TSTP Solution File: SEU391+1 by Vampire-SAT---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SEU391+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n008.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Sun May 5 09:38:43 EDT 2024
% Result : Theorem 0.18s 0.48s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 27
% Number of leaves : 142
% Syntax : Number of formulae : 2376 ( 260 unt; 0 def)
% Number of atoms : 7492 ( 594 equ)
% Maximal formula atoms : 28 ( 3 avg)
% Number of connectives : 8239 (3123 ~;3866 |;1086 &)
% ( 20 <=>; 141 =>; 0 <=; 3 <~>)
% Maximal formula depth : 22 ( 5 avg)
% Maximal term depth : 9 ( 2 avg)
% Number of predicates : 56 ( 54 usr; 13 prp; 0-3 aty)
% Number of functors : 47 ( 47 usr; 18 con; 0-3 aty)
% Number of variables : 3122 (2984 !; 138 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3118,plain,
$false,
inference(avatar_sat_refutation,[],[f670,f701,f711,f718,f719,f721,f723,f725,f828,f832,f833,f834,f2453,f2523,f2709,f2726,f3088,f3102,f3110,f3112,f3115,f3117]) ).
fof(f3117,plain,
( ~ spl41_1
| spl41_2 ),
inference(avatar_contradiction_clause,[],[f3116]) ).
fof(f3116,plain,
( $false
| ~ spl41_1
| spl41_2 ),
inference(global_subsumption,[],[f668,f351,f353,f364,f363,f362,f361,f360,f385,f384,f383,f382,f381,f380,f379,f378,f377,f376,f375,f374,f373,f396,f395,f394,f393,f392,f391,f390,f389,f388,f387,f386,f397,f412,f622,f411,f623,f410,f624,f409,f625,f408,f626,f407,f627,f406,f628,f405,f629,f404,f630,f403,f631,f402,f632,f401,f633,f399,f634,f468,f480,f635,f491,f492,f494,f345,f346,f347,f352,f541,f542,f543,f544,f545,f546,f547,f548,f549,f550,f551,f552,f553,f554,f555,f556,f557,f558,f559,f560,f561,f562,f563,f564,f565,f566,f567,f568,f569,f570,f571,f572,f573,f574,f575,f576,f577,f578,f579,f580,f581,f582,f583,f584,f585,f586,f587,f588,f589,f590,f591,f592,f593,f594,f595,f596,f597,f598,f599,f600,f601,f602,f603,f604,f605,f606,f607,f608,f609,f610,f611,f612,f613,f614,f615,f616,f617,f618,f619,f620,f348,f354,f355,f356,f357,f358,f359,f365,f366,f367,f368,f369,f370,f371,f372,f398,f510,f512,f513,f514,f413,f429,f431,f447,f448,f449,f463,f464,f466,f467,f476,f508,f400,f415,f417,f418,f420,f421,f426,f427,f430,f509,f637,f638,f640,f529,f424,f433,f434,f435,f437,f511,f515,f516,f530,f531,f349,f414,f416,f419,f423,f674,f486,f673,f487,f490,f493,f496,f504,f505,f527,f528,f422,f428,f684,f692,f439,f689,f681,f686,f441,f442,f484,f485,f517,f752,f760,f518,f764,f747,f761,f766,f767,f769,f750,f754,f755,f756,f519,f779,f771,f773,f775,f777,f522,f524,f538,f781,f782,f783,f539,f682,f683,f728,f729,f735,f736,f751,f757,f758,f794,f797,f425,f800,f780,f805,f432,f498,f499,f540,f810,f821,f450,f818,f839,f841,f846,f847,f842,f807,f804,f806,f453,f858,f859,f808,f861,f868,f869,f809,f872,f877,f878,f881,f882,f816,f883,f884,f885,f817,f887,f888,f889,f456,f856,f840,f891,f893,f894,f895,f879,f886,f890,f843,f900,f902,f903,f904,f457,f483,f489,f495,f916,f532,f920,f537,f925,f933,f936,f937,f938,f951,f940,f953,f955,f959,f957,f961,f964,f962,f966,f967,f968,f971,f972,f974,f975,f976,f977,f980,f981,f973,f989,f992,f990,f436,f1007,f1008,f1009,f1011,f1012,f1013,f1014,f1015,f1016,f924,f930,f501,f1031,f1036,f1054,f1055,f1049,f1039,f1040,f1057,f1060,f1058,f1061,f1038,f1064,f1063,f1065,f1066,f1067,f1068,f1069,f503,f1056,f1076,f1059,f1080,f1079,f1081,f1082,f1083,f1084,f1085,f1070,f1087,f1089,f1090,f1091,f1092,f1093,f1094,f1097,f1098,f1088,f1106,f1107,f1108,f472,f1075,f1127,f1128,f1120,f1078,f1111,f1130,f1132,f1133,f1131,f1086,f1136,f1138,f1139,f1140,f1141,f1142,f1143,f1146,f1147,f1137,f1157,f1158,f1159,f497,f1160,f1161,f1165,f1164,f1134,f931,f1169,f1176,f1197,f1198,f1190,f1179,f1180,f1201,f1204,f1202,f525,f1207,f1209,f1210,f1211,f1213,f1214,f1215,f1216,f1217,f1218,f1219,f1220,f1221,f1222,f1223,f1224,f1226,f1227,f1228,f1230,f1231,f1232,f1233,f1234,f1235,f1236,f1237,f1238,f1239,f1240,f1205,f1178,f1277,f1278,f1279,f1280,f1283,f1276,f1284,f1285,f1286,f1287,f1288,f1289,f1290,f1291,f526,f1297,f1170,f1307,f1199,f1315,f1200,f1323,f1203,f1350,f1351,f1352,f1353,f1356,f478,f1357,f1349,f1358,f1359,f1360,f1361,f1362,f1363,f1364,f1365,f1306,f1386,f1387,f1377,f1309,f1314,f1411,f1412,f1402,f1317,f1322,f1436,f1437,f1427,f1325,f500,f1442,f1444,f1446,f1367,f1390,f1473,f1474,f1391,f1392,f502,f1477,f1479,f1481,f1415,f1482,f1483,f1416,f1417,f1440,f1486,f1487,f1441,f1475,f520,f1490,f1491,f1492,f1493,f1494,f1495,f1496,f1497,f1498,f1499,f1500,f1501,f1484,f1488,f932,f1510,f1513,f1514,f1525,f1549,f1550,f1540,f1528,f1529,f1554,f1557,f1555,f521,f1560,f1561,f1562,f1563,f1564,f1565,f1566,f1567,f1568,f1569,f1570,f1571,f1558,f1527,f1574,f1575,f1576,f1577,f1578,f1579,f1580,f1581,f1584,f1573,f1585,f1586,f1587,f1588,f1589,f1590,f1591,f1592,f507,f1515,f1600,f1518,f1608,f1551,f1616,f1552,f1624,f1553,f1632,f488,f1662,f1665,f1556,f1667,f1668,f1669,f1670,f1671,f1672,f1673,f1674,f1677,f1666,f1678,f1679,f1680,f1681,f1682,f1683,f1684,f1685,f1599,f1712,f1713,f1701,f1602,f1607,f1741,f1742,f1730,f1610,f1615,f1770,f1771,f1759,f1618,f1623,f1799,f1800,f1788,f1626,f1631,f1828,f1829,f1817,f1634,f1689,f1835,f1837,f1838,f1690,f1717,f1867,f1868,f1718,f1719,f506,f1871,f1873,f1875,f1746,f1876,f1877,f1747,f1748,f1775,f1880,f1881,f1776,f1777,f1804,f1884,f1885,f1805,f523,f1888,f1889,f1890,f1892,f1806,f1833,f1893,f1894,f1834,f1869,f1878,f1882,f534,f1897,f1898,f1899,f1900,f1901,f1902,f1903,f1904,f1905,f1906,f1907,f1908,f1909,f1910,f1913,f1886,f1895,f1918,f1919,f1920,f1921,f1922,f1923,f1924,f1925,f1926,f1927,f1928,f1929,f1930,f1931,f1932,f1935,f954,f1957,f1958,f1959,f1960,f1961,f1962,f1950,f1953,f1037,f1963,f1964,f1965,f1966,f1967,f1968,f1969,f1970,f1971,f1972,f1973,f1974,f1975,f1976,f1979,f1177,f1981,f1982,f1983,f1984,f1985,f1986,f1987,f1988,f1989,f1990,f1991,f1992,f1993,f1994,f1997,f1526,f1999,f2000,f2001,f2002,f2003,f2004,f2005,f2006,f2007,f2008,f2009,f2010,f2011,f2012,f2015,f1077,f2018,f2019,f2020,f2021,f2022,f2023,f2024,f2025,f2026,f2027,f2028,f2029,f2030,f2033,f2017,f2034,f2035,f2036,f2037,f2038,f2039,f2040,f2041,f535,f533,f2046,f2048,f2050,f1308,f2052,f2053,f2054,f2055,f2056,f2057,f2058,f2059,f2060,f2061,f2062,f2063,f2064,f2067,f2051,f2068,f2069,f2070,f2071,f2072,f2073,f2074,f2075,f621,f2080,f2081,f2082,f2120,f2119,f2085,f2123,f2124,f2125,f2126,f2127,f2118,f2128,f2129,f2130,f2131,f2133,f2098,f2134,f2135,f2136,f2137,f2138,f2139,f2140,f2141,f2142,f2143,f2144,f2145,f2147,f2113,f1316,f2149,f2150,f2151,f2152,f2153,f2154,f2155,f2156,f2157,f2158,f2159,f2160,f2161,f2164,f2148,f2165,f2166,f2167,f2168,f2169,f2170,f2171,f2172,f835,f1324,f2179,f2180,f2181,f2182,f2183,f2184,f2185,f2186,f2187,f2188,f2189,f2190,f2191,f2194,f2178,f2195,f2196,f2197,f2198,f2199,f2200,f2201,f2202,f836,f1601,f2209,f2210,f2211,f2212,f2213,f2214,f2215,f2216,f2217,f2218,f2219,f2220,f2221,f2224,f837,f2208,f2226,f2227,f2228,f2229,f2230,f2231,f2232,f2233,f913,f1609,f2239,f2240,f2241,f2242,f2243,f2244,f2245,f2246,f2247,f2248,f2249,f2250,f2251,f2254,f2238,f2255,f2256,f2257,f2258,f2259,f2260,f2261,f2262,f915,f2269,f1617,f2272,f2273,f2274,f2275,f2276,f2277,f2278,f2279,f2280,f2281,f2282,f2283,f2284,f2287,f2271,f2288,f2289,f2290,f2291,f2292,f2293,f2294,f2295,f917,f1625,f2301,f2302,f2303,f2304,f2305,f2306,f2307,f2308,f2309,f2310,f2311,f2312,f2313,f2316,f2300,f2317,f2318,f2319,f2320,f2321,f2322,f2323,f2324,f919,f2331,f921,f2334,f2335,f2333,f1633,f2337,f2338,f2339,f2340,f2341,f2342,f2343,f2344,f2345,f2346,f2347,f2348,f2349,f2352,f2336,f2353,f2354,f2355,f2356,f2357,f2358,f2359,f2360,f923,f2365,f2367,f2370,f2371,f969,f2372,f2374,f2375,f2376,f2377,f2378,f2379,f2380,f2381,f2382,f2383,f2384,f2385,f2386,f2387,f2388,f2389,f2390,f2391,f2392,f970,f2400,f2402,f2403,f2404,f2405,f2406,f2407,f2408,f2409,f2410,f2411,f2412,f2413,f2414,f2415,f2416,f2417,f2418,f2419,f2420,f1129,f2431,f2432,f2433,f2434,f2430,f1171,f2441,f2442,f2443,f2444,f2440,f926,f2455,f2456,f2462,f2463,f2464,f2465,f2466,f2467,f2468,f2469,f2471,f2472,f2473,f2475,f2476,f2477,f2498,f2499,f2500,f2501,f2502,f2503,f2504,f2505,f2506,f2494,f2497,f2479,f2527,f2528,f2529,f2530,f2531,f2532,f2533,f2534,f2535,f2536,f2537,f2538,f2539,f2540,f2543,f2470,f2545,f2546,f2547,f2548,f2549,f2550,f2551,f2552,f2553,f2554,f2555,f2556,f2557,f2558,f2561,f2474,f2563,f2564,f2565,f2566,f2567,f2568,f2569,f2570,f2571,f2572,f2573,f2574,f2575,f2576,f2579,f2478,f2581,f2582,f2583,f2584,f2585,f2586,f2587,f2588,f2589,f2590,f2591,f2592,f2593,f2594,f2597,f1388,f2605,f2606,f2607,f2608,f2604,f1389,f2615,f2616,f2617,f2618,f2614,f927,f2620,f1413,f2627,f2628,f2629,f2630,f2626,f1414,f2637,f2638,f2639,f2640,f2636,f1438,f2647,f2648,f2649,f2650,f2646,f1439,f2657,f2658,f2659,f2660,f2656,f1516,f2667,f2668,f2669,f2670,f2666,f1517,f2677,f2678,f2679,f2680,f2676,f1519,f2687,f2688,f2689,f2690,f2686,f1520,f2697,f2698,f2699,f2700,f2696,f934,f2728,f1714,f2738,f2739,f2740,f2741,f2737,f1715,f2748,f2749,f2750,f2751,f2747,f1716,f2758,f2759,f2760,f2761,f2757,f1743,f2768,f2769,f2770,f2771,f2767,f1744,f2778,f2779,f2780,f2781,f2777,f1745,f2788,f2789,f2790,f2791,f2787,f935,f2793,f1772,f2800,f2801,f2802,f2803,f2799,f1773,f2810,f2811,f2812,f2813,f2809,f1774,f2820,f2821,f2822,f2823,f2819,f1801,f2830,f2831,f2832,f2833,f2829,f1802,f2840,f2841,f2842,f2843,f2839,f1803,f2850,f2851,f2852,f2853,f2849,f1830,f2860,f2861,f2862,f2863,f2859,f1831,f2870,f2871,f2872,f2873,f2869,f1832,f2880,f2881,f2882,f2883,f2879,f1010,f2886,f2887,f2888,f2889,f1954,f2891,f2892,f2893,f2894,f2895,f2896,f2897,f2898,f2899,f2900,f2901,f2902,f2903,f2906,f2890,f2907,f2908,f2909,f2910,f2911,f2912,f2913,f2914,f2915,f2916,f1208,f2922,f2924,f2925,f2926,f2927,f2928,f2929,f2931,f2932,f2933,f2934,f2935,f2936,f2938,f2939,f2940,f2941,f2942,f2943,f2944,f2945,f2946,f2947,f2948,f2949,f2950,f2951,f2952,f2953,f2954,f2955,f2956,f2957,f2958,f2959,f2960,f2962,f2963,f2964,f1955,f2967,f2968,f2969,f2970,f2971,f2972,f2973,f2974,f2975,f2976,f2977,f2978,f2979,f2980,f2983,f2966,f2984,f2985,f2986,f2987,f2988,f2989,f2990,f2991,f2992,f2993,f1225,f2999,f3001,f3002,f3003,f3004,f3005,f3006,f3008,f3009,f3010,f3011,f3012,f3013,f3015,f3016,f3017,f3018,f3019,f3020,f3021,f3022,f3023,f3024,f3025,f3026,f3027,f3028,f3029,f3030,f3031,f3032,f3033,f3034,f3035,f3036,f3037,f3038,f3040,f3041,f3042,f1956,f3045,f3046,f3047,f3048,f3049,f3050,f3051,f3052,f3053,f3054,f3055,f3056,f3057,f3058,f3061,f3062,f3044,f3063,f3064,f3065,f3066,f3067,f3068,f3069,f3070,f3071,f3072,f350,f665,f3092,f3091,f3090,f3108,f3100,f3113]) ).
fof(f3113,plain,
( ~ element(sK6,powerset(the_carrier(sK4)))
| ~ is_eventually_in(sK4,sK5,sK6)
| ~ spl41_1 ),
inference(subsumption_resolution,[],[f351,f665]) ).
fof(f3100,plain,
( element(sK6,powerset(the_carrier(sK4)))
| ~ spl41_1 ),
inference(subsumption_resolution,[],[f3099,f665]) ).
fof(f3099,plain,
( ~ in(sK6,filter_of_net_str(sK4,sK5))
| element(sK6,powerset(the_carrier(sK4)))
| ~ spl41_1 ),
inference(forward_demodulation,[],[f3098,f1665]) ).
fof(f3098,plain,
( element(sK6,powerset(the_carrier(sK4)))
| ~ in(sK6,a_2_1_yellow19(sK4,sK5))
| ~ spl41_1 ),
inference(subsumption_resolution,[],[f3097,f345]) ).
fof(f3097,plain,
( element(sK6,powerset(the_carrier(sK4)))
| ~ in(sK6,a_2_1_yellow19(sK4,sK5))
| empty_carrier(sK4)
| ~ spl41_1 ),
inference(subsumption_resolution,[],[f3096,f346]) ).
fof(f3096,plain,
( element(sK6,powerset(the_carrier(sK4)))
| ~ in(sK6,a_2_1_yellow19(sK4,sK5))
| ~ one_sorted_str(sK4)
| empty_carrier(sK4)
| ~ spl41_1 ),
inference(subsumption_resolution,[],[f3095,f347]) ).
fof(f3095,plain,
( element(sK6,powerset(the_carrier(sK4)))
| ~ in(sK6,a_2_1_yellow19(sK4,sK5))
| empty_carrier(sK5)
| ~ one_sorted_str(sK4)
| empty_carrier(sK4)
| ~ spl41_1 ),
inference(subsumption_resolution,[],[f3093,f348]) ).
fof(f3093,plain,
( element(sK6,powerset(the_carrier(sK4)))
| ~ in(sK6,a_2_1_yellow19(sK4,sK5))
| ~ net_str(sK5,sK4)
| empty_carrier(sK5)
| ~ one_sorted_str(sK4)
| empty_carrier(sK4)
| ~ spl41_1 ),
inference(superposition,[],[f533,f3090]) ).
fof(f3108,plain,
( is_eventually_in(sK4,sK5,sK6)
| ~ spl41_1 ),
inference(subsumption_resolution,[],[f3107,f665]) ).
fof(f3107,plain,
( ~ in(sK6,filter_of_net_str(sK4,sK5))
| is_eventually_in(sK4,sK5,sK6)
| ~ spl41_1 ),
inference(forward_demodulation,[],[f3106,f1665]) ).
fof(f3106,plain,
( is_eventually_in(sK4,sK5,sK6)
| ~ in(sK6,a_2_1_yellow19(sK4,sK5))
| ~ spl41_1 ),
inference(subsumption_resolution,[],[f3105,f345]) ).
fof(f3105,plain,
( is_eventually_in(sK4,sK5,sK6)
| ~ in(sK6,a_2_1_yellow19(sK4,sK5))
| empty_carrier(sK4)
| ~ spl41_1 ),
inference(subsumption_resolution,[],[f3104,f346]) ).
fof(f3104,plain,
( is_eventually_in(sK4,sK5,sK6)
| ~ in(sK6,a_2_1_yellow19(sK4,sK5))
| ~ one_sorted_str(sK4)
| empty_carrier(sK4)
| ~ spl41_1 ),
inference(subsumption_resolution,[],[f3103,f347]) ).
fof(f3103,plain,
( is_eventually_in(sK4,sK5,sK6)
| ~ in(sK6,a_2_1_yellow19(sK4,sK5))
| empty_carrier(sK5)
| ~ one_sorted_str(sK4)
| empty_carrier(sK4)
| ~ spl41_1 ),
inference(subsumption_resolution,[],[f3094,f348]) ).
fof(f3094,plain,
( is_eventually_in(sK4,sK5,sK6)
| ~ in(sK6,a_2_1_yellow19(sK4,sK5))
| ~ net_str(sK5,sK4)
| empty_carrier(sK5)
| ~ one_sorted_str(sK4)
| empty_carrier(sK4)
| ~ spl41_1 ),
inference(superposition,[],[f535,f3090]) ).
fof(f3090,plain,
( sK6 = sK26(sK6,sK4,sK5)
| ~ spl41_1 ),
inference(resolution,[],[f665,f1918]) ).
fof(f3091,plain,
( ~ in(filter_of_net_str(sK4,sK5),sK6)
| ~ spl41_1 ),
inference(resolution,[],[f665,f515]) ).
fof(f3092,plain,
( ~ empty(filter_of_net_str(sK4,sK5))
| ~ spl41_1 ),
inference(resolution,[],[f665,f529]) ).
fof(f665,plain,
( in(sK6,filter_of_net_str(sK4,sK5))
| ~ spl41_1 ),
inference(avatar_component_clause,[],[f663]) ).
fof(f663,plain,
( spl41_1
<=> in(sK6,filter_of_net_str(sK4,sK5)) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_1])]) ).
fof(f350,plain,
( element(sK6,powerset(the_carrier(sK4)))
| in(sK6,filter_of_net_str(sK4,sK5)) ),
inference(cnf_transformation,[],[f268]) ).
fof(f268,plain,
( ( ~ element(sK6,powerset(the_carrier(sK4)))
| ~ is_eventually_in(sK4,sK5,sK6)
| ~ in(sK6,filter_of_net_str(sK4,sK5)) )
& ( ( element(sK6,powerset(the_carrier(sK4)))
& is_eventually_in(sK4,sK5,sK6) )
| in(sK6,filter_of_net_str(sK4,sK5)) )
& net_str(sK5,sK4)
& ~ empty_carrier(sK5)
& one_sorted_str(sK4)
& ~ empty_carrier(sK4) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK4,sK5,sK6])],[f264,f267,f266,f265]) ).
fof(f265,plain,
( ? [X0] :
( ? [X1] :
( ? [X2] :
( ( ~ element(X2,powerset(the_carrier(X0)))
| ~ is_eventually_in(X0,X1,X2)
| ~ in(X2,filter_of_net_str(X0,X1)) )
& ( ( element(X2,powerset(the_carrier(X0)))
& is_eventually_in(X0,X1,X2) )
| in(X2,filter_of_net_str(X0,X1)) ) )
& net_str(X1,X0)
& ~ empty_carrier(X1) )
& one_sorted_str(X0)
& ~ empty_carrier(X0) )
=> ( ? [X1] :
( ? [X2] :
( ( ~ element(X2,powerset(the_carrier(sK4)))
| ~ is_eventually_in(sK4,X1,X2)
| ~ in(X2,filter_of_net_str(sK4,X1)) )
& ( ( element(X2,powerset(the_carrier(sK4)))
& is_eventually_in(sK4,X1,X2) )
| in(X2,filter_of_net_str(sK4,X1)) ) )
& net_str(X1,sK4)
& ~ empty_carrier(X1) )
& one_sorted_str(sK4)
& ~ empty_carrier(sK4) ) ),
introduced(choice_axiom,[]) ).
fof(f266,plain,
( ? [X1] :
( ? [X2] :
( ( ~ element(X2,powerset(the_carrier(sK4)))
| ~ is_eventually_in(sK4,X1,X2)
| ~ in(X2,filter_of_net_str(sK4,X1)) )
& ( ( element(X2,powerset(the_carrier(sK4)))
& is_eventually_in(sK4,X1,X2) )
| in(X2,filter_of_net_str(sK4,X1)) ) )
& net_str(X1,sK4)
& ~ empty_carrier(X1) )
=> ( ? [X2] :
( ( ~ element(X2,powerset(the_carrier(sK4)))
| ~ is_eventually_in(sK4,sK5,X2)
| ~ in(X2,filter_of_net_str(sK4,sK5)) )
& ( ( element(X2,powerset(the_carrier(sK4)))
& is_eventually_in(sK4,sK5,X2) )
| in(X2,filter_of_net_str(sK4,sK5)) ) )
& net_str(sK5,sK4)
& ~ empty_carrier(sK5) ) ),
introduced(choice_axiom,[]) ).
fof(f267,plain,
( ? [X2] :
( ( ~ element(X2,powerset(the_carrier(sK4)))
| ~ is_eventually_in(sK4,sK5,X2)
| ~ in(X2,filter_of_net_str(sK4,sK5)) )
& ( ( element(X2,powerset(the_carrier(sK4)))
& is_eventually_in(sK4,sK5,X2) )
| in(X2,filter_of_net_str(sK4,sK5)) ) )
=> ( ( ~ element(sK6,powerset(the_carrier(sK4)))
| ~ is_eventually_in(sK4,sK5,sK6)
| ~ in(sK6,filter_of_net_str(sK4,sK5)) )
& ( ( element(sK6,powerset(the_carrier(sK4)))
& is_eventually_in(sK4,sK5,sK6) )
| in(sK6,filter_of_net_str(sK4,sK5)) ) ) ),
introduced(choice_axiom,[]) ).
fof(f264,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ( ~ element(X2,powerset(the_carrier(X0)))
| ~ is_eventually_in(X0,X1,X2)
| ~ in(X2,filter_of_net_str(X0,X1)) )
& ( ( element(X2,powerset(the_carrier(X0)))
& is_eventually_in(X0,X1,X2) )
| in(X2,filter_of_net_str(X0,X1)) ) )
& net_str(X1,X0)
& ~ empty_carrier(X1) )
& one_sorted_str(X0)
& ~ empty_carrier(X0) ),
inference(flattening,[],[f263]) ).
fof(f263,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ( ~ element(X2,powerset(the_carrier(X0)))
| ~ is_eventually_in(X0,X1,X2)
| ~ in(X2,filter_of_net_str(X0,X1)) )
& ( ( element(X2,powerset(the_carrier(X0)))
& is_eventually_in(X0,X1,X2) )
| in(X2,filter_of_net_str(X0,X1)) ) )
& net_str(X1,X0)
& ~ empty_carrier(X1) )
& one_sorted_str(X0)
& ~ empty_carrier(X0) ),
inference(nnf_transformation,[],[f157]) ).
fof(f157,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( in(X2,filter_of_net_str(X0,X1))
<~> ( element(X2,powerset(the_carrier(X0)))
& is_eventually_in(X0,X1,X2) ) )
& net_str(X1,X0)
& ~ empty_carrier(X1) )
& one_sorted_str(X0)
& ~ empty_carrier(X0) ),
inference(flattening,[],[f156]) ).
fof(f156,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( in(X2,filter_of_net_str(X0,X1))
<~> ( element(X2,powerset(the_carrier(X0)))
& is_eventually_in(X0,X1,X2) ) )
& net_str(X1,X0)
& ~ empty_carrier(X1) )
& one_sorted_str(X0)
& ~ empty_carrier(X0) ),
inference(ennf_transformation,[],[f93]) ).
fof(f93,negated_conjecture,
~ ! [X0] :
( ( one_sorted_str(X0)
& ~ empty_carrier(X0) )
=> ! [X1] :
( ( net_str(X1,X0)
& ~ empty_carrier(X1) )
=> ! [X2] :
( in(X2,filter_of_net_str(X0,X1))
<=> ( element(X2,powerset(the_carrier(X0)))
& is_eventually_in(X0,X1,X2) ) ) ) ),
inference(negated_conjecture,[],[f92]) ).
fof(f92,conjecture,
! [X0] :
( ( one_sorted_str(X0)
& ~ empty_carrier(X0) )
=> ! [X1] :
( ( net_str(X1,X0)
& ~ empty_carrier(X1) )
=> ! [X2] :
( in(X2,filter_of_net_str(X0,X1))
<=> ( element(X2,powerset(the_carrier(X0)))
& is_eventually_in(X0,X1,X2) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t11_yellow19) ).
fof(f3072,plain,
! [X0] :
( ~ empty(X0)
| empty_set = sK20(sK7(sK22(sK20(sK7(sK9(sK22(X0))))))) ),
inference(resolution,[],[f3044,f1086]) ).
fof(f3071,plain,
! [X0] :
( ~ empty(X0)
| empty_set = sK20(sK7(powerset(sK20(sK7(sK9(sK22(X0))))))) ),
inference(resolution,[],[f3044,f1070]) ).
fof(f3070,plain,
! [X0] :
( ~ empty(X0)
| empty_set = sK20(sK22(sK20(sK7(sK9(sK22(X0)))))) ),
inference(resolution,[],[f3044,f971]) ).
fof(f3069,plain,
! [X0,X1] :
( ~ empty(X0)
| sK20(sK22(X1)) = sK20(sK7(sK9(sK22(X0))))
| ~ empty(X1) ),
inference(resolution,[],[f3044,f970]) ).
fof(f3068,plain,
! [X0] :
( ~ empty(X0)
| empty_set = sK20(powerset(sK20(sK22(sK20(sK7(sK9(sK22(X0)))))))) ),
inference(resolution,[],[f3044,f969]) ).
fof(f3067,plain,
! [X0] :
( ~ empty(X0)
| empty_set = sK20(powerset(sK20(powerset(sK20(sK7(sK9(sK22(X0)))))))) ),
inference(resolution,[],[f3044,f843]) ).
fof(f3066,plain,
! [X0] :
( ~ empty(X0)
| empty_set = sK20(powerset(sK20(sK7(sK9(sK22(X0)))))) ),
inference(resolution,[],[f3044,f841]) ).
fof(f3065,plain,
! [X0,X1] :
( ~ empty(X0)
| sK20(powerset(X1)) = sK20(sK7(sK9(sK22(X0))))
| ~ empty(X1) ),
inference(resolution,[],[f3044,f840]) ).
fof(f3064,plain,
! [X0,X1] :
( ~ empty(X0)
| sK20(sK7(sK9(sK22(X0)))) = X1
| ~ empty(X1) ),
inference(resolution,[],[f3044,f528]) ).
fof(f3063,plain,
! [X0] :
( ~ empty(X0)
| empty_set = sK20(sK7(sK9(sK22(X0)))) ),
inference(resolution,[],[f3044,f430]) ).
fof(f3044,plain,
! [X0] :
( empty(sK20(sK7(sK9(sK22(X0)))))
| ~ empty(X0) ),
inference(resolution,[],[f1956,f747]) ).
fof(f3062,plain,
! [X0,X1] :
( ~ empty(X0)
| in(sK23(X1,sK20(sK7(sK9(sK22(X0))))),X1)
| sK20(sK7(sK9(sK22(X0)))) = X1 ),
inference(resolution,[],[f1956,f525]) ).
fof(f3061,plain,
! [X0,X1] :
( ~ empty(X0)
| sK20(sK7(sK9(sK22(X0)))) = X1
| ~ empty(X1) ),
inference(resolution,[],[f1956,f1225]) ).
fof(f3058,plain,
! [X0,X1] :
( ~ empty(X0)
| in(sK23(sK20(sK7(sK9(sK22(X0)))),X1),X1)
| sK20(sK7(sK9(sK22(X0)))) = X1 ),
inference(resolution,[],[f1956,f525]) ).
fof(f3057,plain,
! [X0,X1] :
( ~ empty(X0)
| sK20(sK7(sK9(sK22(X0)))) = X1
| ~ empty(X1) ),
inference(resolution,[],[f1956,f1208]) ).
fof(f3056,plain,
! [X0] :
( ~ empty(X0)
| empty(sK20(sK7(sK9(sK22(X0))))) ),
inference(resolution,[],[f1956,f1631]) ).
fof(f3055,plain,
! [X0] :
( ~ empty(X0)
| empty(sK20(sK7(sK9(sK22(X0))))) ),
inference(resolution,[],[f1956,f1623]) ).
fof(f3054,plain,
! [X0] :
( ~ empty(X0)
| empty(sK20(sK7(sK9(sK22(X0))))) ),
inference(resolution,[],[f1956,f1615]) ).
fof(f3053,plain,
! [X0] :
( ~ empty(X0)
| empty(sK20(sK7(sK9(sK22(X0))))) ),
inference(resolution,[],[f1956,f1525]) ).
fof(f3052,plain,
! [X0] :
( ~ empty(X0)
| empty(sK20(sK7(sK9(sK22(X0))))) ),
inference(resolution,[],[f1956,f1607]) ).
fof(f3051,plain,
! [X0] :
( ~ empty(X0)
| empty(sK20(sK7(sK9(sK22(X0))))) ),
inference(resolution,[],[f1956,f1322]) ).
fof(f3050,plain,
! [X0] :
( ~ empty(X0)
| empty(sK20(sK7(sK9(sK22(X0))))) ),
inference(resolution,[],[f1956,f1314]) ).
fof(f3049,plain,
! [X0] :
( ~ empty(X0)
| empty(sK20(sK7(sK9(sK22(X0))))) ),
inference(resolution,[],[f1956,f1176]) ).
fof(f3048,plain,
! [X0] :
( ~ empty(X0)
| empty(sK20(sK7(sK9(sK22(X0))))) ),
inference(resolution,[],[f1956,f1599]) ).
fof(f3047,plain,
! [X0] :
( ~ empty(X0)
| empty(sK20(sK7(sK9(sK22(X0))))) ),
inference(resolution,[],[f1956,f1306]) ).
fof(f3046,plain,
! [X0] :
( ~ empty(X0)
| empty(sK20(sK7(sK9(sK22(X0))))) ),
inference(resolution,[],[f1956,f1075]) ).
fof(f3045,plain,
! [X0] :
( ~ empty(X0)
| empty(sK20(sK7(sK9(sK22(X0))))) ),
inference(resolution,[],[f1956,f1036]) ).
fof(f1956,plain,
! [X0,X1] :
( ~ in(X1,sK20(sK7(sK9(sK22(X0)))))
| ~ empty(X0) ),
inference(subsumption_resolution,[],[f1941,f512]) ).
fof(f1941,plain,
! [X0,X1] :
( ~ empty(X0)
| ~ in(X1,sK20(sK7(sK9(sK22(X0)))))
| empty(sK22(X0)) ),
inference(resolution,[],[f954,f1599]) ).
fof(f3042,plain,
! [X0,X1] :
( sK22(X1) = X0
| ~ empty(X0)
| finite(sK23(X0,sK22(X1)))
| ~ finite(X1) ),
inference(resolution,[],[f1225,f955]) ).
fof(f3041,plain,
! [X0,X1] :
( sK22(X1) = X0
| ~ empty(X0)
| in(sK23(X0,sK22(X1)),powerset(X1)) ),
inference(resolution,[],[f1225,f957]) ).
fof(f3040,plain,
! [X2,X0,X1] :
( sK22(X1) = X0
| ~ empty(X0)
| ~ empty(X1)
| ~ in(X2,sK23(X0,sK22(X1))) ),
inference(resolution,[],[f1225,f954]) ).
fof(f3038,plain,
! [X0,X1] :
( sK20(sK22(X1)) = X0
| ~ empty(X0)
| element(sK23(X0,sK20(sK22(X1))),X1) ),
inference(resolution,[],[f1225,f2479]) ).
fof(f3037,plain,
! [X0,X1] :
( sK20(sK9(sK22(X1))) = X0
| ~ empty(X0)
| ~ empty(X1) ),
inference(resolution,[],[f1225,f1556]) ).
fof(f3036,plain,
! [X0,X1] :
( sK20(sK9(sK22(X1))) = X0
| ~ empty(X0)
| element(sK23(X0,sK20(sK9(sK22(X1)))),X1) ),
inference(resolution,[],[f1225,f2478]) ).
fof(f3035,plain,
! [X0,X1] :
( sK20(sK9(sK9(powerset(X1)))) = X0
| ~ empty(X0)
| ~ empty(X1) ),
inference(resolution,[],[f1225,f1633]) ).
fof(f3034,plain,
! [X0,X1] :
( sK20(sK9(sK8(powerset(X1)))) = X0
| ~ empty(X0)
| ~ empty(X1) ),
inference(resolution,[],[f1225,f1625]) ).
fof(f3033,plain,
! [X0,X1] :
( sK20(sK9(sK7(powerset(X1)))) = X0
| ~ empty(X0)
| ~ empty(X1) ),
inference(resolution,[],[f1225,f1617]) ).
fof(f3032,plain,
! [X0,X1] :
( sK20(sK9(powerset(X1))) = X0
| ~ empty(X0)
| ~ empty(X1) ),
inference(resolution,[],[f1225,f1527]) ).
fof(f3031,plain,
! [X0,X1] :
( sK20(sK9(powerset(X1))) = X0
| ~ empty(X0)
| element(sK23(X0,sK20(sK9(powerset(X1)))),X1) ),
inference(resolution,[],[f1225,f1526]) ).
fof(f3030,plain,
! [X0,X1] :
( sK20(sK8(sK22(X1))) = X0
| ~ empty(X0)
| ~ empty(X1) ),
inference(resolution,[],[f1225,f1203]) ).
fof(f3029,plain,
! [X0,X1] :
( sK20(sK8(sK22(X1))) = X0
| ~ empty(X0)
| element(sK23(X0,sK20(sK8(sK22(X1)))),X1) ),
inference(resolution,[],[f1225,f2474]) ).
fof(f3028,plain,
! [X0,X1] :
( sK20(sK8(sK9(powerset(X1)))) = X0
| ~ empty(X0)
| ~ empty(X1) ),
inference(resolution,[],[f1225,f1609]) ).
fof(f3027,plain,
! [X0,X1] :
( sK20(sK8(sK8(powerset(X1)))) = X0
| ~ empty(X0)
| ~ empty(X1) ),
inference(resolution,[],[f1225,f1324]) ).
fof(f3026,plain,
! [X0,X1] :
( sK20(sK8(sK7(powerset(X1)))) = X0
| ~ empty(X0)
| ~ empty(X1) ),
inference(resolution,[],[f1225,f1316]) ).
fof(f3025,plain,
! [X0,X1] :
( sK20(sK8(powerset(X1))) = X0
| ~ empty(X0)
| ~ empty(X1) ),
inference(resolution,[],[f1225,f1178]) ).
fof(f3024,plain,
! [X0,X1] :
( sK20(sK8(powerset(X1))) = X0
| ~ empty(X0)
| element(sK23(X0,sK20(sK8(powerset(X1)))),X1) ),
inference(resolution,[],[f1225,f1177]) ).
fof(f3023,plain,
! [X0,X1] :
( sK20(sK7(sK22(X1))) = X0
| ~ empty(X0)
| ~ empty(X1) ),
inference(resolution,[],[f1225,f1059]) ).
fof(f3022,plain,
! [X0,X1] :
( sK20(sK7(sK22(X1))) = X0
| ~ empty(X0)
| element(sK23(X0,sK20(sK7(sK22(X1)))),X1) ),
inference(resolution,[],[f1225,f2470]) ).
fof(f3021,plain,
! [X0,X1] :
( sK20(sK7(sK9(powerset(X1)))) = X0
| ~ empty(X0)
| ~ empty(X1) ),
inference(resolution,[],[f1225,f1601]) ).
fof(f3020,plain,
! [X0,X1] :
( sK20(sK7(sK8(sK22(X1)))) = X0
| ~ empty(X0)
| ~ empty(X1) ),
inference(resolution,[],[f1225,f1955]) ).
fof(f3019,plain,
! [X0,X1] :
( sK20(sK7(sK8(powerset(X1)))) = X0
| ~ empty(X0)
| ~ empty(X1) ),
inference(resolution,[],[f1225,f1308]) ).
fof(f3018,plain,
! [X0,X1] :
( sK20(sK7(sK7(sK22(X1)))) = X0
| ~ empty(X0)
| ~ empty(X1) ),
inference(resolution,[],[f1225,f1954]) ).
fof(f3017,plain,
! [X0,X1] :
( sK20(sK7(sK7(powerset(X1)))) = X0
| ~ empty(X0)
| ~ empty(X1) ),
inference(resolution,[],[f1225,f1077]) ).
fof(f3016,plain,
! [X0,X1] :
( sK20(sK7(powerset(X1))) = X0
| ~ empty(X0)
| ~ empty(X1) ),
inference(resolution,[],[f1225,f1038]) ).
fof(f3015,plain,
! [X0,X1] :
( sK20(sK7(powerset(X1))) = X0
| ~ empty(X0)
| element(sK23(X0,sK20(sK7(powerset(X1)))),X1) ),
inference(resolution,[],[f1225,f1037]) ).
fof(f3013,plain,
! [X0,X1] :
( sK20(powerset(X1)) = X0
| ~ empty(X0)
| element(sK23(X0,sK20(powerset(X1))),X1) ),
inference(resolution,[],[f1225,f938]) ).
fof(f3012,plain,
! [X0,X1] :
( sK13(X1) = X0
| ~ empty(X0)
| ~ empty(the_carrier(X1))
| ~ rel_str(X1) ),
inference(resolution,[],[f1225,f817]) ).
fof(f3011,plain,
! [X0,X1] :
( sK12(X1) = X0
| ~ empty(X0)
| ~ empty(the_carrier(X1))
| ~ rel_str(X1) ),
inference(resolution,[],[f1225,f816]) ).
fof(f3010,plain,
! [X0,X1] :
( sK9(X1) = X0
| ~ empty(X0)
| element(sK23(X0,sK9(X1)),X1)
| empty(X1) ),
inference(resolution,[],[f1225,f932]) ).
fof(f3009,plain,
! [X0,X1] :
( sK8(X1) = X0
| ~ empty(X0)
| element(sK23(X0,sK8(X1)),X1)
| empty(X1) ),
inference(resolution,[],[f1225,f931]) ).
fof(f3008,plain,
! [X0,X1] :
( sK7(X1) = X0
| ~ empty(X0)
| element(sK23(X0,sK7(X1)),X1)
| empty(X1) ),
inference(resolution,[],[f1225,f930]) ).
fof(f3006,plain,
! [X0,X1] :
( cast_as_carrier_subset(X1) = X0
| ~ empty(X0)
| ~ empty(the_carrier(X1))
| ~ one_sorted_str(X1) ),
inference(resolution,[],[f1225,f809]) ).
fof(f3005,plain,
! [X2,X0,X1] :
( a_2_1_yellow19(X1,X2) = X0
| ~ empty(X0)
| sK23(X0,a_2_1_yellow19(X1,X2)) = sK26(sK23(X0,a_2_1_yellow19(X1,X2)),X1,X2)
| ~ net_str(X2,X1)
| empty_carrier(X2)
| ~ one_sorted_str(X1)
| empty_carrier(X1) ),
inference(resolution,[],[f1225,f534]) ).
fof(f3004,plain,
! [X0] :
( filter_of_net_str(sK4,sK5) = X0
| ~ empty(X0)
| sK23(X0,filter_of_net_str(sK4,sK5)) = sK26(sK23(X0,filter_of_net_str(sK4,sK5)),sK4,sK5) ),
inference(resolution,[],[f1225,f1918]) ).
fof(f3003,plain,
! [X0,X1] :
( powerset(X1) = X0
| ~ empty(X0)
| ~ finite(X1)
| finite(sK23(X0,powerset(X1))) ),
inference(resolution,[],[f1225,f682]) ).
fof(f3002,plain,
! [X2,X0,X1] :
( powerset(X1) = X0
| ~ empty(X0)
| ~ in(X2,sK23(X0,powerset(X1)))
| ~ empty(X1) ),
inference(resolution,[],[f1225,f808]) ).
fof(f3001,plain,
! [X2,X0,X1] :
( powerset(X1) = X0
| ~ empty(X0)
| ~ in(X2,sK23(X0,powerset(X1)))
| element(X2,X1) ),
inference(resolution,[],[f1225,f926]) ).
fof(f2999,plain,
! [X0,X1] :
( X0 = X1
| ~ empty(X0)
| ~ in(X1,sK23(X0,X1)) ),
inference(resolution,[],[f1225,f515]) ).
fof(f1225,plain,
! [X0,X1] :
( in(sK23(X0,X1),X1)
| X0 = X1
| ~ empty(X0) ),
inference(resolution,[],[f525,f529]) ).
fof(f2993,plain,
! [X0] :
( ~ empty(X0)
| empty_set = sK20(sK7(sK22(sK20(sK7(sK8(sK22(X0))))))) ),
inference(resolution,[],[f2966,f1086]) ).
fof(f2992,plain,
! [X0] :
( ~ empty(X0)
| empty_set = sK20(sK7(powerset(sK20(sK7(sK8(sK22(X0))))))) ),
inference(resolution,[],[f2966,f1070]) ).
fof(f2991,plain,
! [X0] :
( ~ empty(X0)
| empty_set = sK20(sK22(sK20(sK7(sK8(sK22(X0)))))) ),
inference(resolution,[],[f2966,f971]) ).
fof(f2990,plain,
! [X0,X1] :
( ~ empty(X0)
| sK20(sK22(X1)) = sK20(sK7(sK8(sK22(X0))))
| ~ empty(X1) ),
inference(resolution,[],[f2966,f970]) ).
fof(f2989,plain,
! [X0] :
( ~ empty(X0)
| empty_set = sK20(powerset(sK20(sK22(sK20(sK7(sK8(sK22(X0)))))))) ),
inference(resolution,[],[f2966,f969]) ).
fof(f2988,plain,
! [X0] :
( ~ empty(X0)
| empty_set = sK20(powerset(sK20(powerset(sK20(sK7(sK8(sK22(X0)))))))) ),
inference(resolution,[],[f2966,f843]) ).
fof(f2987,plain,
! [X0] :
( ~ empty(X0)
| empty_set = sK20(powerset(sK20(sK7(sK8(sK22(X0)))))) ),
inference(resolution,[],[f2966,f841]) ).
fof(f2986,plain,
! [X0,X1] :
( ~ empty(X0)
| sK20(powerset(X1)) = sK20(sK7(sK8(sK22(X0))))
| ~ empty(X1) ),
inference(resolution,[],[f2966,f840]) ).
fof(f2985,plain,
! [X0,X1] :
( ~ empty(X0)
| sK20(sK7(sK8(sK22(X0)))) = X1
| ~ empty(X1) ),
inference(resolution,[],[f2966,f528]) ).
fof(f2984,plain,
! [X0] :
( ~ empty(X0)
| empty_set = sK20(sK7(sK8(sK22(X0)))) ),
inference(resolution,[],[f2966,f430]) ).
fof(f2966,plain,
! [X0] :
( empty(sK20(sK7(sK8(sK22(X0)))))
| ~ empty(X0) ),
inference(resolution,[],[f1955,f747]) ).
fof(f2983,plain,
! [X0,X1] :
( ~ empty(X0)
| in(sK23(X1,sK20(sK7(sK8(sK22(X0))))),X1)
| sK20(sK7(sK8(sK22(X0)))) = X1 ),
inference(resolution,[],[f1955,f525]) ).
fof(f2980,plain,
! [X0,X1] :
( ~ empty(X0)
| in(sK23(sK20(sK7(sK8(sK22(X0)))),X1),X1)
| sK20(sK7(sK8(sK22(X0)))) = X1 ),
inference(resolution,[],[f1955,f525]) ).
fof(f2979,plain,
! [X0,X1] :
( ~ empty(X0)
| sK20(sK7(sK8(sK22(X0)))) = X1
| ~ empty(X1) ),
inference(resolution,[],[f1955,f1208]) ).
fof(f2978,plain,
! [X0] :
( ~ empty(X0)
| empty(sK20(sK7(sK8(sK22(X0))))) ),
inference(resolution,[],[f1955,f1631]) ).
fof(f2977,plain,
! [X0] :
( ~ empty(X0)
| empty(sK20(sK7(sK8(sK22(X0))))) ),
inference(resolution,[],[f1955,f1623]) ).
fof(f2976,plain,
! [X0] :
( ~ empty(X0)
| empty(sK20(sK7(sK8(sK22(X0))))) ),
inference(resolution,[],[f1955,f1615]) ).
fof(f2975,plain,
! [X0] :
( ~ empty(X0)
| empty(sK20(sK7(sK8(sK22(X0))))) ),
inference(resolution,[],[f1955,f1525]) ).
fof(f2974,plain,
! [X0] :
( ~ empty(X0)
| empty(sK20(sK7(sK8(sK22(X0))))) ),
inference(resolution,[],[f1955,f1607]) ).
fof(f2973,plain,
! [X0] :
( ~ empty(X0)
| empty(sK20(sK7(sK8(sK22(X0))))) ),
inference(resolution,[],[f1955,f1322]) ).
fof(f2972,plain,
! [X0] :
( ~ empty(X0)
| empty(sK20(sK7(sK8(sK22(X0))))) ),
inference(resolution,[],[f1955,f1314]) ).
fof(f2971,plain,
! [X0] :
( ~ empty(X0)
| empty(sK20(sK7(sK8(sK22(X0))))) ),
inference(resolution,[],[f1955,f1176]) ).
fof(f2970,plain,
! [X0] :
( ~ empty(X0)
| empty(sK20(sK7(sK8(sK22(X0))))) ),
inference(resolution,[],[f1955,f1599]) ).
fof(f2969,plain,
! [X0] :
( ~ empty(X0)
| empty(sK20(sK7(sK8(sK22(X0))))) ),
inference(resolution,[],[f1955,f1306]) ).
fof(f2968,plain,
! [X0] :
( ~ empty(X0)
| empty(sK20(sK7(sK8(sK22(X0))))) ),
inference(resolution,[],[f1955,f1075]) ).
fof(f2967,plain,
! [X0] :
( ~ empty(X0)
| empty(sK20(sK7(sK8(sK22(X0))))) ),
inference(resolution,[],[f1955,f1036]) ).
fof(f1955,plain,
! [X0,X1] :
( ~ in(X1,sK20(sK7(sK8(sK22(X0)))))
| ~ empty(X0) ),
inference(subsumption_resolution,[],[f1940,f512]) ).
fof(f1940,plain,
! [X0,X1] :
( ~ empty(X0)
| ~ in(X1,sK20(sK7(sK8(sK22(X0)))))
| empty(sK22(X0)) ),
inference(resolution,[],[f954,f1306]) ).
fof(f2964,plain,
! [X0,X1] :
( sK22(X0) = X1
| ~ empty(X1)
| finite(sK23(sK22(X0),X1))
| ~ finite(X0) ),
inference(resolution,[],[f1208,f955]) ).
fof(f2963,plain,
! [X0,X1] :
( sK22(X0) = X1
| ~ empty(X1)
| in(sK23(sK22(X0),X1),powerset(X0)) ),
inference(resolution,[],[f1208,f957]) ).
fof(f2962,plain,
! [X2,X0,X1] :
( sK22(X0) = X1
| ~ empty(X1)
| ~ empty(X0)
| ~ in(X2,sK23(sK22(X0),X1)) ),
inference(resolution,[],[f1208,f954]) ).
fof(f2960,plain,
! [X0,X1] :
( sK20(sK22(X0)) = X1
| ~ empty(X1)
| element(sK23(sK20(sK22(X0)),X1),X0) ),
inference(resolution,[],[f1208,f2479]) ).
fof(f2959,plain,
! [X0,X1] :
( sK20(sK9(sK22(X0))) = X1
| ~ empty(X1)
| ~ empty(X0) ),
inference(resolution,[],[f1208,f1556]) ).
fof(f2958,plain,
! [X0,X1] :
( sK20(sK9(sK22(X0))) = X1
| ~ empty(X1)
| element(sK23(sK20(sK9(sK22(X0))),X1),X0) ),
inference(resolution,[],[f1208,f2478]) ).
fof(f2957,plain,
! [X0,X1] :
( sK20(sK9(sK9(powerset(X0)))) = X1
| ~ empty(X1)
| ~ empty(X0) ),
inference(resolution,[],[f1208,f1633]) ).
fof(f2956,plain,
! [X0,X1] :
( sK20(sK9(sK8(powerset(X0)))) = X1
| ~ empty(X1)
| ~ empty(X0) ),
inference(resolution,[],[f1208,f1625]) ).
fof(f2955,plain,
! [X0,X1] :
( sK20(sK9(sK7(powerset(X0)))) = X1
| ~ empty(X1)
| ~ empty(X0) ),
inference(resolution,[],[f1208,f1617]) ).
fof(f2954,plain,
! [X0,X1] :
( sK20(sK9(powerset(X0))) = X1
| ~ empty(X1)
| ~ empty(X0) ),
inference(resolution,[],[f1208,f1527]) ).
fof(f2953,plain,
! [X0,X1] :
( sK20(sK9(powerset(X0))) = X1
| ~ empty(X1)
| element(sK23(sK20(sK9(powerset(X0))),X1),X0) ),
inference(resolution,[],[f1208,f1526]) ).
fof(f2952,plain,
! [X0,X1] :
( sK20(sK8(sK22(X0))) = X1
| ~ empty(X1)
| ~ empty(X0) ),
inference(resolution,[],[f1208,f1203]) ).
fof(f2951,plain,
! [X0,X1] :
( sK20(sK8(sK22(X0))) = X1
| ~ empty(X1)
| element(sK23(sK20(sK8(sK22(X0))),X1),X0) ),
inference(resolution,[],[f1208,f2474]) ).
fof(f2950,plain,
! [X0,X1] :
( sK20(sK8(sK9(powerset(X0)))) = X1
| ~ empty(X1)
| ~ empty(X0) ),
inference(resolution,[],[f1208,f1609]) ).
fof(f2949,plain,
! [X0,X1] :
( sK20(sK8(sK8(powerset(X0)))) = X1
| ~ empty(X1)
| ~ empty(X0) ),
inference(resolution,[],[f1208,f1324]) ).
fof(f2948,plain,
! [X0,X1] :
( sK20(sK8(sK7(powerset(X0)))) = X1
| ~ empty(X1)
| ~ empty(X0) ),
inference(resolution,[],[f1208,f1316]) ).
fof(f2947,plain,
! [X0,X1] :
( sK20(sK8(powerset(X0))) = X1
| ~ empty(X1)
| ~ empty(X0) ),
inference(resolution,[],[f1208,f1178]) ).
fof(f2946,plain,
! [X0,X1] :
( sK20(sK8(powerset(X0))) = X1
| ~ empty(X1)
| element(sK23(sK20(sK8(powerset(X0))),X1),X0) ),
inference(resolution,[],[f1208,f1177]) ).
fof(f2945,plain,
! [X0,X1] :
( sK20(sK7(sK22(X0))) = X1
| ~ empty(X1)
| ~ empty(X0) ),
inference(resolution,[],[f1208,f1059]) ).
fof(f2944,plain,
! [X0,X1] :
( sK20(sK7(sK22(X0))) = X1
| ~ empty(X1)
| element(sK23(sK20(sK7(sK22(X0))),X1),X0) ),
inference(resolution,[],[f1208,f2470]) ).
fof(f2943,plain,
! [X0,X1] :
( sK20(sK7(sK9(powerset(X0)))) = X1
| ~ empty(X1)
| ~ empty(X0) ),
inference(resolution,[],[f1208,f1601]) ).
fof(f2942,plain,
! [X0,X1] :
( sK20(sK7(sK8(powerset(X0)))) = X1
| ~ empty(X1)
| ~ empty(X0) ),
inference(resolution,[],[f1208,f1308]) ).
fof(f2941,plain,
! [X0,X1] :
( sK20(sK7(sK7(sK22(X0)))) = X1
| ~ empty(X1)
| ~ empty(X0) ),
inference(resolution,[],[f1208,f1954]) ).
fof(f2940,plain,
! [X0,X1] :
( sK20(sK7(sK7(powerset(X0)))) = X1
| ~ empty(X1)
| ~ empty(X0) ),
inference(resolution,[],[f1208,f1077]) ).
fof(f2939,plain,
! [X0,X1] :
( sK20(sK7(powerset(X0))) = X1
| ~ empty(X1)
| ~ empty(X0) ),
inference(resolution,[],[f1208,f1038]) ).
fof(f2938,plain,
! [X0,X1] :
( sK20(sK7(powerset(X0))) = X1
| ~ empty(X1)
| element(sK23(sK20(sK7(powerset(X0))),X1),X0) ),
inference(resolution,[],[f1208,f1037]) ).
fof(f2936,plain,
! [X0,X1] :
( sK20(powerset(X0)) = X1
| ~ empty(X1)
| element(sK23(sK20(powerset(X0)),X1),X0) ),
inference(resolution,[],[f1208,f938]) ).
fof(f2935,plain,
! [X0,X1] :
( sK13(X0) = X1
| ~ empty(X1)
| ~ empty(the_carrier(X0))
| ~ rel_str(X0) ),
inference(resolution,[],[f1208,f817]) ).
fof(f2934,plain,
! [X0,X1] :
( sK12(X0) = X1
| ~ empty(X1)
| ~ empty(the_carrier(X0))
| ~ rel_str(X0) ),
inference(resolution,[],[f1208,f816]) ).
fof(f2933,plain,
! [X0,X1] :
( sK9(X0) = X1
| ~ empty(X1)
| element(sK23(sK9(X0),X1),X0)
| empty(X0) ),
inference(resolution,[],[f1208,f932]) ).
fof(f2932,plain,
! [X0,X1] :
( sK8(X0) = X1
| ~ empty(X1)
| element(sK23(sK8(X0),X1),X0)
| empty(X0) ),
inference(resolution,[],[f1208,f931]) ).
fof(f2931,plain,
! [X0,X1] :
( sK7(X0) = X1
| ~ empty(X1)
| element(sK23(sK7(X0),X1),X0)
| empty(X0) ),
inference(resolution,[],[f1208,f930]) ).
fof(f2929,plain,
! [X0,X1] :
( cast_as_carrier_subset(X0) = X1
| ~ empty(X1)
| ~ empty(the_carrier(X0))
| ~ one_sorted_str(X0) ),
inference(resolution,[],[f1208,f809]) ).
fof(f2928,plain,
! [X2,X0,X1] :
( a_2_1_yellow19(X0,X1) = X2
| ~ empty(X2)
| sK23(a_2_1_yellow19(X0,X1),X2) = sK26(sK23(a_2_1_yellow19(X0,X1),X2),X0,X1)
| ~ net_str(X1,X0)
| empty_carrier(X1)
| ~ one_sorted_str(X0)
| empty_carrier(X0) ),
inference(resolution,[],[f1208,f534]) ).
fof(f2927,plain,
! [X0] :
( filter_of_net_str(sK4,sK5) = X0
| ~ empty(X0)
| sK23(filter_of_net_str(sK4,sK5),X0) = sK26(sK23(filter_of_net_str(sK4,sK5),X0),sK4,sK5) ),
inference(resolution,[],[f1208,f1918]) ).
fof(f2926,plain,
! [X0,X1] :
( powerset(X0) = X1
| ~ empty(X1)
| ~ finite(X0)
| finite(sK23(powerset(X0),X1)) ),
inference(resolution,[],[f1208,f682]) ).
fof(f2925,plain,
! [X2,X0,X1] :
( powerset(X0) = X1
| ~ empty(X1)
| ~ in(X2,sK23(powerset(X0),X1))
| ~ empty(X0) ),
inference(resolution,[],[f1208,f808]) ).
fof(f2924,plain,
! [X2,X0,X1] :
( powerset(X0) = X1
| ~ empty(X1)
| ~ in(X2,sK23(powerset(X0),X1))
| element(X2,X0) ),
inference(resolution,[],[f1208,f926]) ).
fof(f2922,plain,
! [X0,X1] :
( X0 = X1
| ~ empty(X1)
| ~ in(X0,sK23(X0,X1)) ),
inference(resolution,[],[f1208,f515]) ).
fof(f1208,plain,
! [X0,X1] :
( in(sK23(X0,X1),X0)
| X0 = X1
| ~ empty(X1) ),
inference(resolution,[],[f525,f529]) ).
fof(f2916,plain,
! [X0] :
( ~ empty(X0)
| empty_set = sK20(sK7(sK22(sK20(sK7(sK7(sK22(X0))))))) ),
inference(resolution,[],[f2890,f1086]) ).
fof(f2915,plain,
! [X0] :
( ~ empty(X0)
| empty_set = sK20(sK7(powerset(sK20(sK7(sK7(sK22(X0))))))) ),
inference(resolution,[],[f2890,f1070]) ).
fof(f2914,plain,
! [X0] :
( ~ empty(X0)
| empty_set = sK20(sK22(sK20(sK7(sK7(sK22(X0)))))) ),
inference(resolution,[],[f2890,f971]) ).
fof(f2913,plain,
! [X0,X1] :
( ~ empty(X0)
| sK20(sK22(X1)) = sK20(sK7(sK7(sK22(X0))))
| ~ empty(X1) ),
inference(resolution,[],[f2890,f970]) ).
fof(f2912,plain,
! [X0] :
( ~ empty(X0)
| empty_set = sK20(powerset(sK20(sK22(sK20(sK7(sK7(sK22(X0)))))))) ),
inference(resolution,[],[f2890,f969]) ).
fof(f2911,plain,
! [X0] :
( ~ empty(X0)
| empty_set = sK20(powerset(sK20(powerset(sK20(sK7(sK7(sK22(X0)))))))) ),
inference(resolution,[],[f2890,f843]) ).
fof(f2910,plain,
! [X0] :
( ~ empty(X0)
| empty_set = sK20(powerset(sK20(sK7(sK7(sK22(X0)))))) ),
inference(resolution,[],[f2890,f841]) ).
fof(f2909,plain,
! [X0,X1] :
( ~ empty(X0)
| sK20(powerset(X1)) = sK20(sK7(sK7(sK22(X0))))
| ~ empty(X1) ),
inference(resolution,[],[f2890,f840]) ).
fof(f2908,plain,
! [X0,X1] :
( ~ empty(X0)
| sK20(sK7(sK7(sK22(X0)))) = X1
| ~ empty(X1) ),
inference(resolution,[],[f2890,f528]) ).
fof(f2907,plain,
! [X0] :
( ~ empty(X0)
| empty_set = sK20(sK7(sK7(sK22(X0)))) ),
inference(resolution,[],[f2890,f430]) ).
fof(f2890,plain,
! [X0] :
( empty(sK20(sK7(sK7(sK22(X0)))))
| ~ empty(X0) ),
inference(resolution,[],[f1954,f747]) ).
fof(f2906,plain,
! [X0,X1] :
( ~ empty(X0)
| in(sK23(X1,sK20(sK7(sK7(sK22(X0))))),X1)
| sK20(sK7(sK7(sK22(X0)))) = X1 ),
inference(resolution,[],[f1954,f525]) ).
fof(f2903,plain,
! [X0,X1] :
( ~ empty(X0)
| in(sK23(sK20(sK7(sK7(sK22(X0)))),X1),X1)
| sK20(sK7(sK7(sK22(X0)))) = X1 ),
inference(resolution,[],[f1954,f525]) ).
fof(f2902,plain,
! [X0] :
( ~ empty(X0)
| empty(sK20(sK7(sK7(sK22(X0))))) ),
inference(resolution,[],[f1954,f1631]) ).
fof(f2901,plain,
! [X0] :
( ~ empty(X0)
| empty(sK20(sK7(sK7(sK22(X0))))) ),
inference(resolution,[],[f1954,f1623]) ).
fof(f2900,plain,
! [X0] :
( ~ empty(X0)
| empty(sK20(sK7(sK7(sK22(X0))))) ),
inference(resolution,[],[f1954,f1615]) ).
fof(f2899,plain,
! [X0] :
( ~ empty(X0)
| empty(sK20(sK7(sK7(sK22(X0))))) ),
inference(resolution,[],[f1954,f1525]) ).
fof(f2898,plain,
! [X0] :
( ~ empty(X0)
| empty(sK20(sK7(sK7(sK22(X0))))) ),
inference(resolution,[],[f1954,f1607]) ).
fof(f2897,plain,
! [X0] :
( ~ empty(X0)
| empty(sK20(sK7(sK7(sK22(X0))))) ),
inference(resolution,[],[f1954,f1322]) ).
fof(f2896,plain,
! [X0] :
( ~ empty(X0)
| empty(sK20(sK7(sK7(sK22(X0))))) ),
inference(resolution,[],[f1954,f1314]) ).
fof(f2895,plain,
! [X0] :
( ~ empty(X0)
| empty(sK20(sK7(sK7(sK22(X0))))) ),
inference(resolution,[],[f1954,f1176]) ).
fof(f2894,plain,
! [X0] :
( ~ empty(X0)
| empty(sK20(sK7(sK7(sK22(X0))))) ),
inference(resolution,[],[f1954,f1599]) ).
fof(f2893,plain,
! [X0] :
( ~ empty(X0)
| empty(sK20(sK7(sK7(sK22(X0))))) ),
inference(resolution,[],[f1954,f1306]) ).
fof(f2892,plain,
! [X0] :
( ~ empty(X0)
| empty(sK20(sK7(sK7(sK22(X0))))) ),
inference(resolution,[],[f1954,f1075]) ).
fof(f2891,plain,
! [X0] :
( ~ empty(X0)
| empty(sK20(sK7(sK7(sK22(X0))))) ),
inference(resolution,[],[f1954,f1036]) ).
fof(f1954,plain,
! [X0,X1] :
( ~ in(X1,sK20(sK7(sK7(sK22(X0)))))
| ~ empty(X0) ),
inference(subsumption_resolution,[],[f1939,f512]) ).
fof(f1939,plain,
! [X0,X1] :
( ~ empty(X0)
| ~ in(X1,sK20(sK7(sK7(sK22(X0)))))
| empty(sK22(X0)) ),
inference(resolution,[],[f954,f1075]) ).
fof(f2889,plain,
! [X2,X0,X1] :
( boole_POSet(X0) != rel_str_of(X1,X2)
| the_carrier(boole_POSet(X0)) = X1
| ~ relation_of2(the_InternalRel(boole_POSet(X0)),the_carrier(boole_POSet(X0)),the_carrier(boole_POSet(X0))) ),
inference(superposition,[],[f520,f1010]) ).
fof(f2888,plain,
! [X2,X0,X1] :
( boole_POSet(X0) != rel_str_of(X1,X2)
| the_carrier(boole_POSet(X0)) = X1
| ~ relation_of2(X2,X1,X1) ),
inference(superposition,[],[f520,f1010]) ).
fof(f2887,plain,
! [X2,X0,X1] :
( boole_POSet(X0) != rel_str_of(X1,X2)
| the_InternalRel(boole_POSet(X0)) = X2
| ~ relation_of2(the_InternalRel(boole_POSet(X0)),the_carrier(boole_POSet(X0)),the_carrier(boole_POSet(X0))) ),
inference(superposition,[],[f521,f1010]) ).
fof(f2886,plain,
! [X2,X0,X1] :
( boole_POSet(X0) != rel_str_of(X1,X2)
| the_InternalRel(boole_POSet(X0)) = X2
| ~ relation_of2(X2,X1,X1) ),
inference(superposition,[],[f521,f1010]) ).
fof(f1010,plain,
! [X0] : boole_POSet(X0) = rel_str_of(the_carrier(boole_POSet(X0)),the_InternalRel(boole_POSet(X0))),
inference(subsumption_resolution,[],[f1000,f398]) ).
fof(f1000,plain,
! [X0] :
( boole_POSet(X0) = rel_str_of(the_carrier(boole_POSet(X0)),the_InternalRel(boole_POSet(X0)))
| ~ rel_str(boole_POSet(X0)) ),
inference(resolution,[],[f436,f356]) ).
fof(f2879,plain,
! [X0] :
( empty(X0)
| in(sK20(sK9(sK9(sK9(X0)))),X0) ),
inference(duplicate_literal_removal,[],[f2878]) ).
fof(f2878,plain,
! [X0] :
( empty(X0)
| empty(X0)
| in(sK20(sK9(sK9(sK9(X0)))),X0) ),
inference(resolution,[],[f1832,f517]) ).
fof(f2883,plain,
! [X0,X1] :
( ~ is_eventually_in(X0,X1,sK20(sK9(sK9(sK9(powerset(the_carrier(X0)))))))
| in(sK20(sK9(sK9(sK9(powerset(the_carrier(X0)))))),a_2_1_yellow19(X0,X1))
| ~ net_str(X1,X0)
| empty_carrier(X1)
| ~ one_sorted_str(X0)
| empty_carrier(X0) ),
inference(subsumption_resolution,[],[f2877,f354]) ).
fof(f2877,plain,
! [X0,X1] :
( empty(powerset(the_carrier(X0)))
| ~ is_eventually_in(X0,X1,sK20(sK9(sK9(sK9(powerset(the_carrier(X0)))))))
| in(sK20(sK9(sK9(sK9(powerset(the_carrier(X0)))))),a_2_1_yellow19(X0,X1))
| ~ net_str(X1,X0)
| empty_carrier(X1)
| ~ one_sorted_str(X0)
| empty_carrier(X0) ),
inference(resolution,[],[f1832,f621]) ).
fof(f2882,plain,
! [X0] :
( finite(sK20(sK9(sK9(sK9(powerset(X0))))))
| ~ finite(X0) ),
inference(subsumption_resolution,[],[f2876,f354]) ).
fof(f2876,plain,
! [X0] :
( empty(powerset(X0))
| finite(sK20(sK9(sK9(sK9(powerset(X0))))))
| ~ finite(X0) ),
inference(resolution,[],[f1832,f428]) ).
fof(f2881,plain,
! [X0,X1] :
( ~ empty(X0)
| ~ in(X1,sK20(sK9(sK9(sK9(powerset(X0)))))) ),
inference(subsumption_resolution,[],[f2875,f354]) ).
fof(f2875,plain,
! [X0,X1] :
( empty(powerset(X0))
| ~ empty(X0)
| ~ in(X1,sK20(sK9(sK9(sK9(powerset(X0)))))) ),
inference(resolution,[],[f1832,f540]) ).
fof(f2880,plain,
! [X0,X1] :
( element(X1,X0)
| ~ in(X1,sK20(sK9(sK9(sK9(powerset(X0)))))) ),
inference(subsumption_resolution,[],[f2874,f354]) ).
fof(f2874,plain,
! [X0,X1] :
( empty(powerset(X0))
| element(X1,X0)
| ~ in(X1,sK20(sK9(sK9(sK9(powerset(X0)))))) ),
inference(resolution,[],[f1832,f537]) ).
fof(f1832,plain,
! [X0] :
( element(sK20(sK9(sK9(sK9(X0)))),X0)
| empty(X0) ),
inference(subsumption_resolution,[],[f1814,f420]) ).
fof(f1814,plain,
! [X0] :
( empty(sK9(X0))
| element(sK20(sK9(sK9(sK9(X0)))),X0)
| empty(X0) ),
inference(resolution,[],[f1631,f932]) ).
fof(f2869,plain,
! [X0] :
( empty(X0)
| in(sK20(sK9(sK9(sK8(X0)))),X0) ),
inference(duplicate_literal_removal,[],[f2868]) ).
fof(f2868,plain,
! [X0] :
( empty(X0)
| empty(X0)
| in(sK20(sK9(sK9(sK8(X0)))),X0) ),
inference(resolution,[],[f1831,f517]) ).
fof(f2873,plain,
! [X0,X1] :
( ~ is_eventually_in(X0,X1,sK20(sK9(sK9(sK8(powerset(the_carrier(X0)))))))
| in(sK20(sK9(sK9(sK8(powerset(the_carrier(X0)))))),a_2_1_yellow19(X0,X1))
| ~ net_str(X1,X0)
| empty_carrier(X1)
| ~ one_sorted_str(X0)
| empty_carrier(X0) ),
inference(subsumption_resolution,[],[f2867,f354]) ).
fof(f2867,plain,
! [X0,X1] :
( empty(powerset(the_carrier(X0)))
| ~ is_eventually_in(X0,X1,sK20(sK9(sK9(sK8(powerset(the_carrier(X0)))))))
| in(sK20(sK9(sK9(sK8(powerset(the_carrier(X0)))))),a_2_1_yellow19(X0,X1))
| ~ net_str(X1,X0)
| empty_carrier(X1)
| ~ one_sorted_str(X0)
| empty_carrier(X0) ),
inference(resolution,[],[f1831,f621]) ).
fof(f2872,plain,
! [X0] :
( finite(sK20(sK9(sK9(sK8(powerset(X0))))))
| ~ finite(X0) ),
inference(subsumption_resolution,[],[f2866,f354]) ).
fof(f2866,plain,
! [X0] :
( empty(powerset(X0))
| finite(sK20(sK9(sK9(sK8(powerset(X0))))))
| ~ finite(X0) ),
inference(resolution,[],[f1831,f428]) ).
fof(f2871,plain,
! [X0,X1] :
( ~ empty(X0)
| ~ in(X1,sK20(sK9(sK9(sK8(powerset(X0)))))) ),
inference(subsumption_resolution,[],[f2865,f354]) ).
fof(f2865,plain,
! [X0,X1] :
( empty(powerset(X0))
| ~ empty(X0)
| ~ in(X1,sK20(sK9(sK9(sK8(powerset(X0)))))) ),
inference(resolution,[],[f1831,f540]) ).
fof(f2870,plain,
! [X0,X1] :
( element(X1,X0)
| ~ in(X1,sK20(sK9(sK9(sK8(powerset(X0)))))) ),
inference(subsumption_resolution,[],[f2864,f354]) ).
fof(f2864,plain,
! [X0,X1] :
( empty(powerset(X0))
| element(X1,X0)
| ~ in(X1,sK20(sK9(sK9(sK8(powerset(X0)))))) ),
inference(resolution,[],[f1831,f537]) ).
fof(f1831,plain,
! [X0] :
( element(sK20(sK9(sK9(sK8(X0)))),X0)
| empty(X0) ),
inference(subsumption_resolution,[],[f1813,f417]) ).
fof(f1813,plain,
! [X0] :
( empty(sK8(X0))
| element(sK20(sK9(sK9(sK8(X0)))),X0)
| empty(X0) ),
inference(resolution,[],[f1631,f931]) ).
fof(f2859,plain,
! [X0] :
( empty(X0)
| in(sK20(sK9(sK9(sK7(X0)))),X0) ),
inference(duplicate_literal_removal,[],[f2858]) ).
fof(f2858,plain,
! [X0] :
( empty(X0)
| empty(X0)
| in(sK20(sK9(sK9(sK7(X0)))),X0) ),
inference(resolution,[],[f1830,f517]) ).
fof(f2863,plain,
! [X0,X1] :
( ~ is_eventually_in(X0,X1,sK20(sK9(sK9(sK7(powerset(the_carrier(X0)))))))
| in(sK20(sK9(sK9(sK7(powerset(the_carrier(X0)))))),a_2_1_yellow19(X0,X1))
| ~ net_str(X1,X0)
| empty_carrier(X1)
| ~ one_sorted_str(X0)
| empty_carrier(X0) ),
inference(subsumption_resolution,[],[f2857,f354]) ).
fof(f2857,plain,
! [X0,X1] :
( empty(powerset(the_carrier(X0)))
| ~ is_eventually_in(X0,X1,sK20(sK9(sK9(sK7(powerset(the_carrier(X0)))))))
| in(sK20(sK9(sK9(sK7(powerset(the_carrier(X0)))))),a_2_1_yellow19(X0,X1))
| ~ net_str(X1,X0)
| empty_carrier(X1)
| ~ one_sorted_str(X0)
| empty_carrier(X0) ),
inference(resolution,[],[f1830,f621]) ).
fof(f2862,plain,
! [X0] :
( finite(sK20(sK9(sK9(sK7(powerset(X0))))))
| ~ finite(X0) ),
inference(subsumption_resolution,[],[f2856,f354]) ).
fof(f2856,plain,
! [X0] :
( empty(powerset(X0))
| finite(sK20(sK9(sK9(sK7(powerset(X0))))))
| ~ finite(X0) ),
inference(resolution,[],[f1830,f428]) ).
fof(f2861,plain,
! [X0,X1] :
( ~ empty(X0)
| ~ in(X1,sK20(sK9(sK9(sK7(powerset(X0)))))) ),
inference(subsumption_resolution,[],[f2855,f354]) ).
fof(f2855,plain,
! [X0,X1] :
( empty(powerset(X0))
| ~ empty(X0)
| ~ in(X1,sK20(sK9(sK9(sK7(powerset(X0)))))) ),
inference(resolution,[],[f1830,f540]) ).
fof(f2860,plain,
! [X0,X1] :
( element(X1,X0)
| ~ in(X1,sK20(sK9(sK9(sK7(powerset(X0)))))) ),
inference(subsumption_resolution,[],[f2854,f354]) ).
fof(f2854,plain,
! [X0,X1] :
( empty(powerset(X0))
| element(X1,X0)
| ~ in(X1,sK20(sK9(sK9(sK7(powerset(X0)))))) ),
inference(resolution,[],[f1830,f537]) ).
fof(f1830,plain,
! [X0] :
( element(sK20(sK9(sK9(sK7(X0)))),X0)
| empty(X0) ),
inference(subsumption_resolution,[],[f1812,f415]) ).
fof(f1812,plain,
! [X0] :
( empty(sK7(X0))
| element(sK20(sK9(sK9(sK7(X0)))),X0)
| empty(X0) ),
inference(resolution,[],[f1631,f930]) ).
fof(f2849,plain,
! [X0] :
( empty(X0)
| in(sK20(sK9(sK8(sK9(X0)))),X0) ),
inference(duplicate_literal_removal,[],[f2848]) ).
fof(f2848,plain,
! [X0] :
( empty(X0)
| empty(X0)
| in(sK20(sK9(sK8(sK9(X0)))),X0) ),
inference(resolution,[],[f1803,f517]) ).
fof(f2853,plain,
! [X0,X1] :
( ~ is_eventually_in(X0,X1,sK20(sK9(sK8(sK9(powerset(the_carrier(X0)))))))
| in(sK20(sK9(sK8(sK9(powerset(the_carrier(X0)))))),a_2_1_yellow19(X0,X1))
| ~ net_str(X1,X0)
| empty_carrier(X1)
| ~ one_sorted_str(X0)
| empty_carrier(X0) ),
inference(subsumption_resolution,[],[f2847,f354]) ).
fof(f2847,plain,
! [X0,X1] :
( empty(powerset(the_carrier(X0)))
| ~ is_eventually_in(X0,X1,sK20(sK9(sK8(sK9(powerset(the_carrier(X0)))))))
| in(sK20(sK9(sK8(sK9(powerset(the_carrier(X0)))))),a_2_1_yellow19(X0,X1))
| ~ net_str(X1,X0)
| empty_carrier(X1)
| ~ one_sorted_str(X0)
| empty_carrier(X0) ),
inference(resolution,[],[f1803,f621]) ).
fof(f2852,plain,
! [X0] :
( finite(sK20(sK9(sK8(sK9(powerset(X0))))))
| ~ finite(X0) ),
inference(subsumption_resolution,[],[f2846,f354]) ).
fof(f2846,plain,
! [X0] :
( empty(powerset(X0))
| finite(sK20(sK9(sK8(sK9(powerset(X0))))))
| ~ finite(X0) ),
inference(resolution,[],[f1803,f428]) ).
fof(f2851,plain,
! [X0,X1] :
( ~ empty(X0)
| ~ in(X1,sK20(sK9(sK8(sK9(powerset(X0)))))) ),
inference(subsumption_resolution,[],[f2845,f354]) ).
fof(f2845,plain,
! [X0,X1] :
( empty(powerset(X0))
| ~ empty(X0)
| ~ in(X1,sK20(sK9(sK8(sK9(powerset(X0)))))) ),
inference(resolution,[],[f1803,f540]) ).
fof(f2850,plain,
! [X0,X1] :
( element(X1,X0)
| ~ in(X1,sK20(sK9(sK8(sK9(powerset(X0)))))) ),
inference(subsumption_resolution,[],[f2844,f354]) ).
fof(f2844,plain,
! [X0,X1] :
( empty(powerset(X0))
| element(X1,X0)
| ~ in(X1,sK20(sK9(sK8(sK9(powerset(X0)))))) ),
inference(resolution,[],[f1803,f537]) ).
fof(f1803,plain,
! [X0] :
( element(sK20(sK9(sK8(sK9(X0)))),X0)
| empty(X0) ),
inference(subsumption_resolution,[],[f1785,f420]) ).
fof(f1785,plain,
! [X0] :
( empty(sK9(X0))
| element(sK20(sK9(sK8(sK9(X0)))),X0)
| empty(X0) ),
inference(resolution,[],[f1623,f932]) ).
fof(f2839,plain,
! [X0] :
( empty(X0)
| in(sK20(sK9(sK8(sK8(X0)))),X0) ),
inference(duplicate_literal_removal,[],[f2838]) ).
fof(f2838,plain,
! [X0] :
( empty(X0)
| empty(X0)
| in(sK20(sK9(sK8(sK8(X0)))),X0) ),
inference(resolution,[],[f1802,f517]) ).
fof(f2843,plain,
! [X0,X1] :
( ~ is_eventually_in(X0,X1,sK20(sK9(sK8(sK8(powerset(the_carrier(X0)))))))
| in(sK20(sK9(sK8(sK8(powerset(the_carrier(X0)))))),a_2_1_yellow19(X0,X1))
| ~ net_str(X1,X0)
| empty_carrier(X1)
| ~ one_sorted_str(X0)
| empty_carrier(X0) ),
inference(subsumption_resolution,[],[f2837,f354]) ).
fof(f2837,plain,
! [X0,X1] :
( empty(powerset(the_carrier(X0)))
| ~ is_eventually_in(X0,X1,sK20(sK9(sK8(sK8(powerset(the_carrier(X0)))))))
| in(sK20(sK9(sK8(sK8(powerset(the_carrier(X0)))))),a_2_1_yellow19(X0,X1))
| ~ net_str(X1,X0)
| empty_carrier(X1)
| ~ one_sorted_str(X0)
| empty_carrier(X0) ),
inference(resolution,[],[f1802,f621]) ).
fof(f2842,plain,
! [X0] :
( finite(sK20(sK9(sK8(sK8(powerset(X0))))))
| ~ finite(X0) ),
inference(subsumption_resolution,[],[f2836,f354]) ).
fof(f2836,plain,
! [X0] :
( empty(powerset(X0))
| finite(sK20(sK9(sK8(sK8(powerset(X0))))))
| ~ finite(X0) ),
inference(resolution,[],[f1802,f428]) ).
fof(f2841,plain,
! [X0,X1] :
( ~ empty(X0)
| ~ in(X1,sK20(sK9(sK8(sK8(powerset(X0)))))) ),
inference(subsumption_resolution,[],[f2835,f354]) ).
fof(f2835,plain,
! [X0,X1] :
( empty(powerset(X0))
| ~ empty(X0)
| ~ in(X1,sK20(sK9(sK8(sK8(powerset(X0)))))) ),
inference(resolution,[],[f1802,f540]) ).
fof(f2840,plain,
! [X0,X1] :
( element(X1,X0)
| ~ in(X1,sK20(sK9(sK8(sK8(powerset(X0)))))) ),
inference(subsumption_resolution,[],[f2834,f354]) ).
fof(f2834,plain,
! [X0,X1] :
( empty(powerset(X0))
| element(X1,X0)
| ~ in(X1,sK20(sK9(sK8(sK8(powerset(X0)))))) ),
inference(resolution,[],[f1802,f537]) ).
fof(f1802,plain,
! [X0] :
( element(sK20(sK9(sK8(sK8(X0)))),X0)
| empty(X0) ),
inference(subsumption_resolution,[],[f1784,f417]) ).
fof(f1784,plain,
! [X0] :
( empty(sK8(X0))
| element(sK20(sK9(sK8(sK8(X0)))),X0)
| empty(X0) ),
inference(resolution,[],[f1623,f931]) ).
fof(f2829,plain,
! [X0] :
( empty(X0)
| in(sK20(sK9(sK8(sK7(X0)))),X0) ),
inference(duplicate_literal_removal,[],[f2828]) ).
fof(f2828,plain,
! [X0] :
( empty(X0)
| empty(X0)
| in(sK20(sK9(sK8(sK7(X0)))),X0) ),
inference(resolution,[],[f1801,f517]) ).
fof(f2833,plain,
! [X0,X1] :
( ~ is_eventually_in(X0,X1,sK20(sK9(sK8(sK7(powerset(the_carrier(X0)))))))
| in(sK20(sK9(sK8(sK7(powerset(the_carrier(X0)))))),a_2_1_yellow19(X0,X1))
| ~ net_str(X1,X0)
| empty_carrier(X1)
| ~ one_sorted_str(X0)
| empty_carrier(X0) ),
inference(subsumption_resolution,[],[f2827,f354]) ).
fof(f2827,plain,
! [X0,X1] :
( empty(powerset(the_carrier(X0)))
| ~ is_eventually_in(X0,X1,sK20(sK9(sK8(sK7(powerset(the_carrier(X0)))))))
| in(sK20(sK9(sK8(sK7(powerset(the_carrier(X0)))))),a_2_1_yellow19(X0,X1))
| ~ net_str(X1,X0)
| empty_carrier(X1)
| ~ one_sorted_str(X0)
| empty_carrier(X0) ),
inference(resolution,[],[f1801,f621]) ).
fof(f2832,plain,
! [X0] :
( finite(sK20(sK9(sK8(sK7(powerset(X0))))))
| ~ finite(X0) ),
inference(subsumption_resolution,[],[f2826,f354]) ).
fof(f2826,plain,
! [X0] :
( empty(powerset(X0))
| finite(sK20(sK9(sK8(sK7(powerset(X0))))))
| ~ finite(X0) ),
inference(resolution,[],[f1801,f428]) ).
fof(f2831,plain,
! [X0,X1] :
( ~ empty(X0)
| ~ in(X1,sK20(sK9(sK8(sK7(powerset(X0)))))) ),
inference(subsumption_resolution,[],[f2825,f354]) ).
fof(f2825,plain,
! [X0,X1] :
( empty(powerset(X0))
| ~ empty(X0)
| ~ in(X1,sK20(sK9(sK8(sK7(powerset(X0)))))) ),
inference(resolution,[],[f1801,f540]) ).
fof(f2830,plain,
! [X0,X1] :
( element(X1,X0)
| ~ in(X1,sK20(sK9(sK8(sK7(powerset(X0)))))) ),
inference(subsumption_resolution,[],[f2824,f354]) ).
fof(f2824,plain,
! [X0,X1] :
( empty(powerset(X0))
| element(X1,X0)
| ~ in(X1,sK20(sK9(sK8(sK7(powerset(X0)))))) ),
inference(resolution,[],[f1801,f537]) ).
fof(f1801,plain,
! [X0] :
( element(sK20(sK9(sK8(sK7(X0)))),X0)
| empty(X0) ),
inference(subsumption_resolution,[],[f1783,f415]) ).
fof(f1783,plain,
! [X0] :
( empty(sK7(X0))
| element(sK20(sK9(sK8(sK7(X0)))),X0)
| empty(X0) ),
inference(resolution,[],[f1623,f930]) ).
fof(f2819,plain,
! [X0] :
( empty(X0)
| in(sK20(sK9(sK7(sK9(X0)))),X0) ),
inference(duplicate_literal_removal,[],[f2818]) ).
fof(f2818,plain,
! [X0] :
( empty(X0)
| empty(X0)
| in(sK20(sK9(sK7(sK9(X0)))),X0) ),
inference(resolution,[],[f1774,f517]) ).
fof(f2823,plain,
! [X0,X1] :
( ~ is_eventually_in(X0,X1,sK20(sK9(sK7(sK9(powerset(the_carrier(X0)))))))
| in(sK20(sK9(sK7(sK9(powerset(the_carrier(X0)))))),a_2_1_yellow19(X0,X1))
| ~ net_str(X1,X0)
| empty_carrier(X1)
| ~ one_sorted_str(X0)
| empty_carrier(X0) ),
inference(subsumption_resolution,[],[f2817,f354]) ).
fof(f2817,plain,
! [X0,X1] :
( empty(powerset(the_carrier(X0)))
| ~ is_eventually_in(X0,X1,sK20(sK9(sK7(sK9(powerset(the_carrier(X0)))))))
| in(sK20(sK9(sK7(sK9(powerset(the_carrier(X0)))))),a_2_1_yellow19(X0,X1))
| ~ net_str(X1,X0)
| empty_carrier(X1)
| ~ one_sorted_str(X0)
| empty_carrier(X0) ),
inference(resolution,[],[f1774,f621]) ).
fof(f2822,plain,
! [X0] :
( finite(sK20(sK9(sK7(sK9(powerset(X0))))))
| ~ finite(X0) ),
inference(subsumption_resolution,[],[f2816,f354]) ).
fof(f2816,plain,
! [X0] :
( empty(powerset(X0))
| finite(sK20(sK9(sK7(sK9(powerset(X0))))))
| ~ finite(X0) ),
inference(resolution,[],[f1774,f428]) ).
fof(f2821,plain,
! [X0,X1] :
( ~ empty(X0)
| ~ in(X1,sK20(sK9(sK7(sK9(powerset(X0)))))) ),
inference(subsumption_resolution,[],[f2815,f354]) ).
fof(f2815,plain,
! [X0,X1] :
( empty(powerset(X0))
| ~ empty(X0)
| ~ in(X1,sK20(sK9(sK7(sK9(powerset(X0)))))) ),
inference(resolution,[],[f1774,f540]) ).
fof(f2820,plain,
! [X0,X1] :
( element(X1,X0)
| ~ in(X1,sK20(sK9(sK7(sK9(powerset(X0)))))) ),
inference(subsumption_resolution,[],[f2814,f354]) ).
fof(f2814,plain,
! [X0,X1] :
( empty(powerset(X0))
| element(X1,X0)
| ~ in(X1,sK20(sK9(sK7(sK9(powerset(X0)))))) ),
inference(resolution,[],[f1774,f537]) ).
fof(f1774,plain,
! [X0] :
( element(sK20(sK9(sK7(sK9(X0)))),X0)
| empty(X0) ),
inference(subsumption_resolution,[],[f1756,f420]) ).
fof(f1756,plain,
! [X0] :
( empty(sK9(X0))
| element(sK20(sK9(sK7(sK9(X0)))),X0)
| empty(X0) ),
inference(resolution,[],[f1615,f932]) ).
fof(f2809,plain,
! [X0] :
( empty(X0)
| in(sK20(sK9(sK7(sK8(X0)))),X0) ),
inference(duplicate_literal_removal,[],[f2808]) ).
fof(f2808,plain,
! [X0] :
( empty(X0)
| empty(X0)
| in(sK20(sK9(sK7(sK8(X0)))),X0) ),
inference(resolution,[],[f1773,f517]) ).
fof(f2813,plain,
! [X0,X1] :
( ~ is_eventually_in(X0,X1,sK20(sK9(sK7(sK8(powerset(the_carrier(X0)))))))
| in(sK20(sK9(sK7(sK8(powerset(the_carrier(X0)))))),a_2_1_yellow19(X0,X1))
| ~ net_str(X1,X0)
| empty_carrier(X1)
| ~ one_sorted_str(X0)
| empty_carrier(X0) ),
inference(subsumption_resolution,[],[f2807,f354]) ).
fof(f2807,plain,
! [X0,X1] :
( empty(powerset(the_carrier(X0)))
| ~ is_eventually_in(X0,X1,sK20(sK9(sK7(sK8(powerset(the_carrier(X0)))))))
| in(sK20(sK9(sK7(sK8(powerset(the_carrier(X0)))))),a_2_1_yellow19(X0,X1))
| ~ net_str(X1,X0)
| empty_carrier(X1)
| ~ one_sorted_str(X0)
| empty_carrier(X0) ),
inference(resolution,[],[f1773,f621]) ).
fof(f2812,plain,
! [X0] :
( finite(sK20(sK9(sK7(sK8(powerset(X0))))))
| ~ finite(X0) ),
inference(subsumption_resolution,[],[f2806,f354]) ).
fof(f2806,plain,
! [X0] :
( empty(powerset(X0))
| finite(sK20(sK9(sK7(sK8(powerset(X0))))))
| ~ finite(X0) ),
inference(resolution,[],[f1773,f428]) ).
fof(f2811,plain,
! [X0,X1] :
( ~ empty(X0)
| ~ in(X1,sK20(sK9(sK7(sK8(powerset(X0)))))) ),
inference(subsumption_resolution,[],[f2805,f354]) ).
fof(f2805,plain,
! [X0,X1] :
( empty(powerset(X0))
| ~ empty(X0)
| ~ in(X1,sK20(sK9(sK7(sK8(powerset(X0)))))) ),
inference(resolution,[],[f1773,f540]) ).
fof(f2810,plain,
! [X0,X1] :
( element(X1,X0)
| ~ in(X1,sK20(sK9(sK7(sK8(powerset(X0)))))) ),
inference(subsumption_resolution,[],[f2804,f354]) ).
fof(f2804,plain,
! [X0,X1] :
( empty(powerset(X0))
| element(X1,X0)
| ~ in(X1,sK20(sK9(sK7(sK8(powerset(X0)))))) ),
inference(resolution,[],[f1773,f537]) ).
fof(f1773,plain,
! [X0] :
( element(sK20(sK9(sK7(sK8(X0)))),X0)
| empty(X0) ),
inference(subsumption_resolution,[],[f1755,f417]) ).
fof(f1755,plain,
! [X0] :
( empty(sK8(X0))
| element(sK20(sK9(sK7(sK8(X0)))),X0)
| empty(X0) ),
inference(resolution,[],[f1615,f931]) ).
fof(f2799,plain,
! [X0] :
( empty(X0)
| in(sK20(sK9(sK7(sK7(X0)))),X0) ),
inference(duplicate_literal_removal,[],[f2798]) ).
fof(f2798,plain,
! [X0] :
( empty(X0)
| empty(X0)
| in(sK20(sK9(sK7(sK7(X0)))),X0) ),
inference(resolution,[],[f1772,f517]) ).
fof(f2803,plain,
! [X0,X1] :
( ~ is_eventually_in(X0,X1,sK20(sK9(sK7(sK7(powerset(the_carrier(X0)))))))
| in(sK20(sK9(sK7(sK7(powerset(the_carrier(X0)))))),a_2_1_yellow19(X0,X1))
| ~ net_str(X1,X0)
| empty_carrier(X1)
| ~ one_sorted_str(X0)
| empty_carrier(X0) ),
inference(subsumption_resolution,[],[f2797,f354]) ).
fof(f2797,plain,
! [X0,X1] :
( empty(powerset(the_carrier(X0)))
| ~ is_eventually_in(X0,X1,sK20(sK9(sK7(sK7(powerset(the_carrier(X0)))))))
| in(sK20(sK9(sK7(sK7(powerset(the_carrier(X0)))))),a_2_1_yellow19(X0,X1))
| ~ net_str(X1,X0)
| empty_carrier(X1)
| ~ one_sorted_str(X0)
| empty_carrier(X0) ),
inference(resolution,[],[f1772,f621]) ).
fof(f2802,plain,
! [X0] :
( finite(sK20(sK9(sK7(sK7(powerset(X0))))))
| ~ finite(X0) ),
inference(subsumption_resolution,[],[f2796,f354]) ).
fof(f2796,plain,
! [X0] :
( empty(powerset(X0))
| finite(sK20(sK9(sK7(sK7(powerset(X0))))))
| ~ finite(X0) ),
inference(resolution,[],[f1772,f428]) ).
fof(f2801,plain,
! [X0,X1] :
( ~ empty(X0)
| ~ in(X1,sK20(sK9(sK7(sK7(powerset(X0)))))) ),
inference(subsumption_resolution,[],[f2795,f354]) ).
fof(f2795,plain,
! [X0,X1] :
( empty(powerset(X0))
| ~ empty(X0)
| ~ in(X1,sK20(sK9(sK7(sK7(powerset(X0)))))) ),
inference(resolution,[],[f1772,f540]) ).
fof(f2800,plain,
! [X0,X1] :
( element(X1,X0)
| ~ in(X1,sK20(sK9(sK7(sK7(powerset(X0)))))) ),
inference(subsumption_resolution,[],[f2794,f354]) ).
fof(f2794,plain,
! [X0,X1] :
( empty(powerset(X0))
| element(X1,X0)
| ~ in(X1,sK20(sK9(sK7(sK7(powerset(X0)))))) ),
inference(resolution,[],[f1772,f537]) ).
fof(f1772,plain,
! [X0] :
( element(sK20(sK9(sK7(sK7(X0)))),X0)
| empty(X0) ),
inference(subsumption_resolution,[],[f1754,f415]) ).
fof(f1754,plain,
! [X0] :
( empty(sK7(X0))
| element(sK20(sK9(sK7(sK7(X0)))),X0)
| empty(X0) ),
inference(resolution,[],[f1615,f930]) ).
fof(f2793,plain,
! [X0,X1] :
( ~ in(X0,sK13(X1))
| ~ rel_str(X1)
| in(X0,the_carrier(X1)) ),
inference(subsumption_resolution,[],[f2792,f817]) ).
fof(f2792,plain,
! [X0,X1] :
( ~ in(X0,sK13(X1))
| ~ rel_str(X1)
| empty(the_carrier(X1))
| in(X0,the_carrier(X1)) ),
inference(resolution,[],[f935,f517]) ).
fof(f935,plain,
! [X0,X1] :
( element(X0,the_carrier(X1))
| ~ in(X0,sK13(X1))
| ~ rel_str(X1) ),
inference(resolution,[],[f537,f485]) ).
fof(f2787,plain,
! [X0] :
( empty(X0)
| in(sK20(sK8(sK9(sK9(X0)))),X0) ),
inference(duplicate_literal_removal,[],[f2786]) ).
fof(f2786,plain,
! [X0] :
( empty(X0)
| empty(X0)
| in(sK20(sK8(sK9(sK9(X0)))),X0) ),
inference(resolution,[],[f1745,f517]) ).
fof(f2791,plain,
! [X0,X1] :
( ~ is_eventually_in(X0,X1,sK20(sK8(sK9(sK9(powerset(the_carrier(X0)))))))
| in(sK20(sK8(sK9(sK9(powerset(the_carrier(X0)))))),a_2_1_yellow19(X0,X1))
| ~ net_str(X1,X0)
| empty_carrier(X1)
| ~ one_sorted_str(X0)
| empty_carrier(X0) ),
inference(subsumption_resolution,[],[f2785,f354]) ).
fof(f2785,plain,
! [X0,X1] :
( empty(powerset(the_carrier(X0)))
| ~ is_eventually_in(X0,X1,sK20(sK8(sK9(sK9(powerset(the_carrier(X0)))))))
| in(sK20(sK8(sK9(sK9(powerset(the_carrier(X0)))))),a_2_1_yellow19(X0,X1))
| ~ net_str(X1,X0)
| empty_carrier(X1)
| ~ one_sorted_str(X0)
| empty_carrier(X0) ),
inference(resolution,[],[f1745,f621]) ).
fof(f2790,plain,
! [X0] :
( finite(sK20(sK8(sK9(sK9(powerset(X0))))))
| ~ finite(X0) ),
inference(subsumption_resolution,[],[f2784,f354]) ).
fof(f2784,plain,
! [X0] :
( empty(powerset(X0))
| finite(sK20(sK8(sK9(sK9(powerset(X0))))))
| ~ finite(X0) ),
inference(resolution,[],[f1745,f428]) ).
fof(f2789,plain,
! [X0,X1] :
( ~ empty(X0)
| ~ in(X1,sK20(sK8(sK9(sK9(powerset(X0)))))) ),
inference(subsumption_resolution,[],[f2783,f354]) ).
fof(f2783,plain,
! [X0,X1] :
( empty(powerset(X0))
| ~ empty(X0)
| ~ in(X1,sK20(sK8(sK9(sK9(powerset(X0)))))) ),
inference(resolution,[],[f1745,f540]) ).
fof(f2788,plain,
! [X0,X1] :
( element(X1,X0)
| ~ in(X1,sK20(sK8(sK9(sK9(powerset(X0)))))) ),
inference(subsumption_resolution,[],[f2782,f354]) ).
fof(f2782,plain,
! [X0,X1] :
( empty(powerset(X0))
| element(X1,X0)
| ~ in(X1,sK20(sK8(sK9(sK9(powerset(X0)))))) ),
inference(resolution,[],[f1745,f537]) ).
fof(f1745,plain,
! [X0] :
( element(sK20(sK8(sK9(sK9(X0)))),X0)
| empty(X0) ),
inference(subsumption_resolution,[],[f1727,f420]) ).
fof(f1727,plain,
! [X0] :
( empty(sK9(X0))
| element(sK20(sK8(sK9(sK9(X0)))),X0)
| empty(X0) ),
inference(resolution,[],[f1607,f932]) ).
fof(f2777,plain,
! [X0] :
( empty(X0)
| in(sK20(sK8(sK9(sK8(X0)))),X0) ),
inference(duplicate_literal_removal,[],[f2776]) ).
fof(f2776,plain,
! [X0] :
( empty(X0)
| empty(X0)
| in(sK20(sK8(sK9(sK8(X0)))),X0) ),
inference(resolution,[],[f1744,f517]) ).
fof(f2781,plain,
! [X0,X1] :
( ~ is_eventually_in(X0,X1,sK20(sK8(sK9(sK8(powerset(the_carrier(X0)))))))
| in(sK20(sK8(sK9(sK8(powerset(the_carrier(X0)))))),a_2_1_yellow19(X0,X1))
| ~ net_str(X1,X0)
| empty_carrier(X1)
| ~ one_sorted_str(X0)
| empty_carrier(X0) ),
inference(subsumption_resolution,[],[f2775,f354]) ).
fof(f2775,plain,
! [X0,X1] :
( empty(powerset(the_carrier(X0)))
| ~ is_eventually_in(X0,X1,sK20(sK8(sK9(sK8(powerset(the_carrier(X0)))))))
| in(sK20(sK8(sK9(sK8(powerset(the_carrier(X0)))))),a_2_1_yellow19(X0,X1))
| ~ net_str(X1,X0)
| empty_carrier(X1)
| ~ one_sorted_str(X0)
| empty_carrier(X0) ),
inference(resolution,[],[f1744,f621]) ).
fof(f2780,plain,
! [X0] :
( finite(sK20(sK8(sK9(sK8(powerset(X0))))))
| ~ finite(X0) ),
inference(subsumption_resolution,[],[f2774,f354]) ).
fof(f2774,plain,
! [X0] :
( empty(powerset(X0))
| finite(sK20(sK8(sK9(sK8(powerset(X0))))))
| ~ finite(X0) ),
inference(resolution,[],[f1744,f428]) ).
fof(f2779,plain,
! [X0,X1] :
( ~ empty(X0)
| ~ in(X1,sK20(sK8(sK9(sK8(powerset(X0)))))) ),
inference(subsumption_resolution,[],[f2773,f354]) ).
fof(f2773,plain,
! [X0,X1] :
( empty(powerset(X0))
| ~ empty(X0)
| ~ in(X1,sK20(sK8(sK9(sK8(powerset(X0)))))) ),
inference(resolution,[],[f1744,f540]) ).
fof(f2778,plain,
! [X0,X1] :
( element(X1,X0)
| ~ in(X1,sK20(sK8(sK9(sK8(powerset(X0)))))) ),
inference(subsumption_resolution,[],[f2772,f354]) ).
fof(f2772,plain,
! [X0,X1] :
( empty(powerset(X0))
| element(X1,X0)
| ~ in(X1,sK20(sK8(sK9(sK8(powerset(X0)))))) ),
inference(resolution,[],[f1744,f537]) ).
fof(f1744,plain,
! [X0] :
( element(sK20(sK8(sK9(sK8(X0)))),X0)
| empty(X0) ),
inference(subsumption_resolution,[],[f1726,f417]) ).
fof(f1726,plain,
! [X0] :
( empty(sK8(X0))
| element(sK20(sK8(sK9(sK8(X0)))),X0)
| empty(X0) ),
inference(resolution,[],[f1607,f931]) ).
fof(f2767,plain,
! [X0] :
( empty(X0)
| in(sK20(sK8(sK9(sK7(X0)))),X0) ),
inference(duplicate_literal_removal,[],[f2766]) ).
fof(f2766,plain,
! [X0] :
( empty(X0)
| empty(X0)
| in(sK20(sK8(sK9(sK7(X0)))),X0) ),
inference(resolution,[],[f1743,f517]) ).
fof(f2771,plain,
! [X0,X1] :
( ~ is_eventually_in(X0,X1,sK20(sK8(sK9(sK7(powerset(the_carrier(X0)))))))
| in(sK20(sK8(sK9(sK7(powerset(the_carrier(X0)))))),a_2_1_yellow19(X0,X1))
| ~ net_str(X1,X0)
| empty_carrier(X1)
| ~ one_sorted_str(X0)
| empty_carrier(X0) ),
inference(subsumption_resolution,[],[f2765,f354]) ).
fof(f2765,plain,
! [X0,X1] :
( empty(powerset(the_carrier(X0)))
| ~ is_eventually_in(X0,X1,sK20(sK8(sK9(sK7(powerset(the_carrier(X0)))))))
| in(sK20(sK8(sK9(sK7(powerset(the_carrier(X0)))))),a_2_1_yellow19(X0,X1))
| ~ net_str(X1,X0)
| empty_carrier(X1)
| ~ one_sorted_str(X0)
| empty_carrier(X0) ),
inference(resolution,[],[f1743,f621]) ).
fof(f2770,plain,
! [X0] :
( finite(sK20(sK8(sK9(sK7(powerset(X0))))))
| ~ finite(X0) ),
inference(subsumption_resolution,[],[f2764,f354]) ).
fof(f2764,plain,
! [X0] :
( empty(powerset(X0))
| finite(sK20(sK8(sK9(sK7(powerset(X0))))))
| ~ finite(X0) ),
inference(resolution,[],[f1743,f428]) ).
fof(f2769,plain,
! [X0,X1] :
( ~ empty(X0)
| ~ in(X1,sK20(sK8(sK9(sK7(powerset(X0)))))) ),
inference(subsumption_resolution,[],[f2763,f354]) ).
fof(f2763,plain,
! [X0,X1] :
( empty(powerset(X0))
| ~ empty(X0)
| ~ in(X1,sK20(sK8(sK9(sK7(powerset(X0)))))) ),
inference(resolution,[],[f1743,f540]) ).
fof(f2768,plain,
! [X0,X1] :
( element(X1,X0)
| ~ in(X1,sK20(sK8(sK9(sK7(powerset(X0)))))) ),
inference(subsumption_resolution,[],[f2762,f354]) ).
fof(f2762,plain,
! [X0,X1] :
( empty(powerset(X0))
| element(X1,X0)
| ~ in(X1,sK20(sK8(sK9(sK7(powerset(X0)))))) ),
inference(resolution,[],[f1743,f537]) ).
fof(f1743,plain,
! [X0] :
( element(sK20(sK8(sK9(sK7(X0)))),X0)
| empty(X0) ),
inference(subsumption_resolution,[],[f1725,f415]) ).
fof(f1725,plain,
! [X0] :
( empty(sK7(X0))
| element(sK20(sK8(sK9(sK7(X0)))),X0)
| empty(X0) ),
inference(resolution,[],[f1607,f930]) ).
fof(f2757,plain,
! [X0] :
( empty(X0)
| in(sK20(sK7(sK9(sK9(X0)))),X0) ),
inference(duplicate_literal_removal,[],[f2756]) ).
fof(f2756,plain,
! [X0] :
( empty(X0)
| empty(X0)
| in(sK20(sK7(sK9(sK9(X0)))),X0) ),
inference(resolution,[],[f1716,f517]) ).
fof(f2761,plain,
! [X0,X1] :
( ~ is_eventually_in(X0,X1,sK20(sK7(sK9(sK9(powerset(the_carrier(X0)))))))
| in(sK20(sK7(sK9(sK9(powerset(the_carrier(X0)))))),a_2_1_yellow19(X0,X1))
| ~ net_str(X1,X0)
| empty_carrier(X1)
| ~ one_sorted_str(X0)
| empty_carrier(X0) ),
inference(subsumption_resolution,[],[f2755,f354]) ).
fof(f2755,plain,
! [X0,X1] :
( empty(powerset(the_carrier(X0)))
| ~ is_eventually_in(X0,X1,sK20(sK7(sK9(sK9(powerset(the_carrier(X0)))))))
| in(sK20(sK7(sK9(sK9(powerset(the_carrier(X0)))))),a_2_1_yellow19(X0,X1))
| ~ net_str(X1,X0)
| empty_carrier(X1)
| ~ one_sorted_str(X0)
| empty_carrier(X0) ),
inference(resolution,[],[f1716,f621]) ).
fof(f2760,plain,
! [X0] :
( finite(sK20(sK7(sK9(sK9(powerset(X0))))))
| ~ finite(X0) ),
inference(subsumption_resolution,[],[f2754,f354]) ).
fof(f2754,plain,
! [X0] :
( empty(powerset(X0))
| finite(sK20(sK7(sK9(sK9(powerset(X0))))))
| ~ finite(X0) ),
inference(resolution,[],[f1716,f428]) ).
fof(f2759,plain,
! [X0,X1] :
( ~ empty(X0)
| ~ in(X1,sK20(sK7(sK9(sK9(powerset(X0)))))) ),
inference(subsumption_resolution,[],[f2753,f354]) ).
fof(f2753,plain,
! [X0,X1] :
( empty(powerset(X0))
| ~ empty(X0)
| ~ in(X1,sK20(sK7(sK9(sK9(powerset(X0)))))) ),
inference(resolution,[],[f1716,f540]) ).
fof(f2758,plain,
! [X0,X1] :
( element(X1,X0)
| ~ in(X1,sK20(sK7(sK9(sK9(powerset(X0)))))) ),
inference(subsumption_resolution,[],[f2752,f354]) ).
fof(f2752,plain,
! [X0,X1] :
( empty(powerset(X0))
| element(X1,X0)
| ~ in(X1,sK20(sK7(sK9(sK9(powerset(X0)))))) ),
inference(resolution,[],[f1716,f537]) ).
fof(f1716,plain,
! [X0] :
( element(sK20(sK7(sK9(sK9(X0)))),X0)
| empty(X0) ),
inference(subsumption_resolution,[],[f1698,f420]) ).
fof(f1698,plain,
! [X0] :
( empty(sK9(X0))
| element(sK20(sK7(sK9(sK9(X0)))),X0)
| empty(X0) ),
inference(resolution,[],[f1599,f932]) ).
fof(f2747,plain,
! [X0] :
( empty(X0)
| in(sK20(sK7(sK9(sK8(X0)))),X0) ),
inference(duplicate_literal_removal,[],[f2746]) ).
fof(f2746,plain,
! [X0] :
( empty(X0)
| empty(X0)
| in(sK20(sK7(sK9(sK8(X0)))),X0) ),
inference(resolution,[],[f1715,f517]) ).
fof(f2751,plain,
! [X0,X1] :
( ~ is_eventually_in(X0,X1,sK20(sK7(sK9(sK8(powerset(the_carrier(X0)))))))
| in(sK20(sK7(sK9(sK8(powerset(the_carrier(X0)))))),a_2_1_yellow19(X0,X1))
| ~ net_str(X1,X0)
| empty_carrier(X1)
| ~ one_sorted_str(X0)
| empty_carrier(X0) ),
inference(subsumption_resolution,[],[f2745,f354]) ).
fof(f2745,plain,
! [X0,X1] :
( empty(powerset(the_carrier(X0)))
| ~ is_eventually_in(X0,X1,sK20(sK7(sK9(sK8(powerset(the_carrier(X0)))))))
| in(sK20(sK7(sK9(sK8(powerset(the_carrier(X0)))))),a_2_1_yellow19(X0,X1))
| ~ net_str(X1,X0)
| empty_carrier(X1)
| ~ one_sorted_str(X0)
| empty_carrier(X0) ),
inference(resolution,[],[f1715,f621]) ).
fof(f2750,plain,
! [X0] :
( finite(sK20(sK7(sK9(sK8(powerset(X0))))))
| ~ finite(X0) ),
inference(subsumption_resolution,[],[f2744,f354]) ).
fof(f2744,plain,
! [X0] :
( empty(powerset(X0))
| finite(sK20(sK7(sK9(sK8(powerset(X0))))))
| ~ finite(X0) ),
inference(resolution,[],[f1715,f428]) ).
fof(f2749,plain,
! [X0,X1] :
( ~ empty(X0)
| ~ in(X1,sK20(sK7(sK9(sK8(powerset(X0)))))) ),
inference(subsumption_resolution,[],[f2743,f354]) ).
fof(f2743,plain,
! [X0,X1] :
( empty(powerset(X0))
| ~ empty(X0)
| ~ in(X1,sK20(sK7(sK9(sK8(powerset(X0)))))) ),
inference(resolution,[],[f1715,f540]) ).
fof(f2748,plain,
! [X0,X1] :
( element(X1,X0)
| ~ in(X1,sK20(sK7(sK9(sK8(powerset(X0)))))) ),
inference(subsumption_resolution,[],[f2742,f354]) ).
fof(f2742,plain,
! [X0,X1] :
( empty(powerset(X0))
| element(X1,X0)
| ~ in(X1,sK20(sK7(sK9(sK8(powerset(X0)))))) ),
inference(resolution,[],[f1715,f537]) ).
fof(f1715,plain,
! [X0] :
( element(sK20(sK7(sK9(sK8(X0)))),X0)
| empty(X0) ),
inference(subsumption_resolution,[],[f1697,f417]) ).
fof(f1697,plain,
! [X0] :
( empty(sK8(X0))
| element(sK20(sK7(sK9(sK8(X0)))),X0)
| empty(X0) ),
inference(resolution,[],[f1599,f931]) ).
fof(f2737,plain,
! [X0] :
( empty(X0)
| in(sK20(sK7(sK9(sK7(X0)))),X0) ),
inference(duplicate_literal_removal,[],[f2736]) ).
fof(f2736,plain,
! [X0] :
( empty(X0)
| empty(X0)
| in(sK20(sK7(sK9(sK7(X0)))),X0) ),
inference(resolution,[],[f1714,f517]) ).
fof(f2741,plain,
! [X0,X1] :
( ~ is_eventually_in(X0,X1,sK20(sK7(sK9(sK7(powerset(the_carrier(X0)))))))
| in(sK20(sK7(sK9(sK7(powerset(the_carrier(X0)))))),a_2_1_yellow19(X0,X1))
| ~ net_str(X1,X0)
| empty_carrier(X1)
| ~ one_sorted_str(X0)
| empty_carrier(X0) ),
inference(subsumption_resolution,[],[f2735,f354]) ).
fof(f2735,plain,
! [X0,X1] :
( empty(powerset(the_carrier(X0)))
| ~ is_eventually_in(X0,X1,sK20(sK7(sK9(sK7(powerset(the_carrier(X0)))))))
| in(sK20(sK7(sK9(sK7(powerset(the_carrier(X0)))))),a_2_1_yellow19(X0,X1))
| ~ net_str(X1,X0)
| empty_carrier(X1)
| ~ one_sorted_str(X0)
| empty_carrier(X0) ),
inference(resolution,[],[f1714,f621]) ).
fof(f2740,plain,
! [X0] :
( finite(sK20(sK7(sK9(sK7(powerset(X0))))))
| ~ finite(X0) ),
inference(subsumption_resolution,[],[f2734,f354]) ).
fof(f2734,plain,
! [X0] :
( empty(powerset(X0))
| finite(sK20(sK7(sK9(sK7(powerset(X0))))))
| ~ finite(X0) ),
inference(resolution,[],[f1714,f428]) ).
fof(f2739,plain,
! [X0,X1] :
( ~ empty(X0)
| ~ in(X1,sK20(sK7(sK9(sK7(powerset(X0)))))) ),
inference(subsumption_resolution,[],[f2733,f354]) ).
fof(f2733,plain,
! [X0,X1] :
( empty(powerset(X0))
| ~ empty(X0)
| ~ in(X1,sK20(sK7(sK9(sK7(powerset(X0)))))) ),
inference(resolution,[],[f1714,f540]) ).
fof(f2738,plain,
! [X0,X1] :
( element(X1,X0)
| ~ in(X1,sK20(sK7(sK9(sK7(powerset(X0)))))) ),
inference(subsumption_resolution,[],[f2732,f354]) ).
fof(f2732,plain,
! [X0,X1] :
( empty(powerset(X0))
| element(X1,X0)
| ~ in(X1,sK20(sK7(sK9(sK7(powerset(X0)))))) ),
inference(resolution,[],[f1714,f537]) ).
fof(f1714,plain,
! [X0] :
( element(sK20(sK7(sK9(sK7(X0)))),X0)
| empty(X0) ),
inference(subsumption_resolution,[],[f1696,f415]) ).
fof(f1696,plain,
! [X0] :
( empty(sK7(X0))
| element(sK20(sK7(sK9(sK7(X0)))),X0)
| empty(X0) ),
inference(resolution,[],[f1599,f930]) ).
fof(f2728,plain,
! [X0,X1] :
( ~ in(X0,sK12(X1))
| ~ rel_str(X1)
| in(X0,the_carrier(X1)) ),
inference(subsumption_resolution,[],[f2727,f816]) ).
fof(f2727,plain,
! [X0,X1] :
( ~ in(X0,sK12(X1))
| ~ rel_str(X1)
| empty(the_carrier(X1))
| in(X0,the_carrier(X1)) ),
inference(resolution,[],[f934,f517]) ).
fof(f934,plain,
! [X0,X1] :
( element(X0,the_carrier(X1))
| ~ in(X0,sK12(X1))
| ~ rel_str(X1) ),
inference(resolution,[],[f537,f484]) ).
fof(f2696,plain,
! [X0] :
( empty(X0)
| in(sK20(sK8(sK8(sK9(X0)))),X0) ),
inference(duplicate_literal_removal,[],[f2695]) ).
fof(f2695,plain,
! [X0] :
( empty(X0)
| empty(X0)
| in(sK20(sK8(sK8(sK9(X0)))),X0) ),
inference(resolution,[],[f1520,f517]) ).
fof(f2700,plain,
! [X0,X1] :
( ~ is_eventually_in(X0,X1,sK20(sK8(sK8(sK9(powerset(the_carrier(X0)))))))
| in(sK20(sK8(sK8(sK9(powerset(the_carrier(X0)))))),a_2_1_yellow19(X0,X1))
| ~ net_str(X1,X0)
| empty_carrier(X1)
| ~ one_sorted_str(X0)
| empty_carrier(X0) ),
inference(subsumption_resolution,[],[f2694,f354]) ).
fof(f2694,plain,
! [X0,X1] :
( empty(powerset(the_carrier(X0)))
| ~ is_eventually_in(X0,X1,sK20(sK8(sK8(sK9(powerset(the_carrier(X0)))))))
| in(sK20(sK8(sK8(sK9(powerset(the_carrier(X0)))))),a_2_1_yellow19(X0,X1))
| ~ net_str(X1,X0)
| empty_carrier(X1)
| ~ one_sorted_str(X0)
| empty_carrier(X0) ),
inference(resolution,[],[f1520,f621]) ).
fof(f2699,plain,
! [X0] :
( finite(sK20(sK8(sK8(sK9(powerset(X0))))))
| ~ finite(X0) ),
inference(subsumption_resolution,[],[f2693,f354]) ).
fof(f2693,plain,
! [X0] :
( empty(powerset(X0))
| finite(sK20(sK8(sK8(sK9(powerset(X0))))))
| ~ finite(X0) ),
inference(resolution,[],[f1520,f428]) ).
fof(f2698,plain,
! [X0,X1] :
( ~ empty(X0)
| ~ in(X1,sK20(sK8(sK8(sK9(powerset(X0)))))) ),
inference(subsumption_resolution,[],[f2692,f354]) ).
fof(f2692,plain,
! [X0,X1] :
( empty(powerset(X0))
| ~ empty(X0)
| ~ in(X1,sK20(sK8(sK8(sK9(powerset(X0)))))) ),
inference(resolution,[],[f1520,f540]) ).
fof(f2697,plain,
! [X0,X1] :
( element(X1,X0)
| ~ in(X1,sK20(sK8(sK8(sK9(powerset(X0)))))) ),
inference(subsumption_resolution,[],[f2691,f354]) ).
fof(f2691,plain,
! [X0,X1] :
( empty(powerset(X0))
| element(X1,X0)
| ~ in(X1,sK20(sK8(sK8(sK9(powerset(X0)))))) ),
inference(resolution,[],[f1520,f537]) ).
fof(f1520,plain,
! [X0] :
( element(sK20(sK8(sK8(sK9(X0)))),X0)
| empty(X0) ),
inference(subsumption_resolution,[],[f1509,f420]) ).
fof(f1509,plain,
! [X0] :
( element(sK20(sK8(sK8(sK9(X0)))),X0)
| empty(X0)
| empty(sK9(X0)) ),
inference(resolution,[],[f932,f1322]) ).
fof(f2686,plain,
! [X0] :
( empty(X0)
| in(sK20(sK8(sK7(sK9(X0)))),X0) ),
inference(duplicate_literal_removal,[],[f2685]) ).
fof(f2685,plain,
! [X0] :
( empty(X0)
| empty(X0)
| in(sK20(sK8(sK7(sK9(X0)))),X0) ),
inference(resolution,[],[f1519,f517]) ).
fof(f2690,plain,
! [X0,X1] :
( ~ is_eventually_in(X0,X1,sK20(sK8(sK7(sK9(powerset(the_carrier(X0)))))))
| in(sK20(sK8(sK7(sK9(powerset(the_carrier(X0)))))),a_2_1_yellow19(X0,X1))
| ~ net_str(X1,X0)
| empty_carrier(X1)
| ~ one_sorted_str(X0)
| empty_carrier(X0) ),
inference(subsumption_resolution,[],[f2684,f354]) ).
fof(f2684,plain,
! [X0,X1] :
( empty(powerset(the_carrier(X0)))
| ~ is_eventually_in(X0,X1,sK20(sK8(sK7(sK9(powerset(the_carrier(X0)))))))
| in(sK20(sK8(sK7(sK9(powerset(the_carrier(X0)))))),a_2_1_yellow19(X0,X1))
| ~ net_str(X1,X0)
| empty_carrier(X1)
| ~ one_sorted_str(X0)
| empty_carrier(X0) ),
inference(resolution,[],[f1519,f621]) ).
fof(f2689,plain,
! [X0] :
( finite(sK20(sK8(sK7(sK9(powerset(X0))))))
| ~ finite(X0) ),
inference(subsumption_resolution,[],[f2683,f354]) ).
fof(f2683,plain,
! [X0] :
( empty(powerset(X0))
| finite(sK20(sK8(sK7(sK9(powerset(X0))))))
| ~ finite(X0) ),
inference(resolution,[],[f1519,f428]) ).
fof(f2688,plain,
! [X0,X1] :
( ~ empty(X0)
| ~ in(X1,sK20(sK8(sK7(sK9(powerset(X0)))))) ),
inference(subsumption_resolution,[],[f2682,f354]) ).
fof(f2682,plain,
! [X0,X1] :
( empty(powerset(X0))
| ~ empty(X0)
| ~ in(X1,sK20(sK8(sK7(sK9(powerset(X0)))))) ),
inference(resolution,[],[f1519,f540]) ).
fof(f2687,plain,
! [X0,X1] :
( element(X1,X0)
| ~ in(X1,sK20(sK8(sK7(sK9(powerset(X0)))))) ),
inference(subsumption_resolution,[],[f2681,f354]) ).
fof(f2681,plain,
! [X0,X1] :
( empty(powerset(X0))
| element(X1,X0)
| ~ in(X1,sK20(sK8(sK7(sK9(powerset(X0)))))) ),
inference(resolution,[],[f1519,f537]) ).
fof(f1519,plain,
! [X0] :
( element(sK20(sK8(sK7(sK9(X0)))),X0)
| empty(X0) ),
inference(subsumption_resolution,[],[f1508,f420]) ).
fof(f1508,plain,
! [X0] :
( element(sK20(sK8(sK7(sK9(X0)))),X0)
| empty(X0)
| empty(sK9(X0)) ),
inference(resolution,[],[f932,f1314]) ).
fof(f2676,plain,
! [X0] :
( empty(X0)
| in(sK20(sK7(sK8(sK9(X0)))),X0) ),
inference(duplicate_literal_removal,[],[f2675]) ).
fof(f2675,plain,
! [X0] :
( empty(X0)
| empty(X0)
| in(sK20(sK7(sK8(sK9(X0)))),X0) ),
inference(resolution,[],[f1517,f517]) ).
fof(f2680,plain,
! [X0,X1] :
( ~ is_eventually_in(X0,X1,sK20(sK7(sK8(sK9(powerset(the_carrier(X0)))))))
| in(sK20(sK7(sK8(sK9(powerset(the_carrier(X0)))))),a_2_1_yellow19(X0,X1))
| ~ net_str(X1,X0)
| empty_carrier(X1)
| ~ one_sorted_str(X0)
| empty_carrier(X0) ),
inference(subsumption_resolution,[],[f2674,f354]) ).
fof(f2674,plain,
! [X0,X1] :
( empty(powerset(the_carrier(X0)))
| ~ is_eventually_in(X0,X1,sK20(sK7(sK8(sK9(powerset(the_carrier(X0)))))))
| in(sK20(sK7(sK8(sK9(powerset(the_carrier(X0)))))),a_2_1_yellow19(X0,X1))
| ~ net_str(X1,X0)
| empty_carrier(X1)
| ~ one_sorted_str(X0)
| empty_carrier(X0) ),
inference(resolution,[],[f1517,f621]) ).
fof(f2679,plain,
! [X0] :
( finite(sK20(sK7(sK8(sK9(powerset(X0))))))
| ~ finite(X0) ),
inference(subsumption_resolution,[],[f2673,f354]) ).
fof(f2673,plain,
! [X0] :
( empty(powerset(X0))
| finite(sK20(sK7(sK8(sK9(powerset(X0))))))
| ~ finite(X0) ),
inference(resolution,[],[f1517,f428]) ).
fof(f2678,plain,
! [X0,X1] :
( ~ empty(X0)
| ~ in(X1,sK20(sK7(sK8(sK9(powerset(X0)))))) ),
inference(subsumption_resolution,[],[f2672,f354]) ).
fof(f2672,plain,
! [X0,X1] :
( empty(powerset(X0))
| ~ empty(X0)
| ~ in(X1,sK20(sK7(sK8(sK9(powerset(X0)))))) ),
inference(resolution,[],[f1517,f540]) ).
fof(f2677,plain,
! [X0,X1] :
( element(X1,X0)
| ~ in(X1,sK20(sK7(sK8(sK9(powerset(X0)))))) ),
inference(subsumption_resolution,[],[f2671,f354]) ).
fof(f2671,plain,
! [X0,X1] :
( empty(powerset(X0))
| element(X1,X0)
| ~ in(X1,sK20(sK7(sK8(sK9(powerset(X0)))))) ),
inference(resolution,[],[f1517,f537]) ).
fof(f1517,plain,
! [X0] :
( element(sK20(sK7(sK8(sK9(X0)))),X0)
| empty(X0) ),
inference(subsumption_resolution,[],[f1506,f420]) ).
fof(f1506,plain,
! [X0] :
( element(sK20(sK7(sK8(sK9(X0)))),X0)
| empty(X0)
| empty(sK9(X0)) ),
inference(resolution,[],[f932,f1306]) ).
fof(f2666,plain,
! [X0] :
( empty(X0)
| in(sK20(sK7(sK7(sK9(X0)))),X0) ),
inference(duplicate_literal_removal,[],[f2665]) ).
fof(f2665,plain,
! [X0] :
( empty(X0)
| empty(X0)
| in(sK20(sK7(sK7(sK9(X0)))),X0) ),
inference(resolution,[],[f1516,f517]) ).
fof(f2670,plain,
! [X0,X1] :
( ~ is_eventually_in(X0,X1,sK20(sK7(sK7(sK9(powerset(the_carrier(X0)))))))
| in(sK20(sK7(sK7(sK9(powerset(the_carrier(X0)))))),a_2_1_yellow19(X0,X1))
| ~ net_str(X1,X0)
| empty_carrier(X1)
| ~ one_sorted_str(X0)
| empty_carrier(X0) ),
inference(subsumption_resolution,[],[f2664,f354]) ).
fof(f2664,plain,
! [X0,X1] :
( empty(powerset(the_carrier(X0)))
| ~ is_eventually_in(X0,X1,sK20(sK7(sK7(sK9(powerset(the_carrier(X0)))))))
| in(sK20(sK7(sK7(sK9(powerset(the_carrier(X0)))))),a_2_1_yellow19(X0,X1))
| ~ net_str(X1,X0)
| empty_carrier(X1)
| ~ one_sorted_str(X0)
| empty_carrier(X0) ),
inference(resolution,[],[f1516,f621]) ).
fof(f2669,plain,
! [X0] :
( finite(sK20(sK7(sK7(sK9(powerset(X0))))))
| ~ finite(X0) ),
inference(subsumption_resolution,[],[f2663,f354]) ).
fof(f2663,plain,
! [X0] :
( empty(powerset(X0))
| finite(sK20(sK7(sK7(sK9(powerset(X0))))))
| ~ finite(X0) ),
inference(resolution,[],[f1516,f428]) ).
fof(f2668,plain,
! [X0,X1] :
( ~ empty(X0)
| ~ in(X1,sK20(sK7(sK7(sK9(powerset(X0)))))) ),
inference(subsumption_resolution,[],[f2662,f354]) ).
fof(f2662,plain,
! [X0,X1] :
( empty(powerset(X0))
| ~ empty(X0)
| ~ in(X1,sK20(sK7(sK7(sK9(powerset(X0)))))) ),
inference(resolution,[],[f1516,f540]) ).
fof(f2667,plain,
! [X0,X1] :
( element(X1,X0)
| ~ in(X1,sK20(sK7(sK7(sK9(powerset(X0)))))) ),
inference(subsumption_resolution,[],[f2661,f354]) ).
fof(f2661,plain,
! [X0,X1] :
( empty(powerset(X0))
| element(X1,X0)
| ~ in(X1,sK20(sK7(sK7(sK9(powerset(X0)))))) ),
inference(resolution,[],[f1516,f537]) ).
fof(f1516,plain,
! [X0] :
( element(sK20(sK7(sK7(sK9(X0)))),X0)
| empty(X0) ),
inference(subsumption_resolution,[],[f1505,f420]) ).
fof(f1505,plain,
! [X0] :
( element(sK20(sK7(sK7(sK9(X0)))),X0)
| empty(X0)
| empty(sK9(X0)) ),
inference(resolution,[],[f932,f1075]) ).
fof(f2656,plain,
! [X0] :
( empty(X0)
| in(sK20(sK8(sK8(sK8(X0)))),X0) ),
inference(duplicate_literal_removal,[],[f2655]) ).
fof(f2655,plain,
! [X0] :
( empty(X0)
| empty(X0)
| in(sK20(sK8(sK8(sK8(X0)))),X0) ),
inference(resolution,[],[f1439,f517]) ).
fof(f2660,plain,
! [X0,X1] :
( ~ is_eventually_in(X0,X1,sK20(sK8(sK8(sK8(powerset(the_carrier(X0)))))))
| in(sK20(sK8(sK8(sK8(powerset(the_carrier(X0)))))),a_2_1_yellow19(X0,X1))
| ~ net_str(X1,X0)
| empty_carrier(X1)
| ~ one_sorted_str(X0)
| empty_carrier(X0) ),
inference(subsumption_resolution,[],[f2654,f354]) ).
fof(f2654,plain,
! [X0,X1] :
( empty(powerset(the_carrier(X0)))
| ~ is_eventually_in(X0,X1,sK20(sK8(sK8(sK8(powerset(the_carrier(X0)))))))
| in(sK20(sK8(sK8(sK8(powerset(the_carrier(X0)))))),a_2_1_yellow19(X0,X1))
| ~ net_str(X1,X0)
| empty_carrier(X1)
| ~ one_sorted_str(X0)
| empty_carrier(X0) ),
inference(resolution,[],[f1439,f621]) ).
fof(f2659,plain,
! [X0] :
( finite(sK20(sK8(sK8(sK8(powerset(X0))))))
| ~ finite(X0) ),
inference(subsumption_resolution,[],[f2653,f354]) ).
fof(f2653,plain,
! [X0] :
( empty(powerset(X0))
| finite(sK20(sK8(sK8(sK8(powerset(X0))))))
| ~ finite(X0) ),
inference(resolution,[],[f1439,f428]) ).
fof(f2658,plain,
! [X0,X1] :
( ~ empty(X0)
| ~ in(X1,sK20(sK8(sK8(sK8(powerset(X0)))))) ),
inference(subsumption_resolution,[],[f2652,f354]) ).
fof(f2652,plain,
! [X0,X1] :
( empty(powerset(X0))
| ~ empty(X0)
| ~ in(X1,sK20(sK8(sK8(sK8(powerset(X0)))))) ),
inference(resolution,[],[f1439,f540]) ).
fof(f2657,plain,
! [X0,X1] :
( element(X1,X0)
| ~ in(X1,sK20(sK8(sK8(sK8(powerset(X0)))))) ),
inference(subsumption_resolution,[],[f2651,f354]) ).
fof(f2651,plain,
! [X0,X1] :
( empty(powerset(X0))
| element(X1,X0)
| ~ in(X1,sK20(sK8(sK8(sK8(powerset(X0)))))) ),
inference(resolution,[],[f1439,f537]) ).
fof(f1439,plain,
! [X0] :
( element(sK20(sK8(sK8(sK8(X0)))),X0)
| empty(X0) ),
inference(subsumption_resolution,[],[f1424,f417]) ).
fof(f1424,plain,
! [X0] :
( empty(sK8(X0))
| element(sK20(sK8(sK8(sK8(X0)))),X0)
| empty(X0) ),
inference(resolution,[],[f1322,f931]) ).
fof(f2646,plain,
! [X0] :
( empty(X0)
| in(sK20(sK8(sK8(sK7(X0)))),X0) ),
inference(duplicate_literal_removal,[],[f2645]) ).
fof(f2645,plain,
! [X0] :
( empty(X0)
| empty(X0)
| in(sK20(sK8(sK8(sK7(X0)))),X0) ),
inference(resolution,[],[f1438,f517]) ).
fof(f2650,plain,
! [X0,X1] :
( ~ is_eventually_in(X0,X1,sK20(sK8(sK8(sK7(powerset(the_carrier(X0)))))))
| in(sK20(sK8(sK8(sK7(powerset(the_carrier(X0)))))),a_2_1_yellow19(X0,X1))
| ~ net_str(X1,X0)
| empty_carrier(X1)
| ~ one_sorted_str(X0)
| empty_carrier(X0) ),
inference(subsumption_resolution,[],[f2644,f354]) ).
fof(f2644,plain,
! [X0,X1] :
( empty(powerset(the_carrier(X0)))
| ~ is_eventually_in(X0,X1,sK20(sK8(sK8(sK7(powerset(the_carrier(X0)))))))
| in(sK20(sK8(sK8(sK7(powerset(the_carrier(X0)))))),a_2_1_yellow19(X0,X1))
| ~ net_str(X1,X0)
| empty_carrier(X1)
| ~ one_sorted_str(X0)
| empty_carrier(X0) ),
inference(resolution,[],[f1438,f621]) ).
fof(f2649,plain,
! [X0] :
( finite(sK20(sK8(sK8(sK7(powerset(X0))))))
| ~ finite(X0) ),
inference(subsumption_resolution,[],[f2643,f354]) ).
fof(f2643,plain,
! [X0] :
( empty(powerset(X0))
| finite(sK20(sK8(sK8(sK7(powerset(X0))))))
| ~ finite(X0) ),
inference(resolution,[],[f1438,f428]) ).
fof(f2648,plain,
! [X0,X1] :
( ~ empty(X0)
| ~ in(X1,sK20(sK8(sK8(sK7(powerset(X0)))))) ),
inference(subsumption_resolution,[],[f2642,f354]) ).
fof(f2642,plain,
! [X0,X1] :
( empty(powerset(X0))
| ~ empty(X0)
| ~ in(X1,sK20(sK8(sK8(sK7(powerset(X0)))))) ),
inference(resolution,[],[f1438,f540]) ).
fof(f2647,plain,
! [X0,X1] :
( element(X1,X0)
| ~ in(X1,sK20(sK8(sK8(sK7(powerset(X0)))))) ),
inference(subsumption_resolution,[],[f2641,f354]) ).
fof(f2641,plain,
! [X0,X1] :
( empty(powerset(X0))
| element(X1,X0)
| ~ in(X1,sK20(sK8(sK8(sK7(powerset(X0)))))) ),
inference(resolution,[],[f1438,f537]) ).
fof(f1438,plain,
! [X0] :
( element(sK20(sK8(sK8(sK7(X0)))),X0)
| empty(X0) ),
inference(subsumption_resolution,[],[f1423,f415]) ).
fof(f1423,plain,
! [X0] :
( empty(sK7(X0))
| element(sK20(sK8(sK8(sK7(X0)))),X0)
| empty(X0) ),
inference(resolution,[],[f1322,f930]) ).
fof(f2636,plain,
! [X0] :
( empty(X0)
| in(sK20(sK8(sK7(sK8(X0)))),X0) ),
inference(duplicate_literal_removal,[],[f2635]) ).
fof(f2635,plain,
! [X0] :
( empty(X0)
| empty(X0)
| in(sK20(sK8(sK7(sK8(X0)))),X0) ),
inference(resolution,[],[f1414,f517]) ).
fof(f2640,plain,
! [X0,X1] :
( ~ is_eventually_in(X0,X1,sK20(sK8(sK7(sK8(powerset(the_carrier(X0)))))))
| in(sK20(sK8(sK7(sK8(powerset(the_carrier(X0)))))),a_2_1_yellow19(X0,X1))
| ~ net_str(X1,X0)
| empty_carrier(X1)
| ~ one_sorted_str(X0)
| empty_carrier(X0) ),
inference(subsumption_resolution,[],[f2634,f354]) ).
fof(f2634,plain,
! [X0,X1] :
( empty(powerset(the_carrier(X0)))
| ~ is_eventually_in(X0,X1,sK20(sK8(sK7(sK8(powerset(the_carrier(X0)))))))
| in(sK20(sK8(sK7(sK8(powerset(the_carrier(X0)))))),a_2_1_yellow19(X0,X1))
| ~ net_str(X1,X0)
| empty_carrier(X1)
| ~ one_sorted_str(X0)
| empty_carrier(X0) ),
inference(resolution,[],[f1414,f621]) ).
fof(f2639,plain,
! [X0] :
( finite(sK20(sK8(sK7(sK8(powerset(X0))))))
| ~ finite(X0) ),
inference(subsumption_resolution,[],[f2633,f354]) ).
fof(f2633,plain,
! [X0] :
( empty(powerset(X0))
| finite(sK20(sK8(sK7(sK8(powerset(X0))))))
| ~ finite(X0) ),
inference(resolution,[],[f1414,f428]) ).
fof(f2638,plain,
! [X0,X1] :
( ~ empty(X0)
| ~ in(X1,sK20(sK8(sK7(sK8(powerset(X0)))))) ),
inference(subsumption_resolution,[],[f2632,f354]) ).
fof(f2632,plain,
! [X0,X1] :
( empty(powerset(X0))
| ~ empty(X0)
| ~ in(X1,sK20(sK8(sK7(sK8(powerset(X0)))))) ),
inference(resolution,[],[f1414,f540]) ).
fof(f2637,plain,
! [X0,X1] :
( element(X1,X0)
| ~ in(X1,sK20(sK8(sK7(sK8(powerset(X0)))))) ),
inference(subsumption_resolution,[],[f2631,f354]) ).
fof(f2631,plain,
! [X0,X1] :
( empty(powerset(X0))
| element(X1,X0)
| ~ in(X1,sK20(sK8(sK7(sK8(powerset(X0)))))) ),
inference(resolution,[],[f1414,f537]) ).
fof(f1414,plain,
! [X0] :
( element(sK20(sK8(sK7(sK8(X0)))),X0)
| empty(X0) ),
inference(subsumption_resolution,[],[f1399,f417]) ).
fof(f1399,plain,
! [X0] :
( empty(sK8(X0))
| element(sK20(sK8(sK7(sK8(X0)))),X0)
| empty(X0) ),
inference(resolution,[],[f1314,f931]) ).
fof(f2626,plain,
! [X0] :
( empty(X0)
| in(sK20(sK8(sK7(sK7(X0)))),X0) ),
inference(duplicate_literal_removal,[],[f2625]) ).
fof(f2625,plain,
! [X0] :
( empty(X0)
| empty(X0)
| in(sK20(sK8(sK7(sK7(X0)))),X0) ),
inference(resolution,[],[f1413,f517]) ).
fof(f2630,plain,
! [X0,X1] :
( ~ is_eventually_in(X0,X1,sK20(sK8(sK7(sK7(powerset(the_carrier(X0)))))))
| in(sK20(sK8(sK7(sK7(powerset(the_carrier(X0)))))),a_2_1_yellow19(X0,X1))
| ~ net_str(X1,X0)
| empty_carrier(X1)
| ~ one_sorted_str(X0)
| empty_carrier(X0) ),
inference(subsumption_resolution,[],[f2624,f354]) ).
fof(f2624,plain,
! [X0,X1] :
( empty(powerset(the_carrier(X0)))
| ~ is_eventually_in(X0,X1,sK20(sK8(sK7(sK7(powerset(the_carrier(X0)))))))
| in(sK20(sK8(sK7(sK7(powerset(the_carrier(X0)))))),a_2_1_yellow19(X0,X1))
| ~ net_str(X1,X0)
| empty_carrier(X1)
| ~ one_sorted_str(X0)
| empty_carrier(X0) ),
inference(resolution,[],[f1413,f621]) ).
fof(f2629,plain,
! [X0] :
( finite(sK20(sK8(sK7(sK7(powerset(X0))))))
| ~ finite(X0) ),
inference(subsumption_resolution,[],[f2623,f354]) ).
fof(f2623,plain,
! [X0] :
( empty(powerset(X0))
| finite(sK20(sK8(sK7(sK7(powerset(X0))))))
| ~ finite(X0) ),
inference(resolution,[],[f1413,f428]) ).
fof(f2628,plain,
! [X0,X1] :
( ~ empty(X0)
| ~ in(X1,sK20(sK8(sK7(sK7(powerset(X0)))))) ),
inference(subsumption_resolution,[],[f2622,f354]) ).
fof(f2622,plain,
! [X0,X1] :
( empty(powerset(X0))
| ~ empty(X0)
| ~ in(X1,sK20(sK8(sK7(sK7(powerset(X0)))))) ),
inference(resolution,[],[f1413,f540]) ).
fof(f2627,plain,
! [X0,X1] :
( element(X1,X0)
| ~ in(X1,sK20(sK8(sK7(sK7(powerset(X0)))))) ),
inference(subsumption_resolution,[],[f2621,f354]) ).
fof(f2621,plain,
! [X0,X1] :
( empty(powerset(X0))
| element(X1,X0)
| ~ in(X1,sK20(sK8(sK7(sK7(powerset(X0)))))) ),
inference(resolution,[],[f1413,f537]) ).
fof(f1413,plain,
! [X0] :
( element(sK20(sK8(sK7(sK7(X0)))),X0)
| empty(X0) ),
inference(subsumption_resolution,[],[f1398,f415]) ).
fof(f1398,plain,
! [X0] :
( empty(sK7(X0))
| element(sK20(sK8(sK7(sK7(X0)))),X0)
| empty(X0) ),
inference(resolution,[],[f1314,f930]) ).
fof(f2620,plain,
! [X0,X1] :
( ~ in(X0,cast_as_carrier_subset(X1))
| ~ one_sorted_str(X1)
| in(X0,the_carrier(X1)) ),
inference(subsumption_resolution,[],[f2619,f809]) ).
fof(f2619,plain,
! [X0,X1] :
( ~ in(X0,cast_as_carrier_subset(X1))
| ~ one_sorted_str(X1)
| empty(the_carrier(X1))
| in(X0,the_carrier(X1)) ),
inference(resolution,[],[f927,f517]) ).
fof(f927,plain,
! [X0,X1] :
( element(X0,the_carrier(X1))
| ~ in(X0,cast_as_carrier_subset(X1))
| ~ one_sorted_str(X1) ),
inference(resolution,[],[f537,f422]) ).
fof(f2614,plain,
! [X0] :
( empty(X0)
| in(sK20(sK7(sK8(sK8(X0)))),X0) ),
inference(duplicate_literal_removal,[],[f2613]) ).
fof(f2613,plain,
! [X0] :
( empty(X0)
| empty(X0)
| in(sK20(sK7(sK8(sK8(X0)))),X0) ),
inference(resolution,[],[f1389,f517]) ).
fof(f2618,plain,
! [X0,X1] :
( ~ is_eventually_in(X0,X1,sK20(sK7(sK8(sK8(powerset(the_carrier(X0)))))))
| in(sK20(sK7(sK8(sK8(powerset(the_carrier(X0)))))),a_2_1_yellow19(X0,X1))
| ~ net_str(X1,X0)
| empty_carrier(X1)
| ~ one_sorted_str(X0)
| empty_carrier(X0) ),
inference(subsumption_resolution,[],[f2612,f354]) ).
fof(f2612,plain,
! [X0,X1] :
( empty(powerset(the_carrier(X0)))
| ~ is_eventually_in(X0,X1,sK20(sK7(sK8(sK8(powerset(the_carrier(X0)))))))
| in(sK20(sK7(sK8(sK8(powerset(the_carrier(X0)))))),a_2_1_yellow19(X0,X1))
| ~ net_str(X1,X0)
| empty_carrier(X1)
| ~ one_sorted_str(X0)
| empty_carrier(X0) ),
inference(resolution,[],[f1389,f621]) ).
fof(f2617,plain,
! [X0] :
( finite(sK20(sK7(sK8(sK8(powerset(X0))))))
| ~ finite(X0) ),
inference(subsumption_resolution,[],[f2611,f354]) ).
fof(f2611,plain,
! [X0] :
( empty(powerset(X0))
| finite(sK20(sK7(sK8(sK8(powerset(X0))))))
| ~ finite(X0) ),
inference(resolution,[],[f1389,f428]) ).
fof(f2616,plain,
! [X0,X1] :
( ~ empty(X0)
| ~ in(X1,sK20(sK7(sK8(sK8(powerset(X0)))))) ),
inference(subsumption_resolution,[],[f2610,f354]) ).
fof(f2610,plain,
! [X0,X1] :
( empty(powerset(X0))
| ~ empty(X0)
| ~ in(X1,sK20(sK7(sK8(sK8(powerset(X0)))))) ),
inference(resolution,[],[f1389,f540]) ).
fof(f2615,plain,
! [X0,X1] :
( element(X1,X0)
| ~ in(X1,sK20(sK7(sK8(sK8(powerset(X0)))))) ),
inference(subsumption_resolution,[],[f2609,f354]) ).
fof(f2609,plain,
! [X0,X1] :
( empty(powerset(X0))
| element(X1,X0)
| ~ in(X1,sK20(sK7(sK8(sK8(powerset(X0)))))) ),
inference(resolution,[],[f1389,f537]) ).
fof(f1389,plain,
! [X0] :
( element(sK20(sK7(sK8(sK8(X0)))),X0)
| empty(X0) ),
inference(subsumption_resolution,[],[f1374,f417]) ).
fof(f1374,plain,
! [X0] :
( empty(sK8(X0))
| element(sK20(sK7(sK8(sK8(X0)))),X0)
| empty(X0) ),
inference(resolution,[],[f1306,f931]) ).
fof(f2604,plain,
! [X0] :
( empty(X0)
| in(sK20(sK7(sK8(sK7(X0)))),X0) ),
inference(duplicate_literal_removal,[],[f2603]) ).
fof(f2603,plain,
! [X0] :
( empty(X0)
| empty(X0)
| in(sK20(sK7(sK8(sK7(X0)))),X0) ),
inference(resolution,[],[f1388,f517]) ).
fof(f2608,plain,
! [X0,X1] :
( ~ is_eventually_in(X0,X1,sK20(sK7(sK8(sK7(powerset(the_carrier(X0)))))))
| in(sK20(sK7(sK8(sK7(powerset(the_carrier(X0)))))),a_2_1_yellow19(X0,X1))
| ~ net_str(X1,X0)
| empty_carrier(X1)
| ~ one_sorted_str(X0)
| empty_carrier(X0) ),
inference(subsumption_resolution,[],[f2602,f354]) ).
fof(f2602,plain,
! [X0,X1] :
( empty(powerset(the_carrier(X0)))
| ~ is_eventually_in(X0,X1,sK20(sK7(sK8(sK7(powerset(the_carrier(X0)))))))
| in(sK20(sK7(sK8(sK7(powerset(the_carrier(X0)))))),a_2_1_yellow19(X0,X1))
| ~ net_str(X1,X0)
| empty_carrier(X1)
| ~ one_sorted_str(X0)
| empty_carrier(X0) ),
inference(resolution,[],[f1388,f621]) ).
fof(f2607,plain,
! [X0] :
( finite(sK20(sK7(sK8(sK7(powerset(X0))))))
| ~ finite(X0) ),
inference(subsumption_resolution,[],[f2601,f354]) ).
fof(f2601,plain,
! [X0] :
( empty(powerset(X0))
| finite(sK20(sK7(sK8(sK7(powerset(X0))))))
| ~ finite(X0) ),
inference(resolution,[],[f1388,f428]) ).
fof(f2606,plain,
! [X0,X1] :
( ~ empty(X0)
| ~ in(X1,sK20(sK7(sK8(sK7(powerset(X0)))))) ),
inference(subsumption_resolution,[],[f2600,f354]) ).
fof(f2600,plain,
! [X0,X1] :
( empty(powerset(X0))
| ~ empty(X0)
| ~ in(X1,sK20(sK7(sK8(sK7(powerset(X0)))))) ),
inference(resolution,[],[f1388,f540]) ).
fof(f2605,plain,
! [X0,X1] :
( element(X1,X0)
| ~ in(X1,sK20(sK7(sK8(sK7(powerset(X0)))))) ),
inference(subsumption_resolution,[],[f2599,f354]) ).
fof(f2599,plain,
! [X0,X1] :
( empty(powerset(X0))
| element(X1,X0)
| ~ in(X1,sK20(sK7(sK8(sK7(powerset(X0)))))) ),
inference(resolution,[],[f1388,f537]) ).
fof(f1388,plain,
! [X0] :
( element(sK20(sK7(sK8(sK7(X0)))),X0)
| empty(X0) ),
inference(subsumption_resolution,[],[f1373,f415]) ).
fof(f1373,plain,
! [X0] :
( empty(sK7(X0))
| element(sK20(sK7(sK8(sK7(X0)))),X0)
| empty(X0) ),
inference(resolution,[],[f1306,f930]) ).
fof(f2597,plain,
! [X0,X1] :
( element(sK23(X0,sK20(sK9(sK22(X1)))),X1)
| in(sK23(X0,sK20(sK9(sK22(X1)))),X0)
| sK20(sK9(sK22(X1))) = X0 ),
inference(resolution,[],[f2478,f525]) ).
fof(f2594,plain,
! [X0,X1] :
( element(sK23(sK20(sK9(sK22(X0))),X1),X0)
| in(sK23(sK20(sK9(sK22(X0))),X1),X1)
| sK20(sK9(sK22(X0))) = X1 ),
inference(resolution,[],[f2478,f525]) ).
fof(f2593,plain,
! [X0] :
( element(sK20(sK9(sK9(sK20(sK9(sK22(X0)))))),X0)
| empty(sK20(sK9(sK22(X0)))) ),
inference(resolution,[],[f2478,f1631]) ).
fof(f2592,plain,
! [X0] :
( element(sK20(sK9(sK8(sK20(sK9(sK22(X0)))))),X0)
| empty(sK20(sK9(sK22(X0)))) ),
inference(resolution,[],[f2478,f1623]) ).
fof(f2591,plain,
! [X0] :
( element(sK20(sK9(sK7(sK20(sK9(sK22(X0)))))),X0)
| empty(sK20(sK9(sK22(X0)))) ),
inference(resolution,[],[f2478,f1615]) ).
fof(f2590,plain,
! [X0] :
( element(sK20(sK9(sK20(sK9(sK22(X0))))),X0)
| empty(sK20(sK9(sK22(X0)))) ),
inference(resolution,[],[f2478,f1525]) ).
fof(f2589,plain,
! [X0] :
( element(sK20(sK8(sK9(sK20(sK9(sK22(X0)))))),X0)
| empty(sK20(sK9(sK22(X0)))) ),
inference(resolution,[],[f2478,f1607]) ).
fof(f2588,plain,
! [X0] :
( element(sK20(sK8(sK8(sK20(sK9(sK22(X0)))))),X0)
| empty(sK20(sK9(sK22(X0)))) ),
inference(resolution,[],[f2478,f1322]) ).
fof(f2587,plain,
! [X0] :
( element(sK20(sK8(sK7(sK20(sK9(sK22(X0)))))),X0)
| empty(sK20(sK9(sK22(X0)))) ),
inference(resolution,[],[f2478,f1314]) ).
fof(f2586,plain,
! [X0] :
( element(sK20(sK8(sK20(sK9(sK22(X0))))),X0)
| empty(sK20(sK9(sK22(X0)))) ),
inference(resolution,[],[f2478,f1176]) ).
fof(f2585,plain,
! [X0] :
( element(sK20(sK7(sK9(sK20(sK9(sK22(X0)))))),X0)
| empty(sK20(sK9(sK22(X0)))) ),
inference(resolution,[],[f2478,f1599]) ).
fof(f2584,plain,
! [X0] :
( element(sK20(sK7(sK8(sK20(sK9(sK22(X0)))))),X0)
| empty(sK20(sK9(sK22(X0)))) ),
inference(resolution,[],[f2478,f1306]) ).
fof(f2583,plain,
! [X0] :
( element(sK20(sK7(sK7(sK20(sK9(sK22(X0)))))),X0)
| empty(sK20(sK9(sK22(X0)))) ),
inference(resolution,[],[f2478,f1075]) ).
fof(f2582,plain,
! [X0] :
( element(sK20(sK7(sK20(sK9(sK22(X0))))),X0)
| empty(sK20(sK9(sK22(X0)))) ),
inference(resolution,[],[f2478,f1036]) ).
fof(f2581,plain,
! [X0] :
( element(sK20(sK20(sK9(sK22(X0)))),X0)
| empty(sK20(sK9(sK22(X0)))) ),
inference(resolution,[],[f2478,f747]) ).
fof(f2478,plain,
! [X0,X1] :
( ~ in(X0,sK20(sK9(sK22(X1))))
| element(X0,X1) ),
inference(resolution,[],[f926,f1554]) ).
fof(f2579,plain,
! [X0,X1] :
( element(sK23(X0,sK20(sK8(sK22(X1)))),X1)
| in(sK23(X0,sK20(sK8(sK22(X1)))),X0)
| sK20(sK8(sK22(X1))) = X0 ),
inference(resolution,[],[f2474,f525]) ).
fof(f2576,plain,
! [X0,X1] :
( element(sK23(sK20(sK8(sK22(X0))),X1),X0)
| in(sK23(sK20(sK8(sK22(X0))),X1),X1)
| sK20(sK8(sK22(X0))) = X1 ),
inference(resolution,[],[f2474,f525]) ).
fof(f2575,plain,
! [X0] :
( element(sK20(sK9(sK9(sK20(sK8(sK22(X0)))))),X0)
| empty(sK20(sK8(sK22(X0)))) ),
inference(resolution,[],[f2474,f1631]) ).
fof(f2574,plain,
! [X0] :
( element(sK20(sK9(sK8(sK20(sK8(sK22(X0)))))),X0)
| empty(sK20(sK8(sK22(X0)))) ),
inference(resolution,[],[f2474,f1623]) ).
fof(f2573,plain,
! [X0] :
( element(sK20(sK9(sK7(sK20(sK8(sK22(X0)))))),X0)
| empty(sK20(sK8(sK22(X0)))) ),
inference(resolution,[],[f2474,f1615]) ).
fof(f2572,plain,
! [X0] :
( element(sK20(sK9(sK20(sK8(sK22(X0))))),X0)
| empty(sK20(sK8(sK22(X0)))) ),
inference(resolution,[],[f2474,f1525]) ).
fof(f2571,plain,
! [X0] :
( element(sK20(sK8(sK9(sK20(sK8(sK22(X0)))))),X0)
| empty(sK20(sK8(sK22(X0)))) ),
inference(resolution,[],[f2474,f1607]) ).
fof(f2570,plain,
! [X0] :
( element(sK20(sK8(sK8(sK20(sK8(sK22(X0)))))),X0)
| empty(sK20(sK8(sK22(X0)))) ),
inference(resolution,[],[f2474,f1322]) ).
fof(f2569,plain,
! [X0] :
( element(sK20(sK8(sK7(sK20(sK8(sK22(X0)))))),X0)
| empty(sK20(sK8(sK22(X0)))) ),
inference(resolution,[],[f2474,f1314]) ).
fof(f2568,plain,
! [X0] :
( element(sK20(sK8(sK20(sK8(sK22(X0))))),X0)
| empty(sK20(sK8(sK22(X0)))) ),
inference(resolution,[],[f2474,f1176]) ).
fof(f2567,plain,
! [X0] :
( element(sK20(sK7(sK9(sK20(sK8(sK22(X0)))))),X0)
| empty(sK20(sK8(sK22(X0)))) ),
inference(resolution,[],[f2474,f1599]) ).
fof(f2566,plain,
! [X0] :
( element(sK20(sK7(sK8(sK20(sK8(sK22(X0)))))),X0)
| empty(sK20(sK8(sK22(X0)))) ),
inference(resolution,[],[f2474,f1306]) ).
fof(f2565,plain,
! [X0] :
( element(sK20(sK7(sK7(sK20(sK8(sK22(X0)))))),X0)
| empty(sK20(sK8(sK22(X0)))) ),
inference(resolution,[],[f2474,f1075]) ).
fof(f2564,plain,
! [X0] :
( element(sK20(sK7(sK20(sK8(sK22(X0))))),X0)
| empty(sK20(sK8(sK22(X0)))) ),
inference(resolution,[],[f2474,f1036]) ).
fof(f2563,plain,
! [X0] :
( element(sK20(sK20(sK8(sK22(X0)))),X0)
| empty(sK20(sK8(sK22(X0)))) ),
inference(resolution,[],[f2474,f747]) ).
fof(f2474,plain,
! [X0,X1] :
( ~ in(X0,sK20(sK8(sK22(X1))))
| element(X0,X1) ),
inference(resolution,[],[f926,f1201]) ).
fof(f2561,plain,
! [X0,X1] :
( element(sK23(X0,sK20(sK7(sK22(X1)))),X1)
| in(sK23(X0,sK20(sK7(sK22(X1)))),X0)
| sK20(sK7(sK22(X1))) = X0 ),
inference(resolution,[],[f2470,f525]) ).
fof(f2558,plain,
! [X0,X1] :
( element(sK23(sK20(sK7(sK22(X0))),X1),X0)
| in(sK23(sK20(sK7(sK22(X0))),X1),X1)
| sK20(sK7(sK22(X0))) = X1 ),
inference(resolution,[],[f2470,f525]) ).
fof(f2557,plain,
! [X0] :
( element(sK20(sK9(sK9(sK20(sK7(sK22(X0)))))),X0)
| empty(sK20(sK7(sK22(X0)))) ),
inference(resolution,[],[f2470,f1631]) ).
fof(f2556,plain,
! [X0] :
( element(sK20(sK9(sK8(sK20(sK7(sK22(X0)))))),X0)
| empty(sK20(sK7(sK22(X0)))) ),
inference(resolution,[],[f2470,f1623]) ).
fof(f2555,plain,
! [X0] :
( element(sK20(sK9(sK7(sK20(sK7(sK22(X0)))))),X0)
| empty(sK20(sK7(sK22(X0)))) ),
inference(resolution,[],[f2470,f1615]) ).
fof(f2554,plain,
! [X0] :
( element(sK20(sK9(sK20(sK7(sK22(X0))))),X0)
| empty(sK20(sK7(sK22(X0)))) ),
inference(resolution,[],[f2470,f1525]) ).
fof(f2553,plain,
! [X0] :
( element(sK20(sK8(sK9(sK20(sK7(sK22(X0)))))),X0)
| empty(sK20(sK7(sK22(X0)))) ),
inference(resolution,[],[f2470,f1607]) ).
fof(f2552,plain,
! [X0] :
( element(sK20(sK8(sK8(sK20(sK7(sK22(X0)))))),X0)
| empty(sK20(sK7(sK22(X0)))) ),
inference(resolution,[],[f2470,f1322]) ).
fof(f2551,plain,
! [X0] :
( element(sK20(sK8(sK7(sK20(sK7(sK22(X0)))))),X0)
| empty(sK20(sK7(sK22(X0)))) ),
inference(resolution,[],[f2470,f1314]) ).
fof(f2550,plain,
! [X0] :
( element(sK20(sK8(sK20(sK7(sK22(X0))))),X0)
| empty(sK20(sK7(sK22(X0)))) ),
inference(resolution,[],[f2470,f1176]) ).
fof(f2549,plain,
! [X0] :
( element(sK20(sK7(sK9(sK20(sK7(sK22(X0)))))),X0)
| empty(sK20(sK7(sK22(X0)))) ),
inference(resolution,[],[f2470,f1599]) ).
fof(f2548,plain,
! [X0] :
( element(sK20(sK7(sK8(sK20(sK7(sK22(X0)))))),X0)
| empty(sK20(sK7(sK22(X0)))) ),
inference(resolution,[],[f2470,f1306]) ).
fof(f2547,plain,
! [X0] :
( element(sK20(sK7(sK7(sK20(sK7(sK22(X0)))))),X0)
| empty(sK20(sK7(sK22(X0)))) ),
inference(resolution,[],[f2470,f1075]) ).
fof(f2546,plain,
! [X0] :
( element(sK20(sK7(sK20(sK7(sK22(X0))))),X0)
| empty(sK20(sK7(sK22(X0)))) ),
inference(resolution,[],[f2470,f1036]) ).
fof(f2545,plain,
! [X0] :
( element(sK20(sK20(sK7(sK22(X0)))),X0)
| empty(sK20(sK7(sK22(X0)))) ),
inference(resolution,[],[f2470,f747]) ).
fof(f2470,plain,
! [X0,X1] :
( ~ in(X0,sK20(sK7(sK22(X1))))
| element(X0,X1) ),
inference(resolution,[],[f926,f1057]) ).
fof(f2543,plain,
! [X0,X1] :
( element(sK23(X0,sK20(sK22(X1))),X1)
| in(sK23(X0,sK20(sK22(X1))),X0)
| sK20(sK22(X1)) = X0 ),
inference(resolution,[],[f2479,f525]) ).
fof(f2540,plain,
! [X0,X1] :
( element(sK23(sK20(sK22(X0)),X1),X0)
| in(sK23(sK20(sK22(X0)),X1),X1)
| sK20(sK22(X0)) = X1 ),
inference(resolution,[],[f2479,f525]) ).
fof(f2539,plain,
! [X0] :
( element(sK20(sK9(sK9(sK20(sK22(X0))))),X0)
| empty(sK20(sK22(X0))) ),
inference(resolution,[],[f2479,f1631]) ).
fof(f2538,plain,
! [X0] :
( element(sK20(sK9(sK8(sK20(sK22(X0))))),X0)
| empty(sK20(sK22(X0))) ),
inference(resolution,[],[f2479,f1623]) ).
fof(f2537,plain,
! [X0] :
( element(sK20(sK9(sK7(sK20(sK22(X0))))),X0)
| empty(sK20(sK22(X0))) ),
inference(resolution,[],[f2479,f1615]) ).
fof(f2536,plain,
! [X0] :
( element(sK20(sK9(sK20(sK22(X0)))),X0)
| empty(sK20(sK22(X0))) ),
inference(resolution,[],[f2479,f1525]) ).
fof(f2535,plain,
! [X0] :
( element(sK20(sK8(sK9(sK20(sK22(X0))))),X0)
| empty(sK20(sK22(X0))) ),
inference(resolution,[],[f2479,f1607]) ).
fof(f2534,plain,
! [X0] :
( element(sK20(sK8(sK8(sK20(sK22(X0))))),X0)
| empty(sK20(sK22(X0))) ),
inference(resolution,[],[f2479,f1322]) ).
fof(f2533,plain,
! [X0] :
( element(sK20(sK8(sK7(sK20(sK22(X0))))),X0)
| empty(sK20(sK22(X0))) ),
inference(resolution,[],[f2479,f1314]) ).
fof(f2532,plain,
! [X0] :
( element(sK20(sK8(sK20(sK22(X0)))),X0)
| empty(sK20(sK22(X0))) ),
inference(resolution,[],[f2479,f1176]) ).
fof(f2531,plain,
! [X0] :
( element(sK20(sK7(sK9(sK20(sK22(X0))))),X0)
| empty(sK20(sK22(X0))) ),
inference(resolution,[],[f2479,f1599]) ).
fof(f2530,plain,
! [X0] :
( element(sK20(sK7(sK8(sK20(sK22(X0))))),X0)
| empty(sK20(sK22(X0))) ),
inference(resolution,[],[f2479,f1306]) ).
fof(f2529,plain,
! [X0] :
( element(sK20(sK7(sK7(sK20(sK22(X0))))),X0)
| empty(sK20(sK22(X0))) ),
inference(resolution,[],[f2479,f1075]) ).
fof(f2528,plain,
! [X0] :
( element(sK20(sK7(sK20(sK22(X0)))),X0)
| empty(sK20(sK22(X0))) ),
inference(resolution,[],[f2479,f1036]) ).
fof(f2527,plain,
! [X0] :
( element(sK20(sK20(sK22(X0))),X0)
| empty(sK20(sK22(X0))) ),
inference(resolution,[],[f2479,f747]) ).
fof(f2479,plain,
! [X0,X1] :
( ~ in(X0,sK20(sK22(X1)))
| element(X0,X1) ),
inference(resolution,[],[f926,f961]) ).
fof(f2497,plain,
! [X2,X0,X1] :
( ~ in(X0,sK23(X1,powerset(X2)))
| element(X0,X2)
| in(sK23(X1,powerset(X2)),X1)
| powerset(X2) = X1 ),
inference(resolution,[],[f926,f525]) ).
fof(f2494,plain,
! [X2,X0,X1] :
( ~ in(X0,sK23(powerset(X1),X2))
| element(X0,X1)
| in(sK23(powerset(X1),X2),X2)
| powerset(X1) = X2 ),
inference(resolution,[],[f926,f525]) ).
fof(f2506,plain,
! [X0,X1] :
( ~ in(X0,sK20(sK9(sK9(powerset(X1)))))
| element(X0,X1) ),
inference(subsumption_resolution,[],[f2493,f354]) ).
fof(f2493,plain,
! [X0,X1] :
( ~ in(X0,sK20(sK9(sK9(powerset(X1)))))
| element(X0,X1)
| empty(powerset(X1)) ),
inference(resolution,[],[f926,f1631]) ).
fof(f2505,plain,
! [X0,X1] :
( ~ in(X0,sK20(sK9(sK8(powerset(X1)))))
| element(X0,X1) ),
inference(subsumption_resolution,[],[f2492,f354]) ).
fof(f2492,plain,
! [X0,X1] :
( ~ in(X0,sK20(sK9(sK8(powerset(X1)))))
| element(X0,X1)
| empty(powerset(X1)) ),
inference(resolution,[],[f926,f1623]) ).
fof(f2504,plain,
! [X0,X1] :
( ~ in(X0,sK20(sK9(sK7(powerset(X1)))))
| element(X0,X1) ),
inference(subsumption_resolution,[],[f2491,f354]) ).
fof(f2491,plain,
! [X0,X1] :
( ~ in(X0,sK20(sK9(sK7(powerset(X1)))))
| element(X0,X1)
| empty(powerset(X1)) ),
inference(resolution,[],[f926,f1615]) ).
fof(f2503,plain,
! [X0,X1] :
( ~ in(X0,sK20(sK8(sK9(powerset(X1)))))
| element(X0,X1) ),
inference(subsumption_resolution,[],[f2489,f354]) ).
fof(f2489,plain,
! [X0,X1] :
( ~ in(X0,sK20(sK8(sK9(powerset(X1)))))
| element(X0,X1)
| empty(powerset(X1)) ),
inference(resolution,[],[f926,f1607]) ).
fof(f2502,plain,
! [X0,X1] :
( ~ in(X0,sK20(sK8(sK8(powerset(X1)))))
| element(X0,X1) ),
inference(subsumption_resolution,[],[f2488,f354]) ).
fof(f2488,plain,
! [X0,X1] :
( ~ in(X0,sK20(sK8(sK8(powerset(X1)))))
| element(X0,X1)
| empty(powerset(X1)) ),
inference(resolution,[],[f926,f1322]) ).
fof(f2501,plain,
! [X0,X1] :
( ~ in(X0,sK20(sK8(sK7(powerset(X1)))))
| element(X0,X1) ),
inference(subsumption_resolution,[],[f2487,f354]) ).
fof(f2487,plain,
! [X0,X1] :
( ~ in(X0,sK20(sK8(sK7(powerset(X1)))))
| element(X0,X1)
| empty(powerset(X1)) ),
inference(resolution,[],[f926,f1314]) ).
fof(f2500,plain,
! [X0,X1] :
( ~ in(X0,sK20(sK7(sK9(powerset(X1)))))
| element(X0,X1) ),
inference(subsumption_resolution,[],[f2485,f354]) ).
fof(f2485,plain,
! [X0,X1] :
( ~ in(X0,sK20(sK7(sK9(powerset(X1)))))
| element(X0,X1)
| empty(powerset(X1)) ),
inference(resolution,[],[f926,f1599]) ).
fof(f2499,plain,
! [X0,X1] :
( ~ in(X0,sK20(sK7(sK8(powerset(X1)))))
| element(X0,X1) ),
inference(subsumption_resolution,[],[f2484,f354]) ).
fof(f2484,plain,
! [X0,X1] :
( ~ in(X0,sK20(sK7(sK8(powerset(X1)))))
| element(X0,X1)
| empty(powerset(X1)) ),
inference(resolution,[],[f926,f1306]) ).
fof(f2498,plain,
! [X0,X1] :
( ~ in(X0,sK20(sK7(sK7(powerset(X1)))))
| element(X0,X1) ),
inference(subsumption_resolution,[],[f2483,f354]) ).
fof(f2483,plain,
! [X0,X1] :
( ~ in(X0,sK20(sK7(sK7(powerset(X1)))))
| element(X0,X1)
| empty(powerset(X1)) ),
inference(resolution,[],[f926,f1075]) ).
fof(f2477,plain,
! [X0,X1] :
( ~ in(X0,sK20(sK9(sK9(sK22(X1)))))
| element(X0,X1) ),
inference(resolution,[],[f926,f1833]) ).
fof(f2476,plain,
! [X0,X1] :
( ~ in(X0,sK20(sK9(sK8(sK22(X1)))))
| element(X0,X1) ),
inference(resolution,[],[f926,f1804]) ).
fof(f2475,plain,
! [X0,X1] :
( ~ in(X0,sK20(sK9(sK7(sK22(X1)))))
| element(X0,X1) ),
inference(resolution,[],[f926,f1775]) ).
fof(f2473,plain,
! [X0,X1] :
( ~ in(X0,sK20(sK8(sK9(sK22(X1)))))
| element(X0,X1) ),
inference(resolution,[],[f926,f1746]) ).
fof(f2472,plain,
! [X0,X1] :
( ~ in(X0,sK20(sK8(sK8(sK22(X1)))))
| element(X0,X1) ),
inference(resolution,[],[f926,f1440]) ).
fof(f2471,plain,
! [X0,X1] :
( ~ in(X0,sK20(sK8(sK7(sK22(X1)))))
| element(X0,X1) ),
inference(resolution,[],[f926,f1415]) ).
fof(f2469,plain,
! [X0,X1] :
( ~ in(X0,sK20(sK7(sK9(sK22(X1)))))
| element(X0,X1) ),
inference(resolution,[],[f926,f1717]) ).
fof(f2468,plain,
! [X0,X1] :
( ~ in(X0,sK20(sK7(sK8(sK22(X1)))))
| element(X0,X1) ),
inference(resolution,[],[f926,f1390]) ).
fof(f2467,plain,
! [X0,X1] :
( ~ in(X0,sK20(sK7(sK7(sK22(X1)))))
| element(X0,X1) ),
inference(resolution,[],[f926,f1130]) ).
fof(f2466,plain,
! [X0,X1] :
( ~ in(X0,sK15(X1))
| element(X0,the_carrier(X1))
| empty_carrier(X1)
| ~ rel_str(X1) ),
inference(resolution,[],[f926,f919]) ).
fof(f2465,plain,
! [X0,X1] :
( ~ in(X0,sK14(X1))
| element(X0,the_carrier(X1))
| empty_carrier(X1)
| ~ one_sorted_str(X1) ),
inference(resolution,[],[f926,f915]) ).
fof(f2464,plain,
! [X0,X1] :
( ~ in(X0,sK13(X1))
| element(X0,the_carrier(X1))
| ~ rel_str(X1) ),
inference(resolution,[],[f926,f758]) ).
fof(f2463,plain,
! [X0,X1] :
( ~ in(X0,sK12(X1))
| element(X0,the_carrier(X1))
| ~ rel_str(X1) ),
inference(resolution,[],[f926,f757]) ).
fof(f2462,plain,
! [X0,X1] :
( ~ in(X0,sK11(X1))
| element(X0,powerset(the_carrier(X1)))
| ~ one_sorted_str(X1) ),
inference(resolution,[],[f926,f804]) ).
fof(f2456,plain,
! [X0,X1] :
( ~ in(X0,cast_as_carrier_subset(X1))
| element(X0,the_carrier(X1))
| ~ one_sorted_str(X1) ),
inference(resolution,[],[f926,f751]) ).
fof(f2455,plain,
! [X2,X3,X0,X1] :
( ~ in(X0,X1)
| element(X0,cartesian_product2(X2,X3))
| ~ relation_of2_as_subset(X1,X2,X3) ),
inference(resolution,[],[f926,f923]) ).
fof(f926,plain,
! [X2,X0,X1] :
( ~ in(X2,powerset(X1))
| ~ in(X0,X2)
| element(X0,X1) ),
inference(resolution,[],[f537,f516]) ).
fof(f2440,plain,
! [X0] :
( empty(X0)
| in(sK20(sK7(sK7(sK8(X0)))),X0) ),
inference(duplicate_literal_removal,[],[f2439]) ).
fof(f2439,plain,
! [X0] :
( empty(X0)
| empty(X0)
| in(sK20(sK7(sK7(sK8(X0)))),X0) ),
inference(resolution,[],[f1171,f517]) ).
fof(f2444,plain,
! [X0,X1] :
( ~ is_eventually_in(X0,X1,sK20(sK7(sK7(sK8(powerset(the_carrier(X0)))))))
| in(sK20(sK7(sK7(sK8(powerset(the_carrier(X0)))))),a_2_1_yellow19(X0,X1))
| ~ net_str(X1,X0)
| empty_carrier(X1)
| ~ one_sorted_str(X0)
| empty_carrier(X0) ),
inference(subsumption_resolution,[],[f2438,f354]) ).
fof(f2438,plain,
! [X0,X1] :
( empty(powerset(the_carrier(X0)))
| ~ is_eventually_in(X0,X1,sK20(sK7(sK7(sK8(powerset(the_carrier(X0)))))))
| in(sK20(sK7(sK7(sK8(powerset(the_carrier(X0)))))),a_2_1_yellow19(X0,X1))
| ~ net_str(X1,X0)
| empty_carrier(X1)
| ~ one_sorted_str(X0)
| empty_carrier(X0) ),
inference(resolution,[],[f1171,f621]) ).
fof(f2443,plain,
! [X0] :
( finite(sK20(sK7(sK7(sK8(powerset(X0))))))
| ~ finite(X0) ),
inference(subsumption_resolution,[],[f2437,f354]) ).
fof(f2437,plain,
! [X0] :
( empty(powerset(X0))
| finite(sK20(sK7(sK7(sK8(powerset(X0))))))
| ~ finite(X0) ),
inference(resolution,[],[f1171,f428]) ).
fof(f2442,plain,
! [X0,X1] :
( ~ empty(X0)
| ~ in(X1,sK20(sK7(sK7(sK8(powerset(X0)))))) ),
inference(subsumption_resolution,[],[f2436,f354]) ).
fof(f2436,plain,
! [X0,X1] :
( empty(powerset(X0))
| ~ empty(X0)
| ~ in(X1,sK20(sK7(sK7(sK8(powerset(X0)))))) ),
inference(resolution,[],[f1171,f540]) ).
fof(f2441,plain,
! [X0,X1] :
( element(X1,X0)
| ~ in(X1,sK20(sK7(sK7(sK8(powerset(X0)))))) ),
inference(subsumption_resolution,[],[f2435,f354]) ).
fof(f2435,plain,
! [X0,X1] :
( empty(powerset(X0))
| element(X1,X0)
| ~ in(X1,sK20(sK7(sK7(sK8(powerset(X0)))))) ),
inference(resolution,[],[f1171,f537]) ).
fof(f1171,plain,
! [X0] :
( element(sK20(sK7(sK7(sK8(X0)))),X0)
| empty(X0) ),
inference(subsumption_resolution,[],[f1168,f417]) ).
fof(f1168,plain,
! [X0] :
( element(sK20(sK7(sK7(sK8(X0)))),X0)
| empty(X0)
| empty(sK8(X0)) ),
inference(resolution,[],[f931,f1075]) ).
fof(f2430,plain,
! [X0] :
( empty(X0)
| in(sK20(sK7(sK7(sK7(X0)))),X0) ),
inference(duplicate_literal_removal,[],[f2429]) ).
fof(f2429,plain,
! [X0] :
( empty(X0)
| empty(X0)
| in(sK20(sK7(sK7(sK7(X0)))),X0) ),
inference(resolution,[],[f1129,f517]) ).
fof(f2434,plain,
! [X0,X1] :
( ~ is_eventually_in(X0,X1,sK20(sK7(sK7(sK7(powerset(the_carrier(X0)))))))
| in(sK20(sK7(sK7(sK7(powerset(the_carrier(X0)))))),a_2_1_yellow19(X0,X1))
| ~ net_str(X1,X0)
| empty_carrier(X1)
| ~ one_sorted_str(X0)
| empty_carrier(X0) ),
inference(subsumption_resolution,[],[f2428,f354]) ).
fof(f2428,plain,
! [X0,X1] :
( empty(powerset(the_carrier(X0)))
| ~ is_eventually_in(X0,X1,sK20(sK7(sK7(sK7(powerset(the_carrier(X0)))))))
| in(sK20(sK7(sK7(sK7(powerset(the_carrier(X0)))))),a_2_1_yellow19(X0,X1))
| ~ net_str(X1,X0)
| empty_carrier(X1)
| ~ one_sorted_str(X0)
| empty_carrier(X0) ),
inference(resolution,[],[f1129,f621]) ).
fof(f2433,plain,
! [X0] :
( finite(sK20(sK7(sK7(sK7(powerset(X0))))))
| ~ finite(X0) ),
inference(subsumption_resolution,[],[f2427,f354]) ).
fof(f2427,plain,
! [X0] :
( empty(powerset(X0))
| finite(sK20(sK7(sK7(sK7(powerset(X0))))))
| ~ finite(X0) ),
inference(resolution,[],[f1129,f428]) ).
fof(f2432,plain,
! [X0,X1] :
( ~ empty(X0)
| ~ in(X1,sK20(sK7(sK7(sK7(powerset(X0)))))) ),
inference(subsumption_resolution,[],[f2426,f354]) ).
fof(f2426,plain,
! [X0,X1] :
( empty(powerset(X0))
| ~ empty(X0)
| ~ in(X1,sK20(sK7(sK7(sK7(powerset(X0)))))) ),
inference(resolution,[],[f1129,f540]) ).
fof(f2431,plain,
! [X0,X1] :
( element(X1,X0)
| ~ in(X1,sK20(sK7(sK7(sK7(powerset(X0)))))) ),
inference(subsumption_resolution,[],[f2425,f354]) ).
fof(f2425,plain,
! [X0,X1] :
( empty(powerset(X0))
| element(X1,X0)
| ~ in(X1,sK20(sK7(sK7(sK7(powerset(X0)))))) ),
inference(resolution,[],[f1129,f537]) ).
fof(f1129,plain,
! [X0] :
( element(sK20(sK7(sK7(sK7(X0)))),X0)
| empty(X0) ),
inference(subsumption_resolution,[],[f1117,f415]) ).
fof(f1117,plain,
! [X0] :
( empty(sK7(X0))
| element(sK20(sK7(sK7(sK7(X0)))),X0)
| empty(X0) ),
inference(resolution,[],[f1075,f930]) ).
fof(f2420,plain,
! [X0,X1] :
( sK20(sK22(X0)) = sK20(sK22(X1))
| ~ empty(X0)
| ~ empty(X1) ),
inference(resolution,[],[f970,f966]) ).
fof(f2419,plain,
! [X0,X1] :
( sK20(sK22(X0)) = sK20(sK9(sK22(X1)))
| ~ empty(X0)
| ~ empty(X1) ),
inference(resolution,[],[f970,f1666]) ).
fof(f2418,plain,
! [X0,X1] :
( sK20(sK22(X0)) = sK20(sK9(sK9(powerset(X1))))
| ~ empty(X0)
| ~ empty(X1) ),
inference(resolution,[],[f970,f2336]) ).
fof(f2417,plain,
! [X0,X1] :
( sK20(sK22(X0)) = sK20(sK9(sK8(powerset(X1))))
| ~ empty(X0)
| ~ empty(X1) ),
inference(resolution,[],[f970,f2300]) ).
fof(f2416,plain,
! [X0,X1] :
( sK20(sK22(X0)) = sK20(sK9(sK7(powerset(X1))))
| ~ empty(X0)
| ~ empty(X1) ),
inference(resolution,[],[f970,f2271]) ).
fof(f2415,plain,
! [X0,X1] :
( sK20(sK22(X0)) = sK20(sK9(powerset(X1)))
| ~ empty(X0)
| ~ empty(X1) ),
inference(resolution,[],[f970,f1573]) ).
fof(f2414,plain,
! [X0,X1] :
( sK20(sK22(X0)) = sK20(sK8(sK22(X1)))
| ~ empty(X0)
| ~ empty(X1) ),
inference(resolution,[],[f970,f1349]) ).
fof(f2413,plain,
! [X0,X1] :
( sK20(sK22(X0)) = sK20(sK8(sK9(powerset(X1))))
| ~ empty(X0)
| ~ empty(X1) ),
inference(resolution,[],[f970,f2238]) ).
fof(f2412,plain,
! [X0,X1] :
( sK20(sK22(X0)) = sK20(sK8(sK8(powerset(X1))))
| ~ empty(X0)
| ~ empty(X1) ),
inference(resolution,[],[f970,f2178]) ).
fof(f2411,plain,
! [X0,X1] :
( sK20(sK22(X0)) = sK20(sK8(sK7(powerset(X1))))
| ~ empty(X0)
| ~ empty(X1) ),
inference(resolution,[],[f970,f2148]) ).
fof(f2410,plain,
! [X0,X1] :
( sK20(sK22(X0)) = sK20(sK8(powerset(X1)))
| ~ empty(X0)
| ~ empty(X1) ),
inference(resolution,[],[f970,f1276]) ).
fof(f2409,plain,
! [X0,X1] :
( sK20(sK22(X0)) = sK20(sK7(sK22(X1)))
| ~ empty(X0)
| ~ empty(X1) ),
inference(resolution,[],[f970,f1079]) ).
fof(f2408,plain,
! [X0,X1] :
( sK20(sK22(X0)) = sK20(sK7(sK9(powerset(X1))))
| ~ empty(X0)
| ~ empty(X1) ),
inference(resolution,[],[f970,f2208]) ).
fof(f2407,plain,
! [X0,X1] :
( sK20(sK22(X0)) = sK20(sK7(sK8(powerset(X1))))
| ~ empty(X0)
| ~ empty(X1) ),
inference(resolution,[],[f970,f2051]) ).
fof(f2406,plain,
! [X0,X1] :
( sK20(sK22(X0)) = sK20(sK7(sK7(powerset(X1))))
| ~ empty(X0)
| ~ empty(X1) ),
inference(resolution,[],[f970,f2017]) ).
fof(f2405,plain,
! [X0,X1] :
( sK20(sK22(X0)) = sK20(sK7(powerset(X1)))
| ~ empty(X0)
| ~ empty(X1) ),
inference(resolution,[],[f970,f1063]) ).
fof(f2404,plain,
! [X0,X1] :
( sK20(powerset(X1)) = sK20(sK22(X0))
| ~ empty(X0)
| ~ empty(X1) ),
inference(resolution,[],[f970,f839]) ).
fof(f2403,plain,
! [X0,X1] :
( sK13(X1) = sK20(sK22(X0))
| ~ empty(X0)
| ~ rel_str(X1)
| ~ empty(the_carrier(X1)) ),
inference(resolution,[],[f970,f887]) ).
fof(f2402,plain,
! [X0,X1] :
( sK12(X1) = sK20(sK22(X0))
| ~ empty(X0)
| ~ rel_str(X1)
| ~ empty(the_carrier(X1)) ),
inference(resolution,[],[f970,f883]) ).
fof(f2400,plain,
! [X0,X1] :
( cast_as_carrier_subset(X1) = sK20(sK22(X0))
| ~ empty(X0)
| ~ one_sorted_str(X1)
| ~ empty(the_carrier(X1)) ),
inference(resolution,[],[f970,f872]) ).
fof(f970,plain,
! [X0,X1] :
( ~ empty(X1)
| sK20(sK22(X0)) = X1
| ~ empty(X0) ),
inference(resolution,[],[f966,f528]) ).
fof(f2392,plain,
! [X0] :
( empty_set = sK20(powerset(sK20(sK22(sK20(sK22(X0))))))
| ~ empty(X0) ),
inference(resolution,[],[f969,f966]) ).
fof(f2391,plain,
! [X0] :
( empty_set = sK20(powerset(sK20(sK22(sK20(sK9(sK22(X0)))))))
| ~ empty(X0) ),
inference(resolution,[],[f969,f1666]) ).
fof(f2390,plain,
! [X0] :
( empty_set = sK20(powerset(sK20(sK22(sK20(sK9(sK9(powerset(X0))))))))
| ~ empty(X0) ),
inference(resolution,[],[f969,f2336]) ).
fof(f2389,plain,
! [X0] :
( empty_set = sK20(powerset(sK20(sK22(sK20(sK9(sK8(powerset(X0))))))))
| ~ empty(X0) ),
inference(resolution,[],[f969,f2300]) ).
fof(f2388,plain,
! [X0] :
( empty_set = sK20(powerset(sK20(sK22(sK20(sK9(sK7(powerset(X0))))))))
| ~ empty(X0) ),
inference(resolution,[],[f969,f2271]) ).
fof(f2387,plain,
! [X0] :
( empty_set = sK20(powerset(sK20(sK22(sK20(sK9(powerset(X0)))))))
| ~ empty(X0) ),
inference(resolution,[],[f969,f1573]) ).
fof(f2386,plain,
! [X0] :
( empty_set = sK20(powerset(sK20(sK22(sK20(sK8(sK22(X0)))))))
| ~ empty(X0) ),
inference(resolution,[],[f969,f1349]) ).
fof(f2385,plain,
! [X0] :
( empty_set = sK20(powerset(sK20(sK22(sK20(sK8(sK9(powerset(X0))))))))
| ~ empty(X0) ),
inference(resolution,[],[f969,f2238]) ).
fof(f2384,plain,
! [X0] :
( empty_set = sK20(powerset(sK20(sK22(sK20(sK8(sK8(powerset(X0))))))))
| ~ empty(X0) ),
inference(resolution,[],[f969,f2178]) ).
fof(f2383,plain,
! [X0] :
( empty_set = sK20(powerset(sK20(sK22(sK20(sK8(sK7(powerset(X0))))))))
| ~ empty(X0) ),
inference(resolution,[],[f969,f2148]) ).
fof(f2382,plain,
! [X0] :
( empty_set = sK20(powerset(sK20(sK22(sK20(sK8(powerset(X0)))))))
| ~ empty(X0) ),
inference(resolution,[],[f969,f1276]) ).
fof(f2381,plain,
! [X0] :
( empty_set = sK20(powerset(sK20(sK22(sK20(sK7(sK22(X0)))))))
| ~ empty(X0) ),
inference(resolution,[],[f969,f1079]) ).
fof(f2380,plain,
! [X0] :
( empty_set = sK20(powerset(sK20(sK22(sK20(sK7(sK9(powerset(X0))))))))
| ~ empty(X0) ),
inference(resolution,[],[f969,f2208]) ).
fof(f2379,plain,
! [X0] :
( empty_set = sK20(powerset(sK20(sK22(sK20(sK7(sK8(powerset(X0))))))))
| ~ empty(X0) ),
inference(resolution,[],[f969,f2051]) ).
fof(f2378,plain,
! [X0] :
( empty_set = sK20(powerset(sK20(sK22(sK20(sK7(sK7(powerset(X0))))))))
| ~ empty(X0) ),
inference(resolution,[],[f969,f2017]) ).
fof(f2377,plain,
! [X0] :
( empty_set = sK20(powerset(sK20(sK22(sK20(sK7(powerset(X0)))))))
| ~ empty(X0) ),
inference(resolution,[],[f969,f1063]) ).
fof(f2376,plain,
! [X0] :
( empty_set = sK20(powerset(sK20(sK22(sK20(powerset(X0))))))
| ~ empty(X0) ),
inference(resolution,[],[f969,f839]) ).
fof(f2375,plain,
! [X0] :
( empty_set = sK20(powerset(sK20(sK22(sK13(X0)))))
| ~ rel_str(X0)
| ~ empty(the_carrier(X0)) ),
inference(resolution,[],[f969,f887]) ).
fof(f2374,plain,
! [X0] :
( empty_set = sK20(powerset(sK20(sK22(sK12(X0)))))
| ~ rel_str(X0)
| ~ empty(the_carrier(X0)) ),
inference(resolution,[],[f969,f883]) ).
fof(f2372,plain,
! [X0] :
( empty_set = sK20(powerset(sK20(sK22(cast_as_carrier_subset(X0)))))
| ~ one_sorted_str(X0)
| ~ empty(the_carrier(X0)) ),
inference(resolution,[],[f969,f872]) ).
fof(f969,plain,
! [X0] :
( ~ empty(X0)
| empty_set = sK20(powerset(sK20(sK22(X0)))) ),
inference(resolution,[],[f966,f841]) ).
fof(f2371,plain,
! [X2,X0,X1] :
( ~ relation_of2_as_subset(sK23(X0,powerset(cartesian_product2(X1,X2))),X1,X2)
| powerset(cartesian_product2(X1,X2)) = X0
| ~ in(sK23(X0,powerset(cartesian_product2(X1,X2))),X0) ),
inference(resolution,[],[f923,f526]) ).
fof(f2370,plain,
! [X2,X0,X1] :
( ~ relation_of2_as_subset(powerset(X0),X1,X2)
| ~ subset(powerset(cartesian_product2(X1,X2)),X0) ),
inference(resolution,[],[f923,f771]) ).
fof(f2367,plain,
! [X2,X0,X1] :
( ~ relation_of2_as_subset(X0,X1,X2)
| ~ in(powerset(cartesian_product2(X1,X2)),X0) ),
inference(resolution,[],[f923,f515]) ).
fof(f2365,plain,
! [X2,X3,X0,X1] :
( ~ relation_of2_as_subset(X0,X1,X2)
| ~ in(X3,X0)
| ~ empty(cartesian_product2(X1,X2)) ),
inference(resolution,[],[f923,f808]) ).
fof(f923,plain,
! [X2,X0,X1] :
( in(X0,powerset(cartesian_product2(X1,X2)))
| ~ relation_of2_as_subset(X0,X1,X2) ),
inference(subsumption_resolution,[],[f922,f354]) ).
fof(f922,plain,
! [X2,X0,X1] :
( ~ relation_of2_as_subset(X0,X1,X2)
| empty(powerset(cartesian_product2(X1,X2)))
| in(X0,powerset(cartesian_product2(X1,X2))) ),
inference(resolution,[],[f532,f517]) ).
fof(f2360,plain,
! [X0] :
( ~ empty(X0)
| empty_set = sK20(sK7(sK22(sK20(sK9(sK9(powerset(X0))))))) ),
inference(resolution,[],[f2336,f1086]) ).
fof(f2359,plain,
! [X0] :
( ~ empty(X0)
| empty_set = sK20(sK7(powerset(sK20(sK9(sK9(powerset(X0))))))) ),
inference(resolution,[],[f2336,f1070]) ).
fof(f2358,plain,
! [X0] :
( ~ empty(X0)
| empty_set = sK20(sK22(sK20(sK9(sK9(powerset(X0)))))) ),
inference(resolution,[],[f2336,f971]) ).
fof(f2357,plain,
! [X0] :
( ~ empty(X0)
| empty_set = sK20(powerset(sK20(powerset(sK20(sK9(sK9(powerset(X0)))))))) ),
inference(resolution,[],[f2336,f843]) ).
fof(f2356,plain,
! [X0] :
( ~ empty(X0)
| empty_set = sK20(powerset(sK20(sK9(sK9(powerset(X0)))))) ),
inference(resolution,[],[f2336,f841]) ).
fof(f2355,plain,
! [X0,X1] :
( ~ empty(X0)
| sK20(powerset(X1)) = sK20(sK9(sK9(powerset(X0))))
| ~ empty(X1) ),
inference(resolution,[],[f2336,f840]) ).
fof(f2354,plain,
! [X0,X1] :
( ~ empty(X0)
| sK20(sK9(sK9(powerset(X0)))) = X1
| ~ empty(X1) ),
inference(resolution,[],[f2336,f528]) ).
fof(f2353,plain,
! [X0] :
( ~ empty(X0)
| empty_set = sK20(sK9(sK9(powerset(X0)))) ),
inference(resolution,[],[f2336,f430]) ).
fof(f2336,plain,
! [X0] :
( empty(sK20(sK9(sK9(powerset(X0)))))
| ~ empty(X0) ),
inference(resolution,[],[f1633,f747]) ).
fof(f2352,plain,
! [X0,X1] :
( ~ empty(X0)
| in(sK23(X1,sK20(sK9(sK9(powerset(X0))))),X1)
| sK20(sK9(sK9(powerset(X0)))) = X1 ),
inference(resolution,[],[f1633,f525]) ).
fof(f2349,plain,
! [X0,X1] :
( ~ empty(X0)
| in(sK23(sK20(sK9(sK9(powerset(X0)))),X1),X1)
| sK20(sK9(sK9(powerset(X0)))) = X1 ),
inference(resolution,[],[f1633,f525]) ).
fof(f2348,plain,
! [X0] :
( ~ empty(X0)
| empty(sK20(sK9(sK9(powerset(X0))))) ),
inference(resolution,[],[f1633,f1631]) ).
fof(f2347,plain,
! [X0] :
( ~ empty(X0)
| empty(sK20(sK9(sK9(powerset(X0))))) ),
inference(resolution,[],[f1633,f1623]) ).
fof(f2346,plain,
! [X0] :
( ~ empty(X0)
| empty(sK20(sK9(sK9(powerset(X0))))) ),
inference(resolution,[],[f1633,f1615]) ).
fof(f2345,plain,
! [X0] :
( ~ empty(X0)
| empty(sK20(sK9(sK9(powerset(X0))))) ),
inference(resolution,[],[f1633,f1525]) ).
fof(f2344,plain,
! [X0] :
( ~ empty(X0)
| empty(sK20(sK9(sK9(powerset(X0))))) ),
inference(resolution,[],[f1633,f1607]) ).
fof(f2343,plain,
! [X0] :
( ~ empty(X0)
| empty(sK20(sK9(sK9(powerset(X0))))) ),
inference(resolution,[],[f1633,f1322]) ).
fof(f2342,plain,
! [X0] :
( ~ empty(X0)
| empty(sK20(sK9(sK9(powerset(X0))))) ),
inference(resolution,[],[f1633,f1314]) ).
fof(f2341,plain,
! [X0] :
( ~ empty(X0)
| empty(sK20(sK9(sK9(powerset(X0))))) ),
inference(resolution,[],[f1633,f1176]) ).
fof(f2340,plain,
! [X0] :
( ~ empty(X0)
| empty(sK20(sK9(sK9(powerset(X0))))) ),
inference(resolution,[],[f1633,f1599]) ).
fof(f2339,plain,
! [X0] :
( ~ empty(X0)
| empty(sK20(sK9(sK9(powerset(X0))))) ),
inference(resolution,[],[f1633,f1306]) ).
fof(f2338,plain,
! [X0] :
( ~ empty(X0)
| empty(sK20(sK9(sK9(powerset(X0))))) ),
inference(resolution,[],[f1633,f1075]) ).
fof(f2337,plain,
! [X0] :
( ~ empty(X0)
| empty(sK20(sK9(sK9(powerset(X0))))) ),
inference(resolution,[],[f1633,f1036]) ).
fof(f1633,plain,
! [X0,X1] :
( ~ in(X1,sK20(sK9(sK9(powerset(X0)))))
| ~ empty(X0) ),
inference(subsumption_resolution,[],[f1628,f354]) ).
fof(f1628,plain,
! [X0,X1] :
( empty(powerset(X0))
| ~ empty(X0)
| ~ in(X1,sK20(sK9(sK9(powerset(X0))))) ),
inference(resolution,[],[f1553,f540]) ).
fof(f2333,plain,
! [X0,X1] :
( finite(sK25(X0,X1))
| ~ finite(cartesian_product2(X0,X1)) ),
inference(resolution,[],[f921,f531]) ).
fof(f2335,plain,
! [X0] :
( finite(the_InternalRel(X0))
| ~ finite(cartesian_product2(the_carrier(X0),the_carrier(X0)))
| ~ rel_str(X0) ),
inference(resolution,[],[f921,f432]) ).
fof(f2334,plain,
! [X2,X0,X1] :
( finite(X0)
| ~ finite(cartesian_product2(X1,X2))
| ~ relation_of2(X0,X1,X2) ),
inference(resolution,[],[f921,f539]) ).
fof(f921,plain,
! [X2,X0,X1] :
( ~ relation_of2_as_subset(X0,X1,X2)
| finite(X0)
| ~ finite(cartesian_product2(X1,X2)) ),
inference(resolution,[],[f532,f428]) ).
fof(f2331,plain,
! [X0] :
( empty_carrier(X0)
| ~ rel_str(X0)
| ~ in(powerset(the_carrier(X0)),sK15(X0)) ),
inference(resolution,[],[f919,f515]) ).
fof(f919,plain,
! [X0] :
( in(sK15(X0),powerset(the_carrier(X0)))
| empty_carrier(X0)
| ~ rel_str(X0) ),
inference(subsumption_resolution,[],[f918,f354]) ).
fof(f918,plain,
! [X0] :
( ~ rel_str(X0)
| empty_carrier(X0)
| empty(powerset(the_carrier(X0)))
| in(sK15(X0),powerset(the_carrier(X0))) ),
inference(resolution,[],[f495,f517]) ).
fof(f2324,plain,
! [X0] :
( ~ empty(X0)
| empty_set = sK20(sK7(sK22(sK20(sK9(sK8(powerset(X0))))))) ),
inference(resolution,[],[f2300,f1086]) ).
fof(f2323,plain,
! [X0] :
( ~ empty(X0)
| empty_set = sK20(sK7(powerset(sK20(sK9(sK8(powerset(X0))))))) ),
inference(resolution,[],[f2300,f1070]) ).
fof(f2322,plain,
! [X0] :
( ~ empty(X0)
| empty_set = sK20(sK22(sK20(sK9(sK8(powerset(X0)))))) ),
inference(resolution,[],[f2300,f971]) ).
fof(f2321,plain,
! [X0] :
( ~ empty(X0)
| empty_set = sK20(powerset(sK20(powerset(sK20(sK9(sK8(powerset(X0)))))))) ),
inference(resolution,[],[f2300,f843]) ).
fof(f2320,plain,
! [X0] :
( ~ empty(X0)
| empty_set = sK20(powerset(sK20(sK9(sK8(powerset(X0)))))) ),
inference(resolution,[],[f2300,f841]) ).
fof(f2319,plain,
! [X0,X1] :
( ~ empty(X0)
| sK20(powerset(X1)) = sK20(sK9(sK8(powerset(X0))))
| ~ empty(X1) ),
inference(resolution,[],[f2300,f840]) ).
fof(f2318,plain,
! [X0,X1] :
( ~ empty(X0)
| sK20(sK9(sK8(powerset(X0)))) = X1
| ~ empty(X1) ),
inference(resolution,[],[f2300,f528]) ).
fof(f2317,plain,
! [X0] :
( ~ empty(X0)
| empty_set = sK20(sK9(sK8(powerset(X0)))) ),
inference(resolution,[],[f2300,f430]) ).
fof(f2300,plain,
! [X0] :
( empty(sK20(sK9(sK8(powerset(X0)))))
| ~ empty(X0) ),
inference(resolution,[],[f1625,f747]) ).
fof(f2316,plain,
! [X0,X1] :
( ~ empty(X0)
| in(sK23(X1,sK20(sK9(sK8(powerset(X0))))),X1)
| sK20(sK9(sK8(powerset(X0)))) = X1 ),
inference(resolution,[],[f1625,f525]) ).
fof(f2313,plain,
! [X0,X1] :
( ~ empty(X0)
| in(sK23(sK20(sK9(sK8(powerset(X0)))),X1),X1)
| sK20(sK9(sK8(powerset(X0)))) = X1 ),
inference(resolution,[],[f1625,f525]) ).
fof(f2312,plain,
! [X0] :
( ~ empty(X0)
| empty(sK20(sK9(sK8(powerset(X0))))) ),
inference(resolution,[],[f1625,f1631]) ).
fof(f2311,plain,
! [X0] :
( ~ empty(X0)
| empty(sK20(sK9(sK8(powerset(X0))))) ),
inference(resolution,[],[f1625,f1623]) ).
fof(f2310,plain,
! [X0] :
( ~ empty(X0)
| empty(sK20(sK9(sK8(powerset(X0))))) ),
inference(resolution,[],[f1625,f1615]) ).
fof(f2309,plain,
! [X0] :
( ~ empty(X0)
| empty(sK20(sK9(sK8(powerset(X0))))) ),
inference(resolution,[],[f1625,f1525]) ).
fof(f2308,plain,
! [X0] :
( ~ empty(X0)
| empty(sK20(sK9(sK8(powerset(X0))))) ),
inference(resolution,[],[f1625,f1607]) ).
fof(f2307,plain,
! [X0] :
( ~ empty(X0)
| empty(sK20(sK9(sK8(powerset(X0))))) ),
inference(resolution,[],[f1625,f1322]) ).
fof(f2306,plain,
! [X0] :
( ~ empty(X0)
| empty(sK20(sK9(sK8(powerset(X0))))) ),
inference(resolution,[],[f1625,f1314]) ).
fof(f2305,plain,
! [X0] :
( ~ empty(X0)
| empty(sK20(sK9(sK8(powerset(X0))))) ),
inference(resolution,[],[f1625,f1176]) ).
fof(f2304,plain,
! [X0] :
( ~ empty(X0)
| empty(sK20(sK9(sK8(powerset(X0))))) ),
inference(resolution,[],[f1625,f1599]) ).
fof(f2303,plain,
! [X0] :
( ~ empty(X0)
| empty(sK20(sK9(sK8(powerset(X0))))) ),
inference(resolution,[],[f1625,f1306]) ).
fof(f2302,plain,
! [X0] :
( ~ empty(X0)
| empty(sK20(sK9(sK8(powerset(X0))))) ),
inference(resolution,[],[f1625,f1075]) ).
fof(f2301,plain,
! [X0] :
( ~ empty(X0)
| empty(sK20(sK9(sK8(powerset(X0))))) ),
inference(resolution,[],[f1625,f1036]) ).
fof(f1625,plain,
! [X0,X1] :
( ~ in(X1,sK20(sK9(sK8(powerset(X0)))))
| ~ empty(X0) ),
inference(subsumption_resolution,[],[f1620,f354]) ).
fof(f1620,plain,
! [X0,X1] :
( empty(powerset(X0))
| ~ empty(X0)
| ~ in(X1,sK20(sK9(sK8(powerset(X0))))) ),
inference(resolution,[],[f1552,f540]) ).
fof(f917,plain,
! [X0] :
( finite(sK15(X0))
| empty_carrier(X0)
| ~ rel_str(X0)
| ~ finite(the_carrier(X0)) ),
inference(resolution,[],[f495,f428]) ).
fof(f2295,plain,
! [X0] :
( ~ empty(X0)
| empty_set = sK20(sK7(sK22(sK20(sK9(sK7(powerset(X0))))))) ),
inference(resolution,[],[f2271,f1086]) ).
fof(f2294,plain,
! [X0] :
( ~ empty(X0)
| empty_set = sK20(sK7(powerset(sK20(sK9(sK7(powerset(X0))))))) ),
inference(resolution,[],[f2271,f1070]) ).
fof(f2293,plain,
! [X0] :
( ~ empty(X0)
| empty_set = sK20(sK22(sK20(sK9(sK7(powerset(X0)))))) ),
inference(resolution,[],[f2271,f971]) ).
fof(f2292,plain,
! [X0] :
( ~ empty(X0)
| empty_set = sK20(powerset(sK20(powerset(sK20(sK9(sK7(powerset(X0)))))))) ),
inference(resolution,[],[f2271,f843]) ).
fof(f2291,plain,
! [X0] :
( ~ empty(X0)
| empty_set = sK20(powerset(sK20(sK9(sK7(powerset(X0)))))) ),
inference(resolution,[],[f2271,f841]) ).
fof(f2290,plain,
! [X0,X1] :
( ~ empty(X0)
| sK20(powerset(X1)) = sK20(sK9(sK7(powerset(X0))))
| ~ empty(X1) ),
inference(resolution,[],[f2271,f840]) ).
fof(f2289,plain,
! [X0,X1] :
( ~ empty(X0)
| sK20(sK9(sK7(powerset(X0)))) = X1
| ~ empty(X1) ),
inference(resolution,[],[f2271,f528]) ).
fof(f2288,plain,
! [X0] :
( ~ empty(X0)
| empty_set = sK20(sK9(sK7(powerset(X0)))) ),
inference(resolution,[],[f2271,f430]) ).
fof(f2271,plain,
! [X0] :
( empty(sK20(sK9(sK7(powerset(X0)))))
| ~ empty(X0) ),
inference(resolution,[],[f1617,f747]) ).
fof(f2287,plain,
! [X0,X1] :
( ~ empty(X0)
| in(sK23(X1,sK20(sK9(sK7(powerset(X0))))),X1)
| sK20(sK9(sK7(powerset(X0)))) = X1 ),
inference(resolution,[],[f1617,f525]) ).
fof(f2284,plain,
! [X0,X1] :
( ~ empty(X0)
| in(sK23(sK20(sK9(sK7(powerset(X0)))),X1),X1)
| sK20(sK9(sK7(powerset(X0)))) = X1 ),
inference(resolution,[],[f1617,f525]) ).
fof(f2283,plain,
! [X0] :
( ~ empty(X0)
| empty(sK20(sK9(sK7(powerset(X0))))) ),
inference(resolution,[],[f1617,f1631]) ).
fof(f2282,plain,
! [X0] :
( ~ empty(X0)
| empty(sK20(sK9(sK7(powerset(X0))))) ),
inference(resolution,[],[f1617,f1623]) ).
fof(f2281,plain,
! [X0] :
( ~ empty(X0)
| empty(sK20(sK9(sK7(powerset(X0))))) ),
inference(resolution,[],[f1617,f1615]) ).
fof(f2280,plain,
! [X0] :
( ~ empty(X0)
| empty(sK20(sK9(sK7(powerset(X0))))) ),
inference(resolution,[],[f1617,f1525]) ).
fof(f2279,plain,
! [X0] :
( ~ empty(X0)
| empty(sK20(sK9(sK7(powerset(X0))))) ),
inference(resolution,[],[f1617,f1607]) ).
fof(f2278,plain,
! [X0] :
( ~ empty(X0)
| empty(sK20(sK9(sK7(powerset(X0))))) ),
inference(resolution,[],[f1617,f1322]) ).
fof(f2277,plain,
! [X0] :
( ~ empty(X0)
| empty(sK20(sK9(sK7(powerset(X0))))) ),
inference(resolution,[],[f1617,f1314]) ).
fof(f2276,plain,
! [X0] :
( ~ empty(X0)
| empty(sK20(sK9(sK7(powerset(X0))))) ),
inference(resolution,[],[f1617,f1176]) ).
fof(f2275,plain,
! [X0] :
( ~ empty(X0)
| empty(sK20(sK9(sK7(powerset(X0))))) ),
inference(resolution,[],[f1617,f1599]) ).
fof(f2274,plain,
! [X0] :
( ~ empty(X0)
| empty(sK20(sK9(sK7(powerset(X0))))) ),
inference(resolution,[],[f1617,f1306]) ).
fof(f2273,plain,
! [X0] :
( ~ empty(X0)
| empty(sK20(sK9(sK7(powerset(X0))))) ),
inference(resolution,[],[f1617,f1075]) ).
fof(f2272,plain,
! [X0] :
( ~ empty(X0)
| empty(sK20(sK9(sK7(powerset(X0))))) ),
inference(resolution,[],[f1617,f1036]) ).
fof(f1617,plain,
! [X0,X1] :
( ~ in(X1,sK20(sK9(sK7(powerset(X0)))))
| ~ empty(X0) ),
inference(subsumption_resolution,[],[f1612,f354]) ).
fof(f1612,plain,
! [X0,X1] :
( empty(powerset(X0))
| ~ empty(X0)
| ~ in(X1,sK20(sK9(sK7(powerset(X0))))) ),
inference(resolution,[],[f1551,f540]) ).
fof(f2269,plain,
! [X0] :
( empty_carrier(X0)
| ~ one_sorted_str(X0)
| ~ in(powerset(the_carrier(X0)),sK14(X0)) ),
inference(resolution,[],[f915,f515]) ).
fof(f915,plain,
! [X0] :
( in(sK14(X0),powerset(the_carrier(X0)))
| empty_carrier(X0)
| ~ one_sorted_str(X0) ),
inference(subsumption_resolution,[],[f914,f354]) ).
fof(f914,plain,
! [X0] :
( ~ one_sorted_str(X0)
| empty_carrier(X0)
| empty(powerset(the_carrier(X0)))
| in(sK14(X0),powerset(the_carrier(X0))) ),
inference(resolution,[],[f489,f517]) ).
fof(f2262,plain,
! [X0] :
( ~ empty(X0)
| empty_set = sK20(sK7(sK22(sK20(sK8(sK9(powerset(X0))))))) ),
inference(resolution,[],[f2238,f1086]) ).
fof(f2261,plain,
! [X0] :
( ~ empty(X0)
| empty_set = sK20(sK7(powerset(sK20(sK8(sK9(powerset(X0))))))) ),
inference(resolution,[],[f2238,f1070]) ).
fof(f2260,plain,
! [X0] :
( ~ empty(X0)
| empty_set = sK20(sK22(sK20(sK8(sK9(powerset(X0)))))) ),
inference(resolution,[],[f2238,f971]) ).
fof(f2259,plain,
! [X0] :
( ~ empty(X0)
| empty_set = sK20(powerset(sK20(powerset(sK20(sK8(sK9(powerset(X0)))))))) ),
inference(resolution,[],[f2238,f843]) ).
fof(f2258,plain,
! [X0] :
( ~ empty(X0)
| empty_set = sK20(powerset(sK20(sK8(sK9(powerset(X0)))))) ),
inference(resolution,[],[f2238,f841]) ).
fof(f2257,plain,
! [X0,X1] :
( ~ empty(X0)
| sK20(powerset(X1)) = sK20(sK8(sK9(powerset(X0))))
| ~ empty(X1) ),
inference(resolution,[],[f2238,f840]) ).
fof(f2256,plain,
! [X0,X1] :
( ~ empty(X0)
| sK20(sK8(sK9(powerset(X0)))) = X1
| ~ empty(X1) ),
inference(resolution,[],[f2238,f528]) ).
fof(f2255,plain,
! [X0] :
( ~ empty(X0)
| empty_set = sK20(sK8(sK9(powerset(X0)))) ),
inference(resolution,[],[f2238,f430]) ).
fof(f2238,plain,
! [X0] :
( empty(sK20(sK8(sK9(powerset(X0)))))
| ~ empty(X0) ),
inference(resolution,[],[f1609,f747]) ).
fof(f2254,plain,
! [X0,X1] :
( ~ empty(X0)
| in(sK23(X1,sK20(sK8(sK9(powerset(X0))))),X1)
| sK20(sK8(sK9(powerset(X0)))) = X1 ),
inference(resolution,[],[f1609,f525]) ).
fof(f2251,plain,
! [X0,X1] :
( ~ empty(X0)
| in(sK23(sK20(sK8(sK9(powerset(X0)))),X1),X1)
| sK20(sK8(sK9(powerset(X0)))) = X1 ),
inference(resolution,[],[f1609,f525]) ).
fof(f2250,plain,
! [X0] :
( ~ empty(X0)
| empty(sK20(sK8(sK9(powerset(X0))))) ),
inference(resolution,[],[f1609,f1631]) ).
fof(f2249,plain,
! [X0] :
( ~ empty(X0)
| empty(sK20(sK8(sK9(powerset(X0))))) ),
inference(resolution,[],[f1609,f1623]) ).
fof(f2248,plain,
! [X0] :
( ~ empty(X0)
| empty(sK20(sK8(sK9(powerset(X0))))) ),
inference(resolution,[],[f1609,f1615]) ).
fof(f2247,plain,
! [X0] :
( ~ empty(X0)
| empty(sK20(sK8(sK9(powerset(X0))))) ),
inference(resolution,[],[f1609,f1525]) ).
fof(f2246,plain,
! [X0] :
( ~ empty(X0)
| empty(sK20(sK8(sK9(powerset(X0))))) ),
inference(resolution,[],[f1609,f1607]) ).
fof(f2245,plain,
! [X0] :
( ~ empty(X0)
| empty(sK20(sK8(sK9(powerset(X0))))) ),
inference(resolution,[],[f1609,f1322]) ).
fof(f2244,plain,
! [X0] :
( ~ empty(X0)
| empty(sK20(sK8(sK9(powerset(X0))))) ),
inference(resolution,[],[f1609,f1314]) ).
fof(f2243,plain,
! [X0] :
( ~ empty(X0)
| empty(sK20(sK8(sK9(powerset(X0))))) ),
inference(resolution,[],[f1609,f1176]) ).
fof(f2242,plain,
! [X0] :
( ~ empty(X0)
| empty(sK20(sK8(sK9(powerset(X0))))) ),
inference(resolution,[],[f1609,f1599]) ).
fof(f2241,plain,
! [X0] :
( ~ empty(X0)
| empty(sK20(sK8(sK9(powerset(X0))))) ),
inference(resolution,[],[f1609,f1306]) ).
fof(f2240,plain,
! [X0] :
( ~ empty(X0)
| empty(sK20(sK8(sK9(powerset(X0))))) ),
inference(resolution,[],[f1609,f1075]) ).
fof(f2239,plain,
! [X0] :
( ~ empty(X0)
| empty(sK20(sK8(sK9(powerset(X0))))) ),
inference(resolution,[],[f1609,f1036]) ).
fof(f1609,plain,
! [X0,X1] :
( ~ in(X1,sK20(sK8(sK9(powerset(X0)))))
| ~ empty(X0) ),
inference(subsumption_resolution,[],[f1604,f354]) ).
fof(f1604,plain,
! [X0,X1] :
( empty(powerset(X0))
| ~ empty(X0)
| ~ in(X1,sK20(sK8(sK9(powerset(X0))))) ),
inference(resolution,[],[f1518,f540]) ).
fof(f913,plain,
! [X0] :
( finite(sK14(X0))
| empty_carrier(X0)
| ~ one_sorted_str(X0)
| ~ finite(the_carrier(X0)) ),
inference(resolution,[],[f489,f428]) ).
fof(f2233,plain,
! [X0] :
( ~ empty(X0)
| empty_set = sK20(sK7(sK22(sK20(sK7(sK9(powerset(X0))))))) ),
inference(resolution,[],[f2208,f1086]) ).
fof(f2232,plain,
! [X0] :
( ~ empty(X0)
| empty_set = sK20(sK7(powerset(sK20(sK7(sK9(powerset(X0))))))) ),
inference(resolution,[],[f2208,f1070]) ).
fof(f2231,plain,
! [X0] :
( ~ empty(X0)
| empty_set = sK20(sK22(sK20(sK7(sK9(powerset(X0)))))) ),
inference(resolution,[],[f2208,f971]) ).
fof(f2230,plain,
! [X0] :
( ~ empty(X0)
| empty_set = sK20(powerset(sK20(powerset(sK20(sK7(sK9(powerset(X0)))))))) ),
inference(resolution,[],[f2208,f843]) ).
fof(f2229,plain,
! [X0] :
( ~ empty(X0)
| empty_set = sK20(powerset(sK20(sK7(sK9(powerset(X0)))))) ),
inference(resolution,[],[f2208,f841]) ).
fof(f2228,plain,
! [X0,X1] :
( ~ empty(X0)
| sK20(powerset(X1)) = sK20(sK7(sK9(powerset(X0))))
| ~ empty(X1) ),
inference(resolution,[],[f2208,f840]) ).
fof(f2227,plain,
! [X0,X1] :
( ~ empty(X0)
| sK20(sK7(sK9(powerset(X0)))) = X1
| ~ empty(X1) ),
inference(resolution,[],[f2208,f528]) ).
fof(f2226,plain,
! [X0] :
( ~ empty(X0)
| empty_set = sK20(sK7(sK9(powerset(X0)))) ),
inference(resolution,[],[f2208,f430]) ).
fof(f2208,plain,
! [X0] :
( empty(sK20(sK7(sK9(powerset(X0)))))
| ~ empty(X0) ),
inference(resolution,[],[f1601,f747]) ).
fof(f837,plain,
! [X0] :
( ~ trivial_carrier(X0)
| ~ reflexive_relstr(X0)
| empty_carrier(X0)
| ~ rel_str(X0)
| transitive_relstr(X0) ),
inference(resolution,[],[f450,f447]) ).
fof(f2224,plain,
! [X0,X1] :
( ~ empty(X0)
| in(sK23(X1,sK20(sK7(sK9(powerset(X0))))),X1)
| sK20(sK7(sK9(powerset(X0)))) = X1 ),
inference(resolution,[],[f1601,f525]) ).
fof(f2221,plain,
! [X0,X1] :
( ~ empty(X0)
| in(sK23(sK20(sK7(sK9(powerset(X0)))),X1),X1)
| sK20(sK7(sK9(powerset(X0)))) = X1 ),
inference(resolution,[],[f1601,f525]) ).
fof(f2220,plain,
! [X0] :
( ~ empty(X0)
| empty(sK20(sK7(sK9(powerset(X0))))) ),
inference(resolution,[],[f1601,f1631]) ).
fof(f2219,plain,
! [X0] :
( ~ empty(X0)
| empty(sK20(sK7(sK9(powerset(X0))))) ),
inference(resolution,[],[f1601,f1623]) ).
fof(f2218,plain,
! [X0] :
( ~ empty(X0)
| empty(sK20(sK7(sK9(powerset(X0))))) ),
inference(resolution,[],[f1601,f1615]) ).
fof(f2217,plain,
! [X0] :
( ~ empty(X0)
| empty(sK20(sK7(sK9(powerset(X0))))) ),
inference(resolution,[],[f1601,f1525]) ).
fof(f2216,plain,
! [X0] :
( ~ empty(X0)
| empty(sK20(sK7(sK9(powerset(X0))))) ),
inference(resolution,[],[f1601,f1607]) ).
fof(f2215,plain,
! [X0] :
( ~ empty(X0)
| empty(sK20(sK7(sK9(powerset(X0))))) ),
inference(resolution,[],[f1601,f1322]) ).
fof(f2214,plain,
! [X0] :
( ~ empty(X0)
| empty(sK20(sK7(sK9(powerset(X0))))) ),
inference(resolution,[],[f1601,f1314]) ).
fof(f2213,plain,
! [X0] :
( ~ empty(X0)
| empty(sK20(sK7(sK9(powerset(X0))))) ),
inference(resolution,[],[f1601,f1176]) ).
fof(f2212,plain,
! [X0] :
( ~ empty(X0)
| empty(sK20(sK7(sK9(powerset(X0))))) ),
inference(resolution,[],[f1601,f1599]) ).
fof(f2211,plain,
! [X0] :
( ~ empty(X0)
| empty(sK20(sK7(sK9(powerset(X0))))) ),
inference(resolution,[],[f1601,f1306]) ).
fof(f2210,plain,
! [X0] :
( ~ empty(X0)
| empty(sK20(sK7(sK9(powerset(X0))))) ),
inference(resolution,[],[f1601,f1075]) ).
fof(f2209,plain,
! [X0] :
( ~ empty(X0)
| empty(sK20(sK7(sK9(powerset(X0))))) ),
inference(resolution,[],[f1601,f1036]) ).
fof(f1601,plain,
! [X0,X1] :
( ~ in(X1,sK20(sK7(sK9(powerset(X0)))))
| ~ empty(X0) ),
inference(subsumption_resolution,[],[f1596,f354]) ).
fof(f1596,plain,
! [X0,X1] :
( empty(powerset(X0))
| ~ empty(X0)
| ~ in(X1,sK20(sK7(sK9(powerset(X0))))) ),
inference(resolution,[],[f1515,f540]) ).
fof(f836,plain,
! [X0] :
( ~ trivial_carrier(X0)
| ~ reflexive_relstr(X0)
| empty_carrier(X0)
| ~ rel_str(X0)
| antisymmetric_relstr(X0) ),
inference(resolution,[],[f450,f448]) ).
fof(f2202,plain,
! [X0] :
( ~ empty(X0)
| empty_set = sK20(sK7(sK22(sK20(sK8(sK8(powerset(X0))))))) ),
inference(resolution,[],[f2178,f1086]) ).
fof(f2201,plain,
! [X0] :
( ~ empty(X0)
| empty_set = sK20(sK7(powerset(sK20(sK8(sK8(powerset(X0))))))) ),
inference(resolution,[],[f2178,f1070]) ).
fof(f2200,plain,
! [X0] :
( ~ empty(X0)
| empty_set = sK20(sK22(sK20(sK8(sK8(powerset(X0)))))) ),
inference(resolution,[],[f2178,f971]) ).
fof(f2199,plain,
! [X0] :
( ~ empty(X0)
| empty_set = sK20(powerset(sK20(powerset(sK20(sK8(sK8(powerset(X0)))))))) ),
inference(resolution,[],[f2178,f843]) ).
fof(f2198,plain,
! [X0] :
( ~ empty(X0)
| empty_set = sK20(powerset(sK20(sK8(sK8(powerset(X0)))))) ),
inference(resolution,[],[f2178,f841]) ).
fof(f2197,plain,
! [X0,X1] :
( ~ empty(X0)
| sK20(powerset(X1)) = sK20(sK8(sK8(powerset(X0))))
| ~ empty(X1) ),
inference(resolution,[],[f2178,f840]) ).
fof(f2196,plain,
! [X0,X1] :
( ~ empty(X0)
| sK20(sK8(sK8(powerset(X0)))) = X1
| ~ empty(X1) ),
inference(resolution,[],[f2178,f528]) ).
fof(f2195,plain,
! [X0] :
( ~ empty(X0)
| empty_set = sK20(sK8(sK8(powerset(X0)))) ),
inference(resolution,[],[f2178,f430]) ).
fof(f2178,plain,
! [X0] :
( empty(sK20(sK8(sK8(powerset(X0)))))
| ~ empty(X0) ),
inference(resolution,[],[f1324,f747]) ).
fof(f2194,plain,
! [X0,X1] :
( ~ empty(X0)
| in(sK23(X1,sK20(sK8(sK8(powerset(X0))))),X1)
| sK20(sK8(sK8(powerset(X0)))) = X1 ),
inference(resolution,[],[f1324,f525]) ).
fof(f2191,plain,
! [X0,X1] :
( ~ empty(X0)
| in(sK23(sK20(sK8(sK8(powerset(X0)))),X1),X1)
| sK20(sK8(sK8(powerset(X0)))) = X1 ),
inference(resolution,[],[f1324,f525]) ).
fof(f2190,plain,
! [X0] :
( ~ empty(X0)
| empty(sK20(sK8(sK8(powerset(X0))))) ),
inference(resolution,[],[f1324,f1631]) ).
fof(f2189,plain,
! [X0] :
( ~ empty(X0)
| empty(sK20(sK8(sK8(powerset(X0))))) ),
inference(resolution,[],[f1324,f1623]) ).
fof(f2188,plain,
! [X0] :
( ~ empty(X0)
| empty(sK20(sK8(sK8(powerset(X0))))) ),
inference(resolution,[],[f1324,f1615]) ).
fof(f2187,plain,
! [X0] :
( ~ empty(X0)
| empty(sK20(sK8(sK8(powerset(X0))))) ),
inference(resolution,[],[f1324,f1525]) ).
fof(f2186,plain,
! [X0] :
( ~ empty(X0)
| empty(sK20(sK8(sK8(powerset(X0))))) ),
inference(resolution,[],[f1324,f1607]) ).
fof(f2185,plain,
! [X0] :
( ~ empty(X0)
| empty(sK20(sK8(sK8(powerset(X0))))) ),
inference(resolution,[],[f1324,f1322]) ).
fof(f2184,plain,
! [X0] :
( ~ empty(X0)
| empty(sK20(sK8(sK8(powerset(X0))))) ),
inference(resolution,[],[f1324,f1314]) ).
fof(f2183,plain,
! [X0] :
( ~ empty(X0)
| empty(sK20(sK8(sK8(powerset(X0))))) ),
inference(resolution,[],[f1324,f1176]) ).
fof(f2182,plain,
! [X0] :
( ~ empty(X0)
| empty(sK20(sK8(sK8(powerset(X0))))) ),
inference(resolution,[],[f1324,f1599]) ).
fof(f2181,plain,
! [X0] :
( ~ empty(X0)
| empty(sK20(sK8(sK8(powerset(X0))))) ),
inference(resolution,[],[f1324,f1306]) ).
fof(f2180,plain,
! [X0] :
( ~ empty(X0)
| empty(sK20(sK8(sK8(powerset(X0))))) ),
inference(resolution,[],[f1324,f1075]) ).
fof(f2179,plain,
! [X0] :
( ~ empty(X0)
| empty(sK20(sK8(sK8(powerset(X0))))) ),
inference(resolution,[],[f1324,f1036]) ).
fof(f1324,plain,
! [X0,X1] :
( ~ in(X1,sK20(sK8(sK8(powerset(X0)))))
| ~ empty(X0) ),
inference(subsumption_resolution,[],[f1319,f354]) ).
fof(f1319,plain,
! [X0,X1] :
( empty(powerset(X0))
| ~ empty(X0)
| ~ in(X1,sK20(sK8(sK8(powerset(X0))))) ),
inference(resolution,[],[f1200,f540]) ).
fof(f835,plain,
! [X0] :
( ~ trivial_carrier(X0)
| ~ reflexive_relstr(X0)
| empty_carrier(X0)
| ~ rel_str(X0)
| complete_relstr(X0) ),
inference(resolution,[],[f450,f449]) ).
fof(f2172,plain,
! [X0] :
( ~ empty(X0)
| empty_set = sK20(sK7(sK22(sK20(sK8(sK7(powerset(X0))))))) ),
inference(resolution,[],[f2148,f1086]) ).
fof(f2171,plain,
! [X0] :
( ~ empty(X0)
| empty_set = sK20(sK7(powerset(sK20(sK8(sK7(powerset(X0))))))) ),
inference(resolution,[],[f2148,f1070]) ).
fof(f2170,plain,
! [X0] :
( ~ empty(X0)
| empty_set = sK20(sK22(sK20(sK8(sK7(powerset(X0)))))) ),
inference(resolution,[],[f2148,f971]) ).
fof(f2169,plain,
! [X0] :
( ~ empty(X0)
| empty_set = sK20(powerset(sK20(powerset(sK20(sK8(sK7(powerset(X0)))))))) ),
inference(resolution,[],[f2148,f843]) ).
fof(f2168,plain,
! [X0] :
( ~ empty(X0)
| empty_set = sK20(powerset(sK20(sK8(sK7(powerset(X0)))))) ),
inference(resolution,[],[f2148,f841]) ).
fof(f2167,plain,
! [X0,X1] :
( ~ empty(X0)
| sK20(powerset(X1)) = sK20(sK8(sK7(powerset(X0))))
| ~ empty(X1) ),
inference(resolution,[],[f2148,f840]) ).
fof(f2166,plain,
! [X0,X1] :
( ~ empty(X0)
| sK20(sK8(sK7(powerset(X0)))) = X1
| ~ empty(X1) ),
inference(resolution,[],[f2148,f528]) ).
fof(f2165,plain,
! [X0] :
( ~ empty(X0)
| empty_set = sK20(sK8(sK7(powerset(X0)))) ),
inference(resolution,[],[f2148,f430]) ).
fof(f2148,plain,
! [X0] :
( empty(sK20(sK8(sK7(powerset(X0)))))
| ~ empty(X0) ),
inference(resolution,[],[f1316,f747]) ).
fof(f2164,plain,
! [X0,X1] :
( ~ empty(X0)
| in(sK23(X1,sK20(sK8(sK7(powerset(X0))))),X1)
| sK20(sK8(sK7(powerset(X0)))) = X1 ),
inference(resolution,[],[f1316,f525]) ).
fof(f2161,plain,
! [X0,X1] :
( ~ empty(X0)
| in(sK23(sK20(sK8(sK7(powerset(X0)))),X1),X1)
| sK20(sK8(sK7(powerset(X0)))) = X1 ),
inference(resolution,[],[f1316,f525]) ).
fof(f2160,plain,
! [X0] :
( ~ empty(X0)
| empty(sK20(sK8(sK7(powerset(X0))))) ),
inference(resolution,[],[f1316,f1631]) ).
fof(f2159,plain,
! [X0] :
( ~ empty(X0)
| empty(sK20(sK8(sK7(powerset(X0))))) ),
inference(resolution,[],[f1316,f1623]) ).
fof(f2158,plain,
! [X0] :
( ~ empty(X0)
| empty(sK20(sK8(sK7(powerset(X0))))) ),
inference(resolution,[],[f1316,f1615]) ).
fof(f2157,plain,
! [X0] :
( ~ empty(X0)
| empty(sK20(sK8(sK7(powerset(X0))))) ),
inference(resolution,[],[f1316,f1525]) ).
fof(f2156,plain,
! [X0] :
( ~ empty(X0)
| empty(sK20(sK8(sK7(powerset(X0))))) ),
inference(resolution,[],[f1316,f1607]) ).
fof(f2155,plain,
! [X0] :
( ~ empty(X0)
| empty(sK20(sK8(sK7(powerset(X0))))) ),
inference(resolution,[],[f1316,f1322]) ).
fof(f2154,plain,
! [X0] :
( ~ empty(X0)
| empty(sK20(sK8(sK7(powerset(X0))))) ),
inference(resolution,[],[f1316,f1314]) ).
fof(f2153,plain,
! [X0] :
( ~ empty(X0)
| empty(sK20(sK8(sK7(powerset(X0))))) ),
inference(resolution,[],[f1316,f1176]) ).
fof(f2152,plain,
! [X0] :
( ~ empty(X0)
| empty(sK20(sK8(sK7(powerset(X0))))) ),
inference(resolution,[],[f1316,f1599]) ).
fof(f2151,plain,
! [X0] :
( ~ empty(X0)
| empty(sK20(sK8(sK7(powerset(X0))))) ),
inference(resolution,[],[f1316,f1306]) ).
fof(f2150,plain,
! [X0] :
( ~ empty(X0)
| empty(sK20(sK8(sK7(powerset(X0))))) ),
inference(resolution,[],[f1316,f1075]) ).
fof(f2149,plain,
! [X0] :
( ~ empty(X0)
| empty(sK20(sK8(sK7(powerset(X0))))) ),
inference(resolution,[],[f1316,f1036]) ).
fof(f1316,plain,
! [X0,X1] :
( ~ in(X1,sK20(sK8(sK7(powerset(X0)))))
| ~ empty(X0) ),
inference(subsumption_resolution,[],[f1311,f354]) ).
fof(f1311,plain,
! [X0,X1] :
( empty(powerset(X0))
| ~ empty(X0)
| ~ in(X1,sK20(sK8(sK7(powerset(X0))))) ),
inference(resolution,[],[f1199,f540]) ).
fof(f2113,plain,
! [X2,X3,X0,X1] :
( ~ is_eventually_in(X0,X1,sK26(X2,X0,X3))
| in(sK26(X2,X0,X3),a_2_1_yellow19(X0,X1))
| ~ net_str(X1,X0)
| empty_carrier(X1)
| ~ one_sorted_str(X0)
| empty_carrier(X0)
| ~ in(X2,a_2_1_yellow19(X0,X3))
| ~ net_str(X3,X0)
| empty_carrier(X3) ),
inference(duplicate_literal_removal,[],[f2112]) ).
fof(f2112,plain,
! [X2,X3,X0,X1] :
( ~ is_eventually_in(X0,X1,sK26(X2,X0,X3))
| in(sK26(X2,X0,X3),a_2_1_yellow19(X0,X1))
| ~ net_str(X1,X0)
| empty_carrier(X1)
| ~ one_sorted_str(X0)
| empty_carrier(X0)
| ~ in(X2,a_2_1_yellow19(X0,X3))
| ~ net_str(X3,X0)
| empty_carrier(X3)
| ~ one_sorted_str(X0)
| empty_carrier(X0) ),
inference(resolution,[],[f621,f533]) ).
fof(f2147,plain,
! [X0,X1] :
( in(empty_set,a_2_1_yellow19(X0,X1))
| ~ is_eventually_in(X0,X1,empty_set)
| ~ net_str(X1,X0)
| empty_carrier(X1)
| ~ one_sorted_str(X0)
| empty_carrier(X0) ),
inference(forward_demodulation,[],[f2146,f638]) ).
fof(f2146,plain,
! [X0,X1] :
( ~ is_eventually_in(X0,X1,empty_set)
| in(sK21(the_carrier(X0)),a_2_1_yellow19(X0,X1))
| ~ net_str(X1,X0)
| empty_carrier(X1)
| ~ one_sorted_str(X0)
| empty_carrier(X0) ),
inference(forward_demodulation,[],[f2111,f638]) ).
fof(f2111,plain,
! [X0,X1] :
( ~ is_eventually_in(X0,X1,sK21(the_carrier(X0)))
| in(sK21(the_carrier(X0)),a_2_1_yellow19(X0,X1))
| ~ net_str(X1,X0)
| empty_carrier(X1)
| ~ one_sorted_str(X0)
| empty_carrier(X0) ),
inference(resolution,[],[f621,f509]) ).
fof(f2145,plain,
! [X0,X1] :
( ~ is_eventually_in(X0,X1,sK20(sK9(sK9(powerset(the_carrier(X0))))))
| in(sK20(sK9(sK9(powerset(the_carrier(X0))))),a_2_1_yellow19(X0,X1))
| ~ net_str(X1,X0)
| empty_carrier(X1)
| ~ one_sorted_str(X0)
| empty_carrier(X0) ),
inference(subsumption_resolution,[],[f2110,f354]) ).
fof(f2110,plain,
! [X0,X1] :
( ~ is_eventually_in(X0,X1,sK20(sK9(sK9(powerset(the_carrier(X0))))))
| in(sK20(sK9(sK9(powerset(the_carrier(X0))))),a_2_1_yellow19(X0,X1))
| ~ net_str(X1,X0)
| empty_carrier(X1)
| ~ one_sorted_str(X0)
| empty_carrier(X0)
| empty(powerset(the_carrier(X0))) ),
inference(resolution,[],[f621,f1553]) ).
fof(f2144,plain,
! [X0,X1] :
( ~ is_eventually_in(X0,X1,sK20(sK9(sK8(powerset(the_carrier(X0))))))
| in(sK20(sK9(sK8(powerset(the_carrier(X0))))),a_2_1_yellow19(X0,X1))
| ~ net_str(X1,X0)
| empty_carrier(X1)
| ~ one_sorted_str(X0)
| empty_carrier(X0) ),
inference(subsumption_resolution,[],[f2109,f354]) ).
fof(f2109,plain,
! [X0,X1] :
( ~ is_eventually_in(X0,X1,sK20(sK9(sK8(powerset(the_carrier(X0))))))
| in(sK20(sK9(sK8(powerset(the_carrier(X0))))),a_2_1_yellow19(X0,X1))
| ~ net_str(X1,X0)
| empty_carrier(X1)
| ~ one_sorted_str(X0)
| empty_carrier(X0)
| empty(powerset(the_carrier(X0))) ),
inference(resolution,[],[f621,f1552]) ).
fof(f2143,plain,
! [X0,X1] :
( ~ is_eventually_in(X0,X1,sK20(sK9(sK7(powerset(the_carrier(X0))))))
| in(sK20(sK9(sK7(powerset(the_carrier(X0))))),a_2_1_yellow19(X0,X1))
| ~ net_str(X1,X0)
| empty_carrier(X1)
| ~ one_sorted_str(X0)
| empty_carrier(X0) ),
inference(subsumption_resolution,[],[f2108,f354]) ).
fof(f2108,plain,
! [X0,X1] :
( ~ is_eventually_in(X0,X1,sK20(sK9(sK7(powerset(the_carrier(X0))))))
| in(sK20(sK9(sK7(powerset(the_carrier(X0))))),a_2_1_yellow19(X0,X1))
| ~ net_str(X1,X0)
| empty_carrier(X1)
| ~ one_sorted_str(X0)
| empty_carrier(X0)
| empty(powerset(the_carrier(X0))) ),
inference(resolution,[],[f621,f1551]) ).
fof(f2142,plain,
! [X0,X1] :
( ~ is_eventually_in(X0,X1,sK20(sK9(powerset(the_carrier(X0)))))
| in(sK20(sK9(powerset(the_carrier(X0)))),a_2_1_yellow19(X0,X1))
| ~ net_str(X1,X0)
| empty_carrier(X1)
| ~ one_sorted_str(X0)
| empty_carrier(X0) ),
inference(subsumption_resolution,[],[f2107,f354]) ).
fof(f2107,plain,
! [X0,X1] :
( ~ is_eventually_in(X0,X1,sK20(sK9(powerset(the_carrier(X0)))))
| in(sK20(sK9(powerset(the_carrier(X0)))),a_2_1_yellow19(X0,X1))
| ~ net_str(X1,X0)
| empty_carrier(X1)
| ~ one_sorted_str(X0)
| empty_carrier(X0)
| empty(powerset(the_carrier(X0))) ),
inference(resolution,[],[f621,f1514]) ).
fof(f2141,plain,
! [X0,X1] :
( ~ is_eventually_in(X0,X1,sK20(sK8(sK9(powerset(the_carrier(X0))))))
| in(sK20(sK8(sK9(powerset(the_carrier(X0))))),a_2_1_yellow19(X0,X1))
| ~ net_str(X1,X0)
| empty_carrier(X1)
| ~ one_sorted_str(X0)
| empty_carrier(X0) ),
inference(subsumption_resolution,[],[f2106,f354]) ).
fof(f2106,plain,
! [X0,X1] :
( ~ is_eventually_in(X0,X1,sK20(sK8(sK9(powerset(the_carrier(X0))))))
| in(sK20(sK8(sK9(powerset(the_carrier(X0))))),a_2_1_yellow19(X0,X1))
| ~ net_str(X1,X0)
| empty_carrier(X1)
| ~ one_sorted_str(X0)
| empty_carrier(X0)
| empty(powerset(the_carrier(X0))) ),
inference(resolution,[],[f621,f1518]) ).
fof(f2140,plain,
! [X0,X1] :
( ~ is_eventually_in(X0,X1,sK20(sK8(sK8(powerset(the_carrier(X0))))))
| in(sK20(sK8(sK8(powerset(the_carrier(X0))))),a_2_1_yellow19(X0,X1))
| ~ net_str(X1,X0)
| empty_carrier(X1)
| ~ one_sorted_str(X0)
| empty_carrier(X0) ),
inference(subsumption_resolution,[],[f2105,f354]) ).
fof(f2105,plain,
! [X0,X1] :
( ~ is_eventually_in(X0,X1,sK20(sK8(sK8(powerset(the_carrier(X0))))))
| in(sK20(sK8(sK8(powerset(the_carrier(X0))))),a_2_1_yellow19(X0,X1))
| ~ net_str(X1,X0)
| empty_carrier(X1)
| ~ one_sorted_str(X0)
| empty_carrier(X0)
| empty(powerset(the_carrier(X0))) ),
inference(resolution,[],[f621,f1200]) ).
fof(f2139,plain,
! [X0,X1] :
( ~ is_eventually_in(X0,X1,sK20(sK8(sK7(powerset(the_carrier(X0))))))
| in(sK20(sK8(sK7(powerset(the_carrier(X0))))),a_2_1_yellow19(X0,X1))
| ~ net_str(X1,X0)
| empty_carrier(X1)
| ~ one_sorted_str(X0)
| empty_carrier(X0) ),
inference(subsumption_resolution,[],[f2104,f354]) ).
fof(f2104,plain,
! [X0,X1] :
( ~ is_eventually_in(X0,X1,sK20(sK8(sK7(powerset(the_carrier(X0))))))
| in(sK20(sK8(sK7(powerset(the_carrier(X0))))),a_2_1_yellow19(X0,X1))
| ~ net_str(X1,X0)
| empty_carrier(X1)
| ~ one_sorted_str(X0)
| empty_carrier(X0)
| empty(powerset(the_carrier(X0))) ),
inference(resolution,[],[f621,f1199]) ).
fof(f2138,plain,
! [X0,X1] :
( ~ is_eventually_in(X0,X1,sK20(sK8(powerset(the_carrier(X0)))))
| in(sK20(sK8(powerset(the_carrier(X0)))),a_2_1_yellow19(X0,X1))
| ~ net_str(X1,X0)
| empty_carrier(X1)
| ~ one_sorted_str(X0)
| empty_carrier(X0) ),
inference(subsumption_resolution,[],[f2103,f354]) ).
fof(f2103,plain,
! [X0,X1] :
( ~ is_eventually_in(X0,X1,sK20(sK8(powerset(the_carrier(X0)))))
| in(sK20(sK8(powerset(the_carrier(X0)))),a_2_1_yellow19(X0,X1))
| ~ net_str(X1,X0)
| empty_carrier(X1)
| ~ one_sorted_str(X0)
| empty_carrier(X0)
| empty(powerset(the_carrier(X0))) ),
inference(resolution,[],[f621,f1169]) ).
fof(f2137,plain,
! [X0,X1] :
( ~ is_eventually_in(X0,X1,sK20(sK7(sK9(powerset(the_carrier(X0))))))
| in(sK20(sK7(sK9(powerset(the_carrier(X0))))),a_2_1_yellow19(X0,X1))
| ~ net_str(X1,X0)
| empty_carrier(X1)
| ~ one_sorted_str(X0)
| empty_carrier(X0) ),
inference(subsumption_resolution,[],[f2102,f354]) ).
fof(f2102,plain,
! [X0,X1] :
( ~ is_eventually_in(X0,X1,sK20(sK7(sK9(powerset(the_carrier(X0))))))
| in(sK20(sK7(sK9(powerset(the_carrier(X0))))),a_2_1_yellow19(X0,X1))
| ~ net_str(X1,X0)
| empty_carrier(X1)
| ~ one_sorted_str(X0)
| empty_carrier(X0)
| empty(powerset(the_carrier(X0))) ),
inference(resolution,[],[f621,f1515]) ).
fof(f2136,plain,
! [X0,X1] :
( ~ is_eventually_in(X0,X1,sK20(sK7(sK8(powerset(the_carrier(X0))))))
| in(sK20(sK7(sK8(powerset(the_carrier(X0))))),a_2_1_yellow19(X0,X1))
| ~ net_str(X1,X0)
| empty_carrier(X1)
| ~ one_sorted_str(X0)
| empty_carrier(X0) ),
inference(subsumption_resolution,[],[f2101,f354]) ).
fof(f2101,plain,
! [X0,X1] :
( ~ is_eventually_in(X0,X1,sK20(sK7(sK8(powerset(the_carrier(X0))))))
| in(sK20(sK7(sK8(powerset(the_carrier(X0))))),a_2_1_yellow19(X0,X1))
| ~ net_str(X1,X0)
| empty_carrier(X1)
| ~ one_sorted_str(X0)
| empty_carrier(X0)
| empty(powerset(the_carrier(X0))) ),
inference(resolution,[],[f621,f1170]) ).
fof(f2135,plain,
! [X0,X1] :
( ~ is_eventually_in(X0,X1,sK20(sK7(sK7(powerset(the_carrier(X0))))))
| in(sK20(sK7(sK7(powerset(the_carrier(X0))))),a_2_1_yellow19(X0,X1))
| ~ net_str(X1,X0)
| empty_carrier(X1)
| ~ one_sorted_str(X0)
| empty_carrier(X0) ),
inference(subsumption_resolution,[],[f2100,f354]) ).
fof(f2100,plain,
! [X0,X1] :
( ~ is_eventually_in(X0,X1,sK20(sK7(sK7(powerset(the_carrier(X0))))))
| in(sK20(sK7(sK7(powerset(the_carrier(X0))))),a_2_1_yellow19(X0,X1))
| ~ net_str(X1,X0)
| empty_carrier(X1)
| ~ one_sorted_str(X0)
| empty_carrier(X0)
| empty(powerset(the_carrier(X0))) ),
inference(resolution,[],[f621,f1056]) ).
fof(f2134,plain,
! [X0,X1] :
( ~ is_eventually_in(X0,X1,sK20(sK7(powerset(the_carrier(X0)))))
| in(sK20(sK7(powerset(the_carrier(X0)))),a_2_1_yellow19(X0,X1))
| ~ net_str(X1,X0)
| empty_carrier(X1)
| ~ one_sorted_str(X0)
| empty_carrier(X0) ),
inference(subsumption_resolution,[],[f2099,f354]) ).
fof(f2099,plain,
! [X0,X1] :
( ~ is_eventually_in(X0,X1,sK20(sK7(powerset(the_carrier(X0)))))
| in(sK20(sK7(powerset(the_carrier(X0)))),a_2_1_yellow19(X0,X1))
| ~ net_str(X1,X0)
| empty_carrier(X1)
| ~ one_sorted_str(X0)
| empty_carrier(X0)
| empty(powerset(the_carrier(X0))) ),
inference(resolution,[],[f621,f1031]) ).
fof(f2098,plain,
! [X0,X1] :
( ~ is_eventually_in(X0,X1,sK20(powerset(the_carrier(X0))))
| in(sK20(powerset(the_carrier(X0))),a_2_1_yellow19(X0,X1))
| ~ net_str(X1,X0)
| empty_carrier(X1)
| ~ one_sorted_str(X0)
| empty_carrier(X0) ),
inference(resolution,[],[f621,f508]) ).
fof(f2133,plain,
! [X0,X1] :
( ~ is_eventually_in(X0,X1,sK19(X0))
| in(sK19(X0),a_2_1_yellow19(X0,X1))
| ~ net_str(X1,X0)
| empty_carrier(X1)
| ~ rel_str(X0)
| ~ with_infima_relstr(X0)
| ~ with_suprema_relstr(X0)
| ~ antisymmetric_relstr(X0)
| ~ transitive_relstr(X0)
| ~ reflexive_relstr(X0) ),
inference(subsumption_resolution,[],[f2132,f431]) ).
fof(f2132,plain,
! [X0,X1] :
( ~ is_eventually_in(X0,X1,sK19(X0))
| in(sK19(X0),a_2_1_yellow19(X0,X1))
| ~ net_str(X1,X0)
| empty_carrier(X1)
| ~ one_sorted_str(X0)
| ~ rel_str(X0)
| ~ with_infima_relstr(X0)
| ~ with_suprema_relstr(X0)
| ~ antisymmetric_relstr(X0)
| ~ transitive_relstr(X0)
| ~ reflexive_relstr(X0) ),
inference(subsumption_resolution,[],[f2097,f437]) ).
fof(f2097,plain,
! [X0,X1] :
( ~ is_eventually_in(X0,X1,sK19(X0))
| in(sK19(X0),a_2_1_yellow19(X0,X1))
| ~ net_str(X1,X0)
| empty_carrier(X1)
| ~ one_sorted_str(X0)
| empty_carrier(X0)
| ~ rel_str(X0)
| ~ with_infima_relstr(X0)
| ~ with_suprema_relstr(X0)
| ~ antisymmetric_relstr(X0)
| ~ transitive_relstr(X0)
| ~ reflexive_relstr(X0) ),
inference(resolution,[],[f621,f506]) ).
fof(f2131,plain,
! [X0,X1] :
( ~ is_eventually_in(X0,X1,sK18(X0))
| in(sK18(X0),a_2_1_yellow19(X0,X1))
| ~ net_str(X1,X0)
| empty_carrier(X1)
| empty_carrier(X0)
| ~ rel_str(X0)
| ~ transitive_relstr(X0)
| ~ reflexive_relstr(X0) ),
inference(subsumption_resolution,[],[f2114,f431]) ).
fof(f2114,plain,
! [X0,X1] :
( ~ is_eventually_in(X0,X1,sK18(X0))
| in(sK18(X0),a_2_1_yellow19(X0,X1))
| ~ net_str(X1,X0)
| empty_carrier(X1)
| ~ one_sorted_str(X0)
| empty_carrier(X0)
| ~ rel_str(X0)
| ~ transitive_relstr(X0)
| ~ reflexive_relstr(X0) ),
inference(duplicate_literal_removal,[],[f2096]) ).
fof(f2096,plain,
! [X0,X1] :
( ~ is_eventually_in(X0,X1,sK18(X0))
| in(sK18(X0),a_2_1_yellow19(X0,X1))
| ~ net_str(X1,X0)
| empty_carrier(X1)
| ~ one_sorted_str(X0)
| empty_carrier(X0)
| ~ rel_str(X0)
| ~ transitive_relstr(X0)
| ~ reflexive_relstr(X0)
| empty_carrier(X0) ),
inference(resolution,[],[f621,f502]) ).
fof(f2130,plain,
! [X0,X1] :
( ~ is_eventually_in(X0,X1,sK17(X0))
| in(sK17(X0),a_2_1_yellow19(X0,X1))
| ~ net_str(X1,X0)
| empty_carrier(X1)
| empty_carrier(X0)
| ~ rel_str(X0)
| ~ transitive_relstr(X0)
| ~ reflexive_relstr(X0) ),
inference(subsumption_resolution,[],[f2115,f431]) ).
fof(f2115,plain,
! [X0,X1] :
( ~ is_eventually_in(X0,X1,sK17(X0))
| in(sK17(X0),a_2_1_yellow19(X0,X1))
| ~ net_str(X1,X0)
| empty_carrier(X1)
| ~ one_sorted_str(X0)
| empty_carrier(X0)
| ~ rel_str(X0)
| ~ transitive_relstr(X0)
| ~ reflexive_relstr(X0) ),
inference(duplicate_literal_removal,[],[f2095]) ).
fof(f2095,plain,
! [X0,X1] :
( ~ is_eventually_in(X0,X1,sK17(X0))
| in(sK17(X0),a_2_1_yellow19(X0,X1))
| ~ net_str(X1,X0)
| empty_carrier(X1)
| ~ one_sorted_str(X0)
| empty_carrier(X0)
| ~ rel_str(X0)
| ~ transitive_relstr(X0)
| ~ reflexive_relstr(X0)
| empty_carrier(X0) ),
inference(resolution,[],[f621,f500]) ).
fof(f2129,plain,
! [X0,X1] :
( ~ is_eventually_in(X0,X1,sK16(X0))
| in(sK16(X0),a_2_1_yellow19(X0,X1))
| ~ net_str(X1,X0)
| empty_carrier(X1)
| empty_carrier(X0)
| ~ rel_str(X0)
| ~ reflexive_relstr(X0) ),
inference(subsumption_resolution,[],[f2116,f431]) ).
fof(f2116,plain,
! [X0,X1] :
( ~ is_eventually_in(X0,X1,sK16(X0))
| in(sK16(X0),a_2_1_yellow19(X0,X1))
| ~ net_str(X1,X0)
| empty_carrier(X1)
| ~ one_sorted_str(X0)
| empty_carrier(X0)
| ~ rel_str(X0)
| ~ reflexive_relstr(X0) ),
inference(duplicate_literal_removal,[],[f2094]) ).
fof(f2094,plain,
! [X0,X1] :
( ~ is_eventually_in(X0,X1,sK16(X0))
| in(sK16(X0),a_2_1_yellow19(X0,X1))
| ~ net_str(X1,X0)
| empty_carrier(X1)
| ~ one_sorted_str(X0)
| empty_carrier(X0)
| ~ rel_str(X0)
| ~ reflexive_relstr(X0)
| empty_carrier(X0) ),
inference(resolution,[],[f621,f497]) ).
fof(f2128,plain,
! [X0,X1] :
( ~ is_eventually_in(X0,X1,sK15(X0))
| in(sK15(X0),a_2_1_yellow19(X0,X1))
| ~ net_str(X1,X0)
| empty_carrier(X1)
| empty_carrier(X0)
| ~ rel_str(X0) ),
inference(subsumption_resolution,[],[f2117,f431]) ).
fof(f2117,plain,
! [X0,X1] :
( ~ is_eventually_in(X0,X1,sK15(X0))
| in(sK15(X0),a_2_1_yellow19(X0,X1))
| ~ net_str(X1,X0)
| empty_carrier(X1)
| ~ one_sorted_str(X0)
| empty_carrier(X0)
| ~ rel_str(X0) ),
inference(duplicate_literal_removal,[],[f2093]) ).
fof(f2093,plain,
! [X0,X1] :
( ~ is_eventually_in(X0,X1,sK15(X0))
| in(sK15(X0),a_2_1_yellow19(X0,X1))
| ~ net_str(X1,X0)
| empty_carrier(X1)
| ~ one_sorted_str(X0)
| empty_carrier(X0)
| ~ rel_str(X0)
| empty_carrier(X0) ),
inference(resolution,[],[f621,f495]) ).
fof(f2118,plain,
! [X0,X1] :
( ~ is_eventually_in(X0,X1,sK14(X0))
| in(sK14(X0),a_2_1_yellow19(X0,X1))
| ~ net_str(X1,X0)
| empty_carrier(X1)
| ~ one_sorted_str(X0)
| empty_carrier(X0) ),
inference(duplicate_literal_removal,[],[f2092]) ).
fof(f2092,plain,
! [X0,X1] :
( ~ is_eventually_in(X0,X1,sK14(X0))
| in(sK14(X0),a_2_1_yellow19(X0,X1))
| ~ net_str(X1,X0)
| empty_carrier(X1)
| ~ one_sorted_str(X0)
| empty_carrier(X0)
| ~ one_sorted_str(X0)
| empty_carrier(X0) ),
inference(resolution,[],[f621,f489]) ).
fof(f2127,plain,
! [X0,X1] :
( ~ is_eventually_in(X0,X1,sK13(X0))
| in(sK13(X0),a_2_1_yellow19(X0,X1))
| ~ net_str(X1,X0)
| empty_carrier(X1)
| empty_carrier(X0)
| ~ rel_str(X0) ),
inference(subsumption_resolution,[],[f2091,f431]) ).
fof(f2091,plain,
! [X0,X1] :
( ~ is_eventually_in(X0,X1,sK13(X0))
| in(sK13(X0),a_2_1_yellow19(X0,X1))
| ~ net_str(X1,X0)
| empty_carrier(X1)
| ~ one_sorted_str(X0)
| empty_carrier(X0)
| ~ rel_str(X0) ),
inference(resolution,[],[f621,f485]) ).
fof(f2126,plain,
! [X0,X1] :
( ~ is_eventually_in(X0,X1,sK12(X0))
| in(sK12(X0),a_2_1_yellow19(X0,X1))
| ~ net_str(X1,X0)
| empty_carrier(X1)
| empty_carrier(X0)
| ~ rel_str(X0) ),
inference(subsumption_resolution,[],[f2090,f431]) ).
fof(f2090,plain,
! [X0,X1] :
( ~ is_eventually_in(X0,X1,sK12(X0))
| in(sK12(X0),a_2_1_yellow19(X0,X1))
| ~ net_str(X1,X0)
| empty_carrier(X1)
| ~ one_sorted_str(X0)
| empty_carrier(X0)
| ~ rel_str(X0) ),
inference(resolution,[],[f621,f484]) ).
fof(f2125,plain,
! [X0,X1] :
( ~ is_eventually_in(X0,X1,sK9(the_carrier(X0)))
| in(sK9(the_carrier(X0)),a_2_1_yellow19(X0,X1))
| ~ net_str(X1,X0)
| empty_carrier(X1)
| ~ one_sorted_str(X0)
| empty_carrier(X0) ),
inference(subsumption_resolution,[],[f2089,f487]) ).
fof(f2089,plain,
! [X0,X1] :
( ~ is_eventually_in(X0,X1,sK9(the_carrier(X0)))
| in(sK9(the_carrier(X0)),a_2_1_yellow19(X0,X1))
| ~ net_str(X1,X0)
| empty_carrier(X1)
| ~ one_sorted_str(X0)
| empty_carrier(X0)
| empty(the_carrier(X0)) ),
inference(resolution,[],[f621,f419]) ).
fof(f2124,plain,
! [X0,X1] :
( ~ is_eventually_in(X0,X1,sK8(the_carrier(X0)))
| in(sK8(the_carrier(X0)),a_2_1_yellow19(X0,X1))
| ~ net_str(X1,X0)
| empty_carrier(X1)
| ~ one_sorted_str(X0)
| empty_carrier(X0) ),
inference(subsumption_resolution,[],[f2088,f487]) ).
fof(f2088,plain,
! [X0,X1] :
( ~ is_eventually_in(X0,X1,sK8(the_carrier(X0)))
| in(sK8(the_carrier(X0)),a_2_1_yellow19(X0,X1))
| ~ net_str(X1,X0)
| empty_carrier(X1)
| ~ one_sorted_str(X0)
| empty_carrier(X0)
| empty(the_carrier(X0)) ),
inference(resolution,[],[f621,f416]) ).
fof(f2123,plain,
! [X0,X1] :
( ~ is_eventually_in(X0,X1,sK7(the_carrier(X0)))
| in(sK7(the_carrier(X0)),a_2_1_yellow19(X0,X1))
| ~ net_str(X1,X0)
| empty_carrier(X1)
| ~ one_sorted_str(X0)
| empty_carrier(X0) ),
inference(subsumption_resolution,[],[f2087,f487]) ).
fof(f2087,plain,
! [X0,X1] :
( ~ is_eventually_in(X0,X1,sK7(the_carrier(X0)))
| in(sK7(the_carrier(X0)),a_2_1_yellow19(X0,X1))
| ~ net_str(X1,X0)
| empty_carrier(X1)
| ~ one_sorted_str(X0)
| empty_carrier(X0)
| empty(the_carrier(X0)) ),
inference(resolution,[],[f621,f414]) ).
fof(f2085,plain,
! [X0,X1] :
( ~ is_eventually_in(X0,X1,empty_set)
| in(empty_set,a_2_1_yellow19(X0,X1))
| ~ net_str(X1,X0)
| empty_carrier(X1)
| ~ one_sorted_str(X0)
| empty_carrier(X0) ),
inference(resolution,[],[f621,f640]) ).
fof(f2119,plain,
! [X0,X1] :
( ~ is_eventually_in(X0,X1,cast_as_carrier_subset(X0))
| in(cast_as_carrier_subset(X0),a_2_1_yellow19(X0,X1))
| ~ net_str(X1,X0)
| empty_carrier(X1)
| ~ one_sorted_str(X0)
| empty_carrier(X0) ),
inference(duplicate_literal_removal,[],[f2084]) ).
fof(f2084,plain,
! [X0,X1] :
( ~ is_eventually_in(X0,X1,cast_as_carrier_subset(X0))
| in(cast_as_carrier_subset(X0),a_2_1_yellow19(X0,X1))
| ~ net_str(X1,X0)
| empty_carrier(X1)
| ~ one_sorted_str(X0)
| empty_carrier(X0)
| ~ one_sorted_str(X0) ),
inference(resolution,[],[f621,f422]) ).
fof(f2120,plain,
! [X2,X0,X1] :
( ~ is_eventually_in(boole_POSet(cast_as_carrier_subset(X0)),X1,filter_of_net_str(X0,X2))
| in(filter_of_net_str(X0,X2),a_2_1_yellow19(boole_POSet(cast_as_carrier_subset(X0)),X1))
| ~ net_str(X1,boole_POSet(cast_as_carrier_subset(X0)))
| empty_carrier(X1)
| ~ one_sorted_str(boole_POSet(cast_as_carrier_subset(X0)))
| ~ net_str(X2,X0)
| empty_carrier(X2)
| ~ one_sorted_str(X0)
| empty_carrier(X0) ),
inference(subsumption_resolution,[],[f2083,f355]) ).
fof(f2083,plain,
! [X2,X0,X1] :
( ~ is_eventually_in(boole_POSet(cast_as_carrier_subset(X0)),X1,filter_of_net_str(X0,X2))
| in(filter_of_net_str(X0,X2),a_2_1_yellow19(boole_POSet(cast_as_carrier_subset(X0)),X1))
| ~ net_str(X1,boole_POSet(cast_as_carrier_subset(X0)))
| empty_carrier(X1)
| ~ one_sorted_str(boole_POSet(cast_as_carrier_subset(X0)))
| empty_carrier(boole_POSet(cast_as_carrier_subset(X0)))
| ~ net_str(X2,X0)
| empty_carrier(X2)
| ~ one_sorted_str(X0)
| empty_carrier(X0) ),
inference(resolution,[],[f621,f523]) ).
fof(f2082,plain,
! [X2,X0,X1] :
( ~ is_eventually_in(X0,X1,X2)
| in(X2,a_2_1_yellow19(X0,X1))
| ~ net_str(X1,X0)
| empty_carrier(X1)
| ~ one_sorted_str(X0)
| empty_carrier(X0)
| ~ in(X2,powerset(the_carrier(X0))) ),
inference(resolution,[],[f621,f516]) ).
fof(f2081,plain,
! [X2,X0,X1] :
( ~ is_eventually_in(X0,X1,X2)
| in(X2,a_2_1_yellow19(X0,X1))
| ~ net_str(X1,X0)
| empty_carrier(X1)
| ~ one_sorted_str(X0)
| empty_carrier(X0)
| ~ subset(X2,the_carrier(X0)) ),
inference(resolution,[],[f621,f527]) ).
fof(f2080,plain,
! [X2,X0,X1] :
( ~ is_eventually_in(X0,X1,X2)
| in(X2,a_2_1_yellow19(X0,X1))
| ~ net_str(X1,X0)
| empty_carrier(X1)
| ~ one_sorted_str(X0)
| empty_carrier(X0)
| ~ in(X2,sK22(the_carrier(X0))) ),
inference(resolution,[],[f621,f940]) ).
fof(f621,plain,
! [X2,X3,X1] :
( ~ element(X3,powerset(the_carrier(X1)))
| ~ is_eventually_in(X1,X2,X3)
| in(X3,a_2_1_yellow19(X1,X2))
| ~ net_str(X2,X1)
| empty_carrier(X2)
| ~ one_sorted_str(X1)
| empty_carrier(X1) ),
inference(equality_resolution,[],[f536]) ).
fof(f536,plain,
! [X2,X3,X0,X1] :
( in(X0,a_2_1_yellow19(X1,X2))
| ~ is_eventually_in(X1,X2,X3)
| X0 != X3
| ~ element(X3,powerset(the_carrier(X1)))
| ~ net_str(X2,X1)
| empty_carrier(X2)
| ~ one_sorted_str(X1)
| empty_carrier(X1) ),
inference(cnf_transformation,[],[f315]) ).
fof(f315,plain,
! [X0,X1,X2] :
( ( ( in(X0,a_2_1_yellow19(X1,X2))
| ! [X3] :
( ~ is_eventually_in(X1,X2,X3)
| X0 != X3
| ~ element(X3,powerset(the_carrier(X1))) ) )
& ( ( is_eventually_in(X1,X2,sK26(X0,X1,X2))
& sK26(X0,X1,X2) = X0
& element(sK26(X0,X1,X2),powerset(the_carrier(X1))) )
| ~ in(X0,a_2_1_yellow19(X1,X2)) ) )
| ~ net_str(X2,X1)
| empty_carrier(X2)
| ~ one_sorted_str(X1)
| empty_carrier(X1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK26])],[f313,f314]) ).
fof(f314,plain,
! [X0,X1,X2] :
( ? [X4] :
( is_eventually_in(X1,X2,X4)
& X0 = X4
& element(X4,powerset(the_carrier(X1))) )
=> ( is_eventually_in(X1,X2,sK26(X0,X1,X2))
& sK26(X0,X1,X2) = X0
& element(sK26(X0,X1,X2),powerset(the_carrier(X1))) ) ),
introduced(choice_axiom,[]) ).
fof(f313,plain,
! [X0,X1,X2] :
( ( ( in(X0,a_2_1_yellow19(X1,X2))
| ! [X3] :
( ~ is_eventually_in(X1,X2,X3)
| X0 != X3
| ~ element(X3,powerset(the_carrier(X1))) ) )
& ( ? [X4] :
( is_eventually_in(X1,X2,X4)
& X0 = X4
& element(X4,powerset(the_carrier(X1))) )
| ~ in(X0,a_2_1_yellow19(X1,X2)) ) )
| ~ net_str(X2,X1)
| empty_carrier(X2)
| ~ one_sorted_str(X1)
| empty_carrier(X1) ),
inference(rectify,[],[f312]) ).
fof(f312,plain,
! [X0,X1,X2] :
( ( ( in(X0,a_2_1_yellow19(X1,X2))
| ! [X3] :
( ~ is_eventually_in(X1,X2,X3)
| X0 != X3
| ~ element(X3,powerset(the_carrier(X1))) ) )
& ( ? [X3] :
( is_eventually_in(X1,X2,X3)
& X0 = X3
& element(X3,powerset(the_carrier(X1))) )
| ~ in(X0,a_2_1_yellow19(X1,X2)) ) )
| ~ net_str(X2,X1)
| empty_carrier(X2)
| ~ one_sorted_str(X1)
| empty_carrier(X1) ),
inference(nnf_transformation,[],[f251]) ).
fof(f251,plain,
! [X0,X1,X2] :
( ( in(X0,a_2_1_yellow19(X1,X2))
<=> ? [X3] :
( is_eventually_in(X1,X2,X3)
& X0 = X3
& element(X3,powerset(the_carrier(X1))) ) )
| ~ net_str(X2,X1)
| empty_carrier(X2)
| ~ one_sorted_str(X1)
| empty_carrier(X1) ),
inference(flattening,[],[f250]) ).
fof(f250,plain,
! [X0,X1,X2] :
( ( in(X0,a_2_1_yellow19(X1,X2))
<=> ? [X3] :
( is_eventually_in(X1,X2,X3)
& X0 = X3
& element(X3,powerset(the_carrier(X1))) ) )
| ~ net_str(X2,X1)
| empty_carrier(X2)
| ~ one_sorted_str(X1)
| empty_carrier(X1) ),
inference(ennf_transformation,[],[f61]) ).
fof(f61,axiom,
! [X0,X1,X2] :
( ( net_str(X2,X1)
& ~ empty_carrier(X2)
& one_sorted_str(X1)
& ~ empty_carrier(X1) )
=> ( in(X0,a_2_1_yellow19(X1,X2))
<=> ? [X3] :
( is_eventually_in(X1,X2,X3)
& X0 = X3
& element(X3,powerset(the_carrier(X1))) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fraenkel_a_2_1_yellow19) ).
fof(f2075,plain,
! [X0] :
( ~ empty(X0)
| empty_set = sK20(sK7(sK22(sK20(sK7(sK8(powerset(X0))))))) ),
inference(resolution,[],[f2051,f1086]) ).
fof(f2074,plain,
! [X0] :
( ~ empty(X0)
| empty_set = sK20(sK7(powerset(sK20(sK7(sK8(powerset(X0))))))) ),
inference(resolution,[],[f2051,f1070]) ).
fof(f2073,plain,
! [X0] :
( ~ empty(X0)
| empty_set = sK20(sK22(sK20(sK7(sK8(powerset(X0)))))) ),
inference(resolution,[],[f2051,f971]) ).
fof(f2072,plain,
! [X0] :
( ~ empty(X0)
| empty_set = sK20(powerset(sK20(powerset(sK20(sK7(sK8(powerset(X0)))))))) ),
inference(resolution,[],[f2051,f843]) ).
fof(f2071,plain,
! [X0] :
( ~ empty(X0)
| empty_set = sK20(powerset(sK20(sK7(sK8(powerset(X0)))))) ),
inference(resolution,[],[f2051,f841]) ).
fof(f2070,plain,
! [X0,X1] :
( ~ empty(X0)
| sK20(powerset(X1)) = sK20(sK7(sK8(powerset(X0))))
| ~ empty(X1) ),
inference(resolution,[],[f2051,f840]) ).
fof(f2069,plain,
! [X0,X1] :
( ~ empty(X0)
| sK20(sK7(sK8(powerset(X0)))) = X1
| ~ empty(X1) ),
inference(resolution,[],[f2051,f528]) ).
fof(f2068,plain,
! [X0] :
( ~ empty(X0)
| empty_set = sK20(sK7(sK8(powerset(X0)))) ),
inference(resolution,[],[f2051,f430]) ).
fof(f2051,plain,
! [X0] :
( empty(sK20(sK7(sK8(powerset(X0)))))
| ~ empty(X0) ),
inference(resolution,[],[f1308,f747]) ).
fof(f2067,plain,
! [X0,X1] :
( ~ empty(X0)
| in(sK23(X1,sK20(sK7(sK8(powerset(X0))))),X1)
| sK20(sK7(sK8(powerset(X0)))) = X1 ),
inference(resolution,[],[f1308,f525]) ).
fof(f2064,plain,
! [X0,X1] :
( ~ empty(X0)
| in(sK23(sK20(sK7(sK8(powerset(X0)))),X1),X1)
| sK20(sK7(sK8(powerset(X0)))) = X1 ),
inference(resolution,[],[f1308,f525]) ).
fof(f2063,plain,
! [X0] :
( ~ empty(X0)
| empty(sK20(sK7(sK8(powerset(X0))))) ),
inference(resolution,[],[f1308,f1631]) ).
fof(f2062,plain,
! [X0] :
( ~ empty(X0)
| empty(sK20(sK7(sK8(powerset(X0))))) ),
inference(resolution,[],[f1308,f1623]) ).
fof(f2061,plain,
! [X0] :
( ~ empty(X0)
| empty(sK20(sK7(sK8(powerset(X0))))) ),
inference(resolution,[],[f1308,f1615]) ).
fof(f2060,plain,
! [X0] :
( ~ empty(X0)
| empty(sK20(sK7(sK8(powerset(X0))))) ),
inference(resolution,[],[f1308,f1525]) ).
fof(f2059,plain,
! [X0] :
( ~ empty(X0)
| empty(sK20(sK7(sK8(powerset(X0))))) ),
inference(resolution,[],[f1308,f1607]) ).
fof(f2058,plain,
! [X0] :
( ~ empty(X0)
| empty(sK20(sK7(sK8(powerset(X0))))) ),
inference(resolution,[],[f1308,f1322]) ).
fof(f2057,plain,
! [X0] :
( ~ empty(X0)
| empty(sK20(sK7(sK8(powerset(X0))))) ),
inference(resolution,[],[f1308,f1314]) ).
fof(f2056,plain,
! [X0] :
( ~ empty(X0)
| empty(sK20(sK7(sK8(powerset(X0))))) ),
inference(resolution,[],[f1308,f1176]) ).
fof(f2055,plain,
! [X0] :
( ~ empty(X0)
| empty(sK20(sK7(sK8(powerset(X0))))) ),
inference(resolution,[],[f1308,f1599]) ).
fof(f2054,plain,
! [X0] :
( ~ empty(X0)
| empty(sK20(sK7(sK8(powerset(X0))))) ),
inference(resolution,[],[f1308,f1306]) ).
fof(f2053,plain,
! [X0] :
( ~ empty(X0)
| empty(sK20(sK7(sK8(powerset(X0))))) ),
inference(resolution,[],[f1308,f1075]) ).
fof(f2052,plain,
! [X0] :
( ~ empty(X0)
| empty(sK20(sK7(sK8(powerset(X0))))) ),
inference(resolution,[],[f1308,f1036]) ).
fof(f1308,plain,
! [X0,X1] :
( ~ in(X1,sK20(sK7(sK8(powerset(X0)))))
| ~ empty(X0) ),
inference(subsumption_resolution,[],[f1303,f354]) ).
fof(f1303,plain,
! [X0,X1] :
( empty(powerset(X0))
| ~ empty(X0)
| ~ in(X1,sK20(sK7(sK8(powerset(X0))))) ),
inference(resolution,[],[f1170,f540]) ).
fof(f2050,plain,
! [X2,X0,X1] :
( ~ in(X0,a_2_1_yellow19(X1,X2))
| ~ net_str(X2,X1)
| empty_carrier(X2)
| ~ one_sorted_str(X1)
| empty_carrier(X1)
| in(sK26(X0,X1,X2),powerset(the_carrier(X1))) ),
inference(subsumption_resolution,[],[f2049,f354]) ).
fof(f2049,plain,
! [X2,X0,X1] :
( ~ in(X0,a_2_1_yellow19(X1,X2))
| ~ net_str(X2,X1)
| empty_carrier(X2)
| ~ one_sorted_str(X1)
| empty_carrier(X1)
| empty(powerset(the_carrier(X1)))
| in(sK26(X0,X1,X2),powerset(the_carrier(X1))) ),
inference(resolution,[],[f533,f517]) ).
fof(f2048,plain,
! [X2,X0,X1] :
( ~ in(X0,a_2_1_yellow19(X1,X2))
| ~ net_str(X2,X1)
| empty_carrier(X2)
| ~ one_sorted_str(X1)
| empty_carrier(X1)
| finite(sK26(X0,X1,X2))
| ~ finite(the_carrier(X1)) ),
inference(resolution,[],[f533,f428]) ).
fof(f2046,plain,
! [X2,X3,X0,X1] :
( ~ in(X0,a_2_1_yellow19(X1,X2))
| ~ net_str(X2,X1)
| empty_carrier(X2)
| ~ one_sorted_str(X1)
| empty_carrier(X1)
| element(X3,the_carrier(X1))
| ~ in(X3,sK26(X0,X1,X2)) ),
inference(resolution,[],[f533,f537]) ).
fof(f533,plain,
! [X2,X0,X1] :
( element(sK26(X0,X1,X2),powerset(the_carrier(X1)))
| ~ in(X0,a_2_1_yellow19(X1,X2))
| ~ net_str(X2,X1)
| empty_carrier(X2)
| ~ one_sorted_str(X1)
| empty_carrier(X1) ),
inference(cnf_transformation,[],[f315]) ).
fof(f535,plain,
! [X2,X0,X1] :
( is_eventually_in(X1,X2,sK26(X0,X1,X2))
| ~ in(X0,a_2_1_yellow19(X1,X2))
| ~ net_str(X2,X1)
| empty_carrier(X2)
| ~ one_sorted_str(X1)
| empty_carrier(X1) ),
inference(cnf_transformation,[],[f315]) ).
fof(f2041,plain,
! [X0] :
( ~ empty(X0)
| empty_set = sK20(sK7(sK22(sK20(sK7(sK7(powerset(X0))))))) ),
inference(resolution,[],[f2017,f1086]) ).
fof(f2040,plain,
! [X0] :
( ~ empty(X0)
| empty_set = sK20(sK7(powerset(sK20(sK7(sK7(powerset(X0))))))) ),
inference(resolution,[],[f2017,f1070]) ).
fof(f2039,plain,
! [X0] :
( ~ empty(X0)
| empty_set = sK20(sK22(sK20(sK7(sK7(powerset(X0)))))) ),
inference(resolution,[],[f2017,f971]) ).
fof(f2038,plain,
! [X0] :
( ~ empty(X0)
| empty_set = sK20(powerset(sK20(powerset(sK20(sK7(sK7(powerset(X0)))))))) ),
inference(resolution,[],[f2017,f843]) ).
fof(f2037,plain,
! [X0] :
( ~ empty(X0)
| empty_set = sK20(powerset(sK20(sK7(sK7(powerset(X0)))))) ),
inference(resolution,[],[f2017,f841]) ).
fof(f2036,plain,
! [X0,X1] :
( ~ empty(X0)
| sK20(powerset(X1)) = sK20(sK7(sK7(powerset(X0))))
| ~ empty(X1) ),
inference(resolution,[],[f2017,f840]) ).
fof(f2035,plain,
! [X0,X1] :
( ~ empty(X0)
| sK20(sK7(sK7(powerset(X0)))) = X1
| ~ empty(X1) ),
inference(resolution,[],[f2017,f528]) ).
fof(f2034,plain,
! [X0] :
( ~ empty(X0)
| empty_set = sK20(sK7(sK7(powerset(X0)))) ),
inference(resolution,[],[f2017,f430]) ).
fof(f2017,plain,
! [X0] :
( empty(sK20(sK7(sK7(powerset(X0)))))
| ~ empty(X0) ),
inference(resolution,[],[f1077,f747]) ).
fof(f2033,plain,
! [X0,X1] :
( ~ empty(X0)
| in(sK23(X1,sK20(sK7(sK7(powerset(X0))))),X1)
| sK20(sK7(sK7(powerset(X0)))) = X1 ),
inference(resolution,[],[f1077,f525]) ).
fof(f2030,plain,
! [X0,X1] :
( ~ empty(X0)
| in(sK23(sK20(sK7(sK7(powerset(X0)))),X1),X1)
| sK20(sK7(sK7(powerset(X0)))) = X1 ),
inference(resolution,[],[f1077,f525]) ).
fof(f2029,plain,
! [X0] :
( ~ empty(X0)
| empty(sK20(sK7(sK7(powerset(X0))))) ),
inference(resolution,[],[f1077,f1631]) ).
fof(f2028,plain,
! [X0] :
( ~ empty(X0)
| empty(sK20(sK7(sK7(powerset(X0))))) ),
inference(resolution,[],[f1077,f1623]) ).
fof(f2027,plain,
! [X0] :
( ~ empty(X0)
| empty(sK20(sK7(sK7(powerset(X0))))) ),
inference(resolution,[],[f1077,f1615]) ).
fof(f2026,plain,
! [X0] :
( ~ empty(X0)
| empty(sK20(sK7(sK7(powerset(X0))))) ),
inference(resolution,[],[f1077,f1525]) ).
fof(f2025,plain,
! [X0] :
( ~ empty(X0)
| empty(sK20(sK7(sK7(powerset(X0))))) ),
inference(resolution,[],[f1077,f1607]) ).
fof(f2024,plain,
! [X0] :
( ~ empty(X0)
| empty(sK20(sK7(sK7(powerset(X0))))) ),
inference(resolution,[],[f1077,f1322]) ).
fof(f2023,plain,
! [X0] :
( ~ empty(X0)
| empty(sK20(sK7(sK7(powerset(X0))))) ),
inference(resolution,[],[f1077,f1314]) ).
fof(f2022,plain,
! [X0] :
( ~ empty(X0)
| empty(sK20(sK7(sK7(powerset(X0))))) ),
inference(resolution,[],[f1077,f1176]) ).
fof(f2021,plain,
! [X0] :
( ~ empty(X0)
| empty(sK20(sK7(sK7(powerset(X0))))) ),
inference(resolution,[],[f1077,f1599]) ).
fof(f2020,plain,
! [X0] :
( ~ empty(X0)
| empty(sK20(sK7(sK7(powerset(X0))))) ),
inference(resolution,[],[f1077,f1306]) ).
fof(f2019,plain,
! [X0] :
( ~ empty(X0)
| empty(sK20(sK7(sK7(powerset(X0))))) ),
inference(resolution,[],[f1077,f1075]) ).
fof(f2018,plain,
! [X0] :
( ~ empty(X0)
| empty(sK20(sK7(sK7(powerset(X0))))) ),
inference(resolution,[],[f1077,f1036]) ).
fof(f1077,plain,
! [X0,X1] :
( ~ in(X1,sK20(sK7(sK7(powerset(X0)))))
| ~ empty(X0) ),
inference(subsumption_resolution,[],[f1072,f354]) ).
fof(f1072,plain,
! [X0,X1] :
( empty(powerset(X0))
| ~ empty(X0)
| ~ in(X1,sK20(sK7(sK7(powerset(X0))))) ),
inference(resolution,[],[f1056,f540]) ).
fof(f2015,plain,
! [X0,X1] :
( element(sK23(X0,sK20(sK9(powerset(X1)))),X1)
| in(sK23(X0,sK20(sK9(powerset(X1)))),X0)
| sK20(sK9(powerset(X1))) = X0 ),
inference(resolution,[],[f1526,f525]) ).
fof(f2012,plain,
! [X0,X1] :
( element(sK23(sK20(sK9(powerset(X0))),X1),X0)
| in(sK23(sK20(sK9(powerset(X0))),X1),X1)
| sK20(sK9(powerset(X0))) = X1 ),
inference(resolution,[],[f1526,f525]) ).
fof(f2011,plain,
! [X0] :
( element(sK20(sK9(sK9(sK20(sK9(powerset(X0)))))),X0)
| empty(sK20(sK9(powerset(X0)))) ),
inference(resolution,[],[f1526,f1631]) ).
fof(f2010,plain,
! [X0] :
( element(sK20(sK9(sK8(sK20(sK9(powerset(X0)))))),X0)
| empty(sK20(sK9(powerset(X0)))) ),
inference(resolution,[],[f1526,f1623]) ).
fof(f2009,plain,
! [X0] :
( element(sK20(sK9(sK7(sK20(sK9(powerset(X0)))))),X0)
| empty(sK20(sK9(powerset(X0)))) ),
inference(resolution,[],[f1526,f1615]) ).
fof(f2008,plain,
! [X0] :
( element(sK20(sK9(sK20(sK9(powerset(X0))))),X0)
| empty(sK20(sK9(powerset(X0)))) ),
inference(resolution,[],[f1526,f1525]) ).
fof(f2007,plain,
! [X0] :
( element(sK20(sK8(sK9(sK20(sK9(powerset(X0)))))),X0)
| empty(sK20(sK9(powerset(X0)))) ),
inference(resolution,[],[f1526,f1607]) ).
fof(f2006,plain,
! [X0] :
( element(sK20(sK8(sK8(sK20(sK9(powerset(X0)))))),X0)
| empty(sK20(sK9(powerset(X0)))) ),
inference(resolution,[],[f1526,f1322]) ).
fof(f2005,plain,
! [X0] :
( element(sK20(sK8(sK7(sK20(sK9(powerset(X0)))))),X0)
| empty(sK20(sK9(powerset(X0)))) ),
inference(resolution,[],[f1526,f1314]) ).
fof(f2004,plain,
! [X0] :
( element(sK20(sK8(sK20(sK9(powerset(X0))))),X0)
| empty(sK20(sK9(powerset(X0)))) ),
inference(resolution,[],[f1526,f1176]) ).
fof(f2003,plain,
! [X0] :
( element(sK20(sK7(sK9(sK20(sK9(powerset(X0)))))),X0)
| empty(sK20(sK9(powerset(X0)))) ),
inference(resolution,[],[f1526,f1599]) ).
fof(f2002,plain,
! [X0] :
( element(sK20(sK7(sK8(sK20(sK9(powerset(X0)))))),X0)
| empty(sK20(sK9(powerset(X0)))) ),
inference(resolution,[],[f1526,f1306]) ).
fof(f2001,plain,
! [X0] :
( element(sK20(sK7(sK7(sK20(sK9(powerset(X0)))))),X0)
| empty(sK20(sK9(powerset(X0)))) ),
inference(resolution,[],[f1526,f1075]) ).
fof(f2000,plain,
! [X0] :
( element(sK20(sK7(sK20(sK9(powerset(X0))))),X0)
| empty(sK20(sK9(powerset(X0)))) ),
inference(resolution,[],[f1526,f1036]) ).
fof(f1999,plain,
! [X0] :
( element(sK20(sK20(sK9(powerset(X0)))),X0)
| empty(sK20(sK9(powerset(X0)))) ),
inference(resolution,[],[f1526,f747]) ).
fof(f1526,plain,
! [X0,X1] :
( ~ in(X1,sK20(sK9(powerset(X0))))
| element(X1,X0) ),
inference(subsumption_resolution,[],[f1521,f354]) ).
fof(f1521,plain,
! [X0,X1] :
( empty(powerset(X0))
| element(X1,X0)
| ~ in(X1,sK20(sK9(powerset(X0)))) ),
inference(resolution,[],[f1514,f537]) ).
fof(f1997,plain,
! [X0,X1] :
( element(sK23(X0,sK20(sK8(powerset(X1)))),X1)
| in(sK23(X0,sK20(sK8(powerset(X1)))),X0)
| sK20(sK8(powerset(X1))) = X0 ),
inference(resolution,[],[f1177,f525]) ).
fof(f1994,plain,
! [X0,X1] :
( element(sK23(sK20(sK8(powerset(X0))),X1),X0)
| in(sK23(sK20(sK8(powerset(X0))),X1),X1)
| sK20(sK8(powerset(X0))) = X1 ),
inference(resolution,[],[f1177,f525]) ).
fof(f1993,plain,
! [X0] :
( element(sK20(sK9(sK9(sK20(sK8(powerset(X0)))))),X0)
| empty(sK20(sK8(powerset(X0)))) ),
inference(resolution,[],[f1177,f1631]) ).
fof(f1992,plain,
! [X0] :
( element(sK20(sK9(sK8(sK20(sK8(powerset(X0)))))),X0)
| empty(sK20(sK8(powerset(X0)))) ),
inference(resolution,[],[f1177,f1623]) ).
fof(f1991,plain,
! [X0] :
( element(sK20(sK9(sK7(sK20(sK8(powerset(X0)))))),X0)
| empty(sK20(sK8(powerset(X0)))) ),
inference(resolution,[],[f1177,f1615]) ).
fof(f1990,plain,
! [X0] :
( element(sK20(sK9(sK20(sK8(powerset(X0))))),X0)
| empty(sK20(sK8(powerset(X0)))) ),
inference(resolution,[],[f1177,f1525]) ).
fof(f1989,plain,
! [X0] :
( element(sK20(sK8(sK9(sK20(sK8(powerset(X0)))))),X0)
| empty(sK20(sK8(powerset(X0)))) ),
inference(resolution,[],[f1177,f1607]) ).
fof(f1988,plain,
! [X0] :
( element(sK20(sK8(sK8(sK20(sK8(powerset(X0)))))),X0)
| empty(sK20(sK8(powerset(X0)))) ),
inference(resolution,[],[f1177,f1322]) ).
fof(f1987,plain,
! [X0] :
( element(sK20(sK8(sK7(sK20(sK8(powerset(X0)))))),X0)
| empty(sK20(sK8(powerset(X0)))) ),
inference(resolution,[],[f1177,f1314]) ).
fof(f1986,plain,
! [X0] :
( element(sK20(sK8(sK20(sK8(powerset(X0))))),X0)
| empty(sK20(sK8(powerset(X0)))) ),
inference(resolution,[],[f1177,f1176]) ).
fof(f1985,plain,
! [X0] :
( element(sK20(sK7(sK9(sK20(sK8(powerset(X0)))))),X0)
| empty(sK20(sK8(powerset(X0)))) ),
inference(resolution,[],[f1177,f1599]) ).
fof(f1984,plain,
! [X0] :
( element(sK20(sK7(sK8(sK20(sK8(powerset(X0)))))),X0)
| empty(sK20(sK8(powerset(X0)))) ),
inference(resolution,[],[f1177,f1306]) ).
fof(f1983,plain,
! [X0] :
( element(sK20(sK7(sK7(sK20(sK8(powerset(X0)))))),X0)
| empty(sK20(sK8(powerset(X0)))) ),
inference(resolution,[],[f1177,f1075]) ).
fof(f1982,plain,
! [X0] :
( element(sK20(sK7(sK20(sK8(powerset(X0))))),X0)
| empty(sK20(sK8(powerset(X0)))) ),
inference(resolution,[],[f1177,f1036]) ).
fof(f1981,plain,
! [X0] :
( element(sK20(sK20(sK8(powerset(X0)))),X0)
| empty(sK20(sK8(powerset(X0)))) ),
inference(resolution,[],[f1177,f747]) ).
fof(f1177,plain,
! [X0,X1] :
( ~ in(X1,sK20(sK8(powerset(X0))))
| element(X1,X0) ),
inference(subsumption_resolution,[],[f1172,f354]) ).
fof(f1172,plain,
! [X0,X1] :
( empty(powerset(X0))
| element(X1,X0)
| ~ in(X1,sK20(sK8(powerset(X0)))) ),
inference(resolution,[],[f1169,f537]) ).
fof(f1979,plain,
! [X0,X1] :
( element(sK23(X0,sK20(sK7(powerset(X1)))),X1)
| in(sK23(X0,sK20(sK7(powerset(X1)))),X0)
| sK20(sK7(powerset(X1))) = X0 ),
inference(resolution,[],[f1037,f525]) ).
fof(f1976,plain,
! [X0,X1] :
( element(sK23(sK20(sK7(powerset(X0))),X1),X0)
| in(sK23(sK20(sK7(powerset(X0))),X1),X1)
| sK20(sK7(powerset(X0))) = X1 ),
inference(resolution,[],[f1037,f525]) ).
fof(f1975,plain,
! [X0] :
( element(sK20(sK9(sK9(sK20(sK7(powerset(X0)))))),X0)
| empty(sK20(sK7(powerset(X0)))) ),
inference(resolution,[],[f1037,f1631]) ).
fof(f1974,plain,
! [X0] :
( element(sK20(sK9(sK8(sK20(sK7(powerset(X0)))))),X0)
| empty(sK20(sK7(powerset(X0)))) ),
inference(resolution,[],[f1037,f1623]) ).
fof(f1973,plain,
! [X0] :
( element(sK20(sK9(sK7(sK20(sK7(powerset(X0)))))),X0)
| empty(sK20(sK7(powerset(X0)))) ),
inference(resolution,[],[f1037,f1615]) ).
fof(f1972,plain,
! [X0] :
( element(sK20(sK9(sK20(sK7(powerset(X0))))),X0)
| empty(sK20(sK7(powerset(X0)))) ),
inference(resolution,[],[f1037,f1525]) ).
fof(f1971,plain,
! [X0] :
( element(sK20(sK8(sK9(sK20(sK7(powerset(X0)))))),X0)
| empty(sK20(sK7(powerset(X0)))) ),
inference(resolution,[],[f1037,f1607]) ).
fof(f1970,plain,
! [X0] :
( element(sK20(sK8(sK8(sK20(sK7(powerset(X0)))))),X0)
| empty(sK20(sK7(powerset(X0)))) ),
inference(resolution,[],[f1037,f1322]) ).
fof(f1969,plain,
! [X0] :
( element(sK20(sK8(sK7(sK20(sK7(powerset(X0)))))),X0)
| empty(sK20(sK7(powerset(X0)))) ),
inference(resolution,[],[f1037,f1314]) ).
fof(f1968,plain,
! [X0] :
( element(sK20(sK8(sK20(sK7(powerset(X0))))),X0)
| empty(sK20(sK7(powerset(X0)))) ),
inference(resolution,[],[f1037,f1176]) ).
fof(f1967,plain,
! [X0] :
( element(sK20(sK7(sK9(sK20(sK7(powerset(X0)))))),X0)
| empty(sK20(sK7(powerset(X0)))) ),
inference(resolution,[],[f1037,f1599]) ).
fof(f1966,plain,
! [X0] :
( element(sK20(sK7(sK8(sK20(sK7(powerset(X0)))))),X0)
| empty(sK20(sK7(powerset(X0)))) ),
inference(resolution,[],[f1037,f1306]) ).
fof(f1965,plain,
! [X0] :
( element(sK20(sK7(sK7(sK20(sK7(powerset(X0)))))),X0)
| empty(sK20(sK7(powerset(X0)))) ),
inference(resolution,[],[f1037,f1075]) ).
fof(f1964,plain,
! [X0] :
( element(sK20(sK7(sK20(sK7(powerset(X0))))),X0)
| empty(sK20(sK7(powerset(X0)))) ),
inference(resolution,[],[f1037,f1036]) ).
fof(f1963,plain,
! [X0] :
( element(sK20(sK20(sK7(powerset(X0)))),X0)
| empty(sK20(sK7(powerset(X0)))) ),
inference(resolution,[],[f1037,f747]) ).
fof(f1037,plain,
! [X0,X1] :
( ~ in(X1,sK20(sK7(powerset(X0))))
| element(X1,X0) ),
inference(subsumption_resolution,[],[f1032,f354]) ).
fof(f1032,plain,
! [X0,X1] :
( empty(powerset(X0))
| element(X1,X0)
| ~ in(X1,sK20(sK7(powerset(X0)))) ),
inference(resolution,[],[f1031,f537]) ).
fof(f1953,plain,
! [X2,X0,X1] :
( ~ empty(X0)
| ~ in(X1,sK23(X2,sK22(X0)))
| in(sK23(X2,sK22(X0)),X2)
| sK22(X0) = X2 ),
inference(resolution,[],[f954,f525]) ).
fof(f1950,plain,
! [X2,X0,X1] :
( ~ empty(X0)
| ~ in(X1,sK23(sK22(X0),X2))
| in(sK23(sK22(X0),X2),X2)
| sK22(X0) = X2 ),
inference(resolution,[],[f954,f525]) ).
fof(f1962,plain,
! [X0,X1] :
( ~ empty(X0)
| ~ in(X1,sK20(sK9(sK9(sK22(X0))))) ),
inference(subsumption_resolution,[],[f1949,f512]) ).
fof(f1949,plain,
! [X0,X1] :
( ~ empty(X0)
| ~ in(X1,sK20(sK9(sK9(sK22(X0)))))
| empty(sK22(X0)) ),
inference(resolution,[],[f954,f1631]) ).
fof(f1961,plain,
! [X0,X1] :
( ~ empty(X0)
| ~ in(X1,sK20(sK9(sK8(sK22(X0))))) ),
inference(subsumption_resolution,[],[f1948,f512]) ).
fof(f1948,plain,
! [X0,X1] :
( ~ empty(X0)
| ~ in(X1,sK20(sK9(sK8(sK22(X0)))))
| empty(sK22(X0)) ),
inference(resolution,[],[f954,f1623]) ).
fof(f1960,plain,
! [X0,X1] :
( ~ empty(X0)
| ~ in(X1,sK20(sK9(sK7(sK22(X0))))) ),
inference(subsumption_resolution,[],[f1947,f512]) ).
fof(f1947,plain,
! [X0,X1] :
( ~ empty(X0)
| ~ in(X1,sK20(sK9(sK7(sK22(X0)))))
| empty(sK22(X0)) ),
inference(resolution,[],[f954,f1615]) ).
fof(f1959,plain,
! [X0,X1] :
( ~ empty(X0)
| ~ in(X1,sK20(sK8(sK9(sK22(X0))))) ),
inference(subsumption_resolution,[],[f1945,f512]) ).
fof(f1945,plain,
! [X0,X1] :
( ~ empty(X0)
| ~ in(X1,sK20(sK8(sK9(sK22(X0)))))
| empty(sK22(X0)) ),
inference(resolution,[],[f954,f1607]) ).
fof(f1958,plain,
! [X0,X1] :
( ~ empty(X0)
| ~ in(X1,sK20(sK8(sK8(sK22(X0))))) ),
inference(subsumption_resolution,[],[f1944,f512]) ).
fof(f1944,plain,
! [X0,X1] :
( ~ empty(X0)
| ~ in(X1,sK20(sK8(sK8(sK22(X0)))))
| empty(sK22(X0)) ),
inference(resolution,[],[f954,f1322]) ).
fof(f1957,plain,
! [X0,X1] :
( ~ empty(X0)
| ~ in(X1,sK20(sK8(sK7(sK22(X0))))) ),
inference(subsumption_resolution,[],[f1943,f512]) ).
fof(f1943,plain,
! [X0,X1] :
( ~ empty(X0)
| ~ in(X1,sK20(sK8(sK7(sK22(X0)))))
| empty(sK22(X0)) ),
inference(resolution,[],[f954,f1314]) ).
fof(f954,plain,
! [X2,X0,X1] :
( ~ in(X0,sK22(X1))
| ~ empty(X1)
| ~ in(X2,X0) ),
inference(resolution,[],[f940,f540]) ).
fof(f1935,plain,
! [X0] :
( sK23(X0,filter_of_net_str(sK4,sK5)) = sK26(sK23(X0,filter_of_net_str(sK4,sK5)),sK4,sK5)
| in(sK23(X0,filter_of_net_str(sK4,sK5)),X0)
| filter_of_net_str(sK4,sK5) = X0 ),
inference(resolution,[],[f1918,f525]) ).
fof(f1932,plain,
! [X0] :
( sK23(filter_of_net_str(sK4,sK5),X0) = sK26(sK23(filter_of_net_str(sK4,sK5),X0),sK4,sK5)
| in(sK23(filter_of_net_str(sK4,sK5),X0),X0)
| filter_of_net_str(sK4,sK5) = X0 ),
inference(resolution,[],[f1918,f525]) ).
fof(f1931,plain,
( sK20(sK9(sK9(filter_of_net_str(sK4,sK5)))) = sK26(sK20(sK9(sK9(filter_of_net_str(sK4,sK5)))),sK4,sK5)
| empty(filter_of_net_str(sK4,sK5)) ),
inference(resolution,[],[f1918,f1631]) ).
fof(f1930,plain,
( sK20(sK9(sK8(filter_of_net_str(sK4,sK5)))) = sK26(sK20(sK9(sK8(filter_of_net_str(sK4,sK5)))),sK4,sK5)
| empty(filter_of_net_str(sK4,sK5)) ),
inference(resolution,[],[f1918,f1623]) ).
fof(f1929,plain,
( sK20(sK9(sK7(filter_of_net_str(sK4,sK5)))) = sK26(sK20(sK9(sK7(filter_of_net_str(sK4,sK5)))),sK4,sK5)
| empty(filter_of_net_str(sK4,sK5)) ),
inference(resolution,[],[f1918,f1615]) ).
fof(f1928,plain,
( sK20(sK9(filter_of_net_str(sK4,sK5))) = sK26(sK20(sK9(filter_of_net_str(sK4,sK5))),sK4,sK5)
| empty(filter_of_net_str(sK4,sK5)) ),
inference(resolution,[],[f1918,f1525]) ).
fof(f1927,plain,
( sK20(sK8(sK9(filter_of_net_str(sK4,sK5)))) = sK26(sK20(sK8(sK9(filter_of_net_str(sK4,sK5)))),sK4,sK5)
| empty(filter_of_net_str(sK4,sK5)) ),
inference(resolution,[],[f1918,f1607]) ).
fof(f1926,plain,
( sK20(sK8(sK8(filter_of_net_str(sK4,sK5)))) = sK26(sK20(sK8(sK8(filter_of_net_str(sK4,sK5)))),sK4,sK5)
| empty(filter_of_net_str(sK4,sK5)) ),
inference(resolution,[],[f1918,f1322]) ).
fof(f1925,plain,
( sK20(sK8(sK7(filter_of_net_str(sK4,sK5)))) = sK26(sK20(sK8(sK7(filter_of_net_str(sK4,sK5)))),sK4,sK5)
| empty(filter_of_net_str(sK4,sK5)) ),
inference(resolution,[],[f1918,f1314]) ).
fof(f1924,plain,
( sK20(sK8(filter_of_net_str(sK4,sK5))) = sK26(sK20(sK8(filter_of_net_str(sK4,sK5))),sK4,sK5)
| empty(filter_of_net_str(sK4,sK5)) ),
inference(resolution,[],[f1918,f1176]) ).
fof(f1923,plain,
( sK20(sK7(sK9(filter_of_net_str(sK4,sK5)))) = sK26(sK20(sK7(sK9(filter_of_net_str(sK4,sK5)))),sK4,sK5)
| empty(filter_of_net_str(sK4,sK5)) ),
inference(resolution,[],[f1918,f1599]) ).
fof(f1922,plain,
( sK20(sK7(sK8(filter_of_net_str(sK4,sK5)))) = sK26(sK20(sK7(sK8(filter_of_net_str(sK4,sK5)))),sK4,sK5)
| empty(filter_of_net_str(sK4,sK5)) ),
inference(resolution,[],[f1918,f1306]) ).
fof(f1921,plain,
( sK20(sK7(sK7(filter_of_net_str(sK4,sK5)))) = sK26(sK20(sK7(sK7(filter_of_net_str(sK4,sK5)))),sK4,sK5)
| empty(filter_of_net_str(sK4,sK5)) ),
inference(resolution,[],[f1918,f1075]) ).
fof(f1920,plain,
( sK20(sK7(filter_of_net_str(sK4,sK5))) = sK26(sK20(sK7(filter_of_net_str(sK4,sK5))),sK4,sK5)
| empty(filter_of_net_str(sK4,sK5)) ),
inference(resolution,[],[f1918,f1036]) ).
fof(f1919,plain,
( sK20(filter_of_net_str(sK4,sK5)) = sK26(sK20(filter_of_net_str(sK4,sK5)),sK4,sK5)
| empty(filter_of_net_str(sK4,sK5)) ),
inference(resolution,[],[f1918,f747]) ).
fof(f1918,plain,
! [X0] :
( ~ in(X0,filter_of_net_str(sK4,sK5))
| sK26(X0,sK4,sK5) = X0 ),
inference(subsumption_resolution,[],[f1917,f345]) ).
fof(f1917,plain,
! [X0] :
( ~ in(X0,filter_of_net_str(sK4,sK5))
| sK26(X0,sK4,sK5) = X0
| empty_carrier(sK4) ),
inference(subsumption_resolution,[],[f1916,f346]) ).
fof(f1916,plain,
! [X0] :
( ~ in(X0,filter_of_net_str(sK4,sK5))
| sK26(X0,sK4,sK5) = X0
| ~ one_sorted_str(sK4)
| empty_carrier(sK4) ),
inference(subsumption_resolution,[],[f1915,f347]) ).
fof(f1915,plain,
! [X0] :
( ~ in(X0,filter_of_net_str(sK4,sK5))
| sK26(X0,sK4,sK5) = X0
| empty_carrier(sK5)
| ~ one_sorted_str(sK4)
| empty_carrier(sK4) ),
inference(subsumption_resolution,[],[f1914,f348]) ).
fof(f1914,plain,
! [X0] :
( ~ in(X0,filter_of_net_str(sK4,sK5))
| sK26(X0,sK4,sK5) = X0
| ~ net_str(sK5,sK4)
| empty_carrier(sK5)
| ~ one_sorted_str(sK4)
| empty_carrier(sK4) ),
inference(superposition,[],[f534,f1665]) ).
fof(f1895,plain,
! [X0] : ~ in(powerset(X0),sK20(sK9(sK9(sK22(X0))))),
inference(resolution,[],[f1833,f515]) ).
fof(f1886,plain,
! [X0] : ~ in(powerset(X0),sK20(sK9(sK8(sK22(X0))))),
inference(resolution,[],[f1804,f515]) ).
fof(f1913,plain,
! [X2,X0,X1] :
( sK23(X0,a_2_1_yellow19(X1,X2)) = sK26(sK23(X0,a_2_1_yellow19(X1,X2)),X1,X2)
| ~ net_str(X2,X1)
| empty_carrier(X2)
| ~ one_sorted_str(X1)
| empty_carrier(X1)
| in(sK23(X0,a_2_1_yellow19(X1,X2)),X0)
| a_2_1_yellow19(X1,X2) = X0 ),
inference(resolution,[],[f534,f525]) ).
fof(f1910,plain,
! [X2,X0,X1] :
( sK23(a_2_1_yellow19(X0,X1),X2) = sK26(sK23(a_2_1_yellow19(X0,X1),X2),X0,X1)
| ~ net_str(X1,X0)
| empty_carrier(X1)
| ~ one_sorted_str(X0)
| empty_carrier(X0)
| in(sK23(a_2_1_yellow19(X0,X1),X2),X2)
| a_2_1_yellow19(X0,X1) = X2 ),
inference(resolution,[],[f534,f525]) ).
fof(f1909,plain,
! [X0,X1] :
( sK20(sK9(sK9(a_2_1_yellow19(X0,X1)))) = sK26(sK20(sK9(sK9(a_2_1_yellow19(X0,X1)))),X0,X1)
| ~ net_str(X1,X0)
| empty_carrier(X1)
| ~ one_sorted_str(X0)
| empty_carrier(X0)
| empty(a_2_1_yellow19(X0,X1)) ),
inference(resolution,[],[f534,f1631]) ).
fof(f1908,plain,
! [X0,X1] :
( sK20(sK9(sK8(a_2_1_yellow19(X0,X1)))) = sK26(sK20(sK9(sK8(a_2_1_yellow19(X0,X1)))),X0,X1)
| ~ net_str(X1,X0)
| empty_carrier(X1)
| ~ one_sorted_str(X0)
| empty_carrier(X0)
| empty(a_2_1_yellow19(X0,X1)) ),
inference(resolution,[],[f534,f1623]) ).
fof(f1907,plain,
! [X0,X1] :
( sK20(sK9(sK7(a_2_1_yellow19(X0,X1)))) = sK26(sK20(sK9(sK7(a_2_1_yellow19(X0,X1)))),X0,X1)
| ~ net_str(X1,X0)
| empty_carrier(X1)
| ~ one_sorted_str(X0)
| empty_carrier(X0)
| empty(a_2_1_yellow19(X0,X1)) ),
inference(resolution,[],[f534,f1615]) ).
fof(f1906,plain,
! [X0,X1] :
( sK20(sK9(a_2_1_yellow19(X0,X1))) = sK26(sK20(sK9(a_2_1_yellow19(X0,X1))),X0,X1)
| ~ net_str(X1,X0)
| empty_carrier(X1)
| ~ one_sorted_str(X0)
| empty_carrier(X0)
| empty(a_2_1_yellow19(X0,X1)) ),
inference(resolution,[],[f534,f1525]) ).
fof(f1905,plain,
! [X0,X1] :
( sK20(sK8(sK9(a_2_1_yellow19(X0,X1)))) = sK26(sK20(sK8(sK9(a_2_1_yellow19(X0,X1)))),X0,X1)
| ~ net_str(X1,X0)
| empty_carrier(X1)
| ~ one_sorted_str(X0)
| empty_carrier(X0)
| empty(a_2_1_yellow19(X0,X1)) ),
inference(resolution,[],[f534,f1607]) ).
fof(f1904,plain,
! [X0,X1] :
( sK20(sK8(sK8(a_2_1_yellow19(X0,X1)))) = sK26(sK20(sK8(sK8(a_2_1_yellow19(X0,X1)))),X0,X1)
| ~ net_str(X1,X0)
| empty_carrier(X1)
| ~ one_sorted_str(X0)
| empty_carrier(X0)
| empty(a_2_1_yellow19(X0,X1)) ),
inference(resolution,[],[f534,f1322]) ).
fof(f1903,plain,
! [X0,X1] :
( sK20(sK8(sK7(a_2_1_yellow19(X0,X1)))) = sK26(sK20(sK8(sK7(a_2_1_yellow19(X0,X1)))),X0,X1)
| ~ net_str(X1,X0)
| empty_carrier(X1)
| ~ one_sorted_str(X0)
| empty_carrier(X0)
| empty(a_2_1_yellow19(X0,X1)) ),
inference(resolution,[],[f534,f1314]) ).
fof(f1902,plain,
! [X0,X1] :
( sK20(sK8(a_2_1_yellow19(X0,X1))) = sK26(sK20(sK8(a_2_1_yellow19(X0,X1))),X0,X1)
| ~ net_str(X1,X0)
| empty_carrier(X1)
| ~ one_sorted_str(X0)
| empty_carrier(X0)
| empty(a_2_1_yellow19(X0,X1)) ),
inference(resolution,[],[f534,f1176]) ).
fof(f1901,plain,
! [X0,X1] :
( sK20(sK7(sK9(a_2_1_yellow19(X0,X1)))) = sK26(sK20(sK7(sK9(a_2_1_yellow19(X0,X1)))),X0,X1)
| ~ net_str(X1,X0)
| empty_carrier(X1)
| ~ one_sorted_str(X0)
| empty_carrier(X0)
| empty(a_2_1_yellow19(X0,X1)) ),
inference(resolution,[],[f534,f1599]) ).
fof(f1900,plain,
! [X0,X1] :
( sK20(sK7(sK8(a_2_1_yellow19(X0,X1)))) = sK26(sK20(sK7(sK8(a_2_1_yellow19(X0,X1)))),X0,X1)
| ~ net_str(X1,X0)
| empty_carrier(X1)
| ~ one_sorted_str(X0)
| empty_carrier(X0)
| empty(a_2_1_yellow19(X0,X1)) ),
inference(resolution,[],[f534,f1306]) ).
fof(f1899,plain,
! [X0,X1] :
( sK20(sK7(sK7(a_2_1_yellow19(X0,X1)))) = sK26(sK20(sK7(sK7(a_2_1_yellow19(X0,X1)))),X0,X1)
| ~ net_str(X1,X0)
| empty_carrier(X1)
| ~ one_sorted_str(X0)
| empty_carrier(X0)
| empty(a_2_1_yellow19(X0,X1)) ),
inference(resolution,[],[f534,f1075]) ).
fof(f1898,plain,
! [X0,X1] :
( sK20(sK7(a_2_1_yellow19(X0,X1))) = sK26(sK20(sK7(a_2_1_yellow19(X0,X1))),X0,X1)
| ~ net_str(X1,X0)
| empty_carrier(X1)
| ~ one_sorted_str(X0)
| empty_carrier(X0)
| empty(a_2_1_yellow19(X0,X1)) ),
inference(resolution,[],[f534,f1036]) ).
fof(f1897,plain,
! [X0,X1] :
( sK20(a_2_1_yellow19(X0,X1)) = sK26(sK20(a_2_1_yellow19(X0,X1)),X0,X1)
| ~ net_str(X1,X0)
| empty_carrier(X1)
| ~ one_sorted_str(X0)
| empty_carrier(X0)
| empty(a_2_1_yellow19(X0,X1)) ),
inference(resolution,[],[f534,f747]) ).
fof(f534,plain,
! [X2,X0,X1] :
( ~ in(X0,a_2_1_yellow19(X1,X2))
| sK26(X0,X1,X2) = X0
| ~ net_str(X2,X1)
| empty_carrier(X2)
| ~ one_sorted_str(X1)
| empty_carrier(X1) ),
inference(cnf_transformation,[],[f315]) ).
fof(f1882,plain,
! [X0] : ~ in(powerset(X0),sK20(sK9(sK7(sK22(X0))))),
inference(resolution,[],[f1775,f515]) ).
fof(f1878,plain,
! [X0] : ~ in(powerset(X0),sK20(sK8(sK9(sK22(X0))))),
inference(resolution,[],[f1746,f515]) ).
fof(f1869,plain,
! [X0] : ~ in(powerset(X0),sK20(sK7(sK9(sK22(X0))))),
inference(resolution,[],[f1717,f515]) ).
fof(f1834,plain,
! [X0] :
( finite(sK20(sK9(sK9(sK22(X0)))))
| ~ finite(X0) ),
inference(subsumption_resolution,[],[f1827,f512]) ).
fof(f1827,plain,
! [X0] :
( empty(sK22(X0))
| finite(sK20(sK9(sK9(sK22(X0)))))
| ~ finite(X0) ),
inference(resolution,[],[f1631,f955]) ).
fof(f1894,plain,
! [X0] :
( ~ finite(X0)
| finite(sK20(sK9(sK9(sK22(X0))))) ),
inference(resolution,[],[f1833,f682]) ).
fof(f1893,plain,
! [X0,X1] :
( ~ in(X0,sK20(sK9(sK9(sK22(X1)))))
| ~ empty(X1) ),
inference(resolution,[],[f1833,f808]) ).
fof(f1833,plain,
! [X0] : in(sK20(sK9(sK9(sK22(X0)))),powerset(X0)),
inference(subsumption_resolution,[],[f1826,f512]) ).
fof(f1826,plain,
! [X0] :
( empty(sK22(X0))
| in(sK20(sK9(sK9(sK22(X0)))),powerset(X0)) ),
inference(resolution,[],[f1631,f957]) ).
fof(f1806,plain,
! [X0] :
( ~ in(X0,sK20(sK9(sK9(X0))))
| empty(X0) ),
inference(resolution,[],[f1631,f515]) ).
fof(f1892,plain,
! [X0,X1] :
( ~ net_str(X0,X1)
| empty_carrier(X0)
| ~ one_sorted_str(X1)
| empty_carrier(X1)
| in(filter_of_net_str(X1,X0),powerset(the_carrier(boole_POSet(cast_as_carrier_subset(X1))))) ),
inference(subsumption_resolution,[],[f1891,f354]) ).
fof(f1891,plain,
! [X0,X1] :
( ~ net_str(X0,X1)
| empty_carrier(X0)
| ~ one_sorted_str(X1)
| empty_carrier(X1)
| empty(powerset(the_carrier(boole_POSet(cast_as_carrier_subset(X1)))))
| in(filter_of_net_str(X1,X0),powerset(the_carrier(boole_POSet(cast_as_carrier_subset(X1))))) ),
inference(resolution,[],[f523,f517]) ).
fof(f1890,plain,
! [X0,X1] :
( ~ net_str(X0,X1)
| empty_carrier(X0)
| ~ one_sorted_str(X1)
| empty_carrier(X1)
| finite(filter_of_net_str(X1,X0))
| ~ finite(the_carrier(boole_POSet(cast_as_carrier_subset(X1)))) ),
inference(resolution,[],[f523,f428]) ).
fof(f1889,plain,
! [X2,X0,X1] :
( ~ net_str(X0,X1)
| empty_carrier(X0)
| ~ one_sorted_str(X1)
| empty_carrier(X1)
| ~ empty(the_carrier(boole_POSet(cast_as_carrier_subset(X1))))
| ~ in(X2,filter_of_net_str(X1,X0)) ),
inference(resolution,[],[f523,f540]) ).
fof(f1888,plain,
! [X2,X0,X1] :
( ~ net_str(X0,X1)
| empty_carrier(X0)
| ~ one_sorted_str(X1)
| empty_carrier(X1)
| element(X2,the_carrier(boole_POSet(cast_as_carrier_subset(X1))))
| ~ in(X2,filter_of_net_str(X1,X0)) ),
inference(resolution,[],[f523,f537]) ).
fof(f523,plain,
! [X0,X1] :
( element(filter_of_net_str(X0,X1),powerset(the_carrier(boole_POSet(cast_as_carrier_subset(X0)))))
| ~ net_str(X1,X0)
| empty_carrier(X1)
| ~ one_sorted_str(X0)
| empty_carrier(X0) ),
inference(cnf_transformation,[],[f242]) ).
fof(f242,plain,
! [X0,X1] :
( element(filter_of_net_str(X0,X1),powerset(the_carrier(boole_POSet(cast_as_carrier_subset(X0)))))
| ~ net_str(X1,X0)
| empty_carrier(X1)
| ~ one_sorted_str(X0)
| empty_carrier(X0) ),
inference(flattening,[],[f241]) ).
fof(f241,plain,
! [X0,X1] :
( element(filter_of_net_str(X0,X1),powerset(the_carrier(boole_POSet(cast_as_carrier_subset(X0)))))
| ~ net_str(X1,X0)
| empty_carrier(X1)
| ~ one_sorted_str(X0)
| empty_carrier(X0) ),
inference(ennf_transformation,[],[f26]) ).
fof(f26,axiom,
! [X0,X1] :
( ( net_str(X1,X0)
& ~ empty_carrier(X1)
& one_sorted_str(X0)
& ~ empty_carrier(X0) )
=> element(filter_of_net_str(X0,X1),powerset(the_carrier(boole_POSet(cast_as_carrier_subset(X0))))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k2_yellow19) ).
fof(f1805,plain,
! [X0] :
( finite(sK20(sK9(sK8(sK22(X0)))))
| ~ finite(X0) ),
inference(subsumption_resolution,[],[f1798,f512]) ).
fof(f1798,plain,
! [X0] :
( empty(sK22(X0))
| finite(sK20(sK9(sK8(sK22(X0)))))
| ~ finite(X0) ),
inference(resolution,[],[f1623,f955]) ).
fof(f1885,plain,
! [X0] :
( ~ finite(X0)
| finite(sK20(sK9(sK8(sK22(X0))))) ),
inference(resolution,[],[f1804,f682]) ).
fof(f1884,plain,
! [X0,X1] :
( ~ in(X0,sK20(sK9(sK8(sK22(X1)))))
| ~ empty(X1) ),
inference(resolution,[],[f1804,f808]) ).
fof(f1804,plain,
! [X0] : in(sK20(sK9(sK8(sK22(X0)))),powerset(X0)),
inference(subsumption_resolution,[],[f1797,f512]) ).
fof(f1797,plain,
! [X0] :
( empty(sK22(X0))
| in(sK20(sK9(sK8(sK22(X0)))),powerset(X0)) ),
inference(resolution,[],[f1623,f957]) ).
fof(f1777,plain,
! [X0] :
( ~ in(X0,sK20(sK9(sK8(X0))))
| empty(X0) ),
inference(resolution,[],[f1623,f515]) ).
fof(f1776,plain,
! [X0] :
( finite(sK20(sK9(sK7(sK22(X0)))))
| ~ finite(X0) ),
inference(subsumption_resolution,[],[f1769,f512]) ).
fof(f1769,plain,
! [X0] :
( empty(sK22(X0))
| finite(sK20(sK9(sK7(sK22(X0)))))
| ~ finite(X0) ),
inference(resolution,[],[f1615,f955]) ).
fof(f1881,plain,
! [X0] :
( ~ finite(X0)
| finite(sK20(sK9(sK7(sK22(X0))))) ),
inference(resolution,[],[f1775,f682]) ).
fof(f1880,plain,
! [X0,X1] :
( ~ in(X0,sK20(sK9(sK7(sK22(X1)))))
| ~ empty(X1) ),
inference(resolution,[],[f1775,f808]) ).
fof(f1775,plain,
! [X0] : in(sK20(sK9(sK7(sK22(X0)))),powerset(X0)),
inference(subsumption_resolution,[],[f1768,f512]) ).
fof(f1768,plain,
! [X0] :
( empty(sK22(X0))
| in(sK20(sK9(sK7(sK22(X0)))),powerset(X0)) ),
inference(resolution,[],[f1615,f957]) ).
fof(f1748,plain,
! [X0] :
( ~ in(X0,sK20(sK9(sK7(X0))))
| empty(X0) ),
inference(resolution,[],[f1615,f515]) ).
fof(f1747,plain,
! [X0] :
( finite(sK20(sK8(sK9(sK22(X0)))))
| ~ finite(X0) ),
inference(subsumption_resolution,[],[f1740,f512]) ).
fof(f1740,plain,
! [X0] :
( empty(sK22(X0))
| finite(sK20(sK8(sK9(sK22(X0)))))
| ~ finite(X0) ),
inference(resolution,[],[f1607,f955]) ).
fof(f1877,plain,
! [X0] :
( ~ finite(X0)
| finite(sK20(sK8(sK9(sK22(X0))))) ),
inference(resolution,[],[f1746,f682]) ).
fof(f1876,plain,
! [X0,X1] :
( ~ in(X0,sK20(sK8(sK9(sK22(X1)))))
| ~ empty(X1) ),
inference(resolution,[],[f1746,f808]) ).
fof(f1746,plain,
! [X0] : in(sK20(sK8(sK9(sK22(X0)))),powerset(X0)),
inference(subsumption_resolution,[],[f1739,f512]) ).
fof(f1739,plain,
! [X0] :
( empty(sK22(X0))
| in(sK20(sK8(sK9(sK22(X0)))),powerset(X0)) ),
inference(resolution,[],[f1607,f957]) ).
fof(f1875,plain,
! [X0] :
( ~ rel_str(X0)
| ~ with_infima_relstr(X0)
| ~ with_suprema_relstr(X0)
| ~ antisymmetric_relstr(X0)
| ~ transitive_relstr(X0)
| ~ reflexive_relstr(X0)
| in(sK19(X0),powerset(the_carrier(X0))) ),
inference(subsumption_resolution,[],[f1874,f354]) ).
fof(f1874,plain,
! [X0] :
( ~ rel_str(X0)
| ~ with_infima_relstr(X0)
| ~ with_suprema_relstr(X0)
| ~ antisymmetric_relstr(X0)
| ~ transitive_relstr(X0)
| ~ reflexive_relstr(X0)
| empty(powerset(the_carrier(X0)))
| in(sK19(X0),powerset(the_carrier(X0))) ),
inference(resolution,[],[f506,f517]) ).
fof(f1873,plain,
! [X0] :
( ~ rel_str(X0)
| ~ with_infima_relstr(X0)
| ~ with_suprema_relstr(X0)
| ~ antisymmetric_relstr(X0)
| ~ transitive_relstr(X0)
| ~ reflexive_relstr(X0)
| finite(sK19(X0))
| ~ finite(the_carrier(X0)) ),
inference(resolution,[],[f506,f428]) ).
fof(f1871,plain,
! [X0,X1] :
( ~ rel_str(X0)
| ~ with_infima_relstr(X0)
| ~ with_suprema_relstr(X0)
| ~ antisymmetric_relstr(X0)
| ~ transitive_relstr(X0)
| ~ reflexive_relstr(X0)
| element(X1,the_carrier(X0))
| ~ in(X1,sK19(X0)) ),
inference(resolution,[],[f506,f537]) ).
fof(f506,plain,
! [X0] :
( element(sK19(X0),powerset(the_carrier(X0)))
| ~ rel_str(X0)
| ~ with_infima_relstr(X0)
| ~ with_suprema_relstr(X0)
| ~ antisymmetric_relstr(X0)
| ~ transitive_relstr(X0)
| ~ reflexive_relstr(X0) ),
inference(cnf_transformation,[],[f298]) ).
fof(f298,plain,
! [X0] :
( ( ~ empty(sK19(X0))
& element(sK19(X0),powerset(the_carrier(X0))) )
| ~ rel_str(X0)
| ~ with_infima_relstr(X0)
| ~ with_suprema_relstr(X0)
| ~ antisymmetric_relstr(X0)
| ~ transitive_relstr(X0)
| ~ reflexive_relstr(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK19])],[f232,f297]) ).
fof(f297,plain,
! [X0] :
( ? [X1] :
( ~ empty(X1)
& element(X1,powerset(the_carrier(X0))) )
=> ( ~ empty(sK19(X0))
& element(sK19(X0),powerset(the_carrier(X0))) ) ),
introduced(choice_axiom,[]) ).
fof(f232,plain,
! [X0] :
( ? [X1] :
( ~ empty(X1)
& element(X1,powerset(the_carrier(X0))) )
| ~ rel_str(X0)
| ~ with_infima_relstr(X0)
| ~ with_suprema_relstr(X0)
| ~ antisymmetric_relstr(X0)
| ~ transitive_relstr(X0)
| ~ reflexive_relstr(X0) ),
inference(flattening,[],[f231]) ).
fof(f231,plain,
! [X0] :
( ? [X1] :
( ~ empty(X1)
& element(X1,powerset(the_carrier(X0))) )
| ~ rel_str(X0)
| ~ with_infima_relstr(X0)
| ~ with_suprema_relstr(X0)
| ~ antisymmetric_relstr(X0)
| ~ transitive_relstr(X0)
| ~ reflexive_relstr(X0) ),
inference(ennf_transformation,[],[f144]) ).
fof(f144,plain,
! [X0] :
( ( rel_str(X0)
& with_infima_relstr(X0)
& with_suprema_relstr(X0)
& antisymmetric_relstr(X0)
& transitive_relstr(X0)
& reflexive_relstr(X0) )
=> ? [X1] :
( ~ empty(X1)
& element(X1,powerset(the_carrier(X0))) ) ),
inference(pure_predicate_removal,[],[f137]) ).
fof(f137,plain,
! [X0] :
( ( rel_str(X0)
& with_infima_relstr(X0)
& with_suprema_relstr(X0)
& antisymmetric_relstr(X0)
& transitive_relstr(X0)
& reflexive_relstr(X0) )
=> ? [X1] :
( lower_relstr_subset(X1,X0)
& ~ empty(X1)
& element(X1,powerset(the_carrier(X0))) ) ),
inference(pure_predicate_removal,[],[f117]) ).
fof(f117,plain,
! [X0] :
( ( rel_str(X0)
& with_infima_relstr(X0)
& with_suprema_relstr(X0)
& antisymmetric_relstr(X0)
& transitive_relstr(X0)
& reflexive_relstr(X0) )
=> ? [X1] :
( upper_relstr_subset(X1,X0)
& lower_relstr_subset(X1,X0)
& ~ empty(X1)
& element(X1,powerset(the_carrier(X0))) ) ),
inference(pure_predicate_removal,[],[f112]) ).
fof(f112,plain,
! [X0] :
( ( rel_str(X0)
& with_infima_relstr(X0)
& with_suprema_relstr(X0)
& antisymmetric_relstr(X0)
& transitive_relstr(X0)
& reflexive_relstr(X0) )
=> ? [X1] :
( upper_relstr_subset(X1,X0)
& lower_relstr_subset(X1,X0)
& directed_subset(X1,X0)
& ~ empty(X1)
& element(X1,powerset(the_carrier(X0))) ) ),
inference(pure_predicate_removal,[],[f64]) ).
fof(f64,axiom,
! [X0] :
( ( rel_str(X0)
& with_infima_relstr(X0)
& with_suprema_relstr(X0)
& antisymmetric_relstr(X0)
& transitive_relstr(X0)
& reflexive_relstr(X0) )
=> ? [X1] :
( upper_relstr_subset(X1,X0)
& lower_relstr_subset(X1,X0)
& filtered_subset(X1,X0)
& directed_subset(X1,X0)
& ~ empty(X1)
& element(X1,powerset(the_carrier(X0))) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc11_waybel_0) ).
fof(f1719,plain,
! [X0] :
( ~ in(X0,sK20(sK8(sK9(X0))))
| empty(X0) ),
inference(resolution,[],[f1607,f515]) ).
fof(f1718,plain,
! [X0] :
( finite(sK20(sK7(sK9(sK22(X0)))))
| ~ finite(X0) ),
inference(subsumption_resolution,[],[f1711,f512]) ).
fof(f1711,plain,
! [X0] :
( empty(sK22(X0))
| finite(sK20(sK7(sK9(sK22(X0)))))
| ~ finite(X0) ),
inference(resolution,[],[f1599,f955]) ).
fof(f1868,plain,
! [X0] :
( ~ finite(X0)
| finite(sK20(sK7(sK9(sK22(X0))))) ),
inference(resolution,[],[f1717,f682]) ).
fof(f1867,plain,
! [X0,X1] :
( ~ in(X0,sK20(sK7(sK9(sK22(X1)))))
| ~ empty(X1) ),
inference(resolution,[],[f1717,f808]) ).
fof(f1717,plain,
! [X0] : in(sK20(sK7(sK9(sK22(X0)))),powerset(X0)),
inference(subsumption_resolution,[],[f1710,f512]) ).
fof(f1710,plain,
! [X0] :
( empty(sK22(X0))
| in(sK20(sK7(sK9(sK22(X0)))),powerset(X0)) ),
inference(resolution,[],[f1599,f957]) ).
fof(f1690,plain,
! [X0] :
( ~ in(X0,sK20(sK7(sK9(X0))))
| empty(X0) ),
inference(resolution,[],[f1599,f515]) ).
fof(f1838,plain,
! [X0] :
( ~ up_complete_relstr(X0)
| ~ lower_bounded_relstr(X0)
| ~ with_suprema_relstr(X0)
| ~ antisymmetric_relstr(X0)
| ~ transitive_relstr(X0)
| ~ reflexive_relstr(X0)
| ~ rel_str(X0)
| with_infima_relstr(X0) ),
inference(resolution,[],[f1689,f463]) ).
fof(f1837,plain,
! [X0] :
( ~ up_complete_relstr(X0)
| ~ lower_bounded_relstr(X0)
| ~ with_suprema_relstr(X0)
| ~ antisymmetric_relstr(X0)
| ~ transitive_relstr(X0)
| ~ reflexive_relstr(X0)
| ~ rel_str(X0)
| complete_relstr(X0) ),
inference(resolution,[],[f1689,f464]) ).
fof(f1835,plain,
! [X0] :
( ~ up_complete_relstr(X0)
| ~ lower_bounded_relstr(X0)
| ~ with_suprema_relstr(X0)
| ~ antisymmetric_relstr(X0)
| ~ transitive_relstr(X0)
| ~ reflexive_relstr(X0)
| ~ rel_str(X0)
| bounded_relstr(X0) ),
inference(resolution,[],[f1689,f467]) ).
fof(f1689,plain,
! [X0] :
( sP2(X0)
| ~ up_complete_relstr(X0)
| ~ lower_bounded_relstr(X0)
| ~ with_suprema_relstr(X0)
| ~ antisymmetric_relstr(X0)
| ~ transitive_relstr(X0)
| ~ reflexive_relstr(X0)
| ~ rel_str(X0) ),
inference(subsumption_resolution,[],[f468,f437]) ).
fof(f1634,plain,
! [X0] :
( finite(sK20(sK9(sK9(powerset(X0)))))
| ~ finite(X0) ),
inference(subsumption_resolution,[],[f1629,f354]) ).
fof(f1629,plain,
! [X0] :
( empty(powerset(X0))
| finite(sK20(sK9(sK9(powerset(X0)))))
| ~ finite(X0) ),
inference(resolution,[],[f1553,f428]) ).
fof(f1817,plain,
! [X0] :
( empty(sK20(powerset(X0)))
| element(sK20(sK9(sK9(sK20(powerset(X0))))),X0) ),
inference(resolution,[],[f1631,f938]) ).
fof(f1829,plain,
! [X0] :
( ~ finite(X0)
| finite(sK20(sK9(sK9(powerset(X0))))) ),
inference(subsumption_resolution,[],[f1809,f354]) ).
fof(f1809,plain,
! [X0] :
( empty(powerset(X0))
| ~ finite(X0)
| finite(sK20(sK9(sK9(powerset(X0))))) ),
inference(resolution,[],[f1631,f682]) ).
fof(f1828,plain,
! [X0,X1] :
( ~ in(X1,sK20(sK9(sK9(powerset(X0)))))
| ~ empty(X0) ),
inference(subsumption_resolution,[],[f1808,f354]) ).
fof(f1808,plain,
! [X0,X1] :
( empty(powerset(X0))
| ~ in(X1,sK20(sK9(sK9(powerset(X0)))))
| ~ empty(X0) ),
inference(resolution,[],[f1631,f808]) ).
fof(f1631,plain,
! [X0] :
( in(sK20(sK9(sK9(X0))),X0)
| empty(X0) ),
inference(duplicate_literal_removal,[],[f1630]) ).
fof(f1630,plain,
! [X0] :
( empty(X0)
| empty(X0)
| in(sK20(sK9(sK9(X0))),X0) ),
inference(resolution,[],[f1553,f517]) ).
fof(f1626,plain,
! [X0] :
( finite(sK20(sK9(sK8(powerset(X0)))))
| ~ finite(X0) ),
inference(subsumption_resolution,[],[f1621,f354]) ).
fof(f1621,plain,
! [X0] :
( empty(powerset(X0))
| finite(sK20(sK9(sK8(powerset(X0)))))
| ~ finite(X0) ),
inference(resolution,[],[f1552,f428]) ).
fof(f1788,plain,
! [X0] :
( empty(sK20(powerset(X0)))
| element(sK20(sK9(sK8(sK20(powerset(X0))))),X0) ),
inference(resolution,[],[f1623,f938]) ).
fof(f1800,plain,
! [X0] :
( ~ finite(X0)
| finite(sK20(sK9(sK8(powerset(X0))))) ),
inference(subsumption_resolution,[],[f1780,f354]) ).
fof(f1780,plain,
! [X0] :
( empty(powerset(X0))
| ~ finite(X0)
| finite(sK20(sK9(sK8(powerset(X0))))) ),
inference(resolution,[],[f1623,f682]) ).
fof(f1799,plain,
! [X0,X1] :
( ~ in(X1,sK20(sK9(sK8(powerset(X0)))))
| ~ empty(X0) ),
inference(subsumption_resolution,[],[f1779,f354]) ).
fof(f1779,plain,
! [X0,X1] :
( empty(powerset(X0))
| ~ in(X1,sK20(sK9(sK8(powerset(X0)))))
| ~ empty(X0) ),
inference(resolution,[],[f1623,f808]) ).
fof(f1623,plain,
! [X0] :
( in(sK20(sK9(sK8(X0))),X0)
| empty(X0) ),
inference(duplicate_literal_removal,[],[f1622]) ).
fof(f1622,plain,
! [X0] :
( empty(X0)
| empty(X0)
| in(sK20(sK9(sK8(X0))),X0) ),
inference(resolution,[],[f1552,f517]) ).
fof(f1618,plain,
! [X0] :
( finite(sK20(sK9(sK7(powerset(X0)))))
| ~ finite(X0) ),
inference(subsumption_resolution,[],[f1613,f354]) ).
fof(f1613,plain,
! [X0] :
( empty(powerset(X0))
| finite(sK20(sK9(sK7(powerset(X0)))))
| ~ finite(X0) ),
inference(resolution,[],[f1551,f428]) ).
fof(f1759,plain,
! [X0] :
( empty(sK20(powerset(X0)))
| element(sK20(sK9(sK7(sK20(powerset(X0))))),X0) ),
inference(resolution,[],[f1615,f938]) ).
fof(f1771,plain,
! [X0] :
( ~ finite(X0)
| finite(sK20(sK9(sK7(powerset(X0))))) ),
inference(subsumption_resolution,[],[f1751,f354]) ).
fof(f1751,plain,
! [X0] :
( empty(powerset(X0))
| ~ finite(X0)
| finite(sK20(sK9(sK7(powerset(X0))))) ),
inference(resolution,[],[f1615,f682]) ).
fof(f1770,plain,
! [X0,X1] :
( ~ in(X1,sK20(sK9(sK7(powerset(X0)))))
| ~ empty(X0) ),
inference(subsumption_resolution,[],[f1750,f354]) ).
fof(f1750,plain,
! [X0,X1] :
( empty(powerset(X0))
| ~ in(X1,sK20(sK9(sK7(powerset(X0)))))
| ~ empty(X0) ),
inference(resolution,[],[f1615,f808]) ).
fof(f1615,plain,
! [X0] :
( in(sK20(sK9(sK7(X0))),X0)
| empty(X0) ),
inference(duplicate_literal_removal,[],[f1614]) ).
fof(f1614,plain,
! [X0] :
( empty(X0)
| empty(X0)
| in(sK20(sK9(sK7(X0))),X0) ),
inference(resolution,[],[f1551,f517]) ).
fof(f1610,plain,
! [X0] :
( finite(sK20(sK8(sK9(powerset(X0)))))
| ~ finite(X0) ),
inference(subsumption_resolution,[],[f1605,f354]) ).
fof(f1605,plain,
! [X0] :
( empty(powerset(X0))
| finite(sK20(sK8(sK9(powerset(X0)))))
| ~ finite(X0) ),
inference(resolution,[],[f1518,f428]) ).
fof(f1730,plain,
! [X0] :
( empty(sK20(powerset(X0)))
| element(sK20(sK8(sK9(sK20(powerset(X0))))),X0) ),
inference(resolution,[],[f1607,f938]) ).
fof(f1742,plain,
! [X0] :
( ~ finite(X0)
| finite(sK20(sK8(sK9(powerset(X0))))) ),
inference(subsumption_resolution,[],[f1722,f354]) ).
fof(f1722,plain,
! [X0] :
( empty(powerset(X0))
| ~ finite(X0)
| finite(sK20(sK8(sK9(powerset(X0))))) ),
inference(resolution,[],[f1607,f682]) ).
fof(f1741,plain,
! [X0,X1] :
( ~ in(X1,sK20(sK8(sK9(powerset(X0)))))
| ~ empty(X0) ),
inference(subsumption_resolution,[],[f1721,f354]) ).
fof(f1721,plain,
! [X0,X1] :
( empty(powerset(X0))
| ~ in(X1,sK20(sK8(sK9(powerset(X0)))))
| ~ empty(X0) ),
inference(resolution,[],[f1607,f808]) ).
fof(f1607,plain,
! [X0] :
( in(sK20(sK8(sK9(X0))),X0)
| empty(X0) ),
inference(duplicate_literal_removal,[],[f1606]) ).
fof(f1606,plain,
! [X0] :
( empty(X0)
| empty(X0)
| in(sK20(sK8(sK9(X0))),X0) ),
inference(resolution,[],[f1518,f517]) ).
fof(f1602,plain,
! [X0] :
( finite(sK20(sK7(sK9(powerset(X0)))))
| ~ finite(X0) ),
inference(subsumption_resolution,[],[f1597,f354]) ).
fof(f1597,plain,
! [X0] :
( empty(powerset(X0))
| finite(sK20(sK7(sK9(powerset(X0)))))
| ~ finite(X0) ),
inference(resolution,[],[f1515,f428]) ).
fof(f1701,plain,
! [X0] :
( empty(sK20(powerset(X0)))
| element(sK20(sK7(sK9(sK20(powerset(X0))))),X0) ),
inference(resolution,[],[f1599,f938]) ).
fof(f1713,plain,
! [X0] :
( ~ finite(X0)
| finite(sK20(sK7(sK9(powerset(X0))))) ),
inference(subsumption_resolution,[],[f1693,f354]) ).
fof(f1693,plain,
! [X0] :
( empty(powerset(X0))
| ~ finite(X0)
| finite(sK20(sK7(sK9(powerset(X0))))) ),
inference(resolution,[],[f1599,f682]) ).
fof(f1712,plain,
! [X0,X1] :
( ~ in(X1,sK20(sK7(sK9(powerset(X0)))))
| ~ empty(X0) ),
inference(subsumption_resolution,[],[f1692,f354]) ).
fof(f1692,plain,
! [X0,X1] :
( empty(powerset(X0))
| ~ in(X1,sK20(sK7(sK9(powerset(X0)))))
| ~ empty(X0) ),
inference(resolution,[],[f1599,f808]) ).
fof(f1599,plain,
! [X0] :
( in(sK20(sK7(sK9(X0))),X0)
| empty(X0) ),
inference(duplicate_literal_removal,[],[f1598]) ).
fof(f1598,plain,
! [X0] :
( empty(X0)
| empty(X0)
| in(sK20(sK7(sK9(X0))),X0) ),
inference(resolution,[],[f1515,f517]) ).
fof(f1685,plain,
! [X0] :
( ~ empty(X0)
| empty_set = sK20(sK7(sK22(sK20(sK9(sK22(X0)))))) ),
inference(resolution,[],[f1666,f1086]) ).
fof(f1684,plain,
! [X0] :
( ~ empty(X0)
| empty_set = sK20(sK7(powerset(sK20(sK9(sK22(X0)))))) ),
inference(resolution,[],[f1666,f1070]) ).
fof(f1683,plain,
! [X0] :
( ~ empty(X0)
| empty_set = sK20(sK22(sK20(sK9(sK22(X0))))) ),
inference(resolution,[],[f1666,f971]) ).
fof(f1682,plain,
! [X0] :
( ~ empty(X0)
| empty_set = sK20(powerset(sK20(powerset(sK20(sK9(sK22(X0))))))) ),
inference(resolution,[],[f1666,f843]) ).
fof(f1681,plain,
! [X0] :
( ~ empty(X0)
| empty_set = sK20(powerset(sK20(sK9(sK22(X0))))) ),
inference(resolution,[],[f1666,f841]) ).
fof(f1680,plain,
! [X0,X1] :
( ~ empty(X0)
| sK20(powerset(X1)) = sK20(sK9(sK22(X0)))
| ~ empty(X1) ),
inference(resolution,[],[f1666,f840]) ).
fof(f1679,plain,
! [X0,X1] :
( ~ empty(X0)
| sK20(sK9(sK22(X0))) = X1
| ~ empty(X1) ),
inference(resolution,[],[f1666,f528]) ).
fof(f1678,plain,
! [X0] :
( ~ empty(X0)
| empty_set = sK20(sK9(sK22(X0))) ),
inference(resolution,[],[f1666,f430]) ).
fof(f1666,plain,
! [X0] :
( empty(sK20(sK9(sK22(X0))))
| ~ empty(X0) ),
inference(resolution,[],[f1556,f747]) ).
fof(f1677,plain,
! [X0,X1] :
( ~ empty(X0)
| in(sK23(X1,sK20(sK9(sK22(X0)))),X1)
| sK20(sK9(sK22(X0))) = X1 ),
inference(resolution,[],[f1556,f525]) ).
fof(f1674,plain,
! [X0,X1] :
( ~ empty(X0)
| in(sK23(sK20(sK9(sK22(X0))),X1),X1)
| sK20(sK9(sK22(X0))) = X1 ),
inference(resolution,[],[f1556,f525]) ).
fof(f1673,plain,
! [X0] :
( ~ empty(X0)
| empty(sK20(sK9(sK22(X0)))) ),
inference(resolution,[],[f1556,f1525]) ).
fof(f1672,plain,
! [X0] :
( ~ empty(X0)
| empty(sK20(sK9(sK22(X0)))) ),
inference(resolution,[],[f1556,f1322]) ).
fof(f1671,plain,
! [X0] :
( ~ empty(X0)
| empty(sK20(sK9(sK22(X0)))) ),
inference(resolution,[],[f1556,f1314]) ).
fof(f1670,plain,
! [X0] :
( ~ empty(X0)
| empty(sK20(sK9(sK22(X0)))) ),
inference(resolution,[],[f1556,f1176]) ).
fof(f1669,plain,
! [X0] :
( ~ empty(X0)
| empty(sK20(sK9(sK22(X0)))) ),
inference(resolution,[],[f1556,f1306]) ).
fof(f1668,plain,
! [X0] :
( ~ empty(X0)
| empty(sK20(sK9(sK22(X0)))) ),
inference(resolution,[],[f1556,f1075]) ).
fof(f1667,plain,
! [X0] :
( ~ empty(X0)
| empty(sK20(sK9(sK22(X0)))) ),
inference(resolution,[],[f1556,f1036]) ).
fof(f1556,plain,
! [X0,X1] :
( ~ in(X0,sK20(sK9(sK22(X1))))
| ~ empty(X1) ),
inference(resolution,[],[f1554,f808]) ).
fof(f1665,plain,
filter_of_net_str(sK4,sK5) = a_2_1_yellow19(sK4,sK5),
inference(subsumption_resolution,[],[f1664,f345]) ).
fof(f1664,plain,
( filter_of_net_str(sK4,sK5) = a_2_1_yellow19(sK4,sK5)
| empty_carrier(sK4) ),
inference(subsumption_resolution,[],[f1663,f346]) ).
fof(f1663,plain,
( filter_of_net_str(sK4,sK5) = a_2_1_yellow19(sK4,sK5)
| ~ one_sorted_str(sK4)
| empty_carrier(sK4) ),
inference(subsumption_resolution,[],[f1660,f347]) ).
fof(f1660,plain,
( filter_of_net_str(sK4,sK5) = a_2_1_yellow19(sK4,sK5)
| empty_carrier(sK5)
| ~ one_sorted_str(sK4)
| empty_carrier(sK4) ),
inference(resolution,[],[f488,f348]) ).
fof(f1662,plain,
! [X0] :
( filter_of_net_str(X0,sK10(X0)) = a_2_1_yellow19(X0,sK10(X0))
| empty_carrier(sK10(X0))
| ~ one_sorted_str(X0)
| empty_carrier(X0) ),
inference(duplicate_literal_removal,[],[f1661]) ).
fof(f1661,plain,
! [X0] :
( filter_of_net_str(X0,sK10(X0)) = a_2_1_yellow19(X0,sK10(X0))
| empty_carrier(sK10(X0))
| ~ one_sorted_str(X0)
| empty_carrier(X0)
| ~ one_sorted_str(X0) ),
inference(resolution,[],[f488,f424]) ).
fof(f488,plain,
! [X0,X1] :
( ~ net_str(X1,X0)
| filter_of_net_str(X0,X1) = a_2_1_yellow19(X0,X1)
| empty_carrier(X1)
| ~ one_sorted_str(X0)
| empty_carrier(X0) ),
inference(cnf_transformation,[],[f208]) ).
fof(f208,plain,
! [X0] :
( ! [X1] :
( filter_of_net_str(X0,X1) = a_2_1_yellow19(X0,X1)
| ~ net_str(X1,X0)
| empty_carrier(X1) )
| ~ one_sorted_str(X0)
| empty_carrier(X0) ),
inference(flattening,[],[f207]) ).
fof(f207,plain,
! [X0] :
( ! [X1] :
( filter_of_net_str(X0,X1) = a_2_1_yellow19(X0,X1)
| ~ net_str(X1,X0)
| empty_carrier(X1) )
| ~ one_sorted_str(X0)
| empty_carrier(X0) ),
inference(ennf_transformation,[],[f21]) ).
fof(f21,axiom,
! [X0] :
( ( one_sorted_str(X0)
& ~ empty_carrier(X0) )
=> ! [X1] :
( ( net_str(X1,X0)
& ~ empty_carrier(X1) )
=> filter_of_net_str(X0,X1) = a_2_1_yellow19(X0,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d3_yellow19) ).
fof(f1632,plain,
! [X0,X1] :
( element(X1,X0)
| ~ in(X1,sK20(sK9(sK9(powerset(X0))))) ),
inference(subsumption_resolution,[],[f1627,f354]) ).
fof(f1627,plain,
! [X0,X1] :
( empty(powerset(X0))
| element(X1,X0)
| ~ in(X1,sK20(sK9(sK9(powerset(X0))))) ),
inference(resolution,[],[f1553,f537]) ).
fof(f1553,plain,
! [X0] :
( element(sK20(sK9(sK9(X0))),X0)
| empty(X0) ),
inference(subsumption_resolution,[],[f1537,f420]) ).
fof(f1537,plain,
! [X0] :
( empty(sK9(X0))
| element(sK20(sK9(sK9(X0))),X0)
| empty(X0) ),
inference(resolution,[],[f1525,f932]) ).
fof(f1624,plain,
! [X0,X1] :
( element(X1,X0)
| ~ in(X1,sK20(sK9(sK8(powerset(X0))))) ),
inference(subsumption_resolution,[],[f1619,f354]) ).
fof(f1619,plain,
! [X0,X1] :
( empty(powerset(X0))
| element(X1,X0)
| ~ in(X1,sK20(sK9(sK8(powerset(X0))))) ),
inference(resolution,[],[f1552,f537]) ).
fof(f1552,plain,
! [X0] :
( element(sK20(sK9(sK8(X0))),X0)
| empty(X0) ),
inference(subsumption_resolution,[],[f1536,f417]) ).
fof(f1536,plain,
! [X0] :
( empty(sK8(X0))
| element(sK20(sK9(sK8(X0))),X0)
| empty(X0) ),
inference(resolution,[],[f1525,f931]) ).
fof(f1616,plain,
! [X0,X1] :
( element(X1,X0)
| ~ in(X1,sK20(sK9(sK7(powerset(X0))))) ),
inference(subsumption_resolution,[],[f1611,f354]) ).
fof(f1611,plain,
! [X0,X1] :
( empty(powerset(X0))
| element(X1,X0)
| ~ in(X1,sK20(sK9(sK7(powerset(X0))))) ),
inference(resolution,[],[f1551,f537]) ).
fof(f1551,plain,
! [X0] :
( element(sK20(sK9(sK7(X0))),X0)
| empty(X0) ),
inference(subsumption_resolution,[],[f1535,f415]) ).
fof(f1535,plain,
! [X0] :
( empty(sK7(X0))
| element(sK20(sK9(sK7(X0))),X0)
| empty(X0) ),
inference(resolution,[],[f1525,f930]) ).
fof(f1608,plain,
! [X0,X1] :
( element(X1,X0)
| ~ in(X1,sK20(sK8(sK9(powerset(X0))))) ),
inference(subsumption_resolution,[],[f1603,f354]) ).
fof(f1603,plain,
! [X0,X1] :
( empty(powerset(X0))
| element(X1,X0)
| ~ in(X1,sK20(sK8(sK9(powerset(X0))))) ),
inference(resolution,[],[f1518,f537]) ).
fof(f1518,plain,
! [X0] :
( element(sK20(sK8(sK9(X0))),X0)
| empty(X0) ),
inference(subsumption_resolution,[],[f1507,f420]) ).
fof(f1507,plain,
! [X0] :
( element(sK20(sK8(sK9(X0))),X0)
| empty(X0)
| empty(sK9(X0)) ),
inference(resolution,[],[f932,f1176]) ).
fof(f1600,plain,
! [X0,X1] :
( element(X1,X0)
| ~ in(X1,sK20(sK7(sK9(powerset(X0))))) ),
inference(subsumption_resolution,[],[f1595,f354]) ).
fof(f1595,plain,
! [X0,X1] :
( empty(powerset(X0))
| element(X1,X0)
| ~ in(X1,sK20(sK7(sK9(powerset(X0))))) ),
inference(resolution,[],[f1515,f537]) ).
fof(f1515,plain,
! [X0] :
( element(sK20(sK7(sK9(X0))),X0)
| empty(X0) ),
inference(subsumption_resolution,[],[f1504,f420]) ).
fof(f1504,plain,
! [X0] :
( element(sK20(sK7(sK9(X0))),X0)
| empty(X0)
| empty(sK9(X0)) ),
inference(resolution,[],[f932,f1036]) ).
fof(f507,plain,
! [X0] :
( ~ empty(sK19(X0))
| ~ rel_str(X0)
| ~ with_infima_relstr(X0)
| ~ with_suprema_relstr(X0)
| ~ antisymmetric_relstr(X0)
| ~ transitive_relstr(X0)
| ~ reflexive_relstr(X0) ),
inference(cnf_transformation,[],[f298]) ).
fof(f1592,plain,
! [X0] :
( ~ empty(X0)
| empty_set = sK20(sK7(sK22(sK20(sK9(powerset(X0)))))) ),
inference(resolution,[],[f1573,f1086]) ).
fof(f1591,plain,
! [X0] :
( ~ empty(X0)
| empty_set = sK20(sK7(powerset(sK20(sK9(powerset(X0)))))) ),
inference(resolution,[],[f1573,f1070]) ).
fof(f1590,plain,
! [X0] :
( ~ empty(X0)
| empty_set = sK20(sK22(sK20(sK9(powerset(X0))))) ),
inference(resolution,[],[f1573,f971]) ).
fof(f1589,plain,
! [X0] :
( ~ empty(X0)
| empty_set = sK20(powerset(sK20(powerset(sK20(sK9(powerset(X0))))))) ),
inference(resolution,[],[f1573,f843]) ).
fof(f1588,plain,
! [X0] :
( ~ empty(X0)
| empty_set = sK20(powerset(sK20(sK9(powerset(X0))))) ),
inference(resolution,[],[f1573,f841]) ).
fof(f1587,plain,
! [X0,X1] :
( ~ empty(X0)
| sK20(powerset(X1)) = sK20(sK9(powerset(X0)))
| ~ empty(X1) ),
inference(resolution,[],[f1573,f840]) ).
fof(f1586,plain,
! [X0,X1] :
( ~ empty(X0)
| sK20(sK9(powerset(X0))) = X1
| ~ empty(X1) ),
inference(resolution,[],[f1573,f528]) ).
fof(f1585,plain,
! [X0] :
( ~ empty(X0)
| empty_set = sK20(sK9(powerset(X0))) ),
inference(resolution,[],[f1573,f430]) ).
fof(f1573,plain,
! [X0] :
( empty(sK20(sK9(powerset(X0))))
| ~ empty(X0) ),
inference(resolution,[],[f1527,f747]) ).
fof(f1584,plain,
! [X0,X1] :
( ~ empty(X0)
| in(sK23(X1,sK20(sK9(powerset(X0)))),X1)
| sK20(sK9(powerset(X0))) = X1 ),
inference(resolution,[],[f1527,f525]) ).
fof(f1581,plain,
! [X0,X1] :
( ~ empty(X0)
| in(sK23(sK20(sK9(powerset(X0))),X1),X1)
| sK20(sK9(powerset(X0))) = X1 ),
inference(resolution,[],[f1527,f525]) ).
fof(f1580,plain,
! [X0] :
( ~ empty(X0)
| empty(sK20(sK9(powerset(X0)))) ),
inference(resolution,[],[f1527,f1525]) ).
fof(f1579,plain,
! [X0] :
( ~ empty(X0)
| empty(sK20(sK9(powerset(X0)))) ),
inference(resolution,[],[f1527,f1322]) ).
fof(f1578,plain,
! [X0] :
( ~ empty(X0)
| empty(sK20(sK9(powerset(X0)))) ),
inference(resolution,[],[f1527,f1314]) ).
fof(f1577,plain,
! [X0] :
( ~ empty(X0)
| empty(sK20(sK9(powerset(X0)))) ),
inference(resolution,[],[f1527,f1176]) ).
fof(f1576,plain,
! [X0] :
( ~ empty(X0)
| empty(sK20(sK9(powerset(X0)))) ),
inference(resolution,[],[f1527,f1306]) ).
fof(f1575,plain,
! [X0] :
( ~ empty(X0)
| empty(sK20(sK9(powerset(X0)))) ),
inference(resolution,[],[f1527,f1075]) ).
fof(f1574,plain,
! [X0] :
( ~ empty(X0)
| empty(sK20(sK9(powerset(X0)))) ),
inference(resolution,[],[f1527,f1036]) ).
fof(f1527,plain,
! [X0,X1] :
( ~ in(X1,sK20(sK9(powerset(X0))))
| ~ empty(X0) ),
inference(subsumption_resolution,[],[f1522,f354]) ).
fof(f1522,plain,
! [X0,X1] :
( empty(powerset(X0))
| ~ empty(X0)
| ~ in(X1,sK20(sK9(powerset(X0)))) ),
inference(resolution,[],[f1514,f540]) ).
fof(f1558,plain,
! [X0] : ~ in(powerset(X0),sK20(sK9(sK22(X0)))),
inference(resolution,[],[f1554,f515]) ).
fof(f1571,plain,
! [X0,X1] :
( rel_str_of(X0,X1) != sK38
| the_InternalRel(sK38) = X1
| ~ relation_of2(X1,X0,X0) ),
inference(superposition,[],[f521,f1016]) ).
fof(f1570,plain,
! [X0,X1] :
( rel_str_of(X0,X1) != sK37
| the_InternalRel(sK37) = X1
| ~ relation_of2(X1,X0,X0) ),
inference(superposition,[],[f521,f1015]) ).
fof(f1569,plain,
! [X0,X1] :
( rel_str_of(X0,X1) != sK36
| the_InternalRel(sK36) = X1
| ~ relation_of2(X1,X0,X0) ),
inference(superposition,[],[f521,f1014]) ).
fof(f1568,plain,
! [X0,X1] :
( rel_str_of(X0,X1) != sK35
| the_InternalRel(sK35) = X1
| ~ relation_of2(X1,X0,X0) ),
inference(superposition,[],[f521,f1013]) ).
fof(f1567,plain,
! [X0,X1] :
( rel_str_of(X0,X1) != sK34
| the_InternalRel(sK34) = X1
| ~ relation_of2(X1,X0,X0) ),
inference(superposition,[],[f521,f1012]) ).
fof(f1566,plain,
! [X0,X1] :
( rel_str_of(X0,X1) != sK33
| the_InternalRel(sK33) = X1
| ~ relation_of2(X1,X0,X0) ),
inference(superposition,[],[f521,f1011]) ).
fof(f1565,plain,
! [X0,X1] :
( rel_str_of(X0,X1) != sK38
| the_InternalRel(sK38) = X1
| ~ relation_of2(the_InternalRel(sK38),the_carrier(sK38),the_carrier(sK38)) ),
inference(superposition,[],[f521,f1016]) ).
fof(f1564,plain,
! [X0,X1] :
( rel_str_of(X0,X1) != sK37
| the_InternalRel(sK37) = X1
| ~ relation_of2(the_InternalRel(sK37),the_carrier(sK37),the_carrier(sK37)) ),
inference(superposition,[],[f521,f1015]) ).
fof(f1563,plain,
! [X0,X1] :
( rel_str_of(X0,X1) != sK36
| the_InternalRel(sK36) = X1
| ~ relation_of2(the_InternalRel(sK36),the_carrier(sK36),the_carrier(sK36)) ),
inference(superposition,[],[f521,f1014]) ).
fof(f1562,plain,
! [X0,X1] :
( rel_str_of(X0,X1) != sK35
| the_InternalRel(sK35) = X1
| ~ relation_of2(the_InternalRel(sK35),the_carrier(sK35),the_carrier(sK35)) ),
inference(superposition,[],[f521,f1013]) ).
fof(f1561,plain,
! [X0,X1] :
( rel_str_of(X0,X1) != sK34
| the_InternalRel(sK34) = X1
| ~ relation_of2(the_InternalRel(sK34),the_carrier(sK34),the_carrier(sK34)) ),
inference(superposition,[],[f521,f1012]) ).
fof(f1560,plain,
! [X0,X1] :
( rel_str_of(X0,X1) != sK33
| the_InternalRel(sK33) = X1
| ~ relation_of2(the_InternalRel(sK33),the_carrier(sK33),the_carrier(sK33)) ),
inference(superposition,[],[f521,f1011]) ).
fof(f521,plain,
! [X2,X3,X0,X1] :
( rel_str_of(X0,X1) != rel_str_of(X2,X3)
| X1 = X3
| ~ relation_of2(X1,X0,X0) ),
inference(cnf_transformation,[],[f238]) ).
fof(f238,plain,
! [X0,X1] :
( ! [X2,X3] :
( ( X1 = X3
& X0 = X2 )
| rel_str_of(X0,X1) != rel_str_of(X2,X3) )
| ~ relation_of2(X1,X0,X0) ),
inference(ennf_transformation,[],[f62]) ).
fof(f62,axiom,
! [X0,X1] :
( relation_of2(X1,X0,X0)
=> ! [X2,X3] :
( rel_str_of(X0,X1) = rel_str_of(X2,X3)
=> ( X1 = X3
& X0 = X2 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',free_g1_orders_2) ).
fof(f1555,plain,
! [X0] :
( finite(sK20(sK9(sK22(X0))))
| ~ finite(X0) ),
inference(subsumption_resolution,[],[f1548,f512]) ).
fof(f1548,plain,
! [X0] :
( empty(sK22(X0))
| finite(sK20(sK9(sK22(X0))))
| ~ finite(X0) ),
inference(resolution,[],[f1525,f955]) ).
fof(f1557,plain,
! [X0] :
( ~ finite(X0)
| finite(sK20(sK9(sK22(X0)))) ),
inference(resolution,[],[f1554,f682]) ).
fof(f1554,plain,
! [X0] : in(sK20(sK9(sK22(X0))),powerset(X0)),
inference(subsumption_resolution,[],[f1547,f512]) ).
fof(f1547,plain,
! [X0] :
( empty(sK22(X0))
| in(sK20(sK9(sK22(X0))),powerset(X0)) ),
inference(resolution,[],[f1525,f957]) ).
fof(f1529,plain,
! [X0] :
( ~ in(X0,sK20(sK9(X0)))
| empty(X0) ),
inference(resolution,[],[f1525,f515]) ).
fof(f1528,plain,
! [X0] :
( finite(sK20(sK9(powerset(X0))))
| ~ finite(X0) ),
inference(subsumption_resolution,[],[f1523,f354]) ).
fof(f1523,plain,
! [X0] :
( empty(powerset(X0))
| finite(sK20(sK9(powerset(X0))))
| ~ finite(X0) ),
inference(resolution,[],[f1514,f428]) ).
fof(f1540,plain,
! [X0] :
( empty(sK20(powerset(X0)))
| element(sK20(sK9(sK20(powerset(X0)))),X0) ),
inference(resolution,[],[f1525,f938]) ).
fof(f1550,plain,
! [X0] :
( ~ finite(X0)
| finite(sK20(sK9(powerset(X0)))) ),
inference(subsumption_resolution,[],[f1532,f354]) ).
fof(f1532,plain,
! [X0] :
( empty(powerset(X0))
| ~ finite(X0)
| finite(sK20(sK9(powerset(X0)))) ),
inference(resolution,[],[f1525,f682]) ).
fof(f1549,plain,
! [X0,X1] :
( ~ in(X1,sK20(sK9(powerset(X0))))
| ~ empty(X0) ),
inference(subsumption_resolution,[],[f1531,f354]) ).
fof(f1531,plain,
! [X0,X1] :
( empty(powerset(X0))
| ~ in(X1,sK20(sK9(powerset(X0))))
| ~ empty(X0) ),
inference(resolution,[],[f1525,f808]) ).
fof(f1525,plain,
! [X0] :
( in(sK20(sK9(X0)),X0)
| empty(X0) ),
inference(duplicate_literal_removal,[],[f1524]) ).
fof(f1524,plain,
! [X0] :
( empty(X0)
| empty(X0)
| in(sK20(sK9(X0)),X0) ),
inference(resolution,[],[f1514,f517]) ).
fof(f1514,plain,
! [X0] :
( element(sK20(sK9(X0)),X0)
| empty(X0) ),
inference(subsumption_resolution,[],[f1503,f420]) ).
fof(f1503,plain,
! [X0] :
( element(sK20(sK9(X0)),X0)
| empty(X0)
| empty(sK9(X0)) ),
inference(resolution,[],[f932,f747]) ).
fof(f1513,plain,
! [X0,X1] :
( element(sK23(X0,sK9(X1)),X1)
| empty(X1)
| in(sK23(X0,sK9(X1)),X0)
| sK9(X1) = X0 ),
inference(resolution,[],[f932,f525]) ).
fof(f1510,plain,
! [X0,X1] :
( element(sK23(sK9(X0),X1),X0)
| empty(X0)
| in(sK23(sK9(X0),X1),X1)
| sK9(X0) = X1 ),
inference(resolution,[],[f932,f525]) ).
fof(f932,plain,
! [X0,X1] :
( ~ in(X0,sK9(X1))
| element(X0,X1)
| empty(X1) ),
inference(resolution,[],[f537,f419]) ).
fof(f1488,plain,
! [X0] : ~ in(powerset(X0),sK20(sK8(sK8(sK22(X0))))),
inference(resolution,[],[f1440,f515]) ).
fof(f1484,plain,
! [X0] : ~ in(powerset(X0),sK20(sK8(sK7(sK22(X0))))),
inference(resolution,[],[f1415,f515]) ).
fof(f1501,plain,
! [X0,X1] :
( rel_str_of(X0,X1) != sK38
| the_carrier(sK38) = X0
| ~ relation_of2(X1,X0,X0) ),
inference(superposition,[],[f520,f1016]) ).
fof(f1500,plain,
! [X0,X1] :
( rel_str_of(X0,X1) != sK37
| the_carrier(sK37) = X0
| ~ relation_of2(X1,X0,X0) ),
inference(superposition,[],[f520,f1015]) ).
fof(f1499,plain,
! [X0,X1] :
( rel_str_of(X0,X1) != sK36
| the_carrier(sK36) = X0
| ~ relation_of2(X1,X0,X0) ),
inference(superposition,[],[f520,f1014]) ).
fof(f1498,plain,
! [X0,X1] :
( rel_str_of(X0,X1) != sK35
| the_carrier(sK35) = X0
| ~ relation_of2(X1,X0,X0) ),
inference(superposition,[],[f520,f1013]) ).
fof(f1497,plain,
! [X0,X1] :
( rel_str_of(X0,X1) != sK34
| the_carrier(sK34) = X0
| ~ relation_of2(X1,X0,X0) ),
inference(superposition,[],[f520,f1012]) ).
fof(f1496,plain,
! [X0,X1] :
( rel_str_of(X0,X1) != sK33
| the_carrier(sK33) = X0
| ~ relation_of2(X1,X0,X0) ),
inference(superposition,[],[f520,f1011]) ).
fof(f1495,plain,
! [X0,X1] :
( rel_str_of(X0,X1) != sK38
| the_carrier(sK38) = X0
| ~ relation_of2(the_InternalRel(sK38),the_carrier(sK38),the_carrier(sK38)) ),
inference(superposition,[],[f520,f1016]) ).
fof(f1494,plain,
! [X0,X1] :
( rel_str_of(X0,X1) != sK37
| the_carrier(sK37) = X0
| ~ relation_of2(the_InternalRel(sK37),the_carrier(sK37),the_carrier(sK37)) ),
inference(superposition,[],[f520,f1015]) ).
fof(f1493,plain,
! [X0,X1] :
( rel_str_of(X0,X1) != sK36
| the_carrier(sK36) = X0
| ~ relation_of2(the_InternalRel(sK36),the_carrier(sK36),the_carrier(sK36)) ),
inference(superposition,[],[f520,f1014]) ).
fof(f1492,plain,
! [X0,X1] :
( rel_str_of(X0,X1) != sK35
| the_carrier(sK35) = X0
| ~ relation_of2(the_InternalRel(sK35),the_carrier(sK35),the_carrier(sK35)) ),
inference(superposition,[],[f520,f1013]) ).
fof(f1491,plain,
! [X0,X1] :
( rel_str_of(X0,X1) != sK34
| the_carrier(sK34) = X0
| ~ relation_of2(the_InternalRel(sK34),the_carrier(sK34),the_carrier(sK34)) ),
inference(superposition,[],[f520,f1012]) ).
fof(f1490,plain,
! [X0,X1] :
( rel_str_of(X0,X1) != sK33
| the_carrier(sK33) = X0
| ~ relation_of2(the_InternalRel(sK33),the_carrier(sK33),the_carrier(sK33)) ),
inference(superposition,[],[f520,f1011]) ).
fof(f520,plain,
! [X2,X3,X0,X1] :
( rel_str_of(X0,X1) != rel_str_of(X2,X3)
| X0 = X2
| ~ relation_of2(X1,X0,X0) ),
inference(cnf_transformation,[],[f238]) ).
fof(f1475,plain,
! [X0] : ~ in(powerset(X0),sK20(sK7(sK8(sK22(X0))))),
inference(resolution,[],[f1390,f515]) ).
fof(f1441,plain,
! [X0] :
( finite(sK20(sK8(sK8(sK22(X0)))))
| ~ finite(X0) ),
inference(subsumption_resolution,[],[f1435,f512]) ).
fof(f1435,plain,
! [X0] :
( empty(sK22(X0))
| finite(sK20(sK8(sK8(sK22(X0)))))
| ~ finite(X0) ),
inference(resolution,[],[f1322,f955]) ).
fof(f1487,plain,
! [X0] :
( ~ finite(X0)
| finite(sK20(sK8(sK8(sK22(X0))))) ),
inference(resolution,[],[f1440,f682]) ).
fof(f1486,plain,
! [X0,X1] :
( ~ in(X0,sK20(sK8(sK8(sK22(X1)))))
| ~ empty(X1) ),
inference(resolution,[],[f1440,f808]) ).
fof(f1440,plain,
! [X0] : in(sK20(sK8(sK8(sK22(X0)))),powerset(X0)),
inference(subsumption_resolution,[],[f1434,f512]) ).
fof(f1434,plain,
! [X0] :
( empty(sK22(X0))
| in(sK20(sK8(sK8(sK22(X0)))),powerset(X0)) ),
inference(resolution,[],[f1322,f957]) ).
fof(f1417,plain,
! [X0] :
( ~ in(X0,sK20(sK8(sK8(X0))))
| empty(X0) ),
inference(resolution,[],[f1322,f515]) ).
fof(f1416,plain,
! [X0] :
( finite(sK20(sK8(sK7(sK22(X0)))))
| ~ finite(X0) ),
inference(subsumption_resolution,[],[f1410,f512]) ).
fof(f1410,plain,
! [X0] :
( empty(sK22(X0))
| finite(sK20(sK8(sK7(sK22(X0)))))
| ~ finite(X0) ),
inference(resolution,[],[f1314,f955]) ).
fof(f1483,plain,
! [X0] :
( ~ finite(X0)
| finite(sK20(sK8(sK7(sK22(X0))))) ),
inference(resolution,[],[f1415,f682]) ).
fof(f1482,plain,
! [X0,X1] :
( ~ in(X0,sK20(sK8(sK7(sK22(X1)))))
| ~ empty(X1) ),
inference(resolution,[],[f1415,f808]) ).
fof(f1415,plain,
! [X0] : in(sK20(sK8(sK7(sK22(X0)))),powerset(X0)),
inference(subsumption_resolution,[],[f1409,f512]) ).
fof(f1409,plain,
! [X0] :
( empty(sK22(X0))
| in(sK20(sK8(sK7(sK22(X0)))),powerset(X0)) ),
inference(resolution,[],[f1314,f957]) ).
fof(f1481,plain,
! [X0] :
( ~ rel_str(X0)
| ~ transitive_relstr(X0)
| ~ reflexive_relstr(X0)
| empty_carrier(X0)
| in(sK18(X0),powerset(the_carrier(X0))) ),
inference(subsumption_resolution,[],[f1480,f354]) ).
fof(f1480,plain,
! [X0] :
( ~ rel_str(X0)
| ~ transitive_relstr(X0)
| ~ reflexive_relstr(X0)
| empty_carrier(X0)
| empty(powerset(the_carrier(X0)))
| in(sK18(X0),powerset(the_carrier(X0))) ),
inference(resolution,[],[f502,f517]) ).
fof(f1479,plain,
! [X0] :
( ~ rel_str(X0)
| ~ transitive_relstr(X0)
| ~ reflexive_relstr(X0)
| empty_carrier(X0)
| finite(sK18(X0))
| ~ finite(the_carrier(X0)) ),
inference(resolution,[],[f502,f428]) ).
fof(f1477,plain,
! [X0,X1] :
( ~ rel_str(X0)
| ~ transitive_relstr(X0)
| ~ reflexive_relstr(X0)
| empty_carrier(X0)
| element(X1,the_carrier(X0))
| ~ in(X1,sK18(X0)) ),
inference(resolution,[],[f502,f537]) ).
fof(f502,plain,
! [X0] :
( element(sK18(X0),powerset(the_carrier(X0)))
| ~ rel_str(X0)
| ~ transitive_relstr(X0)
| ~ reflexive_relstr(X0)
| empty_carrier(X0) ),
inference(cnf_transformation,[],[f296]) ).
fof(f296,plain,
! [X0] :
( ( ~ empty(sK18(X0))
& element(sK18(X0),powerset(the_carrier(X0))) )
| ~ rel_str(X0)
| ~ transitive_relstr(X0)
| ~ reflexive_relstr(X0)
| empty_carrier(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK18])],[f226,f295]) ).
fof(f295,plain,
! [X0] :
( ? [X1] :
( ~ empty(X1)
& element(X1,powerset(the_carrier(X0))) )
=> ( ~ empty(sK18(X0))
& element(sK18(X0),powerset(the_carrier(X0))) ) ),
introduced(choice_axiom,[]) ).
fof(f226,plain,
! [X0] :
( ? [X1] :
( ~ empty(X1)
& element(X1,powerset(the_carrier(X0))) )
| ~ rel_str(X0)
| ~ transitive_relstr(X0)
| ~ reflexive_relstr(X0)
| empty_carrier(X0) ),
inference(flattening,[],[f225]) ).
fof(f225,plain,
! [X0] :
( ? [X1] :
( ~ empty(X1)
& element(X1,powerset(the_carrier(X0))) )
| ~ rel_str(X0)
| ~ transitive_relstr(X0)
| ~ reflexive_relstr(X0)
| empty_carrier(X0) ),
inference(ennf_transformation,[],[f135]) ).
fof(f135,plain,
! [X0] :
( ( rel_str(X0)
& transitive_relstr(X0)
& reflexive_relstr(X0)
& ~ empty_carrier(X0) )
=> ? [X1] :
( ~ empty(X1)
& element(X1,powerset(the_carrier(X0))) ) ),
inference(pure_predicate_removal,[],[f111]) ).
fof(f111,plain,
! [X0] :
( ( rel_str(X0)
& transitive_relstr(X0)
& reflexive_relstr(X0)
& ~ empty_carrier(X0) )
=> ? [X1] :
( upper_relstr_subset(X1,X0)
& ~ empty(X1)
& element(X1,powerset(the_carrier(X0))) ) ),
inference(pure_predicate_removal,[],[f63]) ).
fof(f63,axiom,
! [X0] :
( ( rel_str(X0)
& transitive_relstr(X0)
& reflexive_relstr(X0)
& ~ empty_carrier(X0) )
=> ? [X1] :
( upper_relstr_subset(X1,X0)
& filtered_subset(X1,X0)
& ~ empty(X1)
& element(X1,powerset(the_carrier(X0))) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc10_waybel_0) ).
fof(f1392,plain,
! [X0] :
( ~ in(X0,sK20(sK8(sK7(X0))))
| empty(X0) ),
inference(resolution,[],[f1314,f515]) ).
fof(f1391,plain,
! [X0] :
( finite(sK20(sK7(sK8(sK22(X0)))))
| ~ finite(X0) ),
inference(subsumption_resolution,[],[f1385,f512]) ).
fof(f1385,plain,
! [X0] :
( empty(sK22(X0))
| finite(sK20(sK7(sK8(sK22(X0)))))
| ~ finite(X0) ),
inference(resolution,[],[f1306,f955]) ).
fof(f1474,plain,
! [X0] :
( ~ finite(X0)
| finite(sK20(sK7(sK8(sK22(X0))))) ),
inference(resolution,[],[f1390,f682]) ).
fof(f1473,plain,
! [X0,X1] :
( ~ in(X0,sK20(sK7(sK8(sK22(X1)))))
| ~ empty(X1) ),
inference(resolution,[],[f1390,f808]) ).
fof(f1390,plain,
! [X0] : in(sK20(sK7(sK8(sK22(X0)))),powerset(X0)),
inference(subsumption_resolution,[],[f1384,f512]) ).
fof(f1384,plain,
! [X0] :
( empty(sK22(X0))
| in(sK20(sK7(sK8(sK22(X0)))),powerset(X0)) ),
inference(resolution,[],[f1306,f957]) ).
fof(f1367,plain,
! [X0] :
( ~ in(X0,sK20(sK7(sK8(X0))))
| empty(X0) ),
inference(resolution,[],[f1306,f515]) ).
fof(f1446,plain,
! [X0] :
( ~ rel_str(X0)
| ~ transitive_relstr(X0)
| ~ reflexive_relstr(X0)
| empty_carrier(X0)
| in(sK17(X0),powerset(the_carrier(X0))) ),
inference(subsumption_resolution,[],[f1445,f354]) ).
fof(f1445,plain,
! [X0] :
( ~ rel_str(X0)
| ~ transitive_relstr(X0)
| ~ reflexive_relstr(X0)
| empty_carrier(X0)
| empty(powerset(the_carrier(X0)))
| in(sK17(X0),powerset(the_carrier(X0))) ),
inference(resolution,[],[f500,f517]) ).
fof(f1444,plain,
! [X0] :
( ~ rel_str(X0)
| ~ transitive_relstr(X0)
| ~ reflexive_relstr(X0)
| empty_carrier(X0)
| finite(sK17(X0))
| ~ finite(the_carrier(X0)) ),
inference(resolution,[],[f500,f428]) ).
fof(f1442,plain,
! [X0,X1] :
( ~ rel_str(X0)
| ~ transitive_relstr(X0)
| ~ reflexive_relstr(X0)
| empty_carrier(X0)
| element(X1,the_carrier(X0))
| ~ in(X1,sK17(X0)) ),
inference(resolution,[],[f500,f537]) ).
fof(f500,plain,
! [X0] :
( element(sK17(X0),powerset(the_carrier(X0)))
| ~ rel_str(X0)
| ~ transitive_relstr(X0)
| ~ reflexive_relstr(X0)
| empty_carrier(X0) ),
inference(cnf_transformation,[],[f294]) ).
fof(f294,plain,
! [X0] :
( ( ~ empty(sK17(X0))
& element(sK17(X0),powerset(the_carrier(X0))) )
| ~ rel_str(X0)
| ~ transitive_relstr(X0)
| ~ reflexive_relstr(X0)
| empty_carrier(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK17])],[f224,f293]) ).
fof(f293,plain,
! [X0] :
( ? [X1] :
( ~ empty(X1)
& element(X1,powerset(the_carrier(X0))) )
=> ( ~ empty(sK17(X0))
& element(sK17(X0),powerset(the_carrier(X0))) ) ),
introduced(choice_axiom,[]) ).
fof(f224,plain,
! [X0] :
( ? [X1] :
( ~ empty(X1)
& element(X1,powerset(the_carrier(X0))) )
| ~ rel_str(X0)
| ~ transitive_relstr(X0)
| ~ reflexive_relstr(X0)
| empty_carrier(X0) ),
inference(flattening,[],[f223]) ).
fof(f223,plain,
! [X0] :
( ? [X1] :
( ~ empty(X1)
& element(X1,powerset(the_carrier(X0))) )
| ~ rel_str(X0)
| ~ transitive_relstr(X0)
| ~ reflexive_relstr(X0)
| empty_carrier(X0) ),
inference(ennf_transformation,[],[f142]) ).
fof(f142,plain,
! [X0] :
( ( rel_str(X0)
& transitive_relstr(X0)
& reflexive_relstr(X0)
& ~ empty_carrier(X0) )
=> ? [X1] :
( ~ empty(X1)
& element(X1,powerset(the_carrier(X0))) ) ),
inference(pure_predicate_removal,[],[f114]) ).
fof(f114,plain,
! [X0] :
( ( rel_str(X0)
& transitive_relstr(X0)
& reflexive_relstr(X0)
& ~ empty_carrier(X0) )
=> ? [X1] :
( lower_relstr_subset(X1,X0)
& ~ empty(X1)
& element(X1,powerset(the_carrier(X0))) ) ),
inference(pure_predicate_removal,[],[f89]) ).
fof(f89,axiom,
! [X0] :
( ( rel_str(X0)
& transitive_relstr(X0)
& reflexive_relstr(X0)
& ~ empty_carrier(X0) )
=> ? [X1] :
( lower_relstr_subset(X1,X0)
& directed_subset(X1,X0)
& ~ empty(X1)
& element(X1,powerset(the_carrier(X0))) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc9_waybel_0) ).
fof(f1325,plain,
! [X0] :
( finite(sK20(sK8(sK8(powerset(X0)))))
| ~ finite(X0) ),
inference(subsumption_resolution,[],[f1320,f354]) ).
fof(f1320,plain,
! [X0] :
( empty(powerset(X0))
| finite(sK20(sK8(sK8(powerset(X0)))))
| ~ finite(X0) ),
inference(resolution,[],[f1200,f428]) ).
fof(f1427,plain,
! [X0] :
( empty(sK20(powerset(X0)))
| element(sK20(sK8(sK8(sK20(powerset(X0))))),X0) ),
inference(resolution,[],[f1322,f938]) ).
fof(f1437,plain,
! [X0] :
( ~ finite(X0)
| finite(sK20(sK8(sK8(powerset(X0))))) ),
inference(subsumption_resolution,[],[f1420,f354]) ).
fof(f1420,plain,
! [X0] :
( empty(powerset(X0))
| ~ finite(X0)
| finite(sK20(sK8(sK8(powerset(X0))))) ),
inference(resolution,[],[f1322,f682]) ).
fof(f1436,plain,
! [X0,X1] :
( ~ in(X1,sK20(sK8(sK8(powerset(X0)))))
| ~ empty(X0) ),
inference(subsumption_resolution,[],[f1419,f354]) ).
fof(f1419,plain,
! [X0,X1] :
( empty(powerset(X0))
| ~ in(X1,sK20(sK8(sK8(powerset(X0)))))
| ~ empty(X0) ),
inference(resolution,[],[f1322,f808]) ).
fof(f1322,plain,
! [X0] :
( in(sK20(sK8(sK8(X0))),X0)
| empty(X0) ),
inference(duplicate_literal_removal,[],[f1321]) ).
fof(f1321,plain,
! [X0] :
( empty(X0)
| empty(X0)
| in(sK20(sK8(sK8(X0))),X0) ),
inference(resolution,[],[f1200,f517]) ).
fof(f1317,plain,
! [X0] :
( finite(sK20(sK8(sK7(powerset(X0)))))
| ~ finite(X0) ),
inference(subsumption_resolution,[],[f1312,f354]) ).
fof(f1312,plain,
! [X0] :
( empty(powerset(X0))
| finite(sK20(sK8(sK7(powerset(X0)))))
| ~ finite(X0) ),
inference(resolution,[],[f1199,f428]) ).
fof(f1402,plain,
! [X0] :
( empty(sK20(powerset(X0)))
| element(sK20(sK8(sK7(sK20(powerset(X0))))),X0) ),
inference(resolution,[],[f1314,f938]) ).
fof(f1412,plain,
! [X0] :
( ~ finite(X0)
| finite(sK20(sK8(sK7(powerset(X0))))) ),
inference(subsumption_resolution,[],[f1395,f354]) ).
fof(f1395,plain,
! [X0] :
( empty(powerset(X0))
| ~ finite(X0)
| finite(sK20(sK8(sK7(powerset(X0))))) ),
inference(resolution,[],[f1314,f682]) ).
fof(f1411,plain,
! [X0,X1] :
( ~ in(X1,sK20(sK8(sK7(powerset(X0)))))
| ~ empty(X0) ),
inference(subsumption_resolution,[],[f1394,f354]) ).
fof(f1394,plain,
! [X0,X1] :
( empty(powerset(X0))
| ~ in(X1,sK20(sK8(sK7(powerset(X0)))))
| ~ empty(X0) ),
inference(resolution,[],[f1314,f808]) ).
fof(f1314,plain,
! [X0] :
( in(sK20(sK8(sK7(X0))),X0)
| empty(X0) ),
inference(duplicate_literal_removal,[],[f1313]) ).
fof(f1313,plain,
! [X0] :
( empty(X0)
| empty(X0)
| in(sK20(sK8(sK7(X0))),X0) ),
inference(resolution,[],[f1199,f517]) ).
fof(f1309,plain,
! [X0] :
( finite(sK20(sK7(sK8(powerset(X0)))))
| ~ finite(X0) ),
inference(subsumption_resolution,[],[f1304,f354]) ).
fof(f1304,plain,
! [X0] :
( empty(powerset(X0))
| finite(sK20(sK7(sK8(powerset(X0)))))
| ~ finite(X0) ),
inference(resolution,[],[f1170,f428]) ).
fof(f1377,plain,
! [X0] :
( empty(sK20(powerset(X0)))
| element(sK20(sK7(sK8(sK20(powerset(X0))))),X0) ),
inference(resolution,[],[f1306,f938]) ).
fof(f1387,plain,
! [X0] :
( ~ finite(X0)
| finite(sK20(sK7(sK8(powerset(X0))))) ),
inference(subsumption_resolution,[],[f1370,f354]) ).
fof(f1370,plain,
! [X0] :
( empty(powerset(X0))
| ~ finite(X0)
| finite(sK20(sK7(sK8(powerset(X0))))) ),
inference(resolution,[],[f1306,f682]) ).
fof(f1386,plain,
! [X0,X1] :
( ~ in(X1,sK20(sK7(sK8(powerset(X0)))))
| ~ empty(X0) ),
inference(subsumption_resolution,[],[f1369,f354]) ).
fof(f1369,plain,
! [X0,X1] :
( empty(powerset(X0))
| ~ in(X1,sK20(sK7(sK8(powerset(X0)))))
| ~ empty(X0) ),
inference(resolution,[],[f1306,f808]) ).
fof(f1306,plain,
! [X0] :
( in(sK20(sK7(sK8(X0))),X0)
| empty(X0) ),
inference(duplicate_literal_removal,[],[f1305]) ).
fof(f1305,plain,
! [X0] :
( empty(X0)
| empty(X0)
| in(sK20(sK7(sK8(X0))),X0) ),
inference(resolution,[],[f1170,f517]) ).
fof(f1365,plain,
! [X0] :
( ~ empty(X0)
| empty_set = sK20(sK7(sK22(sK20(sK8(sK22(X0)))))) ),
inference(resolution,[],[f1349,f1086]) ).
fof(f1364,plain,
! [X0] :
( ~ empty(X0)
| empty_set = sK20(sK7(powerset(sK20(sK8(sK22(X0)))))) ),
inference(resolution,[],[f1349,f1070]) ).
fof(f1363,plain,
! [X0] :
( ~ empty(X0)
| empty_set = sK20(sK22(sK20(sK8(sK22(X0))))) ),
inference(resolution,[],[f1349,f971]) ).
fof(f1362,plain,
! [X0] :
( ~ empty(X0)
| empty_set = sK20(powerset(sK20(powerset(sK20(sK8(sK22(X0))))))) ),
inference(resolution,[],[f1349,f843]) ).
fof(f1361,plain,
! [X0] :
( ~ empty(X0)
| empty_set = sK20(powerset(sK20(sK8(sK22(X0))))) ),
inference(resolution,[],[f1349,f841]) ).
fof(f1360,plain,
! [X0,X1] :
( ~ empty(X0)
| sK20(powerset(X1)) = sK20(sK8(sK22(X0)))
| ~ empty(X1) ),
inference(resolution,[],[f1349,f840]) ).
fof(f1359,plain,
! [X0,X1] :
( ~ empty(X0)
| sK20(sK8(sK22(X0))) = X1
| ~ empty(X1) ),
inference(resolution,[],[f1349,f528]) ).
fof(f1358,plain,
! [X0] :
( ~ empty(X0)
| empty_set = sK20(sK8(sK22(X0))) ),
inference(resolution,[],[f1349,f430]) ).
fof(f1349,plain,
! [X0] :
( empty(sK20(sK8(sK22(X0))))
| ~ empty(X0) ),
inference(resolution,[],[f1203,f747]) ).
fof(f1357,plain,
! [X0] :
( ~ join_complete_relstr(X0)
| ~ upper_bounded_relstr(X0)
| ~ antisymmetric_relstr(X0)
| ~ reflexive_relstr(X0)
| empty_carrier(X0)
| ~ rel_str(X0)
| with_suprema_relstr(X0) ),
inference(resolution,[],[f478,f476]) ).
fof(f478,plain,
! [X0] :
( sP3(X0)
| ~ join_complete_relstr(X0)
| ~ upper_bounded_relstr(X0)
| ~ antisymmetric_relstr(X0)
| ~ reflexive_relstr(X0)
| empty_carrier(X0)
| ~ rel_str(X0) ),
inference(cnf_transformation,[],[f262]) ).
fof(f262,plain,
! [X0] :
( sP3(X0)
| ~ join_complete_relstr(X0)
| ~ upper_bounded_relstr(X0)
| ~ antisymmetric_relstr(X0)
| ~ reflexive_relstr(X0)
| empty_carrier(X0)
| ~ rel_str(X0) ),
inference(definition_folding,[],[f196,f261]) ).
fof(f261,plain,
! [X0] :
( ( upper_bounded_relstr(X0)
& with_suprema_relstr(X0)
& antisymmetric_relstr(X0)
& reflexive_relstr(X0)
& ~ empty_carrier(X0) )
| ~ sP3(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP3])]) ).
fof(f196,plain,
! [X0] :
( ( upper_bounded_relstr(X0)
& with_suprema_relstr(X0)
& antisymmetric_relstr(X0)
& reflexive_relstr(X0)
& ~ empty_carrier(X0) )
| ~ join_complete_relstr(X0)
| ~ upper_bounded_relstr(X0)
| ~ antisymmetric_relstr(X0)
| ~ reflexive_relstr(X0)
| empty_carrier(X0)
| ~ rel_str(X0) ),
inference(flattening,[],[f195]) ).
fof(f195,plain,
! [X0] :
( ( upper_bounded_relstr(X0)
& with_suprema_relstr(X0)
& antisymmetric_relstr(X0)
& reflexive_relstr(X0)
& ~ empty_carrier(X0) )
| ~ join_complete_relstr(X0)
| ~ upper_bounded_relstr(X0)
| ~ antisymmetric_relstr(X0)
| ~ reflexive_relstr(X0)
| empty_carrier(X0)
| ~ rel_str(X0) ),
inference(ennf_transformation,[],[f7]) ).
fof(f7,axiom,
! [X0] :
( rel_str(X0)
=> ( ( join_complete_relstr(X0)
& upper_bounded_relstr(X0)
& antisymmetric_relstr(X0)
& reflexive_relstr(X0)
& ~ empty_carrier(X0) )
=> ( upper_bounded_relstr(X0)
& with_suprema_relstr(X0)
& antisymmetric_relstr(X0)
& reflexive_relstr(X0)
& ~ empty_carrier(X0) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc14_waybel_0) ).
fof(f1356,plain,
! [X0,X1] :
( ~ empty(X0)
| in(sK23(X1,sK20(sK8(sK22(X0)))),X1)
| sK20(sK8(sK22(X0))) = X1 ),
inference(resolution,[],[f1203,f525]) ).
fof(f1353,plain,
! [X0,X1] :
( ~ empty(X0)
| in(sK23(sK20(sK8(sK22(X0))),X1),X1)
| sK20(sK8(sK22(X0))) = X1 ),
inference(resolution,[],[f1203,f525]) ).
fof(f1352,plain,
! [X0] :
( ~ empty(X0)
| empty(sK20(sK8(sK22(X0)))) ),
inference(resolution,[],[f1203,f1176]) ).
fof(f1351,plain,
! [X0] :
( ~ empty(X0)
| empty(sK20(sK8(sK22(X0)))) ),
inference(resolution,[],[f1203,f1075]) ).
fof(f1350,plain,
! [X0] :
( ~ empty(X0)
| empty(sK20(sK8(sK22(X0)))) ),
inference(resolution,[],[f1203,f1036]) ).
fof(f1203,plain,
! [X0,X1] :
( ~ in(X0,sK20(sK8(sK22(X1))))
| ~ empty(X1) ),
inference(resolution,[],[f1201,f808]) ).
fof(f1323,plain,
! [X0,X1] :
( element(X1,X0)
| ~ in(X1,sK20(sK8(sK8(powerset(X0))))) ),
inference(subsumption_resolution,[],[f1318,f354]) ).
fof(f1318,plain,
! [X0,X1] :
( empty(powerset(X0))
| element(X1,X0)
| ~ in(X1,sK20(sK8(sK8(powerset(X0))))) ),
inference(resolution,[],[f1200,f537]) ).
fof(f1200,plain,
! [X0] :
( element(sK20(sK8(sK8(X0))),X0)
| empty(X0) ),
inference(subsumption_resolution,[],[f1187,f417]) ).
fof(f1187,plain,
! [X0] :
( empty(sK8(X0))
| element(sK20(sK8(sK8(X0))),X0)
| empty(X0) ),
inference(resolution,[],[f1176,f931]) ).
fof(f1315,plain,
! [X0,X1] :
( element(X1,X0)
| ~ in(X1,sK20(sK8(sK7(powerset(X0))))) ),
inference(subsumption_resolution,[],[f1310,f354]) ).
fof(f1310,plain,
! [X0,X1] :
( empty(powerset(X0))
| element(X1,X0)
| ~ in(X1,sK20(sK8(sK7(powerset(X0))))) ),
inference(resolution,[],[f1199,f537]) ).
fof(f1199,plain,
! [X0] :
( element(sK20(sK8(sK7(X0))),X0)
| empty(X0) ),
inference(subsumption_resolution,[],[f1186,f415]) ).
fof(f1186,plain,
! [X0] :
( empty(sK7(X0))
| element(sK20(sK8(sK7(X0))),X0)
| empty(X0) ),
inference(resolution,[],[f1176,f930]) ).
fof(f1307,plain,
! [X0,X1] :
( element(X1,X0)
| ~ in(X1,sK20(sK7(sK8(powerset(X0))))) ),
inference(subsumption_resolution,[],[f1302,f354]) ).
fof(f1302,plain,
! [X0,X1] :
( empty(powerset(X0))
| element(X1,X0)
| ~ in(X1,sK20(sK7(sK8(powerset(X0))))) ),
inference(resolution,[],[f1170,f537]) ).
fof(f1170,plain,
! [X0] :
( element(sK20(sK7(sK8(X0))),X0)
| empty(X0) ),
inference(subsumption_resolution,[],[f1167,f417]) ).
fof(f1167,plain,
! [X0] :
( element(sK20(sK7(sK8(X0))),X0)
| empty(X0)
| empty(sK8(X0)) ),
inference(resolution,[],[f931,f1036]) ).
fof(f1297,plain,
! [X0,X1] :
( powerset(X1) = X0
| ~ in(sK23(X0,powerset(X1)),X0)
| ~ subset(sK23(X0,powerset(X1)),X1) ),
inference(resolution,[],[f526,f750]) ).
fof(f526,plain,
! [X0,X1] :
( ~ in(sK23(X0,X1),X1)
| X0 = X1
| ~ in(sK23(X0,X1),X0) ),
inference(cnf_transformation,[],[f307]) ).
fof(f307,plain,
! [X0,X1] :
( X0 = X1
| ( ( ~ in(sK23(X0,X1),X1)
| ~ in(sK23(X0,X1),X0) )
& ( in(sK23(X0,X1),X1)
| in(sK23(X0,X1),X0) ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK23])],[f305,f306]) ).
fof(f306,plain,
! [X0,X1] :
( ? [X2] :
( ( ~ in(X2,X1)
| ~ in(X2,X0) )
& ( in(X2,X1)
| in(X2,X0) ) )
=> ( ( ~ in(sK23(X0,X1),X1)
| ~ in(sK23(X0,X1),X0) )
& ( in(sK23(X0,X1),X1)
| in(sK23(X0,X1),X0) ) ) ),
introduced(choice_axiom,[]) ).
fof(f305,plain,
! [X0,X1] :
( X0 = X1
| ? [X2] :
( ( ~ in(X2,X1)
| ~ in(X2,X0) )
& ( in(X2,X1)
| in(X2,X0) ) ) ),
inference(nnf_transformation,[],[f245]) ).
fof(f245,plain,
! [X0,X1] :
( X0 = X1
| ? [X2] :
( in(X2,X0)
<~> in(X2,X1) ) ),
inference(ennf_transformation,[],[f96]) ).
fof(f96,axiom,
! [X0,X1] :
( ! [X2] :
( in(X2,X0)
<=> in(X2,X1) )
=> X0 = X1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t2_tarski) ).
fof(f1291,plain,
! [X0] :
( ~ empty(X0)
| empty_set = sK20(sK7(sK22(sK20(sK8(powerset(X0)))))) ),
inference(resolution,[],[f1276,f1086]) ).
fof(f1290,plain,
! [X0] :
( ~ empty(X0)
| empty_set = sK20(sK7(powerset(sK20(sK8(powerset(X0)))))) ),
inference(resolution,[],[f1276,f1070]) ).
fof(f1289,plain,
! [X0] :
( ~ empty(X0)
| empty_set = sK20(sK22(sK20(sK8(powerset(X0))))) ),
inference(resolution,[],[f1276,f971]) ).
fof(f1288,plain,
! [X0] :
( ~ empty(X0)
| empty_set = sK20(powerset(sK20(powerset(sK20(sK8(powerset(X0))))))) ),
inference(resolution,[],[f1276,f843]) ).
fof(f1287,plain,
! [X0] :
( ~ empty(X0)
| empty_set = sK20(powerset(sK20(sK8(powerset(X0))))) ),
inference(resolution,[],[f1276,f841]) ).
fof(f1286,plain,
! [X0,X1] :
( ~ empty(X0)
| sK20(powerset(X1)) = sK20(sK8(powerset(X0)))
| ~ empty(X1) ),
inference(resolution,[],[f1276,f840]) ).
fof(f1285,plain,
! [X0,X1] :
( ~ empty(X0)
| sK20(sK8(powerset(X0))) = X1
| ~ empty(X1) ),
inference(resolution,[],[f1276,f528]) ).
fof(f1284,plain,
! [X0] :
( ~ empty(X0)
| empty_set = sK20(sK8(powerset(X0))) ),
inference(resolution,[],[f1276,f430]) ).
fof(f1276,plain,
! [X0] :
( empty(sK20(sK8(powerset(X0))))
| ~ empty(X0) ),
inference(resolution,[],[f1178,f747]) ).
fof(f1283,plain,
! [X0,X1] :
( ~ empty(X0)
| in(sK23(X1,sK20(sK8(powerset(X0)))),X1)
| sK20(sK8(powerset(X0))) = X1 ),
inference(resolution,[],[f1178,f525]) ).
fof(f1280,plain,
! [X0,X1] :
( ~ empty(X0)
| in(sK23(sK20(sK8(powerset(X0))),X1),X1)
| sK20(sK8(powerset(X0))) = X1 ),
inference(resolution,[],[f1178,f525]) ).
fof(f1279,plain,
! [X0] :
( ~ empty(X0)
| empty(sK20(sK8(powerset(X0)))) ),
inference(resolution,[],[f1178,f1176]) ).
fof(f1278,plain,
! [X0] :
( ~ empty(X0)
| empty(sK20(sK8(powerset(X0)))) ),
inference(resolution,[],[f1178,f1075]) ).
fof(f1277,plain,
! [X0] :
( ~ empty(X0)
| empty(sK20(sK8(powerset(X0)))) ),
inference(resolution,[],[f1178,f1036]) ).
fof(f1178,plain,
! [X0,X1] :
( ~ in(X1,sK20(sK8(powerset(X0))))
| ~ empty(X0) ),
inference(subsumption_resolution,[],[f1173,f354]) ).
fof(f1173,plain,
! [X0,X1] :
( empty(powerset(X0))
| ~ empty(X0)
| ~ in(X1,sK20(sK8(powerset(X0)))) ),
inference(resolution,[],[f1169,f540]) ).
fof(f1205,plain,
! [X0] : ~ in(powerset(X0),sK20(sK8(sK22(X0)))),
inference(resolution,[],[f1201,f515]) ).
fof(f1240,plain,
! [X0,X1] :
( in(sK23(sK22(X0),X1),X1)
| sK22(X0) = X1
| finite(sK23(sK22(X0),X1))
| ~ finite(X0) ),
inference(resolution,[],[f525,f955]) ).
fof(f1239,plain,
! [X0,X1] :
( in(sK23(sK22(X0),X1),X1)
| sK22(X0) = X1
| in(sK23(sK22(X0),X1),powerset(X0)) ),
inference(resolution,[],[f525,f957]) ).
fof(f1238,plain,
! [X0,X1] :
( in(sK23(sK20(sK22(X0)),X1),X1)
| sK20(sK22(X0)) = X1
| ~ empty(X0) ),
inference(resolution,[],[f525,f962]) ).
fof(f1237,plain,
! [X0,X1] :
( in(sK23(sK20(sK7(sK22(X0))),X1),X1)
| sK20(sK7(sK22(X0))) = X1
| ~ empty(X0) ),
inference(resolution,[],[f525,f1059]) ).
fof(f1236,plain,
! [X0,X1] :
( in(sK23(sK20(sK7(powerset(X0))),X1),X1)
| sK20(sK7(powerset(X0))) = X1
| ~ empty(X0) ),
inference(resolution,[],[f525,f1038]) ).
fof(f1235,plain,
! [X0,X1] :
( in(sK23(sK20(powerset(X0)),X1),X1)
| sK20(powerset(X0)) = X1
| ~ empty(X0) ),
inference(resolution,[],[f525,f818]) ).
fof(f1234,plain,
! [X0,X1] :
( in(sK23(sK20(powerset(X0)),X1),X1)
| sK20(powerset(X0)) = X1
| element(sK23(sK20(powerset(X0)),X1),X0) ),
inference(resolution,[],[f525,f938]) ).
fof(f1233,plain,
! [X0,X1] :
( in(sK23(sK13(X0),X1),X1)
| sK13(X0) = X1
| ~ empty(the_carrier(X0))
| ~ rel_str(X0) ),
inference(resolution,[],[f525,f817]) ).
fof(f1232,plain,
! [X0,X1] :
( in(sK23(sK12(X0),X1),X1)
| sK12(X0) = X1
| ~ empty(the_carrier(X0))
| ~ rel_str(X0) ),
inference(resolution,[],[f525,f816]) ).
fof(f1231,plain,
! [X0,X1] :
( in(sK23(sK8(X0),X1),X1)
| sK8(X0) = X1
| element(sK23(sK8(X0),X1),X0)
| empty(X0) ),
inference(resolution,[],[f525,f931]) ).
fof(f1230,plain,
! [X0,X1] :
( in(sK23(sK7(X0),X1),X1)
| sK7(X0) = X1
| element(sK23(sK7(X0),X1),X0)
| empty(X0) ),
inference(resolution,[],[f525,f930]) ).
fof(f1228,plain,
! [X0,X1] :
( in(sK23(cast_as_carrier_subset(X0),X1),X1)
| cast_as_carrier_subset(X0) = X1
| ~ empty(the_carrier(X0))
| ~ one_sorted_str(X0) ),
inference(resolution,[],[f525,f809]) ).
fof(f1227,plain,
! [X0,X1] :
( in(sK23(powerset(X0),X1),X1)
| powerset(X0) = X1
| ~ finite(X0)
| finite(sK23(powerset(X0),X1)) ),
inference(resolution,[],[f525,f682]) ).
fof(f1226,plain,
! [X2,X0,X1] :
( in(sK23(powerset(X0),X1),X1)
| powerset(X0) = X1
| ~ in(X2,sK23(powerset(X0),X1))
| ~ empty(X0) ),
inference(resolution,[],[f525,f808]) ).
fof(f1224,plain,
! [X0,X1] :
( in(sK23(X0,X1),X1)
| X0 = X1
| ~ in(X0,sK23(X0,X1)) ),
inference(resolution,[],[f525,f515]) ).
fof(f1223,plain,
! [X0,X1] :
( in(sK23(X0,sK22(X1)),X0)
| sK22(X1) = X0
| finite(sK23(X0,sK22(X1)))
| ~ finite(X1) ),
inference(resolution,[],[f525,f955]) ).
fof(f1222,plain,
! [X0,X1] :
( in(sK23(X0,sK22(X1)),X0)
| sK22(X1) = X0
| in(sK23(X0,sK22(X1)),powerset(X1)) ),
inference(resolution,[],[f525,f957]) ).
fof(f1221,plain,
! [X0,X1] :
( in(sK23(X0,sK20(sK22(X1))),X0)
| sK20(sK22(X1)) = X0
| ~ empty(X1) ),
inference(resolution,[],[f525,f962]) ).
fof(f1220,plain,
! [X0,X1] :
( in(sK23(X0,sK20(sK7(sK22(X1)))),X0)
| sK20(sK7(sK22(X1))) = X0
| ~ empty(X1) ),
inference(resolution,[],[f525,f1059]) ).
fof(f1219,plain,
! [X0,X1] :
( in(sK23(X0,sK20(sK7(powerset(X1)))),X0)
| sK20(sK7(powerset(X1))) = X0
| ~ empty(X1) ),
inference(resolution,[],[f525,f1038]) ).
fof(f1218,plain,
! [X0,X1] :
( in(sK23(X0,sK20(powerset(X1))),X0)
| sK20(powerset(X1)) = X0
| ~ empty(X1) ),
inference(resolution,[],[f525,f818]) ).
fof(f1217,plain,
! [X0,X1] :
( in(sK23(X0,sK20(powerset(X1))),X0)
| sK20(powerset(X1)) = X0
| element(sK23(X0,sK20(powerset(X1))),X1) ),
inference(resolution,[],[f525,f938]) ).
fof(f1216,plain,
! [X0,X1] :
( in(sK23(X0,sK13(X1)),X0)
| sK13(X1) = X0
| ~ empty(the_carrier(X1))
| ~ rel_str(X1) ),
inference(resolution,[],[f525,f817]) ).
fof(f1215,plain,
! [X0,X1] :
( in(sK23(X0,sK12(X1)),X0)
| sK12(X1) = X0
| ~ empty(the_carrier(X1))
| ~ rel_str(X1) ),
inference(resolution,[],[f525,f816]) ).
fof(f1214,plain,
! [X0,X1] :
( in(sK23(X0,sK8(X1)),X0)
| sK8(X1) = X0
| element(sK23(X0,sK8(X1)),X1)
| empty(X1) ),
inference(resolution,[],[f525,f931]) ).
fof(f1213,plain,
! [X0,X1] :
( in(sK23(X0,sK7(X1)),X0)
| sK7(X1) = X0
| element(sK23(X0,sK7(X1)),X1)
| empty(X1) ),
inference(resolution,[],[f525,f930]) ).
fof(f1211,plain,
! [X0,X1] :
( in(sK23(X0,cast_as_carrier_subset(X1)),X0)
| cast_as_carrier_subset(X1) = X0
| ~ empty(the_carrier(X1))
| ~ one_sorted_str(X1) ),
inference(resolution,[],[f525,f809]) ).
fof(f1210,plain,
! [X0,X1] :
( in(sK23(X0,powerset(X1)),X0)
| powerset(X1) = X0
| ~ finite(X1)
| finite(sK23(X0,powerset(X1))) ),
inference(resolution,[],[f525,f682]) ).
fof(f1209,plain,
! [X2,X0,X1] :
( in(sK23(X0,powerset(X1)),X0)
| powerset(X1) = X0
| ~ in(X2,sK23(X0,powerset(X1)))
| ~ empty(X1) ),
inference(resolution,[],[f525,f808]) ).
fof(f1207,plain,
! [X0,X1] :
( in(sK23(X0,X1),X0)
| X0 = X1
| ~ in(X1,sK23(X0,X1)) ),
inference(resolution,[],[f525,f515]) ).
fof(f525,plain,
! [X0,X1] :
( in(sK23(X0,X1),X1)
| in(sK23(X0,X1),X0)
| X0 = X1 ),
inference(cnf_transformation,[],[f307]) ).
fof(f1202,plain,
! [X0] :
( finite(sK20(sK8(sK22(X0))))
| ~ finite(X0) ),
inference(subsumption_resolution,[],[f1196,f512]) ).
fof(f1196,plain,
! [X0] :
( empty(sK22(X0))
| finite(sK20(sK8(sK22(X0))))
| ~ finite(X0) ),
inference(resolution,[],[f1176,f955]) ).
fof(f1204,plain,
! [X0] :
( ~ finite(X0)
| finite(sK20(sK8(sK22(X0)))) ),
inference(resolution,[],[f1201,f682]) ).
fof(f1201,plain,
! [X0] : in(sK20(sK8(sK22(X0))),powerset(X0)),
inference(subsumption_resolution,[],[f1195,f512]) ).
fof(f1195,plain,
! [X0] :
( empty(sK22(X0))
| in(sK20(sK8(sK22(X0))),powerset(X0)) ),
inference(resolution,[],[f1176,f957]) ).
fof(f1180,plain,
! [X0] :
( ~ in(X0,sK20(sK8(X0)))
| empty(X0) ),
inference(resolution,[],[f1176,f515]) ).
fof(f1179,plain,
! [X0] :
( finite(sK20(sK8(powerset(X0))))
| ~ finite(X0) ),
inference(subsumption_resolution,[],[f1174,f354]) ).
fof(f1174,plain,
! [X0] :
( empty(powerset(X0))
| finite(sK20(sK8(powerset(X0))))
| ~ finite(X0) ),
inference(resolution,[],[f1169,f428]) ).
fof(f1190,plain,
! [X0] :
( empty(sK20(powerset(X0)))
| element(sK20(sK8(sK20(powerset(X0)))),X0) ),
inference(resolution,[],[f1176,f938]) ).
fof(f1198,plain,
! [X0] :
( ~ finite(X0)
| finite(sK20(sK8(powerset(X0)))) ),
inference(subsumption_resolution,[],[f1183,f354]) ).
fof(f1183,plain,
! [X0] :
( empty(powerset(X0))
| ~ finite(X0)
| finite(sK20(sK8(powerset(X0)))) ),
inference(resolution,[],[f1176,f682]) ).
fof(f1197,plain,
! [X0,X1] :
( ~ in(X1,sK20(sK8(powerset(X0))))
| ~ empty(X0) ),
inference(subsumption_resolution,[],[f1182,f354]) ).
fof(f1182,plain,
! [X0,X1] :
( empty(powerset(X0))
| ~ in(X1,sK20(sK8(powerset(X0))))
| ~ empty(X0) ),
inference(resolution,[],[f1176,f808]) ).
fof(f1176,plain,
! [X0] :
( in(sK20(sK8(X0)),X0)
| empty(X0) ),
inference(duplicate_literal_removal,[],[f1175]) ).
fof(f1175,plain,
! [X0] :
( empty(X0)
| empty(X0)
| in(sK20(sK8(X0)),X0) ),
inference(resolution,[],[f1169,f517]) ).
fof(f1169,plain,
! [X0] :
( element(sK20(sK8(X0)),X0)
| empty(X0) ),
inference(subsumption_resolution,[],[f1166,f417]) ).
fof(f1166,plain,
! [X0] :
( element(sK20(sK8(X0)),X0)
| empty(X0)
| empty(sK8(X0)) ),
inference(resolution,[],[f931,f747]) ).
fof(f931,plain,
! [X0,X1] :
( ~ in(X0,sK8(X1))
| element(X0,X1)
| empty(X1) ),
inference(resolution,[],[f537,f416]) ).
fof(f1134,plain,
! [X0] : ~ in(powerset(X0),sK20(sK7(sK7(sK22(X0))))),
inference(resolution,[],[f1130,f515]) ).
fof(f1164,plain,
! [X0] :
( ~ empty(the_carrier(X0))
| empty_carrier(X0)
| ~ rel_str(X0) ),
inference(global_subsumption,[],[f351,f350,f353,f364,f363,f362,f361,f360,f385,f384,f383,f382,f381,f380,f379,f378,f377,f376,f375,f374,f373,f396,f395,f394,f393,f392,f391,f390,f389,f388,f387,f386,f397,f412,f622,f411,f623,f410,f624,f409,f625,f408,f626,f407,f627,f406,f628,f405,f629,f404,f630,f403,f631,f402,f632,f401,f633,f399,f634,f468,f478,f480,f635,f488,f491,f492,f494,f500,f502,f507,f506,f521,f520,f523,f526,f525,f621,f535,f534,f533,f345,f346,f347,f352,f541,f542,f543,f544,f545,f546,f547,f548,f549,f550,f551,f552,f553,f554,f555,f556,f557,f558,f559,f560,f561,f562,f563,f564,f565,f566,f567,f568,f569,f570,f571,f572,f573,f574,f575,f576,f577,f578,f579,f580,f581,f582,f583,f584,f585,f586,f587,f588,f589,f590,f591,f592,f593,f594,f595,f596,f597,f598,f599,f600,f601,f602,f603,f604,f605,f606,f607,f608,f609,f610,f611,f612,f613,f614,f615,f616,f617,f618,f619,f620,f348,f354,f355,f356,f357,f358,f359,f365,f366,f367,f368,f369,f370,f371,f372,f398,f510,f512,f513,f514,f413,f429,f431,f447,f448,f449,f463,f464,f466,f467,f476,f508,f400,f415,f417,f418,f420,f421,f426,f427,f430,f509,f637,f638,f640,f529,f424,f433,f434,f435,f437,f511,f515,f516,f530,f531,f349,f414,f416,f419,f423,f674,f486,f673,f487,f490,f493,f496,f504,f505,f527,f528,f422,f428,f684,f692,f439,f689,f681,f686,f441,f442,f484,f485,f517,f752,f760,f518,f764,f747,f761,f766,f767,f769,f750,f754,f755,f756,f519,f779,f771,f773,f775,f777,f522,f524,f538,f781,f782,f783,f539,f682,f683,f728,f729,f735,f736,f751,f757,f758,f794,f797,f425,f800,f780,f805,f432,f498,f499,f540,f810,f821,f450,f835,f836,f837,f818,f839,f841,f846,f847,f842,f807,f804,f806,f453,f858,f859,f808,f861,f868,f869,f809,f872,f877,f878,f881,f882,f816,f883,f884,f885,f817,f887,f888,f889,f456,f856,f840,f891,f893,f894,f895,f879,f886,f890,f843,f900,f902,f903,f904,f457,f483,f489,f913,f915,f495,f916,f917,f919,f532,f920,f921,f923,f537,f925,f926,f927,f931,f932,f933,f934,f935,f936,f937,f938,f951,f940,f953,f954,f955,f959,f957,f961,f964,f962,f966,f967,f968,f969,f970,f971,f972,f974,f975,f976,f977,f980,f981,f973,f989,f992,f990,f436,f1007,f1008,f1009,f1010,f1011,f1012,f1013,f1014,f1015,f1016,f924,f930,f501,f1031,f1037,f1036,f1054,f1055,f1049,f1039,f1040,f1057,f1060,f1058,f1061,f1038,f1064,f1063,f1065,f1066,f1067,f1068,f1069,f503,f1056,f1076,f1077,f1059,f1080,f1079,f1081,f1082,f1083,f1084,f1085,f1070,f1087,f1089,f1090,f1091,f1092,f1093,f1094,f1097,f1098,f1088,f1106,f1107,f1108,f472,f1075,f1127,f1128,f1129,f1120,f1078,f1111,f1130,f1132,f1133,f1134,f1131,f1086,f1136,f1138,f1139,f1140,f1141,f1142,f1143,f1146,f1147,f1137,f1157,f1158,f1159,f497,f1160,f1161]) ).
fof(f1165,plain,
! [X0] :
( ~ rel_str(X0)
| ~ reflexive_relstr(X0)
| empty_carrier(X0)
| in(sK16(X0),powerset(the_carrier(X0))) ),
inference(subsumption_resolution,[],[f1163,f354]) ).
fof(f1163,plain,
! [X0] :
( ~ rel_str(X0)
| ~ reflexive_relstr(X0)
| empty_carrier(X0)
| empty(powerset(the_carrier(X0)))
| in(sK16(X0),powerset(the_carrier(X0))) ),
inference(resolution,[],[f497,f517]) ).
fof(f1161,plain,
! [X0,X1] :
( ~ rel_str(X0)
| ~ reflexive_relstr(X0)
| empty_carrier(X0)
| ~ empty(the_carrier(X0))
| ~ in(X1,sK16(X0)) ),
inference(resolution,[],[f497,f540]) ).
fof(f1160,plain,
! [X0,X1] :
( ~ rel_str(X0)
| ~ reflexive_relstr(X0)
| empty_carrier(X0)
| element(X1,the_carrier(X0))
| ~ in(X1,sK16(X0)) ),
inference(resolution,[],[f497,f537]) ).
fof(f497,plain,
! [X0] :
( element(sK16(X0),powerset(the_carrier(X0)))
| ~ rel_str(X0)
| ~ reflexive_relstr(X0)
| empty_carrier(X0) ),
inference(cnf_transformation,[],[f292]) ).
fof(f292,plain,
! [X0] :
( ( finite(sK16(X0))
& ~ empty(sK16(X0))
& element(sK16(X0),powerset(the_carrier(X0))) )
| ~ rel_str(X0)
| ~ reflexive_relstr(X0)
| empty_carrier(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK16])],[f222,f291]) ).
fof(f291,plain,
! [X0] :
( ? [X1] :
( finite(X1)
& ~ empty(X1)
& element(X1,powerset(the_carrier(X0))) )
=> ( finite(sK16(X0))
& ~ empty(sK16(X0))
& element(sK16(X0),powerset(the_carrier(X0))) ) ),
introduced(choice_axiom,[]) ).
fof(f222,plain,
! [X0] :
( ? [X1] :
( finite(X1)
& ~ empty(X1)
& element(X1,powerset(the_carrier(X0))) )
| ~ rel_str(X0)
| ~ reflexive_relstr(X0)
| empty_carrier(X0) ),
inference(flattening,[],[f221]) ).
fof(f221,plain,
! [X0] :
( ? [X1] :
( finite(X1)
& ~ empty(X1)
& element(X1,powerset(the_carrier(X0))) )
| ~ rel_str(X0)
| ~ reflexive_relstr(X0)
| empty_carrier(X0) ),
inference(ennf_transformation,[],[f118]) ).
fof(f118,plain,
! [X0] :
( ( rel_str(X0)
& reflexive_relstr(X0)
& ~ empty_carrier(X0) )
=> ? [X1] :
( finite(X1)
& ~ empty(X1)
& element(X1,powerset(the_carrier(X0))) ) ),
inference(pure_predicate_removal,[],[f110]) ).
fof(f110,plain,
! [X0] :
( ( rel_str(X0)
& reflexive_relstr(X0)
& ~ empty_carrier(X0) )
=> ? [X1] :
( directed_subset(X1,X0)
& finite(X1)
& ~ empty(X1)
& element(X1,powerset(the_carrier(X0))) ) ),
inference(pure_predicate_removal,[],[f77]) ).
fof(f77,axiom,
! [X0] :
( ( rel_str(X0)
& reflexive_relstr(X0)
& ~ empty_carrier(X0) )
=> ? [X1] :
( filtered_subset(X1,X0)
& directed_subset(X1,X0)
& finite(X1)
& ~ empty(X1)
& element(X1,powerset(the_carrier(X0))) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc2_waybel_0) ).
fof(f1159,plain,
( empty(sK7(sK22(empty_set)))
| in(empty_set,sK7(sK22(empty_set))) ),
inference(resolution,[],[f1158,f517]) ).
fof(f1158,plain,
element(empty_set,sK7(sK22(empty_set))),
inference(superposition,[],[f508,f1137]) ).
fof(f1157,plain,
( in(empty_set,sK7(sK22(empty_set)))
| empty(sK7(sK22(empty_set))) ),
inference(superposition,[],[f747,f1137]) ).
fof(f1137,plain,
empty_set = sK20(sK7(sK22(empty_set))),
inference(resolution,[],[f1086,f352]) ).
fof(f1147,plain,
empty_set = sK20(sK7(sK22(empty_set))),
inference(forward_demodulation,[],[f1145,f637]) ).
fof(f1145,plain,
empty_set = sK20(sK7(sK22(sK32))),
inference(resolution,[],[f1086,f548]) ).
fof(f1146,plain,
empty_set = sK20(sK7(sK22(empty_set))),
inference(forward_demodulation,[],[f1144,f638]) ).
fof(f1144,plain,
! [X0] : empty_set = sK20(sK7(sK22(sK21(X0)))),
inference(resolution,[],[f1086,f510]) ).
fof(f1143,plain,
! [X0] :
( empty_set = sK20(sK7(sK22(sK20(sK7(sK22(X0))))))
| ~ empty(X0) ),
inference(resolution,[],[f1086,f1079]) ).
fof(f1142,plain,
! [X0] :
( empty_set = sK20(sK7(sK22(sK20(sK7(powerset(X0))))))
| ~ empty(X0) ),
inference(resolution,[],[f1086,f1063]) ).
fof(f1141,plain,
! [X0] :
( empty_set = sK20(sK7(sK22(sK20(sK22(X0)))))
| ~ empty(X0) ),
inference(resolution,[],[f1086,f966]) ).
fof(f1140,plain,
! [X0] :
( empty_set = sK20(sK7(sK22(sK20(powerset(X0)))))
| ~ empty(X0) ),
inference(resolution,[],[f1086,f839]) ).
fof(f1139,plain,
! [X0] :
( empty_set = sK20(sK7(sK22(sK13(X0))))
| ~ rel_str(X0)
| ~ empty(the_carrier(X0)) ),
inference(resolution,[],[f1086,f887]) ).
fof(f1138,plain,
! [X0] :
( empty_set = sK20(sK7(sK22(sK12(X0))))
| ~ rel_str(X0)
| ~ empty(the_carrier(X0)) ),
inference(resolution,[],[f1086,f883]) ).
fof(f1136,plain,
! [X0] :
( empty_set = sK20(sK7(sK22(cast_as_carrier_subset(X0))))
| ~ one_sorted_str(X0)
| ~ empty(the_carrier(X0)) ),
inference(resolution,[],[f1086,f872]) ).
fof(f1086,plain,
! [X0] :
( ~ empty(X0)
| empty_set = sK20(sK7(sK22(X0))) ),
inference(resolution,[],[f1079,f430]) ).
fof(f1131,plain,
! [X0] :
( finite(sK20(sK7(sK7(sK22(X0)))))
| ~ finite(X0) ),
inference(subsumption_resolution,[],[f1126,f512]) ).
fof(f1126,plain,
! [X0] :
( empty(sK22(X0))
| finite(sK20(sK7(sK7(sK22(X0)))))
| ~ finite(X0) ),
inference(resolution,[],[f1075,f955]) ).
fof(f1133,plain,
! [X0] :
( ~ finite(X0)
| finite(sK20(sK7(sK7(sK22(X0))))) ),
inference(resolution,[],[f1130,f682]) ).
fof(f1132,plain,
! [X0,X1] :
( ~ in(X0,sK20(sK7(sK7(sK22(X1)))))
| ~ empty(X1) ),
inference(resolution,[],[f1130,f808]) ).
fof(f1130,plain,
! [X0] : in(sK20(sK7(sK7(sK22(X0)))),powerset(X0)),
inference(subsumption_resolution,[],[f1125,f512]) ).
fof(f1125,plain,
! [X0] :
( empty(sK22(X0))
| in(sK20(sK7(sK7(sK22(X0)))),powerset(X0)) ),
inference(resolution,[],[f1075,f957]) ).
fof(f1111,plain,
! [X0] :
( ~ in(X0,sK20(sK7(sK7(X0))))
| empty(X0) ),
inference(resolution,[],[f1075,f515]) ).
fof(f1078,plain,
! [X0] :
( finite(sK20(sK7(sK7(powerset(X0)))))
| ~ finite(X0) ),
inference(subsumption_resolution,[],[f1073,f354]) ).
fof(f1073,plain,
! [X0] :
( empty(powerset(X0))
| finite(sK20(sK7(sK7(powerset(X0)))))
| ~ finite(X0) ),
inference(resolution,[],[f1056,f428]) ).
fof(f1120,plain,
! [X0] :
( empty(sK20(powerset(X0)))
| element(sK20(sK7(sK7(sK20(powerset(X0))))),X0) ),
inference(resolution,[],[f1075,f938]) ).
fof(f1128,plain,
! [X0] :
( ~ finite(X0)
| finite(sK20(sK7(sK7(powerset(X0))))) ),
inference(subsumption_resolution,[],[f1114,f354]) ).
fof(f1114,plain,
! [X0] :
( empty(powerset(X0))
| ~ finite(X0)
| finite(sK20(sK7(sK7(powerset(X0))))) ),
inference(resolution,[],[f1075,f682]) ).
fof(f1127,plain,
! [X0,X1] :
( ~ in(X1,sK20(sK7(sK7(powerset(X0)))))
| ~ empty(X0) ),
inference(subsumption_resolution,[],[f1113,f354]) ).
fof(f1113,plain,
! [X0,X1] :
( empty(powerset(X0))
| ~ in(X1,sK20(sK7(sK7(powerset(X0)))))
| ~ empty(X0) ),
inference(resolution,[],[f1075,f808]) ).
fof(f1075,plain,
! [X0] :
( in(sK20(sK7(sK7(X0))),X0)
| empty(X0) ),
inference(duplicate_literal_removal,[],[f1074]) ).
fof(f1074,plain,
! [X0] :
( empty(X0)
| empty(X0)
| in(sK20(sK7(sK7(X0))),X0) ),
inference(resolution,[],[f1056,f517]) ).
fof(f472,plain,
! [X0] :
( with_infima_relstr(X0)
| ~ join_complete_relstr(X0)
| ~ antisymmetric_relstr(X0)
| ~ reflexive_relstr(X0)
| empty_carrier(X0)
| ~ rel_str(X0) ),
inference(cnf_transformation,[],[f194]) ).
fof(f194,plain,
! [X0] :
( ( with_infima_relstr(X0)
& antisymmetric_relstr(X0)
& reflexive_relstr(X0)
& ~ empty_carrier(X0) )
| ~ join_complete_relstr(X0)
| ~ antisymmetric_relstr(X0)
| ~ reflexive_relstr(X0)
| empty_carrier(X0)
| ~ rel_str(X0) ),
inference(flattening,[],[f193]) ).
fof(f193,plain,
! [X0] :
( ( with_infima_relstr(X0)
& antisymmetric_relstr(X0)
& reflexive_relstr(X0)
& ~ empty_carrier(X0) )
| ~ join_complete_relstr(X0)
| ~ antisymmetric_relstr(X0)
| ~ reflexive_relstr(X0)
| empty_carrier(X0)
| ~ rel_str(X0) ),
inference(ennf_transformation,[],[f6]) ).
fof(f6,axiom,
! [X0] :
( rel_str(X0)
=> ( ( join_complete_relstr(X0)
& antisymmetric_relstr(X0)
& reflexive_relstr(X0)
& ~ empty_carrier(X0) )
=> ( with_infima_relstr(X0)
& antisymmetric_relstr(X0)
& reflexive_relstr(X0)
& ~ empty_carrier(X0) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc13_waybel_0) ).
fof(f1108,plain,
( empty(sK7(powerset(empty_set)))
| in(empty_set,sK7(powerset(empty_set))) ),
inference(resolution,[],[f1107,f517]) ).
fof(f1107,plain,
element(empty_set,sK7(powerset(empty_set))),
inference(superposition,[],[f508,f1088]) ).
fof(f1106,plain,
( in(empty_set,sK7(powerset(empty_set)))
| empty(sK7(powerset(empty_set))) ),
inference(superposition,[],[f747,f1088]) ).
fof(f1088,plain,
empty_set = sK20(sK7(powerset(empty_set))),
inference(resolution,[],[f1070,f352]) ).
fof(f1098,plain,
empty_set = sK20(sK7(powerset(empty_set))),
inference(forward_demodulation,[],[f1096,f637]) ).
fof(f1096,plain,
empty_set = sK20(sK7(powerset(sK32))),
inference(resolution,[],[f1070,f548]) ).
fof(f1097,plain,
empty_set = sK20(sK7(powerset(empty_set))),
inference(forward_demodulation,[],[f1095,f638]) ).
fof(f1095,plain,
! [X0] : empty_set = sK20(sK7(powerset(sK21(X0)))),
inference(resolution,[],[f1070,f510]) ).
fof(f1094,plain,
! [X0] :
( empty_set = sK20(sK7(powerset(sK20(sK7(sK22(X0))))))
| ~ empty(X0) ),
inference(resolution,[],[f1070,f1079]) ).
fof(f1093,plain,
! [X0] :
( empty_set = sK20(sK7(powerset(sK20(sK7(powerset(X0))))))
| ~ empty(X0) ),
inference(resolution,[],[f1070,f1063]) ).
fof(f1092,plain,
! [X0] :
( empty_set = sK20(sK7(powerset(sK20(sK22(X0)))))
| ~ empty(X0) ),
inference(resolution,[],[f1070,f966]) ).
fof(f1091,plain,
! [X0] :
( empty_set = sK20(sK7(powerset(sK20(powerset(X0)))))
| ~ empty(X0) ),
inference(resolution,[],[f1070,f839]) ).
fof(f1090,plain,
! [X0] :
( empty_set = sK20(sK7(powerset(sK13(X0))))
| ~ rel_str(X0)
| ~ empty(the_carrier(X0)) ),
inference(resolution,[],[f1070,f887]) ).
fof(f1089,plain,
! [X0] :
( empty_set = sK20(sK7(powerset(sK12(X0))))
| ~ rel_str(X0)
| ~ empty(the_carrier(X0)) ),
inference(resolution,[],[f1070,f883]) ).
fof(f1087,plain,
! [X0] :
( empty_set = sK20(sK7(powerset(cast_as_carrier_subset(X0))))
| ~ one_sorted_str(X0)
| ~ empty(the_carrier(X0)) ),
inference(resolution,[],[f1070,f872]) ).
fof(f1070,plain,
! [X0] :
( ~ empty(X0)
| empty_set = sK20(sK7(powerset(X0))) ),
inference(resolution,[],[f1063,f430]) ).
fof(f1085,plain,
! [X0,X1] :
( ~ empty(X0)
| sK20(sK7(sK22(X0))) = X1
| ~ empty(X1) ),
inference(resolution,[],[f1079,f528]) ).
fof(f1084,plain,
! [X0] :
( ~ empty(X0)
| empty_set = sK20(powerset(sK20(sK7(sK22(X0))))) ),
inference(resolution,[],[f1079,f841]) ).
fof(f1083,plain,
! [X0,X1] :
( ~ empty(X0)
| sK20(powerset(X1)) = sK20(sK7(sK22(X0)))
| ~ empty(X1) ),
inference(resolution,[],[f1079,f840]) ).
fof(f1082,plain,
! [X0] :
( ~ empty(X0)
| empty_set = sK20(powerset(sK20(powerset(sK20(sK7(sK22(X0))))))) ),
inference(resolution,[],[f1079,f843]) ).
fof(f1081,plain,
! [X0] :
( ~ empty(X0)
| empty_set = sK20(sK22(sK20(sK7(sK22(X0))))) ),
inference(resolution,[],[f1079,f971]) ).
fof(f1079,plain,
! [X0] :
( empty(sK20(sK7(sK22(X0))))
| ~ empty(X0) ),
inference(resolution,[],[f1059,f747]) ).
fof(f1080,plain,
! [X0] :
( ~ empty(X0)
| empty(sK20(sK7(sK22(X0)))) ),
inference(resolution,[],[f1059,f1036]) ).
fof(f1059,plain,
! [X0,X1] :
( ~ in(X0,sK20(sK7(sK22(X1))))
| ~ empty(X1) ),
inference(resolution,[],[f1057,f808]) ).
fof(f1076,plain,
! [X0,X1] :
( element(X1,X0)
| ~ in(X1,sK20(sK7(sK7(powerset(X0))))) ),
inference(subsumption_resolution,[],[f1071,f354]) ).
fof(f1071,plain,
! [X0,X1] :
( empty(powerset(X0))
| element(X1,X0)
| ~ in(X1,sK20(sK7(sK7(powerset(X0))))) ),
inference(resolution,[],[f1056,f537]) ).
fof(f1056,plain,
! [X0] :
( element(sK20(sK7(sK7(X0))),X0)
| empty(X0) ),
inference(subsumption_resolution,[],[f1046,f415]) ).
fof(f1046,plain,
! [X0] :
( empty(sK7(X0))
| element(sK20(sK7(sK7(X0))),X0)
| empty(X0) ),
inference(resolution,[],[f1036,f930]) ).
fof(f503,plain,
! [X0] :
( ~ empty(sK18(X0))
| ~ rel_str(X0)
| ~ transitive_relstr(X0)
| ~ reflexive_relstr(X0)
| empty_carrier(X0) ),
inference(cnf_transformation,[],[f296]) ).
fof(f1069,plain,
! [X0,X1] :
( ~ empty(X0)
| sK20(sK7(powerset(X0))) = X1
| ~ empty(X1) ),
inference(resolution,[],[f1063,f528]) ).
fof(f1068,plain,
! [X0] :
( ~ empty(X0)
| empty_set = sK20(powerset(sK20(sK7(powerset(X0))))) ),
inference(resolution,[],[f1063,f841]) ).
fof(f1067,plain,
! [X0,X1] :
( ~ empty(X0)
| sK20(powerset(X1)) = sK20(sK7(powerset(X0)))
| ~ empty(X1) ),
inference(resolution,[],[f1063,f840]) ).
fof(f1066,plain,
! [X0] :
( ~ empty(X0)
| empty_set = sK20(powerset(sK20(powerset(sK20(sK7(powerset(X0))))))) ),
inference(resolution,[],[f1063,f843]) ).
fof(f1065,plain,
! [X0] :
( ~ empty(X0)
| empty_set = sK20(sK22(sK20(sK7(powerset(X0))))) ),
inference(resolution,[],[f1063,f971]) ).
fof(f1063,plain,
! [X0] :
( empty(sK20(sK7(powerset(X0))))
| ~ empty(X0) ),
inference(resolution,[],[f1038,f747]) ).
fof(f1064,plain,
! [X0] :
( ~ empty(X0)
| empty(sK20(sK7(powerset(X0)))) ),
inference(resolution,[],[f1038,f1036]) ).
fof(f1038,plain,
! [X0,X1] :
( ~ in(X1,sK20(sK7(powerset(X0))))
| ~ empty(X0) ),
inference(subsumption_resolution,[],[f1033,f354]) ).
fof(f1033,plain,
! [X0,X1] :
( empty(powerset(X0))
| ~ empty(X0)
| ~ in(X1,sK20(sK7(powerset(X0)))) ),
inference(resolution,[],[f1031,f540]) ).
fof(f1061,plain,
! [X0] : ~ in(powerset(X0),sK20(sK7(sK22(X0)))),
inference(resolution,[],[f1057,f515]) ).
fof(f1058,plain,
! [X0] :
( finite(sK20(sK7(sK22(X0))))
| ~ finite(X0) ),
inference(subsumption_resolution,[],[f1053,f512]) ).
fof(f1053,plain,
! [X0] :
( empty(sK22(X0))
| finite(sK20(sK7(sK22(X0))))
| ~ finite(X0) ),
inference(resolution,[],[f1036,f955]) ).
fof(f1060,plain,
! [X0] :
( ~ finite(X0)
| finite(sK20(sK7(sK22(X0)))) ),
inference(resolution,[],[f1057,f682]) ).
fof(f1057,plain,
! [X0] : in(sK20(sK7(sK22(X0))),powerset(X0)),
inference(subsumption_resolution,[],[f1052,f512]) ).
fof(f1052,plain,
! [X0] :
( empty(sK22(X0))
| in(sK20(sK7(sK22(X0))),powerset(X0)) ),
inference(resolution,[],[f1036,f957]) ).
fof(f1040,plain,
! [X0] :
( ~ in(X0,sK20(sK7(X0)))
| empty(X0) ),
inference(resolution,[],[f1036,f515]) ).
fof(f1039,plain,
! [X0] :
( finite(sK20(sK7(powerset(X0))))
| ~ finite(X0) ),
inference(subsumption_resolution,[],[f1034,f354]) ).
fof(f1034,plain,
! [X0] :
( empty(powerset(X0))
| finite(sK20(sK7(powerset(X0))))
| ~ finite(X0) ),
inference(resolution,[],[f1031,f428]) ).
fof(f1049,plain,
! [X0] :
( empty(sK20(powerset(X0)))
| element(sK20(sK7(sK20(powerset(X0)))),X0) ),
inference(resolution,[],[f1036,f938]) ).
fof(f1055,plain,
! [X0] :
( ~ finite(X0)
| finite(sK20(sK7(powerset(X0)))) ),
inference(subsumption_resolution,[],[f1043,f354]) ).
fof(f1043,plain,
! [X0] :
( empty(powerset(X0))
| ~ finite(X0)
| finite(sK20(sK7(powerset(X0)))) ),
inference(resolution,[],[f1036,f682]) ).
fof(f1054,plain,
! [X0,X1] :
( ~ in(X1,sK20(sK7(powerset(X0))))
| ~ empty(X0) ),
inference(subsumption_resolution,[],[f1042,f354]) ).
fof(f1042,plain,
! [X0,X1] :
( empty(powerset(X0))
| ~ in(X1,sK20(sK7(powerset(X0))))
| ~ empty(X0) ),
inference(resolution,[],[f1036,f808]) ).
fof(f1036,plain,
! [X0] :
( in(sK20(sK7(X0)),X0)
| empty(X0) ),
inference(duplicate_literal_removal,[],[f1035]) ).
fof(f1035,plain,
! [X0] :
( empty(X0)
| empty(X0)
| in(sK20(sK7(X0)),X0) ),
inference(resolution,[],[f1031,f517]) ).
fof(f1031,plain,
! [X0] :
( element(sK20(sK7(X0)),X0)
| empty(X0) ),
inference(subsumption_resolution,[],[f1030,f415]) ).
fof(f1030,plain,
! [X0] :
( element(sK20(sK7(X0)),X0)
| empty(X0)
| empty(sK7(X0)) ),
inference(resolution,[],[f930,f747]) ).
fof(f501,plain,
! [X0] :
( ~ empty(sK17(X0))
| ~ rel_str(X0)
| ~ transitive_relstr(X0)
| ~ reflexive_relstr(X0)
| empty_carrier(X0) ),
inference(cnf_transformation,[],[f294]) ).
fof(f930,plain,
! [X0,X1] :
( ~ in(X0,sK7(X1))
| element(X0,X1)
| empty(X1) ),
inference(resolution,[],[f537,f414]) ).
fof(f924,plain,
! [X2,X0,X1] :
( ~ subset(X2,X1)
| ~ in(X0,X2)
| element(X0,X1) ),
inference(resolution,[],[f537,f527]) ).
fof(f1016,plain,
sK38 = rel_str_of(the_carrier(sK38),the_InternalRel(sK38)),
inference(subsumption_resolution,[],[f1006,f591]) ).
fof(f1006,plain,
( sK38 = rel_str_of(the_carrier(sK38),the_InternalRel(sK38))
| ~ rel_str(sK38) ),
inference(resolution,[],[f436,f593]) ).
fof(f1015,plain,
sK37 = rel_str_of(the_carrier(sK37),the_InternalRel(sK37)),
inference(subsumption_resolution,[],[f1005,f581]) ).
fof(f1005,plain,
( sK37 = rel_str_of(the_carrier(sK37),the_InternalRel(sK37))
| ~ rel_str(sK37) ),
inference(resolution,[],[f436,f583]) ).
fof(f1014,plain,
sK36 = rel_str_of(the_carrier(sK36),the_InternalRel(sK36)),
inference(subsumption_resolution,[],[f1004,f572]) ).
fof(f1004,plain,
( sK36 = rel_str_of(the_carrier(sK36),the_InternalRel(sK36))
| ~ rel_str(sK36) ),
inference(resolution,[],[f436,f574]) ).
fof(f1013,plain,
sK35 = rel_str_of(the_carrier(sK35),the_InternalRel(sK35)),
inference(subsumption_resolution,[],[f1003,f565]) ).
fof(f1003,plain,
( sK35 = rel_str_of(the_carrier(sK35),the_InternalRel(sK35))
| ~ rel_str(sK35) ),
inference(resolution,[],[f436,f567]) ).
fof(f1012,plain,
sK34 = rel_str_of(the_carrier(sK34),the_InternalRel(sK34)),
inference(subsumption_resolution,[],[f1002,f561]) ).
fof(f1002,plain,
( sK34 = rel_str_of(the_carrier(sK34),the_InternalRel(sK34))
| ~ rel_str(sK34) ),
inference(resolution,[],[f436,f563]) ).
fof(f1011,plain,
sK33 = rel_str_of(the_carrier(sK33),the_InternalRel(sK33)),
inference(subsumption_resolution,[],[f1001,f549]) ).
fof(f1001,plain,
( sK33 = rel_str_of(the_carrier(sK33),the_InternalRel(sK33))
| ~ rel_str(sK33) ),
inference(resolution,[],[f436,f552]) ).
fof(f1009,plain,
! [X0] :
( rel_str_of(the_carrier(X0),the_InternalRel(X0)) = rel_str_of(the_carrier(rel_str_of(the_carrier(X0),the_InternalRel(X0))),the_InternalRel(rel_str_of(the_carrier(X0),the_InternalRel(X0))))
| ~ rel_str(X0) ),
inference(subsumption_resolution,[],[f999,f858]) ).
fof(f999,plain,
! [X0] :
( rel_str_of(the_carrier(X0),the_InternalRel(X0)) = rel_str_of(the_carrier(rel_str_of(the_carrier(X0),the_InternalRel(X0))),the_InternalRel(rel_str_of(the_carrier(X0),the_InternalRel(X0))))
| ~ rel_str(rel_str_of(the_carrier(X0),the_InternalRel(X0)))
| ~ rel_str(X0) ),
inference(resolution,[],[f436,f859]) ).
fof(f1008,plain,
! [X0] : rel_str_of(X0,sK25(X0,X0)) = rel_str_of(the_carrier(rel_str_of(X0,sK25(X0,X0))),the_InternalRel(rel_str_of(X0,sK25(X0,X0)))),
inference(subsumption_resolution,[],[f998,f782]) ).
fof(f998,plain,
! [X0] :
( rel_str_of(X0,sK25(X0,X0)) = rel_str_of(the_carrier(rel_str_of(X0,sK25(X0,X0))),the_InternalRel(rel_str_of(X0,sK25(X0,X0))))
| ~ rel_str(rel_str_of(X0,sK25(X0,X0))) ),
inference(resolution,[],[f436,f783]) ).
fof(f1007,plain,
! [X0] : rel_str_of(X0,sK24(X0,X0)) = rel_str_of(the_carrier(rel_str_of(X0,sK24(X0,X0))),the_InternalRel(rel_str_of(X0,sK24(X0,X0)))),
inference(subsumption_resolution,[],[f997,f779]) ).
fof(f997,plain,
! [X0] :
( rel_str_of(X0,sK24(X0,X0)) = rel_str_of(the_carrier(rel_str_of(X0,sK24(X0,X0))),the_InternalRel(rel_str_of(X0,sK24(X0,X0))))
| ~ rel_str(rel_str_of(X0,sK24(X0,X0))) ),
inference(resolution,[],[f436,f766]) ).
fof(f436,plain,
! [X0] :
( ~ strict_rel_str(X0)
| rel_str_of(the_carrier(X0),the_InternalRel(X0)) = X0
| ~ rel_str(X0) ),
inference(cnf_transformation,[],[f176]) ).
fof(f176,plain,
! [X0] :
( rel_str_of(the_carrier(X0),the_InternalRel(X0)) = X0
| ~ strict_rel_str(X0)
| ~ rel_str(X0) ),
inference(flattening,[],[f175]) ).
fof(f175,plain,
! [X0] :
( rel_str_of(the_carrier(X0),the_InternalRel(X0)) = X0
| ~ strict_rel_str(X0)
| ~ rel_str(X0) ),
inference(ennf_transformation,[],[f1]) ).
fof(f1,axiom,
! [X0] :
( rel_str(X0)
=> ( strict_rel_str(X0)
=> rel_str_of(the_carrier(X0),the_InternalRel(X0)) = X0 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',abstractness_v1_orders_2) ).
fof(f990,plain,
in(empty_set,sK22(empty_set)),
inference(subsumption_resolution,[],[f988,f512]) ).
fof(f988,plain,
( in(empty_set,sK22(empty_set))
| empty(sK22(empty_set)) ),
inference(superposition,[],[f747,f973]) ).
fof(f992,plain,
in(empty_set,sK22(empty_set)),
inference(subsumption_resolution,[],[f991,f512]) ).
fof(f991,plain,
( empty(sK22(empty_set))
| in(empty_set,sK22(empty_set)) ),
inference(resolution,[],[f989,f517]) ).
fof(f989,plain,
element(empty_set,sK22(empty_set)),
inference(superposition,[],[f508,f973]) ).
fof(f973,plain,
empty_set = sK20(sK22(empty_set)),
inference(resolution,[],[f971,f352]) ).
fof(f981,plain,
empty_set = sK20(sK22(empty_set)),
inference(forward_demodulation,[],[f979,f637]) ).
fof(f979,plain,
empty_set = sK20(sK22(sK32)),
inference(resolution,[],[f971,f548]) ).
fof(f980,plain,
empty_set = sK20(sK22(empty_set)),
inference(forward_demodulation,[],[f978,f638]) ).
fof(f978,plain,
! [X0] : empty_set = sK20(sK22(sK21(X0))),
inference(resolution,[],[f971,f510]) ).
fof(f977,plain,
! [X0] :
( empty_set = sK20(sK22(sK20(sK22(X0))))
| ~ empty(X0) ),
inference(resolution,[],[f971,f966]) ).
fof(f976,plain,
! [X0] :
( empty_set = sK20(sK22(sK20(powerset(X0))))
| ~ empty(X0) ),
inference(resolution,[],[f971,f839]) ).
fof(f975,plain,
! [X0] :
( empty_set = sK20(sK22(sK13(X0)))
| ~ rel_str(X0)
| ~ empty(the_carrier(X0)) ),
inference(resolution,[],[f971,f887]) ).
fof(f974,plain,
! [X0] :
( empty_set = sK20(sK22(sK12(X0)))
| ~ rel_str(X0)
| ~ empty(the_carrier(X0)) ),
inference(resolution,[],[f971,f883]) ).
fof(f972,plain,
! [X0] :
( empty_set = sK20(sK22(cast_as_carrier_subset(X0)))
| ~ one_sorted_str(X0)
| ~ empty(the_carrier(X0)) ),
inference(resolution,[],[f971,f872]) ).
fof(f971,plain,
! [X0] :
( ~ empty(X0)
| empty_set = sK20(sK22(X0)) ),
inference(resolution,[],[f966,f430]) ).
fof(f968,plain,
! [X0,X1] :
( ~ empty(X0)
| sK20(powerset(X1)) = sK20(sK22(X0))
| ~ empty(X1) ),
inference(resolution,[],[f966,f840]) ).
fof(f967,plain,
! [X0] :
( ~ empty(X0)
| empty_set = sK20(powerset(sK20(powerset(sK20(sK22(X0)))))) ),
inference(resolution,[],[f966,f843]) ).
fof(f966,plain,
! [X0] :
( empty(sK20(sK22(X0)))
| ~ empty(X0) ),
inference(resolution,[],[f962,f747]) ).
fof(f962,plain,
! [X0,X1] :
( ~ in(X0,sK20(sK22(X1)))
| ~ empty(X1) ),
inference(resolution,[],[f961,f808]) ).
fof(f964,plain,
! [X0] : ~ in(powerset(X0),sK20(sK22(X0))),
inference(resolution,[],[f961,f515]) ).
fof(f961,plain,
! [X0] : in(sK20(sK22(X0)),powerset(X0)),
inference(subsumption_resolution,[],[f960,f512]) ).
fof(f960,plain,
! [X0] :
( in(sK20(sK22(X0)),powerset(X0))
| empty(sK22(X0)) ),
inference(resolution,[],[f957,f747]) ).
fof(f957,plain,
! [X0,X1] :
( ~ in(X0,sK22(X1))
| in(X0,powerset(X1)) ),
inference(subsumption_resolution,[],[f956,f354]) ).
fof(f956,plain,
! [X0,X1] :
( ~ in(X0,sK22(X1))
| empty(powerset(X1))
| in(X0,powerset(X1)) ),
inference(resolution,[],[f940,f517]) ).
fof(f959,plain,
! [X0] :
( finite(sK20(sK22(X0)))
| ~ finite(X0) ),
inference(subsumption_resolution,[],[f958,f512]) ).
fof(f958,plain,
! [X0] :
( finite(sK20(sK22(X0)))
| ~ finite(X0)
| empty(sK22(X0)) ),
inference(resolution,[],[f955,f747]) ).
fof(f955,plain,
! [X0,X1] :
( ~ in(X0,sK22(X1))
| finite(X0)
| ~ finite(X1) ),
inference(resolution,[],[f940,f428]) ).
fof(f953,plain,
! [X2,X0,X1] :
( ~ in(X0,sK22(X1))
| element(X2,X1)
| ~ in(X2,X0) ),
inference(resolution,[],[f940,f537]) ).
fof(f940,plain,
! [X0,X1] :
( element(X0,powerset(X1))
| ~ in(X0,sK22(X1)) ),
inference(resolution,[],[f537,f511]) ).
fof(f951,plain,
! [X0] :
( element(sK20(sK20(powerset(X0))),X0)
| empty(sK20(powerset(X0))) ),
inference(resolution,[],[f938,f747]) ).
fof(f938,plain,
! [X0,X1] :
( ~ in(X0,sK20(powerset(X1)))
| element(X0,X1) ),
inference(resolution,[],[f537,f508]) ).
fof(f937,plain,
! [X0,X1] :
( element(X0,the_carrier(X1))
| ~ in(X0,sK15(X1))
| ~ rel_str(X1)
| empty_carrier(X1) ),
inference(resolution,[],[f537,f495]) ).
fof(f936,plain,
! [X0,X1] :
( element(X0,the_carrier(X1))
| ~ in(X0,sK14(X1))
| ~ one_sorted_str(X1)
| empty_carrier(X1) ),
inference(resolution,[],[f537,f489]) ).
fof(f933,plain,
! [X0,X1] :
( element(X0,powerset(the_carrier(X1)))
| ~ in(X0,sK11(X1))
| ~ one_sorted_str(X1) ),
inference(resolution,[],[f537,f425]) ).
fof(f925,plain,
! [X2,X3,X0,X1] :
( element(X0,cartesian_product2(X1,X2))
| ~ in(X0,X3)
| ~ relation_of2_as_subset(X3,X1,X2) ),
inference(resolution,[],[f537,f532]) ).
fof(f537,plain,
! [X2,X0,X1] :
( ~ element(X1,powerset(X2))
| element(X0,X2)
| ~ in(X0,X1) ),
inference(cnf_transformation,[],[f253]) ).
fof(f253,plain,
! [X0,X1,X2] :
( element(X0,X2)
| ~ element(X1,powerset(X2))
| ~ in(X0,X1) ),
inference(flattening,[],[f252]) ).
fof(f252,plain,
! [X0,X1,X2] :
( element(X0,X2)
| ~ element(X1,powerset(X2))
| ~ in(X0,X1) ),
inference(ennf_transformation,[],[f98]) ).
fof(f98,axiom,
! [X0,X1,X2] :
( ( element(X1,powerset(X2))
& in(X0,X1) )
=> element(X0,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t4_subset) ).
fof(f920,plain,
! [X2,X3,X0,X1] :
( ~ relation_of2_as_subset(X0,X1,X2)
| ~ empty(cartesian_product2(X1,X2))
| ~ in(X3,X0) ),
inference(resolution,[],[f532,f540]) ).
fof(f532,plain,
! [X2,X0,X1] :
( element(X2,powerset(cartesian_product2(X0,X1)))
| ~ relation_of2_as_subset(X2,X0,X1) ),
inference(cnf_transformation,[],[f249]) ).
fof(f249,plain,
! [X0,X1,X2] :
( element(X2,powerset(cartesian_product2(X0,X1)))
| ~ relation_of2_as_subset(X2,X0,X1) ),
inference(ennf_transformation,[],[f34]) ).
fof(f34,axiom,
! [X0,X1,X2] :
( relation_of2_as_subset(X2,X0,X1)
=> element(X2,powerset(cartesian_product2(X0,X1))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_m2_relset_1) ).
fof(f916,plain,
! [X0,X1] :
( ~ rel_str(X0)
| empty_carrier(X0)
| ~ empty(the_carrier(X0))
| ~ in(X1,sK15(X0)) ),
inference(resolution,[],[f495,f540]) ).
fof(f495,plain,
! [X0] :
( element(sK15(X0),powerset(the_carrier(X0)))
| ~ rel_str(X0)
| empty_carrier(X0) ),
inference(cnf_transformation,[],[f290]) ).
fof(f290,plain,
! [X0] :
( ( ~ empty(sK15(X0))
& element(sK15(X0),powerset(the_carrier(X0))) )
| ~ rel_str(X0)
| empty_carrier(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK15])],[f220,f289]) ).
fof(f289,plain,
! [X0] :
( ? [X1] :
( ~ empty(X1)
& element(X1,powerset(the_carrier(X0))) )
=> ( ~ empty(sK15(X0))
& element(sK15(X0),powerset(the_carrier(X0))) ) ),
introduced(choice_axiom,[]) ).
fof(f220,plain,
! [X0] :
( ? [X1] :
( ~ empty(X1)
& element(X1,powerset(the_carrier(X0))) )
| ~ rel_str(X0)
| empty_carrier(X0) ),
inference(flattening,[],[f219]) ).
fof(f219,plain,
! [X0] :
( ? [X1] :
( ~ empty(X1)
& element(X1,powerset(the_carrier(X0))) )
| ~ rel_str(X0)
| empty_carrier(X0) ),
inference(ennf_transformation,[],[f143]) ).
fof(f143,plain,
! [X0] :
( ( rel_str(X0)
& ~ empty_carrier(X0) )
=> ? [X1] :
( ~ empty(X1)
& element(X1,powerset(the_carrier(X0))) ) ),
inference(pure_predicate_removal,[],[f136]) ).
fof(f136,plain,
! [X0] :
( ( rel_str(X0)
& ~ empty_carrier(X0) )
=> ? [X1] :
( lower_relstr_subset(X1,X0)
& ~ empty(X1)
& element(X1,powerset(the_carrier(X0))) ) ),
inference(pure_predicate_removal,[],[f88]) ).
fof(f88,axiom,
! [X0] :
( ( rel_str(X0)
& ~ empty_carrier(X0) )
=> ? [X1] :
( upper_relstr_subset(X1,X0)
& lower_relstr_subset(X1,X0)
& ~ empty(X1)
& element(X1,powerset(the_carrier(X0))) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc8_waybel_0) ).
fof(f489,plain,
! [X0] :
( element(sK14(X0),powerset(the_carrier(X0)))
| ~ one_sorted_str(X0)
| empty_carrier(X0) ),
inference(cnf_transformation,[],[f288]) ).
fof(f288,plain,
! [X0] :
( ( ~ empty(sK14(X0))
& element(sK14(X0),powerset(the_carrier(X0))) )
| ~ one_sorted_str(X0)
| empty_carrier(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK14])],[f210,f287]) ).
fof(f287,plain,
! [X0] :
( ? [X1] :
( ~ empty(X1)
& element(X1,powerset(the_carrier(X0))) )
=> ( ~ empty(sK14(X0))
& element(sK14(X0),powerset(the_carrier(X0))) ) ),
introduced(choice_axiom,[]) ).
fof(f210,plain,
! [X0] :
( ? [X1] :
( ~ empty(X1)
& element(X1,powerset(the_carrier(X0))) )
| ~ one_sorted_str(X0)
| empty_carrier(X0) ),
inference(flattening,[],[f209]) ).
fof(f209,plain,
! [X0] :
( ? [X1] :
( ~ empty(X1)
& element(X1,powerset(the_carrier(X0))) )
| ~ one_sorted_str(X0)
| empty_carrier(X0) ),
inference(ennf_transformation,[],[f86]) ).
fof(f86,axiom,
! [X0] :
( ( one_sorted_str(X0)
& ~ empty_carrier(X0) )
=> ? [X1] :
( ~ empty(X1)
& element(X1,powerset(the_carrier(X0))) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc5_struct_0) ).
fof(f483,plain,
! [X0] :
( upper_bounded_relstr(X0)
| ~ up_complete_relstr(X0)
| ~ with_suprema_relstr(X0)
| ~ reflexive_relstr(X0)
| ~ rel_str(X0) ),
inference(cnf_transformation,[],[f200]) ).
fof(f200,plain,
! [X0] :
( ( upper_bounded_relstr(X0)
& with_suprema_relstr(X0)
& reflexive_relstr(X0)
& ~ empty_carrier(X0) )
| ~ up_complete_relstr(X0)
| ~ with_suprema_relstr(X0)
| ~ reflexive_relstr(X0)
| ~ rel_str(X0) ),
inference(flattening,[],[f199]) ).
fof(f199,plain,
! [X0] :
( ( upper_bounded_relstr(X0)
& with_suprema_relstr(X0)
& reflexive_relstr(X0)
& ~ empty_carrier(X0) )
| ~ up_complete_relstr(X0)
| ~ with_suprema_relstr(X0)
| ~ reflexive_relstr(X0)
| ~ rel_str(X0) ),
inference(ennf_transformation,[],[f20]) ).
fof(f20,axiom,
! [X0] :
( rel_str(X0)
=> ( ( up_complete_relstr(X0)
& with_suprema_relstr(X0)
& reflexive_relstr(X0) )
=> ( upper_bounded_relstr(X0)
& with_suprema_relstr(X0)
& reflexive_relstr(X0)
& ~ empty_carrier(X0) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc9_waybel_0) ).
fof(f457,plain,
! [X0] :
( join_complete_relstr(X0)
| ~ complete_relstr(X0)
| ~ reflexive_relstr(X0)
| empty_carrier(X0)
| ~ rel_str(X0) ),
inference(cnf_transformation,[],[f190]) ).
fof(f190,plain,
! [X0] :
( ( join_complete_relstr(X0)
& up_complete_relstr(X0)
& reflexive_relstr(X0)
& ~ empty_carrier(X0) )
| ~ complete_relstr(X0)
| ~ reflexive_relstr(X0)
| empty_carrier(X0)
| ~ rel_str(X0) ),
inference(flattening,[],[f189]) ).
fof(f189,plain,
! [X0] :
( ( join_complete_relstr(X0)
& up_complete_relstr(X0)
& reflexive_relstr(X0)
& ~ empty_carrier(X0) )
| ~ complete_relstr(X0)
| ~ reflexive_relstr(X0)
| empty_carrier(X0)
| ~ rel_str(X0) ),
inference(ennf_transformation,[],[f3]) ).
fof(f3,axiom,
! [X0] :
( rel_str(X0)
=> ( ( complete_relstr(X0)
& reflexive_relstr(X0)
& ~ empty_carrier(X0) )
=> ( join_complete_relstr(X0)
& up_complete_relstr(X0)
& reflexive_relstr(X0)
& ~ empty_carrier(X0) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc10_waybel_0) ).
fof(f904,plain,
! [X0] :
( empty_set = sK20(powerset(sK20(powerset(sK20(powerset(X0))))))
| ~ empty(X0) ),
inference(resolution,[],[f843,f839]) ).
fof(f903,plain,
! [X0] :
( empty_set = sK20(powerset(sK20(powerset(sK13(X0)))))
| ~ rel_str(X0)
| ~ empty(the_carrier(X0)) ),
inference(resolution,[],[f843,f887]) ).
fof(f902,plain,
! [X0] :
( empty_set = sK20(powerset(sK20(powerset(sK12(X0)))))
| ~ rel_str(X0)
| ~ empty(the_carrier(X0)) ),
inference(resolution,[],[f843,f883]) ).
fof(f900,plain,
! [X0] :
( empty_set = sK20(powerset(sK20(powerset(cast_as_carrier_subset(X0)))))
| ~ one_sorted_str(X0)
| ~ empty(the_carrier(X0)) ),
inference(resolution,[],[f843,f872]) ).
fof(f843,plain,
! [X0] :
( ~ empty(X0)
| empty_set = sK20(powerset(sK20(powerset(X0)))) ),
inference(resolution,[],[f841,f839]) ).
fof(f890,plain,
! [X0] :
( ~ empty(the_carrier(X0))
| ~ rel_str(X0)
| empty_set = sK13(X0) ),
inference(resolution,[],[f887,f430]) ).
fof(f886,plain,
! [X0] :
( ~ empty(the_carrier(X0))
| ~ rel_str(X0)
| empty_set = sK12(X0) ),
inference(resolution,[],[f883,f430]) ).
fof(f879,plain,
! [X0] :
( ~ empty(the_carrier(X0))
| ~ one_sorted_str(X0)
| cast_as_carrier_subset(X0) = empty_set ),
inference(resolution,[],[f872,f430]) ).
fof(f895,plain,
! [X0,X1] :
( sK20(powerset(X0)) = sK20(powerset(X1))
| ~ empty(X0)
| ~ empty(X1) ),
inference(resolution,[],[f840,f839]) ).
fof(f894,plain,
! [X0,X1] :
( sK20(powerset(X0)) = sK13(X1)
| ~ empty(X0)
| ~ rel_str(X1)
| ~ empty(the_carrier(X1)) ),
inference(resolution,[],[f840,f887]) ).
fof(f893,plain,
! [X0,X1] :
( sK20(powerset(X0)) = sK12(X1)
| ~ empty(X0)
| ~ rel_str(X1)
| ~ empty(the_carrier(X1)) ),
inference(resolution,[],[f840,f883]) ).
fof(f891,plain,
! [X0,X1] :
( sK20(powerset(X0)) = cast_as_carrier_subset(X1)
| ~ empty(X0)
| ~ one_sorted_str(X1)
| ~ empty(the_carrier(X1)) ),
inference(resolution,[],[f840,f872]) ).
fof(f840,plain,
! [X0,X1] :
( ~ empty(X1)
| sK20(powerset(X0)) = X1
| ~ empty(X0) ),
inference(resolution,[],[f839,f528]) ).
fof(f856,plain,
! [X0] :
( ~ in(powerset(powerset(the_carrier(X0))),sK11(X0))
| ~ one_sorted_str(X0) ),
inference(resolution,[],[f804,f515]) ).
fof(f456,plain,
! [X0] :
( up_complete_relstr(X0)
| ~ complete_relstr(X0)
| ~ reflexive_relstr(X0)
| empty_carrier(X0)
| ~ rel_str(X0) ),
inference(cnf_transformation,[],[f190]) ).
fof(f889,plain,
! [X0,X1] :
( ~ rel_str(X0)
| ~ empty(the_carrier(X0))
| sK13(X0) = X1
| ~ empty(X1) ),
inference(resolution,[],[f887,f528]) ).
fof(f888,plain,
! [X0] :
( ~ rel_str(X0)
| ~ empty(the_carrier(X0))
| empty_set = sK20(powerset(sK13(X0))) ),
inference(resolution,[],[f887,f841]) ).
fof(f887,plain,
! [X0] :
( empty(sK13(X0))
| ~ rel_str(X0)
| ~ empty(the_carrier(X0)) ),
inference(resolution,[],[f817,f747]) ).
fof(f817,plain,
! [X0,X1] :
( ~ in(X1,sK13(X0))
| ~ empty(the_carrier(X0))
| ~ rel_str(X0) ),
inference(resolution,[],[f540,f485]) ).
fof(f885,plain,
! [X0,X1] :
( ~ rel_str(X0)
| ~ empty(the_carrier(X0))
| sK12(X0) = X1
| ~ empty(X1) ),
inference(resolution,[],[f883,f528]) ).
fof(f884,plain,
! [X0] :
( ~ rel_str(X0)
| ~ empty(the_carrier(X0))
| empty_set = sK20(powerset(sK12(X0))) ),
inference(resolution,[],[f883,f841]) ).
fof(f883,plain,
! [X0] :
( empty(sK12(X0))
| ~ rel_str(X0)
| ~ empty(the_carrier(X0)) ),
inference(resolution,[],[f816,f747]) ).
fof(f816,plain,
! [X0,X1] :
( ~ in(X1,sK12(X0))
| ~ empty(the_carrier(X0))
| ~ rel_str(X0) ),
inference(resolution,[],[f540,f484]) ).
fof(f882,plain,
! [X0] :
( ~ empty(the_carrier(X0))
| ~ rel_str(X0)
| ~ with_infima_relstr(X0) ),
inference(subsumption_resolution,[],[f874,f431]) ).
fof(f874,plain,
! [X0] :
( ~ one_sorted_str(X0)
| ~ empty(the_carrier(X0))
| ~ rel_str(X0)
| ~ with_infima_relstr(X0) ),
inference(resolution,[],[f872,f504]) ).
fof(f881,plain,
! [X0] :
( ~ empty(the_carrier(X0))
| ~ rel_str(X0)
| ~ with_suprema_relstr(X0) ),
inference(subsumption_resolution,[],[f873,f431]) ).
fof(f873,plain,
! [X0] :
( ~ one_sorted_str(X0)
| ~ empty(the_carrier(X0))
| ~ rel_str(X0)
| ~ with_suprema_relstr(X0) ),
inference(resolution,[],[f872,f505]) ).
fof(f878,plain,
! [X0,X1] :
( ~ one_sorted_str(X0)
| ~ empty(the_carrier(X0))
| cast_as_carrier_subset(X0) = X1
| ~ empty(X1) ),
inference(resolution,[],[f872,f528]) ).
fof(f877,plain,
! [X0] :
( ~ one_sorted_str(X0)
| ~ empty(the_carrier(X0))
| empty_set = sK20(powerset(cast_as_carrier_subset(X0))) ),
inference(resolution,[],[f872,f841]) ).
fof(f872,plain,
! [X0] :
( empty(cast_as_carrier_subset(X0))
| ~ one_sorted_str(X0)
| ~ empty(the_carrier(X0)) ),
inference(resolution,[],[f809,f747]) ).
fof(f809,plain,
! [X0,X1] :
( ~ in(X1,cast_as_carrier_subset(X0))
| ~ empty(the_carrier(X0))
| ~ one_sorted_str(X0) ),
inference(resolution,[],[f540,f422]) ).
fof(f869,plain,
! [X0,X1] :
( ~ in(X0,sK13(X1))
| ~ empty(the_carrier(X1))
| ~ rel_str(X1) ),
inference(resolution,[],[f808,f758]) ).
fof(f868,plain,
! [X0,X1] :
( ~ in(X0,sK12(X1))
| ~ empty(the_carrier(X1))
| ~ rel_str(X1) ),
inference(resolution,[],[f808,f757]) ).
fof(f861,plain,
! [X0,X1] :
( ~ in(X0,cast_as_carrier_subset(X1))
| ~ empty(the_carrier(X1))
| ~ one_sorted_str(X1) ),
inference(resolution,[],[f808,f751]) ).
fof(f808,plain,
! [X2,X0,X1] :
( ~ in(X2,powerset(X0))
| ~ in(X1,X2)
| ~ empty(X0) ),
inference(resolution,[],[f540,f516]) ).
fof(f859,plain,
! [X0] :
( strict_rel_str(rel_str_of(the_carrier(X0),the_InternalRel(X0)))
| ~ rel_str(X0) ),
inference(resolution,[],[f806,f518]) ).
fof(f858,plain,
! [X0] :
( rel_str(rel_str_of(the_carrier(X0),the_InternalRel(X0)))
| ~ rel_str(X0) ),
inference(resolution,[],[f806,f519]) ).
fof(f453,plain,
! [X0] :
( lower_bounded_relstr(X0)
| ~ join_complete_relstr(X0)
| ~ reflexive_relstr(X0)
| empty_carrier(X0)
| ~ rel_str(X0) ),
inference(cnf_transformation,[],[f188]) ).
fof(f188,plain,
! [X0] :
( ( lower_bounded_relstr(X0)
& reflexive_relstr(X0)
& ~ empty_carrier(X0) )
| ~ join_complete_relstr(X0)
| ~ reflexive_relstr(X0)
| empty_carrier(X0)
| ~ rel_str(X0) ),
inference(flattening,[],[f187]) ).
fof(f187,plain,
! [X0] :
( ( lower_bounded_relstr(X0)
& reflexive_relstr(X0)
& ~ empty_carrier(X0) )
| ~ join_complete_relstr(X0)
| ~ reflexive_relstr(X0)
| empty_carrier(X0)
| ~ rel_str(X0) ),
inference(ennf_transformation,[],[f4]) ).
fof(f4,axiom,
! [X0] :
( rel_str(X0)
=> ( ( join_complete_relstr(X0)
& reflexive_relstr(X0)
& ~ empty_carrier(X0) )
=> ( lower_bounded_relstr(X0)
& reflexive_relstr(X0)
& ~ empty_carrier(X0) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc11_waybel_0) ).
fof(f806,plain,
! [X0] :
( relation_of2(the_InternalRel(X0),the_carrier(X0),the_carrier(X0))
| ~ rel_str(X0) ),
inference(resolution,[],[f432,f538]) ).
fof(f804,plain,
! [X0] :
( in(sK11(X0),powerset(powerset(the_carrier(X0))))
| ~ one_sorted_str(X0) ),
inference(subsumption_resolution,[],[f803,f354]) ).
fof(f803,plain,
! [X0] :
( ~ one_sorted_str(X0)
| empty(powerset(powerset(the_carrier(X0))))
| in(sK11(X0),powerset(powerset(the_carrier(X0)))) ),
inference(resolution,[],[f425,f517]) ).
fof(f807,plain,
! [X2,X0,X1] :
( ~ subset(X2,X0)
| ~ in(X1,X2)
| ~ empty(X0) ),
inference(resolution,[],[f540,f527]) ).
fof(f842,plain,
empty_set = sK20(powerset(empty_set)),
inference(resolution,[],[f841,f352]) ).
fof(f847,plain,
empty_set = sK20(powerset(empty_set)),
inference(forward_demodulation,[],[f845,f637]) ).
fof(f845,plain,
empty_set = sK20(powerset(sK32)),
inference(resolution,[],[f841,f548]) ).
fof(f846,plain,
empty_set = sK20(powerset(empty_set)),
inference(forward_demodulation,[],[f844,f638]) ).
fof(f844,plain,
! [X0] : empty_set = sK20(powerset(sK21(X0))),
inference(resolution,[],[f841,f510]) ).
fof(f841,plain,
! [X0] :
( ~ empty(X0)
| empty_set = sK20(powerset(X0)) ),
inference(resolution,[],[f839,f430]) ).
fof(f839,plain,
! [X0] :
( empty(sK20(powerset(X0)))
| ~ empty(X0) ),
inference(resolution,[],[f818,f747]) ).
fof(f818,plain,
! [X0,X1] :
( ~ in(X1,sK20(powerset(X0)))
| ~ empty(X0) ),
inference(resolution,[],[f540,f508]) ).
fof(f450,plain,
! [X0] :
( sP1(X0)
| ~ trivial_carrier(X0)
| ~ reflexive_relstr(X0)
| empty_carrier(X0)
| ~ rel_str(X0) ),
inference(cnf_transformation,[],[f258]) ).
fof(f258,plain,
! [X0] :
( sP1(X0)
| ~ trivial_carrier(X0)
| ~ reflexive_relstr(X0)
| empty_carrier(X0)
| ~ rel_str(X0) ),
inference(definition_folding,[],[f186,f257]) ).
fof(f257,plain,
! [X0] :
( ( complete_relstr(X0)
& antisymmetric_relstr(X0)
& transitive_relstr(X0)
& reflexive_relstr(X0)
& ~ empty_carrier(X0) )
| ~ sP1(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])]) ).
fof(f186,plain,
! [X0] :
( ( complete_relstr(X0)
& antisymmetric_relstr(X0)
& transitive_relstr(X0)
& reflexive_relstr(X0)
& ~ empty_carrier(X0) )
| ~ trivial_carrier(X0)
| ~ reflexive_relstr(X0)
| empty_carrier(X0)
| ~ rel_str(X0) ),
inference(flattening,[],[f185]) ).
fof(f185,plain,
! [X0] :
( ( complete_relstr(X0)
& antisymmetric_relstr(X0)
& transitive_relstr(X0)
& reflexive_relstr(X0)
& ~ empty_carrier(X0) )
| ~ trivial_carrier(X0)
| ~ reflexive_relstr(X0)
| empty_carrier(X0)
| ~ rel_str(X0) ),
inference(ennf_transformation,[],[f15]) ).
fof(f15,axiom,
! [X0] :
( rel_str(X0)
=> ( ( trivial_carrier(X0)
& reflexive_relstr(X0)
& ~ empty_carrier(X0) )
=> ( complete_relstr(X0)
& antisymmetric_relstr(X0)
& transitive_relstr(X0)
& reflexive_relstr(X0)
& ~ empty_carrier(X0) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc2_yellow_0) ).
fof(f821,plain,
! [X0,X1] :
( ~ in(X1,empty_set)
| ~ empty(X0) ),
inference(forward_demodulation,[],[f819,f638]) ).
fof(f819,plain,
! [X0,X1] :
( ~ empty(X0)
| ~ in(X1,sK21(X0)) ),
inference(resolution,[],[f540,f509]) ).
fof(f810,plain,
! [X0,X1] :
( ~ empty(X0)
| ~ in(X1,empty_set) ),
inference(resolution,[],[f540,f640]) ).
fof(f540,plain,
! [X2,X0,X1] :
( ~ element(X1,powerset(X2))
| ~ empty(X2)
| ~ in(X0,X1) ),
inference(cnf_transformation,[],[f254]) ).
fof(f254,plain,
! [X0,X1,X2] :
( ~ empty(X2)
| ~ element(X1,powerset(X2))
| ~ in(X0,X1) ),
inference(ennf_transformation,[],[f99]) ).
fof(f99,axiom,
! [X0,X1,X2] :
~ ( empty(X2)
& element(X1,powerset(X2))
& in(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t5_subset) ).
fof(f499,plain,
! [X0] :
( finite(sK16(X0))
| ~ rel_str(X0)
| ~ reflexive_relstr(X0)
| empty_carrier(X0) ),
inference(cnf_transformation,[],[f292]) ).
fof(f498,plain,
! [X0] :
( ~ empty(sK16(X0))
| ~ rel_str(X0)
| ~ reflexive_relstr(X0)
| empty_carrier(X0) ),
inference(cnf_transformation,[],[f292]) ).
fof(f432,plain,
! [X0] :
( relation_of2_as_subset(the_InternalRel(X0),the_carrier(X0),the_carrier(X0))
| ~ rel_str(X0) ),
inference(cnf_transformation,[],[f170]) ).
fof(f170,plain,
! [X0] :
( relation_of2_as_subset(the_InternalRel(X0),the_carrier(X0),the_carrier(X0))
| ~ rel_str(X0) ),
inference(ennf_transformation,[],[f35]) ).
fof(f35,axiom,
! [X0] :
( rel_str(X0)
=> relation_of2_as_subset(the_InternalRel(X0),the_carrier(X0),the_carrier(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_u1_orders_2) ).
fof(f805,plain,
! [X0] : ~ subset(powerset(powerset(X0)),X0),
inference(resolution,[],[f780,f514]) ).
fof(f780,plain,
! [X0,X1] :
( ~ subset(powerset(X1),X0)
| ~ subset(powerset(X0),X1) ),
inference(resolution,[],[f771,f750]) ).
fof(f800,plain,
! [X0] :
( ~ in(powerset(the_carrier(X0)),sK13(X0))
| ~ rel_str(X0) ),
inference(resolution,[],[f758,f515]) ).
fof(f425,plain,
! [X0] :
( element(sK11(X0),powerset(powerset(the_carrier(X0))))
| ~ one_sorted_str(X0) ),
inference(cnf_transformation,[],[f279]) ).
fof(f279,plain,
! [X0] :
( ( finite(sK11(X0))
& ~ empty(sK11(X0))
& element(sK11(X0),powerset(powerset(the_carrier(X0)))) )
| ~ one_sorted_str(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK11])],[f165,f278]) ).
fof(f278,plain,
! [X0] :
( ? [X1] :
( finite(X1)
& ~ empty(X1)
& element(X1,powerset(powerset(the_carrier(X0)))) )
=> ( finite(sK11(X0))
& ~ empty(sK11(X0))
& element(sK11(X0),powerset(powerset(the_carrier(X0)))) ) ),
introduced(choice_axiom,[]) ).
fof(f165,plain,
! [X0] :
( ? [X1] :
( finite(X1)
& ~ empty(X1)
& element(X1,powerset(powerset(the_carrier(X0)))) )
| ~ one_sorted_str(X0) ),
inference(ennf_transformation,[],[f83]) ).
fof(f83,axiom,
! [X0] :
( one_sorted_str(X0)
=> ? [X1] :
( finite(X1)
& ~ empty(X1)
& element(X1,powerset(powerset(the_carrier(X0)))) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc3_waybel_7) ).
fof(f797,plain,
! [X0] :
( ~ in(powerset(the_carrier(X0)),sK12(X0))
| ~ rel_str(X0) ),
inference(resolution,[],[f757,f515]) ).
fof(f794,plain,
! [X0] :
( ~ in(powerset(the_carrier(X0)),cast_as_carrier_subset(X0))
| ~ one_sorted_str(X0) ),
inference(resolution,[],[f751,f515]) ).
fof(f758,plain,
! [X0] :
( in(sK13(X0),powerset(the_carrier(X0)))
| ~ rel_str(X0) ),
inference(subsumption_resolution,[],[f746,f354]) ).
fof(f746,plain,
! [X0] :
( empty(powerset(the_carrier(X0)))
| in(sK13(X0),powerset(the_carrier(X0)))
| ~ rel_str(X0) ),
inference(resolution,[],[f517,f485]) ).
fof(f757,plain,
! [X0] :
( in(sK12(X0),powerset(the_carrier(X0)))
| ~ rel_str(X0) ),
inference(subsumption_resolution,[],[f745,f354]) ).
fof(f745,plain,
! [X0] :
( empty(powerset(the_carrier(X0)))
| in(sK12(X0),powerset(the_carrier(X0)))
| ~ rel_str(X0) ),
inference(resolution,[],[f517,f484]) ).
fof(f751,plain,
! [X0] :
( in(cast_as_carrier_subset(X0),powerset(the_carrier(X0)))
| ~ one_sorted_str(X0) ),
inference(subsumption_resolution,[],[f739,f354]) ).
fof(f739,plain,
! [X0] :
( empty(powerset(the_carrier(X0)))
| in(cast_as_carrier_subset(X0),powerset(the_carrier(X0)))
| ~ one_sorted_str(X0) ),
inference(resolution,[],[f517,f422]) ).
fof(f736,plain,
! [X0] :
( finite(sK13(X0))
| ~ rel_str(X0)
| ~ finite(the_carrier(X0)) ),
inference(resolution,[],[f485,f428]) ).
fof(f735,plain,
! [X0] :
( finite(sK12(X0))
| ~ rel_str(X0)
| ~ finite(the_carrier(X0)) ),
inference(resolution,[],[f484,f428]) ).
fof(f729,plain,
! [X0] :
( upper_bounded_relstr(X0)
| empty_carrier(X0)
| ~ rel_str(X0)
| ~ complete_relstr(X0) ),
inference(duplicate_literal_removal,[],[f726]) ).
fof(f726,plain,
! [X0] :
( ~ complete_relstr(X0)
| empty_carrier(X0)
| ~ rel_str(X0)
| upper_bounded_relstr(X0)
| ~ rel_str(X0) ),
inference(resolution,[],[f439,f434]) ).
fof(f728,plain,
! [X0] :
( lower_bounded_relstr(X0)
| empty_carrier(X0)
| ~ rel_str(X0)
| ~ complete_relstr(X0) ),
inference(duplicate_literal_removal,[],[f727]) ).
fof(f727,plain,
! [X0] :
( ~ complete_relstr(X0)
| empty_carrier(X0)
| ~ rel_str(X0)
| lower_bounded_relstr(X0)
| ~ rel_str(X0) ),
inference(resolution,[],[f439,f433]) ).
fof(f683,plain,
! [X0] :
( finite(cast_as_carrier_subset(X0))
| ~ finite(the_carrier(X0))
| ~ one_sorted_str(X0) ),
inference(resolution,[],[f428,f422]) ).
fof(f682,plain,
! [X0,X1] :
( ~ in(X0,powerset(X1))
| ~ finite(X1)
| finite(X0) ),
inference(resolution,[],[f428,f516]) ).
fof(f539,plain,
! [X2,X0,X1] :
( relation_of2_as_subset(X2,X0,X1)
| ~ relation_of2(X2,X0,X1) ),
inference(cnf_transformation,[],[f316]) ).
fof(f316,plain,
! [X0,X1,X2] :
( ( relation_of2_as_subset(X2,X0,X1)
| ~ relation_of2(X2,X0,X1) )
& ( relation_of2(X2,X0,X1)
| ~ relation_of2_as_subset(X2,X0,X1) ) ),
inference(nnf_transformation,[],[f90]) ).
fof(f90,axiom,
! [X0,X1,X2] :
( relation_of2_as_subset(X2,X0,X1)
<=> relation_of2(X2,X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',redefinition_m2_relset_1) ).
fof(f783,plain,
! [X0] : strict_rel_str(rel_str_of(X0,sK25(X0,X0))),
inference(resolution,[],[f781,f518]) ).
fof(f782,plain,
! [X0] : rel_str(rel_str_of(X0,sK25(X0,X0))),
inference(resolution,[],[f781,f519]) ).
fof(f781,plain,
! [X0,X1] : relation_of2(sK25(X0,X1),X0,X1),
inference(resolution,[],[f538,f531]) ).
fof(f538,plain,
! [X2,X0,X1] :
( ~ relation_of2_as_subset(X2,X0,X1)
| relation_of2(X2,X0,X1) ),
inference(cnf_transformation,[],[f316]) ).
fof(f524,plain,
! [X0,X1] :
( finite(cartesian_product2(X0,X1))
| ~ finite(X1)
| ~ finite(X0) ),
inference(cnf_transformation,[],[f244]) ).
fof(f244,plain,
! [X0,X1] :
( finite(cartesian_product2(X0,X1))
| ~ finite(X1)
| ~ finite(X0) ),
inference(flattening,[],[f243]) ).
fof(f243,plain,
! [X0,X1] :
( finite(cartesian_product2(X0,X1))
| ~ finite(X1)
| ~ finite(X0) ),
inference(ennf_transformation,[],[f44]) ).
fof(f44,axiom,
! [X0,X1] :
( ( finite(X1)
& finite(X0) )
=> finite(cartesian_product2(X0,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc14_finset_1) ).
fof(f522,plain,
! [X0,X1] :
( ~ empty(cartesian_product2(X0,X1))
| empty(X1)
| empty(X0) ),
inference(cnf_transformation,[],[f240]) ).
fof(f240,plain,
! [X0,X1] :
( ~ empty(cartesian_product2(X0,X1))
| empty(X1)
| empty(X0) ),
inference(flattening,[],[f239]) ).
fof(f239,plain,
! [X0,X1] :
( ~ empty(cartesian_product2(X0,X1))
| empty(X1)
| empty(X0) ),
inference(ennf_transformation,[],[f55]) ).
fof(f55,axiom,
! [X0,X1] :
( ( ~ empty(X1)
& ~ empty(X0) )
=> ~ empty(cartesian_product2(X0,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc4_subset_1) ).
fof(f777,plain,
! [X0] :
( ~ in(powerset(X0),sK9(X0))
| empty(X0) ),
inference(resolution,[],[f756,f515]) ).
fof(f775,plain,
! [X0] :
( ~ in(powerset(X0),sK8(X0))
| empty(X0) ),
inference(resolution,[],[f755,f515]) ).
fof(f773,plain,
! [X0] :
( ~ in(powerset(X0),sK7(X0))
| empty(X0) ),
inference(resolution,[],[f754,f515]) ).
fof(f771,plain,
! [X0,X1] :
( ~ in(powerset(X1),X0)
| ~ subset(X0,X1) ),
inference(resolution,[],[f750,f515]) ).
fof(f779,plain,
! [X0] : rel_str(rel_str_of(X0,sK24(X0,X0))),
inference(resolution,[],[f519,f530]) ).
fof(f519,plain,
! [X0,X1] :
( ~ relation_of2(X1,X0,X0)
| rel_str(rel_str_of(X0,X1)) ),
inference(cnf_transformation,[],[f237]) ).
fof(f237,plain,
! [X0,X1] :
( ( rel_str(rel_str_of(X0,X1))
& strict_rel_str(rel_str_of(X0,X1)) )
| ~ relation_of2(X1,X0,X0) ),
inference(ennf_transformation,[],[f22]) ).
fof(f22,axiom,
! [X0,X1] :
( relation_of2(X1,X0,X0)
=> ( rel_str(rel_str_of(X0,X1))
& strict_rel_str(rel_str_of(X0,X1)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_g1_orders_2) ).
fof(f756,plain,
! [X0] :
( in(sK9(X0),powerset(X0))
| empty(X0) ),
inference(subsumption_resolution,[],[f744,f354]) ).
fof(f744,plain,
! [X0] :
( empty(powerset(X0))
| in(sK9(X0),powerset(X0))
| empty(X0) ),
inference(resolution,[],[f517,f419]) ).
fof(f755,plain,
! [X0] :
( in(sK8(X0),powerset(X0))
| empty(X0) ),
inference(subsumption_resolution,[],[f743,f354]) ).
fof(f743,plain,
! [X0] :
( empty(powerset(X0))
| in(sK8(X0),powerset(X0))
| empty(X0) ),
inference(resolution,[],[f517,f416]) ).
fof(f754,plain,
! [X0] :
( in(sK7(X0),powerset(X0))
| empty(X0) ),
inference(subsumption_resolution,[],[f742,f354]) ).
fof(f742,plain,
! [X0] :
( empty(powerset(X0))
| in(sK7(X0),powerset(X0))
| empty(X0) ),
inference(resolution,[],[f517,f414]) ).
fof(f750,plain,
! [X0,X1] :
( in(X1,powerset(X0))
| ~ subset(X1,X0) ),
inference(subsumption_resolution,[],[f738,f354]) ).
fof(f738,plain,
! [X0,X1] :
( empty(powerset(X0))
| in(X1,powerset(X0))
| ~ subset(X1,X0) ),
inference(resolution,[],[f517,f527]) ).
fof(f769,plain,
! [X0] : ~ in(powerset(powerset(X0)),sK22(X0)),
inference(resolution,[],[f761,f515]) ).
fof(f767,plain,
! [X0] :
( ~ in(X0,sK20(X0))
| empty(X0) ),
inference(resolution,[],[f747,f515]) ).
fof(f766,plain,
! [X0] : strict_rel_str(rel_str_of(X0,sK24(X0,X0))),
inference(resolution,[],[f518,f530]) ).
fof(f761,plain,
! [X0] : in(sK22(X0),powerset(powerset(X0))),
inference(subsumption_resolution,[],[f749,f354]) ).
fof(f749,plain,
! [X0] :
( empty(powerset(powerset(X0)))
| in(sK22(X0),powerset(powerset(X0))) ),
inference(resolution,[],[f517,f511]) ).
fof(f747,plain,
! [X0] :
( in(sK20(X0),X0)
| empty(X0) ),
inference(resolution,[],[f517,f508]) ).
fof(f764,plain,
! [X0] : ~ in(powerset(X0),empty_set),
inference(resolution,[],[f760,f515]) ).
fof(f518,plain,
! [X0,X1] :
( ~ relation_of2(X1,X0,X0)
| strict_rel_str(rel_str_of(X0,X1)) ),
inference(cnf_transformation,[],[f237]) ).
fof(f760,plain,
! [X0] : in(empty_set,powerset(X0)),
inference(forward_demodulation,[],[f759,f638]) ).
fof(f759,plain,
! [X0] : in(sK21(X0),powerset(X0)),
inference(subsumption_resolution,[],[f748,f354]) ).
fof(f748,plain,
! [X0] :
( empty(powerset(X0))
| in(sK21(X0),powerset(X0)) ),
inference(resolution,[],[f517,f509]) ).
fof(f752,plain,
! [X0] : in(empty_set,powerset(X0)),
inference(subsumption_resolution,[],[f740,f354]) ).
fof(f740,plain,
! [X0] :
( empty(powerset(X0))
| in(empty_set,powerset(X0)) ),
inference(resolution,[],[f517,f640]) ).
fof(f517,plain,
! [X0,X1] :
( ~ element(X0,X1)
| empty(X1)
| in(X0,X1) ),
inference(cnf_transformation,[],[f236]) ).
fof(f236,plain,
! [X0,X1] :
( in(X0,X1)
| empty(X1)
| ~ element(X0,X1) ),
inference(flattening,[],[f235]) ).
fof(f235,plain,
! [X0,X1] :
( in(X0,X1)
| empty(X1)
| ~ element(X0,X1) ),
inference(ennf_transformation,[],[f95]) ).
fof(f95,axiom,
! [X0,X1] :
( element(X0,X1)
=> ( in(X0,X1)
| empty(X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t2_subset) ).
fof(f485,plain,
! [X0] :
( element(sK13(X0),powerset(the_carrier(X0)))
| ~ rel_str(X0) ),
inference(cnf_transformation,[],[f286]) ).
fof(f286,plain,
! [X0] :
( element(sK13(X0),powerset(the_carrier(X0)))
| ~ rel_str(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK13])],[f202,f285]) ).
fof(f285,plain,
! [X0] :
( ? [X1] : element(X1,powerset(the_carrier(X0)))
=> element(sK13(X0),powerset(the_carrier(X0))) ),
introduced(choice_axiom,[]) ).
fof(f202,plain,
! [X0] :
( ? [X1] : element(X1,powerset(the_carrier(X0)))
| ~ rel_str(X0) ),
inference(ennf_transformation,[],[f115]) ).
fof(f115,plain,
! [X0] :
( rel_str(X0)
=> ? [X1] : element(X1,powerset(the_carrier(X0))) ),
inference(pure_predicate_removal,[],[f107]) ).
fof(f107,plain,
! [X0] :
( rel_str(X0)
=> ? [X1] :
( directed_subset(X1,X0)
& element(X1,powerset(the_carrier(X0))) ) ),
inference(pure_predicate_removal,[],[f71]) ).
fof(f71,axiom,
! [X0] :
( rel_str(X0)
=> ? [X1] :
( filtered_subset(X1,X0)
& directed_subset(X1,X0)
& element(X1,powerset(the_carrier(X0))) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc1_waybel_0) ).
fof(f484,plain,
! [X0] :
( element(sK12(X0),powerset(the_carrier(X0)))
| ~ rel_str(X0) ),
inference(cnf_transformation,[],[f284]) ).
fof(f284,plain,
! [X0] :
( element(sK12(X0),powerset(the_carrier(X0)))
| ~ rel_str(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK12])],[f201,f283]) ).
fof(f283,plain,
! [X0] :
( ? [X1] : element(X1,powerset(the_carrier(X0)))
=> element(sK12(X0),powerset(the_carrier(X0))) ),
introduced(choice_axiom,[]) ).
fof(f201,plain,
! [X0] :
( ? [X1] : element(X1,powerset(the_carrier(X0)))
| ~ rel_str(X0) ),
inference(ennf_transformation,[],[f141]) ).
fof(f141,plain,
! [X0] :
( rel_str(X0)
=> ? [X1] : element(X1,powerset(the_carrier(X0))) ),
inference(pure_predicate_removal,[],[f139]) ).
fof(f139,plain,
! [X0] :
( rel_str(X0)
=> ? [X1] :
( lower_relstr_subset(X1,X0)
& element(X1,powerset(the_carrier(X0))) ) ),
inference(pure_predicate_removal,[],[f87]) ).
fof(f87,axiom,
! [X0] :
( rel_str(X0)
=> ? [X1] :
( upper_relstr_subset(X1,X0)
& lower_relstr_subset(X1,X0)
& element(X1,powerset(the_carrier(X0))) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc7_waybel_0) ).
fof(f442,plain,
! [X0] :
( with_infima_relstr(X0)
| ~ complete_relstr(X0)
| empty_carrier(X0)
| ~ rel_str(X0) ),
inference(cnf_transformation,[],[f182]) ).
fof(f182,plain,
! [X0] :
( ( with_infima_relstr(X0)
& with_suprema_relstr(X0)
& ~ empty_carrier(X0) )
| ~ complete_relstr(X0)
| empty_carrier(X0)
| ~ rel_str(X0) ),
inference(flattening,[],[f181]) ).
fof(f181,plain,
! [X0] :
( ( with_infima_relstr(X0)
& with_suprema_relstr(X0)
& ~ empty_carrier(X0) )
| ~ complete_relstr(X0)
| empty_carrier(X0)
| ~ rel_str(X0) ),
inference(ennf_transformation,[],[f12]) ).
fof(f12,axiom,
! [X0] :
( rel_str(X0)
=> ( ( complete_relstr(X0)
& ~ empty_carrier(X0) )
=> ( with_infima_relstr(X0)
& with_suprema_relstr(X0)
& ~ empty_carrier(X0) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc1_yellow_0) ).
fof(f441,plain,
! [X0] :
( with_suprema_relstr(X0)
| ~ complete_relstr(X0)
| empty_carrier(X0)
| ~ rel_str(X0) ),
inference(cnf_transformation,[],[f182]) ).
fof(f686,plain,
! [X0] :
( finite(sK7(X0))
| ~ finite(X0)
| empty(X0) ),
inference(resolution,[],[f428,f414]) ).
fof(f681,plain,
! [X0,X1] :
( ~ subset(X0,X1)
| ~ finite(X1)
| finite(X0) ),
inference(resolution,[],[f428,f527]) ).
fof(f689,plain,
! [X0] :
( finite(sK20(powerset(X0)))
| ~ finite(X0) ),
inference(resolution,[],[f428,f508]) ).
fof(f439,plain,
! [X0] :
( bounded_relstr(X0)
| ~ complete_relstr(X0)
| empty_carrier(X0)
| ~ rel_str(X0) ),
inference(cnf_transformation,[],[f180]) ).
fof(f180,plain,
! [X0] :
( ( bounded_relstr(X0)
& ~ empty_carrier(X0) )
| ~ complete_relstr(X0)
| empty_carrier(X0)
| ~ rel_str(X0) ),
inference(flattening,[],[f179]) ).
fof(f179,plain,
! [X0] :
( ( bounded_relstr(X0)
& ~ empty_carrier(X0) )
| ~ complete_relstr(X0)
| empty_carrier(X0)
| ~ rel_str(X0) ),
inference(ennf_transformation,[],[f16]) ).
fof(f16,axiom,
! [X0] :
( rel_str(X0)
=> ( ( complete_relstr(X0)
& ~ empty_carrier(X0) )
=> ( bounded_relstr(X0)
& ~ empty_carrier(X0) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc3_yellow_0) ).
fof(f692,plain,
! [X0] :
( finite(empty_set)
| ~ finite(X0) ),
inference(forward_demodulation,[],[f690,f638]) ).
fof(f690,plain,
! [X0] :
( finite(sK21(X0))
| ~ finite(X0) ),
inference(resolution,[],[f428,f509]) ).
fof(f684,plain,
! [X0] :
( finite(empty_set)
| ~ finite(X0) ),
inference(resolution,[],[f428,f640]) ).
fof(f428,plain,
! [X0,X1] :
( ~ element(X1,powerset(X0))
| finite(X1)
| ~ finite(X0) ),
inference(cnf_transformation,[],[f166]) ).
fof(f166,plain,
! [X0] :
( ! [X1] :
( finite(X1)
| ~ element(X1,powerset(X0)) )
| ~ finite(X0) ),
inference(ennf_transformation,[],[f13]) ).
fof(f13,axiom,
! [X0] :
( finite(X0)
=> ! [X1] :
( element(X1,powerset(X0))
=> finite(X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc2_finset_1) ).
fof(f422,plain,
! [X0] :
( element(cast_as_carrier_subset(X0),powerset(the_carrier(X0)))
| ~ one_sorted_str(X0) ),
inference(cnf_transformation,[],[f162]) ).
fof(f162,plain,
! [X0] :
( element(cast_as_carrier_subset(X0),powerset(the_carrier(X0)))
| ~ one_sorted_str(X0) ),
inference(ennf_transformation,[],[f25]) ).
fof(f25,axiom,
! [X0] :
( one_sorted_str(X0)
=> element(cast_as_carrier_subset(X0),powerset(the_carrier(X0))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k2_pre_topc) ).
fof(f528,plain,
! [X0,X1] :
( ~ empty(X1)
| X0 = X1
| ~ empty(X0) ),
inference(cnf_transformation,[],[f247]) ).
fof(f247,plain,
! [X0,X1] :
( ~ empty(X1)
| X0 = X1
| ~ empty(X0) ),
inference(ennf_transformation,[],[f102]) ).
fof(f102,axiom,
! [X0,X1] :
~ ( empty(X1)
& X0 != X1
& empty(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t8_boole) ).
fof(f527,plain,
! [X0,X1] :
( element(X0,powerset(X1))
| ~ subset(X0,X1) ),
inference(cnf_transformation,[],[f246]) ).
fof(f246,plain,
! [X0,X1] :
( element(X0,powerset(X1))
| ~ subset(X0,X1) ),
inference(ennf_transformation,[],[f104]) ).
fof(f104,plain,
! [X0,X1] :
( subset(X0,X1)
=> element(X0,powerset(X1)) ),
inference(unused_predicate_definition_removal,[],[f97]) ).
fof(f97,axiom,
! [X0,X1] :
( element(X0,powerset(X1))
<=> subset(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t3_subset) ).
fof(f505,plain,
! [X0] :
( ~ empty(cast_as_carrier_subset(X0))
| ~ rel_str(X0)
| ~ with_suprema_relstr(X0) ),
inference(cnf_transformation,[],[f230]) ).
fof(f230,plain,
! [X0] :
( ~ empty(cast_as_carrier_subset(X0))
| ~ rel_str(X0)
| ~ with_suprema_relstr(X0) ),
inference(flattening,[],[f229]) ).
fof(f229,plain,
! [X0] :
( ~ empty(cast_as_carrier_subset(X0))
| ~ rel_str(X0)
| ~ with_suprema_relstr(X0) ),
inference(ennf_transformation,[],[f113]) ).
fof(f113,plain,
! [X0] :
( ( rel_str(X0)
& with_suprema_relstr(X0) )
=> ~ empty(cast_as_carrier_subset(X0)) ),
inference(pure_predicate_removal,[],[f50]) ).
fof(f50,axiom,
! [X0] :
( ( rel_str(X0)
& with_suprema_relstr(X0) )
=> ( directed_subset(cast_as_carrier_subset(X0),X0)
& ~ empty(cast_as_carrier_subset(X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc2_waybel_0) ).
fof(f504,plain,
! [X0] :
( ~ empty(cast_as_carrier_subset(X0))
| ~ rel_str(X0)
| ~ with_infima_relstr(X0) ),
inference(cnf_transformation,[],[f228]) ).
fof(f228,plain,
! [X0] :
( ~ empty(cast_as_carrier_subset(X0))
| ~ rel_str(X0)
| ~ with_infima_relstr(X0) ),
inference(flattening,[],[f227]) ).
fof(f227,plain,
! [X0] :
( ~ empty(cast_as_carrier_subset(X0))
| ~ rel_str(X0)
| ~ with_infima_relstr(X0) ),
inference(ennf_transformation,[],[f108]) ).
fof(f108,plain,
! [X0] :
( ( rel_str(X0)
& with_infima_relstr(X0) )
=> ~ empty(cast_as_carrier_subset(X0)) ),
inference(pure_predicate_removal,[],[f56]) ).
fof(f56,axiom,
! [X0] :
( ( rel_str(X0)
& with_infima_relstr(X0) )
=> ( filtered_subset(cast_as_carrier_subset(X0),X0)
& ~ empty(cast_as_carrier_subset(X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc4_waybel_0) ).
fof(f496,plain,
! [X0] :
( ~ empty(sK15(X0))
| ~ rel_str(X0)
| empty_carrier(X0) ),
inference(cnf_transformation,[],[f290]) ).
fof(f493,plain,
! [X0] :
( ~ empty(cast_as_carrier_subset(X0))
| ~ rel_str(X0)
| empty_carrier(X0) ),
inference(cnf_transformation,[],[f216]) ).
fof(f216,plain,
! [X0] :
( ~ empty(cast_as_carrier_subset(X0))
| ~ rel_str(X0)
| empty_carrier(X0) ),
inference(flattening,[],[f215]) ).
fof(f215,plain,
! [X0] :
( ~ empty(cast_as_carrier_subset(X0))
| ~ rel_str(X0)
| empty_carrier(X0) ),
inference(ennf_transformation,[],[f52]) ).
fof(f52,axiom,
! [X0] :
( ( rel_str(X0)
& ~ empty_carrier(X0) )
=> ~ empty(cast_as_carrier_subset(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc2_yellow_0) ).
fof(f490,plain,
! [X0] :
( ~ empty(sK14(X0))
| ~ one_sorted_str(X0)
| empty_carrier(X0) ),
inference(cnf_transformation,[],[f288]) ).
fof(f487,plain,
! [X0] :
( ~ empty(the_carrier(X0))
| ~ one_sorted_str(X0)
| empty_carrier(X0) ),
inference(cnf_transformation,[],[f206]) ).
fof(f206,plain,
! [X0] :
( ~ empty(the_carrier(X0))
| ~ one_sorted_str(X0)
| empty_carrier(X0) ),
inference(flattening,[],[f205]) ).
fof(f205,plain,
! [X0] :
( ~ empty(the_carrier(X0))
| ~ one_sorted_str(X0)
| empty_carrier(X0) ),
inference(ennf_transformation,[],[f46]) ).
fof(f46,axiom,
! [X0] :
( ( one_sorted_str(X0)
& ~ empty_carrier(X0) )
=> ~ empty(the_carrier(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc1_struct_0) ).
fof(f673,plain,
! [X0] :
( rel_str(sK10(X0))
| ~ one_sorted_str(X0) ),
inference(duplicate_literal_removal,[],[f672]) ).
fof(f672,plain,
! [X0] :
( rel_str(sK10(X0))
| ~ one_sorted_str(X0)
| ~ one_sorted_str(X0) ),
inference(resolution,[],[f423,f424]) ).
fof(f486,plain,
! [X0] :
( ~ empty(cast_as_carrier_subset(X0))
| ~ one_sorted_str(X0)
| empty_carrier(X0) ),
inference(cnf_transformation,[],[f204]) ).
fof(f204,plain,
! [X0] :
( ~ empty(cast_as_carrier_subset(X0))
| ~ one_sorted_str(X0)
| empty_carrier(X0) ),
inference(flattening,[],[f203]) ).
fof(f203,plain,
! [X0] :
( ~ empty(cast_as_carrier_subset(X0))
| ~ one_sorted_str(X0)
| empty_carrier(X0) ),
inference(ennf_transformation,[],[f49]) ).
fof(f49,axiom,
! [X0] :
( ( one_sorted_str(X0)
& ~ empty_carrier(X0) )
=> ~ empty(cast_as_carrier_subset(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc2_pre_topc) ).
fof(f674,plain,
rel_str(sK5),
inference(subsumption_resolution,[],[f671,f346]) ).
fof(f671,plain,
( rel_str(sK5)
| ~ one_sorted_str(sK4) ),
inference(resolution,[],[f423,f348]) ).
fof(f423,plain,
! [X0,X1] :
( ~ net_str(X1,X0)
| rel_str(X1)
| ~ one_sorted_str(X0) ),
inference(cnf_transformation,[],[f163]) ).
fof(f163,plain,
! [X0] :
( ! [X1] :
( rel_str(X1)
| ~ net_str(X1,X0) )
| ~ one_sorted_str(X0) ),
inference(ennf_transformation,[],[f31]) ).
fof(f31,axiom,
! [X0] :
( one_sorted_str(X0)
=> ! [X1] :
( net_str(X1,X0)
=> rel_str(X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_l1_waybel_0) ).
fof(f419,plain,
! [X0] :
( element(sK9(X0),powerset(X0))
| empty(X0) ),
inference(cnf_transformation,[],[f275]) ).
fof(f275,plain,
! [X0] :
( ( finite(sK9(X0))
& ~ empty(sK9(X0))
& element(sK9(X0),powerset(X0)) )
| empty(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK9])],[f161,f274]) ).
fof(f274,plain,
! [X0] :
( ? [X1] :
( finite(X1)
& ~ empty(X1)
& element(X1,powerset(X0)) )
=> ( finite(sK9(X0))
& ~ empty(sK9(X0))
& element(sK9(X0),powerset(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f161,plain,
! [X0] :
( ? [X1] :
( finite(X1)
& ~ empty(X1)
& element(X1,powerset(X0)) )
| empty(X0) ),
inference(ennf_transformation,[],[f80]) ).
fof(f80,axiom,
! [X0] :
( ~ empty(X0)
=> ? [X1] :
( finite(X1)
& ~ empty(X1)
& element(X1,powerset(X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc3_finset_1) ).
fof(f416,plain,
! [X0] :
( element(sK8(X0),powerset(X0))
| empty(X0) ),
inference(cnf_transformation,[],[f273]) ).
fof(f273,plain,
! [X0] :
( ( finite(sK8(X0))
& ~ empty(sK8(X0))
& element(sK8(X0),powerset(X0)) )
| empty(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK8])],[f160,f272]) ).
fof(f272,plain,
! [X0] :
( ? [X1] :
( finite(X1)
& ~ empty(X1)
& element(X1,powerset(X0)) )
=> ( finite(sK8(X0))
& ~ empty(sK8(X0))
& element(sK8(X0),powerset(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f160,plain,
! [X0] :
( ? [X1] :
( finite(X1)
& ~ empty(X1)
& element(X1,powerset(X0)) )
| empty(X0) ),
inference(ennf_transformation,[],[f84]) ).
fof(f84,axiom,
! [X0] :
( ~ empty(X0)
=> ? [X1] :
( finite(X1)
& ~ empty(X1)
& element(X1,powerset(X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc4_finset_1) ).
fof(f414,plain,
! [X0] :
( element(sK7(X0),powerset(X0))
| empty(X0) ),
inference(cnf_transformation,[],[f271]) ).
fof(f271,plain,
! [X0] :
( ( ~ empty(sK7(X0))
& element(sK7(X0),powerset(X0)) )
| empty(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK7])],[f159,f270]) ).
fof(f270,plain,
! [X0] :
( ? [X1] :
( ~ empty(X1)
& element(X1,powerset(X0)) )
=> ( ~ empty(sK7(X0))
& element(sK7(X0),powerset(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f159,plain,
! [X0] :
( ? [X1] :
( ~ empty(X1)
& element(X1,powerset(X0)) )
| empty(X0) ),
inference(ennf_transformation,[],[f70]) ).
fof(f70,axiom,
! [X0] :
( ~ empty(X0)
=> ? [X1] :
( ~ empty(X1)
& element(X1,powerset(X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc1_subset_1) ).
fof(f349,plain,
( is_eventually_in(sK4,sK5,sK6)
| in(sK6,filter_of_net_str(sK4,sK5)) ),
inference(cnf_transformation,[],[f268]) ).
fof(f531,plain,
! [X0,X1] : relation_of2_as_subset(sK25(X0,X1),X0,X1),
inference(cnf_transformation,[],[f311]) ).
fof(f311,plain,
! [X0,X1] : relation_of2_as_subset(sK25(X0,X1),X0,X1),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK25])],[f42,f310]) ).
fof(f310,plain,
! [X0,X1] :
( ? [X2] : relation_of2_as_subset(X2,X0,X1)
=> relation_of2_as_subset(sK25(X0,X1),X0,X1) ),
introduced(choice_axiom,[]) ).
fof(f42,axiom,
! [X0,X1] :
? [X2] : relation_of2_as_subset(X2,X0,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',existence_m2_relset_1) ).
fof(f530,plain,
! [X0,X1] : relation_of2(sK24(X0,X1),X0,X1),
inference(cnf_transformation,[],[f309]) ).
fof(f309,plain,
! [X0,X1] : relation_of2(sK24(X0,X1),X0,X1),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK24])],[f40,f308]) ).
fof(f308,plain,
! [X0,X1] :
( ? [X2] : relation_of2(X2,X0,X1)
=> relation_of2(sK24(X0,X1),X0,X1) ),
introduced(choice_axiom,[]) ).
fof(f40,axiom,
! [X0,X1] :
? [X2] : relation_of2(X2,X0,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',existence_m1_relset_1) ).
fof(f516,plain,
! [X0,X1] :
( element(X0,X1)
| ~ in(X0,X1) ),
inference(cnf_transformation,[],[f234]) ).
fof(f234,plain,
! [X0,X1] :
( element(X0,X1)
| ~ in(X0,X1) ),
inference(ennf_transformation,[],[f94]) ).
fof(f94,axiom,
! [X0,X1] :
( in(X0,X1)
=> element(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t1_subset) ).
fof(f515,plain,
! [X0,X1] :
( ~ in(X1,X0)
| ~ in(X0,X1) ),
inference(cnf_transformation,[],[f233]) ).
fof(f233,plain,
! [X0,X1] :
( ~ in(X1,X0)
| ~ in(X0,X1) ),
inference(ennf_transformation,[],[f2]) ).
fof(f2,axiom,
! [X0,X1] :
( in(X0,X1)
=> ~ in(X1,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',antisymmetry_r2_hidden) ).
fof(f511,plain,
! [X0] : element(sK22(X0),powerset(powerset(X0))),
inference(cnf_transformation,[],[f304]) ).
fof(f304,plain,
! [X0] :
( finite(sK22(X0))
& ~ empty(sK22(X0))
& element(sK22(X0),powerset(powerset(X0))) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK22])],[f78,f303]) ).
fof(f303,plain,
! [X0] :
( ? [X1] :
( finite(X1)
& ~ empty(X1)
& element(X1,powerset(powerset(X0))) )
=> ( finite(sK22(X0))
& ~ empty(sK22(X0))
& element(sK22(X0),powerset(powerset(X0))) ) ),
introduced(choice_axiom,[]) ).
fof(f78,axiom,
! [X0] :
? [X1] :
( finite(X1)
& ~ empty(X1)
& element(X1,powerset(powerset(X0))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc2_waybel_7) ).
fof(f437,plain,
! [X0] :
( ~ with_suprema_relstr(X0)
| ~ empty_carrier(X0)
| ~ rel_str(X0) ),
inference(cnf_transformation,[],[f178]) ).
fof(f178,plain,
! [X0] :
( ~ empty_carrier(X0)
| ~ with_suprema_relstr(X0)
| ~ rel_str(X0) ),
inference(flattening,[],[f177]) ).
fof(f177,plain,
! [X0] :
( ~ empty_carrier(X0)
| ~ with_suprema_relstr(X0)
| ~ rel_str(X0) ),
inference(ennf_transformation,[],[f9]) ).
fof(f9,axiom,
! [X0] :
( rel_str(X0)
=> ( with_suprema_relstr(X0)
=> ~ empty_carrier(X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc1_lattice3) ).
fof(f435,plain,
! [X0] :
( ~ with_infima_relstr(X0)
| ~ empty_carrier(X0)
| ~ rel_str(X0) ),
inference(cnf_transformation,[],[f174]) ).
fof(f174,plain,
! [X0] :
( ~ empty_carrier(X0)
| ~ with_infima_relstr(X0)
| ~ rel_str(X0) ),
inference(flattening,[],[f173]) ).
fof(f173,plain,
! [X0] :
( ~ empty_carrier(X0)
| ~ with_infima_relstr(X0)
| ~ rel_str(X0) ),
inference(ennf_transformation,[],[f14]) ).
fof(f14,axiom,
! [X0] :
( rel_str(X0)
=> ( with_infima_relstr(X0)
=> ~ empty_carrier(X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc2_lattice3) ).
fof(f434,plain,
! [X0] :
( ~ bounded_relstr(X0)
| upper_bounded_relstr(X0)
| ~ rel_str(X0) ),
inference(cnf_transformation,[],[f172]) ).
fof(f172,plain,
! [X0] :
( ( upper_bounded_relstr(X0)
& lower_bounded_relstr(X0) )
| ~ bounded_relstr(X0)
| ~ rel_str(X0) ),
inference(flattening,[],[f171]) ).
fof(f171,plain,
! [X0] :
( ( upper_bounded_relstr(X0)
& lower_bounded_relstr(X0) )
| ~ bounded_relstr(X0)
| ~ rel_str(X0) ),
inference(ennf_transformation,[],[f17]) ).
fof(f17,axiom,
! [X0] :
( rel_str(X0)
=> ( bounded_relstr(X0)
=> ( upper_bounded_relstr(X0)
& lower_bounded_relstr(X0) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc4_yellow_0) ).
fof(f433,plain,
! [X0] :
( ~ bounded_relstr(X0)
| lower_bounded_relstr(X0)
| ~ rel_str(X0) ),
inference(cnf_transformation,[],[f172]) ).
fof(f424,plain,
! [X0] :
( net_str(sK10(X0),X0)
| ~ one_sorted_str(X0) ),
inference(cnf_transformation,[],[f277]) ).
fof(f277,plain,
! [X0] :
( net_str(sK10(X0),X0)
| ~ one_sorted_str(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK10])],[f164,f276]) ).
fof(f276,plain,
! [X0] :
( ? [X1] : net_str(X1,X0)
=> net_str(sK10(X0),X0) ),
introduced(choice_axiom,[]) ).
fof(f164,plain,
! [X0] :
( ? [X1] : net_str(X1,X0)
| ~ one_sorted_str(X0) ),
inference(ennf_transformation,[],[f39]) ).
fof(f39,axiom,
! [X0] :
( one_sorted_str(X0)
=> ? [X1] : net_str(X1,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',existence_l1_waybel_0) ).
fof(f529,plain,
! [X0,X1] :
( ~ in(X0,X1)
| ~ empty(X1) ),
inference(cnf_transformation,[],[f248]) ).
fof(f248,plain,
! [X0,X1] :
( ~ empty(X1)
| ~ in(X0,X1) ),
inference(ennf_transformation,[],[f101]) ).
fof(f101,axiom,
! [X0,X1] :
~ ( empty(X1)
& in(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t7_boole) ).
fof(f640,plain,
! [X0] : element(empty_set,powerset(X0)),
inference(superposition,[],[f509,f638]) ).
fof(f638,plain,
! [X0] : empty_set = sK21(X0),
inference(resolution,[],[f430,f510]) ).
fof(f637,plain,
empty_set = sK32,
inference(resolution,[],[f430,f548]) ).
fof(f509,plain,
! [X0] : element(sK21(X0),powerset(X0)),
inference(cnf_transformation,[],[f302]) ).
fof(f302,plain,
! [X0] :
( empty(sK21(X0))
& element(sK21(X0),powerset(X0)) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK21])],[f76,f301]) ).
fof(f301,plain,
! [X0] :
( ? [X1] :
( empty(X1)
& element(X1,powerset(X0)) )
=> ( empty(sK21(X0))
& element(sK21(X0),powerset(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f76,axiom,
! [X0] :
? [X1] :
( empty(X1)
& element(X1,powerset(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc2_subset_1) ).
fof(f430,plain,
! [X0] :
( ~ empty(X0)
| empty_set = X0 ),
inference(cnf_transformation,[],[f168]) ).
fof(f168,plain,
! [X0] :
( empty_set = X0
| ~ empty(X0) ),
inference(ennf_transformation,[],[f100]) ).
fof(f100,axiom,
! [X0] :
( empty(X0)
=> empty_set = X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t6_boole) ).
fof(f427,plain,
! [X0] :
( finite(sK11(X0))
| ~ one_sorted_str(X0) ),
inference(cnf_transformation,[],[f279]) ).
fof(f426,plain,
! [X0] :
( ~ empty(sK11(X0))
| ~ one_sorted_str(X0) ),
inference(cnf_transformation,[],[f279]) ).
fof(f421,plain,
! [X0] :
( finite(sK9(X0))
| empty(X0) ),
inference(cnf_transformation,[],[f275]) ).
fof(f420,plain,
! [X0] :
( ~ empty(sK9(X0))
| empty(X0) ),
inference(cnf_transformation,[],[f275]) ).
fof(f418,plain,
! [X0] :
( finite(sK8(X0))
| empty(X0) ),
inference(cnf_transformation,[],[f273]) ).
fof(f417,plain,
! [X0] :
( ~ empty(sK8(X0))
| empty(X0) ),
inference(cnf_transformation,[],[f273]) ).
fof(f415,plain,
! [X0] :
( ~ empty(sK7(X0))
| empty(X0) ),
inference(cnf_transformation,[],[f271]) ).
fof(f400,plain,
! [X0] :
( ~ trivial_carrier(boole_POSet(X0))
| ~ sP0(X0) ),
inference(cnf_transformation,[],[f269]) ).
fof(f269,plain,
! [X0] :
( ( complete_relstr(boole_POSet(X0))
& with_infima_relstr(boole_POSet(X0))
& with_suprema_relstr(boole_POSet(X0))
& join_complete_relstr(boole_POSet(X0))
& up_complete_relstr(boole_POSet(X0))
& bounded_relstr(boole_POSet(X0))
& upper_bounded_relstr(boole_POSet(X0))
& lower_bounded_relstr(boole_POSet(X0))
& antisymmetric_relstr(boole_POSet(X0))
& transitive_relstr(boole_POSet(X0))
& reflexive_relstr(boole_POSet(X0))
& strict_rel_str(boole_POSet(X0))
& ~ trivial_carrier(boole_POSet(X0))
& ~ empty_carrier(boole_POSet(X0)) )
| ~ sP0(X0) ),
inference(nnf_transformation,[],[f255]) ).
fof(f255,plain,
! [X0] :
( ( complete_relstr(boole_POSet(X0))
& with_infima_relstr(boole_POSet(X0))
& with_suprema_relstr(boole_POSet(X0))
& join_complete_relstr(boole_POSet(X0))
& up_complete_relstr(boole_POSet(X0))
& bounded_relstr(boole_POSet(X0))
& upper_bounded_relstr(boole_POSet(X0))
& lower_bounded_relstr(boole_POSet(X0))
& antisymmetric_relstr(boole_POSet(X0))
& transitive_relstr(boole_POSet(X0))
& reflexive_relstr(boole_POSet(X0))
& strict_rel_str(boole_POSet(X0))
& ~ trivial_carrier(boole_POSet(X0))
& ~ empty_carrier(boole_POSet(X0)) )
| ~ sP0(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
fof(f508,plain,
! [X0] : element(sK20(X0),X0),
inference(cnf_transformation,[],[f300]) ).
fof(f300,plain,
! [X0] : element(sK20(X0),X0),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK20])],[f41,f299]) ).
fof(f299,plain,
! [X0] :
( ? [X1] : element(X1,X0)
=> element(sK20(X0),X0) ),
introduced(choice_axiom,[]) ).
fof(f41,axiom,
! [X0] :
? [X1] : element(X1,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',existence_m1_subset_1) ).
fof(f476,plain,
! [X0] :
( ~ sP3(X0)
| with_suprema_relstr(X0) ),
inference(cnf_transformation,[],[f282]) ).
fof(f282,plain,
! [X0] :
( ( upper_bounded_relstr(X0)
& with_suprema_relstr(X0)
& antisymmetric_relstr(X0)
& reflexive_relstr(X0)
& ~ empty_carrier(X0) )
| ~ sP3(X0) ),
inference(nnf_transformation,[],[f261]) ).
fof(f467,plain,
! [X0] :
( ~ sP2(X0)
| bounded_relstr(X0) ),
inference(cnf_transformation,[],[f281]) ).
fof(f281,plain,
! [X0] :
( ( bounded_relstr(X0)
& upper_bounded_relstr(X0)
& lower_bounded_relstr(X0)
& complete_relstr(X0)
& with_infima_relstr(X0)
& with_suprema_relstr(X0)
& antisymmetric_relstr(X0)
& transitive_relstr(X0)
& reflexive_relstr(X0)
& ~ empty_carrier(X0) )
| ~ sP2(X0) ),
inference(nnf_transformation,[],[f259]) ).
fof(f259,plain,
! [X0] :
( ( bounded_relstr(X0)
& upper_bounded_relstr(X0)
& lower_bounded_relstr(X0)
& complete_relstr(X0)
& with_infima_relstr(X0)
& with_suprema_relstr(X0)
& antisymmetric_relstr(X0)
& transitive_relstr(X0)
& reflexive_relstr(X0)
& ~ empty_carrier(X0) )
| ~ sP2(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP2])]) ).
fof(f466,plain,
! [X0] :
( ~ sP2(X0)
| upper_bounded_relstr(X0) ),
inference(cnf_transformation,[],[f281]) ).
fof(f464,plain,
! [X0] :
( ~ sP2(X0)
| complete_relstr(X0) ),
inference(cnf_transformation,[],[f281]) ).
fof(f463,plain,
! [X0] :
( ~ sP2(X0)
| with_infima_relstr(X0) ),
inference(cnf_transformation,[],[f281]) ).
fof(f449,plain,
! [X0] :
( ~ sP1(X0)
| complete_relstr(X0) ),
inference(cnf_transformation,[],[f280]) ).
fof(f280,plain,
! [X0] :
( ( complete_relstr(X0)
& antisymmetric_relstr(X0)
& transitive_relstr(X0)
& reflexive_relstr(X0)
& ~ empty_carrier(X0) )
| ~ sP1(X0) ),
inference(nnf_transformation,[],[f257]) ).
fof(f448,plain,
! [X0] :
( ~ sP1(X0)
| antisymmetric_relstr(X0) ),
inference(cnf_transformation,[],[f280]) ).
fof(f447,plain,
! [X0] :
( ~ sP1(X0)
| transitive_relstr(X0) ),
inference(cnf_transformation,[],[f280]) ).
fof(f431,plain,
! [X0] :
( one_sorted_str(X0)
| ~ rel_str(X0) ),
inference(cnf_transformation,[],[f169]) ).
fof(f169,plain,
! [X0] :
( one_sorted_str(X0)
| ~ rel_str(X0) ),
inference(ennf_transformation,[],[f29]) ).
fof(f29,axiom,
! [X0] :
( rel_str(X0)
=> one_sorted_str(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_l1_orders_2) ).
fof(f429,plain,
! [X0] :
( finite(X0)
| ~ empty(X0) ),
inference(cnf_transformation,[],[f167]) ).
fof(f167,plain,
! [X0] :
( finite(X0)
| ~ empty(X0) ),
inference(ennf_transformation,[],[f8]) ).
fof(f8,axiom,
! [X0] :
( empty(X0)
=> finite(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc1_finset_1) ).
fof(f413,plain,
! [X0] :
( sP0(X0)
| empty(X0) ),
inference(cnf_transformation,[],[f256]) ).
fof(f256,plain,
! [X0] :
( sP0(X0)
| empty(X0) ),
inference(definition_folding,[],[f158,f255]) ).
fof(f158,plain,
! [X0] :
( ( complete_relstr(boole_POSet(X0))
& with_infima_relstr(boole_POSet(X0))
& with_suprema_relstr(boole_POSet(X0))
& join_complete_relstr(boole_POSet(X0))
& up_complete_relstr(boole_POSet(X0))
& bounded_relstr(boole_POSet(X0))
& upper_bounded_relstr(boole_POSet(X0))
& lower_bounded_relstr(boole_POSet(X0))
& antisymmetric_relstr(boole_POSet(X0))
& transitive_relstr(boole_POSet(X0))
& reflexive_relstr(boole_POSet(X0))
& strict_rel_str(boole_POSet(X0))
& ~ trivial_carrier(boole_POSet(X0))
& ~ empty_carrier(boole_POSet(X0)) )
| empty(X0) ),
inference(ennf_transformation,[],[f132]) ).
fof(f132,plain,
! [X0] :
( ~ empty(X0)
=> ( complete_relstr(boole_POSet(X0))
& with_infima_relstr(boole_POSet(X0))
& with_suprema_relstr(boole_POSet(X0))
& join_complete_relstr(boole_POSet(X0))
& up_complete_relstr(boole_POSet(X0))
& bounded_relstr(boole_POSet(X0))
& upper_bounded_relstr(boole_POSet(X0))
& lower_bounded_relstr(boole_POSet(X0))
& antisymmetric_relstr(boole_POSet(X0))
& transitive_relstr(boole_POSet(X0))
& reflexive_relstr(boole_POSet(X0))
& strict_rel_str(boole_POSet(X0))
& ~ trivial_carrier(boole_POSet(X0))
& ~ empty_carrier(boole_POSet(X0)) ) ),
inference(pure_predicate_removal,[],[f128]) ).
fof(f128,plain,
! [X0] :
( ~ empty(X0)
=> ( complete_relstr(boole_POSet(X0))
& with_infima_relstr(boole_POSet(X0))
& with_suprema_relstr(boole_POSet(X0))
& ~ v1_yellow_3(boole_POSet(X0))
& join_complete_relstr(boole_POSet(X0))
& up_complete_relstr(boole_POSet(X0))
& bounded_relstr(boole_POSet(X0))
& upper_bounded_relstr(boole_POSet(X0))
& lower_bounded_relstr(boole_POSet(X0))
& antisymmetric_relstr(boole_POSet(X0))
& transitive_relstr(boole_POSet(X0))
& reflexive_relstr(boole_POSet(X0))
& strict_rel_str(boole_POSet(X0))
& ~ trivial_carrier(boole_POSet(X0))
& ~ empty_carrier(boole_POSet(X0)) ) ),
inference(pure_predicate_removal,[],[f126]) ).
fof(f126,plain,
! [X0] :
( ~ empty(X0)
=> ( complete_relstr(boole_POSet(X0))
& with_infima_relstr(boole_POSet(X0))
& with_suprema_relstr(boole_POSet(X0))
& distributive_relstr(boole_POSet(X0))
& ~ v1_yellow_3(boole_POSet(X0))
& join_complete_relstr(boole_POSet(X0))
& up_complete_relstr(boole_POSet(X0))
& bounded_relstr(boole_POSet(X0))
& upper_bounded_relstr(boole_POSet(X0))
& lower_bounded_relstr(boole_POSet(X0))
& antisymmetric_relstr(boole_POSet(X0))
& transitive_relstr(boole_POSet(X0))
& reflexive_relstr(boole_POSet(X0))
& strict_rel_str(boole_POSet(X0))
& ~ trivial_carrier(boole_POSet(X0))
& ~ empty_carrier(boole_POSet(X0)) ) ),
inference(pure_predicate_removal,[],[f122]) ).
fof(f122,plain,
! [X0] :
( ~ empty(X0)
=> ( complete_relstr(boole_POSet(X0))
& with_infima_relstr(boole_POSet(X0))
& with_suprema_relstr(boole_POSet(X0))
& heyting_relstr(boole_POSet(X0))
& distributive_relstr(boole_POSet(X0))
& ~ v1_yellow_3(boole_POSet(X0))
& join_complete_relstr(boole_POSet(X0))
& up_complete_relstr(boole_POSet(X0))
& bounded_relstr(boole_POSet(X0))
& upper_bounded_relstr(boole_POSet(X0))
& lower_bounded_relstr(boole_POSet(X0))
& antisymmetric_relstr(boole_POSet(X0))
& transitive_relstr(boole_POSet(X0))
& reflexive_relstr(boole_POSet(X0))
& strict_rel_str(boole_POSet(X0))
& ~ trivial_carrier(boole_POSet(X0))
& ~ empty_carrier(boole_POSet(X0)) ) ),
inference(pure_predicate_removal,[],[f119]) ).
fof(f119,plain,
! [X0] :
( ~ empty(X0)
=> ( complete_relstr(boole_POSet(X0))
& with_infima_relstr(boole_POSet(X0))
& with_suprema_relstr(boole_POSet(X0))
& complemented_relstr(boole_POSet(X0))
& heyting_relstr(boole_POSet(X0))
& distributive_relstr(boole_POSet(X0))
& ~ v1_yellow_3(boole_POSet(X0))
& join_complete_relstr(boole_POSet(X0))
& up_complete_relstr(boole_POSet(X0))
& bounded_relstr(boole_POSet(X0))
& upper_bounded_relstr(boole_POSet(X0))
& lower_bounded_relstr(boole_POSet(X0))
& antisymmetric_relstr(boole_POSet(X0))
& transitive_relstr(boole_POSet(X0))
& reflexive_relstr(boole_POSet(X0))
& strict_rel_str(boole_POSet(X0))
& ~ trivial_carrier(boole_POSet(X0))
& ~ empty_carrier(boole_POSet(X0)) ) ),
inference(pure_predicate_removal,[],[f51]) ).
fof(f51,axiom,
! [X0] :
( ~ empty(X0)
=> ( complete_relstr(boole_POSet(X0))
& with_infima_relstr(boole_POSet(X0))
& with_suprema_relstr(boole_POSet(X0))
& boolean_relstr(boole_POSet(X0))
& complemented_relstr(boole_POSet(X0))
& heyting_relstr(boole_POSet(X0))
& distributive_relstr(boole_POSet(X0))
& ~ v1_yellow_3(boole_POSet(X0))
& join_complete_relstr(boole_POSet(X0))
& up_complete_relstr(boole_POSet(X0))
& bounded_relstr(boole_POSet(X0))
& upper_bounded_relstr(boole_POSet(X0))
& lower_bounded_relstr(boole_POSet(X0))
& antisymmetric_relstr(boole_POSet(X0))
& transitive_relstr(boole_POSet(X0))
& reflexive_relstr(boole_POSet(X0))
& strict_rel_str(boole_POSet(X0))
& ~ trivial_carrier(boole_POSet(X0))
& ~ empty_carrier(boole_POSet(X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc2_waybel_7) ).
fof(f514,plain,
! [X0] : subset(X0,X0),
inference(cnf_transformation,[],[f103]) ).
fof(f103,plain,
! [X0] : subset(X0,X0),
inference(rectify,[],[f91]) ).
fof(f91,axiom,
! [X0,X1] : subset(X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',reflexivity_r1_tarski) ).
fof(f513,plain,
! [X0] : finite(sK22(X0)),
inference(cnf_transformation,[],[f304]) ).
fof(f512,plain,
! [X0] : ~ empty(sK22(X0)),
inference(cnf_transformation,[],[f304]) ).
fof(f510,plain,
! [X0] : empty(sK21(X0)),
inference(cnf_transformation,[],[f302]) ).
fof(f398,plain,
! [X0] : rel_str(boole_POSet(X0)),
inference(cnf_transformation,[],[f28]) ).
fof(f28,axiom,
! [X0] :
( rel_str(boole_POSet(X0))
& strict_rel_str(boole_POSet(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k3_yellow_1) ).
fof(f372,plain,
! [X0] : complete_relstr(boole_POSet(X0)),
inference(cnf_transformation,[],[f134]) ).
fof(f134,plain,
! [X0] :
( complete_relstr(boole_POSet(X0))
& with_infima_relstr(boole_POSet(X0))
& with_suprema_relstr(boole_POSet(X0))
& join_complete_relstr(boole_POSet(X0))
& up_complete_relstr(boole_POSet(X0))
& bounded_relstr(boole_POSet(X0))
& upper_bounded_relstr(boole_POSet(X0))
& lower_bounded_relstr(boole_POSet(X0))
& antisymmetric_relstr(boole_POSet(X0))
& transitive_relstr(boole_POSet(X0))
& reflexive_relstr(boole_POSet(X0))
& strict_rel_str(boole_POSet(X0))
& ~ empty_carrier(boole_POSet(X0)) ),
inference(pure_predicate_removal,[],[f105]) ).
fof(f105,plain,
! [X0] :
( complete_relstr(boole_POSet(X0))
& with_infima_relstr(boole_POSet(X0))
& with_suprema_relstr(boole_POSet(X0))
& ~ v1_yellow_3(boole_POSet(X0))
& join_complete_relstr(boole_POSet(X0))
& up_complete_relstr(boole_POSet(X0))
& bounded_relstr(boole_POSet(X0))
& upper_bounded_relstr(boole_POSet(X0))
& lower_bounded_relstr(boole_POSet(X0))
& antisymmetric_relstr(boole_POSet(X0))
& transitive_relstr(boole_POSet(X0))
& reflexive_relstr(boole_POSet(X0))
& strict_rel_str(boole_POSet(X0))
& ~ empty_carrier(boole_POSet(X0)) ),
inference(pure_predicate_removal,[],[f60]) ).
fof(f60,axiom,
! [X0] :
( complete_relstr(boole_POSet(X0))
& with_infima_relstr(boole_POSet(X0))
& with_suprema_relstr(boole_POSet(X0))
& ~ v1_yellow_3(boole_POSet(X0))
& join_complete_relstr(boole_POSet(X0))
& up_complete_relstr(boole_POSet(X0))
& directed_relstr(boole_POSet(X0))
& bounded_relstr(boole_POSet(X0))
& upper_bounded_relstr(boole_POSet(X0))
& lower_bounded_relstr(boole_POSet(X0))
& antisymmetric_relstr(boole_POSet(X0))
& transitive_relstr(boole_POSet(X0))
& reflexive_relstr(boole_POSet(X0))
& strict_rel_str(boole_POSet(X0))
& ~ empty_carrier(boole_POSet(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc8_yellow_6) ).
fof(f371,plain,
! [X0] : with_infima_relstr(boole_POSet(X0)),
inference(cnf_transformation,[],[f134]) ).
fof(f370,plain,
! [X0] : with_suprema_relstr(boole_POSet(X0)),
inference(cnf_transformation,[],[f134]) ).
fof(f369,plain,
! [X0] : join_complete_relstr(boole_POSet(X0)),
inference(cnf_transformation,[],[f134]) ).
fof(f368,plain,
! [X0] : up_complete_relstr(boole_POSet(X0)),
inference(cnf_transformation,[],[f134]) ).
fof(f367,plain,
! [X0] : bounded_relstr(boole_POSet(X0)),
inference(cnf_transformation,[],[f134]) ).
fof(f366,plain,
! [X0] : upper_bounded_relstr(boole_POSet(X0)),
inference(cnf_transformation,[],[f134]) ).
fof(f365,plain,
! [X0] : lower_bounded_relstr(boole_POSet(X0)),
inference(cnf_transformation,[],[f134]) ).
fof(f359,plain,
! [X0] : antisymmetric_relstr(boole_POSet(X0)),
inference(cnf_transformation,[],[f58]) ).
fof(f58,axiom,
! [X0] :
( antisymmetric_relstr(boole_POSet(X0))
& transitive_relstr(boole_POSet(X0))
& reflexive_relstr(boole_POSet(X0))
& strict_rel_str(boole_POSet(X0))
& ~ empty_carrier(boole_POSet(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc7_yellow_1) ).
fof(f358,plain,
! [X0] : transitive_relstr(boole_POSet(X0)),
inference(cnf_transformation,[],[f58]) ).
fof(f357,plain,
! [X0] : reflexive_relstr(boole_POSet(X0)),
inference(cnf_transformation,[],[f58]) ).
fof(f356,plain,
! [X0] : strict_rel_str(boole_POSet(X0)),
inference(cnf_transformation,[],[f58]) ).
fof(f355,plain,
! [X0] : ~ empty_carrier(boole_POSet(X0)),
inference(cnf_transformation,[],[f58]) ).
fof(f354,plain,
! [X0] : ~ empty(powerset(X0)),
inference(cnf_transformation,[],[f47]) ).
fof(f47,axiom,
! [X0] : ~ empty(powerset(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc1_subset_1) ).
fof(f348,plain,
net_str(sK5,sK4),
inference(cnf_transformation,[],[f268]) ).
fof(f620,plain,
bounded_relstr(sK40),
inference(cnf_transformation,[],[f344]) ).
fof(f344,plain,
( bounded_relstr(sK40)
& upper_bounded_relstr(sK40)
& lower_bounded_relstr(sK40)
& complete_relstr(sK40)
& with_infima_relstr(sK40)
& with_suprema_relstr(sK40)
& antisymmetric_relstr(sK40)
& transitive_relstr(sK40)
& reflexive_relstr(sK40)
& ~ empty_carrier(sK40)
& rel_str(sK40) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK40])],[f79,f343]) ).
fof(f343,plain,
( ? [X0] :
( bounded_relstr(X0)
& upper_bounded_relstr(X0)
& lower_bounded_relstr(X0)
& complete_relstr(X0)
& with_infima_relstr(X0)
& with_suprema_relstr(X0)
& antisymmetric_relstr(X0)
& transitive_relstr(X0)
& reflexive_relstr(X0)
& ~ empty_carrier(X0)
& rel_str(X0) )
=> ( bounded_relstr(sK40)
& upper_bounded_relstr(sK40)
& lower_bounded_relstr(sK40)
& complete_relstr(sK40)
& with_infima_relstr(sK40)
& with_suprema_relstr(sK40)
& antisymmetric_relstr(sK40)
& transitive_relstr(sK40)
& reflexive_relstr(sK40)
& ~ empty_carrier(sK40)
& rel_str(sK40) ) ),
introduced(choice_axiom,[]) ).
fof(f79,axiom,
? [X0] :
( bounded_relstr(X0)
& upper_bounded_relstr(X0)
& lower_bounded_relstr(X0)
& complete_relstr(X0)
& with_infima_relstr(X0)
& with_suprema_relstr(X0)
& antisymmetric_relstr(X0)
& transitive_relstr(X0)
& reflexive_relstr(X0)
& ~ empty_carrier(X0)
& rel_str(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc2_yellow_0) ).
fof(f619,plain,
upper_bounded_relstr(sK40),
inference(cnf_transformation,[],[f344]) ).
fof(f618,plain,
lower_bounded_relstr(sK40),
inference(cnf_transformation,[],[f344]) ).
fof(f617,plain,
complete_relstr(sK40),
inference(cnf_transformation,[],[f344]) ).
fof(f616,plain,
with_infima_relstr(sK40),
inference(cnf_transformation,[],[f344]) ).
fof(f615,plain,
with_suprema_relstr(sK40),
inference(cnf_transformation,[],[f344]) ).
fof(f614,plain,
antisymmetric_relstr(sK40),
inference(cnf_transformation,[],[f344]) ).
fof(f613,plain,
transitive_relstr(sK40),
inference(cnf_transformation,[],[f344]) ).
fof(f612,plain,
reflexive_relstr(sK40),
inference(cnf_transformation,[],[f344]) ).
fof(f611,plain,
~ empty_carrier(sK40),
inference(cnf_transformation,[],[f344]) ).
fof(f610,plain,
rel_str(sK40),
inference(cnf_transformation,[],[f344]) ).
fof(f609,plain,
antisymmetric_relstr(sK39),
inference(cnf_transformation,[],[f342]) ).
fof(f342,plain,
( antisymmetric_relstr(sK39)
& transitive_relstr(sK39)
& reflexive_relstr(sK39)
& ~ empty_carrier(sK39)
& rel_str(sK39) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK39])],[f147,f341]) ).
fof(f341,plain,
( ? [X0] :
( antisymmetric_relstr(X0)
& transitive_relstr(X0)
& reflexive_relstr(X0)
& ~ empty_carrier(X0)
& rel_str(X0) )
=> ( antisymmetric_relstr(sK39)
& transitive_relstr(sK39)
& reflexive_relstr(sK39)
& ~ empty_carrier(sK39)
& rel_str(sK39) ) ),
introduced(choice_axiom,[]) ).
fof(f147,plain,
? [X0] :
( antisymmetric_relstr(X0)
& transitive_relstr(X0)
& reflexive_relstr(X0)
& ~ empty_carrier(X0)
& rel_str(X0) ),
inference(pure_predicate_removal,[],[f65]) ).
fof(f65,axiom,
? [X0] :
( connected_relstr(X0)
& antisymmetric_relstr(X0)
& transitive_relstr(X0)
& reflexive_relstr(X0)
& ~ empty_carrier(X0)
& rel_str(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc12_waybel_0) ).
fof(f608,plain,
transitive_relstr(sK39),
inference(cnf_transformation,[],[f342]) ).
fof(f607,plain,
reflexive_relstr(sK39),
inference(cnf_transformation,[],[f342]) ).
fof(f606,plain,
~ empty_carrier(sK39),
inference(cnf_transformation,[],[f342]) ).
fof(f605,plain,
rel_str(sK39),
inference(cnf_transformation,[],[f342]) ).
fof(f604,plain,
join_complete_relstr(sK38),
inference(cnf_transformation,[],[f340]) ).
fof(f340,plain,
( join_complete_relstr(sK38)
& up_complete_relstr(sK38)
& bounded_relstr(sK38)
& upper_bounded_relstr(sK38)
& lower_bounded_relstr(sK38)
& complete_relstr(sK38)
& with_infima_relstr(sK38)
& with_suprema_relstr(sK38)
& antisymmetric_relstr(sK38)
& transitive_relstr(sK38)
& reflexive_relstr(sK38)
& strict_rel_str(sK38)
& ~ empty_carrier(sK38)
& rel_str(sK38) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK38])],[f66,f339]) ).
fof(f339,plain,
( ? [X0] :
( join_complete_relstr(X0)
& up_complete_relstr(X0)
& bounded_relstr(X0)
& upper_bounded_relstr(X0)
& lower_bounded_relstr(X0)
& complete_relstr(X0)
& with_infima_relstr(X0)
& with_suprema_relstr(X0)
& antisymmetric_relstr(X0)
& transitive_relstr(X0)
& reflexive_relstr(X0)
& strict_rel_str(X0)
& ~ empty_carrier(X0)
& rel_str(X0) )
=> ( join_complete_relstr(sK38)
& up_complete_relstr(sK38)
& bounded_relstr(sK38)
& upper_bounded_relstr(sK38)
& lower_bounded_relstr(sK38)
& complete_relstr(sK38)
& with_infima_relstr(sK38)
& with_suprema_relstr(sK38)
& antisymmetric_relstr(sK38)
& transitive_relstr(sK38)
& reflexive_relstr(sK38)
& strict_rel_str(sK38)
& ~ empty_carrier(sK38)
& rel_str(sK38) ) ),
introduced(choice_axiom,[]) ).
fof(f66,axiom,
? [X0] :
( join_complete_relstr(X0)
& up_complete_relstr(X0)
& bounded_relstr(X0)
& upper_bounded_relstr(X0)
& lower_bounded_relstr(X0)
& complete_relstr(X0)
& with_infima_relstr(X0)
& with_suprema_relstr(X0)
& antisymmetric_relstr(X0)
& transitive_relstr(X0)
& reflexive_relstr(X0)
& strict_rel_str(X0)
& ~ empty_carrier(X0)
& rel_str(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc13_waybel_0) ).
fof(f603,plain,
up_complete_relstr(sK38),
inference(cnf_transformation,[],[f340]) ).
fof(f602,plain,
bounded_relstr(sK38),
inference(cnf_transformation,[],[f340]) ).
fof(f601,plain,
upper_bounded_relstr(sK38),
inference(cnf_transformation,[],[f340]) ).
fof(f600,plain,
lower_bounded_relstr(sK38),
inference(cnf_transformation,[],[f340]) ).
fof(f599,plain,
complete_relstr(sK38),
inference(cnf_transformation,[],[f340]) ).
fof(f598,plain,
with_infima_relstr(sK38),
inference(cnf_transformation,[],[f340]) ).
fof(f597,plain,
with_suprema_relstr(sK38),
inference(cnf_transformation,[],[f340]) ).
fof(f596,plain,
antisymmetric_relstr(sK38),
inference(cnf_transformation,[],[f340]) ).
fof(f595,plain,
transitive_relstr(sK38),
inference(cnf_transformation,[],[f340]) ).
fof(f594,plain,
reflexive_relstr(sK38),
inference(cnf_transformation,[],[f340]) ).
fof(f593,plain,
strict_rel_str(sK38),
inference(cnf_transformation,[],[f340]) ).
fof(f592,plain,
~ empty_carrier(sK38),
inference(cnf_transformation,[],[f340]) ).
fof(f591,plain,
rel_str(sK38),
inference(cnf_transformation,[],[f340]) ).
fof(f590,plain,
trivial_carrier(sK37),
inference(cnf_transformation,[],[f338]) ).
fof(f338,plain,
( trivial_carrier(sK37)
& complete_relstr(sK37)
& with_infima_relstr(sK37)
& with_suprema_relstr(sK37)
& antisymmetric_relstr(sK37)
& transitive_relstr(sK37)
& reflexive_relstr(sK37)
& strict_rel_str(sK37)
& ~ empty_carrier(sK37)
& rel_str(sK37) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK37])],[f73,f337]) ).
fof(f337,plain,
( ? [X0] :
( trivial_carrier(X0)
& complete_relstr(X0)
& with_infima_relstr(X0)
& with_suprema_relstr(X0)
& antisymmetric_relstr(X0)
& transitive_relstr(X0)
& reflexive_relstr(X0)
& strict_rel_str(X0)
& ~ empty_carrier(X0)
& rel_str(X0) )
=> ( trivial_carrier(sK37)
& complete_relstr(sK37)
& with_infima_relstr(sK37)
& with_suprema_relstr(sK37)
& antisymmetric_relstr(sK37)
& transitive_relstr(sK37)
& reflexive_relstr(sK37)
& strict_rel_str(sK37)
& ~ empty_carrier(sK37)
& rel_str(sK37) ) ),
introduced(choice_axiom,[]) ).
fof(f73,axiom,
? [X0] :
( trivial_carrier(X0)
& complete_relstr(X0)
& with_infima_relstr(X0)
& with_suprema_relstr(X0)
& antisymmetric_relstr(X0)
& transitive_relstr(X0)
& reflexive_relstr(X0)
& strict_rel_str(X0)
& ~ empty_carrier(X0)
& rel_str(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc1_yellow_0) ).
fof(f589,plain,
complete_relstr(sK37),
inference(cnf_transformation,[],[f338]) ).
fof(f588,plain,
with_infima_relstr(sK37),
inference(cnf_transformation,[],[f338]) ).
fof(f587,plain,
with_suprema_relstr(sK37),
inference(cnf_transformation,[],[f338]) ).
fof(f586,plain,
antisymmetric_relstr(sK37),
inference(cnf_transformation,[],[f338]) ).
fof(f585,plain,
transitive_relstr(sK37),
inference(cnf_transformation,[],[f338]) ).
fof(f584,plain,
reflexive_relstr(sK37),
inference(cnf_transformation,[],[f338]) ).
fof(f583,plain,
strict_rel_str(sK37),
inference(cnf_transformation,[],[f338]) ).
fof(f582,plain,
~ empty_carrier(sK37),
inference(cnf_transformation,[],[f338]) ).
fof(f581,plain,
rel_str(sK37),
inference(cnf_transformation,[],[f338]) ).
fof(f580,plain,
complete_relstr(sK36),
inference(cnf_transformation,[],[f336]) ).
fof(f336,plain,
( complete_relstr(sK36)
& with_infima_relstr(sK36)
& with_suprema_relstr(sK36)
& antisymmetric_relstr(sK36)
& transitive_relstr(sK36)
& reflexive_relstr(sK36)
& strict_rel_str(sK36)
& ~ empty_carrier(sK36)
& rel_str(sK36) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK36])],[f74,f335]) ).
fof(f335,plain,
( ? [X0] :
( complete_relstr(X0)
& with_infima_relstr(X0)
& with_suprema_relstr(X0)
& antisymmetric_relstr(X0)
& transitive_relstr(X0)
& reflexive_relstr(X0)
& strict_rel_str(X0)
& ~ empty_carrier(X0)
& rel_str(X0) )
=> ( complete_relstr(sK36)
& with_infima_relstr(sK36)
& with_suprema_relstr(sK36)
& antisymmetric_relstr(sK36)
& transitive_relstr(sK36)
& reflexive_relstr(sK36)
& strict_rel_str(sK36)
& ~ empty_carrier(sK36)
& rel_str(sK36) ) ),
introduced(choice_axiom,[]) ).
fof(f74,axiom,
? [X0] :
( complete_relstr(X0)
& with_infima_relstr(X0)
& with_suprema_relstr(X0)
& antisymmetric_relstr(X0)
& transitive_relstr(X0)
& reflexive_relstr(X0)
& strict_rel_str(X0)
& ~ empty_carrier(X0)
& rel_str(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc2_lattice3) ).
fof(f579,plain,
with_infima_relstr(sK36),
inference(cnf_transformation,[],[f336]) ).
fof(f578,plain,
with_suprema_relstr(sK36),
inference(cnf_transformation,[],[f336]) ).
fof(f577,plain,
antisymmetric_relstr(sK36),
inference(cnf_transformation,[],[f336]) ).
fof(f576,plain,
transitive_relstr(sK36),
inference(cnf_transformation,[],[f336]) ).
fof(f575,plain,
reflexive_relstr(sK36),
inference(cnf_transformation,[],[f336]) ).
fof(f574,plain,
strict_rel_str(sK36),
inference(cnf_transformation,[],[f336]) ).
fof(f573,plain,
~ empty_carrier(sK36),
inference(cnf_transformation,[],[f336]) ).
fof(f572,plain,
rel_str(sK36),
inference(cnf_transformation,[],[f336]) ).
fof(f571,plain,
complete_relstr(sK35),
inference(cnf_transformation,[],[f334]) ).
fof(f334,plain,
( complete_relstr(sK35)
& antisymmetric_relstr(sK35)
& transitive_relstr(sK35)
& reflexive_relstr(sK35)
& strict_rel_str(sK35)
& ~ empty_carrier(sK35)
& rel_str(sK35) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK35])],[f68,f333]) ).
fof(f333,plain,
( ? [X0] :
( complete_relstr(X0)
& antisymmetric_relstr(X0)
& transitive_relstr(X0)
& reflexive_relstr(X0)
& strict_rel_str(X0)
& ~ empty_carrier(X0)
& rel_str(X0) )
=> ( complete_relstr(sK35)
& antisymmetric_relstr(sK35)
& transitive_relstr(sK35)
& reflexive_relstr(sK35)
& strict_rel_str(sK35)
& ~ empty_carrier(sK35)
& rel_str(sK35) ) ),
introduced(choice_axiom,[]) ).
fof(f68,axiom,
? [X0] :
( complete_relstr(X0)
& antisymmetric_relstr(X0)
& transitive_relstr(X0)
& reflexive_relstr(X0)
& strict_rel_str(X0)
& ~ empty_carrier(X0)
& rel_str(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc1_lattice3) ).
fof(f570,plain,
antisymmetric_relstr(sK35),
inference(cnf_transformation,[],[f334]) ).
fof(f569,plain,
transitive_relstr(sK35),
inference(cnf_transformation,[],[f334]) ).
fof(f568,plain,
reflexive_relstr(sK35),
inference(cnf_transformation,[],[f334]) ).
fof(f567,plain,
strict_rel_str(sK35),
inference(cnf_transformation,[],[f334]) ).
fof(f566,plain,
~ empty_carrier(sK35),
inference(cnf_transformation,[],[f334]) ).
fof(f565,plain,
rel_str(sK35),
inference(cnf_transformation,[],[f334]) ).
fof(f564,plain,
transitive_relstr(sK34),
inference(cnf_transformation,[],[f332]) ).
fof(f332,plain,
( transitive_relstr(sK34)
& strict_rel_str(sK34)
& ~ empty_carrier(sK34)
& rel_str(sK34) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK34])],[f106,f331]) ).
fof(f331,plain,
( ? [X0] :
( transitive_relstr(X0)
& strict_rel_str(X0)
& ~ empty_carrier(X0)
& rel_str(X0) )
=> ( transitive_relstr(sK34)
& strict_rel_str(sK34)
& ~ empty_carrier(sK34)
& rel_str(sK34) ) ),
introduced(choice_axiom,[]) ).
fof(f106,plain,
? [X0] :
( transitive_relstr(X0)
& strict_rel_str(X0)
& ~ empty_carrier(X0)
& rel_str(X0) ),
inference(pure_predicate_removal,[],[f85]) ).
fof(f85,axiom,
? [X0] :
( directed_relstr(X0)
& transitive_relstr(X0)
& strict_rel_str(X0)
& ~ empty_carrier(X0)
& rel_str(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc4_yellow_6) ).
fof(f563,plain,
strict_rel_str(sK34),
inference(cnf_transformation,[],[f332]) ).
fof(f562,plain,
~ empty_carrier(sK34),
inference(cnf_transformation,[],[f332]) ).
fof(f561,plain,
rel_str(sK34),
inference(cnf_transformation,[],[f332]) ).
fof(f560,plain,
with_infima_relstr(sK33),
inference(cnf_transformation,[],[f330]) ).
fof(f330,plain,
( with_infima_relstr(sK33)
& with_suprema_relstr(sK33)
& bounded_relstr(sK33)
& upper_bounded_relstr(sK33)
& lower_bounded_relstr(sK33)
& antisymmetric_relstr(sK33)
& transitive_relstr(sK33)
& reflexive_relstr(sK33)
& strict_rel_str(sK33)
& ~ trivial_carrier(sK33)
& ~ empty_carrier(sK33)
& rel_str(sK33) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK33])],[f133,f329]) ).
fof(f329,plain,
( ? [X0] :
( with_infima_relstr(X0)
& with_suprema_relstr(X0)
& bounded_relstr(X0)
& upper_bounded_relstr(X0)
& lower_bounded_relstr(X0)
& antisymmetric_relstr(X0)
& transitive_relstr(X0)
& reflexive_relstr(X0)
& strict_rel_str(X0)
& ~ trivial_carrier(X0)
& ~ empty_carrier(X0)
& rel_str(X0) )
=> ( with_infima_relstr(sK33)
& with_suprema_relstr(sK33)
& bounded_relstr(sK33)
& upper_bounded_relstr(sK33)
& lower_bounded_relstr(sK33)
& antisymmetric_relstr(sK33)
& transitive_relstr(sK33)
& reflexive_relstr(sK33)
& strict_rel_str(sK33)
& ~ trivial_carrier(sK33)
& ~ empty_carrier(sK33)
& rel_str(sK33) ) ),
introduced(choice_axiom,[]) ).
fof(f133,plain,
? [X0] :
( with_infima_relstr(X0)
& with_suprema_relstr(X0)
& bounded_relstr(X0)
& upper_bounded_relstr(X0)
& lower_bounded_relstr(X0)
& antisymmetric_relstr(X0)
& transitive_relstr(X0)
& reflexive_relstr(X0)
& strict_rel_str(X0)
& ~ trivial_carrier(X0)
& ~ empty_carrier(X0)
& rel_str(X0) ),
inference(pure_predicate_removal,[],[f129]) ).
fof(f129,plain,
? [X0] :
( with_infima_relstr(X0)
& with_suprema_relstr(X0)
& ~ v1_yellow_3(X0)
& bounded_relstr(X0)
& upper_bounded_relstr(X0)
& lower_bounded_relstr(X0)
& antisymmetric_relstr(X0)
& transitive_relstr(X0)
& reflexive_relstr(X0)
& strict_rel_str(X0)
& ~ trivial_carrier(X0)
& ~ empty_carrier(X0)
& rel_str(X0) ),
inference(pure_predicate_removal,[],[f127]) ).
fof(f127,plain,
? [X0] :
( with_infima_relstr(X0)
& with_suprema_relstr(X0)
& distributive_relstr(X0)
& ~ v1_yellow_3(X0)
& bounded_relstr(X0)
& upper_bounded_relstr(X0)
& lower_bounded_relstr(X0)
& antisymmetric_relstr(X0)
& transitive_relstr(X0)
& reflexive_relstr(X0)
& strict_rel_str(X0)
& ~ trivial_carrier(X0)
& ~ empty_carrier(X0)
& rel_str(X0) ),
inference(pure_predicate_removal,[],[f123]) ).
fof(f123,plain,
? [X0] :
( with_infima_relstr(X0)
& with_suprema_relstr(X0)
& heyting_relstr(X0)
& distributive_relstr(X0)
& ~ v1_yellow_3(X0)
& bounded_relstr(X0)
& upper_bounded_relstr(X0)
& lower_bounded_relstr(X0)
& antisymmetric_relstr(X0)
& transitive_relstr(X0)
& reflexive_relstr(X0)
& strict_rel_str(X0)
& ~ trivial_carrier(X0)
& ~ empty_carrier(X0)
& rel_str(X0) ),
inference(pure_predicate_removal,[],[f120]) ).
fof(f120,plain,
? [X0] :
( with_infima_relstr(X0)
& with_suprema_relstr(X0)
& complemented_relstr(X0)
& heyting_relstr(X0)
& distributive_relstr(X0)
& ~ v1_yellow_3(X0)
& bounded_relstr(X0)
& upper_bounded_relstr(X0)
& lower_bounded_relstr(X0)
& antisymmetric_relstr(X0)
& transitive_relstr(X0)
& reflexive_relstr(X0)
& strict_rel_str(X0)
& ~ trivial_carrier(X0)
& ~ empty_carrier(X0)
& rel_str(X0) ),
inference(pure_predicate_removal,[],[f72]) ).
fof(f72,axiom,
? [X0] :
( with_infima_relstr(X0)
& with_suprema_relstr(X0)
& boolean_relstr(X0)
& complemented_relstr(X0)
& heyting_relstr(X0)
& distributive_relstr(X0)
& ~ v1_yellow_3(X0)
& bounded_relstr(X0)
& upper_bounded_relstr(X0)
& lower_bounded_relstr(X0)
& antisymmetric_relstr(X0)
& transitive_relstr(X0)
& reflexive_relstr(X0)
& strict_rel_str(X0)
& ~ trivial_carrier(X0)
& ~ empty_carrier(X0)
& rel_str(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc1_waybel_7) ).
fof(f559,plain,
with_suprema_relstr(sK33),
inference(cnf_transformation,[],[f330]) ).
fof(f558,plain,
bounded_relstr(sK33),
inference(cnf_transformation,[],[f330]) ).
fof(f557,plain,
upper_bounded_relstr(sK33),
inference(cnf_transformation,[],[f330]) ).
fof(f556,plain,
lower_bounded_relstr(sK33),
inference(cnf_transformation,[],[f330]) ).
fof(f555,plain,
antisymmetric_relstr(sK33),
inference(cnf_transformation,[],[f330]) ).
fof(f554,plain,
transitive_relstr(sK33),
inference(cnf_transformation,[],[f330]) ).
fof(f553,plain,
reflexive_relstr(sK33),
inference(cnf_transformation,[],[f330]) ).
fof(f552,plain,
strict_rel_str(sK33),
inference(cnf_transformation,[],[f330]) ).
fof(f551,plain,
~ trivial_carrier(sK33),
inference(cnf_transformation,[],[f330]) ).
fof(f550,plain,
~ empty_carrier(sK33),
inference(cnf_transformation,[],[f330]) ).
fof(f549,plain,
rel_str(sK33),
inference(cnf_transformation,[],[f330]) ).
fof(f548,plain,
empty(sK32),
inference(cnf_transformation,[],[f328]) ).
fof(f328,plain,
empty(sK32),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK32])],[f153,f327]) ).
fof(f327,plain,
( ? [X0] : empty(X0)
=> empty(sK32) ),
introduced(choice_axiom,[]) ).
fof(f153,plain,
? [X0] : empty(X0),
inference(pure_predicate_removal,[],[f69]) ).
fof(f69,axiom,
? [X0] :
( relation(X0)
& empty(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc1_relat_1) ).
fof(f547,plain,
~ empty_carrier(sK31),
inference(cnf_transformation,[],[f326]) ).
fof(f326,plain,
( ~ empty_carrier(sK31)
& one_sorted_str(sK31) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK31])],[f82,f325]) ).
fof(f325,plain,
( ? [X0] :
( ~ empty_carrier(X0)
& one_sorted_str(X0) )
=> ( ~ empty_carrier(sK31)
& one_sorted_str(sK31) ) ),
introduced(choice_axiom,[]) ).
fof(f82,axiom,
? [X0] :
( ~ empty_carrier(X0)
& one_sorted_str(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc3_struct_0) ).
fof(f546,plain,
one_sorted_str(sK31),
inference(cnf_transformation,[],[f326]) ).
fof(f545,plain,
finite(sK30),
inference(cnf_transformation,[],[f324]) ).
fof(f324,plain,
( finite(sK30)
& ~ empty(sK30) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK30])],[f67,f323]) ).
fof(f323,plain,
( ? [X0] :
( finite(X0)
& ~ empty(X0) )
=> ( finite(sK30)
& ~ empty(sK30) ) ),
introduced(choice_axiom,[]) ).
fof(f67,axiom,
? [X0] :
( finite(X0)
& ~ empty(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc1_finset_1) ).
fof(f544,plain,
~ empty(sK30),
inference(cnf_transformation,[],[f324]) ).
fof(f543,plain,
~ empty(sK29),
inference(cnf_transformation,[],[f322]) ).
fof(f322,plain,
~ empty(sK29),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK29])],[f155,f321]) ).
fof(f321,plain,
( ? [X0] : ~ empty(X0)
=> ~ empty(sK29) ),
introduced(choice_axiom,[]) ).
fof(f155,plain,
? [X0] : ~ empty(X0),
inference(pure_predicate_removal,[],[f75]) ).
fof(f75,axiom,
? [X0] :
( relation(X0)
& ~ empty(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc2_relat_1) ).
fof(f542,plain,
rel_str(sK28),
inference(cnf_transformation,[],[f320]) ).
fof(f320,plain,
rel_str(sK28),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK28])],[f37,f319]) ).
fof(f319,plain,
( ? [X0] : rel_str(X0)
=> rel_str(sK28) ),
introduced(choice_axiom,[]) ).
fof(f37,axiom,
? [X0] : rel_str(X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',existence_l1_orders_2) ).
fof(f541,plain,
one_sorted_str(sK27),
inference(cnf_transformation,[],[f318]) ).
fof(f318,plain,
one_sorted_str(sK27),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK27])],[f38,f317]) ).
fof(f317,plain,
( ? [X0] : one_sorted_str(X0)
=> one_sorted_str(sK27) ),
introduced(choice_axiom,[]) ).
fof(f38,axiom,
? [X0] : one_sorted_str(X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',existence_l1_struct_0) ).
fof(f352,plain,
empty(empty_set),
inference(cnf_transformation,[],[f152]) ).
fof(f152,plain,
empty(empty_set),
inference(pure_predicate_removal,[],[f54]) ).
fof(f54,axiom,
( relation(empty_set)
& empty(empty_set) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc4_relat_1) ).
fof(f347,plain,
~ empty_carrier(sK5),
inference(cnf_transformation,[],[f268]) ).
fof(f346,plain,
one_sorted_str(sK4),
inference(cnf_transformation,[],[f268]) ).
fof(f345,plain,
~ empty_carrier(sK4),
inference(cnf_transformation,[],[f268]) ).
fof(f494,plain,
! [X0] :
( ~ empty(cast_as_carrier_subset(X0))
| ~ rel_str(X0)
| empty_carrier(X0) ),
inference(cnf_transformation,[],[f218]) ).
fof(f218,plain,
! [X0] :
( ~ empty(cast_as_carrier_subset(X0))
| ~ rel_str(X0)
| empty_carrier(X0) ),
inference(flattening,[],[f217]) ).
fof(f217,plain,
! [X0] :
( ~ empty(cast_as_carrier_subset(X0))
| ~ rel_str(X0)
| empty_carrier(X0) ),
inference(ennf_transformation,[],[f140]) ).
fof(f140,plain,
! [X0] :
( ( rel_str(X0)
& ~ empty_carrier(X0) )
=> ~ empty(cast_as_carrier_subset(X0)) ),
inference(pure_predicate_removal,[],[f138]) ).
fof(f138,plain,
! [X0] :
( ( rel_str(X0)
& ~ empty_carrier(X0) )
=> ( lower_relstr_subset(cast_as_carrier_subset(X0),X0)
& ~ empty(cast_as_carrier_subset(X0)) ) ),
inference(pure_predicate_removal,[],[f45]) ).
fof(f45,axiom,
! [X0] :
( ( rel_str(X0)
& ~ empty_carrier(X0) )
=> ( upper_relstr_subset(cast_as_carrier_subset(X0),X0)
& lower_relstr_subset(cast_as_carrier_subset(X0),X0)
& ~ empty(cast_as_carrier_subset(X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc15_waybel_0) ).
fof(f492,plain,
! [X0] :
( ~ empty(cast_as_carrier_subset(X0))
| ~ rel_str(X0)
| ~ upper_bounded_relstr(X0)
| empty_carrier(X0) ),
inference(cnf_transformation,[],[f214]) ).
fof(f214,plain,
! [X0] :
( ~ empty(cast_as_carrier_subset(X0))
| ~ rel_str(X0)
| ~ upper_bounded_relstr(X0)
| empty_carrier(X0) ),
inference(flattening,[],[f213]) ).
fof(f213,plain,
! [X0] :
( ~ empty(cast_as_carrier_subset(X0))
| ~ rel_str(X0)
| ~ upper_bounded_relstr(X0)
| empty_carrier(X0) ),
inference(ennf_transformation,[],[f116]) ).
fof(f116,plain,
! [X0] :
( ( rel_str(X0)
& upper_bounded_relstr(X0)
& ~ empty_carrier(X0) )
=> ~ empty(cast_as_carrier_subset(X0)) ),
inference(pure_predicate_removal,[],[f53]) ).
fof(f53,axiom,
! [X0] :
( ( rel_str(X0)
& upper_bounded_relstr(X0)
& ~ empty_carrier(X0) )
=> ( directed_subset(cast_as_carrier_subset(X0),X0)
& ~ empty(cast_as_carrier_subset(X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc3_waybel_0) ).
fof(f491,plain,
! [X0] :
( ~ empty(cast_as_carrier_subset(X0))
| ~ rel_str(X0)
| ~ lower_bounded_relstr(X0)
| empty_carrier(X0) ),
inference(cnf_transformation,[],[f212]) ).
fof(f212,plain,
! [X0] :
( ~ empty(cast_as_carrier_subset(X0))
| ~ rel_str(X0)
| ~ lower_bounded_relstr(X0)
| empty_carrier(X0) ),
inference(flattening,[],[f211]) ).
fof(f211,plain,
! [X0] :
( ~ empty(cast_as_carrier_subset(X0))
| ~ rel_str(X0)
| ~ lower_bounded_relstr(X0)
| empty_carrier(X0) ),
inference(ennf_transformation,[],[f109]) ).
fof(f109,plain,
! [X0] :
( ( rel_str(X0)
& lower_bounded_relstr(X0)
& ~ empty_carrier(X0) )
=> ~ empty(cast_as_carrier_subset(X0)) ),
inference(pure_predicate_removal,[],[f57]) ).
fof(f57,axiom,
! [X0] :
( ( rel_str(X0)
& lower_bounded_relstr(X0)
& ~ empty_carrier(X0) )
=> ( filtered_subset(cast_as_carrier_subset(X0),X0)
& ~ empty(cast_as_carrier_subset(X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc5_waybel_0) ).
fof(f635,plain,
! [X0] :
( ~ empty_carrier(X0)
| ~ with_suprema_relstr(X0)
| ~ rel_str(X0) ),
inference(global_subsumption,[],[f351,f350,f349,f348,f347,f346,f345,f352,f353,f354,f359,f358,f357,f356,f355,f372,f371,f370,f369,f368,f367,f366,f365,f364,f363,f362,f361,f360,f385,f384,f383,f382,f381,f380,f379,f378,f377,f376,f375,f374,f373,f396,f395,f394,f393,f392,f391,f390,f389,f388,f387,f386,f398,f397,f412,f622,f411,f623,f410,f624,f409,f625,f408,f626,f407,f627,f406,f628,f405,f629,f404,f630,f403,f631,f402,f632,f401,f633,f400,f399,f634,f413,f415,f414,f418,f417,f416,f421,f420,f419,f422,f423,f424,f427,f426,f425,f428,f429,f430,f431,f432,f434,f433,f435,f436,f437,f439,f442,f441,f449,f448,f447,f450,f453,f457,f456,f467,f466,f464,f463,f468,f472,f476,f478,f483,f480]) ).
fof(f480,plain,
! [X0] :
( ~ empty_carrier(X0)
| ~ up_complete_relstr(X0)
| ~ with_suprema_relstr(X0)
| ~ reflexive_relstr(X0)
| ~ rel_str(X0) ),
inference(cnf_transformation,[],[f200]) ).
fof(f468,plain,
! [X0] :
( sP2(X0)
| ~ up_complete_relstr(X0)
| ~ lower_bounded_relstr(X0)
| ~ with_suprema_relstr(X0)
| ~ antisymmetric_relstr(X0)
| ~ transitive_relstr(X0)
| ~ reflexive_relstr(X0)
| empty_carrier(X0)
| ~ rel_str(X0) ),
inference(cnf_transformation,[],[f260]) ).
fof(f260,plain,
! [X0] :
( sP2(X0)
| ~ up_complete_relstr(X0)
| ~ lower_bounded_relstr(X0)
| ~ with_suprema_relstr(X0)
| ~ antisymmetric_relstr(X0)
| ~ transitive_relstr(X0)
| ~ reflexive_relstr(X0)
| empty_carrier(X0)
| ~ rel_str(X0) ),
inference(definition_folding,[],[f192,f259]) ).
fof(f192,plain,
! [X0] :
( ( bounded_relstr(X0)
& upper_bounded_relstr(X0)
& lower_bounded_relstr(X0)
& complete_relstr(X0)
& with_infima_relstr(X0)
& with_suprema_relstr(X0)
& antisymmetric_relstr(X0)
& transitive_relstr(X0)
& reflexive_relstr(X0)
& ~ empty_carrier(X0) )
| ~ up_complete_relstr(X0)
| ~ lower_bounded_relstr(X0)
| ~ with_suprema_relstr(X0)
| ~ antisymmetric_relstr(X0)
| ~ transitive_relstr(X0)
| ~ reflexive_relstr(X0)
| empty_carrier(X0)
| ~ rel_str(X0) ),
inference(flattening,[],[f191]) ).
fof(f191,plain,
! [X0] :
( ( bounded_relstr(X0)
& upper_bounded_relstr(X0)
& lower_bounded_relstr(X0)
& complete_relstr(X0)
& with_infima_relstr(X0)
& with_suprema_relstr(X0)
& antisymmetric_relstr(X0)
& transitive_relstr(X0)
& reflexive_relstr(X0)
& ~ empty_carrier(X0) )
| ~ up_complete_relstr(X0)
| ~ lower_bounded_relstr(X0)
| ~ with_suprema_relstr(X0)
| ~ antisymmetric_relstr(X0)
| ~ transitive_relstr(X0)
| ~ reflexive_relstr(X0)
| empty_carrier(X0)
| ~ rel_str(X0) ),
inference(ennf_transformation,[],[f5]) ).
fof(f5,axiom,
! [X0] :
( rel_str(X0)
=> ( ( up_complete_relstr(X0)
& lower_bounded_relstr(X0)
& with_suprema_relstr(X0)
& antisymmetric_relstr(X0)
& transitive_relstr(X0)
& reflexive_relstr(X0)
& ~ empty_carrier(X0) )
=> ( bounded_relstr(X0)
& upper_bounded_relstr(X0)
& lower_bounded_relstr(X0)
& complete_relstr(X0)
& with_infima_relstr(X0)
& with_suprema_relstr(X0)
& antisymmetric_relstr(X0)
& transitive_relstr(X0)
& reflexive_relstr(X0)
& ~ empty_carrier(X0) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc12_waybel_0) ).
fof(f634,plain,
! [X0] : ~ empty_carrier(boole_POSet(X0)),
inference(global_subsumption,[],[f351,f350,f349,f348,f347,f346,f345,f352,f353,f354,f359,f358,f357,f356,f355,f372,f371,f370,f369,f368,f367,f366,f365,f364,f363,f362,f361,f360,f385,f384,f383,f382,f381,f380,f379,f378,f377,f376,f375,f374,f373,f396,f395,f394,f393,f392,f391,f390,f389,f388,f387,f386,f398,f397,f412,f622,f411,f623,f410,f624,f409,f625,f408,f626,f407,f627,f406,f628,f405,f629,f404,f630,f403,f631,f402,f632,f401,f633,f400,f399]) ).
fof(f399,plain,
! [X0] :
( ~ empty_carrier(boole_POSet(X0))
| ~ sP0(X0) ),
inference(cnf_transformation,[],[f269]) ).
fof(f633,plain,
! [X0] : strict_rel_str(boole_POSet(X0)),
inference(global_subsumption,[],[f351,f350,f349,f348,f347,f346,f345,f352,f353,f354,f359,f358,f357,f356,f355,f372,f371,f370,f369,f368,f367,f366,f365,f364,f363,f362,f361,f360,f385,f384,f383,f382,f381,f380,f379,f378,f377,f376,f375,f374,f373,f396,f395,f394,f393,f392,f391,f390,f389,f388,f387,f386,f398,f397,f412,f622,f411,f623,f410,f624,f409,f625,f408,f626,f407,f627,f406,f628,f405,f629,f404,f630,f403,f631,f402,f632,f401]) ).
fof(f401,plain,
! [X0] :
( strict_rel_str(boole_POSet(X0))
| ~ sP0(X0) ),
inference(cnf_transformation,[],[f269]) ).
fof(f632,plain,
! [X0] : reflexive_relstr(boole_POSet(X0)),
inference(global_subsumption,[],[f351,f350,f349,f348,f347,f346,f345,f352,f353,f354,f359,f358,f357,f356,f355,f372,f371,f370,f369,f368,f367,f366,f365,f364,f363,f362,f361,f360,f385,f384,f383,f382,f381,f380,f379,f378,f377,f376,f375,f374,f373,f396,f395,f394,f393,f392,f391,f390,f389,f388,f387,f386,f398,f397,f412,f622,f411,f623,f410,f624,f409,f625,f408,f626,f407,f627,f406,f628,f405,f629,f404,f630,f403,f631,f402]) ).
fof(f402,plain,
! [X0] :
( reflexive_relstr(boole_POSet(X0))
| ~ sP0(X0) ),
inference(cnf_transformation,[],[f269]) ).
fof(f631,plain,
! [X0] : transitive_relstr(boole_POSet(X0)),
inference(global_subsumption,[],[f351,f350,f349,f348,f347,f346,f345,f352,f353,f354,f359,f358,f357,f356,f355,f372,f371,f370,f369,f368,f367,f366,f365,f364,f363,f362,f361,f360,f385,f384,f383,f382,f381,f380,f379,f378,f377,f376,f375,f374,f373,f396,f395,f394,f393,f392,f391,f390,f389,f388,f387,f386,f398,f397,f412,f622,f411,f623,f410,f624,f409,f625,f408,f626,f407,f627,f406,f628,f405,f629,f404,f630,f403]) ).
fof(f403,plain,
! [X0] :
( transitive_relstr(boole_POSet(X0))
| ~ sP0(X0) ),
inference(cnf_transformation,[],[f269]) ).
fof(f630,plain,
! [X0] : antisymmetric_relstr(boole_POSet(X0)),
inference(global_subsumption,[],[f351,f350,f349,f348,f347,f346,f345,f352,f353,f354,f359,f358,f357,f356,f355,f372,f371,f370,f369,f368,f367,f366,f365,f364,f363,f362,f361,f360,f385,f384,f383,f382,f381,f380,f379,f378,f377,f376,f375,f374,f373,f396,f395,f394,f393,f392,f391,f390,f389,f388,f387,f386,f398,f397,f412,f622,f411,f623,f410,f624,f409,f625,f408,f626,f407,f627,f406,f628,f405,f629,f404]) ).
fof(f404,plain,
! [X0] :
( antisymmetric_relstr(boole_POSet(X0))
| ~ sP0(X0) ),
inference(cnf_transformation,[],[f269]) ).
fof(f629,plain,
! [X0] : lower_bounded_relstr(boole_POSet(X0)),
inference(global_subsumption,[],[f351,f350,f349,f348,f347,f346,f345,f352,f353,f354,f359,f358,f357,f356,f355,f372,f371,f370,f369,f368,f367,f366,f365,f364,f363,f362,f361,f360,f385,f384,f383,f382,f381,f380,f379,f378,f377,f376,f375,f374,f373,f396,f395,f394,f393,f392,f391,f390,f389,f388,f387,f386,f398,f397,f412,f622,f411,f623,f410,f624,f409,f625,f408,f626,f407,f627,f406,f628,f405]) ).
fof(f405,plain,
! [X0] :
( lower_bounded_relstr(boole_POSet(X0))
| ~ sP0(X0) ),
inference(cnf_transformation,[],[f269]) ).
fof(f628,plain,
! [X0] : upper_bounded_relstr(boole_POSet(X0)),
inference(global_subsumption,[],[f351,f350,f349,f348,f347,f346,f345,f352,f353,f354,f359,f358,f357,f356,f355,f372,f371,f370,f369,f368,f367,f366,f365,f364,f363,f362,f361,f360,f385,f384,f383,f382,f381,f380,f379,f378,f377,f376,f375,f374,f373,f396,f395,f394,f393,f392,f391,f390,f389,f388,f387,f386,f398,f397,f412,f622,f411,f623,f410,f624,f409,f625,f408,f626,f407,f627,f406]) ).
fof(f406,plain,
! [X0] :
( upper_bounded_relstr(boole_POSet(X0))
| ~ sP0(X0) ),
inference(cnf_transformation,[],[f269]) ).
fof(f627,plain,
! [X0] : bounded_relstr(boole_POSet(X0)),
inference(global_subsumption,[],[f351,f350,f349,f348,f347,f346,f345,f352,f353,f354,f359,f358,f357,f356,f355,f372,f371,f370,f369,f368,f367,f366,f365,f364,f363,f362,f361,f360,f385,f384,f383,f382,f381,f380,f379,f378,f377,f376,f375,f374,f373,f396,f395,f394,f393,f392,f391,f390,f389,f388,f387,f386,f398,f397,f412,f622,f411,f623,f410,f624,f409,f625,f408,f626,f407]) ).
fof(f407,plain,
! [X0] :
( bounded_relstr(boole_POSet(X0))
| ~ sP0(X0) ),
inference(cnf_transformation,[],[f269]) ).
fof(f626,plain,
! [X0] : up_complete_relstr(boole_POSet(X0)),
inference(global_subsumption,[],[f351,f350,f349,f348,f347,f346,f345,f352,f353,f354,f359,f358,f357,f356,f355,f372,f371,f370,f369,f368,f367,f366,f365,f364,f363,f362,f361,f360,f385,f384,f383,f382,f381,f380,f379,f378,f377,f376,f375,f374,f373,f396,f395,f394,f393,f392,f391,f390,f389,f388,f387,f386,f398,f397,f412,f622,f411,f623,f410,f624,f409,f625,f408]) ).
fof(f408,plain,
! [X0] :
( up_complete_relstr(boole_POSet(X0))
| ~ sP0(X0) ),
inference(cnf_transformation,[],[f269]) ).
fof(f625,plain,
! [X0] : join_complete_relstr(boole_POSet(X0)),
inference(global_subsumption,[],[f351,f350,f349,f348,f347,f346,f345,f352,f353,f354,f359,f358,f357,f356,f355,f372,f371,f370,f369,f368,f367,f366,f365,f364,f363,f362,f361,f360,f385,f384,f383,f382,f381,f380,f379,f378,f377,f376,f375,f374,f373,f396,f395,f394,f393,f392,f391,f390,f389,f388,f387,f386,f398,f397,f412,f622,f411,f623,f410,f624,f409]) ).
fof(f409,plain,
! [X0] :
( join_complete_relstr(boole_POSet(X0))
| ~ sP0(X0) ),
inference(cnf_transformation,[],[f269]) ).
fof(f624,plain,
! [X0] : with_suprema_relstr(boole_POSet(X0)),
inference(global_subsumption,[],[f351,f350,f349,f348,f347,f346,f345,f352,f353,f354,f359,f358,f357,f356,f355,f372,f371,f370,f369,f368,f367,f366,f365,f364,f363,f362,f361,f360,f385,f384,f383,f382,f381,f380,f379,f378,f377,f376,f375,f374,f373,f396,f395,f394,f393,f392,f391,f390,f389,f388,f387,f386,f398,f397,f412,f622,f411,f623,f410]) ).
fof(f410,plain,
! [X0] :
( with_suprema_relstr(boole_POSet(X0))
| ~ sP0(X0) ),
inference(cnf_transformation,[],[f269]) ).
fof(f623,plain,
! [X0] : with_infima_relstr(boole_POSet(X0)),
inference(global_subsumption,[],[f351,f350,f349,f348,f347,f346,f345,f352,f353,f354,f359,f358,f357,f356,f355,f372,f371,f370,f369,f368,f367,f366,f365,f364,f363,f362,f361,f360,f385,f384,f383,f382,f381,f380,f379,f378,f377,f376,f375,f374,f373,f396,f395,f394,f393,f392,f391,f390,f389,f388,f387,f386,f398,f397,f412,f622,f411]) ).
fof(f411,plain,
! [X0] :
( with_infima_relstr(boole_POSet(X0))
| ~ sP0(X0) ),
inference(cnf_transformation,[],[f269]) ).
fof(f622,plain,
! [X0] : complete_relstr(boole_POSet(X0)),
inference(global_subsumption,[],[f351,f350,f349,f348,f347,f346,f345,f352,f353,f354,f359,f358,f357,f356,f355,f372,f371,f370,f369,f368,f367,f366,f365,f364,f363,f362,f361,f360,f385,f384,f383,f382,f381,f380,f379,f378,f377,f376,f375,f374,f373,f396,f395,f394,f393,f392,f391,f390,f389,f388,f387,f386,f398,f397,f412]) ).
fof(f412,plain,
! [X0] :
( complete_relstr(boole_POSet(X0))
| ~ sP0(X0) ),
inference(cnf_transformation,[],[f269]) ).
fof(f397,plain,
! [X0] : strict_rel_str(boole_POSet(X0)),
inference(cnf_transformation,[],[f28]) ).
fof(f386,plain,
! [X0] : ~ empty_carrier(boole_POSet(X0)),
inference(cnf_transformation,[],[f59]) ).
fof(f59,axiom,
! [X0] :
( complete_relstr(boole_POSet(X0))
& with_infima_relstr(boole_POSet(X0))
& with_suprema_relstr(boole_POSet(X0))
& bounded_relstr(boole_POSet(X0))
& upper_bounded_relstr(boole_POSet(X0))
& lower_bounded_relstr(boole_POSet(X0))
& antisymmetric_relstr(boole_POSet(X0))
& transitive_relstr(boole_POSet(X0))
& reflexive_relstr(boole_POSet(X0))
& strict_rel_str(boole_POSet(X0))
& ~ empty_carrier(boole_POSet(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc8_yellow_1) ).
fof(f387,plain,
! [X0] : strict_rel_str(boole_POSet(X0)),
inference(cnf_transformation,[],[f59]) ).
fof(f388,plain,
! [X0] : reflexive_relstr(boole_POSet(X0)),
inference(cnf_transformation,[],[f59]) ).
fof(f389,plain,
! [X0] : transitive_relstr(boole_POSet(X0)),
inference(cnf_transformation,[],[f59]) ).
fof(f390,plain,
! [X0] : antisymmetric_relstr(boole_POSet(X0)),
inference(cnf_transformation,[],[f59]) ).
fof(f391,plain,
! [X0] : lower_bounded_relstr(boole_POSet(X0)),
inference(cnf_transformation,[],[f59]) ).
fof(f392,plain,
! [X0] : upper_bounded_relstr(boole_POSet(X0)),
inference(cnf_transformation,[],[f59]) ).
fof(f393,plain,
! [X0] : bounded_relstr(boole_POSet(X0)),
inference(cnf_transformation,[],[f59]) ).
fof(f394,plain,
! [X0] : with_suprema_relstr(boole_POSet(X0)),
inference(cnf_transformation,[],[f59]) ).
fof(f395,plain,
! [X0] : with_infima_relstr(boole_POSet(X0)),
inference(cnf_transformation,[],[f59]) ).
fof(f396,plain,
! [X0] : complete_relstr(boole_POSet(X0)),
inference(cnf_transformation,[],[f59]) ).
fof(f373,plain,
! [X0] : ~ empty_carrier(boole_POSet(X0)),
inference(cnf_transformation,[],[f131]) ).
fof(f131,plain,
! [X0] :
( complete_relstr(boole_POSet(X0))
& with_infima_relstr(boole_POSet(X0))
& with_suprema_relstr(boole_POSet(X0))
& join_complete_relstr(boole_POSet(X0))
& up_complete_relstr(boole_POSet(X0))
& bounded_relstr(boole_POSet(X0))
& upper_bounded_relstr(boole_POSet(X0))
& lower_bounded_relstr(boole_POSet(X0))
& antisymmetric_relstr(boole_POSet(X0))
& transitive_relstr(boole_POSet(X0))
& reflexive_relstr(boole_POSet(X0))
& strict_rel_str(boole_POSet(X0))
& ~ empty_carrier(boole_POSet(X0)) ),
inference(pure_predicate_removal,[],[f130]) ).
fof(f130,plain,
! [X0] :
( complete_relstr(boole_POSet(X0))
& with_infima_relstr(boole_POSet(X0))
& with_suprema_relstr(boole_POSet(X0))
& ~ v1_yellow_3(boole_POSet(X0))
& join_complete_relstr(boole_POSet(X0))
& up_complete_relstr(boole_POSet(X0))
& bounded_relstr(boole_POSet(X0))
& upper_bounded_relstr(boole_POSet(X0))
& lower_bounded_relstr(boole_POSet(X0))
& antisymmetric_relstr(boole_POSet(X0))
& transitive_relstr(boole_POSet(X0))
& reflexive_relstr(boole_POSet(X0))
& strict_rel_str(boole_POSet(X0))
& ~ empty_carrier(boole_POSet(X0)) ),
inference(pure_predicate_removal,[],[f125]) ).
fof(f125,plain,
! [X0] :
( complete_relstr(boole_POSet(X0))
& with_infima_relstr(boole_POSet(X0))
& with_suprema_relstr(boole_POSet(X0))
& distributive_relstr(boole_POSet(X0))
& ~ v1_yellow_3(boole_POSet(X0))
& join_complete_relstr(boole_POSet(X0))
& up_complete_relstr(boole_POSet(X0))
& bounded_relstr(boole_POSet(X0))
& upper_bounded_relstr(boole_POSet(X0))
& lower_bounded_relstr(boole_POSet(X0))
& antisymmetric_relstr(boole_POSet(X0))
& transitive_relstr(boole_POSet(X0))
& reflexive_relstr(boole_POSet(X0))
& strict_rel_str(boole_POSet(X0))
& ~ empty_carrier(boole_POSet(X0)) ),
inference(pure_predicate_removal,[],[f124]) ).
fof(f124,plain,
! [X0] :
( complete_relstr(boole_POSet(X0))
& with_infima_relstr(boole_POSet(X0))
& with_suprema_relstr(boole_POSet(X0))
& heyting_relstr(boole_POSet(X0))
& distributive_relstr(boole_POSet(X0))
& ~ v1_yellow_3(boole_POSet(X0))
& join_complete_relstr(boole_POSet(X0))
& up_complete_relstr(boole_POSet(X0))
& bounded_relstr(boole_POSet(X0))
& upper_bounded_relstr(boole_POSet(X0))
& lower_bounded_relstr(boole_POSet(X0))
& antisymmetric_relstr(boole_POSet(X0))
& transitive_relstr(boole_POSet(X0))
& reflexive_relstr(boole_POSet(X0))
& strict_rel_str(boole_POSet(X0))
& ~ empty_carrier(boole_POSet(X0)) ),
inference(pure_predicate_removal,[],[f121]) ).
fof(f121,plain,
! [X0] :
( complete_relstr(boole_POSet(X0))
& with_infima_relstr(boole_POSet(X0))
& with_suprema_relstr(boole_POSet(X0))
& complemented_relstr(boole_POSet(X0))
& heyting_relstr(boole_POSet(X0))
& distributive_relstr(boole_POSet(X0))
& ~ v1_yellow_3(boole_POSet(X0))
& join_complete_relstr(boole_POSet(X0))
& up_complete_relstr(boole_POSet(X0))
& bounded_relstr(boole_POSet(X0))
& upper_bounded_relstr(boole_POSet(X0))
& lower_bounded_relstr(boole_POSet(X0))
& antisymmetric_relstr(boole_POSet(X0))
& transitive_relstr(boole_POSet(X0))
& reflexive_relstr(boole_POSet(X0))
& strict_rel_str(boole_POSet(X0))
& ~ empty_carrier(boole_POSet(X0)) ),
inference(pure_predicate_removal,[],[f48]) ).
fof(f48,axiom,
! [X0] :
( complete_relstr(boole_POSet(X0))
& with_infima_relstr(boole_POSet(X0))
& with_suprema_relstr(boole_POSet(X0))
& boolean_relstr(boole_POSet(X0))
& complemented_relstr(boole_POSet(X0))
& heyting_relstr(boole_POSet(X0))
& distributive_relstr(boole_POSet(X0))
& ~ v1_yellow_3(boole_POSet(X0))
& join_complete_relstr(boole_POSet(X0))
& up_complete_relstr(boole_POSet(X0))
& bounded_relstr(boole_POSet(X0))
& upper_bounded_relstr(boole_POSet(X0))
& lower_bounded_relstr(boole_POSet(X0))
& antisymmetric_relstr(boole_POSet(X0))
& transitive_relstr(boole_POSet(X0))
& reflexive_relstr(boole_POSet(X0))
& strict_rel_str(boole_POSet(X0))
& ~ empty_carrier(boole_POSet(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc1_waybel_7) ).
fof(f374,plain,
! [X0] : strict_rel_str(boole_POSet(X0)),
inference(cnf_transformation,[],[f131]) ).
fof(f375,plain,
! [X0] : reflexive_relstr(boole_POSet(X0)),
inference(cnf_transformation,[],[f131]) ).
fof(f376,plain,
! [X0] : transitive_relstr(boole_POSet(X0)),
inference(cnf_transformation,[],[f131]) ).
fof(f377,plain,
! [X0] : antisymmetric_relstr(boole_POSet(X0)),
inference(cnf_transformation,[],[f131]) ).
fof(f378,plain,
! [X0] : lower_bounded_relstr(boole_POSet(X0)),
inference(cnf_transformation,[],[f131]) ).
fof(f379,plain,
! [X0] : upper_bounded_relstr(boole_POSet(X0)),
inference(cnf_transformation,[],[f131]) ).
fof(f380,plain,
! [X0] : bounded_relstr(boole_POSet(X0)),
inference(cnf_transformation,[],[f131]) ).
fof(f381,plain,
! [X0] : up_complete_relstr(boole_POSet(X0)),
inference(cnf_transformation,[],[f131]) ).
fof(f382,plain,
! [X0] : join_complete_relstr(boole_POSet(X0)),
inference(cnf_transformation,[],[f131]) ).
fof(f383,plain,
! [X0] : with_suprema_relstr(boole_POSet(X0)),
inference(cnf_transformation,[],[f131]) ).
fof(f384,plain,
! [X0] : with_infima_relstr(boole_POSet(X0)),
inference(cnf_transformation,[],[f131]) ).
fof(f385,plain,
! [X0] : complete_relstr(boole_POSet(X0)),
inference(cnf_transformation,[],[f131]) ).
fof(f360,plain,
! [X0] : ~ empty_carrier(boole_POSet(X0)),
inference(cnf_transformation,[],[f134]) ).
fof(f361,plain,
! [X0] : strict_rel_str(boole_POSet(X0)),
inference(cnf_transformation,[],[f134]) ).
fof(f362,plain,
! [X0] : reflexive_relstr(boole_POSet(X0)),
inference(cnf_transformation,[],[f134]) ).
fof(f363,plain,
! [X0] : transitive_relstr(boole_POSet(X0)),
inference(cnf_transformation,[],[f134]) ).
fof(f364,plain,
! [X0] : antisymmetric_relstr(boole_POSet(X0)),
inference(cnf_transformation,[],[f134]) ).
fof(f353,plain,
empty(empty_set),
inference(cnf_transformation,[],[f154]) ).
fof(f154,plain,
empty(empty_set),
inference(pure_predicate_removal,[],[f146]) ).
fof(f146,plain,
( relation(empty_set)
& empty(empty_set) ),
inference(pure_predicate_removal,[],[f43]) ).
fof(f43,axiom,
( relation_empty_yielding(empty_set)
& relation(empty_set)
& empty(empty_set) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc12_relat_1) ).
fof(f351,plain,
( ~ element(sK6,powerset(the_carrier(sK4)))
| ~ is_eventually_in(sK4,sK5,sK6)
| ~ in(sK6,filter_of_net_str(sK4,sK5)) ),
inference(cnf_transformation,[],[f268]) ).
fof(f668,plain,
( ~ is_eventually_in(sK4,sK5,sK6)
| spl41_2 ),
inference(avatar_component_clause,[],[f667]) ).
fof(f667,plain,
( spl41_2
<=> is_eventually_in(sK4,sK5,sK6) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_2])]) ).
fof(f3115,plain,
~ spl41_1,
inference(avatar_contradiction_clause,[],[f3114]) ).
fof(f3114,plain,
( $false
| ~ spl41_1 ),
inference(global_subsumption,[],[f351,f353,f364,f363,f362,f361,f360,f385,f384,f383,f382,f381,f380,f379,f378,f377,f376,f375,f374,f373,f396,f395,f394,f393,f392,f391,f390,f389,f388,f387,f386,f397,f412,f622,f411,f623,f410,f624,f409,f625,f408,f626,f407,f627,f406,f628,f405,f629,f404,f630,f403,f631,f402,f632,f401,f633,f399,f634,f468,f480,f635,f491,f492,f494,f345,f346,f347,f352,f541,f542,f543,f544,f545,f546,f547,f548,f549,f550,f551,f552,f553,f554,f555,f556,f557,f558,f559,f560,f561,f562,f563,f564,f565,f566,f567,f568,f569,f570,f571,f572,f573,f574,f575,f576,f577,f578,f579,f580,f581,f582,f583,f584,f585,f586,f587,f588,f589,f590,f591,f592,f593,f594,f595,f596,f597,f598,f599,f600,f601,f602,f603,f604,f605,f606,f607,f608,f609,f610,f611,f612,f613,f614,f615,f616,f617,f618,f619,f620,f348,f354,f355,f356,f357,f358,f359,f365,f366,f367,f368,f369,f370,f371,f372,f398,f510,f512,f513,f514,f413,f429,f431,f447,f448,f449,f463,f464,f466,f467,f476,f508,f400,f415,f417,f418,f420,f421,f426,f427,f430,f509,f637,f638,f640,f529,f424,f433,f434,f435,f437,f511,f515,f516,f530,f531,f349,f414,f416,f419,f423,f674,f486,f673,f487,f490,f493,f496,f504,f505,f527,f528,f422,f428,f684,f692,f439,f689,f681,f686,f441,f442,f484,f485,f517,f752,f760,f518,f764,f747,f761,f766,f767,f769,f750,f754,f755,f756,f519,f779,f771,f773,f775,f777,f522,f524,f538,f781,f782,f783,f539,f682,f683,f728,f729,f735,f736,f751,f757,f758,f794,f797,f425,f800,f780,f805,f432,f498,f499,f540,f810,f821,f450,f818,f839,f841,f846,f847,f842,f807,f804,f806,f453,f858,f859,f808,f861,f868,f869,f809,f872,f877,f878,f881,f882,f816,f883,f884,f885,f817,f887,f888,f889,f456,f856,f840,f891,f893,f894,f895,f879,f886,f890,f843,f900,f902,f903,f904,f457,f483,f489,f495,f916,f532,f920,f537,f925,f933,f936,f937,f938,f951,f940,f953,f955,f959,f957,f961,f964,f962,f966,f967,f968,f971,f972,f974,f975,f976,f977,f980,f981,f973,f989,f992,f990,f436,f1007,f1008,f1009,f1011,f1012,f1013,f1014,f1015,f1016,f924,f930,f501,f1031,f1036,f1054,f1055,f1049,f1039,f1040,f1057,f1060,f1058,f1061,f1038,f1064,f1063,f1065,f1066,f1067,f1068,f1069,f503,f1056,f1076,f1059,f1080,f1079,f1081,f1082,f1083,f1084,f1085,f1070,f1087,f1089,f1090,f1091,f1092,f1093,f1094,f1097,f1098,f1088,f1106,f1107,f1108,f472,f1075,f1127,f1128,f1120,f1078,f1111,f1130,f1132,f1133,f1131,f1086,f1136,f1138,f1139,f1140,f1141,f1142,f1143,f1146,f1147,f1137,f1157,f1158,f1159,f497,f1160,f1161,f1165,f1164,f1134,f931,f1169,f1176,f1197,f1198,f1190,f1179,f1180,f1201,f1204,f1202,f525,f1207,f1209,f1210,f1211,f1213,f1214,f1215,f1216,f1217,f1218,f1219,f1220,f1221,f1222,f1223,f1224,f1226,f1227,f1228,f1230,f1231,f1232,f1233,f1234,f1235,f1236,f1237,f1238,f1239,f1240,f1205,f1178,f1277,f1278,f1279,f1280,f1283,f1276,f1284,f1285,f1286,f1287,f1288,f1289,f1290,f1291,f526,f1297,f1170,f1307,f1199,f1315,f1200,f1323,f1203,f1350,f1351,f1352,f1353,f1356,f478,f1357,f1349,f1358,f1359,f1360,f1361,f1362,f1363,f1364,f1365,f1306,f1386,f1387,f1377,f1309,f1314,f1411,f1412,f1402,f1317,f1322,f1436,f1437,f1427,f1325,f500,f1442,f1444,f1446,f1367,f1390,f1473,f1474,f1391,f1392,f502,f1477,f1479,f1481,f1415,f1482,f1483,f1416,f1417,f1440,f1486,f1487,f1441,f1475,f520,f1490,f1491,f1492,f1493,f1494,f1495,f1496,f1497,f1498,f1499,f1500,f1501,f1484,f1488,f932,f1510,f1513,f1514,f1525,f1549,f1550,f1540,f1528,f1529,f1554,f1557,f1555,f521,f1560,f1561,f1562,f1563,f1564,f1565,f1566,f1567,f1568,f1569,f1570,f1571,f1558,f1527,f1574,f1575,f1576,f1577,f1578,f1579,f1580,f1581,f1584,f1573,f1585,f1586,f1587,f1588,f1589,f1590,f1591,f1592,f507,f1515,f1600,f1518,f1608,f1551,f1616,f1552,f1624,f1553,f1632,f488,f1662,f1665,f1556,f1667,f1668,f1669,f1670,f1671,f1672,f1673,f1674,f1677,f1666,f1678,f1679,f1680,f1681,f1682,f1683,f1684,f1685,f1599,f1712,f1713,f1701,f1602,f1607,f1741,f1742,f1730,f1610,f1615,f1770,f1771,f1759,f1618,f1623,f1799,f1800,f1788,f1626,f1631,f1828,f1829,f1817,f1634,f1689,f1835,f1837,f1838,f1690,f1717,f1867,f1868,f1718,f1719,f506,f1871,f1873,f1875,f1746,f1876,f1877,f1747,f1748,f1775,f1880,f1881,f1776,f1777,f1804,f1884,f1885,f1805,f523,f1888,f1889,f1890,f1892,f1806,f1833,f1893,f1894,f1834,f1869,f1878,f1882,f534,f1897,f1898,f1899,f1900,f1901,f1902,f1903,f1904,f1905,f1906,f1907,f1908,f1909,f1910,f1913,f1886,f1895,f1918,f1919,f1920,f1921,f1922,f1923,f1924,f1925,f1926,f1927,f1928,f1929,f1930,f1931,f1932,f1935,f954,f1957,f1958,f1959,f1960,f1961,f1962,f1950,f1953,f1037,f1963,f1964,f1965,f1966,f1967,f1968,f1969,f1970,f1971,f1972,f1973,f1974,f1975,f1976,f1979,f1177,f1981,f1982,f1983,f1984,f1985,f1986,f1987,f1988,f1989,f1990,f1991,f1992,f1993,f1994,f1997,f1526,f1999,f2000,f2001,f2002,f2003,f2004,f2005,f2006,f2007,f2008,f2009,f2010,f2011,f2012,f2015,f1077,f2018,f2019,f2020,f2021,f2022,f2023,f2024,f2025,f2026,f2027,f2028,f2029,f2030,f2033,f2017,f2034,f2035,f2036,f2037,f2038,f2039,f2040,f2041,f535,f533,f2046,f2048,f2050,f1308,f2052,f2053,f2054,f2055,f2056,f2057,f2058,f2059,f2060,f2061,f2062,f2063,f2064,f2067,f2051,f2068,f2069,f2070,f2071,f2072,f2073,f2074,f2075,f621,f2080,f2081,f2082,f2120,f2119,f2085,f2123,f2124,f2125,f2126,f2127,f2118,f2128,f2129,f2130,f2131,f2133,f2098,f2134,f2135,f2136,f2137,f2138,f2139,f2140,f2141,f2142,f2143,f2144,f2145,f2147,f2113,f1316,f2149,f2150,f2151,f2152,f2153,f2154,f2155,f2156,f2157,f2158,f2159,f2160,f2161,f2164,f2148,f2165,f2166,f2167,f2168,f2169,f2170,f2171,f2172,f835,f1324,f2179,f2180,f2181,f2182,f2183,f2184,f2185,f2186,f2187,f2188,f2189,f2190,f2191,f2194,f2178,f2195,f2196,f2197,f2198,f2199,f2200,f2201,f2202,f836,f1601,f2209,f2210,f2211,f2212,f2213,f2214,f2215,f2216,f2217,f2218,f2219,f2220,f2221,f2224,f837,f2208,f2226,f2227,f2228,f2229,f2230,f2231,f2232,f2233,f913,f1609,f2239,f2240,f2241,f2242,f2243,f2244,f2245,f2246,f2247,f2248,f2249,f2250,f2251,f2254,f2238,f2255,f2256,f2257,f2258,f2259,f2260,f2261,f2262,f915,f2269,f1617,f2272,f2273,f2274,f2275,f2276,f2277,f2278,f2279,f2280,f2281,f2282,f2283,f2284,f2287,f2271,f2288,f2289,f2290,f2291,f2292,f2293,f2294,f2295,f917,f1625,f2301,f2302,f2303,f2304,f2305,f2306,f2307,f2308,f2309,f2310,f2311,f2312,f2313,f2316,f2300,f2317,f2318,f2319,f2320,f2321,f2322,f2323,f2324,f919,f2331,f921,f2334,f2335,f2333,f1633,f2337,f2338,f2339,f2340,f2341,f2342,f2343,f2344,f2345,f2346,f2347,f2348,f2349,f2352,f2336,f2353,f2354,f2355,f2356,f2357,f2358,f2359,f2360,f923,f2365,f2367,f2370,f2371,f969,f2372,f2374,f2375,f2376,f2377,f2378,f2379,f2380,f2381,f2382,f2383,f2384,f2385,f2386,f2387,f2388,f2389,f2390,f2391,f2392,f970,f2400,f2402,f2403,f2404,f2405,f2406,f2407,f2408,f2409,f2410,f2411,f2412,f2413,f2414,f2415,f2416,f2417,f2418,f2419,f2420,f1129,f2431,f2432,f2433,f2434,f2430,f1171,f2441,f2442,f2443,f2444,f2440,f926,f2455,f2456,f2462,f2463,f2464,f2465,f2466,f2467,f2468,f2469,f2471,f2472,f2473,f2475,f2476,f2477,f2498,f2499,f2500,f2501,f2502,f2503,f2504,f2505,f2506,f2494,f2497,f2479,f2527,f2528,f2529,f2530,f2531,f2532,f2533,f2534,f2535,f2536,f2537,f2538,f2539,f2540,f2543,f2470,f2545,f2546,f2547,f2548,f2549,f2550,f2551,f2552,f2553,f2554,f2555,f2556,f2557,f2558,f2561,f2474,f2563,f2564,f2565,f2566,f2567,f2568,f2569,f2570,f2571,f2572,f2573,f2574,f2575,f2576,f2579,f2478,f2581,f2582,f2583,f2584,f2585,f2586,f2587,f2588,f2589,f2590,f2591,f2592,f2593,f2594,f2597,f1388,f2605,f2606,f2607,f2608,f2604,f1389,f2615,f2616,f2617,f2618,f2614,f927,f2620,f1413,f2627,f2628,f2629,f2630,f2626,f1414,f2637,f2638,f2639,f2640,f2636,f1438,f2647,f2648,f2649,f2650,f2646,f1439,f2657,f2658,f2659,f2660,f2656,f1516,f2667,f2668,f2669,f2670,f2666,f1517,f2677,f2678,f2679,f2680,f2676,f1519,f2687,f2688,f2689,f2690,f2686,f1520,f2697,f2698,f2699,f2700,f2696,f934,f2728,f1714,f2738,f2739,f2740,f2741,f2737,f1715,f2748,f2749,f2750,f2751,f2747,f1716,f2758,f2759,f2760,f2761,f2757,f1743,f2768,f2769,f2770,f2771,f2767,f1744,f2778,f2779,f2780,f2781,f2777,f1745,f2788,f2789,f2790,f2791,f2787,f935,f2793,f1772,f2800,f2801,f2802,f2803,f2799,f1773,f2810,f2811,f2812,f2813,f2809,f1774,f2820,f2821,f2822,f2823,f2819,f1801,f2830,f2831,f2832,f2833,f2829,f1802,f2840,f2841,f2842,f2843,f2839,f1803,f2850,f2851,f2852,f2853,f2849,f1830,f2860,f2861,f2862,f2863,f2859,f1831,f2870,f2871,f2872,f2873,f2869,f1832,f2880,f2881,f2882,f2883,f2879,f1010,f2886,f2887,f2888,f2889,f1954,f2891,f2892,f2893,f2894,f2895,f2896,f2897,f2898,f2899,f2900,f2901,f2902,f2903,f2906,f2890,f2907,f2908,f2909,f2910,f2911,f2912,f2913,f2914,f2915,f2916,f1208,f2922,f2924,f2925,f2926,f2927,f2928,f2929,f2931,f2932,f2933,f2934,f2935,f2936,f2938,f2939,f2940,f2941,f2942,f2943,f2944,f2945,f2946,f2947,f2948,f2949,f2950,f2951,f2952,f2953,f2954,f2955,f2956,f2957,f2958,f2959,f2960,f2962,f2963,f2964,f1955,f2967,f2968,f2969,f2970,f2971,f2972,f2973,f2974,f2975,f2976,f2977,f2978,f2979,f2980,f2983,f2966,f2984,f2985,f2986,f2987,f2988,f2989,f2990,f2991,f2992,f2993,f1225,f2999,f3001,f3002,f3003,f3004,f3005,f3006,f3008,f3009,f3010,f3011,f3012,f3013,f3015,f3016,f3017,f3018,f3019,f3020,f3021,f3022,f3023,f3024,f3025,f3026,f3027,f3028,f3029,f3030,f3031,f3032,f3033,f3034,f3035,f3036,f3037,f3038,f3040,f3041,f3042,f1956,f3045,f3046,f3047,f3048,f3049,f3050,f3051,f3052,f3053,f3054,f3055,f3056,f3057,f3058,f3061,f3062,f3044,f3063,f3064,f3065,f3066,f3067,f3068,f3069,f3070,f3071,f3072,f350,f665,f3092,f3091,f3090,f3108,f3100,f3113]) ).
fof(f3112,plain,
~ spl41_1,
inference(avatar_contradiction_clause,[],[f3111]) ).
fof(f3111,plain,
( $false
| ~ spl41_1 ),
inference(global_subsumption,[],[f351,f353,f364,f363,f362,f361,f360,f385,f384,f383,f382,f381,f380,f379,f378,f377,f376,f375,f374,f373,f396,f395,f394,f393,f392,f391,f390,f389,f388,f387,f386,f397,f412,f622,f411,f623,f410,f624,f409,f625,f408,f626,f407,f627,f406,f628,f405,f629,f404,f630,f403,f631,f402,f632,f401,f633,f399,f634,f468,f480,f635,f491,f492,f494,f345,f346,f347,f352,f541,f542,f543,f544,f545,f546,f547,f548,f549,f550,f551,f552,f553,f554,f555,f556,f557,f558,f559,f560,f561,f562,f563,f564,f565,f566,f567,f568,f569,f570,f571,f572,f573,f574,f575,f576,f577,f578,f579,f580,f581,f582,f583,f584,f585,f586,f587,f588,f589,f590,f591,f592,f593,f594,f595,f596,f597,f598,f599,f600,f601,f602,f603,f604,f605,f606,f607,f608,f609,f610,f611,f612,f613,f614,f615,f616,f617,f618,f619,f620,f348,f354,f355,f356,f357,f358,f359,f365,f366,f367,f368,f369,f370,f371,f372,f398,f510,f512,f513,f514,f413,f429,f431,f447,f448,f449,f463,f464,f466,f467,f476,f508,f400,f415,f417,f418,f420,f421,f426,f427,f430,f509,f637,f638,f640,f529,f424,f433,f434,f435,f437,f511,f515,f516,f530,f531,f349,f414,f416,f419,f423,f674,f486,f673,f487,f490,f493,f496,f504,f505,f527,f528,f422,f428,f684,f692,f439,f689,f681,f686,f441,f442,f484,f485,f517,f752,f760,f518,f764,f747,f761,f766,f767,f769,f750,f754,f755,f756,f519,f779,f771,f773,f775,f777,f522,f524,f538,f781,f782,f783,f539,f682,f683,f728,f729,f735,f736,f751,f757,f758,f794,f797,f425,f800,f780,f805,f432,f498,f499,f540,f810,f821,f450,f818,f839,f841,f846,f847,f842,f807,f804,f806,f453,f858,f859,f808,f861,f868,f869,f809,f872,f877,f878,f881,f882,f816,f883,f884,f885,f817,f887,f888,f889,f456,f856,f840,f891,f893,f894,f895,f879,f886,f890,f843,f900,f902,f903,f904,f457,f483,f489,f495,f916,f532,f920,f537,f925,f933,f936,f937,f938,f951,f940,f953,f955,f959,f957,f961,f964,f962,f966,f967,f968,f971,f972,f974,f975,f976,f977,f980,f981,f973,f989,f992,f990,f436,f1007,f1008,f1009,f1011,f1012,f1013,f1014,f1015,f1016,f924,f930,f501,f1031,f1036,f1054,f1055,f1049,f1039,f1040,f1057,f1060,f1058,f1061,f1038,f1064,f1063,f1065,f1066,f1067,f1068,f1069,f503,f1056,f1076,f1059,f1080,f1079,f1081,f1082,f1083,f1084,f1085,f1070,f1087,f1089,f1090,f1091,f1092,f1093,f1094,f1097,f1098,f1088,f1106,f1107,f1108,f472,f1075,f1127,f1128,f1120,f1078,f1111,f1130,f1132,f1133,f1131,f1086,f1136,f1138,f1139,f1140,f1141,f1142,f1143,f1146,f1147,f1137,f1157,f1158,f1159,f497,f1160,f1161,f1165,f1164,f1134,f931,f1169,f1176,f1197,f1198,f1190,f1179,f1180,f1201,f1204,f1202,f525,f1207,f1209,f1210,f1211,f1213,f1214,f1215,f1216,f1217,f1218,f1219,f1220,f1221,f1222,f1223,f1224,f1226,f1227,f1228,f1230,f1231,f1232,f1233,f1234,f1235,f1236,f1237,f1238,f1239,f1240,f1205,f1178,f1277,f1278,f1279,f1280,f1283,f1276,f1284,f1285,f1286,f1287,f1288,f1289,f1290,f1291,f526,f1297,f1170,f1307,f1199,f1315,f1200,f1323,f1203,f1350,f1351,f1352,f1353,f1356,f478,f1357,f1349,f1358,f1359,f1360,f1361,f1362,f1363,f1364,f1365,f1306,f1386,f1387,f1377,f1309,f1314,f1411,f1412,f1402,f1317,f1322,f1436,f1437,f1427,f1325,f500,f1442,f1444,f1446,f1367,f1390,f1473,f1474,f1391,f1392,f502,f1477,f1479,f1481,f1415,f1482,f1483,f1416,f1417,f1440,f1486,f1487,f1441,f1475,f520,f1490,f1491,f1492,f1493,f1494,f1495,f1496,f1497,f1498,f1499,f1500,f1501,f1484,f1488,f932,f1510,f1513,f1514,f1525,f1549,f1550,f1540,f1528,f1529,f1554,f1557,f1555,f521,f1560,f1561,f1562,f1563,f1564,f1565,f1566,f1567,f1568,f1569,f1570,f1571,f1558,f1527,f1574,f1575,f1576,f1577,f1578,f1579,f1580,f1581,f1584,f1573,f1585,f1586,f1587,f1588,f1589,f1590,f1591,f1592,f507,f1515,f1600,f1518,f1608,f1551,f1616,f1552,f1624,f1553,f1632,f488,f1662,f1665,f1556,f1667,f1668,f1669,f1670,f1671,f1672,f1673,f1674,f1677,f1666,f1678,f1679,f1680,f1681,f1682,f1683,f1684,f1685,f1599,f1712,f1713,f1701,f1602,f1607,f1741,f1742,f1730,f1610,f1615,f1770,f1771,f1759,f1618,f1623,f1799,f1800,f1788,f1626,f1631,f1828,f1829,f1817,f1634,f1689,f1835,f1837,f1838,f1690,f1717,f1867,f1868,f1718,f1719,f506,f1871,f1873,f1875,f1746,f1876,f1877,f1747,f1748,f1775,f1880,f1881,f1776,f1777,f1804,f1884,f1885,f1805,f523,f1888,f1889,f1890,f1892,f1806,f1833,f1893,f1894,f1834,f1869,f1878,f1882,f534,f1897,f1898,f1899,f1900,f1901,f1902,f1903,f1904,f1905,f1906,f1907,f1908,f1909,f1910,f1913,f1886,f1895,f1918,f1919,f1920,f1921,f1922,f1923,f1924,f1925,f1926,f1927,f1928,f1929,f1930,f1931,f1932,f1935,f954,f1957,f1958,f1959,f1960,f1961,f1962,f1950,f1953,f1037,f1963,f1964,f1965,f1966,f1967,f1968,f1969,f1970,f1971,f1972,f1973,f1974,f1975,f1976,f1979,f1177,f1981,f1982,f1983,f1984,f1985,f1986,f1987,f1988,f1989,f1990,f1991,f1992,f1993,f1994,f1997,f1526,f1999,f2000,f2001,f2002,f2003,f2004,f2005,f2006,f2007,f2008,f2009,f2010,f2011,f2012,f2015,f1077,f2018,f2019,f2020,f2021,f2022,f2023,f2024,f2025,f2026,f2027,f2028,f2029,f2030,f2033,f2017,f2034,f2035,f2036,f2037,f2038,f2039,f2040,f2041,f535,f533,f2046,f2048,f2050,f1308,f2052,f2053,f2054,f2055,f2056,f2057,f2058,f2059,f2060,f2061,f2062,f2063,f2064,f2067,f2051,f2068,f2069,f2070,f2071,f2072,f2073,f2074,f2075,f621,f2080,f2081,f2082,f2120,f2119,f2085,f2123,f2124,f2125,f2126,f2127,f2118,f2128,f2129,f2130,f2131,f2133,f2098,f2134,f2135,f2136,f2137,f2138,f2139,f2140,f2141,f2142,f2143,f2144,f2145,f2147,f2113,f1316,f2149,f2150,f2151,f2152,f2153,f2154,f2155,f2156,f2157,f2158,f2159,f2160,f2161,f2164,f2148,f2165,f2166,f2167,f2168,f2169,f2170,f2171,f2172,f835,f1324,f2179,f2180,f2181,f2182,f2183,f2184,f2185,f2186,f2187,f2188,f2189,f2190,f2191,f2194,f2178,f2195,f2196,f2197,f2198,f2199,f2200,f2201,f2202,f836,f1601,f2209,f2210,f2211,f2212,f2213,f2214,f2215,f2216,f2217,f2218,f2219,f2220,f2221,f2224,f837,f2208,f2226,f2227,f2228,f2229,f2230,f2231,f2232,f2233,f913,f1609,f2239,f2240,f2241,f2242,f2243,f2244,f2245,f2246,f2247,f2248,f2249,f2250,f2251,f2254,f2238,f2255,f2256,f2257,f2258,f2259,f2260,f2261,f2262,f915,f2269,f1617,f2272,f2273,f2274,f2275,f2276,f2277,f2278,f2279,f2280,f2281,f2282,f2283,f2284,f2287,f2271,f2288,f2289,f2290,f2291,f2292,f2293,f2294,f2295,f917,f1625,f2301,f2302,f2303,f2304,f2305,f2306,f2307,f2308,f2309,f2310,f2311,f2312,f2313,f2316,f2300,f2317,f2318,f2319,f2320,f2321,f2322,f2323,f2324,f919,f2331,f921,f2334,f2335,f2333,f1633,f2337,f2338,f2339,f2340,f2341,f2342,f2343,f2344,f2345,f2346,f2347,f2348,f2349,f2352,f2336,f2353,f2354,f2355,f2356,f2357,f2358,f2359,f2360,f923,f2365,f2367,f2370,f2371,f969,f2372,f2374,f2375,f2376,f2377,f2378,f2379,f2380,f2381,f2382,f2383,f2384,f2385,f2386,f2387,f2388,f2389,f2390,f2391,f2392,f970,f2400,f2402,f2403,f2404,f2405,f2406,f2407,f2408,f2409,f2410,f2411,f2412,f2413,f2414,f2415,f2416,f2417,f2418,f2419,f2420,f1129,f2431,f2432,f2433,f2434,f2430,f1171,f2441,f2442,f2443,f2444,f2440,f926,f2455,f2456,f2462,f2463,f2464,f2465,f2466,f2467,f2468,f2469,f2471,f2472,f2473,f2475,f2476,f2477,f2498,f2499,f2500,f2501,f2502,f2503,f2504,f2505,f2506,f2494,f2497,f2479,f2527,f2528,f2529,f2530,f2531,f2532,f2533,f2534,f2535,f2536,f2537,f2538,f2539,f2540,f2543,f2470,f2545,f2546,f2547,f2548,f2549,f2550,f2551,f2552,f2553,f2554,f2555,f2556,f2557,f2558,f2561,f2474,f2563,f2564,f2565,f2566,f2567,f2568,f2569,f2570,f2571,f2572,f2573,f2574,f2575,f2576,f2579,f2478,f2581,f2582,f2583,f2584,f2585,f2586,f2587,f2588,f2589,f2590,f2591,f2592,f2593,f2594,f2597,f1388,f2605,f2606,f2607,f2608,f2604,f1389,f2615,f2616,f2617,f2618,f2614,f927,f2620,f1413,f2627,f2628,f2629,f2630,f2626,f1414,f2637,f2638,f2639,f2640,f2636,f1438,f2647,f2648,f2649,f2650,f2646,f1439,f2657,f2658,f2659,f2660,f2656,f1516,f2667,f2668,f2669,f2670,f2666,f1517,f2677,f2678,f2679,f2680,f2676,f1519,f2687,f2688,f2689,f2690,f2686,f1520,f2697,f2698,f2699,f2700,f2696,f934,f2728,f1714,f2738,f2739,f2740,f2741,f2737,f1715,f2748,f2749,f2750,f2751,f2747,f1716,f2758,f2759,f2760,f2761,f2757,f1743,f2768,f2769,f2770,f2771,f2767,f1744,f2778,f2779,f2780,f2781,f2777,f1745,f2788,f2789,f2790,f2791,f2787,f935,f2793,f1772,f2800,f2801,f2802,f2803,f2799,f1773,f2810,f2811,f2812,f2813,f2809,f1774,f2820,f2821,f2822,f2823,f2819,f1801,f2830,f2831,f2832,f2833,f2829,f1802,f2840,f2841,f2842,f2843,f2839,f1803,f2850,f2851,f2852,f2853,f2849,f1830,f2860,f2861,f2862,f2863,f2859,f1831,f2870,f2871,f2872,f2873,f2869,f1832,f2880,f2881,f2882,f2883,f2879,f1010,f2886,f2887,f2888,f2889,f1954,f2891,f2892,f2893,f2894,f2895,f2896,f2897,f2898,f2899,f2900,f2901,f2902,f2903,f2906,f2890,f2907,f2908,f2909,f2910,f2911,f2912,f2913,f2914,f2915,f2916,f1208,f2922,f2924,f2925,f2926,f2927,f2928,f2929,f2931,f2932,f2933,f2934,f2935,f2936,f2938,f2939,f2940,f2941,f2942,f2943,f2944,f2945,f2946,f2947,f2948,f2949,f2950,f2951,f2952,f2953,f2954,f2955,f2956,f2957,f2958,f2959,f2960,f2962,f2963,f2964,f1955,f2967,f2968,f2969,f2970,f2971,f2972,f2973,f2974,f2975,f2976,f2977,f2978,f2979,f2980,f2983,f2966,f2984,f2985,f2986,f2987,f2988,f2989,f2990,f2991,f2992,f2993,f1225,f2999,f3001,f3002,f3003,f3004,f3005,f3006,f3008,f3009,f3010,f3011,f3012,f3013,f3015,f3016,f3017,f3018,f3019,f3020,f3021,f3022,f3023,f3024,f3025,f3026,f3027,f3028,f3029,f3030,f3031,f3032,f3033,f3034,f3035,f3036,f3037,f3038,f3040,f3041,f3042,f1956,f3045,f3046,f3047,f3048,f3049,f3050,f3051,f3052,f3053,f3054,f3055,f3056,f3057,f3058,f3061,f3062,f3044,f3063,f3064,f3065,f3066,f3067,f3068,f3069,f3070,f3071,f3072,f350,f665,f3092,f3091,f3090,f3108,f3100]) ).
fof(f3110,plain,
~ spl41_1,
inference(avatar_contradiction_clause,[],[f3109]) ).
fof(f3109,plain,
( $false
| ~ spl41_1 ),
inference(global_subsumption,[],[f351,f353,f364,f363,f362,f361,f360,f385,f384,f383,f382,f381,f380,f379,f378,f377,f376,f375,f374,f373,f396,f395,f394,f393,f392,f391,f390,f389,f388,f387,f386,f397,f412,f622,f411,f623,f410,f624,f409,f625,f408,f626,f407,f627,f406,f628,f405,f629,f404,f630,f403,f631,f402,f632,f401,f633,f399,f634,f468,f480,f635,f491,f492,f494,f345,f346,f347,f352,f541,f542,f543,f544,f545,f546,f547,f548,f549,f550,f551,f552,f553,f554,f555,f556,f557,f558,f559,f560,f561,f562,f563,f564,f565,f566,f567,f568,f569,f570,f571,f572,f573,f574,f575,f576,f577,f578,f579,f580,f581,f582,f583,f584,f585,f586,f587,f588,f589,f590,f591,f592,f593,f594,f595,f596,f597,f598,f599,f600,f601,f602,f603,f604,f605,f606,f607,f608,f609,f610,f611,f612,f613,f614,f615,f616,f617,f618,f619,f620,f348,f354,f355,f356,f357,f358,f359,f365,f366,f367,f368,f369,f370,f371,f372,f398,f510,f512,f513,f514,f413,f429,f431,f447,f448,f449,f463,f464,f466,f467,f476,f508,f400,f415,f417,f418,f420,f421,f426,f427,f430,f509,f637,f638,f640,f529,f424,f433,f434,f435,f437,f511,f515,f516,f530,f531,f349,f414,f416,f419,f423,f674,f486,f673,f487,f490,f493,f496,f504,f505,f527,f528,f422,f428,f684,f692,f439,f689,f681,f686,f441,f442,f484,f485,f517,f752,f760,f518,f764,f747,f761,f766,f767,f769,f750,f754,f755,f756,f519,f779,f771,f773,f775,f777,f522,f524,f538,f781,f782,f783,f539,f682,f683,f728,f729,f735,f736,f751,f757,f758,f794,f797,f425,f800,f780,f805,f432,f498,f499,f540,f810,f821,f450,f818,f839,f841,f846,f847,f842,f807,f804,f806,f453,f858,f859,f808,f861,f868,f869,f809,f872,f877,f878,f881,f882,f816,f883,f884,f885,f817,f887,f888,f889,f456,f856,f840,f891,f893,f894,f895,f879,f886,f890,f843,f900,f902,f903,f904,f457,f483,f489,f495,f916,f532,f920,f537,f925,f933,f936,f937,f938,f951,f940,f953,f955,f959,f957,f961,f964,f962,f966,f967,f968,f971,f972,f974,f975,f976,f977,f980,f981,f973,f989,f992,f990,f436,f1007,f1008,f1009,f1011,f1012,f1013,f1014,f1015,f1016,f924,f930,f501,f1031,f1036,f1054,f1055,f1049,f1039,f1040,f1057,f1060,f1058,f1061,f1038,f1064,f1063,f1065,f1066,f1067,f1068,f1069,f503,f1056,f1076,f1059,f1080,f1079,f1081,f1082,f1083,f1084,f1085,f1070,f1087,f1089,f1090,f1091,f1092,f1093,f1094,f1097,f1098,f1088,f1106,f1107,f1108,f472,f1075,f1127,f1128,f1120,f1078,f1111,f1130,f1132,f1133,f1131,f1086,f1136,f1138,f1139,f1140,f1141,f1142,f1143,f1146,f1147,f1137,f1157,f1158,f1159,f497,f1160,f1161,f1165,f1164,f1134,f931,f1169,f1176,f1197,f1198,f1190,f1179,f1180,f1201,f1204,f1202,f525,f1207,f1209,f1210,f1211,f1213,f1214,f1215,f1216,f1217,f1218,f1219,f1220,f1221,f1222,f1223,f1224,f1226,f1227,f1228,f1230,f1231,f1232,f1233,f1234,f1235,f1236,f1237,f1238,f1239,f1240,f1205,f1178,f1277,f1278,f1279,f1280,f1283,f1276,f1284,f1285,f1286,f1287,f1288,f1289,f1290,f1291,f526,f1297,f1170,f1307,f1199,f1315,f1200,f1323,f1203,f1350,f1351,f1352,f1353,f1356,f478,f1357,f1349,f1358,f1359,f1360,f1361,f1362,f1363,f1364,f1365,f1306,f1386,f1387,f1377,f1309,f1314,f1411,f1412,f1402,f1317,f1322,f1436,f1437,f1427,f1325,f500,f1442,f1444,f1446,f1367,f1390,f1473,f1474,f1391,f1392,f502,f1477,f1479,f1481,f1415,f1482,f1483,f1416,f1417,f1440,f1486,f1487,f1441,f1475,f520,f1490,f1491,f1492,f1493,f1494,f1495,f1496,f1497,f1498,f1499,f1500,f1501,f1484,f1488,f932,f1510,f1513,f1514,f1525,f1549,f1550,f1540,f1528,f1529,f1554,f1557,f1555,f521,f1560,f1561,f1562,f1563,f1564,f1565,f1566,f1567,f1568,f1569,f1570,f1571,f1558,f1527,f1574,f1575,f1576,f1577,f1578,f1579,f1580,f1581,f1584,f1573,f1585,f1586,f1587,f1588,f1589,f1590,f1591,f1592,f507,f1515,f1600,f1518,f1608,f1551,f1616,f1552,f1624,f1553,f1632,f488,f1662,f1665,f1556,f1667,f1668,f1669,f1670,f1671,f1672,f1673,f1674,f1677,f1666,f1678,f1679,f1680,f1681,f1682,f1683,f1684,f1685,f1599,f1712,f1713,f1701,f1602,f1607,f1741,f1742,f1730,f1610,f1615,f1770,f1771,f1759,f1618,f1623,f1799,f1800,f1788,f1626,f1631,f1828,f1829,f1817,f1634,f1689,f1835,f1837,f1838,f1690,f1717,f1867,f1868,f1718,f1719,f506,f1871,f1873,f1875,f1746,f1876,f1877,f1747,f1748,f1775,f1880,f1881,f1776,f1777,f1804,f1884,f1885,f1805,f523,f1888,f1889,f1890,f1892,f1806,f1833,f1893,f1894,f1834,f1869,f1878,f1882,f534,f1897,f1898,f1899,f1900,f1901,f1902,f1903,f1904,f1905,f1906,f1907,f1908,f1909,f1910,f1913,f1886,f1895,f1918,f1919,f1920,f1921,f1922,f1923,f1924,f1925,f1926,f1927,f1928,f1929,f1930,f1931,f1932,f1935,f954,f1957,f1958,f1959,f1960,f1961,f1962,f1950,f1953,f1037,f1963,f1964,f1965,f1966,f1967,f1968,f1969,f1970,f1971,f1972,f1973,f1974,f1975,f1976,f1979,f1177,f1981,f1982,f1983,f1984,f1985,f1986,f1987,f1988,f1989,f1990,f1991,f1992,f1993,f1994,f1997,f1526,f1999,f2000,f2001,f2002,f2003,f2004,f2005,f2006,f2007,f2008,f2009,f2010,f2011,f2012,f2015,f1077,f2018,f2019,f2020,f2021,f2022,f2023,f2024,f2025,f2026,f2027,f2028,f2029,f2030,f2033,f2017,f2034,f2035,f2036,f2037,f2038,f2039,f2040,f2041,f535,f533,f2046,f2048,f2050,f1308,f2052,f2053,f2054,f2055,f2056,f2057,f2058,f2059,f2060,f2061,f2062,f2063,f2064,f2067,f2051,f2068,f2069,f2070,f2071,f2072,f2073,f2074,f2075,f621,f2080,f2081,f2082,f2120,f2119,f2085,f2123,f2124,f2125,f2126,f2127,f2118,f2128,f2129,f2130,f2131,f2133,f2098,f2134,f2135,f2136,f2137,f2138,f2139,f2140,f2141,f2142,f2143,f2144,f2145,f2147,f2113,f1316,f2149,f2150,f2151,f2152,f2153,f2154,f2155,f2156,f2157,f2158,f2159,f2160,f2161,f2164,f2148,f2165,f2166,f2167,f2168,f2169,f2170,f2171,f2172,f835,f1324,f2179,f2180,f2181,f2182,f2183,f2184,f2185,f2186,f2187,f2188,f2189,f2190,f2191,f2194,f2178,f2195,f2196,f2197,f2198,f2199,f2200,f2201,f2202,f836,f1601,f2209,f2210,f2211,f2212,f2213,f2214,f2215,f2216,f2217,f2218,f2219,f2220,f2221,f2224,f837,f2208,f2226,f2227,f2228,f2229,f2230,f2231,f2232,f2233,f913,f1609,f2239,f2240,f2241,f2242,f2243,f2244,f2245,f2246,f2247,f2248,f2249,f2250,f2251,f2254,f2238,f2255,f2256,f2257,f2258,f2259,f2260,f2261,f2262,f915,f2269,f1617,f2272,f2273,f2274,f2275,f2276,f2277,f2278,f2279,f2280,f2281,f2282,f2283,f2284,f2287,f2271,f2288,f2289,f2290,f2291,f2292,f2293,f2294,f2295,f917,f1625,f2301,f2302,f2303,f2304,f2305,f2306,f2307,f2308,f2309,f2310,f2311,f2312,f2313,f2316,f2300,f2317,f2318,f2319,f2320,f2321,f2322,f2323,f2324,f919,f2331,f921,f2334,f2335,f2333,f1633,f2337,f2338,f2339,f2340,f2341,f2342,f2343,f2344,f2345,f2346,f2347,f2348,f2349,f2352,f2336,f2353,f2354,f2355,f2356,f2357,f2358,f2359,f2360,f923,f2365,f2367,f2370,f2371,f969,f2372,f2374,f2375,f2376,f2377,f2378,f2379,f2380,f2381,f2382,f2383,f2384,f2385,f2386,f2387,f2388,f2389,f2390,f2391,f2392,f970,f2400,f2402,f2403,f2404,f2405,f2406,f2407,f2408,f2409,f2410,f2411,f2412,f2413,f2414,f2415,f2416,f2417,f2418,f2419,f2420,f1129,f2431,f2432,f2433,f2434,f2430,f1171,f2441,f2442,f2443,f2444,f2440,f926,f2455,f2456,f2462,f2463,f2464,f2465,f2466,f2467,f2468,f2469,f2471,f2472,f2473,f2475,f2476,f2477,f2498,f2499,f2500,f2501,f2502,f2503,f2504,f2505,f2506,f2494,f2497,f2479,f2527,f2528,f2529,f2530,f2531,f2532,f2533,f2534,f2535,f2536,f2537,f2538,f2539,f2540,f2543,f2470,f2545,f2546,f2547,f2548,f2549,f2550,f2551,f2552,f2553,f2554,f2555,f2556,f2557,f2558,f2561,f2474,f2563,f2564,f2565,f2566,f2567,f2568,f2569,f2570,f2571,f2572,f2573,f2574,f2575,f2576,f2579,f2478,f2581,f2582,f2583,f2584,f2585,f2586,f2587,f2588,f2589,f2590,f2591,f2592,f2593,f2594,f2597,f1388,f2605,f2606,f2607,f2608,f2604,f1389,f2615,f2616,f2617,f2618,f2614,f927,f2620,f1413,f2627,f2628,f2629,f2630,f2626,f1414,f2637,f2638,f2639,f2640,f2636,f1438,f2647,f2648,f2649,f2650,f2646,f1439,f2657,f2658,f2659,f2660,f2656,f1516,f2667,f2668,f2669,f2670,f2666,f1517,f2677,f2678,f2679,f2680,f2676,f1519,f2687,f2688,f2689,f2690,f2686,f1520,f2697,f2698,f2699,f2700,f2696,f934,f2728,f1714,f2738,f2739,f2740,f2741,f2737,f1715,f2748,f2749,f2750,f2751,f2747,f1716,f2758,f2759,f2760,f2761,f2757,f1743,f2768,f2769,f2770,f2771,f2767,f1744,f2778,f2779,f2780,f2781,f2777,f1745,f2788,f2789,f2790,f2791,f2787,f935,f2793,f1772,f2800,f2801,f2802,f2803,f2799,f1773,f2810,f2811,f2812,f2813,f2809,f1774,f2820,f2821,f2822,f2823,f2819,f1801,f2830,f2831,f2832,f2833,f2829,f1802,f2840,f2841,f2842,f2843,f2839,f1803,f2850,f2851,f2852,f2853,f2849,f1830,f2860,f2861,f2862,f2863,f2859,f1831,f2870,f2871,f2872,f2873,f2869,f1832,f2880,f2881,f2882,f2883,f2879,f1010,f2886,f2887,f2888,f2889,f1954,f2891,f2892,f2893,f2894,f2895,f2896,f2897,f2898,f2899,f2900,f2901,f2902,f2903,f2906,f2890,f2907,f2908,f2909,f2910,f2911,f2912,f2913,f2914,f2915,f2916,f1208,f2922,f2924,f2925,f2926,f2927,f2928,f2929,f2931,f2932,f2933,f2934,f2935,f2936,f2938,f2939,f2940,f2941,f2942,f2943,f2944,f2945,f2946,f2947,f2948,f2949,f2950,f2951,f2952,f2953,f2954,f2955,f2956,f2957,f2958,f2959,f2960,f2962,f2963,f2964,f1955,f2967,f2968,f2969,f2970,f2971,f2972,f2973,f2974,f2975,f2976,f2977,f2978,f2979,f2980,f2983,f2966,f2984,f2985,f2986,f2987,f2988,f2989,f2990,f2991,f2992,f2993,f1225,f2999,f3001,f3002,f3003,f3004,f3005,f3006,f3008,f3009,f3010,f3011,f3012,f3013,f3015,f3016,f3017,f3018,f3019,f3020,f3021,f3022,f3023,f3024,f3025,f3026,f3027,f3028,f3029,f3030,f3031,f3032,f3033,f3034,f3035,f3036,f3037,f3038,f3040,f3041,f3042,f1956,f3045,f3046,f3047,f3048,f3049,f3050,f3051,f3052,f3053,f3054,f3055,f3056,f3057,f3058,f3061,f3062,f3044,f3063,f3064,f3065,f3066,f3067,f3068,f3069,f3070,f3071,f3072,f350,f665,f3092,f3091,f3090,f3100,f3108]) ).
fof(f3102,plain,
( ~ spl41_1
| ~ spl41_2 ),
inference(avatar_contradiction_clause,[],[f3101]) ).
fof(f3101,plain,
( $false
| ~ spl41_1
| ~ spl41_2 ),
inference(global_subsumption,[],[f351,f353,f364,f363,f362,f361,f360,f385,f384,f383,f382,f381,f380,f379,f378,f377,f376,f375,f374,f373,f396,f395,f394,f393,f392,f391,f390,f389,f388,f387,f386,f397,f412,f622,f411,f623,f410,f624,f409,f625,f408,f626,f407,f627,f406,f628,f405,f629,f404,f630,f403,f631,f402,f632,f401,f633,f399,f634,f468,f480,f635,f491,f492,f494,f345,f346,f347,f352,f541,f542,f543,f544,f545,f546,f547,f548,f549,f550,f551,f552,f553,f554,f555,f556,f557,f558,f559,f560,f561,f562,f563,f564,f565,f566,f567,f568,f569,f570,f571,f572,f573,f574,f575,f576,f577,f578,f579,f580,f581,f582,f583,f584,f585,f586,f587,f588,f589,f590,f591,f592,f593,f594,f595,f596,f597,f598,f599,f600,f601,f602,f603,f604,f605,f606,f607,f608,f609,f610,f611,f612,f613,f614,f615,f616,f617,f618,f619,f620,f348,f354,f355,f356,f357,f358,f359,f365,f366,f367,f368,f369,f370,f371,f372,f398,f510,f512,f513,f514,f413,f429,f431,f447,f448,f449,f463,f464,f466,f467,f476,f508,f400,f415,f417,f418,f420,f421,f426,f427,f430,f509,f637,f638,f640,f529,f424,f433,f434,f435,f437,f511,f515,f516,f530,f531,f349,f669,f414,f416,f419,f423,f674,f486,f673,f487,f490,f493,f496,f504,f505,f527,f528,f422,f428,f684,f692,f439,f689,f681,f686,f441,f442,f484,f485,f517,f752,f760,f518,f764,f747,f761,f766,f767,f769,f750,f754,f755,f756,f519,f779,f771,f773,f775,f777,f522,f524,f538,f781,f782,f783,f539,f682,f683,f728,f729,f735,f736,f751,f757,f758,f794,f797,f425,f800,f780,f805,f432,f498,f499,f540,f810,f821,f450,f818,f839,f841,f846,f847,f842,f807,f804,f806,f453,f858,f859,f808,f861,f868,f869,f809,f872,f877,f878,f881,f882,f816,f883,f884,f885,f817,f887,f888,f889,f456,f856,f840,f891,f893,f894,f895,f879,f886,f890,f843,f900,f902,f903,f904,f457,f483,f489,f495,f916,f532,f920,f537,f925,f933,f936,f937,f938,f951,f940,f953,f955,f959,f957,f961,f964,f962,f966,f967,f968,f971,f972,f974,f975,f976,f977,f980,f981,f973,f989,f992,f990,f436,f1007,f1008,f1009,f1011,f1012,f1013,f1014,f1015,f1016,f924,f930,f501,f1031,f1036,f1054,f1055,f1049,f1039,f1040,f1057,f1060,f1058,f1061,f1038,f1064,f1063,f1065,f1066,f1067,f1068,f1069,f503,f1056,f1076,f1059,f1080,f1079,f1081,f1082,f1083,f1084,f1085,f1070,f1087,f1089,f1090,f1091,f1092,f1093,f1094,f1097,f1098,f1088,f1106,f1107,f1108,f472,f1075,f1127,f1128,f1120,f1078,f1111,f1130,f1132,f1133,f1131,f1086,f1136,f1138,f1139,f1140,f1141,f1142,f1143,f1146,f1147,f1137,f1157,f1158,f1159,f497,f1160,f1161,f1165,f1164,f1134,f931,f1169,f1176,f1197,f1198,f1190,f1179,f1180,f1201,f1204,f1202,f525,f1207,f1209,f1210,f1211,f1213,f1214,f1215,f1216,f1217,f1218,f1219,f1220,f1221,f1222,f1223,f1224,f1226,f1227,f1228,f1230,f1231,f1232,f1233,f1234,f1235,f1236,f1237,f1238,f1239,f1240,f1205,f1178,f1277,f1278,f1279,f1280,f1283,f1276,f1284,f1285,f1286,f1287,f1288,f1289,f1290,f1291,f526,f1297,f1170,f1307,f1199,f1315,f1200,f1323,f1203,f1350,f1351,f1352,f1353,f1356,f478,f1357,f1349,f1358,f1359,f1360,f1361,f1362,f1363,f1364,f1365,f1306,f1386,f1387,f1377,f1309,f1314,f1411,f1412,f1402,f1317,f1322,f1436,f1437,f1427,f1325,f500,f1442,f1444,f1446,f1367,f1390,f1473,f1474,f1391,f1392,f502,f1477,f1479,f1481,f1415,f1482,f1483,f1416,f1417,f1440,f1486,f1487,f1441,f1475,f520,f1490,f1491,f1492,f1493,f1494,f1495,f1496,f1497,f1498,f1499,f1500,f1501,f1484,f1488,f932,f1510,f1513,f1514,f1525,f1549,f1550,f1540,f1528,f1529,f1554,f1557,f1555,f521,f1560,f1561,f1562,f1563,f1564,f1565,f1566,f1567,f1568,f1569,f1570,f1571,f1558,f1527,f1574,f1575,f1576,f1577,f1578,f1579,f1580,f1581,f1584,f1573,f1585,f1586,f1587,f1588,f1589,f1590,f1591,f1592,f507,f1515,f1600,f1518,f1608,f1551,f1616,f1552,f1624,f1553,f1632,f488,f1662,f1665,f1556,f1667,f1668,f1669,f1670,f1671,f1672,f1673,f1674,f1677,f1666,f1678,f1679,f1680,f1681,f1682,f1683,f1684,f1685,f1599,f1712,f1713,f1701,f1602,f1607,f1741,f1742,f1730,f1610,f1615,f1770,f1771,f1759,f1618,f1623,f1799,f1800,f1788,f1626,f1631,f1828,f1829,f1817,f1634,f1689,f1835,f1837,f1838,f1690,f1717,f1867,f1868,f1718,f1719,f506,f1871,f1873,f1875,f1746,f1876,f1877,f1747,f1748,f1775,f1880,f1881,f1776,f1777,f1804,f1884,f1885,f1805,f523,f1888,f1889,f1890,f1892,f1806,f1833,f1893,f1894,f1834,f1869,f1878,f1882,f534,f1897,f1898,f1899,f1900,f1901,f1902,f1903,f1904,f1905,f1906,f1907,f1908,f1909,f1910,f1913,f1886,f1895,f1918,f1919,f1920,f1921,f1922,f1923,f1924,f1925,f1926,f1927,f1928,f1929,f1930,f1931,f1932,f1935,f954,f1957,f1958,f1959,f1960,f1961,f1962,f1950,f1953,f1037,f1963,f1964,f1965,f1966,f1967,f1968,f1969,f1970,f1971,f1972,f1973,f1974,f1975,f1976,f1979,f1177,f1981,f1982,f1983,f1984,f1985,f1986,f1987,f1988,f1989,f1990,f1991,f1992,f1993,f1994,f1997,f1526,f1999,f2000,f2001,f2002,f2003,f2004,f2005,f2006,f2007,f2008,f2009,f2010,f2011,f2012,f2015,f1077,f2018,f2019,f2020,f2021,f2022,f2023,f2024,f2025,f2026,f2027,f2028,f2029,f2030,f2033,f2017,f2034,f2035,f2036,f2037,f2038,f2039,f2040,f2041,f535,f533,f2046,f2048,f2050,f1308,f2052,f2053,f2054,f2055,f2056,f2057,f2058,f2059,f2060,f2061,f2062,f2063,f2064,f2067,f2051,f2068,f2069,f2070,f2071,f2072,f2073,f2074,f2075,f621,f2080,f2081,f2082,f2120,f2119,f2085,f2123,f2124,f2125,f2126,f2127,f2118,f2128,f2129,f2130,f2131,f2133,f2098,f2134,f2135,f2136,f2137,f2138,f2139,f2140,f2141,f2142,f2143,f2144,f2145,f2147,f2113,f1316,f2149,f2150,f2151,f2152,f2153,f2154,f2155,f2156,f2157,f2158,f2159,f2160,f2161,f2164,f2148,f2165,f2166,f2167,f2168,f2169,f2170,f2171,f2172,f835,f1324,f2179,f2180,f2181,f2182,f2183,f2184,f2185,f2186,f2187,f2188,f2189,f2190,f2191,f2194,f2178,f2195,f2196,f2197,f2198,f2199,f2200,f2201,f2202,f836,f1601,f2209,f2210,f2211,f2212,f2213,f2214,f2215,f2216,f2217,f2218,f2219,f2220,f2221,f2224,f837,f2208,f2226,f2227,f2228,f2229,f2230,f2231,f2232,f2233,f913,f1609,f2239,f2240,f2241,f2242,f2243,f2244,f2245,f2246,f2247,f2248,f2249,f2250,f2251,f2254,f2238,f2255,f2256,f2257,f2258,f2259,f2260,f2261,f2262,f915,f2269,f1617,f2272,f2273,f2274,f2275,f2276,f2277,f2278,f2279,f2280,f2281,f2282,f2283,f2284,f2287,f2271,f2288,f2289,f2290,f2291,f2292,f2293,f2294,f2295,f917,f1625,f2301,f2302,f2303,f2304,f2305,f2306,f2307,f2308,f2309,f2310,f2311,f2312,f2313,f2316,f2300,f2317,f2318,f2319,f2320,f2321,f2322,f2323,f2324,f919,f2331,f921,f2334,f2335,f2333,f1633,f2337,f2338,f2339,f2340,f2341,f2342,f2343,f2344,f2345,f2346,f2347,f2348,f2349,f2352,f2336,f2353,f2354,f2355,f2356,f2357,f2358,f2359,f2360,f923,f2365,f2367,f2370,f2371,f969,f2372,f2374,f2375,f2376,f2377,f2378,f2379,f2380,f2381,f2382,f2383,f2384,f2385,f2386,f2387,f2388,f2389,f2390,f2391,f2392,f970,f2400,f2402,f2403,f2404,f2405,f2406,f2407,f2408,f2409,f2410,f2411,f2412,f2413,f2414,f2415,f2416,f2417,f2418,f2419,f2420,f1129,f2431,f2432,f2433,f2434,f2430,f1171,f2441,f2442,f2443,f2444,f2440,f926,f2455,f2456,f2462,f2463,f2464,f2465,f2466,f2467,f2468,f2469,f2471,f2472,f2473,f2475,f2476,f2477,f2498,f2499,f2500,f2501,f2502,f2503,f2504,f2505,f2506,f2494,f2497,f2479,f2527,f2528,f2529,f2530,f2531,f2532,f2533,f2534,f2535,f2536,f2537,f2538,f2539,f2540,f2543,f2470,f2545,f2546,f2547,f2548,f2549,f2550,f2551,f2552,f2553,f2554,f2555,f2556,f2557,f2558,f2561,f2474,f2563,f2564,f2565,f2566,f2567,f2568,f2569,f2570,f2571,f2572,f2573,f2574,f2575,f2576,f2579,f2478,f2581,f2582,f2583,f2584,f2585,f2586,f2587,f2588,f2589,f2590,f2591,f2592,f2593,f2594,f2597,f1388,f2605,f2606,f2607,f2608,f2604,f1389,f2615,f2616,f2617,f2618,f2614,f927,f2620,f1413,f2627,f2628,f2629,f2630,f2626,f1414,f2637,f2638,f2639,f2640,f2636,f1438,f2647,f2648,f2649,f2650,f2646,f1439,f2657,f2658,f2659,f2660,f2656,f1516,f2667,f2668,f2669,f2670,f2666,f1517,f2677,f2678,f2679,f2680,f2676,f1519,f2687,f2688,f2689,f2690,f2686,f1520,f2697,f2698,f2699,f2700,f2696,f934,f2728,f1714,f2738,f2739,f2740,f2741,f2737,f1715,f2748,f2749,f2750,f2751,f2747,f1716,f2758,f2759,f2760,f2761,f2757,f1743,f2768,f2769,f2770,f2771,f2767,f1744,f2778,f2779,f2780,f2781,f2777,f1745,f2788,f2789,f2790,f2791,f2787,f935,f2793,f1772,f2800,f2801,f2802,f2803,f2799,f1773,f2810,f2811,f2812,f2813,f2809,f1774,f2820,f2821,f2822,f2823,f2819,f1801,f2830,f2831,f2832,f2833,f2829,f1802,f2840,f2841,f2842,f2843,f2839,f1803,f2850,f2851,f2852,f2853,f2849,f1830,f2860,f2861,f2862,f2863,f2859,f1831,f2870,f2871,f2872,f2873,f2869,f1832,f2880,f2881,f2882,f2883,f2879,f1010,f2886,f2887,f2888,f2889,f1954,f2891,f2892,f2893,f2894,f2895,f2896,f2897,f2898,f2899,f2900,f2901,f2902,f2903,f2906,f2890,f2907,f2908,f2909,f2910,f2911,f2912,f2913,f2914,f2915,f2916,f1208,f2922,f2924,f2925,f2926,f2927,f2928,f2929,f2931,f2932,f2933,f2934,f2935,f2936,f2938,f2939,f2940,f2941,f2942,f2943,f2944,f2945,f2946,f2947,f2948,f2949,f2950,f2951,f2952,f2953,f2954,f2955,f2956,f2957,f2958,f2959,f2960,f2962,f2963,f2964,f1955,f2967,f2968,f2969,f2970,f2971,f2972,f2973,f2974,f2975,f2976,f2977,f2978,f2979,f2980,f2983,f2966,f2984,f2985,f2986,f2987,f2988,f2989,f2990,f2991,f2992,f2993,f1225,f2999,f3001,f3002,f3003,f3004,f3005,f3006,f3008,f3009,f3010,f3011,f3012,f3013,f3015,f3016,f3017,f3018,f3019,f3020,f3021,f3022,f3023,f3024,f3025,f3026,f3027,f3028,f3029,f3030,f3031,f3032,f3033,f3034,f3035,f3036,f3037,f3038,f3040,f3041,f3042,f1956,f3045,f3046,f3047,f3048,f3049,f3050,f3051,f3052,f3053,f3054,f3055,f3056,f3057,f3058,f3061,f3062,f3044,f3063,f3064,f3065,f3066,f3067,f3068,f3069,f3070,f3071,f3072,f3089,f350,f665,f3092,f3091,f3090,f3100]) ).
fof(f3089,plain,
( ~ element(sK6,powerset(the_carrier(sK4)))
| ~ in(sK6,filter_of_net_str(sK4,sK5))
| ~ spl41_2 ),
inference(subsumption_resolution,[],[f351,f669]) ).
fof(f669,plain,
( is_eventually_in(sK4,sK5,sK6)
| ~ spl41_2 ),
inference(avatar_component_clause,[],[f667]) ).
fof(f3088,plain,
( spl41_1
| ~ spl41_2 ),
inference(avatar_contradiction_clause,[],[f3087]) ).
fof(f3087,plain,
( $false
| spl41_1
| ~ spl41_2 ),
inference(subsumption_resolution,[],[f3086,f347]) ).
fof(f3086,plain,
( empty_carrier(sK5)
| spl41_1
| ~ spl41_2 ),
inference(subsumption_resolution,[],[f3085,f348]) ).
fof(f3085,plain,
( ~ net_str(sK5,sK4)
| empty_carrier(sK5)
| spl41_1
| ~ spl41_2 ),
inference(subsumption_resolution,[],[f3084,f669]) ).
fof(f3084,plain,
( ~ is_eventually_in(sK4,sK5,sK6)
| ~ net_str(sK5,sK4)
| empty_carrier(sK5)
| spl41_1 ),
inference(subsumption_resolution,[],[f3080,f664]) ).
fof(f664,plain,
( ~ in(sK6,filter_of_net_str(sK4,sK5))
| spl41_1 ),
inference(avatar_component_clause,[],[f663]) ).
fof(f3080,plain,
( in(sK6,filter_of_net_str(sK4,sK5))
| ~ is_eventually_in(sK4,sK5,sK6)
| ~ net_str(sK5,sK4)
| empty_carrier(sK5)
| spl41_1 ),
inference(superposition,[],[f2122,f1665]) ).
fof(f2122,plain,
( ! [X0] :
( in(sK6,a_2_1_yellow19(sK4,X0))
| ~ is_eventually_in(sK4,X0,sK6)
| ~ net_str(X0,sK4)
| empty_carrier(X0) )
| spl41_1 ),
inference(subsumption_resolution,[],[f2121,f345]) ).
fof(f2121,plain,
( ! [X0] :
( ~ is_eventually_in(sK4,X0,sK6)
| in(sK6,a_2_1_yellow19(sK4,X0))
| ~ net_str(X0,sK4)
| empty_carrier(X0)
| empty_carrier(sK4) )
| spl41_1 ),
inference(subsumption_resolution,[],[f2086,f346]) ).
fof(f2086,plain,
( ! [X0] :
( ~ is_eventually_in(sK4,X0,sK6)
| in(sK6,a_2_1_yellow19(sK4,X0))
| ~ net_str(X0,sK4)
| empty_carrier(X0)
| ~ one_sorted_str(sK4)
| empty_carrier(sK4) )
| spl41_1 ),
inference(resolution,[],[f621,f680]) ).
fof(f680,plain,
( element(sK6,powerset(the_carrier(sK4)))
| spl41_1 ),
inference(subsumption_resolution,[],[f350,f664]) ).
fof(f2726,plain,
~ spl41_11,
inference(avatar_contradiction_clause,[],[f2725]) ).
fof(f2725,plain,
( $false
| ~ spl41_11 ),
inference(subsumption_resolution,[],[f2710,f354]) ).
fof(f2710,plain,
( empty(powerset(empty_set))
| ~ spl41_11 ),
inference(resolution,[],[f2704,f420]) ).
fof(f2704,plain,
( empty(sK9(powerset(empty_set)))
| ~ spl41_11 ),
inference(avatar_component_clause,[],[f2702]) ).
fof(f2702,plain,
( spl41_11
<=> empty(sK9(powerset(empty_set))) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_11])]) ).
fof(f2709,plain,
( spl41_11
| spl41_12
| ~ spl41_8 ),
inference(avatar_split_clause,[],[f1657,f826,f2706,f2702]) ).
fof(f2706,plain,
( spl41_12
<=> in(empty_set,sK9(powerset(empty_set))) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_12])]) ).
fof(f826,plain,
( spl41_8
<=> ! [X1] : ~ in(X1,empty_set) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_8])]) ).
fof(f1657,plain,
( in(empty_set,sK9(powerset(empty_set)))
| empty(sK9(powerset(empty_set)))
| ~ spl41_8 ),
inference(superposition,[],[f747,f1636]) ).
fof(f1636,plain,
( empty_set = sK20(sK9(powerset(empty_set)))
| ~ spl41_8 ),
inference(resolution,[],[f1582,f352]) ).
fof(f1582,plain,
( ! [X0] :
( ~ empty(X0)
| empty_set = sK20(sK9(powerset(X0))) )
| ~ spl41_8 ),
inference(resolution,[],[f1527,f1212]) ).
fof(f1212,plain,
( ! [X0] :
( in(sK23(X0,empty_set),X0)
| empty_set = X0 )
| ~ spl41_8 ),
inference(resolution,[],[f525,f827]) ).
fof(f827,plain,
( ! [X1] : ~ in(X1,empty_set)
| ~ spl41_8 ),
inference(avatar_component_clause,[],[f826]) ).
fof(f2523,plain,
~ spl41_9,
inference(avatar_contradiction_clause,[],[f2522]) ).
fof(f2522,plain,
( $false
| ~ spl41_9 ),
inference(subsumption_resolution,[],[f2507,f354]) ).
fof(f2507,plain,
( empty(powerset(empty_set))
| ~ spl41_9 ),
inference(resolution,[],[f2448,f417]) ).
fof(f2448,plain,
( empty(sK8(powerset(empty_set)))
| ~ spl41_9 ),
inference(avatar_component_clause,[],[f2446]) ).
fof(f2446,plain,
( spl41_9
<=> empty(sK8(powerset(empty_set))) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_9])]) ).
fof(f2453,plain,
( spl41_9
| spl41_10
| ~ spl41_8 ),
inference(avatar_split_clause,[],[f1346,f826,f2450,f2446]) ).
fof(f2450,plain,
( spl41_10
<=> in(empty_set,sK8(powerset(empty_set))) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_10])]) ).
fof(f1346,plain,
( in(empty_set,sK8(powerset(empty_set)))
| empty(sK8(powerset(empty_set)))
| ~ spl41_8 ),
inference(superposition,[],[f747,f1327]) ).
fof(f1327,plain,
( empty_set = sK20(sK8(powerset(empty_set)))
| ~ spl41_8 ),
inference(resolution,[],[f1281,f352]) ).
fof(f1281,plain,
( ! [X0] :
( ~ empty(X0)
| empty_set = sK20(sK8(powerset(X0))) )
| ~ spl41_8 ),
inference(resolution,[],[f1178,f1212]) ).
fof(f834,plain,
~ spl41_7,
inference(avatar_contradiction_clause,[],[f829]) ).
fof(f829,plain,
( $false
| ~ spl41_7 ),
inference(resolution,[],[f824,f352]) ).
fof(f824,plain,
( ! [X0] : ~ empty(X0)
| ~ spl41_7 ),
inference(avatar_component_clause,[],[f823]) ).
fof(f823,plain,
( spl41_7
<=> ! [X0] : ~ empty(X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_7])]) ).
fof(f833,plain,
~ spl41_7,
inference(avatar_contradiction_clause,[],[f830]) ).
fof(f830,plain,
( $false
| ~ spl41_7 ),
inference(resolution,[],[f824,f548]) ).
fof(f832,plain,
~ spl41_7,
inference(avatar_contradiction_clause,[],[f831]) ).
fof(f831,plain,
( $false
| ~ spl41_7 ),
inference(resolution,[],[f824,f510]) ).
fof(f828,plain,
( spl41_7
| spl41_8 ),
inference(avatar_split_clause,[],[f821,f826,f823]) ).
fof(f725,plain,
( ~ spl41_5
| spl41_6 ),
inference(avatar_contradiction_clause,[],[f724]) ).
fof(f724,plain,
( $false
| ~ spl41_5
| spl41_6 ),
inference(global_subsumption,[],[f351,f350,f353,f364,f363,f362,f361,f360,f385,f384,f383,f382,f381,f380,f379,f378,f377,f376,f375,f374,f373,f396,f395,f394,f393,f392,f391,f390,f389,f388,f387,f386,f397,f412,f622,f411,f623,f410,f624,f409,f625,f408,f626,f407,f627,f406,f628,f405,f629,f404,f630,f403,f631,f402,f632,f401,f633,f399,f634,f425,f432,f436,f439,f442,f441,f450,f453,f457,f456,f468,f472,f478,f483,f480,f635,f484,f485,f488,f489,f491,f492,f494,f495,f499,f498,f497,f501,f500,f503,f502,f507,f506,f517,f519,f518,f521,f520,f522,f523,f524,f526,f525,f532,f621,f535,f534,f533,f537,f539,f538,f540,f345,f346,f347,f352,f541,f542,f543,f544,f545,f546,f547,f548,f549,f550,f551,f552,f553,f554,f555,f556,f557,f558,f559,f560,f561,f562,f563,f564,f565,f566,f567,f568,f569,f570,f571,f572,f573,f574,f575,f576,f577,f578,f579,f580,f581,f582,f583,f584,f585,f586,f587,f588,f589,f590,f591,f592,f593,f594,f595,f596,f597,f598,f599,f600,f601,f602,f603,f604,f605,f606,f607,f608,f609,f610,f611,f612,f613,f614,f615,f616,f617,f618,f619,f620,f348,f354,f355,f356,f357,f358,f359,f365,f366,f367,f368,f369,f370,f371,f372,f398,f510,f512,f513,f514,f413,f429,f431,f447,f448,f449,f463,f464,f466,f467,f476,f508,f400,f415,f417,f418,f420,f421,f426,f427,f430,f509,f637,f638,f640,f529,f424,f433,f434,f435,f437,f511,f515,f516,f530,f531,f349,f414,f416,f419,f423,f674,f486,f673,f487,f490,f493,f496,f504,f505,f527,f528,f422,f428,f681,f682,f683,f684,f686,f689,f692,f709,f706,f712,f713,f714,f715]) ).
fof(f715,plain,
( ! [X0] : ~ one_sorted_str(X0)
| ~ spl41_5 ),
inference(resolution,[],[f706,f427]) ).
fof(f714,plain,
( ! [X0] : empty(X0)
| ~ spl41_5 ),
inference(resolution,[],[f706,f421]) ).
fof(f713,plain,
( ! [X0] : empty(X0)
| ~ spl41_5 ),
inference(resolution,[],[f706,f418]) ).
fof(f712,plain,
( ! [X0] : ~ empty(X0)
| ~ spl41_5 ),
inference(resolution,[],[f706,f429]) ).
fof(f706,plain,
( ! [X0] : ~ finite(X0)
| ~ spl41_5 ),
inference(avatar_component_clause,[],[f705]) ).
fof(f705,plain,
( spl41_5
<=> ! [X0] : ~ finite(X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_5])]) ).
fof(f709,plain,
( ~ finite(empty_set)
| spl41_6 ),
inference(avatar_component_clause,[],[f708]) ).
fof(f708,plain,
( spl41_6
<=> finite(empty_set) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_6])]) ).
fof(f723,plain,
( ~ spl41_5
| spl41_6 ),
inference(avatar_contradiction_clause,[],[f722]) ).
fof(f722,plain,
( $false
| ~ spl41_5
| spl41_6 ),
inference(global_subsumption,[],[f351,f350,f353,f364,f363,f362,f361,f360,f385,f384,f383,f382,f381,f380,f379,f378,f377,f376,f375,f374,f373,f396,f395,f394,f393,f392,f391,f390,f389,f388,f387,f386,f397,f412,f622,f411,f623,f410,f624,f409,f625,f408,f626,f407,f627,f406,f628,f405,f629,f404,f630,f403,f631,f402,f632,f401,f633,f399,f634,f425,f432,f436,f439,f442,f441,f450,f453,f457,f456,f468,f472,f478,f483,f480,f635,f484,f485,f488,f489,f491,f492,f494,f495,f499,f498,f497,f501,f500,f503,f502,f507,f506,f517,f519,f518,f521,f520,f522,f523,f524,f526,f525,f532,f621,f535,f534,f533,f537,f539,f538,f540,f345,f346,f347,f352,f541,f542,f543,f544,f545,f546,f547,f548,f549,f550,f551,f552,f553,f554,f555,f556,f557,f558,f559,f560,f561,f562,f563,f564,f565,f566,f567,f568,f569,f570,f571,f572,f573,f574,f575,f576,f577,f578,f579,f580,f581,f582,f583,f584,f585,f586,f587,f588,f589,f590,f591,f592,f593,f594,f595,f596,f597,f598,f599,f600,f601,f602,f603,f604,f605,f606,f607,f608,f609,f610,f611,f612,f613,f614,f615,f616,f617,f618,f619,f620,f348,f354,f355,f356,f357,f358,f359,f365,f366,f367,f368,f369,f370,f371,f372,f398,f510,f512,f513,f514,f413,f429,f431,f447,f448,f449,f463,f464,f466,f467,f476,f508,f400,f415,f417,f418,f420,f421,f426,f427,f430,f509,f637,f638,f640,f529,f424,f433,f434,f435,f437,f511,f515,f516,f530,f531,f349,f414,f416,f419,f423,f674,f486,f673,f487,f490,f493,f496,f504,f505,f527,f528,f422,f428,f681,f682,f683,f684,f686,f689,f692,f709,f706,f712,f713,f714]) ).
fof(f721,plain,
( ~ spl41_5
| spl41_6 ),
inference(avatar_contradiction_clause,[],[f720]) ).
fof(f720,plain,
( $false
| ~ spl41_5
| spl41_6 ),
inference(global_subsumption,[],[f351,f350,f353,f364,f363,f362,f361,f360,f385,f384,f383,f382,f381,f380,f379,f378,f377,f376,f375,f374,f373,f396,f395,f394,f393,f392,f391,f390,f389,f388,f387,f386,f397,f412,f622,f411,f623,f410,f624,f409,f625,f408,f626,f407,f627,f406,f628,f405,f629,f404,f630,f403,f631,f402,f632,f401,f633,f399,f634,f425,f432,f436,f439,f442,f441,f450,f453,f457,f456,f468,f472,f478,f483,f480,f635,f484,f485,f488,f489,f491,f492,f494,f495,f499,f498,f497,f501,f500,f503,f502,f507,f506,f517,f519,f518,f521,f520,f522,f523,f524,f526,f525,f532,f621,f535,f534,f533,f537,f539,f538,f540,f345,f346,f347,f352,f541,f542,f543,f544,f545,f546,f547,f548,f549,f550,f551,f552,f553,f554,f555,f556,f557,f558,f559,f560,f561,f562,f563,f564,f565,f566,f567,f568,f569,f570,f571,f572,f573,f574,f575,f576,f577,f578,f579,f580,f581,f582,f583,f584,f585,f586,f587,f588,f589,f590,f591,f592,f593,f594,f595,f596,f597,f598,f599,f600,f601,f602,f603,f604,f605,f606,f607,f608,f609,f610,f611,f612,f613,f614,f615,f616,f617,f618,f619,f620,f348,f354,f355,f356,f357,f358,f359,f365,f366,f367,f368,f369,f370,f371,f372,f398,f510,f512,f513,f514,f413,f429,f431,f447,f448,f449,f463,f464,f466,f467,f476,f508,f400,f415,f417,f418,f420,f421,f426,f427,f430,f509,f637,f638,f640,f529,f424,f433,f434,f435,f437,f511,f515,f516,f530,f531,f349,f414,f416,f419,f423,f674,f486,f673,f487,f490,f493,f496,f504,f505,f527,f528,f422,f428,f681,f682,f683,f684,f686,f689,f692,f709,f706,f712,f713]) ).
fof(f719,plain,
~ spl41_5,
inference(avatar_contradiction_clause,[],[f716]) ).
fof(f716,plain,
( $false
| ~ spl41_5 ),
inference(resolution,[],[f706,f513]) ).
fof(f718,plain,
~ spl41_5,
inference(avatar_contradiction_clause,[],[f717]) ).
fof(f717,plain,
( $false
| ~ spl41_5 ),
inference(resolution,[],[f706,f545]) ).
fof(f711,plain,
( spl41_5
| spl41_6 ),
inference(avatar_split_clause,[],[f692,f708,f705]) ).
fof(f701,plain,
( ~ spl41_3
| spl41_4
| spl41_1 ),
inference(avatar_split_clause,[],[f685,f663,f698,f694]) ).
fof(f694,plain,
( spl41_3
<=> finite(the_carrier(sK4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_3])]) ).
fof(f698,plain,
( spl41_4
<=> finite(sK6) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_4])]) ).
fof(f685,plain,
( finite(sK6)
| ~ finite(the_carrier(sK4))
| spl41_1 ),
inference(resolution,[],[f428,f680]) ).
fof(f670,plain,
( spl41_1
| spl41_2 ),
inference(avatar_split_clause,[],[f349,f667,f663]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : SEU391+1 : TPTP v8.1.2. Released v3.3.0.
% 0.06/0.12 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.12/0.33 % Computer : n008.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Fri May 3 11:34:57 EDT 2024
% 0.12/0.33 % CPUTime :
% 0.12/0.33 % (32155)Running in auto input_syntax mode. Trying TPTP
% 0.12/0.35 % (32158)WARNING: value z3 for option sas not known
% 0.12/0.35 % (32162)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on theBenchmark for (497ds/0Mi)
% 0.12/0.35 % (32158)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on theBenchmark for (569ds/0Mi)
% 0.12/0.35 % (32161)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on theBenchmark for (522ds/0Mi)
% 0.12/0.35 % (32157)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.12/0.35 % (32156)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.12/0.35 % (32159)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.12/0.35 % (32160)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on theBenchmark for (531ds/0Mi)
% 0.12/0.36 TRYING [1]
% 0.12/0.36 TRYING [2]
% 0.12/0.37 TRYING [3]
% 0.18/0.38 TRYING [1]
% 0.18/0.38 TRYING [4]
% 0.18/0.38 TRYING [2]
% 0.18/0.41 TRYING [5]
% 0.18/0.42 TRYING [3]
% 0.18/0.43 TRYING [1]
% 0.18/0.43 TRYING [2]
% 0.18/0.43 TRYING [3]
% 0.18/0.44 % (32158)First to succeed.
% 0.18/0.45 TRYING [4]
% 0.18/0.48 % (32158)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-32155"
% 0.18/0.48 % (32158)Refutation found. Thanks to Tanya!
% 0.18/0.48 % SZS status Theorem for theBenchmark
% 0.18/0.48 % SZS output start Proof for theBenchmark
% See solution above
% 0.18/0.50 % (32158)------------------------------
% 0.18/0.50 % (32158)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.18/0.50 % (32158)Termination reason: Refutation
% 0.18/0.50
% 0.18/0.50 % (32158)Memory used [KB]: 2454
% 0.18/0.50 % (32158)Time elapsed: 0.130 s
% 0.18/0.50 % (32158)Instructions burned: 260 (million)
% 0.18/0.50 % (32155)Success in time 0.154 s
%------------------------------------------------------------------------------