/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# AProVE Commit ID: 794c25de1cacf0d048858bcd21c9a779e1221865 marcel 20200619 unpublished dirty The Derivational Complexity (innermost) of the given DCpxTrs could be proven to be BOUNDS(1, n^1).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), 75 ms] (4) CpxRelTRS (5) RelTrsToTrsProof [UPPER BOUND(ID), 0 ms] (6) CpxTRS (7) CpxTrsMatchBoundsProof [FINISHED, 26 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)))) -> 0(2(2(3(x1)))) 1(1(4(4(5(x1))))) -> 5(1(0(0(5(x1))))) 2(3(3(2(5(x1))))) -> 3(5(4(5(5(x1))))) 5(1(1(5(3(x1))))) -> 5(1(4(5(3(x1))))) 0(2(5(1(1(4(x1)))))) -> 0(3(2(2(4(5(x1)))))) 1(2(1(4(0(3(x1)))))) -> 4(2(5(4(5(3(x1)))))) 1(5(2(0(4(3(x1)))))) -> 5(0(1(1(1(x1))))) 2(2(1(5(4(0(x1)))))) -> 2(3(5(4(0(3(x1)))))) 4(0(2(3(1(4(4(x1))))))) -> 4(1(3(0(5(0(5(x1))))))) 4(3(5(4(3(2(2(2(x1)))))))) -> 4(1(2(3(4(1(4(x1))))))) 0(2(2(2(3(4(3(3(3(x1))))))))) -> 0(5(4(0(5(3(5(5(3(x1))))))))) 4(5(3(4(1(1(0(5(2(x1))))))))) -> 4(4(3(1(3(2(0(5(2(x1))))))))) 3(3(4(1(0(4(5(1(5(2(x1)))))))))) -> 3(3(4(1(5(0(3(0(2(4(x1)))))))))) 2(4(5(4(0(5(5(1(2(1(4(2(x1)))))))))))) -> 4(1(0(1(1(3(3(0(1(4(2(x1))))))))))) 1(0(0(4(5(4(3(4(5(1(5(4(0(x1))))))))))))) -> 5(3(3(1(2(1(1(0(3(1(3(x1))))))))))) 1(2(2(1(2(3(2(4(4(0(0(3(2(x1))))))))))))) -> 4(4(4(3(2(0(1(3(1(2(2(4(5(x1))))))))))))) 4(1(5(4(5(3(3(3(1(2(0(2(0(x1))))))))))))) -> 4(1(4(3(4(4(0(1(3(1(1(5(x1)))))))))))) 2(2(3(3(0(2(0(2(5(0(5(5(5(1(0(3(1(x1))))))))))))))))) -> 5(5(5(2(0(2(5(0(0(4(3(2(1(4(3(3(1(x1))))))))))))))))) 1(5(1(1(3(0(3(3(3(3(1(1(5(1(5(2(5(2(x1)))))))))))))))))) -> 3(5(4(2(0(5(1(3(4(1(1(2(5(2(4(1(5(2(x1)))))))))))))))))) 2(4(3(3(4(2(3(5(4(0(4(0(2(3(0(3(3(0(x1)))))))))))))))))) -> 2(1(3(0(4(4(1(5(2(1(0(3(0(5(0(1(5(x1))))))))))))))))) 2(5(5(1(2(3(5(0(3(0(0(3(3(1(0(1(3(2(x1)))))))))))))))))) -> 2(1(5(0(0(1(5(2(2(2(3(1(0(5(0(4(3(3(x1)))))))))))))))))) 2(3(5(1(3(0(0(5(0(2(2(4(5(4(0(3(1(4(2(x1))))))))))))))))))) -> 5(2(0(2(0(3(2(3(5(2(2(4(1(3(5(5(1(2(x1)))))))))))))))))) 3(2(3(4(1(2(5(5(0(1(2(3(4(0(5(1(4(4(5(4(x1)))))))))))))))))))) -> 3(2(0(1(5(0(1(5(5(1(2(3(0(2(4(2(5(2(2(4(x1)))))))))))))))))))) 3(5(5(2(0(4(4(5(5(0(3(5(2(1(2(1(0(2(2(3(x1)))))))))))))))))))) -> 3(1(3(3(0(5(4(2(4(1(2(3(5(0(3(4(5(2(4(3(x1)))))))))))))))))))) 4(5(1(4(5(3(1(5(5(3(5(0(2(1(2(4(4(5(1(0(4(x1))))))))))))))))))))) -> 4(4(0(2(1(5(2(0(4(5(2(2(3(5(5(2(2(0(3(5(4(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(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_5(x_1)) -> 5(encArg(x_1)) encArg(cons_4(x_1)) -> 4(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 (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)))) -> 0(2(2(3(x1)))) 1(1(4(4(5(x1))))) -> 5(1(0(0(5(x1))))) 2(3(3(2(5(x1))))) -> 3(5(4(5(5(x1))))) 5(1(1(5(3(x1))))) -> 5(1(4(5(3(x1))))) 0(2(5(1(1(4(x1)))))) -> 0(3(2(2(4(5(x1)))))) 1(2(1(4(0(3(x1)))))) -> 4(2(5(4(5(3(x1)))))) 1(5(2(0(4(3(x1)))))) -> 5(0(1(1(1(x1))))) 2(2(1(5(4(0(x1)))))) -> 2(3(5(4(0(3(x1)))))) 4(0(2(3(1(4(4(x1))))))) -> 4(1(3(0(5(0(5(x1))))))) 4(3(5(4(3(2(2(2(x1)))))))) -> 4(1(2(3(4(1(4(x1))))))) 0(2(2(2(3(4(3(3(3(x1))))))))) -> 0(5(4(0(5(3(5(5(3(x1))))))))) 4(5(3(4(1(1(0(5(2(x1))))))))) -> 4(4(3(1(3(2(0(5(2(x1))))))))) 3(3(4(1(0(4(5(1(5(2(x1)))))))))) -> 3(3(4(1(5(0(3(0(2(4(x1)))))))))) 2(4(5(4(0(5(5(1(2(1(4(2(x1)))))))))))) -> 4(1(0(1(1(3(3(0(1(4(2(x1))))))))))) 1(0(0(4(5(4(3(4(5(1(5(4(0(x1))))))))))))) -> 5(3(3(1(2(1(1(0(3(1(3(x1))))))))))) 1(2(2(1(2(3(2(4(4(0(0(3(2(x1))))))))))))) -> 4(4(4(3(2(0(1(3(1(2(2(4(5(x1))))))))))))) 4(1(5(4(5(3(3(3(1(2(0(2(0(x1))))))))))))) -> 4(1(4(3(4(4(0(1(3(1(1(5(x1)))))))))))) 2(2(3(3(0(2(0(2(5(0(5(5(5(1(0(3(1(x1))))))))))))))))) -> 5(5(5(2(0(2(5(0(0(4(3(2(1(4(3(3(1(x1))))))))))))))))) 1(5(1(1(3(0(3(3(3(3(1(1(5(1(5(2(5(2(x1)))))))))))))))))) -> 3(5(4(2(0(5(1(3(4(1(1(2(5(2(4(1(5(2(x1)))))))))))))))))) 2(4(3(3(4(2(3(5(4(0(4(0(2(3(0(3(3(0(x1)))))))))))))))))) -> 2(1(3(0(4(4(1(5(2(1(0(3(0(5(0(1(5(x1))))))))))))))))) 2(5(5(1(2(3(5(0(3(0(0(3(3(1(0(1(3(2(x1)))))))))))))))))) -> 2(1(5(0(0(1(5(2(2(2(3(1(0(5(0(4(3(3(x1)))))))))))))))))) 2(3(5(1(3(0(0(5(0(2(2(4(5(4(0(3(1(4(2(x1))))))))))))))))))) -> 5(2(0(2(0(3(2(3(5(2(2(4(1(3(5(5(1(2(x1)))))))))))))))))) 3(2(3(4(1(2(5(5(0(1(2(3(4(0(5(1(4(4(5(4(x1)))))))))))))))))))) -> 3(2(0(1(5(0(1(5(5(1(2(3(0(2(4(2(5(2(2(4(x1)))))))))))))))))))) 3(5(5(2(0(4(4(5(5(0(3(5(2(1(2(1(0(2(2(3(x1)))))))))))))))))))) -> 3(1(3(3(0(5(4(2(4(1(2(3(5(0(3(4(5(2(4(3(x1)))))))))))))))))))) 4(5(1(4(5(3(1(5(5(3(5(0(2(1(2(4(4(5(1(0(4(x1))))))))))))))))))))) -> 4(4(0(2(1(5(2(0(4(5(2(2(3(5(5(2(2(0(3(5(4(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_5(x_1)) -> 5(encArg(x_1)) encArg(cons_4(x_1)) -> 4(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: 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)))) -> 0(2(2(3(x1)))) 1(1(4(4(5(x1))))) -> 5(1(0(0(5(x1))))) 2(3(3(2(5(x1))))) -> 3(5(4(5(5(x1))))) 5(1(1(5(3(x1))))) -> 5(1(4(5(3(x1))))) 0(2(5(1(1(4(x1)))))) -> 0(3(2(2(4(5(x1)))))) 1(2(1(4(0(3(x1)))))) -> 4(2(5(4(5(3(x1)))))) 1(5(2(0(4(3(x1)))))) -> 5(0(1(1(1(x1))))) 2(2(1(5(4(0(x1)))))) -> 2(3(5(4(0(3(x1)))))) 4(0(2(3(1(4(4(x1))))))) -> 4(1(3(0(5(0(5(x1))))))) 4(3(5(4(3(2(2(2(x1)))))))) -> 4(1(2(3(4(1(4(x1))))))) 0(2(2(2(3(4(3(3(3(x1))))))))) -> 0(5(4(0(5(3(5(5(3(x1))))))))) 4(5(3(4(1(1(0(5(2(x1))))))))) -> 4(4(3(1(3(2(0(5(2(x1))))))))) 3(3(4(1(0(4(5(1(5(2(x1)))))))))) -> 3(3(4(1(5(0(3(0(2(4(x1)))))))))) 2(4(5(4(0(5(5(1(2(1(4(2(x1)))))))))))) -> 4(1(0(1(1(3(3(0(1(4(2(x1))))))))))) 1(0(0(4(5(4(3(4(5(1(5(4(0(x1))))))))))))) -> 5(3(3(1(2(1(1(0(3(1(3(x1))))))))))) 1(2(2(1(2(3(2(4(4(0(0(3(2(x1))))))))))))) -> 4(4(4(3(2(0(1(3(1(2(2(4(5(x1))))))))))))) 4(1(5(4(5(3(3(3(1(2(0(2(0(x1))))))))))))) -> 4(1(4(3(4(4(0(1(3(1(1(5(x1)))))))))))) 2(2(3(3(0(2(0(2(5(0(5(5(5(1(0(3(1(x1))))))))))))))))) -> 5(5(5(2(0(2(5(0(0(4(3(2(1(4(3(3(1(x1))))))))))))))))) 1(5(1(1(3(0(3(3(3(3(1(1(5(1(5(2(5(2(x1)))))))))))))))))) -> 3(5(4(2(0(5(1(3(4(1(1(2(5(2(4(1(5(2(x1)))))))))))))))))) 2(4(3(3(4(2(3(5(4(0(4(0(2(3(0(3(3(0(x1)))))))))))))))))) -> 2(1(3(0(4(4(1(5(2(1(0(3(0(5(0(1(5(x1))))))))))))))))) 2(5(5(1(2(3(5(0(3(0(0(3(3(1(0(1(3(2(x1)))))))))))))))))) -> 2(1(5(0(0(1(5(2(2(2(3(1(0(5(0(4(3(3(x1)))))))))))))))))) 2(3(5(1(3(0(0(5(0(2(2(4(5(4(0(3(1(4(2(x1))))))))))))))))))) -> 5(2(0(2(0(3(2(3(5(2(2(4(1(3(5(5(1(2(x1)))))))))))))))))) 3(2(3(4(1(2(5(5(0(1(2(3(4(0(5(1(4(4(5(4(x1)))))))))))))))))))) -> 3(2(0(1(5(0(1(5(5(1(2(3(0(2(4(2(5(2(2(4(x1)))))))))))))))))))) 3(5(5(2(0(4(4(5(5(0(3(5(2(1(2(1(0(2(2(3(x1)))))))))))))))))))) -> 3(1(3(3(0(5(4(2(4(1(2(3(5(0(3(4(5(2(4(3(x1)))))))))))))))))))) 4(5(1(4(5(3(1(5(5(3(5(0(2(1(2(4(4(5(1(0(4(x1))))))))))))))))))))) -> 4(4(0(2(1(5(2(0(4(5(2(2(3(5(5(2(2(0(3(5(4(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_5(x_1)) -> 5(encArg(x_1)) encArg(cons_4(x_1)) -> 4(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: 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)))) -> 0(2(2(3(x1)))) 1(1(4(4(5(x1))))) -> 5(1(0(0(5(x1))))) 2(3(3(2(5(x1))))) -> 3(5(4(5(5(x1))))) 5(1(1(5(3(x1))))) -> 5(1(4(5(3(x1))))) 0(2(5(1(1(4(x1)))))) -> 0(3(2(2(4(5(x1)))))) 1(2(1(4(0(3(x1)))))) -> 4(2(5(4(5(3(x1)))))) 1(5(2(0(4(3(x1)))))) -> 5(0(1(1(1(x1))))) 2(2(1(5(4(0(x1)))))) -> 2(3(5(4(0(3(x1)))))) 4(0(2(3(1(4(4(x1))))))) -> 4(1(3(0(5(0(5(x1))))))) 4(3(5(4(3(2(2(2(x1)))))))) -> 4(1(2(3(4(1(4(x1))))))) 0(2(2(2(3(4(3(3(3(x1))))))))) -> 0(5(4(0(5(3(5(5(3(x1))))))))) 4(5(3(4(1(1(0(5(2(x1))))))))) -> 4(4(3(1(3(2(0(5(2(x1))))))))) 3(3(4(1(0(4(5(1(5(2(x1)))))))))) -> 3(3(4(1(5(0(3(0(2(4(x1)))))))))) 2(4(5(4(0(5(5(1(2(1(4(2(x1)))))))))))) -> 4(1(0(1(1(3(3(0(1(4(2(x1))))))))))) 1(0(0(4(5(4(3(4(5(1(5(4(0(x1))))))))))))) -> 5(3(3(1(2(1(1(0(3(1(3(x1))))))))))) 1(2(2(1(2(3(2(4(4(0(0(3(2(x1))))))))))))) -> 4(4(4(3(2(0(1(3(1(2(2(4(5(x1))))))))))))) 4(1(5(4(5(3(3(3(1(2(0(2(0(x1))))))))))))) -> 4(1(4(3(4(4(0(1(3(1(1(5(x1)))))))))))) 2(2(3(3(0(2(0(2(5(0(5(5(5(1(0(3(1(x1))))))))))))))))) -> 5(5(5(2(0(2(5(0(0(4(3(2(1(4(3(3(1(x1))))))))))))))))) 1(5(1(1(3(0(3(3(3(3(1(1(5(1(5(2(5(2(x1)))))))))))))))))) -> 3(5(4(2(0(5(1(3(4(1(1(2(5(2(4(1(5(2(x1)))))))))))))))))) 2(4(3(3(4(2(3(5(4(0(4(0(2(3(0(3(3(0(x1)))))))))))))))))) -> 2(1(3(0(4(4(1(5(2(1(0(3(0(5(0(1(5(x1))))))))))))))))) 2(5(5(1(2(3(5(0(3(0(0(3(3(1(0(1(3(2(x1)))))))))))))))))) -> 2(1(5(0(0(1(5(2(2(2(3(1(0(5(0(4(3(3(x1)))))))))))))))))) 2(3(5(1(3(0(0(5(0(2(2(4(5(4(0(3(1(4(2(x1))))))))))))))))))) -> 5(2(0(2(0(3(2(3(5(2(2(4(1(3(5(5(1(2(x1)))))))))))))))))) 3(2(3(4(1(2(5(5(0(1(2(3(4(0(5(1(4(4(5(4(x1)))))))))))))))))))) -> 3(2(0(1(5(0(1(5(5(1(2(3(0(2(4(2(5(2(2(4(x1)))))))))))))))))))) 3(5(5(2(0(4(4(5(5(0(3(5(2(1(2(1(0(2(2(3(x1)))))))))))))))))))) -> 3(1(3(3(0(5(4(2(4(1(2(3(5(0(3(4(5(2(4(3(x1)))))))))))))))))))) 4(5(1(4(5(3(1(5(5(3(5(0(2(1(2(4(4(5(1(0(4(x1))))))))))))))))))))) -> 4(4(0(2(1(5(2(0(4(5(2(2(3(5(5(2(2(0(3(5(4(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_5(x_1)) -> 5(encArg(x_1)) encArg(cons_4(x_1)) -> 4(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: 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. "[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] {(150,151,[0_1|0, 1_1|0, 2_1|0, 5_1|0, 4_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, 5_1|1, 4_1|1, 3_1|1]), (150,153,[0_1|2]), (150,156,[0_1|2]), (150,161,[0_1|2]), (150,169,[5_1|2]), (150,173,[4_1|2]), (150,178,[4_1|2]), (150,190,[5_1|2]), (150,194,[3_1|2]), (150,211,[5_1|2]), (150,221,[3_1|2]), (150,225,[5_1|2]), (150,242,[2_1|2]), (150,247,[5_1|2]), (150,263,[4_1|2]), (150,273,[2_1|2]), (150,289,[2_1|2]), (150,306,[5_1|2]), (150,310,[4_1|2]), (150,316,[4_1|2]), (150,322,[4_1|2]), (150,330,[4_1|2]), (150,350,[4_1|2]), (150,361,[3_1|2]), (150,370,[3_1|2]), (150,389,[3_1|2]), (151,151,[cons_0_1|0, cons_1_1|0, cons_2_1|0, cons_5_1|0, cons_4_1|0, cons_3_1|0]), (152,151,[encArg_1|1]), (152,152,[0_1|1, 1_1|1, 2_1|1, 5_1|1, 4_1|1, 3_1|1]), (152,153,[0_1|2]), (152,156,[0_1|2]), (152,161,[0_1|2]), (152,169,[5_1|2]), (152,173,[4_1|2]), (152,178,[4_1|2]), (152,190,[5_1|2]), (152,194,[3_1|2]), (152,211,[5_1|2]), (152,221,[3_1|2]), (152,225,[5_1|2]), (152,242,[2_1|2]), (152,247,[5_1|2]), (152,263,[4_1|2]), (152,273,[2_1|2]), (152,289,[2_1|2]), (152,306,[5_1|2]), (152,310,[4_1|2]), (152,316,[4_1|2]), (152,322,[4_1|2]), (152,330,[4_1|2]), (152,350,[4_1|2]), (152,361,[3_1|2]), (152,370,[3_1|2]), (152,389,[3_1|2]), (153,154,[2_1|2]), (153,247,[5_1|2]), (154,155,[2_1|2]), (154,221,[3_1|2]), (154,225,[5_1|2]), (155,152,[3_1|2]), (155,194,[3_1|2]), (155,221,[3_1|2]), (155,361,[3_1|2]), (155,370,[3_1|2]), (155,389,[3_1|2]), (155,243,[3_1|2]), (156,157,[3_1|2]), (157,158,[2_1|2]), (158,159,[2_1|2]), (158,263,[4_1|2]), (159,160,[4_1|2]), (159,322,[4_1|2]), (159,330,[4_1|2]), (160,152,[5_1|2]), (160,173,[5_1|2]), (160,178,[5_1|2]), (160,263,[5_1|2]), (160,310,[5_1|2]), (160,316,[5_1|2]), (160,322,[5_1|2]), (160,330,[5_1|2]), (160,350,[5_1|2]), (160,306,[5_1|2]), (161,162,[5_1|2]), (162,163,[4_1|2]), (163,164,[0_1|2]), (164,165,[5_1|2]), (165,166,[3_1|2]), (166,167,[5_1|2]), (167,168,[5_1|2]), (168,152,[3_1|2]), (168,194,[3_1|2]), (168,221,[3_1|2]), (168,361,[3_1|2]), (168,370,[3_1|2]), (168,389,[3_1|2]), (168,362,[3_1|2]), (169,170,[1_1|2]), (170,171,[0_1|2]), (171,172,[0_1|2]), (172,152,[5_1|2]), (172,169,[5_1|2]), (172,190,[5_1|2]), (172,211,[5_1|2]), (172,225,[5_1|2]), (172,247,[5_1|2]), (172,306,[5_1|2]), (173,174,[2_1|2]), (174,175,[5_1|2]), (175,176,[4_1|2]), (175,322,[4_1|2]), (176,177,[5_1|2]), (177,152,[3_1|2]), (177,194,[3_1|2]), (177,221,[3_1|2]), (177,361,[3_1|2]), (177,370,[3_1|2]), (177,389,[3_1|2]), (177,157,[3_1|2]), (178,179,[4_1|2]), (179,180,[4_1|2]), (180,181,[3_1|2]), (181,182,[2_1|2]), (182,183,[0_1|2]), (183,184,[1_1|2]), (184,185,[3_1|2]), (185,186,[1_1|2]), (186,187,[2_1|2]), (187,188,[2_1|2]), (187,263,[4_1|2]), (188,189,[4_1|2]), (188,322,[4_1|2]), (188,330,[4_1|2]), (189,152,[5_1|2]), (189,242,[5_1|2]), (189,273,[5_1|2]), (189,289,[5_1|2]), (189,371,[5_1|2]), (189,158,[5_1|2]), (189,306,[5_1|2]), (190,191,[0_1|2]), (191,192,[1_1|2]), (192,193,[1_1|2]), (192,169,[5_1|2]), (193,152,[1_1|2]), (193,194,[1_1|2, 3_1|2]), (193,221,[1_1|2]), (193,361,[1_1|2]), (193,370,[1_1|2]), (193,389,[1_1|2]), (193,169,[5_1|2]), (193,173,[4_1|2]), (193,178,[4_1|2]), (193,190,[5_1|2]), (193,211,[5_1|2]), (194,195,[5_1|2]), (195,196,[4_1|2]), (196,197,[2_1|2]), (197,198,[0_1|2]), (198,199,[5_1|2]), (199,200,[1_1|2]), (200,201,[3_1|2]), (201,202,[4_1|2]), (202,203,[1_1|2]), (203,204,[1_1|2]), (204,205,[2_1|2]), (205,206,[5_1|2]), (206,207,[2_1|2]), (207,208,[4_1|2]), (208,209,[1_1|2]), (208,190,[5_1|2]), (209,210,[5_1|2]), (210,152,[2_1|2]), (210,242,[2_1|2]), (210,273,[2_1|2]), (210,289,[2_1|2]), (210,226,[2_1|2]), (210,221,[3_1|2]), (210,225,[5_1|2]), (210,247,[5_1|2]), (210,263,[4_1|2]), (211,212,[3_1|2]), (212,213,[3_1|2]), (213,214,[1_1|2]), (214,215,[2_1|2]), (215,216,[1_1|2]), (216,217,[1_1|2]), (217,218,[0_1|2]), (218,219,[3_1|2]), (219,220,[1_1|2]), (220,152,[3_1|2]), (220,153,[3_1|2]), (220,156,[3_1|2]), (220,161,[3_1|2]), (220,361,[3_1|2]), (220,370,[3_1|2]), (220,389,[3_1|2]), (221,222,[5_1|2]), (222,223,[4_1|2]), (223,224,[5_1|2]), (224,152,[5_1|2]), (224,169,[5_1|2]), (224,190,[5_1|2]), (224,211,[5_1|2]), (224,225,[5_1|2]), (224,247,[5_1|2]), (224,306,[5_1|2]), (225,226,[2_1|2]), (226,227,[0_1|2]), (227,228,[2_1|2]), (228,229,[0_1|2]), (229,230,[3_1|2]), (230,231,[2_1|2]), (231,232,[3_1|2]), (232,233,[5_1|2]), (233,234,[2_1|2]), (234,235,[2_1|2]), (235,236,[4_1|2]), (236,237,[1_1|2]), (237,238,[3_1|2]), (238,239,[5_1|2]), (239,240,[5_1|2]), (240,241,[1_1|2]), (240,173,[4_1|2]), (240,178,[4_1|2]), (241,152,[2_1|2]), (241,242,[2_1|2]), (241,273,[2_1|2]), (241,289,[2_1|2]), (241,174,[2_1|2]), (241,221,[3_1|2]), (241,225,[5_1|2]), (241,247,[5_1|2]), (241,263,[4_1|2]), (242,243,[3_1|2]), (243,244,[5_1|2]), (244,245,[4_1|2]), (245,246,[0_1|2]), (246,152,[3_1|2]), (246,153,[3_1|2]), (246,156,[3_1|2]), (246,161,[3_1|2]), (246,361,[3_1|2]), (246,370,[3_1|2]), (246,389,[3_1|2]), (247,248,[5_1|2]), (248,249,[5_1|2]), (249,250,[2_1|2]), (250,251,[0_1|2]), (251,252,[2_1|2]), (252,253,[5_1|2]), (253,254,[0_1|2]), (254,255,[0_1|2]), (255,256,[4_1|2]), (256,257,[3_1|2]), (257,258,[2_1|2]), (258,259,[1_1|2]), (259,260,[4_1|2]), (260,261,[3_1|2]), (261,262,[3_1|2]), (262,152,[1_1|2]), (262,390,[1_1|2]), (262,169,[5_1|2]), (262,173,[4_1|2]), (262,178,[4_1|2]), (262,190,[5_1|2]), (262,194,[3_1|2]), (262,211,[5_1|2]), (263,264,[1_1|2]), (264,265,[0_1|2]), (265,266,[1_1|2]), (266,267,[1_1|2]), (267,268,[3_1|2]), (268,269,[3_1|2]), (269,270,[0_1|2]), (270,271,[1_1|2]), (271,272,[4_1|2]), (272,152,[2_1|2]), (272,242,[2_1|2]), (272,273,[2_1|2]), (272,289,[2_1|2]), (272,174,[2_1|2]), (272,221,[3_1|2]), (272,225,[5_1|2]), (272,247,[5_1|2]), (272,263,[4_1|2]), (273,274,[1_1|2]), (274,275,[3_1|2]), (275,276,[0_1|2]), (276,277,[4_1|2]), (277,278,[4_1|2]), (278,279,[1_1|2]), (279,280,[5_1|2]), (280,281,[2_1|2]), (281,282,[1_1|2]), (282,283,[0_1|2]), (283,284,[3_1|2]), (284,285,[0_1|2]), (285,286,[5_1|2]), (286,287,[0_1|2]), (287,288,[1_1|2]), (287,190,[5_1|2]), (287,194,[3_1|2]), (288,152,[5_1|2]), (288,153,[5_1|2]), (288,156,[5_1|2]), (288,161,[5_1|2]), (288,306,[5_1|2]), (289,290,[1_1|2]), (290,291,[5_1|2]), (291,292,[0_1|2]), (292,293,[0_1|2]), (293,294,[1_1|2]), (294,295,[5_1|2]), (295,296,[2_1|2]), (296,297,[2_1|2]), (297,298,[2_1|2]), (298,299,[3_1|2]), (299,300,[1_1|2]), (300,301,[0_1|2]), (301,302,[5_1|2]), (302,303,[0_1|2]), (303,304,[4_1|2]), (304,305,[3_1|2]), (304,361,[3_1|2]), (305,152,[3_1|2]), (305,242,[3_1|2]), (305,273,[3_1|2]), (305,289,[3_1|2]), (305,371,[3_1|2]), (305,361,[3_1|2]), (305,370,[3_1|2]), (305,389,[3_1|2]), (306,307,[1_1|2]), (307,308,[4_1|2]), (307,322,[4_1|2]), (308,309,[5_1|2]), (309,152,[3_1|2]), (309,194,[3_1|2]), (309,221,[3_1|2]), (309,361,[3_1|2]), (309,370,[3_1|2]), (309,389,[3_1|2]), (309,212,[3_1|2]), (310,311,[1_1|2]), (311,312,[3_1|2]), (312,313,[0_1|2]), (313,314,[5_1|2]), (314,315,[0_1|2]), (315,152,[5_1|2]), (315,173,[5_1|2]), (315,178,[5_1|2]), (315,263,[5_1|2]), (315,310,[5_1|2]), (315,316,[5_1|2]), (315,322,[5_1|2]), (315,330,[5_1|2]), (315,350,[5_1|2]), (315,179,[5_1|2]), (315,323,[5_1|2]), (315,331,[5_1|2]), (315,306,[5_1|2]), (316,317,[1_1|2]), (317,318,[2_1|2]), (318,319,[3_1|2]), (319,320,[4_1|2]), (320,321,[1_1|2]), (321,152,[4_1|2]), (321,242,[4_1|2]), (321,273,[4_1|2]), (321,289,[4_1|2]), (321,310,[4_1|2]), (321,316,[4_1|2]), (321,322,[4_1|2]), (321,330,[4_1|2]), (321,350,[4_1|2]), (322,323,[4_1|2]), (323,324,[3_1|2]), (324,325,[1_1|2]), (325,326,[3_1|2]), (326,327,[2_1|2]), (327,328,[0_1|2]), (328,329,[5_1|2]), (329,152,[2_1|2]), (329,242,[2_1|2]), (329,273,[2_1|2]), (329,289,[2_1|2]), (329,226,[2_1|2]), (329,221,[3_1|2]), (329,225,[5_1|2]), (329,247,[5_1|2]), (329,263,[4_1|2]), (330,331,[4_1|2]), (331,332,[0_1|2]), (332,333,[2_1|2]), (333,334,[1_1|2]), (334,335,[5_1|2]), (335,336,[2_1|2]), (336,337,[0_1|2]), (337,338,[4_1|2]), (338,339,[5_1|2]), (339,340,[2_1|2]), (340,341,[2_1|2]), (341,342,[3_1|2]), (342,343,[5_1|2]), (343,344,[5_1|2]), (344,345,[2_1|2]), (345,346,[2_1|2]), (346,347,[0_1|2]), (347,348,[3_1|2]), (348,349,[5_1|2]), (349,152,[4_1|2]), (349,173,[4_1|2]), (349,178,[4_1|2]), (349,263,[4_1|2]), (349,310,[4_1|2]), (349,316,[4_1|2]), (349,322,[4_1|2]), (349,330,[4_1|2]), (349,350,[4_1|2]), (350,351,[1_1|2]), (351,352,[4_1|2]), (352,353,[3_1|2]), (353,354,[4_1|2]), (354,355,[4_1|2]), (355,356,[0_1|2]), (356,357,[1_1|2]), (357,358,[3_1|2]), (358,359,[1_1|2]), (359,360,[1_1|2]), (359,190,[5_1|2]), (359,194,[3_1|2]), (360,152,[5_1|2]), (360,153,[5_1|2]), (360,156,[5_1|2]), (360,161,[5_1|2]), (360,306,[5_1|2]), (361,362,[3_1|2]), (362,363,[4_1|2]), (363,364,[1_1|2]), (364,365,[5_1|2]), (365,366,[0_1|2]), (366,367,[3_1|2]), (367,368,[0_1|2]), (368,369,[2_1|2]), (368,263,[4_1|2]), (368,273,[2_1|2]), (369,152,[4_1|2]), (369,242,[4_1|2]), (369,273,[4_1|2]), (369,289,[4_1|2]), (369,226,[4_1|2]), (369,310,[4_1|2]), (369,316,[4_1|2]), (369,322,[4_1|2]), (369,330,[4_1|2]), (369,350,[4_1|2]), (370,371,[2_1|2]), (371,372,[0_1|2]), (372,373,[1_1|2]), (373,374,[5_1|2]), (374,375,[0_1|2]), (375,376,[1_1|2]), (376,377,[5_1|2]), (377,378,[5_1|2]), (378,379,[1_1|2]), (379,380,[2_1|2]), (380,381,[3_1|2]), (381,382,[0_1|2]), (382,383,[2_1|2]), (383,384,[4_1|2]), (384,385,[2_1|2]), (385,386,[5_1|2]), (386,387,[2_1|2]), (387,388,[2_1|2]), (387,263,[4_1|2]), (387,273,[2_1|2]), (388,152,[4_1|2]), (388,173,[4_1|2]), (388,178,[4_1|2]), (388,263,[4_1|2]), (388,310,[4_1|2]), (388,316,[4_1|2]), (388,322,[4_1|2]), (388,330,[4_1|2]), (388,350,[4_1|2]), (389,390,[1_1|2]), (390,391,[3_1|2]), (391,392,[3_1|2]), (392,393,[0_1|2]), (393,394,[5_1|2]), (394,395,[4_1|2]), (395,396,[2_1|2]), (396,397,[4_1|2]), (397,398,[1_1|2]), (398,399,[2_1|2]), (399,400,[3_1|2]), (400,401,[5_1|2]), (401,402,[0_1|2]), (402,403,[3_1|2]), (403,404,[4_1|2]), (404,405,[5_1|2]), (405,406,[2_1|2]), (405,273,[2_1|2]), (406,407,[4_1|2]), (406,316,[4_1|2]), (407,152,[3_1|2]), (407,194,[3_1|2]), (407,221,[3_1|2]), (407,361,[3_1|2]), (407,370,[3_1|2]), (407,389,[3_1|2]), (407,243,[3_1|2])}" ---------------------------------------- (8) BOUNDS(1, n^1)