArg(x_1)) 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 (innermost) of the given CpxRelTRS could be proven to be BOUNDS(1, n^1). The TRS R consists of the following rules: 0(1(2(3(x1)))) -> 4(4(2(3(x1)))) 5(3(3(5(4(x1))))) -> 5(1(0(2(x1)))) 2(3(1(5(0(5(x1)))))) -> 2(1(3(5(0(5(x1)))))) 5(3(3(5(5(4(x1)))))) -> 4(2(4(3(2(x1))))) 5(1(4(5(1(1(5(x1))))))) -> 1(4(0(2(3(2(5(x1))))))) 3(3(4(3(1(3(0(5(x1)))))))) -> 3(5(2(4(5(0(5(2(x1)))))))) 3(1(2(2(2(1(3(1(3(x1))))))))) -> 1(4(3(1(5(0(2(2(x1)))))))) 3(4(2(0(5(2(3(5(3(x1))))))))) -> 3(5(4(4(2(2(0(5(1(x1))))))))) 5(5(1(3(3(5(4(0(0(x1))))))))) -> 3(1(0(1(4(2(4(3(x1)))))))) 3(0(2(5(1(5(0(1(5(0(x1)))))))))) -> 1(2(2(0(0(4(3(4(4(x1))))))))) 3(5(5(4(4(4(2(0(0(3(x1)))))))))) -> 1(1(2(3(2(3(4(1(x1)))))))) 3(0(4(3(3(5(0(4(4(0(4(2(x1)))))))))))) -> 3(4(5(5(3(2(0(5(1(4(2(x1))))))))))) 5(2(0(4(5(0(2(1(1(1(2(0(x1)))))))))))) -> 3(0(0(2(2(4(5(1(3(1(0(x1))))))))))) 5(5(4(3(3(4(5(4(5(0(0(4(5(x1))))))))))))) -> 5(0(1(0(3(1(4(1(2(3(1(x1))))))))))) 5(2(1(3(0(2(2(4(5(2(2(0(0(1(x1)))))))))))))) -> 3(4(5(1(4(3(3(5(0(3(0(1(x1)))))))))))) 3(1(5(2(5(5(3(3(4(4(5(2(3(2(4(x1))))))))))))))) -> 3(0(5(4(4(4(2(0(0(1(4(3(2(4(x1)))))))))))))) 4(5(5(4(3(4(4(2(4(2(4(3(3(3(3(x1))))))))))))))) -> 4(5(0(0(4(4(5(4(4(3(4(0(0(0(x1)))))))))))))) 0(1(2(4(3(1(1(4(1(5(0(2(5(3(2(4(3(x1))))))))))))))))) -> 4(2(2(1(3(1(3(0(4(5(1(2(2(5(5(4(1(x1))))))))))))))))) 2(4(3(0(4(2(0(0(2(5(1(0(2(0(0(4(4(x1))))))))))))))))) -> 5(4(1(2(1(2(1(0(2(0(4(3(1(0(0(2(x1)))))))))))))))) 3(3(3(1(0(2(1(1(5(2(4(0(0(4(5(2(2(0(2(x1))))))))))))))))))) -> 3(2(2(3(1(5(5(5(3(0(3(1(4(3(2(3(1(x1))))))))))))))))) 5(3(2(2(5(2(1(3(0(2(4(3(2(5(3(3(0(5(4(x1))))))))))))))))))) -> 1(3(0(3(3(4(5(5(0(5(5(4(0(2(1(1(0(0(2(x1))))))))))))))))))) 5(4(5(5(5(2(0(1(2(1(0(1(2(1(5(3(1(3(1(x1))))))))))))))))))) -> 0(0(3(5(3(0(2(0(1(4(0(5(4(3(0(2(4(1(x1)))))))))))))))))) 4(0(4(0(5(1(0(3(2(5(3(1(3(0(2(5(3(5(0(0(x1)))))))))))))))))))) -> 1(5(3(5(2(0(5(4(4(5(0(1(4(4(3(1(3(2(5(1(x1)))))))))))))))))))) 5(4(2(1(3(2(5(4(2(2(0(0(5(5(1(0(5(1(3(0(x1)))))))))))))))))))) -> 4(4(2(4(0(1(3(2(5(1(3(4(4(0(0(1(1(1(2(0(x1)))))))))))))))))))) 3(0(4(5(4(1(4(3(5(5(3(5(4(0(1(4(3(5(0(3(2(x1))))))))))))))))))))) -> 1(2(4(1(1(2(5(4(2(4(0(4(2(5(1(4(2(1(3(1(2(x1))))))))))))))))))))) The (relative) TRS S consists of the following rules: encArg(1(x_1)) -> 1(encArg(x_1)) encArg(cons_0(x_1)) -> 0(encArg(x_1)) encArg(cons_5(x_1)) -> 5(encArg(x_1)) encArg(cons_2(x_1)) -> 2(encArg(x_1)) encArg(cons_3(x_1)) -> 3(encArg(x_1)) encArg(cons_4(x_1)) -> 4(encArg(x_1)) 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: INNERMOST ---------------------------------------- (3) SInnermostTerminationProof (BOTH CONCRETE BOUNDS(ID, ID)) proved innermost termination of relative rules ---------------------------------------- (4) Obligation: The Runtime Complexity (innermost) of the given CpxRelTRS could be proven to be BOUNDS(1, n^1). The TRS R consists of the following rules: 0(1(2(3(x1)))) -> 4(4(2(3(x1)))) 5(3(3(5(4(x1))))) -> 5(1(0(2(x1)))) 2(3(1(5(0(5(x1)))))) -> 2(1(3(5(0(5(x1)))))) 5(3(3(5(5(4(x1)))))) -> 4(2(4(3(2(x1))))) 5(1(4(5(1(1(5(x1))))))) -> 1(4(0(2(3(2(5(x1))))))) 3(3(4(3(1(3(0(5(x1)))))))) -> 3(5(2(4(5(0(5(2(x1)))))))) 3(1(2(2(2(1(3(1(3(x1))))))))) -> 1(4(3(1(5(0(2(2(x1)))))))) 3(4(2(0(5(2(3(5(3(x1))))))))) -> 3(5(4(4(2(2(0(5(1(x1))))))))) 5(5(1(3(3(5(4(0(0(x1))))))))) -> 3(1(0(1(4(2(4(3(x1)))))))) 3(0(2(5(1(5(0(1(5(0(x1)))))))))) -> 1(2(2(0(0(4(3(4(4(x1))))))))) 3(5(5(4(4(4(2(0(0(3(x1)))))))))) -> 1(1(2(3(2(3(4(1(x1)))))))) 3(0(4(3(3(5(0(4(4(0(4(2(x1)))))))))))) -> 3(4(5(5(3(2(0(5(1(4(2(x1))))))))))) 5(2(0(4(5(0(2(1(1(1(2(0(x1)))))))))))) -> 3(0(0(2(2(4(5(1(3(1(0(x1))))))))))) 5(5(4(3(3(4(5(4(5(0(0(4(5(x1))))))))))))) -> 5(0(1(0(3(1(4(1(2(3(1(x1))))))))))) 5(2(1(3(0(2(2(4(5(2(2(0(0(1(x1)))))))))))))) -> 3(4(5(1(4(3(3(5(0(3(0(1(x1)))))))))))) 3(1(5(2(5(5(3(3(4(4(5(2(3(2(4(x1))))))))))))))) -> 3(0(5(4(4(4(2(0(0(1(4(3(2(4(x1)))))))))))))) 4(5(5(4(3(4(4(2(4(2(4(3(3(3(3(x1))))))))))))))) -> 4(5(0(0(4(4(5(4(4(3(4(0(0(0(x1)))))))))))))) 0(1(2(4(3(1(1(4(1(5(0(2(5(3(2(4(3(x1))))))))))))))))) -> 4(2(2(1(3(1(3(0(4(5(1(2(2(5(5(4(1(x1))))))))))))))))) 2(4(3(0(4(2(0(0(2(5(1(0(2(0(0(4(4(x1))))))))))))))))) -> 5(4(1(2(1(2(1(0(2(0(4(3(1(0(0(2(x1)))))))))))))))) 3(3(3(1(0(2(1(1(5(2(4(0(0(4(5(2(2(0(2(x1))))))))))))))))))) -> 3(2(2(3(1(5(5(5(3(0(3(1(4(3(2(3(1(x1))))))))))))))))) 5(3(2(2(5(2(1(3(0(2(4(3(2(5(3(3(0(5(4(x1))))))))))))))))))) -> 1(3(0(3(3(4(5(5(0(5(5(4(0(2(1(1(0(0(2(x1))))))))))))))))))) 5(4(5(5(5(2(0(1(2(1(0(1(2(1(5(3(1(3(1(x1))))))))))))))))))) -> 0(0(3(5(3(0(2(0(1(4(0(5(4(3(0(2(4(1(x1)))))))))))))))))) 4(0(4(0(5(1(0(3(2(5(3(1(3(0(2(5(3(5(0(0(x1)))))))))))))))))))) -> 1(5(3(5(2(0(5(4(4(5(0(1(4(4(3(1(3(2(5(1(x1)))))))))))))))))))) 5(4(2(1(3(2(5(4(2(2(0(0(5(5(1(0(5(1(3(0(x1)))))))))))))))))))) -> 4(4(2(4(0(1(3(2(5(1(3(4(4(0(0(1(1(1(2(0(x1)))))))))))))))))))) 3(0(4(5(4(1(4(3(5(5(3(5(4(0(1(4(3(5(0(3(2(x1))))))))))))))))))))) -> 1(2(4(1(1(2(5(4(2(4(0(4(2(5(1(4(2(1(3(1(2(x1))))))))))))))))))))) The (relative) TRS S consists of the following rules: encArg(1(x_1)) -> 1(encArg(x_1)) encArg(cons_0(x_1)) -> 0(encArg(x_1)) encArg(cons_5(x_1)) -> 5(encArg(x_1)) encArg(cons_2(x_1)) -> 2(encArg(x_1)) encArg(cons_3(x_1)) -> 3(encArg(x_1)) encArg(cons_4(x_1)) -> 4(encArg(x_1)) 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: INNERMOST ---------------------------------------- (5) RelTrsToTrsProof (UPPER BOUND(ID)) transformed relative TRS to TRS ---------------------------------------- (6) Obligation: The Runtime Complexity (innermost) of the given CpxTRS could be proven to be BOUNDS(1, n^1). The TRS R consists of the following rules: 0(1(2(3(x1)))) -> 4(4(2(3(x1)))) 5(3(3(5(4(x1))))) -> 5(1(0(2(x1)))) 2(3(1(5(0(5(x1)))))) -> 2(1(3(5(0(5(x1)))))) 5(3(3(5(5(4(x1)))))) -> 4(2(4(3(2(x1))))) 5(1(4(5(1(1(5(x1))))))) -> 1(4(0(2(3(2(5(x1))))))) 3(3(4(3(1(3(0(5(x1)))))))) -> 3(5(2(4(5(0(5(2(x1)))))))) 3(1(2(2(2(1(3(1(3(x1))))))))) -> 1(4(3(1(5(0(2(2(x1)))))))) 3(4(2(0(5(2(3(5(3(x1))))))))) -> 3(5(4(4(2(2(0(5(1(x1))))))))) 5(5(1(3(3(5(4(0(0(x1))))))))) -> 3(1(0(1(4(2(4(3(x1)))))))) 3(0(2(5(1(5(0(1(5(0(x1)))))))))) -> 1(2(2(0(0(4(3(4(4(x1))))))))) 3(5(5(4(4(4(2(0(0(3(x1)))))))))) -> 1(1(2(3(2(3(4(1(x1)))))))) 3(0(4(3(3(5(0(4(4(0(4(2(x1)))))))))))) -> 3(4(5(5(3(2(0(5(1(4(2(x1))))))))))) 5(2(0(4(5(0(2(1(1(1(2(0(x1)))))))))))) -> 3(0(0(2(2(4(5(1(3(1(0(x1))))))))))) 5(5(4(3(3(4(5(4(5(0(0(4(5(x1))))))))))))) -> 5(0(1(0(3(1(4(1(2(3(1(x1))))))))))) 5(2(1(3(0(2(2(4(5(2(2(0(0(1(x1)))))))))))))) -> 3(4(5(1(4(3(3(5(0(3(0(1(x1)))))))))))) 3(1(5(2(5(5(3(3(4(4(5(2(3(2(4(x1))))))))))))))) -> 3(0(5(4(4(4(2(0(0(1(4(3(2(4(x1)))))))))))))) 4(5(5(4(3(4(4(2(4(2(4(3(3(3(3(x1))))))))))))))) -> 4(5(0(0(4(4(5(4(4(3(4(0(0(0(x1)))))))))))))) 0(1(2(4(3(1(1(4(1(5(0(2(5(3(2(4(3(x1))))))))))))))))) -> 4(2(2(1(3(1(3(0(4(5(1(2(2(5(5(4(1(x1))))))))))))))))) 2(4(3(0(4(2(0(0(2(5(1(0(2(0(0(4(4(x1))))))))))))))))) -> 5(4(1(2(1(2(1(0(2(0(4(3(1(0(0(2(x1)))))))))))))))) 3(3(3(1(0(2(1(1(5(2(4(0(0(4(5(2(2(0(2(x1))))))))))))))))))) -> 3(2(2(3(1(5(5(5(3(0(3(1(4(3(2(3(1(x1))))))))))))))))) 5(3(2(2(5(2(1(3(0(2(4(3(2(5(3(3(0(5(4(x1))))))))))))))))))) -> 1(3(0(3(3(4(5(5(0(5(5(4(0(2(1(1(0(0(2(x1))))))))))))))))))) 5(4(5(5(5(2(0(1(2(1(0(1(2(1(5(3(1(3(1(x1))))))))))))))))))) -> 0(0(3(5(3(0(2(0(1(4(0(5(4(3(0(2(4(1(x1)))))))))))))))))) 4(0(4(0(5(1(0(3(2(5(3(1(3(0(2(5(3(5(0(0(x1)))))))))))))))))))) -> 1(5(3(5(2(0(5(4(4(5(0(1(4(4(3(1(3(2(5(1(x1)))))))))))))))))))) 5(4(2(1(3(2(5(4(2(2(0(0(5(5(1(0(5(1(3(0(x1)))))))))))))))))))) -> 4(4(2(4(0(1(3(2(5(1(3(4(4(0(0(1(1(1(2(0(x1)))))))))))))))))))) 3(0(4(5(4(1(4(3(5(5(3(5(4(0(1(4(3(5(0(3(2(x1))))))))))))))))))))) -> 1(2(4(1(1(2(5(4(2(4(0(4(2(5(1(4(2(1(3(1(2(x1))))))))))))))))))))) encArg(1(x_1)) -> 1(encArg(x_1)) encArg(cons_0(x_1)) -> 0(encArg(x_1)) encArg(cons_5(x_1)) -> 5(encArg(x_1)) encArg(cons_2(x_1)) -> 2(encArg(x_1)) encArg(cons_3(x_1)) -> 3(encArg(x_1)) encArg(cons_4(x_1)) -> 4(encArg(x_1)) 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: INNERMOST ---------------------------------------- (7) CpxTrsMatchBoundsProof (FINISHED) A linear upper bound on the runtime complexity of the TRS R could be shown with a Match Bound [MATCHBOUNDS1,MATCHBOUNDS2] of 2. The certificate found is represented by the following graph. "[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] {(125,126,[0_1|0, 5_1|0, 2_1|0, 3_1|0, 4_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]), (125,127,[1_1|1, 0_1|1, 5_1|1, 2_1|1, 3_1|1, 4_1|1]), (125,128,[4_1|2]), (125,131,[4_1|2]), (125,147,[5_1|2]), (125,150,[4_1|2]), (125,154,[1_1|2]), (125,172,[1_1|2]), (125,178,[3_1|2]), (125,185,[5_1|2]), (125,195,[3_1|2]), (125,205,[3_1|2]), (125,216,[0_1|2]), (125,233,[4_1|2]), (125,252,[2_1|2]), (125,257,[5_1|2]), (125,272,[3_1|2]), (125,279,[3_1|2]), (125,295,[1_1|2]), (125,302,[3_1|2]), (125,315,[3_1|2]), (125,323,[1_1|2]), (125,331,[3_1|2]), (125,341,[1_1|2]), (125,361,[1_1|2]), (125,368,[4_1|2]), (125,381,[1_1|2]), (126,126,[1_1|0, cons_0_1|0, cons_5_1|0, cons_2_1|0, cons_3_1|0, cons_4_1|0]), (127,126,[encArg_1|1]), (127,127,[1_1|1, 0_1|1, 5_1|1, 2_1|1, 3_1|1, 4_1|1]), (127,128,[4_1|2]), (127,131,[4_1|2]), (127,147,[5_1|2]), (127,150,[4_1|2]), (127,154,[1_1|2]), (127,172,[1_1|2]), (127,178,[3_1|2]), (127,185,[5_1|2]), (127,195,[3_1|2]), (127,205,[3_1|2]), (127,216,[0_1|2]), (127,233,[4_1|2]), (127,252,[2_1|2]), (127,257,[5_1|2]), (127,272,[3_1|2]), (127,279,[3_1|2]), (127,295,[1_1|2]), (127,302,[3_1|2]), (127,315,[3_1|2]), (127,323,[1_1|2]), (127,331,[3_1|2]), (127,341,[1_1|2]), (127,361,[1_1|2]), (127,368,[4_1|2]), (127,381,[1_1|2]), (128,129,[4_1|2]), (129,130,[2_1|2]), (129,252,[2_1|2]), (130,127,[3_1|2]), (130,178,[3_1|2]), (130,195,[3_1|2]), (130,205,[3_1|2]), (130,272,[3_1|2]), (130,279,[3_1|2]), (130,302,[3_1|2]), (130,315,[3_1|2]), (130,331,[3_1|2]), (130,295,[1_1|2]), (130,323,[1_1|2]), (130,341,[1_1|2]), (130,361,[1_1|2]), (131,132,[2_1|2]), (132,133,[2_1|2]), (133,134,[1_1|2]), (134,135,[3_1|2]), (135,136,[1_1|2]), (136,137,[3_1|2]), (137,138,[0_1|2]), (138,139,[4_1|2]), (139,140,[5_1|2]), (140,141,[1_1|2]), (141,142,[2_1|2]), (142,143,[2_1|2]), (143,144,[5_1|2]), (144,145,[5_1|2]), (145,146,[4_1|2]), (146,127,[1_1|2]), (146,178,[1_1|2]), (146,195,[1_1|2]), (146,205,[1_1|2]), (146,272,[1_1|2]), (146,279,[1_1|2]), (146,302,[1_1|2]), (146,315,[1_1|2]), (146,331,[1_1|2]), (147,148,[1_1|2]), (148,149,[0_1|2]), (149,127,[2_1|2]), (149,128,[2_1|2]), (149,131,[2_1|2]), (149,150,[2_1|2]), (149,233,[2_1|2]), (149,368,[2_1|2]), (149,258,[2_1|2]), (149,317,[2_1|2]), (149,252,[2_1|2]), (149,257,[5_1|2]), (150,151,[2_1|2]), (151,152,[4_1|2]), (152,153,[3_1|2]), (153,127,[2_1|2]), (153,128,[2_1|2]), (153,131,[2_1|2]), (153,150,[2_1|2]), (153,233,[2_1|2]), (153,368,[2_1|2]), (153,258,[2_1|2]), (153,252,[2_1|2]), (153,257,[5_1|2]), (154,155,[3_1|2]), (155,156,[0_1|2]), (156,157,[3_1|2]), (157,158,[3_1|2]), (158,159,[4_1|2]), (159,160,[5_1|2]), (160,161,[5_1|2]), (161,162,[0_1|2]), (162,163,[5_1|2]), (163,164,[5_1|2]), (164,165,[4_1|2]), (165,166,[0_1|2]), (166,167,[2_1|2]), (167,168,[1_1|2]), (168,169,[1_1|2]), (169,170,[0_1|2]), (170,171,[0_1|2]), (171,127,[2_1|2]), (171,128,[2_1|2]), (171,131,[2_1|2]), (171,150,[2_1|2]), (171,233,[2_1|2]), (171,368,[2_1|2]), (171,258,[2_1|2]), (171,305,[2_1|2]), (171,252,[2_1|2]), (171,257,[5_1|2]), (172,173,[4_1|2]), (173,174,[0_1|2]), (174,175,[2_1|2]), (175,176,[3_1|2]), (176,177,[2_1|2]), (177,127,[5_1|2]), (177,147,[5_1|2]), (177,185,[5_1|2]), (177,257,[5_1|2]), (177,382,[5_1|2]), (177,150,[4_1|2]), (177,154,[1_1|2]), (177,172,[1_1|2]), (177,178,[3_1|2]), (177,195,[3_1|2]), (177,205,[3_1|2]), (177,216,[0_1|2]), (177,233,[4_1|2]), (178,179,[1_1|2]), (179,180,[0_1|2]), (180,181,[1_1|2]), (181,182,[4_1|2]), (182,183,[2_1|2]), (182,257,[5_1|2]), (183,184,[4_1|2]), (184,127,[3_1|2]), (184,216,[3_1|2]), (184,217,[3_1|2]), (184,272,[3_1|2]), (184,279,[3_1|2]), (184,295,[1_1|2]), (184,302,[3_1|2]), (184,315,[3_1|2]), (184,323,[1_1|2]), (184,331,[3_1|2]), (184,341,[1_1|2]), (184,361,[1_1|2]), (185,186,[0_1|2]), (186,187,[1_1|2]), (187,188,[0_1|2]), (188,189,[3_1|2]), (189,190,[1_1|2]), (190,191,[4_1|2]), (191,192,[1_1|2]), (192,193,[2_1|2]), (192,252,[2_1|2]), (193,194,[3_1|2]), (193,295,[1_1|2]), (193,302,[3_1|2]), (194,127,[1_1|2]), (194,147,[1_1|2]), (194,185,[1_1|2]), (194,257,[1_1|2]), (194,369,[1_1|2]), (195,196,[0_1|2]), (196,197,[0_1|2]), (197,198,[2_1|2]), (198,199,[2_1|2]), (199,200,[4_1|2]), (200,201,[5_1|2]), (201,202,[1_1|2]), (202,203,[3_1|2]), (203,204,[1_1|2]), (204,127,[0_1|2]), (204,216,[0_1|2]), (204,128,[4_1|2]), (204,131,[4_1|2]), (205,206,[4_1|2]), (206,207,[5_1|2]), (207,208,[1_1|2]), (208,209,[4_1|2]), (209,210,[3_1|2]), (210,211,[3_1|2]), (211,212,[5_1|2]), (212,213,[0_1|2]), (213,214,[3_1|2]), (214,215,[0_1|2]), (214,128,[4_1|2]), (214,131,[4_1|2]), (215,127,[1_1|2]), (215,154,[1_1|2]), (215,172,[1_1|2]), (215,295,[1_1|2]), (215,323,[1_1|2]), (215,341,[1_1|2]), (215,361,[1_1|2]), (215,381,[1_1|2]), (216,217,[0_1|2]), (217,218,[3_1|2]), (218,219,[5_1|2]), (219,220,[3_1|2]), (220,221,[0_1|2]), (221,222,[2_1|2]), (222,223,[0_1|2]), (223,224,[1_1|2]), (224,225,[4_1|2]), (225,226,[0_1|2]), (226,227,[5_1|2]), (227,228,[4_1|2]), (228,229,[3_1|2]), (229,230,[0_1|2]), (230,231,[2_1|2]), (231,232,[4_1|2]), (232,127,[1_1|2]), (232,154,[1_1|2]), (232,172,[1_1|2]), (232,295,[1_1|2]), (232,323,[1_1|2]), (232,341,[1_1|2]), (232,361,[1_1|2]), (232,381,[1_1|2]), (232,179,[1_1|2]), (233,234,[4_1|2]), (234,235,[2_1|2]), (235,236,[4_1|2]), (236,237,[0_1|2]), (237,238,[1_1|2]), (238,239,[3_1|2]), (239,240,[2_1|2]), (240,241,[5_1|2]), (241,242,[1_1|2]), (242,243,[3_1|2]), (243,244,[4_1|2]), (244,245,[4_1|2]), (245,246,[0_1|2]), (246,247,[0_1|2]), (247,248,[1_1|2]), (248,249,[1_1|2]), (249,250,[1_1|2]), (250,251,[2_1|2]), (251,127,[0_1|2]), (251,216,[0_1|2]), (251,196,[0_1|2]), (251,303,[0_1|2]), (251,156,[0_1|2]), (251,128,[4_1|2]), (251,131,[4_1|2]), (252,253,[1_1|2]), (253,254,[3_1|2]), (254,255,[5_1|2]), (255,256,[0_1|2]), (256,127,[5_1|2]), (256,147,[5_1|2]), (256,185,[5_1|2]), (256,257,[5_1|2]), (256,150,[4_1|2]), (256,154,[1_1|2]), (256,172,[1_1|2]), (256,178,[3_1|2]), (256,195,[3_1|2]), (256,205,[3_1|2]), (256,216,[0_1|2]), (256,233,[4_1|2]), (257,258,[4_1|2]), (258,259,[1_1|2]), (259,260,[2_1|2]), (260,261,[1_1|2]), (261,262,[2_1|2]), (262,263,[1_1|2]), (263,264,[0_1|2]), (264,265,[2_1|2]), (265,266,[0_1|2]), (266,267,[4_1|2]), (267,268,[3_1|2]), (268,269,[1_1|2]), (269,270,[0_1|2]), (270,271,[0_1|2]), (271,127,[2_1|2]), (271,128,[2_1|2]), (271,131,[2_1|2]), (271,150,[2_1|2]), (271,233,[2_1|2]), (271,368,[2_1|2]), (271,129,[2_1|2]), (271,234,[2_1|2]), (271,252,[2_1|2]), (271,257,[5_1|2]), (272,273,[5_1|2]), (273,274,[2_1|2]), (274,275,[4_1|2]), (275,276,[5_1|2]), (276,277,[0_1|2]), (277,278,[5_1|2]), (277,195,[3_1|2]), (277,205,[3_1|2]), (278,127,[2_1|2]), (278,147,[2_1|2]), (278,185,[2_1|2]), (278,257,[2_1|2, 5_1|2]), (278,304,[2_1|2]), (278,252,[2_1|2]), (279,280,[2_1|2]), (280,281,[2_1|2]), (281,282,[3_1|2]), (282,283,[1_1|2]), (283,284,[5_1|2]), (284,285,[5_1|2]), (285,286,[5_1|2]), (286,287,[3_1|2]), (287,288,[0_1|2]), (288,289,[3_1|2]), (289,290,[1_1|2]), (290,291,[4_1|2]), (291,292,[3_1|2]), (292,293,[2_1|2]), (292,252,[2_1|2]), (293,294,[3_1|2]), (293,295,[1_1|2]), (293,302,[3_1|2]), (294,127,[1_1|2]), (294,252,[1_1|2]), (295,296,[4_1|2]), (296,297,[3_1|2]), (297,298,[1_1|2]), (298,299,[5_1|2]), (299,300,[0_1|2]), (300,301,[2_1|2]), (301,127,[2_1|2]), (301,178,[2_1|2]), (301,195,[2_1|2]), (301,205,[2_1|2]), (301,272,[2_1|2]), (301,279,[2_1|2]), (301,302,[2_1|2]), (301,315,[2_1|2]), (301,331,[2_1|2]), (301,155,[2_1|2]), (301,252,[2_1|2]), (301,257,[5_1|2]), (302,303,[0_1|2]), (303,304,[5_1|2]), (304,305,[4_1|2]), (305,306,[4_1|2]), (306,307,[4_1|2]), (307,308,[2_1|2]), (308,309,[0_1|2]), (309,310,[0_1|2]), (310,311,[1_1|2]), (311,312,[4_1|2]), (312,313,[3_1|2]), (313,314,[2_1|2]), (313,257,[5_1|2]), (314,127,[4_1|2]), (314,128,[4_1|2]), (314,131,[4_1|2]), (314,150,[4_1|2]), (314,233,[4_1|2]), (314,368,[4_1|2]), (314,381,[1_1|2]), (315,316,[5_1|2]), (316,317,[4_1|2]), (317,318,[4_1|2]), (318,319,[2_1|2]), (319,320,[2_1|2]), (320,321,[0_1|2]), (321,322,[5_1|2]), (321,172,[1_1|2]), (322,127,[1_1|2]), (322,178,[1_1|2]), (322,195,[1_1|2]), (322,205,[1_1|2]), (322,272,[1_1|2]), (322,279,[1_1|2]), (322,302,[1_1|2]), (322,315,[1_1|2]), (322,331,[1_1|2]), (323,324,[2_1|2]), (324,325,[2_1|2]), (325,326,[0_1|2]), (326,327,[0_1|2]), (327,328,[4_1|2]), (328,329,[3_1|2]), (329,330,[4_1|2]), (330,127,[4_1|2]), (330,216,[4_1|2]), (330,186,[4_1|2]), (330,368,[4_1|2]), (330,381,[1_1|2]), (331,332,[4_1|2]), (332,333,[5_1|2]), (333,334,[5_1|2]), (334,335,[3_1|2]), (335,336,[2_1|2]), (336,337,[0_1|2]), (337,338,[5_1|2]), (338,339,[1_1|2]), (339,340,[4_1|2]), (340,127,[2_1|2]), (340,252,[2_1|2]), (340,132,[2_1|2]), (340,151,[2_1|2]), (340,257,[5_1|2]), (341,342,[2_1|2]), (342,343,[4_1|2]), (343,344,[1_1|2]), (344,345,[1_1|2]), (345,346,[2_1|2]), (346,347,[5_1|2]), (347,348,[4_1|2]), (348,349,[2_1|2]), (349,350,[4_1|2]), (350,351,[0_1|2]), (351,352,[4_1|2]), (352,353,[2_1|2]), (353,354,[5_1|2]), (354,355,[1_1|2]), (355,356,[4_1|2]), (356,357,[2_1|2]), (357,358,[1_1|2]), (358,359,[3_1|2]), (358,295,[1_1|2]), (359,360,[1_1|2]), (360,127,[2_1|2]), (360,252,[2_1|2]), (360,280,[2_1|2]), (360,257,[5_1|2]), (361,362,[1_1|2]), (362,363,[2_1|2]), (363,364,[3_1|2]), (364,365,[2_1|2]), (365,366,[3_1|2]), (366,367,[4_1|2]), (367,127,[1_1|2]), (367,178,[1_1|2]), (367,195,[1_1|2]), (367,205,[1_1|2]), (367,272,[1_1|2]), (367,279,[1_1|2]), (367,302,[1_1|2]), (367,315,[1_1|2]), (367,331,[1_1|2]), (367,218,[1_1|2]), (368,369,[5_1|2]), (369,370,[0_1|2]), (370,371,[0_1|2]), (371,372,[4_1|2]), (372,373,[4_1|2]), (373,374,[5_1|2]), (374,375,[4_1|2]), (375,376,[4_1|2]), (376,377,[3_1|2]), (377,378,[4_1|2]), (378,379,[0_1|2]), (379,380,[0_1|2]), (380,127,[0_1|2]), (380,178,[0_1|2]), (380,195,[0_1|2]), (380,205,[0_1|2]), (380,272,[0_1|2]), (380,279,[0_1|2]), (380,302,[0_1|2]), (380,315,[0_1|2]), (380,331,[0_1|2]), (380,128,[4_1|2]), (380,131,[4_1|2]), (381,382,[5_1|2]), (382,383,[3_1|2]), (383,384,[5_1|2]), (384,385,[2_1|2]), (385,386,[0_1|2]), (386,387,[5_1|2]), (387,388,[4_1|2]), (388,389,[4_1|2]), (389,390,[5_1|2]), (390,391,[0_1|2]), (391,392,[1_1|2]), (392,393,[4_1|2]), (393,394,[4_1|2]), (394,395,[3_1|2]), (395,396,[1_1|2]), (396,397,[3_1|2]), (397,398,[2_1|2]), (398,399,[5_1|2]), (398,172,[1_1|2]), (399,127,[1_1|2]), (399,216,[1_1|2]), (399,217,[1_1|2])}" ---------------------------------------- (8) BOUNDS(1, n^1)