WORST_CASE(?, O(n^1)) proof of /export/starexec/sandbox2/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# AProVE Commit ID: 794c25de1cacf0d048858bcd21c9a779e1221865 marcel 20200619 unpublished dirty The Derivational Complexity (innermost) of the given DCpxTrs could be proven to be BOUNDS(1, n^1).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), 49 ms] (4) CpxRelTRS (5) RelTrsToTrsProof [UPPER BOUND(ID), 0 ms] (6) CpxTRS (7) CpxTrsMatchBoundsProof [FINISHED, 500 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(0(1(0(0(1(0(0(0(0(1(0(1(0(0(0(1(1(1(0(1(1(0(1(0(0(1(1(1(1(0(1(1(1(1(0(0(0(1(0(1(0(0(0(0(0(1(0(0(0(0(0(1(1(0(1(1(1(1(1(1(1(1(1(0(1(0(1(1(0(1(0(0(0(0(1(0(1(1(1(1(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 0(0(1(0(0(1(0(0(0(0(1(0(1(0(0(0(1(1(1(0(1(1(0(1(0(0(1(1(1(1(0(1(1(1(1(0(0(0(1(0(1(0(0(0(1(1(0(0(1(0(1(1(1(0(0(1(0(1(1(1(0(0(1(0(0(0(1(0(0(1(1(1(1(0(0(1(1(0(0(1(1(1(x1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) 0(0(1(0(0(1(0(0(0(0(1(0(1(0(0(0(1(1(1(0(1(1(0(1(0(0(1(1(1(1(0(1(1(1(1(0(0(0(1(0(1(0(0(0(0(0(1(0(0(0(0(0(1(1(0(1(1(1(1(1(1(1(1(1(0(1(0(1(1(0(1(0(0(0(0(1(0(1(1(1(1(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 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0(0(1(0(0(1(0(0(0(0(1(0(1(0(0(0(1(1(1(0(1(1(0(1(0(0(1(1(1(1(0(1(1(1(1(0(0(0(1(0(1(0(0(0(1(1(0(0(1(0(1(1(1(0(0(1(0(1(1(1(0(0(1(0(0(0(1(0(0(1(1(1(1(0(1(1(1(1(1(1(0(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(cons_0(x_1)) -> 0(encArg(x_1)) encode_0(x_1) -> 0(encArg(x_1)) encode_1(x_1) -> 1(encArg(x_1)) ---------------------------------------- (2) Obligation: The Runtime Complexity (innermost) of the given CpxRelTRS could be proven to be BOUNDS(1, n^1). 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0(0(1(0(0(1(0(0(0(0(1(0(1(0(0(0(1(1(1(0(1(1(0(1(0(0(1(1(1(1(0(1(1(1(1(0(0(0(1(0(1(0(0(0(1(1(0(0(1(0(1(1(1(0(0(1(0(1(1(1(0(0(1(0(0(0(1(0(0(1(1(1(1(0(1(1(1(1(1(1(0(1(x1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) The (relative) TRS S consists of the following rules: encArg(1(x_1)) -> 1(encArg(x_1)) encArg(cons_0(x_1)) -> 0(encArg(x_1)) encode_0(x_1) -> 0(encArg(x_1)) encode_1(x_1) -> 1(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). 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0(0(1(0(0(1(0(0(0(0(1(0(1(0(0(0(1(1(1(0(1(1(0(1(0(0(1(1(1(1(0(1(1(1(1(0(0(0(1(0(1(0(0(0(1(1(0(0(1(0(1(1(1(0(0(1(0(1(1(1(0(0(1(0(0(0(1(0(0(1(1(1(1(0(1(1(1(1(1(1(0(1(x1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) The (relative) TRS S consists of the following rules: encArg(1(x_1)) -> 1(encArg(x_1)) encArg(cons_0(x_1)) -> 0(encArg(x_1)) encode_0(x_1) -> 0(encArg(x_1)) encode_1(x_1) -> 1(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). 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0(0(1(0(0(1(0(0(0(0(1(0(1(0(0(0(1(1(1(0(1(1(0(1(0(0(1(1(1(1(0(1(1(1(1(0(0(0(1(0(1(0(0(0(1(1(0(0(1(0(1(1(1(0(0(1(0(1(1(1(0(0(1(0(0(0(1(0(0(1(1(1(1(1(1(0(1(0(0(0(0(1(x1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) 0(0(1(1(1(0(0(1(0(0(1(1(0(0(0(0(0(0(1(1(1(1(0(0(0(0(1(0(0(0(1(0(0(1(1(0(1(1(0(1(1(0(0(0(0(0(0(1(1(1(0(1(1(1(1(0(0(1(0(1(1(0(1(0(0(1(1(1(1(1(1(1(0(0(1(1(1(1(0(0(1(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 0(0(1(0(0(1(0(0(0(0(1(0(1(0(0(0(1(1(1(0(1(1(0(1(1(1(1(0(0(0(1(1(0(1(1(1(1(0(1(1(0(1(0(0(1(0(1(1(0(0(1(1(0(1(1(0(1(0(0(1(0(1(1(1(1(0(1(0(0(1(1(1(0(1(0(0(0(1(0(1(0(1(x1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) 0(0(1(1(1(0(0(1(0(0(1(1(0(0(0(0(0(0(1(1(1(1(0(0(0(0(1(0(0(0(1(0(0(1(1(0(1(1(0(1(1(0(0(0(0(0(0(1(1(1(0(1(1(1(1(0(0(1(0(1(1(0(1(0(0(1(1(1(1(1(1(1(0(0(1(1(1(1(0(0(1(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 0(0(1(1(1(0(0(1(0(0(1(1(0(0(0(0(0(0(1(1(1(1(0(0(0(0(1(0(0(0(1(0(0(1(1(0(1(1(0(1(1(0(0(0(1(0(0(0(1(0(1(0(1(1(0(1(0(0(0(0(1(1(0(0(0(0(1(1(1(1(1(0(1(0(1(0(1(1(1(0(0(1(x1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) 0(0(1(1(1(0(0(1(0(0(1(1(0(0(0(0(0(0(1(1(1(1(0(0(0(0(1(0(0(0(1(0(0(1(1(0(1(1(0(1(1(0(0(0(0(0(0(1(1(1(0(1(1(1(1(0(0(1(0(1(1(0(1(0(0(1(1(1(1(1(1(1(0(0(1(1(1(1(0(0(1(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 0(0(1(1(1(0(0(1(0(0(1(1(0(0(0(0(0(0(1(1(1(1(0(0(0(0(1(0(0(0(1(0(0(1(1(0(1(1(0(1(1(0(0(0(1(0(0(0(1(0(1(0(1(1(0(1(1(1(0(0(1(0(1(0(1(1(0(1(0(1(0(1(1(0(0(1(0(0(0(0(1(1(x1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) 0(0(1(1(1(0(0(1(0(0(1(1(0(0(0(0(0(0(1(1(1(1(0(0(0(0(1(0(0(0(1(0(0(1(1(0(1(1(0(1(1(0(0(0(0(0(0(1(1(1(0(1(1(1(1(0(0(1(0(1(1(0(1(0(0(1(1(1(1(1(1(1(0(0(1(1(1(1(0(0(1(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 0(1(0(1(1(0(1(1(0(0(1(0(1(1(1(0(0(1(0(1(0(0(1(0(1(0(1(0(1(1(1(1(1(1(0(1(0(0(0(0(0(0(0(0(1(1(1(0(1(0(0(0(0(0(0(1(1(0(0(1(0(0(1(1(0(1(0(0(0(1(0(0(1(1(0(1(0(0(1(0(1(1(x1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) 0(0(1(1(1(0(0(1(0(0(1(1(0(0(0(0(0(0(1(1(1(1(0(0(0(0(1(0(0(0(1(0(0(1(1(0(1(1(0(1(1(0(0(0(0(0(0(1(1(1(0(1(1(1(1(0(0(1(1(1(1(1(1(0(0(1(0(0(0(0(0(0(0(1(0(1(0(1(1(0(1(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 0(0(1(0(0(1(0(0(0(0(1(0(1(0(0(0(1(1(1(0(1(1(0(1(0(0(1(1(1(1(0(1(1(1(1(0(0(0(1(0(1(0(0(0(1(1(0(0(1(0(1(1(1(0(0(1(0(1(1(1(0(0(1(0(0(0(1(0(0(1(1(1(1(0(1(1(1(1(1(0(0(1(x1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) 0(0(1(1(1(0(0(1(0(0(1(1(0(0(0(0(0(0(1(1(1(1(0(0(0(0(1(0(0(0(1(0(0(1(1(0(1(1(0(1(1(0(0(0(0(0(0(1(1(1(0(1(1(1(1(0(0(1(1(1(1(1(1(0(0(1(0(0(0(0(0(0(0(1(0(1(0(1(1(0(1(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 0(0(1(0(0(1(0(0(0(0(1(0(1(0(0(0(1(1(1(0(1(1(0(1(0(0(1(1(1(1(0(1(1(1(1(0(0(0(1(0(1(0(0(0(1(1(0(0(1(0(1(1(1(0(0(1(0(1(1(1(0(0(1(0(0(0(1(0(0(1(1(1(1(0(1(1(1(1(1(1(0(1(x1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) encArg(1(x_1)) -> 1(encArg(x_1)) encArg(cons_0(x_1)) -> 0(encArg(x_1)) encode_0(x_1) -> 0(encArg(x_1)) encode_1(x_1) -> 1(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. 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(2642,2643,[0_1|2]), (2643,2644,[0_1|2]), (2644,2645,[1_1|2]), (2645,2646,[0_1|2]), (2646,2647,[1_1|2]), (2647,2648,[0_1|2]), (2648,2649,[0_1|2]), (2649,2650,[1_1|2]), (2650,2651,[0_1|2]), (2651,2652,[1_1|2]), (2652,2653,[0_1|2]), (2653,2654,[1_1|2]), (2654,2655,[0_1|2]), (2655,2656,[1_1|2]), (2656,2657,[1_1|2]), (2657,2658,[1_1|2]), (2658,2659,[1_1|2]), (2659,2660,[1_1|2]), (2660,2661,[1_1|2]), (2661,2662,[0_1|2]), (2662,2663,[1_1|2]), (2663,2664,[0_1|2]), (2664,2665,[0_1|2]), (2665,2666,[0_1|2]), (2666,2667,[0_1|2]), (2667,2668,[0_1|2]), (2668,2669,[0_1|2]), (2669,2670,[0_1|2]), (2670,2671,[0_1|2]), (2671,2672,[1_1|2]), (2672,2673,[1_1|2]), (2673,2674,[1_1|2]), (2674,2675,[0_1|2]), (2675,2676,[1_1|2]), (2676,2677,[0_1|2]), (2677,2678,[0_1|2]), (2678,2679,[0_1|2]), (2679,2680,[0_1|2]), (2680,2681,[0_1|2]), (2681,2682,[0_1|2]), (2682,2683,[1_1|2]), (2683,2684,[1_1|2]), (2684,2685,[0_1|2]), (2685,2686,[0_1|2]), (2686,2687,[1_1|2]), (2687,2688,[0_1|2]), (2688,2689,[0_1|2]), (2689,2690,[1_1|2]), (2690,2691,[1_1|2]), (2691,2692,[0_1|2]), (2692,2693,[1_1|2]), (2693,2694,[0_1|2]), (2694,2695,[0_1|2]), (2695,2696,[0_1|2]), (2696,2697,[1_1|2]), (2697,2698,[0_1|2]), (2698,2699,[0_1|2]), (2699,2700,[1_1|2]), (2700,2701,[1_1|2]), (2701,2702,[0_1|2]), (2702,2703,[0_1|2]), (2703,2704,[1_1|2]), (2704,2705,[1_1|2]), (2705,2706,[0_1|2]), (2705,1004,[0_1|2]), (2705,1086,[0_1|2]), (2705,2466,[0_1|2]), (2705,1167,[0_1|2]), (2705,2547,[0_1|2]), (2705,1249,[0_1|2]), (2705,2628,[0_1|2]), (2705,1330,[0_1|2]), (2705,1411,[0_1|2]), (2705,1492,[0_1|2]), (2705,1897,[0_1|2]), (2705,2709,[0_1|2]), (2705,2790,[0_1|2]), (2705,1573,[0_1|2]), (2705,1654,[0_1|2]), (2705,2222,[0_1|2]), (2705,2303,[0_1|2]), (2705,1735,[0_1|2]), (2705,2385,[0_1|2]), (2706,2707,[0_1|2]), (2707,2708,[1_1|2]), (2708,31,[1_1|2]), (2708,278,[1_1|2]), (2708,359,[1_1|2]), (2708,440,[1_1|2]), (2708,845,[1_1|2]), (2708,926,[1_1|2]), (2708,1089,[1_1|2]), (2708,1495,[1_1|2]), (2708,1576,[1_1|2]), (2708,1657,[1_1|2]), (2708,1982,[1_1|2]), (2709,2710,[0_1|2]), (2710,2711,[1_1|2]), (2711,2712,[0_1|2]), (2712,2713,[0_1|2]), (2713,2714,[1_1|2]), (2714,2715,[0_1|2]), (2715,2716,[0_1|2]), (2716,2717,[0_1|2]), (2717,2718,[0_1|2]), (2718,2719,[1_1|2]), (2719,2720,[0_1|2]), (2720,2721,[1_1|2]), (2721,2722,[0_1|2]), (2722,2723,[0_1|2]), (2723,2724,[0_1|2]), (2724,2725,[1_1|2]), (2725,2726,[1_1|2]), (2726,2727,[1_1|2]), (2727,2728,[0_1|2]), (2728,2729,[1_1|2]), (2729,2730,[1_1|2]), (2730,2731,[0_1|2]), (2731,2732,[1_1|2]), (2732,2733,[0_1|2]), (2733,2734,[0_1|2]), (2734,2735,[1_1|2]), (2735,2736,[1_1|2]), (2736,2737,[1_1|2]), (2737,2738,[1_1|2]), (2738,2739,[0_1|2]), (2739,2740,[1_1|2]), (2740,2741,[1_1|2]), (2741,2742,[1_1|2]), (2742,2743,[1_1|2]), (2743,2744,[0_1|2]), (2744,2745,[0_1|2]), (2745,2746,[0_1|2]), (2746,2747,[1_1|2]), (2747,2748,[0_1|2]), (2748,2749,[1_1|2]), (2749,2750,[0_1|2]), (2750,2751,[0_1|2]), (2751,2752,[0_1|2]), (2752,2753,[1_1|2]), (2753,2754,[1_1|2]), (2754,2755,[0_1|2]), (2755,2756,[0_1|2]), (2756,2757,[1_1|2]), (2757,2758,[0_1|2]), (2758,2759,[1_1|2]), (2759,2760,[1_1|2]), (2760,2761,[1_1|2]), (2761,2762,[0_1|2]), (2762,2763,[0_1|2]), (2763,2764,[1_1|2]), (2764,2765,[0_1|2]), (2765,2766,[1_1|2]), (2766,2767,[1_1|2]), (2767,2768,[1_1|2]), (2768,2769,[0_1|2]), (2769,2770,[0_1|2]), (2770,2771,[1_1|2]), (2771,2772,[0_1|2]), (2772,2773,[0_1|2]), (2773,2774,[0_1|2]), (2774,2775,[1_1|2]), (2775,2776,[0_1|2]), (2776,2777,[0_1|2]), (2777,2778,[1_1|2]), (2778,2779,[1_1|2]), (2779,2780,[1_1|2]), (2780,2781,[1_1|2]), (2781,2782,[1_1|2]), (2782,2783,[1_1|2]), (2783,2784,[0_1|2]), (2784,2785,[1_1|2]), (2785,2786,[0_1|2]), (2786,2787,[0_1|2]), (2787,2788,[0_1|2]), (2787,32,[0_1|2]), (2787,113,[0_1|2]), (2787,194,[0_1|2]), (2787,275,[0_1|2]), (2787,356,[0_1|2]), (2787,437,[0_1|2]), (2787,518,[0_1|2]), (2787,599,[0_1|2]), (2787,680,[0_1|2]), (2787,761,[0_1|2]), (2787,842,[0_1|2]), (2787,923,[0_1|2]), (2787,1816,[0_1|2]), (2787,1004,[0_1|2]), (2787,1086,[0_1|2]), (2787,1167,[0_1|2]), (2787,1249,[0_1|2]), (2787,1330,[0_1|2]), (2787,1411,[0_1|2]), (2787,1492,[0_1|2]), (2787,1897,[0_1|2]), (2787,1979,[0_1|2]), (2787,2060,[0_1|2]), (2787,1573,[0_1|2]), (2787,1654,[0_1|2]), (2787,2141,[0_1|2]), (2787,2222,[0_1|2]), (2787,2303,[0_1|2]), (2787,1735,[0_1|2]), (2787,2385,[0_1|2]), (2788,2789,[0_1|2]), (2789,31,[1_1|2]), (2789,519,[1_1|2]), (2789,600,[1_1|2]), (2789,681,[1_1|2]), (2789,1005,[1_1|2]), (2789,1168,[1_1|2]), (2789,1250,[1_1|2]), (2789,1331,[1_1|2]), (2789,34,[1_1|2]), (2789,115,[1_1|2]), (2789,196,[1_1|2]), (2789,277,[1_1|2]), (2789,358,[1_1|2]), (2789,439,[1_1|2]), (2789,763,[1_1|2]), (2789,844,[1_1|2]), (2789,925,[1_1|2]), (2789,1088,[1_1|2]), (2789,1413,[1_1|2]), (2789,1494,[1_1|2]), (2789,1575,[1_1|2]), (2789,1656,[1_1|2]), (2789,1737,[1_1|2]), (2789,1898,[1_1|2]), (2789,2061,[1_1|2]), (2789,2223,[1_1|2]), (2789,2304,[1_1|2]), (2789,1818,[1_1|2]), (2789,1981,[1_1|2]), (2789,2143,[1_1|2]), (2789,2387,[1_1|2]), (2790,2791,[0_1|2]), (2791,2792,[1_1|2]), (2792,2793,[0_1|2]), (2793,2794,[0_1|2]), (2794,2795,[1_1|2]), (2795,2796,[0_1|2]), (2796,2797,[0_1|2]), (2797,2798,[0_1|2]), (2798,2799,[0_1|2]), (2799,2800,[1_1|2]), (2800,2801,[0_1|2]), (2801,2802,[1_1|2]), (2802,2803,[0_1|2]), (2803,2804,[0_1|2]), (2804,2805,[0_1|2]), (2805,2806,[1_1|2]), (2806,2807,[1_1|2]), (2807,2808,[1_1|2]), (2808,2809,[0_1|2]), (2809,2810,[1_1|2]), (2810,2811,[1_1|2]), (2811,2812,[0_1|2]), (2812,2813,[1_1|2]), (2813,2814,[1_1|2]), (2814,2815,[1_1|2]), (2815,2816,[1_1|2]), (2816,2817,[0_1|2]), (2817,2818,[0_1|2]), (2818,2819,[0_1|2]), (2819,2820,[1_1|2]), (2820,2821,[1_1|2]), (2821,2822,[0_1|2]), (2822,2823,[1_1|2]), (2823,2824,[1_1|2]), (2824,2825,[1_1|2]), (2825,2826,[1_1|2]), (2826,2827,[0_1|2]), (2827,2828,[1_1|2]), (2828,2829,[1_1|2]), (2829,2830,[0_1|2]), (2830,2831,[1_1|2]), (2831,2832,[0_1|2]), (2832,2833,[0_1|2]), (2833,2834,[1_1|2]), (2834,2835,[0_1|2]), (2835,2836,[1_1|2]), (2836,2837,[1_1|2]), (2837,2838,[0_1|2]), (2838,2839,[0_1|2]), (2839,2840,[1_1|2]), (2840,2841,[1_1|2]), (2841,2842,[0_1|2]), (2842,2843,[1_1|2]), (2843,2844,[1_1|2]), (2844,2845,[0_1|2]), (2845,2846,[1_1|2]), (2846,2847,[0_1|2]), (2847,2848,[0_1|2]), (2848,2849,[1_1|2]), (2849,2850,[0_1|2]), (2850,2851,[1_1|2]), (2851,2852,[1_1|2]), (2852,2853,[1_1|2]), (2853,2854,[1_1|2]), (2854,2855,[0_1|2]), (2855,2856,[1_1|2]), (2856,2857,[0_1|2]), (2857,2858,[0_1|2]), (2858,2859,[1_1|2]), (2859,2860,[1_1|2]), (2860,2861,[1_1|2]), (2861,2862,[0_1|2]), (2862,2863,[1_1|2]), (2863,2864,[0_1|2]), (2864,2865,[0_1|2]), (2865,2866,[0_1|2]), (2866,2867,[1_1|2]), (2867,2868,[0_1|2]), (2868,2869,[1_1|2]), (2869,2870,[0_1|2]), (2870,31,[1_1|2]), (2870,519,[1_1|2]), (2870,600,[1_1|2]), (2870,681,[1_1|2]), (2870,1005,[1_1|2]), (2870,1168,[1_1|2]), (2870,1250,[1_1|2]), (2870,1331,[1_1|2]), (2870,34,[1_1|2]), (2870,115,[1_1|2]), (2870,196,[1_1|2]), (2870,277,[1_1|2]), (2870,358,[1_1|2]), (2870,439,[1_1|2]), (2870,763,[1_1|2]), (2870,844,[1_1|2]), (2870,925,[1_1|2]), (2870,1088,[1_1|2]), (2870,1413,[1_1|2]), (2870,1494,[1_1|2]), (2870,1575,[1_1|2]), (2870,1656,[1_1|2]), (2870,1737,[1_1|2]), (2870,1898,[1_1|2]), (2870,2061,[1_1|2]), (2870,2223,[1_1|2]), (2870,2304,[1_1|2]), (2870,1818,[1_1|2]), (2870,1981,[1_1|2]), (2870,2143,[1_1|2]), (2870,2387,[1_1|2]), (2871,2872,[1_1|2]), (2872,2873,[0_1|2]), (2873,2874,[1_1|2]), (2874,2875,[1_1|2]), (2875,2876,[0_1|2]), (2876,2877,[1_1|2]), (2877,2878,[1_1|2]), (2878,2879,[0_1|2]), (2879,2880,[0_1|2]), (2880,2881,[1_1|2]), (2881,2882,[0_1|2]), (2882,2883,[1_1|2]), (2883,2884,[1_1|2]), (2884,2885,[1_1|2]), (2885,2886,[0_1|2]), (2886,2887,[0_1|2]), (2887,2888,[1_1|2]), (2888,2889,[0_1|2]), (2889,2890,[1_1|2]), (2890,2891,[0_1|2]), (2891,2892,[0_1|2]), (2892,2893,[1_1|2]), (2893,2894,[0_1|2]), (2894,2895,[1_1|2]), (2895,2896,[0_1|2]), (2896,2897,[1_1|2]), (2897,2898,[0_1|2]), (2898,2899,[1_1|2]), (2899,2900,[1_1|2]), (2900,2901,[1_1|2]), (2901,2902,[1_1|2]), (2902,2903,[1_1|2]), (2903,2904,[1_1|2]), (2904,2905,[0_1|2]), (2905,2906,[1_1|2]), (2906,2907,[0_1|2]), (2907,2908,[0_1|2]), (2908,2909,[0_1|2]), (2909,2910,[0_1|2]), (2910,2911,[0_1|2]), (2911,2912,[0_1|2]), (2912,2913,[0_1|2]), (2913,2914,[0_1|2]), (2914,2915,[1_1|2]), (2915,2916,[1_1|2]), (2916,2917,[1_1|2]), (2917,2918,[0_1|2]), (2918,2919,[1_1|2]), (2919,2920,[0_1|2]), (2920,2921,[0_1|2]), (2921,2922,[0_1|2]), (2922,2923,[0_1|2]), (2923,2924,[0_1|2]), (2924,2925,[0_1|2]), (2925,2926,[1_1|2]), (2926,2927,[1_1|2]), (2927,2928,[0_1|2]), (2928,2929,[0_1|2]), (2929,2930,[1_1|2]), (2930,2931,[0_1|2]), (2931,2932,[0_1|2]), (2932,2933,[1_1|2]), (2933,2934,[1_1|2]), (2934,2935,[0_1|2]), (2935,2936,[1_1|2]), (2936,2937,[0_1|2]), (2937,2938,[0_1|2]), (2938,2939,[0_1|2]), (2939,2940,[1_1|2]), (2940,2941,[1_1|2]), (2941,2942,[0_1|2]), (2942,2943,[1_1|2]), (2943,2944,[1_1|2]), (2944,2945,[0_1|2]), (2945,2946,[1_1|2]), (2946,2947,[1_1|2]), (2947,2948,[0_1|2]), (2948,2949,[1_1|2]), (2949,2950,[0_1|2]), (2950,2951,[0_1|2]), (2951,2952,[1_1|2]), (2952,1816,[0_1|2]), (2952,1897,[0_1|2]), (2952,1979,[0_1|2]), (2952,2060,[0_1|2]), (2952,2141,[0_1|2]), (2952,2222,[0_1|2]), (2952,2303,[0_1|2]), (2952,2385,[0_1|2]), (2952,1902,[0_1|2]), (2952,2065,[0_1|2]), (2952,2227,[0_1|2]), (2952,2308,[0_1|2])}" ---------------------------------------- (8) BOUNDS(1, n^1)