/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# AProVE Commit ID: 794c25de1cacf0d048858bcd21c9a779e1221865 marcel 20200619 unpublished dirty The Derivational Complexity (full) of the given DCpxTrs could be proven to be BOUNDS(1, n^1).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), 45 ms] (4) CpxRelTRS (5) RelTrsToTrsProof [UPPER BOUND(ID), 0 ms] (6) CpxTRS (7) CpxTrsMatchBoundsProof [FINISHED, 31 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(0(1(2(1(x1))))) -> 1(0(1(1(0(x1))))) 0(3(1(2(4(x1))))) -> 0(5(1(4(x1)))) 4(3(0(1(1(x1))))) -> 5(4(5(2(x1)))) 4(3(4(2(2(x1))))) -> 0(5(0(2(x1)))) 2(1(1(4(0(2(x1)))))) -> 1(1(5(3(5(x1))))) 2(2(4(1(3(4(2(x1))))))) -> 2(3(2(4(3(5(x1)))))) 4(0(5(4(2(4(0(x1))))))) -> 0(1(2(2(2(2(0(x1))))))) 4(2(4(2(5(1(0(1(5(x1))))))))) -> 5(0(3(1(0(2(2(5(x1)))))))) 5(2(4(5(0(3(0(2(3(x1))))))))) -> 5(3(2(1(0(1(3(4(0(x1))))))))) 1(4(1(3(2(3(3(1(2(1(x1)))))))))) -> 1(5(3(2(4(5(1(3(4(x1))))))))) 4(0(4(2(3(4(5(1(1(5(1(x1))))))))))) -> 5(4(3(2(2(3(2(1(2(4(0(x1))))))))))) 4(5(2(2(5(4(4(3(4(5(4(x1))))))))))) -> 5(2(3(2(5(0(0(0(5(4(x1)))))))))) 4(3(4(4(0(3(0(3(2(3(2(1(x1)))))))))))) -> 5(5(5(5(5(0(2(2(4(4(2(0(x1)))))))))))) 5(3(4(4(3(3(5(2(5(2(1(1(4(2(x1)))))))))))))) -> 5(4(0(5(2(5(5(3(1(0(3(3(5(x1))))))))))))) 0(5(1(0(3(3(2(5(5(4(0(5(5(5(2(x1))))))))))))))) -> 1(0(1(3(4(5(3(3(3(2(2(3(3(5(2(x1))))))))))))))) 4(5(3(2(1(1(5(2(2(3(4(3(2(3(1(x1))))))))))))))) -> 0(1(3(5(0(1(3(4(0(3(5(4(3(1(x1)))))))))))))) 5(0(1(0(1(1(5(1(1(5(5(2(1(1(0(x1))))))))))))))) -> 5(1(5(1(1(1(3(0(3(3(3(3(1(0(x1)))))))))))))) 5(3(0(4(4(1(1(5(3(4(1(1(2(3(2(x1))))))))))))))) -> 5(4(1(4(0(2(1(2(2(5(3(5(3(4(4(x1))))))))))))))) 2(4(1(0(2(3(2(3(5(3(1(2(3(1(1(4(x1)))))))))))))))) -> 2(2(2(1(4(5(0(1(0(3(1(3(5(1(2(x1))))))))))))))) 0(1(1(3(2(2(0(0(0(5(0(2(4(3(3(0(1(x1))))))))))))))))) -> 5(4(1(1(0(5(2(0(2(3(3(3(0(5(0(1(x1)))))))))))))))) 2(1(1(5(3(1(3(4(3(5(3(3(2(4(3(1(4(x1))))))))))))))))) -> 1(0(1(0(0(2(1(3(2(2(0(3(0(5(2(4(x1)))))))))))))))) 2(4(3(5(0(2(5(5(1(5(0(4(4(4(1(4(3(x1))))))))))))))))) -> 2(0(5(2(2(0(5(4(1(3(2(4(1(4(1(1(0(x1))))))))))))))))) 0(4(5(4(5(0(2(3(1(2(4(5(3(5(0(4(3(3(2(x1))))))))))))))))))) -> 1(0(2(4(5(5(2(2(4(2(1(1(4(0(1(2(3(0(2(5(x1)))))))))))))))))))) 4(5(1(0(2(0(5(4(5(4(4(2(5(5(2(3(5(4(2(3(x1)))))))))))))))))))) -> 0(5(5(2(0(5(2(4(2(5(2(5(2(0(1(5(2(3(3(0(x1)))))))))))))))))))) 3(1(2(4(3(4(3(2(0(3(2(3(4(3(4(5(4(3(4(1(1(x1))))))))))))))))))))) -> 3(4(0(0(2(4(5(0(0(4(3(5(4(3(0(3(2(2(1(1(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_2(x_1)) -> 2(encArg(x_1)) encArg(cons_5(x_1)) -> 5(encArg(x_1)) encArg(cons_1(x_1)) -> 1(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(0(1(2(1(x1))))) -> 1(0(1(1(0(x1))))) 0(3(1(2(4(x1))))) -> 0(5(1(4(x1)))) 4(3(0(1(1(x1))))) -> 5(4(5(2(x1)))) 4(3(4(2(2(x1))))) -> 0(5(0(2(x1)))) 2(1(1(4(0(2(x1)))))) -> 1(1(5(3(5(x1))))) 2(2(4(1(3(4(2(x1))))))) -> 2(3(2(4(3(5(x1)))))) 4(0(5(4(2(4(0(x1))))))) -> 0(1(2(2(2(2(0(x1))))))) 4(2(4(2(5(1(0(1(5(x1))))))))) -> 5(0(3(1(0(2(2(5(x1)))))))) 5(2(4(5(0(3(0(2(3(x1))))))))) -> 5(3(2(1(0(1(3(4(0(x1))))))))) 1(4(1(3(2(3(3(1(2(1(x1)))))))))) -> 1(5(3(2(4(5(1(3(4(x1))))))))) 4(0(4(2(3(4(5(1(1(5(1(x1))))))))))) -> 5(4(3(2(2(3(2(1(2(4(0(x1))))))))))) 4(5(2(2(5(4(4(3(4(5(4(x1))))))))))) -> 5(2(3(2(5(0(0(0(5(4(x1)))))))))) 4(3(4(4(0(3(0(3(2(3(2(1(x1)))))))))))) -> 5(5(5(5(5(0(2(2(4(4(2(0(x1)))))))))))) 5(3(4(4(3(3(5(2(5(2(1(1(4(2(x1)))))))))))))) -> 5(4(0(5(2(5(5(3(1(0(3(3(5(x1))))))))))))) 0(5(1(0(3(3(2(5(5(4(0(5(5(5(2(x1))))))))))))))) -> 1(0(1(3(4(5(3(3(3(2(2(3(3(5(2(x1))))))))))))))) 4(5(3(2(1(1(5(2(2(3(4(3(2(3(1(x1))))))))))))))) -> 0(1(3(5(0(1(3(4(0(3(5(4(3(1(x1)))))))))))))) 5(0(1(0(1(1(5(1(1(5(5(2(1(1(0(x1))))))))))))))) -> 5(1(5(1(1(1(3(0(3(3(3(3(1(0(x1)))))))))))))) 5(3(0(4(4(1(1(5(3(4(1(1(2(3(2(x1))))))))))))))) -> 5(4(1(4(0(2(1(2(2(5(3(5(3(4(4(x1))))))))))))))) 2(4(1(0(2(3(2(3(5(3(1(2(3(1(1(4(x1)))))))))))))))) -> 2(2(2(1(4(5(0(1(0(3(1(3(5(1(2(x1))))))))))))))) 0(1(1(3(2(2(0(0(0(5(0(2(4(3(3(0(1(x1))))))))))))))))) -> 5(4(1(1(0(5(2(0(2(3(3(3(0(5(0(1(x1)))))))))))))))) 2(1(1(5(3(1(3(4(3(5(3(3(2(4(3(1(4(x1))))))))))))))))) -> 1(0(1(0(0(2(1(3(2(2(0(3(0(5(2(4(x1)))))))))))))))) 2(4(3(5(0(2(5(5(1(5(0(4(4(4(1(4(3(x1))))))))))))))))) -> 2(0(5(2(2(0(5(4(1(3(2(4(1(4(1(1(0(x1))))))))))))))))) 0(4(5(4(5(0(2(3(1(2(4(5(3(5(0(4(3(3(2(x1))))))))))))))))))) -> 1(0(2(4(5(5(2(2(4(2(1(1(4(0(1(2(3(0(2(5(x1)))))))))))))))))))) 4(5(1(0(2(0(5(4(5(4(4(2(5(5(2(3(5(4(2(3(x1)))))))))))))))))))) -> 0(5(5(2(0(5(2(4(2(5(2(5(2(0(1(5(2(3(3(0(x1)))))))))))))))))))) 3(1(2(4(3(4(3(2(0(3(2(3(4(3(4(5(4(3(4(1(1(x1))))))))))))))))))))) -> 3(4(0(0(2(4(5(0(0(4(3(5(4(3(0(3(2(2(1(1(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_2(x_1)) -> 2(encArg(x_1)) encArg(cons_5(x_1)) -> 5(encArg(x_1)) encArg(cons_1(x_1)) -> 1(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(0(1(2(1(x1))))) -> 1(0(1(1(0(x1))))) 0(3(1(2(4(x1))))) -> 0(5(1(4(x1)))) 4(3(0(1(1(x1))))) -> 5(4(5(2(x1)))) 4(3(4(2(2(x1))))) -> 0(5(0(2(x1)))) 2(1(1(4(0(2(x1)))))) -> 1(1(5(3(5(x1))))) 2(2(4(1(3(4(2(x1))))))) -> 2(3(2(4(3(5(x1)))))) 4(0(5(4(2(4(0(x1))))))) -> 0(1(2(2(2(2(0(x1))))))) 4(2(4(2(5(1(0(1(5(x1))))))))) -> 5(0(3(1(0(2(2(5(x1)))))))) 5(2(4(5(0(3(0(2(3(x1))))))))) -> 5(3(2(1(0(1(3(4(0(x1))))))))) 1(4(1(3(2(3(3(1(2(1(x1)))))))))) -> 1(5(3(2(4(5(1(3(4(x1))))))))) 4(0(4(2(3(4(5(1(1(5(1(x1))))))))))) -> 5(4(3(2(2(3(2(1(2(4(0(x1))))))))))) 4(5(2(2(5(4(4(3(4(5(4(x1))))))))))) -> 5(2(3(2(5(0(0(0(5(4(x1)))))))))) 4(3(4(4(0(3(0(3(2(3(2(1(x1)))))))))))) -> 5(5(5(5(5(0(2(2(4(4(2(0(x1)))))))))))) 5(3(4(4(3(3(5(2(5(2(1(1(4(2(x1)))))))))))))) -> 5(4(0(5(2(5(5(3(1(0(3(3(5(x1))))))))))))) 0(5(1(0(3(3(2(5(5(4(0(5(5(5(2(x1))))))))))))))) -> 1(0(1(3(4(5(3(3(3(2(2(3(3(5(2(x1))))))))))))))) 4(5(3(2(1(1(5(2(2(3(4(3(2(3(1(x1))))))))))))))) -> 0(1(3(5(0(1(3(4(0(3(5(4(3(1(x1)))))))))))))) 5(0(1(0(1(1(5(1(1(5(5(2(1(1(0(x1))))))))))))))) -> 5(1(5(1(1(1(3(0(3(3(3(3(1(0(x1)))))))))))))) 5(3(0(4(4(1(1(5(3(4(1(1(2(3(2(x1))))))))))))))) -> 5(4(1(4(0(2(1(2(2(5(3(5(3(4(4(x1))))))))))))))) 2(4(1(0(2(3(2(3(5(3(1(2(3(1(1(4(x1)))))))))))))))) -> 2(2(2(1(4(5(0(1(0(3(1(3(5(1(2(x1))))))))))))))) 0(1(1(3(2(2(0(0(0(5(0(2(4(3(3(0(1(x1))))))))))))))))) -> 5(4(1(1(0(5(2(0(2(3(3(3(0(5(0(1(x1)))))))))))))))) 2(1(1(5(3(1(3(4(3(5(3(3(2(4(3(1(4(x1))))))))))))))))) -> 1(0(1(0(0(2(1(3(2(2(0(3(0(5(2(4(x1)))))))))))))))) 2(4(3(5(0(2(5(5(1(5(0(4(4(4(1(4(3(x1))))))))))))))))) -> 2(0(5(2(2(0(5(4(1(3(2(4(1(4(1(1(0(x1))))))))))))))))) 0(4(5(4(5(0(2(3(1(2(4(5(3(5(0(4(3(3(2(x1))))))))))))))))))) -> 1(0(2(4(5(5(2(2(4(2(1(1(4(0(1(2(3(0(2(5(x1)))))))))))))))))))) 4(5(1(0(2(0(5(4(5(4(4(2(5(5(2(3(5(4(2(3(x1)))))))))))))))))))) -> 0(5(5(2(0(5(2(4(2(5(2(5(2(0(1(5(2(3(3(0(x1)))))))))))))))))))) 3(1(2(4(3(4(3(2(0(3(2(3(4(3(4(5(4(3(4(1(1(x1))))))))))))))))))))) -> 3(4(0(0(2(4(5(0(0(4(3(5(4(3(0(3(2(2(1(1(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_2(x_1)) -> 2(encArg(x_1)) encArg(cons_5(x_1)) -> 5(encArg(x_1)) encArg(cons_1(x_1)) -> 1(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(0(1(2(1(x1))))) -> 1(0(1(1(0(x1))))) 0(3(1(2(4(x1))))) -> 0(5(1(4(x1)))) 4(3(0(1(1(x1))))) -> 5(4(5(2(x1)))) 4(3(4(2(2(x1))))) -> 0(5(0(2(x1)))) 2(1(1(4(0(2(x1)))))) -> 1(1(5(3(5(x1))))) 2(2(4(1(3(4(2(x1))))))) -> 2(3(2(4(3(5(x1)))))) 4(0(5(4(2(4(0(x1))))))) -> 0(1(2(2(2(2(0(x1))))))) 4(2(4(2(5(1(0(1(5(x1))))))))) -> 5(0(3(1(0(2(2(5(x1)))))))) 5(2(4(5(0(3(0(2(3(x1))))))))) -> 5(3(2(1(0(1(3(4(0(x1))))))))) 1(4(1(3(2(3(3(1(2(1(x1)))))))))) -> 1(5(3(2(4(5(1(3(4(x1))))))))) 4(0(4(2(3(4(5(1(1(5(1(x1))))))))))) -> 5(4(3(2(2(3(2(1(2(4(0(x1))))))))))) 4(5(2(2(5(4(4(3(4(5(4(x1))))))))))) -> 5(2(3(2(5(0(0(0(5(4(x1)))))))))) 4(3(4(4(0(3(0(3(2(3(2(1(x1)))))))))))) -> 5(5(5(5(5(0(2(2(4(4(2(0(x1)))))))))))) 5(3(4(4(3(3(5(2(5(2(1(1(4(2(x1)))))))))))))) -> 5(4(0(5(2(5(5(3(1(0(3(3(5(x1))))))))))))) 0(5(1(0(3(3(2(5(5(4(0(5(5(5(2(x1))))))))))))))) -> 1(0(1(3(4(5(3(3(3(2(2(3(3(5(2(x1))))))))))))))) 4(5(3(2(1(1(5(2(2(3(4(3(2(3(1(x1))))))))))))))) -> 0(1(3(5(0(1(3(4(0(3(5(4(3(1(x1)))))))))))))) 5(0(1(0(1(1(5(1(1(5(5(2(1(1(0(x1))))))))))))))) -> 5(1(5(1(1(1(3(0(3(3(3(3(1(0(x1)))))))))))))) 5(3(0(4(4(1(1(5(3(4(1(1(2(3(2(x1))))))))))))))) -> 5(4(1(4(0(2(1(2(2(5(3(5(3(4(4(x1))))))))))))))) 2(4(1(0(2(3(2(3(5(3(1(2(3(1(1(4(x1)))))))))))))))) -> 2(2(2(1(4(5(0(1(0(3(1(3(5(1(2(x1))))))))))))))) 0(1(1(3(2(2(0(0(0(5(0(2(4(3(3(0(1(x1))))))))))))))))) -> 5(4(1(1(0(5(2(0(2(3(3(3(0(5(0(1(x1)))))))))))))))) 2(1(1(5(3(1(3(4(3(5(3(3(2(4(3(1(4(x1))))))))))))))))) -> 1(0(1(0(0(2(1(3(2(2(0(3(0(5(2(4(x1)))))))))))))))) 2(4(3(5(0(2(5(5(1(5(0(4(4(4(1(4(3(x1))))))))))))))))) -> 2(0(5(2(2(0(5(4(1(3(2(4(1(4(1(1(0(x1))))))))))))))))) 0(4(5(4(5(0(2(3(1(2(4(5(3(5(0(4(3(3(2(x1))))))))))))))))))) -> 1(0(2(4(5(5(2(2(4(2(1(1(4(0(1(2(3(0(2(5(x1)))))))))))))))))))) 4(5(1(0(2(0(5(4(5(4(4(2(5(5(2(3(5(4(2(3(x1)))))))))))))))))))) -> 0(5(5(2(0(5(2(4(2(5(2(5(2(0(1(5(2(3(3(0(x1)))))))))))))))))))) 3(1(2(4(3(4(3(2(0(3(2(3(4(3(4(5(4(3(4(1(1(x1))))))))))))))))))))) -> 3(4(0(0(2(4(5(0(0(4(3(5(4(3(0(3(2(2(1(1(x1)))))))))))))))))))) encArg(cons_0(x_1)) -> 0(encArg(x_1)) encArg(cons_4(x_1)) -> 4(encArg(x_1)) encArg(cons_2(x_1)) -> 2(encArg(x_1)) encArg(cons_5(x_1)) -> 5(encArg(x_1)) encArg(cons_1(x_1)) -> 1(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 2. 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] {(151,152,[0_1|0, 4_1|0, 2_1|0, 5_1|0, 1_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]), (151,153,[0_1|1, 4_1|1, 2_1|1, 5_1|1, 1_1|1, 3_1|1]), (151,154,[1_1|2]), (151,158,[0_1|2]), (151,161,[1_1|2]), (151,175,[5_1|2]), (151,190,[1_1|2]), (151,209,[5_1|2]), (151,212,[0_1|2]), (151,215,[5_1|2]), (151,226,[0_1|2]), (151,232,[5_1|2]), (151,242,[5_1|2]), (151,249,[5_1|2]), (151,258,[0_1|2]), (151,271,[0_1|2]), (151,290,[1_1|2]), (151,294,[1_1|2]), (151,309,[2_1|2]), (151,314,[2_1|2]), (151,328,[2_1|2]), (151,344,[5_1|2]), (151,352,[5_1|2]), (151,364,[5_1|2]), (151,378,[5_1|2]), (151,391,[1_1|2]), (151,399,[3_1|2]), (152,152,[cons_0_1|0, cons_4_1|0, cons_2_1|0, cons_5_1|0, cons_1_1|0, cons_3_1|0]), (153,152,[encArg_1|1]), (153,153,[0_1|1, 4_1|1, 2_1|1, 5_1|1, 1_1|1, 3_1|1]), (153,154,[1_1|2]), (153,158,[0_1|2]), (153,161,[1_1|2]), (153,175,[5_1|2]), (153,190,[1_1|2]), (153,209,[5_1|2]), (153,212,[0_1|2]), (153,215,[5_1|2]), (153,226,[0_1|2]), (153,232,[5_1|2]), (153,242,[5_1|2]), (153,249,[5_1|2]), (153,258,[0_1|2]), (153,271,[0_1|2]), (153,290,[1_1|2]), (153,294,[1_1|2]), (153,309,[2_1|2]), (153,314,[2_1|2]), (153,328,[2_1|2]), (153,344,[5_1|2]), (153,352,[5_1|2]), (153,364,[5_1|2]), (153,378,[5_1|2]), (153,391,[1_1|2]), (153,399,[3_1|2]), (154,155,[0_1|2]), (155,156,[1_1|2]), (156,157,[1_1|2]), (157,153,[0_1|2]), (157,154,[0_1|2, 1_1|2]), (157,161,[0_1|2, 1_1|2]), (157,190,[0_1|2, 1_1|2]), (157,290,[0_1|2]), (157,294,[0_1|2]), (157,391,[0_1|2]), (157,158,[0_1|2]), (157,175,[5_1|2]), (158,159,[5_1|2]), (159,160,[1_1|2]), (159,391,[1_1|2]), (160,153,[4_1|2]), (160,209,[5_1|2]), (160,212,[0_1|2]), (160,215,[5_1|2]), (160,226,[0_1|2]), (160,232,[5_1|2]), (160,242,[5_1|2]), (160,249,[5_1|2]), (160,258,[0_1|2]), (160,271,[0_1|2]), (161,162,[0_1|2]), (162,163,[1_1|2]), (163,164,[3_1|2]), (164,165,[4_1|2]), (165,166,[5_1|2]), (166,167,[3_1|2]), (167,168,[3_1|2]), (168,169,[3_1|2]), (169,170,[2_1|2]), (170,171,[2_1|2]), (171,172,[3_1|2]), (172,173,[3_1|2]), (173,174,[5_1|2]), (173,344,[5_1|2]), (174,153,[2_1|2]), (174,309,[2_1|2]), (174,314,[2_1|2]), (174,328,[2_1|2]), (174,250,[2_1|2]), (174,290,[1_1|2]), (174,294,[1_1|2]), (175,176,[4_1|2]), (176,177,[1_1|2]), (177,178,[1_1|2]), (178,179,[0_1|2]), (179,180,[5_1|2]), (180,181,[2_1|2]), (181,182,[0_1|2]), (182,183,[2_1|2]), (183,184,[3_1|2]), (184,185,[3_1|2]), (185,186,[3_1|2]), (186,187,[0_1|2]), (187,188,[5_1|2]), (187,378,[5_1|2]), (188,189,[0_1|2]), (188,175,[5_1|2]), (189,153,[1_1|2]), (189,154,[1_1|2]), (189,161,[1_1|2]), (189,190,[1_1|2]), (189,290,[1_1|2]), (189,294,[1_1|2]), (189,391,[1_1|2]), (189,227,[1_1|2]), (189,259,[1_1|2]), (190,191,[0_1|2]), (191,192,[2_1|2]), (192,193,[4_1|2]), (193,194,[5_1|2]), (194,195,[5_1|2]), (195,196,[2_1|2]), (196,197,[2_1|2]), (197,198,[4_1|2]), (198,199,[2_1|2]), (199,200,[1_1|2]), (200,201,[1_1|2]), (201,202,[4_1|2]), (202,203,[0_1|2]), (203,204,[1_1|2]), (204,205,[2_1|2]), (205,206,[3_1|2]), (206,207,[0_1|2]), (207,208,[2_1|2]), (208,153,[5_1|2]), (208,309,[5_1|2]), (208,314,[5_1|2]), (208,328,[5_1|2]), (208,344,[5_1|2]), (208,352,[5_1|2]), (208,364,[5_1|2]), (208,378,[5_1|2]), (209,210,[4_1|2]), (209,249,[5_1|2]), (210,211,[5_1|2]), (210,344,[5_1|2]), (211,153,[2_1|2]), (211,154,[2_1|2]), (211,161,[2_1|2]), (211,190,[2_1|2]), (211,290,[2_1|2, 1_1|2]), (211,294,[2_1|2, 1_1|2]), (211,391,[2_1|2]), (211,291,[2_1|2]), (211,309,[2_1|2]), (211,314,[2_1|2]), (211,328,[2_1|2]), (212,213,[5_1|2]), (213,214,[0_1|2]), (214,153,[2_1|2]), (214,309,[2_1|2]), (214,314,[2_1|2]), (214,328,[2_1|2]), (214,315,[2_1|2]), (214,290,[1_1|2]), (214,294,[1_1|2]), (215,216,[5_1|2]), (216,217,[5_1|2]), (217,218,[5_1|2]), (218,219,[5_1|2]), (219,220,[0_1|2]), (220,221,[2_1|2]), (221,222,[2_1|2]), (222,223,[4_1|2]), (223,224,[4_1|2]), (224,225,[2_1|2]), (225,153,[0_1|2]), (225,154,[0_1|2, 1_1|2]), (225,161,[0_1|2, 1_1|2]), (225,190,[0_1|2, 1_1|2]), (225,290,[0_1|2]), (225,294,[0_1|2]), (225,391,[0_1|2]), (225,158,[0_1|2]), (225,175,[5_1|2]), (226,227,[1_1|2]), (227,228,[2_1|2]), (228,229,[2_1|2]), (229,230,[2_1|2]), (230,231,[2_1|2]), (231,153,[0_1|2]), (231,158,[0_1|2]), (231,212,[0_1|2]), (231,226,[0_1|2]), (231,258,[0_1|2]), (231,271,[0_1|2]), (231,154,[1_1|2]), (231,161,[1_1|2]), (231,175,[5_1|2]), (231,190,[1_1|2]), (232,233,[4_1|2]), (233,234,[3_1|2]), (234,235,[2_1|2]), (235,236,[2_1|2]), (236,237,[3_1|2]), (237,238,[2_1|2]), (238,239,[1_1|2]), (239,240,[2_1|2]), (240,241,[4_1|2]), (240,226,[0_1|2]), (240,232,[5_1|2]), (241,153,[0_1|2]), (241,154,[0_1|2, 1_1|2]), (241,161,[0_1|2, 1_1|2]), (241,190,[0_1|2, 1_1|2]), (241,290,[0_1|2]), (241,294,[0_1|2]), (241,391,[0_1|2]), (241,379,[0_1|2]), (241,158,[0_1|2]), (241,175,[5_1|2]), (242,243,[0_1|2]), (243,244,[3_1|2]), (244,245,[1_1|2]), (245,246,[0_1|2]), (246,247,[2_1|2]), (247,248,[2_1|2]), (248,153,[5_1|2]), (248,175,[5_1|2]), (248,209,[5_1|2]), (248,215,[5_1|2]), (248,232,[5_1|2]), (248,242,[5_1|2]), (248,249,[5_1|2]), (248,344,[5_1|2]), (248,352,[5_1|2]), (248,364,[5_1|2]), (248,378,[5_1|2]), (248,392,[5_1|2]), (249,250,[2_1|2]), (250,251,[3_1|2]), (251,252,[2_1|2]), (252,253,[5_1|2]), (253,254,[0_1|2]), (254,255,[0_1|2]), (255,256,[0_1|2]), (256,257,[5_1|2]), (257,153,[4_1|2]), (257,176,[4_1|2]), (257,210,[4_1|2]), (257,233,[4_1|2]), (257,353,[4_1|2]), (257,365,[4_1|2]), (257,209,[5_1|2]), (257,212,[0_1|2]), (257,215,[5_1|2]), (257,226,[0_1|2]), (257,232,[5_1|2]), (257,242,[5_1|2]), (257,249,[5_1|2]), (257,258,[0_1|2]), (257,271,[0_1|2]), (258,259,[1_1|2]), (259,260,[3_1|2]), (260,261,[5_1|2]), (261,262,[0_1|2]), (262,263,[1_1|2]), (263,264,[3_1|2]), (264,265,[4_1|2]), (265,266,[0_1|2]), (266,267,[3_1|2]), (267,268,[5_1|2]), (268,269,[4_1|2]), (269,270,[3_1|2]), (269,399,[3_1|2]), (270,153,[1_1|2]), (270,154,[1_1|2]), (270,161,[1_1|2]), (270,190,[1_1|2]), (270,290,[1_1|2]), (270,294,[1_1|2]), (270,391,[1_1|2]), (271,272,[5_1|2]), (272,273,[5_1|2]), (273,274,[2_1|2]), (274,275,[0_1|2]), (275,276,[5_1|2]), (276,277,[2_1|2]), (277,278,[4_1|2]), (278,279,[2_1|2]), (279,280,[5_1|2]), (280,281,[2_1|2]), (281,282,[5_1|2]), (282,283,[2_1|2]), (283,284,[0_1|2]), (284,285,[1_1|2]), (285,286,[5_1|2]), (286,287,[2_1|2]), (287,288,[3_1|2]), (288,289,[3_1|2]), (289,153,[0_1|2]), (289,399,[0_1|2]), (289,310,[0_1|2]), (289,154,[1_1|2]), (289,158,[0_1|2]), (289,161,[1_1|2]), (289,175,[5_1|2]), (289,190,[1_1|2]), (290,291,[1_1|2]), (291,292,[5_1|2]), (292,293,[3_1|2]), (293,153,[5_1|2]), (293,309,[5_1|2]), (293,314,[5_1|2]), (293,328,[5_1|2]), (293,344,[5_1|2]), (293,352,[5_1|2]), (293,364,[5_1|2]), (293,378,[5_1|2]), (294,295,[0_1|2]), (295,296,[1_1|2]), (296,297,[0_1|2]), (297,298,[0_1|2]), (298,299,[2_1|2]), (299,300,[1_1|2]), (300,301,[3_1|2]), (301,302,[2_1|2]), (302,303,[2_1|2]), (303,304,[0_1|2]), (304,305,[3_1|2]), (305,306,[0_1|2]), (306,307,[5_1|2]), (306,344,[5_1|2]), (307,308,[2_1|2]), (307,314,[2_1|2]), (307,328,[2_1|2]), (308,153,[4_1|2]), (308,209,[5_1|2]), (308,212,[0_1|2]), (308,215,[5_1|2]), (308,226,[0_1|2]), (308,232,[5_1|2]), (308,242,[5_1|2]), (308,249,[5_1|2]), (308,258,[0_1|2]), (308,271,[0_1|2]), (309,310,[3_1|2]), (310,311,[2_1|2]), (310,328,[2_1|2]), (311,312,[4_1|2]), (312,313,[3_1|2]), (313,153,[5_1|2]), (313,309,[5_1|2]), (313,314,[5_1|2]), (313,328,[5_1|2]), (313,344,[5_1|2]), (313,352,[5_1|2]), (313,364,[5_1|2]), (313,378,[5_1|2]), (314,315,[2_1|2]), (315,316,[2_1|2]), (316,317,[1_1|2]), (317,318,[4_1|2]), (318,319,[5_1|2]), (319,320,[0_1|2]), (320,321,[1_1|2]), (321,322,[0_1|2]), (322,323,[3_1|2]), (323,324,[1_1|2]), (324,325,[3_1|2]), (325,326,[5_1|2]), (326,327,[1_1|2]), (327,153,[2_1|2]), (327,290,[1_1|2]), (327,294,[1_1|2]), (327,309,[2_1|2]), (327,314,[2_1|2]), (327,328,[2_1|2]), (328,329,[0_1|2]), (329,330,[5_1|2]), (330,331,[2_1|2]), (331,332,[2_1|2]), (332,333,[0_1|2]), (333,334,[5_1|2]), (334,335,[4_1|2]), (335,336,[1_1|2]), (336,337,[3_1|2]), (337,338,[2_1|2]), (338,339,[4_1|2]), (339,340,[1_1|2]), (340,341,[4_1|2]), (341,342,[1_1|2]), (342,343,[1_1|2]), (343,153,[0_1|2]), (343,399,[0_1|2]), (343,154,[1_1|2]), (343,158,[0_1|2]), (343,161,[1_1|2]), (343,175,[5_1|2]), (343,190,[1_1|2]), (344,345,[3_1|2]), (345,346,[2_1|2]), (346,347,[1_1|2]), (347,348,[0_1|2]), (348,349,[1_1|2]), (349,350,[3_1|2]), (350,351,[4_1|2]), (350,226,[0_1|2]), (350,232,[5_1|2]), (351,153,[0_1|2]), (351,399,[0_1|2]), (351,310,[0_1|2]), (351,154,[1_1|2]), (351,158,[0_1|2]), (351,161,[1_1|2]), (351,175,[5_1|2]), (351,190,[1_1|2]), (352,353,[4_1|2]), (353,354,[0_1|2]), (354,355,[5_1|2]), (355,356,[2_1|2]), (356,357,[5_1|2]), (357,358,[5_1|2]), (358,359,[3_1|2]), (359,360,[1_1|2]), (360,361,[0_1|2]), (361,362,[3_1|2]), (362,363,[3_1|2]), (363,153,[5_1|2]), (363,309,[5_1|2]), (363,314,[5_1|2]), (363,328,[5_1|2]), (363,344,[5_1|2]), (363,352,[5_1|2]), (363,364,[5_1|2]), (363,378,[5_1|2]), (364,365,[4_1|2]), (365,366,[1_1|2]), (366,367,[4_1|2]), (367,368,[0_1|2]), (368,369,[2_1|2]), (369,370,[1_1|2]), (370,371,[2_1|2]), (371,372,[2_1|2]), (372,373,[5_1|2]), (373,374,[3_1|2]), (374,375,[5_1|2]), (374,352,[5_1|2]), (375,376,[3_1|2]), (376,377,[4_1|2]), (377,153,[4_1|2]), (377,309,[4_1|2]), (377,314,[4_1|2]), (377,328,[4_1|2]), (377,311,[4_1|2]), (377,209,[5_1|2]), (377,212,[0_1|2]), (377,215,[5_1|2]), (377,226,[0_1|2]), (377,232,[5_1|2]), (377,242,[5_1|2]), (377,249,[5_1|2]), (377,258,[0_1|2]), (377,271,[0_1|2]), (378,379,[1_1|2]), (379,380,[5_1|2]), (380,381,[1_1|2]), (381,382,[1_1|2]), (382,383,[1_1|2]), (383,384,[3_1|2]), (384,385,[0_1|2]), (385,386,[3_1|2]), (386,387,[3_1|2]), (387,388,[3_1|2]), (388,389,[3_1|2]), (389,390,[1_1|2]), (390,153,[0_1|2]), (390,158,[0_1|2]), (390,212,[0_1|2]), (390,226,[0_1|2]), (390,258,[0_1|2]), (390,271,[0_1|2]), (390,155,[0_1|2]), (390,162,[0_1|2]), (390,191,[0_1|2]), (390,295,[0_1|2]), (390,154,[1_1|2]), (390,161,[1_1|2]), (390,175,[5_1|2]), (390,190,[1_1|2]), (391,392,[5_1|2]), (392,393,[3_1|2]), (393,394,[2_1|2]), (394,395,[4_1|2]), (395,396,[5_1|2]), (396,397,[1_1|2]), (397,398,[3_1|2]), (398,153,[4_1|2]), (398,154,[4_1|2]), (398,161,[4_1|2]), (398,190,[4_1|2]), (398,290,[4_1|2]), (398,294,[4_1|2]), (398,391,[4_1|2]), (398,209,[5_1|2]), (398,212,[0_1|2]), (398,215,[5_1|2]), (398,226,[0_1|2]), (398,232,[5_1|2]), (398,242,[5_1|2]), (398,249,[5_1|2]), (398,258,[0_1|2]), (398,271,[0_1|2]), (399,400,[4_1|2]), (400,401,[0_1|2]), (401,402,[0_1|2]), (402,403,[2_1|2]), (403,404,[4_1|2]), (404,405,[5_1|2]), (405,406,[0_1|2]), (406,407,[0_1|2]), (407,408,[4_1|2]), (408,409,[3_1|2]), (409,410,[5_1|2]), (410,411,[4_1|2]), (411,412,[3_1|2]), (412,413,[0_1|2]), (413,414,[3_1|2]), (414,415,[2_1|2]), (415,416,[2_1|2]), (415,290,[1_1|2]), (415,294,[1_1|2]), (416,417,[1_1|2]), (417,153,[1_1|2]), (417,154,[1_1|2]), (417,161,[1_1|2]), (417,190,[1_1|2]), (417,290,[1_1|2]), (417,294,[1_1|2]), (417,391,[1_1|2]), (417,291,[1_1|2])}" ---------------------------------------- (8) BOUNDS(1, n^1)