TSTP Solution File: SET994+1 by Vampire-SAT---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SET994+1 : TPTP v8.1.2. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n011.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Sun May 5 09:19:53 EDT 2024
% Result : Theorem 0.22s 0.42s
% Output : Refutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 30
% Number of leaves : 54
% Syntax : Number of formulae : 829 ( 116 unt; 0 def)
% Number of atoms : 2190 (1149 equ)
% Maximal formula atoms : 16 ( 2 avg)
% Number of connectives : 2525 (1164 ~;1241 |; 75 &)
% ( 13 <=>; 32 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 5 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 21 ( 19 usr; 13 prp; 0-2 aty)
% Number of functors : 18 ( 18 usr; 10 con; 0-2 aty)
% Number of variables : 1096 (1067 !; 29 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1717,plain,
$false,
inference(avatar_sat_refutation,[],[f776,f785,f786,f787,f788,f789,f1327,f1335,f1344,f1349,f1401,f1412,f1501,f1512,f1516,f1716]) ).
fof(f1716,plain,
~ spl12_4,
inference(avatar_contradiction_clause,[],[f1715]) ).
fof(f1715,plain,
( $false
| ~ spl12_4 ),
inference(subsumption_resolution,[],[f1712,f87]) ).
fof(f87,plain,
empty(empty_set),
inference(cnf_transformation,[],[f7]) ).
fof(f7,axiom,
empty(empty_set),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc1_xboole_0) ).
fof(f1712,plain,
( ~ empty(empty_set)
| ~ spl12_4 ),
inference(superposition,[],[f85,f1708]) ).
fof(f1708,plain,
( empty_set = n1
| ~ spl12_4 ),
inference(global_subsumption,[],[f88,f91,f90,f109,f110,f85,f86,f87,f89,f121,f122,f123,f124,f125,f126,f127,f128,f129,f84,f92,f102,f103,f106,f107,f111,f112,f95,f96,f101,f94,f97,f131,f133,f134,f132,f98,f99,f104,f108,f145,f141,f142,f143,f144,f113,f140,f152,f153,f154,f155,f146,f93,f100,f162,f163,f167,f182,f183,f184,f185,f174,f190,f116,f172,f200,f201,f202,f203,f192,f117,f147,f175,f177,f178,f115,f299,f301,f297,f302,f298,f300,f303,f304,f193,f195,f196,f105,f359,f361,f360,f211,f213,f383,f385,f386,f214,f400,f402,f403,f223,f417,f305,f440,f242,f442,f261,f466,f263,f490,f492,f493,f264,f512,f514,f515,f278,f535,f280,f559,f561,f562,f281,f581,f583,f584,f307,f603,f326,f627,f328,f651,f653,f654,f329,f673,f675,f676,f343,f695,f345,f719,f721,f722,f346,f741,f743,f744,f120,f533,f766,f768,f763,f765,f791,f793,f795,f798,f799,f800,f801,f802,f803,f804,f805,f806,f807,f808,f809,f810,f811,f812,f813,f814,f815,f816,f817,f818,f819,f820,f821,f767,f792,f831,f825,f832,f833,f834,f822,f119,f762,f844,f843,f849,f794,f852,f854,f855,f856,f796,f870,f872,f873,f874,f797,f888,f890,f891,f892,f823,f906,f908,f826,f926,f928,f929,f930,f827,f944,f946,f947,f948,f840,f83,f961,f970,f971,f842,f973,f978,f977,f981,f982,f986,f983,f979,f990,f989,f992,f993,f994,f995,f996,f997,f998,f999,f1000,f1001,f1002,f1003,f1004,f1005,f1006,f1007,f1008,f1009,f1010,f1011,f1012,f1013,f1014,f1015,f1016,f1017,f1018,f1019,f1020,f1021,f1022,f1023,f1024,f1025,f1026,f1027,f988,f1032,f1033,f991,f1035,f1044,f1037,f1038,f1039,f1040,f1045,f1046,f1047,f1034,f1054,f966,f1055,f1063,f1031,f1065,f1066,f1073,f1070,f1067,f1060,f1083,f1085,f1087,f1090,f1091,f1092,f1093,f1095,f1062,f1126,f1107,f1108,f1109,f1110,f1112,f1115,f1116,f1117,f1118,f1121,f1082,f1232,f1233,f1229,f1136,f1234,f1140,f1141,f1236,f1237,f1238,f1239,f1240,f1241,f1242,f1243,f1244,f1245,f1246,f1247,f1248,f1249,f1250,f1251,f1252,f1253,f1254,f1255,f1256,f1257,f1258,f1169,f1170,f1261,f1262,f1263,f1264,f1265,f1266,f1267,f1268,f1269,f1270,f1271,f1272,f1273,f1274,f1275,f1276,f1277,f1278,f1279,f1280,f1282,f1283,f1284,f1286,f1287,f1288,f1289,f1290,f1292,f1293,f1294,f1296,f1297,f1298,f1299,f1300,f1213,f1214,f1215,f1301,f1304,f1305,f1306,f1307,f1223,f1308,f1134,f968,f1235,f1295,f1302,f1303,f1320,f1354,f1359,f1362,f1368,f1371,f1389,f1377,f1388,f1374,f1373,f1365,f1364,f1281,f1084,f362,f1413,f1414,f1415,f1416,f1417,f1418,f1419,f1420,f1421,f1422,f1423,f1424,f1425,f1426,f1427,f1428,f1429,f1430,f1431,f1432,f1433,f1434,f1435,f1436,f1437,f1438,f1439,f1440,f1441,f1442,f1443,f1444,f1445,f1446,f1447,f1448,f1449,f1450,f1451,f1452,f1454,f1455,f1456,f1457,f1458,f1328,f1326,f1514,f1532,f1531,f1453,f1534,f1537,f1535,f1538,f364,f1540,f1542,f1544,f1545,f1459,f1567,f1570,f1568,f1572,f1573,f1460,f1575,f1578,f1579,f1576,f1580,f1581,f1571,f1591,f1588,f769,f1592,f1593,f1594,f1595,f1596,f1597,f1598,f1599,f1600,f1601,f1602,f1603,f1604,f1605,f1606,f1607,f1608,f1609,f1610,f1611,f1612,f1613,f1614,f1615,f1616,f1617,f1618,f1619,f1620,f1621,f1622,f1623,f1624,f1625,f1626,f1627,f1628,f1629,f1630,f1631,f1632,f1635,f1637,f1638,f1640,f1641,f1634,f1650,f1649,f1648,f1633,f1652,f1656,f1653,f1657,f1654,f1658,f1642,f1660,f1664,f1661,f1666,f1667,f1662,f1668,f1643,f1671,f1675,f1676,f1672,f1677,f1678,f1673,f1679,f1680,f1665,f1688,f1687,f1669,f1704,f1703]) ).
fof(f1703,plain,
( ! [X0] :
( empty_set = n1
| sK0 != X0 )
| ~ spl12_4 ),
inference(duplicate_literal_removal,[],[f1697]) ).
fof(f1697,plain,
( ! [X0] :
( empty_set = n1
| sK0 != X0
| sK0 != X0 )
| ~ spl12_4 ),
inference(superposition,[],[f1669,f1571]) ).
fof(f1704,plain,
( empty_set = n1
| ~ spl12_4 ),
inference(trivial_inequality_removal,[],[f1696]) ).
fof(f1696,plain,
( empty_set = n1
| sK0 != sK0
| ~ spl12_4 ),
inference(superposition,[],[f1669,f1514]) ).
fof(f1669,plain,
( ! [X0] :
( empty_set = apply(sK3(X0),sK2(sK0))
| sK0 != X0 )
| ~ spl12_4 ),
inference(global_subsumption,[],[f88,f91,f90,f109,f110,f85,f86,f87,f89,f121,f122,f123,f124,f125,f126,f127,f128,f129,f84,f92,f102,f103,f106,f107,f111,f112,f95,f96,f101,f94,f97,f131,f133,f134,f132,f98,f99,f104,f108,f145,f141,f142,f143,f144,f113,f140,f152,f153,f154,f155,f146,f93,f100,f162,f163,f167,f182,f183,f184,f185,f174,f190,f116,f172,f200,f201,f202,f203,f192,f117,f147,f175,f177,f178,f115,f299,f301,f297,f302,f298,f300,f303,f304,f193,f195,f196,f105,f359,f361,f360,f211,f213,f383,f385,f386,f214,f400,f402,f403,f223,f417,f305,f440,f242,f442,f261,f466,f263,f490,f492,f493,f264,f512,f514,f515,f278,f535,f280,f559,f561,f562,f281,f581,f583,f584,f307,f603,f326,f627,f328,f651,f653,f654,f329,f673,f675,f676,f343,f695,f345,f719,f721,f722,f346,f741,f743,f744,f120,f533,f766,f768,f763,f765,f791,f793,f795,f798,f799,f800,f801,f802,f803,f804,f805,f806,f807,f808,f809,f810,f811,f812,f813,f814,f815,f816,f817,f818,f819,f820,f821,f767,f792,f831,f825,f832,f833,f834,f822,f119,f762,f844,f843,f849,f794,f852,f854,f855,f856,f796,f870,f872,f873,f874,f797,f888,f890,f891,f892,f823,f906,f908,f826,f926,f928,f929,f930,f827,f944,f946,f947,f948,f840,f83,f961,f970,f971,f842,f973,f978,f977,f981,f982,f986,f983,f979,f990,f989,f992,f993,f994,f995,f996,f997,f998,f999,f1000,f1001,f1002,f1003,f1004,f1005,f1006,f1007,f1008,f1009,f1010,f1011,f1012,f1013,f1014,f1015,f1016,f1017,f1018,f1019,f1020,f1021,f1022,f1023,f1024,f1025,f1026,f1027,f988,f1032,f1033,f991,f1035,f1044,f1037,f1038,f1039,f1040,f1045,f1046,f1047,f1034,f1054,f966,f1055,f1063,f1031,f1065,f1066,f1073,f1070,f1067,f1060,f1083,f1085,f1087,f1090,f1091,f1092,f1093,f1095,f1062,f1126,f1107,f1108,f1109,f1110,f1112,f1115,f1116,f1117,f1118,f1121,f1082,f1232,f1233,f1229,f1136,f1234,f1140,f1141,f1236,f1237,f1238,f1239,f1240,f1241,f1242,f1243,f1244,f1245,f1246,f1247,f1248,f1249,f1250,f1251,f1252,f1253,f1254,f1255,f1256,f1257,f1258,f1169,f1170,f1261,f1262,f1263,f1264,f1265,f1266,f1267,f1268,f1269,f1270,f1271,f1272,f1273,f1274,f1275,f1276,f1277,f1278,f1279,f1280,f1282,f1283,f1284,f1286,f1287,f1288,f1289,f1290,f1292,f1293,f1294,f1296,f1297,f1298,f1299,f1300,f1213,f1214,f1215,f1301,f1304,f1305,f1306,f1307,f1223,f1308,f1134,f968,f1235,f1295,f1302,f1303,f1320,f1354,f1359,f1362,f1368,f1371,f1389,f1377,f1388,f1374,f1373,f1365,f1364,f1281,f1084,f362,f1413,f1414,f1415,f1416,f1417,f1418,f1419,f1420,f1421,f1422,f1423,f1424,f1425,f1426,f1427,f1428,f1429,f1430,f1431,f1432,f1433,f1434,f1435,f1436,f1437,f1438,f1439,f1440,f1441,f1442,f1443,f1444,f1445,f1446,f1447,f1448,f1449,f1450,f1451,f1452,f1454,f1455,f1456,f1457,f1458,f1328,f1326,f1514,f1532,f1531,f1453,f1534,f1537,f1535,f1538,f364,f1540,f1542,f1544,f1545,f1459,f1567,f1570,f1568,f1572,f1573,f1460,f1575,f1578,f1579,f1576,f1580,f1581,f1571,f1591,f1588,f769,f1592,f1593,f1594,f1595,f1596,f1597,f1598,f1599,f1600,f1601,f1602,f1603,f1604,f1605,f1606,f1607,f1608,f1609,f1610,f1611,f1612,f1613,f1614,f1615,f1616,f1617,f1618,f1619,f1620,f1621,f1622,f1623,f1624,f1625,f1626,f1627,f1628,f1629,f1630,f1631,f1632,f1635,f1637,f1638,f1640,f1641,f1643,f1634,f1650,f1649,f1648,f1633,f1652,f1656,f1653,f1657,f1654,f1658,f1642,f1660,f1664,f1665,f1661,f1666,f1667,f1662,f1668]) ).
fof(f1687,plain,
( ! [X0,X1] :
( empty_set = relation_dom(sK3(X1))
| sK0 != X0
| sK0 != apply(sK4(X0),sK2(sK0))
| sK0 != X1 )
| ~ spl12_4 ),
inference(superposition,[],[f1665,f1082]) ).
fof(f1688,plain,
( ! [X0,X1] :
( empty_set = apply(sK3(X1),sK2(sK0))
| sK0 != X0
| sK0 != X1 )
| ~ spl12_4 ),
inference(duplicate_literal_removal,[],[f1685]) ).
fof(f1685,plain,
( ! [X0,X1] :
( empty_set = apply(sK3(X1),sK2(sK0))
| sK0 != X0
| sK0 != X0
| sK0 != X1 )
| ~ spl12_4 ),
inference(superposition,[],[f1665,f1062]) ).
fof(f1665,plain,
( ! [X0] :
( empty_set = apply(sK4(X0),sK2(sK0))
| sK0 != X0 )
| ~ spl12_4 ),
inference(global_subsumption,[],[f88,f91,f90,f109,f110,f85,f86,f87,f89,f121,f122,f123,f124,f125,f126,f127,f128,f129,f84,f92,f102,f103,f106,f107,f111,f112,f95,f96,f101,f94,f97,f131,f133,f134,f132,f98,f99,f104,f108,f145,f141,f142,f143,f144,f113,f140,f152,f153,f154,f155,f146,f93,f100,f162,f163,f167,f182,f183,f184,f185,f174,f190,f116,f172,f200,f201,f202,f203,f192,f117,f147,f175,f177,f178,f115,f299,f301,f297,f302,f298,f300,f303,f304,f193,f195,f196,f105,f359,f361,f360,f211,f213,f383,f385,f386,f214,f400,f402,f403,f223,f417,f305,f440,f242,f442,f261,f466,f263,f490,f492,f493,f264,f512,f514,f515,f278,f535,f280,f559,f561,f562,f281,f581,f583,f584,f307,f603,f326,f627,f328,f651,f653,f654,f329,f673,f675,f676,f343,f695,f345,f719,f721,f722,f346,f741,f743,f744,f120,f533,f766,f768,f763,f765,f791,f793,f795,f798,f799,f800,f801,f802,f803,f804,f805,f806,f807,f808,f809,f810,f811,f812,f813,f814,f815,f816,f817,f818,f819,f820,f821,f767,f792,f831,f825,f832,f833,f834,f822,f119,f762,f844,f843,f849,f794,f852,f854,f855,f856,f796,f870,f872,f873,f874,f797,f888,f890,f891,f892,f823,f906,f908,f826,f926,f928,f929,f930,f827,f944,f946,f947,f948,f840,f83,f961,f970,f971,f842,f973,f978,f977,f981,f982,f986,f983,f979,f990,f989,f992,f993,f994,f995,f996,f997,f998,f999,f1000,f1001,f1002,f1003,f1004,f1005,f1006,f1007,f1008,f1009,f1010,f1011,f1012,f1013,f1014,f1015,f1016,f1017,f1018,f1019,f1020,f1021,f1022,f1023,f1024,f1025,f1026,f1027,f988,f1032,f1033,f991,f1035,f1044,f1037,f1038,f1039,f1040,f1045,f1046,f1047,f1034,f1054,f966,f1055,f1063,f1031,f1065,f1066,f1073,f1070,f1067,f1060,f1083,f1085,f1087,f1090,f1091,f1092,f1093,f1095,f1062,f1126,f1107,f1108,f1109,f1110,f1112,f1115,f1116,f1117,f1118,f1121,f1082,f1232,f1233,f1229,f1136,f1234,f1140,f1141,f1236,f1237,f1238,f1239,f1240,f1241,f1242,f1243,f1244,f1245,f1246,f1247,f1248,f1249,f1250,f1251,f1252,f1253,f1254,f1255,f1256,f1257,f1258,f1169,f1170,f1261,f1262,f1263,f1264,f1265,f1266,f1267,f1268,f1269,f1270,f1271,f1272,f1273,f1274,f1275,f1276,f1277,f1278,f1279,f1280,f1282,f1283,f1284,f1286,f1287,f1288,f1289,f1290,f1292,f1293,f1294,f1296,f1297,f1298,f1299,f1300,f1213,f1214,f1215,f1301,f1304,f1305,f1306,f1307,f1223,f1308,f1134,f968,f1235,f1295,f1302,f1303,f1320,f1354,f1359,f1362,f1368,f1371,f1389,f1377,f1388,f1374,f1373,f1365,f1364,f1281,f1084,f362,f1413,f1414,f1415,f1416,f1417,f1418,f1419,f1420,f1421,f1422,f1423,f1424,f1425,f1426,f1427,f1428,f1429,f1430,f1431,f1432,f1433,f1434,f1435,f1436,f1437,f1438,f1439,f1440,f1441,f1442,f1443,f1444,f1445,f1446,f1447,f1448,f1449,f1450,f1451,f1452,f1454,f1455,f1456,f1457,f1458,f1328,f1326,f1514,f1532,f1531,f1453,f1534,f1537,f1535,f1538,f364,f1540,f1542,f1544,f1545,f1459,f1567,f1570,f1568,f1572,f1573,f1460,f1575,f1578,f1579,f1576,f1580,f1581,f1571,f1591,f1588,f769,f1592,f1593,f1594,f1595,f1596,f1597,f1598,f1599,f1600,f1601,f1602,f1603,f1604,f1605,f1606,f1607,f1608,f1609,f1610,f1611,f1612,f1613,f1614,f1615,f1616,f1617,f1618,f1619,f1620,f1621,f1622,f1623,f1624,f1625,f1626,f1627,f1628,f1629,f1630,f1631,f1632,f1635,f1637,f1638,f1640,f1641,f1643,f1634,f1650,f1649,f1648,f1633,f1652,f1656,f1653,f1657,f1654,f1658,f1642,f1660,f1664]) ).
fof(f1680,plain,
( ! [X0] :
( empty_set = apply(sK3(X0),sK2(sK0))
| sK0 != X0 )
| ~ spl12_4 ),
inference(global_subsumption,[],[f88,f91,f90,f109,f110,f85,f86,f87,f89,f121,f122,f123,f124,f125,f126,f127,f128,f129,f84,f92,f102,f103,f106,f107,f111,f112,f95,f96,f101,f94,f97,f131,f133,f134,f132,f98,f99,f104,f108,f145,f141,f142,f143,f144,f113,f140,f152,f153,f154,f155,f146,f93,f100,f162,f163,f167,f182,f183,f184,f185,f174,f190,f116,f172,f200,f201,f202,f203,f192,f117,f147,f175,f177,f178,f115,f299,f301,f297,f302,f298,f300,f303,f304,f193,f195,f196,f105,f359,f361,f360,f211,f213,f383,f385,f386,f214,f400,f402,f403,f223,f417,f305,f440,f242,f442,f261,f466,f263,f490,f492,f493,f264,f512,f514,f515,f278,f535,f280,f559,f561,f562,f281,f581,f583,f584,f307,f603,f326,f627,f328,f651,f653,f654,f329,f673,f675,f676,f343,f695,f345,f719,f721,f722,f346,f741,f743,f744,f120,f533,f766,f768,f763,f765,f791,f793,f795,f798,f799,f800,f801,f802,f803,f804,f805,f806,f807,f808,f809,f810,f811,f812,f813,f814,f815,f816,f817,f818,f819,f820,f821,f767,f792,f831,f825,f832,f833,f834,f822,f119,f762,f844,f843,f849,f794,f852,f854,f855,f856,f796,f870,f872,f873,f874,f797,f888,f890,f891,f892,f823,f906,f908,f826,f926,f928,f929,f930,f827,f944,f946,f947,f948,f840,f83,f961,f970,f971,f842,f973,f978,f977,f981,f982,f986,f983,f979,f990,f989,f992,f993,f994,f995,f996,f997,f998,f999,f1000,f1001,f1002,f1003,f1004,f1005,f1006,f1007,f1008,f1009,f1010,f1011,f1012,f1013,f1014,f1015,f1016,f1017,f1018,f1019,f1020,f1021,f1022,f1023,f1024,f1025,f1026,f1027,f988,f1032,f1033,f991,f1035,f1044,f1037,f1038,f1039,f1040,f1045,f1046,f1047,f1034,f1054,f966,f1055,f1063,f1031,f1065,f1066,f1073,f1070,f1067,f1060,f1083,f1085,f1087,f1090,f1091,f1092,f1093,f1095,f1062,f1126,f1107,f1108,f1109,f1110,f1112,f1115,f1116,f1117,f1118,f1121,f1082,f1232,f1233,f1229,f1136,f1234,f1140,f1141,f1236,f1237,f1238,f1239,f1240,f1241,f1242,f1243,f1244,f1245,f1246,f1247,f1248,f1249,f1250,f1251,f1252,f1253,f1254,f1255,f1256,f1257,f1258,f1169,f1170,f1261,f1262,f1263,f1264,f1265,f1266,f1267,f1268,f1269,f1270,f1271,f1272,f1273,f1274,f1275,f1276,f1277,f1278,f1279,f1280,f1282,f1283,f1284,f1286,f1287,f1288,f1289,f1290,f1292,f1293,f1294,f1296,f1297,f1298,f1299,f1300,f1213,f1214,f1215,f1301,f1304,f1305,f1306,f1307,f1223,f1308,f1134,f968,f1235,f1295,f1302,f1303,f1320,f1354,f1359,f1362,f1368,f1371,f1389,f1377,f1388,f1374,f1373,f1365,f1364,f1281,f1084,f362,f1413,f1414,f1415,f1416,f1417,f1418,f1419,f1420,f1421,f1422,f1423,f1424,f1425,f1426,f1427,f1428,f1429,f1430,f1431,f1432,f1433,f1434,f1435,f1436,f1437,f1438,f1439,f1440,f1441,f1442,f1443,f1444,f1445,f1446,f1447,f1448,f1449,f1450,f1451,f1452,f1454,f1455,f1456,f1457,f1458,f1328,f1326,f1514,f1532,f1531,f1453,f1534,f1537,f1535,f1538,f364,f1540,f1542,f1544,f1545,f1459,f1567,f1570,f1568,f1572,f1573,f1460,f1575,f1578,f1579,f1576,f1580,f1581,f1571,f1591,f1588,f769,f1592,f1593,f1594,f1595,f1596,f1597,f1598,f1599,f1600,f1601,f1602,f1603,f1604,f1605,f1606,f1607,f1608,f1609,f1610,f1611,f1612,f1613,f1614,f1615,f1616,f1617,f1618,f1619,f1620,f1621,f1622,f1623,f1624,f1625,f1626,f1627,f1628,f1629,f1630,f1631,f1632,f1635,f1637,f1638,f1640,f1641,f1634,f1650,f1649,f1648,f1633,f1652,f1656,f1653,f1657,f1654,f1658,f1642,f1660,f1664,f1665,f1661,f1666,f1667,f1662,f1668,f1669,f1643,f1671,f1675,f1676,f1672,f1677,f1678,f1673,f1679]) ).
fof(f1679,plain,
! [X0] :
( empty_set = apply(sK3(X0),sK2(sK0))
| sK0 != sK8
| sK0 != X0 ),
inference(inner_rewriting,[],[f1673]) ).
fof(f1673,plain,
! [X0] :
( empty_set = apply(sK3(X0),sK2(sK8))
| sK0 != sK8
| sK0 != X0 ),
inference(superposition,[],[f1643,f1062]) ).
fof(f1678,plain,
( ! [X0] :
( empty_set = apply(sK4(X0),sK2(sK0))
| sK0 != X0 )
| ~ spl12_4 ),
inference(global_subsumption,[],[f88,f91,f90,f109,f110,f85,f86,f87,f89,f121,f122,f123,f124,f125,f126,f127,f128,f129,f84,f92,f102,f103,f106,f107,f111,f112,f95,f96,f101,f94,f97,f131,f133,f134,f132,f98,f99,f104,f108,f145,f141,f142,f143,f144,f113,f140,f152,f153,f154,f155,f146,f93,f100,f162,f163,f167,f182,f183,f184,f185,f174,f190,f116,f172,f200,f201,f202,f203,f192,f117,f147,f175,f177,f178,f115,f299,f301,f297,f302,f298,f300,f303,f304,f193,f195,f196,f105,f359,f361,f360,f211,f213,f383,f385,f386,f214,f400,f402,f403,f223,f417,f305,f440,f242,f442,f261,f466,f263,f490,f492,f493,f264,f512,f514,f515,f278,f535,f280,f559,f561,f562,f281,f581,f583,f584,f307,f603,f326,f627,f328,f651,f653,f654,f329,f673,f675,f676,f343,f695,f345,f719,f721,f722,f346,f741,f743,f744,f120,f533,f766,f768,f763,f765,f791,f793,f795,f798,f799,f800,f801,f802,f803,f804,f805,f806,f807,f808,f809,f810,f811,f812,f813,f814,f815,f816,f817,f818,f819,f820,f821,f767,f792,f831,f825,f832,f833,f834,f822,f119,f762,f844,f843,f849,f794,f852,f854,f855,f856,f796,f870,f872,f873,f874,f797,f888,f890,f891,f892,f823,f906,f908,f826,f926,f928,f929,f930,f827,f944,f946,f947,f948,f840,f83,f961,f970,f971,f842,f973,f978,f977,f981,f982,f986,f983,f979,f990,f989,f992,f993,f994,f995,f996,f997,f998,f999,f1000,f1001,f1002,f1003,f1004,f1005,f1006,f1007,f1008,f1009,f1010,f1011,f1012,f1013,f1014,f1015,f1016,f1017,f1018,f1019,f1020,f1021,f1022,f1023,f1024,f1025,f1026,f1027,f988,f1032,f1033,f991,f1035,f1044,f1037,f1038,f1039,f1040,f1045,f1046,f1047,f1034,f1054,f966,f1055,f1063,f1031,f1065,f1066,f1073,f1070,f1067,f1060,f1083,f1085,f1087,f1090,f1091,f1092,f1093,f1095,f1062,f1126,f1107,f1108,f1109,f1110,f1112,f1115,f1116,f1117,f1118,f1121,f1082,f1232,f1233,f1229,f1136,f1234,f1140,f1141,f1236,f1237,f1238,f1239,f1240,f1241,f1242,f1243,f1244,f1245,f1246,f1247,f1248,f1249,f1250,f1251,f1252,f1253,f1254,f1255,f1256,f1257,f1258,f1169,f1170,f1261,f1262,f1263,f1264,f1265,f1266,f1267,f1268,f1269,f1270,f1271,f1272,f1273,f1274,f1275,f1276,f1277,f1278,f1279,f1280,f1282,f1283,f1284,f1286,f1287,f1288,f1289,f1290,f1292,f1293,f1294,f1296,f1297,f1298,f1299,f1300,f1213,f1214,f1215,f1301,f1304,f1305,f1306,f1307,f1223,f1308,f1134,f968,f1235,f1295,f1302,f1303,f1320,f1354,f1359,f1362,f1368,f1371,f1389,f1377,f1388,f1374,f1373,f1365,f1364,f1281,f1084,f362,f1413,f1414,f1415,f1416,f1417,f1418,f1419,f1420,f1421,f1422,f1423,f1424,f1425,f1426,f1427,f1428,f1429,f1430,f1431,f1432,f1433,f1434,f1435,f1436,f1437,f1438,f1439,f1440,f1441,f1442,f1443,f1444,f1445,f1446,f1447,f1448,f1449,f1450,f1451,f1452,f1454,f1455,f1456,f1457,f1458,f1328,f1326,f1514,f1532,f1531,f1453,f1534,f1537,f1535,f1538,f364,f1540,f1542,f1544,f1545,f1459,f1567,f1570,f1568,f1572,f1573,f1460,f1575,f1578,f1579,f1576,f1580,f1581,f1571,f1591,f1588,f769,f1592,f1593,f1594,f1595,f1596,f1597,f1598,f1599,f1600,f1601,f1602,f1603,f1604,f1605,f1606,f1607,f1608,f1609,f1610,f1611,f1612,f1613,f1614,f1615,f1616,f1617,f1618,f1619,f1620,f1621,f1622,f1623,f1624,f1625,f1626,f1627,f1628,f1629,f1630,f1631,f1632,f1635,f1637,f1638,f1640,f1641,f1634,f1650,f1649,f1648,f1633,f1652,f1656,f1653,f1657,f1654,f1658,f1642,f1660,f1664,f1665,f1661,f1666,f1667,f1662,f1668,f1669,f1643,f1671,f1675,f1676,f1672,f1677]) ).
fof(f1677,plain,
! [X0] :
( empty_set = apply(sK4(X0),sK2(sK0))
| sK0 != sK8
| sK0 != X0 ),
inference(inner_rewriting,[],[f1672]) ).
fof(f1672,plain,
! [X0] :
( empty_set = apply(sK4(X0),sK2(sK8))
| sK0 != sK8
| sK0 != X0 ),
inference(superposition,[],[f1643,f1320]) ).
fof(f1676,plain,
( ! [X0] :
( empty_set = apply(sK4(X0),sK2(sK0))
| sK0 != X0 )
| ~ spl12_4 ),
inference(global_subsumption,[],[f88,f91,f90,f109,f110,f85,f86,f87,f89,f121,f122,f123,f124,f125,f126,f127,f128,f129,f84,f92,f102,f103,f106,f107,f111,f112,f95,f96,f101,f94,f97,f131,f133,f134,f132,f98,f99,f104,f108,f145,f141,f142,f143,f144,f113,f140,f152,f153,f154,f155,f146,f93,f100,f162,f163,f167,f182,f183,f184,f185,f174,f190,f116,f172,f200,f201,f202,f203,f192,f117,f147,f175,f177,f178,f115,f299,f301,f297,f302,f298,f300,f303,f304,f193,f195,f196,f105,f359,f361,f360,f211,f213,f383,f385,f386,f214,f400,f402,f403,f223,f417,f305,f440,f242,f442,f261,f466,f263,f490,f492,f493,f264,f512,f514,f515,f278,f535,f280,f559,f561,f562,f281,f581,f583,f584,f307,f603,f326,f627,f328,f651,f653,f654,f329,f673,f675,f676,f343,f695,f345,f719,f721,f722,f346,f741,f743,f744,f120,f533,f766,f768,f763,f765,f791,f793,f795,f798,f799,f800,f801,f802,f803,f804,f805,f806,f807,f808,f809,f810,f811,f812,f813,f814,f815,f816,f817,f818,f819,f820,f821,f767,f792,f831,f825,f832,f833,f834,f822,f119,f762,f844,f843,f849,f794,f852,f854,f855,f856,f796,f870,f872,f873,f874,f797,f888,f890,f891,f892,f823,f906,f908,f826,f926,f928,f929,f930,f827,f944,f946,f947,f948,f840,f83,f961,f970,f971,f842,f973,f978,f977,f981,f982,f986,f983,f979,f990,f989,f992,f993,f994,f995,f996,f997,f998,f999,f1000,f1001,f1002,f1003,f1004,f1005,f1006,f1007,f1008,f1009,f1010,f1011,f1012,f1013,f1014,f1015,f1016,f1017,f1018,f1019,f1020,f1021,f1022,f1023,f1024,f1025,f1026,f1027,f988,f1032,f1033,f991,f1035,f1044,f1037,f1038,f1039,f1040,f1045,f1046,f1047,f1034,f1054,f966,f1055,f1063,f1031,f1065,f1066,f1073,f1070,f1067,f1060,f1083,f1085,f1087,f1090,f1091,f1092,f1093,f1095,f1062,f1126,f1107,f1108,f1109,f1110,f1112,f1115,f1116,f1117,f1118,f1121,f1082,f1232,f1233,f1229,f1136,f1234,f1140,f1141,f1236,f1237,f1238,f1239,f1240,f1241,f1242,f1243,f1244,f1245,f1246,f1247,f1248,f1249,f1250,f1251,f1252,f1253,f1254,f1255,f1256,f1257,f1258,f1169,f1170,f1261,f1262,f1263,f1264,f1265,f1266,f1267,f1268,f1269,f1270,f1271,f1272,f1273,f1274,f1275,f1276,f1277,f1278,f1279,f1280,f1282,f1283,f1284,f1286,f1287,f1288,f1289,f1290,f1292,f1293,f1294,f1296,f1297,f1298,f1299,f1300,f1213,f1214,f1215,f1301,f1304,f1305,f1306,f1307,f1223,f1308,f1134,f968,f1235,f1295,f1302,f1303,f1320,f1354,f1359,f1362,f1368,f1371,f1389,f1377,f1388,f1374,f1373,f1365,f1364,f1281,f1084,f362,f1413,f1414,f1415,f1416,f1417,f1418,f1419,f1420,f1421,f1422,f1423,f1424,f1425,f1426,f1427,f1428,f1429,f1430,f1431,f1432,f1433,f1434,f1435,f1436,f1437,f1438,f1439,f1440,f1441,f1442,f1443,f1444,f1445,f1446,f1447,f1448,f1449,f1450,f1451,f1452,f1454,f1455,f1456,f1457,f1458,f1328,f1326,f1514,f1532,f1531,f1453,f1534,f1537,f1535,f1538,f364,f1540,f1542,f1544,f1545,f1459,f1567,f1570,f1568,f1572,f1573,f1460,f1575,f1578,f1579,f1576,f1580,f1581,f1571,f1591,f1588,f769,f1592,f1593,f1594,f1595,f1596,f1597,f1598,f1599,f1600,f1601,f1602,f1603,f1604,f1605,f1606,f1607,f1608,f1609,f1610,f1611,f1612,f1613,f1614,f1615,f1616,f1617,f1618,f1619,f1620,f1621,f1622,f1623,f1624,f1625,f1626,f1627,f1628,f1629,f1630,f1631,f1632,f1635,f1637,f1638,f1640,f1641,f1634,f1650,f1649,f1648,f1633,f1652,f1656,f1653,f1657,f1654,f1658,f1642,f1660,f1664,f1665,f1661,f1666,f1667,f1662,f1668,f1669,f1643,f1671,f1675]) ).
fof(f1675,plain,
! [X0] :
( empty_set = apply(sK4(X0),sK2(sK0))
| sK0 != X0
| sK0 != sK8 ),
inference(inner_rewriting,[],[f1671]) ).
fof(f1671,plain,
! [X0] :
( empty_set = apply(sK4(X0),sK2(sK8))
| sK0 != X0
| sK0 != sK8 ),
inference(superposition,[],[f1643,f1320]) ).
fof(f1643,plain,
empty_set = apply(sK4(sK8),sK2(sK8)),
inference(resolution,[],[f769,f123]) ).
fof(f1668,plain,
! [X0] :
( empty_set = apply(sK3(X0),sK2(sK0))
| sK0 != sK6
| sK0 != X0 ),
inference(inner_rewriting,[],[f1662]) ).
fof(f1662,plain,
! [X0] :
( empty_set = apply(sK3(X0),sK2(sK6))
| sK0 != sK6
| sK0 != X0 ),
inference(superposition,[],[f1642,f1062]) ).
fof(f1667,plain,
( ! [X0] :
( empty_set = apply(sK4(X0),sK2(sK0))
| sK0 != X0 )
| ~ spl12_4 ),
inference(global_subsumption,[],[f88,f91,f90,f109,f110,f85,f86,f87,f89,f121,f122,f123,f124,f125,f126,f127,f128,f129,f84,f92,f102,f103,f106,f107,f111,f112,f95,f96,f101,f94,f97,f131,f133,f134,f132,f98,f99,f104,f108,f145,f141,f142,f143,f144,f113,f140,f152,f153,f154,f155,f146,f93,f100,f162,f163,f167,f182,f183,f184,f185,f174,f190,f116,f172,f200,f201,f202,f203,f192,f117,f147,f175,f177,f178,f115,f299,f301,f297,f302,f298,f300,f303,f304,f193,f195,f196,f105,f359,f361,f360,f211,f213,f383,f385,f386,f214,f400,f402,f403,f223,f417,f305,f440,f242,f442,f261,f466,f263,f490,f492,f493,f264,f512,f514,f515,f278,f535,f280,f559,f561,f562,f281,f581,f583,f584,f307,f603,f326,f627,f328,f651,f653,f654,f329,f673,f675,f676,f343,f695,f345,f719,f721,f722,f346,f741,f743,f744,f120,f533,f766,f768,f763,f765,f791,f793,f795,f798,f799,f800,f801,f802,f803,f804,f805,f806,f807,f808,f809,f810,f811,f812,f813,f814,f815,f816,f817,f818,f819,f820,f821,f767,f792,f831,f825,f832,f833,f834,f822,f119,f762,f844,f843,f849,f794,f852,f854,f855,f856,f796,f870,f872,f873,f874,f797,f888,f890,f891,f892,f823,f906,f908,f826,f926,f928,f929,f930,f827,f944,f946,f947,f948,f840,f83,f961,f970,f971,f842,f973,f978,f977,f981,f982,f986,f983,f979,f990,f989,f992,f993,f994,f995,f996,f997,f998,f999,f1000,f1001,f1002,f1003,f1004,f1005,f1006,f1007,f1008,f1009,f1010,f1011,f1012,f1013,f1014,f1015,f1016,f1017,f1018,f1019,f1020,f1021,f1022,f1023,f1024,f1025,f1026,f1027,f988,f1032,f1033,f991,f1035,f1044,f1037,f1038,f1039,f1040,f1045,f1046,f1047,f1034,f1054,f966,f1055,f1063,f1031,f1065,f1066,f1073,f1070,f1067,f1060,f1083,f1085,f1087,f1090,f1091,f1092,f1093,f1095,f1062,f1126,f1107,f1108,f1109,f1110,f1112,f1115,f1116,f1117,f1118,f1121,f1082,f1232,f1233,f1229,f1136,f1234,f1140,f1141,f1236,f1237,f1238,f1239,f1240,f1241,f1242,f1243,f1244,f1245,f1246,f1247,f1248,f1249,f1250,f1251,f1252,f1253,f1254,f1255,f1256,f1257,f1258,f1169,f1170,f1261,f1262,f1263,f1264,f1265,f1266,f1267,f1268,f1269,f1270,f1271,f1272,f1273,f1274,f1275,f1276,f1277,f1278,f1279,f1280,f1282,f1283,f1284,f1286,f1287,f1288,f1289,f1290,f1292,f1293,f1294,f1296,f1297,f1298,f1299,f1300,f1213,f1214,f1215,f1301,f1304,f1305,f1306,f1307,f1223,f1308,f1134,f968,f1235,f1295,f1302,f1303,f1320,f1354,f1359,f1362,f1368,f1371,f1389,f1377,f1388,f1374,f1373,f1365,f1364,f1281,f1084,f362,f1413,f1414,f1415,f1416,f1417,f1418,f1419,f1420,f1421,f1422,f1423,f1424,f1425,f1426,f1427,f1428,f1429,f1430,f1431,f1432,f1433,f1434,f1435,f1436,f1437,f1438,f1439,f1440,f1441,f1442,f1443,f1444,f1445,f1446,f1447,f1448,f1449,f1450,f1451,f1452,f1454,f1455,f1456,f1457,f1458,f1328,f1326,f1514,f1532,f1531,f1453,f1534,f1537,f1535,f1538,f364,f1540,f1542,f1544,f1545,f1459,f1567,f1570,f1568,f1572,f1573,f1460,f1575,f1578,f1579,f1576,f1580,f1581,f1571,f1591,f1588,f769,f1592,f1593,f1594,f1595,f1596,f1597,f1598,f1599,f1600,f1601,f1602,f1603,f1604,f1605,f1606,f1607,f1608,f1609,f1610,f1611,f1612,f1613,f1614,f1615,f1616,f1617,f1618,f1619,f1620,f1621,f1622,f1623,f1624,f1625,f1626,f1627,f1628,f1629,f1630,f1631,f1632,f1635,f1637,f1638,f1640,f1641,f1643,f1634,f1650,f1649,f1648,f1633,f1652,f1656,f1653,f1657,f1654,f1658,f1642,f1660,f1664,f1665,f1661,f1666]) ).
fof(f1666,plain,
! [X0] :
( empty_set = apply(sK4(X0),sK2(sK0))
| sK0 != sK6
| sK0 != X0 ),
inference(inner_rewriting,[],[f1661]) ).
fof(f1661,plain,
! [X0] :
( empty_set = apply(sK4(X0),sK2(sK6))
| sK0 != sK6
| sK0 != X0 ),
inference(superposition,[],[f1642,f1320]) ).
fof(f1664,plain,
! [X0] :
( empty_set = apply(sK4(X0),sK2(sK0))
| sK0 != X0
| sK0 != sK6 ),
inference(inner_rewriting,[],[f1660]) ).
fof(f1660,plain,
! [X0] :
( empty_set = apply(sK4(X0),sK2(sK6))
| sK0 != X0
| sK0 != sK6 ),
inference(superposition,[],[f1642,f1320]) ).
fof(f1642,plain,
empty_set = apply(sK4(sK6),sK2(sK6)),
inference(resolution,[],[f769,f121]) ).
fof(f1658,plain,
! [X0] :
( empty_set = apply(sK3(X0),sK2(n1))
| n1 != sK0
| n1 != X0 ),
inference(inner_rewriting,[],[f1654]) ).
fof(f1654,plain,
! [X0] :
( empty_set = apply(sK3(X0),sK2(n1))
| n1 != sK0
| sK0 != X0 ),
inference(superposition,[],[f1633,f1062]) ).
fof(f1657,plain,
! [X0] :
( empty_set = apply(sK4(X0),sK2(n1))
| n1 != sK0
| n1 != X0 ),
inference(inner_rewriting,[],[f1653]) ).
fof(f1653,plain,
! [X0] :
( empty_set = apply(sK4(X0),sK2(n1))
| n1 != sK0
| sK0 != X0 ),
inference(superposition,[],[f1633,f1320]) ).
fof(f1656,plain,
! [X0] :
( empty_set = apply(sK4(X0),sK2(n1))
| n1 != X0
| n1 != sK0 ),
inference(inner_rewriting,[],[f1652]) ).
fof(f1652,plain,
! [X0] :
( empty_set = apply(sK4(X0),sK2(n1))
| sK0 != X0
| n1 != sK0 ),
inference(superposition,[],[f1633,f1320]) ).
fof(f1633,plain,
empty_set = apply(sK4(n1),sK2(n1)),
inference(resolution,[],[f769,f85]) ).
fof(f1648,plain,
( ! [X0] :
( empty_set = apply(sK3(X0),sK2(sK0))
| sK0 != X0 )
| ~ spl12_4 ),
inference(trivial_inequality_removal,[],[f1646]) ).
fof(f1646,plain,
( ! [X0] :
( empty_set = apply(sK3(X0),sK2(sK0))
| sK0 != sK0
| sK0 != X0 )
| ~ spl12_4 ),
inference(superposition,[],[f1634,f1062]) ).
fof(f1649,plain,
( ! [X0] :
( empty_set = apply(sK4(X0),sK2(sK0))
| sK0 != X0 )
| ~ spl12_4 ),
inference(trivial_inequality_removal,[],[f1645]) ).
fof(f1645,plain,
( ! [X0] :
( empty_set = apply(sK4(X0),sK2(sK0))
| sK0 != sK0
| sK0 != X0 )
| ~ spl12_4 ),
inference(superposition,[],[f1634,f1320]) ).
fof(f1650,plain,
( ! [X0] :
( empty_set = apply(sK4(X0),sK2(sK0))
| sK0 != X0 )
| ~ spl12_4 ),
inference(trivial_inequality_removal,[],[f1644]) ).
fof(f1644,plain,
( ! [X0] :
( empty_set = apply(sK4(X0),sK2(sK0))
| sK0 != X0
| sK0 != sK0 )
| ~ spl12_4 ),
inference(superposition,[],[f1634,f1320]) ).
fof(f1634,plain,
( empty_set = apply(sK4(sK0),sK2(sK0))
| ~ spl12_4 ),
inference(resolution,[],[f769,f1328]) ).
fof(f1641,plain,
! [X0] :
( empty_set = apply(sK4(sK4(X0)),sK2(sK4(X0)))
| relation(X0) ),
inference(resolution,[],[f769,f143]) ).
fof(f1640,plain,
! [X0] :
( empty_set = apply(sK4(sK4(X0)),sK2(sK4(X0)))
| empty(X0) ),
inference(resolution,[],[f769,f144]) ).
fof(f1638,plain,
! [X0] :
( empty_set = apply(sK4(sK3(X0)),sK2(sK3(X0)))
| relation(X0) ),
inference(resolution,[],[f769,f141]) ).
fof(f1637,plain,
! [X0] :
( empty_set = apply(sK4(sK3(X0)),sK2(sK3(X0)))
| empty(X0) ),
inference(resolution,[],[f769,f142]) ).
fof(f1635,plain,
! [X0] :
( empty_set = apply(sK4(sK1(X0)),sK2(sK1(X0)))
| empty(X0) ),
inference(resolution,[],[f769,f94]) ).
fof(f1632,plain,
! [X0] :
( empty_set = apply(sK4(relation_dom(X0)),sK2(relation_dom(X0)))
| ~ relation(X0)
| empty(X0) ),
inference(resolution,[],[f769,f100]) ).
fof(f1631,plain,
! [X0] : empty_set = apply(sK4(powerset(X0)),sK2(powerset(X0))),
inference(resolution,[],[f769,f92]) ).
fof(f1630,plain,
! [X0] :
( empty_set = apply(sK4(X0),sK2(X0))
| empty_set = sK2(sK1(powerset(X0))) ),
inference(resolution,[],[f769,f991]) ).
fof(f1629,plain,
! [X0] :
( empty_set = apply(sK4(X0),sK2(X0))
| empty_set = sK2(powerset(sK4(X0))) ),
inference(resolution,[],[f769,f827]) ).
fof(f1628,plain,
! [X0] :
( empty_set = apply(sK4(X0),sK2(X0))
| empty_set = sK2(powerset(sK3(X0))) ),
inference(resolution,[],[f769,f826]) ).
fof(f1627,plain,
! [X0] :
( empty_set = apply(sK4(X0),sK2(X0))
| empty_set = sK2(powerset(relation_dom(X0))) ),
inference(resolution,[],[f769,f823]) ).
fof(f1626,plain,
! [X0] :
( empty_set = apply(sK4(X0),sK2(X0))
| empty_set = sK4(sK2(powerset(X0))) ),
inference(resolution,[],[f769,f797]) ).
fof(f1625,plain,
! [X0] :
( empty_set = apply(sK4(X0),sK2(X0))
| empty_set = sK3(sK2(powerset(X0))) ),
inference(resolution,[],[f769,f796]) ).
fof(f1624,plain,
! [X0] :
( empty_set = apply(sK4(X0),sK2(X0))
| empty_set = relation_dom(sK2(powerset(X0))) ),
inference(resolution,[],[f769,f794]) ).
fof(f1623,plain,
! [X0] :
( empty_set = apply(sK4(X0),sK2(X0))
| empty_set = sK2(powerset(X0)) ),
inference(resolution,[],[f769,f792]) ).
fof(f1622,plain,
! [X0,X1] :
( empty_set = apply(sK4(X0),sK2(X0))
| relation_dom(relation_dom(X0)) = X1
| ~ empty(X1) ),
inference(resolution,[],[f769,f364]) ).
fof(f1621,plain,
! [X0] :
( empty_set = apply(sK4(X0),sK2(X0))
| empty_set = sK4(sK4(sK4(X0))) ),
inference(resolution,[],[f769,f346]) ).
fof(f1620,plain,
! [X0] :
( empty_set = apply(sK4(X0),sK2(X0))
| empty_set = sK4(sK4(sK3(X0))) ),
inference(resolution,[],[f769,f345]) ).
fof(f1619,plain,
! [X0] :
( empty_set = apply(sK4(X0),sK2(X0))
| empty_set = sK4(sK4(relation_dom(X0))) ),
inference(resolution,[],[f769,f343]) ).
fof(f1618,plain,
! [X0] :
( empty_set = apply(sK4(X0),sK2(X0))
| empty_set = sK4(sK3(sK4(X0))) ),
inference(resolution,[],[f769,f329]) ).
fof(f1617,plain,
! [X0] :
( empty_set = apply(sK4(X0),sK2(X0))
| empty_set = sK4(sK3(sK3(X0))) ),
inference(resolution,[],[f769,f328]) ).
fof(f1616,plain,
! [X0] :
( empty_set = apply(sK4(X0),sK2(X0))
| empty_set = sK4(sK3(relation_dom(X0))) ),
inference(resolution,[],[f769,f326]) ).
fof(f1615,plain,
! [X0] :
( empty_set = apply(sK4(X0),sK2(X0))
| empty_set = sK4(relation_dom(relation_dom(X0))) ),
inference(resolution,[],[f769,f307]) ).
fof(f1614,plain,
! [X0] :
( empty_set = apply(sK4(X0),sK2(X0))
| empty_set = sK3(sK4(sK4(X0))) ),
inference(resolution,[],[f769,f281]) ).
fof(f1613,plain,
! [X0] :
( empty_set = apply(sK4(X0),sK2(X0))
| empty_set = sK3(sK4(sK3(X0))) ),
inference(resolution,[],[f769,f280]) ).
fof(f1612,plain,
! [X0] :
( empty_set = apply(sK4(X0),sK2(X0))
| empty_set = sK3(sK4(relation_dom(X0))) ),
inference(resolution,[],[f769,f278]) ).
fof(f1611,plain,
! [X0] :
( empty_set = apply(sK4(X0),sK2(X0))
| empty_set = sK3(sK3(sK4(X0))) ),
inference(resolution,[],[f769,f264]) ).
fof(f1610,plain,
! [X0] :
( empty_set = apply(sK4(X0),sK2(X0))
| empty_set = sK3(sK3(sK3(X0))) ),
inference(resolution,[],[f769,f263]) ).
fof(f1609,plain,
! [X0] :
( empty_set = apply(sK4(X0),sK2(X0))
| empty_set = sK3(sK3(relation_dom(X0))) ),
inference(resolution,[],[f769,f261]) ).
fof(f1608,plain,
! [X0] :
( empty_set = apply(sK4(X0),sK2(X0))
| empty_set = sK3(relation_dom(relation_dom(X0))) ),
inference(resolution,[],[f769,f242]) ).
fof(f1607,plain,
! [X0] :
( empty_set = apply(sK4(X0),sK2(X0))
| empty_set = relation_dom(relation_dom(relation_dom(X0))) ),
inference(resolution,[],[f769,f223]) ).
fof(f1606,plain,
! [X0,X1] :
( empty_set = apply(sK4(X0),sK2(X0))
| ~ empty(X1)
| sK4(X0) = X1 ),
inference(resolution,[],[f769,f214]) ).
fof(f1605,plain,
! [X0,X1] :
( empty_set = apply(sK4(X0),sK2(X0))
| ~ empty(X1)
| sK3(X0) = X1 ),
inference(resolution,[],[f769,f213]) ).
fof(f1604,plain,
! [X0,X1] :
( empty_set = apply(sK4(X0),sK2(X0))
| ~ empty(X1)
| relation_dom(X0) = X1 ),
inference(resolution,[],[f769,f211]) ).
fof(f1603,plain,
! [X0] :
( empty_set = apply(sK4(X0),sK2(X0))
| empty_set = sK4(sK4(X0)) ),
inference(resolution,[],[f769,f196]) ).
fof(f1602,plain,
! [X0] :
( empty_set = apply(sK4(X0),sK2(X0))
| empty_set = sK4(sK3(X0)) ),
inference(resolution,[],[f769,f195]) ).
fof(f1601,plain,
! [X0] :
( empty_set = apply(sK4(X0),sK2(X0))
| empty_set = sK4(relation_dom(X0)) ),
inference(resolution,[],[f769,f193]) ).
fof(f1600,plain,
! [X0] :
( empty_set = apply(sK4(X0),sK2(X0))
| empty_set = sK3(sK4(X0)) ),
inference(resolution,[],[f769,f178]) ).
fof(f1599,plain,
! [X0] :
( empty_set = apply(sK4(X0),sK2(X0))
| empty_set = sK3(sK3(X0)) ),
inference(resolution,[],[f769,f177]) ).
fof(f1598,plain,
! [X0] :
( empty_set = apply(sK4(X0),sK2(X0))
| empty_set = sK3(relation_dom(X0)) ),
inference(resolution,[],[f769,f175]) ).
fof(f1597,plain,
! [X0] :
( empty_set = apply(sK4(X0),sK2(X0))
| empty_set = sK4(X0) ),
inference(resolution,[],[f769,f172]) ).
fof(f1596,plain,
! [X0] :
( empty_set = apply(sK4(X0),sK2(X0))
| empty_set = sK3(X0) ),
inference(resolution,[],[f769,f167]) ).
fof(f1595,plain,
! [X0] :
( empty_set = apply(sK4(X0),sK2(X0))
| empty_set = relation_dom(relation_dom(X0)) ),
inference(resolution,[],[f769,f147]) ).
fof(f1594,plain,
! [X0] :
( empty_set = apply(sK4(X0),sK2(X0))
| empty_set = relation_dom(X0) ),
inference(resolution,[],[f769,f140]) ).
fof(f1593,plain,
! [X0,X1] :
( empty_set = apply(sK4(X0),sK2(X0))
| X0 = X1
| ~ empty(X1) ),
inference(resolution,[],[f769,f117]) ).
fof(f1592,plain,
! [X0] :
( empty_set = apply(sK4(X0),sK2(X0))
| empty_set = X0 ),
inference(resolution,[],[f769,f97]) ).
fof(f769,plain,
! [X0] :
( empty(X0)
| empty_set = apply(sK4(X0),sK2(X0)) ),
inference(resolution,[],[f533,f297]) ).
fof(f1588,plain,
( ! [X0,X1] :
( n1 = relation_dom(sK3(X1))
| sK0 != X0
| sK0 != apply(sK3(X0),sK2(sK0))
| sK0 != X1 )
| ~ spl12_4 ),
inference(superposition,[],[f1571,f1082]) ).
fof(f1591,plain,
( ! [X0,X1] :
( n1 = apply(sK4(X1),sK2(sK0))
| sK0 != X0
| sK0 != X1 )
| ~ spl12_4 ),
inference(duplicate_literal_removal,[],[f1584]) ).
fof(f1584,plain,
( ! [X0,X1] :
( n1 = apply(sK4(X1),sK2(sK0))
| sK0 != X0
| sK0 != X1
| sK0 != X0 )
| ~ spl12_4 ),
inference(superposition,[],[f1571,f1062]) ).
fof(f1571,plain,
( ! [X0] :
( n1 = apply(sK3(X0),sK2(sK0))
| sK0 != X0 )
| ~ spl12_4 ),
inference(global_subsumption,[],[f88,f91,f90,f109,f110,f85,f86,f87,f89,f121,f122,f123,f124,f125,f126,f127,f128,f129,f84,f92,f102,f103,f106,f107,f111,f112,f95,f96,f101,f94,f97,f131,f133,f134,f132,f98,f99,f104,f108,f145,f141,f142,f143,f144,f113,f140,f152,f153,f154,f155,f146,f93,f100,f162,f163,f167,f182,f183,f184,f185,f174,f190,f116,f172,f200,f201,f202,f203,f192,f117,f147,f175,f177,f178,f115,f299,f301,f297,f302,f298,f300,f303,f304,f193,f195,f196,f105,f359,f361,f360,f211,f213,f383,f385,f386,f214,f400,f402,f403,f223,f417,f305,f440,f242,f442,f261,f466,f263,f490,f492,f493,f264,f512,f514,f515,f278,f535,f280,f559,f561,f562,f281,f581,f583,f584,f307,f603,f326,f627,f328,f651,f653,f654,f329,f673,f675,f676,f343,f695,f345,f719,f721,f722,f346,f741,f743,f744,f120,f533,f766,f768,f769,f763,f765,f791,f793,f795,f798,f799,f800,f801,f802,f803,f804,f805,f806,f807,f808,f809,f810,f811,f812,f813,f814,f815,f816,f817,f818,f819,f820,f821,f767,f792,f831,f825,f832,f833,f834,f822,f119,f762,f844,f843,f849,f794,f852,f854,f855,f856,f796,f870,f872,f873,f874,f797,f888,f890,f891,f892,f823,f906,f908,f826,f926,f928,f929,f930,f827,f944,f946,f947,f948,f840,f83,f961,f970,f971,f842,f973,f978,f977,f981,f982,f986,f983,f979,f990,f989,f992,f993,f994,f995,f996,f997,f998,f999,f1000,f1001,f1002,f1003,f1004,f1005,f1006,f1007,f1008,f1009,f1010,f1011,f1012,f1013,f1014,f1015,f1016,f1017,f1018,f1019,f1020,f1021,f1022,f1023,f1024,f1025,f1026,f1027,f988,f1032,f1033,f991,f1035,f1044,f1037,f1038,f1039,f1040,f1045,f1046,f1047,f1034,f1054,f966,f1055,f1063,f1031,f1065,f1066,f1073,f1070,f1067,f1060,f1083,f1085,f1087,f1090,f1091,f1092,f1093,f1095,f1062,f1126,f1107,f1108,f1109,f1110,f1112,f1115,f1116,f1117,f1118,f1121,f1082,f1232,f1233,f1229,f1136,f1234,f1140,f1141,f1236,f1237,f1238,f1239,f1240,f1241,f1242,f1243,f1244,f1245,f1246,f1247,f1248,f1249,f1250,f1251,f1252,f1253,f1254,f1255,f1256,f1257,f1258,f1169,f1170,f1261,f1262,f1263,f1264,f1265,f1266,f1267,f1268,f1269,f1270,f1271,f1272,f1273,f1274,f1275,f1276,f1277,f1278,f1279,f1280,f1282,f1283,f1284,f1286,f1287,f1288,f1289,f1290,f1292,f1293,f1294,f1296,f1297,f1298,f1299,f1300,f1213,f1214,f1215,f1301,f1304,f1305,f1306,f1307,f1223,f1308,f1134,f968,f1235,f1295,f1302,f1303,f1320,f1354,f1359,f1362,f1368,f1371,f1389,f1377,f1388,f1374,f1373,f1365,f1364,f1281,f1084,f362,f1413,f1414,f1415,f1416,f1417,f1418,f1419,f1420,f1421,f1422,f1423,f1424,f1425,f1426,f1427,f1428,f1429,f1430,f1431,f1432,f1433,f1434,f1435,f1436,f1437,f1438,f1439,f1440,f1441,f1442,f1443,f1444,f1445,f1446,f1447,f1448,f1449,f1450,f1451,f1452,f1454,f1455,f1456,f1457,f1458,f1460,f1328,f1326,f1514,f1532,f1531,f1453,f1534,f1537,f1535,f1538,f364,f1540,f1542,f1544,f1545,f1459,f1567,f1570]) ).
fof(f1581,plain,
( ! [X0] :
( n1 = apply(sK3(X0),sK2(sK0))
| sK0 != X0 )
| ~ spl12_4 ),
inference(global_subsumption,[],[f88,f91,f90,f109,f110,f85,f86,f87,f89,f121,f122,f123,f124,f125,f126,f127,f128,f129,f84,f92,f102,f103,f106,f107,f111,f112,f95,f96,f101,f94,f97,f131,f133,f134,f132,f98,f99,f104,f108,f145,f141,f142,f143,f144,f113,f140,f152,f153,f154,f155,f146,f93,f100,f162,f163,f167,f182,f183,f184,f185,f174,f190,f116,f172,f200,f201,f202,f203,f192,f117,f147,f175,f177,f178,f115,f299,f301,f297,f302,f298,f300,f303,f304,f193,f195,f196,f105,f359,f361,f360,f211,f213,f383,f385,f386,f214,f400,f402,f403,f223,f417,f305,f440,f242,f442,f261,f466,f263,f490,f492,f493,f264,f512,f514,f515,f278,f535,f280,f559,f561,f562,f281,f581,f583,f584,f307,f603,f326,f627,f328,f651,f653,f654,f329,f673,f675,f676,f343,f695,f345,f719,f721,f722,f346,f741,f743,f744,f120,f533,f766,f768,f769,f763,f765,f791,f793,f795,f798,f799,f800,f801,f802,f803,f804,f805,f806,f807,f808,f809,f810,f811,f812,f813,f814,f815,f816,f817,f818,f819,f820,f821,f767,f792,f831,f825,f832,f833,f834,f822,f119,f762,f844,f843,f849,f794,f852,f854,f855,f856,f796,f870,f872,f873,f874,f797,f888,f890,f891,f892,f823,f906,f908,f826,f926,f928,f929,f930,f827,f944,f946,f947,f948,f840,f83,f961,f970,f971,f842,f973,f978,f977,f981,f982,f986,f983,f979,f990,f989,f992,f993,f994,f995,f996,f997,f998,f999,f1000,f1001,f1002,f1003,f1004,f1005,f1006,f1007,f1008,f1009,f1010,f1011,f1012,f1013,f1014,f1015,f1016,f1017,f1018,f1019,f1020,f1021,f1022,f1023,f1024,f1025,f1026,f1027,f988,f1032,f1033,f991,f1035,f1044,f1037,f1038,f1039,f1040,f1045,f1046,f1047,f1034,f1054,f966,f1055,f1063,f1031,f1065,f1066,f1073,f1070,f1067,f1060,f1083,f1085,f1087,f1090,f1091,f1092,f1093,f1095,f1062,f1126,f1107,f1108,f1109,f1110,f1112,f1115,f1116,f1117,f1118,f1121,f1082,f1232,f1233,f1229,f1136,f1234,f1140,f1141,f1236,f1237,f1238,f1239,f1240,f1241,f1242,f1243,f1244,f1245,f1246,f1247,f1248,f1249,f1250,f1251,f1252,f1253,f1254,f1255,f1256,f1257,f1258,f1169,f1170,f1261,f1262,f1263,f1264,f1265,f1266,f1267,f1268,f1269,f1270,f1271,f1272,f1273,f1274,f1275,f1276,f1277,f1278,f1279,f1280,f1282,f1283,f1284,f1286,f1287,f1288,f1289,f1290,f1292,f1293,f1294,f1296,f1297,f1298,f1299,f1300,f1213,f1214,f1215,f1301,f1304,f1305,f1306,f1307,f1223,f1308,f1134,f968,f1235,f1295,f1302,f1303,f1320,f1354,f1359,f1362,f1368,f1371,f1389,f1377,f1388,f1374,f1373,f1365,f1364,f1281,f1084,f362,f1413,f1414,f1415,f1416,f1417,f1418,f1419,f1420,f1421,f1422,f1423,f1424,f1425,f1426,f1427,f1428,f1429,f1430,f1431,f1432,f1433,f1434,f1435,f1436,f1437,f1438,f1439,f1440,f1441,f1442,f1443,f1444,f1445,f1446,f1447,f1448,f1449,f1450,f1451,f1452,f1454,f1455,f1456,f1457,f1458,f1328,f1326,f1514,f1532,f1531,f1453,f1534,f1537,f1535,f1538,f364,f1540,f1542,f1544,f1545,f1459,f1567,f1570,f1571,f1568,f1572,f1573,f1460,f1575,f1578,f1579,f1576,f1580]) ).
fof(f1580,plain,
! [X0] :
( n1 = apply(sK3(X0),sK2(sK0))
| sK0 != sK8
| sK0 != X0 ),
inference(inner_rewriting,[],[f1576]) ).
fof(f1576,plain,
! [X0] :
( n1 = apply(sK3(X0),sK2(sK8))
| sK0 != sK8
| sK0 != X0 ),
inference(superposition,[],[f1460,f1060]) ).
fof(f1579,plain,
( ! [X0] :
( n1 = apply(sK3(X0),sK2(sK0))
| sK0 != X0 )
| ~ spl12_4 ),
inference(global_subsumption,[],[f88,f91,f90,f109,f110,f85,f86,f87,f89,f121,f122,f123,f124,f125,f126,f127,f128,f129,f84,f92,f102,f103,f106,f107,f111,f112,f95,f96,f101,f94,f97,f131,f133,f134,f132,f98,f99,f104,f108,f145,f141,f142,f143,f144,f113,f140,f152,f153,f154,f155,f146,f93,f100,f162,f163,f167,f182,f183,f184,f185,f174,f190,f116,f172,f200,f201,f202,f203,f192,f117,f147,f175,f177,f178,f115,f299,f301,f297,f302,f298,f300,f303,f304,f193,f195,f196,f105,f359,f361,f360,f211,f213,f383,f385,f386,f214,f400,f402,f403,f223,f417,f305,f440,f242,f442,f261,f466,f263,f490,f492,f493,f264,f512,f514,f515,f278,f535,f280,f559,f561,f562,f281,f581,f583,f584,f307,f603,f326,f627,f328,f651,f653,f654,f329,f673,f675,f676,f343,f695,f345,f719,f721,f722,f346,f741,f743,f744,f120,f533,f766,f768,f769,f763,f765,f791,f793,f795,f798,f799,f800,f801,f802,f803,f804,f805,f806,f807,f808,f809,f810,f811,f812,f813,f814,f815,f816,f817,f818,f819,f820,f821,f767,f792,f831,f825,f832,f833,f834,f822,f119,f762,f844,f843,f849,f794,f852,f854,f855,f856,f796,f870,f872,f873,f874,f797,f888,f890,f891,f892,f823,f906,f908,f826,f926,f928,f929,f930,f827,f944,f946,f947,f948,f840,f83,f961,f970,f971,f842,f973,f978,f977,f981,f982,f986,f983,f979,f990,f989,f992,f993,f994,f995,f996,f997,f998,f999,f1000,f1001,f1002,f1003,f1004,f1005,f1006,f1007,f1008,f1009,f1010,f1011,f1012,f1013,f1014,f1015,f1016,f1017,f1018,f1019,f1020,f1021,f1022,f1023,f1024,f1025,f1026,f1027,f988,f1032,f1033,f991,f1035,f1044,f1037,f1038,f1039,f1040,f1045,f1046,f1047,f1034,f1054,f966,f1055,f1063,f1031,f1065,f1066,f1073,f1070,f1067,f1060,f1083,f1085,f1087,f1090,f1091,f1092,f1093,f1095,f1062,f1126,f1107,f1108,f1109,f1110,f1112,f1115,f1116,f1117,f1118,f1121,f1082,f1232,f1233,f1229,f1136,f1234,f1140,f1141,f1236,f1237,f1238,f1239,f1240,f1241,f1242,f1243,f1244,f1245,f1246,f1247,f1248,f1249,f1250,f1251,f1252,f1253,f1254,f1255,f1256,f1257,f1258,f1169,f1170,f1261,f1262,f1263,f1264,f1265,f1266,f1267,f1268,f1269,f1270,f1271,f1272,f1273,f1274,f1275,f1276,f1277,f1278,f1279,f1280,f1282,f1283,f1284,f1286,f1287,f1288,f1289,f1290,f1292,f1293,f1294,f1296,f1297,f1298,f1299,f1300,f1213,f1214,f1215,f1301,f1304,f1305,f1306,f1307,f1223,f1308,f1134,f968,f1235,f1295,f1302,f1303,f1320,f1354,f1359,f1362,f1368,f1371,f1389,f1377,f1388,f1374,f1373,f1365,f1364,f1281,f1084,f362,f1413,f1414,f1415,f1416,f1417,f1418,f1419,f1420,f1421,f1422,f1423,f1424,f1425,f1426,f1427,f1428,f1429,f1430,f1431,f1432,f1433,f1434,f1435,f1436,f1437,f1438,f1439,f1440,f1441,f1442,f1443,f1444,f1445,f1446,f1447,f1448,f1449,f1450,f1451,f1452,f1454,f1455,f1456,f1457,f1458,f1328,f1326,f1514,f1532,f1531,f1453,f1534,f1537,f1535,f1538,f364,f1540,f1542,f1544,f1545,f1459,f1567,f1570,f1571,f1568,f1572,f1573,f1460,f1575,f1578]) ).
fof(f1578,plain,
! [X0] :
( n1 = apply(sK3(X0),sK2(sK0))
| sK0 != X0
| sK0 != sK8 ),
inference(inner_rewriting,[],[f1575]) ).
fof(f1575,plain,
! [X0] :
( n1 = apply(sK3(X0),sK2(sK8))
| sK0 != X0
| sK0 != sK8 ),
inference(superposition,[],[f1460,f1060]) ).
fof(f1460,plain,
n1 = apply(sK3(sK8),sK2(sK8)),
inference(resolution,[],[f362,f123]) ).
fof(f1573,plain,
( ! [X0] :
( n1 = apply(sK3(X0),sK2(sK0))
| sK0 != X0 )
| ~ spl12_4 ),
inference(global_subsumption,[],[f88,f91,f90,f109,f110,f85,f86,f87,f89,f121,f122,f123,f124,f125,f126,f127,f128,f129,f84,f92,f102,f103,f106,f107,f111,f112,f95,f96,f101,f94,f97,f131,f133,f134,f132,f98,f99,f104,f108,f145,f141,f142,f143,f144,f113,f140,f152,f153,f154,f155,f146,f93,f100,f162,f163,f167,f182,f183,f184,f185,f174,f190,f116,f172,f200,f201,f202,f203,f192,f117,f147,f175,f177,f178,f115,f299,f301,f297,f302,f298,f300,f303,f304,f193,f195,f196,f105,f359,f361,f360,f211,f213,f383,f385,f386,f214,f400,f402,f403,f223,f417,f305,f440,f242,f442,f261,f466,f263,f490,f492,f493,f264,f512,f514,f515,f278,f535,f280,f559,f561,f562,f281,f581,f583,f584,f307,f603,f326,f627,f328,f651,f653,f654,f329,f673,f675,f676,f343,f695,f345,f719,f721,f722,f346,f741,f743,f744,f120,f533,f766,f768,f769,f763,f765,f791,f793,f795,f798,f799,f800,f801,f802,f803,f804,f805,f806,f807,f808,f809,f810,f811,f812,f813,f814,f815,f816,f817,f818,f819,f820,f821,f767,f792,f831,f825,f832,f833,f834,f822,f119,f762,f844,f843,f849,f794,f852,f854,f855,f856,f796,f870,f872,f873,f874,f797,f888,f890,f891,f892,f823,f906,f908,f826,f926,f928,f929,f930,f827,f944,f946,f947,f948,f840,f83,f961,f970,f971,f842,f973,f978,f977,f981,f982,f986,f983,f979,f990,f989,f992,f993,f994,f995,f996,f997,f998,f999,f1000,f1001,f1002,f1003,f1004,f1005,f1006,f1007,f1008,f1009,f1010,f1011,f1012,f1013,f1014,f1015,f1016,f1017,f1018,f1019,f1020,f1021,f1022,f1023,f1024,f1025,f1026,f1027,f988,f1032,f1033,f991,f1035,f1044,f1037,f1038,f1039,f1040,f1045,f1046,f1047,f1034,f1054,f966,f1055,f1063,f1031,f1065,f1066,f1073,f1070,f1067,f1060,f1083,f1085,f1087,f1090,f1091,f1092,f1093,f1095,f1062,f1126,f1107,f1108,f1109,f1110,f1112,f1115,f1116,f1117,f1118,f1121,f1082,f1232,f1233,f1229,f1136,f1234,f1140,f1141,f1236,f1237,f1238,f1239,f1240,f1241,f1242,f1243,f1244,f1245,f1246,f1247,f1248,f1249,f1250,f1251,f1252,f1253,f1254,f1255,f1256,f1257,f1258,f1169,f1170,f1261,f1262,f1263,f1264,f1265,f1266,f1267,f1268,f1269,f1270,f1271,f1272,f1273,f1274,f1275,f1276,f1277,f1278,f1279,f1280,f1282,f1283,f1284,f1286,f1287,f1288,f1289,f1290,f1292,f1293,f1294,f1296,f1297,f1298,f1299,f1300,f1213,f1214,f1215,f1301,f1304,f1305,f1306,f1307,f1223,f1308,f1134,f968,f1235,f1295,f1302,f1303,f1320,f1354,f1359,f1362,f1368,f1371,f1389,f1377,f1388,f1374,f1373,f1365,f1364,f1281,f1084,f362,f1413,f1414,f1415,f1416,f1417,f1418,f1419,f1420,f1421,f1422,f1423,f1424,f1425,f1426,f1427,f1428,f1429,f1430,f1431,f1432,f1433,f1434,f1435,f1436,f1437,f1438,f1439,f1440,f1441,f1442,f1443,f1444,f1445,f1446,f1447,f1448,f1449,f1450,f1451,f1452,f1454,f1455,f1456,f1457,f1458,f1460,f1328,f1326,f1514,f1532,f1531,f1453,f1534,f1537,f1535,f1538,f364,f1540,f1542,f1544,f1545,f1459,f1567,f1570,f1571,f1568,f1572]) ).
fof(f1572,plain,
! [X0] :
( n1 = apply(sK3(X0),sK2(sK0))
| sK0 != sK6
| sK0 != X0 ),
inference(inner_rewriting,[],[f1568]) ).
fof(f1568,plain,
! [X0] :
( n1 = apply(sK3(X0),sK2(sK6))
| sK0 != sK6
| sK0 != X0 ),
inference(superposition,[],[f1459,f1060]) ).
fof(f1570,plain,
! [X0] :
( n1 = apply(sK3(X0),sK2(sK0))
| sK0 != X0
| sK0 != sK6 ),
inference(inner_rewriting,[],[f1567]) ).
fof(f1567,plain,
! [X0] :
( n1 = apply(sK3(X0),sK2(sK6))
| sK0 != X0
| sK0 != sK6 ),
inference(superposition,[],[f1459,f1060]) ).
fof(f1459,plain,
n1 = apply(sK3(sK6),sK2(sK6)),
inference(resolution,[],[f362,f121]) ).
fof(f1545,plain,
! [X0,X1] :
( relation_dom(relation_dom(sK2(sK1(powerset(X0))))) = X1
| ~ empty(X1)
| ~ empty(X0) ),
inference(resolution,[],[f364,f989]) ).
fof(f1544,plain,
! [X0,X1] :
( relation_dom(relation_dom(sK2(powerset(X0)))) = X1
| ~ empty(X1)
| ~ empty(X0) ),
inference(resolution,[],[f364,f791]) ).
fof(f1542,plain,
! [X0,X1] :
( relation_dom(relation_dom(relation_dom(X0))) = X1
| ~ empty(X1)
| ~ empty(X0) ),
inference(resolution,[],[f364,f98]) ).
fof(f1540,plain,
! [X0,X1] :
( relation_dom(relation_dom(X0)) = X1
| ~ empty(X1)
| n1 = apply(sK3(X0),sK2(X0)) ),
inference(resolution,[],[f364,f362]) ).
fof(f364,plain,
! [X0,X1] :
( ~ empty(X1)
| relation_dom(relation_dom(X1)) = X0
| ~ empty(X0) ),
inference(resolution,[],[f211,f98]) ).
fof(f1538,plain,
! [X0] :
( n1 = apply(sK3(X0),sK2(n1))
| n1 != sK0
| n1 != X0 ),
inference(inner_rewriting,[],[f1535]) ).
fof(f1535,plain,
! [X0] :
( n1 = apply(sK3(X0),sK2(n1))
| n1 != sK0
| sK0 != X0 ),
inference(superposition,[],[f1453,f1060]) ).
fof(f1537,plain,
! [X0] :
( n1 = apply(sK3(X0),sK2(n1))
| n1 != X0
| n1 != sK0 ),
inference(inner_rewriting,[],[f1534]) ).
fof(f1534,plain,
! [X0] :
( n1 = apply(sK3(X0),sK2(n1))
| sK0 != X0
| n1 != sK0 ),
inference(superposition,[],[f1453,f1060]) ).
fof(f1453,plain,
n1 = apply(sK3(n1),sK2(n1)),
inference(resolution,[],[f362,f85]) ).
fof(f1531,plain,
( ! [X0] :
( n1 = apply(sK3(X0),sK2(sK0))
| sK0 != X0 )
| ~ spl12_4 ),
inference(trivial_inequality_removal,[],[f1529]) ).
fof(f1529,plain,
( ! [X0] :
( n1 = apply(sK3(X0),sK2(sK0))
| sK0 != sK0
| sK0 != X0 )
| ~ spl12_4 ),
inference(superposition,[],[f1514,f1060]) ).
fof(f1532,plain,
( ! [X0] :
( n1 = apply(sK3(X0),sK2(sK0))
| sK0 != X0 )
| ~ spl12_4 ),
inference(trivial_inequality_removal,[],[f1528]) ).
fof(f1528,plain,
( ! [X0] :
( n1 = apply(sK3(X0),sK2(sK0))
| sK0 != X0
| sK0 != sK0 )
| ~ spl12_4 ),
inference(superposition,[],[f1514,f1060]) ).
fof(f1514,plain,
( n1 = apply(sK3(sK0),sK2(sK0))
| ~ spl12_4 ),
inference(resolution,[],[f1328,f362]) ).
fof(f1326,plain,
( ! [X1] :
( sK0 != X1
| ~ empty(X1) )
| ~ spl12_4 ),
inference(avatar_component_clause,[],[f1325]) ).
fof(f1325,plain,
( spl12_4
<=> ! [X1] :
( ~ empty(X1)
| sK0 != X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_4])]) ).
fof(f1328,plain,
( ~ empty(sK0)
| ~ spl12_4 ),
inference(equality_resolution,[],[f1326]) ).
fof(f1458,plain,
! [X0] :
( n1 = apply(sK3(sK4(X0)),sK2(sK4(X0)))
| relation(X0) ),
inference(resolution,[],[f362,f143]) ).
fof(f1457,plain,
! [X0] :
( n1 = apply(sK3(sK4(X0)),sK2(sK4(X0)))
| empty(X0) ),
inference(resolution,[],[f362,f144]) ).
fof(f1456,plain,
! [X0] :
( n1 = apply(sK3(sK3(X0)),sK2(sK3(X0)))
| relation(X0) ),
inference(resolution,[],[f362,f141]) ).
fof(f1455,plain,
! [X0] :
( n1 = apply(sK3(sK3(X0)),sK2(sK3(X0)))
| empty(X0) ),
inference(resolution,[],[f362,f142]) ).
fof(f1454,plain,
! [X0] :
( n1 = apply(sK3(sK1(X0)),sK2(sK1(X0)))
| empty(X0) ),
inference(resolution,[],[f362,f94]) ).
fof(f1452,plain,
! [X0] :
( n1 = apply(sK3(relation_dom(X0)),sK2(relation_dom(X0)))
| ~ relation(X0)
| empty(X0) ),
inference(resolution,[],[f362,f100]) ).
fof(f1451,plain,
! [X0] : n1 = apply(sK3(powerset(X0)),sK2(powerset(X0))),
inference(resolution,[],[f362,f92]) ).
fof(f1450,plain,
! [X0] :
( n1 = apply(sK3(X0),sK2(X0))
| empty_set = sK2(sK1(powerset(X0))) ),
inference(resolution,[],[f362,f991]) ).
fof(f1449,plain,
! [X0] :
( n1 = apply(sK3(X0),sK2(X0))
| empty_set = sK2(powerset(sK4(X0))) ),
inference(resolution,[],[f362,f827]) ).
fof(f1448,plain,
! [X0] :
( n1 = apply(sK3(X0),sK2(X0))
| empty_set = sK2(powerset(sK3(X0))) ),
inference(resolution,[],[f362,f826]) ).
fof(f1447,plain,
! [X0] :
( n1 = apply(sK3(X0),sK2(X0))
| empty_set = sK2(powerset(relation_dom(X0))) ),
inference(resolution,[],[f362,f823]) ).
fof(f1446,plain,
! [X0] :
( n1 = apply(sK3(X0),sK2(X0))
| empty_set = sK4(sK2(powerset(X0))) ),
inference(resolution,[],[f362,f797]) ).
fof(f1445,plain,
! [X0] :
( n1 = apply(sK3(X0),sK2(X0))
| empty_set = sK3(sK2(powerset(X0))) ),
inference(resolution,[],[f362,f796]) ).
fof(f1444,plain,
! [X0] :
( n1 = apply(sK3(X0),sK2(X0))
| empty_set = relation_dom(sK2(powerset(X0))) ),
inference(resolution,[],[f362,f794]) ).
fof(f1443,plain,
! [X0] :
( n1 = apply(sK3(X0),sK2(X0))
| empty_set = sK2(powerset(X0)) ),
inference(resolution,[],[f362,f792]) ).
fof(f1442,plain,
! [X0] :
( n1 = apply(sK3(X0),sK2(X0))
| empty_set = sK4(sK4(sK4(X0))) ),
inference(resolution,[],[f362,f346]) ).
fof(f1441,plain,
! [X0] :
( n1 = apply(sK3(X0),sK2(X0))
| empty_set = sK4(sK4(sK3(X0))) ),
inference(resolution,[],[f362,f345]) ).
fof(f1440,plain,
! [X0] :
( n1 = apply(sK3(X0),sK2(X0))
| empty_set = sK4(sK4(relation_dom(X0))) ),
inference(resolution,[],[f362,f343]) ).
fof(f1439,plain,
! [X0] :
( n1 = apply(sK3(X0),sK2(X0))
| empty_set = sK4(sK3(sK4(X0))) ),
inference(resolution,[],[f362,f329]) ).
fof(f1438,plain,
! [X0] :
( n1 = apply(sK3(X0),sK2(X0))
| empty_set = sK4(sK3(sK3(X0))) ),
inference(resolution,[],[f362,f328]) ).
fof(f1437,plain,
! [X0] :
( n1 = apply(sK3(X0),sK2(X0))
| empty_set = sK4(sK3(relation_dom(X0))) ),
inference(resolution,[],[f362,f326]) ).
fof(f1436,plain,
! [X0] :
( n1 = apply(sK3(X0),sK2(X0))
| empty_set = sK4(relation_dom(relation_dom(X0))) ),
inference(resolution,[],[f362,f307]) ).
fof(f1435,plain,
! [X0] :
( n1 = apply(sK3(X0),sK2(X0))
| empty_set = sK3(sK4(sK4(X0))) ),
inference(resolution,[],[f362,f281]) ).
fof(f1434,plain,
! [X0] :
( n1 = apply(sK3(X0),sK2(X0))
| empty_set = sK3(sK4(sK3(X0))) ),
inference(resolution,[],[f362,f280]) ).
fof(f1433,plain,
! [X0] :
( n1 = apply(sK3(X0),sK2(X0))
| empty_set = sK3(sK4(relation_dom(X0))) ),
inference(resolution,[],[f362,f278]) ).
fof(f1432,plain,
! [X0] :
( n1 = apply(sK3(X0),sK2(X0))
| empty_set = sK3(sK3(sK4(X0))) ),
inference(resolution,[],[f362,f264]) ).
fof(f1431,plain,
! [X0] :
( n1 = apply(sK3(X0),sK2(X0))
| empty_set = sK3(sK3(sK3(X0))) ),
inference(resolution,[],[f362,f263]) ).
fof(f1430,plain,
! [X0] :
( n1 = apply(sK3(X0),sK2(X0))
| empty_set = sK3(sK3(relation_dom(X0))) ),
inference(resolution,[],[f362,f261]) ).
fof(f1429,plain,
! [X0] :
( n1 = apply(sK3(X0),sK2(X0))
| empty_set = sK3(relation_dom(relation_dom(X0))) ),
inference(resolution,[],[f362,f242]) ).
fof(f1428,plain,
! [X0] :
( n1 = apply(sK3(X0),sK2(X0))
| empty_set = relation_dom(relation_dom(relation_dom(X0))) ),
inference(resolution,[],[f362,f223]) ).
fof(f1427,plain,
! [X0,X1] :
( n1 = apply(sK3(X0),sK2(X0))
| ~ empty(X1)
| sK4(X0) = X1 ),
inference(resolution,[],[f362,f214]) ).
fof(f1426,plain,
! [X0,X1] :
( n1 = apply(sK3(X0),sK2(X0))
| ~ empty(X1)
| sK3(X0) = X1 ),
inference(resolution,[],[f362,f213]) ).
fof(f1425,plain,
! [X0,X1] :
( n1 = apply(sK3(X0),sK2(X0))
| ~ empty(X1)
| relation_dom(X0) = X1 ),
inference(resolution,[],[f362,f211]) ).
fof(f1424,plain,
! [X0] :
( n1 = apply(sK3(X0),sK2(X0))
| empty_set = sK4(sK4(X0)) ),
inference(resolution,[],[f362,f196]) ).
fof(f1423,plain,
! [X0] :
( n1 = apply(sK3(X0),sK2(X0))
| empty_set = sK4(sK3(X0)) ),
inference(resolution,[],[f362,f195]) ).
fof(f1422,plain,
! [X0] :
( n1 = apply(sK3(X0),sK2(X0))
| empty_set = sK4(relation_dom(X0)) ),
inference(resolution,[],[f362,f193]) ).
fof(f1421,plain,
! [X0] :
( n1 = apply(sK3(X0),sK2(X0))
| empty_set = sK3(sK4(X0)) ),
inference(resolution,[],[f362,f178]) ).
fof(f1420,plain,
! [X0] :
( n1 = apply(sK3(X0),sK2(X0))
| empty_set = sK3(sK3(X0)) ),
inference(resolution,[],[f362,f177]) ).
fof(f1419,plain,
! [X0] :
( n1 = apply(sK3(X0),sK2(X0))
| empty_set = sK3(relation_dom(X0)) ),
inference(resolution,[],[f362,f175]) ).
fof(f1418,plain,
! [X0] :
( n1 = apply(sK3(X0),sK2(X0))
| empty_set = sK4(X0) ),
inference(resolution,[],[f362,f172]) ).
fof(f1417,plain,
! [X0] :
( n1 = apply(sK3(X0),sK2(X0))
| empty_set = sK3(X0) ),
inference(resolution,[],[f362,f167]) ).
fof(f1416,plain,
! [X0] :
( n1 = apply(sK3(X0),sK2(X0))
| empty_set = relation_dom(relation_dom(X0)) ),
inference(resolution,[],[f362,f147]) ).
fof(f1415,plain,
! [X0] :
( n1 = apply(sK3(X0),sK2(X0))
| empty_set = relation_dom(X0) ),
inference(resolution,[],[f362,f140]) ).
fof(f1414,plain,
! [X0,X1] :
( n1 = apply(sK3(X0),sK2(X0))
| X0 = X1
| ~ empty(X1) ),
inference(resolution,[],[f362,f117]) ).
fof(f1413,plain,
! [X0] :
( n1 = apply(sK3(X0),sK2(X0))
| empty_set = X0 ),
inference(resolution,[],[f362,f97]) ).
fof(f362,plain,
! [X0] :
( empty(X0)
| n1 = apply(sK3(X0),sK2(X0)) ),
inference(resolution,[],[f105,f297]) ).
fof(f1084,plain,
! [X0,X1] :
( ~ empty(sK3(X1))
| empty(X0)
| sK0 != X0
| sK0 != X1 ),
inference(superposition,[],[f142,f1060]) ).
fof(f1281,plain,
! [X0,X1] :
( sK0 != sK2(X0)
| element(X1,X0)
| sK0 != X1 ),
inference(forward_demodulation,[],[f1193,f104]) ).
fof(f1193,plain,
! [X0,X1] :
( element(relation_dom(sK3(X1)),X0)
| sK0 != sK2(X0)
| sK0 != X1 ),
inference(superposition,[],[f101,f1082]) ).
fof(f1364,plain,
! [X0,X1] :
( ~ empty(sK4(X1))
| empty(X0)
| sK0 != X0
| sK0 != X1 ),
inference(superposition,[],[f144,f1320]) ).
fof(f1365,plain,
! [X0,X1] :
( empty(sK4(X1))
| ~ empty(X0)
| sK0 != X0
| sK0 != X1 ),
inference(superposition,[],[f163,f1320]) ).
fof(f1373,plain,
! [X0,X1] :
( ~ empty(sK4(X1))
| empty(X0)
| sK0 != X1
| sK0 != X0 ),
inference(superposition,[],[f144,f1320]) ).
fof(f1374,plain,
! [X0,X1] :
( empty(sK4(X1))
| ~ empty(X0)
| sK0 != X1
| sK0 != X0 ),
inference(superposition,[],[f163,f1320]) ).
fof(f1388,plain,
( ! [X0,X1] :
( ~ empty(sK4(X1))
| sK0 != X0
| sK0 != X1 )
| ~ spl12_4 ),
inference(subsumption_resolution,[],[f1364,f1326]) ).
fof(f1377,plain,
! [X0,X1] :
( empty_set = apply(sK4(X1),empty_set)
| sK0 != X1
| powerset(X0) != sK0 ),
inference(superposition,[],[f767,f1320]) ).
fof(f1389,plain,
( ! [X0,X1] :
( ~ empty(sK4(X1))
| sK0 != X1
| sK0 != X0 )
| ~ spl12_4 ),
inference(subsumption_resolution,[],[f1373,f1326]) ).
fof(f1371,plain,
! [X0,X1] :
( relation_dom(sK4(X1)) = X0
| sK0 != X1
| sK0 != X0 ),
inference(superposition,[],[f108,f1320]) ).
fof(f1368,plain,
! [X0,X1] :
( empty_set = apply(sK4(X1),empty_set)
| powerset(X0) != sK0
| sK0 != X1 ),
inference(superposition,[],[f767,f1320]) ).
fof(f1362,plain,
! [X0,X1] :
( relation_dom(sK4(X1)) = X0
| sK0 != X0
| sK0 != X1 ),
inference(superposition,[],[f108,f1320]) ).
fof(f1359,plain,
! [X2,X0,X1] :
( relation_dom(sK3(X1)) = sK4(X2)
| sK0 != X2
| sK0 != X0
| sK0 != sK4(X0)
| sK0 != X1 ),
inference(superposition,[],[f1320,f1082]) ).
fof(f1354,plain,
! [X2,X0,X1] :
( relation_dom(sK3(X1)) = sK4(X2)
| sK0 != X0
| sK0 != X2
| sK0 != sK4(X0)
| sK0 != X1 ),
inference(superposition,[],[f1320,f1082]) ).
fof(f1320,plain,
! [X0,X1] :
( sK4(X0) = sK4(X1)
| sK0 != X0
| sK0 != X1 ),
inference(subsumption_resolution,[],[f1319,f106]) ).
fof(f1319,plain,
! [X0,X1] :
( sK0 != X0
| sK4(X0) = sK4(X1)
| sK0 != X1
| ~ relation(sK4(X0)) ),
inference(subsumption_resolution,[],[f1315,f107]) ).
fof(f1315,plain,
! [X0,X1] :
( sK0 != X0
| sK4(X0) = sK4(X1)
| sK0 != X1
| ~ function(sK4(X0))
| ~ relation(sK4(X0)) ),
inference(superposition,[],[f968,f108]) ).
fof(f1303,plain,
! [X0,X1] :
( function(X1)
| sK0 != sK4(X0)
| sK0 != X1 ),
inference(forward_demodulation,[],[f1218,f104]) ).
fof(f1218,plain,
! [X0,X1] :
( function(relation_dom(sK3(X1)))
| sK0 != sK4(X0)
| sK0 != X1 ),
inference(superposition,[],[f107,f1082]) ).
fof(f1302,plain,
! [X0,X1] :
( relation(X1)
| sK0 != sK4(X0)
| sK0 != X1 ),
inference(forward_demodulation,[],[f1217,f104]) ).
fof(f1217,plain,
! [X0,X1] :
( relation(relation_dom(sK3(X1)))
| sK0 != sK4(X0)
| sK0 != X1 ),
inference(superposition,[],[f106,f1082]) ).
fof(f1295,plain,
! [X0,X1] :
( relation(X1)
| sK0 != sK3(X0)
| sK0 != X1 ),
inference(forward_demodulation,[],[f1207,f104]) ).
fof(f1207,plain,
! [X0,X1] :
( relation(relation_dom(sK3(X1)))
| sK0 != sK3(X0)
| sK0 != X1 ),
inference(superposition,[],[f102,f1082]) ).
fof(f1235,plain,
! [X0,X1] :
( ~ empty(X1)
| powerset(X0) != sK0
| sK0 != X1 ),
inference(forward_demodulation,[],[f1142,f104]) ).
fof(f1142,plain,
! [X0,X1] :
( ~ empty(relation_dom(sK3(X1)))
| powerset(X0) != sK0
| sK0 != X1 ),
inference(superposition,[],[f92,f1082]) ).
fof(f968,plain,
! [X0,X1] :
( relation_dom(X1) != sK0
| sK4(X0) = X1
| sK0 != X0
| ~ function(X1)
| ~ relation(X1) ),
inference(subsumption_resolution,[],[f967,f106]) ).
fof(f967,plain,
! [X0,X1] :
( sK0 != X0
| sK4(X0) = X1
| relation_dom(X1) != sK0
| ~ relation(sK4(X0))
| ~ function(X1)
| ~ relation(X1) ),
inference(subsumption_resolution,[],[f963,f107]) ).
fof(f963,plain,
! [X0,X1] :
( sK0 != X0
| sK4(X0) = X1
| relation_dom(X1) != sK0
| ~ function(sK4(X0))
| ~ relation(sK4(X0))
| ~ function(X1)
| ~ relation(X1) ),
inference(superposition,[],[f83,f108]) ).
fof(f1134,plain,
! [X0,X1] :
( sK0 != X1
| X0 = X1
| sK0 != X0 ),
inference(superposition,[],[f1082,f104]) ).
fof(f1308,plain,
! [X0,X1] :
( empty_set = apply(X1,empty_set)
| sK0 != sK4(powerset(X0))
| sK0 != X1 ),
inference(forward_demodulation,[],[f1224,f104]) ).
fof(f1224,plain,
! [X0,X1] :
( empty_set = apply(relation_dom(sK3(X1)),empty_set)
| sK0 != sK4(powerset(X0))
| sK0 != X1 ),
inference(superposition,[],[f767,f1082]) ).
fof(f1223,plain,
! [X2,X0,X1] :
( relation_dom(sK3(X1)) = sK3(X2)
| sK0 != X0
| sK0 != X2
| sK0 != sK4(X0)
| sK0 != X1 ),
inference(superposition,[],[f1062,f1082]) ).
fof(f1307,plain,
! [X0,X1] :
( empty(X1)
| ~ empty(X0)
| sK0 != sK4(X0)
| sK0 != X1 ),
inference(forward_demodulation,[],[f1222,f104]) ).
fof(f1222,plain,
! [X0,X1] :
( empty(relation_dom(sK3(X1)))
| ~ empty(X0)
| sK0 != sK4(X0)
| sK0 != X1 ),
inference(superposition,[],[f163,f1082]) ).
fof(f1306,plain,
! [X0,X1] :
( ~ empty(X1)
| empty(X0)
| sK0 != sK4(X0)
| sK0 != X1 ),
inference(forward_demodulation,[],[f1221,f104]) ).
fof(f1221,plain,
! [X0,X1] :
( ~ empty(relation_dom(sK3(X1)))
| empty(X0)
| sK0 != sK4(X0)
| sK0 != X1 ),
inference(superposition,[],[f144,f1082]) ).
fof(f1305,plain,
! [X0,X1] :
( ~ empty(X1)
| relation(X0)
| sK0 != sK4(X0)
| sK0 != X1 ),
inference(forward_demodulation,[],[f1220,f104]) ).
fof(f1220,plain,
! [X0,X1] :
( ~ empty(relation_dom(sK3(X1)))
| relation(X0)
| sK0 != sK4(X0)
| sK0 != X1 ),
inference(superposition,[],[f143,f1082]) ).
fof(f1304,plain,
! [X0,X1] :
( relation_dom(X1) = X0
| sK0 != sK4(X0)
| sK0 != X1 ),
inference(forward_demodulation,[],[f1219,f104]) ).
fof(f1219,plain,
! [X0,X1] :
( relation_dom(relation_dom(sK3(X1))) = X0
| sK0 != sK4(X0)
| sK0 != X1 ),
inference(superposition,[],[f108,f1082]) ).
fof(f1301,plain,
! [X0,X1] :
( n1 = apply(X1,empty_set)
| sK0 != sK3(powerset(X0))
| sK0 != X1 ),
inference(forward_demodulation,[],[f1216,f104]) ).
fof(f1216,plain,
! [X0,X1] :
( n1 = apply(relation_dom(sK3(X1)),empty_set)
| sK0 != sK3(powerset(X0))
| sK0 != X1 ),
inference(superposition,[],[f360,f1082]) ).
fof(f1215,plain,
! [X2,X0,X1] :
( relation_dom(sK3(X1)) = sK4(X2)
| sK0 != X2
| sK0 != X0
| sK0 != sK3(X0)
| sK0 != X1 ),
inference(superposition,[],[f1062,f1082]) ).
fof(f1214,plain,
! [X2,X0,X1] :
( relation_dom(sK3(X1)) = sK3(X2)
| sK0 != X2
| sK0 != X0
| sK0 != sK3(X0)
| sK0 != X1 ),
inference(superposition,[],[f1060,f1082]) ).
fof(f1213,plain,
! [X2,X0,X1] :
( relation_dom(sK3(X1)) = sK3(X2)
| sK0 != X0
| sK0 != X2
| sK0 != sK3(X0)
| sK0 != X1 ),
inference(superposition,[],[f1060,f1082]) ).
fof(f1300,plain,
! [X0,X1] :
( empty(X1)
| ~ empty(X0)
| sK0 != sK3(X0)
| sK0 != X1 ),
inference(forward_demodulation,[],[f1212,f104]) ).
fof(f1212,plain,
! [X0,X1] :
( empty(relation_dom(sK3(X1)))
| ~ empty(X0)
| sK0 != sK3(X0)
| sK0 != X1 ),
inference(superposition,[],[f162,f1082]) ).
fof(f1299,plain,
! [X0,X1] :
( ~ empty(X1)
| empty(X0)
| sK0 != sK3(X0)
| sK0 != X1 ),
inference(forward_demodulation,[],[f1211,f104]) ).
fof(f1211,plain,
! [X0,X1] :
( ~ empty(relation_dom(sK3(X1)))
| empty(X0)
| sK0 != sK3(X0)
| sK0 != X1 ),
inference(superposition,[],[f142,f1082]) ).
fof(f1298,plain,
! [X0,X1] :
( ~ empty(X1)
| relation(X0)
| sK0 != sK3(X0)
| sK0 != X1 ),
inference(forward_demodulation,[],[f1210,f104]) ).
fof(f1210,plain,
! [X0,X1] :
( ~ empty(relation_dom(sK3(X1)))
| relation(X0)
| sK0 != sK3(X0)
| sK0 != X1 ),
inference(superposition,[],[f141,f1082]) ).
fof(f1297,plain,
! [X0,X1] :
( relation_dom(X1) = X0
| sK0 != sK3(X0)
| sK0 != X1 ),
inference(forward_demodulation,[],[f1209,f104]) ).
fof(f1209,plain,
! [X0,X1] :
( relation_dom(relation_dom(sK3(X1))) = X0
| sK0 != sK3(X0)
| sK0 != X1 ),
inference(superposition,[],[f104,f1082]) ).
fof(f1296,plain,
! [X0,X1] :
( function(X1)
| sK0 != sK3(X0)
| sK0 != X1 ),
inference(forward_demodulation,[],[f1208,f104]) ).
fof(f1208,plain,
! [X0,X1] :
( function(relation_dom(sK3(X1)))
| sK0 != sK3(X0)
| sK0 != X1 ),
inference(superposition,[],[f103,f1082]) ).
fof(f1294,plain,
! [X0,X1] :
( element(X1,X0)
| empty(X0)
| sK0 != sK2(sK1(sK1(X0)))
| sK0 != X1 ),
inference(forward_demodulation,[],[f1206,f104]) ).
fof(f1206,plain,
! [X0,X1] :
( element(relation_dom(sK3(X1)),X0)
| empty(X0)
| sK0 != sK2(sK1(sK1(X0)))
| sK0 != X1 ),
inference(superposition,[],[f988,f1082]) ).
fof(f1293,plain,
! [X0,X1] :
( in(X1,X0)
| empty(X0)
| sK0 != sK2(sK1(sK1(X0)))
| sK0 != X1 ),
inference(forward_demodulation,[],[f1205,f104]) ).
fof(f1205,plain,
! [X0,X1] :
( in(relation_dom(sK3(X1)),X0)
| empty(X0)
| sK0 != sK2(sK1(sK1(X0)))
| sK0 != X1 ),
inference(superposition,[],[f1031,f1082]) ).
fof(f1292,plain,
! [X0,X1] :
( ~ in(X0,X1)
| empty(X0)
| sK0 != sK2(sK1(sK1(X0)))
| sK0 != X1 ),
inference(forward_demodulation,[],[f1204,f104]) ).
fof(f1204,plain,
! [X0,X1] :
( ~ in(X0,relation_dom(sK3(X1)))
| empty(X0)
| sK0 != sK2(sK1(sK1(X0)))
| sK0 != X1 ),
inference(superposition,[],[f1067,f1082]) ).
fof(f1290,plain,
! [X2,X0,X1] :
( ~ in(X2,X1)
| ~ empty(X0)
| sK0 != sK2(sK1(powerset(X0)))
| sK0 != X1 ),
inference(forward_demodulation,[],[f1202,f104]) ).
fof(f1202,plain,
! [X2,X0,X1] :
( ~ in(X2,relation_dom(sK3(X1)))
| ~ empty(X0)
| sK0 != sK2(sK1(powerset(X0)))
| sK0 != X1 ),
inference(superposition,[],[f979,f1082]) ).
fof(f1289,plain,
! [X0,X1] :
( empty(X1)
| ~ empty(X0)
| sK0 != sK2(sK1(powerset(X0)))
| sK0 != X1 ),
inference(forward_demodulation,[],[f1201,f104]) ).
fof(f1201,plain,
! [X0,X1] :
( empty(relation_dom(sK3(X1)))
| ~ empty(X0)
| sK0 != sK2(sK1(powerset(X0)))
| sK0 != X1 ),
inference(superposition,[],[f989,f1082]) ).
fof(f1288,plain,
! [X0,X1] :
( element(X1,X0)
| empty(X0)
| sK0 != sK2(sK1(X0))
| sK0 != X1 ),
inference(forward_demodulation,[],[f1200,f104]) ).
fof(f1200,plain,
! [X0,X1] :
( element(relation_dom(sK3(X1)),X0)
| empty(X0)
| sK0 != sK2(sK1(X0))
| sK0 != X1 ),
inference(superposition,[],[f973,f1082]) ).
fof(f1287,plain,
! [X0,X1] :
( in(X1,X0)
| empty(X0)
| sK0 != sK2(sK1(X0))
| sK0 != X1 ),
inference(forward_demodulation,[],[f1199,f104]) ).
fof(f1199,plain,
! [X0,X1] :
( in(relation_dom(sK3(X1)),X0)
| empty(X0)
| sK0 != sK2(sK1(X0))
| sK0 != X1 ),
inference(superposition,[],[f977,f1082]) ).
fof(f1286,plain,
! [X0,X1] :
( ~ in(X0,X1)
| empty(X0)
| sK0 != sK2(sK1(X0))
| sK0 != X1 ),
inference(forward_demodulation,[],[f1198,f104]) ).
fof(f1198,plain,
! [X0,X1] :
( ~ in(X0,relation_dom(sK3(X1)))
| empty(X0)
| sK0 != sK2(sK1(X0))
| sK0 != X1 ),
inference(superposition,[],[f983,f1082]) ).
fof(f1284,plain,
! [X2,X0,X1] :
( ~ in(X2,X1)
| ~ empty(X0)
| sK0 != sK2(powerset(X0))
| sK0 != X1 ),
inference(forward_demodulation,[],[f1196,f104]) ).
fof(f1196,plain,
! [X2,X0,X1] :
( ~ in(X2,relation_dom(sK3(X1)))
| ~ empty(X0)
| sK0 != sK2(powerset(X0))
| sK0 != X1 ),
inference(superposition,[],[f765,f1082]) ).
fof(f1283,plain,
! [X0,X1] :
( empty(X1)
| ~ empty(X0)
| sK0 != sK2(powerset(X0))
| sK0 != X1 ),
inference(forward_demodulation,[],[f1195,f104]) ).
fof(f1195,plain,
! [X0,X1] :
( empty(relation_dom(sK3(X1)))
| ~ empty(X0)
| sK0 != sK2(powerset(X0))
| sK0 != X1 ),
inference(superposition,[],[f791,f1082]) ).
fof(f1282,plain,
! [X2,X0,X1] :
( ~ in(X2,X1)
| element(X2,X0)
| sK0 != sK2(powerset(X0))
| sK0 != X1 ),
inference(forward_demodulation,[],[f1194,f104]) ).
fof(f1194,plain,
! [X2,X0,X1] :
( ~ in(X2,relation_dom(sK3(X1)))
| element(X2,X0)
| sK0 != sK2(powerset(X0))
| sK0 != X1 ),
inference(superposition,[],[f843,f1082]) ).
fof(f1280,plain,
! [X0,X1] :
( in(X1,X0)
| empty(X0)
| sK0 != sK2(X0)
| sK0 != X1 ),
inference(forward_demodulation,[],[f1192,f104]) ).
fof(f1192,plain,
! [X0,X1] :
( in(relation_dom(sK3(X1)),X0)
| empty(X0)
| sK0 != sK2(X0)
| sK0 != X1 ),
inference(superposition,[],[f297,f1082]) ).
fof(f1279,plain,
! [X0,X1] :
( ~ in(X0,X1)
| empty(X0)
| sK0 != sK2(X0)
| sK0 != X1 ),
inference(forward_demodulation,[],[f1191,f104]) ).
fof(f1191,plain,
! [X0,X1] :
( ~ in(X0,relation_dom(sK3(X1)))
| empty(X0)
| sK0 != sK2(X0)
| sK0 != X1 ),
inference(superposition,[],[f302,f1082]) ).
fof(f1278,plain,
! [X0,X1] :
( element(sK2(X1),X0)
| empty(X0)
| sK0 != sK1(sK1(X0))
| sK0 != X1 ),
inference(forward_demodulation,[],[f1190,f104]) ).
fof(f1190,plain,
! [X0,X1] :
( element(sK2(relation_dom(sK3(X1))),X0)
| empty(X0)
| sK0 != sK1(sK1(X0))
| sK0 != X1 ),
inference(superposition,[],[f988,f1082]) ).
fof(f1277,plain,
! [X0,X1] :
( in(sK2(X1),X0)
| empty(X0)
| sK0 != sK1(sK1(X0))
| sK0 != X1 ),
inference(forward_demodulation,[],[f1189,f104]) ).
fof(f1189,plain,
! [X0,X1] :
( in(sK2(relation_dom(sK3(X1))),X0)
| empty(X0)
| sK0 != sK1(sK1(X0))
| sK0 != X1 ),
inference(superposition,[],[f1031,f1082]) ).
fof(f1276,plain,
! [X0,X1] :
( ~ in(X0,sK2(X1))
| empty(X0)
| sK0 != sK1(sK1(X0))
| sK0 != X1 ),
inference(forward_demodulation,[],[f1188,f104]) ).
fof(f1188,plain,
! [X0,X1] :
( ~ in(X0,sK2(relation_dom(sK3(X1))))
| empty(X0)
| sK0 != sK1(sK1(X0))
| sK0 != X1 ),
inference(superposition,[],[f1067,f1082]) ).
fof(f1275,plain,
! [X0] :
( empty_set = sK2(X0)
| sK0 != sK1(powerset(empty_set))
| sK0 != X0 ),
inference(forward_demodulation,[],[f1187,f104]) ).
fof(f1187,plain,
! [X0] :
( empty_set = sK2(relation_dom(sK3(X0)))
| sK0 != sK1(powerset(empty_set))
| sK0 != X0 ),
inference(superposition,[],[f1034,f1082]) ).
fof(f1274,plain,
! [X0] :
( element(empty_set,X0)
| sK0 != sK1(powerset(empty_set))
| sK0 != X0 ),
inference(forward_demodulation,[],[f1186,f104]) ).
fof(f1186,plain,
! [X0] :
( element(empty_set,relation_dom(sK3(X0)))
| sK0 != sK1(powerset(empty_set))
| sK0 != X0 ),
inference(superposition,[],[f1055,f1082]) ).
fof(f1273,plain,
! [X2,X0,X1] :
( ~ in(X2,sK2(X1))
| ~ empty(X0)
| sK0 != sK1(powerset(X0))
| sK0 != X1 ),
inference(forward_demodulation,[],[f1185,f104]) ).
fof(f1185,plain,
! [X2,X0,X1] :
( ~ in(X2,sK2(relation_dom(sK3(X1))))
| ~ empty(X0)
| sK0 != sK1(powerset(X0))
| sK0 != X1 ),
inference(superposition,[],[f979,f1082]) ).
fof(f1272,plain,
! [X0,X1] :
( empty(sK2(X1))
| ~ empty(X0)
| sK0 != sK1(powerset(X0))
| sK0 != X1 ),
inference(forward_demodulation,[],[f1184,f104]) ).
fof(f1184,plain,
! [X0,X1] :
( empty(sK2(relation_dom(sK3(X1))))
| ~ empty(X0)
| sK0 != sK1(powerset(X0))
| sK0 != X1 ),
inference(superposition,[],[f989,f1082]) ).
fof(f1271,plain,
! [X0,X1] :
( ~ in(X0,sK2(sK1(X1)))
| empty(X0)
| sK0 != sK1(X0)
| sK0 != X1 ),
inference(forward_demodulation,[],[f1183,f104]) ).
fof(f1183,plain,
! [X0,X1] :
( ~ in(X0,sK2(sK1(relation_dom(sK3(X1)))))
| empty(X0)
| sK0 != sK1(X0)
| sK0 != X1 ),
inference(superposition,[],[f1067,f1082]) ).
fof(f1270,plain,
! [X0,X1] :
( in(sK2(sK1(X1)),X0)
| empty(X0)
| sK0 != sK1(X0)
| sK0 != X1 ),
inference(forward_demodulation,[],[f1182,f104]) ).
fof(f1182,plain,
! [X0,X1] :
( in(sK2(sK1(relation_dom(sK3(X1)))),X0)
| empty(X0)
| sK0 != sK1(X0)
| sK0 != X1 ),
inference(superposition,[],[f1031,f1082]) ).
fof(f1269,plain,
! [X0,X1] :
( element(sK2(sK1(X1)),X0)
| empty(X0)
| sK0 != sK1(X0)
| sK0 != X1 ),
inference(forward_demodulation,[],[f1181,f104]) ).
fof(f1181,plain,
! [X0,X1] :
( element(sK2(sK1(relation_dom(sK3(X1)))),X0)
| empty(X0)
| sK0 != sK1(X0)
| sK0 != X1 ),
inference(superposition,[],[f988,f1082]) ).
fof(f1268,plain,
! [X0,X1] :
( ~ in(X0,sK2(X1))
| empty(X0)
| sK0 != sK1(X0)
| sK0 != X1 ),
inference(forward_demodulation,[],[f1180,f104]) ).
fof(f1180,plain,
! [X0,X1] :
( ~ in(X0,sK2(relation_dom(sK3(X1))))
| empty(X0)
| sK0 != sK1(X0)
| sK0 != X1 ),
inference(superposition,[],[f983,f1082]) ).
fof(f1267,plain,
! [X0,X1] :
( in(sK2(X1),X0)
| empty(X0)
| sK0 != sK1(X0)
| sK0 != X1 ),
inference(forward_demodulation,[],[f1179,f104]) ).
fof(f1179,plain,
! [X0,X1] :
( in(sK2(relation_dom(sK3(X1))),X0)
| empty(X0)
| sK0 != sK1(X0)
| sK0 != X1 ),
inference(superposition,[],[f977,f1082]) ).
fof(f1266,plain,
! [X0,X1] :
( element(sK2(X1),X0)
| empty(X0)
| sK0 != sK1(X0)
| sK0 != X1 ),
inference(forward_demodulation,[],[f1178,f104]) ).
fof(f1178,plain,
! [X0,X1] :
( element(sK2(relation_dom(sK3(X1))),X0)
| empty(X0)
| sK0 != sK1(X0)
| sK0 != X1 ),
inference(superposition,[],[f973,f1082]) ).
fof(f1265,plain,
! [X2,X0,X1] :
( ~ in(X2,X1)
| element(X2,X0)
| empty(X0)
| sK0 != sK1(X0)
| sK0 != X1 ),
inference(forward_demodulation,[],[f1177,f104]) ).
fof(f1177,plain,
! [X2,X0,X1] :
( ~ in(X2,relation_dom(sK3(X1)))
| element(X2,X0)
| empty(X0)
| sK0 != sK1(X0)
| sK0 != X1 ),
inference(superposition,[],[f842,f1082]) ).
fof(f1264,plain,
! [X0,X1] :
( ~ in(powerset(X0),X1)
| empty(X0)
| sK0 != sK1(X0)
| sK0 != X1 ),
inference(forward_demodulation,[],[f1176,f104]) ).
fof(f1176,plain,
! [X0,X1] :
( ~ in(powerset(X0),relation_dom(sK3(X1)))
| empty(X0)
| sK0 != sK1(X0)
| sK0 != X1 ),
inference(superposition,[],[f304,f1082]) ).
fof(f1263,plain,
! [X0,X1] :
( in(X1,powerset(X0))
| empty(X0)
| sK0 != sK1(X0)
| sK0 != X1 ),
inference(forward_demodulation,[],[f1175,f104]) ).
fof(f1175,plain,
! [X0,X1] :
( in(relation_dom(sK3(X1)),powerset(X0))
| empty(X0)
| sK0 != sK1(X0)
| sK0 != X1 ),
inference(superposition,[],[f300,f1082]) ).
fof(f1262,plain,
! [X0,X1] :
( ~ empty(X1)
| empty(X0)
| sK0 != sK1(X0)
| sK0 != X1 ),
inference(forward_demodulation,[],[f1174,f104]) ).
fof(f1174,plain,
! [X0,X1] :
( ~ empty(relation_dom(sK3(X1)))
| empty(X0)
| sK0 != sK1(X0)
| sK0 != X1 ),
inference(superposition,[],[f94,f1082]) ).
fof(f1261,plain,
! [X0,X1] :
( element(X1,powerset(X0))
| empty(X0)
| sK0 != sK1(X0)
| sK0 != X1 ),
inference(forward_demodulation,[],[f1173,f104]) ).
fof(f1173,plain,
! [X0,X1] :
( element(relation_dom(sK3(X1)),powerset(X0))
| empty(X0)
| sK0 != sK1(X0)
| sK0 != X1 ),
inference(superposition,[],[f93,f1082]) ).
fof(f1170,plain,
! [X0,X1] :
( relation_dom(sK3(X1)) = X0
| sK0 != relation_dom(sK4(X0))
| sK0 != X1 ),
inference(superposition,[],[f108,f1082]) ).
fof(f1169,plain,
! [X0,X1] :
( relation_dom(sK3(X1)) = X0
| sK0 != relation_dom(sK3(X0))
| sK0 != X1 ),
inference(superposition,[],[f104,f1082]) ).
fof(f1258,plain,
! [X0,X1] :
( empty(X1)
| ~ empty(X0)
| relation_dom(X0) != sK0
| sK0 != X1 ),
inference(forward_demodulation,[],[f1168,f104]) ).
fof(f1168,plain,
! [X0,X1] :
( empty(relation_dom(sK3(X1)))
| ~ empty(X0)
| relation_dom(X0) != sK0
| sK0 != X1 ),
inference(superposition,[],[f98,f1082]) ).
fof(f1257,plain,
! [X0,X1] :
( relation(X1)
| ~ empty(X0)
| relation_dom(X0) != sK0
| sK0 != X1 ),
inference(forward_demodulation,[],[f1167,f104]) ).
fof(f1167,plain,
! [X0,X1] :
( relation(relation_dom(sK3(X1)))
| ~ empty(X0)
| relation_dom(X0) != sK0
| sK0 != X1 ),
inference(superposition,[],[f99,f1082]) ).
fof(f1256,plain,
! [X0,X1] :
( ~ empty(X1)
| ~ relation(X0)
| empty(X0)
| relation_dom(X0) != sK0
| sK0 != X1 ),
inference(forward_demodulation,[],[f1166,f104]) ).
fof(f1166,plain,
! [X0,X1] :
( ~ empty(relation_dom(sK3(X1)))
| ~ relation(X0)
| empty(X0)
| relation_dom(X0) != sK0
| sK0 != X1 ),
inference(superposition,[],[f100,f1082]) ).
fof(f1255,plain,
! [X0,X1] :
( ~ subset(X1,X0)
| sK0 != powerset(powerset(X0))
| sK0 != X1 ),
inference(forward_demodulation,[],[f1163,f104]) ).
fof(f1163,plain,
! [X0,X1] :
( ~ subset(relation_dom(sK3(X1)),X0)
| sK0 != powerset(powerset(X0))
| sK0 != X1 ),
inference(superposition,[],[f440,f1082]) ).
fof(f1254,plain,
! [X0,X1] :
( empty(sK2(sK1(X1)))
| ~ empty(X0)
| powerset(X0) != sK0
| sK0 != X1 ),
inference(forward_demodulation,[],[f1162,f104]) ).
fof(f1162,plain,
! [X0,X1] :
( empty(sK2(sK1(relation_dom(sK3(X1)))))
| ~ empty(X0)
| powerset(X0) != sK0
| sK0 != X1 ),
inference(superposition,[],[f989,f1082]) ).
fof(f1253,plain,
! [X2,X0,X1] :
( ~ in(X2,sK2(sK1(X1)))
| ~ empty(X0)
| powerset(X0) != sK0
| sK0 != X1 ),
inference(forward_demodulation,[],[f1161,f104]) ).
fof(f1161,plain,
! [X2,X0,X1] :
( ~ in(X2,sK2(sK1(relation_dom(sK3(X1)))))
| ~ empty(X0)
| powerset(X0) != sK0
| sK0 != X1 ),
inference(superposition,[],[f979,f1082]) ).
fof(f1252,plain,
! [X2,X0,X1] :
( ~ in(X2,sK2(X1))
| element(X2,X0)
| powerset(X0) != sK0
| sK0 != X1 ),
inference(forward_demodulation,[],[f1160,f104]) ).
fof(f1160,plain,
! [X2,X0,X1] :
( ~ in(X2,sK2(relation_dom(sK3(X1))))
| element(X2,X0)
| powerset(X0) != sK0
| sK0 != X1 ),
inference(superposition,[],[f843,f1082]) ).
fof(f1251,plain,
! [X0,X1] :
( empty(sK2(X1))
| ~ empty(X0)
| powerset(X0) != sK0
| sK0 != X1 ),
inference(forward_demodulation,[],[f1159,f104]) ).
fof(f1159,plain,
! [X0,X1] :
( empty(sK2(relation_dom(sK3(X1))))
| ~ empty(X0)
| powerset(X0) != sK0
| sK0 != X1 ),
inference(superposition,[],[f791,f1082]) ).
fof(f1250,plain,
! [X0,X1] :
( empty_set = apply(sK4(X1),empty_set)
| powerset(X0) != sK0
| sK0 != X1 ),
inference(forward_demodulation,[],[f1158,f104]) ).
fof(f1158,plain,
! [X0,X1] :
( empty_set = apply(sK4(relation_dom(sK3(X1))),empty_set)
| powerset(X0) != sK0
| sK0 != X1 ),
inference(superposition,[],[f767,f1082]) ).
fof(f1249,plain,
! [X2,X0,X1] :
( ~ in(X2,sK2(X1))
| ~ empty(X0)
| powerset(X0) != sK0
| sK0 != X1 ),
inference(forward_demodulation,[],[f1157,f104]) ).
fof(f1157,plain,
! [X2,X0,X1] :
( ~ in(X2,sK2(relation_dom(sK3(X1))))
| ~ empty(X0)
| powerset(X0) != sK0
| sK0 != X1 ),
inference(superposition,[],[f765,f1082]) ).
fof(f1248,plain,
! [X0,X1] :
( ~ subset(powerset(X1),X0)
| powerset(X0) != sK0
| sK0 != X1 ),
inference(forward_demodulation,[],[f1156,f104]) ).
fof(f1156,plain,
! [X0,X1] :
( ~ subset(powerset(relation_dom(sK3(X1))),X0)
| powerset(X0) != sK0
| sK0 != X1 ),
inference(superposition,[],[f440,f1082]) ).
fof(f1247,plain,
! [X0,X1] :
( n1 = apply(sK3(X1),empty_set)
| powerset(X0) != sK0
| sK0 != X1 ),
inference(forward_demodulation,[],[f1155,f104]) ).
fof(f1155,plain,
! [X0,X1] :
( n1 = apply(sK3(relation_dom(sK3(X1))),empty_set)
| powerset(X0) != sK0
| sK0 != X1 ),
inference(superposition,[],[f360,f1082]) ).
fof(f1246,plain,
! [X2,X0,X1] :
( ~ subset(X1,X2)
| ~ subset(powerset(X2),X0)
| powerset(X0) != sK0
| sK0 != X1 ),
inference(forward_demodulation,[],[f1154,f104]) ).
fof(f1154,plain,
! [X2,X0,X1] :
( ~ subset(relation_dom(sK3(X1)),X2)
| ~ subset(powerset(X2),X0)
| powerset(X0) != sK0
| sK0 != X1 ),
inference(superposition,[],[f305,f1082]) ).
fof(f1245,plain,
! [X0,X1] :
( ~ in(X1,sK1(X0))
| empty(X0)
| powerset(X0) != sK0
| sK0 != X1 ),
inference(forward_demodulation,[],[f1153,f104]) ).
fof(f1153,plain,
! [X0,X1] :
( ~ in(relation_dom(sK3(X1)),sK1(X0))
| empty(X0)
| powerset(X0) != sK0
| sK0 != X1 ),
inference(superposition,[],[f304,f1082]) ).
fof(f1244,plain,
! [X2,X0,X1] :
( ~ in(X1,X2)
| ~ subset(X2,X0)
| powerset(X0) != sK0
| sK0 != X1 ),
inference(forward_demodulation,[],[f1152,f104]) ).
fof(f1152,plain,
! [X2,X0,X1] :
( ~ in(relation_dom(sK3(X1)),X2)
| ~ subset(X2,X0)
| powerset(X0) != sK0
| sK0 != X1 ),
inference(superposition,[],[f303,f1082]) ).
fof(f1243,plain,
! [X0,X1] :
( in(sK1(X0),X1)
| empty(X0)
| powerset(X0) != sK0
| sK0 != X1 ),
inference(forward_demodulation,[],[f1150,f104]) ).
fof(f1150,plain,
! [X0,X1] :
( in(sK1(X0),relation_dom(sK3(X1)))
| empty(X0)
| powerset(X0) != sK0
| sK0 != X1 ),
inference(superposition,[],[f300,f1082]) ).
fof(f1242,plain,
! [X0,X1] :
( in(empty_set,X1)
| powerset(X0) != sK0
| sK0 != X1 ),
inference(forward_demodulation,[],[f1149,f104]) ).
fof(f1149,plain,
! [X0,X1] :
( in(empty_set,relation_dom(sK3(X1)))
| powerset(X0) != sK0
| sK0 != X1 ),
inference(superposition,[],[f299,f1082]) ).
fof(f1241,plain,
! [X2,X0,X1] :
( in(X2,X1)
| ~ subset(X2,X0)
| powerset(X0) != sK0
| sK0 != X1 ),
inference(forward_demodulation,[],[f1148,f104]) ).
fof(f1148,plain,
! [X2,X0,X1] :
( in(X2,relation_dom(sK3(X1)))
| ~ subset(X2,X0)
| powerset(X0) != sK0
| sK0 != X1 ),
inference(superposition,[],[f298,f1082]) ).
fof(f1240,plain,
! [X0,X1] :
( element(empty_set,X1)
| powerset(X0) != sK0
| sK0 != X1 ),
inference(forward_demodulation,[],[f1147,f104]) ).
fof(f1147,plain,
! [X0,X1] :
( element(empty_set,relation_dom(sK3(X1)))
| powerset(X0) != sK0
| sK0 != X1 ),
inference(superposition,[],[f145,f1082]) ).
fof(f1239,plain,
! [X2,X3,X0,X1] :
( ~ element(X2,X1)
| ~ empty(X0)
| ~ in(X3,X2)
| powerset(X0) != sK0
| sK0 != X1 ),
inference(forward_demodulation,[],[f1146,f104]) ).
fof(f1146,plain,
! [X2,X3,X0,X1] :
( ~ element(X2,relation_dom(sK3(X1)))
| ~ empty(X0)
| ~ in(X3,X2)
| powerset(X0) != sK0
| sK0 != X1 ),
inference(superposition,[],[f120,f1082]) ).
fof(f1238,plain,
! [X2,X3,X0,X1] :
( ~ element(X2,X1)
| element(X3,X0)
| ~ in(X3,X2)
| powerset(X0) != sK0
| sK0 != X1 ),
inference(forward_demodulation,[],[f1145,f104]) ).
fof(f1145,plain,
! [X2,X3,X0,X1] :
( ~ element(X2,relation_dom(sK3(X1)))
| element(X3,X0)
| ~ in(X3,X2)
| powerset(X0) != sK0
| sK0 != X1 ),
inference(superposition,[],[f119,f1082]) ).
fof(f1237,plain,
! [X2,X0,X1] :
( element(X2,X1)
| ~ subset(X2,X0)
| powerset(X0) != sK0
| sK0 != X1 ),
inference(forward_demodulation,[],[f1144,f104]) ).
fof(f1144,plain,
! [X2,X0,X1] :
( element(X2,relation_dom(sK3(X1)))
| ~ subset(X2,X0)
| powerset(X0) != sK0
| sK0 != X1 ),
inference(superposition,[],[f116,f1082]) ).
fof(f1236,plain,
! [X0,X1] :
( element(sK1(X0),X1)
| empty(X0)
| powerset(X0) != sK0
| sK0 != X1 ),
inference(forward_demodulation,[],[f1143,f104]) ).
fof(f1143,plain,
! [X0,X1] :
( element(sK1(X0),relation_dom(sK3(X1)))
| empty(X0)
| powerset(X0) != sK0
| sK0 != X1 ),
inference(superposition,[],[f93,f1082]) ).
fof(f1141,plain,
! [X0,X1] :
( empty(X1)
| ~ empty(sK3(X0))
| sK0 != X1
| sK0 != X0 ),
inference(superposition,[],[f98,f1082]) ).
fof(f1140,plain,
! [X0,X1] :
( relation(X1)
| ~ empty(sK3(X0))
| sK0 != X1
| sK0 != X0 ),
inference(superposition,[],[f99,f1082]) ).
fof(f1234,plain,
! [X0,X1] :
( ~ empty(X1)
| empty(sK3(X0))
| sK0 != X1
| sK0 != X0 ),
inference(subsumption_resolution,[],[f1139,f102]) ).
fof(f1139,plain,
! [X0,X1] :
( ~ empty(X1)
| ~ relation(sK3(X0))
| empty(sK3(X0))
| sK0 != X1
| sK0 != X0 ),
inference(superposition,[],[f100,f1082]) ).
fof(f1136,plain,
! [X0,X1] :
( X0 = X1
| sK0 != X1
| sK0 != X0 ),
inference(superposition,[],[f104,f1082]) ).
fof(f1229,plain,
! [X2,X0,X1] :
( X1 = X2
| sK0 != X2
| sK0 != X0
| sK0 != X1 ),
inference(duplicate_literal_removal,[],[f1133]) ).
fof(f1133,plain,
! [X2,X0,X1] :
( X1 = X2
| sK0 != X2
| sK0 != X0
| sK0 != X1
| sK0 != X0 ),
inference(superposition,[],[f1082,f1082]) ).
fof(f1233,plain,
! [X2,X0,X1] :
( relation_dom(X1) = X2
| sK0 != X2
| sK0 != X0
| sK0 != sK3(X0)
| sK0 != X1 ),
inference(forward_demodulation,[],[f1132,f104]) ).
fof(f1132,plain,
! [X2,X0,X1] :
( relation_dom(relation_dom(sK3(X1))) = X2
| sK0 != X2
| sK0 != X0
| sK0 != sK3(X0)
| sK0 != X1 ),
inference(superposition,[],[f1082,f1082]) ).
fof(f1232,plain,
! [X2,X0,X1] :
( relation_dom(sK4(X1)) = X2
| sK0 != X2
| sK0 != X0
| sK0 != X1 ),
inference(duplicate_literal_removal,[],[f1129]) ).
fof(f1129,plain,
! [X2,X0,X1] :
( relation_dom(sK4(X1)) = X2
| sK0 != X2
| sK0 != X0
| sK0 != X1
| sK0 != X0 ),
inference(superposition,[],[f1082,f1062]) ).
fof(f1082,plain,
! [X0,X1] :
( relation_dom(sK3(X1)) = X0
| sK0 != X0
| sK0 != X1 ),
inference(superposition,[],[f104,f1060]) ).
fof(f1121,plain,
! [X0,X1] :
( n1 = apply(sK4(X1),empty_set)
| sK0 != X1
| powerset(X0) != sK0 ),
inference(superposition,[],[f360,f1062]) ).
fof(f1118,plain,
! [X0,X1] :
( empty(sK4(X1))
| ~ empty(X0)
| sK0 != X1
| sK0 != X0 ),
inference(superposition,[],[f162,f1062]) ).
fof(f1117,plain,
! [X0,X1] :
( ~ empty(sK4(X1))
| empty(X0)
| sK0 != X1
| sK0 != X0 ),
inference(superposition,[],[f142,f1062]) ).
fof(f1116,plain,
! [X0,X1] :
( ~ empty(sK4(X1))
| relation(X0)
| sK0 != X1
| sK0 != X0 ),
inference(superposition,[],[f141,f1062]) ).
fof(f1115,plain,
! [X0,X1] :
( relation_dom(sK4(X1)) = X0
| sK0 != X1
| sK0 != X0 ),
inference(superposition,[],[f104,f1062]) ).
fof(f1112,plain,
! [X0,X1] :
( empty_set = apply(sK3(X1),empty_set)
| powerset(X0) != sK0
| sK0 != X1 ),
inference(superposition,[],[f767,f1062]) ).
fof(f1110,plain,
! [X0,X1] :
( empty(sK3(X1))
| ~ empty(X0)
| sK0 != X0
| sK0 != X1 ),
inference(superposition,[],[f163,f1062]) ).
fof(f1109,plain,
! [X0,X1] :
( ~ empty(sK3(X1))
| empty(X0)
| sK0 != X0
| sK0 != X1 ),
inference(superposition,[],[f144,f1062]) ).
fof(f1108,plain,
! [X0,X1] :
( ~ empty(sK3(X1))
| relation(X0)
| sK0 != X0
| sK0 != X1 ),
inference(superposition,[],[f143,f1062]) ).
fof(f1107,plain,
! [X0,X1] :
( relation_dom(sK3(X1)) = X0
| sK0 != X0
| sK0 != X1 ),
inference(superposition,[],[f108,f1062]) ).
fof(f1126,plain,
! [X2,X0,X1] :
( sK4(X1) = sK4(X2)
| sK0 != X2
| sK0 != X0
| sK0 != X1 ),
inference(duplicate_literal_removal,[],[f1102]) ).
fof(f1102,plain,
! [X2,X0,X1] :
( sK4(X1) = sK4(X2)
| sK0 != X2
| sK0 != X0
| sK0 != X1
| sK0 != X0 ),
inference(superposition,[],[f1062,f1062]) ).
fof(f1062,plain,
! [X0,X1] :
( sK4(X0) = sK3(X1)
| sK0 != X0
| sK0 != X1 ),
inference(subsumption_resolution,[],[f1061,f106]) ).
fof(f1061,plain,
! [X0,X1] :
( sK0 != X0
| sK4(X0) = sK3(X1)
| sK0 != X1
| ~ relation(sK4(X0)) ),
inference(subsumption_resolution,[],[f1057,f107]) ).
fof(f1057,plain,
! [X0,X1] :
( sK0 != X0
| sK4(X0) = sK3(X1)
| sK0 != X1
| ~ function(sK4(X0))
| ~ relation(sK4(X0)) ),
inference(superposition,[],[f966,f108]) ).
fof(f1095,plain,
! [X0,X1] :
( n1 = apply(sK3(X1),empty_set)
| sK0 != X1
| powerset(X0) != sK0 ),
inference(superposition,[],[f360,f1060]) ).
fof(f1093,plain,
! [X0,X1] :
( empty(sK3(X1))
| ~ empty(X0)
| sK0 != X1
| sK0 != X0 ),
inference(superposition,[],[f162,f1060]) ).
fof(f1092,plain,
! [X0,X1] :
( ~ empty(sK3(X1))
| empty(X0)
| sK0 != X1
| sK0 != X0 ),
inference(superposition,[],[f142,f1060]) ).
fof(f1091,plain,
! [X0,X1] :
( ~ empty(sK3(X1))
| relation(X0)
| sK0 != X1
| sK0 != X0 ),
inference(superposition,[],[f141,f1060]) ).
fof(f1090,plain,
! [X0,X1] :
( relation_dom(sK3(X1)) = X0
| sK0 != X1
| sK0 != X0 ),
inference(superposition,[],[f104,f1060]) ).
fof(f1087,plain,
! [X0,X1] :
( n1 = apply(sK3(X1),empty_set)
| powerset(X0) != sK0
| sK0 != X1 ),
inference(superposition,[],[f360,f1060]) ).
fof(f1085,plain,
! [X0,X1] :
( empty(sK3(X1))
| ~ empty(X0)
| sK0 != X0
| sK0 != X1 ),
inference(superposition,[],[f162,f1060]) ).
fof(f1083,plain,
! [X0,X1] :
( ~ empty(sK3(X1))
| relation(X0)
| sK0 != X0
| sK0 != X1 ),
inference(superposition,[],[f141,f1060]) ).
fof(f1060,plain,
! [X0,X1] :
( sK3(X0) = sK3(X1)
| sK0 != X0
| sK0 != X1 ),
inference(subsumption_resolution,[],[f1059,f102]) ).
fof(f1059,plain,
! [X0,X1] :
( sK0 != X0
| sK3(X0) = sK3(X1)
| sK0 != X1
| ~ relation(sK3(X0)) ),
inference(subsumption_resolution,[],[f1056,f103]) ).
fof(f1056,plain,
! [X0,X1] :
( sK0 != X0
| sK3(X0) = sK3(X1)
| sK0 != X1
| ~ function(sK3(X0))
| ~ relation(sK3(X0)) ),
inference(superposition,[],[f966,f104]) ).
fof(f1067,plain,
! [X0] :
( ~ in(X0,sK2(sK1(sK1(X0))))
| empty(X0) ),
inference(resolution,[],[f1031,f113]) ).
fof(f1070,plain,
! [X0] :
( empty(sK2(powerset(X0)))
| element(sK2(sK1(sK1(sK2(powerset(X0))))),X0) ),
inference(resolution,[],[f1031,f843]) ).
fof(f1073,plain,
! [X0] :
( element(sK2(sK1(sK1(sK1(X0)))),X0)
| empty(X0) ),
inference(subsumption_resolution,[],[f1069,f94]) ).
fof(f1069,plain,
! [X0] :
( empty(sK1(X0))
| element(sK2(sK1(sK1(sK1(X0)))),X0)
| empty(X0) ),
inference(resolution,[],[f1031,f842]) ).
fof(f1066,plain,
! [X0] :
( empty(X0)
| n1 = apply(sK3(X0),sK2(sK1(sK1(X0)))) ),
inference(resolution,[],[f1031,f105]) ).
fof(f1065,plain,
! [X0] :
( empty(X0)
| empty_set = apply(sK4(X0),sK2(sK1(sK1(X0)))) ),
inference(resolution,[],[f1031,f533]) ).
fof(f1031,plain,
! [X0] :
( in(sK2(sK1(sK1(X0))),X0)
| empty(X0) ),
inference(duplicate_literal_removal,[],[f1028]) ).
fof(f1028,plain,
! [X0] :
( empty(X0)
| empty(X0)
| in(sK2(sK1(sK1(X0))),X0) ),
inference(resolution,[],[f988,f115]) ).
fof(f1063,plain,
( empty(sK1(powerset(empty_set)))
| in(empty_set,sK1(powerset(empty_set))) ),
inference(resolution,[],[f1055,f115]) ).
fof(f1055,plain,
element(empty_set,sK1(powerset(empty_set))),
inference(superposition,[],[f101,f1034]) ).
fof(f966,plain,
! [X0,X1] :
( relation_dom(X1) != sK0
| sK3(X0) = X1
| sK0 != X0
| ~ function(X1)
| ~ relation(X1) ),
inference(subsumption_resolution,[],[f965,f102]) ).
fof(f965,plain,
! [X0,X1] :
( sK0 != X0
| sK3(X0) = X1
| relation_dom(X1) != sK0
| ~ relation(sK3(X0))
| ~ function(X1)
| ~ relation(X1) ),
inference(subsumption_resolution,[],[f962,f103]) ).
fof(f962,plain,
! [X0,X1] :
( sK0 != X0
| sK3(X0) = X1
| relation_dom(X1) != sK0
| ~ function(sK3(X0))
| ~ relation(sK3(X0))
| ~ function(X1)
| ~ relation(X1) ),
inference(superposition,[],[f83,f104]) ).
fof(f1054,plain,
( in(empty_set,sK1(powerset(empty_set)))
| empty(sK1(powerset(empty_set))) ),
inference(superposition,[],[f297,f1034]) ).
fof(f1034,plain,
empty_set = sK2(sK1(powerset(empty_set))),
inference(resolution,[],[f991,f87]) ).
fof(f1047,plain,
empty_set = sK2(sK1(powerset(empty_set))),
inference(forward_demodulation,[],[f1043,f134]) ).
fof(f1043,plain,
empty_set = sK2(sK1(powerset(sK11))),
inference(resolution,[],[f991,f128]) ).
fof(f1046,plain,
empty_set = sK2(sK1(powerset(empty_set))),
inference(forward_demodulation,[],[f1042,f133]) ).
fof(f1042,plain,
empty_set = sK2(sK1(powerset(sK7))),
inference(resolution,[],[f991,f122]) ).
fof(f1045,plain,
empty_set = sK2(sK1(powerset(empty_set))),
inference(forward_demodulation,[],[f1041,f132]) ).
fof(f1041,plain,
! [X0] : empty_set = sK2(sK1(powerset(sK5(X0)))),
inference(resolution,[],[f991,f111]) ).
fof(f1040,plain,
! [X0] :
( empty_set = sK2(sK1(powerset(sK4(X0))))
| ~ empty(X0) ),
inference(resolution,[],[f991,f163]) ).
fof(f1039,plain,
! [X0] :
( empty_set = sK2(sK1(powerset(sK3(X0))))
| ~ empty(X0) ),
inference(resolution,[],[f991,f162]) ).
fof(f1038,plain,
! [X0] :
( empty_set = sK2(sK1(powerset(sK2(sK1(powerset(X0))))))
| ~ empty(X0) ),
inference(resolution,[],[f991,f989]) ).
fof(f1037,plain,
! [X0] :
( empty_set = sK2(sK1(powerset(sK2(powerset(X0)))))
| ~ empty(X0) ),
inference(resolution,[],[f991,f791]) ).
fof(f1044,plain,
empty_set = sK2(sK1(powerset(empty_set))),
inference(forward_demodulation,[],[f1036,f131]) ).
fof(f1036,plain,
empty_set = sK2(sK1(powerset(n0))),
inference(resolution,[],[f991,f86]) ).
fof(f1035,plain,
! [X0] :
( empty_set = sK2(sK1(powerset(relation_dom(X0))))
| ~ empty(X0) ),
inference(resolution,[],[f991,f98]) ).
fof(f991,plain,
! [X0] :
( ~ empty(X0)
| empty_set = sK2(sK1(powerset(X0))) ),
inference(resolution,[],[f989,f97]) ).
fof(f1033,plain,
! [X0,X1] :
( ~ empty(X0)
| ~ in(X1,sK2(sK1(sK1(powerset(X0))))) ),
inference(subsumption_resolution,[],[f1030,f92]) ).
fof(f1030,plain,
! [X0,X1] :
( empty(powerset(X0))
| ~ empty(X0)
| ~ in(X1,sK2(sK1(sK1(powerset(X0))))) ),
inference(resolution,[],[f988,f120]) ).
fof(f1032,plain,
! [X0,X1] :
( element(X1,X0)
| ~ in(X1,sK2(sK1(sK1(powerset(X0))))) ),
inference(subsumption_resolution,[],[f1029,f92]) ).
fof(f1029,plain,
! [X0,X1] :
( empty(powerset(X0))
| element(X1,X0)
| ~ in(X1,sK2(sK1(sK1(powerset(X0))))) ),
inference(resolution,[],[f988,f119]) ).
fof(f988,plain,
! [X0] :
( element(sK2(sK1(sK1(X0))),X0)
| empty(X0) ),
inference(subsumption_resolution,[],[f985,f94]) ).
fof(f985,plain,
! [X0] :
( empty(sK1(X0))
| element(sK2(sK1(sK1(X0))),X0)
| empty(X0) ),
inference(resolution,[],[f977,f842]) ).
fof(f1027,plain,
! [X0] :
( ~ empty(X0)
| empty_set = sK2(powerset(sK4(sK2(sK1(powerset(X0)))))) ),
inference(resolution,[],[f989,f827]) ).
fof(f1026,plain,
! [X0] :
( ~ empty(X0)
| empty_set = sK2(powerset(sK3(sK2(sK1(powerset(X0)))))) ),
inference(resolution,[],[f989,f826]) ).
fof(f1025,plain,
! [X0] :
( ~ empty(X0)
| empty_set = sK2(powerset(relation_dom(sK2(sK1(powerset(X0)))))) ),
inference(resolution,[],[f989,f823]) ).
fof(f1024,plain,
! [X0] :
( ~ empty(X0)
| empty_set = sK4(sK2(powerset(sK2(sK1(powerset(X0)))))) ),
inference(resolution,[],[f989,f797]) ).
fof(f1023,plain,
! [X0] :
( ~ empty(X0)
| empty_set = sK3(sK2(powerset(sK2(sK1(powerset(X0)))))) ),
inference(resolution,[],[f989,f796]) ).
fof(f1022,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_dom(sK2(powerset(sK2(sK1(powerset(X0)))))) ),
inference(resolution,[],[f989,f794]) ).
fof(f1021,plain,
! [X0] :
( ~ empty(X0)
| empty_set = sK2(powerset(sK2(sK1(powerset(X0))))) ),
inference(resolution,[],[f989,f792]) ).
fof(f1020,plain,
! [X0] :
( ~ empty(X0)
| empty_set = sK4(sK4(sK4(sK2(sK1(powerset(X0)))))) ),
inference(resolution,[],[f989,f346]) ).
fof(f1019,plain,
! [X0] :
( ~ empty(X0)
| empty_set = sK4(sK4(sK3(sK2(sK1(powerset(X0)))))) ),
inference(resolution,[],[f989,f345]) ).
fof(f1018,plain,
! [X0] :
( ~ empty(X0)
| empty_set = sK4(sK4(relation_dom(sK2(sK1(powerset(X0)))))) ),
inference(resolution,[],[f989,f343]) ).
fof(f1017,plain,
! [X0] :
( ~ empty(X0)
| empty_set = sK4(sK3(sK4(sK2(sK1(powerset(X0)))))) ),
inference(resolution,[],[f989,f329]) ).
fof(f1016,plain,
! [X0] :
( ~ empty(X0)
| empty_set = sK4(sK3(sK3(sK2(sK1(powerset(X0)))))) ),
inference(resolution,[],[f989,f328]) ).
fof(f1015,plain,
! [X0] :
( ~ empty(X0)
| empty_set = sK4(sK3(relation_dom(sK2(sK1(powerset(X0)))))) ),
inference(resolution,[],[f989,f326]) ).
fof(f1014,plain,
! [X0] :
( ~ empty(X0)
| empty_set = sK4(relation_dom(relation_dom(sK2(sK1(powerset(X0)))))) ),
inference(resolution,[],[f989,f307]) ).
fof(f1013,plain,
! [X0] :
( ~ empty(X0)
| empty_set = sK3(sK4(sK4(sK2(sK1(powerset(X0)))))) ),
inference(resolution,[],[f989,f281]) ).
fof(f1012,plain,
! [X0] :
( ~ empty(X0)
| empty_set = sK3(sK4(sK3(sK2(sK1(powerset(X0)))))) ),
inference(resolution,[],[f989,f280]) ).
fof(f1011,plain,
! [X0] :
( ~ empty(X0)
| empty_set = sK3(sK4(relation_dom(sK2(sK1(powerset(X0)))))) ),
inference(resolution,[],[f989,f278]) ).
fof(f1010,plain,
! [X0] :
( ~ empty(X0)
| empty_set = sK3(sK3(sK4(sK2(sK1(powerset(X0)))))) ),
inference(resolution,[],[f989,f264]) ).
fof(f1009,plain,
! [X0] :
( ~ empty(X0)
| empty_set = sK3(sK3(sK3(sK2(sK1(powerset(X0)))))) ),
inference(resolution,[],[f989,f263]) ).
fof(f1008,plain,
! [X0] :
( ~ empty(X0)
| empty_set = sK3(sK3(relation_dom(sK2(sK1(powerset(X0)))))) ),
inference(resolution,[],[f989,f261]) ).
fof(f1007,plain,
! [X0] :
( ~ empty(X0)
| empty_set = sK3(relation_dom(relation_dom(sK2(sK1(powerset(X0)))))) ),
inference(resolution,[],[f989,f242]) ).
fof(f1006,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_dom(relation_dom(relation_dom(sK2(sK1(powerset(X0)))))) ),
inference(resolution,[],[f989,f223]) ).
fof(f1005,plain,
! [X0,X1] :
( ~ empty(X0)
| ~ empty(X1)
| sK4(sK2(sK1(powerset(X0)))) = X1 ),
inference(resolution,[],[f989,f214]) ).
fof(f1004,plain,
! [X0,X1] :
( ~ empty(X0)
| ~ empty(X1)
| sK3(sK2(sK1(powerset(X0)))) = X1 ),
inference(resolution,[],[f989,f213]) ).
fof(f1003,plain,
! [X0,X1] :
( ~ empty(X0)
| ~ empty(X1)
| relation_dom(sK2(sK1(powerset(X0)))) = X1 ),
inference(resolution,[],[f989,f211]) ).
fof(f1002,plain,
! [X0] :
( ~ empty(X0)
| empty_set = sK4(sK4(sK2(sK1(powerset(X0))))) ),
inference(resolution,[],[f989,f196]) ).
fof(f1001,plain,
! [X0] :
( ~ empty(X0)
| empty_set = sK4(sK3(sK2(sK1(powerset(X0))))) ),
inference(resolution,[],[f989,f195]) ).
fof(f1000,plain,
! [X0] :
( ~ empty(X0)
| empty_set = sK4(relation_dom(sK2(sK1(powerset(X0))))) ),
inference(resolution,[],[f989,f193]) ).
fof(f999,plain,
! [X0] :
( ~ empty(X0)
| empty_set = sK3(sK4(sK2(sK1(powerset(X0))))) ),
inference(resolution,[],[f989,f178]) ).
fof(f998,plain,
! [X0] :
( ~ empty(X0)
| empty_set = sK3(sK3(sK2(sK1(powerset(X0))))) ),
inference(resolution,[],[f989,f177]) ).
fof(f997,plain,
! [X0] :
( ~ empty(X0)
| empty_set = sK3(relation_dom(sK2(sK1(powerset(X0))))) ),
inference(resolution,[],[f989,f175]) ).
fof(f996,plain,
! [X0] :
( ~ empty(X0)
| empty_set = sK4(sK2(sK1(powerset(X0)))) ),
inference(resolution,[],[f989,f172]) ).
fof(f995,plain,
! [X0] :
( ~ empty(X0)
| empty_set = sK3(sK2(sK1(powerset(X0)))) ),
inference(resolution,[],[f989,f167]) ).
fof(f994,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_dom(relation_dom(sK2(sK1(powerset(X0))))) ),
inference(resolution,[],[f989,f147]) ).
fof(f993,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_dom(sK2(sK1(powerset(X0)))) ),
inference(resolution,[],[f989,f140]) ).
fof(f992,plain,
! [X0,X1] :
( ~ empty(X0)
| sK2(sK1(powerset(X0))) = X1
| ~ empty(X1) ),
inference(resolution,[],[f989,f117]) ).
fof(f989,plain,
! [X0] :
( empty(sK2(sK1(powerset(X0))))
| ~ empty(X0) ),
inference(resolution,[],[f979,f297]) ).
fof(f990,plain,
! [X0] :
( ~ empty(X0)
| empty(sK2(sK1(powerset(X0)))) ),
inference(resolution,[],[f979,f977]) ).
fof(f979,plain,
! [X0,X1] :
( ~ in(X1,sK2(sK1(powerset(X0))))
| ~ empty(X0) ),
inference(subsumption_resolution,[],[f976,f92]) ).
fof(f976,plain,
! [X0,X1] :
( empty(powerset(X0))
| ~ empty(X0)
| ~ in(X1,sK2(sK1(powerset(X0)))) ),
inference(resolution,[],[f973,f120]) ).
fof(f983,plain,
! [X0] :
( ~ in(X0,sK2(sK1(X0)))
| empty(X0) ),
inference(resolution,[],[f977,f113]) ).
fof(f986,plain,
! [X0] :
( empty(sK2(powerset(X0)))
| element(sK2(sK1(sK2(powerset(X0)))),X0) ),
inference(resolution,[],[f977,f843]) ).
fof(f982,plain,
! [X0] :
( empty(X0)
| n1 = apply(sK3(X0),sK2(sK1(X0))) ),
inference(resolution,[],[f977,f105]) ).
fof(f981,plain,
! [X0] :
( empty(X0)
| empty_set = apply(sK4(X0),sK2(sK1(X0))) ),
inference(resolution,[],[f977,f533]) ).
fof(f977,plain,
! [X0] :
( in(sK2(sK1(X0)),X0)
| empty(X0) ),
inference(duplicate_literal_removal,[],[f974]) ).
fof(f974,plain,
! [X0] :
( empty(X0)
| empty(X0)
| in(sK2(sK1(X0)),X0) ),
inference(resolution,[],[f973,f115]) ).
fof(f978,plain,
! [X0,X1] :
( element(X1,X0)
| ~ in(X1,sK2(sK1(powerset(X0)))) ),
inference(subsumption_resolution,[],[f975,f92]) ).
fof(f975,plain,
! [X0,X1] :
( empty(powerset(X0))
| element(X1,X0)
| ~ in(X1,sK2(sK1(powerset(X0)))) ),
inference(resolution,[],[f973,f119]) ).
fof(f973,plain,
! [X0] :
( element(sK2(sK1(X0)),X0)
| empty(X0) ),
inference(subsumption_resolution,[],[f972,f94]) ).
fof(f972,plain,
! [X0] :
( element(sK2(sK1(X0)),X0)
| empty(X0)
| empty(sK1(X0)) ),
inference(resolution,[],[f842,f297]) ).
fof(f842,plain,
! [X0,X1] :
( ~ in(X0,sK1(X1))
| element(X0,X1)
| empty(X1) ),
inference(resolution,[],[f119,f93]) ).
fof(f971,plain,
! [X2,X0,X1] :
( ~ in(X0,powerset(X1))
| ~ empty(X1)
| ~ in(X2,X0) ),
inference(resolution,[],[f961,f120]) ).
fof(f970,plain,
! [X2,X0,X1] :
( ~ in(X0,powerset(X1))
| element(X2,X1)
| ~ in(X2,X0) ),
inference(resolution,[],[f961,f119]) ).
fof(f961,plain,
! [X0,X1] :
( element(X0,X1)
| ~ in(X0,X1) ),
inference(resolution,[],[f840,f112]) ).
fof(f83,plain,
! [X2,X1] :
( relation_dom(X2) != sK0
| X1 = X2
| relation_dom(X1) != sK0
| ~ function(X2)
| ~ relation(X2)
| ~ function(X1)
| ~ relation(X1) ),
inference(cnf_transformation,[],[f60]) ).
fof(f60,plain,
( empty_set != sK0
& ! [X1] :
( ! [X2] :
( X1 = X2
| relation_dom(X2) != sK0
| relation_dom(X1) != sK0
| ~ function(X2)
| ~ relation(X2) )
| ~ function(X1)
| ~ relation(X1) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f39,f59]) ).
fof(f59,plain,
( ? [X0] :
( empty_set != X0
& ! [X1] :
( ! [X2] :
( X1 = X2
| relation_dom(X2) != X0
| relation_dom(X1) != X0
| ~ function(X2)
| ~ relation(X2) )
| ~ function(X1)
| ~ relation(X1) ) )
=> ( empty_set != sK0
& ! [X1] :
( ! [X2] :
( X1 = X2
| relation_dom(X2) != sK0
| relation_dom(X1) != sK0
| ~ function(X2)
| ~ relation(X2) )
| ~ function(X1)
| ~ relation(X1) ) ) ),
introduced(choice_axiom,[]) ).
fof(f39,plain,
? [X0] :
( empty_set != X0
& ! [X1] :
( ! [X2] :
( X1 = X2
| relation_dom(X2) != X0
| relation_dom(X1) != X0
| ~ function(X2)
| ~ relation(X2) )
| ~ function(X1)
| ~ relation(X1) ) ),
inference(flattening,[],[f38]) ).
fof(f38,plain,
? [X0] :
( empty_set != X0
& ! [X1] :
( ! [X2] :
( X1 = X2
| relation_dom(X2) != X0
| relation_dom(X1) != X0
| ~ function(X2)
| ~ relation(X2) )
| ~ function(X1)
| ~ relation(X1) ) ),
inference(ennf_transformation,[],[f25]) ).
fof(f25,negated_conjecture,
~ ! [X0] :
( ! [X1] :
( ( function(X1)
& relation(X1) )
=> ! [X2] :
( ( function(X2)
& relation(X2) )
=> ( ( relation_dom(X2) = X0
& relation_dom(X1) = X0 )
=> X1 = X2 ) ) )
=> empty_set = X0 ),
inference(negated_conjecture,[],[f24]) ).
fof(f24,conjecture,
! [X0] :
( ! [X1] :
( ( function(X1)
& relation(X1) )
=> ! [X2] :
( ( function(X2)
& relation(X2) )
=> ( ( relation_dom(X2) = X0
& relation_dom(X1) = X0 )
=> X1 = X2 ) ) )
=> empty_set = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t16_funct_1) ).
fof(f840,plain,
! [X2,X0,X1] :
( ~ subset(X2,X1)
| ~ in(X0,X2)
| element(X0,X1) ),
inference(resolution,[],[f119,f116]) ).
fof(f948,plain,
! [X0] :
( empty_set = sK2(powerset(sK4(sK4(X0))))
| ~ empty(X0) ),
inference(resolution,[],[f827,f163]) ).
fof(f947,plain,
! [X0] :
( empty_set = sK2(powerset(sK4(sK3(X0))))
| ~ empty(X0) ),
inference(resolution,[],[f827,f162]) ).
fof(f946,plain,
! [X0] :
( empty_set = sK2(powerset(sK4(sK2(powerset(X0)))))
| ~ empty(X0) ),
inference(resolution,[],[f827,f791]) ).
fof(f944,plain,
! [X0] :
( empty_set = sK2(powerset(sK4(relation_dom(X0))))
| ~ empty(X0) ),
inference(resolution,[],[f827,f98]) ).
fof(f827,plain,
! [X0] :
( ~ empty(X0)
| empty_set = sK2(powerset(sK4(X0))) ),
inference(resolution,[],[f792,f163]) ).
fof(f930,plain,
! [X0] :
( empty_set = sK2(powerset(sK3(sK4(X0))))
| ~ empty(X0) ),
inference(resolution,[],[f826,f163]) ).
fof(f929,plain,
! [X0] :
( empty_set = sK2(powerset(sK3(sK3(X0))))
| ~ empty(X0) ),
inference(resolution,[],[f826,f162]) ).
fof(f928,plain,
! [X0] :
( empty_set = sK2(powerset(sK3(sK2(powerset(X0)))))
| ~ empty(X0) ),
inference(resolution,[],[f826,f791]) ).
fof(f926,plain,
! [X0] :
( empty_set = sK2(powerset(sK3(relation_dom(X0))))
| ~ empty(X0) ),
inference(resolution,[],[f826,f98]) ).
fof(f826,plain,
! [X0] :
( ~ empty(X0)
| empty_set = sK2(powerset(sK3(X0))) ),
inference(resolution,[],[f792,f162]) ).
fof(f908,plain,
! [X0] :
( empty_set = sK2(powerset(relation_dom(sK2(powerset(X0)))))
| ~ empty(X0) ),
inference(resolution,[],[f823,f791]) ).
fof(f906,plain,
! [X0] :
( empty_set = sK2(powerset(relation_dom(relation_dom(X0))))
| ~ empty(X0) ),
inference(resolution,[],[f823,f98]) ).
fof(f823,plain,
! [X0] :
( ~ empty(X0)
| empty_set = sK2(powerset(relation_dom(X0))) ),
inference(resolution,[],[f792,f98]) ).
fof(f892,plain,
! [X0] :
( empty_set = sK4(sK2(powerset(sK4(X0))))
| ~ empty(X0) ),
inference(resolution,[],[f797,f163]) ).
fof(f891,plain,
! [X0] :
( empty_set = sK4(sK2(powerset(sK3(X0))))
| ~ empty(X0) ),
inference(resolution,[],[f797,f162]) ).
fof(f890,plain,
! [X0] :
( empty_set = sK4(sK2(powerset(sK2(powerset(X0)))))
| ~ empty(X0) ),
inference(resolution,[],[f797,f791]) ).
fof(f888,plain,
! [X0] :
( empty_set = sK4(sK2(powerset(relation_dom(X0))))
| ~ empty(X0) ),
inference(resolution,[],[f797,f98]) ).
fof(f797,plain,
! [X0] :
( ~ empty(X0)
| empty_set = sK4(sK2(powerset(X0))) ),
inference(resolution,[],[f791,f172]) ).
fof(f874,plain,
! [X0] :
( empty_set = sK3(sK2(powerset(sK4(X0))))
| ~ empty(X0) ),
inference(resolution,[],[f796,f163]) ).
fof(f873,plain,
! [X0] :
( empty_set = sK3(sK2(powerset(sK3(X0))))
| ~ empty(X0) ),
inference(resolution,[],[f796,f162]) ).
fof(f872,plain,
! [X0] :
( empty_set = sK3(sK2(powerset(sK2(powerset(X0)))))
| ~ empty(X0) ),
inference(resolution,[],[f796,f791]) ).
fof(f870,plain,
! [X0] :
( empty_set = sK3(sK2(powerset(relation_dom(X0))))
| ~ empty(X0) ),
inference(resolution,[],[f796,f98]) ).
fof(f796,plain,
! [X0] :
( ~ empty(X0)
| empty_set = sK3(sK2(powerset(X0))) ),
inference(resolution,[],[f791,f167]) ).
fof(f856,plain,
! [X0] :
( empty_set = relation_dom(sK2(powerset(sK4(X0))))
| ~ empty(X0) ),
inference(resolution,[],[f794,f163]) ).
fof(f855,plain,
! [X0] :
( empty_set = relation_dom(sK2(powerset(sK3(X0))))
| ~ empty(X0) ),
inference(resolution,[],[f794,f162]) ).
fof(f854,plain,
! [X0] :
( empty_set = relation_dom(sK2(powerset(sK2(powerset(X0)))))
| ~ empty(X0) ),
inference(resolution,[],[f794,f791]) ).
fof(f852,plain,
! [X0] :
( empty_set = relation_dom(sK2(powerset(relation_dom(X0))))
| ~ empty(X0) ),
inference(resolution,[],[f794,f98]) ).
fof(f794,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_dom(sK2(powerset(X0))) ),
inference(resolution,[],[f791,f140]) ).
fof(f849,plain,
! [X0] :
( element(sK2(sK2(powerset(X0))),X0)
| empty(sK2(powerset(X0))) ),
inference(resolution,[],[f843,f297]) ).
fof(f843,plain,
! [X0,X1] :
( ~ in(X0,sK2(powerset(X1)))
| element(X0,X1) ),
inference(resolution,[],[f119,f101]) ).
fof(f844,plain,
! [X0,X1] :
( ~ in(X0,X1)
| ~ empty(X1) ),
inference(resolution,[],[f762,f112]) ).
fof(f762,plain,
! [X2,X0,X1] :
( ~ subset(X2,X0)
| ~ in(X1,X2)
| ~ empty(X0) ),
inference(resolution,[],[f120,f116]) ).
fof(f119,plain,
! [X2,X0,X1] :
( ~ element(X1,powerset(X2))
| element(X0,X2)
| ~ in(X0,X1) ),
inference(cnf_transformation,[],[f57]) ).
fof(f57,plain,
! [X0,X1,X2] :
( element(X0,X2)
| ~ element(X1,powerset(X2))
| ~ in(X0,X1) ),
inference(flattening,[],[f56]) ).
fof(f56,plain,
! [X0,X1,X2] :
( element(X0,X2)
| ~ element(X1,powerset(X2))
| ~ in(X0,X1) ),
inference(ennf_transformation,[],[f29]) ).
fof(f29,axiom,
! [X0,X1,X2] :
( ( element(X1,powerset(X2))
& in(X0,X1) )
=> element(X0,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t4_subset) ).
fof(f822,plain,
empty_set = sK2(powerset(empty_set)),
inference(resolution,[],[f792,f87]) ).
fof(f834,plain,
empty_set = sK2(powerset(empty_set)),
inference(forward_demodulation,[],[f830,f134]) ).
fof(f830,plain,
empty_set = sK2(powerset(sK11)),
inference(resolution,[],[f792,f128]) ).
fof(f833,plain,
empty_set = sK2(powerset(empty_set)),
inference(forward_demodulation,[],[f829,f133]) ).
fof(f829,plain,
empty_set = sK2(powerset(sK7)),
inference(resolution,[],[f792,f122]) ).
fof(f832,plain,
empty_set = sK2(powerset(empty_set)),
inference(forward_demodulation,[],[f828,f132]) ).
fof(f828,plain,
! [X0] : empty_set = sK2(powerset(sK5(X0))),
inference(resolution,[],[f792,f111]) ).
fof(f825,plain,
! [X0] :
( empty_set = sK2(powerset(sK2(powerset(X0))))
| ~ empty(X0) ),
inference(resolution,[],[f792,f791]) ).
fof(f831,plain,
empty_set = sK2(powerset(empty_set)),
inference(forward_demodulation,[],[f824,f131]) ).
fof(f824,plain,
empty_set = sK2(powerset(n0)),
inference(resolution,[],[f792,f86]) ).
fof(f792,plain,
! [X0] :
( ~ empty(X0)
| empty_set = sK2(powerset(X0)) ),
inference(resolution,[],[f791,f97]) ).
fof(f767,plain,
! [X0] : empty_set = apply(sK4(powerset(X0)),empty_set),
inference(resolution,[],[f533,f299]) ).
fof(f821,plain,
! [X0] :
( ~ empty(X0)
| empty_set = sK4(sK4(sK4(sK2(powerset(X0))))) ),
inference(resolution,[],[f791,f346]) ).
fof(f820,plain,
! [X0] :
( ~ empty(X0)
| empty_set = sK4(sK4(sK3(sK2(powerset(X0))))) ),
inference(resolution,[],[f791,f345]) ).
fof(f819,plain,
! [X0] :
( ~ empty(X0)
| empty_set = sK4(sK4(relation_dom(sK2(powerset(X0))))) ),
inference(resolution,[],[f791,f343]) ).
fof(f818,plain,
! [X0] :
( ~ empty(X0)
| empty_set = sK4(sK3(sK4(sK2(powerset(X0))))) ),
inference(resolution,[],[f791,f329]) ).
fof(f817,plain,
! [X0] :
( ~ empty(X0)
| empty_set = sK4(sK3(sK3(sK2(powerset(X0))))) ),
inference(resolution,[],[f791,f328]) ).
fof(f816,plain,
! [X0] :
( ~ empty(X0)
| empty_set = sK4(sK3(relation_dom(sK2(powerset(X0))))) ),
inference(resolution,[],[f791,f326]) ).
fof(f815,plain,
! [X0] :
( ~ empty(X0)
| empty_set = sK4(relation_dom(relation_dom(sK2(powerset(X0))))) ),
inference(resolution,[],[f791,f307]) ).
fof(f814,plain,
! [X0] :
( ~ empty(X0)
| empty_set = sK3(sK4(sK4(sK2(powerset(X0))))) ),
inference(resolution,[],[f791,f281]) ).
fof(f813,plain,
! [X0] :
( ~ empty(X0)
| empty_set = sK3(sK4(sK3(sK2(powerset(X0))))) ),
inference(resolution,[],[f791,f280]) ).
fof(f812,plain,
! [X0] :
( ~ empty(X0)
| empty_set = sK3(sK4(relation_dom(sK2(powerset(X0))))) ),
inference(resolution,[],[f791,f278]) ).
fof(f811,plain,
! [X0] :
( ~ empty(X0)
| empty_set = sK3(sK3(sK4(sK2(powerset(X0))))) ),
inference(resolution,[],[f791,f264]) ).
fof(f810,plain,
! [X0] :
( ~ empty(X0)
| empty_set = sK3(sK3(sK3(sK2(powerset(X0))))) ),
inference(resolution,[],[f791,f263]) ).
fof(f809,plain,
! [X0] :
( ~ empty(X0)
| empty_set = sK3(sK3(relation_dom(sK2(powerset(X0))))) ),
inference(resolution,[],[f791,f261]) ).
fof(f808,plain,
! [X0] :
( ~ empty(X0)
| empty_set = sK3(relation_dom(relation_dom(sK2(powerset(X0))))) ),
inference(resolution,[],[f791,f242]) ).
fof(f807,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_dom(relation_dom(relation_dom(sK2(powerset(X0))))) ),
inference(resolution,[],[f791,f223]) ).
fof(f806,plain,
! [X0,X1] :
( ~ empty(X0)
| ~ empty(X1)
| sK4(sK2(powerset(X0))) = X1 ),
inference(resolution,[],[f791,f214]) ).
fof(f805,plain,
! [X0,X1] :
( ~ empty(X0)
| ~ empty(X1)
| sK3(sK2(powerset(X0))) = X1 ),
inference(resolution,[],[f791,f213]) ).
fof(f804,plain,
! [X0,X1] :
( ~ empty(X0)
| ~ empty(X1)
| relation_dom(sK2(powerset(X0))) = X1 ),
inference(resolution,[],[f791,f211]) ).
fof(f803,plain,
! [X0] :
( ~ empty(X0)
| empty_set = sK4(sK4(sK2(powerset(X0)))) ),
inference(resolution,[],[f791,f196]) ).
fof(f802,plain,
! [X0] :
( ~ empty(X0)
| empty_set = sK4(sK3(sK2(powerset(X0)))) ),
inference(resolution,[],[f791,f195]) ).
fof(f801,plain,
! [X0] :
( ~ empty(X0)
| empty_set = sK4(relation_dom(sK2(powerset(X0)))) ),
inference(resolution,[],[f791,f193]) ).
fof(f800,plain,
! [X0] :
( ~ empty(X0)
| empty_set = sK3(sK4(sK2(powerset(X0)))) ),
inference(resolution,[],[f791,f178]) ).
fof(f799,plain,
! [X0] :
( ~ empty(X0)
| empty_set = sK3(sK3(sK2(powerset(X0)))) ),
inference(resolution,[],[f791,f177]) ).
fof(f798,plain,
! [X0] :
( ~ empty(X0)
| empty_set = sK3(relation_dom(sK2(powerset(X0)))) ),
inference(resolution,[],[f791,f175]) ).
fof(f795,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_dom(relation_dom(sK2(powerset(X0)))) ),
inference(resolution,[],[f791,f147]) ).
fof(f793,plain,
! [X0,X1] :
( ~ empty(X0)
| sK2(powerset(X0)) = X1
| ~ empty(X1) ),
inference(resolution,[],[f791,f117]) ).
fof(f791,plain,
! [X0] :
( empty(sK2(powerset(X0)))
| ~ empty(X0) ),
inference(resolution,[],[f765,f297]) ).
fof(f765,plain,
! [X0,X1] :
( ~ in(X1,sK2(powerset(X0)))
| ~ empty(X0) ),
inference(resolution,[],[f120,f101]) ).
fof(f763,plain,
! [X0,X1] :
( ~ empty(X0)
| ~ in(X1,empty_set) ),
inference(resolution,[],[f120,f145]) ).
fof(f768,plain,
! [X0] :
( empty_set = apply(sK4(powerset(X0)),sK1(X0))
| empty(X0) ),
inference(resolution,[],[f533,f300]) ).
fof(f766,plain,
! [X0,X1] :
( empty_set = apply(sK4(powerset(X0)),X1)
| ~ subset(X1,X0) ),
inference(resolution,[],[f533,f298]) ).
fof(f533,plain,
! [X2,X0] :
( ~ in(X2,X0)
| empty_set = apply(sK4(X0),X2) ),
inference(forward_demodulation,[],[f109,f131]) ).
fof(f120,plain,
! [X2,X0,X1] :
( ~ element(X1,powerset(X2))
| ~ empty(X2)
| ~ in(X0,X1) ),
inference(cnf_transformation,[],[f58]) ).
fof(f58,plain,
! [X0,X1,X2] :
( ~ empty(X2)
| ~ element(X1,powerset(X2))
| ~ in(X0,X1) ),
inference(ennf_transformation,[],[f30]) ).
fof(f30,axiom,
! [X0,X1,X2] :
~ ( empty(X2)
& element(X1,powerset(X2))
& in(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t5_subset) ).
fof(f744,plain,
! [X0] :
( empty_set = sK4(sK4(sK4(sK4(X0))))
| ~ empty(X0) ),
inference(resolution,[],[f346,f163]) ).
fof(f743,plain,
! [X0] :
( empty_set = sK4(sK4(sK4(sK3(X0))))
| ~ empty(X0) ),
inference(resolution,[],[f346,f162]) ).
fof(f741,plain,
! [X0] :
( empty_set = sK4(sK4(sK4(relation_dom(X0))))
| ~ empty(X0) ),
inference(resolution,[],[f346,f98]) ).
fof(f346,plain,
! [X0] :
( ~ empty(X0)
| empty_set = sK4(sK4(sK4(X0))) ),
inference(resolution,[],[f196,f163]) ).
fof(f722,plain,
! [X0] :
( empty_set = sK4(sK4(sK3(sK4(X0))))
| ~ empty(X0) ),
inference(resolution,[],[f345,f163]) ).
fof(f721,plain,
! [X0] :
( empty_set = sK4(sK4(sK3(sK3(X0))))
| ~ empty(X0) ),
inference(resolution,[],[f345,f162]) ).
fof(f719,plain,
! [X0] :
( empty_set = sK4(sK4(sK3(relation_dom(X0))))
| ~ empty(X0) ),
inference(resolution,[],[f345,f98]) ).
fof(f345,plain,
! [X0] :
( ~ empty(X0)
| empty_set = sK4(sK4(sK3(X0))) ),
inference(resolution,[],[f196,f162]) ).
fof(f695,plain,
! [X0] :
( empty_set = sK4(sK4(relation_dom(relation_dom(X0))))
| ~ empty(X0) ),
inference(resolution,[],[f343,f98]) ).
fof(f343,plain,
! [X0] :
( ~ empty(X0)
| empty_set = sK4(sK4(relation_dom(X0))) ),
inference(resolution,[],[f196,f98]) ).
fof(f676,plain,
! [X0] :
( empty_set = sK4(sK3(sK4(sK4(X0))))
| ~ empty(X0) ),
inference(resolution,[],[f329,f163]) ).
fof(f675,plain,
! [X0] :
( empty_set = sK4(sK3(sK4(sK3(X0))))
| ~ empty(X0) ),
inference(resolution,[],[f329,f162]) ).
fof(f673,plain,
! [X0] :
( empty_set = sK4(sK3(sK4(relation_dom(X0))))
| ~ empty(X0) ),
inference(resolution,[],[f329,f98]) ).
fof(f329,plain,
! [X0] :
( ~ empty(X0)
| empty_set = sK4(sK3(sK4(X0))) ),
inference(resolution,[],[f195,f163]) ).
fof(f654,plain,
! [X0] :
( empty_set = sK4(sK3(sK3(sK4(X0))))
| ~ empty(X0) ),
inference(resolution,[],[f328,f163]) ).
fof(f653,plain,
! [X0] :
( empty_set = sK4(sK3(sK3(sK3(X0))))
| ~ empty(X0) ),
inference(resolution,[],[f328,f162]) ).
fof(f651,plain,
! [X0] :
( empty_set = sK4(sK3(sK3(relation_dom(X0))))
| ~ empty(X0) ),
inference(resolution,[],[f328,f98]) ).
fof(f328,plain,
! [X0] :
( ~ empty(X0)
| empty_set = sK4(sK3(sK3(X0))) ),
inference(resolution,[],[f195,f162]) ).
fof(f627,plain,
! [X0] :
( empty_set = sK4(sK3(relation_dom(relation_dom(X0))))
| ~ empty(X0) ),
inference(resolution,[],[f326,f98]) ).
fof(f326,plain,
! [X0] :
( ~ empty(X0)
| empty_set = sK4(sK3(relation_dom(X0))) ),
inference(resolution,[],[f195,f98]) ).
fof(f603,plain,
! [X0] :
( empty_set = sK4(relation_dom(relation_dom(relation_dom(X0))))
| ~ empty(X0) ),
inference(resolution,[],[f307,f98]) ).
fof(f307,plain,
! [X0] :
( ~ empty(X0)
| empty_set = sK4(relation_dom(relation_dom(X0))) ),
inference(resolution,[],[f193,f98]) ).
fof(f584,plain,
! [X0] :
( empty_set = sK3(sK4(sK4(sK4(X0))))
| ~ empty(X0) ),
inference(resolution,[],[f281,f163]) ).
fof(f583,plain,
! [X0] :
( empty_set = sK3(sK4(sK4(sK3(X0))))
| ~ empty(X0) ),
inference(resolution,[],[f281,f162]) ).
fof(f581,plain,
! [X0] :
( empty_set = sK3(sK4(sK4(relation_dom(X0))))
| ~ empty(X0) ),
inference(resolution,[],[f281,f98]) ).
fof(f281,plain,
! [X0] :
( ~ empty(X0)
| empty_set = sK3(sK4(sK4(X0))) ),
inference(resolution,[],[f178,f163]) ).
fof(f562,plain,
! [X0] :
( empty_set = sK3(sK4(sK3(sK4(X0))))
| ~ empty(X0) ),
inference(resolution,[],[f280,f163]) ).
fof(f561,plain,
! [X0] :
( empty_set = sK3(sK4(sK3(sK3(X0))))
| ~ empty(X0) ),
inference(resolution,[],[f280,f162]) ).
fof(f559,plain,
! [X0] :
( empty_set = sK3(sK4(sK3(relation_dom(X0))))
| ~ empty(X0) ),
inference(resolution,[],[f280,f98]) ).
fof(f280,plain,
! [X0] :
( ~ empty(X0)
| empty_set = sK3(sK4(sK3(X0))) ),
inference(resolution,[],[f178,f162]) ).
fof(f535,plain,
! [X0] :
( empty_set = sK3(sK4(relation_dom(relation_dom(X0))))
| ~ empty(X0) ),
inference(resolution,[],[f278,f98]) ).
fof(f278,plain,
! [X0] :
( ~ empty(X0)
| empty_set = sK3(sK4(relation_dom(X0))) ),
inference(resolution,[],[f178,f98]) ).
fof(f515,plain,
! [X0] :
( empty_set = sK3(sK3(sK4(sK4(X0))))
| ~ empty(X0) ),
inference(resolution,[],[f264,f163]) ).
fof(f514,plain,
! [X0] :
( empty_set = sK3(sK3(sK4(sK3(X0))))
| ~ empty(X0) ),
inference(resolution,[],[f264,f162]) ).
fof(f512,plain,
! [X0] :
( empty_set = sK3(sK3(sK4(relation_dom(X0))))
| ~ empty(X0) ),
inference(resolution,[],[f264,f98]) ).
fof(f264,plain,
! [X0] :
( ~ empty(X0)
| empty_set = sK3(sK3(sK4(X0))) ),
inference(resolution,[],[f177,f163]) ).
fof(f493,plain,
! [X0] :
( empty_set = sK3(sK3(sK3(sK4(X0))))
| ~ empty(X0) ),
inference(resolution,[],[f263,f163]) ).
fof(f492,plain,
! [X0] :
( empty_set = sK3(sK3(sK3(sK3(X0))))
| ~ empty(X0) ),
inference(resolution,[],[f263,f162]) ).
fof(f490,plain,
! [X0] :
( empty_set = sK3(sK3(sK3(relation_dom(X0))))
| ~ empty(X0) ),
inference(resolution,[],[f263,f98]) ).
fof(f263,plain,
! [X0] :
( ~ empty(X0)
| empty_set = sK3(sK3(sK3(X0))) ),
inference(resolution,[],[f177,f162]) ).
fof(f466,plain,
! [X0] :
( empty_set = sK3(sK3(relation_dom(relation_dom(X0))))
| ~ empty(X0) ),
inference(resolution,[],[f261,f98]) ).
fof(f261,plain,
! [X0] :
( ~ empty(X0)
| empty_set = sK3(sK3(relation_dom(X0))) ),
inference(resolution,[],[f177,f98]) ).
fof(f442,plain,
! [X0] :
( empty_set = sK3(relation_dom(relation_dom(relation_dom(X0))))
| ~ empty(X0) ),
inference(resolution,[],[f242,f98]) ).
fof(f242,plain,
! [X0] :
( ~ empty(X0)
| empty_set = sK3(relation_dom(relation_dom(X0))) ),
inference(resolution,[],[f175,f98]) ).
fof(f440,plain,
! [X0] : ~ subset(powerset(powerset(X0)),X0),
inference(resolution,[],[f305,f112]) ).
fof(f305,plain,
! [X0,X1] :
( ~ subset(powerset(X1),X0)
| ~ subset(powerset(X0),X1) ),
inference(resolution,[],[f303,f298]) ).
fof(f417,plain,
! [X0] :
( empty_set = relation_dom(relation_dom(relation_dom(relation_dom(X0))))
| ~ empty(X0) ),
inference(resolution,[],[f223,f98]) ).
fof(f223,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_dom(relation_dom(relation_dom(X0))) ),
inference(resolution,[],[f147,f98]) ).
fof(f403,plain,
! [X0,X1] :
( ~ empty(X0)
| sK4(sK4(X1)) = X0
| ~ empty(X1) ),
inference(resolution,[],[f214,f163]) ).
fof(f402,plain,
! [X0,X1] :
( ~ empty(X0)
| sK4(sK3(X1)) = X0
| ~ empty(X1) ),
inference(resolution,[],[f214,f162]) ).
fof(f400,plain,
! [X0,X1] :
( ~ empty(X0)
| sK4(relation_dom(X1)) = X0
| ~ empty(X1) ),
inference(resolution,[],[f214,f98]) ).
fof(f214,plain,
! [X0,X1] :
( ~ empty(X1)
| ~ empty(X0)
| sK4(X1) = X0 ),
inference(resolution,[],[f117,f163]) ).
fof(f386,plain,
! [X0,X1] :
( ~ empty(X0)
| sK3(sK4(X1)) = X0
| ~ empty(X1) ),
inference(resolution,[],[f213,f163]) ).
fof(f385,plain,
! [X0,X1] :
( ~ empty(X0)
| sK3(sK3(X1)) = X0
| ~ empty(X1) ),
inference(resolution,[],[f213,f162]) ).
fof(f383,plain,
! [X0,X1] :
( ~ empty(X0)
| sK3(relation_dom(X1)) = X0
| ~ empty(X1) ),
inference(resolution,[],[f213,f98]) ).
fof(f213,plain,
! [X0,X1] :
( ~ empty(X1)
| ~ empty(X0)
| sK3(X1) = X0 ),
inference(resolution,[],[f117,f162]) ).
fof(f211,plain,
! [X0,X1] :
( ~ empty(X1)
| ~ empty(X0)
| relation_dom(X1) = X0 ),
inference(resolution,[],[f117,f98]) ).
fof(f360,plain,
! [X0] : n1 = apply(sK3(powerset(X0)),empty_set),
inference(resolution,[],[f105,f299]) ).
fof(f361,plain,
! [X0] :
( n1 = apply(sK3(powerset(X0)),sK1(X0))
| empty(X0) ),
inference(resolution,[],[f105,f300]) ).
fof(f359,plain,
! [X0,X1] :
( n1 = apply(sK3(powerset(X0)),X1)
| ~ subset(X1,X0) ),
inference(resolution,[],[f105,f298]) ).
fof(f105,plain,
! [X2,X0] :
( ~ in(X2,X0)
| n1 = apply(sK3(X0),X2) ),
inference(cnf_transformation,[],[f66]) ).
fof(f66,plain,
! [X0] :
( ! [X2] :
( n1 = apply(sK3(X0),X2)
| ~ in(X2,X0) )
& relation_dom(sK3(X0)) = X0
& function(sK3(X0))
& relation(sK3(X0)) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK3])],[f47,f65]) ).
fof(f65,plain,
! [X0] :
( ? [X1] :
( ! [X2] :
( apply(X1,X2) = n1
| ~ in(X2,X0) )
& relation_dom(X1) = X0
& function(X1)
& relation(X1) )
=> ( ! [X2] :
( n1 = apply(sK3(X0),X2)
| ~ in(X2,X0) )
& relation_dom(sK3(X0)) = X0
& function(sK3(X0))
& relation(sK3(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f47,plain,
! [X0] :
? [X1] :
( ! [X2] :
( apply(X1,X2) = n1
| ~ in(X2,X0) )
& relation_dom(X1) = X0
& function(X1)
& relation(X1) ),
inference(ennf_transformation,[],[f21]) ).
fof(f21,axiom,
! [X0] :
? [X1] :
( ! [X2] :
( in(X2,X0)
=> apply(X1,X2) = n1 )
& relation_dom(X1) = X0
& function(X1)
& relation(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',s3_funct_1__e7_14__funct_1) ).
fof(f196,plain,
! [X0] :
( ~ empty(X0)
| empty_set = sK4(sK4(X0)) ),
inference(resolution,[],[f172,f163]) ).
fof(f195,plain,
! [X0] :
( ~ empty(X0)
| empty_set = sK4(sK3(X0)) ),
inference(resolution,[],[f172,f162]) ).
fof(f193,plain,
! [X0] :
( ~ empty(X0)
| empty_set = sK4(relation_dom(X0)) ),
inference(resolution,[],[f172,f98]) ).
fof(f304,plain,
! [X0] :
( ~ in(powerset(X0),sK1(X0))
| empty(X0) ),
inference(resolution,[],[f300,f113]) ).
fof(f303,plain,
! [X0,X1] :
( ~ in(powerset(X1),X0)
| ~ subset(X0,X1) ),
inference(resolution,[],[f298,f113]) ).
fof(f300,plain,
! [X0] :
( in(sK1(X0),powerset(X0))
| empty(X0) ),
inference(subsumption_resolution,[],[f296,f92]) ).
fof(f296,plain,
! [X0] :
( empty(powerset(X0))
| in(sK1(X0),powerset(X0))
| empty(X0) ),
inference(resolution,[],[f115,f93]) ).
fof(f298,plain,
! [X0,X1] :
( in(X1,powerset(X0))
| ~ subset(X1,X0) ),
inference(subsumption_resolution,[],[f294,f92]) ).
fof(f294,plain,
! [X0,X1] :
( empty(powerset(X0))
| in(X1,powerset(X0))
| ~ subset(X1,X0) ),
inference(resolution,[],[f115,f116]) ).
fof(f302,plain,
! [X0] :
( ~ in(X0,sK2(X0))
| empty(X0) ),
inference(resolution,[],[f297,f113]) ).
fof(f297,plain,
! [X0] :
( in(sK2(X0),X0)
| empty(X0) ),
inference(resolution,[],[f115,f101]) ).
fof(f301,plain,
! [X0] : ~ in(powerset(X0),empty_set),
inference(resolution,[],[f299,f113]) ).
fof(f299,plain,
! [X0] : in(empty_set,powerset(X0)),
inference(subsumption_resolution,[],[f295,f92]) ).
fof(f295,plain,
! [X0] :
( empty(powerset(X0))
| in(empty_set,powerset(X0)) ),
inference(resolution,[],[f115,f145]) ).
fof(f115,plain,
! [X0,X1] :
( ~ element(X0,X1)
| empty(X1)
| in(X0,X1) ),
inference(cnf_transformation,[],[f52]) ).
fof(f52,plain,
! [X0,X1] :
( in(X0,X1)
| empty(X1)
| ~ element(X0,X1) ),
inference(flattening,[],[f51]) ).
fof(f51,plain,
! [X0,X1] :
( in(X0,X1)
| empty(X1)
| ~ element(X0,X1) ),
inference(ennf_transformation,[],[f27]) ).
fof(f27,axiom,
! [X0,X1] :
( element(X0,X1)
=> ( in(X0,X1)
| empty(X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t2_subset) ).
fof(f178,plain,
! [X0] :
( ~ empty(X0)
| empty_set = sK3(sK4(X0)) ),
inference(resolution,[],[f167,f163]) ).
fof(f177,plain,
! [X0] :
( ~ empty(X0)
| empty_set = sK3(sK3(X0)) ),
inference(resolution,[],[f167,f162]) ).
fof(f175,plain,
! [X0] :
( ~ empty(X0)
| empty_set = sK3(relation_dom(X0)) ),
inference(resolution,[],[f167,f98]) ).
fof(f147,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_dom(relation_dom(X0)) ),
inference(resolution,[],[f140,f98]) ).
fof(f117,plain,
! [X0,X1] :
( ~ empty(X1)
| X0 = X1
| ~ empty(X0) ),
inference(cnf_transformation,[],[f54]) ).
fof(f54,plain,
! [X0,X1] :
( ~ empty(X1)
| X0 = X1
| ~ empty(X0) ),
inference(ennf_transformation,[],[f33]) ).
fof(f33,axiom,
! [X0,X1] :
~ ( empty(X1)
& X0 != X1
& empty(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t8_boole) ).
fof(f192,plain,
empty_set = sK4(empty_set),
inference(resolution,[],[f172,f87]) ).
fof(f203,plain,
empty_set = sK4(empty_set),
inference(forward_demodulation,[],[f199,f134]) ).
fof(f199,plain,
empty_set = sK4(sK11),
inference(resolution,[],[f172,f128]) ).
fof(f202,plain,
empty_set = sK4(empty_set),
inference(forward_demodulation,[],[f198,f133]) ).
fof(f198,plain,
empty_set = sK4(sK7),
inference(resolution,[],[f172,f122]) ).
fof(f201,plain,
empty_set = sK4(empty_set),
inference(forward_demodulation,[],[f197,f132]) ).
fof(f197,plain,
! [X0] : empty_set = sK4(sK5(X0)),
inference(resolution,[],[f172,f111]) ).
fof(f200,plain,
empty_set = sK4(empty_set),
inference(forward_demodulation,[],[f194,f131]) ).
fof(f194,plain,
empty_set = sK4(n0),
inference(resolution,[],[f172,f86]) ).
fof(f172,plain,
! [X0] :
( ~ empty(X0)
| empty_set = sK4(X0) ),
inference(resolution,[],[f163,f97]) ).
fof(f116,plain,
! [X0,X1] :
( element(X0,powerset(X1))
| ~ subset(X0,X1) ),
inference(cnf_transformation,[],[f53]) ).
fof(f53,plain,
! [X0,X1] :
( element(X0,powerset(X1))
| ~ subset(X0,X1) ),
inference(ennf_transformation,[],[f35]) ).
fof(f35,plain,
! [X0,X1] :
( subset(X0,X1)
=> element(X0,powerset(X1)) ),
inference(unused_predicate_definition_removal,[],[f28]) ).
fof(f28,axiom,
! [X0,X1] :
( element(X0,powerset(X1))
<=> subset(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t3_subset) ).
fof(f190,plain,
function(empty_set),
inference(superposition,[],[f103,f174]) ).
fof(f174,plain,
empty_set = sK3(empty_set),
inference(resolution,[],[f167,f87]) ).
fof(f185,plain,
empty_set = sK3(empty_set),
inference(forward_demodulation,[],[f181,f134]) ).
fof(f181,plain,
empty_set = sK3(sK11),
inference(resolution,[],[f167,f128]) ).
fof(f184,plain,
empty_set = sK3(empty_set),
inference(forward_demodulation,[],[f180,f133]) ).
fof(f180,plain,
empty_set = sK3(sK7),
inference(resolution,[],[f167,f122]) ).
fof(f183,plain,
empty_set = sK3(empty_set),
inference(forward_demodulation,[],[f179,f132]) ).
fof(f179,plain,
! [X0] : empty_set = sK3(sK5(X0)),
inference(resolution,[],[f167,f111]) ).
fof(f182,plain,
empty_set = sK3(empty_set),
inference(forward_demodulation,[],[f176,f131]) ).
fof(f176,plain,
empty_set = sK3(n0),
inference(resolution,[],[f167,f86]) ).
fof(f167,plain,
! [X0] :
( ~ empty(X0)
| empty_set = sK3(X0) ),
inference(resolution,[],[f162,f97]) ).
fof(f163,plain,
! [X0] :
( empty(sK4(X0))
| ~ empty(X0) ),
inference(subsumption_resolution,[],[f160,f106]) ).
fof(f160,plain,
! [X0] :
( ~ empty(X0)
| ~ relation(sK4(X0))
| empty(sK4(X0)) ),
inference(superposition,[],[f100,f108]) ).
fof(f162,plain,
! [X0] :
( empty(sK3(X0))
| ~ empty(X0) ),
inference(subsumption_resolution,[],[f159,f102]) ).
fof(f159,plain,
! [X0] :
( ~ empty(X0)
| ~ relation(sK3(X0))
| empty(sK3(X0)) ),
inference(superposition,[],[f100,f104]) ).
fof(f100,plain,
! [X0] :
( ~ empty(relation_dom(X0))
| ~ relation(X0)
| empty(X0) ),
inference(cnf_transformation,[],[f46]) ).
fof(f46,plain,
! [X0] :
( ~ empty(relation_dom(X0))
| ~ relation(X0)
| empty(X0) ),
inference(flattening,[],[f45]) ).
fof(f45,plain,
! [X0] :
( ~ empty(relation_dom(X0))
| ~ relation(X0)
| empty(X0) ),
inference(ennf_transformation,[],[f9]) ).
fof(f9,axiom,
! [X0] :
( ( relation(X0)
& ~ empty(X0) )
=> ~ empty(relation_dom(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc5_relat_1) ).
fof(f93,plain,
! [X0] :
( element(sK1(X0),powerset(X0))
| empty(X0) ),
inference(cnf_transformation,[],[f62]) ).
fof(f62,plain,
! [X0] :
( ( ~ empty(sK1(X0))
& element(sK1(X0),powerset(X0)) )
| empty(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK1])],[f40,f61]) ).
fof(f61,plain,
! [X0] :
( ? [X1] :
( ~ empty(X1)
& element(X1,powerset(X0)) )
=> ( ~ empty(sK1(X0))
& element(sK1(X0),powerset(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f40,plain,
! [X0] :
( ? [X1] :
( ~ empty(X1)
& element(X1,powerset(X0)) )
| empty(X0) ),
inference(ennf_transformation,[],[f13]) ).
fof(f13,axiom,
! [X0] :
( ~ empty(X0)
=> ? [X1] :
( ~ empty(X1)
& element(X1,powerset(X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc1_subset_1) ).
fof(f146,plain,
empty_set = relation_dom(empty_set),
inference(resolution,[],[f140,f87]) ).
fof(f155,plain,
empty_set = relation_dom(empty_set),
inference(forward_demodulation,[],[f151,f134]) ).
fof(f151,plain,
empty_set = relation_dom(sK11),
inference(resolution,[],[f140,f128]) ).
fof(f154,plain,
empty_set = relation_dom(empty_set),
inference(forward_demodulation,[],[f150,f133]) ).
fof(f150,plain,
empty_set = relation_dom(sK7),
inference(resolution,[],[f140,f122]) ).
fof(f153,plain,
empty_set = relation_dom(empty_set),
inference(forward_demodulation,[],[f149,f132]) ).
fof(f149,plain,
! [X0] : empty_set = relation_dom(sK5(X0)),
inference(resolution,[],[f140,f111]) ).
fof(f152,plain,
empty_set = relation_dom(empty_set),
inference(forward_demodulation,[],[f148,f131]) ).
fof(f148,plain,
empty_set = relation_dom(n0),
inference(resolution,[],[f140,f86]) ).
fof(f140,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_dom(X0) ),
inference(resolution,[],[f98,f97]) ).
fof(f113,plain,
! [X0,X1] :
( ~ in(X1,X0)
| ~ in(X0,X1) ),
inference(cnf_transformation,[],[f49]) ).
fof(f49,plain,
! [X0,X1] :
( ~ in(X1,X0)
| ~ in(X0,X1) ),
inference(ennf_transformation,[],[f1]) ).
fof(f1,axiom,
! [X0,X1] :
( in(X0,X1)
=> ~ in(X1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',antisymmetry_r2_hidden) ).
fof(f144,plain,
! [X0] :
( ~ empty(sK4(X0))
| empty(X0) ),
inference(superposition,[],[f98,f108]) ).
fof(f143,plain,
! [X0] :
( ~ empty(sK4(X0))
| relation(X0) ),
inference(superposition,[],[f99,f108]) ).
fof(f142,plain,
! [X0] :
( ~ empty(sK3(X0))
| empty(X0) ),
inference(superposition,[],[f98,f104]) ).
fof(f141,plain,
! [X0] :
( ~ empty(sK3(X0))
| relation(X0) ),
inference(superposition,[],[f99,f104]) ).
fof(f145,plain,
! [X0] : element(empty_set,powerset(X0)),
inference(forward_demodulation,[],[f110,f132]) ).
fof(f108,plain,
! [X0] : relation_dom(sK4(X0)) = X0,
inference(cnf_transformation,[],[f68]) ).
fof(f68,plain,
! [X0] :
( ! [X2] :
( n0 = apply(sK4(X0),X2)
| ~ in(X2,X0) )
& relation_dom(sK4(X0)) = X0
& function(sK4(X0))
& relation(sK4(X0)) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK4])],[f48,f67]) ).
fof(f67,plain,
! [X0] :
( ? [X1] :
( ! [X2] :
( apply(X1,X2) = n0
| ~ in(X2,X0) )
& relation_dom(X1) = X0
& function(X1)
& relation(X1) )
=> ( ! [X2] :
( n0 = apply(sK4(X0),X2)
| ~ in(X2,X0) )
& relation_dom(sK4(X0)) = X0
& function(sK4(X0))
& relation(sK4(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f48,plain,
! [X0] :
? [X1] :
( ! [X2] :
( apply(X1,X2) = n0
| ~ in(X2,X0) )
& relation_dom(X1) = X0
& function(X1)
& relation(X1) ),
inference(ennf_transformation,[],[f20]) ).
fof(f20,axiom,
! [X0] :
? [X1] :
( ! [X2] :
( in(X2,X0)
=> apply(X1,X2) = n0 )
& relation_dom(X1) = X0
& function(X1)
& relation(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',s3_funct_1__e4_14__funct_1) ).
fof(f104,plain,
! [X0] : relation_dom(sK3(X0)) = X0,
inference(cnf_transformation,[],[f66]) ).
fof(f99,plain,
! [X0] :
( relation(relation_dom(X0))
| ~ empty(X0) ),
inference(cnf_transformation,[],[f44]) ).
fof(f44,plain,
! [X0] :
( ( relation(relation_dom(X0))
& empty(relation_dom(X0)) )
| ~ empty(X0) ),
inference(ennf_transformation,[],[f10]) ).
fof(f10,axiom,
! [X0] :
( empty(X0)
=> ( relation(relation_dom(X0))
& empty(relation_dom(X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc7_relat_1) ).
fof(f98,plain,
! [X0] :
( empty(relation_dom(X0))
| ~ empty(X0) ),
inference(cnf_transformation,[],[f44]) ).
fof(f132,plain,
! [X0] : empty_set = sK5(X0),
inference(resolution,[],[f97,f111]) ).
fof(f134,plain,
empty_set = sK11,
inference(resolution,[],[f97,f128]) ).
fof(f133,plain,
empty_set = sK7,
inference(resolution,[],[f97,f122]) ).
fof(f131,plain,
empty_set = n0,
inference(resolution,[],[f97,f86]) ).
fof(f97,plain,
! [X0] :
( ~ empty(X0)
| empty_set = X0 ),
inference(cnf_transformation,[],[f43]) ).
fof(f43,plain,
! [X0] :
( empty_set = X0
| ~ empty(X0) ),
inference(ennf_transformation,[],[f31]) ).
fof(f31,axiom,
! [X0] :
( empty(X0)
=> empty_set = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t6_boole) ).
fof(f94,plain,
! [X0] :
( ~ empty(sK1(X0))
| empty(X0) ),
inference(cnf_transformation,[],[f62]) ).
fof(f101,plain,
! [X0] : element(sK2(X0),X0),
inference(cnf_transformation,[],[f64]) ).
fof(f64,plain,
! [X0] : element(sK2(X0),X0),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK2])],[f4,f63]) ).
fof(f63,plain,
! [X0] :
( ? [X1] : element(X1,X0)
=> element(sK2(X0),X0) ),
introduced(choice_axiom,[]) ).
fof(f4,axiom,
! [X0] :
? [X1] : element(X1,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',existence_m1_subset_1) ).
fof(f96,plain,
! [X0] :
( relation(X0)
| ~ empty(X0) ),
inference(cnf_transformation,[],[f42]) ).
fof(f42,plain,
! [X0] :
( relation(X0)
| ~ empty(X0) ),
inference(ennf_transformation,[],[f3]) ).
fof(f3,axiom,
! [X0] :
( empty(X0)
=> relation(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc1_relat_1) ).
fof(f95,plain,
! [X0] :
( function(X0)
| ~ empty(X0) ),
inference(cnf_transformation,[],[f41]) ).
fof(f41,plain,
! [X0] :
( function(X0)
| ~ empty(X0) ),
inference(ennf_transformation,[],[f2]) ).
fof(f2,axiom,
! [X0] :
( empty(X0)
=> function(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc1_funct_1) ).
fof(f112,plain,
! [X0] : subset(X0,X0),
inference(cnf_transformation,[],[f34]) ).
fof(f34,plain,
! [X0] : subset(X0,X0),
inference(rectify,[],[f19]) ).
fof(f19,axiom,
! [X0,X1] : subset(X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',reflexivity_r1_tarski) ).
fof(f111,plain,
! [X0] : empty(sK5(X0)),
inference(cnf_transformation,[],[f70]) ).
fof(f70,plain,
! [X0] :
( empty(sK5(X0))
& element(sK5(X0),powerset(X0)) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK5])],[f16,f69]) ).
fof(f69,plain,
! [X0] :
( ? [X1] :
( empty(X1)
& element(X1,powerset(X0)) )
=> ( empty(sK5(X0))
& element(sK5(X0),powerset(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f16,axiom,
! [X0] :
? [X1] :
( empty(X1)
& element(X1,powerset(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc2_subset_1) ).
fof(f107,plain,
! [X0] : function(sK4(X0)),
inference(cnf_transformation,[],[f68]) ).
fof(f106,plain,
! [X0] : relation(sK4(X0)),
inference(cnf_transformation,[],[f68]) ).
fof(f103,plain,
! [X0] : function(sK3(X0)),
inference(cnf_transformation,[],[f66]) ).
fof(f102,plain,
! [X0] : relation(sK3(X0)),
inference(cnf_transformation,[],[f66]) ).
fof(f92,plain,
! [X0] : ~ empty(powerset(X0)),
inference(cnf_transformation,[],[f6]) ).
fof(f6,axiom,
! [X0] : ~ empty(powerset(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc1_subset_1) ).
fof(f84,plain,
empty_set != sK0,
inference(cnf_transformation,[],[f60]) ).
fof(f129,plain,
relation(sK11),
inference(cnf_transformation,[],[f82]) ).
fof(f82,plain,
( relation(sK11)
& empty(sK11) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK11])],[f12,f81]) ).
fof(f81,plain,
( ? [X0] :
( relation(X0)
& empty(X0) )
=> ( relation(sK11)
& empty(sK11) ) ),
introduced(choice_axiom,[]) ).
fof(f12,axiom,
? [X0] :
( relation(X0)
& empty(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc1_relat_1) ).
fof(f128,plain,
empty(sK11),
inference(cnf_transformation,[],[f82]) ).
fof(f127,plain,
function(sK10),
inference(cnf_transformation,[],[f80]) ).
fof(f80,plain,
( function(sK10)
& relation(sK10) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK10])],[f11,f79]) ).
fof(f79,plain,
( ? [X0] :
( function(X0)
& relation(X0) )
=> ( function(sK10)
& relation(sK10) ) ),
introduced(choice_axiom,[]) ).
fof(f11,axiom,
? [X0] :
( function(X0)
& relation(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc1_funct_1) ).
fof(f126,plain,
relation(sK10),
inference(cnf_transformation,[],[f80]) ).
fof(f125,plain,
relation(sK9),
inference(cnf_transformation,[],[f78]) ).
fof(f78,plain,
relation(sK9),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK9])],[f36,f77]) ).
fof(f77,plain,
( ? [X0] : relation(X0)
=> relation(sK9) ),
introduced(choice_axiom,[]) ).
fof(f36,plain,
? [X0] : relation(X0),
inference(pure_predicate_removal,[],[f18]) ).
fof(f18,axiom,
? [X0] :
( relation_empty_yielding(X0)
& relation(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc3_relat_1) ).
fof(f124,plain,
relation(sK8),
inference(cnf_transformation,[],[f76]) ).
fof(f76,plain,
( relation(sK8)
& ~ empty(sK8) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK8])],[f15,f75]) ).
fof(f75,plain,
( ? [X0] :
( relation(X0)
& ~ empty(X0) )
=> ( relation(sK8)
& ~ empty(sK8) ) ),
introduced(choice_axiom,[]) ).
fof(f15,axiom,
? [X0] :
( relation(X0)
& ~ empty(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc2_relat_1) ).
fof(f123,plain,
~ empty(sK8),
inference(cnf_transformation,[],[f76]) ).
fof(f122,plain,
empty(sK7),
inference(cnf_transformation,[],[f74]) ).
fof(f74,plain,
empty(sK7),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK7])],[f14,f73]) ).
fof(f73,plain,
( ? [X0] : empty(X0)
=> empty(sK7) ),
introduced(choice_axiom,[]) ).
fof(f14,axiom,
? [X0] : empty(X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc1_xboole_0) ).
fof(f121,plain,
~ empty(sK6),
inference(cnf_transformation,[],[f72]) ).
fof(f72,plain,
~ empty(sK6),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK6])],[f17,f71]) ).
fof(f71,plain,
( ? [X0] : ~ empty(X0)
=> ~ empty(sK6) ),
introduced(choice_axiom,[]) ).
fof(f17,axiom,
? [X0] : ~ empty(X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc2_xboole_0) ).
fof(f89,plain,
relation(empty_set),
inference(cnf_transformation,[],[f8]) ).
fof(f8,axiom,
( relation(empty_set)
& empty(empty_set) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc4_relat_1) ).
fof(f86,plain,
empty(n0),
inference(cnf_transformation,[],[f22]) ).
fof(f22,axiom,
empty(n0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',spc0_boole) ).
fof(f110,plain,
! [X0] : element(sK5(X0),powerset(X0)),
inference(cnf_transformation,[],[f70]) ).
fof(f109,plain,
! [X2,X0] :
( n0 = apply(sK4(X0),X2)
| ~ in(X2,X0) ),
inference(cnf_transformation,[],[f68]) ).
fof(f90,plain,
empty(empty_set),
inference(cnf_transformation,[],[f37]) ).
fof(f37,plain,
( relation(empty_set)
& empty(empty_set) ),
inference(pure_predicate_removal,[],[f5]) ).
fof(f5,axiom,
( relation_empty_yielding(empty_set)
& relation(empty_set)
& empty(empty_set) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc12_relat_1) ).
fof(f91,plain,
relation(empty_set),
inference(cnf_transformation,[],[f37]) ).
fof(f88,plain,
empty(empty_set),
inference(cnf_transformation,[],[f8]) ).
fof(f85,plain,
~ empty(n1),
inference(cnf_transformation,[],[f23]) ).
fof(f23,axiom,
~ empty(n1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',spc1_boole) ).
fof(f1516,plain,
~ spl12_9,
inference(avatar_contradiction_clause,[],[f1515]) ).
fof(f1515,plain,
( $false
| ~ spl12_9 ),
inference(equality_resolution,[],[f1397]) ).
fof(f1397,plain,
( ! [X0] : sK0 != X0
| ~ spl12_9 ),
inference(avatar_component_clause,[],[f1396]) ).
fof(f1396,plain,
( spl12_9
<=> ! [X0] : sK0 != X0 ),
introduced(avatar_definition,[new_symbols(naming,[spl12_9])]) ).
fof(f1512,plain,
( spl12_4
| ~ spl12_12 ),
inference(avatar_split_clause,[],[f1502,f1410,f1325]) ).
fof(f1410,plain,
( spl12_12
<=> ! [X1] :
( ~ empty(sK3(X1))
| sK0 != X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_12])]) ).
fof(f1502,plain,
( ! [X0] :
( sK0 != X0
| ~ empty(X0) )
| ~ spl12_12 ),
inference(resolution,[],[f1411,f162]) ).
fof(f1411,plain,
( ! [X1] :
( ~ empty(sK3(X1))
| sK0 != X1 )
| ~ spl12_12 ),
inference(avatar_component_clause,[],[f1410]) ).
fof(f1501,plain,
~ spl12_11,
inference(avatar_contradiction_clause,[],[f1500]) ).
fof(f1500,plain,
( $false
| ~ spl12_11 ),
inference(subsumption_resolution,[],[f1462,f84]) ).
fof(f1462,plain,
( empty_set = sK0
| ~ spl12_11 ),
inference(resolution,[],[f1461,f97]) ).
fof(f1461,plain,
( empty(sK0)
| ~ spl12_11 ),
inference(equality_resolution,[],[f1408]) ).
fof(f1408,plain,
( ! [X0] :
( sK0 != X0
| empty(X0) )
| ~ spl12_11 ),
inference(avatar_component_clause,[],[f1407]) ).
fof(f1407,plain,
( spl12_11
<=> ! [X0] :
( empty(X0)
| sK0 != X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_11])]) ).
fof(f1412,plain,
( spl12_11
| spl12_12 ),
inference(avatar_split_clause,[],[f1084,f1410,f1407]) ).
fof(f1401,plain,
( spl12_9
| spl12_10
| ~ spl12_4 ),
inference(avatar_split_clause,[],[f1388,f1325,f1399,f1396]) ).
fof(f1399,plain,
( spl12_10
<=> ! [X1] :
( ~ empty(sK4(X1))
| sK0 != X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_10])]) ).
fof(f1349,plain,
( spl12_7
| spl12_8 ),
inference(avatar_split_clause,[],[f1303,f1347,f1342]) ).
fof(f1342,plain,
( spl12_7
<=> ! [X0] : sK0 != sK4(X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_7])]) ).
fof(f1347,plain,
( spl12_8
<=> ! [X1] :
( function(X1)
| sK0 != X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_8])]) ).
fof(f1344,plain,
( spl12_7
| spl12_6 ),
inference(avatar_split_clause,[],[f1302,f1333,f1342]) ).
fof(f1333,plain,
( spl12_6
<=> ! [X1] :
( relation(X1)
| sK0 != X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_6])]) ).
fof(f1335,plain,
( spl12_5
| spl12_6 ),
inference(avatar_split_clause,[],[f1295,f1333,f1330]) ).
fof(f1330,plain,
( spl12_5
<=> ! [X0] : sK0 != sK3(X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_5])]) ).
fof(f1327,plain,
( spl12_3
| spl12_4 ),
inference(avatar_split_clause,[],[f1235,f1325,f1322]) ).
fof(f1322,plain,
( spl12_3
<=> ! [X0] : powerset(X0) != sK0 ),
introduced(avatar_definition,[new_symbols(naming,[spl12_3])]) ).
fof(f789,plain,
~ spl12_2,
inference(avatar_contradiction_clause,[],[f777]) ).
fof(f777,plain,
( $false
| ~ spl12_2 ),
inference(resolution,[],[f775,f87]) ).
fof(f775,plain,
( ! [X0] : ~ empty(X0)
| ~ spl12_2 ),
inference(avatar_component_clause,[],[f774]) ).
fof(f774,plain,
( spl12_2
<=> ! [X0] : ~ empty(X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_2])]) ).
fof(f788,plain,
~ spl12_2,
inference(avatar_contradiction_clause,[],[f779]) ).
fof(f779,plain,
( $false
| ~ spl12_2 ),
inference(resolution,[],[f775,f86]) ).
fof(f787,plain,
~ spl12_2,
inference(avatar_contradiction_clause,[],[f782]) ).
fof(f782,plain,
( $false
| ~ spl12_2 ),
inference(resolution,[],[f775,f111]) ).
fof(f786,plain,
~ spl12_2,
inference(avatar_contradiction_clause,[],[f783]) ).
fof(f783,plain,
( $false
| ~ spl12_2 ),
inference(resolution,[],[f775,f122]) ).
fof(f785,plain,
~ spl12_2,
inference(avatar_contradiction_clause,[],[f784]) ).
fof(f784,plain,
( $false
| ~ spl12_2 ),
inference(resolution,[],[f775,f128]) ).
fof(f776,plain,
( spl12_1
| spl12_2 ),
inference(avatar_split_clause,[],[f763,f774,f771]) ).
fof(f771,plain,
( spl12_1
<=> ! [X1] : ~ in(X1,empty_set) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_1])]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : SET994+1 : TPTP v8.1.2. Released v3.2.0.
% 0.10/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.36 % Computer : n011.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Fri May 3 16:26:08 EDT 2024
% 0.15/0.36 % CPUTime :
% 0.15/0.36 % (9529)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.37 % (9532)WARNING: value z3 for option sas not known
% 0.15/0.37 % (9532)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)
% 0.15/0.38 % (9530)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.15/0.38 % (9531)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.15/0.38 % (9534)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)
% 0.15/0.38 % (9535)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)
% 0.15/0.38 % (9533)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.15/0.38 % (9536)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)
% 0.15/0.38 TRYING [1]
% 0.15/0.38 TRYING [2]
% 0.15/0.38 TRYING [3]
% 0.15/0.38 TRYING [1]
% 0.15/0.38 TRYING [2]
% 0.15/0.38 TRYING [4]
% 0.15/0.39 TRYING [3]
% 0.15/0.39 TRYING [5]
% 0.15/0.40 TRYING [6]
% 0.15/0.40 TRYING [4]
% 0.22/0.41 TRYING [7]
% 0.22/0.41 % (9532)First to succeed.
% 0.22/0.42 TRYING [5]
% 0.22/0.42 % (9532)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-9529"
% 0.22/0.42 TRYING [1]
% 0.22/0.42 TRYING [2]
% 0.22/0.42 % (9532)Refutation found. Thanks to Tanya!
% 0.22/0.42 % SZS status Theorem for theBenchmark
% 0.22/0.42 % SZS output start Proof for theBenchmark
% See solution above
% 0.22/0.43 % (9532)------------------------------
% 0.22/0.43 % (9532)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.22/0.43 % (9532)Termination reason: Refutation
% 0.22/0.43
% 0.22/0.43 % (9532)Memory used [KB]: 1366
% 0.22/0.43 % (9532)Time elapsed: 0.045 s
% 0.22/0.43 % (9532)Instructions burned: 120 (million)
% 0.22/0.43 % (9529)Success in time 0.06 s
%------------------------------------------------------------------------------