TSTP Solution File: GEO010-3 by Vampire-SAT---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : GEO010-3 : TPTP v8.1.2. Bugfixed v1.2.1.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s

% Computer : n018.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Sun May  5 05:14:04 EDT 2024

% Result   : Unsatisfiable 0.21s 0.47s
% Output   : Refutation 0.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   23
%            Number of leaves      :   96
% Syntax   : Number of formulae    : 1476 ( 158 unt;   0 def)
%            Number of atoms       : 3441 (1639 equ)
%            Maximal formula atoms :    8 (   2 avg)
%            Number of connectives : 3863 (1898   ~;1960   |;   0   &)
%                                         (   5 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   17 (   6 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :   10 (   8 usr;   6 prp; 0-4 aty)
%            Number of functors    :   13 (  13 usr;   6 con; 0-6 aty)
%            Number of variables   : 4721 (4721   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f2489,plain,
    $false,
    inference(avatar_sat_refutation,[],[f2413,f2460,f2462,f2464,f2466,f2468,f2470,f2472,f2474,f2476,f2478,f2480,f2482,f2484,f2486,f2488]) ).

fof(f2488,plain,
    ( spl0_2
    | ~ spl0_3 ),
    inference(avatar_contradiction_clause,[],[f2487]) ).

fof(f2487,plain,
    ( $false
    | spl0_2
    | ~ spl0_3 ),
    inference(global_subsumption,[],[f2403,f68,f47,f93,f46,f94,f79,f45,f8,f9,f76,f77,f55,f56,f96,f14,f15,f16,f74,f86,f85,f84,f43,f70,f81,f82,f83,f69,f42,f72,f17,f18,f80,f13,f73,f71,f6,f63,f64,f65,f91,f10,f11,f12,f49,f52,f1,f25,f39,f41,f36,f7,f34,f37,f48,f103,f66,f102,f3,f4,f19,f20,f21,f40,f51,f88,f89,f90,f95,f114,f118,f5,f124,f126,f138,f141,f147,f161,f162,f163,f151,f155,f159,f160,f127,f23,f171,f176,f75,f182,f135,f164,f186,f190,f168,f193,f197,f26,f199,f206,f208,f211,f204,f216,f218,f210,f201,f203,f229,f226,f230,f27,f244,f249,f253,f239,f257,f261,f242,f246,f205,f286,f241,f291,f243,f298,f28,f310,f316,f308,f321,f322,f325,f313,f328,f329,f333,f245,f335,f340,f281,f341,f347,f288,f350,f354,f294,f356,f361,f309,f364,f367,f319,f371,f375,f29,f387,f412,f398,f420,f30,f187,f452,f453,f454,f455,f462,f461,f466,f467,f194,f470,f478,f471,f473,f480,f460,f484,f490,f486,f493,f31,f32,f152,f565,f568,f53,f578,f579,f580,f581,f577,f587,f591,f593,f165,f595,f596,f597,f598,f599,f600,f601,f594,f605,f166,f607,f609,f611,f167,f614,f615,f616,f617,f618,f619,f178,f622,f623,f629,f626,f633,f213,f638,f639,f641,f642,f643,f221,f646,f647,f649,f650,f255,f653,f656,f659,f54,f664,f666,f668,f669,f667,f675,f679,f681,f263,f683,f686,f271,f697,f280,f78,f712,f713,f714,f715,f706,f716,f711,f728,f739,f730,f610,f740,f742,f743,f744,f746,f747,f749,f750,f751,f753,f754,f755,f756,f760,f764,f765,f766,f767,f768,f769,f776,f777,f778,f779,f780,f782,f783,f784,f785,f787,f788,f789,f792,f793,f794,f795,f797,f798,f799,f800,f801,f802,f803,f804,f805,f806,f807,f808,f809,f810,f811,f812,f813,f815,f816,f817,f818,f819,f786,f822,f823,f826,f827,f825,f833,f834,f837,f58,f843,f845,f847,f849,f850,f842,f855,f856,f858,f857,f861,f862,f864,f870,f846,f872,f873,f874,f875,f876,f877,f878,f880,f883,f884,f886,f888,f848,f895,f896,f899,f900,f904,f879,f907,f908,f909,f910,f911,f912,f913,f915,f918,f919,f923,f921,f931,f932,f935,f936,f940,f61,f943,f944,f945,f946,f947,f948,f950,f951,f952,f949,f956,f957,f958,f959,f960,f964,f965,f967,f969,f961,f971,f972,f973,f974,f975,f977,f979,f980,f982,f984,f759,f986,f987,f988,f989,f990,f991,f992,f993,f995,f996,f997,f1000,f761,f1001,f1003,f1004,f1005,f1006,f1118,f1119,f1012,f1013,f1014,f1015,f1016,f1019,f1020,f1024,f1025,f1026,f1027,f1028,f1029,f1030,f1031,f1032,f1033,f1034,f1035,f1036,f1037,f1038,f1039,f1040,f1041,f1042,f1043,f1044,f1045,f1046,f1047,f1048,f1049,f1050,f1051,f1052,f1053,f1120,f1121,f1122,f1123,f1124,f1125,f1126,f1127,f1128,f1129,f1064,f1065,f1066,f1067,f1068,f1069,f1072,f1076,f1135,f1078,f1136,f1137,f1138,f1145,f1089,f1146,f1091,f1092,f1147,f1148,f1149,f1150,f1151,f1152,f1153,f1154,f1155,f1156,f1103,f1104,f1105,f1106,f1157,f1158,f1159,f1160,f1161,f1162,f1163,f1164,f1115,f1116,f1117,f62,f1167,f1168,f1169,f1171,f1172,f1173,f1174,f1175,f1176,f1177,f1178,f1166,f1183,f1184,f1185,f1186,f1188,f1187,f1191,f1192,f1194,f1195,f1202,f1203,f1170,f1206,f1207,f1208,f1209,f1210,f1211,f1214,f1215,f1217,f1218,f1221,f1222,f1205,f1227,f1228,f1229,f1230,f1231,f1232,f1235,f1236,f1238,f1239,f1242,f1243,f762,f1244,f1245,f1246,f1247,f1248,f1249,f1251,f1253,f1254,f1255,f1256,f1260,f1261,f770,f1264,f1265,f1267,f1268,f1269,f1270,f1272,f1273,f1274,f1275,f1279,f1280,f771,f1282,f1283,f1285,f1286,f1288,f1290,f1291,f1292,f1293,f1297,f1298,f772,f1299,f1302,f1305,f1306,f1308,f1309,f1310,f1311,f1315,f1316,f773,f1317,f1323,f1324,f1326,f1327,f1328,f1329,f1333,f1334,f774,f1339,f1343,f1345,f1346,f1347,f1348,f1352,f1353,f87,f1359,f1360,f1361,f1362,f1373,f1374,f1375,f1376,f1378,f1379,f1381,f1383,f1384,f775,f1394,f1395,f1397,f1398,f1399,f1400,f1404,f1405,f67,f1407,f1408,f1409,f1410,f1411,f1412,f1413,f1420,f1421,f1417,f1422,f1423,f44,f1427,f1428,f1429,f1430,f1431,f1432,f1433,f1434,f1435,f1436,f1437,f1438,f1439,f1440,f1442,f1443,f1458,f1459,f575,f1466,f1467,f1468,f1469,f1470,f1471,f1472,f1473,f1477,f1474,f1478,f1475,f1479,f709,f1480,f1481,f662,f1494,f1506,f1495,f1496,f1497,f1498,f1508,f1499,f1509,f1501,f1502,f1503,f1504,f1505,f708,f1510,f1511,f1464,f1523,f1524,f576,f1530,f1531,f1538,f1539,f665,f1540,f1542,f1543,f1544,f1545,f1548,f1549,f1556,f1558,f1559,f710,f1575,f1576,f1565,f1566,f1414,f1577,f1578,f1579,f1580,f1581,f1582,f1583,f1584,f1585,f1586,f1593,f1595,f1596,f1594,f1604,f1605,f1612,f1608,f1609,f1613,f1597,f1615,f1616,f1617,f1618,f1619,f1620,f1621,f1622,f1629,f1625,f1626,f1630,f1598,f1631,f1633,f1634,f1636,f1637,f1638,f1639,f1646,f1642,f1643,f1647,f1599,f1648,f1649,f1652,f1654,f1655,f1656,f1663,f1659,f1660,f1664,f1600,f1665,f1669,f1670,f1672,f1673,f1680,f1676,f1677,f1681,f1601,f1683,f1685,f1689,f1690,f1697,f1693,f1694,f1698,f1602,f1701,f1706,f1707,f1714,f1710,f1711,f1715,f1603,f1723,f1724,f1731,f1727,f1728,f1732,f2,f1734,f1735,f1736,f1738,f1739,f1740,f1741,f1743,f1744,f1745,f1746,f1747,f1748,f1749,f1750,f1751,f1752,f1753,f1754,f1755,f1756,f1757,f1758,f1759,f1760,f1761,f1762,f1763,f1764,f1765,f1766,f1767,f1768,f1769,f1770,f1771,f1772,f1773,f1774,f1775,f1776,f1777,f1778,f1779,f1780,f1781,f1782,f1783,f1784,f1785,f1786,f1787,f1788,f1789,f24,f1790,f1820,f1792,f1821,f1822,f1796,f1823,f1798,f1799,f1800,f1824,f1803,f1805,f1825,f1814,f1826,f1816,f1817,f1818,f1819,f1832,f1833,f1733,f1837,f1840,f1868,f1843,f1870,f1849,f1872,f1873,f1853,f1861,f1863,f33,f1885,f1886,f1887,f1889,f1890,f1891,f1892,f1894,f1895,f1896,f1897,f1898,f1899,f1900,f1901,f1902,f1903,f1904,f1905,f1906,f1907,f1908,f1909,f1910,f1911,f1912,f1913,f1914,f1915,f1916,f1917,f1918,f1919,f1920,f1921,f1922,f1923,f1924,f1925,f1926,f1927,f1928,f1929,f1930,f1931,f1932,f1933,f1934,f1935,f1936,f1937,f1938,f1939,f1940,f1836,f1942,f1947,f1948,f1949,f1950,f1943,f1955,f1963,f1884,f1972,f1975,f1981,f1985,f1994,f1996,f59,f2020,f2034,f2022,f2023,f2024,f2025,f2026,f2027,f2028,f2029,f2030,f2031,f2032,f2033,f1846,f2036,f2037,f2038,f2040,f2041,f2042,f2043,f2044,f1851,f2049,f2050,f2054,f2055,f2056,f2057,f1978,f2062,f2065,f2066,f2070,f1983,f2075,f2083,f60,f2091,f2092,f2093,f2094,f2095,f2096,f2097,f2098,f2099,f2100,f2101,f2102,f2103,f2107,f2109,f2110,f2111,f2112,f2113,f2114,f2117,f2118,f2120,f2121,f2124,f2125,f2108,f2126,f2128,f2129,f2130,f2131,f2132,f2133,f2134,f2135,f2136,f2137,f2153,f2138,f2141,f2142,f2144,f2154,f2155,f2148,f2149,f2156,f2157,f2127,f2158,f2160,f2161,f2162,f2163,f2164,f2165,f2166,f2167,f2168,f2184,f2169,f2172,f2173,f2175,f2185,f2186,f2179,f2180,f2187,f2188,f2145,f2193,f2194,f2195,f2196,f2197,f2198,f2199,f2226,f2200,f2201,f2202,f2203,f2204,f2207,f2208,f2210,f2227,f2228,f2216,f2217,f2219,f2220,f2229,f2230,f2176,f2235,f2237,f2238,f2239,f2240,f2241,f2242,f2243,f2244,f2245,f2246,f2249,f2250,f2252,f2253,f2268,f2269,f2258,f2259,f2261,f2270,f2271,f2105,f2274,f2275,f2277,f2284,f2285,f2278,f2294,f2296,f2297,f2298,f2300,f2301,f2302,f2304,f2309,f2310,f2312,f2319,f2320,f2290,f2325,f2328,f2330,f2331,f2332,f2334,f2335,f2336,f2338,f2341,f2342,f2345,f2346,f2348,f2349,f2356,f2357,f2291,f2363,f2365,f2370,f2371,f2372,f2373,f2375,f2377,f2381,f2382,f2384,f2385,f2391,f2392,f92,f2400,f2420,f2421,f2422,f2423,f2424,f2425,f22,f2450]) ).

fof(f2450,plain,
    ( between(c,a,b)
    | between(b,c,a)
    | between(a,b,c) ),
    inference(resolution,[],[f22,f91]) ).

fof(f22,axiom,
    ! [X2,X0,X1] :
      ( ~ colinear(X0,X1,X2)
      | between(X2,X0,X1)
      | between(X1,X2,X0)
      | between(X0,X1,X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',colinearity4) ).

fof(f2425,plain,
    ( ~ between(b,a,c)
    | spl0_2 ),
    inference(resolution,[],[f2400,f19]) ).

fof(f2424,plain,
    ( ~ between(a,c,b)
    | spl0_2 ),
    inference(resolution,[],[f2400,f20]) ).

fof(f2423,plain,
    ( ~ between(c,b,a)
    | spl0_2 ),
    inference(resolution,[],[f2400,f21]) ).

fof(f2422,plain,
    ( ~ between(c,a,b)
    | spl0_2 ),
    inference(resolution,[],[f2400,f88]) ).

fof(f2421,plain,
    ( ~ between(b,c,a)
    | spl0_2 ),
    inference(resolution,[],[f2400,f89]) ).

fof(f2420,plain,
    ( ~ between(a,b,c)
    | spl0_2 ),
    inference(resolution,[],[f2400,f90]) ).

fof(f2400,plain,
    ( ~ colinear(b,a,c)
    | spl0_2 ),
    inference(avatar_component_clause,[],[f2398]) ).

fof(f2398,plain,
    ( spl0_2
  <=> colinear(b,a,c) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).

fof(f92,axiom,
    ( ~ colinear(c,b,a)
    | ~ colinear(c,a,b)
    | ~ colinear(b,c,a)
    | ~ colinear(b,a,c)
    | ~ colinear(a,c,b) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_colinear_in_all_orders) ).

fof(f2392,plain,
    ! [X2,X3,X0,X1] :
      ( between(X3,X1,X2)
      | X0 != X1
      | reflection(X0,X1) != X2 ),
    inference(forward_demodulation,[],[f2387,f39]) ).

fof(f2387,plain,
    ! [X2,X3,X0,X1] :
      ( between(X3,X1,reflection(X2,X2))
      | X0 != X1
      | reflection(X0,X1) != X2 ),
    inference(superposition,[],[f2291,f126]) ).

fof(f2391,plain,
    ! [X2,X0,X1,X4] :
      ( between(X4,X1,X2)
      | X0 != X1
      | reflection(X0,X1) != X2 ),
    inference(forward_demodulation,[],[f2386,f48]) ).

fof(f2386,plain,
    ! [X2,X3,X0,X1,X4] :
      ( between(X4,X1,reflection(reflection(X2,X3),X3))
      | X0 != X1
      | reflection(X0,X1) != X2 ),
    inference(superposition,[],[f2291,f761]) ).

fof(f2385,plain,
    ! [X2,X0,X1] :
      ( between(X2,X1,X0)
      | reflection(X0,X1) != X1 ),
    inference(superposition,[],[f2291,f48]) ).

fof(f2384,plain,
    ! [X2,X3,X0,X1] :
      ( between(X3,X1,X2)
      | reflection(X0,X1) != X1
      | X0 != X2 ),
    inference(superposition,[],[f2291,f761]) ).

fof(f2382,plain,
    ! [X2,X3,X0,X1] :
      ( between(X3,X1,reflection(X2,X1))
      | X0 != X1
      | X0 != X2 ),
    inference(superposition,[],[f2291,f610]) ).

fof(f2381,plain,
    ! [X2,X3,X0,X1] :
      ( between(X3,X1,reflection(X2,X1))
      | X0 != X1
      | X0 != X2 ),
    inference(superposition,[],[f2291,f610]) ).

fof(f2377,plain,
    ! [X2,X0,X1] :
      ( X0 != X1
      | between(X2,reflection(X0,X1),X1) ),
    inference(resolution,[],[f2291,f921]) ).

fof(f2375,plain,
    ! [X2,X0,X1] :
      ( reflection(X1,X2) != X0
      | between(X1,X2,reflection(X0,reflection(X1,X2))) ),
    inference(resolution,[],[f2291,f2103]) ).

fof(f2373,plain,
    ! [X2,X0,X1] :
      ( X0 != X1
      | X1 = X2
      | reflection(X0,X1) != X2 ),
    inference(resolution,[],[f2291,f575]) ).

fof(f2372,plain,
    ! [X2,X0,X1] :
      ( X0 != X1
      | insertion(X2,reflection(X0,X1),X2,X1) = X1 ),
    inference(resolution,[],[f2291,f78]) ).

fof(f2371,plain,
    ! [X2,X3,X0,X1] :
      ( X0 != X1
      | ~ between(X2,X3,X1)
      | between(X2,X3,reflection(X0,X1)) ),
    inference(resolution,[],[f2291,f62]) ).

fof(f2370,plain,
    ! [X2,X3,X0,X1] :
      ( X0 != X1
      | ~ between(X1,X2,reflection(X0,X1))
      | between(X3,X2,reflection(X0,X1)) ),
    inference(resolution,[],[f2291,f61]) ).

fof(f2365,plain,
    ! [X2,X0,X1] :
      ( X0 != X1
      | ~ between(X1,X2,reflection(X0,X1))
      | X1 = X2 ),
    inference(resolution,[],[f2291,f53]) ).

fof(f2363,plain,
    ! [X2,X0,X1] :
      ( X0 != X1
      | X1 = X2
      | reflection(X0,X1) = extension(X2,X1,X1,reflection(X0,X1)) ),
    inference(resolution,[],[f2291,f44]) ).

fof(f2291,plain,
    ! [X2,X0,X1] :
      ( between(X2,X1,reflection(X0,X1))
      | X0 != X1 ),
    inference(resolution,[],[f2278,f95]) ).

fof(f2357,plain,
    ! [X2,X3,X0,X1] :
      ( between(X1,X2,X3)
      | X0 != X1
      | reflection(X0,X1) != X2 ),
    inference(forward_demodulation,[],[f2351,f39]) ).

fof(f2351,plain,
    ! [X2,X3,X0,X1] :
      ( between(X1,reflection(X2,X2),X3)
      | X0 != X1
      | reflection(X0,X1) != X2 ),
    inference(superposition,[],[f2290,f126]) ).

fof(f2356,plain,
    ! [X2,X0,X1,X4] :
      ( between(X1,X2,X4)
      | X0 != X1
      | reflection(X0,X1) != X2 ),
    inference(forward_demodulation,[],[f2350,f48]) ).

fof(f2350,plain,
    ! [X2,X3,X0,X1,X4] :
      ( between(X1,reflection(reflection(X2,X3),X3),X4)
      | X0 != X1
      | reflection(X0,X1) != X2 ),
    inference(superposition,[],[f2290,f761]) ).

fof(f2349,plain,
    ! [X2,X0,X1] :
      ( between(X1,X0,X2)
      | reflection(X0,X1) != X1 ),
    inference(superposition,[],[f2290,f48]) ).

fof(f2348,plain,
    ! [X2,X3,X0,X1] :
      ( between(X1,X2,X3)
      | reflection(X0,X1) != X1
      | X0 != X2 ),
    inference(superposition,[],[f2290,f761]) ).

fof(f2346,plain,
    ! [X2,X3,X0,X1] :
      ( between(X1,reflection(X2,X1),X3)
      | X0 != X1
      | X0 != X2 ),
    inference(superposition,[],[f2290,f610]) ).

fof(f2345,plain,
    ! [X2,X3,X0,X1] :
      ( between(X1,reflection(X2,X1),X3)
      | X0 != X1
      | X0 != X2 ),
    inference(superposition,[],[f2290,f610]) ).

fof(f2342,plain,
    ! [X2,X0,X1] :
      ( reflection(X1,X2) != X0
      | between(reflection(X0,reflection(X1,X2)),X2,X1) ),
    inference(resolution,[],[f2290,f848]) ).

fof(f2341,plain,
    ! [X2,X0,X1] :
      ( reflection(X1,X2) != X0
      | between(X1,X2,reflection(X0,reflection(X1,X2))) ),
    inference(resolution,[],[f2290,f921]) ).

fof(f2338,plain,
    ! [X2,X0,X1] :
      ( X0 != X1
      | reflection(X0,X1) = X2
      | X1 != X2 ),
    inference(resolution,[],[f2290,f662]) ).

fof(f2336,plain,
    ! [X2,X0,X1] :
      ( X0 != X1
      | reflection(X0,X1) = insertion(X1,X2,X1,reflection(X0,X1)) ),
    inference(resolution,[],[f2290,f78]) ).

fof(f2335,plain,
    ! [X2,X3,X0,X1] :
      ( X0 != X1
      | ~ between(X1,X2,reflection(X0,X1))
      | between(X1,X2,X3) ),
    inference(resolution,[],[f2290,f62]) ).

fof(f2334,plain,
    ! [X2,X3,X0,X1] :
      ( X0 != X1
      | ~ between(reflection(X0,X1),X2,X3)
      | between(X1,X2,X3) ),
    inference(resolution,[],[f2290,f61]) ).

fof(f2332,plain,
    ! [X2,X3,X0,X1] :
      ( X0 != X1
      | reflection(X0,X1) = X2
      | ~ between(reflection(X0,X1),X2,X3)
      | between(X1,X2,X3) ),
    inference(resolution,[],[f2290,f59]) ).

fof(f2331,plain,
    ! [X2,X3,X0,X1] :
      ( X0 != X1
      | ~ between(X1,X2,reflection(X0,X1))
      | between(X2,reflection(X0,X1),X3) ),
    inference(resolution,[],[f2290,f58]) ).

fof(f2330,plain,
    ! [X2,X0,X1] :
      ( X0 != X1
      | reflection(X0,X1) = X2
      | ~ between(X1,X2,reflection(X0,X1)) ),
    inference(resolution,[],[f2290,f54]) ).

fof(f2328,plain,
    ! [X2,X0,X1] :
      ( X0 != X1
      | between(X2,reflection(X0,X1),X1) ),
    inference(resolution,[],[f2290,f51]) ).

fof(f2325,plain,
    ! [X2,X0,X1] :
      ( X0 != X1
      | between(X2,reflection(X0,X1),X1) ),
    inference(resolution,[],[f2290,f95]) ).

fof(f2290,plain,
    ! [X2,X0,X1] :
      ( between(X1,reflection(X0,X1),X2)
      | X0 != X1 ),
    inference(resolution,[],[f2278,f842]) ).

fof(f2320,plain,
    ! [X2,X3,X0,X1] :
      ( between(X2,X1,X3)
      | X0 != X1
      | reflection(X0,X1) != X2 ),
    inference(forward_demodulation,[],[f2315,f39]) ).

fof(f2315,plain,
    ! [X2,X3,X0,X1] :
      ( between(reflection(X2,X2),X1,X3)
      | X0 != X1
      | reflection(X0,X1) != X2 ),
    inference(superposition,[],[f2278,f126]) ).

fof(f2319,plain,
    ! [X2,X0,X1,X4] :
      ( between(X2,X1,X4)
      | X0 != X1
      | reflection(X0,X1) != X2 ),
    inference(forward_demodulation,[],[f2314,f48]) ).

fof(f2314,plain,
    ! [X2,X3,X0,X1,X4] :
      ( between(reflection(reflection(X2,X3),X3),X1,X4)
      | X0 != X1
      | reflection(X0,X1) != X2 ),
    inference(superposition,[],[f2278,f761]) ).

fof(f2312,plain,
    ! [X2,X3,X0,X1] :
      ( between(X2,X1,X3)
      | reflection(X0,X1) != X1
      | X0 != X2 ),
    inference(superposition,[],[f2278,f761]) ).

fof(f2310,plain,
    ! [X2,X3,X0,X1] :
      ( between(reflection(X2,X1),X1,X3)
      | X0 != X1
      | X0 != X2 ),
    inference(superposition,[],[f2278,f610]) ).

fof(f2309,plain,
    ! [X2,X3,X0,X1] :
      ( between(reflection(X2,X1),X1,X3)
      | X0 != X1
      | X0 != X2 ),
    inference(superposition,[],[f2278,f610]) ).

fof(f2304,plain,
    ! [X2,X0,X1] :
      ( X0 != X1
      | X1 = X2
      | reflection(X0,X1) != X2 ),
    inference(resolution,[],[f2278,f662]) ).

fof(f2302,plain,
    ! [X2,X0,X1] :
      ( X0 != X1
      | insertion(reflection(X0,X1),X2,reflection(X0,X1),X1) = X1 ),
    inference(resolution,[],[f2278,f78]) ).

fof(f2301,plain,
    ! [X2,X3,X0,X1] :
      ( X0 != X1
      | ~ between(reflection(X0,X1),X2,X1)
      | between(reflection(X0,X1),X2,X3) ),
    inference(resolution,[],[f2278,f62]) ).

fof(f2300,plain,
    ! [X2,X3,X0,X1] :
      ( X0 != X1
      | ~ between(X1,X2,X3)
      | between(reflection(X0,X1),X2,X3) ),
    inference(resolution,[],[f2278,f61]) ).

fof(f2298,plain,
    ! [X2,X3,X0,X1] :
      ( X0 != X1
      | X1 = X2
      | ~ between(X1,X2,X3)
      | between(reflection(X0,X1),X2,X3) ),
    inference(resolution,[],[f2278,f59]) ).

fof(f2297,plain,
    ! [X2,X3,X0,X1] :
      ( X0 != X1
      | ~ between(reflection(X0,X1),X2,X1)
      | between(X2,X1,X3) ),
    inference(resolution,[],[f2278,f58]) ).

fof(f2296,plain,
    ! [X2,X0,X1] :
      ( X0 != X1
      | X1 = X2
      | ~ between(reflection(X0,X1),X2,X1) ),
    inference(resolution,[],[f2278,f54]) ).

fof(f2294,plain,
    ! [X2,X0,X1] :
      ( X0 != X1
      | between(X2,X1,reflection(X0,X1)) ),
    inference(resolution,[],[f2278,f51]) ).

fof(f2278,plain,
    ! [X2,X0,X1] :
      ( between(reflection(X0,X1),X1,X2)
      | X0 != X1 ),
    inference(superposition,[],[f2105,f48]) ).

fof(f2285,plain,
    ! [X2,X3,X0,X1] :
      ( X1 != X2
      | between(X0,X1,X3)
      | reflection(X0,X1) != X2 ),
    inference(forward_demodulation,[],[f2280,f39]) ).

fof(f2280,plain,
    ! [X2,X3,X0,X1] :
      ( reflection(X2,X2) != X1
      | between(X0,X1,X3)
      | reflection(X0,X1) != X2 ),
    inference(superposition,[],[f2105,f126]) ).

fof(f2284,plain,
    ! [X2,X0,X1,X4] :
      ( X1 != X2
      | between(X0,X1,X4)
      | reflection(X0,X1) != X2 ),
    inference(forward_demodulation,[],[f2279,f48]) ).

fof(f2279,plain,
    ! [X2,X3,X0,X1,X4] :
      ( reflection(reflection(X2,X3),X3) != X1
      | between(X0,X1,X4)
      | reflection(X0,X1) != X2 ),
    inference(superposition,[],[f2105,f761]) ).

fof(f2277,plain,
    ! [X2,X3,X0,X1] :
      ( X1 != X2
      | between(reflection(X0,X1),X1,X3)
      | X0 != X2 ),
    inference(superposition,[],[f2105,f761]) ).

fof(f2275,plain,
    ! [X2,X3,X0,X1] :
      ( reflection(X2,X1) != X1
      | between(X0,X1,X3)
      | X0 != X2 ),
    inference(superposition,[],[f2105,f610]) ).

fof(f2274,plain,
    ! [X2,X3,X0,X1] :
      ( reflection(X2,X1) != X1
      | between(X0,X1,X3)
      | X0 != X2 ),
    inference(superposition,[],[f2105,f610]) ).

fof(f2105,plain,
    ! [X2,X0,X1] :
      ( reflection(X0,X1) != X1
      | between(X0,X1,X2) ),
    inference(resolution,[],[f2103,f493]) ).

fof(f2271,plain,
    ! [X2,X0,X1] :
      ( between(reflection(X1,X0),X1,X2)
      | reflection(X0,X1) != X2 ),
    inference(forward_demodulation,[],[f2264,f39]) ).

fof(f2264,plain,
    ! [X2,X0,X1] :
      ( between(reflection(X1,X0),X1,reflection(X2,X2))
      | reflection(X0,X1) != X2 ),
    inference(superposition,[],[f2176,f126]) ).

fof(f2270,plain,
    ! [X2,X0,X1] :
      ( between(reflection(X1,X0),X1,X2)
      | reflection(X0,X1) != X2 ),
    inference(forward_demodulation,[],[f2263,f48]) ).

fof(f2263,plain,
    ! [X2,X3,X0,X1] :
      ( between(reflection(X1,X0),X1,reflection(reflection(X2,X3),X3))
      | reflection(X0,X1) != X2 ),
    inference(superposition,[],[f2176,f761]) ).

fof(f2261,plain,
    ! [X2,X0,X1] :
      ( between(reflection(X1,reflection(X0,X1)),X1,X2)
      | X0 != X2 ),
    inference(superposition,[],[f2176,f761]) ).

fof(f2259,plain,
    ! [X2,X0,X1] :
      ( between(reflection(X1,X0),X1,reflection(X2,X1))
      | X0 != X2 ),
    inference(superposition,[],[f2176,f610]) ).

fof(f2258,plain,
    ! [X2,X0,X1] :
      ( between(reflection(X1,X0),X1,reflection(X2,X1))
      | X0 != X2 ),
    inference(superposition,[],[f2176,f610]) ).

fof(f2269,plain,
    ! [X2,X0,X1] :
      ( between(X2,X0,reflection(X1,X0))
      | reflection(X0,X1) != X2 ),
    inference(forward_demodulation,[],[f2255,f39]) ).

fof(f2255,plain,
    ! [X2,X0,X1] :
      ( between(reflection(X2,X2),X0,reflection(X1,X0))
      | reflection(X0,X1) != X2 ),
    inference(superposition,[],[f2176,f126]) ).

fof(f2268,plain,
    ! [X2,X0,X1] :
      ( between(X2,X0,reflection(X1,X0))
      | reflection(X0,X1) != X2 ),
    inference(forward_demodulation,[],[f2254,f48]) ).

fof(f2254,plain,
    ! [X2,X3,X0,X1] :
      ( between(reflection(reflection(X2,X3),X3),X0,reflection(X1,X0))
      | reflection(X0,X1) != X2 ),
    inference(superposition,[],[f2176,f761]) ).

fof(f2253,plain,
    ! [X0,X1] : between(X0,reflection(X0,X1),reflection(X1,reflection(X0,X1))),
    inference(superposition,[],[f2176,f48]) ).

fof(f2252,plain,
    ! [X2,X0,X1] :
      ( between(X2,reflection(X0,X1),reflection(X1,reflection(X0,X1)))
      | X0 != X2 ),
    inference(superposition,[],[f2176,f761]) ).

fof(f2250,plain,
    ! [X2,X0,X1] :
      ( between(reflection(X2,X1),X0,reflection(X1,X0))
      | X0 != X2 ),
    inference(superposition,[],[f2176,f610]) ).

fof(f2249,plain,
    ! [X2,X0,X1] :
      ( between(reflection(X2,X1),X0,reflection(X1,X0))
      | X0 != X2 ),
    inference(superposition,[],[f2176,f610]) ).

fof(f2246,plain,
    ! [X0,X1] :
      ( reflection(X1,X0) = X0
      | reflection(X0,X1) != reflection(X1,X0) ),
    inference(resolution,[],[f2176,f662]) ).

fof(f2245,plain,
    ! [X0,X1] :
      ( reflection(X0,X1) = X0
      | reflection(X0,X1) != reflection(X1,X0) ),
    inference(resolution,[],[f2176,f575]) ).

fof(f2244,plain,
    ! [X0,X1] : insertion(reflection(X0,X1),reflection(X1,X0),reflection(X0,X1),X0) = X0,
    inference(resolution,[],[f2176,f78]) ).

fof(f2243,plain,
    ! [X2,X0,X1] :
      ( ~ between(reflection(X0,X1),X2,X0)
      | between(reflection(X0,X1),X2,reflection(X1,X0)) ),
    inference(resolution,[],[f2176,f62]) ).

fof(f2242,plain,
    ! [X2,X0,X1] :
      ( ~ between(X0,X1,reflection(X2,X0))
      | between(reflection(X0,X2),X1,reflection(X2,X0)) ),
    inference(resolution,[],[f2176,f61]) ).

fof(f2241,plain,
    ! [X2,X0,X1] :
      ( reflection(X1,X0) = X0
      | ~ between(X0,reflection(X1,X0),X2)
      | between(reflection(X0,X1),X0,X2) ),
    inference(resolution,[],[f2176,f60]) ).

fof(f2240,plain,
    ! [X2,X0,X1] :
      ( reflection(X1,X0) = X0
      | ~ between(X0,reflection(X1,X0),X2)
      | between(reflection(X0,X1),reflection(X1,X0),X2) ),
    inference(resolution,[],[f2176,f59]) ).

fof(f2239,plain,
    ! [X2,X0,X1] :
      ( ~ between(reflection(X0,X1),X2,X0)
      | between(X2,X0,reflection(X1,X0)) ),
    inference(resolution,[],[f2176,f58]) ).

fof(f2238,plain,
    ! [X0,X1] :
      ( reflection(X0,X1) = X1
      | ~ between(reflection(X1,X0),reflection(X0,X1),X1) ),
    inference(resolution,[],[f2176,f54]) ).

fof(f2237,plain,
    ! [X0,X1] :
      ( ~ between(X0,reflection(X0,X1),reflection(X1,X0))
      | reflection(X0,X1) = X0 ),
    inference(resolution,[],[f2176,f53]) ).

fof(f2235,plain,
    ! [X0,X1] :
      ( reflection(X0,X1) = X0
      | reflection(X1,X0) = extension(reflection(X0,X1),X0,X0,reflection(X1,X0)) ),
    inference(resolution,[],[f2176,f44]) ).

fof(f2176,plain,
    ! [X0,X1] : between(reflection(X1,X0),X1,reflection(X0,X1)),
    inference(superposition,[],[f2127,f48]) ).

fof(f2230,plain,
    ! [X2,X0,X1] :
      ( between(reflection(X1,X0),X0,X2)
      | reflection(X0,X1) != X2 ),
    inference(forward_demodulation,[],[f2222,f39]) ).

fof(f2222,plain,
    ! [X2,X0,X1] :
      ( between(reflection(X1,X0),X0,reflection(X2,X2))
      | reflection(X0,X1) != X2 ),
    inference(superposition,[],[f2145,f126]) ).

fof(f2229,plain,
    ! [X2,X0,X1] :
      ( between(reflection(X1,X0),X0,X2)
      | reflection(X0,X1) != X2 ),
    inference(forward_demodulation,[],[f2221,f48]) ).

fof(f2221,plain,
    ! [X2,X3,X0,X1] :
      ( between(reflection(X1,X0),X0,reflection(reflection(X2,X3),X3))
      | reflection(X0,X1) != X2 ),
    inference(superposition,[],[f2145,f761]) ).

fof(f2220,plain,
    ! [X0,X1] : between(reflection(X1,reflection(X0,X1)),reflection(X0,X1),X0),
    inference(superposition,[],[f2145,f48]) ).

fof(f2219,plain,
    ! [X2,X0,X1] :
      ( between(reflection(X1,reflection(X0,X1)),reflection(X0,X1),X2)
      | X0 != X2 ),
    inference(superposition,[],[f2145,f761]) ).

fof(f2217,plain,
    ! [X2,X0,X1] :
      ( between(reflection(X1,X0),X0,reflection(X2,X1))
      | X0 != X2 ),
    inference(superposition,[],[f2145,f610]) ).

fof(f2216,plain,
    ! [X2,X0,X1] :
      ( between(reflection(X1,X0),X0,reflection(X2,X1))
      | X0 != X2 ),
    inference(superposition,[],[f2145,f610]) ).

fof(f2228,plain,
    ! [X2,X0,X1] :
      ( between(X2,X1,reflection(X1,X0))
      | reflection(X0,X1) != X2 ),
    inference(forward_demodulation,[],[f2213,f39]) ).

fof(f2213,plain,
    ! [X2,X0,X1] :
      ( between(reflection(X2,X2),X1,reflection(X1,X0))
      | reflection(X0,X1) != X2 ),
    inference(superposition,[],[f2145,f126]) ).

fof(f2227,plain,
    ! [X2,X0,X1] :
      ( between(X2,X1,reflection(X1,X0))
      | reflection(X0,X1) != X2 ),
    inference(forward_demodulation,[],[f2212,f48]) ).

fof(f2212,plain,
    ! [X2,X3,X0,X1] :
      ( between(reflection(reflection(X2,X3),X3),X1,reflection(X1,X0))
      | reflection(X0,X1) != X2 ),
    inference(superposition,[],[f2145,f761]) ).

fof(f2210,plain,
    ! [X2,X0,X1] :
      ( between(X2,X1,reflection(X1,reflection(X0,X1)))
      | X0 != X2 ),
    inference(superposition,[],[f2145,f761]) ).

fof(f2208,plain,
    ! [X2,X0,X1] :
      ( between(reflection(X2,X1),X1,reflection(X1,X0))
      | X0 != X2 ),
    inference(superposition,[],[f2145,f610]) ).

fof(f2207,plain,
    ! [X2,X0,X1] :
      ( between(reflection(X2,X1),X1,reflection(X1,X0))
      | X0 != X2 ),
    inference(superposition,[],[f2145,f610]) ).

fof(f2204,plain,
    ! [X0,X1] :
      ( reflection(X0,X1) = X0
      | reflection(X0,X1) != reflection(X1,X0) ),
    inference(resolution,[],[f2145,f662]) ).

fof(f2203,plain,
    ! [X0,X1] :
      ( reflection(X0,X1) = X1
      | reflection(X0,X1) != reflection(X1,X0) ),
    inference(resolution,[],[f2145,f575]) ).

fof(f2202,plain,
    ! [X0,X1] : insertion(reflection(X0,X1),reflection(X1,X0),reflection(X0,X1),X1) = X1,
    inference(resolution,[],[f2145,f78]) ).

fof(f2201,plain,
    ! [X2,X0,X1] :
      ( ~ between(reflection(X0,X1),X2,X1)
      | between(reflection(X0,X1),X2,reflection(X1,X0)) ),
    inference(resolution,[],[f2145,f62]) ).

fof(f2200,plain,
    ! [X2,X0,X1] :
      ( ~ between(X0,X1,reflection(X0,X2))
      | between(reflection(X2,X0),X1,reflection(X0,X2)) ),
    inference(resolution,[],[f2145,f61]) ).

fof(f2226,plain,
    ! [X2,X0,X1] :
      ( ~ between(X0,reflection(X0,X1),X2)
      | between(reflection(X1,X0),X0,X2) ),
    inference(global_subsumption,[],[f92,f68,f47,f93,f46,f94,f79,f45,f8,f9,f76,f77,f55,f56,f96,f14,f15,f16,f74,f22,f86,f85,f84,f43,f70,f81,f82,f83,f69,f42,f72,f17,f18,f80,f13,f73,f71,f6,f63,f64,f65,f91,f10,f11,f12,f49,f52,f1,f25,f39,f41,f36,f7,f34,f37,f48,f103,f66,f102,f3,f4,f19,f20,f21,f40,f51,f88,f89,f90,f95,f114,f118,f5,f124,f126,f138,f141,f147,f161,f162,f163,f151,f155,f159,f160,f127,f23,f171,f176,f75,f182,f135,f164,f186,f190,f168,f193,f197,f26,f199,f206,f208,f211,f204,f216,f218,f210,f201,f203,f229,f226,f230,f27,f244,f249,f253,f239,f257,f261,f242,f246,f205,f286,f241,f291,f243,f298,f28,f310,f316,f308,f321,f322,f325,f313,f328,f329,f333,f245,f335,f340,f281,f341,f347,f288,f350,f354,f294,f356,f361,f309,f364,f367,f319,f371,f375,f29,f387,f412,f398,f420,f30,f187,f452,f453,f454,f455,f462,f461,f466,f467,f194,f470,f478,f471,f473,f480,f460,f484,f490,f486,f493,f31,f32,f152,f565,f568,f53,f578,f579,f580,f581,f577,f587,f591,f593,f165,f595,f596,f597,f598,f599,f600,f601,f594,f605,f166,f607,f609,f611,f167,f614,f615,f616,f617,f618,f619,f178,f622,f623,f629,f626,f633,f213,f638,f639,f641,f642,f643,f221,f646,f647,f649,f650,f255,f653,f656,f659,f54,f664,f666,f668,f669,f667,f675,f679,f681,f263,f683,f686,f271,f697,f280,f78,f712,f713,f714,f715,f706,f716,f711,f728,f739,f730,f610,f740,f742,f743,f744,f746,f747,f749,f750,f751,f753,f754,f755,f756,f760,f764,f765,f766,f767,f768,f769,f776,f777,f778,f779,f780,f782,f783,f784,f785,f787,f788,f789,f792,f793,f794,f795,f797,f798,f799,f800,f801,f802,f803,f804,f805,f806,f807,f808,f809,f810,f811,f812,f813,f815,f816,f817,f818,f819,f786,f822,f823,f826,f827,f825,f833,f834,f837,f58,f843,f845,f847,f849,f850,f842,f855,f856,f858,f857,f861,f862,f864,f870,f846,f872,f873,f874,f875,f876,f877,f878,f880,f883,f884,f886,f888,f848,f895,f896,f899,f900,f904,f879,f907,f908,f909,f910,f911,f912,f913,f915,f918,f919,f923,f921,f931,f932,f935,f936,f940,f61,f943,f944,f945,f946,f947,f948,f950,f951,f952,f949,f956,f957,f958,f959,f960,f964,f965,f967,f969,f961,f971,f972,f973,f974,f975,f977,f979,f980,f982,f984,f759,f986,f987,f988,f989,f990,f991,f992,f993,f995,f996,f997,f1000,f761,f1001,f1003,f1004,f1005,f1006,f1118,f1119,f1012,f1013,f1014,f1015,f1016,f1019,f1020,f1024,f1025,f1026,f1027,f1028,f1029,f1030,f1031,f1032,f1033,f1034,f1035,f1036,f1037,f1038,f1039,f1040,f1041,f1042,f1043,f1044,f1045,f1046,f1047,f1048,f1049,f1050,f1051,f1052,f1053,f1120,f1121,f1122,f1123,f1124,f1125,f1126,f1127,f1128,f1129,f1064,f1065,f1066,f1067,f1068,f1069,f1072,f1076,f1135,f1078,f1136,f1137,f1138,f1145,f1089,f1146,f1091,f1092,f1147,f1148,f1149,f1150,f1151,f1152,f1153,f1154,f1155,f1156,f1103,f1104,f1105,f1106,f1157,f1158,f1159,f1160,f1161,f1162,f1163,f1164,f1115,f1116,f1117,f62,f1167,f1168,f1169,f1171,f1172,f1173,f1174,f1175,f1176,f1177,f1178,f1166,f1183,f1184,f1185,f1186,f1188,f1187,f1191,f1192,f1194,f1195,f1202,f1203,f1170,f1206,f1207,f1208,f1209,f1210,f1211,f1214,f1215,f1217,f1218,f1221,f1222,f1205,f1227,f1228,f1229,f1230,f1231,f1232,f1235,f1236,f1238,f1239,f1242,f1243,f762,f1244,f1245,f1246,f1247,f1248,f1249,f1251,f1253,f1254,f1255,f1256,f1260,f1261,f770,f1264,f1265,f1267,f1268,f1269,f1270,f1272,f1273,f1274,f1275,f1279,f1280,f771,f1282,f1283,f1285,f1286,f1288,f1290,f1291,f1292,f1293,f1297,f1298,f772,f1299,f1302,f1305,f1306,f1308,f1309,f1310,f1311,f1315,f1316,f773,f1317,f1323,f1324,f1326,f1327,f1328,f1329,f1333,f1334,f774,f1339,f1343,f1345,f1346,f1347,f1348,f1352,f1353,f87,f1359,f1360,f1361,f1362,f1373,f1374,f1375,f1376,f1378,f1379,f1381,f1383,f1384,f775,f1394,f1395,f1397,f1398,f1399,f1400,f1404,f1405,f67,f1407,f1408,f1409,f1410,f1411,f1412,f1413,f1420,f1421,f1417,f1422,f1423,f44,f1427,f1428,f1429,f1430,f1431,f1432,f1433,f1434,f1435,f1436,f1437,f1438,f1439,f1440,f1442,f1443,f1458,f1459,f575,f1466,f1467,f1468,f1469,f1470,f1471,f1472,f1473,f1477,f1474,f1478,f1475,f1479,f709,f1480,f1481,f662,f1494,f1506,f1495,f1496,f1497,f1498,f1508,f1499,f1509,f1501,f1502,f1503,f1504,f1505,f708,f1510,f1511,f1464,f1523,f1524,f576,f1530,f1531,f1538,f1539,f665,f1540,f1542,f1543,f1544,f1545,f1548,f1549,f1556,f1558,f1559,f710,f1575,f1576,f1565,f1566,f1414,f1577,f1578,f1579,f1580,f1581,f1582,f1583,f1584,f1585,f1586,f1593,f1595,f1596,f1594,f1604,f1605,f1612,f1608,f1609,f1613,f1597,f1615,f1616,f1617,f1618,f1619,f1620,f1621,f1622,f1629,f1625,f1626,f1630,f1598,f1631,f1633,f1634,f1636,f1637,f1638,f1639,f1646,f1642,f1643,f1647,f1599,f1648,f1649,f1652,f1654,f1655,f1656,f1663,f1659,f1660,f1664,f1600,f1665,f1669,f1670,f1672,f1673,f1680,f1676,f1677,f1681,f1601,f1683,f1685,f1689,f1690,f1697,f1693,f1694,f1698,f1602,f1701,f1706,f1707,f1714,f1710,f1711,f1715,f1603,f1723,f1724,f1731,f1727,f1728,f1732,f2,f1734,f1735,f1736,f1738,f1739,f1740,f1741,f1743,f1744,f1745,f1746,f1747,f1748,f1749,f1750,f1751,f1752,f1753,f1754,f1755,f1756,f1757,f1758,f1759,f1760,f1761,f1762,f1763,f1764,f1765,f1766,f1767,f1768,f1769,f1770,f1771,f1772,f1773,f1774,f1775,f1776,f1777,f1778,f1779,f1780,f1781,f1782,f1783,f1784,f1785,f1786,f1787,f1788,f1789,f24,f1790,f1820,f1792,f1821,f1822,f1796,f1823,f1798,f1799,f1800,f1824,f1803,f1805,f1825,f1814,f1826,f1816,f1817,f1818,f1819,f1832,f1833,f1733,f1837,f1840,f1868,f1843,f1870,f1849,f1872,f1873,f1853,f1861,f1863,f33,f1885,f1886,f1887,f1889,f1890,f1891,f1892,f1894,f1895,f1896,f1897,f1898,f1899,f1900,f1901,f1902,f1903,f1904,f1905,f1906,f1907,f1908,f1909,f1910,f1911,f1912,f1913,f1914,f1915,f1916,f1917,f1918,f1919,f1920,f1921,f1922,f1923,f1924,f1925,f1926,f1927,f1928,f1929,f1930,f1931,f1932,f1933,f1934,f1935,f1936,f1937,f1938,f1939,f1940,f1836,f1942,f1947,f1948,f1949,f1950,f1943,f1955,f1963,f1884,f1972,f1975,f1981,f1985,f1994,f1996,f59,f2020,f2034,f2022,f2023,f2024,f2025,f2026,f2027,f2028,f2029,f2030,f2031,f2032,f2033,f1846,f2036,f2037,f2038,f2040,f2041,f2042,f2043,f2044,f1851,f2049,f2050,f2054,f2055,f2056,f2057,f1978,f2062,f2065,f2066,f2070,f1983,f2075,f2083,f60,f2091,f2092,f2093,f2094,f2095,f2096,f2097,f2098,f2099,f2100,f2101,f2102,f2103,f2105,f2107,f2109,f2110,f2111,f2112,f2113,f2114,f2117,f2118,f2120,f2121,f2124,f2125,f2108,f2126,f2128,f2129,f2130,f2131,f2132,f2133,f2134,f2135,f2136,f2137,f2153,f2138,f2141,f2142,f2144,f2154,f2155,f2148,f2149,f2156,f2157,f2127,f2158,f2160,f2161,f2162,f2163,f2164,f2165,f2166,f2167,f2168,f2184,f2169,f2172,f2173,f2175,f2176,f2185,f2186,f2179,f2180,f2187,f2188,f2145,f2193,f2194,f2195,f2196,f2197,f2198,f2199]) ).

fof(f2199,plain,
    ! [X2,X0,X1] :
      ( reflection(X0,X1) = X0
      | ~ between(X0,reflection(X0,X1),X2)
      | between(reflection(X1,X0),X0,X2) ),
    inference(resolution,[],[f2145,f60]) ).

fof(f2198,plain,
    ! [X2,X0,X1] :
      ( reflection(X0,X1) = X0
      | ~ between(X0,reflection(X0,X1),X2)
      | between(reflection(X1,X0),reflection(X0,X1),X2) ),
    inference(resolution,[],[f2145,f59]) ).

fof(f2197,plain,
    ! [X2,X0,X1] :
      ( ~ between(reflection(X0,X1),X2,X1)
      | between(X2,X1,reflection(X1,X0)) ),
    inference(resolution,[],[f2145,f58]) ).

fof(f2196,plain,
    ! [X0,X1] :
      ( reflection(X0,X1) = X0
      | ~ between(reflection(X1,X0),reflection(X0,X1),X0) ),
    inference(resolution,[],[f2145,f54]) ).

fof(f2195,plain,
    ! [X0,X1] :
      ( ~ between(X0,reflection(X1,X0),reflection(X0,X1))
      | reflection(X1,X0) = X0 ),
    inference(resolution,[],[f2145,f53]) ).

fof(f2194,plain,
    ! [X0,X1] : between(reflection(X0,X1),X0,reflection(X1,X0)),
    inference(resolution,[],[f2145,f51]) ).

fof(f2193,plain,
    ! [X0,X1] :
      ( reflection(X1,X0) = X0
      | reflection(X0,X1) = extension(reflection(X1,X0),X0,X0,reflection(X0,X1)) ),
    inference(resolution,[],[f2145,f44]) ).

fof(f2145,plain,
    ! [X0,X1] : between(reflection(X0,X1),X1,reflection(X1,X0)),
    inference(superposition,[],[f2108,f48]) ).

fof(f2188,plain,
    ! [X2,X0,X1] :
      ( between(X2,X0,X1)
      | reflection(X0,reflection(X1,X0)) != X2 ),
    inference(forward_demodulation,[],[f2183,f39]) ).

fof(f2183,plain,
    ! [X2,X0,X1] :
      ( between(reflection(X2,X2),X0,X1)
      | reflection(X0,reflection(X1,X0)) != X2 ),
    inference(superposition,[],[f2127,f126]) ).

fof(f2187,plain,
    ! [X2,X0,X1] :
      ( between(X2,X0,X1)
      | reflection(X0,reflection(X1,X0)) != X2 ),
    inference(forward_demodulation,[],[f2182,f48]) ).

fof(f2182,plain,
    ! [X2,X3,X0,X1] :
      ( between(reflection(reflection(X2,X3),X3),X0,X1)
      | reflection(X0,reflection(X1,X0)) != X2 ),
    inference(superposition,[],[f2127,f761]) ).

fof(f2180,plain,
    ! [X2,X0,X1] :
      ( between(reflection(X2,reflection(X1,X0)),X0,X1)
      | X0 != X2 ),
    inference(superposition,[],[f2127,f610]) ).

fof(f2179,plain,
    ! [X2,X0,X1] :
      ( between(reflection(X2,reflection(X1,X0)),X0,X1)
      | X0 != X2 ),
    inference(superposition,[],[f2127,f610]) ).

fof(f2186,plain,
    ! [X2,X0,X1] :
      ( between(reflection(X1,X2),X1,X0)
      | reflection(X0,X1) != X2 ),
    inference(forward_demodulation,[],[f2178,f39]) ).

fof(f2178,plain,
    ! [X2,X0,X1] :
      ( between(reflection(X1,reflection(X2,X2)),X1,X0)
      | reflection(X0,X1) != X2 ),
    inference(superposition,[],[f2127,f126]) ).

fof(f2185,plain,
    ! [X2,X0,X1] :
      ( between(reflection(X1,X2),X1,X0)
      | reflection(X0,X1) != X2 ),
    inference(forward_demodulation,[],[f2177,f48]) ).

fof(f2177,plain,
    ! [X2,X3,X0,X1] :
      ( between(reflection(X1,reflection(reflection(X2,X3),X3)),X1,X0)
      | reflection(X0,X1) != X2 ),
    inference(superposition,[],[f2127,f761]) ).

fof(f2175,plain,
    ! [X2,X0,X1] :
      ( between(reflection(X1,X2),X1,reflection(X0,X1))
      | X0 != X2 ),
    inference(superposition,[],[f2127,f761]) ).

fof(f2173,plain,
    ! [X2,X0,X1] :
      ( between(reflection(X1,reflection(X2,X1)),X1,X0)
      | X0 != X2 ),
    inference(superposition,[],[f2127,f610]) ).

fof(f2172,plain,
    ! [X2,X0,X1] :
      ( between(reflection(X1,reflection(X2,X1)),X1,X0)
      | X0 != X2 ),
    inference(superposition,[],[f2127,f610]) ).

fof(f2169,plain,
    ! [X0,X1] :
      ( X0 = X1
      | reflection(X0,reflection(X1,X0)) != X1 ),
    inference(resolution,[],[f2127,f662]) ).

fof(f2184,plain,
    ! [X0,X1] :
      ( X0 = X1
      | reflection(X0,reflection(X1,X0)) != X1 ),
    inference(inner_rewriting,[],[f2168]) ).

fof(f2168,plain,
    ! [X0,X1] :
      ( reflection(X0,reflection(X1,X0)) = X0
      | reflection(X0,reflection(X1,X0)) != X1 ),
    inference(resolution,[],[f2127,f575]) ).

fof(f2167,plain,
    ! [X0,X1] : insertion(reflection(X0,reflection(X1,X0)),X1,reflection(X0,reflection(X1,X0)),X0) = X0,
    inference(resolution,[],[f2127,f78]) ).

fof(f2166,plain,
    ! [X2,X0,X1] :
      ( ~ between(reflection(X0,reflection(X1,X0)),X2,X0)
      | between(reflection(X0,reflection(X1,X0)),X2,X1) ),
    inference(resolution,[],[f2127,f62]) ).

fof(f2165,plain,
    ! [X2,X0,X1] :
      ( ~ between(X0,X1,X2)
      | between(reflection(X0,reflection(X2,X0)),X1,X2) ),
    inference(resolution,[],[f2127,f61]) ).

fof(f2164,plain,
    ! [X2,X0,X1] :
      ( X0 = X1
      | ~ between(X0,X1,X2)
      | between(reflection(X0,reflection(X1,X0)),X0,X2) ),
    inference(resolution,[],[f2127,f60]) ).

fof(f2163,plain,
    ! [X2,X0,X1] :
      ( X0 = X1
      | ~ between(X0,X1,X2)
      | between(reflection(X0,reflection(X1,X0)),X1,X2) ),
    inference(resolution,[],[f2127,f59]) ).

fof(f2162,plain,
    ! [X2,X0,X1] :
      ( ~ between(reflection(X0,reflection(X1,X0)),X2,X0)
      | between(X2,X0,X1) ),
    inference(resolution,[],[f2127,f58]) ).

fof(f2161,plain,
    ! [X0,X1] :
      ( X0 = X1
      | ~ between(reflection(X1,reflection(X0,X1)),X0,X1) ),
    inference(resolution,[],[f2127,f54]) ).

fof(f2160,plain,
    ! [X0,X1] :
      ( ~ between(X0,reflection(X0,reflection(X1,X0)),X1)
      | reflection(X0,reflection(X1,X0)) = X0 ),
    inference(resolution,[],[f2127,f53]) ).

fof(f2158,plain,
    ! [X0,X1] :
      ( reflection(X0,reflection(X1,X0)) = X0
      | extension(reflection(X0,reflection(X1,X0)),X0,X0,X1) = X1 ),
    inference(resolution,[],[f2127,f44]) ).

fof(f2127,plain,
    ! [X0,X1] : between(reflection(X0,reflection(X1,X0)),X0,X1),
    inference(resolution,[],[f2108,f51]) ).

fof(f2157,plain,
    ! [X2,X0,X1] :
      ( between(X1,X0,X2)
      | reflection(X0,reflection(X1,X0)) != X2 ),
    inference(forward_demodulation,[],[f2152,f39]) ).

fof(f2152,plain,
    ! [X2,X0,X1] :
      ( between(X1,X0,reflection(X2,X2))
      | reflection(X0,reflection(X1,X0)) != X2 ),
    inference(superposition,[],[f2108,f126]) ).

fof(f2156,plain,
    ! [X2,X0,X1] :
      ( between(X1,X0,X2)
      | reflection(X0,reflection(X1,X0)) != X2 ),
    inference(forward_demodulation,[],[f2151,f48]) ).

fof(f2151,plain,
    ! [X2,X3,X0,X1] :
      ( between(X1,X0,reflection(reflection(X2,X3),X3))
      | reflection(X0,reflection(X1,X0)) != X2 ),
    inference(superposition,[],[f2108,f761]) ).

fof(f2149,plain,
    ! [X2,X0,X1] :
      ( between(X1,X0,reflection(X2,reflection(X1,X0)))
      | X0 != X2 ),
    inference(superposition,[],[f2108,f610]) ).

fof(f2148,plain,
    ! [X2,X0,X1] :
      ( between(X1,X0,reflection(X2,reflection(X1,X0)))
      | X0 != X2 ),
    inference(superposition,[],[f2108,f610]) ).

fof(f2155,plain,
    ! [X2,X0,X1] :
      ( between(X0,X1,reflection(X1,X2))
      | reflection(X0,X1) != X2 ),
    inference(forward_demodulation,[],[f2147,f39]) ).

fof(f2147,plain,
    ! [X2,X0,X1] :
      ( between(X0,X1,reflection(X1,reflection(X2,X2)))
      | reflection(X0,X1) != X2 ),
    inference(superposition,[],[f2108,f126]) ).

fof(f2154,plain,
    ! [X2,X0,X1] :
      ( between(X0,X1,reflection(X1,X2))
      | reflection(X0,X1) != X2 ),
    inference(forward_demodulation,[],[f2146,f48]) ).

fof(f2146,plain,
    ! [X2,X3,X0,X1] :
      ( between(X0,X1,reflection(X1,reflection(reflection(X2,X3),X3)))
      | reflection(X0,X1) != X2 ),
    inference(superposition,[],[f2108,f761]) ).

fof(f2144,plain,
    ! [X2,X0,X1] :
      ( between(reflection(X0,X1),X1,reflection(X1,X2))
      | X0 != X2 ),
    inference(superposition,[],[f2108,f761]) ).

fof(f2142,plain,
    ! [X2,X0,X1] :
      ( between(X0,X1,reflection(X1,reflection(X2,X1)))
      | X0 != X2 ),
    inference(superposition,[],[f2108,f610]) ).

fof(f2141,plain,
    ! [X2,X0,X1] :
      ( between(X0,X1,reflection(X1,reflection(X2,X1)))
      | X0 != X2 ),
    inference(superposition,[],[f2108,f610]) ).

fof(f2138,plain,
    ! [X0,X1] : between(X0,X1,reflection(reflection(X0,X1),reflection(X1,reflection(X0,X1)))),
    inference(resolution,[],[f2108,f2103]) ).

fof(f2153,plain,
    ! [X0,X1] :
      ( X0 = X1
      | reflection(X0,reflection(X1,X0)) != X1 ),
    inference(inner_rewriting,[],[f2137]) ).

fof(f2137,plain,
    ! [X0,X1] :
      ( reflection(X0,reflection(X1,X0)) = X0
      | reflection(X0,reflection(X1,X0)) != X1 ),
    inference(resolution,[],[f2108,f662]) ).

fof(f2136,plain,
    ! [X0,X1] :
      ( X0 = X1
      | reflection(X1,reflection(X0,X1)) != X0 ),
    inference(resolution,[],[f2108,f575]) ).

fof(f2135,plain,
    ! [X0,X1] : insertion(X0,reflection(X1,reflection(X0,X1)),X0,X1) = X1,
    inference(resolution,[],[f2108,f78]) ).

fof(f2134,plain,
    ! [X2,X0,X1] :
      ( ~ between(X0,X1,X2)
      | between(X0,X1,reflection(X2,reflection(X0,X2))) ),
    inference(resolution,[],[f2108,f62]) ).

fof(f2133,plain,
    ! [X2,X0,X1] :
      ( ~ between(X0,X1,reflection(X0,reflection(X2,X0)))
      | between(X2,X1,reflection(X0,reflection(X2,X0))) ),
    inference(resolution,[],[f2108,f61]) ).

fof(f2132,plain,
    ! [X2,X0,X1] :
      ( reflection(X0,reflection(X1,X0)) = X0
      | ~ between(X0,reflection(X0,reflection(X1,X0)),X2)
      | between(X1,X0,X2) ),
    inference(resolution,[],[f2108,f60]) ).

fof(f2131,plain,
    ! [X2,X0,X1] :
      ( reflection(X0,reflection(X1,X0)) = X0
      | ~ between(X0,reflection(X0,reflection(X1,X0)),X2)
      | between(X1,reflection(X0,reflection(X1,X0)),X2) ),
    inference(resolution,[],[f2108,f59]) ).

fof(f2130,plain,
    ! [X2,X0,X1] :
      ( ~ between(X0,X1,X2)
      | between(X1,X2,reflection(X2,reflection(X0,X2))) ),
    inference(resolution,[],[f2108,f58]) ).

fof(f2129,plain,
    ! [X0,X1] :
      ( reflection(X0,reflection(X1,X0)) = X0
      | ~ between(X1,reflection(X0,reflection(X1,X0)),X0) ),
    inference(resolution,[],[f2108,f54]) ).

fof(f2128,plain,
    ! [X0,X1] :
      ( ~ between(X0,X1,reflection(X0,reflection(X1,X0)))
      | X0 = X1 ),
    inference(resolution,[],[f2108,f53]) ).

fof(f2126,plain,
    ! [X0,X1] :
      ( X0 = X1
      | reflection(X0,reflection(X1,X0)) = extension(X1,X0,X0,reflection(X0,reflection(X1,X0))) ),
    inference(resolution,[],[f2108,f44]) ).

fof(f2108,plain,
    ! [X0,X1] : between(X0,X1,reflection(X1,reflection(X0,X1))),
    inference(resolution,[],[f2103,f36]) ).

fof(f2125,plain,
    ! [X2,X3,X0,X1] :
      ( ~ between(X1,X2,X3)
      | between(X0,X1,X3)
      | reflection(X0,X1) != X2 ),
    inference(forward_demodulation,[],[f2123,f39]) ).

fof(f2123,plain,
    ! [X2,X3,X0,X1] :
      ( ~ between(X1,reflection(X2,X2),X3)
      | between(X0,X1,X3)
      | reflection(X0,X1) != X2 ),
    inference(superposition,[],[f2103,f126]) ).

fof(f2124,plain,
    ! [X2,X0,X1,X4] :
      ( ~ between(X1,X2,X4)
      | between(X0,X1,X4)
      | reflection(X0,X1) != X2 ),
    inference(forward_demodulation,[],[f2122,f48]) ).

fof(f2122,plain,
    ! [X2,X3,X0,X1,X4] :
      ( ~ between(X1,reflection(reflection(X2,X3),X3),X4)
      | between(X0,X1,X4)
      | reflection(X0,X1) != X2 ),
    inference(superposition,[],[f2103,f761]) ).

fof(f2121,plain,
    ! [X2,X0,X1] :
      ( ~ between(X1,X0,X2)
      | between(reflection(X0,X1),X1,X2) ),
    inference(superposition,[],[f2103,f48]) ).

fof(f2120,plain,
    ! [X2,X3,X0,X1] :
      ( ~ between(X1,X2,X3)
      | between(reflection(X0,X1),X1,X3)
      | X0 != X2 ),
    inference(superposition,[],[f2103,f761]) ).

fof(f2118,plain,
    ! [X2,X3,X0,X1] :
      ( ~ between(X1,reflection(X2,X1),X3)
      | between(X0,X1,X3)
      | X0 != X2 ),
    inference(superposition,[],[f2103,f610]) ).

fof(f2117,plain,
    ! [X2,X3,X0,X1] :
      ( ~ between(X1,reflection(X2,X1),X3)
      | between(X0,X1,X3)
      | X0 != X2 ),
    inference(superposition,[],[f2103,f610]) ).

fof(f2114,plain,
    ! [X2,X0,X1] :
      ( between(X0,reflection(X1,X2),X1)
      | ~ between(X2,reflection(X0,reflection(X1,X2)),X1) ),
    inference(resolution,[],[f2103,f949]) ).

fof(f2113,plain,
    ! [X2,X0,X1] :
      ( between(X0,reflection(X1,X2),X1)
      | ~ between(X1,reflection(X0,reflection(X1,X2)),X2) ),
    inference(resolution,[],[f2103,f1205]) ).

fof(f2112,plain,
    ! [X2,X0,X1] :
      ( between(X0,X1,reflection(X1,X2))
      | ~ between(X2,reflection(X0,X1),X1) ),
    inference(resolution,[],[f2103,f961]) ).

fof(f2111,plain,
    ! [X2,X0,X1] :
      ( between(X0,X1,reflection(X1,X2))
      | ~ between(X1,reflection(X0,X1),X2) ),
    inference(resolution,[],[f2103,f1170]) ).

fof(f2110,plain,
    ! [X2,X0,X1] :
      ( between(X0,X1,reflection(X2,reflection(X0,X1)))
      | X1 != X2 ),
    inference(resolution,[],[f2103,f194]) ).

fof(f2109,plain,
    ! [X2,X0,X1] :
      ( between(X0,X1,reflection(X2,reflection(X0,X1)))
      | ~ between(X2,X1,reflection(X0,X1)) ),
    inference(resolution,[],[f2103,f846]) ).

fof(f2107,plain,
    ! [X2,X3,X0,X1] : between(X0,X1,extension(X1,reflection(X0,X1),X2,X3)),
    inference(resolution,[],[f2103,f4]) ).

fof(f2103,plain,
    ! [X2,X0,X1] :
      ( ~ between(X0,reflection(X1,X0),X2)
      | between(X1,X0,X2) ),
    inference(global_subsumption,[],[f92,f68,f47,f93,f46,f94,f79,f45,f8,f9,f76,f77,f55,f56,f96,f14,f15,f16,f74,f22,f86,f85,f84,f43,f70,f81,f82,f83,f69,f42,f72,f17,f18,f80,f13,f73,f71,f6,f63,f64,f65,f91,f10,f11,f12,f49,f52,f1,f25,f39,f41,f36,f7,f34,f37,f48,f103,f66,f102,f3,f4,f19,f20,f21,f40,f51,f88,f89,f90,f95,f114,f118,f5,f124,f126,f138,f141,f147,f161,f162,f163,f151,f155,f159,f160,f127,f23,f171,f176,f75,f182,f135,f164,f186,f190,f168,f193,f197,f26,f199,f206,f208,f211,f204,f216,f218,f210,f201,f203,f229,f226,f230,f27,f244,f249,f253,f239,f257,f261,f242,f246,f205,f286,f241,f291,f243,f298,f28,f310,f316,f308,f321,f322,f325,f313,f328,f329,f333,f245,f335,f340,f281,f341,f347,f288,f350,f354,f294,f356,f361,f309,f364,f367,f319,f371,f375,f29,f387,f412,f398,f420,f30,f187,f452,f453,f454,f455,f462,f461,f466,f467,f194,f470,f478,f471,f473,f480,f460,f484,f490,f486,f493,f31,f32,f152,f565,f568,f53,f578,f579,f580,f581,f577,f587,f591,f593,f165,f595,f596,f597,f598,f599,f600,f601,f594,f605,f166,f607,f609,f611,f167,f614,f615,f616,f617,f618,f619,f178,f622,f623,f629,f626,f633,f213,f638,f639,f641,f642,f643,f221,f646,f647,f649,f650,f255,f653,f656,f659,f54,f664,f666,f668,f669,f667,f675,f679,f681,f263,f683,f686,f271,f697,f280,f78,f712,f713,f714,f715,f706,f716,f711,f728,f739,f730,f610,f740,f742,f743,f744,f746,f747,f749,f750,f751,f753,f754,f755,f756,f760,f764,f765,f766,f767,f768,f769,f776,f777,f778,f779,f780,f782,f783,f784,f785,f787,f788,f789,f792,f793,f794,f795,f797,f798,f799,f800,f801,f802,f803,f804,f805,f806,f807,f808,f809,f810,f811,f812,f813,f815,f816,f817,f818,f819,f786,f822,f823,f826,f827,f825,f833,f834,f837,f58,f843,f845,f847,f849,f850,f842,f855,f856,f858,f857,f861,f862,f864,f870,f846,f872,f873,f874,f875,f876,f877,f878,f880,f883,f884,f886,f888,f848,f895,f896,f899,f900,f904,f879,f907,f908,f909,f910,f911,f912,f913,f915,f918,f919,f923,f921,f931,f932,f935,f936,f940,f61,f943,f944,f945,f946,f947,f948,f950,f951,f952,f949,f956,f957,f958,f959,f960,f964,f965,f967,f969,f961,f971,f972,f973,f974,f975,f977,f979,f980,f982,f984,f759,f986,f987,f988,f989,f990,f991,f992,f993,f995,f996,f997,f1000,f761,f1001,f1003,f1004,f1005,f1006,f1118,f1119,f1012,f1013,f1014,f1015,f1016,f1019,f1020,f1024,f1025,f1026,f1027,f1028,f1029,f1030,f1031,f1032,f1033,f1034,f1035,f1036,f1037,f1038,f1039,f1040,f1041,f1042,f1043,f1044,f1045,f1046,f1047,f1048,f1049,f1050,f1051,f1052,f1053,f1120,f1121,f1122,f1123,f1124,f1125,f1126,f1127,f1128,f1129,f1064,f1065,f1066,f1067,f1068,f1069,f1072,f1076,f1135,f1078,f1136,f1137,f1138,f1145,f1089,f1146,f1091,f1092,f1147,f1148,f1149,f1150,f1151,f1152,f1153,f1154,f1155,f1156,f1103,f1104,f1105,f1106,f1157,f1158,f1159,f1160,f1161,f1162,f1163,f1164,f1115,f1116,f1117,f62,f1167,f1168,f1169,f1171,f1172,f1173,f1174,f1175,f1176,f1177,f1178,f1166,f1183,f1184,f1185,f1186,f1188,f1187,f1191,f1192,f1194,f1195,f1202,f1203,f1170,f1206,f1207,f1208,f1209,f1210,f1211,f1214,f1215,f1217,f1218,f1221,f1222,f1205,f1227,f1228,f1229,f1230,f1231,f1232,f1235,f1236,f1238,f1239,f1242,f1243,f762,f1244,f1245,f1246,f1247,f1248,f1249,f1251,f1253,f1254,f1255,f1256,f1260,f1261,f770,f1264,f1265,f1267,f1268,f1269,f1270,f1272,f1273,f1274,f1275,f1279,f1280,f771,f1282,f1283,f1285,f1286,f1288,f1290,f1291,f1292,f1293,f1297,f1298,f772,f1299,f1302,f1305,f1306,f1308,f1309,f1310,f1311,f1315,f1316,f773,f1317,f1323,f1324,f1326,f1327,f1328,f1329,f1333,f1334,f774,f1339,f1343,f1345,f1346,f1347,f1348,f1352,f1353,f87,f1359,f1360,f1361,f1362,f1373,f1374,f1375,f1376,f1378,f1379,f1381,f1383,f1384,f775,f1394,f1395,f1397,f1398,f1399,f1400,f1404,f1405,f67,f1407,f1408,f1409,f1410,f1411,f1412,f1413,f1420,f1421,f1417,f1422,f1423,f44,f1427,f1428,f1429,f1430,f1431,f1432,f1433,f1434,f1435,f1436,f1437,f1438,f1439,f1440,f1442,f1443,f1458,f1459,f575,f1466,f1467,f1468,f1469,f1470,f1471,f1472,f1473,f1477,f1474,f1478,f1475,f1479,f709,f1480,f1481,f662,f1494,f1506,f1495,f1496,f1497,f1498,f1508,f1499,f1509,f1501,f1502,f1503,f1504,f1505,f708,f1510,f1511,f1464,f1523,f1524,f576,f1530,f1531,f1538,f1539,f665,f1540,f1542,f1543,f1544,f1545,f1548,f1549,f1556,f1558,f1559,f710,f1575,f1576,f1565,f1566,f1414,f1577,f1578,f1579,f1580,f1581,f1582,f1583,f1584,f1585,f1586,f1593,f1595,f1596,f1594,f1604,f1605,f1612,f1608,f1609,f1613,f1597,f1615,f1616,f1617,f1618,f1619,f1620,f1621,f1622,f1629,f1625,f1626,f1630,f1598,f1631,f1633,f1634,f1636,f1637,f1638,f1639,f1646,f1642,f1643,f1647,f1599,f1648,f1649,f1652,f1654,f1655,f1656,f1663,f1659,f1660,f1664,f1600,f1665,f1669,f1670,f1672,f1673,f1680,f1676,f1677,f1681,f1601,f1683,f1685,f1689,f1690,f1697,f1693,f1694,f1698,f1602,f1701,f1706,f1707,f1714,f1710,f1711,f1715,f1603,f1723,f1724,f1731,f1727,f1728,f1732,f2,f1734,f1735,f1736,f1738,f1739,f1740,f1741,f1743,f1744,f1745,f1746,f1747,f1748,f1749,f1750,f1751,f1752,f1753,f1754,f1755,f1756,f1757,f1758,f1759,f1760,f1761,f1762,f1763,f1764,f1765,f1766,f1767,f1768,f1769,f1770,f1771,f1772,f1773,f1774,f1775,f1776,f1777,f1778,f1779,f1780,f1781,f1782,f1783,f1784,f1785,f1786,f1787,f1788,f1789,f24,f1790,f1820,f1792,f1821,f1822,f1796,f1823,f1798,f1799,f1800,f1824,f1803,f1805,f1825,f1814,f1826,f1816,f1817,f1818,f1819,f1832,f1833,f1733,f1837,f1840,f1868,f1843,f1870,f1849,f1872,f1873,f1853,f1861,f1863,f33,f1885,f1886,f1887,f1889,f1890,f1891,f1892,f1894,f1895,f1896,f1897,f1898,f1899,f1900,f1901,f1902,f1903,f1904,f1905,f1906,f1907,f1908,f1909,f1910,f1911,f1912,f1913,f1914,f1915,f1916,f1917,f1918,f1919,f1920,f1921,f1922,f1923,f1924,f1925,f1926,f1927,f1928,f1929,f1930,f1931,f1932,f1933,f1934,f1935,f1936,f1937,f1938,f1939,f1940,f1836,f1942,f1947,f1948,f1949,f1950,f1943,f1955,f1963,f1884,f1972,f1975,f1981,f1985,f1994,f1996,f59,f2020,f2034,f2022,f2023,f2024,f2025,f2026,f2027,f2028,f2029,f2030,f2031,f2032,f2033,f1846,f2036,f2037,f2038,f2040,f2041,f2042,f2043,f2044,f1851,f2049,f2050,f2054,f2055,f2056,f2057,f1978,f2062,f2065,f2066,f2070,f1983,f2075,f2083,f60,f2091,f2092]) ).

fof(f2102,plain,
    ! [X2,X3,X0,X1,X4] :
      ( X0 = X1
      | ~ between(X0,X1,X2)
      | between(extension(X1,X0,X3,X4),X0,X2) ),
    inference(resolution,[],[f60,f118]) ).

fof(f2101,plain,
    ! [X2,X3,X0,X1] :
      ( X0 = X1
      | ~ between(X0,X1,X2)
      | between(reflection(X1,X3),X0,X2)
      | ~ between(X3,X0,X1) ),
    inference(resolution,[],[f60,f949]) ).

fof(f2100,plain,
    ! [X2,X3,X0,X1] :
      ( X0 = X1
      | ~ between(X0,X1,X2)
      | between(reflection(X1,X3),X0,X2)
      | ~ between(X1,X0,X3) ),
    inference(resolution,[],[f60,f1205]) ).

fof(f2099,plain,
    ! [X2,X3,X0,X1] :
      ( X0 = X1
      | ~ between(X0,X1,X2)
      | between(reflection(X3,X0),X0,X2)
      | X1 != X3 ),
    inference(resolution,[],[f60,f187]) ).

fof(f2098,plain,
    ! [X2,X3,X0,X1] :
      ( X0 = X1
      | ~ between(X0,X1,X2)
      | between(reflection(X3,X0),X0,X2)
      | ~ between(X3,X1,X0) ),
    inference(resolution,[],[f60,f879]) ).

fof(f2097,plain,
    ! [X2,X0,X1] :
      ( X0 = X1
      | ~ between(X0,X1,X2)
      | between(reflection(X1,X0),X0,X2) ),
    inference(resolution,[],[f60,f103]) ).

fof(f2096,plain,
    ! [X2,X3,X0,X1] :
      ( reflection(X1,X2) = X0
      | ~ between(X0,reflection(X1,X2),X3)
      | between(X1,X0,X3)
      | ~ between(X2,X0,X1) ),
    inference(resolution,[],[f60,f961]) ).

fof(f2095,plain,
    ! [X2,X3,X0,X1] :
      ( reflection(X1,X2) = X0
      | ~ between(X0,reflection(X1,X2),X3)
      | between(X1,X0,X3)
      | ~ between(X1,X0,X2) ),
    inference(resolution,[],[f60,f1170]) ).

fof(f2094,plain,
    ! [X2,X3,X0,X1] :
      ( reflection(X1,X0) = X0
      | ~ between(X0,reflection(X1,X0),X2)
      | between(X3,X0,X2)
      | X1 != X3 ),
    inference(resolution,[],[f60,f194]) ).

fof(f2093,plain,
    ! [X2,X3,X0,X1] :
      ( reflection(X1,X0) = X0
      | ~ between(X0,reflection(X1,X0),X2)
      | between(X3,X0,X2)
      | ~ between(X1,X3,X0) ),
    inference(resolution,[],[f60,f846]) ).

fof(f2092,plain,
    ! [X2,X0,X1] :
      ( reflection(X1,X0) = X0
      | ~ between(X0,reflection(X1,X0),X2)
      | between(X1,X0,X2) ),
    inference(resolution,[],[f60,f36]) ).

fof(f2091,plain,
    ! [X2,X3,X0,X1,X4] :
      ( extension(X1,X0,X2,X3) = X0
      | ~ between(X0,extension(X1,X0,X2,X3),X4)
      | between(X1,X0,X4) ),
    inference(resolution,[],[f60,f4]) ).

fof(f60,axiom,
    ! [X3,X10,X0,X5] :
      ( ~ between(X10,X3,X5)
      | X3 = X5
      | ~ between(X3,X5,X0)
      | between(X10,X3,X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',b7) ).

fof(f2083,plain,
    ! [X2,X3,X0,X1,X4] :
      ( reflection(X0,X1) != X1
      | ~ equidistant(X0,X1,X2,X3)
      | equidistant(X4,X4,X2,X3) ),
    inference(resolution,[],[f1983,f33]) ).

fof(f2075,plain,
    ! [X2,X3,X0,X1,X4] :
      ( reflection(X0,X1) != X1
      | ~ equidistant(X2,X2,X3,X4)
      | equidistant(X3,X4,X0,X1) ),
    inference(resolution,[],[f1983,f2]) ).

fof(f1983,plain,
    ! [X2,X0,X1] :
      ( equidistant(X0,X0,X1,X2)
      | reflection(X1,X2) != X2 ),
    inference(resolution,[],[f1884,f165]) ).

fof(f2070,plain,
    ! [X2,X3,X0,X1,X4] :
      ( reflection(X0,X1) != X1
      | ~ equidistant(X1,X0,X2,X3)
      | equidistant(X4,X4,X2,X3) ),
    inference(resolution,[],[f1978,f33]) ).

fof(f2066,plain,
    ! [X2,X0,X1] :
      ( reflection(X0,X1) != X1
      | equidistant(X2,X2,X0,X1) ),
    inference(resolution,[],[f1978,f29]) ).

fof(f2065,plain,
    ! [X2,X0,X1] :
      ( reflection(X0,X1) != X1
      | equidistant(X2,X2,X0,X1) ),
    inference(resolution,[],[f1978,f28]) ).

fof(f2062,plain,
    ! [X2,X3,X0,X1,X4] :
      ( reflection(X0,X1) != X1
      | ~ equidistant(X2,X2,X3,X4)
      | equidistant(X3,X4,X1,X0) ),
    inference(resolution,[],[f1978,f2]) ).

fof(f1978,plain,
    ! [X2,X0,X1] :
      ( equidistant(X0,X0,X1,X2)
      | reflection(X2,X1) != X1 ),
    inference(resolution,[],[f1884,f221]) ).

fof(f2057,plain,
    ! [X2,X3,X0,X1,X4] :
      ( reflection(X0,X1) != X1
      | ~ equidistant(X2,X2,X3,X4)
      | equidistant(X0,X1,X3,X4) ),
    inference(resolution,[],[f1851,f33]) ).

fof(f2056,plain,
    ! [X2,X0,X1] :
      ( reflection(X0,X1) != X1
      | equidistant(X2,X2,X1,X0) ),
    inference(resolution,[],[f1851,f32]) ).

fof(f2055,plain,
    ! [X2,X0,X1] :
      ( reflection(X0,X1) != X1
      | equidistant(X2,X2,X0,X1) ),
    inference(resolution,[],[f1851,f31]) ).

fof(f2054,plain,
    ! [X2,X0,X1] :
      ( reflection(X0,X1) != X1
      | equidistant(X2,X2,X1,X0) ),
    inference(resolution,[],[f1851,f30]) ).

fof(f2050,plain,
    ! [X2,X0,X1] :
      ( reflection(X0,X1) != X1
      | equidistant(X2,X2,X0,X1) ),
    inference(resolution,[],[f1851,f26]) ).

fof(f2049,plain,
    ! [X2,X3,X0,X1,X4] :
      ( reflection(X0,X1) != X1
      | ~ equidistant(X0,X1,X2,X3)
      | equidistant(X2,X3,X4,X4) ),
    inference(resolution,[],[f1851,f2]) ).

fof(f1851,plain,
    ! [X2,X0,X1] :
      ( equidistant(X0,X1,X2,X2)
      | reflection(X0,X1) != X1 ),
    inference(resolution,[],[f1733,f165]) ).

fof(f2044,plain,
    ! [X2,X3,X0,X1,X4] :
      ( reflection(X0,X1) != X1
      | ~ equidistant(X2,X2,X3,X4)
      | equidistant(X1,X0,X3,X4) ),
    inference(resolution,[],[f1846,f33]) ).

fof(f2043,plain,
    ! [X2,X0,X1] :
      ( reflection(X0,X1) != X1
      | equidistant(X2,X2,X0,X1) ),
    inference(resolution,[],[f1846,f32]) ).

fof(f2042,plain,
    ! [X2,X0,X1] :
      ( reflection(X0,X1) != X1
      | equidistant(X2,X2,X1,X0) ),
    inference(resolution,[],[f1846,f31]) ).

fof(f2041,plain,
    ! [X2,X0,X1] :
      ( reflection(X0,X1) != X1
      | equidistant(X2,X2,X0,X1) ),
    inference(resolution,[],[f1846,f30]) ).

fof(f2040,plain,
    ! [X2,X0,X1] :
      ( reflection(X0,X1) != X1
      | equidistant(X0,X1,X2,X2) ),
    inference(resolution,[],[f1846,f29]) ).

fof(f2038,plain,
    ! [X2,X0,X1] :
      ( reflection(X0,X1) != X1
      | equidistant(X0,X1,X2,X2) ),
    inference(resolution,[],[f1846,f27]) ).

fof(f2037,plain,
    ! [X2,X0,X1] :
      ( reflection(X0,X1) != X1
      | equidistant(X2,X2,X1,X0) ),
    inference(resolution,[],[f1846,f26]) ).

fof(f2036,plain,
    ! [X2,X3,X0,X1,X4] :
      ( reflection(X0,X1) != X1
      | ~ equidistant(X1,X0,X2,X3)
      | equidistant(X2,X3,X4,X4) ),
    inference(resolution,[],[f1846,f2]) ).

fof(f1846,plain,
    ! [X2,X0,X1] :
      ( equidistant(X0,X1,X2,X2)
      | reflection(X1,X0) != X0 ),
    inference(resolution,[],[f1733,f221]) ).

fof(f2033,plain,
    ! [X2,X3,X0,X1,X4] :
      ( X0 = X1
      | ~ between(X0,X1,X2)
      | between(extension(X1,X0,X3,X4),X1,X2) ),
    inference(resolution,[],[f59,f118]) ).

fof(f2032,plain,
    ! [X2,X3,X0,X1] :
      ( X0 = X1
      | ~ between(X0,X1,X2)
      | between(reflection(X1,X3),X1,X2)
      | ~ between(X3,X0,X1) ),
    inference(resolution,[],[f59,f949]) ).

fof(f2031,plain,
    ! [X2,X3,X0,X1] :
      ( X0 = X1
      | ~ between(X0,X1,X2)
      | between(reflection(X1,X3),X1,X2)
      | ~ between(X1,X0,X3) ),
    inference(resolution,[],[f59,f1205]) ).

fof(f2030,plain,
    ! [X2,X3,X0,X1] :
      ( X0 = X1
      | ~ between(X0,X1,X2)
      | between(reflection(X3,X0),X1,X2)
      | X1 != X3 ),
    inference(resolution,[],[f59,f187]) ).

fof(f2029,plain,
    ! [X2,X3,X0,X1] :
      ( X0 = X1
      | ~ between(X0,X1,X2)
      | between(reflection(X3,X0),X1,X2)
      | ~ between(X3,X1,X0) ),
    inference(resolution,[],[f59,f879]) ).

fof(f2028,plain,
    ! [X2,X0,X1] :
      ( X0 = X1
      | ~ between(X0,X1,X2)
      | between(reflection(X1,X0),X1,X2) ),
    inference(resolution,[],[f59,f103]) ).

fof(f2027,plain,
    ! [X2,X3,X0,X1] :
      ( reflection(X1,X2) = X0
      | ~ between(X0,reflection(X1,X2),X3)
      | between(X1,reflection(X1,X2),X3)
      | ~ between(X2,X0,X1) ),
    inference(resolution,[],[f59,f961]) ).

fof(f2026,plain,
    ! [X2,X3,X0,X1] :
      ( reflection(X1,X2) = X0
      | ~ between(X0,reflection(X1,X2),X3)
      | between(X1,reflection(X1,X2),X3)
      | ~ between(X1,X0,X2) ),
    inference(resolution,[],[f59,f1170]) ).

fof(f2025,plain,
    ! [X2,X3,X0,X1] :
      ( reflection(X1,X0) = X0
      | ~ between(X0,reflection(X1,X0),X2)
      | between(X3,reflection(X1,X0),X2)
      | X1 != X3 ),
    inference(resolution,[],[f59,f194]) ).

fof(f2024,plain,
    ! [X2,X3,X0,X1] :
      ( reflection(X1,X0) = X0
      | ~ between(X0,reflection(X1,X0),X2)
      | between(X3,reflection(X1,X0),X2)
      | ~ between(X1,X3,X0) ),
    inference(resolution,[],[f59,f846]) ).

fof(f2023,plain,
    ! [X2,X0,X1] :
      ( reflection(X1,X0) = X0
      | ~ between(X0,reflection(X1,X0),X2)
      | between(X1,reflection(X1,X0),X2) ),
    inference(resolution,[],[f59,f36]) ).

fof(f2022,plain,
    ! [X2,X3,X0,X1,X4] :
      ( extension(X1,X0,X2,X3) = X0
      | ~ between(X0,extension(X1,X0,X2,X3),X4)
      | between(X1,extension(X1,X0,X2,X3),X4) ),
    inference(resolution,[],[f59,f4]) ).

fof(f2034,plain,
    ! [X2,X3,X0,X1] :
      ( ~ between(X0,X1,X2)
      | between(X3,X1,X2)
      | X0 != X3 ),
    inference(global_subsumption,[],[f92,f68,f47,f93,f46,f94,f79,f45,f8,f9,f76,f77,f55,f56,f96,f60,f14,f15,f16,f74,f22,f86,f85,f84,f43,f70,f81,f82,f83,f69,f42,f72,f17,f18,f80,f13,f73,f71,f6,f63,f64,f65,f91,f10,f11,f12,f49,f52,f1,f25,f39,f41,f36,f7,f34,f37,f48,f103,f66,f102,f3,f4,f19,f20,f21,f40,f51,f88,f89,f90,f95,f114,f118,f5,f124,f126,f138,f141,f147,f161,f162,f163,f151,f155,f159,f160,f127,f23,f171,f176,f75,f182,f135,f164,f186,f190,f168,f193,f197,f26,f199,f206,f208,f211,f204,f216,f218,f210,f201,f203,f229,f226,f230,f27,f244,f249,f253,f239,f257,f261,f242,f246,f205,f286,f241,f291,f243,f298,f28,f310,f316,f308,f321,f322,f325,f313,f328,f329,f333,f245,f335,f340,f281,f341,f347,f288,f350,f354,f294,f356,f361,f309,f364,f367,f319,f371,f375,f29,f387,f412,f398,f420,f30,f187,f452,f453,f454,f455,f462,f461,f466,f467,f194,f470,f478,f471,f473,f480,f460,f484,f490,f486,f493,f31,f32,f152,f565,f568,f53,f578,f579,f580,f581,f577,f587,f591,f593,f165,f595,f596,f597,f598,f599,f600,f601,f594,f605,f166,f607,f609,f611,f167,f614,f615,f616,f617,f618,f619,f178,f622,f623,f629,f626,f633,f213,f638,f639,f641,f642,f643,f221,f646,f647,f649,f650,f255,f653,f656,f659,f54,f664,f666,f668,f669,f667,f675,f679,f681,f263,f683,f686,f271,f697,f280,f78,f712,f713,f714,f715,f706,f716,f711,f728,f739,f730,f610,f740,f742,f743,f744,f746,f747,f749,f750,f751,f753,f754,f755,f756,f760,f764,f765,f766,f767,f768,f769,f776,f777,f778,f779,f780,f782,f783,f784,f785,f787,f788,f789,f792,f793,f794,f795,f797,f798,f799,f800,f801,f802,f803,f804,f805,f806,f807,f808,f809,f810,f811,f812,f813,f815,f816,f817,f818,f819,f786,f822,f823,f826,f827,f825,f833,f834,f837,f58,f843,f845,f847,f849,f850,f842,f855,f856,f858,f857,f861,f862,f864,f870,f846,f872,f873,f874,f875,f876,f877,f878,f880,f883,f884,f886,f888,f848,f895,f896,f899,f900,f904,f879,f907,f908,f909,f910,f911,f912,f913,f915,f918,f919,f923,f921,f931,f932,f935,f936,f940,f61,f943,f944,f945,f946,f947,f948,f950,f951,f952,f949,f956,f957,f958,f959,f960,f964,f965,f967,f969,f961,f971,f972,f973,f974,f975,f977,f979,f980,f982,f984,f759,f986,f987,f988,f989,f990,f991,f992,f993,f995,f996,f997,f1000,f761,f1001,f1003,f1004,f1005,f1006,f1118,f1119,f1012,f1013,f1014,f1015,f1016,f1019,f1020,f1024,f1025,f1026,f1027,f1028,f1029,f1030,f1031,f1032,f1033,f1034,f1035,f1036,f1037,f1038,f1039,f1040,f1041,f1042,f1043,f1044,f1045,f1046,f1047,f1048,f1049,f1050,f1051,f1052,f1053,f1120,f1121,f1122,f1123,f1124,f1125,f1126,f1127,f1128,f1129,f1064,f1065,f1066,f1067,f1068,f1069,f1072,f1076,f1135,f1078,f1136,f1137,f1138,f1145,f1089,f1146,f1091,f1092,f1147,f1148,f1149,f1150,f1151,f1152,f1153,f1154,f1155,f1156,f1103,f1104,f1105,f1106,f1157,f1158,f1159,f1160,f1161,f1162,f1163,f1164,f1115,f1116,f1117,f62,f1167,f1168,f1169,f1171,f1172,f1173,f1174,f1175,f1176,f1177,f1178,f1166,f1183,f1184,f1185,f1186,f1188,f1187,f1191,f1192,f1194,f1195,f1202,f1203,f1170,f1206,f1207,f1208,f1209,f1210,f1211,f1214,f1215,f1217,f1218,f1221,f1222,f1205,f1227,f1228,f1229,f1230,f1231,f1232,f1235,f1236,f1238,f1239,f1242,f1243,f762,f1244,f1245,f1246,f1247,f1248,f1249,f1251,f1253,f1254,f1255,f1256,f1260,f1261,f770,f1264,f1265,f1267,f1268,f1269,f1270,f1272,f1273,f1274,f1275,f1279,f1280,f771,f1282,f1283,f1285,f1286,f1288,f1290,f1291,f1292,f1293,f1297,f1298,f772,f1299,f1302,f1305,f1306,f1308,f1309,f1310,f1311,f1315,f1316,f773,f1317,f1323,f1324,f1326,f1327,f1328,f1329,f1333,f1334,f774,f1339,f1343,f1345,f1346,f1347,f1348,f1352,f1353,f87,f1359,f1360,f1361,f1362,f1373,f1374,f1375,f1376,f1378,f1379,f1381,f1383,f1384,f775,f1394,f1395,f1397,f1398,f1399,f1400,f1404,f1405,f67,f1407,f1408,f1409,f1410,f1411,f1412,f1413,f1420,f1421,f1417,f1422,f1423,f44,f1427,f1428,f1429,f1430,f1431,f1432,f1433,f1434,f1435,f1436,f1437,f1438,f1439,f1440,f1442,f1443,f1458,f1459,f575,f1466,f1467,f1468,f1469,f1470,f1471,f1472,f1473,f1477,f1474,f1478,f1475,f1479,f709,f1480,f1481,f662,f1494,f1506,f1495,f1496,f1497,f1498,f1508,f1499,f1509,f1501,f1502,f1503,f1504,f1505,f708,f1510,f1511,f1464,f1523,f1524,f576,f1530,f1531,f1538,f1539,f665,f1540,f1542,f1543,f1544,f1545,f1548,f1549,f1556,f1558,f1559,f710,f1575,f1576,f1565,f1566,f1414,f1577,f1578,f1579,f1580,f1581,f1582,f1583,f1584,f1585,f1586,f1593,f1595,f1596,f1594,f1604,f1605,f1612,f1608,f1609,f1613,f1597,f1615,f1616,f1617,f1618,f1619,f1620,f1621,f1622,f1629,f1625,f1626,f1630,f1598,f1631,f1633,f1634,f1636,f1637,f1638,f1639,f1646,f1642,f1643,f1647,f1599,f1648,f1649,f1652,f1654,f1655,f1656,f1663,f1659,f1660,f1664,f1600,f1665,f1669,f1670,f1672,f1673,f1680,f1676,f1677,f1681,f1601,f1683,f1685,f1689,f1690,f1697,f1693,f1694,f1698,f1602,f1701,f1706,f1707,f1714,f1710,f1711,f1715,f1603,f1723,f1724,f1731,f1727,f1728,f1732,f2,f1734,f1735,f1736,f1738,f1739,f1740,f1741,f1743,f1744,f1745,f1746,f1747,f1748,f1749,f1750,f1751,f1752,f1753,f1754,f1755,f1756,f1757,f1758,f1759,f1760,f1761,f1762,f1763,f1764,f1765,f1766,f1767,f1768,f1769,f1770,f1771,f1772,f1773,f1774,f1775,f1776,f1777,f1778,f1779,f1780,f1781,f1782,f1783,f1784,f1785,f1786,f1787,f1788,f1789,f24,f1790,f1820,f1792,f1821,f1822,f1796,f1823,f1798,f1799,f1800,f1824,f1803,f1805,f1825,f1814,f1826,f1816,f1817,f1818,f1819,f1832,f1833,f1733,f1837,f1840,f1868,f1843,f1846,f1870,f1849,f1872,f1851,f1873,f1853,f1861,f1863,f33,f1885,f1886,f1887,f1889,f1890,f1891,f1892,f1894,f1895,f1896,f1897,f1898,f1899,f1900,f1901,f1902,f1903,f1904,f1905,f1906,f1907,f1908,f1909,f1910,f1911,f1912,f1913,f1914,f1915,f1916,f1917,f1918,f1919,f1920,f1921,f1922,f1923,f1924,f1925,f1926,f1927,f1928,f1929,f1930,f1931,f1932,f1933,f1934,f1935,f1936,f1937,f1938,f1939,f1940,f1836,f1942,f1947,f1948,f1949,f1950,f1943,f1955,f1963,f1884,f1972,f1975,f1978,f1981,f1983,f1985,f1994,f1996,f59,f2020]) ).

fof(f2020,plain,
    ! [X2,X3,X0,X1] :
      ( X0 = X1
      | ~ between(X0,X1,X2)
      | between(X3,X1,X2)
      | X0 != X3 ),
    inference(resolution,[],[f59,f493]) ).

fof(f59,axiom,
    ! [X3,X10,X0,X5] :
      ( ~ between(X10,X3,X5)
      | X3 = X5
      | ~ between(X3,X5,X0)
      | between(X10,X5,X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',b6) ).

fof(f1996,plain,
    ! [X2,X0,X1] :
      ( equidistant(X0,X0,reflection(X1,X2),X2)
      | X1 != X2 ),
    inference(resolution,[],[f1884,f773]) ).

fof(f1994,plain,
    ! [X2,X0,X1] :
      ( equidistant(X0,X0,reflection(X1,X2),X2)
      | X1 != X2 ),
    inference(resolution,[],[f1884,f762]) ).

fof(f1985,plain,
    ! [X2,X0,X1] :
      ( equidistant(X0,X0,X1,X2)
      | reflection(X1,X2) != X2 ),
    inference(resolution,[],[f1884,f255]) ).

fof(f1981,plain,
    ! [X2,X0,X1] :
      ( equidistant(X0,X0,X1,reflection(X2,X1))
      | X1 != X2 ),
    inference(resolution,[],[f1884,f771]) ).

fof(f1975,plain,
    ! [X2,X0,X1] :
      ( equidistant(X0,X0,X1,reflection(X2,X1))
      | X1 != X2 ),
    inference(resolution,[],[f1884,f772]) ).

fof(f1972,plain,
    ! [X2,X0,X1] :
      ( equidistant(X0,X0,X1,X2)
      | reflection(X2,X1) != X1 ),
    inference(resolution,[],[f1884,f280]) ).

fof(f1884,plain,
    ! [X2,X3,X0,X1] :
      ( ~ equidistant(X0,X0,X1,X2)
      | equidistant(X3,X3,X1,X2) ),
    inference(resolution,[],[f33,f41]) ).

fof(f1963,plain,
    ! [X2,X3,X0,X1,X4] :
      ( X0 != X1
      | ~ equidistant(X0,X1,X2,X3)
      | equidistant(X4,X4,X2,X3) ),
    inference(resolution,[],[f1943,f33]) ).

fof(f1955,plain,
    ! [X2,X3,X0,X1,X4] :
      ( X0 != X1
      | ~ equidistant(X2,X2,X3,X4)
      | equidistant(X3,X4,X0,X1) ),
    inference(resolution,[],[f1943,f2]) ).

fof(f1943,plain,
    ! [X2,X0,X1] :
      ( equidistant(X2,X2,X0,X1)
      | X0 != X1 ),
    inference(resolution,[],[f1836,f26]) ).

fof(f1950,plain,
    ! [X2,X3,X0,X1,X4] :
      ( X0 != X1
      | ~ equidistant(X2,X2,X3,X4)
      | equidistant(X0,X1,X3,X4) ),
    inference(resolution,[],[f1836,f33]) ).

fof(f1949,plain,
    ! [X2,X0,X1] :
      ( X0 != X1
      | equidistant(X2,X2,X1,X0) ),
    inference(resolution,[],[f1836,f32]) ).

fof(f1948,plain,
    ! [X2,X0,X1] :
      ( X0 != X1
      | equidistant(X2,X2,X0,X1) ),
    inference(resolution,[],[f1836,f31]) ).

fof(f1947,plain,
    ! [X2,X0,X1] :
      ( X0 != X1
      | equidistant(X2,X2,X1,X0) ),
    inference(resolution,[],[f1836,f30]) ).

fof(f1942,plain,
    ! [X2,X3,X0,X1,X4] :
      ( X0 != X1
      | ~ equidistant(X0,X1,X2,X3)
      | equidistant(X2,X3,X4,X4) ),
    inference(resolution,[],[f1836,f2]) ).

fof(f1836,plain,
    ! [X2,X0,X1] :
      ( equidistant(X0,X1,X2,X2)
      | X0 != X1 ),
    inference(resolution,[],[f1733,f124]) ).

fof(f1940,plain,
    ! [X2,X3,X0,X1,X4,X5] :
      ( ~ equidistant(X0,X1,X2,X3)
      | equidistant(insertion(X4,X5,X1,X0),X4,X2,X3) ),
    inference(resolution,[],[f33,f398]) ).

fof(f1939,plain,
    ! [X2,X3,X0,X1,X4,X5] :
      ( ~ equidistant(X0,X1,X2,X3)
      | equidistant(insertion(X4,X5,X0,X1),X4,X2,X3) ),
    inference(resolution,[],[f33,f245]) ).

fof(f1938,plain,
    ! [X0,X1] :
      ( ~ equidistant(reflection(lower_dimension_point_1,lower_dimension_point_2),lower_dimension_point_2,X0,X1)
      | equidistant(reflection(lower_dimension_point_2,lower_dimension_point_1),lower_dimension_point_1,X0,X1) ),
    inference(resolution,[],[f33,f1603]) ).

fof(f1937,plain,
    ! [X0,X1] :
      ( ~ equidistant(lower_dimension_point_2,reflection(lower_dimension_point_1,lower_dimension_point_2),X0,X1)
      | equidistant(reflection(lower_dimension_point_2,lower_dimension_point_1),lower_dimension_point_1,X0,X1) ),
    inference(resolution,[],[f33,f1602]) ).

fof(f1936,plain,
    ! [X0,X1] :
      ( ~ equidistant(reflection(lower_dimension_point_2,lower_dimension_point_1),lower_dimension_point_1,X0,X1)
      | equidistant(reflection(lower_dimension_point_1,lower_dimension_point_2),lower_dimension_point_2,X0,X1) ),
    inference(resolution,[],[f33,f1600]) ).

fof(f1935,plain,
    ! [X0,X1] :
      ( ~ equidistant(lower_dimension_point_1,reflection(lower_dimension_point_2,lower_dimension_point_1),X0,X1)
      | equidistant(reflection(lower_dimension_point_1,lower_dimension_point_2),lower_dimension_point_2,X0,X1) ),
    inference(resolution,[],[f33,f1598]) ).

fof(f1934,plain,
    ! [X2,X3,X0,X1,X4] :
      ( ~ equidistant(X0,X1,X2,X3)
      | equidistant(reflection(X4,X1),X1,X2,X3)
      | X0 != X4 ),
    inference(resolution,[],[f33,f774]) ).

fof(f1933,plain,
    ! [X2,X3,X0,X1] :
      ( ~ equidistant(X0,X1,X2,X3)
      | equidistant(reflection(X0,X1),X1,X2,X3) ),
    inference(resolution,[],[f33,f244]) ).

fof(f1932,plain,
    ! [X2,X3,X0,X1,X4] :
      ( ~ equidistant(X0,X1,X2,X3)
      | equidistant(reflection(X4,X0),X0,X2,X3)
      | X1 != X4 ),
    inference(resolution,[],[f33,f770]) ).

fof(f1931,plain,
    ! [X2,X3,X0,X1] :
      ( ~ equidistant(X0,X1,X2,X3)
      | equidistant(reflection(X1,X0),X0,X2,X3) ),
    inference(resolution,[],[f33,f204]) ).

fof(f1930,plain,
    ! [X0,X1] :
      ( ~ equidistant(reflection(lower_dimension_point_2,lower_dimension_point_1),lower_dimension_point_1,X0,X1)
      | equidistant(lower_dimension_point_2,reflection(lower_dimension_point_1,lower_dimension_point_2),X0,X1) ),
    inference(resolution,[],[f33,f1599]) ).

fof(f1929,plain,
    ! [X0,X1] :
      ( ~ equidistant(lower_dimension_point_1,reflection(lower_dimension_point_2,lower_dimension_point_1),X0,X1)
      | equidistant(lower_dimension_point_2,reflection(lower_dimension_point_1,lower_dimension_point_2),X0,X1) ),
    inference(resolution,[],[f33,f1594]) ).

fof(f1928,plain,
    ! [X2,X3,X0,X1] :
      ( ~ equidistant(X0,extension(X1,X0,lower_dimension_point_1,lower_dimension_point_2),X2,X3)
      | equidistant(lower_dimension_point_2,reflection(lower_dimension_point_1,lower_dimension_point_2),X2,X3) ),
    inference(resolution,[],[f33,f1414]) ).

fof(f1927,plain,
    ! [X0,X1] :
      ( ~ equidistant(reflection(lower_dimension_point_1,lower_dimension_point_2),lower_dimension_point_2,X0,X1)
      | equidistant(lower_dimension_point_1,reflection(lower_dimension_point_2,lower_dimension_point_1),X0,X1) ),
    inference(resolution,[],[f33,f1601]) ).

fof(f1926,plain,
    ! [X0,X1] :
      ( ~ equidistant(lower_dimension_point_2,reflection(lower_dimension_point_1,lower_dimension_point_2),X0,X1)
      | equidistant(lower_dimension_point_1,reflection(lower_dimension_point_2,lower_dimension_point_1),X0,X1) ),
    inference(resolution,[],[f33,f1597]) ).

fof(f1925,plain,
    ! [X2,X3,X0,X1,X4,X5] :
      ( ~ equidistant(X0,X1,X2,X3)
      | equidistant(extension(X4,X5,X1,X0),X5,X2,X3) ),
    inference(resolution,[],[f33,f319]) ).

fof(f1924,plain,
    ! [X2,X3,X0,X1,X4,X5] :
      ( ~ equidistant(X0,X1,X2,X3)
      | equidistant(extension(X4,X5,X0,X1),X5,X2,X3) ),
    inference(resolution,[],[f33,f243]) ).

fof(f1923,plain,
    ! [X2,X3,X0,X1,X4,X5] :
      ( ~ equidistant(X0,X1,X2,X3)
      | equidistant(X4,insertion(X4,X5,X1,X0),X2,X3) ),
    inference(resolution,[],[f33,f288]) ).

fof(f1922,plain,
    ! [X2,X3,X0,X1,X4,X5] :
      ( ~ equidistant(X0,X1,X2,X3)
      | equidistant(X4,insertion(X4,X5,X0,X1),X2,X3) ),
    inference(resolution,[],[f33,f203]) ).

fof(f1921,plain,
    ! [X2,X3,X0,X1,X4] :
      ( ~ equidistant(X0,X1,X2,X3)
      | equidistant(X1,reflection(X4,X1),X2,X3)
      | X0 != X4 ),
    inference(resolution,[],[f33,f759]) ).

fof(f1920,plain,
    ! [X2,X3,X0,X1,X4] :
      ( ~ equidistant(X0,X1,X2,X3)
      | equidistant(X0,reflection(X4,X0),X2,X3)
      | X1 != X4 ),
    inference(resolution,[],[f33,f775]) ).

fof(f1919,plain,
    ! [X2,X3,X0,X1] :
      ( ~ equidistant(X0,X1,X2,X3)
      | equidistant(X0,reflection(X1,X0),X2,X3) ),
    inference(resolution,[],[f33,f246]) ).

fof(f1918,plain,
    ! [X2,X3,X0,X1] :
      ( ~ equidistant(X0,X1,X2,X3)
      | equidistant(X1,reflection(X0,X1),X2,X3) ),
    inference(resolution,[],[f33,f37]) ).

fof(f1917,plain,
    ! [X2,X3,X0,X1,X4,X5] :
      ( ~ equidistant(X0,extension(X1,X0,lower_dimension_point_1,lower_dimension_point_2),X2,X3)
      | equidistant(X4,extension(X5,X4,lower_dimension_point_1,lower_dimension_point_2),X2,X3) ),
    inference(resolution,[],[f33,f67]) ).

fof(f1916,plain,
    ! [X2,X3,X0,X1,X4,X5] :
      ( ~ equidistant(X0,X1,X2,X3)
      | equidistant(X4,extension(X5,X4,X1,X0),X2,X3) ),
    inference(resolution,[],[f33,f313]) ).

fof(f1915,plain,
    ! [X2,X3,X0,X1,X4,X5] :
      ( ~ equidistant(X0,X1,X2,X3)
      | equidistant(X4,extension(X5,X4,X0,X1),X2,X3) ),
    inference(resolution,[],[f33,f5]) ).

fof(f1914,plain,
    ! [X2,X3,X0,X1,X4,X5] :
      ( ~ equidistant(insertion(X0,X1,X2,X3),X0,X4,X5)
      | equidistant(X3,X2,X4,X5) ),
    inference(resolution,[],[f33,f309]) ).

fof(f1913,plain,
    ! [X2,X3,X0,X1,X4,X5] :
      ( ~ equidistant(insertion(X0,X1,X2,X3),X0,X4,X5)
      | equidistant(X2,X3,X4,X5) ),
    inference(resolution,[],[f33,f308]) ).

fof(f1912,plain,
    ! [X2,X3,X0,X1,X4] :
      ( ~ equidistant(reflection(X0,X1),X1,X2,X3)
      | equidistant(X4,X1,X2,X3)
      | X0 != X4 ),
    inference(resolution,[],[f33,f773]) ).

fof(f1911,plain,
    ! [X2,X3,X0,X1] :
      ( ~ equidistant(reflection(X0,X1),X1,X2,X3)
      | equidistant(X0,X1,X2,X3) ),
    inference(resolution,[],[f33,f242]) ).

fof(f1910,plain,
    ! [X2,X3,X0,X1,X4] :
      ( ~ equidistant(reflection(X0,X1),X1,X2,X3)
      | equidistant(X1,X4,X2,X3)
      | X0 != X4 ),
    inference(resolution,[],[f33,f762]) ).

fof(f1909,plain,
    ! [X2,X3,X0,X1] :
      ( ~ equidistant(reflection(X0,X1),X1,X2,X3)
      | equidistant(X1,X0,X2,X3) ),
    inference(resolution,[],[f33,f102]) ).

fof(f1908,plain,
    ! [X2,X3,X0,X1,X4,X5] :
      ( ~ equidistant(extension(X0,X1,X2,X3),X1,X4,X5)
      | equidistant(X3,X2,X4,X5) ),
    inference(resolution,[],[f33,f387]) ).

fof(f1907,plain,
    ! [X2,X3,X0,X1,X4,X5] :
      ( ~ equidistant(extension(X0,X1,X2,X3),X1,X4,X5)
      | equidistant(X2,X3,X4,X5) ),
    inference(resolution,[],[f33,f294]) ).

fof(f1906,plain,
    ! [X2,X3,X0,X1,X4,X5] :
      ( ~ equidistant(X0,insertion(X0,X1,X2,X3),X4,X5)
      | equidistant(X3,X2,X4,X5) ),
    inference(resolution,[],[f33,f241]) ).

fof(f1905,plain,
    ! [X2,X3,X0,X1,X4,X5] :
      ( ~ equidistant(X0,insertion(X0,X1,X2,X3),X4,X5)
      | equidistant(X2,X3,X4,X5) ),
    inference(resolution,[],[f33,f75]) ).

fof(f1904,plain,
    ! [X2,X3,X0,X1,X4,X5] :
      ( ~ equidistant(X0,extension(X1,X0,X2,X3),X4,X5)
      | equidistant(X3,X2,X4,X5) ),
    inference(resolution,[],[f33,f281]) ).

fof(f1903,plain,
    ! [X2,X3,X0,X1,X4,X5] :
      ( ~ equidistant(X0,extension(X1,X0,X2,X3),X4,X5)
      | equidistant(X2,X3,X4,X5) ),
    inference(resolution,[],[f33,f205]) ).

fof(f1902,plain,
    ! [X2,X3,X0,X1,X4] :
      ( ~ equidistant(X0,X1,X2,X3)
      | equidistant(X4,X1,X2,X3)
      | reflection(X0,X1) != X4 ),
    inference(resolution,[],[f33,f255]) ).

fof(f1901,plain,
    ! [X2,X3,X0,X1,X4] :
      ( ~ equidistant(X0,X1,X2,X3)
      | equidistant(X4,X1,X2,X3)
      | reflection(X4,X1) != X0 ),
    inference(resolution,[],[f33,f271]) ).

fof(f1900,plain,
    ! [X2,X3,X0,X1,X4] :
      ( ~ equidistant(X0,X1,X2,X3)
      | equidistant(X1,X4,X2,X3)
      | reflection(X0,X1) != X4 ),
    inference(resolution,[],[f33,f165]) ).

fof(f1899,plain,
    ! [X2,X3,X0,X1,X4] :
      ( ~ equidistant(X0,X1,X2,X3)
      | equidistant(X1,X4,X2,X3)
      | reflection(X4,X1) != X0 ),
    inference(resolution,[],[f33,f167]) ).

fof(f1898,plain,
    ! [X2,X3,X0,X1,X4] :
      ( ~ equidistant(X0,reflection(X1,X0),X2,X3)
      | equidistant(X4,X0,X2,X3)
      | X1 != X4 ),
    inference(resolution,[],[f33,f771]) ).

fof(f1897,plain,
    ! [X2,X3,X0,X1] :
      ( ~ equidistant(X0,reflection(X1,X0),X2,X3)
      | equidistant(X1,X0,X2,X3) ),
    inference(resolution,[],[f33,f206]) ).

fof(f1896,plain,
    ! [X2,X3,X0,X1,X4] :
      ( ~ equidistant(X0,X1,X2,X3)
      | equidistant(X4,X0,X2,X3)
      | reflection(X4,X0) != X1 ),
    inference(resolution,[],[f33,f213]) ).

fof(f1895,plain,
    ! [X2,X3,X0,X1,X4] :
      ( ~ equidistant(X0,X1,X2,X3)
      | equidistant(X4,X0,X2,X3)
      | reflection(X1,X0) != X4 ),
    inference(resolution,[],[f33,f221]) ).

fof(f1894,plain,
    ! [X2,X3,X0,X1] :
      ( ~ equidistant(X0,X0,X1,X2)
      | equidistant(X3,X0,X1,X2)
      | X0 != X3 ),
    inference(resolution,[],[f33,f210]) ).

fof(f1892,plain,
    ! [X2,X3,X0,X1,X4] :
      ( ~ equidistant(X0,reflection(X1,X0),X2,X3)
      | equidistant(X0,X4,X2,X3)
      | X1 != X4 ),
    inference(resolution,[],[f33,f772]) ).

fof(f1891,plain,
    ! [X2,X3,X0,X1] :
      ( ~ equidistant(X0,reflection(X1,X0),X2,X3)
      | equidistant(X0,X1,X2,X3) ),
    inference(resolution,[],[f33,f239]) ).

fof(f1890,plain,
    ! [X2,X3,X0,X1,X4] :
      ( ~ equidistant(X0,X1,X2,X3)
      | equidistant(X0,X4,X2,X3)
      | reflection(X4,X0) != X1 ),
    inference(resolution,[],[f33,f263]) ).

fof(f1889,plain,
    ! [X2,X3,X0,X1,X4] :
      ( ~ equidistant(X0,X1,X2,X3)
      | equidistant(X0,X4,X2,X3)
      | reflection(X1,X0) != X4 ),
    inference(resolution,[],[f33,f280]) ).

fof(f1887,plain,
    ! [X2,X3,X0,X1] :
      ( ~ equidistant(X0,X0,X1,X2)
      | equidistant(X0,X3,X1,X2)
      | X0 != X3 ),
    inference(resolution,[],[f33,f127]) ).

fof(f1886,plain,
    ! [X2,X3,X0,X1] :
      ( ~ equidistant(X0,X1,X2,X3)
      | equidistant(X0,X0,X2,X3)
      | X0 != X1 ),
    inference(resolution,[],[f33,f201]) ).

fof(f1885,plain,
    ! [X2,X3,X0,X1] :
      ( ~ equidistant(X0,X1,X2,X3)
      | equidistant(X1,X1,X2,X3)
      | X0 != X1 ),
    inference(resolution,[],[f33,f124]) ).

fof(f33,axiom,
    ! [X2,X3,X10,X0,X1,X5] :
      ( ~ equidistant(X10,X3,X5,X0)
      | ~ equidistant(X5,X0,X1,X2)
      | equidistant(X10,X3,X1,X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d5) ).

fof(f1863,plain,
    ! [X2,X0,X1] :
      ( equidistant(reflection(X0,X1),X1,X2,X2)
      | X0 != X1 ),
    inference(resolution,[],[f1733,f773]) ).

fof(f1861,plain,
    ! [X2,X0,X1] :
      ( equidistant(reflection(X0,X1),X1,X2,X2)
      | X0 != X1 ),
    inference(resolution,[],[f1733,f762]) ).

fof(f1853,plain,
    ! [X2,X0,X1] :
      ( equidistant(X0,X1,X2,X2)
      | reflection(X0,X1) != X1 ),
    inference(resolution,[],[f1733,f255]) ).

fof(f1873,plain,
    ! [X2,X0,X1] :
      ( X0 != X1
      | equidistant(X0,X1,X2,X2) ),
    inference(forward_demodulation,[],[f1852,f39]) ).

fof(f1852,plain,
    ! [X2,X0,X1] :
      ( equidistant(X0,X1,X2,X2)
      | reflection(X1,X1) != X0 ),
    inference(resolution,[],[f1733,f271]) ).

fof(f1872,plain,
    ! [X2,X0,X1] :
      ( X0 != X1
      | equidistant(X0,X1,X2,X2) ),
    inference(forward_demodulation,[],[f1850,f39]) ).

fof(f1850,plain,
    ! [X2,X0,X1] :
      ( equidistant(X0,X1,X2,X2)
      | reflection(X1,X1) != X0 ),
    inference(resolution,[],[f1733,f167]) ).

fof(f1849,plain,
    ! [X2,X0,X1] :
      ( equidistant(X0,reflection(X1,X0),X2,X2)
      | X0 != X1 ),
    inference(resolution,[],[f1733,f771]) ).

fof(f1870,plain,
    ! [X2,X0,X1] :
      ( X0 != X1
      | equidistant(X0,X1,X2,X2) ),
    inference(forward_demodulation,[],[f1847,f39]) ).

fof(f1847,plain,
    ! [X2,X0,X1] :
      ( equidistant(X0,X1,X2,X2)
      | reflection(X0,X0) != X1 ),
    inference(resolution,[],[f1733,f213]) ).

fof(f1843,plain,
    ! [X2,X0,X1] :
      ( equidistant(X0,reflection(X1,X0),X2,X2)
      | X0 != X1 ),
    inference(resolution,[],[f1733,f772]) ).

fof(f1868,plain,
    ! [X2,X0,X1] :
      ( X0 != X1
      | equidistant(X0,X1,X2,X2) ),
    inference(forward_demodulation,[],[f1841,f39]) ).

fof(f1841,plain,
    ! [X2,X0,X1] :
      ( equidistant(X0,X1,X2,X2)
      | reflection(X0,X0) != X1 ),
    inference(resolution,[],[f1733,f263]) ).

fof(f1840,plain,
    ! [X2,X0,X1] :
      ( equidistant(X0,X1,X2,X2)
      | reflection(X1,X0) != X0 ),
    inference(resolution,[],[f1733,f280]) ).

fof(f1837,plain,
    ! [X2,X0,X1] :
      ( equidistant(X0,X1,X2,X2)
      | X0 != X1 ),
    inference(resolution,[],[f1733,f201]) ).

fof(f1733,plain,
    ! [X2,X3,X0,X1] :
      ( ~ equidistant(X0,X0,X1,X2)
      | equidistant(X1,X2,X3,X3) ),
    inference(resolution,[],[f2,f41]) ).

fof(f1833,plain,
    ! [X2,X0,X1] :
      ( reflection(X2,X2) != X0
      | insertion(X0,X1,lower_dimension_point_1,lower_dimension_point_2) != X2 ),
    inference(superposition,[],[f1819,f126]) ).

fof(f1832,plain,
    ! [X2,X3,X0,X1] :
      ( reflection(reflection(X2,X3),X3) != X0
      | insertion(X0,X1,lower_dimension_point_1,lower_dimension_point_2) != X2 ),
    inference(superposition,[],[f1819,f761]) ).

fof(f1819,plain,
    ! [X0,X1] : insertion(X1,X0,lower_dimension_point_1,lower_dimension_point_2) != X1,
    inference(superposition,[],[f66,f24]) ).

fof(f1818,plain,
    ! [X2,X3,X0,X1] : equidistant(X1,insertion(X1,X0,lower_dimension_point_1,lower_dimension_point_2),X2,extension(X3,X2,lower_dimension_point_1,lower_dimension_point_2)),
    inference(superposition,[],[f67,f24]) ).

fof(f1817,plain,
    ! [X2,X3,X0,X1] : equidistant(X2,extension(X3,X2,lower_dimension_point_1,lower_dimension_point_2),X1,insertion(X1,X0,lower_dimension_point_1,lower_dimension_point_2)),
    inference(superposition,[],[f67,f24]) ).

fof(f1816,plain,
    ! [X0,X1] : equidistant(lower_dimension_point_2,reflection(lower_dimension_point_1,lower_dimension_point_2),X1,insertion(X1,X0,lower_dimension_point_1,lower_dimension_point_2)),
    inference(superposition,[],[f1414,f24]) ).

fof(f1826,plain,
    ! [X2,X3,X0,X1] : extension(X0,X1,lower_dimension_point_1,lower_dimension_point_2) != insertion(X1,X0,X2,X3),
    inference(subsumption_resolution,[],[f1815,f66]) ).

fof(f1815,plain,
    ! [X2,X3,X0,X1] :
      ( extension(X0,X1,lower_dimension_point_1,lower_dimension_point_2) != insertion(X1,X0,X2,X3)
      | extension(X0,X1,lower_dimension_point_1,lower_dimension_point_2) = X1 ),
    inference(superposition,[],[f1464,f24]) ).

fof(f1814,plain,
    ! [X2,X3,X0,X1] : insertion(extension(X0,X1,lower_dimension_point_1,lower_dimension_point_2),insertion(X1,X0,X2,X3),extension(X0,X1,lower_dimension_point_1,lower_dimension_point_2),X1) = X1,
    inference(superposition,[],[f710,f24]) ).

fof(f1825,plain,
    ! [X2,X3,X0,X1] : ~ between(X1,extension(X0,X1,lower_dimension_point_1,lower_dimension_point_2),insertion(X1,X0,X2,X3)),
    inference(subsumption_resolution,[],[f1813,f66]) ).

fof(f1813,plain,
    ! [X2,X3,X0,X1] :
      ( ~ between(X1,extension(X0,X1,lower_dimension_point_1,lower_dimension_point_2),insertion(X1,X0,X2,X3))
      | extension(X0,X1,lower_dimension_point_1,lower_dimension_point_2) = X1 ),
    inference(superposition,[],[f576,f24]) ).

fof(f1805,plain,
    ! [X2,X3,X0,X1] : between(insertion(X1,X0,X2,X3),X1,extension(X0,X1,lower_dimension_point_1,lower_dimension_point_2)),
    inference(superposition,[],[f118,f24]) ).

fof(f1803,plain,
    ! [X2,X3,X0,X1] : between(extension(X0,X1,lower_dimension_point_1,lower_dimension_point_2),X1,insertion(X1,X0,X2,X3)),
    inference(superposition,[],[f4,f24]) ).

fof(f1824,plain,
    ! [X0,X1] : reflection(extension(X0,X1,lower_dimension_point_1,lower_dimension_point_2),X1) = insertion(X1,X0,X1,extension(X0,X1,lower_dimension_point_1,lower_dimension_point_2)),
    inference(subsumption_resolution,[],[f1801,f66]) ).

fof(f1801,plain,
    ! [X0,X1] :
      ( reflection(extension(X0,X1,lower_dimension_point_1,lower_dimension_point_2),X1) = insertion(X1,X0,X1,extension(X0,X1,lower_dimension_point_1,lower_dimension_point_2))
      | extension(X0,X1,lower_dimension_point_1,lower_dimension_point_2) = X1 ),
    inference(superposition,[],[f1440,f24]) ).

fof(f1800,plain,
    ! [X0,X1] : reflection(extension(X0,X1,lower_dimension_point_1,lower_dimension_point_2),X1) = insertion(X1,X0,extension(X0,X1,lower_dimension_point_1,lower_dimension_point_2),X1),
    inference(superposition,[],[f23,f24]) ).

fof(f1799,plain,
    ! [X2,X3,X0,X1,X4] :
      ( reflection(X4,X4) = insertion(X1,X0,X2,X3)
      | extension(extension(X0,X1,lower_dimension_point_1,lower_dimension_point_2),X1,X2,X3) != X4 ),
    inference(superposition,[],[f24,f126]) ).

fof(f1798,plain,
    ! [X2,X3,X0,X1,X4,X5] :
      ( reflection(reflection(X4,X5),X5) = insertion(X1,X0,X2,X3)
      | extension(extension(X0,X1,lower_dimension_point_1,lower_dimension_point_2),X1,X2,X3) != X4 ),
    inference(superposition,[],[f24,f761]) ).

fof(f1823,plain,
    ! [X0,X1] : reflection(extension(X0,X1,lower_dimension_point_1,lower_dimension_point_2),X1) = insertion(X1,X0,X1,extension(X0,X1,lower_dimension_point_1,lower_dimension_point_2)),
    inference(subsumption_resolution,[],[f1797,f66]) ).

fof(f1797,plain,
    ! [X0,X1] :
      ( reflection(extension(X0,X1,lower_dimension_point_1,lower_dimension_point_2),X1) = insertion(X1,X0,X1,extension(X0,X1,lower_dimension_point_1,lower_dimension_point_2))
      | extension(X0,X1,lower_dimension_point_1,lower_dimension_point_2) = X1 ),
    inference(superposition,[],[f24,f1440]) ).

fof(f1796,plain,
    ! [X0,X1] : reflection(extension(X0,X1,lower_dimension_point_1,lower_dimension_point_2),X1) = insertion(X1,X0,extension(X0,X1,lower_dimension_point_1,lower_dimension_point_2),X1),
    inference(superposition,[],[f24,f23]) ).

fof(f1822,plain,
    ! [X2,X3,X0,X1,X4] :
      ( extension(X2,X1,X3,X4) = insertion(X1,X0,X3,X4)
      | extension(X0,X1,lower_dimension_point_1,lower_dimension_point_2) != X2 ),
    inference(forward_demodulation,[],[f1794,f39]) ).

fof(f1794,plain,
    ! [X2,X3,X0,X1,X4] :
      ( insertion(X1,X0,X3,X4) = extension(reflection(X2,X2),X1,X3,X4)
      | extension(X0,X1,lower_dimension_point_1,lower_dimension_point_2) != X2 ),
    inference(superposition,[],[f24,f126]) ).

fof(f1821,plain,
    ! [X2,X0,X1,X4,X5] :
      ( insertion(X1,X0,X4,X5) = extension(X2,X1,X4,X5)
      | extension(X0,X1,lower_dimension_point_1,lower_dimension_point_2) != X2 ),
    inference(forward_demodulation,[],[f1793,f48]) ).

fof(f1793,plain,
    ! [X2,X3,X0,X1,X4,X5] :
      ( insertion(X1,X0,X4,X5) = extension(reflection(reflection(X2,X3),X3),X1,X4,X5)
      | extension(X0,X1,lower_dimension_point_1,lower_dimension_point_2) != X2 ),
    inference(superposition,[],[f24,f761]) ).

fof(f1792,plain,
    ! [X2,X3,X0,X1] : insertion(X1,extension(X0,X1,lower_dimension_point_1,lower_dimension_point_2),X2,X3) = extension(insertion(X1,X0,lower_dimension_point_1,lower_dimension_point_2),X1,X2,X3),
    inference(superposition,[],[f24,f24]) ).

fof(f1820,plain,
    ! [X0,X1] : insertion(lower_dimension_point_1,lower_dimension_point_2,X0,X1) = extension(reflection(lower_dimension_point_2,lower_dimension_point_1),lower_dimension_point_1,X0,X1),
    inference(subsumption_resolution,[],[f1791,f63]) ).

fof(f1791,plain,
    ! [X0,X1] :
      ( insertion(lower_dimension_point_1,lower_dimension_point_2,X0,X1) = extension(reflection(lower_dimension_point_2,lower_dimension_point_1),lower_dimension_point_1,X0,X1)
      | lower_dimension_point_1 = lower_dimension_point_2 ),
    inference(superposition,[],[f24,f1440]) ).

fof(f1790,plain,
    ! [X0,X1] : insertion(lower_dimension_point_2,lower_dimension_point_1,X0,X1) = extension(reflection(lower_dimension_point_1,lower_dimension_point_2),lower_dimension_point_2,X0,X1),
    inference(superposition,[],[f24,f23]) ).

fof(f24,axiom,
    ! [X3,X10,X11,X12] : insertion(X11,X12,X10,X3) = extension(extension(X12,X11,lower_dimension_point_1,lower_dimension_point_2),X11,X10,X3),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',insertion) ).

fof(f1789,plain,
    ! [X2,X3,X0,X1,X4,X5] :
      ( ~ equidistant(insertion(X0,X1,X2,X3),X0,X4,X5)
      | equidistant(X4,X5,X3,X2) ),
    inference(resolution,[],[f2,f398]) ).

fof(f1788,plain,
    ! [X2,X3,X0,X1,X4,X5] :
      ( ~ equidistant(insertion(X0,X1,X2,X3),X0,X4,X5)
      | equidistant(X4,X5,X2,X3) ),
    inference(resolution,[],[f2,f245]) ).

fof(f1787,plain,
    ! [X0,X1] :
      ( ~ equidistant(reflection(lower_dimension_point_2,lower_dimension_point_1),lower_dimension_point_1,X0,X1)
      | equidistant(X0,X1,reflection(lower_dimension_point_1,lower_dimension_point_2),lower_dimension_point_2) ),
    inference(resolution,[],[f2,f1603]) ).

fof(f1786,plain,
    ! [X0,X1] :
      ( ~ equidistant(reflection(lower_dimension_point_2,lower_dimension_point_1),lower_dimension_point_1,X0,X1)
      | equidistant(X0,X1,lower_dimension_point_2,reflection(lower_dimension_point_1,lower_dimension_point_2)) ),
    inference(resolution,[],[f2,f1602]) ).

fof(f1785,plain,
    ! [X0,X1] :
      ( ~ equidistant(reflection(lower_dimension_point_1,lower_dimension_point_2),lower_dimension_point_2,X0,X1)
      | equidistant(X0,X1,reflection(lower_dimension_point_2,lower_dimension_point_1),lower_dimension_point_1) ),
    inference(resolution,[],[f2,f1600]) ).

fof(f1784,plain,
    ! [X0,X1] :
      ( ~ equidistant(reflection(lower_dimension_point_1,lower_dimension_point_2),lower_dimension_point_2,X0,X1)
      | equidistant(X0,X1,lower_dimension_point_1,reflection(lower_dimension_point_2,lower_dimension_point_1)) ),
    inference(resolution,[],[f2,f1598]) ).

fof(f1783,plain,
    ! [X2,X3,X0,X1,X4] :
      ( ~ equidistant(reflection(X0,X1),X1,X2,X3)
      | equidistant(X2,X3,X4,X1)
      | X0 != X4 ),
    inference(resolution,[],[f2,f774]) ).

fof(f1782,plain,
    ! [X2,X3,X0,X1] :
      ( ~ equidistant(reflection(X0,X1),X1,X2,X3)
      | equidistant(X2,X3,X0,X1) ),
    inference(resolution,[],[f2,f244]) ).

fof(f1781,plain,
    ! [X2,X3,X0,X1,X4] :
      ( ~ equidistant(reflection(X0,X1),X1,X2,X3)
      | equidistant(X2,X3,X1,X4)
      | X0 != X4 ),
    inference(resolution,[],[f2,f770]) ).

fof(f1780,plain,
    ! [X2,X3,X0,X1] :
      ( ~ equidistant(reflection(X0,X1),X1,X2,X3)
      | equidistant(X2,X3,X1,X0) ),
    inference(resolution,[],[f2,f204]) ).

fof(f1779,plain,
    ! [X0,X1] :
      ( ~ equidistant(lower_dimension_point_2,reflection(lower_dimension_point_1,lower_dimension_point_2),X0,X1)
      | equidistant(X0,X1,reflection(lower_dimension_point_2,lower_dimension_point_1),lower_dimension_point_1) ),
    inference(resolution,[],[f2,f1599]) ).

fof(f1778,plain,
    ! [X0,X1] :
      ( ~ equidistant(lower_dimension_point_2,reflection(lower_dimension_point_1,lower_dimension_point_2),X0,X1)
      | equidistant(X0,X1,lower_dimension_point_1,reflection(lower_dimension_point_2,lower_dimension_point_1)) ),
    inference(resolution,[],[f2,f1594]) ).

fof(f1777,plain,
    ! [X2,X3,X0,X1] :
      ( ~ equidistant(lower_dimension_point_2,reflection(lower_dimension_point_1,lower_dimension_point_2),X0,X1)
      | equidistant(X0,X1,X2,extension(X3,X2,lower_dimension_point_1,lower_dimension_point_2)) ),
    inference(resolution,[],[f2,f1414]) ).

fof(f1776,plain,
    ! [X0,X1] :
      ( ~ equidistant(lower_dimension_point_1,reflection(lower_dimension_point_2,lower_dimension_point_1),X0,X1)
      | equidistant(X0,X1,reflection(lower_dimension_point_1,lower_dimension_point_2),lower_dimension_point_2) ),
    inference(resolution,[],[f2,f1601]) ).

fof(f1775,plain,
    ! [X0,X1] :
      ( ~ equidistant(lower_dimension_point_1,reflection(lower_dimension_point_2,lower_dimension_point_1),X0,X1)
      | equidistant(X0,X1,lower_dimension_point_2,reflection(lower_dimension_point_1,lower_dimension_point_2)) ),
    inference(resolution,[],[f2,f1597]) ).

fof(f1774,plain,
    ! [X2,X3,X0,X1,X4,X5] :
      ( ~ equidistant(extension(X0,X1,X2,X3),X1,X4,X5)
      | equidistant(X4,X5,X3,X2) ),
    inference(resolution,[],[f2,f319]) ).

fof(f1773,plain,
    ! [X2,X3,X0,X1,X4,X5] :
      ( ~ equidistant(extension(X0,X1,X2,X3),X1,X4,X5)
      | equidistant(X4,X5,X2,X3) ),
    inference(resolution,[],[f2,f243]) ).

fof(f1772,plain,
    ! [X2,X3,X0,X1,X4,X5] :
      ( ~ equidistant(X0,insertion(X0,X1,X2,X3),X4,X5)
      | equidistant(X4,X5,X3,X2) ),
    inference(resolution,[],[f2,f288]) ).

fof(f1771,plain,
    ! [X2,X3,X0,X1,X4,X5] :
      ( ~ equidistant(X0,insertion(X0,X1,X2,X3),X4,X5)
      | equidistant(X4,X5,X2,X3) ),
    inference(resolution,[],[f2,f203]) ).

fof(f1770,plain,
    ! [X2,X3,X0,X1,X4] :
      ( ~ equidistant(X0,reflection(X1,X0),X2,X3)
      | equidistant(X2,X3,X4,X0)
      | X1 != X4 ),
    inference(resolution,[],[f2,f759]) ).

fof(f1769,plain,
    ! [X2,X3,X0,X1,X4] :
      ( ~ equidistant(X0,reflection(X1,X0),X2,X3)
      | equidistant(X2,X3,X0,X4)
      | X1 != X4 ),
    inference(resolution,[],[f2,f775]) ).

fof(f1768,plain,
    ! [X2,X3,X0,X1] :
      ( ~ equidistant(X0,reflection(X1,X0),X2,X3)
      | equidistant(X2,X3,X0,X1) ),
    inference(resolution,[],[f2,f246]) ).

fof(f1767,plain,
    ! [X2,X3,X0,X1] :
      ( ~ equidistant(X0,reflection(X1,X0),X2,X3)
      | equidistant(X2,X3,X1,X0) ),
    inference(resolution,[],[f2,f37]) ).

fof(f1766,plain,
    ! [X2,X3,X0,X1,X4,X5] :
      ( ~ equidistant(X0,extension(X1,X0,lower_dimension_point_1,lower_dimension_point_2),X2,X3)
      | equidistant(X2,X3,X4,extension(X5,X4,lower_dimension_point_1,lower_dimension_point_2)) ),
    inference(resolution,[],[f2,f67]) ).

fof(f1765,plain,
    ! [X2,X3,X0,X1,X4,X5] :
      ( ~ equidistant(X0,extension(X1,X0,X2,X3),X4,X5)
      | equidistant(X4,X5,X3,X2) ),
    inference(resolution,[],[f2,f313]) ).

fof(f1764,plain,
    ! [X2,X3,X0,X1,X4,X5] :
      ( ~ equidistant(X0,extension(X1,X0,X2,X3),X4,X5)
      | equidistant(X4,X5,X2,X3) ),
    inference(resolution,[],[f2,f5]) ).

fof(f1763,plain,
    ! [X2,X3,X0,X1,X4,X5] :
      ( ~ equidistant(X0,X1,X2,X3)
      | equidistant(X2,X3,insertion(X4,X5,X1,X0),X4) ),
    inference(resolution,[],[f2,f309]) ).

fof(f1762,plain,
    ! [X2,X3,X0,X1,X4,X5] :
      ( ~ equidistant(X0,X1,X2,X3)
      | equidistant(X2,X3,insertion(X4,X5,X0,X1),X4) ),
    inference(resolution,[],[f2,f308]) ).

fof(f1761,plain,
    ! [X2,X3,X0,X1,X4] :
      ( ~ equidistant(X0,X1,X2,X3)
      | equidistant(X2,X3,reflection(X4,X1),X1)
      | X0 != X4 ),
    inference(resolution,[],[f2,f773]) ).

fof(f1760,plain,
    ! [X2,X3,X0,X1] :
      ( ~ equidistant(X0,X1,X2,X3)
      | equidistant(X2,X3,reflection(X0,X1),X1) ),
    inference(resolution,[],[f2,f242]) ).

fof(f1759,plain,
    ! [X2,X3,X0,X1,X4] :
      ( ~ equidistant(X0,X1,X2,X3)
      | equidistant(X2,X3,reflection(X4,X0),X0)
      | X1 != X4 ),
    inference(resolution,[],[f2,f762]) ).

fof(f1758,plain,
    ! [X2,X3,X0,X1] :
      ( ~ equidistant(X0,X1,X2,X3)
      | equidistant(X2,X3,reflection(X1,X0),X0) ),
    inference(resolution,[],[f2,f102]) ).

fof(f1757,plain,
    ! [X2,X3,X0,X1,X4,X5] :
      ( ~ equidistant(X0,X1,X2,X3)
      | equidistant(X2,X3,extension(X4,X5,X1,X0),X5) ),
    inference(resolution,[],[f2,f387]) ).

fof(f1756,plain,
    ! [X2,X3,X0,X1,X4,X5] :
      ( ~ equidistant(X0,X1,X2,X3)
      | equidistant(X2,X3,extension(X4,X5,X0,X1),X5) ),
    inference(resolution,[],[f2,f294]) ).

fof(f1755,plain,
    ! [X2,X3,X0,X1,X4,X5] :
      ( ~ equidistant(X0,X1,X2,X3)
      | equidistant(X2,X3,X4,insertion(X4,X5,X1,X0)) ),
    inference(resolution,[],[f2,f241]) ).

fof(f1754,plain,
    ! [X2,X3,X0,X1,X4,X5] :
      ( ~ equidistant(X0,X1,X2,X3)
      | equidistant(X2,X3,X4,insertion(X4,X5,X0,X1)) ),
    inference(resolution,[],[f2,f75]) ).

fof(f1753,plain,
    ! [X2,X3,X0,X1,X4,X5] :
      ( ~ equidistant(X0,X1,X2,X3)
      | equidistant(X2,X3,X4,extension(X5,X4,X1,X0)) ),
    inference(resolution,[],[f2,f281]) ).

fof(f1752,plain,
    ! [X2,X3,X0,X1,X4,X5] :
      ( ~ equidistant(X0,X1,X2,X3)
      | equidistant(X2,X3,X4,extension(X5,X4,X0,X1)) ),
    inference(resolution,[],[f2,f205]) ).

fof(f1751,plain,
    ! [X2,X3,X0,X1,X4] :
      ( ~ equidistant(X0,X1,X2,X3)
      | equidistant(X2,X3,X4,X1)
      | reflection(X4,X1) != X0 ),
    inference(resolution,[],[f2,f255]) ).

fof(f1750,plain,
    ! [X2,X3,X0,X1,X4] :
      ( ~ equidistant(X0,X1,X2,X3)
      | equidistant(X2,X3,X4,X1)
      | reflection(X0,X1) != X4 ),
    inference(resolution,[],[f2,f271]) ).

fof(f1749,plain,
    ! [X2,X3,X0,X1,X4] :
      ( ~ equidistant(X0,X1,X2,X3)
      | equidistant(X2,X3,X4,X0)
      | reflection(X4,X0) != X1 ),
    inference(resolution,[],[f2,f165]) ).

fof(f1748,plain,
    ! [X2,X3,X0,X1,X4] :
      ( ~ equidistant(X0,X1,X2,X3)
      | equidistant(X2,X3,X4,X0)
      | reflection(X1,X0) != X4 ),
    inference(resolution,[],[f2,f167]) ).

fof(f1747,plain,
    ! [X2,X3,X0,X1,X4] :
      ( ~ equidistant(X0,X1,X2,X3)
      | equidistant(X2,X3,X1,reflection(X4,X1))
      | X0 != X4 ),
    inference(resolution,[],[f2,f771]) ).

fof(f1746,plain,
    ! [X2,X3,X0,X1] :
      ( ~ equidistant(X0,X1,X2,X3)
      | equidistant(X2,X3,X1,reflection(X0,X1)) ),
    inference(resolution,[],[f2,f206]) ).

fof(f1745,plain,
    ! [X2,X3,X0,X1,X4] :
      ( ~ equidistant(X0,X1,X2,X3)
      | equidistant(X2,X3,X1,X4)
      | reflection(X0,X1) != X4 ),
    inference(resolution,[],[f2,f213]) ).

fof(f1744,plain,
    ! [X2,X3,X0,X1,X4] :
      ( ~ equidistant(X0,X1,X2,X3)
      | equidistant(X2,X3,X1,X4)
      | reflection(X4,X1) != X0 ),
    inference(resolution,[],[f2,f221]) ).

fof(f1743,plain,
    ! [X2,X3,X0,X1] :
      ( ~ equidistant(X0,X1,X2,X3)
      | equidistant(X2,X3,X1,X1)
      | X0 != X1 ),
    inference(resolution,[],[f2,f210]) ).

fof(f1741,plain,
    ! [X2,X3,X0,X1,X4] :
      ( ~ equidistant(X0,X1,X2,X3)
      | equidistant(X2,X3,X0,reflection(X4,X0))
      | X1 != X4 ),
    inference(resolution,[],[f2,f772]) ).

fof(f1740,plain,
    ! [X2,X3,X0,X1] :
      ( ~ equidistant(X0,X1,X2,X3)
      | equidistant(X2,X3,X0,reflection(X1,X0)) ),
    inference(resolution,[],[f2,f239]) ).

fof(f1739,plain,
    ! [X2,X3,X0,X1,X4] :
      ( ~ equidistant(X0,X1,X2,X3)
      | equidistant(X2,X3,X0,X4)
      | reflection(X1,X0) != X4 ),
    inference(resolution,[],[f2,f263]) ).

fof(f1738,plain,
    ! [X2,X3,X0,X1,X4] :
      ( ~ equidistant(X0,X1,X2,X3)
      | equidistant(X2,X3,X0,X4)
      | reflection(X4,X0) != X1 ),
    inference(resolution,[],[f2,f280]) ).

fof(f1736,plain,
    ! [X2,X3,X0,X1] :
      ( ~ equidistant(X0,X1,X2,X3)
      | equidistant(X2,X3,X0,X0)
      | X0 != X1 ),
    inference(resolution,[],[f2,f127]) ).

fof(f1735,plain,
    ! [X2,X3,X0,X1] :
      ( ~ equidistant(X0,X0,X1,X2)
      | equidistant(X1,X2,X0,X3)
      | X0 != X3 ),
    inference(resolution,[],[f2,f201]) ).

fof(f1734,plain,
    ! [X2,X3,X0,X1] :
      ( ~ equidistant(X0,X0,X1,X2)
      | equidistant(X1,X2,X3,X0)
      | X0 != X3 ),
    inference(resolution,[],[f2,f124]) ).

fof(f2,axiom,
    ! [X2,X3,X0,X1,X4,X5] :
      ( ~ equidistant(X0,X1,X4,X5)
      | ~ equidistant(X0,X1,X2,X3)
      | equidistant(X2,X3,X4,X5) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',transitivity_for_equidistance) ).

fof(f1732,plain,
    ! [X0] :
      ( equidistant(reflection(lower_dimension_point_2,lower_dimension_point_1),lower_dimension_point_1,X0,lower_dimension_point_2)
      | reflection(lower_dimension_point_1,lower_dimension_point_2) != X0 ),
    inference(forward_demodulation,[],[f1730,f39]) ).

fof(f1730,plain,
    ! [X0] :
      ( equidistant(reflection(lower_dimension_point_2,lower_dimension_point_1),lower_dimension_point_1,reflection(X0,X0),lower_dimension_point_2)
      | reflection(lower_dimension_point_1,lower_dimension_point_2) != X0 ),
    inference(superposition,[],[f1603,f126]) ).

fof(f1728,plain,
    ! [X0] :
      ( equidistant(reflection(lower_dimension_point_2,lower_dimension_point_1),lower_dimension_point_1,reflection(X0,lower_dimension_point_2),lower_dimension_point_2)
      | lower_dimension_point_1 != X0 ),
    inference(superposition,[],[f1603,f610]) ).

fof(f1727,plain,
    ! [X0] :
      ( equidistant(reflection(lower_dimension_point_2,lower_dimension_point_1),lower_dimension_point_1,reflection(X0,lower_dimension_point_2),lower_dimension_point_2)
      | lower_dimension_point_1 != X0 ),
    inference(superposition,[],[f1603,f610]) ).

fof(f1731,plain,
    ! [X0] :
      ( equidistant(X0,lower_dimension_point_1,reflection(lower_dimension_point_1,lower_dimension_point_2),lower_dimension_point_2)
      | reflection(lower_dimension_point_2,lower_dimension_point_1) != X0 ),
    inference(forward_demodulation,[],[f1726,f39]) ).

fof(f1726,plain,
    ! [X0] :
      ( equidistant(reflection(X0,X0),lower_dimension_point_1,reflection(lower_dimension_point_1,lower_dimension_point_2),lower_dimension_point_2)
      | reflection(lower_dimension_point_2,lower_dimension_point_1) != X0 ),
    inference(superposition,[],[f1603,f126]) ).

fof(f1724,plain,
    ! [X0] :
      ( equidistant(reflection(X0,lower_dimension_point_1),lower_dimension_point_1,reflection(lower_dimension_point_1,lower_dimension_point_2),lower_dimension_point_2)
      | lower_dimension_point_2 != X0 ),
    inference(superposition,[],[f1603,f610]) ).

fof(f1723,plain,
    ! [X0] :
      ( equidistant(reflection(X0,lower_dimension_point_1),lower_dimension_point_1,reflection(lower_dimension_point_1,lower_dimension_point_2),lower_dimension_point_2)
      | lower_dimension_point_2 != X0 ),
    inference(superposition,[],[f1603,f610]) ).

fof(f1603,plain,
    equidistant(reflection(lower_dimension_point_2,lower_dimension_point_1),lower_dimension_point_1,reflection(lower_dimension_point_1,lower_dimension_point_2),lower_dimension_point_2),
    inference(resolution,[],[f1594,f32]) ).

fof(f1715,plain,
    ! [X0] :
      ( equidistant(reflection(lower_dimension_point_2,lower_dimension_point_1),lower_dimension_point_1,lower_dimension_point_2,X0)
      | reflection(lower_dimension_point_1,lower_dimension_point_2) != X0 ),
    inference(forward_demodulation,[],[f1713,f39]) ).

fof(f1713,plain,
    ! [X0] :
      ( equidistant(reflection(lower_dimension_point_2,lower_dimension_point_1),lower_dimension_point_1,lower_dimension_point_2,reflection(X0,X0))
      | reflection(lower_dimension_point_1,lower_dimension_point_2) != X0 ),
    inference(superposition,[],[f1602,f126]) ).

fof(f1711,plain,
    ! [X0] :
      ( equidistant(reflection(lower_dimension_point_2,lower_dimension_point_1),lower_dimension_point_1,lower_dimension_point_2,reflection(X0,lower_dimension_point_2))
      | lower_dimension_point_1 != X0 ),
    inference(superposition,[],[f1602,f610]) ).

fof(f1710,plain,
    ! [X0] :
      ( equidistant(reflection(lower_dimension_point_2,lower_dimension_point_1),lower_dimension_point_1,lower_dimension_point_2,reflection(X0,lower_dimension_point_2))
      | lower_dimension_point_1 != X0 ),
    inference(superposition,[],[f1602,f610]) ).

fof(f1714,plain,
    ! [X0] :
      ( equidistant(X0,lower_dimension_point_1,lower_dimension_point_2,reflection(lower_dimension_point_1,lower_dimension_point_2))
      | reflection(lower_dimension_point_2,lower_dimension_point_1) != X0 ),
    inference(forward_demodulation,[],[f1709,f39]) ).

fof(f1709,plain,
    ! [X0] :
      ( equidistant(reflection(X0,X0),lower_dimension_point_1,lower_dimension_point_2,reflection(lower_dimension_point_1,lower_dimension_point_2))
      | reflection(lower_dimension_point_2,lower_dimension_point_1) != X0 ),
    inference(superposition,[],[f1602,f126]) ).

fof(f1707,plain,
    ! [X0] :
      ( equidistant(reflection(X0,lower_dimension_point_1),lower_dimension_point_1,lower_dimension_point_2,reflection(lower_dimension_point_1,lower_dimension_point_2))
      | lower_dimension_point_2 != X0 ),
    inference(superposition,[],[f1602,f610]) ).

fof(f1706,plain,
    ! [X0] :
      ( equidistant(reflection(X0,lower_dimension_point_1),lower_dimension_point_1,lower_dimension_point_2,reflection(lower_dimension_point_1,lower_dimension_point_2))
      | lower_dimension_point_2 != X0 ),
    inference(superposition,[],[f1602,f610]) ).

fof(f1701,plain,
    equidistant(reflection(lower_dimension_point_2,lower_dimension_point_1),lower_dimension_point_1,reflection(lower_dimension_point_1,lower_dimension_point_2),lower_dimension_point_2),
    inference(resolution,[],[f1602,f28]) ).

fof(f1602,plain,
    equidistant(reflection(lower_dimension_point_2,lower_dimension_point_1),lower_dimension_point_1,lower_dimension_point_2,reflection(lower_dimension_point_1,lower_dimension_point_2)),
    inference(resolution,[],[f1594,f31]) ).

fof(f1698,plain,
    ! [X0] :
      ( equidistant(lower_dimension_point_1,reflection(lower_dimension_point_2,lower_dimension_point_1),X0,lower_dimension_point_2)
      | reflection(lower_dimension_point_1,lower_dimension_point_2) != X0 ),
    inference(forward_demodulation,[],[f1696,f39]) ).

fof(f1696,plain,
    ! [X0] :
      ( equidistant(lower_dimension_point_1,reflection(lower_dimension_point_2,lower_dimension_point_1),reflection(X0,X0),lower_dimension_point_2)
      | reflection(lower_dimension_point_1,lower_dimension_point_2) != X0 ),
    inference(superposition,[],[f1601,f126]) ).

fof(f1694,plain,
    ! [X0] :
      ( equidistant(lower_dimension_point_1,reflection(lower_dimension_point_2,lower_dimension_point_1),reflection(X0,lower_dimension_point_2),lower_dimension_point_2)
      | lower_dimension_point_1 != X0 ),
    inference(superposition,[],[f1601,f610]) ).

fof(f1693,plain,
    ! [X0] :
      ( equidistant(lower_dimension_point_1,reflection(lower_dimension_point_2,lower_dimension_point_1),reflection(X0,lower_dimension_point_2),lower_dimension_point_2)
      | lower_dimension_point_1 != X0 ),
    inference(superposition,[],[f1601,f610]) ).

fof(f1697,plain,
    ! [X0] :
      ( equidistant(lower_dimension_point_1,X0,reflection(lower_dimension_point_1,lower_dimension_point_2),lower_dimension_point_2)
      | reflection(lower_dimension_point_2,lower_dimension_point_1) != X0 ),
    inference(forward_demodulation,[],[f1692,f39]) ).

fof(f1692,plain,
    ! [X0] :
      ( equidistant(lower_dimension_point_1,reflection(X0,X0),reflection(lower_dimension_point_1,lower_dimension_point_2),lower_dimension_point_2)
      | reflection(lower_dimension_point_2,lower_dimension_point_1) != X0 ),
    inference(superposition,[],[f1601,f126]) ).

fof(f1690,plain,
    ! [X0] :
      ( equidistant(lower_dimension_point_1,reflection(X0,lower_dimension_point_1),reflection(lower_dimension_point_1,lower_dimension_point_2),lower_dimension_point_2)
      | lower_dimension_point_2 != X0 ),
    inference(superposition,[],[f1601,f610]) ).

fof(f1689,plain,
    ! [X0] :
      ( equidistant(lower_dimension_point_1,reflection(X0,lower_dimension_point_1),reflection(lower_dimension_point_1,lower_dimension_point_2),lower_dimension_point_2)
      | lower_dimension_point_2 != X0 ),
    inference(superposition,[],[f1601,f610]) ).

fof(f1685,plain,
    equidistant(reflection(lower_dimension_point_2,lower_dimension_point_1),lower_dimension_point_1,lower_dimension_point_2,reflection(lower_dimension_point_1,lower_dimension_point_2)),
    inference(resolution,[],[f1601,f29]) ).

fof(f1683,plain,
    equidistant(reflection(lower_dimension_point_2,lower_dimension_point_1),lower_dimension_point_1,reflection(lower_dimension_point_1,lower_dimension_point_2),lower_dimension_point_2),
    inference(resolution,[],[f1601,f27]) ).

fof(f1601,plain,
    equidistant(lower_dimension_point_1,reflection(lower_dimension_point_2,lower_dimension_point_1),reflection(lower_dimension_point_1,lower_dimension_point_2),lower_dimension_point_2),
    inference(resolution,[],[f1594,f30]) ).

fof(f1681,plain,
    ! [X0] :
      ( equidistant(reflection(lower_dimension_point_1,lower_dimension_point_2),lower_dimension_point_2,X0,lower_dimension_point_1)
      | reflection(lower_dimension_point_2,lower_dimension_point_1) != X0 ),
    inference(forward_demodulation,[],[f1679,f39]) ).

fof(f1679,plain,
    ! [X0] :
      ( equidistant(reflection(lower_dimension_point_1,lower_dimension_point_2),lower_dimension_point_2,reflection(X0,X0),lower_dimension_point_1)
      | reflection(lower_dimension_point_2,lower_dimension_point_1) != X0 ),
    inference(superposition,[],[f1600,f126]) ).

fof(f1677,plain,
    ! [X0] :
      ( equidistant(reflection(lower_dimension_point_1,lower_dimension_point_2),lower_dimension_point_2,reflection(X0,lower_dimension_point_1),lower_dimension_point_1)
      | lower_dimension_point_2 != X0 ),
    inference(superposition,[],[f1600,f610]) ).

fof(f1676,plain,
    ! [X0] :
      ( equidistant(reflection(lower_dimension_point_1,lower_dimension_point_2),lower_dimension_point_2,reflection(X0,lower_dimension_point_1),lower_dimension_point_1)
      | lower_dimension_point_2 != X0 ),
    inference(superposition,[],[f1600,f610]) ).

fof(f1680,plain,
    ! [X0] :
      ( equidistant(X0,lower_dimension_point_2,reflection(lower_dimension_point_2,lower_dimension_point_1),lower_dimension_point_1)
      | reflection(lower_dimension_point_1,lower_dimension_point_2) != X0 ),
    inference(forward_demodulation,[],[f1675,f39]) ).

fof(f1675,plain,
    ! [X0] :
      ( equidistant(reflection(X0,X0),lower_dimension_point_2,reflection(lower_dimension_point_2,lower_dimension_point_1),lower_dimension_point_1)
      | reflection(lower_dimension_point_1,lower_dimension_point_2) != X0 ),
    inference(superposition,[],[f1600,f126]) ).

fof(f1673,plain,
    ! [X0] :
      ( equidistant(reflection(X0,lower_dimension_point_2),lower_dimension_point_2,reflection(lower_dimension_point_2,lower_dimension_point_1),lower_dimension_point_1)
      | lower_dimension_point_1 != X0 ),
    inference(superposition,[],[f1600,f610]) ).

fof(f1672,plain,
    ! [X0] :
      ( equidistant(reflection(X0,lower_dimension_point_2),lower_dimension_point_2,reflection(lower_dimension_point_2,lower_dimension_point_1),lower_dimension_point_1)
      | lower_dimension_point_1 != X0 ),
    inference(superposition,[],[f1600,f610]) ).

fof(f1670,plain,
    equidistant(lower_dimension_point_1,reflection(lower_dimension_point_2,lower_dimension_point_1),reflection(lower_dimension_point_1,lower_dimension_point_2),lower_dimension_point_2),
    inference(resolution,[],[f1600,f31]) ).

fof(f1669,plain,
    equidistant(reflection(lower_dimension_point_2,lower_dimension_point_1),lower_dimension_point_1,lower_dimension_point_2,reflection(lower_dimension_point_1,lower_dimension_point_2)),
    inference(resolution,[],[f1600,f30]) ).

fof(f1665,plain,
    equidistant(reflection(lower_dimension_point_2,lower_dimension_point_1),lower_dimension_point_1,reflection(lower_dimension_point_1,lower_dimension_point_2),lower_dimension_point_2),
    inference(resolution,[],[f1600,f26]) ).

fof(f1600,plain,
    equidistant(reflection(lower_dimension_point_1,lower_dimension_point_2),lower_dimension_point_2,reflection(lower_dimension_point_2,lower_dimension_point_1),lower_dimension_point_1),
    inference(resolution,[],[f1594,f29]) ).

fof(f1664,plain,
    ! [X0] :
      ( equidistant(lower_dimension_point_2,reflection(lower_dimension_point_1,lower_dimension_point_2),X0,lower_dimension_point_1)
      | reflection(lower_dimension_point_2,lower_dimension_point_1) != X0 ),
    inference(forward_demodulation,[],[f1662,f39]) ).

fof(f1662,plain,
    ! [X0] :
      ( equidistant(lower_dimension_point_2,reflection(lower_dimension_point_1,lower_dimension_point_2),reflection(X0,X0),lower_dimension_point_1)
      | reflection(lower_dimension_point_2,lower_dimension_point_1) != X0 ),
    inference(superposition,[],[f1599,f126]) ).

fof(f1660,plain,
    ! [X0] :
      ( equidistant(lower_dimension_point_2,reflection(lower_dimension_point_1,lower_dimension_point_2),reflection(X0,lower_dimension_point_1),lower_dimension_point_1)
      | lower_dimension_point_2 != X0 ),
    inference(superposition,[],[f1599,f610]) ).

fof(f1659,plain,
    ! [X0] :
      ( equidistant(lower_dimension_point_2,reflection(lower_dimension_point_1,lower_dimension_point_2),reflection(X0,lower_dimension_point_1),lower_dimension_point_1)
      | lower_dimension_point_2 != X0 ),
    inference(superposition,[],[f1599,f610]) ).

fof(f1663,plain,
    ! [X0] :
      ( equidistant(lower_dimension_point_2,X0,reflection(lower_dimension_point_2,lower_dimension_point_1),lower_dimension_point_1)
      | reflection(lower_dimension_point_1,lower_dimension_point_2) != X0 ),
    inference(forward_demodulation,[],[f1658,f39]) ).

fof(f1658,plain,
    ! [X0] :
      ( equidistant(lower_dimension_point_2,reflection(X0,X0),reflection(lower_dimension_point_2,lower_dimension_point_1),lower_dimension_point_1)
      | reflection(lower_dimension_point_1,lower_dimension_point_2) != X0 ),
    inference(superposition,[],[f1599,f126]) ).

fof(f1656,plain,
    ! [X0] :
      ( equidistant(lower_dimension_point_2,reflection(X0,lower_dimension_point_2),reflection(lower_dimension_point_2,lower_dimension_point_1),lower_dimension_point_1)
      | lower_dimension_point_1 != X0 ),
    inference(superposition,[],[f1599,f610]) ).

fof(f1655,plain,
    ! [X0] :
      ( equidistant(lower_dimension_point_2,reflection(X0,lower_dimension_point_2),reflection(lower_dimension_point_2,lower_dimension_point_1),lower_dimension_point_1)
      | lower_dimension_point_1 != X0 ),
    inference(superposition,[],[f1599,f610]) ).

fof(f1654,plain,
    equidistant(lower_dimension_point_1,reflection(lower_dimension_point_2,lower_dimension_point_1),reflection(lower_dimension_point_1,lower_dimension_point_2),lower_dimension_point_2),
    inference(resolution,[],[f1599,f32]) ).

fof(f1652,plain,
    equidistant(reflection(lower_dimension_point_2,lower_dimension_point_1),lower_dimension_point_1,reflection(lower_dimension_point_1,lower_dimension_point_2),lower_dimension_point_2),
    inference(resolution,[],[f1599,f30]) ).

fof(f1649,plain,
    equidistant(reflection(lower_dimension_point_1,lower_dimension_point_2),lower_dimension_point_2,reflection(lower_dimension_point_2,lower_dimension_point_1),lower_dimension_point_1),
    inference(resolution,[],[f1599,f27]) ).

fof(f1648,plain,
    equidistant(reflection(lower_dimension_point_2,lower_dimension_point_1),lower_dimension_point_1,lower_dimension_point_2,reflection(lower_dimension_point_1,lower_dimension_point_2)),
    inference(resolution,[],[f1599,f26]) ).

fof(f1599,plain,
    equidistant(lower_dimension_point_2,reflection(lower_dimension_point_1,lower_dimension_point_2),reflection(lower_dimension_point_2,lower_dimension_point_1),lower_dimension_point_1),
    inference(resolution,[],[f1594,f28]) ).

fof(f1647,plain,
    ! [X0] :
      ( equidistant(reflection(lower_dimension_point_1,lower_dimension_point_2),lower_dimension_point_2,lower_dimension_point_1,X0)
      | reflection(lower_dimension_point_2,lower_dimension_point_1) != X0 ),
    inference(forward_demodulation,[],[f1645,f39]) ).

fof(f1645,plain,
    ! [X0] :
      ( equidistant(reflection(lower_dimension_point_1,lower_dimension_point_2),lower_dimension_point_2,lower_dimension_point_1,reflection(X0,X0))
      | reflection(lower_dimension_point_2,lower_dimension_point_1) != X0 ),
    inference(superposition,[],[f1598,f126]) ).

fof(f1643,plain,
    ! [X0] :
      ( equidistant(reflection(lower_dimension_point_1,lower_dimension_point_2),lower_dimension_point_2,lower_dimension_point_1,reflection(X0,lower_dimension_point_1))
      | lower_dimension_point_2 != X0 ),
    inference(superposition,[],[f1598,f610]) ).

fof(f1642,plain,
    ! [X0] :
      ( equidistant(reflection(lower_dimension_point_1,lower_dimension_point_2),lower_dimension_point_2,lower_dimension_point_1,reflection(X0,lower_dimension_point_1))
      | lower_dimension_point_2 != X0 ),
    inference(superposition,[],[f1598,f610]) ).

fof(f1646,plain,
    ! [X0] :
      ( equidistant(X0,lower_dimension_point_2,lower_dimension_point_1,reflection(lower_dimension_point_2,lower_dimension_point_1))
      | reflection(lower_dimension_point_1,lower_dimension_point_2) != X0 ),
    inference(forward_demodulation,[],[f1641,f39]) ).

fof(f1641,plain,
    ! [X0] :
      ( equidistant(reflection(X0,X0),lower_dimension_point_2,lower_dimension_point_1,reflection(lower_dimension_point_2,lower_dimension_point_1))
      | reflection(lower_dimension_point_1,lower_dimension_point_2) != X0 ),
    inference(superposition,[],[f1598,f126]) ).

fof(f1639,plain,
    ! [X0] :
      ( equidistant(reflection(X0,lower_dimension_point_2),lower_dimension_point_2,lower_dimension_point_1,reflection(lower_dimension_point_2,lower_dimension_point_1))
      | lower_dimension_point_1 != X0 ),
    inference(superposition,[],[f1598,f610]) ).

fof(f1638,plain,
    ! [X0] :
      ( equidistant(reflection(X0,lower_dimension_point_2),lower_dimension_point_2,lower_dimension_point_1,reflection(lower_dimension_point_2,lower_dimension_point_1))
      | lower_dimension_point_1 != X0 ),
    inference(superposition,[],[f1598,f610]) ).

fof(f1637,plain,
    equidistant(reflection(lower_dimension_point_2,lower_dimension_point_1),lower_dimension_point_1,lower_dimension_point_2,reflection(lower_dimension_point_1,lower_dimension_point_2)),
    inference(resolution,[],[f1598,f32]) ).

fof(f1636,plain,
    equidistant(reflection(lower_dimension_point_2,lower_dimension_point_1),lower_dimension_point_1,reflection(lower_dimension_point_1,lower_dimension_point_2),lower_dimension_point_2),
    inference(resolution,[],[f1598,f31]) ).

fof(f1634,plain,
    equidistant(lower_dimension_point_2,reflection(lower_dimension_point_1,lower_dimension_point_2),reflection(lower_dimension_point_2,lower_dimension_point_1),lower_dimension_point_1),
    inference(resolution,[],[f1598,f29]) ).

fof(f1633,plain,
    equidistant(reflection(lower_dimension_point_1,lower_dimension_point_2),lower_dimension_point_2,reflection(lower_dimension_point_2,lower_dimension_point_1),lower_dimension_point_1),
    inference(resolution,[],[f1598,f28]) ).

fof(f1631,plain,
    equidistant(lower_dimension_point_1,reflection(lower_dimension_point_2,lower_dimension_point_1),reflection(lower_dimension_point_1,lower_dimension_point_2),lower_dimension_point_2),
    inference(resolution,[],[f1598,f26]) ).

fof(f1598,plain,
    equidistant(reflection(lower_dimension_point_1,lower_dimension_point_2),lower_dimension_point_2,lower_dimension_point_1,reflection(lower_dimension_point_2,lower_dimension_point_1)),
    inference(resolution,[],[f1594,f27]) ).

fof(f1630,plain,
    ! [X0] :
      ( equidistant(lower_dimension_point_1,reflection(lower_dimension_point_2,lower_dimension_point_1),lower_dimension_point_2,X0)
      | reflection(lower_dimension_point_1,lower_dimension_point_2) != X0 ),
    inference(forward_demodulation,[],[f1628,f39]) ).

fof(f1628,plain,
    ! [X0] :
      ( equidistant(lower_dimension_point_1,reflection(lower_dimension_point_2,lower_dimension_point_1),lower_dimension_point_2,reflection(X0,X0))
      | reflection(lower_dimension_point_1,lower_dimension_point_2) != X0 ),
    inference(superposition,[],[f1597,f126]) ).

fof(f1626,plain,
    ! [X0] :
      ( equidistant(lower_dimension_point_1,reflection(lower_dimension_point_2,lower_dimension_point_1),lower_dimension_point_2,reflection(X0,lower_dimension_point_2))
      | lower_dimension_point_1 != X0 ),
    inference(superposition,[],[f1597,f610]) ).

fof(f1625,plain,
    ! [X0] :
      ( equidistant(lower_dimension_point_1,reflection(lower_dimension_point_2,lower_dimension_point_1),lower_dimension_point_2,reflection(X0,lower_dimension_point_2))
      | lower_dimension_point_1 != X0 ),
    inference(superposition,[],[f1597,f610]) ).

fof(f1629,plain,
    ! [X0] :
      ( equidistant(lower_dimension_point_1,X0,lower_dimension_point_2,reflection(lower_dimension_point_1,lower_dimension_point_2))
      | reflection(lower_dimension_point_2,lower_dimension_point_1) != X0 ),
    inference(forward_demodulation,[],[f1624,f39]) ).

fof(f1624,plain,
    ! [X0] :
      ( equidistant(lower_dimension_point_1,reflection(X0,X0),lower_dimension_point_2,reflection(lower_dimension_point_1,lower_dimension_point_2))
      | reflection(lower_dimension_point_2,lower_dimension_point_1) != X0 ),
    inference(superposition,[],[f1597,f126]) ).

fof(f1622,plain,
    ! [X0] :
      ( equidistant(lower_dimension_point_1,reflection(X0,lower_dimension_point_1),lower_dimension_point_2,reflection(lower_dimension_point_1,lower_dimension_point_2))
      | lower_dimension_point_2 != X0 ),
    inference(superposition,[],[f1597,f610]) ).

fof(f1621,plain,
    ! [X0] :
      ( equidistant(lower_dimension_point_1,reflection(X0,lower_dimension_point_1),lower_dimension_point_2,reflection(lower_dimension_point_1,lower_dimension_point_2))
      | lower_dimension_point_2 != X0 ),
    inference(superposition,[],[f1597,f610]) ).

fof(f1620,plain,
    equidistant(reflection(lower_dimension_point_1,lower_dimension_point_2),lower_dimension_point_2,reflection(lower_dimension_point_2,lower_dimension_point_1),lower_dimension_point_1),
    inference(resolution,[],[f1597,f32]) ).

fof(f1619,plain,
    equidistant(reflection(lower_dimension_point_1,lower_dimension_point_2),lower_dimension_point_2,lower_dimension_point_1,reflection(lower_dimension_point_2,lower_dimension_point_1)),
    inference(resolution,[],[f1597,f31]) ).

fof(f1618,plain,
    equidistant(lower_dimension_point_2,reflection(lower_dimension_point_1,lower_dimension_point_2),reflection(lower_dimension_point_2,lower_dimension_point_1),lower_dimension_point_1),
    inference(resolution,[],[f1597,f30]) ).

fof(f1617,plain,
    equidistant(reflection(lower_dimension_point_2,lower_dimension_point_1),lower_dimension_point_1,reflection(lower_dimension_point_1,lower_dimension_point_2),lower_dimension_point_2),
    inference(resolution,[],[f1597,f29]) ).

fof(f1616,plain,
    equidistant(lower_dimension_point_1,reflection(lower_dimension_point_2,lower_dimension_point_1),reflection(lower_dimension_point_1,lower_dimension_point_2),lower_dimension_point_2),
    inference(resolution,[],[f1597,f28]) ).

fof(f1615,plain,
    equidistant(reflection(lower_dimension_point_2,lower_dimension_point_1),lower_dimension_point_1,lower_dimension_point_2,reflection(lower_dimension_point_1,lower_dimension_point_2)),
    inference(resolution,[],[f1597,f27]) ).

fof(f1597,plain,
    equidistant(lower_dimension_point_1,reflection(lower_dimension_point_2,lower_dimension_point_1),lower_dimension_point_2,reflection(lower_dimension_point_1,lower_dimension_point_2)),
    inference(resolution,[],[f1594,f26]) ).

fof(f1613,plain,
    ! [X0] :
      ( equidistant(lower_dimension_point_2,reflection(lower_dimension_point_1,lower_dimension_point_2),lower_dimension_point_1,X0)
      | reflection(lower_dimension_point_2,lower_dimension_point_1) != X0 ),
    inference(forward_demodulation,[],[f1611,f39]) ).

fof(f1611,plain,
    ! [X0] :
      ( equidistant(lower_dimension_point_2,reflection(lower_dimension_point_1,lower_dimension_point_2),lower_dimension_point_1,reflection(X0,X0))
      | reflection(lower_dimension_point_2,lower_dimension_point_1) != X0 ),
    inference(superposition,[],[f1594,f126]) ).

fof(f1609,plain,
    ! [X0] :
      ( equidistant(lower_dimension_point_2,reflection(lower_dimension_point_1,lower_dimension_point_2),lower_dimension_point_1,reflection(X0,lower_dimension_point_1))
      | lower_dimension_point_2 != X0 ),
    inference(superposition,[],[f1594,f610]) ).

fof(f1608,plain,
    ! [X0] :
      ( equidistant(lower_dimension_point_2,reflection(lower_dimension_point_1,lower_dimension_point_2),lower_dimension_point_1,reflection(X0,lower_dimension_point_1))
      | lower_dimension_point_2 != X0 ),
    inference(superposition,[],[f1594,f610]) ).

fof(f1612,plain,
    ! [X0] :
      ( equidistant(lower_dimension_point_2,X0,lower_dimension_point_1,reflection(lower_dimension_point_2,lower_dimension_point_1))
      | reflection(lower_dimension_point_1,lower_dimension_point_2) != X0 ),
    inference(forward_demodulation,[],[f1607,f39]) ).

fof(f1607,plain,
    ! [X0] :
      ( equidistant(lower_dimension_point_2,reflection(X0,X0),lower_dimension_point_1,reflection(lower_dimension_point_2,lower_dimension_point_1))
      | reflection(lower_dimension_point_1,lower_dimension_point_2) != X0 ),
    inference(superposition,[],[f1594,f126]) ).

fof(f1605,plain,
    ! [X0] :
      ( equidistant(lower_dimension_point_2,reflection(X0,lower_dimension_point_2),lower_dimension_point_1,reflection(lower_dimension_point_2,lower_dimension_point_1))
      | lower_dimension_point_1 != X0 ),
    inference(superposition,[],[f1594,f610]) ).

fof(f1604,plain,
    ! [X0] :
      ( equidistant(lower_dimension_point_2,reflection(X0,lower_dimension_point_2),lower_dimension_point_1,reflection(lower_dimension_point_2,lower_dimension_point_1))
      | lower_dimension_point_1 != X0 ),
    inference(superposition,[],[f1594,f610]) ).

fof(f1594,plain,
    equidistant(lower_dimension_point_2,reflection(lower_dimension_point_1,lower_dimension_point_2),lower_dimension_point_1,reflection(lower_dimension_point_2,lower_dimension_point_1)),
    inference(subsumption_resolution,[],[f1590,f63]) ).

fof(f1590,plain,
    ( equidistant(lower_dimension_point_2,reflection(lower_dimension_point_1,lower_dimension_point_2),lower_dimension_point_1,reflection(lower_dimension_point_2,lower_dimension_point_1))
    | lower_dimension_point_1 = lower_dimension_point_2 ),
    inference(superposition,[],[f1414,f1440]) ).

fof(f1596,plain,
    ! [X2,X0,X1] :
      ( equidistant(lower_dimension_point_2,reflection(lower_dimension_point_1,lower_dimension_point_2),X1,X2)
      | extension(X0,X1,lower_dimension_point_1,lower_dimension_point_2) != X2 ),
    inference(forward_demodulation,[],[f1592,f39]) ).

fof(f1592,plain,
    ! [X2,X0,X1] :
      ( equidistant(lower_dimension_point_2,reflection(lower_dimension_point_1,lower_dimension_point_2),X1,reflection(X2,X2))
      | extension(X0,X1,lower_dimension_point_1,lower_dimension_point_2) != X2 ),
    inference(superposition,[],[f1414,f126]) ).

fof(f1595,plain,
    ! [X2,X0,X1] :
      ( equidistant(lower_dimension_point_2,reflection(lower_dimension_point_1,lower_dimension_point_2),X1,X2)
      | extension(X0,X1,lower_dimension_point_1,lower_dimension_point_2) != X2 ),
    inference(forward_demodulation,[],[f1591,f48]) ).

fof(f1591,plain,
    ! [X2,X3,X0,X1] :
      ( equidistant(lower_dimension_point_2,reflection(lower_dimension_point_1,lower_dimension_point_2),X1,reflection(reflection(X2,X3),X3))
      | extension(X0,X1,lower_dimension_point_1,lower_dimension_point_2) != X2 ),
    inference(superposition,[],[f1414,f761]) ).

fof(f1593,plain,
    ! [X2,X0,X1] :
      ( equidistant(lower_dimension_point_2,X0,X1,extension(X2,X1,lower_dimension_point_1,lower_dimension_point_2))
      | reflection(lower_dimension_point_1,lower_dimension_point_2) != X0 ),
    inference(forward_demodulation,[],[f1588,f39]) ).

fof(f1588,plain,
    ! [X2,X0,X1] :
      ( equidistant(lower_dimension_point_2,reflection(X0,X0),X1,extension(X2,X1,lower_dimension_point_1,lower_dimension_point_2))
      | reflection(lower_dimension_point_1,lower_dimension_point_2) != X0 ),
    inference(superposition,[],[f1414,f126]) ).

fof(f1586,plain,
    ! [X2,X0,X1] :
      ( equidistant(lower_dimension_point_2,reflection(X0,lower_dimension_point_2),X1,extension(X2,X1,lower_dimension_point_1,lower_dimension_point_2))
      | lower_dimension_point_1 != X0 ),
    inference(superposition,[],[f1414,f610]) ).

fof(f1585,plain,
    ! [X2,X0,X1] :
      ( equidistant(lower_dimension_point_2,reflection(X0,lower_dimension_point_2),X1,extension(X2,X1,lower_dimension_point_1,lower_dimension_point_2))
      | lower_dimension_point_1 != X0 ),
    inference(superposition,[],[f1414,f610]) ).

fof(f1584,plain,
    ! [X0] :
      ( ~ between(lower_dimension_point_2,reflection(lower_dimension_point_1,lower_dimension_point_2),extension(X0,lower_dimension_point_2,lower_dimension_point_1,lower_dimension_point_2))
      | reflection(lower_dimension_point_1,lower_dimension_point_2) = extension(X0,lower_dimension_point_2,lower_dimension_point_1,lower_dimension_point_2) ),
    inference(resolution,[],[f1414,f87]) ).

fof(f1583,plain,
    ! [X0,X1] : equidistant(extension(X0,X1,lower_dimension_point_1,lower_dimension_point_2),X1,reflection(lower_dimension_point_1,lower_dimension_point_2),lower_dimension_point_2),
    inference(resolution,[],[f1414,f32]) ).

fof(f1582,plain,
    ! [X0,X1] : equidistant(extension(X0,X1,lower_dimension_point_1,lower_dimension_point_2),X1,lower_dimension_point_2,reflection(lower_dimension_point_1,lower_dimension_point_2)),
    inference(resolution,[],[f1414,f31]) ).

fof(f1581,plain,
    ! [X0,X1] : equidistant(X0,extension(X1,X0,lower_dimension_point_1,lower_dimension_point_2),reflection(lower_dimension_point_1,lower_dimension_point_2),lower_dimension_point_2),
    inference(resolution,[],[f1414,f30]) ).

fof(f1580,plain,
    ! [X0,X1] : equidistant(reflection(lower_dimension_point_1,lower_dimension_point_2),lower_dimension_point_2,extension(X0,X1,lower_dimension_point_1,lower_dimension_point_2),X1),
    inference(resolution,[],[f1414,f29]) ).

fof(f1579,plain,
    ! [X0,X1] : equidistant(lower_dimension_point_2,reflection(lower_dimension_point_1,lower_dimension_point_2),extension(X0,X1,lower_dimension_point_1,lower_dimension_point_2),X1),
    inference(resolution,[],[f1414,f28]) ).

fof(f1578,plain,
    ! [X0,X1] : equidistant(reflection(lower_dimension_point_1,lower_dimension_point_2),lower_dimension_point_2,X0,extension(X1,X0,lower_dimension_point_1,lower_dimension_point_2)),
    inference(resolution,[],[f1414,f27]) ).

fof(f1577,plain,
    ! [X0,X1] : equidistant(X0,extension(X1,X0,lower_dimension_point_1,lower_dimension_point_2),lower_dimension_point_2,reflection(lower_dimension_point_1,lower_dimension_point_2)),
    inference(resolution,[],[f1414,f26]) ).

fof(f1414,plain,
    ! [X0,X1] : equidistant(lower_dimension_point_2,reflection(lower_dimension_point_1,lower_dimension_point_2),X0,extension(X1,X0,lower_dimension_point_1,lower_dimension_point_2)),
    inference(superposition,[],[f67,f23]) ).

fof(f1566,plain,
    ! [X2,X3,X0,X1,X4] :
      ( reflection(X4,X4) = X1
      | insertion(X0,extension(X0,X1,X2,X3),X0,X1) != X4 ),
    inference(superposition,[],[f710,f126]) ).

fof(f1565,plain,
    ! [X2,X3,X0,X1,X4,X5] :
      ( reflection(reflection(X4,X5),X5) = X1
      | insertion(X0,extension(X0,X1,X2,X3),X0,X1) != X4 ),
    inference(superposition,[],[f710,f761]) ).

fof(f1576,plain,
    ! [X2,X3,X0,X1,X4] :
      ( insertion(X0,X4,X0,X1) = X1
      | extension(X0,X1,X2,X3) != X4 ),
    inference(forward_demodulation,[],[f1564,f39]) ).

fof(f1564,plain,
    ! [X2,X3,X0,X1,X4] :
      ( insertion(X0,reflection(X4,X4),X0,X1) = X1
      | extension(X0,X1,X2,X3) != X4 ),
    inference(superposition,[],[f710,f126]) ).

fof(f1575,plain,
    ! [X2,X3,X0,X1,X4] :
      ( insertion(X0,X4,X0,X1) = X1
      | extension(X0,X1,X2,X3) != X4 ),
    inference(forward_demodulation,[],[f1563,f48]) ).

fof(f1563,plain,
    ! [X2,X3,X0,X1,X4,X5] :
      ( insertion(X0,reflection(reflection(X4,X5),X5),X0,X1) = X1
      | extension(X0,X1,X2,X3) != X4 ),
    inference(superposition,[],[f710,f761]) ).

fof(f710,plain,
    ! [X2,X3,X0,X1] : insertion(X0,extension(X0,X1,X2,X3),X0,X1) = X1,
    inference(resolution,[],[f78,f4]) ).

fof(f1559,plain,
    ! [X2,X0,X1] :
      ( ~ between(X0,X2,X1)
      | reflection(X0,X1) = X1
      | reflection(X0,X1) != X2 ),
    inference(forward_demodulation,[],[f1554,f39]) ).

fof(f1554,plain,
    ! [X2,X0,X1] :
      ( ~ between(X0,reflection(X2,X2),X1)
      | reflection(X0,X1) = X1
      | reflection(X0,X1) != X2 ),
    inference(superposition,[],[f665,f126]) ).

fof(f1558,plain,
    ! [X2,X0,X1] :
      ( ~ between(X0,X2,X1)
      | reflection(X0,X1) = X1
      | reflection(X0,X1) != X2 ),
    inference(forward_demodulation,[],[f1553,f48]) ).

fof(f1553,plain,
    ! [X2,X3,X0,X1] :
      ( ~ between(X0,reflection(reflection(X2,X3),X3),X1)
      | reflection(X0,X1) = X1
      | reflection(X0,X1) != X2 ),
    inference(superposition,[],[f665,f761]) ).

fof(f1556,plain,
    ! [X2,X0,X1] :
      ( X0 = X1
      | ~ between(reflection(X0,X1),X2,X1)
      | X0 != X2 ),
    inference(forward_demodulation,[],[f1551,f48]) ).

fof(f1551,plain,
    ! [X2,X0,X1] :
      ( ~ between(reflection(X0,X1),X2,X1)
      | reflection(reflection(X0,X1),X1) = X1
      | X0 != X2 ),
    inference(superposition,[],[f665,f761]) ).

fof(f1549,plain,
    ! [X2,X0,X1] :
      ( ~ between(X0,reflection(X2,X1),X1)
      | reflection(X0,X1) = X1
      | X0 != X2 ),
    inference(superposition,[],[f665,f610]) ).

fof(f1548,plain,
    ! [X2,X0,X1] :
      ( ~ between(X0,reflection(X2,X1),X1)
      | reflection(X0,X1) = X1
      | X0 != X2 ),
    inference(superposition,[],[f665,f610]) ).

fof(f1545,plain,
    ! [X0,X1] :
      ( reflection(reflection(X0,X1),X0) = X0
      | ~ between(X1,reflection(reflection(X0,X1),X0),X0) ),
    inference(resolution,[],[f665,f949]) ).

fof(f1544,plain,
    ! [X0,X1] :
      ( reflection(reflection(X0,X1),X0) = X0
      | ~ between(X0,reflection(reflection(X0,X1),X0),X1) ),
    inference(resolution,[],[f665,f1205]) ).

fof(f1543,plain,
    ! [X0,X1] :
      ( reflection(X0,X1) = reflection(X0,reflection(X0,X1))
      | ~ between(X1,reflection(X0,reflection(X0,X1)),X0) ),
    inference(resolution,[],[f665,f961]) ).

fof(f1542,plain,
    ! [X0,X1] :
      ( reflection(X0,X1) = reflection(X0,reflection(X0,X1))
      | ~ between(X0,reflection(X0,reflection(X0,X1)),X1) ),
    inference(resolution,[],[f665,f1170]) ).

fof(f1540,plain,
    ! [X0,X1] :
      ( reflection(X0,X1) = X1
      | reflection(X0,X1) != X0 ),
    inference(resolution,[],[f665,f493]) ).

fof(f665,plain,
    ! [X0,X1] :
      ( ~ between(X0,reflection(X0,X1),X1)
      | reflection(X0,X1) = X1 ),
    inference(resolution,[],[f54,f36]) ).

fof(f1539,plain,
    ! [X2,X3,X0,X1,X4] :
      ( ~ between(X1,X0,X4)
      | X0 = X1
      | extension(X0,X1,X2,X3) != X4 ),
    inference(forward_demodulation,[],[f1536,f39]) ).

fof(f1536,plain,
    ! [X2,X3,X0,X1,X4] :
      ( ~ between(X1,X0,reflection(X4,X4))
      | X0 = X1
      | extension(X0,X1,X2,X3) != X4 ),
    inference(superposition,[],[f576,f126]) ).

fof(f1538,plain,
    ! [X2,X3,X0,X1,X4] :
      ( ~ between(X1,X0,X4)
      | X0 = X1
      | extension(X0,X1,X2,X3) != X4 ),
    inference(forward_demodulation,[],[f1535,f48]) ).

fof(f1535,plain,
    ! [X2,X3,X0,X1,X4,X5] :
      ( ~ between(X1,X0,reflection(reflection(X4,X5),X5))
      | X0 = X1
      | extension(X0,X1,X2,X3) != X4 ),
    inference(superposition,[],[f576,f761]) ).

fof(f1531,plain,
    ! [X2,X3,X0,X1] :
      ( reflection(X0,X1) = X1
      | extension(X1,reflection(X0,X1),X2,X3) != X0 ),
    inference(resolution,[],[f576,f187]) ).

fof(f1530,plain,
    ! [X2,X3,X0,X1] :
      ( reflection(X0,X1) = X1
      | ~ between(X0,extension(X1,reflection(X0,X1),X2,X3),X1) ),
    inference(resolution,[],[f576,f879]) ).

fof(f576,plain,
    ! [X2,X3,X0,X1] :
      ( ~ between(X0,X1,extension(X1,X0,X2,X3))
      | X0 = X1 ),
    inference(resolution,[],[f53,f4]) ).

fof(f1524,plain,
    ! [X2,X3,X0,X1,X4] :
      ( reflection(X4,X4) != X0
      | X0 = X1
      | extension(X0,X1,X2,X3) != X4 ),
    inference(superposition,[],[f1464,f126]) ).

fof(f1523,plain,
    ! [X2,X3,X0,X1,X4,X5] :
      ( reflection(reflection(X4,X5),X5) != X0
      | X0 = X1
      | extension(X0,X1,X2,X3) != X4 ),
    inference(superposition,[],[f1464,f761]) ).

fof(f1464,plain,
    ! [X2,X3,X0,X1] :
      ( extension(X0,X1,X2,X3) != X0
      | X0 = X1 ),
    inference(resolution,[],[f575,f4]) ).

fof(f1511,plain,
    ! [X2,X3,X0,X1] :
      ( reflection(X3,X3) = X2
      | X0 != X2
      | insertion(X0,X1,X0,X2) != X3 ),
    inference(superposition,[],[f708,f126]) ).

fof(f1510,plain,
    ! [X2,X3,X0,X1,X4] :
      ( reflection(reflection(X3,X4),X4) = X2
      | X0 != X2
      | insertion(X0,X1,X0,X2) != X3 ),
    inference(superposition,[],[f708,f761]) ).

fof(f708,plain,
    ! [X2,X0,X1] :
      ( insertion(X0,X1,X0,X2) = X2
      | X0 != X2 ),
    inference(resolution,[],[f78,f493]) ).

fof(f1505,plain,
    ! [X2,X3,X0,X1] :
      ( X0 = X1
      | extension(X1,X0,X2,X3) != X1 ),
    inference(resolution,[],[f662,f118]) ).

fof(f1504,plain,
    ! [X2,X0,X1] :
      ( X0 = X1
      | reflection(X1,X2) != X1
      | ~ between(X2,X0,X1) ),
    inference(resolution,[],[f662,f949]) ).

fof(f1503,plain,
    ! [X2,X0,X1] :
      ( X0 = X1
      | reflection(X1,X2) != X1
      | ~ between(X1,X0,X2) ),
    inference(resolution,[],[f662,f1205]) ).

fof(f1502,plain,
    ! [X2,X0,X1] :
      ( X0 = X1
      | reflection(X2,X0) != X1
      | X1 != X2 ),
    inference(resolution,[],[f662,f187]) ).

fof(f1501,plain,
    ! [X2,X0,X1] :
      ( X0 = X1
      | reflection(X2,X0) != X1
      | ~ between(X2,X1,X0) ),
    inference(resolution,[],[f662,f879]) ).

fof(f1509,plain,
    ! [X2,X0,X1] :
      ( X0 = X1
      | reflection(X1,X2) != X1
      | ~ between(X2,X0,X1) ),
    inference(inner_rewriting,[],[f1499]) ).

fof(f1499,plain,
    ! [X2,X0,X1] :
      ( reflection(X1,X2) = X0
      | reflection(X1,X2) != X1
      | ~ between(X2,X0,X1) ),
    inference(resolution,[],[f662,f961]) ).

fof(f1508,plain,
    ! [X2,X0,X1] :
      ( X0 = X1
      | reflection(X1,X2) != X1
      | ~ between(X1,X0,X2) ),
    inference(inner_rewriting,[],[f1498]) ).

fof(f1498,plain,
    ! [X2,X0,X1] :
      ( reflection(X1,X2) = X0
      | reflection(X1,X2) != X1
      | ~ between(X1,X0,X2) ),
    inference(resolution,[],[f662,f1170]) ).

fof(f1497,plain,
    ! [X2,X0,X1] :
      ( reflection(X1,X0) = X0
      | reflection(X1,X0) != X2
      | X1 != X2 ),
    inference(resolution,[],[f662,f194]) ).

fof(f1496,plain,
    ! [X2,X0,X1] :
      ( reflection(X1,X0) = X0
      | reflection(X1,X0) != X2
      | ~ between(X1,X2,X0) ),
    inference(resolution,[],[f662,f846]) ).

fof(f1495,plain,
    ! [X0,X1] :
      ( reflection(X1,X0) = X0
      | reflection(X1,X0) != X1 ),
    inference(resolution,[],[f662,f36]) ).

fof(f1506,plain,
    ! [X2,X3,X0,X1] :
      ( X0 = X1
      | extension(X1,X0,X2,X3) != X1 ),
    inference(inner_rewriting,[],[f1494]) ).

fof(f1494,plain,
    ! [X2,X3,X0,X1] :
      ( extension(X1,X0,X2,X3) = X0
      | extension(X1,X0,X2,X3) != X1 ),
    inference(resolution,[],[f662,f4]) ).

fof(f662,plain,
    ! [X2,X0,X1] :
      ( ~ between(X2,X0,X1)
      | X0 = X1
      | X1 != X2 ),
    inference(resolution,[],[f54,f493]) ).

fof(f1481,plain,
    ! [X2,X3,X0,X1] :
      ( reflection(X3,X3) = X2
      | X1 != X2
      | insertion(X0,X1,X0,X2) != X3 ),
    inference(superposition,[],[f709,f126]) ).

fof(f1480,plain,
    ! [X2,X3,X0,X1,X4] :
      ( reflection(reflection(X3,X4),X4) = X2
      | X1 != X2
      | insertion(X0,X1,X0,X2) != X3 ),
    inference(superposition,[],[f709,f761]) ).

fof(f709,plain,
    ! [X2,X0,X1] :
      ( insertion(X0,X1,X0,X2) = X2
      | X1 != X2 ),
    inference(resolution,[],[f78,f486]) ).

fof(f1479,plain,
    ! [X2,X3,X0,X1] :
      ( X0 = X1
      | extension(X0,X1,X2,X3) != X0 ),
    inference(inner_rewriting,[],[f1475]) ).

fof(f1475,plain,
    ! [X2,X3,X0,X1] :
      ( extension(X0,X1,X2,X3) = X1
      | extension(X0,X1,X2,X3) != X0 ),
    inference(resolution,[],[f575,f118]) ).

fof(f1478,plain,
    ! [X2,X0,X1] :
      ( X0 = X2
      | reflection(X0,X1) != X0
      | ~ between(X1,X2,X0) ),
    inference(inner_rewriting,[],[f1474]) ).

fof(f1474,plain,
    ! [X2,X0,X1] :
      ( reflection(X0,X1) = X2
      | reflection(X0,X1) != X0
      | ~ between(X1,X2,X0) ),
    inference(resolution,[],[f575,f949]) ).

fof(f1477,plain,
    ! [X2,X0,X1] :
      ( X0 = X2
      | reflection(X0,X1) != X0
      | ~ between(X0,X2,X1) ),
    inference(inner_rewriting,[],[f1473]) ).

fof(f1473,plain,
    ! [X2,X0,X1] :
      ( reflection(X0,X1) = X2
      | reflection(X0,X1) != X0
      | ~ between(X0,X2,X1) ),
    inference(resolution,[],[f575,f1205]) ).

fof(f1472,plain,
    ! [X2,X0,X1] :
      ( reflection(X0,X1) = X1
      | reflection(X0,X1) != X2
      | X0 != X2 ),
    inference(resolution,[],[f575,f187]) ).

fof(f1471,plain,
    ! [X2,X0,X1] :
      ( reflection(X0,X1) = X1
      | reflection(X0,X1) != X2
      | ~ between(X0,X2,X1) ),
    inference(resolution,[],[f575,f879]) ).

fof(f1470,plain,
    ! [X0,X1] :
      ( reflection(X0,X1) = X1
      | reflection(X0,X1) != X0 ),
    inference(resolution,[],[f575,f103]) ).

fof(f1469,plain,
    ! [X2,X0,X1] :
      ( X0 = X1
      | reflection(X0,X2) != X0
      | ~ between(X2,X1,X0) ),
    inference(resolution,[],[f575,f961]) ).

fof(f1468,plain,
    ! [X2,X0,X1] :
      ( X0 = X1
      | reflection(X0,X2) != X0
      | ~ between(X0,X1,X2) ),
    inference(resolution,[],[f575,f1170]) ).

fof(f1467,plain,
    ! [X2,X0,X1] :
      ( X0 = X1
      | reflection(X2,X1) != X0
      | X0 != X2 ),
    inference(resolution,[],[f575,f194]) ).

fof(f1466,plain,
    ! [X2,X0,X1] :
      ( X0 = X1
      | reflection(X2,X1) != X0
      | ~ between(X2,X0,X1) ),
    inference(resolution,[],[f575,f846]) ).

fof(f575,plain,
    ! [X2,X0,X1] :
      ( ~ between(X0,X1,X2)
      | X0 = X1
      | X0 != X2 ),
    inference(resolution,[],[f53,f486]) ).

fof(f1459,plain,
    ! [X0,X1] : equidistant(lower_dimension_point_1,reflection(lower_dimension_point_2,lower_dimension_point_1),X0,extension(X1,X0,lower_dimension_point_1,lower_dimension_point_2)),
    inference(subsumption_resolution,[],[f1456,f63]) ).

fof(f1456,plain,
    ! [X0,X1] :
      ( equidistant(lower_dimension_point_1,reflection(lower_dimension_point_2,lower_dimension_point_1),X0,extension(X1,X0,lower_dimension_point_1,lower_dimension_point_2))
      | lower_dimension_point_1 = lower_dimension_point_2 ),
    inference(superposition,[],[f67,f1440]) ).

fof(f1458,plain,
    ! [X0,X1] : equidistant(X0,extension(X1,X0,lower_dimension_point_1,lower_dimension_point_2),lower_dimension_point_1,reflection(lower_dimension_point_2,lower_dimension_point_1)),
    inference(subsumption_resolution,[],[f1455,f63]) ).

fof(f1455,plain,
    ! [X0,X1] :
      ( equidistant(X0,extension(X1,X0,lower_dimension_point_1,lower_dimension_point_2),lower_dimension_point_1,reflection(lower_dimension_point_2,lower_dimension_point_1))
      | lower_dimension_point_1 = lower_dimension_point_2 ),
    inference(superposition,[],[f67,f1440]) ).

fof(f1443,plain,
    ! [X2,X0,X1] :
      ( reflection(X0,X1) = reflection(X2,X2)
      | X0 = X1
      | extension(X0,X1,X1,X0) != X2 ),
    inference(superposition,[],[f1440,f126]) ).

fof(f1442,plain,
    ! [X2,X3,X0,X1] :
      ( reflection(X0,X1) = reflection(reflection(X2,X3),X3)
      | X0 = X1
      | extension(X0,X1,X1,X0) != X2 ),
    inference(superposition,[],[f1440,f761]) ).

fof(f1440,plain,
    ! [X3,X10] :
      ( reflection(X10,X3) = extension(X10,X3,X3,X10)
      | X3 = X10 ),
    inference(forward_demodulation,[],[f46,f23]) ).

fof(f1439,plain,
    ! [X2,X3,X0,X1] :
      ( extension(X1,X0,X2,X3) = X0
      | extension(extension(X1,X0,X2,X3),X0,X0,X1) = X1 ),
    inference(resolution,[],[f44,f118]) ).

fof(f1438,plain,
    ! [X2,X0,X1] :
      ( reflection(X1,X2) = X0
      | extension(reflection(X1,X2),X0,X0,X1) = X1
      | ~ between(X2,X0,X1) ),
    inference(resolution,[],[f44,f949]) ).

fof(f1437,plain,
    ! [X2,X0,X1] :
      ( reflection(X1,X2) = X0
      | extension(reflection(X1,X2),X0,X0,X1) = X1
      | ~ between(X1,X0,X2) ),
    inference(resolution,[],[f44,f1205]) ).

fof(f1436,plain,
    ! [X2,X0,X1] :
      ( reflection(X1,X0) = X0
      | extension(reflection(X1,X0),X0,X0,X2) = X2
      | X1 != X2 ),
    inference(resolution,[],[f44,f187]) ).

fof(f1435,plain,
    ! [X2,X0,X1] :
      ( reflection(X1,X0) = X0
      | extension(reflection(X1,X0),X0,X0,X2) = X2
      | ~ between(X1,X2,X0) ),
    inference(resolution,[],[f44,f879]) ).

fof(f1434,plain,
    ! [X0,X1] :
      ( reflection(X1,X0) = X0
      | extension(reflection(X1,X0),X0,X0,X1) = X1 ),
    inference(resolution,[],[f44,f103]) ).

fof(f1433,plain,
    ! [X2,X0,X1] :
      ( X0 = X1
      | reflection(X1,X2) = extension(X1,X0,X0,reflection(X1,X2))
      | ~ between(X2,X0,X1) ),
    inference(resolution,[],[f44,f961]) ).

fof(f1432,plain,
    ! [X2,X0,X1] :
      ( X0 = X1
      | reflection(X1,X2) = extension(X1,X0,X0,reflection(X1,X2))
      | ~ between(X1,X0,X2) ),
    inference(resolution,[],[f44,f1170]) ).

fof(f1431,plain,
    ! [X2,X0,X1] :
      ( X0 = X1
      | reflection(X2,X0) = extension(X1,X0,X0,reflection(X2,X0))
      | X1 != X2 ),
    inference(resolution,[],[f44,f194]) ).

fof(f1430,plain,
    ! [X2,X0,X1] :
      ( X0 = X1
      | reflection(X2,X0) = extension(X1,X0,X0,reflection(X2,X0))
      | ~ between(X2,X1,X0) ),
    inference(resolution,[],[f44,f846]) ).

fof(f1429,plain,
    ! [X0,X1] :
      ( X0 = X1
      | reflection(X1,X0) = extension(X1,X0,X0,reflection(X1,X0)) ),
    inference(resolution,[],[f44,f36]) ).

fof(f1428,plain,
    ! [X2,X3,X0,X1] :
      ( X0 = X1
      | extension(X1,X0,X2,X3) = extension(X1,X0,X0,extension(X1,X0,X2,X3)) ),
    inference(resolution,[],[f44,f4]) ).

fof(f1427,plain,
    ! [X2,X0,X1] :
      ( X0 = X1
      | extension(X1,X0,X0,X2) = X2
      | X0 != X2 ),
    inference(resolution,[],[f44,f486]) ).

fof(f44,axiom,
    ! [X3,X10,X5] :
      ( ~ between(X10,X3,X5)
      | X3 = X10
      | extension(X10,X3,X3,X5) = X5 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d10_1) ).

fof(f1423,plain,
    ! [X2,X3,X0,X1,X4] :
      ( equidistant(X3,extension(X4,X3,lower_dimension_point_1,lower_dimension_point_2),X1,X2)
      | extension(X0,X1,lower_dimension_point_1,lower_dimension_point_2) != X2 ),
    inference(forward_demodulation,[],[f1419,f39]) ).

fof(f1419,plain,
    ! [X2,X3,X0,X1,X4] :
      ( equidistant(X3,extension(X4,X3,lower_dimension_point_1,lower_dimension_point_2),X1,reflection(X2,X2))
      | extension(X0,X1,lower_dimension_point_1,lower_dimension_point_2) != X2 ),
    inference(superposition,[],[f67,f126]) ).

fof(f1422,plain,
    ! [X2,X0,X1,X4,X5] :
      ( equidistant(X4,extension(X5,X4,lower_dimension_point_1,lower_dimension_point_2),X1,X2)
      | extension(X0,X1,lower_dimension_point_1,lower_dimension_point_2) != X2 ),
    inference(forward_demodulation,[],[f1418,f48]) ).

fof(f1418,plain,
    ! [X2,X3,X0,X1,X4,X5] :
      ( equidistant(X4,extension(X5,X4,lower_dimension_point_1,lower_dimension_point_2),X1,reflection(reflection(X2,X3),X3))
      | extension(X0,X1,lower_dimension_point_1,lower_dimension_point_2) != X2 ),
    inference(superposition,[],[f67,f761]) ).

fof(f1417,plain,
    ! [X0,X1] : equidistant(X0,extension(X1,X0,lower_dimension_point_1,lower_dimension_point_2),lower_dimension_point_2,reflection(lower_dimension_point_1,lower_dimension_point_2)),
    inference(superposition,[],[f67,f23]) ).

fof(f1421,plain,
    ! [X2,X3,X0,X1,X4] :
      ( equidistant(X1,X2,X3,extension(X4,X3,lower_dimension_point_1,lower_dimension_point_2))
      | extension(X0,X1,lower_dimension_point_1,lower_dimension_point_2) != X2 ),
    inference(forward_demodulation,[],[f1416,f39]) ).

fof(f1416,plain,
    ! [X2,X3,X0,X1,X4] :
      ( equidistant(X1,reflection(X2,X2),X3,extension(X4,X3,lower_dimension_point_1,lower_dimension_point_2))
      | extension(X0,X1,lower_dimension_point_1,lower_dimension_point_2) != X2 ),
    inference(superposition,[],[f67,f126]) ).

fof(f1420,plain,
    ! [X2,X0,X1,X4,X5] :
      ( equidistant(X1,X2,X4,extension(X5,X4,lower_dimension_point_1,lower_dimension_point_2))
      | extension(X0,X1,lower_dimension_point_1,lower_dimension_point_2) != X2 ),
    inference(forward_demodulation,[],[f1415,f48]) ).

fof(f1415,plain,
    ! [X2,X3,X0,X1,X4,X5] :
      ( equidistant(X1,reflection(reflection(X2,X3),X3),X4,extension(X5,X4,lower_dimension_point_1,lower_dimension_point_2))
      | extension(X0,X1,lower_dimension_point_1,lower_dimension_point_2) != X2 ),
    inference(superposition,[],[f67,f761]) ).

fof(f1413,plain,
    ! [X2,X0,X1] :
      ( ~ between(X0,extension(X1,X0,lower_dimension_point_1,lower_dimension_point_2),extension(X2,X0,lower_dimension_point_1,lower_dimension_point_2))
      | extension(X1,X0,lower_dimension_point_1,lower_dimension_point_2) = extension(X2,X0,lower_dimension_point_1,lower_dimension_point_2) ),
    inference(resolution,[],[f67,f87]) ).

fof(f1412,plain,
    ! [X2,X3,X0,X1] : equidistant(extension(X0,X1,lower_dimension_point_1,lower_dimension_point_2),X1,extension(X2,X3,lower_dimension_point_1,lower_dimension_point_2),X3),
    inference(resolution,[],[f67,f32]) ).

fof(f1411,plain,
    ! [X2,X3,X0,X1] : equidistant(extension(X0,X1,lower_dimension_point_1,lower_dimension_point_2),X1,X2,extension(X3,X2,lower_dimension_point_1,lower_dimension_point_2)),
    inference(resolution,[],[f67,f31]) ).

fof(f1410,plain,
    ! [X2,X3,X0,X1] : equidistant(X0,extension(X1,X0,lower_dimension_point_1,lower_dimension_point_2),extension(X2,X3,lower_dimension_point_1,lower_dimension_point_2),X3),
    inference(resolution,[],[f67,f30]) ).

fof(f1409,plain,
    ! [X2,X3,X0,X1] : equidistant(extension(X0,X1,lower_dimension_point_1,lower_dimension_point_2),X1,extension(X2,X3,lower_dimension_point_1,lower_dimension_point_2),X3),
    inference(resolution,[],[f67,f29]) ).

fof(f1408,plain,
    ! [X2,X3,X0,X1] : equidistant(X0,extension(X1,X0,lower_dimension_point_1,lower_dimension_point_2),extension(X2,X3,lower_dimension_point_1,lower_dimension_point_2),X3),
    inference(resolution,[],[f67,f28]) ).

fof(f1407,plain,
    ! [X2,X3,X0,X1] : equidistant(extension(X0,X1,lower_dimension_point_1,lower_dimension_point_2),X1,X2,extension(X3,X2,lower_dimension_point_1,lower_dimension_point_2)),
    inference(resolution,[],[f67,f27]) ).

fof(f67,axiom,
    ! [X3,X10,X0,X5] : equidistant(X3,extension(X10,X3,lower_dimension_point_1,lower_dimension_point_2),X0,extension(X5,X0,lower_dimension_point_1,lower_dimension_point_2)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',e3_2) ).

fof(f1405,plain,
    ! [X2,X3,X0,X1] :
      ( equidistant(X1,X2,X1,X3)
      | X0 != X3
      | reflection(X0,X1) != X2 ),
    inference(forward_demodulation,[],[f1403,f39]) ).

fof(f1403,plain,
    ! [X2,X3,X0,X1] :
      ( equidistant(X1,reflection(X2,X2),X1,X3)
      | X0 != X3
      | reflection(X0,X1) != X2 ),
    inference(superposition,[],[f775,f126]) ).

fof(f1404,plain,
    ! [X2,X0,X1,X4] :
      ( equidistant(X1,X2,X1,X4)
      | X0 != X4
      | reflection(X0,X1) != X2 ),
    inference(forward_demodulation,[],[f1402,f48]) ).

fof(f1402,plain,
    ! [X2,X3,X0,X1,X4] :
      ( equidistant(X1,reflection(reflection(X2,X3),X3),X1,X4)
      | X0 != X4
      | reflection(X0,X1) != X2 ),
    inference(superposition,[],[f775,f761]) ).

fof(f1400,plain,
    ! [X2,X3,X0,X1] :
      ( equidistant(X1,X2,X1,X3)
      | reflection(X0,X1) != X3
      | X0 != X2 ),
    inference(superposition,[],[f775,f761]) ).

fof(f1399,plain,
    ! [X2,X0,X1] :
      ( equidistant(X1,X1,X1,X2)
      | X0 != X2
      | X0 != X1 ),
    inference(superposition,[],[f775,f114]) ).

fof(f1398,plain,
    ! [X2,X3,X0,X1] :
      ( equidistant(X1,reflection(X2,X1),X1,X3)
      | X0 != X3
      | X0 != X2 ),
    inference(superposition,[],[f775,f610]) ).

fof(f1397,plain,
    ! [X2,X3,X0,X1] :
      ( equidistant(X1,reflection(X2,X1),X1,X3)
      | X0 != X3
      | X0 != X2 ),
    inference(superposition,[],[f775,f610]) ).

fof(f1395,plain,
    ! [X2,X0,X1] :
      ( equidistant(X0,X1,X0,X2)
      | X0 != X2
      | X0 != X1 ),
    inference(superposition,[],[f775,f126]) ).

fof(f1394,plain,
    ! [X2,X0,X1] :
      ( X0 != X1
      | ~ between(X2,reflection(X1,X2),X0)
      | reflection(X1,X2) = X0 ),
    inference(resolution,[],[f775,f87]) ).

fof(f775,plain,
    ! [X2,X0,X1] :
      ( equidistant(X1,reflection(X2,X1),X1,X0)
      | X0 != X2 ),
    inference(superposition,[],[f246,f610]) ).

fof(f1384,plain,
    ! [X2,X0,X1] :
      ( ~ between(X0,insertion(X0,X1,X2,X0),X2)
      | insertion(X0,X1,X2,X0) = X2 ),
    inference(resolution,[],[f87,f288]) ).

fof(f1383,plain,
    ! [X2,X0,X1] :
      ( ~ between(X0,insertion(X0,X1,X0,X2),X2)
      | insertion(X0,X1,X0,X2) = X2 ),
    inference(resolution,[],[f87,f203]) ).

fof(f1381,plain,
    ! [X0,X1] :
      ( ~ between(X0,reflection(X1,X0),X1)
      | reflection(X1,X0) = X1 ),
    inference(resolution,[],[f87,f246]) ).

fof(f1379,plain,
    ! [X2,X0,X1] :
      ( ~ between(X0,extension(X1,X0,X2,X0),X2)
      | extension(X1,X0,X2,X0) = X2 ),
    inference(resolution,[],[f87,f313]) ).

fof(f1378,plain,
    ! [X2,X0,X1] :
      ( ~ between(X0,extension(X1,X0,X0,X2),X2)
      | extension(X1,X0,X0,X2) = X2 ),
    inference(resolution,[],[f87,f5]) ).

fof(f1376,plain,
    ! [X2,X0,X1] :
      ( ~ between(X0,X1,insertion(X0,X2,X1,X0))
      | insertion(X0,X2,X1,X0) = X1 ),
    inference(resolution,[],[f87,f241]) ).

fof(f1375,plain,
    ! [X2,X0,X1] :
      ( ~ between(X0,X1,insertion(X0,X2,X0,X1))
      | insertion(X0,X2,X0,X1) = X1 ),
    inference(resolution,[],[f87,f75]) ).

fof(f1374,plain,
    ! [X2,X0,X1] :
      ( ~ between(X0,X1,extension(X2,X0,X1,X0))
      | extension(X2,X0,X1,X0) = X1 ),
    inference(resolution,[],[f87,f281]) ).

fof(f1373,plain,
    ! [X2,X0,X1] :
      ( ~ between(X0,X1,extension(X2,X0,X0,X1))
      | extension(X2,X0,X0,X1) = X1 ),
    inference(resolution,[],[f87,f205]) ).

fof(f1362,plain,
    ! [X2,X0,X1] :
      ( ~ between(X0,X1,reflection(X2,X0))
      | reflection(X2,X0) = X1
      | X1 != X2 ),
    inference(resolution,[],[f87,f772]) ).

fof(f1361,plain,
    ! [X0,X1] :
      ( ~ between(X0,X1,reflection(X1,X0))
      | reflection(X1,X0) = X1 ),
    inference(resolution,[],[f87,f239]) ).

fof(f1360,plain,
    ! [X2,X0,X1] :
      ( ~ between(X0,X1,X2)
      | X1 = X2
      | reflection(X1,X0) != X2 ),
    inference(resolution,[],[f87,f263]) ).

fof(f1359,plain,
    ! [X2,X0,X1] :
      ( ~ between(X0,X1,X2)
      | X1 = X2
      | reflection(X2,X0) != X1 ),
    inference(resolution,[],[f87,f280]) ).

fof(f87,axiom,
    ! [X3,X10,X5] :
      ( ~ equidistant(X10,X3,X10,X5)
      | ~ between(X10,X3,X5)
      | X3 = X5 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',b15) ).

fof(f1353,plain,
    ! [X2,X3,X0,X1] :
      ( equidistant(X2,X1,X3,X1)
      | X0 != X3
      | reflection(X0,X1) != X2 ),
    inference(forward_demodulation,[],[f1351,f39]) ).

fof(f1351,plain,
    ! [X2,X3,X0,X1] :
      ( equidistant(reflection(X2,X2),X1,X3,X1)
      | X0 != X3
      | reflection(X0,X1) != X2 ),
    inference(superposition,[],[f774,f126]) ).

fof(f1352,plain,
    ! [X2,X0,X1,X4] :
      ( equidistant(X2,X1,X4,X1)
      | X0 != X4
      | reflection(X0,X1) != X2 ),
    inference(forward_demodulation,[],[f1350,f48]) ).

fof(f1350,plain,
    ! [X2,X3,X0,X1,X4] :
      ( equidistant(reflection(reflection(X2,X3),X3),X1,X4,X1)
      | X0 != X4
      | reflection(X0,X1) != X2 ),
    inference(superposition,[],[f774,f761]) ).

fof(f1348,plain,
    ! [X2,X3,X0,X1] :
      ( equidistant(X2,X1,X3,X1)
      | reflection(X0,X1) != X3
      | X0 != X2 ),
    inference(superposition,[],[f774,f761]) ).

fof(f1347,plain,
    ! [X2,X0,X1] :
      ( equidistant(X1,X1,X2,X1)
      | X0 != X2
      | X0 != X1 ),
    inference(superposition,[],[f774,f114]) ).

fof(f1346,plain,
    ! [X2,X3,X0,X1] :
      ( equidistant(reflection(X2,X1),X1,X3,X1)
      | X0 != X3
      | X0 != X2 ),
    inference(superposition,[],[f774,f610]) ).

fof(f1345,plain,
    ! [X2,X3,X0,X1] :
      ( equidistant(reflection(X2,X1),X1,X3,X1)
      | X0 != X3
      | X0 != X2 ),
    inference(superposition,[],[f774,f610]) ).

fof(f1343,plain,
    ! [X2,X0,X1] :
      ( equidistant(X1,X0,X2,X0)
      | X0 != X2
      | X0 != X1 ),
    inference(superposition,[],[f774,f126]) ).

fof(f1339,plain,
    ! [X2,X0,X1] :
      ( X0 != X1
      | equidistant(X2,reflection(X1,X2),X2,X0) ),
    inference(resolution,[],[f774,f29]) ).

fof(f774,plain,
    ! [X2,X0,X1] :
      ( equidistant(reflection(X2,X1),X1,X0,X1)
      | X0 != X2 ),
    inference(superposition,[],[f244,f610]) ).

fof(f1334,plain,
    ! [X2,X3,X0,X1] :
      ( equidistant(X3,X1,X2,X1)
      | X0 != X3
      | reflection(X0,X1) != X2 ),
    inference(forward_demodulation,[],[f1332,f39]) ).

fof(f1332,plain,
    ! [X2,X3,X0,X1] :
      ( equidistant(X3,X1,reflection(X2,X2),X1)
      | X0 != X3
      | reflection(X0,X1) != X2 ),
    inference(superposition,[],[f773,f126]) ).

fof(f1333,plain,
    ! [X2,X0,X1,X4] :
      ( equidistant(X4,X1,X2,X1)
      | X0 != X4
      | reflection(X0,X1) != X2 ),
    inference(forward_demodulation,[],[f1331,f48]) ).

fof(f1331,plain,
    ! [X2,X3,X0,X1,X4] :
      ( equidistant(X4,X1,reflection(reflection(X2,X3),X3),X1)
      | X0 != X4
      | reflection(X0,X1) != X2 ),
    inference(superposition,[],[f773,f761]) ).

fof(f1329,plain,
    ! [X2,X3,X0,X1] :
      ( equidistant(X3,X1,X2,X1)
      | reflection(X0,X1) != X3
      | X0 != X2 ),
    inference(superposition,[],[f773,f761]) ).

fof(f1328,plain,
    ! [X2,X0,X1] :
      ( equidistant(X2,X1,X1,X1)
      | X0 != X2
      | X0 != X1 ),
    inference(superposition,[],[f773,f114]) ).

fof(f1327,plain,
    ! [X2,X3,X0,X1] :
      ( equidistant(X3,X1,reflection(X2,X1),X1)
      | X0 != X3
      | X0 != X2 ),
    inference(superposition,[],[f773,f610]) ).

fof(f1326,plain,
    ! [X2,X3,X0,X1] :
      ( equidistant(X3,X1,reflection(X2,X1),X1)
      | X0 != X3
      | X0 != X2 ),
    inference(superposition,[],[f773,f610]) ).

fof(f1324,plain,
    ! [X2,X0,X1] :
      ( equidistant(X2,X0,X1,X0)
      | X0 != X2
      | X0 != X1 ),
    inference(superposition,[],[f773,f126]) ).

fof(f1323,plain,
    ! [X2,X0,X1] :
      ( X0 != X1
      | equidistant(X2,reflection(X1,X2),X2,X0) ),
    inference(resolution,[],[f773,f32]) ).

fof(f1317,plain,
    ! [X2,X0,X1] :
      ( X0 != X1
      | equidistant(reflection(X1,X2),X2,X0,X2) ),
    inference(resolution,[],[f773,f26]) ).

fof(f773,plain,
    ! [X2,X0,X1] :
      ( equidistant(X0,X1,reflection(X2,X1),X1)
      | X0 != X2 ),
    inference(superposition,[],[f242,f610]) ).

fof(f1316,plain,
    ! [X2,X3,X0,X1] :
      ( equidistant(X1,X3,X1,X2)
      | X0 != X3
      | reflection(X0,X1) != X2 ),
    inference(forward_demodulation,[],[f1314,f39]) ).

fof(f1314,plain,
    ! [X2,X3,X0,X1] :
      ( equidistant(X1,X3,X1,reflection(X2,X2))
      | X0 != X3
      | reflection(X0,X1) != X2 ),
    inference(superposition,[],[f772,f126]) ).

fof(f1315,plain,
    ! [X2,X0,X1,X4] :
      ( equidistant(X1,X4,X1,X2)
      | X0 != X4
      | reflection(X0,X1) != X2 ),
    inference(forward_demodulation,[],[f1313,f48]) ).

fof(f1313,plain,
    ! [X2,X3,X0,X1,X4] :
      ( equidistant(X1,X4,X1,reflection(reflection(X2,X3),X3))
      | X0 != X4
      | reflection(X0,X1) != X2 ),
    inference(superposition,[],[f772,f761]) ).

fof(f1311,plain,
    ! [X2,X3,X0,X1] :
      ( equidistant(X1,X3,X1,X2)
      | reflection(X0,X1) != X3
      | X0 != X2 ),
    inference(superposition,[],[f772,f761]) ).

fof(f1310,plain,
    ! [X2,X0,X1] :
      ( equidistant(X1,X2,X1,X1)
      | X0 != X2
      | X0 != X1 ),
    inference(superposition,[],[f772,f114]) ).

fof(f1309,plain,
    ! [X2,X3,X0,X1] :
      ( equidistant(X1,X3,X1,reflection(X2,X1))
      | X0 != X3
      | X0 != X2 ),
    inference(superposition,[],[f772,f610]) ).

fof(f1308,plain,
    ! [X2,X3,X0,X1] :
      ( equidistant(X1,X3,X1,reflection(X2,X1))
      | X0 != X3
      | X0 != X2 ),
    inference(superposition,[],[f772,f610]) ).

fof(f1306,plain,
    ! [X2,X0,X1] :
      ( equidistant(X0,X2,X0,X1)
      | X0 != X2
      | X0 != X1 ),
    inference(superposition,[],[f772,f126]) ).

fof(f1305,plain,
    ! [X2,X0,X1] :
      ( X0 != X1
      | equidistant(reflection(X1,X2),X2,X0,X2) ),
    inference(resolution,[],[f772,f32]) ).

fof(f1302,plain,
    ! [X2,X0,X1] :
      ( X0 != X1
      | equidistant(X0,X2,reflection(X1,X2),X2) ),
    inference(resolution,[],[f772,f29]) ).

fof(f1299,plain,
    ! [X2,X0,X1] :
      ( X0 != X1
      | equidistant(X2,reflection(X1,X2),X2,X0) ),
    inference(resolution,[],[f772,f26]) ).

fof(f772,plain,
    ! [X2,X0,X1] :
      ( equidistant(X1,X0,X1,reflection(X2,X1))
      | X0 != X2 ),
    inference(superposition,[],[f239,f610]) ).

fof(f1298,plain,
    ! [X2,X3,X0,X1] :
      ( equidistant(X3,X1,X1,X2)
      | X0 != X3
      | reflection(X0,X1) != X2 ),
    inference(forward_demodulation,[],[f1296,f39]) ).

fof(f1296,plain,
    ! [X2,X3,X0,X1] :
      ( equidistant(X3,X1,X1,reflection(X2,X2))
      | X0 != X3
      | reflection(X0,X1) != X2 ),
    inference(superposition,[],[f771,f126]) ).

fof(f1297,plain,
    ! [X2,X0,X1,X4] :
      ( equidistant(X4,X1,X1,X2)
      | X0 != X4
      | reflection(X0,X1) != X2 ),
    inference(forward_demodulation,[],[f1295,f48]) ).

fof(f1295,plain,
    ! [X2,X3,X0,X1,X4] :
      ( equidistant(X4,X1,X1,reflection(reflection(X2,X3),X3))
      | X0 != X4
      | reflection(X0,X1) != X2 ),
    inference(superposition,[],[f771,f761]) ).

fof(f1293,plain,
    ! [X2,X3,X0,X1] :
      ( equidistant(X3,X1,X1,X2)
      | reflection(X0,X1) != X3
      | X0 != X2 ),
    inference(superposition,[],[f771,f761]) ).

fof(f1292,plain,
    ! [X2,X0,X1] :
      ( equidistant(X2,X1,X1,X1)
      | X0 != X2
      | X0 != X1 ),
    inference(superposition,[],[f771,f114]) ).

fof(f1291,plain,
    ! [X2,X3,X0,X1] :
      ( equidistant(X3,X1,X1,reflection(X2,X1))
      | X0 != X3
      | X0 != X2 ),
    inference(superposition,[],[f771,f610]) ).

fof(f1290,plain,
    ! [X2,X3,X0,X1] :
      ( equidistant(X3,X1,X1,reflection(X2,X1))
      | X0 != X3
      | X0 != X2 ),
    inference(superposition,[],[f771,f610]) ).

fof(f1288,plain,
    ! [X2,X0,X1] :
      ( equidistant(X2,X0,X0,X1)
      | X0 != X2
      | X0 != X1 ),
    inference(superposition,[],[f771,f126]) ).

fof(f1286,plain,
    ! [X2,X0,X1] :
      ( X0 != X1
      | equidistant(reflection(X1,X2),X2,X0,X2) ),
    inference(resolution,[],[f771,f31]) ).

fof(f1285,plain,
    ! [X2,X0,X1] :
      ( X0 != X1
      | equidistant(X2,reflection(X1,X2),X2,X0) ),
    inference(resolution,[],[f771,f30]) ).

fof(f1283,plain,
    ! [X2,X0,X1] :
      ( X0 != X1
      | equidistant(X0,X2,reflection(X1,X2),X2) ),
    inference(resolution,[],[f771,f28]) ).

fof(f1282,plain,
    ! [X2,X0,X1] :
      ( X0 != X1
      | equidistant(X2,X0,X2,reflection(X1,X2)) ),
    inference(resolution,[],[f771,f27]) ).

fof(f771,plain,
    ! [X2,X0,X1] :
      ( equidistant(X0,X1,X1,reflection(X2,X1))
      | X0 != X2 ),
    inference(superposition,[],[f206,f610]) ).

fof(f1280,plain,
    ! [X2,X3,X0,X1] :
      ( equidistant(X2,X1,X1,X3)
      | X0 != X3
      | reflection(X0,X1) != X2 ),
    inference(forward_demodulation,[],[f1278,f39]) ).

fof(f1278,plain,
    ! [X2,X3,X0,X1] :
      ( equidistant(reflection(X2,X2),X1,X1,X3)
      | X0 != X3
      | reflection(X0,X1) != X2 ),
    inference(superposition,[],[f770,f126]) ).

fof(f1279,plain,
    ! [X2,X0,X1,X4] :
      ( equidistant(X2,X1,X1,X4)
      | X0 != X4
      | reflection(X0,X1) != X2 ),
    inference(forward_demodulation,[],[f1277,f48]) ).

fof(f1277,plain,
    ! [X2,X3,X0,X1,X4] :
      ( equidistant(reflection(reflection(X2,X3),X3),X1,X1,X4)
      | X0 != X4
      | reflection(X0,X1) != X2 ),
    inference(superposition,[],[f770,f761]) ).

fof(f1275,plain,
    ! [X2,X3,X0,X1] :
      ( equidistant(X2,X1,X1,X3)
      | reflection(X0,X1) != X3
      | X0 != X2 ),
    inference(superposition,[],[f770,f761]) ).

fof(f1274,plain,
    ! [X2,X0,X1] :
      ( equidistant(X1,X1,X1,X2)
      | X0 != X2
      | X0 != X1 ),
    inference(superposition,[],[f770,f114]) ).

fof(f1273,plain,
    ! [X2,X3,X0,X1] :
      ( equidistant(reflection(X2,X1),X1,X1,X3)
      | X0 != X3
      | X0 != X2 ),
    inference(superposition,[],[f770,f610]) ).

fof(f1272,plain,
    ! [X2,X3,X0,X1] :
      ( equidistant(reflection(X2,X1),X1,X1,X3)
      | X0 != X3
      | X0 != X2 ),
    inference(superposition,[],[f770,f610]) ).

fof(f1270,plain,
    ! [X2,X0,X1] :
      ( equidistant(X1,X0,X0,X2)
      | X0 != X2
      | X0 != X1 ),
    inference(superposition,[],[f770,f126]) ).

fof(f1269,plain,
    ! [X2,X0,X1] :
      ( X0 != X1
      | equidistant(X0,X2,X2,reflection(X1,X2)) ),
    inference(resolution,[],[f770,f32]) ).

fof(f1268,plain,
    ! [X2,X0,X1] :
      ( X0 != X1
      | equidistant(X0,X2,reflection(X1,X2),X2) ),
    inference(resolution,[],[f770,f31]) ).

fof(f1267,plain,
    ! [X2,X0,X1] :
      ( X0 != X1
      | equidistant(X2,X0,X2,reflection(X1,X2)) ),
    inference(resolution,[],[f770,f30]) ).

fof(f1265,plain,
    ! [X2,X0,X1] :
      ( X0 != X1
      | equidistant(reflection(X1,X2),X2,X0,X2) ),
    inference(resolution,[],[f770,f28]) ).

fof(f1264,plain,
    ! [X2,X0,X1] :
      ( X0 != X1
      | equidistant(X2,reflection(X1,X2),X2,X0) ),
    inference(resolution,[],[f770,f27]) ).

fof(f770,plain,
    ! [X2,X0,X1] :
      ( equidistant(reflection(X2,X1),X1,X1,X0)
      | X0 != X2 ),
    inference(superposition,[],[f204,f610]) ).

fof(f1261,plain,
    ! [X2,X3,X0,X1] :
      ( equidistant(X1,X3,X2,X1)
      | X0 != X3
      | reflection(X0,X1) != X2 ),
    inference(forward_demodulation,[],[f1259,f39]) ).

fof(f1259,plain,
    ! [X2,X3,X0,X1] :
      ( equidistant(X1,X3,reflection(X2,X2),X1)
      | X0 != X3
      | reflection(X0,X1) != X2 ),
    inference(superposition,[],[f762,f126]) ).

fof(f1260,plain,
    ! [X2,X0,X1,X4] :
      ( equidistant(X1,X4,X2,X1)
      | X0 != X4
      | reflection(X0,X1) != X2 ),
    inference(forward_demodulation,[],[f1258,f48]) ).

fof(f1258,plain,
    ! [X2,X3,X0,X1,X4] :
      ( equidistant(X1,X4,reflection(reflection(X2,X3),X3),X1)
      | X0 != X4
      | reflection(X0,X1) != X2 ),
    inference(superposition,[],[f762,f761]) ).

fof(f1256,plain,
    ! [X2,X3,X0,X1] :
      ( equidistant(X1,X3,X2,X1)
      | reflection(X0,X1) != X3
      | X0 != X2 ),
    inference(superposition,[],[f762,f761]) ).

fof(f1255,plain,
    ! [X2,X0,X1] :
      ( equidistant(X1,X2,X1,X1)
      | X0 != X2
      | X0 != X1 ),
    inference(superposition,[],[f762,f114]) ).

fof(f1254,plain,
    ! [X2,X3,X0,X1] :
      ( equidistant(X1,X3,reflection(X2,X1),X1)
      | X0 != X3
      | X0 != X2 ),
    inference(superposition,[],[f762,f610]) ).

fof(f1253,plain,
    ! [X2,X3,X0,X1] :
      ( equidistant(X1,X3,reflection(X2,X1),X1)
      | X0 != X3
      | X0 != X2 ),
    inference(superposition,[],[f762,f610]) ).

fof(f1251,plain,
    ! [X2,X0,X1] :
      ( equidistant(X0,X2,X1,X0)
      | X0 != X2
      | X0 != X1 ),
    inference(superposition,[],[f762,f126]) ).

fof(f1249,plain,
    ! [X2,X0,X1] :
      ( X0 != X1
      | equidistant(X2,reflection(X1,X2),X2,X0) ),
    inference(resolution,[],[f762,f31]) ).

fof(f1248,plain,
    ! [X2,X0,X1] :
      ( X0 != X1
      | equidistant(reflection(X1,X2),X2,X0,X2) ),
    inference(resolution,[],[f762,f30]) ).

fof(f1247,plain,
    ! [X2,X0,X1] :
      ( X0 != X1
      | equidistant(X0,X2,X2,reflection(X1,X2)) ),
    inference(resolution,[],[f762,f29]) ).

fof(f1246,plain,
    ! [X2,X0,X1] :
      ( X0 != X1
      | equidistant(X2,X0,X2,reflection(X1,X2)) ),
    inference(resolution,[],[f762,f28]) ).

fof(f1245,plain,
    ! [X2,X0,X1] :
      ( X0 != X1
      | equidistant(X0,X2,reflection(X1,X2),X2) ),
    inference(resolution,[],[f762,f27]) ).

fof(f1244,plain,
    ! [X2,X0,X1] :
      ( X0 != X1
      | equidistant(reflection(X1,X2),X2,X2,X0) ),
    inference(resolution,[],[f762,f26]) ).

fof(f762,plain,
    ! [X2,X0,X1] :
      ( equidistant(X1,X0,reflection(X2,X1),X1)
      | X0 != X2 ),
    inference(superposition,[],[f102,f610]) ).

fof(f1243,plain,
    ! [X2,X3,X0,X1] :
      ( between(X2,X3,X0)
      | ~ between(X0,X3,X1)
      | reflection(X0,X1) != X2 ),
    inference(forward_demodulation,[],[f1241,f39]) ).

fof(f1241,plain,
    ! [X2,X3,X0,X1] :
      ( between(reflection(X2,X2),X3,X0)
      | ~ between(X0,X3,X1)
      | reflection(X0,X1) != X2 ),
    inference(superposition,[],[f1205,f126]) ).

fof(f1242,plain,
    ! [X2,X0,X1,X4] :
      ( between(X2,X4,X0)
      | ~ between(X0,X4,X1)
      | reflection(X0,X1) != X2 ),
    inference(forward_demodulation,[],[f1240,f48]) ).

fof(f1240,plain,
    ! [X2,X3,X0,X1,X4] :
      ( between(reflection(reflection(X2,X3),X3),X4,X0)
      | ~ between(X0,X4,X1)
      | reflection(X0,X1) != X2 ),
    inference(superposition,[],[f1205,f761]) ).

fof(f1239,plain,
    ! [X2,X0,X1] :
      ( between(X0,X2,reflection(X0,X1))
      | ~ between(reflection(X0,X1),X2,X1) ),
    inference(superposition,[],[f1205,f48]) ).

fof(f1238,plain,
    ! [X2,X3,X0,X1] :
      ( between(X2,X3,reflection(X0,X1))
      | ~ between(reflection(X0,X1),X3,X1)
      | X0 != X2 ),
    inference(superposition,[],[f1205,f761]) ).

fof(f1236,plain,
    ! [X2,X3,X0,X1] :
      ( between(reflection(X2,X1),X3,X0)
      | ~ between(X0,X3,X1)
      | X0 != X2 ),
    inference(superposition,[],[f1205,f610]) ).

fof(f1235,plain,
    ! [X2,X3,X0,X1] :
      ( between(reflection(X2,X1),X3,X0)
      | ~ between(X0,X3,X1)
      | X0 != X2 ),
    inference(superposition,[],[f1205,f610]) ).

fof(f1232,plain,
    ! [X2,X0,X1] :
      ( ~ between(X0,X1,X2)
      | insertion(reflection(X0,X2),X0,reflection(X0,X2),X1) = X1 ),
    inference(resolution,[],[f1205,f78]) ).

fof(f1231,plain,
    ! [X2,X3,X0,X1] :
      ( ~ between(X0,X1,X2)
      | ~ between(reflection(X0,X2),X3,X1)
      | between(reflection(X0,X2),X3,X0) ),
    inference(resolution,[],[f1205,f62]) ).

fof(f1230,plain,
    ! [X2,X3,X0,X1] :
      ( ~ between(X0,X1,X2)
      | ~ between(X1,X3,X0)
      | between(reflection(X0,X2),X3,X0) ),
    inference(resolution,[],[f1205,f61]) ).

fof(f1229,plain,
    ! [X2,X3,X0,X1] :
      ( ~ between(X0,X1,X2)
      | ~ between(reflection(X0,X2),X3,X1)
      | between(X3,X1,X0) ),
    inference(resolution,[],[f1205,f58]) ).

fof(f1228,plain,
    ! [X2,X0,X1] :
      ( ~ between(X0,X1,X2)
      | X0 = X1
      | ~ between(reflection(X0,X2),X0,X1) ),
    inference(resolution,[],[f1205,f54]) ).

fof(f1227,plain,
    ! [X2,X0,X1] :
      ( ~ between(X0,X1,X2)
      | ~ between(X1,reflection(X0,X2),X0)
      | reflection(X0,X2) = X1 ),
    inference(resolution,[],[f1205,f53]) ).

fof(f1205,plain,
    ! [X2,X0,X1] :
      ( between(reflection(X0,X2),X1,X0)
      | ~ between(X0,X1,X2) ),
    inference(resolution,[],[f1170,f51]) ).

fof(f1222,plain,
    ! [X2,X3,X0,X1] :
      ( between(X0,X3,X2)
      | ~ between(X0,X3,X1)
      | reflection(X0,X1) != X2 ),
    inference(forward_demodulation,[],[f1220,f39]) ).

fof(f1220,plain,
    ! [X2,X3,X0,X1] :
      ( between(X0,X3,reflection(X2,X2))
      | ~ between(X0,X3,X1)
      | reflection(X0,X1) != X2 ),
    inference(superposition,[],[f1170,f126]) ).

fof(f1221,plain,
    ! [X2,X0,X1,X4] :
      ( between(X0,X4,X2)
      | ~ between(X0,X4,X1)
      | reflection(X0,X1) != X2 ),
    inference(forward_demodulation,[],[f1219,f48]) ).

fof(f1219,plain,
    ! [X2,X3,X0,X1,X4] :
      ( between(X0,X4,reflection(reflection(X2,X3),X3))
      | ~ between(X0,X4,X1)
      | reflection(X0,X1) != X2 ),
    inference(superposition,[],[f1170,f761]) ).

fof(f1218,plain,
    ! [X2,X0,X1] :
      ( between(reflection(X0,X1),X2,X0)
      | ~ between(reflection(X0,X1),X2,X1) ),
    inference(superposition,[],[f1170,f48]) ).

fof(f1217,plain,
    ! [X2,X3,X0,X1] :
      ( between(reflection(X0,X1),X3,X2)
      | ~ between(reflection(X0,X1),X3,X1)
      | X0 != X2 ),
    inference(superposition,[],[f1170,f761]) ).

fof(f1215,plain,
    ! [X2,X3,X0,X1] :
      ( between(X0,X3,reflection(X2,X1))
      | ~ between(X0,X3,X1)
      | X0 != X2 ),
    inference(superposition,[],[f1170,f610]) ).

fof(f1214,plain,
    ! [X2,X3,X0,X1] :
      ( between(X0,X3,reflection(X2,X1))
      | ~ between(X0,X3,X1)
      | X0 != X2 ),
    inference(superposition,[],[f1170,f610]) ).

fof(f1211,plain,
    ! [X2,X0,X1] :
      ( ~ between(X0,X1,X2)
      | insertion(X0,reflection(X0,X2),X0,X1) = X1 ),
    inference(resolution,[],[f1170,f78]) ).

fof(f1210,plain,
    ! [X2,X3,X0,X1] :
      ( ~ between(X0,X1,X2)
      | ~ between(X0,X3,X1)
      | between(X0,X3,reflection(X0,X2)) ),
    inference(resolution,[],[f1170,f62]) ).

fof(f1209,plain,
    ! [X2,X3,X0,X1] :
      ( ~ between(X0,X1,X2)
      | ~ between(X1,X3,reflection(X0,X2))
      | between(X0,X3,reflection(X0,X2)) ),
    inference(resolution,[],[f1170,f61]) ).

fof(f1208,plain,
    ! [X2,X3,X0,X1] :
      ( ~ between(X0,X1,X2)
      | ~ between(X0,X3,X1)
      | between(X3,X1,reflection(X0,X2)) ),
    inference(resolution,[],[f1170,f58]) ).

fof(f1207,plain,
    ! [X2,X0,X1] :
      ( ~ between(X0,X1,X2)
      | reflection(X0,X2) = X1
      | ~ between(X0,reflection(X0,X2),X1) ),
    inference(resolution,[],[f1170,f54]) ).

fof(f1206,plain,
    ! [X2,X0,X1] :
      ( ~ between(X0,X1,X2)
      | ~ between(X1,X0,reflection(X0,X2))
      | X0 = X1 ),
    inference(resolution,[],[f1170,f53]) ).

fof(f1170,plain,
    ! [X2,X0,X1] :
      ( between(X0,X1,reflection(X0,X2))
      | ~ between(X0,X1,X2) ),
    inference(resolution,[],[f62,f36]) ).

fof(f1203,plain,
    ! [X2,X3,X0,X1] :
      ( X0 != X2
      | between(X0,X1,X3)
      | reflection(X0,X1) != X2 ),
    inference(forward_demodulation,[],[f1197,f39]) ).

fof(f1197,plain,
    ! [X2,X3,X0,X1] :
      ( reflection(X2,X2) != X0
      | between(X0,X1,X3)
      | reflection(X0,X1) != X2 ),
    inference(superposition,[],[f1187,f126]) ).

fof(f1202,plain,
    ! [X2,X0,X1,X4] :
      ( X0 != X2
      | between(X0,X1,X4)
      | reflection(X0,X1) != X2 ),
    inference(forward_demodulation,[],[f1196,f48]) ).

fof(f1196,plain,
    ! [X2,X3,X0,X1,X4] :
      ( reflection(reflection(X2,X3),X3) != X0
      | between(X0,X1,X4)
      | reflection(X0,X1) != X2 ),
    inference(superposition,[],[f1187,f761]) ).

fof(f1195,plain,
    ! [X2,X0,X1] :
      ( reflection(X0,X1) != X0
      | between(reflection(X0,X1),X1,X2) ),
    inference(superposition,[],[f1187,f48]) ).

fof(f1194,plain,
    ! [X2,X3,X0,X1] :
      ( reflection(X0,X1) != X2
      | between(reflection(X0,X1),X1,X3)
      | X0 != X2 ),
    inference(superposition,[],[f1187,f761]) ).

fof(f1192,plain,
    ! [X2,X3,X0,X1] :
      ( reflection(X2,X1) != X0
      | between(X0,X1,X3)
      | X0 != X2 ),
    inference(superposition,[],[f1187,f610]) ).

fof(f1191,plain,
    ! [X2,X3,X0,X1] :
      ( reflection(X2,X1) != X0
      | between(X0,X1,X3)
      | X0 != X2 ),
    inference(superposition,[],[f1187,f610]) ).

fof(f1187,plain,
    ! [X2,X0,X1] :
      ( reflection(X0,X1) != X0
      | between(X0,X1,X2) ),
    inference(inner_rewriting,[],[f1184]) ).

fof(f1188,plain,
    ! [X2,X0,X1] :
      ( between(X0,X1,X2)
      | reflection(X0,X1) != X0 ),
    inference(inner_rewriting,[],[f1186]) ).

fof(f1186,plain,
    ! [X2,X0,X1] :
      ( between(reflection(X0,X1),X1,X2)
      | reflection(X0,X1) != X0 ),
    inference(resolution,[],[f1166,f187]) ).

fof(f1185,plain,
    ! [X2,X0,X1] :
      ( between(reflection(X0,X1),X1,X2)
      | ~ between(X0,reflection(X0,X1),X1) ),
    inference(resolution,[],[f1166,f879]) ).

fof(f1184,plain,
    ! [X2,X0,X1] :
      ( between(reflection(X0,X1),X1,X2)
      | reflection(X0,X1) != X0 ),
    inference(resolution,[],[f1166,f194]) ).

fof(f1183,plain,
    ! [X2,X0,X1] :
      ( between(reflection(X0,X1),X1,X2)
      | ~ between(X0,reflection(X0,X1),X1) ),
    inference(resolution,[],[f1166,f846]) ).

fof(f1166,plain,
    ! [X2,X0,X1] :
      ( ~ between(X0,X1,X0)
      | between(X0,X1,X2) ),
    inference(resolution,[],[f62,f52]) ).

fof(f1178,plain,
    ! [X2,X3,X0,X1,X4] :
      ( ~ between(extension(X0,X1,X2,X3),X4,X1)
      | between(extension(X0,X1,X2,X3),X4,X0) ),
    inference(resolution,[],[f62,f118]) ).

fof(f1177,plain,
    ! [X2,X3,X0,X1] :
      ( ~ between(reflection(X0,X1),X2,X3)
      | between(reflection(X0,X1),X2,X0)
      | ~ between(X1,X3,X0) ),
    inference(resolution,[],[f62,f949]) ).

fof(f1176,plain,
    ! [X2,X3,X0,X1] :
      ( ~ between(reflection(X0,X1),X2,X1)
      | between(reflection(X0,X1),X2,X3)
      | X0 != X3 ),
    inference(resolution,[],[f62,f187]) ).

fof(f1175,plain,
    ! [X2,X3,X0,X1] :
      ( ~ between(reflection(X0,X1),X2,X1)
      | between(reflection(X0,X1),X2,X3)
      | ~ between(X0,X3,X1) ),
    inference(resolution,[],[f62,f879]) ).

fof(f1174,plain,
    ! [X2,X0,X1] :
      ( ~ between(reflection(X0,X1),X2,X1)
      | between(reflection(X0,X1),X2,X0) ),
    inference(resolution,[],[f62,f103]) ).

fof(f1173,plain,
    ! [X2,X3,X0,X1] :
      ( ~ between(X0,X1,X2)
      | between(X0,X1,reflection(X0,X3))
      | ~ between(X3,X2,X0) ),
    inference(resolution,[],[f62,f961]) ).

fof(f1172,plain,
    ! [X2,X3,X0,X1] :
      ( ~ between(X0,X1,X2)
      | between(X0,X1,reflection(X3,X2))
      | X0 != X3 ),
    inference(resolution,[],[f62,f194]) ).

fof(f1171,plain,
    ! [X2,X3,X0,X1] :
      ( ~ between(X0,X1,X2)
      | between(X0,X1,reflection(X3,X2))
      | ~ between(X3,X0,X2) ),
    inference(resolution,[],[f62,f846]) ).

fof(f1169,plain,
    ! [X2,X3,X0,X1,X4] :
      ( ~ between(X0,X1,X2)
      | between(X0,X1,extension(X0,X2,X3,X4)) ),
    inference(resolution,[],[f62,f4]) ).

fof(f1168,plain,
    ! [X2,X3,X0,X1] :
      ( ~ between(X0,X1,X2)
      | between(X0,X1,X3)
      | X2 != X3 ),
    inference(resolution,[],[f62,f486]) ).

fof(f1167,plain,
    ! [X2,X3,X0,X1] :
      ( ~ between(X0,X1,X2)
      | between(X0,X1,X3)
      | X0 != X2 ),
    inference(resolution,[],[f62,f493]) ).

fof(f62,axiom,
    ! [X3,X10,X0,X5] :
      ( ~ between(X10,X5,X0)
      | ~ between(X10,X3,X5)
      | between(X10,X3,X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',b9) ).

fof(f1117,plain,
    ! [X2,X3,X0,X1] :
      ( reflection(reflection(X2,X3),X3) = X1
      | insertion(X0,reflection(X0,X1),X0,X1) != X2 ),
    inference(superposition,[],[f711,f761]) ).

fof(f1116,plain,
    ! [X2,X3,X0,X1] :
      ( reflection(reflection(X2,X3),X3) = X1
      | insertion(X0,X1,X0,X1) != X2 ),
    inference(superposition,[],[f706,f761]) ).

fof(f1115,plain,
    ! [X2,X3,X0,X1,X4] :
      ( reflection(reflection(X3,X4),X4) = X0
      | insertion(X0,X1,X2,X2) != X3 ),
    inference(superposition,[],[f226,f761]) ).

fof(f1164,plain,
    ! [X2,X3,X0,X1,X4] :
      ( equidistant(X4,X0,X3,X2)
      | insertion(X0,X1,X2,X3) != X4 ),
    inference(forward_demodulation,[],[f1114,f48]) ).

fof(f1114,plain,
    ! [X2,X3,X0,X1,X4,X5] :
      ( equidistant(reflection(reflection(X4,X5),X5),X0,X3,X2)
      | insertion(X0,X1,X2,X3) != X4 ),
    inference(superposition,[],[f398,f761]) ).

fof(f1163,plain,
    ! [X2,X3,X0,X1,X4] :
      ( equidistant(X3,X2,X4,X0)
      | insertion(X0,X1,X2,X3) != X4 ),
    inference(forward_demodulation,[],[f1113,f48]) ).

fof(f1113,plain,
    ! [X2,X3,X0,X1,X4,X5] :
      ( equidistant(X3,X2,reflection(reflection(X4,X5),X5),X0)
      | insertion(X0,X1,X2,X3) != X4 ),
    inference(superposition,[],[f309,f761]) ).

fof(f1162,plain,
    ! [X2,X3,X0,X1,X4] :
      ( equidistant(X2,X3,X4,X0)
      | insertion(X0,X1,X2,X3) != X4 ),
    inference(forward_demodulation,[],[f1112,f48]) ).

fof(f1112,plain,
    ! [X2,X3,X0,X1,X4,X5] :
      ( equidistant(X2,X3,reflection(reflection(X4,X5),X5),X0)
      | insertion(X0,X1,X2,X3) != X4 ),
    inference(superposition,[],[f308,f761]) ).

fof(f1161,plain,
    ! [X2,X3,X0,X1,X4] :
      ( equidistant(X0,X4,X3,X2)
      | insertion(X0,X1,X2,X3) != X4 ),
    inference(forward_demodulation,[],[f1111,f48]) ).

fof(f1111,plain,
    ! [X2,X3,X0,X1,X4,X5] :
      ( equidistant(X0,reflection(reflection(X4,X5),X5),X3,X2)
      | insertion(X0,X1,X2,X3) != X4 ),
    inference(superposition,[],[f288,f761]) ).

fof(f1160,plain,
    ! [X2,X3,X0,X1,X4] :
      ( equidistant(X4,X0,X2,X3)
      | insertion(X0,X1,X2,X3) != X4 ),
    inference(forward_demodulation,[],[f1110,f48]) ).

fof(f1110,plain,
    ! [X2,X3,X0,X1,X4,X5] :
      ( equidistant(reflection(reflection(X4,X5),X5),X0,X2,X3)
      | insertion(X0,X1,X2,X3) != X4 ),
    inference(superposition,[],[f245,f761]) ).

fof(f1159,plain,
    ! [X2,X3,X0,X1,X4] :
      ( equidistant(X3,X2,X0,X4)
      | insertion(X0,X1,X2,X3) != X4 ),
    inference(forward_demodulation,[],[f1109,f48]) ).

fof(f1109,plain,
    ! [X2,X3,X0,X1,X4,X5] :
      ( equidistant(X3,X2,X0,reflection(reflection(X4,X5),X5))
      | insertion(X0,X1,X2,X3) != X4 ),
    inference(superposition,[],[f241,f761]) ).

fof(f1158,plain,
    ! [X2,X3,X0,X1,X4] :
      ( equidistant(X0,X4,X2,X3)
      | insertion(X0,X1,X2,X3) != X4 ),
    inference(forward_demodulation,[],[f1108,f48]) ).

fof(f1108,plain,
    ! [X2,X3,X0,X1,X4,X5] :
      ( equidistant(X0,reflection(reflection(X4,X5),X5),X2,X3)
      | insertion(X0,X1,X2,X3) != X4 ),
    inference(superposition,[],[f203,f761]) ).

fof(f1157,plain,
    ! [X2,X3,X0,X1,X4] :
      ( equidistant(X2,X3,X0,X4)
      | insertion(X0,X1,X2,X3) != X4 ),
    inference(forward_demodulation,[],[f1107,f48]) ).

fof(f1107,plain,
    ! [X2,X3,X0,X1,X4,X5] :
      ( equidistant(X2,X3,X0,reflection(reflection(X4,X5),X5))
      | insertion(X0,X1,X2,X3) != X4 ),
    inference(superposition,[],[f75,f761]) ).

fof(f1106,plain,
    ! [X0,X1] :
      ( lower_dimension_point_2 != reflection(reflection(X0,X1),X1)
      | reflection(reflection(lower_dimension_point_1,lower_dimension_point_2),reflection(lower_dimension_point_1,lower_dimension_point_2)) != X0 ),
    inference(superposition,[],[f623,f761]) ).

fof(f1105,plain,
    ! [X2,X3,X0,X1] :
      ( reflection(reflection(X2,X3),X3) = X0
      | reflection(reflection(X0,X1),X1) != X2 ),
    inference(superposition,[],[f48,f761]) ).

fof(f1104,plain,
    ! [X2,X0,X1] :
      ( lower_dimension_point_2 != reflection(reflection(X1,X2),X2)
      | lower_dimension_point_1 != X0
      | reflection(X0,lower_dimension_point_2) != X1 ),
    inference(superposition,[],[f786,f761]) ).

fof(f1103,plain,
    ! [X2,X0,X1] :
      ( lower_dimension_point_1 != reflection(reflection(X1,X2),X2)
      | lower_dimension_point_2 != X0
      | reflection(X0,lower_dimension_point_2) != X1 ),
    inference(superposition,[],[f825,f761]) ).

fof(f1156,plain,
    ! [X2,X0,X1,X4] :
      ( between(X0,X4,X2)
      | ~ between(X1,X4,X0)
      | reflection(X0,X1) != X2 ),
    inference(forward_demodulation,[],[f1102,f48]) ).

fof(f1102,plain,
    ! [X2,X3,X0,X1,X4] :
      ( between(X0,X4,reflection(reflection(X2,X3),X3))
      | ~ between(X1,X4,X0)
      | reflection(X0,X1) != X2 ),
    inference(superposition,[],[f961,f761]) ).

fof(f1155,plain,
    ! [X2,X0,X1,X4] :
      ( between(X2,X4,X0)
      | ~ between(X1,X4,X0)
      | reflection(X0,X1) != X2 ),
    inference(forward_demodulation,[],[f1101,f48]) ).

fof(f1101,plain,
    ! [X2,X3,X0,X1,X4] :
      ( between(reflection(reflection(X2,X3),X3),X4,X0)
      | ~ between(X1,X4,X0)
      | reflection(X0,X1) != X2 ),
    inference(superposition,[],[f949,f761]) ).

fof(f1154,plain,
    ! [X2,X0,X1,X4] :
      ( ~ between(X2,X4,X1)
      | between(X0,X1,X4)
      | reflection(X0,X1) != X2 ),
    inference(forward_demodulation,[],[f1100,f48]) ).

fof(f1100,plain,
    ! [X2,X3,X0,X1,X4] :
      ( ~ between(reflection(reflection(X2,X3),X3),X4,X1)
      | between(X0,X1,X4)
      | reflection(X0,X1) != X2 ),
    inference(superposition,[],[f921,f761]) ).

fof(f1153,plain,
    ! [X2,X0,X1,X4] :
      ( between(X2,X1,X4)
      | ~ between(X0,X4,X1)
      | reflection(X0,X1) != X2 ),
    inference(forward_demodulation,[],[f1099,f48]) ).

fof(f1099,plain,
    ! [X2,X3,X0,X1,X4] :
      ( between(reflection(reflection(X2,X3),X3),X1,X4)
      | ~ between(X0,X4,X1)
      | reflection(X0,X1) != X2 ),
    inference(superposition,[],[f879,f761]) ).

fof(f1152,plain,
    ! [X2,X0,X1,X4] :
      ( X0 != X2
      | between(X1,X0,X4)
      | reflection(X0,X1) != X2 ),
    inference(forward_demodulation,[],[f1098,f48]) ).

fof(f1098,plain,
    ! [X2,X3,X0,X1,X4] :
      ( reflection(reflection(X2,X3),X3) != X0
      | between(X1,X0,X4)
      | reflection(X0,X1) != X2 ),
    inference(superposition,[],[f857,f761]) ).

fof(f1151,plain,
    ! [X2,X0,X1,X4] :
      ( ~ between(X2,X4,X1)
      | between(X4,X1,X0)
      | reflection(X0,X1) != X2 ),
    inference(forward_demodulation,[],[f1097,f48]) ).

fof(f1097,plain,
    ! [X2,X3,X0,X1,X4] :
      ( ~ between(reflection(reflection(X2,X3),X3),X4,X1)
      | between(X4,X1,X0)
      | reflection(X0,X1) != X2 ),
    inference(superposition,[],[f848,f761]) ).

fof(f1150,plain,
    ! [X2,X0,X1,X4] :
      ( between(X4,X1,X2)
      | ~ between(X0,X4,X1)
      | reflection(X0,X1) != X2 ),
    inference(forward_demodulation,[],[f1096,f48]) ).

fof(f1096,plain,
    ! [X2,X3,X0,X1,X4] :
      ( between(X4,X1,reflection(reflection(X2,X3),X3))
      | ~ between(X0,X4,X1)
      | reflection(X0,X1) != X2 ),
    inference(superposition,[],[f846,f761]) ).

fof(f1149,plain,
    ! [X2,X0,X1,X4] :
      ( equidistant(X1,X2,X4,X1)
      | X0 != X4
      | reflection(X0,X1) != X2 ),
    inference(forward_demodulation,[],[f1095,f48]) ).

fof(f1095,plain,
    ! [X2,X3,X0,X1,X4] :
      ( equidistant(X1,reflection(reflection(X2,X3),X3),X4,X1)
      | X0 != X4
      | reflection(X0,X1) != X2 ),
    inference(superposition,[],[f759,f761]) ).

fof(f1148,plain,
    ! [X2,X0,X1] :
      ( insertion(X0,X2,X0,X1) = X1
      | reflection(X0,X1) != X2 ),
    inference(forward_demodulation,[],[f1094,f48]) ).

fof(f1094,plain,
    ! [X2,X3,X0,X1] :
      ( insertion(X0,reflection(reflection(X2,X3),X3),X0,X1) = X1
      | reflection(X0,X1) != X2 ),
    inference(superposition,[],[f711,f761]) ).

fof(f1147,plain,
    ! [X2,X0,X1] :
      ( ~ between(X2,X0,X1)
      | X0 = X1
      | reflection(X0,X1) != X2 ),
    inference(forward_demodulation,[],[f1093,f48]) ).

fof(f1093,plain,
    ! [X2,X3,X0,X1] :
      ( ~ between(reflection(reflection(X2,X3),X3),X0,X1)
      | X0 = X1
      | reflection(X0,X1) != X2 ),
    inference(superposition,[],[f667,f761]) ).

fof(f1092,plain,
    ! [X2,X3,X0,X1,X4] :
      ( reflection(reflection(X2,X3),X3) = reflection(X4,X1)
      | X0 != X4
      | reflection(X0,X1) != X2 ),
    inference(superposition,[],[f610,f761]) ).

fof(f1091,plain,
    ! [X2,X3,X0,X1,X4] :
      ( reflection(reflection(X2,X3),X3) = reflection(X4,X1)
      | X0 != X4
      | reflection(X0,X1) != X2 ),
    inference(superposition,[],[f610,f761]) ).

fof(f1146,plain,
    ! [X2,X0,X1] :
      ( ~ between(X1,X0,X2)
      | X0 = X1
      | reflection(X0,X1) != X2 ),
    inference(forward_demodulation,[],[f1090,f48]) ).

fof(f1090,plain,
    ! [X2,X3,X0,X1] :
      ( ~ between(X1,X0,reflection(reflection(X2,X3),X3))
      | X0 = X1
      | reflection(X0,X1) != X2 ),
    inference(superposition,[],[f577,f761]) ).

fof(f1089,plain,
    ! [X2,X3,X0,X1] :
      ( reflection(reflection(X2,X3),X3) != X0
      | X0 = X1
      | reflection(X0,X1) != X2 ),
    inference(superposition,[],[f461,f761]) ).

fof(f1145,plain,
    ! [X2,X0,X1,X4] :
      ( X0 != X2
      | between(X4,X1,X0)
      | reflection(X0,X1) != X2 ),
    inference(forward_demodulation,[],[f1088,f48]) ).

fof(f1088,plain,
    ! [X2,X3,X0,X1,X4] :
      ( reflection(reflection(X2,X3),X3) != X0
      | between(X4,X1,X0)
      | reflection(X0,X1) != X2 ),
    inference(superposition,[],[f460,f761]) ).

fof(f1138,plain,
    ! [X2,X0,X1,X4] :
      ( between(X4,X1,X2)
      | X0 != X4
      | reflection(X0,X1) != X2 ),
    inference(forward_demodulation,[],[f1081,f48]) ).

fof(f1081,plain,
    ! [X2,X3,X0,X1,X4] :
      ( between(X4,X1,reflection(reflection(X2,X3),X3))
      | X0 != X4
      | reflection(X0,X1) != X2 ),
    inference(superposition,[],[f194,f761]) ).

fof(f1137,plain,
    ! [X2,X0,X1,X4] :
      ( between(X2,X1,X4)
      | X0 != X4
      | reflection(X0,X1) != X2 ),
    inference(forward_demodulation,[],[f1080,f48]) ).

fof(f1080,plain,
    ! [X2,X3,X0,X1,X4] :
      ( between(reflection(reflection(X2,X3),X3),X1,X4)
      | X0 != X4
      | reflection(X0,X1) != X2 ),
    inference(superposition,[],[f187,f761]) ).

fof(f1136,plain,
    ! [X2,X0,X1,X4] :
      ( X2 != X4
      | between(X4,X1,X0)
      | reflection(X0,X1) != X2 ),
    inference(forward_demodulation,[],[f1079,f48]) ).

fof(f1079,plain,
    ! [X2,X3,X0,X1,X4] :
      ( reflection(reflection(X2,X3),X3) != X4
      | between(X4,X1,X0)
      | reflection(X0,X1) != X2 ),
    inference(superposition,[],[f168,f761]) ).

fof(f1078,plain,
    ! [X2,X3,X0,X1,X4] :
      ( reflection(reflection(X2,X3),X3) != X4
      | reflection(X4,X1) = X0
      | reflection(X0,X1) != X2 ),
    inference(superposition,[],[f166,f761]) ).

fof(f1135,plain,
    ! [X2,X0,X1,X4] :
      ( X2 != X4
      | between(X0,X1,X4)
      | reflection(X0,X1) != X2 ),
    inference(forward_demodulation,[],[f1077,f48]) ).

fof(f1077,plain,
    ! [X2,X3,X0,X1,X4] :
      ( reflection(reflection(X2,X3),X3) != X4
      | between(X0,X1,X4)
      | reflection(X0,X1) != X2 ),
    inference(superposition,[],[f164,f761]) ).

fof(f1076,plain,
    ! [X2,X3,X0,X1] :
      ( reflection(reflection(X2,X3),X3) = X1
      | X0 != X1
      | reflection(X0,X1) != X2 ),
    inference(superposition,[],[f114,f761]) ).

fof(f1072,plain,
    ! [X2,X3,X0,X1] :
      ( reflection(reflection(X2,X3),X3) != X1
      | X0 = X1
      | reflection(X0,X1) != X2 ),
    inference(superposition,[],[f40,f761]) ).

fof(f1069,plain,
    ! [X2,X0,X1] :
      ( reflection(reflection(X1,X2),X2) = X0
      | reflection(X0,X0) != X1 ),
    inference(superposition,[],[f39,f761]) ).

fof(f1068,plain,
    ! [X2,X3,X0,X1] :
      ( reflection(reflection(X1,X2),X2) = X3
      | X0 != X3
      | reflection(X0,X0) != X1 ),
    inference(superposition,[],[f126,f761]) ).

fof(f1067,plain,
    ! [X2,X3,X0,X1] :
      ( reflection(reflection(X1,X2),X2) != X3
      | reflection(X3,X3) = X0
      | reflection(X0,X0) != X1 ),
    inference(superposition,[],[f152,f761]) ).

fof(f1066,plain,
    ! [X2,X3,X0,X1] :
      ( reflection(reflection(X1,X2),X2) != X3
      | X0 = X3
      | reflection(X0,X0) != X1 ),
    inference(superposition,[],[f594,f761]) ).

fof(f1065,plain,
    ! [X2,X3,X0,X1] :
      ( reflection(X0,X1) = reflection(reflection(X2,X3),X3)
      | extension(X0,X1,X0,X1) != X2 ),
    inference(superposition,[],[f23,f761]) ).

fof(f1064,plain,
    ! [X2,X3,X0,X1] :
      ( reflection(reflection(X2,X3),X3) != X1
      | extension(X0,X1,lower_dimension_point_1,lower_dimension_point_2) != X2 ),
    inference(superposition,[],[f66,f761]) ).

fof(f1129,plain,
    ! [X2,X3,X0,X1,X4] :
      ( equidistant(X3,X2,X4,X1)
      | extension(X0,X1,X2,X3) != X4 ),
    inference(forward_demodulation,[],[f1063,f48]) ).

fof(f1063,plain,
    ! [X2,X3,X0,X1,X4,X5] :
      ( equidistant(X3,X2,reflection(reflection(X4,X5),X5),X1)
      | extension(X0,X1,X2,X3) != X4 ),
    inference(superposition,[],[f387,f761]) ).

fof(f1128,plain,
    ! [X2,X3,X0,X1,X4] :
      ( equidistant(X4,X1,X3,X2)
      | extension(X0,X1,X2,X3) != X4 ),
    inference(forward_demodulation,[],[f1062,f48]) ).

fof(f1062,plain,
    ! [X2,X3,X0,X1,X4,X5] :
      ( equidistant(reflection(reflection(X4,X5),X5),X1,X3,X2)
      | extension(X0,X1,X2,X3) != X4 ),
    inference(superposition,[],[f319,f761]) ).

fof(f1127,plain,
    ! [X2,X3,X0,X1,X4] :
      ( equidistant(X1,X4,X3,X2)
      | extension(X0,X1,X2,X3) != X4 ),
    inference(forward_demodulation,[],[f1061,f48]) ).

fof(f1061,plain,
    ! [X2,X3,X0,X1,X4,X5] :
      ( equidistant(X1,reflection(reflection(X4,X5),X5),X3,X2)
      | extension(X0,X1,X2,X3) != X4 ),
    inference(superposition,[],[f313,f761]) ).

fof(f1126,plain,
    ! [X2,X3,X0,X1,X4] :
      ( equidistant(X2,X3,X4,X1)
      | extension(X0,X1,X2,X3) != X4 ),
    inference(forward_demodulation,[],[f1060,f48]) ).

fof(f1060,plain,
    ! [X2,X3,X0,X1,X4,X5] :
      ( equidistant(X2,X3,reflection(reflection(X4,X5),X5),X1)
      | extension(X0,X1,X2,X3) != X4 ),
    inference(superposition,[],[f294,f761]) ).

fof(f1125,plain,
    ! [X2,X3,X0,X1,X4] :
      ( equidistant(X3,X2,X1,X4)
      | extension(X0,X1,X2,X3) != X4 ),
    inference(forward_demodulation,[],[f1059,f48]) ).

fof(f1059,plain,
    ! [X2,X3,X0,X1,X4,X5] :
      ( equidistant(X3,X2,X1,reflection(reflection(X4,X5),X5))
      | extension(X0,X1,X2,X3) != X4 ),
    inference(superposition,[],[f281,f761]) ).

fof(f1124,plain,
    ! [X2,X3,X0,X1,X4] :
      ( equidistant(X4,X1,X2,X3)
      | extension(X0,X1,X2,X3) != X4 ),
    inference(forward_demodulation,[],[f1058,f48]) ).

fof(f1058,plain,
    ! [X2,X3,X0,X1,X4,X5] :
      ( equidistant(reflection(reflection(X4,X5),X5),X1,X2,X3)
      | extension(X0,X1,X2,X3) != X4 ),
    inference(superposition,[],[f243,f761]) ).

fof(f1123,plain,
    ! [X2,X3,X0,X1,X4] :
      ( equidistant(X2,X3,X1,X4)
      | extension(X0,X1,X2,X3) != X4 ),
    inference(forward_demodulation,[],[f1057,f48]) ).

fof(f1057,plain,
    ! [X2,X3,X0,X1,X4,X5] :
      ( equidistant(X2,X3,X1,reflection(reflection(X4,X5),X5))
      | extension(X0,X1,X2,X3) != X4 ),
    inference(superposition,[],[f205,f761]) ).

fof(f1122,plain,
    ! [X2,X3,X0,X1,X4] :
      ( between(X4,X1,X0)
      | extension(X0,X1,X2,X3) != X4 ),
    inference(forward_demodulation,[],[f1056,f48]) ).

fof(f1056,plain,
    ! [X2,X3,X0,X1,X4,X5] :
      ( between(reflection(reflection(X4,X5),X5),X1,X0)
      | extension(X0,X1,X2,X3) != X4 ),
    inference(superposition,[],[f118,f761]) ).

fof(f1121,plain,
    ! [X2,X3,X0,X1,X4] :
      ( equidistant(X1,X4,X2,X3)
      | extension(X0,X1,X2,X3) != X4 ),
    inference(forward_demodulation,[],[f1055,f48]) ).

fof(f1055,plain,
    ! [X2,X3,X0,X1,X4,X5] :
      ( equidistant(X1,reflection(reflection(X4,X5),X5),X2,X3)
      | extension(X0,X1,X2,X3) != X4 ),
    inference(superposition,[],[f5,f761]) ).

fof(f1120,plain,
    ! [X2,X3,X0,X1,X4] :
      ( between(X0,X1,X4)
      | extension(X0,X1,X2,X3) != X4 ),
    inference(forward_demodulation,[],[f1054,f48]) ).

fof(f1054,plain,
    ! [X2,X3,X0,X1,X4,X5] :
      ( between(X0,X1,reflection(reflection(X4,X5),X5))
      | extension(X0,X1,X2,X3) != X4 ),
    inference(superposition,[],[f4,f761]) ).

fof(f1053,plain,
    ! [X2,X3,X0,X1,X4] :
      ( reflection(reflection(X3,X4),X4) = X1
      | extension(X0,X1,X2,X2) != X3 ),
    inference(superposition,[],[f34,f761]) ).

fof(f1052,plain,
    ! [X0,X1] :
      ( lower_dimension_point_2 != X1
      | lower_dimension_point_1 != reflection(X0,lower_dimension_point_2)
      | X0 != X1 ),
    inference(superposition,[],[f786,f761]) ).

fof(f1051,plain,
    ! [X0,X1] :
      ( lower_dimension_point_1 != X1
      | lower_dimension_point_2 != reflection(X0,lower_dimension_point_2)
      | X0 != X1 ),
    inference(superposition,[],[f825,f761]) ).

fof(f1050,plain,
    ! [X2,X3,X0,X1] :
      ( between(reflection(X0,X1),X3,X2)
      | ~ between(X1,X3,reflection(X0,X1))
      | X0 != X2 ),
    inference(superposition,[],[f961,f761]) ).

fof(f1049,plain,
    ! [X2,X3,X0,X1] :
      ( between(X2,X3,reflection(X0,X1))
      | ~ between(X1,X3,reflection(X0,X1))
      | X0 != X2 ),
    inference(superposition,[],[f949,f761]) ).

fof(f1048,plain,
    ! [X2,X3,X0,X1] :
      ( ~ between(X2,X3,X1)
      | between(reflection(X0,X1),X1,X3)
      | X0 != X2 ),
    inference(superposition,[],[f921,f761]) ).

fof(f1047,plain,
    ! [X2,X3,X0,X1] :
      ( between(X2,X1,X3)
      | ~ between(reflection(X0,X1),X3,X1)
      | X0 != X2 ),
    inference(superposition,[],[f879,f761]) ).

fof(f1046,plain,
    ! [X2,X3,X0,X1] :
      ( reflection(X0,X1) != X2
      | between(X1,reflection(X0,X1),X3)
      | X0 != X2 ),
    inference(superposition,[],[f857,f761]) ).

fof(f1045,plain,
    ! [X2,X3,X0,X1] :
      ( ~ between(X2,X3,X1)
      | between(X3,X1,reflection(X0,X1))
      | X0 != X2 ),
    inference(superposition,[],[f848,f761]) ).

fof(f1044,plain,
    ! [X2,X3,X0,X1] :
      ( between(X3,X1,X2)
      | ~ between(reflection(X0,X1),X3,X1)
      | X0 != X2 ),
    inference(superposition,[],[f846,f761]) ).

fof(f1043,plain,
    ! [X2,X3,X0,X1] :
      ( equidistant(X1,X2,X3,X1)
      | reflection(X0,X1) != X3
      | X0 != X2 ),
    inference(superposition,[],[f759,f761]) ).

fof(f1042,plain,
    ! [X2,X0,X1] :
      ( insertion(reflection(X0,X1),X2,reflection(X0,X1),X1) = X1
      | X0 != X2 ),
    inference(superposition,[],[f711,f761]) ).

fof(f1041,plain,
    ! [X2,X0,X1] :
      ( ~ between(X2,reflection(X0,X1),X1)
      | reflection(X0,X1) = X1
      | X0 != X2 ),
    inference(superposition,[],[f667,f761]) ).

fof(f1040,plain,
    ! [X2,X3,X0,X1] :
      ( reflection(X3,X1) = X2
      | reflection(X0,X1) != X3
      | X0 != X2 ),
    inference(superposition,[],[f610,f761]) ).

fof(f1039,plain,
    ! [X2,X3,X0,X1] :
      ( reflection(X3,X1) = X2
      | reflection(X0,X1) != X3
      | X0 != X2 ),
    inference(superposition,[],[f610,f761]) ).

fof(f1038,plain,
    ! [X2,X0,X1] :
      ( ~ between(X1,reflection(X0,X1),X2)
      | reflection(X0,X1) = X1
      | X0 != X2 ),
    inference(superposition,[],[f577,f761]) ).

fof(f1037,plain,
    ! [X2,X0,X1] :
      ( reflection(X0,X1) != X2
      | reflection(X0,X1) = X1
      | X0 != X2 ),
    inference(superposition,[],[f461,f761]) ).

fof(f1036,plain,
    ! [X2,X3,X0,X1] :
      ( reflection(X0,X1) != X2
      | between(X3,X1,reflection(X0,X1))
      | X0 != X2 ),
    inference(superposition,[],[f460,f761]) ).

fof(f1035,plain,
    ! [X2,X0,X1] :
      ( equidistant(X1,X2,X1,reflection(X0,X1))
      | X0 != X2 ),
    inference(superposition,[],[f246,f761]) ).

fof(f1034,plain,
    ! [X2,X0,X1] :
      ( equidistant(X2,X1,reflection(X0,X1),X1)
      | X0 != X2 ),
    inference(superposition,[],[f244,f761]) ).

fof(f1033,plain,
    ! [X2,X0,X1] :
      ( equidistant(reflection(X0,X1),X1,X2,X1)
      | X0 != X2 ),
    inference(superposition,[],[f242,f761]) ).

fof(f1032,plain,
    ! [X2,X0,X1] :
      ( equidistant(X1,reflection(X0,X1),X1,X2)
      | X0 != X2 ),
    inference(superposition,[],[f239,f761]) ).

fof(f1031,plain,
    ! [X2,X0,X1] :
      ( equidistant(reflection(X0,X1),X1,X1,X2)
      | X0 != X2 ),
    inference(superposition,[],[f206,f761]) ).

fof(f1030,plain,
    ! [X2,X0,X1] :
      ( equidistant(X2,X1,X1,reflection(X0,X1))
      | X0 != X2 ),
    inference(superposition,[],[f204,f761]) ).

fof(f1029,plain,
    ! [X2,X3,X0,X1] :
      ( between(X3,X1,X2)
      | reflection(X0,X1) != X3
      | X0 != X2 ),
    inference(superposition,[],[f194,f761]) ).

fof(f1028,plain,
    ! [X2,X3,X0,X1] :
      ( between(X2,X1,X3)
      | reflection(X0,X1) != X3
      | X0 != X2 ),
    inference(superposition,[],[f187,f761]) ).

fof(f1027,plain,
    ! [X2,X3,X0,X1] :
      ( X2 != X3
      | between(X3,X1,reflection(X0,X1))
      | X0 != X2 ),
    inference(superposition,[],[f168,f761]) ).

fof(f1026,plain,
    ! [X2,X3,X0,X1] :
      ( X2 != X3
      | reflection(X0,X1) = reflection(X3,X1)
      | X0 != X2 ),
    inference(superposition,[],[f166,f761]) ).

fof(f1025,plain,
    ! [X2,X3,X0,X1] :
      ( X2 != X3
      | between(reflection(X0,X1),X1,X3)
      | X0 != X2 ),
    inference(superposition,[],[f164,f761]) ).

fof(f1024,plain,
    ! [X2,X0,X1] :
      ( X1 = X2
      | reflection(X0,X1) != X1
      | X0 != X2 ),
    inference(superposition,[],[f114,f761]) ).

fof(f1020,plain,
    ! [X2,X0,X1] :
      ( X1 != X2
      | reflection(X0,X1) = X1
      | X0 != X2 ),
    inference(superposition,[],[f40,f761]) ).

fof(f1019,plain,
    ! [X2,X0,X1] :
      ( equidistant(X1,X2,reflection(X0,X1),X1)
      | X0 != X2 ),
    inference(superposition,[],[f37,f761]) ).

fof(f1016,plain,
    ! [X2,X3,X0,X1] :
      ( reflection(X2,X2) = X3
      | X0 != X3
      | reflection(reflection(X0,X1),X1) != X2 ),
    inference(superposition,[],[f761,f126]) ).

fof(f1015,plain,
    ! [X2,X3,X0,X1,X4] :
      ( reflection(reflection(X2,X3),X3) = X4
      | X0 != X4
      | reflection(reflection(X0,X1),X1) != X2 ),
    inference(superposition,[],[f761,f761]) ).

fof(f1014,plain,
    ! [X2,X0,X1] :
      ( X1 = X2
      | X0 != X2
      | reflection(X0,X1) != X1 ),
    inference(superposition,[],[f761,f114]) ).

fof(f1013,plain,
    ! [X2,X3,X0,X1] :
      ( reflection(X2,X1) = X3
      | X0 != X3
      | reflection(X0,X1) != X2 ),
    inference(superposition,[],[f761,f610]) ).

fof(f1012,plain,
    ! [X2,X3,X0,X1] :
      ( reflection(X2,X1) = X3
      | X0 != X3
      | reflection(X0,X1) != X2 ),
    inference(superposition,[],[f761,f610]) ).

fof(f1119,plain,
    ! [X2,X3,X0,X1] :
      ( reflection(X2,X1) = X3
      | X0 != X3
      | reflection(X0,X1) != X2 ),
    inference(forward_demodulation,[],[f1009,f39]) ).

fof(f1009,plain,
    ! [X2,X3,X0,X1] :
      ( reflection(reflection(X2,X2),X1) = X3
      | X0 != X3
      | reflection(X0,X1) != X2 ),
    inference(superposition,[],[f761,f126]) ).

fof(f1118,plain,
    ! [X2,X0,X1,X4] :
      ( reflection(X2,X1) = X4
      | X0 != X4
      | reflection(X0,X1) != X2 ),
    inference(forward_demodulation,[],[f1008,f48]) ).

fof(f1008,plain,
    ! [X2,X3,X0,X1,X4] :
      ( reflection(reflection(reflection(X2,X3),X3),X1) = X4
      | X0 != X4
      | reflection(X0,X1) != X2 ),
    inference(superposition,[],[f761,f761]) ).

fof(f1006,plain,
    ! [X2,X3,X0,X1] :
      ( reflection(X2,X1) = X3
      | reflection(X0,X1) != X3
      | X0 != X2 ),
    inference(superposition,[],[f761,f761]) ).

fof(f1005,plain,
    ! [X2,X0,X1] :
      ( reflection(X1,X1) = X2
      | X0 != X2
      | X0 != X1 ),
    inference(superposition,[],[f761,f114]) ).

fof(f1004,plain,
    ! [X2,X3,X0,X1] :
      ( reflection(reflection(X2,X1),X1) = X3
      | X0 != X3
      | X0 != X2 ),
    inference(superposition,[],[f761,f610]) ).

fof(f1003,plain,
    ! [X2,X3,X0,X1] :
      ( reflection(reflection(X2,X1),X1) = X3
      | X0 != X3
      | X0 != X2 ),
    inference(superposition,[],[f761,f610]) ).

fof(f1001,plain,
    ! [X2,X0,X1] :
      ( reflection(X1,X0) = X2
      | X0 != X2
      | X0 != X1 ),
    inference(superposition,[],[f761,f126]) ).

fof(f761,plain,
    ! [X2,X0,X1] :
      ( reflection(reflection(X2,X1),X1) = X0
      | X0 != X2 ),
    inference(superposition,[],[f48,f610]) ).

fof(f1000,plain,
    ! [X2,X3,X0,X1] :
      ( equidistant(X1,X2,X3,X1)
      | X0 != X3
      | reflection(X0,X1) != X2 ),
    inference(forward_demodulation,[],[f999,f39]) ).

fof(f999,plain,
    ! [X2,X3,X0,X1] :
      ( equidistant(X1,reflection(X2,X2),X3,X1)
      | X0 != X3
      | reflection(X0,X1) != X2 ),
    inference(superposition,[],[f759,f126]) ).

fof(f997,plain,
    ! [X2,X0,X1] :
      ( equidistant(X1,X1,X2,X1)
      | X0 != X2
      | X0 != X1 ),
    inference(superposition,[],[f759,f114]) ).

fof(f996,plain,
    ! [X2,X3,X0,X1] :
      ( equidistant(X1,reflection(X2,X1),X3,X1)
      | X0 != X3
      | X0 != X2 ),
    inference(superposition,[],[f759,f610]) ).

fof(f995,plain,
    ! [X2,X3,X0,X1] :
      ( equidistant(X1,reflection(X2,X1),X3,X1)
      | X0 != X3
      | X0 != X2 ),
    inference(superposition,[],[f759,f610]) ).

fof(f993,plain,
    ! [X2,X0,X1] :
      ( equidistant(X0,X1,X2,X0)
      | X0 != X2
      | X0 != X1 ),
    inference(superposition,[],[f759,f126]) ).

fof(f992,plain,
    ! [X2,X0,X1] :
      ( X0 != X1
      | equidistant(X2,X0,reflection(X1,X2),X2) ),
    inference(resolution,[],[f759,f32]) ).

fof(f991,plain,
    ! [X2,X0,X1] :
      ( X0 != X1
      | equidistant(X2,X0,X2,reflection(X1,X2)) ),
    inference(resolution,[],[f759,f31]) ).

fof(f990,plain,
    ! [X2,X0,X1] :
      ( X0 != X1
      | equidistant(X0,X2,reflection(X1,X2),X2) ),
    inference(resolution,[],[f759,f30]) ).

fof(f989,plain,
    ! [X2,X0,X1] :
      ( X0 != X1
      | equidistant(reflection(X1,X2),X2,X2,X0) ),
    inference(resolution,[],[f759,f29]) ).

fof(f988,plain,
    ! [X2,X0,X1] :
      ( X0 != X1
      | equidistant(X2,reflection(X1,X2),X2,X0) ),
    inference(resolution,[],[f759,f28]) ).

fof(f987,plain,
    ! [X2,X0,X1] :
      ( X0 != X1
      | equidistant(reflection(X1,X2),X2,X0,X2) ),
    inference(resolution,[],[f759,f27]) ).

fof(f986,plain,
    ! [X2,X0,X1] :
      ( X0 != X1
      | equidistant(X0,X2,X2,reflection(X1,X2)) ),
    inference(resolution,[],[f759,f26]) ).

fof(f759,plain,
    ! [X2,X0,X1] :
      ( equidistant(X1,reflection(X2,X1),X0,X1)
      | X0 != X2 ),
    inference(superposition,[],[f37,f610]) ).

fof(f984,plain,
    ! [X2,X3,X0,X1] :
      ( between(X0,X3,X2)
      | ~ between(X1,X3,X0)
      | reflection(X0,X1) != X2 ),
    inference(forward_demodulation,[],[f983,f39]) ).

fof(f983,plain,
    ! [X2,X3,X0,X1] :
      ( between(X0,X3,reflection(X2,X2))
      | ~ between(X1,X3,X0)
      | reflection(X0,X1) != X2 ),
    inference(superposition,[],[f961,f126]) ).

fof(f982,plain,
    ! [X2,X0,X1] :
      ( between(reflection(X0,X1),X2,X0)
      | ~ between(X1,X2,reflection(X0,X1)) ),
    inference(superposition,[],[f961,f48]) ).

fof(f980,plain,
    ! [X2,X3,X0,X1] :
      ( between(X0,X3,reflection(X2,X1))
      | ~ between(X1,X3,X0)
      | X0 != X2 ),
    inference(superposition,[],[f961,f610]) ).

fof(f979,plain,
    ! [X2,X3,X0,X1] :
      ( between(X0,X3,reflection(X2,X1))
      | ~ between(X1,X3,X0)
      | X0 != X2 ),
    inference(superposition,[],[f961,f610]) ).

fof(f977,plain,
    ! [X2,X0,X1] :
      ( between(X0,X2,X1)
      | ~ between(X0,X2,X0)
      | X0 != X1 ),
    inference(superposition,[],[f961,f126]) ).

fof(f975,plain,
    ! [X2,X0,X1] :
      ( ~ between(X0,X1,X2)
      | ~ between(X1,X2,reflection(X2,X0))
      | X1 = X2 ),
    inference(resolution,[],[f961,f53]) ).

fof(f974,plain,
    ! [X2,X0,X1] :
      ( ~ between(X0,X1,X2)
      | reflection(X2,X0) = X1
      | ~ between(X2,reflection(X2,X0),X1) ),
    inference(resolution,[],[f961,f54]) ).

fof(f973,plain,
    ! [X2,X0,X1] :
      ( ~ between(X0,X1,X2)
      | insertion(X2,reflection(X2,X0),X2,X1) = X1 ),
    inference(resolution,[],[f961,f78]) ).

fof(f972,plain,
    ! [X2,X3,X0,X1] :
      ( ~ between(X0,X1,X2)
      | ~ between(X2,X3,X1)
      | between(X3,X1,reflection(X2,X0)) ),
    inference(resolution,[],[f961,f58]) ).

fof(f971,plain,
    ! [X2,X3,X0,X1] :
      ( ~ between(X0,X1,X2)
      | ~ between(X1,X3,reflection(X2,X0))
      | between(X2,X3,reflection(X2,X0)) ),
    inference(resolution,[],[f961,f61]) ).

fof(f961,plain,
    ! [X2,X0,X1] :
      ( between(X2,X1,reflection(X2,X0))
      | ~ between(X0,X1,X2) ),
    inference(resolution,[],[f949,f51]) ).

fof(f969,plain,
    ! [X2,X3,X0,X1] :
      ( between(X2,X3,X0)
      | ~ between(X1,X3,X0)
      | reflection(X0,X1) != X2 ),
    inference(forward_demodulation,[],[f968,f39]) ).

fof(f968,plain,
    ! [X2,X3,X0,X1] :
      ( between(reflection(X2,X2),X3,X0)
      | ~ between(X1,X3,X0)
      | reflection(X0,X1) != X2 ),
    inference(superposition,[],[f949,f126]) ).

fof(f967,plain,
    ! [X2,X0,X1] :
      ( between(X0,X2,reflection(X0,X1))
      | ~ between(X1,X2,reflection(X0,X1)) ),
    inference(superposition,[],[f949,f48]) ).

fof(f965,plain,
    ! [X2,X3,X0,X1] :
      ( between(reflection(X2,X1),X3,X0)
      | ~ between(X1,X3,X0)
      | X0 != X2 ),
    inference(superposition,[],[f949,f610]) ).

fof(f964,plain,
    ! [X2,X3,X0,X1] :
      ( between(reflection(X2,X1),X3,X0)
      | ~ between(X1,X3,X0)
      | X0 != X2 ),
    inference(superposition,[],[f949,f610]) ).

fof(f960,plain,
    ! [X2,X0,X1] :
      ( ~ between(X0,X1,X2)
      | ~ between(X1,reflection(X2,X0),X2)
      | reflection(X2,X0) = X1 ),
    inference(resolution,[],[f949,f53]) ).

fof(f959,plain,
    ! [X2,X0,X1] :
      ( ~ between(X0,X1,X2)
      | X1 = X2
      | ~ between(reflection(X2,X0),X2,X1) ),
    inference(resolution,[],[f949,f54]) ).

fof(f958,plain,
    ! [X2,X0,X1] :
      ( ~ between(X0,X1,X2)
      | insertion(reflection(X2,X0),X2,reflection(X2,X0),X1) = X1 ),
    inference(resolution,[],[f949,f78]) ).

fof(f957,plain,
    ! [X2,X3,X0,X1] :
      ( ~ between(X0,X1,X2)
      | ~ between(reflection(X2,X0),X3,X1)
      | between(X3,X1,X2) ),
    inference(resolution,[],[f949,f58]) ).

fof(f956,plain,
    ! [X2,X3,X0,X1] :
      ( ~ between(X0,X1,X2)
      | ~ between(X1,X3,X2)
      | between(reflection(X2,X0),X3,X2) ),
    inference(resolution,[],[f949,f61]) ).

fof(f949,plain,
    ! [X2,X0,X1] :
      ( between(reflection(X2,X0),X1,X2)
      | ~ between(X0,X1,X2) ),
    inference(resolution,[],[f61,f103]) ).

fof(f952,plain,
    ! [X2,X3,X0,X1,X4] :
      ( ~ between(X0,X1,X2)
      | between(extension(X2,X0,X3,X4),X1,X2) ),
    inference(resolution,[],[f61,f118]) ).

fof(f951,plain,
    ! [X2,X3,X0,X1] :
      ( ~ between(X0,X1,X2)
      | between(reflection(X3,X0),X1,X2)
      | X2 != X3 ),
    inference(resolution,[],[f61,f187]) ).

fof(f950,plain,
    ! [X2,X3,X0,X1] :
      ( ~ between(X0,X1,X2)
      | between(reflection(X3,X0),X1,X2)
      | ~ between(X3,X2,X0) ),
    inference(resolution,[],[f61,f879]) ).

fof(f948,plain,
    ! [X2,X3,X0,X1] :
      ( ~ between(X0,X1,reflection(X2,X0))
      | between(X3,X1,reflection(X2,X0))
      | X2 != X3 ),
    inference(resolution,[],[f61,f194]) ).

fof(f947,plain,
    ! [X2,X3,X0,X1] :
      ( ~ between(X0,X1,reflection(X2,X0))
      | between(X3,X1,reflection(X2,X0))
      | ~ between(X2,X3,X0) ),
    inference(resolution,[],[f61,f846]) ).

fof(f946,plain,
    ! [X2,X0,X1] :
      ( ~ between(X0,X1,reflection(X2,X0))
      | between(X2,X1,reflection(X2,X0)) ),
    inference(resolution,[],[f61,f36]) ).

fof(f945,plain,
    ! [X2,X3,X0,X1,X4] :
      ( ~ between(X0,X1,extension(X2,X0,X3,X4))
      | between(X2,X1,extension(X2,X0,X3,X4)) ),
    inference(resolution,[],[f61,f4]) ).

fof(f944,plain,
    ! [X2,X3,X0,X1] :
      ( ~ between(X0,X1,X2)
      | between(X3,X1,X2)
      | X0 != X2 ),
    inference(resolution,[],[f61,f486]) ).

fof(f943,plain,
    ! [X2,X3,X0,X1] :
      ( ~ between(X0,X1,X2)
      | between(X3,X1,X2)
      | X0 != X3 ),
    inference(resolution,[],[f61,f493]) ).

fof(f61,axiom,
    ! [X3,X10,X0,X5] :
      ( ~ between(X10,X3,X0)
      | ~ between(X3,X5,X0)
      | between(X10,X5,X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',b8) ).

fof(f940,plain,
    ! [X2,X3,X0,X1] :
      ( ~ between(X2,X3,X1)
      | between(X0,X1,X3)
      | reflection(X0,X1) != X2 ),
    inference(forward_demodulation,[],[f939,f39]) ).

fof(f939,plain,
    ! [X2,X3,X0,X1] :
      ( ~ between(reflection(X2,X2),X3,X1)
      | between(X0,X1,X3)
      | reflection(X0,X1) != X2 ),
    inference(superposition,[],[f921,f126]) ).

fof(f936,plain,
    ! [X2,X3,X0,X1] :
      ( ~ between(reflection(X2,X1),X3,X1)
      | between(X0,X1,X3)
      | X0 != X2 ),
    inference(superposition,[],[f921,f610]) ).

fof(f935,plain,
    ! [X2,X3,X0,X1] :
      ( ~ between(reflection(X2,X1),X3,X1)
      | between(X0,X1,X3)
      | X0 != X2 ),
    inference(superposition,[],[f921,f610]) ).

fof(f932,plain,
    ! [X2,X0,X1] :
      ( between(X0,reflection(X1,X2),X2)
      | reflection(X0,reflection(X1,X2)) != X1 ),
    inference(resolution,[],[f921,f194]) ).

fof(f931,plain,
    ! [X2,X0,X1] :
      ( between(X0,reflection(X1,X2),X2)
      | ~ between(X1,reflection(X0,reflection(X1,X2)),X2) ),
    inference(resolution,[],[f921,f846]) ).

fof(f921,plain,
    ! [X2,X0,X1] :
      ( ~ between(reflection(X0,X1),X2,X1)
      | between(X0,X1,X2) ),
    inference(superposition,[],[f879,f48]) ).

fof(f923,plain,
    ! [X2,X3,X0,X1] :
      ( between(X2,X1,X3)
      | ~ between(X0,X3,X1)
      | reflection(X0,X1) != X2 ),
    inference(forward_demodulation,[],[f922,f39]) ).

fof(f922,plain,
    ! [X2,X3,X0,X1] :
      ( between(reflection(X2,X2),X1,X3)
      | ~ between(X0,X3,X1)
      | reflection(X0,X1) != X2 ),
    inference(superposition,[],[f879,f126]) ).

fof(f919,plain,
    ! [X2,X3,X0,X1] :
      ( between(reflection(X2,X1),X1,X3)
      | ~ between(X0,X3,X1)
      | X0 != X2 ),
    inference(superposition,[],[f879,f610]) ).

fof(f918,plain,
    ! [X2,X3,X0,X1] :
      ( between(reflection(X2,X1),X1,X3)
      | ~ between(X0,X3,X1)
      | X0 != X2 ),
    inference(superposition,[],[f879,f610]) ).

fof(f915,plain,
    ! [X0,X1] :
      ( ~ between(X0,reflection(X1,reflection(X0,X1)),X1)
      | reflection(X0,X1) = X1 ),
    inference(resolution,[],[f879,f577]) ).

fof(f913,plain,
    ! [X2,X0,X1] :
      ( ~ between(X0,X1,X2)
      | ~ between(X2,reflection(X0,X2),X1)
      | reflection(X0,X2) = X2 ),
    inference(resolution,[],[f879,f53]) ).

fof(f912,plain,
    ! [X2,X0,X1] :
      ( ~ between(X0,X1,X2)
      | X1 = X2
      | ~ between(reflection(X0,X2),X1,X2) ),
    inference(resolution,[],[f879,f54]) ).

fof(f911,plain,
    ! [X2,X0,X1] :
      ( ~ between(X0,X1,X2)
      | insertion(reflection(X0,X2),X1,reflection(X0,X2),X2) = X2 ),
    inference(resolution,[],[f879,f78]) ).

fof(f910,plain,
    ! [X2,X3,X0,X1] :
      ( ~ between(X0,X1,X2)
      | ~ between(reflection(X0,X2),X3,X2)
      | between(X3,X2,X1) ),
    inference(resolution,[],[f879,f58]) ).

fof(f909,plain,
    ! [X0,X1] :
      ( ~ between(X0,reflection(X0,X1),X1)
      | reflection(X0,X1) = X1 ),
    inference(resolution,[],[f879,f7]) ).

fof(f908,plain,
    ! [X2,X0,X1] :
      ( ~ between(X0,reflection(X0,X1),X1)
      | between(X2,X1,reflection(X0,X1)) ),
    inference(resolution,[],[f879,f95]) ).

fof(f907,plain,
    ! [X2,X0,X1] :
      ( ~ between(X0,reflection(X0,X1),X1)
      | between(X1,reflection(X0,X1),X2) ),
    inference(resolution,[],[f879,f842]) ).

fof(f879,plain,
    ! [X2,X0,X1] :
      ( between(reflection(X0,X2),X2,X1)
      | ~ between(X0,X1,X2) ),
    inference(resolution,[],[f846,f51]) ).

fof(f904,plain,
    ! [X2,X3,X0,X1] :
      ( ~ between(X2,X3,X1)
      | between(X3,X1,X0)
      | reflection(X0,X1) != X2 ),
    inference(forward_demodulation,[],[f903,f39]) ).

fof(f903,plain,
    ! [X2,X3,X0,X1] :
      ( ~ between(reflection(X2,X2),X3,X1)
      | between(X3,X1,X0)
      | reflection(X0,X1) != X2 ),
    inference(superposition,[],[f848,f126]) ).

fof(f900,plain,
    ! [X2,X3,X0,X1] :
      ( ~ between(reflection(X2,X1),X3,X1)
      | between(X3,X1,X0)
      | X0 != X2 ),
    inference(superposition,[],[f848,f610]) ).

fof(f899,plain,
    ! [X2,X3,X0,X1] :
      ( ~ between(reflection(X2,X1),X3,X1)
      | between(X3,X1,X0)
      | X0 != X2 ),
    inference(superposition,[],[f848,f610]) ).

fof(f896,plain,
    ! [X2,X0,X1] :
      ( between(X0,reflection(X1,X0),X2)
      | reflection(X2,reflection(X1,X0)) != X1 ),
    inference(resolution,[],[f848,f194]) ).

fof(f895,plain,
    ! [X2,X0,X1] :
      ( between(X0,reflection(X1,X0),X2)
      | ~ between(X1,reflection(X2,reflection(X1,X0)),X0) ),
    inference(resolution,[],[f848,f846]) ).

fof(f848,plain,
    ! [X2,X0,X1] :
      ( ~ between(reflection(X0,X1),X2,X1)
      | between(X2,X1,X0) ),
    inference(resolution,[],[f58,f103]) ).

fof(f888,plain,
    ! [X2,X3,X0,X1] :
      ( between(X3,X1,X2)
      | ~ between(X0,X3,X1)
      | reflection(X0,X1) != X2 ),
    inference(forward_demodulation,[],[f887,f39]) ).

fof(f887,plain,
    ! [X2,X3,X0,X1] :
      ( between(X3,X1,reflection(X2,X2))
      | ~ between(X0,X3,X1)
      | reflection(X0,X1) != X2 ),
    inference(superposition,[],[f846,f126]) ).

fof(f886,plain,
    ! [X2,X0,X1] :
      ( between(X2,X1,X0)
      | ~ between(reflection(X0,X1),X2,X1) ),
    inference(superposition,[],[f846,f48]) ).

fof(f884,plain,
    ! [X2,X3,X0,X1] :
      ( between(X3,X1,reflection(X2,X1))
      | ~ between(X0,X3,X1)
      | X0 != X2 ),
    inference(superposition,[],[f846,f610]) ).

fof(f883,plain,
    ! [X2,X3,X0,X1] :
      ( between(X3,X1,reflection(X2,X1))
      | ~ between(X0,X3,X1)
      | X0 != X2 ),
    inference(superposition,[],[f846,f610]) ).

fof(f880,plain,
    ! [X0,X1] :
      ( ~ between(X0,reflection(X1,reflection(X0,X1)),X1)
      | reflection(X0,X1) = X1 ),
    inference(resolution,[],[f846,f667]) ).

fof(f878,plain,
    ! [X2,X0,X1] :
      ( ~ between(X0,X1,X2)
      | ~ between(X2,X1,reflection(X0,X2))
      | X1 = X2 ),
    inference(resolution,[],[f846,f53]) ).

fof(f877,plain,
    ! [X2,X0,X1] :
      ( ~ between(X0,X1,X2)
      | reflection(X0,X2) = X2
      | ~ between(X1,reflection(X0,X2),X2) ),
    inference(resolution,[],[f846,f54]) ).

fof(f876,plain,
    ! [X2,X0,X1] :
      ( ~ between(X0,X1,X2)
      | insertion(X1,reflection(X0,X2),X1,X2) = X2 ),
    inference(resolution,[],[f846,f78]) ).

fof(f875,plain,
    ! [X2,X3,X0,X1] :
      ( ~ between(X0,X1,X2)
      | ~ between(X1,X3,X2)
      | between(X3,X2,reflection(X0,X2)) ),
    inference(resolution,[],[f846,f58]) ).

fof(f874,plain,
    ! [X0,X1] :
      ( ~ between(X0,reflection(X0,X1),X1)
      | reflection(X0,X1) = X1 ),
    inference(resolution,[],[f846,f7]) ).

fof(f873,plain,
    ! [X2,X0,X1] :
      ( ~ between(X0,reflection(X0,X1),X1)
      | between(X2,X1,reflection(X0,X1)) ),
    inference(resolution,[],[f846,f95]) ).

fof(f872,plain,
    ! [X2,X0,X1] :
      ( ~ between(X0,reflection(X0,X1),X1)
      | between(X1,reflection(X0,X1),X2) ),
    inference(resolution,[],[f846,f842]) ).

fof(f846,plain,
    ! [X2,X0,X1] :
      ( between(X1,X2,reflection(X0,X2))
      | ~ between(X0,X1,X2) ),
    inference(resolution,[],[f58,f36]) ).

fof(f870,plain,
    ! [X2,X3,X0,X1] :
      ( X0 != X2
      | between(X1,X0,X3)
      | reflection(X0,X1) != X2 ),
    inference(forward_demodulation,[],[f865,f39]) ).

fof(f865,plain,
    ! [X2,X3,X0,X1] :
      ( reflection(X2,X2) != X0
      | between(X1,X0,X3)
      | reflection(X0,X1) != X2 ),
    inference(superposition,[],[f857,f126]) ).

fof(f864,plain,
    ! [X2,X0,X1] :
      ( reflection(X0,X1) != X0
      | between(X1,reflection(X0,X1),X2) ),
    inference(superposition,[],[f857,f48]) ).

fof(f862,plain,
    ! [X2,X3,X0,X1] :
      ( reflection(X2,X1) != X0
      | between(X1,X0,X3)
      | X0 != X2 ),
    inference(superposition,[],[f857,f610]) ).

fof(f861,plain,
    ! [X2,X3,X0,X1] :
      ( reflection(X2,X1) != X0
      | between(X1,X0,X3)
      | X0 != X2 ),
    inference(superposition,[],[f857,f610]) ).

fof(f857,plain,
    ! [X2,X0,X1] :
      ( reflection(X1,X0) != X1
      | between(X0,X1,X2) ),
    inference(inner_rewriting,[],[f855]) ).

fof(f858,plain,
    ! [X2,X0,X1] :
      ( between(X0,X1,X2)
      | reflection(X1,X0) != X1 ),
    inference(inner_rewriting,[],[f856]) ).

fof(f856,plain,
    ! [X2,X0,X1] :
      ( between(X0,reflection(X1,X0),X2)
      | reflection(X1,X0) != X1 ),
    inference(resolution,[],[f842,f187]) ).

fof(f855,plain,
    ! [X2,X0,X1] :
      ( between(X0,reflection(X1,X0),X2)
      | reflection(X1,X0) != X1 ),
    inference(resolution,[],[f842,f194]) ).

fof(f842,plain,
    ! [X2,X0,X1] :
      ( ~ between(X0,X1,X0)
      | between(X1,X0,X2) ),
    inference(resolution,[],[f58,f52]) ).

fof(f850,plain,
    ! [X2,X3,X0,X1,X4] :
      ( ~ between(extension(X0,X1,X2,X3),X4,X1)
      | between(X4,X1,X0) ),
    inference(resolution,[],[f58,f118]) ).

fof(f849,plain,
    ! [X2,X3,X0,X1] :
      ( ~ between(reflection(X0,X1),X2,X1)
      | between(X2,X1,X3)
      | X0 != X3 ),
    inference(resolution,[],[f58,f187]) ).

fof(f847,plain,
    ! [X2,X3,X0,X1] :
      ( ~ between(X0,X1,X2)
      | between(X1,X2,reflection(X3,X2))
      | X0 != X3 ),
    inference(resolution,[],[f58,f194]) ).

fof(f845,plain,
    ! [X2,X3,X0,X1,X4] :
      ( ~ between(X0,X1,X2)
      | between(X1,X2,extension(X0,X2,X3,X4)) ),
    inference(resolution,[],[f58,f4]) ).

fof(f843,plain,
    ! [X2,X3,X0,X1] :
      ( ~ between(X0,X1,X2)
      | between(X1,X2,X3)
      | X0 != X2 ),
    inference(resolution,[],[f58,f493]) ).

fof(f58,axiom,
    ! [X3,X10,X0,X5] :
      ( ~ between(X10,X5,X0)
      | ~ between(X10,X3,X5)
      | between(X3,X5,X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',b5) ).

fof(f837,plain,
    ! [X0,X1] :
      ( lower_dimension_point_1 != reflection(X1,X1)
      | lower_dimension_point_2 != X0
      | reflection(X0,lower_dimension_point_2) != X1 ),
    inference(superposition,[],[f825,f126]) ).

fof(f834,plain,
    ! [X0,X1] :
      ( lower_dimension_point_1 != reflection(X1,lower_dimension_point_2)
      | lower_dimension_point_2 != X0
      | X0 != X1 ),
    inference(superposition,[],[f825,f610]) ).

fof(f833,plain,
    ! [X0,X1] :
      ( lower_dimension_point_1 != reflection(X1,lower_dimension_point_2)
      | lower_dimension_point_2 != X0
      | X0 != X1 ),
    inference(superposition,[],[f825,f610]) ).

fof(f825,plain,
    ! [X0] :
      ( lower_dimension_point_1 != reflection(X0,lower_dimension_point_2)
      | lower_dimension_point_2 != X0 ),
    inference(superposition,[],[f786,f48]) ).

fof(f827,plain,
    ! [X0] :
      ( lower_dimension_point_2 != X0
      | lower_dimension_point_1 != X0 ),
    inference(trivial_inequality_removal,[],[f824]) ).

fof(f824,plain,
    ! [X0] :
      ( lower_dimension_point_2 != lower_dimension_point_2
      | lower_dimension_point_1 != X0
      | lower_dimension_point_2 != X0 ),
    inference(superposition,[],[f786,f114]) ).

fof(f826,plain,
    ! [X0,X1] :
      ( lower_dimension_point_2 != reflection(X1,X1)
      | lower_dimension_point_1 != X0
      | reflection(X0,lower_dimension_point_2) != X1 ),
    inference(superposition,[],[f786,f126]) ).

fof(f823,plain,
    ! [X0,X1] :
      ( lower_dimension_point_2 != reflection(X1,lower_dimension_point_2)
      | lower_dimension_point_1 != X0
      | X0 != X1 ),
    inference(superposition,[],[f786,f610]) ).

fof(f822,plain,
    ! [X0,X1] :
      ( lower_dimension_point_2 != reflection(X1,lower_dimension_point_2)
      | lower_dimension_point_1 != X0
      | X0 != X1 ),
    inference(superposition,[],[f786,f610]) ).

fof(f786,plain,
    ! [X0] :
      ( lower_dimension_point_2 != reflection(X0,lower_dimension_point_2)
      | lower_dimension_point_1 != X0 ),
    inference(superposition,[],[f176,f610]) ).

fof(f819,plain,
    ! [X0] :
      ( lower_dimension_point_2 != reflection(X0,lower_dimension_point_2)
      | lower_dimension_point_1 != X0 ),
    inference(superposition,[],[f176,f610]) ).

fof(f818,plain,
    ! [X0,X1] :
      ( reflection(X0,lower_dimension_point_2) != X1
      | lower_dimension_point_2 != reflection(X1,X1)
      | lower_dimension_point_1 != X0 ),
    inference(superposition,[],[f178,f610]) ).

fof(f817,plain,
    ! [X0] :
      ( lower_dimension_point_2 != reflection(reflection(X0,lower_dimension_point_2),reflection(X0,lower_dimension_point_2))
      | lower_dimension_point_1 != X0 ),
    inference(superposition,[],[f623,f610]) ).

fof(f816,plain,
    ! [X0,X1] :
      ( reflection(X0,lower_dimension_point_2) != X1
      | lower_dimension_point_2 != X1
      | lower_dimension_point_1 != X0 ),
    inference(superposition,[],[f626,f610]) ).

fof(f815,plain,
    ! [X0] :
      ( lower_dimension_point_2 != reflection(X0,reflection(lower_dimension_point_1,lower_dimension_point_2))
      | reflection(lower_dimension_point_1,lower_dimension_point_2) != X0 ),
    inference(superposition,[],[f623,f610]) ).

fof(f813,plain,
    ! [X2,X0,X1] :
      ( insertion(X0,reflection(X2,X1),X0,X1) = X1
      | X0 != X2 ),
    inference(superposition,[],[f711,f610]) ).

fof(f812,plain,
    ! [X2,X0,X1] :
      ( ~ between(reflection(X2,X1),X0,X1)
      | X0 = X1
      | X0 != X2 ),
    inference(superposition,[],[f667,f610]) ).

fof(f811,plain,
    ! [X2,X0,X1] :
      ( ~ between(X1,X0,reflection(X2,X1))
      | X0 = X1
      | X0 != X2 ),
    inference(superposition,[],[f577,f610]) ).

fof(f810,plain,
    ! [X2,X0,X1] :
      ( reflection(X2,X1) != X0
      | X0 = X1
      | X0 != X2 ),
    inference(superposition,[],[f461,f610]) ).

fof(f809,plain,
    ! [X2,X3,X0,X1] :
      ( reflection(X2,X1) != X0
      | between(X3,X1,X0)
      | X0 != X2 ),
    inference(superposition,[],[f460,f610]) ).

fof(f808,plain,
    ! [X2,X0,X1] :
      ( equidistant(X1,reflection(X2,X1),X1,X0)
      | X0 != X2 ),
    inference(superposition,[],[f246,f610]) ).

fof(f807,plain,
    ! [X2,X0,X1] :
      ( equidistant(reflection(X2,X1),X1,X0,X1)
      | X0 != X2 ),
    inference(superposition,[],[f244,f610]) ).

fof(f806,plain,
    ! [X2,X0,X1] :
      ( equidistant(X0,X1,reflection(X2,X1),X1)
      | X0 != X2 ),
    inference(superposition,[],[f242,f610]) ).

fof(f805,plain,
    ! [X2,X0,X1] :
      ( equidistant(X1,X0,X1,reflection(X2,X1))
      | X0 != X2 ),
    inference(superposition,[],[f239,f610]) ).

fof(f804,plain,
    ! [X2,X0,X1] :
      ( equidistant(X0,X1,X1,reflection(X2,X1))
      | X0 != X2 ),
    inference(superposition,[],[f206,f610]) ).

fof(f803,plain,
    ! [X2,X0,X1] :
      ( equidistant(reflection(X2,X1),X1,X1,X0)
      | X0 != X2 ),
    inference(superposition,[],[f204,f610]) ).

fof(f802,plain,
    ! [X2,X3,X0,X1] :
      ( between(X3,X1,reflection(X2,X1))
      | X0 != X3
      | X0 != X2 ),
    inference(superposition,[],[f194,f610]) ).

fof(f801,plain,
    ! [X2,X3,X0,X1] :
      ( between(reflection(X2,X1),X1,X3)
      | X0 != X3
      | X0 != X2 ),
    inference(superposition,[],[f187,f610]) ).

fof(f800,plain,
    ! [X2,X3,X0,X1] :
      ( reflection(X2,X1) != X3
      | between(X3,X1,X0)
      | X0 != X2 ),
    inference(superposition,[],[f168,f610]) ).

fof(f799,plain,
    ! [X2,X3,X0,X1] :
      ( reflection(X2,X1) != X3
      | reflection(X3,X1) = X0
      | X0 != X2 ),
    inference(superposition,[],[f166,f610]) ).

fof(f798,plain,
    ! [X2,X3,X0,X1] :
      ( reflection(X2,X1) != X3
      | between(X0,X1,X3)
      | X0 != X2 ),
    inference(superposition,[],[f164,f610]) ).

fof(f797,plain,
    ! [X2,X0,X1] :
      ( reflection(X2,X1) = X1
      | X0 != X1
      | X0 != X2 ),
    inference(superposition,[],[f114,f610]) ).

fof(f795,plain,
    ! [X2,X0,X1] :
      ( equidistant(X1,X0,reflection(X2,X1),X1)
      | X0 != X2 ),
    inference(superposition,[],[f102,f610]) ).

fof(f794,plain,
    ! [X2,X0,X1] :
      ( reflection(reflection(X2,X1),X1) = X0
      | X0 != X2 ),
    inference(superposition,[],[f48,f610]) ).

fof(f793,plain,
    ! [X2,X0,X1] :
      ( reflection(X2,X1) != X1
      | X0 = X1
      | X0 != X2 ),
    inference(superposition,[],[f40,f610]) ).

fof(f792,plain,
    ! [X2,X0,X1] :
      ( equidistant(X1,reflection(X2,X1),X0,X1)
      | X0 != X2 ),
    inference(superposition,[],[f37,f610]) ).

fof(f789,plain,
    ! [X2,X0,X1] :
      ( reflection(X1,X0) = X2
      | X0 != X2
      | X0 != X1 ),
    inference(superposition,[],[f126,f610]) ).

fof(f788,plain,
    ! [X2,X0,X1] :
      ( reflection(X1,X0) != X2
      | reflection(X2,X2) = X0
      | X0 != X1 ),
    inference(superposition,[],[f152,f610]) ).

fof(f787,plain,
    ! [X2,X0,X1] :
      ( reflection(X1,X0) != X2
      | X0 = X2
      | X0 != X1 ),
    inference(superposition,[],[f594,f610]) ).

fof(f785,plain,
    ! [X0,X1] :
      ( reflection(X0,lower_dimension_point_2) != X1
      | lower_dimension_point_2 != reflection(X1,X1)
      | lower_dimension_point_1 != X0 ),
    inference(superposition,[],[f178,f610]) ).

fof(f784,plain,
    ! [X0] :
      ( lower_dimension_point_2 != reflection(reflection(X0,lower_dimension_point_2),reflection(X0,lower_dimension_point_2))
      | lower_dimension_point_1 != X0 ),
    inference(superposition,[],[f623,f610]) ).

fof(f783,plain,
    ! [X0,X1] :
      ( reflection(X0,lower_dimension_point_2) != X1
      | lower_dimension_point_2 != X1
      | lower_dimension_point_1 != X0 ),
    inference(superposition,[],[f626,f610]) ).

fof(f782,plain,
    ! [X0] :
      ( lower_dimension_point_2 != reflection(X0,reflection(lower_dimension_point_1,lower_dimension_point_2))
      | reflection(lower_dimension_point_1,lower_dimension_point_2) != X0 ),
    inference(superposition,[],[f623,f610]) ).

fof(f780,plain,
    ! [X2,X0,X1] :
      ( insertion(X0,reflection(X2,X1),X0,X1) = X1
      | X0 != X2 ),
    inference(superposition,[],[f711,f610]) ).

fof(f779,plain,
    ! [X2,X0,X1] :
      ( ~ between(reflection(X2,X1),X0,X1)
      | X0 = X1
      | X0 != X2 ),
    inference(superposition,[],[f667,f610]) ).

fof(f778,plain,
    ! [X2,X0,X1] :
      ( ~ between(X1,X0,reflection(X2,X1))
      | X0 = X1
      | X0 != X2 ),
    inference(superposition,[],[f577,f610]) ).

fof(f777,plain,
    ! [X2,X0,X1] :
      ( reflection(X2,X1) != X0
      | X0 = X1
      | X0 != X2 ),
    inference(superposition,[],[f461,f610]) ).

fof(f776,plain,
    ! [X2,X3,X0,X1] :
      ( reflection(X2,X1) != X0
      | between(X3,X1,X0)
      | X0 != X2 ),
    inference(superposition,[],[f460,f610]) ).

fof(f769,plain,
    ! [X2,X3,X0,X1] :
      ( between(X3,X1,reflection(X2,X1))
      | X0 != X3
      | X0 != X2 ),
    inference(superposition,[],[f194,f610]) ).

fof(f768,plain,
    ! [X2,X3,X0,X1] :
      ( between(reflection(X2,X1),X1,X3)
      | X0 != X3
      | X0 != X2 ),
    inference(superposition,[],[f187,f610]) ).

fof(f767,plain,
    ! [X2,X3,X0,X1] :
      ( reflection(X2,X1) != X3
      | between(X3,X1,X0)
      | X0 != X2 ),
    inference(superposition,[],[f168,f610]) ).

fof(f766,plain,
    ! [X2,X3,X0,X1] :
      ( reflection(X2,X1) != X3
      | reflection(X3,X1) = X0
      | X0 != X2 ),
    inference(superposition,[],[f166,f610]) ).

fof(f765,plain,
    ! [X2,X3,X0,X1] :
      ( reflection(X2,X1) != X3
      | between(X0,X1,X3)
      | X0 != X2 ),
    inference(superposition,[],[f164,f610]) ).

fof(f764,plain,
    ! [X2,X0,X1] :
      ( reflection(X2,X1) = X1
      | X0 != X1
      | X0 != X2 ),
    inference(superposition,[],[f114,f610]) ).

fof(f760,plain,
    ! [X2,X0,X1] :
      ( reflection(X2,X1) != X1
      | X0 = X1
      | X0 != X2 ),
    inference(superposition,[],[f40,f610]) ).

fof(f756,plain,
    ! [X2,X0,X1] :
      ( reflection(X1,X0) = X2
      | X0 != X2
      | X0 != X1 ),
    inference(superposition,[],[f126,f610]) ).

fof(f755,plain,
    ! [X2,X0,X1] :
      ( reflection(X1,X0) != X2
      | reflection(X2,X2) = X0
      | X0 != X1 ),
    inference(superposition,[],[f152,f610]) ).

fof(f754,plain,
    ! [X2,X0,X1] :
      ( reflection(X1,X0) != X2
      | X0 = X2
      | X0 != X1 ),
    inference(superposition,[],[f594,f610]) ).

fof(f753,plain,
    ! [X2,X3,X0,X1] :
      ( reflection(X2,X2) = reflection(X3,X1)
      | X0 != X3
      | reflection(X0,X1) != X2 ),
    inference(superposition,[],[f610,f126]) ).

fof(f751,plain,
    ! [X2,X0,X1] :
      ( reflection(X2,X1) = X1
      | X0 != X2
      | X0 != X1 ),
    inference(superposition,[],[f610,f114]) ).

fof(f750,plain,
    ! [X2,X3,X0,X1] :
      ( reflection(X2,X1) = reflection(X3,X1)
      | X0 != X3
      | X0 != X2 ),
    inference(superposition,[],[f610,f610]) ).

fof(f749,plain,
    ! [X2,X3,X0,X1] :
      ( reflection(X2,X1) = reflection(X3,X1)
      | X0 != X3
      | X0 != X2 ),
    inference(superposition,[],[f610,f610]) ).

fof(f747,plain,
    ! [X2,X0,X1] :
      ( reflection(X2,X0) = X1
      | X0 != X2
      | X0 != X1 ),
    inference(superposition,[],[f610,f126]) ).

fof(f746,plain,
    ! [X2,X3,X0,X1] :
      ( reflection(X2,X2) = reflection(X3,X1)
      | X0 != X3
      | reflection(X0,X1) != X2 ),
    inference(superposition,[],[f610,f126]) ).

fof(f744,plain,
    ! [X2,X0,X1] :
      ( reflection(X2,X1) = X1
      | X0 != X2
      | X0 != X1 ),
    inference(superposition,[],[f610,f114]) ).

fof(f743,plain,
    ! [X2,X3,X0,X1] :
      ( reflection(X2,X1) = reflection(X3,X1)
      | X0 != X3
      | X0 != X2 ),
    inference(superposition,[],[f610,f610]) ).

fof(f742,plain,
    ! [X2,X3,X0,X1] :
      ( reflection(X2,X1) = reflection(X3,X1)
      | X0 != X3
      | X0 != X2 ),
    inference(superposition,[],[f610,f610]) ).

fof(f740,plain,
    ! [X2,X0,X1] :
      ( reflection(X2,X0) = X1
      | X0 != X2
      | X0 != X1 ),
    inference(superposition,[],[f610,f126]) ).

fof(f610,plain,
    ! [X2,X0,X1] :
      ( reflection(X0,X1) = reflection(X2,X1)
      | X0 != X2 ),
    inference(superposition,[],[f166,f48]) ).

fof(f730,plain,
    ! [X2,X0,X1] :
      ( reflection(X2,X2) = X1
      | insertion(X0,reflection(X0,X1),X0,X1) != X2 ),
    inference(superposition,[],[f711,f126]) ).

fof(f739,plain,
    ! [X2,X0,X1] :
      ( insertion(X0,X2,X0,X1) = X1
      | reflection(X0,X1) != X2 ),
    inference(forward_demodulation,[],[f729,f39]) ).

fof(f729,plain,
    ! [X2,X0,X1] :
      ( insertion(X0,reflection(X2,X2),X0,X1) = X1
      | reflection(X0,X1) != X2 ),
    inference(superposition,[],[f711,f126]) ).

fof(f728,plain,
    ! [X0,X1] : insertion(reflection(X0,X1),X0,reflection(X0,X1),X1) = X1,
    inference(superposition,[],[f711,f48]) ).

fof(f711,plain,
    ! [X0,X1] : insertion(X0,reflection(X0,X1),X0,X1) = X1,
    inference(resolution,[],[f78,f36]) ).

fof(f716,plain,
    ! [X2,X0,X1] :
      ( reflection(X2,X2) = X1
      | insertion(X0,X1,X0,X1) != X2 ),
    inference(superposition,[],[f706,f126]) ).

fof(f706,plain,
    ! [X0,X1] : insertion(X0,X1,X0,X1) = X1,
    inference(resolution,[],[f78,f49]) ).

fof(f715,plain,
    ! [X2,X3,X0,X1] : insertion(extension(X0,X1,X2,X3),X0,extension(X0,X1,X2,X3),X1) = X1,
    inference(resolution,[],[f78,f118]) ).

fof(f714,plain,
    ! [X2,X0,X1] :
      ( insertion(reflection(X0,X1),X2,reflection(X0,X1),X1) = X1
      | X0 != X2 ),
    inference(resolution,[],[f78,f187]) ).

fof(f713,plain,
    ! [X0,X1] : insertion(reflection(X0,X1),X0,reflection(X0,X1),X1) = X1,
    inference(resolution,[],[f78,f103]) ).

fof(f712,plain,
    ! [X2,X0,X1] :
      ( insertion(X0,reflection(X1,X2),X0,X2) = X2
      | X0 != X1 ),
    inference(resolution,[],[f78,f194]) ).

fof(f78,axiom,
    ! [X3,X10,X5] :
      ( ~ between(X10,X3,X5)
      | insertion(X10,X5,X10,X3) = X3 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i3) ).

fof(f280,plain,
    ! [X2,X0,X1] :
      ( equidistant(X1,X2,X1,X0)
      | reflection(X0,X1) != X2 ),
    inference(forward_demodulation,[],[f279,f39]) ).

fof(f279,plain,
    ! [X2,X0,X1] :
      ( equidistant(X1,reflection(X2,X2),X1,X0)
      | reflection(X0,X1) != X2 ),
    inference(superposition,[],[f246,f126]) ).

fof(f697,plain,
    ! [X2,X0,X1] :
      ( reflection(X0,X1) != X2
      | equidistant(X1,X2,X1,X0) ),
    inference(resolution,[],[f271,f32]) ).

fof(f271,plain,
    ! [X2,X0,X1] :
      ( equidistant(X0,X1,X2,X1)
      | reflection(X0,X1) != X2 ),
    inference(forward_demodulation,[],[f270,f39]) ).

fof(f270,plain,
    ! [X2,X0,X1] :
      ( equidistant(X0,X1,reflection(X2,X2),X1)
      | reflection(X0,X1) != X2 ),
    inference(superposition,[],[f242,f126]) ).

fof(f686,plain,
    ! [X2,X0,X1] :
      ( reflection(X0,X1) != X2
      | equidistant(X0,X1,X2,X1) ),
    inference(resolution,[],[f263,f29]) ).

fof(f683,plain,
    ! [X2,X0,X1] :
      ( reflection(X0,X1) != X2
      | equidistant(X1,X2,X1,X0) ),
    inference(resolution,[],[f263,f26]) ).

fof(f263,plain,
    ! [X2,X0,X1] :
      ( equidistant(X1,X0,X1,X2)
      | reflection(X0,X1) != X2 ),
    inference(forward_demodulation,[],[f262,f39]) ).

fof(f262,plain,
    ! [X2,X0,X1] :
      ( equidistant(X1,X0,X1,reflection(X2,X2))
      | reflection(X0,X1) != X2 ),
    inference(superposition,[],[f239,f126]) ).

fof(f681,plain,
    ! [X2,X0,X1] :
      ( ~ between(X2,X0,X1)
      | X0 = X1
      | reflection(X0,X1) != X2 ),
    inference(forward_demodulation,[],[f680,f39]) ).

fof(f680,plain,
    ! [X2,X0,X1] :
      ( ~ between(reflection(X2,X2),X0,X1)
      | X0 = X1
      | reflection(X0,X1) != X2 ),
    inference(superposition,[],[f667,f126]) ).

fof(f679,plain,
    ! [X0,X1] :
      ( ~ between(X0,reflection(X0,X1),X1)
      | reflection(X0,X1) = X1 ),
    inference(superposition,[],[f667,f48]) ).

fof(f675,plain,
    ! [X0,X1] :
      ( reflection(X1,X0) = X0
      | reflection(X0,reflection(X1,X0)) != X1 ),
    inference(resolution,[],[f667,f194]) ).

fof(f667,plain,
    ! [X0,X1] :
      ( ~ between(reflection(X0,X1),X0,X1)
      | X0 = X1 ),
    inference(resolution,[],[f54,f103]) ).

fof(f669,plain,
    ! [X2,X3,X0,X1] :
      ( X0 = X1
      | ~ between(extension(X0,X1,X2,X3),X0,X1) ),
    inference(resolution,[],[f54,f118]) ).

fof(f668,plain,
    ! [X2,X0,X1] :
      ( X0 = X1
      | ~ between(reflection(X2,X1),X0,X1)
      | X0 != X2 ),
    inference(resolution,[],[f54,f187]) ).

fof(f666,plain,
    ! [X2,X0,X1] :
      ( reflection(X0,X1) = X1
      | ~ between(X2,reflection(X0,X1),X1)
      | X0 != X2 ),
    inference(resolution,[],[f54,f194]) ).

fof(f664,plain,
    ! [X2,X3,X0,X1] :
      ( extension(X0,X1,X2,X3) = X1
      | ~ between(X0,extension(X0,X1,X2,X3),X1) ),
    inference(resolution,[],[f54,f4]) ).

fof(f54,axiom,
    ! [X3,X10,X5] :
      ( ~ between(X10,X5,X3)
      | X3 = X5
      | ~ between(X10,X3,X5) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',b3) ).

fof(f659,plain,
    ! [X2,X0,X1] :
      ( reflection(X0,X1) != X2
      | equidistant(X1,X0,X1,X2) ),
    inference(resolution,[],[f255,f32]) ).

fof(f656,plain,
    ! [X2,X0,X1] :
      ( reflection(X0,X1) != X2
      | equidistant(X1,X2,X1,X0) ),
    inference(resolution,[],[f255,f29]) ).

fof(f653,plain,
    ! [X2,X0,X1] :
      ( reflection(X0,X1) != X2
      | equidistant(X0,X1,X2,X1) ),
    inference(resolution,[],[f255,f26]) ).

fof(f255,plain,
    ! [X2,X0,X1] :
      ( equidistant(X2,X1,X0,X1)
      | reflection(X0,X1) != X2 ),
    inference(forward_demodulation,[],[f254,f39]) ).

fof(f254,plain,
    ! [X2,X0,X1] :
      ( equidistant(reflection(X2,X2),X1,X0,X1)
      | reflection(X0,X1) != X2 ),
    inference(superposition,[],[f244,f126]) ).

fof(f650,plain,
    ! [X2,X0,X1] :
      ( reflection(X0,X1) != X2
      | equidistant(X0,X1,X2,X1) ),
    inference(resolution,[],[f221,f31]) ).

fof(f649,plain,
    ! [X2,X0,X1] :
      ( reflection(X0,X1) != X2
      | equidistant(X1,X0,X1,X2) ),
    inference(resolution,[],[f221,f30]) ).

fof(f647,plain,
    ! [X2,X0,X1] :
      ( reflection(X0,X1) != X2
      | equidistant(X2,X1,X0,X1) ),
    inference(resolution,[],[f221,f28]) ).

fof(f646,plain,
    ! [X2,X0,X1] :
      ( reflection(X0,X1) != X2
      | equidistant(X1,X2,X1,X0) ),
    inference(resolution,[],[f221,f27]) ).

fof(f221,plain,
    ! [X2,X0,X1] :
      ( equidistant(X2,X1,X1,X0)
      | reflection(X0,X1) != X2 ),
    inference(forward_demodulation,[],[f220,f39]) ).

fof(f220,plain,
    ! [X2,X0,X1] :
      ( equidistant(reflection(X2,X2),X1,X1,X0)
      | reflection(X0,X1) != X2 ),
    inference(superposition,[],[f204,f126]) ).

fof(f643,plain,
    ! [X2,X0,X1] :
      ( reflection(X0,X1) != X2
      | equidistant(X2,X1,X1,X0) ),
    inference(resolution,[],[f213,f32]) ).

fof(f642,plain,
    ! [X2,X0,X1] :
      ( reflection(X0,X1) != X2
      | equidistant(X2,X1,X0,X1) ),
    inference(resolution,[],[f213,f31]) ).

fof(f641,plain,
    ! [X2,X0,X1] :
      ( reflection(X0,X1) != X2
      | equidistant(X1,X2,X1,X0) ),
    inference(resolution,[],[f213,f30]) ).

fof(f639,plain,
    ! [X2,X0,X1] :
      ( reflection(X0,X1) != X2
      | equidistant(X0,X1,X2,X1) ),
    inference(resolution,[],[f213,f28]) ).

fof(f638,plain,
    ! [X2,X0,X1] :
      ( reflection(X0,X1) != X2
      | equidistant(X1,X0,X1,X2) ),
    inference(resolution,[],[f213,f27]) ).

fof(f213,plain,
    ! [X2,X0,X1] :
      ( equidistant(X0,X1,X1,X2)
      | reflection(X0,X1) != X2 ),
    inference(forward_demodulation,[],[f212,f39]) ).

fof(f212,plain,
    ! [X2,X0,X1] :
      ( equidistant(X0,X1,X1,reflection(X2,X2))
      | reflection(X0,X1) != X2 ),
    inference(superposition,[],[f206,f126]) ).

fof(f633,plain,
    ! [X0,X1] :
      ( reflection(X0,X0) != X1
      | lower_dimension_point_2 != X1
      | reflection(lower_dimension_point_1,lower_dimension_point_2) != X0 ),
    inference(superposition,[],[f626,f126]) ).

fof(f626,plain,
    ! [X0] :
      ( reflection(lower_dimension_point_1,lower_dimension_point_2) != X0
      | lower_dimension_point_2 != X0 ),
    inference(superposition,[],[f623,f126]) ).

fof(f629,plain,
    ! [X0] :
      ( lower_dimension_point_2 != reflection(X0,X0)
      | reflection(reflection(lower_dimension_point_1,lower_dimension_point_2),reflection(lower_dimension_point_1,lower_dimension_point_2)) != X0 ),
    inference(superposition,[],[f623,f126]) ).

fof(f623,plain,
    lower_dimension_point_2 != reflection(reflection(lower_dimension_point_1,lower_dimension_point_2),reflection(lower_dimension_point_1,lower_dimension_point_2)),
    inference(equality_resolution,[],[f178]) ).

fof(f622,plain,
    ! [X0,X1] :
      ( reflection(X0,X0) != X1
      | lower_dimension_point_2 != reflection(X1,X1)
      | reflection(lower_dimension_point_1,lower_dimension_point_2) != X0 ),
    inference(superposition,[],[f178,f126]) ).

fof(f178,plain,
    ! [X0] :
      ( reflection(lower_dimension_point_1,lower_dimension_point_2) != X0
      | lower_dimension_point_2 != reflection(X0,X0) ),
    inference(superposition,[],[f176,f126]) ).

fof(f619,plain,
    ! [X2,X0,X1] :
      ( reflection(X0,X1) != X2
      | equidistant(X1,X2,X1,X0) ),
    inference(resolution,[],[f167,f31]) ).

fof(f618,plain,
    ! [X2,X0,X1] :
      ( reflection(X0,X1) != X2
      | equidistant(X2,X1,X0,X1) ),
    inference(resolution,[],[f167,f30]) ).

fof(f617,plain,
    ! [X2,X0,X1] :
      ( reflection(X0,X1) != X2
      | equidistant(X0,X1,X1,X2) ),
    inference(resolution,[],[f167,f29]) ).

fof(f616,plain,
    ! [X2,X0,X1] :
      ( reflection(X0,X1) != X2
      | equidistant(X1,X0,X1,X2) ),
    inference(resolution,[],[f167,f28]) ).

fof(f615,plain,
    ! [X2,X0,X1] :
      ( reflection(X0,X1) != X2
      | equidistant(X0,X1,X2,X1) ),
    inference(resolution,[],[f167,f27]) ).

fof(f614,plain,
    ! [X2,X0,X1] :
      ( reflection(X0,X1) != X2
      | equidistant(X2,X1,X1,X0) ),
    inference(resolution,[],[f167,f26]) ).

fof(f167,plain,
    ! [X2,X0,X1] :
      ( equidistant(X1,X0,X2,X1)
      | reflection(X0,X1) != X2 ),
    inference(forward_demodulation,[],[f157,f39]) ).

fof(f157,plain,
    ! [X2,X0,X1] :
      ( equidistant(X1,X0,reflection(X2,X2),X1)
      | reflection(X0,X1) != X2 ),
    inference(superposition,[],[f102,f126]) ).

fof(f611,plain,
    ! [X2,X3,X0,X1] :
      ( reflection(X2,X2) != X3
      | reflection(X3,X1) = X0
      | reflection(X0,X1) != X2 ),
    inference(superposition,[],[f166,f126]) ).

fof(f609,plain,
    ! [X2,X0,X1] :
      ( X1 != X2
      | reflection(X2,X1) = X0
      | X0 != X1 ),
    inference(superposition,[],[f166,f114]) ).

fof(f607,plain,
    ! [X2,X0,X1] :
      ( X1 != X2
      | reflection(X2,X0) = X0
      | X0 != X1 ),
    inference(superposition,[],[f166,f126]) ).

fof(f166,plain,
    ! [X2,X0,X1] :
      ( reflection(X0,X1) != X2
      | reflection(X2,X1) = X0 ),
    inference(forward_demodulation,[],[f156,f39]) ).

fof(f156,plain,
    ! [X2,X0,X1] :
      ( reflection(reflection(X2,X2),X1) = X0
      | reflection(X0,X1) != X2 ),
    inference(superposition,[],[f48,f126]) ).

fof(f605,plain,
    ! [X2,X0,X1] :
      ( reflection(X1,X1) != X2
      | X0 = X2
      | reflection(X0,X0) != X1 ),
    inference(superposition,[],[f594,f126]) ).

fof(f594,plain,
    ! [X0,X1] :
      ( reflection(X0,X0) != X1
      | X0 = X1 ),
    inference(resolution,[],[f165,f3]) ).

fof(f601,plain,
    ! [X2,X0,X1] :
      ( reflection(X0,X1) != X2
      | equidistant(X1,X0,X2,X1) ),
    inference(resolution,[],[f165,f32]) ).

fof(f600,plain,
    ! [X2,X0,X1] :
      ( reflection(X0,X1) != X2
      | equidistant(X1,X0,X1,X2) ),
    inference(resolution,[],[f165,f31]) ).

fof(f599,plain,
    ! [X2,X0,X1] :
      ( reflection(X0,X1) != X2
      | equidistant(X0,X1,X2,X1) ),
    inference(resolution,[],[f165,f30]) ).

fof(f598,plain,
    ! [X2,X0,X1] :
      ( reflection(X0,X1) != X2
      | equidistant(X2,X1,X1,X0) ),
    inference(resolution,[],[f165,f29]) ).

fof(f597,plain,
    ! [X2,X0,X1] :
      ( reflection(X0,X1) != X2
      | equidistant(X1,X2,X1,X0) ),
    inference(resolution,[],[f165,f28]) ).

fof(f596,plain,
    ! [X2,X0,X1] :
      ( reflection(X0,X1) != X2
      | equidistant(X2,X1,X0,X1) ),
    inference(resolution,[],[f165,f27]) ).

fof(f595,plain,
    ! [X2,X0,X1] :
      ( reflection(X0,X1) != X2
      | equidistant(X0,X1,X1,X2) ),
    inference(resolution,[],[f165,f26]) ).

fof(f165,plain,
    ! [X2,X0,X1] :
      ( equidistant(X1,X2,X0,X1)
      | reflection(X0,X1) != X2 ),
    inference(forward_demodulation,[],[f154,f39]) ).

fof(f154,plain,
    ! [X2,X0,X1] :
      ( equidistant(X1,reflection(X2,X2),X0,X1)
      | reflection(X0,X1) != X2 ),
    inference(superposition,[],[f37,f126]) ).

fof(f593,plain,
    ! [X2,X0,X1] :
      ( ~ between(X1,X0,X2)
      | X0 = X1
      | reflection(X0,X1) != X2 ),
    inference(forward_demodulation,[],[f592,f39]) ).

fof(f592,plain,
    ! [X2,X0,X1] :
      ( ~ between(X1,X0,reflection(X2,X2))
      | X0 = X1
      | reflection(X0,X1) != X2 ),
    inference(superposition,[],[f577,f126]) ).

fof(f591,plain,
    ! [X0,X1] :
      ( ~ between(X1,reflection(X0,X1),X0)
      | reflection(X0,X1) = X1 ),
    inference(superposition,[],[f577,f48]) ).

fof(f587,plain,
    ! [X0,X1] :
      ( reflection(X0,X1) = X1
      | reflection(X1,reflection(X0,X1)) != X0 ),
    inference(resolution,[],[f577,f187]) ).

fof(f577,plain,
    ! [X0,X1] :
      ( ~ between(X0,X1,reflection(X1,X0))
      | X0 = X1 ),
    inference(resolution,[],[f53,f36]) ).

fof(f581,plain,
    ! [X2,X3,X0,X1] :
      ( ~ between(X0,extension(X1,X0,X2,X3),X1)
      | extension(X1,X0,X2,X3) = X0 ),
    inference(resolution,[],[f53,f118]) ).

fof(f580,plain,
    ! [X2,X0,X1] :
      ( ~ between(X0,reflection(X1,X0),X2)
      | reflection(X1,X0) = X0
      | X1 != X2 ),
    inference(resolution,[],[f53,f187]) ).

fof(f579,plain,
    ! [X0,X1] :
      ( ~ between(X0,reflection(X1,X0),X1)
      | reflection(X1,X0) = X0 ),
    inference(resolution,[],[f53,f103]) ).

fof(f578,plain,
    ! [X2,X0,X1] :
      ( ~ between(X0,X1,reflection(X2,X0))
      | X0 = X1
      | X1 != X2 ),
    inference(resolution,[],[f53,f194]) ).

fof(f53,axiom,
    ! [X3,X10,X5] :
      ( ~ between(X10,X3,X5)
      | ~ between(X3,X10,X5)
      | X3 = X10 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',b2) ).

fof(f568,plain,
    ! [X2,X0,X1] :
      ( reflection(X1,X1) != X2
      | reflection(X2,X2) = X0
      | reflection(X0,X0) != X1 ),
    inference(superposition,[],[f152,f126]) ).

fof(f565,plain,
    ! [X2,X0,X1] :
      ( X1 != X2
      | reflection(X2,X2) = X0
      | X0 != X1 ),
    inference(superposition,[],[f152,f126]) ).

fof(f152,plain,
    ! [X0,X1] :
      ( reflection(X0,X0) != X1
      | reflection(X1,X1) = X0 ),
    inference(superposition,[],[f39,f126]) ).

fof(f32,axiom,
    ! [X3,X10,X0,X5] :
      ( ~ equidistant(X10,X3,X5,X0)
      | equidistant(X0,X5,X3,X10) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d4_5) ).

fof(f31,axiom,
    ! [X3,X10,X0,X5] :
      ( ~ equidistant(X10,X3,X5,X0)
      | equidistant(X0,X5,X10,X3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d4_4) ).

fof(f493,plain,
    ! [X2,X0,X1] :
      ( between(X0,X1,X2)
      | X0 != X1 ),
    inference(resolution,[],[f486,f51]) ).

fof(f486,plain,
    ! [X2,X0,X1] :
      ( between(X2,X1,X0)
      | X0 != X1 ),
    inference(duplicate_literal_removal,[],[f483]) ).

fof(f483,plain,
    ! [X2,X0,X1] :
      ( X0 != X1
      | between(X2,X1,X0)
      | X0 != X1 ),
    inference(superposition,[],[f460,f114]) ).

fof(f490,plain,
    ! [X2,X3,X0,X1] :
      ( X0 != X2
      | between(X3,X1,X0)
      | reflection(X0,X1) != X2 ),
    inference(forward_demodulation,[],[f485,f39]) ).

fof(f485,plain,
    ! [X2,X3,X0,X1] :
      ( reflection(X2,X2) != X0
      | between(X3,X1,X0)
      | reflection(X0,X1) != X2 ),
    inference(superposition,[],[f460,f126]) ).

fof(f484,plain,
    ! [X2,X0,X1] :
      ( reflection(X0,X1) != X0
      | between(X2,X1,reflection(X0,X1)) ),
    inference(superposition,[],[f460,f48]) ).

fof(f460,plain,
    ! [X2,X0,X1] :
      ( reflection(X0,X1) != X0
      | between(X2,X1,X0) ),
    inference(inner_rewriting,[],[f452]) ).

fof(f480,plain,
    ! [X2,X3,X0,X1] :
      ( between(X3,X1,X2)
      | X0 != X3
      | reflection(X0,X1) != X2 ),
    inference(forward_demodulation,[],[f477,f39]) ).

fof(f477,plain,
    ! [X2,X3,X0,X1] :
      ( between(X3,X1,reflection(X2,X2))
      | X0 != X3
      | reflection(X0,X1) != X2 ),
    inference(superposition,[],[f194,f126]) ).

fof(f473,plain,
    ! [X2,X0,X1] :
      ( between(X2,X0,X1)
      | X0 != X2
      | X0 != X1 ),
    inference(superposition,[],[f194,f126]) ).

fof(f471,plain,
    ! [X0,X1] :
      ( reflection(X0,X1) != X0
      | reflection(X0,X1) = X1 ),
    inference(resolution,[],[f194,f7]) ).

fof(f478,plain,
    ! [X2,X0,X1] :
      ( reflection(X0,X1) != X0
      | between(X2,X1,X0) ),
    inference(inner_rewriting,[],[f470]) ).

fof(f470,plain,
    ! [X2,X0,X1] :
      ( reflection(X0,X1) != X0
      | between(X2,X1,reflection(X0,X1)) ),
    inference(resolution,[],[f194,f95]) ).

fof(f194,plain,
    ! [X2,X0,X1] :
      ( between(X2,X1,reflection(X0,X1))
      | X0 != X2 ),
    inference(superposition,[],[f168,f48]) ).

fof(f467,plain,
    ! [X2,X0,X1] :
      ( reflection(X2,X2) != X0
      | X0 = X1
      | reflection(X0,X1) != X2 ),
    inference(superposition,[],[f461,f126]) ).

fof(f466,plain,
    ! [X0,X1] :
      ( reflection(X0,X1) != X0
      | reflection(X0,X1) = X1 ),
    inference(superposition,[],[f461,f48]) ).

fof(f461,plain,
    ! [X0,X1] :
      ( reflection(X0,X1) != X0
      | X0 = X1 ),
    inference(inner_rewriting,[],[f453]) ).

fof(f462,plain,
    ! [X2,X3,X0,X1] :
      ( between(X2,X1,X3)
      | X0 != X3
      | reflection(X0,X1) != X2 ),
    inference(forward_demodulation,[],[f459,f39]) ).

fof(f459,plain,
    ! [X2,X3,X0,X1] :
      ( between(reflection(X2,X2),X1,X3)
      | X0 != X3
      | reflection(X0,X1) != X2 ),
    inference(superposition,[],[f187,f126]) ).

fof(f455,plain,
    ! [X2,X0,X1] :
      ( between(X1,X0,X2)
      | X0 != X2
      | X0 != X1 ),
    inference(superposition,[],[f187,f126]) ).

fof(f454,plain,
    ! [X2,X0,X1] :
      ( X0 != X1
      | between(X1,X2,reflection(X0,X2)) ),
    inference(resolution,[],[f187,f51]) ).

fof(f453,plain,
    ! [X0,X1] :
      ( reflection(X0,X1) != X0
      | reflection(X0,X1) = X1 ),
    inference(resolution,[],[f187,f7]) ).

fof(f452,plain,
    ! [X2,X0,X1] :
      ( reflection(X0,X1) != X0
      | between(X2,X1,reflection(X0,X1)) ),
    inference(resolution,[],[f187,f95]) ).

fof(f187,plain,
    ! [X2,X0,X1] :
      ( between(reflection(X0,X1),X1,X2)
      | X0 != X2 ),
    inference(superposition,[],[f164,f48]) ).

fof(f30,axiom,
    ! [X3,X10,X0,X5] :
      ( ~ equidistant(X10,X3,X5,X0)
      | equidistant(X5,X0,X3,X10) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d4_3) ).

fof(f420,plain,
    ! [X2,X3,X0,X1,X4] :
      ( equidistant(X4,X0,X3,X2)
      | insertion(X0,X1,X2,X3) != X4 ),
    inference(forward_demodulation,[],[f419,f39]) ).

fof(f419,plain,
    ! [X2,X3,X0,X1,X4] :
      ( equidistant(reflection(X4,X4),X0,X3,X2)
      | insertion(X0,X1,X2,X3) != X4 ),
    inference(superposition,[],[f398,f126]) ).

fof(f398,plain,
    ! [X2,X3,X0,X1] : equidistant(insertion(X0,X1,X2,X3),X0,X3,X2),
    inference(resolution,[],[f29,f203]) ).

fof(f412,plain,
    ! [X2,X3,X0,X1,X4] :
      ( equidistant(X3,X2,X4,X1)
      | extension(X0,X1,X2,X3) != X4 ),
    inference(forward_demodulation,[],[f411,f39]) ).

fof(f411,plain,
    ! [X2,X3,X0,X1,X4] :
      ( equidistant(X3,X2,reflection(X4,X4),X1)
      | extension(X0,X1,X2,X3) != X4 ),
    inference(superposition,[],[f387,f126]) ).

fof(f387,plain,
    ! [X2,X3,X0,X1] : equidistant(X0,X1,extension(X2,X3,X1,X0),X3),
    inference(resolution,[],[f29,f205]) ).

fof(f29,axiom,
    ! [X3,X10,X0,X5] :
      ( ~ equidistant(X10,X3,X5,X0)
      | equidistant(X3,X10,X0,X5) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d4_2) ).

fof(f375,plain,
    ! [X2,X3,X0,X1,X4] :
      ( equidistant(X4,X1,X3,X2)
      | extension(X0,X1,X2,X3) != X4 ),
    inference(forward_demodulation,[],[f374,f39]) ).

fof(f374,plain,
    ! [X2,X3,X0,X1,X4] :
      ( equidistant(reflection(X4,X4),X1,X3,X2)
      | extension(X0,X1,X2,X3) != X4 ),
    inference(superposition,[],[f319,f126]) ).

fof(f371,plain,
    ! [X2,X3,X0,X1] : equidistant(X0,X1,extension(X2,X3,X1,X0),X3),
    inference(resolution,[],[f319,f26]) ).

fof(f319,plain,
    ! [X2,X3,X0,X1] : equidistant(extension(X0,X1,X2,X3),X1,X3,X2),
    inference(resolution,[],[f28,f243]) ).

fof(f367,plain,
    ! [X2,X3,X0,X1,X4] :
      ( equidistant(X3,X2,X4,X0)
      | insertion(X0,X1,X2,X3) != X4 ),
    inference(forward_demodulation,[],[f366,f39]) ).

fof(f366,plain,
    ! [X2,X3,X0,X1,X4] :
      ( equidistant(X3,X2,reflection(X4,X4),X0)
      | insertion(X0,X1,X2,X3) != X4 ),
    inference(superposition,[],[f309,f126]) ).

fof(f364,plain,
    ! [X2,X3,X0,X1] : equidistant(insertion(X0,X1,X2,X3),X0,X3,X2),
    inference(resolution,[],[f309,f26]) ).

fof(f309,plain,
    ! [X2,X3,X0,X1] : equidistant(X0,X1,insertion(X2,X3,X1,X0),X2),
    inference(resolution,[],[f28,f241]) ).

fof(f361,plain,
    ! [X2,X3,X0,X1,X4] :
      ( equidistant(X2,X3,X4,X1)
      | extension(X0,X1,X2,X3) != X4 ),
    inference(forward_demodulation,[],[f360,f39]) ).

fof(f360,plain,
    ! [X2,X3,X0,X1,X4] :
      ( equidistant(X2,X3,reflection(X4,X4),X1)
      | extension(X0,X1,X2,X3) != X4 ),
    inference(superposition,[],[f294,f126]) ).

fof(f356,plain,
    ! [X2,X3,X0,X1] : equidistant(X0,X1,extension(X2,X3,X1,X0),X3),
    inference(resolution,[],[f294,f27]) ).

fof(f294,plain,
    ! [X2,X3,X0,X1] : equidistant(X0,X1,extension(X2,X3,X0,X1),X3),
    inference(resolution,[],[f243,f26]) ).

fof(f354,plain,
    ! [X2,X3,X0,X1,X4] :
      ( equidistant(X0,X4,X3,X2)
      | insertion(X0,X1,X2,X3) != X4 ),
    inference(forward_demodulation,[],[f353,f39]) ).

fof(f353,plain,
    ! [X2,X3,X0,X1,X4] :
      ( equidistant(X0,reflection(X4,X4),X3,X2)
      | insertion(X0,X1,X2,X3) != X4 ),
    inference(superposition,[],[f288,f126]) ).

fof(f350,plain,
    ! [X2,X3,X0,X1] : equidistant(insertion(X0,X1,X2,X3),X0,X3,X2),
    inference(resolution,[],[f288,f27]) ).

fof(f288,plain,
    ! [X2,X3,X0,X1] : equidistant(X0,insertion(X0,X1,X2,X3),X3,X2),
    inference(resolution,[],[f241,f26]) ).

fof(f347,plain,
    ! [X2,X3,X0,X1,X4] :
      ( equidistant(X3,X2,X1,X4)
      | extension(X0,X1,X2,X3) != X4 ),
    inference(forward_demodulation,[],[f346,f39]) ).

fof(f346,plain,
    ! [X2,X3,X0,X1,X4] :
      ( equidistant(X3,X2,X1,reflection(X4,X4))
      | extension(X0,X1,X2,X3) != X4 ),
    inference(superposition,[],[f281,f126]) ).

fof(f341,plain,
    ! [X2,X3,X0,X1] : equidistant(X0,X1,extension(X2,X3,X1,X0),X3),
    inference(resolution,[],[f281,f28]) ).

fof(f281,plain,
    ! [X2,X3,X0,X1] : equidistant(X0,X1,X2,extension(X3,X2,X1,X0)),
    inference(resolution,[],[f205,f27]) ).

fof(f340,plain,
    ! [X2,X3,X0,X1,X4] :
      ( equidistant(X4,X0,X2,X3)
      | insertion(X0,X1,X2,X3) != X4 ),
    inference(forward_demodulation,[],[f339,f39]) ).

fof(f339,plain,
    ! [X2,X3,X0,X1,X4] :
      ( equidistant(reflection(X4,X4),X0,X2,X3)
      | insertion(X0,X1,X2,X3) != X4 ),
    inference(superposition,[],[f245,f126]) ).

fof(f335,plain,
    ! [X2,X3,X0,X1] : equidistant(insertion(X0,X1,X2,X3),X0,X3,X2),
    inference(resolution,[],[f245,f28]) ).

fof(f245,plain,
    ! [X2,X3,X0,X1] : equidistant(insertion(X0,X1,X2,X3),X0,X2,X3),
    inference(resolution,[],[f27,f203]) ).

fof(f333,plain,
    ! [X2,X3,X0,X1,X4] :
      ( equidistant(X1,X4,X3,X2)
      | extension(X0,X1,X2,X3) != X4 ),
    inference(forward_demodulation,[],[f332,f39]) ).

fof(f332,plain,
    ! [X2,X3,X0,X1,X4] :
      ( equidistant(X1,reflection(X4,X4),X3,X2)
      | extension(X0,X1,X2,X3) != X4 ),
    inference(superposition,[],[f313,f126]) ).

fof(f329,plain,
    ! [X2,X3,X0,X1] : equidistant(X0,X1,X2,extension(X3,X2,X1,X0)),
    inference(resolution,[],[f313,f26]) ).

fof(f328,plain,
    ! [X2,X3,X0,X1] : equidistant(extension(X0,X1,X2,X3),X1,X3,X2),
    inference(resolution,[],[f313,f27]) ).

fof(f313,plain,
    ! [X2,X3,X0,X1] : equidistant(X0,extension(X1,X0,X2,X3),X3,X2),
    inference(resolution,[],[f28,f5]) ).

fof(f325,plain,
    ! [X2,X3,X0,X1,X4] :
      ( equidistant(X2,X3,X4,X0)
      | insertion(X0,X1,X2,X3) != X4 ),
    inference(forward_demodulation,[],[f324,f39]) ).

fof(f324,plain,
    ! [X2,X3,X0,X1,X4] :
      ( equidistant(X2,X3,reflection(X4,X4),X0)
      | insertion(X0,X1,X2,X3) != X4 ),
    inference(superposition,[],[f308,f126]) ).

fof(f322,plain,
    ! [X2,X3,X0,X1] : equidistant(insertion(X0,X1,X2,X3),X0,X2,X3),
    inference(resolution,[],[f308,f26]) ).

fof(f321,plain,
    ! [X2,X3,X0,X1] : equidistant(X0,X1,insertion(X2,X3,X1,X0),X2),
    inference(resolution,[],[f308,f27]) ).

fof(f308,plain,
    ! [X2,X3,X0,X1] : equidistant(X0,X1,insertion(X2,X3,X0,X1),X2),
    inference(resolution,[],[f28,f75]) ).

fof(f316,plain,
    ! [X2,X3,X0,X1] : equidistant(X0,insertion(X0,X1,X2,X3),X3,X2),
    inference(resolution,[],[f28,f203]) ).

fof(f310,plain,
    ! [X2,X3,X0,X1] : equidistant(X0,X1,extension(X2,X3,X0,X1),X3),
    inference(resolution,[],[f28,f205]) ).

fof(f28,axiom,
    ! [X3,X10,X0,X5] :
      ( ~ equidistant(X10,X3,X5,X0)
      | equidistant(X10,X3,X0,X5) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d4_1) ).

fof(f298,plain,
    ! [X2,X3,X0,X1,X4] :
      ( equidistant(X4,X1,X2,X3)
      | extension(X0,X1,X2,X3) != X4 ),
    inference(forward_demodulation,[],[f297,f39]) ).

fof(f297,plain,
    ! [X2,X3,X0,X1,X4] :
      ( equidistant(reflection(X4,X4),X1,X2,X3)
      | extension(X0,X1,X2,X3) != X4 ),
    inference(superposition,[],[f243,f126]) ).

fof(f243,plain,
    ! [X2,X3,X0,X1] : equidistant(extension(X0,X1,X2,X3),X1,X2,X3),
    inference(resolution,[],[f27,f5]) ).

fof(f291,plain,
    ! [X2,X3,X0,X1,X4] :
      ( equidistant(X3,X2,X0,X4)
      | insertion(X0,X1,X2,X3) != X4 ),
    inference(forward_demodulation,[],[f290,f39]) ).

fof(f290,plain,
    ! [X2,X3,X0,X1,X4] :
      ( equidistant(X3,X2,X0,reflection(X4,X4))
      | insertion(X0,X1,X2,X3) != X4 ),
    inference(superposition,[],[f241,f126]) ).

fof(f241,plain,
    ! [X2,X3,X0,X1] : equidistant(X0,X1,X2,insertion(X2,X3,X1,X0)),
    inference(resolution,[],[f27,f75]) ).

fof(f286,plain,
    ! [X2,X3,X0,X1,X4] :
      ( equidistant(X2,X3,X1,X4)
      | extension(X0,X1,X2,X3) != X4 ),
    inference(forward_demodulation,[],[f285,f39]) ).

fof(f285,plain,
    ! [X2,X3,X0,X1,X4] :
      ( equidistant(X2,X3,X1,reflection(X4,X4))
      | extension(X0,X1,X2,X3) != X4 ),
    inference(superposition,[],[f205,f126]) ).

fof(f205,plain,
    ! [X2,X3,X0,X1] : equidistant(X0,X1,X2,extension(X3,X2,X0,X1)),
    inference(resolution,[],[f26,f5]) ).

fof(f246,plain,
    ! [X0,X1] : equidistant(X0,reflection(X1,X0),X0,X1),
    inference(resolution,[],[f27,f204]) ).

fof(f242,plain,
    ! [X0,X1] : equidistant(X0,X1,reflection(X0,X1),X1),
    inference(resolution,[],[f27,f102]) ).

fof(f261,plain,
    ! [X0,X1] : equidistant(X1,reflection(X0,X1),X1,X0),
    inference(superposition,[],[f239,f48]) ).

fof(f257,plain,
    ! [X0,X1] : equidistant(X0,reflection(X1,X0),X0,X1),
    inference(resolution,[],[f239,f26]) ).

fof(f239,plain,
    ! [X0,X1] : equidistant(X0,X1,X0,reflection(X1,X0)),
    inference(resolution,[],[f27,f206]) ).

fof(f253,plain,
    ! [X0,X1] : equidistant(X0,X1,reflection(X0,X1),X1),
    inference(superposition,[],[f244,f48]) ).

fof(f249,plain,
    ! [X0,X1] : equidistant(X0,X1,reflection(X0,X1),X1),
    inference(resolution,[],[f244,f26]) ).

fof(f244,plain,
    ! [X0,X1] : equidistant(reflection(X0,X1),X1,X0,X1),
    inference(resolution,[],[f27,f37]) ).

fof(f27,axiom,
    ! [X3,X10,X0,X5] :
      ( ~ equidistant(X10,X3,X5,X0)
      | equidistant(X3,X10,X5,X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d3) ).

fof(f230,plain,
    ! [X2,X3,X0,X1] :
      ( reflection(X3,X3) = X0
      | insertion(X0,X1,X2,X2) != X3 ),
    inference(superposition,[],[f226,f126]) ).

fof(f226,plain,
    ! [X2,X0,X1] : insertion(X0,X1,X2,X2) = X0,
    inference(resolution,[],[f203,f3]) ).

fof(f229,plain,
    ! [X2,X3,X0,X1,X4] :
      ( equidistant(X0,X4,X2,X3)
      | insertion(X0,X1,X2,X3) != X4 ),
    inference(forward_demodulation,[],[f228,f39]) ).

fof(f228,plain,
    ! [X2,X3,X0,X1,X4] :
      ( equidistant(X0,reflection(X4,X4),X2,X3)
      | insertion(X0,X1,X2,X3) != X4 ),
    inference(superposition,[],[f203,f126]) ).

fof(f203,plain,
    ! [X2,X3,X0,X1] : equidistant(X0,insertion(X0,X1,X2,X3),X2,X3),
    inference(resolution,[],[f26,f75]) ).

fof(f201,plain,
    ! [X0,X1] :
      ( equidistant(X0,X0,X0,X1)
      | X0 != X1 ),
    inference(resolution,[],[f26,f127]) ).

fof(f210,plain,
    ! [X0,X1] :
      ( equidistant(X0,X1,X1,X1)
      | X0 != X1 ),
    inference(superposition,[],[f206,f114]) ).

fof(f218,plain,
    ! [X0,X1] :
      ( equidistant(X1,X1,X1,X0)
      | X0 != X1 ),
    inference(superposition,[],[f204,f114]) ).

fof(f216,plain,
    ! [X0,X1] :
      ( equidistant(X1,X0,X0,X0)
      | X0 != X1 ),
    inference(superposition,[],[f204,f126]) ).

fof(f204,plain,
    ! [X0,X1] : equidistant(reflection(X0,X1),X1,X1,X0),
    inference(resolution,[],[f26,f102]) ).

fof(f211,plain,
    ! [X0,X1] : equidistant(reflection(X0,X1),X1,X1,X0),
    inference(superposition,[],[f206,f48]) ).

fof(f208,plain,
    ! [X0,X1] :
      ( equidistant(X0,X0,X0,X1)
      | X0 != X1 ),
    inference(superposition,[],[f206,f126]) ).

fof(f206,plain,
    ! [X0,X1] : equidistant(X0,X1,X1,reflection(X0,X1)),
    inference(resolution,[],[f26,f37]) ).

fof(f199,plain,
    ! [X0,X1] :
      ( equidistant(X0,X1,X1,X1)
      | X0 != X1 ),
    inference(resolution,[],[f26,f124]) ).

fof(f26,axiom,
    ! [X3,X10,X0,X5] :
      ( ~ equidistant(X10,X3,X5,X0)
      | equidistant(X5,X0,X10,X3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d2) ).

fof(f197,plain,
    ! [X2,X3,X0,X1] :
      ( X2 != X3
      | between(X3,X1,X0)
      | reflection(X0,X1) != X2 ),
    inference(forward_demodulation,[],[f195,f39]) ).

fof(f195,plain,
    ! [X2,X3,X0,X1] :
      ( reflection(X2,X2) != X3
      | between(X3,X1,X0)
      | reflection(X0,X1) != X2 ),
    inference(superposition,[],[f168,f126]) ).

fof(f193,plain,
    ! [X2,X0,X1] :
      ( X1 != X2
      | between(X2,X1,X0)
      | X0 != X1 ),
    inference(superposition,[],[f168,f114]) ).

fof(f168,plain,
    ! [X2,X0,X1] :
      ( reflection(X0,X1) != X2
      | between(X2,X1,X0) ),
    inference(forward_demodulation,[],[f158,f39]) ).

fof(f158,plain,
    ! [X2,X0,X1] :
      ( between(reflection(X2,X2),X1,X0)
      | reflection(X0,X1) != X2 ),
    inference(superposition,[],[f103,f126]) ).

fof(f190,plain,
    ! [X2,X3,X0,X1] :
      ( X2 != X3
      | between(X0,X1,X3)
      | reflection(X0,X1) != X2 ),
    inference(forward_demodulation,[],[f188,f39]) ).

fof(f188,plain,
    ! [X2,X3,X0,X1] :
      ( reflection(X2,X2) != X3
      | between(X0,X1,X3)
      | reflection(X0,X1) != X2 ),
    inference(superposition,[],[f164,f126]) ).

fof(f186,plain,
    ! [X2,X0,X1] :
      ( X1 != X2
      | between(X0,X1,X2)
      | X0 != X1 ),
    inference(superposition,[],[f164,f114]) ).

fof(f164,plain,
    ! [X2,X0,X1] :
      ( reflection(X0,X1) != X2
      | between(X0,X1,X2) ),
    inference(forward_demodulation,[],[f153,f39]) ).

fof(f153,plain,
    ! [X2,X0,X1] :
      ( between(X0,X1,reflection(X2,X2))
      | reflection(X0,X1) != X2 ),
    inference(superposition,[],[f36,f126]) ).

fof(f135,plain,
    ! [X2,X0,X1] :
      ( X0 != X2
      | X1 = X2
      | X0 != X1 ),
    inference(superposition,[],[f126,f126]) ).

fof(f182,plain,
    ! [X2,X3,X0,X1,X4] :
      ( equidistant(X2,X3,X0,X4)
      | insertion(X0,X1,X2,X3) != X4 ),
    inference(forward_demodulation,[],[f181,f39]) ).

fof(f181,plain,
    ! [X2,X3,X0,X1,X4] :
      ( equidistant(X2,X3,X0,reflection(X4,X4))
      | insertion(X0,X1,X2,X3) != X4 ),
    inference(superposition,[],[f75,f126]) ).

fof(f75,axiom,
    ! [X3,X10,X11,X12] : equidistant(X10,X3,X11,insertion(X11,X12,X10,X3)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i2_1) ).

fof(f176,plain,
    lower_dimension_point_2 != reflection(lower_dimension_point_1,lower_dimension_point_2),
    inference(superposition,[],[f66,f23]) ).

fof(f171,plain,
    ! [X2,X0,X1] :
      ( reflection(X0,X1) = reflection(X2,X2)
      | extension(X0,X1,X0,X1) != X2 ),
    inference(superposition,[],[f23,f126]) ).

fof(f23,axiom,
    ! [X3,X10] : reflection(X10,X3) = extension(X10,X3,X10,X3),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',reflection) ).

fof(f127,plain,
    ! [X0,X1] :
      ( equidistant(X1,X0,X1,X1)
      | X0 != X1 ),
    inference(superposition,[],[f102,f114]) ).

fof(f160,plain,
    ! [X2,X0,X1] :
      ( reflection(X2,X2) = X0
      | reflection(reflection(X0,X1),X1) != X2 ),
    inference(superposition,[],[f48,f126]) ).

fof(f159,plain,
    ! [X2,X0,X1] :
      ( reflection(X2,X2) = X1
      | X0 != X1
      | reflection(X0,X1) != X2 ),
    inference(superposition,[],[f114,f126]) ).

fof(f155,plain,
    ! [X2,X0,X1] :
      ( reflection(X2,X2) != X1
      | X0 = X1
      | reflection(X0,X1) != X2 ),
    inference(superposition,[],[f40,f126]) ).

fof(f151,plain,
    ! [X2,X0,X1] :
      ( reflection(X2,X2) != X1
      | extension(X0,X1,lower_dimension_point_1,lower_dimension_point_2) != X2 ),
    inference(superposition,[],[f66,f126]) ).

fof(f163,plain,
    ! [X2,X3,X0,X1,X4] :
      ( between(X0,X1,X4)
      | extension(X0,X1,X2,X3) != X4 ),
    inference(forward_demodulation,[],[f150,f39]) ).

fof(f150,plain,
    ! [X2,X3,X0,X1,X4] :
      ( between(X0,X1,reflection(X4,X4))
      | extension(X0,X1,X2,X3) != X4 ),
    inference(superposition,[],[f4,f126]) ).

fof(f162,plain,
    ! [X2,X3,X0,X1,X4] :
      ( between(X4,X1,X0)
      | extension(X0,X1,X2,X3) != X4 ),
    inference(forward_demodulation,[],[f149,f39]) ).

fof(f149,plain,
    ! [X2,X3,X0,X1,X4] :
      ( between(reflection(X4,X4),X1,X0)
      | extension(X0,X1,X2,X3) != X4 ),
    inference(superposition,[],[f118,f126]) ).

fof(f161,plain,
    ! [X2,X3,X0,X1,X4] :
      ( equidistant(X1,X4,X2,X3)
      | extension(X0,X1,X2,X3) != X4 ),
    inference(forward_demodulation,[],[f148,f39]) ).

fof(f148,plain,
    ! [X2,X3,X0,X1,X4] :
      ( equidistant(X1,reflection(X4,X4),X2,X3)
      | extension(X0,X1,X2,X3) != X4 ),
    inference(superposition,[],[f5,f126]) ).

fof(f147,plain,
    ! [X2,X3,X0,X1] :
      ( reflection(X3,X3) = X1
      | extension(X0,X1,X2,X2) != X3 ),
    inference(superposition,[],[f34,f126]) ).

fof(f141,plain,
    ! [X0,X1] :
      ( equidistant(X0,X1,X0,X0)
      | X0 != X1 ),
    inference(superposition,[],[f37,f126]) ).

fof(f138,plain,
    ! [X2,X0,X1] :
      ( reflection(X1,X1) = X2
      | X0 != X2
      | reflection(X0,X0) != X1 ),
    inference(superposition,[],[f126,f126]) ).

fof(f126,plain,
    ! [X0,X1] :
      ( reflection(X1,X1) = X0
      | X0 != X1 ),
    inference(superposition,[],[f48,f114]) ).

fof(f124,plain,
    ! [X0,X1] :
      ( equidistant(X1,X1,X0,X1)
      | X0 != X1 ),
    inference(superposition,[],[f37,f114]) ).

fof(f5,axiom,
    ! [X3,X0,X1,X5] : equidistant(X1,extension(X0,X1,X5,X3),X5,X3),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',segment_construction2) ).

fof(f118,plain,
    ! [X2,X3,X0,X1] : between(extension(X0,X1,X2,X3),X1,X0),
    inference(resolution,[],[f51,f4]) ).

fof(f114,plain,
    ! [X0,X1] :
      ( reflection(X0,X1) = X1
      | X0 != X1 ),
    inference(superposition,[],[f40,f48]) ).

fof(f95,plain,
    ! [X3,X10,X5] :
      ( ~ between(X10,X5,X10)
      | between(X3,X5,X10) ),
    inference(equality_resolution,[],[f50]) ).

fof(f50,axiom,
    ! [X3,X10,X0,X5] :
      ( X0 != X10
      | ~ between(X10,X5,X0)
      | between(X3,X5,X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',b1) ).

fof(f90,axiom,
    ! [X3,X10,X5] :
      ( colinear(X10,X3,X5)
      | ~ between(X3,X10,X5) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c2_3) ).

fof(f89,axiom,
    ! [X3,X10,X5] :
      ( colinear(X10,X3,X5)
      | ~ between(X10,X5,X3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c2_2) ).

fof(f88,axiom,
    ! [X3,X10,X5] :
      ( colinear(X10,X3,X5)
      | ~ between(X5,X3,X10) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c2_1) ).

fof(f51,axiom,
    ! [X3,X10,X5] :
      ( ~ between(X10,X3,X5)
      | between(X5,X3,X10) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t1) ).

fof(f40,axiom,
    ! [X3,X10] :
      ( reflection(X10,X3) != X3
      | X3 = X10 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',r4) ).

fof(f21,axiom,
    ! [X2,X0,X1] :
      ( colinear(X0,X1,X2)
      | ~ between(X2,X0,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',colinearity3) ).

fof(f20,axiom,
    ! [X2,X0,X1] :
      ( colinear(X0,X1,X2)
      | ~ between(X1,X2,X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',colinearity2) ).

fof(f19,axiom,
    ! [X2,X0,X1] :
      ( colinear(X0,X1,X2)
      | ~ between(X0,X1,X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',colinearity1) ).

fof(f4,axiom,
    ! [X3,X0,X1,X5] : between(X0,X1,extension(X0,X1,X5,X3)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',segment_construction1) ).

fof(f3,axiom,
    ! [X2,X0,X1] :
      ( ~ equidistant(X0,X1,X2,X2)
      | X0 = X1 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',identity_for_equidistance) ).

fof(f102,plain,
    ! [X0,X1] : equidistant(X1,X0,reflection(X0,X1),X1),
    inference(superposition,[],[f37,f48]) ).

fof(f66,axiom,
    ! [X3,X10] : extension(X10,X3,lower_dimension_point_1,lower_dimension_point_2) != X3,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',e3_1) ).

fof(f103,plain,
    ! [X0,X1] : between(reflection(X0,X1),X1,X0),
    inference(superposition,[],[f36,f48]) ).

fof(f48,axiom,
    ! [X3,X10] : reflection(reflection(X10,X3),X3) = X10,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',r6) ).

fof(f37,axiom,
    ! [X3,X10] : equidistant(X3,reflection(X10,X3),X10,X3),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',r2_2) ).

fof(f34,axiom,
    ! [X3,X10,X5] : extension(X10,X3,X5,X5) = X3,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',e1) ).

fof(f7,axiom,
    ! [X0,X1] :
      ( ~ between(X0,X1,X0)
      | X0 = X1 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',identity_for_betweeness) ).

fof(f36,axiom,
    ! [X3,X10] : between(X10,X3,reflection(X10,X3)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',r2_1) ).

fof(f41,axiom,
    ! [X3,X10] : equidistant(X10,X10,X3,X3),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d7) ).

fof(f39,axiom,
    ! [X10] : reflection(X10,X10) = X10,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',r3_2) ).

fof(f25,axiom,
    ! [X3,X10] : equidistant(X10,X3,X10,X3),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d1) ).

fof(f1,axiom,
    ! [X0,X1] : equidistant(X0,X1,X1,X0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',reflexivity_for_equidistance) ).

fof(f52,axiom,
    ! [X3,X10] : between(X10,X10,X3),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t2) ).

fof(f49,axiom,
    ! [X3,X10] : between(X10,X3,X3),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t3) ).

fof(f12,axiom,
    ~ between(lower_dimension_point_3,lower_dimension_point_1,lower_dimension_point_2),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',lower_dimension3) ).

fof(f11,axiom,
    ~ between(lower_dimension_point_2,lower_dimension_point_3,lower_dimension_point_1),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',lower_dimension2) ).

fof(f10,axiom,
    ~ between(lower_dimension_point_1,lower_dimension_point_2,lower_dimension_point_3),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',lower_dimension1) ).

fof(f91,axiom,
    colinear(a,b,c),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',abc_colinear) ).

fof(f65,axiom,
    lower_dimension_point_1 != lower_dimension_point_3,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',e2_3) ).

fof(f64,axiom,
    lower_dimension_point_2 != lower_dimension_point_3,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',e2_2) ).

fof(f63,axiom,
    lower_dimension_point_1 != lower_dimension_point_2,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',e2_1) ).

fof(f6,axiom,
    ! [X2,X3,X0,X1,X8,X6,X9,X7] :
      ( X0 = X1
      | ~ between(X6,X7,X8)
      | ~ between(X0,X1,X2)
      | ~ equidistant(X1,X3,X7,X9)
      | ~ equidistant(X0,X3,X6,X9)
      | ~ equidistant(X1,X2,X7,X8)
      | ~ equidistant(X0,X1,X6,X7)
      | equidistant(X2,X3,X8,X9) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',outer_five_segment) ).

fof(f71,axiom,
    ! [X3,X10,X0,X11,X6,X9,X5,X12] :
      ( ~ between(X10,X3,X5)
      | ~ between(X11,X9,X12)
      | ~ equidistant(X10,X3,X11,X9)
      | ~ equidistant(X5,X0,X12,X6)
      | ~ equidistant(X10,X0,X11,X6)
      | ~ equidistant(X10,X5,X11,X12)
      | equidistant(X3,X0,X9,X6) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d12) ).

fof(f73,axiom,
    ! [X3,X10,X0,X11,X6,X9,X5,X12] :
      ( ~ between(X10,X3,X5)
      | ~ between(X11,X9,X12)
      | ~ equidistant(X10,X3,X11,X9)
      | ~ equidistant(X5,X0,X12,X6)
      | ~ equidistant(X10,X0,X11,X6)
      | ~ equidistant(X3,X5,X9,X12)
      | equidistant(X3,X0,X9,X6) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d14) ).

fof(f13,axiom,
    ! [X2,X3,X0,X1,X5] :
      ( X3 = X5
      | between(X2,X0,X1)
      | between(X1,X2,X0)
      | between(X0,X1,X2)
      | ~ equidistant(X2,X5,X2,X3)
      | ~ equidistant(X1,X5,X1,X3)
      | ~ equidistant(X0,X5,X0,X3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',upper_dimension) ).

fof(f80,axiom,
    ! [X3,X10,X11,X9,X5,X12] :
      ( ~ between(X10,X3,X5)
      | between(X11,X9,X12)
      | ~ equidistant(X10,X5,X11,X12)
      | ~ equidistant(X3,X5,X9,X12)
      | ~ equidistant(X10,X3,X11,X9) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',b11) ).

fof(f18,axiom,
    ! [X3,X10,X0,X6,X9,X5] :
      ( ~ between(X3,X5,X0)
      | ~ between(X10,X3,X0)
      | ~ equidistant(X10,X0,X10,X6)
      | ~ equidistant(X10,X3,X10,X9)
      | equidistant(X10,X5,X10,continuous(X10,X3,X9,X5,X0,X6)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',continuity2) ).

fof(f17,axiom,
    ! [X3,X10,X0,X6,X9,X5] :
      ( ~ between(X3,X5,X0)
      | ~ between(X10,X3,X0)
      | ~ equidistant(X10,X0,X10,X6)
      | ~ equidistant(X10,X3,X10,X9)
      | between(X9,continuous(X10,X3,X9,X5,X0,X6),X6) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',continuity1) ).

fof(f72,axiom,
    ! [X3,X10,X11,X9,X5,X12] :
      ( ~ between(X10,X3,X5)
      | ~ between(X11,X9,X12)
      | ~ equidistant(X10,X5,X11,X12)
      | ~ equidistant(X10,X3,X11,X9)
      | equidistant(X3,X5,X9,X12) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d13) ).

fof(f42,axiom,
    ! [X3,X10,X11,X9,X5,X12] :
      ( ~ between(X11,X9,X12)
      | ~ between(X10,X3,X5)
      | ~ equidistant(X3,X5,X9,X12)
      | ~ equidistant(X10,X3,X11,X9)
      | equidistant(X10,X5,X11,X12) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d8) ).

fof(f69,axiom,
    ! [X3,X10,X0,X11,X9,X5] :
      ( ~ between(X10,X3,X5)
      | ~ between(X11,X9,X5)
      | ~ between(X10,X0,X11)
      | between(X0,inner_pasch(X9,inner_pasch(X10,X0,X11,X9,X5),X10,X3,X5),X5)
      | between(X3,inner_pasch(X9,inner_pasch(X10,X0,X11,X9,X5),X10,X3,X5),X9) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',b10) ).

fof(f83,axiom,
    ! [X3,X10,X0,X5] :
      ( X0 = X5
      | ~ between(X10,X5,X0)
      | ~ between(X3,X5,X0)
      | between(X3,X10,X5)
      | between(X10,X3,X5) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t7) ).

fof(f82,axiom,
    ! [X3,X10,X0,X5] :
      ( X3 = X10
      | ~ between(X10,X3,X5)
      | ~ between(X10,X3,X0)
      | between(X3,X0,X5)
      | between(X3,X5,X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',b13) ).

fof(f81,axiom,
    ! [X3,X10,X0,X5] :
      ( X3 = X10
      | ~ between(X10,X3,X5)
      | ~ between(X10,X3,X0)
      | between(X10,X0,X5)
      | between(X10,X5,X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',b12) ).

fof(f70,axiom,
    ! [X3,X10,X5,X12] :
      ( X5 = X12
      | X3 = X10
      | ~ between(X10,X3,X5)
      | ~ equidistant(X3,X5,X3,X12)
      | ~ equidistant(X10,X5,X10,X12) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d11) ).

fof(f43,axiom,
    ! [X3,X10,X0,X5] :
      ( X0 = X5
      | X3 = X10
      | ~ between(X10,X3,X5)
      | ~ between(X10,X3,X0)
      | ~ equidistant(X3,X5,X3,X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d9) ).

fof(f84,axiom,
    ! [X3,X10,X0,X5] :
      ( ~ between(X10,X5,X0)
      | ~ between(X10,X3,X0)
      | between(X10,X5,X3)
      | between(X10,X3,X5) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t9) ).

fof(f85,axiom,
    ! [X3,X10,X0,X5] :
      ( ~ between(X10,X5,X0)
      | ~ between(X10,X3,X0)
      | between(X5,X3,X0)
      | between(X3,X5,X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',b14) ).

fof(f86,axiom,
    ! [X3,X10,X0,X1,X5] :
      ( ~ between(X10,X3,X1)
      | ~ between(X10,X0,X1)
      | ~ between(X3,X5,X0)
      | between(X10,X5,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t8) ).

fof(f74,axiom,
    ! [X3,X10,X0,X5] :
      ( X0 = X3
      | ~ between(X10,X3,X5)
      | ~ equidistant(X5,X3,X5,X0)
      | ~ equidistant(X10,X3,X10,X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d15) ).

fof(f16,axiom,
    ! [X3,X10,X0,X1,X5] :
      ( X5 = X10
      | ~ between(X3,X5,X0)
      | ~ between(X10,X5,X1)
      | between(euclid1(X10,X3,X5,X0,X1),X1,euclid2(X10,X3,X5,X0,X1)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',euclid3) ).

fof(f15,axiom,
    ! [X3,X10,X0,X1,X5] :
      ( X5 = X10
      | ~ between(X3,X5,X0)
      | ~ between(X10,X5,X1)
      | between(X10,X0,euclid2(X10,X3,X5,X0,X1)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',euclid2) ).

fof(f14,axiom,
    ! [X3,X10,X0,X1,X5] :
      ( X5 = X10
      | ~ between(X3,X5,X0)
      | ~ between(X10,X5,X1)
      | between(X10,X3,euclid1(X10,X3,X5,X0,X1)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',euclid1) ).

fof(f96,plain,
    ! [X3,X10,X5] :
      ( X3 = X5
      | ~ between(X10,X5,X3)
      | ~ between(X10,X3,X5) ),
    inference(global_subsumption,[],[f92,f91,f65,f64,f63,f12,f11,f10,f52,f49,f39,f1,f41,f25,f36,f66,f48,f34,f37,f68,f4,f23,f47,f75,f5,f67,f24,f93,f7,f40,f3,f46,f90,f89,f19,f20,f21,f88,f51,f78,f94,f28,f26,f27,f32,f31,f29,f30,f79,f95,f53,f54,f87,f44,f45,f58,f61,f62,f8,f9,f76,f77,f2,f33,f55,f56]) ).

fof(f56,axiom,
    ! [X3,X10,X5] :
      ( X3 = X5
      | X3 = X10
      | ~ between(X10,X5,X3)
      | ~ between(X10,X3,X5) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t6_2) ).

fof(f55,axiom,
    ! [X3,X10,X5] :
      ( X3 = X5
      | X3 = X10
      | ~ between(X3,X10,X5)
      | ~ between(X10,X3,X5) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t6_1) ).

fof(f77,axiom,
    ! [X3,X10,X11,X5,X12] :
      ( ~ between(X10,X3,X5)
      | ~ equidistant(X10,X5,X11,X12)
      | equidistant(X3,X5,insertion(X11,X12,X10,X3),X12) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i2_3) ).

fof(f76,axiom,
    ! [X3,X10,X11,X5,X12] :
      ( ~ between(X10,X3,X5)
      | ~ equidistant(X10,X5,X11,X12)
      | between(X11,insertion(X11,X12,X10,X3),X12) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i2_2) ).

fof(f9,axiom,
    ! [X3,X10,X0,X1,X5] :
      ( ~ between(X10,X3,X5)
      | ~ between(X1,X0,X5)
      | between(X0,inner_pasch(X10,X3,X5,X0,X1),X10) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',inner_pasch2) ).

fof(f8,axiom,
    ! [X3,X10,X0,X1,X5] :
      ( ~ between(X10,X3,X5)
      | ~ between(X1,X0,X5)
      | between(X3,inner_pasch(X10,X3,X5,X0,X1),X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',inner_pasch1) ).

fof(f45,axiom,
    ! [X2,X3,X10,X0,X1,X5] :
      ( X3 = X10
      | ~ equidistant(X5,X0,X1,X2)
      | extension(X10,X3,X5,X0) = extension(X10,X3,X1,X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d10_2) ).

fof(f79,axiom,
    ! [X2,X3,X10,X0,X1,X5] :
      ( ~ equidistant(X5,X0,X1,X2)
      | insertion(X10,X3,X5,X0) = insertion(X10,X3,X1,X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i4) ).

fof(f94,plain,
    ! [X3,X10,X0,X5] : between(X10,X3,extension(X10,X3,X5,X0)),
    inference(equality_resolution,[],[f35]) ).

fof(f35,axiom,
    ! [X3,X10,X0,X1,X5] :
      ( between(X10,X3,X1)
      | extension(X10,X3,X5,X0) != X1 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',b0) ).

fof(f46,axiom,
    ! [X3,X10] :
      ( X3 = X10
      | extension(X10,X3,X10,X3) = extension(X10,X3,X3,X10) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d10_3) ).

fof(f93,plain,
    ! [X10] : reflection(X10,X10) = X10,
    inference(equality_resolution,[],[f38]) ).

fof(f38,axiom,
    ! [X3,X10] :
      ( X3 != X10
      | reflection(X10,X3) = X3 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',r3_1) ).

fof(f47,axiom,
    ! [X3,X10] : equidistant(X3,X10,X3,reflection(reflection(X10,X3),X3)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',r5) ).

fof(f68,axiom,
    ! [X3,X10] : between(X10,X3,extension(X10,X3,lower_dimension_point_1,lower_dimension_point_2)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',e3_3) ).

fof(f2403,plain,
    ( colinear(b,c,a)
    | ~ spl0_3 ),
    inference(avatar_component_clause,[],[f2402]) ).

fof(f2402,plain,
    ( spl0_3
  <=> colinear(b,c,a) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).

fof(f2486,plain,
    ( spl0_2
    | ~ spl0_5 ),
    inference(avatar_contradiction_clause,[],[f2485]) ).

fof(f2485,plain,
    ( $false
    | spl0_2
    | ~ spl0_5 ),
    inference(global_subsumption,[],[f2411,f68,f47,f93,f46,f94,f79,f45,f8,f9,f76,f77,f55,f56,f96,f14,f15,f16,f74,f86,f85,f84,f43,f70,f81,f82,f83,f69,f42,f72,f17,f18,f80,f13,f73,f71,f6,f63,f64,f65,f91,f10,f11,f12,f49,f52,f1,f25,f39,f41,f36,f7,f34,f37,f48,f103,f66,f102,f3,f4,f19,f20,f21,f40,f51,f88,f89,f90,f95,f114,f118,f5,f124,f126,f138,f141,f147,f161,f162,f163,f151,f155,f159,f160,f127,f23,f171,f176,f75,f182,f135,f164,f186,f190,f168,f193,f197,f26,f199,f206,f208,f211,f204,f216,f218,f210,f201,f203,f229,f226,f230,f27,f244,f249,f253,f239,f257,f261,f242,f246,f205,f286,f241,f291,f243,f298,f28,f310,f316,f308,f321,f322,f325,f313,f328,f329,f333,f245,f335,f340,f281,f341,f347,f288,f350,f354,f294,f356,f361,f309,f364,f367,f319,f371,f375,f29,f387,f412,f398,f420,f30,f187,f452,f453,f454,f455,f462,f461,f466,f467,f194,f470,f478,f471,f473,f480,f460,f484,f490,f486,f493,f31,f32,f152,f565,f568,f53,f578,f579,f580,f581,f577,f587,f591,f593,f165,f595,f596,f597,f598,f599,f600,f601,f594,f605,f166,f607,f609,f611,f167,f614,f615,f616,f617,f618,f619,f178,f622,f623,f629,f626,f633,f213,f638,f639,f641,f642,f643,f221,f646,f647,f649,f650,f255,f653,f656,f659,f54,f664,f666,f668,f669,f667,f675,f679,f681,f263,f683,f686,f271,f697,f280,f78,f712,f713,f714,f715,f706,f716,f711,f728,f739,f730,f610,f740,f742,f743,f744,f746,f747,f749,f750,f751,f753,f754,f755,f756,f760,f764,f765,f766,f767,f768,f769,f776,f777,f778,f779,f780,f782,f783,f784,f785,f787,f788,f789,f792,f793,f794,f795,f797,f798,f799,f800,f801,f802,f803,f804,f805,f806,f807,f808,f809,f810,f811,f812,f813,f815,f816,f817,f818,f819,f786,f822,f823,f826,f827,f825,f833,f834,f837,f58,f843,f845,f847,f849,f850,f842,f855,f856,f858,f857,f861,f862,f864,f870,f846,f872,f873,f874,f875,f876,f877,f878,f880,f883,f884,f886,f888,f848,f895,f896,f899,f900,f904,f879,f907,f908,f909,f910,f911,f912,f913,f915,f918,f919,f923,f921,f931,f932,f935,f936,f940,f61,f943,f944,f945,f946,f947,f948,f950,f951,f952,f949,f956,f957,f958,f959,f960,f964,f965,f967,f969,f961,f971,f972,f973,f974,f975,f977,f979,f980,f982,f984,f759,f986,f987,f988,f989,f990,f991,f992,f993,f995,f996,f997,f1000,f761,f1001,f1003,f1004,f1005,f1006,f1118,f1119,f1012,f1013,f1014,f1015,f1016,f1019,f1020,f1024,f1025,f1026,f1027,f1028,f1029,f1030,f1031,f1032,f1033,f1034,f1035,f1036,f1037,f1038,f1039,f1040,f1041,f1042,f1043,f1044,f1045,f1046,f1047,f1048,f1049,f1050,f1051,f1052,f1053,f1120,f1121,f1122,f1123,f1124,f1125,f1126,f1127,f1128,f1129,f1064,f1065,f1066,f1067,f1068,f1069,f1072,f1076,f1135,f1078,f1136,f1137,f1138,f1145,f1089,f1146,f1091,f1092,f1147,f1148,f1149,f1150,f1151,f1152,f1153,f1154,f1155,f1156,f1103,f1104,f1105,f1106,f1157,f1158,f1159,f1160,f1161,f1162,f1163,f1164,f1115,f1116,f1117,f62,f1167,f1168,f1169,f1171,f1172,f1173,f1174,f1175,f1176,f1177,f1178,f1166,f1183,f1184,f1185,f1186,f1188,f1187,f1191,f1192,f1194,f1195,f1202,f1203,f1170,f1206,f1207,f1208,f1209,f1210,f1211,f1214,f1215,f1217,f1218,f1221,f1222,f1205,f1227,f1228,f1229,f1230,f1231,f1232,f1235,f1236,f1238,f1239,f1242,f1243,f762,f1244,f1245,f1246,f1247,f1248,f1249,f1251,f1253,f1254,f1255,f1256,f1260,f1261,f770,f1264,f1265,f1267,f1268,f1269,f1270,f1272,f1273,f1274,f1275,f1279,f1280,f771,f1282,f1283,f1285,f1286,f1288,f1290,f1291,f1292,f1293,f1297,f1298,f772,f1299,f1302,f1305,f1306,f1308,f1309,f1310,f1311,f1315,f1316,f773,f1317,f1323,f1324,f1326,f1327,f1328,f1329,f1333,f1334,f774,f1339,f1343,f1345,f1346,f1347,f1348,f1352,f1353,f87,f1359,f1360,f1361,f1362,f1373,f1374,f1375,f1376,f1378,f1379,f1381,f1383,f1384,f775,f1394,f1395,f1397,f1398,f1399,f1400,f1404,f1405,f67,f1407,f1408,f1409,f1410,f1411,f1412,f1413,f1420,f1421,f1417,f1422,f1423,f44,f1427,f1428,f1429,f1430,f1431,f1432,f1433,f1434,f1435,f1436,f1437,f1438,f1439,f1440,f1442,f1443,f1458,f1459,f575,f1466,f1467,f1468,f1469,f1470,f1471,f1472,f1473,f1477,f1474,f1478,f1475,f1479,f709,f1480,f1481,f662,f1494,f1506,f1495,f1496,f1497,f1498,f1508,f1499,f1509,f1501,f1502,f1503,f1504,f1505,f708,f1510,f1511,f1464,f1523,f1524,f576,f1530,f1531,f1538,f1539,f665,f1540,f1542,f1543,f1544,f1545,f1548,f1549,f1556,f1558,f1559,f710,f1575,f1576,f1565,f1566,f1414,f1577,f1578,f1579,f1580,f1581,f1582,f1583,f1584,f1585,f1586,f1593,f1595,f1596,f1594,f1604,f1605,f1612,f1608,f1609,f1613,f1597,f1615,f1616,f1617,f1618,f1619,f1620,f1621,f1622,f1629,f1625,f1626,f1630,f1598,f1631,f1633,f1634,f1636,f1637,f1638,f1639,f1646,f1642,f1643,f1647,f1599,f1648,f1649,f1652,f1654,f1655,f1656,f1663,f1659,f1660,f1664,f1600,f1665,f1669,f1670,f1672,f1673,f1680,f1676,f1677,f1681,f1601,f1683,f1685,f1689,f1690,f1697,f1693,f1694,f1698,f1602,f1701,f1706,f1707,f1714,f1710,f1711,f1715,f1603,f1723,f1724,f1731,f1727,f1728,f1732,f2,f1734,f1735,f1736,f1738,f1739,f1740,f1741,f1743,f1744,f1745,f1746,f1747,f1748,f1749,f1750,f1751,f1752,f1753,f1754,f1755,f1756,f1757,f1758,f1759,f1760,f1761,f1762,f1763,f1764,f1765,f1766,f1767,f1768,f1769,f1770,f1771,f1772,f1773,f1774,f1775,f1776,f1777,f1778,f1779,f1780,f1781,f1782,f1783,f1784,f1785,f1786,f1787,f1788,f1789,f24,f1790,f1820,f1792,f1821,f1822,f1796,f1823,f1798,f1799,f1800,f1824,f1803,f1805,f1825,f1814,f1826,f1816,f1817,f1818,f1819,f1832,f1833,f1733,f1837,f1840,f1868,f1843,f1870,f1849,f1872,f1873,f1853,f1861,f1863,f33,f1885,f1886,f1887,f1889,f1890,f1891,f1892,f1894,f1895,f1896,f1897,f1898,f1899,f1900,f1901,f1902,f1903,f1904,f1905,f1906,f1907,f1908,f1909,f1910,f1911,f1912,f1913,f1914,f1915,f1916,f1917,f1918,f1919,f1920,f1921,f1922,f1923,f1924,f1925,f1926,f1927,f1928,f1929,f1930,f1931,f1932,f1933,f1934,f1935,f1936,f1937,f1938,f1939,f1940,f1836,f1942,f1947,f1948,f1949,f1950,f1943,f1955,f1963,f1884,f1972,f1975,f1981,f1985,f1994,f1996,f59,f2020,f2034,f2022,f2023,f2024,f2025,f2026,f2027,f2028,f2029,f2030,f2031,f2032,f2033,f1846,f2036,f2037,f2038,f2040,f2041,f2042,f2043,f2044,f1851,f2049,f2050,f2054,f2055,f2056,f2057,f1978,f2062,f2065,f2066,f2070,f1983,f2075,f2083,f60,f2091,f2092,f2093,f2094,f2095,f2096,f2097,f2098,f2099,f2100,f2101,f2102,f2103,f2107,f2109,f2110,f2111,f2112,f2113,f2114,f2117,f2118,f2120,f2121,f2124,f2125,f2108,f2126,f2128,f2129,f2130,f2131,f2132,f2133,f2134,f2135,f2136,f2137,f2153,f2138,f2141,f2142,f2144,f2154,f2155,f2148,f2149,f2156,f2157,f2127,f2158,f2160,f2161,f2162,f2163,f2164,f2165,f2166,f2167,f2168,f2184,f2169,f2172,f2173,f2175,f2185,f2186,f2179,f2180,f2187,f2188,f2145,f2193,f2194,f2195,f2196,f2197,f2198,f2199,f2226,f2200,f2201,f2202,f2203,f2204,f2207,f2208,f2210,f2227,f2228,f2216,f2217,f2219,f2220,f2229,f2230,f2176,f2235,f2237,f2238,f2239,f2240,f2241,f2242,f2243,f2244,f2245,f2246,f2249,f2250,f2252,f2253,f2268,f2269,f2258,f2259,f2261,f2270,f2271,f2105,f2274,f2275,f2277,f2284,f2285,f2278,f2294,f2296,f2297,f2298,f2300,f2301,f2302,f2304,f2309,f2310,f2312,f2319,f2320,f2290,f2325,f2328,f2330,f2331,f2332,f2334,f2335,f2336,f2338,f2341,f2342,f2345,f2346,f2348,f2349,f2356,f2357,f2291,f2363,f2365,f2370,f2371,f2372,f2373,f2375,f2377,f2381,f2382,f2384,f2385,f2391,f2392,f92,f2400,f2420,f2421,f2422,f2423,f2424,f2425,f22,f2450]) ).

fof(f2411,plain,
    ( colinear(c,b,a)
    | ~ spl0_5 ),
    inference(avatar_component_clause,[],[f2410]) ).

fof(f2410,plain,
    ( spl0_5
  <=> colinear(c,b,a) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).

fof(f2484,plain,
    spl0_2,
    inference(avatar_contradiction_clause,[],[f2483]) ).

fof(f2483,plain,
    ( $false
    | spl0_2 ),
    inference(global_subsumption,[],[f68,f47,f93,f46,f94,f79,f45,f8,f9,f76,f77,f55,f56,f96,f14,f15,f16,f74,f86,f85,f84,f43,f70,f81,f82,f83,f69,f42,f72,f17,f18,f80,f13,f73,f71,f6,f63,f64,f65,f91,f10,f11,f12,f49,f52,f1,f25,f39,f41,f36,f7,f34,f37,f48,f103,f66,f102,f3,f4,f19,f20,f21,f40,f51,f88,f89,f90,f95,f114,f118,f5,f124,f126,f138,f141,f147,f161,f162,f163,f151,f155,f159,f160,f127,f23,f171,f176,f75,f182,f135,f164,f186,f190,f168,f193,f197,f26,f199,f206,f208,f211,f204,f216,f218,f210,f201,f203,f229,f226,f230,f27,f244,f249,f253,f239,f257,f261,f242,f246,f205,f286,f241,f291,f243,f298,f28,f310,f316,f308,f321,f322,f325,f313,f328,f329,f333,f245,f335,f340,f281,f341,f347,f288,f350,f354,f294,f356,f361,f309,f364,f367,f319,f371,f375,f29,f387,f412,f398,f420,f30,f187,f452,f453,f454,f455,f462,f461,f466,f467,f194,f470,f478,f471,f473,f480,f460,f484,f490,f486,f493,f31,f32,f152,f565,f568,f53,f578,f579,f580,f581,f577,f587,f591,f593,f165,f595,f596,f597,f598,f599,f600,f601,f594,f605,f166,f607,f609,f611,f167,f614,f615,f616,f617,f618,f619,f178,f622,f623,f629,f626,f633,f213,f638,f639,f641,f642,f643,f221,f646,f647,f649,f650,f255,f653,f656,f659,f54,f664,f666,f668,f669,f667,f675,f679,f681,f263,f683,f686,f271,f697,f280,f78,f712,f713,f714,f715,f706,f716,f711,f728,f739,f730,f610,f740,f742,f743,f744,f746,f747,f749,f750,f751,f753,f754,f755,f756,f760,f764,f765,f766,f767,f768,f769,f776,f777,f778,f779,f780,f782,f783,f784,f785,f787,f788,f789,f792,f793,f794,f795,f797,f798,f799,f800,f801,f802,f803,f804,f805,f806,f807,f808,f809,f810,f811,f812,f813,f815,f816,f817,f818,f819,f786,f822,f823,f826,f827,f825,f833,f834,f837,f58,f843,f845,f847,f849,f850,f842,f855,f856,f858,f857,f861,f862,f864,f870,f846,f872,f873,f874,f875,f876,f877,f878,f880,f883,f884,f886,f888,f848,f895,f896,f899,f900,f904,f879,f907,f908,f909,f910,f911,f912,f913,f915,f918,f919,f923,f921,f931,f932,f935,f936,f940,f61,f943,f944,f945,f946,f947,f948,f950,f951,f952,f949,f956,f957,f958,f959,f960,f964,f965,f967,f969,f961,f971,f972,f973,f974,f975,f977,f979,f980,f982,f984,f759,f986,f987,f988,f989,f990,f991,f992,f993,f995,f996,f997,f1000,f761,f1001,f1003,f1004,f1005,f1006,f1118,f1119,f1012,f1013,f1014,f1015,f1016,f1019,f1020,f1024,f1025,f1026,f1027,f1028,f1029,f1030,f1031,f1032,f1033,f1034,f1035,f1036,f1037,f1038,f1039,f1040,f1041,f1042,f1043,f1044,f1045,f1046,f1047,f1048,f1049,f1050,f1051,f1052,f1053,f1120,f1121,f1122,f1123,f1124,f1125,f1126,f1127,f1128,f1129,f1064,f1065,f1066,f1067,f1068,f1069,f1072,f1076,f1135,f1078,f1136,f1137,f1138,f1145,f1089,f1146,f1091,f1092,f1147,f1148,f1149,f1150,f1151,f1152,f1153,f1154,f1155,f1156,f1103,f1104,f1105,f1106,f1157,f1158,f1159,f1160,f1161,f1162,f1163,f1164,f1115,f1116,f1117,f62,f1167,f1168,f1169,f1171,f1172,f1173,f1174,f1175,f1176,f1177,f1178,f1166,f1183,f1184,f1185,f1186,f1188,f1187,f1191,f1192,f1194,f1195,f1202,f1203,f1170,f1206,f1207,f1208,f1209,f1210,f1211,f1214,f1215,f1217,f1218,f1221,f1222,f1205,f1227,f1228,f1229,f1230,f1231,f1232,f1235,f1236,f1238,f1239,f1242,f1243,f762,f1244,f1245,f1246,f1247,f1248,f1249,f1251,f1253,f1254,f1255,f1256,f1260,f1261,f770,f1264,f1265,f1267,f1268,f1269,f1270,f1272,f1273,f1274,f1275,f1279,f1280,f771,f1282,f1283,f1285,f1286,f1288,f1290,f1291,f1292,f1293,f1297,f1298,f772,f1299,f1302,f1305,f1306,f1308,f1309,f1310,f1311,f1315,f1316,f773,f1317,f1323,f1324,f1326,f1327,f1328,f1329,f1333,f1334,f774,f1339,f1343,f1345,f1346,f1347,f1348,f1352,f1353,f87,f1359,f1360,f1361,f1362,f1373,f1374,f1375,f1376,f1378,f1379,f1381,f1383,f1384,f775,f1394,f1395,f1397,f1398,f1399,f1400,f1404,f1405,f67,f1407,f1408,f1409,f1410,f1411,f1412,f1413,f1420,f1421,f1417,f1422,f1423,f44,f1427,f1428,f1429,f1430,f1431,f1432,f1433,f1434,f1435,f1436,f1437,f1438,f1439,f1440,f1442,f1443,f1458,f1459,f575,f1466,f1467,f1468,f1469,f1470,f1471,f1472,f1473,f1477,f1474,f1478,f1475,f1479,f709,f1480,f1481,f662,f1494,f1506,f1495,f1496,f1497,f1498,f1508,f1499,f1509,f1501,f1502,f1503,f1504,f1505,f708,f1510,f1511,f1464,f1523,f1524,f576,f1530,f1531,f1538,f1539,f665,f1540,f1542,f1543,f1544,f1545,f1548,f1549,f1556,f1558,f1559,f710,f1575,f1576,f1565,f1566,f1414,f1577,f1578,f1579,f1580,f1581,f1582,f1583,f1584,f1585,f1586,f1593,f1595,f1596,f1594,f1604,f1605,f1612,f1608,f1609,f1613,f1597,f1615,f1616,f1617,f1618,f1619,f1620,f1621,f1622,f1629,f1625,f1626,f1630,f1598,f1631,f1633,f1634,f1636,f1637,f1638,f1639,f1646,f1642,f1643,f1647,f1599,f1648,f1649,f1652,f1654,f1655,f1656,f1663,f1659,f1660,f1664,f1600,f1665,f1669,f1670,f1672,f1673,f1680,f1676,f1677,f1681,f1601,f1683,f1685,f1689,f1690,f1697,f1693,f1694,f1698,f1602,f1701,f1706,f1707,f1714,f1710,f1711,f1715,f1603,f1723,f1724,f1731,f1727,f1728,f1732,f2,f1734,f1735,f1736,f1738,f1739,f1740,f1741,f1743,f1744,f1745,f1746,f1747,f1748,f1749,f1750,f1751,f1752,f1753,f1754,f1755,f1756,f1757,f1758,f1759,f1760,f1761,f1762,f1763,f1764,f1765,f1766,f1767,f1768,f1769,f1770,f1771,f1772,f1773,f1774,f1775,f1776,f1777,f1778,f1779,f1780,f1781,f1782,f1783,f1784,f1785,f1786,f1787,f1788,f1789,f24,f1790,f1820,f1792,f1821,f1822,f1796,f1823,f1798,f1799,f1800,f1824,f1803,f1805,f1825,f1814,f1826,f1816,f1817,f1818,f1819,f1832,f1833,f1733,f1837,f1840,f1868,f1843,f1870,f1849,f1872,f1873,f1853,f1861,f1863,f33,f1885,f1886,f1887,f1889,f1890,f1891,f1892,f1894,f1895,f1896,f1897,f1898,f1899,f1900,f1901,f1902,f1903,f1904,f1905,f1906,f1907,f1908,f1909,f1910,f1911,f1912,f1913,f1914,f1915,f1916,f1917,f1918,f1919,f1920,f1921,f1922,f1923,f1924,f1925,f1926,f1927,f1928,f1929,f1930,f1931,f1932,f1933,f1934,f1935,f1936,f1937,f1938,f1939,f1940,f1836,f1942,f1947,f1948,f1949,f1950,f1943,f1955,f1963,f1884,f1972,f1975,f1981,f1985,f1994,f1996,f59,f2020,f2034,f2022,f2023,f2024,f2025,f2026,f2027,f2028,f2029,f2030,f2031,f2032,f2033,f1846,f2036,f2037,f2038,f2040,f2041,f2042,f2043,f2044,f1851,f2049,f2050,f2054,f2055,f2056,f2057,f1978,f2062,f2065,f2066,f2070,f1983,f2075,f2083,f60,f2091,f2092,f2093,f2094,f2095,f2096,f2097,f2098,f2099,f2100,f2101,f2102,f2103,f2107,f2109,f2110,f2111,f2112,f2113,f2114,f2117,f2118,f2120,f2121,f2124,f2125,f2108,f2126,f2128,f2129,f2130,f2131,f2132,f2133,f2134,f2135,f2136,f2137,f2153,f2138,f2141,f2142,f2144,f2154,f2155,f2148,f2149,f2156,f2157,f2127,f2158,f2160,f2161,f2162,f2163,f2164,f2165,f2166,f2167,f2168,f2184,f2169,f2172,f2173,f2175,f2185,f2186,f2179,f2180,f2187,f2188,f2145,f2193,f2194,f2195,f2196,f2197,f2198,f2199,f2226,f2200,f2201,f2202,f2203,f2204,f2207,f2208,f2210,f2227,f2228,f2216,f2217,f2219,f2220,f2229,f2230,f2176,f2235,f2237,f2238,f2239,f2240,f2241,f2242,f2243,f2244,f2245,f2246,f2249,f2250,f2252,f2253,f2268,f2269,f2258,f2259,f2261,f2270,f2271,f2105,f2274,f2275,f2277,f2284,f2285,f2278,f2294,f2296,f2297,f2298,f2300,f2301,f2302,f2304,f2309,f2310,f2312,f2319,f2320,f2290,f2325,f2328,f2330,f2331,f2332,f2334,f2335,f2336,f2338,f2341,f2342,f2345,f2346,f2348,f2349,f2356,f2357,f2291,f2363,f2365,f2370,f2371,f2372,f2373,f2375,f2377,f2381,f2382,f2384,f2385,f2391,f2392,f92,f2400,f2420,f2421,f2422,f2423,f2424,f2425,f22,f2450]) ).

fof(f2482,plain,
    ( ~ spl0_1
    | spl0_2 ),
    inference(avatar_contradiction_clause,[],[f2481]) ).

fof(f2481,plain,
    ( $false
    | ~ spl0_1
    | spl0_2 ),
    inference(global_subsumption,[],[f2395,f68,f47,f93,f46,f94,f79,f45,f8,f9,f76,f77,f55,f56,f96,f14,f15,f16,f74,f86,f85,f84,f43,f70,f81,f82,f83,f69,f42,f72,f17,f18,f80,f13,f73,f71,f6,f63,f64,f65,f91,f10,f11,f12,f49,f52,f1,f25,f39,f41,f36,f7,f34,f37,f48,f103,f66,f102,f3,f4,f19,f20,f21,f40,f51,f88,f89,f90,f95,f114,f118,f5,f124,f126,f138,f141,f147,f161,f162,f163,f151,f155,f159,f160,f127,f23,f171,f176,f75,f182,f135,f164,f186,f190,f168,f193,f197,f26,f199,f206,f208,f211,f204,f216,f218,f210,f201,f203,f229,f226,f230,f27,f244,f249,f253,f239,f257,f261,f242,f246,f205,f286,f241,f291,f243,f298,f28,f310,f316,f308,f321,f322,f325,f313,f328,f329,f333,f245,f335,f340,f281,f341,f347,f288,f350,f354,f294,f356,f361,f309,f364,f367,f319,f371,f375,f29,f387,f412,f398,f420,f30,f187,f452,f453,f454,f455,f462,f461,f466,f467,f194,f470,f478,f471,f473,f480,f460,f484,f490,f486,f493,f31,f32,f152,f565,f568,f53,f578,f579,f580,f581,f577,f587,f591,f593,f165,f595,f596,f597,f598,f599,f600,f601,f594,f605,f166,f607,f609,f611,f167,f614,f615,f616,f617,f618,f619,f178,f622,f623,f629,f626,f633,f213,f638,f639,f641,f642,f643,f221,f646,f647,f649,f650,f255,f653,f656,f659,f54,f664,f666,f668,f669,f667,f675,f679,f681,f263,f683,f686,f271,f697,f280,f78,f712,f713,f714,f715,f706,f716,f711,f728,f739,f730,f610,f740,f742,f743,f744,f746,f747,f749,f750,f751,f753,f754,f755,f756,f760,f764,f765,f766,f767,f768,f769,f776,f777,f778,f779,f780,f782,f783,f784,f785,f787,f788,f789,f792,f793,f794,f795,f797,f798,f799,f800,f801,f802,f803,f804,f805,f806,f807,f808,f809,f810,f811,f812,f813,f815,f816,f817,f818,f819,f786,f822,f823,f826,f827,f825,f833,f834,f837,f58,f843,f845,f847,f849,f850,f842,f855,f856,f858,f857,f861,f862,f864,f870,f846,f872,f873,f874,f875,f876,f877,f878,f880,f883,f884,f886,f888,f848,f895,f896,f899,f900,f904,f879,f907,f908,f909,f910,f911,f912,f913,f915,f918,f919,f923,f921,f931,f932,f935,f936,f940,f61,f943,f944,f945,f946,f947,f948,f950,f951,f952,f949,f956,f957,f958,f959,f960,f964,f965,f967,f969,f961,f971,f972,f973,f974,f975,f977,f979,f980,f982,f984,f759,f986,f987,f988,f989,f990,f991,f992,f993,f995,f996,f997,f1000,f761,f1001,f1003,f1004,f1005,f1006,f1118,f1119,f1012,f1013,f1014,f1015,f1016,f1019,f1020,f1024,f1025,f1026,f1027,f1028,f1029,f1030,f1031,f1032,f1033,f1034,f1035,f1036,f1037,f1038,f1039,f1040,f1041,f1042,f1043,f1044,f1045,f1046,f1047,f1048,f1049,f1050,f1051,f1052,f1053,f1120,f1121,f1122,f1123,f1124,f1125,f1126,f1127,f1128,f1129,f1064,f1065,f1066,f1067,f1068,f1069,f1072,f1076,f1135,f1078,f1136,f1137,f1138,f1145,f1089,f1146,f1091,f1092,f1147,f1148,f1149,f1150,f1151,f1152,f1153,f1154,f1155,f1156,f1103,f1104,f1105,f1106,f1157,f1158,f1159,f1160,f1161,f1162,f1163,f1164,f1115,f1116,f1117,f62,f1167,f1168,f1169,f1171,f1172,f1173,f1174,f1175,f1176,f1177,f1178,f1166,f1183,f1184,f1185,f1186,f1188,f1187,f1191,f1192,f1194,f1195,f1202,f1203,f1170,f1206,f1207,f1208,f1209,f1210,f1211,f1214,f1215,f1217,f1218,f1221,f1222,f1205,f1227,f1228,f1229,f1230,f1231,f1232,f1235,f1236,f1238,f1239,f1242,f1243,f762,f1244,f1245,f1246,f1247,f1248,f1249,f1251,f1253,f1254,f1255,f1256,f1260,f1261,f770,f1264,f1265,f1267,f1268,f1269,f1270,f1272,f1273,f1274,f1275,f1279,f1280,f771,f1282,f1283,f1285,f1286,f1288,f1290,f1291,f1292,f1293,f1297,f1298,f772,f1299,f1302,f1305,f1306,f1308,f1309,f1310,f1311,f1315,f1316,f773,f1317,f1323,f1324,f1326,f1327,f1328,f1329,f1333,f1334,f774,f1339,f1343,f1345,f1346,f1347,f1348,f1352,f1353,f87,f1359,f1360,f1361,f1362,f1373,f1374,f1375,f1376,f1378,f1379,f1381,f1383,f1384,f775,f1394,f1395,f1397,f1398,f1399,f1400,f1404,f1405,f67,f1407,f1408,f1409,f1410,f1411,f1412,f1413,f1420,f1421,f1417,f1422,f1423,f44,f1427,f1428,f1429,f1430,f1431,f1432,f1433,f1434,f1435,f1436,f1437,f1438,f1439,f1440,f1442,f1443,f1458,f1459,f575,f1466,f1467,f1468,f1469,f1470,f1471,f1472,f1473,f1477,f1474,f1478,f1475,f1479,f709,f1480,f1481,f662,f1494,f1506,f1495,f1496,f1497,f1498,f1508,f1499,f1509,f1501,f1502,f1503,f1504,f1505,f708,f1510,f1511,f1464,f1523,f1524,f576,f1530,f1531,f1538,f1539,f665,f1540,f1542,f1543,f1544,f1545,f1548,f1549,f1556,f1558,f1559,f710,f1575,f1576,f1565,f1566,f1414,f1577,f1578,f1579,f1580,f1581,f1582,f1583,f1584,f1585,f1586,f1593,f1595,f1596,f1594,f1604,f1605,f1612,f1608,f1609,f1613,f1597,f1615,f1616,f1617,f1618,f1619,f1620,f1621,f1622,f1629,f1625,f1626,f1630,f1598,f1631,f1633,f1634,f1636,f1637,f1638,f1639,f1646,f1642,f1643,f1647,f1599,f1648,f1649,f1652,f1654,f1655,f1656,f1663,f1659,f1660,f1664,f1600,f1665,f1669,f1670,f1672,f1673,f1680,f1676,f1677,f1681,f1601,f1683,f1685,f1689,f1690,f1697,f1693,f1694,f1698,f1602,f1701,f1706,f1707,f1714,f1710,f1711,f1715,f1603,f1723,f1724,f1731,f1727,f1728,f1732,f2,f1734,f1735,f1736,f1738,f1739,f1740,f1741,f1743,f1744,f1745,f1746,f1747,f1748,f1749,f1750,f1751,f1752,f1753,f1754,f1755,f1756,f1757,f1758,f1759,f1760,f1761,f1762,f1763,f1764,f1765,f1766,f1767,f1768,f1769,f1770,f1771,f1772,f1773,f1774,f1775,f1776,f1777,f1778,f1779,f1780,f1781,f1782,f1783,f1784,f1785,f1786,f1787,f1788,f1789,f24,f1790,f1820,f1792,f1821,f1822,f1796,f1823,f1798,f1799,f1800,f1824,f1803,f1805,f1825,f1814,f1826,f1816,f1817,f1818,f1819,f1832,f1833,f1733,f1837,f1840,f1868,f1843,f1870,f1849,f1872,f1873,f1853,f1861,f1863,f33,f1885,f1886,f1887,f1889,f1890,f1891,f1892,f1894,f1895,f1896,f1897,f1898,f1899,f1900,f1901,f1902,f1903,f1904,f1905,f1906,f1907,f1908,f1909,f1910,f1911,f1912,f1913,f1914,f1915,f1916,f1917,f1918,f1919,f1920,f1921,f1922,f1923,f1924,f1925,f1926,f1927,f1928,f1929,f1930,f1931,f1932,f1933,f1934,f1935,f1936,f1937,f1938,f1939,f1940,f1836,f1942,f1947,f1948,f1949,f1950,f1943,f1955,f1963,f1884,f1972,f1975,f1981,f1985,f1994,f1996,f59,f2020,f2034,f2022,f2023,f2024,f2025,f2026,f2027,f2028,f2029,f2030,f2031,f2032,f2033,f1846,f2036,f2037,f2038,f2040,f2041,f2042,f2043,f2044,f1851,f2049,f2050,f2054,f2055,f2056,f2057,f1978,f2062,f2065,f2066,f2070,f1983,f2075,f2083,f60,f2091,f2092,f2093,f2094,f2095,f2096,f2097,f2098,f2099,f2100,f2101,f2102,f2103,f2107,f2109,f2110,f2111,f2112,f2113,f2114,f2117,f2118,f2120,f2121,f2124,f2125,f2108,f2126,f2128,f2129,f2130,f2131,f2132,f2133,f2134,f2135,f2136,f2137,f2153,f2138,f2141,f2142,f2144,f2154,f2155,f2148,f2149,f2156,f2157,f2127,f2158,f2160,f2161,f2162,f2163,f2164,f2165,f2166,f2167,f2168,f2184,f2169,f2172,f2173,f2175,f2185,f2186,f2179,f2180,f2187,f2188,f2145,f2193,f2194,f2195,f2196,f2197,f2198,f2199,f2226,f2200,f2201,f2202,f2203,f2204,f2207,f2208,f2210,f2227,f2228,f2216,f2217,f2219,f2220,f2229,f2230,f2176,f2235,f2237,f2238,f2239,f2240,f2241,f2242,f2243,f2244,f2245,f2246,f2249,f2250,f2252,f2253,f2268,f2269,f2258,f2259,f2261,f2270,f2271,f2105,f2274,f2275,f2277,f2284,f2285,f2278,f2294,f2296,f2297,f2298,f2300,f2301,f2302,f2304,f2309,f2310,f2312,f2319,f2320,f2290,f2325,f2328,f2330,f2331,f2332,f2334,f2335,f2336,f2338,f2341,f2342,f2345,f2346,f2348,f2349,f2356,f2357,f2291,f2363,f2365,f2370,f2371,f2372,f2373,f2375,f2377,f2381,f2382,f2384,f2385,f2391,f2392,f92,f2400,f2420,f2421,f2422,f2423,f2424,f2425,f22,f2450]) ).

fof(f2395,plain,
    ( colinear(a,c,b)
    | ~ spl0_1 ),
    inference(avatar_component_clause,[],[f2394]) ).

fof(f2394,plain,
    ( spl0_1
  <=> colinear(a,c,b) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

fof(f2480,plain,
    ( spl0_2
    | ~ spl0_4 ),
    inference(avatar_contradiction_clause,[],[f2479]) ).

fof(f2479,plain,
    ( $false
    | spl0_2
    | ~ spl0_4 ),
    inference(global_subsumption,[],[f2407,f68,f47,f93,f46,f94,f79,f45,f8,f9,f76,f77,f55,f56,f96,f14,f15,f16,f74,f86,f85,f84,f43,f70,f81,f82,f83,f69,f42,f72,f17,f18,f80,f13,f73,f71,f6,f63,f64,f65,f91,f10,f11,f12,f49,f52,f1,f25,f39,f41,f36,f7,f34,f37,f48,f103,f66,f102,f3,f4,f19,f20,f21,f40,f51,f88,f89,f90,f95,f114,f118,f5,f124,f126,f138,f141,f147,f161,f162,f163,f151,f155,f159,f160,f127,f23,f171,f176,f75,f182,f135,f164,f186,f190,f168,f193,f197,f26,f199,f206,f208,f211,f204,f216,f218,f210,f201,f203,f229,f226,f230,f27,f244,f249,f253,f239,f257,f261,f242,f246,f205,f286,f241,f291,f243,f298,f28,f310,f316,f308,f321,f322,f325,f313,f328,f329,f333,f245,f335,f340,f281,f341,f347,f288,f350,f354,f294,f356,f361,f309,f364,f367,f319,f371,f375,f29,f387,f412,f398,f420,f30,f187,f452,f453,f454,f455,f462,f461,f466,f467,f194,f470,f478,f471,f473,f480,f460,f484,f490,f486,f493,f31,f32,f152,f565,f568,f53,f578,f579,f580,f581,f577,f587,f591,f593,f165,f595,f596,f597,f598,f599,f600,f601,f594,f605,f166,f607,f609,f611,f167,f614,f615,f616,f617,f618,f619,f178,f622,f623,f629,f626,f633,f213,f638,f639,f641,f642,f643,f221,f646,f647,f649,f650,f255,f653,f656,f659,f54,f664,f666,f668,f669,f667,f675,f679,f681,f263,f683,f686,f271,f697,f280,f78,f712,f713,f714,f715,f706,f716,f711,f728,f739,f730,f610,f740,f742,f743,f744,f746,f747,f749,f750,f751,f753,f754,f755,f756,f760,f764,f765,f766,f767,f768,f769,f776,f777,f778,f779,f780,f782,f783,f784,f785,f787,f788,f789,f792,f793,f794,f795,f797,f798,f799,f800,f801,f802,f803,f804,f805,f806,f807,f808,f809,f810,f811,f812,f813,f815,f816,f817,f818,f819,f786,f822,f823,f826,f827,f825,f833,f834,f837,f58,f843,f845,f847,f849,f850,f842,f855,f856,f858,f857,f861,f862,f864,f870,f846,f872,f873,f874,f875,f876,f877,f878,f880,f883,f884,f886,f888,f848,f895,f896,f899,f900,f904,f879,f907,f908,f909,f910,f911,f912,f913,f915,f918,f919,f923,f921,f931,f932,f935,f936,f940,f61,f943,f944,f945,f946,f947,f948,f950,f951,f952,f949,f956,f957,f958,f959,f960,f964,f965,f967,f969,f961,f971,f972,f973,f974,f975,f977,f979,f980,f982,f984,f759,f986,f987,f988,f989,f990,f991,f992,f993,f995,f996,f997,f1000,f761,f1001,f1003,f1004,f1005,f1006,f1118,f1119,f1012,f1013,f1014,f1015,f1016,f1019,f1020,f1024,f1025,f1026,f1027,f1028,f1029,f1030,f1031,f1032,f1033,f1034,f1035,f1036,f1037,f1038,f1039,f1040,f1041,f1042,f1043,f1044,f1045,f1046,f1047,f1048,f1049,f1050,f1051,f1052,f1053,f1120,f1121,f1122,f1123,f1124,f1125,f1126,f1127,f1128,f1129,f1064,f1065,f1066,f1067,f1068,f1069,f1072,f1076,f1135,f1078,f1136,f1137,f1138,f1145,f1089,f1146,f1091,f1092,f1147,f1148,f1149,f1150,f1151,f1152,f1153,f1154,f1155,f1156,f1103,f1104,f1105,f1106,f1157,f1158,f1159,f1160,f1161,f1162,f1163,f1164,f1115,f1116,f1117,f62,f1167,f1168,f1169,f1171,f1172,f1173,f1174,f1175,f1176,f1177,f1178,f1166,f1183,f1184,f1185,f1186,f1188,f1187,f1191,f1192,f1194,f1195,f1202,f1203,f1170,f1206,f1207,f1208,f1209,f1210,f1211,f1214,f1215,f1217,f1218,f1221,f1222,f1205,f1227,f1228,f1229,f1230,f1231,f1232,f1235,f1236,f1238,f1239,f1242,f1243,f762,f1244,f1245,f1246,f1247,f1248,f1249,f1251,f1253,f1254,f1255,f1256,f1260,f1261,f770,f1264,f1265,f1267,f1268,f1269,f1270,f1272,f1273,f1274,f1275,f1279,f1280,f771,f1282,f1283,f1285,f1286,f1288,f1290,f1291,f1292,f1293,f1297,f1298,f772,f1299,f1302,f1305,f1306,f1308,f1309,f1310,f1311,f1315,f1316,f773,f1317,f1323,f1324,f1326,f1327,f1328,f1329,f1333,f1334,f774,f1339,f1343,f1345,f1346,f1347,f1348,f1352,f1353,f87,f1359,f1360,f1361,f1362,f1373,f1374,f1375,f1376,f1378,f1379,f1381,f1383,f1384,f775,f1394,f1395,f1397,f1398,f1399,f1400,f1404,f1405,f67,f1407,f1408,f1409,f1410,f1411,f1412,f1413,f1420,f1421,f1417,f1422,f1423,f44,f1427,f1428,f1429,f1430,f1431,f1432,f1433,f1434,f1435,f1436,f1437,f1438,f1439,f1440,f1442,f1443,f1458,f1459,f575,f1466,f1467,f1468,f1469,f1470,f1471,f1472,f1473,f1477,f1474,f1478,f1475,f1479,f709,f1480,f1481,f662,f1494,f1506,f1495,f1496,f1497,f1498,f1508,f1499,f1509,f1501,f1502,f1503,f1504,f1505,f708,f1510,f1511,f1464,f1523,f1524,f576,f1530,f1531,f1538,f1539,f665,f1540,f1542,f1543,f1544,f1545,f1548,f1549,f1556,f1558,f1559,f710,f1575,f1576,f1565,f1566,f1414,f1577,f1578,f1579,f1580,f1581,f1582,f1583,f1584,f1585,f1586,f1593,f1595,f1596,f1594,f1604,f1605,f1612,f1608,f1609,f1613,f1597,f1615,f1616,f1617,f1618,f1619,f1620,f1621,f1622,f1629,f1625,f1626,f1630,f1598,f1631,f1633,f1634,f1636,f1637,f1638,f1639,f1646,f1642,f1643,f1647,f1599,f1648,f1649,f1652,f1654,f1655,f1656,f1663,f1659,f1660,f1664,f1600,f1665,f1669,f1670,f1672,f1673,f1680,f1676,f1677,f1681,f1601,f1683,f1685,f1689,f1690,f1697,f1693,f1694,f1698,f1602,f1701,f1706,f1707,f1714,f1710,f1711,f1715,f1603,f1723,f1724,f1731,f1727,f1728,f1732,f2,f1734,f1735,f1736,f1738,f1739,f1740,f1741,f1743,f1744,f1745,f1746,f1747,f1748,f1749,f1750,f1751,f1752,f1753,f1754,f1755,f1756,f1757,f1758,f1759,f1760,f1761,f1762,f1763,f1764,f1765,f1766,f1767,f1768,f1769,f1770,f1771,f1772,f1773,f1774,f1775,f1776,f1777,f1778,f1779,f1780,f1781,f1782,f1783,f1784,f1785,f1786,f1787,f1788,f1789,f24,f1790,f1820,f1792,f1821,f1822,f1796,f1823,f1798,f1799,f1800,f1824,f1803,f1805,f1825,f1814,f1826,f1816,f1817,f1818,f1819,f1832,f1833,f1733,f1837,f1840,f1868,f1843,f1870,f1849,f1872,f1873,f1853,f1861,f1863,f33,f1885,f1886,f1887,f1889,f1890,f1891,f1892,f1894,f1895,f1896,f1897,f1898,f1899,f1900,f1901,f1902,f1903,f1904,f1905,f1906,f1907,f1908,f1909,f1910,f1911,f1912,f1913,f1914,f1915,f1916,f1917,f1918,f1919,f1920,f1921,f1922,f1923,f1924,f1925,f1926,f1927,f1928,f1929,f1930,f1931,f1932,f1933,f1934,f1935,f1936,f1937,f1938,f1939,f1940,f1836,f1942,f1947,f1948,f1949,f1950,f1943,f1955,f1963,f1884,f1972,f1975,f1981,f1985,f1994,f1996,f59,f2020,f2034,f2022,f2023,f2024,f2025,f2026,f2027,f2028,f2029,f2030,f2031,f2032,f2033,f1846,f2036,f2037,f2038,f2040,f2041,f2042,f2043,f2044,f1851,f2049,f2050,f2054,f2055,f2056,f2057,f1978,f2062,f2065,f2066,f2070,f1983,f2075,f2083,f60,f2091,f2092,f2093,f2094,f2095,f2096,f2097,f2098,f2099,f2100,f2101,f2102,f2103,f2107,f2109,f2110,f2111,f2112,f2113,f2114,f2117,f2118,f2120,f2121,f2124,f2125,f2108,f2126,f2128,f2129,f2130,f2131,f2132,f2133,f2134,f2135,f2136,f2137,f2153,f2138,f2141,f2142,f2144,f2154,f2155,f2148,f2149,f2156,f2157,f2127,f2158,f2160,f2161,f2162,f2163,f2164,f2165,f2166,f2167,f2168,f2184,f2169,f2172,f2173,f2175,f2185,f2186,f2179,f2180,f2187,f2188,f2145,f2193,f2194,f2195,f2196,f2197,f2198,f2199,f2226,f2200,f2201,f2202,f2203,f2204,f2207,f2208,f2210,f2227,f2228,f2216,f2217,f2219,f2220,f2229,f2230,f2176,f2235,f2237,f2238,f2239,f2240,f2241,f2242,f2243,f2244,f2245,f2246,f2249,f2250,f2252,f2253,f2268,f2269,f2258,f2259,f2261,f2270,f2271,f2105,f2274,f2275,f2277,f2284,f2285,f2278,f2294,f2296,f2297,f2298,f2300,f2301,f2302,f2304,f2309,f2310,f2312,f2319,f2320,f2290,f2325,f2328,f2330,f2331,f2332,f2334,f2335,f2336,f2338,f2341,f2342,f2345,f2346,f2348,f2349,f2356,f2357,f2291,f2363,f2365,f2370,f2371,f2372,f2373,f2375,f2377,f2381,f2382,f2384,f2385,f2391,f2392,f92,f2400,f2420,f2421,f2422,f2423,f2424,f2425,f22,f2450]) ).

fof(f2407,plain,
    ( colinear(c,a,b)
    | ~ spl0_4 ),
    inference(avatar_component_clause,[],[f2406]) ).

fof(f2406,plain,
    ( spl0_4
  <=> colinear(c,a,b) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).

fof(f2478,plain,
    ( spl0_3
    | ~ spl0_4 ),
    inference(avatar_contradiction_clause,[],[f2477]) ).

fof(f2477,plain,
    ( $false
    | spl0_3
    | ~ spl0_4 ),
    inference(global_subsumption,[],[f2407,f68,f47,f93,f46,f94,f79,f45,f8,f9,f76,f77,f55,f56,f96,f14,f15,f16,f74,f86,f85,f84,f43,f70,f81,f82,f83,f69,f42,f72,f17,f18,f80,f13,f73,f71,f6,f63,f64,f65,f91,f10,f11,f12,f49,f52,f1,f25,f39,f41,f36,f7,f34,f37,f48,f103,f66,f102,f3,f4,f19,f20,f21,f40,f51,f88,f89,f90,f95,f114,f118,f5,f124,f126,f138,f141,f147,f161,f162,f163,f151,f155,f159,f160,f127,f23,f171,f176,f75,f182,f135,f164,f186,f190,f168,f193,f197,f26,f199,f206,f208,f211,f204,f216,f218,f210,f201,f203,f229,f226,f230,f27,f244,f249,f253,f239,f257,f261,f242,f246,f205,f286,f241,f291,f243,f298,f28,f310,f316,f308,f321,f322,f325,f313,f328,f329,f333,f245,f335,f340,f281,f341,f347,f288,f350,f354,f294,f356,f361,f309,f364,f367,f319,f371,f375,f29,f387,f412,f398,f420,f30,f187,f452,f453,f454,f455,f462,f461,f466,f467,f194,f470,f478,f471,f473,f480,f460,f484,f490,f486,f493,f31,f32,f152,f565,f568,f53,f578,f579,f580,f581,f577,f587,f591,f593,f165,f595,f596,f597,f598,f599,f600,f601,f594,f605,f166,f607,f609,f611,f167,f614,f615,f616,f617,f618,f619,f178,f622,f623,f629,f626,f633,f213,f638,f639,f641,f642,f643,f221,f646,f647,f649,f650,f255,f653,f656,f659,f54,f664,f666,f668,f669,f667,f675,f679,f681,f263,f683,f686,f271,f697,f280,f78,f712,f713,f714,f715,f706,f716,f711,f728,f739,f730,f610,f740,f742,f743,f744,f746,f747,f749,f750,f751,f753,f754,f755,f756,f760,f764,f765,f766,f767,f768,f769,f776,f777,f778,f779,f780,f782,f783,f784,f785,f787,f788,f789,f792,f793,f794,f795,f797,f798,f799,f800,f801,f802,f803,f804,f805,f806,f807,f808,f809,f810,f811,f812,f813,f815,f816,f817,f818,f819,f786,f822,f823,f826,f827,f825,f833,f834,f837,f58,f843,f845,f847,f849,f850,f842,f855,f856,f858,f857,f861,f862,f864,f870,f846,f872,f873,f874,f875,f876,f877,f878,f880,f883,f884,f886,f888,f848,f895,f896,f899,f900,f904,f879,f907,f908,f909,f910,f911,f912,f913,f915,f918,f919,f923,f921,f931,f932,f935,f936,f940,f61,f943,f944,f945,f946,f947,f948,f950,f951,f952,f949,f956,f957,f958,f959,f960,f964,f965,f967,f969,f961,f971,f972,f973,f974,f975,f977,f979,f980,f982,f984,f759,f986,f987,f988,f989,f990,f991,f992,f993,f995,f996,f997,f1000,f761,f1001,f1003,f1004,f1005,f1006,f1118,f1119,f1012,f1013,f1014,f1015,f1016,f1019,f1020,f1024,f1025,f1026,f1027,f1028,f1029,f1030,f1031,f1032,f1033,f1034,f1035,f1036,f1037,f1038,f1039,f1040,f1041,f1042,f1043,f1044,f1045,f1046,f1047,f1048,f1049,f1050,f1051,f1052,f1053,f1120,f1121,f1122,f1123,f1124,f1125,f1126,f1127,f1128,f1129,f1064,f1065,f1066,f1067,f1068,f1069,f1072,f1076,f1135,f1078,f1136,f1137,f1138,f1145,f1089,f1146,f1091,f1092,f1147,f1148,f1149,f1150,f1151,f1152,f1153,f1154,f1155,f1156,f1103,f1104,f1105,f1106,f1157,f1158,f1159,f1160,f1161,f1162,f1163,f1164,f1115,f1116,f1117,f62,f1167,f1168,f1169,f1171,f1172,f1173,f1174,f1175,f1176,f1177,f1178,f1166,f1183,f1184,f1185,f1186,f1188,f1187,f1191,f1192,f1194,f1195,f1202,f1203,f1170,f1206,f1207,f1208,f1209,f1210,f1211,f1214,f1215,f1217,f1218,f1221,f1222,f1205,f1227,f1228,f1229,f1230,f1231,f1232,f1235,f1236,f1238,f1239,f1242,f1243,f762,f1244,f1245,f1246,f1247,f1248,f1249,f1251,f1253,f1254,f1255,f1256,f1260,f1261,f770,f1264,f1265,f1267,f1268,f1269,f1270,f1272,f1273,f1274,f1275,f1279,f1280,f771,f1282,f1283,f1285,f1286,f1288,f1290,f1291,f1292,f1293,f1297,f1298,f772,f1299,f1302,f1305,f1306,f1308,f1309,f1310,f1311,f1315,f1316,f773,f1317,f1323,f1324,f1326,f1327,f1328,f1329,f1333,f1334,f774,f1339,f1343,f1345,f1346,f1347,f1348,f1352,f1353,f87,f1359,f1360,f1361,f1362,f1373,f1374,f1375,f1376,f1378,f1379,f1381,f1383,f1384,f775,f1394,f1395,f1397,f1398,f1399,f1400,f1404,f1405,f67,f1407,f1408,f1409,f1410,f1411,f1412,f1413,f1420,f1421,f1417,f1422,f1423,f44,f1427,f1428,f1429,f1430,f1431,f1432,f1433,f1434,f1435,f1436,f1437,f1438,f1439,f1440,f1442,f1443,f1458,f1459,f575,f1466,f1467,f1468,f1469,f1470,f1471,f1472,f1473,f1477,f1474,f1478,f1475,f1479,f709,f1480,f1481,f662,f1494,f1506,f1495,f1496,f1497,f1498,f1508,f1499,f1509,f1501,f1502,f1503,f1504,f1505,f708,f1510,f1511,f1464,f1523,f1524,f576,f1530,f1531,f1538,f1539,f665,f1540,f1542,f1543,f1544,f1545,f1548,f1549,f1556,f1558,f1559,f710,f1575,f1576,f1565,f1566,f1414,f1577,f1578,f1579,f1580,f1581,f1582,f1583,f1584,f1585,f1586,f1593,f1595,f1596,f1594,f1604,f1605,f1612,f1608,f1609,f1613,f1597,f1615,f1616,f1617,f1618,f1619,f1620,f1621,f1622,f1629,f1625,f1626,f1630,f1598,f1631,f1633,f1634,f1636,f1637,f1638,f1639,f1646,f1642,f1643,f1647,f1599,f1648,f1649,f1652,f1654,f1655,f1656,f1663,f1659,f1660,f1664,f1600,f1665,f1669,f1670,f1672,f1673,f1680,f1676,f1677,f1681,f1601,f1683,f1685,f1689,f1690,f1697,f1693,f1694,f1698,f1602,f1701,f1706,f1707,f1714,f1710,f1711,f1715,f1603,f1723,f1724,f1731,f1727,f1728,f1732,f2,f1734,f1735,f1736,f1738,f1739,f1740,f1741,f1743,f1744,f1745,f1746,f1747,f1748,f1749,f1750,f1751,f1752,f1753,f1754,f1755,f1756,f1757,f1758,f1759,f1760,f1761,f1762,f1763,f1764,f1765,f1766,f1767,f1768,f1769,f1770,f1771,f1772,f1773,f1774,f1775,f1776,f1777,f1778,f1779,f1780,f1781,f1782,f1783,f1784,f1785,f1786,f1787,f1788,f1789,f24,f1790,f1820,f1792,f1821,f1822,f1796,f1823,f1798,f1799,f1800,f1824,f1803,f1805,f1825,f1814,f1826,f1816,f1817,f1818,f1819,f1832,f1833,f1733,f1837,f1840,f1868,f1843,f1870,f1849,f1872,f1873,f1853,f1861,f1863,f33,f1885,f1886,f1887,f1889,f1890,f1891,f1892,f1894,f1895,f1896,f1897,f1898,f1899,f1900,f1901,f1902,f1903,f1904,f1905,f1906,f1907,f1908,f1909,f1910,f1911,f1912,f1913,f1914,f1915,f1916,f1917,f1918,f1919,f1920,f1921,f1922,f1923,f1924,f1925,f1926,f1927,f1928,f1929,f1930,f1931,f1932,f1933,f1934,f1935,f1936,f1937,f1938,f1939,f1940,f1836,f1942,f1947,f1948,f1949,f1950,f1943,f1955,f1963,f1884,f1972,f1975,f1981,f1985,f1994,f1996,f59,f2020,f2034,f2022,f2023,f2024,f2025,f2026,f2027,f2028,f2029,f2030,f2031,f2032,f2033,f1846,f2036,f2037,f2038,f2040,f2041,f2042,f2043,f2044,f1851,f2049,f2050,f2054,f2055,f2056,f2057,f1978,f2062,f2065,f2066,f2070,f1983,f2075,f2083,f60,f2091,f2092,f2093,f2094,f2095,f2096,f2097,f2098,f2099,f2100,f2101,f2102,f2103,f2107,f2109,f2110,f2111,f2112,f2113,f2114,f2117,f2118,f2120,f2121,f2124,f2125,f2108,f2126,f2128,f2129,f2130,f2131,f2132,f2133,f2134,f2135,f2136,f2137,f2153,f2138,f2141,f2142,f2144,f2154,f2155,f2148,f2149,f2156,f2157,f2127,f2158,f2160,f2161,f2162,f2163,f2164,f2165,f2166,f2167,f2168,f2184,f2169,f2172,f2173,f2175,f2185,f2186,f2179,f2180,f2187,f2188,f2145,f2193,f2194,f2195,f2196,f2197,f2198,f2199,f2226,f2200,f2201,f2202,f2203,f2204,f2207,f2208,f2210,f2227,f2228,f2216,f2217,f2219,f2220,f2229,f2230,f2176,f2235,f2237,f2238,f2239,f2240,f2241,f2242,f2243,f2244,f2245,f2246,f2249,f2250,f2252,f2253,f2268,f2269,f2258,f2259,f2261,f2270,f2271,f2105,f2274,f2275,f2277,f2284,f2285,f2278,f2294,f2296,f2297,f2298,f2300,f2301,f2302,f2304,f2309,f2310,f2312,f2319,f2320,f2290,f2325,f2328,f2330,f2331,f2332,f2334,f2335,f2336,f2338,f2341,f2342,f2345,f2346,f2348,f2349,f2356,f2357,f2291,f2363,f2365,f2370,f2371,f2372,f2373,f2375,f2377,f2381,f2382,f2384,f2385,f2391,f2392,f92,f2404,f2426,f2427,f2428,f2429,f2430,f2431,f22,f2450]) ).

fof(f2431,plain,
    ( ~ between(b,c,a)
    | spl0_3 ),
    inference(resolution,[],[f2404,f19]) ).

fof(f2430,plain,
    ( ~ between(c,a,b)
    | spl0_3 ),
    inference(resolution,[],[f2404,f20]) ).

fof(f2429,plain,
    ( ~ between(a,b,c)
    | spl0_3 ),
    inference(resolution,[],[f2404,f21]) ).

fof(f2428,plain,
    ( ~ between(a,c,b)
    | spl0_3 ),
    inference(resolution,[],[f2404,f88]) ).

fof(f2427,plain,
    ( ~ between(b,a,c)
    | spl0_3 ),
    inference(resolution,[],[f2404,f89]) ).

fof(f2426,plain,
    ( ~ between(c,b,a)
    | spl0_3 ),
    inference(resolution,[],[f2404,f90]) ).

fof(f2404,plain,
    ( ~ colinear(b,c,a)
    | spl0_3 ),
    inference(avatar_component_clause,[],[f2402]) ).

fof(f2476,plain,
    ( ~ spl0_1
    | spl0_3 ),
    inference(avatar_contradiction_clause,[],[f2475]) ).

fof(f2475,plain,
    ( $false
    | ~ spl0_1
    | spl0_3 ),
    inference(global_subsumption,[],[f2395,f68,f47,f93,f46,f94,f79,f45,f8,f9,f76,f77,f55,f56,f96,f14,f15,f16,f74,f86,f85,f84,f43,f70,f81,f82,f83,f69,f42,f72,f17,f18,f80,f13,f73,f71,f6,f63,f64,f65,f91,f10,f11,f12,f49,f52,f1,f25,f39,f41,f36,f7,f34,f37,f48,f103,f66,f102,f3,f4,f19,f20,f21,f40,f51,f88,f89,f90,f95,f114,f118,f5,f124,f126,f138,f141,f147,f161,f162,f163,f151,f155,f159,f160,f127,f23,f171,f176,f75,f182,f135,f164,f186,f190,f168,f193,f197,f26,f199,f206,f208,f211,f204,f216,f218,f210,f201,f203,f229,f226,f230,f27,f244,f249,f253,f239,f257,f261,f242,f246,f205,f286,f241,f291,f243,f298,f28,f310,f316,f308,f321,f322,f325,f313,f328,f329,f333,f245,f335,f340,f281,f341,f347,f288,f350,f354,f294,f356,f361,f309,f364,f367,f319,f371,f375,f29,f387,f412,f398,f420,f30,f187,f452,f453,f454,f455,f462,f461,f466,f467,f194,f470,f478,f471,f473,f480,f460,f484,f490,f486,f493,f31,f32,f152,f565,f568,f53,f578,f579,f580,f581,f577,f587,f591,f593,f165,f595,f596,f597,f598,f599,f600,f601,f594,f605,f166,f607,f609,f611,f167,f614,f615,f616,f617,f618,f619,f178,f622,f623,f629,f626,f633,f213,f638,f639,f641,f642,f643,f221,f646,f647,f649,f650,f255,f653,f656,f659,f54,f664,f666,f668,f669,f667,f675,f679,f681,f263,f683,f686,f271,f697,f280,f78,f712,f713,f714,f715,f706,f716,f711,f728,f739,f730,f610,f740,f742,f743,f744,f746,f747,f749,f750,f751,f753,f754,f755,f756,f760,f764,f765,f766,f767,f768,f769,f776,f777,f778,f779,f780,f782,f783,f784,f785,f787,f788,f789,f792,f793,f794,f795,f797,f798,f799,f800,f801,f802,f803,f804,f805,f806,f807,f808,f809,f810,f811,f812,f813,f815,f816,f817,f818,f819,f786,f822,f823,f826,f827,f825,f833,f834,f837,f58,f843,f845,f847,f849,f850,f842,f855,f856,f858,f857,f861,f862,f864,f870,f846,f872,f873,f874,f875,f876,f877,f878,f880,f883,f884,f886,f888,f848,f895,f896,f899,f900,f904,f879,f907,f908,f909,f910,f911,f912,f913,f915,f918,f919,f923,f921,f931,f932,f935,f936,f940,f61,f943,f944,f945,f946,f947,f948,f950,f951,f952,f949,f956,f957,f958,f959,f960,f964,f965,f967,f969,f961,f971,f972,f973,f974,f975,f977,f979,f980,f982,f984,f759,f986,f987,f988,f989,f990,f991,f992,f993,f995,f996,f997,f1000,f761,f1001,f1003,f1004,f1005,f1006,f1118,f1119,f1012,f1013,f1014,f1015,f1016,f1019,f1020,f1024,f1025,f1026,f1027,f1028,f1029,f1030,f1031,f1032,f1033,f1034,f1035,f1036,f1037,f1038,f1039,f1040,f1041,f1042,f1043,f1044,f1045,f1046,f1047,f1048,f1049,f1050,f1051,f1052,f1053,f1120,f1121,f1122,f1123,f1124,f1125,f1126,f1127,f1128,f1129,f1064,f1065,f1066,f1067,f1068,f1069,f1072,f1076,f1135,f1078,f1136,f1137,f1138,f1145,f1089,f1146,f1091,f1092,f1147,f1148,f1149,f1150,f1151,f1152,f1153,f1154,f1155,f1156,f1103,f1104,f1105,f1106,f1157,f1158,f1159,f1160,f1161,f1162,f1163,f1164,f1115,f1116,f1117,f62,f1167,f1168,f1169,f1171,f1172,f1173,f1174,f1175,f1176,f1177,f1178,f1166,f1183,f1184,f1185,f1186,f1188,f1187,f1191,f1192,f1194,f1195,f1202,f1203,f1170,f1206,f1207,f1208,f1209,f1210,f1211,f1214,f1215,f1217,f1218,f1221,f1222,f1205,f1227,f1228,f1229,f1230,f1231,f1232,f1235,f1236,f1238,f1239,f1242,f1243,f762,f1244,f1245,f1246,f1247,f1248,f1249,f1251,f1253,f1254,f1255,f1256,f1260,f1261,f770,f1264,f1265,f1267,f1268,f1269,f1270,f1272,f1273,f1274,f1275,f1279,f1280,f771,f1282,f1283,f1285,f1286,f1288,f1290,f1291,f1292,f1293,f1297,f1298,f772,f1299,f1302,f1305,f1306,f1308,f1309,f1310,f1311,f1315,f1316,f773,f1317,f1323,f1324,f1326,f1327,f1328,f1329,f1333,f1334,f774,f1339,f1343,f1345,f1346,f1347,f1348,f1352,f1353,f87,f1359,f1360,f1361,f1362,f1373,f1374,f1375,f1376,f1378,f1379,f1381,f1383,f1384,f775,f1394,f1395,f1397,f1398,f1399,f1400,f1404,f1405,f67,f1407,f1408,f1409,f1410,f1411,f1412,f1413,f1420,f1421,f1417,f1422,f1423,f44,f1427,f1428,f1429,f1430,f1431,f1432,f1433,f1434,f1435,f1436,f1437,f1438,f1439,f1440,f1442,f1443,f1458,f1459,f575,f1466,f1467,f1468,f1469,f1470,f1471,f1472,f1473,f1477,f1474,f1478,f1475,f1479,f709,f1480,f1481,f662,f1494,f1506,f1495,f1496,f1497,f1498,f1508,f1499,f1509,f1501,f1502,f1503,f1504,f1505,f708,f1510,f1511,f1464,f1523,f1524,f576,f1530,f1531,f1538,f1539,f665,f1540,f1542,f1543,f1544,f1545,f1548,f1549,f1556,f1558,f1559,f710,f1575,f1576,f1565,f1566,f1414,f1577,f1578,f1579,f1580,f1581,f1582,f1583,f1584,f1585,f1586,f1593,f1595,f1596,f1594,f1604,f1605,f1612,f1608,f1609,f1613,f1597,f1615,f1616,f1617,f1618,f1619,f1620,f1621,f1622,f1629,f1625,f1626,f1630,f1598,f1631,f1633,f1634,f1636,f1637,f1638,f1639,f1646,f1642,f1643,f1647,f1599,f1648,f1649,f1652,f1654,f1655,f1656,f1663,f1659,f1660,f1664,f1600,f1665,f1669,f1670,f1672,f1673,f1680,f1676,f1677,f1681,f1601,f1683,f1685,f1689,f1690,f1697,f1693,f1694,f1698,f1602,f1701,f1706,f1707,f1714,f1710,f1711,f1715,f1603,f1723,f1724,f1731,f1727,f1728,f1732,f2,f1734,f1735,f1736,f1738,f1739,f1740,f1741,f1743,f1744,f1745,f1746,f1747,f1748,f1749,f1750,f1751,f1752,f1753,f1754,f1755,f1756,f1757,f1758,f1759,f1760,f1761,f1762,f1763,f1764,f1765,f1766,f1767,f1768,f1769,f1770,f1771,f1772,f1773,f1774,f1775,f1776,f1777,f1778,f1779,f1780,f1781,f1782,f1783,f1784,f1785,f1786,f1787,f1788,f1789,f24,f1790,f1820,f1792,f1821,f1822,f1796,f1823,f1798,f1799,f1800,f1824,f1803,f1805,f1825,f1814,f1826,f1816,f1817,f1818,f1819,f1832,f1833,f1733,f1837,f1840,f1868,f1843,f1870,f1849,f1872,f1873,f1853,f1861,f1863,f33,f1885,f1886,f1887,f1889,f1890,f1891,f1892,f1894,f1895,f1896,f1897,f1898,f1899,f1900,f1901,f1902,f1903,f1904,f1905,f1906,f1907,f1908,f1909,f1910,f1911,f1912,f1913,f1914,f1915,f1916,f1917,f1918,f1919,f1920,f1921,f1922,f1923,f1924,f1925,f1926,f1927,f1928,f1929,f1930,f1931,f1932,f1933,f1934,f1935,f1936,f1937,f1938,f1939,f1940,f1836,f1942,f1947,f1948,f1949,f1950,f1943,f1955,f1963,f1884,f1972,f1975,f1981,f1985,f1994,f1996,f59,f2020,f2034,f2022,f2023,f2024,f2025,f2026,f2027,f2028,f2029,f2030,f2031,f2032,f2033,f1846,f2036,f2037,f2038,f2040,f2041,f2042,f2043,f2044,f1851,f2049,f2050,f2054,f2055,f2056,f2057,f1978,f2062,f2065,f2066,f2070,f1983,f2075,f2083,f60,f2091,f2092,f2093,f2094,f2095,f2096,f2097,f2098,f2099,f2100,f2101,f2102,f2103,f2107,f2109,f2110,f2111,f2112,f2113,f2114,f2117,f2118,f2120,f2121,f2124,f2125,f2108,f2126,f2128,f2129,f2130,f2131,f2132,f2133,f2134,f2135,f2136,f2137,f2153,f2138,f2141,f2142,f2144,f2154,f2155,f2148,f2149,f2156,f2157,f2127,f2158,f2160,f2161,f2162,f2163,f2164,f2165,f2166,f2167,f2168,f2184,f2169,f2172,f2173,f2175,f2185,f2186,f2179,f2180,f2187,f2188,f2145,f2193,f2194,f2195,f2196,f2197,f2198,f2199,f2226,f2200,f2201,f2202,f2203,f2204,f2207,f2208,f2210,f2227,f2228,f2216,f2217,f2219,f2220,f2229,f2230,f2176,f2235,f2237,f2238,f2239,f2240,f2241,f2242,f2243,f2244,f2245,f2246,f2249,f2250,f2252,f2253,f2268,f2269,f2258,f2259,f2261,f2270,f2271,f2105,f2274,f2275,f2277,f2284,f2285,f2278,f2294,f2296,f2297,f2298,f2300,f2301,f2302,f2304,f2309,f2310,f2312,f2319,f2320,f2290,f2325,f2328,f2330,f2331,f2332,f2334,f2335,f2336,f2338,f2341,f2342,f2345,f2346,f2348,f2349,f2356,f2357,f2291,f2363,f2365,f2370,f2371,f2372,f2373,f2375,f2377,f2381,f2382,f2384,f2385,f2391,f2392,f92,f2404,f2426,f2427,f2428,f2429,f2430,f2431,f22,f2450]) ).

fof(f2474,plain,
    spl0_3,
    inference(avatar_contradiction_clause,[],[f2473]) ).

fof(f2473,plain,
    ( $false
    | spl0_3 ),
    inference(global_subsumption,[],[f68,f47,f93,f46,f94,f79,f45,f8,f9,f76,f77,f55,f56,f96,f14,f15,f16,f74,f86,f85,f84,f43,f70,f81,f82,f83,f69,f42,f72,f17,f18,f80,f13,f73,f71,f6,f63,f64,f65,f91,f10,f11,f12,f49,f52,f1,f25,f39,f41,f36,f7,f34,f37,f48,f103,f66,f102,f3,f4,f19,f20,f21,f40,f51,f88,f89,f90,f95,f114,f118,f5,f124,f126,f138,f141,f147,f161,f162,f163,f151,f155,f159,f160,f127,f23,f171,f176,f75,f182,f135,f164,f186,f190,f168,f193,f197,f26,f199,f206,f208,f211,f204,f216,f218,f210,f201,f203,f229,f226,f230,f27,f244,f249,f253,f239,f257,f261,f242,f246,f205,f286,f241,f291,f243,f298,f28,f310,f316,f308,f321,f322,f325,f313,f328,f329,f333,f245,f335,f340,f281,f341,f347,f288,f350,f354,f294,f356,f361,f309,f364,f367,f319,f371,f375,f29,f387,f412,f398,f420,f30,f187,f452,f453,f454,f455,f462,f461,f466,f467,f194,f470,f478,f471,f473,f480,f460,f484,f490,f486,f493,f31,f32,f152,f565,f568,f53,f578,f579,f580,f581,f577,f587,f591,f593,f165,f595,f596,f597,f598,f599,f600,f601,f594,f605,f166,f607,f609,f611,f167,f614,f615,f616,f617,f618,f619,f178,f622,f623,f629,f626,f633,f213,f638,f639,f641,f642,f643,f221,f646,f647,f649,f650,f255,f653,f656,f659,f54,f664,f666,f668,f669,f667,f675,f679,f681,f263,f683,f686,f271,f697,f280,f78,f712,f713,f714,f715,f706,f716,f711,f728,f739,f730,f610,f740,f742,f743,f744,f746,f747,f749,f750,f751,f753,f754,f755,f756,f760,f764,f765,f766,f767,f768,f769,f776,f777,f778,f779,f780,f782,f783,f784,f785,f787,f788,f789,f792,f793,f794,f795,f797,f798,f799,f800,f801,f802,f803,f804,f805,f806,f807,f808,f809,f810,f811,f812,f813,f815,f816,f817,f818,f819,f786,f822,f823,f826,f827,f825,f833,f834,f837,f58,f843,f845,f847,f849,f850,f842,f855,f856,f858,f857,f861,f862,f864,f870,f846,f872,f873,f874,f875,f876,f877,f878,f880,f883,f884,f886,f888,f848,f895,f896,f899,f900,f904,f879,f907,f908,f909,f910,f911,f912,f913,f915,f918,f919,f923,f921,f931,f932,f935,f936,f940,f61,f943,f944,f945,f946,f947,f948,f950,f951,f952,f949,f956,f957,f958,f959,f960,f964,f965,f967,f969,f961,f971,f972,f973,f974,f975,f977,f979,f980,f982,f984,f759,f986,f987,f988,f989,f990,f991,f992,f993,f995,f996,f997,f1000,f761,f1001,f1003,f1004,f1005,f1006,f1118,f1119,f1012,f1013,f1014,f1015,f1016,f1019,f1020,f1024,f1025,f1026,f1027,f1028,f1029,f1030,f1031,f1032,f1033,f1034,f1035,f1036,f1037,f1038,f1039,f1040,f1041,f1042,f1043,f1044,f1045,f1046,f1047,f1048,f1049,f1050,f1051,f1052,f1053,f1120,f1121,f1122,f1123,f1124,f1125,f1126,f1127,f1128,f1129,f1064,f1065,f1066,f1067,f1068,f1069,f1072,f1076,f1135,f1078,f1136,f1137,f1138,f1145,f1089,f1146,f1091,f1092,f1147,f1148,f1149,f1150,f1151,f1152,f1153,f1154,f1155,f1156,f1103,f1104,f1105,f1106,f1157,f1158,f1159,f1160,f1161,f1162,f1163,f1164,f1115,f1116,f1117,f62,f1167,f1168,f1169,f1171,f1172,f1173,f1174,f1175,f1176,f1177,f1178,f1166,f1183,f1184,f1185,f1186,f1188,f1187,f1191,f1192,f1194,f1195,f1202,f1203,f1170,f1206,f1207,f1208,f1209,f1210,f1211,f1214,f1215,f1217,f1218,f1221,f1222,f1205,f1227,f1228,f1229,f1230,f1231,f1232,f1235,f1236,f1238,f1239,f1242,f1243,f762,f1244,f1245,f1246,f1247,f1248,f1249,f1251,f1253,f1254,f1255,f1256,f1260,f1261,f770,f1264,f1265,f1267,f1268,f1269,f1270,f1272,f1273,f1274,f1275,f1279,f1280,f771,f1282,f1283,f1285,f1286,f1288,f1290,f1291,f1292,f1293,f1297,f1298,f772,f1299,f1302,f1305,f1306,f1308,f1309,f1310,f1311,f1315,f1316,f773,f1317,f1323,f1324,f1326,f1327,f1328,f1329,f1333,f1334,f774,f1339,f1343,f1345,f1346,f1347,f1348,f1352,f1353,f87,f1359,f1360,f1361,f1362,f1373,f1374,f1375,f1376,f1378,f1379,f1381,f1383,f1384,f775,f1394,f1395,f1397,f1398,f1399,f1400,f1404,f1405,f67,f1407,f1408,f1409,f1410,f1411,f1412,f1413,f1420,f1421,f1417,f1422,f1423,f44,f1427,f1428,f1429,f1430,f1431,f1432,f1433,f1434,f1435,f1436,f1437,f1438,f1439,f1440,f1442,f1443,f1458,f1459,f575,f1466,f1467,f1468,f1469,f1470,f1471,f1472,f1473,f1477,f1474,f1478,f1475,f1479,f709,f1480,f1481,f662,f1494,f1506,f1495,f1496,f1497,f1498,f1508,f1499,f1509,f1501,f1502,f1503,f1504,f1505,f708,f1510,f1511,f1464,f1523,f1524,f576,f1530,f1531,f1538,f1539,f665,f1540,f1542,f1543,f1544,f1545,f1548,f1549,f1556,f1558,f1559,f710,f1575,f1576,f1565,f1566,f1414,f1577,f1578,f1579,f1580,f1581,f1582,f1583,f1584,f1585,f1586,f1593,f1595,f1596,f1594,f1604,f1605,f1612,f1608,f1609,f1613,f1597,f1615,f1616,f1617,f1618,f1619,f1620,f1621,f1622,f1629,f1625,f1626,f1630,f1598,f1631,f1633,f1634,f1636,f1637,f1638,f1639,f1646,f1642,f1643,f1647,f1599,f1648,f1649,f1652,f1654,f1655,f1656,f1663,f1659,f1660,f1664,f1600,f1665,f1669,f1670,f1672,f1673,f1680,f1676,f1677,f1681,f1601,f1683,f1685,f1689,f1690,f1697,f1693,f1694,f1698,f1602,f1701,f1706,f1707,f1714,f1710,f1711,f1715,f1603,f1723,f1724,f1731,f1727,f1728,f1732,f2,f1734,f1735,f1736,f1738,f1739,f1740,f1741,f1743,f1744,f1745,f1746,f1747,f1748,f1749,f1750,f1751,f1752,f1753,f1754,f1755,f1756,f1757,f1758,f1759,f1760,f1761,f1762,f1763,f1764,f1765,f1766,f1767,f1768,f1769,f1770,f1771,f1772,f1773,f1774,f1775,f1776,f1777,f1778,f1779,f1780,f1781,f1782,f1783,f1784,f1785,f1786,f1787,f1788,f1789,f24,f1790,f1820,f1792,f1821,f1822,f1796,f1823,f1798,f1799,f1800,f1824,f1803,f1805,f1825,f1814,f1826,f1816,f1817,f1818,f1819,f1832,f1833,f1733,f1837,f1840,f1868,f1843,f1870,f1849,f1872,f1873,f1853,f1861,f1863,f33,f1885,f1886,f1887,f1889,f1890,f1891,f1892,f1894,f1895,f1896,f1897,f1898,f1899,f1900,f1901,f1902,f1903,f1904,f1905,f1906,f1907,f1908,f1909,f1910,f1911,f1912,f1913,f1914,f1915,f1916,f1917,f1918,f1919,f1920,f1921,f1922,f1923,f1924,f1925,f1926,f1927,f1928,f1929,f1930,f1931,f1932,f1933,f1934,f1935,f1936,f1937,f1938,f1939,f1940,f1836,f1942,f1947,f1948,f1949,f1950,f1943,f1955,f1963,f1884,f1972,f1975,f1981,f1985,f1994,f1996,f59,f2020,f2034,f2022,f2023,f2024,f2025,f2026,f2027,f2028,f2029,f2030,f2031,f2032,f2033,f1846,f2036,f2037,f2038,f2040,f2041,f2042,f2043,f2044,f1851,f2049,f2050,f2054,f2055,f2056,f2057,f1978,f2062,f2065,f2066,f2070,f1983,f2075,f2083,f60,f2091,f2092,f2093,f2094,f2095,f2096,f2097,f2098,f2099,f2100,f2101,f2102,f2103,f2107,f2109,f2110,f2111,f2112,f2113,f2114,f2117,f2118,f2120,f2121,f2124,f2125,f2108,f2126,f2128,f2129,f2130,f2131,f2132,f2133,f2134,f2135,f2136,f2137,f2153,f2138,f2141,f2142,f2144,f2154,f2155,f2148,f2149,f2156,f2157,f2127,f2158,f2160,f2161,f2162,f2163,f2164,f2165,f2166,f2167,f2168,f2184,f2169,f2172,f2173,f2175,f2185,f2186,f2179,f2180,f2187,f2188,f2145,f2193,f2194,f2195,f2196,f2197,f2198,f2199,f2226,f2200,f2201,f2202,f2203,f2204,f2207,f2208,f2210,f2227,f2228,f2216,f2217,f2219,f2220,f2229,f2230,f2176,f2235,f2237,f2238,f2239,f2240,f2241,f2242,f2243,f2244,f2245,f2246,f2249,f2250,f2252,f2253,f2268,f2269,f2258,f2259,f2261,f2270,f2271,f2105,f2274,f2275,f2277,f2284,f2285,f2278,f2294,f2296,f2297,f2298,f2300,f2301,f2302,f2304,f2309,f2310,f2312,f2319,f2320,f2290,f2325,f2328,f2330,f2331,f2332,f2334,f2335,f2336,f2338,f2341,f2342,f2345,f2346,f2348,f2349,f2356,f2357,f2291,f2363,f2365,f2370,f2371,f2372,f2373,f2375,f2377,f2381,f2382,f2384,f2385,f2391,f2392,f92,f2404,f2426,f2427,f2428,f2429,f2430,f2431,f22,f2450]) ).

fof(f2472,plain,
    ( spl0_3
    | ~ spl0_5 ),
    inference(avatar_contradiction_clause,[],[f2471]) ).

fof(f2471,plain,
    ( $false
    | spl0_3
    | ~ spl0_5 ),
    inference(global_subsumption,[],[f2411,f68,f47,f93,f46,f94,f79,f45,f8,f9,f76,f77,f55,f56,f96,f14,f15,f16,f74,f86,f85,f84,f43,f70,f81,f82,f83,f69,f42,f72,f17,f18,f80,f13,f73,f71,f6,f63,f64,f65,f91,f10,f11,f12,f49,f52,f1,f25,f39,f41,f36,f7,f34,f37,f48,f103,f66,f102,f3,f4,f19,f20,f21,f40,f51,f88,f89,f90,f95,f114,f118,f5,f124,f126,f138,f141,f147,f161,f162,f163,f151,f155,f159,f160,f127,f23,f171,f176,f75,f182,f135,f164,f186,f190,f168,f193,f197,f26,f199,f206,f208,f211,f204,f216,f218,f210,f201,f203,f229,f226,f230,f27,f244,f249,f253,f239,f257,f261,f242,f246,f205,f286,f241,f291,f243,f298,f28,f310,f316,f308,f321,f322,f325,f313,f328,f329,f333,f245,f335,f340,f281,f341,f347,f288,f350,f354,f294,f356,f361,f309,f364,f367,f319,f371,f375,f29,f387,f412,f398,f420,f30,f187,f452,f453,f454,f455,f462,f461,f466,f467,f194,f470,f478,f471,f473,f480,f460,f484,f490,f486,f493,f31,f32,f152,f565,f568,f53,f578,f579,f580,f581,f577,f587,f591,f593,f165,f595,f596,f597,f598,f599,f600,f601,f594,f605,f166,f607,f609,f611,f167,f614,f615,f616,f617,f618,f619,f178,f622,f623,f629,f626,f633,f213,f638,f639,f641,f642,f643,f221,f646,f647,f649,f650,f255,f653,f656,f659,f54,f664,f666,f668,f669,f667,f675,f679,f681,f263,f683,f686,f271,f697,f280,f78,f712,f713,f714,f715,f706,f716,f711,f728,f739,f730,f610,f740,f742,f743,f744,f746,f747,f749,f750,f751,f753,f754,f755,f756,f760,f764,f765,f766,f767,f768,f769,f776,f777,f778,f779,f780,f782,f783,f784,f785,f787,f788,f789,f792,f793,f794,f795,f797,f798,f799,f800,f801,f802,f803,f804,f805,f806,f807,f808,f809,f810,f811,f812,f813,f815,f816,f817,f818,f819,f786,f822,f823,f826,f827,f825,f833,f834,f837,f58,f843,f845,f847,f849,f850,f842,f855,f856,f858,f857,f861,f862,f864,f870,f846,f872,f873,f874,f875,f876,f877,f878,f880,f883,f884,f886,f888,f848,f895,f896,f899,f900,f904,f879,f907,f908,f909,f910,f911,f912,f913,f915,f918,f919,f923,f921,f931,f932,f935,f936,f940,f61,f943,f944,f945,f946,f947,f948,f950,f951,f952,f949,f956,f957,f958,f959,f960,f964,f965,f967,f969,f961,f971,f972,f973,f974,f975,f977,f979,f980,f982,f984,f759,f986,f987,f988,f989,f990,f991,f992,f993,f995,f996,f997,f1000,f761,f1001,f1003,f1004,f1005,f1006,f1118,f1119,f1012,f1013,f1014,f1015,f1016,f1019,f1020,f1024,f1025,f1026,f1027,f1028,f1029,f1030,f1031,f1032,f1033,f1034,f1035,f1036,f1037,f1038,f1039,f1040,f1041,f1042,f1043,f1044,f1045,f1046,f1047,f1048,f1049,f1050,f1051,f1052,f1053,f1120,f1121,f1122,f1123,f1124,f1125,f1126,f1127,f1128,f1129,f1064,f1065,f1066,f1067,f1068,f1069,f1072,f1076,f1135,f1078,f1136,f1137,f1138,f1145,f1089,f1146,f1091,f1092,f1147,f1148,f1149,f1150,f1151,f1152,f1153,f1154,f1155,f1156,f1103,f1104,f1105,f1106,f1157,f1158,f1159,f1160,f1161,f1162,f1163,f1164,f1115,f1116,f1117,f62,f1167,f1168,f1169,f1171,f1172,f1173,f1174,f1175,f1176,f1177,f1178,f1166,f1183,f1184,f1185,f1186,f1188,f1187,f1191,f1192,f1194,f1195,f1202,f1203,f1170,f1206,f1207,f1208,f1209,f1210,f1211,f1214,f1215,f1217,f1218,f1221,f1222,f1205,f1227,f1228,f1229,f1230,f1231,f1232,f1235,f1236,f1238,f1239,f1242,f1243,f762,f1244,f1245,f1246,f1247,f1248,f1249,f1251,f1253,f1254,f1255,f1256,f1260,f1261,f770,f1264,f1265,f1267,f1268,f1269,f1270,f1272,f1273,f1274,f1275,f1279,f1280,f771,f1282,f1283,f1285,f1286,f1288,f1290,f1291,f1292,f1293,f1297,f1298,f772,f1299,f1302,f1305,f1306,f1308,f1309,f1310,f1311,f1315,f1316,f773,f1317,f1323,f1324,f1326,f1327,f1328,f1329,f1333,f1334,f774,f1339,f1343,f1345,f1346,f1347,f1348,f1352,f1353,f87,f1359,f1360,f1361,f1362,f1373,f1374,f1375,f1376,f1378,f1379,f1381,f1383,f1384,f775,f1394,f1395,f1397,f1398,f1399,f1400,f1404,f1405,f67,f1407,f1408,f1409,f1410,f1411,f1412,f1413,f1420,f1421,f1417,f1422,f1423,f44,f1427,f1428,f1429,f1430,f1431,f1432,f1433,f1434,f1435,f1436,f1437,f1438,f1439,f1440,f1442,f1443,f1458,f1459,f575,f1466,f1467,f1468,f1469,f1470,f1471,f1472,f1473,f1477,f1474,f1478,f1475,f1479,f709,f1480,f1481,f662,f1494,f1506,f1495,f1496,f1497,f1498,f1508,f1499,f1509,f1501,f1502,f1503,f1504,f1505,f708,f1510,f1511,f1464,f1523,f1524,f576,f1530,f1531,f1538,f1539,f665,f1540,f1542,f1543,f1544,f1545,f1548,f1549,f1556,f1558,f1559,f710,f1575,f1576,f1565,f1566,f1414,f1577,f1578,f1579,f1580,f1581,f1582,f1583,f1584,f1585,f1586,f1593,f1595,f1596,f1594,f1604,f1605,f1612,f1608,f1609,f1613,f1597,f1615,f1616,f1617,f1618,f1619,f1620,f1621,f1622,f1629,f1625,f1626,f1630,f1598,f1631,f1633,f1634,f1636,f1637,f1638,f1639,f1646,f1642,f1643,f1647,f1599,f1648,f1649,f1652,f1654,f1655,f1656,f1663,f1659,f1660,f1664,f1600,f1665,f1669,f1670,f1672,f1673,f1680,f1676,f1677,f1681,f1601,f1683,f1685,f1689,f1690,f1697,f1693,f1694,f1698,f1602,f1701,f1706,f1707,f1714,f1710,f1711,f1715,f1603,f1723,f1724,f1731,f1727,f1728,f1732,f2,f1734,f1735,f1736,f1738,f1739,f1740,f1741,f1743,f1744,f1745,f1746,f1747,f1748,f1749,f1750,f1751,f1752,f1753,f1754,f1755,f1756,f1757,f1758,f1759,f1760,f1761,f1762,f1763,f1764,f1765,f1766,f1767,f1768,f1769,f1770,f1771,f1772,f1773,f1774,f1775,f1776,f1777,f1778,f1779,f1780,f1781,f1782,f1783,f1784,f1785,f1786,f1787,f1788,f1789,f24,f1790,f1820,f1792,f1821,f1822,f1796,f1823,f1798,f1799,f1800,f1824,f1803,f1805,f1825,f1814,f1826,f1816,f1817,f1818,f1819,f1832,f1833,f1733,f1837,f1840,f1868,f1843,f1870,f1849,f1872,f1873,f1853,f1861,f1863,f33,f1885,f1886,f1887,f1889,f1890,f1891,f1892,f1894,f1895,f1896,f1897,f1898,f1899,f1900,f1901,f1902,f1903,f1904,f1905,f1906,f1907,f1908,f1909,f1910,f1911,f1912,f1913,f1914,f1915,f1916,f1917,f1918,f1919,f1920,f1921,f1922,f1923,f1924,f1925,f1926,f1927,f1928,f1929,f1930,f1931,f1932,f1933,f1934,f1935,f1936,f1937,f1938,f1939,f1940,f1836,f1942,f1947,f1948,f1949,f1950,f1943,f1955,f1963,f1884,f1972,f1975,f1981,f1985,f1994,f1996,f59,f2020,f2034,f2022,f2023,f2024,f2025,f2026,f2027,f2028,f2029,f2030,f2031,f2032,f2033,f1846,f2036,f2037,f2038,f2040,f2041,f2042,f2043,f2044,f1851,f2049,f2050,f2054,f2055,f2056,f2057,f1978,f2062,f2065,f2066,f2070,f1983,f2075,f2083,f60,f2091,f2092,f2093,f2094,f2095,f2096,f2097,f2098,f2099,f2100,f2101,f2102,f2103,f2107,f2109,f2110,f2111,f2112,f2113,f2114,f2117,f2118,f2120,f2121,f2124,f2125,f2108,f2126,f2128,f2129,f2130,f2131,f2132,f2133,f2134,f2135,f2136,f2137,f2153,f2138,f2141,f2142,f2144,f2154,f2155,f2148,f2149,f2156,f2157,f2127,f2158,f2160,f2161,f2162,f2163,f2164,f2165,f2166,f2167,f2168,f2184,f2169,f2172,f2173,f2175,f2185,f2186,f2179,f2180,f2187,f2188,f2145,f2193,f2194,f2195,f2196,f2197,f2198,f2199,f2226,f2200,f2201,f2202,f2203,f2204,f2207,f2208,f2210,f2227,f2228,f2216,f2217,f2219,f2220,f2229,f2230,f2176,f2235,f2237,f2238,f2239,f2240,f2241,f2242,f2243,f2244,f2245,f2246,f2249,f2250,f2252,f2253,f2268,f2269,f2258,f2259,f2261,f2270,f2271,f2105,f2274,f2275,f2277,f2284,f2285,f2278,f2294,f2296,f2297,f2298,f2300,f2301,f2302,f2304,f2309,f2310,f2312,f2319,f2320,f2290,f2325,f2328,f2330,f2331,f2332,f2334,f2335,f2336,f2338,f2341,f2342,f2345,f2346,f2348,f2349,f2356,f2357,f2291,f2363,f2365,f2370,f2371,f2372,f2373,f2375,f2377,f2381,f2382,f2384,f2385,f2391,f2392,f92,f2404,f2426,f2427,f2428,f2429,f2430,f2431,f22,f2450]) ).

fof(f2470,plain,
    ( spl0_4
    | ~ spl0_5 ),
    inference(avatar_contradiction_clause,[],[f2469]) ).

fof(f2469,plain,
    ( $false
    | spl0_4
    | ~ spl0_5 ),
    inference(global_subsumption,[],[f2411,f68,f47,f93,f46,f94,f79,f45,f8,f9,f76,f77,f55,f56,f96,f14,f15,f16,f74,f86,f85,f84,f43,f70,f81,f82,f83,f69,f42,f72,f17,f18,f80,f13,f73,f71,f6,f63,f64,f65,f91,f10,f11,f12,f49,f52,f1,f25,f39,f41,f36,f7,f34,f37,f48,f103,f66,f102,f3,f4,f19,f20,f21,f40,f51,f88,f89,f90,f95,f114,f118,f5,f124,f126,f138,f141,f147,f161,f162,f163,f151,f155,f159,f160,f127,f23,f171,f176,f75,f182,f135,f164,f186,f190,f168,f193,f197,f26,f199,f206,f208,f211,f204,f216,f218,f210,f201,f203,f229,f226,f230,f27,f244,f249,f253,f239,f257,f261,f242,f246,f205,f286,f241,f291,f243,f298,f28,f310,f316,f308,f321,f322,f325,f313,f328,f329,f333,f245,f335,f340,f281,f341,f347,f288,f350,f354,f294,f356,f361,f309,f364,f367,f319,f371,f375,f29,f387,f412,f398,f420,f30,f187,f452,f453,f454,f455,f462,f461,f466,f467,f194,f470,f478,f471,f473,f480,f460,f484,f490,f486,f493,f31,f32,f152,f565,f568,f53,f578,f579,f580,f581,f577,f587,f591,f593,f165,f595,f596,f597,f598,f599,f600,f601,f594,f605,f166,f607,f609,f611,f167,f614,f615,f616,f617,f618,f619,f178,f622,f623,f629,f626,f633,f213,f638,f639,f641,f642,f643,f221,f646,f647,f649,f650,f255,f653,f656,f659,f54,f664,f666,f668,f669,f667,f675,f679,f681,f263,f683,f686,f271,f697,f280,f78,f712,f713,f714,f715,f706,f716,f711,f728,f739,f730,f610,f740,f742,f743,f744,f746,f747,f749,f750,f751,f753,f754,f755,f756,f760,f764,f765,f766,f767,f768,f769,f776,f777,f778,f779,f780,f782,f783,f784,f785,f787,f788,f789,f792,f793,f794,f795,f797,f798,f799,f800,f801,f802,f803,f804,f805,f806,f807,f808,f809,f810,f811,f812,f813,f815,f816,f817,f818,f819,f786,f822,f823,f826,f827,f825,f833,f834,f837,f58,f843,f845,f847,f849,f850,f842,f855,f856,f858,f857,f861,f862,f864,f870,f846,f872,f873,f874,f875,f876,f877,f878,f880,f883,f884,f886,f888,f848,f895,f896,f899,f900,f904,f879,f907,f908,f909,f910,f911,f912,f913,f915,f918,f919,f923,f921,f931,f932,f935,f936,f940,f61,f943,f944,f945,f946,f947,f948,f950,f951,f952,f949,f956,f957,f958,f959,f960,f964,f965,f967,f969,f961,f971,f972,f973,f974,f975,f977,f979,f980,f982,f984,f759,f986,f987,f988,f989,f990,f991,f992,f993,f995,f996,f997,f1000,f761,f1001,f1003,f1004,f1005,f1006,f1118,f1119,f1012,f1013,f1014,f1015,f1016,f1019,f1020,f1024,f1025,f1026,f1027,f1028,f1029,f1030,f1031,f1032,f1033,f1034,f1035,f1036,f1037,f1038,f1039,f1040,f1041,f1042,f1043,f1044,f1045,f1046,f1047,f1048,f1049,f1050,f1051,f1052,f1053,f1120,f1121,f1122,f1123,f1124,f1125,f1126,f1127,f1128,f1129,f1064,f1065,f1066,f1067,f1068,f1069,f1072,f1076,f1135,f1078,f1136,f1137,f1138,f1145,f1089,f1146,f1091,f1092,f1147,f1148,f1149,f1150,f1151,f1152,f1153,f1154,f1155,f1156,f1103,f1104,f1105,f1106,f1157,f1158,f1159,f1160,f1161,f1162,f1163,f1164,f1115,f1116,f1117,f62,f1167,f1168,f1169,f1171,f1172,f1173,f1174,f1175,f1176,f1177,f1178,f1166,f1183,f1184,f1185,f1186,f1188,f1187,f1191,f1192,f1194,f1195,f1202,f1203,f1170,f1206,f1207,f1208,f1209,f1210,f1211,f1214,f1215,f1217,f1218,f1221,f1222,f1205,f1227,f1228,f1229,f1230,f1231,f1232,f1235,f1236,f1238,f1239,f1242,f1243,f762,f1244,f1245,f1246,f1247,f1248,f1249,f1251,f1253,f1254,f1255,f1256,f1260,f1261,f770,f1264,f1265,f1267,f1268,f1269,f1270,f1272,f1273,f1274,f1275,f1279,f1280,f771,f1282,f1283,f1285,f1286,f1288,f1290,f1291,f1292,f1293,f1297,f1298,f772,f1299,f1302,f1305,f1306,f1308,f1309,f1310,f1311,f1315,f1316,f773,f1317,f1323,f1324,f1326,f1327,f1328,f1329,f1333,f1334,f774,f1339,f1343,f1345,f1346,f1347,f1348,f1352,f1353,f87,f1359,f1360,f1361,f1362,f1373,f1374,f1375,f1376,f1378,f1379,f1381,f1383,f1384,f775,f1394,f1395,f1397,f1398,f1399,f1400,f1404,f1405,f67,f1407,f1408,f1409,f1410,f1411,f1412,f1413,f1420,f1421,f1417,f1422,f1423,f44,f1427,f1428,f1429,f1430,f1431,f1432,f1433,f1434,f1435,f1436,f1437,f1438,f1439,f1440,f1442,f1443,f1458,f1459,f575,f1466,f1467,f1468,f1469,f1470,f1471,f1472,f1473,f1477,f1474,f1478,f1475,f1479,f709,f1480,f1481,f662,f1494,f1506,f1495,f1496,f1497,f1498,f1508,f1499,f1509,f1501,f1502,f1503,f1504,f1505,f708,f1510,f1511,f1464,f1523,f1524,f576,f1530,f1531,f1538,f1539,f665,f1540,f1542,f1543,f1544,f1545,f1548,f1549,f1556,f1558,f1559,f710,f1575,f1576,f1565,f1566,f1414,f1577,f1578,f1579,f1580,f1581,f1582,f1583,f1584,f1585,f1586,f1593,f1595,f1596,f1594,f1604,f1605,f1612,f1608,f1609,f1613,f1597,f1615,f1616,f1617,f1618,f1619,f1620,f1621,f1622,f1629,f1625,f1626,f1630,f1598,f1631,f1633,f1634,f1636,f1637,f1638,f1639,f1646,f1642,f1643,f1647,f1599,f1648,f1649,f1652,f1654,f1655,f1656,f1663,f1659,f1660,f1664,f1600,f1665,f1669,f1670,f1672,f1673,f1680,f1676,f1677,f1681,f1601,f1683,f1685,f1689,f1690,f1697,f1693,f1694,f1698,f1602,f1701,f1706,f1707,f1714,f1710,f1711,f1715,f1603,f1723,f1724,f1731,f1727,f1728,f1732,f2,f1734,f1735,f1736,f1738,f1739,f1740,f1741,f1743,f1744,f1745,f1746,f1747,f1748,f1749,f1750,f1751,f1752,f1753,f1754,f1755,f1756,f1757,f1758,f1759,f1760,f1761,f1762,f1763,f1764,f1765,f1766,f1767,f1768,f1769,f1770,f1771,f1772,f1773,f1774,f1775,f1776,f1777,f1778,f1779,f1780,f1781,f1782,f1783,f1784,f1785,f1786,f1787,f1788,f1789,f24,f1790,f1820,f1792,f1821,f1822,f1796,f1823,f1798,f1799,f1800,f1824,f1803,f1805,f1825,f1814,f1826,f1816,f1817,f1818,f1819,f1832,f1833,f1733,f1837,f1840,f1868,f1843,f1870,f1849,f1872,f1873,f1853,f1861,f1863,f33,f1885,f1886,f1887,f1889,f1890,f1891,f1892,f1894,f1895,f1896,f1897,f1898,f1899,f1900,f1901,f1902,f1903,f1904,f1905,f1906,f1907,f1908,f1909,f1910,f1911,f1912,f1913,f1914,f1915,f1916,f1917,f1918,f1919,f1920,f1921,f1922,f1923,f1924,f1925,f1926,f1927,f1928,f1929,f1930,f1931,f1932,f1933,f1934,f1935,f1936,f1937,f1938,f1939,f1940,f1836,f1942,f1947,f1948,f1949,f1950,f1943,f1955,f1963,f1884,f1972,f1975,f1981,f1985,f1994,f1996,f59,f2020,f2034,f2022,f2023,f2024,f2025,f2026,f2027,f2028,f2029,f2030,f2031,f2032,f2033,f1846,f2036,f2037,f2038,f2040,f2041,f2042,f2043,f2044,f1851,f2049,f2050,f2054,f2055,f2056,f2057,f1978,f2062,f2065,f2066,f2070,f1983,f2075,f2083,f60,f2091,f2092,f2093,f2094,f2095,f2096,f2097,f2098,f2099,f2100,f2101,f2102,f2103,f2107,f2109,f2110,f2111,f2112,f2113,f2114,f2117,f2118,f2120,f2121,f2124,f2125,f2108,f2126,f2128,f2129,f2130,f2131,f2132,f2133,f2134,f2135,f2136,f2137,f2153,f2138,f2141,f2142,f2144,f2154,f2155,f2148,f2149,f2156,f2157,f2127,f2158,f2160,f2161,f2162,f2163,f2164,f2165,f2166,f2167,f2168,f2184,f2169,f2172,f2173,f2175,f2185,f2186,f2179,f2180,f2187,f2188,f2145,f2193,f2194,f2195,f2196,f2197,f2198,f2199,f2226,f2200,f2201,f2202,f2203,f2204,f2207,f2208,f2210,f2227,f2228,f2216,f2217,f2219,f2220,f2229,f2230,f2176,f2235,f2237,f2238,f2239,f2240,f2241,f2242,f2243,f2244,f2245,f2246,f2249,f2250,f2252,f2253,f2268,f2269,f2258,f2259,f2261,f2270,f2271,f2105,f2274,f2275,f2277,f2284,f2285,f2278,f2294,f2296,f2297,f2298,f2300,f2301,f2302,f2304,f2309,f2310,f2312,f2319,f2320,f2290,f2325,f2328,f2330,f2331,f2332,f2334,f2335,f2336,f2338,f2341,f2342,f2345,f2346,f2348,f2349,f2356,f2357,f2291,f2363,f2365,f2370,f2371,f2372,f2373,f2375,f2377,f2381,f2382,f2384,f2385,f2391,f2392,f92,f2408,f2432,f2433,f2434,f2435,f2436,f2437,f22,f2450]) ).

fof(f2437,plain,
    ( ~ between(c,a,b)
    | spl0_4 ),
    inference(resolution,[],[f2408,f19]) ).

fof(f2436,plain,
    ( ~ between(a,b,c)
    | spl0_4 ),
    inference(resolution,[],[f2408,f20]) ).

fof(f2435,plain,
    ( ~ between(b,c,a)
    | spl0_4 ),
    inference(resolution,[],[f2408,f21]) ).

fof(f2434,plain,
    ( ~ between(b,a,c)
    | spl0_4 ),
    inference(resolution,[],[f2408,f88]) ).

fof(f2433,plain,
    ( ~ between(c,b,a)
    | spl0_4 ),
    inference(resolution,[],[f2408,f89]) ).

fof(f2432,plain,
    ( ~ between(a,c,b)
    | spl0_4 ),
    inference(resolution,[],[f2408,f90]) ).

fof(f2408,plain,
    ( ~ colinear(c,a,b)
    | spl0_4 ),
    inference(avatar_component_clause,[],[f2406]) ).

fof(f2468,plain,
    spl0_4,
    inference(avatar_contradiction_clause,[],[f2467]) ).

fof(f2467,plain,
    ( $false
    | spl0_4 ),
    inference(global_subsumption,[],[f68,f47,f93,f46,f94,f79,f45,f8,f9,f76,f77,f55,f56,f96,f14,f15,f16,f74,f86,f85,f84,f43,f70,f81,f82,f83,f69,f42,f72,f17,f18,f80,f13,f73,f71,f6,f63,f64,f65,f91,f10,f11,f12,f49,f52,f1,f25,f39,f41,f36,f7,f34,f37,f48,f103,f66,f102,f3,f4,f19,f20,f21,f40,f51,f88,f89,f90,f95,f114,f118,f5,f124,f126,f138,f141,f147,f161,f162,f163,f151,f155,f159,f160,f127,f23,f171,f176,f75,f182,f135,f164,f186,f190,f168,f193,f197,f26,f199,f206,f208,f211,f204,f216,f218,f210,f201,f203,f229,f226,f230,f27,f244,f249,f253,f239,f257,f261,f242,f246,f205,f286,f241,f291,f243,f298,f28,f310,f316,f308,f321,f322,f325,f313,f328,f329,f333,f245,f335,f340,f281,f341,f347,f288,f350,f354,f294,f356,f361,f309,f364,f367,f319,f371,f375,f29,f387,f412,f398,f420,f30,f187,f452,f453,f454,f455,f462,f461,f466,f467,f194,f470,f478,f471,f473,f480,f460,f484,f490,f486,f493,f31,f32,f152,f565,f568,f53,f578,f579,f580,f581,f577,f587,f591,f593,f165,f595,f596,f597,f598,f599,f600,f601,f594,f605,f166,f607,f609,f611,f167,f614,f615,f616,f617,f618,f619,f178,f622,f623,f629,f626,f633,f213,f638,f639,f641,f642,f643,f221,f646,f647,f649,f650,f255,f653,f656,f659,f54,f664,f666,f668,f669,f667,f675,f679,f681,f263,f683,f686,f271,f697,f280,f78,f712,f713,f714,f715,f706,f716,f711,f728,f739,f730,f610,f740,f742,f743,f744,f746,f747,f749,f750,f751,f753,f754,f755,f756,f760,f764,f765,f766,f767,f768,f769,f776,f777,f778,f779,f780,f782,f783,f784,f785,f787,f788,f789,f792,f793,f794,f795,f797,f798,f799,f800,f801,f802,f803,f804,f805,f806,f807,f808,f809,f810,f811,f812,f813,f815,f816,f817,f818,f819,f786,f822,f823,f826,f827,f825,f833,f834,f837,f58,f843,f845,f847,f849,f850,f842,f855,f856,f858,f857,f861,f862,f864,f870,f846,f872,f873,f874,f875,f876,f877,f878,f880,f883,f884,f886,f888,f848,f895,f896,f899,f900,f904,f879,f907,f908,f909,f910,f911,f912,f913,f915,f918,f919,f923,f921,f931,f932,f935,f936,f940,f61,f943,f944,f945,f946,f947,f948,f950,f951,f952,f949,f956,f957,f958,f959,f960,f964,f965,f967,f969,f961,f971,f972,f973,f974,f975,f977,f979,f980,f982,f984,f759,f986,f987,f988,f989,f990,f991,f992,f993,f995,f996,f997,f1000,f761,f1001,f1003,f1004,f1005,f1006,f1118,f1119,f1012,f1013,f1014,f1015,f1016,f1019,f1020,f1024,f1025,f1026,f1027,f1028,f1029,f1030,f1031,f1032,f1033,f1034,f1035,f1036,f1037,f1038,f1039,f1040,f1041,f1042,f1043,f1044,f1045,f1046,f1047,f1048,f1049,f1050,f1051,f1052,f1053,f1120,f1121,f1122,f1123,f1124,f1125,f1126,f1127,f1128,f1129,f1064,f1065,f1066,f1067,f1068,f1069,f1072,f1076,f1135,f1078,f1136,f1137,f1138,f1145,f1089,f1146,f1091,f1092,f1147,f1148,f1149,f1150,f1151,f1152,f1153,f1154,f1155,f1156,f1103,f1104,f1105,f1106,f1157,f1158,f1159,f1160,f1161,f1162,f1163,f1164,f1115,f1116,f1117,f62,f1167,f1168,f1169,f1171,f1172,f1173,f1174,f1175,f1176,f1177,f1178,f1166,f1183,f1184,f1185,f1186,f1188,f1187,f1191,f1192,f1194,f1195,f1202,f1203,f1170,f1206,f1207,f1208,f1209,f1210,f1211,f1214,f1215,f1217,f1218,f1221,f1222,f1205,f1227,f1228,f1229,f1230,f1231,f1232,f1235,f1236,f1238,f1239,f1242,f1243,f762,f1244,f1245,f1246,f1247,f1248,f1249,f1251,f1253,f1254,f1255,f1256,f1260,f1261,f770,f1264,f1265,f1267,f1268,f1269,f1270,f1272,f1273,f1274,f1275,f1279,f1280,f771,f1282,f1283,f1285,f1286,f1288,f1290,f1291,f1292,f1293,f1297,f1298,f772,f1299,f1302,f1305,f1306,f1308,f1309,f1310,f1311,f1315,f1316,f773,f1317,f1323,f1324,f1326,f1327,f1328,f1329,f1333,f1334,f774,f1339,f1343,f1345,f1346,f1347,f1348,f1352,f1353,f87,f1359,f1360,f1361,f1362,f1373,f1374,f1375,f1376,f1378,f1379,f1381,f1383,f1384,f775,f1394,f1395,f1397,f1398,f1399,f1400,f1404,f1405,f67,f1407,f1408,f1409,f1410,f1411,f1412,f1413,f1420,f1421,f1417,f1422,f1423,f44,f1427,f1428,f1429,f1430,f1431,f1432,f1433,f1434,f1435,f1436,f1437,f1438,f1439,f1440,f1442,f1443,f1458,f1459,f575,f1466,f1467,f1468,f1469,f1470,f1471,f1472,f1473,f1477,f1474,f1478,f1475,f1479,f709,f1480,f1481,f662,f1494,f1506,f1495,f1496,f1497,f1498,f1508,f1499,f1509,f1501,f1502,f1503,f1504,f1505,f708,f1510,f1511,f1464,f1523,f1524,f576,f1530,f1531,f1538,f1539,f665,f1540,f1542,f1543,f1544,f1545,f1548,f1549,f1556,f1558,f1559,f710,f1575,f1576,f1565,f1566,f1414,f1577,f1578,f1579,f1580,f1581,f1582,f1583,f1584,f1585,f1586,f1593,f1595,f1596,f1594,f1604,f1605,f1612,f1608,f1609,f1613,f1597,f1615,f1616,f1617,f1618,f1619,f1620,f1621,f1622,f1629,f1625,f1626,f1630,f1598,f1631,f1633,f1634,f1636,f1637,f1638,f1639,f1646,f1642,f1643,f1647,f1599,f1648,f1649,f1652,f1654,f1655,f1656,f1663,f1659,f1660,f1664,f1600,f1665,f1669,f1670,f1672,f1673,f1680,f1676,f1677,f1681,f1601,f1683,f1685,f1689,f1690,f1697,f1693,f1694,f1698,f1602,f1701,f1706,f1707,f1714,f1710,f1711,f1715,f1603,f1723,f1724,f1731,f1727,f1728,f1732,f2,f1734,f1735,f1736,f1738,f1739,f1740,f1741,f1743,f1744,f1745,f1746,f1747,f1748,f1749,f1750,f1751,f1752,f1753,f1754,f1755,f1756,f1757,f1758,f1759,f1760,f1761,f1762,f1763,f1764,f1765,f1766,f1767,f1768,f1769,f1770,f1771,f1772,f1773,f1774,f1775,f1776,f1777,f1778,f1779,f1780,f1781,f1782,f1783,f1784,f1785,f1786,f1787,f1788,f1789,f24,f1790,f1820,f1792,f1821,f1822,f1796,f1823,f1798,f1799,f1800,f1824,f1803,f1805,f1825,f1814,f1826,f1816,f1817,f1818,f1819,f1832,f1833,f1733,f1837,f1840,f1868,f1843,f1870,f1849,f1872,f1873,f1853,f1861,f1863,f33,f1885,f1886,f1887,f1889,f1890,f1891,f1892,f1894,f1895,f1896,f1897,f1898,f1899,f1900,f1901,f1902,f1903,f1904,f1905,f1906,f1907,f1908,f1909,f1910,f1911,f1912,f1913,f1914,f1915,f1916,f1917,f1918,f1919,f1920,f1921,f1922,f1923,f1924,f1925,f1926,f1927,f1928,f1929,f1930,f1931,f1932,f1933,f1934,f1935,f1936,f1937,f1938,f1939,f1940,f1836,f1942,f1947,f1948,f1949,f1950,f1943,f1955,f1963,f1884,f1972,f1975,f1981,f1985,f1994,f1996,f59,f2020,f2034,f2022,f2023,f2024,f2025,f2026,f2027,f2028,f2029,f2030,f2031,f2032,f2033,f1846,f2036,f2037,f2038,f2040,f2041,f2042,f2043,f2044,f1851,f2049,f2050,f2054,f2055,f2056,f2057,f1978,f2062,f2065,f2066,f2070,f1983,f2075,f2083,f60,f2091,f2092,f2093,f2094,f2095,f2096,f2097,f2098,f2099,f2100,f2101,f2102,f2103,f2107,f2109,f2110,f2111,f2112,f2113,f2114,f2117,f2118,f2120,f2121,f2124,f2125,f2108,f2126,f2128,f2129,f2130,f2131,f2132,f2133,f2134,f2135,f2136,f2137,f2153,f2138,f2141,f2142,f2144,f2154,f2155,f2148,f2149,f2156,f2157,f2127,f2158,f2160,f2161,f2162,f2163,f2164,f2165,f2166,f2167,f2168,f2184,f2169,f2172,f2173,f2175,f2185,f2186,f2179,f2180,f2187,f2188,f2145,f2193,f2194,f2195,f2196,f2197,f2198,f2199,f2226,f2200,f2201,f2202,f2203,f2204,f2207,f2208,f2210,f2227,f2228,f2216,f2217,f2219,f2220,f2229,f2230,f2176,f2235,f2237,f2238,f2239,f2240,f2241,f2242,f2243,f2244,f2245,f2246,f2249,f2250,f2252,f2253,f2268,f2269,f2258,f2259,f2261,f2270,f2271,f2105,f2274,f2275,f2277,f2284,f2285,f2278,f2294,f2296,f2297,f2298,f2300,f2301,f2302,f2304,f2309,f2310,f2312,f2319,f2320,f2290,f2325,f2328,f2330,f2331,f2332,f2334,f2335,f2336,f2338,f2341,f2342,f2345,f2346,f2348,f2349,f2356,f2357,f2291,f2363,f2365,f2370,f2371,f2372,f2373,f2375,f2377,f2381,f2382,f2384,f2385,f2391,f2392,f92,f2408,f2432,f2433,f2434,f2435,f2436,f2437,f22,f2450]) ).

fof(f2466,plain,
    ( ~ spl0_1
    | spl0_4 ),
    inference(avatar_contradiction_clause,[],[f2465]) ).

fof(f2465,plain,
    ( $false
    | ~ spl0_1
    | spl0_4 ),
    inference(global_subsumption,[],[f2395,f68,f47,f93,f46,f94,f79,f45,f8,f9,f76,f77,f55,f56,f96,f14,f15,f16,f74,f86,f85,f84,f43,f70,f81,f82,f83,f69,f42,f72,f17,f18,f80,f13,f73,f71,f6,f63,f64,f65,f91,f10,f11,f12,f49,f52,f1,f25,f39,f41,f36,f7,f34,f37,f48,f103,f66,f102,f3,f4,f19,f20,f21,f40,f51,f88,f89,f90,f95,f114,f118,f5,f124,f126,f138,f141,f147,f161,f162,f163,f151,f155,f159,f160,f127,f23,f171,f176,f75,f182,f135,f164,f186,f190,f168,f193,f197,f26,f199,f206,f208,f211,f204,f216,f218,f210,f201,f203,f229,f226,f230,f27,f244,f249,f253,f239,f257,f261,f242,f246,f205,f286,f241,f291,f243,f298,f28,f310,f316,f308,f321,f322,f325,f313,f328,f329,f333,f245,f335,f340,f281,f341,f347,f288,f350,f354,f294,f356,f361,f309,f364,f367,f319,f371,f375,f29,f387,f412,f398,f420,f30,f187,f452,f453,f454,f455,f462,f461,f466,f467,f194,f470,f478,f471,f473,f480,f460,f484,f490,f486,f493,f31,f32,f152,f565,f568,f53,f578,f579,f580,f581,f577,f587,f591,f593,f165,f595,f596,f597,f598,f599,f600,f601,f594,f605,f166,f607,f609,f611,f167,f614,f615,f616,f617,f618,f619,f178,f622,f623,f629,f626,f633,f213,f638,f639,f641,f642,f643,f221,f646,f647,f649,f650,f255,f653,f656,f659,f54,f664,f666,f668,f669,f667,f675,f679,f681,f263,f683,f686,f271,f697,f280,f78,f712,f713,f714,f715,f706,f716,f711,f728,f739,f730,f610,f740,f742,f743,f744,f746,f747,f749,f750,f751,f753,f754,f755,f756,f760,f764,f765,f766,f767,f768,f769,f776,f777,f778,f779,f780,f782,f783,f784,f785,f787,f788,f789,f792,f793,f794,f795,f797,f798,f799,f800,f801,f802,f803,f804,f805,f806,f807,f808,f809,f810,f811,f812,f813,f815,f816,f817,f818,f819,f786,f822,f823,f826,f827,f825,f833,f834,f837,f58,f843,f845,f847,f849,f850,f842,f855,f856,f858,f857,f861,f862,f864,f870,f846,f872,f873,f874,f875,f876,f877,f878,f880,f883,f884,f886,f888,f848,f895,f896,f899,f900,f904,f879,f907,f908,f909,f910,f911,f912,f913,f915,f918,f919,f923,f921,f931,f932,f935,f936,f940,f61,f943,f944,f945,f946,f947,f948,f950,f951,f952,f949,f956,f957,f958,f959,f960,f964,f965,f967,f969,f961,f971,f972,f973,f974,f975,f977,f979,f980,f982,f984,f759,f986,f987,f988,f989,f990,f991,f992,f993,f995,f996,f997,f1000,f761,f1001,f1003,f1004,f1005,f1006,f1118,f1119,f1012,f1013,f1014,f1015,f1016,f1019,f1020,f1024,f1025,f1026,f1027,f1028,f1029,f1030,f1031,f1032,f1033,f1034,f1035,f1036,f1037,f1038,f1039,f1040,f1041,f1042,f1043,f1044,f1045,f1046,f1047,f1048,f1049,f1050,f1051,f1052,f1053,f1120,f1121,f1122,f1123,f1124,f1125,f1126,f1127,f1128,f1129,f1064,f1065,f1066,f1067,f1068,f1069,f1072,f1076,f1135,f1078,f1136,f1137,f1138,f1145,f1089,f1146,f1091,f1092,f1147,f1148,f1149,f1150,f1151,f1152,f1153,f1154,f1155,f1156,f1103,f1104,f1105,f1106,f1157,f1158,f1159,f1160,f1161,f1162,f1163,f1164,f1115,f1116,f1117,f62,f1167,f1168,f1169,f1171,f1172,f1173,f1174,f1175,f1176,f1177,f1178,f1166,f1183,f1184,f1185,f1186,f1188,f1187,f1191,f1192,f1194,f1195,f1202,f1203,f1170,f1206,f1207,f1208,f1209,f1210,f1211,f1214,f1215,f1217,f1218,f1221,f1222,f1205,f1227,f1228,f1229,f1230,f1231,f1232,f1235,f1236,f1238,f1239,f1242,f1243,f762,f1244,f1245,f1246,f1247,f1248,f1249,f1251,f1253,f1254,f1255,f1256,f1260,f1261,f770,f1264,f1265,f1267,f1268,f1269,f1270,f1272,f1273,f1274,f1275,f1279,f1280,f771,f1282,f1283,f1285,f1286,f1288,f1290,f1291,f1292,f1293,f1297,f1298,f772,f1299,f1302,f1305,f1306,f1308,f1309,f1310,f1311,f1315,f1316,f773,f1317,f1323,f1324,f1326,f1327,f1328,f1329,f1333,f1334,f774,f1339,f1343,f1345,f1346,f1347,f1348,f1352,f1353,f87,f1359,f1360,f1361,f1362,f1373,f1374,f1375,f1376,f1378,f1379,f1381,f1383,f1384,f775,f1394,f1395,f1397,f1398,f1399,f1400,f1404,f1405,f67,f1407,f1408,f1409,f1410,f1411,f1412,f1413,f1420,f1421,f1417,f1422,f1423,f44,f1427,f1428,f1429,f1430,f1431,f1432,f1433,f1434,f1435,f1436,f1437,f1438,f1439,f1440,f1442,f1443,f1458,f1459,f575,f1466,f1467,f1468,f1469,f1470,f1471,f1472,f1473,f1477,f1474,f1478,f1475,f1479,f709,f1480,f1481,f662,f1494,f1506,f1495,f1496,f1497,f1498,f1508,f1499,f1509,f1501,f1502,f1503,f1504,f1505,f708,f1510,f1511,f1464,f1523,f1524,f576,f1530,f1531,f1538,f1539,f665,f1540,f1542,f1543,f1544,f1545,f1548,f1549,f1556,f1558,f1559,f710,f1575,f1576,f1565,f1566,f1414,f1577,f1578,f1579,f1580,f1581,f1582,f1583,f1584,f1585,f1586,f1593,f1595,f1596,f1594,f1604,f1605,f1612,f1608,f1609,f1613,f1597,f1615,f1616,f1617,f1618,f1619,f1620,f1621,f1622,f1629,f1625,f1626,f1630,f1598,f1631,f1633,f1634,f1636,f1637,f1638,f1639,f1646,f1642,f1643,f1647,f1599,f1648,f1649,f1652,f1654,f1655,f1656,f1663,f1659,f1660,f1664,f1600,f1665,f1669,f1670,f1672,f1673,f1680,f1676,f1677,f1681,f1601,f1683,f1685,f1689,f1690,f1697,f1693,f1694,f1698,f1602,f1701,f1706,f1707,f1714,f1710,f1711,f1715,f1603,f1723,f1724,f1731,f1727,f1728,f1732,f2,f1734,f1735,f1736,f1738,f1739,f1740,f1741,f1743,f1744,f1745,f1746,f1747,f1748,f1749,f1750,f1751,f1752,f1753,f1754,f1755,f1756,f1757,f1758,f1759,f1760,f1761,f1762,f1763,f1764,f1765,f1766,f1767,f1768,f1769,f1770,f1771,f1772,f1773,f1774,f1775,f1776,f1777,f1778,f1779,f1780,f1781,f1782,f1783,f1784,f1785,f1786,f1787,f1788,f1789,f24,f1790,f1820,f1792,f1821,f1822,f1796,f1823,f1798,f1799,f1800,f1824,f1803,f1805,f1825,f1814,f1826,f1816,f1817,f1818,f1819,f1832,f1833,f1733,f1837,f1840,f1868,f1843,f1870,f1849,f1872,f1873,f1853,f1861,f1863,f33,f1885,f1886,f1887,f1889,f1890,f1891,f1892,f1894,f1895,f1896,f1897,f1898,f1899,f1900,f1901,f1902,f1903,f1904,f1905,f1906,f1907,f1908,f1909,f1910,f1911,f1912,f1913,f1914,f1915,f1916,f1917,f1918,f1919,f1920,f1921,f1922,f1923,f1924,f1925,f1926,f1927,f1928,f1929,f1930,f1931,f1932,f1933,f1934,f1935,f1936,f1937,f1938,f1939,f1940,f1836,f1942,f1947,f1948,f1949,f1950,f1943,f1955,f1963,f1884,f1972,f1975,f1981,f1985,f1994,f1996,f59,f2020,f2034,f2022,f2023,f2024,f2025,f2026,f2027,f2028,f2029,f2030,f2031,f2032,f2033,f1846,f2036,f2037,f2038,f2040,f2041,f2042,f2043,f2044,f1851,f2049,f2050,f2054,f2055,f2056,f2057,f1978,f2062,f2065,f2066,f2070,f1983,f2075,f2083,f60,f2091,f2092,f2093,f2094,f2095,f2096,f2097,f2098,f2099,f2100,f2101,f2102,f2103,f2107,f2109,f2110,f2111,f2112,f2113,f2114,f2117,f2118,f2120,f2121,f2124,f2125,f2108,f2126,f2128,f2129,f2130,f2131,f2132,f2133,f2134,f2135,f2136,f2137,f2153,f2138,f2141,f2142,f2144,f2154,f2155,f2148,f2149,f2156,f2157,f2127,f2158,f2160,f2161,f2162,f2163,f2164,f2165,f2166,f2167,f2168,f2184,f2169,f2172,f2173,f2175,f2185,f2186,f2179,f2180,f2187,f2188,f2145,f2193,f2194,f2195,f2196,f2197,f2198,f2199,f2226,f2200,f2201,f2202,f2203,f2204,f2207,f2208,f2210,f2227,f2228,f2216,f2217,f2219,f2220,f2229,f2230,f2176,f2235,f2237,f2238,f2239,f2240,f2241,f2242,f2243,f2244,f2245,f2246,f2249,f2250,f2252,f2253,f2268,f2269,f2258,f2259,f2261,f2270,f2271,f2105,f2274,f2275,f2277,f2284,f2285,f2278,f2294,f2296,f2297,f2298,f2300,f2301,f2302,f2304,f2309,f2310,f2312,f2319,f2320,f2290,f2325,f2328,f2330,f2331,f2332,f2334,f2335,f2336,f2338,f2341,f2342,f2345,f2346,f2348,f2349,f2356,f2357,f2291,f2363,f2365,f2370,f2371,f2372,f2373,f2375,f2377,f2381,f2382,f2384,f2385,f2391,f2392,f92,f2408,f2432,f2433,f2434,f2435,f2436,f2437,f22,f2450]) ).

fof(f2464,plain,
    ( ~ spl0_1
    | spl0_5 ),
    inference(avatar_contradiction_clause,[],[f2463]) ).

fof(f2463,plain,
    ( $false
    | ~ spl0_1
    | spl0_5 ),
    inference(global_subsumption,[],[f2395,f68,f47,f93,f46,f94,f79,f45,f8,f9,f76,f77,f55,f56,f96,f14,f15,f16,f74,f86,f85,f84,f43,f70,f81,f82,f83,f69,f42,f72,f17,f18,f80,f13,f73,f71,f6,f63,f64,f65,f91,f10,f11,f12,f49,f52,f1,f25,f39,f41,f36,f7,f34,f37,f48,f103,f66,f102,f3,f4,f19,f20,f21,f40,f51,f88,f89,f90,f95,f114,f118,f5,f124,f126,f138,f141,f147,f161,f162,f163,f151,f155,f159,f160,f127,f23,f171,f176,f75,f182,f135,f164,f186,f190,f168,f193,f197,f26,f199,f206,f208,f211,f204,f216,f218,f210,f201,f203,f229,f226,f230,f27,f244,f249,f253,f239,f257,f261,f242,f246,f205,f286,f241,f291,f243,f298,f28,f310,f316,f308,f321,f322,f325,f313,f328,f329,f333,f245,f335,f340,f281,f341,f347,f288,f350,f354,f294,f356,f361,f309,f364,f367,f319,f371,f375,f29,f387,f412,f398,f420,f30,f187,f452,f453,f454,f455,f462,f461,f466,f467,f194,f470,f478,f471,f473,f480,f460,f484,f490,f486,f493,f31,f32,f152,f565,f568,f53,f578,f579,f580,f581,f577,f587,f591,f593,f165,f595,f596,f597,f598,f599,f600,f601,f594,f605,f166,f607,f609,f611,f167,f614,f615,f616,f617,f618,f619,f178,f622,f623,f629,f626,f633,f213,f638,f639,f641,f642,f643,f221,f646,f647,f649,f650,f255,f653,f656,f659,f54,f664,f666,f668,f669,f667,f675,f679,f681,f263,f683,f686,f271,f697,f280,f78,f712,f713,f714,f715,f706,f716,f711,f728,f739,f730,f610,f740,f742,f743,f744,f746,f747,f749,f750,f751,f753,f754,f755,f756,f760,f764,f765,f766,f767,f768,f769,f776,f777,f778,f779,f780,f782,f783,f784,f785,f787,f788,f789,f792,f793,f794,f795,f797,f798,f799,f800,f801,f802,f803,f804,f805,f806,f807,f808,f809,f810,f811,f812,f813,f815,f816,f817,f818,f819,f786,f822,f823,f826,f827,f825,f833,f834,f837,f58,f843,f845,f847,f849,f850,f842,f855,f856,f858,f857,f861,f862,f864,f870,f846,f872,f873,f874,f875,f876,f877,f878,f880,f883,f884,f886,f888,f848,f895,f896,f899,f900,f904,f879,f907,f908,f909,f910,f911,f912,f913,f915,f918,f919,f923,f921,f931,f932,f935,f936,f940,f61,f943,f944,f945,f946,f947,f948,f950,f951,f952,f949,f956,f957,f958,f959,f960,f964,f965,f967,f969,f961,f971,f972,f973,f974,f975,f977,f979,f980,f982,f984,f759,f986,f987,f988,f989,f990,f991,f992,f993,f995,f996,f997,f1000,f761,f1001,f1003,f1004,f1005,f1006,f1118,f1119,f1012,f1013,f1014,f1015,f1016,f1019,f1020,f1024,f1025,f1026,f1027,f1028,f1029,f1030,f1031,f1032,f1033,f1034,f1035,f1036,f1037,f1038,f1039,f1040,f1041,f1042,f1043,f1044,f1045,f1046,f1047,f1048,f1049,f1050,f1051,f1052,f1053,f1120,f1121,f1122,f1123,f1124,f1125,f1126,f1127,f1128,f1129,f1064,f1065,f1066,f1067,f1068,f1069,f1072,f1076,f1135,f1078,f1136,f1137,f1138,f1145,f1089,f1146,f1091,f1092,f1147,f1148,f1149,f1150,f1151,f1152,f1153,f1154,f1155,f1156,f1103,f1104,f1105,f1106,f1157,f1158,f1159,f1160,f1161,f1162,f1163,f1164,f1115,f1116,f1117,f62,f1167,f1168,f1169,f1171,f1172,f1173,f1174,f1175,f1176,f1177,f1178,f1166,f1183,f1184,f1185,f1186,f1188,f1187,f1191,f1192,f1194,f1195,f1202,f1203,f1170,f1206,f1207,f1208,f1209,f1210,f1211,f1214,f1215,f1217,f1218,f1221,f1222,f1205,f1227,f1228,f1229,f1230,f1231,f1232,f1235,f1236,f1238,f1239,f1242,f1243,f762,f1244,f1245,f1246,f1247,f1248,f1249,f1251,f1253,f1254,f1255,f1256,f1260,f1261,f770,f1264,f1265,f1267,f1268,f1269,f1270,f1272,f1273,f1274,f1275,f1279,f1280,f771,f1282,f1283,f1285,f1286,f1288,f1290,f1291,f1292,f1293,f1297,f1298,f772,f1299,f1302,f1305,f1306,f1308,f1309,f1310,f1311,f1315,f1316,f773,f1317,f1323,f1324,f1326,f1327,f1328,f1329,f1333,f1334,f774,f1339,f1343,f1345,f1346,f1347,f1348,f1352,f1353,f87,f1359,f1360,f1361,f1362,f1373,f1374,f1375,f1376,f1378,f1379,f1381,f1383,f1384,f775,f1394,f1395,f1397,f1398,f1399,f1400,f1404,f1405,f67,f1407,f1408,f1409,f1410,f1411,f1412,f1413,f1420,f1421,f1417,f1422,f1423,f44,f1427,f1428,f1429,f1430,f1431,f1432,f1433,f1434,f1435,f1436,f1437,f1438,f1439,f1440,f1442,f1443,f1458,f1459,f575,f1466,f1467,f1468,f1469,f1470,f1471,f1472,f1473,f1477,f1474,f1478,f1475,f1479,f709,f1480,f1481,f662,f1494,f1506,f1495,f1496,f1497,f1498,f1508,f1499,f1509,f1501,f1502,f1503,f1504,f1505,f708,f1510,f1511,f1464,f1523,f1524,f576,f1530,f1531,f1538,f1539,f665,f1540,f1542,f1543,f1544,f1545,f1548,f1549,f1556,f1558,f1559,f710,f1575,f1576,f1565,f1566,f1414,f1577,f1578,f1579,f1580,f1581,f1582,f1583,f1584,f1585,f1586,f1593,f1595,f1596,f1594,f1604,f1605,f1612,f1608,f1609,f1613,f1597,f1615,f1616,f1617,f1618,f1619,f1620,f1621,f1622,f1629,f1625,f1626,f1630,f1598,f1631,f1633,f1634,f1636,f1637,f1638,f1639,f1646,f1642,f1643,f1647,f1599,f1648,f1649,f1652,f1654,f1655,f1656,f1663,f1659,f1660,f1664,f1600,f1665,f1669,f1670,f1672,f1673,f1680,f1676,f1677,f1681,f1601,f1683,f1685,f1689,f1690,f1697,f1693,f1694,f1698,f1602,f1701,f1706,f1707,f1714,f1710,f1711,f1715,f1603,f1723,f1724,f1731,f1727,f1728,f1732,f2,f1734,f1735,f1736,f1738,f1739,f1740,f1741,f1743,f1744,f1745,f1746,f1747,f1748,f1749,f1750,f1751,f1752,f1753,f1754,f1755,f1756,f1757,f1758,f1759,f1760,f1761,f1762,f1763,f1764,f1765,f1766,f1767,f1768,f1769,f1770,f1771,f1772,f1773,f1774,f1775,f1776,f1777,f1778,f1779,f1780,f1781,f1782,f1783,f1784,f1785,f1786,f1787,f1788,f1789,f24,f1790,f1820,f1792,f1821,f1822,f1796,f1823,f1798,f1799,f1800,f1824,f1803,f1805,f1825,f1814,f1826,f1816,f1817,f1818,f1819,f1832,f1833,f1733,f1837,f1840,f1868,f1843,f1870,f1849,f1872,f1873,f1853,f1861,f1863,f33,f1885,f1886,f1887,f1889,f1890,f1891,f1892,f1894,f1895,f1896,f1897,f1898,f1899,f1900,f1901,f1902,f1903,f1904,f1905,f1906,f1907,f1908,f1909,f1910,f1911,f1912,f1913,f1914,f1915,f1916,f1917,f1918,f1919,f1920,f1921,f1922,f1923,f1924,f1925,f1926,f1927,f1928,f1929,f1930,f1931,f1932,f1933,f1934,f1935,f1936,f1937,f1938,f1939,f1940,f1836,f1942,f1947,f1948,f1949,f1950,f1943,f1955,f1963,f1884,f1972,f1975,f1981,f1985,f1994,f1996,f59,f2020,f2034,f2022,f2023,f2024,f2025,f2026,f2027,f2028,f2029,f2030,f2031,f2032,f2033,f1846,f2036,f2037,f2038,f2040,f2041,f2042,f2043,f2044,f1851,f2049,f2050,f2054,f2055,f2056,f2057,f1978,f2062,f2065,f2066,f2070,f1983,f2075,f2083,f60,f2091,f2092,f2093,f2094,f2095,f2096,f2097,f2098,f2099,f2100,f2101,f2102,f2103,f2107,f2109,f2110,f2111,f2112,f2113,f2114,f2117,f2118,f2120,f2121,f2124,f2125,f2108,f2126,f2128,f2129,f2130,f2131,f2132,f2133,f2134,f2135,f2136,f2137,f2153,f2138,f2141,f2142,f2144,f2154,f2155,f2148,f2149,f2156,f2157,f2127,f2158,f2160,f2161,f2162,f2163,f2164,f2165,f2166,f2167,f2168,f2184,f2169,f2172,f2173,f2175,f2185,f2186,f2179,f2180,f2187,f2188,f2145,f2193,f2194,f2195,f2196,f2197,f2198,f2199,f2226,f2200,f2201,f2202,f2203,f2204,f2207,f2208,f2210,f2227,f2228,f2216,f2217,f2219,f2220,f2229,f2230,f2176,f2235,f2237,f2238,f2239,f2240,f2241,f2242,f2243,f2244,f2245,f2246,f2249,f2250,f2252,f2253,f2268,f2269,f2258,f2259,f2261,f2270,f2271,f2105,f2274,f2275,f2277,f2284,f2285,f2278,f2294,f2296,f2297,f2298,f2300,f2301,f2302,f2304,f2309,f2310,f2312,f2319,f2320,f2290,f2325,f2328,f2330,f2331,f2332,f2334,f2335,f2336,f2338,f2341,f2342,f2345,f2346,f2348,f2349,f2356,f2357,f2291,f2363,f2365,f2370,f2371,f2372,f2373,f2375,f2377,f2381,f2382,f2384,f2385,f2391,f2392,f92,f2412,f2438,f2439,f2440,f2441,f2442,f2443,f22,f2450]) ).

fof(f2443,plain,
    ( ~ between(c,b,a)
    | spl0_5 ),
    inference(resolution,[],[f2412,f19]) ).

fof(f2442,plain,
    ( ~ between(b,a,c)
    | spl0_5 ),
    inference(resolution,[],[f2412,f20]) ).

fof(f2441,plain,
    ( ~ between(a,c,b)
    | spl0_5 ),
    inference(resolution,[],[f2412,f21]) ).

fof(f2440,plain,
    ( ~ between(a,b,c)
    | spl0_5 ),
    inference(resolution,[],[f2412,f88]) ).

fof(f2439,plain,
    ( ~ between(c,a,b)
    | spl0_5 ),
    inference(resolution,[],[f2412,f89]) ).

fof(f2438,plain,
    ( ~ between(b,c,a)
    | spl0_5 ),
    inference(resolution,[],[f2412,f90]) ).

fof(f2412,plain,
    ( ~ colinear(c,b,a)
    | spl0_5 ),
    inference(avatar_component_clause,[],[f2410]) ).

fof(f2462,plain,
    spl0_5,
    inference(avatar_contradiction_clause,[],[f2461]) ).

fof(f2461,plain,
    ( $false
    | spl0_5 ),
    inference(global_subsumption,[],[f68,f47,f93,f46,f94,f79,f45,f8,f9,f76,f77,f55,f56,f96,f14,f15,f16,f74,f86,f85,f84,f43,f70,f81,f82,f83,f69,f42,f72,f17,f18,f80,f13,f73,f71,f6,f63,f64,f65,f91,f10,f11,f12,f49,f52,f1,f25,f39,f41,f36,f7,f34,f37,f48,f103,f66,f102,f3,f4,f19,f20,f21,f40,f51,f88,f89,f90,f95,f114,f118,f5,f124,f126,f138,f141,f147,f161,f162,f163,f151,f155,f159,f160,f127,f23,f171,f176,f75,f182,f135,f164,f186,f190,f168,f193,f197,f26,f199,f206,f208,f211,f204,f216,f218,f210,f201,f203,f229,f226,f230,f27,f244,f249,f253,f239,f257,f261,f242,f246,f205,f286,f241,f291,f243,f298,f28,f310,f316,f308,f321,f322,f325,f313,f328,f329,f333,f245,f335,f340,f281,f341,f347,f288,f350,f354,f294,f356,f361,f309,f364,f367,f319,f371,f375,f29,f387,f412,f398,f420,f30,f187,f452,f453,f454,f455,f462,f461,f466,f467,f194,f470,f478,f471,f473,f480,f460,f484,f490,f486,f493,f31,f32,f152,f565,f568,f53,f578,f579,f580,f581,f577,f587,f591,f593,f165,f595,f596,f597,f598,f599,f600,f601,f594,f605,f166,f607,f609,f611,f167,f614,f615,f616,f617,f618,f619,f178,f622,f623,f629,f626,f633,f213,f638,f639,f641,f642,f643,f221,f646,f647,f649,f650,f255,f653,f656,f659,f54,f664,f666,f668,f669,f667,f675,f679,f681,f263,f683,f686,f271,f697,f280,f78,f712,f713,f714,f715,f706,f716,f711,f728,f739,f730,f610,f740,f742,f743,f744,f746,f747,f749,f750,f751,f753,f754,f755,f756,f760,f764,f765,f766,f767,f768,f769,f776,f777,f778,f779,f780,f782,f783,f784,f785,f787,f788,f789,f792,f793,f794,f795,f797,f798,f799,f800,f801,f802,f803,f804,f805,f806,f807,f808,f809,f810,f811,f812,f813,f815,f816,f817,f818,f819,f786,f822,f823,f826,f827,f825,f833,f834,f837,f58,f843,f845,f847,f849,f850,f842,f855,f856,f858,f857,f861,f862,f864,f870,f846,f872,f873,f874,f875,f876,f877,f878,f880,f883,f884,f886,f888,f848,f895,f896,f899,f900,f904,f879,f907,f908,f909,f910,f911,f912,f913,f915,f918,f919,f923,f921,f931,f932,f935,f936,f940,f61,f943,f944,f945,f946,f947,f948,f950,f951,f952,f949,f956,f957,f958,f959,f960,f964,f965,f967,f969,f961,f971,f972,f973,f974,f975,f977,f979,f980,f982,f984,f759,f986,f987,f988,f989,f990,f991,f992,f993,f995,f996,f997,f1000,f761,f1001,f1003,f1004,f1005,f1006,f1118,f1119,f1012,f1013,f1014,f1015,f1016,f1019,f1020,f1024,f1025,f1026,f1027,f1028,f1029,f1030,f1031,f1032,f1033,f1034,f1035,f1036,f1037,f1038,f1039,f1040,f1041,f1042,f1043,f1044,f1045,f1046,f1047,f1048,f1049,f1050,f1051,f1052,f1053,f1120,f1121,f1122,f1123,f1124,f1125,f1126,f1127,f1128,f1129,f1064,f1065,f1066,f1067,f1068,f1069,f1072,f1076,f1135,f1078,f1136,f1137,f1138,f1145,f1089,f1146,f1091,f1092,f1147,f1148,f1149,f1150,f1151,f1152,f1153,f1154,f1155,f1156,f1103,f1104,f1105,f1106,f1157,f1158,f1159,f1160,f1161,f1162,f1163,f1164,f1115,f1116,f1117,f62,f1167,f1168,f1169,f1171,f1172,f1173,f1174,f1175,f1176,f1177,f1178,f1166,f1183,f1184,f1185,f1186,f1188,f1187,f1191,f1192,f1194,f1195,f1202,f1203,f1170,f1206,f1207,f1208,f1209,f1210,f1211,f1214,f1215,f1217,f1218,f1221,f1222,f1205,f1227,f1228,f1229,f1230,f1231,f1232,f1235,f1236,f1238,f1239,f1242,f1243,f762,f1244,f1245,f1246,f1247,f1248,f1249,f1251,f1253,f1254,f1255,f1256,f1260,f1261,f770,f1264,f1265,f1267,f1268,f1269,f1270,f1272,f1273,f1274,f1275,f1279,f1280,f771,f1282,f1283,f1285,f1286,f1288,f1290,f1291,f1292,f1293,f1297,f1298,f772,f1299,f1302,f1305,f1306,f1308,f1309,f1310,f1311,f1315,f1316,f773,f1317,f1323,f1324,f1326,f1327,f1328,f1329,f1333,f1334,f774,f1339,f1343,f1345,f1346,f1347,f1348,f1352,f1353,f87,f1359,f1360,f1361,f1362,f1373,f1374,f1375,f1376,f1378,f1379,f1381,f1383,f1384,f775,f1394,f1395,f1397,f1398,f1399,f1400,f1404,f1405,f67,f1407,f1408,f1409,f1410,f1411,f1412,f1413,f1420,f1421,f1417,f1422,f1423,f44,f1427,f1428,f1429,f1430,f1431,f1432,f1433,f1434,f1435,f1436,f1437,f1438,f1439,f1440,f1442,f1443,f1458,f1459,f575,f1466,f1467,f1468,f1469,f1470,f1471,f1472,f1473,f1477,f1474,f1478,f1475,f1479,f709,f1480,f1481,f662,f1494,f1506,f1495,f1496,f1497,f1498,f1508,f1499,f1509,f1501,f1502,f1503,f1504,f1505,f708,f1510,f1511,f1464,f1523,f1524,f576,f1530,f1531,f1538,f1539,f665,f1540,f1542,f1543,f1544,f1545,f1548,f1549,f1556,f1558,f1559,f710,f1575,f1576,f1565,f1566,f1414,f1577,f1578,f1579,f1580,f1581,f1582,f1583,f1584,f1585,f1586,f1593,f1595,f1596,f1594,f1604,f1605,f1612,f1608,f1609,f1613,f1597,f1615,f1616,f1617,f1618,f1619,f1620,f1621,f1622,f1629,f1625,f1626,f1630,f1598,f1631,f1633,f1634,f1636,f1637,f1638,f1639,f1646,f1642,f1643,f1647,f1599,f1648,f1649,f1652,f1654,f1655,f1656,f1663,f1659,f1660,f1664,f1600,f1665,f1669,f1670,f1672,f1673,f1680,f1676,f1677,f1681,f1601,f1683,f1685,f1689,f1690,f1697,f1693,f1694,f1698,f1602,f1701,f1706,f1707,f1714,f1710,f1711,f1715,f1603,f1723,f1724,f1731,f1727,f1728,f1732,f2,f1734,f1735,f1736,f1738,f1739,f1740,f1741,f1743,f1744,f1745,f1746,f1747,f1748,f1749,f1750,f1751,f1752,f1753,f1754,f1755,f1756,f1757,f1758,f1759,f1760,f1761,f1762,f1763,f1764,f1765,f1766,f1767,f1768,f1769,f1770,f1771,f1772,f1773,f1774,f1775,f1776,f1777,f1778,f1779,f1780,f1781,f1782,f1783,f1784,f1785,f1786,f1787,f1788,f1789,f24,f1790,f1820,f1792,f1821,f1822,f1796,f1823,f1798,f1799,f1800,f1824,f1803,f1805,f1825,f1814,f1826,f1816,f1817,f1818,f1819,f1832,f1833,f1733,f1837,f1840,f1868,f1843,f1870,f1849,f1872,f1873,f1853,f1861,f1863,f33,f1885,f1886,f1887,f1889,f1890,f1891,f1892,f1894,f1895,f1896,f1897,f1898,f1899,f1900,f1901,f1902,f1903,f1904,f1905,f1906,f1907,f1908,f1909,f1910,f1911,f1912,f1913,f1914,f1915,f1916,f1917,f1918,f1919,f1920,f1921,f1922,f1923,f1924,f1925,f1926,f1927,f1928,f1929,f1930,f1931,f1932,f1933,f1934,f1935,f1936,f1937,f1938,f1939,f1940,f1836,f1942,f1947,f1948,f1949,f1950,f1943,f1955,f1963,f1884,f1972,f1975,f1981,f1985,f1994,f1996,f59,f2020,f2034,f2022,f2023,f2024,f2025,f2026,f2027,f2028,f2029,f2030,f2031,f2032,f2033,f1846,f2036,f2037,f2038,f2040,f2041,f2042,f2043,f2044,f1851,f2049,f2050,f2054,f2055,f2056,f2057,f1978,f2062,f2065,f2066,f2070,f1983,f2075,f2083,f60,f2091,f2092,f2093,f2094,f2095,f2096,f2097,f2098,f2099,f2100,f2101,f2102,f2103,f2107,f2109,f2110,f2111,f2112,f2113,f2114,f2117,f2118,f2120,f2121,f2124,f2125,f2108,f2126,f2128,f2129,f2130,f2131,f2132,f2133,f2134,f2135,f2136,f2137,f2153,f2138,f2141,f2142,f2144,f2154,f2155,f2148,f2149,f2156,f2157,f2127,f2158,f2160,f2161,f2162,f2163,f2164,f2165,f2166,f2167,f2168,f2184,f2169,f2172,f2173,f2175,f2185,f2186,f2179,f2180,f2187,f2188,f2145,f2193,f2194,f2195,f2196,f2197,f2198,f2199,f2226,f2200,f2201,f2202,f2203,f2204,f2207,f2208,f2210,f2227,f2228,f2216,f2217,f2219,f2220,f2229,f2230,f2176,f2235,f2237,f2238,f2239,f2240,f2241,f2242,f2243,f2244,f2245,f2246,f2249,f2250,f2252,f2253,f2268,f2269,f2258,f2259,f2261,f2270,f2271,f2105,f2274,f2275,f2277,f2284,f2285,f2278,f2294,f2296,f2297,f2298,f2300,f2301,f2302,f2304,f2309,f2310,f2312,f2319,f2320,f2290,f2325,f2328,f2330,f2331,f2332,f2334,f2335,f2336,f2338,f2341,f2342,f2345,f2346,f2348,f2349,f2356,f2357,f2291,f2363,f2365,f2370,f2371,f2372,f2373,f2375,f2377,f2381,f2382,f2384,f2385,f2391,f2392,f92,f2412,f2438,f2439,f2440,f2441,f2442,f2443,f22,f2450]) ).

fof(f2460,plain,
    spl0_1,
    inference(avatar_contradiction_clause,[],[f2459]) ).

fof(f2459,plain,
    ( $false
    | spl0_1 ),
    inference(subsumption_resolution,[],[f2458,f2415]) ).

fof(f2415,plain,
    ( ~ between(a,b,c)
    | spl0_1 ),
    inference(resolution,[],[f2396,f89]) ).

fof(f2396,plain,
    ( ~ colinear(a,c,b)
    | spl0_1 ),
    inference(avatar_component_clause,[],[f2394]) ).

fof(f2458,plain,
    ( between(a,b,c)
    | spl0_1 ),
    inference(subsumption_resolution,[],[f2457,f2416]) ).

fof(f2416,plain,
    ( ~ between(b,c,a)
    | spl0_1 ),
    inference(resolution,[],[f2396,f88]) ).

fof(f2457,plain,
    ( between(b,c,a)
    | between(a,b,c)
    | spl0_1 ),
    inference(subsumption_resolution,[],[f2450,f2414]) ).

fof(f2414,plain,
    ( ~ between(c,a,b)
    | spl0_1 ),
    inference(resolution,[],[f2396,f90]) ).

fof(f2413,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_5 ),
    inference(avatar_split_clause,[],[f92,f2410,f2406,f2402,f2398,f2394]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem    : GEO010-3 : TPTP v8.1.2. Bugfixed v1.2.1.
% 0.11/0.14  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.35  % Computer : n018.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit   : 300
% 0.14/0.35  % WCLimit    : 300
% 0.14/0.35  % DateTime   : Fri May  3 21:59:08 EDT 2024
% 0.14/0.35  % CPUTime    : 
% 0.14/0.35  % (20172)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.37  % (20177)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)
% 0.14/0.37  % (20180)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)
% 0.14/0.37  % (20175)WARNING: value z3 for option sas not known
% 0.14/0.37  % (20178)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)
% 0.14/0.37  % (20174)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.14/0.37  % (20176)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.14/0.37  % (20175)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)
% 0.14/0.37  % (20173)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.14/0.38  Detected minimum model sizes of [3]
% 0.14/0.38  Detected maximum model sizes of [max]
% 0.14/0.38  TRYING [3]
% 0.21/0.43  Detected minimum model sizes of [3]
% 0.21/0.43  Detected maximum model sizes of [max]
% 0.21/0.45  % (20175)First to succeed.
% 0.21/0.47  % (20175)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-20172"
% 0.21/0.47  % (20175)Refutation found. Thanks to Tanya!
% 0.21/0.47  % SZS status Unsatisfiable for theBenchmark
% 0.21/0.47  % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.48  % (20175)------------------------------
% 0.21/0.48  % (20175)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.21/0.48  % (20175)Termination reason: Refutation
% 0.21/0.48  
% 0.21/0.48  % (20175)Memory used [KB]: 1970
% 0.21/0.48  % (20175)Time elapsed: 0.096 s
% 0.21/0.48  % (20175)Instructions burned: 276 (million)
% 0.21/0.48  % (20172)Success in time 0.126 s
%------------------------------------------------------------------------------