/export/starexec/sandbox2/solver/bin/starexec_run_rcdcRelativeAlsoLower /export/starexec/sandbox2/benchmark/theBenchmark.xml /export/starexec/sandbox2/output/output_files -------------------------------------------------------------------------------- WORST_CASE(?, O(n^1)) proof of /export/starexec/sandbox2/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# AProVE Commit ID: 794c25de1cacf0d048858bcd21c9a779e1221865 marcel 20200619 unpublished dirty The Derivational Complexity (full) of the given DCpxTrs could be proven to be BOUNDS(1, n^1).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), 78 ms] (4) CpxRelTRS (5) RelTrsToTrsProof [UPPER BOUND(ID), 0 ms] (6) CpxTRS (7) CpxTrsMatchBoundsProof [FINISHED, 67 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(1(2(3(x1))))) -> 0(1(3(3(4(x1))))) 1(4(2(1(4(x1))))) -> 1(1(1(0(x1)))) 1(4(5(1(4(x1))))) -> 5(5(5(2(x1)))) 2(0(5(2(5(x1))))) -> 2(2(3(2(1(x1))))) 0(1(0(5(0(4(x1)))))) -> 0(1(5(5(1(x1))))) 1(0(5(5(1(2(4(x1))))))) -> 2(5(4(5(1(1(4(x1))))))) 4(0(2(5(4(3(5(x1))))))) -> 1(1(3(5(1(5(x1)))))) 0(4(0(0(3(1(4(1(2(x1))))))))) -> 2(5(3(2(2(1(2(2(x1)))))))) 5(4(5(4(2(5(0(1(5(4(x1)))))))))) -> 0(0(1(2(1(2(3(2(2(x1))))))))) 1(2(3(2(1(4(5(2(5(4(5(x1))))))))))) -> 2(1(2(4(2(2(3(0(2(1(x1)))))))))) 4(2(0(4(2(2(5(0(5(3(5(x1))))))))))) -> 4(5(2(5(1(2(4(5(4(3(3(5(x1)))))))))))) 2(4(0(0(0(3(3(3(3(0(0(4(x1)))))))))))) -> 2(0(0(2(0(4(4(3(1(0(2(x1))))))))))) 3(0(3(1(2(0(1(2(2(4(0(4(x1)))))))))))) -> 0(4(1(4(3(2(0(2(5(4(3(3(x1)))))))))))) 4(0(2(5(2(1(1(2(0(1(2(1(x1)))))))))))) -> 0(2(0(0(0(1(0(1(5(2(1(x1))))))))))) 4(3(4(5(2(4(4(5(4(3(4(3(x1)))))))))))) -> 2(5(3(0(2(5(2(4(4(1(3(x1))))))))))) 5(5(4(1(1(1(3(2(2(5(1(2(3(5(4(x1))))))))))))))) -> 5(5(0(3(1(2(0(2(0(2(0(4(1(2(x1)))))))))))))) 4(2(5(1(1(3(1(3(2(5(5(4(3(5(5(4(x1)))))))))))))))) -> 4(2(2(5(1(0(2(5(1(0(3(0(3(5(3(x1))))))))))))))) 1(5(5(5(3(2(0(1(3(4(0(2(5(0(0(3(4(3(x1)))))))))))))))))) -> 5(4(3(1(4(2(4(5(4(5(0(3(1(0(2(2(1(3(x1)))))))))))))))))) 3(0(3(4(3(3(5(1(0(4(5(0(0(0(2(2(1(4(x1)))))))))))))))))) -> 0(1(5(5(0(1(5(0(5(0(0(4(0(4(3(4(x1)))))))))))))))) 5(4(4(5(3(5(2(2(3(4(0(2(0(3(2(5(4(3(x1)))))))))))))))))) -> 5(4(0(5(1(1(1(1(3(2(0(0(3(5(0(1(3(x1))))))))))))))))) 1(5(4(3(4(4(3(3(4(5(4(1(5(5(0(1(4(0(2(x1))))))))))))))))))) -> 0(4(3(3(2(2(0(5(1(0(4(4(3(2(3(5(4(2(x1)))))))))))))))))) 3(2(0(3(1(4(3(1(0(5(5(1(3(4(2(1(5(4(3(x1))))))))))))))))))) -> 3(0(3(1(1(3(0(4(1(1(2(1(5(2(0(0(4(2(3(x1))))))))))))))))))) 1(1(1(3(3(0(0(1(2(2(5(1(4(4(4(5(4(3(4(1(x1)))))))))))))))))))) -> 3(4(0(2(1(0(4(1(0(3(1(4(0(3(4(2(0(5(x1)))))))))))))))))) 4(1(1(5(1(4(3(3(0(3(0(5(4(1(0(4(2(1(4(1(x1)))))))))))))))))))) -> 4(3(4(5(3(1(1(4(1(3(0(2(0(2(5(1(1(3(1(x1))))))))))))))))))) 5(4(2(4(0(4(1(4(4(2(0(1(3(4(1(3(5(4(4(4(x1)))))))))))))))))))) -> 5(4(4(2(2(1(4(4(5(1(4(5(4(5(2(2(0(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_1(x_1)) -> 1(encArg(x_1)) encArg(cons_2(x_1)) -> 2(encArg(x_1)) encArg(cons_4(x_1)) -> 4(encArg(x_1)) encArg(cons_5(x_1)) -> 5(encArg(x_1)) encArg(cons_3(x_1)) -> 3(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(1(2(3(x1))))) -> 0(1(3(3(4(x1))))) 1(4(2(1(4(x1))))) -> 1(1(1(0(x1)))) 1(4(5(1(4(x1))))) -> 5(5(5(2(x1)))) 2(0(5(2(5(x1))))) -> 2(2(3(2(1(x1))))) 0(1(0(5(0(4(x1)))))) -> 0(1(5(5(1(x1))))) 1(0(5(5(1(2(4(x1))))))) -> 2(5(4(5(1(1(4(x1))))))) 4(0(2(5(4(3(5(x1))))))) -> 1(1(3(5(1(5(x1)))))) 0(4(0(0(3(1(4(1(2(x1))))))))) -> 2(5(3(2(2(1(2(2(x1)))))))) 5(4(5(4(2(5(0(1(5(4(x1)))))))))) -> 0(0(1(2(1(2(3(2(2(x1))))))))) 1(2(3(2(1(4(5(2(5(4(5(x1))))))))))) -> 2(1(2(4(2(2(3(0(2(1(x1)))))))))) 4(2(0(4(2(2(5(0(5(3(5(x1))))))))))) -> 4(5(2(5(1(2(4(5(4(3(3(5(x1)))))))))))) 2(4(0(0(0(3(3(3(3(0(0(4(x1)))))))))))) -> 2(0(0(2(0(4(4(3(1(0(2(x1))))))))))) 3(0(3(1(2(0(1(2(2(4(0(4(x1)))))))))))) -> 0(4(1(4(3(2(0(2(5(4(3(3(x1)))))))))))) 4(0(2(5(2(1(1(2(0(1(2(1(x1)))))))))))) -> 0(2(0(0(0(1(0(1(5(2(1(x1))))))))))) 4(3(4(5(2(4(4(5(4(3(4(3(x1)))))))))))) -> 2(5(3(0(2(5(2(4(4(1(3(x1))))))))))) 5(5(4(1(1(1(3(2(2(5(1(2(3(5(4(x1))))))))))))))) -> 5(5(0(3(1(2(0(2(0(2(0(4(1(2(x1)))))))))))))) 4(2(5(1(1(3(1(3(2(5(5(4(3(5(5(4(x1)))))))))))))))) -> 4(2(2(5(1(0(2(5(1(0(3(0(3(5(3(x1))))))))))))))) 1(5(5(5(3(2(0(1(3(4(0(2(5(0(0(3(4(3(x1)))))))))))))))))) -> 5(4(3(1(4(2(4(5(4(5(0(3(1(0(2(2(1(3(x1)))))))))))))))))) 3(0(3(4(3(3(5(1(0(4(5(0(0(0(2(2(1(4(x1)))))))))))))))))) -> 0(1(5(5(0(1(5(0(5(0(0(4(0(4(3(4(x1)))))))))))))))) 5(4(4(5(3(5(2(2(3(4(0(2(0(3(2(5(4(3(x1)))))))))))))))))) -> 5(4(0(5(1(1(1(1(3(2(0(0(3(5(0(1(3(x1))))))))))))))))) 1(5(4(3(4(4(3(3(4(5(4(1(5(5(0(1(4(0(2(x1))))))))))))))))))) -> 0(4(3(3(2(2(0(5(1(0(4(4(3(2(3(5(4(2(x1)))))))))))))))))) 3(2(0(3(1(4(3(1(0(5(5(1(3(4(2(1(5(4(3(x1))))))))))))))))))) -> 3(0(3(1(1(3(0(4(1(1(2(1(5(2(0(0(4(2(3(x1))))))))))))))))))) 1(1(1(3(3(0(0(1(2(2(5(1(4(4(4(5(4(3(4(1(x1)))))))))))))))))))) -> 3(4(0(2(1(0(4(1(0(3(1(4(0(3(4(2(0(5(x1)))))))))))))))))) 4(1(1(5(1(4(3(3(0(3(0(5(4(1(0(4(2(1(4(1(x1)))))))))))))))))))) -> 4(3(4(5(3(1(1(4(1(3(0(2(0(2(5(1(1(3(1(x1))))))))))))))))))) 5(4(2(4(0(4(1(4(4(2(0(1(3(4(1(3(5(4(4(4(x1)))))))))))))))))))) -> 5(4(4(2(2(1(4(4(5(1(4(5(4(5(2(2(0(3(x1)))))))))))))))))) The (relative) TRS S consists of the following rules: encArg(cons_0(x_1)) -> 0(encArg(x_1)) encArg(cons_1(x_1)) -> 1(encArg(x_1)) encArg(cons_2(x_1)) -> 2(encArg(x_1)) encArg(cons_4(x_1)) -> 4(encArg(x_1)) encArg(cons_5(x_1)) -> 5(encArg(x_1)) encArg(cons_3(x_1)) -> 3(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(1(2(3(x1))))) -> 0(1(3(3(4(x1))))) 1(4(2(1(4(x1))))) -> 1(1(1(0(x1)))) 1(4(5(1(4(x1))))) -> 5(5(5(2(x1)))) 2(0(5(2(5(x1))))) -> 2(2(3(2(1(x1))))) 0(1(0(5(0(4(x1)))))) -> 0(1(5(5(1(x1))))) 1(0(5(5(1(2(4(x1))))))) -> 2(5(4(5(1(1(4(x1))))))) 4(0(2(5(4(3(5(x1))))))) -> 1(1(3(5(1(5(x1)))))) 0(4(0(0(3(1(4(1(2(x1))))))))) -> 2(5(3(2(2(1(2(2(x1)))))))) 5(4(5(4(2(5(0(1(5(4(x1)))))))))) -> 0(0(1(2(1(2(3(2(2(x1))))))))) 1(2(3(2(1(4(5(2(5(4(5(x1))))))))))) -> 2(1(2(4(2(2(3(0(2(1(x1)))))))))) 4(2(0(4(2(2(5(0(5(3(5(x1))))))))))) -> 4(5(2(5(1(2(4(5(4(3(3(5(x1)))))))))))) 2(4(0(0(0(3(3(3(3(0(0(4(x1)))))))))))) -> 2(0(0(2(0(4(4(3(1(0(2(x1))))))))))) 3(0(3(1(2(0(1(2(2(4(0(4(x1)))))))))))) -> 0(4(1(4(3(2(0(2(5(4(3(3(x1)))))))))))) 4(0(2(5(2(1(1(2(0(1(2(1(x1)))))))))))) -> 0(2(0(0(0(1(0(1(5(2(1(x1))))))))))) 4(3(4(5(2(4(4(5(4(3(4(3(x1)))))))))))) -> 2(5(3(0(2(5(2(4(4(1(3(x1))))))))))) 5(5(4(1(1(1(3(2(2(5(1(2(3(5(4(x1))))))))))))))) -> 5(5(0(3(1(2(0(2(0(2(0(4(1(2(x1)))))))))))))) 4(2(5(1(1(3(1(3(2(5(5(4(3(5(5(4(x1)))))))))))))))) -> 4(2(2(5(1(0(2(5(1(0(3(0(3(5(3(x1))))))))))))))) 1(5(5(5(3(2(0(1(3(4(0(2(5(0(0(3(4(3(x1)))))))))))))))))) -> 5(4(3(1(4(2(4(5(4(5(0(3(1(0(2(2(1(3(x1)))))))))))))))))) 3(0(3(4(3(3(5(1(0(4(5(0(0(0(2(2(1(4(x1)))))))))))))))))) -> 0(1(5(5(0(1(5(0(5(0(0(4(0(4(3(4(x1)))))))))))))))) 5(4(4(5(3(5(2(2(3(4(0(2(0(3(2(5(4(3(x1)))))))))))))))))) -> 5(4(0(5(1(1(1(1(3(2(0(0(3(5(0(1(3(x1))))))))))))))))) 1(5(4(3(4(4(3(3(4(5(4(1(5(5(0(1(4(0(2(x1))))))))))))))))))) -> 0(4(3(3(2(2(0(5(1(0(4(4(3(2(3(5(4(2(x1)))))))))))))))))) 3(2(0(3(1(4(3(1(0(5(5(1(3(4(2(1(5(4(3(x1))))))))))))))))))) -> 3(0(3(1(1(3(0(4(1(1(2(1(5(2(0(0(4(2(3(x1))))))))))))))))))) 1(1(1(3(3(0(0(1(2(2(5(1(4(4(4(5(4(3(4(1(x1)))))))))))))))))))) -> 3(4(0(2(1(0(4(1(0(3(1(4(0(3(4(2(0(5(x1)))))))))))))))))) 4(1(1(5(1(4(3(3(0(3(0(5(4(1(0(4(2(1(4(1(x1)))))))))))))))))))) -> 4(3(4(5(3(1(1(4(1(3(0(2(0(2(5(1(1(3(1(x1))))))))))))))))))) 5(4(2(4(0(4(1(4(4(2(0(1(3(4(1(3(5(4(4(4(x1)))))))))))))))))))) -> 5(4(4(2(2(1(4(4(5(1(4(5(4(5(2(2(0(3(x1)))))))))))))))))) The (relative) TRS S consists of the following rules: encArg(cons_0(x_1)) -> 0(encArg(x_1)) encArg(cons_1(x_1)) -> 1(encArg(x_1)) encArg(cons_2(x_1)) -> 2(encArg(x_1)) encArg(cons_4(x_1)) -> 4(encArg(x_1)) encArg(cons_5(x_1)) -> 5(encArg(x_1)) encArg(cons_3(x_1)) -> 3(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(1(2(3(x1))))) -> 0(1(3(3(4(x1))))) 1(4(2(1(4(x1))))) -> 1(1(1(0(x1)))) 1(4(5(1(4(x1))))) -> 5(5(5(2(x1)))) 2(0(5(2(5(x1))))) -> 2(2(3(2(1(x1))))) 0(1(0(5(0(4(x1)))))) -> 0(1(5(5(1(x1))))) 1(0(5(5(1(2(4(x1))))))) -> 2(5(4(5(1(1(4(x1))))))) 4(0(2(5(4(3(5(x1))))))) -> 1(1(3(5(1(5(x1)))))) 0(4(0(0(3(1(4(1(2(x1))))))))) -> 2(5(3(2(2(1(2(2(x1)))))))) 5(4(5(4(2(5(0(1(5(4(x1)))))))))) -> 0(0(1(2(1(2(3(2(2(x1))))))))) 1(2(3(2(1(4(5(2(5(4(5(x1))))))))))) -> 2(1(2(4(2(2(3(0(2(1(x1)))))))))) 4(2(0(4(2(2(5(0(5(3(5(x1))))))))))) -> 4(5(2(5(1(2(4(5(4(3(3(5(x1)))))))))))) 2(4(0(0(0(3(3(3(3(0(0(4(x1)))))))))))) -> 2(0(0(2(0(4(4(3(1(0(2(x1))))))))))) 3(0(3(1(2(0(1(2(2(4(0(4(x1)))))))))))) -> 0(4(1(4(3(2(0(2(5(4(3(3(x1)))))))))))) 4(0(2(5(2(1(1(2(0(1(2(1(x1)))))))))))) -> 0(2(0(0(0(1(0(1(5(2(1(x1))))))))))) 4(3(4(5(2(4(4(5(4(3(4(3(x1)))))))))))) -> 2(5(3(0(2(5(2(4(4(1(3(x1))))))))))) 5(5(4(1(1(1(3(2(2(5(1(2(3(5(4(x1))))))))))))))) -> 5(5(0(3(1(2(0(2(0(2(0(4(1(2(x1)))))))))))))) 4(2(5(1(1(3(1(3(2(5(5(4(3(5(5(4(x1)))))))))))))))) -> 4(2(2(5(1(0(2(5(1(0(3(0(3(5(3(x1))))))))))))))) 1(5(5(5(3(2(0(1(3(4(0(2(5(0(0(3(4(3(x1)))))))))))))))))) -> 5(4(3(1(4(2(4(5(4(5(0(3(1(0(2(2(1(3(x1)))))))))))))))))) 3(0(3(4(3(3(5(1(0(4(5(0(0(0(2(2(1(4(x1)))))))))))))))))) -> 0(1(5(5(0(1(5(0(5(0(0(4(0(4(3(4(x1)))))))))))))))) 5(4(4(5(3(5(2(2(3(4(0(2(0(3(2(5(4(3(x1)))))))))))))))))) -> 5(4(0(5(1(1(1(1(3(2(0(0(3(5(0(1(3(x1))))))))))))))))) 1(5(4(3(4(4(3(3(4(5(4(1(5(5(0(1(4(0(2(x1))))))))))))))))))) -> 0(4(3(3(2(2(0(5(1(0(4(4(3(2(3(5(4(2(x1)))))))))))))))))) 3(2(0(3(1(4(3(1(0(5(5(1(3(4(2(1(5(4(3(x1))))))))))))))))))) -> 3(0(3(1(1(3(0(4(1(1(2(1(5(2(0(0(4(2(3(x1))))))))))))))))))) 1(1(1(3(3(0(0(1(2(2(5(1(4(4(4(5(4(3(4(1(x1)))))))))))))))))))) -> 3(4(0(2(1(0(4(1(0(3(1(4(0(3(4(2(0(5(x1)))))))))))))))))) 4(1(1(5(1(4(3(3(0(3(0(5(4(1(0(4(2(1(4(1(x1)))))))))))))))))))) -> 4(3(4(5(3(1(1(4(1(3(0(2(0(2(5(1(1(3(1(x1))))))))))))))))))) 5(4(2(4(0(4(1(4(4(2(0(1(3(4(1(3(5(4(4(4(x1)))))))))))))))))))) -> 5(4(4(2(2(1(4(4(5(1(4(5(4(5(2(2(0(3(x1)))))))))))))))))) encArg(cons_0(x_1)) -> 0(encArg(x_1)) encArg(cons_1(x_1)) -> 1(encArg(x_1)) encArg(cons_2(x_1)) -> 2(encArg(x_1)) encArg(cons_4(x_1)) -> 4(encArg(x_1)) encArg(cons_5(x_1)) -> 5(encArg(x_1)) encArg(cons_3(x_1)) -> 3(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. "[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] {(150,151,[0_1|0, 1_1|0, 2_1|0, 4_1|0, 5_1|0, 3_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]), (150,152,[0_1|1, 1_1|1, 2_1|1, 4_1|1, 5_1|1, 3_1|1]), (150,153,[0_1|2]), (150,157,[0_1|2]), (150,161,[2_1|2]), (150,168,[1_1|2]), (150,171,[5_1|2]), (150,174,[2_1|2]), (150,180,[2_1|2]), (150,189,[5_1|2]), (150,206,[0_1|2]), (150,223,[3_1|2]), (150,240,[2_1|2]), (150,244,[2_1|2]), (150,254,[1_1|2]), (150,259,[0_1|2]), (150,269,[4_1|2]), (150,280,[4_1|2]), (150,294,[2_1|2]), (150,304,[4_1|2]), (150,322,[0_1|2]), (150,330,[5_1|2]), (150,346,[5_1|2]), (150,363,[5_1|2]), (150,376,[0_1|2]), (150,387,[0_1|2]), (150,402,[3_1|2]), (151,151,[cons_0_1|0, cons_1_1|0, cons_2_1|0, cons_4_1|0, cons_5_1|0, cons_3_1|0]), (152,151,[encArg_1|1]), (152,152,[0_1|1, 1_1|1, 2_1|1, 4_1|1, 5_1|1, 3_1|1]), (152,153,[0_1|2]), (152,157,[0_1|2]), (152,161,[2_1|2]), (152,168,[1_1|2]), (152,171,[5_1|2]), (152,174,[2_1|2]), (152,180,[2_1|2]), (152,189,[5_1|2]), (152,206,[0_1|2]), (152,223,[3_1|2]), (152,240,[2_1|2]), (152,244,[2_1|2]), (152,254,[1_1|2]), (152,259,[0_1|2]), (152,269,[4_1|2]), (152,280,[4_1|2]), (152,294,[2_1|2]), (152,304,[4_1|2]), (152,322,[0_1|2]), (152,330,[5_1|2]), (152,346,[5_1|2]), (152,363,[5_1|2]), (152,376,[0_1|2]), (152,387,[0_1|2]), (152,402,[3_1|2]), (153,154,[1_1|2]), (154,155,[3_1|2]), (155,156,[3_1|2]), (156,152,[4_1|2]), (156,223,[4_1|2]), (156,402,[4_1|2]), (156,254,[1_1|2]), (156,259,[0_1|2]), (156,269,[4_1|2]), (156,280,[4_1|2]), (156,294,[2_1|2]), (156,304,[4_1|2]), (157,158,[1_1|2]), (158,159,[5_1|2]), (159,160,[5_1|2]), (160,152,[1_1|2]), (160,269,[1_1|2]), (160,280,[1_1|2]), (160,304,[1_1|2]), (160,207,[1_1|2]), (160,377,[1_1|2]), (160,168,[1_1|2]), (160,171,[5_1|2]), (160,174,[2_1|2]), (160,180,[2_1|2]), (160,189,[5_1|2]), (160,206,[0_1|2]), (160,223,[3_1|2]), (161,162,[5_1|2]), (162,163,[3_1|2]), (163,164,[2_1|2]), (164,165,[2_1|2]), (165,166,[1_1|2]), (166,167,[2_1|2]), (167,152,[2_1|2]), (167,161,[2_1|2]), (167,174,[2_1|2]), (167,180,[2_1|2]), (167,240,[2_1|2]), (167,244,[2_1|2]), (167,294,[2_1|2]), (168,169,[1_1|2]), (169,170,[1_1|2]), (169,174,[2_1|2]), (170,152,[0_1|2]), (170,269,[0_1|2]), (170,280,[0_1|2]), (170,304,[0_1|2]), (170,153,[0_1|2]), (170,157,[0_1|2]), (170,161,[2_1|2]), (171,172,[5_1|2]), (172,173,[5_1|2]), (173,152,[2_1|2]), (173,269,[2_1|2]), (173,280,[2_1|2]), (173,304,[2_1|2]), (173,240,[2_1|2]), (173,244,[2_1|2]), (174,175,[5_1|2]), (175,176,[4_1|2]), (176,177,[5_1|2]), (177,178,[1_1|2]), (178,179,[1_1|2]), (178,168,[1_1|2]), (178,171,[5_1|2]), (179,152,[4_1|2]), (179,269,[4_1|2]), (179,280,[4_1|2]), (179,304,[4_1|2]), (179,254,[1_1|2]), (179,259,[0_1|2]), (179,294,[2_1|2]), (180,181,[1_1|2]), (181,182,[2_1|2]), (182,183,[4_1|2]), (183,184,[2_1|2]), (184,185,[2_1|2]), (185,186,[3_1|2]), (186,187,[0_1|2]), (187,188,[2_1|2]), (188,152,[1_1|2]), (188,171,[1_1|2, 5_1|2]), (188,189,[1_1|2, 5_1|2]), (188,330,[1_1|2]), (188,346,[1_1|2]), (188,363,[1_1|2]), (188,270,[1_1|2]), (188,177,[1_1|2]), (188,168,[1_1|2]), (188,174,[2_1|2]), (188,180,[2_1|2]), (188,206,[0_1|2]), (188,223,[3_1|2]), (189,190,[4_1|2]), (190,191,[3_1|2]), (191,192,[1_1|2]), (192,193,[4_1|2]), (193,194,[2_1|2]), (194,195,[4_1|2]), (195,196,[5_1|2]), (196,197,[4_1|2]), (197,198,[5_1|2]), (198,199,[0_1|2]), (199,200,[3_1|2]), (200,201,[1_1|2]), (201,202,[0_1|2]), (202,203,[2_1|2]), (203,204,[2_1|2]), (204,205,[1_1|2]), (205,152,[3_1|2]), (205,223,[3_1|2]), (205,402,[3_1|2]), (205,305,[3_1|2]), (205,376,[0_1|2]), (205,387,[0_1|2]), (206,207,[4_1|2]), (207,208,[3_1|2]), (208,209,[3_1|2]), (209,210,[2_1|2]), (210,211,[2_1|2]), (211,212,[0_1|2]), (212,213,[5_1|2]), (213,214,[1_1|2]), (214,215,[0_1|2]), (215,216,[4_1|2]), (216,217,[4_1|2]), (217,218,[3_1|2]), (218,219,[2_1|2]), (219,220,[3_1|2]), (220,221,[5_1|2]), (220,346,[5_1|2]), (221,222,[4_1|2]), (221,269,[4_1|2]), (221,280,[4_1|2]), (222,152,[2_1|2]), (222,161,[2_1|2]), (222,174,[2_1|2]), (222,180,[2_1|2]), (222,240,[2_1|2]), (222,244,[2_1|2]), (222,294,[2_1|2]), (222,260,[2_1|2]), (223,224,[4_1|2]), (224,225,[0_1|2]), (225,226,[2_1|2]), (226,227,[1_1|2]), (227,228,[0_1|2]), (228,229,[4_1|2]), (229,230,[1_1|2]), (230,231,[0_1|2]), (231,232,[3_1|2]), (232,233,[1_1|2]), (233,234,[4_1|2]), (234,235,[0_1|2]), (235,236,[3_1|2]), (236,237,[4_1|2]), (237,238,[2_1|2]), (237,240,[2_1|2]), (237,420,[2_1|3]), (238,239,[0_1|2]), (239,152,[5_1|2]), (239,168,[5_1|2]), (239,254,[5_1|2]), (239,322,[0_1|2]), (239,330,[5_1|2]), (239,346,[5_1|2]), (239,363,[5_1|2]), (240,241,[2_1|2]), (241,242,[3_1|2]), (242,243,[2_1|2]), (243,152,[1_1|2]), (243,171,[1_1|2, 5_1|2]), (243,189,[1_1|2, 5_1|2]), (243,330,[1_1|2]), (243,346,[1_1|2]), (243,363,[1_1|2]), (243,162,[1_1|2]), (243,175,[1_1|2]), (243,295,[1_1|2]), (243,168,[1_1|2]), (243,174,[2_1|2]), (243,180,[2_1|2]), (243,206,[0_1|2]), (243,223,[3_1|2]), (244,245,[0_1|2]), (245,246,[0_1|2]), (246,247,[2_1|2]), (247,248,[0_1|2]), (248,249,[4_1|2]), (249,250,[4_1|2]), (250,251,[3_1|2]), (251,252,[1_1|2]), (252,253,[0_1|2]), (253,152,[2_1|2]), (253,269,[2_1|2]), (253,280,[2_1|2]), (253,304,[2_1|2]), (253,207,[2_1|2]), (253,377,[2_1|2]), (253,240,[2_1|2]), (253,244,[2_1|2]), (254,255,[1_1|2]), (255,256,[3_1|2]), (256,257,[5_1|2]), (257,258,[1_1|2]), (257,189,[5_1|2]), (257,206,[0_1|2]), (258,152,[5_1|2]), (258,171,[5_1|2]), (258,189,[5_1|2]), (258,330,[5_1|2]), (258,346,[5_1|2]), (258,363,[5_1|2]), (258,322,[0_1|2]), (259,260,[2_1|2]), (260,261,[0_1|2]), (261,262,[0_1|2]), (262,263,[0_1|2]), (263,264,[1_1|2]), (264,265,[0_1|2]), (265,266,[1_1|2]), (266,267,[5_1|2]), (267,268,[2_1|2]), (268,152,[1_1|2]), (268,168,[1_1|2]), (268,254,[1_1|2]), (268,181,[1_1|2]), (268,171,[5_1|2]), (268,174,[2_1|2]), (268,180,[2_1|2]), (268,189,[5_1|2]), (268,206,[0_1|2]), (268,223,[3_1|2]), (269,270,[5_1|2]), (270,271,[2_1|2]), (271,272,[5_1|2]), (272,273,[1_1|2]), (273,274,[2_1|2]), (274,275,[4_1|2]), (275,276,[5_1|2]), (276,277,[4_1|2]), (277,278,[3_1|2]), (278,279,[3_1|2]), (279,152,[5_1|2]), (279,171,[5_1|2]), (279,189,[5_1|2]), (279,330,[5_1|2]), (279,346,[5_1|2]), (279,363,[5_1|2]), (279,322,[0_1|2]), (280,281,[2_1|2]), (281,282,[2_1|2]), (282,283,[5_1|2]), (283,284,[1_1|2]), (284,285,[0_1|2]), (285,286,[2_1|2]), (286,287,[5_1|2]), (287,288,[1_1|2]), (288,289,[0_1|2]), (289,290,[3_1|2]), (290,291,[0_1|2]), (291,292,[3_1|2]), (292,293,[5_1|2]), (293,152,[3_1|2]), (293,269,[3_1|2]), (293,280,[3_1|2]), (293,304,[3_1|2]), (293,190,[3_1|2]), (293,331,[3_1|2]), (293,347,[3_1|2]), (293,376,[0_1|2]), (293,387,[0_1|2]), (293,402,[3_1|2]), (294,295,[5_1|2]), (295,296,[3_1|2]), (296,297,[0_1|2]), (297,298,[2_1|2]), (298,299,[5_1|2]), (299,300,[2_1|2]), (300,301,[4_1|2]), (301,302,[4_1|2]), (302,303,[1_1|2]), (303,152,[3_1|2]), (303,223,[3_1|2]), (303,402,[3_1|2]), (303,305,[3_1|2]), (303,376,[0_1|2]), (303,387,[0_1|2]), (304,305,[3_1|2]), (305,306,[4_1|2]), (306,307,[5_1|2]), (307,308,[3_1|2]), (308,309,[1_1|2]), (309,310,[1_1|2]), (310,311,[4_1|2]), (311,312,[1_1|2]), (312,313,[3_1|2]), (313,314,[0_1|2]), (314,315,[2_1|2]), (315,316,[0_1|2]), (316,317,[2_1|2]), (317,318,[5_1|2]), (318,319,[1_1|2]), (319,320,[1_1|2]), (320,321,[3_1|2]), (321,152,[1_1|2]), (321,168,[1_1|2]), (321,254,[1_1|2]), (321,171,[5_1|2]), (321,174,[2_1|2]), (321,180,[2_1|2]), (321,189,[5_1|2]), (321,206,[0_1|2]), (321,223,[3_1|2]), (322,323,[0_1|2]), (323,324,[1_1|2]), (324,325,[2_1|2]), (325,326,[1_1|2]), (326,327,[2_1|2]), (327,328,[3_1|2]), (328,329,[2_1|2]), (329,152,[2_1|2]), (329,269,[2_1|2]), (329,280,[2_1|2]), (329,304,[2_1|2]), (329,190,[2_1|2]), (329,331,[2_1|2]), (329,347,[2_1|2]), (329,240,[2_1|2]), (329,244,[2_1|2]), (330,331,[4_1|2]), (331,332,[0_1|2]), (332,333,[5_1|2]), (333,334,[1_1|2]), (334,335,[1_1|2]), (335,336,[1_1|2]), (336,337,[1_1|2]), (337,338,[3_1|2]), (338,339,[2_1|2]), (339,340,[0_1|2]), (340,341,[0_1|2]), (341,342,[3_1|2]), (342,343,[5_1|2]), (343,344,[0_1|2]), (344,345,[1_1|2]), (345,152,[3_1|2]), (345,223,[3_1|2]), (345,402,[3_1|2]), (345,305,[3_1|2]), (345,191,[3_1|2]), (345,376,[0_1|2]), (345,387,[0_1|2]), (346,347,[4_1|2]), (347,348,[4_1|2]), (348,349,[2_1|2]), (349,350,[2_1|2]), (350,351,[1_1|2]), (351,352,[4_1|2]), (352,353,[4_1|2]), (353,354,[5_1|2]), (354,355,[1_1|2]), (355,356,[4_1|2]), (356,357,[5_1|2]), (357,358,[4_1|2]), (358,359,[5_1|2]), (359,360,[2_1|2]), (360,361,[2_1|2]), (361,362,[0_1|2]), (362,152,[3_1|2]), (362,269,[3_1|2]), (362,280,[3_1|2]), (362,304,[3_1|2]), (362,376,[0_1|2]), (362,387,[0_1|2]), (362,402,[3_1|2]), (363,364,[5_1|2]), (364,365,[0_1|2]), (365,366,[3_1|2]), (366,367,[1_1|2]), (367,368,[2_1|2]), (368,369,[0_1|2]), (369,370,[2_1|2]), (370,371,[0_1|2]), (371,372,[2_1|2]), (372,373,[0_1|2]), (373,374,[4_1|2]), (374,375,[1_1|2]), (374,180,[2_1|2]), (375,152,[2_1|2]), (375,269,[2_1|2]), (375,280,[2_1|2]), (375,304,[2_1|2]), (375,190,[2_1|2]), (375,331,[2_1|2]), (375,347,[2_1|2]), (375,240,[2_1|2]), (375,244,[2_1|2]), (376,377,[4_1|2]), (377,378,[1_1|2]), (378,379,[4_1|2]), (379,380,[3_1|2]), (380,381,[2_1|2]), (381,382,[0_1|2]), (382,383,[2_1|2]), (383,384,[5_1|2]), (384,385,[4_1|2]), (385,386,[3_1|2]), (386,152,[3_1|2]), (386,269,[3_1|2]), (386,280,[3_1|2]), (386,304,[3_1|2]), (386,207,[3_1|2]), (386,377,[3_1|2]), (386,376,[0_1|2]), (386,387,[0_1|2]), (386,402,[3_1|2]), (387,388,[1_1|2]), (388,389,[5_1|2]), (389,390,[5_1|2]), (390,391,[0_1|2]), (391,392,[1_1|2]), (392,393,[5_1|2]), (393,394,[0_1|2]), (394,395,[5_1|2]), (395,396,[0_1|2]), (396,397,[0_1|2]), (397,398,[4_1|2]), (398,399,[0_1|2]), (399,400,[4_1|2]), (399,294,[2_1|2]), (400,401,[3_1|2]), (401,152,[4_1|2]), (401,269,[4_1|2]), (401,280,[4_1|2]), (401,304,[4_1|2]), (401,254,[1_1|2]), (401,259,[0_1|2]), (401,294,[2_1|2]), (402,403,[0_1|2]), (403,404,[3_1|2]), (404,405,[1_1|2]), (405,406,[1_1|2]), (406,407,[3_1|2]), (407,408,[0_1|2]), (408,409,[4_1|2]), (409,410,[1_1|2]), (410,411,[1_1|2]), (411,412,[2_1|2]), (412,413,[1_1|2]), (413,414,[5_1|2]), (414,415,[2_1|2]), (415,416,[0_1|2]), (416,417,[0_1|2]), (417,418,[4_1|2]), (418,419,[2_1|2]), (419,152,[3_1|2]), (419,223,[3_1|2]), (419,402,[3_1|2]), (419,305,[3_1|2]), (419,191,[3_1|2]), (419,376,[0_1|2]), (419,387,[0_1|2]), (420,421,[2_1|3]), (421,422,[3_1|3]), (422,423,[2_1|3]), (423,162,[1_1|3]), (423,175,[1_1|3]), (423,295,[1_1|3])}" ---------------------------------------- (8) BOUNDS(1, n^1)