/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# AProVE Commit ID: 794c25de1cacf0d048858bcd21c9a779e1221865 marcel 20200619 unpublished dirty The Derivational Complexity (innermost) of the given DCpxTrs could be proven to be BOUNDS(1, n^1).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), 48 ms] (4) CpxRelTRS (5) RelTrsToTrsProof [UPPER BOUND(ID), 0 ms] (6) CpxTRS (7) CpxTrsMatchBoundsProof [FINISHED, 54 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(x1))) -> 0(2(1(1(x1)))) 2(3(1(x1))) -> 3(4(2(1(x1)))) 0(1(2(0(x1)))) -> 0(0(2(1(1(x1))))) 0(1(2(0(x1)))) -> 0(2(1(1(0(x1))))) 0(1(2(1(x1)))) -> 0(2(1(1(1(x1))))) 0(1(2(4(x1)))) -> 4(0(2(1(1(x1))))) 0(1(2(5(x1)))) -> 0(2(5(1(1(x1))))) 0(1(2(5(x1)))) -> 0(4(2(1(5(x1))))) 0(1(3(1(x1)))) -> 0(0(3(1(1(x1))))) 0(1(3(1(x1)))) -> 3(0(2(1(1(1(x1)))))) 0(1(4(1(x1)))) -> 4(0(1(1(1(x1))))) 0(1(4(5(x1)))) -> 0(4(1(1(5(x1))))) 0(2(0(1(x1)))) -> 0(0(2(4(1(x1))))) 0(5(3(1(x1)))) -> 5(0(3(1(1(1(x1)))))) 0(5(3(2(x1)))) -> 0(3(4(2(5(x1))))) 2(3(2(0(x1)))) -> 2(2(1(3(0(x1))))) 2(4(5(2(x1)))) -> 2(1(4(2(5(x1))))) 3(0(1(2(x1)))) -> 3(4(0(2(1(x1))))) 4(4(3(2(x1)))) -> 4(3(4(2(1(x1))))) 4(5(3(1(x1)))) -> 3(5(4(4(1(x1))))) 4(5(3(1(x1)))) -> 4(3(1(5(1(x1))))) 4(5(3(2(x1)))) -> 3(4(2(5(4(x1))))) 4(5(3(2(x1)))) -> 3(5(4(2(1(x1))))) 0(1(0(2(2(x1))))) -> 0(0(2(1(4(2(x1)))))) 0(1(0(3(1(x1))))) -> 0(3(4(0(1(1(x1)))))) 0(1(4(5(1(x1))))) -> 4(0(2(5(1(1(x1)))))) 0(1(5(0(1(x1))))) -> 0(0(1(5(5(1(x1)))))) 0(2(3(1(3(x1))))) -> 0(3(4(2(1(3(x1)))))) 0(4(1(5(2(x1))))) -> 0(4(2(5(1(1(x1)))))) 0(5(1(3(2(x1))))) -> 3(0(2(1(1(5(x1)))))) 0(5(2(0(4(x1))))) -> 0(4(2(5(0(4(x1)))))) 0(5(3(1(5(x1))))) -> 5(0(3(4(1(5(x1)))))) 0(5(3(2(5(x1))))) -> 0(4(3(5(2(5(x1)))))) 2(0(1(3(1(x1))))) -> 1(1(4(3(0(2(x1)))))) 2(0(1(3(5(x1))))) -> 2(5(1(1(0(3(x1)))))) 2(0(1(5(3(x1))))) -> 2(1(1(3(0(5(x1)))))) 2(3(1(0(1(x1))))) -> 0(3(2(1(1(5(x1)))))) 2(3(1(4(1(x1))))) -> 3(4(2(5(1(1(x1)))))) 2(3(5(1(2(x1))))) -> 2(3(2(1(5(1(x1)))))) 3(0(1(2(0(x1))))) -> 3(4(0(2(1(0(x1)))))) 3(2(0(1(0(x1))))) -> 3(2(1(5(0(0(x1)))))) 3(2(3(5(1(x1))))) -> 3(3(4(2(1(5(x1)))))) 3(5(3(1(3(x1))))) -> 3(5(4(3(1(3(x1)))))) 4(0(3(3(1(x1))))) -> 0(3(4(3(1(1(x1)))))) 4(4(3(2(5(x1))))) -> 3(4(2(4(1(5(x1)))))) 4(5(0(5(2(x1))))) -> 0(4(2(1(5(5(x1)))))) 4(5(2(3(1(x1))))) -> 5(3(4(3(2(1(x1)))))) 4(5(2(5(2(x1))))) -> 4(2(5(5(2(1(x1)))))) 4(5(3(5(1(x1))))) -> 4(5(5(4(3(1(x1)))))) S is empty. Rewrite Strategy: INNERMOST ---------------------------------------- (1) DerivationalComplexityToRuntimeComplexityProof (BOTH BOUNDS(ID, ID)) The following rules have been added to S to convert the given derivational complexity problem to a runtime complexity problem: encArg(1(x_1)) -> 1(encArg(x_1)) encArg(5(x_1)) -> 5(encArg(x_1)) encArg(cons_0(x_1)) -> 0(encArg(x_1)) encArg(cons_2(x_1)) -> 2(encArg(x_1)) encArg(cons_3(x_1)) -> 3(encArg(x_1)) encArg(cons_4(x_1)) -> 4(encArg(x_1)) encode_0(x_1) -> 0(encArg(x_1)) encode_1(x_1) -> 1(encArg(x_1)) encode_2(x_1) -> 2(encArg(x_1)) encode_3(x_1) -> 3(encArg(x_1)) encode_4(x_1) -> 4(encArg(x_1)) encode_5(x_1) -> 5(encArg(x_1)) ---------------------------------------- (2) Obligation: The Runtime Complexity (innermost) of the given CpxRelTRS could be proven to be BOUNDS(1, n^1). The TRS R consists of the following rules: 0(1(2(x1))) -> 0(2(1(1(x1)))) 2(3(1(x1))) -> 3(4(2(1(x1)))) 0(1(2(0(x1)))) -> 0(0(2(1(1(x1))))) 0(1(2(0(x1)))) -> 0(2(1(1(0(x1))))) 0(1(2(1(x1)))) -> 0(2(1(1(1(x1))))) 0(1(2(4(x1)))) -> 4(0(2(1(1(x1))))) 0(1(2(5(x1)))) -> 0(2(5(1(1(x1))))) 0(1(2(5(x1)))) -> 0(4(2(1(5(x1))))) 0(1(3(1(x1)))) -> 0(0(3(1(1(x1))))) 0(1(3(1(x1)))) -> 3(0(2(1(1(1(x1)))))) 0(1(4(1(x1)))) -> 4(0(1(1(1(x1))))) 0(1(4(5(x1)))) -> 0(4(1(1(5(x1))))) 0(2(0(1(x1)))) -> 0(0(2(4(1(x1))))) 0(5(3(1(x1)))) -> 5(0(3(1(1(1(x1)))))) 0(5(3(2(x1)))) -> 0(3(4(2(5(x1))))) 2(3(2(0(x1)))) -> 2(2(1(3(0(x1))))) 2(4(5(2(x1)))) -> 2(1(4(2(5(x1))))) 3(0(1(2(x1)))) -> 3(4(0(2(1(x1))))) 4(4(3(2(x1)))) -> 4(3(4(2(1(x1))))) 4(5(3(1(x1)))) -> 3(5(4(4(1(x1))))) 4(5(3(1(x1)))) -> 4(3(1(5(1(x1))))) 4(5(3(2(x1)))) -> 3(4(2(5(4(x1))))) 4(5(3(2(x1)))) -> 3(5(4(2(1(x1))))) 0(1(0(2(2(x1))))) -> 0(0(2(1(4(2(x1)))))) 0(1(0(3(1(x1))))) -> 0(3(4(0(1(1(x1)))))) 0(1(4(5(1(x1))))) -> 4(0(2(5(1(1(x1)))))) 0(1(5(0(1(x1))))) -> 0(0(1(5(5(1(x1)))))) 0(2(3(1(3(x1))))) -> 0(3(4(2(1(3(x1)))))) 0(4(1(5(2(x1))))) -> 0(4(2(5(1(1(x1)))))) 0(5(1(3(2(x1))))) -> 3(0(2(1(1(5(x1)))))) 0(5(2(0(4(x1))))) -> 0(4(2(5(0(4(x1)))))) 0(5(3(1(5(x1))))) -> 5(0(3(4(1(5(x1)))))) 0(5(3(2(5(x1))))) -> 0(4(3(5(2(5(x1)))))) 2(0(1(3(1(x1))))) -> 1(1(4(3(0(2(x1)))))) 2(0(1(3(5(x1))))) -> 2(5(1(1(0(3(x1)))))) 2(0(1(5(3(x1))))) -> 2(1(1(3(0(5(x1)))))) 2(3(1(0(1(x1))))) -> 0(3(2(1(1(5(x1)))))) 2(3(1(4(1(x1))))) -> 3(4(2(5(1(1(x1)))))) 2(3(5(1(2(x1))))) -> 2(3(2(1(5(1(x1)))))) 3(0(1(2(0(x1))))) -> 3(4(0(2(1(0(x1)))))) 3(2(0(1(0(x1))))) -> 3(2(1(5(0(0(x1)))))) 3(2(3(5(1(x1))))) -> 3(3(4(2(1(5(x1)))))) 3(5(3(1(3(x1))))) -> 3(5(4(3(1(3(x1)))))) 4(0(3(3(1(x1))))) -> 0(3(4(3(1(1(x1)))))) 4(4(3(2(5(x1))))) -> 3(4(2(4(1(5(x1)))))) 4(5(0(5(2(x1))))) -> 0(4(2(1(5(5(x1)))))) 4(5(2(3(1(x1))))) -> 5(3(4(3(2(1(x1)))))) 4(5(2(5(2(x1))))) -> 4(2(5(5(2(1(x1)))))) 4(5(3(5(1(x1))))) -> 4(5(5(4(3(1(x1)))))) The (relative) TRS S consists of the following rules: encArg(1(x_1)) -> 1(encArg(x_1)) encArg(5(x_1)) -> 5(encArg(x_1)) encArg(cons_0(x_1)) -> 0(encArg(x_1)) encArg(cons_2(x_1)) -> 2(encArg(x_1)) encArg(cons_3(x_1)) -> 3(encArg(x_1)) encArg(cons_4(x_1)) -> 4(encArg(x_1)) encode_0(x_1) -> 0(encArg(x_1)) encode_1(x_1) -> 1(encArg(x_1)) encode_2(x_1) -> 2(encArg(x_1)) encode_3(x_1) -> 3(encArg(x_1)) encode_4(x_1) -> 4(encArg(x_1)) encode_5(x_1) -> 5(encArg(x_1)) Rewrite Strategy: INNERMOST ---------------------------------------- (3) SInnermostTerminationProof (BOTH CONCRETE BOUNDS(ID, ID)) proved innermost termination of relative rules ---------------------------------------- (4) Obligation: The Runtime Complexity (innermost) of the given CpxRelTRS could be proven to be BOUNDS(1, n^1). The TRS R consists of the following rules: 0(1(2(x1))) -> 0(2(1(1(x1)))) 2(3(1(x1))) -> 3(4(2(1(x1)))) 0(1(2(0(x1)))) -> 0(0(2(1(1(x1))))) 0(1(2(0(x1)))) -> 0(2(1(1(0(x1))))) 0(1(2(1(x1)))) -> 0(2(1(1(1(x1))))) 0(1(2(4(x1)))) -> 4(0(2(1(1(x1))))) 0(1(2(5(x1)))) -> 0(2(5(1(1(x1))))) 0(1(2(5(x1)))) -> 0(4(2(1(5(x1))))) 0(1(3(1(x1)))) -> 0(0(3(1(1(x1))))) 0(1(3(1(x1)))) -> 3(0(2(1(1(1(x1)))))) 0(1(4(1(x1)))) -> 4(0(1(1(1(x1))))) 0(1(4(5(x1)))) -> 0(4(1(1(5(x1))))) 0(2(0(1(x1)))) -> 0(0(2(4(1(x1))))) 0(5(3(1(x1)))) -> 5(0(3(1(1(1(x1)))))) 0(5(3(2(x1)))) -> 0(3(4(2(5(x1))))) 2(3(2(0(x1)))) -> 2(2(1(3(0(x1))))) 2(4(5(2(x1)))) -> 2(1(4(2(5(x1))))) 3(0(1(2(x1)))) -> 3(4(0(2(1(x1))))) 4(4(3(2(x1)))) -> 4(3(4(2(1(x1))))) 4(5(3(1(x1)))) -> 3(5(4(4(1(x1))))) 4(5(3(1(x1)))) -> 4(3(1(5(1(x1))))) 4(5(3(2(x1)))) -> 3(4(2(5(4(x1))))) 4(5(3(2(x1)))) -> 3(5(4(2(1(x1))))) 0(1(0(2(2(x1))))) -> 0(0(2(1(4(2(x1)))))) 0(1(0(3(1(x1))))) -> 0(3(4(0(1(1(x1)))))) 0(1(4(5(1(x1))))) -> 4(0(2(5(1(1(x1)))))) 0(1(5(0(1(x1))))) -> 0(0(1(5(5(1(x1)))))) 0(2(3(1(3(x1))))) -> 0(3(4(2(1(3(x1)))))) 0(4(1(5(2(x1))))) -> 0(4(2(5(1(1(x1)))))) 0(5(1(3(2(x1))))) -> 3(0(2(1(1(5(x1)))))) 0(5(2(0(4(x1))))) -> 0(4(2(5(0(4(x1)))))) 0(5(3(1(5(x1))))) -> 5(0(3(4(1(5(x1)))))) 0(5(3(2(5(x1))))) -> 0(4(3(5(2(5(x1)))))) 2(0(1(3(1(x1))))) -> 1(1(4(3(0(2(x1)))))) 2(0(1(3(5(x1))))) -> 2(5(1(1(0(3(x1)))))) 2(0(1(5(3(x1))))) -> 2(1(1(3(0(5(x1)))))) 2(3(1(0(1(x1))))) -> 0(3(2(1(1(5(x1)))))) 2(3(1(4(1(x1))))) -> 3(4(2(5(1(1(x1)))))) 2(3(5(1(2(x1))))) -> 2(3(2(1(5(1(x1)))))) 3(0(1(2(0(x1))))) -> 3(4(0(2(1(0(x1)))))) 3(2(0(1(0(x1))))) -> 3(2(1(5(0(0(x1)))))) 3(2(3(5(1(x1))))) -> 3(3(4(2(1(5(x1)))))) 3(5(3(1(3(x1))))) -> 3(5(4(3(1(3(x1)))))) 4(0(3(3(1(x1))))) -> 0(3(4(3(1(1(x1)))))) 4(4(3(2(5(x1))))) -> 3(4(2(4(1(5(x1)))))) 4(5(0(5(2(x1))))) -> 0(4(2(1(5(5(x1)))))) 4(5(2(3(1(x1))))) -> 5(3(4(3(2(1(x1)))))) 4(5(2(5(2(x1))))) -> 4(2(5(5(2(1(x1)))))) 4(5(3(5(1(x1))))) -> 4(5(5(4(3(1(x1)))))) The (relative) TRS S consists of the following rules: encArg(1(x_1)) -> 1(encArg(x_1)) encArg(5(x_1)) -> 5(encArg(x_1)) encArg(cons_0(x_1)) -> 0(encArg(x_1)) encArg(cons_2(x_1)) -> 2(encArg(x_1)) encArg(cons_3(x_1)) -> 3(encArg(x_1)) encArg(cons_4(x_1)) -> 4(encArg(x_1)) encode_0(x_1) -> 0(encArg(x_1)) encode_1(x_1) -> 1(encArg(x_1)) encode_2(x_1) -> 2(encArg(x_1)) encode_3(x_1) -> 3(encArg(x_1)) encode_4(x_1) -> 4(encArg(x_1)) encode_5(x_1) -> 5(encArg(x_1)) Rewrite Strategy: INNERMOST ---------------------------------------- (5) RelTrsToTrsProof (UPPER BOUND(ID)) transformed relative TRS to TRS ---------------------------------------- (6) Obligation: The Runtime Complexity (innermost) of the given CpxTRS could be proven to be BOUNDS(1, n^1). The TRS R consists of the following rules: 0(1(2(x1))) -> 0(2(1(1(x1)))) 2(3(1(x1))) -> 3(4(2(1(x1)))) 0(1(2(0(x1)))) -> 0(0(2(1(1(x1))))) 0(1(2(0(x1)))) -> 0(2(1(1(0(x1))))) 0(1(2(1(x1)))) -> 0(2(1(1(1(x1))))) 0(1(2(4(x1)))) -> 4(0(2(1(1(x1))))) 0(1(2(5(x1)))) -> 0(2(5(1(1(x1))))) 0(1(2(5(x1)))) -> 0(4(2(1(5(x1))))) 0(1(3(1(x1)))) -> 0(0(3(1(1(x1))))) 0(1(3(1(x1)))) -> 3(0(2(1(1(1(x1)))))) 0(1(4(1(x1)))) -> 4(0(1(1(1(x1))))) 0(1(4(5(x1)))) -> 0(4(1(1(5(x1))))) 0(2(0(1(x1)))) -> 0(0(2(4(1(x1))))) 0(5(3(1(x1)))) -> 5(0(3(1(1(1(x1)))))) 0(5(3(2(x1)))) -> 0(3(4(2(5(x1))))) 2(3(2(0(x1)))) -> 2(2(1(3(0(x1))))) 2(4(5(2(x1)))) -> 2(1(4(2(5(x1))))) 3(0(1(2(x1)))) -> 3(4(0(2(1(x1))))) 4(4(3(2(x1)))) -> 4(3(4(2(1(x1))))) 4(5(3(1(x1)))) -> 3(5(4(4(1(x1))))) 4(5(3(1(x1)))) -> 4(3(1(5(1(x1))))) 4(5(3(2(x1)))) -> 3(4(2(5(4(x1))))) 4(5(3(2(x1)))) -> 3(5(4(2(1(x1))))) 0(1(0(2(2(x1))))) -> 0(0(2(1(4(2(x1)))))) 0(1(0(3(1(x1))))) -> 0(3(4(0(1(1(x1)))))) 0(1(4(5(1(x1))))) -> 4(0(2(5(1(1(x1)))))) 0(1(5(0(1(x1))))) -> 0(0(1(5(5(1(x1)))))) 0(2(3(1(3(x1))))) -> 0(3(4(2(1(3(x1)))))) 0(4(1(5(2(x1))))) -> 0(4(2(5(1(1(x1)))))) 0(5(1(3(2(x1))))) -> 3(0(2(1(1(5(x1)))))) 0(5(2(0(4(x1))))) -> 0(4(2(5(0(4(x1)))))) 0(5(3(1(5(x1))))) -> 5(0(3(4(1(5(x1)))))) 0(5(3(2(5(x1))))) -> 0(4(3(5(2(5(x1)))))) 2(0(1(3(1(x1))))) -> 1(1(4(3(0(2(x1)))))) 2(0(1(3(5(x1))))) -> 2(5(1(1(0(3(x1)))))) 2(0(1(5(3(x1))))) -> 2(1(1(3(0(5(x1)))))) 2(3(1(0(1(x1))))) -> 0(3(2(1(1(5(x1)))))) 2(3(1(4(1(x1))))) -> 3(4(2(5(1(1(x1)))))) 2(3(5(1(2(x1))))) -> 2(3(2(1(5(1(x1)))))) 3(0(1(2(0(x1))))) -> 3(4(0(2(1(0(x1)))))) 3(2(0(1(0(x1))))) -> 3(2(1(5(0(0(x1)))))) 3(2(3(5(1(x1))))) -> 3(3(4(2(1(5(x1)))))) 3(5(3(1(3(x1))))) -> 3(5(4(3(1(3(x1)))))) 4(0(3(3(1(x1))))) -> 0(3(4(3(1(1(x1)))))) 4(4(3(2(5(x1))))) -> 3(4(2(4(1(5(x1)))))) 4(5(0(5(2(x1))))) -> 0(4(2(1(5(5(x1)))))) 4(5(2(3(1(x1))))) -> 5(3(4(3(2(1(x1)))))) 4(5(2(5(2(x1))))) -> 4(2(5(5(2(1(x1)))))) 4(5(3(5(1(x1))))) -> 4(5(5(4(3(1(x1)))))) encArg(1(x_1)) -> 1(encArg(x_1)) encArg(5(x_1)) -> 5(encArg(x_1)) encArg(cons_0(x_1)) -> 0(encArg(x_1)) encArg(cons_2(x_1)) -> 2(encArg(x_1)) encArg(cons_3(x_1)) -> 3(encArg(x_1)) encArg(cons_4(x_1)) -> 4(encArg(x_1)) encode_0(x_1) -> 0(encArg(x_1)) encode_1(x_1) -> 1(encArg(x_1)) encode_2(x_1) -> 2(encArg(x_1)) encode_3(x_1) -> 3(encArg(x_1)) encode_4(x_1) -> 4(encArg(x_1)) encode_5(x_1) -> 5(encArg(x_1)) S is empty. Rewrite Strategy: INNERMOST ---------------------------------------- (7) CpxTrsMatchBoundsProof (FINISHED) A linear upper bound on the runtime complexity of the TRS R could be shown with a Match Bound [MATCHBOUNDS1,MATCHBOUNDS2] of 3. The certificate found is represented by the following graph. "[93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 254, 255, 256, 257, 258, 259, 260, 261, 262, 263, 264, 265, 266, 267, 268, 269, 270, 271, 272, 273, 274, 275, 276, 277, 278, 279, 280, 281, 282, 283, 284, 285, 286, 287, 288, 289, 290, 291, 292, 293, 294, 295, 296, 297, 298, 299, 300, 301, 302, 303, 304, 305, 306, 307, 308, 309, 310, 311, 312, 313, 314, 315, 316, 317, 318, 319, 320, 321] {(93,94,[0_1|0, 2_1|0, 3_1|0, 4_1|0, encArg_1|0, encode_0_1|0, encode_1_1|0, encode_2_1|0, encode_3_1|0, encode_4_1|0, encode_5_1|0]), (93,95,[1_1|1, 5_1|1, 0_1|1, 2_1|1, 3_1|1, 4_1|1]), (93,96,[0_1|2]), (93,99,[0_1|2]), (93,103,[0_1|2]), (93,107,[0_1|2]), (93,111,[4_1|2]), (93,115,[0_1|2]), (93,119,[0_1|2]), (93,123,[0_1|2]), (93,127,[3_1|2]), (93,132,[4_1|2]), (93,136,[0_1|2]), (93,140,[4_1|2]), (93,145,[0_1|2]), (93,150,[0_1|2]), (93,155,[0_1|2]), (93,160,[0_1|2]), (93,164,[0_1|2]), (93,169,[5_1|2]), (93,174,[5_1|2]), (93,179,[0_1|2]), (93,183,[0_1|2]), (93,188,[3_1|2]), (93,193,[0_1|2]), (93,198,[0_1|2]), (93,203,[3_1|2]), (93,206,[0_1|2]), (93,211,[3_1|2]), (93,216,[2_1|2]), (93,220,[2_1|2]), (93,225,[2_1|2]), (93,229,[1_1|2]), (93,234,[2_1|2]), (93,239,[2_1|2]), (93,244,[3_1|2]), (93,248,[3_1|2]), (93,253,[3_1|2]), (93,258,[3_1|2]), (93,263,[3_1|2]), (93,268,[4_1|2]), (93,272,[3_1|2]), (93,277,[3_1|2]), (93,281,[4_1|2]), (93,285,[3_1|2]), (93,289,[3_1|2]), (93,293,[4_1|2]), (93,298,[0_1|2]), (93,303,[5_1|2]), (93,308,[4_1|2]), (93,313,[0_1|2]), (94,94,[1_1|0, 5_1|0, cons_0_1|0, cons_2_1|0, cons_3_1|0, cons_4_1|0]), (95,94,[encArg_1|1]), (95,95,[1_1|1, 5_1|1, 0_1|1, 2_1|1, 3_1|1, 4_1|1]), (95,96,[0_1|2]), (95,99,[0_1|2]), (95,103,[0_1|2]), (95,107,[0_1|2]), (95,111,[4_1|2]), (95,115,[0_1|2]), (95,119,[0_1|2]), (95,123,[0_1|2]), (95,127,[3_1|2]), (95,132,[4_1|2]), (95,136,[0_1|2]), (95,140,[4_1|2]), (95,145,[0_1|2]), (95,150,[0_1|2]), (95,155,[0_1|2]), (95,160,[0_1|2]), (95,164,[0_1|2]), (95,169,[5_1|2]), (95,174,[5_1|2]), (95,179,[0_1|2]), (95,183,[0_1|2]), (95,188,[3_1|2]), (95,193,[0_1|2]), (95,198,[0_1|2]), (95,203,[3_1|2]), (95,206,[0_1|2]), (95,211,[3_1|2]), (95,216,[2_1|2]), (95,220,[2_1|2]), (95,225,[2_1|2]), (95,229,[1_1|2]), (95,234,[2_1|2]), (95,239,[2_1|2]), (95,244,[3_1|2]), (95,248,[3_1|2]), (95,253,[3_1|2]), (95,258,[3_1|2]), (95,263,[3_1|2]), (95,268,[4_1|2]), (95,272,[3_1|2]), (95,277,[3_1|2]), (95,281,[4_1|2]), (95,285,[3_1|2]), (95,289,[3_1|2]), (95,293,[4_1|2]), (95,298,[0_1|2]), (95,303,[5_1|2]), (95,308,[4_1|2]), (95,313,[0_1|2]), (96,97,[2_1|2]), (97,98,[1_1|2]), (98,95,[1_1|2]), (98,216,[1_1|2]), (98,220,[1_1|2]), (98,225,[1_1|2]), (98,234,[1_1|2]), (98,239,[1_1|2]), (99,100,[0_1|2]), (100,101,[2_1|2]), (101,102,[1_1|2]), (102,95,[1_1|2]), (102,96,[1_1|2]), (102,99,[1_1|2]), (102,103,[1_1|2]), (102,107,[1_1|2]), (102,115,[1_1|2]), (102,119,[1_1|2]), (102,123,[1_1|2]), (102,136,[1_1|2]), (102,145,[1_1|2]), (102,150,[1_1|2]), (102,155,[1_1|2]), (102,160,[1_1|2]), (102,164,[1_1|2]), (102,179,[1_1|2]), (102,183,[1_1|2]), (102,193,[1_1|2]), (102,198,[1_1|2]), (102,206,[1_1|2]), (102,298,[1_1|2]), (102,313,[1_1|2]), (103,104,[2_1|2]), (104,105,[1_1|2]), (105,106,[1_1|2]), (106,95,[0_1|2]), (106,96,[0_1|2]), (106,99,[0_1|2]), (106,103,[0_1|2]), (106,107,[0_1|2]), (106,115,[0_1|2]), (106,119,[0_1|2]), (106,123,[0_1|2]), (106,136,[0_1|2]), (106,145,[0_1|2]), (106,150,[0_1|2]), (106,155,[0_1|2]), (106,160,[0_1|2]), (106,164,[0_1|2]), (106,179,[0_1|2]), (106,183,[0_1|2]), (106,193,[0_1|2]), (106,198,[0_1|2]), (106,206,[0_1|2]), (106,298,[0_1|2]), (106,313,[0_1|2]), (106,111,[4_1|2]), (106,127,[3_1|2]), (106,132,[4_1|2]), (106,140,[4_1|2]), (106,169,[5_1|2]), (106,174,[5_1|2]), (106,188,[3_1|2]), (107,108,[2_1|2]), (108,109,[1_1|2]), (109,110,[1_1|2]), (110,95,[1_1|2]), (110,229,[1_1|2]), (110,226,[1_1|2]), (110,240,[1_1|2]), (111,112,[0_1|2]), (112,113,[2_1|2]), (113,114,[1_1|2]), (114,95,[1_1|2]), (114,111,[1_1|2]), (114,132,[1_1|2]), (114,140,[1_1|2]), (114,268,[1_1|2]), (114,281,[1_1|2]), (114,293,[1_1|2]), (114,308,[1_1|2]), (115,116,[2_1|2]), (116,117,[5_1|2]), (117,118,[1_1|2]), (118,95,[1_1|2]), (118,169,[1_1|2]), (118,174,[1_1|2]), (118,303,[1_1|2]), (118,235,[1_1|2]), (119,120,[4_1|2]), (120,121,[2_1|2]), (121,122,[1_1|2]), (122,95,[5_1|2]), (122,169,[5_1|2]), (122,174,[5_1|2]), (122,303,[5_1|2]), (122,235,[5_1|2]), (123,124,[0_1|2]), (124,125,[3_1|2]), (125,126,[1_1|2]), (126,95,[1_1|2]), (126,229,[1_1|2]), (127,128,[0_1|2]), (128,129,[2_1|2]), (129,130,[1_1|2]), (130,131,[1_1|2]), (131,95,[1_1|2]), (131,229,[1_1|2]), (132,133,[0_1|2]), (133,134,[1_1|2]), (134,135,[1_1|2]), (135,95,[1_1|2]), (135,229,[1_1|2]), (136,137,[4_1|2]), (137,138,[1_1|2]), (138,139,[1_1|2]), (139,95,[5_1|2]), (139,169,[5_1|2]), (139,174,[5_1|2]), (139,303,[5_1|2]), (139,294,[5_1|2]), (140,141,[0_1|2]), (141,142,[2_1|2]), (142,143,[5_1|2]), (143,144,[1_1|2]), (144,95,[1_1|2]), (144,229,[1_1|2]), (145,146,[0_1|2]), (146,147,[2_1|2]), (147,148,[1_1|2]), (148,149,[4_1|2]), (149,95,[2_1|2]), (149,216,[2_1|2]), (149,220,[2_1|2]), (149,225,[2_1|2]), (149,234,[2_1|2]), (149,239,[2_1|2]), (149,217,[2_1|2]), (149,203,[3_1|2]), (149,206,[0_1|2]), (149,211,[3_1|2]), (149,229,[1_1|2]), (150,151,[3_1|2]), (151,152,[4_1|2]), (152,153,[0_1|2]), (153,154,[1_1|2]), (154,95,[1_1|2]), (154,229,[1_1|2]), (155,156,[0_1|2]), (156,157,[1_1|2]), (157,158,[5_1|2]), (158,159,[5_1|2]), (159,95,[1_1|2]), (159,229,[1_1|2]), (160,161,[0_1|2]), (161,162,[2_1|2]), (162,163,[4_1|2]), (163,95,[1_1|2]), (163,229,[1_1|2]), (164,165,[3_1|2]), (165,166,[4_1|2]), (166,167,[2_1|2]), (167,168,[1_1|2]), (168,95,[3_1|2]), (168,127,[3_1|2]), (168,188,[3_1|2]), (168,203,[3_1|2]), (168,211,[3_1|2]), (168,244,[3_1|2]), (168,248,[3_1|2]), (168,253,[3_1|2]), (168,258,[3_1|2]), (168,263,[3_1|2]), (168,272,[3_1|2]), (168,277,[3_1|2]), (168,285,[3_1|2]), (168,289,[3_1|2]), (169,170,[0_1|2]), (170,171,[3_1|2]), (171,172,[1_1|2]), (172,173,[1_1|2]), (173,95,[1_1|2]), (173,229,[1_1|2]), (174,175,[0_1|2]), (175,176,[3_1|2]), (176,177,[4_1|2]), (177,178,[1_1|2]), (178,95,[5_1|2]), (178,169,[5_1|2]), (178,174,[5_1|2]), (178,303,[5_1|2]), (179,180,[3_1|2]), (180,181,[4_1|2]), (181,182,[2_1|2]), (182,95,[5_1|2]), (182,216,[5_1|2]), (182,220,[5_1|2]), (182,225,[5_1|2]), (182,234,[5_1|2]), (182,239,[5_1|2]), (182,254,[5_1|2]), (183,184,[4_1|2]), (184,185,[3_1|2]), (185,186,[5_1|2]), (186,187,[2_1|2]), (187,95,[5_1|2]), (187,169,[5_1|2]), (187,174,[5_1|2]), (187,303,[5_1|2]), (187,235,[5_1|2]), (188,189,[0_1|2]), (189,190,[2_1|2]), (190,191,[1_1|2]), (191,192,[1_1|2]), (192,95,[5_1|2]), (192,216,[5_1|2]), (192,220,[5_1|2]), (192,225,[5_1|2]), (192,234,[5_1|2]), (192,239,[5_1|2]), (192,254,[5_1|2]), (193,194,[4_1|2]), (194,195,[2_1|2]), (195,196,[5_1|2]), (196,197,[0_1|2]), (196,198,[0_1|2]), (197,95,[4_1|2]), (197,111,[4_1|2]), (197,132,[4_1|2]), (197,140,[4_1|2]), (197,268,[4_1|2]), (197,281,[4_1|2]), (197,293,[4_1|2]), (197,308,[4_1|2]), (197,120,[4_1|2]), (197,137,[4_1|2]), (197,184,[4_1|2]), (197,194,[4_1|2]), (197,199,[4_1|2]), (197,299,[4_1|2]), (197,272,[3_1|2]), (197,277,[3_1|2]), (197,285,[3_1|2]), (197,289,[3_1|2]), (197,298,[0_1|2]), (197,303,[5_1|2]), (197,313,[0_1|2]), (198,199,[4_1|2]), (199,200,[2_1|2]), (200,201,[5_1|2]), (201,202,[1_1|2]), (202,95,[1_1|2]), (202,216,[1_1|2]), (202,220,[1_1|2]), (202,225,[1_1|2]), (202,234,[1_1|2]), (202,239,[1_1|2]), (203,204,[4_1|2]), (204,205,[2_1|2]), (205,95,[1_1|2]), (205,229,[1_1|2]), (206,207,[3_1|2]), (207,208,[2_1|2]), (208,209,[1_1|2]), (209,210,[1_1|2]), (210,95,[5_1|2]), (210,229,[5_1|2]), (211,212,[4_1|2]), (212,213,[2_1|2]), (213,214,[5_1|2]), (214,215,[1_1|2]), (215,95,[1_1|2]), (215,229,[1_1|2]), (216,217,[2_1|2]), (217,218,[1_1|2]), (218,219,[3_1|2]), (218,244,[3_1|2]), (218,248,[3_1|2]), (219,95,[0_1|2]), (219,96,[0_1|2]), (219,99,[0_1|2]), (219,103,[0_1|2]), (219,107,[0_1|2]), (219,115,[0_1|2]), (219,119,[0_1|2]), (219,123,[0_1|2]), (219,136,[0_1|2]), (219,145,[0_1|2]), (219,150,[0_1|2]), (219,155,[0_1|2]), (219,160,[0_1|2]), (219,164,[0_1|2]), (219,179,[0_1|2]), (219,183,[0_1|2]), (219,193,[0_1|2]), (219,198,[0_1|2]), (219,206,[0_1|2]), (219,298,[0_1|2]), (219,313,[0_1|2]), (219,111,[4_1|2]), (219,127,[3_1|2]), (219,132,[4_1|2]), (219,140,[4_1|2]), (219,169,[5_1|2]), (219,174,[5_1|2]), (219,188,[3_1|2]), (220,221,[3_1|2]), (221,222,[2_1|2]), (222,223,[1_1|2]), (223,224,[5_1|2]), (224,95,[1_1|2]), (224,216,[1_1|2]), (224,220,[1_1|2]), (224,225,[1_1|2]), (224,234,[1_1|2]), (224,239,[1_1|2]), (225,226,[1_1|2]), (226,227,[4_1|2]), (227,228,[2_1|2]), (228,95,[5_1|2]), (228,216,[5_1|2]), (228,220,[5_1|2]), (228,225,[5_1|2]), (228,234,[5_1|2]), (228,239,[5_1|2]), (229,230,[1_1|2]), (230,231,[4_1|2]), (231,232,[3_1|2]), (232,233,[0_1|2]), (232,160,[0_1|2]), (232,164,[0_1|2]), (233,95,[2_1|2]), (233,229,[2_1|2, 1_1|2]), (233,203,[3_1|2]), (233,206,[0_1|2]), (233,211,[3_1|2]), (233,216,[2_1|2]), (233,220,[2_1|2]), (233,225,[2_1|2]), (233,234,[2_1|2]), (233,239,[2_1|2]), (234,235,[5_1|2]), (235,236,[1_1|2]), (236,237,[1_1|2]), (237,238,[0_1|2]), (238,95,[3_1|2]), (238,169,[3_1|2]), (238,174,[3_1|2]), (238,303,[3_1|2]), (238,264,[3_1|2]), (238,278,[3_1|2]), (238,290,[3_1|2]), (238,244,[3_1|2]), (238,248,[3_1|2]), (238,253,[3_1|2]), (238,258,[3_1|2]), (238,263,[3_1|2]), (239,240,[1_1|2]), (240,241,[1_1|2]), (241,242,[3_1|2]), (242,243,[0_1|2]), (242,169,[5_1|2]), (242,174,[5_1|2]), (242,179,[0_1|2]), (242,183,[0_1|2]), (242,188,[3_1|2]), (242,193,[0_1|2]), (242,318,[0_1|3]), (243,95,[5_1|2]), (243,127,[5_1|2]), (243,188,[5_1|2]), (243,203,[5_1|2]), (243,211,[5_1|2]), (243,244,[5_1|2]), (243,248,[5_1|2]), (243,253,[5_1|2]), (243,258,[5_1|2]), (243,263,[5_1|2]), (243,272,[5_1|2]), (243,277,[5_1|2]), (243,285,[5_1|2]), (243,289,[5_1|2]), (243,304,[5_1|2]), (244,245,[4_1|2]), (245,246,[0_1|2]), (246,247,[2_1|2]), (247,95,[1_1|2]), (247,216,[1_1|2]), (247,220,[1_1|2]), (247,225,[1_1|2]), (247,234,[1_1|2]), (247,239,[1_1|2]), (248,249,[4_1|2]), (249,250,[0_1|2]), (250,251,[2_1|2]), (251,252,[1_1|2]), (252,95,[0_1|2]), (252,96,[0_1|2]), (252,99,[0_1|2]), (252,103,[0_1|2]), (252,107,[0_1|2]), (252,115,[0_1|2]), (252,119,[0_1|2]), (252,123,[0_1|2]), (252,136,[0_1|2]), (252,145,[0_1|2]), (252,150,[0_1|2]), (252,155,[0_1|2]), (252,160,[0_1|2]), (252,164,[0_1|2]), (252,179,[0_1|2]), (252,183,[0_1|2]), (252,193,[0_1|2]), (252,198,[0_1|2]), (252,206,[0_1|2]), (252,298,[0_1|2]), (252,313,[0_1|2]), (252,111,[4_1|2]), (252,127,[3_1|2]), (252,132,[4_1|2]), (252,140,[4_1|2]), (252,169,[5_1|2]), (252,174,[5_1|2]), (252,188,[3_1|2]), (253,254,[2_1|2]), (254,255,[1_1|2]), (255,256,[5_1|2]), (256,257,[0_1|2]), (257,95,[0_1|2]), (257,96,[0_1|2]), (257,99,[0_1|2]), (257,103,[0_1|2]), (257,107,[0_1|2]), (257,115,[0_1|2]), (257,119,[0_1|2]), (257,123,[0_1|2]), (257,136,[0_1|2]), (257,145,[0_1|2]), (257,150,[0_1|2]), (257,155,[0_1|2]), (257,160,[0_1|2]), (257,164,[0_1|2]), (257,179,[0_1|2]), (257,183,[0_1|2]), (257,193,[0_1|2]), (257,198,[0_1|2]), (257,206,[0_1|2]), (257,298,[0_1|2]), (257,313,[0_1|2]), (257,111,[4_1|2]), (257,127,[3_1|2]), (257,132,[4_1|2]), (257,140,[4_1|2]), (257,169,[5_1|2]), (257,174,[5_1|2]), (257,188,[3_1|2]), (258,259,[3_1|2]), (259,260,[4_1|2]), (260,261,[2_1|2]), (261,262,[1_1|2]), (262,95,[5_1|2]), (262,229,[5_1|2]), (263,264,[5_1|2]), (264,265,[4_1|2]), (265,266,[3_1|2]), (266,267,[1_1|2]), (267,95,[3_1|2]), (267,127,[3_1|2]), (267,188,[3_1|2]), (267,203,[3_1|2]), (267,211,[3_1|2]), (267,244,[3_1|2]), (267,248,[3_1|2]), (267,253,[3_1|2]), (267,258,[3_1|2]), (267,263,[3_1|2]), (267,272,[3_1|2]), (267,277,[3_1|2]), (267,285,[3_1|2]), (267,289,[3_1|2]), (268,269,[3_1|2]), (269,270,[4_1|2]), (270,271,[2_1|2]), (271,95,[1_1|2]), (271,216,[1_1|2]), (271,220,[1_1|2]), (271,225,[1_1|2]), (271,234,[1_1|2]), (271,239,[1_1|2]), (271,254,[1_1|2]), (272,273,[4_1|2]), (273,274,[2_1|2]), (274,275,[4_1|2]), (275,276,[1_1|2]), (276,95,[5_1|2]), (276,169,[5_1|2]), (276,174,[5_1|2]), (276,303,[5_1|2]), (276,235,[5_1|2]), (277,278,[5_1|2]), (278,279,[4_1|2]), (279,280,[4_1|2]), (280,95,[1_1|2]), (280,229,[1_1|2]), (281,282,[3_1|2]), (282,283,[1_1|2]), (283,284,[5_1|2]), (284,95,[1_1|2]), (284,229,[1_1|2]), (285,286,[4_1|2]), (286,287,[2_1|2]), (287,288,[5_1|2]), (288,95,[4_1|2]), (288,216,[4_1|2]), (288,220,[4_1|2]), (288,225,[4_1|2]), (288,234,[4_1|2]), (288,239,[4_1|2]), (288,254,[4_1|2]), (288,268,[4_1|2]), (288,272,[3_1|2]), (288,277,[3_1|2]), (288,281,[4_1|2]), (288,285,[3_1|2]), (288,289,[3_1|2]), (288,293,[4_1|2]), (288,298,[0_1|2]), (288,303,[5_1|2]), (288,308,[4_1|2]), (288,313,[0_1|2]), (289,290,[5_1|2]), (290,291,[4_1|2]), (291,292,[2_1|2]), (292,95,[1_1|2]), (292,216,[1_1|2]), (292,220,[1_1|2]), (292,225,[1_1|2]), (292,234,[1_1|2]), (292,239,[1_1|2]), (292,254,[1_1|2]), (293,294,[5_1|2]), (294,295,[5_1|2]), (295,296,[4_1|2]), (296,297,[3_1|2]), (297,95,[1_1|2]), (297,229,[1_1|2]), (298,299,[4_1|2]), (299,300,[2_1|2]), (300,301,[1_1|2]), (301,302,[5_1|2]), (302,95,[5_1|2]), (302,216,[5_1|2]), (302,220,[5_1|2]), (302,225,[5_1|2]), (302,234,[5_1|2]), (302,239,[5_1|2]), (303,304,[3_1|2]), (304,305,[4_1|2]), (305,306,[3_1|2]), (306,307,[2_1|2]), (307,95,[1_1|2]), (307,229,[1_1|2]), (308,309,[2_1|2]), (309,310,[5_1|2]), (310,311,[5_1|2]), (311,312,[2_1|2]), (312,95,[1_1|2]), (312,216,[1_1|2]), (312,220,[1_1|2]), (312,225,[1_1|2]), (312,234,[1_1|2]), (312,239,[1_1|2]), (313,314,[3_1|2]), (314,315,[4_1|2]), (315,316,[3_1|2]), (316,317,[1_1|2]), (317,95,[1_1|2]), (317,229,[1_1|2]), (318,319,[3_1|3]), (319,320,[4_1|3]), (320,321,[2_1|3]), (321,254,[5_1|3])}" ---------------------------------------- (8) BOUNDS(1, n^1)