%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : SEU238+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 : n029.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 : Tue Apr 30 15:25:11 EDT 2024

% Result   : Theorem 1.95s 0.66s
% Output   : Refutation 1.95s
% Verified : 
% SZS Type : ERROR: Analysing output (MakeTreeStats ran out of CPU time)

% Comments : 
%------------------------------------------------------------------------------
fof(f3581,plain,
    $false,
    inference(avatar_sat_refutation,[],[f257,f308,f318,f319,f320,f321,f322,f382,f487,f780,f797,f807,f874,f877,f2716,f2728,f2740,f2765,f3371,f3384,f3580]) ).

fof(f3580,plain,
    ( ~ spl17_1
    | ~ spl17_2 ),
    inference(avatar_contradiction_clause,[],[f3579]) ).

fof(f3579,plain,
    ( $false
    | ~ spl17_1
    | ~ spl17_2 ),
    inference(subsumption_resolution,[],[f3577,f256]) ).

fof(f256,plain,
    ( sP0(sK2)
    | ~ spl17_2 ),
    inference(avatar_component_clause,[],[f254]) ).

fof(f254,plain,
    ( spl17_2
  <=> sP0(sK2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl17_2])]) ).

fof(f3577,plain,
    ( ~ sP0(sK2)
    | ~ spl17_1
    | ~ spl17_2 ),
    inference(resolution,[],[f3471,f153]) ).

fof(f153,plain,
    ! [X0] :
      ( ordinal(sK1(X0))
      | ~ sP0(X0) ),
    inference(cnf_transformation,[],[f116]) ).

fof(f116,plain,
    ! [X0] :
      ( ( being_limit_ordinal(X0)
        & succ(sK1(X0)) = X0
        & ordinal(sK1(X0)) )
      | ~ sP0(X0) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK1])],[f114,f115]) ).

fof(f115,plain,
    ! [X0] :
      ( ? [X1] :
          ( succ(X1) = X0
          & ordinal(X1) )
     => ( succ(sK1(X0)) = X0
        & ordinal(sK1(X0)) ) ),
    introduced(choice_axiom,[]) ).

fof(f114,plain,
    ! [X0] :
      ( ( being_limit_ordinal(X0)
        & ? [X1] :
            ( succ(X1) = X0
            & ordinal(X1) ) )
      | ~ sP0(X0) ),
    inference(nnf_transformation,[],[f112]) ).

fof(f112,plain,
    ! [X0] :
      ( ( being_limit_ordinal(X0)
        & ? [X1] :
            ( succ(X1) = X0
            & ordinal(X1) ) )
      | ~ sP0(X0) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).

fof(f3471,plain,
    ( ~ ordinal(sK1(sK2))
    | ~ spl17_1
    | ~ spl17_2 ),
    inference(global_subsumption,[],[f160,f162,f166,f177,f248,f156,f159,f167,f168,f169,f219,f220,f221,f222,f223,f224,f225,f227,f228,f229,f230,f241,f242,f243,f244,f246,f170,f198,f157,f155,f171,f175,f190,f191,f192,f196,f153,f172,f178,f179,f180,f189,f259,f260,f261,f262,f199,f216,f193,f201,f202,f203,f205,f281,f206,f154,f173,f182,f200,f286,f289,f292,f285,f300,f295,f207,f213,f323,f214,f215,f324,f183,f338,f204,f340,f343,f335,f184,f212,f218,f348,f352,f354,f361,f362,f363,f364,f355,f369,f370,f373,f368,f174,f349,f350,f353,f356,f208,f209,f210,f217,f427,f428,f342,f441,f429,f347,f449,f351,f421,f460,f432,f439,f450,f185,f459,f472,f471,f475,f476,f466,f492,f493,f494,f496,f501,f490,f186,f522,f181,f540,f541,f535,f538,f546,f521,f337,f553,f555,f556,f423,f393,f562,f563,f489,f577,f578,f579,f403,f588,f589,f590,f502,f610,f611,f612,f420,f641,f642,f636,f646,f644,f649,f657,f653,f651,f443,f679,f552,f686,f689,f691,f701,f693,f463,f702,f703,f704,f705,f682,f713,f707,f717,f710,f684,f724,f722,f526,f736,f733,f740,f745,f746,f719,f753,f755,f757,f750,f582,f664,f675,f769,f768,f390,f789,f770,f771,f787,f812,f813,f814,f815,f816,f817,f818,f790,f436,f838,f635,f853,f854,f542,f856,f431,f857,f858,f859,f865,f557,f884,f885,f886,f887,f735,f893,f901,f903,f905,f897,f837,f921,f922,f923,f924,f911,f920,f919,f917,f906,f932,f931,f852,f951,f447,f957,f958,f959,f955,f956,f734,f964,f811,f891,f982,f984,f986,f988,f977,f916,f989,f990,f991,f918,f995,f996,f997,f950,f1004,f499,f1009,f1010,f1011,f1012,f500,f1037,f1038,f1039,f1040,f933,f994,f1075,f1077,f1062,f1063,f1064,f1078,f1066,f1079,f1080,f1069,f1070,f1071,f1072,f999,f1099,f1103,f1087,f1088,f1089,f1106,f1107,f1108,f1094,f1095,f1096,f1097,f1101,f1115,f1105,f1120,f1119,f1002,f1130,f1129,f1007,f1203,f1202,f1137,f1138,f1139,f1199,f1205,f1206,f1145,f1146,f1198,f1196,f1192,f1191,f1162,f1163,f1164,f1188,f1207,f1208,f1170,f1171,f1187,f1185,f645,f1215,f1055,f1252,f1250,f1256,f1248,f1257,f1258,f1230,f1259,f1237,f1261,f1262,f1263,f1264,f1243,f1255,f1266,f1270,f1271,f1268,f1274,f1283,f1276,f1277,f1284,f1278,f1285,f1279,f1253,f1295,f1296,f1293,f1289,f1298,f1308,f1309,f1310,f1303,f1059,f1323,f1324,f1325,f1317,f1318,f1319,f1084,f1338,f1340,f1332,f1333,f1341,f1222,f1366,f1363,f1367,f1368,f1369,f1370,f1371,f1352,f1235,f1373,f1374,f1388,f1390,f1391,f1392,f1393,f1394,f1395,f1379,f1396,f1397,f1381,f1398,f1382,f647,f1408,f1404,f1387,f1411,f1422,f1420,f1423,f1424,f1413,f1440,f1438,f1441,f1442,f1443,f1431,f1419,f1444,f444,f1468,f1462,f1461,f1471,f1470,f1489,f1487,f1490,f1491,f1492,f1477,f1483,f1482,f462,f1493,f1494,f1495,f1497,f1498,f1500,f1501,f1499,f1503,f1504,f1505,f1506,f1507,f1508,f1509,f1510,f1511,f468,f1513,f1512,f1514,f741,f1526,f1525,f1527,f1528,f1529,f1521,f699,f1541,f1542,f1543,f1544,f1546,f1548,f1539,f844,f1579,f1578,f1580,f1581,f1582,f1555,f1556,f1583,f1584,f1585,f1560,f1577,f1576,f1575,f1574,f1572,f1569,f1571,f845,f1612,f1613,f1611,f1610,f1609,f1592,f1608,f1607,f1606,f1615,f1616,f1617,f1620,f1604,f1622,f1619,f1623,f1624,f1621,f1628,f1629,f1627,f1659,f1658,f1661,f1662,f1641,f1642,f1643,f1663,f1664,f1646,f1665,f1649,f1650,f1656,f1652,f1654,f1632,f1692,f1691,f1694,f1695,f1674,f1675,f1676,f1696,f1697,f1679,f1698,f1682,f1683,f1689,f1685,f1687,f1637,f1712,f1713,f1714,f1705,f1706,f1707,f1708,f1709,f1670,f1728,f1729,f1730,f1721,f1722,f1723,f1724,f1725,f530,f1734,f1741,f1736,f1737,f1614,f1763,f1764,f1766,f1768,f1770,f1771,f1750,f1772,f1774,f1775,f1777,f1754,f1778,f1779,f862,f1780,f1781,f1782,f1785,f1800,f1787,f1788,f1789,f1801,f1802,f1792,f1793,f1803,f1804,f1796,f1798,f495,f1808,f1809,f1810,f715,f1871,f1872,f1869,f1818,f1819,f1823,f1824,f1873,f1825,f1826,f1874,f1875,f1868,f1876,f1867,f1877,f1878,f1879,f1835,f1866,f1880,f1881,f1864,f1840,f1841,f1843,f1845,f1846,f1847,f1848,f1882,f1883,f1863,f1884,f1862,f1885,f1886,f1887,f1857,f1861,f1860,f1890,f1891,f1904,f1901,f1906,f1893,f1924,f1922,f1925,f1926,f1913,f1914,f1915,f1903,f1951,f1958,f1960,f1961,f1962,f1963,f1939,f1964,f1968,f1942,f1969,f1970,f1928,f1900,f1973,f529,f2007,f2008,f2009,f2010,f2005,f2011,f2004,f2012,f2013,f2003,f2014,f2015,f2016,f2017,f1985,f2018,f2002,f2001,f2019,f2020,f2021,f2022,f2023,f2025,f2026,f2027,f1996,f2028,f2029,f1998,f2030,f2031,f1956,f2062,f2063,f2064,f2065,f2060,f2036,f2037,f2041,f2042,f2066,f2043,f2044,f2067,f2046,f2068,f2059,f2069,f2070,f2071,f2058,f2072,f2073,f2074,f2055,f2057,f1959,f2039,f2101,f2077,f2102,f2099,f2103,f2104,f2105,f2083,f2106,f2107,f2085,f2086,f2087,f2088,f2089,f2108,f2109,f2092,f1975,f2110,f2132,f2131,f2134,f2135,f2120,f2121,f2125,f528,f2136,f2169,f2170,f2167,f2166,f2171,f2165,f2172,f2173,f2174,f2147,f2175,f2164,f2176,f2163,f2177,f2178,f2179,f2181,f2182,f2183,f2158,f2184,f2160,f2185,f2186,f788,f2187,f2188,f2189,f2190,f2191,f2192,f2193,f2194,f2195,f2196,f1467,f2204,f2203,f2205,f1533,f2223,f2224,f2225,f2226,f2228,f2230,f2232,f2233,f2234,f2235,f2215,f1568,f1573,f1783,f2250,f2251,f2252,f2253,f2254,f1797,f533,f2280,f2279,f2281,f2282,f2283,f2274,f2284,f2267,f2268,f2273,f2272,f580,f581,f2300,f2302,f2304,f1502,f2312,f2313,f2314,f2315,f2316,f2317,f2318,f2319,f2320,f2321,f1625,f2322,f2323,f2324,f2325,f1630,f2326,f2327,f2328,f2329,f1813,f2330,f2331,f2335,f2337,f2338,f2339,f2340,f2341,f2342,f2343,f2344,f2345,f2346,f2347,f2348,f2349,f2350,f2352,f2351,f2359,f2361,f2362,f2363,f2364,f2365,f2366,f2332,f2369,f2370,f2371,f2372,f2373,f2374,f2375,f2376,f2377,f2358,f2389,f2390,f2391,f2392,f2393,f2394,f2395,f2396,f2397,f461,f2406,f2407,f2408,f2409,f2410,f2411,f2412,f2413,f2414,f2415,f2416,f2417,f2418,f1821,f2444,f2420,f2445,f2442,f2446,f2447,f2448,f2426,f2449,f2428,f2429,f2430,f2431,f2432,f2450,f2451,f2435,f2238,f2465,f2463,f2462,f2466,f2467,f2240,f2480,f2478,f2481,f2482,f2483,f1074,f2505,f1076,f2512,f2511,f1098,f2528,f2534,f1905,f2557,f2555,f2558,f2559,f2561,f2562,f2563,f2565,f2567,f2568,f2569,f2571,f2552,f2333,f2575,f2576,f2577,f2578,f2579,f2459,f2589,f2475,f2595,f667,f1114,f2614,f2615,f2616,f2617,f2618,f2619,f2607,f2608,f2609,f2610,f2620,f2621,f1952,f2651,f2652,f2654,f2627,f2628,f2632,f2633,f2634,f2635,f2636,f2655,f2637,f2638,f2656,f2657,f2658,f2640,f2659,f2641,f2642,f2660,f2644,f2645,f2646,f2647,f2648,f2661,f2649,f2662,f1954,f1966,f2133,f2667,f2542,f2687,f2688,f2689,f2691,f2693,f2695,f2674,f2696,f2697,f2698,f2678,f765,f2700,f2702,f2704,f2709,f2703,f2701,f2705,f1212,f2753,f2706,f767,f1272,f2772,f1217,f2810,f2808,f2811,f2812,f2781,f2814,f2815,f2786,f2816,f2818,f2819,f2821,f2822,f2823,f2825,f2826,f2827,f2829,f2801,f2830,f2630,f2832,f2833,f2854,f2834,f2855,f2856,f2836,f2857,f2837,f2858,f2838,f2859,f2839,f2840,f2860,f2841,f2842,f2843,f2844,f2845,f2846,f2847,f2861,f2848,f2862,f2849,f2863,f2850,f1743,f1762,f2902,f2905,f2897,f2896,f2895,f2894,f2906,f2884,f2890,f2889,f2699,f2908,f2909,f2910,f2911,f2912,f2913,f2914,f2915,f2916,f2921,f2922,f2923,f2924,f2907,f2926,f2927,f2928,f2929,f2930,f2931,f2932,f2933,f2934,f2939,f2940,f2941,f2942,f2925,f2947,f1402,f2962,f2963,f2965,f2948,f2977,f2978,f2976,f2981,f2996,f2997,f3012,f3013,f2970,f3024,f3025,f1409,f3100,f3111,f3112,f3094,f3114,f3115,f3116,f3091,f3117,f3089,f3087,f3086,f3052,f3118,f3119,f3060,f3061,f3062,f3122,f3123,f3125,f3126,f3127,f3128,f3129,f3130,f3131,f3132,f3133,f3134,f3135,f3076,f3078,f3079,f3081,f3108,f3171,f3167,f3166,f3165,f3146,f3173,f3158,f3157,f3156,f3110,f3179,f3177,f158,f256,f3380,f3382,f251,f3381,f3385,f3386,f3387,f3388,f3390,f3391,f3392,f3393,f3395,f3396,f3397,f3399,f3470,f3401]) ).

fof(f3401,plain,
    ( ! [X0] :
        ( in(X0,sK2)
        | in(sK1(sK2),succ(X0))
        | ~ ordinal(sK1(sK2))
        | ~ ordinal(X0) )
    | ~ spl17_2 ),
    inference(superposition,[],[f552,f3381]) ).

fof(f3470,plain,
    ( ~ ordinal(sK1(sK2))
    | ~ spl17_1
    | ~ spl17_2 ),
    inference(subsumption_resolution,[],[f3400,f251]) ).

fof(f3400,plain,
    ( ~ being_limit_ordinal(sK2)
    | ~ ordinal(sK1(sK2))
    | ~ spl17_2 ),
    inference(superposition,[],[f546,f3381]) ).

fof(f3399,plain,
    ( ! [X0] :
        ( subset(sK2,X0)
        | ~ ordinal(sK1(sK2))
        | ~ being_limit_ordinal(powerset(X0))
        | ~ ordinal(powerset(X0))
        | ~ in(sK1(sK2),powerset(X0)) )
    | ~ spl17_2 ),
    inference(superposition,[],[f530,f3381]) ).

fof(f3397,plain,
    ( ! [X0,X1] :
        ( ~ in(X0,sK2)
        | ~ ordinal(sK1(sK2))
        | ~ being_limit_ordinal(powerset(X1))
        | ~ ordinal(powerset(X1))
        | ~ in(sK1(sK2),powerset(X1))
        | element(X0,X1) )
    | ~ spl17_2 ),
    inference(superposition,[],[f528,f3381]) ).

fof(f3396,plain,
    ( ! [X0] :
        ( ~ in(X0,sK2)
        | ~ ordinal(sK1(sK2))
        | ~ being_limit_ordinal(X0)
        | ~ ordinal(X0)
        | ~ in(sK1(sK2),X0) )
    | ~ spl17_2 ),
    inference(superposition,[],[f526,f3381]) ).

fof(f3395,plain,
    ( ! [X0] :
        ( ordinal_subset(X0,sK2)
        | ~ ordinal(X0)
        | ~ ordinal(sK1(sK2))
        | in(sK1(sK2),X0) )
    | ~ spl17_2 ),
    inference(superposition,[],[f521,f3381]) ).

fof(f3393,plain,
    ( ~ in(sK2,sK1(sK2))
    | ~ spl17_2 ),
    inference(superposition,[],[f281,f3381]) ).

fof(f3392,plain,
    ( ! [X0] :
        ( ~ ordinal_subset(sK2,X0)
        | in(sK1(sK2),X0)
        | ~ ordinal(X0)
        | ~ ordinal(sK1(sK2)) )
    | ~ spl17_2 ),
    inference(superposition,[],[f186,f3381]) ).

fof(f3391,plain,
    ( ! [X0] :
        ( ordinal_subset(sK2,X0)
        | ~ in(sK1(sK2),X0)
        | ~ ordinal(X0)
        | ~ ordinal(sK1(sK2)) )
    | ~ spl17_2 ),
    inference(superposition,[],[f185,f3381]) ).

fof(f3390,plain,
    ( ! [X0] :
        ( in(sK2,X0)
        | ~ in(sK1(sK2),X0)
        | ~ ordinal(sK1(sK2))
        | ~ being_limit_ordinal(X0)
        | ~ ordinal(X0) )
    | ~ spl17_2 ),
    inference(superposition,[],[f181,f3381]) ).

fof(f3388,plain,
    ( epsilon_connected(sK2)
    | ~ ordinal(sK1(sK2))
    | ~ spl17_2 ),
    inference(superposition,[],[f179,f3381]) ).

fof(f3387,plain,
    ( epsilon_transitive(sK2)
    | ~ ordinal(sK1(sK2))
    | ~ spl17_2 ),
    inference(superposition,[],[f178,f3381]) ).

fof(f3386,plain,
    ( in(sK1(sK2),sK2)
    | ~ spl17_2 ),
    inference(superposition,[],[f171,f3381]) ).

fof(f3385,plain,
    ( ~ empty(sK2)
    | ~ spl17_2 ),
    inference(superposition,[],[f170,f3381]) ).

fof(f3381,plain,
    ( sK2 = succ(sK1(sK2))
    | ~ spl17_2 ),
    inference(resolution,[],[f256,f154]) ).

fof(f251,plain,
    ( being_limit_ordinal(sK2)
    | ~ spl17_1 ),
    inference(avatar_component_clause,[],[f250]) ).

fof(f250,plain,
    ( spl17_1
  <=> being_limit_ordinal(sK2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl17_1])]) ).

fof(f3382,plain,
    ( being_limit_ordinal(sK2)
    | ~ spl17_2 ),
    inference(resolution,[],[f256,f155]) ).

fof(f3380,plain,
    ( ! [X0,X1] :
        ( sK1(sK2) = X0
        | ~ empty(X1)
        | ordinal_subset(X1,sK1(sK2))
        | ~ empty(X0) )
    | ~ spl17_2 ),
    inference(resolution,[],[f256,f767]) ).

fof(f158,plain,
    ! [X1] :
      ( sP0(sK2)
      | succ(X1) != sK2
      | ~ ordinal(X1) ),
    inference(cnf_transformation,[],[f119]) ).

fof(f119,plain,
    ( ( sP0(sK2)
      | ( ! [X1] :
            ( succ(X1) != sK2
            | ~ ordinal(X1) )
        & ~ being_limit_ordinal(sK2) ) )
    & ordinal(sK2) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK2])],[f117,f118]) ).

fof(f118,plain,
    ( ? [X0] :
        ( ( sP0(X0)
          | ( ! [X1] :
                ( succ(X1) != X0
                | ~ ordinal(X1) )
            & ~ being_limit_ordinal(X0) ) )
        & ordinal(X0) )
   => ( ( sP0(sK2)
        | ( ! [X1] :
              ( succ(X1) != sK2
              | ~ ordinal(X1) )
          & ~ being_limit_ordinal(sK2) ) )
      & ordinal(sK2) ) ),
    introduced(choice_axiom,[]) ).

fof(f117,plain,
    ? [X0] :
      ( ( sP0(X0)
        | ( ! [X1] :
              ( succ(X1) != X0
              | ~ ordinal(X1) )
          & ~ being_limit_ordinal(X0) ) )
      & ordinal(X0) ),
    inference(rectify,[],[f113]) ).

fof(f113,plain,
    ? [X0] :
      ( ( sP0(X0)
        | ( ! [X2] :
              ( succ(X2) != X0
              | ~ ordinal(X2) )
          & ~ being_limit_ordinal(X0) ) )
      & ordinal(X0) ),
    inference(definition_folding,[],[f74,f112]) ).

fof(f74,plain,
    ? [X0] :
      ( ( ( being_limit_ordinal(X0)
          & ? [X1] :
              ( succ(X1) = X0
              & ordinal(X1) ) )
        | ( ! [X2] :
              ( succ(X2) != X0
              | ~ ordinal(X2) )
          & ~ being_limit_ordinal(X0) ) )
      & ordinal(X0) ),
    inference(ennf_transformation,[],[f61]) ).

fof(f61,plain,
    ~ ! [X0] :
        ( ordinal(X0)
       => ( ~ ( being_limit_ordinal(X0)
              & ? [X1] :
                  ( succ(X1) = X0
                  & ordinal(X1) ) )
          & ~ ( ! [X2] :
                  ( ordinal(X2)
                 => succ(X2) != X0 )
              & ~ being_limit_ordinal(X0) ) ) ),
    inference(rectify,[],[f55]) ).

fof(f55,negated_conjecture,
    ~ ! [X0] :
        ( ordinal(X0)
       => ( ~ ( being_limit_ordinal(X0)
              & ? [X1] :
                  ( succ(X1) = X0
                  & ordinal(X1) ) )
          & ~ ( ! [X1] :
                  ( ordinal(X1)
                 => succ(X1) != X0 )
              & ~ being_limit_ordinal(X0) ) ) ),
    inference(negated_conjecture,[],[f54]) ).

fof(f54,conjecture,
    ! [X0] :
      ( ordinal(X0)
     => ( ~ ( being_limit_ordinal(X0)
            & ? [X1] :
                ( succ(X1) = X0
                & ordinal(X1) ) )
        & ~ ( ! [X1] :
                ( ordinal(X1)
               => succ(X1) != X0 )
            & ~ being_limit_ordinal(X0) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t42_ordinal1) ).

fof(f3177,plain,
    ! [X0,X1] :
      ( powerset(X0) = succ(sK3(powerset(X0)))
      | ~ ordinal(powerset(X0))
      | ~ empty(X0)
      | ~ empty(X1)
      | powerset(X0) = X1 ),
    inference(duplicate_literal_removal,[],[f3176]) ).

fof(f3176,plain,
    ! [X0,X1] :
      ( powerset(X0) = succ(sK3(powerset(X0)))
      | ~ ordinal(powerset(X0))
      | ~ ordinal(powerset(X0))
      | ~ empty(X0)
      | ~ empty(X1)
      | powerset(X0) = X1 ),
    inference(resolution,[],[f3110,f2133]) ).

fof(f3179,plain,
    ! [X0] :
      ( succ(X0) = succ(sK3(succ(X0)))
      | ~ ordinal(X0) ),
    inference(subsumption_resolution,[],[f3175,f180]) ).

fof(f3175,plain,
    ! [X0] :
      ( succ(X0) = succ(sK3(succ(X0)))
      | ~ ordinal(succ(X0))
      | ~ ordinal(X0) ),
    inference(resolution,[],[f3110,f546]) ).

fof(f3110,plain,
    ! [X0] :
      ( being_limit_ordinal(X0)
      | succ(sK3(X0)) = X0
      | ~ ordinal(X0) ),
    inference(subsumption_resolution,[],[f3109,f182]) ).

fof(f3109,plain,
    ! [X0] :
      ( ~ ordinal(X0)
      | ~ ordinal(sK3(X0))
      | succ(sK3(X0)) = X0
      | being_limit_ordinal(X0) ),
    inference(subsumption_resolution,[],[f3107,f183]) ).

fof(f3107,plain,
    ! [X0] :
      ( ~ ordinal(X0)
      | ~ in(sK3(X0),X0)
      | ~ ordinal(sK3(X0))
      | succ(sK3(X0)) = X0
      | being_limit_ordinal(X0) ),
    inference(duplicate_literal_removal,[],[f3027]) ).

fof(f3027,plain,
    ! [X0] :
      ( ~ ordinal(X0)
      | ~ in(sK3(X0),X0)
      | ~ ordinal(sK3(X0))
      | succ(sK3(X0)) = X0
      | being_limit_ordinal(X0)
      | ~ ordinal(X0) ),
    inference(resolution,[],[f1409,f184]) ).

fof(f3156,plain,
    ! [X0] :
      ( ~ ordinal(sK4(succ(X0)))
      | sK4(succ(X0)) = succ(sK4(succ(X0)))
      | ~ in(X0,sK4(succ(X0)))
      | ~ ordinal(X0) ),
    inference(duplicate_literal_removal,[],[f3155]) ).

fof(f3155,plain,
    ! [X0] :
      ( ~ ordinal(sK4(succ(X0)))
      | sK4(succ(X0)) = succ(sK4(succ(X0)))
      | ~ in(X0,sK4(succ(X0)))
      | ~ ordinal(X0)
      | ~ ordinal(sK4(succ(X0))) ),
    inference(resolution,[],[f3108,f1632]) ).

fof(f3157,plain,
    ! [X0] :
      ( ~ ordinal(sK4(X0))
      | sK4(X0) = succ(sK4(X0))
      | ~ ordinal(X0)
      | ordinal_subset(sK4(X0),X0)
      | empty(X0) ),
    inference(duplicate_literal_removal,[],[f3154]) ).

fof(f3154,plain,
    ! [X0] :
      ( ~ ordinal(sK4(X0))
      | sK4(X0) = succ(sK4(X0))
      | ~ ordinal(X0)
      | ordinal_subset(sK4(X0),X0)
      | empty(X0)
      | ~ ordinal(sK4(X0)) ),
    inference(resolution,[],[f3108,f994]) ).

fof(f3158,plain,
    ! [X0] :
      ( ~ ordinal(sK3(succ(X0)))
      | sK3(succ(X0)) = succ(sK3(succ(X0)))
      | ~ in(X0,sK3(succ(X0)))
      | ~ ordinal(X0) ),
    inference(duplicate_literal_removal,[],[f3153]) ).

fof(f3153,plain,
    ! [X0] :
      ( ~ ordinal(sK3(succ(X0)))
      | sK3(succ(X0)) = succ(sK3(succ(X0)))
      | ~ in(X0,sK3(succ(X0)))
      | ~ ordinal(X0)
      | ~ ordinal(sK3(succ(X0))) ),
    inference(resolution,[],[f3108,f1627]) ).

fof(f3173,plain,
    ! [X0] :
      ( sK3(X0) = succ(sK3(X0))
      | ~ ordinal(X0)
      | ordinal_subset(sK3(X0),X0)
      | being_limit_ordinal(X0) ),
    inference(subsumption_resolution,[],[f3159,f182]) ).

fof(f3159,plain,
    ! [X0] :
      ( ~ ordinal(sK3(X0))
      | sK3(X0) = succ(sK3(X0))
      | ~ ordinal(X0)
      | ordinal_subset(sK3(X0),X0)
      | being_limit_ordinal(X0) ),
    inference(duplicate_literal_removal,[],[f3152]) ).

fof(f3152,plain,
    ! [X0] :
      ( ~ ordinal(sK3(X0))
      | sK3(X0) = succ(sK3(X0))
      | ~ ordinal(X0)
      | ordinal_subset(sK3(X0),X0)
      | being_limit_ordinal(X0)
      | ~ ordinal(sK3(X0)) ),
    inference(resolution,[],[f3108,f999]) ).

fof(f3146,plain,
    ! [X0] :
      ( ~ ordinal(powerset(X0))
      | powerset(X0) = succ(powerset(X0))
      | empty(powerset(X0))
      | ~ subset(powerset(X0),X0) ),
    inference(resolution,[],[f3108,f342]) ).

fof(f3165,plain,
    ! [X0] :
      ( ~ ordinal(succ(succ(X0)))
      | succ(succ(X0)) = succ(succ(succ(X0)))
      | in(X0,succ(succ(succ(succ(X0)))))
      | ~ ordinal(X0) ),
    inference(duplicate_literal_removal,[],[f3145]) ).

fof(f3145,plain,
    ! [X0] :
      ( ~ ordinal(succ(succ(X0)))
      | succ(succ(X0)) = succ(succ(succ(X0)))
      | in(X0,succ(succ(succ(succ(X0)))))
      | ~ ordinal(succ(succ(X0)))
      | ~ ordinal(X0) ),
    inference(resolution,[],[f3108,f715]) ).

fof(f3166,plain,
    ! [X0] :
      ( ~ ordinal(succ(succ(X0)))
      | succ(succ(X0)) = succ(succ(succ(X0)))
      | in(X0,succ(succ(succ(succ(X0)))))
      | ~ ordinal(X0) ),
    inference(duplicate_literal_removal,[],[f3144]) ).

fof(f3144,plain,
    ! [X0] :
      ( ~ ordinal(succ(succ(X0)))
      | succ(succ(X0)) = succ(succ(succ(X0)))
      | in(X0,succ(succ(succ(succ(X0)))))
      | ~ ordinal(X0)
      | ~ ordinal(succ(succ(X0))) ),
    inference(resolution,[],[f3108,f715]) ).

fof(f3167,plain,
    ! [X0] :
      ( ~ ordinal(succ(succ(X0)))
      | succ(succ(X0)) = succ(succ(succ(X0)))
      | ~ ordinal(X0)
      | element(X0,succ(succ(succ(X0)))) ),
    inference(duplicate_literal_removal,[],[f3143]) ).

fof(f3143,plain,
    ! [X0] :
      ( ~ ordinal(succ(succ(X0)))
      | succ(succ(X0)) = succ(succ(succ(X0)))
      | ~ ordinal(X0)
      | element(X0,succ(succ(succ(X0))))
      | ~ ordinal(succ(succ(X0))) ),
    inference(resolution,[],[f3108,f1956]) ).

fof(f3171,plain,
    ! [X0] :
      ( ~ ordinal(succ(X0))
      | succ(X0) = succ(succ(X0))
      | in(X0,succ(succ(X0))) ),
    inference(duplicate_literal_removal,[],[f3138]) ).

fof(f3138,plain,
    ! [X0] :
      ( ~ ordinal(succ(X0))
      | succ(X0) = succ(succ(X0))
      | in(X0,succ(succ(X0)))
      | ~ ordinal(succ(X0))
      | ~ ordinal(succ(X0)) ),
    inference(resolution,[],[f3108,f1055]) ).

fof(f3108,plain,
    ! [X0] :
      ( ~ in(X0,X0)
      | ~ ordinal(X0)
      | succ(X0) = X0 ),
    inference(duplicate_literal_removal,[],[f3026]) ).

fof(f3026,plain,
    ! [X0] :
      ( ~ ordinal(X0)
      | ~ in(X0,X0)
      | ~ ordinal(X0)
      | succ(X0) = X0 ),
    inference(resolution,[],[f1409,f281]) ).

fof(f3081,plain,
    ! [X0] :
      ( ~ ordinal(sK4(sK4(powerset(sK4(powerset(succ(X0)))))))
      | ~ in(X0,sK4(sK4(powerset(sK4(powerset(succ(X0)))))))
      | ~ ordinal(X0)
      | succ(X0) = sK4(sK4(powerset(sK4(powerset(succ(X0))))))
      | empty(sK4(powerset(sK4(powerset(succ(X0)))))) ),
    inference(resolution,[],[f1409,f2333]) ).

fof(f3079,plain,
    ! [X0,X1] :
      ( ~ ordinal(sK4(sK4(powerset(powerset(X0)))))
      | ~ in(X1,sK4(sK4(powerset(powerset(X0)))))
      | ~ ordinal(X1)
      | succ(X1) = sK4(sK4(powerset(powerset(X0))))
      | element(succ(X1),X0)
      | empty(sK4(powerset(powerset(X0)))) ),
    inference(resolution,[],[f1409,f461]) ).

fof(f3078,plain,
    ! [X0] :
      ( ~ ordinal(sK4(sK4(powerset(succ(X0)))))
      | ~ in(X0,sK4(sK4(powerset(succ(X0)))))
      | ~ ordinal(X0)
      | succ(X0) = sK4(sK4(powerset(succ(X0))))
      | empty(sK4(powerset(succ(X0)))) ),
    inference(resolution,[],[f1409,f490]) ).

fof(f3076,plain,
    ! [X0,X1] :
      ( ~ ordinal(sK4(powerset(X0)))
      | ~ in(X1,sK4(powerset(X0)))
      | ~ ordinal(X1)
      | succ(X1) = sK4(powerset(X0))
      | element(succ(X1),X0) ),
    inference(resolution,[],[f1409,f427]) ).

fof(f3135,plain,
    ! [X0,X1] :
      ( ~ ordinal(sK4(powerset(X0)))
      | ~ in(X1,sK4(powerset(X0)))
      | ~ ordinal(X1)
      | succ(X1) = sK4(powerset(X0))
      | ~ being_limit_ordinal(sK4(powerset(X0)))
      | element(succ(succ(X1)),X0) ),
    inference(subsumption_resolution,[],[f3082,f180]) ).

fof(f3082,plain,
    ! [X0,X1] :
      ( ~ ordinal(sK4(powerset(X0)))
      | ~ in(X1,sK4(powerset(X0)))
      | ~ ordinal(X1)
      | succ(X1) = sK4(powerset(X0))
      | ~ ordinal(succ(X1))
      | ~ being_limit_ordinal(sK4(powerset(X0)))
      | element(succ(succ(X1)),X0) ),
    inference(duplicate_literal_removal,[],[f3075]) ).

fof(f3075,plain,
    ! [X0,X1] :
      ( ~ ordinal(sK4(powerset(X0)))
      | ~ in(X1,sK4(powerset(X0)))
      | ~ ordinal(X1)
      | succ(X1) = sK4(powerset(X0))
      | ~ ordinal(succ(X1))
      | ~ being_limit_ordinal(sK4(powerset(X0)))
      | ~ ordinal(sK4(powerset(X0)))
      | element(succ(succ(X1)),X0) ),
    inference(resolution,[],[f1409,f533]) ).

fof(f3134,plain,
    ! [X0,X1] :
      ( ~ ordinal(sK4(succ(X0)))
      | ~ in(X1,sK4(succ(X0)))
      | ~ ordinal(X1)
      | succ(X1) = sK4(succ(X0))
      | ~ ordinal(X0)
      | ~ in(X0,succ(X1)) ),
    inference(subsumption_resolution,[],[f3074,f180]) ).

fof(f3074,plain,
    ! [X0,X1] :
      ( ~ ordinal(sK4(succ(X0)))
      | ~ in(X1,sK4(succ(X0)))
      | ~ ordinal(X1)
      | succ(X1) = sK4(succ(X0))
      | ~ ordinal(X0)
      | ~ ordinal(succ(X1))
      | ~ in(X0,succ(X1)) ),
    inference(resolution,[],[f1409,f1670]) ).

fof(f3133,plain,
    ! [X0] :
      ( ~ ordinal(sK4(succ(succ(X0))))
      | ~ in(X0,sK4(succ(succ(X0))))
      | ~ ordinal(X0)
      | succ(X0) = sK4(succ(succ(X0)))
      | ~ being_limit_ordinal(sK4(succ(succ(X0)))) ),
    inference(subsumption_resolution,[],[f3083,f180]) ).

fof(f3083,plain,
    ! [X0] :
      ( ~ ordinal(sK4(succ(succ(X0))))
      | ~ in(X0,sK4(succ(succ(X0))))
      | ~ ordinal(X0)
      | succ(X0) = sK4(succ(succ(X0)))
      | ~ being_limit_ordinal(sK4(succ(succ(X0))))
      | ~ ordinal(succ(X0)) ),
    inference(duplicate_literal_removal,[],[f3073]) ).

fof(f3073,plain,
    ! [X0] :
      ( ~ ordinal(sK4(succ(succ(X0))))
      | ~ in(X0,sK4(succ(succ(X0))))
      | ~ ordinal(X0)
      | succ(X0) = sK4(succ(succ(X0)))
      | ~ being_limit_ordinal(sK4(succ(succ(X0))))
      | ~ ordinal(sK4(succ(succ(X0))))
      | ~ ordinal(succ(X0)) ),
    inference(resolution,[],[f1409,f741]) ).

fof(f3132,plain,
    ! [X0,X1] :
      ( ~ ordinal(sK4(X0))
      | ~ in(X1,sK4(X0))
      | ~ ordinal(X1)
      | succ(X1) = sK4(X0)
      | ordinal_subset(succ(X1),X0)
      | empty(X0)
      | ~ ordinal(X0) ),
    inference(subsumption_resolution,[],[f3072,f180]) ).

fof(f3072,plain,
    ! [X0,X1] :
      ( ~ ordinal(sK4(X0))
      | ~ in(X1,sK4(X0))
      | ~ ordinal(X1)
      | succ(X1) = sK4(X0)
      | ordinal_subset(succ(X1),X0)
      | empty(X0)
      | ~ ordinal(succ(X1))
      | ~ ordinal(X0) ),
    inference(resolution,[],[f1409,f1059]) ).

fof(f3131,plain,
    ! [X0] :
      ( ~ ordinal(sK4(succ(X0)))
      | ~ in(X0,sK4(succ(X0)))
      | ~ ordinal(X0)
      | succ(X0) = sK4(succ(X0)) ),
    inference(subsumption_resolution,[],[f3071,f170]) ).

fof(f3071,plain,
    ! [X0] :
      ( ~ ordinal(sK4(succ(X0)))
      | ~ in(X0,sK4(succ(X0)))
      | ~ ordinal(X0)
      | succ(X0) = sK4(succ(X0))
      | empty(succ(X0)) ),
    inference(resolution,[],[f1409,f343]) ).

fof(f3130,plain,
    ! [X0] :
      ( ~ in(X0,sK3(sK4(powerset(succ(X0)))))
      | ~ ordinal(X0)
      | succ(X0) = sK3(sK4(powerset(succ(X0))))
      | being_limit_ordinal(sK4(powerset(succ(X0))))
      | ~ ordinal(sK4(powerset(succ(X0)))) ),
    inference(subsumption_resolution,[],[f3070,f182]) ).

fof(f3070,plain,
    ! [X0] :
      ( ~ ordinal(sK3(sK4(powerset(succ(X0)))))
      | ~ in(X0,sK3(sK4(powerset(succ(X0)))))
      | ~ ordinal(X0)
      | succ(X0) = sK3(sK4(powerset(succ(X0))))
      | being_limit_ordinal(sK4(powerset(succ(X0))))
      | ~ ordinal(sK4(powerset(succ(X0)))) ),
    inference(resolution,[],[f1409,f1783]) ).

fof(f3129,plain,
    ! [X0,X1] :
      ( ~ in(X1,sK3(powerset(X0)))
      | ~ ordinal(X1)
      | succ(X1) = sK3(powerset(X0))
      | element(succ(X1),X0)
      | being_limit_ordinal(powerset(X0))
      | ~ ordinal(powerset(X0)) ),
    inference(subsumption_resolution,[],[f3068,f182]) ).

fof(f3068,plain,
    ! [X0,X1] :
      ( ~ ordinal(sK3(powerset(X0)))
      | ~ in(X1,sK3(powerset(X0)))
      | ~ ordinal(X1)
      | succ(X1) = sK3(powerset(X0))
      | element(succ(X1),X0)
      | being_limit_ordinal(powerset(X0))
      | ~ ordinal(powerset(X0)) ),
    inference(resolution,[],[f1409,f447]) ).

fof(f3128,plain,
    ! [X0,X1] :
      ( ~ ordinal(sK3(succ(X0)))
      | ~ in(X1,sK3(succ(X0)))
      | ~ ordinal(X1)
      | succ(X1) = sK3(succ(X0))
      | ~ ordinal(X0)
      | ~ in(X0,succ(X1)) ),
    inference(subsumption_resolution,[],[f3067,f180]) ).

fof(f3067,plain,
    ! [X0,X1] :
      ( ~ ordinal(sK3(succ(X0)))
      | ~ in(X1,sK3(succ(X0)))
      | ~ ordinal(X1)
      | succ(X1) = sK3(succ(X0))
      | ~ ordinal(X0)
      | ~ ordinal(succ(X1))
      | ~ in(X0,succ(X1)) ),
    inference(resolution,[],[f1409,f1637]) ).

fof(f3127,plain,
    ! [X0] :
      ( ~ ordinal(sK3(succ(succ(X0))))
      | ~ in(X0,sK3(succ(succ(X0))))
      | ~ ordinal(X0)
      | ~ being_limit_ordinal(sK3(succ(succ(X0)))) ),
    inference(global_subsumption,[],[f158,f160,f162,f166,f177,f248,f156,f159,f167,f168,f169,f219,f220,f221,f222,f223,f224,f225,f227,f228,f229,f230,f241,f242,f243,f244,f246,f170,f198,f157,f155,f171,f175,f190,f191,f192,f196,f153,f172,f178,f179,f180,f189,f259,f260,f261,f262,f199,f216,f193,f201,f202,f203,f205,f281,f206,f154,f173,f182,f200,f286,f289,f292,f285,f300,f295,f207,f213,f323,f214,f215,f324,f183,f338,f204,f340,f343,f335,f184,f212,f218,f348,f352,f354,f361,f362,f363,f364,f355,f369,f370,f373,f368,f174,f349,f350,f353,f356,f208,f209,f210,f217,f427,f428,f342,f441,f429,f347,f449,f351,f421,f460,f432,f439,f450,f185,f459,f472,f471,f475,f476,f466,f492,f493,f494,f496,f501,f490,f186,f522,f181,f540,f541,f535,f538,f546,f521,f337,f553,f555,f556,f423,f393,f562,f563,f489,f577,f578,f579,f403,f588,f589,f590,f502,f610,f611,f612,f420,f641,f642,f636,f646,f644,f649,f657,f653,f651,f443,f679,f552,f686,f689,f691,f701,f693,f463,f702,f703,f704,f705,f682,f713,f707,f717,f710,f684,f724,f722,f526,f736,f733,f740,f745,f746,f719,f753,f755,f757,f750,f582,f664,f675,f769,f768,f390,f789,f770,f771,f787,f812,f813,f814,f815,f816,f817,f818,f790,f436,f838,f635,f853,f854,f542,f856,f431,f857,f858,f859,f865,f557,f884,f885,f886,f887,f735,f893,f901,f903,f905,f897,f837,f921,f922,f923,f924,f911,f920,f919,f917,f906,f932,f931,f852,f951,f447,f957,f958,f959,f955,f956,f734,f964,f811,f891,f982,f984,f986,f988,f977,f916,f989,f990,f991,f918,f995,f996,f997,f950,f1004,f499,f1009,f1010,f1011,f1012,f500,f1037,f1038,f1039,f1040,f933,f994,f1075,f1077,f1062,f1063,f1064,f1078,f1066,f1079,f1080,f1069,f1070,f1071,f1072,f999,f1099,f1103,f1087,f1088,f1089,f1106,f1107,f1108,f1094,f1095,f1096,f1097,f1101,f1115,f1105,f1120,f1119,f1002,f1130,f1129,f1007,f1203,f1202,f1137,f1138,f1139,f1199,f1205,f1206,f1145,f1146,f1198,f1196,f1192,f1191,f1162,f1163,f1164,f1188,f1207,f1208,f1170,f1171,f1187,f1185,f645,f1215,f1055,f1252,f1250,f1256,f1248,f1257,f1258,f1230,f1259,f1237,f1261,f1262,f1263,f1264,f1243,f1255,f1266,f1270,f1271,f1268,f1274,f1283,f1276,f1277,f1284,f1278,f1285,f1279,f1253,f1295,f1296,f1293,f1289,f1298,f1308,f1309,f1310,f1303,f1059,f1323,f1324,f1325,f1317,f1318,f1319,f1084,f1338,f1340,f1332,f1333,f1341,f1222,f1366,f1363,f1367,f1368,f1369,f1370,f1371,f1352,f1235,f1373,f1374,f1388,f1390,f1391,f1392,f1393,f1394,f1395,f1379,f1396,f1397,f1381,f1398,f1382,f647,f1408,f1404,f1387,f1411,f1422,f1420,f1423,f1424,f1413,f1440,f1438,f1441,f1442,f1443,f1431,f1419,f1444,f444,f1468,f1462,f1461,f1471,f1470,f1489,f1487,f1490,f1491,f1492,f1477,f1483,f1482,f462,f1493,f1494,f1495,f1497,f1498,f1500,f1501,f1499,f1503,f1504,f1505,f1506,f1507,f1508,f1509,f1510,f1511,f468,f1513,f1512,f1514,f741,f1526,f1525,f1527,f1528,f1529,f1521,f699,f1541,f1542,f1543,f1544,f1546,f1548,f1539,f844,f1579,f1578,f1580,f1581,f1582,f1555,f1556,f1583,f1584,f1585,f1560,f1577,f1576,f1575,f1574,f1572,f1569,f1571,f845,f1612,f1613,f1611,f1610,f1609,f1592,f1608,f1607,f1606,f1615,f1616,f1617,f1620,f1604,f1622,f1619,f1623,f1624,f1621,f1628,f1629,f1627,f1659,f1658,f1661,f1662,f1641,f1642,f1643,f1663,f1664,f1646,f1665,f1649,f1650,f1656,f1652,f1654,f1632,f1692,f1691,f1694,f1695,f1674,f1675,f1676,f1696,f1697,f1679,f1698,f1682,f1683,f1689,f1685,f1687,f1637,f1712,f1713,f1714,f1705,f1706,f1707,f1708,f1709,f1670,f1728,f1729,f1730,f1721,f1722,f1723,f1724,f1725,f530,f1734,f1741,f1736,f1737,f1614,f1763,f1764,f1766,f1768,f1770,f1771,f1750,f1772,f1774,f1775,f1777,f1754,f1778,f1779,f862,f1780,f1781,f1782,f1785,f1800,f1787,f1788,f1789,f1801,f1802,f1792,f1793,f1803,f1804,f1796,f1798,f495,f1808,f1809,f1810,f715,f1871,f1872,f1869,f1818,f1819,f1823,f1824,f1873,f1825,f1826,f1874,f1875,f1868,f1876,f1867,f1877,f1878,f1879,f1835,f1866,f1880,f1881,f1864,f1840,f1841,f1843,f1845,f1846,f1847,f1848,f1882,f1883,f1863,f1884,f1862,f1885,f1886,f1887,f1857,f1861,f1860,f1890,f1891,f1904,f1901,f1906,f1893,f1924,f1922,f1925,f1926,f1913,f1914,f1915,f1903,f1951,f1958,f1960,f1961,f1962,f1963,f1939,f1964,f1968,f1942,f1969,f1970,f1928,f1900,f1973,f529,f2007,f2008,f2009,f2010,f2005,f2011,f2004,f2012,f2013,f2003,f2014,f2015,f2016,f2017,f1985,f2018,f2002,f2001,f2019,f2020,f2021,f2022,f2023,f2025,f2026,f2027,f1996,f2028,f2029,f1998,f2030,f2031,f1956,f2062,f2063,f2064,f2065,f2060,f2036,f2037,f2041,f2042,f2066,f2043,f2044,f2067,f2046,f2068,f2059,f2069,f2070,f2071,f2058,f2072,f2073,f2074,f2055,f2057,f1959,f2039,f2101,f2077,f2102,f2099,f2103,f2104,f2105,f2083,f2106,f2107,f2085,f2086,f2087,f2088,f2089,f2108,f2109,f2092,f1975,f2110,f2132,f2131,f2134,f2135,f2120,f2121,f2125,f528,f2136,f2169,f2170,f2167,f2166,f2171,f2165,f2172,f2173,f2174,f2147,f2175,f2164,f2176,f2163,f2177,f2178,f2179,f2181,f2182,f2183,f2158,f2184,f2160,f2185,f2186,f788,f2187,f2188,f2189,f2190,f2191,f2192,f2193,f2194,f2195,f2196,f1467,f2204,f2203,f2205,f1533,f2223,f2224,f2225,f2226,f2228,f2230,f2232,f2233,f2234,f2235,f2215,f1568,f1573,f1783,f2250,f2251,f2252,f2253,f2254,f1797,f533,f2280,f2279,f2281,f2282,f2283,f2274,f2284,f2267,f2268,f2273,f2272,f580,f581,f2300,f2302,f2304,f1502,f2312,f2313,f2314,f2315,f2316,f2317,f2318,f2319,f2320,f2321,f1625,f2322,f2323,f2324,f2325,f1630,f2326,f2327,f2328,f2329,f1813,f2330,f2331,f2335,f2337,f2338,f2339,f2340,f2341,f2342,f2343,f2344,f2345,f2346,f2347,f2348,f2349,f2350,f2352,f2351,f2359,f2361,f2362,f2363,f2364,f2365,f2366,f2332,f2369,f2370,f2371,f2372,f2373,f2374,f2375,f2376,f2377,f2358,f2389,f2390,f2391,f2392,f2393,f2394,f2395,f2396,f2397,f461,f2406,f2407,f2408,f2409,f2410,f2411,f2412,f2413,f2414,f2415,f2416,f2417,f2418,f1821,f2444,f2420,f2445,f2442,f2446,f2447,f2448,f2426,f2449,f2428,f2429,f2430,f2431,f2432,f2450,f2451,f2435,f2238,f2465,f2463,f2462,f2466,f2467,f2240,f2480,f2478,f2481,f2482,f2483,f1074,f2505,f1076,f2512,f2511,f1098,f2528,f2534,f1905,f2557,f2555,f2558,f2559,f2561,f2562,f2563,f2565,f2567,f2568,f2569,f2571,f2552,f2333,f2575,f2576,f2577,f2578,f2579,f2459,f2589,f2475,f2595,f667,f1114,f2614,f2615,f2616,f2617,f2618,f2619,f2607,f2608,f2609,f2610,f2620,f2621,f1952,f2651,f2652,f2654,f2627,f2628,f2632,f2633,f2634,f2635,f2636,f2655,f2637,f2638,f2656,f2657,f2658,f2640,f2659,f2641,f2642,f2660,f2644,f2645,f2646,f2647,f2648,f2661,f2649,f2662,f1954,f1966,f2133,f2667,f2542,f2687,f2688,f2689,f2691,f2693,f2695,f2674,f2696,f2697,f2698,f2678,f765,f2700,f2702,f2704,f2709,f2703,f2701,f2705,f1212,f2753,f2706,f767,f1272,f2772,f1217,f2810,f2808,f2811,f2812,f2781,f2814,f2815,f2786,f2816,f2818,f2819,f2821,f2822,f2823,f2825,f2826,f2827,f2829,f2801,f2830,f2630,f2832,f2833,f2854,f2834,f2855,f2856,f2836,f2857,f2837,f2858,f2838,f2859,f2839,f2840,f2860,f2841,f2842,f2843,f2844,f2845,f2846,f2847,f2861,f2848,f2862,f2849,f2863,f2850,f1743,f1762,f2902,f2905,f2897,f2896,f2895,f2894,f2906,f2884,f2890,f2889,f2699,f2908,f2909,f2910,f2911,f2912,f2913,f2914,f2915,f2916,f2921,f2922,f2923,f2924,f2907,f2926,f2927,f2928,f2929,f2930,f2931,f2932,f2933,f2934,f2939,f2940,f2941,f2942,f2925,f2947,f1402,f2962,f2963,f2965,f2948,f2977,f2978,f2976,f2981,f2996,f2997,f3012,f3013,f2970,f3024,f3025,f1409,f3108,f3110,f3100,f3111,f3112,f3094,f3114,f3115,f3116,f3091,f3117,f3089,f3087,f3086,f3052,f3118,f3119,f3060,f3061,f3062,f3122,f3123,f3125,f3126]) ).

fof(f3126,plain,
    ! [X0] :
      ( ~ ordinal(sK3(succ(succ(X0))))
      | ~ in(X0,sK3(succ(succ(X0))))
      | ~ ordinal(X0)
      | succ(X0) = sK3(succ(succ(X0)))
      | ~ being_limit_ordinal(sK3(succ(succ(X0)))) ),
    inference(subsumption_resolution,[],[f3066,f180]) ).

fof(f3066,plain,
    ! [X0] :
      ( ~ ordinal(sK3(succ(succ(X0))))
      | ~ in(X0,sK3(succ(succ(X0))))
      | ~ ordinal(X0)
      | succ(X0) = sK3(succ(succ(X0)))
      | ~ being_limit_ordinal(sK3(succ(succ(X0))))
      | ~ ordinal(succ(X0)) ),
    inference(resolution,[],[f1409,f740]) ).

fof(f3125,plain,
    ! [X0,X1] :
      ( ~ in(X1,sK3(X0))
      | ~ ordinal(X1)
      | succ(X1) = sK3(X0)
      | ordinal_subset(succ(X1),X0)
      | being_limit_ordinal(X0)
      | ~ ordinal(X0) ),
    inference(subsumption_resolution,[],[f3124,f180]) ).

fof(f3124,plain,
    ! [X0,X1] :
      ( ~ in(X1,sK3(X0))
      | ~ ordinal(X1)
      | succ(X1) = sK3(X0)
      | ordinal_subset(succ(X1),X0)
      | being_limit_ordinal(X0)
      | ~ ordinal(succ(X1))
      | ~ ordinal(X0) ),
    inference(subsumption_resolution,[],[f3065,f182]) ).

fof(f3065,plain,
    ! [X0,X1] :
      ( ~ ordinal(sK3(X0))
      | ~ in(X1,sK3(X0))
      | ~ ordinal(X1)
      | succ(X1) = sK3(X0)
      | ordinal_subset(succ(X1),X0)
      | being_limit_ordinal(X0)
      | ~ ordinal(succ(X1))
      | ~ ordinal(X0) ),
    inference(resolution,[],[f1409,f1084]) ).

fof(f3123,plain,
    ! [X0,X1] :
      ( ~ in(X1,sK3(X0))
      | ~ ordinal(X1)
      | succ(X1) = sK3(X0)
      | being_limit_ordinal(X0)
      | ~ being_limit_ordinal(sK3(X0))
      | element(succ(X1),X0)
      | ~ ordinal(X0) ),
    inference(subsumption_resolution,[],[f3064,f182]) ).

fof(f3064,plain,
    ! [X0,X1] :
      ( ~ ordinal(sK3(X0))
      | ~ in(X1,sK3(X0))
      | ~ ordinal(X1)
      | succ(X1) = sK3(X0)
      | being_limit_ordinal(X0)
      | ~ being_limit_ordinal(sK3(X0))
      | element(succ(X1),X0)
      | ~ ordinal(X0) ),
    inference(resolution,[],[f1409,f1114]) ).

fof(f3122,plain,
    ! [X0] :
      ( ~ in(X0,sK3(succ(X0)))
      | ~ ordinal(X0)
      | succ(X0) = sK3(succ(X0)) ),
    inference(subsumption_resolution,[],[f3121,f546]) ).

fof(f3121,plain,
    ! [X0] :
      ( ~ in(X0,sK3(succ(X0)))
      | ~ ordinal(X0)
      | succ(X0) = sK3(succ(X0))
      | being_limit_ordinal(succ(X0)) ),
    inference(subsumption_resolution,[],[f3120,f180]) ).

fof(f3120,plain,
    ! [X0] :
      ( ~ in(X0,sK3(succ(X0)))
      | ~ ordinal(X0)
      | succ(X0) = sK3(succ(X0))
      | ~ ordinal(succ(X0))
      | being_limit_ordinal(succ(X0)) ),
    inference(subsumption_resolution,[],[f3063,f182]) ).

fof(f3063,plain,
    ! [X0] :
      ( ~ ordinal(sK3(succ(X0)))
      | ~ in(X0,sK3(succ(X0)))
      | ~ ordinal(X0)
      | succ(X0) = sK3(succ(X0))
      | ~ ordinal(succ(X0))
      | being_limit_ordinal(succ(X0)) ),
    inference(resolution,[],[f1409,f335]) ).

fof(f3062,plain,
    ! [X0,X1] :
      ( ~ ordinal(powerset(X0))
      | ~ in(X1,powerset(X0))
      | ~ ordinal(X1)
      | succ(X1) = powerset(X0)
      | subset(succ(X1),X0) ),
    inference(resolution,[],[f1409,f324]) ).

fof(f3061,plain,
    ! [X2,X0,X1] :
      ( ~ ordinal(powerset(X0))
      | ~ in(X1,powerset(X0))
      | ~ ordinal(X1)
      | succ(X1) = powerset(X0)
      | ~ in(X2,succ(X1))
      | ~ empty(X0) ),
    inference(resolution,[],[f1409,f350]) ).

fof(f3060,plain,
    ! [X2,X0,X1] :
      ( ~ ordinal(powerset(X0))
      | ~ in(X1,powerset(X0))
      | ~ ordinal(X1)
      | succ(X1) = powerset(X0)
      | ~ in(X2,succ(X1))
      | element(X2,X0) ),
    inference(resolution,[],[f1409,f429]) ).

fof(f3119,plain,
    ! [X2,X0,X1] :
      ( ~ in(X1,succ(X0))
      | ~ ordinal(X1)
      | succ(X0) = succ(X1)
      | element(succ(X1),X2)
      | ~ ordinal(X2)
      | ~ in(X0,X2)
      | ~ ordinal(X0) ),
    inference(subsumption_resolution,[],[f3056,f180]) ).

fof(f3056,plain,
    ! [X2,X0,X1] :
      ( ~ ordinal(succ(X0))
      | ~ in(X1,succ(X0))
      | ~ ordinal(X1)
      | succ(X0) = succ(X1)
      | element(succ(X1),X2)
      | ~ ordinal(X2)
      | ~ in(X0,X2)
      | ~ ordinal(X0) ),
    inference(resolution,[],[f1409,f845]) ).

fof(f3118,plain,
    ! [X2,X0,X1] :
      ( ~ in(X1,succ(X0))
      | ~ ordinal(X1)
      | succ(X0) = succ(X1)
      | ~ ordinal(X0)
      | ~ being_limit_ordinal(powerset(X2))
      | ~ ordinal(powerset(X2))
      | ~ in(X0,powerset(X2))
      | element(succ(X1),X2) ),
    inference(subsumption_resolution,[],[f3054,f180]) ).

fof(f3054,plain,
    ! [X2,X0,X1] :
      ( ~ ordinal(succ(X0))
      | ~ in(X1,succ(X0))
      | ~ ordinal(X1)
      | succ(X0) = succ(X1)
      | ~ ordinal(X0)
      | ~ being_limit_ordinal(powerset(X2))
      | ~ ordinal(powerset(X2))
      | ~ in(X0,powerset(X2))
      | element(succ(X1),X2) ),
    inference(resolution,[],[f1409,f528]) ).

fof(f3052,plain,
    ! [X0,X1] :
      ( ~ ordinal(X0)
      | ~ in(X1,X0)
      | ~ ordinal(X1)
      | succ(X1) = X0
      | ~ in(X0,succ(X1)) ),
    inference(resolution,[],[f1409,f205]) ).

fof(f3086,plain,
    ! [X2,X0,X1] :
      ( ~ ordinal(X0)
      | ~ in(X1,X0)
      | ~ ordinal(X1)
      | succ(X1) = X0
      | element(succ(X1),X2)
      | ~ ordinal(X2)
      | ordinal_subset(X2,X0) ),
    inference(duplicate_literal_removal,[],[f3050]) ).

fof(f3050,plain,
    ! [X2,X0,X1] :
      ( ~ ordinal(X0)
      | ~ in(X1,X0)
      | ~ ordinal(X1)
      | succ(X1) = X0
      | element(succ(X1),X2)
      | ~ ordinal(X2)
      | ~ ordinal(X0)
      | ordinal_subset(X2,X0) ),
    inference(resolution,[],[f1409,f837]) ).

fof(f3087,plain,
    ! [X2,X0,X1] :
      ( ~ ordinal(X0)
      | ~ in(X1,X0)
      | ~ ordinal(X1)
      | succ(X1) = X0
      | element(succ(X1),succ(X2))
      | ~ ordinal(X2)
      | in(X2,X0) ),
    inference(duplicate_literal_removal,[],[f3049]) ).

fof(f3049,plain,
    ! [X2,X0,X1] :
      ( ~ ordinal(X0)
      | ~ in(X1,X0)
      | ~ ordinal(X1)
      | succ(X1) = X0
      | element(succ(X1),succ(X2))
      | ~ ordinal(X0)
      | ~ ordinal(X2)
      | in(X2,X0) ),
    inference(resolution,[],[f1409,f844]) ).

fof(f3089,plain,
    ! [X0,X1] :
      ( ~ ordinal(sK4(X0))
      | ~ in(X1,sK4(X0))
      | ~ ordinal(X1)
      | succ(X1) = sK4(X0)
      | in(X1,X0)
      | empty(X0)
      | ~ ordinal(X0) ),
    inference(duplicate_literal_removal,[],[f3047]) ).

fof(f3047,plain,
    ! [X0,X1] :
      ( ~ ordinal(sK4(X0))
      | ~ in(X1,sK4(X0))
      | ~ ordinal(X1)
      | succ(X1) = sK4(X0)
      | in(X1,X0)
      | empty(X0)
      | ~ ordinal(X0)
      | ~ ordinal(X1) ),
    inference(resolution,[],[f1409,f2459]) ).

fof(f3117,plain,
    ! [X0,X1] :
      ( ~ in(X1,sK3(X0))
      | ~ ordinal(X1)
      | succ(X1) = sK3(X0)
      | in(X1,X0)
      | being_limit_ordinal(X0)
      | ~ ordinal(X0) ),
    inference(subsumption_resolution,[],[f3090,f182]) ).

fof(f3090,plain,
    ! [X0,X1] :
      ( ~ ordinal(sK3(X0))
      | ~ in(X1,sK3(X0))
      | ~ ordinal(X1)
      | succ(X1) = sK3(X0)
      | in(X1,X0)
      | being_limit_ordinal(X0)
      | ~ ordinal(X0) ),
    inference(duplicate_literal_removal,[],[f3046]) ).

fof(f3046,plain,
    ! [X0,X1] :
      ( ~ ordinal(sK3(X0))
      | ~ in(X1,sK3(X0))
      | ~ ordinal(X1)
      | succ(X1) = sK3(X0)
      | in(X1,X0)
      | being_limit_ordinal(X0)
      | ~ ordinal(X0)
      | ~ ordinal(X1) ),
    inference(resolution,[],[f1409,f2475]) ).

fof(f3091,plain,
    ! [X0,X1] :
      ( ~ ordinal(X0)
      | ~ in(succ(X1),X0)
      | ~ ordinal(succ(X1))
      | succ(succ(X1)) = X0
      | element(X1,X0) ),
    inference(duplicate_literal_removal,[],[f3045]) ).

fof(f3045,plain,
    ! [X0,X1] :
      ( ~ ordinal(X0)
      | ~ in(succ(X1),X0)
      | ~ ordinal(succ(X1))
      | succ(succ(X1)) = X0
      | ~ ordinal(X0)
      | element(X1,X0)
      | ~ ordinal(succ(X1)) ),
    inference(resolution,[],[f1409,f1614]) ).

fof(f3116,plain,
    ! [X0,X1] :
      ( ~ ordinal(X0)
      | ~ in(succ(X1),X0)
      | succ(succ(X1)) = X0
      | element(X1,succ(X0))
      | ~ ordinal(X1) ),
    inference(subsumption_resolution,[],[f3092,f180]) ).

fof(f3092,plain,
    ! [X0,X1] :
      ( ~ ordinal(X0)
      | ~ in(succ(X1),X0)
      | ~ ordinal(succ(X1))
      | succ(succ(X1)) = X0
      | element(X1,succ(X0))
      | ~ ordinal(X1) ),
    inference(duplicate_literal_removal,[],[f3044]) ).

fof(f3044,plain,
    ! [X0,X1] :
      ( ~ ordinal(X0)
      | ~ in(succ(X1),X0)
      | ~ ordinal(succ(X1))
      | succ(succ(X1)) = X0
      | element(X1,succ(X0))
      | ~ ordinal(X0)
      | ~ ordinal(X1) ),
    inference(resolution,[],[f1409,f2039]) ).

fof(f3115,plain,
    ! [X0,X1] :
      ( ~ ordinal(X0)
      | ~ in(succ(X1),X0)
      | succ(succ(X1)) = X0
      | ~ ordinal(X1)
      | in(X1,succ(succ(X0))) ),
    inference(subsumption_resolution,[],[f3093,f180]) ).

fof(f3093,plain,
    ! [X0,X1] :
      ( ~ ordinal(X0)
      | ~ in(succ(X1),X0)
      | ~ ordinal(succ(X1))
      | succ(succ(X1)) = X0
      | ~ ordinal(X1)
      | in(X1,succ(succ(X0))) ),
    inference(duplicate_literal_removal,[],[f3043]) ).

fof(f3043,plain,
    ! [X0,X1] :
      ( ~ ordinal(X0)
      | ~ in(succ(X1),X0)
      | ~ ordinal(succ(X1))
      | succ(succ(X1)) = X0
      | ~ ordinal(X0)
      | ~ ordinal(X1)
      | in(X1,succ(succ(X0))) ),
    inference(resolution,[],[f1409,f1821]) ).

fof(f3114,plain,
    ! [X0,X1] :
      ( ~ ordinal(X0)
      | ~ in(succ(X1),X0)
      | succ(succ(X1)) = X0
      | ~ ordinal(X1)
      | element(X1,succ(X0)) ),
    inference(subsumption_resolution,[],[f3113,f180]) ).

fof(f3113,plain,
    ! [X0,X1] :
      ( ~ ordinal(X0)
      | ~ in(succ(X1),X0)
      | succ(succ(X1)) = X0
      | ~ ordinal(X1)
      | element(X1,succ(X0))
      | ~ ordinal(succ(X0)) ),
    inference(subsumption_resolution,[],[f3042,f180]) ).

fof(f3042,plain,
    ! [X0,X1] :
      ( ~ ordinal(X0)
      | ~ in(succ(X1),X0)
      | ~ ordinal(succ(X1))
      | succ(succ(X1)) = X0
      | ~ ordinal(X1)
      | element(X1,succ(X0))
      | ~ ordinal(succ(X0)) ),
    inference(resolution,[],[f1409,f2630]) ).

fof(f3094,plain,
    ! [X0,X1] :
      ( ~ ordinal(X0)
      | ~ in(X1,X0)
      | ~ ordinal(X1)
      | succ(X1) = X0
      | in(X1,succ(X0)) ),
    inference(duplicate_literal_removal,[],[f3041]) ).

fof(f3041,plain,
    ! [X0,X1] :
      ( ~ ordinal(X0)
      | ~ in(X1,X0)
      | ~ ordinal(X1)
      | succ(X1) = X0
      | ~ ordinal(X0)
      | ~ ordinal(X1)
      | in(X1,succ(X0)) ),
    inference(resolution,[],[f1409,f682]) ).

fof(f3112,plain,
    ! [X0,X1] :
      ( ~ ordinal(X0)
      | ~ in(X1,X0)
      | ~ ordinal(X1)
      | succ(X1) = X0
      | in(X1,succ(X0)) ),
    inference(subsumption_resolution,[],[f3096,f180]) ).

fof(f3096,plain,
    ! [X0,X1] :
      ( ~ ordinal(X0)
      | ~ in(X1,X0)
      | ~ ordinal(X1)
      | succ(X1) = X0
      | ~ ordinal(succ(X1))
      | in(X1,succ(X0)) ),
    inference(duplicate_literal_removal,[],[f3039]) ).

fof(f3039,plain,
    ! [X0,X1] :
      ( ~ ordinal(X0)
      | ~ in(X1,X0)
      | ~ ordinal(X1)
      | succ(X1) = X0
      | ~ ordinal(X0)
      | ~ ordinal(succ(X1))
      | in(X1,succ(X0)) ),
    inference(resolution,[],[f1409,f1222]) ).

fof(f3111,plain,
    ! [X0,X1] :
      ( ~ ordinal(X0)
      | ~ in(X1,X0)
      | ~ ordinal(X1)
      | succ(X1) = X0
      | in(X1,succ(X0)) ),
    inference(subsumption_resolution,[],[f3097,f180]) ).

fof(f3097,plain,
    ! [X0,X1] :
      ( ~ ordinal(X0)
      | ~ in(X1,X0)
      | ~ ordinal(X1)
      | succ(X1) = X0
      | ~ ordinal(succ(X0))
      | in(X1,succ(X0)) ),
    inference(duplicate_literal_removal,[],[f3038]) ).

fof(f3038,plain,
    ! [X0,X1] :
      ( ~ ordinal(X0)
      | ~ in(X1,X0)
      | ~ ordinal(X1)
      | succ(X1) = X0
      | ~ ordinal(X1)
      | ~ ordinal(succ(X0))
      | in(X1,succ(X0)) ),
    inference(resolution,[],[f1409,f1235]) ).

fof(f3100,plain,
    ! [X0] :
      ( ~ ordinal(X0)
      | ~ in(succ(sK3(succ(X0))),X0)
      | ~ ordinal(succ(sK3(succ(X0))))
      | succ(succ(sK3(succ(X0)))) = X0 ),
    inference(duplicate_literal_removal,[],[f3035]) ).

fof(f3035,plain,
    ! [X0] :
      ( ~ ordinal(X0)
      | ~ in(succ(sK3(succ(X0))),X0)
      | ~ ordinal(succ(sK3(succ(X0))))
      | succ(succ(sK3(succ(X0)))) = X0
      | ~ ordinal(X0)
      | ~ ordinal(succ(sK3(succ(X0)))) ),
    inference(resolution,[],[f1409,f1533]) ).

fof(f1409,plain,
    ! [X0,X1] :
      ( in(succ(X0),X1)
      | ~ ordinal(X1)
      | ~ in(X0,X1)
      | ~ ordinal(X0)
      | succ(X0) = X1 ),
    inference(subsumption_resolution,[],[f1405,f178]) ).

fof(f1405,plain,
    ! [X0,X1] :
      ( succ(X0) = X1
      | ~ ordinal(X1)
      | ~ in(X0,X1)
      | ~ ordinal(X0)
      | in(succ(X0),X1)
      | ~ epsilon_transitive(succ(X0)) ),
    inference(duplicate_literal_removal,[],[f1401]) ).

fof(f1401,plain,
    ! [X0,X1] :
      ( succ(X0) = X1
      | ~ ordinal(X1)
      | ~ in(X0,X1)
      | ~ ordinal(X0)
      | in(succ(X0),X1)
      | ~ ordinal(X1)
      | ~ epsilon_transitive(succ(X0)) ),
    inference(resolution,[],[f647,f174]) ).

fof(f3025,plain,
    ! [X0] :
      ( succ(X0) = empty_set
      | ~ empty(X0)
      | in(empty_set,succ(X0)) ),
    inference(global_subsumption,[],[f158,f160,f162,f166,f177,f248,f156,f159,f167,f168,f169,f219,f220,f221,f222,f223,f224,f225,f227,f228,f229,f230,f241,f242,f243,f244,f246,f170,f198,f157,f155,f171,f175,f190,f191,f192,f196,f153,f172,f178,f179,f180,f189,f259,f260,f261,f262,f199,f216,f193,f201,f202,f203,f205,f281,f206,f154,f173,f182,f200,f286,f289,f292,f285,f300,f295,f207,f213,f323,f214,f215,f324,f183,f338,f204,f340,f343,f335,f184,f212,f218,f348,f352,f354,f361,f362,f363,f364,f355,f369,f370,f373,f368,f174,f349,f350,f353,f356,f208,f209,f210,f217,f427,f428,f342,f441,f429,f347,f449,f351,f421,f460,f432,f439,f450,f185,f459,f472,f471,f475,f476,f466,f492,f493,f494,f496,f501,f490,f186,f522,f181,f540,f541,f535,f538,f546,f521,f337,f553,f555,f556,f423,f393,f562,f563,f489,f577,f578,f579,f403,f588,f589,f590,f502,f610,f611,f612,f420,f641,f642,f636,f646,f644,f649,f657,f653,f651,f443,f679,f552,f686,f689,f691,f701,f693,f463,f702,f703,f704,f705,f682,f713,f707,f717,f710,f684,f724,f722,f526,f736,f733,f740,f745,f746,f719,f753,f755,f757,f750,f582,f664,f675,f769,f768,f390,f789,f770,f771,f787,f812,f813,f814,f815,f816,f817,f818,f790,f436,f838,f635,f853,f854,f542,f856,f431,f857,f858,f859,f865,f557,f884,f885,f886,f887,f735,f893,f901,f903,f905,f897,f837,f921,f922,f923,f924,f911,f920,f919,f917,f906,f932,f931,f852,f951,f447,f957,f958,f959,f955,f956,f734,f964,f811,f891,f982,f984,f986,f988,f977,f916,f989,f990,f991,f918,f995,f996,f997,f950,f1004,f499,f1009,f1010,f1011,f1012,f500,f1037,f1038,f1039,f1040,f933,f994,f1075,f1077,f1062,f1063,f1064,f1078,f1066,f1079,f1080,f1069,f1070,f1071,f1072,f999,f1099,f1103,f1087,f1088,f1089,f1106,f1107,f1108,f1094,f1095,f1096,f1097,f1101,f1115,f1105,f1120,f1119,f1002,f1130,f1129,f1007,f1203,f1202,f1137,f1138,f1139,f1199,f1205,f1206,f1145,f1146,f1198,f1196,f1192,f1191,f1162,f1163,f1164,f1188,f1207,f1208,f1170,f1171,f1187,f1185,f645,f1215,f1055,f1252,f1250,f1256,f1248,f1257,f1258,f1230,f1259,f1237,f1261,f1262,f1263,f1264,f1243,f1255,f1266,f1270,f1271,f1268,f1274,f1283,f1276,f1277,f1284,f1278,f1285,f1279,f1253,f1295,f1296,f1293,f1289,f1298,f1308,f1309,f1310,f1303,f1059,f1323,f1324,f1325,f1317,f1318,f1319,f1084,f1338,f1340,f1332,f1333,f1341,f1222,f1366,f1363,f1367,f1368,f1369,f1370,f1371,f1352,f1235,f1373,f1374,f1388,f1390,f1391,f1392,f1393,f1394,f1395,f1379,f1396,f1397,f1381,f1398,f1382,f647,f1408,f1409,f1404,f1387,f1411,f1422,f1420,f1423,f1424,f1413,f1440,f1438,f1441,f1442,f1443,f1431,f1419,f1444,f444,f1468,f1462,f1461,f1471,f1470,f1489,f1487,f1490,f1491,f1492,f1477,f1483,f1482,f462,f1493,f1494,f1495,f1497,f1498,f1500,f1501,f1499,f1503,f1504,f1505,f1506,f1507,f1508,f1509,f1510,f1511,f468,f1513,f1512,f1514,f741,f1526,f1525,f1527,f1528,f1529,f1521,f699,f1541,f1542,f1543,f1544,f1546,f1548,f1539,f844,f1579,f1578,f1580,f1581,f1582,f1555,f1556,f1583,f1584,f1585,f1560,f1577,f1576,f1575,f1574,f1572,f1569,f1571,f845,f1612,f1613,f1611,f1610,f1609,f1592,f1608,f1607,f1606,f1615,f1616,f1617,f1620,f1604,f1622,f1619,f1623,f1624,f1621,f1628,f1629,f1627,f1659,f1658,f1661,f1662,f1641,f1642,f1643,f1663,f1664,f1646,f1665,f1649,f1650,f1656,f1652,f1654,f1632,f1692,f1691,f1694,f1695,f1674,f1675,f1676,f1696,f1697,f1679,f1698,f1682,f1683,f1689,f1685,f1687,f1637,f1712,f1713,f1714,f1705,f1706,f1707,f1708,f1709,f1670,f1728,f1729,f1730,f1721,f1722,f1723,f1724,f1725,f530,f1734,f1741,f1736,f1737,f1614,f1763,f1764,f1766,f1768,f1770,f1771,f1750,f1772,f1774,f1775,f1777,f1754,f1778,f1779,f862,f1780,f1781,f1782,f1785,f1800,f1787,f1788,f1789,f1801,f1802,f1792,f1793,f1803,f1804,f1796,f1798,f495,f1808,f1809,f1810,f715,f1871,f1872,f1869,f1818,f1819,f1823,f1824,f1873,f1825,f1826,f1874,f1875,f1868,f1876,f1867,f1877,f1878,f1879,f1835,f1866,f1880,f1881,f1864,f1840,f1841,f1843,f1845,f1846,f1847,f1848,f1882,f1883,f1863,f1884,f1862,f1885,f1886,f1887,f1857,f1861,f1860,f1890,f1891,f1904,f1901,f1906,f1893,f1924,f1922,f1925,f1926,f1913,f1914,f1915,f1903,f1951,f1958,f1960,f1961,f1962,f1963,f1939,f1964,f1968,f1942,f1969,f1970,f1928,f1900,f1973,f529,f2007,f2008,f2009,f2010,f2005,f2011,f2004,f2012,f2013,f2003,f2014,f2015,f2016,f2017,f1985,f2018,f2002,f2001,f2019,f2020,f2021,f2022,f2023,f2025,f2026,f2027,f1996,f2028,f2029,f1998,f2030,f2031,f1956,f2062,f2063,f2064,f2065,f2060,f2036,f2037,f2041,f2042,f2066,f2043,f2044,f2067,f2046,f2068,f2059,f2069,f2070,f2071,f2058,f2072,f2073,f2074,f2055,f2057,f1959,f2039,f2101,f2077,f2102,f2099,f2103,f2104,f2105,f2083,f2106,f2107,f2085,f2086,f2087,f2088,f2089,f2108,f2109,f2092,f1975,f2110,f2132,f2131,f2134,f2135,f2120,f2121,f2125,f528,f2136,f2169,f2170,f2167,f2166,f2171,f2165,f2172,f2173,f2174,f2147,f2175,f2164,f2176,f2163,f2177,f2178,f2179,f2181,f2182,f2183,f2158,f2184,f2160,f2185,f2186,f788,f2187,f2188,f2189,f2190,f2191,f2192,f2193,f2194,f2195,f2196,f1467,f2204,f2203,f2205,f1533,f2223,f2224,f2225,f2226,f2228,f2230,f2232,f2233,f2234,f2235,f2215,f1568,f1573,f1783,f2250,f2251,f2252,f2253,f2254,f1797,f533,f2280,f2279,f2281,f2282,f2283,f2274,f2284,f2267,f2268,f2273,f2272,f580,f581,f2300,f2302,f2304,f1502,f2312,f2313,f2314,f2315,f2316,f2317,f2318,f2319,f2320,f2321,f1625,f2322,f2323,f2324,f2325,f1630,f2326,f2327,f2328,f2329,f1813,f2330,f2331,f2335,f2337,f2338,f2339,f2340,f2341,f2342,f2343,f2344,f2345,f2346,f2347,f2348,f2349,f2350,f2352,f2351,f2359,f2361,f2362,f2363,f2364,f2365,f2366,f2332,f2369,f2370,f2371,f2372,f2373,f2374,f2375,f2376,f2377,f2358,f2389,f2390,f2391,f2392,f2393,f2394,f2395,f2396,f2397,f461,f2406,f2407,f2408,f2409,f2410,f2411,f2412,f2413,f2414,f2415,f2416,f2417,f2418,f1821,f2444,f2420,f2445,f2442,f2446,f2447,f2448,f2426,f2449,f2428,f2429,f2430,f2431,f2432,f2450,f2451,f2435,f2238,f2465,f2463,f2462,f2466,f2467,f2240,f2480,f2478,f2481,f2482,f2483,f1074,f2505,f1076,f2512,f2511,f1098,f2528,f2534,f1905,f2557,f2555,f2558,f2559,f2561,f2562,f2563,f2565,f2567,f2568,f2569,f2571,f2552,f2333,f2575,f2576,f2577,f2578,f2579,f2459,f2589,f2475,f2595,f667,f1114,f2614,f2615,f2616,f2617,f2618,f2619,f2607,f2608,f2609,f2610,f2620,f2621,f1952,f2651,f2652,f2654,f2627,f2628,f2632,f2633,f2634,f2635,f2636,f2655,f2637,f2638,f2656,f2657,f2658,f2640,f2659,f2641,f2642,f2660,f2644,f2645,f2646,f2647,f2648,f2661,f2649,f2662,f1954,f1966,f2133,f2667,f2542,f2687,f2688,f2689,f2691,f2693,f2695,f2674,f2696,f2697,f2698,f2678,f765,f2700,f2702,f2704,f2709,f2703,f2701,f2705,f1212,f2753,f2706,f767,f1272,f2772,f1217,f2810,f2808,f2811,f2812,f2781,f2814,f2815,f2786,f2816,f2818,f2819,f2821,f2822,f2823,f2825,f2826,f2827,f2829,f2801,f2830,f2630,f2832,f2833,f2854,f2834,f2855,f2856,f2836,f2857,f2837,f2858,f2838,f2859,f2839,f2840,f2860,f2841,f2842,f2843,f2844,f2845,f2846,f2847,f2861,f2848,f2862,f2849,f2863,f2850,f1743,f1762,f2902,f2905,f2897,f2896,f2895,f2894,f2906,f2884,f2890,f2889,f2699,f2908,f2909,f2910,f2911,f2912,f2913,f2914,f2915,f2916,f2921,f2922,f2923,f2924,f2907,f2926,f2927,f2928,f2929,f2930,f2931,f2932,f2933,f2934,f2939,f2940,f2941,f2942,f2925,f2947,f1402,f2962,f2963,f2965,f2948,f2977,f2978,f2976,f2981,f2996,f2997,f3012,f3013,f2970,f3024]) ).

fof(f3024,plain,
    ! [X0] :
      ( ~ ordinal(succ(X0))
      | succ(X0) = empty_set
      | ~ empty(X0)
      | in(empty_set,succ(X0)) ),
    inference(subsumption_resolution,[],[f3022,f169]) ).

fof(f3022,plain,
    ! [X0] :
      ( ~ ordinal(succ(X0))
      | succ(X0) = empty_set
      | ~ empty(X0)
      | ~ ordinal(empty_set)
      | in(empty_set,succ(X0)) ),
    inference(duplicate_literal_removal,[],[f3015]) ).

fof(f3015,plain,
    ! [X0] :
      ( ~ ordinal(succ(X0))
      | succ(X0) = empty_set
      | ~ empty(X0)
      | succ(X0) = empty_set
      | ~ ordinal(empty_set)
      | ~ ordinal(succ(X0))
      | in(empty_set,succ(X0)) ),
    inference(resolution,[],[f2970,f950]) ).

fof(f2970,plain,
    ! [X0] :
      ( ~ proper_subset(succ(X0),empty_set)
      | ~ ordinal(succ(X0))
      | succ(X0) = empty_set
      | ~ empty(X0) ),
    inference(resolution,[],[f2948,f203]) ).

fof(f3013,plain,
    ! [X0] :
      ( empty_set = succ(sK4(succ(X0)))
      | ~ empty(sK4(succ(X0)))
      | ~ in(X0,empty_set)
      | ~ ordinal(X0) ),
    inference(subsumption_resolution,[],[f2994,f169]) ).

fof(f2994,plain,
    ! [X0] :
      ( empty_set = succ(sK4(succ(X0)))
      | ~ empty(sK4(succ(X0)))
      | ~ in(X0,empty_set)
      | ~ ordinal(X0)
      | ~ ordinal(empty_set) ),
    inference(resolution,[],[f2981,f1632]) ).

fof(f3012,plain,
    ! [X0] :
      ( empty_set = succ(sK4(X0))
      | ~ empty(sK4(X0))
      | ~ ordinal(X0)
      | ordinal_subset(empty_set,X0)
      | empty(X0) ),
    inference(subsumption_resolution,[],[f2993,f169]) ).

fof(f2993,plain,
    ! [X0] :
      ( empty_set = succ(sK4(X0))
      | ~ empty(sK4(X0))
      | ~ ordinal(X0)
      | ordinal_subset(empty_set,X0)
      | empty(X0)
      | ~ ordinal(empty_set) ),
    inference(resolution,[],[f2981,f994]) ).

fof(f2997,plain,
    ! [X0] :
      ( empty_set = succ(sK3(succ(X0)))
      | ~ empty(sK3(succ(X0)))
      | ~ in(X0,empty_set)
      | ~ ordinal(X0) ),
    inference(subsumption_resolution,[],[f2988,f169]) ).

fof(f2988,plain,
    ! [X0] :
      ( empty_set = succ(sK3(succ(X0)))
      | ~ empty(sK3(succ(X0)))
      | ~ in(X0,empty_set)
      | ~ ordinal(X0)
      | ~ ordinal(empty_set) ),
    inference(resolution,[],[f2981,f1627]) ).

fof(f2996,plain,
    ! [X0] :
      ( empty_set = succ(sK3(X0))
      | ~ empty(sK3(X0))
      | ~ ordinal(X0)
      | ordinal_subset(empty_set,X0)
      | being_limit_ordinal(X0) ),
    inference(subsumption_resolution,[],[f2987,f169]) ).

fof(f2987,plain,
    ! [X0] :
      ( empty_set = succ(sK3(X0))
      | ~ empty(sK3(X0))
      | ~ ordinal(X0)
      | ordinal_subset(empty_set,X0)
      | being_limit_ordinal(X0)
      | ~ ordinal(empty_set) ),
    inference(resolution,[],[f2981,f999]) ).

fof(f2981,plain,
    ! [X0] :
      ( ~ in(X0,empty_set)
      | succ(X0) = empty_set
      | ~ empty(X0) ),
    inference(subsumption_resolution,[],[f2979,f192]) ).

fof(f2979,plain,
    ! [X0] :
      ( ~ empty(X0)
      | succ(X0) = empty_set
      | ~ in(X0,empty_set)
      | ~ ordinal(X0) ),
    inference(resolution,[],[f2976,f180]) ).

fof(f2976,plain,
    ! [X0] :
      ( ~ ordinal(succ(X0))
      | ~ empty(X0)
      | succ(X0) = empty_set
      | ~ in(X0,empty_set) ),
    inference(subsumption_resolution,[],[f2975,f192]) ).

fof(f2975,plain,
    ! [X0] :
      ( ~ empty(X0)
      | ~ ordinal(succ(X0))
      | succ(X0) = empty_set
      | ~ in(X0,empty_set)
      | ~ ordinal(X0) ),
    inference(subsumption_resolution,[],[f2974,f169]) ).

fof(f2974,plain,
    ! [X0] :
      ( ~ empty(X0)
      | ~ ordinal(succ(X0))
      | succ(X0) = empty_set
      | ~ ordinal(empty_set)
      | ~ in(X0,empty_set)
      | ~ ordinal(X0) ),
    inference(duplicate_literal_removal,[],[f2966]) ).

fof(f2966,plain,
    ! [X0] :
      ( ~ empty(X0)
      | ~ ordinal(succ(X0))
      | succ(X0) = empty_set
      | ~ ordinal(empty_set)
      | ~ in(X0,empty_set)
      | ~ ordinal(X0)
      | succ(X0) = empty_set ),
    inference(resolution,[],[f2948,f1402]) ).

fof(f2978,plain,
    ! [X0] :
      ( ~ empty(X0)
      | ~ ordinal(succ(X0))
      | succ(X0) = empty_set
      | in(empty_set,succ(X0)) ),
    inference(subsumption_resolution,[],[f2971,f167]) ).

fof(f2971,plain,
    ! [X0] :
      ( ~ empty(X0)
      | ~ ordinal(succ(X0))
      | succ(X0) = empty_set
      | in(empty_set,succ(X0))
      | ~ epsilon_transitive(empty_set) ),
    inference(duplicate_literal_removal,[],[f2969]) ).

fof(f2969,plain,
    ! [X0] :
      ( ~ empty(X0)
      | ~ ordinal(succ(X0))
      | succ(X0) = empty_set
      | in(empty_set,succ(X0))
      | ~ ordinal(succ(X0))
      | ~ epsilon_transitive(empty_set) ),
    inference(resolution,[],[f2948,f174]) ).

fof(f2977,plain,
    ! [X0] :
      ( ~ empty(X0)
      | ~ ordinal(succ(X0))
      | succ(X0) = empty_set
      | in(empty_set,succ(X0)) ),
    inference(subsumption_resolution,[],[f2973,f169]) ).

fof(f2973,plain,
    ! [X0] :
      ( ~ empty(X0)
      | ~ ordinal(succ(X0))
      | succ(X0) = empty_set
      | ~ ordinal(empty_set)
      | in(empty_set,succ(X0)) ),
    inference(duplicate_literal_removal,[],[f2967]) ).

fof(f2967,plain,
    ! [X0] :
      ( ~ empty(X0)
      | ~ ordinal(succ(X0))
      | succ(X0) = empty_set
      | ~ ordinal(empty_set)
      | ~ ordinal(succ(X0))
      | in(empty_set,succ(X0))
      | succ(X0) = empty_set ),
    inference(resolution,[],[f2948,f1002]) ).

fof(f2948,plain,
    ! [X0] :
      ( proper_subset(empty_set,succ(X0))
      | ~ empty(X0)
      | ~ ordinal(succ(X0))
      | succ(X0) = empty_set ),
    inference(subsumption_resolution,[],[f2946,f169]) ).

fof(f2946,plain,
    ! [X0] :
      ( succ(X0) = empty_set
      | ~ empty(X0)
      | ~ ordinal(succ(X0))
      | ~ ordinal(empty_set)
      | proper_subset(empty_set,succ(X0)) ),
    inference(duplicate_literal_removal,[],[f2944]) ).

fof(f2944,plain,
    ! [X0] :
      ( succ(X0) = empty_set
      | ~ empty(X0)
      | ~ ordinal(succ(X0))
      | ~ ordinal(empty_set)
      | succ(X0) = empty_set
      | proper_subset(empty_set,succ(X0)) ),
    inference(resolution,[],[f2925,f420]) ).

fof(f2965,plain,
    ! [X0,X1] :
      ( ~ in(X1,succ(X0))
      | ~ ordinal(X1)
      | succ(X0) = succ(X1)
      | ~ in(X0,succ(X1))
      | ~ ordinal(X0) ),
    inference(subsumption_resolution,[],[f2964,f180]) ).

fof(f2964,plain,
    ! [X0,X1] :
      ( ~ in(X1,succ(X0))
      | ~ ordinal(X1)
      | succ(X0) = succ(X1)
      | ~ ordinal(succ(X1))
      | ~ in(X0,succ(X1))
      | ~ ordinal(X0) ),
    inference(subsumption_resolution,[],[f2956,f180]) ).

fof(f2956,plain,
    ! [X0,X1] :
      ( ~ ordinal(succ(X0))
      | ~ in(X1,succ(X0))
      | ~ ordinal(X1)
      | succ(X0) = succ(X1)
      | ~ ordinal(succ(X1))
      | ~ in(X0,succ(X1))
      | ~ ordinal(X0) ),
    inference(duplicate_literal_removal,[],[f2955]) ).

fof(f2955,plain,
    ! [X0,X1] :
      ( ~ ordinal(succ(X0))
      | ~ in(X1,succ(X0))
      | ~ ordinal(X1)
      | succ(X0) = succ(X1)
      | succ(X0) = succ(X1)
      | ~ ordinal(succ(X1))
      | ~ in(X0,succ(X1))
      | ~ ordinal(X0) ),
    inference(resolution,[],[f1402,f647]) ).

fof(f2963,plain,
    ! [X0,X1] :
      ( ~ ordinal(X0)
      | ~ in(X1,X0)
      | ~ ordinal(X1)
      | succ(X1) = X0
      | in(succ(X1),X0) ),
    inference(subsumption_resolution,[],[f2960,f180]) ).

fof(f2960,plain,
    ! [X0,X1] :
      ( ~ ordinal(X0)
      | ~ in(X1,X0)
      | ~ ordinal(X1)
      | succ(X1) = X0
      | ~ ordinal(succ(X1))
      | in(succ(X1),X0) ),
    inference(duplicate_literal_removal,[],[f2951]) ).

fof(f2951,plain,
    ! [X0,X1] :
      ( ~ ordinal(X0)
      | ~ in(X1,X0)
      | ~ ordinal(X1)
      | succ(X1) = X0
      | succ(X1) = X0
      | ~ ordinal(succ(X1))
      | ~ ordinal(X0)
      | in(succ(X1),X0) ),
    inference(resolution,[],[f1402,f950]) ).

fof(f2962,plain,
    ! [X0] :
      ( ~ ordinal(sK4(powerset(succ(X0))))
      | ~ in(X0,sK4(powerset(succ(X0))))
      | ~ ordinal(X0)
      | succ(X0) = sK4(powerset(succ(X0))) ),
    inference(duplicate_literal_removal,[],[f2949]) ).

fof(f2949,plain,
    ! [X0] :
      ( ~ ordinal(sK4(powerset(succ(X0))))
      | ~ in(X0,sK4(powerset(succ(X0))))
      | ~ ordinal(X0)
      | succ(X0) = sK4(powerset(succ(X0)))
      | succ(X0) = sK4(powerset(succ(X0))) ),
    inference(resolution,[],[f1402,f347]) ).

fof(f1402,plain,
    ! [X0,X1] :
      ( ~ proper_subset(X1,succ(X0))
      | ~ ordinal(X1)
      | ~ in(X0,X1)
      | ~ ordinal(X0)
      | succ(X0) = X1 ),
    inference(resolution,[],[f647,f203]) ).

fof(f2947,plain,
    ! [X0,X1] :
      ( succ(X0) = empty_set
      | ~ empty(X0)
      | element(X1,succ(X0))
      | ~ in(X1,empty_set)
      | ~ ordinal(succ(X0)) ),
    inference(subsumption_resolution,[],[f2943,f169]) ).

fof(f2943,plain,
    ! [X0,X1] :
      ( succ(X0) = empty_set
      | ~ empty(X0)
      | element(X1,succ(X0))
      | ~ in(X1,empty_set)
      | ~ ordinal(succ(X0))
      | ~ ordinal(empty_set) ),
    inference(resolution,[],[f2925,f436]) ).

fof(f2925,plain,
    ! [X0] :
      ( ordinal_subset(empty_set,succ(X0))
      | succ(X0) = empty_set
      | ~ empty(X0) ),
    inference(resolution,[],[f2907,f159]) ).

fof(f2942,plain,
    ! [X0] :
      ( succ(X0) = empty_set
      | ordinal_subset(empty_set,succ(X0))
      | ~ empty(X0) ),
    inference(forward_demodulation,[],[f2938,f262]) ).

fof(f2938,plain,
    ! [X0] :
      ( ordinal_subset(empty_set,succ(X0))
      | succ(X0) = sK16
      | ~ empty(X0) ),
    inference(resolution,[],[f2907,f246]) ).

fof(f2941,plain,
    ! [X0] :
      ( succ(X0) = empty_set
      | ordinal_subset(empty_set,succ(X0))
      | ~ empty(X0) ),
    inference(forward_demodulation,[],[f2937,f261]) ).

fof(f2937,plain,
    ! [X0] :
      ( ordinal_subset(empty_set,succ(X0))
      | succ(X0) = sK15
      | ~ empty(X0) ),
    inference(resolution,[],[f2907,f241]) ).

fof(f2940,plain,
    ! [X0] :
      ( succ(X0) = empty_set
      | ordinal_subset(empty_set,succ(X0))
      | ~ empty(X0) ),
    inference(forward_demodulation,[],[f2936,f260]) ).

fof(f2936,plain,
    ! [X0] :
      ( ordinal_subset(empty_set,succ(X0))
      | succ(X0) = sK10
      | ~ empty(X0) ),
    inference(resolution,[],[f2907,f230]) ).

fof(f2939,plain,
    ! [X0] :
      ( succ(X0) = empty_set
      | ordinal_subset(empty_set,succ(X0))
      | ~ empty(X0) ),
    inference(forward_demodulation,[],[f2935,f259]) ).

fof(f2935,plain,
    ! [X0] :
      ( ordinal_subset(empty_set,succ(X0))
      | succ(X0) = sK6
      | ~ empty(X0) ),
    inference(resolution,[],[f2907,f220]) ).

fof(f2934,plain,
    ! [X0,X1] :
      ( ordinal_subset(empty_set,succ(X0))
      | succ(X0) = sK4(sK4(powerset(powerset(X1))))
      | ~ empty(X0)
      | empty(sK4(powerset(powerset(X1))))
      | ~ empty(X1) ),
    inference(resolution,[],[f2907,f1499]) ).

fof(f2933,plain,
    ! [X0,X1] :
      ( ordinal_subset(empty_set,succ(X0))
      | succ(X0) = sK4(powerset(sK4(powerset(sK4(powerset(X1))))))
      | ~ empty(X0)
      | ~ empty(X1) ),
    inference(resolution,[],[f2907,f2351]) ).

fof(f2932,plain,
    ! [X0,X1] :
      ( ordinal_subset(empty_set,succ(X0))
      | succ(X0) = sK4(powerset(sK4(powerset(X1))))
      | ~ empty(X0)
      | ~ empty(X1) ),
    inference(resolution,[],[f2907,f496]) ).

fof(f2931,plain,
    ! [X2,X0,X1] :
      ( ordinal_subset(empty_set,succ(X0))
      | succ(X0) = sK4(powerset(sK4(powerset(X1))))
      | ~ empty(X0)
      | ordinal_subset(X2,X1)
      | ~ empty(X2)
      | ~ ordinal(X1) ),
    inference(resolution,[],[f2907,f2332]) ).

fof(f2930,plain,
    ! [X0,X1] :
      ( ordinal_subset(empty_set,succ(X0))
      | succ(X0) = sK4(powerset(sK3(powerset(X1))))
      | ~ empty(X0)
      | being_limit_ordinal(powerset(X1))
      | ~ ordinal(powerset(X1))
      | ~ empty(X1) ),
    inference(resolution,[],[f2907,f788]) ).

fof(f2929,plain,
    ! [X0,X1] :
      ( ordinal_subset(empty_set,succ(X0))
      | succ(X0) = sK4(powerset(powerset(X1)))
      | ~ empty(X0)
      | ~ empty(X1)
      | empty_set = sK4(sK4(powerset(powerset(X1)))) ),
    inference(resolution,[],[f2907,f1502]) ).

fof(f2928,plain,
    ! [X0,X1] :
      ( ordinal_subset(empty_set,succ(X0))
      | succ(X0) = sK4(powerset(X1))
      | ~ empty(X0)
      | ~ empty(X1) ),
    inference(resolution,[],[f2907,f352]) ).

fof(f2927,plain,
    ! [X2,X0,X1] :
      ( ordinal_subset(empty_set,succ(X0))
      | succ(X0) = sK4(powerset(X1))
      | ~ empty(X0)
      | ordinal_subset(X2,X1)
      | ~ empty(X2)
      | ~ ordinal(X1) ),
    inference(resolution,[],[f2907,f489]) ).

fof(f2926,plain,
    ! [X0,X1] :
      ( ordinal_subset(empty_set,succ(X0))
      | succ(X0) = sK3(powerset(X1))
      | ~ empty(X0)
      | being_limit_ordinal(powerset(X1))
      | ~ ordinal(powerset(X1))
      | ~ empty(X1) ),
    inference(resolution,[],[f2907,f787]) ).

fof(f2907,plain,
    ! [X0,X1] :
      ( ~ empty(X1)
      | ordinal_subset(empty_set,succ(X0))
      | succ(X0) = X1
      | ~ empty(X0) ),
    inference(resolution,[],[f2699,f159]) ).

fof(f2924,plain,
    ! [X0,X1] :
      ( ordinal_subset(empty_set,succ(X0))
      | succ(X0) = X1
      | ~ empty(X1)
      | ~ empty(X0) ),
    inference(forward_demodulation,[],[f2920,f262]) ).

fof(f2920,plain,
    ! [X0,X1] :
      ( succ(X0) = X1
      | ordinal_subset(sK16,succ(X0))
      | ~ empty(X1)
      | ~ empty(X0) ),
    inference(resolution,[],[f2699,f246]) ).

fof(f2923,plain,
    ! [X0,X1] :
      ( ordinal_subset(empty_set,succ(X0))
      | succ(X0) = X1
      | ~ empty(X1)
      | ~ empty(X0) ),
    inference(forward_demodulation,[],[f2919,f261]) ).

fof(f2919,plain,
    ! [X0,X1] :
      ( succ(X0) = X1
      | ordinal_subset(sK15,succ(X0))
      | ~ empty(X1)
      | ~ empty(X0) ),
    inference(resolution,[],[f2699,f241]) ).

fof(f2922,plain,
    ! [X0,X1] :
      ( ordinal_subset(empty_set,succ(X0))
      | succ(X0) = X1
      | ~ empty(X1)
      | ~ empty(X0) ),
    inference(forward_demodulation,[],[f2918,f260]) ).

fof(f2918,plain,
    ! [X0,X1] :
      ( succ(X0) = X1
      | ordinal_subset(sK10,succ(X0))
      | ~ empty(X1)
      | ~ empty(X0) ),
    inference(resolution,[],[f2699,f230]) ).

fof(f2921,plain,
    ! [X0,X1] :
      ( ordinal_subset(empty_set,succ(X0))
      | succ(X0) = X1
      | ~ empty(X1)
      | ~ empty(X0) ),
    inference(forward_demodulation,[],[f2917,f259]) ).

fof(f2917,plain,
    ! [X0,X1] :
      ( succ(X0) = X1
      | ordinal_subset(sK6,succ(X0))
      | ~ empty(X1)
      | ~ empty(X0) ),
    inference(resolution,[],[f2699,f220]) ).

fof(f2916,plain,
    ! [X2,X0,X1] :
      ( succ(X0) = X1
      | ordinal_subset(sK4(sK4(powerset(powerset(X2)))),succ(X0))
      | ~ empty(X1)
      | ~ empty(X0)
      | empty(sK4(powerset(powerset(X2))))
      | ~ empty(X2) ),
    inference(resolution,[],[f2699,f1499]) ).

fof(f2915,plain,
    ! [X2,X0,X1] :
      ( succ(X0) = X1
      | ordinal_subset(sK4(powerset(sK4(powerset(sK4(powerset(X2)))))),succ(X0))
      | ~ empty(X1)
      | ~ empty(X0)
      | ~ empty(X2) ),
    inference(resolution,[],[f2699,f2351]) ).

fof(f2914,plain,
    ! [X2,X0,X1] :
      ( succ(X0) = X1
      | ordinal_subset(sK4(powerset(sK4(powerset(X2)))),succ(X0))
      | ~ empty(X1)
      | ~ empty(X0)
      | ~ empty(X2) ),
    inference(resolution,[],[f2699,f496]) ).

fof(f2913,plain,
    ! [X2,X3,X0,X1] :
      ( succ(X0) = X1
      | ordinal_subset(sK4(powerset(sK4(powerset(X2)))),succ(X0))
      | ~ empty(X1)
      | ~ empty(X0)
      | ordinal_subset(X3,X2)
      | ~ empty(X3)
      | ~ ordinal(X2) ),
    inference(resolution,[],[f2699,f2332]) ).

fof(f2912,plain,
    ! [X2,X0,X1] :
      ( succ(X0) = X1
      | ordinal_subset(sK4(powerset(sK3(powerset(X2)))),succ(X0))
      | ~ empty(X1)
      | ~ empty(X0)
      | being_limit_ordinal(powerset(X2))
      | ~ ordinal(powerset(X2))
      | ~ empty(X2) ),
    inference(resolution,[],[f2699,f788]) ).

fof(f2911,plain,
    ! [X2,X0,X1] :
      ( succ(X0) = X1
      | ordinal_subset(sK4(powerset(powerset(X2))),succ(X0))
      | ~ empty(X1)
      | ~ empty(X0)
      | ~ empty(X2)
      | empty_set = sK4(sK4(powerset(powerset(X2)))) ),
    inference(resolution,[],[f2699,f1502]) ).

fof(f2910,plain,
    ! [X2,X0,X1] :
      ( succ(X0) = X1
      | ordinal_subset(sK4(powerset(X2)),succ(X0))
      | ~ empty(X1)
      | ~ empty(X0)
      | ~ empty(X2) ),
    inference(resolution,[],[f2699,f352]) ).

fof(f2909,plain,
    ! [X2,X3,X0,X1] :
      ( succ(X0) = X1
      | ordinal_subset(sK4(powerset(X2)),succ(X0))
      | ~ empty(X1)
      | ~ empty(X0)
      | ordinal_subset(X3,X2)
      | ~ empty(X3)
      | ~ ordinal(X2) ),
    inference(resolution,[],[f2699,f489]) ).

fof(f2908,plain,
    ! [X2,X0,X1] :
      ( succ(X0) = X1
      | ordinal_subset(sK3(powerset(X2)),succ(X0))
      | ~ empty(X1)
      | ~ empty(X0)
      | being_limit_ordinal(powerset(X2))
      | ~ ordinal(powerset(X2))
      | ~ empty(X2) ),
    inference(resolution,[],[f2699,f787]) ).

fof(f2699,plain,
    ! [X2,X0,X1] :
      ( ~ empty(X2)
      | succ(X0) = X1
      | ordinal_subset(X2,succ(X0))
      | ~ empty(X1)
      | ~ empty(X0) ),
    inference(resolution,[],[f765,f192]) ).

fof(f2889,plain,
    ! [X0,X1] :
      ( element(X0,X1)
      | ~ ordinal(succ(X0))
      | ~ ordinal(X1)
      | ~ being_limit_ordinal(X1)
      | in(X1,succ(X0))
      | succ(X0) = X1 ),
    inference(duplicate_literal_removal,[],[f2886]) ).

fof(f2886,plain,
    ! [X0,X1] :
      ( element(X0,X1)
      | ~ ordinal(succ(X0))
      | ~ ordinal(X1)
      | ~ being_limit_ordinal(X1)
      | in(X1,succ(X0))
      | ~ ordinal(X1)
      | ~ ordinal(succ(X0))
      | succ(X0) = X1 ),
    inference(resolution,[],[f1762,f1007]) ).

fof(f2890,plain,
    ! [X0,X1] :
      ( element(X0,X1)
      | ~ ordinal(succ(X0))
      | ~ ordinal(X1)
      | ~ being_limit_ordinal(X1)
      | in(X1,succ(X0))
      | succ(X0) = X1 ),
    inference(duplicate_literal_removal,[],[f2885]) ).

fof(f2885,plain,
    ! [X0,X1] :
      ( element(X0,X1)
      | ~ ordinal(succ(X0))
      | ~ ordinal(X1)
      | ~ being_limit_ordinal(X1)
      | in(X1,succ(X0))
      | ~ ordinal(succ(X0))
      | ~ ordinal(X1)
      | succ(X0) = X1 ),
    inference(resolution,[],[f1762,f1007]) ).

fof(f2884,plain,
    ! [X0,X1] :
      ( element(X0,powerset(X1))
      | ~ ordinal(succ(X0))
      | ~ ordinal(powerset(X1))
      | ~ being_limit_ordinal(powerset(X1))
      | empty(powerset(X1))
      | ~ subset(succ(X0),X1) ),
    inference(resolution,[],[f1762,f342]) ).

fof(f2906,plain,
    ! [X0] :
      ( element(X0,succ(succ(succ(succ(X0)))))
      | ~ ordinal(succ(X0))
      | ~ ordinal(succ(succ(succ(succ(X0)))))
      | ~ being_limit_ordinal(succ(succ(succ(succ(X0))))) ),
    inference(subsumption_resolution,[],[f2880,f180]) ).

fof(f2880,plain,
    ! [X0] :
      ( element(X0,succ(succ(succ(succ(X0)))))
      | ~ ordinal(succ(X0))
      | ~ ordinal(succ(succ(succ(succ(X0)))))
      | ~ being_limit_ordinal(succ(succ(succ(succ(X0)))))
      | ~ ordinal(succ(succ(X0))) ),
    inference(resolution,[],[f1762,f1255]) ).

fof(f2894,plain,
    ! [X0] :
      ( element(X0,succ(succ(succ(succ(X0)))))
      | ~ ordinal(succ(X0))
      | ~ ordinal(succ(succ(succ(succ(X0)))))
      | ~ being_limit_ordinal(succ(succ(succ(succ(X0))))) ),
    inference(duplicate_literal_removal,[],[f2879]) ).

fof(f2879,plain,
    ! [X0] :
      ( element(X0,succ(succ(succ(succ(X0)))))
      | ~ ordinal(succ(X0))
      | ~ ordinal(succ(succ(succ(succ(X0)))))
      | ~ being_limit_ordinal(succ(succ(succ(succ(X0)))))
      | ~ ordinal(succ(X0)) ),
    inference(resolution,[],[f1762,f1387]) ).

fof(f2895,plain,
    ! [X0,X1] :
      ( element(X0,succ(succ(X1)))
      | ~ ordinal(succ(X0))
      | ~ ordinal(succ(succ(X1)))
      | ~ being_limit_ordinal(succ(succ(X1)))
      | in(X1,succ(succ(succ(X0))))
      | ~ ordinal(X1) ),
    inference(duplicate_literal_removal,[],[f2878]) ).

fof(f2878,plain,
    ! [X0,X1] :
      ( element(X0,succ(succ(X1)))
      | ~ ordinal(succ(X0))
      | ~ ordinal(succ(succ(X1)))
      | ~ being_limit_ordinal(succ(succ(X1)))
      | in(X1,succ(succ(succ(X0))))
      | ~ ordinal(succ(X0))
      | ~ ordinal(X1) ),
    inference(resolution,[],[f1762,f715]) ).

fof(f2896,plain,
    ! [X0,X1] :
      ( element(X0,succ(succ(X1)))
      | ~ ordinal(succ(X0))
      | ~ ordinal(succ(succ(X1)))
      | ~ being_limit_ordinal(succ(succ(X1)))
      | in(X1,succ(succ(succ(X0))))
      | ~ ordinal(X1) ),
    inference(duplicate_literal_removal,[],[f2877]) ).

fof(f2877,plain,
    ! [X0,X1] :
      ( element(X0,succ(succ(X1)))
      | ~ ordinal(succ(X0))
      | ~ ordinal(succ(succ(X1)))
      | ~ being_limit_ordinal(succ(succ(X1)))
      | in(X1,succ(succ(succ(X0))))
      | ~ ordinal(X1)
      | ~ ordinal(succ(X0)) ),
    inference(resolution,[],[f1762,f715]) ).

fof(f2897,plain,
    ! [X0,X1] :
      ( element(X0,succ(succ(X1)))
      | ~ ordinal(succ(X0))
      | ~ ordinal(succ(succ(X1)))
      | ~ being_limit_ordinal(succ(succ(X1)))
      | ~ ordinal(X1)
      | element(X1,succ(succ(X0))) ),
    inference(duplicate_literal_removal,[],[f2876]) ).

fof(f2876,plain,
    ! [X0,X1] :
      ( element(X0,succ(succ(X1)))
      | ~ ordinal(succ(X0))
      | ~ ordinal(succ(succ(X1)))
      | ~ being_limit_ordinal(succ(succ(X1)))
      | ~ ordinal(X1)
      | element(X1,succ(succ(X0)))
      | ~ ordinal(succ(X0)) ),
    inference(resolution,[],[f1762,f1956]) ).

fof(f2905,plain,
    ! [X0,X1] :
      ( element(X0,succ(succ(X1)))
      | ~ ordinal(succ(X0))
      | ~ ordinal(succ(succ(X1)))
      | ~ being_limit_ordinal(succ(succ(X1)))
      | ~ ordinal(X1)
      | element(X1,succ(succ(X0))) ),
    inference(subsumption_resolution,[],[f2875,f180]) ).

fof(f2875,plain,
    ! [X0,X1] :
      ( element(X0,succ(succ(X1)))
      | ~ ordinal(succ(X0))
      | ~ ordinal(succ(succ(X1)))
      | ~ being_limit_ordinal(succ(succ(X1)))
      | ~ ordinal(succ(succ(X0)))
      | ~ ordinal(X1)
      | element(X1,succ(succ(X0))) ),
    inference(resolution,[],[f1762,f1952]) ).

fof(f2902,plain,
    ! [X0,X1] :
      ( element(X0,succ(X1))
      | ~ ordinal(succ(X0))
      | ~ ordinal(succ(X1))
      | ~ being_limit_ordinal(succ(X1))
      | in(X1,succ(succ(X0))) ),
    inference(duplicate_literal_removal,[],[f2869]) ).

fof(f2869,plain,
    ! [X0,X1] :
      ( element(X0,succ(X1))
      | ~ ordinal(succ(X0))
      | ~ ordinal(succ(X1))
      | ~ being_limit_ordinal(succ(X1))
      | in(X1,succ(succ(X0)))
      | ~ ordinal(succ(X0))
      | ~ ordinal(succ(X1)) ),
    inference(resolution,[],[f1762,f1055]) ).

fof(f1762,plain,
    ! [X0,X1] :
      ( ~ in(succ(X1),X0)
      | element(X1,X0)
      | ~ ordinal(succ(X1))
      | ~ ordinal(X0)
      | ~ being_limit_ordinal(X0) ),
    inference(duplicate_literal_removal,[],[f1742]) ).

fof(f1742,plain,
    ! [X0,X1] :
      ( ~ ordinal(X0)
      | element(X1,X0)
      | ~ ordinal(succ(X1))
      | ~ in(succ(X1),X0)
      | ~ ordinal(succ(X1))
      | ~ being_limit_ordinal(X0)
      | ~ ordinal(X0) ),
    inference(resolution,[],[f1614,f181]) ).

fof(f1743,plain,
    ! [X0] :
      ( element(X0,succ(succ(succ(X0))))
      | ~ ordinal(succ(succ(succ(X0))))
      | ~ ordinal(succ(X0)) ),
    inference(resolution,[],[f1614,f171]) ).

fof(f2850,plain,
    ! [X0,X1] :
      ( ~ ordinal(X0)
      | element(X0,succ(powerset(X1)))
      | ~ ordinal(succ(powerset(X1)))
      | empty(powerset(X1))
      | ~ subset(succ(succ(X0)),X1) ),
    inference(resolution,[],[f2630,f342]) ).

fof(f2863,plain,
    ! [X0] :
      ( ~ ordinal(X0)
      | element(X0,succ(succ(succ(sK3(succ(succ(succ(X0))))))))
      | ~ ordinal(succ(sK3(succ(succ(succ(X0))))))
      | ~ ordinal(succ(succ(X0))) ),
    inference(global_subsumption,[],[f158,f160,f162,f166,f177,f248,f156,f159,f167,f168,f169,f219,f220,f221,f222,f223,f224,f225,f227,f228,f229,f230,f241,f242,f243,f244,f246,f170,f198,f157,f155,f171,f175,f190,f191,f192,f196,f153,f172,f178,f179,f180,f189,f259,f260,f261,f262,f199,f216,f193,f201,f202,f203,f205,f281,f206,f154,f173,f182,f200,f286,f289,f292,f285,f300,f295,f207,f213,f323,f214,f215,f324,f183,f338,f204,f340,f343,f335,f184,f212,f218,f348,f352,f354,f361,f362,f363,f364,f355,f369,f370,f373,f368,f174,f349,f350,f353,f356,f208,f209,f210,f217,f427,f428,f342,f441,f429,f347,f449,f351,f421,f460,f432,f439,f450,f185,f459,f472,f471,f475,f476,f466,f492,f493,f494,f496,f501,f490,f186,f522,f181,f540,f541,f535,f538,f546,f521,f337,f553,f555,f556,f423,f393,f562,f563,f489,f577,f578,f579,f403,f588,f589,f590,f502,f610,f611,f612,f420,f641,f642,f636,f646,f644,f649,f657,f653,f651,f443,f679,f552,f686,f689,f691,f701,f693,f463,f702,f703,f704,f705,f682,f713,f707,f717,f710,f684,f724,f722,f526,f736,f733,f740,f745,f746,f719,f753,f755,f757,f750,f582,f664,f675,f769,f768,f390,f789,f770,f771,f787,f812,f813,f814,f815,f816,f817,f818,f790,f436,f838,f635,f853,f854,f542,f856,f431,f857,f858,f859,f865,f557,f884,f885,f886,f887,f735,f893,f901,f903,f905,f897,f837,f921,f922,f923,f924,f911,f920,f919,f917,f906,f932,f931,f852,f951,f447,f957,f958,f959,f955,f956,f734,f964,f811,f891,f982,f984,f986,f988,f977,f916,f989,f990,f991,f918,f995,f996,f997,f950,f1004,f499,f1009,f1010,f1011,f1012,f500,f1037,f1038,f1039,f1040,f933,f994,f1075,f1077,f1062,f1063,f1064,f1078,f1066,f1079,f1080,f1069,f1070,f1071,f1072,f999,f1099,f1103,f1087,f1088,f1089,f1106,f1107,f1108,f1094,f1095,f1096,f1097,f1101,f1115,f1105,f1120,f1119,f1002,f1130,f1129,f1007,f1203,f1202,f1137,f1138,f1139,f1199,f1205,f1206,f1145,f1146,f1198,f1196,f1192,f1191,f1162,f1163,f1164,f1188,f1207,f1208,f1170,f1171,f1187,f1185,f645,f1215,f1055,f1252,f1250,f1256,f1248,f1257,f1258,f1230,f1259,f1237,f1261,f1262,f1263,f1264,f1243,f1255,f1266,f1270,f1271,f1268,f1274,f1283,f1276,f1277,f1284,f1278,f1285,f1279,f1253,f1295,f1296,f1293,f1289,f1298,f1308,f1309,f1310,f1303,f1059,f1323,f1324,f1325,f1317,f1318,f1319,f1084,f1338,f1340,f1332,f1333,f1341,f1222,f1366,f1363,f1367,f1368,f1369,f1370,f1371,f1352,f1235,f1373,f1374,f1388,f1390,f1391,f1392,f1393,f1394,f1395,f1379,f1396,f1397,f1381,f1398,f1382,f647,f1408,f1409,f1402,f1404,f1387,f1411,f1422,f1420,f1423,f1424,f1413,f1440,f1438,f1441,f1442,f1443,f1431,f1419,f1444,f444,f1468,f1462,f1461,f1471,f1470,f1489,f1487,f1490,f1491,f1492,f1477,f1483,f1482,f462,f1493,f1494,f1495,f1497,f1498,f1500,f1501,f1499,f1503,f1504,f1505,f1506,f1507,f1508,f1509,f1510,f1511,f468,f1513,f1512,f1514,f741,f1526,f1525,f1527,f1528,f1529,f1521,f699,f1541,f1542,f1543,f1544,f1546,f1548,f1539,f844,f1579,f1578,f1580,f1581,f1582,f1555,f1556,f1583,f1584,f1585,f1560,f1577,f1576,f1575,f1574,f1572,f1569,f1571,f845,f1612,f1613,f1611,f1610,f1609,f1592,f1608,f1607,f1606,f1615,f1616,f1617,f1620,f1604,f1622,f1619,f1623,f1624,f1621,f1628,f1629,f1627,f1659,f1658,f1661,f1662,f1641,f1642,f1643,f1663,f1664,f1646,f1665,f1649,f1650,f1656,f1652,f1654,f1632,f1692,f1691,f1694,f1695,f1674,f1675,f1676,f1696,f1697,f1679,f1698,f1682,f1683,f1689,f1685,f1687,f1637,f1712,f1713,f1714,f1705,f1706,f1707,f1708,f1709,f1670,f1728,f1729,f1730,f1721,f1722,f1723,f1724,f1725,f530,f1734,f1741,f1736,f1737,f1614,f1762,f1743,f1763,f1764,f1766,f1768,f1770,f1771,f1750,f1772,f1774,f1775,f1777,f1754,f1778,f1779,f862,f1780,f1781,f1782,f1785,f1800,f1787,f1788,f1789,f1801,f1802,f1792,f1793,f1803,f1804,f1796,f1798,f495,f1808,f1809,f1810,f715,f1871,f1872,f1869,f1818,f1819,f1823,f1824,f1873,f1825,f1826,f1874,f1875,f1868,f1876,f1867,f1877,f1878,f1879,f1835,f1866,f1880,f1881,f1864,f1840,f1841,f1843,f1845,f1846,f1847,f1848,f1882,f1883,f1863,f1884,f1862,f1885,f1886,f1887,f1857,f1861,f1860,f1890,f1891,f1904,f1901,f1906,f1893,f1924,f1922,f1925,f1926,f1913,f1914,f1915,f1903,f1951,f1958,f1960,f1961,f1962,f1963,f1939,f1964,f1968,f1942,f1969,f1970,f1928,f1900,f1973,f529,f2007,f2008,f2009,f2010,f2005,f2011,f2004,f2012,f2013,f2003,f2014,f2015,f2016,f2017,f1985,f2018,f2002,f2001,f2019,f2020,f2021,f2022,f2023,f2025,f2026,f2027,f1996,f2028,f2029,f1998,f2030,f2031,f1956,f2062,f2063,f2064,f2065,f2060,f2036,f2037,f2041,f2042,f2066,f2043,f2044,f2067,f2046,f2068,f2059,f2069,f2070,f2071,f2058,f2072,f2073,f2074,f2055,f2057,f1959,f2039,f2101,f2077,f2102,f2099,f2103,f2104,f2105,f2083,f2106,f2107,f2085,f2086,f2087,f2088,f2089,f2108,f2109,f2092,f1975,f2110,f2132,f2131,f2134,f2135,f2120,f2121,f2125,f528,f2136,f2169,f2170,f2167,f2166,f2171,f2165,f2172,f2173,f2174,f2147,f2175,f2164,f2176,f2163,f2177,f2178,f2179,f2181,f2182,f2183,f2158,f2184,f2160,f2185,f2186,f788,f2187,f2188,f2189,f2190,f2191,f2192,f2193,f2194,f2195,f2196,f1467,f2204,f2203,f2205,f1533,f2223,f2224,f2225,f2226,f2228,f2230,f2232,f2233,f2234,f2235,f2215,f1568,f1573,f1783,f2250,f2251,f2252,f2253,f2254,f1797,f533,f2280,f2279,f2281,f2282,f2283,f2274,f2284,f2267,f2268,f2273,f2272,f580,f581,f2300,f2302,f2304,f1502,f2312,f2313,f2314,f2315,f2316,f2317,f2318,f2319,f2320,f2321,f1625,f2322,f2323,f2324,f2325,f1630,f2326,f2327,f2328,f2329,f1813,f2330,f2331,f2335,f2337,f2338,f2339,f2340,f2341,f2342,f2343,f2344,f2345,f2346,f2347,f2348,f2349,f2350,f2352,f2351,f2359,f2361,f2362,f2363,f2364,f2365,f2366,f2332,f2369,f2370,f2371,f2372,f2373,f2374,f2375,f2376,f2377,f2358,f2389,f2390,f2391,f2392,f2393,f2394,f2395,f2396,f2397,f461,f2406,f2407,f2408,f2409,f2410,f2411,f2412,f2413,f2414,f2415,f2416,f2417,f2418,f1821,f2444,f2420,f2445,f2442,f2446,f2447,f2448,f2426,f2449,f2428,f2429,f2430,f2431,f2432,f2450,f2451,f2435,f2238,f2465,f2463,f2462,f2466,f2467,f2240,f2480,f2478,f2481,f2482,f2483,f1074,f2505,f1076,f2512,f2511,f1098,f2528,f2534,f1905,f2557,f2555,f2558,f2559,f2561,f2562,f2563,f2565,f2567,f2568,f2569,f2571,f2552,f2333,f2575,f2576,f2577,f2578,f2579,f2459,f2589,f2475,f2595,f667,f1114,f2614,f2615,f2616,f2617,f2618,f2619,f2607,f2608,f2609,f2610,f2620,f2621,f1952,f2651,f2652,f2654,f2627,f2628,f2632,f2633,f2634,f2635,f2636,f2655,f2637,f2638,f2656,f2657,f2658,f2640,f2659,f2641,f2642,f2660,f2644,f2645,f2646,f2647,f2648,f2661,f2649,f2662,f1954,f1966,f2133,f2667,f2542,f2687,f2688,f2689,f2691,f2693,f2695,f2674,f2696,f2697,f2698,f2678,f765,f2699,f2700,f2702,f2704,f2709,f2703,f2701,f2705,f1212,f2753,f2706,f767,f1272,f2772,f1217,f2810,f2808,f2811,f2812,f2781,f2814,f2815,f2786,f2816,f2818,f2819,f2821,f2822,f2823,f2825,f2826,f2827,f2829,f2801,f2830,f2630,f2832,f2833,f2854,f2834,f2855,f2856,f2836,f2857,f2837,f2858,f2838,f2859,f2839,f2840,f2860,f2841,f2842,f2843,f2844,f2845,f2846,f2847,f2861,f2848,f2862,f2849]) ).

fof(f2849,plain,
    ! [X0] :
      ( ~ ordinal(X0)
      | element(X0,succ(succ(succ(sK3(succ(succ(succ(X0))))))))
      | ~ ordinal(succ(succ(succ(sK3(succ(succ(succ(X0))))))))
      | ~ ordinal(succ(sK3(succ(succ(succ(X0))))))
      | ~ ordinal(succ(succ(X0))) ),
    inference(resolution,[],[f2630,f699]) ).

fof(f2862,plain,
    ! [X0] :
      ( ~ ordinal(X0)
      | element(X0,succ(succ(succ(succ(succ(succ(succ(X0))))))))
      | ~ ordinal(succ(succ(X0)))
      | ~ ordinal(succ(succ(succ(succ(succ(X0)))))) ),
    inference(global_subsumption,[],[f158,f160,f162,f166,f177,f248,f156,f159,f167,f168,f169,f219,f220,f221,f222,f223,f224,f225,f227,f228,f229,f230,f241,f242,f243,f244,f246,f170,f198,f157,f155,f171,f175,f190,f191,f192,f196,f153,f172,f178,f179,f180,f189,f259,f260,f261,f262,f199,f216,f193,f201,f202,f203,f205,f281,f206,f154,f173,f182,f200,f286,f289,f292,f285,f300,f295,f207,f213,f323,f214,f215,f324,f183,f338,f204,f340,f343,f335,f184,f212,f218,f348,f352,f354,f361,f362,f363,f364,f355,f369,f370,f373,f368,f174,f349,f350,f353,f356,f208,f209,f210,f217,f427,f428,f342,f441,f429,f347,f449,f351,f421,f460,f432,f439,f450,f185,f459,f472,f471,f475,f476,f466,f492,f493,f494,f496,f501,f490,f186,f522,f181,f540,f541,f535,f538,f546,f521,f337,f553,f555,f556,f423,f393,f562,f563,f489,f577,f578,f579,f403,f588,f589,f590,f502,f610,f611,f612,f420,f641,f642,f636,f646,f644,f649,f657,f653,f651,f443,f679,f552,f686,f689,f691,f701,f693,f463,f702,f703,f704,f705,f682,f713,f707,f717,f710,f684,f724,f722,f526,f736,f733,f740,f745,f746,f719,f753,f755,f757,f750,f582,f664,f675,f769,f768,f390,f789,f770,f771,f787,f812,f813,f814,f815,f816,f817,f818,f790,f436,f838,f635,f853,f854,f542,f856,f431,f857,f858,f859,f865,f557,f884,f885,f886,f887,f735,f893,f901,f903,f905,f897,f837,f921,f922,f923,f924,f911,f920,f919,f917,f906,f932,f931,f852,f951,f447,f957,f958,f959,f955,f956,f734,f964,f811,f891,f982,f984,f986,f988,f977,f916,f989,f990,f991,f918,f995,f996,f997,f950,f1004,f499,f1009,f1010,f1011,f1012,f500,f1037,f1038,f1039,f1040,f933,f994,f1075,f1077,f1062,f1063,f1064,f1078,f1066,f1079,f1080,f1069,f1070,f1071,f1072,f999,f1099,f1103,f1087,f1088,f1089,f1106,f1107,f1108,f1094,f1095,f1096,f1097,f1101,f1115,f1105,f1120,f1119,f1002,f1130,f1129,f1007,f1203,f1202,f1137,f1138,f1139,f1199,f1205,f1206,f1145,f1146,f1198,f1196,f1192,f1191,f1162,f1163,f1164,f1188,f1207,f1208,f1170,f1171,f1187,f1185,f645,f1215,f1055,f1252,f1250,f1256,f1248,f1257,f1258,f1230,f1259,f1237,f1261,f1262,f1263,f1264,f1243,f1255,f1266,f1270,f1271,f1268,f1274,f1283,f1276,f1277,f1284,f1278,f1285,f1279,f1253,f1295,f1296,f1293,f1289,f1298,f1308,f1309,f1310,f1303,f1059,f1323,f1324,f1325,f1317,f1318,f1319,f1084,f1338,f1340,f1332,f1333,f1341,f1222,f1366,f1363,f1367,f1368,f1369,f1370,f1371,f1352,f1235,f1373,f1374,f1388,f1390,f1391,f1392,f1393,f1394,f1395,f1379,f1396,f1397,f1381,f1398,f1382,f647,f1408,f1409,f1402,f1404,f1387,f1411,f1422,f1420,f1423,f1424,f1413,f1440,f1438,f1441,f1442,f1443,f1431,f1419,f1444,f444,f1468,f1462,f1461,f1471,f1470,f1489,f1487,f1490,f1491,f1492,f1477,f1483,f1482,f462,f1493,f1494,f1495,f1497,f1498,f1500,f1501,f1499,f1503,f1504,f1505,f1506,f1507,f1508,f1509,f1510,f1511,f468,f1513,f1512,f1514,f741,f1526,f1525,f1527,f1528,f1529,f1521,f699,f1541,f1542,f1543,f1544,f1546,f1548,f1539,f844,f1579,f1578,f1580,f1581,f1582,f1555,f1556,f1583,f1584,f1585,f1560,f1577,f1576,f1575,f1574,f1572,f1569,f1571,f845,f1612,f1613,f1611,f1610,f1609,f1592,f1608,f1607,f1606,f1615,f1616,f1617,f1620,f1604,f1622,f1619,f1623,f1624,f1621,f1628,f1629,f1627,f1659,f1658,f1661,f1662,f1641,f1642,f1643,f1663,f1664,f1646,f1665,f1649,f1650,f1656,f1652,f1654,f1632,f1692,f1691,f1694,f1695,f1674,f1675,f1676,f1696,f1697,f1679,f1698,f1682,f1683,f1689,f1685,f1687,f1637,f1712,f1713,f1714,f1705,f1706,f1707,f1708,f1709,f1670,f1728,f1729,f1730,f1721,f1722,f1723,f1724,f1725,f530,f1734,f1741,f1736,f1737,f1614,f1762,f1743,f1763,f1764,f1766,f1768,f1770,f1771,f1750,f1772,f1774,f1775,f1777,f1754,f1778,f1779,f862,f1780,f1781,f1782,f1785,f1800,f1787,f1788,f1789,f1801,f1802,f1792,f1793,f1803,f1804,f1796,f1798,f495,f1808,f1809,f1810,f715,f1871,f1872,f1869,f1818,f1819,f1823,f1824,f1873,f1825,f1826,f1874,f1875,f1868,f1876,f1867,f1877,f1878,f1879,f1835,f1866,f1880,f1881,f1864,f1840,f1841,f1843,f1845,f1846,f1847,f1848,f1882,f1883,f1863,f1884,f1862,f1885,f1886,f1887,f1857,f1861,f1860,f1890,f1891,f1904,f1901,f1906,f1893,f1924,f1922,f1925,f1926,f1913,f1914,f1915,f1903,f1951,f1958,f1960,f1961,f1962,f1963,f1939,f1964,f1968,f1942,f1969,f1970,f1928,f1900,f1973,f529,f2007,f2008,f2009,f2010,f2005,f2011,f2004,f2012,f2013,f2003,f2014,f2015,f2016,f2017,f1985,f2018,f2002,f2001,f2019,f2020,f2021,f2022,f2023,f2025,f2026,f2027,f1996,f2028,f2029,f1998,f2030,f2031,f1956,f2062,f2063,f2064,f2065,f2060,f2036,f2037,f2041,f2042,f2066,f2043,f2044,f2067,f2046,f2068,f2059,f2069,f2070,f2071,f2058,f2072,f2073,f2074,f2055,f2057,f1959,f2039,f2101,f2077,f2102,f2099,f2103,f2104,f2105,f2083,f2106,f2107,f2085,f2086,f2087,f2088,f2089,f2108,f2109,f2092,f1975,f2110,f2132,f2131,f2134,f2135,f2120,f2121,f2125,f528,f2136,f2169,f2170,f2167,f2166,f2171,f2165,f2172,f2173,f2174,f2147,f2175,f2164,f2176,f2163,f2177,f2178,f2179,f2181,f2182,f2183,f2158,f2184,f2160,f2185,f2186,f788,f2187,f2188,f2189,f2190,f2191,f2192,f2193,f2194,f2195,f2196,f1467,f2204,f2203,f2205,f1533,f2223,f2224,f2225,f2226,f2228,f2230,f2232,f2233,f2234,f2235,f2215,f1568,f1573,f1783,f2250,f2251,f2252,f2253,f2254,f1797,f533,f2280,f2279,f2281,f2282,f2283,f2274,f2284,f2267,f2268,f2273,f2272,f580,f581,f2300,f2302,f2304,f1502,f2312,f2313,f2314,f2315,f2316,f2317,f2318,f2319,f2320,f2321,f1625,f2322,f2323,f2324,f2325,f1630,f2326,f2327,f2328,f2329,f1813,f2330,f2331,f2335,f2337,f2338,f2339,f2340,f2341,f2342,f2343,f2344,f2345,f2346,f2347,f2348,f2349,f2350,f2352,f2351,f2359,f2361,f2362,f2363,f2364,f2365,f2366,f2332,f2369,f2370,f2371,f2372,f2373,f2374,f2375,f2376,f2377,f2358,f2389,f2390,f2391,f2392,f2393,f2394,f2395,f2396,f2397,f461,f2406,f2407,f2408,f2409,f2410,f2411,f2412,f2413,f2414,f2415,f2416,f2417,f2418,f1821,f2444,f2420,f2445,f2442,f2446,f2447,f2448,f2426,f2449,f2428,f2429,f2430,f2431,f2432,f2450,f2451,f2435,f2238,f2465,f2463,f2462,f2466,f2467,f2240,f2480,f2478,f2481,f2482,f2483,f1074,f2505,f1076,f2512,f2511,f1098,f2528,f2534,f1905,f2557,f2555,f2558,f2559,f2561,f2562,f2563,f2565,f2567,f2568,f2569,f2571,f2552,f2333,f2575,f2576,f2577,f2578,f2579,f2459,f2589,f2475,f2595,f667,f1114,f2614,f2615,f2616,f2617,f2618,f2619,f2607,f2608,f2609,f2610,f2620,f2621,f1952,f2651,f2652,f2654,f2627,f2628,f2632,f2633,f2634,f2635,f2636,f2655,f2637,f2638,f2656,f2657,f2658,f2640,f2659,f2641,f2642,f2660,f2644,f2645,f2646,f2647,f2648,f2661,f2649,f2662,f1954,f1966,f2133,f2667,f2542,f2687,f2688,f2689,f2691,f2693,f2695,f2674,f2696,f2697,f2698,f2678,f765,f2699,f2700,f2702,f2704,f2709,f2703,f2701,f2705,f1212,f2753,f2706,f767,f1272,f2772,f1217,f2810,f2808,f2811,f2812,f2781,f2814,f2815,f2786,f2816,f2818,f2819,f2821,f2822,f2823,f2825,f2826,f2827,f2829,f2801,f2830,f2630,f2832,f2833,f2854,f2834,f2855,f2856,f2836,f2857,f2837,f2858,f2838,f2859,f2839,f2840,f2860,f2841,f2842,f2843,f2844,f2845,f2846,f2847,f2861,f2848]) ).

fof(f2848,plain,
    ! [X0] :
      ( ~ ordinal(X0)
      | element(X0,succ(succ(succ(succ(succ(succ(succ(X0))))))))
      | ~ ordinal(succ(succ(succ(succ(succ(succ(succ(X0))))))))
      | ~ ordinal(succ(succ(X0)))
      | ~ ordinal(succ(succ(succ(succ(succ(X0)))))) ),
    inference(resolution,[],[f2630,f1905]) ).

fof(f2861,plain,
    ! [X0] :
      ( ~ ordinal(X0)
      | element(X0,succ(succ(succ(succ(succ(succ(X0)))))))
      | ~ ordinal(succ(succ(succ(succ(succ(succ(X0)))))))
      | ~ ordinal(succ(succ(X0))) ),
    inference(global_subsumption,[],[f158,f160,f162,f166,f177,f248,f156,f159,f167,f168,f169,f219,f220,f221,f222,f223,f224,f225,f227,f228,f229,f230,f241,f242,f243,f244,f246,f170,f198,f157,f155,f171,f175,f190,f191,f192,f196,f153,f172,f178,f179,f180,f189,f259,f260,f261,f262,f199,f216,f193,f201,f202,f203,f205,f281,f206,f154,f173,f182,f200,f286,f289,f292,f285,f300,f295,f207,f213,f323,f214,f215,f324,f183,f338,f204,f340,f343,f335,f184,f212,f218,f348,f352,f354,f361,f362,f363,f364,f355,f369,f370,f373,f368,f174,f349,f350,f353,f356,f208,f209,f210,f217,f427,f428,f342,f441,f429,f347,f449,f351,f421,f460,f432,f439,f450,f185,f459,f472,f471,f475,f476,f466,f492,f493,f494,f496,f501,f490,f186,f522,f181,f540,f541,f535,f538,f546,f521,f337,f553,f555,f556,f423,f393,f562,f563,f489,f577,f578,f579,f403,f588,f589,f590,f502,f610,f611,f612,f420,f641,f642,f636,f646,f644,f649,f657,f653,f651,f443,f679,f552,f686,f689,f691,f701,f693,f463,f702,f703,f704,f705,f682,f713,f707,f717,f710,f684,f724,f722,f526,f736,f733,f740,f745,f746,f719,f753,f755,f757,f750,f582,f664,f675,f769,f768,f390,f789,f770,f771,f787,f812,f813,f814,f815,f816,f817,f818,f790,f436,f838,f635,f853,f854,f542,f856,f431,f857,f858,f859,f865,f557,f884,f885,f886,f887,f735,f893,f901,f903,f905,f897,f837,f921,f922,f923,f924,f911,f920,f919,f917,f906,f932,f931,f852,f951,f447,f957,f958,f959,f955,f956,f734,f964,f811,f891,f982,f984,f986,f988,f977,f916,f989,f990,f991,f918,f995,f996,f997,f950,f1004,f499,f1009,f1010,f1011,f1012,f500,f1037,f1038,f1039,f1040,f933,f994,f1075,f1077,f1062,f1063,f1064,f1078,f1066,f1079,f1080,f1069,f1070,f1071,f1072,f999,f1099,f1103,f1087,f1088,f1089,f1106,f1107,f1108,f1094,f1095,f1096,f1097,f1101,f1115,f1105,f1120,f1119,f1002,f1130,f1129,f1007,f1203,f1202,f1137,f1138,f1139,f1199,f1205,f1206,f1145,f1146,f1198,f1196,f1192,f1191,f1162,f1163,f1164,f1188,f1207,f1208,f1170,f1171,f1187,f1185,f645,f1215,f1055,f1252,f1250,f1256,f1248,f1257,f1258,f1230,f1259,f1237,f1261,f1262,f1263,f1264,f1243,f1255,f1266,f1270,f1271,f1268,f1274,f1283,f1276,f1277,f1284,f1278,f1285,f1279,f1253,f1295,f1296,f1293,f1289,f1298,f1308,f1309,f1310,f1303,f1059,f1323,f1324,f1325,f1317,f1318,f1319,f1084,f1338,f1340,f1332,f1333,f1341,f1222,f1366,f1363,f1367,f1368,f1369,f1370,f1371,f1352,f1235,f1373,f1374,f1388,f1390,f1391,f1392,f1393,f1394,f1395,f1379,f1396,f1397,f1381,f1398,f1382,f647,f1408,f1409,f1402,f1404,f1387,f1411,f1422,f1420,f1423,f1424,f1413,f1440,f1438,f1441,f1442,f1443,f1431,f1419,f1444,f444,f1468,f1462,f1461,f1471,f1470,f1489,f1487,f1490,f1491,f1492,f1477,f1483,f1482,f462,f1493,f1494,f1495,f1497,f1498,f1500,f1501,f1499,f1503,f1504,f1505,f1506,f1507,f1508,f1509,f1510,f1511,f468,f1513,f1512,f1514,f741,f1526,f1525,f1527,f1528,f1529,f1521,f699,f1541,f1542,f1543,f1544,f1546,f1548,f1539,f844,f1579,f1578,f1580,f1581,f1582,f1555,f1556,f1583,f1584,f1585,f1560,f1577,f1576,f1575,f1574,f1572,f1569,f1571,f845,f1612,f1613,f1611,f1610,f1609,f1592,f1608,f1607,f1606,f1615,f1616,f1617,f1620,f1604,f1622,f1619,f1623,f1624,f1621,f1628,f1629,f1627,f1659,f1658,f1661,f1662,f1641,f1642,f1643,f1663,f1664,f1646,f1665,f1649,f1650,f1656,f1652,f1654,f1632,f1692,f1691,f1694,f1695,f1674,f1675,f1676,f1696,f1697,f1679,f1698,f1682,f1683,f1689,f1685,f1687,f1637,f1712,f1713,f1714,f1705,f1706,f1707,f1708,f1709,f1670,f1728,f1729,f1730,f1721,f1722,f1723,f1724,f1725,f530,f1734,f1741,f1736,f1737,f1614,f1762,f1743,f1763,f1764,f1766,f1768,f1770,f1771,f1750,f1772,f1774,f1775,f1777,f1754,f1778,f1779,f862,f1780,f1781,f1782,f1785,f1800,f1787,f1788,f1789,f1801,f1802,f1792,f1793,f1803,f1804,f1796,f1798,f495,f1808,f1809,f1810,f715,f1871,f1872,f1869,f1818,f1819,f1823,f1824,f1873,f1825,f1826,f1874,f1875,f1868,f1876,f1867,f1877,f1878,f1879,f1835,f1866,f1880,f1881,f1864,f1840,f1841,f1843,f1845,f1846,f1847,f1848,f1882,f1883,f1863,f1884,f1862,f1885,f1886,f1887,f1857,f1861,f1860,f1890,f1891,f1904,f1901,f1906,f1893,f1924,f1922,f1925,f1926,f1913,f1914,f1915,f1903,f1951,f1958,f1960,f1961,f1962,f1963,f1939,f1964,f1968,f1942,f1969,f1970,f1928,f1900,f1973,f529,f2007,f2008,f2009,f2010,f2005,f2011,f2004,f2012,f2013,f2003,f2014,f2015,f2016,f2017,f1985,f2018,f2002,f2001,f2019,f2020,f2021,f2022,f2023,f2025,f2026,f2027,f1996,f2028,f2029,f1998,f2030,f2031,f1956,f2062,f2063,f2064,f2065,f2060,f2036,f2037,f2041,f2042,f2066,f2043,f2044,f2067,f2046,f2068,f2059,f2069,f2070,f2071,f2058,f2072,f2073,f2074,f2055,f2057,f1959,f2039,f2101,f2077,f2102,f2099,f2103,f2104,f2105,f2083,f2106,f2107,f2085,f2086,f2087,f2088,f2089,f2108,f2109,f2092,f1975,f2110,f2132,f2131,f2134,f2135,f2120,f2121,f2125,f528,f2136,f2169,f2170,f2167,f2166,f2171,f2165,f2172,f2173,f2174,f2147,f2175,f2164,f2176,f2163,f2177,f2178,f2179,f2181,f2182,f2183,f2158,f2184,f2160,f2185,f2186,f788,f2187,f2188,f2189,f2190,f2191,f2192,f2193,f2194,f2195,f2196,f1467,f2204,f2203,f2205,f1533,f2223,f2224,f2225,f2226,f2228,f2230,f2232,f2233,f2234,f2235,f2215,f1568,f1573,f1783,f2250,f2251,f2252,f2253,f2254,f1797,f533,f2280,f2279,f2281,f2282,f2283,f2274,f2284,f2267,f2268,f2273,f2272,f580,f581,f2300,f2302,f2304,f1502,f2312,f2313,f2314,f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).

fof(f2847,plain,
    ! [X0] :
      ( ~ ordinal(X0)
      | element(X0,succ(succ(succ(succ(succ(succ(X0)))))))
      | ~ ordinal(succ(succ(succ(succ(succ(succ(X0)))))))
      | ~ ordinal(succ(succ(succ(succ(X0)))))
      | ~ ordinal(succ(succ(X0))) ),
    inference(resolution,[],[f2630,f684]) ).

fof(f2846,plain,
    ! [X0] :
      ( ~ ordinal(X0)
      | element(X0,succ(succ(succ(succ(succ(succ(X0)))))))
      | ~ ordinal(succ(succ(succ(succ(succ(succ(X0)))))))
      | ~ ordinal(succ(succ(succ(X0)))) ),
    inference(resolution,[],[f2630,f1255]) ).

fof(f2845,plain,
    ! [X0] :
      ( ~ ordinal(X0)
      | element(X0,succ(succ(succ(succ(succ(succ(X0)))))))
      | ~ ordinal(succ(succ(succ(succ(succ(succ(X0)))))))
      | ~ ordinal(succ(succ(X0))) ),
    inference(resolution,[],[f2630,f1387]) ).

fof(f2844,plain,
    ! [X0,X1] :
      ( ~ ordinal(X0)
      | element(X0,succ(succ(succ(X1))))
      | ~ ordinal(succ(succ(succ(X1))))
      | in(X1,succ(succ(succ(succ(X0)))))
      | ~ ordinal(succ(succ(X0)))
      | ~ ordinal(X1) ),
    inference(resolution,[],[f2630,f715]) ).

fof(f2843,plain,
    ! [X0,X1] :
      ( ~ ordinal(X0)
      | element(X0,succ(succ(succ(X1))))
      | ~ ordinal(succ(succ(succ(X1))))
      | in(X1,succ(succ(succ(succ(X0)))))
      | ~ ordinal(X1)
      | ~ ordinal(succ(succ(X0))) ),
    inference(resolution,[],[f2630,f715]) ).

fof(f2842,plain,
    ! [X0,X1] :
      ( ~ ordinal(X0)
      | element(X0,succ(succ(succ(X1))))
      | ~ ordinal(succ(succ(succ(X1))))
      | ~ ordinal(X1)
      | element(X1,succ(succ(succ(X0))))
      | ~ ordinal(succ(succ(X0))) ),
    inference(resolution,[],[f2630,f1956]) ).

fof(f2841,plain,
    ! [X0,X1] :
      ( ~ ordinal(X0)
      | element(X0,succ(succ(succ(X1))))
      | ~ ordinal(succ(succ(succ(X1))))
      | ~ ordinal(succ(succ(succ(X0))))
      | ~ ordinal(X1)
      | element(X1,succ(succ(succ(X0)))) ),
    inference(resolution,[],[f2630,f1952]) ).

fof(f2860,plain,
    ! [X0] :
      ( ~ ordinal(X0)
      | element(X0,succ(succ(succ(succ(succ(X0))))))
      | ~ ordinal(succ(succ(succ(X0))))
      | ~ being_limit_ordinal(succ(succ(succ(X0)))) ),
    inference(global_subsumption,[],[f158,f160,f162,f166,f177,f248,f156,f159,f167,f168,f169,f219,f220,f221,f222,f223,f224,f225,f227,f228,f229,f230,f241,f242,f243,f244,f246,f170,f198,f157,f155,f171,f175,f190,f191,f192,f196,f153,f172,f178,f179,f180,f189,f259,f260,f261,f262,f199,f216,f193,f201,f202,f203,f205,f281,f206,f154,f173,f182,f200,f286,f289,f292,f285,f300,f295,f207,f213,f323,f214,f215,f324,f183,f338,f204,f340,f343,f335,f184,f212,f218,f348,f352,f354,f361,f362,f363,f364,f355,f369,f370,f373,f368,f174,f349,f350,f353,f356,f208,f209,f210,f217,f427,f428,f342,f441,f429,f347,f449,f351,f421,f460,f432,f439,f450,f185,f459,f472,f471,f475,f476,f466,f492,f493,f494,f496,f501,f490,f186,f522,f181,f540,f541,f535,f538,f546,f521,f337,f553,f555,f556,f423,f393,f562,f563,f489,f577,f578,f579,f403,f588,f589,f590,f502,f610,f611,f612,f420,f641,f642,f636,f646,f644,f649,f657,f653,f651,f443,f679,f552,f686,f689,f691,f701,f693,f463,f702,f703,f704,f705,f682,f713,f707,f717,f710,f684,f724,f722,f526,f736,f733,f740,f745,f746,f719,f753,f755,f757,f750,f582,f664,f675,f769,f768,f390,f789,f770,f771,f787,f812,f813,f814,f815,f816,f817,f818,f790,f436,f838,f635,f853,f854,f542,f856,f431,f857,f858,f859,f865,f557,f884,f885,f886,f887,f735,f893,f901,f903,f905,f897,f837,f921,f922,f923,f924,f911,f920,f919,f917,f906,f932,f931,f852,f951,f447,f957,f958,f959,f955,f956,f734,f964,f811,f891,f982,f984,f986,f988,f977,f916,f989,f990,f991,f918,f995,f996,f997,f950,f1004,f499,f1009,f1010,f1011,f1012,f500,f1037,f1038,f1039,f1040,f933,f994,f1075,f1077,f1062,f1063,f1064,f1078,f1066,f1079,f1080,f1069,f1070,f1071,f1072,f999,f1099,f1103,f1087,f1088,f1089,f1106,f1107,f1108,f1094,f1095,f1096,f1097,f1101,f1115,f1105,f1120,f1119,f1002,f1130,f1129,f1007,f1203,f1202,f1137,f1138,f1139,f1199,f1205,f1206,f1145,f1146,f1198,f1196,f1192,f1191,f1162,f1163,f1164,f1188,f1207,f1208,f1170,f1171,f1187,f1185,f645,f1215,f1055,f1252,f1250,f1256,f1248,f1257,f1258,f1230,f1259,f1237,f1261,f1262,f1263,f1264,f1243,f1255,f1266,f1270,f1271,f1268,f1274,f1283,f1276,f1277,f1284,f1278,f1285,f1279,f1253,f1295,f1296,f1293,f1289,f1298,f1308,f1309,f1310,f1303,f1059,f1323,f1324,f1325,f1317,f1318,f1319,f1084,f1338,f1340,f1332,f1333,f1341,f1222,f1366,f1363,f1367,f1368,f1369,f1370,f1371,f1352,f1235,f1373,f1374,f1388,f1390,f1391,f1392,f1393,f1394,f1395,f1379,f1396,f1397,f1381,f1398,f1382,f647,f1408,f1409,f1402,f1404,f1387,f1411,f1422,f1420,f1423,f1424,f1413,f1440,f1438,f1441,f1442,f1443,f1431,f1419,f1444,f444,f1468,f1462,f1461,f1471,f1470,f1489,f1487,f1490,f1491,f1492,f1477,f1483,f1482,f462,f1493,f1494,f1495,f1497,f1498,f1500,f1501,f1499,f1503,f1504,f1505,f1506,f1507,f1508,f1509,f1510,f1511,f468,f1513,f1512,f1514,f741,f1526,f1525,f1527,f1528,f1529,f1521,f699,f1541,f1542,f1543,f1544,f1546,f1548,f1539,f844,f1579,f1578,f1580,f1581,f1582,f1555,f1556,f1583,f1584,f1585,f1560,f1577,f1576,f1575,f1574,f1572,f1569,f1571,f845,f1612,f1613,f1611,f1610,f1609,f1592,f1608,f1607,f1606,f1615,f1616,f1617,f1620,f1604,f1622,f1619,f1623,f1624,f1621,f1628,f1629,f1627,f1659,f1658,f1661,f1662,f1641,f1642,f1643,f1663,f1664,f1646,f1665,f1649,f1650,f1656,f1652,f1654,f1632,f1692,f1691,f1694,f1695,f1674,f1675,f1676,f1696,f1697,f1679,f1698,f1682,f1683,f1689,f1685,f1687,f1637,f1712,f1713,f1714,f1705,f1706,f1707,f1708,f1709,f1670,f1728,f1729,f1730,f1721,f1722,f1723,f1724,f1725,f530,f1734,f1741,f1736,f1737,f1614,f1762,f1743,f1763,f1764,f1766,f1768,f1770,f1771,f1750,f1772,f1774,f1775,f1777,f1754,f1778,f1779,f862,f1780,f1781,f1782,f1785,f1800,f1787,f1788,f1789,f1801,f1802,f1792,f1793,f1803,f1804,f1796,f1798,f495,f1808,f1809,f1810,f715,f1871,f1872,f1869,f1818,f1819,f1823,f1824,f1873,f1825,f1826,f1874,f1875,f1868,f1876,f1867,f1877,f1878,f1879,f1835,f1866,f1880,f1881,f1864,f1840,f1841,f1843,f1845,f1846,f1847,f1848,f1882,f1883,f1863,f1884,f1862,f1885,f1886,f1887,f1857,f1861,f1860,f1890,f1891,f1904,f1901,f1906,f1893,f1924,f1922,f1925,f1926,f1913,f1914,f1915,f1903,f1951,f1958,f1960,f1961,f1962,f1963,f1939,f1964,f1968,f1942,f1969,f1970,f1928,f1900,f1973,f529,f2007,f2008,f2009,f2010,f2005,f2011,f2004,f2012,f2013,f2003,f2014,f2015,f2016,f2017,f1985,f2018,f2002,f2001,f2019,f2020,f2021,f2022,f2023,f2025,f2026,f2027,f1996,f2028,f2029,f1998,f2030,f2031,f1956,f2062,f2063,f2064,f2065,f2060,f2036,f2037,f2041,f2042,f2066,f2043,f2044,f2067,f2046,f2068,f2059,f2069,f2070,f2071,f2058,f2072,f2073,f2074,f2055,f2057,f1959,f2039,f2101,f2077,f2102,f2099,f2103,f2104,f2105,f2083,f2106,f2107,f2085,f2086,f2087,f2088,f2089,f2108,f2109,f2092,f1975,f2110,f2132,f2131,f2134,f2135,f2120,f2121,f2125,f528,f2136,f2169,f2170,f2167,f2166,f2171,f2165,f2172,f2173,f2174,f2147,f2175,f2164,f2176,f2163,f2177,f2178,f2179,f2181,f2182,f2183,f2158,f2184,f2160,f2185,f2186,f788,f2187,f2188,f2189,f2190,f2191,f2192,f2193,f2194,f2195,f2196,f1467,f2204,f2203,f2205,f1533,f2223,f2224,f2225,f2226,f2228,f2230,f2232,f2233,f2234,f2235,f2215,f1568,f1573,f1783,f2250,f2251,f2252,f2253,f2254,f1797,f533,f2280,f2279,f2281,f2282,f2283,f2274,f2284,f2267,f2268,f2273,f2272,f580,f581,f2300,f2302,f2304,f1502,f2312,f2313,f2314,f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).

fof(f2840,plain,
    ! [X0] :
      ( ~ ordinal(X0)
      | element(X0,succ(succ(succ(succ(succ(X0))))))
      | ~ ordinal(succ(succ(succ(succ(succ(X0))))))
      | ~ ordinal(succ(succ(succ(X0))))
      | ~ being_limit_ordinal(succ(succ(succ(X0)))) ),
    inference(resolution,[],[f2630,f1253]) ).

fof(f2839,plain,
    ! [X0] :
      ( ~ ordinal(X0)
      | element(X0,succ(succ(succ(succ(succ(X0))))))
      | ~ ordinal(succ(succ(succ(succ(succ(X0))))))
      | ~ ordinal(succ(succ(X0))) ),
    inference(resolution,[],[f2630,f1860]) ).

fof(f2859,plain,
    ! [X0,X1] :
      ( ~ ordinal(X0)
      | element(X0,succ(succ(X1)))
      | in(X1,succ(succ(succ(X0))))
      | ~ ordinal(succ(succ(X0)))
      | ~ ordinal(X1) ),
    inference(global_subsumption,[],[f158,f160,f162,f166,f177,f248,f156,f159,f167,f168,f169,f219,f220,f221,f222,f223,f224,f225,f227,f228,f229,f230,f241,f242,f243,f244,f246,f170,f198,f157,f155,f171,f175,f190,f191,f192,f196,f153,f172,f178,f179,f180,f189,f259,f260,f261,f262,f199,f216,f193,f201,f202,f203,f205,f281,f206,f154,f173,f182,f200,f286,f289,f292,f285,f300,f295,f207,f213,f323,f214,f215,f324,f183,f338,f204,f340,f343,f335,f184,f212,f218,f348,f352,f354,f361,f362,f363,f364,f355,f369,f370,f373,f368,f174,f349,f350,f353,f356,f208,f209,f210,f217,f427,f428,f342,f441,f429,f347,f449,f351,f421,f460,f432,f439,f450,f185,f459,f472,f471,f475,f476,f466,f492,f493,f494,f496,f501,f490,f186,f522,f181,f540,f541,f535,f538,f546,f521,f337,f553,f555,f556,f423,f393,f562,f563,f489,f577,f578,f579,f403,f588,f589,f590,f502,f610,f611,f612,f420,f641,f642,f636,f646,f644,f649,f657,f653,f651,f443,f679,f552,f686,f689,f691,f701,f693,f463,f702,f703,f704,f705,f682,f713,f707,f717,f710,f684,f724,f722,f526,f736,f733,f740,f745,f746,f719,f753,f755,f757,f750,f582,f664,f675,f769,f768,f390,f789,f770,f771,f787,f812,f813,f814,f815,f816,f817,f818,f790,f436,f838,f635,f853,f854,f542,f856,f431,f857,f858,f859,f865,f557,f884,f885,f886,f887,f735,f893,f901,f903,f905,f897,f837,f921,f922,f923,f924,f911,f920,f919,f917,f906,f932,f931,f852,f951,f447,f957,f958,f959,f955,f956,f734,f964,f811,f891,f982,f984,f986,f988,f977,f916,f989,f990,f991,f918,f995,f996,f997,f950,f1004,f499,f1009,f1010,f1011,f1012,f500,f1037,f1038,f1039,f1040,f933,f994,f1075,f1077,f1062,f1063,f1064,f1078,f1066,f1079,f1080,f1069,f1070,f1071,f1072,f999,f1099,f1103,f1087,f1088,f1089,f1106,f1107,f1108,f1094,f1095,f1096,f1097,f1101,f1115,f1105,f1120,f1119,f1002,f1130,f1129,f1007,f1203,f1202,f1137,f1138,f1139,f1199,f1205,f1206,f1145,f1146,f1198,f1196,f1192,f1191,f1162,f1163,f1164,f1188,f1207,f1208,f1170,f1171,f1187,f1185,f645,f1215,f1055,f1252,f1250,f1256,f1248,f1257,f1258,f1230,f1259,f1237,f1261,f1262,f1263,f1264,f1243,f1255,f1266,f1270,f1271,f1268,f1274,f1283,f1276,f1277,f1284,f1278,f1285,f1279,f1253,f1295,f1296,f1293,f1289,f1298,f1308,f1309,f1310,f1303,f1059,f1323,f1324,f1325,f1317,f1318,f1319,f1084,f1338,f1340,f1332,f1333,f1341,f1222,f1366,f1363,f1367,f1368,f1369,f1370,f1371,f1352,f1235,f1373,f1374,f1388,f1390,f1391,f1392,f1393,f1394,f1395,f1379,f1396,f1397,f1381,f1398,f1382,f647,f1408,f1409,f1402,f1404,f1387,f1411,f1422,f1420,f1423,f1424,f1413,f1440,f1438,f1441,f1442,f1443,f1431,f1419,f1444,f444,f1468,f1462,f1461,f1471,f1470,f1489,f1487,f1490,f1491,f1492,f1477,f1483,f1482,f462,f1493,f1494,f1495,f1497,f1498,f1500,f1501,f1499,f1503,f1504,f1505,f1506,f1507,f1508,f1509,f1510,f1511,f468,f1513,f1512,f1514,f741,f1526,f1525,f1527,f1528,f1529,f1521,f699,f1541,f1542,f1543,f1544,f1546,f1548,f1539,f844,f1579,f1578,f1580,f1581,f1582,f1555,f1556,f1583,f1584,f1585,f1560,f1577,f1576,f1575,f1574,f1572,f1569,f1571,f845,f1612,f1613,f1611,f1610,f1609,f1592,f1608,f1607,f1606,f1615,f1616,f1617,f1620,f1604,f1622,f1619,f1623,f1624,f1621,f1628,f1629,f1627,f1659,f1658,f1661,f1662,f1641,f1642,f1643,f1663,f1664,f1646,f1665,f1649,f1650,f1656,f1652,f1654,f1632,f1692,f1691,f1694,f1695,f1674,f1675,f1676,f1696,f1697,f1679,f1698,f1682,f1683,f1689,f1685,f1687,f1637,f1712,f1713,f1714,f1705,f1706,f1707,f1708,f1709,f1670,f1728,f1729,f1730,f1721,f1722,f1723,f1724,f1725,f530,f1734,f1741,f1736,f1737,f1614,f1762,f1743,f1763,f1764,f1766,f1768,f1770,f1771,f1750,f1772,f1774,f1775,f1777,f1754,f1778,f1779,f862,f1780,f1781,f1782,f1785,f1800,f1787,f1788,f1789,f1801,f1802,f1792,f1793,f1803,f1804,f1796,f1798,f495,f1808,f1809,f1810,f715,f1871,f1872,f1869,f1818,f1819,f1823,f1824,f1873,f1825,f1826,f1874,f1875,f1868,f1876,f1867,f1877,f1878,f1879,f1835,f1866,f1880,f1881,f1864,f1840,f1841,f1843,f1845,f1846,f1847,f1848,f1882,f1883,f1863,f1884,f1862,f1885,f1886,f1887,f1857,f1861,f1860,f1890,f1891,f1904,f1901,f1906,f1893,f1924,f1922,f1925,f1926,f1913,f1914,f1915,f1903,f1951,f1958,f1960,f1961,f1962,f1963,f1939,f1964,f1968,f1942,f1969,f1970,f1928,f1900,f1973,f529,f2007,f2008,f2009,f2010,f2005,f2011,f2004,f2012,f2013,f2003,f2014,f2015,f2016,f2017,f1985,f2018,f2002,f2001,f2019,f2020,f2021,f2022,f2023,f2025,f2026,f2027,f1996,f2028,f2029,f1998,f2030,f2031,f1956,f2062,f2063,f2064,f2065,f2060,f2036,f2037,f2041,f2042,f2066,f2043,f2044,f2067,f2046,f2068,f2059,f2069,f2070,f2071,f2058,f2072,f2073,f2074,f2055,f2057,f1959,f2039,f2101,f2077,f2102,f2099,f2103,f2104,f2105,f2083,f2106,f2107,f2085,f2086,f2087,f2088,f2089,f2108,f2109,f2092,f1975,f2110,f2132,f2131,f2134,f2135,f2120,f2121,f2125,f528,f2136,f2169,f2170,f2167,f2166,f2171,f2165,f2172,f2173,f2174,f2147,f2175,f2164,f2176,f2163,f2177,f2178,f2179,f2181,f2182,f2183,f2158,f2184,f2160,f2185,f2186,f788,f2187,f2188,f2189,f2190,f2191,f2192,f2193,f2194,f2195,f2196,f1467,f2204,f2203,f2205,f1533,f2223,f2224,f2225,f2226,f2228,f2230,f2232,f2233,f2234,f2235,f2215,f1568,f1573,f1783,f2250,f2251,f2252,f2253,f2254,f1797,f533,f2280,f2279,f2281,f2282,f2283,f2274,f2284,f2267,f2268,f2273,f2272,f580,f581,f2300,f2302,f2304,f1502,f2312,f2313,f2314,f2315,f2316,f2317,f2318,f2319,f2320,f2321,f1625,f2322,f2323,f2324,f2325,f1630,f2326,f2327,f2328,f2329,f1813,f2330,f2331,f2335,f2337,f2338,f2339,f2340,f2341,f2342,f2343,f2344,f2345,f2346,f2347,f2348,f2349,f2350,f2352,f2351,f2359,f2361,f2362,f2363,f2364,f2365,f2366,f2332,f2369,f2370,f2371,f2372,f2373,f2374,f2375,f2376,f2377,f2358,f2389,f2390,f2391,f2392,f2393,f2394,f2395,f2396,f2397,f461,f2406,f2407,f2408,f2409,f2410,f2411,f2412,f2413,f2414,f2415,f2416,f2417,f2418,f1821,f2444,f2420,f2445,f2442,f2446,f2447,f2448,f2426,f2449,f2428,f2429,f2430,f2431,f2432,f2450,f2451,f2435,f2238,f2465,f2463,f2462,f2466,f2467,f2240,f2480,f2478,f2481,f2482,f2483,f1074,f2505,f1076,f2512,f2511,f1098,f2528,f2534,f1905,f2557,f2555,f2558,f2559,f2561,f2562,f2563,f2565,f2567,f2568,f2569,f2571,f2552,f2333,f2575,f2576,f2577,f2578,f2579,f2459,f2589,f2475,f2595,f667,f1114,f2614,f2615,f2616,f2617,f2618,f2619,f2607,f2608,f2609,f2610,f2620,f2621,f1952,f2651,f2652,f2654,f2627,f2628,f2632,f2633,f2634,f2635,f2636,f2655,f2637,f2638,f2656,f2657,f2658,f2640,f2659,f2641,f2642,f2660,f2644,f2645,f2646,f2647,f2648,f2661,f2649,f2662,f1954,f1966,f2133,f2667,f2542,f2687,f2688,f2689,f2691,f2693,f2695,f2674,f2696,f2697,f2698,f2678,f765,f2699,f2700,f2702,f2704,f2709,f2703,f2701,f2705,f1212,f2753,f2706,f767,f1272,f2772,f1217,f2810,f2808,f2811,f2812,f2781,f2814,f2815,f2786,f2816,f2818,f2819,f2821,f2822,f2823,f2825,f2826,f2827,f2829,f2801,f2830,f2630,f2832,f2833,f2854,f2834,f2855,f2856,f2836,f2857,f2837,f2858,f2838]) ).

fof(f2838,plain,
    ! [X0,X1] :
      ( ~ ordinal(X0)
      | element(X0,succ(succ(X1)))
      | ~ ordinal(succ(succ(X1)))
      | in(X1,succ(succ(succ(X0))))
      | ~ ordinal(succ(succ(X0)))
      | ~ ordinal(X1) ),
    inference(resolution,[],[f2630,f552]) ).

fof(f2858,plain,
    ! [X0,X1] :
      ( ~ ordinal(X0)
      | element(X0,succ(succ(X1)))
      | in(X1,succ(succ(succ(X0))))
      | ~ ordinal(X1)
      | ~ ordinal(succ(succ(X0))) ),
    inference(global_subsumption,[],[f158,f160,f162,f166,f177,f248,f156,f159,f167,f168,f169,f219,f220,f221,f222,f223,f224,f225,f227,f228,f229,f230,f241,f242,f243,f244,f246,f170,f198,f157,f155,f171,f175,f190,f191,f192,f196,f153,f172,f178,f179,f180,f189,f259,f260,f261,f262,f199,f216,f193,f201,f202,f203,f205,f281,f206,f154,f173,f182,f200,f286,f289,f292,f285,f300,f295,f207,f213,f323,f214,f215,f324,f183,f338,f204,f340,f343,f335,f184,f212,f218,f348,f352,f354,f361,f362,f363,f364,f355,f369,f370,f373,f368,f174,f349,f350,f353,f356,f208,f209,f210,f217,f427,f428,f342,f441,f429,f347,f449,f351,f421,f460,f432,f439,f450,f185,f459,f472,f471,f475,f476,f466,f492,f493,f494,f496,f501,f490,f186,f522,f181,f540,f541,f535,f538,f546,f521,f337,f553,f555,f556,f423,f393,f562,f563,f489,f577,f578,f579,f403,f588,f589,f590,f502,f610,f611,f612,f420,f641,f642,f636,f646,f644,f649,f657,f653,f651,f443,f679,f552,f686,f689,f691,f701,f693,f463,f702,f703,f704,f705,f682,f713,f707,f717,f710,f684,f724,f722,f526,f736,f733,f740,f745,f746,f719,f753,f755,f757,f750,f582,f664,f675,f769,f768,f390,f789,f770,f771,f787,f812,f813,f814,f815,f816,f817,f818,f790,f436,f838,f635,f853,f854,f542,f856,f431,f857,f858,f859,f865,f557,f884,f885,f886,f887,f735,f893,f901,f903,f905,f897,f837,f921,f922,f923,f924,f911,f920,f919,f917,f906,f932,f931,f852,f951,f447,f957,f958,f959,f955,f956,f734,f964,f811,f891,f982,f984,f986,f988,f977,f916,f989,f990,f991,f918,f995,f996,f997,f950,f1004,f499,f1009,f1010,f1011,f1012,f500,f1037,f1038,f1039,f1040,f933,f994,f1075,f1077,f1062,f1063,f1064,f1078,f1066,f1079,f1080,f1069,f1070,f1071,f1072,f999,f1099,f1103,f1087,f1088,f1089,f1106,f1107,f1108,f1094,f1095,f1096,f1097,f1101,f1115,f1105,f1120,f1119,f1002,f1130,f1129,f1007,f1203,f1202,f1137,f1138,f1139,f1199,f1205,f1206,f1145,f1146,f1198,f1196,f1192,f1191,f1162,f1163,f1164,f1188,f1207,f1208,f1170,f1171,f1187,f1185,f645,f1215,f1055,f1252,f1250,f1256,f1248,f1257,f1258,f1230,f1259,f1237,f1261,f1262,f1263,f1264,f1243,f1255,f1266,f1270,f1271,f1268,f1274,f1283,f1276,f1277,f1284,f1278,f1285,f1279,f1253,f1295,f1296,f1293,f1289,f1298,f1308,f1309,f1310,f1303,f1059,f1323,f1324,f1325,f1317,f1318,f1319,f1084,f1338,f1340,f1332,f1333,f1341,f1222,f1366,f1363,f1367,f1368,f1369,f1370,f1371,f1352,f1235,f1373,f1374,f1388,f1390,f1391,f1392,f1393,f1394,f1395,f1379,f1396,f1397,f1381,f1398,f1382,f647,f1408,f1409,f1402,f1404,f1387,f1411,f1422,f1420,f1423,f1424,f1413,f1440,f1438,f1441,f1442,f1443,f1431,f1419,f1444,f444,f1468,f1462,f1461,f1471,f1470,f1489,f1487,f1490,f1491,f1492,f1477,f1483,f1482,f462,f1493,f1494,f1495,f1497,f1498,f1500,f1501,f1499,f1503,f1504,f1505,f1506,f1507,f1508,f1509,f1510,f1511,f468,f1513,f1512,f1514,f741,f1526,f1525,f1527,f1528,f1529,f1521,f699,f1541,f1542,f1543,f1544,f1546,f1548,f1539,f844,f1579,f1578,f1580,f1581,f1582,f1555,f1556,f1583,f1584,f1585,f1560,f1577,f1576,f1575,f1574,f1572,f1569,f1571,f845,f1612,f1613,f1611,f1610,f1609,f1592,f1608,f1607,f1606,f1615,f1616,f1617,f1620,f1604,f1622,f1619,f1623,f1624,f1621,f1628,f1629,f1627,f1659,f1658,f1661,f1662,f1641,f1642,f1643,f1663,f1664,f1646,f1665,f1649,f1650,f1656,f1652,f1654,f1632,f1692,f1691,f1694,f1695,f1674,f1675,f1676,f1696,f1697,f1679,f1698,f1682,f1683,f1689,f1685,f1687,f1637,f1712,f1713,f1714,f1705,f1706,f1707,f1708,f1709,f1670,f1728,f1729,f1730,f1721,f1722,f1723,f1724,f1725,f530,f1734,f1741,f1736,f1737,f1614,f1762,f1743,f1763,f1764,f1766,f1768,f1770,f1771,f1750,f1772,f1774,f1775,f1777,f1754,f1778,f1779,f862,f1780,f1781,f1782,f1785,f1800,f1787,f1788,f1789,f1801,f1802,f1792,f1793,f1803,f1804,f1796,f1798,f495,f1808,f1809,f1810,f715,f1871,f1872,f1869,f1818,f1819,f1823,f1824,f1873,f1825,f1826,f1874,f1875,f1868,f1876,f1867,f1877,f1878,f1879,f1835,f1866,f1880,f1881,f1864,f1840,f1841,f1843,f1845,f1846,f1847,f1848,f1882,f1883,f1863,f1884,f1862,f1885,f1886,f1887,f1857,f1861,f1860,f1890,f1891,f1904,f1901,f1906,f1893,f1924,f1922,f1925,f1926,f1913,f1914,f1915,f1903,f1951,f1958,f1960,f1961,f1962,f1963,f1939,f1964,f1968,f1942,f1969,f1970,f1928,f1900,f1973,f529,f2007,f2008,f2009,f2010,f2005,f2011,f2004,f2012,f2013,f2003,f2014,f2015,f2016,f2017,f1985,f2018,f2002,f2001,f2019,f2020,f2021,f2022,f2023,f2025,f2026,f2027,f1996,f2028,f2029,f1998,f2030,f2031,f1956,f2062,f2063,f2064,f2065,f2060,f2036,f2037,f2041,f2042,f2066,f2043,f2044,f2067,f2046,f2068,f2059,f2069,f2070,f2071,f2058,f2072,f2073,f2074,f2055,f2057,f1959,f2039,f2101,f2077,f2102,f2099,f2103,f2104,f2105,f2083,f2106,f2107,f2085,f2086,f2087,f2088,f2089,f2108,f2109,f2092,f1975,f2110,f2132,f2131,f2134,f2135,f2120,f2121,f2125,f528,f2136,f2169,f2170,f2167,f2166,f2171,f2165,f2172,f2173,f2174,f2147,f2175,f2164,f2176,f2163,f2177,f2178,f2179,f2181,f2182,f2183,f2158,f2184,f2160,f2185,f2186,f788,f2187,f2188,f2189,f2190,f2191,f2192,f2193,f2194,f2195,f2196,f1467,f2204,f2203,f2205,f1533,f2223,f2224,f2225,f2226,f2228,f2230,f2232,f2233,f2234,f2235,f2215,f1568,f1573,f1783,f2250,f2251,f2252,f2253,f2254,f1797,f533,f2280,f2279,f2281,f2282,f2283,f2274,f2284,f2267,f2268,f2273,f2272,f580,f581,f2300,f2302,f2304,f1502,f2312,f2313,f2314,f2315,f2316,f2317,f2318,f2319,f2320,f2321,f1625,f2322,f2323,f2324,f2325,f1630,f2326,f2327,f2328,f2329,f1813,f2330,f2331,f2335,f2337,f2338,f2339,f2340,f2341,f2342,f2343,f2344,f2345,f2346,f2347,f2348,f2349,f2350,f2352,f2351,f2359,f2361,f2362,f2363,f2364,f2365,f2366,f2332,f2369,f2370,f2371,f2372,f2373,f2374,f2375,f2376,f2377,f2358,f2389,f2390,f2391,f2392,f2393,f2394,f2395,f2396,f2397,f461,f2406,f2407,f2408,f2409,f2410,f2411,f2412,f2413,f2414,f2415,f2416,f2417,f2418,f1821,f2444,f2420,f2445,f2442,f2446,f2447,f2448,f2426,f2449,f2428,f2429,f2430,f2431,f2432,f2450,f2451,f2435,f2238,f2465,f2463,f2462,f2466,f2467,f2240,f2480,f2478,f2481,f2482,f2483,f1074,f2505,f1076,f2512,f2511,f1098,f2528,f2534,f1905,f2557,f2555,f2558,f2559,f2561,f2562,f2563,f2565,f2567,f2568,f2569,f2571,f2552,f2333,f2575,f2576,f2577,f2578,f2579,f2459,f2589,f2475,f2595,f667,f1114,f2614,f2615,f2616,f2617,f2618,f2619,f2607,f2608,f2609,f2610,f2620,f2621,f1952,f2651,f2652,f2654,f2627,f2628,f2632,f2633,f2634,f2635,f2636,f2655,f2637,f2638,f2656,f2657,f2658,f2640,f2659,f2641,f2642,f2660,f2644,f2645,f2646,f2647,f2648,f2661,f2649,f2662,f1954,f1966,f2133,f2667,f2542,f2687,f2688,f2689,f2691,f2693,f2695,f2674,f2696,f2697,f2698,f2678,f765,f2699,f2700,f2702,f2704,f2709,f2703,f2701,f2705,f1212,f2753,f2706,f767,f1272,f2772,f1217,f2810,f2808,f2811,f2812,f2781,f2814,f2815,f2786,f2816,f2818,f2819,f2821,f2822,f2823,f2825,f2826,f2827,f2829,f2801,f2830,f2630,f2832,f2833,f2854,f2834,f2855,f2856,f2836,f2857,f2837]) ).

fof(f2837,plain,
    ! [X0,X1] :
      ( ~ ordinal(X0)
      | element(X0,succ(succ(X1)))
      | ~ ordinal(succ(succ(X1)))
      | in(X1,succ(succ(succ(X0))))
      | ~ ordinal(X1)
      | ~ ordinal(succ(succ(X0))) ),
    inference(resolution,[],[f2630,f552]) ).

fof(f2857,plain,
    ! [X0,X1] :
      ( ~ ordinal(X0)
      | element(X0,succ(succ(X1)))
      | ~ being_limit_ordinal(X1)
      | ~ ordinal(X1)
      | ~ in(succ(succ(X0)),X1)
      | ~ ordinal(succ(succ(X0))) ),
    inference(global_subsumption,[],[f158,f160,f162,f166,f177,f248,f156,f159,f167,f168,f169,f219,f220,f221,f222,f223,f224,f225,f227,f228,f229,f230,f241,f242,f243,f244,f246,f170,f198,f157,f155,f171,f175,f190,f191,f192,f196,f153,f172,f178,f179,f180,f189,f259,f260,f261,f262,f199,f216,f193,f201,f202,f203,f205,f281,f206,f154,f173,f182,f200,f286,f289,f292,f285,f300,f295,f207,f213,f323,f214,f215,f324,f183,f338,f204,f340,f343,f335,f184,f212,f218,f348,f352,f354,f361,f362,f363,f364,f355,f369,f370,f373,f368,f174,f349,f350,f353,f356,f208,f209,f210,f217,f427,f428,f342,f441,f429,f347,f449,f351,f421,f460,f432,f439,f450,f185,f459,f472,f471,f475,f476,f466,f492,f493,f494,f496,f501,f490,f186,f522,f181,f540,f541,f535,f538,f546,f521,f337,f553,f555,f556,f423,f393,f562,f563,f489,f577,f578,f579,f403,f588,f589,f590,f502,f610,f611,f612,f420,f641,f642,f636,f646,f644,f649,f657,f653,f651,f443,f679,f552,f686,f689,f691,f701,f693,f463,f702,f703,f704,f705,f682,f713,f707,f717,f710,f684,f724,f722,f526,f736,f733,f740,f745,f746,f719,f753,f755,f757,f750,f582,f664,f675,f769,f768,f390,f789,f770,f771,f787,f812,f813,f814,f815,f816,f817,f818,f790,f436,f838,f635,f853,f854,f542,f856,f431,f857,f858,f859,f865,f557,f884,f885,f886,f887,f735,f893,f901,f903,f905,f897,f837,f921,f922,f923,f924,f911,f920,f919,f917,f906,f932,f931,f852,f951,f447,f957,f958,f959,f955,f956,f734,f964,f811,f891,f982,f984,f986,f988,f977,f916,f989,f990,f991,f918,f995,f996,f997,f950,f1004,f499,f1009,f1010,f1011,f1012,f500,f1037,f1038,f1039,f1040,f933,f994,f1075,f1077,f1062,f1063,f1064,f1078,f1066,f1079,f1080,f1069,f1070,f1071,f1072,f999,f1099,f1103,f1087,f1088,f1089,f1106,f1107,f1108,f1094,f1095,f1096,f1097,f1101,f1115,f1105,f1120,f1119,f1002,f1130,f1129,f1007,f1203,f1202,f1137,f1138,f1139,f1199,f1205,f1206,f1145,f1146,f1198,f1196,f1192,f1191,f1162,f1163,f1164,f1188,f1207,f1208,f1170,f1171,f1187,f1185,f645,f1215,f1055,f1252,f1250,f1256,f1248,f1257,f1258,f1230,f1259,f1237,f1261,f1262,f1263,f1264,f1243,f1255,f1266,f1270,f1271,f1268,f1274,f1283,f1276,f1277,f1284,f1278,f1285,f1279,f1253,f1295,f1296,f1293,f1289,f1298,f1308,f1309,f1310,f1303,f1059,f1323,f1324,f1325,f1317,f1318,f1319,f1084,f1338,f1340,f1332,f1333,f1341,f1222,f1366,f1363,f1367,f1368,f1369,f1370,f1371,f1352,f1235,f1373,f1374,f1388,f1390,f1391,f1392,f1393,f1394,f1395,f1379,f1396,f1397,f1381,f1398,f1382,f647,f1408,f1409,f1402,f1404,f1387,f1411,f1422,f1420,f1423,f1424,f1413,f1440,f1438,f1441,f1442,f1443,f1431,f1419,f1444,f444,f1468,f1462,f1461,f1471,f1470,f1489,f1487,f1490,f1491,f1492,f1477,f1483,f1482,f462,f1493,f1494,f1495,f1497,f1498,f1500,f1501,f1499,f1503,f1504,f1505,f1506,f1507,f1508,f1509,f1510,f1511,f468,f1513,f1512,f1514,f741,f1526,f1525,f1527,f1528,f1529,f1521,f699,f1541,f1542,f1543,f1544,f1546,f1548,f1539,f844,f1579,f1578,f1580,f1581,f1582,f1555,f1556,f1583,f1584,f1585,f1560,f1577,f1576,f1575,f1574,f1572,f1569,f1571,f845,f1612,f1613,f1611,f1610,f1609,f1592,f1608,f1607,f1606,f1615,f1616,f1617,f1620,f1604,f1622,f1619,f1623,f1624,f1621,f1628,f1629,f1627,f1659,f1658,f1661,f1662,f1641,f1642,f1643,f1663,f1664,f1646,f1665,f1649,f1650,f1656,f1652,f1654,f1632,f1692,f1691,f1694,f1695,f1674,f1675,f1676,f1696,f1697,f1679,f1698,f1682,f1683,f1689,f1685,f1687,f1637,f1712,f1713,f1714,f1705,f1706,f1707,f1708,f1709,f1670,f1728,f1729,f1730,f1721,f1722,f1723,f1724,f1725,f530,f1734,f1741,f1736,f1737,f1614,f1762,f1743,f1763,f1764,f1766,f1768,f1770,f1771,f1750,f1772,f1774,f1775,f1777,f1754,f1778,f1779,f862,f1780,f1781,f1782,f1785,f1800,f1787,f1788,f1789,f1801,f1802,f1792,f1793,f1803,f1804,f1796,f1798,f495,f1808,f1809,f1810,f715,f1871,f1872,f1869,f1818,f1819,f1823,f1824,f1873,f1825,f1826,f1874,f1875,f1868,f1876,f1867,f1877,f1878,f1879,f1835,f1866,f1880,f1881,f1864,f1840,f1841,f1843,f1845,f1846,f1847,f1848,f1882,f1883,f1863,f1884,f1862,f1885,f1886,f1887,f1857,f1861,f1860,f1890,f1891,f1904,f1901,f1906,f1893,f1924,f1922,f1925,f1926,f1913,f1914,f1915,f1903,f1951,f1958,f1960,f1961,f1962,f1963,f1939,f1964,f1968,f1942,f1969,f1970,f1928,f1900,f1973,f529,f2007,f2008,f2009,f2010,f2005,f2011,f2004,f2012,f2013,f2003,f2014,f2015,f2016,f2017,f1985,f2018,f2002,f2001,f2019,f2020,f2021,f2022,f2023,f2025,f2026,f2027,f1996,f2028,f2029,f1998,f2030,f2031,f1956,f2062,f2063,f2064,f2065,f2060,f2036,f2037,f2041,f2042,f2066,f2043,f2044,f2067,f2046,f2068,f2059,f2069,f2070,f2071,f2058,f2072,f2073,f2074,f2055,f2057,f1959,f2039,f2101,f2077,f2102,f2099,f2103,f2104,f2105,f2083,f2106,f2107,f2085,f2086,f2087,f2088,f2089,f2108,f2109,f2092,f1975,f2110,f2132,f2131,f2134,f2135,f2120,f2121,f2125,f528,f2136,f2169,f2170,f2167,f2166,f2171,f2165,f2172,f2173,f2174,f2147,f2175,f2164,f2176,f2163,f2177,f2178,f2179,f2181,f2182,f2183,f2158,f2184,f2160,f2185,f2186,f788,f2187,f2188,f2189,f2190,f2191,f2192,f2193,f2194,f2195,f2196,f1467,f2204,f2203,f2205,f1533,f2223,f2224,f2225,f2226,f2228,f2230,f2232,f2233,f2234,f2235,f2215,f1568,f1573,f1783,f2250,f2251,f2252,f2253,f2254,f1797,f533,f2280,f2279,f2281,f2282,f2283,f2274,f2284,f2267,f2268,f2273,f2272,f580,f581,f2300,f2302,f2304,f1502,f2312,f2313,f2314,f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).

fof(f2836,plain,
    ! [X0,X1] :
      ( ~ ordinal(X0)
      | element(X0,succ(succ(X1)))
      | ~ ordinal(succ(succ(X1)))
      | ~ being_limit_ordinal(X1)
      | ~ ordinal(X1)
      | ~ in(succ(succ(X0)),X1)
      | ~ ordinal(succ(succ(X0))) ),
    inference(resolution,[],[f2630,f735]) ).

fof(f2856,plain,
    ! [X0,X1] :
      ( ~ ordinal(X0)
      | element(X0,succ(succ(X1)))
      | in(X1,succ(succ(succ(X0))))
      | ~ ordinal(succ(succ(X0)))
      | ~ ordinal(succ(X1)) ),
    inference(subsumption_resolution,[],[f2835,f180]) ).

fof(f2835,plain,
    ! [X0,X1] :
      ( ~ ordinal(X0)
      | element(X0,succ(succ(X1)))
      | ~ ordinal(succ(succ(X1)))
      | in(X1,succ(succ(succ(X0))))
      | ~ ordinal(succ(succ(X0)))
      | ~ ordinal(succ(X1)) ),
    inference(resolution,[],[f2630,f1055]) ).

fof(f2855,plain,
    ! [X0,X1] :
      ( ~ ordinal(X0)
      | element(X0,succ(succ(X1)))
      | in(X1,succ(succ(succ(X0))))
      | ~ ordinal(X1)
      | ~ ordinal(succ(succ(succ(X0)))) ),
    inference(global_subsumption,[],[f158,f160,f162,f166,f177,f248,f156,f159,f167,f168,f169,f219,f220,f221,f222,f223,f224,f225,f227,f228,f229,f230,f241,f242,f243,f244,f246,f170,f198,f157,f155,f171,f175,f190,f191,f192,f196,f153,f172,f178,f179,f180,f189,f259,f260,f261,f262,f199,f216,f193,f201,f202,f203,f205,f281,f206,f154,f173,f182,f200,f286,f289,f292,f285,f300,f295,f207,f213,f323,f214,f215,f324,f183,f338,f204,f340,f343,f335,f184,f212,f218,f348,f352,f354,f361,f362,f363,f364,f355,f369,f370,f373,f368,f174,f349,f350,f353,f356,f208,f209,f210,f217,f427,f428,f342,f441,f429,f347,f449,f351,f421,f460,f432,f439,f450,f185,f459,f472,f471,f475,f476,f466,f492,f493,f494,f496,f501,f490,f186,f522,f181,f540,f541,f535,f538,f546,f521,f337,f553,f555,f556,f423,f393,f562,f563,f489,f577,f578,f579,f403,f588,f589,f590,f502,f610,f611,f612,f420,f641,f642,f636,f646,f644,f649,f657,f653,f651,f443,f679,f552,f686,f689,f691,f701,f693,f463,f702,f703,f704,f705,f682,f713,f707,f717,f710,f684,f724,f722,f526,f736,f733,f740,f745,f746,f719,f753,f755,f757,f750,f582,f664,f675,f769,f768,f390,f789,f770,f771,f787,f812,f813,f814,f815,f816,f817,f818,f790,f436,f838,f635,f853,f854,f542,f856,f431,f857,f858,f859,f865,f557,f884,f885,f886,f887,f735,f893,f901,f903,f905,f897,f837,f921,f922,f923,f924,f911,f920,f919,f917,f906,f932,f931,f852,f951,f447,f957,f958,f959,f955,f956,f734,f964,f811,f891,f982,f984,f986,f988,f977,f916,f989,f990,f991,f918,f995,f996,f997,f950,f1004,f499,f1009,f1010,f1011,f1012,f500,f1037,f1038,f1039,f1040,f933,f994,f1075,f1077,f1062,f1063,f1064,f1078,f1066,f1079,f1080,f1069,f1070,f1071,f1072,f999,f1099,f1103,f1087,f1088,f1089,f1106,f1107,f1108,f1094,f1095,f1096,f1097,f1101,f1115,f1105,f1120,f1119,f1002,f1130,f1129,f1007,f1203,f1202,f1137,f1138,f1139,f1199,f1205,f1206,f1145,f1146,f1198,f1196,f1192,f1191,f1162,f1163,f1164,f1188,f1207,f1208,f1170,f1171,f1187,f1185,f645,f1215,f1055,f1252,f1250,f1256,f1248,f1257,f1258,f1230,f1259,f1237,f1261,f1262,f1263,f1264,f1243,f1255,f1266,f1270,f1271,f1268,f1274,f1283,f1276,f1277,f1284,f1278,f1285,f1279,f1253,f1295,f1296,f1293,f1289,f1298,f1308,f1309,f1310,f1303,f1059,f1323,f1324,f1325,f1317,f1318,f1319,f1084,f1338,f1340,f1332,f1333,f1341,f1222,f1366,f1363,f1367,f1368,f1369,f1370,f1371,f1352,f1235,f1373,f1374,f1388,f1390,f1391,f1392,f1393,f1394,f1395,f1379,f1396,f1397,f1381,f1398,f1382,f647,f1408,f1409,f1402,f1404,f1387,f1411,f1422,f1420,f1423,f1424,f1413,f1440,f1438,f1441,f1442,f1443,f1431,f1419,f1444,f444,f1468,f1462,f1461,f1471,f1470,f1489,f1487,f1490,f1491,f1492,f1477,f1483,f1482,f462,f1493,f1494,f1495,f1497,f1498,f1500,f1501,f1499,f1503,f1504,f1505,f1506,f1507,f1508,f1509,f1510,f1511,f468,f1513,f1512,f1514,f741,f1526,f1525,f1527,f1528,f1529,f1521,f699,f1541,f1542,f1543,f1544,f1546,f1548,f1539,f844,f1579,f1578,f1580,f1581,f1582,f1555,f1556,f1583,f1584,f1585,f1560,f1577,f1576,f1575,f1574,f1572,f1569,f1571,f845,f1612,f1613,f1611,f1610,f1609,f1592,f1608,f1607,f1606,f1615,f1616,f1617,f1620,f1604,f1622,f1619,f1623,f1624,f1621,f1628,f1629,f1627,f1659,f1658,f1661,f1662,f1641,f1642,f1643,f1663,f1664,f1646,f1665,f1649,f1650,f1656,f1652,f1654,f1632,f1692,f1691,f1694,f1695,f1674,f1675,f1676,f1696,f1697,f1679,f1698,f1682,f1683,f1689,f1685,f1687,f1637,f1712,f1713,f1714,f1705,f1706,f1707,f1708,f1709,f1670,f1728,f1729,f1730,f1721,f1722,f1723,f1724,f1725,f530,f1734,f1741,f1736,f1737,f1614,f1762,f1743,f1763,f1764,f1766,f1768,f1770,f1771,f1750,f1772,f1774,f1775,f1777,f1754,f1778,f1779,f862,f1780,f1781,f1782,f1785,f1800,f1787,f1788,f1789,f1801,f1802,f1792,f1793,f1803,f1804,f1796,f1798,f495,f1808,f1809,f1810,f715,f1871,f1872,f1869,f1818,f1819,f1823,f1824,f1873,f1825,f1826,f1874,f1875,f1868,f1876,f1867,f1877,f1878,f1879,f1835,f1866,f1880,f1881,f1864,f1840,f1841,f1843,f1845,f1846,f1847,f1848,f1882,f1883,f1863,f1884,f1862,f1885,f1886,f1887,f1857,f1861,f1860,f1890,f1891,f1904,f1901,f1906,f1893,f1924,f1922,f1925,f1926,f1913,f1914,f1915,f1903,f1951,f1958,f1960,f1961,f1962,f1963,f1939,f1964,f1968,f1942,f1969,f1970,f1928,f1900,f1973,f529,f2007,f2008,f2009,f2010,f2005,f2011,f2004,f2012,f2013,f2003,f2014,f2015,f2016,f2017,f1985,f2018,f2002,f2001,f2019,f2020,f2021,f2022,f2023,f2025,f2026,f2027,f1996,f2028,f2029,f1998,f2030,f2031,f1956,f2062,f2063,f2064,f2065,f2060,f2036,f2037,f2041,f2042,f2066,f2043,f2044,f2067,f2046,f2068,f2059,f2069,f2070,f2071,f2058,f2072,f2073,f2074,f2055,f2057,f1959,f2039,f2101,f2077,f2102,f2099,f2103,f2104,f2105,f2083,f2106,f2107,f2085,f2086,f2087,f2088,f2089,f2108,f2109,f2092,f1975,f2110,f2132,f2131,f2134,f2135,f2120,f2121,f2125,f528,f2136,f2169,f2170,f2167,f2166,f2171,f2165,f2172,f2173,f2174,f2147,f2175,f2164,f2176,f2163,f2177,f2178,f2179,f2181,f2182,f2183,f2158,f2184,f2160,f2185,f2186,f788,f2187,f2188,f2189,f2190,f2191,f2192,f2193,f2194,f2195,f2196,f1467,f2204,f2203,f2205,f1533,f2223,f2224,f2225,f2226,f2228,f2230,f2232,f2233,f2234,f2235,f2215,f1568,f1573,f1783,f2250,f2251,f2252,f2253,f2254,f1797,f533,f2280,f2279,f2281,f2282,f2283,f2274,f2284,f2267,f2268,f2273,f2272,f580,f581,f2300,f2302,f2304,f1502,f2312,f2313,f2314,f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).

fof(f2834,plain,
    ! [X0,X1] :
      ( ~ ordinal(X0)
      | element(X0,succ(succ(X1)))
      | ~ ordinal(succ(succ(X1)))
      | in(X1,succ(succ(succ(X0))))
      | ~ ordinal(X1)
      | ~ ordinal(succ(succ(succ(X0)))) ),
    inference(resolution,[],[f2630,f1055]) ).

fof(f2854,plain,
    ! [X0,X1] :
      ( ~ ordinal(X0)
      | element(X0,succ(succ(X1)))
      | ~ ordinal(succ(succ(X0)))
      | ~ ordinal(X1)
      | in(X1,succ(succ(X0)))
      | succ(X1) = succ(succ(X0)) ),
    inference(global_subsumption,[],[f158,f160,f162,f166,f177,f248,f156,f159,f167,f168,f169,f219,f220,f221,f222,f223,f224,f225,f227,f228,f229,f230,f241,f242,f243,f244,f246,f170,f198,f157,f155,f171,f175,f190,f191,f192,f196,f153,f172,f178,f179,f180,f189,f259,f260,f261,f262,f199,f216,f193,f201,f202,f203,f205,f281,f206,f154,f173,f182,f200,f286,f289,f292,f285,f300,f295,f207,f213,f323,f214,f215,f324,f183,f338,f204,f340,f343,f335,f184,f212,f218,f348,f352,f354,f361,f362,f363,f364,f355,f369,f370,f373,f368,f174,f349,f350,f353,f356,f208,f209,f210,f217,f427,f428,f342,f441,f429,f347,f449,f351,f421,f460,f432,f439,f450,f185,f459,f472,f471,f475,f476,f466,f492,f493,f494,f496,f501,f490,f186,f522,f181,f540,f541,f535,f538,f546,f521,f337,f553,f555,f556,f423,f393,f562,f563,f489,f577,f578,f579,f403,f588,f589,f590,f502,f610,f611,f612,f420,f641,f642,f636,f646,f644,f649,f657,f653,f651,f443,f679,f552,f686,f689,f691,f701,f693,f463,f702,f703,f704,f705,f682,f713,f707,f717,f710,f684,f724,f722,f526,f736,f733,f740,f745,f746,f719,f753,f755,f757,f750,f582,f664,f675,f769,f768,f390,f789,f770,f771,f787,f812,f813,f814,f815,f816,f817,f818,f790,f436,f838,f635,f853,f854,f542,f856,f431,f857,f858,f859,f865,f557,f884,f885,f886,f887,f735,f893,f901,f903,f905,f897,f837,f921,f922,f923,f924,f911,f920,f919,f917,f906,f932,f931,f852,f951,f447,f957,f958,f959,f955,f956,f734,f964,f811,f891,f982,f984,f986,f988,f977,f916,f989,f990,f991,f918,f995,f996,f997,f950,f1004,f499,f1009,f1010,f1011,f1012,f500,f1037,f1038,f1039,f1040,f933,f994,f1075,f1077,f1062,f1063,f1064,f1078,f1066,f1079,f1080,f1069,f1070,f1071,f1072,f999,f1099,f1103,f1087,f1088,f1089,f1106,f1107,f1108,f1094,f1095,f1096,f1097,f1101,f1115,f1105,f1120,f1119,f1002,f1130,f1129,f1007,f1203,f1202,f1137,f1138,f1139,f1199,f1205,f1206,f1145,f1146,f1198,f1196,f1192,f1191,f1162,f1163,f1164,f1188,f1207,f1208,f1170,f1171,f1187,f1185,f645,f1215,f1055,f1252,f1250,f1256,f1248,f1257,f1258,f1230,f1259,f1237,f1261,f1262,f1263,f1264,f1243,f1255,f1266,f1270,f1271,f1268,f1274,f1283,f1276,f1277,f1284,f1278,f1285,f1279,f1253,f1295,f1296,f1293,f1289,f1298,f1308,f1309,f1310,f1303,f1059,f1323,f1324,f1325,f1317,f1318,f1319,f1084,f1338,f1340,f1332,f1333,f1341,f1222,f1366,f1363,f1367,f1368,f1369,f1370,f1371,f1352,f1235,f1373,f1374,f1388,f1390,f1391,f1392,f1393,f1394,f1395,f1379,f1396,f1397,f1381,f1398,f1382,f647,f1408,f1409,f1402,f1404,f1387,f1411,f1422,f1420,f1423,f1424,f1413,f1440,f1438,f1441,f1442,f1443,f1431,f1419,f1444,f444,f1468,f1462,f1461,f1471,f1470,f1489,f1487,f1490,f1491,f1492,f1477,f1483,f1482,f462,f1493,f1494,f1495,f1497,f1498,f1500,f1501,f1499,f1503,f1504,f1505,f1506,f1507,f1508,f1509,f1510,f1511,f468,f1513,f1512,f1514,f741,f1526,f1525,f1527,f1528,f1529,f1521,f699,f1541,f1542,f1543,f1544,f1546,f1548,f1539,f844,f1579,f1578,f1580,f1581,f1582,f1555,f1556,f1583,f1584,f1585,f1560,f1577,f1576,f1575,f1574,f1572,f1569,f1571,f845,f1612,f1613,f1611,f1610,f1609,f1592,f1608,f1607,f1606,f1615,f1616,f1617,f1620,f1604,f1622,f1619,f1623,f1624,f1621,f1628,f1629,f1627,f1659,f1658,f1661,f1662,f1641,f1642,f1643,f1663,f1664,f1646,f1665,f1649,f1650,f1656,f1652,f1654,f1632,f1692,f1691,f1694,f1695,f1674,f1675,f1676,f1696,f1697,f1679,f1698,f1682,f1683,f1689,f1685,f1687,f1637,f1712,f1713,f1714,f1705,f1706,f1707,f1708,f1709,f1670,f1728,f1729,f1730,f1721,f1722,f1723,f1724,f1725,f530,f1734,f1741,f1736,f1737,f1614,f1762,f1743,f1763,f1764,f1766,f1768,f1770,f1771,f1750,f1772,f1774,f1775,f1777,f1754,f1778,f1779,f862,f1780,f1781,f1782,f1785,f1800,f1787,f1788,f1789,f1801,f1802,f1792,f1793,f1803,f1804,f1796,f1798,f495,f1808,f1809,f1810,f715,f1871,f1872,f1869,f1818,f1819,f1823,f1824,f1873,f1825,f1826,f1874,f1875,f1868,f1876,f1867,f1877,f1878,f1879,f1835,f1866,f1880,f1881,f1864,f1840,f1841,f1843,f1845,f1846,f1847,f1848,f1882,f1883,f1863,f1884,f1862,f1885,f1886,f1887,f1857,f1861,f1860,f1890,f1891,f1904,f1901,f1906,f1893,f1924,f1922,f1925,f1926,f1913,f1914,f1915,f1903,f1951,f1958,f1960,f1961,f1962,f1963,f1939,f1964,f1968,f1942,f1969,f1970,f1928,f1900,f1973,f529,f2007,f2008,f2009,f2010,f2005,f2011,f2004,f2012,f2013,f2003,f2014,f2015,f2016,f2017,f1985,f2018,f2002,f2001,f2019,f2020,f2021,f2022,f2023,f2025,f2026,f2027,f1996,f2028,f2029,f1998,f2030,f2031,f1956,f2062,f2063,f2064,f2065,f2060,f2036,f2037,f2041,f2042,f2066,f2043,f2044,f2067,f2046,f2068,f2059,f2069,f2070,f2071,f2058,f2072,f2073,f2074,f2055,f2057,f1959,f2039,f2101,f2077,f2102,f2099,f2103,f2104,f2105,f2083,f2106,f2107,f2085,f2086,f2087,f2088,f2089,f2108,f2109,f2092,f1975,f2110,f2132,f2131,f2134,f2135,f2120,f2121,f2125,f528,f2136,f2169,f2170,f2167,f2166,f2171,f2165,f2172,f2173,f2174,f2147,f2175,f2164,f2176,f2163,f2177,f2178,f2179,f2181,f2182,f2183,f2158,f2184,f2160,f2185,f2186,f788,f2187,f2188,f2189,f2190,f2191,f2192,f2193,f2194,f2195,f2196,f1467,f2204,f2203,f2205,f1533,f2223,f2224,f2225,f2226,f2228,f2230,f2232,f2233,f2234,f2235,f2215,f1568,f1573,f1783,f2250,f2251,f2252,f2253,f2254,f1797,f533,f2280,f2279,f2281,f2282,f2283,f2274,f2284,f2267,f2268,f2273,f2272,f580,f581,f2300,f2302,f2304,f1502,f2312,f2313,f2314,f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).

fof(f2833,plain,
    ! [X0,X1] :
      ( ~ ordinal(X0)
      | element(X0,succ(succ(X1)))
      | ~ ordinal(succ(succ(X1)))
      | ~ ordinal(succ(succ(X0)))
      | ~ ordinal(X1)
      | in(X1,succ(succ(X0)))
      | succ(X1) = succ(succ(X0)) ),
    inference(resolution,[],[f2630,f1217]) ).

fof(f2832,plain,
    ! [X0] :
      ( ~ ordinal(X0)
      | element(X0,succ(succ(succ(succ(X0)))))
      | ~ ordinal(succ(succ(succ(succ(X0))))) ),
    inference(resolution,[],[f2630,f171]) ).

fof(f2630,plain,
    ! [X0,X1] :
      ( ~ in(succ(succ(X1)),X0)
      | ~ ordinal(X1)
      | element(X1,succ(X0))
      | ~ ordinal(succ(X0)) ),
    inference(resolution,[],[f1952,f205]) ).

fof(f2830,plain,
    ! [X0] :
      ( ~ ordinal(powerset(succ(X0)))
      | ~ ordinal(X0)
      | in(X0,powerset(succ(X0)))
      | succ(X0) = powerset(succ(X0))
      | empty(powerset(succ(X0))) ),
    inference(subsumption_resolution,[],[f2803,f180]) ).

fof(f2803,plain,
    ! [X0] :
      ( ~ ordinal(powerset(succ(X0)))
      | ~ ordinal(X0)
      | in(X0,powerset(succ(X0)))
      | succ(X0) = powerset(succ(X0))
      | ~ ordinal(succ(X0))
      | empty(powerset(succ(X0))) ),
    inference(duplicate_literal_removal,[],[f2802]) ).

fof(f2802,plain,
    ! [X0] :
      ( ~ ordinal(powerset(succ(X0)))
      | ~ ordinal(X0)
      | in(X0,powerset(succ(X0)))
      | succ(X0) = powerset(succ(X0))
      | ~ ordinal(succ(X0))
      | empty(powerset(succ(X0)))
      | ~ ordinal(powerset(succ(X0))) ),
    inference(resolution,[],[f1217,f1470]) ).

fof(f2801,plain,
    ! [X0,X1] :
      ( ~ ordinal(powerset(X0))
      | ~ ordinal(X1)
      | in(X1,powerset(X0))
      | succ(X1) = powerset(X0)
      | ~ subset(succ(X1),X0)
      | empty(powerset(X0)) ),
    inference(resolution,[],[f1217,f439]) ).

fof(f2829,plain,
    ! [X0,X1] :
      ( ~ ordinal(X1)
      | in(X1,succ(succ(X0)))
      | succ(X1) = succ(succ(X0))
      | element(X0,succ(X1))
      | ~ ordinal(succ(X0)) ),
    inference(subsumption_resolution,[],[f2828,f180]) ).

fof(f2828,plain,
    ! [X0,X1] :
      ( ~ ordinal(X1)
      | in(X1,succ(succ(X0)))
      | succ(X1) = succ(succ(X0))
      | ~ ordinal(succ(X1))
      | element(X0,succ(X1))
      | ~ ordinal(succ(X0)) ),
    inference(subsumption_resolution,[],[f2800,f180]) ).

fof(f2800,plain,
    ! [X0,X1] :
      ( ~ ordinal(succ(succ(X0)))
      | ~ ordinal(X1)
      | in(X1,succ(succ(X0)))
      | succ(X1) = succ(succ(X0))
      | ~ ordinal(succ(X1))
      | element(X0,succ(X1))
      | ~ ordinal(succ(X0)) ),
    inference(resolution,[],[f1217,f1614]) ).

fof(f2827,plain,
    ! [X0,X1] :
      ( ~ ordinal(succ(succ(X0)))
      | ~ ordinal(X1)
      | in(X1,succ(succ(X0)))
      | succ(X1) = succ(succ(X0))
      | element(X0,succ(succ(X1)))
      | ~ ordinal(X0) ),
    inference(subsumption_resolution,[],[f2799,f180]) ).

fof(f2799,plain,
    ! [X0,X1] :
      ( ~ ordinal(succ(succ(X0)))
      | ~ ordinal(X1)
      | in(X1,succ(succ(X0)))
      | succ(X1) = succ(succ(X0))
      | element(X0,succ(succ(X1)))
      | ~ ordinal(succ(X1))
      | ~ ordinal(X0) ),
    inference(resolution,[],[f1217,f2039]) ).

fof(f2826,plain,
    ! [X0,X1] :
      ( ~ ordinal(succ(succ(X0)))
      | ~ ordinal(X1)
      | in(X1,succ(succ(X0)))
      | succ(X1) = succ(succ(X0))
      | ~ ordinal(X0)
      | in(X0,succ(succ(succ(X1)))) ),
    inference(subsumption_resolution,[],[f2798,f180]) ).

fof(f2798,plain,
    ! [X0,X1] :
      ( ~ ordinal(succ(succ(X0)))
      | ~ ordinal(X1)
      | in(X1,succ(succ(X0)))
      | succ(X1) = succ(succ(X0))
      | ~ ordinal(succ(X1))
      | ~ ordinal(X0)
      | in(X0,succ(succ(succ(X1)))) ),
    inference(resolution,[],[f1217,f1821]) ).

fof(f2825,plain,
    ! [X0,X1] :
      ( ~ ordinal(X1)
      | in(X1,succ(X0))
      | succ(X0) = succ(X1)
      | ~ ordinal(X0)
      | in(X0,succ(succ(X1))) ),
    inference(subsumption_resolution,[],[f2824,f180]) ).

fof(f2824,plain,
    ! [X0,X1] :
      ( ~ ordinal(X1)
      | in(X1,succ(X0))
      | succ(X0) = succ(X1)
      | ~ ordinal(succ(X1))
      | ~ ordinal(X0)
      | in(X0,succ(succ(X1))) ),
    inference(subsumption_resolution,[],[f2797,f180]) ).

fof(f2797,plain,
    ! [X0,X1] :
      ( ~ ordinal(succ(X0))
      | ~ ordinal(X1)
      | in(X1,succ(X0))
      | succ(X0) = succ(X1)
      | ~ ordinal(succ(X1))
      | ~ ordinal(X0)
      | in(X0,succ(succ(X1))) ),
    inference(resolution,[],[f1217,f682]) ).

fof(f2823,plain,
    ! [X0,X1] :
      ( ~ ordinal(succ(X0))
      | ~ ordinal(X1)
      | in(X1,succ(X0))
      | succ(X0) = succ(X1)
      | in(X0,succ(succ(X1))) ),
    inference(subsumption_resolution,[],[f2804,f180]) ).

fof(f2804,plain,
    ! [X0,X1] :
      ( ~ ordinal(succ(X0))
      | ~ ordinal(X1)
      | in(X1,succ(X0))
      | succ(X0) = succ(X1)
      | ~ ordinal(succ(X1))
      | in(X0,succ(succ(X1))) ),
    inference(duplicate_literal_removal,[],[f2795]) ).

fof(f2795,plain,
    ! [X0,X1] :
      ( ~ ordinal(succ(X0))
      | ~ ordinal(X1)
      | in(X1,succ(X0))
      | succ(X0) = succ(X1)
      | ~ ordinal(succ(X1))
      | ~ ordinal(succ(X0))
      | in(X0,succ(succ(X1))) ),
    inference(resolution,[],[f1217,f1222]) ).

fof(f2822,plain,
    ! [X0,X1] :
      ( ~ ordinal(X1)
      | in(X1,succ(X0))
      | succ(X0) = succ(X1)
      | ~ ordinal(X0)
      | ~ ordinal(succ(succ(X1)))
      | in(X0,succ(succ(X1))) ),
    inference(subsumption_resolution,[],[f2794,f180]) ).

fof(f2794,plain,
    ! [X0,X1] :
      ( ~ ordinal(succ(X0))
      | ~ ordinal(X1)
      | in(X1,succ(X0))
      | succ(X0) = succ(X1)
      | ~ ordinal(X0)
      | ~ ordinal(succ(succ(X1)))
      | in(X0,succ(succ(X1))) ),
    inference(resolution,[],[f1217,f1235]) ).

fof(f2821,plain,
    ! [X0] :
      ( ~ ordinal(X0)
      | in(X0,succ(succ(sK3(succ(succ(X0))))))
      | succ(X0) = succ(succ(sK3(succ(succ(X0)))))
      | ~ ordinal(succ(sK3(succ(succ(X0))))) ),
    inference(subsumption_resolution,[],[f2820,f180]) ).

fof(f2820,plain,
    ! [X0] :
      ( ~ ordinal(X0)
      | in(X0,succ(succ(sK3(succ(succ(X0))))))
      | succ(X0) = succ(succ(sK3(succ(succ(X0)))))
      | ~ ordinal(succ(X0))
      | ~ ordinal(succ(sK3(succ(succ(X0))))) ),
    inference(subsumption_resolution,[],[f2792,f180]) ).

fof(f2792,plain,
    ! [X0] :
      ( ~ ordinal(succ(succ(sK3(succ(succ(X0))))))
      | ~ ordinal(X0)
      | in(X0,succ(succ(sK3(succ(succ(X0))))))
      | succ(X0) = succ(succ(sK3(succ(succ(X0)))))
      | ~ ordinal(succ(X0))
      | ~ ordinal(succ(sK3(succ(succ(X0))))) ),
    inference(resolution,[],[f1217,f1533]) ).

fof(f2819,plain,
    ! [X0] :
      ( ~ ordinal(X0)
      | in(X0,succ(succ(succ(succ(succ(X0))))))
      | ~ ordinal(succ(succ(succ(succ(X0))))) ),
    inference(global_subsumption,[],[f158,f160,f162,f166,f177,f248,f156,f159,f167,f168,f169,f219,f220,f221,f222,f223,f224,f225,f227,f228,f229,f230,f241,f242,f243,f244,f246,f170,f198,f157,f155,f171,f175,f190,f191,f192,f196,f153,f172,f178,f179,f180,f189,f259,f260,f261,f262,f199,f216,f193,f201,f202,f203,f205,f281,f206,f154,f173,f182,f200,f286,f289,f292,f285,f300,f295,f207,f213,f323,f214,f215,f324,f183,f338,f204,f340,f343,f335,f184,f212,f218,f348,f352,f354,f361,f362,f363,f364,f355,f369,f370,f373,f368,f174,f349,f350,f353,f356,f208,f209,f210,f217,f427,f428,f342,f441,f429,f347,f449,f351,f421,f460,f432,f439,f450,f185,f459,f472,f471,f475,f476,f466,f492,f493,f494,f496,f501,f490,f186,f522,f181,f540,f541,f535,f538,f546,f521,f337,f553,f555,f556,f423,f393,f562,f563,f489,f577,f578,f579,f403,f588,f589,f590,f502,f610,f611,f612,f420,f641,f642,f636,f646,f644,f649,f657,f653,f651,f443,f679,f552,f686,f689,f691,f701,f693,f463,f702,f703,f704,f705,f682,f713,f707,f717,f710,f684,f724,f722,f526,f736,f733,f740,f745,f746,f719,f753,f755,f757,f750,f582,f664,f675,f769,f768,f390,f789,f770,f771,f787,f812,f813,f814,f815,f816,f817,f818,f790,f436,f838,f635,f853,f854,f542,f856,f431,f857,f858,f859,f865,f557,f884,f885,f886,f887,f735,f893,f901,f903,f905,f897,f837,f921,f922,f923,f924,f911,f920,f919,f917,f906,f932,f931,f852,f951,f447,f957,f958,f959,f955,f956,f734,f964,f811,f891,f982,f984,f986,f988,f977,f916,f989,f990,f991,f918,f995,f996,f997,f950,f1004,f499,f1009,f1010,f1011,f1012,f500,f1037,f1038,f1039,f1040,f933,f994,f1075,f1077,f1062,f1063,f1064,f1078,f1066,f1079,f1080,f1069,f1070,f1071,f1072,f999,f1099,f1103,f1087,f1088,f1089,f1106,f1107,f1108,f1094,f1095,f1096,f1097,f1101,f1115,f1105,f1120,f1119,f1002,f1130,f1129,f1007,f1203,f1202,f1137,f1138,f1139,f1199,f1205,f1206,f1145,f1146,f1198,f1196,f1192,f1191,f1162,f1163,f1164,f1188,f1207,f1208,f1170,f1171,f1187,f1185,f645,f1215,f1055,f1252,f1250,f1256,f1248,f1257,f1258,f1230,f1259,f1237,f1261,f1262,f1263,f1264,f1243,f1255,f1266,f1270,f1271,f1268,f1274,f1283,f1276,f1277,f1284,f1278,f1285,f1279,f1253,f1295,f1296,f1293,f1289,f1298,f1308,f1309,f1310,f1303,f1059,f1323,f1324,f1325,f1317,f1318,f1319,f1084,f1338,f1340,f1332,f1333,f1341,f1222,f1366,f1363,f1367,f1368,f1369,f1370,f1371,f1352,f1235,f1373,f1374,f1388,f1390,f1391,f1392,f1393,f1394,f1395,f1379,f1396,f1397,f1381,f1398,f1382,f647,f1408,f1409,f1402,f1404,f1387,f1411,f1422,f1420,f1423,f1424,f1413,f1440,f1438,f1441,f1442,f1443,f1431,f1419,f1444,f444,f1468,f1462,f1461,f1471,f1470,f1489,f1487,f1490,f1491,f1492,f1477,f1483,f1482,f462,f1493,f1494,f1495,f1497,f1498,f1500,f1501,f1499,f1503,f1504,f1505,f1506,f1507,f1508,f1509,f1510,f1511,f468,f1513,f1512,f1514,f741,f1526,f1525,f1527,f1528,f1529,f1521,f699,f1541,f1542,f1543,f1544,f1546,f1548,f1539,f844,f1579,f1578,f1580,f1581,f1582,f1555,f1556,f1583,f1584,f1585,f1560,f1577,f1576,f1575,f1574,f1572,f1569,f1571,f845,f1612,f1613,f1611,f1610,f1609,f1592,f1608,f1607,f1606,f1615,f1616,f1617,f1620,f1604,f1622,f1619,f1623,f1624,f1621,f1628,f1629,f1627,f1659,f1658,f1661,f1662,f1641,f1642,f1643,f1663,f1664,f1646,f1665,f1649,f1650,f1656,f1652,f1654,f1632,f1692,f1691,f1694,f1695,f1674,f1675,f1676,f1696,f1697,f1679,f1698,f1682,f1683,f1689,f1685,f1687,f1637,f1712,f1713,f1714,f1705,f1706,f1707,f1708,f1709,f1670,f1728,f1729,f1730,f1721,f1722,f1723,f1724,f1725,f530,f1734,f1741,f1736,f1737,f1614,f1762,f1743,f1763,f1764,f1766,f1768,f1770,f1771,f1750,f1772,f1774,f1775,f1777,f1754,f1778,f1779,f862,f1780,f1781,f1782,f1785,f1800,f1787,f1788,f1789,f1801,f1802,f1792,f1793,f1803,f1804,f1796,f1798,f495,f1808,f1809,f1810,f715,f1871,f1872,f1869,f1818,f1819,f1823,f1824,f1873,f1825,f1826,f1874,f1875,f1868,f1876,f1867,f1877,f1878,f1879,f1835,f1866,f1880,f1881,f1864,f1840,f1841,f1843,f1845,f1846,f1847,f1848,f1882,f1883,f1863,f1884,f1862,f1885,f1886,f1887,f1857,f1861,f1860,f1890,f1891,f1904,f1901,f1906,f1893,f1924,f1922,f1925,f1926,f1913,f1914,f1915,f1903,f1951,f1958,f1960,f1961,f1962,f1963,f1939,f1964,f1968,f1942,f1969,f1970,f1928,f1900,f1973,f529,f2007,f2008,f2009,f2010,f2005,f2011,f2004,f2012,f2013,f2003,f2014,f2015,f2016,f2017,f1985,f2018,f2002,f2001,f2019,f2020,f2021,f2022,f2023,f2025,f2026,f2027,f1996,f2028,f2029,f1998,f2030,f2031,f1956,f2062,f2063,f2064,f2065,f2060,f2036,f2037,f2041,f2042,f2066,f2043,f2044,f2067,f2046,f2068,f2059,f2069,f2070,f2071,f2058,f2072,f2073,f2074,f2055,f2057,f1959,f2039,f2101,f2077,f2102,f2099,f2103,f2104,f2105,f2083,f2106,f2107,f2085,f2086,f2087,f2088,f2089,f2108,f2109,f2092,f1975,f2110,f2132,f2131,f2134,f2135,f2120,f2121,f2125,f528,f2136,f2169,f2170,f2167,f2166,f2171,f2165,f2172,f2173,f2174,f2147,f2175,f2164,f2176,f2163,f2177,f2178,f2179,f2181,f2182,f2183,f2158,f2184,f2160,f2185,f2186,f788,f2187,f2188,f2189,f2190,f2191,f2192,f2193,f2194,f2195,f2196,f1467,f2204,f2203,f2205,f1533,f2223,f2224,f2225,f2226,f2228,f2230,f2232,f2233,f2234,f2235,f2215,f1568,f1573,f1783,f2250,f2251,f2252,f2253,f2254,f1797,f533,f2280,f2279,f2281,f2282,f2283,f2274,f2284,f2267,f2268,f2273,f2272,f580,f581,f2300,f2302,f2304,f1502,f2312,f2313,f2314,f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).

fof(f2818,plain,
    ! [X0] :
      ( ~ ordinal(X0)
      | in(X0,succ(succ(succ(succ(succ(X0))))))
      | succ(X0) = succ(succ(succ(succ(succ(X0)))))
      | ~ ordinal(succ(succ(succ(succ(X0))))) ),
    inference(subsumption_resolution,[],[f2817,f180]) ).

fof(f2817,plain,
    ! [X0] :
      ( ~ ordinal(X0)
      | in(X0,succ(succ(succ(succ(succ(X0))))))
      | succ(X0) = succ(succ(succ(succ(succ(X0)))))
      | ~ ordinal(succ(succ(succ(succ(X0)))))
      | ~ ordinal(succ(X0)) ),
    inference(subsumption_resolution,[],[f2788,f180]) ).

fof(f2788,plain,
    ! [X0] :
      ( ~ ordinal(succ(succ(succ(succ(succ(X0))))))
      | ~ ordinal(X0)
      | in(X0,succ(succ(succ(succ(succ(X0))))))
      | succ(X0) = succ(succ(succ(succ(succ(X0)))))
      | ~ ordinal(succ(succ(succ(succ(X0)))))
      | ~ ordinal(succ(X0)) ),
    inference(resolution,[],[f1217,f2542]) ).

fof(f2816,plain,
    ! [X0] :
      ( ~ ordinal(succ(succ(succ(succ(X0)))))
      | ~ ordinal(X0)
      | in(X0,succ(succ(succ(succ(X0)))))
      | succ(X0) = succ(succ(succ(succ(X0)))) ),
    inference(global_subsumption,[],[f158,f160,f162,f166,f177,f248,f156,f159,f167,f168,f169,f219,f220,f221,f222,f223,f224,f225,f227,f228,f229,f230,f241,f242,f243,f244,f246,f170,f198,f157,f155,f171,f175,f190,f191,f192,f196,f153,f172,f178,f179,f180,f189,f259,f260,f261,f262,f199,f216,f193,f201,f202,f203,f205,f281,f206,f154,f173,f182,f200,f286,f289,f292,f285,f300,f295,f207,f213,f323,f214,f215,f324,f183,f338,f204,f340,f343,f335,f184,f212,f218,f348,f352,f354,f361,f362,f363,f364,f355,f369,f370,f373,f368,f174,f349,f350,f353,f356,f208,f209,f210,f217,f427,f428,f342,f441,f429,f347,f449,f351,f421,f460,f432,f439,f450,f185,f459,f472,f471,f475,f476,f466,f492,f493,f494,f496,f501,f490,f186,f522,f181,f540,f541,f535,f538,f546,f521,f337,f553,f555,f556,f423,f393,f562,f563,f489,f577,f578,f579,f403,f588,f589,f590,f502,f610,f611,f612,f420,f641,f642,f636,f646,f644,f649,f657,f653,f651,f443,f679,f552,f686,f689,f691,f701,f693,f463,f702,f703,f704,f705,f682,f713,f707,f717,f710,f684,f724,f722,f526,f736,f733,f740,f745,f746,f719,f753,f755,f757,f750,f582,f664,f675,f769,f768,f390,f789,f770,f771,f787,f812,f813,f814,f815,f816,f817,f818,f790,f436,f838,f635,f853,f854,f542,f856,f431,f857,f858,f859,f865,f557,f884,f885,f886,f887,f735,f893,f901,f903,f905,f897,f837,f921,f922,f923,f924,f911,f920,f919,f917,f906,f932,f931,f852,f951,f447,f957,f958,f959,f955,f956,f734,f964,f811,f891,f982,f984,f986,f988,f977,f916,f989,f990,f991,f918,f995,f996,f997,f950,f1004,f499,f1009,f1010,f1011,f1012,f500,f1037,f1038,f1039,f1040,f933,f994,f1075,f1077,f1062,f1063,f1064,f1078,f1066,f1079,f1080,f1069,f1070,f1071,f1072,f999,f1099,f1103,f1087,f1088,f1089,f1106,f1107,f1108,f1094,f1095,f1096,f1097,f1101,f1115,f1105,f1120,f1119,f1002,f1130,f1129,f1007,f1203,f1202,f1137,f1138,f1139,f1199,f1205,f1206,f1145,f1146,f1198,f1196,f1192,f1191,f1162,f1163,f1164,f1188,f1207,f1208,f1170,f1171,f1187,f1185,f645,f1215,f1055,f1252,f1250,f1256,f1248,f1257,f1258,f1230,f1259,f1237,f1261,f1262,f1263,f1264,f1243,f1255,f1266,f1270,f1271,f1268,f1274,f1283,f1276,f1277,f1284,f1278,f1285,f1279,f1253,f1295,f1296,f1293,f1289,f1298,f1308,f1309,f1310,f1303,f1059,f1323,f1324,f1325,f1317,f1318,f1319,f1084,f1338,f1340,f1332,f1333,f1341,f1222,f1366,f1363,f1367,f1368,f1369,f1370,f1371,f1352,f1235,f1373,f1374,f1388,f1390,f1391,f1392,f1393,f1394,f1395,f1379,f1396,f1397,f1381,f1398,f1382,f647,f1408,f1409,f1402,f1404,f1387,f1411,f1422,f1420,f1423,f1424,f1413,f1440,f1438,f1441,f1442,f1443,f1431,f1419,f1444,f444,f1468,f1462,f1461,f1471,f1470,f1489,f1487,f1490,f1491,f1492,f1477,f1483,f1482,f462,f1493,f1494,f1495,f1497,f1498,f1500,f1501,f1499,f1503,f1504,f1505,f1506,f1507,f1508,f1509,f1510,f1511,f468,f1513,f1512,f1514,f741,f1526,f1525,f1527,f1528,f1529,f1521,f699,f1541,f1542,f1543,f1544,f1546,f1548,f1539,f844,f1579,f1578,f1580,f1581,f1582,f1555,f1556,f1583,f1584,f1585,f1560,f1577,f1576,f1575,f1574,f1572,f1569,f1571,f845,f1612,f1613,f1611,f1610,f1609,f1592,f1608,f1607,f1606,f1615,f1616,f1617,f1620,f1604,f1622,f1619,f1623,f1624,f1621,f1628,f1629,f1627,f1659,f1658,f1661,f1662,f1641,f1642,f1643,f1663,f1664,f1646,f1665,f1649,f1650,f1656,f1652,f1654,f1632,f1692,f1691,f1694,f1695,f1674,f1675,f1676,f1696,f1697,f1679,f1698,f1682,f1683,f1689,f1685,f1687,f1637,f1712,f1713,f1714,f1705,f1706,f1707,f1708,f1709,f1670,f1728,f1729,f1730,f1721,f1722,f1723,f1724,f1725,f530,f1734,f1741,f1736,f1737,f1614,f1762,f1743,f1763,f1764,f1766,f1768,f1770,f1771,f1750,f1772,f1774,f1775,f1777,f1754,f1778,f1779,f862,f1780,f1781,f1782,f1785,f1800,f1787,f1788,f1789,f1801,f1802,f1792,f1793,f1803,f1804,f1796,f1798,f495,f1808,f1809,f1810,f715,f1871,f1872,f1869,f1818,f1819,f1823,f1824,f1873,f1825,f1826,f1874,f1875,f1868,f1876,f1867,f1877,f1878,f1879,f1835,f1866,f1880,f1881,f1864,f1840,f1841,f1843,f1845,f1846,f1847,f1848,f1882,f1883,f1863,f1884,f1862,f1885,f1886,f1887,f1857,f1861,f1860,f1890,f1891,f1904,f1901,f1906,f1893,f1924,f1922,f1925,f1926,f1913,f1914,f1915,f1903,f1951,f1958,f1960,f1961,f1962,f1963,f1939,f1964,f1968,f1942,f1969,f1970,f1928,f1900,f1973,f529,f2007,f2008,f2009,f2010,f2005,f2011,f2004,f2012,f2013,f2003,f2014,f2015,f2016,f2017,f1985,f2018,f2002,f2001,f2019,f2020,f2021,f2022,f2023,f2025,f2026,f2027,f1996,f2028,f2029,f1998,f2030,f2031,f1956,f2062,f2063,f2064,f2065,f2060,f2036,f2037,f2041,f2042,f2066,f2043,f2044,f2067,f2046,f2068,f2059,f2069,f2070,f2071,f2058,f2072,f2073,f2074,f2055,f2057,f1959,f2039,f2101,f2077,f2102,f2099,f2103,f2104,f2105,f2083,f2106,f2107,f2085,f2086,f2087,f2088,f2089,f2108,f2109,f2092,f1975,f2110,f2132,f2131,f2134,f2135,f2120,f2121,f2125,f528,f2136,f2169,f2170,f2167,f2166,f2171,f2165,f2172,f2173,f2174,f2147,f2175,f2164,f2176,f2163,f2177,f2178,f2179,f2181,f2182,f2183,f2158,f2184,f2160,f2185,f2186,f788,f2187,f2188,f2189,f2190,f2191,f2192,f2193,f2194,f2195,f2196,f1467,f2204,f2203,f2205,f1533,f2223,f2224,f2225,f2226,f2228,f2230,f2232,f2233,f2234,f2235,f2215,f1568,f1573,f1783,f2250,f2251,f2252,f2253,f2254,f1797,f533,f2280,f2279,f2281,f2282,f2283,f2274,f2284,f2267,f2268,f2273,f2272,f580,f581,f2300,f2302,f2304,f1502,f2312,f2313,f2314,f2315,f2316,f2317,f2318,f2319,f2320,f2321,f1625,f2322,f2323,f2324,f2325,f1630,f2326,f2327,f2328,f2329,f1813,f2330,f2331,f2335,f2337,f2338,f2339,f2340,f2341,f2342,f2343,f2344,f2345,f2346,f2347,f2348,f2349,f2350,f2352,f2351,f2359,f2361,f2362,f2363,f2364,f2365,f2366,f2332,f2369,f2370,f2371,f2372,f2373,f2374,f2375,f2376,f2377,f2358,f2389,f2390,f2391,f2392,f2393,f2394,f2395,f2396,f2397,f461,f2406,f2407,f2408,f2409,f2410,f2411,f2412,f2413,f2414,f2415,f2416,f2417,f2418,f1821,f2444,f2420,f2445,f2442,f2446,f2447,f2448,f2426,f2449,f2428,f2429,f2430,f2431,f2432,f2450,f2451,f2435,f2238,f2465,f2463,f2462,f2466,f2467,f2240,f2480,f2478,f2481,f2482,f2483,f1074,f2505,f1076,f2512,f2511,f1098,f2528,f2534,f1905,f2557,f2555,f2558,f2559,f2561,f2562,f2563,f2565,f2567,f2568,f2569,f2571,f2552,f2333,f2575,f2576,f2577,f2578,f2579,f2459,f2589,f2475,f2595,f667,f1114,f2614,f2615,f2616,f2617,f2618,f2619,f2607,f2608,f2609,f2610,f2620,f2621,f1952,f2651,f2652,f2654,f2627,f2628,f2630,f2632,f2633,f2634,f2635,f2636,f2655,f2637,f2638,f2656,f2657,f2658,f2640,f2659,f2641,f2642,f2660,f2644,f2645,f2646,f2647,f2648,f2661,f2649,f2662,f1954,f1966,f2133,f2667,f2542,f2687,f2688,f2689,f2691,f2693,f2695,f2674,f2696,f2697,f2698,f2678,f765,f2699,f2700,f2702,f2704,f2709,f2703,f2701,f2705,f1212,f2753,f2706,f767,f1272,f2772,f1217,f2810,f2808,f2811,f2812,f2781,f2814,f2815,f2786]) ).

fof(f2786,plain,
    ! [X0] :
      ( ~ ordinal(succ(succ(succ(succ(X0)))))
      | ~ ordinal(X0)
      | in(X0,succ(succ(succ(succ(X0)))))
      | succ(X0) = succ(succ(succ(succ(X0))))
      | ~ ordinal(succ(succ(X0))) ),
    inference(resolution,[],[f1217,f1268]) ).

fof(f2815,plain,
    ! [X0] :
      ( ~ ordinal(succ(succ(succ(succ(X0)))))
      | ~ ordinal(X0)
      | in(X0,succ(succ(succ(succ(X0)))))
      | succ(X0) = succ(succ(succ(succ(X0)))) ),
    inference(subsumption_resolution,[],[f2785,f180]) ).

fof(f2785,plain,
    ! [X0] :
      ( ~ ordinal(succ(succ(succ(succ(X0)))))
      | ~ ordinal(X0)
      | in(X0,succ(succ(succ(succ(X0)))))
      | succ(X0) = succ(succ(succ(succ(X0))))
      | ~ ordinal(succ(X0)) ),
    inference(resolution,[],[f1217,f1413]) ).

fof(f2814,plain,
    ! [X0] :
      ( ~ ordinal(succ(sK3(succ(X0))))
      | ~ ordinal(X0)
      | in(X0,succ(sK3(succ(X0))))
      | succ(X0) = succ(sK3(succ(X0))) ),
    inference(subsumption_resolution,[],[f2813,f180]) ).

fof(f2813,plain,
    ! [X0] :
      ( ~ ordinal(succ(sK3(succ(X0))))
      | ~ ordinal(X0)
      | in(X0,succ(sK3(succ(X0))))
      | succ(X0) = succ(sK3(succ(X0)))
      | ~ ordinal(succ(X0)) ),
    inference(subsumption_resolution,[],[f2784,f546]) ).

fof(f2784,plain,
    ! [X0] :
      ( ~ ordinal(succ(sK3(succ(X0))))
      | ~ ordinal(X0)
      | in(X0,succ(sK3(succ(X0))))
      | succ(X0) = succ(sK3(succ(X0)))
      | being_limit_ordinal(succ(X0))
      | ~ ordinal(succ(X0)) ),
    inference(resolution,[],[f1217,f184]) ).

fof(f2781,plain,
    ! [X0,X1] :
      ( ~ ordinal(X0)
      | ~ ordinal(X1)
      | in(X1,X0)
      | succ(X1) = X0
      | ~ in(succ(X1),X0) ),
    inference(resolution,[],[f1217,f205]) ).

fof(f2812,plain,
    ! [X2,X0,X1] :
      ( ~ ordinal(X0)
      | ~ ordinal(X1)
      | in(X1,X0)
      | succ(X1) = X0
      | element(X0,X2)
      | ~ ordinal(X2)
      | ordinal_subset(X2,succ(X1)) ),
    inference(subsumption_resolution,[],[f2779,f180]) ).

fof(f2779,plain,
    ! [X2,X0,X1] :
      ( ~ ordinal(X0)
      | ~ ordinal(X1)
      | in(X1,X0)
      | succ(X1) = X0
      | element(X0,X2)
      | ~ ordinal(X2)
      | ~ ordinal(succ(X1))
      | ordinal_subset(X2,succ(X1)) ),
    inference(resolution,[],[f1217,f837]) ).

fof(f2811,plain,
    ! [X2,X0,X1] :
      ( ~ ordinal(X0)
      | ~ ordinal(X1)
      | in(X1,X0)
      | succ(X1) = X0
      | element(X0,succ(X2))
      | ~ ordinal(X2)
      | in(X2,succ(X1)) ),
    inference(subsumption_resolution,[],[f2778,f180]) ).

fof(f2778,plain,
    ! [X2,X0,X1] :
      ( ~ ordinal(X0)
      | ~ ordinal(X1)
      | in(X1,X0)
      | succ(X1) = X0
      | element(X0,succ(X2))
      | ~ ordinal(succ(X1))
      | ~ ordinal(X2)
      | in(X2,succ(X1)) ),
    inference(resolution,[],[f1217,f844]) ).

fof(f2808,plain,
    ! [X2,X0,X1] :
      ( ~ ordinal(X0)
      | ~ ordinal(X1)
      | in(X1,X0)
      | succ(X1) = X0
      | element(X0,X2)
      | ~ ordinal(X2)
      | ~ in(X1,X2) ),
    inference(duplicate_literal_removal,[],[f2775]) ).

fof(f2775,plain,
    ! [X2,X0,X1] :
      ( ~ ordinal(X0)
      | ~ ordinal(X1)
      | in(X1,X0)
      | succ(X1) = X0
      | element(X0,X2)
      | ~ ordinal(X2)
      | ~ in(X1,X2)
      | ~ ordinal(X1) ),
    inference(resolution,[],[f1217,f845]) ).

fof(f2810,plain,
    ! [X2,X0,X1] :
      ( ~ ordinal(X0)
      | ~ ordinal(X1)
      | in(X1,X0)
      | succ(X1) = X0
      | ~ being_limit_ordinal(powerset(X2))
      | ~ ordinal(powerset(X2))
      | ~ in(X1,powerset(X2))
      | element(X0,X2) ),
    inference(duplicate_literal_removal,[],[f2773]) ).

fof(f2773,plain,
    ! [X2,X0,X1] :
      ( ~ ordinal(X0)
      | ~ ordinal(X1)
      | in(X1,X0)
      | succ(X1) = X0
      | ~ ordinal(X1)
      | ~ being_limit_ordinal(powerset(X2))
      | ~ ordinal(powerset(X2))
      | ~ in(X1,powerset(X2))
      | element(X0,X2) ),
    inference(resolution,[],[f1217,f528]) ).

fof(f1217,plain,
    ! [X0,X1] :
      ( in(X1,succ(X0))
      | ~ ordinal(X1)
      | ~ ordinal(X0)
      | in(X0,X1)
      | succ(X0) = X1 ),
    inference(subsumption_resolution,[],[f1216,f180]) ).

fof(f1216,plain,
    ! [X0,X1] :
      ( succ(X0) = X1
      | ~ ordinal(X1)
      | ~ ordinal(X0)
      | in(X0,X1)
      | in(X1,succ(X0))
      | ~ ordinal(succ(X0)) ),
    inference(subsumption_resolution,[],[f1211,f175]) ).

fof(f1211,plain,
    ! [X0,X1] :
      ( succ(X0) = X1
      | ~ ordinal(X1)
      | ~ ordinal(X0)
      | in(X0,X1)
      | in(X1,succ(X0))
      | ~ ordinal(succ(X0))
      | ~ epsilon_transitive(X1) ),
    inference(resolution,[],[f645,f174]) ).

fof(f2772,plain,
    ! [X0] :
      ( ~ ordinal(succ(powerset(X0)))
      | empty(powerset(X0))
      | ~ ordinal_subset(succ(succ(succ(powerset(X0)))),X0)
      | ~ ordinal(X0)
      | ~ ordinal(succ(succ(succ(powerset(X0))))) ),
    inference(resolution,[],[f1272,f209]) ).

fof(f1272,plain,
    ! [X0] :
      ( ~ subset(succ(succ(succ(powerset(X0)))),X0)
      | ~ ordinal(succ(powerset(X0)))
      | empty(powerset(X0)) ),
    inference(resolution,[],[f1255,f439]) ).

fof(f767,plain,
    ! [X2,X0,X1] :
      ( ~ sP0(X1)
      | sK1(X1) = X0
      | ~ empty(X2)
      | ordinal_subset(X2,sK1(X1))
      | ~ empty(X0) ),
    inference(resolution,[],[f675,f153]) ).

fof(f2706,plain,
    ! [X0,X1] :
      ( succ(sK9) = X0
      | ~ empty(X1)
      | ordinal_subset(X1,succ(sK9))
      | ~ empty(X0) ),
    inference(resolution,[],[f765,f229]) ).

fof(f2753,plain,
    ! [X0,X1] :
      ( ~ ordinal(X0)
      | ~ ordinal(X1)
      | in(X1,X0)
      | succ(X1) = X0
      | in(X0,succ(X1)) ),
    inference(subsumption_resolution,[],[f2751,f180]) ).

fof(f2751,plain,
    ! [X0,X1] :
      ( ~ ordinal(X0)
      | ~ ordinal(X1)
      | in(X1,X0)
      | succ(X1) = X0
      | ~ ordinal(succ(X1))
      | in(X0,succ(X1)) ),
    inference(duplicate_literal_removal,[],[f2742]) ).

fof(f2742,plain,
    ! [X0,X1] :
      ( ~ ordinal(X0)
      | ~ ordinal(X1)
      | in(X1,X0)
      | succ(X1) = X0
      | succ(X1) = X0
      | ~ ordinal(X0)
      | ~ ordinal(succ(X1))
      | in(X0,succ(X1)) ),
    inference(resolution,[],[f1212,f950]) ).

fof(f1212,plain,
    ! [X0,X1] :
      ( ~ proper_subset(succ(X0),X1)
      | ~ ordinal(X1)
      | ~ ordinal(X0)
      | in(X0,X1)
      | succ(X0) = X1 ),
    inference(resolution,[],[f645,f203]) ).

fof(f2705,plain,
    ! [X0,X1] :
      ( succ(sK7) = X0
      | ~ empty(X1)
      | ordinal_subset(X1,succ(sK7))
      | ~ empty(X0) ),
    inference(resolution,[],[f765,f224]) ).

fof(f2701,plain,
    ! [X0,X1] :
      ( succ(empty_set) = X0
      | ~ empty(X1)
      | ordinal_subset(X1,succ(empty_set))
      | ~ empty(X0) ),
    inference(resolution,[],[f765,f169]) ).

fof(f2703,plain,
    ! [X0,X1] :
      ( succ(sK2) = X0
      | ~ empty(X1)
      | ordinal_subset(X1,succ(sK2))
      | ~ empty(X0) ),
    inference(resolution,[],[f765,f156]) ).

fof(f2709,plain,
    ! [X0,X1] :
      ( ordinal_subset(X1,succ(empty_set))
      | succ(empty_set) = X0
      | ~ empty(X1)
      | ~ empty(X0) ),
    inference(forward_demodulation,[],[f2708,f261]) ).

fof(f2708,plain,
    ! [X0,X1] :
      ( succ(empty_set) = X0
      | ~ empty(X1)
      | ordinal_subset(X1,succ(sK15))
      | ~ empty(X0) ),
    inference(forward_demodulation,[],[f2707,f261]) ).

fof(f2707,plain,
    ! [X0,X1] :
      ( succ(sK15) = X0
      | ~ empty(X1)
      | ordinal_subset(X1,succ(sK15))
      | ~ empty(X0) ),
    inference(resolution,[],[f765,f244]) ).

fof(f2704,plain,
    ! [X2,X0,X1] :
      ( succ(sK3(X0)) = X1
      | ~ empty(X2)
      | ordinal_subset(X2,succ(sK3(X0)))
      | ~ empty(X1)
      | being_limit_ordinal(X0)
      | ~ ordinal(X0) ),
    inference(resolution,[],[f765,f182]) ).

fof(f2702,plain,
    ! [X2,X0,X1] :
      ( succ(sK1(X0)) = X1
      | ~ empty(X2)
      | ordinal_subset(X2,succ(sK1(X0)))
      | ~ empty(X1)
      | ~ sP0(X0) ),
    inference(resolution,[],[f765,f153]) ).

fof(f2700,plain,
    ! [X2,X0,X1] :
      ( succ(succ(X0)) = X1
      | ~ empty(X2)
      | ordinal_subset(X2,succ(succ(X0)))
      | ~ empty(X1)
      | ~ ordinal(X0) ),
    inference(resolution,[],[f765,f180]) ).

fof(f765,plain,
    ! [X2,X0,X1] :
      ( ~ ordinal(X1)
      | succ(X1) = X0
      | ~ empty(X2)
      | ordinal_subset(X2,succ(X1))
      | ~ empty(X0) ),
    inference(resolution,[],[f675,f180]) ).

fof(f2678,plain,
    ! [X0] :
      ( ~ ordinal(succ(succ(succ(powerset(X0)))))
      | ~ ordinal(powerset(X0))
      | empty(powerset(X0))
      | ~ subset(succ(succ(succ(succ(powerset(X0))))),X0) ),
    inference(resolution,[],[f2542,f342]) ).

fof(f2698,plain,
    ! [X0] :
      ( ~ ordinal(succ(succ(succ(succ(succ(X0))))))
      | ~ ordinal(succ(succ(X0)))
      | in(X0,succ(succ(succ(succ(succ(succ(succ(succ(X0)))))))))
      | ~ ordinal(X0) ),
    inference(subsumption_resolution,[],[f2677,f180]) ).

fof(f2677,plain,
    ! [X0] :
      ( ~ ordinal(succ(succ(succ(succ(succ(X0))))))
      | ~ ordinal(succ(succ(X0)))
      | in(X0,succ(succ(succ(succ(succ(succ(succ(succ(X0)))))))))
      | ~ ordinal(succ(succ(succ(succ(succ(succ(X0)))))))
      | ~ ordinal(X0) ),
    inference(resolution,[],[f2542,f715]) ).

fof(f2697,plain,
    ! [X0] :
      ( ~ ordinal(succ(succ(succ(succ(succ(X0))))))
      | ~ ordinal(succ(succ(X0)))
      | in(X0,succ(succ(succ(succ(succ(succ(succ(succ(X0)))))))))
      | ~ ordinal(X0) ),
    inference(subsumption_resolution,[],[f2676,f180]) ).

fof(f2676,plain,
    ! [X0] :
      ( ~ ordinal(succ(succ(succ(succ(succ(X0))))))
      | ~ ordinal(succ(succ(X0)))
      | in(X0,succ(succ(succ(succ(succ(succ(succ(succ(X0)))))))))
      | ~ ordinal(X0)
      | ~ ordinal(succ(succ(succ(succ(succ(succ(X0))))))) ),
    inference(resolution,[],[f2542,f715]) ).

fof(f2696,plain,
    ! [X0] :
      ( ~ ordinal(succ(succ(succ(succ(succ(X0))))))
      | ~ ordinal(succ(succ(X0)))
      | ~ ordinal(X0)
      | element(X0,succ(succ(succ(succ(succ(succ(succ(X0)))))))) ),
    inference(subsumption_resolution,[],[f2675,f180]) ).

fof(f2675,plain,
    ! [X0] :
      ( ~ ordinal(succ(succ(succ(succ(succ(X0))))))
      | ~ ordinal(succ(succ(X0)))
      | ~ ordinal(X0)
      | element(X0,succ(succ(succ(succ(succ(succ(succ(X0))))))))
      | ~ ordinal(succ(succ(succ(succ(succ(succ(X0))))))) ),
    inference(resolution,[],[f2542,f1956]) ).

fof(f2674,plain,
    ! [X0] :
      ( ~ ordinal(succ(succ(succ(succ(succ(X0))))))
      | ~ ordinal(succ(succ(X0)))
      | ~ ordinal(succ(succ(succ(succ(succ(succ(succ(X0))))))))
      | ~ ordinal(X0)
      | element(X0,succ(succ(succ(succ(succ(succ(succ(X0)))))))) ),
    inference(resolution,[],[f2542,f1952]) ).

fof(f2695,plain,
    ! [X0] :
      ( ~ ordinal(succ(succ(succ(succ(X0)))))
      | in(X0,succ(succ(succ(succ(succ(succ(X0)))))))
      | ~ ordinal(X0) ),
    inference(subsumption_resolution,[],[f2694,f180]) ).

fof(f2694,plain,
    ! [X0] :
      ( ~ ordinal(succ(succ(succ(succ(X0)))))
      | in(X0,succ(succ(succ(succ(succ(succ(X0)))))))
      | ~ ordinal(succ(succ(succ(succ(succ(X0))))))
      | ~ ordinal(X0) ),
    inference(subsumption_resolution,[],[f2673,f180]) ).

fof(f2673,plain,
    ! [X0] :
      ( ~ ordinal(succ(succ(succ(succ(X0)))))
      | ~ ordinal(succ(X0))
      | in(X0,succ(succ(succ(succ(succ(succ(X0)))))))
      | ~ ordinal(succ(succ(succ(succ(succ(X0))))))
      | ~ ordinal(X0) ),
    inference(resolution,[],[f2542,f552]) ).

fof(f2693,plain,
    ! [X0] :
      ( ~ ordinal(succ(succ(succ(succ(X0)))))
      | in(X0,succ(succ(succ(succ(succ(succ(X0)))))))
      | ~ ordinal(X0) ),
    inference(subsumption_resolution,[],[f2692,f180]) ).

fof(f2692,plain,
    ! [X0] :
      ( ~ ordinal(succ(succ(succ(succ(X0)))))
      | in(X0,succ(succ(succ(succ(succ(succ(X0)))))))
      | ~ ordinal(X0)
      | ~ ordinal(succ(succ(succ(succ(succ(X0)))))) ),
    inference(subsumption_resolution,[],[f2672,f180]) ).

fof(f2672,plain,
    ! [X0] :
      ( ~ ordinal(succ(succ(succ(succ(X0)))))
      | ~ ordinal(succ(X0))
      | in(X0,succ(succ(succ(succ(succ(succ(X0)))))))
      | ~ ordinal(X0)
      | ~ ordinal(succ(succ(succ(succ(succ(X0)))))) ),
    inference(resolution,[],[f2542,f552]) ).

fof(f2691,plain,
    ! [X0] :
      ( ~ ordinal(succ(succ(succ(succ(X0)))))
      | ~ being_limit_ordinal(X0)
      | ~ ordinal(X0)
      | ~ in(succ(succ(succ(succ(succ(X0))))),X0) ),
    inference(subsumption_resolution,[],[f2690,f180]) ).

fof(f2690,plain,
    ! [X0] :
      ( ~ ordinal(succ(succ(succ(succ(X0)))))
      | ~ being_limit_ordinal(X0)
      | ~ ordinal(X0)
      | ~ in(succ(succ(succ(succ(succ(X0))))),X0)
      | ~ ordinal(succ(succ(succ(succ(succ(X0)))))) ),
    inference(subsumption_resolution,[],[f2671,f180]) ).

fof(f2671,plain,
    ! [X0] :
      ( ~ ordinal(succ(succ(succ(succ(X0)))))
      | ~ ordinal(succ(X0))
      | ~ being_limit_ordinal(X0)
      | ~ ordinal(X0)
      | ~ in(succ(succ(succ(succ(succ(X0))))),X0)
      | ~ ordinal(succ(succ(succ(succ(succ(X0)))))) ),
    inference(resolution,[],[f2542,f735]) ).

fof(f2689,plain,
    ! [X0] :
      ( ~ ordinal(succ(succ(succ(succ(X0)))))
      | ~ ordinal(succ(X0))
      | in(X0,succ(succ(succ(succ(succ(succ(X0))))))) ),
    inference(subsumption_resolution,[],[f2685,f180]) ).

fof(f2685,plain,
    ! [X0] :
      ( ~ ordinal(succ(succ(succ(succ(X0)))))
      | ~ ordinal(succ(X0))
      | in(X0,succ(succ(succ(succ(succ(succ(X0)))))))
      | ~ ordinal(succ(succ(succ(succ(succ(X0)))))) ),
    inference(duplicate_literal_removal,[],[f2670]) ).

fof(f2670,plain,
    ! [X0] :
      ( ~ ordinal(succ(succ(succ(succ(X0)))))
      | ~ ordinal(succ(X0))
      | in(X0,succ(succ(succ(succ(succ(succ(X0)))))))
      | ~ ordinal(succ(succ(succ(succ(succ(X0))))))
      | ~ ordinal(succ(X0)) ),
    inference(resolution,[],[f2542,f1055]) ).

fof(f2688,plain,
    ! [X0] :
      ( ~ ordinal(succ(succ(succ(succ(X0)))))
      | in(X0,succ(succ(succ(succ(succ(succ(X0)))))))
      | ~ ordinal(X0) ),
    inference(global_subsumption,[],[f158,f160,f162,f166,f177,f248,f156,f159,f167,f168,f169,f219,f220,f221,f222,f223,f224,f225,f227,f228,f229,f230,f241,f242,f243,f244,f246,f170,f198,f157,f155,f171,f175,f190,f191,f192,f196,f153,f172,f178,f179,f180,f189,f259,f260,f261,f262,f199,f216,f193,f201,f202,f203,f205,f281,f206,f154,f173,f182,f200,f286,f289,f292,f285,f300,f295,f207,f213,f323,f214,f215,f324,f183,f338,f204,f340,f343,f335,f184,f212,f218,f348,f352,f354,f361,f362,f363,f364,f355,f369,f370,f373,f368,f174,f349,f350,f353,f356,f208,f209,f210,f217,f427,f428,f342,f441,f429,f347,f449,f351,f421,f460,f432,f439,f450,f185,f459,f472,f471,f475,f476,f466,f492,f493,f494,f496,f501,f490,f186,f522,f181,f540,f541,f535,f538,f546,f521,f337,f553,f555,f556,f423,f393,f562,f563,f489,f577,f578,f579,f403,f588,f589,f590,f502,f610,f611,f612,f420,f641,f642,f636,f646,f644,f649,f657,f653,f651,f443,f679,f552,f686,f689,f691,f701,f693,f463,f702,f703,f704,f705,f682,f713,f707,f717,f710,f684,f724,f722,f526,f736,f733,f740,f745,f746,f719,f753,f755,f757,f750,f582,f664,f675,f765,f767,f769,f768,f390,f789,f770,f771,f787,f812,f813,f814,f815,f816,f817,f818,f790,f436,f838,f635,f853,f854,f542,f856,f431,f857,f858,f859,f865,f557,f884,f885,f886,f887,f735,f893,f901,f903,f905,f897,f837,f921,f922,f923,f924,f911,f920,f919,f917,f906,f932,f931,f852,f951,f447,f957,f958,f959,f955,f956,f734,f964,f811,f891,f982,f984,f986,f988,f977,f916,f989,f990,f991,f918,f995,f996,f997,f950,f1004,f499,f1009,f1010,f1011,f1012,f500,f1037,f1038,f1039,f1040,f933,f994,f1075,f1077,f1062,f1063,f1064,f1078,f1066,f1079,f1080,f1069,f1070,f1071,f1072,f999,f1099,f1103,f1087,f1088,f1089,f1106,f1107,f1108,f1094,f1095,f1096,f1097,f1101,f1115,f1105,f1120,f1119,f1002,f1130,f1129,f1007,f1203,f1202,f1137,f1138,f1139,f1199,f1205,f1206,f1145,f1146,f1198,f1196,f1192,f1191,f1162,f1163,f1164,f1188,f1207,f1208,f1170,f1171,f1187,f1185,f645,f1215,f1217,f1212,f1055,f1252,f1250,f1256,f1248,f1257,f1258,f1230,f1259,f1237,f1261,f1262,f1263,f1264,f1243,f1255,f1266,f1270,f1271,f1272,f1268,f1274,f1283,f1276,f1277,f1284,f1278,f1285,f1279,f1253,f1295,f1296,f1293,f1289,f1298,f1308,f1309,f1310,f1303,f1059,f1323,f1324,f1325,f1317,f1318,f1319,f1084,f1338,f1340,f1332,f1333,f1341,f1222,f1366,f1363,f1367,f1368,f1369,f1370,f1371,f1352,f1235,f1373,f1374,f1388,f1390,f1391,f1392,f1393,f1394,f1395,f1379,f1396,f1397,f1381,f1398,f1382,f647,f1408,f1409,f1402,f1404,f1387,f1411,f1422,f1420,f1423,f1424,f1413,f1440,f1438,f1441,f1442,f1443,f1431,f1419,f1444,f444,f1468,f1462,f1461,f1471,f1470,f1489,f1487,f1490,f1491,f1492,f1477,f1483,f1482,f462,f1493,f1494,f1495,f1497,f1498,f1500,f1501,f1499,f1503,f1504,f1505,f1506,f1507,f1508,f1509,f1510,f1511,f468,f1513,f1512,f1514,f741,f1526,f1525,f1527,f1528,f1529,f1521,f699,f1541,f1542,f1543,f1544,f1546,f1548,f1539,f844,f1579,f1578,f1580,f1581,f1582,f1555,f1556,f1583,f1584,f1585,f1560,f1577,f1576,f1575,f1574,f1572,f1569,f1571,f845,f1612,f1613,f1611,f1610,f1609,f1592,f1608,f1607,f1606,f1615,f1616,f1617,f1620,f1604,f1622,f1619,f1623,f1624,f1621,f1628,f1629,f1627,f1659,f1658,f1661,f1662,f1641,f1642,f1643,f1663,f1664,f1646,f1665,f1649,f1650,f1656,f1652,f1654,f1632,f1692,f1691,f1694,f1695,f1674,f1675,f1676,f1696,f1697,f1679,f1698,f1682,f1683,f1689,f1685,f1687,f1637,f1712,f1713,f1714,f1705,f1706,f1707,f1708,f1709,f1670,f1728,f1729,f1730,f1721,f1722,f1723,f1724,f1725,f530,f1734,f1741,f1736,f1737,f1614,f1762,f1743,f1763,f1764,f1766,f1768,f1770,f1771,f1750,f1772,f1774,f1775,f1777,f1754,f1778,f1779,f862,f1780,f1781,f1782,f1785,f1800,f1787,f1788,f1789,f1801,f1802,f1792,f1793,f1803,f1804,f1796,f1798,f495,f1808,f1809,f1810,f715,f1871,f1872,f1869,f1818,f1819,f1823,f1824,f1873,f1825,f1826,f1874,f1875,f1868,f1876,f1867,f1877,f1878,f1879,f1835,f1866,f1880,f1881,f1864,f1840,f1841,f1843,f1845,f1846,f1847,f1848,f1882,f1883,f1863,f1884,f1862,f1885,f1886,f1887,f1857,f1861,f1860,f1890,f1891,f1904,f1901,f1906,f1893,f1924,f1922,f1925,f1926,f1913,f1914,f1915,f1903,f1951,f1958,f1960,f1961,f1962,f1963,f1939,f1964,f1968,f1942,f1969,f1970,f1928,f1900,f1973,f529,f2007,f2008,f2009,f2010,f2005,f2011,f2004,f2012,f2013,f2003,f2014,f2015,f2016,f2017,f1985,f2018,f2002,f2001,f2019,f2020,f2021,f2022,f2023,f2025,f2026,f2027,f1996,f2028,f2029,f1998,f2030,f2031,f1956,f2062,f2063,f2064,f2065,f2060,f2036,f2037,f2041,f2042,f2066,f2043,f2044,f2067,f2046,f2068,f2059,f2069,f2070,f2071,f2058,f2072,f2073,f2074,f2055,f2057,f1959,f2039,f2101,f2077,f2102,f2099,f2103,f2104,f2105,f2083,f2106,f2107,f2085,f2086,f2087,f2088,f2089,f2108,f2109,f2092,f1975,f2110,f2132,f2131,f2134,f2135,f2120,f2121,f2125,f528,f2136,f2169,f2170,f2167,f2166,f2171,f2165,f2172,f2173,f2174,f2147,f2175,f2164,f2176,f2163,f2177,f2178,f2179,f2181,f2182,f2183,f2158,f2184,f2160,f2185,f2186,f788,f2187,f2188,f2189,f2190,f2191,f2192,f2193,f2194,f2195,f2196,f1467,f2204,f2203,f2205,f1533,f2223,f2224,f2225,f2226,f2228,f2230,f2232,f2233,f2234,f2235,f2215,f1568,f1573,f1783,f2250,f2251,f2252,f2253,f2254,f1797,f533,f2280,f2279,f2281,f2282,f2283,f2274,f2284,f2267,f2268,f2273,f2272,f580,f581,f2300,f2302,f2304,f1502,f2312,f2313,f2314,f2315,f2316,f2317,f2318,f2319,f2320,f2321,f1625,f2322,f2323,f2324,f2325,f1630,f2326,f2327,f2328,f2329,f1813,f2330,f2331,f2335,f2337,f2338,f2339,f2340,f2341,f2342,f2343,f2344,f2345,f2346,f2347,f2348,f2349,f2350,f2352,f2351,f2359,f2361,f2362,f2363,f2364,f2365,f2366,f2332,f2369,f2370,f2371,f2372,f2373,f2374,f2375,f2376,f2377,f2358,f2389,f2390,f2391,f2392,f2393,f2394,f2395,f2396,f2397,f461,f2406,f2407,f2408,f2409,f2410,f2411,f2412,f2413,f2414,f2415,f2416,f2417,f2418,f1821,f2444,f2420,f2445,f2442,f2446,f2447,f2448,f2426,f2449,f2428,f2429,f2430,f2431,f2432,f2450,f2451,f2435,f2238,f2465,f2463,f2462,f2466,f2467,f2240,f2480,f2478,f2481,f2482,f2483,f1074,f2505,f1076,f2512,f2511,f1098,f2528,f2534,f1905,f2557,f2555,f2558,f2559,f2561,f2562,f2563,f2565,f2567,f2568,f2569,f2571,f2552,f2333,f2575,f2576,f2577,f2578,f2579,f2459,f2589,f2475,f2595,f667,f1114,f2614,f2615,f2616,f2617,f2618,f2619,f2607,f2608,f2609,f2610,f2620,f2621,f1952,f2651,f2652,f2654,f2627,f2628,f2630,f2632,f2633,f2634,f2635,f2636,f2655,f2637,f2638,f2656,f2657,f2658,f2640,f2659,f2641,f2642,f2660,f2644,f2645,f2646,f2647,f2648,f2661,f2649,f2662,f1954,f1966,f2133,f2667,f2542,f2687]) ).

fof(f2687,plain,
    ! [X0] :
      ( ~ ordinal(succ(succ(succ(succ(X0)))))
      | in(X0,succ(succ(succ(succ(succ(succ(X0)))))))
      | ~ ordinal(X0)
      | ~ ordinal(succ(succ(succ(succ(succ(succ(X0))))))) ),
    inference(subsumption_resolution,[],[f2669,f180]) ).

fof(f2669,plain,
    ! [X0] :
      ( ~ ordinal(succ(succ(succ(succ(X0)))))
      | ~ ordinal(succ(X0))
      | in(X0,succ(succ(succ(succ(succ(succ(X0)))))))
      | ~ ordinal(X0)
      | ~ ordinal(succ(succ(succ(succ(succ(succ(X0))))))) ),
    inference(resolution,[],[f2542,f1055]) ).

fof(f2542,plain,
    ! [X0] :
      ( ~ in(succ(succ(succ(succ(X0)))),X0)
      | ~ ordinal(succ(succ(succ(X0))))
      | ~ ordinal(X0) ),
    inference(resolution,[],[f1905,f205]) ).

fof(f2667,plain,
    ! [X0,X1] :
      ( ~ ordinal(powerset(X0))
      | ~ empty(X0)
      | ~ empty(X1)
      | powerset(X0) = X1
      | empty_set = sK3(powerset(X0)) ),
    inference(duplicate_literal_removal,[],[f2665]) ).

fof(f2665,plain,
    ! [X0,X1] :
      ( ~ ordinal(powerset(X0))
      | ~ empty(X0)
      | ~ empty(X1)
      | powerset(X0) = X1
      | ~ ordinal(powerset(X0))
      | ~ empty(X0)
      | empty_set = sK3(powerset(X0)) ),
    inference(resolution,[],[f2133,f811]) ).

fof(f2133,plain,
    ! [X0,X1] :
      ( ~ being_limit_ordinal(powerset(X0))
      | ~ ordinal(powerset(X0))
      | ~ empty(X0)
      | ~ empty(X1)
      | powerset(X0) = X1 ),
    inference(subsumption_resolution,[],[f2130,f192]) ).

fof(f2130,plain,
    ! [X0,X1] :
      ( ~ being_limit_ordinal(powerset(X0))
      | ~ ordinal(powerset(X0))
      | ~ ordinal(X1)
      | ~ empty(X0)
      | ~ empty(X1)
      | powerset(X0) = X1 ),
    inference(duplicate_literal_removal,[],[f2113]) ).

fof(f2113,plain,
    ! [X0,X1] :
      ( ~ being_limit_ordinal(powerset(X0))
      | ~ ordinal(powerset(X0))
      | ~ ordinal(X1)
      | ~ empty(X0)
      | ~ ordinal(powerset(X0))
      | ~ empty(X1)
      | powerset(X0) = X1 ),
    inference(resolution,[],[f1975,f653]) ).

fof(f1966,plain,
    ! [X0] :
      ( element(X0,succ(succ(succ(succ(X0)))))
      | ~ ordinal(X0)
      | ~ ordinal(succ(succ(succ(X0)))) ),
    inference(subsumption_resolution,[],[f1965,f180]) ).

fof(f1965,plain,
    ! [X0] :
      ( element(X0,succ(succ(succ(succ(X0)))))
      | ~ ordinal(X0)
      | ~ ordinal(succ(succ(succ(X0))))
      | ~ ordinal(succ(X0)) ),
    inference(subsumption_resolution,[],[f1940,f180]) ).

fof(f1940,plain,
    ! [X0] :
      ( element(X0,succ(succ(succ(succ(X0)))))
      | ~ ordinal(succ(succ(succ(succ(X0)))))
      | ~ ordinal(X0)
      | ~ ordinal(succ(succ(succ(X0))))
      | ~ ordinal(succ(X0)) ),
    inference(resolution,[],[f1903,f684]) ).

fof(f1954,plain,
    ! [X0,X1] :
      ( element(X0,succ(X1))
      | ~ ordinal(X0)
      | ~ being_limit_ordinal(X1)
      | ~ ordinal(X1)
      | ~ in(succ(X0),X1) ),
    inference(subsumption_resolution,[],[f1953,f180]) ).

fof(f1953,plain,
    ! [X0,X1] :
      ( element(X0,succ(X1))
      | ~ ordinal(X0)
      | ~ being_limit_ordinal(X1)
      | ~ ordinal(X1)
      | ~ in(succ(X0),X1)
      | ~ ordinal(succ(X0)) ),
    inference(subsumption_resolution,[],[f1931,f180]) ).

fof(f1931,plain,
    ! [X0,X1] :
      ( element(X0,succ(X1))
      | ~ ordinal(succ(X1))
      | ~ ordinal(X0)
      | ~ being_limit_ordinal(X1)
      | ~ ordinal(X1)
      | ~ in(succ(X0),X1)
      | ~ ordinal(succ(X0)) ),
    inference(resolution,[],[f1903,f735]) ).

fof(f2662,plain,
    ! [X0] :
      ( ~ ordinal(X0)
      | element(X0,succ(powerset(succ(succ(X0)))))
      | ~ ordinal(succ(succ(X0)))
      | empty(powerset(succ(succ(X0))))
      | ~ ordinal(powerset(succ(succ(X0)))) ),
    inference(subsumption_resolution,[],[f2650,f180]) ).

fof(f2650,plain,
    ! [X0] :
      ( ~ ordinal(succ(powerset(succ(succ(X0)))))
      | ~ ordinal(X0)
      | element(X0,succ(powerset(succ(succ(X0)))))
      | ~ ordinal(succ(succ(X0)))
      | empty(powerset(succ(succ(X0))))
      | ~ ordinal(powerset(succ(succ(X0)))) ),
    inference(resolution,[],[f1952,f1470]) ).

fof(f2649,plain,
    ! [X0,X1] :
      ( ~ ordinal(succ(powerset(X0)))
      | ~ ordinal(X1)
      | element(X1,succ(powerset(X0)))
      | ~ subset(succ(succ(X1)),X0)
      | empty(powerset(X0)) ),
    inference(resolution,[],[f1952,f439]) ).

fof(f2661,plain,
    ! [X0,X1] :
      ( ~ ordinal(X1)
      | element(X1,succ(succ(succ(X0))))
      | ~ ordinal(succ(succ(X1)))
      | element(X0,succ(succ(X1)))
      | ~ ordinal(succ(X0)) ),
    inference(global_subsumption,[],[f158,f160,f162,f166,f177,f248,f156,f159,f167,f168,f169,f219,f220,f221,f222,f223,f224,f225,f227,f228,f229,f230,f241,f242,f243,f244,f246,f170,f198,f157,f155,f171,f175,f190,f191,f192,f196,f153,f172,f178,f179,f180,f189,f259,f260,f261,f262,f199,f216,f193,f201,f202,f203,f205,f281,f206,f154,f173,f182,f200,f286,f289,f292,f285,f300,f295,f207,f213,f323,f214,f215,f324,f183,f338,f204,f340,f343,f335,f184,f212,f218,f348,f352,f354,f361,f362,f363,f364,f355,f369,f370,f373,f368,f174,f349,f350,f353,f356,f208,f209,f210,f217,f427,f428,f342,f441,f429,f347,f449,f351,f421,f460,f432,f439,f450,f185,f459,f472,f471,f475,f476,f466,f492,f493,f494,f496,f501,f490,f186,f522,f181,f540,f541,f535,f538,f546,f521,f337,f553,f555,f556,f423,f393,f562,f563,f489,f577,f578,f579,f403,f588,f589,f590,f502,f610,f611,f612,f420,f641,f642,f636,f646,f644,f649,f657,f653,f651,f443,f679,f552,f686,f689,f691,f701,f693,f463,f702,f703,f704,f705,f682,f713,f707,f717,f710,f684,f724,f722,f526,f736,f733,f740,f745,f746,f719,f753,f755,f757,f750,f582,f664,f675,f765,f767,f769,f768,f390,f789,f770,f771,f787,f812,f813,f814,f815,f816,f817,f818,f790,f436,f838,f635,f853,f854,f542,f856,f431,f857,f858,f859,f865,f557,f884,f885,f886,f887,f735,f893,f901,f903,f905,f897,f837,f921,f922,f923,f924,f911,f920,f919,f917,f906,f932,f931,f852,f951,f447,f957,f958,f959,f955,f956,f734,f964,f811,f891,f982,f984,f986,f988,f977,f916,f989,f990,f991,f918,f995,f996,f997,f950,f1004,f499,f1009,f1010,f1011,f1012,f500,f1037,f1038,f1039,f1040,f933,f994,f1075,f1077,f1062,f1063,f1064,f1078,f1066,f1079,f1080,f1069,f1070,f1071,f1072,f999,f1099,f1103,f1087,f1088,f1089,f1106,f1107,f1108,f1094,f1095,f1096,f1097,f1101,f1115,f1105,f1120,f1119,f1002,f1130,f1129,f1007,f1203,f1202,f1137,f1138,f1139,f1199,f1205,f1206,f1145,f1146,f1198,f1196,f1192,f1191,f1162,f1163,f1164,f1188,f1207,f1208,f1170,f1171,f1187,f1185,f645,f1215,f1217,f1212,f1055,f1252,f1250,f1256,f1248,f1257,f1258,f1230,f1259,f1237,f1261,f1262,f1263,f1264,f1243,f1255,f1266,f1270,f1271,f1272,f1268,f1274,f1283,f1276,f1277,f1284,f1278,f1285,f1279,f1253,f1295,f1296,f1293,f1289,f1298,f1308,f1309,f1310,f1303,f1059,f1323,f1324,f1325,f1317,f1318,f1319,f1084,f1338,f1340,f1332,f1333,f1341,f1222,f1366,f1363,f1367,f1368,f1369,f1370,f1371,f1352,f1235,f1373,f1374,f1388,f1390,f1391,f1392,f1393,f1394,f1395,f1379,f1396,f1397,f1381,f1398,f1382,f647,f1408,f1409,f1402,f1404,f1387,f1411,f1422,f1420,f1423,f1424,f1413,f1440,f1438,f1441,f1442,f1443,f1431,f1419,f1444,f444,f1468,f1462,f1461,f1471,f1470,f1489,f1487,f1490,f1491,f1492,f1477,f1483,f1482,f462,f1493,f1494,f1495,f1497,f1498,f1500,f1501,f1499,f1503,f1504,f1505,f1506,f1507,f1508,f1509,f1510,f1511,f468,f1513,f1512,f1514,f741,f1526,f1525,f1527,f1528,f1529,f1521,f699,f1541,f1542,f1543,f1544,f1546,f1548,f1539,f844,f1579,f1578,f1580,f1581,f1582,f1555,f1556,f1583,f1584,f1585,f1560,f1577,f1576,f1575,f1574,f1572,f1569,f1571,f845,f1612,f1613,f1611,f1610,f1609,f1592,f1608,f1607,f1606,f1615,f1616,f1617,f1620,f1604,f1622,f1619,f1623,f1624,f1621,f1628,f1629,f1627,f1659,f1658,f1661,f1662,f1641,f1642,f1643,f1663,f1664,f1646,f1665,f1649,f1650,f1656,f1652,f1654,f1632,f1692,f1691,f1694,f1695,f1674,f1675,f1676,f1696,f1697,f1679,f1698,f1682,f1683,f1689,f1685,f1687,f1637,f1712,f1713,f1714,f1705,f1706,f1707,f1708,f1709,f1670,f1728,f1729,f1730,f1721,f1722,f1723,f1724,f1725,f530,f1734,f1741,f1736,f1737,f1614,f1762,f1743,f1763,f1764,f1766,f1768,f1770,f1771,f1750,f1772,f1774,f1775,f1777,f1754,f1778,f1779,f862,f1780,f1781,f1782,f1785,f1800,f1787,f1788,f1789,f1801,f1802,f1792,f1793,f1803,f1804,f1796,f1798,f495,f1808,f1809,f1810,f715,f1871,f1872,f1869,f1818,f1819,f1823,f1824,f1873,f1825,f1826,f1874,f1875,f1868,f1876,f1867,f1877,f1878,f1879,f1835,f1866,f1880,f1881,f1864,f1840,f1841,f1843,f1845,f1846,f1847,f1848,f1882,f1883,f1863,f1884,f1862,f1885,f1886,f1887,f1857,f1861,f1860,f1890,f1891,f1904,f1901,f1906,f1893,f1924,f1922,f1925,f1926,f1913,f1914,f1915,f1903,f1951,f1954,f1958,f1960,f1961,f1962,f1963,f1939,f1964,f1966,f1968,f1942,f1969,f1970,f1928,f1900,f1973,f529,f2007,f2008,f2009,f2010,f2005,f2011,f2004,f2012,f2013,f2003,f2014,f2015,f2016,f2017,f1985,f2018,f2002,f2001,f2019,f2020,f2021,f2022,f2023,f2025,f2026,f2027,f1996,f2028,f2029,f1998,f2030,f2031,f1956,f2062,f2063,f2064,f2065,f2060,f2036,f2037,f2041,f2042,f2066,f2043,f2044,f2067,f2046,f2068,f2059,f2069,f2070,f2071,f2058,f2072,f2073,f2074,f2055,f2057,f1959,f2039,f2101,f2077,f2102,f2099,f2103,f2104,f2105,f2083,f2106,f2107,f2085,f2086,f2087,f2088,f2089,f2108,f2109,f2092,f1975,f2110,f2132,f2131,f2133,f2134,f2135,f2120,f2121,f2125,f528,f2136,f2169,f2170,f2167,f2166,f2171,f2165,f2172,f2173,f2174,f2147,f2175,f2164,f2176,f2163,f2177,f2178,f2179,f2181,f2182,f2183,f2158,f2184,f2160,f2185,f2186,f788,f2187,f2188,f2189,f2190,f2191,f2192,f2193,f2194,f2195,f2196,f1467,f2204,f2203,f2205,f1533,f2223,f2224,f2225,f2226,f2228,f2230,f2232,f2233,f2234,f2235,f2215,f1568,f1573,f1783,f2250,f2251,f2252,f2253,f2254,f1797,f533,f2280,f2279,f2281,f2282,f2283,f2274,f2284,f2267,f2268,f2273,f2272,f580,f581,f2300,f2302,f2304,f1502,f2312,f2313,f2314,f2315,f2316,f2317,f2318,f2319,f2320,f2321,f1625,f2322,f2323,f2324,f2325,f1630,f2326,f2327,f2328,f2329,f1813,f2330,f2331,f2335,f2337,f2338,f2339,f2340,f2341,f2342,f2343,f2344,f2345,f2346,f2347,f2348,f2349,f2350,f2352,f2351,f2359,f2361,f2362,f2363,f2364,f2365,f2366,f2332,f2369,f2370,f2371,f2372,f2373,f2374,f2375,f2376,f2377,f2358,f2389,f2390,f2391,f2392,f2393,f2394,f2395,f2396,f2397,f461,f2406,f2407,f2408,f2409,f2410,f2411,f2412,f2413,f2414,f2415,f2416,f2417,f2418,f1821,f2444,f2420,f2445,f2442,f2446,f2447,f2448,f2426,f2449,f2428,f2429,f2430,f2431,f2432,f2450,f2451,f2435,f2238,f2465,f2463,f2462,f2466,f2467,f2240,f2480,f2478,f2481,f2482,f2483,f1074,f2505,f1076,f2512,f2511,f1098,f2528,f2534,f1905,f2557,f2555,f2558,f2559,f2542,f2561,f2562,f2563,f2565,f2567,f2568,f2569,f2571,f2552,f2333,f2575,f2576,f2577,f2578,f2579,f2459,f2589,f2475,f2595,f667,f1114,f2614,f2615,f2616,f2617,f2618,f2619,f2607,f2608,f2609,f2610,f2620,f2621,f1952,f2651,f2652,f2654,f2627,f2628,f2630,f2632,f2633,f2634,f2635,f2636,f2655,f2637,f2638,f2656,f2657,f2658,f2640,f2659,f2641,f2642,f2660,f2644,f2645,f2646,f2647,f2648]) ).

fof(f2648,plain,
    ! [X0,X1] :
      ( ~ ordinal(succ(succ(succ(X0))))
      | ~ ordinal(X1)
      | element(X1,succ(succ(succ(X0))))
      | ~ ordinal(succ(succ(X1)))
      | element(X0,succ(succ(X1)))
      | ~ ordinal(succ(X0)) ),
    inference(resolution,[],[f1952,f1614]) ).

fof(f2647,plain,
    ! [X0,X1] :
      ( ~ ordinal(succ(succ(succ(X0))))
      | ~ ordinal(X1)
      | element(X1,succ(succ(succ(X0))))
      | element(X0,succ(succ(succ(X1))))
      | ~ ordinal(succ(succ(X1)))
      | ~ ordinal(X0) ),
    inference(resolution,[],[f1952,f2039]) ).

fof(f2646,plain,
    ! [X0,X1] :
      ( ~ ordinal(succ(succ(succ(X0))))
      | ~ ordinal(X1)
      | element(X1,succ(succ(succ(X0))))
      | ~ ordinal(succ(succ(X1)))
      | ~ ordinal(X0)
      | in(X0,succ(succ(succ(succ(X1))))) ),
    inference(resolution,[],[f1952,f1821]) ).

fof(f2645,plain,
    ! [X0,X1] :
      ( ~ ordinal(succ(succ(X0)))
      | ~ ordinal(X1)
      | element(X1,succ(succ(X0)))
      | ~ ordinal(succ(succ(X1)))
      | ~ ordinal(X0)
      | in(X0,succ(succ(succ(X1)))) ),
    inference(resolution,[],[f1952,f682]) ).

fof(f2644,plain,
    ! [X0,X1] :
      ( ~ ordinal(succ(succ(X0)))
      | ~ ordinal(X1)
      | element(X1,succ(succ(X0)))
      | ~ ordinal(X0)
      | ~ in(succ(succ(X1)),X0)
      | ~ ordinal(succ(succ(X1)))
      | ~ being_limit_ordinal(X0) ),
    inference(resolution,[],[f1952,f891]) ).

fof(f2660,plain,
    ! [X0,X1] :
      ( ~ ordinal(X1)
      | element(X1,succ(succ(X0)))
      | ~ ordinal(succ(succ(X1)))
      | ~ ordinal(succ(X0))
      | in(X0,succ(succ(succ(X1)))) ),
    inference(subsumption_resolution,[],[f2643,f180]) ).

fof(f2643,plain,
    ! [X0,X1] :
      ( ~ ordinal(succ(succ(X0)))
      | ~ ordinal(X1)
      | element(X1,succ(succ(X0)))
      | ~ ordinal(succ(succ(X1)))
      | ~ ordinal(succ(X0))
      | in(X0,succ(succ(succ(X1)))) ),
    inference(resolution,[],[f1952,f1222]) ).

fof(f2642,plain,
    ! [X0,X1] :
      ( ~ ordinal(succ(succ(X0)))
      | ~ ordinal(X1)
      | element(X1,succ(succ(X0)))
      | ~ ordinal(X0)
      | ~ ordinal(succ(succ(succ(X1))))
      | in(X0,succ(succ(succ(X1)))) ),
    inference(resolution,[],[f1952,f1235]) ).

fof(f2641,plain,
    ! [X0,X1] :
      ( ~ ordinal(succ(succ(X0)))
      | ~ ordinal(X1)
      | element(X1,succ(succ(X0)))
      | element(X0,succ(succ(X1)))
      | ~ ordinal(succ(succ(X1)))
      | ~ ordinal(X0) ),
    inference(resolution,[],[f1952,f1903]) ).

fof(f2659,plain,
    ! [X0] :
      ( ~ ordinal(X0)
      | element(X0,succ(succ(succ(sK3(succ(succ(succ(X0))))))))
      | ~ ordinal(succ(succ(X0)))
      | ~ ordinal(succ(sK3(succ(succ(succ(X0)))))) ),
    inference(global_subsumption,[],[f158,f160,f162,f166,f177,f248,f156,f159,f167,f168,f169,f219,f220,f221,f222,f223,f224,f225,f227,f228,f229,f230,f241,f242,f243,f244,f246,f170,f198,f157,f155,f171,f175,f190,f191,f192,f196,f153,f172,f178,f179,f180,f189,f259,f260,f261,f262,f199,f216,f193,f201,f202,f203,f205,f281,f206,f154,f173,f182,f200,f286,f289,f292,f285,f300,f295,f207,f213,f323,f214,f215,f324,f183,f338,f204,f340,f343,f335,f184,f212,f218,f348,f352,f354,f361,f362,f363,f364,f355,f369,f370,f373,f368,f174,f349,f350,f353,f356,f208,f209,f210,f217,f427,f428,f342,f441,f429,f347,f449,f351,f421,f460,f432,f439,f450,f185,f459,f472,f471,f475,f476,f466,f492,f493,f494,f496,f501,f490,f186,f522,f181,f540,f541,f535,f538,f546,f521,f337,f553,f555,f556,f423,f393,f562,f563,f489,f577,f578,f579,f403,f588,f589,f590,f502,f610,f611,f612,f420,f641,f642,f636,f646,f644,f649,f657,f653,f651,f443,f679,f552,f686,f689,f691,f701,f693,f463,f702,f703,f704,f705,f682,f713,f707,f717,f710,f684,f724,f722,f526,f736,f733,f740,f745,f746,f719,f753,f755,f757,f750,f582,f664,f675,f765,f767,f769,f768,f390,f789,f770,f771,f787,f812,f813,f814,f815,f816,f817,f818,f790,f436,f838,f635,f853,f854,f542,f856,f431,f857,f858,f859,f865,f557,f884,f885,f886,f887,f735,f893,f901,f903,f905,f897,f837,f921,f922,f923,f924,f911,f920,f919,f917,f906,f932,f931,f852,f951,f447,f957,f958,f959,f955,f956,f734,f964,f811,f891,f982,f984,f986,f988,f977,f916,f989,f990,f991,f918,f995,f996,f997,f950,f1004,f499,f1009,f1010,f1011,f1012,f500,f1037,f1038,f1039,f1040,f933,f994,f1075,f1077,f1062,f1063,f1064,f1078,f1066,f1079,f1080,f1069,f1070,f1071,f1072,f999,f1099,f1103,f1087,f1088,f1089,f1106,f1107,f1108,f1094,f1095,f1096,f1097,f1101,f1115,f1105,f1120,f1119,f1002,f1130,f1129,f1007,f1203,f1202,f1137,f1138,f1139,f1199,f1205,f1206,f1145,f1146,f1198,f1196,f1192,f1191,f1162,f1163,f1164,f1188,f1207,f1208,f1170,f1171,f1187,f1185,f645,f1215,f1217,f1212,f1055,f1252,f1250,f1256,f1248,f1257,f1258,f1230,f1259,f1237,f1261,f1262,f1263,f1264,f1243,f1255,f1266,f1270,f1271,f1272,f1268,f1274,f1283,f1276,f1277,f1284,f1278,f1285,f1279,f1253,f1295,f1296,f1293,f1289,f1298,f1308,f1309,f1310,f1303,f1059,f1323,f1324,f1325,f1317,f1318,f1319,f1084,f1338,f1340,f1332,f1333,f1341,f1222,f1366,f1363,f1367,f1368,f1369,f1370,f1371,f1352,f1235,f1373,f1374,f1388,f1390,f1391,f1392,f1393,f1394,f1395,f1379,f1396,f1397,f1381,f1398,f1382,f647,f1408,f1409,f1402,f1404,f1387,f1411,f1422,f1420,f1423,f1424,f1413,f1440,f1438,f1441,f1442,f1443,f1431,f1419,f1444,f444,f1468,f1462,f1461,f1471,f1470,f1489,f1487,f1490,f1491,f1492,f1477,f1483,f1482,f462,f1493,f1494,f1495,f1497,f1498,f1500,f1501,f1499,f1503,f1504,f1505,f1506,f1507,f1508,f1509,f1510,f1511,f468,f1513,f1512,f1514,f741,f1526,f1525,f1527,f1528,f1529,f1521,f699,f1541,f1542,f1543,f1544,f1546,f1548,f1539,f844,f1579,f1578,f1580,f1581,f1582,f1555,f1556,f1583,f1584,f1585,f1560,f1577,f1576,f1575,f1574,f1572,f1569,f1571,f845,f1612,f1613,f1611,f1610,f1609,f1592,f1608,f1607,f1606,f1615,f1616,f1617,f1620,f1604,f1622,f1619,f1623,f1624,f1621,f1628,f1629,f1627,f1659,f1658,f1661,f1662,f1641,f1642,f1643,f1663,f1664,f1646,f1665,f1649,f1650,f1656,f1652,f1654,f1632,f1692,f1691,f1694,f1695,f1674,f1675,f1676,f1696,f1697,f1679,f1698,f1682,f1683,f1689,f1685,f1687,f1637,f1712,f1713,f1714,f1705,f1706,f1707,f1708,f1709,f1670,f1728,f1729,f1730,f1721,f1722,f1723,f1724,f1725,f530,f1734,f1741,f1736,f1737,f1614,f1762,f1743,f1763,f1764,f1766,f1768,f1770,f1771,f1750,f1772,f1774,f1775,f1777,f1754,f1778,f1779,f862,f1780,f1781,f1782,f1785,f1800,f1787,f1788,f1789,f1801,f1802,f1792,f1793,f1803,f1804,f1796,f1798,f495,f1808,f1809,f1810,f715,f1871,f1872,f1869,f1818,f1819,f1823,f1824,f1873,f1825,f1826,f1874,f1875,f1868,f1876,f1867,f1877,f1878,f1879,f1835,f1866,f1880,f1881,f1864,f1840,f1841,f1843,f1845,f1846,f1847,f1848,f1882,f1883,f1863,f1884,f1862,f1885,f1886,f1887,f1857,f1861,f1860,f1890,f1891,f1904,f1901,f1906,f1893,f1924,f1922,f1925,f1926,f1913,f1914,f1915,f1903,f1951,f1954,f1958,f1960,f1961,f1962,f1963,f1939,f1964,f1966,f1968,f1942,f1969,f1970,f1928,f1900,f1973,f529,f2007,f2008,f2009,f2010,f2005,f2011,f2004,f2012,f2013,f2003,f2014,f2015,f2016,f2017,f1985,f2018,f2002,f2001,f2019,f2020,f2021,f2022,f2023,f2025,f2026,f2027,f1996,f2028,f2029,f1998,f2030,f2031,f1956,f2062,f2063,f2064,f2065,f2060,f2036,f2037,f2041,f2042,f2066,f2043,f2044,f2067,f2046,f2068,f2059,f2069,f2070,f2071,f2058,f2072,f2073,f2074,f2055,f2057,f1959,f2039,f2101,f2077,f2102,f2099,f2103,f2104,f2105,f2083,f2106,f2107,f2085,f2086,f2087,f2088,f2089,f2108,f2109,f2092,f1975,f2110,f2132,f2131,f2133,f2134,f2135,f2120,f2121,f2125,f528,f2136,f2169,f2170,f2167,f2166,f2171,f2165,f2172,f2173,f2174,f2147,f2175,f2164,f2176,f2163,f2177,f2178,f2179,f2181,f2182,f2183,f2158,f2184,f2160,f2185,f2186,f788,f2187,f2188,f2189,f2190,f2191,f2192,f2193,f2194,f2195,f2196,f1467,f2204,f2203,f2205,f1533,f2223,f2224,f2225,f2226,f2228,f2230,f2232,f2233,f2234,f2235,f2215,f1568,f1573,f1783,f2250,f2251,f2252,f2253,f2254,f1797,f533,f2280,f2279,f2281,f2282,f2283,f2274,f2284,f2267,f2268,f2273,f2272,f580,f581,f2300,f2302,f2304,f1502,f2312,f2313,f2314,f2315,f2316,f2317,f2318,f2319,f2320,f2321,f1625,f2322,f2323,f2324,f2325,f1630,f2326,f2327,f2328,f2329,f1813,f2330,f2331,f2335,f2337,f2338,f2339,f2340,f2341,f2342,f2343,f2344,f2345,f2346,f2347,f2348,f2349,f2350,f2352,f2351,f2359,f2361,f2362,f2363,f2364,f2365,f2366,f2332,f2369,f2370,f2371,f2372,f2373,f2374,f2375,f2376,f2377,f2358,f2389,f2390,f2391,f2392,f2393,f2394,f2395,f2396,f2397,f461,f2406,f2407,f2408,f2409,f2410,f2411,f2412,f2413,f2414,f2415,f2416,f2417,f2418,f1821,f2444,f2420,f2445,f2442,f2446,f2447,f2448,f2426,f2449,f2428,f2429,f2430,f2431,f2432,f2450,f2451,f2435,f2238,f2465,f2463,f2462,f2466,f2467,f2240,f2480,f2478,f2481,f2482,f2483,f1074,f2505,f1076,f2512,f2511,f1098,f2528,f2534,f1905,f2557,f2555,f2558,f2559,f2542,f2561,f2562,f2563,f2565,f2567,f2568,f2569,f2571,f2552,f2333,f2575,f2576,f2577,f2578,f2579,f2459,f2589,f2475,f2595,f667,f1114,f2614,f2615,f2616,f2617,f2618,f2619,f2607,f2608,f2609,f2610,f2620,f2621,f1952,f2651,f2652,f2654,f2627,f2628,f2630,f2632,f2633,f2634,f2635,f2636,f2655,f2637,f2638,f2656,f2657,f2658,f2640]) ).

fof(f2640,plain,
    ! [X0] :
      ( ~ ordinal(succ(succ(succ(sK3(succ(succ(succ(X0))))))))
      | ~ ordinal(X0)
      | element(X0,succ(succ(succ(sK3(succ(succ(succ(X0))))))))
      | ~ ordinal(succ(succ(X0)))
      | ~ ordinal(succ(sK3(succ(succ(succ(X0)))))) ),
    inference(resolution,[],[f1952,f1533]) ).

fof(f2658,plain,
    ! [X0] :
      ( ~ ordinal(X0)
      | element(X0,succ(succ(succ(succ(succ(X0))))))
      | ~ ordinal(succ(succ(X0)))
      | ~ ordinal(succ(succ(succ(succ(X0))))) ),
    inference(global_subsumption,[],[f158,f160,f162,f166,f177,f248,f156,f159,f167,f168,f169,f219,f220,f221,f222,f223,f224,f225,f227,f228,f229,f230,f241,f242,f243,f244,f246,f170,f198,f157,f155,f171,f175,f190,f191,f192,f196,f153,f172,f178,f179,f180,f189,f259,f260,f261,f262,f199,f216,f193,f201,f202,f203,f205,f281,f206,f154,f173,f182,f200,f286,f289,f292,f285,f300,f295,f207,f213,f323,f214,f215,f324,f183,f338,f204,f340,f343,f335,f184,f212,f218,f348,f352,f354,f361,f362,f363,f364,f355,f369,f370,f373,f368,f174,f349,f350,f353,f356,f208,f209,f210,f217,f427,f428,f342,f441,f429,f347,f449,f351,f421,f460,f432,f439,f450,f185,f459,f472,f471,f475,f476,f466,f492,f493,f494,f496,f501,f490,f186,f522,f181,f540,f541,f535,f538,f546,f521,f337,f553,f555,f556,f423,f393,f562,f563,f489,f577,f578,f579,f403,f588,f589,f590,f502,f610,f611,f612,f420,f641,f642,f636,f646,f644,f649,f657,f653,f651,f443,f679,f552,f686,f689,f691,f701,f693,f463,f702,f703,f704,f705,f682,f713,f707,f717,f710,f684,f724,f722,f526,f736,f733,f740,f745,f746,f719,f753,f755,f757,f750,f582,f664,f675,f765,f767,f769,f768,f390,f789,f770,f771,f787,f812,f813,f814,f815,f816,f817,f818,f790,f436,f838,f635,f853,f854,f542,f856,f431,f857,f858,f859,f865,f557,f884,f885,f886,f887,f735,f893,f901,f903,f905,f897,f837,f921,f922,f923,f924,f911,f920,f919,f917,f906,f932,f931,f852,f951,f447,f957,f958,f959,f955,f956,f734,f964,f811,f891,f982,f984,f986,f988,f977,f916,f989,f990,f991,f918,f995,f996,f997,f950,f1004,f499,f1009,f1010,f1011,f1012,f500,f1037,f1038,f1039,f1040,f933,f994,f1075,f1077,f1062,f1063,f1064,f1078,f1066,f1079,f1080,f1069,f1070,f1071,f1072,f999,f1099,f1103,f1087,f1088,f1089,f1106,f1107,f1108,f1094,f1095,f1096,f1097,f1101,f1115,f1105,f1120,f1119,f1002,f1130,f1129,f1007,f1203,f1202,f1137,f1138,f1139,f1199,f1205,f1206,f1145,f1146,f1198,f1196,f1192,f1191,f1162,f1163,f1164,f1188,f1207,f1208,f1170,f1171,f1187,f1185,f645,f1215,f1217,f1212,f1055,f1252,f1250,f1256,f1248,f1257,f1258,f1230,f1259,f1237,f1261,f1262,f1263,f1264,f1243,f1255,f1266,f1270,f1271,f1272,f1268,f1274,f1283,f1276,f1277,f1284,f1278,f1285,f1279,f1253,f1295,f1296,f1293,f1289,f1298,f1308,f1309,f1310,f1303,f1059,f1323,f1324,f1325,f1317,f1318,f1319,f1084,f1338,f1340,f1332,f1333,f1341,f1222,f1366,f1363,f1367,f1368,f1369,f1370,f1371,f1352,f1235,f1373,f1374,f1388,f1390,f1391,f1392,f1393,f1394,f1395,f1379,f1396,f1397,f1381,f1398,f1382,f647,f1408,f1409,f1402,f1404,f1387,f1411,f1422,f1420,f1423,f1424,f1413,f1440,f1438,f1441,f1442,f1443,f1431,f1419,f1444,f444,f1468,f1462,f1461,f1471,f1470,f1489,f1487,f1490,f1491,f1492,f1477,f1483,f1482,f462,f1493,f1494,f1495,f1497,f1498,f1500,f1501,f1499,f1503,f1504,f1505,f1506,f1507,f1508,f1509,f1510,f1511,f468,f1513,f1512,f1514,f741,f1526,f1525,f1527,f1528,f1529,f1521,f699,f1541,f1542,f1543,f1544,f1546,f1548,f1539,f844,f1579,f1578,f1580,f1581,f1582,f1555,f1556,f1583,f1584,f1585,f1560,f1577,f1576,f1575,f1574,f1572,f1569,f1571,f845,f1612,f1613,f1611,f1610,f1609,f1592,f1608,f1607,f1606,f1615,f1616,f1617,f1620,f1604,f1622,f1619,f1623,f1624,f1621,f1628,f1629,f1627,f1659,f1658,f1661,f1662,f1641,f1642,f1643,f1663,f1664,f1646,f1665,f1649,f1650,f1656,f1652,f1654,f1632,f1692,f1691,f1694,f1695,f1674,f1675,f1676,f1696,f1697,f1679,f1698,f1682,f1683,f1689,f1685,f1687,f1637,f1712,f1713,f1714,f1705,f1706,f1707,f1708,f1709,f1670,f1728,f1729,f1730,f1721,f1722,f1723,f1724,f1725,f530,f1734,f1741,f1736,f1737,f1614,f1762,f1743,f1763,f1764,f1766,f1768,f1770,f1771,f1750,f1772,f1774,f1775,f1777,f1754,f1778,f1779,f862,f1780,f1781,f1782,f1785,f1800,f1787,f1788,f1789,f1801,f1802,f1792,f1793,f1803,f1804,f1796,f1798,f495,f1808,f1809,f1810,f715,f1871,f1872,f1869,f1818,f1819,f1823,f1824,f1873,f1825,f1826,f1874,f1875,f1868,f1876,f1867,f1877,f1878,f1879,f1835,f1866,f1880,f1881,f1864,f1840,f1841,f1843,f1845,f1846,f1847,f1848,f1882,f1883,f1863,f1884,f1862,f1885,f1886,f1887,f1857,f1861,f1860,f1890,f1891,f1904,f1901,f1906,f1893,f1924,f1922,f1925,f1926,f1913,f1914,f1915,f1903,f1951,f1954,f1958,f1960,f1961,f1962,f1963,f1939,f1964,f1966,f1968,f1942,f1969,f1970,f1928,f1900,f1973,f529,f2007,f2008,f2009,f2010,f2005,f2011,f2004,f2012,f2013,f2003,f2014,f2015,f2016,f2017,f1985,f2018,f2002,f2001,f2019,f2020,f2021,f2022,f2023,f2025,f2026,f2027,f1996,f2028,f2029,f1998,f2030,f2031,f1956,f2062,f2063,f2064,f2065,f2060,f2036,f2037,f2041,f2042,f2066,f2043,f2044,f2067,f2046,f2068,f2059,f2069,f2070,f2071,f2058,f2072,f2073,f2074,f2055,f2057,f1959,f2039,f2101,f2077,f2102,f2099,f2103,f2104,f2105,f2083,f2106,f2107,f2085,f2086,f2087,f2088,f2089,f2108,f2109,f2092,f1975,f2110,f2132,f2131,f2133,f2134,f2135,f2120,f2121,f2125,f528,f2136,f2169,f2170,f2167,f2166,f2171,f2165,f2172,f2173,f2174,f2147,f2175,f2164,f2176,f2163,f2177,f2178,f2179,f2181,f2182,f2183,f2158,f2184,f2160,f2185,f2186,f788,f2187,f2188,f2189,f2190,f2191,f2192,f2193,f2194,f2195,f2196,f1467,f2204,f2203,f2205,f1533,f2223,f2224,f2225,f2226,f2228,f2230,f2232,f2233,f2234,f2235,f2215,f1568,f1573,f1783,f2250,f2251,f2252,f2253,f2254,f1797,f533,f2280,f2279,f2281,f2282,f2283,f2274,f2284,f2267,f2268,f2273,f2272,f580,f581,f2300,f2302,f2304,f1502,f2312,f2313,f2314,f2315,f2316,f2317,f2318,f2319,f2320,f2321,f1625,f2322,f2323,f2324,f2325,f1630,f2326,f2327,f2328,f2329,f1813,f2330,f2331,f2335,f2337,f2338,f2339,f2340,f2341,f2342,f2343,f2344,f2345,f2346,f2347,f2348,f2349,f2350,f2352,f2351,f2359,f2361,f2362,f2363,f2364,f2365,f2366,f2332,f2369,f2370,f2371,f2372,f2373,f2374,f2375,f2376,f2377,f2358,f2389,f2390,f2391,f2392,f2393,f2394,f2395,f2396,f2397,f461,f2406,f2407,f2408,f2409,f2410,f2411,f2412,f2413,f2414,f2415,f2416,f2417,f2418,f1821,f2444,f2420,f2445,f2442,f2446,f2447,f2448,f2426,f2449,f2428,f2429,f2430,f2431,f2432,f2450,f2451,f2435,f2238,f2465,f2463,f2462,f2466,f2467,f2240,f2480,f2478,f2481,f2482,f2483,f1074,f2505,f1076,f2512,f2511,f1098,f2528,f2534,f1905,f2557,f2555,f2558,f2559,f2542,f2561,f2562,f2563,f2565,f2567,f2568,f2569,f2571,f2552,f2333,f2575,f2576,f2577,f2578,f2579,f2459,f2589,f2475,f2595,f667,f1114,f2614,f2615,f2616,f2617,f2618,f2619,f2607,f2608,f2609,f2610,f2620,f2621,f1952,f2651,f2652,f2654,f2627,f2628,f2630,f2632,f2633,f2634,f2635,f2636,f2655,f2637,f2638,f2656,f2657]) ).

fof(f2657,plain,
    ! [X0] :
      ( ~ ordinal(X0)
      | element(X0,succ(succ(succ(succ(succ(X0))))))
      | ~ being_limit_ordinal(succ(succ(X0)))
      | ~ ordinal(succ(succ(X0)))
      | ~ ordinal(succ(succ(succ(succ(X0))))) ),
    inference(subsumption_resolution,[],[f2639,f180]) ).

fof(f2639,plain,
    ! [X0] :
      ( ~ ordinal(succ(succ(succ(succ(succ(X0))))))
      | ~ ordinal(X0)
      | element(X0,succ(succ(succ(succ(succ(X0))))))
      | ~ being_limit_ordinal(succ(succ(X0)))
      | ~ ordinal(succ(succ(X0)))
      | ~ ordinal(succ(succ(succ(succ(X0))))) ),
    inference(resolution,[],[f1952,f734]) ).

fof(f2656,plain,
    ! [X0] :
      ( ~ ordinal(X0)
      | element(X0,succ(succ(succ(succ(succ(X0))))))
      | ~ being_limit_ordinal(succ(succ(succ(X0))))
      | ~ ordinal(succ(succ(succ(X0)))) ),
    inference(global_subsumption,[],[f158,f160,f162,f166,f177,f248,f156,f159,f167,f168,f169,f219,f220,f221,f222,f223,f224,f225,f227,f228,f229,f230,f241,f242,f243,f244,f246,f170,f198,f157,f155,f171,f175,f190,f191,f192,f196,f153,f172,f178,f179,f180,f189,f259,f260,f261,f262,f199,f216,f193,f201,f202,f203,f205,f281,f206,f154,f173,f182,f200,f286,f289,f292,f285,f300,f295,f207,f213,f323,f214,f215,f324,f183,f338,f204,f340,f343,f335,f184,f212,f218,f348,f352,f354,f361,f362,f363,f364,f355,f369,f370,f373,f368,f174,f349,f350,f353,f356,f208,f209,f210,f217,f427,f428,f342,f441,f429,f347,f449,f351,f421,f460,f432,f439,f450,f185,f459,f472,f471,f475,f476,f466,f492,f493,f494,f496,f501,f490,f186,f522,f181,f540,f541,f535,f538,f546,f521,f337,f553,f555,f556,f423,f393,f562,f563,f489,f577,f578,f579,f403,f588,f589,f590,f502,f610,f611,f612,f420,f641,f642,f636,f646,f644,f649,f657,f653,f651,f443,f679,f552,f686,f689,f691,f701,f693,f463,f702,f703,f704,f705,f682,f713,f707,f717,f710,f684,f724,f722,f526,f736,f733,f740,f745,f746,f719,f753,f755,f757,f750,f582,f664,f675,f765,f767,f769,f768,f390,f789,f770,f771,f787,f812,f813,f814,f815,f816,f817,f818,f790,f436,f838,f635,f853,f854,f542,f856,f431,f857,f858,f859,f865,f557,f884,f885,f886,f887,f735,f893,f901,f903,f905,f897,f837,f921,f922,f923,f924,f911,f920,f919,f917,f906,f932,f931,f852,f951,f447,f957,f958,f959,f955,f956,f734,f964,f811,f891,f982,f984,f986,f988,f977,f916,f989,f990,f991,f918,f995,f996,f997,f950,f1004,f499,f1009,f1010,f1011,f1012,f500,f1037,f1038,f1039,f1040,f933,f994,f1075,f1077,f1062,f1063,f1064,f1078,f1066,f1079,f1080,f1069,f1070,f1071,f1072,f999,f1099,f1103,f1087,f1088,f1089,f1106,f1107,f1108,f1094,f1095,f1096,f1097,f1101,f1115,f1105,f1120,f1119,f1002,f1130,f1129,f1007,f1203,f1202,f1137,f1138,f1139,f1199,f1205,f1206,f1145,f1146,f1198,f1196,f1192,f1191,f1162,f1163,f1164,f1188,f1207,f1208,f1170,f1171,f1187,f1185,f645,f1215,f1217,f1212,f1055,f1252,f1250,f1256,f1248,f1257,f1258,f1230,f1259,f1237,f1261,f1262,f1263,f1264,f1243,f1255,f1266,f1270,f1271,f1272,f1268,f1274,f1283,f1276,f1277,f1284,f1278,f1285,f1279,f1253,f1295,f1296,f1293,f1289,f1298,f1308,f1309,f1310,f1303,f1059,f1323,f1324,f1325,f1317,f1318,f1319,f1084,f1338,f1340,f1332,f1333,f1341,f1222,f1366,f1363,f1367,f1368,f1369,f1370,f1371,f1352,f1235,f1373,f1374,f1388,f1390,f1391,f1392,f1393,f1394,f1395,f1379,f1396,f1397,f1381,f1398,f1382,f647,f1408,f1409,f1402,f1404,f1387,f1411,f1422,f1420,f1423,f1424,f1413,f1440,f1438,f1441,f1442,f1443,f1431,f1419,f1444,f444,f1468,f1462,f1461,f1471,f1470,f1489,f1487,f1490,f1491,f1492,f1477,f1483,f1482,f462,f1493,f1494,f1495,f1497,f1498,f1500,f1501,f1499,f1503,f1504,f1505,f1506,f1507,f1508,f1509,f1510,f1511,f468,f1513,f1512,f1514,f741,f1526,f1525,f1527,f1528,f1529,f1521,f699,f1541,f1542,f1543,f1544,f1546,f1548,f1539,f844,f1579,f1578,f1580,f1581,f1582,f1555,f1556,f1583,f1584,f1585,f1560,f1577,f1576,f1575,f1574,f1572,f1569,f1571,f845,f1612,f1613,f1611,f1610,f1609,f1592,f1608,f1607,f1606,f1615,f1616,f1617,f1620,f1604,f1622,f1619,f1623,f1624,f1621,f1628,f1629,f1627,f1659,f1658,f1661,f1662,f1641,f1642,f1643,f1663,f1664,f1646,f1665,f1649,f1650,f1656,f1652,f1654,f1632,f1692,f1691,f1694,f1695,f1674,f1675,f1676,f1696,f1697,f1679,f1698,f1682,f1683,f1689,f1685,f1687,f1637,f1712,f1713,f1714,f1705,f1706,f1707,f1708,f1709,f1670,f1728,f1729,f1730,f1721,f1722,f1723,f1724,f1725,f530,f1734,f1741,f1736,f1737,f1614,f1762,f1743,f1763,f1764,f1766,f1768,f1770,f1771,f1750,f1772,f1774,f1775,f1777,f1754,f1778,f1779,f862,f1780,f1781,f1782,f1785,f1800,f1787,f1788,f1789,f1801,f1802,f1792,f1793,f1803,f1804,f1796,f1798,f495,f1808,f1809,f1810,f715,f1871,f1872,f1869,f1818,f1819,f1823,f1824,f1873,f1825,f1826,f1874,f1875,f1868,f1876,f1867,f1877,f1878,f1879,f1835,f1866,f1880,f1881,f1864,f1840,f1841,f1843,f1845,f1846,f1847,f1848,f1882,f1883,f1863,f1884,f1862,f1885,f1886,f1887,f1857,f1861,f1860,f1890,f1891,f1904,f1901,f1906,f1893,f1924,f1922,f1925,f1926,f1913,f1914,f1915,f1903,f1951,f1954,f1958,f1960,f1961,f1962,f1963,f1939,f1964,f1966,f1968,f1942,f1969,f1970,f1928,f1900,f1973,f529,f2007,f2008,f2009,f2010,f2005,f2011,f2004,f2012,f2013,f2003,f2014,f2015,f2016,f2017,f1985,f2018,f2002,f2001,f2019,f2020,f2021,f2022,f2023,f2025,f2026,f2027,f1996,f2028,f2029,f1998,f2030,f2031,f1956,f2062,f2063,f2064,f2065,f2060,f2036,f2037,f2041,f2042,f2066,f2043,f2044,f2067,f2046,f2068,f2059,f2069,f2070,f2071,f2058,f2072,f2073,f2074,f2055,f2057,f1959,f2039,f2101,f2077,f2102,f2099,f2103,f2104,f2105,f2083,f2106,f2107,f2085,f2086,f2087,f2088,f2089,f2108,f2109,f2092,f1975,f2110,f2132,f2131,f2133,f2134,f2135,f2120,f2121,f2125,f528,f2136,f2169,f2170,f2167,f2166,f2171,f2165,f2172,f2173,f2174,f2147,f2175,f2164,f2176,f2163,f2177,f2178,f2179,f2181,f2182,f2183,f2158,f2184,f2160,f2185,f2186,f788,f2187,f2188,f2189,f2190,f2191,f2192,f2193,f2194,f2195,f2196,f1467,f2204,f2203,f2205,f1533,f2223,f2224,f2225,f2226,f2228,f2230,f2232,f2233,f2234,f2235,f2215,f1568,f1573,f1783,f2250,f2251,f2252,f2253,f2254,f1797,f533,f2280,f2279,f2281,f2282,f2283,f2274,f2284,f2267,f2268,f2273,f2272,f580,f581,f2300,f2302,f2304,f1502,f2312,f2313,f2314,f2315,f2316,f2317,f2318,f2319,f2320,f2321,f1625,f2322,f2323,f2324,f2325,f1630,f2326,f2327,f2328,f2329,f1813,f2330,f2331,f2335,f2337,f2338,f2339,f2340,f2341,f2342,f2343,f2344,f2345,f2346,f2347,f2348,f2349,f2350,f2352,f2351,f2359,f2361,f2362,f2363,f2364,f2365,f2366,f2332,f2369,f2370,f2371,f2372,f2373,f2374,f2375,f2376,f2377,f2358,f2389,f2390,f2391,f2392,f2393,f2394,f2395,f2396,f2397,f461,f2406,f2407,f2408,f2409,f2410,f2411,f2412,f2413,f2414,f2415,f2416,f2417,f2418,f1821,f2444,f2420,f2445,f2442,f2446,f2447,f2448,f2426,f2449,f2428,f2429,f2430,f2431,f2432,f2450,f2451,f2435,f2238,f2465,f2463,f2462,f2466,f2467,f2240,f2480,f2478,f2481,f2482,f2483,f1074,f2505,f1076,f2512,f2511,f1098,f2528,f2534,f1905,f2557,f2555,f2558,f2559,f2542,f2561,f2562,f2563,f2565,f2567,f2568,f2569,f2571,f2552,f2333,f2575,f2576,f2577,f2578,f2579,f2459,f2589,f2475,f2595,f667,f1114,f2614,f2615,f2616,f2617,f2618,f2619,f2607,f2608,f2609,f2610,f2620,f2621,f1952,f2651,f2652,f2654,f2627,f2628,f2630,f2632,f2633,f2634,f2635,f2636,f2655,f2637,f2638]) ).

fof(f2638,plain,
    ! [X0] :
      ( ~ ordinal(succ(succ(succ(succ(succ(X0))))))
      | ~ ordinal(X0)
      | element(X0,succ(succ(succ(succ(succ(X0))))))
      | ~ being_limit_ordinal(succ(succ(succ(X0))))
      | ~ ordinal(succ(succ(succ(X0)))) ),
    inference(resolution,[],[f1952,f1289]) ).

fof(f2637,plain,
    ! [X0] :
      ( ~ ordinal(succ(succ(succ(succ(succ(X0))))))
      | ~ ordinal(X0)
      | element(X0,succ(succ(succ(succ(succ(X0))))))
      | ~ ordinal(succ(succ(X0))) ),
    inference(resolution,[],[f1952,f1893]) ).

fof(f2655,plain,
    ! [X0] :
      ( ~ ordinal(X0)
      | element(X0,succ(succ(succ(succ(succ(succ(X0)))))))
      | ~ ordinal(succ(succ(X0)))
      | ~ ordinal(succ(succ(succ(succ(X0))))) ),
    inference(global_subsumption,[],[f158,f160,f162,f166,f177,f248,f156,f159,f167,f168,f169,f219,f220,f221,f222,f223,f224,f225,f227,f228,f229,f230,f241,f242,f243,f244,f246,f170,f198,f157,f155,f171,f175,f190,f191,f192,f196,f153,f172,f178,f179,f180,f189,f259,f260,f261,f262,f199,f216,f193,f201,f202,f203,f205,f281,f206,f154,f173,f182,f200,f286,f289,f292,f285,f300,f295,f207,f213,f323,f214,f215,f324,f183,f338,f204,f340,f343,f335,f184,f212,f218,f348,f352,f354,f361,f362,f363,f364,f355,f369,f370,f373,f368,f174,f349,f350,f353,f356,f208,f209,f210,f217,f427,f428,f342,f441,f429,f347,f449,f351,f421,f460,f432,f439,f450,f185,f459,f472,f471,f475,f476,f466,f492,f493,f494,f496,f501,f490,f186,f522,f181,f540,f541,f535,f538,f546,f521,f337,f553,f555,f556,f423,f393,f562,f563,f489,f577,f578,f579,f403,f588,f589,f590,f502,f610,f611,f612,f420,f641,f642,f636,f646,f644,f649,f657,f653,f651,f443,f679,f552,f686,f689,f691,f701,f693,f463,f702,f703,f704,f705,f682,f713,f707,f717,f710,f684,f724,f722,f526,f736,f733,f740,f745,f746,f719,f753,f755,f757,f750,f582,f664,f675,f765,f767,f769,f768,f390,f789,f770,f771,f787,f812,f813,f814,f815,f816,f817,f818,f790,f436,f838,f635,f853,f854,f542,f856,f431,f857,f858,f859,f865,f557,f884,f885,f886,f887,f735,f893,f901,f903,f905,f897,f837,f921,f922,f923,f924,f911,f920,f919,f917,f906,f932,f931,f852,f951,f447,f957,f958,f959,f955,f956,f734,f964,f811,f891,f982,f984,f986,f988,f977,f916,f989,f990,f991,f918,f995,f996,f997,f950,f1004,f499,f1009,f1010,f1011,f1012,f500,f1037,f1038,f1039,f1040,f933,f994,f1075,f1077,f1062,f1063,f1064,f1078,f1066,f1079,f1080,f1069,f1070,f1071,f1072,f999,f1099,f1103,f1087,f1088,f1089,f1106,f1107,f1108,f1094,f1095,f1096,f1097,f1101,f1115,f1105,f1120,f1119,f1002,f1130,f1129,f1007,f1203,f1202,f1137,f1138,f1139,f1199,f1205,f1206,f1145,f1146,f1198,f1196,f1192,f1191,f1162,f1163,f1164,f1188,f1207,f1208,f1170,f1171,f1187,f1185,f645,f1215,f1217,f1212,f1055,f1252,f1250,f1256,f1248,f1257,f1258,f1230,f1259,f1237,f1261,f1262,f1263,f1264,f1243,f1255,f1266,f1270,f1271,f1272,f1268,f1274,f1283,f1276,f1277,f1284,f1278,f1285,f1279,f1253,f1295,f1296,f1293,f1289,f1298,f1308,f1309,f1310,f1303,f1059,f1323,f1324,f1325,f1317,f1318,f1319,f1084,f1338,f1340,f1332,f1333,f1341,f1222,f1366,f1363,f1367,f1368,f1369,f1370,f1371,f1352,f1235,f1373,f1374,f1388,f1390,f1391,f1392,f1393,f1394,f1395,f1379,f1396,f1397,f1381,f1398,f1382,f647,f1408,f1409,f1402,f1404,f1387,f1411,f1422,f1420,f1423,f1424,f1413,f1440,f1438,f1441,f1442,f1443,f1431,f1419,f1444,f444,f1468,f1462,f1461,f1471,f1470,f1489,f1487,f1490,f1491,f1492,f1477,f1483,f1482,f462,f1493,f1494,f1495,f1497,f1498,f1500,f1501,f1499,f1503,f1504,f1505,f1506,f1507,f1508,f1509,f1510,f1511,f468,f1513,f1512,f1514,f741,f1526,f1525,f1527,f1528,f1529,f1521,f699,f1541,f1542,f1543,f1544,f1546,f1548,f1539,f844,f1579,f1578,f1580,f1581,f1582,f1555,f1556,f1583,f1584,f1585,f1560,f1577,f1576,f1575,f1574,f1572,f1569,f1571,f845,f1612,f1613,f1611,f1610,f1609,f1592,f1608,f1607,f1606,f1615,f1616,f1617,f1620,f1604,f1622,f1619,f1623,f1624,f1621,f1628,f1629,f1627,f1659,f1658,f1661,f1662,f1641,f1642,f1643,f1663,f1664,f1646,f1665,f1649,f1650,f1656,f1652,f1654,f1632,f1692,f1691,f1694,f1695,f1674,f1675,f1676,f1696,f1697,f1679,f1698,f1682,f1683,f1689,f1685,f1687,f1637,f1712,f1713,f1714,f1705,f1706,f1707,f1708,f1709,f1670,f1728,f1729,f1730,f1721,f1722,f1723,f1724,f1725,f530,f1734,f1741,f1736,f1737,f1614,f1762,f1743,f1763,f1764,f1766,f1768,f1770,f1771,f1750,f1772,f1774,f1775,f1777,f1754,f1778,f1779,f862,f1780,f1781,f1782,f1785,f1800,f1787,f1788,f1789,f1801,f1802,f1792,f1793,f1803,f1804,f1796,f1798,f495,f1808,f1809,f1810,f715,f1871,f1872,f1869,f1818,f1819,f1823,f1824,f1873,f1825,f1826,f1874,f1875,f1868,f1876,f1867,f1877,f1878,f1879,f1835,f1866,f1880,f1881,f1864,f1840,f1841,f1843,f1845,f1846,f1847,f1848,f1882,f1883,f1863,f1884,f1862,f1885,f1886,f1887,f1857,f1861,f1860,f1890,f1891,f1904,f1901,f1906,f1893,f1924,f1922,f1925,f1926,f1913,f1914,f1915,f1903,f1951,f1954,f1958,f1960,f1961,f1962,f1963,f1939,f1964,f1966,f1968,f1942,f1969,f1970,f1928,f1900,f1973,f529,f2007,f2008,f2009,f2010,f2005,f2011,f2004,f2012,f2013,f2003,f2014,f2015,f2016,f2017,f1985,f2018,f2002,f2001,f2019,f2020,f2021,f2022,f2023,f2025,f2026,f2027,f1996,f2028,f2029,f1998,f2030,f2031,f1956,f2062,f2063,f2064,f2065,f2060,f2036,f2037,f2041,f2042,f2066,f2043,f2044,f2067,f2046,f2068,f2059,f2069,f2070,f2071,f2058,f2072,f2073,f2074,f2055,f2057,f1959,f2039,f2101,f2077,f2102,f2099,f2103,f2104,f2105,f2083,f2106,f2107,f2085,f2086,f2087,f2088,f2089,f2108,f2109,f2092,f1975,f2110,f2132,f2131,f2133,f2134,f2135,f2120,f2121,f2125,f528,f2136,f2169,f2170,f2167,f2166,f2171,f2165,f2172,f2173,f2174,f2147,f2175,f2164,f2176,f2163,f2177,f2178,f2179,f2181,f2182,f2183,f2158,f2184,f2160,f2185,f2186,f788,f2187,f2188,f2189,f2190,f2191,f2192,f2193,f2194,f2195,f2196,f1467,f2204,f2203,f2205,f1533,f2223,f2224,f2225,f2226,f2228,f2230,f2232,f2233,f2234,f2235,f2215,f1568,f1573,f1783,f2250,f2251,f2252,f2253,f2254,f1797,f533,f2280,f2279,f2281,f2282,f2283,f2274,f2284,f2267,f2268,f2273,f2272,f580,f581,f2300,f2302,f2304,f1502,f2312,f2313,f2314,f2315,f2316,f2317,f2318,f2319,f2320,f2321,f1625,f2322,f2323,f2324,f2325,f1630,f2326,f2327,f2328,f2329,f1813,f2330,f2331,f2335,f2337,f2338,f2339,f2340,f2341,f2342,f2343,f2344,f2345,f2346,f2347,f2348,f2349,f2350,f2352,f2351,f2359,f2361,f2362,f2363,f2364,f2365,f2366,f2332,f2369,f2370,f2371,f2372,f2373,f2374,f2375,f2376,f2377,f2358,f2389,f2390,f2391,f2392,f2393,f2394,f2395,f2396,f2397,f461,f2406,f2407,f2408,f2409,f2410,f2411,f2412,f2413,f2414,f2415,f2416,f2417,f2418,f1821,f2444,f2420,f2445,f2442,f2446,f2447,f2448,f2426,f2449,f2428,f2429,f2430,f2431,f2432,f2450,f2451,f2435,f2238,f2465,f2463,f2462,f2466,f2467,f2240,f2480,f2478,f2481,f2482,f2483,f1074,f2505,f1076,f2512,f2511,f1098,f2528,f2534,f1905,f2557,f2555,f2558,f2559,f2542,f2561,f2562,f2563,f2565,f2567,f2568,f2569,f2571,f2552,f2333,f2575,f2576,f2577,f2578,f2579,f2459,f2589,f2475,f2595,f667,f1114,f2614,f2615,f2616,f2617,f2618,f2619,f2607,f2608,f2609,f2610,f2620,f2621,f1952,f2651,f2652,f2654,f2627,f2628,f2630,f2632,f2633,f2634,f2635,f2636]) ).

fof(f2636,plain,
    ! [X0] :
      ( ~ ordinal(succ(succ(succ(succ(succ(succ(X0)))))))
      | ~ ordinal(X0)
      | element(X0,succ(succ(succ(succ(succ(succ(X0)))))))
      | ~ ordinal(succ(succ(X0)))
      | ~ ordinal(succ(succ(succ(succ(X0))))) ),
    inference(resolution,[],[f1952,f719]) ).

fof(f2635,plain,
    ! [X0] :
      ( ~ ordinal(succ(succ(succ(succ(succ(succ(X0)))))))
      | ~ ordinal(X0)
      | element(X0,succ(succ(succ(succ(succ(succ(X0)))))))
      | ~ ordinal(succ(succ(succ(X0)))) ),
    inference(resolution,[],[f1952,f1268]) ).

fof(f2634,plain,
    ! [X0] :
      ( ~ ordinal(succ(succ(succ(succ(succ(succ(X0)))))))
      | ~ ordinal(X0)
      | element(X0,succ(succ(succ(succ(succ(succ(X0)))))))
      | ~ ordinal(succ(succ(X0))) ),
    inference(resolution,[],[f1952,f1413]) ).

fof(f2633,plain,
    ! [X0] :
      ( ~ ordinal(succ(succ(sK3(succ(succ(X0))))))
      | ~ ordinal(X0)
      | element(X0,succ(succ(sK3(succ(succ(X0))))))
      | being_limit_ordinal(succ(succ(X0)))
      | ~ ordinal(succ(succ(X0))) ),
    inference(resolution,[],[f1952,f184]) ).

fof(f2632,plain,
    ! [X0] :
      ( ~ ordinal(succ(succ(succ(succ(X0)))))
      | ~ ordinal(X0)
      | element(X0,succ(succ(succ(succ(X0))))) ),
    inference(resolution,[],[f1952,f281]) ).

fof(f2628,plain,
    ! [X2,X0,X1] :
      ( ~ ordinal(succ(X0))
      | ~ ordinal(X1)
      | element(X1,succ(X0))
      | element(X0,X2)
      | ~ ordinal(X2)
      | ~ ordinal(succ(succ(X1)))
      | ordinal_subset(X2,succ(succ(X1))) ),
    inference(resolution,[],[f1952,f837]) ).

fof(f2627,plain,
    ! [X2,X0,X1] :
      ( ~ ordinal(succ(X0))
      | ~ ordinal(X1)
      | element(X1,succ(X0))
      | element(X0,succ(X2))
      | ~ ordinal(succ(succ(X1)))
      | ~ ordinal(X2)
      | in(X2,succ(succ(X1))) ),
    inference(resolution,[],[f1952,f844]) ).

fof(f2654,plain,
    ! [X0,X1] :
      ( ~ ordinal(X1)
      | element(X1,succ(X0))
      | ~ being_limit_ordinal(X0)
      | ~ ordinal(X0)
      | ~ in(succ(X1),X0) ),
    inference(subsumption_resolution,[],[f2653,f180]) ).

fof(f2653,plain,
    ! [X0,X1] :
      ( ~ ordinal(X1)
      | element(X1,succ(X0))
      | ~ ordinal(succ(X1))
      | ~ being_limit_ordinal(X0)
      | ~ ordinal(X0)
      | ~ in(succ(X1),X0) ),
    inference(subsumption_resolution,[],[f2625,f180]) ).

fof(f2625,plain,
    ! [X0,X1] :
      ( ~ ordinal(succ(X0))
      | ~ ordinal(X1)
      | element(X1,succ(X0))
      | ~ ordinal(succ(X1))
      | ~ being_limit_ordinal(X0)
      | ~ ordinal(X0)
      | ~ in(succ(X1),X0) ),
    inference(resolution,[],[f1952,f526]) ).

fof(f2652,plain,
    ! [X2,X0,X1] :
      ( ~ ordinal(succ(X0))
      | ~ ordinal(X1)
      | element(X1,succ(X0))
      | element(X0,X2)
      | ~ ordinal(X2)
      | ~ in(succ(X1),X2) ),
    inference(subsumption_resolution,[],[f2624,f180]) ).

fof(f2624,plain,
    ! [X2,X0,X1] :
      ( ~ ordinal(succ(X0))
      | ~ ordinal(X1)
      | element(X1,succ(X0))
      | element(X0,X2)
      | ~ ordinal(X2)
      | ~ in(succ(X1),X2)
      | ~ ordinal(succ(X1)) ),
    inference(resolution,[],[f1952,f845]) ).

fof(f2651,plain,
    ! [X2,X0,X1] :
      ( ~ ordinal(succ(X0))
      | ~ ordinal(X1)
      | element(X1,succ(X0))
      | ~ being_limit_ordinal(powerset(X2))
      | ~ ordinal(powerset(X2))
      | ~ in(succ(X1),powerset(X2))
      | element(X0,X2) ),
    inference(subsumption_resolution,[],[f2622,f180]) ).

fof(f2622,plain,
    ! [X2,X0,X1] :
      ( ~ ordinal(succ(X0))
      | ~ ordinal(X1)
      | element(X1,succ(X0))
      | ~ ordinal(succ(X1))
      | ~ being_limit_ordinal(powerset(X2))
      | ~ ordinal(powerset(X2))
      | ~ in(succ(X1),powerset(X2))
      | element(X0,X2) ),
    inference(resolution,[],[f1952,f528]) ).

fof(f1952,plain,
    ! [X0,X1] :
      ( in(X1,succ(succ(X0)))
      | ~ ordinal(succ(X1))
      | ~ ordinal(X0)
      | element(X0,succ(X1)) ),
    inference(subsumption_resolution,[],[f1949,f180]) ).

fof(f1949,plain,
    ! [X0,X1] :
      ( element(X0,succ(X1))
      | ~ ordinal(succ(X1))
      | ~ ordinal(X0)
      | in(X1,succ(succ(X0)))
      | ~ ordinal(succ(X0)) ),
    inference(duplicate_literal_removal,[],[f1930]) ).

fof(f1930,plain,
    ! [X0,X1] :
      ( element(X0,succ(X1))
      | ~ ordinal(succ(X1))
      | ~ ordinal(X0)
      | in(X1,succ(succ(X0)))
      | ~ ordinal(succ(X0))
      | ~ ordinal(succ(X1)) ),
    inference(resolution,[],[f1903,f1055]) ).

fof(f2621,plain,
    ! [X0,X1] :
      ( being_limit_ordinal(X0)
      | ~ being_limit_ordinal(sK3(X0))
      | element(sK4(succ(X1)),X0)
      | ~ ordinal(X0)
      | ~ in(X1,sK3(X0))
      | ~ ordinal(X1) ),
    inference(subsumption_resolution,[],[f2612,f182]) ).

fof(f2612,plain,
    ! [X0,X1] :
      ( being_limit_ordinal(X0)
      | ~ being_limit_ordinal(sK3(X0))
      | element(sK4(succ(X1)),X0)
      | ~ ordinal(X0)
      | ~ in(X1,sK3(X0))
      | ~ ordinal(X1)
      | ~ ordinal(sK3(X0)) ),
    inference(resolution,[],[f1114,f1632]) ).

fof(f2620,plain,
    ! [X0,X1] :
      ( being_limit_ordinal(X0)
      | ~ being_limit_ordinal(sK3(X0))
      | element(sK4(X1),X0)
      | ~ ordinal(X0)
      | ~ ordinal(X1)
      | ordinal_subset(sK3(X0),X1)
      | empty(X1) ),
    inference(subsumption_resolution,[],[f2611,f182]) ).

fof(f2611,plain,
    ! [X0,X1] :
      ( being_limit_ordinal(X0)
      | ~ being_limit_ordinal(sK3(X0))
      | element(sK4(X1),X0)
      | ~ ordinal(X0)
      | ~ ordinal(X1)
      | ordinal_subset(sK3(X0),X1)
      | empty(X1)
      | ~ ordinal(sK3(X0)) ),
    inference(resolution,[],[f1114,f994]) ).

fof(f2610,plain,
    ! [X0] :
      ( being_limit_ordinal(X0)
      | ~ being_limit_ordinal(sK3(X0))
      | element(sK4(sK4(powerset(sK4(powerset(sK3(X0)))))),X0)
      | ~ ordinal(X0)
      | empty(sK4(powerset(sK4(powerset(sK3(X0)))))) ),
    inference(resolution,[],[f1114,f1813]) ).

fof(f2609,plain,
    ! [X0] :
      ( being_limit_ordinal(X0)
      | ~ being_limit_ordinal(sK3(X0))
      | element(sK4(sK4(powerset(sK3(X0)))),X0)
      | ~ ordinal(X0)
      | empty(sK4(powerset(sK3(X0)))) ),
    inference(resolution,[],[f1114,f466]) ).

fof(f2608,plain,
    ! [X0] :
      ( being_limit_ordinal(X0)
      | ~ being_limit_ordinal(sK3(X0))
      | element(sK4(sK3(X0)),X0)
      | ~ ordinal(X0)
      | empty(sK3(X0)) ),
    inference(resolution,[],[f1114,f340]) ).

fof(f2607,plain,
    ! [X0] :
      ( being_limit_ordinal(X0)
      | ~ being_limit_ordinal(sK3(X0))
      | element(sK3(sK4(powerset(sK3(X0)))),X0)
      | ~ ordinal(X0)
      | ~ ordinal(sK4(powerset(sK3(X0))))
      | being_limit_ordinal(sK4(powerset(sK3(X0)))) ),
    inference(resolution,[],[f1114,f862]) ).

fof(f2619,plain,
    ! [X0,X1] :
      ( being_limit_ordinal(X0)
      | ~ being_limit_ordinal(sK3(X0))
      | element(sK3(succ(X1)),X0)
      | ~ ordinal(X0)
      | ~ in(X1,sK3(X0))
      | ~ ordinal(X1) ),
    inference(subsumption_resolution,[],[f2606,f182]) ).

fof(f2606,plain,
    ! [X0,X1] :
      ( being_limit_ordinal(X0)
      | ~ being_limit_ordinal(sK3(X0))
      | element(sK3(succ(X1)),X0)
      | ~ ordinal(X0)
      | ~ in(X1,sK3(X0))
      | ~ ordinal(X1)
      | ~ ordinal(sK3(X0)) ),
    inference(resolution,[],[f1114,f1627]) ).

fof(f2618,plain,
    ! [X0,X1] :
      ( being_limit_ordinal(X0)
      | ~ being_limit_ordinal(sK3(X0))
      | element(sK3(X1),X0)
      | ~ ordinal(X0)
      | ~ ordinal(X1)
      | ordinal_subset(sK3(X0),X1)
      | being_limit_ordinal(X1) ),
    inference(subsumption_resolution,[],[f2605,f182]) ).

fof(f2605,plain,
    ! [X0,X1] :
      ( being_limit_ordinal(X0)
      | ~ being_limit_ordinal(sK3(X0))
      | element(sK3(X1),X0)
      | ~ ordinal(X0)
      | ~ ordinal(X1)
      | ordinal_subset(sK3(X0),X1)
      | being_limit_ordinal(X1)
      | ~ ordinal(sK3(X0)) ),
    inference(resolution,[],[f1114,f999]) ).

fof(f2617,plain,
    ! [X0,X1] :
      ( being_limit_ordinal(X0)
      | ~ being_limit_ordinal(sK3(X0))
      | element(succ(X1),X0)
      | ~ ordinal(X0)
      | ~ in(X1,sK3(X0))
      | ~ ordinal(X1) ),
    inference(subsumption_resolution,[],[f2613,f182]) ).

fof(f2613,plain,
    ! [X0,X1] :
      ( being_limit_ordinal(X0)
      | ~ being_limit_ordinal(sK3(X0))
      | element(succ(X1),X0)
      | ~ ordinal(X0)
      | ~ in(X1,sK3(X0))
      | ~ ordinal(X1)
      | ~ ordinal(sK3(X0)) ),
    inference(duplicate_literal_removal,[],[f2603]) ).

fof(f2603,plain,
    ! [X0,X1] :
      ( being_limit_ordinal(X0)
      | ~ being_limit_ordinal(sK3(X0))
      | element(succ(X1),X0)
      | ~ ordinal(X0)
      | ~ in(X1,sK3(X0))
      | ~ ordinal(X1)
      | ~ being_limit_ordinal(sK3(X0))
      | ~ ordinal(sK3(X0)) ),
    inference(resolution,[],[f1114,f181]) ).

fof(f2616,plain,
    ! [X0,X1] :
      ( being_limit_ordinal(X0)
      | ~ being_limit_ordinal(sK3(X0))
      | element(X1,X0)
      | ~ ordinal(X0)
      | ~ empty(X1)
      | sK3(X0) = X1 ),
    inference(subsumption_resolution,[],[f2602,f182]) ).

fof(f2602,plain,
    ! [X0,X1] :
      ( being_limit_ordinal(X0)
      | ~ being_limit_ordinal(sK3(X0))
      | element(X1,X0)
      | ~ ordinal(X0)
      | ~ ordinal(sK3(X0))
      | ~ empty(X1)
      | sK3(X0) = X1 ),
    inference(resolution,[],[f1114,f653]) ).

fof(f2615,plain,
    ! [X0,X1] :
      ( being_limit_ordinal(X0)
      | ~ being_limit_ordinal(sK3(X0))
      | element(X1,X0)
      | ~ ordinal(X0)
      | in(sK3(X0),X1)
      | ~ ordinal(X1)
      | sK3(X0) = X1 ),
    inference(subsumption_resolution,[],[f2601,f182]) ).

fof(f2601,plain,
    ! [X0,X1] :
      ( being_limit_ordinal(X0)
      | ~ being_limit_ordinal(sK3(X0))
      | element(X1,X0)
      | ~ ordinal(X0)
      | in(sK3(X0),X1)
      | ~ ordinal(sK3(X0))
      | ~ ordinal(X1)
      | sK3(X0) = X1 ),
    inference(resolution,[],[f1114,f1007]) ).

fof(f2614,plain,
    ! [X0,X1] :
      ( being_limit_ordinal(X0)
      | ~ being_limit_ordinal(sK3(X0))
      | element(X1,X0)
      | ~ ordinal(X0)
      | in(sK3(X0),X1)
      | ~ ordinal(X1)
      | sK3(X0) = X1 ),
    inference(subsumption_resolution,[],[f2600,f182]) ).

fof(f2600,plain,
    ! [X0,X1] :
      ( being_limit_ordinal(X0)
      | ~ being_limit_ordinal(sK3(X0))
      | element(X1,X0)
      | ~ ordinal(X0)
      | in(sK3(X0),X1)
      | ~ ordinal(X1)
      | ~ ordinal(sK3(X0))
      | sK3(X0) = X1 ),
    inference(resolution,[],[f1114,f1007]) ).

fof(f1114,plain,
    ! [X0,X1] :
      ( ~ in(X1,sK3(X0))
      | being_limit_ordinal(X0)
      | ~ being_limit_ordinal(sK3(X0))
      | element(X1,X0)
      | ~ ordinal(X0) ),
    inference(subsumption_resolution,[],[f1113,f182]) ).

fof(f1113,plain,
    ! [X0,X1] :
      ( ~ ordinal(X0)
      | being_limit_ordinal(X0)
      | ~ being_limit_ordinal(sK3(X0))
      | element(X1,X0)
      | ~ in(X1,sK3(X0))
      | ~ ordinal(sK3(X0)) ),
    inference(duplicate_literal_removal,[],[f1109]) ).

fof(f1109,plain,
    ! [X0,X1] :
      ( ~ ordinal(X0)
      | being_limit_ordinal(X0)
      | ~ being_limit_ordinal(sK3(X0))
      | element(X1,X0)
      | ~ in(X1,sK3(X0))
      | ~ ordinal(X0)
      | ~ ordinal(sK3(X0)) ),
    inference(resolution,[],[f1101,f436]) ).

fof(f667,plain,
    ! [X0,X1] :
      ( ~ ordinal(sK4(powerset(X0)))
      | ~ empty(X1)
      | sK4(powerset(X0)) = X1
      | element(X1,X0) ),
    inference(resolution,[],[f653,f427]) ).

fof(f2595,plain,
    ! [X0,X1] :
      ( in(X0,X1)
      | being_limit_ordinal(X1)
      | ~ ordinal(X1)
      | ~ ordinal(X0)
      | ~ in(X0,sK3(X1))
      | ~ being_limit_ordinal(sK3(X1)) ),
    inference(subsumption_resolution,[],[f2594,f182]) ).

fof(f2594,plain,
    ! [X0,X1] :
      ( in(X0,X1)
      | being_limit_ordinal(X1)
      | ~ ordinal(X1)
      | ~ ordinal(X0)
      | ~ in(X0,sK3(X1))
      | ~ being_limit_ordinal(sK3(X1))
      | ~ ordinal(sK3(X1)) ),
    inference(duplicate_literal_removal,[],[f2590]) ).

fof(f2590,plain,
    ! [X0,X1] :
      ( in(X0,X1)
      | being_limit_ordinal(X1)
      | ~ ordinal(X1)
      | ~ ordinal(X0)
      | ~ in(X0,sK3(X1))
      | ~ ordinal(X0)
      | ~ being_limit_ordinal(sK3(X1))
      | ~ ordinal(sK3(X1)) ),
    inference(resolution,[],[f2475,f181]) ).

fof(f2475,plain,
    ! [X0,X1] :
      ( ~ in(succ(X0),sK3(X1))
      | in(X0,X1)
      | being_limit_ordinal(X1)
      | ~ ordinal(X1)
      | ~ ordinal(X0) ),
    inference(resolution,[],[f2240,f205]) ).

fof(f2589,plain,
    ! [X0,X1] :
      ( in(X0,X1)
      | empty(X1)
      | ~ ordinal(X1)
      | ~ ordinal(X0)
      | ~ in(X0,sK4(X1))
      | ~ being_limit_ordinal(sK4(X1))
      | ~ ordinal(sK4(X1)) ),
    inference(duplicate_literal_removal,[],[f2584]) ).

fof(f2584,plain,
    ! [X0,X1] :
      ( in(X0,X1)
      | empty(X1)
      | ~ ordinal(X1)
      | ~ ordinal(X0)
      | ~ in(X0,sK4(X1))
      | ~ ordinal(X0)
      | ~ being_limit_ordinal(sK4(X1))
      | ~ ordinal(sK4(X1)) ),
    inference(resolution,[],[f2459,f181]) ).

fof(f2459,plain,
    ! [X0,X1] :
      ( ~ in(succ(X0),sK4(X1))
      | in(X0,X1)
      | empty(X1)
      | ~ ordinal(X1)
      | ~ ordinal(X0) ),
    inference(resolution,[],[f2238,f205]) ).

fof(f2579,plain,
    ! [X0] :
      ( empty(sK4(powerset(sK4(powerset(sK4(succ(X0)))))))
      | ~ in(X0,sK4(sK4(powerset(sK4(powerset(sK4(succ(X0))))))))
      | ~ ordinal(X0)
      | ~ ordinal(sK4(sK4(powerset(sK4(powerset(sK4(succ(X0)))))))) ),
    inference(resolution,[],[f2333,f1632]) ).

fof(f2578,plain,
    ! [X0] :
      ( empty(sK4(powerset(sK4(powerset(sK4(X0))))))
      | ~ ordinal(X0)
      | ordinal_subset(sK4(sK4(powerset(sK4(powerset(sK4(X0)))))),X0)
      | empty(X0)
      | ~ ordinal(sK4(sK4(powerset(sK4(powerset(sK4(X0))))))) ),
    inference(resolution,[],[f2333,f994]) ).

fof(f2577,plain,
    ! [X0] :
      ( empty(sK4(powerset(sK4(powerset(sK3(succ(X0)))))))
      | ~ in(X0,sK4(sK4(powerset(sK4(powerset(sK3(succ(X0))))))))
      | ~ ordinal(X0)
      | ~ ordinal(sK4(sK4(powerset(sK4(powerset(sK3(succ(X0)))))))) ),
    inference(resolution,[],[f2333,f1627]) ).

fof(f2576,plain,
    ! [X0] :
      ( empty(sK4(powerset(sK4(powerset(sK3(X0))))))
      | ~ ordinal(X0)
      | ordinal_subset(sK4(sK4(powerset(sK4(powerset(sK3(X0)))))),X0)
      | being_limit_ordinal(X0)
      | ~ ordinal(sK4(sK4(powerset(sK4(powerset(sK3(X0))))))) ),
    inference(resolution,[],[f2333,f999]) ).

fof(f2575,plain,
    ! [X0] :
      ( empty(sK4(powerset(sK4(powerset(succ(X0))))))
      | ~ in(X0,sK4(sK4(powerset(sK4(powerset(succ(X0)))))))
      | ~ ordinal(X0)
      | ~ being_limit_ordinal(sK4(sK4(powerset(sK4(powerset(succ(X0)))))))
      | ~ ordinal(sK4(sK4(powerset(sK4(powerset(succ(X0))))))) ),
    inference(resolution,[],[f2333,f181]) ).

fof(f2333,plain,
    ! [X0] :
      ( ~ in(X0,sK4(sK4(powerset(sK4(powerset(X0))))))
      | empty(sK4(powerset(sK4(powerset(X0))))) ),
    inference(resolution,[],[f1813,f205]) ).

fof(f2552,plain,
    ! [X0] :
      ( ~ ordinal(powerset(X0))
      | ~ ordinal(succ(succ(succ(powerset(X0)))))
      | ~ subset(succ(succ(succ(succ(powerset(X0))))),X0)
      | empty(powerset(X0)) ),
    inference(resolution,[],[f1905,f439]) ).

fof(f2571,plain,
    ! [X0] :
      ( ~ ordinal(succ(succ(succ(succ(succ(X0))))))
      | element(X0,succ(succ(succ(succ(succ(succ(X0)))))))
      | ~ ordinal(succ(X0)) ),
    inference(subsumption_resolution,[],[f2570,f180]) ).

fof(f2570,plain,
    ! [X0] :
      ( ~ ordinal(succ(succ(succ(succ(succ(X0))))))
      | ~ ordinal(succ(succ(succ(succ(succ(succ(X0)))))))
      | element(X0,succ(succ(succ(succ(succ(succ(X0)))))))
      | ~ ordinal(succ(X0)) ),
    inference(subsumption_resolution,[],[f2551,f180]) ).

fof(f2551,plain,
    ! [X0] :
      ( ~ ordinal(succ(succ(X0)))
      | ~ ordinal(succ(succ(succ(succ(succ(X0))))))
      | ~ ordinal(succ(succ(succ(succ(succ(succ(X0)))))))
      | element(X0,succ(succ(succ(succ(succ(succ(X0)))))))
      | ~ ordinal(succ(X0)) ),
    inference(resolution,[],[f1905,f1614]) ).

fof(f2569,plain,
    ! [X0] :
      ( ~ ordinal(succ(succ(X0)))
      | ~ ordinal(succ(succ(succ(succ(succ(X0))))))
      | element(X0,succ(succ(succ(succ(succ(succ(succ(X0))))))))
      | ~ ordinal(X0) ),
    inference(subsumption_resolution,[],[f2550,f180]) ).

fof(f2550,plain,
    ! [X0] :
      ( ~ ordinal(succ(succ(X0)))
      | ~ ordinal(succ(succ(succ(succ(succ(X0))))))
      | element(X0,succ(succ(succ(succ(succ(succ(succ(X0))))))))
      | ~ ordinal(succ(succ(succ(succ(succ(succ(X0)))))))
      | ~ ordinal(X0) ),
    inference(resolution,[],[f1905,f2039]) ).

fof(f2568,plain,
    ! [X0] :
      ( ~ ordinal(succ(succ(X0)))
      | ~ ordinal(succ(succ(succ(succ(succ(X0))))))
      | ~ ordinal(X0)
      | in(X0,succ(succ(succ(succ(succ(succ(succ(succ(X0))))))))) ),
    inference(subsumption_resolution,[],[f2549,f180]) ).

fof(f2549,plain,
    ! [X0] :
      ( ~ ordinal(succ(succ(X0)))
      | ~ ordinal(succ(succ(succ(succ(succ(X0))))))
      | ~ ordinal(succ(succ(succ(succ(succ(succ(X0)))))))
      | ~ ordinal(X0)
      | in(X0,succ(succ(succ(succ(succ(succ(succ(succ(X0))))))))) ),
    inference(resolution,[],[f1905,f1821]) ).

fof(f2567,plain,
    ! [X0] :
      ( ~ ordinal(succ(succ(succ(succ(X0)))))
      | ~ ordinal(X0)
      | in(X0,succ(succ(succ(succ(succ(succ(X0))))))) ),
    inference(subsumption_resolution,[],[f2566,f180]) ).

fof(f2566,plain,
    ! [X0] :
      ( ~ ordinal(succ(succ(succ(succ(X0)))))
      | ~ ordinal(succ(succ(succ(succ(succ(X0))))))
      | ~ ordinal(X0)
      | in(X0,succ(succ(succ(succ(succ(succ(X0))))))) ),
    inference(subsumption_resolution,[],[f2548,f180]) ).

fof(f2548,plain,
    ! [X0] :
      ( ~ ordinal(succ(X0))
      | ~ ordinal(succ(succ(succ(succ(X0)))))
      | ~ ordinal(succ(succ(succ(succ(succ(X0))))))
      | ~ ordinal(X0)
      | in(X0,succ(succ(succ(succ(succ(succ(X0))))))) ),
    inference(resolution,[],[f1905,f682]) ).

fof(f2565,plain,
    ! [X0] :
      ( ~ ordinal(succ(succ(succ(succ(X0)))))
      | ~ ordinal(X0)
      | ~ in(succ(succ(succ(succ(succ(X0))))),X0)
      | ~ being_limit_ordinal(X0) ),
    inference(subsumption_resolution,[],[f2564,f180]) ).

fof(f2564,plain,
    ! [X0] :
      ( ~ ordinal(succ(succ(succ(succ(X0)))))
      | ~ ordinal(X0)
      | ~ in(succ(succ(succ(succ(succ(X0))))),X0)
      | ~ ordinal(succ(succ(succ(succ(succ(X0))))))
      | ~ being_limit_ordinal(X0) ),
    inference(subsumption_resolution,[],[f2547,f180]) ).

fof(f2547,plain,
    ! [X0] :
      ( ~ ordinal(succ(X0))
      | ~ ordinal(succ(succ(succ(succ(X0)))))
      | ~ ordinal(X0)
      | ~ in(succ(succ(succ(succ(succ(X0))))),X0)
      | ~ ordinal(succ(succ(succ(succ(succ(X0))))))
      | ~ being_limit_ordinal(X0) ),
    inference(resolution,[],[f1905,f891]) ).

fof(f2563,plain,
    ! [X0] :
      ( ~ ordinal(succ(X0))
      | ~ ordinal(succ(succ(succ(succ(X0)))))
      | in(X0,succ(succ(succ(succ(succ(succ(X0))))))) ),
    inference(subsumption_resolution,[],[f2553,f180]) ).

fof(f2553,plain,
    ! [X0] :
      ( ~ ordinal(succ(X0))
      | ~ ordinal(succ(succ(succ(succ(X0)))))
      | ~ ordinal(succ(succ(succ(succ(succ(X0))))))
      | in(X0,succ(succ(succ(succ(succ(succ(X0))))))) ),
    inference(duplicate_literal_removal,[],[f2546]) ).

fof(f2546,plain,
    ! [X0] :
      ( ~ ordinal(succ(X0))
      | ~ ordinal(succ(succ(succ(succ(X0)))))
      | ~ ordinal(succ(succ(succ(succ(succ(X0))))))
      | ~ ordinal(succ(X0))
      | in(X0,succ(succ(succ(succ(succ(succ(X0))))))) ),
    inference(resolution,[],[f1905,f1222]) ).

fof(f2562,plain,
    ! [X0] :
      ( ~ ordinal(succ(succ(succ(succ(X0)))))
      | ~ ordinal(X0)
      | ~ ordinal(succ(succ(succ(succ(succ(succ(X0)))))))
      | in(X0,succ(succ(succ(succ(succ(succ(X0))))))) ),
    inference(subsumption_resolution,[],[f2545,f180]) ).

fof(f2545,plain,
    ! [X0] :
      ( ~ ordinal(succ(X0))
      | ~ ordinal(succ(succ(succ(succ(X0)))))
      | ~ ordinal(X0)
      | ~ ordinal(succ(succ(succ(succ(succ(succ(X0)))))))
      | in(X0,succ(succ(succ(succ(succ(succ(X0))))))) ),
    inference(resolution,[],[f1905,f1235]) ).

fof(f2561,plain,
    ! [X0] :
      ( ~ ordinal(succ(succ(succ(succ(X0)))))
      | element(X0,succ(succ(succ(succ(succ(X0))))))
      | ~ ordinal(X0) ),
    inference(subsumption_resolution,[],[f2560,f180]) ).

fof(f2560,plain,
    ! [X0] :
      ( ~ ordinal(succ(succ(succ(succ(X0)))))
      | element(X0,succ(succ(succ(succ(succ(X0))))))
      | ~ ordinal(succ(succ(succ(succ(succ(X0))))))
      | ~ ordinal(X0) ),
    inference(subsumption_resolution,[],[f2544,f180]) ).

fof(f2544,plain,
    ! [X0] :
      ( ~ ordinal(succ(X0))
      | ~ ordinal(succ(succ(succ(succ(X0)))))
      | element(X0,succ(succ(succ(succ(succ(X0))))))
      | ~ ordinal(succ(succ(succ(succ(succ(X0))))))
      | ~ ordinal(X0) ),
    inference(resolution,[],[f1905,f1903]) ).

fof(f2559,plain,
    ! [X0,X1] :
      ( ~ ordinal(X0)
      | ~ ordinal(succ(succ(succ(X0))))
      | element(X0,X1)
      | ~ ordinal(X1)
      | ordinal_subset(X1,succ(succ(succ(succ(X0))))) ),
    inference(subsumption_resolution,[],[f2540,f180]) ).

fof(f2540,plain,
    ! [X0,X1] :
      ( ~ ordinal(X0)
      | ~ ordinal(succ(succ(succ(X0))))
      | element(X0,X1)
      | ~ ordinal(X1)
      | ~ ordinal(succ(succ(succ(succ(X0)))))
      | ordinal_subset(X1,succ(succ(succ(succ(X0))))) ),
    inference(resolution,[],[f1905,f837]) ).

fof(f2558,plain,
    ! [X0,X1] :
      ( ~ ordinal(X0)
      | ~ ordinal(succ(succ(succ(X0))))
      | element(X0,succ(X1))
      | ~ ordinal(X1)
      | in(X1,succ(succ(succ(succ(X0))))) ),
    inference(subsumption_resolution,[],[f2539,f180]) ).

fof(f2539,plain,
    ! [X0,X1] :
      ( ~ ordinal(X0)
      | ~ ordinal(succ(succ(succ(X0))))
      | element(X0,succ(X1))
      | ~ ordinal(succ(succ(succ(succ(X0)))))
      | ~ ordinal(X1)
      | in(X1,succ(succ(succ(succ(X0))))) ),
    inference(resolution,[],[f1905,f844]) ).

fof(f2555,plain,
    ! [X0,X1] :
      ( ~ ordinal(X0)
      | ~ ordinal(succ(succ(succ(X0))))
      | element(X0,X1)
      | ~ ordinal(X1)
      | ~ in(succ(succ(succ(X0))),X1) ),
    inference(duplicate_literal_removal,[],[f2537]) ).

fof(f2537,plain,
    ! [X0,X1] :
      ( ~ ordinal(X0)
      | ~ ordinal(succ(succ(succ(X0))))
      | element(X0,X1)
      | ~ ordinal(X1)
      | ~ in(succ(succ(succ(X0))),X1)
      | ~ ordinal(succ(succ(succ(X0)))) ),
    inference(resolution,[],[f1905,f845]) ).

fof(f2557,plain,
    ! [X0,X1] :
      ( ~ ordinal(X0)
      | ~ ordinal(succ(succ(succ(X0))))
      | ~ being_limit_ordinal(powerset(X1))
      | ~ ordinal(powerset(X1))
      | ~ in(succ(succ(succ(X0))),powerset(X1))
      | element(X0,X1) ),
    inference(duplicate_literal_removal,[],[f2535]) ).

fof(f2535,plain,
    ! [X0,X1] :
      ( ~ ordinal(X0)
      | ~ ordinal(succ(succ(succ(X0))))
      | ~ ordinal(succ(succ(succ(X0))))
      | ~ being_limit_ordinal(powerset(X1))
      | ~ ordinal(powerset(X1))
      | ~ in(succ(succ(succ(X0))),powerset(X1))
      | element(X0,X1) ),
    inference(resolution,[],[f1905,f528]) ).

fof(f1905,plain,
    ! [X0] :
      ( in(X0,succ(succ(succ(succ(X0)))))
      | ~ ordinal(X0)
      | ~ ordinal(succ(succ(succ(X0)))) ),
    inference(subsumption_resolution,[],[f1898,f180]) ).

fof(f1898,plain,
    ! [X0] :
      ( ~ ordinal(succ(X0))
      | ~ ordinal(succ(succ(succ(X0))))
      | ~ ordinal(X0)
      | in(X0,succ(succ(succ(succ(X0))))) ),
    inference(resolution,[],[f1860,f682]) ).

fof(f2534,plain,
    ! [X2,X0,X1] :
      ( ordinal_subset(X0,X1)
      | ~ ordinal(X1)
      | ~ empty(X0)
      | ~ ordinal(X2)
      | X1 = X2
      | proper_subset(X1,X2) ),
    inference(global_subsumption,[],[f158,f160,f162,f166,f177,f248,f156,f159,f167,f168,f169,f219,f220,f221,f222,f223,f224,f225,f227,f228,f229,f230,f241,f242,f243,f244,f246,f170,f198,f157,f155,f171,f175,f190,f191,f192,f196,f153,f172,f178,f179,f180,f189,f259,f260,f261,f262,f199,f216,f193,f201,f202,f203,f205,f281,f206,f154,f173,f182,f200,f286,f289,f292,f285,f300,f295,f207,f213,f323,f214,f215,f324,f183,f338,f204,f340,f343,f335,f184,f212,f218,f348,f352,f354,f361,f362,f363,f364,f355,f369,f370,f373,f368,f174,f349,f350,f353,f356,f208,f209,f210,f217,f427,f428,f342,f441,f429,f347,f449,f351,f421,f460,f432,f439,f450,f185,f459,f472,f471,f475,f476,f466,f492,f493,f494,f496,f501,f490,f186,f522,f181,f540,f541,f535,f538,f546,f521,f337,f553,f555,f556,f423,f393,f562,f563,f489,f577,f578,f579,f403,f588,f589,f590,f502,f610,f611,f612,f420,f641,f642,f636,f646,f644,f649,f657,f653,f667,f651,f443,f679,f552,f686,f689,f691,f701,f693,f463,f702,f703,f704,f705,f682,f713,f707,f717,f710,f684,f724,f722,f526,f736,f733,f740,f745,f746,f719,f753,f755,f757,f750,f582,f664,f675,f765,f767,f769,f768,f390,f789,f770,f771,f787,f812,f813,f814,f815,f816,f817,f818,f790,f436,f838,f635,f853,f854,f542,f856,f431,f857,f858,f859,f865,f557,f884,f885,f886,f887,f735,f893,f901,f903,f905,f897,f837,f921,f922,f923,f924,f911,f920,f919,f917,f906,f932,f931,f852,f951,f447,f957,f958,f959,f955,f956,f734,f964,f811,f891,f982,f984,f986,f988,f977,f916,f989,f990,f991,f918,f995,f996,f997,f950,f1004,f499,f1009,f1010,f1011,f1012,f500,f1037,f1038,f1039,f1040,f933,f994,f1075,f1077,f1062,f1063,f1064,f1078,f1066,f1079,f1080,f1069,f1070,f1071,f1072,f999,f1099,f1103,f1087,f1088,f1089,f1106,f1107,f1108,f1094,f1095,f1096,f1097,f1101,f1114,f1115,f1105,f1120,f1119,f1002,f1130,f1129,f1007,f1203,f1202,f1137,f1138,f1139,f1199,f1205,f1206,f1145,f1146,f1198,f1196,f1192,f1191,f1162,f1163,f1164,f1188,f1207,f1208,f1170,f1171,f1187,f1185,f645,f1215,f1217,f1212,f1055,f1252,f1250,f1256,f1248,f1257,f1258,f1230,f1259,f1237,f1261,f1262,f1263,f1264,f1243,f1255,f1266,f1270,f1271,f1272,f1268,f1274,f1283,f1276,f1277,f1284,f1278,f1285,f1279,f1253,f1295,f1296,f1293,f1289,f1298,f1308,f1309,f1310,f1303,f1059,f1323,f1324,f1325,f1317,f1318,f1319,f1084,f1338,f1340,f1332,f1333,f1341,f1222,f1366,f1363,f1367,f1368,f1369,f1370,f1371,f1352,f1235,f1373,f1374,f1388,f1390,f1391,f1392,f1393,f1394,f1395,f1379,f1396,f1397,f1381,f1398,f1382,f647,f1408,f1409,f1402,f1404,f1387,f1411,f1422,f1420,f1423,f1424,f1413,f1440,f1438,f1441,f1442,f1443,f1431,f1419,f1444,f444,f1468,f1462,f1461,f1471,f1470,f1489,f1487,f1490,f1491,f1492,f1477,f1483,f1482,f462,f1493,f1494,f1495,f1497,f1498,f1500,f1501,f1499,f1503,f1504,f1505,f1506,f1507,f1508,f1509,f1510,f1511,f468,f1513,f1512,f1514,f741,f1526,f1525,f1527,f1528,f1529,f1521,f699,f1541,f1542,f1543,f1544,f1546,f1548,f1539,f844,f1579,f1578,f1580,f1581,f1582,f1555,f1556,f1583,f1584,f1585,f1560,f1577,f1576,f1575,f1574,f1572,f1569,f1571,f845,f1612,f1613,f1611,f1610,f1609,f1592,f1608,f1607,f1606,f1615,f1616,f1617,f1620,f1604,f1622,f1619,f1623,f1624,f1621,f1628,f1629,f1627,f1659,f1658,f1661,f1662,f1641,f1642,f1643,f1663,f1664,f1646,f1665,f1649,f1650,f1656,f1652,f1654,f1632,f1692,f1691,f1694,f1695,f1674,f1675,f1676,f1696,f1697,f1679,f1698,f1682,f1683,f1689,f1685,f1687,f1637,f1712,f1713,f1714,f1705,f1706,f1707,f1708,f1709,f1670,f1728,f1729,f1730,f1721,f1722,f1723,f1724,f1725,f530,f1734,f1741,f1736,f1737,f1614,f1762,f1743,f1763,f1764,f1766,f1768,f1770,f1771,f1750,f1772,f1774,f1775,f1777,f1754,f1778,f1779,f862,f1780,f1781,f1782,f1785,f1800,f1787,f1788,f1789,f1801,f1802,f1792,f1793,f1803,f1804,f1796,f1798,f495,f1808,f1809,f1810,f715,f1871,f1872,f1869,f1818,f1819,f1823,f1824,f1873,f1825,f1826,f1874,f1875,f1868,f1876,f1867,f1877,f1878,f1879,f1835,f1866,f1880,f1881,f1864,f1840,f1841,f1843,f1845,f1846,f1847,f1848,f1882,f1883,f1863,f1884,f1862,f1885,f1886,f1887,f1857,f1861,f1860,f1890,f1891,f1904,f1901,f1905,f1906,f1893,f1924,f1922,f1925,f1926,f1913,f1914,f1915,f1903,f1951,f1952,f1954,f1958,f1960,f1961,f1962,f1963,f1939,f1964,f1966,f1968,f1942,f1969,f1970,f1928,f1900,f1973,f529,f2007,f2008,f2009,f2010,f2005,f2011,f2004,f2012,f2013,f2003,f2014,f2015,f2016,f2017,f1985,f2018,f2002,f2001,f2019,f2020,f2021,f2022,f2023,f2025,f2026,f2027,f1996,f2028,f2029,f1998,f2030,f2031,f1956,f2062,f2063,f2064,f2065,f2060,f2036,f2037,f2041,f2042,f2066,f2043,f2044,f2067,f2046,f2068,f2059,f2069,f2070,f2071,f2058,f2072,f2073,f2074,f2055,f2057,f1959,f2039,f2101,f2077,f2102,f2099,f2103,f2104,f2105,f2083,f2106,f2107,f2085,f2086,f2087,f2088,f2089,f2108,f2109,f2092,f1975,f2110,f2132,f2131,f2133,f2134,f2135,f2120,f2121,f2125,f528,f2136,f2169,f2170,f2167,f2166,f2171,f2165,f2172,f2173,f2174,f2147,f2175,f2164,f2176,f2163,f2177,f2178,f2179,f2181,f2182,f2183,f2158,f2184,f2160,f2185,f2186,f788,f2187,f2188,f2189,f2190,f2191,f2192,f2193,f2194,f2195,f2196,f1467,f2204,f2203,f2205,f1533,f2223,f2224,f2225,f2226,f2228,f2230,f2232,f2233,f2234,f2235,f2215,f1568,f1573,f1783,f2250,f2251,f2252,f2253,f2254,f1797,f533,f2280,f2279,f2281,f2282,f2283,f2274,f2284,f2267,f2268,f2273,f2272,f580,f581,f2300,f2302,f2304,f1502,f2312,f2313,f2314,f2315,f2316,f2317,f2318,f2319,f2320,f2321,f1625,f2322,f2323,f2324,f2325,f1630,f2326,f2327,f2328,f2329,f1813,f2330,f2331,f2333,f2335,f2337,f2338,f2339,f2340,f2341,f2342,f2343,f2344,f2345,f2346,f2347,f2348,f2349,f2350,f2352,f2351,f2359,f2361,f2362,f2363,f2364,f2365,f2366,f2332,f2369,f2370,f2371,f2372,f2373,f2374,f2375,f2376,f2377,f2358,f2389,f2390,f2391,f2392,f2393,f2394,f2395,f2396,f2397,f461,f2406,f2407,f2408,f2409,f2410,f2411,f2412,f2413,f2414,f2415,f2416,f2417,f2418,f1821,f2444,f2420,f2445,f2442,f2446,f2447,f2448,f2426,f2449,f2428,f2429,f2430,f2431,f2432,f2450,f2451,f2435,f2238,f2465,f2463,f2462,f2466,f2467,f2459,f2240,f2480,f2478,f2481,f2482,f2483,f2475,f1074,f2505,f1076,f2512,f2511,f1098,f2528]) ).

fof(f2528,plain,
    ! [X2,X0,X1] :
      ( ordinal_subset(X0,X1)
      | being_limit_ordinal(X2)
      | ~ ordinal(X1)
      | ~ empty(X0)
      | ~ ordinal(X2)
      | X1 = X2
      | proper_subset(X1,X2) ),
    inference(duplicate_literal_removal,[],[f2519]) ).

fof(f2519,plain,
    ! [X2,X0,X1] :
      ( ordinal_subset(X0,X1)
      | being_limit_ordinal(X2)
      | ~ ordinal(X1)
      | ~ empty(X0)
      | ~ ordinal(X2)
      | ~ ordinal(X2)
      | ~ ordinal(X1)
      | X1 = X2
      | proper_subset(X1,X2) ),
    inference(resolution,[],[f1098,f420]) ).

fof(f1098,plain,
    ! [X2,X0,X1] :
      ( ordinal_subset(X2,X1)
      | ordinal_subset(X1,X0)
      | being_limit_ordinal(X0)
      | ~ ordinal(X1)
      | ~ empty(X2)
      | ~ ordinal(X0) ),
    inference(duplicate_literal_removal,[],[f1083]) ).

fof(f1083,plain,
    ! [X2,X0,X1] :
      ( ~ ordinal(X0)
      | ordinal_subset(X1,X0)
      | being_limit_ordinal(X0)
      | ~ ordinal(X1)
      | ~ ordinal(X1)
      | ~ empty(X2)
      | ordinal_subset(X2,X1) ),
    inference(resolution,[],[f999,f459]) ).

fof(f2511,plain,
    ! [X0] :
      ( ~ ordinal(X0)
      | empty(X0)
      | ~ ordinal(sK4(X0))
      | ~ being_limit_ordinal(sK4(X0))
      | sK4(X0) = X0
      | proper_subset(sK4(X0),X0) ),
    inference(duplicate_literal_removal,[],[f2507]) ).

fof(f2507,plain,
    ! [X0] :
      ( ~ ordinal(X0)
      | empty(X0)
      | ~ ordinal(sK4(X0))
      | ~ being_limit_ordinal(sK4(X0))
      | ~ ordinal(X0)
      | ~ ordinal(sK4(X0))
      | sK4(X0) = X0
      | proper_subset(sK4(X0),X0) ),
    inference(resolution,[],[f1076,f420]) ).

fof(f2512,plain,
    ! [X0,X1] :
      ( ~ ordinal(X0)
      | empty(X0)
      | ~ ordinal(sK4(X0))
      | ~ being_limit_ordinal(sK4(X0))
      | element(X1,X0)
      | ~ in(X1,sK4(X0)) ),
    inference(duplicate_literal_removal,[],[f2506]) ).

fof(f2506,plain,
    ! [X0,X1] :
      ( ~ ordinal(X0)
      | empty(X0)
      | ~ ordinal(sK4(X0))
      | ~ being_limit_ordinal(sK4(X0))
      | element(X1,X0)
      | ~ in(X1,sK4(X0))
      | ~ ordinal(X0)
      | ~ ordinal(sK4(X0)) ),
    inference(resolution,[],[f1076,f436]) ).

fof(f1076,plain,
    ! [X0] :
      ( ordinal_subset(sK4(X0),X0)
      | ~ ordinal(X0)
      | empty(X0)
      | ~ ordinal(sK4(X0))
      | ~ being_limit_ordinal(sK4(X0)) ),
    inference(duplicate_literal_removal,[],[f1056]) ).

fof(f1056,plain,
    ! [X0] :
      ( ~ ordinal(X0)
      | ordinal_subset(sK4(X0),X0)
      | empty(X0)
      | ~ ordinal(sK4(X0))
      | ~ ordinal(sK4(X0))
      | ~ being_limit_ordinal(sK4(X0)) ),
    inference(resolution,[],[f994,f538]) ).

fof(f2505,plain,
    ! [X2,X0,X1] :
      ( ordinal_subset(X0,X1)
      | ~ ordinal(X1)
      | ~ empty(X0)
      | ~ ordinal(X2)
      | X1 = X2
      | proper_subset(X1,X2) ),
    inference(subsumption_resolution,[],[f2499,f675]) ).

fof(f2499,plain,
    ! [X2,X0,X1] :
      ( ordinal_subset(X0,X1)
      | empty(X2)
      | ~ ordinal(X1)
      | ~ empty(X0)
      | ~ ordinal(X2)
      | X1 = X2
      | proper_subset(X1,X2) ),
    inference(duplicate_literal_removal,[],[f2490]) ).

fof(f2490,plain,
    ! [X2,X0,X1] :
      ( ordinal_subset(X0,X1)
      | empty(X2)
      | ~ ordinal(X1)
      | ~ empty(X0)
      | ~ ordinal(X2)
      | ~ ordinal(X2)
      | ~ ordinal(X1)
      | X1 = X2
      | proper_subset(X1,X2) ),
    inference(resolution,[],[f1074,f420]) ).

fof(f1074,plain,
    ! [X2,X0,X1] :
      ( ordinal_subset(X2,X1)
      | ordinal_subset(X1,X0)
      | empty(X0)
      | ~ ordinal(X1)
      | ~ empty(X2)
      | ~ ordinal(X0) ),
    inference(duplicate_literal_removal,[],[f1058]) ).

fof(f1058,plain,
    ! [X2,X0,X1] :
      ( ~ ordinal(X0)
      | ordinal_subset(X1,X0)
      | empty(X0)
      | ~ ordinal(X1)
      | ~ ordinal(X1)
      | ~ empty(X2)
      | ordinal_subset(X2,X1) ),
    inference(resolution,[],[f994,f459]) ).

fof(f2483,plain,
    ! [X2,X0,X1] :
      ( ~ ordinal(X0)
      | in(X0,X1)
      | being_limit_ordinal(X1)
      | ~ ordinal(X1)
      | element(sK3(X1),X2)
      | ~ ordinal(X2)
      | ordinal_subset(X2,succ(X0)) ),
    inference(subsumption_resolution,[],[f2473,f180]) ).

fof(f2473,plain,
    ! [X2,X0,X1] :
      ( ~ ordinal(X0)
      | in(X0,X1)
      | being_limit_ordinal(X1)
      | ~ ordinal(X1)
      | element(sK3(X1),X2)
      | ~ ordinal(X2)
      | ~ ordinal(succ(X0))
      | ordinal_subset(X2,succ(X0)) ),
    inference(resolution,[],[f2240,f837]) ).

fof(f2482,plain,
    ! [X2,X0,X1] :
      ( ~ ordinal(X0)
      | in(X0,X1)
      | being_limit_ordinal(X1)
      | ~ ordinal(X1)
      | element(sK3(X1),succ(X2))
      | ~ ordinal(X2)
      | in(X2,succ(X0)) ),
    inference(subsumption_resolution,[],[f2472,f180]) ).

fof(f2472,plain,
    ! [X2,X0,X1] :
      ( ~ ordinal(X0)
      | in(X0,X1)
      | being_limit_ordinal(X1)
      | ~ ordinal(X1)
      | element(sK3(X1),succ(X2))
      | ~ ordinal(succ(X0))
      | ~ ordinal(X2)
      | in(X2,succ(X0)) ),
    inference(resolution,[],[f2240,f844]) ).

fof(f2481,plain,
    ! [X0,X1] :
      ( ~ ordinal(X0)
      | in(X0,X1)
      | being_limit_ordinal(X1)
      | ~ ordinal(X1)
      | ~ being_limit_ordinal(sK3(X1))
      | ~ in(X0,sK3(X1)) ),
    inference(subsumption_resolution,[],[f2477,f182]) ).

fof(f2477,plain,
    ! [X0,X1] :
      ( ~ ordinal(X0)
      | in(X0,X1)
      | being_limit_ordinal(X1)
      | ~ ordinal(X1)
      | ~ being_limit_ordinal(sK3(X1))
      | ~ ordinal(sK3(X1))
      | ~ in(X0,sK3(X1)) ),
    inference(duplicate_literal_removal,[],[f2471]) ).

fof(f2471,plain,
    ! [X0,X1] :
      ( ~ ordinal(X0)
      | in(X0,X1)
      | being_limit_ordinal(X1)
      | ~ ordinal(X1)
      | ~ ordinal(X0)
      | ~ being_limit_ordinal(sK3(X1))
      | ~ ordinal(sK3(X1))
      | ~ in(X0,sK3(X1)) ),
    inference(resolution,[],[f2240,f526]) ).

fof(f2478,plain,
    ! [X2,X0,X1] :
      ( ~ ordinal(X0)
      | in(X0,X1)
      | being_limit_ordinal(X1)
      | ~ ordinal(X1)
      | element(sK3(X1),X2)
      | ~ ordinal(X2)
      | ~ in(X0,X2) ),
    inference(duplicate_literal_removal,[],[f2470]) ).

fof(f2470,plain,
    ! [X2,X0,X1] :
      ( ~ ordinal(X0)
      | in(X0,X1)
      | being_limit_ordinal(X1)
      | ~ ordinal(X1)
      | element(sK3(X1),X2)
      | ~ ordinal(X2)
      | ~ in(X0,X2)
      | ~ ordinal(X0) ),
    inference(resolution,[],[f2240,f845]) ).

fof(f2480,plain,
    ! [X2,X0,X1] :
      ( ~ ordinal(X0)
      | in(X0,X1)
      | being_limit_ordinal(X1)
      | ~ ordinal(X1)
      | ~ being_limit_ordinal(powerset(X2))
      | ~ ordinal(powerset(X2))
      | ~ in(X0,powerset(X2))
      | element(sK3(X1),X2) ),
    inference(duplicate_literal_removal,[],[f2468]) ).

fof(f2468,plain,
    ! [X2,X0,X1] :
      ( ~ ordinal(X0)
      | in(X0,X1)
      | being_limit_ordinal(X1)
      | ~ ordinal(X1)
      | ~ ordinal(X0)
      | ~ being_limit_ordinal(powerset(X2))
      | ~ ordinal(powerset(X2))
      | ~ in(X0,powerset(X2))
      | element(sK3(X1),X2) ),
    inference(resolution,[],[f2240,f528]) ).

fof(f2240,plain,
    ! [X0,X1] :
      ( in(sK3(X0),succ(X1))
      | ~ ordinal(X1)
      | in(X1,X0)
      | being_limit_ordinal(X0)
      | ~ ordinal(X0) ),
    inference(subsumption_resolution,[],[f2239,f170]) ).

fof(f2239,plain,
    ! [X0,X1] :
      ( ~ ordinal(X0)
      | ~ ordinal(X1)
      | in(X1,X0)
      | being_limit_ordinal(X0)
      | empty(succ(X1))
      | in(sK3(X0),succ(X1)) ),
    inference(resolution,[],[f1573,f204]) ).

fof(f2467,plain,
    ! [X2,X0,X1] :
      ( ~ ordinal(X0)
      | in(X0,X1)
      | empty(X1)
      | ~ ordinal(X1)
      | element(sK4(X1),X2)
      | ~ ordinal(X2)
      | ordinal_subset(X2,succ(X0)) ),
    inference(subsumption_resolution,[],[f2457,f180]) ).

fof(f2457,plain,
    ! [X2,X0,X1] :
      ( ~ ordinal(X0)
      | in(X0,X1)
      | empty(X1)
      | ~ ordinal(X1)
      | element(sK4(X1),X2)
      | ~ ordinal(X2)
      | ~ ordinal(succ(X0))
      | ordinal_subset(X2,succ(X0)) ),
    inference(resolution,[],[f2238,f837]) ).

fof(f2466,plain,
    ! [X2,X0,X1] :
      ( ~ ordinal(X0)
      | in(X0,X1)
      | empty(X1)
      | ~ ordinal(X1)
      | element(sK4(X1),succ(X2))
      | ~ ordinal(X2)
      | in(X2,succ(X0)) ),
    inference(subsumption_resolution,[],[f2456,f180]) ).

fof(f2456,plain,
    ! [X2,X0,X1] :
      ( ~ ordinal(X0)
      | in(X0,X1)
      | empty(X1)
      | ~ ordinal(X1)
      | element(sK4(X1),succ(X2))
      | ~ ordinal(succ(X0))
      | ~ ordinal(X2)
      | in(X2,succ(X0)) ),
    inference(resolution,[],[f2238,f844]) ).

fof(f2462,plain,
    ! [X0,X1] :
      ( ~ ordinal(X0)
      | in(X0,X1)
      | empty(X1)
      | ~ ordinal(X1)
      | ~ being_limit_ordinal(sK4(X1))
      | ~ ordinal(sK4(X1))
      | ~ in(X0,sK4(X1)) ),
    inference(duplicate_literal_removal,[],[f2455]) ).

fof(f2455,plain,
    ! [X0,X1] :
      ( ~ ordinal(X0)
      | in(X0,X1)
      | empty(X1)
      | ~ ordinal(X1)
      | ~ ordinal(X0)
      | ~ being_limit_ordinal(sK4(X1))
      | ~ ordinal(sK4(X1))
      | ~ in(X0,sK4(X1)) ),
    inference(resolution,[],[f2238,f526]) ).

fof(f2463,plain,
    ! [X2,X0,X1] :
      ( ~ ordinal(X0)
      | in(X0,X1)
      | empty(X1)
      | ~ ordinal(X1)
      | element(sK4(X1),X2)
      | ~ ordinal(X2)
      | ~ in(X0,X2) ),
    inference(duplicate_literal_removal,[],[f2454]) ).

fof(f2454,plain,
    ! [X2,X0,X1] :
      ( ~ ordinal(X0)
      | in(X0,X1)
      | empty(X1)
      | ~ ordinal(X1)
      | element(sK4(X1),X2)
      | ~ ordinal(X2)
      | ~ in(X0,X2)
      | ~ ordinal(X0) ),
    inference(resolution,[],[f2238,f845]) ).

fof(f2465,plain,
    ! [X2,X0,X1] :
      ( ~ ordinal(X0)
      | in(X0,X1)
      | empty(X1)
      | ~ ordinal(X1)
      | ~ being_limit_ordinal(powerset(X2))
      | ~ ordinal(powerset(X2))
      | ~ in(X0,powerset(X2))
      | element(sK4(X1),X2) ),
    inference(duplicate_literal_removal,[],[f2452]) ).

fof(f2452,plain,
    ! [X2,X0,X1] :
      ( ~ ordinal(X0)
      | in(X0,X1)
      | empty(X1)
      | ~ ordinal(X1)
      | ~ ordinal(X0)
      | ~ being_limit_ordinal(powerset(X2))
      | ~ ordinal(powerset(X2))
      | ~ in(X0,powerset(X2))
      | element(sK4(X1),X2) ),
    inference(resolution,[],[f2238,f528]) ).

fof(f2238,plain,
    ! [X0,X1] :
      ( in(sK4(X0),succ(X1))
      | ~ ordinal(X1)
      | in(X1,X0)
      | empty(X0)
      | ~ ordinal(X0) ),
    inference(subsumption_resolution,[],[f2236,f170]) ).

fof(f2236,plain,
    ! [X0,X1] :
      ( ~ ordinal(X0)
      | ~ ordinal(X1)
      | in(X1,X0)
      | empty(X0)
      | empty(succ(X1))
      | in(sK4(X0),succ(X1)) ),
    inference(resolution,[],[f1568,f204]) ).

fof(f2435,plain,
    ! [X0,X1] :
      ( ~ ordinal(powerset(X0))
      | ~ ordinal(X1)
      | in(X1,succ(succ(powerset(X0))))
      | empty(powerset(X0))
      | ~ subset(succ(succ(X1)),X0) ),
    inference(resolution,[],[f1821,f342]) ).

fof(f2451,plain,
    ! [X0] :
      ( ~ ordinal(X0)
      | in(X0,succ(succ(succ(succ(sK3(succ(succ(succ(X0)))))))))
      | ~ ordinal(succ(sK3(succ(succ(succ(X0))))))
      | ~ ordinal(succ(succ(X0))) ),
    inference(subsumption_resolution,[],[f2434,f180]) ).

fof(f2434,plain,
    ! [X0] :
      ( ~ ordinal(succ(succ(sK3(succ(succ(succ(X0)))))))
      | ~ ordinal(X0)
      | in(X0,succ(succ(succ(succ(sK3(succ(succ(succ(X0)))))))))
      | ~ ordinal(succ(sK3(succ(succ(succ(X0))))))
      | ~ ordinal(succ(succ(X0))) ),
    inference(resolution,[],[f1821,f699]) ).

fof(f2450,plain,
    ! [X0] :
      ( ~ ordinal(X0)
      | in(X0,succ(succ(succ(succ(succ(succ(succ(X0))))))))
      | ~ ordinal(succ(succ(succ(succ(X0)))))
      | ~ ordinal(succ(succ(X0))) ),
    inference(subsumption_resolution,[],[f2433,f180]) ).

fof(f2433,plain,
    ! [X0] :
      ( ~ ordinal(succ(succ(succ(succ(succ(X0))))))
      | ~ ordinal(X0)
      | in(X0,succ(succ(succ(succ(succ(succ(succ(X0))))))))
      | ~ ordinal(succ(succ(succ(succ(X0)))))
      | ~ ordinal(succ(succ(X0))) ),
    inference(resolution,[],[f1821,f684]) ).

fof(f2432,plain,
    ! [X0] :
      ( ~ ordinal(succ(succ(succ(succ(succ(X0))))))
      | ~ ordinal(X0)
      | in(X0,succ(succ(succ(succ(succ(succ(succ(X0))))))))
      | ~ ordinal(succ(succ(succ(X0)))) ),
    inference(resolution,[],[f1821,f1255]) ).

fof(f2431,plain,
    ! [X0] :
      ( ~ ordinal(succ(succ(succ(succ(succ(X0))))))
      | ~ ordinal(X0)
      | in(X0,succ(succ(succ(succ(succ(succ(succ(X0))))))))
      | ~ ordinal(succ(succ(X0))) ),
    inference(resolution,[],[f1821,f1387]) ).

fof(f2430,plain,
    ! [X0,X1] :
      ( ~ ordinal(succ(succ(X0)))
      | ~ ordinal(X1)
      | in(X1,succ(succ(succ(succ(X0)))))
      | in(X0,succ(succ(succ(succ(X1)))))
      | ~ ordinal(succ(succ(X1)))
      | ~ ordinal(X0) ),
    inference(resolution,[],[f1821,f715]) ).

fof(f2429,plain,
    ! [X0,X1] :
      ( ~ ordinal(succ(succ(X0)))
      | ~ ordinal(X1)
      | in(X1,succ(succ(succ(succ(X0)))))
      | in(X0,succ(succ(succ(succ(X1)))))
      | ~ ordinal(X0)
      | ~ ordinal(succ(succ(X1))) ),
    inference(resolution,[],[f1821,f715]) ).

fof(f2428,plain,
    ! [X0,X1] :
      ( ~ ordinal(succ(succ(X0)))
      | ~ ordinal(X1)
      | in(X1,succ(succ(succ(succ(X0)))))
      | ~ ordinal(X0)
      | element(X0,succ(succ(succ(X1))))
      | ~ ordinal(succ(succ(X1))) ),
    inference(resolution,[],[f1821,f1956]) ).

fof(f2449,plain,
    ! [X0] :
      ( ~ ordinal(X0)
      | in(X0,succ(succ(succ(succ(succ(succ(X0)))))))
      | ~ ordinal(succ(succ(succ(X0))))
      | ~ being_limit_ordinal(succ(succ(succ(X0)))) ),
    inference(subsumption_resolution,[],[f2427,f180]) ).

fof(f2427,plain,
    ! [X0] :
      ( ~ ordinal(succ(succ(succ(succ(X0)))))
      | ~ ordinal(X0)
      | in(X0,succ(succ(succ(succ(succ(succ(X0)))))))
      | ~ ordinal(succ(succ(succ(X0))))
      | ~ being_limit_ordinal(succ(succ(succ(X0)))) ),
    inference(resolution,[],[f1821,f1253]) ).

fof(f2426,plain,
    ! [X0] :
      ( ~ ordinal(succ(succ(succ(succ(X0)))))
      | ~ ordinal(X0)
      | in(X0,succ(succ(succ(succ(succ(succ(X0)))))))
      | ~ ordinal(succ(succ(X0))) ),
    inference(resolution,[],[f1821,f1860]) ).

fof(f2448,plain,
    ! [X0,X1] :
      ( ~ ordinal(X1)
      | in(X1,succ(succ(succ(X0))))
      | in(X0,succ(succ(succ(X1))))
      | ~ ordinal(succ(succ(X1)))
      | ~ ordinal(X0) ),
    inference(subsumption_resolution,[],[f2425,f180]) ).

fof(f2425,plain,
    ! [X0,X1] :
      ( ~ ordinal(succ(X0))
      | ~ ordinal(X1)
      | in(X1,succ(succ(succ(X0))))
      | in(X0,succ(succ(succ(X1))))
      | ~ ordinal(succ(succ(X1)))
      | ~ ordinal(X0) ),
    inference(resolution,[],[f1821,f552]) ).

fof(f2447,plain,
    ! [X0,X1] :
      ( ~ ordinal(X1)
      | in(X1,succ(succ(succ(X0))))
      | in(X0,succ(succ(succ(X1))))
      | ~ ordinal(X0)
      | ~ ordinal(succ(succ(X1))) ),
    inference(subsumption_resolution,[],[f2424,f180]) ).

fof(f2424,plain,
    ! [X0,X1] :
      ( ~ ordinal(succ(X0))
      | ~ ordinal(X1)
      | in(X1,succ(succ(succ(X0))))
      | in(X0,succ(succ(succ(X1))))
      | ~ ordinal(X0)
      | ~ ordinal(succ(succ(X1))) ),
    inference(resolution,[],[f1821,f552]) ).

fof(f2446,plain,
    ! [X0,X1] :
      ( ~ ordinal(X1)
      | in(X1,succ(succ(succ(X0))))
      | ~ being_limit_ordinal(X0)
      | ~ ordinal(X0)
      | ~ in(succ(succ(X1)),X0)
      | ~ ordinal(succ(succ(X1))) ),
    inference(subsumption_resolution,[],[f2423,f180]) ).

fof(f2423,plain,
    ! [X0,X1] :
      ( ~ ordinal(succ(X0))
      | ~ ordinal(X1)
      | in(X1,succ(succ(succ(X0))))
      | ~ being_limit_ordinal(X0)
      | ~ ordinal(X0)
      | ~ in(succ(succ(X1)),X0)
      | ~ ordinal(succ(succ(X1))) ),
    inference(resolution,[],[f1821,f735]) ).

fof(f2442,plain,
    ! [X0,X1] :
      ( ~ ordinal(succ(X0))
      | ~ ordinal(X1)
      | in(X1,succ(succ(succ(X0))))
      | in(X0,succ(succ(succ(X1))))
      | ~ ordinal(succ(succ(X1))) ),
    inference(duplicate_literal_removal,[],[f2422]) ).

fof(f2422,plain,
    ! [X0,X1] :
      ( ~ ordinal(succ(X0))
      | ~ ordinal(X1)
      | in(X1,succ(succ(succ(X0))))
      | in(X0,succ(succ(succ(X1))))
      | ~ ordinal(succ(succ(X1)))
      | ~ ordinal(succ(X0)) ),
    inference(resolution,[],[f1821,f1055]) ).

fof(f2445,plain,
    ! [X0,X1] :
      ( ~ ordinal(X1)
      | in(X1,succ(succ(succ(X0))))
      | in(X0,succ(succ(succ(X1))))
      | ~ ordinal(X0)
      | ~ ordinal(succ(succ(succ(X1)))) ),
    inference(subsumption_resolution,[],[f2421,f180]) ).

fof(f2421,plain,
    ! [X0,X1] :
      ( ~ ordinal(succ(X0))
      | ~ ordinal(X1)
      | in(X1,succ(succ(succ(X0))))
      | in(X0,succ(succ(succ(X1))))
      | ~ ordinal(X0)
      | ~ ordinal(succ(succ(succ(X1)))) ),
    inference(resolution,[],[f1821,f1055]) ).

fof(f2420,plain,
    ! [X0] :
      ( ~ ordinal(succ(succ(succ(X0))))
      | ~ ordinal(X0)
      | in(X0,succ(succ(succ(succ(succ(X0)))))) ),
    inference(resolution,[],[f1821,f171]) ).

fof(f2444,plain,
    ! [X0,X1] :
      ( ~ ordinal(X0)
      | ~ ordinal(X1)
      | in(X1,succ(succ(X0)))
      | ~ in(succ(X1),X0)
      | ~ being_limit_ordinal(X0) ),
    inference(subsumption_resolution,[],[f2443,f180]) ).

fof(f2443,plain,
    ! [X0,X1] :
      ( ~ ordinal(X0)
      | ~ ordinal(X1)
      | in(X1,succ(succ(X0)))
      | ~ in(succ(X1),X0)
      | ~ ordinal(succ(X1))
      | ~ being_limit_ordinal(X0) ),
    inference(duplicate_literal_removal,[],[f2419]) ).

fof(f2419,plain,
    ! [X0,X1] :
      ( ~ ordinal(X0)
      | ~ ordinal(X1)
      | in(X1,succ(succ(X0)))
      | ~ in(succ(X1),X0)
      | ~ ordinal(succ(X1))
      | ~ being_limit_ordinal(X0)
      | ~ ordinal(X0) ),
    inference(resolution,[],[f1821,f181]) ).

fof(f1821,plain,
    ! [X0,X1] :
      ( ~ in(succ(succ(X0)),X1)
      | ~ ordinal(X1)
      | ~ ordinal(X0)
      | in(X0,succ(succ(X1))) ),
    inference(resolution,[],[f715,f205]) ).

fof(f2418,plain,
    ! [X0,X1] :
      ( element(sK4(succ(X0)),X1)
      | empty(sK4(powerset(powerset(X1))))
      | ~ in(X0,sK4(sK4(powerset(powerset(X1)))))
      | ~ ordinal(X0)
      | ~ ordinal(sK4(sK4(powerset(powerset(X1))))) ),
    inference(resolution,[],[f461,f1632]) ).

fof(f2417,plain,
    ! [X0,X1] :
      ( element(sK4(X0),X1)
      | empty(sK4(powerset(powerset(X1))))
      | ~ ordinal(X0)
      | ordinal_subset(sK4(sK4(powerset(powerset(X1)))),X0)
      | empty(X0)
      | ~ ordinal(sK4(sK4(powerset(powerset(X1))))) ),
    inference(resolution,[],[f461,f994]) ).

fof(f2416,plain,
    ! [X0] :
      ( element(sK4(sK4(powerset(sK4(powerset(sK4(sK4(powerset(powerset(X0))))))))),X0)
      | empty(sK4(powerset(powerset(X0))))
      | empty(sK4(powerset(sK4(powerset(sK4(sK4(powerset(powerset(X0))))))))) ),
    inference(resolution,[],[f461,f1813]) ).

fof(f2415,plain,
    ! [X0] :
      ( element(sK4(sK4(powerset(sK4(sK4(powerset(powerset(X0))))))),X0)
      | empty(sK4(powerset(powerset(X0))))
      | empty(sK4(powerset(sK4(sK4(powerset(powerset(X0))))))) ),
    inference(resolution,[],[f461,f466]) ).

fof(f2414,plain,
    ! [X0] :
      ( element(sK4(sK4(sK4(powerset(powerset(X0))))),X0)
      | empty(sK4(powerset(powerset(X0))))
      | empty(sK4(sK4(powerset(powerset(X0))))) ),
    inference(resolution,[],[f461,f340]) ).

fof(f2413,plain,
    ! [X0] :
      ( element(sK3(sK4(powerset(sK4(sK4(powerset(powerset(X0))))))),X0)
      | empty(sK4(powerset(powerset(X0))))
      | ~ ordinal(sK4(powerset(sK4(sK4(powerset(powerset(X0)))))))
      | being_limit_ordinal(sK4(powerset(sK4(sK4(powerset(powerset(X0))))))) ),
    inference(resolution,[],[f461,f862]) ).

fof(f2412,plain,
    ! [X0,X1] :
      ( element(sK3(succ(X0)),X1)
      | empty(sK4(powerset(powerset(X1))))
      | ~ in(X0,sK4(sK4(powerset(powerset(X1)))))
      | ~ ordinal(X0)
      | ~ ordinal(sK4(sK4(powerset(powerset(X1))))) ),
    inference(resolution,[],[f461,f1627]) ).

fof(f2411,plain,
    ! [X0,X1] :
      ( element(sK3(X0),X1)
      | empty(sK4(powerset(powerset(X1))))
      | ~ ordinal(X0)
      | ordinal_subset(sK4(sK4(powerset(powerset(X1)))),X0)
      | being_limit_ordinal(X0)
      | ~ ordinal(sK4(sK4(powerset(powerset(X1))))) ),
    inference(resolution,[],[f461,f999]) ).

fof(f2410,plain,
    ! [X0] :
      ( element(sK3(sK4(sK4(powerset(powerset(X0))))),X0)
      | empty(sK4(powerset(powerset(X0))))
      | being_limit_ordinal(sK4(sK4(powerset(powerset(X0)))))
      | ~ ordinal(sK4(sK4(powerset(powerset(X0))))) ),
    inference(resolution,[],[f461,f183]) ).

fof(f2409,plain,
    ! [X0,X1] :
      ( element(succ(X0),X1)
      | empty(sK4(powerset(powerset(X1))))
      | ~ in(X0,sK4(sK4(powerset(powerset(X1)))))
      | ~ ordinal(X0)
      | ~ being_limit_ordinal(sK4(sK4(powerset(powerset(X1)))))
      | ~ ordinal(sK4(sK4(powerset(powerset(X1))))) ),
    inference(resolution,[],[f461,f181]) ).

fof(f2408,plain,
    ! [X0,X1] :
      ( element(X0,X1)
      | empty(sK4(powerset(powerset(X1))))
      | ~ ordinal(sK4(sK4(powerset(powerset(X1)))))
      | ~ empty(X0)
      | sK4(sK4(powerset(powerset(X1)))) = X0 ),
    inference(resolution,[],[f461,f653]) ).

fof(f2407,plain,
    ! [X0,X1] :
      ( element(X0,X1)
      | empty(sK4(powerset(powerset(X1))))
      | in(sK4(sK4(powerset(powerset(X1)))),X0)
      | ~ ordinal(sK4(sK4(powerset(powerset(X1)))))
      | ~ ordinal(X0)
      | sK4(sK4(powerset(powerset(X1)))) = X0 ),
    inference(resolution,[],[f461,f1007]) ).

fof(f2406,plain,
    ! [X0,X1] :
      ( element(X0,X1)
      | empty(sK4(powerset(powerset(X1))))
      | in(sK4(sK4(powerset(powerset(X1)))),X0)
      | ~ ordinal(X0)
      | ~ ordinal(sK4(sK4(powerset(powerset(X1)))))
      | sK4(sK4(powerset(powerset(X1)))) = X0 ),
    inference(resolution,[],[f461,f1007]) ).

fof(f461,plain,
    ! [X0,X1] :
      ( ~ in(X1,sK4(sK4(powerset(powerset(X0)))))
      | element(X1,X0)
      | empty(sK4(powerset(powerset(X0)))) ),
    inference(resolution,[],[f432,f217]) ).

fof(f2397,plain,
    ! [X0,X1] :
      ( sK4(powerset(sK4(powerset(sK4(powerset(X0)))))) = sK4(sK4(powerset(powerset(X1))))
      | ~ empty(X0)
      | empty(sK4(powerset(powerset(X1))))
      | ~ empty(X1) ),
    inference(resolution,[],[f2358,f1499]) ).

fof(f2396,plain,
    ! [X0,X1] :
      ( sK4(powerset(sK4(powerset(sK4(powerset(X0)))))) = sK4(powerset(sK4(powerset(sK4(powerset(X1))))))
      | ~ empty(X0)
      | ~ empty(X1) ),
    inference(resolution,[],[f2358,f2351]) ).

fof(f2395,plain,
    ! [X0,X1] :
      ( sK4(powerset(sK4(powerset(sK4(powerset(X0)))))) = sK4(powerset(sK4(powerset(X1))))
      | ~ empty(X0)
      | ~ empty(X1) ),
    inference(resolution,[],[f2358,f496]) ).

fof(f2394,plain,
    ! [X2,X0,X1] :
      ( sK4(powerset(sK4(powerset(sK4(powerset(X0)))))) = sK4(powerset(sK4(powerset(X1))))
      | ~ empty(X0)
      | ordinal_subset(X2,X1)
      | ~ empty(X2)
      | ~ ordinal(X1) ),
    inference(resolution,[],[f2358,f2332]) ).

fof(f2393,plain,
    ! [X0,X1] :
      ( sK4(powerset(sK4(powerset(sK4(powerset(X0)))))) = sK4(powerset(sK3(powerset(X1))))
      | ~ empty(X0)
      | being_limit_ordinal(powerset(X1))
      | ~ ordinal(powerset(X1))
      | ~ empty(X1) ),
    inference(resolution,[],[f2358,f788]) ).

fof(f2392,plain,
    ! [X0,X1] :
      ( sK4(powerset(sK4(powerset(sK4(powerset(X0)))))) = sK4(powerset(powerset(X1)))
      | ~ empty(X0)
      | ~ empty(X1)
      | empty_set = sK4(sK4(powerset(powerset(X1)))) ),
    inference(resolution,[],[f2358,f1502]) ).

fof(f2391,plain,
    ! [X0,X1] :
      ( sK4(powerset(X1)) = sK4(powerset(sK4(powerset(sK4(powerset(X0))))))
      | ~ empty(X0)
      | ~ empty(X1) ),
    inference(resolution,[],[f2358,f352]) ).

fof(f2390,plain,
    ! [X2,X0,X1] :
      ( sK4(powerset(X1)) = sK4(powerset(sK4(powerset(sK4(powerset(X0))))))
      | ~ empty(X0)
      | ordinal_subset(X2,X1)
      | ~ empty(X2)
      | ~ ordinal(X1) ),
    inference(resolution,[],[f2358,f489]) ).

fof(f2389,plain,
    ! [X0,X1] :
      ( sK3(powerset(X1)) = sK4(powerset(sK4(powerset(sK4(powerset(X0))))))
      | ~ empty(X0)
      | being_limit_ordinal(powerset(X1))
      | ~ ordinal(powerset(X1))
      | ~ empty(X1) ),
    inference(resolution,[],[f2358,f787]) ).

fof(f2358,plain,
    ! [X0,X1] :
      ( ~ empty(X1)
      | sK4(powerset(sK4(powerset(sK4(powerset(X0)))))) = X1
      | ~ empty(X0) ),
    inference(resolution,[],[f2351,f215]) ).

fof(f2377,plain,
    ! [X2,X0,X1] :
      ( ordinal_subset(X0,X1)
      | ~ empty(X0)
      | ~ ordinal(X1)
      | sK4(powerset(sK4(powerset(X1)))) = sK4(powerset(sK4(powerset(X2))))
      | ~ empty(X2) ),
    inference(resolution,[],[f2332,f502]) ).

fof(f2376,plain,
    ! [X2,X0,X1] :
      ( ordinal_subset(X0,X1)
      | ~ empty(X0)
      | ~ ordinal(X1)
      | sK4(powerset(sK4(powerset(sK4(powerset(X1)))))) = sK4(powerset(sK4(powerset(X2))))
      | ~ empty(X2) ),
    inference(resolution,[],[f2332,f500]) ).

fof(f2375,plain,
    ! [X0,X1] :
      ( ordinal_subset(X0,X1)
      | ~ empty(X0)
      | ~ ordinal(X1)
      | empty_set = sK4(powerset(sK4(powerset(sK4(powerset(sK4(powerset(sK4(powerset(sK4(powerset(X1)))))))))))) ),
    inference(resolution,[],[f2332,f499]) ).

fof(f2374,plain,
    ! [X0,X1] :
      ( ordinal_subset(X0,X1)
      | ~ empty(X0)
      | ~ ordinal(X1)
      | empty_set = sK4(powerset(sK4(powerset(sK4(powerset(sK4(powerset(sK4(powerset(X1)))))))))) ),
    inference(resolution,[],[f2332,f403]) ).

fof(f2373,plain,
    ! [X2,X0,X1] :
      ( ordinal_subset(X0,X1)
      | ~ empty(X0)
      | ~ ordinal(X1)
      | ~ empty(X2)
      | sK4(powerset(sK4(powerset(sK4(powerset(X1)))))) = sK4(powerset(X2)) ),
    inference(resolution,[],[f2332,f393]) ).

fof(f2372,plain,
    ! [X0,X1] :
      ( ordinal_subset(X0,X1)
      | ~ empty(X0)
      | ~ ordinal(X1)
      | empty_set = sK4(powerset(sK4(powerset(sK4(powerset(sK4(powerset(X1)))))))) ),
    inference(resolution,[],[f2332,f356]) ).

fof(f2371,plain,
    ! [X0,X1] :
      ( ordinal_subset(X0,X1)
      | ~ empty(X0)
      | ~ ordinal(X1)
      | empty_set = sK4(powerset(sK4(powerset(sK4(powerset(X1)))))) ),
    inference(resolution,[],[f2332,f354]) ).

fof(f2370,plain,
    ! [X2,X0,X1] :
      ( ordinal_subset(X0,X1)
      | ~ empty(X0)
      | ~ ordinal(X1)
      | sK4(powerset(sK4(powerset(X1)))) = sK4(powerset(X2))
      | ~ empty(X2) ),
    inference(resolution,[],[f2332,f353]) ).

fof(f2369,plain,
    ! [X2,X0,X1] :
      ( ordinal_subset(X0,X1)
      | ~ empty(X0)
      | ~ ordinal(X1)
      | sK4(powerset(sK4(powerset(X1)))) = X2
      | ~ empty(X2) ),
    inference(resolution,[],[f2332,f215]) ).

fof(f2332,plain,
    ! [X0,X1] :
      ( empty(sK4(powerset(sK4(powerset(X0)))))
      | ordinal_subset(X1,X0)
      | ~ empty(X1)
      | ~ ordinal(X0) ),
    inference(resolution,[],[f1813,f459]) ).

fof(f2366,plain,
    ! [X0,X1] :
      ( ~ empty(X0)
      | sK4(powerset(sK4(powerset(sK4(powerset(X0)))))) = sK4(powerset(sK4(powerset(X1))))
      | ~ empty(X1) ),
    inference(resolution,[],[f2351,f502]) ).

fof(f2365,plain,
    ! [X0,X1] :
      ( ~ empty(X0)
      | sK4(powerset(sK4(powerset(sK4(powerset(sK4(powerset(X0)))))))) = sK4(powerset(sK4(powerset(X1))))
      | ~ empty(X1) ),
    inference(resolution,[],[f2351,f500]) ).

fof(f2364,plain,
    ! [X0] :
      ( ~ empty(X0)
      | empty_set = sK4(powerset(sK4(powerset(sK4(powerset(sK4(powerset(sK4(powerset(sK4(powerset(sK4(powerset(X0)))))))))))))) ),
    inference(resolution,[],[f2351,f499]) ).

fof(f2363,plain,
    ! [X0] :
      ( ~ empty(X0)
      | empty_set = sK4(powerset(sK4(powerset(sK4(powerset(sK4(powerset(sK4(powerset(sK4(powerset(X0)))))))))))) ),
    inference(resolution,[],[f2351,f403]) ).

fof(f2362,plain,
    ! [X0,X1] :
      ( ~ empty(X0)
      | ~ empty(X1)
      | sK4(powerset(X1)) = sK4(powerset(sK4(powerset(sK4(powerset(sK4(powerset(X0)))))))) ),
    inference(resolution,[],[f2351,f393]) ).

fof(f2361,plain,
    ! [X0] :
      ( ~ empty(X0)
      | empty_set = sK4(powerset(sK4(powerset(sK4(powerset(sK4(powerset(sK4(powerset(X0)))))))))) ),
    inference(resolution,[],[f2351,f356]) ).

fof(f2359,plain,
    ! [X0,X1] :
      ( ~ empty(X0)
      | sK4(powerset(X1)) = sK4(powerset(sK4(powerset(sK4(powerset(X0))))))
      | ~ empty(X1) ),
    inference(resolution,[],[f2351,f353]) ).

fof(f2351,plain,
    ! [X0] :
      ( empty(sK4(powerset(sK4(powerset(sK4(powerset(X0)))))))
      | ~ empty(X0) ),
    inference(resolution,[],[f1813,f348]) ).

fof(f2352,plain,
    ! [X0] :
      ( empty(sK4(powerset(sK4(powerset(sK4(sK4(powerset(powerset(X0)))))))))
      | ~ empty(X0)
      | empty(sK4(powerset(powerset(X0)))) ),
    inference(resolution,[],[f1813,f462]) ).

fof(f2350,plain,
    ! [X0] :
      ( empty(sK4(powerset(sK4(powerset(sK4(powerset(X0)))))))
      | element(sK4(sK4(powerset(sK4(powerset(sK4(powerset(X0))))))),X0) ),
    inference(resolution,[],[f1813,f427]) ).

fof(f2349,plain,
    ! [X0] :
      ( empty(sK4(powerset(sK4(powerset(sK4(powerset(X0)))))))
      | ~ ordinal(sK4(sK4(powerset(sK4(powerset(sK4(powerset(X0))))))))
      | ~ being_limit_ordinal(sK4(powerset(X0)))
      | ~ ordinal(sK4(powerset(X0)))
      | element(succ(sK4(sK4(powerset(sK4(powerset(sK4(powerset(X0)))))))),X0) ),
    inference(resolution,[],[f1813,f533]) ).

fof(f2348,plain,
    ! [X0] :
      ( empty(sK4(powerset(sK4(powerset(sK4(succ(X0)))))))
      | ~ ordinal(X0)
      | ~ ordinal(sK4(sK4(powerset(sK4(powerset(sK4(succ(X0))))))))
      | ~ in(X0,sK4(sK4(powerset(sK4(powerset(sK4(succ(X0)))))))) ),
    inference(resolution,[],[f1813,f1670]) ).

fof(f2347,plain,
    ! [X0] :
      ( empty(sK4(powerset(sK4(powerset(sK4(X0))))))
      | ordinal_subset(sK4(sK4(powerset(sK4(powerset(sK4(X0)))))),X0)
      | empty(X0)
      | ~ ordinal(sK4(sK4(powerset(sK4(powerset(sK4(X0)))))))
      | ~ ordinal(X0) ),
    inference(resolution,[],[f1813,f1059]) ).

fof(f2346,plain,
    ! [X0] :
      ( empty(sK4(powerset(sK4(powerset(sK3(powerset(X0)))))))
      | ~ empty(X0)
      | being_limit_ordinal(powerset(X0))
      | ~ ordinal(powerset(X0)) ),
    inference(resolution,[],[f1813,f390]) ).

fof(f2345,plain,
    ! [X0] :
      ( empty(sK4(powerset(sK4(powerset(sK3(powerset(X0)))))))
      | element(sK4(sK4(powerset(sK4(powerset(sK3(powerset(X0))))))),X0)
      | being_limit_ordinal(powerset(X0))
      | ~ ordinal(powerset(X0)) ),
    inference(resolution,[],[f1813,f447]) ).

fof(f2344,plain,
    ! [X0] :
      ( empty(sK4(powerset(sK4(powerset(sK3(succ(X0)))))))
      | ~ ordinal(X0)
      | ~ ordinal(sK4(sK4(powerset(sK4(powerset(sK3(succ(X0))))))))
      | ~ in(X0,sK4(sK4(powerset(sK4(powerset(sK3(succ(X0)))))))) ),
    inference(resolution,[],[f1813,f1637]) ).

fof(f2343,plain,
    ! [X0] :
      ( empty(sK4(powerset(sK4(powerset(sK3(X0))))))
      | ordinal_subset(sK4(sK4(powerset(sK4(powerset(sK3(X0)))))),X0)
      | being_limit_ordinal(X0)
      | ~ ordinal(sK4(sK4(powerset(sK4(powerset(sK3(X0)))))))
      | ~ ordinal(X0) ),
    inference(resolution,[],[f1813,f1084]) ).

fof(f2342,plain,
    ! [X0] :
      ( empty(sK4(powerset(sK4(powerset(powerset(X0))))))
      | subset(sK4(sK4(powerset(sK4(powerset(powerset(X0)))))),X0) ),
    inference(resolution,[],[f1813,f324]) ).

fof(f2341,plain,
    ! [X0,X1] :
      ( empty(sK4(powerset(sK4(powerset(powerset(X0))))))
      | ~ in(X1,sK4(sK4(powerset(sK4(powerset(powerset(X0)))))))
      | ~ empty(X0) ),
    inference(resolution,[],[f1813,f350]) ).

fof(f2340,plain,
    ! [X0,X1] :
      ( empty(sK4(powerset(sK4(powerset(powerset(X0))))))
      | ~ in(X1,sK4(sK4(powerset(sK4(powerset(powerset(X0)))))))
      | element(X1,X0) ),
    inference(resolution,[],[f1813,f429]) ).

fof(f2339,plain,
    ! [X0] :
      ( empty(sK4(powerset(sK4(powerset(powerset(X0))))))
      | ~ being_limit_ordinal(powerset(X0))
      | ~ ordinal(powerset(X0))
      | ~ ordinal(sK4(sK4(powerset(sK4(powerset(powerset(X0)))))))
      | ~ empty(X0) ),
    inference(resolution,[],[f1813,f1975]) ).

fof(f2338,plain,
    ! [X0] :
      ( empty(sK4(powerset(sK4(powerset(succ(X0))))))
      | ~ ordinal(X0)
      | ~ being_limit_ordinal(sK4(sK4(powerset(sK4(powerset(succ(X0)))))))
      | ~ ordinal(sK4(sK4(powerset(sK4(powerset(succ(X0)))))))
      | ~ in(X0,sK4(sK4(powerset(sK4(powerset(succ(X0))))))) ),
    inference(resolution,[],[f1813,f526]) ).

fof(f2337,plain,
    ! [X0,X1] :
      ( empty(sK4(powerset(sK4(powerset(succ(X0))))))
      | element(sK4(sK4(powerset(sK4(powerset(succ(X0)))))),X1)
      | ~ ordinal(X1)
      | ~ in(X0,X1)
      | ~ ordinal(X0) ),
    inference(resolution,[],[f1813,f845]) ).

fof(f2335,plain,
    ! [X0,X1] :
      ( empty(sK4(powerset(sK4(powerset(succ(X0))))))
      | ~ ordinal(X0)
      | ~ being_limit_ordinal(powerset(X1))
      | ~ ordinal(powerset(X1))
      | ~ in(X0,powerset(X1))
      | element(sK4(sK4(powerset(sK4(powerset(succ(X0)))))),X1) ),
    inference(resolution,[],[f1813,f528]) ).

fof(f2331,plain,
    ! [X0,X1] :
      ( empty(sK4(powerset(sK4(powerset(X0)))))
      | element(sK4(sK4(powerset(sK4(powerset(X0))))),X1)
      | ~ ordinal(X1)
      | ~ ordinal(X0)
      | ordinal_subset(X1,X0) ),
    inference(resolution,[],[f1813,f837]) ).

fof(f2330,plain,
    ! [X0,X1] :
      ( empty(sK4(powerset(sK4(powerset(X0)))))
      | element(sK4(sK4(powerset(sK4(powerset(X0))))),succ(X1))
      | ~ ordinal(X0)
      | ~ ordinal(X1)
      | in(X1,X0) ),
    inference(resolution,[],[f1813,f844]) ).

fof(f1813,plain,
    ! [X0] :
      ( in(sK4(sK4(powerset(sK4(powerset(X0))))),X0)
      | empty(sK4(powerset(sK4(powerset(X0))))) ),
    inference(subsumption_resolution,[],[f1811,f496]) ).

fof(f1811,plain,
    ! [X0] :
      ( empty(sK4(powerset(sK4(powerset(X0)))))
      | empty(X0)
      | in(sK4(sK4(powerset(sK4(powerset(X0))))),X0) ),
    inference(resolution,[],[f495,f204]) ).

fof(f2329,plain,
    ! [X0,X1] :
      ( ~ in(X0,powerset(X1))
      | ~ ordinal(X0)
      | ~ ordinal(powerset(X1))
      | sK4(succ(X0)) = X1
      | proper_subset(sK4(succ(X0)),X1) ),
    inference(resolution,[],[f1630,f212]) ).

fof(f2328,plain,
    ! [X2,X0,X1] :
      ( ~ in(X0,powerset(X1))
      | ~ ordinal(X0)
      | ~ ordinal(powerset(X1))
      | ~ in(X2,sK4(succ(X0)))
      | ~ empty(X1) ),
    inference(resolution,[],[f1630,f349]) ).

fof(f2327,plain,
    ! [X0,X1] :
      ( ~ in(X0,powerset(X1))
      | ~ ordinal(X0)
      | ~ ordinal(powerset(X1))
      | ordinal_subset(sK4(succ(X0)),X1)
      | ~ ordinal(X1)
      | ~ ordinal(sK4(succ(X0))) ),
    inference(resolution,[],[f1630,f210]) ).

fof(f2326,plain,
    ! [X2,X0,X1] :
      ( ~ in(X0,powerset(X1))
      | ~ ordinal(X0)
      | ~ ordinal(powerset(X1))
      | ~ in(X2,sK4(succ(X0)))
      | element(X2,X1) ),
    inference(resolution,[],[f1630,f428]) ).

fof(f1630,plain,
    ! [X0,X1] :
      ( subset(sK4(succ(X1)),X0)
      | ~ in(X1,powerset(X0))
      | ~ ordinal(X1)
      | ~ ordinal(powerset(X0)) ),
    inference(resolution,[],[f1621,f213]) ).

fof(f2325,plain,
    ! [X0,X1] :
      ( ~ in(X0,powerset(X1))
      | ~ ordinal(X0)
      | ~ ordinal(powerset(X1))
      | sK3(succ(X0)) = X1
      | proper_subset(sK3(succ(X0)),X1) ),
    inference(resolution,[],[f1625,f212]) ).

fof(f2324,plain,
    ! [X2,X0,X1] :
      ( ~ in(X0,powerset(X1))
      | ~ ordinal(X0)
      | ~ ordinal(powerset(X1))
      | ~ in(X2,sK3(succ(X0)))
      | ~ empty(X1) ),
    inference(resolution,[],[f1625,f349]) ).

fof(f2323,plain,
    ! [X0,X1] :
      ( ~ in(X0,powerset(X1))
      | ~ ordinal(X0)
      | ~ ordinal(powerset(X1))
      | ordinal_subset(sK3(succ(X0)),X1)
      | ~ ordinal(X1)
      | ~ ordinal(sK3(succ(X0))) ),
    inference(resolution,[],[f1625,f210]) ).

fof(f2322,plain,
    ! [X2,X0,X1] :
      ( ~ in(X0,powerset(X1))
      | ~ ordinal(X0)
      | ~ ordinal(powerset(X1))
      | ~ in(X2,sK3(succ(X0)))
      | element(X2,X1) ),
    inference(resolution,[],[f1625,f428]) ).

fof(f1625,plain,
    ! [X0,X1] :
      ( subset(sK3(succ(X1)),X0)
      | ~ in(X1,powerset(X0))
      | ~ ordinal(X1)
      | ~ ordinal(powerset(X0)) ),
    inference(resolution,[],[f1619,f213]) ).

fof(f2321,plain,
    ! [X0,X1] :
      ( ~ empty(X0)
      | empty_set = sK4(sK4(powerset(powerset(X0))))
      | sK4(powerset(powerset(X0))) = sK4(powerset(sK4(powerset(X1))))
      | ~ empty(X1) ),
    inference(resolution,[],[f1502,f502]) ).

fof(f2320,plain,
    ! [X0,X1] :
      ( ~ empty(X0)
      | empty_set = sK4(sK4(powerset(powerset(X0))))
      | sK4(powerset(sK4(powerset(X1)))) = sK4(powerset(sK4(powerset(powerset(X0)))))
      | ~ empty(X1) ),
    inference(resolution,[],[f1502,f500]) ).

fof(f2319,plain,
    ! [X0] :
      ( ~ empty(X0)
      | empty_set = sK4(sK4(powerset(powerset(X0))))
      | empty_set = sK4(powerset(sK4(powerset(sK4(powerset(sK4(powerset(sK4(powerset(powerset(X0))))))))))) ),
    inference(resolution,[],[f1502,f499]) ).

fof(f2318,plain,
    ! [X0] :
      ( ~ empty(X0)
      | empty_set = sK4(sK4(powerset(powerset(X0))))
      | empty_set = sK4(powerset(sK4(powerset(sK4(powerset(sK4(powerset(powerset(X0))))))))) ),
    inference(resolution,[],[f1502,f403]) ).

fof(f2317,plain,
    ! [X0,X1] :
      ( ~ empty(X0)
      | empty_set = sK4(sK4(powerset(powerset(X0))))
      | ~ empty(X1)
      | sK4(powerset(X1)) = sK4(powerset(sK4(powerset(powerset(X0))))) ),
    inference(resolution,[],[f1502,f393]) ).

fof(f2316,plain,
    ! [X0] :
      ( ~ empty(X0)
      | empty_set = sK4(sK4(powerset(powerset(X0))))
      | empty_set = sK4(powerset(sK4(powerset(sK4(powerset(powerset(X0))))))) ),
    inference(resolution,[],[f1502,f356]) ).

fof(f2315,plain,
    ! [X0] :
      ( ~ empty(X0)
      | empty_set = sK4(sK4(powerset(powerset(X0))))
      | empty_set = sK4(powerset(sK4(powerset(powerset(X0))))) ),
    inference(resolution,[],[f1502,f354]) ).

fof(f2314,plain,
    ! [X0,X1] :
      ( ~ empty(X0)
      | empty_set = sK4(sK4(powerset(powerset(X0))))
      | sK4(powerset(X1)) = sK4(powerset(powerset(X0)))
      | ~ empty(X1) ),
    inference(resolution,[],[f1502,f353]) ).

fof(f2313,plain,
    ! [X0,X1] :
      ( ~ empty(X0)
      | empty_set = sK4(sK4(powerset(powerset(X0))))
      | sK4(powerset(powerset(X0))) = X1
      | ~ empty(X1) ),
    inference(resolution,[],[f1502,f215]) ).

fof(f2312,plain,
    ! [X0] :
      ( ~ empty(X0)
      | empty_set = sK4(sK4(powerset(powerset(X0))))
      | empty_set = sK4(powerset(powerset(X0))) ),
    inference(resolution,[],[f1502,f189]) ).

fof(f1502,plain,
    ! [X0] :
      ( empty(sK4(powerset(powerset(X0))))
      | ~ empty(X0)
      | empty_set = sK4(sK4(powerset(powerset(X0)))) ),
    inference(resolution,[],[f1499,f189]) ).

fof(f2304,plain,
    ! [X2,X0,X1] :
      ( ~ empty(X0)
      | ordinal_subset(X0,sK3(X1))
      | sK4(powerset(sK3(X1))) = X2
      | ~ empty(X2)
      | being_limit_ordinal(X1)
      | ~ ordinal(X1) ),
    inference(resolution,[],[f581,f182]) ).

fof(f2302,plain,
    ! [X2,X0,X1] :
      ( ~ empty(X0)
      | ordinal_subset(X0,sK1(X1))
      | sK4(powerset(sK1(X1))) = X2
      | ~ empty(X2)
      | ~ sP0(X1) ),
    inference(resolution,[],[f581,f153]) ).

fof(f2300,plain,
    ! [X2,X0,X1] :
      ( ~ empty(X0)
      | ordinal_subset(X0,succ(X1))
      | sK4(powerset(succ(X1))) = X2
      | ~ empty(X2)
      | ~ ordinal(X1) ),
    inference(resolution,[],[f581,f180]) ).

fof(f581,plain,
    ! [X2,X0,X1] :
      ( ~ ordinal(X1)
      | ~ empty(X0)
      | ordinal_subset(X0,X1)
      | sK4(powerset(X1)) = X2
      | ~ empty(X2) ),
    inference(resolution,[],[f489,f215]) ).

fof(f580,plain,
    ! [X0,X1] :
      ( ordinal_subset(X0,X1)
      | ~ empty(X0)
      | ~ ordinal(X1)
      | empty_set = sK4(powerset(sK4(powerset(X1)))) ),
    inference(resolution,[],[f489,f354]) ).

fof(f2272,plain,
    ! [X0,X1] :
      ( ~ ordinal(sK4(succ(X0)))
      | ~ being_limit_ordinal(sK4(powerset(X1)))
      | ~ ordinal(sK4(powerset(X1)))
      | element(succ(sK4(succ(X0))),X1)
      | ~ in(X0,sK4(powerset(X1)))
      | ~ ordinal(X0) ),
    inference(duplicate_literal_removal,[],[f2270]) ).

fof(f2270,plain,
    ! [X0,X1] :
      ( ~ ordinal(sK4(succ(X0)))
      | ~ being_limit_ordinal(sK4(powerset(X1)))
      | ~ ordinal(sK4(powerset(X1)))
      | element(succ(sK4(succ(X0))),X1)
      | ~ in(X0,sK4(powerset(X1)))
      | ~ ordinal(X0)
      | ~ ordinal(sK4(powerset(X1))) ),
    inference(resolution,[],[f533,f1632]) ).

fof(f2273,plain,
    ! [X0,X1] :
      ( ~ ordinal(sK4(X0))
      | ~ being_limit_ordinal(sK4(powerset(X1)))
      | ~ ordinal(sK4(powerset(X1)))
      | element(succ(sK4(X0)),X1)
      | ~ ordinal(X0)
      | ordinal_subset(sK4(powerset(X1)),X0)
      | empty(X0) ),
    inference(duplicate_literal_removal,[],[f2269]) ).

fof(f2269,plain,
    ! [X0,X1] :
      ( ~ ordinal(sK4(X0))
      | ~ being_limit_ordinal(sK4(powerset(X1)))
      | ~ ordinal(sK4(powerset(X1)))
      | element(succ(sK4(X0)),X1)
      | ~ ordinal(X0)
      | ordinal_subset(sK4(powerset(X1)),X0)
      | empty(X0)
      | ~ ordinal(sK4(powerset(X1))) ),
    inference(resolution,[],[f533,f994]) ).

fof(f2268,plain,
    ! [X0] :
      ( ~ ordinal(sK4(sK4(powerset(sK4(powerset(X0))))))
      | ~ being_limit_ordinal(sK4(powerset(X0)))
      | ~ ordinal(sK4(powerset(X0)))
      | element(succ(sK4(sK4(powerset(sK4(powerset(X0)))))),X0)
      | empty(sK4(powerset(sK4(powerset(X0))))) ),
    inference(resolution,[],[f533,f466]) ).

fof(f2267,plain,
    ! [X0] :
      ( ~ ordinal(sK4(sK4(powerset(X0))))
      | ~ being_limit_ordinal(sK4(powerset(X0)))
      | ~ ordinal(sK4(powerset(X0)))
      | element(succ(sK4(sK4(powerset(X0)))),X0)
      | empty(sK4(powerset(X0))) ),
    inference(resolution,[],[f533,f340]) ).

fof(f2284,plain,
    ! [X0] :
      ( ~ being_limit_ordinal(sK4(powerset(X0)))
      | ~ ordinal(sK4(powerset(X0)))
      | element(succ(sK3(sK4(powerset(sK4(powerset(X0)))))),X0)
      | ~ ordinal(sK4(powerset(sK4(powerset(X0)))))
      | being_limit_ordinal(sK4(powerset(sK4(powerset(X0))))) ),
    inference(subsumption_resolution,[],[f2266,f182]) ).

fof(f2266,plain,
    ! [X0] :
      ( ~ ordinal(sK3(sK4(powerset(sK4(powerset(X0))))))
      | ~ being_limit_ordinal(sK4(powerset(X0)))
      | ~ ordinal(sK4(powerset(X0)))
      | element(succ(sK3(sK4(powerset(sK4(powerset(X0)))))),X0)
      | ~ ordinal(sK4(powerset(sK4(powerset(X0)))))
      | being_limit_ordinal(sK4(powerset(sK4(powerset(X0))))) ),
    inference(resolution,[],[f533,f862]) ).

fof(f2274,plain,
    ! [X0,X1] :
      ( ~ ordinal(sK3(succ(X0)))
      | ~ being_limit_ordinal(sK4(powerset(X1)))
      | ~ ordinal(sK4(powerset(X1)))
      | element(succ(sK3(succ(X0))),X1)
      | ~ in(X0,sK4(powerset(X1)))
      | ~ ordinal(X0) ),
    inference(duplicate_literal_removal,[],[f2265]) ).

fof(f2265,plain,
    ! [X0,X1] :
      ( ~ ordinal(sK3(succ(X0)))
      | ~ being_limit_ordinal(sK4(powerset(X1)))
      | ~ ordinal(sK4(powerset(X1)))
      | element(succ(sK3(succ(X0))),X1)
      | ~ in(X0,sK4(powerset(X1)))
      | ~ ordinal(X0)
      | ~ ordinal(sK4(powerset(X1))) ),
    inference(resolution,[],[f533,f1627]) ).

fof(f2283,plain,
    ! [X0,X1] :
      ( ~ being_limit_ordinal(sK4(powerset(X1)))
      | ~ ordinal(sK4(powerset(X1)))
      | element(succ(sK3(X0)),X1)
      | ~ ordinal(X0)
      | ordinal_subset(sK4(powerset(X1)),X0)
      | being_limit_ordinal(X0) ),
    inference(subsumption_resolution,[],[f2275,f182]) ).

fof(f2275,plain,
    ! [X0,X1] :
      ( ~ ordinal(sK3(X0))
      | ~ being_limit_ordinal(sK4(powerset(X1)))
      | ~ ordinal(sK4(powerset(X1)))
      | element(succ(sK3(X0)),X1)
      | ~ ordinal(X0)
      | ordinal_subset(sK4(powerset(X1)),X0)
      | being_limit_ordinal(X0) ),
    inference(duplicate_literal_removal,[],[f2264]) ).

fof(f2264,plain,
    ! [X0,X1] :
      ( ~ ordinal(sK3(X0))
      | ~ being_limit_ordinal(sK4(powerset(X1)))
      | ~ ordinal(sK4(powerset(X1)))
      | element(succ(sK3(X0)),X1)
      | ~ ordinal(X0)
      | ordinal_subset(sK4(powerset(X1)),X0)
      | being_limit_ordinal(X0)
      | ~ ordinal(sK4(powerset(X1))) ),
    inference(resolution,[],[f533,f999]) ).

fof(f2282,plain,
    ! [X0,X1] :
      ( ~ being_limit_ordinal(sK4(powerset(X1)))
      | ~ ordinal(sK4(powerset(X1)))
      | element(succ(succ(X0)),X1)
      | ~ in(X0,sK4(powerset(X1)))
      | ~ ordinal(X0) ),
    inference(subsumption_resolution,[],[f2277,f180]) ).

fof(f2277,plain,
    ! [X0,X1] :
      ( ~ ordinal(succ(X0))
      | ~ being_limit_ordinal(sK4(powerset(X1)))
      | ~ ordinal(sK4(powerset(X1)))
      | element(succ(succ(X0)),X1)
      | ~ in(X0,sK4(powerset(X1)))
      | ~ ordinal(X0) ),
    inference(duplicate_literal_removal,[],[f2262]) ).

fof(f2262,plain,
    ! [X0,X1] :
      ( ~ ordinal(succ(X0))
      | ~ being_limit_ordinal(sK4(powerset(X1)))
      | ~ ordinal(sK4(powerset(X1)))
      | element(succ(succ(X0)),X1)
      | ~ in(X0,sK4(powerset(X1)))
      | ~ ordinal(X0)
      | ~ being_limit_ordinal(sK4(powerset(X1)))
      | ~ ordinal(sK4(powerset(X1))) ),
    inference(resolution,[],[f533,f181]) ).

fof(f2281,plain,
    ! [X0,X1] :
      ( ~ being_limit_ordinal(sK4(powerset(X1)))
      | ~ ordinal(sK4(powerset(X1)))
      | element(succ(X0),X1)
      | ~ empty(X0)
      | sK4(powerset(X1)) = X0 ),
    inference(subsumption_resolution,[],[f2278,f192]) ).

fof(f2278,plain,
    ! [X0,X1] :
      ( ~ ordinal(X0)
      | ~ being_limit_ordinal(sK4(powerset(X1)))
      | ~ ordinal(sK4(powerset(X1)))
      | element(succ(X0),X1)
      | ~ empty(X0)
      | sK4(powerset(X1)) = X0 ),
    inference(duplicate_literal_removal,[],[f2261]) ).

fof(f2261,plain,
    ! [X0,X1] :
      ( ~ ordinal(X0)
      | ~ being_limit_ordinal(sK4(powerset(X1)))
      | ~ ordinal(sK4(powerset(X1)))
      | element(succ(X0),X1)
      | ~ ordinal(sK4(powerset(X1)))
      | ~ empty(X0)
      | sK4(powerset(X1)) = X0 ),
    inference(resolution,[],[f533,f653]) ).

fof(f2279,plain,
    ! [X0,X1] :
      ( ~ ordinal(X0)
      | ~ being_limit_ordinal(sK4(powerset(X1)))
      | ~ ordinal(sK4(powerset(X1)))
      | element(succ(X0),X1)
      | in(sK4(powerset(X1)),X0)
      | sK4(powerset(X1)) = X0 ),
    inference(duplicate_literal_removal,[],[f2260]) ).

fof(f2260,plain,
    ! [X0,X1] :
      ( ~ ordinal(X0)
      | ~ being_limit_ordinal(sK4(powerset(X1)))
      | ~ ordinal(sK4(powerset(X1)))
      | element(succ(X0),X1)
      | in(sK4(powerset(X1)),X0)
      | ~ ordinal(sK4(powerset(X1)))
      | ~ ordinal(X0)
      | sK4(powerset(X1)) = X0 ),
    inference(resolution,[],[f533,f1007]) ).

fof(f2280,plain,
    ! [X0,X1] :
      ( ~ ordinal(X0)
      | ~ being_limit_ordinal(sK4(powerset(X1)))
      | ~ ordinal(sK4(powerset(X1)))
      | element(succ(X0),X1)
      | in(sK4(powerset(X1)),X0)
      | sK4(powerset(X1)) = X0 ),
    inference(duplicate_literal_removal,[],[f2259]) ).

fof(f2259,plain,
    ! [X0,X1] :
      ( ~ ordinal(X0)
      | ~ being_limit_ordinal(sK4(powerset(X1)))
      | ~ ordinal(sK4(powerset(X1)))
      | element(succ(X0),X1)
      | in(sK4(powerset(X1)),X0)
      | ~ ordinal(X0)
      | ~ ordinal(sK4(powerset(X1)))
      | sK4(powerset(X1)) = X0 ),
    inference(resolution,[],[f533,f1007]) ).

fof(f533,plain,
    ! [X0,X1] :
      ( ~ in(X0,sK4(powerset(X1)))
      | ~ ordinal(X0)
      | ~ being_limit_ordinal(sK4(powerset(X1)))
      | ~ ordinal(sK4(powerset(X1)))
      | element(succ(X0),X1) ),
    inference(resolution,[],[f181,f427]) ).

fof(f1797,plain,
    ! [X0] :
      ( being_limit_ordinal(sK4(powerset(sK4(powerset(X0)))))
      | ~ ordinal(sK4(powerset(sK4(powerset(X0)))))
      | ~ empty(X0) ),
    inference(resolution,[],[f862,f348]) ).

fof(f2254,plain,
    ! [X0] :
      ( being_limit_ordinal(sK4(powerset(sK4(succ(X0)))))
      | ~ ordinal(sK4(powerset(sK4(succ(X0)))))
      | ~ in(X0,sK3(sK4(powerset(sK4(succ(X0))))))
      | ~ ordinal(X0) ),
    inference(subsumption_resolution,[],[f2248,f182]) ).

fof(f2248,plain,
    ! [X0] :
      ( being_limit_ordinal(sK4(powerset(sK4(succ(X0)))))
      | ~ ordinal(sK4(powerset(sK4(succ(X0)))))
      | ~ in(X0,sK3(sK4(powerset(sK4(succ(X0))))))
      | ~ ordinal(X0)
      | ~ ordinal(sK3(sK4(powerset(sK4(succ(X0)))))) ),
    inference(resolution,[],[f1783,f1632]) ).

fof(f2253,plain,
    ! [X0] :
      ( being_limit_ordinal(sK4(powerset(sK4(X0))))
      | ~ ordinal(sK4(powerset(sK4(X0))))
      | ~ ordinal(X0)
      | ordinal_subset(sK3(sK4(powerset(sK4(X0)))),X0)
      | empty(X0) ),
    inference(subsumption_resolution,[],[f2247,f182]) ).

fof(f2247,plain,
    ! [X0] :
      ( being_limit_ordinal(sK4(powerset(sK4(X0))))
      | ~ ordinal(sK4(powerset(sK4(X0))))
      | ~ ordinal(X0)
      | ordinal_subset(sK3(sK4(powerset(sK4(X0)))),X0)
      | empty(X0)
      | ~ ordinal(sK3(sK4(powerset(sK4(X0))))) ),
    inference(resolution,[],[f1783,f994]) ).

fof(f2252,plain,
    ! [X0] :
      ( being_limit_ordinal(sK4(powerset(sK3(succ(X0)))))
      | ~ ordinal(sK4(powerset(sK3(succ(X0)))))
      | ~ in(X0,sK3(sK4(powerset(sK3(succ(X0))))))
      | ~ ordinal(X0) ),
    inference(subsumption_resolution,[],[f2246,f182]) ).

fof(f2246,plain,
    ! [X0] :
      ( being_limit_ordinal(sK4(powerset(sK3(succ(X0)))))
      | ~ ordinal(sK4(powerset(sK3(succ(X0)))))
      | ~ in(X0,sK3(sK4(powerset(sK3(succ(X0))))))
      | ~ ordinal(X0)
      | ~ ordinal(sK3(sK4(powerset(sK3(succ(X0)))))) ),
    inference(resolution,[],[f1783,f1627]) ).

fof(f2251,plain,
    ! [X0] :
      ( being_limit_ordinal(sK4(powerset(sK3(X0))))
      | ~ ordinal(sK4(powerset(sK3(X0))))
      | ~ ordinal(X0)
      | ordinal_subset(sK3(sK4(powerset(sK3(X0)))),X0)
      | being_limit_ordinal(X0) ),
    inference(subsumption_resolution,[],[f2245,f182]) ).

fof(f2245,plain,
    ! [X0] :
      ( being_limit_ordinal(sK4(powerset(sK3(X0))))
      | ~ ordinal(sK4(powerset(sK3(X0))))
      | ~ ordinal(X0)
      | ordinal_subset(sK3(sK4(powerset(sK3(X0)))),X0)
      | being_limit_ordinal(X0)
      | ~ ordinal(sK3(sK4(powerset(sK3(X0))))) ),
    inference(resolution,[],[f1783,f999]) ).

fof(f2250,plain,
    ! [X0] :
      ( being_limit_ordinal(sK4(powerset(succ(X0))))
      | ~ ordinal(sK4(powerset(succ(X0))))
      | ~ in(X0,sK3(sK4(powerset(succ(X0)))))
      | ~ ordinal(X0)
      | ~ being_limit_ordinal(sK3(sK4(powerset(succ(X0))))) ),
    inference(subsumption_resolution,[],[f2244,f182]) ).

fof(f2244,plain,
    ! [X0] :
      ( being_limit_ordinal(sK4(powerset(succ(X0))))
      | ~ ordinal(sK4(powerset(succ(X0))))
      | ~ in(X0,sK3(sK4(powerset(succ(X0)))))
      | ~ ordinal(X0)
      | ~ being_limit_ordinal(sK3(sK4(powerset(succ(X0)))))
      | ~ ordinal(sK3(sK4(powerset(succ(X0))))) ),
    inference(resolution,[],[f1783,f181]) ).

fof(f1783,plain,
    ! [X0] :
      ( ~ in(X0,sK3(sK4(powerset(X0))))
      | being_limit_ordinal(sK4(powerset(X0)))
      | ~ ordinal(sK4(powerset(X0))) ),
    inference(resolution,[],[f862,f205]) ).

fof(f1573,plain,
    ! [X0,X1] :
      ( element(sK3(X0),succ(X1))
      | ~ ordinal(X0)
      | ~ ordinal(X1)
      | in(X1,X0)
      | being_limit_ordinal(X0) ),
    inference(duplicate_literal_removal,[],[f1566]) ).

fof(f1566,plain,
    ! [X0,X1] :
      ( element(sK3(X0),succ(X1))
      | ~ ordinal(X0)
      | ~ ordinal(X1)
      | in(X1,X0)
      | being_limit_ordinal(X0)
      | ~ ordinal(X0) ),
    inference(resolution,[],[f844,f183]) ).

fof(f1568,plain,
    ! [X0,X1] :
      ( element(sK4(X0),succ(X1))
      | ~ ordinal(X0)
      | ~ ordinal(X1)
      | in(X1,X0)
      | empty(X0) ),
    inference(resolution,[],[f844,f340]) ).

fof(f2215,plain,
    ! [X0] :
      ( ~ ordinal(powerset(X0))
      | ~ ordinal(succ(sK3(succ(powerset(X0)))))
      | empty(powerset(X0))
      | ~ subset(succ(succ(sK3(succ(powerset(X0))))),X0) ),
    inference(resolution,[],[f1533,f342]) ).

fof(f2235,plain,
    ! [X0] :
      ( ~ ordinal(succ(succ(X0)))
      | ~ ordinal(succ(sK3(succ(succ(succ(X0))))))
      | in(X0,succ(succ(succ(succ(sK3(succ(succ(succ(X0)))))))))
      | ~ ordinal(X0) ),
    inference(subsumption_resolution,[],[f2214,f180]) ).

fof(f2214,plain,
    ! [X0] :
      ( ~ ordinal(succ(succ(X0)))
      | ~ ordinal(succ(sK3(succ(succ(succ(X0))))))
      | in(X0,succ(succ(succ(succ(sK3(succ(succ(succ(X0)))))))))
      | ~ ordinal(succ(succ(sK3(succ(succ(succ(X0)))))))
      | ~ ordinal(X0) ),
    inference(resolution,[],[f1533,f715]) ).

fof(f2234,plain,
    ! [X0] :
      ( ~ ordinal(succ(succ(X0)))
      | ~ ordinal(succ(sK3(succ(succ(succ(X0))))))
      | in(X0,succ(succ(succ(succ(sK3(succ(succ(succ(X0)))))))))
      | ~ ordinal(X0) ),
    inference(subsumption_resolution,[],[f2213,f180]) ).

fof(f2213,plain,
    ! [X0] :
      ( ~ ordinal(succ(succ(X0)))
      | ~ ordinal(succ(sK3(succ(succ(succ(X0))))))
      | in(X0,succ(succ(succ(succ(sK3(succ(succ(succ(X0)))))))))
      | ~ ordinal(X0)
      | ~ ordinal(succ(succ(sK3(succ(succ(succ(X0))))))) ),
    inference(resolution,[],[f1533,f715]) ).

fof(f2233,plain,
    ! [X0] :
      ( ~ ordinal(succ(succ(X0)))
      | ~ ordinal(succ(sK3(succ(succ(succ(X0))))))
      | ~ ordinal(X0)
      | element(X0,succ(succ(succ(sK3(succ(succ(succ(X0)))))))) ),
    inference(subsumption_resolution,[],[f2212,f180]) ).

fof(f2212,plain,
    ! [X0] :
      ( ~ ordinal(succ(succ(X0)))
      | ~ ordinal(succ(sK3(succ(succ(succ(X0))))))
      | ~ ordinal(X0)
      | element(X0,succ(succ(succ(sK3(succ(succ(succ(X0))))))))
      | ~ ordinal(succ(succ(sK3(succ(succ(succ(X0))))))) ),
    inference(resolution,[],[f1533,f1956]) ).

fof(f2232,plain,
    ! [X0] :
      ( ~ ordinal(succ(sK3(succ(succ(X0)))))
      | in(X0,succ(succ(succ(sK3(succ(succ(X0)))))))
      | ~ ordinal(X0) ),
    inference(subsumption_resolution,[],[f2231,f180]) ).

fof(f2231,plain,
    ! [X0] :
      ( ~ ordinal(succ(sK3(succ(succ(X0)))))
      | in(X0,succ(succ(succ(sK3(succ(succ(X0)))))))
      | ~ ordinal(succ(succ(sK3(succ(succ(X0))))))
      | ~ ordinal(X0) ),
    inference(subsumption_resolution,[],[f2211,f180]) ).

fof(f2211,plain,
    ! [X0] :
      ( ~ ordinal(succ(X0))
      | ~ ordinal(succ(sK3(succ(succ(X0)))))
      | in(X0,succ(succ(succ(sK3(succ(succ(X0)))))))
      | ~ ordinal(succ(succ(sK3(succ(succ(X0))))))
      | ~ ordinal(X0) ),
    inference(resolution,[],[f1533,f552]) ).

fof(f2230,plain,
    ! [X0] :
      ( ~ ordinal(succ(sK3(succ(succ(X0)))))
      | in(X0,succ(succ(succ(sK3(succ(succ(X0)))))))
      | ~ ordinal(X0) ),
    inference(subsumption_resolution,[],[f2229,f180]) ).

fof(f2229,plain,
    ! [X0] :
      ( ~ ordinal(succ(sK3(succ(succ(X0)))))
      | in(X0,succ(succ(succ(sK3(succ(succ(X0)))))))
      | ~ ordinal(X0)
      | ~ ordinal(succ(succ(sK3(succ(succ(X0)))))) ),
    inference(subsumption_resolution,[],[f2210,f180]) ).

fof(f2210,plain,
    ! [X0] :
      ( ~ ordinal(succ(X0))
      | ~ ordinal(succ(sK3(succ(succ(X0)))))
      | in(X0,succ(succ(succ(sK3(succ(succ(X0)))))))
      | ~ ordinal(X0)
      | ~ ordinal(succ(succ(sK3(succ(succ(X0)))))) ),
    inference(resolution,[],[f1533,f552]) ).

fof(f2228,plain,
    ! [X0] :
      ( ~ ordinal(succ(sK3(succ(succ(X0)))))
      | ~ being_limit_ordinal(X0)
      | ~ ordinal(X0)
      | ~ in(succ(succ(sK3(succ(succ(X0))))),X0) ),
    inference(subsumption_resolution,[],[f2227,f180]) ).

fof(f2227,plain,
    ! [X0] :
      ( ~ ordinal(succ(sK3(succ(succ(X0)))))
      | ~ being_limit_ordinal(X0)
      | ~ ordinal(X0)
      | ~ in(succ(succ(sK3(succ(succ(X0))))),X0)
      | ~ ordinal(succ(succ(sK3(succ(succ(X0)))))) ),
    inference(subsumption_resolution,[],[f2209,f180]) ).

fof(f2209,plain,
    ! [X0] :
      ( ~ ordinal(succ(X0))
      | ~ ordinal(succ(sK3(succ(succ(X0)))))
      | ~ being_limit_ordinal(X0)
      | ~ ordinal(X0)
      | ~ in(succ(succ(sK3(succ(succ(X0))))),X0)
      | ~ ordinal(succ(succ(sK3(succ(succ(X0)))))) ),
    inference(resolution,[],[f1533,f735]) ).

fof(f2226,plain,
    ! [X0] :
      ( ~ ordinal(succ(X0))
      | ~ ordinal(succ(sK3(succ(succ(X0)))))
      | in(X0,succ(succ(succ(sK3(succ(succ(X0))))))) ),
    inference(subsumption_resolution,[],[f2222,f180]) ).

fof(f2222,plain,
    ! [X0] :
      ( ~ ordinal(succ(X0))
      | ~ ordinal(succ(sK3(succ(succ(X0)))))
      | in(X0,succ(succ(succ(sK3(succ(succ(X0)))))))
      | ~ ordinal(succ(succ(sK3(succ(succ(X0)))))) ),
    inference(duplicate_literal_removal,[],[f2208]) ).

fof(f2208,plain,
    ! [X0] :
      ( ~ ordinal(succ(X0))
      | ~ ordinal(succ(sK3(succ(succ(X0)))))
      | in(X0,succ(succ(succ(sK3(succ(succ(X0)))))))
      | ~ ordinal(succ(succ(sK3(succ(succ(X0))))))
      | ~ ordinal(succ(X0)) ),
    inference(resolution,[],[f1533,f1055]) ).

fof(f2225,plain,
    ! [X0] :
      ( ~ ordinal(succ(sK3(succ(succ(X0)))))
      | in(X0,succ(succ(succ(sK3(succ(succ(X0)))))))
      | ~ ordinal(X0) ),
    inference(global_subsumption,[],[f158,f160,f162,f166,f177,f248,f156,f159,f167,f168,f169,f219,f220,f221,f222,f223,f224,f225,f227,f228,f229,f230,f241,f242,f243,f244,f246,f170,f198,f157,f155,f171,f175,f190,f191,f192,f196,f153,f172,f178,f179,f180,f189,f259,f260,f261,f262,f199,f216,f193,f201,f202,f203,f205,f281,f206,f154,f173,f182,f200,f286,f289,f292,f285,f300,f295,f207,f213,f323,f214,f215,f324,f183,f338,f204,f340,f343,f335,f184,f212,f218,f348,f352,f354,f361,f362,f363,f364,f355,f369,f370,f373,f368,f174,f349,f350,f353,f356,f208,f209,f210,f217,f427,f428,f342,f441,f429,f347,f449,f351,f421,f460,f432,f461,f439,f450,f185,f459,f472,f471,f475,f476,f466,f492,f493,f494,f496,f501,f490,f186,f522,f181,f540,f541,f533,f535,f538,f546,f521,f337,f553,f555,f556,f423,f393,f562,f563,f489,f577,f578,f579,f580,f581,f403,f588,f589,f590,f502,f610,f611,f612,f420,f641,f642,f636,f646,f644,f649,f657,f653,f667,f651,f443,f679,f552,f686,f689,f691,f701,f693,f463,f702,f703,f704,f705,f682,f713,f707,f717,f710,f684,f724,f722,f526,f736,f733,f740,f745,f746,f719,f753,f755,f757,f750,f582,f664,f675,f765,f767,f769,f768,f390,f789,f770,f771,f787,f812,f813,f814,f815,f816,f817,f818,f790,f436,f838,f635,f853,f854,f542,f856,f431,f857,f858,f859,f865,f557,f884,f885,f886,f887,f735,f893,f901,f903,f905,f897,f837,f921,f922,f923,f924,f911,f920,f919,f917,f906,f932,f931,f852,f951,f447,f957,f958,f959,f955,f956,f734,f964,f811,f891,f982,f984,f986,f988,f977,f916,f989,f990,f991,f918,f995,f996,f997,f950,f1004,f499,f1009,f1010,f1011,f1012,f500,f1037,f1038,f1039,f1040,f933,f994,f1076,f1075,f1074,f1077,f1062,f1063,f1064,f1078,f1066,f1079,f1080,f1069,f1070,f1071,f1072,f999,f1099,f1098,f1103,f1087,f1088,f1089,f1106,f1107,f1108,f1094,f1095,f1096,f1097,f1101,f1114,f1115,f1105,f1120,f1119,f1002,f1130,f1129,f1007,f1203,f1202,f1137,f1138,f1139,f1199,f1205,f1206,f1145,f1146,f1198,f1196,f1192,f1191,f1162,f1163,f1164,f1188,f1207,f1208,f1170,f1171,f1187,f1185,f645,f1215,f1217,f1212,f1055,f1252,f1250,f1256,f1248,f1257,f1258,f1230,f1259,f1237,f1261,f1262,f1263,f1264,f1243,f1255,f1266,f1270,f1271,f1272,f1268,f1274,f1283,f1276,f1277,f1284,f1278,f1285,f1279,f1253,f1295,f1296,f1293,f1289,f1298,f1308,f1309,f1310,f1303,f1059,f1323,f1324,f1325,f1317,f1318,f1319,f1084,f1338,f1340,f1332,f1333,f1341,f1222,f1366,f1363,f1367,f1368,f1369,f1370,f1371,f1352,f1235,f1373,f1374,f1388,f1390,f1391,f1392,f1393,f1394,f1395,f1379,f1396,f1397,f1381,f1398,f1382,f647,f1408,f1409,f1402,f1404,f1387,f1411,f1422,f1420,f1423,f1424,f1413,f1440,f1438,f1441,f1442,f1443,f1431,f1419,f1444,f444,f1468,f1462,f1461,f1471,f1470,f1489,f1487,f1490,f1491,f1492,f1477,f1483,f1482,f462,f1493,f1494,f1495,f1497,f1498,f1500,f1501,f1499,f1502,f1503,f1504,f1505,f1506,f1507,f1508,f1509,f1510,f1511,f468,f1513,f1512,f1514,f741,f1526,f1525,f1527,f1528,f1529,f1521,f699,f1541,f1542,f1543,f1544,f1546,f1548,f1539,f844,f1579,f1578,f1580,f1581,f1582,f1555,f1556,f1583,f1584,f1585,f1560,f1577,f1576,f1575,f1574,f1573,f1572,f1568,f1569,f1571,f845,f1612,f1613,f1611,f1610,f1609,f1592,f1608,f1607,f1606,f1615,f1616,f1617,f1620,f1604,f1622,f1619,f1623,f1624,f1625,f1621,f1628,f1629,f1630,f1627,f1659,f1658,f1661,f1662,f1641,f1642,f1643,f1663,f1664,f1646,f1665,f1649,f1650,f1656,f1652,f1654,f1632,f1692,f1691,f1694,f1695,f1674,f1675,f1676,f1696,f1697,f1679,f1698,f1682,f1683,f1689,f1685,f1687,f1637,f1712,f1713,f1714,f1705,f1706,f1707,f1708,f1709,f1670,f1728,f1729,f1730,f1721,f1722,f1723,f1724,f1725,f530,f1734,f1741,f1736,f1737,f1614,f1762,f1743,f1763,f1764,f1766,f1768,f1770,f1771,f1750,f1772,f1774,f1775,f1777,f1754,f1778,f1779,f862,f1780,f1781,f1782,f1783,f1785,f1800,f1787,f1788,f1789,f1801,f1802,f1792,f1793,f1803,f1804,f1796,f1797,f1798,f495,f1808,f1809,f1810,f1813,f715,f1871,f1872,f1869,f1818,f1819,f1821,f1823,f1824,f1873,f1825,f1826,f1874,f1875,f1868,f1876,f1867,f1877,f1878,f1879,f1835,f1866,f1880,f1881,f1864,f1840,f1841,f1843,f1845,f1846,f1847,f1848,f1882,f1883,f1863,f1884,f1862,f1885,f1886,f1887,f1857,f1861,f1860,f1890,f1891,f1904,f1901,f1905,f1906,f1893,f1924,f1922,f1925,f1926,f1913,f1914,f1915,f1903,f1951,f1952,f1954,f1958,f1960,f1961,f1962,f1963,f1939,f1964,f1966,f1968,f1942,f1969,f1970,f1928,f1900,f1973,f529,f2007,f2008,f2009,f2010,f2005,f2011,f2004,f2012,f2013,f2003,f2014,f2015,f2016,f2017,f1985,f2018,f2002,f2001,f2019,f2020,f2021,f2022,f2023,f2025,f2026,f2027,f1996,f2028,f2029,f1998,f2030,f2031,f1956,f2062,f2063,f2064,f2065,f2060,f2036,f2037,f2041,f2042,f2066,f2043,f2044,f2067,f2046,f2068,f2059,f2069,f2070,f2071,f2058,f2072,f2073,f2074,f2055,f2057,f1959,f2039,f2101,f2077,f2102,f2099,f2103,f2104,f2105,f2083,f2106,f2107,f2085,f2086,f2087,f2088,f2089,f2108,f2109,f2092,f1975,f2110,f2132,f2131,f2133,f2134,f2135,f2120,f2121,f2125,f528,f2136,f2169,f2170,f2167,f2166,f2171,f2165,f2172,f2173,f2174,f2147,f2175,f2164,f2176,f2163,f2177,f2178,f2179,f2181,f2182,f2183,f2158,f2184,f2160,f2185,f2186,f788,f2187,f2188,f2189,f2190,f2191,f2192,f2193,f2194,f2195,f2196,f1467,f2204,f2203,f2205,f1533,f2223,f2224]) ).

fof(f2224,plain,
    ! [X0] :
      ( ~ ordinal(succ(sK3(succ(succ(X0)))))
      | in(X0,succ(succ(succ(sK3(succ(succ(X0)))))))
      | ~ ordinal(X0)
      | ~ ordinal(succ(succ(succ(sK3(succ(succ(X0))))))) ),
    inference(subsumption_resolution,[],[f2207,f180]) ).

fof(f2207,plain,
    ! [X0] :
      ( ~ ordinal(succ(X0))
      | ~ ordinal(succ(sK3(succ(succ(X0)))))
      | in(X0,succ(succ(succ(sK3(succ(succ(X0)))))))
      | ~ ordinal(X0)
      | ~ ordinal(succ(succ(succ(sK3(succ(succ(X0))))))) ),
    inference(resolution,[],[f1533,f1055]) ).

fof(f2223,plain,
    ! [X0] :
      ( ~ ordinal(X0)
      | ~ ordinal(succ(sK3(succ(X0))))
      | ~ in(succ(sK3(succ(X0))),X0)
      | ~ being_limit_ordinal(X0) ),
    inference(duplicate_literal_removal,[],[f2206]) ).

fof(f2206,plain,
    ! [X0] :
      ( ~ ordinal(X0)
      | ~ ordinal(succ(sK3(succ(X0))))
      | ~ in(succ(sK3(succ(X0))),X0)
      | ~ ordinal(succ(sK3(succ(X0))))
      | ~ being_limit_ordinal(X0)
      | ~ ordinal(X0) ),
    inference(resolution,[],[f1533,f181]) ).

fof(f1533,plain,
    ! [X0] :
      ( ~ in(succ(succ(sK3(succ(X0)))),X0)
      | ~ ordinal(X0)
      | ~ ordinal(succ(sK3(succ(X0)))) ),
    inference(resolution,[],[f699,f205]) ).

fof(f2205,plain,
    ! [X0] :
      ( ~ ordinal(succ(powerset(succ(X0))))
      | empty(powerset(succ(X0)))
      | in(X0,succ(powerset(succ(X0))))
      | ~ ordinal(X0) ),
    inference(subsumption_resolution,[],[f2201,f180]) ).

fof(f2201,plain,
    ! [X0] :
      ( ~ ordinal(succ(X0))
      | ~ ordinal(succ(powerset(succ(X0))))
      | empty(powerset(succ(X0)))
      | in(X0,succ(powerset(succ(X0))))
      | ~ ordinal(X0) ),
    inference(duplicate_literal_removal,[],[f2200]) ).

fof(f2200,plain,
    ! [X0] :
      ( ~ ordinal(succ(X0))
      | ~ ordinal(succ(powerset(succ(X0))))
      | empty(powerset(succ(X0)))
      | in(X0,succ(powerset(succ(X0))))
      | ~ ordinal(succ(powerset(succ(X0))))
      | ~ ordinal(X0) ),
    inference(resolution,[],[f1467,f186]) ).

fof(f2203,plain,
    ! [X0] :
      ( ~ ordinal(X0)
      | ~ ordinal(succ(powerset(X0)))
      | empty(powerset(X0))
      | succ(powerset(X0)) = X0
      | proper_subset(X0,succ(powerset(X0))) ),
    inference(duplicate_literal_removal,[],[f2198]) ).

fof(f2198,plain,
    ! [X0] :
      ( ~ ordinal(X0)
      | ~ ordinal(succ(powerset(X0)))
      | empty(powerset(X0))
      | ~ ordinal(succ(powerset(X0)))
      | ~ ordinal(X0)
      | succ(powerset(X0)) = X0
      | proper_subset(X0,succ(powerset(X0))) ),
    inference(resolution,[],[f1467,f420]) ).

fof(f2204,plain,
    ! [X0,X1] :
      ( ~ ordinal(X0)
      | ~ ordinal(succ(powerset(X0)))
      | empty(powerset(X0))
      | element(X1,succ(powerset(X0)))
      | ~ in(X1,X0) ),
    inference(duplicate_literal_removal,[],[f2197]) ).

fof(f2197,plain,
    ! [X0,X1] :
      ( ~ ordinal(X0)
      | ~ ordinal(succ(powerset(X0)))
      | empty(powerset(X0))
      | element(X1,succ(powerset(X0)))
      | ~ in(X1,X0)
      | ~ ordinal(succ(powerset(X0)))
      | ~ ordinal(X0) ),
    inference(resolution,[],[f1467,f436]) ).

fof(f1467,plain,
    ! [X0] :
      ( ordinal_subset(X0,succ(powerset(X0)))
      | ~ ordinal(X0)
      | ~ ordinal(succ(powerset(X0)))
      | empty(powerset(X0)) ),
    inference(duplicate_literal_removal,[],[f1447]) ).

fof(f1447,plain,
    ! [X0] :
      ( empty(powerset(X0))
      | ~ ordinal(X0)
      | ~ ordinal(succ(powerset(X0)))
      | ordinal_subset(X0,succ(powerset(X0)))
      | ~ ordinal(succ(powerset(X0)))
      | ~ ordinal(X0) ),
    inference(resolution,[],[f444,f208]) ).

fof(f2196,plain,
    ! [X0,X1] :
      ( being_limit_ordinal(powerset(X0))
      | ~ ordinal(powerset(X0))
      | ~ empty(X0)
      | sK4(powerset(sK4(powerset(X1)))) = sK4(powerset(sK3(powerset(X0))))
      | ~ empty(X1) ),
    inference(resolution,[],[f788,f502]) ).

fof(f2195,plain,
    ! [X0,X1] :
      ( being_limit_ordinal(powerset(X0))
      | ~ ordinal(powerset(X0))
      | ~ empty(X0)
      | sK4(powerset(sK4(powerset(X1)))) = sK4(powerset(sK4(powerset(sK3(powerset(X0))))))
      | ~ empty(X1) ),
    inference(resolution,[],[f788,f500]) ).

fof(f2194,plain,
    ! [X0] :
      ( being_limit_ordinal(powerset(X0))
      | ~ ordinal(powerset(X0))
      | ~ empty(X0)
      | empty_set = sK4(powerset(sK4(powerset(sK4(powerset(sK4(powerset(sK4(powerset(sK3(powerset(X0)))))))))))) ),
    inference(resolution,[],[f788,f499]) ).

fof(f2193,plain,
    ! [X0] :
      ( being_limit_ordinal(powerset(X0))
      | ~ ordinal(powerset(X0))
      | ~ empty(X0)
      | empty_set = sK4(powerset(sK4(powerset(sK4(powerset(sK4(powerset(sK3(powerset(X0)))))))))) ),
    inference(resolution,[],[f788,f403]) ).

fof(f2192,plain,
    ! [X0,X1] :
      ( being_limit_ordinal(powerset(X0))
      | ~ ordinal(powerset(X0))
      | ~ empty(X0)
      | ~ empty(X1)
      | sK4(powerset(X1)) = sK4(powerset(sK4(powerset(sK3(powerset(X0)))))) ),
    inference(resolution,[],[f788,f393]) ).

fof(f2191,plain,
    ! [X0] :
      ( being_limit_ordinal(powerset(X0))
      | ~ ordinal(powerset(X0))
      | ~ empty(X0)
      | empty_set = sK4(powerset(sK4(powerset(sK4(powerset(sK3(powerset(X0)))))))) ),
    inference(resolution,[],[f788,f356]) ).

fof(f2190,plain,
    ! [X0] :
      ( being_limit_ordinal(powerset(X0))
      | ~ ordinal(powerset(X0))
      | ~ empty(X0)
      | empty_set = sK4(powerset(sK4(powerset(sK3(powerset(X0)))))) ),
    inference(resolution,[],[f788,f354]) ).

fof(f2189,plain,
    ! [X0,X1] :
      ( being_limit_ordinal(powerset(X0))
      | ~ ordinal(powerset(X0))
      | ~ empty(X0)
      | sK4(powerset(X1)) = sK4(powerset(sK3(powerset(X0))))
      | ~ empty(X1) ),
    inference(resolution,[],[f788,f353]) ).

fof(f2188,plain,
    ! [X0,X1] :
      ( being_limit_ordinal(powerset(X0))
      | ~ ordinal(powerset(X0))
      | ~ empty(X0)
      | sK4(powerset(sK3(powerset(X0)))) = X1
      | ~ empty(X1) ),
    inference(resolution,[],[f788,f215]) ).

fof(f2187,plain,
    ! [X0] :
      ( being_limit_ordinal(powerset(X0))
      | ~ ordinal(powerset(X0))
      | ~ empty(X0)
      | empty_set = sK4(powerset(sK3(powerset(X0)))) ),
    inference(resolution,[],[f788,f189]) ).

fof(f788,plain,
    ! [X0] :
      ( empty(sK4(powerset(sK3(powerset(X0)))))
      | being_limit_ordinal(powerset(X0))
      | ~ ordinal(powerset(X0))
      | ~ empty(X0) ),
    inference(resolution,[],[f390,f466]) ).

fof(f2186,plain,
    ! [X2,X0,X1] :
      ( ~ ordinal(X0)
      | ~ being_limit_ordinal(powerset(X1))
      | ~ ordinal(powerset(X1))
      | ~ in(X0,powerset(X1))
      | element(sK4(succ(X2)),X1)
      | ~ in(X2,succ(X0))
      | ~ ordinal(X2) ),
    inference(subsumption_resolution,[],[f2162,f180]) ).

fof(f2162,plain,
    ! [X2,X0,X1] :
      ( ~ ordinal(X0)
      | ~ being_limit_ordinal(powerset(X1))
      | ~ ordinal(powerset(X1))
      | ~ in(X0,powerset(X1))
      | element(sK4(succ(X2)),X1)
      | ~ in(X2,succ(X0))
      | ~ ordinal(X2)
      | ~ ordinal(succ(X0)) ),
    inference(resolution,[],[f528,f1632]) ).

fof(f2185,plain,
    ! [X2,X0,X1] :
      ( ~ ordinal(X0)
      | ~ being_limit_ordinal(powerset(X1))
      | ~ ordinal(powerset(X1))
      | ~ in(X0,powerset(X1))
      | element(sK4(X2),X1)
      | ~ ordinal(X2)
      | ordinal_subset(succ(X0),X2)
      | empty(X2) ),
    inference(subsumption_resolution,[],[f2161,f180]) ).

fof(f2161,plain,
    ! [X2,X0,X1] :
      ( ~ ordinal(X0)
      | ~ being_limit_ordinal(powerset(X1))
      | ~ ordinal(powerset(X1))
      | ~ in(X0,powerset(X1))
      | element(sK4(X2),X1)
      | ~ ordinal(X2)
      | ordinal_subset(succ(X0),X2)
      | empty(X2)
      | ~ ordinal(succ(X0)) ),
    inference(resolution,[],[f528,f994]) ).

fof(f2160,plain,
    ! [X0,X1] :
      ( ~ ordinal(X0)
      | ~ being_limit_ordinal(powerset(X1))
      | ~ ordinal(powerset(X1))
      | ~ in(X0,powerset(X1))
      | element(sK4(sK4(powerset(succ(X0)))),X1)
      | empty(sK4(powerset(succ(X0)))) ),
    inference(resolution,[],[f528,f466]) ).

fof(f2184,plain,
    ! [X0,X1] :
      ( ~ ordinal(X0)
      | ~ being_limit_ordinal(powerset(X1))
      | ~ ordinal(powerset(X1))
      | ~ in(X0,powerset(X1))
      | element(sK4(succ(X0)),X1) ),
    inference(subsumption_resolution,[],[f2159,f170]) ).

fof(f2159,plain,
    ! [X0,X1] :
      ( ~ ordinal(X0)
      | ~ being_limit_ordinal(powerset(X1))
      | ~ ordinal(powerset(X1))
      | ~ in(X0,powerset(X1))
      | element(sK4(succ(X0)),X1)
      | empty(succ(X0)) ),
    inference(resolution,[],[f528,f340]) ).

fof(f2158,plain,
    ! [X0,X1] :
      ( ~ ordinal(X0)
      | ~ being_limit_ordinal(powerset(X1))
      | ~ ordinal(powerset(X1))
      | ~ in(X0,powerset(X1))
      | element(sK3(sK4(powerset(succ(X0)))),X1)
      | ~ ordinal(sK4(powerset(succ(X0))))
      | being_limit_ordinal(sK4(powerset(succ(X0)))) ),
    inference(resolution,[],[f528,f862]) ).

fof(f2183,plain,
    ! [X2,X0,X1] :
      ( ~ ordinal(X0)
      | ~ being_limit_ordinal(powerset(X1))
      | ~ ordinal(powerset(X1))
      | ~ in(X0,powerset(X1))
      | element(sK3(succ(X2)),X1)
      | ~ in(X2,succ(X0))
      | ~ ordinal(X2) ),
    inference(subsumption_resolution,[],[f2157,f180]) ).

fof(f2157,plain,
    ! [X2,X0,X1] :
      ( ~ ordinal(X0)
      | ~ being_limit_ordinal(powerset(X1))
      | ~ ordinal(powerset(X1))
      | ~ in(X0,powerset(X1))
      | element(sK3(succ(X2)),X1)
      | ~ in(X2,succ(X0))
      | ~ ordinal(X2)
      | ~ ordinal(succ(X0)) ),
    inference(resolution,[],[f528,f1627]) ).

fof(f2182,plain,
    ! [X2,X0,X1] :
      ( ~ ordinal(X0)
      | ~ being_limit_ordinal(powerset(X1))
      | ~ ordinal(powerset(X1))
      | ~ in(X0,powerset(X1))
      | element(sK3(X2),X1)
      | ~ ordinal(X2)
      | ordinal_subset(succ(X0),X2)
      | being_limit_ordinal(X2) ),
    inference(subsumption_resolution,[],[f2156,f180]) ).

fof(f2156,plain,
    ! [X2,X0,X1] :
      ( ~ ordinal(X0)
      | ~ being_limit_ordinal(powerset(X1))
      | ~ ordinal(powerset(X1))
      | ~ in(X0,powerset(X1))
      | element(sK3(X2),X1)
      | ~ ordinal(X2)
      | ordinal_subset(succ(X0),X2)
      | being_limit_ordinal(X2)
      | ~ ordinal(succ(X0)) ),
    inference(resolution,[],[f528,f999]) ).

fof(f2181,plain,
    ! [X0,X1] :
      ( ~ ordinal(X0)
      | ~ being_limit_ordinal(powerset(X1))
      | ~ ordinal(powerset(X1))
      | ~ in(X0,powerset(X1))
      | element(sK3(succ(X0)),X1) ),
    inference(subsumption_resolution,[],[f2180,f180]) ).

fof(f2180,plain,
    ! [X0,X1] :
      ( ~ ordinal(X0)
      | ~ being_limit_ordinal(powerset(X1))
      | ~ ordinal(powerset(X1))
      | ~ in(X0,powerset(X1))
      | element(sK3(succ(X0)),X1)
      | ~ ordinal(succ(X0)) ),
    inference(subsumption_resolution,[],[f2155,f546]) ).

fof(f2155,plain,
    ! [X0,X1] :
      ( ~ ordinal(X0)
      | ~ being_limit_ordinal(powerset(X1))
      | ~ ordinal(powerset(X1))
      | ~ in(X0,powerset(X1))
      | element(sK3(succ(X0)),X1)
      | being_limit_ordinal(succ(X0))
      | ~ ordinal(succ(X0)) ),
    inference(resolution,[],[f528,f183]) ).

fof(f2179,plain,
    ! [X2,X0,X1] :
      ( ~ ordinal(X0)
      | ~ being_limit_ordinal(powerset(X1))
      | ~ ordinal(powerset(X1))
      | ~ in(X0,powerset(X1))
      | element(X2,X1)
      | ~ empty(X2)
      | succ(X0) = X2 ),
    inference(subsumption_resolution,[],[f2153,f180]) ).

fof(f2153,plain,
    ! [X2,X0,X1] :
      ( ~ ordinal(X0)
      | ~ being_limit_ordinal(powerset(X1))
      | ~ ordinal(powerset(X1))
      | ~ in(X0,powerset(X1))
      | element(X2,X1)
      | ~ ordinal(succ(X0))
      | ~ empty(X2)
      | succ(X0) = X2 ),
    inference(resolution,[],[f528,f653]) ).

fof(f2178,plain,
    ! [X2,X0,X1] :
      ( ~ ordinal(X0)
      | ~ being_limit_ordinal(powerset(X1))
      | ~ ordinal(powerset(X1))
      | ~ in(X0,powerset(X1))
      | element(X2,X1)
      | in(succ(X0),X2)
      | ~ ordinal(X2)
      | succ(X0) = X2 ),
    inference(subsumption_resolution,[],[f2152,f180]) ).

fof(f2152,plain,
    ! [X2,X0,X1] :
      ( ~ ordinal(X0)
      | ~ being_limit_ordinal(powerset(X1))
      | ~ ordinal(powerset(X1))
      | ~ in(X0,powerset(X1))
      | element(X2,X1)
      | in(succ(X0),X2)
      | ~ ordinal(succ(X0))
      | ~ ordinal(X2)
      | succ(X0) = X2 ),
    inference(resolution,[],[f528,f1007]) ).

fof(f2177,plain,
    ! [X2,X0,X1] :
      ( ~ ordinal(X0)
      | ~ being_limit_ordinal(powerset(X1))
      | ~ ordinal(powerset(X1))
      | ~ in(X0,powerset(X1))
      | element(X2,X1)
      | in(succ(X0),X2)
      | ~ ordinal(X2)
      | succ(X0) = X2 ),
    inference(subsumption_resolution,[],[f2151,f180]) ).

fof(f2151,plain,
    ! [X2,X0,X1] :
      ( ~ ordinal(X0)
      | ~ being_limit_ordinal(powerset(X1))
      | ~ ordinal(powerset(X1))
      | ~ in(X0,powerset(X1))
      | element(X2,X1)
      | in(succ(X0),X2)
      | ~ ordinal(X2)
      | ~ ordinal(succ(X0))
      | succ(X0) = X2 ),
    inference(resolution,[],[f528,f1007]) ).

fof(f2163,plain,
    ! [X0,X1] :
      ( ~ ordinal(succ(sK3(succ(X0))))
      | ~ being_limit_ordinal(powerset(X1))
      | ~ ordinal(powerset(X1))
      | ~ in(succ(sK3(succ(X0))),powerset(X1))
      | element(X0,X1)
      | ~ ordinal(X0) ),
    inference(duplicate_literal_removal,[],[f2150]) ).

fof(f2150,plain,
    ! [X0,X1] :
      ( ~ ordinal(succ(sK3(succ(X0))))
      | ~ being_limit_ordinal(powerset(X1))
      | ~ ordinal(powerset(X1))
      | ~ in(succ(sK3(succ(X0))),powerset(X1))
      | element(X0,X1)
      | ~ ordinal(succ(sK3(succ(X0))))
      | ~ ordinal(X0) ),
    inference(resolution,[],[f528,f699]) ).

fof(f2176,plain,
    ! [X0,X1] :
      ( ~ being_limit_ordinal(powerset(X1))
      | ~ ordinal(powerset(X1))
      | ~ in(succ(succ(X0)),powerset(X1))
      | element(X0,X1)
      | ~ ordinal(X0) ),
    inference(global_subsumption,[],[f158,f160,f162,f166,f177,f248,f156,f159,f167,f168,f169,f219,f220,f221,f222,f223,f224,f225,f227,f228,f229,f230,f241,f242,f243,f244,f246,f170,f198,f157,f155,f171,f175,f190,f191,f192,f196,f153,f172,f178,f179,f180,f189,f259,f260,f261,f262,f199,f216,f193,f201,f202,f203,f205,f281,f206,f154,f173,f182,f200,f286,f289,f292,f285,f300,f295,f207,f213,f323,f214,f215,f324,f183,f338,f204,f340,f343,f335,f184,f212,f218,f348,f352,f354,f361,f362,f363,f364,f355,f369,f370,f373,f368,f174,f349,f350,f353,f356,f208,f209,f210,f217,f427,f428,f342,f441,f429,f347,f449,f351,f421,f460,f432,f461,f439,f450,f185,f459,f472,f471,f475,f476,f466,f492,f493,f494,f496,f501,f490,f186,f522,f181,f540,f541,f533,f535,f538,f546,f521,f337,f553,f555,f556,f423,f393,f562,f563,f489,f577,f578,f579,f580,f581,f403,f588,f589,f590,f502,f610,f611,f612,f420,f641,f642,f636,f646,f644,f649,f657,f653,f667,f651,f443,f679,f552,f686,f689,f691,f701,f693,f463,f702,f703,f704,f705,f682,f713,f707,f717,f710,f684,f724,f722,f526,f736,f733,f740,f745,f746,f719,f753,f755,f757,f750,f582,f664,f675,f765,f767,f769,f768,f390,f789,f788,f770,f771,f787,f812,f813,f814,f815,f816,f817,f818,f790,f436,f838,f635,f853,f854,f542,f856,f431,f857,f858,f859,f865,f557,f884,f885,f886,f887,f735,f893,f901,f903,f905,f897,f837,f921,f922,f923,f924,f911,f920,f919,f917,f906,f932,f931,f852,f951,f447,f957,f958,f959,f955,f956,f734,f964,f811,f891,f982,f984,f986,f988,f977,f916,f989,f990,f991,f918,f995,f996,f997,f950,f1004,f499,f1009,f1010,f1011,f1012,f500,f1037,f1038,f1039,f1040,f933,f994,f1076,f1075,f1074,f1077,f1062,f1063,f1064,f1078,f1066,f1079,f1080,f1069,f1070,f1071,f1072,f999,f1099,f1098,f1103,f1087,f1088,f1089,f1106,f1107,f1108,f1094,f1095,f1096,f1097,f1101,f1114,f1115,f1105,f1120,f1119,f1002,f1130,f1129,f1007,f1203,f1202,f1137,f1138,f1139,f1199,f1205,f1206,f1145,f1146,f1198,f1196,f1192,f1191,f1162,f1163,f1164,f1188,f1207,f1208,f1170,f1171,f1187,f1185,f645,f1215,f1217,f1212,f1055,f1252,f1250,f1256,f1248,f1257,f1258,f1230,f1259,f1237,f1261,f1262,f1263,f1264,f1243,f1255,f1266,f1270,f1271,f1272,f1268,f1274,f1283,f1276,f1277,f1284,f1278,f1285,f1279,f1253,f1295,f1296,f1293,f1289,f1298,f1308,f1309,f1310,f1303,f1059,f1323,f1324,f1325,f1317,f1318,f1319,f1084,f1338,f1340,f1332,f1333,f1341,f1222,f1366,f1363,f1367,f1368,f1369,f1370,f1371,f1352,f1235,f1373,f1374,f1388,f1390,f1391,f1392,f1393,f1394,f1395,f1379,f1396,f1397,f1381,f1398,f1382,f647,f1408,f1409,f1402,f1404,f1387,f1411,f1422,f1420,f1423,f1424,f1413,f1440,f1438,f1441,f1442,f1443,f1431,f1419,f1444,f444,f1468,f1467,f1462,f1461,f1471,f1470,f1489,f1487,f1490,f1491,f1492,f1477,f1483,f1482,f462,f1493,f1494,f1495,f1497,f1498,f1500,f1501,f1499,f1502,f1503,f1504,f1505,f1506,f1507,f1508,f1509,f1510,f1511,f468,f1513,f1512,f1514,f741,f1526,f1525,f1527,f1528,f1529,f1521,f699,f1541,f1542,f1533,f1543,f1544,f1546,f1548,f1539,f844,f1579,f1578,f1580,f1581,f1582,f1555,f1556,f1583,f1584,f1585,f1560,f1577,f1576,f1575,f1574,f1573,f1572,f1568,f1569,f1571,f845,f1612,f1613,f1611,f1610,f1609,f1592,f1608,f1607,f1606,f1615,f1616,f1617,f1620,f1604,f1622,f1619,f1623,f1624,f1625,f1621,f1628,f1629,f1630,f1627,f1659,f1658,f1661,f1662,f1641,f1642,f1643,f1663,f1664,f1646,f1665,f1649,f1650,f1656,f1652,f1654,f1632,f1692,f1691,f1694,f1695,f1674,f1675,f1676,f1696,f1697,f1679,f1698,f1682,f1683,f1689,f1685,f1687,f1637,f1712,f1713,f1714,f1705,f1706,f1707,f1708,f1709,f1670,f1728,f1729,f1730,f1721,f1722,f1723,f1724,f1725,f530,f1734,f1741,f1736,f1737,f1614,f1762,f1743,f1763,f1764,f1766,f1768,f1770,f1771,f1750,f1772,f1774,f1775,f1777,f1754,f1778,f1779,f862,f1780,f1781,f1782,f1783,f1785,f1800,f1787,f1788,f1789,f1801,f1802,f1792,f1793,f1803,f1804,f1796,f1797,f1798,f495,f1808,f1809,f1810,f1813,f715,f1871,f1872,f1869,f1818,f1819,f1821,f1823,f1824,f1873,f1825,f1826,f1874,f1875,f1868,f1876,f1867,f1877,f1878,f1879,f1835,f1866,f1880,f1881,f1864,f1840,f1841,f1843,f1845,f1846,f1847,f1848,f1882,f1883,f1863,f1884,f1862,f1885,f1886,f1887,f1857,f1861,f1860,f1890,f1891,f1904,f1901,f1905,f1906,f1893,f1924,f1922,f1925,f1926,f1913,f1914,f1915,f1903,f1951,f1952,f1954,f1958,f1960,f1961,f1962,f1963,f1939,f1964,f1966,f1968,f1942,f1969,f1970,f1928,f1900,f1973,f529,f2007,f2008,f2009,f2010,f2005,f2011,f2004,f2012,f2013,f2003,f2014,f2015,f2016,f2017,f1985,f2018,f2002,f2001,f2019,f2020,f2021,f2022,f2023,f2025,f2026,f2027,f1996,f2028,f2029,f1998,f2030,f2031,f1956,f2062,f2063,f2064,f2065,f2060,f2036,f2037,f2041,f2042,f2066,f2043,f2044,f2067,f2046,f2068,f2059,f2069,f2070,f2071,f2058,f2072,f2073,f2074,f2055,f2057,f1959,f2039,f2101,f2077,f2102,f2099,f2103,f2104,f2105,f2083,f2106,f2107,f2085,f2086,f2087,f2088,f2089,f2108,f2109,f2092,f1975,f2110,f2132,f2131,f2133,f2134,f2135,f2120,f2121,f2125,f528,f2136,f2169,f2170,f2167,f2166,f2171,f2165,f2172,f2173,f2174,f2147,f2175,f2164]) ).

fof(f2164,plain,
    ! [X0,X1] :
      ( ~ ordinal(succ(succ(X0)))
      | ~ being_limit_ordinal(powerset(X1))
      | ~ ordinal(powerset(X1))
      | ~ in(succ(succ(X0)),powerset(X1))
      | element(X0,X1)
      | ~ ordinal(X0) ),
    inference(duplicate_literal_removal,[],[f2149]) ).

fof(f2149,plain,
    ! [X0,X1] :
      ( ~ ordinal(succ(succ(X0)))
      | ~ being_limit_ordinal(powerset(X1))
      | ~ ordinal(powerset(X1))
      | ~ in(succ(succ(X0)),powerset(X1))
      | element(X0,X1)
      | ~ ordinal(succ(succ(X0)))
      | ~ ordinal(X0) ),
    inference(resolution,[],[f528,f684]) ).

fof(f2175,plain,
    ! [X0,X1] :
      ( ~ being_limit_ordinal(powerset(X1))
      | ~ ordinal(powerset(X1))
      | ~ in(succ(succ(X0)),powerset(X1))
      | element(X0,X1)
      | ~ ordinal(succ(X0)) ),
    inference(subsumption_resolution,[],[f2148,f180]) ).

fof(f2148,plain,
    ! [X0,X1] :
      ( ~ ordinal(succ(succ(X0)))
      | ~ being_limit_ordinal(powerset(X1))
      | ~ ordinal(powerset(X1))
      | ~ in(succ(succ(X0)),powerset(X1))
      | element(X0,X1)
      | ~ ordinal(succ(X0)) ),
    inference(resolution,[],[f528,f1255]) ).

fof(f2147,plain,
    ! [X0,X1] :
      ( ~ ordinal(succ(succ(X0)))
      | ~ being_limit_ordinal(powerset(X1))
      | ~ ordinal(powerset(X1))
      | ~ in(succ(succ(X0)),powerset(X1))
      | element(X0,X1)
      | ~ ordinal(X0) ),
    inference(resolution,[],[f528,f1387]) ).

fof(f2174,plain,
    ! [X2,X0,X1] :
      ( ~ being_limit_ordinal(powerset(X1))
      | ~ ordinal(powerset(X1))
      | ~ in(succ(X0),powerset(X1))
      | element(X2,X1)
      | in(X0,succ(succ(X2)))
      | ~ ordinal(X2)
      | ~ ordinal(X0) ),
    inference(subsumption_resolution,[],[f2146,f180]) ).

fof(f2146,plain,
    ! [X2,X0,X1] :
      ( ~ ordinal(succ(X0))
      | ~ being_limit_ordinal(powerset(X1))
      | ~ ordinal(powerset(X1))
      | ~ in(succ(X0),powerset(X1))
      | element(X2,X1)
      | in(X0,succ(succ(X2)))
      | ~ ordinal(X2)
      | ~ ordinal(X0) ),
    inference(resolution,[],[f528,f715]) ).

fof(f2173,plain,
    ! [X2,X0,X1] :
      ( ~ being_limit_ordinal(powerset(X1))
      | ~ ordinal(powerset(X1))
      | ~ in(succ(X0),powerset(X1))
      | element(X2,X1)
      | in(X0,succ(succ(X2)))
      | ~ ordinal(X0)
      | ~ ordinal(X2) ),
    inference(subsumption_resolution,[],[f2145,f180]) ).

fof(f2145,plain,
    ! [X2,X0,X1] :
      ( ~ ordinal(succ(X0))
      | ~ being_limit_ordinal(powerset(X1))
      | ~ ordinal(powerset(X1))
      | ~ in(succ(X0),powerset(X1))
      | element(X2,X1)
      | in(X0,succ(succ(X2)))
      | ~ ordinal(X0)
      | ~ ordinal(X2) ),
    inference(resolution,[],[f528,f715]) ).

fof(f2172,plain,
    ! [X2,X0,X1] :
      ( ~ being_limit_ordinal(powerset(X1))
      | ~ ordinal(powerset(X1))
      | ~ in(succ(X0),powerset(X1))
      | element(X2,X1)
      | ~ ordinal(X0)
      | element(X0,succ(X2))
      | ~ ordinal(X2) ),
    inference(subsumption_resolution,[],[f2144,f180]) ).

fof(f2144,plain,
    ! [X2,X0,X1] :
      ( ~ ordinal(succ(X0))
      | ~ being_limit_ordinal(powerset(X1))
      | ~ ordinal(powerset(X1))
      | ~ in(succ(X0),powerset(X1))
      | element(X2,X1)
      | ~ ordinal(X0)
      | element(X0,succ(X2))
      | ~ ordinal(X2) ),
    inference(resolution,[],[f528,f1956]) ).

fof(f2165,plain,
    ! [X0,X1] :
      ( ~ ordinal(succ(X0))
      | ~ being_limit_ordinal(powerset(X1))
      | ~ ordinal(powerset(X1))
      | ~ in(succ(X0),powerset(X1))
      | element(X0,X1)
      | ~ being_limit_ordinal(succ(X0)) ),
    inference(duplicate_literal_removal,[],[f2143]) ).

fof(f2143,plain,
    ! [X0,X1] :
      ( ~ ordinal(succ(X0))
      | ~ being_limit_ordinal(powerset(X1))
      | ~ ordinal(powerset(X1))
      | ~ in(succ(X0),powerset(X1))
      | element(X0,X1)
      | ~ ordinal(succ(X0))
      | ~ being_limit_ordinal(succ(X0)) ),
    inference(resolution,[],[f528,f1253]) ).

fof(f2171,plain,
    ! [X0,X1] :
      ( ~ being_limit_ordinal(powerset(X1))
      | ~ ordinal(powerset(X1))
      | ~ in(succ(X0),powerset(X1))
      | element(X0,X1)
      | ~ ordinal(X0) ),
    inference(subsumption_resolution,[],[f2142,f180]) ).

fof(f2142,plain,
    ! [X0,X1] :
      ( ~ ordinal(succ(X0))
      | ~ being_limit_ordinal(powerset(X1))
      | ~ ordinal(powerset(X1))
      | ~ in(succ(X0),powerset(X1))
      | element(X0,X1)
      | ~ ordinal(X0) ),
    inference(resolution,[],[f528,f1860]) ).

fof(f2166,plain,
    ! [X2,X0,X1] :
      ( ~ ordinal(X0)
      | ~ being_limit_ordinal(powerset(X1))
      | ~ ordinal(powerset(X1))
      | ~ in(X0,powerset(X1))
      | element(X2,X1)
      | in(X0,succ(X2))
      | ~ ordinal(X2) ),
    inference(duplicate_literal_removal,[],[f2141]) ).

fof(f2141,plain,
    ! [X2,X0,X1] :
      ( ~ ordinal(X0)
      | ~ being_limit_ordinal(powerset(X1))
      | ~ ordinal(powerset(X1))
      | ~ in(X0,powerset(X1))
      | element(X2,X1)
      | in(X0,succ(X2))
      | ~ ordinal(X2)
      | ~ ordinal(X0) ),
    inference(resolution,[],[f528,f552]) ).

fof(f2167,plain,
    ! [X2,X0,X1] :
      ( ~ ordinal(X0)
      | ~ being_limit_ordinal(powerset(X1))
      | ~ ordinal(powerset(X1))
      | ~ in(X0,powerset(X1))
      | element(X2,X1)
      | in(X0,succ(X2))
      | ~ ordinal(X2) ),
    inference(duplicate_literal_removal,[],[f2140]) ).

fof(f2140,plain,
    ! [X2,X0,X1] :
      ( ~ ordinal(X0)
      | ~ being_limit_ordinal(powerset(X1))
      | ~ ordinal(powerset(X1))
      | ~ in(X0,powerset(X1))
      | element(X2,X1)
      | in(X0,succ(X2))
      | ~ ordinal(X0)
      | ~ ordinal(X2) ),
    inference(resolution,[],[f528,f552]) ).

fof(f2170,plain,
    ! [X2,X0,X1] :
      ( ~ ordinal(X0)
      | ~ being_limit_ordinal(powerset(X1))
      | ~ ordinal(powerset(X1))
      | ~ in(X0,powerset(X1))
      | element(X2,X1)
      | in(X0,succ(X2))
      | ~ ordinal(X2) ),
    inference(subsumption_resolution,[],[f2138,f180]) ).

fof(f2138,plain,
    ! [X2,X0,X1] :
      ( ~ ordinal(X0)
      | ~ being_limit_ordinal(powerset(X1))
      | ~ ordinal(powerset(X1))
      | ~ in(X0,powerset(X1))
      | element(X2,X1)
      | in(X0,succ(X2))
      | ~ ordinal(X2)
      | ~ ordinal(succ(X0)) ),
    inference(resolution,[],[f528,f1055]) ).

fof(f2169,plain,
    ! [X2,X0,X1] :
      ( ~ ordinal(X0)
      | ~ being_limit_ordinal(powerset(X1))
      | ~ ordinal(powerset(X1))
      | ~ in(X0,powerset(X1))
      | element(X2,X1)
      | in(X0,succ(X2))
      | ~ ordinal(succ(X2)) ),
    inference(duplicate_literal_removal,[],[f2137]) ).

fof(f2137,plain,
    ! [X2,X0,X1] :
      ( ~ ordinal(X0)
      | ~ being_limit_ordinal(powerset(X1))
      | ~ ordinal(powerset(X1))
      | ~ in(X0,powerset(X1))
      | element(X2,X1)
      | in(X0,succ(X2))
      | ~ ordinal(X0)
      | ~ ordinal(succ(X2)) ),
    inference(resolution,[],[f528,f1055]) ).

fof(f2136,plain,
    ! [X0,X1] :
      ( ~ ordinal(X0)
      | ~ being_limit_ordinal(powerset(X1))
      | ~ ordinal(powerset(X1))
      | ~ in(X0,powerset(X1))
      | element(X0,X1) ),
    inference(resolution,[],[f528,f171]) ).

fof(f528,plain,
    ! [X2,X0,X1] :
      ( ~ in(X2,succ(X0))
      | ~ ordinal(X0)
      | ~ being_limit_ordinal(powerset(X1))
      | ~ ordinal(powerset(X1))
      | ~ in(X0,powerset(X1))
      | element(X2,X1) ),
    inference(resolution,[],[f181,f429]) ).

fof(f2125,plain,
    ! [X0,X1] :
      ( ~ being_limit_ordinal(powerset(X0))
      | ~ ordinal(powerset(X0))
      | ~ ordinal(sK4(X1))
      | ~ empty(X0)
      | ~ ordinal(X1)
      | ordinal_subset(powerset(X0),X1)
      | empty(X1) ),
    inference(duplicate_literal_removal,[],[f2122]) ).

fof(f2122,plain,
    ! [X0,X1] :
      ( ~ being_limit_ordinal(powerset(X0))
      | ~ ordinal(powerset(X0))
      | ~ ordinal(sK4(X1))
      | ~ empty(X0)
      | ~ ordinal(X1)
      | ordinal_subset(powerset(X0),X1)
      | empty(X1)
      | ~ ordinal(powerset(X0)) ),
    inference(resolution,[],[f1975,f994]) ).

fof(f2121,plain,
    ! [X0] :
      ( ~ being_limit_ordinal(powerset(X0))
      | ~ ordinal(powerset(X0))
      | ~ ordinal(sK4(sK4(powerset(powerset(X0)))))
      | ~ empty(X0)
      | empty(sK4(powerset(powerset(X0)))) ),
    inference(resolution,[],[f1975,f466]) ).

fof(f2120,plain,
    ! [X0] :
      ( ~ being_limit_ordinal(powerset(X0))
      | ~ ordinal(powerset(X0))
      | ~ ordinal(sK4(powerset(X0)))
      | ~ empty(X0)
      | empty(powerset(X0)) ),
    inference(resolution,[],[f1975,f340]) ).

fof(f2135,plain,
    ! [X0] :
      ( ~ being_limit_ordinal(powerset(X0))
      | ~ ordinal(powerset(X0))
      | ~ empty(X0)
      | ~ ordinal(sK4(powerset(powerset(X0))))
      | being_limit_ordinal(sK4(powerset(powerset(X0)))) ),
    inference(subsumption_resolution,[],[f2119,f182]) ).

fof(f2119,plain,
    ! [X0] :
      ( ~ being_limit_ordinal(powerset(X0))
      | ~ ordinal(powerset(X0))
      | ~ ordinal(sK3(sK4(powerset(powerset(X0)))))
      | ~ empty(X0)
      | ~ ordinal(sK4(powerset(powerset(X0))))
      | being_limit_ordinal(sK4(powerset(powerset(X0)))) ),
    inference(resolution,[],[f1975,f862]) ).

fof(f2134,plain,
    ! [X0,X1] :
      ( ~ being_limit_ordinal(powerset(X0))
      | ~ ordinal(powerset(X0))
      | ~ empty(X0)
      | ~ ordinal(X1)
      | ordinal_subset(powerset(X0),X1)
      | being_limit_ordinal(X1) ),
    inference(subsumption_resolution,[],[f2127,f182]) ).

fof(f2127,plain,
    ! [X0,X1] :
      ( ~ being_limit_ordinal(powerset(X0))
      | ~ ordinal(powerset(X0))
      | ~ ordinal(sK3(X1))
      | ~ empty(X0)
      | ~ ordinal(X1)
      | ordinal_subset(powerset(X0),X1)
      | being_limit_ordinal(X1) ),
    inference(duplicate_literal_removal,[],[f2117]) ).

fof(f2117,plain,
    ! [X0,X1] :
      ( ~ being_limit_ordinal(powerset(X0))
      | ~ ordinal(powerset(X0))
      | ~ ordinal(sK3(X1))
      | ~ empty(X0)
      | ~ ordinal(X1)
      | ordinal_subset(powerset(X0),X1)
      | being_limit_ordinal(X1)
      | ~ ordinal(powerset(X0)) ),
    inference(resolution,[],[f1975,f999]) ).

fof(f2131,plain,
    ! [X0,X1] :
      ( ~ being_limit_ordinal(powerset(X0))
      | ~ ordinal(powerset(X0))
      | ~ ordinal(X1)
      | ~ empty(X0)
      | in(powerset(X0),X1)
      | powerset(X0) = X1 ),
    inference(duplicate_literal_removal,[],[f2112]) ).

fof(f2112,plain,
    ! [X0,X1] :
      ( ~ being_limit_ordinal(powerset(X0))
      | ~ ordinal(powerset(X0))
      | ~ ordinal(X1)
      | ~ empty(X0)
      | in(powerset(X0),X1)
      | ~ ordinal(powerset(X0))
      | ~ ordinal(X1)
      | powerset(X0) = X1 ),
    inference(resolution,[],[f1975,f1007]) ).

fof(f2132,plain,
    ! [X0,X1] :
      ( ~ being_limit_ordinal(powerset(X0))
      | ~ ordinal(powerset(X0))
      | ~ ordinal(X1)
      | ~ empty(X0)
      | in(powerset(X0),X1)
      | powerset(X0) = X1 ),
    inference(duplicate_literal_removal,[],[f2111]) ).

fof(f2111,plain,
    ! [X0,X1] :
      ( ~ being_limit_ordinal(powerset(X0))
      | ~ ordinal(powerset(X0))
      | ~ ordinal(X1)
      | ~ empty(X0)
      | in(powerset(X0),X1)
      | ~ ordinal(X1)
      | ~ ordinal(powerset(X0))
      | powerset(X0) = X1 ),
    inference(resolution,[],[f1975,f1007]) ).

fof(f2110,plain,
    ! [X0,X1] :
      ( ~ being_limit_ordinal(powerset(X0))
      | ~ ordinal(powerset(X0))
      | ~ ordinal(X1)
      | ~ empty(X0)
      | empty(powerset(X0))
      | ~ subset(X1,X0) ),
    inference(resolution,[],[f1975,f342]) ).

fof(f1975,plain,
    ! [X0,X1] :
      ( ~ in(X0,powerset(X1))
      | ~ being_limit_ordinal(powerset(X1))
      | ~ ordinal(powerset(X1))
      | ~ ordinal(X0)
      | ~ empty(X1) ),
    inference(resolution,[],[f529,f171]) ).

fof(f2092,plain,
    ! [X0,X1] :
      ( element(X0,succ(powerset(X1)))
      | ~ ordinal(powerset(X1))
      | ~ ordinal(X0)
      | empty(powerset(X1))
      | ~ subset(succ(succ(X0)),X1) ),
    inference(resolution,[],[f2039,f342]) ).

fof(f2109,plain,
    ! [X0] :
      ( element(X0,succ(succ(succ(sK3(succ(succ(succ(X0))))))))
      | ~ ordinal(X0)
      | ~ ordinal(succ(sK3(succ(succ(succ(X0))))))
      | ~ ordinal(succ(succ(X0))) ),
    inference(subsumption_resolution,[],[f2091,f180]) ).

fof(f2091,plain,
    ! [X0] :
      ( element(X0,succ(succ(succ(sK3(succ(succ(succ(X0))))))))
      | ~ ordinal(succ(succ(sK3(succ(succ(succ(X0)))))))
      | ~ ordinal(X0)
      | ~ ordinal(succ(sK3(succ(succ(succ(X0))))))
      | ~ ordinal(succ(succ(X0))) ),
    inference(resolution,[],[f2039,f699]) ).

fof(f2108,plain,
    ! [X0] :
      ( element(X0,succ(succ(succ(succ(succ(succ(X0)))))))
      | ~ ordinal(X0)
      | ~ ordinal(succ(succ(succ(succ(X0)))))
      | ~ ordinal(succ(succ(X0))) ),
    inference(subsumption_resolution,[],[f2090,f180]) ).

fof(f2090,plain,
    ! [X0] :
      ( element(X0,succ(succ(succ(succ(succ(succ(X0)))))))
      | ~ ordinal(succ(succ(succ(succ(succ(X0))))))
      | ~ ordinal(X0)
      | ~ ordinal(succ(succ(succ(succ(X0)))))
      | ~ ordinal(succ(succ(X0))) ),
    inference(resolution,[],[f2039,f684]) ).

fof(f2089,plain,
    ! [X0] :
      ( element(X0,succ(succ(succ(succ(succ(succ(X0)))))))
      | ~ ordinal(succ(succ(succ(succ(succ(X0))))))
      | ~ ordinal(X0)
      | ~ ordinal(succ(succ(succ(X0)))) ),
    inference(resolution,[],[f2039,f1255]) ).

fof(f2088,plain,
    ! [X0] :
      ( element(X0,succ(succ(succ(succ(succ(succ(X0)))))))
      | ~ ordinal(succ(succ(succ(succ(succ(X0))))))
      | ~ ordinal(X0)
      | ~ ordinal(succ(succ(X0))) ),
    inference(resolution,[],[f2039,f1387]) ).

fof(f2087,plain,
    ! [X0,X1] :
      ( element(X0,succ(succ(succ(X1))))
      | ~ ordinal(succ(succ(X1)))
      | ~ ordinal(X0)
      | in(X1,succ(succ(succ(succ(X0)))))
      | ~ ordinal(succ(succ(X0)))
      | ~ ordinal(X1) ),
    inference(resolution,[],[f2039,f715]) ).

fof(f2086,plain,
    ! [X0,X1] :
      ( element(X0,succ(succ(succ(X1))))
      | ~ ordinal(succ(succ(X1)))
      | ~ ordinal(X0)
      | in(X1,succ(succ(succ(succ(X0)))))
      | ~ ordinal(X1)
      | ~ ordinal(succ(succ(X0))) ),
    inference(resolution,[],[f2039,f715]) ).

fof(f2085,plain,
    ! [X0,X1] :
      ( element(X0,succ(succ(succ(X1))))
      | ~ ordinal(succ(succ(X1)))
      | ~ ordinal(X0)
      | ~ ordinal(X1)
      | element(X1,succ(succ(succ(X0))))
      | ~ ordinal(succ(succ(X0))) ),
    inference(resolution,[],[f2039,f1956]) ).

fof(f2107,plain,
    ! [X0] :
      ( element(X0,succ(succ(succ(succ(succ(X0))))))
      | ~ ordinal(X0)
      | ~ ordinal(succ(succ(succ(X0))))
      | ~ being_limit_ordinal(succ(succ(succ(X0)))) ),
    inference(subsumption_resolution,[],[f2084,f180]) ).

fof(f2084,plain,
    ! [X0] :
      ( element(X0,succ(succ(succ(succ(succ(X0))))))
      | ~ ordinal(succ(succ(succ(succ(X0)))))
      | ~ ordinal(X0)
      | ~ ordinal(succ(succ(succ(X0))))
      | ~ being_limit_ordinal(succ(succ(succ(X0)))) ),
    inference(resolution,[],[f2039,f1253]) ).

fof(f2106,plain,
    ! [X0] :
      ( element(X0,succ(succ(succ(succ(succ(X0))))))
      | ~ ordinal(succ(succ(succ(succ(X0)))))
      | ~ ordinal(X0) ),
    inference(global_subsumption,[],[f158,f160,f162,f166,f177,f248,f156,f159,f167,f168,f169,f219,f220,f221,f222,f223,f224,f225,f227,f228,f229,f230,f241,f242,f243,f244,f246,f170,f198,f157,f155,f171,f175,f190,f191,f192,f196,f153,f172,f178,f179,f180,f189,f259,f260,f261,f262,f199,f216,f193,f201,f202,f203,f205,f281,f206,f154,f173,f182,f200,f286,f289,f292,f285,f300,f295,f207,f213,f323,f214,f215,f324,f183,f338,f204,f340,f343,f335,f184,f212,f218,f348,f352,f354,f361,f362,f363,f364,f355,f369,f370,f373,f368,f174,f349,f350,f353,f356,f208,f209,f210,f217,f427,f428,f342,f441,f429,f347,f449,f351,f421,f460,f432,f461,f439,f450,f185,f459,f472,f471,f475,f476,f466,f492,f493,f494,f496,f501,f490,f186,f522,f181,f528,f540,f541,f533,f535,f538,f546,f521,f337,f553,f555,f556,f423,f393,f562,f563,f489,f577,f578,f579,f580,f581,f403,f588,f589,f590,f502,f610,f611,f612,f420,f641,f642,f636,f646,f644,f649,f657,f653,f667,f651,f443,f679,f552,f686,f689,f691,f701,f693,f463,f702,f703,f704,f705,f682,f713,f707,f717,f710,f684,f724,f722,f526,f736,f733,f740,f745,f746,f719,f753,f755,f757,f750,f582,f664,f675,f765,f767,f769,f768,f390,f789,f788,f770,f771,f787,f812,f813,f814,f815,f816,f817,f818,f790,f436,f838,f635,f853,f854,f542,f856,f431,f857,f858,f859,f865,f557,f884,f885,f886,f887,f735,f893,f901,f903,f905,f897,f837,f921,f922,f923,f924,f911,f920,f919,f917,f906,f932,f931,f852,f951,f447,f957,f958,f959,f955,f956,f734,f964,f811,f891,f982,f984,f986,f988,f977,f916,f989,f990,f991,f918,f995,f996,f997,f950,f1004,f499,f1009,f1010,f1011,f1012,f500,f1037,f1038,f1039,f1040,f933,f994,f1076,f1075,f1074,f1077,f1062,f1063,f1064,f1078,f1066,f1079,f1080,f1069,f1070,f1071,f1072,f999,f1099,f1098,f1103,f1087,f1088,f1089,f1106,f1107,f1108,f1094,f1095,f1096,f1097,f1101,f1114,f1115,f1105,f1120,f1119,f1002,f1130,f1129,f1007,f1203,f1202,f1137,f1138,f1139,f1199,f1205,f1206,f1145,f1146,f1198,f1196,f1192,f1191,f1162,f1163,f1164,f1188,f1207,f1208,f1170,f1171,f1187,f1185,f645,f1215,f1217,f1212,f1055,f1252,f1250,f1256,f1248,f1257,f1258,f1230,f1259,f1237,f1261,f1262,f1263,f1264,f1243,f1255,f1266,f1270,f1271,f1272,f1268,f1274,f1283,f1276,f1277,f1284,f1278,f1285,f1279,f1253,f1295,f1296,f1293,f1289,f1298,f1308,f1309,f1310,f1303,f1059,f1323,f1324,f1325,f1317,f1318,f1319,f1084,f1338,f1340,f1332,f1333,f1341,f1222,f1366,f1363,f1367,f1368,f1369,f1370,f1371,f1352,f1235,f1373,f1374,f1388,f1390,f1391,f1392,f1393,f1394,f1395,f1379,f1396,f1397,f1381,f1398,f1382,f647,f1408,f1409,f1402,f1404,f1387,f1411,f1422,f1420,f1423,f1424,f1413,f1440,f1438,f1441,f1442,f1443,f1431,f1419,f1444,f444,f1468,f1467,f1462,f1461,f1471,f1470,f1489,f1487,f1490,f1491,f1492,f1477,f1483,f1482,f462,f1493,f1494,f1495,f1497,f1498,f1500,f1501,f1499,f1502,f1503,f1504,f1505,f1506,f1507,f1508,f1509,f1510,f1511,f468,f1513,f1512,f1514,f741,f1526,f1525,f1527,f1528,f1529,f1521,f699,f1541,f1542,f1533,f1543,f1544,f1546,f1548,f1539,f844,f1579,f1578,f1580,f1581,f1582,f1555,f1556,f1583,f1584,f1585,f1560,f1577,f1576,f1575,f1574,f1573,f1572,f1568,f1569,f1571,f845,f1612,f1613,f1611,f1610,f1609,f1592,f1608,f1607,f1606,f1615,f1616,f1617,f1620,f1604,f1622,f1619,f1623,f1624,f1625,f1621,f1628,f1629,f1630,f1627,f1659,f1658,f1661,f1662,f1641,f1642,f1643,f1663,f1664,f1646,f1665,f1649,f1650,f1656,f1652,f1654,f1632,f1692,f1691,f1694,f1695,f1674,f1675,f1676,f1696,f1697,f1679,f1698,f1682,f1683,f1689,f1685,f1687,f1637,f1712,f1713,f1714,f1705,f1706,f1707,f1708,f1709,f1670,f1728,f1729,f1730,f1721,f1722,f1723,f1724,f1725,f530,f1734,f1741,f1736,f1737,f1614,f1762,f1743,f1763,f1764,f1766,f1768,f1770,f1771,f1750,f1772,f1774,f1775,f1777,f1754,f1778,f1779,f862,f1780,f1781,f1782,f1783,f1785,f1800,f1787,f1788,f1789,f1801,f1802,f1792,f1793,f1803,f1804,f1796,f1797,f1798,f495,f1808,f1809,f1810,f1813,f715,f1871,f1872,f1869,f1818,f1819,f1821,f1823,f1824,f1873,f1825,f1826,f1874,f1875,f1868,f1876,f1867,f1877,f1878,f1879,f1835,f1866,f1880,f1881,f1864,f1840,f1841,f1843,f1845,f1846,f1847,f1848,f1882,f1883,f1863,f1884,f1862,f1885,f1886,f1887,f1857,f1861,f1860,f1890,f1891,f1904,f1901,f1905,f1906,f1893,f1924,f1922,f1925,f1926,f1913,f1914,f1915,f1903,f1951,f1952,f1954,f1958,f1960,f1961,f1962,f1963,f1939,f1964,f1966,f1968,f1942,f1969,f1970,f1928,f1900,f1973,f529,f1975,f2007,f2008,f2009,f2010,f2005,f2011,f2004,f2012,f2013,f2003,f2014,f2015,f2016,f2017,f1985,f2018,f2002,f2001,f2019,f2020,f2021,f2022,f2023,f2025,f2026,f2027,f1996,f2028,f2029,f1998,f2030,f2031,f1956,f2062,f2063,f2064,f2065,f2060,f2036,f2037,f2041,f2042,f2066,f2043,f2044,f2067,f2046,f2068,f2059,f2069,f2070,f2071,f2058,f2072,f2073,f2074,f2055,f2057,f1959,f2039,f2101,f2077,f2102,f2099,f2103,f2104,f2105,f2083]) ).

fof(f2083,plain,
    ! [X0] :
      ( element(X0,succ(succ(succ(succ(succ(X0))))))
      | ~ ordinal(succ(succ(succ(succ(X0)))))
      | ~ ordinal(X0)
      | ~ ordinal(succ(succ(X0))) ),
    inference(resolution,[],[f2039,f1860]) ).

fof(f2105,plain,
    ! [X0,X1] :
      ( element(X0,succ(succ(X1)))
      | ~ ordinal(X0)
      | in(X1,succ(succ(succ(X0))))
      | ~ ordinal(succ(succ(X0)))
      | ~ ordinal(X1) ),
    inference(subsumption_resolution,[],[f2082,f180]) ).

fof(f2082,plain,
    ! [X0,X1] :
      ( element(X0,succ(succ(X1)))
      | ~ ordinal(succ(X1))
      | ~ ordinal(X0)
      | in(X1,succ(succ(succ(X0))))
      | ~ ordinal(succ(succ(X0)))
      | ~ ordinal(X1) ),
    inference(resolution,[],[f2039,f552]) ).

fof(f2104,plain,
    ! [X0,X1] :
      ( element(X0,succ(succ(X1)))
      | ~ ordinal(X0)
      | in(X1,succ(succ(succ(X0))))
      | ~ ordinal(X1)
      | ~ ordinal(succ(succ(X0))) ),
    inference(subsumption_resolution,[],[f2081,f180]) ).

fof(f2081,plain,
    ! [X0,X1] :
      ( element(X0,succ(succ(X1)))
      | ~ ordinal(succ(X1))
      | ~ ordinal(X0)
      | in(X1,succ(succ(succ(X0))))
      | ~ ordinal(X1)
      | ~ ordinal(succ(succ(X0))) ),
    inference(resolution,[],[f2039,f552]) ).

fof(f2103,plain,
    ! [X0,X1] :
      ( element(X0,succ(succ(X1)))
      | ~ ordinal(X0)
      | ~ being_limit_ordinal(X1)
      | ~ ordinal(X1)
      | ~ in(succ(succ(X0)),X1)
      | ~ ordinal(succ(succ(X0))) ),
    inference(subsumption_resolution,[],[f2080,f180]) ).

fof(f2080,plain,
    ! [X0,X1] :
      ( element(X0,succ(succ(X1)))
      | ~ ordinal(succ(X1))
      | ~ ordinal(X0)
      | ~ being_limit_ordinal(X1)
      | ~ ordinal(X1)
      | ~ in(succ(succ(X0)),X1)
      | ~ ordinal(succ(succ(X0))) ),
    inference(resolution,[],[f2039,f735]) ).

fof(f2099,plain,
    ! [X0,X1] :
      ( element(X0,succ(succ(X1)))
      | ~ ordinal(succ(X1))
      | ~ ordinal(X0)
      | in(X1,succ(succ(succ(X0))))
      | ~ ordinal(succ(succ(X0))) ),
    inference(duplicate_literal_removal,[],[f2079]) ).

fof(f2079,plain,
    ! [X0,X1] :
      ( element(X0,succ(succ(X1)))
      | ~ ordinal(succ(X1))
      | ~ ordinal(X0)
      | in(X1,succ(succ(succ(X0))))
      | ~ ordinal(succ(succ(X0)))
      | ~ ordinal(succ(X1)) ),
    inference(resolution,[],[f2039,f1055]) ).

fof(f2102,plain,
    ! [X0,X1] :
      ( element(X0,succ(succ(X1)))
      | ~ ordinal(X0)
      | in(X1,succ(succ(succ(X0))))
      | ~ ordinal(X1)
      | ~ ordinal(succ(succ(succ(X0)))) ),
    inference(subsumption_resolution,[],[f2078,f180]) ).

fof(f2078,plain,
    ! [X0,X1] :
      ( element(X0,succ(succ(X1)))
      | ~ ordinal(succ(X1))
      | ~ ordinal(X0)
      | in(X1,succ(succ(succ(X0))))
      | ~ ordinal(X1)
      | ~ ordinal(succ(succ(succ(X0)))) ),
    inference(resolution,[],[f2039,f1055]) ).

fof(f2077,plain,
    ! [X0] :
      ( element(X0,succ(succ(succ(succ(X0)))))
      | ~ ordinal(succ(succ(succ(X0))))
      | ~ ordinal(X0) ),
    inference(resolution,[],[f2039,f171]) ).

fof(f2101,plain,
    ! [X0,X1] :
      ( element(X0,succ(X1))
      | ~ ordinal(X1)
      | ~ ordinal(X0)
      | ~ in(succ(X0),X1)
      | ~ being_limit_ordinal(X1) ),
    inference(subsumption_resolution,[],[f2100,f180]) ).

fof(f2100,plain,
    ! [X0,X1] :
      ( element(X0,succ(X1))
      | ~ ordinal(X1)
      | ~ ordinal(X0)
      | ~ in(succ(X0),X1)
      | ~ ordinal(succ(X0))
      | ~ being_limit_ordinal(X1) ),
    inference(duplicate_literal_removal,[],[f2076]) ).

fof(f2076,plain,
    ! [X0,X1] :
      ( element(X0,succ(X1))
      | ~ ordinal(X1)
      | ~ ordinal(X0)
      | ~ in(succ(X0),X1)
      | ~ ordinal(succ(X0))
      | ~ being_limit_ordinal(X1)
      | ~ ordinal(X1) ),
    inference(resolution,[],[f2039,f181]) ).

fof(f2039,plain,
    ! [X0,X1] :
      ( ~ in(succ(succ(X0)),X1)
      | element(X0,succ(X1))
      | ~ ordinal(X1)
      | ~ ordinal(X0) ),
    inference(resolution,[],[f1956,f205]) ).

fof(f1959,plain,
    ! [X0] :
      ( element(X0,succ(succ(succ(X0))))
      | ~ ordinal(succ(succ(succ(X0))))
      | ~ ordinal(X0) ),
    inference(subsumption_resolution,[],[f1934,f180]) ).

fof(f1934,plain,
    ! [X0] :
      ( element(X0,succ(succ(succ(X0))))
      | ~ ordinal(succ(succ(succ(X0))))
      | ~ ordinal(X0)
      | ~ ordinal(succ(X0)) ),
    inference(resolution,[],[f1903,f1860]) ).

fof(f2057,plain,
    ! [X0] :
      ( ~ ordinal(X0)
      | element(X0,succ(powerset(succ(succ(X0)))))
      | ~ ordinal(powerset(succ(succ(X0))))
      | ~ ordinal(succ(succ(X0)))
      | empty(powerset(succ(succ(X0)))) ),
    inference(duplicate_literal_removal,[],[f2056]) ).

fof(f2056,plain,
    ! [X0] :
      ( ~ ordinal(X0)
      | element(X0,succ(powerset(succ(succ(X0)))))
      | ~ ordinal(powerset(succ(succ(X0))))
      | ~ ordinal(succ(succ(X0)))
      | empty(powerset(succ(succ(X0))))
      | ~ ordinal(powerset(succ(succ(X0)))) ),
    inference(resolution,[],[f1956,f1470]) ).

fof(f2055,plain,
    ! [X0,X1] :
      ( ~ ordinal(X0)
      | element(X0,succ(powerset(X1)))
      | ~ ordinal(powerset(X1))
      | ~ subset(succ(succ(X0)),X1)
      | empty(powerset(X1)) ),
    inference(resolution,[],[f1956,f439]) ).

fof(f2074,plain,
    ! [X0,X1] :
      ( ~ ordinal(X0)
      | element(X0,succ(succ(succ(X1))))
      | ~ ordinal(succ(succ(X0)))
      | element(X1,succ(succ(X0)))
      | ~ ordinal(succ(X1)) ),
    inference(subsumption_resolution,[],[f2054,f180]) ).

fof(f2054,plain,
    ! [X0,X1] :
      ( ~ ordinal(X0)
      | element(X0,succ(succ(succ(X1))))
      | ~ ordinal(succ(succ(X1)))
      | ~ ordinal(succ(succ(X0)))
      | element(X1,succ(succ(X0)))
      | ~ ordinal(succ(X1)) ),
    inference(resolution,[],[f1956,f1614]) ).

fof(f2073,plain,
    ! [X0,X1] :
      ( ~ ordinal(X0)
      | element(X0,succ(succ(X1)))
      | ~ ordinal(succ(succ(X0)))
      | ~ ordinal(X1)
      | in(X1,succ(succ(succ(X0)))) ),
    inference(subsumption_resolution,[],[f2053,f180]) ).

fof(f2053,plain,
    ! [X0,X1] :
      ( ~ ordinal(X0)
      | element(X0,succ(succ(X1)))
      | ~ ordinal(succ(X1))
      | ~ ordinal(succ(succ(X0)))
      | ~ ordinal(X1)
      | in(X1,succ(succ(succ(X0)))) ),
    inference(resolution,[],[f1956,f682]) ).

fof(f2072,plain,
    ! [X0,X1] :
      ( ~ ordinal(X0)
      | element(X0,succ(succ(X1)))
      | ~ ordinal(X1)
      | ~ in(succ(succ(X0)),X1)
      | ~ ordinal(succ(succ(X0)))
      | ~ being_limit_ordinal(X1) ),
    inference(subsumption_resolution,[],[f2052,f180]) ).

fof(f2052,plain,
    ! [X0,X1] :
      ( ~ ordinal(X0)
      | element(X0,succ(succ(X1)))
      | ~ ordinal(succ(X1))
      | ~ ordinal(X1)
      | ~ in(succ(succ(X0)),X1)
      | ~ ordinal(succ(succ(X0)))
      | ~ being_limit_ordinal(X1) ),
    inference(resolution,[],[f1956,f891]) ).

fof(f2058,plain,
    ! [X0,X1] :
      ( ~ ordinal(X0)
      | element(X0,succ(succ(X1)))
      | ~ ordinal(succ(X1))
      | ~ ordinal(succ(succ(X0)))
      | in(X1,succ(succ(succ(X0)))) ),
    inference(duplicate_literal_removal,[],[f2051]) ).

fof(f2051,plain,
    ! [X0,X1] :
      ( ~ ordinal(X0)
      | element(X0,succ(succ(X1)))
      | ~ ordinal(succ(X1))
      | ~ ordinal(succ(succ(X0)))
      | ~ ordinal(succ(X1))
      | in(X1,succ(succ(succ(X0)))) ),
    inference(resolution,[],[f1956,f1222]) ).

fof(f2071,plain,
    ! [X0,X1] :
      ( ~ ordinal(X0)
      | element(X0,succ(succ(X1)))
      | ~ ordinal(X1)
      | ~ ordinal(succ(succ(succ(X0))))
      | in(X1,succ(succ(succ(X0)))) ),
    inference(subsumption_resolution,[],[f2050,f180]) ).

fof(f2050,plain,
    ! [X0,X1] :
      ( ~ ordinal(X0)
      | element(X0,succ(succ(X1)))
      | ~ ordinal(succ(X1))
      | ~ ordinal(X1)
      | ~ ordinal(succ(succ(succ(X0))))
      | in(X1,succ(succ(succ(X0)))) ),
    inference(resolution,[],[f1956,f1235]) ).

fof(f2070,plain,
    ! [X0,X1] :
      ( ~ ordinal(X0)
      | element(X0,succ(succ(X1)))
      | element(X1,succ(succ(X0)))
      | ~ ordinal(succ(succ(X0)))
      | ~ ordinal(X1) ),
    inference(subsumption_resolution,[],[f2049,f180]) ).

fof(f2049,plain,
    ! [X0,X1] :
      ( ~ ordinal(X0)
      | element(X0,succ(succ(X1)))
      | ~ ordinal(succ(X1))
      | element(X1,succ(succ(X0)))
      | ~ ordinal(succ(succ(X0)))
      | ~ ordinal(X1) ),
    inference(resolution,[],[f1956,f1903]) ).

fof(f2069,plain,
    ! [X0] :
      ( ~ ordinal(X0)
      | element(X0,succ(succ(succ(succ(succ(X0))))))
      | ~ ordinal(succ(succ(succ(succ(X0)))))
      | ~ ordinal(succ(succ(X0))) ),
    inference(global_subsumption,[],[f158,f160,f162,f166,f177,f248,f156,f159,f167,f168,f169,f219,f220,f221,f222,f223,f224,f225,f227,f228,f229,f230,f241,f242,f243,f244,f246,f170,f198,f157,f155,f171,f175,f190,f191,f192,f196,f153,f172,f178,f179,f180,f189,f259,f260,f261,f262,f199,f216,f193,f201,f202,f203,f205,f281,f206,f154,f173,f182,f200,f286,f289,f292,f285,f300,f295,f207,f213,f323,f214,f215,f324,f183,f338,f204,f340,f343,f335,f184,f212,f218,f348,f352,f354,f361,f362,f363,f364,f355,f369,f370,f373,f368,f174,f349,f350,f353,f356,f208,f209,f210,f217,f427,f428,f342,f441,f429,f347,f449,f351,f421,f460,f432,f461,f439,f450,f185,f459,f472,f471,f475,f476,f466,f492,f493,f494,f496,f501,f490,f186,f522,f181,f528,f540,f541,f533,f535,f538,f546,f521,f337,f553,f555,f556,f423,f393,f562,f563,f489,f577,f578,f579,f580,f581,f403,f588,f589,f590,f502,f610,f611,f612,f420,f641,f642,f636,f646,f644,f649,f657,f653,f667,f651,f443,f679,f552,f686,f689,f691,f701,f693,f463,f702,f703,f704,f705,f682,f713,f707,f717,f710,f684,f724,f722,f526,f736,f733,f740,f745,f746,f719,f753,f755,f757,f750,f582,f664,f675,f765,f767,f769,f768,f390,f789,f788,f770,f771,f787,f812,f813,f814,f815,f816,f817,f818,f790,f436,f838,f635,f853,f854,f542,f856,f431,f857,f858,f859,f865,f557,f884,f885,f886,f887,f735,f893,f901,f903,f905,f897,f837,f921,f922,f923,f924,f911,f920,f919,f917,f906,f932,f931,f852,f951,f447,f957,f958,f959,f955,f956,f734,f964,f811,f891,f982,f984,f986,f988,f977,f916,f989,f990,f991,f918,f995,f996,f997,f950,f1004,f499,f1009,f1010,f1011,f1012,f500,f1037,f1038,f1039,f1040,f933,f994,f1076,f1075,f1074,f1077,f1062,f1063,f1064,f1078,f1066,f1079,f1080,f1069,f1070,f1071,f1072,f999,f1099,f1098,f1103,f1087,f1088,f1089,f1106,f1107,f1108,f1094,f1095,f1096,f1097,f1101,f1114,f1115,f1105,f1120,f1119,f1002,f1130,f1129,f1007,f1203,f1202,f1137,f1138,f1139,f1199,f1205,f1206,f1145,f1146,f1198,f1196,f1192,f1191,f1162,f1163,f1164,f1188,f1207,f1208,f1170,f1171,f1187,f1185,f645,f1215,f1217,f1212,f1055,f1252,f1250,f1256,f1248,f1257,f1258,f1230,f1259,f1237,f1261,f1262,f1263,f1264,f1243,f1255,f1266,f1270,f1271,f1272,f1268,f1274,f1283,f1276,f1277,f1284,f1278,f1285,f1279,f1253,f1295,f1296,f1293,f1289,f1298,f1308,f1309,f1310,f1303,f1059,f1323,f1324,f1325,f1317,f1318,f1319,f1084,f1338,f1340,f1332,f1333,f1341,f1222,f1366,f1363,f1367,f1368,f1369,f1370,f1371,f1352,f1235,f1373,f1374,f1388,f1390,f1391,f1392,f1393,f1394,f1395,f1379,f1396,f1397,f1381,f1398,f1382,f647,f1408,f1409,f1402,f1404,f1387,f1411,f1422,f1420,f1423,f1424,f1413,f1440,f1438,f1441,f1442,f1443,f1431,f1419,f1444,f444,f1468,f1467,f1462,f1461,f1471,f1470,f1489,f1487,f1490,f1491,f1492,f1477,f1483,f1482,f462,f1493,f1494,f1495,f1497,f1498,f1500,f1501,f1499,f1502,f1503,f1504,f1505,f1506,f1507,f1508,f1509,f1510,f1511,f468,f1513,f1512,f1514,f741,f1526,f1525,f1527,f1528,f1529,f1521,f699,f1541,f1542,f1533,f1543,f1544,f1546,f1548,f1539,f844,f1579,f1578,f1580,f1581,f1582,f1555,f1556,f1583,f1584,f1585,f1560,f1577,f1576,f1575,f1574,f1573,f1572,f1568,f1569,f1571,f845,f1612,f1613,f1611,f1610,f1609,f1592,f1608,f1607,f1606,f1615,f1616,f1617,f1620,f1604,f1622,f1619,f1623,f1624,f1625,f1621,f1628,f1629,f1630,f1627,f1659,f1658,f1661,f1662,f1641,f1642,f1643,f1663,f1664,f1646,f1665,f1649,f1650,f1656,f1652,f1654,f1632,f1692,f1691,f1694,f1695,f1674,f1675,f1676,f1696,f1697,f1679,f1698,f1682,f1683,f1689,f1685,f1687,f1637,f1712,f1713,f1714,f1705,f1706,f1707,f1708,f1709,f1670,f1728,f1729,f1730,f1721,f1722,f1723,f1724,f1725,f530,f1734,f1741,f1736,f1737,f1614,f1762,f1743,f1763,f1764,f1766,f1768,f1770,f1771,f1750,f1772,f1774,f1775,f1777,f1754,f1778,f1779,f862,f1780,f1781,f1782,f1783,f1785,f1800,f1787,f1788,f1789,f1801,f1802,f1792,f1793,f1803,f1804,f1796,f1797,f1798,f495,f1808,f1809,f1810,f1813,f715,f1871,f1872,f1869,f1818,f1819,f1821,f1823,f1824,f1873,f1825,f1826,f1874,f1875,f1868,f1876,f1867,f1877,f1878,f1879,f1835,f1866,f1880,f1881,f1864,f1840,f1841,f1843,f1845,f1846,f1847,f1848,f1882,f1883,f1863,f1884,f1862,f1885,f1886,f1887,f1857,f1861,f1860,f1890,f1891,f1904,f1901,f1905,f1906,f1893,f1924,f1922,f1925,f1926,f1913,f1914,f1915,f1903,f1951,f1952,f1954,f1958,f1959,f1960,f1961,f1962,f1963,f1939,f1964,f1966,f1968,f1942,f1969,f1970,f1928,f1900,f1973,f529,f1975,f2007,f2008,f2009,f2010,f2005,f2011,f2004,f2012,f2013,f2003,f2014,f2015,f2016,f2017,f1985,f2018,f2002,f2001,f2019,f2020,f2021,f2022,f2023,f2025,f2026,f2027,f1996,f2028,f2029,f1998,f2030,f2031,f1956,f2062,f2063,f2064,f2065,f2060,f2036,f2037,f2039,f2041,f2042,f2066,f2043,f2044,f2067,f2046,f2068,f2059]) ).

fof(f2059,plain,
    ! [X0] :
      ( ~ ordinal(X0)
      | element(X0,succ(succ(succ(succ(succ(X0))))))
      | ~ ordinal(succ(succ(succ(succ(X0)))))
      | ~ being_limit_ordinal(succ(succ(X0)))
      | ~ ordinal(succ(succ(X0))) ),
    inference(duplicate_literal_removal,[],[f2048]) ).

fof(f2048,plain,
    ! [X0] :
      ( ~ ordinal(X0)
      | element(X0,succ(succ(succ(succ(succ(X0))))))
      | ~ ordinal(succ(succ(succ(succ(X0)))))
      | ~ being_limit_ordinal(succ(succ(X0)))
      | ~ ordinal(succ(succ(X0)))
      | ~ ordinal(succ(succ(succ(succ(X0))))) ),
    inference(resolution,[],[f1956,f734]) ).

fof(f2068,plain,
    ! [X0] :
      ( ~ ordinal(X0)
      | element(X0,succ(succ(succ(succ(succ(X0))))))
      | ~ being_limit_ordinal(succ(succ(succ(X0))))
      | ~ ordinal(succ(succ(succ(X0)))) ),
    inference(subsumption_resolution,[],[f2047,f180]) ).

fof(f2047,plain,
    ! [X0] :
      ( ~ ordinal(X0)
      | element(X0,succ(succ(succ(succ(succ(X0))))))
      | ~ ordinal(succ(succ(succ(succ(X0)))))
      | ~ being_limit_ordinal(succ(succ(succ(X0))))
      | ~ ordinal(succ(succ(succ(X0)))) ),
    inference(resolution,[],[f1956,f1289]) ).

fof(f2046,plain,
    ! [X0] :
      ( ~ ordinal(X0)
      | element(X0,succ(succ(succ(succ(succ(X0))))))
      | ~ ordinal(succ(succ(succ(succ(X0)))))
      | ~ ordinal(succ(succ(X0))) ),
    inference(resolution,[],[f1956,f1893]) ).

fof(f2067,plain,
    ! [X0] :
      ( ~ ordinal(X0)
      | element(X0,succ(succ(succ(succ(succ(succ(X0)))))))
      | ~ ordinal(succ(succ(X0)))
      | ~ ordinal(succ(succ(succ(succ(X0))))) ),
    inference(subsumption_resolution,[],[f2045,f180]) ).

fof(f2045,plain,
    ! [X0] :
      ( ~ ordinal(X0)
      | element(X0,succ(succ(succ(succ(succ(succ(X0)))))))
      | ~ ordinal(succ(succ(succ(succ(succ(X0))))))
      | ~ ordinal(succ(succ(X0)))
      | ~ ordinal(succ(succ(succ(succ(X0))))) ),
    inference(resolution,[],[f1956,f719]) ).

fof(f2044,plain,
    ! [X0] :
      ( ~ ordinal(X0)
      | element(X0,succ(succ(succ(succ(succ(succ(X0)))))))
      | ~ ordinal(succ(succ(succ(succ(succ(X0))))))
      | ~ ordinal(succ(succ(succ(X0)))) ),
    inference(resolution,[],[f1956,f1268]) ).

fof(f2043,plain,
    ! [X0] :
      ( ~ ordinal(X0)
      | element(X0,succ(succ(succ(succ(succ(succ(X0)))))))
      | ~ ordinal(succ(succ(succ(succ(succ(X0))))))
      | ~ ordinal(succ(succ(X0))) ),
    inference(resolution,[],[f1956,f1413]) ).

fof(f2066,plain,
    ! [X0] :
      ( ~ ordinal(X0)
      | element(X0,succ(succ(sK3(succ(succ(X0))))))
      | ~ ordinal(succ(sK3(succ(succ(X0))))) ),
    inference(global_subsumption,[],[f158,f160,f162,f166,f177,f248,f156,f159,f167,f168,f169,f219,f220,f221,f222,f223,f224,f225,f227,f228,f229,f230,f241,f242,f243,f244,f246,f170,f198,f157,f155,f171,f175,f190,f191,f192,f196,f153,f172,f178,f179,f180,f189,f259,f260,f261,f262,f199,f216,f193,f201,f202,f203,f205,f281,f206,f154,f173,f182,f200,f286,f289,f292,f285,f300,f295,f207,f213,f323,f214,f215,f324,f183,f338,f204,f340,f343,f335,f184,f212,f218,f348,f352,f354,f361,f362,f363,f364,f355,f369,f370,f373,f368,f174,f349,f350,f353,f356,f208,f209,f210,f217,f427,f428,f342,f441,f429,f347,f449,f351,f421,f460,f432,f461,f439,f450,f185,f459,f472,f471,f475,f476,f466,f492,f493,f494,f496,f501,f490,f186,f522,f181,f528,f540,f541,f533,f535,f538,f546,f521,f337,f553,f555,f556,f423,f393,f562,f563,f489,f577,f578,f579,f580,f581,f403,f588,f589,f590,f502,f610,f611,f612,f420,f641,f642,f636,f646,f644,f649,f657,f653,f667,f651,f443,f679,f552,f686,f689,f691,f701,f693,f463,f702,f703,f704,f705,f682,f713,f707,f717,f710,f684,f724,f722,f526,f736,f733,f740,f745,f746,f719,f753,f755,f757,f750,f582,f664,f675,f765,f767,f769,f768,f390,f789,f788,f770,f771,f787,f812,f813,f814,f815,f816,f817,f818,f790,f436,f838,f635,f853,f854,f542,f856,f431,f857,f858,f859,f865,f557,f884,f885,f886,f887,f735,f893,f901,f903,f905,f897,f837,f921,f922,f923,f924,f911,f920,f919,f917,f906,f932,f931,f852,f951,f447,f957,f958,f959,f955,f956,f734,f964,f811,f891,f982,f984,f986,f988,f977,f916,f989,f990,f991,f918,f995,f996,f997,f950,f1004,f499,f1009,f1010,f1011,f1012,f500,f1037,f1038,f1039,f1040,f933,f994,f1076,f1075,f1074,f1077,f1062,f1063,f1064,f1078,f1066,f1079,f1080,f1069,f1070,f1071,f1072,f999,f1099,f1098,f1103,f1087,f1088,f1089,f1106,f1107,f1108,f1094,f1095,f1096,f1097,f1101,f1114,f1115,f1105,f1120,f1119,f1002,f1130,f1129,f1007,f1203,f1202,f1137,f1138,f1139,f1199,f1205,f1206,f1145,f1146,f1198,f1196,f1192,f1191,f1162,f1163,f1164,f1188,f1207,f1208,f1170,f1171,f1187,f1185,f645,f1215,f1217,f1212,f1055,f1252,f1250,f1256,f1248,f1257,f1258,f1230,f1259,f1237,f1261,f1262,f1263,f1264,f1243,f1255,f1266,f1270,f1271,f1272,f1268,f1274,f1283,f1276,f1277,f1284,f1278,f1285,f1279,f1253,f1295,f1296,f1293,f1289,f1298,f1308,f1309,f1310,f1303,f1059,f1323,f1324,f1325,f1317,f1318,f1319,f1084,f1338,f1340,f1332,f1333,f1341,f1222,f1366,f1363,f1367,f1368,f1369,f1370,f1371,f1352,f1235,f1373,f1374,f1388,f1390,f1391,f1392,f1393,f1394,f1395,f1379,f1396,f1397,f1381,f1398,f1382,f647,f1408,f1409,f1402,f1404,f1387,f1411,f1422,f1420,f1423,f1424,f1413,f1440,f1438,f1441,f1442,f1443,f1431,f1419,f1444,f444,f1468,f1467,f1462,f1461,f1471,f1470,f1489,f1487,f1490,f1491,f1492,f1477,f1483,f1482,f462,f1493,f1494,f1495,f1497,f1498,f1500,f1501,f1499,f1502,f1503,f1504,f1505,f1506,f1507,f1508,f1509,f1510,f1511,f468,f1513,f1512,f1514,f741,f1526,f1525,f1527,f1528,f1529,f1521,f699,f1541,f1542,f1533,f1543,f1544,f1546,f1548,f1539,f844,f1579,f1578,f1580,f1581,f1582,f1555,f1556,f1583,f1584,f1585,f1560,f1577,f1576,f1575,f1574,f1573,f1572,f1568,f1569,f1571,f845,f1612,f1613,f1611,f1610,f1609,f1592,f1608,f1607,f1606,f1615,f1616,f1617,f1620,f1604,f1622,f1619,f1623,f1624,f1625,f1621,f1628,f1629,f1630,f1627,f1659,f1658,f1661,f1662,f1641,f1642,f1643,f1663,f1664,f1646,f1665,f1649,f1650,f1656,f1652,f1654,f1632,f1692,f1691,f1694,f1695,f1674,f1675,f1676,f1696,f1697,f1679,f1698,f1682,f1683,f1689,f1685,f1687,f1637,f1712,f1713,f1714,f1705,f1706,f1707,f1708,f1709,f1670,f1728,f1729,f1730,f1721,f1722,f1723,f1724,f1725,f530,f1734,f1741,f1736,f1737,f1614,f1762,f1743,f1763,f1764,f1766,f1768,f1770,f1771,f1750,f1772,f1774,f1775,f1777,f1754,f1778,f1779,f862,f1780,f1781,f1782,f1783,f1785,f1800,f1787,f1788,f1789,f1801,f1802,f1792,f1793,f1803,f1804,f1796,f1797,f1798,f495,f1808,f1809,f1810,f1813,f715,f1871,f1872,f1869,f1818,f1819,f1821,f1823,f1824,f1873,f1825,f1826,f1874,f1875,f1868,f1876,f1867,f1877,f1878,f1879,f1835,f1866,f1880,f1881,f1864,f1840,f1841,f1843,f1845,f1846,f1847,f1848,f1882,f1883,f1863,f1884,f1862,f1885,f1886,f1887,f1857,f1861,f1860,f1890,f1891,f1904,f1901,f1905,f1906,f1893,f1924,f1922,f1925,f1926,f1913,f1914,f1915,f1903,f1951,f1952,f1954,f1958,f1959,f1960,f1961,f1962,f1963,f1939,f1964,f1966,f1968,f1942,f1969,f1970,f1928,f1900,f1973,f529,f1975,f2007,f2008,f2009,f2010,f2005,f2011,f2004,f2012,f2013,f2003,f2014,f2015,f2016,f2017,f1985,f2018,f2002,f2001,f2019,f2020,f2021,f2022,f2023,f2025,f2026,f2027,f1996,f2028,f2029,f1998,f2030,f2031,f1956,f2062,f2063,f2064,f2065,f2060,f2036,f2037,f2039,f2041,f2042]) ).

fof(f2042,plain,
    ! [X0] :
      ( ~ ordinal(X0)
      | element(X0,succ(succ(sK3(succ(succ(X0))))))
      | ~ ordinal(succ(sK3(succ(succ(X0)))))
      | being_limit_ordinal(succ(succ(X0)))
      | ~ ordinal(succ(succ(X0))) ),
    inference(resolution,[],[f1956,f184]) ).

fof(f2041,plain,
    ! [X0] :
      ( ~ ordinal(X0)
      | element(X0,succ(succ(succ(succ(X0)))))
      | ~ ordinal(succ(succ(succ(X0)))) ),
    inference(resolution,[],[f1956,f281]) ).

fof(f2037,plain,
    ! [X2,X0,X1] :
      ( ~ ordinal(X0)
      | element(X0,succ(X1))
      | ~ ordinal(X1)
      | element(X1,X2)
      | ~ ordinal(X2)
      | ~ ordinal(succ(succ(X0)))
      | ordinal_subset(X2,succ(succ(X0))) ),
    inference(resolution,[],[f1956,f837]) ).

fof(f2036,plain,
    ! [X2,X0,X1] :
      ( ~ ordinal(X0)
      | element(X0,succ(X1))
      | ~ ordinal(X1)
      | element(X1,succ(X2))
      | ~ ordinal(succ(succ(X0)))
      | ~ ordinal(X2)
      | in(X2,succ(succ(X0))) ),
    inference(resolution,[],[f1956,f844]) ).

fof(f2060,plain,
    ! [X0] :
      ( ~ ordinal(X0)
      | element(X0,succ(succ(succ(X0))))
      | ~ ordinal(succ(succ(X0)))
      | ~ being_limit_ordinal(succ(succ(X0))) ),
    inference(duplicate_literal_removal,[],[f2035]) ).

fof(f2035,plain,
    ! [X0] :
      ( ~ ordinal(X0)
      | element(X0,succ(succ(succ(X0))))
      | ~ ordinal(succ(succ(X0)))
      | ~ ordinal(succ(succ(X0)))
      | ~ being_limit_ordinal(succ(succ(X0))) ),
    inference(resolution,[],[f1956,f538]) ).

fof(f2065,plain,
    ! [X0,X1] :
      ( ~ ordinal(X0)
      | element(X0,succ(X1))
      | ~ ordinal(X1)
      | ~ being_limit_ordinal(X1)
      | ~ in(succ(X0),X1) ),
    inference(subsumption_resolution,[],[f2061,f180]) ).

fof(f2061,plain,
    ! [X0,X1] :
      ( ~ ordinal(X0)
      | element(X0,succ(X1))
      | ~ ordinal(X1)
      | ~ ordinal(succ(X0))
      | ~ being_limit_ordinal(X1)
      | ~ in(succ(X0),X1) ),
    inference(duplicate_literal_removal,[],[f2034]) ).

fof(f2034,plain,
    ! [X0,X1] :
      ( ~ ordinal(X0)
      | element(X0,succ(X1))
      | ~ ordinal(X1)
      | ~ ordinal(succ(X0))
      | ~ being_limit_ordinal(X1)
      | ~ ordinal(X1)
      | ~ in(succ(X0),X1) ),
    inference(resolution,[],[f1956,f526]) ).

fof(f2064,plain,
    ! [X2,X0,X1] :
      ( ~ ordinal(X0)
      | element(X0,succ(X1))
      | ~ ordinal(X1)
      | element(X1,X2)
      | ~ ordinal(X2)
      | ~ in(succ(X0),X2) ),
    inference(subsumption_resolution,[],[f2033,f180]) ).

fof(f2033,plain,
    ! [X2,X0,X1] :
      ( ~ ordinal(X0)
      | element(X0,succ(X1))
      | ~ ordinal(X1)
      | element(X1,X2)
      | ~ ordinal(X2)
      | ~ in(succ(X0),X2)
      | ~ ordinal(succ(X0)) ),
    inference(resolution,[],[f1956,f845]) ).

fof(f2063,plain,
    ! [X2,X0] :
      ( ~ ordinal(X0)
      | ~ being_limit_ordinal(powerset(X2))
      | ~ ordinal(powerset(X2))
      | ~ in(succ(X0),powerset(X2))
      | ~ empty(X2) ),
    inference(global_subsumption,[],[f158,f160,f162,f166,f177,f248,f156,f159,f167,f168,f169,f219,f220,f221,f222,f223,f224,f225,f227,f228,f229,f230,f241,f242,f243,f244,f246,f170,f198,f157,f155,f171,f175,f190,f191,f192,f196,f153,f172,f178,f179,f180,f189,f259,f260,f261,f262,f199,f216,f193,f201,f202,f203,f205,f281,f206,f154,f173,f182,f200,f286,f289,f292,f285,f300,f295,f207,f213,f323,f214,f215,f324,f183,f338,f204,f340,f343,f335,f184,f212,f218,f348,f352,f354,f361,f362,f363,f364,f355,f369,f370,f373,f368,f174,f349,f350,f353,f356,f208,f209,f210,f217,f427,f428,f342,f441,f429,f347,f449,f351,f421,f460,f432,f461,f439,f450,f185,f459,f472,f471,f475,f476,f466,f492,f493,f494,f496,f501,f490,f186,f522,f181,f528,f540,f541,f533,f535,f538,f546,f521,f337,f553,f555,f556,f423,f393,f562,f563,f489,f577,f578,f579,f580,f581,f403,f588,f589,f590,f502,f610,f611,f612,f420,f641,f642,f636,f646,f644,f649,f657,f653,f667,f651,f443,f679,f552,f686,f689,f691,f701,f693,f463,f702,f703,f704,f705,f682,f713,f707,f717,f710,f684,f724,f722,f526,f736,f733,f740,f745,f746,f719,f753,f755,f757,f750,f582,f664,f675,f765,f767,f769,f768,f390,f789,f788,f770,f771,f787,f812,f813,f814,f815,f816,f817,f818,f790,f436,f838,f635,f853,f854,f542,f856,f431,f857,f858,f859,f865,f557,f884,f885,f886,f887,f735,f893,f901,f903,f905,f897,f837,f921,f922,f923,f924,f911,f920,f919,f917,f906,f932,f931,f852,f951,f447,f957,f958,f959,f955,f956,f734,f964,f811,f891,f982,f984,f986,f988,f977,f916,f989,f990,f991,f918,f995,f996,f997,f950,f1004,f499,f1009,f1010,f1011,f1012,f500,f1037,f1038,f1039,f1040,f933,f994,f1076,f1075,f1074,f1077,f1062,f1063,f1064,f1078,f1066,f1079,f1080,f1069,f1070,f1071,f1072,f999,f1099,f1098,f1103,f1087,f1088,f1089,f1106,f1107,f1108,f1094,f1095,f1096,f1097,f1101,f1114,f1115,f1105,f1120,f1119,f1002,f1130,f1129,f1007,f1203,f1202,f1137,f1138,f1139,f1199,f1205,f1206,f1145,f1146,f1198,f1196,f1192,f1191,f1162,f1163,f1164,f1188,f1207,f1208,f1170,f1171,f1187,f1185,f645,f1215,f1217,f1212,f1055,f1252,f1250,f1256,f1248,f1257,f1258,f1230,f1259,f1237,f1261,f1262,f1263,f1264,f1243,f1255,f1266,f1270,f1271,f1272,f1268,f1274,f1283,f1276,f1277,f1284,f1278,f1285,f1279,f1253,f1295,f1296,f1293,f1289,f1298,f1308,f1309,f1310,f1303,f1059,f1323,f1324,f1325,f1317,f1318,f1319,f1084,f1338,f1340,f1332,f1333,f1341,f1222,f1366,f1363,f1367,f1368,f1369,f1370,f1371,f1352,f1235,f1373,f1374,f1388,f1390,f1391,f1392,f1393,f1394,f1395,f1379,f1396,f1397,f1381,f1398,f1382,f647,f1408,f1409,f1402,f1404,f1387,f1411,f1422,f1420,f1423,f1424,f1413,f1440,f1438,f1441,f1442,f1443,f1431,f1419,f1444,f444,f1468,f1467,f1462,f1461,f1471,f1470,f1489,f1487,f1490,f1491,f1492,f1477,f1483,f1482,f462,f1493,f1494,f1495,f1497,f1498,f1500,f1501,f1499,f1502,f1503,f1504,f1505,f1506,f1507,f1508,f1509,f1510,f1511,f468,f1513,f1512,f1514,f741,f1526,f1525,f1527,f1528,f1529,f1521,f699,f1541,f1542,f1533,f1543,f1544,f1546,f1548,f1539,f844,f1579,f1578,f1580,f1581,f1582,f1555,f1556,f1583,f1584,f1585,f1560,f1577,f1576,f1575,f1574,f1573,f1572,f1568,f1569,f1571,f845,f1612,f1613,f1611,f1610,f1609,f1592,f1608,f1607,f1606,f1615,f1616,f1617,f1620,f1604,f1622,f1619,f1623,f1624,f1625,f1621,f1628,f1629,f1630,f1627,f1659,f1658,f1661,f1662,f1641,f1642,f1643,f1663,f1664,f1646,f1665,f1649,f1650,f1656,f1652,f1654,f1632,f1692,f1691,f1694,f1695,f1674,f1675,f1676,f1696,f1697,f1679,f1698,f1682,f1683,f1689,f1685,f1687,f1637,f1712,f1713,f1714,f1705,f1706,f1707,f1708,f1709,f1670,f1728,f1729,f1730,f1721,f1722,f1723,f1724,f1725,f530,f1734,f1741,f1736,f1737,f1614,f1762,f1743,f1763,f1764,f1766,f1768,f1770,f1771,f1750,f1772,f1774,f1775,f1777,f1754,f1778,f1779,f862,f1780,f1781,f1782,f1783,f1785,f1800,f1787,f1788,f1789,f1801,f1802,f1792,f1793,f1803,f1804,f1796,f1797,f1798,f495,f1808,f1809,f1810,f1813,f715,f1871,f1872,f1869,f1818,f1819,f1821,f1823,f1824,f1873,f1825,f1826,f1874,f1875,f1868,f1876,f1867,f1877,f1878,f1879,f1835,f1866,f1880,f1881,f1864,f1840,f1841,f1843,f1845,f1846,f1847,f1848,f1882,f1883,f1863,f1884,f1862,f1885,f1886,f1887,f1857,f1861,f1860,f1890,f1891,f1904,f1901,f1905,f1906,f1893,f1924,f1922,f1925,f1926,f1913,f1914,f1915,f1903,f1951,f1952,f1954,f1958,f1959,f1960,f1961,f1962,f1963,f1939,f1964,f1966,f1968,f1942,f1969,f1970,f1928,f1900,f1973,f529,f1975,f2007,f2008,f2009,f2010,f2005,f2011,f2004,f2012,f2013,f2003,f2014,f2015,f2016,f2017,f1985,f2018,f2002,f2001,f2019,f2020,f2021,f2022,f2023,f2025,f2026,f2027,f1996,f2028,f2029,f1998,f2030,f2031,f1956,f2062]) ).

fof(f2062,plain,
    ! [X2,X0,X1] :
      ( ~ ordinal(X0)
      | element(X0,succ(X1))
      | ~ ordinal(X1)
      | ~ being_limit_ordinal(powerset(X2))
      | ~ ordinal(powerset(X2))
      | ~ in(succ(X0),powerset(X2))
      | ~ empty(X2) ),
    inference(subsumption_resolution,[],[f2032,f180]) ).

fof(f2032,plain,
    ! [X2,X0,X1] :
      ( ~ ordinal(X0)
      | element(X0,succ(X1))
      | ~ ordinal(X1)
      | ~ ordinal(succ(X0))
      | ~ being_limit_ordinal(powerset(X2))
      | ~ ordinal(powerset(X2))
      | ~ in(succ(X0),powerset(X2))
      | ~ empty(X2) ),
    inference(resolution,[],[f1956,f529]) ).

fof(f1956,plain,
    ! [X0,X1] :
      ( in(X1,succ(succ(X0)))
      | ~ ordinal(X0)
      | element(X0,succ(X1))
      | ~ ordinal(X1) ),
    inference(subsumption_resolution,[],[f1955,f180]) ).

fof(f1955,plain,
    ! [X0,X1] :
      ( element(X0,succ(X1))
      | ~ ordinal(X0)
      | in(X1,succ(succ(X0)))
      | ~ ordinal(X1)
      | ~ ordinal(succ(X0)) ),
    inference(subsumption_resolution,[],[f1932,f180]) ).

fof(f1932,plain,
    ! [X0,X1] :
      ( element(X0,succ(X1))
      | ~ ordinal(succ(X1))
      | ~ ordinal(X0)
      | in(X1,succ(succ(X0)))
      | ~ ordinal(X1)
      | ~ ordinal(succ(X0)) ),
    inference(resolution,[],[f1903,f552]) ).

fof(f2031,plain,
    ! [X2,X0,X1] :
      ( ~ ordinal(X0)
      | ~ being_limit_ordinal(powerset(X1))
      | ~ ordinal(powerset(X1))
      | ~ in(X0,powerset(X1))
      | ~ empty(X1)
      | ~ ordinal(X2)
      | ordinal_subset(succ(X0),X2)
      | empty(X2) ),
    inference(subsumption_resolution,[],[f1999,f180]) ).

fof(f1999,plain,
    ! [X2,X0,X1] :
      ( ~ ordinal(X0)
      | ~ being_limit_ordinal(powerset(X1))
      | ~ ordinal(powerset(X1))
      | ~ in(X0,powerset(X1))
      | ~ empty(X1)
      | ~ ordinal(X2)
      | ordinal_subset(succ(X0),X2)
      | empty(X2)
      | ~ ordinal(succ(X0)) ),
    inference(resolution,[],[f529,f994]) ).

fof(f2030,plain,
    ! [X0,X1] :
      ( ~ ordinal(X0)
      | ~ being_limit_ordinal(powerset(X1))
      | ~ ordinal(powerset(X1))
      | ~ in(X0,powerset(X1))
      | ~ empty(X1) ),
    inference(global_subsumption,[],[f158,f160,f162,f166,f177,f248,f156,f159,f167,f168,f169,f219,f220,f221,f222,f223,f224,f225,f227,f228,f229,f230,f241,f242,f243,f244,f246,f170,f198,f157,f155,f171,f175,f190,f191,f192,f196,f153,f172,f178,f179,f180,f189,f259,f260,f261,f262,f199,f216,f193,f201,f202,f203,f205,f281,f206,f154,f173,f182,f200,f286,f289,f292,f285,f300,f295,f207,f213,f323,f214,f215,f324,f183,f338,f204,f340,f343,f335,f184,f212,f218,f348,f352,f354,f361,f362,f363,f364,f355,f369,f370,f373,f368,f174,f349,f350,f353,f356,f208,f209,f210,f217,f427,f428,f342,f441,f429,f347,f449,f351,f421,f460,f432,f461,f439,f450,f185,f459,f472,f471,f475,f476,f466,f492,f493,f494,f496,f501,f490,f186,f522,f181,f528,f540,f541,f533,f535,f538,f546,f521,f337,f553,f555,f556,f423,f393,f562,f563,f489,f577,f578,f579,f580,f581,f403,f588,f589,f590,f502,f610,f611,f612,f420,f641,f642,f636,f646,f644,f649,f657,f653,f667,f651,f443,f679,f552,f686,f689,f691,f701,f693,f463,f702,f703,f704,f705,f682,f713,f707,f717,f710,f684,f724,f722,f526,f736,f733,f740,f745,f746,f719,f753,f755,f757,f750,f582,f664,f675,f765,f767,f769,f768,f390,f789,f788,f770,f771,f787,f812,f813,f814,f815,f816,f817,f818,f790,f436,f838,f635,f853,f854,f542,f856,f431,f857,f858,f859,f865,f557,f884,f885,f886,f887,f735,f893,f901,f903,f905,f897,f837,f921,f922,f923,f924,f911,f920,f919,f917,f906,f932,f931,f852,f951,f447,f957,f958,f959,f955,f956,f734,f964,f811,f891,f982,f984,f986,f988,f977,f916,f989,f990,f991,f918,f995,f996,f997,f950,f1004,f499,f1009,f1010,f1011,f1012,f500,f1037,f1038,f1039,f1040,f933,f994,f1076,f1075,f1074,f1077,f1062,f1063,f1064,f1078,f1066,f1079,f1080,f1069,f1070,f1071,f1072,f999,f1099,f1098,f1103,f1087,f1088,f1089,f1106,f1107,f1108,f1094,f1095,f1096,f1097,f1101,f1114,f1115,f1105,f1120,f1119,f1002,f1130,f1129,f1007,f1203,f1202,f1137,f1138,f1139,f1199,f1205,f1206,f1145,f1146,f1198,f1196,f1192,f1191,f1162,f1163,f1164,f1188,f1207,f1208,f1170,f1171,f1187,f1185,f645,f1215,f1217,f1212,f1055,f1252,f1250,f1256,f1248,f1257,f1258,f1230,f1259,f1237,f1261,f1262,f1263,f1264,f1243,f1255,f1266,f1270,f1271,f1272,f1268,f1274,f1283,f1276,f1277,f1284,f1278,f1285,f1279,f1253,f1295,f1296,f1293,f1289,f1298,f1308,f1309,f1310,f1303,f1059,f1323,f1324,f1325,f1317,f1318,f1319,f1084,f1338,f1340,f1332,f1333,f1341,f1222,f1366,f1363,f1367,f1368,f1369,f1370,f1371,f1352,f1235,f1373,f1374,f1388,f1390,f1391,f1392,f1393,f1394,f1395,f1379,f1396,f1397,f1381,f1398,f1382,f647,f1408,f1409,f1402,f1404,f1387,f1411,f1422,f1420,f1423,f1424,f1413,f1440,f1438,f1441,f1442,f1443,f1431,f1419,f1444,f444,f1468,f1467,f1462,f1461,f1471,f1470,f1489,f1487,f1490,f1491,f1492,f1477,f1483,f1482,f462,f1493,f1494,f1495,f1497,f1498,f1500,f1501,f1499,f1502,f1503,f1504,f1505,f1506,f1507,f1508,f1509,f1510,f1511,f468,f1513,f1512,f1514,f741,f1526,f1525,f1527,f1528,f1529,f1521,f699,f1541,f1542,f1533,f1543,f1544,f1546,f1548,f1539,f844,f1579,f1578,f1580,f1581,f1582,f1555,f1556,f1583,f1584,f1585,f1560,f1577,f1576,f1575,f1574,f1573,f1572,f1568,f1569,f1571,f845,f1612,f1613,f1611,f1610,f1609,f1592,f1608,f1607,f1606,f1615,f1616,f1617,f1620,f1604,f1622,f1619,f1623,f1624,f1625,f1621,f1628,f1629,f1630,f1627,f1659,f1658,f1661,f1662,f1641,f1642,f1643,f1663,f1664,f1646,f1665,f1649,f1650,f1656,f1652,f1654,f1632,f1692,f1691,f1694,f1695,f1674,f1675,f1676,f1696,f1697,f1679,f1698,f1682,f1683,f1689,f1685,f1687,f1637,f1712,f1713,f1714,f1705,f1706,f1707,f1708,f1709,f1670,f1728,f1729,f1730,f1721,f1722,f1723,f1724,f1725,f530,f1734,f1741,f1736,f1737,f1614,f1762,f1743,f1763,f1764,f1766,f1768,f1770,f1771,f1750,f1772,f1774,f1775,f1777,f1754,f1778,f1779,f862,f1780,f1781,f1782,f1783,f1785,f1800,f1787,f1788,f1789,f1801,f1802,f1792,f1793,f1803,f1804,f1796,f1797,f1798,f495,f1808,f1809,f1810,f1813,f715,f1871,f1872,f1869,f1818,f1819,f1821,f1823,f1824,f1873,f1825,f1826,f1874,f1875,f1868,f1876,f1867,f1877,f1878,f1879,f1835,f1866,f1880,f1881,f1864,f1840,f1841,f1843,f1845,f1846,f1847,f1848,f1882,f1883,f1863,f1884,f1862,f1885,f1886,f1887,f1857,f1861,f1860,f1890,f1891,f1904,f1901,f1905,f1906,f1893,f1924,f1922,f1925,f1926,f1913,f1914,f1915,f1903,f1951,f1952,f1954,f1956,f1958,f1959,f1960,f1961,f1962,f1963,f1939,f1964,f1966,f1968,f1942,f1969,f1970,f1928,f1900,f1973,f529,f1975,f2007,f2008,f2009,f2010,f2005,f2011,f2004,f2012,f2013,f2003,f2014,f2015,f2016,f2017,f1985,f2018,f2002,f2001,f2019,f2020,f2021,f2022,f2023,f2025,f2026,f2027,f1996,f2028,f2029,f1998]) ).

fof(f1998,plain,
    ! [X0,X1] :
      ( ~ ordinal(X0)
      | ~ being_limit_ordinal(powerset(X1))
      | ~ ordinal(powerset(X1))
      | ~ in(X0,powerset(X1))
      | ~ empty(X1)
      | empty(sK4(powerset(succ(X0)))) ),
    inference(resolution,[],[f529,f466]) ).

fof(f2029,plain,
    ! [X0,X1] :
      ( ~ ordinal(X0)
      | ~ being_limit_ordinal(powerset(X1))
      | ~ ordinal(powerset(X1))
      | ~ in(X0,powerset(X1))
      | ~ empty(X1) ),
    inference(subsumption_resolution,[],[f1997,f170]) ).

fof(f1997,plain,
    ! [X0,X1] :
      ( ~ ordinal(X0)
      | ~ being_limit_ordinal(powerset(X1))
      | ~ ordinal(powerset(X1))
      | ~ in(X0,powerset(X1))
      | ~ empty(X1)
      | empty(succ(X0)) ),
    inference(resolution,[],[f529,f340]) ).

fof(f2028,plain,
    ! [X0,X1] :
      ( ~ ordinal(X0)
      | ~ being_limit_ordinal(powerset(X1))
      | ~ ordinal(powerset(X1))
      | ~ in(X0,powerset(X1))
      | ~ empty(X1) ),
    inference(global_subsumption,[],[f158,f160,f162,f166,f177,f248,f156,f159,f167,f168,f169,f219,f220,f221,f222,f223,f224,f225,f227,f228,f229,f230,f241,f242,f243,f244,f246,f170,f198,f157,f155,f171,f175,f190,f191,f192,f196,f153,f172,f178,f179,f180,f189,f259,f260,f261,f262,f199,f216,f193,f201,f202,f203,f205,f281,f206,f154,f173,f182,f200,f286,f289,f292,f285,f300,f295,f207,f213,f323,f214,f215,f324,f183,f338,f204,f340,f343,f335,f184,f212,f218,f348,f352,f354,f361,f362,f363,f364,f355,f369,f370,f373,f368,f174,f349,f350,f353,f356,f208,f209,f210,f217,f427,f428,f342,f441,f429,f347,f449,f351,f421,f460,f432,f461,f439,f450,f185,f459,f472,f471,f475,f476,f466,f492,f493,f494,f496,f501,f490,f186,f522,f181,f528,f540,f541,f533,f535,f538,f546,f521,f337,f553,f555,f556,f423,f393,f562,f563,f489,f577,f578,f579,f580,f581,f403,f588,f589,f590,f502,f610,f611,f612,f420,f641,f642,f636,f646,f644,f649,f657,f653,f667,f651,f443,f679,f552,f686,f689,f691,f701,f693,f463,f702,f703,f704,f705,f682,f713,f707,f717,f710,f684,f724,f722,f526,f736,f733,f740,f745,f746,f719,f753,f755,f757,f750,f582,f664,f675,f765,f767,f769,f768,f390,f789,f788,f770,f771,f787,f812,f813,f814,f815,f816,f817,f818,f790,f436,f838,f635,f853,f854,f542,f856,f431,f857,f858,f859,f865,f557,f884,f885,f886,f887,f735,f893,f901,f903,f905,f897,f837,f921,f922,f923,f924,f911,f920,f919,f917,f906,f932,f931,f852,f951,f447,f957,f958,f959,f955,f956,f734,f964,f811,f891,f982,f984,f986,f988,f977,f916,f989,f990,f991,f918,f995,f996,f997,f950,f1004,f499,f1009,f1010,f1011,f1012,f500,f1037,f1038,f1039,f1040,f933,f994,f1076,f1075,f1074,f1077,f1062,f1063,f1064,f1078,f1066,f1079,f1080,f1069,f1070,f1071,f1072,f999,f1099,f1098,f1103,f1087,f1088,f1089,f1106,f1107,f1108,f1094,f1095,f1096,f1097,f1101,f1114,f1115,f1105,f1120,f1119,f1002,f1130,f1129,f1007,f1203,f1202,f1137,f1138,f1139,f1199,f1205,f1206,f1145,f1146,f1198,f1196,f1192,f1191,f1162,f1163,f1164,f1188,f1207,f1208,f1170,f1171,f1187,f1185,f645,f1215,f1217,f1212,f1055,f1252,f1250,f1256,f1248,f1257,f1258,f1230,f1259,f1237,f1261,f1262,f1263,f1264,f1243,f1255,f1266,f1270,f1271,f1272,f1268,f1274,f1283,f1276,f1277,f1284,f1278,f1285,f1279,f1253,f1295,f1296,f1293,f1289,f1298,f1308,f1309,f1310,f1303,f1059,f1323,f1324,f1325,f1317,f1318,f1319,f1084,f1338,f1340,f1332,f1333,f1341,f1222,f1366,f1363,f1367,f1368,f1369,f1370,f1371,f1352,f1235,f1373,f1374,f1388,f1390,f1391,f1392,f1393,f1394,f1395,f1379,f1396,f1397,f1381,f1398,f1382,f647,f1408,f1409,f1402,f1404,f1387,f1411,f1422,f1420,f1423,f1424,f1413,f1440,f1438,f1441,f1442,f1443,f1431,f1419,f1444,f444,f1468,f1467,f1462,f1461,f1471,f1470,f1489,f1487,f1490,f1491,f1492,f1477,f1483,f1482,f462,f1493,f1494,f1495,f1497,f1498,f1500,f1501,f1499,f1502,f1503,f1504,f1505,f1506,f1507,f1508,f1509,f1510,f1511,f468,f1513,f1512,f1514,f741,f1526,f1525,f1527,f1528,f1529,f1521,f699,f1541,f1542,f1533,f1543,f1544,f1546,f1548,f1539,f844,f1579,f1578,f1580,f1581,f1582,f1555,f1556,f1583,f1584,f1585,f1560,f1577,f1576,f1575,f1574,f1573,f1572,f1568,f1569,f1571,f845,f1612,f1613,f1611,f1610,f1609,f1592,f1608,f1607,f1606,f1615,f1616,f1617,f1620,f1604,f1622,f1619,f1623,f1624,f1625,f1621,f1628,f1629,f1630,f1627,f1659,f1658,f1661,f1662,f1641,f1642,f1643,f1663,f1664,f1646,f1665,f1649,f1650,f1656,f1652,f1654,f1632,f1692,f1691,f1694,f1695,f1674,f1675,f1676,f1696,f1697,f1679,f1698,f1682,f1683,f1689,f1685,f1687,f1637,f1712,f1713,f1714,f1705,f1706,f1707,f1708,f1709,f1670,f1728,f1729,f1730,f1721,f1722,f1723,f1724,f1725,f530,f1734,f1741,f1736,f1737,f1614,f1762,f1743,f1763,f1764,f1766,f1768,f1770,f1771,f1750,f1772,f1774,f1775,f1777,f1754,f1778,f1779,f862,f1780,f1781,f1782,f1783,f1785,f1800,f1787,f1788,f1789,f1801,f1802,f1792,f1793,f1803,f1804,f1796,f1797,f1798,f495,f1808,f1809,f1810,f1813,f715,f1871,f1872,f1869,f1818,f1819,f1821,f1823,f1824,f1873,f1825,f1826,f1874,f1875,f1868,f1876,f1867,f1877,f1878,f1879,f1835,f1866,f1880,f1881,f1864,f1840,f1841,f1843,f1845,f1846,f1847,f1848,f1882,f1883,f1863,f1884,f1862,f1885,f1886,f1887,f1857,f1861,f1860,f1890,f1891,f1904,f1901,f1905,f1906,f1893,f1924,f1922,f1925,f1926,f1913,f1914,f1915,f1903,f1951,f1952,f1954,f1956,f1958,f1959,f1960,f1961,f1962,f1963,f1939,f1964,f1966,f1968,f1942,f1969,f1970,f1928,f1900,f1973,f529,f1975,f2007,f2008,f2009,f2010,f2005,f2011,f2004,f2012,f2013,f2003,f2014,f2015,f2016,f2017,f1985,f2018,f2002,f2001,f2019,f2020,f2021,f2022,f2023,f2025,f2026,f2027,f1996]) ).

fof(f1996,plain,
    ! [X0,X1] :
      ( ~ ordinal(X0)
      | ~ being_limit_ordinal(powerset(X1))
      | ~ ordinal(powerset(X1))
      | ~ in(X0,powerset(X1))
      | ~ empty(X1)
      | ~ ordinal(sK4(powerset(succ(X0))))
      | being_limit_ordinal(sK4(powerset(succ(X0)))) ),
    inference(resolution,[],[f529,f862]) ).

fof(f2027,plain,
    ! [X0,X1] :
      ( ~ ordinal(X0)
      | ~ being_limit_ordinal(powerset(X1))
      | ~ ordinal(powerset(X1))
      | ~ in(X0,powerset(X1))
      | ~ empty(X1) ),
    inference(global_subsumption,[],[f158,f160,f162,f166,f177,f248,f156,f159,f167,f168,f169,f219,f220,f221,f222,f223,f224,f225,f227,f228,f229,f230,f241,f242,f243,f244,f246,f170,f198,f157,f155,f171,f175,f190,f191,f192,f196,f153,f172,f178,f179,f180,f189,f259,f260,f261,f262,f199,f216,f193,f201,f202,f203,f205,f281,f206,f154,f173,f182,f200,f286,f289,f292,f285,f300,f295,f207,f213,f323,f214,f215,f324,f183,f338,f204,f340,f343,f335,f184,f212,f218,f348,f352,f354,f361,f362,f363,f364,f355,f369,f370,f373,f368,f174,f349,f350,f353,f356,f208,f209,f210,f217,f427,f428,f342,f441,f429,f347,f449,f351,f421,f460,f432,f461,f439,f450,f185,f459,f472,f471,f475,f476,f466,f492,f493,f494,f496,f501,f490,f186,f522,f181,f528,f540,f541,f533,f535,f538,f546,f521,f337,f553,f555,f556,f423,f393,f562,f563,f489,f577,f578,f579,f580,f581,f403,f588,f589,f590,f502,f610,f611,f612,f420,f641,f642,f636,f646,f644,f649,f657,f653,f667,f651,f443,f679,f552,f686,f689,f691,f701,f693,f463,f702,f703,f704,f705,f682,f713,f707,f717,f710,f684,f724,f722,f526,f736,f733,f740,f745,f746,f719,f753,f755,f757,f750,f582,f664,f675,f765,f767,f769,f768,f390,f789,f788,f770,f771,f787,f812,f813,f814,f815,f816,f817,f818,f790,f436,f838,f635,f853,f854,f542,f856,f431,f857,f858,f859,f865,f557,f884,f885,f886,f887,f735,f893,f901,f903,f905,f897,f837,f921,f922,f923,f924,f911,f920,f919,f917,f906,f932,f931,f852,f951,f447,f957,f958,f959,f955,f956,f734,f964,f811,f891,f982,f984,f986,f988,f977,f916,f989,f990,f991,f918,f995,f996,f997,f950,f1004,f499,f1009,f1010,f1011,f1012,f500,f1037,f1038,f1039,f1040,f933,f994,f1076,f1075,f1074,f1077,f1062,f1063,f1064,f1078,f1066,f1079,f1080,f1069,f1070,f1071,f1072,f999,f1099,f1098,f1103,f1087,f1088,f1089,f1106,f1107,f1108,f1094,f1095,f1096,f1097,f1101,f1114,f1115,f1105,f1120,f1119,f1002,f1130,f1129,f1007,f1203,f1202,f1137,f1138,f1139,f1199,f1205,f1206,f1145,f1146,f1198,f1196,f1192,f1191,f1162,f1163,f1164,f1188,f1207,f1208,f1170,f1171,f1187,f1185,f645,f1215,f1217,f1212,f1055,f1252,f1250,f1256,f1248,f1257,f1258,f1230,f1259,f1237,f1261,f1262,f1263,f1264,f1243,f1255,f1266,f1270,f1271,f1272,f1268,f1274,f1283,f1276,f1277,f1284,f1278,f1285,f1279,f1253,f1295,f1296,f1293,f1289,f1298,f1308,f1309,f1310,f1303,f1059,f1323,f1324,f1325,f1317,f1318,f1319,f1084,f1338,f1340,f1332,f1333,f1341,f1222,f1366,f1363,f1367,f1368,f1369,f1370,f1371,f1352,f1235,f1373,f1374,f1388,f1390,f1391,f1392,f1393,f1394,f1395,f1379,f1396,f1397,f1381,f1398,f1382,f647,f1408,f1409,f1402,f1404,f1387,f1411,f1422,f1420,f1423,f1424,f1413,f1440,f1438,f1441,f1442,f1443,f1431,f1419,f1444,f444,f1468,f1467,f1462,f1461,f1471,f1470,f1489,f1487,f1490,f1491,f1492,f1477,f1483,f1482,f462,f1493,f1494,f1495,f1497,f1498,f1500,f1501,f1499,f1502,f1503,f1504,f1505,f1506,f1507,f1508,f1509,f1510,f1511,f468,f1513,f1512,f1514,f741,f1526,f1525,f1527,f1528,f1529,f1521,f699,f1541,f1542,f1533,f1543,f1544,f1546,f1548,f1539,f844,f1579,f1578,f1580,f1581,f1582,f1555,f1556,f1583,f1584,f1585,f1560,f1577,f1576,f1575,f1574,f1573,f1572,f1568,f1569,f1571,f845,f1612,f1613,f1611,f1610,f1609,f1592,f1608,f1607,f1606,f1615,f1616,f1617,f1620,f1604,f1622,f1619,f1623,f1624,f1625,f1621,f1628,f1629,f1630,f1627,f1659,f1658,f1661,f1662,f1641,f1642,f1643,f1663,f1664,f1646,f1665,f1649,f1650,f1656,f1652,f1654,f1632,f1692,f1691,f1694,f1695,f1674,f1675,f1676,f1696,f1697,f1679,f1698,f1682,f1683,f1689,f1685,f1687,f1637,f1712,f1713,f1714,f1705,f1706,f1707,f1708,f1709,f1670,f1728,f1729,f1730,f1721,f1722,f1723,f1724,f1725,f530,f1734,f1741,f1736,f1737,f1614,f1762,f1743,f1763,f1764,f1766,f1768,f1770,f1771,f1750,f1772,f1774,f1775,f1777,f1754,f1778,f1779,f862,f1780,f1781,f1782,f1783,f1785,f1800,f1787,f1788,f1789,f1801,f1802,f1792,f1793,f1803,f1804,f1796,f1797,f1798,f495,f1808,f1809,f1810,f1813,f715,f1871,f1872,f1869,f1818,f1819,f1821,f1823,f1824,f1873,f1825,f1826,f1874,f1875,f1868,f1876,f1867,f1877,f1878,f1879,f1835,f1866,f1880,f1881,f1864,f1840,f1841,f1843,f1845,f1846,f1847,f1848,f1882,f1883,f1863,f1884,f1862,f1885,f1886,f1887,f1857,f1861,f1860,f1890,f1891,f1904,f1901,f1905,f1906,f1893,f1924,f1922,f1925,f1926,f1913,f1914,f1915,f1903,f1951,f1952,f1954,f1956,f1958,f1959,f1960,f1961,f1962,f1963,f1939,f1964,f1966,f1968,f1942,f1969,f1970,f1928,f1900,f1973,f529,f1975,f2007,f2008,f2009,f2010,f2005,f2011,f2004,f2012,f2013,f2003,f2014,f2015,f2016,f2017,f1985,f2018,f2002,f2001,f2019,f2020,f2021,f2022,f2023,f2025,f2026]) ).

fof(f2026,plain,
    ! [X2,X0,X1] :
      ( ~ ordinal(X0)
      | ~ being_limit_ordinal(powerset(X1))
      | ~ ordinal(powerset(X1))
      | ~ in(X0,powerset(X1))
      | ~ empty(X1)
      | ~ ordinal(X2)
      | ordinal_subset(succ(X0),X2)
      | being_limit_ordinal(X2) ),
    inference(subsumption_resolution,[],[f1994,f180]) ).

fof(f1994,plain,
    ! [X2,X0,X1] :
      ( ~ ordinal(X0)
      | ~ being_limit_ordinal(powerset(X1))
      | ~ ordinal(powerset(X1))
      | ~ in(X0,powerset(X1))
      | ~ empty(X1)
      | ~ ordinal(X2)
      | ordinal_subset(succ(X0),X2)
      | being_limit_ordinal(X2)
      | ~ ordinal(succ(X0)) ),
    inference(resolution,[],[f529,f999]) ).

fof(f2025,plain,
    ! [X0,X1] :
      ( ~ ordinal(X0)
      | ~ being_limit_ordinal(powerset(X1))
      | ~ ordinal(powerset(X1))
      | ~ in(X0,powerset(X1))
      | ~ empty(X1) ),
    inference(subsumption_resolution,[],[f2024,f180]) ).

fof(f2024,plain,
    ! [X0,X1] :
      ( ~ ordinal(X0)
      | ~ being_limit_ordinal(powerset(X1))
      | ~ ordinal(powerset(X1))
      | ~ in(X0,powerset(X1))
      | ~ empty(X1)
      | ~ ordinal(succ(X0)) ),
    inference(subsumption_resolution,[],[f1993,f546]) ).

fof(f1993,plain,
    ! [X0,X1] :
      ( ~ ordinal(X0)
      | ~ being_limit_ordinal(powerset(X1))
      | ~ ordinal(powerset(X1))
      | ~ in(X0,powerset(X1))
      | ~ empty(X1)
      | being_limit_ordinal(succ(X0))
      | ~ ordinal(succ(X0)) ),
    inference(resolution,[],[f529,f183]) ).

fof(f2023,plain,
    ! [X2,X0,X1] :
      ( ~ ordinal(X0)
      | ~ being_limit_ordinal(powerset(X1))
      | ~ ordinal(powerset(X1))
      | ~ in(X0,powerset(X1))
      | ~ empty(X1)
      | ~ empty(X2)
      | succ(X0) = X2 ),
    inference(subsumption_resolution,[],[f1991,f180]) ).

fof(f1991,plain,
    ! [X2,X0,X1] :
      ( ~ ordinal(X0)
      | ~ being_limit_ordinal(powerset(X1))
      | ~ ordinal(powerset(X1))
      | ~ in(X0,powerset(X1))
      | ~ empty(X1)
      | ~ ordinal(succ(X0))
      | ~ empty(X2)
      | succ(X0) = X2 ),
    inference(resolution,[],[f529,f653]) ).

fof(f2022,plain,
    ! [X0,X1] :
      ( ~ ordinal(X0)
      | ~ being_limit_ordinal(powerset(X1))
      | ~ ordinal(powerset(X1))
      | ~ in(X0,powerset(X1))
      | ~ empty(X1) ),
    inference(global_subsumption,[],[f158,f160,f162,f166,f177,f248,f156,f159,f167,f168,f169,f219,f220,f221,f222,f223,f224,f225,f227,f228,f229,f230,f241,f242,f243,f244,f246,f170,f198,f157,f155,f171,f175,f190,f191,f192,f196,f153,f172,f178,f179,f180,f189,f259,f260,f261,f262,f199,f216,f193,f201,f202,f203,f205,f281,f206,f154,f173,f182,f200,f286,f289,f292,f285,f300,f295,f207,f213,f323,f214,f215,f324,f183,f338,f204,f340,f343,f335,f184,f212,f218,f348,f352,f354,f361,f362,f363,f364,f355,f369,f370,f373,f368,f174,f349,f350,f353,f356,f208,f209,f210,f217,f427,f428,f342,f441,f429,f347,f449,f351,f421,f460,f432,f461,f439,f450,f185,f459,f472,f471,f475,f476,f466,f492,f493,f494,f496,f501,f490,f186,f522,f181,f528,f540,f541,f533,f535,f538,f546,f521,f337,f553,f555,f556,f423,f393,f562,f563,f489,f577,f578,f579,f580,f581,f403,f588,f589,f590,f502,f610,f611,f612,f420,f641,f642,f636,f646,f644,f649,f657,f653,f667,f651,f443,f679,f552,f686,f689,f691,f701,f693,f463,f702,f703,f704,f705,f682,f713,f707,f717,f710,f684,f724,f722,f526,f736,f733,f740,f745,f746,f719,f753,f755,f757,f750,f582,f664,f675,f765,f767,f769,f768,f390,f789,f788,f770,f771,f787,f812,f813,f814,f815,f816,f817,f818,f790,f436,f838,f635,f853,f854,f542,f856,f431,f857,f858,f859,f865,f557,f884,f885,f886,f887,f735,f893,f901,f903,f905,f897,f837,f921,f922,f923,f924,f911,f920,f919,f917,f906,f932,f931,f852,f951,f447,f957,f958,f959,f955,f956,f734,f964,f811,f891,f982,f984,f986,f988,f977,f916,f989,f990,f991,f918,f995,f996,f997,f950,f1004,f499,f1009,f1010,f1011,f1012,f500,f1037,f1038,f1039,f1040,f933,f994,f1076,f1075,f1074,f1077,f1062,f1063,f1064,f1078,f1066,f1079,f1080,f1069,f1070,f1071,f1072,f999,f1099,f1098,f1103,f1087,f1088,f1089,f1106,f1107,f1108,f1094,f1095,f1096,f1097,f1101,f1114,f1115,f1105,f1120,f1119,f1002,f1130,f1129,f1007,f1203,f1202,f1137,f1138,f1139,f1199,f1205,f1206,f1145,f1146,f1198,f1196,f1192,f1191,f1162,f1163,f1164,f1188,f1207,f1208,f1170,f1171,f1187,f1185,f645,f1215,f1217,f1212,f1055,f1252,f1250,f1256,f1248,f1257,f1258,f1230,f1259,f1237,f1261,f1262,f1263,f1264,f1243,f1255,f1266,f1270,f1271,f1272,f1268,f1274,f1283,f1276,f1277,f1284,f1278,f1285,f1279,f1253,f1295,f1296,f1293,f1289,f1298,f1308,f1309,f1310,f1303,f1059,f1323,f1324,f1325,f1317,f1318,f1319,f1084,f1338,f1340,f1332,f1333,f1341,f1222,f1366,f1363,f1367,f1368,f1369,f1370,f1371,f1352,f1235,f1373,f1374,f1388,f1390,f1391,f1392,f1393,f1394,f1395,f1379,f1396,f1397,f1381,f1398,f1382,f647,f1408,f1409,f1402,f1404,f1387,f1411,f1422,f1420,f1423,f1424,f1413,f1440,f1438,f1441,f1442,f1443,f1431,f1419,f1444,f444,f1468,f1467,f1462,f1461,f1471,f1470,f1489,f1487,f1490,f1491,f1492,f1477,f1483,f1482,f462,f1493,f1494,f1495,f1497,f1498,f1500,f1501,f1499,f1502,f1503,f1504,f1505,f1506,f1507,f1508,f1509,f1510,f1511,f468,f1513,f1512,f1514,f741,f1526,f1525,f1527,f1528,f1529,f1521,f699,f1541,f1542,f1533,f1543,f1544,f1546,f1548,f1539,f844,f1579,f1578,f1580,f1581,f1582,f1555,f1556,f1583,f1584,f1585,f1560,f1577,f1576,f1575,f1574,f1573,f1572,f1568,f1569,f1571,f845,f1612,f1613,f1611,f1610,f1609,f1592,f1608,f1607,f1606,f1615,f1616,f1617,f1620,f1604,f1622,f1619,f1623,f1624,f1625,f1621,f1628,f1629,f1630,f1627,f1659,f1658,f1661,f1662,f1641,f1642,f1643,f1663,f1664,f1646,f1665,f1649,f1650,f1656,f1652,f1654,f1632,f1692,f1691,f1694,f1695,f1674,f1675,f1676,f1696,f1697,f1679,f1698,f1682,f1683,f1689,f1685,f1687,f1637,f1712,f1713,f1714,f1705,f1706,f1707,f1708,f1709,f1670,f1728,f1729,f1730,f1721,f1722,f1723,f1724,f1725,f530,f1734,f1741,f1736,f1737,f1614,f1762,f1743,f1763,f1764,f1766,f1768,f1770,f1771,f1750,f1772,f1774,f1775,f1777,f1754,f1778,f1779,f862,f1780,f1781,f1782,f1783,f1785,f1800,f1787,f1788,f1789,f1801,f1802,f1792,f1793,f1803,f1804,f1796,f1797,f1798,f495,f1808,f1809,f1810,f1813,f715,f1871,f1872,f1869,f1818,f1819,f1821,f1823,f1824,f1873,f1825,f1826,f1874,f1875,f1868,f1876,f1867,f1877,f1878,f1879,f1835,f1866,f1880,f1881,f1864,f1840,f1841,f1843,f1845,f1846,f1847,f1848,f1882,f1883,f1863,f1884,f1862,f1885,f1886,f1887,f1857,f1861,f1860,f1890,f1891,f1904,f1901,f1905,f1906,f1893,f1924,f1922,f1925,f1926,f1913,f1914,f1915,f1903,f1951,f1952,f1954,f1956,f1958,f1959,f1960,f1961,f1962,f1963,f1939,f1964,f1966,f1968,f1942,f1969,f1970,f1928,f1900,f1973,f529,f1975,f2007,f2008,f2009,f2010,f2005,f2011,f2004,f2012,f2013,f2003,f2014,f2015,f2016,f2017,f1985,f2018,f2002,f2001,f2019,f2020,f2021]) ).

fof(f2021,plain,
    ! [X2,X0,X1] :
      ( ~ ordinal(X0)
      | ~ being_limit_ordinal(powerset(X1))
      | ~ ordinal(powerset(X1))
      | ~ in(X0,powerset(X1))
      | ~ empty(X1)
      | in(succ(X0),X2)
      | ~ ordinal(X2)
      | succ(X0) = X2 ),
    inference(subsumption_resolution,[],[f1990,f180]) ).

fof(f1990,plain,
    ! [X2,X0,X1] :
      ( ~ ordinal(X0)
      | ~ being_limit_ordinal(powerset(X1))
      | ~ ordinal(powerset(X1))
      | ~ in(X0,powerset(X1))
      | ~ empty(X1)
      | in(succ(X0),X2)
      | ~ ordinal(succ(X0))
      | ~ ordinal(X2)
      | succ(X0) = X2 ),
    inference(resolution,[],[f529,f1007]) ).

fof(f2020,plain,
    ! [X0,X1] :
      ( ~ ordinal(X0)
      | ~ being_limit_ordinal(powerset(X1))
      | ~ ordinal(powerset(X1))
      | ~ in(X0,powerset(X1))
      | ~ empty(X1) ),
    inference(global_subsumption,[],[f158,f160,f162,f166,f177,f248,f156,f159,f167,f168,f169,f219,f220,f221,f222,f223,f224,f225,f227,f228,f229,f230,f241,f242,f243,f244,f246,f170,f198,f157,f155,f171,f175,f190,f191,f192,f196,f153,f172,f178,f179,f180,f189,f259,f260,f261,f262,f199,f216,f193,f201,f202,f203,f205,f281,f206,f154,f173,f182,f200,f286,f289,f292,f285,f300,f295,f207,f213,f323,f214,f215,f324,f183,f338,f204,f340,f343,f335,f184,f212,f218,f348,f352,f354,f361,f362,f363,f364,f355,f369,f370,f373,f368,f174,f349,f350,f353,f356,f208,f209,f210,f217,f427,f428,f342,f441,f429,f347,f449,f351,f421,f460,f432,f461,f439,f450,f185,f459,f472,f471,f475,f476,f466,f492,f493,f494,f496,f501,f490,f186,f522,f181,f528,f540,f541,f533,f535,f538,f546,f521,f337,f553,f555,f556,f423,f393,f562,f563,f489,f577,f578,f579,f580,f581,f403,f588,f589,f590,f502,f610,f611,f612,f420,f641,f642,f636,f646,f644,f649,f657,f653,f667,f651,f443,f679,f552,f686,f689,f691,f701,f693,f463,f702,f703,f704,f705,f682,f713,f707,f717,f710,f684,f724,f722,f526,f736,f733,f740,f745,f746,f719,f753,f755,f757,f750,f582,f664,f675,f765,f767,f769,f768,f390,f789,f788,f770,f771,f787,f812,f813,f814,f815,f816,f817,f818,f790,f436,f838,f635,f853,f854,f542,f856,f431,f857,f858,f859,f865,f557,f884,f885,f886,f887,f735,f893,f901,f903,f905,f897,f837,f921,f922,f923,f924,f911,f920,f919,f917,f906,f932,f931,f852,f951,f447,f957,f958,f959,f955,f956,f734,f964,f811,f891,f982,f984,f986,f988,f977,f916,f989,f990,f991,f918,f995,f996,f997,f950,f1004,f499,f1009,f1010,f1011,f1012,f500,f1037,f1038,f1039,f1040,f933,f994,f1076,f1075,f1074,f1077,f1062,f1063,f1064,f1078,f1066,f1079,f1080,f1069,f1070,f1071,f1072,f999,f1099,f1098,f1103,f1087,f1088,f1089,f1106,f1107,f1108,f1094,f1095,f1096,f1097,f1101,f1114,f1115,f1105,f1120,f1119,f1002,f1130,f1129,f1007,f1203,f1202,f1137,f1138,f1139,f1199,f1205,f1206,f1145,f1146,f1198,f1196,f1192,f1191,f1162,f1163,f1164,f1188,f1207,f1208,f1170,f1171,f1187,f1185,f645,f1215,f1217,f1212,f1055,f1252,f1250,f1256,f1248,f1257,f1258,f1230,f1259,f1237,f1261,f1262,f1263,f1264,f1243,f1255,f1266,f1270,f1271,f1272,f1268,f1274,f1283,f1276,f1277,f1284,f1278,f1285,f1279,f1253,f1295,f1296,f1293,f1289,f1298,f1308,f1309,f1310,f1303,f1059,f1323,f1324,f1325,f1317,f1318,f1319,f1084,f1338,f1340,f1332,f1333,f1341,f1222,f1366,f1363,f1367,f1368,f1369,f1370,f1371,f1352,f1235,f1373,f1374,f1388,f1390,f1391,f1392,f1393,f1394,f1395,f1379,f1396,f1397,f1381,f1398,f1382,f647,f1408,f1409,f1402,f1404,f1387,f1411,f1422,f1420,f1423,f1424,f1413,f1440,f1438,f1441,f1442,f1443,f1431,f1419,f1444,f444,f1468,f1467,f1462,f1461,f1471,f1470,f1489,f1487,f1490,f1491,f1492,f1477,f1483,f1482,f462,f1493,f1494,f1495,f1497,f1498,f1500,f1501,f1499,f1502,f1503,f1504,f1505,f1506,f1507,f1508,f1509,f1510,f1511,f468,f1513,f1512,f1514,f741,f1526,f1525,f1527,f1528,f1529,f1521,f699,f1541,f1542,f1533,f1543,f1544,f1546,f1548,f1539,f844,f1579,f1578,f1580,f1581,f1582,f1555,f1556,f1583,f1584,f1585,f1560,f1577,f1576,f1575,f1574,f1573,f1572,f1568,f1569,f1571,f845,f1612,f1613,f1611,f1610,f1609,f1592,f1608,f1607,f1606,f1615,f1616,f1617,f1620,f1604,f1622,f1619,f1623,f1624,f1625,f1621,f1628,f1629,f1630,f1627,f1659,f1658,f1661,f1662,f1641,f1642,f1643,f1663,f1664,f1646,f1665,f1649,f1650,f1656,f1652,f1654,f1632,f1692,f1691,f1694,f1695,f1674,f1675,f1676,f1696,f1697,f1679,f1698,f1682,f1683,f1689,f1685,f1687,f1637,f1712,f1713,f1714,f1705,f1706,f1707,f1708,f1709,f1670,f1728,f1729,f1730,f1721,f1722,f1723,f1724,f1725,f530,f1734,f1741,f1736,f1737,f1614,f1762,f1743,f1763,f1764,f1766,f1768,f1770,f1771,f1750,f1772,f1774,f1775,f1777,f1754,f1778,f1779,f862,f1780,f1781,f1782,f1783,f1785,f1800,f1787,f1788,f1789,f1801,f1802,f1792,f1793,f1803,f1804,f1796,f1797,f1798,f495,f1808,f1809,f1810,f1813,f715,f1871,f1872,f1869,f1818,f1819,f1821,f1823,f1824,f1873,f1825,f1826,f1874,f1875,f1868,f1876,f1867,f1877,f1878,f1879,f1835,f1866,f1880,f1881,f1864,f1840,f1841,f1843,f1845,f1846,f1847,f1848,f1882,f1883,f1863,f1884,f1862,f1885,f1886,f1887,f1857,f1861,f1860,f1890,f1891,f1904,f1901,f1905,f1906,f1893,f1924,f1922,f1925,f1926,f1913,f1914,f1915,f1903,f1951,f1952,f1954,f1956,f1958,f1959,f1960,f1961,f1962,f1963,f1939,f1964,f1966,f1968,f1942,f1969,f1970,f1928,f1900,f1973,f529,f1975,f2007,f2008,f2009,f2010,f2005,f2011,f2004,f2012,f2013,f2003,f2014,f2015,f2016,f2017,f1985,f2018,f2002,f2001,f2019]) ).

fof(f2019,plain,
    ! [X2,X0,X1] :
      ( ~ ordinal(X0)
      | ~ being_limit_ordinal(powerset(X1))
      | ~ ordinal(powerset(X1))
      | ~ in(X0,powerset(X1))
      | ~ empty(X1)
      | in(succ(X0),X2)
      | ~ ordinal(X2)
      | succ(X0) = X2 ),
    inference(subsumption_resolution,[],[f1989,f180]) ).

fof(f1989,plain,
    ! [X2,X0,X1] :
      ( ~ ordinal(X0)
      | ~ being_limit_ordinal(powerset(X1))
      | ~ ordinal(powerset(X1))
      | ~ in(X0,powerset(X1))
      | ~ empty(X1)
      | in(succ(X0),X2)
      | ~ ordinal(X2)
      | ~ ordinal(succ(X0))
      | succ(X0) = X2 ),
    inference(resolution,[],[f529,f1007]) ).

fof(f2001,plain,
    ! [X0,X1] :
      ( ~ ordinal(succ(sK3(succ(X0))))
      | ~ being_limit_ordinal(powerset(X1))
      | ~ ordinal(powerset(X1))
      | ~ in(succ(sK3(succ(X0))),powerset(X1))
      | ~ empty(X1)
      | ~ ordinal(X0) ),
    inference(duplicate_literal_removal,[],[f1988]) ).

fof(f1988,plain,
    ! [X0,X1] :
      ( ~ ordinal(succ(sK3(succ(X0))))
      | ~ being_limit_ordinal(powerset(X1))
      | ~ ordinal(powerset(X1))
      | ~ in(succ(sK3(succ(X0))),powerset(X1))
      | ~ empty(X1)
      | ~ ordinal(succ(sK3(succ(X0))))
      | ~ ordinal(X0) ),
    inference(resolution,[],[f529,f699]) ).

fof(f2002,plain,
    ! [X0,X1] :
      ( ~ ordinal(succ(succ(X0)))
      | ~ being_limit_ordinal(powerset(X1))
      | ~ ordinal(powerset(X1))
      | ~ in(succ(succ(X0)),powerset(X1))
      | ~ empty(X1)
      | ~ ordinal(X0) ),
    inference(duplicate_literal_removal,[],[f1987]) ).

fof(f1987,plain,
    ! [X0,X1] :
      ( ~ ordinal(succ(succ(X0)))
      | ~ being_limit_ordinal(powerset(X1))
      | ~ ordinal(powerset(X1))
      | ~ in(succ(succ(X0)),powerset(X1))
      | ~ empty(X1)
      | ~ ordinal(succ(succ(X0)))
      | ~ ordinal(X0) ),
    inference(resolution,[],[f529,f684]) ).

fof(f2018,plain,
    ! [X0,X1] :
      ( ~ being_limit_ordinal(powerset(X1))
      | ~ ordinal(powerset(X1))
      | ~ in(succ(succ(X0)),powerset(X1))
      | ~ empty(X1)
      | ~ ordinal(succ(X0)) ),
    inference(subsumption_resolution,[],[f1986,f180]) ).

fof(f1986,plain,
    ! [X0,X1] :
      ( ~ ordinal(succ(succ(X0)))
      | ~ being_limit_ordinal(powerset(X1))
      | ~ ordinal(powerset(X1))
      | ~ in(succ(succ(X0)),powerset(X1))
      | ~ empty(X1)
      | ~ ordinal(succ(X0)) ),
    inference(resolution,[],[f529,f1255]) ).

fof(f1985,plain,
    ! [X0,X1] :
      ( ~ ordinal(succ(succ(X0)))
      | ~ being_limit_ordinal(powerset(X1))
      | ~ ordinal(powerset(X1))
      | ~ in(succ(succ(X0)),powerset(X1))
      | ~ empty(X1)
      | ~ ordinal(X0) ),
    inference(resolution,[],[f529,f1387]) ).

fof(f2017,plain,
    ! [X0,X1] :
      ( ~ being_limit_ordinal(powerset(X1))
      | ~ ordinal(powerset(X1))
      | ~ in(succ(X0),powerset(X1))
      | ~ empty(X1)
      | ~ ordinal(X0) ),
    inference(global_subsumption,[],[f158,f160,f162,f166,f177,f248,f156,f159,f167,f168,f169,f219,f220,f221,f222,f223,f224,f225,f227,f228,f229,f230,f241,f242,f243,f244,f246,f170,f198,f157,f155,f171,f175,f190,f191,f192,f196,f153,f172,f178,f179,f180,f189,f259,f260,f261,f262,f199,f216,f193,f201,f202,f203,f205,f281,f206,f154,f173,f182,f200,f286,f289,f292,f285,f300,f295,f207,f213,f323,f214,f215,f324,f183,f338,f204,f340,f343,f335,f184,f212,f218,f348,f352,f354,f361,f362,f363,f364,f355,f369,f370,f373,f368,f174,f349,f350,f353,f356,f208,f209,f210,f217,f427,f428,f342,f441,f429,f347,f449,f351,f421,f460,f432,f461,f439,f450,f185,f459,f472,f471,f475,f476,f466,f492,f493,f494,f496,f501,f490,f186,f522,f181,f528,f540,f541,f533,f535,f538,f546,f521,f337,f553,f555,f556,f423,f393,f562,f563,f489,f577,f578,f579,f580,f581,f403,f588,f589,f590,f502,f610,f611,f612,f420,f641,f642,f636,f646,f644,f649,f657,f653,f667,f651,f443,f679,f552,f686,f689,f691,f701,f693,f463,f702,f703,f704,f705,f682,f713,f707,f717,f710,f684,f724,f722,f526,f736,f733,f740,f745,f746,f719,f753,f755,f757,f750,f582,f664,f675,f765,f767,f769,f768,f390,f789,f788,f770,f771,f787,f812,f813,f814,f815,f816,f817,f818,f790,f436,f838,f635,f853,f854,f542,f856,f431,f857,f858,f859,f865,f557,f884,f885,f886,f887,f735,f893,f901,f903,f905,f897,f837,f921,f922,f923,f924,f911,f920,f919,f917,f906,f932,f931,f852,f951,f447,f957,f958,f959,f955,f956,f734,f964,f811,f891,f982,f984,f986,f988,f977,f916,f989,f990,f991,f918,f995,f996,f997,f950,f1004,f499,f1009,f1010,f1011,f1012,f500,f1037,f1038,f1039,f1040,f933,f994,f1076,f1075,f1074,f1077,f1062,f1063,f1064,f1078,f1066,f1079,f1080,f1069,f1070,f1071,f1072,f999,f1099,f1098,f1103,f1087,f1088,f1089,f1106,f1107,f1108,f1094,f1095,f1096,f1097,f1101,f1114,f1115,f1105,f1120,f1119,f1002,f1130,f1129,f1007,f1203,f1202,f1137,f1138,f1139,f1199,f1205,f1206,f1145,f1146,f1198,f1196,f1192,f1191,f1162,f1163,f1164,f1188,f1207,f1208,f1170,f1171,f1187,f1185,f645,f1215,f1217,f1212,f1055,f1252,f1250,f1256,f1248,f1257,f1258,f1230,f1259,f1237,f1261,f1262,f1263,f1264,f1243,f1255,f1266,f1270,f1271,f1272,f1268,f1274,f1283,f1276,f1277,f1284,f1278,f1285,f1279,f1253,f1295,f1296,f1293,f1289,f1298,f1308,f1309,f1310,f1303,f1059,f1323,f1324,f1325,f1317,f1318,f1319,f1084,f1338,f1340,f1332,f1333,f1341,f1222,f1366,f1363,f1367,f1368,f1369,f1370,f1371,f1352,f1235,f1373,f1374,f1388,f1390,f1391,f1392,f1393,f1394,f1395,f1379,f1396,f1397,f1381,f1398,f1382,f647,f1408,f1409,f1402,f1404,f1387,f1411,f1422,f1420,f1423,f1424,f1413,f1440,f1438,f1441,f1442,f1443,f1431,f1419,f1444,f444,f1468,f1467,f1462,f1461,f1471,f1470,f1489,f1487,f1490,f1491,f1492,f1477,f1483,f1482,f462,f1493,f1494,f1495,f1497,f1498,f1500,f1501,f1499,f1502,f1503,f1504,f1505,f1506,f1507,f1508,f1509,f1510,f1511,f468,f1513,f1512,f1514,f741,f1526,f1525,f1527,f1528,f1529,f1521,f699,f1541,f1542,f1533,f1543,f1544,f1546,f1548,f1539,f844,f1579,f1578,f1580,f1581,f1582,f1555,f1556,f1583,f1584,f1585,f1560,f1577,f1576,f1575,f1574,f1573,f1572,f1568,f1569,f1571,f845,f1612,f1613,f1611,f1610,f1609,f1592,f1608,f1607,f1606,f1615,f1616,f1617,f1620,f1604,f1622,f1619,f1623,f1624,f1625,f1621,f1628,f1629,f1630,f1627,f1659,f1658,f1661,f1662,f1641,f1642,f1643,f1663,f1664,f1646,f1665,f1649,f1650,f1656,f1652,f1654,f1632,f1692,f1691,f1694,f1695,f1674,f1675,f1676,f1696,f1697,f1679,f1698,f1682,f1683,f1689,f1685,f1687,f1637,f1712,f1713,f1714,f1705,f1706,f1707,f1708,f1709,f1670,f1728,f1729,f1730,f1721,f1722,f1723,f1724,f1725,f530,f1734,f1741,f1736,f1737,f1614,f1762,f1743,f1763,f1764,f1766,f1768,f1770,f1771,f1750,f1772,f1774,f1775,f1777,f1754,f1778,f1779,f862,f1780,f1781,f1782,f1783,f1785,f1800,f1787,f1788,f1789,f1801,f1802,f1792,f1793,f1803,f1804,f1796,f1797,f1798,f495,f1808,f1809,f1810,f1813,f715,f1871,f1872,f1869,f1818,f1819,f1821,f1823,f1824,f1873,f1825,f1826,f1874,f1875,f1868,f1876,f1867,f1877,f1878,f1879,f1835,f1866,f1880,f1881,f1864,f1840,f1841,f1843,f1845,f1846,f1847,f1848,f1882,f1883,f1863,f1884,f1862,f1885,f1886,f1887,f1857,f1861,f1860,f1890,f1891,f1904,f1901,f1905,f1906,f1893,f1924,f1922,f1925,f1926,f1913,f1914,f1915,f1903,f1951,f1952,f1954,f1956,f1958,f1959,f1960,f1961,f1962,f1963,f1939,f1964,f1966,f1968,f1942,f1969,f1970,f1928,f1900,f1973,f529,f1975,f2007,f2008,f2009,f2010,f2005,f2011,f2004,f2012,f2013,f2003,f2014,f2015,f2016]) ).

fof(f2016,plain,
    ! [X2,X0,X1] :
      ( ~ being_limit_ordinal(powerset(X1))
      | ~ ordinal(powerset(X1))
      | ~ in(succ(X0),powerset(X1))
      | ~ empty(X1)
      | in(X0,succ(succ(X2)))
      | ~ ordinal(X2)
      | ~ ordinal(X0) ),
    inference(subsumption_resolution,[],[f1984,f180]) ).

fof(f1984,plain,
    ! [X2,X0,X1] :
      ( ~ ordinal(succ(X0))
      | ~ being_limit_ordinal(powerset(X1))
      | ~ ordinal(powerset(X1))
      | ~ in(succ(X0),powerset(X1))
      | ~ empty(X1)
      | in(X0,succ(succ(X2)))
      | ~ ordinal(X2)
      | ~ ordinal(X0) ),
    inference(resolution,[],[f529,f715]) ).

fof(f2015,plain,
    ! [X0,X1] :
      ( ~ being_limit_ordinal(powerset(X1))
      | ~ ordinal(powerset(X1))
      | ~ in(succ(X0),powerset(X1))
      | ~ empty(X1)
      | ~ ordinal(X0) ),
    inference(global_subsumption,[],[f158,f160,f162,f166,f177,f248,f156,f159,f167,f168,f169,f219,f220,f221,f222,f223,f224,f225,f227,f228,f229,f230,f241,f242,f243,f244,f246,f170,f198,f157,f155,f171,f175,f190,f191,f192,f196,f153,f172,f178,f179,f180,f189,f259,f260,f261,f262,f199,f216,f193,f201,f202,f203,f205,f281,f206,f154,f173,f182,f200,f286,f289,f292,f285,f300,f295,f207,f213,f323,f214,f215,f324,f183,f338,f204,f340,f343,f335,f184,f212,f218,f348,f352,f354,f361,f362,f363,f364,f355,f369,f370,f373,f368,f174,f349,f350,f353,f356,f208,f209,f210,f217,f427,f428,f342,f441,f429,f347,f449,f351,f421,f460,f432,f461,f439,f450,f185,f459,f472,f471,f475,f476,f466,f492,f493,f494,f496,f501,f490,f186,f522,f181,f528,f540,f541,f533,f535,f538,f546,f521,f337,f553,f555,f556,f423,f393,f562,f563,f489,f577,f578,f579,f580,f581,f403,f588,f589,f590,f502,f610,f611,f612,f420,f641,f642,f636,f646,f644,f649,f657,f653,f667,f651,f443,f679,f552,f686,f689,f691,f701,f693,f463,f702,f703,f704,f705,f682,f713,f707,f717,f710,f684,f724,f722,f526,f736,f733,f740,f745,f746,f719,f753,f755,f757,f750,f582,f664,f675,f765,f767,f769,f768,f390,f789,f788,f770,f771,f787,f812,f813,f814,f815,f816,f817,f818,f790,f436,f838,f635,f853,f854,f542,f856,f431,f857,f858,f859,f865,f557,f884,f885,f886,f887,f735,f893,f901,f903,f905,f897,f837,f921,f922,f923,f924,f911,f920,f919,f917,f906,f932,f931,f852,f951,f447,f957,f958,f959,f955,f956,f734,f964,f811,f891,f982,f984,f986,f988,f977,f916,f989,f990,f991,f918,f995,f996,f997,f950,f1004,f499,f1009,f1010,f1011,f1012,f500,f1037,f1038,f1039,f1040,f933,f994,f1076,f1075,f1074,f1077,f1062,f1063,f1064,f1078,f1066,f1079,f1080,f1069,f1070,f1071,f1072,f999,f1099,f1098,f1103,f1087,f1088,f1089,f1106,f1107,f1108,f1094,f1095,f1096,f1097,f1101,f1114,f1115,f1105,f1120,f1119,f1002,f1130,f1129,f1007,f1203,f1202,f1137,f1138,f1139,f1199,f1205,f1206,f1145,f1146,f1198,f1196,f1192,f1191,f1162,f1163,f1164,f1188,f1207,f1208,f1170,f1171,f1187,f1185,f645,f1215,f1217,f1212,f1055,f1252,f1250,f1256,f1248,f1257,f1258,f1230,f1259,f1237,f1261,f1262,f1263,f1264,f1243,f1255,f1266,f1270,f1271,f1272,f1268,f1274,f1283,f1276,f1277,f1284,f1278,f1285,f1279,f1253,f1295,f1296,f1293,f1289,f1298,f1308,f1309,f1310,f1303,f1059,f1323,f1324,f1325,f1317,f1318,f1319,f1084,f1338,f1340,f1332,f1333,f1341,f1222,f1366,f1363,f1367,f1368,f1369,f1370,f1371,f1352,f1235,f1373,f1374,f1388,f1390,f1391,f1392,f1393,f1394,f1395,f1379,f1396,f1397,f1381,f1398,f1382,f647,f1408,f1409,f1402,f1404,f1387,f1411,f1422,f1420,f1423,f1424,f1413,f1440,f1438,f1441,f1442,f1443,f1431,f1419,f1444,f444,f1468,f1467,f1462,f1461,f1471,f1470,f1489,f1487,f1490,f1491,f1492,f1477,f1483,f1482,f462,f1493,f1494,f1495,f1497,f1498,f1500,f1501,f1499,f1502,f1503,f1504,f1505,f1506,f1507,f1508,f1509,f1510,f1511,f468,f1513,f1512,f1514,f741,f1526,f1525,f1527,f1528,f1529,f1521,f699,f1541,f1542,f1533,f1543,f1544,f1546,f1548,f1539,f844,f1579,f1578,f1580,f1581,f1582,f1555,f1556,f1583,f1584,f1585,f1560,f1577,f1576,f1575,f1574,f1573,f1572,f1568,f1569,f1571,f845,f1612,f1613,f1611,f1610,f1609,f1592,f1608,f1607,f1606,f1615,f1616,f1617,f1620,f1604,f1622,f1619,f1623,f1624,f1625,f1621,f1628,f1629,f1630,f1627,f1659,f1658,f1661,f1662,f1641,f1642,f1643,f1663,f1664,f1646,f1665,f1649,f1650,f1656,f1652,f1654,f1632,f1692,f1691,f1694,f1695,f1674,f1675,f1676,f1696,f1697,f1679,f1698,f1682,f1683,f1689,f1685,f1687,f1637,f1712,f1713,f1714,f1705,f1706,f1707,f1708,f1709,f1670,f1728,f1729,f1730,f1721,f1722,f1723,f1724,f1725,f530,f1734,f1741,f1736,f1737,f1614,f1762,f1743,f1763,f1764,f1766,f1768,f1770,f1771,f1750,f1772,f1774,f1775,f1777,f1754,f1778,f1779,f862,f1780,f1781,f1782,f1783,f1785,f1800,f1787,f1788,f1789,f1801,f1802,f1792,f1793,f1803,f1804,f1796,f1797,f1798,f495,f1808,f1809,f1810,f1813,f715,f1871,f1872,f1869,f1818,f1819,f1821,f1823,f1824,f1873,f1825,f1826,f1874,f1875,f1868,f1876,f1867,f1877,f1878,f1879,f1835,f1866,f1880,f1881,f1864,f1840,f1841,f1843,f1845,f1846,f1847,f1848,f1882,f1883,f1863,f1884,f1862,f1885,f1886,f1887,f1857,f1861,f1860,f1890,f1891,f1904,f1901,f1905,f1906,f1893,f1924,f1922,f1925,f1926,f1913,f1914,f1915,f1903,f1951,f1952,f1954,f1956,f1958,f1959,f1960,f1961,f1962,f1963,f1939,f1964,f1966,f1968,f1942,f1969,f1970,f1928,f1900,f1973,f529,f1975,f2007,f2008,f2009,f2010,f2005,f2011,f2004,f2012,f2013,f2003,f2014]) ).

fof(f2014,plain,
    ! [X2,X0,X1] :
      ( ~ being_limit_ordinal(powerset(X1))
      | ~ ordinal(powerset(X1))
      | ~ in(succ(X0),powerset(X1))
      | ~ empty(X1)
      | in(X0,succ(succ(X2)))
      | ~ ordinal(X0)
      | ~ ordinal(X2) ),
    inference(subsumption_resolution,[],[f1983,f180]) ).

fof(f1983,plain,
    ! [X2,X0,X1] :
      ( ~ ordinal(succ(X0))
      | ~ being_limit_ordinal(powerset(X1))
      | ~ ordinal(powerset(X1))
      | ~ in(succ(X0),powerset(X1))
      | ~ empty(X1)
      | in(X0,succ(succ(X2)))
      | ~ ordinal(X0)
      | ~ ordinal(X2) ),
    inference(resolution,[],[f529,f715]) ).

fof(f2003,plain,
    ! [X0,X1] :
      ( ~ ordinal(succ(X0))
      | ~ being_limit_ordinal(powerset(X1))
      | ~ ordinal(powerset(X1))
      | ~ in(succ(X0),powerset(X1))
      | ~ empty(X1)
      | ~ being_limit_ordinal(succ(X0)) ),
    inference(duplicate_literal_removal,[],[f1982]) ).

fof(f1982,plain,
    ! [X0,X1] :
      ( ~ ordinal(succ(X0))
      | ~ being_limit_ordinal(powerset(X1))
      | ~ ordinal(powerset(X1))
      | ~ in(succ(X0),powerset(X1))
      | ~ empty(X1)
      | ~ ordinal(succ(X0))
      | ~ being_limit_ordinal(succ(X0)) ),
    inference(resolution,[],[f529,f1253]) ).

fof(f2013,plain,
    ! [X0,X1] :
      ( ~ being_limit_ordinal(powerset(X1))
      | ~ ordinal(powerset(X1))
      | ~ in(succ(X0),powerset(X1))
      | ~ empty(X1)
      | ~ ordinal(X0) ),
    inference(subsumption_resolution,[],[f1981,f180]) ).

fof(f1981,plain,
    ! [X0,X1] :
      ( ~ ordinal(succ(X0))
      | ~ being_limit_ordinal(powerset(X1))
      | ~ ordinal(powerset(X1))
      | ~ in(succ(X0),powerset(X1))
      | ~ empty(X1)
      | ~ ordinal(X0) ),
    inference(resolution,[],[f529,f1860]) ).

fof(f2012,plain,
    ! [X0,X1] :
      ( ~ ordinal(X0)
      | ~ being_limit_ordinal(powerset(X1))
      | ~ ordinal(powerset(X1))
      | ~ in(X0,powerset(X1))
      | ~ empty(X1) ),
    inference(global_subsumption,[],[f158,f160,f162,f166,f177,f248,f156,f159,f167,f168,f169,f219,f220,f221,f222,f223,f224,f225,f227,f228,f229,f230,f241,f242,f243,f244,f246,f170,f198,f157,f155,f171,f175,f190,f191,f192,f196,f153,f172,f178,f179,f180,f189,f259,f260,f261,f262,f199,f216,f193,f201,f202,f203,f205,f281,f206,f154,f173,f182,f200,f286,f289,f292,f285,f300,f295,f207,f213,f323,f214,f215,f324,f183,f338,f204,f340,f343,f335,f184,f212,f218,f348,f352,f354,f361,f362,f363,f364,f355,f369,f370,f373,f368,f174,f349,f350,f353,f356,f208,f209,f210,f217,f427,f428,f342,f441,f429,f347,f449,f351,f421,f460,f432,f461,f439,f450,f185,f459,f472,f471,f475,f476,f466,f492,f493,f494,f496,f501,f490,f186,f522,f181,f528,f540,f541,f533,f535,f538,f546,f521,f337,f553,f555,f556,f423,f393,f562,f563,f489,f577,f578,f579,f580,f581,f403,f588,f589,f590,f502,f610,f611,f612,f420,f641,f642,f636,f646,f644,f649,f657,f653,f667,f651,f443,f679,f552,f686,f689,f691,f701,f693,f463,f702,f703,f704,f705,f682,f713,f707,f717,f710,f684,f724,f722,f526,f736,f733,f740,f745,f746,f719,f753,f755,f757,f750,f582,f664,f675,f765,f767,f769,f768,f390,f789,f788,f770,f771,f787,f812,f813,f814,f815,f816,f817,f818,f790,f436,f838,f635,f853,f854,f542,f856,f431,f857,f858,f859,f865,f557,f884,f885,f886,f887,f735,f893,f901,f903,f905,f897,f837,f921,f922,f923,f924,f911,f920,f919,f917,f906,f932,f931,f852,f951,f447,f957,f958,f959,f955,f956,f734,f964,f811,f891,f982,f984,f986,f988,f977,f916,f989,f990,f991,f918,f995,f996,f997,f950,f1004,f499,f1009,f1010,f1011,f1012,f500,f1037,f1038,f1039,f1040,f933,f994,f1076,f1075,f1074,f1077,f1062,f1063,f1064,f1078,f1066,f1079,f1080,f1069,f1070,f1071,f1072,f999,f1099,f1098,f1103,f1087,f1088,f1089,f1106,f1107,f1108,f1094,f1095,f1096,f1097,f1101,f1114,f1115,f1105,f1120,f1119,f1002,f1130,f1129,f1007,f1203,f1202,f1137,f1138,f1139,f1199,f1205,f1206,f1145,f1146,f1198,f1196,f1192,f1191,f1162,f1163,f1164,f1188,f1207,f1208,f1170,f1171,f1187,f1185,f645,f1215,f1217,f1212,f1055,f1252,f1250,f1256,f1248,f1257,f1258,f1230,f1259,f1237,f1261,f1262,f1263,f1264,f1243,f1255,f1266,f1270,f1271,f1272,f1268,f1274,f1283,f1276,f1277,f1284,f1278,f1285,f1279,f1253,f1295,f1296,f1293,f1289,f1298,f1308,f1309,f1310,f1303,f1059,f1323,f1324,f1325,f1317,f1318,f1319,f1084,f1338,f1340,f1332,f1333,f1341,f1222,f1366,f1363,f1367,f1368,f1369,f1370,f1371,f1352,f1235,f1373,f1374,f1388,f1390,f1391,f1392,f1393,f1394,f1395,f1379,f1396,f1397,f1381,f1398,f1382,f647,f1408,f1409,f1402,f1404,f1387,f1411,f1422,f1420,f1423,f1424,f1413,f1440,f1438,f1441,f1442,f1443,f1431,f1419,f1444,f444,f1468,f1467,f1462,f1461,f1471,f1470,f1489,f1487,f1490,f1491,f1492,f1477,f1483,f1482,f462,f1493,f1494,f1495,f1497,f1498,f1500,f1501,f1499,f1502,f1503,f1504,f1505,f1506,f1507,f1508,f1509,f1510,f1511,f468,f1513,f1512,f1514,f741,f1526,f1525,f1527,f1528,f1529,f1521,f699,f1541,f1542,f1533,f1543,f1544,f1546,f1548,f1539,f844,f1579,f1578,f1580,f1581,f1582,f1555,f1556,f1583,f1584,f1585,f1560,f1577,f1576,f1575,f1574,f1573,f1572,f1568,f1569,f1571,f845,f1612,f1613,f1611,f1610,f1609,f1592,f1608,f1607,f1606,f1615,f1616,f1617,f1620,f1604,f1622,f1619,f1623,f1624,f1625,f1621,f1628,f1629,f1630,f1627,f1659,f1658,f1661,f1662,f1641,f1642,f1643,f1663,f1664,f1646,f1665,f1649,f1650,f1656,f1652,f1654,f1632,f1692,f1691,f1694,f1695,f1674,f1675,f1676,f1696,f1697,f1679,f1698,f1682,f1683,f1689,f1685,f1687,f1637,f1712,f1713,f1714,f1705,f1706,f1707,f1708,f1709,f1670,f1728,f1729,f1730,f1721,f1722,f1723,f1724,f1725,f530,f1734,f1741,f1736,f1737,f1614,f1762,f1743,f1763,f1764,f1766,f1768,f1770,f1771,f1750,f1772,f1774,f1775,f1777,f1754,f1778,f1779,f862,f1780,f1781,f1782,f1783,f1785,f1800,f1787,f1788,f1789,f1801,f1802,f1792,f1793,f1803,f1804,f1796,f1797,f1798,f495,f1808,f1809,f1810,f1813,f715,f1871,f1872,f1869,f1818,f1819,f1821,f1823,f1824,f1873,f1825,f1826,f1874,f1875,f1868,f1876,f1867,f1877,f1878,f1879,f1835,f1866,f1880,f1881,f1864,f1840,f1841,f1843,f1845,f1846,f1847,f1848,f1882,f1883,f1863,f1884,f1862,f1885,f1886,f1887,f1857,f1861,f1860,f1890,f1891,f1904,f1901,f1905,f1906,f1893,f1924,f1922,f1925,f1926,f1913,f1914,f1915,f1903,f1951,f1952,f1954,f1956,f1958,f1959,f1960,f1961,f1962,f1963,f1939,f1964,f1966,f1968,f1942,f1969,f1970,f1928,f1900,f1973,f529,f1975,f2007,f2008,f2009,f2010,f2005,f2011,f2004]) ).

fof(f2004,plain,
    ! [X2,X0,X1] :
      ( ~ ordinal(X0)
      | ~ being_limit_ordinal(powerset(X1))
      | ~ ordinal(powerset(X1))
      | ~ in(X0,powerset(X1))
      | ~ empty(X1)
      | in(X0,succ(X2))
      | ~ ordinal(X2) ),
    inference(duplicate_literal_removal,[],[f1980]) ).

fof(f1980,plain,
    ! [X2,X0,X1] :
      ( ~ ordinal(X0)
      | ~ being_limit_ordinal(powerset(X1))
      | ~ ordinal(powerset(X1))
      | ~ in(X0,powerset(X1))
      | ~ empty(X1)
      | in(X0,succ(X2))
      | ~ ordinal(X2)
      | ~ ordinal(X0) ),
    inference(resolution,[],[f529,f552]) ).

fof(f2011,plain,
    ! [X0,X1] :
      ( ~ ordinal(X0)
      | ~ being_limit_ordinal(powerset(X1))
      | ~ ordinal(powerset(X1))
      | ~ in(X0,powerset(X1))
      | ~ empty(X1) ),
    inference(global_subsumption,[],[f158,f160,f162,f166,f177,f248,f156,f159,f167,f168,f169,f219,f220,f221,f222,f223,f224,f225,f227,f228,f229,f230,f241,f242,f243,f244,f246,f170,f198,f157,f155,f171,f175,f190,f191,f192,f196,f153,f172,f178,f179,f180,f189,f259,f260,f261,f262,f199,f216,f193,f201,f202,f203,f205,f281,f206,f154,f173,f182,f200,f286,f289,f292,f285,f300,f295,f207,f213,f323,f214,f215,f324,f183,f338,f204,f340,f343,f335,f184,f212,f218,f348,f352,f354,f361,f362,f363,f364,f355,f369,f370,f373,f368,f174,f349,f350,f353,f356,f208,f209,f210,f217,f427,f428,f342,f441,f429,f347,f449,f351,f421,f460,f432,f461,f439,f450,f185,f459,f472,f471,f475,f476,f466,f492,f493,f494,f496,f501,f490,f186,f522,f181,f528,f540,f541,f533,f535,f538,f546,f521,f337,f553,f555,f556,f423,f393,f562,f563,f489,f577,f578,f579,f580,f581,f403,f588,f589,f590,f502,f610,f611,f612,f420,f641,f642,f636,f646,f644,f649,f657,f653,f667,f651,f443,f679,f552,f686,f689,f691,f701,f693,f463,f702,f703,f704,f705,f682,f713,f707,f717,f710,f684,f724,f722,f526,f736,f733,f740,f745,f746,f719,f753,f755,f757,f750,f582,f664,f675,f765,f767,f769,f768,f390,f789,f788,f770,f771,f787,f812,f813,f814,f815,f816,f817,f818,f790,f436,f838,f635,f853,f854,f542,f856,f431,f857,f858,f859,f865,f557,f884,f885,f886,f887,f735,f893,f901,f903,f905,f897,f837,f921,f922,f923,f924,f911,f920,f919,f917,f906,f932,f931,f852,f951,f447,f957,f958,f959,f955,f956,f734,f964,f811,f891,f982,f984,f986,f988,f977,f916,f989,f990,f991,f918,f995,f996,f997,f950,f1004,f499,f1009,f1010,f1011,f1012,f500,f1037,f1038,f1039,f1040,f933,f994,f1076,f1075,f1074,f1077,f1062,f1063,f1064,f1078,f1066,f1079,f1080,f1069,f1070,f1071,f1072,f999,f1099,f1098,f1103,f1087,f1088,f1089,f1106,f1107,f1108,f1094,f1095,f1096,f1097,f1101,f1114,f1115,f1105,f1120,f1119,f1002,f1130,f1129,f1007,f1203,f1202,f1137,f1138,f1139,f1199,f1205,f1206,f1145,f1146,f1198,f1196,f1192,f1191,f1162,f1163,f1164,f1188,f1207,f1208,f1170,f1171,f1187,f1185,f645,f1215,f1217,f1212,f1055,f1252,f1250,f1256,f1248,f1257,f1258,f1230,f1259,f1237,f1261,f1262,f1263,f1264,f1243,f1255,f1266,f1270,f1271,f1272,f1268,f1274,f1283,f1276,f1277,f1284,f1278,f1285,f1279,f1253,f1295,f1296,f1293,f1289,f1298,f1308,f1309,f1310,f1303,f1059,f1323,f1324,f1325,f1317,f1318,f1319,f1084,f1338,f1340,f1332,f1333,f1341,f1222,f1366,f1363,f1367,f1368,f1369,f1370,f1371,f1352,f1235,f1373,f1374,f1388,f1390,f1391,f1392,f1393,f1394,f1395,f1379,f1396,f1397,f1381,f1398,f1382,f647,f1408,f1409,f1402,f1404,f1387,f1411,f1422,f1420,f1423,f1424,f1413,f1440,f1438,f1441,f1442,f1443,f1431,f1419,f1444,f444,f1468,f1467,f1462,f1461,f1471,f1470,f1489,f1487,f1490,f1491,f1492,f1477,f1483,f1482,f462,f1493,f1494,f1495,f1497,f1498,f1500,f1501,f1499,f1502,f1503,f1504,f1505,f1506,f1507,f1508,f1509,f1510,f1511,f468,f1513,f1512,f1514,f741,f1526,f1525,f1527,f1528,f1529,f1521,f699,f1541,f1542,f1533,f1543,f1544,f1546,f1548,f1539,f844,f1579,f1578,f1580,f1581,f1582,f1555,f1556,f1583,f1584,f1585,f1560,f1577,f1576,f1575,f1574,f1573,f1572,f1568,f1569,f1571,f845,f1612,f1613,f1611,f1610,f1609,f1592,f1608,f1607,f1606,f1615,f1616,f1617,f1620,f1604,f1622,f1619,f1623,f1624,f1625,f1621,f1628,f1629,f1630,f1627,f1659,f1658,f1661,f1662,f1641,f1642,f1643,f1663,f1664,f1646,f1665,f1649,f1650,f1656,f1652,f1654,f1632,f1692,f1691,f1694,f1695,f1674,f1675,f1676,f1696,f1697,f1679,f1698,f1682,f1683,f1689,f1685,f1687,f1637,f1712,f1713,f1714,f1705,f1706,f1707,f1708,f1709,f1670,f1728,f1729,f1730,f1721,f1722,f1723,f1724,f1725,f530,f1734,f1741,f1736,f1737,f1614,f1762,f1743,f1763,f1764,f1766,f1768,f1770,f1771,f1750,f1772,f1774,f1775,f1777,f1754,f1778,f1779,f862,f1780,f1781,f1782,f1783,f1785,f1800,f1787,f1788,f1789,f1801,f1802,f1792,f1793,f1803,f1804,f1796,f1797,f1798,f495,f1808,f1809,f1810,f1813,f715,f1871,f1872,f1869,f1818,f1819,f1821,f1823,f1824,f1873,f1825,f1826,f1874,f1875,f1868,f1876,f1867,f1877,f1878,f1879,f1835,f1866,f1880,f1881,f1864,f1840,f1841,f1843,f1845,f1846,f1847,f1848,f1882,f1883,f1863,f1884,f1862,f1885,f1886,f1887,f1857,f1861,f1860,f1890,f1891,f1904,f1901,f1905,f1906,f1893,f1924,f1922,f1925,f1926,f1913,f1914,f1915,f1903,f1951,f1952,f1954,f1956,f1958,f1959,f1960,f1961,f1962,f1963,f1939,f1964,f1966,f1968,f1942,f1969,f1970,f1928,f1900,f1973,f529,f1975,f2007,f2008,f2009,f2010,f2005]) ).

fof(f2005,plain,
    ! [X2,X0,X1] :
      ( ~ ordinal(X0)
      | ~ being_limit_ordinal(powerset(X1))
      | ~ ordinal(powerset(X1))
      | ~ in(X0,powerset(X1))
      | ~ empty(X1)
      | in(X0,succ(X2))
      | ~ ordinal(X2) ),
    inference(duplicate_literal_removal,[],[f1979]) ).

fof(f1979,plain,
    ! [X2,X0,X1] :
      ( ~ ordinal(X0)
      | ~ being_limit_ordinal(powerset(X1))
      | ~ ordinal(powerset(X1))
      | ~ in(X0,powerset(X1))
      | ~ empty(X1)
      | in(X0,succ(X2))
      | ~ ordinal(X0)
      | ~ ordinal(X2) ),
    inference(resolution,[],[f529,f552]) ).

fof(f2010,plain,
    ! [X0,X1] :
      ( ~ ordinal(X0)
      | ~ being_limit_ordinal(powerset(X1))
      | ~ ordinal(powerset(X1))
      | ~ in(X0,powerset(X1))
      | ~ empty(X1) ),
    inference(global_subsumption,[],[f158,f160,f162,f166,f177,f248,f156,f159,f167,f168,f169,f219,f220,f221,f222,f223,f224,f225,f227,f228,f229,f230,f241,f242,f243,f244,f246,f170,f198,f157,f155,f171,f175,f190,f191,f192,f196,f153,f172,f178,f179,f180,f189,f259,f260,f261,f262,f199,f216,f193,f201,f202,f203,f205,f281,f206,f154,f173,f182,f200,f286,f289,f292,f285,f300,f295,f207,f213,f323,f214,f215,f324,f183,f338,f204,f340,f343,f335,f184,f212,f218,f348,f352,f354,f361,f362,f363,f364,f355,f369,f370,f373,f368,f174,f349,f350,f353,f356,f208,f209,f210,f217,f427,f428,f342,f441,f429,f347,f449,f351,f421,f460,f432,f461,f439,f450,f185,f459,f472,f471,f475,f476,f466,f492,f493,f494,f496,f501,f490,f186,f522,f181,f528,f540,f541,f533,f535,f538,f546,f521,f337,f553,f555,f556,f423,f393,f562,f563,f489,f577,f578,f579,f580,f581,f403,f588,f589,f590,f502,f610,f611,f612,f420,f641,f642,f636,f646,f644,f649,f657,f653,f667,f651,f443,f679,f552,f686,f689,f691,f701,f693,f463,f702,f703,f704,f705,f682,f713,f707,f717,f710,f684,f724,f722,f526,f736,f733,f740,f745,f746,f719,f753,f755,f757,f750,f582,f664,f675,f765,f767,f769,f768,f390,f789,f788,f770,f771,f787,f812,f813,f814,f815,f816,f817,f818,f790,f436,f838,f635,f853,f854,f542,f856,f431,f857,f858,f859,f865,f557,f884,f885,f886,f887,f735,f893,f901,f903,f905,f897,f837,f921,f922,f923,f924,f911,f920,f919,f917,f906,f932,f931,f852,f951,f447,f957,f958,f959,f955,f956,f734,f964,f811,f891,f982,f984,f986,f988,f977,f916,f989,f990,f991,f918,f995,f996,f997,f950,f1004,f499,f1009,f1010,f1011,f1012,f500,f1037,f1038,f1039,f1040,f933,f994,f1076,f1075,f1074,f1077,f1062,f1063,f1064,f1078,f1066,f1079,f1080,f1069,f1070,f1071,f1072,f999,f1099,f1098,f1103,f1087,f1088,f1089,f1106,f1107,f1108,f1094,f1095,f1096,f1097,f1101,f1114,f1115,f1105,f1120,f1119,f1002,f1130,f1129,f1007,f1203,f1202,f1137,f1138,f1139,f1199,f1205,f1206,f1145,f1146,f1198,f1196,f1192,f1191,f1162,f1163,f1164,f1188,f1207,f1208,f1170,f1171,f1187,f1185,f645,f1215,f1217,f1212,f1055,f1252,f1250,f1256,f1248,f1257,f1258,f1230,f1259,f1237,f1261,f1262,f1263,f1264,f1243,f1255,f1266,f1270,f1271,f1272,f1268,f1274,f1283,f1276,f1277,f1284,f1278,f1285,f1279,f1253,f1295,f1296,f1293,f1289,f1298,f1308,f1309,f1310,f1303,f1059,f1323,f1324,f1325,f1317,f1318,f1319,f1084,f1338,f1340,f1332,f1333,f1341,f1222,f1366,f1363,f1367,f1368,f1369,f1370,f1371,f1352,f1235,f1373,f1374,f1388,f1390,f1391,f1392,f1393,f1394,f1395,f1379,f1396,f1397,f1381,f1398,f1382,f647,f1408,f1409,f1402,f1404,f1387,f1411,f1422,f1420,f1423,f1424,f1413,f1440,f1438,f1441,f1442,f1443,f1431,f1419,f1444,f444,f1468,f1467,f1462,f1461,f1471,f1470,f1489,f1487,f1490,f1491,f1492,f1477,f1483,f1482,f462,f1493,f1494,f1495,f1497,f1498,f1500,f1501,f1499,f1502,f1503,f1504,f1505,f1506,f1507,f1508,f1509,f1510,f1511,f468,f1513,f1512,f1514,f741,f1526,f1525,f1527,f1528,f1529,f1521,f699,f1541,f1542,f1533,f1543,f1544,f1546,f1548,f1539,f844,f1579,f1578,f1580,f1581,f1582,f1555,f1556,f1583,f1584,f1585,f1560,f1577,f1576,f1575,f1574,f1573,f1572,f1568,f1569,f1571,f845,f1612,f1613,f1611,f1610,f1609,f1592,f1608,f1607,f1606,f1615,f1616,f1617,f1620,f1604,f1622,f1619,f1623,f1624,f1625,f1621,f1628,f1629,f1630,f1627,f1659,f1658,f1661,f1662,f1641,f1642,f1643,f1663,f1664,f1646,f1665,f1649,f1650,f1656,f1652,f1654,f1632,f1692,f1691,f1694,f1695,f1674,f1675,f1676,f1696,f1697,f1679,f1698,f1682,f1683,f1689,f1685,f1687,f1637,f1712,f1713,f1714,f1705,f1706,f1707,f1708,f1709,f1670,f1728,f1729,f1730,f1721,f1722,f1723,f1724,f1725,f530,f1734,f1741,f1736,f1737,f1614,f1762,f1743,f1763,f1764,f1766,f1768,f1770,f1771,f1750,f1772,f1774,f1775,f1777,f1754,f1778,f1779,f862,f1780,f1781,f1782,f1783,f1785,f1800,f1787,f1788,f1789,f1801,f1802,f1792,f1793,f1803,f1804,f1796,f1797,f1798,f495,f1808,f1809,f1810,f1813,f715,f1871,f1872,f1869,f1818,f1819,f1821,f1823,f1824,f1873,f1825,f1826,f1874,f1875,f1868,f1876,f1867,f1877,f1878,f1879,f1835,f1866,f1880,f1881,f1864,f1840,f1841,f1843,f1845,f1846,f1847,f1848,f1882,f1883,f1863,f1884,f1862,f1885,f1886,f1887,f1857,f1861,f1860,f1890,f1891,f1904,f1901,f1905,f1906,f1893,f1924,f1922,f1925,f1926,f1913,f1914,f1915,f1903,f1951,f1952,f1954,f1956,f1958,f1959,f1960,f1961,f1962,f1963,f1939,f1964,f1966,f1968,f1942,f1969,f1970,f1928,f1900,f1973,f529,f1975,f2007,f2008,f2009]) ).

fof(f2009,plain,
    ! [X2,X0,X1] :
      ( ~ ordinal(X0)
      | ~ being_limit_ordinal(powerset(X1))
      | ~ ordinal(powerset(X1))
      | ~ in(X0,powerset(X1))
      | ~ empty(X1)
      | in(X0,succ(X2))
      | ~ ordinal(X2) ),
    inference(subsumption_resolution,[],[f1977,f180]) ).

fof(f1977,plain,
    ! [X2,X0,X1] :
      ( ~ ordinal(X0)
      | ~ being_limit_ordinal(powerset(X1))
      | ~ ordinal(powerset(X1))
      | ~ in(X0,powerset(X1))
      | ~ empty(X1)
      | in(X0,succ(X2))
      | ~ ordinal(X2)
      | ~ ordinal(succ(X0)) ),
    inference(resolution,[],[f529,f1055]) ).

fof(f2008,plain,
    ! [X0,X1] :
      ( ~ ordinal(X0)
      | ~ being_limit_ordinal(powerset(X1))
      | ~ ordinal(powerset(X1))
      | ~ in(X0,powerset(X1))
      | ~ empty(X1) ),
    inference(global_subsumption,[],[f158,f160,f162,f166,f177,f248,f156,f159,f167,f168,f169,f219,f220,f221,f222,f223,f224,f225,f227,f228,f229,f230,f241,f242,f243,f244,f246,f170,f198,f157,f155,f171,f175,f190,f191,f192,f196,f153,f172,f178,f179,f180,f189,f259,f260,f261,f262,f199,f216,f193,f201,f202,f203,f205,f281,f206,f154,f173,f182,f200,f286,f289,f292,f285,f300,f295,f207,f213,f323,f214,f215,f324,f183,f338,f204,f340,f343,f335,f184,f212,f218,f348,f352,f354,f361,f362,f363,f364,f355,f369,f370,f373,f368,f174,f349,f350,f353,f356,f208,f209,f210,f217,f427,f428,f342,f441,f429,f347,f449,f351,f421,f460,f432,f461,f439,f450,f185,f459,f472,f471,f475,f476,f466,f492,f493,f494,f496,f501,f490,f186,f522,f181,f528,f540,f541,f533,f535,f538,f546,f521,f337,f553,f555,f556,f423,f393,f562,f563,f489,f577,f578,f579,f580,f581,f403,f588,f589,f590,f502,f610,f611,f612,f420,f641,f642,f636,f646,f644,f649,f657,f653,f667,f651,f443,f679,f552,f686,f689,f691,f701,f693,f463,f702,f703,f704,f705,f682,f713,f707,f717,f710,f684,f724,f722,f526,f736,f733,f740,f745,f746,f719,f753,f755,f757,f750,f582,f664,f675,f765,f767,f769,f768,f390,f789,f788,f770,f771,f787,f812,f813,f814,f815,f816,f817,f818,f790,f436,f838,f635,f853,f854,f542,f856,f431,f857,f858,f859,f865,f557,f884,f885,f886,f887,f735,f893,f901,f903,f905,f897,f837,f921,f922,f923,f924,f911,f920,f919,f917,f906,f932,f931,f852,f951,f447,f957,f958,f959,f955,f956,f734,f964,f811,f891,f982,f984,f986,f988,f977,f916,f989,f990,f991,f918,f995,f996,f997,f950,f1004,f499,f1009,f1010,f1011,f1012,f500,f1037,f1038,f1039,f1040,f933,f994,f1076,f1075,f1074,f1077,f1062,f1063,f1064,f1078,f1066,f1079,f1080,f1069,f1070,f1071,f1072,f999,f1099,f1098,f1103,f1087,f1088,f1089,f1106,f1107,f1108,f1094,f1095,f1096,f1097,f1101,f1114,f1115,f1105,f1120,f1119,f1002,f1130,f1129,f1007,f1203,f1202,f1137,f1138,f1139,f1199,f1205,f1206,f1145,f1146,f1198,f1196,f1192,f1191,f1162,f1163,f1164,f1188,f1207,f1208,f1170,f1171,f1187,f1185,f645,f1215,f1217,f1212,f1055,f1252,f1250,f1256,f1248,f1257,f1258,f1230,f1259,f1237,f1261,f1262,f1263,f1264,f1243,f1255,f1266,f1270,f1271,f1272,f1268,f1274,f1283,f1276,f1277,f1284,f1278,f1285,f1279,f1253,f1295,f1296,f1293,f1289,f1298,f1308,f1309,f1310,f1303,f1059,f1323,f1324,f1325,f1317,f1318,f1319,f1084,f1338,f1340,f1332,f1333,f1341,f1222,f1366,f1363,f1367,f1368,f1369,f1370,f1371,f1352,f1235,f1373,f1374,f1388,f1390,f1391,f1392,f1393,f1394,f1395,f1379,f1396,f1397,f1381,f1398,f1382,f647,f1408,f1409,f1402,f1404,f1387,f1411,f1422,f1420,f1423,f1424,f1413,f1440,f1438,f1441,f1442,f1443,f1431,f1419,f1444,f444,f1468,f1467,f1462,f1461,f1471,f1470,f1489,f1487,f1490,f1491,f1492,f1477,f1483,f1482,f462,f1493,f1494,f1495,f1497,f1498,f1500,f1501,f1499,f1502,f1503,f1504,f1505,f1506,f1507,f1508,f1509,f1510,f1511,f468,f1513,f1512,f1514,f741,f1526,f1525,f1527,f1528,f1529,f1521,f699,f1541,f1542,f1533,f1543,f1544,f1546,f1548,f1539,f844,f1579,f1578,f1580,f1581,f1582,f1555,f1556,f1583,f1584,f1585,f1560,f1577,f1576,f1575,f1574,f1573,f1572,f1568,f1569,f1571,f845,f1612,f1613,f1611,f1610,f1609,f1592,f1608,f1607,f1606,f1615,f1616,f1617,f1620,f1604,f1622,f1619,f1623,f1624,f1625,f1621,f1628,f1629,f1630,f1627,f1659,f1658,f1661,f1662,f1641,f1642,f1643,f1663,f1664,f1646,f1665,f1649,f1650,f1656,f1652,f1654,f1632,f1692,f1691,f1694,f1695,f1674,f1675,f1676,f1696,f1697,f1679,f1698,f1682,f1683,f1689,f1685,f1687,f1637,f1712,f1713,f1714,f1705,f1706,f1707,f1708,f1709,f1670,f1728,f1729,f1730,f1721,f1722,f1723,f1724,f1725,f530,f1734,f1741,f1736,f1737,f1614,f1762,f1743,f1763,f1764,f1766,f1768,f1770,f1771,f1750,f1772,f1774,f1775,f1777,f1754,f1778,f1779,f862,f1780,f1781,f1782,f1783,f1785,f1800,f1787,f1788,f1789,f1801,f1802,f1792,f1793,f1803,f1804,f1796,f1797,f1798,f495,f1808,f1809,f1810,f1813,f715,f1871,f1872,f1869,f1818,f1819,f1821,f1823,f1824,f1873,f1825,f1826,f1874,f1875,f1868,f1876,f1867,f1877,f1878,f1879,f1835,f1866,f1880,f1881,f1864,f1840,f1841,f1843,f1845,f1846,f1847,f1848,f1882,f1883,f1863,f1884,f1862,f1885,f1886,f1887,f1857,f1861,f1860,f1890,f1891,f1904,f1901,f1905,f1906,f1893,f1924,f1922,f1925,f1926,f1913,f1914,f1915,f1903,f1951,f1952,f1954,f1956,f1958,f1959,f1960,f1961,f1962,f1963,f1939,f1964,f1966,f1968,f1942,f1969,f1970,f1928,f1900,f1973,f529,f1975,f2007]) ).

fof(f2007,plain,
    ! [X2,X0,X1] :
      ( ~ ordinal(X0)
      | ~ being_limit_ordinal(powerset(X1))
      | ~ ordinal(powerset(X1))
      | ~ in(X0,powerset(X1))
      | ~ empty(X1)
      | in(X0,succ(X2))
      | ~ ordinal(succ(X2)) ),
    inference(duplicate_literal_removal,[],[f1976]) ).

fof(f1976,plain,
    ! [X2,X0,X1] :
      ( ~ ordinal(X0)
      | ~ being_limit_ordinal(powerset(X1))
      | ~ ordinal(powerset(X1))
      | ~ in(X0,powerset(X1))
      | ~ empty(X1)
      | in(X0,succ(X2))
      | ~ ordinal(X0)
      | ~ ordinal(succ(X2)) ),
    inference(resolution,[],[f529,f1055]) ).

fof(f529,plain,
    ! [X2,X0,X1] :
      ( ~ in(X2,succ(X0))
      | ~ ordinal(X0)
      | ~ being_limit_ordinal(powerset(X1))
      | ~ ordinal(powerset(X1))
      | ~ in(X0,powerset(X1))
      | ~ empty(X1) ),
    inference(resolution,[],[f181,f350]) ).

fof(f1973,plain,
    ! [X0] :
      ( ~ ordinal(powerset(X0))
      | empty(powerset(X0))
      | ~ ordinal_subset(succ(succ(powerset(X0))),X0)
      | ~ ordinal(X0)
      | ~ ordinal(succ(succ(powerset(X0)))) ),
    inference(resolution,[],[f1900,f209]) ).

fof(f1900,plain,
    ! [X0] :
      ( ~ subset(succ(succ(powerset(X0))),X0)
      | ~ ordinal(powerset(X0))
      | empty(powerset(X0)) ),
    inference(resolution,[],[f1860,f439]) ).

fof(f1928,plain,
    ! [X0] :
      ( element(X0,succ(succ(X0)))
      | ~ ordinal(succ(succ(X0)))
      | ~ ordinal(X0) ),
    inference(resolution,[],[f1903,f171]) ).

fof(f1970,plain,
    ! [X0,X1] :
      ( element(X0,X1)
      | ~ ordinal(X1)
      | ~ ordinal(X0)
      | in(X1,succ(X0))
      | succ(X0) = X1 ),
    inference(subsumption_resolution,[],[f1947,f180]) ).

fof(f1947,plain,
    ! [X0,X1] :
      ( element(X0,X1)
      | ~ ordinal(X1)
      | ~ ordinal(X0)
      | in(X1,succ(X0))
      | ~ ordinal(succ(X0))
      | succ(X0) = X1 ),
    inference(duplicate_literal_removal,[],[f1944]) ).

fof(f1944,plain,
    ! [X0,X1] :
      ( element(X0,X1)
      | ~ ordinal(X1)
      | ~ ordinal(X0)
      | in(X1,succ(X0))
      | ~ ordinal(X1)
      | ~ ordinal(succ(X0))
      | succ(X0) = X1 ),
    inference(resolution,[],[f1903,f1007]) ).

fof(f1969,plain,
    ! [X0,X1] :
      ( element(X0,X1)
      | ~ ordinal(X1)
      | ~ ordinal(X0)
      | in(X1,succ(X0))
      | succ(X0) = X1 ),
    inference(subsumption_resolution,[],[f1948,f180]) ).

fof(f1948,plain,
    ! [X0,X1] :
      ( element(X0,X1)
      | ~ ordinal(X1)
      | ~ ordinal(X0)
      | in(X1,succ(X0))
      | ~ ordinal(succ(X0))
      | succ(X0) = X1 ),
    inference(duplicate_literal_removal,[],[f1943]) ).

fof(f1943,plain,
    ! [X0,X1] :
      ( element(X0,X1)
      | ~ ordinal(X1)
      | ~ ordinal(X0)
      | in(X1,succ(X0))
      | ~ ordinal(succ(X0))
      | ~ ordinal(X1)
      | succ(X0) = X1 ),
    inference(resolution,[],[f1903,f1007]) ).

fof(f1942,plain,
    ! [X0,X1] :
      ( element(X0,powerset(X1))
      | ~ ordinal(powerset(X1))
      | ~ ordinal(X0)
      | empty(powerset(X1))
      | ~ subset(succ(X0),X1) ),
    inference(resolution,[],[f1903,f342]) ).

fof(f1968,plain,
    ! [X0] :
      ( element(X0,succ(succ(sK3(succ(succ(X0))))))
      | ~ ordinal(X0)
      | ~ ordinal(succ(sK3(succ(succ(X0))))) ),
    inference(subsumption_resolution,[],[f1967,f180]) ).

fof(f1967,plain,
    ! [X0] :
      ( element(X0,succ(succ(sK3(succ(succ(X0))))))
      | ~ ordinal(X0)
      | ~ ordinal(succ(sK3(succ(succ(X0)))))
      | ~ ordinal(succ(X0)) ),
    inference(subsumption_resolution,[],[f1941,f180]) ).

fof(f1941,plain,
    ! [X0] :
      ( element(X0,succ(succ(sK3(succ(succ(X0))))))
      | ~ ordinal(succ(succ(sK3(succ(succ(X0))))))
      | ~ ordinal(X0)
      | ~ ordinal(succ(sK3(succ(succ(X0)))))
      | ~ ordinal(succ(X0)) ),
    inference(resolution,[],[f1903,f699]) ).

fof(f1964,plain,
    ! [X0] :
      ( element(X0,succ(succ(succ(succ(X0)))))
      | ~ ordinal(succ(succ(succ(succ(X0)))))
      | ~ ordinal(X0) ),
    inference(global_subsumption,[],[f158,f160,f162,f166,f177,f248,f156,f159,f167,f168,f169,f219,f220,f221,f222,f223,f224,f225,f227,f228,f229,f230,f241,f242,f243,f244,f246,f170,f198,f157,f155,f171,f175,f190,f191,f192,f196,f153,f172,f178,f179,f180,f189,f259,f260,f261,f262,f199,f216,f193,f201,f202,f203,f205,f281,f206,f154,f173,f182,f200,f286,f289,f292,f285,f300,f295,f207,f213,f323,f214,f215,f324,f183,f338,f204,f340,f343,f335,f184,f212,f218,f348,f352,f354,f361,f362,f363,f364,f355,f369,f370,f373,f368,f174,f349,f350,f353,f356,f208,f209,f210,f217,f427,f428,f342,f441,f429,f347,f449,f351,f421,f460,f432,f461,f439,f450,f185,f459,f472,f471,f475,f476,f466,f492,f493,f494,f496,f501,f490,f186,f522,f181,f528,f529,f540,f541,f533,f535,f538,f546,f521,f337,f553,f555,f556,f423,f393,f562,f563,f489,f577,f578,f579,f580,f581,f403,f588,f589,f590,f502,f610,f611,f612,f420,f641,f642,f636,f646,f644,f649,f657,f653,f667,f651,f443,f679,f552,f686,f689,f691,f701,f693,f463,f702,f703,f704,f705,f682,f713,f707,f717,f710,f684,f724,f722,f526,f736,f733,f740,f745,f746,f719,f753,f755,f757,f750,f582,f664,f675,f765,f767,f769,f768,f390,f789,f788,f770,f771,f787,f812,f813,f814,f815,f816,f817,f818,f790,f436,f838,f635,f853,f854,f542,f856,f431,f857,f858,f859,f865,f557,f884,f885,f886,f887,f735,f893,f901,f903,f905,f897,f837,f921,f922,f923,f924,f911,f920,f919,f917,f906,f932,f931,f852,f951,f447,f957,f958,f959,f955,f956,f734,f964,f811,f891,f982,f984,f986,f988,f977,f916,f989,f990,f991,f918,f995,f996,f997,f950,f1004,f499,f1009,f1010,f1011,f1012,f500,f1037,f1038,f1039,f1040,f933,f994,f1076,f1075,f1074,f1077,f1062,f1063,f1064,f1078,f1066,f1079,f1080,f1069,f1070,f1071,f1072,f999,f1099,f1098,f1103,f1087,f1088,f1089,f1106,f1107,f1108,f1094,f1095,f1096,f1097,f1101,f1114,f1115,f1105,f1120,f1119,f1002,f1130,f1129,f1007,f1203,f1202,f1137,f1138,f1139,f1199,f1205,f1206,f1145,f1146,f1198,f1196,f1192,f1191,f1162,f1163,f1164,f1188,f1207,f1208,f1170,f1171,f1187,f1185,f645,f1215,f1217,f1212,f1055,f1252,f1250,f1256,f1248,f1257,f1258,f1230,f1259,f1237,f1261,f1262,f1263,f1264,f1243,f1255,f1266,f1270,f1271,f1272,f1268,f1274,f1283,f1276,f1277,f1284,f1278,f1285,f1279,f1253,f1295,f1296,f1293,f1289,f1298,f1308,f1309,f1310,f1303,f1059,f1323,f1324,f1325,f1317,f1318,f1319,f1084,f1338,f1340,f1332,f1333,f1341,f1222,f1366,f1363,f1367,f1368,f1369,f1370,f1371,f1352,f1235,f1373,f1374,f1388,f1390,f1391,f1392,f1393,f1394,f1395,f1379,f1396,f1397,f1381,f1398,f1382,f647,f1408,f1409,f1402,f1404,f1387,f1411,f1422,f1420,f1423,f1424,f1413,f1440,f1438,f1441,f1442,f1443,f1431,f1419,f1444,f444,f1468,f1467,f1462,f1461,f1471,f1470,f1489,f1487,f1490,f1491,f1492,f1477,f1483,f1482,f462,f1493,f1494,f1495,f1497,f1498,f1500,f1501,f1499,f1502,f1503,f1504,f1505,f1506,f1507,f1508,f1509,f1510,f1511,f468,f1513,f1512,f1514,f741,f1526,f1525,f1527,f1528,f1529,f1521,f699,f1541,f1542,f1533,f1543,f1544,f1546,f1548,f1539,f844,f1579,f1578,f1580,f1581,f1582,f1555,f1556,f1583,f1584,f1585,f1560,f1577,f1576,f1575,f1574,f1573,f1572,f1568,f1569,f1571,f845,f1612,f1613,f1611,f1610,f1609,f1592,f1608,f1607,f1606,f1615,f1616,f1617,f1620,f1604,f1622,f1619,f1623,f1624,f1625,f1621,f1628,f1629,f1630,f1627,f1659,f1658,f1661,f1662,f1641,f1642,f1643,f1663,f1664,f1646,f1665,f1649,f1650,f1656,f1652,f1654,f1632,f1692,f1691,f1694,f1695,f1674,f1675,f1676,f1696,f1697,f1679,f1698,f1682,f1683,f1689,f1685,f1687,f1637,f1712,f1713,f1714,f1705,f1706,f1707,f1708,f1709,f1670,f1728,f1729,f1730,f1721,f1722,f1723,f1724,f1725,f530,f1734,f1741,f1736,f1737,f1614,f1762,f1743,f1763,f1764,f1766,f1768,f1770,f1771,f1750,f1772,f1774,f1775,f1777,f1754,f1778,f1779,f862,f1780,f1781,f1782,f1783,f1785,f1800,f1787,f1788,f1789,f1801,f1802,f1792,f1793,f1803,f1804,f1796,f1797,f1798,f495,f1808,f1809,f1810,f1813,f715,f1871,f1872,f1869,f1818,f1819,f1821,f1823,f1824,f1873,f1825,f1826,f1874,f1875,f1868,f1876,f1867,f1877,f1878,f1879,f1835,f1866,f1880,f1881,f1864,f1840,f1841,f1843,f1845,f1846,f1847,f1848,f1882,f1883,f1863,f1884,f1862,f1885,f1886,f1887,f1857,f1861,f1860,f1890,f1891,f1904,f1901,f1905,f1906,f1900,f1893,f1924,f1922,f1925,f1926,f1913,f1914,f1915,f1903,f1928,f1951,f1952,f1954,f1956,f1958,f1959,f1960,f1961,f1962,f1963,f1939]) ).

fof(f1939,plain,
    ! [X0] :
      ( element(X0,succ(succ(succ(succ(X0)))))
      | ~ ordinal(succ(succ(succ(succ(X0)))))
      | ~ ordinal(X0)
      | ~ ordinal(succ(succ(X0))) ),
    inference(resolution,[],[f1903,f1255]) ).

fof(f1963,plain,
    ! [X0] :
      ( element(X0,succ(succ(succ(succ(X0)))))
      | ~ ordinal(succ(succ(succ(succ(X0)))))
      | ~ ordinal(X0) ),
    inference(subsumption_resolution,[],[f1938,f180]) ).

fof(f1938,plain,
    ! [X0] :
      ( element(X0,succ(succ(succ(succ(X0)))))
      | ~ ordinal(succ(succ(succ(succ(X0)))))
      | ~ ordinal(X0)
      | ~ ordinal(succ(X0)) ),
    inference(resolution,[],[f1903,f1387]) ).

fof(f1962,plain,
    ! [X0,X1] :
      ( element(X0,succ(succ(X1)))
      | ~ ordinal(succ(succ(X1)))
      | ~ ordinal(X0)
      | in(X1,succ(succ(succ(X0))))
      | ~ ordinal(X1) ),
    inference(subsumption_resolution,[],[f1937,f180]) ).

fof(f1937,plain,
    ! [X0,X1] :
      ( element(X0,succ(succ(X1)))
      | ~ ordinal(succ(succ(X1)))
      | ~ ordinal(X0)
      | in(X1,succ(succ(succ(X0))))
      | ~ ordinal(succ(X0))
      | ~ ordinal(X1) ),
    inference(resolution,[],[f1903,f715]) ).

fof(f1961,plain,
    ! [X0,X1] :
      ( element(X0,succ(succ(X1)))
      | ~ ordinal(succ(succ(X1)))
      | ~ ordinal(X0)
      | in(X1,succ(succ(succ(X0))))
      | ~ ordinal(X1) ),
    inference(subsumption_resolution,[],[f1936,f180]) ).

fof(f1936,plain,
    ! [X0,X1] :
      ( element(X0,succ(succ(X1)))
      | ~ ordinal(succ(succ(X1)))
      | ~ ordinal(X0)
      | in(X1,succ(succ(succ(X0))))
      | ~ ordinal(X1)
      | ~ ordinal(succ(X0)) ),
    inference(resolution,[],[f1903,f715]) ).

fof(f1960,plain,
    ! [X0] :
      ( element(X0,succ(succ(succ(X0))))
      | ~ ordinal(X0)
      | ~ ordinal(succ(succ(X0)))
      | ~ being_limit_ordinal(succ(succ(X0))) ),
    inference(subsumption_resolution,[],[f1935,f180]) ).

fof(f1935,plain,
    ! [X0] :
      ( element(X0,succ(succ(succ(X0))))
      | ~ ordinal(succ(succ(succ(X0))))
      | ~ ordinal(X0)
      | ~ ordinal(succ(succ(X0)))
      | ~ being_limit_ordinal(succ(succ(X0))) ),
    inference(resolution,[],[f1903,f1253]) ).

fof(f1958,plain,
    ! [X0,X1] :
      ( element(X0,succ(X1))
      | ~ ordinal(X0)
      | in(X1,succ(succ(X0)))
      | ~ ordinal(X1) ),
    inference(subsumption_resolution,[],[f1957,f180]) ).

fof(f1957,plain,
    ! [X0,X1] :
      ( element(X0,succ(X1))
      | ~ ordinal(X0)
      | in(X1,succ(succ(X0)))
      | ~ ordinal(succ(X0))
      | ~ ordinal(X1) ),
    inference(subsumption_resolution,[],[f1933,f180]) ).

fof(f1933,plain,
    ! [X0,X1] :
      ( element(X0,succ(X1))
      | ~ ordinal(succ(X1))
      | ~ ordinal(X0)
      | in(X1,succ(succ(X0)))
      | ~ ordinal(succ(X0))
      | ~ ordinal(X1) ),
    inference(resolution,[],[f1903,f552]) ).

fof(f1951,plain,
    ! [X0,X1] :
      ( element(X0,succ(X1))
      | ~ ordinal(X0)
      | in(X1,succ(succ(X0)))
      | ~ ordinal(X1)
      | ~ ordinal(succ(succ(X0))) ),
    inference(subsumption_resolution,[],[f1929,f180]) ).

fof(f1929,plain,
    ! [X0,X1] :
      ( element(X0,succ(X1))
      | ~ ordinal(succ(X1))
      | ~ ordinal(X0)
      | in(X1,succ(succ(X0)))
      | ~ ordinal(X1)
      | ~ ordinal(succ(succ(X0))) ),
    inference(resolution,[],[f1903,f1055]) ).

fof(f1903,plain,
    ! [X0,X1] :
      ( ~ in(succ(X0),X1)
      | element(X0,X1)
      | ~ ordinal(X1)
      | ~ ordinal(X0) ),
    inference(subsumption_resolution,[],[f1888,f180]) ).

fof(f1888,plain,
    ! [X0,X1] :
      ( ~ ordinal(X0)
      | element(X0,X1)
      | ~ ordinal(X1)
      | ~ in(succ(X0),X1)
      | ~ ordinal(succ(X0)) ),
    inference(resolution,[],[f1860,f845]) ).

fof(f1915,plain,
    ! [X0] :
      ( ~ ordinal(powerset(X0))
      | empty(powerset(X0))
      | ~ subset(succ(succ(powerset(X0))),X0) ),
    inference(resolution,[],[f1893,f342]) ).

fof(f1914,plain,
    ! [X0] :
      ( ~ ordinal(succ(succ(X0)))
      | in(X0,succ(succ(succ(succ(succ(succ(X0)))))))
      | ~ ordinal(succ(succ(succ(succ(X0)))))
      | ~ ordinal(X0) ),
    inference(resolution,[],[f1893,f715]) ).

fof(f1913,plain,
    ! [X0] :
      ( ~ ordinal(succ(succ(X0)))
      | in(X0,succ(succ(succ(succ(succ(succ(X0)))))))
      | ~ ordinal(X0)
      | ~ ordinal(succ(succ(succ(succ(X0))))) ),
    inference(resolution,[],[f1893,f715]) ).

fof(f1926,plain,
    ! [X0] :
      ( in(X0,succ(succ(succ(succ(X0)))))
      | ~ ordinal(succ(succ(succ(X0))))
      | ~ ordinal(X0) ),
    inference(subsumption_resolution,[],[f1912,f180]) ).

fof(f1912,plain,
    ! [X0] :
      ( ~ ordinal(succ(X0))
      | in(X0,succ(succ(succ(succ(X0)))))
      | ~ ordinal(succ(succ(succ(X0))))
      | ~ ordinal(X0) ),
    inference(resolution,[],[f1893,f552]) ).

fof(f1925,plain,
    ! [X0] :
      ( in(X0,succ(succ(succ(succ(X0)))))
      | ~ ordinal(X0)
      | ~ ordinal(succ(succ(succ(X0)))) ),
    inference(subsumption_resolution,[],[f1911,f180]) ).

fof(f1911,plain,
    ! [X0] :
      ( ~ ordinal(succ(X0))
      | in(X0,succ(succ(succ(succ(X0)))))
      | ~ ordinal(X0)
      | ~ ordinal(succ(succ(succ(X0)))) ),
    inference(resolution,[],[f1893,f552]) ).

fof(f1922,plain,
    ! [X0] :
      ( ~ ordinal(succ(X0))
      | in(X0,succ(succ(succ(succ(X0)))))
      | ~ ordinal(succ(succ(succ(X0)))) ),
    inference(duplicate_literal_removal,[],[f1909]) ).

fof(f1909,plain,
    ! [X0] :
      ( ~ ordinal(succ(X0))
      | in(X0,succ(succ(succ(succ(X0)))))
      | ~ ordinal(succ(succ(succ(X0))))
      | ~ ordinal(succ(X0)) ),
    inference(resolution,[],[f1893,f1055]) ).

fof(f1924,plain,
    ! [X0] :
      ( in(X0,succ(succ(succ(succ(X0)))))
      | ~ ordinal(X0)
      | ~ ordinal(succ(succ(succ(succ(X0))))) ),
    inference(subsumption_resolution,[],[f1908,f180]) ).

fof(f1908,plain,
    ! [X0] :
      ( ~ ordinal(succ(X0))
      | in(X0,succ(succ(succ(succ(X0)))))
      | ~ ordinal(X0)
      | ~ ordinal(succ(succ(succ(succ(X0))))) ),
    inference(resolution,[],[f1893,f1055]) ).

fof(f1893,plain,
    ! [X0] :
      ( ~ in(succ(succ(X0)),X0)
      | ~ ordinal(X0) ),
    inference(resolution,[],[f1860,f205]) ).

fof(f1906,plain,
    ! [X0] :
      ( ~ ordinal(succ(succ(succ(succ(X0)))))
      | element(X0,succ(succ(succ(succ(X0)))))
      | ~ ordinal(succ(X0)) ),
    inference(subsumption_resolution,[],[f1899,f180]) ).

fof(f1899,plain,
    ! [X0] :
      ( ~ ordinal(succ(succ(X0)))
      | ~ ordinal(succ(succ(succ(succ(X0)))))
      | element(X0,succ(succ(succ(succ(X0)))))
      | ~ ordinal(succ(X0)) ),
    inference(resolution,[],[f1860,f1614]) ).

fof(f1901,plain,
    ! [X0] :
      ( ~ ordinal(succ(X0))
      | ~ ordinal(succ(succ(succ(X0))))
      | in(X0,succ(succ(succ(succ(X0))))) ),
    inference(duplicate_literal_removal,[],[f1896]) ).

fof(f1896,plain,
    ! [X0] :
      ( ~ ordinal(succ(X0))
      | ~ ordinal(succ(succ(succ(X0))))
      | ~ ordinal(succ(X0))
      | in(X0,succ(succ(succ(succ(X0))))) ),
    inference(resolution,[],[f1860,f1222]) ).

fof(f1904,plain,
    ! [X0] :
      ( ~ ordinal(X0)
      | ~ ordinal(succ(succ(succ(succ(X0)))))
      | in(X0,succ(succ(succ(succ(X0))))) ),
    inference(subsumption_resolution,[],[f1895,f180]) ).

fof(f1895,plain,
    ! [X0] :
      ( ~ ordinal(succ(X0))
      | ~ ordinal(X0)
      | ~ ordinal(succ(succ(succ(succ(X0)))))
      | in(X0,succ(succ(succ(succ(X0))))) ),
    inference(resolution,[],[f1860,f1235]) ).

fof(f1891,plain,
    ! [X0,X1] :
      ( ~ ordinal(X0)
      | element(X0,X1)
      | ~ ordinal(X1)
      | ~ ordinal(succ(succ(X0)))
      | ordinal_subset(X1,succ(succ(X0))) ),
    inference(resolution,[],[f1860,f837]) ).

fof(f1890,plain,
    ! [X0,X1] :
      ( ~ ordinal(X0)
      | element(X0,succ(X1))
      | ~ ordinal(succ(succ(X0)))
      | ~ ordinal(X1)
      | in(X1,succ(succ(X0))) ),
    inference(resolution,[],[f1860,f844]) ).

fof(f1860,plain,
    ! [X0] :
      ( in(X0,succ(succ(X0)))
      | ~ ordinal(X0) ),
    inference(duplicate_literal_removal,[],[f1859]) ).

fof(f1859,plain,
    ! [X0] :
      ( in(X0,succ(succ(X0)))
      | ~ ordinal(X0)
      | ~ ordinal(X0) ),
    inference(factoring,[],[f715]) ).

fof(f1861,plain,
    ! [X0] :
      ( in(X0,succ(succ(powerset(succ(succ(X0))))))
      | ~ ordinal(X0)
      | ~ ordinal(powerset(succ(succ(X0))))
      | ~ ordinal(succ(succ(X0)))
      | empty(powerset(succ(succ(X0)))) ),
    inference(duplicate_literal_removal,[],[f1858]) ).

fof(f1858,plain,
    ! [X0] :
      ( in(X0,succ(succ(powerset(succ(succ(X0))))))
      | ~ ordinal(X0)
      | ~ ordinal(powerset(succ(succ(X0))))
      | ~ ordinal(succ(succ(X0)))
      | empty(powerset(succ(succ(X0))))
      | ~ ordinal(powerset(succ(succ(X0)))) ),
    inference(resolution,[],[f715,f1470]) ).

fof(f1857,plain,
    ! [X0,X1] :
      ( in(X0,succ(succ(powerset(X1))))
      | ~ ordinal(X0)
      | ~ ordinal(powerset(X1))
      | ~ subset(succ(succ(X0)),X1)
      | empty(powerset(X1)) ),
    inference(resolution,[],[f715,f439]) ).

fof(f1887,plain,
    ! [X0,X1] :
      ( in(X0,succ(succ(succ(succ(X1)))))
      | ~ ordinal(X0)
      | ~ ordinal(succ(succ(X0)))
      | element(X1,succ(succ(X0)))
      | ~ ordinal(succ(X1)) ),
    inference(subsumption_resolution,[],[f1856,f180]) ).

fof(f1856,plain,
    ! [X0,X1] :
      ( in(X0,succ(succ(succ(succ(X1)))))
      | ~ ordinal(X0)
      | ~ ordinal(succ(succ(X1)))
      | ~ ordinal(succ(succ(X0)))
      | element(X1,succ(succ(X0)))
      | ~ ordinal(succ(X1)) ),
    inference(resolution,[],[f715,f1614]) ).

fof(f1886,plain,
    ! [X0,X1] :
      ( in(X0,succ(succ(succ(X1))))
      | ~ ordinal(X0)
      | ~ ordinal(succ(succ(X0)))
      | ~ ordinal(X1)
      | in(X1,succ(succ(succ(X0)))) ),
    inference(subsumption_resolution,[],[f1855,f180]) ).

fof(f1855,plain,
    ! [X0,X1] :
      ( in(X0,succ(succ(succ(X1))))
      | ~ ordinal(X0)
      | ~ ordinal(succ(X1))
      | ~ ordinal(succ(succ(X0)))
      | ~ ordinal(X1)
      | in(X1,succ(succ(succ(X0)))) ),
    inference(resolution,[],[f715,f682]) ).

fof(f1885,plain,
    ! [X0,X1] :
      ( in(X0,succ(succ(succ(X1))))
      | ~ ordinal(X0)
      | ~ ordinal(X1)
      | ~ in(succ(succ(X0)),X1)
      | ~ ordinal(succ(succ(X0)))
      | ~ being_limit_ordinal(X1) ),
    inference(subsumption_resolution,[],[f1854,f180]) ).

fof(f1854,plain,
    ! [X0,X1] :
      ( in(X0,succ(succ(succ(X1))))
      | ~ ordinal(X0)
      | ~ ordinal(succ(X1))
      | ~ ordinal(X1)
      | ~ in(succ(succ(X0)),X1)
      | ~ ordinal(succ(succ(X0)))
      | ~ being_limit_ordinal(X1) ),
    inference(resolution,[],[f715,f891]) ).

fof(f1862,plain,
    ! [X0,X1] :
      ( in(X0,succ(succ(succ(X1))))
      | ~ ordinal(X0)
      | ~ ordinal(succ(X1))
      | ~ ordinal(succ(succ(X0)))
      | in(X1,succ(succ(succ(X0)))) ),
    inference(duplicate_literal_removal,[],[f1853]) ).

fof(f1853,plain,
    ! [X0,X1] :
      ( in(X0,succ(succ(succ(X1))))
      | ~ ordinal(X0)
      | ~ ordinal(succ(X1))
      | ~ ordinal(succ(succ(X0)))
      | ~ ordinal(succ(X1))
      | in(X1,succ(succ(succ(X0)))) ),
    inference(resolution,[],[f715,f1222]) ).

fof(f1884,plain,
    ! [X0,X1] :
      ( in(X0,succ(succ(succ(X1))))
      | ~ ordinal(X0)
      | ~ ordinal(X1)
      | ~ ordinal(succ(succ(succ(X0))))
      | in(X1,succ(succ(succ(X0)))) ),
    inference(subsumption_resolution,[],[f1852,f180]) ).

fof(f1852,plain,
    ! [X0,X1] :
      ( in(X0,succ(succ(succ(X1))))
      | ~ ordinal(X0)
      | ~ ordinal(succ(X1))
      | ~ ordinal(X1)
      | ~ ordinal(succ(succ(succ(X0))))
      | in(X1,succ(succ(succ(X0)))) ),
    inference(resolution,[],[f715,f1235]) ).

fof(f1863,plain,
    ! [X0] :
      ( in(X0,succ(succ(succ(succ(succ(succ(X0)))))))
      | ~ ordinal(X0)
      | ~ ordinal(succ(succ(succ(succ(X0)))))
      | ~ being_limit_ordinal(succ(succ(X0)))
      | ~ ordinal(succ(succ(X0))) ),
    inference(duplicate_literal_removal,[],[f1851]) ).

fof(f1851,plain,
    ! [X0] :
      ( in(X0,succ(succ(succ(succ(succ(succ(X0)))))))
      | ~ ordinal(X0)
      | ~ ordinal(succ(succ(succ(succ(X0)))))
      | ~ being_limit_ordinal(succ(succ(X0)))
      | ~ ordinal(succ(succ(X0)))
      | ~ ordinal(succ(succ(succ(succ(X0))))) ),
    inference(resolution,[],[f715,f734]) ).

fof(f1883,plain,
    ! [X0] :
      ( in(X0,succ(succ(succ(succ(succ(succ(X0)))))))
      | ~ ordinal(X0)
      | ~ being_limit_ordinal(succ(succ(succ(X0))))
      | ~ ordinal(succ(succ(succ(X0)))) ),
    inference(subsumption_resolution,[],[f1850,f180]) ).

fof(f1850,plain,
    ! [X0] :
      ( in(X0,succ(succ(succ(succ(succ(succ(X0)))))))
      | ~ ordinal(X0)
      | ~ ordinal(succ(succ(succ(succ(X0)))))
      | ~ being_limit_ordinal(succ(succ(succ(X0))))
      | ~ ordinal(succ(succ(succ(X0)))) ),
    inference(resolution,[],[f715,f1289]) ).

fof(f1882,plain,
    ! [X0] :
      ( in(X0,succ(succ(succ(succ(succ(succ(succ(X0))))))))
      | ~ ordinal(X0)
      | ~ ordinal(succ(succ(X0)))
      | ~ ordinal(succ(succ(succ(succ(X0))))) ),
    inference(subsumption_resolution,[],[f1849,f180]) ).

fof(f1849,plain,
    ! [X0] :
      ( in(X0,succ(succ(succ(succ(succ(succ(succ(X0))))))))
      | ~ ordinal(X0)
      | ~ ordinal(succ(succ(succ(succ(succ(X0))))))
      | ~ ordinal(succ(succ(X0)))
      | ~ ordinal(succ(succ(succ(succ(X0))))) ),
    inference(resolution,[],[f715,f719]) ).

fof(f1848,plain,
    ! [X0] :
      ( in(X0,succ(succ(succ(succ(succ(succ(succ(X0))))))))
      | ~ ordinal(X0)
      | ~ ordinal(succ(succ(succ(succ(succ(X0))))))
      | ~ ordinal(succ(succ(succ(X0)))) ),
    inference(resolution,[],[f715,f1268]) ).

fof(f1847,plain,
    ! [X0] :
      ( in(X0,succ(succ(succ(succ(succ(succ(succ(X0))))))))
      | ~ ordinal(X0)
      | ~ ordinal(succ(succ(succ(succ(succ(X0))))))
      | ~ ordinal(succ(succ(X0))) ),
    inference(resolution,[],[f715,f1413]) ).

fof(f1846,plain,
    ! [X0] :
      ( in(X0,succ(succ(succ(sK3(succ(succ(X0)))))))
      | ~ ordinal(X0)
      | ~ ordinal(succ(sK3(succ(succ(X0)))))
      | being_limit_ordinal(succ(succ(X0)))
      | ~ ordinal(succ(succ(X0))) ),
    inference(resolution,[],[f715,f184]) ).

fof(f1845,plain,
    ! [X0] :
      ( in(X0,succ(succ(succ(succ(succ(X0))))))
      | ~ ordinal(X0)
      | ~ ordinal(succ(succ(succ(X0)))) ),
    inference(resolution,[],[f715,f281]) ).

fof(f1843,plain,
    ! [X0,X1] :
      ( in(X0,succ(succ(X1)))
      | ~ ordinal(X0)
      | ~ ordinal(X1)
      | ~ in(succ(succ(X0)),X1) ),
    inference(resolution,[],[f715,f205]) ).

fof(f1841,plain,
    ! [X2,X0,X1] :
      ( in(X0,succ(succ(X1)))
      | ~ ordinal(X0)
      | ~ ordinal(X1)
      | element(X1,X2)
      | ~ ordinal(X2)
      | ~ ordinal(succ(succ(X0)))
      | ordinal_subset(X2,succ(succ(X0))) ),
    inference(resolution,[],[f715,f837]) ).

fof(f1840,plain,
    ! [X2,X0,X1] :
      ( in(X0,succ(succ(X1)))
      | ~ ordinal(X0)
      | ~ ordinal(X1)
      | element(X1,succ(X2))
      | ~ ordinal(succ(succ(X0)))
      | ~ ordinal(X2)
      | in(X2,succ(succ(X0))) ),
    inference(resolution,[],[f715,f844]) ).

fof(f1864,plain,
    ! [X0] :
      ( in(X0,succ(succ(succ(succ(X0)))))
      | ~ ordinal(X0)
      | ~ ordinal(succ(succ(X0)))
      | ~ being_limit_ordinal(succ(succ(X0))) ),
    inference(duplicate_literal_removal,[],[f1839]) ).

fof(f1839,plain,
    ! [X0] :
      ( in(X0,succ(succ(succ(succ(X0)))))
      | ~ ordinal(X0)
      | ~ ordinal(succ(succ(X0)))
      | ~ ordinal(succ(succ(X0)))
      | ~ being_limit_ordinal(succ(succ(X0))) ),
    inference(resolution,[],[f715,f538]) ).

fof(f1881,plain,
    ! [X0,X1] :
      ( in(X0,succ(succ(X1)))
      | ~ ordinal(X0)
      | ~ ordinal(X1)
      | ~ being_limit_ordinal(X1)
      | ~ in(succ(X0),X1) ),
    inference(subsumption_resolution,[],[f1865,f180]) ).

fof(f1865,plain,
    ! [X0,X1] :
      ( in(X0,succ(succ(X1)))
      | ~ ordinal(X0)
      | ~ ordinal(X1)
      | ~ ordinal(succ(X0))
      | ~ being_limit_ordinal(X1)
      | ~ in(succ(X0),X1) ),
    inference(duplicate_literal_removal,[],[f1838]) ).

fof(f1838,plain,
    ! [X0,X1] :
      ( in(X0,succ(succ(X1)))
      | ~ ordinal(X0)
      | ~ ordinal(X1)
      | ~ ordinal(succ(X0))
      | ~ being_limit_ordinal(X1)
      | ~ ordinal(X1)
      | ~ in(succ(X0),X1) ),
    inference(resolution,[],[f715,f526]) ).

fof(f1880,plain,
    ! [X2,X0,X1] :
      ( in(X0,succ(succ(X1)))
      | ~ ordinal(X0)
      | ~ ordinal(X1)
      | element(X1,X2)
      | ~ ordinal(X2)
      | ~ in(succ(X0),X2) ),
    inference(subsumption_resolution,[],[f1837,f180]) ).

fof(f1837,plain,
    ! [X2,X0,X1] :
      ( in(X0,succ(succ(X1)))
      | ~ ordinal(X0)
      | ~ ordinal(X1)
      | element(X1,X2)
      | ~ ordinal(X2)
      | ~ in(succ(X0),X2)
      | ~ ordinal(succ(X0)) ),
    inference(resolution,[],[f715,f845]) ).

fof(f1866,plain,
    ! [X0] :
      ( in(X0,succ(succ(powerset(succ(succ(X0))))))
      | ~ ordinal(powerset(succ(succ(X0))))
      | ~ ordinal(X0)
      | ~ ordinal(succ(succ(X0)))
      | empty(powerset(succ(succ(X0)))) ),
    inference(duplicate_literal_removal,[],[f1836]) ).

fof(f1836,plain,
    ! [X0] :
      ( in(X0,succ(succ(powerset(succ(succ(X0))))))
      | ~ ordinal(powerset(succ(succ(X0))))
      | ~ ordinal(X0)
      | ~ ordinal(succ(succ(X0)))
      | empty(powerset(succ(succ(X0))))
      | ~ ordinal(powerset(succ(succ(X0)))) ),
    inference(resolution,[],[f715,f1470]) ).

fof(f1835,plain,
    ! [X0,X1] :
      ( in(X0,succ(succ(powerset(X1))))
      | ~ ordinal(powerset(X1))
      | ~ ordinal(X0)
      | ~ subset(succ(succ(X0)),X1)
      | empty(powerset(X1)) ),
    inference(resolution,[],[f715,f439]) ).

fof(f1879,plain,
    ! [X0,X1] :
      ( in(X0,succ(succ(succ(succ(X1)))))
      | ~ ordinal(X0)
      | ~ ordinal(succ(succ(X0)))
      | element(X1,succ(succ(X0)))
      | ~ ordinal(succ(X1)) ),
    inference(subsumption_resolution,[],[f1834,f180]) ).

fof(f1834,plain,
    ! [X0,X1] :
      ( in(X0,succ(succ(succ(succ(X1)))))
      | ~ ordinal(succ(succ(X1)))
      | ~ ordinal(X0)
      | ~ ordinal(succ(succ(X0)))
      | element(X1,succ(succ(X0)))
      | ~ ordinal(succ(X1)) ),
    inference(resolution,[],[f715,f1614]) ).

fof(f1878,plain,
    ! [X0,X1] :
      ( in(X0,succ(succ(succ(X1))))
      | ~ ordinal(X0)
      | ~ ordinal(succ(succ(X0)))
      | ~ ordinal(X1)
      | in(X1,succ(succ(succ(X0)))) ),
    inference(subsumption_resolution,[],[f1833,f180]) ).

fof(f1833,plain,
    ! [X0,X1] :
      ( in(X0,succ(succ(succ(X1))))
      | ~ ordinal(succ(X1))
      | ~ ordinal(X0)
      | ~ ordinal(succ(succ(X0)))
      | ~ ordinal(X1)
      | in(X1,succ(succ(succ(X0)))) ),
    inference(resolution,[],[f715,f682]) ).

fof(f1877,plain,
    ! [X0,X1] :
      ( in(X0,succ(succ(succ(X1))))
      | ~ ordinal(X0)
      | ~ ordinal(X1)
      | ~ in(succ(succ(X0)),X1)
      | ~ ordinal(succ(succ(X0)))
      | ~ being_limit_ordinal(X1) ),
    inference(subsumption_resolution,[],[f1832,f180]) ).

fof(f1832,plain,
    ! [X0,X1] :
      ( in(X0,succ(succ(succ(X1))))
      | ~ ordinal(succ(X1))
      | ~ ordinal(X0)
      | ~ ordinal(X1)
      | ~ in(succ(succ(X0)),X1)
      | ~ ordinal(succ(succ(X0)))
      | ~ being_limit_ordinal(X1) ),
    inference(resolution,[],[f715,f891]) ).

fof(f1867,plain,
    ! [X0,X1] :
      ( in(X0,succ(succ(succ(X1))))
      | ~ ordinal(succ(X1))
      | ~ ordinal(X0)
      | ~ ordinal(succ(succ(X0)))
      | in(X1,succ(succ(succ(X0)))) ),
    inference(duplicate_literal_removal,[],[f1831]) ).

fof(f1831,plain,
    ! [X0,X1] :
      ( in(X0,succ(succ(succ(X1))))
      | ~ ordinal(succ(X1))
      | ~ ordinal(X0)
      | ~ ordinal(succ(succ(X0)))
      | ~ ordinal(succ(X1))
      | in(X1,succ(succ(succ(X0)))) ),
    inference(resolution,[],[f715,f1222]) ).

fof(f1876,plain,
    ! [X0,X1] :
      ( in(X0,succ(succ(succ(X1))))
      | ~ ordinal(X0)
      | ~ ordinal(X1)
      | ~ ordinal(succ(succ(succ(X0))))
      | in(X1,succ(succ(succ(X0)))) ),
    inference(subsumption_resolution,[],[f1830,f180]) ).

fof(f1830,plain,
    ! [X0,X1] :
      ( in(X0,succ(succ(succ(X1))))
      | ~ ordinal(succ(X1))
      | ~ ordinal(X0)
      | ~ ordinal(X1)
      | ~ ordinal(succ(succ(succ(X0))))
      | in(X1,succ(succ(succ(X0)))) ),
    inference(resolution,[],[f715,f1235]) ).

fof(f1868,plain,
    ! [X0] :
      ( in(X0,succ(succ(succ(succ(succ(succ(X0)))))))
      | ~ ordinal(succ(succ(succ(succ(X0)))))
      | ~ ordinal(X0)
      | ~ being_limit_ordinal(succ(succ(X0)))
      | ~ ordinal(succ(succ(X0))) ),
    inference(duplicate_literal_removal,[],[f1829]) ).

fof(f1829,plain,
    ! [X0] :
      ( in(X0,succ(succ(succ(succ(succ(succ(X0)))))))
      | ~ ordinal(succ(succ(succ(succ(X0)))))
      | ~ ordinal(X0)
      | ~ being_limit_ordinal(succ(succ(X0)))
      | ~ ordinal(succ(succ(X0)))
      | ~ ordinal(succ(succ(succ(succ(X0))))) ),
    inference(resolution,[],[f715,f734]) ).

fof(f1875,plain,
    ! [X0] :
      ( in(X0,succ(succ(succ(succ(succ(succ(X0)))))))
      | ~ ordinal(X0)
      | ~ being_limit_ordinal(succ(succ(succ(X0))))
      | ~ ordinal(succ(succ(succ(X0)))) ),
    inference(subsumption_resolution,[],[f1828,f180]) ).

fof(f1828,plain,
    ! [X0] :
      ( in(X0,succ(succ(succ(succ(succ(succ(X0)))))))
      | ~ ordinal(succ(succ(succ(succ(X0)))))
      | ~ ordinal(X0)
      | ~ being_limit_ordinal(succ(succ(succ(X0))))
      | ~ ordinal(succ(succ(succ(X0)))) ),
    inference(resolution,[],[f715,f1289]) ).

fof(f1874,plain,
    ! [X0] :
      ( in(X0,succ(succ(succ(succ(succ(succ(succ(X0))))))))
      | ~ ordinal(X0)
      | ~ ordinal(succ(succ(X0)))
      | ~ ordinal(succ(succ(succ(succ(X0))))) ),
    inference(subsumption_resolution,[],[f1827,f180]) ).

fof(f1827,plain,
    ! [X0] :
      ( in(X0,succ(succ(succ(succ(succ(succ(succ(X0))))))))
      | ~ ordinal(succ(succ(succ(succ(succ(X0))))))
      | ~ ordinal(X0)
      | ~ ordinal(succ(succ(X0)))
      | ~ ordinal(succ(succ(succ(succ(X0))))) ),
    inference(resolution,[],[f715,f719]) ).

fof(f1826,plain,
    ! [X0] :
      ( in(X0,succ(succ(succ(succ(succ(succ(succ(X0))))))))
      | ~ ordinal(succ(succ(succ(succ(succ(X0))))))
      | ~ ordinal(X0)
      | ~ ordinal(succ(succ(succ(X0)))) ),
    inference(resolution,[],[f715,f1268]) ).

fof(f1825,plain,
    ! [X0] :
      ( in(X0,succ(succ(succ(succ(succ(succ(succ(X0))))))))
      | ~ ordinal(succ(succ(succ(succ(succ(X0))))))
      | ~ ordinal(X0)
      | ~ ordinal(succ(succ(X0))) ),
    inference(resolution,[],[f715,f1413]) ).

fof(f1873,plain,
    ! [X0] :
      ( in(X0,succ(succ(succ(sK3(succ(succ(X0)))))))
      | ~ ordinal(succ(sK3(succ(succ(X0)))))
      | ~ ordinal(X0) ),
    inference(global_subsumption,[],[f158,f160,f162,f166,f177,f248,f156,f159,f167,f168,f169,f219,f220,f221,f222,f223,f224,f225,f227,f228,f229,f230,f241,f242,f243,f244,f246,f170,f198,f157,f155,f171,f175,f190,f191,f192,f196,f153,f172,f178,f179,f180,f189,f259,f260,f261,f262,f199,f216,f193,f201,f202,f203,f205,f281,f206,f154,f173,f182,f200,f286,f289,f292,f285,f300,f295,f207,f213,f323,f214,f215,f324,f183,f338,f204,f340,f343,f335,f184,f212,f218,f348,f352,f354,f361,f362,f363,f364,f355,f369,f370,f373,f368,f174,f349,f350,f353,f356,f208,f209,f210,f217,f427,f428,f342,f441,f429,f347,f449,f351,f421,f460,f432,f461,f439,f450,f185,f459,f472,f471,f475,f476,f466,f492,f493,f494,f496,f501,f490,f186,f522,f181,f528,f529,f540,f541,f533,f535,f538,f546,f521,f337,f553,f555,f556,f423,f393,f562,f563,f489,f577,f578,f579,f580,f581,f403,f588,f589,f590,f502,f610,f611,f612,f420,f641,f642,f636,f646,f644,f649,f657,f653,f667,f651,f443,f679,f552,f686,f689,f691,f701,f693,f463,f702,f703,f704,f705,f682,f713,f707,f717,f710,f684,f724,f722,f526,f736,f733,f740,f745,f746,f719,f753,f755,f757,f750,f582,f664,f675,f765,f767,f769,f768,f390,f789,f788,f770,f771,f787,f812,f813,f814,f815,f816,f817,f818,f790,f436,f838,f635,f853,f854,f542,f856,f431,f857,f858,f859,f865,f557,f884,f885,f886,f887,f735,f893,f901,f903,f905,f897,f837,f921,f922,f923,f924,f911,f920,f919,f917,f906,f932,f931,f852,f951,f447,f957,f958,f959,f955,f956,f734,f964,f811,f891,f982,f984,f986,f988,f977,f916,f989,f990,f991,f918,f995,f996,f997,f950,f1004,f499,f1009,f1010,f1011,f1012,f500,f1037,f1038,f1039,f1040,f933,f994,f1076,f1075,f1074,f1077,f1062,f1063,f1064,f1078,f1066,f1079,f1080,f1069,f1070,f1071,f1072,f999,f1099,f1098,f1103,f1087,f1088,f1089,f1106,f1107,f1108,f1094,f1095,f1096,f1097,f1101,f1114,f1115,f1105,f1120,f1119,f1002,f1130,f1129,f1007,f1203,f1202,f1137,f1138,f1139,f1199,f1205,f1206,f1145,f1146,f1198,f1196,f1192,f1191,f1162,f1163,f1164,f1188,f1207,f1208,f1170,f1171,f1187,f1185,f645,f1215,f1217,f1212,f1055,f1252,f1250,f1256,f1248,f1257,f1258,f1230,f1259,f1237,f1261,f1262,f1263,f1264,f1243,f1255,f1266,f1270,f1271,f1272,f1268,f1274,f1283,f1276,f1277,f1284,f1278,f1285,f1279,f1253,f1295,f1296,f1293,f1289,f1298,f1308,f1309,f1310,f1303,f1059,f1323,f1324,f1325,f1317,f1318,f1319,f1084,f1338,f1340,f1332,f1333,f1341,f1222,f1366,f1363,f1367,f1368,f1369,f1370,f1371,f1352,f1235,f1373,f1374,f1388,f1390,f1391,f1392,f1393,f1394,f1395,f1379,f1396,f1397,f1381,f1398,f1382,f647,f1408,f1409,f1402,f1404,f1387,f1411,f1422,f1420,f1423,f1424,f1413,f1440,f1438,f1441,f1442,f1443,f1431,f1419,f1444,f444,f1468,f1467,f1462,f1461,f1471,f1470,f1489,f1487,f1490,f1491,f1492,f1477,f1483,f1482,f462,f1493,f1494,f1495,f1497,f1498,f1500,f1501,f1499,f1502,f1503,f1504,f1505,f1506,f1507,f1508,f1509,f1510,f1511,f468,f1513,f1512,f1514,f741,f1526,f1525,f1527,f1528,f1529,f1521,f699,f1541,f1542,f1533,f1543,f1544,f1546,f1548,f1539,f844,f1579,f1578,f1580,f1581,f1582,f1555,f1556,f1583,f1584,f1585,f1560,f1577,f1576,f1575,f1574,f1573,f1572,f1568,f1569,f1571,f845,f1612,f1613,f1611,f1610,f1609,f1592,f1608,f1607,f1606,f1615,f1616,f1617,f1620,f1604,f1622,f1619,f1623,f1624,f1625,f1621,f1628,f1629,f1630,f1627,f1659,f1658,f1661,f1662,f1641,f1642,f1643,f1663,f1664,f1646,f1665,f1649,f1650,f1656,f1652,f1654,f1632,f1692,f1691,f1694,f1695,f1674,f1675,f1676,f1696,f1697,f1679,f1698,f1682,f1683,f1689,f1685,f1687,f1637,f1712,f1713,f1714,f1705,f1706,f1707,f1708,f1709,f1670,f1728,f1729,f1730,f1721,f1722,f1723,f1724,f1725,f530,f1734,f1741,f1736,f1737,f1614,f1762,f1743,f1763,f1764,f1766,f1768,f1770,f1771,f1750,f1772,f1774,f1775,f1777,f1754,f1778,f1779,f862,f1780,f1781,f1782,f1783,f1785,f1800,f1787,f1788,f1789,f1801,f1802,f1792,f1793,f1803,f1804,f1796,f1797,f1798,f495,f1808,f1809,f1810,f1813,f715,f1871,f1872,f1869,f1818,f1819,f1821,f1823,f1824]) ).

fof(f1824,plain,
    ! [X0] :
      ( in(X0,succ(succ(succ(sK3(succ(succ(X0)))))))
      | ~ ordinal(succ(sK3(succ(succ(X0)))))
      | ~ ordinal(X0)
      | being_limit_ordinal(succ(succ(X0)))
      | ~ ordinal(succ(succ(X0))) ),
    inference(resolution,[],[f715,f184]) ).

fof(f1823,plain,
    ! [X0] :
      ( in(X0,succ(succ(succ(succ(succ(X0))))))
      | ~ ordinal(succ(succ(succ(X0))))
      | ~ ordinal(X0) ),
    inference(resolution,[],[f715,f281]) ).

fof(f1819,plain,
    ! [X2,X0,X1] :
      ( in(X0,succ(succ(X1)))
      | ~ ordinal(X1)
      | ~ ordinal(X0)
      | element(X1,X2)
      | ~ ordinal(X2)
      | ~ ordinal(succ(succ(X0)))
      | ordinal_subset(X2,succ(succ(X0))) ),
    inference(resolution,[],[f715,f837]) ).

fof(f1818,plain,
    ! [X2,X0,X1] :
      ( in(X0,succ(succ(X1)))
      | ~ ordinal(X1)
      | ~ ordinal(X0)
      | element(X1,succ(X2))
      | ~ ordinal(succ(succ(X0)))
      | ~ ordinal(X2)
      | in(X2,succ(succ(X0))) ),
    inference(resolution,[],[f715,f844]) ).

fof(f1869,plain,
    ! [X0] :
      ( in(X0,succ(succ(succ(succ(X0)))))
      | ~ ordinal(succ(succ(X0)))
      | ~ ordinal(X0)
      | ~ being_limit_ordinal(succ(succ(X0))) ),
    inference(duplicate_literal_removal,[],[f1817]) ).

fof(f1817,plain,
    ! [X0] :
      ( in(X0,succ(succ(succ(succ(X0)))))
      | ~ ordinal(succ(succ(X0)))
      | ~ ordinal(X0)
      | ~ ordinal(succ(succ(X0)))
      | ~ being_limit_ordinal(succ(succ(X0))) ),
    inference(resolution,[],[f715,f538]) ).

fof(f1872,plain,
    ! [X0,X1] :
      ( in(X0,succ(succ(X1)))
      | ~ ordinal(X1)
      | ~ ordinal(X0)
      | ~ being_limit_ordinal(X1)
      | ~ in(succ(X0),X1) ),
    inference(subsumption_resolution,[],[f1870,f180]) ).

fof(f1870,plain,
    ! [X0,X1] :
      ( in(X0,succ(succ(X1)))
      | ~ ordinal(X1)
      | ~ ordinal(X0)
      | ~ ordinal(succ(X0))
      | ~ being_limit_ordinal(X1)
      | ~ in(succ(X0),X1) ),
    inference(duplicate_literal_removal,[],[f1816]) ).

fof(f1816,plain,
    ! [X0,X1] :
      ( in(X0,succ(succ(X1)))
      | ~ ordinal(X1)
      | ~ ordinal(X0)
      | ~ ordinal(succ(X0))
      | ~ being_limit_ordinal(X1)
      | ~ ordinal(X1)
      | ~ in(succ(X0),X1) ),
    inference(resolution,[],[f715,f526]) ).

fof(f1871,plain,
    ! [X2,X0,X1] :
      ( in(X0,succ(succ(X1)))
      | ~ ordinal(X1)
      | ~ ordinal(X0)
      | element(X1,X2)
      | ~ ordinal(X2)
      | ~ in(succ(X0),X2) ),
    inference(subsumption_resolution,[],[f1815,f180]) ).

fof(f1815,plain,
    ! [X2,X0,X1] :
      ( in(X0,succ(succ(X1)))
      | ~ ordinal(X1)
      | ~ ordinal(X0)
      | element(X1,X2)
      | ~ ordinal(X2)
      | ~ in(succ(X0),X2)
      | ~ ordinal(succ(X0)) ),
    inference(resolution,[],[f715,f845]) ).

fof(f715,plain,
    ! [X0,X1] :
      ( in(X1,succ(succ(X0)))
      | in(X0,succ(succ(X1)))
      | ~ ordinal(X1)
      | ~ ordinal(X0) ),
    inference(subsumption_resolution,[],[f714,f180]) ).

fof(f714,plain,
    ! [X0,X1] :
      ( ~ ordinal(X1)
      | in(X1,succ(succ(X0)))
      | in(X0,succ(succ(X1)))
      | ~ ordinal(X0)
      | ~ ordinal(succ(X1)) ),
    inference(subsumption_resolution,[],[f708,f180]) ).

fof(f708,plain,
    ! [X0,X1] :
      ( ~ ordinal(succ(X0))
      | ~ ordinal(X1)
      | in(X1,succ(succ(X0)))
      | in(X0,succ(succ(X1)))
      | ~ ordinal(X0)
      | ~ ordinal(succ(X1)) ),
    inference(resolution,[],[f682,f552]) ).

fof(f1810,plain,
    ! [X0] :
      ( empty(sK4(powerset(sK4(powerset(powerset(X0))))))
      | subset(sK4(sK4(powerset(sK4(powerset(powerset(X0)))))),X0) ),
    inference(resolution,[],[f495,f213]) ).

fof(f1809,plain,
    ! [X0,X1] :
      ( empty(sK4(powerset(sK4(powerset(powerset(X0))))))
      | ~ empty(X0)
      | ~ in(X1,sK4(sK4(powerset(sK4(powerset(powerset(X0))))))) ),
    inference(resolution,[],[f495,f218]) ).

fof(f1808,plain,
    ! [X0,X1] :
      ( empty(sK4(powerset(sK4(powerset(powerset(X0))))))
      | element(X1,X0)
      | ~ in(X1,sK4(sK4(powerset(sK4(powerset(powerset(X0))))))) ),
    inference(resolution,[],[f495,f217]) ).

fof(f495,plain,
    ! [X0] :
      ( element(sK4(sK4(powerset(sK4(powerset(X0))))),X0)
      | empty(sK4(powerset(sK4(powerset(X0))))) ),
    inference(resolution,[],[f466,f427]) ).

fof(f1798,plain,
    ! [X0] :
      ( ~ ordinal(sK4(powerset(sK4(sK4(powerset(powerset(X0)))))))
      | being_limit_ordinal(sK4(powerset(sK4(sK4(powerset(powerset(X0)))))))
      | ~ empty(X0)
      | empty(sK4(powerset(powerset(X0)))) ),
    inference(resolution,[],[f862,f462]) ).

fof(f1796,plain,
    ! [X0] :
      ( ~ ordinal(sK4(powerset(sK4(powerset(X0)))))
      | being_limit_ordinal(sK4(powerset(sK4(powerset(X0)))))
      | element(sK3(sK4(powerset(sK4(powerset(X0))))),X0) ),
    inference(resolution,[],[f862,f427]) ).

fof(f1804,plain,
    ! [X0] :
      ( ~ ordinal(sK4(powerset(sK4(succ(X0)))))
      | being_limit_ordinal(sK4(powerset(sK4(succ(X0)))))
      | ~ ordinal(X0)
      | ~ in(X0,sK3(sK4(powerset(sK4(succ(X0)))))) ),
    inference(subsumption_resolution,[],[f1795,f182]) ).

fof(f1795,plain,
    ! [X0] :
      ( ~ ordinal(sK4(powerset(sK4(succ(X0)))))
      | being_limit_ordinal(sK4(powerset(sK4(succ(X0)))))
      | ~ ordinal(X0)
      | ~ ordinal(sK3(sK4(powerset(sK4(succ(X0))))))
      | ~ in(X0,sK3(sK4(powerset(sK4(succ(X0)))))) ),
    inference(resolution,[],[f862,f1670]) ).

fof(f1803,plain,
    ! [X0] :
      ( ~ ordinal(sK4(powerset(sK4(X0))))
      | being_limit_ordinal(sK4(powerset(sK4(X0))))
      | ordinal_subset(sK3(sK4(powerset(sK4(X0)))),X0)
      | empty(X0)
      | ~ ordinal(X0) ),
    inference(subsumption_resolution,[],[f1794,f182]) ).

fof(f1794,plain,
    ! [X0] :
      ( ~ ordinal(sK4(powerset(sK4(X0))))
      | being_limit_ordinal(sK4(powerset(sK4(X0))))
      | ordinal_subset(sK3(sK4(powerset(sK4(X0)))),X0)
      | empty(X0)
      | ~ ordinal(sK3(sK4(powerset(sK4(X0)))))
      | ~ ordinal(X0) ),
    inference(resolution,[],[f862,f1059]) ).

fof(f1793,plain,
    ! [X0] :
      ( ~ ordinal(sK4(powerset(sK3(powerset(X0)))))
      | being_limit_ordinal(sK4(powerset(sK3(powerset(X0)))))
      | ~ empty(X0)
      | being_limit_ordinal(powerset(X0))
      | ~ ordinal(powerset(X0)) ),
    inference(resolution,[],[f862,f390]) ).

fof(f1792,plain,
    ! [X0] :
      ( ~ ordinal(sK4(powerset(sK3(powerset(X0)))))
      | being_limit_ordinal(sK4(powerset(sK3(powerset(X0)))))
      | element(sK3(sK4(powerset(sK3(powerset(X0))))),X0)
      | being_limit_ordinal(powerset(X0))
      | ~ ordinal(powerset(X0)) ),
    inference(resolution,[],[f862,f447]) ).

fof(f1802,plain,
    ! [X0] :
      ( ~ ordinal(sK4(powerset(sK3(succ(X0)))))
      | being_limit_ordinal(sK4(powerset(sK3(succ(X0)))))
      | ~ ordinal(X0)
      | ~ in(X0,sK3(sK4(powerset(sK3(succ(X0)))))) ),
    inference(subsumption_resolution,[],[f1791,f182]) ).

fof(f1791,plain,
    ! [X0] :
      ( ~ ordinal(sK4(powerset(sK3(succ(X0)))))
      | being_limit_ordinal(sK4(powerset(sK3(succ(X0)))))
      | ~ ordinal(X0)
      | ~ ordinal(sK3(sK4(powerset(sK3(succ(X0))))))
      | ~ in(X0,sK3(sK4(powerset(sK3(succ(X0)))))) ),
    inference(resolution,[],[f862,f1637]) ).

fof(f1801,plain,
    ! [X0] :
      ( ~ ordinal(sK4(powerset(sK3(X0))))
      | being_limit_ordinal(sK4(powerset(sK3(X0))))
      | ordinal_subset(sK3(sK4(powerset(sK3(X0)))),X0)
      | being_limit_ordinal(X0)
      | ~ ordinal(X0) ),
    inference(subsumption_resolution,[],[f1790,f182]) ).

fof(f1790,plain,
    ! [X0] :
      ( ~ ordinal(sK4(powerset(sK3(X0))))
      | being_limit_ordinal(sK4(powerset(sK3(X0))))
      | ordinal_subset(sK3(sK4(powerset(sK3(X0)))),X0)
      | being_limit_ordinal(X0)
      | ~ ordinal(sK3(sK4(powerset(sK3(X0)))))
      | ~ ordinal(X0) ),
    inference(resolution,[],[f862,f1084]) ).

fof(f1789,plain,
    ! [X0] :
      ( ~ ordinal(sK4(powerset(powerset(X0))))
      | being_limit_ordinal(sK4(powerset(powerset(X0))))
      | subset(sK3(sK4(powerset(powerset(X0)))),X0) ),
    inference(resolution,[],[f862,f324]) ).

fof(f1788,plain,
    ! [X0,X1] :
      ( ~ ordinal(sK4(powerset(powerset(X0))))
      | being_limit_ordinal(sK4(powerset(powerset(X0))))
      | ~ in(X1,sK3(sK4(powerset(powerset(X0)))))
      | ~ empty(X0) ),
    inference(resolution,[],[f862,f350]) ).

fof(f1787,plain,
    ! [X0,X1] :
      ( ~ ordinal(sK4(powerset(powerset(X0))))
      | being_limit_ordinal(sK4(powerset(powerset(X0))))
      | ~ in(X1,sK3(sK4(powerset(powerset(X0)))))
      | element(X1,X0) ),
    inference(resolution,[],[f862,f429]) ).

fof(f1800,plain,
    ! [X0] :
      ( ~ ordinal(sK4(powerset(succ(X0))))
      | being_limit_ordinal(sK4(powerset(succ(X0))))
      | ~ ordinal(X0)
      | ~ being_limit_ordinal(sK3(sK4(powerset(succ(X0)))))
      | ~ in(X0,sK3(sK4(powerset(succ(X0))))) ),
    inference(subsumption_resolution,[],[f1786,f182]) ).

fof(f1786,plain,
    ! [X0] :
      ( ~ ordinal(sK4(powerset(succ(X0))))
      | being_limit_ordinal(sK4(powerset(succ(X0))))
      | ~ ordinal(X0)
      | ~ being_limit_ordinal(sK3(sK4(powerset(succ(X0)))))
      | ~ ordinal(sK3(sK4(powerset(succ(X0)))))
      | ~ in(X0,sK3(sK4(powerset(succ(X0))))) ),
    inference(resolution,[],[f862,f526]) ).

fof(f1785,plain,
    ! [X0,X1] :
      ( ~ ordinal(sK4(powerset(succ(X0))))
      | being_limit_ordinal(sK4(powerset(succ(X0))))
      | element(sK3(sK4(powerset(succ(X0)))),X1)
      | ~ ordinal(X1)
      | ~ in(X0,X1)
      | ~ ordinal(X0) ),
    inference(resolution,[],[f862,f845]) ).

fof(f1782,plain,
    ! [X0,X1] :
      ( ~ ordinal(sK4(powerset(X0)))
      | being_limit_ordinal(sK4(powerset(X0)))
      | ~ ordinal(X0)
      | ~ empty(X1)
      | ordinal_subset(X1,X0) ),
    inference(resolution,[],[f862,f459]) ).

fof(f1781,plain,
    ! [X0,X1] :
      ( ~ ordinal(sK4(powerset(X0)))
      | being_limit_ordinal(sK4(powerset(X0)))
      | element(sK3(sK4(powerset(X0))),X1)
      | ~ ordinal(X1)
      | ~ ordinal(X0)
      | ordinal_subset(X1,X0) ),
    inference(resolution,[],[f862,f837]) ).

fof(f1780,plain,
    ! [X0,X1] :
      ( ~ ordinal(sK4(powerset(X0)))
      | being_limit_ordinal(sK4(powerset(X0)))
      | element(sK3(sK4(powerset(X0))),succ(X1))
      | ~ ordinal(X0)
      | ~ ordinal(X1)
      | in(X1,X0) ),
    inference(resolution,[],[f862,f844]) ).

fof(f862,plain,
    ! [X0] :
      ( in(sK3(sK4(powerset(X0))),X0)
      | ~ ordinal(sK4(powerset(X0)))
      | being_limit_ordinal(sK4(powerset(X0))) ),
    inference(subsumption_resolution,[],[f860,f351]) ).

fof(f860,plain,
    ! [X0] :
      ( being_limit_ordinal(sK4(powerset(X0)))
      | ~ ordinal(sK4(powerset(X0)))
      | empty(X0)
      | in(sK3(sK4(powerset(X0))),X0) ),
    inference(resolution,[],[f431,f204]) ).

fof(f1779,plain,
    ! [X0,X1] :
      ( ~ ordinal(X0)
      | element(X1,X0)
      | ~ ordinal(succ(X1))
      | in(X0,succ(succ(X1)))
      | succ(succ(X1)) = X0 ),
    inference(subsumption_resolution,[],[f1759,f180]) ).

fof(f1759,plain,
    ! [X0,X1] :
      ( ~ ordinal(X0)
      | element(X1,X0)
      | ~ ordinal(succ(X1))
      | in(X0,succ(succ(X1)))
      | ~ ordinal(succ(succ(X1)))
      | succ(succ(X1)) = X0 ),
    inference(duplicate_literal_removal,[],[f1756]) ).

fof(f1756,plain,
    ! [X0,X1] :
      ( ~ ordinal(X0)
      | element(X1,X0)
      | ~ ordinal(succ(X1))
      | in(X0,succ(succ(X1)))
      | ~ ordinal(X0)
      | ~ ordinal(succ(succ(X1)))
      | succ(succ(X1)) = X0 ),
    inference(resolution,[],[f1614,f1007]) ).

fof(f1778,plain,
    ! [X0,X1] :
      ( ~ ordinal(X0)
      | element(X1,X0)
      | ~ ordinal(succ(X1))
      | in(X0,succ(succ(X1)))
      | succ(succ(X1)) = X0 ),
    inference(subsumption_resolution,[],[f1760,f180]) ).

fof(f1760,plain,
    ! [X0,X1] :
      ( ~ ordinal(X0)
      | element(X1,X0)
      | ~ ordinal(succ(X1))
      | in(X0,succ(succ(X1)))
      | ~ ordinal(succ(succ(X1)))
      | succ(succ(X1)) = X0 ),
    inference(duplicate_literal_removal,[],[f1755]) ).

fof(f1755,plain,
    ! [X0,X1] :
      ( ~ ordinal(X0)
      | element(X1,X0)
      | ~ ordinal(succ(X1))
      | in(X0,succ(succ(X1)))
      | ~ ordinal(succ(succ(X1)))
      | ~ ordinal(X0)
      | succ(succ(X1)) = X0 ),
    inference(resolution,[],[f1614,f1007]) ).

fof(f1754,plain,
    ! [X0,X1] :
      ( ~ ordinal(powerset(X0))
      | element(X1,powerset(X0))
      | ~ ordinal(succ(X1))
      | empty(powerset(X0))
      | ~ subset(succ(succ(X1)),X0) ),
    inference(resolution,[],[f1614,f342]) ).

fof(f1777,plain,
    ! [X0] :
      ( element(X0,succ(succ(sK3(succ(succ(succ(X0)))))))
      | ~ ordinal(succ(X0))
      | ~ ordinal(succ(sK3(succ(succ(succ(X0)))))) ),
    inference(subsumption_resolution,[],[f1776,f180]) ).

fof(f1776,plain,
    ! [X0] :
      ( element(X0,succ(succ(sK3(succ(succ(succ(X0)))))))
      | ~ ordinal(succ(X0))
      | ~ ordinal(succ(sK3(succ(succ(succ(X0))))))
      | ~ ordinal(succ(succ(X0))) ),
    inference(subsumption_resolution,[],[f1753,f180]) ).

fof(f1753,plain,
    ! [X0] :
      ( ~ ordinal(succ(succ(sK3(succ(succ(succ(X0)))))))
      | element(X0,succ(succ(sK3(succ(succ(succ(X0)))))))
      | ~ ordinal(succ(X0))
      | ~ ordinal(succ(sK3(succ(succ(succ(X0))))))
      | ~ ordinal(succ(succ(X0))) ),
    inference(resolution,[],[f1614,f699]) ).

fof(f1775,plain,
    ! [X0] :
      ( element(X0,succ(succ(succ(succ(X0)))))
      | ~ ordinal(succ(X0))
      | ~ ordinal(succ(succ(succ(X0))))
      | ~ being_limit_ordinal(succ(succ(succ(X0)))) ),
    inference(subsumption_resolution,[],[f1752,f180]) ).

fof(f1752,plain,
    ! [X0] :
      ( ~ ordinal(succ(succ(succ(succ(X0)))))
      | element(X0,succ(succ(succ(succ(X0)))))
      | ~ ordinal(succ(X0))
      | ~ ordinal(succ(succ(succ(X0))))
      | ~ being_limit_ordinal(succ(succ(succ(X0)))) ),
    inference(resolution,[],[f1614,f1253]) ).

fof(f1774,plain,
    ! [X0] :
      ( element(X0,succ(succ(succ(succ(succ(X0))))))
      | ~ ordinal(succ(X0))
      | ~ ordinal(succ(succ(succ(succ(X0))))) ),
    inference(subsumption_resolution,[],[f1773,f180]) ).

fof(f1773,plain,
    ! [X0] :
      ( element(X0,succ(succ(succ(succ(succ(X0))))))
      | ~ ordinal(succ(X0))
      | ~ ordinal(succ(succ(succ(succ(X0)))))
      | ~ ordinal(succ(succ(X0))) ),
    inference(subsumption_resolution,[],[f1751,f180]) ).

fof(f1751,plain,
    ! [X0] :
      ( ~ ordinal(succ(succ(succ(succ(succ(X0))))))
      | element(X0,succ(succ(succ(succ(succ(X0))))))
      | ~ ordinal(succ(X0))
      | ~ ordinal(succ(succ(succ(succ(X0)))))
      | ~ ordinal(succ(succ(X0))) ),
    inference(resolution,[],[f1614,f684]) ).

fof(f1772,plain,
    ! [X0] :
      ( ~ ordinal(succ(succ(succ(succ(succ(X0))))))
      | element(X0,succ(succ(succ(succ(succ(X0))))))
      | ~ ordinal(succ(X0)) ),
    inference(global_subsumption,[],[f158,f160,f162,f166,f177,f248,f156,f159,f167,f168,f169,f219,f220,f221,f222,f223,f224,f225,f227,f228,f229,f230,f241,f242,f243,f244,f246,f170,f198,f157,f155,f171,f175,f190,f191,f192,f196,f153,f172,f178,f179,f180,f189,f259,f260,f261,f262,f199,f216,f193,f201,f202,f203,f205,f281,f206,f154,f173,f182,f200,f286,f289,f292,f285,f300,f295,f207,f213,f323,f214,f215,f324,f183,f338,f204,f340,f343,f335,f184,f212,f218,f348,f352,f354,f361,f362,f363,f364,f355,f369,f370,f373,f368,f174,f349,f350,f353,f356,f208,f209,f210,f217,f427,f428,f342,f441,f429,f347,f449,f351,f421,f460,f432,f461,f439,f450,f185,f459,f472,f471,f475,f476,f466,f492,f493,f494,f495,f496,f501,f490,f186,f522,f181,f528,f529,f540,f541,f533,f535,f538,f546,f521,f337,f553,f555,f556,f423,f393,f562,f563,f489,f577,f578,f579,f580,f581,f403,f588,f589,f590,f502,f610,f611,f612,f420,f641,f642,f636,f646,f644,f649,f657,f653,f667,f651,f443,f679,f552,f686,f689,f691,f701,f693,f463,f702,f703,f704,f705,f682,f713,f707,f715,f717,f710,f684,f724,f722,f526,f736,f733,f740,f745,f746,f719,f753,f755,f757,f750,f582,f664,f675,f765,f767,f769,f768,f390,f789,f788,f770,f771,f787,f812,f813,f814,f815,f816,f817,f818,f790,f436,f838,f635,f853,f854,f542,f856,f431,f857,f858,f859,f862,f865,f557,f884,f885,f886,f887,f735,f893,f901,f903,f905,f897,f837,f921,f922,f923,f924,f911,f920,f919,f917,f906,f932,f931,f852,f951,f447,f957,f958,f959,f955,f956,f734,f964,f811,f891,f982,f984,f986,f988,f977,f916,f989,f990,f991,f918,f995,f996,f997,f950,f1004,f499,f1009,f1010,f1011,f1012,f500,f1037,f1038,f1039,f1040,f933,f994,f1076,f1075,f1074,f1077,f1062,f1063,f1064,f1078,f1066,f1079,f1080,f1069,f1070,f1071,f1072,f999,f1099,f1098,f1103,f1087,f1088,f1089,f1106,f1107,f1108,f1094,f1095,f1096,f1097,f1101,f1114,f1115,f1105,f1120,f1119,f1002,f1130,f1129,f1007,f1203,f1202,f1137,f1138,f1139,f1199,f1205,f1206,f1145,f1146,f1198,f1196,f1192,f1191,f1162,f1163,f1164,f1188,f1207,f1208,f1170,f1171,f1187,f1185,f645,f1215,f1217,f1212,f1055,f1252,f1250,f1256,f1248,f1257,f1258,f1230,f1259,f1237,f1261,f1262,f1263,f1264,f1243,f1255,f1266,f1270,f1271,f1272,f1268,f1274,f1283,f1276,f1277,f1284,f1278,f1285,f1279,f1253,f1295,f1296,f1293,f1289,f1298,f1308,f1309,f1310,f1303,f1059,f1323,f1324,f1325,f1317,f1318,f1319,f1084,f1338,f1340,f1332,f1333,f1341,f1222,f1366,f1363,f1367,f1368,f1369,f1370,f1371,f1352,f1235,f1373,f1374,f1388,f1390,f1391,f1392,f1393,f1394,f1395,f1379,f1396,f1397,f1381,f1398,f1382,f647,f1408,f1409,f1402,f1404,f1387,f1411,f1422,f1420,f1423,f1424,f1413,f1440,f1438,f1441,f1442,f1443,f1431,f1419,f1444,f444,f1468,f1467,f1462,f1461,f1471,f1470,f1489,f1487,f1490,f1491,f1492,f1477,f1483,f1482,f462,f1493,f1494,f1495,f1497,f1498,f1500,f1501,f1499,f1502,f1503,f1504,f1505,f1506,f1507,f1508,f1509,f1510,f1511,f468,f1513,f1512,f1514,f741,f1526,f1525,f1527,f1528,f1529,f1521,f699,f1541,f1542,f1533,f1543,f1544,f1546,f1548,f1539,f844,f1579,f1578,f1580,f1581,f1582,f1555,f1556,f1583,f1584,f1585,f1560,f1577,f1576,f1575,f1574,f1573,f1572,f1568,f1569,f1571,f845,f1612,f1613,f1611,f1610,f1609,f1592,f1608,f1607,f1606,f1615,f1616,f1617,f1620,f1604,f1622,f1619,f1623,f1624,f1625,f1621,f1628,f1629,f1630,f1627,f1659,f1658,f1661,f1662,f1641,f1642,f1643,f1663,f1664,f1646,f1665,f1649,f1650,f1656,f1652,f1654,f1632,f1692,f1691,f1694,f1695,f1674,f1675,f1676,f1696,f1697,f1679,f1698,f1682,f1683,f1689,f1685,f1687,f1637,f1712,f1713,f1714,f1705,f1706,f1707,f1708,f1709,f1670,f1728,f1729,f1730,f1721,f1722,f1723,f1724,f1725,f530,f1734,f1741,f1736,f1737,f1614,f1762,f1743,f1763,f1764,f1766,f1768,f1770,f1771,f1750]) ).

fof(f1750,plain,
    ! [X0] :
      ( ~ ordinal(succ(succ(succ(succ(succ(X0))))))
      | element(X0,succ(succ(succ(succ(succ(X0))))))
      | ~ ordinal(succ(X0))
      | ~ ordinal(succ(succ(succ(X0)))) ),
    inference(resolution,[],[f1614,f1255]) ).

fof(f1771,plain,
    ! [X0] :
      ( ~ ordinal(succ(succ(succ(succ(succ(X0))))))
      | element(X0,succ(succ(succ(succ(succ(X0))))))
      | ~ ordinal(succ(X0)) ),
    inference(subsumption_resolution,[],[f1749,f180]) ).

fof(f1749,plain,
    ! [X0] :
      ( ~ ordinal(succ(succ(succ(succ(succ(X0))))))
      | element(X0,succ(succ(succ(succ(succ(X0))))))
      | ~ ordinal(succ(X0))
      | ~ ordinal(succ(succ(X0))) ),
    inference(resolution,[],[f1614,f1387]) ).

fof(f1770,plain,
    ! [X0,X1] :
      ( element(X1,succ(X0))
      | ~ ordinal(succ(X1))
      | in(X0,succ(succ(succ(X1))))
      | ~ ordinal(X0) ),
    inference(subsumption_resolution,[],[f1769,f180]) ).

fof(f1769,plain,
    ! [X0,X1] :
      ( element(X1,succ(X0))
      | ~ ordinal(succ(X1))
      | in(X0,succ(succ(succ(X1))))
      | ~ ordinal(succ(succ(X1)))
      | ~ ordinal(X0) ),
    inference(subsumption_resolution,[],[f1748,f180]) ).

fof(f1748,plain,
    ! [X0,X1] :
      ( ~ ordinal(succ(X0))
      | element(X1,succ(X0))
      | ~ ordinal(succ(X1))
      | in(X0,succ(succ(succ(X1))))
      | ~ ordinal(succ(succ(X1)))
      | ~ ordinal(X0) ),
    inference(resolution,[],[f1614,f552]) ).

fof(f1768,plain,
    ! [X0,X1] :
      ( element(X1,succ(X0))
      | ~ ordinal(succ(X1))
      | in(X0,succ(succ(succ(X1))))
      | ~ ordinal(X0) ),
    inference(subsumption_resolution,[],[f1767,f180]) ).

fof(f1767,plain,
    ! [X0,X1] :
      ( element(X1,succ(X0))
      | ~ ordinal(succ(X1))
      | in(X0,succ(succ(succ(X1))))
      | ~ ordinal(X0)
      | ~ ordinal(succ(succ(X1))) ),
    inference(subsumption_resolution,[],[f1747,f180]) ).

fof(f1747,plain,
    ! [X0,X1] :
      ( ~ ordinal(succ(X0))
      | element(X1,succ(X0))
      | ~ ordinal(succ(X1))
      | in(X0,succ(succ(succ(X1))))
      | ~ ordinal(X0)
      | ~ ordinal(succ(succ(X1))) ),
    inference(resolution,[],[f1614,f552]) ).

fof(f1766,plain,
    ! [X0,X1] :
      ( element(X1,succ(X0))
      | ~ ordinal(succ(X1))
      | ~ being_limit_ordinal(X0)
      | ~ ordinal(X0)
      | ~ in(succ(succ(X1)),X0) ),
    inference(subsumption_resolution,[],[f1765,f180]) ).

fof(f1765,plain,
    ! [X0,X1] :
      ( element(X1,succ(X0))
      | ~ ordinal(succ(X1))
      | ~ being_limit_ordinal(X0)
      | ~ ordinal(X0)
      | ~ in(succ(succ(X1)),X0)
      | ~ ordinal(succ(succ(X1))) ),
    inference(subsumption_resolution,[],[f1746,f180]) ).

fof(f1746,plain,
    ! [X0,X1] :
      ( ~ ordinal(succ(X0))
      | element(X1,succ(X0))
      | ~ ordinal(succ(X1))
      | ~ being_limit_ordinal(X0)
      | ~ ordinal(X0)
      | ~ in(succ(succ(X1)),X0)
      | ~ ordinal(succ(succ(X1))) ),
    inference(resolution,[],[f1614,f735]) ).

fof(f1764,plain,
    ! [X0,X1] :
      ( ~ ordinal(succ(X0))
      | element(X1,succ(X0))
      | ~ ordinal(succ(X1))
      | in(X0,succ(succ(succ(X1)))) ),
    inference(subsumption_resolution,[],[f1761,f180]) ).

fof(f1761,plain,
    ! [X0,X1] :
      ( ~ ordinal(succ(X0))
      | element(X1,succ(X0))
      | ~ ordinal(succ(X1))
      | in(X0,succ(succ(succ(X1))))
      | ~ ordinal(succ(succ(X1))) ),
    inference(duplicate_literal_removal,[],[f1745]) ).

fof(f1745,plain,
    ! [X0,X1] :
      ( ~ ordinal(succ(X0))
      | element(X1,succ(X0))
      | ~ ordinal(succ(X1))
      | in(X0,succ(succ(succ(X1))))
      | ~ ordinal(succ(succ(X1)))
      | ~ ordinal(succ(X0)) ),
    inference(resolution,[],[f1614,f1055]) ).

fof(f1763,plain,
    ! [X0,X1] :
      ( element(X1,succ(X0))
      | ~ ordinal(succ(X1))
      | in(X0,succ(succ(succ(X1))))
      | ~ ordinal(X0)
      | ~ ordinal(succ(succ(succ(X1)))) ),
    inference(subsumption_resolution,[],[f1744,f180]) ).

fof(f1744,plain,
    ! [X0,X1] :
      ( ~ ordinal(succ(X0))
      | element(X1,succ(X0))
      | ~ ordinal(succ(X1))
      | in(X0,succ(succ(succ(X1))))
      | ~ ordinal(X0)
      | ~ ordinal(succ(succ(succ(X1)))) ),
    inference(resolution,[],[f1614,f1055]) ).

fof(f1614,plain,
    ! [X0,X1] :
      ( ~ in(succ(succ(X0)),X1)
      | ~ ordinal(X1)
      | element(X0,X1)
      | ~ ordinal(succ(X0)) ),
    inference(subsumption_resolution,[],[f1593,f180]) ).

fof(f1593,plain,
    ! [X0,X1] :
      ( element(X0,X1)
      | ~ ordinal(X1)
      | ~ in(succ(succ(X0)),X1)
      | ~ ordinal(succ(succ(X0)))
      | ~ ordinal(succ(X0)) ),
    inference(resolution,[],[f845,f1255]) ).

fof(f1737,plain,
    ! [X0,X1] :
      ( ~ ordinal(X0)
      | ~ being_limit_ordinal(powerset(X1))
      | ~ ordinal(powerset(X1))
      | ~ in(X0,powerset(X1))
      | succ(X0) = X1
      | proper_subset(succ(X0),X1) ),
    inference(resolution,[],[f530,f212]) ).

fof(f1736,plain,
    ! [X2,X0,X1] :
      ( ~ ordinal(X0)
      | ~ being_limit_ordinal(powerset(X1))
      | ~ ordinal(powerset(X1))
      | ~ in(X0,powerset(X1))
      | ~ in(X2,succ(X0))
      | ~ empty(X1) ),
    inference(resolution,[],[f530,f349]) ).

fof(f1741,plain,
    ! [X0,X1] :
      ( ~ ordinal(X0)
      | ~ being_limit_ordinal(powerset(X1))
      | ~ ordinal(powerset(X1))
      | ~ in(X0,powerset(X1))
      | ordinal_subset(succ(X0),X1)
      | ~ ordinal(X1) ),
    inference(subsumption_resolution,[],[f1735,f180]) ).

fof(f1735,plain,
    ! [X0,X1] :
      ( ~ ordinal(X0)
      | ~ being_limit_ordinal(powerset(X1))
      | ~ ordinal(powerset(X1))
      | ~ in(X0,powerset(X1))
      | ordinal_subset(succ(X0),X1)
      | ~ ordinal(X1)
      | ~ ordinal(succ(X0)) ),
    inference(resolution,[],[f530,f210]) ).

fof(f1734,plain,
    ! [X2,X0,X1] :
      ( ~ ordinal(X0)
      | ~ being_limit_ordinal(powerset(X1))
      | ~ ordinal(powerset(X1))
      | ~ in(X0,powerset(X1))
      | ~ in(X2,succ(X0))
      | element(X2,X1) ),
    inference(resolution,[],[f530,f428]) ).

fof(f530,plain,
    ! [X0,X1] :
      ( subset(succ(X0),X1)
      | ~ ordinal(X0)
      | ~ being_limit_ordinal(powerset(X1))
      | ~ ordinal(powerset(X1))
      | ~ in(X0,powerset(X1)) ),
    inference(resolution,[],[f181,f324]) ).

fof(f1725,plain,
    ! [X0,X1] :
      ( ~ ordinal(X0)
      | ~ ordinal(sK4(succ(X1)))
      | ~ in(X0,sK4(succ(X1)))
      | ~ in(X1,sK4(succ(X0)))
      | ~ ordinal(X1)
      | ~ ordinal(sK4(succ(X0))) ),
    inference(resolution,[],[f1670,f1632]) ).

fof(f1724,plain,
    ! [X0,X1] :
      ( ~ ordinal(X0)
      | ~ ordinal(sK4(X1))
      | ~ in(X0,sK4(X1))
      | ~ ordinal(X1)
      | ordinal_subset(sK4(succ(X0)),X1)
      | empty(X1)
      | ~ ordinal(sK4(succ(X0))) ),
    inference(resolution,[],[f1670,f994]) ).

fof(f1723,plain,
    ! [X0] :
      ( ~ ordinal(X0)
      | ~ ordinal(sK4(sK4(powerset(sK4(succ(X0))))))
      | ~ in(X0,sK4(sK4(powerset(sK4(succ(X0))))))
      | empty(sK4(powerset(sK4(succ(X0))))) ),
    inference(resolution,[],[f1670,f466]) ).

fof(f1722,plain,
    ! [X0] :
      ( ~ ordinal(X0)
      | ~ ordinal(sK4(sK4(succ(X0))))
      | ~ in(X0,sK4(sK4(succ(X0))))
      | empty(sK4(succ(X0))) ),
    inference(resolution,[],[f1670,f340]) ).

fof(f1721,plain,
    ! [X0,X1] :
      ( ~ ordinal(X0)
      | ~ ordinal(sK3(succ(X1)))
      | ~ in(X0,sK3(succ(X1)))
      | ~ in(X1,sK4(succ(X0)))
      | ~ ordinal(X1)
      | ~ ordinal(sK4(succ(X0))) ),
    inference(resolution,[],[f1670,f1627]) ).

fof(f1730,plain,
    ! [X0,X1] :
      ( ~ ordinal(X0)
      | ~ in(X0,sK3(X1))
      | ~ ordinal(X1)
      | ordinal_subset(sK4(succ(X0)),X1)
      | being_limit_ordinal(X1)
      | ~ ordinal(sK4(succ(X0))) ),
    inference(subsumption_resolution,[],[f1720,f182]) ).

fof(f1720,plain,
    ! [X0,X1] :
      ( ~ ordinal(X0)
      | ~ ordinal(sK3(X1))
      | ~ in(X0,sK3(X1))
      | ~ ordinal(X1)
      | ordinal_subset(sK4(succ(X0)),X1)
      | being_limit_ordinal(X1)
      | ~ ordinal(sK4(succ(X0))) ),
    inference(resolution,[],[f1670,f999]) ).

fof(f1729,plain,
    ! [X0] :
      ( ~ ordinal(X0)
      | ~ in(X0,sK3(sK4(succ(X0))))
      | being_limit_ordinal(sK4(succ(X0)))
      | ~ ordinal(sK4(succ(X0))) ),
    inference(subsumption_resolution,[],[f1719,f182]) ).

fof(f1719,plain,
    ! [X0] :
      ( ~ ordinal(X0)
      | ~ ordinal(sK3(sK4(succ(X0))))
      | ~ in(X0,sK3(sK4(succ(X0))))
      | being_limit_ordinal(sK4(succ(X0)))
      | ~ ordinal(sK4(succ(X0))) ),
    inference(resolution,[],[f1670,f183]) ).

fof(f1728,plain,
    ! [X0,X1] :
      ( ~ ordinal(X0)
      | ~ in(X0,succ(X1))
      | ~ in(X1,sK4(succ(X0)))
      | ~ ordinal(X1)
      | ~ being_limit_ordinal(sK4(succ(X0)))
      | ~ ordinal(sK4(succ(X0))) ),
    inference(subsumption_resolution,[],[f1718,f180]) ).

fof(f1718,plain,
    ! [X0,X1] :
      ( ~ ordinal(X0)
      | ~ ordinal(succ(X1))
      | ~ in(X0,succ(X1))
      | ~ in(X1,sK4(succ(X0)))
      | ~ ordinal(X1)
      | ~ being_limit_ordinal(sK4(succ(X0)))
      | ~ ordinal(sK4(succ(X0))) ),
    inference(resolution,[],[f1670,f181]) ).

fof(f1670,plain,
    ! [X0,X1] :
      ( ~ in(X1,sK4(succ(X0)))
      | ~ ordinal(X0)
      | ~ ordinal(X1)
      | ~ in(X0,X1) ),
    inference(resolution,[],[f1632,f205]) ).

fof(f1709,plain,
    ! [X0,X1] :
      ( ~ ordinal(X0)
      | ~ ordinal(sK4(succ(X1)))
      | ~ in(X0,sK4(succ(X1)))
      | ~ in(X1,sK3(succ(X0)))
      | ~ ordinal(X1)
      | ~ ordinal(sK3(succ(X0))) ),
    inference(resolution,[],[f1637,f1632]) ).

fof(f1708,plain,
    ! [X0,X1] :
      ( ~ ordinal(X0)
      | ~ ordinal(sK4(X1))
      | ~ in(X0,sK4(X1))
      | ~ ordinal(X1)
      | ordinal_subset(sK3(succ(X0)),X1)
      | empty(X1)
      | ~ ordinal(sK3(succ(X0))) ),
    inference(resolution,[],[f1637,f994]) ).

fof(f1707,plain,
    ! [X0] :
      ( ~ ordinal(X0)
      | ~ ordinal(sK4(sK4(powerset(sK3(succ(X0))))))
      | ~ in(X0,sK4(sK4(powerset(sK3(succ(X0))))))
      | empty(sK4(powerset(sK3(succ(X0))))) ),
    inference(resolution,[],[f1637,f466]) ).

fof(f1706,plain,
    ! [X0] :
      ( ~ ordinal(X0)
      | ~ ordinal(sK4(sK3(succ(X0))))
      | ~ in(X0,sK4(sK3(succ(X0))))
      | empty(sK3(succ(X0))) ),
    inference(resolution,[],[f1637,f340]) ).

fof(f1705,plain,
    ! [X0,X1] :
      ( ~ ordinal(X0)
      | ~ ordinal(sK3(succ(X1)))
      | ~ in(X0,sK3(succ(X1)))
      | ~ in(X1,sK3(succ(X0)))
      | ~ ordinal(X1)
      | ~ ordinal(sK3(succ(X0))) ),
    inference(resolution,[],[f1637,f1627]) ).

fof(f1714,plain,
    ! [X0,X1] :
      ( ~ ordinal(X0)
      | ~ in(X0,sK3(X1))
      | ~ ordinal(X1)
      | ordinal_subset(sK3(succ(X0)),X1)
      | being_limit_ordinal(X1)
      | ~ ordinal(sK3(succ(X0))) ),
    inference(subsumption_resolution,[],[f1704,f182]) ).

fof(f1704,plain,
    ! [X0,X1] :
      ( ~ ordinal(X0)
      | ~ ordinal(sK3(X1))
      | ~ in(X0,sK3(X1))
      | ~ ordinal(X1)
      | ordinal_subset(sK3(succ(X0)),X1)
      | being_limit_ordinal(X1)
      | ~ ordinal(sK3(succ(X0))) ),
    inference(resolution,[],[f1637,f999]) ).

fof(f1713,plain,
    ! [X0] :
      ( ~ ordinal(X0)
      | ~ in(X0,sK3(sK3(succ(X0))))
      | being_limit_ordinal(sK3(succ(X0)))
      | ~ ordinal(sK3(succ(X0))) ),
    inference(subsumption_resolution,[],[f1703,f182]) ).

fof(f1703,plain,
    ! [X0] :
      ( ~ ordinal(X0)
      | ~ ordinal(sK3(sK3(succ(X0))))
      | ~ in(X0,sK3(sK3(succ(X0))))
      | being_limit_ordinal(sK3(succ(X0)))
      | ~ ordinal(sK3(succ(X0))) ),
    inference(resolution,[],[f1637,f183]) ).

fof(f1712,plain,
    ! [X0,X1] :
      ( ~ ordinal(X0)
      | ~ in(X0,succ(X1))
      | ~ in(X1,sK3(succ(X0)))
      | ~ ordinal(X1)
      | ~ being_limit_ordinal(sK3(succ(X0)))
      | ~ ordinal(sK3(succ(X0))) ),
    inference(subsumption_resolution,[],[f1702,f180]) ).

fof(f1702,plain,
    ! [X0,X1] :
      ( ~ ordinal(X0)
      | ~ ordinal(succ(X1))
      | ~ in(X0,succ(X1))
      | ~ in(X1,sK3(succ(X0)))
      | ~ ordinal(X1)
      | ~ being_limit_ordinal(sK3(succ(X0)))
      | ~ ordinal(sK3(succ(X0))) ),
    inference(resolution,[],[f1637,f181]) ).

fof(f1637,plain,
    ! [X0,X1] :
      ( ~ in(X1,sK3(succ(X0)))
      | ~ ordinal(X0)
      | ~ ordinal(X1)
      | ~ in(X0,X1) ),
    inference(resolution,[],[f1627,f205]) ).

fof(f1687,plain,
    ! [X0] :
      ( ~ in(X0,sK4(sK4(powerset(sK4(succ(X0))))))
      | ~ ordinal(X0)
      | ~ ordinal(sK4(sK4(powerset(sK4(succ(X0))))))
      | empty(sK4(powerset(sK4(succ(X0))))) ),
    inference(resolution,[],[f1632,f490]) ).

fof(f1685,plain,
    ! [X0,X1] :
      ( ~ in(X0,sK4(powerset(X1)))
      | ~ ordinal(X0)
      | ~ ordinal(sK4(powerset(X1)))
      | element(sK4(succ(X0)),X1) ),
    inference(resolution,[],[f1632,f427]) ).

fof(f1689,plain,
    ! [X0] :
      ( ~ in(X0,sK4(succ(sK4(succ(X0)))))
      | ~ ordinal(X0)
      | ~ ordinal(sK4(succ(sK4(succ(X0)))))
      | ~ being_limit_ordinal(sK4(succ(sK4(succ(X0)))))
      | ~ ordinal(sK4(succ(X0))) ),
    inference(duplicate_literal_removal,[],[f1684]) ).

fof(f1684,plain,
    ! [X0] :
      ( ~ in(X0,sK4(succ(sK4(succ(X0)))))
      | ~ ordinal(X0)
      | ~ ordinal(sK4(succ(sK4(succ(X0)))))
      | ~ being_limit_ordinal(sK4(succ(sK4(succ(X0)))))
      | ~ ordinal(sK4(succ(sK4(succ(X0)))))
      | ~ ordinal(sK4(succ(X0))) ),
    inference(resolution,[],[f1632,f741]) ).

fof(f1683,plain,
    ! [X0,X1] :
      ( ~ in(X0,sK4(X1))
      | ~ ordinal(X0)
      | ~ ordinal(sK4(X1))
      | ordinal_subset(sK4(succ(X0)),X1)
      | empty(X1)
      | ~ ordinal(sK4(succ(X0)))
      | ~ ordinal(X1) ),
    inference(resolution,[],[f1632,f1059]) ).

fof(f1682,plain,
    ! [X0] :
      ( ~ in(X0,sK4(sK4(succ(X0))))
      | ~ ordinal(X0)
      | ~ ordinal(sK4(sK4(succ(X0))))
      | empty(sK4(succ(X0))) ),
    inference(resolution,[],[f1632,f343]) ).

fof(f1698,plain,
    ! [X0,X1] :
      ( ~ in(X0,sK3(powerset(X1)))
      | ~ ordinal(X0)
      | element(sK4(succ(X0)),X1)
      | being_limit_ordinal(powerset(X1))
      | ~ ordinal(powerset(X1)) ),
    inference(subsumption_resolution,[],[f1680,f182]) ).

fof(f1680,plain,
    ! [X0,X1] :
      ( ~ in(X0,sK3(powerset(X1)))
      | ~ ordinal(X0)
      | ~ ordinal(sK3(powerset(X1)))
      | element(sK4(succ(X0)),X1)
      | being_limit_ordinal(powerset(X1))
      | ~ ordinal(powerset(X1)) ),
    inference(resolution,[],[f1632,f447]) ).

fof(f1679,plain,
    ! [X0] :
      ( ~ in(X0,sK3(succ(sK4(succ(X0)))))
      | ~ ordinal(X0)
      | ~ ordinal(sK3(succ(sK4(succ(X0)))))
      | ~ being_limit_ordinal(sK3(succ(sK4(succ(X0)))))
      | ~ ordinal(sK4(succ(X0))) ),
    inference(resolution,[],[f1632,f740]) ).

fof(f1697,plain,
    ! [X0,X1] :
      ( ~ in(X0,sK3(X1))
      | ~ ordinal(X0)
      | ordinal_subset(sK4(succ(X0)),X1)
      | being_limit_ordinal(X1)
      | ~ ordinal(sK4(succ(X0)))
      | ~ ordinal(X1) ),
    inference(subsumption_resolution,[],[f1678,f182]) ).

fof(f1678,plain,
    ! [X0,X1] :
      ( ~ in(X0,sK3(X1))
      | ~ ordinal(X0)
      | ~ ordinal(sK3(X1))
      | ordinal_subset(sK4(succ(X0)),X1)
      | being_limit_ordinal(X1)
      | ~ ordinal(sK4(succ(X0)))
      | ~ ordinal(X1) ),
    inference(resolution,[],[f1632,f1084]) ).

fof(f1696,plain,
    ! [X0] :
      ( ~ in(X0,sK3(sK4(succ(X0))))
      | ~ ordinal(X0)
      | ~ ordinal(sK4(succ(X0)))
      | being_limit_ordinal(sK4(succ(X0))) ),
    inference(subsumption_resolution,[],[f1677,f182]) ).

fof(f1677,plain,
    ! [X0] :
      ( ~ in(X0,sK3(sK4(succ(X0))))
      | ~ ordinal(X0)
      | ~ ordinal(sK3(sK4(succ(X0))))
      | ~ ordinal(sK4(succ(X0)))
      | being_limit_ordinal(sK4(succ(X0))) ),
    inference(resolution,[],[f1632,f335]) ).

fof(f1676,plain,
    ! [X0,X1] :
      ( ~ in(X0,powerset(X1))
      | ~ ordinal(X0)
      | ~ ordinal(powerset(X1))
      | subset(sK4(succ(X0)),X1) ),
    inference(resolution,[],[f1632,f324]) ).

fof(f1675,plain,
    ! [X2,X0,X1] :
      ( ~ in(X0,powerset(X1))
      | ~ ordinal(X0)
      | ~ ordinal(powerset(X1))
      | ~ in(X2,sK4(succ(X0)))
      | ~ empty(X1) ),
    inference(resolution,[],[f1632,f350]) ).

fof(f1674,plain,
    ! [X2,X0,X1] :
      ( ~ in(X0,powerset(X1))
      | ~ ordinal(X0)
      | ~ ordinal(powerset(X1))
      | ~ in(X2,sK4(succ(X0)))
      | element(X2,X1) ),
    inference(resolution,[],[f1632,f429]) ).

fof(f1695,plain,
    ! [X0,X1] :
      ( ~ in(X0,succ(X1))
      | ~ ordinal(X0)
      | ~ ordinal(X1)
      | ~ being_limit_ordinal(sK4(succ(X0)))
      | ~ ordinal(sK4(succ(X0)))
      | ~ in(X1,sK4(succ(X0))) ),
    inference(subsumption_resolution,[],[f1673,f180]) ).

fof(f1673,plain,
    ! [X0,X1] :
      ( ~ in(X0,succ(X1))
      | ~ ordinal(X0)
      | ~ ordinal(succ(X1))
      | ~ ordinal(X1)
      | ~ being_limit_ordinal(sK4(succ(X0)))
      | ~ ordinal(sK4(succ(X0)))
      | ~ in(X1,sK4(succ(X0))) ),
    inference(resolution,[],[f1632,f526]) ).

fof(f1694,plain,
    ! [X2,X0,X1] :
      ( ~ in(X0,succ(X1))
      | ~ ordinal(X0)
      | element(sK4(succ(X0)),X2)
      | ~ ordinal(X2)
      | ~ in(X1,X2)
      | ~ ordinal(X1) ),
    inference(subsumption_resolution,[],[f1672,f180]) ).

fof(f1672,plain,
    ! [X2,X0,X1] :
      ( ~ in(X0,succ(X1))
      | ~ ordinal(X0)
      | ~ ordinal(succ(X1))
      | element(sK4(succ(X0)),X2)
      | ~ ordinal(X2)
      | ~ in(X1,X2)
      | ~ ordinal(X1) ),
    inference(resolution,[],[f1632,f845]) ).

fof(f1691,plain,
    ! [X2,X0,X1] :
      ( ~ in(X0,X1)
      | ~ ordinal(X0)
      | ~ ordinal(X1)
      | element(sK4(succ(X0)),X2)
      | ~ ordinal(X2)
      | ordinal_subset(X2,X1) ),
    inference(duplicate_literal_removal,[],[f1668]) ).

fof(f1668,plain,
    ! [X2,X0,X1] :
      ( ~ in(X0,X1)
      | ~ ordinal(X0)
      | ~ ordinal(X1)
      | element(sK4(succ(X0)),X2)
      | ~ ordinal(X2)
      | ~ ordinal(X1)
      | ordinal_subset(X2,X1) ),
    inference(resolution,[],[f1632,f837]) ).

fof(f1692,plain,
    ! [X2,X0,X1] :
      ( ~ in(X0,X1)
      | ~ ordinal(X0)
      | ~ ordinal(X1)
      | element(sK4(succ(X0)),succ(X2))
      | ~ ordinal(X2)
      | in(X2,X1) ),
    inference(duplicate_literal_removal,[],[f1667]) ).

fof(f1667,plain,
    ! [X2,X0,X1] :
      ( ~ in(X0,X1)
      | ~ ordinal(X0)
      | ~ ordinal(X1)
      | element(sK4(succ(X0)),succ(X2))
      | ~ ordinal(X1)
      | ~ ordinal(X2)
      | in(X2,X1) ),
    inference(resolution,[],[f1632,f844]) ).

fof(f1632,plain,
    ! [X0,X1] :
      ( in(sK4(succ(X1)),X0)
      | ~ in(X1,X0)
      | ~ ordinal(X1)
      | ~ ordinal(X0) ),
    inference(subsumption_resolution,[],[f1631,f216]) ).

fof(f1631,plain,
    ! [X0,X1] :
      ( ~ ordinal(X0)
      | ~ in(X1,X0)
      | ~ ordinal(X1)
      | empty(X0)
      | in(sK4(succ(X1)),X0) ),
    inference(resolution,[],[f1621,f204]) ).

fof(f1654,plain,
    ! [X0] :
      ( ~ in(X0,sK4(sK4(powerset(sK3(succ(X0))))))
      | ~ ordinal(X0)
      | ~ ordinal(sK4(sK4(powerset(sK3(succ(X0))))))
      | empty(sK4(powerset(sK3(succ(X0))))) ),
    inference(resolution,[],[f1627,f490]) ).

fof(f1652,plain,
    ! [X0,X1] :
      ( ~ in(X0,sK4(powerset(X1)))
      | ~ ordinal(X0)
      | ~ ordinal(sK4(powerset(X1)))
      | element(sK3(succ(X0)),X1) ),
    inference(resolution,[],[f1627,f427]) ).

fof(f1656,plain,
    ! [X0] :
      ( ~ in(X0,sK4(succ(sK3(succ(X0)))))
      | ~ ordinal(X0)
      | ~ ordinal(sK4(succ(sK3(succ(X0)))))
      | ~ being_limit_ordinal(sK4(succ(sK3(succ(X0)))))
      | ~ ordinal(sK3(succ(X0))) ),
    inference(duplicate_literal_removal,[],[f1651]) ).

fof(f1651,plain,
    ! [X0] :
      ( ~ in(X0,sK4(succ(sK3(succ(X0)))))
      | ~ ordinal(X0)
      | ~ ordinal(sK4(succ(sK3(succ(X0)))))
      | ~ being_limit_ordinal(sK4(succ(sK3(succ(X0)))))
      | ~ ordinal(sK4(succ(sK3(succ(X0)))))
      | ~ ordinal(sK3(succ(X0))) ),
    inference(resolution,[],[f1627,f741]) ).

fof(f1650,plain,
    ! [X0,X1] :
      ( ~ in(X0,sK4(X1))
      | ~ ordinal(X0)
      | ~ ordinal(sK4(X1))
      | ordinal_subset(sK3(succ(X0)),X1)
      | empty(X1)
      | ~ ordinal(sK3(succ(X0)))
      | ~ ordinal(X1) ),
    inference(resolution,[],[f1627,f1059]) ).

fof(f1649,plain,
    ! [X0] :
      ( ~ in(X0,sK4(sK3(succ(X0))))
      | ~ ordinal(X0)
      | ~ ordinal(sK4(sK3(succ(X0))))
      | empty(sK3(succ(X0))) ),
    inference(resolution,[],[f1627,f343]) ).

fof(f1665,plain,
    ! [X0,X1] :
      ( ~ in(X0,sK3(powerset(X1)))
      | ~ ordinal(X0)
      | element(sK3(succ(X0)),X1)
      | being_limit_ordinal(powerset(X1))
      | ~ ordinal(powerset(X1)) ),
    inference(subsumption_resolution,[],[f1647,f182]) ).

fof(f1647,plain,
    ! [X0,X1] :
      ( ~ in(X0,sK3(powerset(X1)))
      | ~ ordinal(X0)
      | ~ ordinal(sK3(powerset(X1)))
      | element(sK3(succ(X0)),X1)
      | being_limit_ordinal(powerset(X1))
      | ~ ordinal(powerset(X1)) ),
    inference(resolution,[],[f1627,f447]) ).

fof(f1646,plain,
    ! [X0] :
      ( ~ in(X0,sK3(succ(sK3(succ(X0)))))
      | ~ ordinal(X0)
      | ~ ordinal(sK3(succ(sK3(succ(X0)))))
      | ~ being_limit_ordinal(sK3(succ(sK3(succ(X0)))))
      | ~ ordinal(sK3(succ(X0))) ),
    inference(resolution,[],[f1627,f740]) ).

fof(f1664,plain,
    ! [X0,X1] :
      ( ~ in(X0,sK3(X1))
      | ~ ordinal(X0)
      | ordinal_subset(sK3(succ(X0)),X1)
      | being_limit_ordinal(X1)
      | ~ ordinal(sK3(succ(X0)))
      | ~ ordinal(X1) ),
    inference(subsumption_resolution,[],[f1645,f182]) ).

fof(f1645,plain,
    ! [X0,X1] :
      ( ~ in(X0,sK3(X1))
      | ~ ordinal(X0)
      | ~ ordinal(sK3(X1))
      | ordinal_subset(sK3(succ(X0)),X1)
      | being_limit_ordinal(X1)
      | ~ ordinal(sK3(succ(X0)))
      | ~ ordinal(X1) ),
    inference(resolution,[],[f1627,f1084]) ).

fof(f1663,plain,
    ! [X0] :
      ( ~ in(X0,sK3(sK3(succ(X0))))
      | ~ ordinal(X0)
      | ~ ordinal(sK3(succ(X0)))
      | being_limit_ordinal(sK3(succ(X0))) ),
    inference(subsumption_resolution,[],[f1644,f182]) ).

fof(f1644,plain,
    ! [X0] :
      ( ~ in(X0,sK3(sK3(succ(X0))))
      | ~ ordinal(X0)
      | ~ ordinal(sK3(sK3(succ(X0))))
      | ~ ordinal(sK3(succ(X0)))
      | being_limit_ordinal(sK3(succ(X0))) ),
    inference(resolution,[],[f1627,f335]) ).

fof(f1643,plain,
    ! [X0,X1] :
      ( ~ in(X0,powerset(X1))
      | ~ ordinal(X0)
      | ~ ordinal(powerset(X1))
      | subset(sK3(succ(X0)),X1) ),
    inference(resolution,[],[f1627,f324]) ).

fof(f1642,plain,
    ! [X2,X0,X1] :
      ( ~ in(X0,powerset(X1))
      | ~ ordinal(X0)
      | ~ ordinal(powerset(X1))
      | ~ in(X2,sK3(succ(X0)))
      | ~ empty(X1) ),
    inference(resolution,[],[f1627,f350]) ).

fof(f1641,plain,
    ! [X2,X0,X1] :
      ( ~ in(X0,powerset(X1))
      | ~ ordinal(X0)
      | ~ ordinal(powerset(X1))
      | ~ in(X2,sK3(succ(X0)))
      | element(X2,X1) ),
    inference(resolution,[],[f1627,f429]) ).

fof(f1662,plain,
    ! [X0,X1] :
      ( ~ in(X0,succ(X1))
      | ~ ordinal(X0)
      | ~ ordinal(X1)
      | ~ being_limit_ordinal(sK3(succ(X0)))
      | ~ ordinal(sK3(succ(X0)))
      | ~ in(X1,sK3(succ(X0))) ),
    inference(subsumption_resolution,[],[f1640,f180]) ).

fof(f1640,plain,
    ! [X0,X1] :
      ( ~ in(X0,succ(X1))
      | ~ ordinal(X0)
      | ~ ordinal(succ(X1))
      | ~ ordinal(X1)
      | ~ being_limit_ordinal(sK3(succ(X0)))
      | ~ ordinal(sK3(succ(X0)))
      | ~ in(X1,sK3(succ(X0))) ),
    inference(resolution,[],[f1627,f526]) ).

fof(f1661,plain,
    ! [X2,X0,X1] :
      ( ~ in(X0,succ(X1))
      | ~ ordinal(X0)
      | element(sK3(succ(X0)),X2)
      | ~ ordinal(X2)
      | ~ in(X1,X2)
      | ~ ordinal(X1) ),
    inference(subsumption_resolution,[],[f1639,f180]) ).

fof(f1639,plain,
    ! [X2,X0,X1] :
      ( ~ in(X0,succ(X1))
      | ~ ordinal(X0)
      | ~ ordinal(succ(X1))
      | element(sK3(succ(X0)),X2)
      | ~ ordinal(X2)
      | ~ in(X1,X2)
      | ~ ordinal(X1) ),
    inference(resolution,[],[f1627,f845]) ).

fof(f1658,plain,
    ! [X2,X0,X1] :
      ( ~ in(X0,X1)
      | ~ ordinal(X0)
      | ~ ordinal(X1)
      | element(sK3(succ(X0)),X2)
      | ~ ordinal(X2)
      | ordinal_subset(X2,X1) ),
    inference(duplicate_literal_removal,[],[f1635]) ).

fof(f1635,plain,
    ! [X2,X0,X1] :
      ( ~ in(X0,X1)
      | ~ ordinal(X0)
      | ~ ordinal(X1)
      | element(sK3(succ(X0)),X2)
      | ~ ordinal(X2)
      | ~ ordinal(X1)
      | ordinal_subset(X2,X1) ),
    inference(resolution,[],[f1627,f837]) ).

fof(f1659,plain,
    ! [X2,X0,X1] :
      ( ~ in(X0,X1)
      | ~ ordinal(X0)
      | ~ ordinal(X1)
      | element(sK3(succ(X0)),succ(X2))
      | ~ ordinal(X2)
      | in(X2,X1) ),
    inference(duplicate_literal_removal,[],[f1634]) ).

fof(f1634,plain,
    ! [X2,X0,X1] :
      ( ~ in(X0,X1)
      | ~ ordinal(X0)
      | ~ ordinal(X1)
      | element(sK3(succ(X0)),succ(X2))
      | ~ ordinal(X1)
      | ~ ordinal(X2)
      | in(X2,X1) ),
    inference(resolution,[],[f1627,f844]) ).

fof(f1627,plain,
    ! [X0,X1] :
      ( in(sK3(succ(X1)),X0)
      | ~ in(X1,X0)
      | ~ ordinal(X1)
      | ~ ordinal(X0) ),
    inference(subsumption_resolution,[],[f1626,f216]) ).

fof(f1626,plain,
    ! [X0,X1] :
      ( ~ ordinal(X0)
      | ~ in(X1,X0)
      | ~ ordinal(X1)
      | empty(X0)
      | in(sK3(succ(X1)),X0) ),
    inference(resolution,[],[f1619,f204]) ).

fof(f1629,plain,
    ! [X2,X0,X1] :
      ( ~ ordinal(powerset(X0))
      | ~ in(X1,powerset(X0))
      | ~ ordinal(X1)
      | ~ empty(X0)
      | ~ in(X2,sK4(succ(X1))) ),
    inference(resolution,[],[f1621,f218]) ).

fof(f1628,plain,
    ! [X2,X0,X1] :
      ( ~ ordinal(powerset(X0))
      | ~ in(X1,powerset(X0))
      | ~ ordinal(X1)
      | element(X2,X0)
      | ~ in(X2,sK4(succ(X1))) ),
    inference(resolution,[],[f1621,f217]) ).

fof(f1621,plain,
    ! [X0,X1] :
      ( element(sK4(succ(X0)),X1)
      | ~ ordinal(X1)
      | ~ in(X0,X1)
      | ~ ordinal(X0) ),
    inference(subsumption_resolution,[],[f1603,f170]) ).

fof(f1603,plain,
    ! [X0,X1] :
      ( element(sK4(succ(X0)),X1)
      | ~ ordinal(X1)
      | ~ in(X0,X1)
      | ~ ordinal(X0)
      | empty(succ(X0)) ),
    inference(resolution,[],[f845,f340]) ).

fof(f1624,plain,
    ! [X2,X0,X1] :
      ( ~ ordinal(powerset(X0))
      | ~ in(X1,powerset(X0))
      | ~ ordinal(X1)
      | ~ empty(X0)
      | ~ in(X2,sK3(succ(X1))) ),
    inference(resolution,[],[f1619,f218]) ).

fof(f1623,plain,
    ! [X2,X0,X1] :
      ( ~ ordinal(powerset(X0))
      | ~ in(X1,powerset(X0))
      | ~ ordinal(X1)
      | element(X2,X0)
      | ~ in(X2,sK3(succ(X1))) ),
    inference(resolution,[],[f1619,f217]) ).

fof(f1619,plain,
    ! [X0,X1] :
      ( element(sK3(succ(X0)),X1)
      | ~ ordinal(X1)
      | ~ in(X0,X1)
      | ~ ordinal(X0) ),
    inference(subsumption_resolution,[],[f1618,f180]) ).

fof(f1618,plain,
    ! [X0,X1] :
      ( element(sK3(succ(X0)),X1)
      | ~ ordinal(X1)
      | ~ in(X0,X1)
      | ~ ordinal(X0)
      | ~ ordinal(succ(X0)) ),
    inference(subsumption_resolution,[],[f1601,f546]) ).

fof(f1601,plain,
    ! [X0,X1] :
      ( element(sK3(succ(X0)),X1)
      | ~ ordinal(X1)
      | ~ in(X0,X1)
      | ~ ordinal(X0)
      | being_limit_ordinal(succ(X0))
      | ~ ordinal(succ(X0)) ),
    inference(resolution,[],[f845,f183]) ).

fof(f1622,plain,
    ! [X2,X0,X1] :
      ( element(sK4(X0),X1)
      | ~ ordinal(X1)
      | ~ in(X2,X1)
      | ~ ordinal(X2)
      | ~ ordinal(X0)
      | ordinal_subset(succ(X2),X0)
      | empty(X0) ),
    inference(subsumption_resolution,[],[f1605,f180]) ).

fof(f1605,plain,
    ! [X2,X0,X1] :
      ( element(sK4(X0),X1)
      | ~ ordinal(X1)
      | ~ in(X2,X1)
      | ~ ordinal(X2)
      | ~ ordinal(X0)
      | ordinal_subset(succ(X2),X0)
      | empty(X0)
      | ~ ordinal(succ(X2)) ),
    inference(resolution,[],[f845,f994]) ).

fof(f1604,plain,
    ! [X0,X1] :
      ( element(sK4(sK4(powerset(succ(X0)))),X1)
      | ~ ordinal(X1)
      | ~ in(X0,X1)
      | ~ ordinal(X0)
      | empty(sK4(powerset(succ(X0)))) ),
    inference(resolution,[],[f845,f466]) ).

fof(f1620,plain,
    ! [X2,X0,X1] :
      ( element(sK3(X0),X1)
      | ~ ordinal(X1)
      | ~ in(X2,X1)
      | ~ ordinal(X2)
      | ~ ordinal(X0)
      | ordinal_subset(succ(X2),X0)
      | being_limit_ordinal(X0) ),
    inference(subsumption_resolution,[],[f1602,f180]) ).

fof(f1602,plain,
    ! [X2,X0,X1] :
      ( element(sK3(X0),X1)
      | ~ ordinal(X1)
      | ~ in(X2,X1)
      | ~ ordinal(X2)
      | ~ ordinal(X0)
      | ordinal_subset(succ(X2),X0)
      | being_limit_ordinal(X0)
      | ~ ordinal(succ(X2)) ),
    inference(resolution,[],[f845,f999]) ).

fof(f1617,plain,
    ! [X2,X0,X1] :
      ( element(X0,X1)
      | ~ ordinal(X1)
      | ~ in(X2,X1)
      | ~ ordinal(X2)
      | ~ empty(X0)
      | succ(X2) = X0 ),
    inference(subsumption_resolution,[],[f1599,f180]) ).

fof(f1599,plain,
    ! [X2,X0,X1] :
      ( element(X0,X1)
      | ~ ordinal(X1)
      | ~ in(X2,X1)
      | ~ ordinal(X2)
      | ~ ordinal(succ(X2))
      | ~ empty(X0)
      | succ(X2) = X0 ),
    inference(resolution,[],[f845,f653]) ).

fof(f1616,plain,
    ! [X2,X0,X1] :
      ( element(X0,X1)
      | ~ ordinal(X1)
      | ~ in(X2,X1)
      | ~ ordinal(X2)
      | in(succ(X2),X0)
      | ~ ordinal(X0)
      | succ(X2) = X0 ),
    inference(subsumption_resolution,[],[f1598,f180]) ).

fof(f1598,plain,
    ! [X2,X0,X1] :
      ( element(X0,X1)
      | ~ ordinal(X1)
      | ~ in(X2,X1)
      | ~ ordinal(X2)
      | in(succ(X2),X0)
      | ~ ordinal(succ(X2))
      | ~ ordinal(X0)
      | succ(X2) = X0 ),
    inference(resolution,[],[f845,f1007]) ).

fof(f1615,plain,
    ! [X2,X0,X1] :
      ( element(X0,X1)
      | ~ ordinal(X1)
      | ~ in(X2,X1)
      | ~ ordinal(X2)
      | in(succ(X2),X0)
      | ~ ordinal(X0)
      | succ(X2) = X0 ),
    inference(subsumption_resolution,[],[f1597,f180]) ).

fof(f1597,plain,
    ! [X2,X0,X1] :
      ( element(X0,X1)
      | ~ ordinal(X1)
      | ~ in(X2,X1)
      | ~ ordinal(X2)
      | in(succ(X2),X0)
      | ~ ordinal(X0)
      | ~ ordinal(succ(X2))
      | succ(X2) = X0 ),
    inference(resolution,[],[f845,f1007]) ).

fof(f1606,plain,
    ! [X0,X1] :
      ( element(X0,X1)
      | ~ ordinal(X1)
      | ~ in(succ(sK3(succ(X0))),X1)
      | ~ ordinal(succ(sK3(succ(X0))))
      | ~ ordinal(X0) ),
    inference(duplicate_literal_removal,[],[f1596]) ).

fof(f1596,plain,
    ! [X0,X1] :
      ( element(X0,X1)
      | ~ ordinal(X1)
      | ~ in(succ(sK3(succ(X0))),X1)
      | ~ ordinal(succ(sK3(succ(X0))))
      | ~ ordinal(succ(sK3(succ(X0))))
      | ~ ordinal(X0) ),
    inference(resolution,[],[f845,f699]) ).

fof(f1607,plain,
    ! [X0,X1] :
      ( element(X0,X1)
      | ~ ordinal(X1)
      | ~ in(succ(X0),X1)
      | ~ ordinal(succ(X0))
      | ~ being_limit_ordinal(succ(X0)) ),
    inference(duplicate_literal_removal,[],[f1595]) ).

fof(f1595,plain,
    ! [X0,X1] :
      ( element(X0,X1)
      | ~ ordinal(X1)
      | ~ in(succ(X0),X1)
      | ~ ordinal(succ(X0))
      | ~ ordinal(succ(X0))
      | ~ being_limit_ordinal(succ(X0)) ),
    inference(resolution,[],[f845,f1253]) ).

fof(f1608,plain,
    ! [X0,X1] :
      ( element(X0,X1)
      | ~ ordinal(X1)
      | ~ in(succ(succ(X0)),X1)
      | ~ ordinal(succ(succ(X0)))
      | ~ ordinal(X0) ),
    inference(duplicate_literal_removal,[],[f1594]) ).

fof(f1594,plain,
    ! [X0,X1] :
      ( element(X0,X1)
      | ~ ordinal(X1)
      | ~ in(succ(succ(X0)),X1)
      | ~ ordinal(succ(succ(X0)))
      | ~ ordinal(succ(succ(X0)))
      | ~ ordinal(X0) ),
    inference(resolution,[],[f845,f684]) ).

fof(f1592,plain,
    ! [X0,X1] :
      ( element(X0,X1)
      | ~ ordinal(X1)
      | ~ in(succ(succ(X0)),X1)
      | ~ ordinal(succ(succ(X0)))
      | ~ ordinal(X0) ),
    inference(resolution,[],[f845,f1387]) ).

fof(f1609,plain,
    ! [X2,X0,X1] :
      ( element(X0,X1)
      | ~ ordinal(X1)
      | ~ in(X2,X1)
      | ~ ordinal(X2)
      | in(X2,succ(X0))
      | ~ ordinal(X0) ),
    inference(duplicate_literal_removal,[],[f1591]) ).

fof(f1591,plain,
    ! [X2,X0,X1] :
      ( element(X0,X1)
      | ~ ordinal(X1)
      | ~ in(X2,X1)
      | ~ ordinal(X2)
      | in(X2,succ(X0))
      | ~ ordinal(X0)
      | ~ ordinal(X2) ),
    inference(resolution,[],[f845,f552]) ).

fof(f1610,plain,
    ! [X2,X0,X1] :
      ( element(X0,X1)
      | ~ ordinal(X1)
      | ~ in(X2,X1)
      | ~ ordinal(X2)
      | in(X2,succ(X0))
      | ~ ordinal(X0) ),
    inference(duplicate_literal_removal,[],[f1590]) ).

fof(f1590,plain,
    ! [X2,X0,X1] :
      ( element(X0,X1)
      | ~ ordinal(X1)
      | ~ in(X2,X1)
      | ~ ordinal(X2)
      | in(X2,succ(X0))
      | ~ ordinal(X2)
      | ~ ordinal(X0) ),
    inference(resolution,[],[f845,f552]) ).

fof(f1611,plain,
    ! [X2,X0,X1] :
      ( element(X0,X1)
      | ~ ordinal(X1)
      | ~ in(X2,X1)
      | ~ ordinal(X2)
      | ~ being_limit_ordinal(X2)
      | ~ in(X0,X2)
      | ~ ordinal(X0) ),
    inference(duplicate_literal_removal,[],[f1589]) ).

fof(f1589,plain,
    ! [X2,X0,X1] :
      ( element(X0,X1)
      | ~ ordinal(X1)
      | ~ in(X2,X1)
      | ~ ordinal(X2)
      | ~ being_limit_ordinal(X2)
      | ~ ordinal(X2)
      | ~ in(X0,X2)
      | ~ ordinal(X0) ),
    inference(resolution,[],[f845,f735]) ).

fof(f1613,plain,
    ! [X2,X0,X1] :
      ( element(X0,X1)
      | ~ ordinal(X1)
      | ~ in(X2,X1)
      | ~ ordinal(X2)
      | in(X2,succ(X0))
      | ~ ordinal(X0) ),
    inference(subsumption_resolution,[],[f1588,f180]) ).

fof(f1588,plain,
    ! [X2,X0,X1] :
      ( element(X0,X1)
      | ~ ordinal(X1)
      | ~ in(X2,X1)
      | ~ ordinal(X2)
      | in(X2,succ(X0))
      | ~ ordinal(X0)
      | ~ ordinal(succ(X2)) ),
    inference(resolution,[],[f845,f1055]) ).

fof(f1612,plain,
    ! [X2,X0,X1] :
      ( element(X0,X1)
      | ~ ordinal(X1)
      | ~ in(X2,X1)
      | ~ ordinal(X2)
      | in(X2,succ(X0))
      | ~ ordinal(succ(X0)) ),
    inference(duplicate_literal_removal,[],[f1587]) ).

fof(f1587,plain,
    ! [X2,X0,X1] :
      ( element(X0,X1)
      | ~ ordinal(X1)
      | ~ in(X2,X1)
      | ~ ordinal(X2)
      | in(X2,succ(X0))
      | ~ ordinal(X2)
      | ~ ordinal(succ(X0)) ),
    inference(resolution,[],[f845,f1055]) ).

fof(f845,plain,
    ! [X2,X0,X1] :
      ( ~ in(X0,succ(X2))
      | element(X0,X1)
      | ~ ordinal(X1)
      | ~ in(X2,X1)
      | ~ ordinal(X2) ),
    inference(subsumption_resolution,[],[f834,f180]) ).

fof(f834,plain,
    ! [X2,X0,X1] :
      ( element(X0,X1)
      | ~ in(X0,succ(X2))
      | ~ ordinal(X1)
      | ~ ordinal(succ(X2))
      | ~ in(X2,X1)
      | ~ ordinal(X2) ),
    inference(duplicate_literal_removal,[],[f831]) ).

fof(f831,plain,
    ! [X2,X0,X1] :
      ( element(X0,X1)
      | ~ in(X0,succ(X2))
      | ~ ordinal(X1)
      | ~ ordinal(succ(X2))
      | ~ in(X2,X1)
      | ~ ordinal(X1)
      | ~ ordinal(X2) ),
    inference(resolution,[],[f436,f185]) ).

fof(f1571,plain,
    ! [X2,X0,X1] :
      ( element(sK4(X0),succ(X1))
      | ~ ordinal(X2)
      | ~ ordinal(X1)
      | in(X1,X2)
      | ~ ordinal(X0)
      | ordinal_subset(X2,X0)
      | empty(X0) ),
    inference(duplicate_literal_removal,[],[f1570]) ).

fof(f1570,plain,
    ! [X2,X0,X1] :
      ( element(sK4(X0),succ(X1))
      | ~ ordinal(X2)
      | ~ ordinal(X1)
      | in(X1,X2)
      | ~ ordinal(X0)
      | ordinal_subset(X2,X0)
      | empty(X0)
      | ~ ordinal(X2) ),
    inference(resolution,[],[f844,f994]) ).

fof(f1569,plain,
    ! [X0,X1] :
      ( element(sK4(sK4(powerset(X0))),succ(X1))
      | ~ ordinal(X0)
      | ~ ordinal(X1)
      | in(X1,X0)
      | empty(sK4(powerset(X0))) ),
    inference(resolution,[],[f844,f466]) ).

fof(f1572,plain,
    ! [X2,X0,X1] :
      ( element(sK3(X0),succ(X1))
      | ~ ordinal(X2)
      | ~ ordinal(X1)
      | in(X1,X2)
      | ~ ordinal(X0)
      | ordinal_subset(X2,X0)
      | being_limit_ordinal(X0) ),
    inference(duplicate_literal_removal,[],[f1567]) ).

fof(f1567,plain,
    ! [X2,X0,X1] :
      ( element(sK3(X0),succ(X1))
      | ~ ordinal(X2)
      | ~ ordinal(X1)
      | in(X1,X2)
      | ~ ordinal(X0)
      | ordinal_subset(X2,X0)
      | being_limit_ordinal(X0)
      | ~ ordinal(X2) ),
    inference(resolution,[],[f844,f999]) ).

fof(f1574,plain,
    ! [X2,X0,X1] :
      ( element(succ(X0),succ(X1))
      | ~ ordinal(X2)
      | ~ ordinal(X1)
      | in(X1,X2)
      | ~ in(X0,X2)
      | ~ ordinal(X0)
      | ~ being_limit_ordinal(X2) ),
    inference(duplicate_literal_removal,[],[f1564]) ).

fof(f1564,plain,
    ! [X2,X0,X1] :
      ( element(succ(X0),succ(X1))
      | ~ ordinal(X2)
      | ~ ordinal(X1)
      | in(X1,X2)
      | ~ in(X0,X2)
      | ~ ordinal(X0)
      | ~ being_limit_ordinal(X2)
      | ~ ordinal(X2) ),
    inference(resolution,[],[f844,f181]) ).

fof(f1575,plain,
    ! [X2,X0,X1] :
      ( element(X0,succ(X1))
      | ~ ordinal(X2)
      | ~ ordinal(X1)
      | in(X1,X2)
      | ~ empty(X0)
      | X0 = X2 ),
    inference(duplicate_literal_removal,[],[f1563]) ).

fof(f1563,plain,
    ! [X2,X0,X1] :
      ( element(X0,succ(X1))
      | ~ ordinal(X2)
      | ~ ordinal(X1)
      | in(X1,X2)
      | ~ ordinal(X2)
      | ~ empty(X0)
      | X0 = X2 ),
    inference(resolution,[],[f844,f653]) ).

fof(f1576,plain,
    ! [X2,X0,X1] :
      ( element(X0,succ(X1))
      | ~ ordinal(X2)
      | ~ ordinal(X1)
      | in(X1,X2)
      | in(X2,X0)
      | ~ ordinal(X0)
      | X0 = X2 ),
    inference(duplicate_literal_removal,[],[f1562]) ).

fof(f1562,plain,
    ! [X2,X0,X1] :
      ( element(X0,succ(X1))
      | ~ ordinal(X2)
      | ~ ordinal(X1)
      | in(X1,X2)
      | in(X2,X0)
      | ~ ordinal(X2)
      | ~ ordinal(X0)
      | X0 = X2 ),
    inference(resolution,[],[f844,f1007]) ).

fof(f1577,plain,
    ! [X2,X0,X1] :
      ( element(X0,succ(X1))
      | ~ ordinal(X2)
      | ~ ordinal(X1)
      | in(X1,X2)
      | in(X2,X0)
      | ~ ordinal(X0)
      | X0 = X2 ),
    inference(duplicate_literal_removal,[],[f1561]) ).

fof(f1561,plain,
    ! [X2,X0,X1] :
      ( element(X0,succ(X1))
      | ~ ordinal(X2)
      | ~ ordinal(X1)
      | in(X1,X2)
      | in(X2,X0)
      | ~ ordinal(X0)
      | ~ ordinal(X2)
      | X0 = X2 ),
    inference(resolution,[],[f844,f1007]) ).

fof(f1560,plain,
    ! [X2,X0,X1] :
      ( element(X0,succ(X1))
      | ~ ordinal(powerset(X2))
      | ~ ordinal(X1)
      | in(X1,powerset(X2))
      | empty(powerset(X2))
      | ~ subset(X0,X2) ),
    inference(resolution,[],[f844,f342]) ).

fof(f1585,plain,
    ! [X0,X1] :
      ( element(X0,succ(X1))
      | ~ ordinal(X1)
      | in(X1,succ(succ(sK3(succ(X0)))))
      | ~ ordinal(succ(sK3(succ(X0))))
      | ~ ordinal(X0) ),
    inference(subsumption_resolution,[],[f1559,f180]) ).

fof(f1559,plain,
    ! [X0,X1] :
      ( element(X0,succ(X1))
      | ~ ordinal(succ(succ(sK3(succ(X0)))))
      | ~ ordinal(X1)
      | in(X1,succ(succ(sK3(succ(X0)))))
      | ~ ordinal(succ(sK3(succ(X0))))
      | ~ ordinal(X0) ),
    inference(resolution,[],[f844,f699]) ).

fof(f1584,plain,
    ! [X0,X1] :
      ( element(X0,succ(X1))
      | ~ ordinal(X1)
      | in(X1,succ(succ(X0)))
      | ~ ordinal(succ(X0))
      | ~ being_limit_ordinal(succ(X0)) ),
    inference(subsumption_resolution,[],[f1558,f180]) ).

fof(f1558,plain,
    ! [X0,X1] :
      ( element(X0,succ(X1))
      | ~ ordinal(succ(succ(X0)))
      | ~ ordinal(X1)
      | in(X1,succ(succ(X0)))
      | ~ ordinal(succ(X0))
      | ~ being_limit_ordinal(succ(X0)) ),
    inference(resolution,[],[f844,f1253]) ).

fof(f1583,plain,
    ! [X0,X1] :
      ( element(X0,succ(X1))
      | ~ ordinal(X1)
      | in(X1,succ(succ(succ(X0))))
      | ~ ordinal(succ(succ(X0)))
      | ~ ordinal(X0) ),
    inference(subsumption_resolution,[],[f1557,f180]) ).

fof(f1557,plain,
    ! [X0,X1] :
      ( element(X0,succ(X1))
      | ~ ordinal(succ(succ(succ(X0))))
      | ~ ordinal(X1)
      | in(X1,succ(succ(succ(X0))))
      | ~ ordinal(succ(succ(X0)))
      | ~ ordinal(X0) ),
    inference(resolution,[],[f844,f684]) ).

fof(f1556,plain,
    ! [X0,X1] :
      ( element(X0,succ(X1))
      | ~ ordinal(succ(succ(succ(X0))))
      | ~ ordinal(X1)
      | in(X1,succ(succ(succ(X0))))
      | ~ ordinal(succ(X0)) ),
    inference(resolution,[],[f844,f1255]) ).

fof(f1555,plain,
    ! [X0,X1] :
      ( element(X0,succ(X1))
      | ~ ordinal(succ(succ(succ(X0))))
      | ~ ordinal(X1)
      | in(X1,succ(succ(succ(X0))))
      | ~ ordinal(X0) ),
    inference(resolution,[],[f844,f1387]) ).

fof(f1582,plain,
    ! [X2,X0,X1] :
      ( element(X0,succ(X1))
      | ~ ordinal(X1)
      | in(X1,succ(X2))
      | in(X2,succ(X0))
      | ~ ordinal(X0)
      | ~ ordinal(X2) ),
    inference(subsumption_resolution,[],[f1554,f180]) ).

fof(f1554,plain,
    ! [X2,X0,X1] :
      ( element(X0,succ(X1))
      | ~ ordinal(succ(X2))
      | ~ ordinal(X1)
      | in(X1,succ(X2))
      | in(X2,succ(X0))
      | ~ ordinal(X0)
      | ~ ordinal(X2) ),
    inference(resolution,[],[f844,f552]) ).

fof(f1581,plain,
    ! [X2,X0,X1] :
      ( element(X0,succ(X1))
      | ~ ordinal(X1)
      | in(X1,succ(X2))
      | in(X2,succ(X0))
      | ~ ordinal(X2)
      | ~ ordinal(X0) ),
    inference(subsumption_resolution,[],[f1553,f180]) ).

fof(f1553,plain,
    ! [X2,X0,X1] :
      ( element(X0,succ(X1))
      | ~ ordinal(succ(X2))
      | ~ ordinal(X1)
      | in(X1,succ(X2))
      | in(X2,succ(X0))
      | ~ ordinal(X2)
      | ~ ordinal(X0) ),
    inference(resolution,[],[f844,f552]) ).

fof(f1580,plain,
    ! [X2,X0,X1] :
      ( element(X0,succ(X1))
      | ~ ordinal(X1)
      | in(X1,succ(X2))
      | ~ being_limit_ordinal(X2)
      | ~ ordinal(X2)
      | ~ in(X0,X2)
      | ~ ordinal(X0) ),
    inference(subsumption_resolution,[],[f1552,f180]) ).

fof(f1552,plain,
    ! [X2,X0,X1] :
      ( element(X0,succ(X1))
      | ~ ordinal(succ(X2))
      | ~ ordinal(X1)
      | in(X1,succ(X2))
      | ~ being_limit_ordinal(X2)
      | ~ ordinal(X2)
      | ~ in(X0,X2)
      | ~ ordinal(X0) ),
    inference(resolution,[],[f844,f735]) ).

fof(f1578,plain,
    ! [X2,X0,X1] :
      ( element(X0,succ(X1))
      | ~ ordinal(succ(X2))
      | ~ ordinal(X1)
      | in(X1,succ(X2))
      | in(X2,succ(X0))
      | ~ ordinal(X0) ),
    inference(duplicate_literal_removal,[],[f1551]) ).

fof(f1551,plain,
    ! [X2,X0,X1] :
      ( element(X0,succ(X1))
      | ~ ordinal(succ(X2))
      | ~ ordinal(X1)
      | in(X1,succ(X2))
      | in(X2,succ(X0))
      | ~ ordinal(X0)
      | ~ ordinal(succ(X2)) ),
    inference(resolution,[],[f844,f1055]) ).

fof(f1579,plain,
    ! [X2,X0,X1] :
      ( element(X0,succ(X1))
      | ~ ordinal(X1)
      | in(X1,succ(X2))
      | in(X2,succ(X0))
      | ~ ordinal(X2)
      | ~ ordinal(succ(X0)) ),
    inference(subsumption_resolution,[],[f1550,f180]) ).

fof(f1550,plain,
    ! [X2,X0,X1] :
      ( element(X0,succ(X1))
      | ~ ordinal(succ(X2))
      | ~ ordinal(X1)
      | in(X1,succ(X2))
      | in(X2,succ(X0))
      | ~ ordinal(X2)
      | ~ ordinal(succ(X0)) ),
    inference(resolution,[],[f844,f1055]) ).

fof(f844,plain,
    ! [X2,X0,X1] :
      ( ~ in(X0,X2)
      | element(X0,succ(X1))
      | ~ ordinal(X2)
      | ~ ordinal(X1)
      | in(X1,X2) ),
    inference(subsumption_resolution,[],[f836,f180]) ).

fof(f836,plain,
    ! [X2,X0,X1] :
      ( element(X0,succ(X1))
      | ~ in(X0,X2)
      | ~ ordinal(succ(X1))
      | ~ ordinal(X2)
      | ~ ordinal(X1)
      | in(X1,X2) ),
    inference(duplicate_literal_removal,[],[f826]) ).

fof(f826,plain,
    ! [X2,X0,X1] :
      ( element(X0,succ(X1))
      | ~ in(X0,X2)
      | ~ ordinal(succ(X1))
      | ~ ordinal(X2)
      | ~ ordinal(X2)
      | ~ ordinal(X1)
      | in(X1,X2) ),
    inference(resolution,[],[f436,f521]) ).

fof(f1539,plain,
    ! [X0] :
      ( ~ ordinal(succ(sK3(succ(powerset(X0)))))
      | ~ ordinal(powerset(X0))
      | ~ subset(succ(succ(sK3(succ(powerset(X0))))),X0)
      | empty(powerset(X0)) ),
    inference(resolution,[],[f699,f439]) ).

fof(f1548,plain,
    ! [X0] :
      ( ~ ordinal(succ(sK3(succ(succ(X0)))))
      | ~ ordinal(X0)
      | in(X0,succ(succ(succ(sK3(succ(succ(X0))))))) ),
    inference(subsumption_resolution,[],[f1547,f180]) ).

fof(f1547,plain,
    ! [X0] :
      ( ~ ordinal(succ(sK3(succ(succ(X0)))))
      | ~ ordinal(succ(succ(sK3(succ(succ(X0))))))
      | ~ ordinal(X0)
      | in(X0,succ(succ(succ(sK3(succ(succ(X0))))))) ),
    inference(subsumption_resolution,[],[f1538,f180]) ).

fof(f1538,plain,
    ! [X0] :
      ( ~ ordinal(succ(sK3(succ(succ(X0)))))
      | ~ ordinal(succ(X0))
      | ~ ordinal(succ(succ(sK3(succ(succ(X0))))))
      | ~ ordinal(X0)
      | in(X0,succ(succ(succ(sK3(succ(succ(X0))))))) ),
    inference(resolution,[],[f699,f682]) ).

fof(f1546,plain,
    ! [X0] :
      ( ~ ordinal(succ(sK3(succ(succ(X0)))))
      | ~ ordinal(X0)
      | ~ in(succ(succ(sK3(succ(succ(X0))))),X0)
      | ~ being_limit_ordinal(X0) ),
    inference(subsumption_resolution,[],[f1545,f180]) ).

fof(f1545,plain,
    ! [X0] :
      ( ~ ordinal(succ(sK3(succ(succ(X0)))))
      | ~ ordinal(X0)
      | ~ in(succ(succ(sK3(succ(succ(X0))))),X0)
      | ~ ordinal(succ(succ(sK3(succ(succ(X0))))))
      | ~ being_limit_ordinal(X0) ),
    inference(subsumption_resolution,[],[f1537,f180]) ).

fof(f1537,plain,
    ! [X0] :
      ( ~ ordinal(succ(sK3(succ(succ(X0)))))
      | ~ ordinal(succ(X0))
      | ~ ordinal(X0)
      | ~ in(succ(succ(sK3(succ(succ(X0))))),X0)
      | ~ ordinal(succ(succ(sK3(succ(succ(X0))))))
      | ~ being_limit_ordinal(X0) ),
    inference(resolution,[],[f699,f891]) ).

fof(f1544,plain,
    ! [X0] :
      ( ~ ordinal(succ(sK3(succ(succ(X0)))))
      | ~ ordinal(succ(X0))
      | in(X0,succ(succ(succ(sK3(succ(succ(X0))))))) ),
    inference(subsumption_resolution,[],[f1540,f180]) ).

fof(f1540,plain,
    ! [X0] :
      ( ~ ordinal(succ(sK3(succ(succ(X0)))))
      | ~ ordinal(succ(X0))
      | ~ ordinal(succ(succ(sK3(succ(succ(X0))))))
      | in(X0,succ(succ(succ(sK3(succ(succ(X0))))))) ),
    inference(duplicate_literal_removal,[],[f1536]) ).

fof(f1536,plain,
    ! [X0] :
      ( ~ ordinal(succ(sK3(succ(succ(X0)))))
      | ~ ordinal(succ(X0))
      | ~ ordinal(succ(succ(sK3(succ(succ(X0))))))
      | ~ ordinal(succ(X0))
      | in(X0,succ(succ(succ(sK3(succ(succ(X0))))))) ),
    inference(resolution,[],[f699,f1222]) ).

fof(f1543,plain,
    ! [X0] :
      ( ~ ordinal(succ(sK3(succ(succ(X0)))))
      | ~ ordinal(X0)
      | ~ ordinal(succ(succ(succ(sK3(succ(succ(X0)))))))
      | in(X0,succ(succ(succ(sK3(succ(succ(X0))))))) ),
    inference(subsumption_resolution,[],[f1535,f180]) ).

fof(f1535,plain,
    ! [X0] :
      ( ~ ordinal(succ(sK3(succ(succ(X0)))))
      | ~ ordinal(succ(X0))
      | ~ ordinal(X0)
      | ~ ordinal(succ(succ(succ(sK3(succ(succ(X0)))))))
      | in(X0,succ(succ(succ(sK3(succ(succ(X0))))))) ),
    inference(resolution,[],[f699,f1235]) ).

fof(f1542,plain,
    ! [X0,X1] :
      ( ~ ordinal(succ(sK3(succ(X0))))
      | ~ ordinal(X0)
      | element(X0,X1)
      | ~ ordinal(X1)
      | ordinal_subset(X1,succ(succ(sK3(succ(X0))))) ),
    inference(subsumption_resolution,[],[f1531,f180]) ).

fof(f1531,plain,
    ! [X0,X1] :
      ( ~ ordinal(succ(sK3(succ(X0))))
      | ~ ordinal(X0)
      | element(X0,X1)
      | ~ ordinal(X1)
      | ~ ordinal(succ(succ(sK3(succ(X0)))))
      | ordinal_subset(X1,succ(succ(sK3(succ(X0))))) ),
    inference(resolution,[],[f699,f837]) ).

fof(f1541,plain,
    ! [X0] :
      ( ~ ordinal(succ(sK3(succ(X0))))
      | ~ ordinal(X0)
      | ~ being_limit_ordinal(X0)
      | ~ in(succ(sK3(succ(X0))),X0) ),
    inference(duplicate_literal_removal,[],[f1530]) ).

fof(f1530,plain,
    ! [X0] :
      ( ~ ordinal(succ(sK3(succ(X0))))
      | ~ ordinal(X0)
      | ~ ordinal(succ(sK3(succ(X0))))
      | ~ being_limit_ordinal(X0)
      | ~ ordinal(X0)
      | ~ in(succ(sK3(succ(X0))),X0) ),
    inference(resolution,[],[f699,f526]) ).

fof(f699,plain,
    ! [X0] :
      ( in(X0,succ(succ(sK3(succ(X0)))))
      | ~ ordinal(succ(sK3(succ(X0))))
      | ~ ordinal(X0) ),
    inference(subsumption_resolution,[],[f698,f180]) ).

fof(f698,plain,
    ! [X0] :
      ( in(X0,succ(succ(sK3(succ(X0)))))
      | ~ ordinal(succ(sK3(succ(X0))))
      | ~ ordinal(X0)
      | ~ ordinal(succ(X0)) ),
    inference(subsumption_resolution,[],[f685,f546]) ).

fof(f685,plain,
    ! [X0] :
      ( in(X0,succ(succ(sK3(succ(X0)))))
      | ~ ordinal(succ(sK3(succ(X0))))
      | ~ ordinal(X0)
      | being_limit_ordinal(succ(X0))
      | ~ ordinal(succ(X0)) ),
    inference(resolution,[],[f552,f184]) ).

fof(f1521,plain,
    ! [X0] :
      ( ~ being_limit_ordinal(sK4(succ(sK4(X0))))
      | ~ ordinal(sK4(succ(sK4(X0))))
      | ~ ordinal(sK4(X0))
      | ~ ordinal(X0)
      | ordinal_subset(sK4(succ(sK4(X0))),X0)
      | empty(X0) ),
    inference(duplicate_literal_removal,[],[f1520]) ).

fof(f1520,plain,
    ! [X0] :
      ( ~ being_limit_ordinal(sK4(succ(sK4(X0))))
      | ~ ordinal(sK4(succ(sK4(X0))))
      | ~ ordinal(sK4(X0))
      | ~ ordinal(X0)
      | ordinal_subset(sK4(succ(sK4(X0))),X0)
      | empty(X0)
      | ~ ordinal(sK4(succ(sK4(X0)))) ),
    inference(resolution,[],[f741,f994]) ).

fof(f1529,plain,
    ! [X0] :
      ( ~ being_limit_ordinal(sK4(succ(sK3(X0))))
      | ~ ordinal(sK4(succ(sK3(X0))))
      | ~ ordinal(X0)
      | ordinal_subset(sK4(succ(sK3(X0))),X0)
      | being_limit_ordinal(X0) ),
    inference(subsumption_resolution,[],[f1522,f182]) ).

fof(f1522,plain,
    ! [X0] :
      ( ~ being_limit_ordinal(sK4(succ(sK3(X0))))
      | ~ ordinal(sK4(succ(sK3(X0))))
      | ~ ordinal(sK3(X0))
      | ~ ordinal(X0)
      | ordinal_subset(sK4(succ(sK3(X0))),X0)
      | being_limit_ordinal(X0) ),
    inference(duplicate_literal_removal,[],[f1519]) ).

fof(f1519,plain,
    ! [X0] :
      ( ~ being_limit_ordinal(sK4(succ(sK3(X0))))
      | ~ ordinal(sK4(succ(sK3(X0))))
      | ~ ordinal(sK3(X0))
      | ~ ordinal(X0)
      | ordinal_subset(sK4(succ(sK3(X0))),X0)
      | being_limit_ordinal(X0)
      | ~ ordinal(sK4(succ(sK3(X0)))) ),
    inference(resolution,[],[f741,f999]) ).

fof(f1528,plain,
    ! [X0] :
      ( ~ being_limit_ordinal(sK4(succ(succ(X0))))
      | ~ ordinal(sK4(succ(succ(X0))))
      | ~ in(X0,sK4(succ(succ(X0))))
      | ~ ordinal(X0) ),
    inference(subsumption_resolution,[],[f1523,f180]) ).

fof(f1523,plain,
    ! [X0] :
      ( ~ being_limit_ordinal(sK4(succ(succ(X0))))
      | ~ ordinal(sK4(succ(succ(X0))))
      | ~ ordinal(succ(X0))
      | ~ in(X0,sK4(succ(succ(X0))))
      | ~ ordinal(X0) ),
    inference(duplicate_literal_removal,[],[f1518]) ).

fof(f1518,plain,
    ! [X0] :
      ( ~ being_limit_ordinal(sK4(succ(succ(X0))))
      | ~ ordinal(sK4(succ(succ(X0))))
      | ~ ordinal(succ(X0))
      | ~ in(X0,sK4(succ(succ(X0))))
      | ~ ordinal(X0)
      | ~ being_limit_ordinal(sK4(succ(succ(X0))))
      | ~ ordinal(sK4(succ(succ(X0)))) ),
    inference(resolution,[],[f741,f181]) ).

fof(f1527,plain,
    ! [X0] :
      ( ~ being_limit_ordinal(sK4(succ(X0)))
      | ~ ordinal(sK4(succ(X0)))
      | ~ empty(X0)
      | sK4(succ(X0)) = X0 ),
    inference(subsumption_resolution,[],[f1524,f192]) ).

fof(f1524,plain,
    ! [X0] :
      ( ~ being_limit_ordinal(sK4(succ(X0)))
      | ~ ordinal(sK4(succ(X0)))
      | ~ ordinal(X0)
      | ~ empty(X0)
      | sK4(succ(X0)) = X0 ),
    inference(duplicate_literal_removal,[],[f1517]) ).

fof(f1517,plain,
    ! [X0] :
      ( ~ being_limit_ordinal(sK4(succ(X0)))
      | ~ ordinal(sK4(succ(X0)))
      | ~ ordinal(X0)
      | ~ ordinal(sK4(succ(X0)))
      | ~ empty(X0)
      | sK4(succ(X0)) = X0 ),
    inference(resolution,[],[f741,f653]) ).

fof(f1525,plain,
    ! [X0] :
      ( ~ being_limit_ordinal(sK4(succ(X0)))
      | ~ ordinal(sK4(succ(X0)))
      | ~ ordinal(X0)
      | in(sK4(succ(X0)),X0)
      | sK4(succ(X0)) = X0 ),
    inference(duplicate_literal_removal,[],[f1516]) ).

fof(f1516,plain,
    ! [X0] :
      ( ~ being_limit_ordinal(sK4(succ(X0)))
      | ~ ordinal(sK4(succ(X0)))
      | ~ ordinal(X0)
      | in(sK4(succ(X0)),X0)
      | ~ ordinal(sK4(succ(X0)))
      | ~ ordinal(X0)
      | sK4(succ(X0)) = X0 ),
    inference(resolution,[],[f741,f1007]) ).

fof(f1526,plain,
    ! [X0] :
      ( ~ being_limit_ordinal(sK4(succ(X0)))
      | ~ ordinal(sK4(succ(X0)))
      | ~ ordinal(X0)
      | in(sK4(succ(X0)),X0)
      | sK4(succ(X0)) = X0 ),
    inference(duplicate_literal_removal,[],[f1515]) ).

fof(f1515,plain,
    ! [X0] :
      ( ~ being_limit_ordinal(sK4(succ(X0)))
      | ~ ordinal(sK4(succ(X0)))
      | ~ ordinal(X0)
      | in(sK4(succ(X0)),X0)
      | ~ ordinal(X0)
      | ~ ordinal(sK4(succ(X0)))
      | sK4(succ(X0)) = X0 ),
    inference(resolution,[],[f741,f1007]) ).

fof(f741,plain,
    ! [X0] :
      ( ~ in(X0,sK4(succ(X0)))
      | ~ being_limit_ordinal(sK4(succ(X0)))
      | ~ ordinal(sK4(succ(X0)))
      | ~ ordinal(X0) ),
    inference(subsumption_resolution,[],[f732,f170]) ).

fof(f732,plain,
    ! [X0] :
      ( ~ ordinal(X0)
      | ~ being_limit_ordinal(sK4(succ(X0)))
      | ~ ordinal(sK4(succ(X0)))
      | ~ in(X0,sK4(succ(X0)))
      | empty(succ(X0)) ),
    inference(resolution,[],[f526,f340]) ).

fof(f1514,plain,
    ! [X0] :
      ( empty(powerset(powerset(X0)))
      | empty(powerset(X0))
      | ~ ordinal_subset(powerset(powerset(X0)),X0)
      | ~ ordinal(X0)
      | ~ ordinal(powerset(powerset(X0))) ),
    inference(resolution,[],[f1512,f209]) ).

fof(f1512,plain,
    ! [X0] :
      ( ~ subset(powerset(powerset(X0)),X0)
      | empty(powerset(powerset(X0)))
      | empty(powerset(X0)) ),
    inference(resolution,[],[f468,f198]) ).

fof(f1513,plain,
    ! [X0,X1] :
      ( empty(powerset(X0))
      | empty(powerset(X1))
      | ~ subset(powerset(X1),X0)
      | ~ ordinal_subset(powerset(X0),X1)
      | ~ ordinal(X1)
      | ~ ordinal(powerset(X0)) ),
    inference(resolution,[],[f468,f209]) ).

fof(f468,plain,
    ! [X0,X1] :
      ( ~ subset(powerset(X1),X0)
      | empty(powerset(X1))
      | empty(powerset(X0))
      | ~ subset(powerset(X0),X1) ),
    inference(resolution,[],[f439,f342]) ).

fof(f1511,plain,
    ! [X0,X1] :
      ( empty(sK4(powerset(powerset(X0))))
      | ~ empty(X0)
      | sK4(sK4(powerset(powerset(X0)))) = sK4(powerset(sK4(powerset(X1))))
      | ~ empty(X1) ),
    inference(resolution,[],[f1499,f502]) ).

fof(f1510,plain,
    ! [X0,X1] :
      ( empty(sK4(powerset(powerset(X0))))
      | ~ empty(X0)
      | sK4(powerset(sK4(powerset(X1)))) = sK4(powerset(sK4(sK4(powerset(powerset(X0))))))
      | ~ empty(X1) ),
    inference(resolution,[],[f1499,f500]) ).

fof(f1509,plain,
    ! [X0] :
      ( empty(sK4(powerset(powerset(X0))))
      | ~ empty(X0)
      | empty_set = sK4(powerset(sK4(powerset(sK4(powerset(sK4(powerset(sK4(sK4(powerset(powerset(X0)))))))))))) ),
    inference(resolution,[],[f1499,f499]) ).

fof(f1508,plain,
    ! [X0] :
      ( empty(sK4(powerset(powerset(X0))))
      | ~ empty(X0)
      | empty_set = sK4(powerset(sK4(powerset(sK4(powerset(sK4(sK4(powerset(powerset(X0)))))))))) ),
    inference(resolution,[],[f1499,f403]) ).

fof(f1507,plain,
    ! [X0,X1] :
      ( empty(sK4(powerset(powerset(X0))))
      | ~ empty(X0)
      | ~ empty(X1)
      | sK4(powerset(X1)) = sK4(powerset(sK4(sK4(powerset(powerset(X0)))))) ),
    inference(resolution,[],[f1499,f393]) ).

fof(f1506,plain,
    ! [X0] :
      ( empty(sK4(powerset(powerset(X0))))
      | ~ empty(X0)
      | empty_set = sK4(powerset(sK4(powerset(sK4(sK4(powerset(powerset(X0)))))))) ),
    inference(resolution,[],[f1499,f356]) ).

fof(f1505,plain,
    ! [X0] :
      ( empty(sK4(powerset(powerset(X0))))
      | ~ empty(X0)
      | empty_set = sK4(powerset(sK4(sK4(powerset(powerset(X0)))))) ),
    inference(resolution,[],[f1499,f354]) ).

fof(f1504,plain,
    ! [X0,X1] :
      ( empty(sK4(powerset(powerset(X0))))
      | ~ empty(X0)
      | sK4(powerset(X1)) = sK4(sK4(powerset(powerset(X0))))
      | ~ empty(X1) ),
    inference(resolution,[],[f1499,f353]) ).

fof(f1503,plain,
    ! [X0,X1] :
      ( empty(sK4(powerset(powerset(X0))))
      | ~ empty(X0)
      | sK4(sK4(powerset(powerset(X0)))) = X1
      | ~ empty(X1) ),
    inference(resolution,[],[f1499,f215]) ).

fof(f1499,plain,
    ! [X0] :
      ( empty(sK4(sK4(powerset(powerset(X0)))))
      | empty(sK4(powerset(powerset(X0))))
      | ~ empty(X0) ),
    inference(resolution,[],[f462,f340]) ).

fof(f1501,plain,
    ! [X0,X1] :
      ( ~ empty(X0)
      | empty(sK4(powerset(powerset(X0))))
      | ~ ordinal(X1)
      | ordinal_subset(sK4(sK4(powerset(powerset(X0)))),X1)
      | empty(X1)
      | ~ ordinal(sK4(sK4(powerset(powerset(X0))))) ),
    inference(resolution,[],[f462,f994]) ).

fof(f1500,plain,
    ! [X0] :
      ( ~ empty(X0)
      | empty(sK4(powerset(powerset(X0))))
      | empty(sK4(powerset(sK4(sK4(powerset(powerset(X0))))))) ),
    inference(resolution,[],[f462,f466]) ).

fof(f1498,plain,
    ! [X0,X1] :
      ( ~ empty(X0)
      | empty(sK4(powerset(powerset(X0))))
      | ~ ordinal(X1)
      | ordinal_subset(sK4(sK4(powerset(powerset(X0)))),X1)
      | being_limit_ordinal(X1)
      | ~ ordinal(sK4(sK4(powerset(powerset(X0))))) ),
    inference(resolution,[],[f462,f999]) ).

fof(f1497,plain,
    ! [X0] :
      ( ~ empty(X0)
      | empty(sK4(powerset(powerset(X0))))
      | being_limit_ordinal(sK4(sK4(powerset(powerset(X0)))))
      | ~ ordinal(sK4(sK4(powerset(powerset(X0))))) ),
    inference(resolution,[],[f462,f183]) ).

fof(f1495,plain,
    ! [X0,X1] :
      ( ~ empty(X0)
      | empty(sK4(powerset(powerset(X0))))
      | ~ ordinal(sK4(sK4(powerset(powerset(X0)))))
      | ~ empty(X1)
      | sK4(sK4(powerset(powerset(X0)))) = X1 ),
    inference(resolution,[],[f462,f653]) ).

fof(f1494,plain,
    ! [X0,X1] :
      ( ~ empty(X0)
      | empty(sK4(powerset(powerset(X0))))
      | in(sK4(sK4(powerset(powerset(X0)))),X1)
      | ~ ordinal(sK4(sK4(powerset(powerset(X0)))))
      | ~ ordinal(X1)
      | sK4(sK4(powerset(powerset(X0)))) = X1 ),
    inference(resolution,[],[f462,f1007]) ).

fof(f1493,plain,
    ! [X0,X1] :
      ( ~ empty(X0)
      | empty(sK4(powerset(powerset(X0))))
      | in(sK4(sK4(powerset(powerset(X0)))),X1)
      | ~ ordinal(X1)
      | ~ ordinal(sK4(sK4(powerset(powerset(X0)))))
      | sK4(sK4(powerset(powerset(X0)))) = X1 ),
    inference(resolution,[],[f462,f1007]) ).

fof(f462,plain,
    ! [X0,X1] :
      ( ~ in(X1,sK4(sK4(powerset(powerset(X0)))))
      | ~ empty(X0)
      | empty(sK4(powerset(powerset(X0)))) ),
    inference(resolution,[],[f432,f218]) ).

fof(f1482,plain,
    ! [X0] :
      ( ~ ordinal(X0)
      | empty(powerset(X0))
      | ~ ordinal(powerset(X0))
      | in(X0,powerset(X0))
      | powerset(X0) = X0 ),
    inference(duplicate_literal_removal,[],[f1479]) ).

fof(f1479,plain,
    ! [X0] :
      ( ~ ordinal(X0)
      | empty(powerset(X0))
      | ~ ordinal(powerset(X0))
      | in(X0,powerset(X0))
      | ~ ordinal(X0)
      | ~ ordinal(powerset(X0))
      | powerset(X0) = X0 ),
    inference(resolution,[],[f1470,f1007]) ).

fof(f1483,plain,
    ! [X0] :
      ( ~ ordinal(X0)
      | empty(powerset(X0))
      | ~ ordinal(powerset(X0))
      | in(X0,powerset(X0))
      | powerset(X0) = X0 ),
    inference(duplicate_literal_removal,[],[f1478]) ).

fof(f1478,plain,
    ! [X0] :
      ( ~ ordinal(X0)
      | empty(powerset(X0))
      | ~ ordinal(powerset(X0))
      | in(X0,powerset(X0))
      | ~ ordinal(powerset(X0))
      | ~ ordinal(X0)
      | powerset(X0) = X0 ),
    inference(resolution,[],[f1470,f1007]) ).

fof(f1477,plain,
    ! [X0] :
      ( ~ ordinal(powerset(X0))
      | empty(powerset(powerset(X0)))
      | ~ ordinal(powerset(powerset(X0)))
      | empty(powerset(X0))
      | ~ subset(powerset(powerset(X0)),X0) ),
    inference(resolution,[],[f1470,f342]) ).

fof(f1492,plain,
    ! [X0] :
      ( empty(powerset(succ(X0)))
      | ~ ordinal(powerset(succ(X0)))
      | in(X0,succ(powerset(succ(X0))))
      | ~ ordinal(X0) ),
    inference(subsumption_resolution,[],[f1484,f180]) ).

fof(f1484,plain,
    ! [X0] :
      ( ~ ordinal(succ(X0))
      | empty(powerset(succ(X0)))
      | ~ ordinal(powerset(succ(X0)))
      | in(X0,succ(powerset(succ(X0))))
      | ~ ordinal(X0) ),
    inference(duplicate_literal_removal,[],[f1476]) ).

fof(f1476,plain,
    ! [X0] :
      ( ~ ordinal(succ(X0))
      | empty(powerset(succ(X0)))
      | ~ ordinal(powerset(succ(X0)))
      | in(X0,succ(powerset(succ(X0))))
      | ~ ordinal(powerset(succ(X0)))
      | ~ ordinal(X0) ),
    inference(resolution,[],[f1470,f552]) ).

fof(f1491,plain,
    ! [X0] :
      ( empty(powerset(succ(X0)))
      | ~ ordinal(powerset(succ(X0)))
      | in(X0,succ(powerset(succ(X0))))
      | ~ ordinal(X0) ),
    inference(subsumption_resolution,[],[f1485,f180]) ).

fof(f1485,plain,
    ! [X0] :
      ( ~ ordinal(succ(X0))
      | empty(powerset(succ(X0)))
      | ~ ordinal(powerset(succ(X0)))
      | in(X0,succ(powerset(succ(X0))))
      | ~ ordinal(X0) ),
    inference(duplicate_literal_removal,[],[f1475]) ).

fof(f1475,plain,
    ! [X0] :
      ( ~ ordinal(succ(X0))
      | empty(powerset(succ(X0)))
      | ~ ordinal(powerset(succ(X0)))
      | in(X0,succ(powerset(succ(X0))))
      | ~ ordinal(X0)
      | ~ ordinal(powerset(succ(X0))) ),
    inference(resolution,[],[f1470,f552]) ).

fof(f1490,plain,
    ! [X0] :
      ( empty(powerset(succ(X0)))
      | ~ ordinal(powerset(succ(X0)))
      | ~ being_limit_ordinal(X0)
      | ~ ordinal(X0)
      | ~ in(powerset(succ(X0)),X0) ),
    inference(subsumption_resolution,[],[f1486,f180]) ).

fof(f1486,plain,
    ! [X0] :
      ( ~ ordinal(succ(X0))
      | empty(powerset(succ(X0)))
      | ~ ordinal(powerset(succ(X0)))
      | ~ being_limit_ordinal(X0)
      | ~ ordinal(X0)
      | ~ in(powerset(succ(X0)),X0) ),
    inference(duplicate_literal_removal,[],[f1474]) ).

fof(f1474,plain,
    ! [X0] :
      ( ~ ordinal(succ(X0))
      | empty(powerset(succ(X0)))
      | ~ ordinal(powerset(succ(X0)))
      | ~ being_limit_ordinal(X0)
      | ~ ordinal(X0)
      | ~ in(powerset(succ(X0)),X0)
      | ~ ordinal(powerset(succ(X0))) ),
    inference(resolution,[],[f1470,f735]) ).

fof(f1487,plain,
    ! [X0] :
      ( ~ ordinal(succ(X0))
      | empty(powerset(succ(X0)))
      | ~ ordinal(powerset(succ(X0)))
      | in(X0,succ(powerset(succ(X0)))) ),
    inference(duplicate_literal_removal,[],[f1473]) ).

fof(f1473,plain,
    ! [X0] :
      ( ~ ordinal(succ(X0))
      | empty(powerset(succ(X0)))
      | ~ ordinal(powerset(succ(X0)))
      | in(X0,succ(powerset(succ(X0))))
      | ~ ordinal(powerset(succ(X0)))
      | ~ ordinal(succ(X0)) ),
    inference(resolution,[],[f1470,f1055]) ).

fof(f1489,plain,
    ! [X0] :
      ( empty(powerset(succ(X0)))
      | ~ ordinal(powerset(succ(X0)))
      | in(X0,succ(powerset(succ(X0))))
      | ~ ordinal(X0) ),
    inference(subsumption_resolution,[],[f1488,f180]) ).

fof(f1488,plain,
    ! [X0] :
      ( empty(powerset(succ(X0)))
      | ~ ordinal(powerset(succ(X0)))
      | in(X0,succ(powerset(succ(X0))))
      | ~ ordinal(X0)
      | ~ ordinal(succ(powerset(succ(X0)))) ),
    inference(subsumption_resolution,[],[f1472,f180]) ).

fof(f1472,plain,
    ! [X0] :
      ( ~ ordinal(succ(X0))
      | empty(powerset(succ(X0)))
      | ~ ordinal(powerset(succ(X0)))
      | in(X0,succ(powerset(succ(X0))))
      | ~ ordinal(X0)
      | ~ ordinal(succ(powerset(succ(X0)))) ),
    inference(resolution,[],[f1470,f1055]) ).

fof(f1470,plain,
    ! [X0] :
      ( ~ in(powerset(X0),X0)
      | ~ ordinal(X0)
      | empty(powerset(X0))
      | ~ ordinal(powerset(X0)) ),
    inference(subsumption_resolution,[],[f1469,f180]) ).

fof(f1469,plain,
    ! [X0] :
      ( empty(powerset(X0))
      | ~ ordinal(X0)
      | ~ ordinal(succ(powerset(X0)))
      | ~ in(powerset(X0),X0)
      | ~ ordinal(powerset(X0)) ),
    inference(duplicate_literal_removal,[],[f1445]) ).

fof(f1445,plain,
    ! [X0] :
      ( empty(powerset(X0))
      | ~ ordinal(X0)
      | ~ ordinal(succ(powerset(X0)))
      | ~ in(powerset(X0),X0)
      | ~ ordinal(X0)
      | ~ ordinal(powerset(X0)) ),
    inference(resolution,[],[f444,f185]) ).

fof(f1471,plain,
    ! [X0] :
      ( empty(powerset(succ(X0)))
      | ~ ordinal(succ(powerset(succ(X0))))
      | ~ ordinal(X0)
      | in(X0,succ(powerset(succ(X0)))) ),
    inference(subsumption_resolution,[],[f1460,f180]) ).

fof(f1460,plain,
    ! [X0] :
      ( empty(powerset(succ(X0)))
      | ~ ordinal(succ(X0))
      | ~ ordinal(succ(powerset(succ(X0))))
      | ~ ordinal(X0)
      | in(X0,succ(powerset(succ(X0)))) ),
    inference(duplicate_literal_removal,[],[f1454]) ).

fof(f1454,plain,
    ! [X0] :
      ( empty(powerset(succ(X0)))
      | ~ ordinal(succ(X0))
      | ~ ordinal(succ(powerset(succ(X0))))
      | ~ ordinal(succ(powerset(succ(X0))))
      | ~ ordinal(X0)
      | in(X0,succ(powerset(succ(X0)))) ),
    inference(resolution,[],[f444,f521]) ).

fof(f1461,plain,
    ! [X0] :
      ( empty(powerset(succ(X0)))
      | ~ ordinal(succ(X0))
      | ~ ordinal(succ(powerset(succ(X0))))
      | element(X0,succ(powerset(succ(X0)))) ),
    inference(duplicate_literal_removal,[],[f1453]) ).

fof(f1453,plain,
    ! [X0] :
      ( empty(powerset(succ(X0)))
      | ~ ordinal(succ(X0))
      | ~ ordinal(succ(powerset(succ(X0))))
      | ~ ordinal(succ(powerset(succ(X0))))
      | ~ ordinal(succ(X0))
      | element(X0,succ(powerset(succ(X0)))) ),
    inference(resolution,[],[f444,f906]) ).

fof(f1462,plain,
    ! [X0] :
      ( empty(powerset(X0))
      | ~ ordinal(X0)
      | ~ ordinal(succ(powerset(X0)))
      | succ(powerset(X0)) = X0
      | proper_subset(X0,succ(powerset(X0))) ),
    inference(duplicate_literal_removal,[],[f1452]) ).

fof(f1452,plain,
    ! [X0] :
      ( empty(powerset(X0))
      | ~ ordinal(X0)
      | ~ ordinal(succ(powerset(X0)))
      | ~ ordinal(X0)
      | succ(powerset(X0)) = X0
      | proper_subset(X0,succ(powerset(X0)))
      | ~ ordinal(succ(powerset(X0))) ),
    inference(resolution,[],[f444,f635]) ).

fof(f1468,plain,
    ! [X0] :
      ( empty(powerset(X0))
      | ~ ordinal(X0)
      | ~ ordinal(succ(powerset(X0)))
      | ordinal_subset(X0,succ(powerset(X0))) ),
    inference(duplicate_literal_removal,[],[f1446]) ).

fof(f1446,plain,
    ! [X0] :
      ( empty(powerset(X0))
      | ~ ordinal(X0)
      | ~ ordinal(succ(powerset(X0)))
      | ordinal_subset(X0,succ(powerset(X0)))
      | ~ ordinal(X0)
      | ~ ordinal(succ(powerset(X0))) ),
    inference(resolution,[],[f444,f208]) ).

fof(f444,plain,
    ! [X0] :
      ( ~ ordinal_subset(succ(powerset(X0)),X0)
      | empty(powerset(X0))
      | ~ ordinal(X0)
      | ~ ordinal(succ(powerset(X0))) ),
    inference(resolution,[],[f441,f209]) ).

fof(f1444,plain,
    ! [X0] :
      ( ~ ordinal(powerset(X0))
      | empty(powerset(X0))
      | ~ ordinal_subset(succ(succ(succ(powerset(X0)))),X0)
      | ~ ordinal(X0)
      | ~ ordinal(succ(succ(succ(powerset(X0))))) ),
    inference(resolution,[],[f1419,f209]) ).

fof(f1419,plain,
    ! [X0] :
      ( ~ subset(succ(succ(succ(powerset(X0)))),X0)
      | ~ ordinal(powerset(X0))
      | empty(powerset(X0)) ),
    inference(resolution,[],[f1387,f439]) ).

fof(f1431,plain,
    ! [X0] :
      ( ~ ordinal(powerset(X0))
      | empty(powerset(X0))
      | ~ subset(succ(succ(succ(powerset(X0)))),X0) ),
    inference(resolution,[],[f1413,f342]) ).

fof(f1443,plain,
    ! [X0] :
      ( in(X0,succ(succ(succ(succ(succ(X0))))))
      | ~ ordinal(succ(succ(succ(succ(X0)))))
      | ~ ordinal(X0) ),
    inference(subsumption_resolution,[],[f1430,f180]) ).

fof(f1430,plain,
    ! [X0] :
      ( ~ ordinal(succ(X0))
      | in(X0,succ(succ(succ(succ(succ(X0))))))
      | ~ ordinal(succ(succ(succ(succ(X0)))))
      | ~ ordinal(X0) ),
    inference(resolution,[],[f1413,f552]) ).

fof(f1442,plain,
    ! [X0] :
      ( in(X0,succ(succ(succ(succ(succ(X0))))))
      | ~ ordinal(X0)
      | ~ ordinal(succ(succ(succ(succ(X0))))) ),
    inference(subsumption_resolution,[],[f1429,f180]) ).

fof(f1429,plain,
    ! [X0] :
      ( ~ ordinal(succ(X0))
      | in(X0,succ(succ(succ(succ(succ(X0))))))
      | ~ ordinal(X0)
      | ~ ordinal(succ(succ(succ(succ(X0))))) ),
    inference(resolution,[],[f1413,f552]) ).

fof(f1441,plain,
    ! [X0] :
      ( ~ being_limit_ordinal(X0)
      | ~ ordinal(X0)
      | ~ in(succ(succ(succ(succ(X0)))),X0)
      | ~ ordinal(succ(succ(succ(succ(X0))))) ),
    inference(subsumption_resolution,[],[f1428,f180]) ).

fof(f1428,plain,
    ! [X0] :
      ( ~ ordinal(succ(X0))
      | ~ being_limit_ordinal(X0)
      | ~ ordinal(X0)
      | ~ in(succ(succ(succ(succ(X0)))),X0)
      | ~ ordinal(succ(succ(succ(succ(X0))))) ),
    inference(resolution,[],[f1413,f735]) ).

fof(f1438,plain,
    ! [X0] :
      ( ~ ordinal(succ(X0))
      | in(X0,succ(succ(succ(succ(succ(X0))))))
      | ~ ordinal(succ(succ(succ(succ(X0))))) ),
    inference(duplicate_literal_removal,[],[f1427]) ).

fof(f1427,plain,
    ! [X0] :
      ( ~ ordinal(succ(X0))
      | in(X0,succ(succ(succ(succ(succ(X0))))))
      | ~ ordinal(succ(succ(succ(succ(X0)))))
      | ~ ordinal(succ(X0)) ),
    inference(resolution,[],[f1413,f1055]) ).

fof(f1440,plain,
    ! [X0] :
      ( in(X0,succ(succ(succ(succ(succ(X0))))))
      | ~ ordinal(X0)
      | ~ ordinal(succ(succ(succ(succ(succ(X0)))))) ),
    inference(subsumption_resolution,[],[f1426,f180]) ).

fof(f1426,plain,
    ! [X0] :
      ( ~ ordinal(succ(X0))
      | in(X0,succ(succ(succ(succ(succ(X0))))))
      | ~ ordinal(X0)
      | ~ ordinal(succ(succ(succ(succ(succ(X0)))))) ),
    inference(resolution,[],[f1413,f1055]) ).

fof(f1413,plain,
    ! [X0] :
      ( ~ in(succ(succ(succ(X0))),X0)
      | ~ ordinal(X0) ),
    inference(resolution,[],[f1387,f205]) ).

fof(f1424,plain,
    ! [X0] :
      ( ~ ordinal(succ(succ(succ(succ(X0)))))
      | ~ ordinal(X0)
      | in(X0,succ(succ(succ(succ(succ(X0)))))) ),
    inference(subsumption_resolution,[],[f1418,f180]) ).

fof(f1418,plain,
    ! [X0] :
      ( ~ ordinal(succ(X0))
      | ~ ordinal(succ(succ(succ(succ(X0)))))
      | ~ ordinal(X0)
      | in(X0,succ(succ(succ(succ(succ(X0)))))) ),
    inference(resolution,[],[f1387,f682]) ).

fof(f1423,plain,
    ! [X0] :
      ( ~ ordinal(X0)
      | ~ in(succ(succ(succ(succ(X0)))),X0)
      | ~ ordinal(succ(succ(succ(succ(X0)))))
      | ~ being_limit_ordinal(X0) ),
    inference(subsumption_resolution,[],[f1417,f180]) ).

fof(f1417,plain,
    ! [X0] :
      ( ~ ordinal(succ(X0))
      | ~ ordinal(X0)
      | ~ in(succ(succ(succ(succ(X0)))),X0)
      | ~ ordinal(succ(succ(succ(succ(X0)))))
      | ~ being_limit_ordinal(X0) ),
    inference(resolution,[],[f1387,f891]) ).

fof(f1420,plain,
    ! [X0] :
      ( ~ ordinal(succ(X0))
      | ~ ordinal(succ(succ(succ(succ(X0)))))
      | in(X0,succ(succ(succ(succ(succ(X0)))))) ),
    inference(duplicate_literal_removal,[],[f1416]) ).

fof(f1416,plain,
    ! [X0] :
      ( ~ ordinal(succ(X0))
      | ~ ordinal(succ(succ(succ(succ(X0)))))
      | ~ ordinal(succ(X0))
      | in(X0,succ(succ(succ(succ(succ(X0)))))) ),
    inference(resolution,[],[f1387,f1222]) ).

fof(f1422,plain,
    ! [X0] :
      ( ~ ordinal(X0)
      | ~ ordinal(succ(succ(succ(succ(succ(X0))))))
      | in(X0,succ(succ(succ(succ(succ(X0)))))) ),
    inference(subsumption_resolution,[],[f1415,f180]) ).

fof(f1415,plain,
    ! [X0] :
      ( ~ ordinal(succ(X0))
      | ~ ordinal(X0)
      | ~ ordinal(succ(succ(succ(succ(succ(X0))))))
      | in(X0,succ(succ(succ(succ(succ(X0)))))) ),
    inference(resolution,[],[f1387,f1235]) ).

fof(f1411,plain,
    ! [X0,X1] :
      ( ~ ordinal(X0)
      | element(X0,X1)
      | ~ ordinal(X1)
      | ~ ordinal(succ(succ(succ(X0))))
      | ordinal_subset(X1,succ(succ(succ(X0)))) ),
    inference(resolution,[],[f1387,f837]) ).

fof(f1387,plain,
    ! [X0] :
      ( in(X0,succ(succ(succ(X0))))
      | ~ ordinal(X0) ),
    inference(global_subsumption,[],[f158,f160,f162,f166,f177,f248,f156,f159,f167,f168,f169,f219,f220,f221,f222,f223,f224,f225,f227,f228,f229,f230,f241,f242,f243,f244,f246,f170,f198,f157,f155,f171,f175,f190,f191,f192,f196,f153,f172,f178,f179,f180,f189,f259,f260,f261,f262,f199,f216,f193,f201,f202,f203,f205,f281,f206,f154,f173,f182,f200,f286,f289,f292,f285,f300,f295,f207,f213,f323,f214,f215,f324,f183,f338,f204,f340,f343,f335,f184,f212,f218,f348,f352,f354,f361,f362,f363,f364,f355,f369,f370,f373,f368,f174,f349,f350,f353,f356,f208,f209,f210,f217,f427,f428,f342,f441,f444,f429,f347,f449,f351,f421,f460,f432,f461,f462,f439,f468,f450,f185,f459,f472,f471,f475,f476,f466,f492,f493,f494,f495,f496,f501,f490,f186,f522,f181,f528,f529,f530,f540,f541,f533,f535,f538,f546,f521,f337,f553,f555,f556,f423,f393,f562,f563,f489,f577,f578,f579,f580,f581,f403,f588,f589,f590,f502,f610,f611,f612,f420,f641,f642,f636,f646,f647,f644,f649,f657,f653,f667,f651,f443,f679,f552,f699,f686,f689,f691,f701,f693,f463,f702,f703,f704,f705,f682,f713,f707,f715,f717,f710,f684,f724,f722,f526,f736,f741,f733,f740,f745,f746,f719,f753,f755,f757,f750,f582,f664,f675,f765,f767,f769,f768,f390,f789,f788,f770,f771,f787,f812,f813,f814,f815,f816,f817,f818,f790,f436,f838,f844,f845,f635,f853,f854,f542,f856,f431,f857,f858,f859,f862,f865,f557,f884,f885,f886,f887,f735,f893,f901,f903,f905,f897,f837,f921,f922,f923,f924,f911,f920,f919,f917,f906,f932,f931,f852,f951,f447,f957,f958,f959,f955,f956,f734,f964,f811,f891,f982,f984,f986,f988,f977,f916,f989,f990,f991,f918,f995,f996,f997,f950,f1004,f499,f1009,f1010,f1011,f1012,f500,f1037,f1038,f1039,f1040,f933,f994,f1076,f1075,f1074,f1077,f1062,f1063,f1064,f1078,f1066,f1079,f1080,f1069,f1070,f1071,f1072,f999,f1099,f1098,f1103,f1087,f1088,f1089,f1106,f1107,f1108,f1094,f1095,f1096,f1097,f1101,f1114,f1115,f1105,f1120,f1119,f1002,f1130,f1129,f1007,f1203,f1202,f1137,f1138,f1139,f1199,f1205,f1206,f1145,f1146,f1198,f1196,f1192,f1191,f1162,f1163,f1164,f1188,f1207,f1208,f1170,f1171,f1187,f1185,f645,f1215,f1217,f1212,f1055,f1252,f1250,f1256,f1248,f1257,f1258,f1230,f1259,f1237,f1261,f1262,f1263,f1264,f1243,f1255,f1266,f1270,f1271,f1272,f1268,f1274,f1283,f1276,f1277,f1284,f1278,f1285,f1279,f1253,f1295,f1296,f1293,f1289,f1298,f1308,f1309,f1310,f1303,f1059,f1323,f1324,f1325,f1317,f1318,f1319,f1084,f1338,f1340,f1332,f1333,f1341,f1222,f1366,f1363,f1367,f1368,f1369,f1370,f1371,f1352,f1235,f1373]) ).

fof(f1404,plain,
    ! [X0] :
      ( succ(X0) = sK4(powerset(succ(X0)))
      | ~ ordinal(sK4(powerset(succ(X0))))
      | ~ in(X0,sK4(powerset(succ(X0))))
      | ~ ordinal(X0) ),
    inference(duplicate_literal_removal,[],[f1403]) ).

fof(f1403,plain,
    ! [X0] :
      ( succ(X0) = sK4(powerset(succ(X0)))
      | ~ ordinal(sK4(powerset(succ(X0))))
      | ~ in(X0,sK4(powerset(succ(X0))))
      | ~ ordinal(X0)
      | succ(X0) = sK4(powerset(succ(X0))) ),
    inference(resolution,[],[f647,f450]) ).

fof(f1408,plain,
    ! [X0,X1] :
      ( succ(X0) = X1
      | ~ ordinal(X1)
      | ~ in(X0,X1)
      | ~ ordinal(X0)
      | in(succ(X0),X1) ),
    inference(subsumption_resolution,[],[f1407,f180]) ).

fof(f1407,plain,
    ! [X0,X1] :
      ( succ(X0) = X1
      | ~ ordinal(X1)
      | ~ in(X0,X1)
      | ~ ordinal(X0)
      | ~ ordinal(succ(X0))
      | in(succ(X0),X1) ),
    inference(duplicate_literal_removal,[],[f1399]) ).

fof(f1399,plain,
    ! [X0,X1] :
      ( succ(X0) = X1
      | ~ ordinal(X1)
      | ~ in(X0,X1)
      | ~ ordinal(X0)
      | ~ ordinal(succ(X0))
      | ~ ordinal(X1)
      | in(succ(X0),X1)
      | succ(X0) = X1 ),
    inference(resolution,[],[f647,f1002]) ).

fof(f647,plain,
    ! [X0,X1] :
      ( proper_subset(succ(X1),X0)
      | succ(X1) = X0
      | ~ ordinal(X0)
      | ~ in(X1,X0)
      | ~ ordinal(X1) ),
    inference(subsumption_resolution,[],[f632,f180]) ).

fof(f632,plain,
    ! [X0,X1] :
      ( ~ ordinal(X0)
      | ~ ordinal(succ(X1))
      | succ(X1) = X0
      | proper_subset(succ(X1),X0)
      | ~ in(X1,X0)
      | ~ ordinal(X1) ),
    inference(duplicate_literal_removal,[],[f629]) ).

fof(f629,plain,
    ! [X0,X1] :
      ( ~ ordinal(X0)
      | ~ ordinal(succ(X1))
      | succ(X1) = X0
      | proper_subset(succ(X1),X0)
      | ~ in(X1,X0)
      | ~ ordinal(X0)
      | ~ ordinal(X1) ),
    inference(resolution,[],[f420,f185]) ).

fof(f1382,plain,
    ! [X0,X1] :
      ( ~ ordinal(X0)
      | ~ ordinal(succ(powerset(X1)))
      | in(X0,succ(powerset(X1)))
      | empty(powerset(X1))
      | ~ subset(succ(X0),X1) ),
    inference(resolution,[],[f1235,f342]) ).

fof(f1398,plain,
    ! [X0] :
      ( ~ ordinal(X0)
      | in(X0,succ(succ(succ(succ(X0)))))
      | ~ ordinal(succ(succ(X0)))
      | ~ being_limit_ordinal(succ(succ(X0))) ),
    inference(global_subsumption,[],[f158,f160,f162,f166,f177,f248,f156,f159,f167,f168,f169,f219,f220,f221,f222,f223,f224,f225,f227,f228,f229,f230,f241,f242,f243,f244,f246,f170,f198,f157,f155,f171,f175,f190,f191,f192,f196,f153,f172,f178,f179,f180,f189,f259,f260,f261,f262,f199,f216,f193,f201,f202,f203,f205,f281,f206,f154,f173,f182,f200,f286,f289,f292,f285,f300,f295,f207,f213,f323,f214,f215,f324,f183,f338,f204,f340,f343,f335,f184,f212,f218,f348,f352,f354,f361,f362,f363,f364,f355,f369,f370,f373,f368,f174,f349,f350,f353,f356,f208,f209,f210,f217,f427,f428,f342,f441,f444,f429,f347,f449,f351,f421,f460,f432,f461,f462,f439,f468,f450,f185,f459,f472,f471,f475,f476,f466,f492,f493,f494,f495,f496,f501,f490,f186,f522,f181,f528,f529,f530,f540,f541,f533,f535,f538,f546,f521,f337,f553,f555,f556,f423,f393,f562,f563,f489,f577,f578,f579,f580,f581,f403,f588,f589,f590,f502,f610,f611,f612,f420,f641,f642,f636,f646,f647,f644,f649,f657,f653,f667,f651,f443,f679,f552,f699,f686,f689,f691,f701,f693,f463,f702,f703,f704,f705,f682,f713,f707,f715,f717,f710,f684,f724,f722,f526,f736,f741,f733,f740,f745,f746,f719,f753,f755,f757,f750,f582,f664,f675,f765,f767,f769,f768,f390,f789,f788,f770,f771,f787,f812,f813,f814,f815,f816,f817,f818,f790,f436,f838,f844,f845,f635,f853,f854,f542,f856,f431,f857,f858,f859,f862,f865,f557,f884,f885,f886,f887,f735,f893,f901,f903,f905,f897,f837,f921,f922,f923,f924,f911,f920,f919,f917,f906,f932,f931,f852,f951,f447,f957,f958,f959,f955,f956,f734,f964,f811,f891,f982,f984,f986,f988,f977,f916,f989,f990,f991,f918,f995,f996,f997,f950,f1004,f499,f1009,f1010,f1011,f1012,f500,f1037,f1038,f1039,f1040,f933,f994,f1076,f1075,f1074,f1077,f1062,f1063,f1064,f1078,f1066,f1079,f1080,f1069,f1070,f1071,f1072,f999,f1099,f1098,f1103,f1087,f1088,f1089,f1106,f1107,f1108,f1094,f1095,f1096,f1097,f1101,f1114,f1115,f1105,f1120,f1119,f1002,f1130,f1129,f1007,f1203,f1202,f1137,f1138,f1139,f1199,f1205,f1206,f1145,f1146,f1198,f1196,f1192,f1191,f1162,f1163,f1164,f1188,f1207,f1208,f1170,f1171,f1187,f1185,f645,f1215,f1217,f1212,f1055,f1252,f1250,f1256,f1248,f1257,f1258,f1230,f1259,f1237,f1261,f1262,f1263,f1264,f1243,f1255,f1266,f1270,f1271,f1272,f1268,f1274,f1283,f1276,f1277,f1284,f1278,f1285,f1279,f1253,f1295,f1296,f1293,f1289,f1298,f1308,f1309,f1310,f1303,f1059,f1323,f1324,f1325,f1317,f1318,f1319,f1084,f1338,f1340,f1332,f1333,f1341,f1222,f1366,f1363,f1367,f1368,f1369,f1370,f1371,f1352,f1235,f1373,f1387,f1374,f1388,f1390,f1391,f1392,f1393,f1394,f1395,f1379,f1396,f1397,f1381]) ).

fof(f1381,plain,
    ! [X0] :
      ( ~ ordinal(X0)
      | ~ ordinal(succ(succ(succ(succ(X0)))))
      | in(X0,succ(succ(succ(succ(X0)))))
      | ~ ordinal(succ(succ(X0)))
      | ~ being_limit_ordinal(succ(succ(X0))) ),
    inference(resolution,[],[f1235,f1253]) ).

fof(f1397,plain,
    ! [X0] :
      ( ~ ordinal(X0)
      | in(X0,succ(succ(succ(succ(succ(X0))))))
      | ~ ordinal(succ(succ(succ(X0)))) ),
    inference(global_subsumption,[],[f158,f160,f162,f166,f177,f248,f156,f159,f167,f168,f169,f219,f220,f221,f222,f223,f224,f225,f227,f228,f229,f230,f241,f242,f243,f244,f246,f170,f198,f157,f155,f171,f175,f190,f191,f192,f196,f153,f172,f178,f179,f180,f189,f259,f260,f261,f262,f199,f216,f193,f201,f202,f203,f205,f281,f206,f154,f173,f182,f200,f286,f289,f292,f285,f300,f295,f207,f213,f323,f214,f215,f324,f183,f338,f204,f340,f343,f335,f184,f212,f218,f348,f352,f354,f361,f362,f363,f364,f355,f369,f370,f373,f368,f174,f349,f350,f353,f356,f208,f209,f210,f217,f427,f428,f342,f441,f444,f429,f347,f449,f351,f421,f460,f432,f461,f462,f439,f468,f450,f185,f459,f472,f471,f475,f476,f466,f492,f493,f494,f495,f496,f501,f490,f186,f522,f181,f528,f529,f530,f540,f541,f533,f535,f538,f546,f521,f337,f553,f555,f556,f423,f393,f562,f563,f489,f577,f578,f579,f580,f581,f403,f588,f589,f590,f502,f610,f611,f612,f420,f641,f642,f636,f646,f647,f644,f649,f657,f653,f667,f651,f443,f679,f552,f699,f686,f689,f691,f701,f693,f463,f702,f703,f704,f705,f682,f713,f707,f715,f717,f710,f684,f724,f722,f526,f736,f741,f733,f740,f745,f746,f719,f753,f755,f757,f750,f582,f664,f675,f765,f767,f769,f768,f390,f789,f788,f770,f771,f787,f812,f813,f814,f815,f816,f817,f818,f790,f436,f838,f844,f845,f635,f853,f854,f542,f856,f431,f857,f858,f859,f862,f865,f557,f884,f885,f886,f887,f735,f893,f901,f903,f905,f897,f837,f921,f922,f923,f924,f911,f920,f919,f917,f906,f932,f931,f852,f951,f447,f957,f958,f959,f955,f956,f734,f964,f811,f891,f982,f984,f986,f988,f977,f916,f989,f990,f991,f918,f995,f996,f997,f950,f1004,f499,f1009,f1010,f1011,f1012,f500,f1037,f1038,f1039,f1040,f933,f994,f1076,f1075,f1074,f1077,f1062,f1063,f1064,f1078,f1066,f1079,f1080,f1069,f1070,f1071,f1072,f999,f1099,f1098,f1103,f1087,f1088,f1089,f1106,f1107,f1108,f1094,f1095,f1096,f1097,f1101,f1114,f1115,f1105,f1120,f1119,f1002,f1130,f1129,f1007,f1203,f1202,f1137,f1138,f1139,f1199,f1205,f1206,f1145,f1146,f1198,f1196,f1192,f1191,f1162,f1163,f1164,f1188,f1207,f1208,f1170,f1171,f1187,f1185,f645,f1215,f1217,f1212,f1055,f1252,f1250,f1256,f1248,f1257,f1258,f1230,f1259,f1237,f1261,f1262,f1263,f1264,f1243,f1255,f1266,f1270,f1271,f1272,f1268,f1274,f1283,f1276,f1277,f1284,f1278,f1285,f1279,f1253,f1295,f1296,f1293,f1289,f1298,f1308,f1309,f1310,f1303,f1059,f1323,f1324,f1325,f1317,f1318,f1319,f1084,f1338,f1340,f1332,f1333,f1341,f1222,f1366,f1363,f1367,f1368,f1369,f1370,f1371,f1352,f1235,f1373,f1387,f1374,f1388,f1390,f1391,f1392,f1393,f1394,f1395,f1379,f1396]) ).

fof(f1396,plain,
    ! [X0] :
      ( ~ ordinal(X0)
      | ~ ordinal(succ(succ(succ(succ(succ(X0))))))
      | in(X0,succ(succ(succ(succ(succ(X0))))))
      | ~ ordinal(succ(succ(succ(X0)))) ),
    inference(subsumption_resolution,[],[f1380,f180]) ).

fof(f1380,plain,
    ! [X0] :
      ( ~ ordinal(X0)
      | ~ ordinal(succ(succ(succ(succ(succ(X0))))))
      | in(X0,succ(succ(succ(succ(succ(X0))))))
      | ~ ordinal(succ(succ(succ(X0))))
      | ~ ordinal(succ(X0)) ),
    inference(resolution,[],[f1235,f684]) ).

fof(f1379,plain,
    ! [X0] :
      ( ~ ordinal(X0)
      | ~ ordinal(succ(succ(succ(succ(succ(X0))))))
      | in(X0,succ(succ(succ(succ(succ(X0))))))
      | ~ ordinal(succ(succ(X0))) ),
    inference(resolution,[],[f1235,f1255]) ).

fof(f1395,plain,
    ! [X0,X1] :
      ( ~ ordinal(X0)
      | in(X0,succ(succ(X1)))
      | in(X1,succ(succ(X0)))
      | ~ ordinal(X1) ),
    inference(global_subsumption,[],[f158,f160,f162,f166,f177,f248,f156,f159,f167,f168,f169,f219,f220,f221,f222,f223,f224,f225,f227,f228,f229,f230,f241,f242,f243,f244,f246,f170,f198,f157,f155,f171,f175,f190,f191,f192,f196,f153,f172,f178,f179,f180,f189,f259,f260,f261,f262,f199,f216,f193,f201,f202,f203,f205,f281,f206,f154,f173,f182,f200,f286,f289,f292,f285,f300,f295,f207,f213,f323,f214,f215,f324,f183,f338,f204,f340,f343,f335,f184,f212,f218,f348,f352,f354,f361,f362,f363,f364,f355,f369,f370,f373,f368,f174,f349,f350,f353,f356,f208,f209,f210,f217,f427,f428,f342,f441,f444,f429,f347,f449,f351,f421,f460,f432,f461,f462,f439,f468,f450,f185,f459,f472,f471,f475,f476,f466,f492,f493,f494,f495,f496,f501,f490,f186,f522,f181,f528,f529,f530,f540,f541,f533,f535,f538,f546,f521,f337,f553,f555,f556,f423,f393,f562,f563,f489,f577,f578,f579,f580,f581,f403,f588,f589,f590,f502,f610,f611,f612,f420,f641,f642,f636,f646,f647,f644,f649,f657,f653,f667,f651,f443,f679,f552,f699,f686,f689,f691,f701,f693,f463,f702,f703,f704,f705,f682,f713,f707,f715,f717,f710,f684,f724,f722,f526,f736,f741,f733,f740,f745,f746,f719,f753,f755,f757,f750,f582,f664,f675,f765,f767,f769,f768,f390,f789,f788,f770,f771,f787,f812,f813,f814,f815,f816,f817,f818,f790,f436,f838,f844,f845,f635,f853,f854,f542,f856,f431,f857,f858,f859,f862,f865,f557,f884,f885,f886,f887,f735,f893,f901,f903,f905,f897,f837,f921,f922,f923,f924,f911,f920,f919,f917,f906,f932,f931,f852,f951,f447,f957,f958,f959,f955,f956,f734,f964,f811,f891,f982,f984,f986,f988,f977,f916,f989,f990,f991,f918,f995,f996,f997,f950,f1004,f499,f1009,f1010,f1011,f1012,f500,f1037,f1038,f1039,f1040,f933,f994,f1076,f1075,f1074,f1077,f1062,f1063,f1064,f1078,f1066,f1079,f1080,f1069,f1070,f1071,f1072,f999,f1099,f1098,f1103,f1087,f1088,f1089,f1106,f1107,f1108,f1094,f1095,f1096,f1097,f1101,f1114,f1115,f1105,f1120,f1119,f1002,f1130,f1129,f1007,f1203,f1202,f1137,f1138,f1139,f1199,f1205,f1206,f1145,f1146,f1198,f1196,f1192,f1191,f1162,f1163,f1164,f1188,f1207,f1208,f1170,f1171,f1187,f1185,f645,f1215,f1217,f1212,f1055,f1252,f1250,f1256,f1248,f1257,f1258,f1230,f1259,f1237,f1261,f1262,f1263,f1264,f1243,f1255,f1266,f1270,f1271,f1272,f1268,f1274,f1283,f1276,f1277,f1284,f1278,f1285,f1279,f1253,f1295,f1296,f1293,f1289,f1298,f1308,f1309,f1310,f1303,f1059,f1323,f1324,f1325,f1317,f1318,f1319,f1084,f1338,f1340,f1332,f1333,f1341,f1222,f1366,f1363,f1367,f1368,f1369,f1370,f1371,f1352,f1235,f1373,f1387,f1374,f1388,f1390,f1391,f1392,f1393,f1394]) ).

fof(f1394,plain,
    ! [X0,X1] :
      ( ~ ordinal(X0)
      | ~ ordinal(succ(succ(X1)))
      | in(X0,succ(succ(X1)))
      | in(X1,succ(succ(X0)))
      | ~ ordinal(X1) ),
    inference(subsumption_resolution,[],[f1378,f180]) ).

fof(f1378,plain,
    ! [X0,X1] :
      ( ~ ordinal(X0)
      | ~ ordinal(succ(succ(X1)))
      | in(X0,succ(succ(X1)))
      | in(X1,succ(succ(X0)))
      | ~ ordinal(succ(X0))
      | ~ ordinal(X1) ),
    inference(resolution,[],[f1235,f552]) ).

fof(f1393,plain,
    ! [X0,X1] :
      ( ~ ordinal(X0)
      | in(X0,succ(succ(X1)))
      | in(X1,succ(succ(X0)))
      | ~ ordinal(X1) ),
    inference(global_subsumption,[],[f158,f160,f162,f166,f177,f248,f156,f159,f167,f168,f169,f219,f220,f221,f222,f223,f224,f225,f227,f228,f229,f230,f241,f242,f243,f244,f246,f170,f198,f157,f155,f171,f175,f190,f191,f192,f196,f153,f172,f178,f179,f180,f189,f259,f260,f261,f262,f199,f216,f193,f201,f202,f203,f205,f281,f206,f154,f173,f182,f200,f286,f289,f292,f285,f300,f295,f207,f213,f323,f214,f215,f324,f183,f338,f204,f340,f343,f335,f184,f212,f218,f348,f352,f354,f361,f362,f363,f364,f355,f369,f370,f373,f368,f174,f349,f350,f353,f356,f208,f209,f210,f217,f427,f428,f342,f441,f444,f429,f347,f449,f351,f421,f460,f432,f461,f462,f439,f468,f450,f185,f459,f472,f471,f475,f476,f466,f492,f493,f494,f495,f496,f501,f490,f186,f522,f181,f528,f529,f530,f540,f541,f533,f535,f538,f546,f521,f337,f553,f555,f556,f423,f393,f562,f563,f489,f577,f578,f579,f580,f581,f403,f588,f589,f590,f502,f610,f611,f612,f420,f641,f642,f636,f646,f647,f644,f649,f657,f653,f667,f651,f443,f679,f552,f699,f686,f689,f691,f701,f693,f463,f702,f703,f704,f705,f682,f713,f707,f715,f717,f710,f684,f724,f722,f526,f736,f741,f733,f740,f745,f746,f719,f753,f755,f757,f750,f582,f664,f675,f765,f767,f769,f768,f390,f789,f788,f770,f771,f787,f812,f813,f814,f815,f816,f817,f818,f790,f436,f838,f844,f845,f635,f853,f854,f542,f856,f431,f857,f858,f859,f862,f865,f557,f884,f885,f886,f887,f735,f893,f901,f903,f905,f897,f837,f921,f922,f923,f924,f911,f920,f919,f917,f906,f932,f931,f852,f951,f447,f957,f958,f959,f955,f956,f734,f964,f811,f891,f982,f984,f986,f988,f977,f916,f989,f990,f991,f918,f995,f996,f997,f950,f1004,f499,f1009,f1010,f1011,f1012,f500,f1037,f1038,f1039,f1040,f933,f994,f1076,f1075,f1074,f1077,f1062,f1063,f1064,f1078,f1066,f1079,f1080,f1069,f1070,f1071,f1072,f999,f1099,f1098,f1103,f1087,f1088,f1089,f1106,f1107,f1108,f1094,f1095,f1096,f1097,f1101,f1114,f1115,f1105,f1120,f1119,f1002,f1130,f1129,f1007,f1203,f1202,f1137,f1138,f1139,f1199,f1205,f1206,f1145,f1146,f1198,f1196,f1192,f1191,f1162,f1163,f1164,f1188,f1207,f1208,f1170,f1171,f1187,f1185,f645,f1215,f1217,f1212,f1055,f1252,f1250,f1256,f1248,f1257,f1258,f1230,f1259,f1237,f1261,f1262,f1263,f1264,f1243,f1255,f1266,f1270,f1271,f1272,f1268,f1274,f1283,f1276,f1277,f1284,f1278,f1285,f1279,f1253,f1295,f1296,f1293,f1289,f1298,f1308,f1309,f1310,f1303,f1059,f1323,f1324,f1325,f1317,f1318,f1319,f1084,f1338,f1340,f1332,f1333,f1341,f1222,f1366,f1363,f1367,f1368,f1369,f1370,f1371,f1352,f1235,f1373,f1387,f1374,f1388,f1390,f1391,f1392]) ).

fof(f1392,plain,
    ! [X0,X1] :
      ( ~ ordinal(X0)
      | ~ ordinal(succ(succ(X1)))
      | in(X0,succ(succ(X1)))
      | in(X1,succ(succ(X0)))
      | ~ ordinal(X1) ),
    inference(subsumption_resolution,[],[f1377,f180]) ).

fof(f1377,plain,
    ! [X0,X1] :
      ( ~ ordinal(X0)
      | ~ ordinal(succ(succ(X1)))
      | in(X0,succ(succ(X1)))
      | in(X1,succ(succ(X0)))
      | ~ ordinal(X1)
      | ~ ordinal(succ(X0)) ),
    inference(resolution,[],[f1235,f552]) ).

fof(f1391,plain,
    ! [X0,X1] :
      ( ~ ordinal(X0)
      | ~ ordinal(succ(succ(X1)))
      | in(X0,succ(succ(X1)))
      | ~ being_limit_ordinal(X1)
      | ~ ordinal(X1)
      | ~ in(succ(X0),X1) ),
    inference(subsumption_resolution,[],[f1376,f180]) ).

fof(f1376,plain,
    ! [X0,X1] :
      ( ~ ordinal(X0)
      | ~ ordinal(succ(succ(X1)))
      | in(X0,succ(succ(X1)))
      | ~ being_limit_ordinal(X1)
      | ~ ordinal(X1)
      | ~ in(succ(X0),X1)
      | ~ ordinal(succ(X0)) ),
    inference(resolution,[],[f1235,f735]) ).

fof(f1390,plain,
    ! [X0,X1] :
      ( ~ ordinal(X0)
      | in(X0,succ(succ(X1)))
      | in(X1,succ(succ(X0)))
      | ~ ordinal(succ(X1)) ),
    inference(subsumption_resolution,[],[f1389,f180]) ).

fof(f1389,plain,
    ! [X0,X1] :
      ( ~ ordinal(X0)
      | in(X0,succ(succ(X1)))
      | in(X1,succ(succ(X0)))
      | ~ ordinal(succ(X0))
      | ~ ordinal(succ(X1)) ),
    inference(subsumption_resolution,[],[f1375,f180]) ).

fof(f1375,plain,
    ! [X0,X1] :
      ( ~ ordinal(X0)
      | ~ ordinal(succ(succ(X1)))
      | in(X0,succ(succ(X1)))
      | in(X1,succ(succ(X0)))
      | ~ ordinal(succ(X0))
      | ~ ordinal(succ(X1)) ),
    inference(resolution,[],[f1235,f1055]) ).

fof(f1388,plain,
    ! [X0,X1] :
      ( ~ ordinal(X0)
      | in(X0,succ(succ(X1)))
      | in(X1,succ(succ(X0)))
      | ~ ordinal(X1) ),
    inference(global_subsumption,[],[f158,f160,f162,f166,f177,f248,f156,f159,f167,f168,f169,f219,f220,f221,f222,f223,f224,f225,f227,f228,f229,f230,f241,f242,f243,f244,f246,f170,f198,f157,f155,f171,f175,f190,f191,f192,f196,f153,f172,f178,f179,f180,f189,f259,f260,f261,f262,f199,f216,f193,f201,f202,f203,f205,f281,f206,f154,f173,f182,f200,f286,f289,f292,f285,f300,f295,f207,f213,f323,f214,f215,f324,f183,f338,f204,f340,f343,f335,f184,f212,f218,f348,f352,f354,f361,f362,f363,f364,f355,f369,f370,f373,f368,f174,f349,f350,f353,f356,f208,f209,f210,f217,f427,f428,f342,f441,f444,f429,f347,f449,f351,f421,f460,f432,f461,f462,f439,f468,f450,f185,f459,f472,f471,f475,f476,f466,f492,f493,f494,f495,f496,f501,f490,f186,f522,f181,f528,f529,f530,f540,f541,f533,f535,f538,f546,f521,f337,f553,f555,f556,f423,f393,f562,f563,f489,f577,f578,f579,f580,f581,f403,f588,f589,f590,f502,f610,f611,f612,f420,f641,f642,f636,f646,f647,f644,f649,f657,f653,f667,f651,f443,f679,f552,f699,f686,f689,f691,f701,f693,f463,f702,f703,f704,f705,f682,f713,f707,f715,f717,f710,f684,f724,f722,f526,f736,f741,f733,f740,f745,f746,f719,f753,f755,f757,f750,f582,f664,f675,f765,f767,f769,f768,f390,f789,f788,f770,f771,f787,f812,f813,f814,f815,f816,f817,f818,f790,f436,f838,f844,f845,f635,f853,f854,f542,f856,f431,f857,f858,f859,f862,f865,f557,f884,f885,f886,f887,f735,f893,f901,f903,f905,f897,f837,f921,f922,f923,f924,f911,f920,f919,f917,f906,f932,f931,f852,f951,f447,f957,f958,f959,f955,f956,f734,f964,f811,f891,f982,f984,f986,f988,f977,f916,f989,f990,f991,f918,f995,f996,f997,f950,f1004,f499,f1009,f1010,f1011,f1012,f500,f1037,f1038,f1039,f1040,f933,f994,f1076,f1075,f1074,f1077,f1062,f1063,f1064,f1078,f1066,f1079,f1080,f1069,f1070,f1071,f1072,f999,f1099,f1098,f1103,f1087,f1088,f1089,f1106,f1107,f1108,f1094,f1095,f1096,f1097,f1101,f1114,f1115,f1105,f1120,f1119,f1002,f1130,f1129,f1007,f1203,f1202,f1137,f1138,f1139,f1199,f1205,f1206,f1145,f1146,f1198,f1196,f1192,f1191,f1162,f1163,f1164,f1188,f1207,f1208,f1170,f1171,f1187,f1185,f645,f1215,f1217,f1212,f1055,f1252,f1250,f1256,f1248,f1257,f1258,f1230,f1259,f1237,f1261,f1262,f1263,f1264,f1243,f1255,f1266,f1270,f1271,f1272,f1268,f1274,f1283,f1276,f1277,f1284,f1278,f1285,f1279,f1253,f1295,f1296,f1293,f1289,f1298,f1308,f1309,f1310,f1303,f1059,f1323,f1324,f1325,f1317,f1318,f1319,f1084,f1338,f1340,f1332,f1333,f1341,f1222,f1366,f1363,f1367,f1368,f1369,f1370,f1371,f1352,f1235,f1373,f1387,f1374]) ).

fof(f1374,plain,
    ! [X0,X1] :
      ( ~ ordinal(X0)
      | ~ ordinal(succ(succ(X1)))
      | in(X0,succ(succ(X1)))
      | in(X1,succ(succ(X0)))
      | ~ ordinal(X1)
      | ~ ordinal(succ(succ(X0))) ),
    inference(resolution,[],[f1235,f1055]) ).

fof(f1373,plain,
    ! [X0] :
      ( ~ ordinal(X0)
      | ~ ordinal(succ(succ(succ(X0))))
      | in(X0,succ(succ(succ(X0)))) ),
    inference(resolution,[],[f1235,f171]) ).

fof(f1235,plain,
    ! [X0,X1] :
      ( ~ in(succ(X0),X1)
      | ~ ordinal(X0)
      | ~ ordinal(succ(X1))
      | in(X0,succ(X1)) ),
    inference(resolution,[],[f1055,f205]) ).

fof(f1352,plain,
    ! [X0,X1] :
      ( ~ ordinal(powerset(X0))
      | ~ ordinal(succ(X1))
      | in(X1,succ(powerset(X0)))
      | empty(powerset(X0))
      | ~ subset(succ(X1),X0) ),
    inference(resolution,[],[f1222,f342]) ).

fof(f1371,plain,
    ! [X0] :
      ( ~ ordinal(succ(X0))
      | in(X0,succ(succ(succ(succ(succ(X0))))))
      | ~ ordinal(succ(succ(succ(X0)))) ),
    inference(subsumption_resolution,[],[f1359,f180]) ).

fof(f1359,plain,
    ! [X0] :
      ( ~ ordinal(succ(succ(succ(succ(X0)))))
      | ~ ordinal(succ(X0))
      | in(X0,succ(succ(succ(succ(succ(X0))))))
      | ~ ordinal(succ(succ(succ(X0)))) ),
    inference(duplicate_literal_removal,[],[f1350]) ).

fof(f1350,plain,
    ! [X0] :
      ( ~ ordinal(succ(succ(succ(succ(X0)))))
      | ~ ordinal(succ(X0))
      | in(X0,succ(succ(succ(succ(succ(X0))))))
      | ~ ordinal(succ(succ(succ(X0))))
      | ~ ordinal(succ(X0)) ),
    inference(resolution,[],[f1222,f684]) ).

fof(f1370,plain,
    ! [X0] :
      ( ~ ordinal(succ(succ(succ(succ(X0)))))
      | ~ ordinal(succ(X0))
      | in(X0,succ(succ(succ(succ(succ(X0)))))) ),
    inference(subsumption_resolution,[],[f1349,f180]) ).

fof(f1349,plain,
    ! [X0] :
      ( ~ ordinal(succ(succ(succ(succ(X0)))))
      | ~ ordinal(succ(X0))
      | in(X0,succ(succ(succ(succ(succ(X0))))))
      | ~ ordinal(succ(succ(X0))) ),
    inference(resolution,[],[f1222,f1255]) ).

fof(f1369,plain,
    ! [X0,X1] :
      ( ~ ordinal(succ(X1))
      | in(X1,succ(succ(X0)))
      | in(X0,succ(succ(X1)))
      | ~ ordinal(X0) ),
    inference(subsumption_resolution,[],[f1360,f180]) ).

fof(f1360,plain,
    ! [X0,X1] :
      ( ~ ordinal(succ(X0))
      | ~ ordinal(succ(X1))
      | in(X1,succ(succ(X0)))
      | in(X0,succ(succ(X1)))
      | ~ ordinal(X0) ),
    inference(duplicate_literal_removal,[],[f1348]) ).

fof(f1348,plain,
    ! [X0,X1] :
      ( ~ ordinal(succ(X0))
      | ~ ordinal(succ(X1))
      | in(X1,succ(succ(X0)))
      | in(X0,succ(succ(X1)))
      | ~ ordinal(succ(X1))
      | ~ ordinal(X0) ),
    inference(resolution,[],[f1222,f552]) ).

fof(f1368,plain,
    ! [X0,X1] :
      ( ~ ordinal(succ(X1))
      | in(X1,succ(succ(X0)))
      | in(X0,succ(succ(X1)))
      | ~ ordinal(X0) ),
    inference(subsumption_resolution,[],[f1361,f180]) ).

fof(f1361,plain,
    ! [X0,X1] :
      ( ~ ordinal(succ(X0))
      | ~ ordinal(succ(X1))
      | in(X1,succ(succ(X0)))
      | in(X0,succ(succ(X1)))
      | ~ ordinal(X0) ),
    inference(duplicate_literal_removal,[],[f1347]) ).

fof(f1347,plain,
    ! [X0,X1] :
      ( ~ ordinal(succ(X0))
      | ~ ordinal(succ(X1))
      | in(X1,succ(succ(X0)))
      | in(X0,succ(succ(X1)))
      | ~ ordinal(X0)
      | ~ ordinal(succ(X1)) ),
    inference(resolution,[],[f1222,f552]) ).

fof(f1367,plain,
    ! [X0,X1] :
      ( ~ ordinal(succ(X1))
      | in(X1,succ(succ(X0)))
      | ~ being_limit_ordinal(X0)
      | ~ ordinal(X0)
      | ~ in(succ(X1),X0) ),
    inference(subsumption_resolution,[],[f1362,f180]) ).

fof(f1362,plain,
    ! [X0,X1] :
      ( ~ ordinal(succ(X0))
      | ~ ordinal(succ(X1))
      | in(X1,succ(succ(X0)))
      | ~ being_limit_ordinal(X0)
      | ~ ordinal(X0)
      | ~ in(succ(X1),X0) ),
    inference(duplicate_literal_removal,[],[f1346]) ).

fof(f1346,plain,
    ! [X0,X1] :
      ( ~ ordinal(succ(X0))
      | ~ ordinal(succ(X1))
      | in(X1,succ(succ(X0)))
      | ~ being_limit_ordinal(X0)
      | ~ ordinal(X0)
      | ~ in(succ(X1),X0)
      | ~ ordinal(succ(X1)) ),
    inference(resolution,[],[f1222,f735]) ).

fof(f1363,plain,
    ! [X0,X1] :
      ( ~ ordinal(succ(X0))
      | ~ ordinal(succ(X1))
      | in(X1,succ(succ(X0)))
      | in(X0,succ(succ(X1))) ),
    inference(duplicate_literal_removal,[],[f1345]) ).

fof(f1345,plain,
    ! [X0,X1] :
      ( ~ ordinal(succ(X0))
      | ~ ordinal(succ(X1))
      | in(X1,succ(succ(X0)))
      | in(X0,succ(succ(X1)))
      | ~ ordinal(succ(X1))
      | ~ ordinal(succ(X0)) ),
    inference(resolution,[],[f1222,f1055]) ).

fof(f1366,plain,
    ! [X0,X1] :
      ( ~ ordinal(succ(X1))
      | in(X1,succ(succ(X0)))
      | in(X0,succ(succ(X1)))
      | ~ ordinal(X0) ),
    inference(subsumption_resolution,[],[f1365,f180]) ).

fof(f1365,plain,
    ! [X0,X1] :
      ( ~ ordinal(succ(X1))
      | in(X1,succ(succ(X0)))
      | in(X0,succ(succ(X1)))
      | ~ ordinal(X0)
      | ~ ordinal(succ(succ(X1))) ),
    inference(subsumption_resolution,[],[f1344,f180]) ).

fof(f1344,plain,
    ! [X0,X1] :
      ( ~ ordinal(succ(X0))
      | ~ ordinal(succ(X1))
      | in(X1,succ(succ(X0)))
      | in(X0,succ(succ(X1)))
      | ~ ordinal(X0)
      | ~ ordinal(succ(succ(X1))) ),
    inference(resolution,[],[f1222,f1055]) ).

fof(f1222,plain,
    ! [X0,X1] :
      ( ~ in(succ(X0),X1)
      | ~ ordinal(X1)
      | ~ ordinal(succ(X0))
      | in(X0,succ(X1)) ),
    inference(resolution,[],[f1055,f205]) ).

fof(f1341,plain,
    ! [X0,X1] :
      ( ordinal_subset(sK4(X0),X1)
      | being_limit_ordinal(X1)
      | ~ ordinal(sK4(X0))
      | ~ ordinal(X1)
      | ~ ordinal(X0)
      | ordinal_subset(sK3(X1),X0)
      | empty(X0) ),
    inference(subsumption_resolution,[],[f1334,f182]) ).

fof(f1334,plain,
    ! [X0,X1] :
      ( ordinal_subset(sK4(X0),X1)
      | being_limit_ordinal(X1)
      | ~ ordinal(sK4(X0))
      | ~ ordinal(X1)
      | ~ ordinal(X0)
      | ordinal_subset(sK3(X1),X0)
      | empty(X0)
      | ~ ordinal(sK3(X1)) ),
    inference(resolution,[],[f1084,f994]) ).

fof(f1333,plain,
    ! [X0] :
      ( ordinal_subset(sK4(sK4(powerset(sK3(X0)))),X0)
      | being_limit_ordinal(X0)
      | ~ ordinal(sK4(sK4(powerset(sK3(X0)))))
      | ~ ordinal(X0)
      | empty(sK4(powerset(sK3(X0)))) ),
    inference(resolution,[],[f1084,f466]) ).

fof(f1332,plain,
    ! [X0] :
      ( ordinal_subset(sK4(sK3(X0)),X0)
      | being_limit_ordinal(X0)
      | ~ ordinal(sK4(sK3(X0)))
      | ~ ordinal(X0)
      | empty(sK3(X0)) ),
    inference(resolution,[],[f1084,f340]) ).

fof(f1340,plain,
    ! [X0,X1] :
      ( ordinal_subset(sK3(X0),X1)
      | being_limit_ordinal(X1)
      | ~ ordinal(X1)
      | ~ ordinal(X0)
      | ordinal_subset(sK3(X1),X0)
      | being_limit_ordinal(X0) ),
    inference(subsumption_resolution,[],[f1339,f182]) ).

fof(f1339,plain,
    ! [X0,X1] :
      ( ordinal_subset(sK3(X0),X1)
      | being_limit_ordinal(X1)
      | ~ ordinal(X1)
      | ~ ordinal(X0)
      | ordinal_subset(sK3(X1),X0)
      | being_limit_ordinal(X0)
      | ~ ordinal(sK3(X1)) ),
    inference(subsumption_resolution,[],[f1331,f182]) ).

fof(f1331,plain,
    ! [X0,X1] :
      ( ordinal_subset(sK3(X0),X1)
      | being_limit_ordinal(X1)
      | ~ ordinal(sK3(X0))
      | ~ ordinal(X1)
      | ~ ordinal(X0)
      | ordinal_subset(sK3(X1),X0)
      | being_limit_ordinal(X0)
      | ~ ordinal(sK3(X1)) ),
    inference(resolution,[],[f1084,f999]) ).

fof(f1338,plain,
    ! [X0,X1] :
      ( ordinal_subset(succ(X0),X1)
      | being_limit_ordinal(X1)
      | ~ ordinal(X1)
      | ~ in(X0,sK3(X1))
      | ~ ordinal(X0)
      | ~ being_limit_ordinal(sK3(X1)) ),
    inference(subsumption_resolution,[],[f1337,f182]) ).

fof(f1337,plain,
    ! [X0,X1] :
      ( ordinal_subset(succ(X0),X1)
      | being_limit_ordinal(X1)
      | ~ ordinal(X1)
      | ~ in(X0,sK3(X1))
      | ~ ordinal(X0)
      | ~ being_limit_ordinal(sK3(X1))
      | ~ ordinal(sK3(X1)) ),
    inference(subsumption_resolution,[],[f1329,f180]) ).

fof(f1329,plain,
    ! [X0,X1] :
      ( ordinal_subset(succ(X0),X1)
      | being_limit_ordinal(X1)
      | ~ ordinal(succ(X0))
      | ~ ordinal(X1)
      | ~ in(X0,sK3(X1))
      | ~ ordinal(X0)
      | ~ being_limit_ordinal(sK3(X1))
      | ~ ordinal(sK3(X1)) ),
    inference(resolution,[],[f1084,f181]) ).

fof(f1084,plain,
    ! [X0,X1] :
      ( ~ in(X1,sK3(X0))
      | ordinal_subset(X1,X0)
      | being_limit_ordinal(X0)
      | ~ ordinal(X1)
      | ~ ordinal(X0) ),
    inference(resolution,[],[f999,f205]) ).

fof(f1319,plain,
    ! [X0,X1] :
      ( ordinal_subset(sK4(X0),X1)
      | empty(X1)
      | ~ ordinal(sK4(X0))
      | ~ ordinal(X1)
      | ~ ordinal(X0)
      | ordinal_subset(sK4(X1),X0)
      | empty(X0)
      | ~ ordinal(sK4(X1)) ),
    inference(resolution,[],[f1059,f994]) ).

fof(f1318,plain,
    ! [X0] :
      ( ordinal_subset(sK4(sK4(powerset(sK4(X0)))),X0)
      | empty(X0)
      | ~ ordinal(sK4(sK4(powerset(sK4(X0)))))
      | ~ ordinal(X0)
      | empty(sK4(powerset(sK4(X0)))) ),
    inference(resolution,[],[f1059,f466]) ).

fof(f1317,plain,
    ! [X0] :
      ( ordinal_subset(sK4(sK4(X0)),X0)
      | empty(X0)
      | ~ ordinal(sK4(sK4(X0)))
      | ~ ordinal(X0)
      | empty(sK4(X0)) ),
    inference(resolution,[],[f1059,f340]) ).

fof(f1325,plain,
    ! [X0,X1] :
      ( ordinal_subset(sK3(X0),X1)
      | empty(X1)
      | ~ ordinal(X1)
      | ~ ordinal(X0)
      | ordinal_subset(sK4(X1),X0)
      | being_limit_ordinal(X0)
      | ~ ordinal(sK4(X1)) ),
    inference(subsumption_resolution,[],[f1316,f182]) ).

fof(f1316,plain,
    ! [X0,X1] :
      ( ordinal_subset(sK3(X0),X1)
      | empty(X1)
      | ~ ordinal(sK3(X0))
      | ~ ordinal(X1)
      | ~ ordinal(X0)
      | ordinal_subset(sK4(X1),X0)
      | being_limit_ordinal(X0)
      | ~ ordinal(sK4(X1)) ),
    inference(resolution,[],[f1059,f999]) ).

fof(f1324,plain,
    ! [X0] :
      ( ordinal_subset(sK3(sK4(X0)),X0)
      | empty(X0)
      | ~ ordinal(X0)
      | being_limit_ordinal(sK4(X0))
      | ~ ordinal(sK4(X0)) ),
    inference(subsumption_resolution,[],[f1315,f182]) ).

fof(f1315,plain,
    ! [X0] :
      ( ordinal_subset(sK3(sK4(X0)),X0)
      | empty(X0)
      | ~ ordinal(sK3(sK4(X0)))
      | ~ ordinal(X0)
      | being_limit_ordinal(sK4(X0))
      | ~ ordinal(sK4(X0)) ),
    inference(resolution,[],[f1059,f183]) ).

fof(f1323,plain,
    ! [X0,X1] :
      ( ordinal_subset(succ(X0),X1)
      | empty(X1)
      | ~ ordinal(X1)
      | ~ in(X0,sK4(X1))
      | ~ ordinal(X0)
      | ~ being_limit_ordinal(sK4(X1))
      | ~ ordinal(sK4(X1)) ),
    inference(subsumption_resolution,[],[f1314,f180]) ).

fof(f1314,plain,
    ! [X0,X1] :
      ( ordinal_subset(succ(X0),X1)
      | empty(X1)
      | ~ ordinal(succ(X0))
      | ~ ordinal(X1)
      | ~ in(X0,sK4(X1))
      | ~ ordinal(X0)
      | ~ being_limit_ordinal(sK4(X1))
      | ~ ordinal(sK4(X1)) ),
    inference(resolution,[],[f1059,f181]) ).

fof(f1059,plain,
    ! [X0,X1] :
      ( ~ in(X1,sK4(X0))
      | ordinal_subset(X1,X0)
      | empty(X0)
      | ~ ordinal(X1)
      | ~ ordinal(X0) ),
    inference(resolution,[],[f994,f205]) ).

fof(f1303,plain,
    ! [X0] :
      ( ~ being_limit_ordinal(succ(powerset(X0)))
      | ~ ordinal(succ(powerset(X0)))
      | empty(powerset(X0))
      | ~ subset(succ(succ(powerset(X0))),X0) ),
    inference(resolution,[],[f1289,f342]) ).

fof(f1310,plain,
    ! [X0] :
      ( ~ being_limit_ordinal(succ(succ(X0)))
      | ~ ordinal(succ(succ(X0)))
      | in(X0,succ(succ(succ(succ(X0)))))
      | ~ ordinal(X0) ),
    inference(subsumption_resolution,[],[f1302,f180]) ).

fof(f1302,plain,
    ! [X0] :
      ( ~ being_limit_ordinal(succ(succ(X0)))
      | ~ ordinal(succ(succ(X0)))
      | in(X0,succ(succ(succ(succ(X0)))))
      | ~ ordinal(succ(succ(succ(X0))))
      | ~ ordinal(X0) ),
    inference(resolution,[],[f1289,f552]) ).

fof(f1309,plain,
    ! [X0] :
      ( ~ being_limit_ordinal(succ(succ(X0)))
      | ~ ordinal(succ(succ(X0)))
      | in(X0,succ(succ(succ(succ(X0)))))
      | ~ ordinal(X0) ),
    inference(subsumption_resolution,[],[f1301,f180]) ).

fof(f1301,plain,
    ! [X0] :
      ( ~ being_limit_ordinal(succ(succ(X0)))
      | ~ ordinal(succ(succ(X0)))
      | in(X0,succ(succ(succ(succ(X0)))))
      | ~ ordinal(X0)
      | ~ ordinal(succ(succ(succ(X0)))) ),
    inference(resolution,[],[f1289,f552]) ).

fof(f1308,plain,
    ! [X0] :
      ( ~ being_limit_ordinal(succ(succ(X0)))
      | ~ ordinal(succ(succ(X0)))
      | in(X0,succ(succ(succ(succ(X0)))))
      | ~ ordinal(X0) ),
    inference(global_subsumption,[],[f158,f160,f162,f166,f177,f248,f156,f159,f167,f168,f169,f219,f220,f221,f222,f223,f224,f225,f227,f228,f229,f230,f241,f242,f243,f244,f246,f170,f198,f157,f155,f171,f175,f190,f191,f192,f196,f153,f172,f178,f179,f180,f189,f259,f260,f261,f262,f199,f216,f193,f201,f202,f203,f205,f281,f206,f154,f173,f182,f200,f286,f289,f292,f285,f300,f295,f207,f213,f323,f214,f215,f324,f183,f338,f204,f340,f343,f335,f184,f212,f218,f348,f352,f354,f361,f362,f363,f364,f355,f369,f370,f373,f368,f174,f349,f350,f353,f356,f208,f209,f210,f217,f427,f428,f342,f441,f444,f429,f347,f449,f351,f421,f460,f432,f461,f462,f439,f468,f450,f185,f459,f472,f471,f475,f476,f466,f492,f493,f494,f495,f496,f501,f490,f186,f522,f181,f528,f529,f530,f540,f541,f533,f535,f538,f546,f521,f337,f553,f555,f556,f423,f393,f562,f563,f489,f577,f578,f579,f580,f581,f403,f588,f589,f590,f502,f610,f611,f612,f420,f641,f642,f636,f646,f647,f644,f649,f657,f653,f667,f651,f443,f679,f552,f699,f686,f689,f691,f701,f693,f463,f702,f703,f704,f705,f682,f713,f707,f715,f717,f710,f684,f724,f722,f526,f736,f741,f733,f740,f745,f746,f719,f753,f755,f757,f750,f582,f664,f675,f765,f767,f769,f768,f390,f789,f788,f770,f771,f787,f812,f813,f814,f815,f816,f817,f818,f790,f436,f838,f844,f845,f635,f853,f854,f542,f856,f431,f857,f858,f859,f862,f865,f557,f884,f885,f886,f887,f735,f893,f901,f903,f905,f897,f837,f921,f922,f923,f924,f911,f920,f919,f917,f906,f932,f931,f852,f951,f447,f957,f958,f959,f955,f956,f734,f964,f811,f891,f982,f984,f986,f988,f977,f916,f989,f990,f991,f918,f995,f996,f997,f950,f1004,f499,f1009,f1010,f1011,f1012,f500,f1037,f1038,f1039,f1040,f933,f994,f1076,f1075,f1074,f1059,f1077,f1062,f1063,f1064,f1078,f1066,f1079,f1080,f1069,f1070,f1071,f1072,f999,f1099,f1098,f1084,f1103,f1087,f1088,f1089,f1106,f1107,f1108,f1094,f1095,f1096,f1097,f1101,f1114,f1115,f1105,f1120,f1119,f1002,f1130,f1129,f1007,f1203,f1202,f1137,f1138,f1139,f1199,f1205,f1206,f1145,f1146,f1198,f1196,f1192,f1191,f1162,f1163,f1164,f1188,f1207,f1208,f1170,f1171,f1187,f1185,f645,f1215,f1217,f1212,f1055,f1252,f1222,f1250,f1256,f1248,f1257,f1258,f1230,f1259,f1235,f1237,f1261,f1262,f1263,f1264,f1243,f1255,f1266,f1270,f1271,f1272,f1268,f1274,f1283,f1276,f1277,f1284,f1278,f1285,f1279,f1253,f1295,f1296,f1293,f1289,f1298]) ).

fof(f1298,plain,
    ! [X0] :
      ( ~ being_limit_ordinal(succ(succ(X0)))
      | ~ ordinal(succ(succ(X0)))
      | in(X0,succ(succ(succ(succ(X0)))))
      | ~ ordinal(X0)
      | ~ ordinal(succ(succ(succ(succ(X0))))) ),
    inference(resolution,[],[f1289,f1055]) ).

fof(f1289,plain,
    ! [X0] :
      ( ~ in(succ(succ(X0)),X0)
      | ~ being_limit_ordinal(succ(X0))
      | ~ ordinal(succ(X0)) ),
    inference(resolution,[],[f1253,f205]) ).

fof(f1293,plain,
    ! [X0] :
      ( ~ ordinal(succ(powerset(X0)))
      | ~ being_limit_ordinal(succ(powerset(X0)))
      | ~ subset(succ(succ(powerset(X0))),X0)
      | empty(powerset(X0)) ),
    inference(resolution,[],[f1253,f439]) ).

fof(f1296,plain,
    ! [X0] :
      ( ~ ordinal(succ(succ(X0)))
      | ~ being_limit_ordinal(succ(succ(X0)))
      | ~ ordinal(X0)
      | in(X0,succ(succ(succ(succ(X0))))) ),
    inference(subsumption_resolution,[],[f1292,f180]) ).

fof(f1292,plain,
    ! [X0] :
      ( ~ ordinal(succ(succ(X0)))
      | ~ being_limit_ordinal(succ(succ(X0)))
      | ~ ordinal(succ(succ(succ(X0))))
      | ~ ordinal(X0)
      | in(X0,succ(succ(succ(succ(X0))))) ),
    inference(resolution,[],[f1253,f682]) ).

fof(f1295,plain,
    ! [X0,X1] :
      ( ~ ordinal(succ(X0))
      | ~ being_limit_ordinal(succ(X0))
      | element(X0,X1)
      | ~ ordinal(X1)
      | ordinal_subset(X1,succ(succ(X0))) ),
    inference(subsumption_resolution,[],[f1287,f180]) ).

fof(f1287,plain,
    ! [X0,X1] :
      ( ~ ordinal(succ(X0))
      | ~ being_limit_ordinal(succ(X0))
      | element(X0,X1)
      | ~ ordinal(X1)
      | ~ ordinal(succ(succ(X0)))
      | ordinal_subset(X1,succ(succ(X0))) ),
    inference(resolution,[],[f1253,f837]) ).

fof(f1253,plain,
    ! [X0] :
      ( in(X0,succ(succ(X0)))
      | ~ ordinal(succ(X0))
      | ~ being_limit_ordinal(succ(X0)) ),
    inference(duplicate_literal_removal,[],[f1219]) ).

fof(f1219,plain,
    ! [X0] :
      ( in(X0,succ(succ(X0)))
      | ~ ordinal(succ(X0))
      | ~ ordinal(succ(X0))
      | ~ ordinal(succ(X0))
      | ~ being_limit_ordinal(succ(X0)) ),
    inference(resolution,[],[f1055,f538]) ).

fof(f1279,plain,
    ! [X0] :
      ( ~ ordinal(succ(powerset(X0)))
      | empty(powerset(X0))
      | ~ subset(succ(succ(succ(powerset(X0)))),X0) ),
    inference(resolution,[],[f1268,f342]) ).

fof(f1285,plain,
    ! [X0] :
      ( in(X0,succ(succ(succ(succ(succ(X0))))))
      | ~ ordinal(succ(succ(succ(succ(X0)))))
      | ~ ordinal(X0) ),
    inference(global_subsumption,[],[f158,f160,f162,f166,f177,f248,f156,f159,f167,f168,f169,f219,f220,f221,f222,f223,f224,f225,f227,f228,f229,f230,f241,f242,f243,f244,f246,f170,f198,f157,f155,f171,f175,f190,f191,f192,f196,f153,f172,f178,f179,f180,f189,f259,f260,f261,f262,f199,f216,f193,f201,f202,f203,f205,f281,f206,f154,f173,f182,f200,f286,f289,f292,f285,f300,f295,f207,f213,f323,f214,f215,f324,f183,f338,f204,f340,f343,f335,f184,f212,f218,f348,f352,f354,f361,f362,f363,f364,f355,f369,f370,f373,f368,f174,f349,f350,f353,f356,f208,f209,f210,f217,f427,f428,f342,f441,f444,f429,f347,f449,f351,f421,f460,f432,f461,f462,f439,f468,f450,f185,f459,f472,f471,f475,f476,f466,f492,f493,f494,f495,f496,f501,f490,f186,f522,f181,f528,f529,f530,f540,f541,f533,f535,f538,f546,f521,f337,f553,f555,f556,f423,f393,f562,f563,f489,f577,f578,f579,f580,f581,f403,f588,f589,f590,f502,f610,f611,f612,f420,f641,f642,f636,f646,f647,f644,f649,f657,f653,f667,f651,f443,f679,f552,f699,f686,f689,f691,f701,f693,f463,f702,f703,f704,f705,f682,f713,f707,f715,f717,f710,f684,f724,f722,f526,f736,f741,f733,f740,f745,f746,f719,f753,f755,f757,f750,f582,f664,f675,f765,f767,f769,f768,f390,f789,f788,f770,f771,f787,f812,f813,f814,f815,f816,f817,f818,f790,f436,f838,f844,f845,f635,f853,f854,f542,f856,f431,f857,f858,f859,f862,f865,f557,f884,f885,f886,f887,f735,f893,f901,f903,f905,f897,f837,f921,f922,f923,f924,f911,f920,f919,f917,f906,f932,f931,f852,f951,f447,f957,f958,f959,f955,f956,f734,f964,f811,f891,f982,f984,f986,f988,f977,f916,f989,f990,f991,f918,f995,f996,f997,f950,f1004,f499,f1009,f1010,f1011,f1012,f500,f1037,f1038,f1039,f1040,f933,f994,f1076,f1075,f1074,f1059,f1077,f1062,f1063,f1064,f1078,f1066,f1079,f1080,f1069,f1070,f1071,f1072,f999,f1099,f1098,f1084,f1103,f1087,f1088,f1089,f1106,f1107,f1108,f1094,f1095,f1096,f1097,f1101,f1114,f1115,f1105,f1120,f1119,f1002,f1130,f1129,f1007,f1203,f1202,f1137,f1138,f1139,f1199,f1205,f1206,f1145,f1146,f1198,f1196,f1192,f1191,f1162,f1163,f1164,f1188,f1207,f1208,f1170,f1171,f1187,f1185,f645,f1215,f1217,f1212,f1055,f1253,f1252,f1222,f1250,f1256,f1248,f1257,f1258,f1230,f1259,f1235,f1237,f1261,f1262,f1263,f1264,f1243,f1255,f1266,f1270,f1271,f1272,f1268,f1274,f1283,f1276,f1277,f1284,f1278]) ).

fof(f1278,plain,
    ! [X0] :
      ( ~ ordinal(succ(succ(X0)))
      | in(X0,succ(succ(succ(succ(succ(X0))))))
      | ~ ordinal(succ(succ(succ(succ(X0)))))
      | ~ ordinal(X0) ),
    inference(resolution,[],[f1268,f552]) ).

fof(f1284,plain,
    ! [X0] :
      ( in(X0,succ(succ(succ(succ(succ(X0))))))
      | ~ ordinal(X0)
      | ~ ordinal(succ(succ(succ(succ(X0))))) ),
    inference(global_subsumption,[],[f158,f160,f162,f166,f177,f248,f156,f159,f167,f168,f169,f219,f220,f221,f222,f223,f224,f225,f227,f228,f229,f230,f241,f242,f243,f244,f246,f170,f198,f157,f155,f171,f175,f190,f191,f192,f196,f153,f172,f178,f179,f180,f189,f259,f260,f261,f262,f199,f216,f193,f201,f202,f203,f205,f281,f206,f154,f173,f182,f200,f286,f289,f292,f285,f300,f295,f207,f213,f323,f214,f215,f324,f183,f338,f204,f340,f343,f335,f184,f212,f218,f348,f352,f354,f361,f362,f363,f364,f355,f369,f370,f373,f368,f174,f349,f350,f353,f356,f208,f209,f210,f217,f427,f428,f342,f441,f444,f429,f347,f449,f351,f421,f460,f432,f461,f462,f439,f468,f450,f185,f459,f472,f471,f475,f476,f466,f492,f493,f494,f495,f496,f501,f490,f186,f522,f181,f528,f529,f530,f540,f541,f533,f535,f538,f546,f521,f337,f553,f555,f556,f423,f393,f562,f563,f489,f577,f578,f579,f580,f581,f403,f588,f589,f590,f502,f610,f611,f612,f420,f641,f642,f636,f646,f647,f644,f649,f657,f653,f667,f651,f443,f679,f552,f699,f686,f689,f691,f701,f693,f463,f702,f703,f704,f705,f682,f713,f707,f715,f717,f710,f684,f724,f722,f526,f736,f741,f733,f740,f745,f746,f719,f753,f755,f757,f750,f582,f664,f675,f765,f767,f769,f768,f390,f789,f788,f770,f771,f787,f812,f813,f814,f815,f816,f817,f818,f790,f436,f838,f844,f845,f635,f853,f854,f542,f856,f431,f857,f858,f859,f862,f865,f557,f884,f885,f886,f887,f735,f893,f901,f903,f905,f897,f837,f921,f922,f923,f924,f911,f920,f919,f917,f906,f932,f931,f852,f951,f447,f957,f958,f959,f955,f956,f734,f964,f811,f891,f982,f984,f986,f988,f977,f916,f989,f990,f991,f918,f995,f996,f997,f950,f1004,f499,f1009,f1010,f1011,f1012,f500,f1037,f1038,f1039,f1040,f933,f994,f1076,f1075,f1074,f1059,f1077,f1062,f1063,f1064,f1078,f1066,f1079,f1080,f1069,f1070,f1071,f1072,f999,f1099,f1098,f1084,f1103,f1087,f1088,f1089,f1106,f1107,f1108,f1094,f1095,f1096,f1097,f1101,f1114,f1115,f1105,f1120,f1119,f1002,f1130,f1129,f1007,f1203,f1202,f1137,f1138,f1139,f1199,f1205,f1206,f1145,f1146,f1198,f1196,f1192,f1191,f1162,f1163,f1164,f1188,f1207,f1208,f1170,f1171,f1187,f1185,f645,f1215,f1217,f1212,f1055,f1253,f1252,f1222,f1250,f1256,f1248,f1257,f1258,f1230,f1259,f1235,f1237,f1261,f1262,f1263,f1264,f1243,f1255,f1266,f1270,f1271,f1272,f1268,f1274,f1283,f1276,f1277]) ).

fof(f1277,plain,
    ! [X0] :
      ( ~ ordinal(succ(succ(X0)))
      | in(X0,succ(succ(succ(succ(succ(X0))))))
      | ~ ordinal(X0)
      | ~ ordinal(succ(succ(succ(succ(X0))))) ),
    inference(resolution,[],[f1268,f552]) ).

fof(f1276,plain,
    ! [X0] :
      ( ~ ordinal(succ(succ(X0)))
      | ~ being_limit_ordinal(X0)
      | ~ ordinal(X0)
      | ~ in(succ(succ(succ(succ(X0)))),X0)
      | ~ ordinal(succ(succ(succ(succ(X0))))) ),
    inference(resolution,[],[f1268,f735]) ).

fof(f1283,plain,
    ! [X0] :
      ( in(X0,succ(succ(succ(succ(succ(X0))))))
      | ~ ordinal(succ(succ(succ(succ(X0)))))
      | ~ ordinal(succ(X0)) ),
    inference(subsumption_resolution,[],[f1275,f180]) ).

fof(f1275,plain,
    ! [X0] :
      ( ~ ordinal(succ(succ(X0)))
      | in(X0,succ(succ(succ(succ(succ(X0))))))
      | ~ ordinal(succ(succ(succ(succ(X0)))))
      | ~ ordinal(succ(X0)) ),
    inference(resolution,[],[f1268,f1055]) ).

fof(f1274,plain,
    ! [X0] :
      ( ~ ordinal(succ(succ(X0)))
      | in(X0,succ(succ(succ(succ(succ(X0))))))
      | ~ ordinal(X0)
      | ~ ordinal(succ(succ(succ(succ(succ(X0)))))) ),
    inference(resolution,[],[f1268,f1055]) ).

fof(f1268,plain,
    ! [X0] :
      ( ~ in(succ(succ(succ(X0))),X0)
      | ~ ordinal(succ(X0)) ),
    inference(resolution,[],[f1255,f205]) ).

fof(f1271,plain,
    ! [X0] :
      ( ~ ordinal(succ(succ(X0)))
      | ~ ordinal(succ(succ(succ(succ(X0)))))
      | ~ ordinal(X0)
      | in(X0,succ(succ(succ(succ(succ(X0)))))) ),
    inference(resolution,[],[f1255,f682]) ).

fof(f1270,plain,
    ! [X0] :
      ( ~ ordinal(succ(succ(X0)))
      | ~ ordinal(X0)
      | ~ in(succ(succ(succ(succ(X0)))),X0)
      | ~ ordinal(succ(succ(succ(succ(X0)))))
      | ~ being_limit_ordinal(X0) ),
    inference(resolution,[],[f1255,f891]) ).

fof(f1266,plain,
    ! [X0,X1] :
      ( ~ ordinal(succ(X0))
      | element(X0,X1)
      | ~ ordinal(X1)
      | ~ ordinal(succ(succ(succ(X0))))
      | ordinal_subset(X1,succ(succ(succ(X0)))) ),
    inference(resolution,[],[f1255,f837]) ).

fof(f1255,plain,
    ! [X0] :
      ( in(X0,succ(succ(succ(X0))))
      | ~ ordinal(succ(X0)) ),
    inference(subsumption_resolution,[],[f1224,f180]) ).

fof(f1224,plain,
    ! [X0] :
      ( in(X0,succ(succ(succ(X0))))
      | ~ ordinal(succ(succ(X0)))
      | ~ ordinal(succ(X0)) ),
    inference(resolution,[],[f1055,f281]) ).

fof(f1243,plain,
    ! [X0,X1] :
      ( in(X0,succ(powerset(X1)))
      | ~ ordinal(X0)
      | ~ ordinal(succ(powerset(X1)))
      | ~ subset(succ(X0),X1)
      | empty(powerset(X1)) ),
    inference(resolution,[],[f1055,f439]) ).

fof(f1264,plain,
    ! [X0,X1] :
      ( in(X0,succ(succ(X1)))
      | ~ ordinal(X0)
      | ~ ordinal(succ(succ(X1)))
      | ~ ordinal(X1)
      | in(X1,succ(succ(X0))) ),
    inference(subsumption_resolution,[],[f1242,f180]) ).

fof(f1242,plain,
    ! [X0,X1] :
      ( in(X0,succ(succ(X1)))
      | ~ ordinal(X0)
      | ~ ordinal(succ(succ(X1)))
      | ~ ordinal(succ(X0))
      | ~ ordinal(X1)
      | in(X1,succ(succ(X0))) ),
    inference(resolution,[],[f1055,f682]) ).

fof(f1263,plain,
    ! [X0,X1] :
      ( in(X0,succ(succ(X1)))
      | ~ ordinal(X0)
      | ~ ordinal(succ(succ(X1)))
      | ~ ordinal(X1)
      | ~ in(succ(X0),X1)
      | ~ being_limit_ordinal(X1) ),
    inference(subsumption_resolution,[],[f1241,f180]) ).

fof(f1241,plain,
    ! [X0,X1] :
      ( in(X0,succ(succ(X1)))
      | ~ ordinal(X0)
      | ~ ordinal(succ(succ(X1)))
      | ~ ordinal(X1)
      | ~ in(succ(X0),X1)
      | ~ ordinal(succ(X0))
      | ~ being_limit_ordinal(X1) ),
    inference(resolution,[],[f1055,f891]) ).

fof(f1262,plain,
    ! [X0] :
      ( in(X0,succ(succ(succ(succ(succ(X0))))))
      | ~ ordinal(X0)
      | ~ ordinal(succ(succ(succ(succ(succ(X0))))))
      | ~ ordinal(succ(succ(succ(X0)))) ),
    inference(subsumption_resolution,[],[f1239,f180]) ).

fof(f1239,plain,
    ! [X0] :
      ( in(X0,succ(succ(succ(succ(succ(X0))))))
      | ~ ordinal(X0)
      | ~ ordinal(succ(succ(succ(succ(succ(X0))))))
      | ~ ordinal(succ(X0))
      | ~ ordinal(succ(succ(succ(X0)))) ),
    inference(resolution,[],[f1055,f719]) ).

fof(f1261,plain,
    ! [X0] :
      ( in(X0,succ(succ(sK3(succ(X0)))))
      | ~ ordinal(X0)
      | ~ ordinal(succ(succ(sK3(succ(X0))))) ),
    inference(subsumption_resolution,[],[f1260,f180]) ).

fof(f1260,plain,
    ! [X0] :
      ( in(X0,succ(succ(sK3(succ(X0)))))
      | ~ ordinal(X0)
      | ~ ordinal(succ(succ(sK3(succ(X0)))))
      | ~ ordinal(succ(X0)) ),
    inference(subsumption_resolution,[],[f1238,f546]) ).

fof(f1238,plain,
    ! [X0] :
      ( in(X0,succ(succ(sK3(succ(X0)))))
      | ~ ordinal(X0)
      | ~ ordinal(succ(succ(sK3(succ(X0)))))
      | being_limit_ordinal(succ(X0))
      | ~ ordinal(succ(X0)) ),
    inference(resolution,[],[f1055,f184]) ).

fof(f1237,plain,
    ! [X0] :
      ( in(X0,succ(succ(succ(X0))))
      | ~ ordinal(X0)
      | ~ ordinal(succ(succ(succ(X0)))) ),
    inference(resolution,[],[f1055,f281]) ).

fof(f1259,plain,
    ! [X2,X0,X1] :
      ( in(X0,succ(X1))
      | ~ ordinal(X0)
      | ~ ordinal(succ(X1))
      | element(X1,X2)
      | ~ ordinal(X2)
      | ordinal_subset(X2,succ(X0)) ),
    inference(subsumption_resolution,[],[f1233,f180]) ).

fof(f1233,plain,
    ! [X2,X0,X1] :
      ( in(X0,succ(X1))
      | ~ ordinal(X0)
      | ~ ordinal(succ(X1))
      | element(X1,X2)
      | ~ ordinal(X2)
      | ~ ordinal(succ(X0))
      | ordinal_subset(X2,succ(X0)) ),
    inference(resolution,[],[f1055,f837]) ).

fof(f1230,plain,
    ! [X0,X1] :
      ( in(X0,succ(powerset(X1)))
      | ~ ordinal(powerset(X1))
      | ~ ordinal(succ(X0))
      | ~ subset(succ(X0),X1)
      | empty(powerset(X1)) ),
    inference(resolution,[],[f1055,f439]) ).

fof(f1258,plain,
    ! [X0,X1] :
      ( in(X0,succ(succ(X1)))
      | ~ ordinal(succ(X0))
      | ~ ordinal(X1)
      | in(X1,succ(succ(X0))) ),
    inference(subsumption_resolution,[],[f1246,f180]) ).

fof(f1246,plain,
    ! [X0,X1] :
      ( in(X0,succ(succ(X1)))
      | ~ ordinal(succ(X1))
      | ~ ordinal(succ(X0))
      | ~ ordinal(X1)
      | in(X1,succ(succ(X0))) ),
    inference(duplicate_literal_removal,[],[f1229]) ).

fof(f1229,plain,
    ! [X0,X1] :
      ( in(X0,succ(succ(X1)))
      | ~ ordinal(succ(X1))
      | ~ ordinal(succ(X0))
      | ~ ordinal(succ(X0))
      | ~ ordinal(X1)
      | in(X1,succ(succ(X0))) ),
    inference(resolution,[],[f1055,f682]) ).

fof(f1257,plain,
    ! [X0,X1] :
      ( in(X0,succ(succ(X1)))
      | ~ ordinal(succ(X0))
      | ~ ordinal(X1)
      | ~ in(succ(X0),X1)
      | ~ being_limit_ordinal(X1) ),
    inference(subsumption_resolution,[],[f1247,f180]) ).

fof(f1247,plain,
    ! [X0,X1] :
      ( in(X0,succ(succ(X1)))
      | ~ ordinal(succ(X1))
      | ~ ordinal(succ(X0))
      | ~ ordinal(X1)
      | ~ in(succ(X0),X1)
      | ~ being_limit_ordinal(X1) ),
    inference(duplicate_literal_removal,[],[f1228]) ).

fof(f1228,plain,
    ! [X0,X1] :
      ( in(X0,succ(succ(X1)))
      | ~ ordinal(succ(X1))
      | ~ ordinal(succ(X0))
      | ~ ordinal(X1)
      | ~ in(succ(X0),X1)
      | ~ ordinal(succ(X0))
      | ~ being_limit_ordinal(X1) ),
    inference(resolution,[],[f1055,f891]) ).

fof(f1248,plain,
    ! [X0] :
      ( in(X0,succ(succ(succ(succ(X0)))))
      | ~ ordinal(succ(succ(succ(X0))))
      | ~ ordinal(succ(X0))
      | ~ being_limit_ordinal(succ(X0)) ),
    inference(duplicate_literal_removal,[],[f1227]) ).

fof(f1227,plain,
    ! [X0] :
      ( in(X0,succ(succ(succ(succ(X0)))))
      | ~ ordinal(succ(succ(succ(X0))))
      | ~ ordinal(succ(X0))
      | ~ being_limit_ordinal(succ(X0))
      | ~ ordinal(succ(X0))
      | ~ ordinal(succ(succ(succ(X0)))) ),
    inference(resolution,[],[f1055,f734]) ).

fof(f1256,plain,
    ! [X0] :
      ( in(X0,succ(succ(succ(succ(succ(X0))))))
      | ~ ordinal(succ(X0))
      | ~ ordinal(succ(succ(succ(X0)))) ),
    inference(subsumption_resolution,[],[f1249,f180]) ).

fof(f1249,plain,
    ! [X0] :
      ( in(X0,succ(succ(succ(succ(succ(X0))))))
      | ~ ordinal(succ(succ(succ(succ(X0)))))
      | ~ ordinal(succ(X0))
      | ~ ordinal(succ(succ(succ(X0)))) ),
    inference(duplicate_literal_removal,[],[f1226]) ).

fof(f1226,plain,
    ! [X0] :
      ( in(X0,succ(succ(succ(succ(succ(X0))))))
      | ~ ordinal(succ(succ(succ(succ(X0)))))
      | ~ ordinal(succ(X0))
      | ~ ordinal(succ(X0))
      | ~ ordinal(succ(succ(succ(X0)))) ),
    inference(resolution,[],[f1055,f719]) ).

fof(f1250,plain,
    ! [X0] :
      ( in(X0,succ(succ(sK3(succ(X0)))))
      | ~ ordinal(succ(sK3(succ(X0))))
      | ~ ordinal(succ(X0))
      | being_limit_ordinal(succ(X0)) ),
    inference(duplicate_literal_removal,[],[f1225]) ).

fof(f1225,plain,
    ! [X0] :
      ( in(X0,succ(succ(sK3(succ(X0)))))
      | ~ ordinal(succ(sK3(succ(X0))))
      | ~ ordinal(succ(X0))
      | being_limit_ordinal(succ(X0))
      | ~ ordinal(succ(X0)) ),
    inference(resolution,[],[f1055,f184]) ).

fof(f1252,plain,
    ! [X2,X0,X1] :
      ( in(X0,succ(X1))
      | ~ ordinal(X1)
      | ~ ordinal(succ(X0))
      | element(X1,X2)
      | ~ ordinal(X2)
      | ordinal_subset(X2,succ(X0)) ),
    inference(duplicate_literal_removal,[],[f1220]) ).

fof(f1220,plain,
    ! [X2,X0,X1] :
      ( in(X0,succ(X1))
      | ~ ordinal(X1)
      | ~ ordinal(succ(X0))
      | element(X1,X2)
      | ~ ordinal(X2)
      | ~ ordinal(succ(X0))
      | ordinal_subset(X2,succ(X0)) ),
    inference(resolution,[],[f1055,f837]) ).

fof(f1055,plain,
    ! [X0,X1] :
      ( in(X1,succ(X0))
      | in(X0,succ(X1))
      | ~ ordinal(X1)
      | ~ ordinal(succ(X0)) ),
    inference(subsumption_resolution,[],[f1054,f170]) ).

fof(f1054,plain,
    ! [X0,X1] :
      ( ~ ordinal(succ(X0))
      | in(X1,succ(X0))
      | ~ ordinal(X1)
      | empty(succ(X1))
      | in(X0,succ(X1)) ),
    inference(resolution,[],[f933,f204]) ).

fof(f1215,plain,
    ! [X0,X1] :
      ( succ(X0) = X1
      | ~ ordinal(X1)
      | ~ ordinal(X0)
      | in(X0,X1)
      | in(X1,succ(X0)) ),
    inference(subsumption_resolution,[],[f1214,f180]) ).

fof(f1214,plain,
    ! [X0,X1] :
      ( succ(X0) = X1
      | ~ ordinal(X1)
      | ~ ordinal(X0)
      | in(X0,X1)
      | ~ ordinal(succ(X0))
      | in(X1,succ(X0)) ),
    inference(duplicate_literal_removal,[],[f1209]) ).

fof(f1209,plain,
    ! [X0,X1] :
      ( succ(X0) = X1
      | ~ ordinal(X1)
      | ~ ordinal(X0)
      | in(X0,X1)
      | ~ ordinal(X1)
      | ~ ordinal(succ(X0))
      | in(X1,succ(X0))
      | succ(X0) = X1 ),
    inference(resolution,[],[f645,f1002]) ).

fof(f645,plain,
    ! [X0,X1] :
      ( proper_subset(X1,succ(X0))
      | succ(X0) = X1
      | ~ ordinal(X1)
      | ~ ordinal(X0)
      | in(X0,X1) ),
    inference(subsumption_resolution,[],[f634,f180]) ).

fof(f634,plain,
    ! [X0,X1] :
      ( ~ ordinal(succ(X0))
      | ~ ordinal(X1)
      | succ(X0) = X1
      | proper_subset(X1,succ(X0))
      | ~ ordinal(X0)
      | in(X0,X1) ),
    inference(duplicate_literal_removal,[],[f627]) ).

fof(f627,plain,
    ! [X0,X1] :
      ( ~ ordinal(succ(X0))
      | ~ ordinal(X1)
      | succ(X0) = X1
      | proper_subset(X1,succ(X0))
      | ~ ordinal(X1)
      | ~ ordinal(X0)
      | in(X0,X1) ),
    inference(resolution,[],[f420,f521]) ).

fof(f1185,plain,
    ! [X0] :
      ( in(X0,succ(succ(X0)))
      | ~ ordinal(succ(succ(X0)))
      | ~ ordinal(X0)
      | succ(succ(X0)) = X0
      | ~ being_limit_ordinal(X0) ),
    inference(duplicate_literal_removal,[],[f1176]) ).

fof(f1176,plain,
    ! [X0] :
      ( in(X0,succ(succ(X0)))
      | ~ ordinal(succ(succ(X0)))
      | ~ ordinal(X0)
      | succ(succ(X0)) = X0
      | ~ being_limit_ordinal(X0)
      | ~ ordinal(X0)
      | ~ ordinal(succ(succ(X0))) ),
    inference(resolution,[],[f1007,f734]) ).

fof(f1187,plain,
    ! [X0] :
      ( in(X0,succ(sK3(X0)))
      | ~ ordinal(succ(sK3(X0)))
      | ~ ordinal(X0)
      | succ(sK3(X0)) = X0
      | being_limit_ordinal(X0) ),
    inference(duplicate_literal_removal,[],[f1174]) ).

fof(f1174,plain,
    ! [X0] :
      ( in(X0,succ(sK3(X0)))
      | ~ ordinal(succ(sK3(X0)))
      | ~ ordinal(X0)
      | succ(sK3(X0)) = X0
      | being_limit_ordinal(X0)
      | ~ ordinal(X0) ),
    inference(resolution,[],[f1007,f184]) ).

fof(f1171,plain,
    ! [X0,X1] :
      ( in(sK4(powerset(X0)),X1)
      | ~ ordinal(X1)
      | ~ ordinal(sK4(powerset(X0)))
      | sK4(powerset(X0)) = X1
      | ~ empty(X0) ),
    inference(resolution,[],[f1007,f348]) ).

fof(f1170,plain,
    ! [X0,X1] :
      ( in(sK4(powerset(X0)),X1)
      | ~ ordinal(X1)
      | ~ ordinal(sK4(powerset(X0)))
      | sK4(powerset(X0)) = X1
      | element(X1,X0) ),
    inference(resolution,[],[f1007,f427]) ).

fof(f1208,plain,
    ! [X0,X1] :
      ( in(sK3(powerset(X0)),X1)
      | ~ ordinal(X1)
      | sK3(powerset(X0)) = X1
      | ~ empty(X0)
      | being_limit_ordinal(powerset(X0))
      | ~ ordinal(powerset(X0)) ),
    inference(subsumption_resolution,[],[f1168,f182]) ).

fof(f1168,plain,
    ! [X0,X1] :
      ( in(sK3(powerset(X0)),X1)
      | ~ ordinal(X1)
      | ~ ordinal(sK3(powerset(X0)))
      | sK3(powerset(X0)) = X1
      | ~ empty(X0)
      | being_limit_ordinal(powerset(X0))
      | ~ ordinal(powerset(X0)) ),
    inference(resolution,[],[f1007,f390]) ).

fof(f1207,plain,
    ! [X0,X1] :
      ( in(sK3(powerset(X0)),X1)
      | ~ ordinal(X1)
      | sK3(powerset(X0)) = X1
      | element(X1,X0)
      | being_limit_ordinal(powerset(X0))
      | ~ ordinal(powerset(X0)) ),
    inference(subsumption_resolution,[],[f1167,f182]) ).

fof(f1167,plain,
    ! [X0,X1] :
      ( in(sK3(powerset(X0)),X1)
      | ~ ordinal(X1)
      | ~ ordinal(sK3(powerset(X0)))
      | sK3(powerset(X0)) = X1
      | element(X1,X0)
      | being_limit_ordinal(powerset(X0))
      | ~ ordinal(powerset(X0)) ),
    inference(resolution,[],[f1007,f447]) ).

fof(f1188,plain,
    ! [X0] :
      ( in(sK3(succ(X0)),X0)
      | ~ ordinal(X0)
      | ~ ordinal(sK3(succ(X0)))
      | sK3(succ(X0)) = X0
      | ~ being_limit_ordinal(sK3(succ(X0))) ),
    inference(duplicate_literal_removal,[],[f1166]) ).

fof(f1166,plain,
    ! [X0] :
      ( in(sK3(succ(X0)),X0)
      | ~ ordinal(X0)
      | ~ ordinal(sK3(succ(X0)))
      | sK3(succ(X0)) = X0
      | ~ being_limit_ordinal(sK3(succ(X0)))
      | ~ ordinal(X0) ),
    inference(resolution,[],[f1007,f740]) ).

fof(f1164,plain,
    ! [X0,X1] :
      ( in(powerset(X0),X1)
      | ~ ordinal(X1)
      | ~ ordinal(powerset(X0))
      | powerset(X0) = X1
      | subset(X1,X0) ),
    inference(resolution,[],[f1007,f324]) ).

fof(f1163,plain,
    ! [X2,X0,X1] :
      ( in(powerset(X0),X1)
      | ~ ordinal(X1)
      | ~ ordinal(powerset(X0))
      | powerset(X0) = X1
      | ~ in(X2,X1)
      | ~ empty(X0) ),
    inference(resolution,[],[f1007,f350]) ).

fof(f1162,plain,
    ! [X2,X0,X1] :
      ( in(powerset(X0),X1)
      | ~ ordinal(X1)
      | ~ ordinal(powerset(X0))
      | powerset(X0) = X1
      | ~ in(X2,X1)
      | element(X2,X0) ),
    inference(resolution,[],[f1007,f429]) ).

fof(f1191,plain,
    ! [X2,X0,X1] :
      ( in(X0,X1)
      | ~ ordinal(X1)
      | ~ ordinal(X0)
      | X0 = X1
      | ~ empty(X2)
      | ordinal_subset(X2,X0) ),
    inference(duplicate_literal_removal,[],[f1158]) ).

fof(f1158,plain,
    ! [X2,X0,X1] :
      ( in(X0,X1)
      | ~ ordinal(X1)
      | ~ ordinal(X0)
      | X0 = X1
      | ~ ordinal(X0)
      | ~ empty(X2)
      | ordinal_subset(X2,X0) ),
    inference(resolution,[],[f1007,f459]) ).

fof(f1192,plain,
    ! [X2,X0,X1] :
      ( in(X0,X1)
      | ~ ordinal(X1)
      | ~ ordinal(X0)
      | X0 = X1
      | element(X1,X2)
      | ~ ordinal(X2)
      | ordinal_subset(X2,X0) ),
    inference(duplicate_literal_removal,[],[f1157]) ).

fof(f1157,plain,
    ! [X2,X0,X1] :
      ( in(X0,X1)
      | ~ ordinal(X1)
      | ~ ordinal(X0)
      | X0 = X1
      | element(X1,X2)
      | ~ ordinal(X2)
      | ~ ordinal(X0)
      | ordinal_subset(X2,X0) ),
    inference(resolution,[],[f1007,f837]) ).

fof(f1196,plain,
    ! [X0] :
      ( in(X0,succ(succ(X0)))
      | ~ ordinal(X0)
      | ~ ordinal(succ(succ(X0)))
      | succ(succ(X0)) = X0
      | ~ being_limit_ordinal(X0) ),
    inference(duplicate_literal_removal,[],[f1151]) ).

fof(f1151,plain,
    ! [X0] :
      ( in(X0,succ(succ(X0)))
      | ~ ordinal(X0)
      | ~ ordinal(succ(succ(X0)))
      | succ(succ(X0)) = X0
      | ~ being_limit_ordinal(X0)
      | ~ ordinal(X0)
      | ~ ordinal(succ(succ(X0))) ),
    inference(resolution,[],[f1007,f734]) ).

fof(f1198,plain,
    ! [X0] :
      ( in(X0,succ(sK3(X0)))
      | ~ ordinal(X0)
      | ~ ordinal(succ(sK3(X0)))
      | succ(sK3(X0)) = X0
      | being_limit_ordinal(X0) ),
    inference(duplicate_literal_removal,[],[f1149]) ).

fof(f1149,plain,
    ! [X0] :
      ( in(X0,succ(sK3(X0)))
      | ~ ordinal(X0)
      | ~ ordinal(succ(sK3(X0)))
      | succ(sK3(X0)) = X0
      | being_limit_ordinal(X0)
      | ~ ordinal(X0) ),
    inference(resolution,[],[f1007,f184]) ).

fof(f1146,plain,
    ! [X0,X1] :
      ( in(sK4(powerset(X0)),X1)
      | ~ ordinal(sK4(powerset(X0)))
      | ~ ordinal(X1)
      | sK4(powerset(X0)) = X1
      | ~ empty(X0) ),
    inference(resolution,[],[f1007,f348]) ).

fof(f1145,plain,
    ! [X0,X1] :
      ( in(sK4(powerset(X0)),X1)
      | ~ ordinal(sK4(powerset(X0)))
      | ~ ordinal(X1)
      | sK4(powerset(X0)) = X1
      | element(X1,X0) ),
    inference(resolution,[],[f1007,f427]) ).

fof(f1206,plain,
    ! [X0,X1] :
      ( in(sK3(powerset(X0)),X1)
      | ~ ordinal(X1)
      | sK3(powerset(X0)) = X1
      | ~ empty(X0)
      | being_limit_ordinal(powerset(X0))
      | ~ ordinal(powerset(X0)) ),
    inference(subsumption_resolution,[],[f1143,f182]) ).

fof(f1143,plain,
    ! [X0,X1] :
      ( in(sK3(powerset(X0)),X1)
      | ~ ordinal(sK3(powerset(X0)))
      | ~ ordinal(X1)
      | sK3(powerset(X0)) = X1
      | ~ empty(X0)
      | being_limit_ordinal(powerset(X0))
      | ~ ordinal(powerset(X0)) ),
    inference(resolution,[],[f1007,f390]) ).

fof(f1205,plain,
    ! [X0,X1] :
      ( in(sK3(powerset(X0)),X1)
      | ~ ordinal(X1)
      | sK3(powerset(X0)) = X1
      | element(X1,X0)
      | being_limit_ordinal(powerset(X0))
      | ~ ordinal(powerset(X0)) ),
    inference(subsumption_resolution,[],[f1142,f182]) ).

fof(f1142,plain,
    ! [X0,X1] :
      ( in(sK3(powerset(X0)),X1)
      | ~ ordinal(sK3(powerset(X0)))
      | ~ ordinal(X1)
      | sK3(powerset(X0)) = X1
      | element(X1,X0)
      | being_limit_ordinal(powerset(X0))
      | ~ ordinal(powerset(X0)) ),
    inference(resolution,[],[f1007,f447]) ).

fof(f1199,plain,
    ! [X0] :
      ( in(sK3(succ(X0)),X0)
      | ~ ordinal(sK3(succ(X0)))
      | ~ ordinal(X0)
      | sK3(succ(X0)) = X0
      | ~ being_limit_ordinal(sK3(succ(X0))) ),
    inference(duplicate_literal_removal,[],[f1141]) ).

fof(f1141,plain,
    ! [X0] :
      ( in(sK3(succ(X0)),X0)
      | ~ ordinal(sK3(succ(X0)))
      | ~ ordinal(X0)
      | sK3(succ(X0)) = X0
      | ~ being_limit_ordinal(sK3(succ(X0)))
      | ~ ordinal(X0) ),
    inference(resolution,[],[f1007,f740]) ).

fof(f1139,plain,
    ! [X0,X1] :
      ( in(powerset(X0),X1)
      | ~ ordinal(powerset(X0))
      | ~ ordinal(X1)
      | powerset(X0) = X1
      | subset(X1,X0) ),
    inference(resolution,[],[f1007,f324]) ).

fof(f1138,plain,
    ! [X2,X0,X1] :
      ( in(powerset(X0),X1)
      | ~ ordinal(powerset(X0))
      | ~ ordinal(X1)
      | powerset(X0) = X1
      | ~ in(X2,X1)
      | ~ empty(X0) ),
    inference(resolution,[],[f1007,f350]) ).

fof(f1137,plain,
    ! [X2,X0,X1] :
      ( in(powerset(X0),X1)
      | ~ ordinal(powerset(X0))
      | ~ ordinal(X1)
      | powerset(X0) = X1
      | ~ in(X2,X1)
      | element(X2,X0) ),
    inference(resolution,[],[f1007,f429]) ).

fof(f1202,plain,
    ! [X2,X0,X1] :
      ( in(X0,X1)
      | ~ ordinal(X0)
      | ~ ordinal(X1)
      | X0 = X1
      | ~ empty(X2)
      | ordinal_subset(X2,X0) ),
    inference(duplicate_literal_removal,[],[f1133]) ).

fof(f1133,plain,
    ! [X2,X0,X1] :
      ( in(X0,X1)
      | ~ ordinal(X0)
      | ~ ordinal(X1)
      | X0 = X1
      | ~ ordinal(X0)
      | ~ empty(X2)
      | ordinal_subset(X2,X0) ),
    inference(resolution,[],[f1007,f459]) ).

fof(f1203,plain,
    ! [X2,X0,X1] :
      ( in(X0,X1)
      | ~ ordinal(X0)
      | ~ ordinal(X1)
      | X0 = X1
      | element(X1,X2)
      | ~ ordinal(X2)
      | ordinal_subset(X2,X0) ),
    inference(duplicate_literal_removal,[],[f1132]) ).

fof(f1132,plain,
    ! [X2,X0,X1] :
      ( in(X0,X1)
      | ~ ordinal(X0)
      | ~ ordinal(X1)
      | X0 = X1
      | element(X1,X2)
      | ~ ordinal(X2)
      | ~ ordinal(X0)
      | ordinal_subset(X2,X0) ),
    inference(resolution,[],[f1007,f837]) ).

fof(f1007,plain,
    ! [X0,X1] :
      ( in(X1,X0)
      | in(X0,X1)
      | ~ ordinal(X0)
      | ~ ordinal(X1)
      | X0 = X1 ),
    inference(subsumption_resolution,[],[f1005,f175]) ).

fof(f1005,plain,
    ! [X0,X1] :
      ( X0 = X1
      | ~ ordinal(X1)
      | ~ ordinal(X0)
      | in(X1,X0)
      | in(X0,X1)
      | ~ epsilon_transitive(X0) ),
    inference(duplicate_literal_removal,[],[f1001]) ).

fof(f1001,plain,
    ! [X0,X1] :
      ( X0 = X1
      | ~ ordinal(X1)
      | ~ ordinal(X0)
      | in(X1,X0)
      | in(X0,X1)
      | ~ ordinal(X1)
      | ~ epsilon_transitive(X0) ),
    inference(resolution,[],[f950,f174]) ).

fof(f1129,plain,
    ! [X0,X1] :
      ( ~ ordinal(X0)
      | ~ ordinal(X1)
      | in(X0,X1)
      | X0 = X1
      | in(X1,X0) ),
    inference(duplicate_literal_removal,[],[f1122]) ).

fof(f1122,plain,
    ! [X0,X1] :
      ( ~ ordinal(X0)
      | ~ ordinal(X1)
      | in(X0,X1)
      | X0 = X1
      | X0 = X1
      | ~ ordinal(X1)
      | ~ ordinal(X0)
      | in(X1,X0) ),
    inference(resolution,[],[f1002,f950]) ).

fof(f1130,plain,
    ! [X0] :
      ( ~ ordinal(sK4(powerset(X0)))
      | ~ ordinal(X0)
      | in(sK4(powerset(X0)),X0)
      | sK4(powerset(X0)) = X0 ),
    inference(duplicate_literal_removal,[],[f1121]) ).

fof(f1121,plain,
    ! [X0] :
      ( ~ ordinal(sK4(powerset(X0)))
      | ~ ordinal(X0)
      | in(sK4(powerset(X0)),X0)
      | sK4(powerset(X0)) = X0
      | sK4(powerset(X0)) = X0 ),
    inference(resolution,[],[f1002,f347]) ).

fof(f1002,plain,
    ! [X0,X1] :
      ( ~ proper_subset(X1,X0)
      | ~ ordinal(X1)
      | ~ ordinal(X0)
      | in(X1,X0)
      | X0 = X1 ),
    inference(resolution,[],[f950,f203]) ).

fof(f1119,plain,
    ! [X0] :
      ( ~ ordinal(X0)
      | being_limit_ordinal(X0)
      | being_limit_ordinal(sK3(X0))
      | ~ ordinal(sK3(sK3(X0)))
      | sK3(sK3(X0)) = X0
      | proper_subset(sK3(sK3(X0)),X0) ),
    inference(duplicate_literal_removal,[],[f1117]) ).

fof(f1117,plain,
    ! [X0] :
      ( ~ ordinal(X0)
      | being_limit_ordinal(X0)
      | being_limit_ordinal(sK3(X0))
      | ~ ordinal(X0)
      | ~ ordinal(sK3(sK3(X0)))
      | sK3(sK3(X0)) = X0
      | proper_subset(sK3(sK3(X0)),X0) ),
    inference(resolution,[],[f1105,f420]) ).

fof(f1120,plain,
    ! [X0,X1] :
      ( ~ ordinal(X0)
      | being_limit_ordinal(X0)
      | being_limit_ordinal(sK3(X0))
      | element(X1,X0)
      | ~ in(X1,sK3(sK3(X0)))
      | ~ ordinal(sK3(sK3(X0))) ),
    inference(duplicate_literal_removal,[],[f1116]) ).

fof(f1116,plain,
    ! [X0,X1] :
      ( ~ ordinal(X0)
      | being_limit_ordinal(X0)
      | being_limit_ordinal(sK3(X0))
      | element(X1,X0)
      | ~ in(X1,sK3(sK3(X0)))
      | ~ ordinal(X0)
      | ~ ordinal(sK3(sK3(X0))) ),
    inference(resolution,[],[f1105,f436]) ).

fof(f1105,plain,
    ! [X0] :
      ( ordinal_subset(sK3(sK3(X0)),X0)
      | ~ ordinal(X0)
      | being_limit_ordinal(X0)
      | being_limit_ordinal(sK3(X0)) ),
    inference(subsumption_resolution,[],[f1104,f182]) ).

fof(f1104,plain,
    ! [X0] :
      ( ~ ordinal(X0)
      | ordinal_subset(sK3(sK3(X0)),X0)
      | being_limit_ordinal(X0)
      | ~ ordinal(sK3(X0))
      | being_limit_ordinal(sK3(X0)) ),
    inference(subsumption_resolution,[],[f1090,f182]) ).

fof(f1090,plain,
    ! [X0] :
      ( ~ ordinal(X0)
      | ordinal_subset(sK3(sK3(X0)),X0)
      | being_limit_ordinal(X0)
      | ~ ordinal(sK3(sK3(X0)))
      | ~ ordinal(sK3(X0))
      | being_limit_ordinal(sK3(X0)) ),
    inference(resolution,[],[f999,f335]) ).

fof(f1115,plain,
    ! [X0] :
      ( ~ ordinal(X0)
      | being_limit_ordinal(X0)
      | ~ being_limit_ordinal(sK3(X0))
      | sK3(X0) = X0
      | proper_subset(sK3(X0),X0) ),
    inference(subsumption_resolution,[],[f1112,f182]) ).

fof(f1112,plain,
    ! [X0] :
      ( ~ ordinal(X0)
      | being_limit_ordinal(X0)
      | ~ being_limit_ordinal(sK3(X0))
      | ~ ordinal(sK3(X0))
      | sK3(X0) = X0
      | proper_subset(sK3(X0),X0) ),
    inference(duplicate_literal_removal,[],[f1110]) ).

fof(f1110,plain,
    ! [X0] :
      ( ~ ordinal(X0)
      | being_limit_ordinal(X0)
      | ~ being_limit_ordinal(sK3(X0))
      | ~ ordinal(X0)
      | ~ ordinal(sK3(X0))
      | sK3(X0) = X0
      | proper_subset(sK3(X0),X0) ),
    inference(resolution,[],[f1101,f420]) ).

fof(f1101,plain,
    ! [X0] :
      ( ordinal_subset(sK3(X0),X0)
      | ~ ordinal(X0)
      | being_limit_ordinal(X0)
      | ~ being_limit_ordinal(sK3(X0)) ),
    inference(subsumption_resolution,[],[f1100,f182]) ).

fof(f1100,plain,
    ! [X0] :
      ( ~ ordinal(X0)
      | ordinal_subset(sK3(X0),X0)
      | being_limit_ordinal(X0)
      | ~ ordinal(sK3(X0))
      | ~ being_limit_ordinal(sK3(X0)) ),
    inference(duplicate_literal_removal,[],[f1081]) ).

fof(f1081,plain,
    ! [X0] :
      ( ~ ordinal(X0)
      | ordinal_subset(sK3(X0),X0)
      | being_limit_ordinal(X0)
      | ~ ordinal(sK3(X0))
      | ~ ordinal(sK3(X0))
      | ~ being_limit_ordinal(sK3(X0)) ),
    inference(resolution,[],[f999,f538]) ).

fof(f1097,plain,
    ! [X0] :
      ( ~ ordinal(X0)
      | ordinal_subset(sK4(sK4(powerset(sK3(X0)))),X0)
      | being_limit_ordinal(X0)
      | ~ ordinal(sK4(sK4(powerset(sK3(X0)))))
      | empty(sK4(powerset(sK3(X0)))) ),
    inference(resolution,[],[f999,f490]) ).

fof(f1096,plain,
    ! [X0,X1] :
      ( ~ ordinal(X0)
      | ordinal_subset(sK4(powerset(X1)),X0)
      | being_limit_ordinal(X0)
      | ~ ordinal(sK4(powerset(X1)))
      | ~ empty(X1) ),
    inference(resolution,[],[f999,f348]) ).

fof(f1095,plain,
    ! [X0,X1] :
      ( ~ ordinal(X0)
      | ordinal_subset(sK4(powerset(X1)),X0)
      | being_limit_ordinal(X0)
      | ~ ordinal(sK4(powerset(X1)))
      | element(sK3(X0),X1) ),
    inference(resolution,[],[f999,f427]) ).

fof(f1094,plain,
    ! [X0] :
      ( ~ ordinal(X0)
      | ordinal_subset(sK4(sK3(X0)),X0)
      | being_limit_ordinal(X0)
      | ~ ordinal(sK4(sK3(X0)))
      | empty(sK3(X0)) ),
    inference(resolution,[],[f999,f343]) ).

fof(f1108,plain,
    ! [X0,X1] :
      ( ~ ordinal(X0)
      | ordinal_subset(sK3(powerset(X1)),X0)
      | being_limit_ordinal(X0)
      | ~ empty(X1)
      | being_limit_ordinal(powerset(X1))
      | ~ ordinal(powerset(X1)) ),
    inference(subsumption_resolution,[],[f1093,f182]) ).

fof(f1093,plain,
    ! [X0,X1] :
      ( ~ ordinal(X0)
      | ordinal_subset(sK3(powerset(X1)),X0)
      | being_limit_ordinal(X0)
      | ~ ordinal(sK3(powerset(X1)))
      | ~ empty(X1)
      | being_limit_ordinal(powerset(X1))
      | ~ ordinal(powerset(X1)) ),
    inference(resolution,[],[f999,f390]) ).

fof(f1107,plain,
    ! [X0,X1] :
      ( ~ ordinal(X0)
      | ordinal_subset(sK3(powerset(X1)),X0)
      | being_limit_ordinal(X0)
      | element(sK3(X0),X1)
      | being_limit_ordinal(powerset(X1))
      | ~ ordinal(powerset(X1)) ),
    inference(subsumption_resolution,[],[f1092,f182]) ).

fof(f1092,plain,
    ! [X0,X1] :
      ( ~ ordinal(X0)
      | ordinal_subset(sK3(powerset(X1)),X0)
      | being_limit_ordinal(X0)
      | ~ ordinal(sK3(powerset(X1)))
      | element(sK3(X0),X1)
      | being_limit_ordinal(powerset(X1))
      | ~ ordinal(powerset(X1)) ),
    inference(resolution,[],[f999,f447]) ).

fof(f1106,plain,
    ! [X0] :
      ( ~ ordinal(X0)
      | ordinal_subset(sK3(succ(sK3(X0))),X0)
      | being_limit_ordinal(X0)
      | ~ ordinal(sK3(succ(sK3(X0))))
      | ~ being_limit_ordinal(sK3(succ(sK3(X0)))) ),
    inference(subsumption_resolution,[],[f1091,f182]) ).

fof(f1091,plain,
    ! [X0] :
      ( ~ ordinal(X0)
      | ordinal_subset(sK3(succ(sK3(X0))),X0)
      | being_limit_ordinal(X0)
      | ~ ordinal(sK3(succ(sK3(X0))))
      | ~ being_limit_ordinal(sK3(succ(sK3(X0))))
      | ~ ordinal(sK3(X0)) ),
    inference(resolution,[],[f999,f740]) ).

fof(f1089,plain,
    ! [X0,X1] :
      ( ~ ordinal(X0)
      | ordinal_subset(powerset(X1),X0)
      | being_limit_ordinal(X0)
      | ~ ordinal(powerset(X1))
      | subset(sK3(X0),X1) ),
    inference(resolution,[],[f999,f324]) ).

fof(f1088,plain,
    ! [X2,X0,X1] :
      ( ~ ordinal(X0)
      | ordinal_subset(powerset(X1),X0)
      | being_limit_ordinal(X0)
      | ~ ordinal(powerset(X1))
      | ~ in(X2,sK3(X0))
      | ~ empty(X1) ),
    inference(resolution,[],[f999,f350]) ).

fof(f1087,plain,
    ! [X2,X0,X1] :
      ( ~ ordinal(X0)
      | ordinal_subset(powerset(X1),X0)
      | being_limit_ordinal(X0)
      | ~ ordinal(powerset(X1))
      | ~ in(X2,sK3(X0))
      | element(X2,X1) ),
    inference(resolution,[],[f999,f429]) ).

fof(f1103,plain,
    ! [X0,X1] :
      ( ~ ordinal(X0)
      | ordinal_subset(succ(X1),X0)
      | being_limit_ordinal(X0)
      | ~ ordinal(X1)
      | ~ being_limit_ordinal(sK3(X0))
      | ~ in(X1,sK3(X0)) ),
    inference(subsumption_resolution,[],[f1102,f182]) ).

fof(f1102,plain,
    ! [X0,X1] :
      ( ~ ordinal(X0)
      | ordinal_subset(succ(X1),X0)
      | being_limit_ordinal(X0)
      | ~ ordinal(X1)
      | ~ being_limit_ordinal(sK3(X0))
      | ~ ordinal(sK3(X0))
      | ~ in(X1,sK3(X0)) ),
    inference(subsumption_resolution,[],[f1086,f180]) ).

fof(f1086,plain,
    ! [X0,X1] :
      ( ~ ordinal(X0)
      | ordinal_subset(succ(X1),X0)
      | being_limit_ordinal(X0)
      | ~ ordinal(succ(X1))
      | ~ ordinal(X1)
      | ~ being_limit_ordinal(sK3(X0))
      | ~ ordinal(sK3(X0))
      | ~ in(X1,sK3(X0)) ),
    inference(resolution,[],[f999,f526]) ).

fof(f1099,plain,
    ! [X2,X0,X1] :
      ( ~ ordinal(X0)
      | ordinal_subset(X1,X0)
      | being_limit_ordinal(X0)
      | ~ ordinal(X1)
      | element(sK3(X0),X2)
      | ~ ordinal(X2)
      | ordinal_subset(X2,X1) ),
    inference(duplicate_literal_removal,[],[f1082]) ).

fof(f1082,plain,
    ! [X2,X0,X1] :
      ( ~ ordinal(X0)
      | ordinal_subset(X1,X0)
      | being_limit_ordinal(X0)
      | ~ ordinal(X1)
      | element(sK3(X0),X2)
      | ~ ordinal(X2)
      | ~ ordinal(X1)
      | ordinal_subset(X2,X1) ),
    inference(resolution,[],[f999,f837]) ).

fof(f999,plain,
    ! [X0,X1] :
      ( in(sK3(X1),X0)
      | ~ ordinal(X1)
      | ordinal_subset(X0,X1)
      | being_limit_ordinal(X1)
      | ~ ordinal(X0) ),
    inference(subsumption_resolution,[],[f998,f476]) ).

fof(f998,plain,
    ! [X0,X1] :
      ( ~ ordinal(X0)
      | ~ ordinal(X1)
      | ordinal_subset(X0,X1)
      | being_limit_ordinal(X1)
      | empty(X0)
      | in(sK3(X1),X0) ),
    inference(resolution,[],[f918,f204]) ).

fof(f1072,plain,
    ! [X0] :
      ( ~ ordinal(X0)
      | ordinal_subset(sK4(sK4(powerset(sK4(X0)))),X0)
      | empty(X0)
      | ~ ordinal(sK4(sK4(powerset(sK4(X0)))))
      | empty(sK4(powerset(sK4(X0)))) ),
    inference(resolution,[],[f994,f490]) ).

fof(f1071,plain,
    ! [X0,X1] :
      ( ~ ordinal(X0)
      | ordinal_subset(sK4(powerset(X1)),X0)
      | empty(X0)
      | ~ ordinal(sK4(powerset(X1)))
      | ~ empty(X1) ),
    inference(resolution,[],[f994,f348]) ).

fof(f1070,plain,
    ! [X0,X1] :
      ( ~ ordinal(X0)
      | ordinal_subset(sK4(powerset(X1)),X0)
      | empty(X0)
      | ~ ordinal(sK4(powerset(X1)))
      | element(sK4(X0),X1) ),
    inference(resolution,[],[f994,f427]) ).

fof(f1069,plain,
    ! [X0] :
      ( ~ ordinal(X0)
      | ordinal_subset(sK4(sK4(X0)),X0)
      | empty(X0)
      | ~ ordinal(sK4(sK4(X0)))
      | empty(sK4(X0)) ),
    inference(resolution,[],[f994,f343]) ).

fof(f1080,plain,
    ! [X0,X1] :
      ( ~ ordinal(X0)
      | ordinal_subset(sK3(powerset(X1)),X0)
      | empty(X0)
      | ~ empty(X1)
      | being_limit_ordinal(powerset(X1))
      | ~ ordinal(powerset(X1)) ),
    inference(subsumption_resolution,[],[f1068,f182]) ).

fof(f1068,plain,
    ! [X0,X1] :
      ( ~ ordinal(X0)
      | ordinal_subset(sK3(powerset(X1)),X0)
      | empty(X0)
      | ~ ordinal(sK3(powerset(X1)))
      | ~ empty(X1)
      | being_limit_ordinal(powerset(X1))
      | ~ ordinal(powerset(X1)) ),
    inference(resolution,[],[f994,f390]) ).

fof(f1079,plain,
    ! [X0,X1] :
      ( ~ ordinal(X0)
      | ordinal_subset(sK3(powerset(X1)),X0)
      | empty(X0)
      | element(sK4(X0),X1)
      | being_limit_ordinal(powerset(X1))
      | ~ ordinal(powerset(X1)) ),
    inference(subsumption_resolution,[],[f1067,f182]) ).

fof(f1067,plain,
    ! [X0,X1] :
      ( ~ ordinal(X0)
      | ordinal_subset(sK3(powerset(X1)),X0)
      | empty(X0)
      | ~ ordinal(sK3(powerset(X1)))
      | element(sK4(X0),X1)
      | being_limit_ordinal(powerset(X1))
      | ~ ordinal(powerset(X1)) ),
    inference(resolution,[],[f994,f447]) ).

fof(f1066,plain,
    ! [X0] :
      ( ~ ordinal(X0)
      | ordinal_subset(sK3(succ(sK4(X0))),X0)
      | empty(X0)
      | ~ ordinal(sK3(succ(sK4(X0))))
      | ~ being_limit_ordinal(sK3(succ(sK4(X0))))
      | ~ ordinal(sK4(X0)) ),
    inference(resolution,[],[f994,f740]) ).

fof(f1078,plain,
    ! [X0] :
      ( ~ ordinal(X0)
      | ordinal_subset(sK3(sK4(X0)),X0)
      | empty(X0)
      | ~ ordinal(sK4(X0))
      | being_limit_ordinal(sK4(X0)) ),
    inference(subsumption_resolution,[],[f1065,f182]) ).

fof(f1065,plain,
    ! [X0] :
      ( ~ ordinal(X0)
      | ordinal_subset(sK3(sK4(X0)),X0)
      | empty(X0)
      | ~ ordinal(sK3(sK4(X0)))
      | ~ ordinal(sK4(X0))
      | being_limit_ordinal(sK4(X0)) ),
    inference(resolution,[],[f994,f335]) ).

fof(f1064,plain,
    ! [X0,X1] :
      ( ~ ordinal(X0)
      | ordinal_subset(powerset(X1),X0)
      | empty(X0)
      | ~ ordinal(powerset(X1))
      | subset(sK4(X0),X1) ),
    inference(resolution,[],[f994,f324]) ).

fof(f1063,plain,
    ! [X2,X0,X1] :
      ( ~ ordinal(X0)
      | ordinal_subset(powerset(X1),X0)
      | empty(X0)
      | ~ ordinal(powerset(X1))
      | ~ in(X2,sK4(X0))
      | ~ empty(X1) ),
    inference(resolution,[],[f994,f350]) ).

fof(f1062,plain,
    ! [X2,X0,X1] :
      ( ~ ordinal(X0)
      | ordinal_subset(powerset(X1),X0)
      | empty(X0)
      | ~ ordinal(powerset(X1))
      | ~ in(X2,sK4(X0))
      | element(X2,X1) ),
    inference(resolution,[],[f994,f429]) ).

fof(f1077,plain,
    ! [X0,X1] :
      ( ~ ordinal(X0)
      | ordinal_subset(succ(X1),X0)
      | empty(X0)
      | ~ ordinal(X1)
      | ~ being_limit_ordinal(sK4(X0))
      | ~ ordinal(sK4(X0))
      | ~ in(X1,sK4(X0)) ),
    inference(subsumption_resolution,[],[f1061,f180]) ).

fof(f1061,plain,
    ! [X0,X1] :
      ( ~ ordinal(X0)
      | ordinal_subset(succ(X1),X0)
      | empty(X0)
      | ~ ordinal(succ(X1))
      | ~ ordinal(X1)
      | ~ being_limit_ordinal(sK4(X0))
      | ~ ordinal(sK4(X0))
      | ~ in(X1,sK4(X0)) ),
    inference(resolution,[],[f994,f526]) ).

fof(f1075,plain,
    ! [X2,X0,X1] :
      ( ~ ordinal(X0)
      | ordinal_subset(X1,X0)
      | empty(X0)
      | ~ ordinal(X1)
      | element(sK4(X0),X2)
      | ~ ordinal(X2)
      | ordinal_subset(X2,X1) ),
    inference(duplicate_literal_removal,[],[f1057]) ).

fof(f1057,plain,
    ! [X2,X0,X1] :
      ( ~ ordinal(X0)
      | ordinal_subset(X1,X0)
      | empty(X0)
      | ~ ordinal(X1)
      | element(sK4(X0),X2)
      | ~ ordinal(X2)
      | ~ ordinal(X1)
      | ordinal_subset(X2,X1) ),
    inference(resolution,[],[f994,f837]) ).

fof(f994,plain,
    ! [X0,X1] :
      ( in(sK4(X1),X0)
      | ~ ordinal(X1)
      | ordinal_subset(X0,X1)
      | empty(X1)
      | ~ ordinal(X0) ),
    inference(subsumption_resolution,[],[f992,f475]) ).

fof(f992,plain,
    ! [X0,X1] :
      ( ~ ordinal(X0)
      | ~ ordinal(X1)
      | ordinal_subset(X0,X1)
      | empty(X1)
      | empty(X0)
      | in(sK4(X1),X0) ),
    inference(resolution,[],[f916,f204]) ).

fof(f933,plain,
    ! [X0,X1] :
      ( element(X1,succ(X0))
      | ~ ordinal(succ(X1))
      | in(X0,succ(X1))
      | ~ ordinal(X0) ),
    inference(subsumption_resolution,[],[f929,f180]) ).

fof(f929,plain,
    ! [X0,X1] :
      ( ~ ordinal(succ(X0))
      | ~ ordinal(succ(X1))
      | element(X1,succ(X0))
      | in(X0,succ(X1))
      | ~ ordinal(X0) ),
    inference(duplicate_literal_removal,[],[f928]) ).

fof(f928,plain,
    ! [X0,X1] :
      ( ~ ordinal(succ(X0))
      | ~ ordinal(succ(X1))
      | element(X1,succ(X0))
      | in(X0,succ(X1))
      | ~ ordinal(succ(X1))
      | ~ ordinal(X0) ),
    inference(resolution,[],[f906,f186]) ).

fof(f1040,plain,
    ! [X0,X1] :
      ( sK4(powerset(sK4(powerset(sK4(powerset(X0)))))) = sK4(powerset(sK4(powerset(X1))))
      | ~ empty(X1)
      | ~ empty(X0) ),
    inference(resolution,[],[f500,f496]) ).

fof(f1039,plain,
    ! [X0,X1] :
      ( sK4(powerset(sK4(powerset(X0)))) = sK4(powerset(sK4(powerset(X1))))
      | ~ empty(X1)
      | ~ empty(X0) ),
    inference(resolution,[],[f500,f352]) ).

fof(f1038,plain,
    ! [X2,X0,X1] :
      ( sK4(powerset(sK4(powerset(X0)))) = sK4(powerset(sK4(powerset(X1))))
      | ~ empty(X1)
      | ordinal_subset(X2,X0)
      | ~ empty(X2)
      | ~ ordinal(X0) ),
    inference(resolution,[],[f500,f489]) ).

fof(f1037,plain,
    ! [X0,X1] :
      ( sK4(powerset(sK4(powerset(X1)))) = sK4(powerset(sK3(powerset(X0))))
      | ~ empty(X1)
      | being_limit_ordinal(powerset(X0))
      | ~ ordinal(powerset(X0))
      | ~ empty(X0) ),
    inference(resolution,[],[f500,f787]) ).

fof(f500,plain,
    ! [X0,X1] :
      ( ~ empty(X1)
      | sK4(powerset(X1)) = sK4(powerset(sK4(powerset(X0))))
      | ~ empty(X0) ),
    inference(resolution,[],[f496,f353]) ).

fof(f1012,plain,
    ! [X0] :
      ( empty_set = sK4(powerset(sK4(powerset(sK4(powerset(sK4(powerset(sK4(powerset(sK4(powerset(X0))))))))))))
      | ~ empty(X0) ),
    inference(resolution,[],[f499,f496]) ).

fof(f1011,plain,
    ! [X0] :
      ( empty_set = sK4(powerset(sK4(powerset(sK4(powerset(sK4(powerset(sK4(powerset(X0))))))))))
      | ~ empty(X0) ),
    inference(resolution,[],[f499,f352]) ).

fof(f1010,plain,
    ! [X0,X1] :
      ( empty_set = sK4(powerset(sK4(powerset(sK4(powerset(sK4(powerset(sK4(powerset(X0))))))))))
      | ordinal_subset(X1,X0)
      | ~ empty(X1)
      | ~ ordinal(X0) ),
    inference(resolution,[],[f499,f489]) ).

fof(f1009,plain,
    ! [X0] :
      ( empty_set = sK4(powerset(sK4(powerset(sK4(powerset(sK4(powerset(sK3(powerset(X0))))))))))
      | being_limit_ordinal(powerset(X0))
      | ~ ordinal(powerset(X0))
      | ~ empty(X0) ),
    inference(resolution,[],[f499,f787]) ).

fof(f499,plain,
    ! [X0] :
      ( ~ empty(X0)
      | empty_set = sK4(powerset(sK4(powerset(sK4(powerset(sK4(powerset(X0)))))))) ),
    inference(resolution,[],[f496,f356]) ).

fof(f1004,plain,
    ! [X0] :
      ( sK4(powerset(X0)) = X0
      | ~ ordinal(sK4(powerset(X0)))
      | ~ ordinal(X0)
      | in(sK4(powerset(X0)),X0) ),
    inference(duplicate_literal_removal,[],[f1003]) ).

fof(f1003,plain,
    ! [X0] :
      ( sK4(powerset(X0)) = X0
      | ~ ordinal(sK4(powerset(X0)))
      | ~ ordinal(X0)
      | in(sK4(powerset(X0)),X0)
      | sK4(powerset(X0)) = X0 ),
    inference(resolution,[],[f950,f450]) ).

fof(f950,plain,
    ! [X0,X1] :
      ( proper_subset(X0,X1)
      | X0 = X1
      | ~ ordinal(X1)
      | ~ ordinal(X0)
      | in(X1,X0) ),
    inference(subsumption_resolution,[],[f948,f175]) ).

fof(f948,plain,
    ! [X0,X1] :
      ( proper_subset(X0,X1)
      | X0 = X1
      | ~ ordinal(X1)
      | ~ ordinal(X0)
      | in(X1,X0)
      | ~ epsilon_transitive(X1) ),
    inference(duplicate_literal_removal,[],[f935]) ).

fof(f935,plain,
    ! [X0,X1] :
      ( proper_subset(X0,X1)
      | X0 = X1
      | ~ ordinal(X1)
      | ~ ordinal(X0)
      | in(X1,X0)
      | ~ ordinal(X0)
      | ~ epsilon_transitive(X1) ),
    inference(resolution,[],[f852,f174]) ).

fof(f997,plain,
    ! [X0,X1] :
      ( ~ ordinal(powerset(X0))
      | ~ ordinal(X1)
      | ordinal_subset(powerset(X0),X1)
      | being_limit_ordinal(X1)
      | subset(sK3(X1),X0) ),
    inference(resolution,[],[f918,f213]) ).

fof(f996,plain,
    ! [X2,X0,X1] :
      ( ~ ordinal(powerset(X0))
      | ~ ordinal(X1)
      | ordinal_subset(powerset(X0),X1)
      | being_limit_ordinal(X1)
      | ~ empty(X0)
      | ~ in(X2,sK3(X1)) ),
    inference(resolution,[],[f918,f218]) ).

fof(f995,plain,
    ! [X2,X0,X1] :
      ( ~ ordinal(powerset(X0))
      | ~ ordinal(X1)
      | ordinal_subset(powerset(X0),X1)
      | being_limit_ordinal(X1)
      | element(X2,X0)
      | ~ in(X2,sK3(X1)) ),
    inference(resolution,[],[f918,f217]) ).

fof(f918,plain,
    ! [X0,X1] :
      ( element(sK3(X0),X1)
      | ~ ordinal(X1)
      | ~ ordinal(X0)
      | ordinal_subset(X1,X0)
      | being_limit_ordinal(X0) ),
    inference(duplicate_literal_removal,[],[f915]) ).

fof(f915,plain,
    ! [X0,X1] :
      ( element(sK3(X0),X1)
      | ~ ordinal(X1)
      | ~ ordinal(X0)
      | ordinal_subset(X1,X0)
      | being_limit_ordinal(X0)
      | ~ ordinal(X0) ),
    inference(resolution,[],[f837,f183]) ).

fof(f991,plain,
    ! [X0,X1] :
      ( ~ ordinal(powerset(X0))
      | ~ ordinal(X1)
      | ordinal_subset(powerset(X0),X1)
      | empty(X1)
      | subset(sK4(X1),X0) ),
    inference(resolution,[],[f916,f213]) ).

fof(f990,plain,
    ! [X2,X0,X1] :
      ( ~ ordinal(powerset(X0))
      | ~ ordinal(X1)
      | ordinal_subset(powerset(X0),X1)
      | empty(X1)
      | ~ empty(X0)
      | ~ in(X2,sK4(X1)) ),
    inference(resolution,[],[f916,f218]) ).

fof(f989,plain,
    ! [X2,X0,X1] :
      ( ~ ordinal(powerset(X0))
      | ~ ordinal(X1)
      | ordinal_subset(powerset(X0),X1)
      | empty(X1)
      | element(X2,X0)
      | ~ in(X2,sK4(X1)) ),
    inference(resolution,[],[f916,f217]) ).

fof(f916,plain,
    ! [X0,X1] :
      ( element(sK4(X0),X1)
      | ~ ordinal(X1)
      | ~ ordinal(X0)
      | ordinal_subset(X1,X0)
      | empty(X0) ),
    inference(resolution,[],[f837,f340]) ).

fof(f977,plain,
    ! [X0,X1] :
      ( ~ ordinal(X0)
      | ~ in(powerset(X1),X0)
      | ~ ordinal(powerset(X1))
      | ~ being_limit_ordinal(X0)
      | empty(powerset(X1))
      | ~ subset(succ(X0),X1) ),
    inference(resolution,[],[f891,f342]) ).

fof(f988,plain,
    ! [X0] :
      ( ~ ordinal(X0)
      | ~ in(succ(succ(succ(succ(X0)))),X0)
      | ~ being_limit_ordinal(X0)
      | ~ ordinal(succ(succ(succ(X0)))) ),
    inference(subsumption_resolution,[],[f987,f180]) ).

fof(f987,plain,
    ! [X0] :
      ( ~ ordinal(X0)
      | ~ in(succ(succ(succ(succ(X0)))),X0)
      | ~ being_limit_ordinal(X0)
      | ~ ordinal(succ(succ(succ(X0))))
      | ~ ordinal(succ(X0)) ),
    inference(subsumption_resolution,[],[f976,f180]) ).

fof(f976,plain,
    ! [X0] :
      ( ~ ordinal(X0)
      | ~ in(succ(succ(succ(succ(X0)))),X0)
      | ~ ordinal(succ(succ(succ(succ(X0)))))
      | ~ being_limit_ordinal(X0)
      | ~ ordinal(succ(succ(succ(X0))))
      | ~ ordinal(succ(X0)) ),
    inference(resolution,[],[f891,f684]) ).

fof(f986,plain,
    ! [X0,X1] :
      ( ~ ordinal(X0)
      | ~ in(succ(X1),X0)
      | ~ being_limit_ordinal(X0)
      | in(X1,succ(succ(X0)))
      | ~ ordinal(X1) ),
    inference(subsumption_resolution,[],[f985,f180]) ).

fof(f985,plain,
    ! [X0,X1] :
      ( ~ ordinal(X0)
      | ~ in(succ(X1),X0)
      | ~ being_limit_ordinal(X0)
      | in(X1,succ(succ(X0)))
      | ~ ordinal(succ(X0))
      | ~ ordinal(X1) ),
    inference(subsumption_resolution,[],[f975,f180]) ).

fof(f975,plain,
    ! [X0,X1] :
      ( ~ ordinal(X0)
      | ~ in(succ(X1),X0)
      | ~ ordinal(succ(X1))
      | ~ being_limit_ordinal(X0)
      | in(X1,succ(succ(X0)))
      | ~ ordinal(succ(X0))
      | ~ ordinal(X1) ),
    inference(resolution,[],[f891,f552]) ).

fof(f984,plain,
    ! [X0,X1] :
      ( ~ ordinal(X0)
      | ~ in(succ(X1),X0)
      | ~ being_limit_ordinal(X0)
      | in(X1,succ(succ(X0)))
      | ~ ordinal(X1) ),
    inference(subsumption_resolution,[],[f983,f180]) ).

fof(f983,plain,
    ! [X0,X1] :
      ( ~ ordinal(X0)
      | ~ in(succ(X1),X0)
      | ~ being_limit_ordinal(X0)
      | in(X1,succ(succ(X0)))
      | ~ ordinal(X1)
      | ~ ordinal(succ(X0)) ),
    inference(subsumption_resolution,[],[f974,f180]) ).

fof(f974,plain,
    ! [X0,X1] :
      ( ~ ordinal(X0)
      | ~ in(succ(X1),X0)
      | ~ ordinal(succ(X1))
      | ~ being_limit_ordinal(X0)
      | in(X1,succ(succ(X0)))
      | ~ ordinal(X1)
      | ~ ordinal(succ(X0)) ),
    inference(resolution,[],[f891,f552]) ).

fof(f982,plain,
    ! [X0,X1] :
      ( ~ ordinal(X0)
      | ~ in(succ(X1),X0)
      | ~ being_limit_ordinal(X0)
      | ~ being_limit_ordinal(X1)
      | ~ ordinal(X1)
      | ~ in(succ(X0),X1) ),
    inference(subsumption_resolution,[],[f981,f180]) ).

fof(f981,plain,
    ! [X0,X1] :
      ( ~ ordinal(X0)
      | ~ in(succ(X1),X0)
      | ~ being_limit_ordinal(X0)
      | ~ being_limit_ordinal(X1)
      | ~ ordinal(X1)
      | ~ in(succ(X0),X1)
      | ~ ordinal(succ(X0)) ),
    inference(subsumption_resolution,[],[f973,f180]) ).

fof(f973,plain,
    ! [X0,X1] :
      ( ~ ordinal(X0)
      | ~ in(succ(X1),X0)
      | ~ ordinal(succ(X1))
      | ~ being_limit_ordinal(X0)
      | ~ being_limit_ordinal(X1)
      | ~ ordinal(X1)
      | ~ in(succ(X0),X1)
      | ~ ordinal(succ(X0)) ),
    inference(resolution,[],[f891,f735]) ).

fof(f891,plain,
    ! [X0,X1] :
      ( ~ in(succ(X0),X1)
      | ~ ordinal(X0)
      | ~ in(X1,X0)
      | ~ ordinal(X1)
      | ~ being_limit_ordinal(X0) ),
    inference(resolution,[],[f735,f205]) ).

fof(f811,plain,
    ! [X0] :
      ( being_limit_ordinal(powerset(X0))
      | ~ ordinal(powerset(X0))
      | ~ empty(X0)
      | empty_set = sK3(powerset(X0)) ),
    inference(resolution,[],[f787,f189]) ).

fof(f964,plain,
    ! [X0] :
      ( ~ being_limit_ordinal(powerset(X0))
      | ~ ordinal(powerset(X0))
      | ~ ordinal(succ(succ(powerset(X0))))
      | empty(powerset(X0))
      | ~ subset(succ(succ(powerset(X0))),X0) ),
    inference(resolution,[],[f734,f342]) ).

fof(f734,plain,
    ! [X0] :
      ( ~ in(succ(succ(X0)),X0)
      | ~ being_limit_ordinal(X0)
      | ~ ordinal(X0)
      | ~ ordinal(succ(succ(X0))) ),
    inference(duplicate_literal_removal,[],[f728]) ).

fof(f728,plain,
    ! [X0] :
      ( ~ ordinal(succ(succ(X0)))
      | ~ being_limit_ordinal(X0)
      | ~ ordinal(X0)
      | ~ in(succ(succ(X0)),X0)
      | ~ ordinal(succ(succ(X0)))
      | ~ ordinal(X0) ),
    inference(resolution,[],[f526,f684]) ).

fof(f956,plain,
    ! [X0] :
      ( element(sK4(sK4(powerset(sK3(powerset(X0))))),X0)
      | being_limit_ordinal(powerset(X0))
      | ~ ordinal(powerset(X0))
      | empty(sK4(powerset(sK3(powerset(X0))))) ),
    inference(resolution,[],[f447,f466]) ).

fof(f955,plain,
    ! [X0] :
      ( element(sK4(sK3(powerset(X0))),X0)
      | being_limit_ordinal(powerset(X0))
      | ~ ordinal(powerset(X0))
      | empty(sK3(powerset(X0))) ),
    inference(resolution,[],[f447,f340]) ).

fof(f959,plain,
    ! [X0] :
      ( element(sK3(sK3(powerset(X0))),X0)
      | being_limit_ordinal(powerset(X0))
      | ~ ordinal(powerset(X0))
      | being_limit_ordinal(sK3(powerset(X0))) ),
    inference(subsumption_resolution,[],[f954,f182]) ).

fof(f954,plain,
    ! [X0] :
      ( element(sK3(sK3(powerset(X0))),X0)
      | being_limit_ordinal(powerset(X0))
      | ~ ordinal(powerset(X0))
      | being_limit_ordinal(sK3(powerset(X0)))
      | ~ ordinal(sK3(powerset(X0))) ),
    inference(resolution,[],[f447,f183]) ).

fof(f958,plain,
    ! [X0,X1] :
      ( element(succ(X0),X1)
      | being_limit_ordinal(powerset(X1))
      | ~ ordinal(powerset(X1))
      | ~ in(X0,sK3(powerset(X1)))
      | ~ ordinal(X0)
      | ~ being_limit_ordinal(sK3(powerset(X1))) ),
    inference(subsumption_resolution,[],[f953,f182]) ).

fof(f953,plain,
    ! [X0,X1] :
      ( element(succ(X0),X1)
      | being_limit_ordinal(powerset(X1))
      | ~ ordinal(powerset(X1))
      | ~ in(X0,sK3(powerset(X1)))
      | ~ ordinal(X0)
      | ~ being_limit_ordinal(sK3(powerset(X1)))
      | ~ ordinal(sK3(powerset(X1))) ),
    inference(resolution,[],[f447,f181]) ).

fof(f957,plain,
    ! [X0,X1] :
      ( element(X0,X1)
      | being_limit_ordinal(powerset(X1))
      | ~ ordinal(powerset(X1))
      | ~ empty(X0)
      | sK3(powerset(X1)) = X0 ),
    inference(subsumption_resolution,[],[f952,f182]) ).

fof(f952,plain,
    ! [X0,X1] :
      ( element(X0,X1)
      | being_limit_ordinal(powerset(X1))
      | ~ ordinal(powerset(X1))
      | ~ ordinal(sK3(powerset(X1)))
      | ~ empty(X0)
      | sK3(powerset(X1)) = X0 ),
    inference(resolution,[],[f447,f653]) ).

fof(f447,plain,
    ! [X0,X1] :
      ( ~ in(X0,sK3(powerset(X1)))
      | element(X0,X1)
      | being_limit_ordinal(powerset(X1))
      | ~ ordinal(powerset(X1)) ),
    inference(resolution,[],[f429,f183]) ).

fof(f951,plain,
    ! [X0,X1] :
      ( proper_subset(X0,X1)
      | X0 = X1
      | ~ ordinal(X0)
      | ~ ordinal(X1)
      | in(X1,X0) ),
    inference(subsumption_resolution,[],[f945,f175]) ).

fof(f945,plain,
    ! [X0,X1] :
      ( proper_subset(X0,X1)
      | X0 = X1
      | ~ ordinal(X0)
      | ~ ordinal(X1)
      | in(X1,X0)
      | ~ epsilon_transitive(X1) ),
    inference(duplicate_literal_removal,[],[f939]) ).

fof(f939,plain,
    ! [X0,X1] :
      ( proper_subset(X0,X1)
      | X0 = X1
      | ~ ordinal(X0)
      | ~ ordinal(X1)
      | in(X1,X0)
      | ~ ordinal(X0)
      | ~ epsilon_transitive(X1) ),
    inference(resolution,[],[f852,f174]) ).

fof(f852,plain,
    ! [X0,X1] :
      ( proper_subset(X1,X0)
      | proper_subset(X0,X1)
      | X0 = X1
      | ~ ordinal(X1)
      | ~ ordinal(X0) ),
    inference(duplicate_literal_removal,[],[f847]) ).

fof(f847,plain,
    ! [X0,X1] :
      ( ~ ordinal(X0)
      | X0 = X1
      | proper_subset(X0,X1)
      | ~ ordinal(X1)
      | ~ ordinal(X0)
      | ~ ordinal(X1)
      | X0 = X1
      | proper_subset(X1,X0) ),
    inference(resolution,[],[f635,f420]) ).

fof(f931,plain,
    ! [X0,X1] :
      ( ~ ordinal(X0)
      | ~ ordinal(succ(X1))
      | element(X1,X0)
      | succ(X1) = X0
      | proper_subset(X0,succ(X1)) ),
    inference(duplicate_literal_removal,[],[f926]) ).

fof(f926,plain,
    ! [X0,X1] :
      ( ~ ordinal(X0)
      | ~ ordinal(succ(X1))
      | element(X1,X0)
      | ~ ordinal(succ(X1))
      | ~ ordinal(X0)
      | succ(X1) = X0
      | proper_subset(X0,succ(X1)) ),
    inference(resolution,[],[f906,f420]) ).

fof(f932,plain,
    ! [X2,X0,X1] :
      ( ~ ordinal(X0)
      | ~ ordinal(succ(X1))
      | element(X1,X0)
      | element(X2,succ(X1))
      | ~ in(X2,X0) ),
    inference(duplicate_literal_removal,[],[f925]) ).

fof(f925,plain,
    ! [X2,X0,X1] :
      ( ~ ordinal(X0)
      | ~ ordinal(succ(X1))
      | element(X1,X0)
      | element(X2,succ(X1))
      | ~ in(X2,X0)
      | ~ ordinal(succ(X1))
      | ~ ordinal(X0) ),
    inference(resolution,[],[f906,f436]) ).

fof(f906,plain,
    ! [X0,X1] :
      ( ordinal_subset(X1,succ(X0))
      | ~ ordinal(X1)
      | ~ ordinal(succ(X0))
      | element(X0,X1) ),
    inference(resolution,[],[f837,f171]) ).

fof(f917,plain,
    ! [X0,X1] :
      ( element(sK4(sK4(powerset(X0))),X1)
      | ~ ordinal(X1)
      | ~ ordinal(X0)
      | ordinal_subset(X1,X0)
      | empty(sK4(powerset(X0))) ),
    inference(resolution,[],[f837,f466]) ).

fof(f919,plain,
    ! [X2,X0,X1] :
      ( element(succ(X0),X1)
      | ~ ordinal(X1)
      | ~ ordinal(X2)
      | ordinal_subset(X1,X2)
      | ~ in(X0,X2)
      | ~ ordinal(X0)
      | ~ being_limit_ordinal(X2) ),
    inference(duplicate_literal_removal,[],[f913]) ).

fof(f913,plain,
    ! [X2,X0,X1] :
      ( element(succ(X0),X1)
      | ~ ordinal(X1)
      | ~ ordinal(X2)
      | ordinal_subset(X1,X2)
      | ~ in(X0,X2)
      | ~ ordinal(X0)
      | ~ being_limit_ordinal(X2)
      | ~ ordinal(X2) ),
    inference(resolution,[],[f837,f181]) ).

fof(f920,plain,
    ! [X2,X0,X1] :
      ( element(X0,X1)
      | ~ ordinal(X1)
      | ~ ordinal(X2)
      | ordinal_subset(X1,X2)
      | ~ empty(X0)
      | X0 = X2 ),
    inference(duplicate_literal_removal,[],[f912]) ).

fof(f912,plain,
    ! [X2,X0,X1] :
      ( element(X0,X1)
      | ~ ordinal(X1)
      | ~ ordinal(X2)
      | ordinal_subset(X1,X2)
      | ~ ordinal(X2)
      | ~ empty(X0)
      | X0 = X2 ),
    inference(resolution,[],[f837,f653]) ).

fof(f911,plain,
    ! [X2,X0,X1] :
      ( element(X0,X1)
      | ~ ordinal(X1)
      | ~ ordinal(powerset(X2))
      | ordinal_subset(X1,powerset(X2))
      | empty(powerset(X2))
      | ~ subset(X0,X2) ),
    inference(resolution,[],[f837,f342]) ).

fof(f924,plain,
    ! [X0,X1] :
      ( element(X0,X1)
      | ~ ordinal(X1)
      | ordinal_subset(X1,succ(succ(succ(X0))))
      | ~ ordinal(succ(succ(X0)))
      | ~ ordinal(X0) ),
    inference(subsumption_resolution,[],[f910,f180]) ).

fof(f910,plain,
    ! [X0,X1] :
      ( element(X0,X1)
      | ~ ordinal(X1)
      | ~ ordinal(succ(succ(succ(X0))))
      | ordinal_subset(X1,succ(succ(succ(X0))))
      | ~ ordinal(succ(succ(X0)))
      | ~ ordinal(X0) ),
    inference(resolution,[],[f837,f684]) ).

fof(f923,plain,
    ! [X2,X0,X1] :
      ( element(X0,X1)
      | ~ ordinal(X1)
      | ordinal_subset(X1,succ(X2))
      | in(X2,succ(X0))
      | ~ ordinal(X0)
      | ~ ordinal(X2) ),
    inference(subsumption_resolution,[],[f909,f180]) ).

fof(f909,plain,
    ! [X2,X0,X1] :
      ( element(X0,X1)
      | ~ ordinal(X1)
      | ~ ordinal(succ(X2))
      | ordinal_subset(X1,succ(X2))
      | in(X2,succ(X0))
      | ~ ordinal(X0)
      | ~ ordinal(X2) ),
    inference(resolution,[],[f837,f552]) ).

fof(f922,plain,
    ! [X2,X0,X1] :
      ( element(X0,X1)
      | ~ ordinal(X1)
      | ordinal_subset(X1,succ(X2))
      | in(X2,succ(X0))
      | ~ ordinal(X2)
      | ~ ordinal(X0) ),
    inference(subsumption_resolution,[],[f908,f180]) ).

fof(f908,plain,
    ! [X2,X0,X1] :
      ( element(X0,X1)
      | ~ ordinal(X1)
      | ~ ordinal(succ(X2))
      | ordinal_subset(X1,succ(X2))
      | in(X2,succ(X0))
      | ~ ordinal(X2)
      | ~ ordinal(X0) ),
    inference(resolution,[],[f837,f552]) ).

fof(f921,plain,
    ! [X2,X0,X1] :
      ( element(X0,X1)
      | ~ ordinal(X1)
      | ordinal_subset(X1,succ(X2))
      | ~ being_limit_ordinal(X2)
      | ~ ordinal(X2)
      | ~ in(X0,X2)
      | ~ ordinal(X0) ),
    inference(subsumption_resolution,[],[f907,f180]) ).

fof(f907,plain,
    ! [X2,X0,X1] :
      ( element(X0,X1)
      | ~ ordinal(X1)
      | ~ ordinal(succ(X2))
      | ordinal_subset(X1,succ(X2))
      | ~ being_limit_ordinal(X2)
      | ~ ordinal(X2)
      | ~ in(X0,X2)
      | ~ ordinal(X0) ),
    inference(resolution,[],[f837,f735]) ).

fof(f837,plain,
    ! [X2,X0,X1] :
      ( ~ in(X0,X2)
      | element(X0,X1)
      | ~ ordinal(X1)
      | ~ ordinal(X2)
      | ordinal_subset(X1,X2) ),
    inference(duplicate_literal_removal,[],[f825]) ).

fof(f825,plain,
    ! [X2,X0,X1] :
      ( element(X0,X1)
      | ~ in(X0,X2)
      | ~ ordinal(X1)
      | ~ ordinal(X2)
      | ordinal_subset(X1,X2)
      | ~ ordinal(X2)
      | ~ ordinal(X1) ),
    inference(resolution,[],[f436,f208]) ).

fof(f897,plain,
    ! [X0,X1] :
      ( ~ being_limit_ordinal(X0)
      | ~ ordinal(X0)
      | ~ in(powerset(X1),X0)
      | ~ ordinal(powerset(X1))
      | ~ subset(succ(X0),X1)
      | empty(powerset(X1)) ),
    inference(resolution,[],[f735,f439]) ).

fof(f905,plain,
    ! [X0,X1] :
      ( ~ being_limit_ordinal(X0)
      | ~ ordinal(X0)
      | ~ in(succ(X1),X0)
      | ~ ordinal(X1)
      | in(X1,succ(succ(X0))) ),
    inference(subsumption_resolution,[],[f904,f180]) ).

fof(f904,plain,
    ! [X0,X1] :
      ( ~ being_limit_ordinal(X0)
      | ~ ordinal(X0)
      | ~ in(succ(X1),X0)
      | ~ ordinal(succ(X0))
      | ~ ordinal(X1)
      | in(X1,succ(succ(X0))) ),
    inference(subsumption_resolution,[],[f896,f180]) ).

fof(f896,plain,
    ! [X0,X1] :
      ( ~ being_limit_ordinal(X0)
      | ~ ordinal(X0)
      | ~ in(succ(X1),X0)
      | ~ ordinal(succ(X1))
      | ~ ordinal(succ(X0))
      | ~ ordinal(X1)
      | in(X1,succ(succ(X0))) ),
    inference(resolution,[],[f735,f682]) ).

fof(f903,plain,
    ! [X0] :
      ( ~ being_limit_ordinal(X0)
      | ~ ordinal(X0)
      | ~ in(succ(succ(succ(succ(X0)))),X0)
      | ~ ordinal(succ(succ(succ(X0)))) ),
    inference(subsumption_resolution,[],[f902,f180]) ).

fof(f902,plain,
    ! [X0] :
      ( ~ being_limit_ordinal(X0)
      | ~ ordinal(X0)
      | ~ in(succ(succ(succ(succ(X0)))),X0)
      | ~ ordinal(succ(X0))
      | ~ ordinal(succ(succ(succ(X0)))) ),
    inference(subsumption_resolution,[],[f895,f180]) ).

fof(f895,plain,
    ! [X0] :
      ( ~ being_limit_ordinal(X0)
      | ~ ordinal(X0)
      | ~ in(succ(succ(succ(succ(X0)))),X0)
      | ~ ordinal(succ(succ(succ(succ(X0)))))
      | ~ ordinal(succ(X0))
      | ~ ordinal(succ(succ(succ(X0)))) ),
    inference(resolution,[],[f735,f719]) ).

fof(f901,plain,
    ! [X0] :
      ( ~ being_limit_ordinal(X0)
      | ~ ordinal(X0)
      | ~ in(succ(sK3(succ(X0))),X0)
      | ~ ordinal(succ(sK3(succ(X0)))) ),
    inference(subsumption_resolution,[],[f900,f180]) ).

fof(f900,plain,
    ! [X0] :
      ( ~ being_limit_ordinal(X0)
      | ~ ordinal(X0)
      | ~ in(succ(sK3(succ(X0))),X0)
      | ~ ordinal(succ(sK3(succ(X0))))
      | ~ ordinal(succ(X0)) ),
    inference(subsumption_resolution,[],[f894,f546]) ).

fof(f894,plain,
    ! [X0] :
      ( ~ being_limit_ordinal(X0)
      | ~ ordinal(X0)
      | ~ in(succ(sK3(succ(X0))),X0)
      | ~ ordinal(succ(sK3(succ(X0))))
      | being_limit_ordinal(succ(X0))
      | ~ ordinal(succ(X0)) ),
    inference(resolution,[],[f735,f184]) ).

fof(f893,plain,
    ! [X0] :
      ( ~ being_limit_ordinal(X0)
      | ~ ordinal(X0)
      | ~ in(succ(succ(X0)),X0)
      | ~ ordinal(succ(succ(X0))) ),
    inference(resolution,[],[f735,f281]) ).

fof(f735,plain,
    ! [X0,X1] :
      ( in(X0,succ(X1))
      | ~ being_limit_ordinal(X1)
      | ~ ordinal(X1)
      | ~ in(X0,X1)
      | ~ ordinal(X0) ),
    inference(duplicate_literal_removal,[],[f727]) ).

fof(f727,plain,
    ! [X0,X1] :
      ( ~ ordinal(X0)
      | ~ being_limit_ordinal(X1)
      | ~ ordinal(X1)
      | ~ in(X0,X1)
      | in(X0,succ(X1))
      | ~ ordinal(X1)
      | ~ ordinal(X0) ),
    inference(resolution,[],[f526,f552]) ).

fof(f887,plain,
    ! [X0] :
      ( being_limit_ordinal(powerset(X0))
      | ~ ordinal(powerset(X0))
      | sK3(powerset(X0)) = X0
      | proper_subset(sK3(powerset(X0)),X0) ),
    inference(global_subsumption,[],[f158,f160,f162,f166,f177,f248,f156,f159,f167,f168,f169,f219,f220,f221,f222,f223,f224,f225,f227,f228,f229,f230,f241,f242,f243,f244,f246,f170,f198,f157,f155,f171,f175,f190,f191,f192,f196,f153,f172,f178,f179,f180,f189,f259,f260,f261,f262,f199,f216,f193,f201,f202,f203,f205,f281,f206,f154,f173,f182,f200,f286,f289,f292,f285,f300,f295,f207,f213,f323,f214,f215,f324,f183,f338,f204,f340,f343,f335,f184,f212,f218,f348,f352,f354,f361,f362,f363,f364,f355,f369,f370,f373,f368,f174,f349,f350,f353,f356,f208,f209,f210,f217,f427,f428,f342,f441,f444,f429,f447,f347,f449,f351,f421,f460,f432,f461,f462,f439,f468,f450,f185,f459,f472,f471,f475,f476,f466,f492,f493,f494,f495,f496,f499,f500,f501,f490,f186,f522,f181,f528,f529,f530,f540,f541,f533,f535,f538,f546,f521,f337,f553,f555,f556,f423,f393,f562,f563,f489,f577,f578,f579,f580,f581,f403,f588,f589,f590,f502,f610,f611,f612,f420,f641,f642,f636,f645,f646,f647,f644,f649,f657,f653,f667,f651,f443,f679,f552,f699,f686,f689,f691,f701,f693,f463,f702,f703,f704,f705,f682,f713,f707,f715,f717,f710,f684,f724,f722,f526,f736,f735,f734,f741,f733,f740,f745,f746,f719,f753,f755,f757,f750,f582,f664,f675,f765,f767,f769,f768,f390,f789,f788,f770,f771,f787,f811,f812,f813,f814,f815,f816,f817,f818,f790,f436,f838,f837,f844,f845,f635,f853,f852,f854,f542,f856,f431,f857,f858,f859,f862,f865,f557,f884,f885,f886]) ).

fof(f886,plain,
    ! [X0] :
      ( being_limit_ordinal(powerset(X0))
      | ~ ordinal(powerset(X0))
      | ~ ordinal(X0)
      | sK3(powerset(X0)) = X0
      | proper_subset(sK3(powerset(X0)),X0) ),
    inference(subsumption_resolution,[],[f882,f182]) ).

fof(f882,plain,
    ! [X0] :
      ( being_limit_ordinal(powerset(X0))
      | ~ ordinal(powerset(X0))
      | ~ ordinal(X0)
      | ~ ordinal(sK3(powerset(X0)))
      | sK3(powerset(X0)) = X0
      | proper_subset(sK3(powerset(X0)),X0) ),
    inference(duplicate_literal_removal,[],[f880]) ).

fof(f880,plain,
    ! [X0] :
      ( being_limit_ordinal(powerset(X0))
      | ~ ordinal(powerset(X0))
      | ~ ordinal(X0)
      | ~ ordinal(X0)
      | ~ ordinal(sK3(powerset(X0)))
      | sK3(powerset(X0)) = X0
      | proper_subset(sK3(powerset(X0)),X0) ),
    inference(resolution,[],[f557,f420]) ).

fof(f885,plain,
    ! [X0,X1] :
      ( being_limit_ordinal(powerset(X0))
      | ~ ordinal(powerset(X0))
      | element(X1,X0)
      | ~ in(X1,sK3(powerset(X0))) ),
    inference(global_subsumption,[],[f158,f160,f162,f166,f177,f248,f156,f159,f167,f168,f169,f219,f220,f221,f222,f223,f224,f225,f227,f228,f229,f230,f241,f242,f243,f244,f246,f170,f198,f157,f155,f171,f175,f190,f191,f192,f196,f153,f172,f178,f179,f180,f189,f259,f260,f261,f262,f199,f216,f193,f201,f202,f203,f205,f281,f206,f154,f173,f182,f200,f286,f289,f292,f285,f300,f295,f207,f213,f323,f214,f215,f324,f183,f338,f204,f340,f343,f335,f184,f212,f218,f348,f352,f354,f361,f362,f363,f364,f355,f369,f370,f373,f368,f174,f349,f350,f353,f356,f208,f209,f210,f217,f427,f428,f342,f441,f444,f429,f447,f347,f449,f351,f421,f460,f432,f461,f462,f439,f468,f450,f185,f459,f472,f471,f475,f476,f466,f492,f493,f494,f495,f496,f499,f500,f501,f490,f186,f522,f181,f528,f529,f530,f540,f541,f533,f535,f538,f546,f521,f337,f553,f555,f556,f423,f393,f562,f563,f489,f577,f578,f579,f580,f581,f403,f588,f589,f590,f502,f610,f611,f612,f420,f641,f642,f636,f645,f646,f647,f644,f649,f657,f653,f667,f651,f443,f679,f552,f699,f686,f689,f691,f701,f693,f463,f702,f703,f704,f705,f682,f713,f707,f715,f717,f710,f684,f724,f722,f526,f736,f735,f734,f741,f733,f740,f745,f746,f719,f753,f755,f757,f750,f582,f664,f675,f765,f767,f769,f768,f390,f789,f788,f770,f771,f787,f811,f812,f813,f814,f815,f816,f817,f818,f790,f436,f838,f837,f844,f845,f635,f853,f852,f854,f542,f856,f431,f857,f858,f859,f862,f865,f557,f884]) ).

fof(f884,plain,
    ! [X0,X1] :
      ( being_limit_ordinal(powerset(X0))
      | ~ ordinal(powerset(X0))
      | ~ ordinal(X0)
      | element(X1,X0)
      | ~ in(X1,sK3(powerset(X0))) ),
    inference(subsumption_resolution,[],[f883,f182]) ).

fof(f883,plain,
    ! [X0,X1] :
      ( being_limit_ordinal(powerset(X0))
      | ~ ordinal(powerset(X0))
      | ~ ordinal(X0)
      | element(X1,X0)
      | ~ in(X1,sK3(powerset(X0)))
      | ~ ordinal(sK3(powerset(X0))) ),
    inference(duplicate_literal_removal,[],[f879]) ).

fof(f879,plain,
    ! [X0,X1] :
      ( being_limit_ordinal(powerset(X0))
      | ~ ordinal(powerset(X0))
      | ~ ordinal(X0)
      | element(X1,X0)
      | ~ in(X1,sK3(powerset(X0)))
      | ~ ordinal(X0)
      | ~ ordinal(sK3(powerset(X0))) ),
    inference(resolution,[],[f557,f436]) ).

fof(f557,plain,
    ! [X0] :
      ( ordinal_subset(sK3(powerset(X0)),X0)
      | being_limit_ordinal(powerset(X0))
      | ~ ordinal(powerset(X0))
      | ~ ordinal(X0) ),
    inference(subsumption_resolution,[],[f554,f182]) ).

fof(f554,plain,
    ! [X0] :
      ( ~ ordinal(powerset(X0))
      | being_limit_ordinal(powerset(X0))
      | ordinal_subset(sK3(powerset(X0)),X0)
      | ~ ordinal(X0)
      | ~ ordinal(sK3(powerset(X0))) ),
    inference(resolution,[],[f337,f210]) ).

fof(f865,plain,
    ( being_limit_ordinal(empty_set)
    | element(sK3(empty_set),empty_set) ),
    inference(subsumption_resolution,[],[f864,f169]) ).

fof(f864,plain,
    ( ~ ordinal(empty_set)
    | being_limit_ordinal(empty_set)
    | element(sK3(empty_set),empty_set) ),
    inference(forward_demodulation,[],[f863,f355]) ).

fof(f863,plain,
    ( being_limit_ordinal(empty_set)
    | element(sK3(empty_set),empty_set)
    | ~ ordinal(sK4(powerset(empty_set))) ),
    inference(forward_demodulation,[],[f861,f355]) ).

fof(f861,plain,
    ( element(sK3(empty_set),empty_set)
    | being_limit_ordinal(sK4(powerset(empty_set)))
    | ~ ordinal(sK4(powerset(empty_set))) ),
    inference(superposition,[],[f431,f355]) ).

fof(f859,plain,
    ! [X0] :
      ( being_limit_ordinal(sK4(powerset(powerset(X0))))
      | ~ ordinal(sK4(powerset(powerset(X0))))
      | subset(sK3(sK4(powerset(powerset(X0)))),X0) ),
    inference(resolution,[],[f431,f213]) ).

fof(f858,plain,
    ! [X0,X1] :
      ( being_limit_ordinal(sK4(powerset(powerset(X0))))
      | ~ ordinal(sK4(powerset(powerset(X0))))
      | ~ empty(X0)
      | ~ in(X1,sK3(sK4(powerset(powerset(X0))))) ),
    inference(resolution,[],[f431,f218]) ).

fof(f857,plain,
    ! [X0,X1] :
      ( being_limit_ordinal(sK4(powerset(powerset(X0))))
      | ~ ordinal(sK4(powerset(powerset(X0))))
      | element(X1,X0)
      | ~ in(X1,sK3(sK4(powerset(powerset(X0))))) ),
    inference(resolution,[],[f431,f217]) ).

fof(f431,plain,
    ! [X0] :
      ( element(sK3(sK4(powerset(X0))),X0)
      | being_limit_ordinal(sK4(powerset(X0)))
      | ~ ordinal(sK4(powerset(X0))) ),
    inference(resolution,[],[f427,f183]) ).

fof(f856,plain,
    ! [X0] :
      ( ~ being_limit_ordinal(powerset(X0))
      | empty(powerset(X0))
      | ~ ordinal(powerset(X0))
      | ~ ordinal_subset(powerset(X0),X0)
      | ~ ordinal(X0) ),
    inference(duplicate_literal_removal,[],[f855]) ).

fof(f855,plain,
    ! [X0] :
      ( ~ being_limit_ordinal(powerset(X0))
      | empty(powerset(X0))
      | ~ ordinal(powerset(X0))
      | ~ ordinal_subset(powerset(X0),X0)
      | ~ ordinal(X0)
      | ~ ordinal(powerset(X0)) ),
    inference(resolution,[],[f542,f209]) ).

fof(f542,plain,
    ! [X0] :
      ( ~ subset(powerset(X0),X0)
      | ~ being_limit_ordinal(powerset(X0))
      | empty(powerset(X0))
      | ~ ordinal(powerset(X0)) ),
    inference(resolution,[],[f538,f342]) ).

fof(f854,plain,
    ! [X0,X1] :
      ( ~ ordinal(X0)
      | succ(X1) = X0
      | proper_subset(X0,succ(X1))
      | in(X1,X0)
      | ~ ordinal(X1) ),
    inference(subsumption_resolution,[],[f850,f180]) ).

fof(f850,plain,
    ! [X0,X1] :
      ( ~ ordinal(X0)
      | succ(X1) = X0
      | proper_subset(X0,succ(X1))
      | ~ ordinal(succ(X1))
      | in(X1,X0)
      | ~ ordinal(X1) ),
    inference(duplicate_literal_removal,[],[f849]) ).

fof(f849,plain,
    ! [X0,X1] :
      ( ~ ordinal(X0)
      | succ(X1) = X0
      | proper_subset(X0,succ(X1))
      | ~ ordinal(succ(X1))
      | in(X1,X0)
      | ~ ordinal(X0)
      | ~ ordinal(X1) ),
    inference(resolution,[],[f635,f186]) ).

fof(f853,plain,
    ! [X2,X0,X1] :
      ( ~ ordinal(X0)
      | X0 = X1
      | proper_subset(X0,X1)
      | ~ ordinal(X1)
      | element(X2,X0)
      | ~ in(X2,X1) ),
    inference(duplicate_literal_removal,[],[f846]) ).

fof(f846,plain,
    ! [X2,X0,X1] :
      ( ~ ordinal(X0)
      | X0 = X1
      | proper_subset(X0,X1)
      | ~ ordinal(X1)
      | element(X2,X0)
      | ~ in(X2,X1)
      | ~ ordinal(X0)
      | ~ ordinal(X1) ),
    inference(resolution,[],[f635,f436]) ).

fof(f635,plain,
    ! [X0,X1] :
      ( ordinal_subset(X0,X1)
      | ~ ordinal(X1)
      | X0 = X1
      | proper_subset(X1,X0)
      | ~ ordinal(X0) ),
    inference(duplicate_literal_removal,[],[f626]) ).

fof(f626,plain,
    ! [X0,X1] :
      ( ~ ordinal(X0)
      | ~ ordinal(X1)
      | X0 = X1
      | proper_subset(X1,X0)
      | ordinal_subset(X0,X1)
      | ~ ordinal(X1)
      | ~ ordinal(X0) ),
    inference(resolution,[],[f420,f208]) ).

fof(f838,plain,
    ! [X2,X0,X1] :
      ( element(X0,X1)
      | ~ in(X0,X2)
      | ~ ordinal(X1)
      | ~ ordinal(X2)
      | ordinal_subset(X1,X2) ),
    inference(duplicate_literal_removal,[],[f824]) ).

fof(f824,plain,
    ! [X2,X0,X1] :
      ( element(X0,X1)
      | ~ in(X0,X2)
      | ~ ordinal(X1)
      | ~ ordinal(X2)
      | ordinal_subset(X1,X2)
      | ~ ordinal(X1)
      | ~ ordinal(X2) ),
    inference(resolution,[],[f436,f208]) ).

fof(f436,plain,
    ! [X2,X0,X1] :
      ( ~ ordinal_subset(X1,X2)
      | element(X0,X2)
      | ~ in(X0,X1)
      | ~ ordinal(X2)
      | ~ ordinal(X1) ),
    inference(resolution,[],[f428,f209]) ).

fof(f790,plain,
    ! [X0] :
      ( being_limit_ordinal(sK3(powerset(X0)))
      | being_limit_ordinal(powerset(X0))
      | ~ ordinal(powerset(X0))
      | ~ empty(X0) ),
    inference(subsumption_resolution,[],[f786,f182]) ).

fof(f786,plain,
    ! [X0] :
      ( ~ empty(X0)
      | being_limit_ordinal(powerset(X0))
      | ~ ordinal(powerset(X0))
      | being_limit_ordinal(sK3(powerset(X0)))
      | ~ ordinal(sK3(powerset(X0))) ),
    inference(resolution,[],[f390,f183]) ).

fof(f818,plain,
    ! [X0,X1] :
      ( being_limit_ordinal(powerset(X0))
      | ~ ordinal(powerset(X0))
      | ~ empty(X0)
      | sK3(powerset(X0)) = sK4(powerset(sK4(powerset(X1))))
      | ~ empty(X1) ),
    inference(resolution,[],[f787,f502]) ).

fof(f817,plain,
    ! [X0] :
      ( being_limit_ordinal(powerset(X0))
      | ~ ordinal(powerset(X0))
      | ~ empty(X0)
      | empty_set = sK4(powerset(sK4(powerset(sK4(powerset(sK3(powerset(X0)))))))) ),
    inference(resolution,[],[f787,f403]) ).

fof(f816,plain,
    ! [X0,X1] :
      ( being_limit_ordinal(powerset(X0))
      | ~ ordinal(powerset(X0))
      | ~ empty(X0)
      | ~ empty(X1)
      | sK4(powerset(X1)) = sK4(powerset(sK3(powerset(X0)))) ),
    inference(resolution,[],[f787,f393]) ).

fof(f815,plain,
    ! [X0] :
      ( being_limit_ordinal(powerset(X0))
      | ~ ordinal(powerset(X0))
      | ~ empty(X0)
      | empty_set = sK4(powerset(sK4(powerset(sK3(powerset(X0)))))) ),
    inference(resolution,[],[f787,f356]) ).

fof(f814,plain,
    ! [X0] :
      ( being_limit_ordinal(powerset(X0))
      | ~ ordinal(powerset(X0))
      | ~ empty(X0)
      | empty_set = sK4(powerset(sK3(powerset(X0)))) ),
    inference(resolution,[],[f787,f354]) ).

fof(f813,plain,
    ! [X0,X1] :
      ( being_limit_ordinal(powerset(X0))
      | ~ ordinal(powerset(X0))
      | ~ empty(X0)
      | sK3(powerset(X0)) = sK4(powerset(X1))
      | ~ empty(X1) ),
    inference(resolution,[],[f787,f353]) ).

fof(f812,plain,
    ! [X0,X1] :
      ( being_limit_ordinal(powerset(X0))
      | ~ ordinal(powerset(X0))
      | ~ empty(X0)
      | sK3(powerset(X0)) = X1
      | ~ empty(X1) ),
    inference(resolution,[],[f787,f215]) ).

fof(f787,plain,
    ! [X0] :
      ( empty(sK3(powerset(X0)))
      | being_limit_ordinal(powerset(X0))
      | ~ ordinal(powerset(X0))
      | ~ empty(X0) ),
    inference(resolution,[],[f390,f340]) ).

fof(f771,plain,
    ! [X0,X1] :
      ( ~ empty(X0)
      | sK9 = X0
      | ~ empty(X1)
      | ordinal_subset(X1,sK9) ),
    inference(resolution,[],[f675,f229]) ).

fof(f770,plain,
    ! [X0,X1] :
      ( ~ empty(X0)
      | sK7 = X0
      | ~ empty(X1)
      | ordinal_subset(X1,sK7) ),
    inference(resolution,[],[f675,f224]) ).

fof(f789,plain,
    ! [X0,X1] :
      ( ~ empty(X0)
      | being_limit_ordinal(powerset(X0))
      | ~ ordinal(powerset(X0))
      | ~ empty(X1)
      | sK3(powerset(X0)) = X1 ),
    inference(subsumption_resolution,[],[f784,f182]) ).

fof(f784,plain,
    ! [X0,X1] :
      ( ~ empty(X0)
      | being_limit_ordinal(powerset(X0))
      | ~ ordinal(powerset(X0))
      | ~ ordinal(sK3(powerset(X0)))
      | ~ empty(X1)
      | sK3(powerset(X0)) = X1 ),
    inference(resolution,[],[f390,f653]) ).

fof(f390,plain,
    ! [X0,X1] :
      ( ~ in(X0,sK3(powerset(X1)))
      | ~ empty(X1)
      | being_limit_ordinal(powerset(X1))
      | ~ ordinal(powerset(X1)) ),
    inference(resolution,[],[f350,f183]) ).

fof(f768,plain,
    ! [X0,X1] :
      ( ~ empty(X0)
      | sK2 = X0
      | ~ empty(X1)
      | ordinal_subset(X1,sK2) ),
    inference(resolution,[],[f675,f156]) ).

fof(f769,plain,
    ! [X2,X0,X1] :
      ( ~ empty(X0)
      | sK3(X1) = X0
      | ~ empty(X2)
      | ordinal_subset(X2,sK3(X1))
      | being_limit_ordinal(X1)
      | ~ ordinal(X1) ),
    inference(resolution,[],[f675,f182]) ).

fof(f675,plain,
    ! [X2,X0,X1] :
      ( ~ ordinal(X0)
      | ~ empty(X1)
      | X0 = X1
      | ~ empty(X2)
      | ordinal_subset(X2,X0) ),
    inference(duplicate_literal_removal,[],[f659]) ).

fof(f659,plain,
    ! [X2,X0,X1] :
      ( ~ ordinal(X0)
      | ~ empty(X1)
      | X0 = X1
      | ~ ordinal(X0)
      | ~ empty(X2)
      | ordinal_subset(X2,X0) ),
    inference(resolution,[],[f653,f459]) ).

fof(f664,plain,
    ! [X0,X1] :
      ( ~ ordinal(powerset(X0))
      | ~ empty(X1)
      | powerset(X0) = X1
      | subset(X1,X0) ),
    inference(resolution,[],[f653,f324]) ).

fof(f582,plain,
    ! [X0,X1] :
      ( ordinal_subset(X0,X1)
      | ~ empty(X0)
      | ~ ordinal(X1)
      | empty_set = sK4(powerset(X1)) ),
    inference(resolution,[],[f489,f189]) ).

fof(f750,plain,
    ! [X0] :
      ( ~ ordinal(powerset(X0))
      | ~ ordinal(succ(succ(powerset(X0))))
      | empty(powerset(X0))
      | ~ subset(succ(succ(succ(powerset(X0)))),X0) ),
    inference(resolution,[],[f719,f342]) ).

fof(f757,plain,
    ! [X0] :
      ( ~ ordinal(succ(succ(succ(X0))))
      | in(X0,succ(succ(succ(succ(succ(X0))))))
      | ~ ordinal(X0) ),
    inference(subsumption_resolution,[],[f756,f180]) ).

fof(f756,plain,
    ! [X0] :
      ( ~ ordinal(succ(succ(succ(X0))))
      | in(X0,succ(succ(succ(succ(succ(X0))))))
      | ~ ordinal(succ(succ(succ(succ(X0)))))
      | ~ ordinal(X0) ),
    inference(subsumption_resolution,[],[f749,f180]) ).

fof(f749,plain,
    ! [X0] :
      ( ~ ordinal(succ(X0))
      | ~ ordinal(succ(succ(succ(X0))))
      | in(X0,succ(succ(succ(succ(succ(X0))))))
      | ~ ordinal(succ(succ(succ(succ(X0)))))
      | ~ ordinal(X0) ),
    inference(resolution,[],[f719,f552]) ).

fof(f755,plain,
    ! [X0] :
      ( ~ ordinal(succ(succ(succ(X0))))
      | in(X0,succ(succ(succ(succ(succ(X0))))))
      | ~ ordinal(X0) ),
    inference(subsumption_resolution,[],[f754,f180]) ).

fof(f754,plain,
    ! [X0] :
      ( ~ ordinal(succ(succ(succ(X0))))
      | in(X0,succ(succ(succ(succ(succ(X0))))))
      | ~ ordinal(X0)
      | ~ ordinal(succ(succ(succ(succ(X0))))) ),
    inference(subsumption_resolution,[],[f748,f180]) ).

fof(f748,plain,
    ! [X0] :
      ( ~ ordinal(succ(X0))
      | ~ ordinal(succ(succ(succ(X0))))
      | in(X0,succ(succ(succ(succ(succ(X0))))))
      | ~ ordinal(X0)
      | ~ ordinal(succ(succ(succ(succ(X0))))) ),
    inference(resolution,[],[f719,f552]) ).

fof(f753,plain,
    ! [X0] :
      ( ~ ordinal(X0)
      | ~ ordinal(succ(succ(X0)))
      | ~ in(succ(succ(X0)),X0)
      | ~ being_limit_ordinal(X0) ),
    inference(duplicate_literal_removal,[],[f747]) ).

fof(f747,plain,
    ! [X0] :
      ( ~ ordinal(X0)
      | ~ ordinal(succ(succ(X0)))
      | ~ in(succ(succ(X0)),X0)
      | ~ ordinal(succ(succ(X0)))
      | ~ being_limit_ordinal(X0)
      | ~ ordinal(X0) ),
    inference(resolution,[],[f719,f181]) ).

fof(f719,plain,
    ! [X0] :
      ( ~ in(succ(succ(succ(X0))),X0)
      | ~ ordinal(X0)
      | ~ ordinal(succ(succ(X0))) ),
    inference(resolution,[],[f684,f205]) ).

fof(f746,plain,
    ! [X0] :
      ( ~ being_limit_ordinal(sK3(succ(succ(X0))))
      | ~ in(X0,sK3(succ(succ(X0))))
      | ~ ordinal(X0)
      | ~ ordinal(sK3(succ(succ(X0)))) ),
    inference(subsumption_resolution,[],[f744,f180]) ).

fof(f744,plain,
    ! [X0] :
      ( ~ being_limit_ordinal(sK3(succ(succ(X0))))
      | ~ ordinal(succ(X0))
      | ~ in(X0,sK3(succ(succ(X0))))
      | ~ ordinal(X0)
      | ~ ordinal(sK3(succ(succ(X0)))) ),
    inference(duplicate_literal_removal,[],[f743]) ).

fof(f743,plain,
    ! [X0] :
      ( ~ being_limit_ordinal(sK3(succ(succ(X0))))
      | ~ ordinal(succ(X0))
      | ~ in(X0,sK3(succ(succ(X0))))
      | ~ ordinal(X0)
      | ~ being_limit_ordinal(sK3(succ(succ(X0))))
      | ~ ordinal(sK3(succ(succ(X0)))) ),
    inference(resolution,[],[f740,f181]) ).

fof(f745,plain,
    ! [X0] :
      ( ~ being_limit_ordinal(sK3(succ(X0)))
      | ~ ordinal(sK3(succ(X0)))
      | ~ empty(X0)
      | sK3(succ(X0)) = X0 ),
    inference(subsumption_resolution,[],[f742,f192]) ).

fof(f742,plain,
    ! [X0] :
      ( ~ being_limit_ordinal(sK3(succ(X0)))
      | ~ ordinal(X0)
      | ~ ordinal(sK3(succ(X0)))
      | ~ empty(X0)
      | sK3(succ(X0)) = X0 ),
    inference(resolution,[],[f740,f653]) ).

fof(f740,plain,
    ! [X0] :
      ( ~ in(X0,sK3(succ(X0)))
      | ~ being_limit_ordinal(sK3(succ(X0)))
      | ~ ordinal(X0) ),
    inference(subsumption_resolution,[],[f739,f180]) ).

fof(f739,plain,
    ! [X0] :
      ( ~ ordinal(X0)
      | ~ being_limit_ordinal(sK3(succ(X0)))
      | ~ in(X0,sK3(succ(X0)))
      | ~ ordinal(succ(X0)) ),
    inference(subsumption_resolution,[],[f738,f546]) ).

fof(f738,plain,
    ! [X0] :
      ( ~ ordinal(X0)
      | ~ being_limit_ordinal(sK3(succ(X0)))
      | ~ in(X0,sK3(succ(X0)))
      | being_limit_ordinal(succ(X0))
      | ~ ordinal(succ(X0)) ),
    inference(subsumption_resolution,[],[f731,f182]) ).

fof(f731,plain,
    ! [X0] :
      ( ~ ordinal(X0)
      | ~ being_limit_ordinal(sK3(succ(X0)))
      | ~ ordinal(sK3(succ(X0)))
      | ~ in(X0,sK3(succ(X0)))
      | being_limit_ordinal(succ(X0))
      | ~ ordinal(succ(X0)) ),
    inference(resolution,[],[f526,f183]) ).

fof(f733,plain,
    ! [X0] :
      ( ~ ordinal(X0)
      | ~ being_limit_ordinal(sK4(sK4(powerset(succ(X0)))))
      | ~ ordinal(sK4(sK4(powerset(succ(X0)))))
      | ~ in(X0,sK4(sK4(powerset(succ(X0)))))
      | empty(sK4(powerset(succ(X0)))) ),
    inference(resolution,[],[f526,f466]) ).

fof(f736,plain,
    ! [X0,X1] :
      ( ~ ordinal(X0)
      | ~ being_limit_ordinal(X1)
      | ~ ordinal(X1)
      | ~ in(X0,X1)
      | in(X0,succ(X1)) ),
    inference(duplicate_literal_removal,[],[f726]) ).

fof(f726,plain,
    ! [X0,X1] :
      ( ~ ordinal(X0)
      | ~ being_limit_ordinal(X1)
      | ~ ordinal(X1)
      | ~ in(X0,X1)
      | in(X0,succ(X1))
      | ~ ordinal(X0)
      | ~ ordinal(X1) ),
    inference(resolution,[],[f526,f552]) ).

fof(f526,plain,
    ! [X0,X1] :
      ( ~ in(X1,succ(X0))
      | ~ ordinal(X0)
      | ~ being_limit_ordinal(X1)
      | ~ ordinal(X1)
      | ~ in(X0,X1) ),
    inference(resolution,[],[f181,f205]) ).

fof(f722,plain,
    ! [X0] :
      ( ~ ordinal(succ(succ(powerset(X0))))
      | ~ ordinal(powerset(X0))
      | ~ subset(succ(succ(succ(powerset(X0)))),X0)
      | empty(powerset(X0)) ),
    inference(resolution,[],[f684,f439]) ).

fof(f724,plain,
    ! [X0] :
      ( ~ ordinal(succ(succ(succ(X0))))
      | ~ ordinal(X0)
      | in(X0,succ(succ(succ(succ(succ(X0)))))) ),
    inference(subsumption_resolution,[],[f723,f180]) ).

fof(f723,plain,
    ! [X0] :
      ( ~ ordinal(succ(succ(succ(X0))))
      | ~ ordinal(succ(succ(succ(succ(X0)))))
      | ~ ordinal(X0)
      | in(X0,succ(succ(succ(succ(succ(X0)))))) ),
    inference(subsumption_resolution,[],[f721,f180]) ).

fof(f721,plain,
    ! [X0] :
      ( ~ ordinal(succ(succ(succ(X0))))
      | ~ ordinal(succ(X0))
      | ~ ordinal(succ(succ(succ(succ(X0)))))
      | ~ ordinal(X0)
      | in(X0,succ(succ(succ(succ(succ(X0)))))) ),
    inference(resolution,[],[f684,f682]) ).

fof(f684,plain,
    ! [X0] :
      ( in(X0,succ(succ(succ(X0))))
      | ~ ordinal(succ(succ(X0)))
      | ~ ordinal(X0) ),
    inference(resolution,[],[f552,f281]) ).

fof(f710,plain,
    ! [X0,X1] :
      ( ~ ordinal(powerset(X0))
      | ~ ordinal(X1)
      | in(X1,succ(powerset(X0)))
      | empty(powerset(X0))
      | ~ subset(succ(X1),X0) ),
    inference(resolution,[],[f682,f342]) ).

fof(f717,plain,
    ! [X0,X1] :
      ( ~ ordinal(X1)
      | in(X1,succ(succ(X0)))
      | in(X0,succ(succ(X1)))
      | ~ ordinal(X0) ),
    inference(subsumption_resolution,[],[f716,f180]) ).

fof(f716,plain,
    ! [X0,X1] :
      ( ~ ordinal(X1)
      | in(X1,succ(succ(X0)))
      | in(X0,succ(succ(X1)))
      | ~ ordinal(succ(X1))
      | ~ ordinal(X0) ),
    inference(subsumption_resolution,[],[f709,f180]) ).

fof(f709,plain,
    ! [X0,X1] :
      ( ~ ordinal(succ(X0))
      | ~ ordinal(X1)
      | in(X1,succ(succ(X0)))
      | in(X0,succ(succ(X1)))
      | ~ ordinal(succ(X1))
      | ~ ordinal(X0) ),
    inference(resolution,[],[f682,f552]) ).

fof(f707,plain,
    ! [X0] :
      ( ~ ordinal(succ(succ(X0)))
      | ~ ordinal(X0)
      | in(X0,succ(succ(succ(X0)))) ),
    inference(resolution,[],[f682,f171]) ).

fof(f713,plain,
    ! [X0,X1] :
      ( ~ ordinal(X0)
      | ~ ordinal(X1)
      | in(X1,succ(X0))
      | ~ in(X1,X0)
      | ~ being_limit_ordinal(X0) ),
    inference(duplicate_literal_removal,[],[f706]) ).

fof(f706,plain,
    ! [X0,X1] :
      ( ~ ordinal(X0)
      | ~ ordinal(X1)
      | in(X1,succ(X0))
      | ~ in(X1,X0)
      | ~ ordinal(X1)
      | ~ being_limit_ordinal(X0)
      | ~ ordinal(X0) ),
    inference(resolution,[],[f682,f181]) ).

fof(f682,plain,
    ! [X0,X1] :
      ( ~ in(succ(X0),X1)
      | ~ ordinal(X1)
      | ~ ordinal(X0)
      | in(X0,succ(X1)) ),
    inference(resolution,[],[f552,f205]) ).

fof(f705,plain,
    ! [X0] :
      ( empty(sK4(powerset(powerset(X0))))
      | sK4(sK4(powerset(powerset(X0)))) = X0
      | proper_subset(sK4(sK4(powerset(powerset(X0)))),X0) ),
    inference(resolution,[],[f463,f212]) ).

fof(f704,plain,
    ! [X0,X1] :
      ( empty(sK4(powerset(powerset(X0))))
      | ~ in(X1,sK4(sK4(powerset(powerset(X0)))))
      | ~ empty(X0) ),
    inference(resolution,[],[f463,f349]) ).

fof(f703,plain,
    ! [X0] :
      ( empty(sK4(powerset(powerset(X0))))
      | ordinal_subset(sK4(sK4(powerset(powerset(X0)))),X0)
      | ~ ordinal(X0)
      | ~ ordinal(sK4(sK4(powerset(powerset(X0))))) ),
    inference(resolution,[],[f463,f210]) ).

fof(f702,plain,
    ! [X0,X1] :
      ( empty(sK4(powerset(powerset(X0))))
      | ~ in(X1,sK4(sK4(powerset(powerset(X0)))))
      | element(X1,X0) ),
    inference(resolution,[],[f463,f428]) ).

fof(f463,plain,
    ! [X0] :
      ( subset(sK4(sK4(powerset(powerset(X0)))),X0)
      | empty(sK4(powerset(powerset(X0)))) ),
    inference(resolution,[],[f432,f213]) ).

fof(f693,plain,
    ! [X0,X1] :
      ( in(X0,succ(powerset(X1)))
      | ~ ordinal(X0)
      | ~ ordinal(powerset(X1))
      | ~ subset(succ(X0),X1)
      | empty(powerset(X1)) ),
    inference(resolution,[],[f552,f439]) ).

fof(f701,plain,
    ! [X0] :
      ( in(X0,succ(succ(sK3(succ(X0)))))
      | ~ ordinal(X0)
      | ~ ordinal(succ(sK3(succ(X0)))) ),
    inference(subsumption_resolution,[],[f700,f180]) ).

fof(f700,plain,
    ! [X0] :
      ( in(X0,succ(succ(sK3(succ(X0)))))
      | ~ ordinal(X0)
      | ~ ordinal(succ(sK3(succ(X0))))
      | ~ ordinal(succ(X0)) ),
    inference(subsumption_resolution,[],[f692,f546]) ).

fof(f692,plain,
    ! [X0] :
      ( in(X0,succ(succ(sK3(succ(X0)))))
      | ~ ordinal(X0)
      | ~ ordinal(succ(sK3(succ(X0))))
      | being_limit_ordinal(succ(X0))
      | ~ ordinal(succ(X0)) ),
    inference(resolution,[],[f552,f184]) ).

fof(f691,plain,
    ! [X0] :
      ( in(X0,succ(succ(succ(X0))))
      | ~ ordinal(X0)
      | ~ ordinal(succ(succ(X0))) ),
    inference(resolution,[],[f552,f281]) ).

fof(f689,plain,
    ! [X0,X1] :
      ( in(X0,succ(X1))
      | ~ ordinal(X0)
      | ~ ordinal(X1)
      | ~ in(succ(X0),X1) ),
    inference(resolution,[],[f552,f205]) ).

fof(f686,plain,
    ! [X0,X1] :
      ( in(X0,succ(powerset(X1)))
      | ~ ordinal(powerset(X1))
      | ~ ordinal(X0)
      | ~ subset(succ(X0),X1)
      | empty(powerset(X1)) ),
    inference(resolution,[],[f552,f439]) ).

fof(f552,plain,
    ! [X0,X1] :
      ( in(X1,succ(X0))
      | in(X0,succ(X1))
      | ~ ordinal(X1)
      | ~ ordinal(X0) ),
    inference(subsumption_resolution,[],[f551,f180]) ).

fof(f551,plain,
    ! [X0,X1] :
      ( ~ ordinal(X1)
      | in(X1,succ(X0))
      | in(X0,succ(X1))
      | ~ ordinal(succ(X1))
      | ~ ordinal(X0) ),
    inference(subsumption_resolution,[],[f549,f180]) ).

fof(f549,plain,
    ! [X0,X1] :
      ( ~ ordinal(succ(X0))
      | ~ ordinal(X1)
      | in(X1,succ(X0))
      | in(X0,succ(X1))
      | ~ ordinal(succ(X1))
      | ~ ordinal(X0) ),
    inference(resolution,[],[f521,f186]) ).

fof(f679,plain,
    ! [X0] :
      ( being_limit_ordinal(powerset(X0))
      | ~ ordinal(powerset(X0))
      | ~ ordinal_subset(succ(sK3(powerset(X0))),X0)
      | ~ ordinal(X0)
      | ~ ordinal(succ(sK3(powerset(X0)))) ),
    inference(resolution,[],[f443,f209]) ).

fof(f443,plain,
    ! [X0] :
      ( ~ subset(succ(sK3(powerset(X0))),X0)
      | being_limit_ordinal(powerset(X0))
      | ~ ordinal(powerset(X0)) ),
    inference(subsumption_resolution,[],[f442,f338]) ).

fof(f442,plain,
    ! [X0] :
      ( empty(powerset(X0))
      | ~ subset(succ(sK3(powerset(X0))),X0)
      | being_limit_ordinal(powerset(X0))
      | ~ ordinal(powerset(X0)) ),
    inference(resolution,[],[f342,f184]) ).

fof(f651,plain,
    ! [X0] :
      ( ~ ordinal(sK4(powerset(X0)))
      | sK4(powerset(X0)) = X0
      | ~ empty(X0) ),
    inference(duplicate_literal_removal,[],[f650]) ).

fof(f650,plain,
    ! [X0] :
      ( sK4(powerset(X0)) = X0
      | ~ ordinal(sK4(powerset(X0)))
      | ~ empty(X0)
      | sK4(powerset(X0)) = X0 ),
    inference(resolution,[],[f644,f450]) ).

fof(f653,plain,
    ! [X0,X1] :
      ( in(X1,X0)
      | ~ ordinal(X0)
      | ~ empty(X1)
      | X0 = X1 ),
    inference(subsumption_resolution,[],[f652,f190]) ).

fof(f652,plain,
    ! [X0,X1] :
      ( X0 = X1
      | ~ ordinal(X0)
      | ~ empty(X1)
      | in(X1,X0)
      | ~ epsilon_transitive(X1) ),
    inference(duplicate_literal_removal,[],[f648]) ).

fof(f648,plain,
    ! [X0,X1] :
      ( X0 = X1
      | ~ ordinal(X0)
      | ~ empty(X1)
      | in(X1,X0)
      | ~ ordinal(X0)
      | ~ epsilon_transitive(X1) ),
    inference(resolution,[],[f644,f174]) ).

fof(f657,plain,
    ! [X0] :
      ( ~ ordinal(sK4(powerset(X0)))
      | ~ empty(X0)
      | sK4(powerset(X0)) = X0 ),
    inference(duplicate_literal_removal,[],[f654]) ).

fof(f654,plain,
    ! [X0] :
      ( ~ ordinal(sK4(powerset(X0)))
      | ~ empty(X0)
      | sK4(powerset(X0)) = X0
      | sK4(powerset(X0)) = X0 ),
    inference(resolution,[],[f649,f347]) ).

fof(f649,plain,
    ! [X0,X1] :
      ( ~ proper_subset(X0,X1)
      | ~ ordinal(X0)
      | ~ empty(X1)
      | X0 = X1 ),
    inference(resolution,[],[f644,f203]) ).

fof(f644,plain,
    ! [X0,X1] :
      ( proper_subset(X1,X0)
      | X0 = X1
      | ~ ordinal(X0)
      | ~ empty(X1) ),
    inference(subsumption_resolution,[],[f643,f192]) ).

fof(f643,plain,
    ! [X0,X1] :
      ( ~ ordinal(X0)
      | ~ ordinal(X1)
      | X0 = X1
      | proper_subset(X1,X0)
      | ~ empty(X1) ),
    inference(subsumption_resolution,[],[f637,f215]) ).

fof(f637,plain,
    ! [X0,X1] :
      ( ~ ordinal(X0)
      | ~ ordinal(X1)
      | X0 = X1
      | proper_subset(X1,X0)
      | ~ empty(X1)
      | empty(X0) ),
    inference(duplicate_literal_removal,[],[f624]) ).

fof(f624,plain,
    ! [X0,X1] :
      ( ~ ordinal(X0)
      | ~ ordinal(X1)
      | X0 = X1
      | proper_subset(X1,X0)
      | ~ empty(X1)
      | ~ ordinal(X0)
      | empty(X0) ),
    inference(resolution,[],[f420,f475]) ).

fof(f646,plain,
    ! [X0,X1] :
      ( ~ ordinal(succ(X0))
      | succ(X0) = X1
      | proper_subset(X1,succ(X0))
      | ~ empty(X1) ),
    inference(subsumption_resolution,[],[f633,f192]) ).

fof(f633,plain,
    ! [X0,X1] :
      ( ~ ordinal(succ(X0))
      | ~ ordinal(X1)
      | succ(X0) = X1
      | proper_subset(X1,succ(X0))
      | ~ empty(X1) ),
    inference(duplicate_literal_removal,[],[f628]) ).

fof(f628,plain,
    ! [X0,X1] :
      ( ~ ordinal(succ(X0))
      | ~ ordinal(X1)
      | succ(X0) = X1
      | proper_subset(X1,succ(X0))
      | ~ empty(X1)
      | ~ ordinal(succ(X0)) ),
    inference(resolution,[],[f420,f471]) ).

fof(f636,plain,
    ! [X0,X1] :
      ( ~ ordinal(X0)
      | ~ ordinal(X1)
      | X0 = X1
      | proper_subset(X1,X0)
      | ordinal_subset(X0,X1) ),
    inference(duplicate_literal_removal,[],[f625]) ).

fof(f625,plain,
    ! [X0,X1] :
      ( ~ ordinal(X0)
      | ~ ordinal(X1)
      | X0 = X1
      | proper_subset(X1,X0)
      | ordinal_subset(X0,X1)
      | ~ ordinal(X0)
      | ~ ordinal(X1) ),
    inference(resolution,[],[f420,f208]) ).

fof(f642,plain,
    ! [X0,X1] :
      ( ~ ordinal(X0)
      | X0 = X1
      | proper_subset(X1,X0)
      | ~ empty(X1)
      | being_limit_ordinal(X0) ),
    inference(subsumption_resolution,[],[f638,f192]) ).

fof(f638,plain,
    ! [X0,X1] :
      ( ~ ordinal(X0)
      | ~ ordinal(X1)
      | X0 = X1
      | proper_subset(X1,X0)
      | ~ empty(X1)
      | being_limit_ordinal(X0) ),
    inference(duplicate_literal_removal,[],[f623]) ).

fof(f623,plain,
    ! [X0,X1] :
      ( ~ ordinal(X0)
      | ~ ordinal(X1)
      | X0 = X1
      | proper_subset(X1,X0)
      | ~ empty(X1)
      | ~ ordinal(X0)
      | being_limit_ordinal(X0) ),
    inference(resolution,[],[f420,f476]) ).

fof(f641,plain,
    ! [X0,X1] :
      ( ~ ordinal(X0)
      | X0 = X1
      | proper_subset(X1,X0)
      | empty(sK4(powerset(X0)))
      | ~ empty(X1) ),
    inference(subsumption_resolution,[],[f639,f192]) ).

fof(f639,plain,
    ! [X0,X1] :
      ( ~ ordinal(X0)
      | ~ ordinal(X1)
      | X0 = X1
      | proper_subset(X1,X0)
      | empty(sK4(powerset(X0)))
      | ~ empty(X1) ),
    inference(duplicate_literal_removal,[],[f622]) ).

fof(f622,plain,
    ! [X0,X1] :
      ( ~ ordinal(X0)
      | ~ ordinal(X1)
      | X0 = X1
      | proper_subset(X1,X0)
      | empty(sK4(powerset(X0)))
      | ~ empty(X1)
      | ~ ordinal(X0) ),
    inference(resolution,[],[f420,f489]) ).

fof(f420,plain,
    ! [X0,X1] :
      ( ~ ordinal_subset(X0,X1)
      | ~ ordinal(X1)
      | ~ ordinal(X0)
      | X0 = X1
      | proper_subset(X0,X1) ),
    inference(resolution,[],[f209,f212]) ).

fof(f612,plain,
    ! [X0,X1] :
      ( sK4(powerset(sK4(powerset(X0)))) = sK4(powerset(sK4(powerset(X1))))
      | ~ empty(X0)
      | ~ empty(X1) ),
    inference(resolution,[],[f502,f496]) ).

fof(f611,plain,
    ! [X0,X1] :
      ( sK4(powerset(X1)) = sK4(powerset(sK4(powerset(X0))))
      | ~ empty(X0)
      | ~ empty(X1) ),
    inference(resolution,[],[f502,f352]) ).

fof(f610,plain,
    ! [X2,X0,X1] :
      ( sK4(powerset(X1)) = sK4(powerset(sK4(powerset(X0))))
      | ~ empty(X0)
      | ordinal_subset(X2,X1)
      | ~ empty(X2)
      | ~ ordinal(X1) ),
    inference(resolution,[],[f502,f489]) ).

fof(f502,plain,
    ! [X0,X1] :
      ( ~ empty(X1)
      | sK4(powerset(sK4(powerset(X0)))) = X1
      | ~ empty(X0) ),
    inference(resolution,[],[f496,f215]) ).

fof(f590,plain,
    ! [X0] :
      ( empty_set = sK4(powerset(sK4(powerset(sK4(powerset(sK4(powerset(sK4(powerset(X0))))))))))
      | ~ empty(X0) ),
    inference(resolution,[],[f403,f496]) ).

fof(f589,plain,
    ! [X0] :
      ( empty_set = sK4(powerset(sK4(powerset(sK4(powerset(sK4(powerset(X0))))))))
      | ~ empty(X0) ),
    inference(resolution,[],[f403,f352]) ).

fof(f588,plain,
    ! [X0,X1] :
      ( empty_set = sK4(powerset(sK4(powerset(sK4(powerset(sK4(powerset(X0))))))))
      | ordinal_subset(X1,X0)
      | ~ empty(X1)
      | ~ ordinal(X0) ),
    inference(resolution,[],[f403,f489]) ).

fof(f403,plain,
    ! [X0] :
      ( ~ empty(X0)
      | empty_set = sK4(powerset(sK4(powerset(sK4(powerset(X0)))))) ),
    inference(resolution,[],[f356,f352]) ).

fof(f579,plain,
    ! [X2,X0,X1] :
      ( ordinal_subset(X0,X1)
      | ~ empty(X0)
      | ~ ordinal(X1)
      | sK4(powerset(X1)) = sK4(powerset(X2))
      | ~ empty(X2) ),
    inference(resolution,[],[f489,f353]) ).

fof(f578,plain,
    ! [X0,X1] :
      ( ordinal_subset(X0,X1)
      | ~ empty(X0)
      | ~ ordinal(X1)
      | empty_set = sK4(powerset(sK4(powerset(sK4(powerset(X1)))))) ),
    inference(resolution,[],[f489,f356]) ).

fof(f577,plain,
    ! [X2,X0,X1] :
      ( ordinal_subset(X0,X1)
      | ~ empty(X0)
      | ~ ordinal(X1)
      | ~ empty(X2)
      | sK4(powerset(sK4(powerset(X1)))) = sK4(powerset(X2)) ),
    inference(resolution,[],[f489,f393]) ).

fof(f489,plain,
    ! [X0,X1] :
      ( empty(sK4(powerset(X0)))
      | ordinal_subset(X1,X0)
      | ~ empty(X1)
      | ~ ordinal(X0) ),
    inference(resolution,[],[f466,f459]) ).

fof(f563,plain,
    ! [X0,X1] :
      ( ~ empty(X0)
      | sK4(powerset(X0)) = sK4(powerset(sK4(powerset(sK4(powerset(X1))))))
      | ~ empty(X1) ),
    inference(resolution,[],[f393,f496]) ).

fof(f562,plain,
    ! [X0,X1] :
      ( ~ empty(X0)
      | sK4(powerset(X0)) = sK4(powerset(sK4(powerset(X1))))
      | ~ empty(X1) ),
    inference(resolution,[],[f393,f352]) ).

fof(f393,plain,
    ! [X0,X1] :
      ( ~ empty(X1)
      | ~ empty(X0)
      | sK4(powerset(X0)) = sK4(powerset(X1)) ),
    inference(resolution,[],[f353,f352]) ).

fof(f423,plain,
    ! [X0] :
      ( ordinal_subset(sK4(powerset(X0)),X0)
      | ~ ordinal(X0)
      | ~ ordinal(sK4(powerset(X0))) ),
    inference(resolution,[],[f210,f323]) ).

fof(f556,plain,
    ! [X0] :
      ( ~ ordinal(powerset(X0))
      | being_limit_ordinal(powerset(X0))
      | sK3(powerset(X0)) = X0
      | proper_subset(sK3(powerset(X0)),X0) ),
    inference(resolution,[],[f337,f212]) ).

fof(f555,plain,
    ! [X0,X1] :
      ( ~ ordinal(powerset(X0))
      | being_limit_ordinal(powerset(X0))
      | ~ in(X1,sK3(powerset(X0)))
      | ~ empty(X0) ),
    inference(resolution,[],[f337,f349]) ).

fof(f553,plain,
    ! [X0,X1] :
      ( ~ ordinal(powerset(X0))
      | being_limit_ordinal(powerset(X0))
      | ~ in(X1,sK3(powerset(X0)))
      | element(X1,X0) ),
    inference(resolution,[],[f337,f428]) ).

fof(f337,plain,
    ! [X0] :
      ( subset(sK3(powerset(X0)),X0)
      | ~ ordinal(powerset(X0))
      | being_limit_ordinal(powerset(X0)) ),
    inference(resolution,[],[f183,f324]) ).

fof(f521,plain,
    ! [X0,X1] :
      ( ordinal_subset(X1,succ(X0))
      | ~ ordinal(X1)
      | ~ ordinal(X0)
      | in(X0,X1) ),
    inference(subsumption_resolution,[],[f516,f180]) ).

fof(f516,plain,
    ! [X0,X1] :
      ( in(X0,X1)
      | ~ ordinal(X1)
      | ~ ordinal(X0)
      | ordinal_subset(X1,succ(X0))
      | ~ ordinal(succ(X0)) ),
    inference(duplicate_literal_removal,[],[f511]) ).

fof(f511,plain,
    ! [X0,X1] :
      ( in(X0,X1)
      | ~ ordinal(X1)
      | ~ ordinal(X0)
      | ordinal_subset(X1,succ(X0))
      | ~ ordinal(X1)
      | ~ ordinal(succ(X0)) ),
    inference(resolution,[],[f186,f208]) ).

fof(f546,plain,
    ! [X0] :
      ( ~ being_limit_ordinal(succ(X0))
      | ~ ordinal(X0) ),
    inference(subsumption_resolution,[],[f545,f180]) ).

fof(f545,plain,
    ! [X0] :
      ( ~ ordinal(succ(X0))
      | ~ being_limit_ordinal(succ(X0))
      | ~ ordinal(X0) ),
    inference(subsumption_resolution,[],[f544,f171]) ).

fof(f544,plain,
    ! [X0] :
      ( ~ ordinal(succ(X0))
      | ~ being_limit_ordinal(succ(X0))
      | ~ in(X0,succ(X0))
      | ~ ordinal(X0) ),
    inference(duplicate_literal_removal,[],[f543]) ).

fof(f543,plain,
    ! [X0] :
      ( ~ ordinal(succ(X0))
      | ~ being_limit_ordinal(succ(X0))
      | ~ in(X0,succ(X0))
      | ~ ordinal(X0)
      | ~ being_limit_ordinal(succ(X0))
      | ~ ordinal(succ(X0)) ),
    inference(resolution,[],[f538,f181]) ).

fof(f538,plain,
    ! [X0] :
      ( ~ in(X0,X0)
      | ~ ordinal(X0)
      | ~ being_limit_ordinal(X0) ),
    inference(duplicate_literal_removal,[],[f523]) ).

fof(f523,plain,
    ! [X0] :
      ( ~ in(X0,X0)
      | ~ ordinal(X0)
      | ~ being_limit_ordinal(X0)
      | ~ ordinal(X0) ),
    inference(resolution,[],[f181,f281]) ).

fof(f535,plain,
    ! [X0] :
      ( ~ in(X0,sK4(sK4(powerset(succ(X0)))))
      | ~ ordinal(X0)
      | ~ being_limit_ordinal(sK4(sK4(powerset(succ(X0)))))
      | ~ ordinal(sK4(sK4(powerset(succ(X0)))))
      | empty(sK4(powerset(succ(X0)))) ),
    inference(resolution,[],[f181,f490]) ).

fof(f541,plain,
    ! [X0] :
      ( ~ in(X0,sK4(succ(X0)))
      | ~ ordinal(X0)
      | ~ being_limit_ordinal(sK4(succ(X0)))
      | ~ ordinal(sK4(succ(X0))) ),
    inference(subsumption_resolution,[],[f532,f170]) ).

fof(f532,plain,
    ! [X0] :
      ( ~ in(X0,sK4(succ(X0)))
      | ~ ordinal(X0)
      | ~ being_limit_ordinal(sK4(succ(X0)))
      | ~ ordinal(sK4(succ(X0)))
      | empty(succ(X0)) ),
    inference(resolution,[],[f181,f343]) ).

fof(f540,plain,
    ! [X0] :
      ( ~ in(X0,sK3(succ(X0)))
      | ~ ordinal(X0)
      | ~ being_limit_ordinal(sK3(succ(X0)))
      | being_limit_ordinal(succ(X0)) ),
    inference(subsumption_resolution,[],[f539,f180]) ).

fof(f539,plain,
    ! [X0] :
      ( ~ in(X0,sK3(succ(X0)))
      | ~ ordinal(X0)
      | ~ being_limit_ordinal(sK3(succ(X0)))
      | ~ ordinal(succ(X0))
      | being_limit_ordinal(succ(X0)) ),
    inference(subsumption_resolution,[],[f531,f182]) ).

fof(f531,plain,
    ! [X0] :
      ( ~ in(X0,sK3(succ(X0)))
      | ~ ordinal(X0)
      | ~ being_limit_ordinal(sK3(succ(X0)))
      | ~ ordinal(sK3(succ(X0)))
      | ~ ordinal(succ(X0))
      | being_limit_ordinal(succ(X0)) ),
    inference(resolution,[],[f181,f335]) ).

fof(f181,plain,
    ! [X2,X0] :
      ( in(succ(X2),X0)
      | ~ in(X2,X0)
      | ~ ordinal(X2)
      | ~ being_limit_ordinal(X0)
      | ~ ordinal(X0) ),
    inference(cnf_transformation,[],[f123]) ).

fof(f123,plain,
    ! [X0] :
      ( ( ( being_limit_ordinal(X0)
          | ( ~ in(succ(sK3(X0)),X0)
            & in(sK3(X0),X0)
            & ordinal(sK3(X0)) ) )
        & ( ! [X2] :
              ( in(succ(X2),X0)
              | ~ in(X2,X0)
              | ~ ordinal(X2) )
          | ~ being_limit_ordinal(X0) ) )
      | ~ ordinal(X0) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK3])],[f121,f122]) ).

fof(f122,plain,
    ! [X0] :
      ( ? [X1] :
          ( ~ in(succ(X1),X0)
          & in(X1,X0)
          & ordinal(X1) )
     => ( ~ in(succ(sK3(X0)),X0)
        & in(sK3(X0),X0)
        & ordinal(sK3(X0)) ) ),
    introduced(choice_axiom,[]) ).

fof(f121,plain,
    ! [X0] :
      ( ( ( being_limit_ordinal(X0)
          | ? [X1] :
              ( ~ in(succ(X1),X0)
              & in(X1,X0)
              & ordinal(X1) ) )
        & ( ! [X2] :
              ( in(succ(X2),X0)
              | ~ in(X2,X0)
              | ~ ordinal(X2) )
          | ~ being_limit_ordinal(X0) ) )
      | ~ ordinal(X0) ),
    inference(rectify,[],[f120]) ).

fof(f120,plain,
    ! [X0] :
      ( ( ( being_limit_ordinal(X0)
          | ? [X1] :
              ( ~ in(succ(X1),X0)
              & in(X1,X0)
              & ordinal(X1) ) )
        & ( ! [X1] :
              ( in(succ(X1),X0)
              | ~ in(X1,X0)
              | ~ ordinal(X1) )
          | ~ being_limit_ordinal(X0) ) )
      | ~ ordinal(X0) ),
    inference(nnf_transformation,[],[f80]) ).

fof(f80,plain,
    ! [X0] :
      ( ( being_limit_ordinal(X0)
      <=> ! [X1] :
            ( in(succ(X1),X0)
            | ~ in(X1,X0)
            | ~ ordinal(X1) ) )
      | ~ ordinal(X0) ),
    inference(flattening,[],[f79]) ).

fof(f79,plain,
    ! [X0] :
      ( ( being_limit_ordinal(X0)
      <=> ! [X1] :
            ( in(succ(X1),X0)
            | ~ in(X1,X0)
            | ~ ordinal(X1) ) )
      | ~ ordinal(X0) ),
    inference(ennf_transformation,[],[f53]) ).

fof(f53,axiom,
    ! [X0] :
      ( ordinal(X0)
     => ( being_limit_ordinal(X0)
      <=> ! [X1] :
            ( ordinal(X1)
           => ( in(X1,X0)
             => in(succ(X1),X0) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t41_ordinal1) ).

fof(f522,plain,
    ! [X0,X1] :
      ( in(X0,X1)
      | ~ ordinal(X1)
      | ~ ordinal(X0)
      | ordinal_subset(X1,succ(X0)) ),
    inference(subsumption_resolution,[],[f515,f180]) ).

fof(f515,plain,
    ! [X0,X1] :
      ( in(X0,X1)
      | ~ ordinal(X1)
      | ~ ordinal(X0)
      | ordinal_subset(X1,succ(X0))
      | ~ ordinal(succ(X0)) ),
    inference(duplicate_literal_removal,[],[f512]) ).

fof(f512,plain,
    ! [X0,X1] :
      ( in(X0,X1)
      | ~ ordinal(X1)
      | ~ ordinal(X0)
      | ordinal_subset(X1,succ(X0))
      | ~ ordinal(succ(X0))
      | ~ ordinal(X1) ),
    inference(resolution,[],[f186,f208]) ).

fof(f186,plain,
    ! [X0,X1] :
      ( ~ ordinal_subset(succ(X0),X1)
      | in(X0,X1)
      | ~ ordinal(X1)
      | ~ ordinal(X0) ),
    inference(cnf_transformation,[],[f124]) ).

fof(f124,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( ( in(X0,X1)
              | ~ ordinal_subset(succ(X0),X1) )
            & ( ordinal_subset(succ(X0),X1)
              | ~ in(X0,X1) ) )
          | ~ ordinal(X1) )
      | ~ ordinal(X0) ),
    inference(nnf_transformation,[],[f81]) ).

fof(f81,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( in(X0,X1)
          <=> ordinal_subset(succ(X0),X1) )
          | ~ ordinal(X1) )
      | ~ ordinal(X0) ),
    inference(ennf_transformation,[],[f51]) ).

fof(f51,axiom,
    ! [X0] :
      ( ordinal(X0)
     => ! [X1] :
          ( ordinal(X1)
         => ( in(X0,X1)
          <=> ordinal_subset(succ(X0),X1) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t33_ordinal1) ).

fof(f490,plain,
    ! [X0] :
      ( ~ in(X0,sK4(sK4(powerset(X0))))
      | empty(sK4(powerset(X0))) ),
    inference(resolution,[],[f466,f205]) ).

fof(f501,plain,
    ! [X0] :
      ( ~ empty(X0)
      | empty_set = sK4(powerset(sK4(powerset(sK4(powerset(X0)))))) ),
    inference(resolution,[],[f496,f354]) ).

fof(f496,plain,
    ! [X0] :
      ( empty(sK4(powerset(sK4(powerset(X0)))))
      | ~ empty(X0) ),
    inference(resolution,[],[f466,f348]) ).

fof(f494,plain,
    ! [X0] :
      ( empty(sK4(powerset(powerset(X0))))
      | subset(sK4(sK4(powerset(powerset(X0)))),X0) ),
    inference(resolution,[],[f466,f324]) ).

fof(f493,plain,
    ! [X0,X1] :
      ( empty(sK4(powerset(powerset(X0))))
      | ~ in(X1,sK4(sK4(powerset(powerset(X0)))))
      | ~ empty(X0) ),
    inference(resolution,[],[f466,f350]) ).

fof(f492,plain,
    ! [X0,X1] :
      ( empty(sK4(powerset(powerset(X0))))
      | ~ in(X1,sK4(sK4(powerset(powerset(X0)))))
      | element(X1,X0) ),
    inference(resolution,[],[f466,f429]) ).

fof(f466,plain,
    ! [X0] :
      ( in(sK4(sK4(powerset(X0))),X0)
      | empty(sK4(powerset(X0))) ),
    inference(subsumption_resolution,[],[f464,f352]) ).

fof(f464,plain,
    ! [X0] :
      ( empty(sK4(powerset(X0)))
      | empty(X0)
      | in(sK4(sK4(powerset(X0))),X0) ),
    inference(resolution,[],[f432,f204]) ).

fof(f476,plain,
    ! [X0,X1] :
      ( ordinal_subset(X1,X0)
      | ~ empty(X1)
      | ~ ordinal(X0)
      | being_limit_ordinal(X0) ),
    inference(duplicate_literal_removal,[],[f474]) ).

fof(f474,plain,
    ! [X0,X1] :
      ( ~ ordinal(X0)
      | ~ empty(X1)
      | ordinal_subset(X1,X0)
      | being_limit_ordinal(X0)
      | ~ ordinal(X0) ),
    inference(resolution,[],[f459,f183]) ).

fof(f475,plain,
    ! [X0,X1] :
      ( ordinal_subset(X1,X0)
      | ~ empty(X1)
      | ~ ordinal(X0)
      | empty(X0) ),
    inference(resolution,[],[f459,f340]) ).

fof(f471,plain,
    ! [X0,X1] :
      ( ordinal_subset(X1,succ(X0))
      | ~ empty(X1)
      | ~ ordinal(succ(X0)) ),
    inference(resolution,[],[f459,f171]) ).

fof(f472,plain,
    ! [X2,X0,X1] :
      ( ~ ordinal(powerset(X0))
      | ~ empty(X1)
      | ordinal_subset(X1,powerset(X0))
      | empty(powerset(X0))
      | ~ subset(X2,X0) ),
    inference(resolution,[],[f459,f342]) ).

fof(f459,plain,
    ! [X2,X0,X1] :
      ( ~ in(X1,X0)
      | ~ ordinal(X0)
      | ~ empty(X2)
      | ordinal_subset(X2,X0) ),
    inference(subsumption_resolution,[],[f457,f192]) ).

fof(f457,plain,
    ! [X2,X0,X1] :
      ( ~ ordinal(X0)
      | ~ in(X1,X0)
      | ~ empty(X2)
      | ordinal_subset(X2,X0)
      | ~ ordinal(X2) ),
    inference(duplicate_literal_removal,[],[f454]) ).

fof(f454,plain,
    ! [X2,X0,X1] :
      ( ~ ordinal(X0)
      | ~ in(X1,X0)
      | ~ empty(X2)
      | ordinal_subset(X2,X0)
      | ~ ordinal(X2)
      | ~ ordinal(X0) ),
    inference(resolution,[],[f421,f208]) ).

fof(f185,plain,
    ! [X0,X1] :
      ( ordinal_subset(succ(X0),X1)
      | ~ in(X0,X1)
      | ~ ordinal(X1)
      | ~ ordinal(X0) ),
    inference(cnf_transformation,[],[f124]) ).

fof(f450,plain,
    ! [X0] :
      ( ~ proper_subset(X0,sK4(powerset(X0)))
      | sK4(powerset(X0)) = X0 ),
    inference(resolution,[],[f347,f203]) ).

fof(f439,plain,
    ! [X0,X1] :
      ( ~ in(powerset(X0),X1)
      | ~ subset(X1,X0)
      | empty(powerset(X0)) ),
    inference(resolution,[],[f342,f205]) ).

fof(f432,plain,
    ! [X0] :
      ( element(sK4(sK4(powerset(X0))),X0)
      | empty(sK4(powerset(X0))) ),
    inference(resolution,[],[f427,f340]) ).

fof(f460,plain,
    ! [X2,X0,X1] :
      ( ~ ordinal(X0)
      | ~ in(X1,X0)
      | ~ empty(X2)
      | ordinal_subset(X2,X0) ),
    inference(subsumption_resolution,[],[f456,f192]) ).

fof(f456,plain,
    ! [X2,X0,X1] :
      ( ~ ordinal(X0)
      | ~ in(X1,X0)
      | ~ empty(X2)
      | ordinal_subset(X2,X0)
      | ~ ordinal(X2) ),
    inference(duplicate_literal_removal,[],[f455]) ).

fof(f455,plain,
    ! [X2,X0,X1] :
      ( ~ ordinal(X0)
      | ~ in(X1,X0)
      | ~ empty(X2)
      | ordinal_subset(X2,X0)
      | ~ ordinal(X0)
      | ~ ordinal(X2) ),
    inference(resolution,[],[f421,f208]) ).

fof(f421,plain,
    ! [X2,X0,X1] :
      ( ~ ordinal_subset(X0,X1)
      | ~ ordinal(X0)
      | ~ in(X2,X0)
      | ~ empty(X1) ),
    inference(subsumption_resolution,[],[f419,f192]) ).

fof(f419,plain,
    ! [X2,X0,X1] :
      ( ~ ordinal_subset(X0,X1)
      | ~ ordinal(X1)
      | ~ ordinal(X0)
      | ~ in(X2,X0)
      | ~ empty(X1) ),
    inference(resolution,[],[f209,f349]) ).

fof(f351,plain,
    ! [X0] :
      ( being_limit_ordinal(sK4(powerset(X0)))
      | ~ empty(X0)
      | ~ ordinal(sK4(powerset(X0))) ),
    inference(resolution,[],[f348,f183]) ).

fof(f449,plain,
    ! [X0] :
      ( sK4(powerset(X0)) = X0
      | in(sK4(powerset(X0)),X0)
      | ~ ordinal(X0)
      | ~ epsilon_transitive(sK4(powerset(X0))) ),
    inference(resolution,[],[f347,f174]) ).

fof(f347,plain,
    ! [X0] :
      ( proper_subset(sK4(powerset(X0)),X0)
      | sK4(powerset(X0)) = X0 ),
    inference(resolution,[],[f212,f323]) ).

fof(f429,plain,
    ! [X2,X0,X1] :
      ( ~ in(X2,powerset(X1))
      | ~ in(X0,X2)
      | element(X0,X1) ),
    inference(resolution,[],[f217,f206]) ).

fof(f441,plain,
    ! [X0] :
      ( ~ subset(succ(powerset(X0)),X0)
      | empty(powerset(X0)) ),
    inference(resolution,[],[f342,f281]) ).

fof(f342,plain,
    ! [X0,X1] :
      ( in(X1,powerset(X0))
      | empty(powerset(X0))
      | ~ subset(X1,X0) ),
    inference(resolution,[],[f204,f214]) ).

fof(f428,plain,
    ! [X2,X0,X1] :
      ( ~ subset(X2,X1)
      | ~ in(X0,X2)
      | element(X0,X1) ),
    inference(resolution,[],[f217,f214]) ).

fof(f427,plain,
    ! [X0,X1] :
      ( ~ in(X0,sK4(powerset(X1)))
      | element(X0,X1) ),
    inference(resolution,[],[f217,f196]) ).

fof(f217,plain,
    ! [X2,X0,X1] :
      ( ~ element(X1,powerset(X2))
      | element(X0,X2)
      | ~ in(X0,X1) ),
    inference(cnf_transformation,[],[f110]) ).

fof(f110,plain,
    ! [X0,X1,X2] :
      ( element(X0,X2)
      | ~ element(X1,powerset(X2))
      | ~ in(X0,X1) ),
    inference(flattening,[],[f109]) ).

fof(f109,plain,
    ! [X0,X1,X2] :
      ( element(X0,X2)
      | ~ element(X1,powerset(X2))
      | ~ in(X0,X1) ),
    inference(ennf_transformation,[],[f56]) ).

fof(f56,axiom,
    ! [X0,X1,X2] :
      ( ( element(X1,powerset(X2))
        & in(X0,X1) )
     => element(X0,X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t4_subset) ).

fof(f210,plain,
    ! [X0,X1] :
      ( ~ subset(X0,X1)
      | ordinal_subset(X0,X1)
      | ~ ordinal(X1)
      | ~ ordinal(X0) ),
    inference(cnf_transformation,[],[f127]) ).

fof(f127,plain,
    ! [X0,X1] :
      ( ( ( ordinal_subset(X0,X1)
          | ~ subset(X0,X1) )
        & ( subset(X0,X1)
          | ~ ordinal_subset(X0,X1) ) )
      | ~ ordinal(X1)
      | ~ ordinal(X0) ),
    inference(nnf_transformation,[],[f102]) ).

fof(f102,plain,
    ! [X0,X1] :
      ( ( ordinal_subset(X0,X1)
      <=> subset(X0,X1) )
      | ~ ordinal(X1)
      | ~ ordinal(X0) ),
    inference(flattening,[],[f101]) ).

fof(f101,plain,
    ! [X0,X1] :
      ( ( ordinal_subset(X0,X1)
      <=> subset(X0,X1) )
      | ~ ordinal(X1)
      | ~ ordinal(X0) ),
    inference(ennf_transformation,[],[f43]) ).

fof(f43,axiom,
    ! [X0,X1] :
      ( ( ordinal(X1)
        & ordinal(X0) )
     => ( ordinal_subset(X0,X1)
      <=> subset(X0,X1) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_r1_ordinal1) ).

fof(f209,plain,
    ! [X0,X1] :
      ( subset(X0,X1)
      | ~ ordinal_subset(X0,X1)
      | ~ ordinal(X1)
      | ~ ordinal(X0) ),
    inference(cnf_transformation,[],[f127]) ).

fof(f208,plain,
    ! [X0,X1] :
      ( ordinal_subset(X1,X0)
      | ordinal_subset(X0,X1)
      | ~ ordinal(X1)
      | ~ ordinal(X0) ),
    inference(cnf_transformation,[],[f100]) ).

fof(f100,plain,
    ! [X0,X1] :
      ( ordinal_subset(X1,X0)
      | ordinal_subset(X0,X1)
      | ~ ordinal(X1)
      | ~ ordinal(X0) ),
    inference(flattening,[],[f99]) ).

fof(f99,plain,
    ! [X0,X1] :
      ( ordinal_subset(X1,X0)
      | ordinal_subset(X0,X1)
      | ~ ordinal(X1)
      | ~ ordinal(X0) ),
    inference(ennf_transformation,[],[f10]) ).

fof(f10,axiom,
    ! [X0,X1] :
      ( ( ordinal(X1)
        & ordinal(X0) )
     => ( ordinal_subset(X1,X0)
        | ordinal_subset(X0,X1) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',connectedness_r1_ordinal1) ).

fof(f356,plain,
    ! [X0] :
      ( ~ empty(X0)
      | empty_set = sK4(powerset(sK4(powerset(X0)))) ),
    inference(resolution,[],[f354,f352]) ).

fof(f353,plain,
    ! [X0,X1] :
      ( ~ empty(X1)
      | sK4(powerset(X0)) = X1
      | ~ empty(X0) ),
    inference(resolution,[],[f352,f215]) ).

fof(f350,plain,
    ! [X2,X0,X1] :
      ( ~ in(X2,powerset(X0))
      | ~ in(X1,X2)
      | ~ empty(X0) ),
    inference(resolution,[],[f218,f206]) ).

fof(f349,plain,
    ! [X2,X0,X1] :
      ( ~ subset(X2,X0)
      | ~ in(X1,X2)
      | ~ empty(X0) ),
    inference(resolution,[],[f218,f214]) ).

fof(f174,plain,
    ! [X0,X1] :
      ( ~ proper_subset(X0,X1)
      | in(X0,X1)
      | ~ ordinal(X1)
      | ~ epsilon_transitive(X0) ),
    inference(cnf_transformation,[],[f76]) ).

fof(f76,plain,
    ! [X0] :
      ( ! [X1] :
          ( in(X0,X1)
          | ~ proper_subset(X0,X1)
          | ~ ordinal(X1) )
      | ~ epsilon_transitive(X0) ),
    inference(flattening,[],[f75]) ).

fof(f75,plain,
    ! [X0] :
      ( ! [X1] :
          ( in(X0,X1)
          | ~ proper_subset(X0,X1)
          | ~ ordinal(X1) )
      | ~ epsilon_transitive(X0) ),
    inference(ennf_transformation,[],[f49]) ).

fof(f49,axiom,
    ! [X0] :
      ( epsilon_transitive(X0)
     => ! [X1] :
          ( ordinal(X1)
         => ( proper_subset(X0,X1)
           => in(X0,X1) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t21_ordinal1) ).

fof(f368,plain,
    ( ~ in(powerset(empty_set),empty_set)
    | empty(powerset(empty_set)) ),
    inference(superposition,[],[f343,f355]) ).

fof(f373,plain,
    ( empty(powerset(empty_set))
    | in(empty_set,powerset(empty_set)) ),
    inference(resolution,[],[f370,f204]) ).

fof(f370,plain,
    element(empty_set,powerset(empty_set)),
    inference(superposition,[],[f196,f355]) ).

fof(f369,plain,
    ( in(empty_set,powerset(empty_set))
    | empty(powerset(empty_set)) ),
    inference(superposition,[],[f340,f355]) ).

fof(f355,plain,
    empty_set = sK4(powerset(empty_set)),
    inference(resolution,[],[f354,f159]) ).

fof(f364,plain,
    empty_set = sK4(powerset(empty_set)),
    inference(forward_demodulation,[],[f360,f262]) ).

fof(f360,plain,
    empty_set = sK4(powerset(sK16)),
    inference(resolution,[],[f354,f246]) ).

fof(f363,plain,
    empty_set = sK4(powerset(empty_set)),
    inference(forward_demodulation,[],[f359,f261]) ).

fof(f359,plain,
    empty_set = sK4(powerset(sK15)),
    inference(resolution,[],[f354,f241]) ).

fof(f362,plain,
    empty_set = sK4(powerset(empty_set)),
    inference(forward_demodulation,[],[f358,f260]) ).

fof(f358,plain,
    empty_set = sK4(powerset(sK10)),
    inference(resolution,[],[f354,f230]) ).

fof(f361,plain,
    empty_set = sK4(powerset(empty_set)),
    inference(forward_demodulation,[],[f357,f259]) ).

fof(f357,plain,
    empty_set = sK4(powerset(sK6)),
    inference(resolution,[],[f354,f220]) ).

fof(f354,plain,
    ! [X0] :
      ( ~ empty(X0)
      | empty_set = sK4(powerset(X0)) ),
    inference(resolution,[],[f352,f189]) ).

fof(f352,plain,
    ! [X0] :
      ( empty(sK4(powerset(X0)))
      | ~ empty(X0) ),
    inference(resolution,[],[f348,f340]) ).

fof(f348,plain,
    ! [X0,X1] :
      ( ~ in(X1,sK4(powerset(X0)))
      | ~ empty(X0) ),
    inference(resolution,[],[f218,f196]) ).

fof(f218,plain,
    ! [X2,X0,X1] :
      ( ~ element(X1,powerset(X2))
      | ~ empty(X2)
      | ~ in(X0,X1) ),
    inference(cnf_transformation,[],[f111]) ).

fof(f111,plain,
    ! [X0,X1,X2] :
      ( ~ empty(X2)
      | ~ element(X1,powerset(X2))
      | ~ in(X0,X1) ),
    inference(ennf_transformation,[],[f57]) ).

fof(f57,axiom,
    ! [X0,X1,X2] :
      ~ ( empty(X2)
        & element(X1,powerset(X2))
        & in(X0,X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t5_subset) ).

fof(f212,plain,
    ! [X0,X1] :
      ( ~ subset(X0,X1)
      | X0 = X1
      | proper_subset(X0,X1) ),
    inference(cnf_transformation,[],[f106]) ).

fof(f106,plain,
    ! [X0,X1] :
      ( proper_subset(X0,X1)
      | X0 = X1
      | ~ subset(X0,X1) ),
    inference(flattening,[],[f105]) ).

fof(f105,plain,
    ! [X0,X1] :
      ( proper_subset(X0,X1)
      | X0 = X1
      | ~ subset(X0,X1) ),
    inference(ennf_transformation,[],[f65]) ).

fof(f65,plain,
    ! [X0,X1] :
      ( ( X0 != X1
        & subset(X0,X1) )
     => proper_subset(X0,X1) ),
    inference(unused_predicate_definition_removal,[],[f12]) ).

fof(f12,axiom,
    ! [X0,X1] :
      ( proper_subset(X0,X1)
    <=> ( X0 != X1
        & subset(X0,X1) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',d8_xboole_0) ).

fof(f184,plain,
    ! [X0] :
      ( ~ in(succ(sK3(X0)),X0)
      | being_limit_ordinal(X0)
      | ~ ordinal(X0) ),
    inference(cnf_transformation,[],[f123]) ).

fof(f335,plain,
    ! [X0] :
      ( ~ in(X0,sK3(X0))
      | ~ ordinal(X0)
      | being_limit_ordinal(X0) ),
    inference(resolution,[],[f183,f205]) ).

fof(f343,plain,
    ! [X0] :
      ( ~ in(X0,sK4(X0))
      | empty(X0) ),
    inference(resolution,[],[f340,f205]) ).

fof(f340,plain,
    ! [X0] :
      ( in(sK4(X0),X0)
      | empty(X0) ),
    inference(resolution,[],[f204,f196]) ).

fof(f204,plain,
    ! [X0,X1] :
      ( ~ element(X0,X1)
      | empty(X1)
      | in(X0,X1) ),
    inference(cnf_transformation,[],[f94]) ).

fof(f94,plain,
    ! [X0,X1] :
      ( in(X0,X1)
      | empty(X1)
      | ~ element(X0,X1) ),
    inference(flattening,[],[f93]) ).

fof(f93,plain,
    ! [X0,X1] :
      ( in(X0,X1)
      | empty(X1)
      | ~ element(X0,X1) ),
    inference(ennf_transformation,[],[f50]) ).

fof(f50,axiom,
    ! [X0,X1] :
      ( element(X0,X1)
     => ( in(X0,X1)
        | empty(X1) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t2_subset) ).

fof(f338,plain,
    ! [X0] :
      ( being_limit_ordinal(X0)
      | ~ empty(X0) ),
    inference(subsumption_resolution,[],[f336,f192]) ).

fof(f336,plain,
    ! [X0] :
      ( being_limit_ordinal(X0)
      | ~ ordinal(X0)
      | ~ empty(X0) ),
    inference(resolution,[],[f183,f216]) ).

fof(f183,plain,
    ! [X0] :
      ( in(sK3(X0),X0)
      | being_limit_ordinal(X0)
      | ~ ordinal(X0) ),
    inference(cnf_transformation,[],[f123]) ).

fof(f324,plain,
    ! [X0,X1] :
      ( ~ in(X0,powerset(X1))
      | subset(X0,X1) ),
    inference(resolution,[],[f213,f206]) ).

fof(f215,plain,
    ! [X0,X1] :
      ( ~ empty(X1)
      | X0 = X1
      | ~ empty(X0) ),
    inference(cnf_transformation,[],[f107]) ).

fof(f107,plain,
    ! [X0,X1] :
      ( ~ empty(X1)
      | X0 = X1
      | ~ empty(X0) ),
    inference(ennf_transformation,[],[f60]) ).

fof(f60,axiom,
    ! [X0,X1] :
      ~ ( empty(X1)
        & X0 != X1
        & empty(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t8_boole) ).

fof(f214,plain,
    ! [X0,X1] :
      ( element(X0,powerset(X1))
      | ~ subset(X0,X1) ),
    inference(cnf_transformation,[],[f128]) ).

fof(f128,plain,
    ! [X0,X1] :
      ( ( element(X0,powerset(X1))
        | ~ subset(X0,X1) )
      & ( subset(X0,X1)
        | ~ element(X0,powerset(X1)) ) ),
    inference(nnf_transformation,[],[f52]) ).

fof(f52,axiom,
    ! [X0,X1] :
      ( element(X0,powerset(X1))
    <=> subset(X0,X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t3_subset) ).

fof(f323,plain,
    ! [X0] : subset(sK4(powerset(X0)),X0),
    inference(resolution,[],[f213,f196]) ).

fof(f213,plain,
    ! [X0,X1] :
      ( ~ element(X0,powerset(X1))
      | subset(X0,X1) ),
    inference(cnf_transformation,[],[f128]) ).

fof(f207,plain,
    ! [X0,X1] :
      ( ordinal_subset(X0,X0)
      | ~ ordinal(X1)
      | ~ ordinal(X0) ),
    inference(cnf_transformation,[],[f98]) ).

fof(f98,plain,
    ! [X0,X1] :
      ( ordinal_subset(X0,X0)
      | ~ ordinal(X1)
      | ~ ordinal(X0) ),
    inference(flattening,[],[f97]) ).

fof(f97,plain,
    ! [X0,X1] :
      ( ordinal_subset(X0,X0)
      | ~ ordinal(X1)
      | ~ ordinal(X0) ),
    inference(ennf_transformation,[],[f44]) ).

fof(f44,axiom,
    ! [X0,X1] :
      ( ( ordinal(X1)
        & ordinal(X0) )
     => ordinal_subset(X0,X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',reflexivity_r1_ordinal1) ).

fof(f295,plain,
    succ(empty_set) = singleton(empty_set),
    inference(superposition,[],[f285,f173]) ).

fof(f300,plain,
    succ(empty_set) = singleton(empty_set),
    inference(superposition,[],[f173,f285]) ).

fof(f285,plain,
    ! [X0] : set_union2(empty_set,X0) = X0,
    inference(superposition,[],[f200,f172]) ).

fof(f292,plain,
    ! [X0] : set_union2(empty_set,X0) = X0,
    inference(superposition,[],[f172,f200]) ).

fof(f289,plain,
    ! [X0] : set_union2(empty_set,X0) = X0,
    inference(superposition,[],[f172,f200]) ).

fof(f286,plain,
    ! [X0] : set_union2(empty_set,X0) = X0,
    inference(superposition,[],[f200,f172]) ).

fof(f200,plain,
    ! [X0,X1] : set_union2(X0,X1) = set_union2(X1,X0),
    inference(cnf_transformation,[],[f9]) ).

fof(f9,axiom,
    ! [X0,X1] : set_union2(X0,X1) = set_union2(X1,X0),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',commutativity_k2_xboole_0) ).

fof(f182,plain,
    ! [X0] :
      ( ordinal(sK3(X0))
      | being_limit_ordinal(X0)
      | ~ ordinal(X0) ),
    inference(cnf_transformation,[],[f123]) ).

fof(f173,plain,
    ! [X0] : succ(X0) = set_union2(X0,singleton(X0)),
    inference(cnf_transformation,[],[f11]) ).

fof(f11,axiom,
    ! [X0] : succ(X0) = set_union2(X0,singleton(X0)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',d1_ordinal1) ).

fof(f154,plain,
    ! [X0] :
      ( ~ sP0(X0)
      | succ(sK1(X0)) = X0 ),
    inference(cnf_transformation,[],[f116]) ).

fof(f206,plain,
    ! [X0,X1] :
      ( element(X0,X1)
      | ~ in(X0,X1) ),
    inference(cnf_transformation,[],[f96]) ).

fof(f96,plain,
    ! [X0,X1] :
      ( element(X0,X1)
      | ~ in(X0,X1) ),
    inference(ennf_transformation,[],[f48]) ).

fof(f48,axiom,
    ! [X0,X1] :
      ( in(X0,X1)
     => element(X0,X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t1_subset) ).

fof(f281,plain,
    ! [X0] : ~ in(succ(X0),X0),
    inference(resolution,[],[f205,f171]) ).

fof(f205,plain,
    ! [X0,X1] :
      ( ~ in(X1,X0)
      | ~ in(X0,X1) ),
    inference(cnf_transformation,[],[f95]) ).

fof(f95,plain,
    ! [X0,X1] :
      ( ~ in(X1,X0)
      | ~ in(X0,X1) ),
    inference(ennf_transformation,[],[f1]) ).

fof(f1,axiom,
    ! [X0,X1] :
      ( in(X0,X1)
     => ~ in(X1,X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',antisymmetry_r2_hidden) ).

fof(f203,plain,
    ! [X0,X1] :
      ( ~ proper_subset(X1,X0)
      | ~ proper_subset(X0,X1) ),
    inference(cnf_transformation,[],[f92]) ).

fof(f92,plain,
    ! [X0,X1] :
      ( ~ proper_subset(X1,X0)
      | ~ proper_subset(X0,X1) ),
    inference(ennf_transformation,[],[f2]) ).

fof(f2,axiom,
    ! [X0,X1] :
      ( proper_subset(X0,X1)
     => ~ proper_subset(X1,X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',antisymmetry_r2_xboole_0) ).

fof(f202,plain,
    ! [X0,X1] :
      ( ~ empty(set_union2(X1,X0))
      | empty(X0) ),
    inference(cnf_transformation,[],[f91]) ).

fof(f91,plain,
    ! [X0,X1] :
      ( ~ empty(set_union2(X1,X0))
      | empty(X0) ),
    inference(ennf_transformation,[],[f27]) ).

fof(f27,axiom,
    ! [X0,X1] :
      ( ~ empty(X0)
     => ~ empty(set_union2(X1,X0)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc3_xboole_0) ).

fof(f201,plain,
    ! [X0,X1] :
      ( ~ empty(set_union2(X0,X1))
      | empty(X0) ),
    inference(cnf_transformation,[],[f90]) ).

fof(f90,plain,
    ! [X0,X1] :
      ( ~ empty(set_union2(X0,X1))
      | empty(X0) ),
    inference(ennf_transformation,[],[f25]) ).

fof(f25,axiom,
    ! [X0,X1] :
      ( ~ empty(X0)
     => ~ empty(set_union2(X0,X1)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc2_xboole_0) ).

fof(f193,plain,
    ! [X0] :
      ( ~ epsilon_connected(X0)
      | ordinal(X0)
      | ~ epsilon_transitive(X0) ),
    inference(cnf_transformation,[],[f87]) ).

fof(f87,plain,
    ! [X0] :
      ( ordinal(X0)
      | ~ epsilon_connected(X0)
      | ~ epsilon_transitive(X0) ),
    inference(flattening,[],[f86]) ).

fof(f86,plain,
    ! [X0] :
      ( ordinal(X0)
      | ~ epsilon_connected(X0)
      | ~ epsilon_transitive(X0) ),
    inference(ennf_transformation,[],[f7]) ).

fof(f7,axiom,
    ! [X0] :
      ( ( epsilon_connected(X0)
        & epsilon_transitive(X0) )
     => ordinal(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc2_ordinal1) ).

fof(f216,plain,
    ! [X0,X1] :
      ( ~ in(X0,X1)
      | ~ empty(X1) ),
    inference(cnf_transformation,[],[f108]) ).

fof(f108,plain,
    ! [X0,X1] :
      ( ~ empty(X1)
      | ~ in(X0,X1) ),
    inference(ennf_transformation,[],[f59]) ).

fof(f59,axiom,
    ! [X0,X1] :
      ~ ( empty(X1)
        & in(X0,X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t7_boole) ).

fof(f199,plain,
    ! [X0] : set_union2(X0,X0) = X0,
    inference(cnf_transformation,[],[f64]) ).

fof(f64,plain,
    ! [X0] : set_union2(X0,X0) = X0,
    inference(rectify,[],[f29]) ).

fof(f29,axiom,
    ! [X0,X1] : set_union2(X0,X0) = X0,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',idempotence_k2_xboole_0) ).

fof(f262,plain,
    empty_set = sK16,
    inference(resolution,[],[f189,f246]) ).

fof(f261,plain,
    empty_set = sK15,
    inference(resolution,[],[f189,f241]) ).

fof(f260,plain,
    empty_set = sK10,
    inference(resolution,[],[f189,f230]) ).

fof(f259,plain,
    empty_set = sK6,
    inference(resolution,[],[f189,f220]) ).

fof(f189,plain,
    ! [X0] :
      ( ~ empty(X0)
      | empty_set = X0 ),
    inference(cnf_transformation,[],[f84]) ).

fof(f84,plain,
    ! [X0] :
      ( empty_set = X0
      | ~ empty(X0) ),
    inference(ennf_transformation,[],[f58]) ).

fof(f58,axiom,
    ! [X0] :
      ( empty(X0)
     => empty_set = X0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t6_boole) ).

fof(f180,plain,
    ! [X0] :
      ( ordinal(succ(X0))
      | ~ ordinal(X0) ),
    inference(cnf_transformation,[],[f78]) ).

fof(f78,plain,
    ! [X0] :
      ( ( ordinal(succ(X0))
        & epsilon_connected(succ(X0))
        & epsilon_transitive(succ(X0))
        & ~ empty(succ(X0)) )
      | ~ ordinal(X0) ),
    inference(ennf_transformation,[],[f26]) ).

fof(f26,axiom,
    ! [X0] :
      ( ordinal(X0)
     => ( ordinal(succ(X0))
        & epsilon_connected(succ(X0))
        & epsilon_transitive(succ(X0))
        & ~ empty(succ(X0)) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc3_ordinal1) ).

fof(f179,plain,
    ! [X0] :
      ( epsilon_connected(succ(X0))
      | ~ ordinal(X0) ),
    inference(cnf_transformation,[],[f78]) ).

fof(f178,plain,
    ! [X0] :
      ( epsilon_transitive(succ(X0))
      | ~ ordinal(X0) ),
    inference(cnf_transformation,[],[f78]) ).

fof(f172,plain,
    ! [X0] : set_union2(X0,empty_set) = X0,
    inference(cnf_transformation,[],[f47]) ).

fof(f47,axiom,
    ! [X0] : set_union2(X0,empty_set) = X0,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t1_boole) ).

fof(f196,plain,
    ! [X0] : element(sK4(X0),X0),
    inference(cnf_transformation,[],[f126]) ).

fof(f126,plain,
    ! [X0] : element(sK4(X0),X0),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK4])],[f19,f125]) ).

fof(f125,plain,
    ! [X0] :
      ( ? [X1] : element(X1,X0)
     => element(sK4(X0),X0) ),
    introduced(choice_axiom,[]) ).

fof(f19,axiom,
    ! [X0] :
    ? [X1] : element(X1,X0),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',existence_m1_subset_1) ).

fof(f192,plain,
    ! [X0] :
      ( ordinal(X0)
      | ~ empty(X0) ),
    inference(cnf_transformation,[],[f85]) ).

fof(f85,plain,
    ! [X0] :
      ( ( ordinal(X0)
        & epsilon_connected(X0)
        & epsilon_transitive(X0) )
      | ~ empty(X0) ),
    inference(ennf_transformation,[],[f8]) ).

fof(f8,axiom,
    ! [X0] :
      ( empty(X0)
     => ( ordinal(X0)
        & epsilon_connected(X0)
        & epsilon_transitive(X0) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc3_ordinal1) ).

fof(f191,plain,
    ! [X0] :
      ( epsilon_connected(X0)
      | ~ empty(X0) ),
    inference(cnf_transformation,[],[f85]) ).

fof(f190,plain,
    ! [X0] :
      ( epsilon_transitive(X0)
      | ~ empty(X0) ),
    inference(cnf_transformation,[],[f85]) ).

fof(f175,plain,
    ! [X0] :
      ( epsilon_transitive(X0)
      | ~ ordinal(X0) ),
    inference(cnf_transformation,[],[f77]) ).

fof(f77,plain,
    ! [X0] :
      ( ( epsilon_connected(X0)
        & epsilon_transitive(X0) )
      | ~ ordinal(X0) ),
    inference(ennf_transformation,[],[f4]) ).

fof(f4,axiom,
    ! [X0] :
      ( ordinal(X0)
     => ( epsilon_connected(X0)
        & epsilon_transitive(X0) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc1_ordinal1) ).

fof(f171,plain,
    ! [X0] : in(X0,succ(X0)),
    inference(cnf_transformation,[],[f46]) ).

fof(f46,axiom,
    ! [X0] : in(X0,succ(X0)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t10_ordinal1) ).

fof(f155,plain,
    ! [X0] :
      ( ~ sP0(X0)
      | being_limit_ordinal(X0) ),
    inference(cnf_transformation,[],[f116]) ).

fof(f157,plain,
    ( sP0(sK2)
    | ~ being_limit_ordinal(sK2) ),
    inference(cnf_transformation,[],[f119]) ).

fof(f198,plain,
    ! [X0] : subset(X0,X0),
    inference(cnf_transformation,[],[f63]) ).

fof(f63,plain,
    ! [X0] : subset(X0,X0),
    inference(rectify,[],[f45]) ).

fof(f45,axiom,
    ! [X0,X1] : subset(X0,X0),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',reflexivity_r1_tarski) ).

fof(f170,plain,
    ! [X0] : ~ empty(succ(X0)),
    inference(cnf_transformation,[],[f21]) ).

fof(f21,axiom,
    ! [X0] : ~ empty(succ(X0)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc1_ordinal1) ).

fof(f246,plain,
    empty(sK16),
    inference(cnf_transformation,[],[f152]) ).

fof(f152,plain,
    ( function(sK16)
    & empty(sK16)
    & relation(sK16) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK16])],[f35,f151]) ).

fof(f151,plain,
    ( ? [X0] :
        ( function(X0)
        & empty(X0)
        & relation(X0) )
   => ( function(sK16)
      & empty(sK16)
      & relation(sK16) ) ),
    introduced(choice_axiom,[]) ).

fof(f35,axiom,
    ? [X0] :
      ( function(X0)
      & empty(X0)
      & relation(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc2_funct_1) ).

fof(f244,plain,
    ordinal(sK15),
    inference(cnf_transformation,[],[f150]) ).

fof(f150,plain,
    ( ordinal(sK15)
    & epsilon_connected(sK15)
    & epsilon_transitive(sK15)
    & empty(sK15)
    & function(sK15)
    & relation(sK15) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK15])],[f71,f149]) ).

fof(f149,plain,
    ( ? [X0] :
        ( ordinal(X0)
        & epsilon_connected(X0)
        & epsilon_transitive(X0)
        & empty(X0)
        & function(X0)
        & relation(X0) )
   => ( ordinal(sK15)
      & epsilon_connected(sK15)
      & epsilon_transitive(sK15)
      & empty(sK15)
      & function(sK15)
      & relation(sK15) ) ),
    introduced(choice_axiom,[]) ).

fof(f71,plain,
    ? [X0] :
      ( ordinal(X0)
      & epsilon_connected(X0)
      & epsilon_transitive(X0)
      & empty(X0)
      & function(X0)
      & relation(X0) ),
    inference(pure_predicate_removal,[],[f36]) ).

fof(f36,axiom,
    ? [X0] :
      ( ordinal(X0)
      & epsilon_connected(X0)
      & epsilon_transitive(X0)
      & empty(X0)
      & one_to_one(X0)
      & function(X0)
      & relation(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc2_ordinal1) ).

fof(f243,plain,
    epsilon_connected(sK15),
    inference(cnf_transformation,[],[f150]) ).

fof(f242,plain,
    epsilon_transitive(sK15),
    inference(cnf_transformation,[],[f150]) ).

fof(f241,plain,
    empty(sK15),
    inference(cnf_transformation,[],[f150]) ).

fof(f230,plain,
    empty(sK10),
    inference(cnf_transformation,[],[f140]) ).

fof(f140,plain,
    ( relation(sK10)
    & empty(sK10) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK10])],[f33,f139]) ).

fof(f139,plain,
    ( ? [X0] :
        ( relation(X0)
        & empty(X0) )
   => ( relation(sK10)
      & empty(sK10) ) ),
    introduced(choice_axiom,[]) ).

fof(f33,axiom,
    ? [X0] :
      ( relation(X0)
      & empty(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc1_relat_1) ).

fof(f229,plain,
    ordinal(sK9),
    inference(cnf_transformation,[],[f138]) ).

fof(f138,plain,
    ( ordinal(sK9)
    & epsilon_connected(sK9)
    & epsilon_transitive(sK9) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK9])],[f32,f137]) ).

fof(f137,plain,
    ( ? [X0] :
        ( ordinal(X0)
        & epsilon_connected(X0)
        & epsilon_transitive(X0) )
   => ( ordinal(sK9)
      & epsilon_connected(sK9)
      & epsilon_transitive(sK9) ) ),
    introduced(choice_axiom,[]) ).

fof(f32,axiom,
    ? [X0] :
      ( ordinal(X0)
      & epsilon_connected(X0)
      & epsilon_transitive(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc1_ordinal1) ).

fof(f228,plain,
    epsilon_connected(sK9),
    inference(cnf_transformation,[],[f138]) ).

fof(f227,plain,
    epsilon_transitive(sK9),
    inference(cnf_transformation,[],[f138]) ).

fof(f225,plain,
    ~ empty(sK8),
    inference(cnf_transformation,[],[f136]) ).

fof(f136,plain,
    ( relation(sK8)
    & ~ empty(sK8) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK8])],[f37,f135]) ).

fof(f135,plain,
    ( ? [X0] :
        ( relation(X0)
        & ~ empty(X0) )
   => ( relation(sK8)
      & ~ empty(sK8) ) ),
    introduced(choice_axiom,[]) ).

fof(f37,axiom,
    ? [X0] :
      ( relation(X0)
      & ~ empty(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc2_relat_1) ).

fof(f224,plain,
    ordinal(sK7),
    inference(cnf_transformation,[],[f134]) ).

fof(f134,plain,
    ( ordinal(sK7)
    & epsilon_connected(sK7)
    & epsilon_transitive(sK7)
    & ~ empty(sK7) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK7])],[f40,f133]) ).

fof(f133,plain,
    ( ? [X0] :
        ( ordinal(X0)
        & epsilon_connected(X0)
        & epsilon_transitive(X0)
        & ~ empty(X0) )
   => ( ordinal(sK7)
      & epsilon_connected(sK7)
      & epsilon_transitive(sK7)
      & ~ empty(sK7) ) ),
    introduced(choice_axiom,[]) ).

fof(f40,axiom,
    ? [X0] :
      ( ordinal(X0)
      & epsilon_connected(X0)
      & epsilon_transitive(X0)
      & ~ empty(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc3_ordinal1) ).

fof(f223,plain,
    epsilon_connected(sK7),
    inference(cnf_transformation,[],[f134]) ).

fof(f222,plain,
    epsilon_transitive(sK7),
    inference(cnf_transformation,[],[f134]) ).

fof(f221,plain,
    ~ empty(sK7),
    inference(cnf_transformation,[],[f134]) ).

fof(f220,plain,
    empty(sK6),
    inference(cnf_transformation,[],[f132]) ).

fof(f132,plain,
    empty(sK6),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK6])],[f34,f131]) ).

fof(f131,plain,
    ( ? [X0] : empty(X0)
   => empty(sK6) ),
    introduced(choice_axiom,[]) ).

fof(f34,axiom,
    ? [X0] : empty(X0),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc1_xboole_0) ).

fof(f219,plain,
    ~ empty(sK5),
    inference(cnf_transformation,[],[f130]) ).

fof(f130,plain,
    ~ empty(sK5),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK5])],[f38,f129]) ).

fof(f129,plain,
    ( ? [X0] : ~ empty(X0)
   => ~ empty(sK5) ),
    introduced(choice_axiom,[]) ).

fof(f38,axiom,
    ? [X0] : ~ empty(X0),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc2_xboole_0) ).

fof(f169,plain,
    ordinal(empty_set),
    inference(cnf_transformation,[],[f72]) ).

fof(f72,plain,
    ( ordinal(empty_set)
    & epsilon_connected(empty_set)
    & epsilon_transitive(empty_set)
    & empty(empty_set)
    & function(empty_set)
    & relation(empty_set) ),
    inference(pure_predicate_removal,[],[f68]) ).

fof(f68,plain,
    ( ordinal(empty_set)
    & epsilon_connected(empty_set)
    & epsilon_transitive(empty_set)
    & empty(empty_set)
    & one_to_one(empty_set)
    & function(empty_set)
    & relation(empty_set) ),
    inference(pure_predicate_removal,[],[f23]) ).

fof(f23,axiom,
    ( ordinal(empty_set)
    & epsilon_connected(empty_set)
    & epsilon_transitive(empty_set)
    & empty(empty_set)
    & one_to_one(empty_set)
    & function(empty_set)
    & relation_empty_yielding(empty_set)
    & relation(empty_set) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc2_ordinal1) ).

fof(f168,plain,
    epsilon_connected(empty_set),
    inference(cnf_transformation,[],[f72]) ).

fof(f167,plain,
    epsilon_transitive(empty_set),
    inference(cnf_transformation,[],[f72]) ).

fof(f159,plain,
    empty(empty_set),
    inference(cnf_transformation,[],[f22]) ).

fof(f22,axiom,
    empty(empty_set),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc1_xboole_0) ).

fof(f156,plain,
    ordinal(sK2),
    inference(cnf_transformation,[],[f119]) ).

fof(f248,plain,
    ! [X0] : ~ empty(succ(X0)),
    inference(global_subsumption,[],[f155,f154,f153,f158,f157,f156,f159,f160,f162,f169,f168,f167,f166,f170,f171,f172,f173,f174,f175,f180,f179,f178,f177]) ).

fof(f177,plain,
    ! [X0] :
      ( ~ empty(succ(X0))
      | ~ ordinal(X0) ),
    inference(cnf_transformation,[],[f78]) ).

fof(f166,plain,
    empty(empty_set),
    inference(cnf_transformation,[],[f72]) ).

fof(f162,plain,
    empty(empty_set),
    inference(cnf_transformation,[],[f69]) ).

fof(f69,plain,
    ( relation(empty_set)
    & empty(empty_set) ),
    inference(pure_predicate_removal,[],[f20]) ).

fof(f20,axiom,
    ( relation_empty_yielding(empty_set)
    & relation(empty_set)
    & empty(empty_set) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc12_relat_1) ).

fof(f160,plain,
    empty(empty_set),
    inference(cnf_transformation,[],[f28]) ).

fof(f28,axiom,
    ( relation(empty_set)
    & empty(empty_set) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc4_relat_1) ).

fof(f3384,plain,
    ( spl17_1
    | ~ spl17_2 ),
    inference(avatar_contradiction_clause,[],[f3383]) ).

fof(f3383,plain,
    ( $false
    | spl17_1
    | ~ spl17_2 ),
    inference(subsumption_resolution,[],[f3382,f252]) ).

fof(f252,plain,
    ( ~ being_limit_ordinal(sK2)
    | spl17_1 ),
    inference(avatar_component_clause,[],[f250]) ).

fof(f3371,plain,
    ( spl17_1
    | spl17_2 ),
    inference(avatar_contradiction_clause,[],[f3370]) ).

fof(f3370,plain,
    ( $false
    | spl17_1
    | spl17_2 ),
    inference(subsumption_resolution,[],[f3369,f156]) ).

fof(f3369,plain,
    ( ~ ordinal(sK2)
    | spl17_1
    | spl17_2 ),
    inference(subsumption_resolution,[],[f3367,f252]) ).

fof(f3367,plain,
    ( being_limit_ordinal(sK2)
    | ~ ordinal(sK2)
    | spl17_1
    | spl17_2 ),
    inference(resolution,[],[f3267,f182]) ).

fof(f3267,plain,
    ( ~ ordinal(sK3(sK2))
    | spl17_1
    | spl17_2 ),
    inference(trivial_inequality_removal,[],[f3190]) ).

fof(f3190,plain,
    ( sK2 != sK2
    | ~ ordinal(sK3(sK2))
    | spl17_1
    | spl17_2 ),
    inference(superposition,[],[f282,f3178]) ).

fof(f3178,plain,
    ( sK2 = succ(sK3(sK2))
    | spl17_1 ),
    inference(subsumption_resolution,[],[f3174,f156]) ).

fof(f3174,plain,
    ( sK2 = succ(sK3(sK2))
    | ~ ordinal(sK2)
    | spl17_1 ),
    inference(resolution,[],[f3110,f252]) ).

fof(f282,plain,
    ( ! [X1] :
        ( succ(X1) != sK2
        | ~ ordinal(X1) )
    | spl17_2 ),
    inference(subsumption_resolution,[],[f158,f255]) ).

fof(f255,plain,
    ( ~ sP0(sK2)
    | spl17_2 ),
    inference(avatar_component_clause,[],[f254]) ).

fof(f2765,plain,
    ( spl17_23
    | spl17_24 ),
    inference(avatar_split_clause,[],[f2706,f2763,f2760]) ).

fof(f2760,plain,
    ( spl17_23
  <=> ! [X1] :
        ( ~ empty(X1)
        | ordinal_subset(X1,succ(sK9)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl17_23])]) ).

fof(f2763,plain,
    ( spl17_24
  <=> ! [X0] :
        ( succ(sK9) = X0
        | ~ empty(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl17_24])]) ).

fof(f2740,plain,
    ( spl17_21
    | spl17_22 ),
    inference(avatar_split_clause,[],[f2705,f2738,f2735]) ).

fof(f2735,plain,
    ( spl17_21
  <=> ! [X1] :
        ( ~ empty(X1)
        | ordinal_subset(X1,succ(sK7)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl17_21])]) ).

fof(f2738,plain,
    ( spl17_22
  <=> ! [X0] :
        ( succ(sK7) = X0
        | ~ empty(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl17_22])]) ).

fof(f2728,plain,
    ( spl17_19
    | spl17_20 ),
    inference(avatar_split_clause,[],[f2701,f2726,f2723]) ).

fof(f2723,plain,
    ( spl17_19
  <=> ! [X1] :
        ( ~ empty(X1)
        | ordinal_subset(X1,succ(empty_set)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl17_19])]) ).

fof(f2726,plain,
    ( spl17_20
  <=> ! [X0] :
        ( succ(empty_set) = X0
        | ~ empty(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl17_20])]) ).

fof(f2716,plain,
    ( spl17_17
    | spl17_18 ),
    inference(avatar_split_clause,[],[f2703,f2714,f2711]) ).

fof(f2711,plain,
    ( spl17_17
  <=> ! [X1] :
        ( ~ empty(X1)
        | ordinal_subset(X1,succ(sK2)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl17_17])]) ).

fof(f2714,plain,
    ( spl17_18
  <=> ! [X0] :
        ( succ(sK2) = X0
        | ~ empty(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl17_18])]) ).

fof(f877,plain,
    spl17_16,
    inference(avatar_contradiction_clause,[],[f876]) ).

fof(f876,plain,
    ( $false
    | spl17_16 ),
    inference(subsumption_resolution,[],[f875,f159]) ).

fof(f875,plain,
    ( ~ empty(empty_set)
    | spl17_16 ),
    inference(resolution,[],[f872,f338]) ).

fof(f872,plain,
    ( ~ being_limit_ordinal(empty_set)
    | spl17_16 ),
    inference(avatar_component_clause,[],[f871]) ).

fof(f871,plain,
    ( spl17_16
  <=> being_limit_ordinal(empty_set) ),
    introduced(avatar_definition,[new_symbols(naming,[spl17_16])]) ).

fof(f874,plain,
    ( spl17_15
    | spl17_16 ),
    inference(avatar_split_clause,[],[f865,f871,f867]) ).

fof(f867,plain,
    ( spl17_15
  <=> element(sK3(empty_set),empty_set) ),
    introduced(avatar_definition,[new_symbols(naming,[spl17_15])]) ).

fof(f807,plain,
    ( spl17_13
    | spl17_14 ),
    inference(avatar_split_clause,[],[f771,f805,f802]) ).

fof(f802,plain,
    ( spl17_13
  <=> ! [X1] :
        ( ~ empty(X1)
        | ordinal_subset(X1,sK9) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl17_13])]) ).

fof(f805,plain,
    ( spl17_14
  <=> ! [X0] :
        ( ~ empty(X0)
        | sK9 = X0 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl17_14])]) ).

fof(f797,plain,
    ( spl17_11
    | spl17_12 ),
    inference(avatar_split_clause,[],[f770,f795,f792]) ).

fof(f792,plain,
    ( spl17_11
  <=> ! [X1] :
        ( ~ empty(X1)
        | ordinal_subset(X1,sK7) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl17_11])]) ).

fof(f795,plain,
    ( spl17_12
  <=> ! [X0] :
        ( ~ empty(X0)
        | sK7 = X0 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl17_12])]) ).

fof(f780,plain,
    ( spl17_9
    | spl17_10 ),
    inference(avatar_split_clause,[],[f768,f778,f775]) ).

fof(f775,plain,
    ( spl17_9
  <=> ! [X1] :
        ( ~ empty(X1)
        | ordinal_subset(X1,sK2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl17_9])]) ).

fof(f778,plain,
    ( spl17_10
  <=> ! [X0] :
        ( ~ empty(X0)
        | sK2 = X0 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl17_10])]) ).

fof(f487,plain,
    ( spl17_7
    | ~ spl17_8
    | spl17_5 ),
    inference(avatar_split_clause,[],[f473,f375,f484,f481]) ).

fof(f481,plain,
    ( spl17_7
  <=> ! [X0] :
        ( ~ empty(X0)
        | ordinal_subset(X0,powerset(empty_set)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl17_7])]) ).

fof(f484,plain,
    ( spl17_8
  <=> ordinal(powerset(empty_set)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl17_8])]) ).

fof(f375,plain,
    ( spl17_5
  <=> empty(powerset(empty_set)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl17_5])]) ).

fof(f473,plain,
    ( ! [X0] :
        ( ~ ordinal(powerset(empty_set))
        | ~ empty(X0)
        | ordinal_subset(X0,powerset(empty_set)) )
    | spl17_5 ),
    inference(resolution,[],[f459,f383]) ).

fof(f383,plain,
    ( in(empty_set,powerset(empty_set))
    | spl17_5 ),
    inference(subsumption_resolution,[],[f369,f376]) ).

fof(f376,plain,
    ( ~ empty(powerset(empty_set))
    | spl17_5 ),
    inference(avatar_component_clause,[],[f375]) ).

fof(f382,plain,
    ( spl17_5
    | ~ spl17_6 ),
    inference(avatar_split_clause,[],[f368,f379,f375]) ).

fof(f379,plain,
    ( spl17_6
  <=> in(powerset(empty_set),empty_set) ),
    introduced(avatar_definition,[new_symbols(naming,[spl17_6])]) ).

fof(f322,plain,
    ~ spl17_3,
    inference(avatar_contradiction_clause,[],[f311]) ).

fof(f311,plain,
    ( $false
    | ~ spl17_3 ),
    inference(resolution,[],[f304,f169]) ).

fof(f304,plain,
    ( ! [X1] : ~ ordinal(X1)
    | ~ spl17_3 ),
    inference(avatar_component_clause,[],[f303]) ).

fof(f303,plain,
    ( spl17_3
  <=> ! [X1] : ~ ordinal(X1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl17_3])]) ).

fof(f321,plain,
    ~ spl17_3,
    inference(avatar_contradiction_clause,[],[f313]) ).

fof(f313,plain,
    ( $false
    | ~ spl17_3 ),
    inference(resolution,[],[f304,f156]) ).

fof(f320,plain,
    ~ spl17_3,
    inference(avatar_contradiction_clause,[],[f315]) ).

fof(f315,plain,
    ( $false
    | ~ spl17_3 ),
    inference(resolution,[],[f304,f224]) ).

fof(f319,plain,
    ~ spl17_3,
    inference(avatar_contradiction_clause,[],[f316]) ).

fof(f316,plain,
    ( $false
    | ~ spl17_3 ),
    inference(resolution,[],[f304,f229]) ).

fof(f318,plain,
    ~ spl17_3,
    inference(avatar_contradiction_clause,[],[f317]) ).

fof(f317,plain,
    ( $false
    | ~ spl17_3 ),
    inference(resolution,[],[f304,f244]) ).

fof(f308,plain,
    ( spl17_3
    | spl17_4 ),
    inference(avatar_split_clause,[],[f207,f306,f303]) ).

fof(f306,plain,
    ( spl17_4
  <=> ! [X0] :
        ( ordinal_subset(X0,X0)
        | ~ ordinal(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl17_4])]) ).

fof(f257,plain,
    ( ~ spl17_1
    | spl17_2 ),
    inference(avatar_split_clause,[],[f157,f254,f250]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem    : SEU238+1 : TPTP v8.1.2. Released v3.3.0.
% 0.07/0.15  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.36  % Computer : n029.cluster.edu
% 0.14/0.36  % Model    : x86_64 x86_64
% 0.14/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36  % Memory   : 8042.1875MB
% 0.14/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36  % CPULimit   : 300
% 0.14/0.36  % WCLimit    : 300
% 0.14/0.36  % DateTime   : Mon Apr 29 20:35:19 EDT 2024
% 0.14/0.37  % CPUTime    : 
% 0.14/0.37  % (6722)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.38  % (6725)WARNING: value z3 for option sas not known
% 0.14/0.38  % (6728)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)
% 0.14/0.38  % (6726)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.14/0.38  % (6724)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.14/0.38  % (6729)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)
% 0.14/0.38  % (6727)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)
% 0.14/0.38  % (6725)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)
% 0.14/0.39  % (6723)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.14/0.39  TRYING [1]
% 0.14/0.39  TRYING [2]
% 0.14/0.39  TRYING [3]
% 0.14/0.39  TRYING [4]
% 0.14/0.39  TRYING [1]
% 0.14/0.40  TRYING [2]
% 0.14/0.40  TRYING [5]
% 0.14/0.40  TRYING [3]
% 0.21/0.41  TRYING [6]
% 0.21/0.43  TRYING [4]
% 0.21/0.45  TRYING [7]
% 0.21/0.46  TRYING [5]
% 0.21/0.52  TRYING [6]
% 0.21/0.54  TRYING [1]
% 0.21/0.54  TRYING [2]
% 0.21/0.54  TRYING [3]
% 0.21/0.54  TRYING [4]
% 0.21/0.55  TRYING [5]
% 0.21/0.56  TRYING [6]
% 0.21/0.57  TRYING [8]
% 0.21/0.57  TRYING [7]
% 1.67/0.60  % (6725)First to succeed.
% 1.67/0.60  TRYING [8]
% 1.95/0.66  TRYING [9]
% 1.95/0.66  % (6725)Refutation found. Thanks to Tanya!
% 1.95/0.66  % SZS status Theorem for theBenchmark
% 1.95/0.66  % SZS output start Proof for theBenchmark
% See solution above
% 1.95/0.68  % (6725)------------------------------
% 1.95/0.68  % (6725)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 1.95/0.68  % (6725)Termination reason: Refutation
% 1.95/0.68  
% 1.95/0.68  % (6725)Memory used [KB]: 5386
% 1.95/0.68  % (6725)Time elapsed: 0.272 s
% 1.95/0.68  % (6725)Instructions burned: 526 (million)
% 1.95/0.68  % (6725)------------------------------
% 1.95/0.68  % (6725)------------------------------
% 1.95/0.68  % (6722)Success in time 0.299 s
%------------------------------------------------------------------------------