/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# AProVE Commit ID: 794c25de1cacf0d048858bcd21c9a779e1221865 marcel 20200619 unpublished dirty The Derivational Complexity (full) of the given DCpxTrs could be proven to be BOUNDS(1, n^1).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), 43 ms] (4) CpxRelTRS (5) RelTrsToTrsProof [UPPER BOUND(ID), 0 ms] (6) CpxTRS (7) CpxTrsMatchBoundsProof [FINISHED, 75 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(2(x1)))) -> 2(2(2(x1))) 0(1(1(1(x1)))) -> 3(1(0(x1))) 4(5(1(4(x1)))) -> 1(5(4(4(x1)))) 1(2(0(4(1(x1))))) -> 2(5(2(2(x1)))) 1(5(1(0(3(x1))))) -> 5(5(0(3(x1)))) 1(3(5(1(0(4(x1)))))) -> 4(0(0(0(1(4(x1)))))) 3(3(1(4(5(4(5(5(x1)))))))) -> 3(5(3(2(0(5(2(x1))))))) 4(2(5(3(1(0(0(5(2(x1))))))))) -> 4(4(1(5(3(5(3(2(x1)))))))) 2(2(1(1(0(2(0(1(2(3(x1)))))))))) -> 5(4(4(5(2(5(5(2(3(x1))))))))) 2(2(2(3(3(4(3(3(5(4(5(x1))))))))))) -> 5(5(4(2(5(3(5(3(2(0(5(x1))))))))))) 4(2(1(1(5(1(0(0(0(2(5(x1))))))))))) -> 5(5(0(3(0(1(4(5(2(5(x1)))))))))) 5(4(5(4(2(0(2(2(3(0(0(2(x1)))))))))))) -> 5(3(4(5(0(3(2(1(1(2(2(x1))))))))))) 0(2(1(1(3(1(5(0(5(2(3(1(4(x1))))))))))))) -> 3(0(1(5(1(4(4(5(0(5(1(1(4(x1))))))))))))) 1(1(2(4(2(2(2(1(1(3(4(1(2(x1))))))))))))) -> 1(5(0(3(4(1(0(5(2(2(2(3(x1)))))))))))) 1(4(0(0(2(4(0(3(3(2(0(3(1(x1))))))))))))) -> 1(5(0(5(0(2(0(5(1(0(1(2(5(5(x1)))))))))))))) 4(1(4(1(3(0(0(2(1(5(4(1(0(0(x1)))))))))))))) -> 2(3(0(2(5(4(4(3(0(4(1(2(0(x1))))))))))))) 4(2(4(4(0(0(0(4(0(3(5(0(3(3(x1)))))))))))))) -> 5(1(0(1(0(1(3(5(3(5(5(0(0(3(x1)))))))))))))) 1(2(5(3(3(0(2(2(5(3(2(3(3(3(2(1(x1)))))))))))))))) -> 1(1(0(0(4(1(2(1(0(5(0(0(3(5(0(4(1(x1))))))))))))))))) 3(1(2(5(0(3(4(3(1(5(4(1(5(2(0(5(x1)))))))))))))))) -> 3(1(0(4(2(0(5(2(4(4(2(2(1(1(1(5(x1)))))))))))))))) 1(3(4(5(1(0(0(3(1(2(4(2(3(5(2(0(4(1(x1)))))))))))))))))) -> 1(3(0(0(4(2(2(5(3(1(0(1(2(1(5(0(1(4(1(x1))))))))))))))))))) 1(0(3(3(2(5(0(0(3(0(3(2(4(1(4(0(2(4(2(x1))))))))))))))))))) -> 4(3(4(2(1(4(2(4(3(3(2(2(2(1(1(1(5(3(2(x1))))))))))))))))))) 5(3(2(1(0(1(3(1(3(3(0(0(3(2(5(3(0(3(0(x1))))))))))))))))))) -> 5(1(0(3(2(4(0(0(3(2(1(5(1(3(0(5(1(3(1(x1))))))))))))))))))) 0(2(2(3(3(5(0(0(5(0(3(1(3(0(1(2(1(5(5(1(x1)))))))))))))))))))) -> 0(0(3(2(5(2(5(2(3(2(1(2(5(4(3(4(5(0(4(x1))))))))))))))))))) 1(0(4(2(3(3(5(4(3(5(0(2(0(4(5(0(2(0(2(4(x1)))))))))))))))))))) -> 4(5(4(5(4(1(1(2(5(0(4(3(1(5(4(3(1(5(4(0(4(x1))))))))))))))))))))) 1(4(2(3(1(3(4(2(4(1(5(1(4(0(4(5(2(0(0(3(4(x1))))))))))))))))))))) -> 4(3(4(1(3(5(1(1(4(3(1(5(1(3(1(2(4(2(1(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_1(x_1)) -> 1(encArg(x_1)) encArg(cons_3(x_1)) -> 3(encArg(x_1)) encArg(cons_2(x_1)) -> 2(encArg(x_1)) encArg(cons_5(x_1)) -> 5(encArg(x_1)) encode_0(x_1) -> 0(encArg(x_1)) encode_1(x_1) -> 1(encArg(x_1)) encode_2(x_1) -> 2(encArg(x_1)) encode_3(x_1) -> 3(encArg(x_1)) encode_4(x_1) -> 4(encArg(x_1)) encode_5(x_1) -> 5(encArg(x_1)) ---------------------------------------- (2) Obligation: The Runtime Complexity (full) of the given CpxRelTRS could be proven to be BOUNDS(1, n^1). The TRS R consists of the following rules: 0(1(0(2(x1)))) -> 2(2(2(x1))) 0(1(1(1(x1)))) -> 3(1(0(x1))) 4(5(1(4(x1)))) -> 1(5(4(4(x1)))) 1(2(0(4(1(x1))))) -> 2(5(2(2(x1)))) 1(5(1(0(3(x1))))) -> 5(5(0(3(x1)))) 1(3(5(1(0(4(x1)))))) -> 4(0(0(0(1(4(x1)))))) 3(3(1(4(5(4(5(5(x1)))))))) -> 3(5(3(2(0(5(2(x1))))))) 4(2(5(3(1(0(0(5(2(x1))))))))) -> 4(4(1(5(3(5(3(2(x1)))))))) 2(2(1(1(0(2(0(1(2(3(x1)))))))))) -> 5(4(4(5(2(5(5(2(3(x1))))))))) 2(2(2(3(3(4(3(3(5(4(5(x1))))))))))) -> 5(5(4(2(5(3(5(3(2(0(5(x1))))))))))) 4(2(1(1(5(1(0(0(0(2(5(x1))))))))))) -> 5(5(0(3(0(1(4(5(2(5(x1)))))))))) 5(4(5(4(2(0(2(2(3(0(0(2(x1)))))))))))) -> 5(3(4(5(0(3(2(1(1(2(2(x1))))))))))) 0(2(1(1(3(1(5(0(5(2(3(1(4(x1))))))))))))) -> 3(0(1(5(1(4(4(5(0(5(1(1(4(x1))))))))))))) 1(1(2(4(2(2(2(1(1(3(4(1(2(x1))))))))))))) -> 1(5(0(3(4(1(0(5(2(2(2(3(x1)))))))))))) 1(4(0(0(2(4(0(3(3(2(0(3(1(x1))))))))))))) -> 1(5(0(5(0(2(0(5(1(0(1(2(5(5(x1)))))))))))))) 4(1(4(1(3(0(0(2(1(5(4(1(0(0(x1)))))))))))))) -> 2(3(0(2(5(4(4(3(0(4(1(2(0(x1))))))))))))) 4(2(4(4(0(0(0(4(0(3(5(0(3(3(x1)))))))))))))) -> 5(1(0(1(0(1(3(5(3(5(5(0(0(3(x1)))))))))))))) 1(2(5(3(3(0(2(2(5(3(2(3(3(3(2(1(x1)))))))))))))))) -> 1(1(0(0(4(1(2(1(0(5(0(0(3(5(0(4(1(x1))))))))))))))))) 3(1(2(5(0(3(4(3(1(5(4(1(5(2(0(5(x1)))))))))))))))) -> 3(1(0(4(2(0(5(2(4(4(2(2(1(1(1(5(x1)))))))))))))))) 1(3(4(5(1(0(0(3(1(2(4(2(3(5(2(0(4(1(x1)))))))))))))))))) -> 1(3(0(0(4(2(2(5(3(1(0(1(2(1(5(0(1(4(1(x1))))))))))))))))))) 1(0(3(3(2(5(0(0(3(0(3(2(4(1(4(0(2(4(2(x1))))))))))))))))))) -> 4(3(4(2(1(4(2(4(3(3(2(2(2(1(1(1(5(3(2(x1))))))))))))))))))) 5(3(2(1(0(1(3(1(3(3(0(0(3(2(5(3(0(3(0(x1))))))))))))))))))) -> 5(1(0(3(2(4(0(0(3(2(1(5(1(3(0(5(1(3(1(x1))))))))))))))))))) 0(2(2(3(3(5(0(0(5(0(3(1(3(0(1(2(1(5(5(1(x1)))))))))))))))))))) -> 0(0(3(2(5(2(5(2(3(2(1(2(5(4(3(4(5(0(4(x1))))))))))))))))))) 1(0(4(2(3(3(5(4(3(5(0(2(0(4(5(0(2(0(2(4(x1)))))))))))))))))))) -> 4(5(4(5(4(1(1(2(5(0(4(3(1(5(4(3(1(5(4(0(4(x1))))))))))))))))))))) 1(4(2(3(1(3(4(2(4(1(5(1(4(0(4(5(2(0(0(3(4(x1))))))))))))))))))))) -> 4(3(4(1(3(5(1(1(4(3(1(5(1(3(1(2(4(2(1(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_1(x_1)) -> 1(encArg(x_1)) encArg(cons_3(x_1)) -> 3(encArg(x_1)) encArg(cons_2(x_1)) -> 2(encArg(x_1)) encArg(cons_5(x_1)) -> 5(encArg(x_1)) encode_0(x_1) -> 0(encArg(x_1)) encode_1(x_1) -> 1(encArg(x_1)) encode_2(x_1) -> 2(encArg(x_1)) encode_3(x_1) -> 3(encArg(x_1)) encode_4(x_1) -> 4(encArg(x_1)) encode_5(x_1) -> 5(encArg(x_1)) Rewrite Strategy: FULL ---------------------------------------- (3) SInnermostTerminationProof (BOTH CONCRETE BOUNDS(ID, ID)) proved innermost termination of relative rules ---------------------------------------- (4) Obligation: The Runtime Complexity (full) of the given CpxRelTRS could be proven to be BOUNDS(1, n^1). The TRS R consists of the following rules: 0(1(0(2(x1)))) -> 2(2(2(x1))) 0(1(1(1(x1)))) -> 3(1(0(x1))) 4(5(1(4(x1)))) -> 1(5(4(4(x1)))) 1(2(0(4(1(x1))))) -> 2(5(2(2(x1)))) 1(5(1(0(3(x1))))) -> 5(5(0(3(x1)))) 1(3(5(1(0(4(x1)))))) -> 4(0(0(0(1(4(x1)))))) 3(3(1(4(5(4(5(5(x1)))))))) -> 3(5(3(2(0(5(2(x1))))))) 4(2(5(3(1(0(0(5(2(x1))))))))) -> 4(4(1(5(3(5(3(2(x1)))))))) 2(2(1(1(0(2(0(1(2(3(x1)))))))))) -> 5(4(4(5(2(5(5(2(3(x1))))))))) 2(2(2(3(3(4(3(3(5(4(5(x1))))))))))) -> 5(5(4(2(5(3(5(3(2(0(5(x1))))))))))) 4(2(1(1(5(1(0(0(0(2(5(x1))))))))))) -> 5(5(0(3(0(1(4(5(2(5(x1)))))))))) 5(4(5(4(2(0(2(2(3(0(0(2(x1)))))))))))) -> 5(3(4(5(0(3(2(1(1(2(2(x1))))))))))) 0(2(1(1(3(1(5(0(5(2(3(1(4(x1))))))))))))) -> 3(0(1(5(1(4(4(5(0(5(1(1(4(x1))))))))))))) 1(1(2(4(2(2(2(1(1(3(4(1(2(x1))))))))))))) -> 1(5(0(3(4(1(0(5(2(2(2(3(x1)))))))))))) 1(4(0(0(2(4(0(3(3(2(0(3(1(x1))))))))))))) -> 1(5(0(5(0(2(0(5(1(0(1(2(5(5(x1)))))))))))))) 4(1(4(1(3(0(0(2(1(5(4(1(0(0(x1)))))))))))))) -> 2(3(0(2(5(4(4(3(0(4(1(2(0(x1))))))))))))) 4(2(4(4(0(0(0(4(0(3(5(0(3(3(x1)))))))))))))) -> 5(1(0(1(0(1(3(5(3(5(5(0(0(3(x1)))))))))))))) 1(2(5(3(3(0(2(2(5(3(2(3(3(3(2(1(x1)))))))))))))))) -> 1(1(0(0(4(1(2(1(0(5(0(0(3(5(0(4(1(x1))))))))))))))))) 3(1(2(5(0(3(4(3(1(5(4(1(5(2(0(5(x1)))))))))))))))) -> 3(1(0(4(2(0(5(2(4(4(2(2(1(1(1(5(x1)))))))))))))))) 1(3(4(5(1(0(0(3(1(2(4(2(3(5(2(0(4(1(x1)))))))))))))))))) -> 1(3(0(0(4(2(2(5(3(1(0(1(2(1(5(0(1(4(1(x1))))))))))))))))))) 1(0(3(3(2(5(0(0(3(0(3(2(4(1(4(0(2(4(2(x1))))))))))))))))))) -> 4(3(4(2(1(4(2(4(3(3(2(2(2(1(1(1(5(3(2(x1))))))))))))))))))) 5(3(2(1(0(1(3(1(3(3(0(0(3(2(5(3(0(3(0(x1))))))))))))))))))) -> 5(1(0(3(2(4(0(0(3(2(1(5(1(3(0(5(1(3(1(x1))))))))))))))))))) 0(2(2(3(3(5(0(0(5(0(3(1(3(0(1(2(1(5(5(1(x1)))))))))))))))))))) -> 0(0(3(2(5(2(5(2(3(2(1(2(5(4(3(4(5(0(4(x1))))))))))))))))))) 1(0(4(2(3(3(5(4(3(5(0(2(0(4(5(0(2(0(2(4(x1)))))))))))))))))))) -> 4(5(4(5(4(1(1(2(5(0(4(3(1(5(4(3(1(5(4(0(4(x1))))))))))))))))))))) 1(4(2(3(1(3(4(2(4(1(5(1(4(0(4(5(2(0(0(3(4(x1))))))))))))))))))))) -> 4(3(4(1(3(5(1(1(4(3(1(5(1(3(1(2(4(2(1(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_1(x_1)) -> 1(encArg(x_1)) encArg(cons_3(x_1)) -> 3(encArg(x_1)) encArg(cons_2(x_1)) -> 2(encArg(x_1)) encArg(cons_5(x_1)) -> 5(encArg(x_1)) encode_0(x_1) -> 0(encArg(x_1)) encode_1(x_1) -> 1(encArg(x_1)) encode_2(x_1) -> 2(encArg(x_1)) encode_3(x_1) -> 3(encArg(x_1)) encode_4(x_1) -> 4(encArg(x_1)) encode_5(x_1) -> 5(encArg(x_1)) Rewrite Strategy: FULL ---------------------------------------- (5) RelTrsToTrsProof (UPPER BOUND(ID)) transformed relative TRS to TRS ---------------------------------------- (6) Obligation: The Runtime Complexity (full) of the given CpxTRS could be proven to be BOUNDS(1, n^1). The TRS R consists of the following rules: 0(1(0(2(x1)))) -> 2(2(2(x1))) 0(1(1(1(x1)))) -> 3(1(0(x1))) 4(5(1(4(x1)))) -> 1(5(4(4(x1)))) 1(2(0(4(1(x1))))) -> 2(5(2(2(x1)))) 1(5(1(0(3(x1))))) -> 5(5(0(3(x1)))) 1(3(5(1(0(4(x1)))))) -> 4(0(0(0(1(4(x1)))))) 3(3(1(4(5(4(5(5(x1)))))))) -> 3(5(3(2(0(5(2(x1))))))) 4(2(5(3(1(0(0(5(2(x1))))))))) -> 4(4(1(5(3(5(3(2(x1)))))))) 2(2(1(1(0(2(0(1(2(3(x1)))))))))) -> 5(4(4(5(2(5(5(2(3(x1))))))))) 2(2(2(3(3(4(3(3(5(4(5(x1))))))))))) -> 5(5(4(2(5(3(5(3(2(0(5(x1))))))))))) 4(2(1(1(5(1(0(0(0(2(5(x1))))))))))) -> 5(5(0(3(0(1(4(5(2(5(x1)))))))))) 5(4(5(4(2(0(2(2(3(0(0(2(x1)))))))))))) -> 5(3(4(5(0(3(2(1(1(2(2(x1))))))))))) 0(2(1(1(3(1(5(0(5(2(3(1(4(x1))))))))))))) -> 3(0(1(5(1(4(4(5(0(5(1(1(4(x1))))))))))))) 1(1(2(4(2(2(2(1(1(3(4(1(2(x1))))))))))))) -> 1(5(0(3(4(1(0(5(2(2(2(3(x1)))))))))))) 1(4(0(0(2(4(0(3(3(2(0(3(1(x1))))))))))))) -> 1(5(0(5(0(2(0(5(1(0(1(2(5(5(x1)))))))))))))) 4(1(4(1(3(0(0(2(1(5(4(1(0(0(x1)))))))))))))) -> 2(3(0(2(5(4(4(3(0(4(1(2(0(x1))))))))))))) 4(2(4(4(0(0(0(4(0(3(5(0(3(3(x1)))))))))))))) -> 5(1(0(1(0(1(3(5(3(5(5(0(0(3(x1)))))))))))))) 1(2(5(3(3(0(2(2(5(3(2(3(3(3(2(1(x1)))))))))))))))) -> 1(1(0(0(4(1(2(1(0(5(0(0(3(5(0(4(1(x1))))))))))))))))) 3(1(2(5(0(3(4(3(1(5(4(1(5(2(0(5(x1)))))))))))))))) -> 3(1(0(4(2(0(5(2(4(4(2(2(1(1(1(5(x1)))))))))))))))) 1(3(4(5(1(0(0(3(1(2(4(2(3(5(2(0(4(1(x1)))))))))))))))))) -> 1(3(0(0(4(2(2(5(3(1(0(1(2(1(5(0(1(4(1(x1))))))))))))))))))) 1(0(3(3(2(5(0(0(3(0(3(2(4(1(4(0(2(4(2(x1))))))))))))))))))) -> 4(3(4(2(1(4(2(4(3(3(2(2(2(1(1(1(5(3(2(x1))))))))))))))))))) 5(3(2(1(0(1(3(1(3(3(0(0(3(2(5(3(0(3(0(x1))))))))))))))))))) -> 5(1(0(3(2(4(0(0(3(2(1(5(1(3(0(5(1(3(1(x1))))))))))))))))))) 0(2(2(3(3(5(0(0(5(0(3(1(3(0(1(2(1(5(5(1(x1)))))))))))))))))))) -> 0(0(3(2(5(2(5(2(3(2(1(2(5(4(3(4(5(0(4(x1))))))))))))))))))) 1(0(4(2(3(3(5(4(3(5(0(2(0(4(5(0(2(0(2(4(x1)))))))))))))))))))) -> 4(5(4(5(4(1(1(2(5(0(4(3(1(5(4(3(1(5(4(0(4(x1))))))))))))))))))))) 1(4(2(3(1(3(4(2(4(1(5(1(4(0(4(5(2(0(0(3(4(x1))))))))))))))))))))) -> 4(3(4(1(3(5(1(1(4(3(1(5(1(3(1(2(4(2(1(3(x1)))))))))))))))))))) 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_3(x_1)) -> 3(encArg(x_1)) encArg(cons_2(x_1)) -> 2(encArg(x_1)) encArg(cons_5(x_1)) -> 5(encArg(x_1)) encode_0(x_1) -> 0(encArg(x_1)) encode_1(x_1) -> 1(encArg(x_1)) encode_2(x_1) -> 2(encArg(x_1)) encode_3(x_1) -> 3(encArg(x_1)) encode_4(x_1) -> 4(encArg(x_1)) encode_5(x_1) -> 5(encArg(x_1)) S is empty. Rewrite Strategy: FULL ---------------------------------------- (7) CpxTrsMatchBoundsProof (FINISHED) A linear upper bound on the runtime complexity of the TRS R could be shown with a Match Bound [MATCHBOUNDS1,MATCHBOUNDS2] of 3. The certificate found is represented by the following graph. "[148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 254, 255, 256, 257, 258, 259, 260, 261, 262, 263, 264, 265, 266, 267, 268, 269, 270, 271, 272, 273, 274, 275, 276, 277, 278, 279, 280, 281, 282, 283, 284, 285, 286, 287, 288, 289, 290, 291, 292, 293, 294, 295, 296, 297, 298, 299, 300, 301, 302, 303, 304, 305, 306, 307, 308, 309, 310, 311, 312, 313, 314, 315, 316, 317, 318, 319, 320, 321, 322, 323, 324, 325, 326, 327, 328, 329, 330, 331, 332, 333, 334, 335, 336, 337, 338, 339, 340, 341, 342, 343, 344, 345, 346, 347, 348, 349, 350, 351, 352, 353, 354, 355, 356, 357, 358, 359, 360, 361, 362, 363, 364, 365, 366, 367, 368, 369, 370, 371, 372, 373, 374, 375, 376, 377, 378, 379, 380, 381, 382, 383, 384, 385, 386, 387, 388, 389, 390, 391, 392, 393, 394, 395, 396, 397, 398, 399, 400, 401, 402, 403, 404, 405, 406, 407, 408, 409, 410, 411, 412, 413, 414, 415, 416, 417, 418, 419, 420, 421, 422, 423, 424] {(148,149,[0_1|0, 4_1|0, 1_1|0, 3_1|0, 2_1|0, 5_1|0, encArg_1|0, encode_0_1|0, encode_1_1|0, encode_2_1|0, encode_3_1|0, encode_4_1|0, encode_5_1|0]), (148,150,[0_1|1, 4_1|1, 1_1|1, 3_1|1, 2_1|1, 5_1|1]), (148,151,[2_1|2]), (148,153,[3_1|2]), (148,155,[3_1|2]), (148,167,[0_1|2]), (148,185,[1_1|2]), (148,188,[4_1|2]), (148,195,[5_1|2]), (148,204,[5_1|2]), (148,217,[2_1|2]), (148,229,[2_1|2]), (148,232,[1_1|2]), (148,248,[5_1|2]), (148,251,[4_1|2]), (148,256,[1_1|2]), (148,274,[1_1|2]), (148,285,[1_1|2]), (148,298,[4_1|2]), (148,317,[4_1|2]), (148,335,[4_1|2]), (148,355,[3_1|2]), (148,361,[3_1|2]), (148,376,[5_1|2]), (148,384,[5_1|2]), (148,394,[5_1|2]), (148,404,[5_1|2]), (149,149,[cons_0_1|0, cons_4_1|0, cons_1_1|0, cons_3_1|0, cons_2_1|0, cons_5_1|0]), (150,149,[encArg_1|1]), (150,150,[0_1|1, 4_1|1, 1_1|1, 3_1|1, 2_1|1, 5_1|1]), (150,151,[2_1|2]), (150,153,[3_1|2]), (150,155,[3_1|2]), (150,167,[0_1|2]), (150,185,[1_1|2]), (150,188,[4_1|2]), (150,195,[5_1|2]), (150,204,[5_1|2]), (150,217,[2_1|2]), (150,229,[2_1|2]), (150,232,[1_1|2]), (150,248,[5_1|2]), (150,251,[4_1|2]), (150,256,[1_1|2]), (150,274,[1_1|2]), (150,285,[1_1|2]), (150,298,[4_1|2]), (150,317,[4_1|2]), (150,335,[4_1|2]), (150,355,[3_1|2]), (150,361,[3_1|2]), (150,376,[5_1|2]), (150,384,[5_1|2]), (150,394,[5_1|2]), (150,404,[5_1|2]), (151,152,[2_1|2]), (151,376,[5_1|2]), (151,384,[5_1|2]), (152,150,[2_1|2]), (152,151,[2_1|2]), (152,217,[2_1|2]), (152,229,[2_1|2]), (152,376,[5_1|2]), (152,384,[5_1|2]), (153,154,[1_1|2]), (153,317,[4_1|2]), (153,335,[4_1|2]), (154,150,[0_1|2]), (154,185,[0_1|2]), (154,232,[0_1|2]), (154,256,[0_1|2]), (154,274,[0_1|2]), (154,285,[0_1|2]), (154,233,[0_1|2]), (154,151,[2_1|2]), (154,153,[3_1|2]), (154,155,[3_1|2]), (154,167,[0_1|2]), (154,384,[5_1|2]), (155,156,[0_1|2]), (156,157,[1_1|2]), (157,158,[5_1|2]), (158,159,[1_1|2]), (159,160,[4_1|2]), (160,161,[4_1|2]), (161,162,[5_1|2]), (162,163,[0_1|2]), (163,164,[5_1|2]), (164,165,[1_1|2]), (165,166,[1_1|2]), (165,285,[1_1|2]), (165,298,[4_1|2]), (166,150,[4_1|2]), (166,188,[4_1|2]), (166,251,[4_1|2]), (166,298,[4_1|2]), (166,317,[4_1|2]), (166,335,[4_1|2]), (166,185,[1_1|2]), (166,195,[5_1|2]), (166,204,[5_1|2]), (166,217,[2_1|2]), (167,168,[0_1|2]), (168,169,[3_1|2]), (169,170,[2_1|2]), (170,171,[5_1|2]), (171,172,[2_1|2]), (172,173,[5_1|2]), (173,174,[2_1|2]), (174,175,[3_1|2]), (175,176,[2_1|2]), (176,177,[1_1|2]), (177,178,[2_1|2]), (178,179,[5_1|2]), (179,180,[4_1|2]), (180,181,[3_1|2]), (181,182,[4_1|2]), (182,183,[5_1|2]), (183,184,[0_1|2]), (184,150,[4_1|2]), (184,185,[4_1|2, 1_1|2]), (184,232,[4_1|2]), (184,256,[4_1|2]), (184,274,[4_1|2]), (184,285,[4_1|2]), (184,205,[4_1|2]), (184,405,[4_1|2]), (184,188,[4_1|2]), (184,195,[5_1|2]), (184,204,[5_1|2]), (184,217,[2_1|2]), (185,186,[5_1|2]), (186,187,[4_1|2]), (187,150,[4_1|2]), (187,188,[4_1|2]), (187,251,[4_1|2]), (187,298,[4_1|2]), (187,317,[4_1|2]), (187,335,[4_1|2]), (187,185,[1_1|2]), (187,195,[5_1|2]), (187,204,[5_1|2]), (187,217,[2_1|2]), (188,189,[4_1|2]), (189,190,[1_1|2]), (190,191,[5_1|2]), (191,192,[3_1|2]), (192,193,[5_1|2]), (192,404,[5_1|2]), (193,194,[3_1|2]), (194,150,[2_1|2]), (194,151,[2_1|2]), (194,217,[2_1|2]), (194,229,[2_1|2]), (194,376,[5_1|2]), (194,384,[5_1|2]), (195,196,[5_1|2]), (196,197,[0_1|2]), (197,198,[3_1|2]), (198,199,[0_1|2]), (199,200,[1_1|2]), (200,201,[4_1|2]), (201,202,[5_1|2]), (202,203,[2_1|2]), (203,150,[5_1|2]), (203,195,[5_1|2]), (203,204,[5_1|2]), (203,248,[5_1|2]), (203,376,[5_1|2]), (203,384,[5_1|2]), (203,394,[5_1|2]), (203,404,[5_1|2]), (203,230,[5_1|2]), (204,205,[1_1|2]), (205,206,[0_1|2]), (206,207,[1_1|2]), (207,208,[0_1|2]), (208,209,[1_1|2]), (209,210,[3_1|2]), (210,211,[5_1|2]), (211,212,[3_1|2]), (212,213,[5_1|2]), (213,214,[5_1|2]), (214,215,[0_1|2]), (215,216,[0_1|2]), (216,150,[3_1|2]), (216,153,[3_1|2]), (216,155,[3_1|2]), (216,355,[3_1|2]), (216,361,[3_1|2]), (217,218,[3_1|2]), (218,219,[0_1|2]), (219,220,[2_1|2]), (220,221,[5_1|2]), (221,222,[4_1|2]), (222,223,[4_1|2]), (223,224,[3_1|2]), (224,225,[0_1|2]), (225,226,[4_1|2]), (226,227,[1_1|2]), (226,229,[2_1|2]), (227,228,[2_1|2]), (228,150,[0_1|2]), (228,167,[0_1|2]), (228,168,[0_1|2]), (228,151,[2_1|2]), (228,153,[3_1|2]), (228,155,[3_1|2]), (228,384,[5_1|2]), (229,230,[5_1|2]), (230,231,[2_1|2]), (230,376,[5_1|2]), (230,384,[5_1|2]), (231,150,[2_1|2]), (231,185,[2_1|2]), (231,232,[2_1|2]), (231,256,[2_1|2]), (231,274,[2_1|2]), (231,285,[2_1|2]), (231,376,[5_1|2]), (231,384,[5_1|2]), (232,233,[1_1|2]), (233,234,[0_1|2]), (234,235,[0_1|2]), (235,236,[4_1|2]), (236,237,[1_1|2]), (237,238,[2_1|2]), (238,239,[1_1|2]), (239,240,[0_1|2]), (240,241,[5_1|2]), (241,242,[0_1|2]), (242,243,[0_1|2]), (243,244,[3_1|2]), (244,245,[5_1|2]), (245,246,[0_1|2]), (246,247,[4_1|2]), (246,217,[2_1|2]), (247,150,[1_1|2]), (247,185,[1_1|2]), (247,232,[1_1|2]), (247,256,[1_1|2]), (247,274,[1_1|2]), (247,285,[1_1|2]), (247,229,[2_1|2]), (247,248,[5_1|2]), (247,251,[4_1|2]), (247,298,[4_1|2]), (247,317,[4_1|2]), (247,335,[4_1|2]), (247,422,[5_1|3]), (248,249,[5_1|2]), (249,250,[0_1|2]), (250,150,[3_1|2]), (250,153,[3_1|2]), (250,155,[3_1|2]), (250,355,[3_1|2]), (250,361,[3_1|2]), (250,407,[3_1|2]), (251,252,[0_1|2]), (252,253,[0_1|2]), (253,254,[0_1|2]), (254,255,[1_1|2]), (254,285,[1_1|2]), (254,298,[4_1|2]), (255,150,[4_1|2]), (255,188,[4_1|2]), (255,251,[4_1|2]), (255,298,[4_1|2]), (255,317,[4_1|2]), (255,335,[4_1|2]), (255,185,[1_1|2]), (255,195,[5_1|2]), (255,204,[5_1|2]), (255,217,[2_1|2]), (256,257,[3_1|2]), (257,258,[0_1|2]), (258,259,[0_1|2]), (259,260,[4_1|2]), (260,261,[2_1|2]), (261,262,[2_1|2]), (262,263,[5_1|2]), (263,264,[3_1|2]), (264,265,[1_1|2]), (265,266,[0_1|2]), (266,267,[1_1|2]), (267,268,[2_1|2]), (268,269,[1_1|2]), (269,270,[5_1|2]), (270,271,[0_1|2]), (271,272,[1_1|2]), (272,273,[4_1|2]), (272,217,[2_1|2]), (273,150,[1_1|2]), (273,185,[1_1|2]), (273,232,[1_1|2]), (273,256,[1_1|2]), (273,274,[1_1|2]), (273,285,[1_1|2]), (273,229,[2_1|2]), (273,248,[5_1|2]), (273,251,[4_1|2]), (273,298,[4_1|2]), (273,317,[4_1|2]), (273,335,[4_1|2]), (273,422,[5_1|3]), (274,275,[5_1|2]), (275,276,[0_1|2]), (276,277,[3_1|2]), (277,278,[4_1|2]), (278,279,[1_1|2]), (279,280,[0_1|2]), (280,281,[5_1|2]), (281,282,[2_1|2]), (281,384,[5_1|2]), (282,283,[2_1|2]), (283,284,[2_1|2]), (284,150,[3_1|2]), (284,151,[3_1|2]), (284,217,[3_1|2]), (284,229,[3_1|2]), (284,355,[3_1|2]), (284,361,[3_1|2]), (285,286,[5_1|2]), (286,287,[0_1|2]), (287,288,[5_1|2]), (288,289,[0_1|2]), (289,290,[2_1|2]), (290,291,[0_1|2]), (291,292,[5_1|2]), (292,293,[1_1|2]), (293,294,[0_1|2]), (294,295,[1_1|2]), (295,296,[2_1|2]), (296,297,[5_1|2]), (297,150,[5_1|2]), (297,185,[5_1|2]), (297,232,[5_1|2]), (297,256,[5_1|2]), (297,274,[5_1|2]), (297,285,[5_1|2]), (297,154,[5_1|2]), (297,362,[5_1|2]), (297,394,[5_1|2]), (297,404,[5_1|2]), (298,299,[3_1|2]), (299,300,[4_1|2]), (300,301,[1_1|2]), (301,302,[3_1|2]), (302,303,[5_1|2]), (303,304,[1_1|2]), (304,305,[1_1|2]), (305,306,[4_1|2]), (306,307,[3_1|2]), (307,308,[1_1|2]), (308,309,[5_1|2]), (309,310,[1_1|2]), (310,311,[3_1|2]), (311,312,[1_1|2]), (312,313,[2_1|2]), (313,314,[4_1|2]), (314,315,[2_1|2]), (315,316,[1_1|2]), (315,251,[4_1|2]), (315,256,[1_1|2]), (316,150,[3_1|2]), (316,188,[3_1|2]), (316,251,[3_1|2]), (316,298,[3_1|2]), (316,317,[3_1|2]), (316,335,[3_1|2]), (316,355,[3_1|2]), (316,361,[3_1|2]), (317,318,[3_1|2]), (318,319,[4_1|2]), (319,320,[2_1|2]), (320,321,[1_1|2]), (321,322,[4_1|2]), (322,323,[2_1|2]), (323,324,[4_1|2]), (324,325,[3_1|2]), (325,326,[3_1|2]), (326,327,[2_1|2]), (327,328,[2_1|2]), (328,329,[2_1|2]), (329,330,[1_1|2]), (330,331,[1_1|2]), (331,332,[1_1|2]), (331,422,[5_1|3]), (332,333,[5_1|2]), (332,404,[5_1|2]), (333,334,[3_1|2]), (334,150,[2_1|2]), (334,151,[2_1|2]), (334,217,[2_1|2]), (334,229,[2_1|2]), (334,376,[5_1|2]), (334,384,[5_1|2]), (335,336,[5_1|2]), (336,337,[4_1|2]), (337,338,[5_1|2]), (338,339,[4_1|2]), (339,340,[1_1|2]), (340,341,[1_1|2]), (341,342,[2_1|2]), (342,343,[5_1|2]), (343,344,[0_1|2]), (344,345,[4_1|2]), (345,346,[3_1|2]), (346,347,[1_1|2]), (347,348,[5_1|2]), (348,349,[4_1|2]), (349,350,[3_1|2]), (350,351,[1_1|2]), (351,352,[5_1|2]), (352,353,[4_1|2]), (353,354,[0_1|2]), (354,150,[4_1|2]), (354,188,[4_1|2]), (354,251,[4_1|2]), (354,298,[4_1|2]), (354,317,[4_1|2]), (354,335,[4_1|2]), (354,185,[1_1|2]), (354,195,[5_1|2]), (354,204,[5_1|2]), (354,217,[2_1|2]), (355,356,[5_1|2]), (356,357,[3_1|2]), (357,358,[2_1|2]), (358,359,[0_1|2]), (359,360,[5_1|2]), (360,150,[2_1|2]), (360,195,[2_1|2]), (360,204,[2_1|2]), (360,248,[2_1|2]), (360,376,[2_1|2, 5_1|2]), (360,384,[2_1|2, 5_1|2]), (360,394,[2_1|2]), (360,404,[2_1|2]), (360,196,[2_1|2]), (360,249,[2_1|2]), (360,385,[2_1|2]), (361,362,[1_1|2]), (362,363,[0_1|2]), (363,364,[4_1|2]), (364,365,[2_1|2]), (365,366,[0_1|2]), (366,367,[5_1|2]), (367,368,[2_1|2]), (368,369,[4_1|2]), (369,370,[4_1|2]), (370,371,[2_1|2]), (371,372,[2_1|2]), (372,373,[1_1|2]), (373,374,[1_1|2]), (374,375,[1_1|2]), (374,248,[5_1|2]), (374,422,[5_1|3]), (375,150,[5_1|2]), (375,195,[5_1|2]), (375,204,[5_1|2]), (375,248,[5_1|2]), (375,376,[5_1|2]), (375,384,[5_1|2]), (375,394,[5_1|2]), (375,404,[5_1|2]), (376,377,[4_1|2]), (377,378,[4_1|2]), (378,379,[5_1|2]), (379,380,[2_1|2]), (380,381,[5_1|2]), (381,382,[5_1|2]), (382,383,[2_1|2]), (383,150,[3_1|2]), (383,153,[3_1|2]), (383,155,[3_1|2]), (383,355,[3_1|2]), (383,361,[3_1|2]), (383,218,[3_1|2]), (384,385,[5_1|2]), (385,386,[4_1|2]), (386,387,[2_1|2]), (387,388,[5_1|2]), (388,389,[3_1|2]), (389,390,[5_1|2]), (390,391,[3_1|2]), (391,392,[2_1|2]), (392,393,[0_1|2]), (393,150,[5_1|2]), (393,195,[5_1|2]), (393,204,[5_1|2]), (393,248,[5_1|2]), (393,376,[5_1|2]), (393,384,[5_1|2]), (393,394,[5_1|2]), (393,404,[5_1|2]), (393,336,[5_1|2]), (394,395,[3_1|2]), (395,396,[4_1|2]), (396,397,[5_1|2]), (397,398,[0_1|2]), (398,399,[3_1|2]), (399,400,[2_1|2]), (400,401,[1_1|2]), (401,402,[1_1|2]), (402,403,[2_1|2]), (402,376,[5_1|2]), (402,384,[5_1|2]), (403,150,[2_1|2]), (403,151,[2_1|2]), (403,217,[2_1|2]), (403,229,[2_1|2]), (403,376,[5_1|2]), (403,384,[5_1|2]), (404,405,[1_1|2]), (405,406,[0_1|2]), (406,407,[3_1|2]), (407,408,[2_1|2]), (408,409,[4_1|2]), (409,410,[0_1|2]), (410,411,[0_1|2]), (411,412,[3_1|2]), (412,413,[2_1|2]), (413,414,[1_1|2]), (414,415,[5_1|2]), (415,416,[1_1|2]), (416,417,[3_1|2]), (417,418,[0_1|2]), (418,419,[5_1|2]), (419,420,[1_1|2]), (420,421,[3_1|2]), (420,361,[3_1|2]), (421,150,[1_1|2]), (421,167,[1_1|2]), (421,156,[1_1|2]), (421,229,[2_1|2]), (421,232,[1_1|2]), (421,248,[5_1|2]), (421,251,[4_1|2]), (421,256,[1_1|2]), (421,274,[1_1|2]), (421,285,[1_1|2]), (421,298,[4_1|2]), (421,317,[4_1|2]), (421,335,[4_1|2]), (421,422,[5_1|3]), (422,423,[5_1|3]), (423,424,[0_1|3]), (424,407,[3_1|3])}" ---------------------------------------- (8) BOUNDS(1, n^1)