TSTP Solution File: SWV417+1 by Vampire-SAT---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SWV417+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : 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 10:51:44 EDT 2024
% Result : Theorem 0.19s 0.55s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 23
% Number of leaves : 72
% Syntax : Number of formulae : 1696 ( 568 unt; 0 def)
% Number of atoms : 4594 (1161 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 4077 (1179 ~;2755 |; 79 &)
% ( 22 <=>; 42 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 8 avg)
% Maximal term depth : 12 ( 2 avg)
% Number of predicates : 25 ( 23 usr; 9 prp; 0-3 aty)
% Number of functors : 32 ( 32 usr; 7 con; 0-3 aty)
% Number of variables : 7770 (7748 !; 22 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2698,plain,
$false,
inference(avatar_sat_refutation,[],[f754,f1526,f2485,f2490,f2532,f2544,f2547,f2558,f2564,f2697]) ).
fof(f2697,plain,
( spl6_7
| ~ spl6_8 ),
inference(avatar_contradiction_clause,[],[f2696]) ).
fof(f2696,plain,
( $false
| spl6_7
| ~ spl6_8 ),
inference(subsumption_resolution,[],[f2695,f2526]) ).
fof(f2526,plain,
( create_slb != sK1
| spl6_7 ),
inference(avatar_component_clause,[],[f2525]) ).
fof(f2525,plain,
( spl6_7
<=> create_slb = sK1 ),
introduced(avatar_definition,[new_symbols(naming,[spl6_7])]) ).
fof(f2695,plain,
( create_slb = sK1
| ~ spl6_8 ),
inference(trivial_inequality_removal,[],[f2694]) ).
fof(f2694,plain,
( findmin_pqp_res(sK0) != findmin_pqp_res(sK0)
| create_slb = sK1
| ~ spl6_8 ),
inference(superposition,[],[f2693,f196]) ).
fof(f196,plain,
! [X2,X0,X1] :
( findmin_pqp_res(X0) = findmin_cpq_res(triple(X0,X1,X2))
| create_slb = X1 ),
inference(cnf_transformation,[],[f100]) ).
fof(f100,plain,
! [X0,X1,X2] :
( findmin_pqp_res(X0) = findmin_cpq_res(triple(X0,X1,X2))
| create_slb = X1 ),
inference(ennf_transformation,[],[f68]) ).
fof(f68,plain,
! [X0,X1,X2] :
( create_slb != X1
=> findmin_pqp_res(X0) = findmin_cpq_res(triple(X0,X1,X2)) ),
inference(rectify,[],[f51]) ).
fof(f51,axiom,
! [X0,X1,X2,X3] :
( create_slb != X1
=> findmin_pqp_res(X0) = findmin_cpq_res(triple(X0,X1,X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax51) ).
fof(f2693,plain,
( findmin_cpq_res(triple(sK0,sK1,sK2)) != findmin_pqp_res(sK0)
| ~ spl6_8 ),
inference(subsumption_resolution,[],[f2692,f2531]) ).
fof(f2531,plain,
( pi_sharp_find_min(i(triple(sK0,sK1,sK2)),findmin_pqp_res(sK0))
| ~ spl6_8 ),
inference(avatar_component_clause,[],[f2529]) ).
fof(f2529,plain,
( spl6_8
<=> pi_sharp_find_min(i(triple(sK0,sK1,sK2)),findmin_pqp_res(sK0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_8])]) ).
fof(f2692,plain,
( findmin_cpq_res(triple(sK0,sK1,sK2)) != findmin_pqp_res(sK0)
| ~ pi_sharp_find_min(i(triple(sK0,sK1,sK2)),findmin_pqp_res(sK0))
| ~ spl6_8 ),
inference(superposition,[],[f144,f2573]) ).
fof(f2573,plain,
( findmin_pqp_res(sK0) = findmin_pq_res(i(triple(sK0,sK1,sK2)),findmin_pqp_res(sK0))
| ~ spl6_8 ),
inference(global_subsumption,[],[f175,f203,f146,f147,f148,f149,f150,f151,f152,f142,f161,f162,f143,f153,f154,f158,f159,f163,f182,f220,f157,f168,f179,f180,f183,f156,f164,f165,f227,f166,f169,f170,f221,f225,f228,f226,f230,f155,f231,f177,f232,f178,f235,f187,f233,f188,f189,f193,f223,f234,f236,f160,f238,f245,f176,f181,f184,f185,f191,f254,f252,f207,f208,f253,f265,f264,f267,f271,f272,f273,f275,f276,f277,f167,f210,f246,f171,f294,f296,f295,f172,f301,f303,f302,f173,f308,f310,f309,f304,f313,f311,f315,f186,f318,f319,f320,f327,f328,f331,f334,f335,f336,f338,f339,f342,f325,f343,f344,f349,f348,f356,f358,f192,f367,f369,f196,f241,f243,f324,f375,f255,f381,f382,f383,f384,f266,f386,f388,f213,f354,f391,f392,f355,f397,f398,f357,f406,f407,f408,f410,f218,f286,f417,f287,f421,f423,f420,f433,f440,f435,f437,f441,f439,f323,f447,f449,f242,f454,f453,f455,f174,f458,f463,f464,f465,f466,f468,f469,f467,f471,f268,f474,f475,f479,f480,f481,f482,f484,f485,f486,f487,f489,f490,f491,f492,f269,f506,f507,f508,f509,f510,f511,f512,f513,f514,f209,f297,f517,f519,f520,f521,f522,f314,f525,f526,f527,f528,f316,f531,f532,f533,f534,f239,f240,f537,f424,f539,f442,f549,f550,f551,f459,f552,f289,f555,f559,f197,f568,f567,f570,f569,f347,f584,f585,f352,f590,f591,f216,f353,f600,f601,f409,f610,f611,f612,f613,f614,f615,f616,f617,f618,f619,f620,f217,f565,f632,f298,f305,f312,f380,f636,f637,f638,f639,f640,f642,f643,f644,f645,f646,f648,f649,f650,f651,f652,f389,f662,f663,f664,f665,f666,f667,f668,f669,f670,f671,f672,f673,f144,f675,f674,f683,f684,f685,f690,f691,f692,f693,f445,f702,f703,f705,f706,f446,f711,f712,f714,f715,f461,f717,f718,f719,f720,f721,f722,f524,f726,f727,f728,f729,f730,f530,f733,f734,f735,f736,f737,f145,f746,f744,f317,f757,f758,f759,f760,f762,f763,f764,f767,f768,f769,f770,f771,f774,f775,f777,f778,f799,f800,f808,f809,f810,f811,f812,f814,f815,f819,f820,f821,f822,f823,f828,f829,f830,f831,f832,f833,f834,f849,f850,f851,f855,f856,f862,f865,f866,f867,f870,f871,f875,f876,f877,f878,f884,f885,f886,f890,f368,f898,f899,f900,f901,f902,f905,f906,f374,f907,f908,f909,f910,f913,f914,f916,f917,f918,f190,f922,f932,f925,f926,f927,f928,f929,f761,f933,f934,f935,f936,f937,f938,f941,f942,f943,f944,f945,f949,f950,f951,f952,f953,f954,f957,f958,f959,f960,f961,f966,f969,f987,f990,f991,f992,f993,f997,f998,f1001,f1002,f1003,f1004,f1005,f1007,f1008,f1009,f1010,f1013,f1014,f1015,f1016,f1017,f1018,f1019,f1020,f1025,f1026,f1027,f1028,f1029,f1030,f1031,f1033,f1036,f1054,f1057,f1058,f1059,f1060,f1064,f1065,f1068,f1069,f1070,f1071,f1072,f1074,f1075,f1076,f1077,f1080,f1081,f1082,f1083,f1084,f1085,f1086,f1087,f1092,f1093,f1094,f1095,f1096,f1097,f1098,f766,f1099,f1100,f1101,f1102,f1103,f1104,f1105,f1106,f1107,f1108,f1109,f1110,f1111,f1112,f1119,f1120,f1121,f1122,f1123,f1124,f1125,f1126,f1127,f1128,f1129,f1130,f1131,f1132,f1158,f1159,f1160,f1163,f1166,f1167,f1168,f1173,f1174,f1175,f1176,f1177,f1179,f1180,f1181,f1182,f1183,f1185,f1186,f1187,f1188,f1192,f1193,f1195,f1196,f1197,f1198,f1199,f1210,f1211,f1231,f1232,f1233,f1236,f1239,f1240,f1241,f1246,f1247,f1248,f1249,f1250,f1252,f1253,f1254,f1255,f1256,f1258,f1259,f1260,f1261,f1265,f1266,f1268,f1269,f1270,f1271,f1272,f1283,f1284,f802,f1285,f1286,f1287,f1288,f1289,f1290,f1291,f1292,f1295,f1296,f1297,f1298,f1299,f1300,f1306,f1307,f1308,f195,f1320,f1316,f1314,f1321,f1313,f1319,f1325,f1322,f1323,f1326,f1330,f1327,f1328,f1333,f1331,f1335,f1317,f1337,f200,f1339,f1340,f1318,f1343,f858,f1344,f1345,f1346,f1347,f1348,f1349,f1350,f1351,f1352,f1353,f1354,f1355,f1356,f1357,f1358,f1359,f1360,f1361,f864,f1374,f1375,f1376,f1377,f1378,f1379,f1380,f1381,f1384,f1385,f1386,f1387,f1388,f1389,f385,f1404,f1405,f1406,f1407,f1408,f548,f1415,f1416,f1417,f1418,f1419,f1420,f1421,f1422,f1423,f1424,f1425,f1411,f1427,f1432,f1433,f1438,f1439,f1440,f1441,f1442,f1443,f1444,f1445,f1446,f1447,f1448,f1449,f1450,f1451,f1452,f1455,f1456,f1457,f1458,f1459,f1460,f212,f1461,f1462,f1463,f1464,f1465,f1466,f1471,f1468,f1469,f1470,f214,f1473,f1474,f404,f1475,f1476,f1479,f1480,f1481,f1482,f1485,f1486,f1489,f215,f1516,f1519,f1530,f1529,f1531,f405,f1535,f1536,f1539,f1540,f1541,f1542,f1545,f1546,f1549,f470,f1575,f1576,f1577,f1578,f1579,f1580,f1581,f1582,f1585,f1586,f1587,f1588,f1589,f1590,f1593,f1594,f1596,f1597,f1598,f476,f1601,f1602,f1603,f1604,f1605,f1606,f1608,f1609,f1610,f1611,f1612,f1613,f1615,f1616,f1617,f1618,f1619,f1620,f1622,f1623,f1624,f1625,f1626,f1627,f1629,f1630,f1631,f1632,f1633,f1634,f477,f1650,f1651,f1652,f1653,f1654,f1655,f1656,f1657,f1658,f1659,f1660,f1661,f1662,f1663,f1664,f1665,f1666,f1667,f1668,f1669,f1670,f198,f1671,f798,f1672,f1673,f1674,f1675,f1676,f1677,f1678,f1679,f1682,f1683,f1684,f1685,f1686,f1687,f1693,f1694,f1695,f199,f1702,f1703,f1704,f1705,f1706,f1707,f1708,f1709,f1710,f1711,f1712,f1713,f1714,f1715,f1716,f1717,f1718,f1719,f1720,f1721,f1722,f1723,f1724,f1700,f1701,f818,f1726,f1729,f1730,f1731,f1732,f1733,f1734,f1735,f1736,f1737,f1738,f1739,f1740,f1741,f1742,f1743,f1744,f1745,f1748,f1749,f1750,f1751,f1754,f1755,f1758,f854,f1792,f1793,f1794,f1795,f1796,f1797,f1798,f1799,f1800,f1801,f1802,f1803,f1804,f1805,f1806,f1807,f1808,f1809,f889,f1822,f1823,f1824,f1825,f1826,f1827,f1828,f1829,f1832,f1833,f1834,f1835,f1836,f1837,f202,f1853,f1854,f201,f1859,f1856,f1857,f1858,f689,f1860,f1861,f1862,f1863,f1864,f1866,f205,f1867,f1870,f1332,f1871,f206,f1872,f1873,f1874,f1875,f1876,f1877,f1878,f1879,f1880,f1881,f1882,f1883,f1884,f1885,f1886,f1887,f1888,f1891,f1341,f1895,f1896,f448,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,f1926,f1927,f1928,f1929,f1930,f1931,f1934,f1935,f1937,f1938,f1939,f801,f1940,f1941,f1943,f1944,f1945,f1946,f1947,f1948,f1949,f1950,f1951,f1952,f1953,f1954,f1955,f1956,f1957,f1958,f1959,f1960,f1961,f1962,f1963,f1964,f1965,f1966,f1969,f1970,f1971,f1972,f1973,f1974,f1980,f1981,f1982,f857,f1983,f1984,f1985,f1986,f1987,f1988,f1989,f1990,f1991,f1992,f1993,f1994,f1995,f1996,f1997,f1998,f1999,f2000,f2001,f2002,f2003,f2004,f2005,f2006,f2007,f2008,f2009,f2010,f2011,f2012,f2013,f2014,f2015,f2016,f2017,f2018,f2019,f868,f2026,f2027,f2028,f2029,f2030,f2031,f2032,f2033,f2034,f2035,f2036,f2037,f2038,f2039,f2040,f2041,f2042,f2043,f2044,f2045,f2046,f2047,f2048,f2049,f2050,f2051,f2052,f2055,f2056,f2057,f2058,f2059,f2060,f387,f2069,f2070,f2071,f2072,f2073,f2074,f2075,f2076,f2078,f2079,f2080,f2081,f2082,f2083,f2084,f2085,f1892,f2089,f2090,f2091,f204,f2092,f2093,f2094,f2095,f2096,f2097,f2098,f2099,f2100,f2101,f2102,f2103,f2104,f2105,f2106,f2107,f2108,f2111,f2110,f443,f2116,f2117,f2118,f2119,f2120,f2121,f2122,f2123,f2124,f2125,f2126,f2127,f2128,f2129,f2130,f2131,f2132,f444,f2137,f2138,f2139,f2140,f2141,f2142,f2143,f2144,f2145,f2146,f2147,f2148,f2149,f2150,f2151,f2152,f2153,f518,f2154,f2155,f2156,f2157,f2158,f2159,f2160,f2161,f2162,f2163,f2164,f2165,f2166,f738,f2167,f2168,f2169,f2170,f2171,f2173,f2177,f2176,f556,f2190,f2181,f2182,f2183,f2184,f2185,f2186,f2192,f557,f2205,f2196,f2197,f2198,f2199,f2200,f2201,f2207,f2206,f2208,f2211,f2214,f2204,f2219,f2220,f2221,f2222,f2223,f2224,f2225,f2226,f2227,f2228,f2229,f2230,f2231,f2232,f2233,f2234,f2235,f2236,f2237,f2238,f2239,f2240,f2212,f2244,f704,f2250,f2251,f2252,f2253,f2254,f2255,f2256,f2257,f2258,f2259,f2260,f2261,f2262,f2263,f2264,f2265,f2266,f713,f2271,f2272,f2273,f2274,f2275,f2276,f2277,f2278,f2279,f2280,f2281,f2282,f2283,f2284,f2285,f2286,f2287,f1336,f2289,f2290,f681,f2292,f2294,f739,f2296,f2297,f2298,f2299,f2300,f2302,f2308,f2305,f682,f2312,f2313,f2314,f2315,f2316,f2318,f2319,f2320,f2321,f686,f2326,f2327,f2328,f2329,f2330,f2331,f2333,f2334,f2335,f2336,f2337,f2338,f2339,f2340,f2341,f2343,f2344,f2345,f2346,f2347,f2348,f2349,f2350,f2351,f2352,f2353,f2355,f2356,f2357,f2358,f2359,f2360,f2365,f687,f2370,f2371,f2372,f2373,f2374,f2375,f2376,f2377,f2378,f2379,f2380,f2381,f2382,f2383,f2384,f2385,f2386,f2387,f2388,f2389,f2390,f2391,f2392,f2393,f2394,f2395,f694,f2400,f2401,f2402,f2403,f2404,f2405,f2406,f2407,f2408,f2409,f2410,f2411,f2412,f2413,f2414,f2415,f2416,f2417,f2418,f2419,f2420,f2421,f2422,f2423,f2424,f2425,f2426,f2427,f2428,f725,f2430,f2431,f2432,f2433,f2434,f2435,f2436,f2437,f2438,f2439,f2440,f2441,f732,f2443,f2444,f2445,f2446,f2447,f2448,f2449,f2450,f2451,f2452,f2453,f2454,f2209,f2456,f2461,f2457,f2462,f742,f2463,f2464,f2468,f2467,f2210,f2470,f2475,f2471,f2476,f676,f372,f2520,f2522,f2531,f2566,f2565,f2567,f2572,f2568]) ).
fof(f2568,plain,
( findmin_pqp_res(sK0) = findmin_pq_res(i(triple(sK0,sK1,sK2)),findmin_pqp_res(sK0))
| ~ contains_pq(i(triple(sK0,sK1,sK2)),findmin_pqp_res(sK0))
| ~ spl6_8 ),
inference(resolution,[],[f2565,f173]) ).
fof(f2572,plain,
( removemin_pq_eff(i(triple(sK0,sK1,sK2)),findmin_pqp_res(sK0)) = remove_pq(i(triple(sK0,sK1,sK2)),findmin_pqp_res(sK0))
| ~ spl6_8 ),
inference(global_subsumption,[],[f175,f203,f146,f147,f148,f149,f150,f151,f152,f142,f161,f162,f143,f153,f154,f158,f159,f163,f182,f220,f157,f168,f179,f180,f183,f156,f164,f165,f227,f166,f169,f170,f221,f225,f228,f226,f230,f155,f231,f177,f232,f178,f235,f187,f233,f188,f189,f193,f223,f234,f236,f160,f238,f245,f176,f181,f184,f185,f191,f254,f252,f207,f208,f253,f265,f264,f267,f271,f272,f273,f275,f276,f277,f167,f210,f246,f171,f294,f296,f295,f172,f301,f303,f302,f173,f308,f310,f309,f304,f313,f311,f315,f186,f318,f319,f320,f327,f328,f331,f334,f335,f336,f338,f339,f342,f325,f343,f344,f349,f348,f356,f358,f192,f367,f369,f196,f241,f243,f324,f375,f255,f381,f382,f383,f384,f266,f386,f388,f213,f354,f391,f392,f355,f397,f398,f357,f406,f407,f408,f410,f218,f286,f417,f287,f421,f423,f420,f433,f440,f435,f437,f441,f439,f323,f447,f449,f242,f454,f453,f455,f174,f458,f463,f464,f465,f466,f468,f469,f467,f471,f268,f474,f475,f479,f480,f481,f482,f484,f485,f486,f487,f489,f490,f491,f492,f269,f506,f507,f508,f509,f510,f511,f512,f513,f514,f209,f297,f517,f519,f520,f521,f522,f314,f525,f526,f527,f528,f316,f531,f532,f533,f534,f239,f240,f537,f424,f539,f442,f549,f550,f551,f459,f552,f289,f555,f559,f197,f568,f567,f570,f569,f347,f584,f585,f352,f590,f591,f216,f353,f600,f601,f409,f610,f611,f612,f613,f614,f615,f616,f617,f618,f619,f620,f217,f565,f632,f298,f305,f312,f380,f636,f637,f638,f639,f640,f642,f643,f644,f645,f646,f648,f649,f650,f651,f652,f389,f662,f663,f664,f665,f666,f667,f668,f669,f670,f671,f672,f673,f144,f675,f674,f683,f684,f685,f690,f691,f692,f693,f445,f702,f703,f705,f706,f446,f711,f712,f714,f715,f461,f717,f718,f719,f720,f721,f722,f524,f726,f727,f728,f729,f730,f530,f733,f734,f735,f736,f737,f145,f746,f744,f317,f757,f758,f759,f760,f762,f763,f764,f767,f768,f769,f770,f771,f774,f775,f777,f778,f799,f800,f808,f809,f810,f811,f812,f814,f815,f819,f820,f821,f822,f823,f828,f829,f830,f831,f832,f833,f834,f849,f850,f851,f855,f856,f862,f865,f866,f867,f870,f871,f875,f876,f877,f878,f884,f885,f886,f890,f368,f898,f899,f900,f901,f902,f905,f906,f374,f907,f908,f909,f910,f913,f914,f916,f917,f918,f190,f922,f932,f925,f926,f927,f928,f929,f761,f933,f934,f935,f936,f937,f938,f941,f942,f943,f944,f945,f949,f950,f951,f952,f953,f954,f957,f958,f959,f960,f961,f966,f969,f987,f990,f991,f992,f993,f997,f998,f1001,f1002,f1003,f1004,f1005,f1007,f1008,f1009,f1010,f1013,f1014,f1015,f1016,f1017,f1018,f1019,f1020,f1025,f1026,f1027,f1028,f1029,f1030,f1031,f1033,f1036,f1054,f1057,f1058,f1059,f1060,f1064,f1065,f1068,f1069,f1070,f1071,f1072,f1074,f1075,f1076,f1077,f1080,f1081,f1082,f1083,f1084,f1085,f1086,f1087,f1092,f1093,f1094,f1095,f1096,f1097,f1098,f766,f1099,f1100,f1101,f1102,f1103,f1104,f1105,f1106,f1107,f1108,f1109,f1110,f1111,f1112,f1119,f1120,f1121,f1122,f1123,f1124,f1125,f1126,f1127,f1128,f1129,f1130,f1131,f1132,f1158,f1159,f1160,f1163,f1166,f1167,f1168,f1173,f1174,f1175,f1176,f1177,f1179,f1180,f1181,f1182,f1183,f1185,f1186,f1187,f1188,f1192,f1193,f1195,f1196,f1197,f1198,f1199,f1210,f1211,f1231,f1232,f1233,f1236,f1239,f1240,f1241,f1246,f1247,f1248,f1249,f1250,f1252,f1253,f1254,f1255,f1256,f1258,f1259,f1260,f1261,f1265,f1266,f1268,f1269,f1270,f1271,f1272,f1283,f1284,f802,f1285,f1286,f1287,f1288,f1289,f1290,f1291,f1292,f1295,f1296,f1297,f1298,f1299,f1300,f1306,f1307,f1308,f195,f1320,f1316,f1314,f1321,f1313,f1319,f1325,f1322,f1323,f1326,f1330,f1327,f1328,f1333,f1331,f1335,f1317,f1337,f200,f1339,f1340,f1318,f1343,f858,f1344,f1345,f1346,f1347,f1348,f1349,f1350,f1351,f1352,f1353,f1354,f1355,f1356,f1357,f1358,f1359,f1360,f1361,f864,f1374,f1375,f1376,f1377,f1378,f1379,f1380,f1381,f1384,f1385,f1386,f1387,f1388,f1389,f385,f1404,f1405,f1406,f1407,f1408,f548,f1415,f1416,f1417,f1418,f1419,f1420,f1421,f1422,f1423,f1424,f1425,f1411,f1427,f1432,f1433,f1438,f1439,f1440,f1441,f1442,f1443,f1444,f1445,f1446,f1447,f1448,f1449,f1450,f1451,f1452,f1455,f1456,f1457,f1458,f1459,f1460,f212,f1461,f1462,f1463,f1464,f1465,f1466,f1471,f1468,f1469,f1470,f214,f1473,f1474,f404,f1475,f1476,f1479,f1480,f1481,f1482,f1485,f1486,f1489,f215,f1516,f1519,f1530,f1529,f1531,f405,f1535,f1536,f1539,f1540,f1541,f1542,f1545,f1546,f1549,f470,f1575,f1576,f1577,f1578,f1579,f1580,f1581,f1582,f1585,f1586,f1587,f1588,f1589,f1590,f1593,f1594,f1596,f1597,f1598,f476,f1601,f1602,f1603,f1604,f1605,f1606,f1608,f1609,f1610,f1611,f1612,f1613,f1615,f1616,f1617,f1618,f1619,f1620,f1622,f1623,f1624,f1625,f1626,f1627,f1629,f1630,f1631,f1632,f1633,f1634,f477,f1650,f1651,f1652,f1653,f1654,f1655,f1656,f1657,f1658,f1659,f1660,f1661,f1662,f1663,f1664,f1665,f1666,f1667,f1668,f1669,f1670,f198,f1671,f798,f1672,f1673,f1674,f1675,f1676,f1677,f1678,f1679,f1682,f1683,f1684,f1685,f1686,f1687,f1693,f1694,f1695,f199,f1702,f1703,f1704,f1705,f1706,f1707,f1708,f1709,f1710,f1711,f1712,f1713,f1714,f1715,f1716,f1717,f1718,f1719,f1720,f1721,f1722,f1723,f1724,f1700,f1701,f818,f1726,f1729,f1730,f1731,f1732,f1733,f1734,f1735,f1736,f1737,f1738,f1739,f1740,f1741,f1742,f1743,f1744,f1745,f1748,f1749,f1750,f1751,f1754,f1755,f1758,f854,f1792,f1793,f1794,f1795,f1796,f1797,f1798,f1799,f1800,f18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).
fof(f2567,plain,
( removemin_pq_eff(i(triple(sK0,sK1,sK2)),findmin_pqp_res(sK0)) = remove_pq(i(triple(sK0,sK1,sK2)),findmin_pqp_res(sK0))
| ~ contains_pq(i(triple(sK0,sK1,sK2)),findmin_pqp_res(sK0))
| ~ spl6_8 ),
inference(resolution,[],[f2565,f174]) ).
fof(f2565,plain,
( issmallestelement_pq(i(triple(sK0,sK1,sK2)),findmin_pqp_res(sK0))
| ~ spl6_8 ),
inference(resolution,[],[f2531,f180]) ).
fof(f2566,plain,
( contains_pq(i(triple(sK0,sK1,sK2)),findmin_pqp_res(sK0))
| ~ spl6_8 ),
inference(resolution,[],[f2531,f179]) ).
fof(f2522,plain,
! [X2,X3,X0,X1] :
( ~ ok(removemin_cpq_eff(triple(X0,X1,X2)))
| ~ check_cpq(remove_cpq(findmin_cpq_eff(triple(X0,X1,X2)),findmin_pqp_res(X0)))
| phi(X3)
| ~ succ_cpq(X3,findmin_cpq_eff(triple(X0,X1,X2)))
| create_slb = X1 ),
inference(superposition,[],[f240,f372]) ).
fof(f2520,plain,
! [X2,X3,X0,X1] :
( removemin_cpq_eff(insert_cpq(triple(X0,X2,X3),X1)) = remove_cpq(findmin_cpq_eff(insert_cpq(triple(X0,X2,X3),X1)),findmin_pqp_res(insert_pqp(X0,X1)))
| create_slb = insert_slb(X2,pair(X1,bottom)) ),
inference(superposition,[],[f372,f195]) ).
fof(f372,plain,
! [X2,X0,X1] :
( removemin_cpq_eff(triple(X0,X1,X2)) = remove_cpq(findmin_cpq_eff(triple(X0,X1,X2)),findmin_pqp_res(X0))
| create_slb = X1 ),
inference(superposition,[],[f155,f196]) ).
fof(f676,plain,
( findmin_cpq_res(triple(sK0,sK1,sK2)) != sK3(triple(sK0,sK1,sK2))
| ~ pi_sharp_find_min(i(triple(sK0,sK1,sK2)),findmin_cpq_res(triple(sK0,sK1,sK2))) ),
inference(inner_rewriting,[],[f675]) ).
fof(f2476,plain,
! [X2,X3,X0,X1,X4,X5] :
( removemin_pq_res(insert_pq(i(triple(X0,X1,X4)),X2),X5) = X5
| ~ contains_pq(insert_pq(i(triple(X0,X1,X4)),X2),X5)
| ~ less_than(X5,sK3(triple(X0,insert_slb(X1,pair(X2,X3)),X4)))
| ~ pi_find_min(triple(X0,insert_slb(X1,pair(X2,X3)),X4)) ),
inference(forward_demodulation,[],[f2473,f212]) ).
fof(f2473,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ contains_pq(insert_pq(i(triple(X0,X1,X4)),X2),X5)
| ~ less_than(X5,sK3(triple(X0,insert_slb(X1,pair(X2,X3)),X4)))
| removemin_pq_res(i(triple(X0,insert_slb(X1,pair(X2,X3)),X4)),X5) = X5
| ~ pi_find_min(triple(X0,insert_slb(X1,pair(X2,X3)),X4)) ),
inference(superposition,[],[f2210,f212]) ).
fof(f2471,plain,
! [X0,X1] :
( ~ less_than(sK5(i(X0),X1),sK3(X0))
| sK5(i(X0),X1) = removemin_pq_res(i(X0),sK5(i(X0),X1))
| ~ pi_find_min(X0)
| issmallestelement_pq(i(X0),X1) ),
inference(resolution,[],[f2210,f177]) ).
fof(f2475,plain,
! [X2,X0,X1] :
( findmin_cpq_res(triple(X0,X1,X2)) = removemin_pq_res(i(triple(X0,X1,X2)),findmin_cpq_res(triple(X0,X1,X2)))
| ~ phi(findmin_cpq_eff(triple(X0,X1,X2))) ),
inference(global_subsumption,[],[f175,f203,f146,f147,f148,f149,f150,f151,f152,f142,f161,f162,f143,f153,f154,f158,f159,f163,f182,f220,f157,f168,f179,f180,f183,f156,f164,f165,f227,f166,f169,f170,f221,f225,f228,f226,f230,f155,f231,f177,f232,f178,f235,f187,f233,f188,f189,f193,f223,f234,f236,f160,f238,f245,f176,f181,f184,f185,f191,f254,f252,f207,f208,f253,f265,f264,f267,f271,f272,f273,f275,f276,f277,f167,f210,f246,f171,f294,f296,f295,f172,f301,f303,f302,f173,f308,f310,f309,f304,f313,f311,f315,f186,f318,f319,f320,f327,f328,f331,f334,f335,f336,f338,f339,f342,f325,f343,f344,f349,f348,f356,f358,f192,f367,f369,f196,f372,f241,f243,f324,f375,f255,f381,f382,f383,f384,f266,f386,f388,f213,f354,f391,f392,f355,f397,f398,f357,f406,f407,f408,f410,f218,f286,f417,f287,f421,f423,f420,f433,f440,f435,f437,f441,f439,f323,f447,f449,f242,f454,f453,f455,f174,f458,f463,f464,f465,f466,f468,f469,f467,f471,f268,f474,f475,f479,f480,f481,f482,f484,f485,f486,f487,f489,f490,f491,f492,f269,f506,f507,f508,f509,f510,f511,f512,f513,f514,f209,f297,f517,f519,f520,f521,f522,f314,f525,f526,f527,f528,f316,f531,f532,f533,f534,f239,f240,f537,f424,f539,f442,f549,f550,f551,f459,f552,f289,f555,f559,f197,f568,f567,f570,f569,f347,f584,f585,f352,f590,f591,f216,f353,f600,f601,f409,f610,f611,f612,f613,f614,f615,f616,f617,f618,f619,f620,f217,f565,f632,f298,f305,f312,f380,f636,f637,f638,f639,f640,f642,f643,f644,f645,f646,f648,f649,f650,f651,f652,f389,f662,f663,f664,f665,f666,f667,f668,f669,f670,f671,f672,f673,f144,f675,f676,f674,f683,f684,f685,f690,f691,f692,f693,f445,f702,f703,f705,f706,f446,f711,f712,f714,f715,f461,f717,f718,f719,f720,f721,f722,f524,f726,f727,f728,f729,f730,f530,f733,f734,f735,f736,f737,f145,f746,f744,f317,f757,f758,f759,f760,f762,f763,f764,f767,f768,f769,f770,f771,f774,f775,f777,f778,f799,f800,f808,f809,f810,f811,f812,f814,f815,f819,f820,f821,f822,f823,f828,f829,f830,f831,f832,f833,f834,f849,f850,f851,f855,f856,f862,f865,f866,f867,f870,f871,f875,f876,f877,f878,f884,f885,f886,f890,f368,f898,f899,f900,f901,f902,f905,f906,f374,f907,f908,f909,f910,f913,f914,f916,f917,f918,f190,f922,f932,f925,f926,f927,f928,f929,f761,f933,f934,f935,f936,f937,f938,f941,f942,f943,f944,f945,f949,f950,f951,f952,f953,f954,f957,f958,f959,f960,f961,f966,f969,f987,f990,f991,f992,f993,f997,f998,f1001,f1002,f1003,f1004,f1005,f1007,f1008,f1009,f1010,f1013,f1014,f1015,f1016,f1017,f1018,f1019,f1020,f1025,f1026,f1027,f1028,f1029,f1030,f1031,f1033,f1036,f1054,f1057,f1058,f1059,f1060,f1064,f1065,f1068,f1069,f1070,f1071,f1072,f1074,f1075,f1076,f1077,f1080,f1081,f1082,f1083,f1084,f1085,f1086,f1087,f1092,f1093,f1094,f1095,f1096,f1097,f1098,f766,f1099,f1100,f1101,f1102,f1103,f1104,f1105,f1106,f1107,f1108,f1109,f1110,f1111,f1112,f1119,f1120,f1121,f1122,f1123,f1124,f1125,f1126,f1127,f1128,f1129,f1130,f1131,f1132,f1158,f1159,f1160,f1163,f1166,f1167,f1168,f1173,f1174,f1175,f1176,f1177,f1179,f1180,f1181,f1182,f1183,f1185,f1186,f1187,f1188,f1192,f1193,f1195,f1196,f1197,f1198,f1199,f1210,f1211,f1231,f1232,f1233,f1236,f1239,f1240,f1241,f1246,f1247,f1248,f1249,f1250,f1252,f1253,f1254,f1255,f1256,f1258,f1259,f1260,f1261,f1265,f1266,f1268,f1269,f1270,f1271,f1272,f1283,f1284,f802,f1285,f1286,f1287,f1288,f1289,f1290,f1291,f1292,f1295,f1296,f1297,f1298,f1299,f1300,f1306,f1307,f1308,f195,f1320,f1316,f1314,f1321,f1313,f1319,f1325,f1322,f1323,f1326,f1330,f1327,f1328,f1333,f1331,f1335,f1317,f1337,f200,f1339,f1340,f1318,f1343,f858,f1344,f1345,f1346,f1347,f1348,f1349,f1350,f1351,f1352,f1353,f1354,f1355,f1356,f1357,f1358,f1359,f1360,f1361,f864,f1374,f1375,f1376,f1377,f1378,f1379,f1380,f1381,f1384,f1385,f1386,f1387,f1388,f1389,f385,f1404,f1405,f1406,f1407,f1408,f548,f1415,f1416,f1417,f1418,f1419,f1420,f1421,f1422,f1423,f1424,f1425,f1411,f1427,f1432,f1433,f1438,f1439,f1440,f1441,f1442,f1443,f1444,f1445,f1446,f1447,f1448,f1449,f1450,f1451,f1452,f1455,f1456,f1457,f1458,f1459,f1460,f212,f1461,f1462,f1463,f1464,f1465,f1466,f1471,f1468,f1469,f1470,f214,f1473,f1474,f404,f1475,f1476,f1479,f1480,f1481,f1482,f1485,f1486,f1489,f215,f1516,f1519,f1530,f1529,f1531,f405,f1535,f1536,f1539,f1540,f1541,f1542,f1545,f1546,f1549,f470,f1575,f1576,f1577,f1578,f1579,f1580,f1581,f1582,f1585,f1586,f1587,f1588,f1589,f1590,f1593,f1594,f1596,f1597,f1598,f476,f1601,f1602,f1603,f1604,f1605,f1606,f1608,f1609,f1610,f1611,f1612,f1613,f1615,f1616,f1617,f1618,f1619,f1620,f1622,f1623,f1624,f1625,f1626,f1627,f1629,f1630,f1631,f1632,f1633,f1634,f477,f1650,f1651,f1652,f1653,f1654,f1655,f1656,f1657,f1658,f1659,f1660,f1661,f1662,f1663,f1664,f1665,f1666,f1667,f1668,f1669,f1670,f198,f1671,f798,f1672,f1673,f1674,f1675,f1676,f1677,f1678,f1679,f1682,f1683,f1684,f1685,f1686,f1687,f1693,f1694,f1695,f199,f1702,f1703,f1704,f1705,f1706,f1707,f1708,f1709,f1710,f1711,f1712,f1713,f1714,f1715,f1716,f1717,f1718,f1719,f1720,f1721,f1722,f1723,f1724,f1700,f1701,f818,f1726,f1729,f1730,f1731,f1732,f1733,f1734,f1735,f1736,f1737,f1738,f1739,f1740,f1741,f1742,f1743,f1744,f1745,f1748,f1749,f1750,f1751,f1754,f1755,f1758,f854,f1792,f1793,f1794,f1795,f1796,f1797,f1798,f1799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).
fof(f2470,plain,
! [X2,X0,X1] :
( ~ less_than(findmin_cpq_res(triple(X0,X1,X2)),sK3(triple(X0,X1,X2)))
| findmin_cpq_res(triple(X0,X1,X2)) = removemin_pq_res(i(triple(X0,X1,X2)),findmin_cpq_res(triple(X0,X1,X2)))
| ~ pi_find_min(triple(X0,X1,X2))
| ~ phi(findmin_cpq_eff(triple(X0,X1,X2))) ),
inference(resolution,[],[f2210,f739]) ).
fof(f2210,plain,
! [X0,X1] :
( ~ contains_pq(i(X0),X1)
| ~ less_than(X1,sK3(X0))
| removemin_pq_res(i(X0),X1) = X1
| ~ pi_find_min(X0) ),
inference(resolution,[],[f2206,f172]) ).
fof(f2467,plain,
! [X2,X3,X0,X1,X4] :
( pi_sharp_find_min(insert_pq(i(triple(X0,X1,X4)),X2),findmin_pqp_res(X0))
| ~ phi(findmin_cpq_eff(triple(X0,insert_slb(X1,pair(X2,X3)),X4)))
| create_slb = insert_slb(X1,pair(X2,X3)) ),
inference(superposition,[],[f742,f212]) ).
fof(f2468,plain,
! [X2,X3,X0,X1] :
( ~ phi(findmin_cpq_eff(insert_cpq(triple(X0,X2,X3),X1)))
| pi_sharp_find_min(i(insert_cpq(triple(X0,X2,X3),X1)),findmin_pqp_res(insert_pqp(X0,X1)))
| create_slb = insert_slb(X2,pair(X1,bottom)) ),
inference(forward_demodulation,[],[f2465,f195]) ).
fof(f2465,plain,
! [X2,X3,X0,X1] :
( pi_sharp_find_min(i(insert_cpq(triple(X0,X2,X3),X1)),findmin_pqp_res(insert_pqp(X0,X1)))
| ~ phi(findmin_cpq_eff(triple(insert_pqp(X0,X1),insert_slb(X2,pair(X1,bottom)),X3)))
| create_slb = insert_slb(X2,pair(X1,bottom)) ),
inference(superposition,[],[f742,f195]) ).
fof(f2464,plain,
! [X2,X0,X1] :
( ~ phi(findmin_cpq_eff(triple(X0,X1,X2)))
| create_slb = X1
| contains_pq(i(triple(X0,X1,X2)),findmin_pqp_res(X0)) ),
inference(resolution,[],[f742,f179]) ).
fof(f2463,plain,
! [X2,X0,X1] :
( ~ phi(findmin_cpq_eff(triple(X0,X1,X2)))
| create_slb = X1
| issmallestelement_pq(i(triple(X0,X1,X2)),findmin_pqp_res(X0)) ),
inference(resolution,[],[f742,f180]) ).
fof(f742,plain,
! [X2,X0,X1] :
( pi_sharp_find_min(i(triple(X0,X1,X2)),findmin_pqp_res(X0))
| ~ phi(findmin_cpq_eff(triple(X0,X1,X2)))
| create_slb = X1 ),
inference(superposition,[],[f145,f196]) ).
fof(f2462,plain,
! [X2,X3,X0,X1,X4,X5] :
( findmin_pq_res(insert_pq(i(triple(X0,X1,X4)),X2),X5) = X5
| ~ contains_pq(insert_pq(i(triple(X0,X1,X4)),X2),X5)
| ~ less_than(X5,sK3(triple(X0,insert_slb(X1,pair(X2,X3)),X4)))
| ~ pi_find_min(triple(X0,insert_slb(X1,pair(X2,X3)),X4)) ),
inference(forward_demodulation,[],[f2459,f212]) ).
fof(f2459,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ contains_pq(insert_pq(i(triple(X0,X1,X4)),X2),X5)
| ~ less_than(X5,sK3(triple(X0,insert_slb(X1,pair(X2,X3)),X4)))
| findmin_pq_res(i(triple(X0,insert_slb(X1,pair(X2,X3)),X4)),X5) = X5
| ~ pi_find_min(triple(X0,insert_slb(X1,pair(X2,X3)),X4)) ),
inference(superposition,[],[f2209,f212]) ).
fof(f2457,plain,
! [X0,X1] :
( ~ less_than(sK5(i(X0),X1),sK3(X0))
| sK5(i(X0),X1) = findmin_pq_res(i(X0),sK5(i(X0),X1))
| ~ pi_find_min(X0)
| issmallestelement_pq(i(X0),X1) ),
inference(resolution,[],[f2209,f177]) ).
fof(f2461,plain,
! [X2,X0,X1] :
( findmin_cpq_res(triple(X0,X1,X2)) = findmin_pq_res(i(triple(X0,X1,X2)),findmin_cpq_res(triple(X0,X1,X2)))
| ~ phi(findmin_cpq_eff(triple(X0,X1,X2))) ),
inference(global_subsumption,[],[f175,f203,f146,f147,f148,f149,f150,f151,f152,f142,f161,f162,f143,f153,f154,f158,f159,f163,f182,f220,f157,f168,f179,f180,f183,f156,f164,f165,f227,f166,f169,f170,f221,f225,f228,f226,f230,f155,f231,f177,f232,f178,f235,f187,f233,f188,f189,f193,f223,f234,f236,f160,f238,f245,f176,f181,f184,f185,f191,f254,f252,f207,f208,f253,f265,f264,f267,f271,f272,f273,f275,f276,f277,f167,f210,f246,f171,f294,f296,f295,f172,f301,f303,f302,f173,f308,f310,f309,f304,f313,f311,f315,f186,f318,f319,f320,f327,f328,f331,f334,f335,f336,f338,f339,f342,f325,f343,f344,f349,f348,f356,f358,f192,f367,f369,f196,f372,f241,f243,f324,f375,f255,f381,f382,f383,f384,f266,f386,f388,f213,f354,f391,f392,f355,f397,f398,f357,f406,f407,f408,f410,f218,f286,f417,f287,f421,f423,f420,f433,f440,f435,f437,f441,f439,f323,f447,f449,f242,f454,f453,f455,f174,f458,f463,f464,f465,f466,f468,f469,f467,f471,f268,f474,f475,f479,f480,f481,f482,f484,f485,f486,f487,f489,f490,f491,f492,f269,f506,f507,f508,f509,f510,f511,f512,f513,f514,f209,f297,f517,f519,f520,f521,f522,f314,f525,f526,f527,f528,f316,f531,f532,f533,f534,f239,f240,f537,f424,f539,f442,f549,f550,f551,f459,f552,f289,f555,f559,f197,f568,f567,f570,f569,f347,f584,f585,f352,f590,f591,f216,f353,f600,f601,f409,f610,f611,f612,f613,f614,f615,f616,f617,f618,f619,f620,f217,f565,f632,f298,f305,f312,f380,f636,f637,f638,f639,f640,f642,f643,f644,f645,f646,f648,f649,f650,f651,f652,f389,f662,f663,f664,f665,f666,f667,f668,f669,f670,f671,f672,f673,f144,f675,f676,f674,f683,f684,f685,f690,f691,f692,f693,f445,f702,f703,f705,f706,f446,f711,f712,f714,f715,f461,f717,f718,f719,f720,f721,f722,f524,f726,f727,f728,f729,f730,f530,f733,f734,f735,f736,f737,f145,f746,f742,f744,f317,f757,f758,f759,f760,f762,f763,f764,f767,f768,f769,f770,f771,f774,f775,f777,f778,f799,f800,f808,f809,f810,f811,f812,f814,f815,f819,f820,f821,f822,f823,f828,f829,f830,f831,f832,f833,f834,f849,f850,f851,f855,f856,f862,f865,f866,f867,f870,f871,f875,f876,f877,f878,f884,f885,f886,f890,f368,f898,f899,f900,f901,f902,f905,f906,f374,f907,f908,f909,f910,f913,f914,f916,f917,f918,f190,f922,f932,f925,f926,f927,f928,f929,f761,f933,f934,f935,f936,f937,f938,f941,f942,f943,f944,f945,f949,f950,f951,f952,f953,f954,f957,f958,f959,f960,f961,f966,f969,f987,f990,f991,f992,f993,f997,f998,f1001,f1002,f1003,f1004,f1005,f1007,f1008,f1009,f1010,f1013,f1014,f1015,f1016,f1017,f1018,f1019,f1020,f1025,f1026,f1027,f1028,f1029,f1030,f1031,f1033,f1036,f1054,f1057,f1058,f1059,f1060,f1064,f1065,f1068,f1069,f1070,f1071,f1072,f1074,f1075,f1076,f1077,f1080,f1081,f1082,f1083,f1084,f1085,f1086,f1087,f1092,f1093,f1094,f1095,f1096,f1097,f1098,f766,f1099,f1100,f1101,f1102,f1103,f1104,f1105,f1106,f1107,f1108,f1109,f1110,f1111,f1112,f1119,f1120,f1121,f1122,f1123,f1124,f1125,f1126,f1127,f1128,f1129,f1130,f1131,f1132,f1158,f1159,f1160,f1163,f1166,f1167,f1168,f1173,f1174,f1175,f1176,f1177,f1179,f1180,f1181,f1182,f1183,f1185,f1186,f1187,f1188,f1192,f1193,f1195,f1196,f1197,f1198,f1199,f1210,f1211,f1231,f1232,f1233,f1236,f1239,f1240,f1241,f1246,f1247,f1248,f1249,f1250,f1252,f1253,f1254,f1255,f1256,f1258,f1259,f1260,f1261,f1265,f1266,f1268,f1269,f1270,f1271,f1272,f1283,f1284,f802,f1285,f1286,f1287,f1288,f1289,f1290,f1291,f1292,f1295,f1296,f1297,f1298,f1299,f1300,f1306,f1307,f1308,f195,f1320,f1316,f1314,f1321,f1313,f1319,f1325,f1322,f1323,f1326,f1330,f1327,f1328,f1333,f1331,f1335,f1317,f1337,f200,f1339,f1340,f1318,f1343,f858,f1344,f1345,f1346,f1347,f1348,f1349,f1350,f1351,f1352,f1353,f1354,f1355,f1356,f1357,f1358,f1359,f1360,f1361,f864,f1374,f1375,f1376,f1377,f1378,f1379,f1380,f1381,f1384,f1385,f1386,f1387,f1388,f1389,f385,f1404,f1405,f1406,f1407,f1408,f548,f1415,f1416,f1417,f1418,f1419,f1420,f1421,f1422,f1423,f1424,f1425,f1411,f1427,f1432,f1433,f1438,f1439,f1440,f1441,f1442,f1443,f1444,f1445,f1446,f1447,f1448,f1449,f1450,f1451,f1452,f1455,f1456,f1457,f1458,f1459,f1460,f212,f1461,f1462,f1463,f1464,f1465,f1466,f1471,f1468,f1469,f1470,f214,f1473,f1474,f404,f1475,f1476,f1479,f1480,f1481,f1482,f1485,f1486,f1489,f215,f1516,f1519,f1530,f1529,f1531,f405,f1535,f1536,f1539,f1540,f1541,f1542,f1545,f1546,f1549,f470,f1575,f1576,f1577,f1578,f1579,f1580,f1581,f1582,f1585,f1586,f1587,f1588,f1589,f1590,f1593,f1594,f1596,f1597,f1598,f476,f1601,f1602,f1603,f1604,f1605,f1606,f1608,f1609,f1610,f1611,f1612,f1613,f1615,f1616,f1617,f1618,f1619,f1620,f1622,f1623,f1624,f1625,f1626,f1627,f1629,f1630,f1631,f1632,f1633,f1634,f477,f1650,f1651,f1652,f1653,f1654,f1655,f1656,f1657,f1658,f1659,f1660,f1661,f1662,f1663,f1664,f1665,f1666,f1667,f1668,f1669,f1670,f198,f1671,f798,f1672,f1673,f1674,f1675,f1676,f1677,f1678,f1679,f1682,f1683,f1684,f1685,f1686,f1687,f1693,f1694,f1695,f199,f1702,f1703,f1704,f1705,f1706,f1707,f1708,f1709,f1710,f1711,f1712,f1713,f1714,f1715,f1716,f1717,f1718,f1719,f1720,f1721,f1722,f1723,f1724,f1700,f1701,f818,f1726,f1729,f1730,f1731,f1732,f1733,f1734,f1735,f1736,f1737,f1738,f1739,f1740,f1741,f1742,f1743,f1744,f1745,f1748,f1749,f1750,f1751,f1754,f1755,f1758,f854,f1792,f1793,f1794,f1795,f1796,f1797,f1798,f1799,f1800,f1801,f1802,f1803,f1804,f1805,f1806,f1807,f1808,f1809,f889,f1822,f1823,f1824,f1825,f1826,f1827,f1828,f1829,f1832,f1833,f1834,f1835,f1836,f1837,f202,f1853,f1854,f201,f1859,f1856,f1857,f1858,f689,f1860,f1861,f1862,f1863,f1864,f1866,f205,f1867,f1870,f1332,f1871,f206,f1872,f1873,f1874,f1875,f1876,f1877,f1878,f1879,f1880,f1881,f1882,f1883,f1884,f1885,f1886,f1887,f1888,f1891,f1341,f1895,f1896,f448,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,f1926,f1927,f1928,f1929,f1930,f1931,f1934,f1935,f1937,f1938,f1939,f801,f1940,f1941,f1943,f1944,f1945,f1946,f1947,f1948,f1949,f1950,f1951,f1952,f1953,f1954,f1955,f1956,f1957,f1958,f1959,f1960,f1961,f1962,f1963,f1964,f1965,f1966,f1969,f1970,f1971,f1972,f1973,f1974,f1980,f1981,f1982,f857,f1983,f1984,f1985,f1986,f1987,f1988,f1989,f1990,f1991,f1992,f1993,f1994,f1995,f1996,f1997,f1998,f1999,f2000,f2001,f2002,f2003,f2004,f2005,f2006,f2007,f2008,f2009,f2010,f2011,f2012,f2013,f2014,f2015,f2016,f2017,f2018,f2019,f868,f2026,f2027,f2028,f2029,f2030,f2031,f2032,f2033,f2034,f2035,f2036,f2037,f2038,f2039,f2040,f2041,f2042,f2043,f2044,f2045,f2046,f2047,f2048,f2049,f2050,f2051,f2052,f2055,f2056,f2057,f2058,f2059,f2060,f387,f2069,f2070,f2071,f2072,f2073,f2074,f2075,f2076,f2078,f2079,f2080,f2081,f2082,f2083,f2084,f2085,f1892,f2089,f2090,f2091,f204,f2092,f2093,f2094,f2095,f2096,f2097,f2098,f2099,f2100,f2101,f2102,f2103,f2104,f2105,f2106,f2107,f2108,f2111,f2110,f443,f2116,f2117,f2118,f2119,f2120,f2121,f2122,f2123,f2124,f2125,f2126,f2127,f2128,f2129,f2130,f2131,f2132,f444,f2137,f2138,f2139,f2140,f2141,f2142,f2143,f2144,f2145,f2146,f2147,f2148,f2149,f2150,f2151,f2152,f2153,f518,f2154,f2155,f2156,f2157,f2158,f2159,f2160,f2161,f2162,f2163,f2164,f2165,f2166,f738,f2167,f2168,f2169,f2170,f2171,f2173,f2177,f2176,f556,f2190,f2181,f2182,f2183,f2184,f2185,f2186,f2192,f557,f2205,f2196,f2197,f2198,f2199,f2200,f2201,f2207,f2206,f2208,f2210,f2211,f2214,f2204,f2219,f2220,f2221,f2222,f2223,f2224,f2225,f2226,f2227,f2228,f2229,f2230,f2231,f2232,f2233,f2234,f2235,f2236,f2237,f2238,f2239,f2240,f2212,f2244,f704,f2250,f2251,f2252,f2253,f2254,f2255,f2256,f2257,f2258,f2259,f2260,f2261,f2262,f2263,f2264,f2265,f2266,f713,f2271,f2272,f2273,f2274,f2275,f2276,f2277,f2278,f2279,f2280,f2281,f2282,f2283,f2284,f2285,f2286,f2287,f1336,f2289,f2290,f681,f2292,f2294,f739,f2296,f2297,f2298,f2299,f2300,f2302,f2308,f2305,f682,f2312,f2313,f2314,f2315,f2316,f2318,f2319,f2320,f2321,f686,f2326,f2327,f2328,f2329,f2330,f2331,f2333,f2334,f2335,f2336,f2337,f2338,f2339,f2340,f2341,f2343,f2344,f2345,f2346,f2347,f2348,f2349,f2350,f2351,f2352,f2353,f2355,f2356,f2357,f2358,f2359,f2360,f2365,f687,f2370,f2371,f2372,f2373,f2374,f2375,f2376,f2377,f2378,f2379,f2380,f2381,f2382,f2383,f2384,f2385,f2386,f2387,f2388,f2389,f2390,f2391,f2392,f2393,f2394,f2395,f694,f2400,f2401,f2402,f2403,f2404,f2405,f2406,f2407,f2408,f2409,f2410,f2411,f2412,f2413,f2414,f2415,f2416,f2417,f2418,f2419,f2420,f2421,f2422,f2423,f2424,f2425,f2426,f2427,f2428,f725,f2430,f2431,f2432,f2433,f2434,f2435,f2436,f2437,f2438,f2439,f2440,f2441,f732,f2443,f2444,f2445,f2446,f2447,f2448,f2449,f2450,f2451,f2452,f2453,f2454,f2209,f2456]) ).
fof(f2456,plain,
! [X2,X0,X1] :
( ~ less_than(findmin_cpq_res(triple(X0,X1,X2)),sK3(triple(X0,X1,X2)))
| findmin_cpq_res(triple(X0,X1,X2)) = findmin_pq_res(i(triple(X0,X1,X2)),findmin_cpq_res(triple(X0,X1,X2)))
| ~ pi_find_min(triple(X0,X1,X2))
| ~ phi(findmin_cpq_eff(triple(X0,X1,X2))) ),
inference(resolution,[],[f2209,f739]) ).
fof(f2209,plain,
! [X0,X1] :
( ~ contains_pq(i(X0),X1)
| ~ less_than(X1,sK3(X0))
| findmin_pq_res(i(X0),X1) = X1
| ~ pi_find_min(X0) ),
inference(resolution,[],[f2206,f173]) ).
fof(f2454,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( bottom = findmin_pq_res(insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(X0,X1),X2),X3),X4),X5),X6),X7),bottom)
| ~ contains_pq(insert_pq(insert_pq(X0,X2),X3),bottom) ),
inference(resolution,[],[f732,f448]) ).
fof(f2453,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( bottom = findmin_pq_res(insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(X0,X1),X2),X3),X4),X5),X6),X7),bottom)
| ~ contains_pq(insert_pq(insert_pq(X0,X2),X1),bottom) ),
inference(resolution,[],[f732,f801]) ).
fof(f2452,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( bottom = findmin_pq_res(insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(X0,X1),X2),X3),X4),X5),X6),X7),bottom)
| ~ contains_pq(insert_pq(insert_pq(X0,X3),X2),bottom) ),
inference(resolution,[],[f732,f857]) ).
fof(f2451,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( bottom = findmin_pq_res(insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(X0,X1),X2),X3),X4),X5),X6),X7),bottom)
| ~ contains_pq(insert_pq(insert_pq(X0,X3),X1),bottom) ),
inference(resolution,[],[f732,f868]) ).
fof(f2450,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( bottom = findmin_pq_res(insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(X0,X1),X2),X3),X4),X5),X6),bottom)
| ~ contains_pq(insert_pq(X0,X2),bottom) ),
inference(resolution,[],[f732,f323]) ).
fof(f2449,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( bottom = findmin_pq_res(insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(X0,X1),X2),X3),X4),X5),X6),bottom)
| bottom = X7
| ~ contains_pq(X0,bottom) ),
inference(resolution,[],[f732,f1411]) ).
fof(f2448,plain,
! [X2,X3,X0,X1,X8,X6,X9,X7,X4,X5] : bottom = findmin_pq_res(insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(X0,bottom),X1),X2),X3),X4),X5),X6),X7),X8),X9),bottom),
inference(resolution,[],[f732,f818]) ).
fof(f2447,plain,
! [X2,X3,X0,X1,X8,X6,X7,X4,X5] : bottom = findmin_pq_res(insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(X0,bottom),X1),X2),X3),X4),X5),X6),X7),X8),bottom),
inference(resolution,[],[f732,f409]) ).
fof(f2446,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] : bottom = findmin_pq_res(insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(X0,bottom),X1),X2),X3),X4),X5),X6),X7),bottom),
inference(resolution,[],[f732,f357]) ).
fof(f2445,plain,
! [X2,X3,X0,X1,X6,X4,X5] : bottom = findmin_pq_res(insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(X0,bottom),X1),X2),X3),X4),X5),X6),bottom),
inference(resolution,[],[f732,f348]) ).
fof(f2444,plain,
! [X2,X3,X0,X1,X4,X5] : bottom = findmin_pq_res(insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(X0,bottom),X1),X2),X3),X4),X5),bottom),
inference(resolution,[],[f732,f325]) ).
fof(f2443,plain,
! [X2,X3,X0,X1,X4,X5] :
( bottom = findmin_pq_res(insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(X0,X1),X2),X3),X4),X5),bottom)
| ~ contains_pq(X0,bottom) ),
inference(resolution,[],[f732,f193]) ).
fof(f732,plain,
! [X2,X3,X0,X1,X4] :
( ~ contains_pq(X0,bottom)
| bottom = findmin_pq_res(insert_pq(insert_pq(insert_pq(insert_pq(X0,X1),X2),X3),X4),bottom) ),
inference(resolution,[],[f530,f193]) ).
fof(f2441,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( bottom = removemin_pq_res(insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(X0,X1),X2),X3),X4),X5),X6),X7),bottom)
| ~ contains_pq(insert_pq(insert_pq(X0,X2),X3),bottom) ),
inference(resolution,[],[f725,f448]) ).
fof(f2440,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( bottom = removemin_pq_res(insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(X0,X1),X2),X3),X4),X5),X6),X7),bottom)
| ~ contains_pq(insert_pq(insert_pq(X0,X2),X1),bottom) ),
inference(resolution,[],[f725,f801]) ).
fof(f2439,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( bottom = removemin_pq_res(insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(X0,X1),X2),X3),X4),X5),X6),X7),bottom)
| ~ contains_pq(insert_pq(insert_pq(X0,X3),X2),bottom) ),
inference(resolution,[],[f725,f857]) ).
fof(f2438,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( bottom = removemin_pq_res(insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(X0,X1),X2),X3),X4),X5),X6),X7),bottom)
| ~ contains_pq(insert_pq(insert_pq(X0,X3),X1),bottom) ),
inference(resolution,[],[f725,f868]) ).
fof(f2437,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( bottom = removemin_pq_res(insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(X0,X1),X2),X3),X4),X5),X6),bottom)
| ~ contains_pq(insert_pq(X0,X2),bottom) ),
inference(resolution,[],[f725,f323]) ).
fof(f2436,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( bottom = removemin_pq_res(insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(X0,X1),X2),X3),X4),X5),X6),bottom)
| bottom = X7
| ~ contains_pq(X0,bottom) ),
inference(resolution,[],[f725,f1411]) ).
fof(f2435,plain,
! [X2,X3,X0,X1,X8,X6,X9,X7,X4,X5] : bottom = removemin_pq_res(insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(X0,bottom),X1),X2),X3),X4),X5),X6),X7),X8),X9),bottom),
inference(resolution,[],[f725,f818]) ).
fof(f2434,plain,
! [X2,X3,X0,X1,X8,X6,X7,X4,X5] : bottom = removemin_pq_res(insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(X0,bottom),X1),X2),X3),X4),X5),X6),X7),X8),bottom),
inference(resolution,[],[f725,f409]) ).
fof(f2433,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] : bottom = removemin_pq_res(insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(X0,bottom),X1),X2),X3),X4),X5),X6),X7),bottom),
inference(resolution,[],[f725,f357]) ).
fof(f2432,plain,
! [X2,X3,X0,X1,X6,X4,X5] : bottom = removemin_pq_res(insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(X0,bottom),X1),X2),X3),X4),X5),X6),bottom),
inference(resolution,[],[f725,f348]) ).
fof(f2431,plain,
! [X2,X3,X0,X1,X4,X5] : bottom = removemin_pq_res(insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(X0,bottom),X1),X2),X3),X4),X5),bottom),
inference(resolution,[],[f725,f325]) ).
fof(f2430,plain,
! [X2,X3,X0,X1,X4,X5] :
( bottom = removemin_pq_res(insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(X0,X1),X2),X3),X4),X5),bottom)
| ~ contains_pq(X0,bottom) ),
inference(resolution,[],[f725,f193]) ).
fof(f725,plain,
! [X2,X3,X0,X1,X4] :
( ~ contains_pq(X0,bottom)
| bottom = removemin_pq_res(insert_pq(insert_pq(insert_pq(insert_pq(X0,X1),X2),X3),X4),bottom) ),
inference(resolution,[],[f524,f193]) ).
fof(f2428,plain,
! [X2,X3,X0,X1,X4] :
( less_than(sK3(X0),sK5(i(X1),X2))
| ~ pi_find_min(X0)
| less_than(X3,X4)
| issmallestelement_pq(i(X0),X4)
| issmallestelement_pq(i(X1),X2)
| less_than(sK3(X1),X3)
| ~ pi_find_min(X1) ),
inference(resolution,[],[f694,f556]) ).
fof(f2427,plain,
! [X2,X3,X0,X1,X4] :
( less_than(sK3(X0),sK5(i(X1),X2))
| ~ pi_find_min(X0)
| less_than(X3,X4)
| issmallestelement_pq(i(X0),X4)
| issmallestelement_pq(i(X1),X2)
| ~ pi_find_min(X1)
| ~ less_than(X3,sK3(X1)) ),
inference(resolution,[],[f694,f557]) ).
fof(f2426,plain,
! [X2,X3,X0,X1] :
( less_than(sK3(X0),sK5(i(X1),X2))
| ~ pi_find_min(X0)
| less_than(sK3(X1),X3)
| issmallestelement_pq(i(X0),X3)
| ~ pi_find_min(X1)
| issmallestelement_pq(i(X1),X2) ),
inference(resolution,[],[f694,f289]) ).
fof(f2425,plain,
! [X2,X3,X0,X1,X4] :
( less_than(sK3(X0),X1)
| ~ pi_find_min(X0)
| less_than(sK5(X2,sK3(X3)),X4)
| issmallestelement_pq(i(X0),X4)
| issmallestelement_pq(i(X3),X1)
| ~ pi_find_min(X3)
| issmallestelement_pq(X2,sK3(X3)) ),
inference(resolution,[],[f694,f682]) ).
fof(f2424,plain,
! [X2,X3,X0,X1,X4] :
( less_than(sK3(X0),X1)
| ~ pi_find_min(X0)
| less_than(sK5(X2,sK5(X3,X1)),X4)
| issmallestelement_pq(i(X0),X4)
| issmallestelement_pq(X3,X1)
| issmallestelement_pq(X2,sK5(X3,X1)) ),
inference(resolution,[],[f694,f385]) ).
fof(f2423,plain,
! [X2,X3,X0,X1,X4] :
( less_than(sK3(X0),X1)
| ~ pi_find_min(X0)
| less_than(sK5(X2,X3),X4)
| issmallestelement_pq(i(X0),X4)
| less_than(X1,X3)
| issmallestelement_pq(X2,X3) ),
inference(resolution,[],[f694,f266]) ).
fof(f2422,plain,
! [X2,X3,X0,X1,X4,X5] :
( less_than(sK3(X0),X1)
| ~ pi_find_min(X0)
| less_than(sK5(X2,X3),X4)
| issmallestelement_pq(i(X0),X4)
| less_than(X1,X5)
| less_than(X5,X3)
| issmallestelement_pq(X2,X3) ),
inference(resolution,[],[f694,f380]) ).
fof(f2421,plain,
! [X2,X3,X0,X1,X4,X5] :
( less_than(sK3(X0),X1)
| ~ pi_find_min(X0)
| less_than(sK5(X2,X3),X4)
| issmallestelement_pq(i(X0),X4)
| less_than(sK5(X5,X1),X3)
| issmallestelement_pq(X2,X3)
| issmallestelement_pq(X5,X1) ),
inference(resolution,[],[f694,f387]) ).
fof(f2420,plain,
! [X2,X3,X0,X1,X4,X5] :
( less_than(sK3(X0),X1)
| ~ pi_find_min(X0)
| less_than(sK5(X2,X3),X4)
| issmallestelement_pq(i(X0),X4)
| less_than(sK5(X5,X1),X3)
| issmallestelement_pq(X5,X1)
| issmallestelement_pq(X2,X3) ),
inference(resolution,[],[f694,f387]) ).
fof(f2419,plain,
! [X2,X3,X0,X1,X4] :
( less_than(sK3(X0),X1)
| ~ pi_find_min(X0)
| less_than(sK3(X2),X3)
| issmallestelement_pq(i(X0),X3)
| issmallestelement_pq(i(X2),X4)
| less_than(X1,X4)
| ~ pi_find_min(X2) ),
inference(resolution,[],[f694,f674]) ).
fof(f2418,plain,
! [X2,X3,X0,X1,X4,X5] :
( less_than(sK3(X0),X1)
| ~ pi_find_min(X0)
| less_than(sK3(X2),X3)
| issmallestelement_pq(i(X0),X3)
| issmallestelement_pq(i(X2),X4)
| less_than(X1,X5)
| less_than(X5,X4)
| ~ pi_find_min(X2) ),
inference(resolution,[],[f694,f686]) ).
fof(f2417,plain,
! [X2,X3,X0,X1] :
( less_than(sK3(X0),X1)
| ~ pi_find_min(X0)
| less_than(sK5(X2,X1),X3)
| issmallestelement_pq(i(X0),X3)
| issmallestelement_pq(X2,X1) ),
inference(resolution,[],[f694,f234]) ).
fof(f2416,plain,
! [X2,X3,X0,X1,X4,X5] :
( less_than(sK3(X0),X1)
| ~ pi_find_min(X0)
| less_than(X2,X3)
| issmallestelement_pq(i(X0),X3)
| issmallestelement_pq(i(X4),X1)
| less_than(sK3(X4),X5)
| less_than(X5,X2)
| ~ pi_find_min(X4) ),
inference(resolution,[],[f694,f686]) ).
fof(f2415,plain,
! [X2,X3,X0,X1,X4,X5] :
( less_than(sK3(X0),X1)
| ~ pi_find_min(X0)
| less_than(X2,X3)
| issmallestelement_pq(i(X0),X3)
| issmallestelement_pq(i(X4),X5)
| less_than(sK3(X4),X2)
| less_than(X1,X5)
| ~ pi_find_min(X4) ),
inference(resolution,[],[f694,f686]) ).
fof(f2414,plain,
! [X2,X3,X0,X1,X4] :
( less_than(sK3(X0),X1)
| ~ pi_find_min(X0)
| less_than(X2,X3)
| issmallestelement_pq(i(X0),X3)
| issmallestelement_pq(i(X4),X1)
| less_than(sK3(X4),X2)
| ~ pi_find_min(X4) ),
inference(resolution,[],[f694,f674]) ).
fof(f2413,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( less_than(sK3(X0),X1)
| ~ pi_find_min(X0)
| less_than(X2,X3)
| issmallestelement_pq(i(X0),X3)
| less_than(X1,X4)
| less_than(X4,X5)
| less_than(X5,X6)
| less_than(X6,X2) ),
inference(resolution,[],[f694,f476]) ).
fof(f2412,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( less_than(sK3(X0),X1)
| ~ pi_find_min(X0)
| less_than(X2,X3)
| issmallestelement_pq(i(X0),X3)
| less_than(X4,X5)
| less_than(X5,X6)
| less_than(X6,X2)
| less_than(X1,X4) ),
inference(resolution,[],[f694,f476]) ).
fof(f2411,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( less_than(sK3(X0),X1)
| ~ pi_find_min(X0)
| less_than(X2,X3)
| issmallestelement_pq(i(X0),X3)
| less_than(X4,X5)
| less_than(X5,X2)
| less_than(X1,X6)
| less_than(X6,X4) ),
inference(resolution,[],[f694,f476]) ).
fof(f2410,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( less_than(sK3(X0),X1)
| ~ pi_find_min(X0)
| less_than(X2,X3)
| issmallestelement_pq(i(X0),X3)
| less_than(X4,X2)
| less_than(X1,X5)
| less_than(X5,X6)
| less_than(X6,X4) ),
inference(resolution,[],[f694,f476]) ).
fof(f2409,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( less_than(sK3(X0),X1)
| ~ pi_find_min(X0)
| less_than(X2,X3)
| issmallestelement_pq(i(X0),X3)
| less_than(X1,X4)
| less_than(X4,X5)
| less_than(X5,X6)
| less_than(X6,X2) ),
inference(resolution,[],[f694,f476]) ).
fof(f2408,plain,
! [X2,X3,X0,X1,X4,X5] :
( less_than(sK3(X0),X1)
| ~ pi_find_min(X0)
| less_than(X2,X3)
| issmallestelement_pq(i(X0),X3)
| less_than(sK5(X4,X5),X2)
| less_than(X1,X5)
| issmallestelement_pq(X4,X5) ),
inference(resolution,[],[f694,f380]) ).
fof(f2407,plain,
! [X2,X3,X0,X1,X4,X5] :
( less_than(sK3(X0),X1)
| ~ pi_find_min(X0)
| less_than(X2,X3)
| issmallestelement_pq(i(X0),X3)
| less_than(sK5(X4,X1),X5)
| less_than(X5,X2)
| issmallestelement_pq(X4,X1) ),
inference(resolution,[],[f694,f380]) ).
fof(f2406,plain,
! [X2,X3,X0,X1,X4,X5] :
( less_than(sK3(X0),X1)
| ~ pi_find_min(X0)
| less_than(X2,X3)
| issmallestelement_pq(i(X0),X3)
| less_than(X1,X4)
| less_than(X4,X5)
| less_than(X5,X2) ),
inference(resolution,[],[f694,f268]) ).
fof(f2405,plain,
! [X2,X3,X0,X1,X4,X5] :
( less_than(sK3(X0),X1)
| ~ pi_find_min(X0)
| less_than(X2,X3)
| issmallestelement_pq(i(X0),X3)
| less_than(X4,X5)
| less_than(X5,X2)
| less_than(X1,X4) ),
inference(resolution,[],[f694,f268]) ).
fof(f2404,plain,
! [X2,X3,X0,X1,X4,X5] :
( less_than(sK3(X0),X1)
| ~ pi_find_min(X0)
| less_than(X2,X3)
| issmallestelement_pq(i(X0),X3)
| less_than(X4,X2)
| less_than(X1,X5)
| less_than(X5,X4) ),
inference(resolution,[],[f694,f268]) ).
fof(f2403,plain,
! [X2,X3,X0,X1,X4,X5] :
( less_than(sK3(X0),X1)
| ~ pi_find_min(X0)
| less_than(X2,X3)
| issmallestelement_pq(i(X0),X3)
| less_than(X1,X4)
| less_than(X4,X5)
| less_than(X5,X2) ),
inference(resolution,[],[f694,f268]) ).
fof(f2402,plain,
! [X2,X3,X0,X1,X4] :
( less_than(sK3(X0),X1)
| ~ pi_find_min(X0)
| less_than(X2,X3)
| issmallestelement_pq(i(X0),X3)
| less_than(X1,X4)
| less_than(X4,X2) ),
inference(resolution,[],[f694,f264]) ).
fof(f2401,plain,
! [X2,X3,X0,X1,X4] :
( less_than(sK3(X0),X1)
| ~ pi_find_min(X0)
| less_than(X2,X3)
| issmallestelement_pq(i(X0),X3)
| less_than(X4,X2)
| less_than(X1,X4) ),
inference(resolution,[],[f694,f264]) ).
fof(f2400,plain,
! [X2,X3,X0,X1,X4] :
( less_than(sK3(X0),X1)
| ~ pi_find_min(X0)
| less_than(X2,X3)
| issmallestelement_pq(i(X0),X3)
| less_than(X1,X4)
| less_than(X4,X2) ),
inference(resolution,[],[f694,f264]) ).
fof(f694,plain,
! [X2,X3,X0,X1] :
( ~ less_than(X3,X2)
| less_than(sK3(X0),X2)
| ~ pi_find_min(X0)
| less_than(X3,X1)
| issmallestelement_pq(i(X0),X1) ),
inference(resolution,[],[f674,f191]) ).
fof(f2395,plain,
! [X2,X3,X0,X1,X4] :
( less_than(X0,X1)
| ~ pi_find_min(X2)
| less_than(sK5(X3,sK3(X4)),X0)
| issmallestelement_pq(i(X2),X1)
| issmallestelement_pq(i(X4),sK3(X2))
| ~ pi_find_min(X4)
| issmallestelement_pq(X3,sK3(X4)) ),
inference(resolution,[],[f687,f682]) ).
fof(f2394,plain,
! [X2,X3,X0,X1,X4] :
( less_than(X0,X1)
| ~ pi_find_min(X2)
| less_than(sK5(X3,sK5(X4,sK3(X2))),X0)
| issmallestelement_pq(i(X2),X1)
| issmallestelement_pq(X4,sK3(X2))
| issmallestelement_pq(X3,sK5(X4,sK3(X2))) ),
inference(resolution,[],[f687,f385]) ).
fof(f2393,plain,
! [X2,X3,X0,X1,X4] :
( less_than(X0,X1)
| ~ pi_find_min(X2)
| less_than(sK5(X3,X4),X0)
| issmallestelement_pq(i(X2),X1)
| less_than(sK3(X2),X4)
| issmallestelement_pq(X3,X4) ),
inference(resolution,[],[f687,f266]) ).
fof(f2392,plain,
! [X2,X3,X0,X1,X4,X5] :
( less_than(X0,X1)
| ~ pi_find_min(X2)
| less_than(sK5(X3,X4),X0)
| issmallestelement_pq(i(X2),X1)
| less_than(sK3(X2),X5)
| less_than(X5,X4)
| issmallestelement_pq(X3,X4) ),
inference(resolution,[],[f687,f380]) ).
fof(f2391,plain,
! [X2,X3,X0,X1,X4,X5] :
( less_than(X0,X1)
| ~ pi_find_min(X2)
| less_than(sK5(X3,X4),X0)
| issmallestelement_pq(i(X2),X1)
| less_than(sK5(X5,sK3(X2)),X4)
| issmallestelement_pq(X3,X4)
| issmallestelement_pq(X5,sK3(X2)) ),
inference(resolution,[],[f687,f387]) ).
fof(f2390,plain,
! [X2,X3,X0,X1,X4,X5] :
( less_than(X0,X1)
| ~ pi_find_min(X2)
| less_than(sK5(X3,X4),X0)
| issmallestelement_pq(i(X2),X1)
| less_than(sK5(X5,sK3(X2)),X4)
| issmallestelement_pq(X5,sK3(X2))
| issmallestelement_pq(X3,X4) ),
inference(resolution,[],[f687,f387]) ).
fof(f2389,plain,
! [X2,X3,X0,X1,X4] :
( less_than(X0,X1)
| ~ pi_find_min(X2)
| less_than(sK3(X3),X0)
| issmallestelement_pq(i(X2),X1)
| issmallestelement_pq(i(X3),X4)
| less_than(sK3(X2),X4)
| ~ pi_find_min(X3) ),
inference(resolution,[],[f687,f674]) ).
fof(f2388,plain,
! [X2,X3,X0,X1,X4,X5] :
( less_than(X0,X1)
| ~ pi_find_min(X2)
| less_than(sK3(X3),X0)
| issmallestelement_pq(i(X2),X1)
| issmallestelement_pq(i(X3),X4)
| less_than(sK3(X2),X5)
| less_than(X5,X4)
| ~ pi_find_min(X3) ),
inference(resolution,[],[f687,f686]) ).
fof(f2387,plain,
! [X2,X3,X0,X1] :
( less_than(X0,X1)
| ~ pi_find_min(X2)
| less_than(sK5(X3,sK3(X2)),X0)
| issmallestelement_pq(i(X2),X1)
| issmallestelement_pq(X3,sK3(X2)) ),
inference(resolution,[],[f687,f234]) ).
fof(f2386,plain,
! [X2,X3,X0,X1,X4,X5] :
( less_than(X0,X1)
| ~ pi_find_min(X2)
| less_than(X3,X0)
| issmallestelement_pq(i(X2),X1)
| issmallestelement_pq(i(X4),sK3(X2))
| less_than(sK3(X4),X5)
| less_than(X5,X3)
| ~ pi_find_min(X4) ),
inference(resolution,[],[f687,f686]) ).
fof(f2385,plain,
! [X2,X3,X0,X1,X4,X5] :
( less_than(X0,X1)
| ~ pi_find_min(X2)
| less_than(X3,X0)
| issmallestelement_pq(i(X2),X1)
| issmallestelement_pq(i(X4),X5)
| less_than(sK3(X4),X3)
| less_than(sK3(X2),X5)
| ~ pi_find_min(X4) ),
inference(resolution,[],[f687,f686]) ).
fof(f2384,plain,
! [X2,X3,X0,X1,X4] :
( less_than(X0,X1)
| ~ pi_find_min(X2)
| less_than(X3,X0)
| issmallestelement_pq(i(X2),X1)
| issmallestelement_pq(i(X4),sK3(X2))
| less_than(sK3(X4),X3)
| ~ pi_find_min(X4) ),
inference(resolution,[],[f687,f674]) ).
fof(f2383,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( less_than(X0,X1)
| ~ pi_find_min(X2)
| less_than(X3,X0)
| issmallestelement_pq(i(X2),X1)
| less_than(sK3(X2),X4)
| less_than(X4,X5)
| less_than(X5,X6)
| less_than(X6,X3) ),
inference(resolution,[],[f687,f476]) ).
fof(f2382,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( less_than(X0,X1)
| ~ pi_find_min(X2)
| less_than(X3,X0)
| issmallestelement_pq(i(X2),X1)
| less_than(X4,X5)
| less_than(X5,X6)
| less_than(X6,X3)
| less_than(sK3(X2),X4) ),
inference(resolution,[],[f687,f476]) ).
fof(f2381,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( less_than(X0,X1)
| ~ pi_find_min(X2)
| less_than(X3,X0)
| issmallestelement_pq(i(X2),X1)
| less_than(X4,X5)
| less_than(X5,X3)
| less_than(sK3(X2),X6)
| less_than(X6,X4) ),
inference(resolution,[],[f687,f476]) ).
fof(f2380,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( less_than(X0,X1)
| ~ pi_find_min(X2)
| less_than(X3,X0)
| issmallestelement_pq(i(X2),X1)
| less_than(X4,X3)
| less_than(sK3(X2),X5)
| less_than(X5,X6)
| less_than(X6,X4) ),
inference(resolution,[],[f687,f476]) ).
fof(f2379,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( less_than(X0,X1)
| ~ pi_find_min(X2)
| less_than(X3,X0)
| issmallestelement_pq(i(X2),X1)
| less_than(sK3(X2),X4)
| less_than(X4,X5)
| less_than(X5,X6)
| less_than(X6,X3) ),
inference(resolution,[],[f687,f476]) ).
fof(f2378,plain,
! [X2,X3,X0,X1,X4,X5] :
( less_than(X0,X1)
| ~ pi_find_min(X2)
| less_than(X3,X0)
| issmallestelement_pq(i(X2),X1)
| less_than(sK5(X4,X5),X3)
| less_than(sK3(X2),X5)
| issmallestelement_pq(X4,X5) ),
inference(resolution,[],[f687,f380]) ).
fof(f2377,plain,
! [X2,X3,X0,X1,X4,X5] :
( less_than(X0,X1)
| ~ pi_find_min(X2)
| less_than(X3,X0)
| issmallestelement_pq(i(X2),X1)
| less_than(sK5(X4,sK3(X2)),X5)
| less_than(X5,X3)
| issmallestelement_pq(X4,sK3(X2)) ),
inference(resolution,[],[f687,f380]) ).
fof(f2376,plain,
! [X2,X3,X0,X1,X4,X5] :
( less_than(X0,X1)
| ~ pi_find_min(X2)
| less_than(X3,X0)
| issmallestelement_pq(i(X2),X1)
| less_than(sK3(X2),X4)
| less_than(X4,X5)
| less_than(X5,X3) ),
inference(resolution,[],[f687,f268]) ).
fof(f2375,plain,
! [X2,X3,X0,X1,X4,X5] :
( less_than(X0,X1)
| ~ pi_find_min(X2)
| less_than(X3,X0)
| issmallestelement_pq(i(X2),X1)
| less_than(X4,X5)
| less_than(X5,X3)
| less_than(sK3(X2),X4) ),
inference(resolution,[],[f687,f268]) ).
fof(f2374,plain,
! [X2,X3,X0,X1,X4,X5] :
( less_than(X0,X1)
| ~ pi_find_min(X2)
| less_than(X3,X0)
| issmallestelement_pq(i(X2),X1)
| less_than(X4,X3)
| less_than(sK3(X2),X5)
| less_than(X5,X4) ),
inference(resolution,[],[f687,f268]) ).
fof(f2373,plain,
! [X2,X3,X0,X1,X4,X5] :
( less_than(X0,X1)
| ~ pi_find_min(X2)
| less_than(X3,X0)
| issmallestelement_pq(i(X2),X1)
| less_than(sK3(X2),X4)
| less_than(X4,X5)
| less_than(X5,X3) ),
inference(resolution,[],[f687,f268]) ).
fof(f2372,plain,
! [X2,X3,X0,X1,X4] :
( less_than(X0,X1)
| ~ pi_find_min(X2)
| less_than(X3,X0)
| issmallestelement_pq(i(X2),X1)
| less_than(sK3(X2),X4)
| less_than(X4,X3) ),
inference(resolution,[],[f687,f264]) ).
fof(f2371,plain,
! [X2,X3,X0,X1,X4] :
( less_than(X0,X1)
| ~ pi_find_min(X2)
| less_than(X3,X0)
| issmallestelement_pq(i(X2),X1)
| less_than(X4,X3)
| less_than(sK3(X2),X4) ),
inference(resolution,[],[f687,f264]) ).
fof(f2370,plain,
! [X2,X3,X0,X1,X4] :
( less_than(X0,X1)
| ~ pi_find_min(X2)
| less_than(X3,X0)
| issmallestelement_pq(i(X2),X1)
| less_than(sK3(X2),X4)
| less_than(X4,X3) ),
inference(resolution,[],[f687,f264]) ).
fof(f687,plain,
! [X2,X3,X0,X1] :
( ~ less_than(X3,sK3(X0))
| less_than(X2,X1)
| ~ pi_find_min(X0)
| less_than(X3,X2)
| issmallestelement_pq(i(X0),X1) ),
inference(resolution,[],[f674,f191]) ).
fof(f2365,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( issmallestelement_pq(insert_pq(i(triple(X0,X1,X4)),X2),X5)
| less_than(sK3(triple(X0,insert_slb(X1,pair(X2,X3)),X4)),X6)
| less_than(X6,X7)
| less_than(X7,X5)
| ~ pi_find_min(triple(X0,insert_slb(X1,pair(X2,X3)),X4)) ),
inference(superposition,[],[f686,f212]) ).
fof(f2360,plain,
! [X2,X3,X0,X1,X4] :
( issmallestelement_pq(i(X0),findmin_pqp_res(X1))
| less_than(sK3(X0),X2)
| less_than(X2,lookup_slb(X3,findmin_pqp_res(X1)))
| ~ pi_find_min(X0)
| findmin_cpq_eff(triple(X1,X3,X4)) = triple(X1,update_slb(X3,findmin_pqp_res(X1)),X4)
| ~ contains_slb(X3,findmin_pqp_res(X1))
| create_slb = X3 ),
inference(resolution,[],[f686,f204]) ).
fof(f2359,plain,
! [X2,X3,X0,X1,X4,X5] :
( issmallestelement_pq(i(X0),X1)
| less_than(sK3(X0),X2)
| less_than(X2,lookup_slb(X3,X1))
| ~ pi_find_min(X0)
| remove_cpq(triple(X4,X3,X5),X1) = triple(remove_pqp(X4,X1),remove_slb(X3,X1),X5)
| ~ contains_slb(X3,X1) ),
inference(resolution,[],[f686,f206]) ).
fof(f2358,plain,
! [X2,X3,X0,X1,X4] :
( issmallestelement_pq(i(X0),sK5(X1,X2))
| less_than(sK3(X0),X3)
| less_than(X3,X4)
| ~ pi_find_min(X0)
| less_than(X4,X2)
| issmallestelement_pq(X1,X2) ),
inference(resolution,[],[f686,f255]) ).
fof(f2357,plain,
! [X2,X3,X0,X1,X4,X5] :
( issmallestelement_pq(i(X0),sK5(X1,X2))
| less_than(sK3(X0),X3)
| less_than(X3,X4)
| ~ pi_find_min(X0)
| issmallestelement_pq(X1,X2)
| less_than(X4,X5)
| less_than(X5,X2) ),
inference(resolution,[],[f686,f389]) ).
fof(f2356,plain,
! [X2,X3,X0,X1] :
( issmallestelement_pq(i(X0),sK5(X1,X2))
| less_than(sK3(X0),X3)
| less_than(X3,X2)
| ~ pi_find_min(X0)
| issmallestelement_pq(X1,X2) ),
inference(resolution,[],[f686,f178]) ).
fof(f2355,plain,
! [X2,X3,X0,X1,X4] :
( issmallestelement_pq(i(X0),sK3(X1))
| less_than(sK3(X0),X2)
| less_than(X2,X3)
| ~ pi_find_min(X0)
| ~ pi_find_min(X1)
| issmallestelement_pq(i(X1),X4)
| less_than(X3,X4) ),
inference(resolution,[],[f686,f2204]) ).
fof(f2353,plain,
! [X2,X3,X0,X1,X4] :
( issmallestelement_pq(i(X0),X1)
| less_than(sK3(X0),X2)
| less_than(X2,X3)
| ~ pi_find_min(X0)
| less_than(X4,X1)
| ~ less_than(X4,X3) ),
inference(resolution,[],[f686,f191]) ).
fof(f2352,plain,
! [X2,X3,X0,X1,X4] :
( issmallestelement_pq(i(X0),X1)
| less_than(sK3(X0),X2)
| less_than(X2,X3)
| ~ pi_find_min(X0)
| less_than(X3,X4)
| less_than(X4,X1) ),
inference(resolution,[],[f686,f253]) ).
fof(f2351,plain,
! [X2,X3,X0,X1,X4,X5] :
( issmallestelement_pq(i(X0),X1)
| less_than(sK3(X0),X2)
| less_than(X2,X3)
| ~ pi_find_min(X0)
| less_than(X4,X1)
| less_than(X3,X5)
| less_than(X5,X4) ),
inference(resolution,[],[f686,f269]) ).
fof(f2350,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( issmallestelement_pq(i(X0),X1)
| less_than(sK3(X0),X2)
| less_than(X2,X3)
| ~ pi_find_min(X0)
| less_than(X4,X5)
| less_than(X5,X1)
| less_than(X3,X6)
| less_than(X6,X4) ),
inference(resolution,[],[f686,f477]) ).
fof(f2349,plain,
! [X2,X3,X0,X1,X4,X5] :
( issmallestelement_pq(i(X0),X1)
| less_than(sK3(X0),X2)
| less_than(X2,X3)
| ~ pi_find_min(X0)
| update_slb(insert_slb(X4,pair(X5,X1)),X3) = insert_slb(update_slb(X4,X3),pair(X5,X1)) ),
inference(resolution,[],[f686,f199]) ).
fof(f2348,plain,
! [X2,X3,X0,X1,X4] :
( issmallestelement_pq(i(X0),X1)
| less_than(sK3(X0),lookup_slb(X2,findmin_pqp_res(X3)))
| less_than(findmin_pqp_res(X3),X1)
| ~ pi_find_min(X0)
| findmin_cpq_eff(triple(X3,X2,X4)) = triple(X3,update_slb(X2,findmin_pqp_res(X3)),X4)
| ~ contains_slb(X2,findmin_pqp_res(X3))
| create_slb = X2 ),
inference(resolution,[],[f686,f204]) ).
fof(f2347,plain,
! [X2,X3,X0,X1,X4,X5] :
( issmallestelement_pq(i(X0),X1)
| less_than(sK3(X0),lookup_slb(X2,X3))
| less_than(X3,X1)
| ~ pi_find_min(X0)
| remove_cpq(triple(X4,X2,X5),X3) = triple(remove_pqp(X4,X3),remove_slb(X2,X3),X5)
| ~ contains_slb(X2,X3) ),
inference(resolution,[],[f686,f206]) ).
fof(f2346,plain,
! [X2,X3,X0,X1,X4] :
( issmallestelement_pq(i(X0),X1)
| less_than(sK3(X0),X2)
| less_than(sK5(X3,X4),X1)
| ~ pi_find_min(X0)
| less_than(X2,X4)
| issmallestelement_pq(X3,X4) ),
inference(resolution,[],[f686,f255]) ).
fof(f2345,plain,
! [X2,X3,X0,X1,X4,X5] :
( issmallestelement_pq(i(X0),X1)
| less_than(sK3(X0),X2)
| less_than(sK5(X3,X4),X1)
| ~ pi_find_min(X0)
| issmallestelement_pq(X3,X4)
| less_than(X2,X5)
| less_than(X5,X4) ),
inference(resolution,[],[f686,f389]) ).
fof(f2344,plain,
! [X2,X3,X0,X1] :
( issmallestelement_pq(i(X0),X1)
| less_than(sK3(X0),X2)
| less_than(sK5(X3,X2),X1)
| ~ pi_find_min(X0)
| issmallestelement_pq(X3,X2) ),
inference(resolution,[],[f686,f178]) ).
fof(f2343,plain,
! [X2,X3,X0,X1,X4] :
( issmallestelement_pq(i(X0),X1)
| less_than(sK3(X0),X2)
| less_than(sK3(X3),X1)
| ~ pi_find_min(X0)
| ~ pi_find_min(X3)
| issmallestelement_pq(i(X3),X4)
| less_than(X2,X4) ),
inference(resolution,[],[f686,f2204]) ).
fof(f2341,plain,
! [X2,X3,X0,X1,X4] :
( issmallestelement_pq(i(X0),X1)
| less_than(sK3(X0),X2)
| less_than(X3,X1)
| ~ pi_find_min(X0)
| less_than(X4,X3)
| ~ less_than(X4,X2) ),
inference(resolution,[],[f686,f191]) ).
fof(f2340,plain,
! [X2,X3,X0,X1,X4] :
( issmallestelement_pq(i(X0),X1)
| less_than(sK3(X0),X2)
| less_than(X3,X1)
| ~ pi_find_min(X0)
| less_than(X2,X4)
| less_than(X4,X3) ),
inference(resolution,[],[f686,f253]) ).
fof(f2339,plain,
! [X2,X3,X0,X1,X4,X5] :
( issmallestelement_pq(i(X0),X1)
| less_than(sK3(X0),X2)
| less_than(X3,X1)
| ~ pi_find_min(X0)
| less_than(X4,X3)
| less_than(X2,X5)
| less_than(X5,X4) ),
inference(resolution,[],[f686,f269]) ).
fof(f2338,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( issmallestelement_pq(i(X0),X1)
| less_than(sK3(X0),X2)
| less_than(X3,X1)
| ~ pi_find_min(X0)
| less_than(X4,X5)
| less_than(X5,X3)
| less_than(X2,X6)
| less_than(X6,X4) ),
inference(resolution,[],[f686,f477]) ).
fof(f2337,plain,
! [X2,X3,X0,X1,X4,X5] :
( issmallestelement_pq(i(X0),X1)
| less_than(sK3(X0),X2)
| less_than(X3,X1)
| ~ pi_find_min(X0)
| update_slb(insert_slb(X4,pair(X5,X3)),X2) = insert_slb(update_slb(X4,X2),pair(X5,X3)) ),
inference(resolution,[],[f686,f199]) ).
fof(f2336,plain,
! [X2,X3,X0,X1,X4] :
( issmallestelement_pq(i(X0),X1)
| less_than(sK5(X2,X3),X4)
| less_than(X4,X1)
| ~ pi_find_min(X0)
| less_than(sK3(X0),X3)
| issmallestelement_pq(X2,X3) ),
inference(resolution,[],[f686,f255]) ).
fof(f2335,plain,
! [X2,X3,X0,X1,X4,X5] :
( issmallestelement_pq(i(X0),X1)
| less_than(sK5(X2,X3),X4)
| less_than(X4,X1)
| ~ pi_find_min(X0)
| issmallestelement_pq(X2,X3)
| less_than(sK3(X0),X5)
| less_than(X5,X3) ),
inference(resolution,[],[f686,f389]) ).
fof(f2334,plain,
! [X2,X3,X0,X1] :
( issmallestelement_pq(i(X0),X1)
| less_than(sK5(X2,sK3(X0)),X3)
| less_than(X3,X1)
| ~ pi_find_min(X0)
| issmallestelement_pq(X2,sK3(X0)) ),
inference(resolution,[],[f686,f178]) ).
fof(f2333,plain,
! [X2,X3,X0,X1,X4] :
( issmallestelement_pq(i(X0),X1)
| less_than(sK3(X2),X3)
| less_than(X3,X1)
| ~ pi_find_min(X0)
| ~ pi_find_min(X2)
| issmallestelement_pq(i(X2),X4)
| less_than(sK3(X0),X4) ),
inference(resolution,[],[f686,f2204]) ).
fof(f2331,plain,
! [X2,X3,X0,X1,X4] :
( issmallestelement_pq(i(X0),X1)
| less_than(X2,X3)
| less_than(X3,X1)
| ~ pi_find_min(X0)
| less_than(X4,X2)
| ~ less_than(X4,sK3(X0)) ),
inference(resolution,[],[f686,f191]) ).
fof(f2330,plain,
! [X2,X3,X0,X1,X4] :
( issmallestelement_pq(i(X0),X1)
| less_than(X2,X3)
| less_than(X3,X1)
| ~ pi_find_min(X0)
| less_than(sK3(X0),X4)
| less_than(X4,X2) ),
inference(resolution,[],[f686,f253]) ).
fof(f2329,plain,
! [X2,X3,X0,X1,X4,X5] :
( issmallestelement_pq(i(X0),X1)
| less_than(X2,X3)
| less_than(X3,X1)
| ~ pi_find_min(X0)
| less_than(X4,X2)
| less_than(sK3(X0),X5)
| less_than(X5,X4) ),
inference(resolution,[],[f686,f269]) ).
fof(f2328,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( issmallestelement_pq(i(X0),X1)
| less_than(X2,X3)
| less_than(X3,X1)
| ~ pi_find_min(X0)
| less_than(X4,X5)
| less_than(X5,X2)
| less_than(sK3(X0),X6)
| less_than(X6,X4) ),
inference(resolution,[],[f686,f477]) ).
fof(f2327,plain,
! [X2,X3,X0,X1,X4,X5] :
( issmallestelement_pq(i(X0),X1)
| less_than(X2,X3)
| less_than(X3,X1)
| ~ pi_find_min(X0)
| update_slb(insert_slb(X4,pair(X5,X2)),sK3(X0)) = insert_slb(update_slb(X4,sK3(X0)),pair(X5,X2)) ),
inference(resolution,[],[f686,f199]) ).
fof(f2326,plain,
! [X2,X3,X0,X1,X4] :
( less_than(sK3(X0),X1)
| less_than(X1,X2)
| less_than(X2,X3)
| ~ pi_find_min(X0)
| ~ contains_pq(i(X0),X4)
| less_than(X3,X4) ),
inference(resolution,[],[f686,f176]) ).
fof(f686,plain,
! [X2,X3,X0,X1] :
( issmallestelement_pq(i(X0),X1)
| less_than(sK3(X0),X3)
| less_than(X3,X2)
| less_than(X2,X1)
| ~ pi_find_min(X0) ),
inference(resolution,[],[f674,f253]) ).
fof(f2321,plain,
! [X2,X3,X0,X1] :
( issmallestelement_pq(i(X0),sK5(X1,X2))
| ~ pi_find_min(X0)
| issmallestelement_pq(X3,sK3(X0))
| less_than(sK5(X3,sK3(X0)),X2)
| issmallestelement_pq(X1,X2) ),
inference(resolution,[],[f682,f255]) ).
fof(f2320,plain,
! [X2,X3,X0,X1,X4] :
( issmallestelement_pq(i(X0),sK5(X1,X2))
| ~ pi_find_min(X0)
| issmallestelement_pq(X3,sK3(X0))
| issmallestelement_pq(X1,X2)
| less_than(sK5(X3,sK3(X0)),X4)
| less_than(X4,X2) ),
inference(resolution,[],[f682,f389]) ).
fof(f2319,plain,
! [X2,X0,X1] :
( issmallestelement_pq(i(X0),sK5(X1,sK5(X2,sK3(X0))))
| ~ pi_find_min(X0)
| issmallestelement_pq(X2,sK3(X0))
| issmallestelement_pq(X1,sK5(X2,sK3(X0))) ),
inference(resolution,[],[f682,f178]) ).
fof(f2318,plain,
! [X2,X3,X0,X1] :
( issmallestelement_pq(i(X0),sK3(X1))
| ~ pi_find_min(X0)
| issmallestelement_pq(X2,sK3(X0))
| ~ pi_find_min(X1)
| issmallestelement_pq(i(X1),X3)
| less_than(sK5(X2,sK3(X0)),X3) ),
inference(resolution,[],[f682,f2204]) ).
fof(f2316,plain,
! [X2,X3,X0,X1] :
( issmallestelement_pq(i(X0),X1)
| ~ pi_find_min(X0)
| issmallestelement_pq(X2,sK3(X0))
| less_than(X3,X1)
| ~ less_than(X3,sK5(X2,sK3(X0))) ),
inference(resolution,[],[f682,f191]) ).
fof(f2315,plain,
! [X2,X3,X0,X1] :
( issmallestelement_pq(i(X0),X1)
| ~ pi_find_min(X0)
| issmallestelement_pq(X2,sK3(X0))
| less_than(sK5(X2,sK3(X0)),X3)
| less_than(X3,X1) ),
inference(resolution,[],[f682,f253]) ).
fof(f2314,plain,
! [X2,X3,X0,X1,X4] :
( issmallestelement_pq(i(X0),X1)
| ~ pi_find_min(X0)
| issmallestelement_pq(X2,sK3(X0))
| less_than(X3,X1)
| less_than(sK5(X2,sK3(X0)),X4)
| less_than(X4,X3) ),
inference(resolution,[],[f682,f269]) ).
fof(f2313,plain,
! [X2,X3,X0,X1,X4,X5] :
( issmallestelement_pq(i(X0),X1)
| ~ pi_find_min(X0)
| issmallestelement_pq(X2,sK3(X0))
| less_than(X3,X4)
| less_than(X4,X1)
| less_than(sK5(X2,sK3(X0)),X5)
| less_than(X5,X3) ),
inference(resolution,[],[f682,f477]) ).
fof(f2312,plain,
! [X2,X3,X0,X1,X4] :
( issmallestelement_pq(i(X0),X1)
| ~ pi_find_min(X0)
| issmallestelement_pq(X2,sK3(X0))
| update_slb(insert_slb(X3,pair(X4,X1)),sK5(X2,sK3(X0))) = insert_slb(update_slb(X3,sK5(X2,sK3(X0))),pair(X4,X1)) ),
inference(resolution,[],[f682,f199]) ).
fof(f682,plain,
! [X2,X0,X1] :
( less_than(sK5(X2,sK3(X0)),X1)
| issmallestelement_pq(i(X0),X1)
| ~ pi_find_min(X0)
| issmallestelement_pq(X2,sK3(X0)) ),
inference(resolution,[],[f674,f178]) ).
fof(f2305,plain,
! [X2,X0,X1] :
( contains_pq(i(triple(X0,X1,X2)),findmin_pqp_res(X0))
| ~ phi(findmin_cpq_eff(triple(X0,X1,X2)))
| create_slb = X1 ),
inference(superposition,[],[f739,f196]) ).
fof(f2308,plain,
! [X2,X3,X0,X1] :
( ~ phi(findmin_cpq_eff(insert_cpq(triple(X0,X2,X3),X1)))
| contains_pq(i(insert_cpq(triple(X0,X2,X3),X1)),findmin_cpq_res(insert_cpq(triple(X0,X2,X3),X1))) ),
inference(forward_demodulation,[],[f2303,f195]) ).
fof(f2303,plain,
! [X2,X3,X0,X1] :
( contains_pq(i(insert_cpq(triple(X0,X2,X3),X1)),findmin_cpq_res(insert_cpq(triple(X0,X2,X3),X1)))
| ~ phi(findmin_cpq_eff(triple(insert_pqp(X0,X1),insert_slb(X2,pair(X1,bottom)),X3))) ),
inference(superposition,[],[f739,f195]) ).
fof(f2302,plain,
! [X2,X3,X0,X1,X4] :
( contains_pq(insert_pq(i(triple(X0,X1,X4)),X2),findmin_cpq_res(triple(X0,insert_slb(X1,pair(X2,X3)),X4)))
| ~ phi(findmin_cpq_eff(triple(X0,insert_slb(X1,pair(X2,X3)),X4))) ),
inference(superposition,[],[f739,f212]) ).
fof(f2300,plain,
! [X2,X3,X0,X1] :
( ~ phi(findmin_cpq_eff(triple(X0,X1,X2)))
| findmin_cpq_res(triple(X0,X1,X2)) = X3
| remove_pq(insert_pq(i(triple(X0,X1,X2)),X3),findmin_cpq_res(triple(X0,X1,X2))) = insert_pq(remove_pq(i(triple(X0,X1,X2)),findmin_cpq_res(triple(X0,X1,X2))),X3) ),
inference(resolution,[],[f739,f190]) ).
fof(f2299,plain,
! [X2,X0,X1] :
( ~ phi(findmin_cpq_eff(triple(X0,X1,X2)))
| less_than(sK3(triple(X0,X1,X2)),findmin_cpq_res(triple(X0,X1,X2)))
| ~ pi_find_min(triple(X0,X1,X2)) ),
inference(resolution,[],[f739,f246]) ).
fof(f2298,plain,
! [X2,X3,X0,X1] :
( ~ phi(findmin_cpq_eff(triple(X0,X1,X2)))
| less_than(sK3(triple(X0,X1,X2)),X3)
| ~ pi_find_min(triple(X0,X1,X2))
| less_than(X3,findmin_cpq_res(triple(X0,X1,X2))) ),
inference(resolution,[],[f739,f565]) ).
fof(f2297,plain,
! [X2,X3,X0,X1] :
( ~ phi(findmin_cpq_eff(triple(X0,X1,X2)))
| ~ less_than(X3,sK3(triple(X0,X1,X2)))
| ~ pi_find_min(triple(X0,X1,X2))
| less_than(X3,findmin_cpq_res(triple(X0,X1,X2))) ),
inference(resolution,[],[f739,f2212]) ).
fof(f2296,plain,
! [X2,X3,X0,X1,X4] :
( ~ phi(findmin_cpq_eff(triple(X0,X1,X2)))
| less_than(X3,X4)
| ~ pi_find_min(triple(X0,X1,X2))
| less_than(sK3(triple(X0,X1,X2)),X3)
| less_than(X4,findmin_cpq_res(triple(X0,X1,X2))) ),
inference(resolution,[],[f739,f681]) ).
fof(f739,plain,
! [X2,X0,X1] :
( contains_pq(i(triple(X0,X1,X2)),findmin_cpq_res(triple(X0,X1,X2)))
| ~ phi(findmin_cpq_eff(triple(X0,X1,X2))) ),
inference(resolution,[],[f145,f179]) ).
fof(f2294,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ contains_pq(insert_pq(i(triple(X0,X1,X4)),X2),X5)
| less_than(X6,X7)
| ~ pi_find_min(triple(X0,insert_slb(X1,pair(X2,X3)),X4))
| less_than(sK3(triple(X0,insert_slb(X1,pair(X2,X3)),X4)),X6)
| less_than(X7,X5) ),
inference(superposition,[],[f681,f212]) ).
fof(f2292,plain,
! [X2,X3,X0,X1] :
( less_than(X0,X1)
| ~ pi_find_min(X2)
| less_than(sK3(X2),X0)
| less_than(X1,sK5(i(X2),X3))
| issmallestelement_pq(i(X2),X3) ),
inference(resolution,[],[f681,f177]) ).
fof(f681,plain,
! [X2,X3,X0,X1] :
( ~ contains_pq(i(X0),X3)
| less_than(X1,X2)
| ~ pi_find_min(X0)
| less_than(sK3(X0),X1)
| less_than(X2,X3) ),
inference(resolution,[],[f674,f176]) ).
fof(f2290,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ok(insert_cpq(insert_cpq(insert_cpq(insert_cpq(insert_cpq(triple(X0,X2,X3),X1),X4),X5),X6),X7))
| bad = X3 ),
inference(superposition,[],[f1336,f195]) ).
fof(f2289,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( bad = X0
| ~ check_cpq(insert_cpq(insert_cpq(insert_cpq(insert_cpq(triple(X1,X2,X0),X3),X4),X5),X6))
| phi(X7)
| ~ succ_cpq(X7,insert_cpq(insert_cpq(insert_cpq(triple(X1,X2,X0),X3),X4),X5)) ),
inference(resolution,[],[f1336,f239]) ).
fof(f1336,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( ok(insert_cpq(insert_cpq(insert_cpq(insert_cpq(triple(X0,X2,X3),X1),X4),X5),X6))
| bad = X3 ),
inference(superposition,[],[f1331,f195]) ).
fof(f2287,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ contains_pq(insert_pq(insert_pq(insert_pq(X0,X3),X1),X2),bottom)
| bottom = removemin_pq_res(insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(X0,X1),X2),X4),X5),X3),bottom) ),
inference(superposition,[],[f713,f317]) ).
fof(f2286,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ contains_pq(insert_pq(insert_pq(insert_pq(X0,X2),X3),X1),bottom)
| bottom = removemin_pq_res(insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(X0,X1),X2),X4),X5),X3),bottom) ),
inference(superposition,[],[f713,f317]) ).
fof(f2285,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ contains_pq(insert_pq(insert_pq(insert_pq(X0,X3),X2),X1),bottom)
| bottom = removemin_pq_res(insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(X0,X1),X2),X4),X5),X3),bottom) ),
inference(superposition,[],[f713,f761]) ).
fof(f2284,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ contains_pq(insert_pq(insert_pq(insert_pq(X0,X3),X2),X1),bottom)
| bottom = removemin_pq_res(insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(X0,X1),X2),X4),X5),X3),bottom) ),
inference(superposition,[],[f713,f761]) ).
fof(f2283,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ contains_pq(insert_pq(insert_pq(insert_pq(X0,X2),X1),X3),bottom)
| bottom = removemin_pq_res(insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(X0,X1),X2),X4),X5),X3),bottom) ),
inference(superposition,[],[f713,f766]) ).
fof(f2282,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ contains_pq(insert_pq(insert_pq(insert_pq(X0,X2),X1),X3),bottom)
| bottom = removemin_pq_res(insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(X0,X1),X2),X4),X5),X3),bottom) ),
inference(superposition,[],[f713,f766]) ).
fof(f2281,plain,
! [X2,X3,X0,X1,X4] :
( ~ contains_pq(insert_pq(insert_pq(X0,X2),X1),bottom)
| bottom = removemin_pq_res(insert_pq(insert_pq(insert_pq(insert_pq(X0,X1),X3),X4),X2),bottom) ),
inference(superposition,[],[f713,f186]) ).
fof(f2280,plain,
! [X2,X3,X0,X1,X4] :
( ~ contains_pq(insert_pq(insert_pq(X0,X2),X1),bottom)
| bottom = removemin_pq_res(insert_pq(insert_pq(insert_pq(insert_pq(X0,X1),X3),X4),X2),bottom) ),
inference(superposition,[],[f713,f186]) ).
fof(f2279,plain,
! [X2,X3,X0,X1,X4,X5] :
( bottom = removemin_pq_res(insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(X0,X1),X2),X3),X4),X5),bottom)
| ~ contains_pq(insert_pq(insert_pq(X0,X2),X5),bottom) ),
inference(resolution,[],[f713,f448]) ).
fof(f2278,plain,
! [X2,X3,X0,X1,X4,X5] :
( bottom = removemin_pq_res(insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(X0,X1),X2),X3),X4),X5),bottom)
| ~ contains_pq(insert_pq(insert_pq(X0,X2),X1),bottom) ),
inference(resolution,[],[f713,f801]) ).
fof(f2277,plain,
! [X2,X3,X0,X1,X4,X5] :
( bottom = removemin_pq_res(insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(X0,X1),X2),X3),X4),X5),bottom)
| ~ contains_pq(insert_pq(insert_pq(X0,X5),X2),bottom) ),
inference(resolution,[],[f713,f857]) ).
fof(f2276,plain,
! [X2,X3,X0,X1,X4,X5] :
( bottom = removemin_pq_res(insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(X0,X1),X2),X3),X4),X5),bottom)
| ~ contains_pq(insert_pq(insert_pq(X0,X5),X1),bottom) ),
inference(resolution,[],[f713,f868]) ).
fof(f2275,plain,
! [X2,X3,X0,X1,X4] :
( bottom = removemin_pq_res(insert_pq(insert_pq(insert_pq(insert_pq(X0,X1),X2),X3),X4),bottom)
| ~ contains_pq(insert_pq(X0,X4),bottom) ),
inference(resolution,[],[f713,f323]) ).
fof(f2274,plain,
! [X2,X3,X0,X1,X4,X5] :
( bottom = removemin_pq_res(insert_pq(insert_pq(insert_pq(insert_pq(X0,X1),X2),X3),X4),bottom)
| bottom = X5
| ~ contains_pq(X0,bottom) ),
inference(resolution,[],[f713,f1411]) ).
fof(f2273,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] : bottom = removemin_pq_res(insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(X0,bottom),X1),X2),X3),X4),X5),X6),X7),bottom),
inference(resolution,[],[f713,f818]) ).
fof(f2272,plain,
! [X2,X3,X0,X1,X6,X4,X5] : bottom = removemin_pq_res(insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(X0,bottom),X1),X2),X3),X4),X5),X6),bottom),
inference(resolution,[],[f713,f409]) ).
fof(f2271,plain,
! [X2,X3,X0,X1,X4,X5] : bottom = removemin_pq_res(insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(X0,bottom),X1),X2),X3),X4),X5),bottom),
inference(resolution,[],[f713,f357]) ).
fof(f713,plain,
! [X2,X3,X0,X1] :
( ~ contains_pq(insert_pq(X0,X3),bottom)
| bottom = removemin_pq_res(insert_pq(insert_pq(insert_pq(X0,X1),X2),X3),bottom) ),
inference(resolution,[],[f446,f323]) ).
fof(f2266,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ contains_pq(insert_pq(insert_pq(insert_pq(X0,X3),X1),X2),bottom)
| bottom = findmin_pq_res(insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(X0,X1),X2),X4),X5),X3),bottom) ),
inference(superposition,[],[f704,f317]) ).
fof(f2265,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ contains_pq(insert_pq(insert_pq(insert_pq(X0,X2),X3),X1),bottom)
| bottom = findmin_pq_res(insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(X0,X1),X2),X4),X5),X3),bottom) ),
inference(superposition,[],[f704,f317]) ).
fof(f2264,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ contains_pq(insert_pq(insert_pq(insert_pq(X0,X3),X2),X1),bottom)
| bottom = findmin_pq_res(insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(X0,X1),X2),X4),X5),X3),bottom) ),
inference(superposition,[],[f704,f761]) ).
fof(f2263,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ contains_pq(insert_pq(insert_pq(insert_pq(X0,X3),X2),X1),bottom)
| bottom = findmin_pq_res(insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(X0,X1),X2),X4),X5),X3),bottom) ),
inference(superposition,[],[f704,f761]) ).
fof(f2262,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ contains_pq(insert_pq(insert_pq(insert_pq(X0,X2),X1),X3),bottom)
| bottom = findmin_pq_res(insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(X0,X1),X2),X4),X5),X3),bottom) ),
inference(superposition,[],[f704,f766]) ).
fof(f2261,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ contains_pq(insert_pq(insert_pq(insert_pq(X0,X2),X1),X3),bottom)
| bottom = findmin_pq_res(insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(X0,X1),X2),X4),X5),X3),bottom) ),
inference(superposition,[],[f704,f766]) ).
fof(f2260,plain,
! [X2,X3,X0,X1,X4] :
( ~ contains_pq(insert_pq(insert_pq(X0,X2),X1),bottom)
| bottom = findmin_pq_res(insert_pq(insert_pq(insert_pq(insert_pq(X0,X1),X3),X4),X2),bottom) ),
inference(superposition,[],[f704,f186]) ).
fof(f2259,plain,
! [X2,X3,X0,X1,X4] :
( ~ contains_pq(insert_pq(insert_pq(X0,X2),X1),bottom)
| bottom = findmin_pq_res(insert_pq(insert_pq(insert_pq(insert_pq(X0,X1),X3),X4),X2),bottom) ),
inference(superposition,[],[f704,f186]) ).
fof(f2258,plain,
! [X2,X3,X0,X1,X4,X5] :
( bottom = findmin_pq_res(insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(X0,X1),X2),X3),X4),X5),bottom)
| ~ contains_pq(insert_pq(insert_pq(X0,X2),X5),bottom) ),
inference(resolution,[],[f704,f448]) ).
fof(f2257,plain,
! [X2,X3,X0,X1,X4,X5] :
( bottom = findmin_pq_res(insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(X0,X1),X2),X3),X4),X5),bottom)
| ~ contains_pq(insert_pq(insert_pq(X0,X2),X1),bottom) ),
inference(resolution,[],[f704,f801]) ).
fof(f2256,plain,
! [X2,X3,X0,X1,X4,X5] :
( bottom = findmin_pq_res(insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(X0,X1),X2),X3),X4),X5),bottom)
| ~ contains_pq(insert_pq(insert_pq(X0,X5),X2),bottom) ),
inference(resolution,[],[f704,f857]) ).
fof(f2255,plain,
! [X2,X3,X0,X1,X4,X5] :
( bottom = findmin_pq_res(insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(X0,X1),X2),X3),X4),X5),bottom)
| ~ contains_pq(insert_pq(insert_pq(X0,X5),X1),bottom) ),
inference(resolution,[],[f704,f868]) ).
fof(f2254,plain,
! [X2,X3,X0,X1,X4] :
( bottom = findmin_pq_res(insert_pq(insert_pq(insert_pq(insert_pq(X0,X1),X2),X3),X4),bottom)
| ~ contains_pq(insert_pq(X0,X4),bottom) ),
inference(resolution,[],[f704,f323]) ).
fof(f2253,plain,
! [X2,X3,X0,X1,X4,X5] :
( bottom = findmin_pq_res(insert_pq(insert_pq(insert_pq(insert_pq(X0,X1),X2),X3),X4),bottom)
| bottom = X5
| ~ contains_pq(X0,bottom) ),
inference(resolution,[],[f704,f1411]) ).
fof(f2252,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] : bottom = findmin_pq_res(insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(X0,bottom),X1),X2),X3),X4),X5),X6),X7),bottom),
inference(resolution,[],[f704,f818]) ).
fof(f2251,plain,
! [X2,X3,X0,X1,X6,X4,X5] : bottom = findmin_pq_res(insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(X0,bottom),X1),X2),X3),X4),X5),X6),bottom),
inference(resolution,[],[f704,f409]) ).
fof(f2250,plain,
! [X2,X3,X0,X1,X4,X5] : bottom = findmin_pq_res(insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(X0,bottom),X1),X2),X3),X4),X5),bottom),
inference(resolution,[],[f704,f357]) ).
fof(f704,plain,
! [X2,X3,X0,X1] :
( ~ contains_pq(insert_pq(X0,X3),bottom)
| bottom = findmin_pq_res(insert_pq(insert_pq(insert_pq(X0,X1),X2),X3),bottom) ),
inference(resolution,[],[f445,f323]) ).
fof(f2244,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ contains_pq(insert_pq(i(triple(X0,X1,X4)),X2),X5)
| ~ less_than(X6,sK3(triple(X0,insert_slb(X1,pair(X2,X3)),X4)))
| ~ pi_find_min(triple(X0,insert_slb(X1,pair(X2,X3)),X4))
| less_than(X6,X5) ),
inference(superposition,[],[f2212,f212]) ).
fof(f2212,plain,
! [X2,X0,X1] :
( ~ contains_pq(i(X0),X2)
| ~ less_than(X1,sK3(X0))
| ~ pi_find_min(X0)
| less_than(X1,X2) ),
inference(resolution,[],[f2206,f176]) ).
fof(f2240,plain,
! [X2,X3,X0,X1] :
( ~ pi_find_min(X0)
| issmallestelement_pq(i(X0),X1)
| less_than(sK5(X2,sK5(X3,sK3(X0))),X1)
| issmallestelement_pq(X3,sK3(X0))
| issmallestelement_pq(X2,sK5(X3,sK3(X0))) ),
inference(resolution,[],[f2204,f385]) ).
fof(f2239,plain,
! [X2,X3,X0,X1] :
( ~ pi_find_min(X0)
| issmallestelement_pq(i(X0),X1)
| less_than(sK5(X2,X3),X1)
| less_than(sK3(X0),X3)
| issmallestelement_pq(X2,X3) ),
inference(resolution,[],[f2204,f266]) ).
fof(f2238,plain,
! [X2,X3,X0,X1,X4] :
( ~ pi_find_min(X0)
| issmallestelement_pq(i(X0),X1)
| less_than(sK5(X2,X3),X1)
| less_than(sK3(X0),X4)
| less_than(X4,X3)
| issmallestelement_pq(X2,X3) ),
inference(resolution,[],[f2204,f380]) ).
fof(f2237,plain,
! [X2,X3,X0,X1,X4] :
( ~ pi_find_min(X0)
| issmallestelement_pq(i(X0),X1)
| less_than(sK5(X2,X3),X1)
| less_than(sK5(X4,sK3(X0)),X3)
| issmallestelement_pq(X2,X3)
| issmallestelement_pq(X4,sK3(X0)) ),
inference(resolution,[],[f2204,f387]) ).
fof(f2236,plain,
! [X2,X3,X0,X1,X4] :
( ~ pi_find_min(X0)
| issmallestelement_pq(i(X0),X1)
| less_than(sK5(X2,X3),X1)
| less_than(sK5(X4,sK3(X0)),X3)
| issmallestelement_pq(X4,sK3(X0))
| issmallestelement_pq(X2,X3) ),
inference(resolution,[],[f2204,f387]) ).
fof(f2235,plain,
! [X2,X3,X0,X1] :
( ~ pi_find_min(X0)
| issmallestelement_pq(i(X0),X1)
| less_than(sK3(X2),X1)
| issmallestelement_pq(i(X2),X3)
| less_than(sK3(X0),X3)
| ~ pi_find_min(X2) ),
inference(resolution,[],[f2204,f674]) ).
fof(f2234,plain,
! [X2,X0,X1] :
( ~ pi_find_min(X0)
| issmallestelement_pq(i(X0),X1)
| less_than(sK5(X2,sK3(X0)),X1)
| issmallestelement_pq(X2,sK3(X0)) ),
inference(resolution,[],[f2204,f234]) ).
fof(f2233,plain,
! [X2,X3,X0,X1] :
( ~ pi_find_min(X0)
| issmallestelement_pq(i(X0),X1)
| less_than(X2,X1)
| issmallestelement_pq(i(X3),sK3(X0))
| less_than(sK3(X3),X2)
| ~ pi_find_min(X3) ),
inference(resolution,[],[f2204,f674]) ).
fof(f2232,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ pi_find_min(X0)
| issmallestelement_pq(i(X0),X1)
| less_than(X2,X1)
| less_than(sK3(X0),X3)
| less_than(X3,X4)
| less_than(X4,X5)
| less_than(X5,X2) ),
inference(resolution,[],[f2204,f476]) ).
fof(f2231,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ pi_find_min(X0)
| issmallestelement_pq(i(X0),X1)
| less_than(X2,X1)
| less_than(X3,X4)
| less_than(X4,X5)
| less_than(X5,X2)
| less_than(sK3(X0),X3) ),
inference(resolution,[],[f2204,f476]) ).
fof(f2230,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ pi_find_min(X0)
| issmallestelement_pq(i(X0),X1)
| less_than(X2,X1)
| less_than(X3,X4)
| less_than(X4,X2)
| less_than(sK3(X0),X5)
| less_than(X5,X3) ),
inference(resolution,[],[f2204,f476]) ).
fof(f2229,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ pi_find_min(X0)
| issmallestelement_pq(i(X0),X1)
| less_than(X2,X1)
| less_than(X3,X2)
| less_than(sK3(X0),X4)
| less_than(X4,X5)
| less_than(X5,X3) ),
inference(resolution,[],[f2204,f476]) ).
fof(f2228,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ pi_find_min(X0)
| issmallestelement_pq(i(X0),X1)
| less_than(X2,X1)
| less_than(sK3(X0),X3)
| less_than(X3,X4)
| less_than(X4,X5)
| less_than(X5,X2) ),
inference(resolution,[],[f2204,f476]) ).
fof(f2227,plain,
! [X2,X3,X0,X1,X4] :
( ~ pi_find_min(X0)
| issmallestelement_pq(i(X0),X1)
| less_than(X2,X1)
| less_than(sK5(X3,X4),X2)
| less_than(sK3(X0),X4)
| issmallestelement_pq(X3,X4) ),
inference(resolution,[],[f2204,f380]) ).
fof(f2226,plain,
! [X2,X3,X0,X1,X4] :
( ~ pi_find_min(X0)
| issmallestelement_pq(i(X0),X1)
| less_than(X2,X1)
| less_than(sK5(X3,sK3(X0)),X4)
| less_than(X4,X2)
| issmallestelement_pq(X3,sK3(X0)) ),
inference(resolution,[],[f2204,f380]) ).
fof(f2225,plain,
! [X2,X3,X0,X1,X4] :
( ~ pi_find_min(X0)
| issmallestelement_pq(i(X0),X1)
| less_than(X2,X1)
| less_than(sK3(X0),X3)
| less_than(X3,X4)
| less_than(X4,X2) ),
inference(resolution,[],[f2204,f268]) ).
fof(f2224,plain,
! [X2,X3,X0,X1,X4] :
( ~ pi_find_min(X0)
| issmallestelement_pq(i(X0),X1)
| less_than(X2,X1)
| less_than(X3,X4)
| less_than(X4,X2)
| less_than(sK3(X0),X3) ),
inference(resolution,[],[f2204,f268]) ).
fof(f2223,plain,
! [X2,X3,X0,X1,X4] :
( ~ pi_find_min(X0)
| issmallestelement_pq(i(X0),X1)
| less_than(X2,X1)
| less_than(X3,X2)
| less_than(sK3(X0),X4)
| less_than(X4,X3) ),
inference(resolution,[],[f2204,f268]) ).
fof(f2222,plain,
! [X2,X3,X0,X1,X4] :
( ~ pi_find_min(X0)
| issmallestelement_pq(i(X0),X1)
| less_than(X2,X1)
| less_than(sK3(X0),X3)
| less_than(X3,X4)
| less_than(X4,X2) ),
inference(resolution,[],[f2204,f268]) ).
fof(f2221,plain,
! [X2,X3,X0,X1] :
( ~ pi_find_min(X0)
| issmallestelement_pq(i(X0),X1)
| less_than(X2,X1)
| less_than(sK3(X0),X3)
| less_than(X3,X2) ),
inference(resolution,[],[f2204,f264]) ).
fof(f2220,plain,
! [X2,X3,X0,X1] :
( ~ pi_find_min(X0)
| issmallestelement_pq(i(X0),X1)
| less_than(X2,X1)
| less_than(X3,X2)
| less_than(sK3(X0),X3) ),
inference(resolution,[],[f2204,f264]) ).
fof(f2219,plain,
! [X2,X3,X0,X1] :
( ~ pi_find_min(X0)
| issmallestelement_pq(i(X0),X1)
| less_than(X2,X1)
| less_than(sK3(X0),X3)
| less_than(X3,X2) ),
inference(resolution,[],[f2204,f264]) ).
fof(f2204,plain,
! [X2,X0,X1] :
( ~ less_than(X2,sK3(X0))
| ~ pi_find_min(X0)
| issmallestelement_pq(i(X0),X1)
| less_than(X2,X1) ),
inference(duplicate_literal_removal,[],[f2195]) ).
fof(f2195,plain,
! [X2,X0,X1] :
( issmallestelement_pq(i(X0),X1)
| ~ pi_find_min(X0)
| ~ less_than(X2,sK3(X0))
| less_than(X2,X1)
| issmallestelement_pq(i(X0),X1) ),
inference(resolution,[],[f557,f255]) ).
fof(f2214,plain,
! [X2,X3,X0,X1,X4,X5] :
( issmallestelement_pq(insert_pq(i(triple(X0,X1,X4)),X2),X5)
| ~ pi_find_min(triple(X0,insert_slb(X1,pair(X2,X3)),X4))
| ~ less_than(X5,sK3(triple(X0,insert_slb(X1,pair(X2,X3)),X4))) ),
inference(superposition,[],[f2206,f212]) ).
fof(f2211,plain,
! [X0,X1] :
( ~ pi_find_min(X0)
| ~ less_than(X1,sK3(X0))
| i(X0) = findmin_pq_eff(i(X0),X1)
| ~ contains_pq(i(X0),X1) ),
inference(resolution,[],[f2206,f171]) ).
fof(f2208,plain,
! [X0,X1] :
( ~ pi_find_min(X0)
| ~ less_than(X1,sK3(X0))
| removemin_pq_eff(i(X0),X1) = remove_pq(i(X0),X1)
| ~ contains_pq(i(X0),X1) ),
inference(resolution,[],[f2206,f174]) ).
fof(f2206,plain,
! [X0,X1] :
( issmallestelement_pq(i(X0),X1)
| ~ pi_find_min(X0)
| ~ less_than(X1,sK3(X0)) ),
inference(duplicate_literal_removal,[],[f2193]) ).
fof(f2193,plain,
! [X0,X1] :
( issmallestelement_pq(i(X0),X1)
| ~ pi_find_min(X0)
| ~ less_than(X1,sK3(X0))
| issmallestelement_pq(i(X0),X1) ),
inference(resolution,[],[f557,f178]) ).
fof(f2207,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( issmallestelement_pq(insert_pq(i(triple(X0,X1,X4)),X2),X6)
| less_than(X5,sK5(insert_pq(i(triple(X0,X1,X4)),X2),X6))
| ~ pi_find_min(triple(X0,insert_slb(X1,pair(X2,X3)),X4))
| ~ less_than(X5,sK3(triple(X0,insert_slb(X1,pair(X2,X3)),X4))) ),
inference(forward_demodulation,[],[f2203,f212]) ).
fof(f2203,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( less_than(X5,sK5(insert_pq(i(triple(X0,X1,X4)),X2),X6))
| issmallestelement_pq(i(triple(X0,insert_slb(X1,pair(X2,X3)),X4)),X6)
| ~ pi_find_min(triple(X0,insert_slb(X1,pair(X2,X3)),X4))
| ~ less_than(X5,sK3(triple(X0,insert_slb(X1,pair(X2,X3)),X4))) ),
inference(superposition,[],[f557,f212]) ).
fof(f2201,plain,
! [X2,X3,X0,X1,X4] :
( issmallestelement_pq(i(X0),X1)
| ~ pi_find_min(X0)
| ~ less_than(lookup_slb(X2,sK5(i(X0),X1)),sK3(X0))
| remove_cpq(triple(X3,X2,X4),sK5(i(X0),X1)) = triple(remove_pqp(X3,sK5(i(X0),X1)),remove_slb(X2,sK5(i(X0),X1)),X4)
| ~ contains_slb(X2,sK5(i(X0),X1)) ),
inference(resolution,[],[f557,f206]) ).
fof(f2200,plain,
! [X2,X3,X0,X1] :
( issmallestelement_pq(i(X0),X1)
| ~ pi_find_min(X0)
| ~ less_than(X2,sK3(X0))
| less_than(X3,sK5(i(X0),X1))
| ~ less_than(X3,X2) ),
inference(resolution,[],[f557,f191]) ).
fof(f2199,plain,
! [X2,X3,X0,X1] :
( issmallestelement_pq(i(X0),X1)
| ~ pi_find_min(X0)
| ~ less_than(X2,sK3(X0))
| less_than(X2,X3)
| less_than(X3,sK5(i(X0),X1)) ),
inference(resolution,[],[f557,f253]) ).
fof(f2198,plain,
! [X2,X3,X0,X1,X4] :
( issmallestelement_pq(i(X0),X1)
| ~ pi_find_min(X0)
| ~ less_than(X2,sK3(X0))
| less_than(X3,sK5(i(X0),X1))
| less_than(X2,X4)
| less_than(X4,X3) ),
inference(resolution,[],[f557,f269]) ).
fof(f2197,plain,
! [X2,X3,X0,X1,X4,X5] :
( issmallestelement_pq(i(X0),X1)
| ~ pi_find_min(X0)
| ~ less_than(X2,sK3(X0))
| less_than(X3,X4)
| less_than(X4,sK5(i(X0),X1))
| less_than(X2,X5)
| less_than(X5,X3) ),
inference(resolution,[],[f557,f477]) ).
fof(f2196,plain,
! [X2,X3,X0,X1,X4] :
( issmallestelement_pq(i(X0),X1)
| ~ pi_find_min(X0)
| ~ less_than(X2,sK3(X0))
| update_slb(insert_slb(X3,pair(X4,sK5(i(X0),X1))),X2) = insert_slb(update_slb(X3,X2),pair(X4,sK5(i(X0),X1))) ),
inference(resolution,[],[f557,f199]) ).
fof(f2205,plain,
! [X2,X3,X0,X1] :
( issmallestelement_pq(i(X0),X1)
| ~ pi_find_min(X0)
| ~ less_than(X2,sK3(X0))
| less_than(X2,X3)
| less_than(X3,X1) ),
inference(duplicate_literal_removal,[],[f2194]) ).
fof(f2194,plain,
! [X2,X3,X0,X1] :
( issmallestelement_pq(i(X0),X1)
| ~ pi_find_min(X0)
| ~ less_than(X2,sK3(X0))
| issmallestelement_pq(i(X0),X1)
| less_than(X2,X3)
| less_than(X3,X1) ),
inference(resolution,[],[f557,f389]) ).
fof(f557,plain,
! [X2,X0,X1] :
( less_than(X2,sK5(i(X0),X1))
| issmallestelement_pq(i(X0),X1)
| ~ pi_find_min(X0)
| ~ less_than(X2,sK3(X0)) ),
inference(resolution,[],[f289,f191]) ).
fof(f2192,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( issmallestelement_pq(insert_pq(i(triple(X0,X1,X4)),X2),X6)
| less_than(X5,sK5(insert_pq(i(triple(X0,X1,X4)),X2),X6))
| less_than(sK3(triple(X0,insert_slb(X1,pair(X2,X3)),X4)),X5)
| ~ pi_find_min(triple(X0,insert_slb(X1,pair(X2,X3)),X4)) ),
inference(forward_demodulation,[],[f2188,f212]) ).
fof(f2188,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( less_than(X5,sK5(insert_pq(i(triple(X0,X1,X4)),X2),X6))
| issmallestelement_pq(i(triple(X0,insert_slb(X1,pair(X2,X3)),X4)),X6)
| less_than(sK3(triple(X0,insert_slb(X1,pair(X2,X3)),X4)),X5)
| ~ pi_find_min(triple(X0,insert_slb(X1,pair(X2,X3)),X4)) ),
inference(superposition,[],[f556,f212]) ).
fof(f2186,plain,
! [X2,X3,X0,X1,X4] :
( issmallestelement_pq(i(X0),X1)
| less_than(sK3(X0),lookup_slb(X2,sK5(i(X0),X1)))
| ~ pi_find_min(X0)
| remove_cpq(triple(X3,X2,X4),sK5(i(X0),X1)) = triple(remove_pqp(X3,sK5(i(X0),X1)),remove_slb(X2,sK5(i(X0),X1)),X4)
| ~ contains_slb(X2,sK5(i(X0),X1)) ),
inference(resolution,[],[f556,f206]) ).
fof(f2185,plain,
! [X2,X3,X0,X1] :
( issmallestelement_pq(i(X0),X1)
| less_than(sK3(X0),X2)
| ~ pi_find_min(X0)
| less_than(X3,sK5(i(X0),X1))
| ~ less_than(X3,X2) ),
inference(resolution,[],[f556,f191]) ).
fof(f2184,plain,
! [X2,X3,X0,X1] :
( issmallestelement_pq(i(X0),X1)
| less_than(sK3(X0),X2)
| ~ pi_find_min(X0)
| less_than(X2,X3)
| less_than(X3,sK5(i(X0),X1)) ),
inference(resolution,[],[f556,f253]) ).
fof(f2183,plain,
! [X2,X3,X0,X1,X4] :
( issmallestelement_pq(i(X0),X1)
| less_than(sK3(X0),X2)
| ~ pi_find_min(X0)
| less_than(X3,sK5(i(X0),X1))
| less_than(X2,X4)
| less_than(X4,X3) ),
inference(resolution,[],[f556,f269]) ).
fof(f2182,plain,
! [X2,X3,X0,X1,X4,X5] :
( issmallestelement_pq(i(X0),X1)
| less_than(sK3(X0),X2)
| ~ pi_find_min(X0)
| less_than(X3,X4)
| less_than(X4,sK5(i(X0),X1))
| less_than(X2,X5)
| less_than(X5,X3) ),
inference(resolution,[],[f556,f477]) ).
fof(f2181,plain,
! [X2,X3,X0,X1,X4] :
( issmallestelement_pq(i(X0),X1)
| less_than(sK3(X0),X2)
| ~ pi_find_min(X0)
| update_slb(insert_slb(X3,pair(X4,sK5(i(X0),X1))),X2) = insert_slb(update_slb(X3,X2),pair(X4,sK5(i(X0),X1))) ),
inference(resolution,[],[f556,f199]) ).
fof(f2190,plain,
! [X2,X3,X0,X1] :
( issmallestelement_pq(i(X0),X1)
| less_than(sK3(X0),X2)
| ~ pi_find_min(X0)
| less_than(X2,X3)
| less_than(X3,X1) ),
inference(duplicate_literal_removal,[],[f2179]) ).
fof(f2179,plain,
! [X2,X3,X0,X1] :
( issmallestelement_pq(i(X0),X1)
| less_than(sK3(X0),X2)
| ~ pi_find_min(X0)
| issmallestelement_pq(i(X0),X1)
| less_than(X2,X3)
| less_than(X3,X1) ),
inference(resolution,[],[f556,f389]) ).
fof(f556,plain,
! [X2,X0,X1] :
( less_than(X2,sK5(i(X0),X1))
| issmallestelement_pq(i(X0),X1)
| less_than(sK3(X0),X2)
| ~ pi_find_min(X0) ),
inference(resolution,[],[f289,f253]) ).
fof(f2176,plain,
! [X2,X0,X1] :
( issmallestelement_pq(i(triple(X0,X1,X2)),findmin_pqp_res(X0))
| ~ phi(findmin_cpq_eff(triple(X0,X1,X2)))
| create_slb = X1 ),
inference(superposition,[],[f738,f196]) ).
fof(f2177,plain,
! [X2,X3,X0,X1] :
( ~ phi(findmin_cpq_eff(insert_cpq(triple(X0,X2,X3),X1)))
| issmallestelement_pq(i(insert_cpq(triple(X0,X2,X3),X1)),findmin_cpq_res(insert_cpq(triple(X0,X2,X3),X1))) ),
inference(forward_demodulation,[],[f2174,f195]) ).
fof(f2174,plain,
! [X2,X3,X0,X1] :
( issmallestelement_pq(i(insert_cpq(triple(X0,X2,X3),X1)),findmin_cpq_res(insert_cpq(triple(X0,X2,X3),X1)))
| ~ phi(findmin_cpq_eff(triple(insert_pqp(X0,X1),insert_slb(X2,pair(X1,bottom)),X3))) ),
inference(superposition,[],[f738,f195]) ).
fof(f2173,plain,
! [X2,X3,X0,X1,X4] :
( issmallestelement_pq(insert_pq(i(triple(X0,X1,X4)),X2),findmin_cpq_res(triple(X0,insert_slb(X1,pair(X2,X3)),X4)))
| ~ phi(findmin_cpq_eff(triple(X0,insert_slb(X1,pair(X2,X3)),X4))) ),
inference(superposition,[],[f738,f212]) ).
fof(f2171,plain,
! [X2,X3,X0,X1] :
( ~ phi(findmin_cpq_eff(triple(X0,X1,X2)))
| ~ contains_pq(i(triple(X0,X1,X2)),X3)
| less_than(findmin_cpq_res(triple(X0,X1,X2)),X3) ),
inference(resolution,[],[f738,f176]) ).
fof(f2170,plain,
! [X2,X0,X1] :
( ~ phi(findmin_cpq_eff(triple(X0,X1,X2)))
| i(triple(X0,X1,X2)) = findmin_pq_eff(i(triple(X0,X1,X2)),findmin_cpq_res(triple(X0,X1,X2)))
| ~ contains_pq(i(triple(X0,X1,X2)),findmin_cpq_res(triple(X0,X1,X2))) ),
inference(resolution,[],[f738,f171]) ).
fof(f2169,plain,
! [X2,X0,X1] :
( ~ phi(findmin_cpq_eff(triple(X0,X1,X2)))
| findmin_cpq_res(triple(X0,X1,X2)) = removemin_pq_res(i(triple(X0,X1,X2)),findmin_cpq_res(triple(X0,X1,X2)))
| ~ contains_pq(i(triple(X0,X1,X2)),findmin_cpq_res(triple(X0,X1,X2))) ),
inference(resolution,[],[f738,f172]) ).
fof(f2168,plain,
! [X2,X0,X1] :
( ~ phi(findmin_cpq_eff(triple(X0,X1,X2)))
| findmin_cpq_res(triple(X0,X1,X2)) = findmin_pq_res(i(triple(X0,X1,X2)),findmin_cpq_res(triple(X0,X1,X2)))
| ~ contains_pq(i(triple(X0,X1,X2)),findmin_cpq_res(triple(X0,X1,X2))) ),
inference(resolution,[],[f738,f173]) ).
fof(f2167,plain,
! [X2,X0,X1] :
( ~ phi(findmin_cpq_eff(triple(X0,X1,X2)))
| removemin_pq_eff(i(triple(X0,X1,X2)),findmin_cpq_res(triple(X0,X1,X2))) = remove_pq(i(triple(X0,X1,X2)),findmin_cpq_res(triple(X0,X1,X2)))
| ~ contains_pq(i(triple(X0,X1,X2)),findmin_cpq_res(triple(X0,X1,X2))) ),
inference(resolution,[],[f738,f174]) ).
fof(f738,plain,
! [X2,X0,X1] :
( issmallestelement_pq(i(triple(X0,X1,X2)),findmin_cpq_res(triple(X0,X1,X2)))
| ~ phi(findmin_cpq_eff(triple(X0,X1,X2))) ),
inference(resolution,[],[f145,f180]) ).
fof(f2166,plain,
! [X2,X3,X0,X1,X4,X5] :
( insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(X0,X1),X2),X3),X4),X5) = findmin_pq_eff(insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(X0,X1),X2),X3),X4),X5),bottom)
| ~ contains_pq(insert_pq(insert_pq(X0,X2),X3),bottom) ),
inference(resolution,[],[f518,f448]) ).
fof(f2165,plain,
! [X2,X3,X0,X1,X4,X5] :
( insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(X0,X1),X2),X3),X4),X5) = findmin_pq_eff(insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(X0,X1),X2),X3),X4),X5),bottom)
| ~ contains_pq(insert_pq(insert_pq(X0,X2),X1),bottom) ),
inference(resolution,[],[f518,f801]) ).
fof(f2164,plain,
! [X2,X3,X0,X1,X4,X5] :
( insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(X0,X1),X2),X3),X4),X5) = findmin_pq_eff(insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(X0,X1),X2),X3),X4),X5),bottom)
| ~ contains_pq(insert_pq(insert_pq(X0,X3),X2),bottom) ),
inference(resolution,[],[f518,f857]) ).
fof(f2163,plain,
! [X2,X3,X0,X1,X4,X5] :
( insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(X0,X1),X2),X3),X4),X5) = findmin_pq_eff(insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(X0,X1),X2),X3),X4),X5),bottom)
| ~ contains_pq(insert_pq(insert_pq(X0,X3),X1),bottom) ),
inference(resolution,[],[f518,f868]) ).
fof(f2162,plain,
! [X2,X3,X0,X1,X4] :
( insert_pq(insert_pq(insert_pq(insert_pq(X0,X1),X2),X3),X4) = findmin_pq_eff(insert_pq(insert_pq(insert_pq(insert_pq(X0,X1),X2),X3),X4),bottom)
| ~ contains_pq(insert_pq(X0,X2),bottom) ),
inference(resolution,[],[f518,f323]) ).
fof(f2161,plain,
! [X2,X3,X0,X1,X4,X5] :
( insert_pq(insert_pq(insert_pq(insert_pq(X0,X1),X2),X3),X4) = findmin_pq_eff(insert_pq(insert_pq(insert_pq(insert_pq(X0,X1),X2),X3),X4),bottom)
| bottom = X5
| ~ contains_pq(X0,bottom) ),
inference(resolution,[],[f518,f1411]) ).
fof(f2160,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] : insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(X0,bottom),X1),X2),X3),X4),X5),X6),X7) = findmin_pq_eff(insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(X0,bottom),X1),X2),X3),X4),X5),X6),X7),bottom),
inference(resolution,[],[f518,f818]) ).
fof(f2159,plain,
! [X2,X3,X0,X1,X6,X4,X5] : insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(X0,bottom),X1),X2),X3),X4),X5),X6) = findmin_pq_eff(insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(X0,bottom),X1),X2),X3),X4),X5),X6),bottom),
inference(resolution,[],[f518,f409]) ).
fof(f2158,plain,
! [X2,X3,X0,X1,X4,X5] : insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(X0,bottom),X1),X2),X3),X4),X5) = findmin_pq_eff(insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(X0,bottom),X1),X2),X3),X4),X5),bottom),
inference(resolution,[],[f518,f357]) ).
fof(f2157,plain,
! [X2,X3,X0,X1,X4] : insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(X0,bottom),X1),X2),X3),X4) = findmin_pq_eff(insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(X0,bottom),X1),X2),X3),X4),bottom),
inference(resolution,[],[f518,f348]) ).
fof(f2156,plain,
! [X2,X3,X0,X1] : insert_pq(insert_pq(insert_pq(insert_pq(X0,bottom),X1),X2),X3) = findmin_pq_eff(insert_pq(insert_pq(insert_pq(insert_pq(X0,bottom),X1),X2),X3),bottom),
inference(resolution,[],[f518,f325]) ).
fof(f2155,plain,
! [X2,X3,X0,X1] :
( insert_pq(insert_pq(insert_pq(X0,X1),X2),X3) = findmin_pq_eff(insert_pq(insert_pq(insert_pq(X0,X1),X2),X3),bottom)
| ~ contains_pq(X0,bottom) ),
inference(resolution,[],[f518,f193]) ).
fof(f2154,plain,
! [X2,X0,X1] : insert_pq(insert_pq(insert_pq(X0,bottom),X1),X2) = findmin_pq_eff(insert_pq(insert_pq(insert_pq(X0,bottom),X1),X2),bottom),
inference(resolution,[],[f518,f220]) ).
fof(f518,plain,
! [X2,X0,X1] :
( ~ contains_pq(X0,bottom)
| insert_pq(insert_pq(X0,X1),X2) = findmin_pq_eff(insert_pq(insert_pq(X0,X1),X2),bottom) ),
inference(resolution,[],[f297,f193]) ).
fof(f2153,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ contains_pq(insert_pq(insert_pq(insert_pq(X0,X3),X1),X2),bottom)
| bottom = removemin_pq_res(insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(X0,X1),X2),X4),X3),X5),bottom) ),
inference(superposition,[],[f444,f317]) ).
fof(f2152,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ contains_pq(insert_pq(insert_pq(insert_pq(X0,X2),X3),X1),bottom)
| bottom = removemin_pq_res(insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(X0,X1),X2),X4),X3),X5),bottom) ),
inference(superposition,[],[f444,f317]) ).
fof(f2151,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ contains_pq(insert_pq(insert_pq(insert_pq(X0,X3),X2),X1),bottom)
| bottom = removemin_pq_res(insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(X0,X1),X2),X4),X3),X5),bottom) ),
inference(superposition,[],[f444,f761]) ).
fof(f2150,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ contains_pq(insert_pq(insert_pq(insert_pq(X0,X3),X2),X1),bottom)
| bottom = removemin_pq_res(insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(X0,X1),X2),X4),X3),X5),bottom) ),
inference(superposition,[],[f444,f761]) ).
fof(f2149,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ contains_pq(insert_pq(insert_pq(insert_pq(X0,X2),X1),X3),bottom)
| bottom = removemin_pq_res(insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(X0,X1),X2),X4),X3),X5),bottom) ),
inference(superposition,[],[f444,f766]) ).
fof(f2148,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ contains_pq(insert_pq(insert_pq(insert_pq(X0,X2),X1),X3),bottom)
| bottom = removemin_pq_res(insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(X0,X1),X2),X4),X3),X5),bottom) ),
inference(superposition,[],[f444,f766]) ).
fof(f2147,plain,
! [X2,X3,X0,X1,X4] :
( ~ contains_pq(insert_pq(insert_pq(X0,X2),X1),bottom)
| bottom = removemin_pq_res(insert_pq(insert_pq(insert_pq(insert_pq(X0,X1),X3),X2),X4),bottom) ),
inference(superposition,[],[f444,f186]) ).
fof(f2146,plain,
! [X2,X3,X0,X1,X4] :
( ~ contains_pq(insert_pq(insert_pq(X0,X2),X1),bottom)
| bottom = removemin_pq_res(insert_pq(insert_pq(insert_pq(insert_pq(X0,X1),X3),X2),X4),bottom) ),
inference(superposition,[],[f444,f186]) ).
fof(f2145,plain,
! [X2,X3,X0,X1,X4,X5] :
( bottom = removemin_pq_res(insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(X0,X1),X2),X3),X4),X5),bottom)
| ~ contains_pq(insert_pq(insert_pq(X0,X2),X4),bottom) ),
inference(resolution,[],[f444,f448]) ).
fof(f2144,plain,
! [X2,X3,X0,X1,X4,X5] :
( bottom = removemin_pq_res(insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(X0,X1),X2),X3),X4),X5),bottom)
| ~ contains_pq(insert_pq(insert_pq(X0,X2),X1),bottom) ),
inference(resolution,[],[f444,f801]) ).
fof(f2143,plain,
! [X2,X3,X0,X1,X4,X5] :
( bottom = removemin_pq_res(insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(X0,X1),X2),X3),X4),X5),bottom)
| ~ contains_pq(insert_pq(insert_pq(X0,X4),X2),bottom) ),
inference(resolution,[],[f444,f857]) ).
fof(f2142,plain,
! [X2,X3,X0,X1,X4,X5] :
( bottom = removemin_pq_res(insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(X0,X1),X2),X3),X4),X5),bottom)
| ~ contains_pq(insert_pq(insert_pq(X0,X4),X1),bottom) ),
inference(resolution,[],[f444,f868]) ).
fof(f2141,plain,
! [X2,X3,X0,X1,X4] :
( bottom = removemin_pq_res(insert_pq(insert_pq(insert_pq(insert_pq(X0,X1),X2),X3),X4),bottom)
| ~ contains_pq(insert_pq(X0,X3),bottom) ),
inference(resolution,[],[f444,f323]) ).
fof(f2140,plain,
! [X2,X3,X0,X1,X4,X5] :
( bottom = removemin_pq_res(insert_pq(insert_pq(insert_pq(insert_pq(X0,X1),X2),X3),X4),bottom)
| bottom = X5
| ~ contains_pq(X0,bottom) ),
inference(resolution,[],[f444,f1411]) ).
fof(f2139,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] : bottom = removemin_pq_res(insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(X0,bottom),X1),X2),X3),X4),X5),X6),X7),bottom),
inference(resolution,[],[f444,f818]) ).
fof(f2138,plain,
! [X2,X3,X0,X1,X6,X4,X5] : bottom = removemin_pq_res(insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(X0,bottom),X1),X2),X3),X4),X5),X6),bottom),
inference(resolution,[],[f444,f409]) ).
fof(f2137,plain,
! [X2,X3,X0,X1,X4,X5] : bottom = removemin_pq_res(insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(X0,bottom),X1),X2),X3),X4),X5),bottom),
inference(resolution,[],[f444,f357]) ).
fof(f444,plain,
! [X2,X3,X0,X1] :
( ~ contains_pq(insert_pq(X0,X1),bottom)
| bottom = removemin_pq_res(insert_pq(insert_pq(insert_pq(X0,X2),X1),X3),bottom) ),
inference(resolution,[],[f323,f304]) ).
fof(f2132,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ contains_pq(insert_pq(insert_pq(insert_pq(X0,X3),X1),X2),bottom)
| bottom = findmin_pq_res(insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(X0,X1),X2),X4),X3),X5),bottom) ),
inference(superposition,[],[f443,f317]) ).
fof(f2131,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ contains_pq(insert_pq(insert_pq(insert_pq(X0,X2),X3),X1),bottom)
| bottom = findmin_pq_res(insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(X0,X1),X2),X4),X3),X5),bottom) ),
inference(superposition,[],[f443,f317]) ).
fof(f2130,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ contains_pq(insert_pq(insert_pq(insert_pq(X0,X3),X2),X1),bottom)
| bottom = findmin_pq_res(insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(X0,X1),X2),X4),X3),X5),bottom) ),
inference(superposition,[],[f443,f761]) ).
fof(f2129,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ contains_pq(insert_pq(insert_pq(insert_pq(X0,X3),X2),X1),bottom)
| bottom = findmin_pq_res(insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(X0,X1),X2),X4),X3),X5),bottom) ),
inference(superposition,[],[f443,f761]) ).
fof(f2128,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ contains_pq(insert_pq(insert_pq(insert_pq(X0,X2),X1),X3),bottom)
| bottom = findmin_pq_res(insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(X0,X1),X2),X4),X3),X5),bottom) ),
inference(superposition,[],[f443,f766]) ).
fof(f2127,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ contains_pq(insert_pq(insert_pq(insert_pq(X0,X2),X1),X3),bottom)
| bottom = findmin_pq_res(insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(X0,X1),X2),X4),X3),X5),bottom) ),
inference(superposition,[],[f443,f766]) ).
fof(f2126,plain,
! [X2,X3,X0,X1,X4] :
( ~ contains_pq(insert_pq(insert_pq(X0,X2),X1),bottom)
| bottom = findmin_pq_res(insert_pq(insert_pq(insert_pq(insert_pq(X0,X1),X3),X2),X4),bottom) ),
inference(superposition,[],[f443,f186]) ).
fof(f2125,plain,
! [X2,X3,X0,X1,X4] :
( ~ contains_pq(insert_pq(insert_pq(X0,X2),X1),bottom)
| bottom = findmin_pq_res(insert_pq(insert_pq(insert_pq(insert_pq(X0,X1),X3),X2),X4),bottom) ),
inference(superposition,[],[f443,f186]) ).
fof(f2124,plain,
! [X2,X3,X0,X1,X4,X5] :
( bottom = findmin_pq_res(insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(X0,X1),X2),X3),X4),X5),bottom)
| ~ contains_pq(insert_pq(insert_pq(X0,X2),X4),bottom) ),
inference(resolution,[],[f443,f448]) ).
fof(f2123,plain,
! [X2,X3,X0,X1,X4,X5] :
( bottom = findmin_pq_res(insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(X0,X1),X2),X3),X4),X5),bottom)
| ~ contains_pq(insert_pq(insert_pq(X0,X2),X1),bottom) ),
inference(resolution,[],[f443,f801]) ).
fof(f2122,plain,
! [X2,X3,X0,X1,X4,X5] :
( bottom = findmin_pq_res(insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(X0,X1),X2),X3),X4),X5),bottom)
| ~ contains_pq(insert_pq(insert_pq(X0,X4),X2),bottom) ),
inference(resolution,[],[f443,f857]) ).
fof(f2121,plain,
! [X2,X3,X0,X1,X4,X5] :
( bottom = findmin_pq_res(insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(X0,X1),X2),X3),X4),X5),bottom)
| ~ contains_pq(insert_pq(insert_pq(X0,X4),X1),bottom) ),
inference(resolution,[],[f443,f868]) ).
fof(f2120,plain,
! [X2,X3,X0,X1,X4] :
( bottom = findmin_pq_res(insert_pq(insert_pq(insert_pq(insert_pq(X0,X1),X2),X3),X4),bottom)
| ~ contains_pq(insert_pq(X0,X3),bottom) ),
inference(resolution,[],[f443,f323]) ).
fof(f2119,plain,
! [X2,X3,X0,X1,X4,X5] :
( bottom = findmin_pq_res(insert_pq(insert_pq(insert_pq(insert_pq(X0,X1),X2),X3),X4),bottom)
| bottom = X5
| ~ contains_pq(X0,bottom) ),
inference(resolution,[],[f443,f1411]) ).
fof(f2118,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] : bottom = findmin_pq_res(insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(X0,bottom),X1),X2),X3),X4),X5),X6),X7),bottom),
inference(resolution,[],[f443,f818]) ).
fof(f2117,plain,
! [X2,X3,X0,X1,X6,X4,X5] : bottom = findmin_pq_res(insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(X0,bottom),X1),X2),X3),X4),X5),X6),bottom),
inference(resolution,[],[f443,f409]) ).
fof(f2116,plain,
! [X2,X3,X0,X1,X4,X5] : bottom = findmin_pq_res(insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(X0,bottom),X1),X2),X3),X4),X5),bottom),
inference(resolution,[],[f443,f357]) ).
fof(f443,plain,
! [X2,X3,X0,X1] :
( ~ contains_pq(insert_pq(X0,X1),bottom)
| bottom = findmin_pq_res(insert_pq(insert_pq(insert_pq(X0,X2),X1),X3),bottom) ),
inference(resolution,[],[f323,f311]) ).
fof(f2110,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ less_than(X2,findmin_pqp_res(X1))
| findmin_cpq_eff(triple(X1,insert_slb(insert_slb(X0,pair(findmin_pqp_res(X1),X2)),pair(X3,X4)),X5)) = triple(X1,update_slb(insert_slb(insert_slb(X0,pair(findmin_pqp_res(X1),X2)),pair(X3,X4)),findmin_pqp_res(X1)),X5)
| ~ contains_slb(insert_slb(insert_slb(X0,pair(findmin_pqp_res(X1),X2)),pair(X3,X4)),findmin_pqp_res(X1))
| create_slb = insert_slb(insert_slb(X0,pair(findmin_pqp_res(X1),X2)),pair(X3,X4))
| findmin_pqp_res(X1) = X3 ),
inference(superposition,[],[f204,f1341]) ).
fof(f2111,plain,
! [X2,X3,X0,X1] :
( ~ less_than(X2,findmin_pqp_res(X1))
| findmin_cpq_eff(triple(X1,insert_slb(X0,pair(findmin_pqp_res(X1),X2)),X3)) = triple(X1,update_slb(insert_slb(X0,pair(findmin_pqp_res(X1),X2)),findmin_pqp_res(X1)),X3)
| create_slb = insert_slb(X0,pair(findmin_pqp_res(X1),X2)) ),
inference(subsumption_resolution,[],[f2109,f221]) ).
fof(f2109,plain,
! [X2,X3,X0,X1] :
( ~ less_than(X2,findmin_pqp_res(X1))
| findmin_cpq_eff(triple(X1,insert_slb(X0,pair(findmin_pqp_res(X1),X2)),X3)) = triple(X1,update_slb(insert_slb(X0,pair(findmin_pqp_res(X1),X2)),findmin_pqp_res(X1)),X3)
| ~ contains_slb(insert_slb(X0,pair(findmin_pqp_res(X1),X2)),findmin_pqp_res(X1))
| create_slb = insert_slb(X0,pair(findmin_pqp_res(X1),X2)) ),
inference(superposition,[],[f204,f185]) ).
fof(f2108,plain,
! [X2,X3,X0,X1] :
( findmin_cpq_eff(triple(X0,X1,X2)) = triple(X0,update_slb(X1,findmin_pqp_res(X0)),X2)
| ~ contains_slb(X1,findmin_pqp_res(X0))
| create_slb = X1
| issmallestelement_pq(i(X3),findmin_pqp_res(X0))
| less_than(sK3(X3),lookup_slb(X1,findmin_pqp_res(X0)))
| ~ pi_find_min(X3) ),
inference(resolution,[],[f204,f674]) ).
fof(f2107,plain,
! [X2,X3,X0,X1,X4,X5] :
( findmin_cpq_eff(triple(X0,X1,X2)) = triple(X0,update_slb(X1,findmin_pqp_res(X0)),X2)
| ~ contains_slb(X1,findmin_pqp_res(X0))
| create_slb = X1
| less_than(findmin_pqp_res(X0),X3)
| less_than(X3,X4)
| less_than(X4,X5)
| less_than(X5,lookup_slb(X1,findmin_pqp_res(X0))) ),
inference(resolution,[],[f204,f476]) ).
fof(f2106,plain,
! [X2,X3,X0,X1,X4,X5] :
( findmin_cpq_eff(triple(X0,X1,X2)) = triple(X0,update_slb(X1,findmin_pqp_res(X0)),X2)
| ~ contains_slb(X1,findmin_pqp_res(X0))
| create_slb = X1
| less_than(X3,X4)
| less_than(X4,X5)
| less_than(X5,lookup_slb(X1,findmin_pqp_res(X0)))
| less_than(findmin_pqp_res(X0),X3) ),
inference(resolution,[],[f204,f476]) ).
fof(f2105,plain,
! [X2,X3,X0,X1,X4,X5] :
( findmin_cpq_eff(triple(X0,X1,X2)) = triple(X0,update_slb(X1,findmin_pqp_res(X0)),X2)
| ~ contains_slb(X1,findmin_pqp_res(X0))
| create_slb = X1
| less_than(X3,X4)
| less_than(X4,lookup_slb(X1,findmin_pqp_res(X0)))
| less_than(findmin_pqp_res(X0),X5)
| less_than(X5,X3) ),
inference(resolution,[],[f204,f476]) ).
fof(f2104,plain,
! [X2,X3,X0,X1,X4,X5] :
( findmin_cpq_eff(triple(X0,X1,X2)) = triple(X0,update_slb(X1,findmin_pqp_res(X0)),X2)
| ~ contains_slb(X1,findmin_pqp_res(X0))
| create_slb = X1
| less_than(X3,lookup_slb(X1,findmin_pqp_res(X0)))
| less_than(findmin_pqp_res(X0),X4)
| less_than(X4,X5)
| less_than(X5,X3) ),
inference(resolution,[],[f204,f476]) ).
fof(f2103,plain,
! [X2,X3,X0,X1,X4,X5] :
( findmin_cpq_eff(triple(X0,X1,X2)) = triple(X0,update_slb(X1,findmin_pqp_res(X0)),X2)
| ~ contains_slb(X1,findmin_pqp_res(X0))
| create_slb = X1
| less_than(findmin_pqp_res(X0),X3)
| less_than(X3,X4)
| less_than(X4,X5)
| less_than(X5,lookup_slb(X1,findmin_pqp_res(X0))) ),
inference(resolution,[],[f204,f476]) ).
fof(f2102,plain,
! [X2,X3,X0,X1,X4] :
( findmin_cpq_eff(triple(X0,X1,X2)) = triple(X0,update_slb(X1,findmin_pqp_res(X0)),X2)
| ~ contains_slb(X1,findmin_pqp_res(X0))
| create_slb = X1
| less_than(sK5(X3,X4),lookup_slb(X1,findmin_pqp_res(X0)))
| less_than(findmin_pqp_res(X0),X4)
| issmallestelement_pq(X3,X4) ),
inference(resolution,[],[f204,f380]) ).
fof(f2101,plain,
! [X2,X3,X0,X1,X4] :
( findmin_cpq_eff(triple(X0,X1,X2)) = triple(X0,update_slb(X1,findmin_pqp_res(X0)),X2)
| ~ contains_slb(X1,findmin_pqp_res(X0))
| create_slb = X1
| less_than(sK5(X3,findmin_pqp_res(X0)),X4)
| less_than(X4,lookup_slb(X1,findmin_pqp_res(X0)))
| issmallestelement_pq(X3,findmin_pqp_res(X0)) ),
inference(resolution,[],[f204,f380]) ).
fof(f2100,plain,
! [X2,X3,X0,X1,X4] :
( findmin_cpq_eff(triple(X0,X1,X2)) = triple(X0,update_slb(X1,findmin_pqp_res(X0)),X2)
| ~ contains_slb(X1,findmin_pqp_res(X0))
| create_slb = X1
| less_than(findmin_pqp_res(X0),X3)
| less_than(X3,X4)
| less_than(X4,lookup_slb(X1,findmin_pqp_res(X0))) ),
inference(resolution,[],[f204,f268]) ).
fof(f2099,plain,
! [X2,X3,X0,X1,X4] :
( findmin_cpq_eff(triple(X0,X1,X2)) = triple(X0,update_slb(X1,findmin_pqp_res(X0)),X2)
| ~ contains_slb(X1,findmin_pqp_res(X0))
| create_slb = X1
| less_than(X3,X4)
| less_than(X4,lookup_slb(X1,findmin_pqp_res(X0)))
| less_than(findmin_pqp_res(X0),X3) ),
inference(resolution,[],[f204,f268]) ).
fof(f2098,plain,
! [X2,X3,X0,X1,X4] :
( findmin_cpq_eff(triple(X0,X1,X2)) = triple(X0,update_slb(X1,findmin_pqp_res(X0)),X2)
| ~ contains_slb(X1,findmin_pqp_res(X0))
| create_slb = X1
| less_than(X3,lookup_slb(X1,findmin_pqp_res(X0)))
| less_than(findmin_pqp_res(X0),X4)
| less_than(X4,X3) ),
inference(resolution,[],[f204,f268]) ).
fof(f2097,plain,
! [X2,X3,X0,X1,X4] :
( findmin_cpq_eff(triple(X0,X1,X2)) = triple(X0,update_slb(X1,findmin_pqp_res(X0)),X2)
| ~ contains_slb(X1,findmin_pqp_res(X0))
| create_slb = X1
| less_than(findmin_pqp_res(X0),X3)
| less_than(X3,X4)
| less_than(X4,lookup_slb(X1,findmin_pqp_res(X0))) ),
inference(resolution,[],[f204,f268]) ).
fof(f2096,plain,
! [X2,X3,X0,X1] :
( findmin_cpq_eff(triple(X0,X1,X2)) = triple(X0,update_slb(X1,findmin_pqp_res(X0)),X2)
| ~ contains_slb(X1,findmin_pqp_res(X0))
| create_slb = X1
| less_than(findmin_pqp_res(X0),X3)
| less_than(X3,lookup_slb(X1,findmin_pqp_res(X0))) ),
inference(resolution,[],[f204,f264]) ).
fof(f2095,plain,
! [X2,X3,X0,X1] :
( findmin_cpq_eff(triple(X0,X1,X2)) = triple(X0,update_slb(X1,findmin_pqp_res(X0)),X2)
| ~ contains_slb(X1,findmin_pqp_res(X0))
| create_slb = X1
| less_than(X3,lookup_slb(X1,findmin_pqp_res(X0)))
| less_than(findmin_pqp_res(X0),X3) ),
inference(resolution,[],[f204,f264]) ).
fof(f2094,plain,
! [X2,X3,X0,X1] :
( findmin_cpq_eff(triple(X0,X1,X2)) = triple(X0,update_slb(X1,findmin_pqp_res(X0)),X2)
| ~ contains_slb(X1,findmin_pqp_res(X0))
| create_slb = X1
| less_than(findmin_pqp_res(X0),X3)
| less_than(X3,lookup_slb(X1,findmin_pqp_res(X0))) ),
inference(resolution,[],[f204,f264]) ).
fof(f2093,plain,
! [X2,X0,X1] :
( findmin_cpq_eff(triple(X0,X1,X2)) = triple(X0,update_slb(X1,findmin_pqp_res(X0)),X2)
| ~ contains_slb(X1,findmin_pqp_res(X0))
| create_slb = X1
| less_than(findmin_pqp_res(X0),lookup_slb(X1,findmin_pqp_res(X0))) ),
inference(resolution,[],[f204,f168]) ).
fof(f2092,plain,
! [X2,X0,X1] :
( findmin_cpq_eff(triple(X0,X1,X2)) = triple(X0,update_slb(X1,findmin_pqp_res(X0)),X2)
| ~ contains_slb(X1,findmin_pqp_res(X0))
| create_slb = X1
| less_than(findmin_pqp_res(X0),lookup_slb(X1,findmin_pqp_res(X0))) ),
inference(resolution,[],[f204,f168]) ).
fof(f204,plain,
! [X2,X0,X1] :
( ~ less_than(lookup_slb(X1,findmin_pqp_res(X0)),findmin_pqp_res(X0))
| findmin_cpq_eff(triple(X0,X1,X2)) = triple(X0,update_slb(X1,findmin_pqp_res(X0)),X2)
| ~ contains_slb(X1,findmin_pqp_res(X0))
| create_slb = X1 ),
inference(cnf_transformation,[],[f113]) ).
fof(f113,plain,
! [X0,X1,X2] :
( findmin_cpq_eff(triple(X0,X1,X2)) = triple(X0,update_slb(X1,findmin_pqp_res(X0)),X2)
| ~ less_than(lookup_slb(X1,findmin_pqp_res(X0)),findmin_pqp_res(X0))
| ~ contains_slb(X1,findmin_pqp_res(X0))
| create_slb = X1 ),
inference(flattening,[],[f112]) ).
fof(f112,plain,
! [X0,X1,X2] :
( findmin_cpq_eff(triple(X0,X1,X2)) = triple(X0,update_slb(X1,findmin_pqp_res(X0)),X2)
| ~ less_than(lookup_slb(X1,findmin_pqp_res(X0)),findmin_pqp_res(X0))
| ~ contains_slb(X1,findmin_pqp_res(X0))
| create_slb = X1 ),
inference(ennf_transformation,[],[f71]) ).
fof(f71,plain,
! [X0,X1,X2] :
( ( less_than(lookup_slb(X1,findmin_pqp_res(X0)),findmin_pqp_res(X0))
& contains_slb(X1,findmin_pqp_res(X0))
& create_slb != X1 )
=> findmin_cpq_eff(triple(X0,X1,X2)) = triple(X0,update_slb(X1,findmin_pqp_res(X0)),X2) ),
inference(rectify,[],[f49]) ).
fof(f49,axiom,
! [X0,X1,X2,X3] :
( ( less_than(lookup_slb(X1,findmin_pqp_res(X0)),findmin_pqp_res(X0))
& contains_slb(X1,findmin_pqp_res(X0))
& create_slb != X1 )
=> findmin_cpq_eff(triple(X0,X1,X2)) = triple(X0,update_slb(X1,findmin_pqp_res(X0)),X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax49) ).
fof(f2091,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ strictly_less_than(findmin_pqp_res(X1),X2)
| findmin_cpq_eff(triple(X1,insert_slb(insert_slb(X0,pair(findmin_pqp_res(X1),X2)),pair(X3,X4)),X5)) = triple(X1,update_slb(insert_slb(insert_slb(X0,pair(findmin_pqp_res(X1),X2)),pair(X3,X4)),findmin_pqp_res(X1)),bad)
| create_slb = insert_slb(insert_slb(X0,pair(findmin_pqp_res(X1),X2)),pair(X3,X4))
| findmin_pqp_res(X1) = X3 ),
inference(superposition,[],[f1892,f1341]) ).
fof(f2090,plain,
! [X2,X3,X0,X1] :
( ~ strictly_less_than(findmin_pqp_res(X1),X2)
| findmin_cpq_eff(triple(X1,insert_slb(X0,pair(findmin_pqp_res(X1),X2)),X3)) = triple(X1,update_slb(insert_slb(X0,pair(findmin_pqp_res(X1),X2)),findmin_pqp_res(X1)),bad)
| create_slb = insert_slb(X0,pair(findmin_pqp_res(X1),X2)) ),
inference(superposition,[],[f1892,f185]) ).
fof(f2089,plain,
! [X2,X0,X1] :
( findmin_cpq_eff(triple(X0,X1,X2)) = triple(X0,update_slb(X1,findmin_pqp_res(X0)),bad)
| create_slb = X1
| less_than(lookup_slb(X1,findmin_pqp_res(X0)),findmin_pqp_res(X0)) ),
inference(resolution,[],[f1892,f245]) ).
fof(f1892,plain,
! [X2,X0,X1] :
( ~ strictly_less_than(findmin_pqp_res(X0),lookup_slb(X1,findmin_pqp_res(X0)))
| findmin_cpq_eff(triple(X0,X1,X2)) = triple(X0,update_slb(X1,findmin_pqp_res(X0)),bad)
| create_slb = X1 ),
inference(subsumption_resolution,[],[f203,f202]) ).
fof(f2085,plain,
! [X2,X3,X0,X1,X4] :
( less_than(sK5(X0,X1),X2)
| issmallestelement_pq(X0,X1)
| issmallestelement_pq(X3,X2)
| less_than(X4,X1)
| ~ less_than(X4,sK5(X3,X2)) ),
inference(resolution,[],[f387,f191]) ).
fof(f2084,plain,
! [X2,X3,X0,X1,X4] :
( less_than(sK5(X0,X1),X2)
| issmallestelement_pq(X0,X1)
| issmallestelement_pq(X3,X2)
| less_than(sK5(X3,X2),X4)
| less_than(X4,X1) ),
inference(resolution,[],[f387,f253]) ).
fof(f2083,plain,
! [X2,X3,X0,X1,X4,X5] :
( less_than(sK5(X0,X1),X2)
| issmallestelement_pq(X0,X1)
| issmallestelement_pq(X3,X2)
| less_than(X4,X1)
| less_than(sK5(X3,X2),X5)
| less_than(X5,X4) ),
inference(resolution,[],[f387,f269]) ).
fof(f2082,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( less_than(sK5(X0,X1),X2)
| issmallestelement_pq(X0,X1)
| issmallestelement_pq(X3,X2)
| less_than(X4,X5)
| less_than(X5,X1)
| less_than(sK5(X3,X2),X6)
| less_than(X6,X4) ),
inference(resolution,[],[f387,f477]) ).
fof(f2081,plain,
! [X2,X3,X0,X1,X4,X5] :
( less_than(sK5(X0,X1),X2)
| issmallestelement_pq(X0,X1)
| issmallestelement_pq(X3,X2)
| update_slb(insert_slb(X4,pair(X5,X1)),sK5(X3,X2)) = insert_slb(update_slb(X4,sK5(X3,X2)),pair(X5,X1)) ),
inference(resolution,[],[f387,f199]) ).
fof(f2080,plain,
! [X2,X3,X0,X1,X4] :
( less_than(sK5(X0,sK5(X1,X2)),X3)
| issmallestelement_pq(X0,sK5(X1,X2))
| issmallestelement_pq(X4,X3)
| less_than(sK5(X4,X3),X2)
| issmallestelement_pq(X1,X2) ),
inference(resolution,[],[f387,f255]) ).
fof(f2079,plain,
! [X2,X3,X0,X1,X4,X5] :
( less_than(sK5(X0,sK5(X1,X2)),X3)
| issmallestelement_pq(X0,sK5(X1,X2))
| issmallestelement_pq(X4,X3)
| issmallestelement_pq(X1,X2)
| less_than(sK5(X4,X3),X5)
| less_than(X5,X2) ),
inference(resolution,[],[f387,f389]) ).
fof(f2078,plain,
! [X2,X3,X0,X1] :
( less_than(sK5(X0,sK5(X1,sK5(X2,X3))),X3)
| issmallestelement_pq(X0,sK5(X1,sK5(X2,X3)))
| issmallestelement_pq(X2,X3)
| issmallestelement_pq(X1,sK5(X2,X3)) ),
inference(resolution,[],[f387,f178]) ).
fof(f2076,plain,
! [X2,X3,X0,X1,X4] :
( less_than(sK5(X0,X1),X2)
| issmallestelement_pq(X3,X2)
| issmallestelement_pq(X0,X1)
| less_than(X4,X1)
| ~ less_than(X4,sK5(X3,X2)) ),
inference(resolution,[],[f387,f191]) ).
fof(f2075,plain,
! [X2,X3,X0,X1,X4] :
( less_than(sK5(X0,X1),X2)
| issmallestelement_pq(X3,X2)
| issmallestelement_pq(X0,X1)
| less_than(sK5(X3,X2),X4)
| less_than(X4,X1) ),
inference(resolution,[],[f387,f253]) ).
fof(f2074,plain,
! [X2,X3,X0,X1,X4,X5] :
( less_than(sK5(X0,X1),X2)
| issmallestelement_pq(X3,X2)
| issmallestelement_pq(X0,X1)
| less_than(X4,X1)
| less_than(sK5(X3,X2),X5)
| less_than(X5,X4) ),
inference(resolution,[],[f387,f269]) ).
fof(f2073,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( less_than(sK5(X0,X1),X2)
| issmallestelement_pq(X3,X2)
| issmallestelement_pq(X0,X1)
| less_than(X4,X5)
| less_than(X5,X1)
| less_than(sK5(X3,X2),X6)
| less_than(X6,X4) ),
inference(resolution,[],[f387,f477]) ).
fof(f2072,plain,
! [X2,X3,X0,X1,X4,X5] :
( less_than(sK5(X0,X1),X2)
| issmallestelement_pq(X3,X2)
| issmallestelement_pq(X0,X1)
| update_slb(insert_slb(X4,pair(X5,X1)),sK5(X3,X2)) = insert_slb(update_slb(X4,sK5(X3,X2)),pair(X5,X1)) ),
inference(resolution,[],[f387,f199]) ).
fof(f2071,plain,
! [X2,X3,X0,X1,X4] :
( less_than(sK5(X0,sK5(X1,X2)),X3)
| issmallestelement_pq(X4,X3)
| issmallestelement_pq(X0,sK5(X1,X2))
| less_than(sK5(X4,X3),X2)
| issmallestelement_pq(X1,X2) ),
inference(resolution,[],[f387,f255]) ).
fof(f2070,plain,
! [X2,X3,X0,X1,X4,X5] :
( less_than(sK5(X0,sK5(X1,X2)),X3)
| issmallestelement_pq(X4,X3)
| issmallestelement_pq(X0,sK5(X1,X2))
| issmallestelement_pq(X1,X2)
| less_than(sK5(X4,X3),X5)
| less_than(X5,X2) ),
inference(resolution,[],[f387,f389]) ).
fof(f2069,plain,
! [X2,X3,X0,X1] :
( less_than(sK5(X0,sK5(X1,sK5(X2,X3))),X3)
| issmallestelement_pq(X2,X3)
| issmallestelement_pq(X0,sK5(X1,sK5(X2,X3)))
| issmallestelement_pq(X1,sK5(X2,X3)) ),
inference(resolution,[],[f387,f178]) ).
fof(f387,plain,
! [X2,X3,X0,X1] :
( less_than(sK5(X3,X2),X1)
| less_than(sK5(X0,X1),X2)
| issmallestelement_pq(X3,X2)
| issmallestelement_pq(X0,X1) ),
inference(resolution,[],[f266,f255]) ).
fof(f2060,plain,
! [X2,X3,X0,X1,X4,X5] :
( contains_pq(insert_pq(insert_pq(insert_pq(insert_pq(X0,X3),X1),X2),X4),X5)
| ~ contains_pq(insert_pq(insert_pq(insert_pq(X0,X1),X4),X2),X5) ),
inference(superposition,[],[f868,f317]) ).
fof(f2059,plain,
! [X2,X3,X0,X1,X4,X5] :
( contains_pq(insert_pq(insert_pq(insert_pq(insert_pq(X0,X2),X3),X1),X4),X5)
| ~ contains_pq(insert_pq(insert_pq(insert_pq(X0,X1),X4),X2),X5) ),
inference(superposition,[],[f868,f317]) ).
fof(f2058,plain,
! [X2,X3,X0,X1,X4,X5] :
( contains_pq(insert_pq(insert_pq(insert_pq(insert_pq(X0,X3),X2),X1),X4),X5)
| ~ contains_pq(insert_pq(insert_pq(insert_pq(X0,X1),X4),X2),X5) ),
inference(superposition,[],[f868,f761]) ).
fof(f2057,plain,
! [X2,X3,X0,X1,X4,X5] :
( contains_pq(insert_pq(insert_pq(insert_pq(insert_pq(X0,X3),X2),X1),X4),X5)
| ~ contains_pq(insert_pq(insert_pq(insert_pq(X0,X1),X4),X2),X5) ),
inference(superposition,[],[f868,f761]) ).
fof(f2056,plain,
! [X2,X3,X0,X1,X4,X5] :
( contains_pq(insert_pq(insert_pq(insert_pq(insert_pq(X0,X2),X1),X3),X4),X5)
| ~ contains_pq(insert_pq(insert_pq(insert_pq(X0,X1),X4),X2),X5) ),
inference(superposition,[],[f868,f766]) ).
fof(f2055,plain,
! [X2,X3,X0,X1,X4,X5] :
( contains_pq(insert_pq(insert_pq(insert_pq(insert_pq(X0,X2),X1),X3),X4),X5)
| ~ contains_pq(insert_pq(insert_pq(insert_pq(X0,X1),X4),X2),X5) ),
inference(superposition,[],[f868,f766]) ).
fof(f2052,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( contains_pq(insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(X0,X3),X1),X2),X4),X5),X6)
| ~ contains_pq(insert_pq(insert_pq(insert_pq(insert_pq(X0,X1),X2),X5),X3),X6) ),
inference(superposition,[],[f868,f317]) ).
fof(f2051,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( contains_pq(insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(X0,X2),X3),X1),X4),X5),X6)
| ~ contains_pq(insert_pq(insert_pq(insert_pq(insert_pq(X0,X1),X2),X5),X3),X6) ),
inference(superposition,[],[f868,f317]) ).
fof(f2050,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( contains_pq(insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(X0,X3),X2),X1),X4),X5),X6)
| ~ contains_pq(insert_pq(insert_pq(insert_pq(insert_pq(X0,X1),X2),X5),X3),X6) ),
inference(superposition,[],[f868,f761]) ).
fof(f2049,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( contains_pq(insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(X0,X3),X2),X1),X4),X5),X6)
| ~ contains_pq(insert_pq(insert_pq(insert_pq(insert_pq(X0,X1),X2),X5),X3),X6) ),
inference(superposition,[],[f868,f761]) ).
fof(f2048,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( contains_pq(insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(X0,X2),X1),X3),X4),X5),X6)
| ~ contains_pq(insert_pq(insert_pq(insert_pq(insert_pq(X0,X1),X2),X5),X3),X6) ),
inference(superposition,[],[f868,f766]) ).
fof(f2047,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( contains_pq(insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(X0,X2),X1),X3),X4),X5),X6)
| ~ contains_pq(insert_pq(insert_pq(insert_pq(insert_pq(X0,X1),X2),X5),X3),X6) ),
inference(superposition,[],[f868,f766]) ).
fof(f2046,plain,
! [X2,X3,X0,X1,X4,X5] :
( contains_pq(insert_pq(insert_pq(insert_pq(insert_pq(X0,X2),X1),X3),X4),X5)
| ~ contains_pq(insert_pq(insert_pq(insert_pq(X0,X1),X4),X2),X5) ),
inference(superposition,[],[f868,f186]) ).
fof(f2045,plain,
! [X2,X3,X0,X1,X4,X5] :
( contains_pq(insert_pq(insert_pq(insert_pq(insert_pq(X0,X2),X1),X3),X4),X5)
| ~ contains_pq(insert_pq(insert_pq(insert_pq(X0,X1),X4),X2),X5) ),
inference(superposition,[],[f868,f186]) ).
fof(f2044,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ contains_pq(insert_pq(insert_pq(X0,X1),X2),X3)
| X3 = X4
| remove_pq(insert_pq(insert_pq(insert_pq(insert_pq(X0,X2),X5),X1),X4),X3) = insert_pq(remove_pq(insert_pq(insert_pq(insert_pq(X0,X2),X5),X1),X3),X4) ),
inference(resolution,[],[f868,f190]) ).
fof(f2043,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ contains_pq(insert_pq(insert_pq(X0,X1),X2),bottom)
| bottom = findmin_pq_res(insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(X0,X2),X3),X1),X4),X5),X6),bottom) ),
inference(resolution,[],[f868,f530]) ).
fof(f2042,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ contains_pq(insert_pq(insert_pq(X0,X1),X2),bottom)
| bottom = removemin_pq_res(insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(X0,X2),X3),X1),X4),X5),X6),bottom) ),
inference(resolution,[],[f868,f524]) ).
fof(f2041,plain,
! [X2,X3,X0,X1,X4] :
( ~ contains_pq(insert_pq(insert_pq(X0,X1),X2),bottom)
| removemin_pq_eff(insert_pq(insert_pq(insert_pq(insert_pq(X0,X2),X3),X1),X4),bottom) = remove_pq(insert_pq(insert_pq(insert_pq(insert_pq(X0,X2),X3),X1),X4),bottom) ),
inference(resolution,[],[f868,f461]) ).
fof(f2040,plain,
! [X2,X3,X0,X1] :
( ~ contains_pq(insert_pq(insert_pq(X0,X1),X2),bottom)
| removemin_pq_eff(insert_pq(insert_pq(insert_pq(X0,X2),X3),X1),bottom) = remove_pq(insert_pq(insert_pq(insert_pq(X0,X2),X3),X1),bottom) ),
inference(resolution,[],[f868,f458]) ).
fof(f2039,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ contains_pq(insert_pq(insert_pq(X0,X1),X2),bottom)
| bottom = findmin_pq_res(insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(X0,X2),X3),X1),X4),X5),bottom) ),
inference(resolution,[],[f868,f316]) ).
fof(f2038,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ contains_pq(insert_pq(insert_pq(X0,X1),X2),bottom)
| bottom = removemin_pq_res(insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(X0,X2),X3),X1),X4),X5),bottom) ),
inference(resolution,[],[f868,f314]) ).
fof(f2037,plain,
! [X2,X3,X0,X1,X4] :
( ~ contains_pq(insert_pq(insert_pq(X0,X1),X2),bottom)
| bottom = findmin_pq_res(insert_pq(insert_pq(insert_pq(insert_pq(X0,X2),X3),X1),X4),bottom) ),
inference(resolution,[],[f868,f311]) ).
fof(f2036,plain,
! [X2,X3,X0,X1] :
( ~ contains_pq(insert_pq(insert_pq(X0,X1),X2),bottom)
| bottom = findmin_pq_res(insert_pq(insert_pq(insert_pq(X0,X2),X3),X1),bottom) ),
inference(resolution,[],[f868,f308]) ).
fof(f2035,plain,
! [X2,X3,X0,X1,X4] :
( ~ contains_pq(insert_pq(insert_pq(X0,X1),X2),bottom)
| bottom = removemin_pq_res(insert_pq(insert_pq(insert_pq(insert_pq(X0,X2),X3),X1),X4),bottom) ),
inference(resolution,[],[f868,f304]) ).
fof(f2034,plain,
! [X2,X3,X0,X1] :
( ~ contains_pq(insert_pq(insert_pq(X0,X1),X2),bottom)
| bottom = removemin_pq_res(insert_pq(insert_pq(insert_pq(X0,X2),X3),X1),bottom) ),
inference(resolution,[],[f868,f301]) ).
fof(f2033,plain,
! [X2,X3,X0,X1,X4] :
( ~ contains_pq(insert_pq(insert_pq(X0,X1),X2),bottom)
| insert_pq(insert_pq(insert_pq(insert_pq(X0,X2),X3),X1),X4) = findmin_pq_eff(insert_pq(insert_pq(insert_pq(insert_pq(X0,X2),X3),X1),X4),bottom) ),
inference(resolution,[],[f868,f297]) ).
fof(f2032,plain,
! [X2,X3,X0,X1] :
( ~ contains_pq(insert_pq(insert_pq(X0,X1),X2),bottom)
| insert_pq(insert_pq(insert_pq(X0,X2),X3),X1) = findmin_pq_eff(insert_pq(insert_pq(insert_pq(X0,X2),X3),X1),bottom) ),
inference(resolution,[],[f868,f294]) ).
fof(f2031,plain,
! [X2,X3,X0,X1,X4] :
( ~ contains_pq(insert_pq(insert_pq(X0,X1),X2),bottom)
| bottom = findmin_pq_res(insert_pq(insert_pq(insert_pq(insert_pq(X0,X2),X3),X4),X1),bottom) ),
inference(resolution,[],[f868,f445]) ).
fof(f2030,plain,
! [X2,X3,X0,X1,X4] :
( ~ contains_pq(insert_pq(insert_pq(X0,X1),X2),bottom)
| bottom = removemin_pq_res(insert_pq(insert_pq(insert_pq(insert_pq(X0,X2),X3),X4),X1),bottom) ),
inference(resolution,[],[f868,f446]) ).
fof(f2029,plain,
! [X2,X3,X0,X1,X4] :
( ~ contains_pq(insert_pq(insert_pq(X0,X1),X2),X3)
| contains_pq(insert_pq(insert_pq(X0,X2),X4),X3)
| X1 = X3 ),
inference(resolution,[],[f868,f192]) ).
fof(f2028,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ contains_pq(insert_pq(insert_pq(X0,X1),X2),X3)
| contains_pq(insert_pq(insert_pq(insert_pq(X0,X2),X4),X5),X3)
| X1 = X3 ),
inference(resolution,[],[f868,f442]) ).
fof(f2027,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ contains_pq(insert_pq(insert_pq(X0,X1),X2),X3)
| X1 = X3
| contains_pq(insert_pq(insert_pq(insert_pq(insert_pq(X0,X2),X4),X5),X6),X3) ),
inference(resolution,[],[f868,f548]) ).
fof(f2026,plain,
! [X2,X3,X0,X1,X4] :
( ~ contains_pq(insert_pq(insert_pq(X0,X1),X2),X3)
| contains_pq(insert_pq(insert_pq(X0,X2),X1),X3)
| X3 = X4 ),
inference(resolution,[],[f868,f368]) ).
fof(f868,plain,
! [X2,X3,X0,X1,X4] :
( contains_pq(insert_pq(insert_pq(insert_pq(X0,X2),X3),X1),X4)
| ~ contains_pq(insert_pq(insert_pq(X0,X1),X2),X4) ),
inference(superposition,[],[f193,f317]) ).
fof(f2019,plain,
! [X2,X3,X0,X1,X4] :
( contains_pq(insert_pq(insert_pq(insert_pq(X0,X2),X1),X3),X4)
| ~ contains_pq(insert_pq(insert_pq(X0,X3),X2),X4) ),
inference(superposition,[],[f857,f766]) ).
fof(f2018,plain,
! [X2,X3,X0,X1,X4] :
( contains_pq(insert_pq(insert_pq(insert_pq(X0,X2),X1),X3),X4)
| ~ contains_pq(insert_pq(insert_pq(X0,X3),X2),X4) ),
inference(superposition,[],[f857,f766]) ).
fof(f2017,plain,
! [X2,X3,X0,X1,X4,X5] :
( contains_pq(insert_pq(insert_pq(insert_pq(insert_pq(X0,X3),X1),X2),X4),X5)
| ~ contains_pq(insert_pq(insert_pq(insert_pq(X0,X1),X4),X3),X5) ),
inference(superposition,[],[f857,f317]) ).
fof(f2016,plain,
! [X2,X3,X0,X1,X4,X5] :
( contains_pq(insert_pq(insert_pq(insert_pq(insert_pq(X0,X2),X3),X1),X4),X5)
| ~ contains_pq(insert_pq(insert_pq(insert_pq(X0,X1),X4),X3),X5) ),
inference(superposition,[],[f857,f317]) ).
fof(f2015,plain,
! [X2,X3,X0,X1,X4,X5] :
( contains_pq(insert_pq(insert_pq(insert_pq(insert_pq(X0,X3),X2),X1),X4),X5)
| ~ contains_pq(insert_pq(insert_pq(insert_pq(X0,X1),X4),X3),X5) ),
inference(superposition,[],[f857,f761]) ).
fof(f2014,plain,
! [X2,X3,X0,X1,X4,X5] :
( contains_pq(insert_pq(insert_pq(insert_pq(insert_pq(X0,X3),X2),X1),X4),X5)
| ~ contains_pq(insert_pq(insert_pq(insert_pq(X0,X1),X4),X3),X5) ),
inference(superposition,[],[f857,f761]) ).
fof(f2013,plain,
! [X2,X3,X0,X1,X4,X5] :
( contains_pq(insert_pq(insert_pq(insert_pq(insert_pq(X0,X2),X1),X3),X4),X5)
| ~ contains_pq(insert_pq(insert_pq(insert_pq(X0,X1),X4),X3),X5) ),
inference(superposition,[],[f857,f766]) ).
fof(f2012,plain,
! [X2,X3,X0,X1,X4,X5] :
( contains_pq(insert_pq(insert_pq(insert_pq(insert_pq(X0,X2),X1),X3),X4),X5)
| ~ contains_pq(insert_pq(insert_pq(insert_pq(X0,X1),X4),X3),X5) ),
inference(superposition,[],[f857,f766]) ).
fof(f2011,plain,
! [X2,X3,X0,X1,X4] :
( contains_pq(insert_pq(insert_pq(insert_pq(X0,X2),X1),X3),X4)
| ~ contains_pq(insert_pq(insert_pq(X0,X3),X2),X4) ),
inference(superposition,[],[f857,f186]) ).
fof(f2010,plain,
! [X2,X3,X0,X1,X4] :
( contains_pq(insert_pq(insert_pq(insert_pq(X0,X2),X1),X3),X4)
| ~ contains_pq(insert_pq(insert_pq(X0,X3),X2),X4) ),
inference(superposition,[],[f857,f186]) ).
fof(f2009,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( contains_pq(insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(X0,X3),X1),X2),X4),X5),X6)
| ~ contains_pq(insert_pq(insert_pq(insert_pq(insert_pq(X0,X1),X2),X5),X4),X6) ),
inference(superposition,[],[f857,f317]) ).
fof(f2008,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( contains_pq(insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(X0,X2),X3),X1),X4),X5),X6)
| ~ contains_pq(insert_pq(insert_pq(insert_pq(insert_pq(X0,X1),X2),X5),X4),X6) ),
inference(superposition,[],[f857,f317]) ).
fof(f2007,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( contains_pq(insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(X0,X3),X2),X1),X4),X5),X6)
| ~ contains_pq(insert_pq(insert_pq(insert_pq(insert_pq(X0,X1),X2),X5),X4),X6) ),
inference(superposition,[],[f857,f761]) ).
fof(f2006,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( contains_pq(insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(X0,X3),X2),X1),X4),X5),X6)
| ~ contains_pq(insert_pq(insert_pq(insert_pq(insert_pq(X0,X1),X2),X5),X4),X6) ),
inference(superposition,[],[f857,f761]) ).
fof(f2005,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( contains_pq(insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(X0,X2),X1),X3),X4),X5),X6)
| ~ contains_pq(insert_pq(insert_pq(insert_pq(insert_pq(X0,X1),X2),X5),X4),X6) ),
inference(superposition,[],[f857,f766]) ).
fof(f2004,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( contains_pq(insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(X0,X2),X1),X3),X4),X5),X6)
| ~ contains_pq(insert_pq(insert_pq(insert_pq(insert_pq(X0,X1),X2),X5),X4),X6) ),
inference(superposition,[],[f857,f766]) ).
fof(f2003,plain,
! [X2,X3,X0,X1,X4,X5] :
( contains_pq(insert_pq(insert_pq(insert_pq(insert_pq(X0,X2),X1),X3),X4),X5)
| ~ contains_pq(insert_pq(insert_pq(insert_pq(X0,X1),X4),X3),X5) ),
inference(superposition,[],[f857,f186]) ).
fof(f2002,plain,
! [X2,X3,X0,X1,X4,X5] :
( contains_pq(insert_pq(insert_pq(insert_pq(insert_pq(X0,X2),X1),X3),X4),X5)
| ~ contains_pq(insert_pq(insert_pq(insert_pq(X0,X1),X4),X3),X5) ),
inference(superposition,[],[f857,f186]) ).
fof(f2001,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ contains_pq(insert_pq(insert_pq(X0,X1),X2),X3)
| X3 = X4
| remove_pq(insert_pq(insert_pq(insert_pq(insert_pq(X0,X5),X2),X1),X4),X3) = insert_pq(remove_pq(insert_pq(insert_pq(insert_pq(X0,X5),X2),X1),X3),X4) ),
inference(resolution,[],[f857,f190]) ).
fof(f2000,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ contains_pq(insert_pq(insert_pq(X0,X1),X2),bottom)
| bottom = findmin_pq_res(insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(X0,X3),X2),X1),X4),X5),X6),bottom) ),
inference(resolution,[],[f857,f530]) ).
fof(f1999,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ contains_pq(insert_pq(insert_pq(X0,X1),X2),bottom)
| bottom = removemin_pq_res(insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(X0,X3),X2),X1),X4),X5),X6),bottom) ),
inference(resolution,[],[f857,f524]) ).
fof(f1998,plain,
! [X2,X3,X0,X1,X4] :
( ~ contains_pq(insert_pq(insert_pq(X0,X1),X2),bottom)
| removemin_pq_eff(insert_pq(insert_pq(insert_pq(insert_pq(X0,X3),X2),X1),X4),bottom) = remove_pq(insert_pq(insert_pq(insert_pq(insert_pq(X0,X3),X2),X1),X4),bottom) ),
inference(resolution,[],[f857,f461]) ).
fof(f1997,plain,
! [X2,X3,X0,X1] :
( ~ contains_pq(insert_pq(insert_pq(X0,X1),X2),bottom)
| removemin_pq_eff(insert_pq(insert_pq(insert_pq(X0,X3),X2),X1),bottom) = remove_pq(insert_pq(insert_pq(insert_pq(X0,X3),X2),X1),bottom) ),
inference(resolution,[],[f857,f458]) ).
fof(f1996,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ contains_pq(insert_pq(insert_pq(X0,X1),X2),bottom)
| bottom = findmin_pq_res(insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(X0,X3),X2),X1),X4),X5),bottom) ),
inference(resolution,[],[f857,f316]) ).
fof(f1995,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ contains_pq(insert_pq(insert_pq(X0,X1),X2),bottom)
| bottom = removemin_pq_res(insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(X0,X3),X2),X1),X4),X5),bottom) ),
inference(resolution,[],[f857,f314]) ).
fof(f1994,plain,
! [X2,X3,X0,X1,X4] :
( ~ contains_pq(insert_pq(insert_pq(X0,X1),X2),bottom)
| bottom = findmin_pq_res(insert_pq(insert_pq(insert_pq(insert_pq(X0,X3),X2),X1),X4),bottom) ),
inference(resolution,[],[f857,f311]) ).
fof(f1993,plain,
! [X2,X3,X0,X1] :
( ~ contains_pq(insert_pq(insert_pq(X0,X1),X2),bottom)
| bottom = findmin_pq_res(insert_pq(insert_pq(insert_pq(X0,X3),X2),X1),bottom) ),
inference(resolution,[],[f857,f308]) ).
fof(f1992,plain,
! [X2,X3,X0,X1,X4] :
( ~ contains_pq(insert_pq(insert_pq(X0,X1),X2),bottom)
| bottom = removemin_pq_res(insert_pq(insert_pq(insert_pq(insert_pq(X0,X3),X2),X1),X4),bottom) ),
inference(resolution,[],[f857,f304]) ).
fof(f1991,plain,
! [X2,X3,X0,X1] :
( ~ contains_pq(insert_pq(insert_pq(X0,X1),X2),bottom)
| bottom = removemin_pq_res(insert_pq(insert_pq(insert_pq(X0,X3),X2),X1),bottom) ),
inference(resolution,[],[f857,f301]) ).
fof(f1990,plain,
! [X2,X3,X0,X1,X4] :
( ~ contains_pq(insert_pq(insert_pq(X0,X1),X2),bottom)
| insert_pq(insert_pq(insert_pq(insert_pq(X0,X3),X2),X1),X4) = findmin_pq_eff(insert_pq(insert_pq(insert_pq(insert_pq(X0,X3),X2),X1),X4),bottom) ),
inference(resolution,[],[f857,f297]) ).
fof(f1989,plain,
! [X2,X3,X0,X1] :
( ~ contains_pq(insert_pq(insert_pq(X0,X1),X2),bottom)
| insert_pq(insert_pq(insert_pq(X0,X3),X2),X1) = findmin_pq_eff(insert_pq(insert_pq(insert_pq(X0,X3),X2),X1),bottom) ),
inference(resolution,[],[f857,f294]) ).
fof(f1988,plain,
! [X2,X3,X0,X1,X4] :
( ~ contains_pq(insert_pq(insert_pq(X0,X1),X2),bottom)
| bottom = findmin_pq_res(insert_pq(insert_pq(insert_pq(insert_pq(X0,X3),X2),X4),X1),bottom) ),
inference(resolution,[],[f857,f445]) ).
fof(f1987,plain,
! [X2,X3,X0,X1,X4] :
( ~ contains_pq(insert_pq(insert_pq(X0,X1),X2),bottom)
| bottom = removemin_pq_res(insert_pq(insert_pq(insert_pq(insert_pq(X0,X3),X2),X4),X1),bottom) ),
inference(resolution,[],[f857,f446]) ).
fof(f1986,plain,
! [X2,X3,X0,X1,X4] :
( ~ contains_pq(insert_pq(insert_pq(X0,X1),X2),X3)
| contains_pq(insert_pq(insert_pq(X0,X4),X2),X3)
| X1 = X3 ),
inference(resolution,[],[f857,f192]) ).
fof(f1985,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ contains_pq(insert_pq(insert_pq(X0,X1),X2),X3)
| contains_pq(insert_pq(insert_pq(insert_pq(X0,X4),X2),X5),X3)
| X1 = X3 ),
inference(resolution,[],[f857,f442]) ).
fof(f1984,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ contains_pq(insert_pq(insert_pq(X0,X1),X2),X3)
| X1 = X3
| contains_pq(insert_pq(insert_pq(insert_pq(insert_pq(X0,X4),X2),X5),X6),X3) ),
inference(resolution,[],[f857,f548]) ).
fof(f1983,plain,
! [X2,X3,X0,X1,X4] :
( ~ contains_pq(insert_pq(insert_pq(X0,X1),X2),X3)
| contains_pq(insert_pq(insert_pq(X0,X4),X1),X3)
| X2 = X3 ),
inference(resolution,[],[f857,f368]) ).
fof(f857,plain,
! [X2,X3,X0,X1,X4] :
( contains_pq(insert_pq(insert_pq(insert_pq(X0,X2),X3),X1),X4)
| ~ contains_pq(insert_pq(insert_pq(X0,X1),X3),X4) ),
inference(superposition,[],[f323,f317]) ).
fof(f1982,plain,
! [X2,X3,X0,X1,X4] :
( contains_pq(insert_pq(insert_pq(insert_pq(X0,X1),X3),X2),X4)
| ~ contains_pq(insert_pq(insert_pq(X0,X2),X1),X4) ),
inference(superposition,[],[f801,f186]) ).
fof(f1981,plain,
! [X2,X3,X0,X1,X4] :
( contains_pq(insert_pq(insert_pq(insert_pq(X0,X1),X3),X2),X4)
| ~ contains_pq(insert_pq(insert_pq(X0,X2),X1),X4) ),
inference(superposition,[],[f801,f186]) ).
fof(f1980,plain,
! [X2,X3,X0,X1,X4] :
( contains_pq(insert_pq(insert_pq(insert_pq(X0,X3),X1),X2),X4)
| ~ contains_pq(insert_pq(insert_pq(X0,X2),X1),X4) ),
inference(superposition,[],[f801,f317]) ).
fof(f1974,plain,
! [X2,X3,X0,X1,X4,X5] :
( contains_pq(insert_pq(insert_pq(insert_pq(insert_pq(X0,X3),X1),X2),X4),X5)
| ~ contains_pq(insert_pq(insert_pq(insert_pq(X0,X1),X3),X2),X5) ),
inference(superposition,[],[f801,f317]) ).
fof(f1973,plain,
! [X2,X3,X0,X1,X4,X5] :
( contains_pq(insert_pq(insert_pq(insert_pq(insert_pq(X0,X2),X3),X1),X4),X5)
| ~ contains_pq(insert_pq(insert_pq(insert_pq(X0,X1),X3),X2),X5) ),
inference(superposition,[],[f801,f317]) ).
fof(f1972,plain,
! [X2,X3,X0,X1,X4,X5] :
( contains_pq(insert_pq(insert_pq(insert_pq(insert_pq(X0,X3),X2),X1),X4),X5)
| ~ contains_pq(insert_pq(insert_pq(insert_pq(X0,X1),X3),X2),X5) ),
inference(superposition,[],[f801,f761]) ).
fof(f1971,plain,
! [X2,X3,X0,X1,X4,X5] :
( contains_pq(insert_pq(insert_pq(insert_pq(insert_pq(X0,X3),X2),X1),X4),X5)
| ~ contains_pq(insert_pq(insert_pq(insert_pq(X0,X1),X3),X2),X5) ),
inference(superposition,[],[f801,f761]) ).
fof(f1970,plain,
! [X2,X3,X0,X1,X4,X5] :
( contains_pq(insert_pq(insert_pq(insert_pq(insert_pq(X0,X2),X1),X3),X4),X5)
| ~ contains_pq(insert_pq(insert_pq(insert_pq(X0,X1),X3),X2),X5) ),
inference(superposition,[],[f801,f766]) ).
fof(f1969,plain,
! [X2,X3,X0,X1,X4,X5] :
( contains_pq(insert_pq(insert_pq(insert_pq(insert_pq(X0,X2),X1),X3),X4),X5)
| ~ contains_pq(insert_pq(insert_pq(insert_pq(X0,X1),X3),X2),X5) ),
inference(superposition,[],[f801,f766]) ).
fof(f1966,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( contains_pq(insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(X0,X3),X1),X2),X4),X5),X6)
| ~ contains_pq(insert_pq(insert_pq(insert_pq(insert_pq(X0,X1),X2),X4),X3),X6) ),
inference(superposition,[],[f801,f317]) ).
fof(f1965,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( contains_pq(insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(X0,X2),X3),X1),X4),X5),X6)
| ~ contains_pq(insert_pq(insert_pq(insert_pq(insert_pq(X0,X1),X2),X4),X3),X6) ),
inference(superposition,[],[f801,f317]) ).
fof(f1964,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( contains_pq(insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(X0,X3),X2),X1),X4),X5),X6)
| ~ contains_pq(insert_pq(insert_pq(insert_pq(insert_pq(X0,X1),X2),X4),X3),X6) ),
inference(superposition,[],[f801,f761]) ).
fof(f1963,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( contains_pq(insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(X0,X3),X2),X1),X4),X5),X6)
| ~ contains_pq(insert_pq(insert_pq(insert_pq(insert_pq(X0,X1),X2),X4),X3),X6) ),
inference(superposition,[],[f801,f761]) ).
fof(f1962,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( contains_pq(insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(X0,X2),X1),X3),X4),X5),X6)
| ~ contains_pq(insert_pq(insert_pq(insert_pq(insert_pq(X0,X1),X2),X4),X3),X6) ),
inference(superposition,[],[f801,f766]) ).
fof(f1961,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( contains_pq(insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(X0,X2),X1),X3),X4),X5),X6)
| ~ contains_pq(insert_pq(insert_pq(insert_pq(insert_pq(X0,X1),X2),X4),X3),X6) ),
inference(superposition,[],[f801,f766]) ).
fof(f1960,plain,
! [X2,X3,X0,X1,X4,X5] :
( contains_pq(insert_pq(insert_pq(insert_pq(insert_pq(X0,X2),X1),X3),X4),X5)
| ~ contains_pq(insert_pq(insert_pq(insert_pq(X0,X1),X3),X2),X5) ),
inference(superposition,[],[f801,f186]) ).
fof(f1959,plain,
! [X2,X3,X0,X1,X4,X5] :
( contains_pq(insert_pq(insert_pq(insert_pq(insert_pq(X0,X2),X1),X3),X4),X5)
| ~ contains_pq(insert_pq(insert_pq(insert_pq(X0,X1),X3),X2),X5) ),
inference(superposition,[],[f801,f186]) ).
fof(f1958,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ contains_pq(insert_pq(insert_pq(X0,X1),X2),X3)
| X3 = X4
| remove_pq(insert_pq(insert_pq(insert_pq(insert_pq(X0,X2),X1),X5),X4),X3) = insert_pq(remove_pq(insert_pq(insert_pq(insert_pq(X0,X2),X1),X5),X3),X4) ),
inference(resolution,[],[f801,f190]) ).
fof(f1957,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ contains_pq(insert_pq(insert_pq(X0,X1),X2),bottom)
| bottom = findmin_pq_res(insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(X0,X2),X1),X3),X4),X5),X6),bottom) ),
inference(resolution,[],[f801,f530]) ).
fof(f1956,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ contains_pq(insert_pq(insert_pq(X0,X1),X2),bottom)
| bottom = removemin_pq_res(insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(X0,X2),X1),X3),X4),X5),X6),bottom) ),
inference(resolution,[],[f801,f524]) ).
fof(f1955,plain,
! [X2,X3,X0,X1,X4] :
( ~ contains_pq(insert_pq(insert_pq(X0,X1),X2),bottom)
| removemin_pq_eff(insert_pq(insert_pq(insert_pq(insert_pq(X0,X2),X1),X3),X4),bottom) = remove_pq(insert_pq(insert_pq(insert_pq(insert_pq(X0,X2),X1),X3),X4),bottom) ),
inference(resolution,[],[f801,f461]) ).
fof(f1954,plain,
! [X2,X3,X0,X1] :
( ~ contains_pq(insert_pq(insert_pq(X0,X1),X2),bottom)
| removemin_pq_eff(insert_pq(insert_pq(insert_pq(X0,X2),X1),X3),bottom) = remove_pq(insert_pq(insert_pq(insert_pq(X0,X2),X1),X3),bottom) ),
inference(resolution,[],[f801,f458]) ).
fof(f1953,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ contains_pq(insert_pq(insert_pq(X0,X1),X2),bottom)
| bottom = findmin_pq_res(insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(X0,X2),X1),X3),X4),X5),bottom) ),
inference(resolution,[],[f801,f316]) ).
fof(f1952,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ contains_pq(insert_pq(insert_pq(X0,X1),X2),bottom)
| bottom = removemin_pq_res(insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(X0,X2),X1),X3),X4),X5),bottom) ),
inference(resolution,[],[f801,f314]) ).
fof(f1951,plain,
! [X2,X3,X0,X1,X4] :
( ~ contains_pq(insert_pq(insert_pq(X0,X1),X2),bottom)
| bottom = findmin_pq_res(insert_pq(insert_pq(insert_pq(insert_pq(X0,X2),X1),X3),X4),bottom) ),
inference(resolution,[],[f801,f311]) ).
fof(f1950,plain,
! [X2,X3,X0,X1] :
( ~ contains_pq(insert_pq(insert_pq(X0,X1),X2),bottom)
| bottom = findmin_pq_res(insert_pq(insert_pq(insert_pq(X0,X2),X1),X3),bottom) ),
inference(resolution,[],[f801,f308]) ).
fof(f1949,plain,
! [X2,X3,X0,X1,X4] :
( ~ contains_pq(insert_pq(insert_pq(X0,X1),X2),bottom)
| bottom = removemin_pq_res(insert_pq(insert_pq(insert_pq(insert_pq(X0,X2),X1),X3),X4),bottom) ),
inference(resolution,[],[f801,f304]) ).
fof(f1948,plain,
! [X2,X3,X0,X1] :
( ~ contains_pq(insert_pq(insert_pq(X0,X1),X2),bottom)
| bottom = removemin_pq_res(insert_pq(insert_pq(insert_pq(X0,X2),X1),X3),bottom) ),
inference(resolution,[],[f801,f301]) ).
fof(f1947,plain,
! [X2,X3,X0,X1,X4] :
( ~ contains_pq(insert_pq(insert_pq(X0,X1),X2),bottom)
| insert_pq(insert_pq(insert_pq(insert_pq(X0,X2),X1),X3),X4) = findmin_pq_eff(insert_pq(insert_pq(insert_pq(insert_pq(X0,X2),X1),X3),X4),bottom) ),
inference(resolution,[],[f801,f297]) ).
fof(f1946,plain,
! [X2,X3,X0,X1] :
( ~ contains_pq(insert_pq(insert_pq(X0,X1),X2),bottom)
| insert_pq(insert_pq(insert_pq(X0,X2),X1),X3) = findmin_pq_eff(insert_pq(insert_pq(insert_pq(X0,X2),X1),X3),bottom) ),
inference(resolution,[],[f801,f294]) ).
fof(f1945,plain,
! [X2,X3,X0,X1,X4] :
( ~ contains_pq(insert_pq(insert_pq(X0,X1),X2),bottom)
| bottom = findmin_pq_res(insert_pq(insert_pq(insert_pq(insert_pq(X0,X2),X1),X3),X4),bottom) ),
inference(resolution,[],[f801,f445]) ).
fof(f1944,plain,
! [X2,X3,X0,X1,X4] :
( ~ contains_pq(insert_pq(insert_pq(X0,X1),X2),bottom)
| bottom = removemin_pq_res(insert_pq(insert_pq(insert_pq(insert_pq(X0,X2),X1),X3),X4),bottom) ),
inference(resolution,[],[f801,f446]) ).
fof(f1943,plain,
! [X2,X3,X0,X1,X4] :
( ~ contains_pq(insert_pq(insert_pq(X0,X1),X2),X3)
| contains_pq(insert_pq(insert_pq(X0,X2),X1),X3)
| X3 = X4 ),
inference(resolution,[],[f801,f192]) ).
fof(f1941,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ contains_pq(insert_pq(insert_pq(X0,X1),X2),X3)
| X3 = X4
| contains_pq(insert_pq(insert_pq(insert_pq(insert_pq(X0,X2),X1),X5),X6),X3) ),
inference(resolution,[],[f801,f548]) ).
fof(f1940,plain,
! [X2,X3,X0,X1,X4] :
( ~ contains_pq(insert_pq(insert_pq(X0,X1),X2),X3)
| contains_pq(insert_pq(insert_pq(X0,X2),X4),X3)
| X1 = X3 ),
inference(resolution,[],[f801,f368]) ).
fof(f801,plain,
! [X2,X3,X0,X1,X4] :
( contains_pq(insert_pq(insert_pq(insert_pq(X0,X3),X1),X2),X4)
| ~ contains_pq(insert_pq(insert_pq(X0,X1),X3),X4) ),
inference(superposition,[],[f323,f317]) ).
fof(f1939,plain,
! [X2,X3,X0,X1,X4] :
( contains_pq(insert_pq(insert_pq(insert_pq(X0,X1),X3),X2),X4)
| ~ contains_pq(insert_pq(insert_pq(X0,X2),X3),X4) ),
inference(superposition,[],[f448,f186]) ).
fof(f1938,plain,
! [X2,X3,X0,X1,X4] :
( contains_pq(insert_pq(insert_pq(insert_pq(X0,X1),X3),X2),X4)
| ~ contains_pq(insert_pq(insert_pq(X0,X2),X3),X4) ),
inference(superposition,[],[f448,f186]) ).
fof(f1937,plain,
! [X2,X3,X0,X1,X4] :
( contains_pq(insert_pq(insert_pq(insert_pq(X0,X3),X1),X2),X4)
| ~ contains_pq(insert_pq(insert_pq(X0,X2),X3),X4) ),
inference(superposition,[],[f448,f317]) ).
fof(f1935,plain,
! [X2,X3,X0,X1,X4] :
( contains_pq(insert_pq(insert_pq(insert_pq(X0,X3),X2),X1),X4)
| ~ contains_pq(insert_pq(insert_pq(X0,X2),X3),X4) ),
inference(superposition,[],[f448,f761]) ).
fof(f1934,plain,
! [X2,X3,X0,X1,X4] :
( contains_pq(insert_pq(insert_pq(insert_pq(X0,X3),X2),X1),X4)
| ~ contains_pq(insert_pq(insert_pq(X0,X2),X3),X4) ),
inference(superposition,[],[f448,f761]) ).
fof(f1931,plain,
! [X2,X3,X0,X1,X4,X5] :
( contains_pq(insert_pq(insert_pq(insert_pq(insert_pq(X0,X3),X1),X2),X4),X5)
| ~ contains_pq(insert_pq(insert_pq(insert_pq(X0,X1),X3),X4),X5) ),
inference(superposition,[],[f448,f317]) ).
fof(f1930,plain,
! [X2,X3,X0,X1,X4,X5] :
( contains_pq(insert_pq(insert_pq(insert_pq(insert_pq(X0,X2),X3),X1),X4),X5)
| ~ contains_pq(insert_pq(insert_pq(insert_pq(X0,X1),X3),X4),X5) ),
inference(superposition,[],[f448,f317]) ).
fof(f1929,plain,
! [X2,X3,X0,X1,X4,X5] :
( contains_pq(insert_pq(insert_pq(insert_pq(insert_pq(X0,X3),X2),X1),X4),X5)
| ~ contains_pq(insert_pq(insert_pq(insert_pq(X0,X1),X3),X4),X5) ),
inference(superposition,[],[f448,f761]) ).
fof(f1928,plain,
! [X2,X3,X0,X1,X4,X5] :
( contains_pq(insert_pq(insert_pq(insert_pq(insert_pq(X0,X3),X2),X1),X4),X5)
| ~ contains_pq(insert_pq(insert_pq(insert_pq(X0,X1),X3),X4),X5) ),
inference(superposition,[],[f448,f761]) ).
fof(f1927,plain,
! [X2,X3,X0,X1,X4,X5] :
( contains_pq(insert_pq(insert_pq(insert_pq(insert_pq(X0,X2),X1),X3),X4),X5)
| ~ contains_pq(insert_pq(insert_pq(insert_pq(X0,X1),X3),X4),X5) ),
inference(superposition,[],[f448,f766]) ).
fof(f1926,plain,
! [X2,X3,X0,X1,X4,X5] :
( contains_pq(insert_pq(insert_pq(insert_pq(insert_pq(X0,X2),X1),X3),X4),X5)
| ~ contains_pq(insert_pq(insert_pq(insert_pq(X0,X1),X3),X4),X5) ),
inference(superposition,[],[f448,f766]) ).
fof(f1923,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( contains_pq(insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(X0,X3),X1),X2),X4),X5),X6)
| ~ contains_pq(insert_pq(insert_pq(insert_pq(insert_pq(X0,X1),X2),X4),X5),X6) ),
inference(superposition,[],[f448,f317]) ).
fof(f1922,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( contains_pq(insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(X0,X2),X3),X1),X4),X5),X6)
| ~ contains_pq(insert_pq(insert_pq(insert_pq(insert_pq(X0,X1),X2),X4),X5),X6) ),
inference(superposition,[],[f448,f317]) ).
fof(f1921,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( contains_pq(insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(X0,X3),X2),X1),X4),X5),X6)
| ~ contains_pq(insert_pq(insert_pq(insert_pq(insert_pq(X0,X1),X2),X4),X5),X6) ),
inference(superposition,[],[f448,f761]) ).
fof(f1920,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( contains_pq(insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(X0,X3),X2),X1),X4),X5),X6)
| ~ contains_pq(insert_pq(insert_pq(insert_pq(insert_pq(X0,X1),X2),X4),X5),X6) ),
inference(superposition,[],[f448,f761]) ).
fof(f1919,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( contains_pq(insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(X0,X2),X1),X3),X4),X5),X6)
| ~ contains_pq(insert_pq(insert_pq(insert_pq(insert_pq(X0,X1),X2),X4),X5),X6) ),
inference(superposition,[],[f448,f766]) ).
fof(f1918,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( contains_pq(insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(X0,X2),X1),X3),X4),X5),X6)
| ~ contains_pq(insert_pq(insert_pq(insert_pq(insert_pq(X0,X1),X2),X4),X5),X6) ),
inference(superposition,[],[f448,f766]) ).
fof(f1917,plain,
! [X2,X3,X0,X1,X4,X5] :
( contains_pq(insert_pq(insert_pq(insert_pq(insert_pq(X0,X2),X1),X3),X4),X5)
| ~ contains_pq(insert_pq(insert_pq(insert_pq(X0,X1),X3),X4),X5) ),
inference(superposition,[],[f448,f186]) ).
fof(f1916,plain,
! [X2,X3,X0,X1,X4,X5] :
( contains_pq(insert_pq(insert_pq(insert_pq(insert_pq(X0,X2),X1),X3),X4),X5)
| ~ contains_pq(insert_pq(insert_pq(insert_pq(X0,X1),X3),X4),X5) ),
inference(superposition,[],[f448,f186]) ).
fof(f1915,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ contains_pq(insert_pq(insert_pq(X0,X1),X2),X3)
| X3 = X4
| remove_pq(insert_pq(insert_pq(insert_pq(insert_pq(X0,X5),X1),X2),X4),X3) = insert_pq(remove_pq(insert_pq(insert_pq(insert_pq(X0,X5),X1),X2),X3),X4) ),
inference(resolution,[],[f448,f190]) ).
fof(f1914,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ contains_pq(insert_pq(insert_pq(X0,X1),X2),bottom)
| bottom = findmin_pq_res(insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(X0,X3),X1),X2),X4),X5),X6),bottom) ),
inference(resolution,[],[f448,f530]) ).
fof(f1913,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ contains_pq(insert_pq(insert_pq(X0,X1),X2),bottom)
| bottom = removemin_pq_res(insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(X0,X3),X1),X2),X4),X5),X6),bottom) ),
inference(resolution,[],[f448,f524]) ).
fof(f1912,plain,
! [X2,X3,X0,X1,X4] :
( ~ contains_pq(insert_pq(insert_pq(X0,X1),X2),bottom)
| removemin_pq_eff(insert_pq(insert_pq(insert_pq(insert_pq(X0,X3),X1),X2),X4),bottom) = remove_pq(insert_pq(insert_pq(insert_pq(insert_pq(X0,X3),X1),X2),X4),bottom) ),
inference(resolution,[],[f448,f461]) ).
fof(f1911,plain,
! [X2,X3,X0,X1] :
( ~ contains_pq(insert_pq(insert_pq(X0,X1),X2),bottom)
| removemin_pq_eff(insert_pq(insert_pq(insert_pq(X0,X3),X1),X2),bottom) = remove_pq(insert_pq(insert_pq(insert_pq(X0,X3),X1),X2),bottom) ),
inference(resolution,[],[f448,f458]) ).
fof(f1910,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ contains_pq(insert_pq(insert_pq(X0,X1),X2),bottom)
| bottom = findmin_pq_res(insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(X0,X3),X1),X2),X4),X5),bottom) ),
inference(resolution,[],[f448,f316]) ).
fof(f1909,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ contains_pq(insert_pq(insert_pq(X0,X1),X2),bottom)
| bottom = removemin_pq_res(insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(X0,X3),X1),X2),X4),X5),bottom) ),
inference(resolution,[],[f448,f314]) ).
fof(f1908,plain,
! [X2,X3,X0,X1,X4] :
( ~ contains_pq(insert_pq(insert_pq(X0,X1),X2),bottom)
| bottom = findmin_pq_res(insert_pq(insert_pq(insert_pq(insert_pq(X0,X3),X1),X2),X4),bottom) ),
inference(resolution,[],[f448,f311]) ).
fof(f1907,plain,
! [X2,X3,X0,X1] :
( ~ contains_pq(insert_pq(insert_pq(X0,X1),X2),bottom)
| bottom = findmin_pq_res(insert_pq(insert_pq(insert_pq(X0,X3),X1),X2),bottom) ),
inference(resolution,[],[f448,f308]) ).
fof(f1906,plain,
! [X2,X3,X0,X1,X4] :
( ~ contains_pq(insert_pq(insert_pq(X0,X1),X2),bottom)
| bottom = removemin_pq_res(insert_pq(insert_pq(insert_pq(insert_pq(X0,X3),X1),X2),X4),bottom) ),
inference(resolution,[],[f448,f304]) ).
fof(f1905,plain,
! [X2,X3,X0,X1] :
( ~ contains_pq(insert_pq(insert_pq(X0,X1),X2),bottom)
| bottom = removemin_pq_res(insert_pq(insert_pq(insert_pq(X0,X3),X1),X2),bottom) ),
inference(resolution,[],[f448,f301]) ).
fof(f1904,plain,
! [X2,X3,X0,X1,X4] :
( ~ contains_pq(insert_pq(insert_pq(X0,X1),X2),bottom)
| insert_pq(insert_pq(insert_pq(insert_pq(X0,X3),X1),X2),X4) = findmin_pq_eff(insert_pq(insert_pq(insert_pq(insert_pq(X0,X3),X1),X2),X4),bottom) ),
inference(resolution,[],[f448,f297]) ).
fof(f1903,plain,
! [X2,X3,X0,X1] :
( ~ contains_pq(insert_pq(insert_pq(X0,X1),X2),bottom)
| insert_pq(insert_pq(insert_pq(X0,X3),X1),X2) = findmin_pq_eff(insert_pq(insert_pq(insert_pq(X0,X3),X1),X2),bottom) ),
inference(resolution,[],[f448,f294]) ).
fof(f1902,plain,
! [X2,X3,X0,X1,X4] :
( ~ contains_pq(insert_pq(insert_pq(X0,X1),X2),bottom)
| bottom = findmin_pq_res(insert_pq(insert_pq(insert_pq(insert_pq(X0,X3),X1),X4),X2),bottom) ),
inference(resolution,[],[f448,f445]) ).
fof(f1901,plain,
! [X2,X3,X0,X1,X4] :
( ~ contains_pq(insert_pq(insert_pq(X0,X1),X2),bottom)
| bottom = removemin_pq_res(insert_pq(insert_pq(insert_pq(insert_pq(X0,X3),X1),X4),X2),bottom) ),
inference(resolution,[],[f448,f446]) ).
fof(f1900,plain,
! [X2,X3,X0,X1,X4] :
( ~ contains_pq(insert_pq(insert_pq(X0,X1),X2),X3)
| contains_pq(insert_pq(insert_pq(X0,X4),X1),X3)
| X2 = X3 ),
inference(resolution,[],[f448,f192]) ).
fof(f1899,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ contains_pq(insert_pq(insert_pq(X0,X1),X2),X3)
| contains_pq(insert_pq(insert_pq(insert_pq(X0,X4),X1),X5),X3)
| X2 = X3 ),
inference(resolution,[],[f448,f442]) ).
fof(f1898,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ contains_pq(insert_pq(insert_pq(X0,X1),X2),X3)
| X2 = X3
| contains_pq(insert_pq(insert_pq(insert_pq(insert_pq(X0,X4),X1),X5),X6),X3) ),
inference(resolution,[],[f448,f548]) ).
fof(f1897,plain,
! [X2,X3,X0,X1,X4] :
( ~ contains_pq(insert_pq(insert_pq(X0,X1),X2),X3)
| contains_pq(insert_pq(insert_pq(X0,X4),X2),X3)
| X1 = X3 ),
inference(resolution,[],[f448,f368]) ).
fof(f448,plain,
! [X2,X3,X0,X1,X4] :
( contains_pq(insert_pq(insert_pq(insert_pq(X0,X2),X1),X3),X4)
| ~ contains_pq(insert_pq(insert_pq(X0,X1),X3),X4) ),
inference(superposition,[],[f323,f186]) ).
fof(f1896,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ strictly_less_than(X1,X2)
| remove_cpq(triple(X5,insert_slb(insert_slb(X0,pair(X1,X2)),pair(X3,X4)),X6),X1) = triple(remove_pqp(X5,X1),remove_slb(insert_slb(insert_slb(X0,pair(X1,X2)),pair(X3,X4)),X1),bad)
| ~ contains_slb(insert_slb(insert_slb(X0,pair(X1,X2)),pair(X3,X4)),X1)
| X1 = X3 ),
inference(superposition,[],[f205,f1341]) ).
fof(f1895,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ less_than(X2,X1)
| remove_cpq(triple(X5,insert_slb(insert_slb(X0,pair(X1,X2)),pair(X3,X4)),X6),X1) = triple(remove_pqp(X5,X1),remove_slb(insert_slb(insert_slb(X0,pair(X1,X2)),pair(X3,X4)),X1),X6)
| ~ contains_slb(insert_slb(insert_slb(X0,pair(X1,X2)),pair(X3,X4)),X1)
| X1 = X3 ),
inference(superposition,[],[f206,f1341]) ).
fof(f1341,plain,
! [X2,X3,X0,X1,X4] :
( lookup_slb(insert_slb(insert_slb(X0,pair(X1,X2)),pair(X3,X4)),X1) = X2
| X1 = X3 ),
inference(forward_demodulation,[],[f1338,f185]) ).
fof(f1338,plain,
! [X2,X3,X0,X1,X4] :
( lookup_slb(insert_slb(X0,pair(X1,X2)),X1) = lookup_slb(insert_slb(insert_slb(X0,pair(X1,X2)),pair(X3,X4)),X1)
| X1 = X3 ),
inference(resolution,[],[f200,f221]) ).
fof(f1891,plain,
! [X2,X3,X0,X1,X4] :
( remove_cpq(triple(X3,insert_slb(X0,pair(X1,X2)),X4),X1) = triple(remove_pqp(X3,X1),X0,X4)
| ~ less_than(X2,X1) ),
inference(forward_demodulation,[],[f1890,f184]) ).
fof(f1890,plain,
! [X2,X3,X0,X1,X4] :
( ~ less_than(X2,X1)
| remove_cpq(triple(X3,insert_slb(X0,pair(X1,X2)),X4),X1) = triple(remove_pqp(X3,X1),remove_slb(insert_slb(X0,pair(X1,X2)),X1),X4) ),
inference(subsumption_resolution,[],[f1889,f221]) ).
fof(f1889,plain,
! [X2,X3,X0,X1,X4] :
( ~ less_than(X2,X1)
| remove_cpq(triple(X3,insert_slb(X0,pair(X1,X2)),X4),X1) = triple(remove_pqp(X3,X1),remove_slb(insert_slb(X0,pair(X1,X2)),X1),X4)
| ~ contains_slb(insert_slb(X0,pair(X1,X2)),X1) ),
inference(superposition,[],[f206,f185]) ).
fof(f1888,plain,
! [X2,X3,X0,X1,X4] :
( remove_cpq(triple(X0,X1,X2),X3) = triple(remove_pqp(X0,X3),remove_slb(X1,X3),X2)
| ~ contains_slb(X1,X3)
| issmallestelement_pq(i(X4),X3)
| less_than(sK3(X4),lookup_slb(X1,X3))
| ~ pi_find_min(X4) ),
inference(resolution,[],[f206,f674]) ).
fof(f1887,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( remove_cpq(triple(X0,X1,X2),X3) = triple(remove_pqp(X0,X3),remove_slb(X1,X3),X2)
| ~ contains_slb(X1,X3)
| less_than(X3,X4)
| less_than(X4,X5)
| less_than(X5,X6)
| less_than(X6,lookup_slb(X1,X3)) ),
inference(resolution,[],[f206,f476]) ).
fof(f1886,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( remove_cpq(triple(X0,X1,X2),X3) = triple(remove_pqp(X0,X3),remove_slb(X1,X3),X2)
| ~ contains_slb(X1,X3)
| less_than(X4,X5)
| less_than(X5,X6)
| less_than(X6,lookup_slb(X1,X3))
| less_than(X3,X4) ),
inference(resolution,[],[f206,f476]) ).
fof(f1885,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( remove_cpq(triple(X0,X1,X2),X3) = triple(remove_pqp(X0,X3),remove_slb(X1,X3),X2)
| ~ contains_slb(X1,X3)
| less_than(X4,X5)
| less_than(X5,lookup_slb(X1,X3))
| less_than(X3,X6)
| less_than(X6,X4) ),
inference(resolution,[],[f206,f476]) ).
fof(f1884,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( remove_cpq(triple(X0,X1,X2),X3) = triple(remove_pqp(X0,X3),remove_slb(X1,X3),X2)
| ~ contains_slb(X1,X3)
| less_than(X4,lookup_slb(X1,X3))
| less_than(X3,X5)
| less_than(X5,X6)
| less_than(X6,X4) ),
inference(resolution,[],[f206,f476]) ).
fof(f1883,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( remove_cpq(triple(X0,X1,X2),X3) = triple(remove_pqp(X0,X3),remove_slb(X1,X3),X2)
| ~ contains_slb(X1,X3)
| less_than(X3,X4)
| less_than(X4,X5)
| less_than(X5,X6)
| less_than(X6,lookup_slb(X1,X3)) ),
inference(resolution,[],[f206,f476]) ).
fof(f1882,plain,
! [X2,X3,X0,X1,X4,X5] :
( remove_cpq(triple(X0,X1,X2),X3) = triple(remove_pqp(X0,X3),remove_slb(X1,X3),X2)
| ~ contains_slb(X1,X3)
| less_than(sK5(X4,X5),lookup_slb(X1,X3))
| less_than(X3,X5)
| issmallestelement_pq(X4,X5) ),
inference(resolution,[],[f206,f380]) ).
fof(f1881,plain,
! [X2,X3,X0,X1,X4,X5] :
( remove_cpq(triple(X0,X1,X2),X3) = triple(remove_pqp(X0,X3),remove_slb(X1,X3),X2)
| ~ contains_slb(X1,X3)
| less_than(sK5(X4,X3),X5)
| less_than(X5,lookup_slb(X1,X3))
| issmallestelement_pq(X4,X3) ),
inference(resolution,[],[f206,f380]) ).
fof(f1880,plain,
! [X2,X3,X0,X1,X4,X5] :
( remove_cpq(triple(X0,X1,X2),X3) = triple(remove_pqp(X0,X3),remove_slb(X1,X3),X2)
| ~ contains_slb(X1,X3)
| less_than(X3,X4)
| less_than(X4,X5)
| less_than(X5,lookup_slb(X1,X3)) ),
inference(resolution,[],[f206,f268]) ).
fof(f1879,plain,
! [X2,X3,X0,X1,X4,X5] :
( remove_cpq(triple(X0,X1,X2),X3) = triple(remove_pqp(X0,X3),remove_slb(X1,X3),X2)
| ~ contains_slb(X1,X3)
| less_than(X4,X5)
| less_than(X5,lookup_slb(X1,X3))
| less_than(X3,X4) ),
inference(resolution,[],[f206,f268]) ).
fof(f1878,plain,
! [X2,X3,X0,X1,X4,X5] :
( remove_cpq(triple(X0,X1,X2),X3) = triple(remove_pqp(X0,X3),remove_slb(X1,X3),X2)
| ~ contains_slb(X1,X3)
| less_than(X4,lookup_slb(X1,X3))
| less_than(X3,X5)
| less_than(X5,X4) ),
inference(resolution,[],[f206,f268]) ).
fof(f1877,plain,
! [X2,X3,X0,X1,X4,X5] :
( remove_cpq(triple(X0,X1,X2),X3) = triple(remove_pqp(X0,X3),remove_slb(X1,X3),X2)
| ~ contains_slb(X1,X3)
| less_than(X3,X4)
| less_than(X4,X5)
| less_than(X5,lookup_slb(X1,X3)) ),
inference(resolution,[],[f206,f268]) ).
fof(f1876,plain,
! [X2,X3,X0,X1,X4] :
( remove_cpq(triple(X0,X1,X2),X3) = triple(remove_pqp(X0,X3),remove_slb(X1,X3),X2)
| ~ contains_slb(X1,X3)
| less_than(X3,X4)
| less_than(X4,lookup_slb(X1,X3)) ),
inference(resolution,[],[f206,f264]) ).
fof(f1875,plain,
! [X2,X3,X0,X1,X4] :
( remove_cpq(triple(X0,X1,X2),X3) = triple(remove_pqp(X0,X3),remove_slb(X1,X3),X2)
| ~ contains_slb(X1,X3)
| less_than(X4,lookup_slb(X1,X3))
| less_than(X3,X4) ),
inference(resolution,[],[f206,f264]) ).
fof(f1874,plain,
! [X2,X3,X0,X1,X4] :
( remove_cpq(triple(X0,X1,X2),X3) = triple(remove_pqp(X0,X3),remove_slb(X1,X3),X2)
| ~ contains_slb(X1,X3)
| less_than(X3,X4)
| less_than(X4,lookup_slb(X1,X3)) ),
inference(resolution,[],[f206,f264]) ).
fof(f1873,plain,
! [X2,X3,X0,X1] :
( remove_cpq(triple(X0,X1,X2),X3) = triple(remove_pqp(X0,X3),remove_slb(X1,X3),X2)
| ~ contains_slb(X1,X3)
| less_than(X3,lookup_slb(X1,X3)) ),
inference(resolution,[],[f206,f168]) ).
fof(f1872,plain,
! [X2,X3,X0,X1] :
( remove_cpq(triple(X0,X1,X2),X3) = triple(remove_pqp(X0,X3),remove_slb(X1,X3),X2)
| ~ contains_slb(X1,X3)
| less_than(X3,lookup_slb(X1,X3)) ),
inference(resolution,[],[f206,f168]) ).
fof(f206,plain,
! [X2,X3,X0,X1] :
( ~ less_than(lookup_slb(X1,X3),X3)
| remove_cpq(triple(X0,X1,X2),X3) = triple(remove_pqp(X0,X3),remove_slb(X1,X3),X2)
| ~ contains_slb(X1,X3) ),
inference(cnf_transformation,[],[f117]) ).
fof(f117,plain,
! [X0,X1,X2,X3] :
( remove_cpq(triple(X0,X1,X2),X3) = triple(remove_pqp(X0,X3),remove_slb(X1,X3),X2)
| ~ less_than(lookup_slb(X1,X3),X3)
| ~ contains_slb(X1,X3) ),
inference(flattening,[],[f116]) ).
fof(f116,plain,
! [X0,X1,X2,X3] :
( remove_cpq(triple(X0,X1,X2),X3) = triple(remove_pqp(X0,X3),remove_slb(X1,X3),X2)
| ~ less_than(lookup_slb(X1,X3),X3)
| ~ contains_slb(X1,X3) ),
inference(ennf_transformation,[],[f44]) ).
fof(f44,axiom,
! [X0,X1,X2,X3] :
( ( less_than(lookup_slb(X1,X3),X3)
& contains_slb(X1,X3) )
=> remove_cpq(triple(X0,X1,X2),X3) = triple(remove_pqp(X0,X3),remove_slb(X1,X3),X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax44) ).
fof(f1871,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] : ~ ok(insert_cpq(insert_cpq(insert_cpq(insert_cpq(insert_cpq(insert_cpq(triple(X0,X2,bad),X1),X3),X4),X5),X6),X7)),
inference(superposition,[],[f1332,f195]) ).
fof(f1332,plain,
! [X2,X3,X0,X1,X6,X4,X5] : ~ ok(insert_cpq(insert_cpq(insert_cpq(insert_cpq(insert_cpq(triple(X0,X2,bad),X1),X3),X4),X5),X6)),
inference(superposition,[],[f1327,f195]) ).
fof(f1870,plain,
! [X2,X3,X0,X1,X4] :
( remove_cpq(triple(X3,insert_slb(X0,pair(X1,X2)),X4),X1) = triple(remove_pqp(X3,X1),X0,bad)
| ~ strictly_less_than(X1,X2) ),
inference(forward_demodulation,[],[f1869,f184]) ).
fof(f1869,plain,
! [X2,X3,X0,X1,X4] :
( ~ strictly_less_than(X1,X2)
| remove_cpq(triple(X3,insert_slb(X0,pair(X1,X2)),X4),X1) = triple(remove_pqp(X3,X1),remove_slb(insert_slb(X0,pair(X1,X2)),X1),bad) ),
inference(subsumption_resolution,[],[f1868,f221]) ).
fof(f1868,plain,
! [X2,X3,X0,X1,X4] :
( ~ strictly_less_than(X1,X2)
| remove_cpq(triple(X3,insert_slb(X0,pair(X1,X2)),X4),X1) = triple(remove_pqp(X3,X1),remove_slb(insert_slb(X0,pair(X1,X2)),X1),bad)
| ~ contains_slb(insert_slb(X0,pair(X1,X2)),X1) ),
inference(superposition,[],[f205,f185]) ).
fof(f1867,plain,
! [X2,X3,X0,X1] :
( remove_cpq(triple(X0,X1,X2),X3) = triple(remove_pqp(X0,X3),remove_slb(X1,X3),bad)
| ~ contains_slb(X1,X3)
| less_than(lookup_slb(X1,X3),X3) ),
inference(resolution,[],[f205,f245]) ).
fof(f205,plain,
! [X2,X3,X0,X1] :
( ~ strictly_less_than(X3,lookup_slb(X1,X3))
| remove_cpq(triple(X0,X1,X2),X3) = triple(remove_pqp(X0,X3),remove_slb(X1,X3),bad)
| ~ contains_slb(X1,X3) ),
inference(cnf_transformation,[],[f115]) ).
fof(f115,plain,
! [X0,X1,X2,X3] :
( remove_cpq(triple(X0,X1,X2),X3) = triple(remove_pqp(X0,X3),remove_slb(X1,X3),bad)
| ~ strictly_less_than(X3,lookup_slb(X1,X3))
| ~ contains_slb(X1,X3) ),
inference(flattening,[],[f114]) ).
fof(f114,plain,
! [X0,X1,X2,X3] :
( remove_cpq(triple(X0,X1,X2),X3) = triple(remove_pqp(X0,X3),remove_slb(X1,X3),bad)
| ~ strictly_less_than(X3,lookup_slb(X1,X3))
| ~ contains_slb(X1,X3) ),
inference(ennf_transformation,[],[f45]) ).
fof(f45,axiom,
! [X0,X1,X2,X3] :
( ( strictly_less_than(X3,lookup_slb(X1,X3))
& contains_slb(X1,X3) )
=> remove_cpq(triple(X0,X1,X2),X3) = triple(remove_pqp(X0,X3),remove_slb(X1,X3),bad) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax45) ).
fof(f1866,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( issmallestelement_pq(insert_pq(i(triple(X0,X1,X4)),X2),sK5(X5,X6))
| less_than(sK3(triple(X0,insert_slb(X1,pair(X2,X3)),X4)),X6)
| ~ pi_find_min(triple(X0,insert_slb(X1,pair(X2,X3)),X4))
| issmallestelement_pq(X5,X6) ),
inference(superposition,[],[f689,f212]) ).
fof(f1864,plain,
! [X2,X3,X0,X1] :
( less_than(sK3(X0),X1)
| ~ pi_find_min(X0)
| issmallestelement_pq(X2,X1)
| ~ contains_pq(i(X0),X3)
| less_than(sK5(X2,X1),X3) ),
inference(resolution,[],[f689,f176]) ).
fof(f1863,plain,
! [X2,X0,X1] :
( less_than(sK3(X0),X1)
| ~ pi_find_min(X0)
| issmallestelement_pq(X2,X1)
| i(X0) = findmin_pq_eff(i(X0),sK5(X2,X1))
| ~ contains_pq(i(X0),sK5(X2,X1)) ),
inference(resolution,[],[f689,f171]) ).
fof(f1862,plain,
! [X2,X0,X1] :
( less_than(sK3(X0),X1)
| ~ pi_find_min(X0)
| issmallestelement_pq(X2,X1)
| sK5(X2,X1) = removemin_pq_res(i(X0),sK5(X2,X1))
| ~ contains_pq(i(X0),sK5(X2,X1)) ),
inference(resolution,[],[f689,f172]) ).
fof(f1861,plain,
! [X2,X0,X1] :
( less_than(sK3(X0),X1)
| ~ pi_find_min(X0)
| issmallestelement_pq(X2,X1)
| sK5(X2,X1) = findmin_pq_res(i(X0),sK5(X2,X1))
| ~ contains_pq(i(X0),sK5(X2,X1)) ),
inference(resolution,[],[f689,f173]) ).
fof(f1860,plain,
! [X2,X0,X1] :
( less_than(sK3(X0),X1)
| ~ pi_find_min(X0)
| issmallestelement_pq(X2,X1)
| removemin_pq_eff(i(X0),sK5(X2,X1)) = remove_pq(i(X0),sK5(X2,X1))
| ~ contains_pq(i(X0),sK5(X2,X1)) ),
inference(resolution,[],[f689,f174]) ).
fof(f689,plain,
! [X2,X0,X1] :
( issmallestelement_pq(i(X0),sK5(X1,X2))
| less_than(sK3(X0),X2)
| ~ pi_find_min(X0)
| issmallestelement_pq(X1,X2) ),
inference(resolution,[],[f674,f178]) ).
fof(f1858,plain,
! [X2,X3,X0,X1,X4] :
( remove_slb(insert_slb(X0,pair(X1,X2)),findmin_pqp_res(X3)) = insert_slb(remove_slb(X0,findmin_pqp_res(X3)),pair(X1,X2))
| findmin_pqp_res(X3) = X1
| findmin_cpq_eff(triple(X3,X0,X4)) = triple(X3,update_slb(X0,findmin_pqp_res(X3)),bad)
| create_slb = X0 ),
inference(resolution,[],[f201,f202]) ).
fof(f1857,plain,
! [X2,X3,X0,X1,X4,X5] :
( remove_slb(insert_slb(X0,pair(X1,X2)),X3) = insert_slb(remove_slb(X0,X3),pair(X1,X2))
| X1 = X3
| triple(X4,X0,bad) = remove_cpq(triple(X4,X0,X5),X3) ),
inference(resolution,[],[f201,f197]) ).
fof(f1856,plain,
! [X2,X3,X0,X1,X4,X5] :
( remove_slb(insert_slb(insert_slb(X0,pair(X1,X2)),pair(X3,X4)),X5) = insert_slb(remove_slb(insert_slb(X0,pair(X1,X2)),X5),pair(X3,X4))
| X3 = X5
| ~ contains_slb(X0,X5) ),
inference(resolution,[],[f201,f210]) ).
fof(f1859,plain,
! [X2,X3,X0,X1,X4] :
( insert_slb(X0,pair(X3,X4)) = remove_slb(insert_slb(insert_slb(X0,pair(X1,X2)),pair(X3,X4)),X1)
| X1 = X3 ),
inference(forward_demodulation,[],[f1855,f184]) ).
fof(f1855,plain,
! [X2,X3,X0,X1,X4] :
( remove_slb(insert_slb(insert_slb(X0,pair(X1,X2)),pair(X3,X4)),X1) = insert_slb(remove_slb(insert_slb(X0,pair(X1,X2)),X1),pair(X3,X4))
| X1 = X3 ),
inference(resolution,[],[f201,f221]) ).
fof(f201,plain,
! [X2,X3,X0,X1] :
( ~ contains_slb(X0,X2)
| remove_slb(insert_slb(X0,pair(X1,X3)),X2) = insert_slb(remove_slb(X0,X2),pair(X1,X3))
| X1 = X2 ),
inference(cnf_transformation,[],[f107]) ).
fof(f107,plain,
! [X0,X1,X2,X3] :
( remove_slb(insert_slb(X0,pair(X1,X3)),X2) = insert_slb(remove_slb(X0,X2),pair(X1,X3))
| ~ contains_slb(X0,X2)
| X1 = X2 ),
inference(flattening,[],[f106]) ).
fof(f106,plain,
! [X0,X1,X2,X3] :
( remove_slb(insert_slb(X0,pair(X1,X3)),X2) = insert_slb(remove_slb(X0,X2),pair(X1,X3))
| ~ contains_slb(X0,X2)
| X1 = X2 ),
inference(ennf_transformation,[],[f25]) ).
fof(f25,axiom,
! [X0,X1,X2,X3] :
( ( contains_slb(X0,X2)
& X1 != X2 )
=> remove_slb(insert_slb(X0,pair(X1,X3)),X2) = insert_slb(remove_slb(X0,X2),pair(X1,X3)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax25) ).
fof(f1854,plain,
! [X2,X3,X0,X1,X4] :
( findmin_cpq_eff(triple(X0,X1,X2)) = triple(X0,update_slb(X1,findmin_pqp_res(X0)),bad)
| create_slb = X1
| lookup_slb(X1,findmin_pqp_res(X0)) = lookup_slb(insert_slb(X1,pair(X3,X4)),findmin_pqp_res(X0))
| findmin_pqp_res(X0) = X3 ),
inference(resolution,[],[f202,f200]) ).
fof(f1853,plain,
! [X2,X3,X0,X1,X4] :
( findmin_cpq_eff(triple(X0,insert_slb(X1,pair(X2,X3)),X4)) = triple(X0,update_slb(insert_slb(X1,pair(X2,X3)),findmin_pqp_res(X0)),bad)
| create_slb = insert_slb(X1,pair(X2,X3))
| contains_slb(X1,findmin_pqp_res(X0))
| findmin_pqp_res(X0) = X2 ),
inference(resolution,[],[f202,f209]) ).
fof(f202,plain,
! [X2,X0,X1] :
( contains_slb(X1,findmin_pqp_res(X0))
| findmin_cpq_eff(triple(X0,X1,X2)) = triple(X0,update_slb(X1,findmin_pqp_res(X0)),bad)
| create_slb = X1 ),
inference(cnf_transformation,[],[f109]) ).
fof(f109,plain,
! [X0,X1,X2] :
( findmin_cpq_eff(triple(X0,X1,X2)) = triple(X0,update_slb(X1,findmin_pqp_res(X0)),bad)
| contains_slb(X1,findmin_pqp_res(X0))
| create_slb = X1 ),
inference(flattening,[],[f108]) ).
fof(f108,plain,
! [X0,X1,X2] :
( findmin_cpq_eff(triple(X0,X1,X2)) = triple(X0,update_slb(X1,findmin_pqp_res(X0)),bad)
| contains_slb(X1,findmin_pqp_res(X0))
| create_slb = X1 ),
inference(ennf_transformation,[],[f69]) ).
fof(f69,plain,
! [X0,X1,X2] :
( ( ~ contains_slb(X1,findmin_pqp_res(X0))
& create_slb != X1 )
=> findmin_cpq_eff(triple(X0,X1,X2)) = triple(X0,update_slb(X1,findmin_pqp_res(X0)),bad) ),
inference(rectify,[],[f47]) ).
fof(f47,axiom,
! [X0,X1,X2,X3] :
( ( ~ contains_slb(X1,findmin_pqp_res(X0))
& create_slb != X1 )
=> findmin_cpq_eff(triple(X0,X1,X2)) = triple(X0,update_slb(X1,findmin_pqp_res(X0)),bad) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax47) ).
fof(f1837,plain,
! [X2,X3,X0,X1] : insert_pq(insert_pq(insert_pq(X0,X1),X3),X2) = removemin_pq_eff(insert_pq(insert_pq(insert_pq(insert_pq(X0,bottom),X1),X2),X3),bottom),
inference(superposition,[],[f889,f317]) ).
fof(f1836,plain,
! [X2,X3,X0,X1] : insert_pq(insert_pq(insert_pq(X0,X1),X3),X2) = removemin_pq_eff(insert_pq(insert_pq(insert_pq(insert_pq(X0,X2),bottom),X1),X3),bottom),
inference(superposition,[],[f889,f317]) ).
fof(f1835,plain,
! [X2,X3,X0,X1] : insert_pq(insert_pq(insert_pq(X0,X1),X3),X2) = removemin_pq_eff(insert_pq(insert_pq(insert_pq(insert_pq(X0,bottom),X2),X1),X3),bottom),
inference(superposition,[],[f889,f761]) ).
fof(f1834,plain,
! [X2,X3,X0,X1] : insert_pq(insert_pq(insert_pq(X0,X1),X3),X2) = removemin_pq_eff(insert_pq(insert_pq(insert_pq(insert_pq(X0,bottom),X2),X1),X3),bottom),
inference(superposition,[],[f889,f761]) ).
fof(f1833,plain,
! [X2,X3,X0,X1] : insert_pq(insert_pq(insert_pq(X0,X1),X3),X2) = removemin_pq_eff(insert_pq(insert_pq(insert_pq(insert_pq(X0,X2),X1),bottom),X3),bottom),
inference(superposition,[],[f889,f766]) ).
fof(f1832,plain,
! [X2,X3,X0,X1] : insert_pq(insert_pq(insert_pq(X0,X1),X3),X2) = removemin_pq_eff(insert_pq(insert_pq(insert_pq(insert_pq(X0,X2),X1),bottom),X3),bottom),
inference(superposition,[],[f889,f766]) ).
fof(f1829,plain,
! [X2,X3,X0,X1,X4] : insert_pq(insert_pq(insert_pq(insert_pq(X0,X1),X2),X4),X3) = removemin_pq_eff(insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(X0,X3),X1),X2),bottom),X4),bottom),
inference(superposition,[],[f889,f317]) ).
fof(f1828,plain,
! [X2,X3,X0,X1,X4] : insert_pq(insert_pq(insert_pq(insert_pq(X0,X1),X2),X4),X3) = removemin_pq_eff(insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(X0,X2),X3),X1),bottom),X4),bottom),
inference(superposition,[],[f889,f317]) ).
fof(f1827,plain,
! [X2,X3,X0,X1,X4] : insert_pq(insert_pq(insert_pq(insert_pq(X0,X1),X2),X4),X3) = removemin_pq_eff(insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(X0,X3),X2),X1),bottom),X4),bottom),
inference(superposition,[],[f889,f761]) ).
fof(f1826,plain,
! [X2,X3,X0,X1,X4] : insert_pq(insert_pq(insert_pq(insert_pq(X0,X1),X2),X4),X3) = removemin_pq_eff(insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(X0,X3),X2),X1),bottom),X4),bottom),
inference(superposition,[],[f889,f761]) ).
fof(f1825,plain,
! [X2,X3,X0,X1,X4] : insert_pq(insert_pq(insert_pq(insert_pq(X0,X1),X2),X4),X3) = removemin_pq_eff(insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(X0,X2),X1),X3),bottom),X4),bottom),
inference(superposition,[],[f889,f766]) ).
fof(f1824,plain,
! [X2,X3,X0,X1,X4] : insert_pq(insert_pq(insert_pq(insert_pq(X0,X1),X2),X4),X3) = removemin_pq_eff(insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(X0,X2),X1),X3),bottom),X4),bottom),
inference(superposition,[],[f889,f766]) ).
fof(f1823,plain,
! [X2,X3,X0,X1] : insert_pq(insert_pq(insert_pq(X0,X1),X3),X2) = removemin_pq_eff(insert_pq(insert_pq(insert_pq(insert_pq(X0,X2),X1),bottom),X3),bottom),
inference(superposition,[],[f889,f186]) ).
fof(f1822,plain,
! [X2,X3,X0,X1] : insert_pq(insert_pq(insert_pq(X0,X1),X3),X2) = removemin_pq_eff(insert_pq(insert_pq(insert_pq(insert_pq(X0,X2),X1),bottom),X3),bottom),
inference(superposition,[],[f889,f186]) ).
fof(f889,plain,
! [X2,X0,X1] : insert_pq(insert_pq(X0,X1),X2) = removemin_pq_eff(insert_pq(insert_pq(insert_pq(X0,X2),bottom),X1),bottom),
inference(superposition,[],[f466,f317]) ).
fof(f1809,plain,
! [X2,X0,X1] : insert_pq(insert_pq(X0,X2),X1) = removemin_pq_eff(insert_pq(insert_pq(insert_pq(X0,X1),bottom),X2),bottom),
inference(superposition,[],[f854,f766]) ).
fof(f1808,plain,
! [X2,X0,X1] : insert_pq(insert_pq(X0,X2),X1) = removemin_pq_eff(insert_pq(insert_pq(insert_pq(X0,X1),bottom),X2),bottom),
inference(superposition,[],[f854,f766]) ).
fof(f1807,plain,
! [X2,X3,X0,X1] : insert_pq(insert_pq(insert_pq(X0,X1),X3),X2) = removemin_pq_eff(insert_pq(insert_pq(insert_pq(insert_pq(X0,X2),X1),bottom),X3),bottom),
inference(superposition,[],[f854,f317]) ).
fof(f1806,plain,
! [X2,X3,X0,X1] : insert_pq(insert_pq(insert_pq(X0,X1),X3),X2) = removemin_pq_eff(insert_pq(insert_pq(insert_pq(insert_pq(X0,bottom),X2),X1),X3),bottom),
inference(superposition,[],[f854,f317]) ).
fof(f1805,plain,
! [X2,X3,X0,X1] : insert_pq(insert_pq(insert_pq(X0,X1),X3),X2) = removemin_pq_eff(insert_pq(insert_pq(insert_pq(insert_pq(X0,X2),bottom),X1),X3),bottom),
inference(superposition,[],[f854,f761]) ).
fof(f1804,plain,
! [X2,X3,X0,X1] : insert_pq(insert_pq(insert_pq(X0,X1),X3),X2) = removemin_pq_eff(insert_pq(insert_pq(insert_pq(insert_pq(X0,X2),bottom),X1),X3),bottom),
inference(superposition,[],[f854,f761]) ).
fof(f1803,plain,
! [X2,X3,X0,X1] : insert_pq(insert_pq(insert_pq(X0,X1),X3),X2) = removemin_pq_eff(insert_pq(insert_pq(insert_pq(insert_pq(X0,bottom),X1),X2),X3),bottom),
inference(superposition,[],[f854,f766]) ).
fof(f1802,plain,
! [X2,X3,X0,X1] : insert_pq(insert_pq(insert_pq(X0,X1),X3),X2) = removemin_pq_eff(insert_pq(insert_pq(insert_pq(insert_pq(X0,bottom),X1),X2),X3),bottom),
inference(superposition,[],[f854,f766]) ).
fof(f1801,plain,
! [X2,X0,X1] : insert_pq(insert_pq(X0,X2),X1) = removemin_pq_eff(insert_pq(insert_pq(insert_pq(X0,X1),bottom),X2),bottom),
inference(superposition,[],[f854,f186]) ).
fof(f1800,plain,
! [X2,X0,X1] : insert_pq(insert_pq(X0,X2),X1) = removemin_pq_eff(insert_pq(insert_pq(insert_pq(X0,X1),bottom),X2),bottom),
inference(superposition,[],[f854,f186]) ).
fof(f1799,plain,
! [X2,X3,X0,X1,X4] : insert_pq(insert_pq(insert_pq(insert_pq(X0,X1),X2),X3),X4) = removemin_pq_eff(insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(X0,bottom),X1),X2),X4),X3),bottom),
inference(superposition,[],[f854,f317]) ).
fof(f1798,plain,
! [X2,X3,X0,X1,X4] : insert_pq(insert_pq(insert_pq(insert_pq(X0,X1),X2),X3),X4) = removemin_pq_eff(insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(X0,X2),bottom),X1),X4),X3),bottom),
inference(superposition,[],[f854,f317]) ).
fof(f1797,plain,
! [X2,X3,X0,X1,X4] : insert_pq(insert_pq(insert_pq(insert_pq(X0,X1),X2),X3),X4) = removemin_pq_eff(insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(X0,bottom),X2),X1),X4),X3),bottom),
inference(superposition,[],[f854,f761]) ).
fof(f1796,plain,
! [X2,X3,X0,X1,X4] : insert_pq(insert_pq(insert_pq(insert_pq(X0,X1),X2),X3),X4) = removemin_pq_eff(insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(X0,bottom),X2),X1),X4),X3),bottom),
inference(superposition,[],[f854,f761]) ).
fof(f1795,plain,
! [X2,X3,X0,X1,X4] : insert_pq(insert_pq(insert_pq(insert_pq(X0,X1),X2),X3),X4) = removemin_pq_eff(insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(X0,X2),X1),bottom),X4),X3),bottom),
inference(superposition,[],[f854,f766]) ).
fof(f1794,plain,
! [X2,X3,X0,X1,X4] : insert_pq(insert_pq(insert_pq(insert_pq(X0,X1),X2),X3),X4) = removemin_pq_eff(insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(X0,X2),X1),bottom),X4),X3),bottom),
inference(superposition,[],[f854,f766]) ).
fof(f1793,plain,
! [X2,X3,X0,X1] : insert_pq(insert_pq(insert_pq(X0,X1),X2),X3) = removemin_pq_eff(insert_pq(insert_pq(insert_pq(insert_pq(X0,bottom),X1),X3),X2),bottom),
inference(superposition,[],[f854,f186]) ).
fof(f1792,plain,
! [X2,X3,X0,X1] : insert_pq(insert_pq(insert_pq(X0,X1),X2),X3) = removemin_pq_eff(insert_pq(insert_pq(insert_pq(insert_pq(X0,bottom),X1),X3),X2),bottom),
inference(superposition,[],[f854,f186]) ).
fof(f854,plain,
! [X2,X0,X1] : insert_pq(insert_pq(X0,X1),X2) = removemin_pq_eff(insert_pq(insert_pq(insert_pq(X0,bottom),X2),X1),bottom),
inference(superposition,[],[f467,f317]) ).
fof(f1758,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] : contains_pq(insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(X0,X2),X3),X1),X4),X5),X6),X7),X2),
inference(superposition,[],[f818,f317]) ).
fof(f1755,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] : contains_pq(insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(X0,X2),X1),X3),X4),X5),X6),X7),X2),
inference(superposition,[],[f818,f766]) ).
fof(f1754,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] : contains_pq(insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(X0,X2),X1),X3),X4),X5),X6),X7),X2),
inference(superposition,[],[f818,f766]) ).
fof(f1751,plain,
! [X2,X3,X0,X1,X8,X6,X7,X4,X5] : contains_pq(insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(X0,X3),X1),X2),X4),X5),X6),X7),X8),X3),
inference(superposition,[],[f818,f317]) ).
fof(f1750,plain,
! [X2,X3,X0,X1,X8,X6,X7,X4,X5] : contains_pq(insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(X0,X2),X3),X1),X4),X5),X6),X7),X8),X3),
inference(superposition,[],[f818,f317]) ).
fof(f1749,plain,
! [X2,X3,X0,X1,X8,X6,X7,X4,X5] : contains_pq(insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(X0,X3),X2),X1),X4),X5),X6),X7),X8),X3),
inference(superposition,[],[f818,f761]) ).
fof(f1748,plain,
! [X2,X3,X0,X1,X8,X6,X7,X4,X5] : contains_pq(insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(X0,X3),X2),X1),X4),X5),X6),X7),X8),X3),
inference(superposition,[],[f818,f761]) ).
fof(f1745,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] : contains_pq(insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(X0,X2),X1),X3),X4),X5),X6),X7),X2),
inference(superposition,[],[f818,f186]) ).
fof(f1744,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] : contains_pq(insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(X0,X2),X1),X3),X4),X5),X6),X7),X2),
inference(superposition,[],[f818,f186]) ).
fof(f1743,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( X0 = X1
| remove_pq(insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(X2,X1),X3),X4),X5),X6),X7),X0),X1) = insert_pq(remove_pq(insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(X2,X1),X3),X4),X5),X6),X7),X1),X0) ),
inference(resolution,[],[f818,f190]) ).
fof(f1742,plain,
! [X2,X3,X0,X1,X8,X6,X7,X4,X5] : bottom = findmin_pq_res(insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(X0,bottom),X1),X2),X3),X4),X5),X6),X7),X8),bottom),
inference(resolution,[],[f818,f530]) ).
fof(f1741,plain,
! [X2,X3,X0,X1,X8,X6,X7,X4,X5] : bottom = removemin_pq_res(insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(X0,bottom),X1),X2),X3),X4),X5),X6),X7),X8),bottom),
inference(resolution,[],[f818,f524]) ).
fof(f1740,plain,
! [X2,X3,X0,X1,X6,X4,X5] : removemin_pq_eff(insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(X0,bottom),X1),X2),X3),X4),X5),X6),bottom) = remove_pq(insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(X0,bottom),X1),X2),X3),X4),X5),X6),bottom),
inference(resolution,[],[f818,f461]) ).
fof(f1739,plain,
! [X2,X3,X0,X1,X4,X5] : removemin_pq_eff(insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(X0,bottom),X1),X2),X3),X4),X5),bottom) = remove_pq(insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(X0,bottom),X1),X2),X3),X4),X5),bottom),
inference(resolution,[],[f818,f458]) ).
fof(f1738,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] : bottom = findmin_pq_res(insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(X0,bottom),X1),X2),X3),X4),X5),X6),X7),bottom),
inference(resolution,[],[f818,f316]) ).
fof(f1737,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] : bottom = removemin_pq_res(insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(X0,bottom),X1),X2),X3),X4),X5),X6),X7),bottom),
inference(resolution,[],[f818,f314]) ).
fof(f1736,plain,
! [X2,X3,X0,X1,X6,X4,X5] : bottom = findmin_pq_res(insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(X0,bottom),X1),X2),X3),X4),X5),X6),bottom),
inference(resolution,[],[f818,f311]) ).
fof(f1735,plain,
! [X2,X3,X0,X1,X4,X5] : bottom = findmin_pq_res(insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(X0,bottom),X1),X2),X3),X4),X5),bottom),
inference(resolution,[],[f818,f308]) ).
fof(f1734,plain,
! [X2,X3,X0,X1,X6,X4,X5] : bottom = removemin_pq_res(insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(X0,bottom),X1),X2),X3),X4),X5),X6),bottom),
inference(resolution,[],[f818,f304]) ).
fof(f1733,plain,
! [X2,X3,X0,X1,X4,X5] : bottom = removemin_pq_res(insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(X0,bottom),X1),X2),X3),X4),X5),bottom),
inference(resolution,[],[f818,f301]) ).
fof(f1732,plain,
! [X2,X3,X0,X1,X6,X4,X5] : insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(X0,bottom),X1),X2),X3),X4),X5),X6) = findmin_pq_eff(insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(X0,bottom),X1),X2),X3),X4),X5),X6),bottom),
inference(resolution,[],[f818,f297]) ).
fof(f1731,plain,
! [X2,X3,X0,X1,X4,X5] : insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(X0,bottom),X1),X2),X3),X4),X5) = findmin_pq_eff(insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(X0,bottom),X1),X2),X3),X4),X5),bottom),
inference(resolution,[],[f818,f294]) ).
fof(f1730,plain,
! [X2,X3,X0,X1,X6,X4,X5] : bottom = findmin_pq_res(insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(X0,bottom),X1),X2),X3),X4),X5),X6),bottom),
inference(resolution,[],[f818,f445]) ).
fof(f1729,plain,
! [X2,X3,X0,X1,X6,X4,X5] : bottom = removemin_pq_res(insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(X0,bottom),X1),X2),X3),X4),X5),X6),bottom),
inference(resolution,[],[f818,f446]) ).
fof(f1726,plain,
! [X2,X3,X0,X1,X8,X6,X7,X4,X5] :
( X0 = X1
| contains_pq(insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(X2,X0),X3),X4),X5),X6),X7),X8),X0) ),
inference(resolution,[],[f818,f548]) ).
fof(f818,plain,
! [X2,X3,X0,X1,X6,X4,X5] : contains_pq(insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(X0,X3),X1),X2),X4),X5),X6),X3),
inference(superposition,[],[f357,f317]) ).
fof(f1701,plain,
! [X2,X0,X1] : update_slb(insert_slb(X0,pair(X1,X2)),bottom) = insert_slb(update_slb(X0,bottom),pair(X1,X2)),
inference(resolution,[],[f199,f152]) ).
fof(f1700,plain,
! [X2,X0,X1] : insert_slb(update_slb(X0,X2),pair(X1,X2)) = update_slb(insert_slb(X0,pair(X1,X2)),X2),
inference(resolution,[],[f199,f151]) ).
fof(f1724,plain,
! [X2,X3,X0,X1] :
( update_slb(insert_slb(X0,pair(X1,sK5(i(X2),X3))),sK3(X2)) = insert_slb(update_slb(X0,sK3(X2)),pair(X1,sK5(i(X2),X3)))
| ~ pi_find_min(X2)
| issmallestelement_pq(i(X2),X3) ),
inference(resolution,[],[f199,f289]) ).
fof(f1723,plain,
! [X2,X3,X0,X1,X4] :
( update_slb(insert_slb(X0,pair(X1,X2)),sK5(X3,sK5(X4,X2))) = insert_slb(update_slb(X0,sK5(X3,sK5(X4,X2))),pair(X1,X2))
| issmallestelement_pq(X4,X2)
| issmallestelement_pq(X3,sK5(X4,X2)) ),
inference(resolution,[],[f199,f385]) ).
fof(f1722,plain,
! [X2,X3,X0,X1,X4] :
( update_slb(insert_slb(X0,pair(X1,X2)),sK5(X3,X4)) = insert_slb(update_slb(X0,sK5(X3,X4)),pair(X1,X2))
| less_than(X2,X4)
| issmallestelement_pq(X3,X4) ),
inference(resolution,[],[f199,f266]) ).
fof(f1721,plain,
! [X2,X3,X0,X1,X4,X5] :
( update_slb(insert_slb(X0,pair(X1,X2)),sK5(X3,X4)) = insert_slb(update_slb(X0,sK5(X3,X4)),pair(X1,X2))
| less_than(X2,X5)
| less_than(X5,X4)
| issmallestelement_pq(X3,X4) ),
inference(resolution,[],[f199,f380]) ).
fof(f1720,plain,
! [X2,X3,X0,X1,X4] :
( update_slb(insert_slb(X0,pair(X1,X2)),sK3(X3)) = insert_slb(update_slb(X0,sK3(X3)),pair(X1,X2))
| issmallestelement_pq(i(X3),X4)
| less_than(X2,X4)
| ~ pi_find_min(X3) ),
inference(resolution,[],[f199,f674]) ).
fof(f1719,plain,
! [X2,X3,X0,X1] :
( update_slb(insert_slb(X0,pair(X1,X2)),sK5(X3,X2)) = insert_slb(update_slb(X0,sK5(X3,X2)),pair(X1,X2))
| issmallestelement_pq(X3,X2) ),
inference(resolution,[],[f199,f234]) ).
fof(f1718,plain,
! [X2,X3,X0,X1,X4] :
( update_slb(insert_slb(X0,pair(X1,X2)),X3) = insert_slb(update_slb(X0,X3),pair(X1,X2))
| issmallestelement_pq(i(X4),X2)
| less_than(sK3(X4),X3)
| ~ pi_find_min(X4) ),
inference(resolution,[],[f199,f674]) ).
fof(f1717,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( update_slb(insert_slb(X0,pair(X1,X2)),X3) = insert_slb(update_slb(X0,X3),pair(X1,X2))
| less_than(X2,X4)
| less_than(X4,X5)
| less_than(X5,X6)
| less_than(X6,X3) ),
inference(resolution,[],[f199,f476]) ).
fof(f1716,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( update_slb(insert_slb(X0,pair(X1,X2)),X3) = insert_slb(update_slb(X0,X3),pair(X1,X2))
| less_than(X4,X5)
| less_than(X5,X6)
| less_than(X6,X3)
| less_than(X2,X4) ),
inference(resolution,[],[f199,f476]) ).
fof(f1715,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( update_slb(insert_slb(X0,pair(X1,X2)),X3) = insert_slb(update_slb(X0,X3),pair(X1,X2))
| less_than(X4,X5)
| less_than(X5,X3)
| less_than(X2,X6)
| less_than(X6,X4) ),
inference(resolution,[],[f199,f476]) ).
fof(f1714,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( update_slb(insert_slb(X0,pair(X1,X2)),X3) = insert_slb(update_slb(X0,X3),pair(X1,X2))
| less_than(X4,X3)
| less_than(X2,X5)
| less_than(X5,X6)
| less_than(X6,X4) ),
inference(resolution,[],[f199,f476]) ).
fof(f1713,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( update_slb(insert_slb(X0,pair(X1,X2)),X3) = insert_slb(update_slb(X0,X3),pair(X1,X2))
| less_than(X2,X4)
| less_than(X4,X5)
| less_than(X5,X6)
| less_than(X6,X3) ),
inference(resolution,[],[f199,f476]) ).
fof(f1712,plain,
! [X2,X3,X0,X1,X4,X5] :
( update_slb(insert_slb(X0,pair(X1,X2)),X3) = insert_slb(update_slb(X0,X3),pair(X1,X2))
| less_than(sK5(X4,X5),X3)
| less_than(X2,X5)
| issmallestelement_pq(X4,X5) ),
inference(resolution,[],[f199,f380]) ).
fof(f1711,plain,
! [X2,X3,X0,X1,X4,X5] :
( update_slb(insert_slb(X0,pair(X1,X2)),X3) = insert_slb(update_slb(X0,X3),pair(X1,X2))
| less_than(sK5(X4,X2),X5)
| less_than(X5,X3)
| issmallestelement_pq(X4,X2) ),
inference(resolution,[],[f199,f380]) ).
fof(f1710,plain,
! [X2,X3,X0,X1,X4,X5] :
( update_slb(insert_slb(X0,pair(X1,X2)),X3) = insert_slb(update_slb(X0,X3),pair(X1,X2))
| less_than(X2,X4)
| less_than(X4,X5)
| less_than(X5,X3) ),
inference(resolution,[],[f199,f268]) ).
fof(f1709,plain,
! [X2,X3,X0,X1,X4,X5] :
( update_slb(insert_slb(X0,pair(X1,X2)),X3) = insert_slb(update_slb(X0,X3),pair(X1,X2))
| less_than(X4,X5)
| less_than(X5,X3)
| less_than(X2,X4) ),
inference(resolution,[],[f199,f268]) ).
fof(f1708,plain,
! [X2,X3,X0,X1,X4,X5] :
( update_slb(insert_slb(X0,pair(X1,X2)),X3) = insert_slb(update_slb(X0,X3),pair(X1,X2))
| less_than(X4,X3)
| less_than(X2,X5)
| less_than(X5,X4) ),
inference(resolution,[],[f199,f268]) ).
fof(f1707,plain,
! [X2,X3,X0,X1,X4,X5] :
( update_slb(insert_slb(X0,pair(X1,X2)),X3) = insert_slb(update_slb(X0,X3),pair(X1,X2))
| less_than(X2,X4)
| less_than(X4,X5)
| less_than(X5,X3) ),
inference(resolution,[],[f199,f268]) ).
fof(f1706,plain,
! [X2,X3,X0,X1,X4] :
( update_slb(insert_slb(X0,pair(X1,X2)),X3) = insert_slb(update_slb(X0,X3),pair(X1,X2))
| less_than(X2,X4)
| less_than(X4,X3) ),
inference(resolution,[],[f199,f264]) ).
fof(f1705,plain,
! [X2,X3,X0,X1,X4] :
( update_slb(insert_slb(X0,pair(X1,X2)),X3) = insert_slb(update_slb(X0,X3),pair(X1,X2))
| less_than(X4,X3)
| less_than(X2,X4) ),
inference(resolution,[],[f199,f264]) ).
fof(f1704,plain,
! [X2,X3,X0,X1,X4] :
( update_slb(insert_slb(X0,pair(X1,X2)),X3) = insert_slb(update_slb(X0,X3),pair(X1,X2))
| less_than(X2,X4)
| less_than(X4,X3) ),
inference(resolution,[],[f199,f264]) ).
fof(f1703,plain,
! [X2,X3,X0,X1] :
( update_slb(insert_slb(X0,pair(X1,X2)),X3) = insert_slb(update_slb(X0,X3),pair(X1,X2))
| less_than(X2,X3) ),
inference(resolution,[],[f199,f168]) ).
fof(f1702,plain,
! [X2,X3,X0,X1] :
( update_slb(insert_slb(X0,pair(X1,X2)),X3) = insert_slb(update_slb(X0,X3),pair(X1,X2))
| less_than(X2,X3) ),
inference(resolution,[],[f199,f168]) ).
fof(f199,plain,
! [X2,X3,X0,X1] :
( ~ less_than(X2,X3)
| update_slb(insert_slb(X0,pair(X1,X3)),X2) = insert_slb(update_slb(X0,X2),pair(X1,X3)) ),
inference(cnf_transformation,[],[f103]) ).
fof(f103,plain,
! [X0,X1,X2,X3] :
( update_slb(insert_slb(X0,pair(X1,X3)),X2) = insert_slb(update_slb(X0,X2),pair(X1,X3))
| ~ less_than(X2,X3) ),
inference(ennf_transformation,[],[f30]) ).
fof(f30,axiom,
! [X0,X1,X2,X3] :
( less_than(X2,X3)
=> update_slb(insert_slb(X0,pair(X1,X3)),X2) = insert_slb(update_slb(X0,X2),pair(X1,X3)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax30) ).
fof(f1695,plain,
! [X2,X0,X1] : insert_pq(insert_pq(X0,X2),X1) = removemin_pq_eff(insert_pq(insert_pq(insert_pq(X0,X1),bottom),X2),bottom),
inference(superposition,[],[f798,f186]) ).
fof(f1694,plain,
! [X2,X0,X1] : insert_pq(insert_pq(X0,X2),X1) = removemin_pq_eff(insert_pq(insert_pq(insert_pq(X0,X1),bottom),X2),bottom),
inference(superposition,[],[f798,f186]) ).
fof(f1693,plain,
! [X2,X0,X1] : insert_pq(insert_pq(X0,X2),X1) = removemin_pq_eff(insert_pq(insert_pq(insert_pq(X0,bottom),X1),X2),bottom),
inference(superposition,[],[f798,f317]) ).
fof(f1687,plain,
! [X2,X3,X0,X1] : insert_pq(insert_pq(insert_pq(X0,X1),X3),X2) = removemin_pq_eff(insert_pq(insert_pq(insert_pq(insert_pq(X0,X3),X1),X2),bottom),bottom),
inference(superposition,[],[f798,f317]) ).
fof(f1686,plain,
! [X2,X3,X0,X1] : insert_pq(insert_pq(insert_pq(X0,X1),X3),X2) = removemin_pq_eff(insert_pq(insert_pq(insert_pq(insert_pq(X0,X2),X3),X1),bottom),bottom),
inference(superposition,[],[f798,f317]) ).
fof(f1685,plain,
! [X2,X3,X0,X1] : insert_pq(insert_pq(insert_pq(X0,X1),X3),X2) = removemin_pq_eff(insert_pq(insert_pq(insert_pq(insert_pq(X0,X3),X2),X1),bottom),bottom),
inference(superposition,[],[f798,f761]) ).
fof(f1684,plain,
! [X2,X3,X0,X1] : insert_pq(insert_pq(insert_pq(X0,X1),X3),X2) = removemin_pq_eff(insert_pq(insert_pq(insert_pq(insert_pq(X0,X3),X2),X1),bottom),bottom),
inference(superposition,[],[f798,f761]) ).
fof(f1683,plain,
! [X2,X3,X0,X1] : insert_pq(insert_pq(insert_pq(X0,X1),X3),X2) = removemin_pq_eff(insert_pq(insert_pq(insert_pq(insert_pq(X0,X2),X1),X3),bottom),bottom),
inference(superposition,[],[f798,f766]) ).
fof(f1682,plain,
! [X2,X3,X0,X1] : insert_pq(insert_pq(insert_pq(X0,X1),X3),X2) = removemin_pq_eff(insert_pq(insert_pq(insert_pq(insert_pq(X0,X2),X1),X3),bottom),bottom),
inference(superposition,[],[f798,f766]) ).
fof(f1679,plain,
! [X2,X3,X0,X1,X4] : insert_pq(insert_pq(insert_pq(insert_pq(X0,X1),X2),X4),X3) = removemin_pq_eff(insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(X0,X3),X1),X2),X4),bottom),bottom),
inference(superposition,[],[f798,f317]) ).
fof(f1678,plain,
! [X2,X3,X0,X1,X4] : insert_pq(insert_pq(insert_pq(insert_pq(X0,X1),X2),X4),X3) = removemin_pq_eff(insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(X0,X2),X3),X1),X4),bottom),bottom),
inference(superposition,[],[f798,f317]) ).
fof(f1677,plain,
! [X2,X3,X0,X1,X4] : insert_pq(insert_pq(insert_pq(insert_pq(X0,X1),X2),X4),X3) = removemin_pq_eff(insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(X0,X3),X2),X1),X4),bottom),bottom),
inference(superposition,[],[f798,f761]) ).
fof(f1676,plain,
! [X2,X3,X0,X1,X4] : insert_pq(insert_pq(insert_pq(insert_pq(X0,X1),X2),X4),X3) = removemin_pq_eff(insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(X0,X3),X2),X1),X4),bottom),bottom),
inference(superposition,[],[f798,f761]) ).
fof(f1675,plain,
! [X2,X3,X0,X1,X4] : insert_pq(insert_pq(insert_pq(insert_pq(X0,X1),X2),X4),X3) = removemin_pq_eff(insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(X0,X2),X1),X3),X4),bottom),bottom),
inference(superposition,[],[f798,f766]) ).
fof(f1674,plain,
! [X2,X3,X0,X1,X4] : insert_pq(insert_pq(insert_pq(insert_pq(X0,X1),X2),X4),X3) = removemin_pq_eff(insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(X0,X2),X1),X3),X4),bottom),bottom),
inference(superposition,[],[f798,f766]) ).
fof(f1673,plain,
! [X2,X3,X0,X1] : insert_pq(insert_pq(insert_pq(X0,X1),X3),X2) = removemin_pq_eff(insert_pq(insert_pq(insert_pq(insert_pq(X0,X2),X1),X3),bottom),bottom),
inference(superposition,[],[f798,f186]) ).
fof(f1672,plain,
! [X2,X3,X0,X1] : insert_pq(insert_pq(insert_pq(X0,X1),X3),X2) = removemin_pq_eff(insert_pq(insert_pq(insert_pq(insert_pq(X0,X2),X1),X3),bottom),bottom),
inference(superposition,[],[f798,f186]) ).
fof(f798,plain,
! [X2,X0,X1] : insert_pq(insert_pq(X0,X1),X2) = removemin_pq_eff(insert_pq(insert_pq(insert_pq(X0,X2),X1),bottom),bottom),
inference(superposition,[],[f467,f317]) ).
fof(f1671,plain,
! [X2,X3,X0,X1] :
( update_slb(insert_slb(X0,pair(X1,X2)),X3) = insert_slb(update_slb(X0,X3),pair(X1,X3))
| less_than(X3,X2) ),
inference(resolution,[],[f198,f245]) ).
fof(f198,plain,
! [X2,X3,X0,X1] :
( ~ strictly_less_than(X3,X2)
| update_slb(insert_slb(X0,pair(X1,X3)),X2) = insert_slb(update_slb(X0,X2),pair(X1,X2)) ),
inference(cnf_transformation,[],[f102]) ).
fof(f102,plain,
! [X0,X1,X2,X3] :
( update_slb(insert_slb(X0,pair(X1,X3)),X2) = insert_slb(update_slb(X0,X2),pair(X1,X2))
| ~ strictly_less_than(X3,X2) ),
inference(ennf_transformation,[],[f29]) ).
fof(f29,axiom,
! [X0,X1,X2,X3] :
( strictly_less_than(X3,X2)
=> update_slb(insert_slb(X0,pair(X1,X3)),X2) = insert_slb(update_slb(X0,X2),pair(X1,X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax29) ).
fof(f1670,plain,
! [X2,X3,X0,X1,X4] :
( less_than(X0,X1)
| less_than(X1,sK5(i(X2),X3))
| less_than(sK3(X2),X4)
| less_than(X4,X0)
| ~ pi_find_min(X2)
| issmallestelement_pq(i(X2),X3) ),
inference(resolution,[],[f477,f289]) ).
fof(f1669,plain,
! [X2,X3,X0,X1,X4,X5] :
( less_than(X0,X1)
| less_than(X1,X2)
| less_than(sK5(X3,sK5(X4,X2)),X5)
| less_than(X5,X0)
| issmallestelement_pq(X4,X2)
| issmallestelement_pq(X3,sK5(X4,X2)) ),
inference(resolution,[],[f477,f385]) ).
fof(f1668,plain,
! [X2,X3,X0,X1,X4,X5] :
( less_than(X0,X1)
| less_than(X1,X2)
| less_than(sK5(X3,X4),X5)
| less_than(X5,X0)
| less_than(X2,X4)
| issmallestelement_pq(X3,X4) ),
inference(resolution,[],[f477,f266]) ).
fof(f1667,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( less_than(X0,X1)
| less_than(X1,X2)
| less_than(sK5(X3,X4),X5)
| less_than(X5,X0)
| less_than(X2,X6)
| less_than(X6,X4)
| issmallestelement_pq(X3,X4) ),
inference(resolution,[],[f477,f380]) ).
fof(f1666,plain,
! [X2,X3,X0,X1,X4,X5] :
( less_than(X0,X1)
| less_than(X1,X2)
| less_than(sK3(X3),X4)
| less_than(X4,X0)
| issmallestelement_pq(i(X3),X5)
| less_than(X2,X5)
| ~ pi_find_min(X3) ),
inference(resolution,[],[f477,f674]) ).
fof(f1665,plain,
! [X2,X3,X0,X1,X4] :
( less_than(X0,X1)
| less_than(X1,X2)
| less_than(sK5(X3,X2),X4)
| less_than(X4,X0)
| issmallestelement_pq(X3,X2) ),
inference(resolution,[],[f477,f234]) ).
fof(f1664,plain,
! [X2,X3,X0,X1,X4,X5] :
( less_than(X0,X1)
| less_than(X1,X2)
| less_than(X3,X4)
| less_than(X4,X0)
| issmallestelement_pq(i(X5),X2)
| less_than(sK3(X5),X3)
| ~ pi_find_min(X5) ),
inference(resolution,[],[f477,f674]) ).
fof(f1663,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( less_than(X0,X1)
| less_than(X1,X2)
| less_than(X3,X4)
| less_than(X4,X0)
| less_than(X2,X5)
| less_than(X5,X6)
| less_than(X6,X7)
| less_than(X7,X3) ),
inference(resolution,[],[f477,f476]) ).
fof(f1662,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( less_than(X0,X1)
| less_than(X1,X2)
| less_than(X3,X4)
| less_than(X4,X0)
| less_than(X5,X6)
| less_than(X6,X7)
| less_than(X7,X3)
| less_than(X2,X5) ),
inference(resolution,[],[f477,f476]) ).
fof(f1661,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( less_than(X0,X1)
| less_than(X1,X2)
| less_than(X3,X4)
| less_than(X4,X0)
| less_than(X5,X6)
| less_than(X6,X3)
| less_than(X2,X7)
| less_than(X7,X5) ),
inference(resolution,[],[f477,f476]) ).
fof(f1660,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( less_than(X0,X1)
| less_than(X1,X2)
| less_than(X3,X4)
| less_than(X4,X0)
| less_than(X5,X3)
| less_than(X2,X6)
| less_than(X6,X7)
| less_than(X7,X5) ),
inference(resolution,[],[f477,f476]) ).
fof(f1659,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( less_than(X0,X1)
| less_than(X1,X2)
| less_than(X3,X4)
| less_than(X4,X0)
| less_than(X2,X5)
| less_than(X5,X6)
| less_than(X6,X7)
| less_than(X7,X3) ),
inference(resolution,[],[f477,f476]) ).
fof(f1658,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( less_than(X0,X1)
| less_than(X1,X2)
| less_than(X3,X4)
| less_than(X4,X0)
| less_than(sK5(X5,X6),X3)
| less_than(X2,X6)
| issmallestelement_pq(X5,X6) ),
inference(resolution,[],[f477,f380]) ).
fof(f1657,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( less_than(X0,X1)
| less_than(X1,X2)
| less_than(X3,X4)
| less_than(X4,X0)
| less_than(sK5(X5,X2),X6)
| less_than(X6,X3)
| issmallestelement_pq(X5,X2) ),
inference(resolution,[],[f477,f380]) ).
fof(f1656,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( less_than(X0,X1)
| less_than(X1,X2)
| less_than(X3,X4)
| less_than(X4,X0)
| less_than(X2,X5)
| less_than(X5,X6)
| less_than(X6,X3) ),
inference(resolution,[],[f477,f268]) ).
fof(f1655,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( less_than(X0,X1)
| less_than(X1,X2)
| less_than(X3,X4)
| less_than(X4,X0)
| less_than(X5,X6)
| less_than(X6,X3)
| less_than(X2,X5) ),
inference(resolution,[],[f477,f268]) ).
fof(f1654,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( less_than(X0,X1)
| less_than(X1,X2)
| less_than(X3,X4)
| less_than(X4,X0)
| less_than(X5,X3)
| less_than(X2,X6)
| less_than(X6,X5) ),
inference(resolution,[],[f477,f268]) ).
fof(f1653,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( less_than(X0,X1)
| less_than(X1,X2)
| less_than(X3,X4)
| less_than(X4,X0)
| less_than(X2,X5)
| less_than(X5,X6)
| less_than(X6,X3) ),
inference(resolution,[],[f477,f268]) ).
fof(f1652,plain,
! [X2,X3,X0,X1,X4,X5] :
( less_than(X0,X1)
| less_than(X1,X2)
| less_than(X3,X4)
| less_than(X4,X0)
| less_than(X2,X5)
| less_than(X5,X3) ),
inference(resolution,[],[f477,f264]) ).
fof(f1651,plain,
! [X2,X3,X0,X1,X4,X5] :
( less_than(X0,X1)
| less_than(X1,X2)
| less_than(X3,X4)
| less_than(X4,X0)
| less_than(X5,X3)
| less_than(X2,X5) ),
inference(resolution,[],[f477,f264]) ).
fof(f1650,plain,
! [X2,X3,X0,X1,X4,X5] :
( less_than(X0,X1)
| less_than(X1,X2)
| less_than(X3,X4)
| less_than(X4,X0)
| less_than(X2,X5)
| less_than(X5,X3) ),
inference(resolution,[],[f477,f264]) ).
fof(f477,plain,
! [X2,X3,X0,X1,X4] :
( ~ less_than(X4,X3)
| less_than(X1,X2)
| less_than(X2,X3)
| less_than(X4,X0)
| less_than(X0,X1) ),
inference(resolution,[],[f268,f191]) ).
fof(f1634,plain,
! [X2,X3,X0,X1,X4,X5] :
( less_than(X0,X1)
| less_than(X1,X2)
| less_than(X2,X3)
| less_than(X3,X4)
| less_than(X5,X0)
| ~ less_than(X5,X4) ),
inference(resolution,[],[f476,f191]) ).
fof(f1633,plain,
! [X2,X3,X0,X1,X4,X5] :
( less_than(X0,X1)
| less_than(X1,X2)
| less_than(X2,X3)
| less_than(X3,X4)
| less_than(X4,X5)
| less_than(X5,X0) ),
inference(resolution,[],[f476,f253]) ).
fof(f1632,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( less_than(X0,X1)
| less_than(X1,X2)
| less_than(X2,X3)
| less_than(X3,X4)
| less_than(X5,X0)
| less_than(X4,X6)
| less_than(X6,X5) ),
inference(resolution,[],[f476,f269]) ).
fof(f1631,plain,
! [X2,X3,X0,X1,X4,X5] :
( less_than(sK5(X0,X1),X2)
| less_than(X2,X3)
| less_than(X3,X4)
| less_than(X4,X5)
| less_than(X5,X1)
| issmallestelement_pq(X0,X1) ),
inference(resolution,[],[f476,f255]) ).
fof(f1630,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( less_than(sK5(X0,X1),X2)
| less_than(X2,X3)
| less_than(X3,X4)
| less_than(X4,X5)
| issmallestelement_pq(X0,X1)
| less_than(X5,X6)
| less_than(X6,X1) ),
inference(resolution,[],[f476,f389]) ).
fof(f1629,plain,
! [X2,X3,X0,X1,X4] :
( less_than(sK5(X0,X1),X2)
| less_than(X2,X3)
| less_than(X3,X4)
| less_than(X4,X1)
| issmallestelement_pq(X0,X1) ),
inference(resolution,[],[f476,f178]) ).
fof(f1627,plain,
! [X2,X3,X0,X1,X4,X5] :
( less_than(X0,X1)
| less_than(X1,X2)
| less_than(X2,X3)
| less_than(X4,X0)
| less_than(X5,X4)
| ~ less_than(X5,X3) ),
inference(resolution,[],[f476,f191]) ).
fof(f1626,plain,
! [X2,X3,X0,X1,X4,X5] :
( less_than(X0,X1)
| less_than(X1,X2)
| less_than(X2,X3)
| less_than(X4,X0)
| less_than(X3,X5)
| less_than(X5,X4) ),
inference(resolution,[],[f476,f253]) ).
fof(f1625,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( less_than(X0,X1)
| less_than(X1,X2)
| less_than(X2,X3)
| less_than(X4,X0)
| less_than(X5,X4)
| less_than(X3,X6)
| less_than(X6,X5) ),
inference(resolution,[],[f476,f269]) ).
fof(f1624,plain,
! [X2,X3,X0,X1,X4,X5] :
( less_than(X0,X1)
| less_than(X1,X2)
| less_than(X2,X3)
| less_than(sK5(X4,X5),X0)
| less_than(X3,X5)
| issmallestelement_pq(X4,X5) ),
inference(resolution,[],[f476,f255]) ).
fof(f1623,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( less_than(X0,X1)
| less_than(X1,X2)
| less_than(X2,X3)
| less_than(sK5(X4,X5),X0)
| issmallestelement_pq(X4,X5)
| less_than(X3,X6)
| less_than(X6,X5) ),
inference(resolution,[],[f476,f389]) ).
fof(f1622,plain,
! [X2,X3,X0,X1,X4] :
( less_than(X0,X1)
| less_than(X1,X2)
| less_than(X2,X3)
| less_than(sK5(X4,X3),X0)
| issmallestelement_pq(X4,X3) ),
inference(resolution,[],[f476,f178]) ).
fof(f1620,plain,
! [X2,X3,X0,X1,X4,X5] :
( less_than(X0,X1)
| less_than(X1,X2)
| less_than(X3,X4)
| less_than(X4,X0)
| less_than(X5,X3)
| ~ less_than(X5,X2) ),
inference(resolution,[],[f476,f191]) ).
fof(f1619,plain,
! [X2,X3,X0,X1,X4,X5] :
( less_than(X0,X1)
| less_than(X1,X2)
| less_than(X3,X4)
| less_than(X4,X0)
| less_than(X2,X5)
| less_than(X5,X3) ),
inference(resolution,[],[f476,f253]) ).
fof(f1618,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( less_than(X0,X1)
| less_than(X1,X2)
| less_than(X3,X4)
| less_than(X4,X0)
| less_than(X5,X3)
| less_than(X2,X6)
| less_than(X6,X5) ),
inference(resolution,[],[f476,f269]) ).
fof(f1617,plain,
! [X2,X3,X0,X1,X4,X5] :
( less_than(X0,X1)
| less_than(X1,X2)
| less_than(sK5(X3,X4),X5)
| less_than(X5,X0)
| less_than(X2,X4)
| issmallestelement_pq(X3,X4) ),
inference(resolution,[],[f476,f255]) ).
fof(f1616,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( less_than(X0,X1)
| less_than(X1,X2)
| less_than(sK5(X3,X4),X5)
| less_than(X5,X0)
| issmallestelement_pq(X3,X4)
| less_than(X2,X6)
| less_than(X6,X4) ),
inference(resolution,[],[f476,f389]) ).
fof(f1615,plain,
! [X2,X3,X0,X1,X4] :
( less_than(X0,X1)
| less_than(X1,X2)
| less_than(sK5(X3,X2),X4)
| less_than(X4,X0)
| issmallestelement_pq(X3,X2) ),
inference(resolution,[],[f476,f178]) ).
fof(f1613,plain,
! [X2,X3,X0,X1,X4,X5] :
( less_than(X0,X1)
| less_than(X2,X3)
| less_than(X3,X4)
| less_than(X4,X0)
| less_than(X5,X2)
| ~ less_than(X5,X1) ),
inference(resolution,[],[f476,f191]) ).
fof(f1612,plain,
! [X2,X3,X0,X1,X4,X5] :
( less_than(X0,X1)
| less_than(X2,X3)
| less_than(X3,X4)
| less_than(X4,X0)
| less_than(X1,X5)
| less_than(X5,X2) ),
inference(resolution,[],[f476,f253]) ).
fof(f1611,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( less_than(X0,X1)
| less_than(X2,X3)
| less_than(X3,X4)
| less_than(X4,X0)
| less_than(X5,X2)
| less_than(X1,X6)
| less_than(X6,X5) ),
inference(resolution,[],[f476,f269]) ).
fof(f1610,plain,
! [X2,X3,X0,X1,X4,X5] :
( less_than(X0,X1)
| less_than(sK5(X2,X3),X4)
| less_than(X4,X5)
| less_than(X5,X0)
| less_than(X1,X3)
| issmallestelement_pq(X2,X3) ),
inference(resolution,[],[f476,f255]) ).
fof(f1609,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( less_than(X0,X1)
| less_than(sK5(X2,X3),X4)
| less_than(X4,X5)
| less_than(X5,X0)
| issmallestelement_pq(X2,X3)
| less_than(X1,X6)
| less_than(X6,X3) ),
inference(resolution,[],[f476,f389]) ).
fof(f1608,plain,
! [X2,X3,X0,X1,X4] :
( less_than(X0,X1)
| less_than(sK5(X2,X1),X3)
| less_than(X3,X4)
| less_than(X4,X0)
| issmallestelement_pq(X2,X1) ),
inference(resolution,[],[f476,f178]) ).
fof(f1606,plain,
! [X2,X3,X0,X1,X4,X5] :
( less_than(X0,X1)
| less_than(X1,X2)
| less_than(X2,X3)
| less_than(X3,X4)
| less_than(X5,X0)
| ~ less_than(X5,X4) ),
inference(resolution,[],[f476,f191]) ).
fof(f1605,plain,
! [X2,X3,X0,X1,X4,X5] :
( less_than(X0,X1)
| less_than(X1,X2)
| less_than(X2,X3)
| less_than(X3,X4)
| less_than(X4,X5)
| less_than(X5,X0) ),
inference(resolution,[],[f476,f253]) ).
fof(f1604,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( less_than(X0,X1)
| less_than(X1,X2)
| less_than(X2,X3)
| less_than(X3,X4)
| less_than(X5,X0)
| less_than(X4,X6)
| less_than(X6,X5) ),
inference(resolution,[],[f476,f269]) ).
fof(f1603,plain,
! [X2,X3,X0,X1,X4,X5] :
( less_than(sK5(X0,X1),X2)
| less_than(X2,X3)
| less_than(X3,X4)
| less_than(X4,X5)
| less_than(X5,X1)
| issmallestelement_pq(X0,X1) ),
inference(resolution,[],[f476,f255]) ).
fof(f1602,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( less_than(sK5(X0,X1),X2)
| less_than(X2,X3)
| less_than(X3,X4)
| less_than(X4,X5)
| issmallestelement_pq(X0,X1)
| less_than(X5,X6)
| less_than(X6,X1) ),
inference(resolution,[],[f476,f389]) ).
fof(f1601,plain,
! [X2,X3,X0,X1,X4] :
( less_than(sK5(X0,X1),X2)
| less_than(X2,X3)
| less_than(X3,X4)
| less_than(X4,X1)
| issmallestelement_pq(X0,X1) ),
inference(resolution,[],[f476,f178]) ).
fof(f476,plain,
! [X2,X3,X0,X1,X4] :
( less_than(X0,X1)
| less_than(X1,X2)
| less_than(X2,X3)
| less_than(X3,X4)
| less_than(X4,X0) ),
inference(resolution,[],[f268,f253]) ).
fof(f1598,plain,
! [X2,X0,X1] : insert_pq(insert_pq(X0,X1),X2) = removemin_pq_eff(insert_pq(insert_pq(insert_pq(X0,bottom),X2),X1),bottom),
inference(superposition,[],[f470,f186]) ).
fof(f1597,plain,
! [X2,X0,X1] : insert_pq(insert_pq(X0,X1),X2) = removemin_pq_eff(insert_pq(insert_pq(insert_pq(X0,bottom),X2),X1),bottom),
inference(superposition,[],[f470,f186]) ).
fof(f1596,plain,
! [X2,X0,X1] : insert_pq(insert_pq(X0,X1),X2) = removemin_pq_eff(insert_pq(insert_pq(insert_pq(X0,X2),bottom),X1),bottom),
inference(superposition,[],[f470,f317]) ).
fof(f1594,plain,
! [X2,X0,X1] : insert_pq(insert_pq(X0,X1),X2) = removemin_pq_eff(insert_pq(insert_pq(insert_pq(X0,X2),X1),bottom),bottom),
inference(superposition,[],[f470,f761]) ).
fof(f1593,plain,
! [X2,X0,X1] : insert_pq(insert_pq(X0,X1),X2) = removemin_pq_eff(insert_pq(insert_pq(insert_pq(X0,X2),X1),bottom),bottom),
inference(superposition,[],[f470,f761]) ).
fof(f1590,plain,
! [X2,X3,X0,X1] : insert_pq(insert_pq(insert_pq(X0,X1),X2),X3) = removemin_pq_eff(insert_pq(insert_pq(insert_pq(insert_pq(X0,X2),X1),bottom),X3),bottom),
inference(superposition,[],[f470,f317]) ).
fof(f1589,plain,
! [X2,X3,X0,X1] : insert_pq(insert_pq(insert_pq(X0,X1),X2),X3) = removemin_pq_eff(insert_pq(insert_pq(insert_pq(insert_pq(X0,bottom),X2),X1),X3),bottom),
inference(superposition,[],[f470,f317]) ).
fof(f1588,plain,
! [X2,X3,X0,X1] : insert_pq(insert_pq(insert_pq(X0,X1),X2),X3) = removemin_pq_eff(insert_pq(insert_pq(insert_pq(insert_pq(X0,X2),bottom),X1),X3),bottom),
inference(superposition,[],[f470,f761]) ).
fof(f1587,plain,
! [X2,X3,X0,X1] : insert_pq(insert_pq(insert_pq(X0,X1),X2),X3) = removemin_pq_eff(insert_pq(insert_pq(insert_pq(insert_pq(X0,X2),bottom),X1),X3),bottom),
inference(superposition,[],[f470,f761]) ).
fof(f1586,plain,
! [X2,X3,X0,X1] : insert_pq(insert_pq(insert_pq(X0,X1),X2),X3) = removemin_pq_eff(insert_pq(insert_pq(insert_pq(insert_pq(X0,bottom),X1),X2),X3),bottom),
inference(superposition,[],[f470,f766]) ).
fof(f1585,plain,
! [X2,X3,X0,X1] : insert_pq(insert_pq(insert_pq(X0,X1),X2),X3) = removemin_pq_eff(insert_pq(insert_pq(insert_pq(insert_pq(X0,bottom),X1),X2),X3),bottom),
inference(superposition,[],[f470,f766]) ).
fof(f1582,plain,
! [X2,X3,X0,X1,X4] : insert_pq(insert_pq(insert_pq(insert_pq(X0,X1),X2),X3),X4) = removemin_pq_eff(insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(X0,bottom),X1),X2),X3),X4),bottom),
inference(superposition,[],[f470,f317]) ).
fof(f1581,plain,
! [X2,X3,X0,X1,X4] : insert_pq(insert_pq(insert_pq(insert_pq(X0,X1),X2),X3),X4) = removemin_pq_eff(insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(X0,X2),bottom),X1),X3),X4),bottom),
inference(superposition,[],[f470,f317]) ).
fof(f1580,plain,
! [X2,X3,X0,X1,X4] : insert_pq(insert_pq(insert_pq(insert_pq(X0,X1),X2),X3),X4) = removemin_pq_eff(insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(X0,bottom),X2),X1),X3),X4),bottom),
inference(superposition,[],[f470,f761]) ).
fof(f1579,plain,
! [X2,X3,X0,X1,X4] : insert_pq(insert_pq(insert_pq(insert_pq(X0,X1),X2),X3),X4) = removemin_pq_eff(insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(X0,bottom),X2),X1),X3),X4),bottom),
inference(superposition,[],[f470,f761]) ).
fof(f1578,plain,
! [X2,X3,X0,X1,X4] : insert_pq(insert_pq(insert_pq(insert_pq(X0,X1),X2),X3),X4) = removemin_pq_eff(insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(X0,X2),X1),bottom),X3),X4),bottom),
inference(superposition,[],[f470,f766]) ).
fof(f1577,plain,
! [X2,X3,X0,X1,X4] : insert_pq(insert_pq(insert_pq(insert_pq(X0,X1),X2),X3),X4) = removemin_pq_eff(insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(X0,X2),X1),bottom),X3),X4),bottom),
inference(superposition,[],[f470,f766]) ).
fof(f1576,plain,
! [X2,X3,X0,X1] : insert_pq(insert_pq(insert_pq(X0,X1),X2),X3) = removemin_pq_eff(insert_pq(insert_pq(insert_pq(insert_pq(X0,bottom),X1),X2),X3),bottom),
inference(superposition,[],[f470,f186]) ).
fof(f1575,plain,
! [X2,X3,X0,X1] : insert_pq(insert_pq(insert_pq(X0,X1),X2),X3) = removemin_pq_eff(insert_pq(insert_pq(insert_pq(insert_pq(X0,bottom),X1),X2),X3),bottom),
inference(superposition,[],[f470,f186]) ).
fof(f470,plain,
! [X2,X0,X1] : insert_pq(insert_pq(X0,X1),X2) = removemin_pq_eff(insert_pq(insert_pq(insert_pq(X0,bottom),X1),X2),bottom),
inference(superposition,[],[f467,f186]) ).
fof(f1549,plain,
! [X2,X3,X0,X1,X4,X5] : bottom = removemin_pq_res(insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(X0,bottom),X2),X1),X3),X4),X5),bottom),
inference(superposition,[],[f405,f317]) ).
fof(f1546,plain,
! [X2,X3,X0,X1,X4,X5] : bottom = removemin_pq_res(insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(X0,bottom),X1),X2),X3),X4),X5),bottom),
inference(superposition,[],[f405,f766]) ).
fof(f1545,plain,
! [X2,X3,X0,X1,X4,X5] : bottom = removemin_pq_res(insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(X0,bottom),X1),X2),X3),X4),X5),bottom),
inference(superposition,[],[f405,f766]) ).
fof(f1542,plain,
! [X2,X3,X0,X1,X6,X4,X5] : bottom = removemin_pq_res(insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(X0,bottom),X1),X2),X3),X4),X5),X6),bottom),
inference(superposition,[],[f405,f317]) ).
fof(f1541,plain,
! [X2,X3,X0,X1,X6,X4,X5] : bottom = removemin_pq_res(insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(X0,X2),bottom),X1),X3),X4),X5),X6),bottom),
inference(superposition,[],[f405,f317]) ).
fof(f1540,plain,
! [X2,X3,X0,X1,X6,X4,X5] : bottom = removemin_pq_res(insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(X0,bottom),X2),X1),X3),X4),X5),X6),bottom),
inference(superposition,[],[f405,f761]) ).
fof(f1539,plain,
! [X2,X3,X0,X1,X6,X4,X5] : bottom = removemin_pq_res(insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(X0,bottom),X2),X1),X3),X4),X5),X6),bottom),
inference(superposition,[],[f405,f761]) ).
fof(f1536,plain,
! [X2,X3,X0,X1,X4,X5] : bottom = removemin_pq_res(insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(X0,bottom),X1),X2),X3),X4),X5),bottom),
inference(superposition,[],[f405,f186]) ).
fof(f1535,plain,
! [X2,X3,X0,X1,X4,X5] : bottom = removemin_pq_res(insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(X0,bottom),X1),X2),X3),X4),X5),bottom),
inference(superposition,[],[f405,f186]) ).
fof(f405,plain,
! [X2,X3,X0,X1,X4] : bottom = removemin_pq_res(insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(X0,bottom),X1),X2),X3),X4),bottom),
inference(resolution,[],[f357,f304]) ).
fof(f1531,plain,
! [X0] : ~ strictly_less_than(X0,bottom),
inference(resolution,[],[f1529,f163]) ).
fof(f1529,plain,
! [X2,X3,X0,X1] :
( ~ check_cpq(triple(insert_pqp(X0,X1),X2,X3))
| ~ strictly_less_than(X1,bottom) ),
inference(resolution,[],[f1519,f1313]) ).
fof(f1530,plain,
! [X2,X3,X0,X1,X4] :
( check_cpq(insert_cpq(insert_cpq(triple(X0,X2,X3),X1),X4))
| ~ check_cpq(triple(insert_pqp(insert_pqp(X0,X1),X4),insert_slb(X2,pair(X1,bottom)),X3)) ),
inference(superposition,[],[f1519,f195]) ).
fof(f1519,plain,
! [X2,X3,X0,X1] :
( check_cpq(insert_cpq(triple(X0,X2,X3),X1))
| ~ check_cpq(triple(insert_pqp(X0,X1),X2,X3)) ),
inference(subsumption_resolution,[],[f1517,f152]) ).
fof(f1517,plain,
! [X2,X3,X0,X1] :
( check_cpq(insert_cpq(triple(X0,X2,X3),X1))
| ~ check_cpq(triple(insert_pqp(X0,X1),X2,X3))
| ~ less_than(bottom,X1) ),
inference(superposition,[],[f215,f195]) ).
fof(f1516,plain,
! [X2,X3,X0,X1,X4] :
( ~ check_cpq(triple(X0,X1,X2))
| ~ less_than(X3,X4)
| ~ strictly_less_than(X4,X3) ),
inference(resolution,[],[f215,f213]) ).
fof(f215,plain,
! [X2,X3,X0,X1,X4] :
( check_cpq(triple(X0,insert_slb(X1,pair(X3,X4)),X2))
| ~ check_cpq(triple(X0,X1,X2))
| ~ less_than(X4,X3) ),
inference(cnf_transformation,[],[f139]) ).
fof(f139,plain,
! [X0,X1,X2,X3,X4] :
( ( ( check_cpq(triple(X0,insert_slb(X1,pair(X3,X4)),X2))
| ~ check_cpq(triple(X0,X1,X2)) )
& ( check_cpq(triple(X0,X1,X2))
| ~ check_cpq(triple(X0,insert_slb(X1,pair(X3,X4)),X2)) ) )
| ~ less_than(X4,X3) ),
inference(nnf_transformation,[],[f119]) ).
fof(f119,plain,
! [X0,X1,X2,X3,X4] :
( ( check_cpq(triple(X0,insert_slb(X1,pair(X3,X4)),X2))
<=> check_cpq(triple(X0,X1,X2)) )
| ~ less_than(X4,X3) ),
inference(ennf_transformation,[],[f37]) ).
fof(f37,axiom,
! [X0,X1,X2,X3,X4] :
( less_than(X4,X3)
=> ( check_cpq(triple(X0,insert_slb(X1,pair(X3,X4)),X2))
<=> check_cpq(triple(X0,X1,X2)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax37) ).
fof(f1489,plain,
! [X2,X3,X0,X1,X4,X5] : bottom = findmin_pq_res(insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(X0,bottom),X2),X1),X3),X4),X5),bottom),
inference(superposition,[],[f404,f317]) ).
fof(f1486,plain,
! [X2,X3,X0,X1,X4,X5] : bottom = findmin_pq_res(insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(X0,bottom),X1),X2),X3),X4),X5),bottom),
inference(superposition,[],[f404,f766]) ).
fof(f1485,plain,
! [X2,X3,X0,X1,X4,X5] : bottom = findmin_pq_res(insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(X0,bottom),X1),X2),X3),X4),X5),bottom),
inference(superposition,[],[f404,f766]) ).
fof(f1482,plain,
! [X2,X3,X0,X1,X6,X4,X5] : bottom = findmin_pq_res(insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(X0,bottom),X1),X2),X3),X4),X5),X6),bottom),
inference(superposition,[],[f404,f317]) ).
fof(f1481,plain,
! [X2,X3,X0,X1,X6,X4,X5] : bottom = findmin_pq_res(insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(X0,X2),bottom),X1),X3),X4),X5),X6),bottom),
inference(superposition,[],[f404,f317]) ).
fof(f1480,plain,
! [X2,X3,X0,X1,X6,X4,X5] : bottom = findmin_pq_res(insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(X0,bottom),X2),X1),X3),X4),X5),X6),bottom),
inference(superposition,[],[f404,f761]) ).
fof(f1479,plain,
! [X2,X3,X0,X1,X6,X4,X5] : bottom = findmin_pq_res(insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(X0,bottom),X2),X1),X3),X4),X5),X6),bottom),
inference(superposition,[],[f404,f761]) ).
fof(f1476,plain,
! [X2,X3,X0,X1,X4,X5] : bottom = findmin_pq_res(insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(X0,bottom),X1),X2),X3),X4),X5),bottom),
inference(superposition,[],[f404,f186]) ).
fof(f1475,plain,
! [X2,X3,X0,X1,X4,X5] : bottom = findmin_pq_res(insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(X0,bottom),X1),X2),X3),X4),X5),bottom),
inference(superposition,[],[f404,f186]) ).
fof(f404,plain,
! [X2,X3,X0,X1,X4] : bottom = findmin_pq_res(insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(X0,bottom),X1),X2),X3),X4),bottom),
inference(resolution,[],[f357,f311]) ).
fof(f1474,plain,
! [X2,X3,X0,X1,X4] :
( ~ check_cpq(insert_cpq(insert_cpq(triple(X0,X2,X3),X1),X4))
| check_cpq(triple(insert_pqp(insert_pqp(X0,X1),X4),insert_slb(X2,pair(X1,bottom)),X3)) ),
inference(superposition,[],[f1473,f195]) ).
fof(f1473,plain,
! [X2,X3,X0,X1] :
( ~ check_cpq(insert_cpq(triple(X0,X2,X3),X1))
| check_cpq(triple(insert_pqp(X0,X1),X2,X3)) ),
inference(subsumption_resolution,[],[f1472,f152]) ).
fof(f1472,plain,
! [X2,X3,X0,X1] :
( ~ check_cpq(insert_cpq(triple(X0,X2,X3),X1))
| check_cpq(triple(insert_pqp(X0,X1),X2,X3))
| ~ less_than(bottom,X1) ),
inference(superposition,[],[f214,f195]) ).
fof(f214,plain,
! [X2,X3,X0,X1,X4] :
( ~ check_cpq(triple(X0,insert_slb(X1,pair(X3,X4)),X2))
| check_cpq(triple(X0,X1,X2))
| ~ less_than(X4,X3) ),
inference(cnf_transformation,[],[f139]) ).
fof(f1470,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( issmallestelement_pq(insert_pq(i(triple(X0,X1,X4)),X2),X5)
| less_than(sK3(triple(X0,insert_slb(X1,pair(X2,X3)),X4)),X6)
| less_than(X6,X5)
| ~ pi_find_min(triple(X0,insert_slb(X1,pair(X2,X3)),X4)) ),
inference(superposition,[],[f674,f212]) ).
fof(f1469,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ contains_pq(insert_pq(i(triple(X0,X1,X4)),X2),X5)
| less_than(sK3(triple(X0,insert_slb(X1,pair(X2,X3)),X4)),X6)
| ~ pi_find_min(triple(X0,insert_slb(X1,pair(X2,X3)),X4))
| less_than(X6,X5) ),
inference(superposition,[],[f565,f212]) ).
fof(f1468,plain,
! [X2,X3,X0,X1,X4,X5] :
( issmallestelement_pq(insert_pq(i(triple(X0,X1,X4)),X2),X5)
| ~ pi_find_min(triple(X0,insert_slb(X1,pair(X2,X3)),X4))
| less_than(sK3(triple(X0,insert_slb(X1,pair(X2,X3)),X4)),X5) ),
inference(superposition,[],[f559,f212]) ).
fof(f1471,plain,
! [X2,X3,X0,X1,X4,X5] :
( issmallestelement_pq(insert_pq(i(triple(X0,X1,X4)),X2),X5)
| less_than(sK3(triple(X0,insert_slb(X1,pair(X2,X3)),X4)),sK5(insert_pq(i(triple(X0,X1,X4)),X2),X5))
| ~ pi_find_min(triple(X0,insert_slb(X1,pair(X2,X3)),X4)) ),
inference(forward_demodulation,[],[f1467,f212]) ).
fof(f1467,plain,
! [X2,X3,X0,X1,X4,X5] :
( less_than(sK3(triple(X0,insert_slb(X1,pair(X2,X3)),X4)),sK5(insert_pq(i(triple(X0,X1,X4)),X2),X5))
| ~ pi_find_min(triple(X0,insert_slb(X1,pair(X2,X3)),X4))
| issmallestelement_pq(i(triple(X0,insert_slb(X1,pair(X2,X3)),X4)),X5) ),
inference(superposition,[],[f289,f212]) ).
fof(f1466,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ contains_pq(insert_pq(i(triple(X0,X1,X4)),X2),X5)
| less_than(sK3(triple(X0,insert_slb(X1,pair(X2,X3)),X4)),X5)
| ~ pi_find_min(triple(X0,insert_slb(X1,pair(X2,X3)),X4)) ),
inference(superposition,[],[f246,f212]) ).
fof(f1465,plain,
! [X2,X3,X0,X1,X4] :
( contains_pq(insert_pq(i(triple(X0,X1,X4)),X2),sK3(triple(X0,insert_slb(X1,pair(X2,X3)),X4)))
| ~ pi_find_min(triple(X0,insert_slb(X1,pair(X2,X3)),X4)) ),
inference(superposition,[],[f226,f212]) ).
fof(f1464,plain,
! [X2,X3,X0,X1,X4] :
( issmallestelement_pq(insert_pq(i(triple(X0,X1,X4)),X2),sK3(triple(X0,insert_slb(X1,pair(X2,X3)),X4)))
| ~ pi_find_min(triple(X0,insert_slb(X1,pair(X2,X3)),X4)) ),
inference(superposition,[],[f225,f212]) ).
fof(f1463,plain,
! [X2,X3,X0,X1,X4] :
( pi_sharp_find_min(insert_pq(i(triple(X0,X1,X4)),X2),sK3(triple(X0,insert_slb(X1,pair(X2,X3)),X4)))
| ~ pi_find_min(triple(X0,insert_slb(X1,pair(X2,X3)),X4)) ),
inference(superposition,[],[f156,f212]) ).
fof(f1462,plain,
! [X2,X3,X0,X1,X4] :
( pi_sharp_find_min(insert_pq(i(triple(X0,X1,X4)),X2),findmin_cpq_res(triple(X0,insert_slb(X1,pair(X2,X3)),X4)))
| ~ phi(findmin_cpq_eff(triple(X0,insert_slb(X1,pair(X2,X3)),X4))) ),
inference(superposition,[],[f145,f212]) ).
fof(f1461,plain,
! [X2,X3,X0,X1] : i(insert_cpq(triple(X0,X2,X3),X1)) = insert_pq(i(triple(insert_pqp(X0,X1),X2,X3)),X1),
inference(superposition,[],[f212,f195]) ).
fof(f212,plain,
! [X2,X3,X0,X1,X4] : i(triple(X0,insert_slb(X1,pair(X3,X4)),X2)) = insert_pq(i(triple(X0,X1,X2)),X3),
inference(cnf_transformation,[],[f55]) ).
fof(f55,axiom,
! [X0,X1,X2,X3,X4] : i(triple(X0,insert_slb(X1,pair(X3,X4)),X2)) = insert_pq(i(triple(X0,X1,X2)),X3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax55) ).
fof(f1460,plain,
! [X2,X3,X0,X1,X4,X5] :
( contains_pq(insert_pq(insert_pq(insert_pq(X0,X3),X1),X2),X4)
| X4 = X5
| ~ contains_pq(insert_pq(X0,X1),X4) ),
inference(superposition,[],[f1411,f317]) ).
fof(f1459,plain,
! [X2,X3,X0,X1,X4,X5] :
( contains_pq(insert_pq(insert_pq(insert_pq(X0,X2),X3),X1),X4)
| X4 = X5
| ~ contains_pq(insert_pq(X0,X1),X4) ),
inference(superposition,[],[f1411,f317]) ).
fof(f1458,plain,
! [X2,X3,X0,X1,X4,X5] :
( contains_pq(insert_pq(insert_pq(insert_pq(X0,X3),X2),X1),X4)
| X4 = X5
| ~ contains_pq(insert_pq(X0,X1),X4) ),
inference(superposition,[],[f1411,f761]) ).
fof(f1457,plain,
! [X2,X3,X0,X1,X4,X5] :
( contains_pq(insert_pq(insert_pq(insert_pq(X0,X3),X2),X1),X4)
| X4 = X5
| ~ contains_pq(insert_pq(X0,X1),X4) ),
inference(superposition,[],[f1411,f761]) ).
fof(f1456,plain,
! [X2,X3,X0,X1,X4,X5] :
( contains_pq(insert_pq(insert_pq(insert_pq(X0,X2),X1),X3),X4)
| X4 = X5
| ~ contains_pq(insert_pq(X0,X1),X4) ),
inference(superposition,[],[f1411,f766]) ).
fof(f1455,plain,
! [X2,X3,X0,X1,X4,X5] :
( contains_pq(insert_pq(insert_pq(insert_pq(X0,X2),X1),X3),X4)
| X4 = X5
| ~ contains_pq(insert_pq(X0,X1),X4) ),
inference(superposition,[],[f1411,f766]) ).
fof(f1452,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( contains_pq(insert_pq(insert_pq(insert_pq(insert_pq(X0,X3),X1),X2),X4),X5)
| X5 = X6
| ~ contains_pq(insert_pq(insert_pq(X0,X1),X2),X5) ),
inference(superposition,[],[f1411,f317]) ).
fof(f1451,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( contains_pq(insert_pq(insert_pq(insert_pq(insert_pq(X0,X2),X3),X1),X4),X5)
| X5 = X6
| ~ contains_pq(insert_pq(insert_pq(X0,X1),X2),X5) ),
inference(superposition,[],[f1411,f317]) ).
fof(f1450,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( contains_pq(insert_pq(insert_pq(insert_pq(insert_pq(X0,X3),X2),X1),X4),X5)
| X5 = X6
| ~ contains_pq(insert_pq(insert_pq(X0,X1),X2),X5) ),
inference(superposition,[],[f1411,f761]) ).
fof(f1449,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( contains_pq(insert_pq(insert_pq(insert_pq(insert_pq(X0,X3),X2),X1),X4),X5)
| X5 = X6
| ~ contains_pq(insert_pq(insert_pq(X0,X1),X2),X5) ),
inference(superposition,[],[f1411,f761]) ).
fof(f1448,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( contains_pq(insert_pq(insert_pq(insert_pq(insert_pq(X0,X2),X1),X3),X4),X5)
| X5 = X6
| ~ contains_pq(insert_pq(insert_pq(X0,X1),X2),X5) ),
inference(superposition,[],[f1411,f766]) ).
fof(f1447,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( contains_pq(insert_pq(insert_pq(insert_pq(insert_pq(X0,X2),X1),X3),X4),X5)
| X5 = X6
| ~ contains_pq(insert_pq(insert_pq(X0,X1),X2),X5) ),
inference(superposition,[],[f1411,f766]) ).
fof(f1446,plain,
! [X2,X3,X0,X1,X4,X5] :
( contains_pq(insert_pq(insert_pq(insert_pq(X0,X2),X1),X3),X4)
| X4 = X5
| ~ contains_pq(insert_pq(X0,X1),X4) ),
inference(superposition,[],[f1411,f186]) ).
fof(f1445,plain,
! [X2,X3,X0,X1,X4,X5] :
( contains_pq(insert_pq(insert_pq(insert_pq(X0,X2),X1),X3),X4)
| X4 = X5
| ~ contains_pq(insert_pq(X0,X1),X4) ),
inference(superposition,[],[f1411,f186]) ).
fof(f1444,plain,
! [X2,X3,X0,X1,X4,X5] :
( X0 = X1
| ~ contains_pq(X2,X0)
| X0 = X3
| remove_pq(insert_pq(insert_pq(insert_pq(X2,X4),X5),X3),X0) = insert_pq(remove_pq(insert_pq(insert_pq(X2,X4),X5),X0),X3) ),
inference(resolution,[],[f1411,f190]) ).
fof(f1443,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( bottom = X0
| ~ contains_pq(X1,bottom)
| bottom = findmin_pq_res(insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(X1,X2),X3),X4),X5),X6),bottom) ),
inference(resolution,[],[f1411,f530]) ).
fof(f1442,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( bottom = X0
| ~ contains_pq(X1,bottom)
| bottom = removemin_pq_res(insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(X1,X2),X3),X4),X5),X6),bottom) ),
inference(resolution,[],[f1411,f524]) ).
fof(f1441,plain,
! [X2,X3,X0,X1,X4] :
( bottom = X0
| ~ contains_pq(X1,bottom)
| removemin_pq_eff(insert_pq(insert_pq(insert_pq(X1,X2),X3),X4),bottom) = remove_pq(insert_pq(insert_pq(insert_pq(X1,X2),X3),X4),bottom) ),
inference(resolution,[],[f1411,f461]) ).
fof(f1440,plain,
! [X2,X3,X0,X1] :
( bottom = X0
| ~ contains_pq(X1,bottom)
| removemin_pq_eff(insert_pq(insert_pq(X1,X2),X3),bottom) = remove_pq(insert_pq(insert_pq(X1,X2),X3),bottom) ),
inference(resolution,[],[f1411,f458]) ).
fof(f1439,plain,
! [X2,X3,X0,X1,X4,X5] :
( bottom = X0
| ~ contains_pq(X1,bottom)
| bottom = findmin_pq_res(insert_pq(insert_pq(insert_pq(insert_pq(X1,X2),X3),X4),X5),bottom) ),
inference(resolution,[],[f1411,f316]) ).
fof(f1438,plain,
! [X2,X3,X0,X1,X4,X5] :
( bottom = X0
| ~ contains_pq(X1,bottom)
| bottom = removemin_pq_res(insert_pq(insert_pq(insert_pq(insert_pq(X1,X2),X3),X4),X5),bottom) ),
inference(resolution,[],[f1411,f314]) ).
fof(f1433,plain,
! [X2,X3,X0,X1,X4] :
( bottom = X0
| ~ contains_pq(X1,bottom)
| insert_pq(insert_pq(insert_pq(X1,X2),X3),X4) = findmin_pq_eff(insert_pq(insert_pq(insert_pq(X1,X2),X3),X4),bottom) ),
inference(resolution,[],[f1411,f297]) ).
fof(f1432,plain,
! [X2,X3,X0,X1] :
( bottom = X0
| ~ contains_pq(X1,bottom)
| insert_pq(insert_pq(X1,X2),X3) = findmin_pq_eff(insert_pq(insert_pq(X1,X2),X3),bottom) ),
inference(resolution,[],[f1411,f294]) ).
fof(f1427,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( X0 = X1
| ~ contains_pq(X2,X0)
| X0 = X3
| contains_pq(insert_pq(insert_pq(insert_pq(X2,X4),X5),X6),X0) ),
inference(resolution,[],[f1411,f548]) ).
fof(f1411,plain,
! [X2,X3,X0,X1,X4] :
( contains_pq(insert_pq(insert_pq(X2,X3),X4),X0)
| X0 = X1
| ~ contains_pq(X2,X0) ),
inference(resolution,[],[f548,f193]) ).
fof(f1425,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ contains_pq(insert_pq(insert_pq(insert_pq(X0,X3),X1),X2),X4)
| X3 = X4
| contains_pq(insert_pq(insert_pq(insert_pq(insert_pq(X0,X1),X2),X5),X6),X4) ),
inference(superposition,[],[f548,f317]) ).
fof(f1424,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ contains_pq(insert_pq(insert_pq(insert_pq(X0,X2),X3),X1),X4)
| X3 = X4
| contains_pq(insert_pq(insert_pq(insert_pq(insert_pq(X0,X1),X2),X5),X6),X4) ),
inference(superposition,[],[f548,f317]) ).
fof(f1423,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ contains_pq(insert_pq(insert_pq(insert_pq(X0,X3),X2),X1),X4)
| X3 = X4
| contains_pq(insert_pq(insert_pq(insert_pq(insert_pq(X0,X1),X2),X5),X6),X4) ),
inference(superposition,[],[f548,f761]) ).
fof(f1422,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ contains_pq(insert_pq(insert_pq(insert_pq(X0,X3),X2),X1),X4)
| X3 = X4
| contains_pq(insert_pq(insert_pq(insert_pq(insert_pq(X0,X1),X2),X5),X6),X4) ),
inference(superposition,[],[f548,f761]) ).
fof(f1421,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ contains_pq(insert_pq(insert_pq(insert_pq(X0,X2),X1),X3),X4)
| X3 = X4
| contains_pq(insert_pq(insert_pq(insert_pq(insert_pq(X0,X1),X2),X5),X6),X4) ),
inference(superposition,[],[f548,f766]) ).
fof(f1420,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ contains_pq(insert_pq(insert_pq(insert_pq(X0,X2),X1),X3),X4)
| X3 = X4
| contains_pq(insert_pq(insert_pq(insert_pq(insert_pq(X0,X1),X2),X5),X6),X4) ),
inference(superposition,[],[f548,f766]) ).
fof(f1419,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ contains_pq(insert_pq(insert_pq(X0,X2),X1),X3)
| X2 = X3
| contains_pq(insert_pq(insert_pq(insert_pq(X0,X1),X4),X5),X3) ),
inference(superposition,[],[f548,f186]) ).
fof(f1418,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ contains_pq(insert_pq(insert_pq(X0,X2),X1),X3)
| X2 = X3
| contains_pq(insert_pq(insert_pq(insert_pq(X0,X1),X4),X5),X3) ),
inference(superposition,[],[f548,f186]) ).
fof(f1417,plain,
! [X2,X3,X0,X1,X4] :
( sK5(insert_pq(X0,X1),X2) = X1
| contains_pq(insert_pq(insert_pq(X0,X3),X4),sK5(insert_pq(X0,X1),X2))
| issmallestelement_pq(insert_pq(X0,X1),X2) ),
inference(resolution,[],[f548,f177]) ).
fof(f1416,plain,
! [X2,X3,X0,X1,X4,X5] :
( X0 = X1
| contains_pq(insert_pq(insert_pq(insert_pq(X2,X3),X4),X5),X0)
| ~ contains_pq(insert_pq(X2,X1),X0) ),
inference(resolution,[],[f548,f323]) ).
fof(f1415,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( X0 = X1
| contains_pq(insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(X2,X0),X3),X4),X5),X6),X7),X0) ),
inference(resolution,[],[f548,f409]) ).
fof(f548,plain,
! [X2,X3,X0,X1,X4] :
( ~ contains_pq(insert_pq(X0,X4),X3)
| X3 = X4
| contains_pq(insert_pq(insert_pq(X0,X1),X2),X3) ),
inference(resolution,[],[f442,f323]) ).
fof(f1408,plain,
! [X2,X3,X0,X1] :
( issmallestelement_pq(X0,X1)
| issmallestelement_pq(X2,sK5(X0,X1))
| less_than(X3,X1)
| ~ less_than(X3,sK5(X2,sK5(X0,X1))) ),
inference(resolution,[],[f385,f191]) ).
fof(f1407,plain,
! [X2,X3,X0,X1] :
( issmallestelement_pq(X0,X1)
| issmallestelement_pq(X2,sK5(X0,X1))
| less_than(sK5(X2,sK5(X0,X1)),X3)
| less_than(X3,X1) ),
inference(resolution,[],[f385,f253]) ).
fof(f1406,plain,
! [X2,X3,X0,X1,X4] :
( issmallestelement_pq(X0,X1)
| issmallestelement_pq(X2,sK5(X0,X1))
| less_than(X3,X1)
| less_than(sK5(X2,sK5(X0,X1)),X4)
| less_than(X4,X3) ),
inference(resolution,[],[f385,f269]) ).
fof(f1405,plain,
! [X2,X3,X0,X1] :
( issmallestelement_pq(X0,sK5(X1,X2))
| issmallestelement_pq(X3,sK5(X0,sK5(X1,X2)))
| less_than(sK5(X3,sK5(X0,sK5(X1,X2))),X2)
| issmallestelement_pq(X1,X2) ),
inference(resolution,[],[f385,f255]) ).
fof(f1404,plain,
! [X2,X3,X0,X1,X4] :
( issmallestelement_pq(X0,sK5(X1,X2))
| issmallestelement_pq(X3,sK5(X0,sK5(X1,X2)))
| issmallestelement_pq(X1,X2)
| less_than(sK5(X3,sK5(X0,sK5(X1,X2))),X4)
| less_than(X4,X2) ),
inference(resolution,[],[f385,f389]) ).
fof(f385,plain,
! [X2,X0,X1] :
( less_than(sK5(X0,sK5(X1,X2)),X2)
| issmallestelement_pq(X1,X2)
| issmallestelement_pq(X0,sK5(X1,X2)) ),
inference(resolution,[],[f255,f234]) ).
fof(f1389,plain,
! [X2,X3,X0,X1,X4] : insert_pq(insert_pq(insert_pq(X0,X1),X4),X2) = remove_pq(insert_pq(insert_pq(insert_pq(insert_pq(X0,X3),X1),X2),X4),X3),
inference(superposition,[],[f864,f317]) ).
fof(f1388,plain,
! [X2,X3,X0,X1,X4] : insert_pq(insert_pq(insert_pq(X0,X1),X4),X2) = remove_pq(insert_pq(insert_pq(insert_pq(insert_pq(X0,X2),X3),X1),X4),X3),
inference(superposition,[],[f864,f317]) ).
fof(f1387,plain,
! [X2,X3,X0,X1,X4] : insert_pq(insert_pq(insert_pq(X0,X1),X4),X2) = remove_pq(insert_pq(insert_pq(insert_pq(insert_pq(X0,X3),X2),X1),X4),X3),
inference(superposition,[],[f864,f761]) ).
fof(f1386,plain,
! [X2,X3,X0,X1,X4] : insert_pq(insert_pq(insert_pq(X0,X1),X4),X2) = remove_pq(insert_pq(insert_pq(insert_pq(insert_pq(X0,X3),X2),X1),X4),X3),
inference(superposition,[],[f864,f761]) ).
fof(f1385,plain,
! [X2,X3,X0,X1,X4] : insert_pq(insert_pq(insert_pq(X0,X1),X4),X2) = remove_pq(insert_pq(insert_pq(insert_pq(insert_pq(X0,X2),X1),X3),X4),X3),
inference(superposition,[],[f864,f766]) ).
fof(f1384,plain,
! [X2,X3,X0,X1,X4] : insert_pq(insert_pq(insert_pq(X0,X1),X4),X2) = remove_pq(insert_pq(insert_pq(insert_pq(insert_pq(X0,X2),X1),X3),X4),X3),
inference(superposition,[],[f864,f766]) ).
fof(f1381,plain,
! [X2,X3,X0,X1,X4,X5] : insert_pq(insert_pq(insert_pq(insert_pq(X0,X1),X2),X4),X3) = remove_pq(insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(X0,X3),X1),X2),X5),X4),X5),
inference(superposition,[],[f864,f317]) ).
fof(f1380,plain,
! [X2,X3,X0,X1,X4,X5] : insert_pq(insert_pq(insert_pq(insert_pq(X0,X1),X2),X4),X3) = remove_pq(insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(X0,X2),X3),X1),X5),X4),X5),
inference(superposition,[],[f864,f317]) ).
fof(f1379,plain,
! [X2,X3,X0,X1,X4,X5] : insert_pq(insert_pq(insert_pq(insert_pq(X0,X1),X2),X4),X3) = remove_pq(insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(X0,X3),X2),X1),X5),X4),X5),
inference(superposition,[],[f864,f761]) ).
fof(f1378,plain,
! [X2,X3,X0,X1,X4,X5] : insert_pq(insert_pq(insert_pq(insert_pq(X0,X1),X2),X4),X3) = remove_pq(insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(X0,X3),X2),X1),X5),X4),X5),
inference(superposition,[],[f864,f761]) ).
fof(f1377,plain,
! [X2,X3,X0,X1,X4,X5] : insert_pq(insert_pq(insert_pq(insert_pq(X0,X1),X2),X4),X3) = remove_pq(insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(X0,X2),X1),X3),X5),X4),X5),
inference(superposition,[],[f864,f766]) ).
fof(f1376,plain,
! [X2,X3,X0,X1,X4,X5] : insert_pq(insert_pq(insert_pq(insert_pq(X0,X1),X2),X4),X3) = remove_pq(insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(X0,X2),X1),X3),X5),X4),X5),
inference(superposition,[],[f864,f766]) ).
fof(f1375,plain,
! [X2,X3,X0,X1,X4] : insert_pq(insert_pq(insert_pq(X0,X1),X3),X2) = remove_pq(insert_pq(insert_pq(insert_pq(insert_pq(X0,X2),X1),X4),X3),X4),
inference(superposition,[],[f864,f186]) ).
fof(f1374,plain,
! [X2,X3,X0,X1,X4] : insert_pq(insert_pq(insert_pq(X0,X1),X3),X2) = remove_pq(insert_pq(insert_pq(insert_pq(insert_pq(X0,X2),X1),X4),X3),X4),
inference(superposition,[],[f864,f186]) ).
fof(f864,plain,
! [X2,X3,X0,X1] : insert_pq(insert_pq(X0,X1),X2) = remove_pq(insert_pq(insert_pq(insert_pq(X0,X2),X3),X1),X3),
inference(superposition,[],[f166,f317]) ).
fof(f1361,plain,
! [X2,X3,X0,X1] : insert_pq(insert_pq(X0,X3),X2) = remove_pq(insert_pq(insert_pq(insert_pq(X0,X2),X1),X3),X1),
inference(superposition,[],[f858,f766]) ).
fof(f1360,plain,
! [X2,X3,X0,X1] : insert_pq(insert_pq(X0,X3),X2) = remove_pq(insert_pq(insert_pq(insert_pq(X0,X2),X1),X3),X1),
inference(superposition,[],[f858,f766]) ).
fof(f1359,plain,
! [X2,X3,X0,X1,X4] : insert_pq(insert_pq(insert_pq(X0,X1),X4),X3) = remove_pq(insert_pq(insert_pq(insert_pq(insert_pq(X0,X3),X1),X2),X4),X2),
inference(superposition,[],[f858,f317]) ).
fof(f1358,plain,
! [X2,X3,X0,X1,X4] : insert_pq(insert_pq(insert_pq(X0,X1),X4),X3) = remove_pq(insert_pq(insert_pq(insert_pq(insert_pq(X0,X2),X3),X1),X4),X2),
inference(superposition,[],[f858,f317]) ).
fof(f1357,plain,
! [X2,X3,X0,X1,X4] : insert_pq(insert_pq(insert_pq(X0,X1),X4),X3) = remove_pq(insert_pq(insert_pq(insert_pq(insert_pq(X0,X3),X2),X1),X4),X2),
inference(superposition,[],[f858,f761]) ).
fof(f1356,plain,
! [X2,X3,X0,X1,X4] : insert_pq(insert_pq(insert_pq(X0,X1),X4),X3) = remove_pq(insert_pq(insert_pq(insert_pq(insert_pq(X0,X3),X2),X1),X4),X2),
inference(superposition,[],[f858,f761]) ).
fof(f1355,plain,
! [X2,X3,X0,X1,X4] : insert_pq(insert_pq(insert_pq(X0,X1),X4),X3) = remove_pq(insert_pq(insert_pq(insert_pq(insert_pq(X0,X2),X1),X3),X4),X2),
inference(superposition,[],[f858,f766]) ).
fof(f1354,plain,
! [X2,X3,X0,X1,X4] : insert_pq(insert_pq(insert_pq(X0,X1),X4),X3) = remove_pq(insert_pq(insert_pq(insert_pq(insert_pq(X0,X2),X1),X3),X4),X2),
inference(superposition,[],[f858,f766]) ).
fof(f1353,plain,
! [X2,X3,X0,X1] : insert_pq(insert_pq(X0,X3),X2) = remove_pq(insert_pq(insert_pq(insert_pq(X0,X2),X1),X3),X1),
inference(superposition,[],[f858,f186]) ).
fof(f1352,plain,
! [X2,X3,X0,X1] : insert_pq(insert_pq(X0,X3),X2) = remove_pq(insert_pq(insert_pq(insert_pq(X0,X2),X1),X3),X1),
inference(superposition,[],[f858,f186]) ).
fof(f1351,plain,
! [X2,X3,X0,X1,X4,X5] : insert_pq(insert_pq(insert_pq(insert_pq(X0,X1),X2),X4),X5) = remove_pq(insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(X0,X3),X1),X2),X5),X4),X3),
inference(superposition,[],[f858,f317]) ).
fof(f1350,plain,
! [X2,X3,X0,X1,X4,X5] : insert_pq(insert_pq(insert_pq(insert_pq(X0,X1),X2),X4),X5) = remove_pq(insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(X0,X2),X3),X1),X5),X4),X3),
inference(superposition,[],[f858,f317]) ).
fof(f1349,plain,
! [X2,X3,X0,X1,X4,X5] : insert_pq(insert_pq(insert_pq(insert_pq(X0,X1),X2),X4),X5) = remove_pq(insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(X0,X3),X2),X1),X5),X4),X3),
inference(superposition,[],[f858,f761]) ).
fof(f1348,plain,
! [X2,X3,X0,X1,X4,X5] : insert_pq(insert_pq(insert_pq(insert_pq(X0,X1),X2),X4),X5) = remove_pq(insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(X0,X3),X2),X1),X5),X4),X3),
inference(superposition,[],[f858,f761]) ).
fof(f1347,plain,
! [X2,X3,X0,X1,X4,X5] : insert_pq(insert_pq(insert_pq(insert_pq(X0,X1),X2),X4),X5) = remove_pq(insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(X0,X2),X1),X3),X5),X4),X3),
inference(superposition,[],[f858,f766]) ).
fof(f1346,plain,
! [X2,X3,X0,X1,X4,X5] : insert_pq(insert_pq(insert_pq(insert_pq(X0,X1),X2),X4),X5) = remove_pq(insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(X0,X2),X1),X3),X5),X4),X3),
inference(superposition,[],[f858,f766]) ).
fof(f1345,plain,
! [X2,X3,X0,X1,X4] : insert_pq(insert_pq(insert_pq(X0,X1),X3),X4) = remove_pq(insert_pq(insert_pq(insert_pq(insert_pq(X0,X2),X1),X4),X3),X2),
inference(superposition,[],[f858,f186]) ).
fof(f1344,plain,
! [X2,X3,X0,X1,X4] : insert_pq(insert_pq(insert_pq(X0,X1),X3),X4) = remove_pq(insert_pq(insert_pq(insert_pq(insert_pq(X0,X2),X1),X4),X3),X2),
inference(superposition,[],[f858,f186]) ).
fof(f858,plain,
! [X2,X3,X0,X1] : insert_pq(insert_pq(X0,X1),X3) = remove_pq(insert_pq(insert_pq(insert_pq(X0,X2),X3),X1),X2),
inference(superposition,[],[f324,f317]) ).
fof(f1343,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ contains_cpq(insert_cpq(insert_cpq(triple(X0,X2,X3),X1),X4),X5)
| contains_slb(insert_slb(insert_slb(X2,pair(X1,bottom)),pair(X4,bottom)),X5) ),
inference(superposition,[],[f1318,f195]) ).
fof(f1318,plain,
! [X2,X3,X0,X1,X4] :
( ~ contains_cpq(insert_cpq(triple(X0,X2,X3),X1),X4)
| contains_slb(insert_slb(X2,pair(X1,bottom)),X4) ),
inference(superposition,[],[f207,f195]) ).
fof(f1340,plain,
! [X2,X3,X0,X1,X4,X5] :
( lookup_slb(insert_slb(X0,pair(X1,X2)),X3) = lookup_slb(X0,X3)
| X1 = X3
| triple(X4,X0,bad) = remove_cpq(triple(X4,X0,X5),X3) ),
inference(resolution,[],[f200,f197]) ).
fof(f1339,plain,
! [X2,X3,X0,X1,X4,X5] :
( lookup_slb(insert_slb(insert_slb(X0,pair(X1,X2)),pair(X3,X4)),X5) = lookup_slb(insert_slb(X0,pair(X1,X2)),X5)
| X3 = X5
| ~ contains_slb(X0,X5) ),
inference(resolution,[],[f200,f210]) ).
fof(f200,plain,
! [X2,X3,X0,X1] :
( ~ contains_slb(X0,X2)
| lookup_slb(insert_slb(X0,pair(X1,X3)),X2) = lookup_slb(X0,X2)
| X1 = X2 ),
inference(cnf_transformation,[],[f105]) ).
fof(f105,plain,
! [X0,X1,X2,X3] :
( lookup_slb(insert_slb(X0,pair(X1,X3)),X2) = lookup_slb(X0,X2)
| ~ contains_slb(X0,X2)
| X1 = X2 ),
inference(flattening,[],[f104]) ).
fof(f104,plain,
! [X0,X1,X2,X3] :
( lookup_slb(insert_slb(X0,pair(X1,X3)),X2) = lookup_slb(X0,X2)
| ~ contains_slb(X0,X2)
| X1 = X2 ),
inference(ennf_transformation,[],[f27]) ).
fof(f27,axiom,
! [X0,X1,X2,X3] :
( ( contains_slb(X0,X2)
& X1 != X2 )
=> lookup_slb(insert_slb(X0,pair(X1,X3)),X2) = lookup_slb(X0,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax27) ).
fof(f1337,plain,
! [X2,X3,X0,X1,X4,X5] :
( contains_cpq(insert_cpq(insert_cpq(triple(X0,X2,X3),X1),X4),X5)
| ~ contains_slb(insert_slb(insert_slb(X2,pair(X1,bottom)),pair(X4,bottom)),X5) ),
inference(superposition,[],[f1317,f195]) ).
fof(f1317,plain,
! [X2,X3,X0,X1,X4] :
( contains_cpq(insert_cpq(triple(X0,X2,X3),X1),X4)
| ~ contains_slb(insert_slb(X2,pair(X1,bottom)),X4) ),
inference(superposition,[],[f208,f195]) ).
fof(f1335,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( bad = X0
| ~ check_cpq(insert_cpq(insert_cpq(insert_cpq(triple(X1,X2,X0),X3),X4),X5))
| phi(X6)
| ~ succ_cpq(X6,insert_cpq(insert_cpq(triple(X1,X2,X0),X3),X4)) ),
inference(resolution,[],[f1331,f239]) ).
fof(f1331,plain,
! [X2,X3,X0,X1,X4,X5] :
( ok(insert_cpq(insert_cpq(insert_cpq(triple(X0,X2,X3),X1),X4),X5))
| bad = X3 ),
inference(superposition,[],[f1326,f195]) ).
fof(f1333,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ check_cpq(insert_cpq(insert_cpq(insert_cpq(insert_cpq(triple(X0,X2,X3),X1),X4),X5),X6))
| ~ strictly_less_than(X6,bottom) ),
inference(superposition,[],[f1328,f195]) ).
fof(f1328,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ check_cpq(insert_cpq(insert_cpq(insert_cpq(triple(X0,X2,X3),X1),X4),X5))
| ~ strictly_less_than(X5,bottom) ),
inference(superposition,[],[f1323,f195]) ).
fof(f1327,plain,
! [X2,X3,X0,X1,X4,X5] : ~ ok(insert_cpq(insert_cpq(insert_cpq(insert_cpq(triple(X0,X2,bad),X1),X3),X4),X5)),
inference(superposition,[],[f1322,f195]) ).
fof(f1330,plain,
! [X2,X3,X0,X1,X4,X5] :
( bad = X0
| ~ check_cpq(insert_cpq(insert_cpq(triple(X1,X2,X0),X3),X4))
| phi(X5)
| ~ succ_cpq(X5,insert_cpq(triple(X1,X2,X0),X3)) ),
inference(resolution,[],[f1326,f239]) ).
fof(f1326,plain,
! [X2,X3,X0,X1,X4] :
( ok(insert_cpq(insert_cpq(triple(X0,X2,X3),X1),X4))
| bad = X3 ),
inference(superposition,[],[f1319,f195]) ).
fof(f1323,plain,
! [X2,X3,X0,X1,X4] :
( ~ check_cpq(insert_cpq(insert_cpq(triple(X0,X2,X3),X1),X4))
| ~ strictly_less_than(X4,bottom) ),
inference(superposition,[],[f1313,f195]) ).
fof(f1322,plain,
! [X2,X3,X0,X1,X4] : ~ ok(insert_cpq(insert_cpq(insert_cpq(triple(X0,X2,bad),X1),X3),X4)),
inference(superposition,[],[f1321,f195]) ).
fof(f1325,plain,
! [X2,X3,X0,X1,X4] :
( bad = X0
| ~ check_cpq(insert_cpq(triple(X1,X2,X0),X3))
| phi(X4)
| ~ succ_cpq(X4,triple(X1,X2,X0)) ),
inference(resolution,[],[f1319,f239]) ).
fof(f1319,plain,
! [X2,X3,X0,X1] :
( ok(insert_cpq(triple(X0,X2,X3),X1))
| bad = X3 ),
inference(superposition,[],[f189,f195]) ).
fof(f1313,plain,
! [X2,X3,X0,X1] :
( ~ check_cpq(insert_cpq(triple(X0,X2,X3),X1))
| ~ strictly_less_than(X1,bottom) ),
inference(superposition,[],[f213,f195]) ).
fof(f1321,plain,
! [X2,X3,X0,X1] : ~ ok(insert_cpq(insert_cpq(triple(X0,X2,bad),X1),X3)),
inference(superposition,[],[f1314,f195]) ).
fof(f1314,plain,
! [X2,X0,X1] : ~ ok(insert_cpq(triple(X0,X2,bad),X1)),
inference(superposition,[],[f182,f195]) ).
fof(f1316,plain,
! [X2,X3,X0,X1] :
( findmin_cpq_res(insert_cpq(triple(X0,X2,X3),X1)) = findmin_pqp_res(insert_pqp(X0,X1))
| create_slb = insert_slb(X2,pair(X1,bottom)) ),
inference(superposition,[],[f196,f195]) ).
fof(f1320,plain,
! [X2,X3,X0,X1] :
( ~ phi(findmin_cpq_eff(insert_cpq(triple(X0,X2,X3),X1)))
| pi_sharp_find_min(i(insert_cpq(triple(X0,X2,X3),X1)),findmin_cpq_res(insert_cpq(triple(X0,X2,X3),X1))) ),
inference(forward_demodulation,[],[f1315,f195]) ).
fof(f1315,plain,
! [X2,X3,X0,X1] :
( pi_sharp_find_min(i(insert_cpq(triple(X0,X2,X3),X1)),findmin_cpq_res(insert_cpq(triple(X0,X2,X3),X1)))
| ~ phi(findmin_cpq_eff(triple(insert_pqp(X0,X1),insert_slb(X2,pair(X1,bottom)),X3))) ),
inference(superposition,[],[f145,f195]) ).
fof(f195,plain,
! [X2,X3,X0,X1] : insert_cpq(triple(X0,X1,X2),X3) = triple(insert_pqp(X0,X3),insert_slb(X1,pair(X3,bottom)),X2),
inference(cnf_transformation,[],[f42]) ).
fof(f42,axiom,
! [X0,X1,X2,X3] : insert_cpq(triple(X0,X1,X2),X3) = triple(insert_pqp(X0,X3),insert_slb(X1,pair(X3,bottom)),X2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax42) ).
fof(f1308,plain,
! [X2,X3,X0,X1] : insert_pq(insert_pq(X0,X2),X1) = remove_pq(insert_pq(insert_pq(insert_pq(X0,X1),X3),X2),X3),
inference(superposition,[],[f802,f186]) ).
fof(f1307,plain,
! [X2,X3,X0,X1] : insert_pq(insert_pq(X0,X2),X1) = remove_pq(insert_pq(insert_pq(insert_pq(X0,X1),X3),X2),X3),
inference(superposition,[],[f802,f186]) ).
fof(f1306,plain,
! [X2,X3,X0,X1] : insert_pq(insert_pq(X0,X2),X1) = remove_pq(insert_pq(insert_pq(insert_pq(X0,X3),X1),X2),X3),
inference(superposition,[],[f802,f317]) ).
fof(f1300,plain,
! [X2,X3,X0,X1,X4] : insert_pq(insert_pq(insert_pq(X0,X1),X3),X2) = remove_pq(insert_pq(insert_pq(insert_pq(insert_pq(X0,X3),X1),X2),X4),X4),
inference(superposition,[],[f802,f317]) ).
fof(f1299,plain,
! [X2,X3,X0,X1,X4] : insert_pq(insert_pq(insert_pq(X0,X1),X3),X2) = remove_pq(insert_pq(insert_pq(insert_pq(insert_pq(X0,X2),X3),X1),X4),X4),
inference(superposition,[],[f802,f317]) ).
fof(f1298,plain,
! [X2,X3,X0,X1,X4] : insert_pq(insert_pq(insert_pq(X0,X1),X3),X2) = remove_pq(insert_pq(insert_pq(insert_pq(insert_pq(X0,X3),X2),X1),X4),X4),
inference(superposition,[],[f802,f761]) ).
fof(f1297,plain,
! [X2,X3,X0,X1,X4] : insert_pq(insert_pq(insert_pq(X0,X1),X3),X2) = remove_pq(insert_pq(insert_pq(insert_pq(insert_pq(X0,X3),X2),X1),X4),X4),
inference(superposition,[],[f802,f761]) ).
fof(f1296,plain,
! [X2,X3,X0,X1,X4] : insert_pq(insert_pq(insert_pq(X0,X1),X3),X2) = remove_pq(insert_pq(insert_pq(insert_pq(insert_pq(X0,X2),X1),X3),X4),X4),
inference(superposition,[],[f802,f766]) ).
fof(f1295,plain,
! [X2,X3,X0,X1,X4] : insert_pq(insert_pq(insert_pq(X0,X1),X3),X2) = remove_pq(insert_pq(insert_pq(insert_pq(insert_pq(X0,X2),X1),X3),X4),X4),
inference(superposition,[],[f802,f766]) ).
fof(f1292,plain,
! [X2,X3,X0,X1,X4,X5] : insert_pq(insert_pq(insert_pq(insert_pq(X0,X1),X2),X4),X3) = remove_pq(insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(X0,X3),X1),X2),X4),X5),X5),
inference(superposition,[],[f802,f317]) ).
fof(f1291,plain,
! [X2,X3,X0,X1,X4,X5] : insert_pq(insert_pq(insert_pq(insert_pq(X0,X1),X2),X4),X3) = remove_pq(insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(X0,X2),X3),X1),X4),X5),X5),
inference(superposition,[],[f802,f317]) ).
fof(f1290,plain,
! [X2,X3,X0,X1,X4,X5] : insert_pq(insert_pq(insert_pq(insert_pq(X0,X1),X2),X4),X3) = remove_pq(insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(X0,X3),X2),X1),X4),X5),X5),
inference(superposition,[],[f802,f761]) ).
fof(f1289,plain,
! [X2,X3,X0,X1,X4,X5] : insert_pq(insert_pq(insert_pq(insert_pq(X0,X1),X2),X4),X3) = remove_pq(insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(X0,X3),X2),X1),X4),X5),X5),
inference(superposition,[],[f802,f761]) ).
fof(f1288,plain,
! [X2,X3,X0,X1,X4,X5] : insert_pq(insert_pq(insert_pq(insert_pq(X0,X1),X2),X4),X3) = remove_pq(insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(X0,X2),X1),X3),X4),X5),X5),
inference(superposition,[],[f802,f766]) ).
fof(f1287,plain,
! [X2,X3,X0,X1,X4,X5] : insert_pq(insert_pq(insert_pq(insert_pq(X0,X1),X2),X4),X3) = remove_pq(insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(X0,X2),X1),X3),X4),X5),X5),
inference(superposition,[],[f802,f766]) ).
fof(f1286,plain,
! [X2,X3,X0,X1,X4] : insert_pq(insert_pq(insert_pq(X0,X1),X3),X2) = remove_pq(insert_pq(insert_pq(insert_pq(insert_pq(X0,X2),X1),X3),X4),X4),
inference(superposition,[],[f802,f186]) ).
fof(f1285,plain,
! [X2,X3,X0,X1,X4] : insert_pq(insert_pq(insert_pq(X0,X1),X3),X2) = remove_pq(insert_pq(insert_pq(insert_pq(insert_pq(X0,X2),X1),X3),X4),X4),
inference(superposition,[],[f802,f186]) ).
fof(f802,plain,
! [X2,X3,X0,X1] : insert_pq(insert_pq(X0,X1),X3) = remove_pq(insert_pq(insert_pq(insert_pq(X0,X3),X1),X2),X2),
inference(superposition,[],[f324,f317]) ).
fof(f1284,plain,
! [X2,X3,X0,X1] : insert_pq(insert_pq(insert_pq(X0,X1),X2),X3) = removemin_pq_eff(insert_pq(insert_pq(insert_pq(insert_pq(X0,X2),X1),bottom),X3),bottom),
inference(superposition,[],[f467,f766]) ).
fof(f1283,plain,
! [X2,X0,X1] : insert_pq(insert_pq(X0,X1),X2) = removemin_pq_eff(insert_pq(insert_pq(insert_pq(X0,X2),X1),bottom),bottom),
inference(superposition,[],[f466,f766]) ).
fof(f1272,plain,
! [X2,X3,X0,X1,X4,X5] : insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(X0,X2),X1),X3),X5),X4) = insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(X0,X1),X2),X4),X5),X3),
inference(superposition,[],[f761,f766]) ).
fof(f1271,plain,
! [X2,X3,X0,X1,X4,X5] : insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(X0,X2),X1),X3),X4),X5) = insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(X0,X1),X2),X5),X4),X3),
inference(superposition,[],[f761,f766]) ).
fof(f1270,plain,
! [X2,X3,X0,X1,X4] :
( ~ contains_pq(insert_pq(insert_pq(insert_pq(X0,X2),X1),X3),bottom)
| bottom = removemin_pq_res(insert_pq(insert_pq(insert_pq(insert_pq(X0,X1),X2),X4),X3),bottom) ),
inference(superposition,[],[f446,f766]) ).
fof(f1269,plain,
! [X2,X3,X0,X1,X4] :
( ~ contains_pq(insert_pq(insert_pq(insert_pq(X0,X2),X1),X3),bottom)
| bottom = findmin_pq_res(insert_pq(insert_pq(insert_pq(insert_pq(X0,X1),X2),X4),X3),bottom) ),
inference(superposition,[],[f445,f766]) ).
fof(f1268,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ contains_pq(insert_pq(insert_pq(insert_pq(X0,X2),X1),X3),X4)
| contains_pq(insert_pq(insert_pq(insert_pq(X0,X1),X2),X5),X4)
| X3 = X4 ),
inference(superposition,[],[f442,f766]) ).
fof(f1266,plain,
! [X2,X3,X0,X1,X4,X5] : insert_pq(insert_pq(insert_pq(insert_pq(X0,X1),X2),X4),X5) = remove_pq(insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(X0,X2),X1),X3),X4),X5),X3),
inference(superposition,[],[f374,f766]) ).
fof(f1265,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ contains_pq(insert_pq(insert_pq(insert_pq(insert_pq(X0,X2),X1),X3),X4),X5)
| contains_pq(insert_pq(insert_pq(insert_pq(X0,X1),X2),X4),X5)
| X3 = X5 ),
inference(superposition,[],[f368,f766]) ).
fof(f1261,plain,
! [X2,X3,X0,X1,X4] : insert_pq(insert_pq(insert_pq(X0,X1),X2),X4) = remove_pq(insert_pq(insert_pq(insert_pq(insert_pq(X0,X2),X1),X3),X4),X3),
inference(superposition,[],[f324,f766]) ).
fof(f1260,plain,
! [X2,X3,X0,X1,X4,X5] :
( contains_pq(insert_pq(insert_pq(insert_pq(insert_pq(X0,X2),X1),X3),X4),X5)
| ~ contains_pq(insert_pq(insert_pq(insert_pq(X0,X1),X2),X4),X5) ),
inference(superposition,[],[f323,f766]) ).
fof(f1259,plain,
! [X2,X3,X0,X1,X4,X5] : insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(X0,X2),X1),X3),X4),X5) = insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(X0,X1),X2),X4),X5),X3),
inference(superposition,[],[f317,f766]) ).
fof(f1258,plain,
! [X2,X3,X0,X1,X4,X5] : insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(X0,X2),X1),X3),X4),X5) = insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(X0,X1),X2),X5),X3),X4),
inference(superposition,[],[f317,f766]) ).
fof(f1256,plain,
! [X2,X3,X0,X1,X4] :
( contains_pq(insert_pq(insert_pq(insert_pq(X0,X2),X1),X3),X4)
| ~ contains_pq(insert_pq(insert_pq(X0,X1),X2),X4) ),
inference(superposition,[],[f193,f766]) ).
fof(f1255,plain,
! [X2,X3,X0,X1,X4] :
( ~ contains_pq(insert_pq(insert_pq(insert_pq(X0,X2),X1),X3),X4)
| contains_pq(insert_pq(insert_pq(X0,X1),X2),X4)
| X3 = X4 ),
inference(superposition,[],[f192,f766]) ).
fof(f1254,plain,
! [X2,X3,X0,X1,X4] : insert_pq(insert_pq(insert_pq(insert_pq(X0,X2),X1),X3),X4) = insert_pq(insert_pq(insert_pq(insert_pq(X0,X1),X2),X4),X3),
inference(superposition,[],[f186,f766]) ).
fof(f1253,plain,
! [X2,X3,X0,X1,X4] : insert_pq(insert_pq(insert_pq(insert_pq(X0,X2),X1),X3),X4) = insert_pq(insert_pq(insert_pq(insert_pq(X0,X1),X2),X4),X3),
inference(superposition,[],[f186,f766]) ).
fof(f1252,plain,
! [X2,X3,X0,X1] : insert_pq(insert_pq(X0,X1),X2) = remove_pq(insert_pq(insert_pq(insert_pq(X0,X2),X1),X3),X3),
inference(superposition,[],[f166,f766]) ).
fof(f1250,plain,
! [X2,X3,X0,X1,X4] : insert_pq(insert_pq(insert_pq(insert_pq(X0,X2),X1),X3),X4) = insert_pq(insert_pq(insert_pq(insert_pq(X0,X1),X4),X3),X2),
inference(superposition,[],[f761,f766]) ).
fof(f1249,plain,
! [X2,X3,X0,X1,X4] : insert_pq(insert_pq(insert_pq(insert_pq(X0,X2),X1),X3),X4) = insert_pq(insert_pq(insert_pq(insert_pq(X0,X1),X4),X3),X2),
inference(superposition,[],[f761,f766]) ).
fof(f1248,plain,
! [X2,X3,X0,X1,X6,X4,X5] : contains_pq(insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(X0,X2),X1),X3),X4),X5),X6),X2),
inference(superposition,[],[f409,f766]) ).
fof(f1247,plain,
! [X2,X3,X0,X1,X4] : insert_pq(insert_pq(insert_pq(X0,X1),X3),X4) = remove_pq(insert_pq(insert_pq(insert_pq(insert_pq(X0,X2),X1),X3),X4),X2),
inference(superposition,[],[f374,f766]) ).
fof(f1246,plain,
! [X2,X3,X0,X1,X4] :
( ~ contains_pq(insert_pq(insert_pq(insert_pq(X0,X2),X1),X3),X4)
| contains_pq(insert_pq(insert_pq(X0,X1),X3),X4)
| X2 = X4 ),
inference(superposition,[],[f368,f766]) ).
fof(f1241,plain,
! [X2,X3,X0,X1,X4] :
( contains_pq(insert_pq(insert_pq(insert_pq(X0,X2),X1),X3),X4)
| ~ contains_pq(insert_pq(insert_pq(X0,X1),X3),X4) ),
inference(superposition,[],[f323,f766]) ).
fof(f1240,plain,
! [X2,X3,X0,X1,X4] : insert_pq(insert_pq(insert_pq(insert_pq(X0,X2),X1),X3),X4) = insert_pq(insert_pq(insert_pq(insert_pq(X0,X1),X4),X2),X3),
inference(superposition,[],[f317,f766]) ).
fof(f1239,plain,
! [X2,X3,X0,X1,X4] : insert_pq(insert_pq(insert_pq(insert_pq(X0,X2),X1),X3),X4) = insert_pq(insert_pq(insert_pq(insert_pq(X0,X1),X3),X4),X2),
inference(superposition,[],[f317,f766]) ).
fof(f1236,plain,
! [X2,X0,X1] : insert_pq(insert_pq(X0,X1),X2) = removemin_pq_eff(insert_pq(insert_pq(insert_pq(X0,bottom),X1),X2),bottom),
inference(superposition,[],[f467,f766]) ).
fof(f1233,plain,
! [X2,X3,X0,X1,X4] : bottom = removemin_pq_res(insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(X0,bottom),X1),X2),X3),X4),bottom),
inference(superposition,[],[f353,f766]) ).
fof(f1232,plain,
! [X2,X3,X0,X1,X4] : bottom = findmin_pq_res(insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(X0,bottom),X1),X2),X3),X4),bottom),
inference(superposition,[],[f352,f766]) ).
fof(f1231,plain,
! [X2,X0,X1] : insert_pq(insert_pq(insert_pq(X0,bottom),X1),X2) = findmin_pq_eff(insert_pq(insert_pq(insert_pq(X0,bottom),X1),X2),bottom),
inference(superposition,[],[f347,f766]) ).
fof(f1211,plain,
! [X2,X3,X0,X1] : insert_pq(insert_pq(insert_pq(X0,X1),X2),X3) = removemin_pq_eff(insert_pq(insert_pq(insert_pq(insert_pq(X0,X2),X1),bottom),X3),bottom),
inference(superposition,[],[f467,f766]) ).
fof(f1210,plain,
! [X2,X0,X1] : insert_pq(insert_pq(X0,X1),X2) = removemin_pq_eff(insert_pq(insert_pq(insert_pq(X0,X2),X1),bottom),bottom),
inference(superposition,[],[f466,f766]) ).
fof(f1199,plain,
! [X2,X3,X0,X1,X4,X5] : insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(X0,X2),X1),X3),X5),X4) = insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(X0,X1),X2),X4),X5),X3),
inference(superposition,[],[f761,f766]) ).
fof(f1198,plain,
! [X2,X3,X0,X1,X4,X5] : insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(X0,X2),X1),X3),X4),X5) = insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(X0,X1),X2),X5),X4),X3),
inference(superposition,[],[f761,f766]) ).
fof(f1197,plain,
! [X2,X3,X0,X1,X4] :
( ~ contains_pq(insert_pq(insert_pq(insert_pq(X0,X2),X1),X3),bottom)
| bottom = removemin_pq_res(insert_pq(insert_pq(insert_pq(insert_pq(X0,X1),X2),X4),X3),bottom) ),
inference(superposition,[],[f446,f766]) ).
fof(f1196,plain,
! [X2,X3,X0,X1,X4] :
( ~ contains_pq(insert_pq(insert_pq(insert_pq(X0,X2),X1),X3),bottom)
| bottom = findmin_pq_res(insert_pq(insert_pq(insert_pq(insert_pq(X0,X1),X2),X4),X3),bottom) ),
inference(superposition,[],[f445,f766]) ).
fof(f1195,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ contains_pq(insert_pq(insert_pq(insert_pq(X0,X2),X1),X3),X4)
| contains_pq(insert_pq(insert_pq(insert_pq(X0,X1),X2),X5),X4)
| X3 = X4 ),
inference(superposition,[],[f442,f766]) ).
fof(f1193,plain,
! [X2,X3,X0,X1,X4,X5] : insert_pq(insert_pq(insert_pq(insert_pq(X0,X1),X2),X4),X5) = remove_pq(insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(X0,X2),X1),X3),X4),X5),X3),
inference(superposition,[],[f374,f766]) ).
fof(f1192,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ contains_pq(insert_pq(insert_pq(insert_pq(insert_pq(X0,X2),X1),X3),X4),X5)
| contains_pq(insert_pq(insert_pq(insert_pq(X0,X1),X2),X4),X5)
| X3 = X5 ),
inference(superposition,[],[f368,f766]) ).
fof(f1188,plain,
! [X2,X3,X0,X1,X4] : insert_pq(insert_pq(insert_pq(X0,X1),X2),X4) = remove_pq(insert_pq(insert_pq(insert_pq(insert_pq(X0,X2),X1),X3),X4),X3),
inference(superposition,[],[f324,f766]) ).
fof(f1187,plain,
! [X2,X3,X0,X1,X4,X5] :
( contains_pq(insert_pq(insert_pq(insert_pq(insert_pq(X0,X2),X1),X3),X4),X5)
| ~ contains_pq(insert_pq(insert_pq(insert_pq(X0,X1),X2),X4),X5) ),
inference(superposition,[],[f323,f766]) ).
fof(f1186,plain,
! [X2,X3,X0,X1,X4,X5] : insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(X0,X2),X1),X3),X4),X5) = insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(X0,X1),X2),X4),X5),X3),
inference(superposition,[],[f317,f766]) ).
fof(f1185,plain,
! [X2,X3,X0,X1,X4,X5] : insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(X0,X2),X1),X3),X4),X5) = insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(X0,X1),X2),X5),X3),X4),
inference(superposition,[],[f317,f766]) ).
fof(f1183,plain,
! [X2,X3,X0,X1,X4] :
( contains_pq(insert_pq(insert_pq(insert_pq(X0,X2),X1),X3),X4)
| ~ contains_pq(insert_pq(insert_pq(X0,X1),X2),X4) ),
inference(superposition,[],[f193,f766]) ).
fof(f1182,plain,
! [X2,X3,X0,X1,X4] :
( ~ contains_pq(insert_pq(insert_pq(insert_pq(X0,X2),X1),X3),X4)
| contains_pq(insert_pq(insert_pq(X0,X1),X2),X4)
| X3 = X4 ),
inference(superposition,[],[f192,f766]) ).
fof(f1181,plain,
! [X2,X3,X0,X1,X4] : insert_pq(insert_pq(insert_pq(insert_pq(X0,X2),X1),X3),X4) = insert_pq(insert_pq(insert_pq(insert_pq(X0,X1),X2),X4),X3),
inference(superposition,[],[f186,f766]) ).
fof(f1180,plain,
! [X2,X3,X0,X1,X4] : insert_pq(insert_pq(insert_pq(insert_pq(X0,X2),X1),X3),X4) = insert_pq(insert_pq(insert_pq(insert_pq(X0,X1),X2),X4),X3),
inference(superposition,[],[f186,f766]) ).
fof(f1179,plain,
! [X2,X3,X0,X1] : insert_pq(insert_pq(X0,X1),X2) = remove_pq(insert_pq(insert_pq(insert_pq(X0,X2),X1),X3),X3),
inference(superposition,[],[f166,f766]) ).
fof(f1177,plain,
! [X2,X3,X0,X1,X4] : insert_pq(insert_pq(insert_pq(insert_pq(X0,X2),X1),X3),X4) = insert_pq(insert_pq(insert_pq(insert_pq(X0,X1),X4),X3),X2),
inference(superposition,[],[f761,f766]) ).
fof(f1176,plain,
! [X2,X3,X0,X1,X4] : insert_pq(insert_pq(insert_pq(insert_pq(X0,X2),X1),X3),X4) = insert_pq(insert_pq(insert_pq(insert_pq(X0,X1),X4),X3),X2),
inference(superposition,[],[f761,f766]) ).
fof(f1175,plain,
! [X2,X3,X0,X1,X6,X4,X5] : contains_pq(insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(X0,X2),X1),X3),X4),X5),X6),X2),
inference(superposition,[],[f409,f766]) ).
fof(f1174,plain,
! [X2,X3,X0,X1,X4] : insert_pq(insert_pq(insert_pq(X0,X1),X3),X4) = remove_pq(insert_pq(insert_pq(insert_pq(insert_pq(X0,X2),X1),X3),X4),X2),
inference(superposition,[],[f374,f766]) ).
fof(f1173,plain,
! [X2,X3,X0,X1,X4] :
( ~ contains_pq(insert_pq(insert_pq(insert_pq(X0,X2),X1),X3),X4)
| contains_pq(insert_pq(insert_pq(X0,X1),X3),X4)
| X2 = X4 ),
inference(superposition,[],[f368,f766]) ).
fof(f1168,plain,
! [X2,X3,X0,X1,X4] :
( contains_pq(insert_pq(insert_pq(insert_pq(X0,X2),X1),X3),X4)
| ~ contains_pq(insert_pq(insert_pq(X0,X1),X3),X4) ),
inference(superposition,[],[f323,f766]) ).
fof(f1167,plain,
! [X2,X3,X0,X1,X4] : insert_pq(insert_pq(insert_pq(insert_pq(X0,X2),X1),X3),X4) = insert_pq(insert_pq(insert_pq(insert_pq(X0,X1),X4),X2),X3),
inference(superposition,[],[f317,f766]) ).
fof(f1166,plain,
! [X2,X3,X0,X1,X4] : insert_pq(insert_pq(insert_pq(insert_pq(X0,X2),X1),X3),X4) = insert_pq(insert_pq(insert_pq(insert_pq(X0,X1),X3),X4),X2),
inference(superposition,[],[f317,f766]) ).
fof(f1163,plain,
! [X2,X0,X1] : insert_pq(insert_pq(X0,X1),X2) = removemin_pq_eff(insert_pq(insert_pq(insert_pq(X0,bottom),X1),X2),bottom),
inference(superposition,[],[f467,f766]) ).
fof(f1160,plain,
! [X2,X3,X0,X1,X4] : bottom = removemin_pq_res(insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(X0,bottom),X1),X2),X3),X4),bottom),
inference(superposition,[],[f353,f766]) ).
fof(f1159,plain,
! [X2,X3,X0,X1,X4] : bottom = findmin_pq_res(insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(X0,bottom),X1),X2),X3),X4),bottom),
inference(superposition,[],[f352,f766]) ).
fof(f1158,plain,
! [X2,X0,X1] : insert_pq(insert_pq(insert_pq(X0,bottom),X1),X2) = findmin_pq_eff(insert_pq(insert_pq(insert_pq(X0,bottom),X1),X2),bottom),
inference(superposition,[],[f347,f766]) ).
fof(f1132,plain,
! [X2,X3,X0,X1,X4] : insert_pq(insert_pq(insert_pq(insert_pq(X0,X1),X3),X2),X4) = insert_pq(insert_pq(insert_pq(insert_pq(X0,X3),X1),X2),X4),
inference(superposition,[],[f766,f317]) ).
fof(f1131,plain,
! [X2,X3,X0,X1,X4] : insert_pq(insert_pq(insert_pq(insert_pq(X0,X1),X3),X2),X4) = insert_pq(insert_pq(insert_pq(insert_pq(X0,X2),X3),X1),X4),
inference(superposition,[],[f766,f317]) ).
fof(f1130,plain,
! [X2,X3,X0,X1,X4] : insert_pq(insert_pq(insert_pq(insert_pq(X0,X1),X3),X2),X4) = insert_pq(insert_pq(insert_pq(insert_pq(X0,X3),X2),X1),X4),
inference(superposition,[],[f766,f761]) ).
fof(f1129,plain,
! [X2,X3,X0,X1,X4] : insert_pq(insert_pq(insert_pq(insert_pq(X0,X1),X3),X2),X4) = insert_pq(insert_pq(insert_pq(insert_pq(X0,X3),X2),X1),X4),
inference(superposition,[],[f766,f761]) ).
fof(f1128,plain,
! [X2,X3,X0,X1,X4] : insert_pq(insert_pq(insert_pq(insert_pq(X0,X2),X1),X3),X4) = insert_pq(insert_pq(insert_pq(insert_pq(X0,X1),X3),X2),X4),
inference(superposition,[],[f766,f766]) ).
fof(f1127,plain,
! [X2,X3,X0,X1,X4] : insert_pq(insert_pq(insert_pq(insert_pq(X0,X2),X1),X3),X4) = insert_pq(insert_pq(insert_pq(insert_pq(X0,X1),X3),X2),X4),
inference(superposition,[],[f766,f766]) ).
fof(f1126,plain,
! [X2,X3,X0,X1,X4,X5] : insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(X0,X1),X2),X4),X3),X5) = insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(X0,X3),X1),X2),X4),X5),
inference(superposition,[],[f766,f317]) ).
fof(f1125,plain,
! [X2,X3,X0,X1,X4,X5] : insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(X0,X1),X2),X4),X3),X5) = insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(X0,X2),X3),X1),X4),X5),
inference(superposition,[],[f766,f317]) ).
fof(f1124,plain,
! [X2,X3,X0,X1,X4,X5] : insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(X0,X1),X2),X4),X3),X5) = insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(X0,X3),X2),X1),X4),X5),
inference(superposition,[],[f766,f761]) ).
fof(f1123,plain,
! [X2,X3,X0,X1,X4,X5] : insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(X0,X1),X2),X4),X3),X5) = insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(X0,X3),X2),X1),X4),X5),
inference(superposition,[],[f766,f761]) ).
fof(f1122,plain,
! [X2,X3,X0,X1,X4,X5] : insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(X0,X2),X1),X3),X4),X5) = insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(X0,X1),X2),X4),X3),X5),
inference(superposition,[],[f766,f766]) ).
fof(f1121,plain,
! [X2,X3,X0,X1,X4,X5] : insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(X0,X2),X1),X3),X4),X5) = insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(X0,X1),X2),X4),X3),X5),
inference(superposition,[],[f766,f766]) ).
fof(f1120,plain,
! [X2,X3,X0,X1,X4] : insert_pq(insert_pq(insert_pq(insert_pq(X0,X2),X1),X3),X4) = insert_pq(insert_pq(insert_pq(insert_pq(X0,X1),X3),X2),X4),
inference(superposition,[],[f766,f186]) ).
fof(f1119,plain,
! [X2,X3,X0,X1,X4] : insert_pq(insert_pq(insert_pq(insert_pq(X0,X2),X1),X3),X4) = insert_pq(insert_pq(insert_pq(insert_pq(X0,X1),X3),X2),X4),
inference(superposition,[],[f766,f186]) ).
fof(f1112,plain,
! [X2,X3,X0,X1,X4] : insert_pq(insert_pq(insert_pq(insert_pq(X0,X1),X3),X2),X4) = insert_pq(insert_pq(insert_pq(insert_pq(X0,X3),X1),X2),X4),
inference(superposition,[],[f766,f317]) ).
fof(f1111,plain,
! [X2,X3,X0,X1,X4] : insert_pq(insert_pq(insert_pq(insert_pq(X0,X1),X3),X2),X4) = insert_pq(insert_pq(insert_pq(insert_pq(X0,X2),X3),X1),X4),
inference(superposition,[],[f766,f317]) ).
fof(f1110,plain,
! [X2,X3,X0,X1,X4] : insert_pq(insert_pq(insert_pq(insert_pq(X0,X1),X3),X2),X4) = insert_pq(insert_pq(insert_pq(insert_pq(X0,X3),X2),X1),X4),
inference(superposition,[],[f766,f761]) ).
fof(f1109,plain,
! [X2,X3,X0,X1,X4] : insert_pq(insert_pq(insert_pq(insert_pq(X0,X1),X3),X2),X4) = insert_pq(insert_pq(insert_pq(insert_pq(X0,X3),X2),X1),X4),
inference(superposition,[],[f766,f761]) ).
fof(f1108,plain,
! [X2,X3,X0,X1,X4] : insert_pq(insert_pq(insert_pq(insert_pq(X0,X2),X1),X3),X4) = insert_pq(insert_pq(insert_pq(insert_pq(X0,X1),X3),X2),X4),
inference(superposition,[],[f766,f766]) ).
fof(f1107,plain,
! [X2,X3,X0,X1,X4] : insert_pq(insert_pq(insert_pq(insert_pq(X0,X2),X1),X3),X4) = insert_pq(insert_pq(insert_pq(insert_pq(X0,X1),X3),X2),X4),
inference(superposition,[],[f766,f766]) ).
fof(f1106,plain,
! [X2,X3,X0,X1,X4,X5] : insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(X0,X1),X2),X4),X3),X5) = insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(X0,X3),X1),X2),X4),X5),
inference(superposition,[],[f766,f317]) ).
fof(f1105,plain,
! [X2,X3,X0,X1,X4,X5] : insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(X0,X1),X2),X4),X3),X5) = insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(X0,X2),X3),X1),X4),X5),
inference(superposition,[],[f766,f317]) ).
fof(f1104,plain,
! [X2,X3,X0,X1,X4,X5] : insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(X0,X1),X2),X4),X3),X5) = insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(X0,X3),X2),X1),X4),X5),
inference(superposition,[],[f766,f761]) ).
fof(f1103,plain,
! [X2,X3,X0,X1,X4,X5] : insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(X0,X1),X2),X4),X3),X5) = insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(X0,X3),X2),X1),X4),X5),
inference(superposition,[],[f766,f761]) ).
fof(f1102,plain,
! [X2,X3,X0,X1,X4,X5] : insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(X0,X2),X1),X3),X4),X5) = insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(X0,X1),X2),X4),X3),X5),
inference(superposition,[],[f766,f766]) ).
fof(f1101,plain,
! [X2,X3,X0,X1,X4,X5] : insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(X0,X2),X1),X3),X4),X5) = insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(X0,X1),X2),X4),X3),X5),
inference(superposition,[],[f766,f766]) ).
fof(f1100,plain,
! [X2,X3,X0,X1,X4] : insert_pq(insert_pq(insert_pq(insert_pq(X0,X2),X1),X3),X4) = insert_pq(insert_pq(insert_pq(insert_pq(X0,X1),X3),X2),X4),
inference(superposition,[],[f766,f186]) ).
fof(f1099,plain,
! [X2,X3,X0,X1,X4] : insert_pq(insert_pq(insert_pq(insert_pq(X0,X2),X1),X3),X4) = insert_pq(insert_pq(insert_pq(insert_pq(X0,X1),X3),X2),X4),
inference(superposition,[],[f766,f186]) ).
fof(f766,plain,
! [X2,X3,X0,X1] : insert_pq(insert_pq(insert_pq(X0,X1),X3),X2) = insert_pq(insert_pq(insert_pq(X0,X3),X1),X2),
inference(superposition,[],[f317,f186]) ).
fof(f1098,plain,
! [X2,X3,X0,X1] : insert_pq(insert_pq(insert_pq(X0,X1),X2),X3) = removemin_pq_eff(insert_pq(insert_pq(insert_pq(insert_pq(X0,bottom),X2),X1),X3),bottom),
inference(superposition,[],[f467,f761]) ).
fof(f1097,plain,
! [X2,X0,X1] : insert_pq(insert_pq(X0,X1),X2) = removemin_pq_eff(insert_pq(insert_pq(insert_pq(X0,bottom),X2),X1),bottom),
inference(superposition,[],[f466,f761]) ).
fof(f1096,plain,
! [X2,X3,X0,X1,X4] : bottom = removemin_pq_res(insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(X0,bottom),X2),X1),X3),X4),bottom),
inference(superposition,[],[f355,f761]) ).
fof(f1095,plain,
! [X2,X3,X0,X1,X4] : bottom = findmin_pq_res(insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(X0,bottom),X2),X1),X3),X4),bottom),
inference(superposition,[],[f354,f761]) ).
fof(f1094,plain,
! [X2,X3,X0,X1,X4,X5] : bottom = removemin_pq_res(insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(X0,bottom),X2),X1),X3),X4),X5),bottom),
inference(superposition,[],[f353,f761]) ).
fof(f1093,plain,
! [X2,X3,X0,X1,X4,X5] : bottom = findmin_pq_res(insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(X0,bottom),X2),X1),X3),X4),X5),bottom),
inference(superposition,[],[f352,f761]) ).
fof(f1092,plain,
! [X2,X3,X0,X1] : insert_pq(insert_pq(insert_pq(insert_pq(X0,bottom),X2),X1),X3) = findmin_pq_eff(insert_pq(insert_pq(insert_pq(insert_pq(X0,bottom),X2),X1),X3),bottom),
inference(superposition,[],[f347,f761]) ).
fof(f1087,plain,
! [X2,X0,X1] : insert_pq(insert_pq(insert_pq(X0,bottom),X2),X1) = findmin_pq_eff(insert_pq(insert_pq(insert_pq(X0,bottom),X2),X1),bottom),
inference(superposition,[],[f296,f761]) ).
fof(f1086,plain,
! [X2,X3,X0,X1,X4] :
( ~ contains_pq(insert_pq(insert_pq(insert_pq(X0,X3),X2),X1),bottom)
| bottom = removemin_pq_res(insert_pq(insert_pq(insert_pq(insert_pq(X0,X1),X2),X4),X3),bottom) ),
inference(superposition,[],[f446,f761]) ).
fof(f1085,plain,
! [X2,X3,X0,X1,X4] :
( ~ contains_pq(insert_pq(insert_pq(insert_pq(X0,X3),X2),X1),bottom)
| bottom = findmin_pq_res(insert_pq(insert_pq(insert_pq(insert_pq(X0,X1),X2),X4),X3),bottom) ),
inference(superposition,[],[f445,f761]) ).
fof(f1084,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ contains_pq(insert_pq(insert_pq(insert_pq(X0,X3),X2),X1),X4)
| contains_pq(insert_pq(insert_pq(insert_pq(X0,X1),X2),X5),X4)
| X3 = X4 ),
inference(superposition,[],[f442,f761]) ).
fof(f1083,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] : contains_pq(insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(X0,X3),X2),X1),X4),X5),X6),X7),X3),
inference(superposition,[],[f409,f761]) ).
fof(f1082,plain,
! [X2,X3,X0,X1,X4,X5] : insert_pq(insert_pq(insert_pq(insert_pq(X0,X1),X2),X4),X5) = remove_pq(insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(X0,X3),X2),X1),X4),X5),X3),
inference(superposition,[],[f374,f761]) ).
fof(f1081,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ contains_pq(insert_pq(insert_pq(insert_pq(insert_pq(X0,X3),X2),X1),X4),X5)
| contains_pq(insert_pq(insert_pq(insert_pq(X0,X1),X2),X4),X5)
| X3 = X5 ),
inference(superposition,[],[f368,f761]) ).
fof(f1080,plain,
! [X2,X3,X0,X1,X6,X4,X5] : contains_pq(insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(X0,X3),X2),X1),X4),X5),X6),X3),
inference(superposition,[],[f357,f761]) ).
fof(f1077,plain,
! [X2,X3,X0,X1,X4] : insert_pq(insert_pq(insert_pq(X0,X1),X2),X4) = remove_pq(insert_pq(insert_pq(insert_pq(insert_pq(X0,X3),X2),X1),X4),X3),
inference(superposition,[],[f324,f761]) ).
fof(f1076,plain,
! [X2,X3,X0,X1,X4,X5] :
( contains_pq(insert_pq(insert_pq(insert_pq(insert_pq(X0,X3),X2),X1),X4),X5)
| ~ contains_pq(insert_pq(insert_pq(insert_pq(X0,X1),X2),X4),X5) ),
inference(superposition,[],[f323,f761]) ).
fof(f1075,plain,
! [X2,X3,X0,X1,X4,X5] : insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(X0,X1),X2),X4),X5),X3) = insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(X0,X3),X2),X1),X4),X5),
inference(superposition,[],[f317,f761]) ).
fof(f1074,plain,
! [X2,X3,X0,X1,X4,X5] : insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(X0,X1),X2),X5),X3),X4) = insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(X0,X3),X2),X1),X4),X5),
inference(superposition,[],[f317,f761]) ).
fof(f1072,plain,
! [X2,X3,X0,X1,X4] :
( contains_pq(insert_pq(insert_pq(insert_pq(X0,X3),X2),X1),X4)
| ~ contains_pq(insert_pq(insert_pq(X0,X1),X2),X4) ),
inference(superposition,[],[f193,f761]) ).
fof(f1071,plain,
! [X2,X3,X0,X1,X4] :
( ~ contains_pq(insert_pq(insert_pq(insert_pq(X0,X3),X2),X1),X4)
| contains_pq(insert_pq(insert_pq(X0,X1),X2),X4)
| X3 = X4 ),
inference(superposition,[],[f192,f761]) ).
fof(f1070,plain,
! [X2,X3,X0,X1,X4] : insert_pq(insert_pq(insert_pq(insert_pq(X0,X1),X2),X4),X3) = insert_pq(insert_pq(insert_pq(insert_pq(X0,X3),X2),X1),X4),
inference(superposition,[],[f186,f761]) ).
fof(f1069,plain,
! [X2,X3,X0,X1,X4] : insert_pq(insert_pq(insert_pq(insert_pq(X0,X1),X2),X4),X3) = insert_pq(insert_pq(insert_pq(insert_pq(X0,X3),X2),X1),X4),
inference(superposition,[],[f186,f761]) ).
fof(f1068,plain,
! [X2,X3,X0,X1] : insert_pq(insert_pq(X0,X1),X2) = remove_pq(insert_pq(insert_pq(insert_pq(X0,X3),X2),X1),X3),
inference(superposition,[],[f166,f761]) ).
fof(f1065,plain,
! [X2,X3,X0,X1,X4] : insert_pq(insert_pq(insert_pq(X0,X1),X3),X4) = remove_pq(insert_pq(insert_pq(insert_pq(insert_pq(X0,X3),X2),X1),X4),X2),
inference(superposition,[],[f374,f761]) ).
fof(f1064,plain,
! [X2,X3,X0,X1,X4] :
( ~ contains_pq(insert_pq(insert_pq(insert_pq(X0,X3),X2),X1),X4)
| contains_pq(insert_pq(insert_pq(X0,X1),X3),X4)
| X2 = X4 ),
inference(superposition,[],[f368,f761]) ).
fof(f1060,plain,
! [X2,X3,X0,X1] : insert_pq(insert_pq(X0,X1),X3) = remove_pq(insert_pq(insert_pq(insert_pq(X0,X3),X2),X1),X2),
inference(superposition,[],[f324,f761]) ).
fof(f1059,plain,
! [X2,X3,X0,X1,X4] :
( contains_pq(insert_pq(insert_pq(insert_pq(X0,X3),X2),X1),X4)
| ~ contains_pq(insert_pq(insert_pq(X0,X1),X3),X4) ),
inference(superposition,[],[f323,f761]) ).
fof(f1058,plain,
! [X2,X3,X0,X1,X4] : insert_pq(insert_pq(insert_pq(insert_pq(X0,X1),X4),X2),X3) = insert_pq(insert_pq(insert_pq(insert_pq(X0,X3),X2),X1),X4),
inference(superposition,[],[f317,f761]) ).
fof(f1057,plain,
! [X2,X3,X0,X1,X4] : insert_pq(insert_pq(insert_pq(insert_pq(X0,X1),X3),X4),X2) = insert_pq(insert_pq(insert_pq(insert_pq(X0,X3),X2),X1),X4),
inference(superposition,[],[f317,f761]) ).
fof(f1054,plain,
! [X2,X0,X1] : insert_pq(insert_pq(X0,X1),X2) = removemin_pq_eff(insert_pq(insert_pq(insert_pq(X0,X2),bottom),X1),bottom),
inference(superposition,[],[f467,f761]) ).
fof(f1036,plain,
! [X2,X3,X0,X1] : insert_pq(insert_pq(X0,X2),X3) = remove_pq(insert_pq(insert_pq(insert_pq(X0,X3),X2),X1),X1),
inference(superposition,[],[f374,f761]) ).
fof(f1033,plain,
! [X2,X3,X0,X1] : insert_pq(insert_pq(insert_pq(X0,X2),X3),X1) = insert_pq(insert_pq(insert_pq(X0,X3),X2),X1),
inference(superposition,[],[f317,f761]) ).
fof(f1031,plain,
! [X2,X3,X0,X1] : insert_pq(insert_pq(insert_pq(X0,X1),X2),X3) = removemin_pq_eff(insert_pq(insert_pq(insert_pq(insert_pq(X0,bottom),X2),X1),X3),bottom),
inference(superposition,[],[f467,f761]) ).
fof(f1030,plain,
! [X2,X0,X1] : insert_pq(insert_pq(X0,X1),X2) = removemin_pq_eff(insert_pq(insert_pq(insert_pq(X0,bottom),X2),X1),bottom),
inference(superposition,[],[f466,f761]) ).
fof(f1029,plain,
! [X2,X3,X0,X1,X4] : bottom = removemin_pq_res(insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(X0,bottom),X2),X1),X3),X4),bottom),
inference(superposition,[],[f355,f761]) ).
fof(f1028,plain,
! [X2,X3,X0,X1,X4] : bottom = findmin_pq_res(insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(X0,bottom),X2),X1),X3),X4),bottom),
inference(superposition,[],[f354,f761]) ).
fof(f1027,plain,
! [X2,X3,X0,X1,X4,X5] : bottom = removemin_pq_res(insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(X0,bottom),X2),X1),X3),X4),X5),bottom),
inference(superposition,[],[f353,f761]) ).
fof(f1026,plain,
! [X2,X3,X0,X1,X4,X5] : bottom = findmin_pq_res(insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(X0,bottom),X2),X1),X3),X4),X5),bottom),
inference(superposition,[],[f352,f761]) ).
fof(f1025,plain,
! [X2,X3,X0,X1] : insert_pq(insert_pq(insert_pq(insert_pq(X0,bottom),X2),X1),X3) = findmin_pq_eff(insert_pq(insert_pq(insert_pq(insert_pq(X0,bottom),X2),X1),X3),bottom),
inference(superposition,[],[f347,f761]) ).
fof(f1020,plain,
! [X2,X0,X1] : insert_pq(insert_pq(insert_pq(X0,bottom),X2),X1) = findmin_pq_eff(insert_pq(insert_pq(insert_pq(X0,bottom),X2),X1),bottom),
inference(superposition,[],[f296,f761]) ).
fof(f1019,plain,
! [X2,X3,X0,X1,X4] :
( ~ contains_pq(insert_pq(insert_pq(insert_pq(X0,X3),X2),X1),bottom)
| bottom = removemin_pq_res(insert_pq(insert_pq(insert_pq(insert_pq(X0,X1),X2),X4),X3),bottom) ),
inference(superposition,[],[f446,f761]) ).
fof(f1018,plain,
! [X2,X3,X0,X1,X4] :
( ~ contains_pq(insert_pq(insert_pq(insert_pq(X0,X3),X2),X1),bottom)
| bottom = findmin_pq_res(insert_pq(insert_pq(insert_pq(insert_pq(X0,X1),X2),X4),X3),bottom) ),
inference(superposition,[],[f445,f761]) ).
fof(f1017,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ contains_pq(insert_pq(insert_pq(insert_pq(X0,X3),X2),X1),X4)
| contains_pq(insert_pq(insert_pq(insert_pq(X0,X1),X2),X5),X4)
| X3 = X4 ),
inference(superposition,[],[f442,f761]) ).
fof(f1016,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] : contains_pq(insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(X0,X3),X2),X1),X4),X5),X6),X7),X3),
inference(superposition,[],[f409,f761]) ).
fof(f1015,plain,
! [X2,X3,X0,X1,X4,X5] : insert_pq(insert_pq(insert_pq(insert_pq(X0,X1),X2),X4),X5) = remove_pq(insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(X0,X3),X2),X1),X4),X5),X3),
inference(superposition,[],[f374,f761]) ).
fof(f1014,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ contains_pq(insert_pq(insert_pq(insert_pq(insert_pq(X0,X3),X2),X1),X4),X5)
| contains_pq(insert_pq(insert_pq(insert_pq(X0,X1),X2),X4),X5)
| X3 = X5 ),
inference(superposition,[],[f368,f761]) ).
fof(f1013,plain,
! [X2,X3,X0,X1,X6,X4,X5] : contains_pq(insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(X0,X3),X2),X1),X4),X5),X6),X3),
inference(superposition,[],[f357,f761]) ).
fof(f1010,plain,
! [X2,X3,X0,X1,X4] : insert_pq(insert_pq(insert_pq(X0,X1),X2),X4) = remove_pq(insert_pq(insert_pq(insert_pq(insert_pq(X0,X3),X2),X1),X4),X3),
inference(superposition,[],[f324,f761]) ).
fof(f1009,plain,
! [X2,X3,X0,X1,X4,X5] :
( contains_pq(insert_pq(insert_pq(insert_pq(insert_pq(X0,X3),X2),X1),X4),X5)
| ~ contains_pq(insert_pq(insert_pq(insert_pq(X0,X1),X2),X4),X5) ),
inference(superposition,[],[f323,f761]) ).
fof(f1008,plain,
! [X2,X3,X0,X1,X4,X5] : insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(X0,X1),X2),X4),X5),X3) = insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(X0,X3),X2),X1),X4),X5),
inference(superposition,[],[f317,f761]) ).
fof(f1007,plain,
! [X2,X3,X0,X1,X4,X5] : insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(X0,X1),X2),X5),X3),X4) = insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(X0,X3),X2),X1),X4),X5),
inference(superposition,[],[f317,f761]) ).
fof(f1005,plain,
! [X2,X3,X0,X1,X4] :
( contains_pq(insert_pq(insert_pq(insert_pq(X0,X3),X2),X1),X4)
| ~ contains_pq(insert_pq(insert_pq(X0,X1),X2),X4) ),
inference(superposition,[],[f193,f761]) ).
fof(f1004,plain,
! [X2,X3,X0,X1,X4] :
( ~ contains_pq(insert_pq(insert_pq(insert_pq(X0,X3),X2),X1),X4)
| contains_pq(insert_pq(insert_pq(X0,X1),X2),X4)
| X3 = X4 ),
inference(superposition,[],[f192,f761]) ).
fof(f1003,plain,
! [X2,X3,X0,X1,X4] : insert_pq(insert_pq(insert_pq(insert_pq(X0,X1),X2),X4),X3) = insert_pq(insert_pq(insert_pq(insert_pq(X0,X3),X2),X1),X4),
inference(superposition,[],[f186,f761]) ).
fof(f1002,plain,
! [X2,X3,X0,X1,X4] : insert_pq(insert_pq(insert_pq(insert_pq(X0,X1),X2),X4),X3) = insert_pq(insert_pq(insert_pq(insert_pq(X0,X3),X2),X1),X4),
inference(superposition,[],[f186,f761]) ).
fof(f1001,plain,
! [X2,X3,X0,X1] : insert_pq(insert_pq(X0,X1),X2) = remove_pq(insert_pq(insert_pq(insert_pq(X0,X3),X2),X1),X3),
inference(superposition,[],[f166,f761]) ).
fof(f998,plain,
! [X2,X3,X0,X1,X4] : insert_pq(insert_pq(insert_pq(X0,X1),X3),X4) = remove_pq(insert_pq(insert_pq(insert_pq(insert_pq(X0,X3),X2),X1),X4),X2),
inference(superposition,[],[f374,f761]) ).
fof(f997,plain,
! [X2,X3,X0,X1,X4] :
( ~ contains_pq(insert_pq(insert_pq(insert_pq(X0,X3),X2),X1),X4)
| contains_pq(insert_pq(insert_pq(X0,X1),X3),X4)
| X2 = X4 ),
inference(superposition,[],[f368,f761]) ).
fof(f993,plain,
! [X2,X3,X0,X1] : insert_pq(insert_pq(X0,X1),X3) = remove_pq(insert_pq(insert_pq(insert_pq(X0,X3),X2),X1),X2),
inference(superposition,[],[f324,f761]) ).
fof(f992,plain,
! [X2,X3,X0,X1,X4] :
( contains_pq(insert_pq(insert_pq(insert_pq(X0,X3),X2),X1),X4)
| ~ contains_pq(insert_pq(insert_pq(X0,X1),X3),X4) ),
inference(superposition,[],[f323,f761]) ).
fof(f991,plain,
! [X2,X3,X0,X1,X4] : insert_pq(insert_pq(insert_pq(insert_pq(X0,X1),X4),X2),X3) = insert_pq(insert_pq(insert_pq(insert_pq(X0,X3),X2),X1),X4),
inference(superposition,[],[f317,f761]) ).
fof(f990,plain,
! [X2,X3,X0,X1,X4] : insert_pq(insert_pq(insert_pq(insert_pq(X0,X1),X3),X4),X2) = insert_pq(insert_pq(insert_pq(insert_pq(X0,X3),X2),X1),X4),
inference(superposition,[],[f317,f761]) ).
fof(f987,plain,
! [X2,X0,X1] : insert_pq(insert_pq(X0,X1),X2) = removemin_pq_eff(insert_pq(insert_pq(insert_pq(X0,X2),bottom),X1),bottom),
inference(superposition,[],[f467,f761]) ).
fof(f969,plain,
! [X2,X3,X0,X1] : insert_pq(insert_pq(X0,X2),X3) = remove_pq(insert_pq(insert_pq(insert_pq(X0,X3),X2),X1),X1),
inference(superposition,[],[f374,f761]) ).
fof(f966,plain,
! [X2,X3,X0,X1] : insert_pq(insert_pq(insert_pq(X0,X2),X3),X1) = insert_pq(insert_pq(insert_pq(X0,X3),X2),X1),
inference(superposition,[],[f317,f761]) ).
fof(f961,plain,
! [X2,X3,X0,X1] : insert_pq(insert_pq(insert_pq(X0,X2),X3),X1) = insert_pq(insert_pq(insert_pq(X0,X3),X2),X1),
inference(superposition,[],[f761,f317]) ).
fof(f960,plain,
! [X2,X3,X0,X1,X4] : insert_pq(insert_pq(insert_pq(insert_pq(X0,X3),X1),X2),X4) = insert_pq(insert_pq(insert_pq(insert_pq(X0,X1),X4),X3),X2),
inference(superposition,[],[f761,f317]) ).
fof(f959,plain,
! [X2,X3,X0,X1,X4] : insert_pq(insert_pq(insert_pq(insert_pq(X0,X2),X3),X1),X4) = insert_pq(insert_pq(insert_pq(insert_pq(X0,X1),X4),X3),X2),
inference(superposition,[],[f761,f317]) ).
fof(f958,plain,
! [X2,X3,X0,X1,X4] : insert_pq(insert_pq(insert_pq(insert_pq(X0,X1),X4),X3),X2) = insert_pq(insert_pq(insert_pq(insert_pq(X0,X3),X2),X1),X4),
inference(superposition,[],[f761,f761]) ).
fof(f957,plain,
! [X2,X3,X0,X1,X4] : insert_pq(insert_pq(insert_pq(insert_pq(X0,X1),X4),X3),X2) = insert_pq(insert_pq(insert_pq(insert_pq(X0,X3),X2),X1),X4),
inference(superposition,[],[f761,f761]) ).
fof(f954,plain,
! [X2,X3,X0,X1,X4,X5] : insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(X0,X1),X2),X4),X5),X3) = insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(X0,X3),X1),X2),X5),X4),
inference(superposition,[],[f761,f317]) ).
fof(f953,plain,
! [X2,X3,X0,X1,X4,X5] : insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(X0,X1),X2),X4),X5),X3) = insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(X0,X2),X3),X1),X5),X4),
inference(superposition,[],[f761,f317]) ).
fof(f952,plain,
! [X2,X3,X0,X1,X4,X5] : insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(X0,X1),X2),X4),X5),X3) = insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(X0,X3),X2),X1),X5),X4),
inference(superposition,[],[f761,f761]) ).
fof(f951,plain,
! [X2,X3,X0,X1,X4,X5] : insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(X0,X1),X2),X4),X5),X3) = insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(X0,X3),X2),X1),X5),X4),
inference(superposition,[],[f761,f761]) ).
fof(f950,plain,
! [X2,X3,X0,X1,X4] : insert_pq(insert_pq(insert_pq(insert_pq(X0,X2),X1),X4),X3) = insert_pq(insert_pq(insert_pq(insert_pq(X0,X1),X3),X4),X2),
inference(superposition,[],[f761,f186]) ).
fof(f949,plain,
! [X2,X3,X0,X1,X4] : insert_pq(insert_pq(insert_pq(insert_pq(X0,X2),X1),X4),X3) = insert_pq(insert_pq(insert_pq(insert_pq(X0,X1),X3),X4),X2),
inference(superposition,[],[f761,f186]) ).
fof(f945,plain,
! [X2,X3,X0,X1] : insert_pq(insert_pq(insert_pq(X0,X2),X3),X1) = insert_pq(insert_pq(insert_pq(X0,X3),X2),X1),
inference(superposition,[],[f761,f317]) ).
fof(f944,plain,
! [X2,X3,X0,X1,X4] : insert_pq(insert_pq(insert_pq(insert_pq(X0,X3),X1),X2),X4) = insert_pq(insert_pq(insert_pq(insert_pq(X0,X1),X4),X3),X2),
inference(superposition,[],[f761,f317]) ).
fof(f943,plain,
! [X2,X3,X0,X1,X4] : insert_pq(insert_pq(insert_pq(insert_pq(X0,X2),X3),X1),X4) = insert_pq(insert_pq(insert_pq(insert_pq(X0,X1),X4),X3),X2),
inference(superposition,[],[f761,f317]) ).
fof(f942,plain,
! [X2,X3,X0,X1,X4] : insert_pq(insert_pq(insert_pq(insert_pq(X0,X1),X4),X3),X2) = insert_pq(insert_pq(insert_pq(insert_pq(X0,X3),X2),X1),X4),
inference(superposition,[],[f761,f761]) ).
fof(f941,plain,
! [X2,X3,X0,X1,X4] : insert_pq(insert_pq(insert_pq(insert_pq(X0,X1),X4),X3),X2) = insert_pq(insert_pq(insert_pq(insert_pq(X0,X3),X2),X1),X4),
inference(superposition,[],[f761,f761]) ).
fof(f938,plain,
! [X2,X3,X0,X1,X4,X5] : insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(X0,X3),X1),X2),X4),X5) = insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(X0,X1),X2),X5),X4),X3),
inference(superposition,[],[f761,f317]) ).
fof(f937,plain,
! [X2,X3,X0,X1,X4,X5] : insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(X0,X2),X3),X1),X4),X5) = insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(X0,X1),X2),X5),X4),X3),
inference(superposition,[],[f761,f317]) ).
fof(f936,plain,
! [X2,X3,X0,X1,X4,X5] : insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(X0,X1),X2),X5),X4),X3) = insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(X0,X3),X2),X1),X4),X5),
inference(superposition,[],[f761,f761]) ).
fof(f935,plain,
! [X2,X3,X0,X1,X4,X5] : insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(X0,X1),X2),X5),X4),X3) = insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(X0,X3),X2),X1),X4),X5),
inference(superposition,[],[f761,f761]) ).
fof(f934,plain,
! [X2,X3,X0,X1,X4] : insert_pq(insert_pq(insert_pq(insert_pq(X0,X2),X1),X3),X4) = insert_pq(insert_pq(insert_pq(insert_pq(X0,X1),X4),X3),X2),
inference(superposition,[],[f761,f186]) ).
fof(f933,plain,
! [X2,X3,X0,X1,X4] : insert_pq(insert_pq(insert_pq(insert_pq(X0,X2),X1),X3),X4) = insert_pq(insert_pq(insert_pq(insert_pq(X0,X1),X4),X3),X2),
inference(superposition,[],[f761,f186]) ).
fof(f761,plain,
! [X2,X3,X0,X1] : insert_pq(insert_pq(insert_pq(X0,X2),X1),X3) = insert_pq(insert_pq(insert_pq(X0,X3),X1),X2),
inference(superposition,[],[f317,f186]) ).
fof(f929,plain,
! [X2,X0,X1] :
( sK5(X1,X2) = X0
| remove_pq(insert_pq(X1,X0),sK5(X1,X2)) = insert_pq(remove_pq(X1,sK5(X1,X2)),X0)
| issmallestelement_pq(X1,X2) ),
inference(resolution,[],[f190,f177]) ).
fof(f928,plain,
! [X0,X1] :
( sK3(X1) = X0
| remove_pq(insert_pq(i(X1),X0),sK3(X1)) = insert_pq(remove_pq(i(X1),sK3(X1)),X0)
| ~ pi_find_min(X1) ),
inference(resolution,[],[f190,f226]) ).
fof(f927,plain,
! [X2,X3,X0,X1,X4] :
( X0 = X1
| remove_pq(insert_pq(insert_pq(insert_pq(X2,X3),X4),X0),X1) = insert_pq(remove_pq(insert_pq(insert_pq(X2,X3),X4),X1),X0)
| ~ contains_pq(insert_pq(X2,X4),X1) ),
inference(resolution,[],[f190,f323]) ).
fof(f926,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( X0 = X1
| remove_pq(insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(X2,X1),X3),X4),X5),X6),X0),X1) = insert_pq(remove_pq(insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(X2,X1),X3),X4),X5),X6),X1),X0) ),
inference(resolution,[],[f190,f409]) ).
fof(f925,plain,
! [X2,X3,X0,X1,X4,X5] :
( X0 = X1
| remove_pq(insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(X2,X1),X3),X4),X5),X0),X1) = insert_pq(remove_pq(insert_pq(insert_pq(insert_pq(insert_pq(X2,X1),X3),X4),X5),X1),X0) ),
inference(resolution,[],[f190,f357]) ).
fof(f932,plain,
! [X2,X3,X0,X1,X4] :
( remove_pq(insert_pq(insert_pq(insert_pq(insert_pq(X2,X1),X3),X4),X0),X1) = insert_pq(insert_pq(insert_pq(X2,X3),X4),X0)
| X0 = X1 ),
inference(forward_demodulation,[],[f924,f374]) ).
fof(f924,plain,
! [X2,X3,X0,X1,X4] :
( X0 = X1
| remove_pq(insert_pq(insert_pq(insert_pq(insert_pq(X2,X1),X3),X4),X0),X1) = insert_pq(remove_pq(insert_pq(insert_pq(insert_pq(X2,X1),X3),X4),X1),X0) ),
inference(resolution,[],[f190,f348]) ).
fof(f922,plain,
! [X2,X3,X0,X1] :
( X0 = X1
| remove_pq(insert_pq(insert_pq(X2,X3),X0),X1) = insert_pq(remove_pq(insert_pq(X2,X3),X1),X0)
| ~ contains_pq(X2,X1) ),
inference(resolution,[],[f190,f193]) ).
fof(f190,plain,
! [X2,X0,X1] :
( ~ contains_pq(X0,X2)
| X1 = X2
| remove_pq(insert_pq(X0,X1),X2) = insert_pq(remove_pq(X0,X2),X1) ),
inference(cnf_transformation,[],[f97]) ).
fof(f97,plain,
! [X0,X1,X2] :
( remove_pq(insert_pq(X0,X1),X2) = insert_pq(remove_pq(X0,X2),X1)
| X1 = X2
| ~ contains_pq(X0,X2) ),
inference(flattening,[],[f96]) ).
fof(f96,plain,
! [X0,X1,X2] :
( remove_pq(insert_pq(X0,X1),X2) = insert_pq(remove_pq(X0,X2),X1)
| X1 = X2
| ~ contains_pq(X0,X2) ),
inference(ennf_transformation,[],[f12]) ).
fof(f12,axiom,
! [X0,X1,X2] :
( ( X1 != X2
& contains_pq(X0,X2) )
=> remove_pq(insert_pq(X0,X1),X2) = insert_pq(remove_pq(X0,X2),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax12) ).
fof(f918,plain,
! [X2,X3,X0,X1] : insert_pq(insert_pq(X0,X2),X3) = remove_pq(insert_pq(insert_pq(insert_pq(X0,X1),X3),X2),X1),
inference(superposition,[],[f374,f186]) ).
fof(f917,plain,
! [X2,X3,X0,X1] : insert_pq(insert_pq(X0,X2),X3) = remove_pq(insert_pq(insert_pq(insert_pq(X0,X1),X3),X2),X1),
inference(superposition,[],[f374,f186]) ).
fof(f916,plain,
! [X2,X3,X0,X1] : insert_pq(insert_pq(X0,X2),X3) = remove_pq(insert_pq(insert_pq(insert_pq(X0,X3),X1),X2),X1),
inference(superposition,[],[f374,f317]) ).
fof(f914,plain,
! [X2,X3,X0,X1,X4] : insert_pq(insert_pq(insert_pq(X0,X1),X3),X4) = remove_pq(insert_pq(insert_pq(insert_pq(insert_pq(X0,X3),X1),X2),X4),X2),
inference(superposition,[],[f374,f317]) ).
fof(f913,plain,
! [X2,X3,X0,X1,X4] : insert_pq(insert_pq(insert_pq(X0,X1),X3),X4) = remove_pq(insert_pq(insert_pq(insert_pq(insert_pq(X0,X2),X3),X1),X4),X2),
inference(superposition,[],[f374,f317]) ).
fof(f910,plain,
! [X2,X3,X0,X1,X4,X5] : insert_pq(insert_pq(insert_pq(insert_pq(X0,X1),X2),X4),X5) = remove_pq(insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(X0,X3),X1),X2),X4),X5),X3),
inference(superposition,[],[f374,f317]) ).
fof(f909,plain,
! [X2,X3,X0,X1,X4,X5] : insert_pq(insert_pq(insert_pq(insert_pq(X0,X1),X2),X4),X5) = remove_pq(insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(X0,X2),X3),X1),X4),X5),X3),
inference(superposition,[],[f374,f317]) ).
fof(f908,plain,
! [X2,X3,X0,X1,X4] : insert_pq(insert_pq(insert_pq(X0,X1),X3),X4) = remove_pq(insert_pq(insert_pq(insert_pq(insert_pq(X0,X2),X1),X3),X4),X2),
inference(superposition,[],[f374,f186]) ).
fof(f907,plain,
! [X2,X3,X0,X1,X4] : insert_pq(insert_pq(insert_pq(X0,X1),X3),X4) = remove_pq(insert_pq(insert_pq(insert_pq(insert_pq(X0,X2),X1),X3),X4),X2),
inference(superposition,[],[f374,f186]) ).
fof(f374,plain,
! [X2,X3,X0,X1] : insert_pq(insert_pq(X0,X1),X3) = remove_pq(insert_pq(insert_pq(insert_pq(X0,X2),X1),X3),X2),
inference(superposition,[],[f324,f186]) ).
fof(f906,plain,
! [X2,X3,X0,X1,X4] :
( ~ contains_pq(insert_pq(insert_pq(insert_pq(X0,X3),X1),X2),X4)
| contains_pq(insert_pq(insert_pq(X0,X1),X3),X4)
| X2 = X4 ),
inference(superposition,[],[f368,f317]) ).
fof(f905,plain,
! [X2,X3,X0,X1,X4] :
( ~ contains_pq(insert_pq(insert_pq(insert_pq(X0,X2),X3),X1),X4)
| contains_pq(insert_pq(insert_pq(X0,X1),X3),X4)
| X2 = X4 ),
inference(superposition,[],[f368,f317]) ).
fof(f902,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ contains_pq(insert_pq(insert_pq(insert_pq(insert_pq(X0,X3),X1),X2),X4),X5)
| contains_pq(insert_pq(insert_pq(insert_pq(X0,X1),X2),X4),X5)
| X3 = X5 ),
inference(superposition,[],[f368,f317]) ).
fof(f901,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ contains_pq(insert_pq(insert_pq(insert_pq(insert_pq(X0,X2),X3),X1),X4),X5)
| contains_pq(insert_pq(insert_pq(insert_pq(X0,X1),X2),X4),X5)
| X3 = X5 ),
inference(superposition,[],[f368,f317]) ).
fof(f900,plain,
! [X2,X3,X0,X1,X4] :
( ~ contains_pq(insert_pq(insert_pq(insert_pq(X0,X2),X1),X3),X4)
| contains_pq(insert_pq(insert_pq(X0,X1),X3),X4)
| X2 = X4 ),
inference(superposition,[],[f368,f186]) ).
fof(f899,plain,
! [X2,X3,X0,X1,X4] :
( ~ contains_pq(insert_pq(insert_pq(insert_pq(X0,X2),X1),X3),X4)
| contains_pq(insert_pq(insert_pq(X0,X1),X3),X4)
| X2 = X4 ),
inference(superposition,[],[f368,f186]) ).
fof(f898,plain,
! [X2,X3,X0,X1] :
( contains_pq(insert_pq(X0,X1),sK5(insert_pq(insert_pq(X0,X2),X1),X3))
| sK5(insert_pq(insert_pq(X0,X2),X1),X3) = X2
| issmallestelement_pq(insert_pq(insert_pq(X0,X2),X1),X3) ),
inference(resolution,[],[f368,f177]) ).
fof(f368,plain,
! [X2,X3,X0,X1] :
( ~ contains_pq(insert_pq(insert_pq(X0,X2),X1),X3)
| contains_pq(insert_pq(X0,X1),X3)
| X2 = X3 ),
inference(superposition,[],[f192,f186]) ).
fof(f890,plain,
! [X2,X3,X0,X1] : insert_pq(insert_pq(insert_pq(X0,X1),X2),X3) = removemin_pq_eff(insert_pq(insert_pq(insert_pq(insert_pq(X0,X2),bottom),X1),X3),bottom),
inference(superposition,[],[f467,f317]) ).
fof(f886,plain,
! [X2,X3,X0,X1,X4,X5] : bottom = removemin_pq_res(insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(X0,X2),bottom),X1),X3),X4),X5),bottom),
inference(superposition,[],[f353,f317]) ).
fof(f885,plain,
! [X2,X3,X0,X1,X4,X5] : bottom = findmin_pq_res(insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(X0,X2),bottom),X1),X3),X4),X5),bottom),
inference(superposition,[],[f352,f317]) ).
fof(f884,plain,
! [X2,X3,X0,X1] : insert_pq(insert_pq(insert_pq(insert_pq(X0,X2),bottom),X1),X3) = findmin_pq_eff(insert_pq(insert_pq(insert_pq(insert_pq(X0,X2),bottom),X1),X3),bottom),
inference(superposition,[],[f347,f317]) ).
fof(f878,plain,
! [X2,X3,X0,X1,X4] :
( ~ contains_pq(insert_pq(insert_pq(insert_pq(X0,X2),X3),X1),bottom)
| bottom = removemin_pq_res(insert_pq(insert_pq(insert_pq(insert_pq(X0,X1),X2),X4),X3),bottom) ),
inference(superposition,[],[f446,f317]) ).
fof(f877,plain,
! [X2,X3,X0,X1,X4] :
( ~ contains_pq(insert_pq(insert_pq(insert_pq(X0,X2),X3),X1),bottom)
| bottom = findmin_pq_res(insert_pq(insert_pq(insert_pq(insert_pq(X0,X1),X2),X4),X3),bottom) ),
inference(superposition,[],[f445,f317]) ).
fof(f876,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ contains_pq(insert_pq(insert_pq(insert_pq(X0,X2),X3),X1),X4)
| contains_pq(insert_pq(insert_pq(insert_pq(X0,X1),X2),X5),X4)
| X3 = X4 ),
inference(superposition,[],[f442,f317]) ).
fof(f875,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] : contains_pq(insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(X0,X2),X3),X1),X4),X5),X6),X7),X3),
inference(superposition,[],[f409,f317]) ).
fof(f871,plain,
! [X2,X3,X0,X1,X4] : insert_pq(insert_pq(insert_pq(X0,X1),X2),X4) = remove_pq(insert_pq(insert_pq(insert_pq(insert_pq(X0,X2),X3),X1),X4),X3),
inference(superposition,[],[f324,f317]) ).
fof(f870,plain,
! [X2,X3,X0,X1,X4,X5] :
( contains_pq(insert_pq(insert_pq(insert_pq(insert_pq(X0,X2),X3),X1),X4),X5)
| ~ contains_pq(insert_pq(insert_pq(insert_pq(X0,X1),X2),X4),X5) ),
inference(superposition,[],[f323,f317]) ).
fof(f867,plain,
! [X2,X3,X0,X1,X4] :
( ~ contains_pq(insert_pq(insert_pq(insert_pq(X0,X2),X3),X1),X4)
| contains_pq(insert_pq(insert_pq(X0,X1),X2),X4)
| X3 = X4 ),
inference(superposition,[],[f192,f317]) ).
fof(f866,plain,
! [X2,X3,X0,X1,X4] : insert_pq(insert_pq(insert_pq(insert_pq(X0,X1),X2),X4),X3) = insert_pq(insert_pq(insert_pq(insert_pq(X0,X2),X3),X1),X4),
inference(superposition,[],[f186,f317]) ).
fof(f865,plain,
! [X2,X3,X0,X1,X4] : insert_pq(insert_pq(insert_pq(insert_pq(X0,X1),X2),X4),X3) = insert_pq(insert_pq(insert_pq(insert_pq(X0,X2),X3),X1),X4),
inference(superposition,[],[f186,f317]) ).
fof(f862,plain,
! [X2,X3,X0,X1,X6,X4,X5] : contains_pq(insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(X0,X2),X3),X1),X4),X5),X6),X2),
inference(superposition,[],[f409,f317]) ).
fof(f856,plain,
! [X2,X3,X0,X1] : insert_pq(insert_pq(insert_pq(X0,X1),X3),X2) = insert_pq(insert_pq(insert_pq(X0,X2),X3),X1),
inference(superposition,[],[f186,f317]) ).
fof(f855,plain,
! [X2,X3,X0,X1] : insert_pq(insert_pq(insert_pq(X0,X1),X3),X2) = insert_pq(insert_pq(insert_pq(X0,X2),X3),X1),
inference(superposition,[],[f186,f317]) ).
fof(f851,plain,
! [X2,X3,X0,X1,X4] : bottom = removemin_pq_res(insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(X0,bottom),X2),X1),X3),X4),bottom),
inference(superposition,[],[f353,f317]) ).
fof(f850,plain,
! [X2,X3,X0,X1,X4] : bottom = findmin_pq_res(insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(X0,bottom),X2),X1),X3),X4),bottom),
inference(superposition,[],[f352,f317]) ).
fof(f849,plain,
! [X2,X0,X1] : insert_pq(insert_pq(insert_pq(X0,bottom),X2),X1) = findmin_pq_eff(insert_pq(insert_pq(insert_pq(X0,bottom),X2),X1),bottom),
inference(superposition,[],[f347,f317]) ).
fof(f834,plain,
! [X2,X3,X0,X1] : insert_pq(insert_pq(insert_pq(X0,X1),X2),X3) = removemin_pq_eff(insert_pq(insert_pq(insert_pq(insert_pq(X0,bottom),X1),X2),X3),bottom),
inference(superposition,[],[f467,f317]) ).
fof(f833,plain,
! [X2,X0,X1] : insert_pq(insert_pq(X0,X1),X2) = removemin_pq_eff(insert_pq(insert_pq(insert_pq(X0,bottom),X1),X2),bottom),
inference(superposition,[],[f466,f317]) ).
fof(f832,plain,
! [X2,X3,X0,X1,X4] : bottom = removemin_pq_res(insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(X0,bottom),X1),X2),X3),X4),bottom),
inference(superposition,[],[f355,f317]) ).
fof(f831,plain,
! [X2,X3,X0,X1,X4] : bottom = findmin_pq_res(insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(X0,bottom),X1),X2),X3),X4),bottom),
inference(superposition,[],[f354,f317]) ).
fof(f830,plain,
! [X2,X3,X0,X1,X4,X5] : bottom = removemin_pq_res(insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(X0,bottom),X1),X2),X3),X4),X5),bottom),
inference(superposition,[],[f353,f317]) ).
fof(f829,plain,
! [X2,X3,X0,X1,X4,X5] : bottom = findmin_pq_res(insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(X0,bottom),X1),X2),X3),X4),X5),bottom),
inference(superposition,[],[f352,f317]) ).
fof(f828,plain,
! [X2,X3,X0,X1] : insert_pq(insert_pq(insert_pq(insert_pq(X0,bottom),X1),X2),X3) = findmin_pq_eff(insert_pq(insert_pq(insert_pq(insert_pq(X0,bottom),X1),X2),X3),bottom),
inference(superposition,[],[f347,f317]) ).
fof(f823,plain,
! [X2,X0,X1] : insert_pq(insert_pq(insert_pq(X0,bottom),X1),X2) = findmin_pq_eff(insert_pq(insert_pq(insert_pq(X0,bottom),X1),X2),bottom),
inference(superposition,[],[f296,f317]) ).
fof(f822,plain,
! [X2,X3,X0,X1,X4] :
( ~ contains_pq(insert_pq(insert_pq(insert_pq(X0,X3),X1),X2),bottom)
| bottom = removemin_pq_res(insert_pq(insert_pq(insert_pq(insert_pq(X0,X1),X2),X4),X3),bottom) ),
inference(superposition,[],[f446,f317]) ).
fof(f821,plain,
! [X2,X3,X0,X1,X4] :
( ~ contains_pq(insert_pq(insert_pq(insert_pq(X0,X3),X1),X2),bottom)
| bottom = findmin_pq_res(insert_pq(insert_pq(insert_pq(insert_pq(X0,X1),X2),X4),X3),bottom) ),
inference(superposition,[],[f445,f317]) ).
fof(f820,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ contains_pq(insert_pq(insert_pq(insert_pq(X0,X3),X1),X2),X4)
| contains_pq(insert_pq(insert_pq(insert_pq(X0,X1),X2),X5),X4)
| X3 = X4 ),
inference(superposition,[],[f442,f317]) ).
fof(f819,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] : contains_pq(insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(X0,X3),X1),X2),X4),X5),X6),X7),X3),
inference(superposition,[],[f409,f317]) ).
fof(f815,plain,
! [X2,X3,X0,X1,X4] : insert_pq(insert_pq(insert_pq(X0,X1),X2),X4) = remove_pq(insert_pq(insert_pq(insert_pq(insert_pq(X0,X3),X1),X2),X4),X3),
inference(superposition,[],[f324,f317]) ).
fof(f814,plain,
! [X2,X3,X0,X1,X4,X5] :
( contains_pq(insert_pq(insert_pq(insert_pq(insert_pq(X0,X3),X1),X2),X4),X5)
| ~ contains_pq(insert_pq(insert_pq(insert_pq(X0,X1),X2),X4),X5) ),
inference(superposition,[],[f323,f317]) ).
fof(f812,plain,
! [X2,X3,X0,X1,X4] :
( contains_pq(insert_pq(insert_pq(insert_pq(X0,X3),X1),X2),X4)
| ~ contains_pq(insert_pq(insert_pq(X0,X1),X2),X4) ),
inference(superposition,[],[f193,f317]) ).
fof(f811,plain,
! [X2,X3,X0,X1,X4] :
( ~ contains_pq(insert_pq(insert_pq(insert_pq(X0,X3),X1),X2),X4)
| contains_pq(insert_pq(insert_pq(X0,X1),X2),X4)
| X3 = X4 ),
inference(superposition,[],[f192,f317]) ).
fof(f810,plain,
! [X2,X3,X0,X1,X4] : insert_pq(insert_pq(insert_pq(insert_pq(X0,X1),X2),X4),X3) = insert_pq(insert_pq(insert_pq(insert_pq(X0,X3),X1),X2),X4),
inference(superposition,[],[f186,f317]) ).
fof(f809,plain,
! [X2,X3,X0,X1,X4] : insert_pq(insert_pq(insert_pq(insert_pq(X0,X1),X2),X4),X3) = insert_pq(insert_pq(insert_pq(insert_pq(X0,X3),X1),X2),X4),
inference(superposition,[],[f186,f317]) ).
fof(f808,plain,
! [X2,X3,X0,X1] : insert_pq(insert_pq(X0,X1),X2) = remove_pq(insert_pq(insert_pq(insert_pq(X0,X3),X1),X2),X3),
inference(superposition,[],[f166,f317]) ).
fof(f800,plain,
! [X2,X3,X0,X1] : insert_pq(insert_pq(insert_pq(X0,X1),X3),X2) = insert_pq(insert_pq(insert_pq(X0,X3),X1),X2),
inference(superposition,[],[f186,f317]) ).
fof(f799,plain,
! [X2,X3,X0,X1] : insert_pq(insert_pq(insert_pq(X0,X1),X3),X2) = insert_pq(insert_pq(insert_pq(X0,X3),X1),X2),
inference(superposition,[],[f186,f317]) ).
fof(f778,plain,
! [X2,X3,X0,X1] : insert_pq(insert_pq(insert_pq(X0,X1),X3),X2) = insert_pq(insert_pq(insert_pq(X0,X2),X3),X1),
inference(superposition,[],[f317,f186]) ).
fof(f777,plain,
! [X2,X3,X0,X1] : insert_pq(insert_pq(insert_pq(X0,X1),X3),X2) = insert_pq(insert_pq(insert_pq(X0,X2),X3),X1),
inference(superposition,[],[f317,f186]) ).
fof(f775,plain,
! [X2,X3,X0,X1,X4] : insert_pq(insert_pq(insert_pq(insert_pq(X0,X3),X1),X2),X4) = insert_pq(insert_pq(insert_pq(insert_pq(X0,X1),X3),X4),X2),
inference(superposition,[],[f317,f317]) ).
fof(f774,plain,
! [X2,X3,X0,X1,X4] : insert_pq(insert_pq(insert_pq(insert_pq(X0,X2),X3),X1),X4) = insert_pq(insert_pq(insert_pq(insert_pq(X0,X1),X3),X4),X2),
inference(superposition,[],[f317,f317]) ).
fof(f771,plain,
! [X2,X3,X0,X1,X4,X5] : insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(X0,X3),X1),X2),X4),X5) = insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(X0,X1),X2),X4),X5),X3),
inference(superposition,[],[f317,f317]) ).
fof(f770,plain,
! [X2,X3,X0,X1,X4,X5] : insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(X0,X2),X3),X1),X4),X5) = insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(X0,X1),X2),X4),X5),X3),
inference(superposition,[],[f317,f317]) ).
fof(f769,plain,
! [X2,X3,X0,X1,X4] : insert_pq(insert_pq(insert_pq(insert_pq(X0,X2),X1),X3),X4) = insert_pq(insert_pq(insert_pq(insert_pq(X0,X1),X3),X4),X2),
inference(superposition,[],[f317,f186]) ).
fof(f768,plain,
! [X2,X3,X0,X1,X4] : insert_pq(insert_pq(insert_pq(insert_pq(X0,X2),X1),X3),X4) = insert_pq(insert_pq(insert_pq(insert_pq(X0,X1),X3),X4),X2),
inference(superposition,[],[f317,f186]) ).
fof(f767,plain,
! [X2,X3,X0,X1] : insert_pq(insert_pq(insert_pq(X0,X1),X3),X2) = insert_pq(insert_pq(insert_pq(X0,X3),X1),X2),
inference(superposition,[],[f317,f186]) ).
fof(f764,plain,
! [X2,X3,X0,X1,X4] : insert_pq(insert_pq(insert_pq(insert_pq(X0,X1),X4),X2),X3) = insert_pq(insert_pq(insert_pq(insert_pq(X0,X3),X1),X2),X4),
inference(superposition,[],[f317,f317]) ).
fof(f763,plain,
! [X2,X3,X0,X1,X4] : insert_pq(insert_pq(insert_pq(insert_pq(X0,X1),X4),X2),X3) = insert_pq(insert_pq(insert_pq(insert_pq(X0,X2),X3),X1),X4),
inference(superposition,[],[f317,f317]) ).
fof(f762,plain,
! [X2,X3,X0,X1] : insert_pq(insert_pq(insert_pq(X0,X2),X1),X3) = insert_pq(insert_pq(insert_pq(X0,X3),X1),X2),
inference(superposition,[],[f317,f186]) ).
fof(f760,plain,
! [X2,X3,X0,X1,X4,X5] : insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(X0,X1),X2),X5),X3),X4) = insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(X0,X3),X1),X2),X4),X5),
inference(superposition,[],[f317,f317]) ).
fof(f759,plain,
! [X2,X3,X0,X1,X4,X5] : insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(X0,X1),X2),X5),X3),X4) = insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(X0,X2),X3),X1),X4),X5),
inference(superposition,[],[f317,f317]) ).
fof(f758,plain,
! [X2,X3,X0,X1,X4] : insert_pq(insert_pq(insert_pq(insert_pq(X0,X2),X1),X3),X4) = insert_pq(insert_pq(insert_pq(insert_pq(X0,X1),X4),X2),X3),
inference(superposition,[],[f317,f186]) ).
fof(f757,plain,
! [X2,X3,X0,X1,X4] : insert_pq(insert_pq(insert_pq(insert_pq(X0,X2),X1),X3),X4) = insert_pq(insert_pq(insert_pq(insert_pq(X0,X1),X4),X2),X3),
inference(superposition,[],[f317,f186]) ).
fof(f317,plain,
! [X2,X3,X0,X1] : insert_pq(insert_pq(insert_pq(X0,X1),X3),X2) = insert_pq(insert_pq(insert_pq(X0,X2),X1),X3),
inference(superposition,[],[f186,f186]) ).
fof(f744,plain,
! [X0] :
( ~ phi(triple(X0,create_slb,bad))
| pi_sharp_find_min(create_pq,bottom) ),
inference(forward_demodulation,[],[f743,f167]) ).
fof(f743,plain,
! [X0,X1] :
( pi_sharp_find_min(create_pq,bottom)
| ~ phi(findmin_cpq_eff(triple(X0,create_slb,X1))) ),
inference(forward_demodulation,[],[f740,f164]) ).
fof(f740,plain,
! [X0,X1] :
( pi_sharp_find_min(create_pq,findmin_cpq_res(triple(X0,create_slb,X1)))
| ~ phi(findmin_cpq_eff(triple(X0,create_slb,X1))) ),
inference(superposition,[],[f145,f165]) ).
fof(f746,plain,
! [X0] :
( ~ phi(triple(X0,create_slb,bad))
| pi_sharp_find_min(create_pq,bottom) ),
inference(forward_demodulation,[],[f745,f167]) ).
fof(f745,plain,
! [X0,X1] :
( pi_sharp_find_min(create_pq,bottom)
| ~ phi(findmin_cpq_eff(triple(X0,create_slb,X1))) ),
inference(forward_demodulation,[],[f741,f165]) ).
fof(f741,plain,
! [X0,X1] :
( pi_sharp_find_min(i(triple(X0,create_slb,X1)),bottom)
| ~ phi(findmin_cpq_eff(triple(X0,create_slb,X1))) ),
inference(superposition,[],[f145,f164]) ).
fof(f145,plain,
! [X2,X0,X1] :
( pi_sharp_find_min(i(triple(X0,X1,X2)),findmin_cpq_res(triple(X0,X1,X2)))
| ~ phi(findmin_cpq_eff(triple(X0,X1,X2))) ),
inference(cnf_transformation,[],[f78]) ).
fof(f78,plain,
! [X0,X1,X2] :
( pi_sharp_find_min(i(triple(X0,X1,X2)),findmin_cpq_res(triple(X0,X1,X2)))
| ~ phi(findmin_cpq_eff(triple(X0,X1,X2))) ),
inference(ennf_transformation,[],[f63]) ).
fof(f63,axiom,
! [X0,X1,X2] :
( phi(findmin_cpq_eff(triple(X0,X1,X2)))
=> pi_sharp_find_min(i(triple(X0,X1,X2)),findmin_cpq_res(triple(X0,X1,X2))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',main4_l7) ).
fof(f737,plain,
! [X2,X3,X0,X1,X4,X5] :
( bottom = findmin_pq_res(insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(X0,X1),X2),X3),X4),X5),bottom)
| ~ contains_pq(insert_pq(X0,X2),bottom) ),
inference(resolution,[],[f530,f323]) ).
fof(f736,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] : bottom = findmin_pq_res(insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(X0,bottom),X1),X2),X3),X4),X5),X6),X7),bottom),
inference(resolution,[],[f530,f409]) ).
fof(f735,plain,
! [X2,X3,X0,X1,X6,X4,X5] : bottom = findmin_pq_res(insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(X0,bottom),X1),X2),X3),X4),X5),X6),bottom),
inference(resolution,[],[f530,f357]) ).
fof(f734,plain,
! [X2,X3,X0,X1,X4,X5] : bottom = findmin_pq_res(insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(X0,bottom),X1),X2),X3),X4),X5),bottom),
inference(resolution,[],[f530,f348]) ).
fof(f733,plain,
! [X2,X3,X0,X1,X4] : bottom = findmin_pq_res(insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(X0,bottom),X1),X2),X3),X4),bottom),
inference(resolution,[],[f530,f325]) ).
fof(f530,plain,
! [X2,X3,X0,X1] :
( ~ contains_pq(X0,bottom)
| bottom = findmin_pq_res(insert_pq(insert_pq(insert_pq(X0,X1),X2),X3),bottom) ),
inference(resolution,[],[f316,f193]) ).
fof(f730,plain,
! [X2,X3,X0,X1,X4,X5] :
( bottom = removemin_pq_res(insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(X0,X1),X2),X3),X4),X5),bottom)
| ~ contains_pq(insert_pq(X0,X2),bottom) ),
inference(resolution,[],[f524,f323]) ).
fof(f729,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] : bottom = removemin_pq_res(insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(X0,bottom),X1),X2),X3),X4),X5),X6),X7),bottom),
inference(resolution,[],[f524,f409]) ).
fof(f728,plain,
! [X2,X3,X0,X1,X6,X4,X5] : bottom = removemin_pq_res(insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(X0,bottom),X1),X2),X3),X4),X5),X6),bottom),
inference(resolution,[],[f524,f357]) ).
fof(f727,plain,
! [X2,X3,X0,X1,X4,X5] : bottom = removemin_pq_res(insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(X0,bottom),X1),X2),X3),X4),X5),bottom),
inference(resolution,[],[f524,f348]) ).
fof(f726,plain,
! [X2,X3,X0,X1,X4] : bottom = removemin_pq_res(insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(X0,bottom),X1),X2),X3),X4),bottom),
inference(resolution,[],[f524,f325]) ).
fof(f524,plain,
! [X2,X3,X0,X1] :
( ~ contains_pq(X0,bottom)
| bottom = removemin_pq_res(insert_pq(insert_pq(insert_pq(X0,X1),X2),X3),bottom) ),
inference(resolution,[],[f314,f193]) ).
fof(f722,plain,
! [X2,X3,X0,X1] :
( removemin_pq_eff(insert_pq(insert_pq(insert_pq(X0,X1),X2),X3),bottom) = remove_pq(insert_pq(insert_pq(insert_pq(X0,X1),X2),X3),bottom)
| ~ contains_pq(insert_pq(X0,X2),bottom) ),
inference(resolution,[],[f461,f323]) ).
fof(f721,plain,
! [X2,X3,X0,X1,X4,X5] : removemin_pq_eff(insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(X0,bottom),X1),X2),X3),X4),X5),bottom) = remove_pq(insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(X0,bottom),X1),X2),X3),X4),X5),bottom),
inference(resolution,[],[f461,f409]) ).
fof(f720,plain,
! [X2,X3,X0,X1,X4] : removemin_pq_eff(insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(X0,bottom),X1),X2),X3),X4),bottom) = remove_pq(insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(X0,bottom),X1),X2),X3),X4),bottom),
inference(resolution,[],[f461,f357]) ).
fof(f719,plain,
! [X2,X3,X0,X1] : removemin_pq_eff(insert_pq(insert_pq(insert_pq(insert_pq(X0,bottom),X1),X2),X3),bottom) = remove_pq(insert_pq(insert_pq(insert_pq(insert_pq(X0,bottom),X1),X2),X3),bottom),
inference(resolution,[],[f461,f348]) ).
fof(f718,plain,
! [X2,X0,X1] : removemin_pq_eff(insert_pq(insert_pq(insert_pq(X0,bottom),X1),X2),bottom) = remove_pq(insert_pq(insert_pq(insert_pq(X0,bottom),X1),X2),bottom),
inference(resolution,[],[f461,f325]) ).
fof(f717,plain,
! [X2,X0,X1] :
( removemin_pq_eff(insert_pq(insert_pq(X0,X1),X2),bottom) = remove_pq(insert_pq(insert_pq(X0,X1),X2),bottom)
| ~ contains_pq(X0,bottom) ),
inference(resolution,[],[f461,f193]) ).
fof(f461,plain,
! [X0,X1] :
( ~ contains_pq(X0,bottom)
| removemin_pq_eff(insert_pq(X0,X1),bottom) = remove_pq(insert_pq(X0,X1),bottom) ),
inference(resolution,[],[f458,f193]) ).
fof(f715,plain,
! [X2,X3,X0,X1] :
( ~ contains_pq(insert_pq(insert_pq(X0,X2),X1),bottom)
| bottom = removemin_pq_res(insert_pq(insert_pq(insert_pq(X0,X1),X3),X2),bottom) ),
inference(superposition,[],[f446,f186]) ).
fof(f714,plain,
! [X2,X3,X0,X1] :
( ~ contains_pq(insert_pq(insert_pq(X0,X2),X1),bottom)
| bottom = removemin_pq_res(insert_pq(insert_pq(insert_pq(X0,X1),X3),X2),bottom) ),
inference(superposition,[],[f446,f186]) ).
fof(f712,plain,
! [X2,X3,X0,X1,X4,X5] : bottom = removemin_pq_res(insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(X0,bottom),X1),X2),X3),X4),X5),bottom),
inference(resolution,[],[f446,f409]) ).
fof(f711,plain,
! [X2,X3,X0,X1,X4] : bottom = removemin_pq_res(insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(X0,bottom),X1),X2),X3),X4),bottom),
inference(resolution,[],[f446,f357]) ).
fof(f446,plain,
! [X2,X0,X1] :
( ~ contains_pq(insert_pq(X0,X1),bottom)
| bottom = removemin_pq_res(insert_pq(insert_pq(X0,X2),X1),bottom) ),
inference(resolution,[],[f323,f301]) ).
fof(f706,plain,
! [X2,X3,X0,X1] :
( ~ contains_pq(insert_pq(insert_pq(X0,X2),X1),bottom)
| bottom = findmin_pq_res(insert_pq(insert_pq(insert_pq(X0,X1),X3),X2),bottom) ),
inference(superposition,[],[f445,f186]) ).
fof(f705,plain,
! [X2,X3,X0,X1] :
( ~ contains_pq(insert_pq(insert_pq(X0,X2),X1),bottom)
| bottom = findmin_pq_res(insert_pq(insert_pq(insert_pq(X0,X1),X3),X2),bottom) ),
inference(superposition,[],[f445,f186]) ).
fof(f703,plain,
! [X2,X3,X0,X1,X4,X5] : bottom = findmin_pq_res(insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(X0,bottom),X1),X2),X3),X4),X5),bottom),
inference(resolution,[],[f445,f409]) ).
fof(f702,plain,
! [X2,X3,X0,X1,X4] : bottom = findmin_pq_res(insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(X0,bottom),X1),X2),X3),X4),bottom),
inference(resolution,[],[f445,f357]) ).
fof(f445,plain,
! [X2,X0,X1] :
( ~ contains_pq(insert_pq(X0,X1),bottom)
| bottom = findmin_pq_res(insert_pq(insert_pq(X0,X2),X1),bottom) ),
inference(resolution,[],[f323,f308]) ).
fof(f693,plain,
! [X2,X3,X0,X1] :
( issmallestelement_pq(i(X0),X1)
| less_than(sK3(X0),X2)
| ~ pi_find_min(X0)
| less_than(X2,X3)
| less_than(X3,X1) ),
inference(resolution,[],[f674,f253]) ).
fof(f692,plain,
! [X2,X3,X0,X1,X4] :
( issmallestelement_pq(i(X0),X1)
| less_than(sK3(X0),X2)
| ~ pi_find_min(X0)
| less_than(X3,X1)
| less_than(X2,X4)
| less_than(X4,X3) ),
inference(resolution,[],[f674,f269]) ).
fof(f691,plain,
! [X2,X3,X0,X1] :
( issmallestelement_pq(i(X0),sK5(X1,X2))
| less_than(sK3(X0),X3)
| ~ pi_find_min(X0)
| less_than(X3,X2)
| issmallestelement_pq(X1,X2) ),
inference(resolution,[],[f674,f255]) ).
fof(f690,plain,
! [X2,X3,X0,X1,X4] :
( issmallestelement_pq(i(X0),sK5(X1,X2))
| less_than(sK3(X0),X3)
| ~ pi_find_min(X0)
| issmallestelement_pq(X1,X2)
| less_than(X3,X4)
| less_than(X4,X2) ),
inference(resolution,[],[f674,f389]) ).
fof(f685,plain,
! [X2,X3,X0,X1,X4] :
( issmallestelement_pq(i(X0),X1)
| less_than(X2,X1)
| ~ pi_find_min(X0)
| less_than(X3,X2)
| less_than(sK3(X0),X4)
| less_than(X4,X3) ),
inference(resolution,[],[f674,f269]) ).
fof(f684,plain,
! [X2,X3,X0,X1] :
( issmallestelement_pq(i(X0),X1)
| less_than(sK5(X2,X3),X1)
| ~ pi_find_min(X0)
| less_than(sK3(X0),X3)
| issmallestelement_pq(X2,X3) ),
inference(resolution,[],[f674,f255]) ).
fof(f683,plain,
! [X2,X3,X0,X1,X4] :
( issmallestelement_pq(i(X0),X1)
| less_than(sK5(X2,X3),X1)
| ~ pi_find_min(X0)
| issmallestelement_pq(X2,X3)
| less_than(sK3(X0),X4)
| less_than(X4,X3) ),
inference(resolution,[],[f674,f389]) ).
fof(f674,plain,
! [X2,X0,X1] :
( issmallestelement_pq(i(X0),X1)
| less_than(sK3(X0),X2)
| less_than(X2,X1)
| ~ pi_find_min(X0) ),
inference(duplicate_literal_removal,[],[f657]) ).
fof(f657,plain,
! [X2,X0,X1] :
( issmallestelement_pq(i(X0),X1)
| less_than(sK3(X0),X2)
| less_than(X2,X1)
| ~ pi_find_min(X0)
| issmallestelement_pq(i(X0),X1) ),
inference(resolution,[],[f389,f289]) ).
fof(f675,plain,
( findmin_cpq_res(triple(sK0,sK1,sK2)) != sK3(triple(sK0,sK1,sK2))
| ~ pi_sharp_find_min(i(triple(sK0,sK1,sK2)),sK3(triple(sK0,sK1,sK2))) ),
inference(superposition,[],[f144,f312]) ).
fof(f673,plain,
! [X2,X3,X0,X1,X4] :
( issmallestelement_pq(X0,X1)
| less_than(sK5(X2,X3),X4)
| less_than(X4,X1)
| less_than(sK5(X0,X1),X3)
| issmallestelement_pq(X2,X3) ),
inference(resolution,[],[f389,f266]) ).
fof(f672,plain,
! [X2,X3,X0,X1,X4,X5] :
( issmallestelement_pq(X0,X1)
| less_than(sK5(X2,X3),X4)
| less_than(X4,X1)
| less_than(sK5(X0,X1),X5)
| less_than(X5,X3)
| issmallestelement_pq(X2,X3) ),
inference(resolution,[],[f389,f380]) ).
fof(f671,plain,
! [X2,X3,X0,X1] :
( issmallestelement_pq(X0,X1)
| less_than(sK5(X2,sK5(X0,X1)),X3)
| less_than(X3,X1)
| issmallestelement_pq(X2,sK5(X0,X1)) ),
inference(resolution,[],[f389,f234]) ).
fof(f670,plain,
! [X2,X3,X0,X1,X4,X5] :
( issmallestelement_pq(X0,X1)
| less_than(X2,X3)
| less_than(X3,X1)
| less_than(sK5(X4,X5),X2)
| less_than(sK5(X0,X1),X5)
| issmallestelement_pq(X4,X5) ),
inference(resolution,[],[f389,f380]) ).
fof(f669,plain,
! [X2,X3,X0,X1,X4,X5] :
( issmallestelement_pq(X0,X1)
| less_than(X2,X3)
| less_than(X3,X1)
| less_than(sK5(X4,sK5(X0,X1)),X5)
| less_than(X5,X2)
| issmallestelement_pq(X4,sK5(X0,X1)) ),
inference(resolution,[],[f389,f380]) ).
fof(f668,plain,
! [X2,X3,X0,X1,X4,X5] :
( issmallestelement_pq(X0,X1)
| less_than(X2,X3)
| less_than(X3,X1)
| less_than(sK5(X0,X1),X4)
| less_than(X4,X5)
| less_than(X5,X2) ),
inference(resolution,[],[f389,f268]) ).
fof(f667,plain,
! [X2,X3,X0,X1,X4,X5] :
( issmallestelement_pq(X0,X1)
| less_than(X2,X3)
| less_than(X3,X1)
| less_than(X4,X5)
| less_than(X5,X2)
| less_than(sK5(X0,X1),X4) ),
inference(resolution,[],[f389,f268]) ).
fof(f666,plain,
! [X2,X3,X0,X1,X4,X5] :
( issmallestelement_pq(X0,X1)
| less_than(X2,X3)
| less_than(X3,X1)
| less_than(X4,X2)
| less_than(sK5(X0,X1),X5)
| less_than(X5,X4) ),
inference(resolution,[],[f389,f268]) ).
fof(f665,plain,
! [X2,X3,X0,X1,X4,X5] :
( issmallestelement_pq(X0,X1)
| less_than(X2,X3)
| less_than(X3,X1)
| less_than(sK5(X0,X1),X4)
| less_than(X4,X5)
| less_than(X5,X2) ),
inference(resolution,[],[f389,f268]) ).
fof(f664,plain,
! [X2,X3,X0,X1,X4] :
( issmallestelement_pq(X0,X1)
| less_than(X2,X3)
| less_than(X3,X1)
| less_than(sK5(X0,X1),X4)
| less_than(X4,X2) ),
inference(resolution,[],[f389,f264]) ).
fof(f663,plain,
! [X2,X3,X0,X1,X4] :
( issmallestelement_pq(X0,X1)
| less_than(X2,X3)
| less_than(X3,X1)
| less_than(X4,X2)
| less_than(sK5(X0,X1),X4) ),
inference(resolution,[],[f389,f264]) ).
fof(f662,plain,
! [X2,X3,X0,X1,X4] :
( issmallestelement_pq(X0,X1)
| less_than(X2,X3)
| less_than(X3,X1)
| less_than(sK5(X0,X1),X4)
| less_than(X4,X2) ),
inference(resolution,[],[f389,f264]) ).
fof(f389,plain,
! [X2,X3,X0,X1] :
( ~ less_than(X3,sK5(X2,X1))
| issmallestelement_pq(X2,X1)
| less_than(X3,X0)
| less_than(X0,X1) ),
inference(resolution,[],[f266,f191]) ).
fof(f652,plain,
! [X2,X3,X0,X1,X4] :
( less_than(sK5(X0,X1),X2)
| less_than(X2,X3)
| issmallestelement_pq(X0,X1)
| less_than(X4,X1)
| ~ less_than(X4,X3) ),
inference(resolution,[],[f380,f191]) ).
fof(f651,plain,
! [X2,X3,X0,X1,X4] :
( less_than(sK5(X0,X1),X2)
| less_than(X2,X3)
| issmallestelement_pq(X0,X1)
| less_than(X3,X4)
| less_than(X4,X1) ),
inference(resolution,[],[f380,f253]) ).
fof(f650,plain,
! [X2,X3,X0,X1,X4,X5] :
( less_than(sK5(X0,X1),X2)
| less_than(X2,X3)
| issmallestelement_pq(X0,X1)
| less_than(X4,X1)
| less_than(X3,X5)
| less_than(X5,X4) ),
inference(resolution,[],[f380,f269]) ).
fof(f649,plain,
! [X2,X3,X0,X1,X4] :
( less_than(sK5(X0,sK5(X1,X2)),X3)
| less_than(X3,X4)
| issmallestelement_pq(X0,sK5(X1,X2))
| less_than(X4,X2)
| issmallestelement_pq(X1,X2) ),
inference(resolution,[],[f380,f255]) ).
fof(f648,plain,
! [X2,X3,X0,X1] :
( less_than(sK5(X0,sK5(X1,X2)),X3)
| less_than(X3,X2)
| issmallestelement_pq(X0,sK5(X1,X2))
| issmallestelement_pq(X1,X2) ),
inference(resolution,[],[f380,f178]) ).
fof(f646,plain,
! [X2,X3,X0,X1,X4] :
( less_than(sK5(X0,X1),X2)
| less_than(X3,X1)
| issmallestelement_pq(X0,X1)
| less_than(X4,X3)
| ~ less_than(X4,X2) ),
inference(resolution,[],[f380,f191]) ).
fof(f645,plain,
! [X2,X3,X0,X1,X4] :
( less_than(sK5(X0,X1),X2)
| less_than(X3,X1)
| issmallestelement_pq(X0,X1)
| less_than(X2,X4)
| less_than(X4,X3) ),
inference(resolution,[],[f380,f253]) ).
fof(f644,plain,
! [X2,X3,X0,X1,X4,X5] :
( less_than(sK5(X0,X1),X2)
| less_than(X3,X1)
| issmallestelement_pq(X0,X1)
| less_than(X4,X3)
| less_than(X2,X5)
| less_than(X5,X4) ),
inference(resolution,[],[f380,f269]) ).
fof(f643,plain,
! [X2,X3,X0,X1,X4] :
( less_than(sK5(X0,X1),X2)
| less_than(sK5(X3,X4),X1)
| issmallestelement_pq(X0,X1)
| less_than(X2,X4)
| issmallestelement_pq(X3,X4) ),
inference(resolution,[],[f380,f255]) ).
fof(f642,plain,
! [X2,X3,X0,X1] :
( less_than(sK5(X0,X1),X2)
| less_than(sK5(X3,X2),X1)
| issmallestelement_pq(X0,X1)
| issmallestelement_pq(X3,X2) ),
inference(resolution,[],[f380,f178]) ).
fof(f640,plain,
! [X2,X3,X0,X1,X4] :
( less_than(X0,X1)
| less_than(X1,X2)
| issmallestelement_pq(X3,X2)
| less_than(X4,X0)
| ~ less_than(X4,sK5(X3,X2)) ),
inference(resolution,[],[f380,f191]) ).
fof(f639,plain,
! [X2,X3,X0,X1,X4] :
( less_than(X0,X1)
| less_than(X1,X2)
| issmallestelement_pq(X3,X2)
| less_than(sK5(X3,X2),X4)
| less_than(X4,X0) ),
inference(resolution,[],[f380,f253]) ).
fof(f638,plain,
! [X2,X3,X0,X1,X4,X5] :
( less_than(X0,X1)
| less_than(X1,X2)
| issmallestelement_pq(X3,X2)
| less_than(X4,X0)
| less_than(sK5(X3,X2),X5)
| less_than(X5,X4) ),
inference(resolution,[],[f380,f269]) ).
fof(f637,plain,
! [X2,X3,X0,X1,X4] :
( less_than(sK5(X0,X1),X2)
| less_than(X2,X3)
| issmallestelement_pq(X4,X3)
| less_than(sK5(X4,X3),X1)
| issmallestelement_pq(X0,X1) ),
inference(resolution,[],[f380,f255]) ).
fof(f636,plain,
! [X2,X3,X0,X1] :
( less_than(sK5(X0,sK5(X1,X2)),X3)
| less_than(X3,X2)
| issmallestelement_pq(X1,X2)
| issmallestelement_pq(X0,sK5(X1,X2)) ),
inference(resolution,[],[f380,f178]) ).
fof(f380,plain,
! [X2,X3,X0,X1] :
( less_than(sK5(X2,X1),X3)
| less_than(X3,X0)
| less_than(X0,X1)
| issmallestelement_pq(X2,X1) ),
inference(resolution,[],[f255,f264]) ).
fof(f312,plain,
sK3(triple(sK0,sK1,sK2)) = findmin_pq_res(i(triple(sK0,sK1,sK2)),sK3(triple(sK0,sK1,sK2))),
inference(resolution,[],[f309,f142]) ).
fof(f305,plain,
sK3(triple(sK0,sK1,sK2)) = removemin_pq_res(i(triple(sK0,sK1,sK2)),sK3(triple(sK0,sK1,sK2))),
inference(resolution,[],[f302,f142]) ).
fof(f298,plain,
i(triple(sK0,sK1,sK2)) = findmin_pq_eff(i(triple(sK0,sK1,sK2)),sK3(triple(sK0,sK1,sK2))),
inference(resolution,[],[f295,f142]) ).
fof(f632,plain,
! [X2,X0,X1] :
( less_than(sK3(X0),X1)
| ~ pi_find_min(X0)
| less_than(X1,sK5(i(X0),X2))
| issmallestelement_pq(i(X0),X2) ),
inference(resolution,[],[f565,f177]) ).
fof(f565,plain,
! [X2,X0,X1] :
( ~ contains_pq(i(X0),X2)
| less_than(sK3(X0),X1)
| ~ pi_find_min(X0)
| less_than(X1,X2) ),
inference(resolution,[],[f559,f176]) ).
fof(f217,plain,
! [X2,X3,X0,X1,X4] :
( ~ pair_in_list(insert_slb(X0,pair(X1,X3)),X2,X4)
| pair_in_list(X0,X2,X4)
| X3 = X4 ),
inference(cnf_transformation,[],[f141]) ).
fof(f141,plain,
! [X0,X1,X2,X3,X4] :
( ( pair_in_list(insert_slb(X0,pair(X1,X3)),X2,X4)
| ( ( X3 != X4
| X1 != X2 )
& ~ pair_in_list(X0,X2,X4) ) )
& ( ( X3 = X4
& X1 = X2 )
| pair_in_list(X0,X2,X4)
| ~ pair_in_list(insert_slb(X0,pair(X1,X3)),X2,X4) ) ),
inference(flattening,[],[f140]) ).
fof(f140,plain,
! [X0,X1,X2,X3,X4] :
( ( pair_in_list(insert_slb(X0,pair(X1,X3)),X2,X4)
| ( ( X3 != X4
| X1 != X2 )
& ~ pair_in_list(X0,X2,X4) ) )
& ( ( X3 = X4
& X1 = X2 )
| pair_in_list(X0,X2,X4)
| ~ pair_in_list(insert_slb(X0,pair(X1,X3)),X2,X4) ) ),
inference(nnf_transformation,[],[f23]) ).
fof(f23,axiom,
! [X0,X1,X2,X3,X4] :
( pair_in_list(insert_slb(X0,pair(X1,X3)),X2,X4)
<=> ( ( X3 = X4
& X1 = X2 )
| pair_in_list(X0,X2,X4) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax23) ).
fof(f620,plain,
! [X2,X3,X0,X1,X6,X4,X5] : contains_pq(insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(X0,X2),X1),X3),X4),X5),X6),X2),
inference(superposition,[],[f409,f186]) ).
fof(f619,plain,
! [X2,X3,X0,X1,X6,X4,X5] : contains_pq(insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(X0,X2),X1),X3),X4),X5),X6),X2),
inference(superposition,[],[f409,f186]) ).
fof(f618,plain,
! [X2,X3,X0,X1,X4] : removemin_pq_eff(insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(X0,bottom),X1),X2),X3),X4),bottom) = remove_pq(insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(X0,bottom),X1),X2),X3),X4),bottom),
inference(resolution,[],[f409,f458]) ).
fof(f617,plain,
! [X2,X3,X0,X1,X6,X4,X5] : bottom = findmin_pq_res(insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(X0,bottom),X1),X2),X3),X4),X5),X6),bottom),
inference(resolution,[],[f409,f316]) ).
fof(f616,plain,
! [X2,X3,X0,X1,X6,X4,X5] : bottom = removemin_pq_res(insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(X0,bottom),X1),X2),X3),X4),X5),X6),bottom),
inference(resolution,[],[f409,f314]) ).
fof(f615,plain,
! [X2,X3,X0,X1,X4,X5] : bottom = findmin_pq_res(insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(X0,bottom),X1),X2),X3),X4),X5),bottom),
inference(resolution,[],[f409,f311]) ).
fof(f614,plain,
! [X2,X3,X0,X1,X4] : bottom = findmin_pq_res(insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(X0,bottom),X1),X2),X3),X4),bottom),
inference(resolution,[],[f409,f308]) ).
fof(f613,plain,
! [X2,X3,X0,X1,X4,X5] : bottom = removemin_pq_res(insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(X0,bottom),X1),X2),X3),X4),X5),bottom),
inference(resolution,[],[f409,f304]) ).
fof(f612,plain,
! [X2,X3,X0,X1,X4] : bottom = removemin_pq_res(insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(X0,bottom),X1),X2),X3),X4),bottom),
inference(resolution,[],[f409,f301]) ).
fof(f611,plain,
! [X2,X3,X0,X1,X4,X5] : insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(X0,bottom),X1),X2),X3),X4),X5) = findmin_pq_eff(insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(X0,bottom),X1),X2),X3),X4),X5),bottom),
inference(resolution,[],[f409,f297]) ).
fof(f610,plain,
! [X2,X3,X0,X1,X4] : insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(X0,bottom),X1),X2),X3),X4) = findmin_pq_eff(insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(X0,bottom),X1),X2),X3),X4),bottom),
inference(resolution,[],[f409,f294]) ).
fof(f409,plain,
! [X2,X3,X0,X1,X4,X5] : contains_pq(insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(X0,X2),X1),X3),X4),X5),X2),
inference(superposition,[],[f357,f186]) ).
fof(f601,plain,
! [X2,X3,X0,X1,X4] : bottom = removemin_pq_res(insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(X0,bottom),X1),X2),X3),X4),bottom),
inference(superposition,[],[f353,f186]) ).
fof(f600,plain,
! [X2,X3,X0,X1,X4] : bottom = removemin_pq_res(insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(X0,bottom),X1),X2),X3),X4),bottom),
inference(superposition,[],[f353,f186]) ).
fof(f353,plain,
! [X2,X3,X0,X1] : bottom = removemin_pq_res(insert_pq(insert_pq(insert_pq(insert_pq(X0,bottom),X1),X2),X3),bottom),
inference(resolution,[],[f348,f304]) ).
fof(f216,plain,
! [X2,X3,X0,X1,X4] :
( ~ pair_in_list(insert_slb(X0,pair(X1,X3)),X2,X4)
| pair_in_list(X0,X2,X4)
| X1 = X2 ),
inference(cnf_transformation,[],[f141]) ).
fof(f591,plain,
! [X2,X3,X0,X1,X4] : bottom = findmin_pq_res(insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(X0,bottom),X1),X2),X3),X4),bottom),
inference(superposition,[],[f352,f186]) ).
fof(f590,plain,
! [X2,X3,X0,X1,X4] : bottom = findmin_pq_res(insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(X0,bottom),X1),X2),X3),X4),bottom),
inference(superposition,[],[f352,f186]) ).
fof(f352,plain,
! [X2,X3,X0,X1] : bottom = findmin_pq_res(insert_pq(insert_pq(insert_pq(insert_pq(X0,bottom),X1),X2),X3),bottom),
inference(resolution,[],[f348,f311]) ).
fof(f585,plain,
! [X2,X0,X1] : insert_pq(insert_pq(insert_pq(X0,bottom),X1),X2) = findmin_pq_eff(insert_pq(insert_pq(insert_pq(X0,bottom),X1),X2),bottom),
inference(superposition,[],[f347,f186]) ).
fof(f584,plain,
! [X2,X0,X1] : insert_pq(insert_pq(insert_pq(X0,bottom),X1),X2) = findmin_pq_eff(insert_pq(insert_pq(insert_pq(X0,bottom),X1),X2),bottom),
inference(superposition,[],[f347,f186]) ).
fof(f347,plain,
! [X0,X1] : insert_pq(insert_pq(X0,bottom),X1) = findmin_pq_eff(insert_pq(insert_pq(X0,bottom),X1),bottom),
inference(resolution,[],[f325,f294]) ).
fof(f569,plain,
! [X0,X1] : triple(X0,create_slb,bad) = removemin_cpq_eff(triple(X0,create_slb,X1)),
inference(superposition,[],[f567,f287]) ).
fof(f570,plain,
! [X0,X1] : triple(X0,create_slb,bad) = removemin_cpq_eff(triple(X0,create_slb,X1)),
inference(superposition,[],[f287,f567]) ).
fof(f567,plain,
! [X2,X0,X1] : triple(X0,create_slb,bad) = remove_cpq(triple(X0,create_slb,X1),X2),
inference(resolution,[],[f197,f149]) ).
fof(f568,plain,
! [X2,X3,X0,X1,X4,X5] :
( triple(X0,insert_slb(X1,pair(X2,X3)),bad) = remove_cpq(triple(X0,insert_slb(X1,pair(X2,X3)),X4),X5)
| contains_slb(X1,X5)
| X2 = X5 ),
inference(resolution,[],[f197,f209]) ).
fof(f197,plain,
! [X2,X3,X0,X1] :
( contains_slb(X1,X3)
| triple(X0,X1,bad) = remove_cpq(triple(X0,X1,X2),X3) ),
inference(cnf_transformation,[],[f101]) ).
fof(f101,plain,
! [X0,X1,X2,X3] :
( triple(X0,X1,bad) = remove_cpq(triple(X0,X1,X2),X3)
| contains_slb(X1,X3) ),
inference(ennf_transformation,[],[f43]) ).
fof(f43,axiom,
! [X0,X1,X2,X3] :
( ~ contains_slb(X1,X3)
=> triple(X0,X1,bad) = remove_cpq(triple(X0,X1,X2),X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax43) ).
fof(f559,plain,
! [X0,X1] :
( issmallestelement_pq(i(X0),X1)
| ~ pi_find_min(X0)
| less_than(sK3(X0),X1) ),
inference(duplicate_literal_removal,[],[f554]) ).
fof(f554,plain,
! [X0,X1] :
( ~ pi_find_min(X0)
| issmallestelement_pq(i(X0),X1)
| less_than(sK3(X0),X1)
| issmallestelement_pq(i(X0),X1) ),
inference(resolution,[],[f289,f255]) ).
fof(f555,plain,
! [X2,X3,X0,X1] :
( ~ pi_find_min(X0)
| issmallestelement_pq(i(X0),X1)
| less_than(X2,sK5(i(X0),X1))
| less_than(sK3(X0),X3)
| less_than(X3,X2) ),
inference(resolution,[],[f289,f269]) ).
fof(f289,plain,
! [X0,X1] :
( less_than(sK3(X0),sK5(i(X0),X1))
| ~ pi_find_min(X0)
| issmallestelement_pq(i(X0),X1) ),
inference(resolution,[],[f246,f177]) ).
fof(f552,plain,
removemin_pq_eff(i(triple(sK0,sK1,sK2)),sK3(triple(sK0,sK1,sK2))) = remove_pq(i(triple(sK0,sK1,sK2)),sK3(triple(sK0,sK1,sK2))),
inference(resolution,[],[f459,f142]) ).
fof(f459,plain,
! [X0] :
( ~ pi_find_min(X0)
| removemin_pq_eff(i(X0),sK3(X0)) = remove_pq(i(X0),sK3(X0)) ),
inference(subsumption_resolution,[],[f456,f226]) ).
fof(f456,plain,
! [X0] :
( removemin_pq_eff(i(X0),sK3(X0)) = remove_pq(i(X0),sK3(X0))
| ~ contains_pq(i(X0),sK3(X0))
| ~ pi_find_min(X0) ),
inference(resolution,[],[f174,f225]) ).
fof(f551,plain,
! [X2,X3,X0,X1,X4] :
( ~ contains_pq(insert_pq(insert_pq(X0,X2),X1),X3)
| contains_pq(insert_pq(insert_pq(X0,X1),X4),X3)
| X2 = X3 ),
inference(superposition,[],[f442,f186]) ).
fof(f550,plain,
! [X2,X3,X0,X1,X4] :
( ~ contains_pq(insert_pq(insert_pq(X0,X2),X1),X3)
| contains_pq(insert_pq(insert_pq(X0,X1),X4),X3)
| X2 = X3 ),
inference(superposition,[],[f442,f186]) ).
fof(f549,plain,
! [X2,X3,X0,X1] :
( contains_pq(insert_pq(X0,X1),sK5(insert_pq(X0,X2),X3))
| sK5(insert_pq(X0,X2),X3) = X2
| issmallestelement_pq(insert_pq(X0,X2),X3) ),
inference(resolution,[],[f442,f177]) ).
fof(f442,plain,
! [X2,X3,X0,X1] :
( ~ contains_pq(insert_pq(X0,X1),X2)
| contains_pq(insert_pq(X0,X3),X2)
| X1 = X2 ),
inference(resolution,[],[f323,f192]) ).
fof(f539,plain,
! [X2,X0,X1] :
( ~ succ_cpq(X0,triple(X1,create_slb,bad))
| ~ check_cpq(removemin_cpq_eff(triple(X1,create_slb,X2)))
| ~ ok(removemin_cpq_eff(triple(X1,create_slb,X2)))
| phi(X0) ),
inference(resolution,[],[f424,f160]) ).
fof(f424,plain,
! [X2,X0,X1] :
( succ_cpq(X2,removemin_cpq_eff(triple(X0,create_slb,X1)))
| ~ succ_cpq(X2,triple(X0,create_slb,bad)) ),
inference(superposition,[],[f188,f287]) ).
fof(f537,plain,
! [X2,X0,X1] :
( ~ ok(removemin_cpq_eff(triple(X0,create_slb,X1)))
| ~ check_cpq(remove_cpq(triple(X0,create_slb,bad),bottom))
| phi(X2)
| ~ succ_cpq(X2,triple(X0,create_slb,bad)) ),
inference(superposition,[],[f240,f287]) ).
fof(f240,plain,
! [X2,X0,X1] :
( ~ ok(remove_cpq(X0,X1))
| ~ check_cpq(remove_cpq(X0,X1))
| phi(X2)
| ~ succ_cpq(X2,X0) ),
inference(resolution,[],[f160,f188]) ).
fof(f239,plain,
! [X2,X0,X1] :
( ~ ok(insert_cpq(X0,X1))
| ~ check_cpq(insert_cpq(X0,X1))
| phi(X2)
| ~ succ_cpq(X2,X0) ),
inference(resolution,[],[f160,f187]) ).
fof(f534,plain,
! [X2,X3,X0,X1,X4] :
( bottom = findmin_pq_res(insert_pq(insert_pq(insert_pq(insert_pq(X0,X1),X2),X3),X4),bottom)
| ~ contains_pq(insert_pq(X0,X2),bottom) ),
inference(resolution,[],[f316,f323]) ).
fof(f533,plain,
! [X2,X3,X0,X1,X4,X5] : bottom = findmin_pq_res(insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(X0,bottom),X1),X2),X3),X4),X5),bottom),
inference(resolution,[],[f316,f357]) ).
fof(f532,plain,
! [X2,X3,X0,X1,X4] : bottom = findmin_pq_res(insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(X0,bottom),X1),X2),X3),X4),bottom),
inference(resolution,[],[f316,f348]) ).
fof(f531,plain,
! [X2,X3,X0,X1] : bottom = findmin_pq_res(insert_pq(insert_pq(insert_pq(insert_pq(X0,bottom),X1),X2),X3),bottom),
inference(resolution,[],[f316,f325]) ).
fof(f316,plain,
! [X2,X0,X1] :
( ~ contains_pq(X0,bottom)
| bottom = findmin_pq_res(insert_pq(insert_pq(X0,X1),X2),bottom) ),
inference(resolution,[],[f311,f193]) ).
fof(f528,plain,
! [X2,X3,X0,X1,X4] :
( bottom = removemin_pq_res(insert_pq(insert_pq(insert_pq(insert_pq(X0,X1),X2),X3),X4),bottom)
| ~ contains_pq(insert_pq(X0,X2),bottom) ),
inference(resolution,[],[f314,f323]) ).
fof(f527,plain,
! [X2,X3,X0,X1,X4,X5] : bottom = removemin_pq_res(insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(X0,bottom),X1),X2),X3),X4),X5),bottom),
inference(resolution,[],[f314,f357]) ).
fof(f526,plain,
! [X2,X3,X0,X1,X4] : bottom = removemin_pq_res(insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(X0,bottom),X1),X2),X3),X4),bottom),
inference(resolution,[],[f314,f348]) ).
fof(f525,plain,
! [X2,X3,X0,X1] : bottom = removemin_pq_res(insert_pq(insert_pq(insert_pq(insert_pq(X0,bottom),X1),X2),X3),bottom),
inference(resolution,[],[f314,f325]) ).
fof(f314,plain,
! [X2,X0,X1] :
( ~ contains_pq(X0,bottom)
| bottom = removemin_pq_res(insert_pq(insert_pq(X0,X1),X2),bottom) ),
inference(resolution,[],[f304,f193]) ).
fof(f522,plain,
! [X2,X3,X0,X1] :
( insert_pq(insert_pq(insert_pq(X0,X1),X2),X3) = findmin_pq_eff(insert_pq(insert_pq(insert_pq(X0,X1),X2),X3),bottom)
| ~ contains_pq(insert_pq(X0,X2),bottom) ),
inference(resolution,[],[f297,f323]) ).
fof(f521,plain,
! [X2,X3,X0,X1,X4] : insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(X0,bottom),X1),X2),X3),X4) = findmin_pq_eff(insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(X0,bottom),X1),X2),X3),X4),bottom),
inference(resolution,[],[f297,f357]) ).
fof(f520,plain,
! [X2,X3,X0,X1] : insert_pq(insert_pq(insert_pq(insert_pq(X0,bottom),X1),X2),X3) = findmin_pq_eff(insert_pq(insert_pq(insert_pq(insert_pq(X0,bottom),X1),X2),X3),bottom),
inference(resolution,[],[f297,f348]) ).
fof(f519,plain,
! [X2,X0,X1] : insert_pq(insert_pq(insert_pq(X0,bottom),X1),X2) = findmin_pq_eff(insert_pq(insert_pq(insert_pq(X0,bottom),X1),X2),bottom),
inference(resolution,[],[f297,f325]) ).
fof(f517,plain,
! [X0,X1] : insert_pq(insert_pq(X0,bottom),X1) = findmin_pq_eff(insert_pq(insert_pq(X0,bottom),X1),bottom),
inference(resolution,[],[f297,f220]) ).
fof(f297,plain,
! [X0,X1] :
( ~ contains_pq(X0,bottom)
| insert_pq(X0,X1) = findmin_pq_eff(insert_pq(X0,X1),bottom) ),
inference(resolution,[],[f294,f193]) ).
fof(f209,plain,
! [X2,X3,X0,X1] :
( ~ contains_slb(insert_slb(X0,pair(X1,X3)),X2)
| contains_slb(X0,X2)
| X1 = X2 ),
inference(cnf_transformation,[],[f138]) ).
fof(f138,plain,
! [X0,X1,X2,X3] :
( ( contains_slb(insert_slb(X0,pair(X1,X3)),X2)
| ( X1 != X2
& ~ contains_slb(X0,X2) ) )
& ( X1 = X2
| contains_slb(X0,X2)
| ~ contains_slb(insert_slb(X0,pair(X1,X3)),X2) ) ),
inference(flattening,[],[f137]) ).
fof(f137,plain,
! [X0,X1,X2,X3] :
( ( contains_slb(insert_slb(X0,pair(X1,X3)),X2)
| ( X1 != X2
& ~ contains_slb(X0,X2) ) )
& ( X1 = X2
| contains_slb(X0,X2)
| ~ contains_slb(insert_slb(X0,pair(X1,X3)),X2) ) ),
inference(nnf_transformation,[],[f21]) ).
fof(f21,axiom,
! [X0,X1,X2,X3] :
( contains_slb(insert_slb(X0,pair(X1,X3)),X2)
<=> ( X1 = X2
| contains_slb(X0,X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax21) ).
fof(f514,plain,
! [X2,X3,X0,X1,X4] :
( less_than(X0,X1)
| less_than(sK5(X2,X3),X4)
| less_than(X4,X0)
| less_than(X1,X3)
| issmallestelement_pq(X2,X3) ),
inference(resolution,[],[f269,f266]) ).
fof(f513,plain,
! [X2,X3,X0,X1] :
( less_than(X0,X1)
| less_than(sK5(X2,X1),X3)
| less_than(X3,X0)
| issmallestelement_pq(X2,X1) ),
inference(resolution,[],[f269,f234]) ).
fof(f512,plain,
! [X2,X3,X0,X1,X4,X5] :
( less_than(X0,X1)
| less_than(X2,X3)
| less_than(X3,X0)
| less_than(X1,X4)
| less_than(X4,X5)
| less_than(X5,X2) ),
inference(resolution,[],[f269,f268]) ).
fof(f511,plain,
! [X2,X3,X0,X1,X4,X5] :
( less_than(X0,X1)
| less_than(X2,X3)
| less_than(X3,X0)
| less_than(X4,X5)
| less_than(X5,X2)
| less_than(X1,X4) ),
inference(resolution,[],[f269,f268]) ).
fof(f510,plain,
! [X2,X3,X0,X1,X4,X5] :
( less_than(X0,X1)
| less_than(X2,X3)
| less_than(X3,X0)
| less_than(X4,X2)
| less_than(X1,X5)
| less_than(X5,X4) ),
inference(resolution,[],[f269,f268]) ).
fof(f509,plain,
! [X2,X3,X0,X1,X4,X5] :
( less_than(X0,X1)
| less_than(X2,X3)
| less_than(X3,X0)
| less_than(X1,X4)
| less_than(X4,X5)
| less_than(X5,X2) ),
inference(resolution,[],[f269,f268]) ).
fof(f508,plain,
! [X2,X3,X0,X1,X4] :
( less_than(X0,X1)
| less_than(X2,X3)
| less_than(X3,X0)
| less_than(X1,X4)
| less_than(X4,X2) ),
inference(resolution,[],[f269,f264]) ).
fof(f507,plain,
! [X2,X3,X0,X1,X4] :
( less_than(X0,X1)
| less_than(X2,X3)
| less_than(X3,X0)
| less_than(X4,X2)
| less_than(X1,X4) ),
inference(resolution,[],[f269,f264]) ).
fof(f506,plain,
! [X2,X3,X0,X1,X4] :
( less_than(X0,X1)
| less_than(X2,X3)
| less_than(X3,X0)
| less_than(X1,X4)
| less_than(X4,X2) ),
inference(resolution,[],[f269,f264]) ).
fof(f269,plain,
! [X2,X3,X0,X1] :
( ~ less_than(X3,X2)
| less_than(X1,X2)
| less_than(X3,X0)
| less_than(X0,X1) ),
inference(resolution,[],[f264,f191]) ).
fof(f492,plain,
! [X2,X3,X0,X1,X4] :
( less_than(X0,X1)
| less_than(X1,X2)
| less_than(X2,X3)
| less_than(X4,X0)
| ~ less_than(X4,X3) ),
inference(resolution,[],[f268,f191]) ).
fof(f491,plain,
! [X2,X3,X0,X1,X4] :
( less_than(X0,X1)
| less_than(X1,X2)
| less_than(X2,X3)
| less_than(X3,X4)
| less_than(X4,X0) ),
inference(resolution,[],[f268,f253]) ).
fof(f490,plain,
! [X2,X3,X0,X1,X4] :
( less_than(sK5(X0,X1),X2)
| less_than(X2,X3)
| less_than(X3,X4)
| less_than(X4,X1)
| issmallestelement_pq(X0,X1) ),
inference(resolution,[],[f268,f255]) ).
fof(f489,plain,
! [X2,X3,X0,X1] :
( less_than(sK5(X0,X1),X2)
| less_than(X2,X3)
| less_than(X3,X1)
| issmallestelement_pq(X0,X1) ),
inference(resolution,[],[f268,f178]) ).
fof(f487,plain,
! [X2,X3,X0,X1,X4] :
( less_than(X0,X1)
| less_than(X1,X2)
| less_than(X3,X0)
| less_than(X4,X3)
| ~ less_than(X4,X2) ),
inference(resolution,[],[f268,f191]) ).
fof(f486,plain,
! [X2,X3,X0,X1,X4] :
( less_than(X0,X1)
| less_than(X1,X2)
| less_than(X3,X0)
| less_than(X2,X4)
| less_than(X4,X3) ),
inference(resolution,[],[f268,f253]) ).
fof(f485,plain,
! [X2,X3,X0,X1,X4] :
( less_than(X0,X1)
| less_than(X1,X2)
| less_than(sK5(X3,X4),X0)
| less_than(X2,X4)
| issmallestelement_pq(X3,X4) ),
inference(resolution,[],[f268,f255]) ).
fof(f484,plain,
! [X2,X3,X0,X1] :
( less_than(X0,X1)
| less_than(X1,X2)
| less_than(sK5(X3,X2),X0)
| issmallestelement_pq(X3,X2) ),
inference(resolution,[],[f268,f178]) ).
fof(f482,plain,
! [X2,X3,X0,X1,X4] :
( less_than(X0,X1)
| less_than(X2,X3)
| less_than(X3,X0)
| less_than(X4,X2)
| ~ less_than(X4,X1) ),
inference(resolution,[],[f268,f191]) ).
fof(f481,plain,
! [X2,X3,X0,X1,X4] :
( less_than(X0,X1)
| less_than(X2,X3)
| less_than(X3,X0)
| less_than(X1,X4)
| less_than(X4,X2) ),
inference(resolution,[],[f268,f253]) ).
fof(f480,plain,
! [X2,X3,X0,X1,X4] :
( less_than(X0,X1)
| less_than(sK5(X2,X3),X4)
| less_than(X4,X0)
| less_than(X1,X3)
| issmallestelement_pq(X2,X3) ),
inference(resolution,[],[f268,f255]) ).
fof(f479,plain,
! [X2,X3,X0,X1] :
( less_than(X0,X1)
| less_than(sK5(X2,X1),X3)
| less_than(X3,X0)
| issmallestelement_pq(X2,X1) ),
inference(resolution,[],[f268,f178]) ).
fof(f475,plain,
! [X2,X3,X0,X1,X4] :
( less_than(sK5(X0,X1),X2)
| less_than(X2,X3)
| less_than(X3,X4)
| less_than(X4,X1)
| issmallestelement_pq(X0,X1) ),
inference(resolution,[],[f268,f255]) ).
fof(f474,plain,
! [X2,X3,X0,X1] :
( less_than(sK5(X0,X1),X2)
| less_than(X2,X3)
| less_than(X3,X1)
| issmallestelement_pq(X0,X1) ),
inference(resolution,[],[f268,f178]) ).
fof(f268,plain,
! [X2,X3,X0,X1] :
( less_than(X0,X1)
| less_than(X1,X2)
| less_than(X2,X3)
| less_than(X3,X0) ),
inference(resolution,[],[f264,f253]) ).
fof(f471,plain,
! [X2,X0,X1] : insert_pq(insert_pq(X0,X1),X2) = removemin_pq_eff(insert_pq(insert_pq(insert_pq(X0,bottom),X1),X2),bottom),
inference(superposition,[],[f467,f186]) ).
fof(f467,plain,
! [X0,X1] : insert_pq(X0,X1) = removemin_pq_eff(insert_pq(insert_pq(X0,bottom),X1),bottom),
inference(forward_demodulation,[],[f462,f324]) ).
fof(f462,plain,
! [X0,X1] : removemin_pq_eff(insert_pq(insert_pq(X0,bottom),X1),bottom) = remove_pq(insert_pq(insert_pq(X0,bottom),X1),bottom),
inference(resolution,[],[f458,f325]) ).
fof(f469,plain,
! [X0,X1] : insert_pq(X0,X1) = removemin_pq_eff(insert_pq(insert_pq(X0,bottom),X1),bottom),
inference(superposition,[],[f466,f186]) ).
fof(f468,plain,
! [X0,X1] : insert_pq(X0,X1) = removemin_pq_eff(insert_pq(insert_pq(X0,bottom),X1),bottom),
inference(superposition,[],[f466,f186]) ).
fof(f466,plain,
! [X0] : removemin_pq_eff(insert_pq(X0,bottom),bottom) = X0,
inference(forward_demodulation,[],[f460,f166]) ).
fof(f460,plain,
! [X0] : removemin_pq_eff(insert_pq(X0,bottom),bottom) = remove_pq(insert_pq(X0,bottom),bottom),
inference(resolution,[],[f458,f220]) ).
fof(f465,plain,
! [X2,X0,X1] :
( removemin_pq_eff(insert_pq(insert_pq(X0,X1),X2),bottom) = remove_pq(insert_pq(insert_pq(X0,X1),X2),bottom)
| ~ contains_pq(insert_pq(X0,X2),bottom) ),
inference(resolution,[],[f458,f323]) ).
fof(f464,plain,
! [X2,X3,X0,X1] : removemin_pq_eff(insert_pq(insert_pq(insert_pq(insert_pq(X0,bottom),X1),X2),X3),bottom) = remove_pq(insert_pq(insert_pq(insert_pq(insert_pq(X0,bottom),X1),X2),X3),bottom),
inference(resolution,[],[f458,f357]) ).
fof(f463,plain,
! [X2,X0,X1] : removemin_pq_eff(insert_pq(insert_pq(insert_pq(X0,bottom),X1),X2),bottom) = remove_pq(insert_pq(insert_pq(insert_pq(X0,bottom),X1),X2),bottom),
inference(resolution,[],[f458,f348]) ).
fof(f458,plain,
! [X0] :
( ~ contains_pq(X0,bottom)
| removemin_pq_eff(X0,bottom) = remove_pq(X0,bottom) ),
inference(resolution,[],[f174,f233]) ).
fof(f174,plain,
! [X0,X1] :
( ~ issmallestelement_pq(X0,X1)
| removemin_pq_eff(X0,X1) = remove_pq(X0,X1)
| ~ contains_pq(X0,X1) ),
inference(cnf_transformation,[],[f89]) ).
fof(f89,plain,
! [X0,X1] :
( removemin_pq_eff(X0,X1) = remove_pq(X0,X1)
| ~ issmallestelement_pq(X0,X1)
| ~ contains_pq(X0,X1) ),
inference(flattening,[],[f88]) ).
fof(f88,plain,
! [X0,X1] :
( removemin_pq_eff(X0,X1) = remove_pq(X0,X1)
| ~ issmallestelement_pq(X0,X1)
| ~ contains_pq(X0,X1) ),
inference(ennf_transformation,[],[f15]) ).
fof(f15,axiom,
! [X0,X1] :
( ( issmallestelement_pq(X0,X1)
& contains_pq(X0,X1) )
=> removemin_pq_eff(X0,X1) = remove_pq(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax15) ).
fof(f455,plain,
! [X0,X1] :
( phi(triple(X0,create_slb,bad))
| ~ ok(removemin_cpq_eff(triple(X0,create_slb,X1)))
| ~ check_cpq(removemin_cpq_eff(triple(X0,create_slb,X1))) ),
inference(superposition,[],[f453,f167]) ).
fof(f453,plain,
! [X0] :
( phi(findmin_cpq_eff(X0))
| ~ ok(removemin_cpq_eff(X0))
| ~ check_cpq(removemin_cpq_eff(X0)) ),
inference(resolution,[],[f242,f150]) ).
fof(f454,plain,
! [X2,X0,X1] :
( ~ succ_cpq(X2,triple(X0,create_slb,bad))
| ~ ok(removemin_cpq_eff(triple(X0,create_slb,X1)))
| phi(X2)
| ~ check_cpq(removemin_cpq_eff(triple(X0,create_slb,X1))) ),
inference(superposition,[],[f242,f167]) ).
fof(f242,plain,
! [X0,X1] :
( ~ succ_cpq(X1,findmin_cpq_eff(X0))
| ~ ok(removemin_cpq_eff(X0))
| phi(X1)
| ~ check_cpq(removemin_cpq_eff(X0)) ),
inference(resolution,[],[f160,f236]) ).
fof(f449,plain,
! [X2,X3,X0,X1,X4] :
( contains_pq(insert_pq(insert_pq(insert_pq(X0,X2),X1),X3),X4)
| ~ contains_pq(insert_pq(insert_pq(X0,X1),X3),X4) ),
inference(superposition,[],[f323,f186]) ).
fof(f447,plain,
! [X2,X0,X1] :
( ~ contains_pq(insert_pq(X0,X1),bottom)
| insert_pq(insert_pq(X0,X2),X1) = findmin_pq_eff(insert_pq(insert_pq(X0,X2),X1),bottom) ),
inference(resolution,[],[f323,f294]) ).
fof(f323,plain,
! [X2,X3,X0,X1] :
( contains_pq(insert_pq(insert_pq(X0,X2),X1),X3)
| ~ contains_pq(insert_pq(X0,X1),X3) ),
inference(superposition,[],[f193,f186]) ).
fof(f439,plain,
! [X2,X3,X0,X1] :
( succ_cpq(X3,removemin_cpq_eff(triple(X0,create_slb,X2)))
| ~ succ_cpq(X3,triple(X0,create_slb,X1)) ),
inference(superposition,[],[f169,f420]) ).
fof(f441,plain,
! [X2,X3,X0] :
( ~ succ_cpq(X3,triple(X0,create_slb,bad))
| succ_cpq(X3,removemin_cpq_eff(triple(X0,create_slb,X2))) ),
inference(forward_demodulation,[],[f438,f167]) ).
fof(f438,plain,
! [X2,X3,X0,X1] :
( succ_cpq(X3,removemin_cpq_eff(triple(X0,create_slb,X2)))
| ~ succ_cpq(X3,findmin_cpq_eff(triple(X0,create_slb,X1))) ),
inference(superposition,[],[f236,f420]) ).
fof(f437,plain,
! [X2,X3,X0,X1] :
( ~ ok(removemin_cpq_eff(triple(X0,create_slb,X2)))
| ~ check_cpq(removemin_cpq_eff(triple(X0,create_slb,X1)))
| phi(X3)
| ~ succ_cpq(X3,triple(X0,create_slb,X1)) ),
inference(superposition,[],[f243,f420]) ).
fof(f435,plain,
! [X2,X3,X0,X1] :
( succ_cpq(X3,removemin_cpq_eff(triple(X0,create_slb,X2)))
| ~ succ_cpq(X3,triple(X0,create_slb,X1)) ),
inference(superposition,[],[f169,f420]) ).
fof(f440,plain,
! [X2,X3,X0] :
( ~ succ_cpq(X3,triple(X0,create_slb,bad))
| succ_cpq(X3,removemin_cpq_eff(triple(X0,create_slb,X2))) ),
inference(forward_demodulation,[],[f434,f167]) ).
fof(f434,plain,
! [X2,X3,X0,X1] :
( succ_cpq(X3,removemin_cpq_eff(triple(X0,create_slb,X2)))
| ~ succ_cpq(X3,findmin_cpq_eff(triple(X0,create_slb,X1))) ),
inference(superposition,[],[f236,f420]) ).
fof(f433,plain,
! [X2,X3,X0,X1] :
( ~ ok(removemin_cpq_eff(triple(X0,create_slb,X2)))
| ~ check_cpq(removemin_cpq_eff(triple(X0,create_slb,X1)))
| phi(X3)
| ~ succ_cpq(X3,triple(X0,create_slb,X1)) ),
inference(superposition,[],[f243,f420]) ).
fof(f420,plain,
! [X2,X0,X1] : removemin_cpq_eff(triple(X0,create_slb,X1)) = removemin_cpq_eff(triple(X0,create_slb,X2)),
inference(superposition,[],[f287,f287]) ).
fof(f423,plain,
! [X2,X0,X1] :
( succ_cpq(X2,remove_cpq(triple(X0,create_slb,bad),bottom))
| ~ succ_cpq(X2,triple(X0,create_slb,X1)) ),
inference(superposition,[],[f169,f287]) ).
fof(f421,plain,
! [X2,X0,X1] :
( ~ ok(remove_cpq(triple(X0,create_slb,bad),bottom))
| ~ check_cpq(removemin_cpq_eff(triple(X0,create_slb,X1)))
| phi(X2)
| ~ succ_cpq(X2,triple(X0,create_slb,X1)) ),
inference(superposition,[],[f243,f287]) ).
fof(f287,plain,
! [X0,X1] : removemin_cpq_eff(triple(X0,create_slb,X1)) = remove_cpq(triple(X0,create_slb,bad),bottom),
inference(forward_demodulation,[],[f285,f164]) ).
fof(f285,plain,
! [X0,X1] : removemin_cpq_eff(triple(X0,create_slb,X1)) = remove_cpq(triple(X0,create_slb,bad),findmin_cpq_res(triple(X0,create_slb,X1))),
inference(superposition,[],[f155,f167]) ).
fof(f417,plain,
! [X0,X1] : succ_cpq(triple(X0,create_slb,X1),triple(X0,create_slb,bad)),
inference(resolution,[],[f286,f150]) ).
fof(f286,plain,
! [X2,X0,X1] :
( ~ succ_cpq(X2,triple(X0,create_slb,X1))
| succ_cpq(X2,triple(X0,create_slb,bad)) ),
inference(superposition,[],[f170,f167]) ).
fof(f218,plain,
! [X2,X3,X0,X1,X4] :
( pair_in_list(insert_slb(X0,pair(X1,X3)),X2,X4)
| ~ pair_in_list(X0,X2,X4) ),
inference(cnf_transformation,[],[f141]) ).
fof(f410,plain,
! [X2,X3,X0,X1,X4,X5] : contains_pq(insert_pq(insert_pq(insert_pq(insert_pq(insert_pq(X0,X2),X1),X3),X4),X5),X2),
inference(superposition,[],[f357,f186]) ).
fof(f408,plain,
! [X2,X3,X0,X1] : insert_pq(insert_pq(insert_pq(insert_pq(X0,bottom),X1),X2),X3) = findmin_pq_eff(insert_pq(insert_pq(insert_pq(insert_pq(X0,bottom),X1),X2),X3),bottom),
inference(resolution,[],[f357,f294]) ).
fof(f407,plain,
! [X2,X3,X0,X1] : bottom = removemin_pq_res(insert_pq(insert_pq(insert_pq(insert_pq(X0,bottom),X1),X2),X3),bottom),
inference(resolution,[],[f357,f301]) ).
fof(f406,plain,
! [X2,X3,X0,X1] : bottom = findmin_pq_res(insert_pq(insert_pq(insert_pq(insert_pq(X0,bottom),X1),X2),X3),bottom),
inference(resolution,[],[f357,f308]) ).
fof(f357,plain,
! [X2,X3,X0,X1,X4] : contains_pq(insert_pq(insert_pq(insert_pq(insert_pq(X0,X2),X1),X3),X4),X2),
inference(superposition,[],[f348,f186]) ).
fof(f398,plain,
! [X2,X3,X0,X1] : bottom = removemin_pq_res(insert_pq(insert_pq(insert_pq(insert_pq(X0,bottom),X1),X2),X3),bottom),
inference(superposition,[],[f355,f186]) ).
fof(f397,plain,
! [X2,X3,X0,X1] : bottom = removemin_pq_res(insert_pq(insert_pq(insert_pq(insert_pq(X0,bottom),X1),X2),X3),bottom),
inference(superposition,[],[f355,f186]) ).
fof(f355,plain,
! [X2,X0,X1] : bottom = removemin_pq_res(insert_pq(insert_pq(insert_pq(X0,bottom),X1),X2),bottom),
inference(resolution,[],[f348,f301]) ).
fof(f392,plain,
! [X2,X3,X0,X1] : bottom = findmin_pq_res(insert_pq(insert_pq(insert_pq(insert_pq(X0,bottom),X1),X2),X3),bottom),
inference(superposition,[],[f354,f186]) ).
fof(f391,plain,
! [X2,X3,X0,X1] : bottom = findmin_pq_res(insert_pq(insert_pq(insert_pq(insert_pq(X0,bottom),X1),X2),X3),bottom),
inference(superposition,[],[f354,f186]) ).
fof(f354,plain,
! [X2,X0,X1] : bottom = findmin_pq_res(insert_pq(insert_pq(insert_pq(X0,bottom),X1),X2),bottom),
inference(resolution,[],[f348,f308]) ).
fof(f213,plain,
! [X2,X3,X0,X1,X4] :
( ~ check_cpq(triple(X0,insert_slb(X1,pair(X3,X4)),X2))
| ~ strictly_less_than(X3,X4) ),
inference(cnf_transformation,[],[f118]) ).
fof(f118,plain,
! [X0,X1,X2,X3,X4] :
( ~ check_cpq(triple(X0,insert_slb(X1,pair(X3,X4)),X2))
| ~ strictly_less_than(X3,X4) ),
inference(ennf_transformation,[],[f73]) ).
fof(f73,plain,
! [X0,X1,X2,X3,X4] :
( strictly_less_than(X3,X4)
=> ~ check_cpq(triple(X0,insert_slb(X1,pair(X3,X4)),X2)) ),
inference(flattening,[],[f72]) ).
fof(f72,plain,
! [X0,X1,X2,X3,X4] :
( strictly_less_than(X3,X4)
=> ~ check_cpq(triple(X0,insert_slb(X1,pair(X3,X4)),X2)) ),
inference(true_and_false_elimination,[],[f38]) ).
fof(f38,axiom,
! [X0,X1,X2,X3,X4] :
( strictly_less_than(X3,X4)
=> ( check_cpq(triple(X0,insert_slb(X1,pair(X3,X4)),X2))
<=> $false ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax38) ).
fof(f388,plain,
! [X2,X3,X0,X1] :
( less_than(X0,X1)
| issmallestelement_pq(X2,X1)
| less_than(sK5(X2,X1),X3)
| less_than(X3,X0) ),
inference(resolution,[],[f266,f253]) ).
fof(f386,plain,
! [X2,X0,X1] :
( less_than(sK5(X0,sK5(X1,X2)),X2)
| issmallestelement_pq(X1,X2)
| issmallestelement_pq(X0,sK5(X1,X2)) ),
inference(resolution,[],[f266,f178]) ).
fof(f266,plain,
! [X2,X0,X1] :
( less_than(sK5(X0,X1),X2)
| less_than(X2,X1)
| issmallestelement_pq(X0,X1) ),
inference(resolution,[],[f253,f234]) ).
fof(f384,plain,
! [X2,X0,X1] :
( less_than(X0,X1)
| issmallestelement_pq(X2,X1)
| less_than(sK5(X2,X1),X0) ),
inference(resolution,[],[f255,f168]) ).
fof(f383,plain,
! [X2,X0,X1] :
( less_than(X0,X1)
| issmallestelement_pq(X2,X1)
| less_than(sK5(X2,X1),X0) ),
inference(resolution,[],[f255,f168]) ).
fof(f382,plain,
! [X2,X3,X0,X1] :
( less_than(X0,X1)
| issmallestelement_pq(X2,X1)
| less_than(sK5(X2,X1),X3)
| less_than(X3,X0) ),
inference(resolution,[],[f255,f264]) ).
fof(f381,plain,
! [X2,X3,X0,X1] :
( less_than(X0,X1)
| issmallestelement_pq(X2,X1)
| less_than(X3,X0)
| less_than(sK5(X2,X1),X3) ),
inference(resolution,[],[f255,f264]) ).
fof(f255,plain,
! [X2,X0,X1] :
( ~ less_than(X0,sK5(X2,X1))
| less_than(X0,X1)
| issmallestelement_pq(X2,X1) ),
inference(resolution,[],[f191,f234]) ).
fof(f375,plain,
! [X2,X3,X0,X1] : insert_pq(insert_pq(X0,X1),X3) = remove_pq(insert_pq(insert_pq(insert_pq(X0,X2),X1),X3),X2),
inference(superposition,[],[f324,f186]) ).
fof(f324,plain,
! [X2,X0,X1] : insert_pq(X0,X1) = remove_pq(insert_pq(insert_pq(X0,X2),X1),X2),
inference(superposition,[],[f166,f186]) ).
fof(f243,plain,
! [X0,X1] :
( ~ ok(removemin_cpq_eff(X0))
| ~ check_cpq(removemin_cpq_eff(X0))
| phi(X1)
| ~ succ_cpq(X1,X0) ),
inference(resolution,[],[f160,f169]) ).
fof(f241,plain,
! [X0,X1] :
( ~ ok(findmin_cpq_eff(X0))
| ~ check_cpq(findmin_cpq_eff(X0))
| phi(X1)
| ~ succ_cpq(X1,X0) ),
inference(resolution,[],[f160,f170]) ).
fof(f369,plain,
! [X2,X3,X0,X1] :
( ~ contains_pq(insert_pq(insert_pq(X0,X2),X1),X3)
| contains_pq(insert_pq(X0,X1),X3)
| X2 = X3 ),
inference(superposition,[],[f192,f186]) ).
fof(f367,plain,
! [X2,X0,X1] :
( contains_pq(X0,sK5(insert_pq(X0,X1),X2))
| sK5(insert_pq(X0,X1),X2) = X1
| issmallestelement_pq(insert_pq(X0,X1),X2) ),
inference(resolution,[],[f192,f177]) ).
fof(f192,plain,
! [X2,X0,X1] :
( ~ contains_pq(insert_pq(X0,X1),X2)
| contains_pq(X0,X2)
| X1 = X2 ),
inference(cnf_transformation,[],[f135]) ).
fof(f135,plain,
! [X0,X1,X2] :
( ( contains_pq(insert_pq(X0,X1),X2)
| ( X1 != X2
& ~ contains_pq(X0,X2) ) )
& ( X1 = X2
| contains_pq(X0,X2)
| ~ contains_pq(insert_pq(X0,X1),X2) ) ),
inference(flattening,[],[f134]) ).
fof(f134,plain,
! [X0,X1,X2] :
( ( contains_pq(insert_pq(X0,X1),X2)
| ( X1 != X2
& ~ contains_pq(X0,X2) ) )
& ( X1 = X2
| contains_pq(X0,X2)
| ~ contains_pq(insert_pq(X0,X1),X2) ) ),
inference(nnf_transformation,[],[f9]) ).
fof(f9,axiom,
! [X0,X1,X2] :
( contains_pq(insert_pq(X0,X1),X2)
<=> ( X1 = X2
| contains_pq(X0,X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax9) ).
fof(f358,plain,
! [X2,X3,X0,X1,X4] : contains_pq(insert_pq(insert_pq(insert_pq(insert_pq(X0,X2),X1),X3),X4),X2),
inference(superposition,[],[f348,f186]) ).
fof(f356,plain,
! [X2,X0,X1] : insert_pq(insert_pq(insert_pq(X0,bottom),X1),X2) = findmin_pq_eff(insert_pq(insert_pq(insert_pq(X0,bottom),X1),X2),bottom),
inference(resolution,[],[f348,f294]) ).
fof(f348,plain,
! [X2,X3,X0,X1] : contains_pq(insert_pq(insert_pq(insert_pq(X0,X2),X1),X3),X2),
inference(superposition,[],[f325,f186]) ).
fof(f349,plain,
! [X2,X3,X0,X1] : contains_pq(insert_pq(insert_pq(insert_pq(X0,X2),X1),X3),X2),
inference(superposition,[],[f325,f186]) ).
fof(f344,plain,
! [X2,X0,X1] : bottom = removemin_pq_res(insert_pq(insert_pq(insert_pq(X0,bottom),X1),X2),bottom),
inference(resolution,[],[f325,f304]) ).
fof(f343,plain,
! [X2,X0,X1] : bottom = findmin_pq_res(insert_pq(insert_pq(insert_pq(X0,bottom),X1),X2),bottom),
inference(resolution,[],[f325,f311]) ).
fof(f325,plain,
! [X2,X0,X1] : contains_pq(insert_pq(insert_pq(X0,X2),X1),X2),
inference(superposition,[],[f220,f186]) ).
fof(f342,plain,
! [X0,X1] : insert_pq(insert_pq(X0,bottom),X1) = findmin_pq_eff(insert_pq(insert_pq(X0,bottom),X1),bottom),
inference(superposition,[],[f296,f186]) ).
fof(f339,plain,
! [X2,X0,X1] : bottom = removemin_pq_res(insert_pq(insert_pq(insert_pq(X0,bottom),X1),X2),bottom),
inference(superposition,[],[f313,f186]) ).
fof(f338,plain,
! [X2,X0,X1] : bottom = findmin_pq_res(insert_pq(insert_pq(insert_pq(X0,bottom),X1),X2),bottom),
inference(superposition,[],[f315,f186]) ).
fof(f336,plain,
! [X2,X0,X1] : contains_pq(insert_pq(insert_pq(X0,X2),X1),X2),
inference(superposition,[],[f220,f186]) ).
fof(f335,plain,
! [X2,X0,X1] : insert_pq(X0,X1) = remove_pq(insert_pq(insert_pq(X0,X2),X1),X2),
inference(superposition,[],[f166,f186]) ).
fof(f334,plain,
! [X2,X3,X0,X1] :
( contains_pq(insert_pq(insert_pq(X0,X2),X1),X3)
| ~ contains_pq(insert_pq(X0,X1),X3) ),
inference(superposition,[],[f193,f186]) ).
fof(f331,plain,
! [X0,X1] : insert_pq(insert_pq(X0,bottom),X1) = findmin_pq_eff(insert_pq(insert_pq(X0,bottom),X1),bottom),
inference(superposition,[],[f296,f186]) ).
fof(f328,plain,
! [X2,X0,X1] : bottom = removemin_pq_res(insert_pq(insert_pq(insert_pq(X0,bottom),X1),X2),bottom),
inference(superposition,[],[f313,f186]) ).
fof(f327,plain,
! [X2,X0,X1] : bottom = findmin_pq_res(insert_pq(insert_pq(insert_pq(X0,bottom),X1),X2),bottom),
inference(superposition,[],[f315,f186]) ).
fof(f320,plain,
! [X2,X3,X0,X1] : insert_pq(insert_pq(insert_pq(X0,X1),X3),X2) = insert_pq(insert_pq(insert_pq(X0,X2),X1),X3),
inference(superposition,[],[f186,f186]) ).
fof(f319,plain,
! [X2,X3,X0,X1] : insert_pq(insert_pq(insert_pq(X0,X1),X3),X2) = insert_pq(insert_pq(insert_pq(X0,X2),X1),X3),
inference(superposition,[],[f186,f186]) ).
fof(f318,plain,
! [X2,X3,X0,X1] : insert_pq(insert_pq(insert_pq(X0,X1),X3),X2) = insert_pq(insert_pq(insert_pq(X0,X2),X1),X3),
inference(superposition,[],[f186,f186]) ).
fof(f186,plain,
! [X2,X0,X1] : insert_pq(insert_pq(X0,X1),X2) = insert_pq(insert_pq(X0,X2),X1),
inference(cnf_transformation,[],[f17]) ).
fof(f17,axiom,
! [X0,X1,X2] : insert_pq(insert_pq(X0,X1),X2) = insert_pq(insert_pq(X0,X2),X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax17) ).
fof(f315,plain,
! [X0,X1] : bottom = findmin_pq_res(insert_pq(insert_pq(X0,bottom),X1),bottom),
inference(resolution,[],[f311,f220]) ).
fof(f311,plain,
! [X0,X1] :
( ~ contains_pq(X0,bottom)
| bottom = findmin_pq_res(insert_pq(X0,X1),bottom) ),
inference(resolution,[],[f308,f193]) ).
fof(f313,plain,
! [X0,X1] : bottom = removemin_pq_res(insert_pq(insert_pq(X0,bottom),X1),bottom),
inference(resolution,[],[f304,f220]) ).
fof(f304,plain,
! [X0,X1] :
( ~ contains_pq(X0,bottom)
| bottom = removemin_pq_res(insert_pq(X0,X1),bottom) ),
inference(resolution,[],[f301,f193]) ).
fof(f309,plain,
! [X0] :
( ~ pi_find_min(X0)
| sK3(X0) = findmin_pq_res(i(X0),sK3(X0)) ),
inference(subsumption_resolution,[],[f306,f226]) ).
fof(f306,plain,
! [X0] :
( sK3(X0) = findmin_pq_res(i(X0),sK3(X0))
| ~ contains_pq(i(X0),sK3(X0))
| ~ pi_find_min(X0) ),
inference(resolution,[],[f173,f225]) ).
fof(f310,plain,
! [X0] : bottom = findmin_pq_res(insert_pq(X0,bottom),bottom),
inference(resolution,[],[f308,f220]) ).
fof(f308,plain,
! [X0] :
( ~ contains_pq(X0,bottom)
| bottom = findmin_pq_res(X0,bottom) ),
inference(resolution,[],[f173,f233]) ).
fof(f173,plain,
! [X0,X1] :
( ~ issmallestelement_pq(X0,X1)
| findmin_pq_res(X0,X1) = X1
| ~ contains_pq(X0,X1) ),
inference(cnf_transformation,[],[f87]) ).
fof(f87,plain,
! [X0,X1] :
( findmin_pq_res(X0,X1) = X1
| ~ issmallestelement_pq(X0,X1)
| ~ contains_pq(X0,X1) ),
inference(flattening,[],[f86]) ).
fof(f86,plain,
! [X0,X1] :
( findmin_pq_res(X0,X1) = X1
| ~ issmallestelement_pq(X0,X1)
| ~ contains_pq(X0,X1) ),
inference(ennf_transformation,[],[f14]) ).
fof(f14,axiom,
! [X0,X1] :
( ( issmallestelement_pq(X0,X1)
& contains_pq(X0,X1) )
=> findmin_pq_res(X0,X1) = X1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax14) ).
fof(f302,plain,
! [X0] :
( ~ pi_find_min(X0)
| sK3(X0) = removemin_pq_res(i(X0),sK3(X0)) ),
inference(subsumption_resolution,[],[f299,f226]) ).
fof(f299,plain,
! [X0] :
( sK3(X0) = removemin_pq_res(i(X0),sK3(X0))
| ~ contains_pq(i(X0),sK3(X0))
| ~ pi_find_min(X0) ),
inference(resolution,[],[f172,f225]) ).
fof(f303,plain,
! [X0] : bottom = removemin_pq_res(insert_pq(X0,bottom),bottom),
inference(resolution,[],[f301,f220]) ).
fof(f301,plain,
! [X0] :
( ~ contains_pq(X0,bottom)
| bottom = removemin_pq_res(X0,bottom) ),
inference(resolution,[],[f172,f233]) ).
fof(f172,plain,
! [X0,X1] :
( ~ issmallestelement_pq(X0,X1)
| removemin_pq_res(X0,X1) = X1
| ~ contains_pq(X0,X1) ),
inference(cnf_transformation,[],[f85]) ).
fof(f85,plain,
! [X0,X1] :
( removemin_pq_res(X0,X1) = X1
| ~ issmallestelement_pq(X0,X1)
| ~ contains_pq(X0,X1) ),
inference(flattening,[],[f84]) ).
fof(f84,plain,
! [X0,X1] :
( removemin_pq_res(X0,X1) = X1
| ~ issmallestelement_pq(X0,X1)
| ~ contains_pq(X0,X1) ),
inference(ennf_transformation,[],[f16]) ).
fof(f16,axiom,
! [X0,X1] :
( ( issmallestelement_pq(X0,X1)
& contains_pq(X0,X1) )
=> removemin_pq_res(X0,X1) = X1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax16) ).
fof(f295,plain,
! [X0] :
( ~ pi_find_min(X0)
| i(X0) = findmin_pq_eff(i(X0),sK3(X0)) ),
inference(subsumption_resolution,[],[f292,f226]) ).
fof(f292,plain,
! [X0] :
( i(X0) = findmin_pq_eff(i(X0),sK3(X0))
| ~ contains_pq(i(X0),sK3(X0))
| ~ pi_find_min(X0) ),
inference(resolution,[],[f171,f225]) ).
fof(f296,plain,
! [X0] : insert_pq(X0,bottom) = findmin_pq_eff(insert_pq(X0,bottom),bottom),
inference(resolution,[],[f294,f220]) ).
fof(f294,plain,
! [X0] :
( ~ contains_pq(X0,bottom)
| findmin_pq_eff(X0,bottom) = X0 ),
inference(resolution,[],[f171,f233]) ).
fof(f171,plain,
! [X0,X1] :
( ~ issmallestelement_pq(X0,X1)
| findmin_pq_eff(X0,X1) = X0
| ~ contains_pq(X0,X1) ),
inference(cnf_transformation,[],[f83]) ).
fof(f83,plain,
! [X0,X1] :
( findmin_pq_eff(X0,X1) = X0
| ~ issmallestelement_pq(X0,X1)
| ~ contains_pq(X0,X1) ),
inference(flattening,[],[f82]) ).
fof(f82,plain,
! [X0,X1] :
( findmin_pq_eff(X0,X1) = X0
| ~ issmallestelement_pq(X0,X1)
| ~ contains_pq(X0,X1) ),
inference(ennf_transformation,[],[f13]) ).
fof(f13,axiom,
! [X0,X1] :
( ( issmallestelement_pq(X0,X1)
& contains_pq(X0,X1) )
=> findmin_pq_eff(X0,X1) = X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax13) ).
fof(f246,plain,
! [X0,X1] :
( ~ contains_pq(i(X0),X1)
| less_than(sK3(X0),X1)
| ~ pi_find_min(X0) ),
inference(resolution,[],[f176,f225]) ).
fof(f210,plain,
! [X2,X3,X0,X1] :
( contains_slb(insert_slb(X0,pair(X1,X3)),X2)
| ~ contains_slb(X0,X2) ),
inference(cnf_transformation,[],[f138]) ).
fof(f167,plain,
! [X0,X1] : findmin_cpq_eff(triple(X0,create_slb,X1)) = triple(X0,create_slb,bad),
inference(cnf_transformation,[],[f46]) ).
fof(f46,axiom,
! [X0,X1] : findmin_cpq_eff(triple(X0,create_slb,X1)) = triple(X0,create_slb,bad),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax46) ).
fof(f277,plain,
! [X2,X3,X0,X1] :
( less_than(X0,X1)
| less_than(X1,X2)
| less_than(X3,X0)
| ~ less_than(X3,X2) ),
inference(resolution,[],[f264,f191]) ).
fof(f276,plain,
! [X2,X3,X0,X1] :
( less_than(X0,X1)
| less_than(X1,X2)
| less_than(X2,X3)
| less_than(X3,X0) ),
inference(resolution,[],[f264,f253]) ).
fof(f275,plain,
! [X2,X0,X1] :
( less_than(sK5(X0,X1),X2)
| less_than(X2,X1)
| issmallestelement_pq(X0,X1) ),
inference(resolution,[],[f264,f178]) ).
fof(f273,plain,
! [X2,X3,X0,X1] :
( less_than(X0,X1)
| less_than(X2,X0)
| less_than(X3,X2)
| ~ less_than(X3,X1) ),
inference(resolution,[],[f264,f191]) ).
fof(f272,plain,
! [X2,X3,X0,X1] :
( less_than(X0,X1)
| less_than(X2,X0)
| less_than(X1,X3)
| less_than(X3,X2) ),
inference(resolution,[],[f264,f253]) ).
fof(f271,plain,
! [X2,X0,X1] :
( less_than(X0,X1)
| less_than(sK5(X2,X1),X0)
| issmallestelement_pq(X2,X1) ),
inference(resolution,[],[f264,f178]) ).
fof(f267,plain,
! [X2,X0,X1] :
( less_than(sK5(X0,X1),X2)
| less_than(X2,X1)
| issmallestelement_pq(X0,X1) ),
inference(resolution,[],[f264,f178]) ).
fof(f264,plain,
! [X2,X0,X1] :
( less_than(X0,X1)
| less_than(X1,X2)
| less_than(X2,X0) ),
inference(resolution,[],[f253,f168]) ).
fof(f265,plain,
! [X2,X0,X1] :
( less_than(X0,X1)
| less_than(X1,X2)
| less_than(X2,X0) ),
inference(resolution,[],[f253,f168]) ).
fof(f253,plain,
! [X2,X0,X1] :
( ~ less_than(X0,X2)
| less_than(X0,X1)
| less_than(X1,X2) ),
inference(resolution,[],[f191,f168]) ).
fof(f208,plain,
! [X2,X3,X0,X1] :
( contains_cpq(triple(X0,X1,X2),X3)
| ~ contains_slb(X1,X3) ),
inference(cnf_transformation,[],[f136]) ).
fof(f136,plain,
! [X0,X1,X2,X3] :
( ( contains_cpq(triple(X0,X1,X2),X3)
| ~ contains_slb(X1,X3) )
& ( contains_slb(X1,X3)
| ~ contains_cpq(triple(X0,X1,X2),X3) ) ),
inference(nnf_transformation,[],[f39]) ).
fof(f39,axiom,
! [X0,X1,X2,X3] :
( contains_cpq(triple(X0,X1,X2),X3)
<=> contains_slb(X1,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax39) ).
fof(f207,plain,
! [X2,X3,X0,X1] :
( ~ contains_cpq(triple(X0,X1,X2),X3)
| contains_slb(X1,X3) ),
inference(cnf_transformation,[],[f136]) ).
fof(f252,plain,
! [X0,X1] :
( ~ less_than(X0,bottom)
| less_than(X0,X1) ),
inference(resolution,[],[f191,f152]) ).
fof(f254,plain,
! [X2,X0,X1] :
( less_than(X0,X1)
| ~ less_than(X0,X2)
| less_than(X1,X2) ),
inference(resolution,[],[f191,f168]) ).
fof(f191,plain,
! [X2,X0,X1] :
( ~ less_than(X1,X2)
| less_than(X0,X2)
| ~ less_than(X0,X1) ),
inference(cnf_transformation,[],[f99]) ).
fof(f99,plain,
! [X0,X1,X2] :
( less_than(X0,X2)
| ~ less_than(X1,X2)
| ~ less_than(X0,X1) ),
inference(flattening,[],[f98]) ).
fof(f98,plain,
! [X0,X1,X2] :
( less_than(X0,X2)
| ~ less_than(X1,X2)
| ~ less_than(X0,X1) ),
inference(ennf_transformation,[],[f1]) ).
fof(f1,axiom,
! [X0,X1,X2] :
( ( less_than(X1,X2)
& less_than(X0,X1) )
=> less_than(X0,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',transitivity) ).
fof(f185,plain,
! [X2,X0,X1] : lookup_slb(insert_slb(X0,pair(X1,X2)),X1) = X2,
inference(cnf_transformation,[],[f26]) ).
fof(f26,axiom,
! [X0,X1,X2] : lookup_slb(insert_slb(X0,pair(X1,X2)),X1) = X2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax26) ).
fof(f184,plain,
! [X2,X0,X1] : remove_slb(insert_slb(X0,pair(X1,X2)),X1) = X0,
inference(cnf_transformation,[],[f24]) ).
fof(f24,axiom,
! [X0,X1,X2] : remove_slb(insert_slb(X0,pair(X1,X2)),X1) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax24) ).
fof(f181,plain,
! [X0,X1] :
( pi_sharp_find_min(X0,X1)
| ~ issmallestelement_pq(X0,X1)
| ~ contains_pq(X0,X1) ),
inference(cnf_transformation,[],[f133]) ).
fof(f133,plain,
! [X0,X1] :
( ( pi_sharp_find_min(X0,X1)
| ~ issmallestelement_pq(X0,X1)
| ~ contains_pq(X0,X1) )
& ( ( issmallestelement_pq(X0,X1)
& contains_pq(X0,X1) )
| ~ pi_sharp_find_min(X0,X1) ) ),
inference(flattening,[],[f132]) ).
fof(f132,plain,
! [X0,X1] :
( ( pi_sharp_find_min(X0,X1)
| ~ issmallestelement_pq(X0,X1)
| ~ contains_pq(X0,X1) )
& ( ( issmallestelement_pq(X0,X1)
& contains_pq(X0,X1) )
| ~ pi_sharp_find_min(X0,X1) ) ),
inference(nnf_transformation,[],[f58]) ).
fof(f58,axiom,
! [X0,X1] :
( pi_sharp_find_min(X0,X1)
<=> ( issmallestelement_pq(X0,X1)
& contains_pq(X0,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax58) ).
fof(f176,plain,
! [X3,X0,X1] :
( ~ issmallestelement_pq(X0,X1)
| ~ contains_pq(X0,X3)
| less_than(X1,X3) ),
inference(cnf_transformation,[],[f131]) ).
fof(f131,plain,
! [X0,X1] :
( ( issmallestelement_pq(X0,X1)
| ( ~ less_than(X1,sK5(X0,X1))
& contains_pq(X0,sK5(X0,X1)) ) )
& ( ! [X3] :
( less_than(X1,X3)
| ~ contains_pq(X0,X3) )
| ~ issmallestelement_pq(X0,X1) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK5])],[f129,f130]) ).
fof(f130,plain,
! [X0,X1] :
( ? [X2] :
( ~ less_than(X1,X2)
& contains_pq(X0,X2) )
=> ( ~ less_than(X1,sK5(X0,X1))
& contains_pq(X0,sK5(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f129,plain,
! [X0,X1] :
( ( issmallestelement_pq(X0,X1)
| ? [X2] :
( ~ less_than(X1,X2)
& contains_pq(X0,X2) ) )
& ( ! [X3] :
( less_than(X1,X3)
| ~ contains_pq(X0,X3) )
| ~ issmallestelement_pq(X0,X1) ) ),
inference(rectify,[],[f128]) ).
fof(f128,plain,
! [X0,X1] :
( ( issmallestelement_pq(X0,X1)
| ? [X2] :
( ~ less_than(X1,X2)
& contains_pq(X0,X2) ) )
& ( ! [X2] :
( less_than(X1,X2)
| ~ contains_pq(X0,X2) )
| ~ issmallestelement_pq(X0,X1) ) ),
inference(nnf_transformation,[],[f92]) ).
fof(f92,plain,
! [X0,X1] :
( issmallestelement_pq(X0,X1)
<=> ! [X2] :
( less_than(X1,X2)
| ~ contains_pq(X0,X2) ) ),
inference(ennf_transformation,[],[f10]) ).
fof(f10,axiom,
! [X0,X1] :
( issmallestelement_pq(X0,X1)
<=> ! [X2] :
( contains_pq(X0,X2)
=> less_than(X1,X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax10) ).
fof(f245,plain,
! [X0,X1] :
( strictly_less_than(X0,X1)
| less_than(X1,X0) ),
inference(subsumption_resolution,[],[f175,f168]) ).
fof(f238,plain,
! [X0] :
( phi(X0)
| ~ ok(X0)
| ~ check_cpq(X0) ),
inference(resolution,[],[f160,f150]) ).
fof(f160,plain,
! [X0,X1] :
( ~ succ_cpq(X0,X1)
| ~ check_cpq(X1)
| ~ ok(X1)
| phi(X0) ),
inference(cnf_transformation,[],[f127]) ).
fof(f127,plain,
! [X0] :
( ( phi(X0)
| ! [X1] :
( ~ check_cpq(X1)
| ~ ok(X1)
| ~ succ_cpq(X0,X1) ) )
& ( ( check_cpq(sK4(X0))
& ok(sK4(X0))
& succ_cpq(X0,sK4(X0)) )
| ~ phi(X0) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK4])],[f125,f126]) ).
fof(f126,plain,
! [X0] :
( ? [X2] :
( check_cpq(X2)
& ok(X2)
& succ_cpq(X0,X2) )
=> ( check_cpq(sK4(X0))
& ok(sK4(X0))
& succ_cpq(X0,sK4(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f125,plain,
! [X0] :
( ( phi(X0)
| ! [X1] :
( ~ check_cpq(X1)
| ~ ok(X1)
| ~ succ_cpq(X0,X1) ) )
& ( ? [X2] :
( check_cpq(X2)
& ok(X2)
& succ_cpq(X0,X2) )
| ~ phi(X0) ) ),
inference(rectify,[],[f124]) ).
fof(f124,plain,
! [X0] :
( ( phi(X0)
| ! [X1] :
( ~ check_cpq(X1)
| ~ ok(X1)
| ~ succ_cpq(X0,X1) ) )
& ( ? [X1] :
( check_cpq(X1)
& ok(X1)
& succ_cpq(X0,X1) )
| ~ phi(X0) ) ),
inference(nnf_transformation,[],[f62]) ).
fof(f62,axiom,
! [X0] :
( phi(X0)
<=> ? [X1] :
( check_cpq(X1)
& ok(X1)
& succ_cpq(X0,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax62) ).
fof(f236,plain,
! [X0,X1] :
( succ_cpq(X1,removemin_cpq_eff(X0))
| ~ succ_cpq(X1,findmin_cpq_eff(X0)) ),
inference(superposition,[],[f188,f155]) ).
fof(f234,plain,
! [X0,X1] :
( less_than(sK5(X0,X1),X1)
| issmallestelement_pq(X0,X1) ),
inference(resolution,[],[f178,f168]) ).
fof(f223,plain,
! [X2,X0,X4] : pair_in_list(insert_slb(X0,pair(X2,X4)),X2,X4),
inference(equality_resolution,[],[f222]) ).
fof(f222,plain,
! [X2,X0,X1,X4] :
( pair_in_list(insert_slb(X0,pair(X1,X4)),X2,X4)
| X1 != X2 ),
inference(equality_resolution,[],[f219]) ).
fof(f219,plain,
! [X2,X3,X0,X1,X4] :
( pair_in_list(insert_slb(X0,pair(X1,X3)),X2,X4)
| X3 != X4
| X1 != X2 ),
inference(cnf_transformation,[],[f141]) ).
fof(f193,plain,
! [X2,X0,X1] :
( contains_pq(insert_pq(X0,X1),X2)
| ~ contains_pq(X0,X2) ),
inference(cnf_transformation,[],[f135]) ).
fof(f189,plain,
! [X2,X0,X1] :
( ok(triple(X0,X1,X2))
| bad = X2 ),
inference(cnf_transformation,[],[f95]) ).
fof(f95,plain,
! [X0,X1,X2] :
( bad = X2
| ok(triple(X0,X1,X2)) ),
inference(ennf_transformation,[],[f41]) ).
fof(f41,axiom,
! [X0,X1,X2] :
( ~ ok(triple(X0,X1,X2))
=> bad = X2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax41) ).
fof(f188,plain,
! [X2,X0,X1] :
( succ_cpq(X0,remove_cpq(X1,X2))
| ~ succ_cpq(X0,X1) ),
inference(cnf_transformation,[],[f94]) ).
fof(f94,plain,
! [X0,X1,X2] :
( succ_cpq(X0,remove_cpq(X1,X2))
| ~ succ_cpq(X0,X1) ),
inference(ennf_transformation,[],[f33]) ).
fof(f33,axiom,
! [X0,X1,X2] :
( succ_cpq(X0,X1)
=> succ_cpq(X0,remove_cpq(X1,X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax33) ).
fof(f233,plain,
! [X0] : issmallestelement_pq(X0,bottom),
inference(resolution,[],[f178,f152]) ).
fof(f187,plain,
! [X2,X0,X1] :
( succ_cpq(X0,insert_cpq(X1,X2))
| ~ succ_cpq(X0,X1) ),
inference(cnf_transformation,[],[f93]) ).
fof(f93,plain,
! [X0,X1,X2] :
( succ_cpq(X0,insert_cpq(X1,X2))
| ~ succ_cpq(X0,X1) ),
inference(ennf_transformation,[],[f32]) ).
fof(f32,axiom,
! [X0,X1,X2] :
( succ_cpq(X0,X1)
=> succ_cpq(X0,insert_cpq(X1,X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax32) ).
fof(f235,plain,
! [X0,X1] :
( issmallestelement_pq(X0,X1)
| less_than(sK5(X0,X1),X1) ),
inference(resolution,[],[f178,f168]) ).
fof(f178,plain,
! [X0,X1] :
( ~ less_than(X1,sK5(X0,X1))
| issmallestelement_pq(X0,X1) ),
inference(cnf_transformation,[],[f131]) ).
fof(f232,plain,
! [X0] : issmallestelement_pq(create_pq,X0),
inference(resolution,[],[f177,f148]) ).
fof(f177,plain,
! [X0,X1] :
( contains_pq(X0,sK5(X0,X1))
| issmallestelement_pq(X0,X1) ),
inference(cnf_transformation,[],[f131]) ).
fof(f231,plain,
! [X0,X1] : removemin_cpq_eff(triple(X0,create_slb,X1)) = remove_cpq(findmin_cpq_eff(triple(X0,create_slb,X1)),bottom),
inference(superposition,[],[f155,f164]) ).
fof(f155,plain,
! [X0] : removemin_cpq_eff(X0) = remove_cpq(findmin_cpq_eff(X0),findmin_cpq_res(X0)),
inference(cnf_transformation,[],[f52]) ).
fof(f52,axiom,
! [X0] : removemin_cpq_eff(X0) = remove_cpq(findmin_cpq_eff(X0),findmin_cpq_res(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax52) ).
fof(f230,plain,
! [X0,X1] : ~ pi_find_min(triple(X0,create_slb,X1)),
inference(subsumption_resolution,[],[f229,f148]) ).
fof(f229,plain,
! [X0,X1] :
( contains_pq(create_pq,sK3(triple(X0,create_slb,X1)))
| ~ pi_find_min(triple(X0,create_slb,X1)) ),
inference(superposition,[],[f226,f165]) ).
fof(f226,plain,
! [X0] :
( contains_pq(i(X0),sK3(X0))
| ~ pi_find_min(X0) ),
inference(resolution,[],[f156,f179]) ).
fof(f228,plain,
! [X0,X1] :
( issmallestelement_pq(create_pq,sK3(triple(X0,create_slb,X1)))
| ~ pi_find_min(triple(X0,create_slb,X1)) ),
inference(superposition,[],[f225,f165]) ).
fof(f225,plain,
! [X0] :
( issmallestelement_pq(i(X0),sK3(X0))
| ~ pi_find_min(X0) ),
inference(resolution,[],[f156,f180]) ).
fof(f221,plain,
! [X2,X3,X0] : contains_slb(insert_slb(X0,pair(X2,X3)),X2),
inference(equality_resolution,[],[f211]) ).
fof(f211,plain,
! [X2,X3,X0,X1] :
( contains_slb(insert_slb(X0,pair(X1,X3)),X2)
| X1 != X2 ),
inference(cnf_transformation,[],[f138]) ).
fof(f170,plain,
! [X0,X1] :
( succ_cpq(X0,findmin_cpq_eff(X1))
| ~ succ_cpq(X0,X1) ),
inference(cnf_transformation,[],[f81]) ).
fof(f81,plain,
! [X0,X1] :
( succ_cpq(X0,findmin_cpq_eff(X1))
| ~ succ_cpq(X0,X1) ),
inference(ennf_transformation,[],[f34]) ).
fof(f34,axiom,
! [X0,X1] :
( succ_cpq(X0,X1)
=> succ_cpq(X0,findmin_cpq_eff(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax34) ).
fof(f169,plain,
! [X0,X1] :
( succ_cpq(X0,removemin_cpq_eff(X1))
| ~ succ_cpq(X0,X1) ),
inference(cnf_transformation,[],[f80]) ).
fof(f80,plain,
! [X0,X1] :
( succ_cpq(X0,removemin_cpq_eff(X1))
| ~ succ_cpq(X0,X1) ),
inference(ennf_transformation,[],[f35]) ).
fof(f35,axiom,
! [X0,X1] :
( succ_cpq(X0,X1)
=> succ_cpq(X0,removemin_cpq_eff(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax35) ).
fof(f166,plain,
! [X0,X1] : remove_pq(insert_pq(X0,X1),X1) = X0,
inference(cnf_transformation,[],[f11]) ).
fof(f11,axiom,
! [X0,X1] : remove_pq(insert_pq(X0,X1),X1) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax11) ).
fof(f227,plain,
! [X0,X1] :
( pi_sharp_find_min(create_pq,sK3(triple(X0,create_slb,X1)))
| ~ pi_find_min(triple(X0,create_slb,X1)) ),
inference(superposition,[],[f156,f165]) ).
fof(f165,plain,
! [X0,X1] : create_pq = i(triple(X0,create_slb,X1)),
inference(cnf_transformation,[],[f54]) ).
fof(f54,axiom,
! [X0,X1] : create_pq = i(triple(X0,create_slb,X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax54) ).
fof(f164,plain,
! [X0,X1] : bottom = findmin_cpq_res(triple(X0,create_slb,X1)),
inference(cnf_transformation,[],[f50]) ).
fof(f50,axiom,
! [X0,X1] : bottom = findmin_cpq_res(triple(X0,create_slb,X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax50) ).
fof(f156,plain,
! [X0] :
( pi_sharp_find_min(i(X0),sK3(X0))
| ~ pi_find_min(X0) ),
inference(cnf_transformation,[],[f123]) ).
fof(f123,plain,
! [X0] :
( pi_sharp_find_min(i(X0),sK3(X0))
| ~ pi_find_min(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK3])],[f79,f122]) ).
fof(f122,plain,
! [X0] :
( ? [X1] : pi_sharp_find_min(i(X0),X1)
=> pi_sharp_find_min(i(X0),sK3(X0)) ),
introduced(choice_axiom,[]) ).
fof(f79,plain,
! [X0] :
( ? [X1] : pi_sharp_find_min(i(X0),X1)
| ~ pi_find_min(X0) ),
inference(ennf_transformation,[],[f74]) ).
fof(f74,plain,
! [X0] :
( pi_find_min(X0)
=> ? [X1] : pi_sharp_find_min(i(X0),X1) ),
inference(unused_predicate_definition_removal,[],[f59]) ).
fof(f59,axiom,
! [X0] :
( pi_find_min(X0)
<=> ? [X1] : pi_sharp_find_min(i(X0),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax59) ).
fof(f183,plain,
! [X2,X0,X1] : isnonempty_slb(insert_slb(X0,pair(X1,X2))),
inference(cnf_transformation,[],[f19]) ).
fof(f19,axiom,
! [X0,X1,X2] : isnonempty_slb(insert_slb(X0,pair(X1,X2))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax19) ).
fof(f180,plain,
! [X0,X1] :
( ~ pi_sharp_find_min(X0,X1)
| issmallestelement_pq(X0,X1) ),
inference(cnf_transformation,[],[f133]) ).
fof(f179,plain,
! [X0,X1] :
( ~ pi_sharp_find_min(X0,X1)
| contains_pq(X0,X1) ),
inference(cnf_transformation,[],[f133]) ).
fof(f168,plain,
! [X0,X1] :
( less_than(X1,X0)
| less_than(X0,X1) ),
inference(cnf_transformation,[],[f2]) ).
fof(f2,axiom,
! [X0,X1] :
( less_than(X1,X0)
| less_than(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',totality) ).
fof(f157,plain,
! [X0] :
( succ_cpq(X0,sK4(X0))
| ~ phi(X0) ),
inference(cnf_transformation,[],[f127]) ).
fof(f220,plain,
! [X2,X0] : contains_pq(insert_pq(X0,X2),X2),
inference(equality_resolution,[],[f194]) ).
fof(f194,plain,
! [X2,X0,X1] :
( contains_pq(insert_pq(X0,X1),X2)
| X1 != X2 ),
inference(cnf_transformation,[],[f135]) ).
fof(f182,plain,
! [X0,X1] : ~ ok(triple(X0,X1,bad)),
inference(cnf_transformation,[],[f67]) ).
fof(f67,plain,
! [X0,X1] : ~ ok(triple(X0,X1,bad)),
inference(flattening,[],[f66]) ).
fof(f66,plain,
! [X0,X1] : ~ ok(triple(X0,X1,bad)),
inference(true_and_false_elimination,[],[f40]) ).
fof(f40,axiom,
! [X0,X1] :
( ok(triple(X0,X1,bad))
<=> $false ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax40) ).
fof(f163,plain,
! [X0,X1] : check_cpq(triple(X0,create_slb,X1)),
inference(cnf_transformation,[],[f36]) ).
fof(f36,axiom,
! [X0,X1] : check_cpq(triple(X0,create_slb,X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax36) ).
fof(f159,plain,
! [X0] :
( check_cpq(sK4(X0))
| ~ phi(X0) ),
inference(cnf_transformation,[],[f127]) ).
fof(f158,plain,
! [X0] :
( ok(sK4(X0))
| ~ phi(X0) ),
inference(cnf_transformation,[],[f127]) ).
fof(f154,plain,
! [X0] : findmin_cpq_res(X0) = removemin_cpq_res(X0),
inference(cnf_transformation,[],[f53]) ).
fof(f53,axiom,
! [X0] : findmin_cpq_res(X0) = removemin_cpq_res(X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax53) ).
fof(f153,plain,
! [X0] : create_slb = update_slb(create_slb,X0),
inference(cnf_transformation,[],[f28]) ).
fof(f28,axiom,
! [X0] : create_slb = update_slb(create_slb,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax28) ).
fof(f143,plain,
phi(findmin_cpq_eff(triple(sK0,sK1,sK2))),
inference(cnf_transformation,[],[f121]) ).
fof(f121,plain,
( ! [X3] :
( findmin_cpq_res(triple(sK0,sK1,sK2)) != findmin_pq_res(i(triple(sK0,sK1,sK2)),X3)
| ~ pi_sharp_find_min(i(triple(sK0,sK1,sK2)),X3) )
& phi(findmin_cpq_eff(triple(sK0,sK1,sK2)))
& pi_find_min(triple(sK0,sK1,sK2)) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f77,f120]) ).
fof(f120,plain,
( ? [X0,X1,X2] :
( ! [X3] :
( findmin_cpq_res(triple(X0,X1,X2)) != findmin_pq_res(i(triple(X0,X1,X2)),X3)
| ~ pi_sharp_find_min(i(triple(X0,X1,X2)),X3) )
& phi(findmin_cpq_eff(triple(X0,X1,X2)))
& pi_find_min(triple(X0,X1,X2)) )
=> ( ! [X3] :
( findmin_cpq_res(triple(sK0,sK1,sK2)) != findmin_pq_res(i(triple(sK0,sK1,sK2)),X3)
| ~ pi_sharp_find_min(i(triple(sK0,sK1,sK2)),X3) )
& phi(findmin_cpq_eff(triple(sK0,sK1,sK2)))
& pi_find_min(triple(sK0,sK1,sK2)) ) ),
introduced(choice_axiom,[]) ).
fof(f77,plain,
? [X0,X1,X2] :
( ! [X3] :
( findmin_cpq_res(triple(X0,X1,X2)) != findmin_pq_res(i(triple(X0,X1,X2)),X3)
| ~ pi_sharp_find_min(i(triple(X0,X1,X2)),X3) )
& phi(findmin_cpq_eff(triple(X0,X1,X2)))
& pi_find_min(triple(X0,X1,X2)) ),
inference(flattening,[],[f76]) ).
fof(f76,plain,
? [X0,X1,X2] :
( ! [X3] :
( findmin_cpq_res(triple(X0,X1,X2)) != findmin_pq_res(i(triple(X0,X1,X2)),X3)
| ~ pi_sharp_find_min(i(triple(X0,X1,X2)),X3) )
& phi(findmin_cpq_eff(triple(X0,X1,X2)))
& pi_find_min(triple(X0,X1,X2)) ),
inference(ennf_transformation,[],[f65]) ).
fof(f65,negated_conjecture,
~ ! [X0,X1,X2] :
( pi_find_min(triple(X0,X1,X2))
=> ( phi(findmin_cpq_eff(triple(X0,X1,X2)))
=> ? [X3] :
( findmin_cpq_res(triple(X0,X1,X2)) = findmin_pq_res(i(triple(X0,X1,X2)),X3)
& pi_sharp_find_min(i(triple(X0,X1,X2)),X3) ) ) ),
inference(negated_conjecture,[],[f64]) ).
fof(f64,conjecture,
! [X0,X1,X2] :
( pi_find_min(triple(X0,X1,X2))
=> ( phi(findmin_cpq_eff(triple(X0,X1,X2)))
=> ? [X3] :
( findmin_cpq_res(triple(X0,X1,X2)) = findmin_pq_res(i(triple(X0,X1,X2)),X3)
& pi_sharp_find_min(i(triple(X0,X1,X2)),X3) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co4) ).
fof(f162,plain,
! [X0,X1] : isnonempty_pq(insert_pq(X0,X1)),
inference(cnf_transformation,[],[f7]) ).
fof(f7,axiom,
! [X0,X1] : isnonempty_pq(insert_pq(X0,X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax7) ).
fof(f161,plain,
! [X0,X1] : ~ pair_in_list(create_slb,X0,X1),
inference(cnf_transformation,[],[f22]) ).
fof(f22,axiom,
! [X0,X1] : ~ pair_in_list(create_slb,X0,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax22) ).
fof(f142,plain,
pi_find_min(triple(sK0,sK1,sK2)),
inference(cnf_transformation,[],[f121]) ).
fof(f152,plain,
! [X0] : less_than(bottom,X0),
inference(cnf_transformation,[],[f5]) ).
fof(f5,axiom,
! [X0] : less_than(bottom,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',bottom_smallest) ).
fof(f151,plain,
! [X0] : less_than(X0,X0),
inference(cnf_transformation,[],[f3]) ).
fof(f3,axiom,
! [X0] : less_than(X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',reflexivity) ).
fof(f150,plain,
! [X0] : succ_cpq(X0,X0),
inference(cnf_transformation,[],[f31]) ).
fof(f31,axiom,
! [X0] : succ_cpq(X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax31) ).
fof(f149,plain,
! [X0] : ~ contains_slb(create_slb,X0),
inference(cnf_transformation,[],[f20]) ).
fof(f20,axiom,
! [X0] : ~ contains_slb(create_slb,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax20) ).
fof(f148,plain,
! [X0] : ~ contains_pq(create_pq,X0),
inference(cnf_transformation,[],[f8]) ).
fof(f8,axiom,
! [X0] : ~ contains_pq(create_pq,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax8) ).
fof(f147,plain,
~ isnonempty_slb(create_slb),
inference(cnf_transformation,[],[f18]) ).
fof(f18,axiom,
~ isnonempty_slb(create_slb),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax18) ).
fof(f146,plain,
~ isnonempty_pq(create_pq),
inference(cnf_transformation,[],[f6]) ).
fof(f6,axiom,
~ isnonempty_pq(create_pq),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax6) ).
fof(f203,plain,
! [X2,X0,X1] :
( findmin_cpq_eff(triple(X0,X1,X2)) = triple(X0,update_slb(X1,findmin_pqp_res(X0)),bad)
| ~ strictly_less_than(findmin_pqp_res(X0),lookup_slb(X1,findmin_pqp_res(X0)))
| ~ contains_slb(X1,findmin_pqp_res(X0))
| create_slb = X1 ),
inference(cnf_transformation,[],[f111]) ).
fof(f111,plain,
! [X0,X1,X2] :
( findmin_cpq_eff(triple(X0,X1,X2)) = triple(X0,update_slb(X1,findmin_pqp_res(X0)),bad)
| ~ strictly_less_than(findmin_pqp_res(X0),lookup_slb(X1,findmin_pqp_res(X0)))
| ~ contains_slb(X1,findmin_pqp_res(X0))
| create_slb = X1 ),
inference(flattening,[],[f110]) ).
fof(f110,plain,
! [X0,X1,X2] :
( findmin_cpq_eff(triple(X0,X1,X2)) = triple(X0,update_slb(X1,findmin_pqp_res(X0)),bad)
| ~ strictly_less_than(findmin_pqp_res(X0),lookup_slb(X1,findmin_pqp_res(X0)))
| ~ contains_slb(X1,findmin_pqp_res(X0))
| create_slb = X1 ),
inference(ennf_transformation,[],[f70]) ).
fof(f70,plain,
! [X0,X1,X2] :
( ( strictly_less_than(findmin_pqp_res(X0),lookup_slb(X1,findmin_pqp_res(X0)))
& contains_slb(X1,findmin_pqp_res(X0))
& create_slb != X1 )
=> findmin_cpq_eff(triple(X0,X1,X2)) = triple(X0,update_slb(X1,findmin_pqp_res(X0)),bad) ),
inference(rectify,[],[f48]) ).
fof(f48,axiom,
! [X0,X1,X2,X3] :
( ( strictly_less_than(findmin_pqp_res(X0),lookup_slb(X1,findmin_pqp_res(X0)))
& contains_slb(X1,findmin_pqp_res(X0))
& create_slb != X1 )
=> findmin_cpq_eff(triple(X0,X1,X2)) = triple(X0,update_slb(X1,findmin_pqp_res(X0)),bad) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax48) ).
fof(f175,plain,
! [X0,X1] :
( strictly_less_than(X0,X1)
| less_than(X1,X0)
| ~ less_than(X0,X1) ),
inference(cnf_transformation,[],[f91]) ).
fof(f91,plain,
! [X0,X1] :
( strictly_less_than(X0,X1)
| less_than(X1,X0)
| ~ less_than(X0,X1) ),
inference(flattening,[],[f90]) ).
fof(f90,plain,
! [X0,X1] :
( strictly_less_than(X0,X1)
| less_than(X1,X0)
| ~ less_than(X0,X1) ),
inference(ennf_transformation,[],[f75]) ).
fof(f75,plain,
! [X0,X1] :
( ( ~ less_than(X1,X0)
& less_than(X0,X1) )
=> strictly_less_than(X0,X1) ),
inference(unused_predicate_definition_removal,[],[f4]) ).
fof(f4,axiom,
! [X0,X1] :
( strictly_less_than(X0,X1)
<=> ( ~ less_than(X1,X0)
& less_than(X0,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',stricly_smaller_definition) ).
fof(f144,plain,
! [X3] :
( findmin_cpq_res(triple(sK0,sK1,sK2)) != findmin_pq_res(i(triple(sK0,sK1,sK2)),X3)
| ~ pi_sharp_find_min(i(triple(sK0,sK1,sK2)),X3) ),
inference(cnf_transformation,[],[f121]) ).
fof(f2564,plain,
( ~ spl6_5
| ~ spl6_7 ),
inference(avatar_contradiction_clause,[],[f2563]) ).
fof(f2563,plain,
( $false
| ~ spl6_5
| ~ spl6_7 ),
inference(subsumption_resolution,[],[f2562,f148]) ).
fof(f2562,plain,
( contains_pq(create_pq,bottom)
| ~ spl6_5
| ~ spl6_7 ),
inference(forward_demodulation,[],[f2561,f165]) ).
fof(f2561,plain,
( contains_pq(i(triple(sK0,create_slb,sK2)),bottom)
| ~ spl6_5
| ~ spl6_7 ),
inference(forward_demodulation,[],[f2542,f164]) ).
fof(f2542,plain,
( contains_pq(i(triple(sK0,create_slb,sK2)),findmin_cpq_res(triple(sK0,create_slb,sK2)))
| ~ spl6_5
| ~ spl6_7 ),
inference(superposition,[],[f2492,f2527]) ).
fof(f2527,plain,
( create_slb = sK1
| ~ spl6_7 ),
inference(avatar_component_clause,[],[f2525]) ).
fof(f2492,plain,
( contains_pq(i(triple(sK0,sK1,sK2)),findmin_cpq_res(triple(sK0,sK1,sK2)))
| ~ spl6_5 ),
inference(resolution,[],[f2479,f179]) ).
fof(f2479,plain,
( pi_sharp_find_min(i(triple(sK0,sK1,sK2)),findmin_cpq_res(triple(sK0,sK1,sK2)))
| ~ spl6_5 ),
inference(avatar_component_clause,[],[f2478]) ).
fof(f2478,plain,
( spl6_5
<=> pi_sharp_find_min(i(triple(sK0,sK1,sK2)),findmin_cpq_res(triple(sK0,sK1,sK2))) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_5])]) ).
fof(f2558,plain,
( spl6_1
| ~ spl6_5
| ~ spl6_7 ),
inference(avatar_contradiction_clause,[],[f2557]) ).
fof(f2557,plain,
( $false
| spl6_1
| ~ spl6_5
| ~ spl6_7 ),
inference(subsumption_resolution,[],[f2556,f749]) ).
fof(f749,plain,
( ~ pi_sharp_find_min(create_pq,bottom)
| spl6_1 ),
inference(avatar_component_clause,[],[f748]) ).
fof(f748,plain,
( spl6_1
<=> pi_sharp_find_min(create_pq,bottom) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_1])]) ).
fof(f2556,plain,
( pi_sharp_find_min(create_pq,bottom)
| ~ spl6_5
| ~ spl6_7 ),
inference(forward_demodulation,[],[f2555,f165]) ).
fof(f2555,plain,
( pi_sharp_find_min(i(triple(sK0,create_slb,sK2)),bottom)
| ~ spl6_5
| ~ spl6_7 ),
inference(forward_demodulation,[],[f2539,f164]) ).
fof(f2539,plain,
( pi_sharp_find_min(i(triple(sK0,create_slb,sK2)),findmin_cpq_res(triple(sK0,create_slb,sK2)))
| ~ spl6_5
| ~ spl6_7 ),
inference(superposition,[],[f2479,f2527]) ).
fof(f2547,plain,
( ~ spl6_2
| ~ spl6_7 ),
inference(avatar_contradiction_clause,[],[f2546]) ).
fof(f2546,plain,
( $false
| ~ spl6_2
| ~ spl6_7 ),
inference(subsumption_resolution,[],[f2545,f753]) ).
fof(f753,plain,
( ! [X0] : ~ phi(triple(X0,create_slb,bad))
| ~ spl6_2 ),
inference(avatar_component_clause,[],[f752]) ).
fof(f752,plain,
( spl6_2
<=> ! [X0] : ~ phi(triple(X0,create_slb,bad)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_2])]) ).
fof(f2545,plain,
( phi(triple(sK0,create_slb,bad))
| ~ spl6_7 ),
inference(forward_demodulation,[],[f2534,f167]) ).
fof(f2534,plain,
( phi(findmin_cpq_eff(triple(sK0,create_slb,sK2)))
| ~ spl6_7 ),
inference(superposition,[],[f143,f2527]) ).
fof(f2544,plain,
~ spl6_7,
inference(avatar_contradiction_clause,[],[f2543]) ).
fof(f2543,plain,
( $false
| ~ spl6_7 ),
inference(subsumption_resolution,[],[f2533,f230]) ).
fof(f2533,plain,
( pi_find_min(triple(sK0,create_slb,sK2))
| ~ spl6_7 ),
inference(superposition,[],[f142,f2527]) ).
fof(f2532,plain,
( spl6_7
| spl6_8
| ~ spl6_5 ),
inference(avatar_split_clause,[],[f2493,f2478,f2529,f2525]) ).
fof(f2493,plain,
( pi_sharp_find_min(i(triple(sK0,sK1,sK2)),findmin_pqp_res(sK0))
| create_slb = sK1
| ~ spl6_5 ),
inference(superposition,[],[f2479,f196]) ).
fof(f2490,plain,
spl6_5,
inference(avatar_contradiction_clause,[],[f2489]) ).
fof(f2489,plain,
( $false
| spl6_5 ),
inference(subsumption_resolution,[],[f2486,f143]) ).
fof(f2486,plain,
( ~ phi(findmin_cpq_eff(triple(sK0,sK1,sK2)))
| spl6_5 ),
inference(resolution,[],[f2480,f145]) ).
fof(f2480,plain,
( ~ pi_sharp_find_min(i(triple(sK0,sK1,sK2)),findmin_cpq_res(triple(sK0,sK1,sK2)))
| spl6_5 ),
inference(avatar_component_clause,[],[f2478]) ).
fof(f2485,plain,
( ~ spl6_5
| ~ spl6_6 ),
inference(avatar_split_clause,[],[f676,f2482,f2478]) ).
fof(f2482,plain,
( spl6_6
<=> findmin_cpq_res(triple(sK0,sK1,sK2)) = sK3(triple(sK0,sK1,sK2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_6])]) ).
fof(f1526,plain,
( spl6_3
| spl6_4 ),
inference(avatar_split_clause,[],[f1516,f1524,f1521]) ).
fof(f1521,plain,
( spl6_3
<=> ! [X4,X3] :
( ~ less_than(X3,X4)
| ~ strictly_less_than(X4,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_3])]) ).
fof(f1524,plain,
( spl6_4
<=> ! [X2,X0,X1] : ~ check_cpq(triple(X0,X1,X2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_4])]) ).
fof(f754,plain,
( spl6_1
| spl6_2 ),
inference(avatar_split_clause,[],[f744,f752,f748]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.13 % Problem : SWV417+1 : TPTP v8.1.2. Released v3.3.0.
% 0.10/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.13/0.36 % Computer : n018.cluster.edu
% 0.13/0.36 % Model : x86_64 x86_64
% 0.13/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.36 % Memory : 8042.1875MB
% 0.13/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.36 % CPULimit : 300
% 0.13/0.36 % WCLimit : 300
% 0.13/0.36 % DateTime : Fri May 3 21:06:23 EDT 2024
% 0.13/0.36 % CPUTime :
% 0.13/0.36 % (25731)Running in auto input_syntax mode. Trying TPTP
% 0.13/0.38 % (25734)WARNING: value z3 for option sas not known
% 0.13/0.38 % (25736)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)
% 0.13/0.38 % (25737)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)
% 0.13/0.38 % (25734)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)
% 0.13/0.38 % (25735)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.13/0.38 % (25738)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)
% 0.13/0.38 % (25733)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.13/0.38 % (25732)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.13/0.39 TRYING [1]
% 0.13/0.39 TRYING [2]
% 0.13/0.40 TRYING [3]
% 0.13/0.42 TRYING [1]
% 0.13/0.42 TRYING [2]
% 0.19/0.46 TRYING [4]
% 0.19/0.47 TRYING [3]
% 0.19/0.51 % (25734)First to succeed.
% 0.19/0.55 % (25734)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-25731"
% 0.19/0.55 % (25734)Refutation found. Thanks to Tanya!
% 0.19/0.55 % SZS status Theorem for theBenchmark
% 0.19/0.55 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.56 % (25734)------------------------------
% 0.19/0.56 % (25734)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.19/0.56 % (25734)Termination reason: Refutation
% 0.19/0.56
% 0.19/0.56 % (25734)Memory used [KB]: 2547
% 0.19/0.56 % (25734)Time elapsed: 0.168 s
% 0.19/0.56 % (25734)Instructions burned: 390 (million)
% 0.19/0.56 % (25731)Success in time 0.192 s
%------------------------------------------------------------------------------