/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# AProVE Commit ID: 794c25de1cacf0d048858bcd21c9a779e1221865 marcel 20200619 unpublished dirty The Derivational Complexity (full) of the given DCpxTrs could be proven to be BOUNDS(1, n^1).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), 88 ms] (4) CpxRelTRS (5) RelTrsToTrsProof [UPPER BOUND(ID), 0 ms] (6) CpxTRS (7) CpxTrsMatchBoundsProof [FINISHED, 55 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(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: 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(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 (full) 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: 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(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: 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(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: 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. "[86, 87, 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, 322, 323, 324, 325] {(86,87,[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]), (86,99,[1_1|1, 5_1|1, 0_1|1, 2_1|1, 3_1|1, 4_1|1]), (86,100,[0_1|2]), (86,103,[0_1|2]), (86,107,[0_1|2]), (86,111,[0_1|2]), (86,115,[4_1|2]), (86,119,[0_1|2]), (86,123,[0_1|2]), (86,127,[0_1|2]), (86,131,[3_1|2]), (86,136,[4_1|2]), (86,140,[0_1|2]), (86,144,[4_1|2]), (86,149,[0_1|2]), (86,154,[0_1|2]), (86,159,[0_1|2]), (86,164,[0_1|2]), (86,168,[0_1|2]), (86,173,[5_1|2]), (86,178,[5_1|2]), (86,183,[0_1|2]), (86,187,[0_1|2]), (86,192,[3_1|2]), (86,197,[0_1|2]), (86,202,[0_1|2]), (86,207,[3_1|2]), (86,210,[0_1|2]), (86,215,[3_1|2]), (86,220,[2_1|2]), (86,224,[2_1|2]), (86,229,[2_1|2]), (86,233,[1_1|2]), (86,238,[2_1|2]), (86,243,[2_1|2]), (86,248,[3_1|2]), (86,252,[3_1|2]), (86,257,[3_1|2]), (86,262,[3_1|2]), (86,267,[3_1|2]), (86,272,[4_1|2]), (86,276,[3_1|2]), (86,281,[3_1|2]), (86,285,[4_1|2]), (86,289,[3_1|2]), (86,293,[3_1|2]), (86,297,[4_1|2]), (86,302,[0_1|2]), (86,307,[5_1|2]), (86,312,[4_1|2]), (86,317,[0_1|2]), (87,87,[1_1|0, 5_1|0, cons_0_1|0, cons_2_1|0, cons_3_1|0, cons_4_1|0]), (99,87,[encArg_1|1]), (99,99,[1_1|1, 5_1|1, 0_1|1, 2_1|1, 3_1|1, 4_1|1]), (99,100,[0_1|2]), (99,103,[0_1|2]), (99,107,[0_1|2]), (99,111,[0_1|2]), (99,115,[4_1|2]), (99,119,[0_1|2]), (99,123,[0_1|2]), (99,127,[0_1|2]), (99,131,[3_1|2]), (99,136,[4_1|2]), (99,140,[0_1|2]), (99,144,[4_1|2]), (99,149,[0_1|2]), (99,154,[0_1|2]), (99,159,[0_1|2]), (99,164,[0_1|2]), (99,168,[0_1|2]), (99,173,[5_1|2]), (99,178,[5_1|2]), (99,183,[0_1|2]), (99,187,[0_1|2]), (99,192,[3_1|2]), (99,197,[0_1|2]), (99,202,[0_1|2]), (99,207,[3_1|2]), (99,210,[0_1|2]), (99,215,[3_1|2]), (99,220,[2_1|2]), (99,224,[2_1|2]), (99,229,[2_1|2]), (99,233,[1_1|2]), (99,238,[2_1|2]), (99,243,[2_1|2]), (99,248,[3_1|2]), (99,252,[3_1|2]), (99,257,[3_1|2]), (99,262,[3_1|2]), (99,267,[3_1|2]), (99,272,[4_1|2]), (99,276,[3_1|2]), (99,281,[3_1|2]), (99,285,[4_1|2]), (99,289,[3_1|2]), (99,293,[3_1|2]), (99,297,[4_1|2]), (99,302,[0_1|2]), (99,307,[5_1|2]), (99,312,[4_1|2]), (99,317,[0_1|2]), (100,101,[2_1|2]), (101,102,[1_1|2]), (102,99,[1_1|2]), (102,220,[1_1|2]), (102,224,[1_1|2]), (102,229,[1_1|2]), (102,238,[1_1|2]), (102,243,[1_1|2]), (103,104,[0_1|2]), (104,105,[2_1|2]), (105,106,[1_1|2]), (106,99,[1_1|2]), (106,100,[1_1|2]), (106,103,[1_1|2]), (106,107,[1_1|2]), (106,111,[1_1|2]), (106,119,[1_1|2]), (106,123,[1_1|2]), (106,127,[1_1|2]), (106,140,[1_1|2]), (106,149,[1_1|2]), (106,154,[1_1|2]), (106,159,[1_1|2]), (106,164,[1_1|2]), (106,168,[1_1|2]), (106,183,[1_1|2]), (106,187,[1_1|2]), (106,197,[1_1|2]), (106,202,[1_1|2]), (106,210,[1_1|2]), (106,302,[1_1|2]), (106,317,[1_1|2]), (107,108,[2_1|2]), (108,109,[1_1|2]), (109,110,[1_1|2]), (110,99,[0_1|2]), (110,100,[0_1|2]), (110,103,[0_1|2]), (110,107,[0_1|2]), (110,111,[0_1|2]), (110,119,[0_1|2]), (110,123,[0_1|2]), (110,127,[0_1|2]), (110,140,[0_1|2]), (110,149,[0_1|2]), (110,154,[0_1|2]), (110,159,[0_1|2]), (110,164,[0_1|2]), (110,168,[0_1|2]), (110,183,[0_1|2]), (110,187,[0_1|2]), (110,197,[0_1|2]), (110,202,[0_1|2]), (110,210,[0_1|2]), (110,302,[0_1|2]), (110,317,[0_1|2]), (110,115,[4_1|2]), (110,131,[3_1|2]), (110,136,[4_1|2]), (110,144,[4_1|2]), (110,173,[5_1|2]), (110,178,[5_1|2]), (110,192,[3_1|2]), (111,112,[2_1|2]), (112,113,[1_1|2]), (113,114,[1_1|2]), (114,99,[1_1|2]), (114,233,[1_1|2]), (114,230,[1_1|2]), (114,244,[1_1|2]), (115,116,[0_1|2]), (116,117,[2_1|2]), (117,118,[1_1|2]), (118,99,[1_1|2]), (118,115,[1_1|2]), (118,136,[1_1|2]), (118,144,[1_1|2]), (118,272,[1_1|2]), (118,285,[1_1|2]), (118,297,[1_1|2]), (118,312,[1_1|2]), (119,120,[2_1|2]), (120,121,[5_1|2]), (121,122,[1_1|2]), (122,99,[1_1|2]), (122,173,[1_1|2]), (122,178,[1_1|2]), (122,307,[1_1|2]), (122,239,[1_1|2]), (123,124,[4_1|2]), (124,125,[2_1|2]), (125,126,[1_1|2]), (126,99,[5_1|2]), (126,173,[5_1|2]), (126,178,[5_1|2]), (126,307,[5_1|2]), (126,239,[5_1|2]), (127,128,[0_1|2]), (128,129,[3_1|2]), (129,130,[1_1|2]), (130,99,[1_1|2]), (130,233,[1_1|2]), (131,132,[0_1|2]), (132,133,[2_1|2]), (133,134,[1_1|2]), (134,135,[1_1|2]), (135,99,[1_1|2]), (135,233,[1_1|2]), (136,137,[0_1|2]), (137,138,[1_1|2]), (138,139,[1_1|2]), (139,99,[1_1|2]), (139,233,[1_1|2]), (140,141,[4_1|2]), (141,142,[1_1|2]), (142,143,[1_1|2]), (143,99,[5_1|2]), (143,173,[5_1|2]), (143,178,[5_1|2]), (143,307,[5_1|2]), (143,298,[5_1|2]), (144,145,[0_1|2]), (145,146,[2_1|2]), (146,147,[5_1|2]), (147,148,[1_1|2]), (148,99,[1_1|2]), (148,233,[1_1|2]), (149,150,[0_1|2]), (150,151,[2_1|2]), (151,152,[1_1|2]), (152,153,[4_1|2]), (153,99,[2_1|2]), (153,220,[2_1|2]), (153,224,[2_1|2]), (153,229,[2_1|2]), (153,238,[2_1|2]), (153,243,[2_1|2]), (153,221,[2_1|2]), (153,207,[3_1|2]), (153,210,[0_1|2]), (153,215,[3_1|2]), (153,233,[1_1|2]), (154,155,[3_1|2]), (155,156,[4_1|2]), (156,157,[0_1|2]), (157,158,[1_1|2]), (158,99,[1_1|2]), (158,233,[1_1|2]), (159,160,[0_1|2]), (160,161,[1_1|2]), (161,162,[5_1|2]), (162,163,[5_1|2]), (163,99,[1_1|2]), (163,233,[1_1|2]), (164,165,[0_1|2]), (165,166,[2_1|2]), (166,167,[4_1|2]), (167,99,[1_1|2]), (167,233,[1_1|2]), (168,169,[3_1|2]), (169,170,[4_1|2]), (170,171,[2_1|2]), (171,172,[1_1|2]), (172,99,[3_1|2]), (172,131,[3_1|2]), (172,192,[3_1|2]), (172,207,[3_1|2]), (172,215,[3_1|2]), (172,248,[3_1|2]), (172,252,[3_1|2]), (172,257,[3_1|2]), (172,262,[3_1|2]), (172,267,[3_1|2]), (172,276,[3_1|2]), (172,281,[3_1|2]), (172,289,[3_1|2]), (172,293,[3_1|2]), (173,174,[0_1|2]), (174,175,[3_1|2]), (175,176,[1_1|2]), (176,177,[1_1|2]), (177,99,[1_1|2]), (177,233,[1_1|2]), (178,179,[0_1|2]), (179,180,[3_1|2]), (180,181,[4_1|2]), (181,182,[1_1|2]), (182,99,[5_1|2]), (182,173,[5_1|2]), (182,178,[5_1|2]), (182,307,[5_1|2]), (183,184,[3_1|2]), (184,185,[4_1|2]), (185,186,[2_1|2]), (186,99,[5_1|2]), (186,220,[5_1|2]), (186,224,[5_1|2]), (186,229,[5_1|2]), (186,238,[5_1|2]), (186,243,[5_1|2]), (186,258,[5_1|2]), (187,188,[4_1|2]), (188,189,[3_1|2]), (189,190,[5_1|2]), (190,191,[2_1|2]), (191,99,[5_1|2]), (191,173,[5_1|2]), (191,178,[5_1|2]), (191,307,[5_1|2]), (191,239,[5_1|2]), (192,193,[0_1|2]), (193,194,[2_1|2]), (194,195,[1_1|2]), (195,196,[1_1|2]), (196,99,[5_1|2]), (196,220,[5_1|2]), (196,224,[5_1|2]), (196,229,[5_1|2]), (196,238,[5_1|2]), (196,243,[5_1|2]), (196,258,[5_1|2]), (197,198,[4_1|2]), (198,199,[2_1|2]), (199,200,[5_1|2]), (200,201,[0_1|2]), (200,202,[0_1|2]), (201,99,[4_1|2]), (201,115,[4_1|2]), (201,136,[4_1|2]), (201,144,[4_1|2]), (201,272,[4_1|2]), (201,285,[4_1|2]), (201,297,[4_1|2]), (201,312,[4_1|2]), (201,124,[4_1|2]), (201,141,[4_1|2]), (201,188,[4_1|2]), (201,198,[4_1|2]), (201,203,[4_1|2]), (201,303,[4_1|2]), (201,276,[3_1|2]), (201,281,[3_1|2]), (201,289,[3_1|2]), (201,293,[3_1|2]), (201,302,[0_1|2]), (201,307,[5_1|2]), (201,317,[0_1|2]), (202,203,[4_1|2]), (203,204,[2_1|2]), (204,205,[5_1|2]), (205,206,[1_1|2]), (206,99,[1_1|2]), (206,220,[1_1|2]), (206,224,[1_1|2]), (206,229,[1_1|2]), (206,238,[1_1|2]), (206,243,[1_1|2]), (207,208,[4_1|2]), (208,209,[2_1|2]), (209,99,[1_1|2]), (209,233,[1_1|2]), (210,211,[3_1|2]), (211,212,[2_1|2]), (212,213,[1_1|2]), (213,214,[1_1|2]), (214,99,[5_1|2]), (214,233,[5_1|2]), (215,216,[4_1|2]), (216,217,[2_1|2]), (217,218,[5_1|2]), (218,219,[1_1|2]), (219,99,[1_1|2]), (219,233,[1_1|2]), (220,221,[2_1|2]), (221,222,[1_1|2]), (222,223,[3_1|2]), (222,248,[3_1|2]), (222,252,[3_1|2]), (223,99,[0_1|2]), (223,100,[0_1|2]), (223,103,[0_1|2]), (223,107,[0_1|2]), (223,111,[0_1|2]), (223,119,[0_1|2]), (223,123,[0_1|2]), (223,127,[0_1|2]), (223,140,[0_1|2]), (223,149,[0_1|2]), (223,154,[0_1|2]), (223,159,[0_1|2]), (223,164,[0_1|2]), (223,168,[0_1|2]), (223,183,[0_1|2]), (223,187,[0_1|2]), (223,197,[0_1|2]), (223,202,[0_1|2]), (223,210,[0_1|2]), (223,302,[0_1|2]), (223,317,[0_1|2]), (223,115,[4_1|2]), (223,131,[3_1|2]), (223,136,[4_1|2]), (223,144,[4_1|2]), (223,173,[5_1|2]), (223,178,[5_1|2]), (223,192,[3_1|2]), (224,225,[3_1|2]), (225,226,[2_1|2]), (226,227,[1_1|2]), (227,228,[5_1|2]), (228,99,[1_1|2]), (228,220,[1_1|2]), (228,224,[1_1|2]), (228,229,[1_1|2]), (228,238,[1_1|2]), (228,243,[1_1|2]), (229,230,[1_1|2]), (230,231,[4_1|2]), (231,232,[2_1|2]), (232,99,[5_1|2]), (232,220,[5_1|2]), (232,224,[5_1|2]), (232,229,[5_1|2]), (232,238,[5_1|2]), (232,243,[5_1|2]), (233,234,[1_1|2]), (234,235,[4_1|2]), (235,236,[3_1|2]), (236,237,[0_1|2]), (236,164,[0_1|2]), (236,168,[0_1|2]), (237,99,[2_1|2]), (237,233,[2_1|2, 1_1|2]), (237,207,[3_1|2]), (237,210,[0_1|2]), (237,215,[3_1|2]), (237,220,[2_1|2]), (237,224,[2_1|2]), (237,229,[2_1|2]), (237,238,[2_1|2]), (237,243,[2_1|2]), (238,239,[5_1|2]), (239,240,[1_1|2]), (240,241,[1_1|2]), (241,242,[0_1|2]), (242,99,[3_1|2]), (242,173,[3_1|2]), (242,178,[3_1|2]), (242,307,[3_1|2]), (242,268,[3_1|2]), (242,282,[3_1|2]), (242,294,[3_1|2]), (242,248,[3_1|2]), (242,252,[3_1|2]), (242,257,[3_1|2]), (242,262,[3_1|2]), (242,267,[3_1|2]), (243,244,[1_1|2]), (244,245,[1_1|2]), (245,246,[3_1|2]), (246,247,[0_1|2]), (246,173,[5_1|2]), (246,178,[5_1|2]), (246,183,[0_1|2]), (246,187,[0_1|2]), (246,192,[3_1|2]), (246,197,[0_1|2]), (246,322,[0_1|3]), (247,99,[5_1|2]), (247,131,[5_1|2]), (247,192,[5_1|2]), (247,207,[5_1|2]), (247,215,[5_1|2]), (247,248,[5_1|2]), (247,252,[5_1|2]), (247,257,[5_1|2]), (247,262,[5_1|2]), (247,267,[5_1|2]), (247,276,[5_1|2]), (247,281,[5_1|2]), (247,289,[5_1|2]), (247,293,[5_1|2]), (247,308,[5_1|2]), (248,249,[4_1|2]), (249,250,[0_1|2]), (250,251,[2_1|2]), (251,99,[1_1|2]), (251,220,[1_1|2]), (251,224,[1_1|2]), (251,229,[1_1|2]), (251,238,[1_1|2]), (251,243,[1_1|2]), (252,253,[4_1|2]), (253,254,[0_1|2]), (254,255,[2_1|2]), (255,256,[1_1|2]), (256,99,[0_1|2]), (256,100,[0_1|2]), (256,103,[0_1|2]), (256,107,[0_1|2]), (256,111,[0_1|2]), (256,119,[0_1|2]), (256,123,[0_1|2]), (256,127,[0_1|2]), (256,140,[0_1|2]), (256,149,[0_1|2]), (256,154,[0_1|2]), (256,159,[0_1|2]), (256,164,[0_1|2]), (256,168,[0_1|2]), (256,183,[0_1|2]), (256,187,[0_1|2]), (256,197,[0_1|2]), (256,202,[0_1|2]), (256,210,[0_1|2]), (256,302,[0_1|2]), (256,317,[0_1|2]), (256,115,[4_1|2]), (256,131,[3_1|2]), (256,136,[4_1|2]), (256,144,[4_1|2]), (256,173,[5_1|2]), (256,178,[5_1|2]), (256,192,[3_1|2]), (257,258,[2_1|2]), (258,259,[1_1|2]), (259,260,[5_1|2]), (260,261,[0_1|2]), (261,99,[0_1|2]), (261,100,[0_1|2]), (261,103,[0_1|2]), (261,107,[0_1|2]), (261,111,[0_1|2]), (261,119,[0_1|2]), (261,123,[0_1|2]), (261,127,[0_1|2]), (261,140,[0_1|2]), (261,149,[0_1|2]), (261,154,[0_1|2]), (261,159,[0_1|2]), (261,164,[0_1|2]), (261,168,[0_1|2]), (261,183,[0_1|2]), (261,187,[0_1|2]), (261,197,[0_1|2]), (261,202,[0_1|2]), (261,210,[0_1|2]), (261,302,[0_1|2]), (261,317,[0_1|2]), (261,115,[4_1|2]), (261,131,[3_1|2]), (261,136,[4_1|2]), (261,144,[4_1|2]), (261,173,[5_1|2]), (261,178,[5_1|2]), (261,192,[3_1|2]), (262,263,[3_1|2]), (263,264,[4_1|2]), (264,265,[2_1|2]), (265,266,[1_1|2]), (266,99,[5_1|2]), (266,233,[5_1|2]), (267,268,[5_1|2]), (268,269,[4_1|2]), (269,270,[3_1|2]), (270,271,[1_1|2]), (271,99,[3_1|2]), (271,131,[3_1|2]), (271,192,[3_1|2]), (271,207,[3_1|2]), (271,215,[3_1|2]), (271,248,[3_1|2]), (271,252,[3_1|2]), (271,257,[3_1|2]), (271,262,[3_1|2]), (271,267,[3_1|2]), (271,276,[3_1|2]), (271,281,[3_1|2]), (271,289,[3_1|2]), (271,293,[3_1|2]), (272,273,[3_1|2]), (273,274,[4_1|2]), (274,275,[2_1|2]), (275,99,[1_1|2]), (275,220,[1_1|2]), (275,224,[1_1|2]), (275,229,[1_1|2]), (275,238,[1_1|2]), (275,243,[1_1|2]), (275,258,[1_1|2]), (276,277,[4_1|2]), (277,278,[2_1|2]), (278,279,[4_1|2]), (279,280,[1_1|2]), (280,99,[5_1|2]), (280,173,[5_1|2]), (280,178,[5_1|2]), (280,307,[5_1|2]), (280,239,[5_1|2]), (281,282,[5_1|2]), (282,283,[4_1|2]), (283,284,[4_1|2]), (284,99,[1_1|2]), (284,233,[1_1|2]), (285,286,[3_1|2]), (286,287,[1_1|2]), (287,288,[5_1|2]), (288,99,[1_1|2]), (288,233,[1_1|2]), (289,290,[4_1|2]), (290,291,[2_1|2]), (291,292,[5_1|2]), (292,99,[4_1|2]), (292,220,[4_1|2]), (292,224,[4_1|2]), (292,229,[4_1|2]), (292,238,[4_1|2]), (292,243,[4_1|2]), (292,258,[4_1|2]), (292,272,[4_1|2]), (292,276,[3_1|2]), (292,281,[3_1|2]), (292,285,[4_1|2]), (292,289,[3_1|2]), (292,293,[3_1|2]), (292,297,[4_1|2]), (292,302,[0_1|2]), (292,307,[5_1|2]), (292,312,[4_1|2]), (292,317,[0_1|2]), (293,294,[5_1|2]), (294,295,[4_1|2]), (295,296,[2_1|2]), (296,99,[1_1|2]), (296,220,[1_1|2]), (296,224,[1_1|2]), (296,229,[1_1|2]), (296,238,[1_1|2]), (296,243,[1_1|2]), (296,258,[1_1|2]), (297,298,[5_1|2]), (298,299,[5_1|2]), (299,300,[4_1|2]), (300,301,[3_1|2]), (301,99,[1_1|2]), (301,233,[1_1|2]), (302,303,[4_1|2]), (303,304,[2_1|2]), (304,305,[1_1|2]), (305,306,[5_1|2]), (306,99,[5_1|2]), (306,220,[5_1|2]), (306,224,[5_1|2]), (306,229,[5_1|2]), (306,238,[5_1|2]), (306,243,[5_1|2]), (307,308,[3_1|2]), (308,309,[4_1|2]), (309,310,[3_1|2]), (310,311,[2_1|2]), (311,99,[1_1|2]), (311,233,[1_1|2]), (312,313,[2_1|2]), (313,314,[5_1|2]), (314,315,[5_1|2]), (315,316,[2_1|2]), (316,99,[1_1|2]), (316,220,[1_1|2]), (316,224,[1_1|2]), (316,229,[1_1|2]), (316,238,[1_1|2]), (316,243,[1_1|2]), (317,318,[3_1|2]), (318,319,[4_1|2]), (319,320,[3_1|2]), (320,321,[1_1|2]), (321,99,[1_1|2]), (321,233,[1_1|2]), (322,323,[3_1|3]), (323,324,[4_1|3]), (324,325,[2_1|3]), (325,258,[5_1|3])}" ---------------------------------------- (8) BOUNDS(1, n^1)