TSTP Solution File: SEU388+1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SEU388+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n026.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Apr 30 15:33:49 EDT 2024
% Result : Theorem 0.20s 0.49s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 26
% Number of leaves : 173
% Syntax : Number of formulae : 2158 ( 264 unt; 0 def)
% Number of atoms : 7592 ( 444 equ)
% Maximal formula atoms : 28 ( 3 avg)
% Number of connectives : 9000 (3566 ~;3879 |;1328 &)
% ( 25 <=>; 199 =>; 0 <=; 3 <~>)
% Maximal formula depth : 22 ( 5 avg)
% Maximal term depth : 9 ( 2 avg)
% Number of predicates : 73 ( 71 usr; 18 prp; 0-3 aty)
% Number of functors : 55 ( 55 usr; 19 con; 0-3 aty)
% Number of variables : 2579 (2402 !; 177 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2975,plain,
$false,
inference(avatar_sat_refutation,[],[f808,f835,f842,f843,f845,f847,f849,f897,f973,f977,f991,f1016,f2845,f2888,f2920,f2923,f2974]) ).
fof(f2974,plain,
( ~ spl51_1
| spl51_2 ),
inference(avatar_contradiction_clause,[],[f2973]) ).
fof(f2973,plain,
( $false
| ~ spl51_1
| spl51_2 ),
inference(subsumption_resolution,[],[f2972,f803]) ).
fof(f803,plain,
( in(sK8,neighborhood_system(sK6,sK7))
| ~ spl51_1 ),
inference(avatar_component_clause,[],[f801]) ).
fof(f801,plain,
( spl51_1
<=> in(sK8,neighborhood_system(sK6,sK7)) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_1])]) ).
fof(f2972,plain,
( ~ in(sK8,neighborhood_system(sK6,sK7))
| ~ spl51_1
| spl51_2 ),
inference(forward_demodulation,[],[f2971,f2434]) ).
fof(f2434,plain,
neighborhood_system(sK6,sK7) = a_2_0_yellow19(sK6,sK7),
inference(subsumption_resolution,[],[f2433,f432]) ).
fof(f432,plain,
~ empty_carrier(sK6),
inference(cnf_transformation,[],[f337]) ).
fof(f337,plain,
( ( ~ point_neighbourhood(sK8,sK6,sK7)
| ~ in(sK8,neighborhood_system(sK6,sK7)) )
& ( point_neighbourhood(sK8,sK6,sK7)
| in(sK8,neighborhood_system(sK6,sK7)) )
& element(sK7,the_carrier(sK6))
& top_str(sK6)
& topological_space(sK6)
& ~ empty_carrier(sK6) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK6,sK7,sK8])],[f333,f336,f335,f334]) ).
fof(f334,plain,
( ? [X0] :
( ? [X1] :
( ? [X2] :
( ( ~ point_neighbourhood(X2,X0,X1)
| ~ in(X2,neighborhood_system(X0,X1)) )
& ( point_neighbourhood(X2,X0,X1)
| in(X2,neighborhood_system(X0,X1)) ) )
& element(X1,the_carrier(X0)) )
& top_str(X0)
& topological_space(X0)
& ~ empty_carrier(X0) )
=> ( ? [X1] :
( ? [X2] :
( ( ~ point_neighbourhood(X2,sK6,X1)
| ~ in(X2,neighborhood_system(sK6,X1)) )
& ( point_neighbourhood(X2,sK6,X1)
| in(X2,neighborhood_system(sK6,X1)) ) )
& element(X1,the_carrier(sK6)) )
& top_str(sK6)
& topological_space(sK6)
& ~ empty_carrier(sK6) ) ),
introduced(choice_axiom,[]) ).
fof(f335,plain,
( ? [X1] :
( ? [X2] :
( ( ~ point_neighbourhood(X2,sK6,X1)
| ~ in(X2,neighborhood_system(sK6,X1)) )
& ( point_neighbourhood(X2,sK6,X1)
| in(X2,neighborhood_system(sK6,X1)) ) )
& element(X1,the_carrier(sK6)) )
=> ( ? [X2] :
( ( ~ point_neighbourhood(X2,sK6,sK7)
| ~ in(X2,neighborhood_system(sK6,sK7)) )
& ( point_neighbourhood(X2,sK6,sK7)
| in(X2,neighborhood_system(sK6,sK7)) ) )
& element(sK7,the_carrier(sK6)) ) ),
introduced(choice_axiom,[]) ).
fof(f336,plain,
( ? [X2] :
( ( ~ point_neighbourhood(X2,sK6,sK7)
| ~ in(X2,neighborhood_system(sK6,sK7)) )
& ( point_neighbourhood(X2,sK6,sK7)
| in(X2,neighborhood_system(sK6,sK7)) ) )
=> ( ( ~ point_neighbourhood(sK8,sK6,sK7)
| ~ in(sK8,neighborhood_system(sK6,sK7)) )
& ( point_neighbourhood(sK8,sK6,sK7)
| in(sK8,neighborhood_system(sK6,sK7)) ) ) ),
introduced(choice_axiom,[]) ).
fof(f333,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ( ~ point_neighbourhood(X2,X0,X1)
| ~ in(X2,neighborhood_system(X0,X1)) )
& ( point_neighbourhood(X2,X0,X1)
| in(X2,neighborhood_system(X0,X1)) ) )
& element(X1,the_carrier(X0)) )
& top_str(X0)
& topological_space(X0)
& ~ empty_carrier(X0) ),
inference(nnf_transformation,[],[f191]) ).
fof(f191,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( in(X2,neighborhood_system(X0,X1))
<~> point_neighbourhood(X2,X0,X1) )
& element(X1,the_carrier(X0)) )
& top_str(X0)
& topological_space(X0)
& ~ empty_carrier(X0) ),
inference(flattening,[],[f190]) ).
fof(f190,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( in(X2,neighborhood_system(X0,X1))
<~> point_neighbourhood(X2,X0,X1) )
& element(X1,the_carrier(X0)) )
& top_str(X0)
& topological_space(X0)
& ~ empty_carrier(X0) ),
inference(ennf_transformation,[],[f115]) ).
fof(f115,negated_conjecture,
~ ! [X0] :
( ( top_str(X0)
& topological_space(X0)
& ~ empty_carrier(X0) )
=> ! [X1] :
( element(X1,the_carrier(X0))
=> ! [X2] :
( in(X2,neighborhood_system(X0,X1))
<=> point_neighbourhood(X2,X0,X1) ) ) ),
inference(negated_conjecture,[],[f114]) ).
fof(f114,conjecture,
! [X0] :
( ( top_str(X0)
& topological_space(X0)
& ~ empty_carrier(X0) )
=> ! [X1] :
( element(X1,the_carrier(X0))
=> ! [X2] :
( in(X2,neighborhood_system(X0,X1))
<=> point_neighbourhood(X2,X0,X1) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t3_yellow19) ).
fof(f2433,plain,
( neighborhood_system(sK6,sK7) = a_2_0_yellow19(sK6,sK7)
| empty_carrier(sK6) ),
inference(subsumption_resolution,[],[f2432,f433]) ).
fof(f433,plain,
topological_space(sK6),
inference(cnf_transformation,[],[f337]) ).
fof(f2432,plain,
( neighborhood_system(sK6,sK7) = a_2_0_yellow19(sK6,sK7)
| ~ topological_space(sK6)
| empty_carrier(sK6) ),
inference(subsumption_resolution,[],[f2418,f434]) ).
fof(f434,plain,
top_str(sK6),
inference(cnf_transformation,[],[f337]) ).
fof(f2418,plain,
( neighborhood_system(sK6,sK7) = a_2_0_yellow19(sK6,sK7)
| ~ top_str(sK6)
| ~ topological_space(sK6)
| empty_carrier(sK6) ),
inference(resolution,[],[f575,f435]) ).
fof(f435,plain,
element(sK7,the_carrier(sK6)),
inference(cnf_transformation,[],[f337]) ).
fof(f575,plain,
! [X0,X1] :
( ~ element(X1,the_carrier(X0))
| neighborhood_system(X0,X1) = a_2_0_yellow19(X0,X1)
| ~ top_str(X0)
| ~ topological_space(X0)
| empty_carrier(X0) ),
inference(cnf_transformation,[],[f240]) ).
fof(f240,plain,
! [X0] :
( ! [X1] :
( neighborhood_system(X0,X1) = a_2_0_yellow19(X0,X1)
| ~ element(X1,the_carrier(X0)) )
| ~ top_str(X0)
| ~ topological_space(X0)
| empty_carrier(X0) ),
inference(flattening,[],[f239]) ).
fof(f239,plain,
! [X0] :
( ! [X1] :
( neighborhood_system(X0,X1) = a_2_0_yellow19(X0,X1)
| ~ element(X1,the_carrier(X0)) )
| ~ top_str(X0)
| ~ topological_space(X0)
| empty_carrier(X0) ),
inference(ennf_transformation,[],[f27]) ).
fof(f27,axiom,
! [X0] :
( ( top_str(X0)
& topological_space(X0)
& ~ empty_carrier(X0) )
=> ! [X1] :
( element(X1,the_carrier(X0))
=> neighborhood_system(X0,X1) = a_2_0_yellow19(X0,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d1_yellow19) ).
fof(f2971,plain,
( ~ in(sK8,a_2_0_yellow19(sK6,sK7))
| ~ spl51_1
| spl51_2 ),
inference(subsumption_resolution,[],[f2970,f432]) ).
fof(f2970,plain,
( ~ in(sK8,a_2_0_yellow19(sK6,sK7))
| empty_carrier(sK6)
| ~ spl51_1
| spl51_2 ),
inference(subsumption_resolution,[],[f2969,f433]) ).
fof(f2969,plain,
( ~ in(sK8,a_2_0_yellow19(sK6,sK7))
| ~ topological_space(sK6)
| empty_carrier(sK6)
| ~ spl51_1
| spl51_2 ),
inference(subsumption_resolution,[],[f2968,f434]) ).
fof(f2968,plain,
( ~ in(sK8,a_2_0_yellow19(sK6,sK7))
| ~ top_str(sK6)
| ~ topological_space(sK6)
| empty_carrier(sK6)
| ~ spl51_1
| spl51_2 ),
inference(subsumption_resolution,[],[f2967,f435]) ).
fof(f2967,plain,
( ~ in(sK8,a_2_0_yellow19(sK6,sK7))
| ~ element(sK7,the_carrier(sK6))
| ~ top_str(sK6)
| ~ topological_space(sK6)
| empty_carrier(sK6)
| ~ spl51_1
| spl51_2 ),
inference(subsumption_resolution,[],[f2966,f806]) ).
fof(f806,plain,
( ~ point_neighbourhood(sK8,sK6,sK7)
| spl51_2 ),
inference(avatar_component_clause,[],[f805]) ).
fof(f805,plain,
( spl51_2
<=> point_neighbourhood(sK8,sK6,sK7) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_2])]) ).
fof(f2966,plain,
( point_neighbourhood(sK8,sK6,sK7)
| ~ in(sK8,a_2_0_yellow19(sK6,sK7))
| ~ element(sK7,the_carrier(sK6))
| ~ top_str(sK6)
| ~ topological_space(sK6)
| empty_carrier(sK6)
| ~ spl51_1 ),
inference(superposition,[],[f660,f2935]) ).
fof(f2935,plain,
( sK8 = sK35(sK8,sK6,sK7)
| ~ spl51_1 ),
inference(resolution,[],[f2912,f803]) ).
fof(f2912,plain,
! [X0] :
( ~ in(X0,neighborhood_system(sK6,sK7))
| sK35(X0,sK6,sK7) = X0 ),
inference(subsumption_resolution,[],[f2911,f432]) ).
fof(f2911,plain,
! [X0] :
( ~ in(X0,neighborhood_system(sK6,sK7))
| sK35(X0,sK6,sK7) = X0
| empty_carrier(sK6) ),
inference(subsumption_resolution,[],[f2910,f433]) ).
fof(f2910,plain,
! [X0] :
( ~ in(X0,neighborhood_system(sK6,sK7))
| sK35(X0,sK6,sK7) = X0
| ~ topological_space(sK6)
| empty_carrier(sK6) ),
inference(subsumption_resolution,[],[f2909,f434]) ).
fof(f2909,plain,
! [X0] :
( ~ in(X0,neighborhood_system(sK6,sK7))
| sK35(X0,sK6,sK7) = X0
| ~ top_str(sK6)
| ~ topological_space(sK6)
| empty_carrier(sK6) ),
inference(subsumption_resolution,[],[f2907,f435]) ).
fof(f2907,plain,
! [X0] :
( ~ in(X0,neighborhood_system(sK6,sK7))
| sK35(X0,sK6,sK7) = X0
| ~ element(sK7,the_carrier(sK6))
| ~ top_str(sK6)
| ~ topological_space(sK6)
| empty_carrier(sK6) ),
inference(superposition,[],[f661,f2434]) ).
fof(f661,plain,
! [X2,X0,X1] :
( ~ in(X0,a_2_0_yellow19(X1,X2))
| sK35(X0,X1,X2) = X0
| ~ element(X2,the_carrier(X1))
| ~ top_str(X1)
| ~ topological_space(X1)
| empty_carrier(X1) ),
inference(cnf_transformation,[],[f400]) ).
fof(f400,plain,
! [X0,X1,X2] :
( ( ( in(X0,a_2_0_yellow19(X1,X2))
| ! [X3] :
( X0 != X3
| ~ point_neighbourhood(X3,X1,X2) ) )
& ( ( sK35(X0,X1,X2) = X0
& point_neighbourhood(sK35(X0,X1,X2),X1,X2) )
| ~ in(X0,a_2_0_yellow19(X1,X2)) ) )
| ~ element(X2,the_carrier(X1))
| ~ top_str(X1)
| ~ topological_space(X1)
| empty_carrier(X1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK35])],[f398,f399]) ).
fof(f399,plain,
! [X0,X1,X2] :
( ? [X4] :
( X0 = X4
& point_neighbourhood(X4,X1,X2) )
=> ( sK35(X0,X1,X2) = X0
& point_neighbourhood(sK35(X0,X1,X2),X1,X2) ) ),
introduced(choice_axiom,[]) ).
fof(f398,plain,
! [X0,X1,X2] :
( ( ( in(X0,a_2_0_yellow19(X1,X2))
| ! [X3] :
( X0 != X3
| ~ point_neighbourhood(X3,X1,X2) ) )
& ( ? [X4] :
( X0 = X4
& point_neighbourhood(X4,X1,X2) )
| ~ in(X0,a_2_0_yellow19(X1,X2)) ) )
| ~ element(X2,the_carrier(X1))
| ~ top_str(X1)
| ~ topological_space(X1)
| empty_carrier(X1) ),
inference(rectify,[],[f397]) ).
fof(f397,plain,
! [X0,X1,X2] :
( ( ( in(X0,a_2_0_yellow19(X1,X2))
| ! [X3] :
( X0 != X3
| ~ point_neighbourhood(X3,X1,X2) ) )
& ( ? [X3] :
( X0 = X3
& point_neighbourhood(X3,X1,X2) )
| ~ in(X0,a_2_0_yellow19(X1,X2)) ) )
| ~ element(X2,the_carrier(X1))
| ~ top_str(X1)
| ~ topological_space(X1)
| empty_carrier(X1) ),
inference(nnf_transformation,[],[f317]) ).
fof(f317,plain,
! [X0,X1,X2] :
( ( in(X0,a_2_0_yellow19(X1,X2))
<=> ? [X3] :
( X0 = X3
& point_neighbourhood(X3,X1,X2) ) )
| ~ element(X2,the_carrier(X1))
| ~ top_str(X1)
| ~ topological_space(X1)
| empty_carrier(X1) ),
inference(flattening,[],[f316]) ).
fof(f316,plain,
! [X0,X1,X2] :
( ( in(X0,a_2_0_yellow19(X1,X2))
<=> ? [X3] :
( X0 = X3
& point_neighbourhood(X3,X1,X2) ) )
| ~ element(X2,the_carrier(X1))
| ~ top_str(X1)
| ~ topological_space(X1)
| empty_carrier(X1) ),
inference(ennf_transformation,[],[f72]) ).
fof(f72,axiom,
! [X0,X1,X2] :
( ( element(X2,the_carrier(X1))
& top_str(X1)
& topological_space(X1)
& ~ empty_carrier(X1) )
=> ( in(X0,a_2_0_yellow19(X1,X2))
<=> ? [X3] :
( X0 = X3
& point_neighbourhood(X3,X1,X2) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fraenkel_a_2_0_yellow19) ).
fof(f660,plain,
! [X2,X0,X1] :
( point_neighbourhood(sK35(X0,X1,X2),X1,X2)
| ~ in(X0,a_2_0_yellow19(X1,X2))
| ~ element(X2,the_carrier(X1))
| ~ top_str(X1)
| ~ topological_space(X1)
| empty_carrier(X1) ),
inference(cnf_transformation,[],[f400]) ).
fof(f2923,plain,
( ~ spl51_1
| ~ spl51_2 ),
inference(avatar_contradiction_clause,[],[f2922]) ).
fof(f2922,plain,
( $false
| ~ spl51_1
| ~ spl51_2 ),
inference(global_subsumption,[],[f437,f439,f450,f449,f448,f447,f446,f471,f470,f469,f468,f467,f466,f465,f464,f463,f462,f461,f460,f459,f482,f481,f480,f479,f478,f477,f476,f475,f474,f473,f472,f483,f498,f749,f497,f750,f496,f751,f495,f752,f494,f753,f493,f754,f492,f755,f491,f756,f490,f757,f489,f758,f488,f759,f487,f760,f485,f761,f555,f567,f762,f587,f588,f590,f602,f634,f660,f432,f433,f434,f438,f667,f668,f669,f670,f671,f672,f673,f674,f675,f676,f677,f678,f679,f680,f681,f682,f683,f684,f685,f686,f687,f688,f689,f690,f691,f692,f693,f694,f695,f696,f697,f698,f699,f700,f701,f702,f703,f704,f705,f706,f707,f708,f709,f710,f711,f712,f713,f714,f715,f716,f717,f718,f719,f720,f721,f722,f723,f724,f725,f726,f727,f728,f729,f730,f731,f732,f733,f734,f735,f736,f737,f738,f739,f740,f741,f742,f743,f744,f745,f746,f747,f440,f441,f442,f443,f444,f445,f451,f452,f453,f454,f455,f456,f457,f458,f484,f635,f637,f638,f639,f435,f499,f508,f518,f534,f535,f536,f550,f551,f553,f554,f563,f573,f633,f486,f501,f503,f504,f506,f507,f511,f515,f516,f574,f766,f765,f607,f616,f770,f656,f512,f520,f521,f522,f524,f609,f610,f617,f618,f619,f620,f621,f636,f640,f641,f657,f658,f764,f791,f795,f792,f798,f769,f436,f807,f500,f502,f505,f583,f584,f586,f589,f592,f629,f630,f654,f655,f510,f513,f517,f821,f826,f818,f822,f526,f528,f529,f571,f572,f600,f601,f615,f623,f625,f626,f628,f642,f878,f887,f866,f874,f886,f900,f902,f643,f904,f876,f879,f880,f881,f905,f907,f909,f911,f644,f914,f647,f651,f664,f915,f916,f917,f665,f810,f811,f923,f819,f820,f825,f514,f853,f854,f859,f860,f861,f877,f882,f883,f884,f885,f799,f519,f955,f960,f962,f959,f954,f577,f937,f940,f945,f948,f951,f913,f995,f581,f594,f595,f666,f999,f1008,f1018,f1020,f1027,f1028,f1021,f996,f537,f1036,f1037,f1038,f1022,f1023,f1043,f935,f956,f1049,f1050,f997,f1052,f1057,f1059,f1060,f1061,f998,f1064,f1069,f1070,f1073,f1074,f540,f1003,f1005,f1078,f1079,f1080,f1006,f1082,f1083,f1084,f1007,f1047,f543,f1019,f1088,f1090,f1091,f1092,f1093,f1094,f1071,f1081,f1085,f1024,f1099,f1101,f1102,f1103,f1104,f1105,f544,f570,f578,f579,f582,f585,f1114,f1116,f591,f1117,f1118,f1120,f622,f1121,f1122,f1124,f624,f1125,f1126,f1128,f627,f1129,f1130,f1132,f659,f1133,f1134,f1136,f663,f1138,f1139,f1140,f1145,f1146,f1147,f1148,f1149,f1150,f1151,f1152,f1153,f1154,f1155,f1157,f1156,f1159,f1161,f1165,f1163,f523,f1178,f1179,f1180,f1181,f1167,f1190,f1182,f1183,f1184,f1185,f1186,f1187,f1188,f1204,f1205,f1206,f1207,f1208,f1209,f1210,f1213,f1214,f1216,f1217,f1220,f1221,f597,f1211,f1229,f1232,f1230,f1212,f1215,f1241,f1137,f1142,f1246,f599,f1251,f1271,f1272,f1266,f1254,f1255,f1274,f1277,f1275,f1278,f1253,f1281,f1280,f1282,f1283,f1284,f1285,f1286,f509,f1288,f1289,f1290,f1297,f1298,f1309,f1308,f1307,f1305,f1313,f1312,f1273,f1320,f1323,f1276,f1325,f1324,f1326,f1327,f1328,f1329,f1330,f1287,f1332,f1334,f1335,f1336,f1337,f1338,f1339,f1340,f1341,f1344,f1345,f1333,f1353,f1354,f1355,f559,f1319,f1376,f1377,f1378,f1369,f1322,f1358,f1379,f1381,f1382,f1380,f1331,f1385,f1387,f1388,f1389,f1390,f1391,f1392,f1393,f1394,f1397,f1398,f1386,f1408,f1409,f1410,f576,f1412,f1413,f1414,f1418,f1417,f1383,f1143,f1424,f1422,f1434,f1430,f1454,f1455,f1447,f1433,f1435,f1458,f1461,f1459,f580,f1465,f1467,f1470,f1462,f1432,f1472,f1473,f1474,f1471,f1476,f1477,f1478,f1479,f1480,f1481,f1482,f1423,f1489,f1492,f1456,f1499,f1502,f1457,f1509,f1512,f593,f1514,f1515,f1519,f1518,f1460,f1521,f1522,f1523,f1520,f1524,f1525,f1526,f1527,f1528,f1529,f1530,f1531,f1475,f1532,f1534,f1535,f1536,f1537,f1538,f1539,f1540,f1541,f1542,f1543,f1546,f1547,f1533,f1555,f1556,f1557,f652,f1558,f1559,f1560,f1561,f1562,f1564,f1565,f1566,f1567,f1568,f1569,f1570,f1571,f1572,f1573,f1574,f1575,f1576,f1577,f1578,f1579,f1580,f1581,f1582,f1583,f1585,f1586,f1587,f1588,f1589,f1590,f1591,f1592,f1593,f1594,f1595,f1596,f1597,f1598,f1599,f1488,f1664,f1665,f1666,f1667,f1655,f1491,f1498,f1691,f1692,f1693,f1694,f1682,f1501,f1508,f1718,f1719,f1720,f1721,f1709,f1511,f653,f1744,f1643,f1668,f1761,f1762,f1669,f1670,f565,f1765,f1695,f1766,f1767,f1696,f1697,f1722,f1770,f1771,f1723,f1763,f1768,f596,f1775,f1777,f1779,f1772,f1144,f1793,f1794,f1796,f1797,f1787,f1788,f1791,f1807,f1803,f1830,f1831,f1821,f1806,f1808,f1835,f1838,f1836,f598,f1842,f1844,f1846,f1839,f1805,f1848,f1849,f1850,f1851,f1852,f1853,f1854,f1855,f1856,f1847,f1859,f1860,f1861,f1862,f1863,f1864,f1865,f1866,f1867,f1792,f1875,f1878,f603,f1879,f1880,f1881,f1916,f1888,f1889,f1912,f1911,f1910,f1901,f1919,f1920,f1921,f1922,f1923,f1924,f1925,f1926,f1917,f1918,f1795,f1936,f1937,f1939,f1940,f1832,f1948,f1949,f1951,f1952,f1833,f1960,f1961,f1963,f1964,f1834,f1972,f1973,f1975,f1976,f604,f2004,f2005,f2006,f2013,f2014,f2039,f2026,f2047,f2048,f2049,f2050,f2051,f2052,f2053,f2054,f2055,f2056,f2057,f2058,f2045,f2046,f1837,f2062,f2063,f2064,f2065,f2066,f2067,f2068,f2069,f2070,f2061,f2073,f2074,f2075,f2076,f2077,f2078,f2079,f2080,f2081,f605,f2084,f2085,f2086,f2093,f2094,f2121,f2106,f2127,f2128,f2129,f2130,f2131,f2132,f2133,f2134,f2135,f2136,f2137,f2138,f2125,f2126,f1874,f2165,f2166,f2167,f2168,f2169,f2154,f1877,f1935,f2196,f2197,f2198,f2199,f2200,f2185,f1938,f1947,f2227,f2228,f2229,f2230,f2231,f2216,f1950,f645,f2234,f2235,f2236,f2237,f2238,f2239,f2240,f2241,f2242,f2243,f2244,f2245,f1959,f2271,f2272,f2273,f2274,f2275,f2260,f1962,f1971,f2302,f2303,f2304,f2305,f2306,f2291,f1974,f2141,f646,f2339,f2340,f2341,f2342,f2343,f2344,f2345,f2346,f2347,f2348,f2349,f2350,f2170,f2352,f2353,f2171,f2172,f2201,f2356,f2357,f2202,f2203,f2232,f2360,f2361,f2233,f632,f2247,f2276,f2364,f2365,f2277,f2278,f2307,f2368,f2369,f2308,f2354,f650,f2358,f2362,f2366,f2370,f1311,f1160,f2390,f2391,f2392,f2393,f2394,f2395,f2396,f2397,f2398,f2386,f2387,f1252,f2399,f2400,f2401,f2402,f2403,f2404,f2405,f2406,f2407,f2408,f2409,f2410,f2411,f2412,f2413,f575,f2417,f2419,f2435,f2436,f2437,f2438,f2439,f2440,f2441,f2442,f2443,f2444,f2445,f2446,f2434,f1431,f2447,f2448,f2449,f2450,f2451,f2452,f2453,f2454,f2455,f2456,f2457,f2458,f2459,f2460,f2461,f1804,f2465,f2466,f2467,f2468,f2469,f2470,f2471,f2472,f2473,f2474,f2475,f2476,f2477,f2478,f2479,f1321,f2484,f2485,f2486,f2487,f2488,f2489,f2490,f2491,f2492,f2493,f2494,f2495,f2496,f2497,f2483,f2500,f2501,f2502,f2503,f2504,f2505,f2506,f2507,f2508,f1490,f2514,f2515,f2516,f2517,f2518,f2519,f2520,f2521,f2522,f2523,f2524,f2525,f2526,f2527,f2513,f2530,f2531,f2532,f2533,f2534,f2535,f2536,f2537,f2538,f2512,f2542,f2544,f2545,f1500,f2547,f2548,f2549,f2550,f2551,f2552,f2553,f2554,f2555,f2556,f2557,f2558,f2559,f2560,f2546,f2563,f2564,f2565,f2566,f2567,f2568,f2569,f2570,f2571,f612,f2575,f2576,f2577,f2617,f2580,f2581,f2582,f2584,f2585,f2622,f2613,f2623,f2589,f2590,f2591,f2592,f2627,f2628,f2610,f2597,f2629,f2630,f2631,f2632,f2633,f2634,f2635,f2636,f2637,f2638,f2639,f2640,f2619,f2621,f2626,f2651,f2654,f2655,f2656,f2657,f2658,f2659,f2660,f2661,f2649,f2650,f614,f2668,f2669,f2670,f2710,f2673,f2674,f2675,f2677,f2678,f2711,f2712,f2713,f2682,f2683,f2684,f2685,f2705,f2714,f2715,f2690,f2716,f2717,f2718,f2719,f2720,f2721,f2722,f2723,f2724,f2725,f2726,f2727,f1510,f2729,f2730,f2731,f2732,f2733,f2734,f2735,f2736,f2737,f2738,f2739,f2740,f2741,f2742,f2728,f2745,f2746,f2747,f2748,f2749,f2750,f2751,f2752,f2753,f631,f2757,f2758,f2763,f2765,f2767,f1876,f2769,f2770,f2771,f2772,f2773,f2774,f2775,f2776,f2777,f2778,f2779,f2780,f2781,f2782,f648,f2785,f2786,f2787,f2788,f2789,f2790,f2791,f2792,f2793,f2795,f2768,f2796,f2797,f2798,f2799,f2800,f2801,f2802,f2803,f2804,f649,f2810,f2814,f2828,f2830,f2832,f2834,f2835,f2823,f2836,f2850,f748,f2852,f2853,f2854,f2855,f2821,f2865,f2826,f661,f2908,f2890,f2891,f2892,f2893,f2894,f2895,f2896,f2897,f2898,f2899,f2900,f2901,f2902,f2903,f2904,f2912,f2860,f2913,f2914,f2916,f2918,f2921,f803]) ).
fof(f2921,plain,
( ~ in(sK8,neighborhood_system(sK6,sK7))
| ~ spl51_2 ),
inference(subsumption_resolution,[],[f437,f807]) ).
fof(f2918,plain,
! [X0] :
( ~ point_neighbourhood(sK32(X0,neighborhood_system(sK6,sK7)),sK6,sK7)
| neighborhood_system(sK6,sK7) = X0
| ~ in(sK32(X0,neighborhood_system(sK6,sK7)),X0) ),
inference(resolution,[],[f2860,f653]) ).
fof(f2916,plain,
! [X0] :
( ~ subset(neighborhood_system(sK6,sK7),X0)
| ~ point_neighbourhood(powerset(X0),sK6,sK7) ),
inference(resolution,[],[f2860,f905]) ).
fof(f2914,plain,
! [X0] :
( ~ point_neighbourhood(X0,sK6,sK7)
| ~ empty(neighborhood_system(sK6,sK7)) ),
inference(resolution,[],[f2860,f656]) ).
fof(f2913,plain,
! [X0] :
( ~ in(neighborhood_system(sK6,sK7),X0)
| ~ point_neighbourhood(X0,sK6,sK7) ),
inference(resolution,[],[f2860,f640]) ).
fof(f2860,plain,
! [X0] :
( in(X0,neighborhood_system(sK6,sK7))
| ~ point_neighbourhood(X0,sK6,sK7) ),
inference(subsumption_resolution,[],[f2859,f432]) ).
fof(f2859,plain,
! [X0] :
( in(X0,neighborhood_system(sK6,sK7))
| ~ point_neighbourhood(X0,sK6,sK7)
| empty_carrier(sK6) ),
inference(subsumption_resolution,[],[f2858,f433]) ).
fof(f2858,plain,
! [X0] :
( in(X0,neighborhood_system(sK6,sK7))
| ~ point_neighbourhood(X0,sK6,sK7)
| ~ topological_space(sK6)
| empty_carrier(sK6) ),
inference(subsumption_resolution,[],[f2857,f434]) ).
fof(f2857,plain,
! [X0] :
( in(X0,neighborhood_system(sK6,sK7))
| ~ point_neighbourhood(X0,sK6,sK7)
| ~ top_str(sK6)
| ~ topological_space(sK6)
| empty_carrier(sK6) ),
inference(subsumption_resolution,[],[f2856,f435]) ).
fof(f2856,plain,
! [X0] :
( in(X0,neighborhood_system(sK6,sK7))
| ~ point_neighbourhood(X0,sK6,sK7)
| ~ element(sK7,the_carrier(sK6))
| ~ top_str(sK6)
| ~ topological_space(sK6)
| empty_carrier(sK6) ),
inference(superposition,[],[f748,f2434]) ).
fof(f2904,plain,
! [X2,X0,X1] :
( sK32(a_2_0_yellow19(X0,X1),X2) = sK35(sK32(a_2_0_yellow19(X0,X1),X2),X0,X1)
| ~ element(X1,the_carrier(X0))
| ~ top_str(X0)
| ~ topological_space(X0)
| empty_carrier(X0)
| in(sK32(a_2_0_yellow19(X0,X1),X2),X2)
| a_2_0_yellow19(X0,X1) = X2 ),
inference(resolution,[],[f661,f652]) ).
fof(f2903,plain,
! [X2,X0,X1] :
( sK32(X0,a_2_0_yellow19(X1,X2)) = sK35(sK32(X0,a_2_0_yellow19(X1,X2)),X1,X2)
| ~ element(X2,the_carrier(X1))
| ~ top_str(X1)
| ~ topological_space(X1)
| empty_carrier(X1)
| in(sK32(X0,a_2_0_yellow19(X1,X2)),X0)
| a_2_0_yellow19(X1,X2) = X0 ),
inference(resolution,[],[f661,f652]) ).
fof(f2902,plain,
! [X0,X1] :
( sK28(sK11(sK11(a_2_0_yellow19(X0,X1)))) = sK35(sK28(sK11(sK11(a_2_0_yellow19(X0,X1)))),X0,X1)
| ~ element(X1,the_carrier(X0))
| ~ top_str(X0)
| ~ topological_space(X0)
| empty_carrier(X0)
| empty(a_2_0_yellow19(X0,X1)) ),
inference(resolution,[],[f661,f1971]) ).
fof(f2901,plain,
! [X0,X1] :
( sK28(sK11(sK10(a_2_0_yellow19(X0,X1)))) = sK35(sK28(sK11(sK10(a_2_0_yellow19(X0,X1)))),X0,X1)
| ~ element(X1,the_carrier(X0))
| ~ top_str(X0)
| ~ topological_space(X0)
| empty_carrier(X0)
| empty(a_2_0_yellow19(X0,X1)) ),
inference(resolution,[],[f661,f1959]) ).
fof(f2900,plain,
! [X0,X1] :
( sK28(sK11(sK9(a_2_0_yellow19(X0,X1)))) = sK35(sK28(sK11(sK9(a_2_0_yellow19(X0,X1)))),X0,X1)
| ~ element(X1,the_carrier(X0))
| ~ top_str(X0)
| ~ topological_space(X0)
| empty_carrier(X0)
| empty(a_2_0_yellow19(X0,X1)) ),
inference(resolution,[],[f661,f1947]) ).
fof(f2899,plain,
! [X0,X1] :
( sK28(sK11(a_2_0_yellow19(X0,X1))) = sK35(sK28(sK11(a_2_0_yellow19(X0,X1))),X0,X1)
| ~ element(X1,the_carrier(X0))
| ~ top_str(X0)
| ~ topological_space(X0)
| empty_carrier(X0)
| empty(a_2_0_yellow19(X0,X1)) ),
inference(resolution,[],[f661,f1803]) ).
fof(f2898,plain,
! [X0,X1] :
( sK28(sK10(sK11(a_2_0_yellow19(X0,X1)))) = sK35(sK28(sK10(sK11(a_2_0_yellow19(X0,X1)))),X0,X1)
| ~ element(X1,the_carrier(X0))
| ~ top_str(X0)
| ~ topological_space(X0)
| empty_carrier(X0)
| empty(a_2_0_yellow19(X0,X1)) ),
inference(resolution,[],[f661,f1935]) ).
fof(f2897,plain,
! [X0,X1] :
( sK28(sK10(sK10(a_2_0_yellow19(X0,X1)))) = sK35(sK28(sK10(sK10(a_2_0_yellow19(X0,X1)))),X0,X1)
| ~ element(X1,the_carrier(X0))
| ~ top_str(X0)
| ~ topological_space(X0)
| empty_carrier(X0)
| empty(a_2_0_yellow19(X0,X1)) ),
inference(resolution,[],[f661,f1508]) ).
fof(f2896,plain,
! [X0,X1] :
( sK28(sK10(sK9(a_2_0_yellow19(X0,X1)))) = sK35(sK28(sK10(sK9(a_2_0_yellow19(X0,X1)))),X0,X1)
| ~ element(X1,the_carrier(X0))
| ~ top_str(X0)
| ~ topological_space(X0)
| empty_carrier(X0)
| empty(a_2_0_yellow19(X0,X1)) ),
inference(resolution,[],[f661,f1498]) ).
fof(f2895,plain,
! [X0,X1] :
( sK28(sK10(a_2_0_yellow19(X0,X1))) = sK35(sK28(sK10(a_2_0_yellow19(X0,X1))),X0,X1)
| ~ element(X1,the_carrier(X0))
| ~ top_str(X0)
| ~ topological_space(X0)
| empty_carrier(X0)
| empty(a_2_0_yellow19(X0,X1)) ),
inference(resolution,[],[f661,f1430]) ).
fof(f2894,plain,
! [X0,X1] :
( sK28(sK9(sK11(a_2_0_yellow19(X0,X1)))) = sK35(sK28(sK9(sK11(a_2_0_yellow19(X0,X1)))),X0,X1)
| ~ element(X1,the_carrier(X0))
| ~ top_str(X0)
| ~ topological_space(X0)
| empty_carrier(X0)
| empty(a_2_0_yellow19(X0,X1)) ),
inference(resolution,[],[f661,f1874]) ).
fof(f2893,plain,
! [X0,X1] :
( sK28(sK9(sK10(a_2_0_yellow19(X0,X1)))) = sK35(sK28(sK9(sK10(a_2_0_yellow19(X0,X1)))),X0,X1)
| ~ element(X1,the_carrier(X0))
| ~ top_str(X0)
| ~ topological_space(X0)
| empty_carrier(X0)
| empty(a_2_0_yellow19(X0,X1)) ),
inference(resolution,[],[f661,f1488]) ).
fof(f2892,plain,
! [X0,X1] :
( sK28(sK9(sK9(a_2_0_yellow19(X0,X1)))) = sK35(sK28(sK9(sK9(a_2_0_yellow19(X0,X1)))),X0,X1)
| ~ element(X1,the_carrier(X0))
| ~ top_str(X0)
| ~ topological_space(X0)
| empty_carrier(X0)
| empty(a_2_0_yellow19(X0,X1)) ),
inference(resolution,[],[f661,f1319]) ).
fof(f2891,plain,
! [X0,X1] :
( sK28(sK9(a_2_0_yellow19(X0,X1))) = sK35(sK28(sK9(a_2_0_yellow19(X0,X1))),X0,X1)
| ~ element(X1,the_carrier(X0))
| ~ top_str(X0)
| ~ topological_space(X0)
| empty_carrier(X0)
| empty(a_2_0_yellow19(X0,X1)) ),
inference(resolution,[],[f661,f1251]) ).
fof(f2890,plain,
! [X0,X1] :
( sK28(a_2_0_yellow19(X0,X1)) = sK35(sK28(a_2_0_yellow19(X0,X1)),X0,X1)
| ~ element(X1,the_carrier(X0))
| ~ top_str(X0)
| ~ topological_space(X0)
| empty_carrier(X0)
| empty(a_2_0_yellow19(X0,X1)) ),
inference(resolution,[],[f661,f874]) ).
fof(f2908,plain,
! [X2,X0,X1] :
( sK35(X0,X1,X2) = X0
| ~ element(X2,the_carrier(X1))
| ~ top_str(X1)
| ~ topological_space(X1)
| empty_carrier(X1)
| ~ point_neighbourhood(X0,X1,X2) ),
inference(duplicate_literal_removal,[],[f2889]) ).
fof(f2889,plain,
! [X2,X0,X1] :
( sK35(X0,X1,X2) = X0
| ~ element(X2,the_carrier(X1))
| ~ top_str(X1)
| ~ topological_space(X1)
| empty_carrier(X1)
| ~ point_neighbourhood(X0,X1,X2)
| ~ element(X2,the_carrier(X1))
| ~ top_str(X1)
| ~ topological_space(X1)
| empty_carrier(X1) ),
inference(resolution,[],[f661,f748]) ).
fof(f2826,plain,
( ~ boundary_set(sK8,sK6)
| ~ closed_subset(sK8,sK6)
| nowhere_dense(sK8,sK6)
| ~ spl51_2 ),
inference(subsumption_resolution,[],[f2825,f433]) ).
fof(f2825,plain,
( ~ boundary_set(sK8,sK6)
| ~ closed_subset(sK8,sK6)
| nowhere_dense(sK8,sK6)
| ~ topological_space(sK6)
| ~ spl51_2 ),
inference(subsumption_resolution,[],[f2815,f434]) ).
fof(f2815,plain,
( ~ boundary_set(sK8,sK6)
| ~ closed_subset(sK8,sK6)
| nowhere_dense(sK8,sK6)
| ~ top_str(sK6)
| ~ topological_space(sK6)
| ~ spl51_2 ),
inference(resolution,[],[f2814,f614]) ).
fof(f2865,plain,
( ! [X0] :
( ~ in(X0,sK8)
| neighborhood_system(sK6,X0) = a_2_0_yellow19(sK6,X0) )
| ~ spl51_2 ),
inference(subsumption_resolution,[],[f2864,f432]) ).
fof(f2864,plain,
( ! [X0] :
( ~ in(X0,sK8)
| neighborhood_system(sK6,X0) = a_2_0_yellow19(sK6,X0)
| empty_carrier(sK6) )
| ~ spl51_2 ),
inference(subsumption_resolution,[],[f2863,f433]) ).
fof(f2863,plain,
( ! [X0] :
( ~ in(X0,sK8)
| neighborhood_system(sK6,X0) = a_2_0_yellow19(sK6,X0)
| ~ topological_space(sK6)
| empty_carrier(sK6) )
| ~ spl51_2 ),
inference(subsumption_resolution,[],[f2861,f434]) ).
fof(f2861,plain,
( ! [X0] :
( ~ in(X0,sK8)
| neighborhood_system(sK6,X0) = a_2_0_yellow19(sK6,X0)
| ~ top_str(sK6)
| ~ topological_space(sK6)
| empty_carrier(sK6) )
| ~ spl51_2 ),
inference(resolution,[],[f2821,f575]) ).
fof(f2821,plain,
( ! [X0] :
( element(X0,the_carrier(sK6))
| ~ in(X0,sK8) )
| ~ spl51_2 ),
inference(resolution,[],[f2814,f663]) ).
fof(f2855,plain,
! [X2,X0,X1] :
( ~ point_neighbourhood(sK32(X0,a_2_0_yellow19(X1,X2)),X1,X2)
| ~ element(X2,the_carrier(X1))
| ~ top_str(X1)
| ~ topological_space(X1)
| empty_carrier(X1)
| a_2_0_yellow19(X1,X2) = X0
| ~ in(sK32(X0,a_2_0_yellow19(X1,X2)),X0) ),
inference(resolution,[],[f748,f653]) ).
fof(f2854,plain,
! [X2,X0,X1] :
( ~ point_neighbourhood(powerset(X0),X1,X2)
| ~ element(X2,the_carrier(X1))
| ~ top_str(X1)
| ~ topological_space(X1)
| empty_carrier(X1)
| ~ subset(a_2_0_yellow19(X1,X2),X0) ),
inference(resolution,[],[f748,f905]) ).
fof(f2853,plain,
! [X2,X0,X1] :
( ~ point_neighbourhood(X0,X1,X2)
| ~ element(X2,the_carrier(X1))
| ~ top_str(X1)
| ~ topological_space(X1)
| empty_carrier(X1)
| ~ empty(a_2_0_yellow19(X1,X2)) ),
inference(resolution,[],[f748,f656]) ).
fof(f2852,plain,
! [X2,X0,X1] :
( ~ point_neighbourhood(X0,X1,X2)
| ~ element(X2,the_carrier(X1))
| ~ top_str(X1)
| ~ topological_space(X1)
| empty_carrier(X1)
| ~ in(a_2_0_yellow19(X1,X2),X0) ),
inference(resolution,[],[f748,f640]) ).
fof(f748,plain,
! [X2,X3,X1] :
( in(X3,a_2_0_yellow19(X1,X2))
| ~ point_neighbourhood(X3,X1,X2)
| ~ element(X2,the_carrier(X1))
| ~ top_str(X1)
| ~ topological_space(X1)
| empty_carrier(X1) ),
inference(equality_resolution,[],[f662]) ).
fof(f662,plain,
! [X2,X3,X0,X1] :
( in(X0,a_2_0_yellow19(X1,X2))
| X0 != X3
| ~ point_neighbourhood(X3,X1,X2)
| ~ element(X2,the_carrier(X1))
| ~ top_str(X1)
| ~ topological_space(X1)
| empty_carrier(X1) ),
inference(cnf_transformation,[],[f400]) ).
fof(f2850,plain,
( ~ in(powerset(the_carrier(sK6)),sK8)
| ~ spl51_2 ),
inference(resolution,[],[f2836,f640]) ).
fof(f2836,plain,
( in(sK8,powerset(the_carrier(sK6)))
| ~ spl51_2 ),
inference(subsumption_resolution,[],[f2824,f440]) ).
fof(f2824,plain,
( empty(powerset(the_carrier(sK6)))
| in(sK8,powerset(the_carrier(sK6)))
| ~ spl51_2 ),
inference(resolution,[],[f2814,f642]) ).
fof(f2823,plain,
( finite(sK8)
| ~ finite(the_carrier(sK6))
| ~ spl51_2 ),
inference(resolution,[],[f2814,f517]) ).
fof(f2835,plain,
( ~ empty(sK8)
| boundary_set(sK8,sK6)
| ~ spl51_2 ),
inference(subsumption_resolution,[],[f2820,f434]) ).
fof(f2820,plain,
( ~ empty(sK8)
| boundary_set(sK8,sK6)
| ~ top_str(sK6)
| ~ spl51_2 ),
inference(resolution,[],[f2814,f509]) ).
fof(f2834,plain,
( ~ empty(sK8)
| nowhere_dense(sK8,sK6)
| ~ spl51_2 ),
inference(subsumption_resolution,[],[f2833,f433]) ).
fof(f2833,plain,
( ~ empty(sK8)
| nowhere_dense(sK8,sK6)
| ~ topological_space(sK6)
| ~ spl51_2 ),
inference(subsumption_resolution,[],[f2819,f434]) ).
fof(f2819,plain,
( ~ empty(sK8)
| nowhere_dense(sK8,sK6)
| ~ top_str(sK6)
| ~ topological_space(sK6)
| ~ spl51_2 ),
inference(resolution,[],[f2814,f603]) ).
fof(f2832,plain,
( ~ empty(sK8)
| open_subset(sK8,sK6)
| ~ spl51_2 ),
inference(subsumption_resolution,[],[f2831,f433]) ).
fof(f2831,plain,
( ~ empty(sK8)
| open_subset(sK8,sK6)
| ~ topological_space(sK6)
| ~ spl51_2 ),
inference(subsumption_resolution,[],[f2818,f434]) ).
fof(f2818,plain,
( ~ empty(sK8)
| open_subset(sK8,sK6)
| ~ top_str(sK6)
| ~ topological_space(sK6)
| ~ spl51_2 ),
inference(resolution,[],[f2814,f604]) ).
fof(f2830,plain,
( ~ empty(sK8)
| closed_subset(sK8,sK6)
| ~ spl51_2 ),
inference(subsumption_resolution,[],[f2829,f433]) ).
fof(f2829,plain,
( ~ empty(sK8)
| closed_subset(sK8,sK6)
| ~ topological_space(sK6)
| ~ spl51_2 ),
inference(subsumption_resolution,[],[f2817,f434]) ).
fof(f2817,plain,
( ~ empty(sK8)
| closed_subset(sK8,sK6)
| ~ top_str(sK6)
| ~ topological_space(sK6)
| ~ spl51_2 ),
inference(resolution,[],[f2814,f605]) ).
fof(f2828,plain,
( ~ nowhere_dense(sK8,sK6)
| ~ open_subset(sK8,sK6)
| sP4(sK6,sK8)
| ~ spl51_2 ),
inference(subsumption_resolution,[],[f2827,f433]) ).
fof(f2827,plain,
( ~ nowhere_dense(sK8,sK6)
| ~ open_subset(sK8,sK6)
| sP4(sK6,sK8)
| ~ topological_space(sK6)
| ~ spl51_2 ),
inference(subsumption_resolution,[],[f2816,f434]) ).
fof(f2816,plain,
( ~ nowhere_dense(sK8,sK6)
| ~ open_subset(sK8,sK6)
| sP4(sK6,sK8)
| ~ top_str(sK6)
| ~ topological_space(sK6)
| ~ spl51_2 ),
inference(resolution,[],[f2814,f612]) ).
fof(f2814,plain,
( element(sK8,powerset(the_carrier(sK6)))
| ~ spl51_2 ),
inference(subsumption_resolution,[],[f2813,f432]) ).
fof(f2813,plain,
( element(sK8,powerset(the_carrier(sK6)))
| empty_carrier(sK6)
| ~ spl51_2 ),
inference(subsumption_resolution,[],[f2812,f433]) ).
fof(f2812,plain,
( element(sK8,powerset(the_carrier(sK6)))
| ~ topological_space(sK6)
| empty_carrier(sK6)
| ~ spl51_2 ),
inference(subsumption_resolution,[],[f2811,f434]) ).
fof(f2811,plain,
( element(sK8,powerset(the_carrier(sK6)))
| ~ top_str(sK6)
| ~ topological_space(sK6)
| empty_carrier(sK6)
| ~ spl51_2 ),
inference(subsumption_resolution,[],[f2808,f435]) ).
fof(f2808,plain,
( element(sK8,powerset(the_carrier(sK6)))
| ~ element(sK7,the_carrier(sK6))
| ~ top_str(sK6)
| ~ topological_space(sK6)
| empty_carrier(sK6)
| ~ spl51_2 ),
inference(resolution,[],[f649,f807]) ).
fof(f2810,plain,
! [X0,X1] :
( element(sK31(X0,X1),powerset(the_carrier(X0)))
| ~ element(X1,the_carrier(X0))
| ~ top_str(X0)
| ~ topological_space(X0)
| empty_carrier(X0) ),
inference(duplicate_literal_removal,[],[f2809]) ).
fof(f2809,plain,
! [X0,X1] :
( element(sK31(X0,X1),powerset(the_carrier(X0)))
| ~ element(X1,the_carrier(X0))
| ~ top_str(X0)
| ~ topological_space(X0)
| empty_carrier(X0)
| ~ element(X1,the_carrier(X0))
| ~ top_str(X0)
| ~ topological_space(X0)
| empty_carrier(X0) ),
inference(resolution,[],[f649,f650]) ).
fof(f649,plain,
! [X2,X0,X1] :
( ~ point_neighbourhood(X2,X0,X1)
| element(X2,powerset(the_carrier(X0)))
| ~ element(X1,the_carrier(X0))
| ~ top_str(X0)
| ~ topological_space(X0)
| empty_carrier(X0) ),
inference(cnf_transformation,[],[f306]) ).
fof(f306,plain,
! [X0,X1] :
( ! [X2] :
( element(X2,powerset(the_carrier(X0)))
| ~ point_neighbourhood(X2,X0,X1) )
| ~ element(X1,the_carrier(X0))
| ~ top_str(X0)
| ~ topological_space(X0)
| empty_carrier(X0) ),
inference(flattening,[],[f305]) ).
fof(f305,plain,
! [X0,X1] :
( ! [X2] :
( element(X2,powerset(the_carrier(X0)))
| ~ point_neighbourhood(X2,X0,X1) )
| ~ element(X1,the_carrier(X0))
| ~ top_str(X0)
| ~ topological_space(X0)
| empty_carrier(X0) ),
inference(ennf_transformation,[],[f38]) ).
fof(f38,axiom,
! [X0,X1] :
( ( element(X1,the_carrier(X0))
& top_str(X0)
& topological_space(X0)
& ~ empty_carrier(X0) )
=> ! [X2] :
( point_neighbourhood(X2,X0,X1)
=> element(X2,powerset(the_carrier(X0))) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_m1_connsp_2) ).
fof(f2804,plain,
! [X0] :
( ~ empty(X0)
| empty_set = sK28(sK10(powerset(sK28(sK9(sK11(powerset(X0))))))) ),
inference(resolution,[],[f2768,f1475]) ).
fof(f2803,plain,
! [X0] :
( ~ empty(X0)
| empty_set = sK28(sK9(sK30(sK28(sK9(sK11(powerset(X0))))))) ),
inference(resolution,[],[f2768,f1331]) ).
fof(f2802,plain,
! [X0] :
( ~ empty(X0)
| empty_set = sK28(sK9(powerset(sK28(sK9(sK11(powerset(X0))))))) ),
inference(resolution,[],[f2768,f1287]) ).
fof(f2801,plain,
! [X0] :
( ~ empty(X0)
| empty_set = sK28(sK30(sK28(sK9(sK11(powerset(X0)))))) ),
inference(resolution,[],[f2768,f1209]) ).
fof(f2800,plain,
! [X0] :
( ~ empty(X0)
| empty_set = sK28(powerset(sK28(powerset(sK28(sK9(sK11(powerset(X0)))))))) ),
inference(resolution,[],[f2768,f1024]) ).
fof(f2799,plain,
! [X0] :
( ~ empty(X0)
| empty_set = sK28(powerset(sK28(sK9(sK11(powerset(X0)))))) ),
inference(resolution,[],[f2768,f1020]) ).
fof(f2798,plain,
! [X0,X1] :
( ~ empty(X0)
| sK28(powerset(X1)) = sK28(sK9(sK11(powerset(X0))))
| ~ empty(X1) ),
inference(resolution,[],[f2768,f1019]) ).
fof(f2797,plain,
! [X0,X1] :
( ~ empty(X0)
| sK28(sK9(sK11(powerset(X0)))) = X1
| ~ empty(X1) ),
inference(resolution,[],[f2768,f655]) ).
fof(f2796,plain,
! [X0] :
( ~ empty(X0)
| empty_set = sK28(sK9(sK11(powerset(X0)))) ),
inference(resolution,[],[f2768,f574]) ).
fof(f2768,plain,
! [X0] :
( empty(sK28(sK9(sK11(powerset(X0)))))
| ~ empty(X0) ),
inference(resolution,[],[f1876,f874]) ).
fof(f2795,plain,
! [X0,X1] :
( ~ element(X0,the_carrier(X1))
| ~ top_str(X1)
| ~ topological_space(X1)
| empty_carrier(X1)
| in(neighborhood_system(X1,X0),powerset(the_carrier(boole_POSet(cast_as_carrier_subset(X1))))) ),
inference(subsumption_resolution,[],[f2794,f440]) ).
fof(f2794,plain,
! [X0,X1] :
( ~ element(X0,the_carrier(X1))
| ~ top_str(X1)
| ~ topological_space(X1)
| empty_carrier(X1)
| empty(powerset(the_carrier(boole_POSet(cast_as_carrier_subset(X1)))))
| in(neighborhood_system(X1,X0),powerset(the_carrier(boole_POSet(cast_as_carrier_subset(X1))))) ),
inference(resolution,[],[f648,f642]) ).
fof(f2793,plain,
! [X0,X1] :
( ~ element(X0,the_carrier(X1))
| ~ top_str(X1)
| ~ topological_space(X1)
| empty_carrier(X1)
| finite(neighborhood_system(X1,X0))
| ~ finite(the_carrier(boole_POSet(cast_as_carrier_subset(X1)))) ),
inference(resolution,[],[f648,f517]) ).
fof(f2792,plain,
! [X2,X0,X1] :
( ~ element(X0,the_carrier(X1))
| ~ top_str(X1)
| ~ topological_space(X1)
| empty_carrier(X1)
| ~ empty(the_carrier(boole_POSet(cast_as_carrier_subset(X1))))
| ~ in(X2,neighborhood_system(X1,X0)) ),
inference(resolution,[],[f648,f666]) ).
fof(f2791,plain,
! [X2,X0,X1] :
( ~ element(X0,the_carrier(X1))
| ~ top_str(X1)
| ~ topological_space(X1)
| empty_carrier(X1)
| element(X2,the_carrier(boole_POSet(cast_as_carrier_subset(X1))))
| ~ in(X2,neighborhood_system(X1,X0)) ),
inference(resolution,[],[f648,f663]) ).
fof(f2790,plain,
! [X0,X1] :
( ~ element(X0,the_carrier(X1))
| ~ top_str(X1)
| ~ topological_space(X1)
| empty_carrier(X1)
| ~ empty(neighborhood_system(X1,X0))
| boundary_set(neighborhood_system(X1,X0),boole_POSet(cast_as_carrier_subset(X1)))
| ~ top_str(boole_POSet(cast_as_carrier_subset(X1))) ),
inference(resolution,[],[f648,f509]) ).
fof(f2789,plain,
! [X0,X1] :
( ~ element(X0,the_carrier(X1))
| ~ top_str(X1)
| ~ topological_space(X1)
| empty_carrier(X1)
| ~ empty(neighborhood_system(X1,X0))
| nowhere_dense(neighborhood_system(X1,X0),boole_POSet(cast_as_carrier_subset(X1)))
| ~ top_str(boole_POSet(cast_as_carrier_subset(X1)))
| ~ topological_space(boole_POSet(cast_as_carrier_subset(X1))) ),
inference(resolution,[],[f648,f603]) ).
fof(f2788,plain,
! [X0,X1] :
( ~ element(X0,the_carrier(X1))
| ~ top_str(X1)
| ~ topological_space(X1)
| empty_carrier(X1)
| ~ empty(neighborhood_system(X1,X0))
| open_subset(neighborhood_system(X1,X0),boole_POSet(cast_as_carrier_subset(X1)))
| ~ top_str(boole_POSet(cast_as_carrier_subset(X1)))
| ~ topological_space(boole_POSet(cast_as_carrier_subset(X1))) ),
inference(resolution,[],[f648,f604]) ).
fof(f2787,plain,
! [X0,X1] :
( ~ element(X0,the_carrier(X1))
| ~ top_str(X1)
| ~ topological_space(X1)
| empty_carrier(X1)
| ~ empty(neighborhood_system(X1,X0))
| closed_subset(neighborhood_system(X1,X0),boole_POSet(cast_as_carrier_subset(X1)))
| ~ top_str(boole_POSet(cast_as_carrier_subset(X1)))
| ~ topological_space(boole_POSet(cast_as_carrier_subset(X1))) ),
inference(resolution,[],[f648,f605]) ).
fof(f2786,plain,
! [X0,X1] :
( ~ element(X0,the_carrier(X1))
| ~ top_str(X1)
| ~ topological_space(X1)
| empty_carrier(X1)
| ~ nowhere_dense(neighborhood_system(X1,X0),boole_POSet(cast_as_carrier_subset(X1)))
| ~ open_subset(neighborhood_system(X1,X0),boole_POSet(cast_as_carrier_subset(X1)))
| sP4(boole_POSet(cast_as_carrier_subset(X1)),neighborhood_system(X1,X0))
| ~ top_str(boole_POSet(cast_as_carrier_subset(X1)))
| ~ topological_space(boole_POSet(cast_as_carrier_subset(X1))) ),
inference(resolution,[],[f648,f612]) ).
fof(f2785,plain,
! [X0,X1] :
( ~ element(X0,the_carrier(X1))
| ~ top_str(X1)
| ~ topological_space(X1)
| empty_carrier(X1)
| ~ boundary_set(neighborhood_system(X1,X0),boole_POSet(cast_as_carrier_subset(X1)))
| ~ closed_subset(neighborhood_system(X1,X0),boole_POSet(cast_as_carrier_subset(X1)))
| nowhere_dense(neighborhood_system(X1,X0),boole_POSet(cast_as_carrier_subset(X1)))
| ~ top_str(boole_POSet(cast_as_carrier_subset(X1)))
| ~ topological_space(boole_POSet(cast_as_carrier_subset(X1))) ),
inference(resolution,[],[f648,f614]) ).
fof(f648,plain,
! [X0,X1] :
( element(neighborhood_system(X0,X1),powerset(the_carrier(boole_POSet(cast_as_carrier_subset(X0)))))
| ~ element(X1,the_carrier(X0))
| ~ top_str(X0)
| ~ topological_space(X0)
| empty_carrier(X0) ),
inference(cnf_transformation,[],[f304]) ).
fof(f304,plain,
! [X0,X1] :
( element(neighborhood_system(X0,X1),powerset(the_carrier(boole_POSet(cast_as_carrier_subset(X0)))))
| ~ element(X1,the_carrier(X0))
| ~ top_str(X0)
| ~ topological_space(X0)
| empty_carrier(X0) ),
inference(flattening,[],[f303]) ).
fof(f303,plain,
! [X0,X1] :
( element(neighborhood_system(X0,X1),powerset(the_carrier(boole_POSet(cast_as_carrier_subset(X0)))))
| ~ element(X1,the_carrier(X0))
| ~ top_str(X0)
| ~ topological_space(X0)
| empty_carrier(X0) ),
inference(ennf_transformation,[],[f30]) ).
fof(f30,axiom,
! [X0,X1] :
( ( element(X1,the_carrier(X0))
& top_str(X0)
& topological_space(X0)
& ~ empty_carrier(X0) )
=> element(neighborhood_system(X0,X1),powerset(the_carrier(boole_POSet(cast_as_carrier_subset(X0))))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k1_yellow19) ).
fof(f2782,plain,
! [X0,X1] :
( ~ empty(X0)
| in(sK32(sK28(sK9(sK11(powerset(X0)))),X1),X1)
| sK28(sK9(sK11(powerset(X0)))) = X1 ),
inference(resolution,[],[f1876,f652]) ).
fof(f2781,plain,
! [X0,X1] :
( ~ empty(X0)
| in(sK32(X1,sK28(sK9(sK11(powerset(X0))))),X1)
| sK28(sK9(sK11(powerset(X0)))) = X1 ),
inference(resolution,[],[f1876,f652]) ).
fof(f2780,plain,
! [X0] :
( ~ empty(X0)
| empty(sK28(sK9(sK11(powerset(X0))))) ),
inference(resolution,[],[f1876,f1971]) ).
fof(f2779,plain,
! [X0] :
( ~ empty(X0)
| empty(sK28(sK9(sK11(powerset(X0))))) ),
inference(resolution,[],[f1876,f1959]) ).
fof(f2778,plain,
! [X0] :
( ~ empty(X0)
| empty(sK28(sK9(sK11(powerset(X0))))) ),
inference(resolution,[],[f1876,f1947]) ).
fof(f2777,plain,
! [X0] :
( ~ empty(X0)
| empty(sK28(sK9(sK11(powerset(X0))))) ),
inference(resolution,[],[f1876,f1803]) ).
fof(f2776,plain,
! [X0] :
( ~ empty(X0)
| empty(sK28(sK9(sK11(powerset(X0))))) ),
inference(resolution,[],[f1876,f1935]) ).
fof(f2775,plain,
! [X0] :
( ~ empty(X0)
| empty(sK28(sK9(sK11(powerset(X0))))) ),
inference(resolution,[],[f1876,f1508]) ).
fof(f2774,plain,
! [X0] :
( ~ empty(X0)
| empty(sK28(sK9(sK11(powerset(X0))))) ),
inference(resolution,[],[f1876,f1498]) ).
fof(f2773,plain,
! [X0] :
( ~ empty(X0)
| empty(sK28(sK9(sK11(powerset(X0))))) ),
inference(resolution,[],[f1876,f1430]) ).
fof(f2772,plain,
! [X0] :
( ~ empty(X0)
| empty(sK28(sK9(sK11(powerset(X0))))) ),
inference(resolution,[],[f1876,f1874]) ).
fof(f2771,plain,
! [X0] :
( ~ empty(X0)
| empty(sK28(sK9(sK11(powerset(X0))))) ),
inference(resolution,[],[f1876,f1488]) ).
fof(f2770,plain,
! [X0] :
( ~ empty(X0)
| empty(sK28(sK9(sK11(powerset(X0))))) ),
inference(resolution,[],[f1876,f1319]) ).
fof(f2769,plain,
! [X0] :
( ~ empty(X0)
| empty(sK28(sK9(sK11(powerset(X0))))) ),
inference(resolution,[],[f1876,f1251]) ).
fof(f1876,plain,
! [X0,X1] :
( ~ in(X1,sK28(sK9(sK11(powerset(X0)))))
| ~ empty(X0) ),
inference(subsumption_resolution,[],[f1870,f440]) ).
fof(f1870,plain,
! [X0,X1] :
( empty(powerset(X0))
| ~ empty(X0)
| ~ in(X1,sK28(sK9(sK11(powerset(X0))))) ),
inference(resolution,[],[f1792,f666]) ).
fof(f2767,plain,
! [X0] :
( ~ rel_str(X0)
| ~ with_infima_relstr(X0)
| ~ with_suprema_relstr(X0)
| ~ antisymmetric_relstr(X0)
| ~ transitive_relstr(X0)
| ~ reflexive_relstr(X0)
| in(sK27(X0),powerset(the_carrier(X0))) ),
inference(subsumption_resolution,[],[f2766,f440]) ).
fof(f2766,plain,
! [X0] :
( ~ rel_str(X0)
| ~ with_infima_relstr(X0)
| ~ with_suprema_relstr(X0)
| ~ antisymmetric_relstr(X0)
| ~ transitive_relstr(X0)
| ~ reflexive_relstr(X0)
| empty(powerset(the_carrier(X0)))
| in(sK27(X0),powerset(the_carrier(X0))) ),
inference(resolution,[],[f631,f642]) ).
fof(f2765,plain,
! [X0] :
( ~ rel_str(X0)
| ~ with_infima_relstr(X0)
| ~ with_suprema_relstr(X0)
| ~ antisymmetric_relstr(X0)
| ~ transitive_relstr(X0)
| ~ reflexive_relstr(X0)
| finite(sK27(X0))
| ~ finite(the_carrier(X0)) ),
inference(resolution,[],[f631,f517]) ).
fof(f2763,plain,
! [X0,X1] :
( ~ rel_str(X0)
| ~ with_infima_relstr(X0)
| ~ with_suprema_relstr(X0)
| ~ antisymmetric_relstr(X0)
| ~ transitive_relstr(X0)
| ~ reflexive_relstr(X0)
| element(X1,the_carrier(X0))
| ~ in(X1,sK27(X0)) ),
inference(resolution,[],[f631,f663]) ).
fof(f2758,plain,
! [X0] :
( ~ rel_str(X0)
| ~ with_infima_relstr(X0)
| ~ with_suprema_relstr(X0)
| ~ antisymmetric_relstr(X0)
| ~ transitive_relstr(X0)
| ~ reflexive_relstr(X0)
| ~ nowhere_dense(sK27(X0),X0)
| ~ open_subset(sK27(X0),X0)
| sP4(X0,sK27(X0))
| ~ top_str(X0)
| ~ topological_space(X0) ),
inference(resolution,[],[f631,f612]) ).
fof(f2757,plain,
! [X0] :
( ~ rel_str(X0)
| ~ with_infima_relstr(X0)
| ~ with_suprema_relstr(X0)
| ~ antisymmetric_relstr(X0)
| ~ transitive_relstr(X0)
| ~ reflexive_relstr(X0)
| ~ boundary_set(sK27(X0),X0)
| ~ closed_subset(sK27(X0),X0)
| nowhere_dense(sK27(X0),X0)
| ~ top_str(X0)
| ~ topological_space(X0) ),
inference(resolution,[],[f631,f614]) ).
fof(f631,plain,
! [X0] :
( element(sK27(X0),powerset(the_carrier(X0)))
| ~ rel_str(X0)
| ~ with_infima_relstr(X0)
| ~ with_suprema_relstr(X0)
| ~ antisymmetric_relstr(X0)
| ~ transitive_relstr(X0)
| ~ reflexive_relstr(X0) ),
inference(cnf_transformation,[],[f381]) ).
fof(f381,plain,
! [X0] :
( ( ~ empty(sK27(X0))
& element(sK27(X0),powerset(the_carrier(X0))) )
| ~ rel_str(X0)
| ~ with_infima_relstr(X0)
| ~ with_suprema_relstr(X0)
| ~ antisymmetric_relstr(X0)
| ~ transitive_relstr(X0)
| ~ reflexive_relstr(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK27])],[f294,f380]) ).
fof(f380,plain,
! [X0] :
( ? [X1] :
( ~ empty(X1)
& element(X1,powerset(the_carrier(X0))) )
=> ( ~ empty(sK27(X0))
& element(sK27(X0),powerset(the_carrier(X0))) ) ),
introduced(choice_axiom,[]) ).
fof(f294,plain,
! [X0] :
( ? [X1] :
( ~ empty(X1)
& element(X1,powerset(the_carrier(X0))) )
| ~ rel_str(X0)
| ~ with_infima_relstr(X0)
| ~ with_suprema_relstr(X0)
| ~ antisymmetric_relstr(X0)
| ~ transitive_relstr(X0)
| ~ reflexive_relstr(X0) ),
inference(flattening,[],[f293]) ).
fof(f293,plain,
! [X0] :
( ? [X1] :
( ~ empty(X1)
& element(X1,powerset(the_carrier(X0))) )
| ~ rel_str(X0)
| ~ with_infima_relstr(X0)
| ~ with_suprema_relstr(X0)
| ~ antisymmetric_relstr(X0)
| ~ transitive_relstr(X0)
| ~ reflexive_relstr(X0) ),
inference(ennf_transformation,[],[f163]) ).
fof(f163,plain,
! [X0] :
( ( rel_str(X0)
& with_infima_relstr(X0)
& with_suprema_relstr(X0)
& antisymmetric_relstr(X0)
& transitive_relstr(X0)
& reflexive_relstr(X0) )
=> ? [X1] :
( ~ empty(X1)
& element(X1,powerset(the_carrier(X0))) ) ),
inference(pure_predicate_removal,[],[f154]) ).
fof(f154,plain,
! [X0] :
( ( rel_str(X0)
& with_infima_relstr(X0)
& with_suprema_relstr(X0)
& antisymmetric_relstr(X0)
& transitive_relstr(X0)
& reflexive_relstr(X0) )
=> ? [X1] :
( lower_relstr_subset(X1,X0)
& ~ empty(X1)
& element(X1,powerset(the_carrier(X0))) ) ),
inference(pure_predicate_removal,[],[f135]) ).
fof(f135,plain,
! [X0] :
( ( rel_str(X0)
& with_infima_relstr(X0)
& with_suprema_relstr(X0)
& antisymmetric_relstr(X0)
& transitive_relstr(X0)
& reflexive_relstr(X0) )
=> ? [X1] :
( upper_relstr_subset(X1,X0)
& lower_relstr_subset(X1,X0)
& ~ empty(X1)
& element(X1,powerset(the_carrier(X0))) ) ),
inference(pure_predicate_removal,[],[f131]) ).
fof(f131,plain,
! [X0] :
( ( rel_str(X0)
& with_infima_relstr(X0)
& with_suprema_relstr(X0)
& antisymmetric_relstr(X0)
& transitive_relstr(X0)
& reflexive_relstr(X0) )
=> ? [X1] :
( upper_relstr_subset(X1,X0)
& lower_relstr_subset(X1,X0)
& directed_subset(X1,X0)
& ~ empty(X1)
& element(X1,powerset(the_carrier(X0))) ) ),
inference(pure_predicate_removal,[],[f75]) ).
fof(f75,axiom,
! [X0] :
( ( rel_str(X0)
& with_infima_relstr(X0)
& with_suprema_relstr(X0)
& antisymmetric_relstr(X0)
& transitive_relstr(X0)
& reflexive_relstr(X0) )
=> ? [X1] :
( upper_relstr_subset(X1,X0)
& lower_relstr_subset(X1,X0)
& filtered_subset(X1,X0)
& directed_subset(X1,X0)
& ~ empty(X1)
& element(X1,powerset(the_carrier(X0))) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc11_waybel_0) ).
fof(f2753,plain,
! [X0] :
( ~ empty(X0)
| empty_set = sK28(sK10(powerset(sK28(sK10(sK10(powerset(X0))))))) ),
inference(resolution,[],[f2728,f1475]) ).
fof(f2752,plain,
! [X0] :
( ~ empty(X0)
| empty_set = sK28(sK9(sK30(sK28(sK10(sK10(powerset(X0))))))) ),
inference(resolution,[],[f2728,f1331]) ).
fof(f2751,plain,
! [X0] :
( ~ empty(X0)
| empty_set = sK28(sK9(powerset(sK28(sK10(sK10(powerset(X0))))))) ),
inference(resolution,[],[f2728,f1287]) ).
fof(f2750,plain,
! [X0] :
( ~ empty(X0)
| empty_set = sK28(sK30(sK28(sK10(sK10(powerset(X0)))))) ),
inference(resolution,[],[f2728,f1209]) ).
fof(f2749,plain,
! [X0] :
( ~ empty(X0)
| empty_set = sK28(powerset(sK28(powerset(sK28(sK10(sK10(powerset(X0)))))))) ),
inference(resolution,[],[f2728,f1024]) ).
fof(f2748,plain,
! [X0] :
( ~ empty(X0)
| empty_set = sK28(powerset(sK28(sK10(sK10(powerset(X0)))))) ),
inference(resolution,[],[f2728,f1020]) ).
fof(f2747,plain,
! [X0,X1] :
( ~ empty(X0)
| sK28(powerset(X1)) = sK28(sK10(sK10(powerset(X0))))
| ~ empty(X1) ),
inference(resolution,[],[f2728,f1019]) ).
fof(f2746,plain,
! [X0,X1] :
( ~ empty(X0)
| sK28(sK10(sK10(powerset(X0)))) = X1
| ~ empty(X1) ),
inference(resolution,[],[f2728,f655]) ).
fof(f2745,plain,
! [X0] :
( ~ empty(X0)
| empty_set = sK28(sK10(sK10(powerset(X0)))) ),
inference(resolution,[],[f2728,f574]) ).
fof(f2728,plain,
! [X0] :
( empty(sK28(sK10(sK10(powerset(X0)))))
| ~ empty(X0) ),
inference(resolution,[],[f1510,f874]) ).
fof(f2742,plain,
! [X0,X1] :
( ~ empty(X0)
| in(sK32(sK28(sK10(sK10(powerset(X0)))),X1),X1)
| sK28(sK10(sK10(powerset(X0)))) = X1 ),
inference(resolution,[],[f1510,f652]) ).
fof(f2741,plain,
! [X0,X1] :
( ~ empty(X0)
| in(sK32(X1,sK28(sK10(sK10(powerset(X0))))),X1)
| sK28(sK10(sK10(powerset(X0)))) = X1 ),
inference(resolution,[],[f1510,f652]) ).
fof(f2740,plain,
! [X0] :
( ~ empty(X0)
| empty(sK28(sK10(sK10(powerset(X0))))) ),
inference(resolution,[],[f1510,f1971]) ).
fof(f2739,plain,
! [X0] :
( ~ empty(X0)
| empty(sK28(sK10(sK10(powerset(X0))))) ),
inference(resolution,[],[f1510,f1959]) ).
fof(f2738,plain,
! [X0] :
( ~ empty(X0)
| empty(sK28(sK10(sK10(powerset(X0))))) ),
inference(resolution,[],[f1510,f1947]) ).
fof(f2737,plain,
! [X0] :
( ~ empty(X0)
| empty(sK28(sK10(sK10(powerset(X0))))) ),
inference(resolution,[],[f1510,f1803]) ).
fof(f2736,plain,
! [X0] :
( ~ empty(X0)
| empty(sK28(sK10(sK10(powerset(X0))))) ),
inference(resolution,[],[f1510,f1935]) ).
fof(f2735,plain,
! [X0] :
( ~ empty(X0)
| empty(sK28(sK10(sK10(powerset(X0))))) ),
inference(resolution,[],[f1510,f1508]) ).
fof(f2734,plain,
! [X0] :
( ~ empty(X0)
| empty(sK28(sK10(sK10(powerset(X0))))) ),
inference(resolution,[],[f1510,f1498]) ).
fof(f2733,plain,
! [X0] :
( ~ empty(X0)
| empty(sK28(sK10(sK10(powerset(X0))))) ),
inference(resolution,[],[f1510,f1430]) ).
fof(f2732,plain,
! [X0] :
( ~ empty(X0)
| empty(sK28(sK10(sK10(powerset(X0))))) ),
inference(resolution,[],[f1510,f1874]) ).
fof(f2731,plain,
! [X0] :
( ~ empty(X0)
| empty(sK28(sK10(sK10(powerset(X0))))) ),
inference(resolution,[],[f1510,f1488]) ).
fof(f2730,plain,
! [X0] :
( ~ empty(X0)
| empty(sK28(sK10(sK10(powerset(X0))))) ),
inference(resolution,[],[f1510,f1319]) ).
fof(f2729,plain,
! [X0] :
( ~ empty(X0)
| empty(sK28(sK10(sK10(powerset(X0))))) ),
inference(resolution,[],[f1510,f1251]) ).
fof(f1510,plain,
! [X0,X1] :
( ~ in(X1,sK28(sK10(sK10(powerset(X0)))))
| ~ empty(X0) ),
inference(subsumption_resolution,[],[f1504,f440]) ).
fof(f1504,plain,
! [X0,X1] :
( empty(powerset(X0))
| ~ empty(X0)
| ~ in(X1,sK28(sK10(sK10(powerset(X0))))) ),
inference(resolution,[],[f1457,f666]) ).
fof(f2727,plain,
! [X0] :
( ~ boundary_set(sK28(sK11(sK11(powerset(the_carrier(X0))))),X0)
| ~ closed_subset(sK28(sK11(sK11(powerset(the_carrier(X0))))),X0)
| nowhere_dense(sK28(sK11(sK11(powerset(the_carrier(X0))))),X0)
| ~ top_str(X0)
| ~ topological_space(X0) ),
inference(subsumption_resolution,[],[f2702,f440]) ).
fof(f2702,plain,
! [X0] :
( ~ boundary_set(sK28(sK11(sK11(powerset(the_carrier(X0))))),X0)
| ~ closed_subset(sK28(sK11(sK11(powerset(the_carrier(X0))))),X0)
| nowhere_dense(sK28(sK11(sK11(powerset(the_carrier(X0))))),X0)
| ~ top_str(X0)
| ~ topological_space(X0)
| empty(powerset(the_carrier(X0))) ),
inference(resolution,[],[f614,f1834]) ).
fof(f2726,plain,
! [X0] :
( ~ boundary_set(sK28(sK11(sK10(powerset(the_carrier(X0))))),X0)
| ~ closed_subset(sK28(sK11(sK10(powerset(the_carrier(X0))))),X0)
| nowhere_dense(sK28(sK11(sK10(powerset(the_carrier(X0))))),X0)
| ~ top_str(X0)
| ~ topological_space(X0) ),
inference(subsumption_resolution,[],[f2701,f440]) ).
fof(f2701,plain,
! [X0] :
( ~ boundary_set(sK28(sK11(sK10(powerset(the_carrier(X0))))),X0)
| ~ closed_subset(sK28(sK11(sK10(powerset(the_carrier(X0))))),X0)
| nowhere_dense(sK28(sK11(sK10(powerset(the_carrier(X0))))),X0)
| ~ top_str(X0)
| ~ topological_space(X0)
| empty(powerset(the_carrier(X0))) ),
inference(resolution,[],[f614,f1833]) ).
fof(f2725,plain,
! [X0] :
( ~ boundary_set(sK28(sK11(sK9(powerset(the_carrier(X0))))),X0)
| ~ closed_subset(sK28(sK11(sK9(powerset(the_carrier(X0))))),X0)
| nowhere_dense(sK28(sK11(sK9(powerset(the_carrier(X0))))),X0)
| ~ top_str(X0)
| ~ topological_space(X0) ),
inference(subsumption_resolution,[],[f2700,f440]) ).
fof(f2700,plain,
! [X0] :
( ~ boundary_set(sK28(sK11(sK9(powerset(the_carrier(X0))))),X0)
| ~ closed_subset(sK28(sK11(sK9(powerset(the_carrier(X0))))),X0)
| nowhere_dense(sK28(sK11(sK9(powerset(the_carrier(X0))))),X0)
| ~ top_str(X0)
| ~ topological_space(X0)
| empty(powerset(the_carrier(X0))) ),
inference(resolution,[],[f614,f1832]) ).
fof(f2724,plain,
! [X0] :
( ~ boundary_set(sK28(sK11(powerset(the_carrier(X0)))),X0)
| ~ closed_subset(sK28(sK11(powerset(the_carrier(X0)))),X0)
| nowhere_dense(sK28(sK11(powerset(the_carrier(X0)))),X0)
| ~ top_str(X0)
| ~ topological_space(X0) ),
inference(subsumption_resolution,[],[f2699,f440]) ).
fof(f2699,plain,
! [X0] :
( ~ boundary_set(sK28(sK11(powerset(the_carrier(X0)))),X0)
| ~ closed_subset(sK28(sK11(powerset(the_carrier(X0)))),X0)
| nowhere_dense(sK28(sK11(powerset(the_carrier(X0)))),X0)
| ~ top_str(X0)
| ~ topological_space(X0)
| empty(powerset(the_carrier(X0))) ),
inference(resolution,[],[f614,f1791]) ).
fof(f2723,plain,
! [X0] :
( ~ boundary_set(sK28(sK10(sK11(powerset(the_carrier(X0))))),X0)
| ~ closed_subset(sK28(sK10(sK11(powerset(the_carrier(X0))))),X0)
| nowhere_dense(sK28(sK10(sK11(powerset(the_carrier(X0))))),X0)
| ~ top_str(X0)
| ~ topological_space(X0) ),
inference(subsumption_resolution,[],[f2698,f440]) ).
fof(f2698,plain,
! [X0] :
( ~ boundary_set(sK28(sK10(sK11(powerset(the_carrier(X0))))),X0)
| ~ closed_subset(sK28(sK10(sK11(powerset(the_carrier(X0))))),X0)
| nowhere_dense(sK28(sK10(sK11(powerset(the_carrier(X0))))),X0)
| ~ top_str(X0)
| ~ topological_space(X0)
| empty(powerset(the_carrier(X0))) ),
inference(resolution,[],[f614,f1795]) ).
fof(f2722,plain,
! [X0] :
( ~ boundary_set(sK28(sK10(sK10(powerset(the_carrier(X0))))),X0)
| ~ closed_subset(sK28(sK10(sK10(powerset(the_carrier(X0))))),X0)
| nowhere_dense(sK28(sK10(sK10(powerset(the_carrier(X0))))),X0)
| ~ top_str(X0)
| ~ topological_space(X0) ),
inference(subsumption_resolution,[],[f2697,f440]) ).
fof(f2697,plain,
! [X0] :
( ~ boundary_set(sK28(sK10(sK10(powerset(the_carrier(X0))))),X0)
| ~ closed_subset(sK28(sK10(sK10(powerset(the_carrier(X0))))),X0)
| nowhere_dense(sK28(sK10(sK10(powerset(the_carrier(X0))))),X0)
| ~ top_str(X0)
| ~ topological_space(X0)
| empty(powerset(the_carrier(X0))) ),
inference(resolution,[],[f614,f1457]) ).
fof(f2721,plain,
! [X0] :
( ~ boundary_set(sK28(sK10(sK9(powerset(the_carrier(X0))))),X0)
| ~ closed_subset(sK28(sK10(sK9(powerset(the_carrier(X0))))),X0)
| nowhere_dense(sK28(sK10(sK9(powerset(the_carrier(X0))))),X0)
| ~ top_str(X0)
| ~ topological_space(X0) ),
inference(subsumption_resolution,[],[f2696,f440]) ).
fof(f2696,plain,
! [X0] :
( ~ boundary_set(sK28(sK10(sK9(powerset(the_carrier(X0))))),X0)
| ~ closed_subset(sK28(sK10(sK9(powerset(the_carrier(X0))))),X0)
| nowhere_dense(sK28(sK10(sK9(powerset(the_carrier(X0))))),X0)
| ~ top_str(X0)
| ~ topological_space(X0)
| empty(powerset(the_carrier(X0))) ),
inference(resolution,[],[f614,f1456]) ).
fof(f2720,plain,
! [X0] :
( ~ boundary_set(sK28(sK10(powerset(the_carrier(X0)))),X0)
| ~ closed_subset(sK28(sK10(powerset(the_carrier(X0)))),X0)
| nowhere_dense(sK28(sK10(powerset(the_carrier(X0)))),X0)
| ~ top_str(X0)
| ~ topological_space(X0) ),
inference(subsumption_resolution,[],[f2695,f440]) ).
fof(f2695,plain,
! [X0] :
( ~ boundary_set(sK28(sK10(powerset(the_carrier(X0)))),X0)
| ~ closed_subset(sK28(sK10(powerset(the_carrier(X0)))),X0)
| nowhere_dense(sK28(sK10(powerset(the_carrier(X0)))),X0)
| ~ top_str(X0)
| ~ topological_space(X0)
| empty(powerset(the_carrier(X0))) ),
inference(resolution,[],[f614,f1422]) ).
fof(f2719,plain,
! [X0] :
( ~ boundary_set(sK28(sK9(sK11(powerset(the_carrier(X0))))),X0)
| ~ closed_subset(sK28(sK9(sK11(powerset(the_carrier(X0))))),X0)
| nowhere_dense(sK28(sK9(sK11(powerset(the_carrier(X0))))),X0)
| ~ top_str(X0)
| ~ topological_space(X0) ),
inference(subsumption_resolution,[],[f2694,f440]) ).
fof(f2694,plain,
! [X0] :
( ~ boundary_set(sK28(sK9(sK11(powerset(the_carrier(X0))))),X0)
| ~ closed_subset(sK28(sK9(sK11(powerset(the_carrier(X0))))),X0)
| nowhere_dense(sK28(sK9(sK11(powerset(the_carrier(X0))))),X0)
| ~ top_str(X0)
| ~ topological_space(X0)
| empty(powerset(the_carrier(X0))) ),
inference(resolution,[],[f614,f1792]) ).
fof(f2718,plain,
! [X0] :
( ~ boundary_set(sK28(sK9(sK10(powerset(the_carrier(X0))))),X0)
| ~ closed_subset(sK28(sK9(sK10(powerset(the_carrier(X0))))),X0)
| nowhere_dense(sK28(sK9(sK10(powerset(the_carrier(X0))))),X0)
| ~ top_str(X0)
| ~ topological_space(X0) ),
inference(subsumption_resolution,[],[f2693,f440]) ).
fof(f2693,plain,
! [X0] :
( ~ boundary_set(sK28(sK9(sK10(powerset(the_carrier(X0))))),X0)
| ~ closed_subset(sK28(sK9(sK10(powerset(the_carrier(X0))))),X0)
| nowhere_dense(sK28(sK9(sK10(powerset(the_carrier(X0))))),X0)
| ~ top_str(X0)
| ~ topological_space(X0)
| empty(powerset(the_carrier(X0))) ),
inference(resolution,[],[f614,f1423]) ).
fof(f2717,plain,
! [X0] :
( ~ boundary_set(sK28(sK9(sK9(powerset(the_carrier(X0))))),X0)
| ~ closed_subset(sK28(sK9(sK9(powerset(the_carrier(X0))))),X0)
| nowhere_dense(sK28(sK9(sK9(powerset(the_carrier(X0))))),X0)
| ~ top_str(X0)
| ~ topological_space(X0) ),
inference(subsumption_resolution,[],[f2692,f440]) ).
fof(f2692,plain,
! [X0] :
( ~ boundary_set(sK28(sK9(sK9(powerset(the_carrier(X0))))),X0)
| ~ closed_subset(sK28(sK9(sK9(powerset(the_carrier(X0))))),X0)
| nowhere_dense(sK28(sK9(sK9(powerset(the_carrier(X0))))),X0)
| ~ top_str(X0)
| ~ topological_space(X0)
| empty(powerset(the_carrier(X0))) ),
inference(resolution,[],[f614,f1273]) ).
fof(f2716,plain,
! [X0] :
( ~ boundary_set(sK28(sK9(powerset(the_carrier(X0)))),X0)
| ~ closed_subset(sK28(sK9(powerset(the_carrier(X0)))),X0)
| nowhere_dense(sK28(sK9(powerset(the_carrier(X0)))),X0)
| ~ top_str(X0)
| ~ topological_space(X0) ),
inference(subsumption_resolution,[],[f2691,f440]) ).
fof(f2691,plain,
! [X0] :
( ~ boundary_set(sK28(sK9(powerset(the_carrier(X0)))),X0)
| ~ closed_subset(sK28(sK9(powerset(the_carrier(X0)))),X0)
| nowhere_dense(sK28(sK9(powerset(the_carrier(X0)))),X0)
| ~ top_str(X0)
| ~ topological_space(X0)
| empty(powerset(the_carrier(X0))) ),
inference(resolution,[],[f614,f1246]) ).
fof(f2690,plain,
! [X0] :
( ~ boundary_set(sK28(powerset(the_carrier(X0))),X0)
| ~ closed_subset(sK28(powerset(the_carrier(X0))),X0)
| nowhere_dense(sK28(powerset(the_carrier(X0))),X0)
| ~ top_str(X0)
| ~ topological_space(X0) ),
inference(resolution,[],[f614,f633]) ).
fof(f2715,plain,
! [X0] :
( ~ boundary_set(sK26(X0),X0)
| nowhere_dense(sK26(X0),X0)
| ~ top_str(X0)
| ~ topological_space(X0) ),
inference(subsumption_resolution,[],[f2703,f628]) ).
fof(f2703,plain,
! [X0] :
( ~ boundary_set(sK26(X0),X0)
| ~ closed_subset(sK26(X0),X0)
| nowhere_dense(sK26(X0),X0)
| ~ top_str(X0)
| ~ topological_space(X0) ),
inference(duplicate_literal_removal,[],[f2689]) ).
fof(f2689,plain,
! [X0] :
( ~ boundary_set(sK26(X0),X0)
| ~ closed_subset(sK26(X0),X0)
| nowhere_dense(sK26(X0),X0)
| ~ top_str(X0)
| ~ topological_space(X0)
| ~ top_str(X0)
| ~ topological_space(X0) ),
inference(resolution,[],[f614,f627]) ).
fof(f2714,plain,
! [X0] :
( ~ boundary_set(sK25(X0),X0)
| nowhere_dense(sK25(X0),X0)
| ~ top_str(X0)
| ~ topological_space(X0) ),
inference(subsumption_resolution,[],[f2704,f626]) ).
fof(f2704,plain,
! [X0] :
( ~ boundary_set(sK25(X0),X0)
| ~ closed_subset(sK25(X0),X0)
| nowhere_dense(sK25(X0),X0)
| ~ top_str(X0)
| ~ topological_space(X0) ),
inference(duplicate_literal_removal,[],[f2688]) ).
fof(f2688,plain,
! [X0] :
( ~ boundary_set(sK25(X0),X0)
| ~ closed_subset(sK25(X0),X0)
| nowhere_dense(sK25(X0),X0)
| ~ top_str(X0)
| ~ topological_space(X0)
| ~ top_str(X0)
| ~ topological_space(X0) ),
inference(resolution,[],[f614,f624]) ).
fof(f2705,plain,
! [X0] :
( ~ boundary_set(sK24(X0),X0)
| ~ closed_subset(sK24(X0),X0)
| nowhere_dense(sK24(X0),X0)
| ~ top_str(X0)
| ~ topological_space(X0) ),
inference(duplicate_literal_removal,[],[f2687]) ).
fof(f2687,plain,
! [X0] :
( ~ boundary_set(sK24(X0),X0)
| ~ closed_subset(sK24(X0),X0)
| nowhere_dense(sK24(X0),X0)
| ~ top_str(X0)
| ~ topological_space(X0)
| ~ top_str(X0)
| ~ topological_space(X0) ),
inference(resolution,[],[f614,f622]) ).
fof(f2685,plain,
! [X0] :
( ~ boundary_set(sK22(X0),X0)
| ~ closed_subset(sK22(X0),X0)
| nowhere_dense(sK22(X0),X0)
| ~ top_str(X0)
| ~ topological_space(X0)
| ~ rel_str(X0)
| ~ transitive_relstr(X0)
| ~ reflexive_relstr(X0)
| empty_carrier(X0) ),
inference(resolution,[],[f614,f598]) ).
fof(f2684,plain,
! [X0] :
( ~ boundary_set(sK21(X0),X0)
| ~ closed_subset(sK21(X0),X0)
| nowhere_dense(sK21(X0),X0)
| ~ top_str(X0)
| ~ topological_space(X0)
| ~ rel_str(X0)
| ~ transitive_relstr(X0)
| ~ reflexive_relstr(X0)
| empty_carrier(X0) ),
inference(resolution,[],[f614,f596]) ).
fof(f2683,plain,
! [X0] :
( ~ boundary_set(sK20(X0),X0)
| ~ closed_subset(sK20(X0),X0)
| nowhere_dense(sK20(X0),X0)
| ~ top_str(X0)
| ~ topological_space(X0)
| ~ rel_str(X0)
| ~ reflexive_relstr(X0)
| empty_carrier(X0) ),
inference(resolution,[],[f614,f593]) ).
fof(f2682,plain,
! [X0] :
( ~ boundary_set(sK19(X0),X0)
| ~ closed_subset(sK19(X0),X0)
| nowhere_dense(sK19(X0),X0)
| ~ top_str(X0)
| ~ topological_space(X0)
| ~ rel_str(X0)
| empty_carrier(X0) ),
inference(resolution,[],[f614,f591]) ).
fof(f2713,plain,
! [X0] :
( ~ boundary_set(sK18(X0),X0)
| ~ closed_subset(sK18(X0),X0)
| nowhere_dense(sK18(X0),X0)
| ~ top_str(X0)
| ~ topological_space(X0)
| empty_carrier(X0) ),
inference(subsumption_resolution,[],[f2681,f508]) ).
fof(f2681,plain,
! [X0] :
( ~ boundary_set(sK18(X0),X0)
| ~ closed_subset(sK18(X0),X0)
| nowhere_dense(sK18(X0),X0)
| ~ top_str(X0)
| ~ topological_space(X0)
| ~ one_sorted_str(X0)
| empty_carrier(X0) ),
inference(resolution,[],[f614,f585]) ).
fof(f2712,plain,
! [X0] :
( ~ boundary_set(sK17(X0),X0)
| nowhere_dense(sK17(X0),X0)
| ~ top_str(X0)
| ~ topological_space(X0)
| empty_carrier(X0) ),
inference(subsumption_resolution,[],[f2706,f582]) ).
fof(f2706,plain,
! [X0] :
( ~ boundary_set(sK17(X0),X0)
| ~ closed_subset(sK17(X0),X0)
| nowhere_dense(sK17(X0),X0)
| ~ top_str(X0)
| ~ topological_space(X0)
| empty_carrier(X0) ),
inference(duplicate_literal_removal,[],[f2680]) ).
fof(f2680,plain,
! [X0] :
( ~ boundary_set(sK17(X0),X0)
| ~ closed_subset(sK17(X0),X0)
| nowhere_dense(sK17(X0),X0)
| ~ top_str(X0)
| ~ topological_space(X0)
| ~ top_str(X0)
| ~ topological_space(X0)
| empty_carrier(X0) ),
inference(resolution,[],[f614,f580]) ).
fof(f2711,plain,
! [X0] :
( ~ boundary_set(sK16(X0),X0)
| nowhere_dense(sK16(X0),X0)
| ~ top_str(X0)
| ~ topological_space(X0)
| empty_carrier(X0) ),
inference(subsumption_resolution,[],[f2707,f579]) ).
fof(f2707,plain,
! [X0] :
( ~ boundary_set(sK16(X0),X0)
| ~ closed_subset(sK16(X0),X0)
| nowhere_dense(sK16(X0),X0)
| ~ top_str(X0)
| ~ topological_space(X0)
| empty_carrier(X0) ),
inference(duplicate_literal_removal,[],[f2679]) ).
fof(f2679,plain,
! [X0] :
( ~ boundary_set(sK16(X0),X0)
| ~ closed_subset(sK16(X0),X0)
| nowhere_dense(sK16(X0),X0)
| ~ top_str(X0)
| ~ topological_space(X0)
| ~ top_str(X0)
| ~ topological_space(X0)
| empty_carrier(X0) ),
inference(resolution,[],[f614,f576]) ).
fof(f2678,plain,
! [X0] :
( ~ boundary_set(sK15(X0),X0)
| ~ closed_subset(sK15(X0),X0)
| nowhere_dense(sK15(X0),X0)
| ~ top_str(X0)
| ~ topological_space(X0)
| ~ rel_str(X0) ),
inference(resolution,[],[f614,f572]) ).
fof(f2677,plain,
! [X0] :
( ~ boundary_set(sK14(X0),X0)
| ~ closed_subset(sK14(X0),X0)
| nowhere_dense(sK14(X0),X0)
| ~ top_str(X0)
| ~ topological_space(X0)
| ~ rel_str(X0) ),
inference(resolution,[],[f614,f571]) ).
fof(f2675,plain,
! [X0] :
( ~ boundary_set(sK11(the_carrier(X0)),X0)
| ~ closed_subset(sK11(the_carrier(X0)),X0)
| nowhere_dense(sK11(the_carrier(X0)),X0)
| ~ top_str(X0)
| ~ topological_space(X0)
| empty(the_carrier(X0)) ),
inference(resolution,[],[f614,f505]) ).
fof(f2674,plain,
! [X0] :
( ~ boundary_set(sK10(the_carrier(X0)),X0)
| ~ closed_subset(sK10(the_carrier(X0)),X0)
| nowhere_dense(sK10(the_carrier(X0)),X0)
| ~ top_str(X0)
| ~ topological_space(X0)
| empty(the_carrier(X0)) ),
inference(resolution,[],[f614,f502]) ).
fof(f2673,plain,
! [X0] :
( ~ boundary_set(sK9(the_carrier(X0)),X0)
| ~ closed_subset(sK9(the_carrier(X0)),X0)
| nowhere_dense(sK9(the_carrier(X0)),X0)
| ~ top_str(X0)
| ~ topological_space(X0)
| empty(the_carrier(X0)) ),
inference(resolution,[],[f614,f500]) ).
fof(f2710,plain,
! [X0] :
( ~ boundary_set(cast_as_carrier_subset(X0),X0)
| nowhere_dense(cast_as_carrier_subset(X0),X0)
| ~ top_str(X0)
| ~ topological_space(X0) ),
inference(subsumption_resolution,[],[f2709,f600]) ).
fof(f2709,plain,
! [X0] :
( ~ boundary_set(cast_as_carrier_subset(X0),X0)
| ~ closed_subset(cast_as_carrier_subset(X0),X0)
| nowhere_dense(cast_as_carrier_subset(X0),X0)
| ~ top_str(X0)
| ~ topological_space(X0) ),
inference(subsumption_resolution,[],[f2671,f508]) ).
fof(f2671,plain,
! [X0] :
( ~ boundary_set(cast_as_carrier_subset(X0),X0)
| ~ closed_subset(cast_as_carrier_subset(X0),X0)
| nowhere_dense(cast_as_carrier_subset(X0),X0)
| ~ top_str(X0)
| ~ topological_space(X0)
| ~ one_sorted_str(X0) ),
inference(resolution,[],[f614,f513]) ).
fof(f2670,plain,
! [X0,X1] :
( ~ boundary_set(X0,X1)
| ~ closed_subset(X0,X1)
| nowhere_dense(X0,X1)
| ~ top_str(X1)
| ~ topological_space(X1)
| ~ in(X0,powerset(the_carrier(X1))) ),
inference(resolution,[],[f614,f641]) ).
fof(f2669,plain,
! [X0,X1] :
( ~ boundary_set(X0,X1)
| ~ closed_subset(X0,X1)
| nowhere_dense(X0,X1)
| ~ top_str(X1)
| ~ topological_space(X1)
| ~ subset(X0,the_carrier(X1)) ),
inference(resolution,[],[f614,f654]) ).
fof(f2668,plain,
! [X0,X1] :
( ~ boundary_set(X0,X1)
| ~ closed_subset(X0,X1)
| nowhere_dense(X0,X1)
| ~ top_str(X1)
| ~ topological_space(X1)
| ~ in(X0,sK30(the_carrier(X1))) ),
inference(resolution,[],[f614,f1156]) ).
fof(f614,plain,
! [X0,X1] :
( ~ element(X1,powerset(the_carrier(X0)))
| ~ boundary_set(X1,X0)
| ~ closed_subset(X1,X0)
| nowhere_dense(X1,X0)
| ~ top_str(X0)
| ~ topological_space(X0) ),
inference(cnf_transformation,[],[f280]) ).
fof(f280,plain,
! [X0] :
( ! [X1] :
( ( nowhere_dense(X1,X0)
& boundary_set(X1,X0) )
| ~ boundary_set(X1,X0)
| ~ closed_subset(X1,X0)
| ~ element(X1,powerset(the_carrier(X0))) )
| ~ top_str(X0)
| ~ topological_space(X0) ),
inference(flattening,[],[f279]) ).
fof(f279,plain,
! [X0] :
( ! [X1] :
( ( nowhere_dense(X1,X0)
& boundary_set(X1,X0) )
| ~ boundary_set(X1,X0)
| ~ closed_subset(X1,X0)
| ~ element(X1,powerset(the_carrier(X0))) )
| ~ top_str(X0)
| ~ topological_space(X0) ),
inference(ennf_transformation,[],[f22]) ).
fof(f22,axiom,
! [X0] :
( ( top_str(X0)
& topological_space(X0) )
=> ! [X1] :
( element(X1,powerset(the_carrier(X0)))
=> ( ( boundary_set(X1,X0)
& closed_subset(X1,X0) )
=> ( nowhere_dense(X1,X0)
& boundary_set(X1,X0) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc5_tops_1) ).
fof(f2650,plain,
! [X0] :
( closed_subset(sK23(X0),X0)
| ~ topological_space(X0)
| ~ top_str(X0) ),
inference(resolution,[],[f2626,f609]) ).
fof(f2649,plain,
! [X0] :
( boundary_set(sK23(X0),X0)
| ~ topological_space(X0)
| ~ top_str(X0) ),
inference(resolution,[],[f2626,f610]) ).
fof(f2661,plain,
! [X0] :
( ~ topological_space(X0)
| ~ top_str(X0)
| empty_set = sK28(sK10(powerset(sK23(X0)))) ),
inference(resolution,[],[f2651,f1475]) ).
fof(f2660,plain,
! [X0] :
( ~ topological_space(X0)
| ~ top_str(X0)
| empty_set = sK28(sK9(sK30(sK23(X0)))) ),
inference(resolution,[],[f2651,f1331]) ).
fof(f2659,plain,
! [X0] :
( ~ topological_space(X0)
| ~ top_str(X0)
| empty_set = sK28(sK9(powerset(sK23(X0)))) ),
inference(resolution,[],[f2651,f1287]) ).
fof(f2658,plain,
! [X0] :
( ~ topological_space(X0)
| ~ top_str(X0)
| empty_set = sK28(sK30(sK23(X0))) ),
inference(resolution,[],[f2651,f1209]) ).
fof(f2657,plain,
! [X0] :
( ~ topological_space(X0)
| ~ top_str(X0)
| empty_set = sK28(powerset(sK28(powerset(sK23(X0))))) ),
inference(resolution,[],[f2651,f1024]) ).
fof(f2656,plain,
! [X0] :
( ~ topological_space(X0)
| ~ top_str(X0)
| empty_set = sK28(powerset(sK23(X0))) ),
inference(resolution,[],[f2651,f1020]) ).
fof(f2655,plain,
! [X0,X1] :
( ~ topological_space(X0)
| ~ top_str(X0)
| sK23(X0) = sK28(powerset(X1))
| ~ empty(X1) ),
inference(resolution,[],[f2651,f1019]) ).
fof(f2654,plain,
! [X0,X1] :
( ~ topological_space(X0)
| ~ top_str(X0)
| sK23(X0) = X1
| ~ empty(X1) ),
inference(resolution,[],[f2651,f655]) ).
fof(f2651,plain,
! [X0] :
( empty(sK23(X0))
| ~ topological_space(X0)
| ~ top_str(X0) ),
inference(resolution,[],[f2626,f607]) ).
fof(f2626,plain,
! [X0] :
( sP4(X0,sK23(X0))
| ~ top_str(X0)
| ~ topological_space(X0) ),
inference(subsumption_resolution,[],[f2625,f621]) ).
fof(f2625,plain,
! [X0] :
( sP4(X0,sK23(X0))
| ~ top_str(X0)
| ~ topological_space(X0)
| ~ sP5(X0) ),
inference(subsumption_resolution,[],[f2624,f617]) ).
fof(f2624,plain,
! [X0] :
( ~ open_subset(sK23(X0),X0)
| sP4(X0,sK23(X0))
| ~ top_str(X0)
| ~ topological_space(X0)
| ~ sP5(X0) ),
inference(subsumption_resolution,[],[f2593,f620]) ).
fof(f2593,plain,
! [X0] :
( ~ nowhere_dense(sK23(X0),X0)
| ~ open_subset(sK23(X0),X0)
| sP4(X0,sK23(X0))
| ~ top_str(X0)
| ~ topological_space(X0)
| ~ sP5(X0) ),
inference(resolution,[],[f612,f615]) ).
fof(f2621,plain,
! [X0] :
( sP4(X0,sK12(X0))
| ~ top_str(X0)
| ~ topological_space(X0) ),
inference(subsumption_resolution,[],[f2620,f2046]) ).
fof(f2620,plain,
! [X0] :
( ~ open_subset(sK12(X0),X0)
| sP4(X0,sK12(X0))
| ~ top_str(X0)
| ~ topological_space(X0) ),
inference(subsumption_resolution,[],[f2615,f1918]) ).
fof(f2615,plain,
! [X0] :
( ~ nowhere_dense(sK12(X0),X0)
| ~ open_subset(sK12(X0),X0)
| sP4(X0,sK12(X0))
| ~ top_str(X0)
| ~ topological_space(X0) ),
inference(duplicate_literal_removal,[],[f2583]) ).
fof(f2583,plain,
! [X0] :
( ~ nowhere_dense(sK12(X0),X0)
| ~ open_subset(sK12(X0),X0)
| sP4(X0,sK12(X0))
| ~ top_str(X0)
| ~ topological_space(X0)
| ~ top_str(X0) ),
inference(resolution,[],[f612,f510]) ).
fof(f2619,plain,
! [X0] :
( sP4(X0,empty_set)
| ~ top_str(X0)
| ~ topological_space(X0) ),
inference(subsumption_resolution,[],[f2618,f2045]) ).
fof(f2618,plain,
! [X0] :
( ~ open_subset(empty_set,X0)
| sP4(X0,empty_set)
| ~ top_str(X0)
| ~ topological_space(X0) ),
inference(subsumption_resolution,[],[f2579,f1917]) ).
fof(f2579,plain,
! [X0] :
( ~ nowhere_dense(empty_set,X0)
| ~ open_subset(empty_set,X0)
| sP4(X0,empty_set)
| ~ top_str(X0)
| ~ topological_space(X0) ),
inference(resolution,[],[f612,f770]) ).
fof(f2640,plain,
! [X0] :
( ~ nowhere_dense(sK28(sK11(sK11(powerset(the_carrier(X0))))),X0)
| ~ open_subset(sK28(sK11(sK11(powerset(the_carrier(X0))))),X0)
| sP4(X0,sK28(sK11(sK11(powerset(the_carrier(X0))))))
| ~ top_str(X0)
| ~ topological_space(X0) ),
inference(subsumption_resolution,[],[f2609,f440]) ).
fof(f2609,plain,
! [X0] :
( ~ nowhere_dense(sK28(sK11(sK11(powerset(the_carrier(X0))))),X0)
| ~ open_subset(sK28(sK11(sK11(powerset(the_carrier(X0))))),X0)
| sP4(X0,sK28(sK11(sK11(powerset(the_carrier(X0))))))
| ~ top_str(X0)
| ~ topological_space(X0)
| empty(powerset(the_carrier(X0))) ),
inference(resolution,[],[f612,f1834]) ).
fof(f2639,plain,
! [X0] :
( ~ nowhere_dense(sK28(sK11(sK10(powerset(the_carrier(X0))))),X0)
| ~ open_subset(sK28(sK11(sK10(powerset(the_carrier(X0))))),X0)
| sP4(X0,sK28(sK11(sK10(powerset(the_carrier(X0))))))
| ~ top_str(X0)
| ~ topological_space(X0) ),
inference(subsumption_resolution,[],[f2608,f440]) ).
fof(f2608,plain,
! [X0] :
( ~ nowhere_dense(sK28(sK11(sK10(powerset(the_carrier(X0))))),X0)
| ~ open_subset(sK28(sK11(sK10(powerset(the_carrier(X0))))),X0)
| sP4(X0,sK28(sK11(sK10(powerset(the_carrier(X0))))))
| ~ top_str(X0)
| ~ topological_space(X0)
| empty(powerset(the_carrier(X0))) ),
inference(resolution,[],[f612,f1833]) ).
fof(f2638,plain,
! [X0] :
( ~ nowhere_dense(sK28(sK11(sK9(powerset(the_carrier(X0))))),X0)
| ~ open_subset(sK28(sK11(sK9(powerset(the_carrier(X0))))),X0)
| sP4(X0,sK28(sK11(sK9(powerset(the_carrier(X0))))))
| ~ top_str(X0)
| ~ topological_space(X0) ),
inference(subsumption_resolution,[],[f2607,f440]) ).
fof(f2607,plain,
! [X0] :
( ~ nowhere_dense(sK28(sK11(sK9(powerset(the_carrier(X0))))),X0)
| ~ open_subset(sK28(sK11(sK9(powerset(the_carrier(X0))))),X0)
| sP4(X0,sK28(sK11(sK9(powerset(the_carrier(X0))))))
| ~ top_str(X0)
| ~ topological_space(X0)
| empty(powerset(the_carrier(X0))) ),
inference(resolution,[],[f612,f1832]) ).
fof(f2637,plain,
! [X0] :
( ~ nowhere_dense(sK28(sK11(powerset(the_carrier(X0)))),X0)
| ~ open_subset(sK28(sK11(powerset(the_carrier(X0)))),X0)
| sP4(X0,sK28(sK11(powerset(the_carrier(X0)))))
| ~ top_str(X0)
| ~ topological_space(X0) ),
inference(subsumption_resolution,[],[f2606,f440]) ).
fof(f2606,plain,
! [X0] :
( ~ nowhere_dense(sK28(sK11(powerset(the_carrier(X0)))),X0)
| ~ open_subset(sK28(sK11(powerset(the_carrier(X0)))),X0)
| sP4(X0,sK28(sK11(powerset(the_carrier(X0)))))
| ~ top_str(X0)
| ~ topological_space(X0)
| empty(powerset(the_carrier(X0))) ),
inference(resolution,[],[f612,f1791]) ).
fof(f2636,plain,
! [X0] :
( ~ nowhere_dense(sK28(sK10(sK11(powerset(the_carrier(X0))))),X0)
| ~ open_subset(sK28(sK10(sK11(powerset(the_carrier(X0))))),X0)
| sP4(X0,sK28(sK10(sK11(powerset(the_carrier(X0))))))
| ~ top_str(X0)
| ~ topological_space(X0) ),
inference(subsumption_resolution,[],[f2605,f440]) ).
fof(f2605,plain,
! [X0] :
( ~ nowhere_dense(sK28(sK10(sK11(powerset(the_carrier(X0))))),X0)
| ~ open_subset(sK28(sK10(sK11(powerset(the_carrier(X0))))),X0)
| sP4(X0,sK28(sK10(sK11(powerset(the_carrier(X0))))))
| ~ top_str(X0)
| ~ topological_space(X0)
| empty(powerset(the_carrier(X0))) ),
inference(resolution,[],[f612,f1795]) ).
fof(f2635,plain,
! [X0] :
( ~ nowhere_dense(sK28(sK10(sK10(powerset(the_carrier(X0))))),X0)
| ~ open_subset(sK28(sK10(sK10(powerset(the_carrier(X0))))),X0)
| sP4(X0,sK28(sK10(sK10(powerset(the_carrier(X0))))))
| ~ top_str(X0)
| ~ topological_space(X0) ),
inference(subsumption_resolution,[],[f2604,f440]) ).
fof(f2604,plain,
! [X0] :
( ~ nowhere_dense(sK28(sK10(sK10(powerset(the_carrier(X0))))),X0)
| ~ open_subset(sK28(sK10(sK10(powerset(the_carrier(X0))))),X0)
| sP4(X0,sK28(sK10(sK10(powerset(the_carrier(X0))))))
| ~ top_str(X0)
| ~ topological_space(X0)
| empty(powerset(the_carrier(X0))) ),
inference(resolution,[],[f612,f1457]) ).
fof(f2634,plain,
! [X0] :
( ~ nowhere_dense(sK28(sK10(sK9(powerset(the_carrier(X0))))),X0)
| ~ open_subset(sK28(sK10(sK9(powerset(the_carrier(X0))))),X0)
| sP4(X0,sK28(sK10(sK9(powerset(the_carrier(X0))))))
| ~ top_str(X0)
| ~ topological_space(X0) ),
inference(subsumption_resolution,[],[f2603,f440]) ).
fof(f2603,plain,
! [X0] :
( ~ nowhere_dense(sK28(sK10(sK9(powerset(the_carrier(X0))))),X0)
| ~ open_subset(sK28(sK10(sK9(powerset(the_carrier(X0))))),X0)
| sP4(X0,sK28(sK10(sK9(powerset(the_carrier(X0))))))
| ~ top_str(X0)
| ~ topological_space(X0)
| empty(powerset(the_carrier(X0))) ),
inference(resolution,[],[f612,f1456]) ).
fof(f2633,plain,
! [X0] :
( ~ nowhere_dense(sK28(sK10(powerset(the_carrier(X0)))),X0)
| ~ open_subset(sK28(sK10(powerset(the_carrier(X0)))),X0)
| sP4(X0,sK28(sK10(powerset(the_carrier(X0)))))
| ~ top_str(X0)
| ~ topological_space(X0) ),
inference(subsumption_resolution,[],[f2602,f440]) ).
fof(f2602,plain,
! [X0] :
( ~ nowhere_dense(sK28(sK10(powerset(the_carrier(X0)))),X0)
| ~ open_subset(sK28(sK10(powerset(the_carrier(X0)))),X0)
| sP4(X0,sK28(sK10(powerset(the_carrier(X0)))))
| ~ top_str(X0)
| ~ topological_space(X0)
| empty(powerset(the_carrier(X0))) ),
inference(resolution,[],[f612,f1422]) ).
fof(f2632,plain,
! [X0] :
( ~ nowhere_dense(sK28(sK9(sK11(powerset(the_carrier(X0))))),X0)
| ~ open_subset(sK28(sK9(sK11(powerset(the_carrier(X0))))),X0)
| sP4(X0,sK28(sK9(sK11(powerset(the_carrier(X0))))))
| ~ top_str(X0)
| ~ topological_space(X0) ),
inference(subsumption_resolution,[],[f2601,f440]) ).
fof(f2601,plain,
! [X0] :
( ~ nowhere_dense(sK28(sK9(sK11(powerset(the_carrier(X0))))),X0)
| ~ open_subset(sK28(sK9(sK11(powerset(the_carrier(X0))))),X0)
| sP4(X0,sK28(sK9(sK11(powerset(the_carrier(X0))))))
| ~ top_str(X0)
| ~ topological_space(X0)
| empty(powerset(the_carrier(X0))) ),
inference(resolution,[],[f612,f1792]) ).
fof(f2631,plain,
! [X0] :
( ~ nowhere_dense(sK28(sK9(sK10(powerset(the_carrier(X0))))),X0)
| ~ open_subset(sK28(sK9(sK10(powerset(the_carrier(X0))))),X0)
| sP4(X0,sK28(sK9(sK10(powerset(the_carrier(X0))))))
| ~ top_str(X0)
| ~ topological_space(X0) ),
inference(subsumption_resolution,[],[f2600,f440]) ).
fof(f2600,plain,
! [X0] :
( ~ nowhere_dense(sK28(sK9(sK10(powerset(the_carrier(X0))))),X0)
| ~ open_subset(sK28(sK9(sK10(powerset(the_carrier(X0))))),X0)
| sP4(X0,sK28(sK9(sK10(powerset(the_carrier(X0))))))
| ~ top_str(X0)
| ~ topological_space(X0)
| empty(powerset(the_carrier(X0))) ),
inference(resolution,[],[f612,f1423]) ).
fof(f2630,plain,
! [X0] :
( ~ nowhere_dense(sK28(sK9(sK9(powerset(the_carrier(X0))))),X0)
| ~ open_subset(sK28(sK9(sK9(powerset(the_carrier(X0))))),X0)
| sP4(X0,sK28(sK9(sK9(powerset(the_carrier(X0))))))
| ~ top_str(X0)
| ~ topological_space(X0) ),
inference(subsumption_resolution,[],[f2599,f440]) ).
fof(f2599,plain,
! [X0] :
( ~ nowhere_dense(sK28(sK9(sK9(powerset(the_carrier(X0))))),X0)
| ~ open_subset(sK28(sK9(sK9(powerset(the_carrier(X0))))),X0)
| sP4(X0,sK28(sK9(sK9(powerset(the_carrier(X0))))))
| ~ top_str(X0)
| ~ topological_space(X0)
| empty(powerset(the_carrier(X0))) ),
inference(resolution,[],[f612,f1273]) ).
fof(f2629,plain,
! [X0] :
( ~ nowhere_dense(sK28(sK9(powerset(the_carrier(X0)))),X0)
| ~ open_subset(sK28(sK9(powerset(the_carrier(X0)))),X0)
| sP4(X0,sK28(sK9(powerset(the_carrier(X0)))))
| ~ top_str(X0)
| ~ topological_space(X0) ),
inference(subsumption_resolution,[],[f2598,f440]) ).
fof(f2598,plain,
! [X0] :
( ~ nowhere_dense(sK28(sK9(powerset(the_carrier(X0)))),X0)
| ~ open_subset(sK28(sK9(powerset(the_carrier(X0)))),X0)
| sP4(X0,sK28(sK9(powerset(the_carrier(X0)))))
| ~ top_str(X0)
| ~ topological_space(X0)
| empty(powerset(the_carrier(X0))) ),
inference(resolution,[],[f612,f1246]) ).
fof(f2597,plain,
! [X0] :
( ~ nowhere_dense(sK28(powerset(the_carrier(X0))),X0)
| ~ open_subset(sK28(powerset(the_carrier(X0))),X0)
| sP4(X0,sK28(powerset(the_carrier(X0))))
| ~ top_str(X0)
| ~ topological_space(X0) ),
inference(resolution,[],[f612,f633]) ).
fof(f2610,plain,
! [X0] :
( ~ nowhere_dense(sK26(X0),X0)
| ~ open_subset(sK26(X0),X0)
| sP4(X0,sK26(X0))
| ~ top_str(X0)
| ~ topological_space(X0) ),
inference(duplicate_literal_removal,[],[f2596]) ).
fof(f2596,plain,
! [X0] :
( ~ nowhere_dense(sK26(X0),X0)
| ~ open_subset(sK26(X0),X0)
| sP4(X0,sK26(X0))
| ~ top_str(X0)
| ~ topological_space(X0)
| ~ top_str(X0)
| ~ topological_space(X0) ),
inference(resolution,[],[f612,f627]) ).
fof(f2628,plain,
! [X0] :
( ~ nowhere_dense(sK25(X0),X0)
| sP4(X0,sK25(X0))
| ~ top_str(X0)
| ~ topological_space(X0) ),
inference(subsumption_resolution,[],[f2611,f625]) ).
fof(f2611,plain,
! [X0] :
( ~ nowhere_dense(sK25(X0),X0)
| ~ open_subset(sK25(X0),X0)
| sP4(X0,sK25(X0))
| ~ top_str(X0)
| ~ topological_space(X0) ),
inference(duplicate_literal_removal,[],[f2595]) ).
fof(f2595,plain,
! [X0] :
( ~ nowhere_dense(sK25(X0),X0)
| ~ open_subset(sK25(X0),X0)
| sP4(X0,sK25(X0))
| ~ top_str(X0)
| ~ topological_space(X0)
| ~ top_str(X0)
| ~ topological_space(X0) ),
inference(resolution,[],[f612,f624]) ).
fof(f2627,plain,
! [X0] :
( ~ nowhere_dense(sK24(X0),X0)
| sP4(X0,sK24(X0))
| ~ top_str(X0)
| ~ topological_space(X0) ),
inference(subsumption_resolution,[],[f2612,f623]) ).
fof(f2612,plain,
! [X0] :
( ~ nowhere_dense(sK24(X0),X0)
| ~ open_subset(sK24(X0),X0)
| sP4(X0,sK24(X0))
| ~ top_str(X0)
| ~ topological_space(X0) ),
inference(duplicate_literal_removal,[],[f2594]) ).
fof(f2594,plain,
! [X0] :
( ~ nowhere_dense(sK24(X0),X0)
| ~ open_subset(sK24(X0),X0)
| sP4(X0,sK24(X0))
| ~ top_str(X0)
| ~ topological_space(X0)
| ~ top_str(X0)
| ~ topological_space(X0) ),
inference(resolution,[],[f612,f622]) ).
fof(f2592,plain,
! [X0] :
( ~ nowhere_dense(sK22(X0),X0)
| ~ open_subset(sK22(X0),X0)
| sP4(X0,sK22(X0))
| ~ top_str(X0)
| ~ topological_space(X0)
| ~ rel_str(X0)
| ~ transitive_relstr(X0)
| ~ reflexive_relstr(X0)
| empty_carrier(X0) ),
inference(resolution,[],[f612,f598]) ).
fof(f2591,plain,
! [X0] :
( ~ nowhere_dense(sK21(X0),X0)
| ~ open_subset(sK21(X0),X0)
| sP4(X0,sK21(X0))
| ~ top_str(X0)
| ~ topological_space(X0)
| ~ rel_str(X0)
| ~ transitive_relstr(X0)
| ~ reflexive_relstr(X0)
| empty_carrier(X0) ),
inference(resolution,[],[f612,f596]) ).
fof(f2590,plain,
! [X0] :
( ~ nowhere_dense(sK20(X0),X0)
| ~ open_subset(sK20(X0),X0)
| sP4(X0,sK20(X0))
| ~ top_str(X0)
| ~ topological_space(X0)
| ~ rel_str(X0)
| ~ reflexive_relstr(X0)
| empty_carrier(X0) ),
inference(resolution,[],[f612,f593]) ).
fof(f2589,plain,
! [X0] :
( ~ nowhere_dense(sK19(X0),X0)
| ~ open_subset(sK19(X0),X0)
| sP4(X0,sK19(X0))
| ~ top_str(X0)
| ~ topological_space(X0)
| ~ rel_str(X0)
| empty_carrier(X0) ),
inference(resolution,[],[f612,f591]) ).
fof(f2623,plain,
! [X0] :
( ~ nowhere_dense(sK18(X0),X0)
| ~ open_subset(sK18(X0),X0)
| sP4(X0,sK18(X0))
| ~ top_str(X0)
| ~ topological_space(X0)
| empty_carrier(X0) ),
inference(subsumption_resolution,[],[f2588,f508]) ).
fof(f2588,plain,
! [X0] :
( ~ nowhere_dense(sK18(X0),X0)
| ~ open_subset(sK18(X0),X0)
| sP4(X0,sK18(X0))
| ~ top_str(X0)
| ~ topological_space(X0)
| ~ one_sorted_str(X0)
| empty_carrier(X0) ),
inference(resolution,[],[f612,f585]) ).
fof(f2613,plain,
! [X0] :
( ~ nowhere_dense(sK17(X0),X0)
| ~ open_subset(sK17(X0),X0)
| sP4(X0,sK17(X0))
| ~ top_str(X0)
| ~ topological_space(X0)
| empty_carrier(X0) ),
inference(duplicate_literal_removal,[],[f2587]) ).
fof(f2587,plain,
! [X0] :
( ~ nowhere_dense(sK17(X0),X0)
| ~ open_subset(sK17(X0),X0)
| sP4(X0,sK17(X0))
| ~ top_str(X0)
| ~ topological_space(X0)
| ~ top_str(X0)
| ~ topological_space(X0)
| empty_carrier(X0) ),
inference(resolution,[],[f612,f580]) ).
fof(f2622,plain,
! [X0] :
( ~ nowhere_dense(sK16(X0),X0)
| sP4(X0,sK16(X0))
| ~ top_str(X0)
| ~ topological_space(X0)
| empty_carrier(X0) ),
inference(subsumption_resolution,[],[f2614,f578]) ).
fof(f2614,plain,
! [X0] :
( ~ nowhere_dense(sK16(X0),X0)
| ~ open_subset(sK16(X0),X0)
| sP4(X0,sK16(X0))
| ~ top_str(X0)
| ~ topological_space(X0)
| empty_carrier(X0) ),
inference(duplicate_literal_removal,[],[f2586]) ).
fof(f2586,plain,
! [X0] :
( ~ nowhere_dense(sK16(X0),X0)
| ~ open_subset(sK16(X0),X0)
| sP4(X0,sK16(X0))
| ~ top_str(X0)
| ~ topological_space(X0)
| ~ top_str(X0)
| ~ topological_space(X0)
| empty_carrier(X0) ),
inference(resolution,[],[f612,f576]) ).
fof(f2585,plain,
! [X0] :
( ~ nowhere_dense(sK15(X0),X0)
| ~ open_subset(sK15(X0),X0)
| sP4(X0,sK15(X0))
| ~ top_str(X0)
| ~ topological_space(X0)
| ~ rel_str(X0) ),
inference(resolution,[],[f612,f572]) ).
fof(f2584,plain,
! [X0] :
( ~ nowhere_dense(sK14(X0),X0)
| ~ open_subset(sK14(X0),X0)
| sP4(X0,sK14(X0))
| ~ top_str(X0)
| ~ topological_space(X0)
| ~ rel_str(X0) ),
inference(resolution,[],[f612,f571]) ).
fof(f2582,plain,
! [X0] :
( ~ nowhere_dense(sK11(the_carrier(X0)),X0)
| ~ open_subset(sK11(the_carrier(X0)),X0)
| sP4(X0,sK11(the_carrier(X0)))
| ~ top_str(X0)
| ~ topological_space(X0)
| empty(the_carrier(X0)) ),
inference(resolution,[],[f612,f505]) ).
fof(f2581,plain,
! [X0] :
( ~ nowhere_dense(sK10(the_carrier(X0)),X0)
| ~ open_subset(sK10(the_carrier(X0)),X0)
| sP4(X0,sK10(the_carrier(X0)))
| ~ top_str(X0)
| ~ topological_space(X0)
| empty(the_carrier(X0)) ),
inference(resolution,[],[f612,f502]) ).
fof(f2580,plain,
! [X0] :
( ~ nowhere_dense(sK9(the_carrier(X0)),X0)
| ~ open_subset(sK9(the_carrier(X0)),X0)
| sP4(X0,sK9(the_carrier(X0)))
| ~ top_str(X0)
| ~ topological_space(X0)
| empty(the_carrier(X0)) ),
inference(resolution,[],[f612,f500]) ).
fof(f2617,plain,
! [X0] :
( ~ nowhere_dense(cast_as_carrier_subset(X0),X0)
| sP4(X0,cast_as_carrier_subset(X0))
| ~ top_str(X0)
| ~ topological_space(X0) ),
inference(subsumption_resolution,[],[f2616,f601]) ).
fof(f2616,plain,
! [X0] :
( ~ nowhere_dense(cast_as_carrier_subset(X0),X0)
| ~ open_subset(cast_as_carrier_subset(X0),X0)
| sP4(X0,cast_as_carrier_subset(X0))
| ~ top_str(X0)
| ~ topological_space(X0) ),
inference(subsumption_resolution,[],[f2578,f508]) ).
fof(f2578,plain,
! [X0] :
( ~ nowhere_dense(cast_as_carrier_subset(X0),X0)
| ~ open_subset(cast_as_carrier_subset(X0),X0)
| sP4(X0,cast_as_carrier_subset(X0))
| ~ top_str(X0)
| ~ topological_space(X0)
| ~ one_sorted_str(X0) ),
inference(resolution,[],[f612,f513]) ).
fof(f2577,plain,
! [X0,X1] :
( ~ nowhere_dense(X0,X1)
| ~ open_subset(X0,X1)
| sP4(X1,X0)
| ~ top_str(X1)
| ~ topological_space(X1)
| ~ in(X0,powerset(the_carrier(X1))) ),
inference(resolution,[],[f612,f641]) ).
fof(f2576,plain,
! [X0,X1] :
( ~ nowhere_dense(X0,X1)
| ~ open_subset(X0,X1)
| sP4(X1,X0)
| ~ top_str(X1)
| ~ topological_space(X1)
| ~ subset(X0,the_carrier(X1)) ),
inference(resolution,[],[f612,f654]) ).
fof(f2575,plain,
! [X0,X1] :
( ~ nowhere_dense(X0,X1)
| ~ open_subset(X0,X1)
| sP4(X1,X0)
| ~ top_str(X1)
| ~ topological_space(X1)
| ~ in(X0,sK30(the_carrier(X1))) ),
inference(resolution,[],[f612,f1156]) ).
fof(f612,plain,
! [X0,X1] :
( ~ element(X1,powerset(the_carrier(X0)))
| ~ nowhere_dense(X1,X0)
| ~ open_subset(X1,X0)
| sP4(X0,X1)
| ~ top_str(X0)
| ~ topological_space(X0) ),
inference(cnf_transformation,[],[f330]) ).
fof(f330,plain,
! [X0] :
( ! [X1] :
( sP4(X0,X1)
| ~ nowhere_dense(X1,X0)
| ~ open_subset(X1,X0)
| ~ element(X1,powerset(the_carrier(X0))) )
| ~ top_str(X0)
| ~ topological_space(X0) ),
inference(definition_folding,[],[f278,f329]) ).
fof(f329,plain,
! [X0,X1] :
( ( nowhere_dense(X1,X0)
& boundary_set(X1,X0)
& closed_subset(X1,X0)
& open_subset(X1,X0)
& empty(X1) )
| ~ sP4(X0,X1) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP4])]) ).
fof(f278,plain,
! [X0] :
( ! [X1] :
( ( nowhere_dense(X1,X0)
& boundary_set(X1,X0)
& closed_subset(X1,X0)
& open_subset(X1,X0)
& empty(X1) )
| ~ nowhere_dense(X1,X0)
| ~ open_subset(X1,X0)
| ~ element(X1,powerset(the_carrier(X0))) )
| ~ top_str(X0)
| ~ topological_space(X0) ),
inference(flattening,[],[f277]) ).
fof(f277,plain,
! [X0] :
( ! [X1] :
( ( nowhere_dense(X1,X0)
& boundary_set(X1,X0)
& closed_subset(X1,X0)
& open_subset(X1,X0)
& empty(X1) )
| ~ nowhere_dense(X1,X0)
| ~ open_subset(X1,X0)
| ~ element(X1,powerset(the_carrier(X0))) )
| ~ top_str(X0)
| ~ topological_space(X0) ),
inference(ennf_transformation,[],[f179]) ).
fof(f179,plain,
! [X0] :
( ( top_str(X0)
& topological_space(X0) )
=> ! [X1] :
( element(X1,powerset(the_carrier(X0)))
=> ( ( nowhere_dense(X1,X0)
& open_subset(X1,X0) )
=> ( nowhere_dense(X1,X0)
& boundary_set(X1,X0)
& closed_subset(X1,X0)
& open_subset(X1,X0)
& empty(X1) ) ) ) ),
inference(pure_predicate_removal,[],[f177]) ).
fof(f177,plain,
! [X0] :
( ( top_str(X0)
& topological_space(X0) )
=> ! [X1] :
( element(X1,powerset(the_carrier(X0)))
=> ( ( nowhere_dense(X1,X0)
& open_subset(X1,X0) )
=> ( nowhere_dense(X1,X0)
& boundary_set(X1,X0)
& v1_membered(X1)
& closed_subset(X1,X0)
& open_subset(X1,X0)
& empty(X1) ) ) ) ),
inference(pure_predicate_removal,[],[f173]) ).
fof(f173,plain,
! [X0] :
( ( top_str(X0)
& topological_space(X0) )
=> ! [X1] :
( element(X1,powerset(the_carrier(X0)))
=> ( ( nowhere_dense(X1,X0)
& open_subset(X1,X0) )
=> ( nowhere_dense(X1,X0)
& boundary_set(X1,X0)
& v2_membered(X1)
& v1_membered(X1)
& closed_subset(X1,X0)
& open_subset(X1,X0)
& empty(X1) ) ) ) ),
inference(pure_predicate_removal,[],[f171]) ).
fof(f171,plain,
! [X0] :
( ( top_str(X0)
& topological_space(X0) )
=> ! [X1] :
( element(X1,powerset(the_carrier(X0)))
=> ( ( nowhere_dense(X1,X0)
& open_subset(X1,X0) )
=> ( nowhere_dense(X1,X0)
& boundary_set(X1,X0)
& v3_membered(X1)
& v2_membered(X1)
& v1_membered(X1)
& closed_subset(X1,X0)
& open_subset(X1,X0)
& empty(X1) ) ) ) ),
inference(pure_predicate_removal,[],[f167]) ).
fof(f167,plain,
! [X0] :
( ( top_str(X0)
& topological_space(X0) )
=> ! [X1] :
( element(X1,powerset(the_carrier(X0)))
=> ( ( nowhere_dense(X1,X0)
& open_subset(X1,X0) )
=> ( nowhere_dense(X1,X0)
& boundary_set(X1,X0)
& v4_membered(X1)
& v3_membered(X1)
& v2_membered(X1)
& v1_membered(X1)
& closed_subset(X1,X0)
& open_subset(X1,X0)
& empty(X1) ) ) ) ),
inference(pure_predicate_removal,[],[f25]) ).
fof(f25,axiom,
! [X0] :
( ( top_str(X0)
& topological_space(X0) )
=> ! [X1] :
( element(X1,powerset(the_carrier(X0)))
=> ( ( nowhere_dense(X1,X0)
& open_subset(X1,X0) )
=> ( nowhere_dense(X1,X0)
& boundary_set(X1,X0)
& v5_membered(X1)
& v4_membered(X1)
& v3_membered(X1)
& v2_membered(X1)
& v1_membered(X1)
& closed_subset(X1,X0)
& open_subset(X1,X0)
& empty(X1) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc6_tops_1) ).
fof(f2571,plain,
! [X0] :
( ~ empty(X0)
| empty_set = sK28(sK10(powerset(sK28(sK10(sK9(powerset(X0))))))) ),
inference(resolution,[],[f2546,f1475]) ).
fof(f2570,plain,
! [X0] :
( ~ empty(X0)
| empty_set = sK28(sK9(sK30(sK28(sK10(sK9(powerset(X0))))))) ),
inference(resolution,[],[f2546,f1331]) ).
fof(f2569,plain,
! [X0] :
( ~ empty(X0)
| empty_set = sK28(sK9(powerset(sK28(sK10(sK9(powerset(X0))))))) ),
inference(resolution,[],[f2546,f1287]) ).
fof(f2568,plain,
! [X0] :
( ~ empty(X0)
| empty_set = sK28(sK30(sK28(sK10(sK9(powerset(X0)))))) ),
inference(resolution,[],[f2546,f1209]) ).
fof(f2567,plain,
! [X0] :
( ~ empty(X0)
| empty_set = sK28(powerset(sK28(powerset(sK28(sK10(sK9(powerset(X0)))))))) ),
inference(resolution,[],[f2546,f1024]) ).
fof(f2566,plain,
! [X0] :
( ~ empty(X0)
| empty_set = sK28(powerset(sK28(sK10(sK9(powerset(X0)))))) ),
inference(resolution,[],[f2546,f1020]) ).
fof(f2565,plain,
! [X0,X1] :
( ~ empty(X0)
| sK28(powerset(X1)) = sK28(sK10(sK9(powerset(X0))))
| ~ empty(X1) ),
inference(resolution,[],[f2546,f1019]) ).
fof(f2564,plain,
! [X0,X1] :
( ~ empty(X0)
| sK28(sK10(sK9(powerset(X0)))) = X1
| ~ empty(X1) ),
inference(resolution,[],[f2546,f655]) ).
fof(f2563,plain,
! [X0] :
( ~ empty(X0)
| empty_set = sK28(sK10(sK9(powerset(X0)))) ),
inference(resolution,[],[f2546,f574]) ).
fof(f2546,plain,
! [X0] :
( empty(sK28(sK10(sK9(powerset(X0)))))
| ~ empty(X0) ),
inference(resolution,[],[f1500,f874]) ).
fof(f2560,plain,
! [X0,X1] :
( ~ empty(X0)
| in(sK32(sK28(sK10(sK9(powerset(X0)))),X1),X1)
| sK28(sK10(sK9(powerset(X0)))) = X1 ),
inference(resolution,[],[f1500,f652]) ).
fof(f2559,plain,
! [X0,X1] :
( ~ empty(X0)
| in(sK32(X1,sK28(sK10(sK9(powerset(X0))))),X1)
| sK28(sK10(sK9(powerset(X0)))) = X1 ),
inference(resolution,[],[f1500,f652]) ).
fof(f2558,plain,
! [X0] :
( ~ empty(X0)
| empty(sK28(sK10(sK9(powerset(X0))))) ),
inference(resolution,[],[f1500,f1971]) ).
fof(f2557,plain,
! [X0] :
( ~ empty(X0)
| empty(sK28(sK10(sK9(powerset(X0))))) ),
inference(resolution,[],[f1500,f1959]) ).
fof(f2556,plain,
! [X0] :
( ~ empty(X0)
| empty(sK28(sK10(sK9(powerset(X0))))) ),
inference(resolution,[],[f1500,f1947]) ).
fof(f2555,plain,
! [X0] :
( ~ empty(X0)
| empty(sK28(sK10(sK9(powerset(X0))))) ),
inference(resolution,[],[f1500,f1803]) ).
fof(f2554,plain,
! [X0] :
( ~ empty(X0)
| empty(sK28(sK10(sK9(powerset(X0))))) ),
inference(resolution,[],[f1500,f1935]) ).
fof(f2553,plain,
! [X0] :
( ~ empty(X0)
| empty(sK28(sK10(sK9(powerset(X0))))) ),
inference(resolution,[],[f1500,f1508]) ).
fof(f2552,plain,
! [X0] :
( ~ empty(X0)
| empty(sK28(sK10(sK9(powerset(X0))))) ),
inference(resolution,[],[f1500,f1498]) ).
fof(f2551,plain,
! [X0] :
( ~ empty(X0)
| empty(sK28(sK10(sK9(powerset(X0))))) ),
inference(resolution,[],[f1500,f1430]) ).
fof(f2550,plain,
! [X0] :
( ~ empty(X0)
| empty(sK28(sK10(sK9(powerset(X0))))) ),
inference(resolution,[],[f1500,f1874]) ).
fof(f2549,plain,
! [X0] :
( ~ empty(X0)
| empty(sK28(sK10(sK9(powerset(X0))))) ),
inference(resolution,[],[f1500,f1488]) ).
fof(f2548,plain,
! [X0] :
( ~ empty(X0)
| empty(sK28(sK10(sK9(powerset(X0))))) ),
inference(resolution,[],[f1500,f1319]) ).
fof(f2547,plain,
! [X0] :
( ~ empty(X0)
| empty(sK28(sK10(sK9(powerset(X0))))) ),
inference(resolution,[],[f1500,f1251]) ).
fof(f1500,plain,
! [X0,X1] :
( ~ in(X1,sK28(sK10(sK9(powerset(X0)))))
| ~ empty(X0) ),
inference(subsumption_resolution,[],[f1494,f440]) ).
fof(f1494,plain,
! [X0,X1] :
( empty(powerset(X0))
| ~ empty(X0)
| ~ in(X1,sK28(sK10(sK9(powerset(X0))))) ),
inference(resolution,[],[f1456,f666]) ).
fof(f2545,plain,
! [X0] :
( ~ up_complete_relstr(X0)
| ~ lower_bounded_relstr(X0)
| ~ with_suprema_relstr(X0)
| ~ antisymmetric_relstr(X0)
| ~ transitive_relstr(X0)
| ~ reflexive_relstr(X0)
| ~ rel_str(X0)
| with_infima_relstr(X0) ),
inference(resolution,[],[f2512,f550]) ).
fof(f2544,plain,
! [X0] :
( ~ up_complete_relstr(X0)
| ~ lower_bounded_relstr(X0)
| ~ with_suprema_relstr(X0)
| ~ antisymmetric_relstr(X0)
| ~ transitive_relstr(X0)
| ~ reflexive_relstr(X0)
| ~ rel_str(X0)
| complete_relstr(X0) ),
inference(resolution,[],[f2512,f551]) ).
fof(f2542,plain,
! [X0] :
( ~ up_complete_relstr(X0)
| ~ lower_bounded_relstr(X0)
| ~ with_suprema_relstr(X0)
| ~ antisymmetric_relstr(X0)
| ~ transitive_relstr(X0)
| ~ reflexive_relstr(X0)
| ~ rel_str(X0)
| bounded_relstr(X0) ),
inference(resolution,[],[f2512,f554]) ).
fof(f2512,plain,
! [X0] :
( sP2(X0)
| ~ up_complete_relstr(X0)
| ~ lower_bounded_relstr(X0)
| ~ with_suprema_relstr(X0)
| ~ antisymmetric_relstr(X0)
| ~ transitive_relstr(X0)
| ~ reflexive_relstr(X0)
| ~ rel_str(X0) ),
inference(subsumption_resolution,[],[f555,f524]) ).
fof(f2538,plain,
! [X0] :
( ~ empty(X0)
| empty_set = sK28(sK10(powerset(sK28(sK9(sK10(powerset(X0))))))) ),
inference(resolution,[],[f2513,f1475]) ).
fof(f2537,plain,
! [X0] :
( ~ empty(X0)
| empty_set = sK28(sK9(sK30(sK28(sK9(sK10(powerset(X0))))))) ),
inference(resolution,[],[f2513,f1331]) ).
fof(f2536,plain,
! [X0] :
( ~ empty(X0)
| empty_set = sK28(sK9(powerset(sK28(sK9(sK10(powerset(X0))))))) ),
inference(resolution,[],[f2513,f1287]) ).
fof(f2535,plain,
! [X0] :
( ~ empty(X0)
| empty_set = sK28(sK30(sK28(sK9(sK10(powerset(X0)))))) ),
inference(resolution,[],[f2513,f1209]) ).
fof(f2534,plain,
! [X0] :
( ~ empty(X0)
| empty_set = sK28(powerset(sK28(powerset(sK28(sK9(sK10(powerset(X0)))))))) ),
inference(resolution,[],[f2513,f1024]) ).
fof(f2533,plain,
! [X0] :
( ~ empty(X0)
| empty_set = sK28(powerset(sK28(sK9(sK10(powerset(X0)))))) ),
inference(resolution,[],[f2513,f1020]) ).
fof(f2532,plain,
! [X0,X1] :
( ~ empty(X0)
| sK28(powerset(X1)) = sK28(sK9(sK10(powerset(X0))))
| ~ empty(X1) ),
inference(resolution,[],[f2513,f1019]) ).
fof(f2531,plain,
! [X0,X1] :
( ~ empty(X0)
| sK28(sK9(sK10(powerset(X0)))) = X1
| ~ empty(X1) ),
inference(resolution,[],[f2513,f655]) ).
fof(f2530,plain,
! [X0] :
( ~ empty(X0)
| empty_set = sK28(sK9(sK10(powerset(X0)))) ),
inference(resolution,[],[f2513,f574]) ).
fof(f2513,plain,
! [X0] :
( empty(sK28(sK9(sK10(powerset(X0)))))
| ~ empty(X0) ),
inference(resolution,[],[f1490,f874]) ).
fof(f2527,plain,
! [X0,X1] :
( ~ empty(X0)
| in(sK32(sK28(sK9(sK10(powerset(X0)))),X1),X1)
| sK28(sK9(sK10(powerset(X0)))) = X1 ),
inference(resolution,[],[f1490,f652]) ).
fof(f2526,plain,
! [X0,X1] :
( ~ empty(X0)
| in(sK32(X1,sK28(sK9(sK10(powerset(X0))))),X1)
| sK28(sK9(sK10(powerset(X0)))) = X1 ),
inference(resolution,[],[f1490,f652]) ).
fof(f2525,plain,
! [X0] :
( ~ empty(X0)
| empty(sK28(sK9(sK10(powerset(X0))))) ),
inference(resolution,[],[f1490,f1971]) ).
fof(f2524,plain,
! [X0] :
( ~ empty(X0)
| empty(sK28(sK9(sK10(powerset(X0))))) ),
inference(resolution,[],[f1490,f1959]) ).
fof(f2523,plain,
! [X0] :
( ~ empty(X0)
| empty(sK28(sK9(sK10(powerset(X0))))) ),
inference(resolution,[],[f1490,f1947]) ).
fof(f2522,plain,
! [X0] :
( ~ empty(X0)
| empty(sK28(sK9(sK10(powerset(X0))))) ),
inference(resolution,[],[f1490,f1803]) ).
fof(f2521,plain,
! [X0] :
( ~ empty(X0)
| empty(sK28(sK9(sK10(powerset(X0))))) ),
inference(resolution,[],[f1490,f1935]) ).
fof(f2520,plain,
! [X0] :
( ~ empty(X0)
| empty(sK28(sK9(sK10(powerset(X0))))) ),
inference(resolution,[],[f1490,f1508]) ).
fof(f2519,plain,
! [X0] :
( ~ empty(X0)
| empty(sK28(sK9(sK10(powerset(X0))))) ),
inference(resolution,[],[f1490,f1498]) ).
fof(f2518,plain,
! [X0] :
( ~ empty(X0)
| empty(sK28(sK9(sK10(powerset(X0))))) ),
inference(resolution,[],[f1490,f1430]) ).
fof(f2517,plain,
! [X0] :
( ~ empty(X0)
| empty(sK28(sK9(sK10(powerset(X0))))) ),
inference(resolution,[],[f1490,f1874]) ).
fof(f2516,plain,
! [X0] :
( ~ empty(X0)
| empty(sK28(sK9(sK10(powerset(X0))))) ),
inference(resolution,[],[f1490,f1488]) ).
fof(f2515,plain,
! [X0] :
( ~ empty(X0)
| empty(sK28(sK9(sK10(powerset(X0))))) ),
inference(resolution,[],[f1490,f1319]) ).
fof(f2514,plain,
! [X0] :
( ~ empty(X0)
| empty(sK28(sK9(sK10(powerset(X0))))) ),
inference(resolution,[],[f1490,f1251]) ).
fof(f1490,plain,
! [X0,X1] :
( ~ in(X1,sK28(sK9(sK10(powerset(X0)))))
| ~ empty(X0) ),
inference(subsumption_resolution,[],[f1484,f440]) ).
fof(f1484,plain,
! [X0,X1] :
( empty(powerset(X0))
| ~ empty(X0)
| ~ in(X1,sK28(sK9(sK10(powerset(X0))))) ),
inference(resolution,[],[f1423,f666]) ).
fof(f2508,plain,
! [X0] :
( ~ empty(X0)
| empty_set = sK28(sK10(powerset(sK28(sK9(sK9(powerset(X0))))))) ),
inference(resolution,[],[f2483,f1475]) ).
fof(f2507,plain,
! [X0] :
( ~ empty(X0)
| empty_set = sK28(sK9(sK30(sK28(sK9(sK9(powerset(X0))))))) ),
inference(resolution,[],[f2483,f1331]) ).
fof(f2506,plain,
! [X0] :
( ~ empty(X0)
| empty_set = sK28(sK9(powerset(sK28(sK9(sK9(powerset(X0))))))) ),
inference(resolution,[],[f2483,f1287]) ).
fof(f2505,plain,
! [X0] :
( ~ empty(X0)
| empty_set = sK28(sK30(sK28(sK9(sK9(powerset(X0)))))) ),
inference(resolution,[],[f2483,f1209]) ).
fof(f2504,plain,
! [X0] :
( ~ empty(X0)
| empty_set = sK28(powerset(sK28(powerset(sK28(sK9(sK9(powerset(X0)))))))) ),
inference(resolution,[],[f2483,f1024]) ).
fof(f2503,plain,
! [X0] :
( ~ empty(X0)
| empty_set = sK28(powerset(sK28(sK9(sK9(powerset(X0)))))) ),
inference(resolution,[],[f2483,f1020]) ).
fof(f2502,plain,
! [X0,X1] :
( ~ empty(X0)
| sK28(powerset(X1)) = sK28(sK9(sK9(powerset(X0))))
| ~ empty(X1) ),
inference(resolution,[],[f2483,f1019]) ).
fof(f2501,plain,
! [X0,X1] :
( ~ empty(X0)
| sK28(sK9(sK9(powerset(X0)))) = X1
| ~ empty(X1) ),
inference(resolution,[],[f2483,f655]) ).
fof(f2500,plain,
! [X0] :
( ~ empty(X0)
| empty_set = sK28(sK9(sK9(powerset(X0)))) ),
inference(resolution,[],[f2483,f574]) ).
fof(f2483,plain,
! [X0] :
( empty(sK28(sK9(sK9(powerset(X0)))))
| ~ empty(X0) ),
inference(resolution,[],[f1321,f874]) ).
fof(f2497,plain,
! [X0,X1] :
( ~ empty(X0)
| in(sK32(sK28(sK9(sK9(powerset(X0)))),X1),X1)
| sK28(sK9(sK9(powerset(X0)))) = X1 ),
inference(resolution,[],[f1321,f652]) ).
fof(f2496,plain,
! [X0,X1] :
( ~ empty(X0)
| in(sK32(X1,sK28(sK9(sK9(powerset(X0))))),X1)
| sK28(sK9(sK9(powerset(X0)))) = X1 ),
inference(resolution,[],[f1321,f652]) ).
fof(f2495,plain,
! [X0] :
( ~ empty(X0)
| empty(sK28(sK9(sK9(powerset(X0))))) ),
inference(resolution,[],[f1321,f1971]) ).
fof(f2494,plain,
! [X0] :
( ~ empty(X0)
| empty(sK28(sK9(sK9(powerset(X0))))) ),
inference(resolution,[],[f1321,f1959]) ).
fof(f2493,plain,
! [X0] :
( ~ empty(X0)
| empty(sK28(sK9(sK9(powerset(X0))))) ),
inference(resolution,[],[f1321,f1947]) ).
fof(f2492,plain,
! [X0] :
( ~ empty(X0)
| empty(sK28(sK9(sK9(powerset(X0))))) ),
inference(resolution,[],[f1321,f1803]) ).
fof(f2491,plain,
! [X0] :
( ~ empty(X0)
| empty(sK28(sK9(sK9(powerset(X0))))) ),
inference(resolution,[],[f1321,f1935]) ).
fof(f2490,plain,
! [X0] :
( ~ empty(X0)
| empty(sK28(sK9(sK9(powerset(X0))))) ),
inference(resolution,[],[f1321,f1508]) ).
fof(f2489,plain,
! [X0] :
( ~ empty(X0)
| empty(sK28(sK9(sK9(powerset(X0))))) ),
inference(resolution,[],[f1321,f1498]) ).
fof(f2488,plain,
! [X0] :
( ~ empty(X0)
| empty(sK28(sK9(sK9(powerset(X0))))) ),
inference(resolution,[],[f1321,f1430]) ).
fof(f2487,plain,
! [X0] :
( ~ empty(X0)
| empty(sK28(sK9(sK9(powerset(X0))))) ),
inference(resolution,[],[f1321,f1874]) ).
fof(f2486,plain,
! [X0] :
( ~ empty(X0)
| empty(sK28(sK9(sK9(powerset(X0))))) ),
inference(resolution,[],[f1321,f1488]) ).
fof(f2485,plain,
! [X0] :
( ~ empty(X0)
| empty(sK28(sK9(sK9(powerset(X0))))) ),
inference(resolution,[],[f1321,f1319]) ).
fof(f2484,plain,
! [X0] :
( ~ empty(X0)
| empty(sK28(sK9(sK9(powerset(X0))))) ),
inference(resolution,[],[f1321,f1251]) ).
fof(f1321,plain,
! [X0,X1] :
( ~ in(X1,sK28(sK9(sK9(powerset(X0)))))
| ~ empty(X0) ),
inference(subsumption_resolution,[],[f1315,f440]) ).
fof(f1315,plain,
! [X0,X1] :
( empty(powerset(X0))
| ~ empty(X0)
| ~ in(X1,sK28(sK9(sK9(powerset(X0))))) ),
inference(resolution,[],[f1273,f666]) ).
fof(f2479,plain,
! [X0,X1] :
( element(sK32(sK28(sK11(powerset(X0))),X1),X0)
| in(sK32(sK28(sK11(powerset(X0))),X1),X1)
| sK28(sK11(powerset(X0))) = X1 ),
inference(resolution,[],[f1804,f652]) ).
fof(f2478,plain,
! [X0,X1] :
( element(sK32(X0,sK28(sK11(powerset(X1)))),X1)
| in(sK32(X0,sK28(sK11(powerset(X1)))),X0)
| sK28(sK11(powerset(X1))) = X0 ),
inference(resolution,[],[f1804,f652]) ).
fof(f2477,plain,
! [X0] :
( element(sK28(sK11(sK11(sK28(sK11(powerset(X0)))))),X0)
| empty(sK28(sK11(powerset(X0)))) ),
inference(resolution,[],[f1804,f1971]) ).
fof(f2476,plain,
! [X0] :
( element(sK28(sK11(sK10(sK28(sK11(powerset(X0)))))),X0)
| empty(sK28(sK11(powerset(X0)))) ),
inference(resolution,[],[f1804,f1959]) ).
fof(f2475,plain,
! [X0] :
( element(sK28(sK11(sK9(sK28(sK11(powerset(X0)))))),X0)
| empty(sK28(sK11(powerset(X0)))) ),
inference(resolution,[],[f1804,f1947]) ).
fof(f2474,plain,
! [X0] :
( element(sK28(sK11(sK28(sK11(powerset(X0))))),X0)
| empty(sK28(sK11(powerset(X0)))) ),
inference(resolution,[],[f1804,f1803]) ).
fof(f2473,plain,
! [X0] :
( element(sK28(sK10(sK11(sK28(sK11(powerset(X0)))))),X0)
| empty(sK28(sK11(powerset(X0)))) ),
inference(resolution,[],[f1804,f1935]) ).
fof(f2472,plain,
! [X0] :
( element(sK28(sK10(sK10(sK28(sK11(powerset(X0)))))),X0)
| empty(sK28(sK11(powerset(X0)))) ),
inference(resolution,[],[f1804,f1508]) ).
fof(f2471,plain,
! [X0] :
( element(sK28(sK10(sK9(sK28(sK11(powerset(X0)))))),X0)
| empty(sK28(sK11(powerset(X0)))) ),
inference(resolution,[],[f1804,f1498]) ).
fof(f2470,plain,
! [X0] :
( element(sK28(sK10(sK28(sK11(powerset(X0))))),X0)
| empty(sK28(sK11(powerset(X0)))) ),
inference(resolution,[],[f1804,f1430]) ).
fof(f2469,plain,
! [X0] :
( element(sK28(sK9(sK11(sK28(sK11(powerset(X0)))))),X0)
| empty(sK28(sK11(powerset(X0)))) ),
inference(resolution,[],[f1804,f1874]) ).
fof(f2468,plain,
! [X0] :
( element(sK28(sK9(sK10(sK28(sK11(powerset(X0)))))),X0)
| empty(sK28(sK11(powerset(X0)))) ),
inference(resolution,[],[f1804,f1488]) ).
fof(f2467,plain,
! [X0] :
( element(sK28(sK9(sK9(sK28(sK11(powerset(X0)))))),X0)
| empty(sK28(sK11(powerset(X0)))) ),
inference(resolution,[],[f1804,f1319]) ).
fof(f2466,plain,
! [X0] :
( element(sK28(sK9(sK28(sK11(powerset(X0))))),X0)
| empty(sK28(sK11(powerset(X0)))) ),
inference(resolution,[],[f1804,f1251]) ).
fof(f2465,plain,
! [X0] :
( element(sK28(sK28(sK11(powerset(X0)))),X0)
| empty(sK28(sK11(powerset(X0)))) ),
inference(resolution,[],[f1804,f874]) ).
fof(f1804,plain,
! [X0,X1] :
( ~ in(X1,sK28(sK11(powerset(X0))))
| element(X1,X0) ),
inference(subsumption_resolution,[],[f1798,f440]) ).
fof(f1798,plain,
! [X0,X1] :
( empty(powerset(X0))
| element(X1,X0)
| ~ in(X1,sK28(sK11(powerset(X0)))) ),
inference(resolution,[],[f1791,f663]) ).
fof(f2461,plain,
! [X0,X1] :
( element(sK32(sK28(sK10(powerset(X0))),X1),X0)
| in(sK32(sK28(sK10(powerset(X0))),X1),X1)
| sK28(sK10(powerset(X0))) = X1 ),
inference(resolution,[],[f1431,f652]) ).
fof(f2460,plain,
! [X0,X1] :
( element(sK32(X0,sK28(sK10(powerset(X1)))),X1)
| in(sK32(X0,sK28(sK10(powerset(X1)))),X0)
| sK28(sK10(powerset(X1))) = X0 ),
inference(resolution,[],[f1431,f652]) ).
fof(f2459,plain,
! [X0] :
( element(sK28(sK11(sK11(sK28(sK10(powerset(X0)))))),X0)
| empty(sK28(sK10(powerset(X0)))) ),
inference(resolution,[],[f1431,f1971]) ).
fof(f2458,plain,
! [X0] :
( element(sK28(sK11(sK10(sK28(sK10(powerset(X0)))))),X0)
| empty(sK28(sK10(powerset(X0)))) ),
inference(resolution,[],[f1431,f1959]) ).
fof(f2457,plain,
! [X0] :
( element(sK28(sK11(sK9(sK28(sK10(powerset(X0)))))),X0)
| empty(sK28(sK10(powerset(X0)))) ),
inference(resolution,[],[f1431,f1947]) ).
fof(f2456,plain,
! [X0] :
( element(sK28(sK11(sK28(sK10(powerset(X0))))),X0)
| empty(sK28(sK10(powerset(X0)))) ),
inference(resolution,[],[f1431,f1803]) ).
fof(f2455,plain,
! [X0] :
( element(sK28(sK10(sK11(sK28(sK10(powerset(X0)))))),X0)
| empty(sK28(sK10(powerset(X0)))) ),
inference(resolution,[],[f1431,f1935]) ).
fof(f2454,plain,
! [X0] :
( element(sK28(sK10(sK10(sK28(sK10(powerset(X0)))))),X0)
| empty(sK28(sK10(powerset(X0)))) ),
inference(resolution,[],[f1431,f1508]) ).
fof(f2453,plain,
! [X0] :
( element(sK28(sK10(sK9(sK28(sK10(powerset(X0)))))),X0)
| empty(sK28(sK10(powerset(X0)))) ),
inference(resolution,[],[f1431,f1498]) ).
fof(f2452,plain,
! [X0] :
( element(sK28(sK10(sK28(sK10(powerset(X0))))),X0)
| empty(sK28(sK10(powerset(X0)))) ),
inference(resolution,[],[f1431,f1430]) ).
fof(f2451,plain,
! [X0] :
( element(sK28(sK9(sK11(sK28(sK10(powerset(X0)))))),X0)
| empty(sK28(sK10(powerset(X0)))) ),
inference(resolution,[],[f1431,f1874]) ).
fof(f2450,plain,
! [X0] :
( element(sK28(sK9(sK10(sK28(sK10(powerset(X0)))))),X0)
| empty(sK28(sK10(powerset(X0)))) ),
inference(resolution,[],[f1431,f1488]) ).
fof(f2449,plain,
! [X0] :
( element(sK28(sK9(sK9(sK28(sK10(powerset(X0)))))),X0)
| empty(sK28(sK10(powerset(X0)))) ),
inference(resolution,[],[f1431,f1319]) ).
fof(f2448,plain,
! [X0] :
( element(sK28(sK9(sK28(sK10(powerset(X0))))),X0)
| empty(sK28(sK10(powerset(X0)))) ),
inference(resolution,[],[f1431,f1251]) ).
fof(f2447,plain,
! [X0] :
( element(sK28(sK28(sK10(powerset(X0)))),X0)
| empty(sK28(sK10(powerset(X0)))) ),
inference(resolution,[],[f1431,f874]) ).
fof(f1431,plain,
! [X0,X1] :
( ~ in(X1,sK28(sK10(powerset(X0))))
| element(X1,X0) ),
inference(subsumption_resolution,[],[f1425,f440]) ).
fof(f1425,plain,
! [X0,X1] :
( empty(powerset(X0))
| element(X1,X0)
| ~ in(X1,sK28(sK10(powerset(X0)))) ),
inference(resolution,[],[f1422,f663]) ).
fof(f2446,plain,
! [X0] :
( neighborhood_system(X0,sK28(sK11(sK11(the_carrier(X0))))) = a_2_0_yellow19(X0,sK28(sK11(sK11(the_carrier(X0)))))
| ~ top_str(X0)
| ~ topological_space(X0)
| empty_carrier(X0) ),
inference(subsumption_resolution,[],[f2431,f1417]) ).
fof(f2431,plain,
! [X0] :
( neighborhood_system(X0,sK28(sK11(sK11(the_carrier(X0))))) = a_2_0_yellow19(X0,sK28(sK11(sK11(the_carrier(X0)))))
| ~ top_str(X0)
| ~ topological_space(X0)
| empty_carrier(X0)
| empty(the_carrier(X0)) ),
inference(resolution,[],[f575,f1834]) ).
fof(f2445,plain,
! [X0] :
( neighborhood_system(X0,sK28(sK11(sK10(the_carrier(X0))))) = a_2_0_yellow19(X0,sK28(sK11(sK10(the_carrier(X0)))))
| ~ top_str(X0)
| ~ topological_space(X0)
| empty_carrier(X0) ),
inference(subsumption_resolution,[],[f2430,f1417]) ).
fof(f2430,plain,
! [X0] :
( neighborhood_system(X0,sK28(sK11(sK10(the_carrier(X0))))) = a_2_0_yellow19(X0,sK28(sK11(sK10(the_carrier(X0)))))
| ~ top_str(X0)
| ~ topological_space(X0)
| empty_carrier(X0)
| empty(the_carrier(X0)) ),
inference(resolution,[],[f575,f1833]) ).
fof(f2444,plain,
! [X0] :
( neighborhood_system(X0,sK28(sK11(sK9(the_carrier(X0))))) = a_2_0_yellow19(X0,sK28(sK11(sK9(the_carrier(X0)))))
| ~ top_str(X0)
| ~ topological_space(X0)
| empty_carrier(X0) ),
inference(subsumption_resolution,[],[f2429,f1417]) ).
fof(f2429,plain,
! [X0] :
( neighborhood_system(X0,sK28(sK11(sK9(the_carrier(X0))))) = a_2_0_yellow19(X0,sK28(sK11(sK9(the_carrier(X0)))))
| ~ top_str(X0)
| ~ topological_space(X0)
| empty_carrier(X0)
| empty(the_carrier(X0)) ),
inference(resolution,[],[f575,f1832]) ).
fof(f2443,plain,
! [X0] :
( neighborhood_system(X0,sK28(sK11(the_carrier(X0)))) = a_2_0_yellow19(X0,sK28(sK11(the_carrier(X0))))
| ~ top_str(X0)
| ~ topological_space(X0)
| empty_carrier(X0) ),
inference(subsumption_resolution,[],[f2428,f1417]) ).
fof(f2428,plain,
! [X0] :
( neighborhood_system(X0,sK28(sK11(the_carrier(X0)))) = a_2_0_yellow19(X0,sK28(sK11(the_carrier(X0))))
| ~ top_str(X0)
| ~ topological_space(X0)
| empty_carrier(X0)
| empty(the_carrier(X0)) ),
inference(resolution,[],[f575,f1791]) ).
fof(f2442,plain,
! [X0] :
( neighborhood_system(X0,sK28(sK10(sK11(the_carrier(X0))))) = a_2_0_yellow19(X0,sK28(sK10(sK11(the_carrier(X0)))))
| ~ top_str(X0)
| ~ topological_space(X0)
| empty_carrier(X0) ),
inference(subsumption_resolution,[],[f2427,f1417]) ).
fof(f2427,plain,
! [X0] :
( neighborhood_system(X0,sK28(sK10(sK11(the_carrier(X0))))) = a_2_0_yellow19(X0,sK28(sK10(sK11(the_carrier(X0)))))
| ~ top_str(X0)
| ~ topological_space(X0)
| empty_carrier(X0)
| empty(the_carrier(X0)) ),
inference(resolution,[],[f575,f1795]) ).
fof(f2441,plain,
! [X0] :
( neighborhood_system(X0,sK28(sK10(sK10(the_carrier(X0))))) = a_2_0_yellow19(X0,sK28(sK10(sK10(the_carrier(X0)))))
| ~ top_str(X0)
| ~ topological_space(X0)
| empty_carrier(X0) ),
inference(subsumption_resolution,[],[f2426,f1417]) ).
fof(f2426,plain,
! [X0] :
( neighborhood_system(X0,sK28(sK10(sK10(the_carrier(X0))))) = a_2_0_yellow19(X0,sK28(sK10(sK10(the_carrier(X0)))))
| ~ top_str(X0)
| ~ topological_space(X0)
| empty_carrier(X0)
| empty(the_carrier(X0)) ),
inference(resolution,[],[f575,f1457]) ).
fof(f2440,plain,
! [X0] :
( neighborhood_system(X0,sK28(sK10(sK9(the_carrier(X0))))) = a_2_0_yellow19(X0,sK28(sK10(sK9(the_carrier(X0)))))
| ~ top_str(X0)
| ~ topological_space(X0)
| empty_carrier(X0) ),
inference(subsumption_resolution,[],[f2425,f1417]) ).
fof(f2425,plain,
! [X0] :
( neighborhood_system(X0,sK28(sK10(sK9(the_carrier(X0))))) = a_2_0_yellow19(X0,sK28(sK10(sK9(the_carrier(X0)))))
| ~ top_str(X0)
| ~ topological_space(X0)
| empty_carrier(X0)
| empty(the_carrier(X0)) ),
inference(resolution,[],[f575,f1456]) ).
fof(f2439,plain,
! [X0] :
( neighborhood_system(X0,sK28(sK10(the_carrier(X0)))) = a_2_0_yellow19(X0,sK28(sK10(the_carrier(X0))))
| ~ top_str(X0)
| ~ topological_space(X0)
| empty_carrier(X0) ),
inference(subsumption_resolution,[],[f2424,f1417]) ).
fof(f2424,plain,
! [X0] :
( neighborhood_system(X0,sK28(sK10(the_carrier(X0)))) = a_2_0_yellow19(X0,sK28(sK10(the_carrier(X0))))
| ~ top_str(X0)
| ~ topological_space(X0)
| empty_carrier(X0)
| empty(the_carrier(X0)) ),
inference(resolution,[],[f575,f1422]) ).
fof(f2438,plain,
! [X0] :
( neighborhood_system(X0,sK28(sK9(sK11(the_carrier(X0))))) = a_2_0_yellow19(X0,sK28(sK9(sK11(the_carrier(X0)))))
| ~ top_str(X0)
| ~ topological_space(X0)
| empty_carrier(X0) ),
inference(subsumption_resolution,[],[f2423,f1417]) ).
fof(f2423,plain,
! [X0] :
( neighborhood_system(X0,sK28(sK9(sK11(the_carrier(X0))))) = a_2_0_yellow19(X0,sK28(sK9(sK11(the_carrier(X0)))))
| ~ top_str(X0)
| ~ topological_space(X0)
| empty_carrier(X0)
| empty(the_carrier(X0)) ),
inference(resolution,[],[f575,f1792]) ).
fof(f2437,plain,
! [X0] :
( neighborhood_system(X0,sK28(sK9(sK10(the_carrier(X0))))) = a_2_0_yellow19(X0,sK28(sK9(sK10(the_carrier(X0)))))
| ~ top_str(X0)
| ~ topological_space(X0)
| empty_carrier(X0) ),
inference(subsumption_resolution,[],[f2422,f1417]) ).
fof(f2422,plain,
! [X0] :
( neighborhood_system(X0,sK28(sK9(sK10(the_carrier(X0))))) = a_2_0_yellow19(X0,sK28(sK9(sK10(the_carrier(X0)))))
| ~ top_str(X0)
| ~ topological_space(X0)
| empty_carrier(X0)
| empty(the_carrier(X0)) ),
inference(resolution,[],[f575,f1423]) ).
fof(f2436,plain,
! [X0] :
( neighborhood_system(X0,sK28(sK9(sK9(the_carrier(X0))))) = a_2_0_yellow19(X0,sK28(sK9(sK9(the_carrier(X0)))))
| ~ top_str(X0)
| ~ topological_space(X0)
| empty_carrier(X0) ),
inference(subsumption_resolution,[],[f2421,f1417]) ).
fof(f2421,plain,
! [X0] :
( neighborhood_system(X0,sK28(sK9(sK9(the_carrier(X0))))) = a_2_0_yellow19(X0,sK28(sK9(sK9(the_carrier(X0)))))
| ~ top_str(X0)
| ~ topological_space(X0)
| empty_carrier(X0)
| empty(the_carrier(X0)) ),
inference(resolution,[],[f575,f1273]) ).
fof(f2435,plain,
! [X0] :
( neighborhood_system(X0,sK28(sK9(the_carrier(X0)))) = a_2_0_yellow19(X0,sK28(sK9(the_carrier(X0))))
| ~ top_str(X0)
| ~ topological_space(X0)
| empty_carrier(X0) ),
inference(subsumption_resolution,[],[f2420,f1417]) ).
fof(f2420,plain,
! [X0] :
( neighborhood_system(X0,sK28(sK9(the_carrier(X0)))) = a_2_0_yellow19(X0,sK28(sK9(the_carrier(X0))))
| ~ top_str(X0)
| ~ topological_space(X0)
| empty_carrier(X0)
| empty(the_carrier(X0)) ),
inference(resolution,[],[f575,f1246]) ).
fof(f2419,plain,
! [X0] :
( neighborhood_system(X0,sK28(the_carrier(X0))) = a_2_0_yellow19(X0,sK28(the_carrier(X0)))
| ~ top_str(X0)
| ~ topological_space(X0)
| empty_carrier(X0) ),
inference(resolution,[],[f575,f633]) ).
fof(f2417,plain,
! [X0,X1] :
( neighborhood_system(X0,X1) = a_2_0_yellow19(X0,X1)
| ~ top_str(X0)
| ~ topological_space(X0)
| empty_carrier(X0)
| ~ in(X1,the_carrier(X0)) ),
inference(resolution,[],[f575,f641]) ).
fof(f2413,plain,
! [X0,X1] :
( element(sK32(sK28(sK9(powerset(X0))),X1),X0)
| in(sK32(sK28(sK9(powerset(X0))),X1),X1)
| sK28(sK9(powerset(X0))) = X1 ),
inference(resolution,[],[f1252,f652]) ).
fof(f2412,plain,
! [X0,X1] :
( element(sK32(X0,sK28(sK9(powerset(X1)))),X1)
| in(sK32(X0,sK28(sK9(powerset(X1)))),X0)
| sK28(sK9(powerset(X1))) = X0 ),
inference(resolution,[],[f1252,f652]) ).
fof(f2411,plain,
! [X0] :
( element(sK28(sK11(sK11(sK28(sK9(powerset(X0)))))),X0)
| empty(sK28(sK9(powerset(X0)))) ),
inference(resolution,[],[f1252,f1971]) ).
fof(f2410,plain,
! [X0] :
( element(sK28(sK11(sK10(sK28(sK9(powerset(X0)))))),X0)
| empty(sK28(sK9(powerset(X0)))) ),
inference(resolution,[],[f1252,f1959]) ).
fof(f2409,plain,
! [X0] :
( element(sK28(sK11(sK9(sK28(sK9(powerset(X0)))))),X0)
| empty(sK28(sK9(powerset(X0)))) ),
inference(resolution,[],[f1252,f1947]) ).
fof(f2408,plain,
! [X0] :
( element(sK28(sK11(sK28(sK9(powerset(X0))))),X0)
| empty(sK28(sK9(powerset(X0)))) ),
inference(resolution,[],[f1252,f1803]) ).
fof(f2407,plain,
! [X0] :
( element(sK28(sK10(sK11(sK28(sK9(powerset(X0)))))),X0)
| empty(sK28(sK9(powerset(X0)))) ),
inference(resolution,[],[f1252,f1935]) ).
fof(f2406,plain,
! [X0] :
( element(sK28(sK10(sK10(sK28(sK9(powerset(X0)))))),X0)
| empty(sK28(sK9(powerset(X0)))) ),
inference(resolution,[],[f1252,f1508]) ).
fof(f2405,plain,
! [X0] :
( element(sK28(sK10(sK9(sK28(sK9(powerset(X0)))))),X0)
| empty(sK28(sK9(powerset(X0)))) ),
inference(resolution,[],[f1252,f1498]) ).
fof(f2404,plain,
! [X0] :
( element(sK28(sK10(sK28(sK9(powerset(X0))))),X0)
| empty(sK28(sK9(powerset(X0)))) ),
inference(resolution,[],[f1252,f1430]) ).
fof(f2403,plain,
! [X0] :
( element(sK28(sK9(sK11(sK28(sK9(powerset(X0)))))),X0)
| empty(sK28(sK9(powerset(X0)))) ),
inference(resolution,[],[f1252,f1874]) ).
fof(f2402,plain,
! [X0] :
( element(sK28(sK9(sK10(sK28(sK9(powerset(X0)))))),X0)
| empty(sK28(sK9(powerset(X0)))) ),
inference(resolution,[],[f1252,f1488]) ).
fof(f2401,plain,
! [X0] :
( element(sK28(sK9(sK9(sK28(sK9(powerset(X0)))))),X0)
| empty(sK28(sK9(powerset(X0)))) ),
inference(resolution,[],[f1252,f1319]) ).
fof(f2400,plain,
! [X0] :
( element(sK28(sK9(sK28(sK9(powerset(X0))))),X0)
| empty(sK28(sK9(powerset(X0)))) ),
inference(resolution,[],[f1252,f1251]) ).
fof(f2399,plain,
! [X0] :
( element(sK28(sK28(sK9(powerset(X0)))),X0)
| empty(sK28(sK9(powerset(X0)))) ),
inference(resolution,[],[f1252,f874]) ).
fof(f1252,plain,
! [X0,X1] :
( ~ in(X1,sK28(sK9(powerset(X0))))
| element(X1,X0) ),
inference(subsumption_resolution,[],[f1247,f440]) ).
fof(f1247,plain,
! [X0,X1] :
( empty(powerset(X0))
| element(X1,X0)
| ~ in(X1,sK28(sK9(powerset(X0)))) ),
inference(resolution,[],[f1246,f663]) ).
fof(f2387,plain,
! [X2,X0,X1] :
( ~ empty(X0)
| ~ in(X1,sK32(sK30(X0),X2))
| in(sK32(sK30(X0),X2),X2)
| sK30(X0) = X2 ),
inference(resolution,[],[f1160,f652]) ).
fof(f2386,plain,
! [X2,X0,X1] :
( ~ empty(X0)
| ~ in(X1,sK32(X2,sK30(X0)))
| in(sK32(X2,sK30(X0)),X2)
| sK30(X0) = X2 ),
inference(resolution,[],[f1160,f652]) ).
fof(f2398,plain,
! [X0,X1] :
( ~ empty(X0)
| ~ in(X1,sK28(sK11(sK11(sK30(X0))))) ),
inference(subsumption_resolution,[],[f2385,f637]) ).
fof(f2385,plain,
! [X0,X1] :
( ~ empty(X0)
| ~ in(X1,sK28(sK11(sK11(sK30(X0)))))
| empty(sK30(X0)) ),
inference(resolution,[],[f1160,f1971]) ).
fof(f2397,plain,
! [X0,X1] :
( ~ empty(X0)
| ~ in(X1,sK28(sK11(sK10(sK30(X0))))) ),
inference(subsumption_resolution,[],[f2384,f637]) ).
fof(f2384,plain,
! [X0,X1] :
( ~ empty(X0)
| ~ in(X1,sK28(sK11(sK10(sK30(X0)))))
| empty(sK30(X0)) ),
inference(resolution,[],[f1160,f1959]) ).
fof(f2396,plain,
! [X0,X1] :
( ~ empty(X0)
| ~ in(X1,sK28(sK11(sK9(sK30(X0))))) ),
inference(subsumption_resolution,[],[f2383,f637]) ).
fof(f2383,plain,
! [X0,X1] :
( ~ empty(X0)
| ~ in(X1,sK28(sK11(sK9(sK30(X0)))))
| empty(sK30(X0)) ),
inference(resolution,[],[f1160,f1947]) ).
fof(f2395,plain,
! [X0,X1] :
( ~ empty(X0)
| ~ in(X1,sK28(sK10(sK11(sK30(X0))))) ),
inference(subsumption_resolution,[],[f2381,f637]) ).
fof(f2381,plain,
! [X0,X1] :
( ~ empty(X0)
| ~ in(X1,sK28(sK10(sK11(sK30(X0)))))
| empty(sK30(X0)) ),
inference(resolution,[],[f1160,f1935]) ).
fof(f2394,plain,
! [X0,X1] :
( ~ empty(X0)
| ~ in(X1,sK28(sK10(sK10(sK30(X0))))) ),
inference(subsumption_resolution,[],[f2380,f637]) ).
fof(f2380,plain,
! [X0,X1] :
( ~ empty(X0)
| ~ in(X1,sK28(sK10(sK10(sK30(X0)))))
| empty(sK30(X0)) ),
inference(resolution,[],[f1160,f1508]) ).
fof(f2393,plain,
! [X0,X1] :
( ~ empty(X0)
| ~ in(X1,sK28(sK10(sK9(sK30(X0))))) ),
inference(subsumption_resolution,[],[f2379,f637]) ).
fof(f2379,plain,
! [X0,X1] :
( ~ empty(X0)
| ~ in(X1,sK28(sK10(sK9(sK30(X0)))))
| empty(sK30(X0)) ),
inference(resolution,[],[f1160,f1498]) ).
fof(f2392,plain,
! [X0,X1] :
( ~ empty(X0)
| ~ in(X1,sK28(sK9(sK11(sK30(X0))))) ),
inference(subsumption_resolution,[],[f2377,f637]) ).
fof(f2377,plain,
! [X0,X1] :
( ~ empty(X0)
| ~ in(X1,sK28(sK9(sK11(sK30(X0)))))
| empty(sK30(X0)) ),
inference(resolution,[],[f1160,f1874]) ).
fof(f2391,plain,
! [X0,X1] :
( ~ empty(X0)
| ~ in(X1,sK28(sK9(sK10(sK30(X0))))) ),
inference(subsumption_resolution,[],[f2376,f637]) ).
fof(f2376,plain,
! [X0,X1] :
( ~ empty(X0)
| ~ in(X1,sK28(sK9(sK10(sK30(X0)))))
| empty(sK30(X0)) ),
inference(resolution,[],[f1160,f1488]) ).
fof(f2390,plain,
! [X0,X1] :
( ~ empty(X0)
| ~ in(X1,sK28(sK9(sK9(sK30(X0))))) ),
inference(subsumption_resolution,[],[f2375,f637]) ).
fof(f2375,plain,
! [X0,X1] :
( ~ empty(X0)
| ~ in(X1,sK28(sK9(sK9(sK30(X0)))))
| empty(sK30(X0)) ),
inference(resolution,[],[f1160,f1319]) ).
fof(f1160,plain,
! [X2,X0,X1] :
( ~ in(X0,sK30(X1))
| ~ empty(X1)
| ~ in(X2,X0) ),
inference(resolution,[],[f1156,f666]) ).
fof(f1311,plain,
! [X0] :
( boundary_set(cast_as_carrier_subset(X0),X0)
| ~ empty(cast_as_carrier_subset(X0))
| ~ top_str(X0) ),
inference(subsumption_resolution,[],[f1291,f508]) ).
fof(f1291,plain,
! [X0] :
( ~ empty(cast_as_carrier_subset(X0))
| boundary_set(cast_as_carrier_subset(X0),X0)
| ~ top_str(X0)
| ~ one_sorted_str(X0) ),
inference(resolution,[],[f509,f513]) ).
fof(f2370,plain,
! [X0] : ~ in(powerset(X0),sK28(sK11(sK11(sK30(X0))))),
inference(resolution,[],[f2307,f640]) ).
fof(f2366,plain,
! [X0] : ~ in(powerset(X0),sK28(sK11(sK10(sK30(X0))))),
inference(resolution,[],[f2276,f640]) ).
fof(f2362,plain,
! [X0] : ~ in(powerset(X0),sK28(sK11(sK9(sK30(X0))))),
inference(resolution,[],[f2232,f640]) ).
fof(f2358,plain,
! [X0] : ~ in(powerset(X0),sK28(sK10(sK11(sK30(X0))))),
inference(resolution,[],[f2201,f640]) ).
fof(f650,plain,
! [X0,X1] :
( point_neighbourhood(sK31(X0,X1),X0,X1)
| ~ element(X1,the_carrier(X0))
| ~ top_str(X0)
| ~ topological_space(X0)
| empty_carrier(X0) ),
inference(cnf_transformation,[],[f389]) ).
fof(f389,plain,
! [X0,X1] :
( point_neighbourhood(sK31(X0,X1),X0,X1)
| ~ element(X1,the_carrier(X0))
| ~ top_str(X0)
| ~ topological_space(X0)
| empty_carrier(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK31])],[f308,f388]) ).
fof(f388,plain,
! [X0,X1] :
( ? [X2] : point_neighbourhood(X2,X0,X1)
=> point_neighbourhood(sK31(X0,X1),X0,X1) ),
introduced(choice_axiom,[]) ).
fof(f308,plain,
! [X0,X1] :
( ? [X2] : point_neighbourhood(X2,X0,X1)
| ~ element(X1,the_carrier(X0))
| ~ top_str(X0)
| ~ topological_space(X0)
| empty_carrier(X0) ),
inference(flattening,[],[f307]) ).
fof(f307,plain,
! [X0,X1] :
( ? [X2] : point_neighbourhood(X2,X0,X1)
| ~ element(X1,the_carrier(X0))
| ~ top_str(X0)
| ~ topological_space(X0)
| empty_carrier(X0) ),
inference(ennf_transformation,[],[f47]) ).
fof(f47,axiom,
! [X0,X1] :
( ( element(X1,the_carrier(X0))
& top_str(X0)
& topological_space(X0)
& ~ empty_carrier(X0) )
=> ? [X2] : point_neighbourhood(X2,X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',existence_m1_connsp_2) ).
fof(f2354,plain,
! [X0] : ~ in(powerset(X0),sK28(sK9(sK11(sK30(X0))))),
inference(resolution,[],[f2170,f640]) ).
fof(f2308,plain,
! [X0] :
( finite(sK28(sK11(sK11(sK30(X0)))))
| ~ finite(X0) ),
inference(subsumption_resolution,[],[f2301,f637]) ).
fof(f2301,plain,
! [X0] :
( empty(sK30(X0))
| finite(sK28(sK11(sK11(sK30(X0)))))
| ~ finite(X0) ),
inference(resolution,[],[f1971,f1161]) ).
fof(f2369,plain,
! [X0] :
( ~ finite(X0)
| finite(sK28(sK11(sK11(sK30(X0))))) ),
inference(resolution,[],[f2307,f819]) ).
fof(f2368,plain,
! [X0,X1] :
( ~ in(X0,sK28(sK11(sK11(sK30(X1)))))
| ~ empty(X1) ),
inference(resolution,[],[f2307,f997]) ).
fof(f2307,plain,
! [X0] : in(sK28(sK11(sK11(sK30(X0)))),powerset(X0)),
inference(subsumption_resolution,[],[f2300,f637]) ).
fof(f2300,plain,
! [X0] :
( empty(sK30(X0))
| in(sK28(sK11(sK11(sK30(X0)))),powerset(X0)) ),
inference(resolution,[],[f1971,f1163]) ).
fof(f2278,plain,
! [X0] :
( ~ in(X0,sK28(sK11(sK11(X0))))
| empty(X0) ),
inference(resolution,[],[f1971,f640]) ).
fof(f2277,plain,
! [X0] :
( finite(sK28(sK11(sK10(sK30(X0)))))
| ~ finite(X0) ),
inference(subsumption_resolution,[],[f2270,f637]) ).
fof(f2270,plain,
! [X0] :
( empty(sK30(X0))
| finite(sK28(sK11(sK10(sK30(X0)))))
| ~ finite(X0) ),
inference(resolution,[],[f1959,f1161]) ).
fof(f2365,plain,
! [X0] :
( ~ finite(X0)
| finite(sK28(sK11(sK10(sK30(X0))))) ),
inference(resolution,[],[f2276,f819]) ).
fof(f2364,plain,
! [X0,X1] :
( ~ in(X0,sK28(sK11(sK10(sK30(X1)))))
| ~ empty(X1) ),
inference(resolution,[],[f2276,f997]) ).
fof(f2276,plain,
! [X0] : in(sK28(sK11(sK10(sK30(X0)))),powerset(X0)),
inference(subsumption_resolution,[],[f2269,f637]) ).
fof(f2269,plain,
! [X0] :
( empty(sK30(X0))
| in(sK28(sK11(sK10(sK30(X0)))),powerset(X0)) ),
inference(resolution,[],[f1959,f1163]) ).
fof(f2247,plain,
! [X0] :
( ~ in(X0,sK28(sK11(sK10(X0))))
| empty(X0) ),
inference(resolution,[],[f1959,f640]) ).
fof(f632,plain,
! [X0] :
( ~ empty(sK27(X0))
| ~ rel_str(X0)
| ~ with_infima_relstr(X0)
| ~ with_suprema_relstr(X0)
| ~ antisymmetric_relstr(X0)
| ~ transitive_relstr(X0)
| ~ reflexive_relstr(X0) ),
inference(cnf_transformation,[],[f381]) ).
fof(f2233,plain,
! [X0] :
( finite(sK28(sK11(sK9(sK30(X0)))))
| ~ finite(X0) ),
inference(subsumption_resolution,[],[f2226,f637]) ).
fof(f2226,plain,
! [X0] :
( empty(sK30(X0))
| finite(sK28(sK11(sK9(sK30(X0)))))
| ~ finite(X0) ),
inference(resolution,[],[f1947,f1161]) ).
fof(f2361,plain,
! [X0] :
( ~ finite(X0)
| finite(sK28(sK11(sK9(sK30(X0))))) ),
inference(resolution,[],[f2232,f819]) ).
fof(f2360,plain,
! [X0,X1] :
( ~ in(X0,sK28(sK11(sK9(sK30(X1)))))
| ~ empty(X1) ),
inference(resolution,[],[f2232,f997]) ).
fof(f2232,plain,
! [X0] : in(sK28(sK11(sK9(sK30(X0)))),powerset(X0)),
inference(subsumption_resolution,[],[f2225,f637]) ).
fof(f2225,plain,
! [X0] :
( empty(sK30(X0))
| in(sK28(sK11(sK9(sK30(X0)))),powerset(X0)) ),
inference(resolution,[],[f1947,f1163]) ).
fof(f2203,plain,
! [X0] :
( ~ in(X0,sK28(sK11(sK9(X0))))
| empty(X0) ),
inference(resolution,[],[f1947,f640]) ).
fof(f2202,plain,
! [X0] :
( finite(sK28(sK10(sK11(sK30(X0)))))
| ~ finite(X0) ),
inference(subsumption_resolution,[],[f2195,f637]) ).
fof(f2195,plain,
! [X0] :
( empty(sK30(X0))
| finite(sK28(sK10(sK11(sK30(X0)))))
| ~ finite(X0) ),
inference(resolution,[],[f1935,f1161]) ).
fof(f2357,plain,
! [X0] :
( ~ finite(X0)
| finite(sK28(sK10(sK11(sK30(X0))))) ),
inference(resolution,[],[f2201,f819]) ).
fof(f2356,plain,
! [X0,X1] :
( ~ in(X0,sK28(sK10(sK11(sK30(X1)))))
| ~ empty(X1) ),
inference(resolution,[],[f2201,f997]) ).
fof(f2201,plain,
! [X0] : in(sK28(sK10(sK11(sK30(X0)))),powerset(X0)),
inference(subsumption_resolution,[],[f2194,f637]) ).
fof(f2194,plain,
! [X0] :
( empty(sK30(X0))
| in(sK28(sK10(sK11(sK30(X0)))),powerset(X0)) ),
inference(resolution,[],[f1935,f1163]) ).
fof(f2172,plain,
! [X0] :
( ~ in(X0,sK28(sK10(sK11(X0))))
| empty(X0) ),
inference(resolution,[],[f1935,f640]) ).
fof(f2171,plain,
! [X0] :
( finite(sK28(sK9(sK11(sK30(X0)))))
| ~ finite(X0) ),
inference(subsumption_resolution,[],[f2164,f637]) ).
fof(f2164,plain,
! [X0] :
( empty(sK30(X0))
| finite(sK28(sK9(sK11(sK30(X0)))))
| ~ finite(X0) ),
inference(resolution,[],[f1874,f1161]) ).
fof(f2353,plain,
! [X0] :
( ~ finite(X0)
| finite(sK28(sK9(sK11(sK30(X0))))) ),
inference(resolution,[],[f2170,f819]) ).
fof(f2352,plain,
! [X0,X1] :
( ~ in(X0,sK28(sK9(sK11(sK30(X1)))))
| ~ empty(X1) ),
inference(resolution,[],[f2170,f997]) ).
fof(f2170,plain,
! [X0] : in(sK28(sK9(sK11(sK30(X0)))),powerset(X0)),
inference(subsumption_resolution,[],[f2163,f637]) ).
fof(f2163,plain,
! [X0] :
( empty(sK30(X0))
| in(sK28(sK9(sK11(sK30(X0)))),powerset(X0)) ),
inference(resolution,[],[f1874,f1163]) ).
fof(f2350,plain,
! [X0,X1] :
( rel_str_of(X0,X1) != sK47
| the_InternalRel(sK47) = X1
| ~ relation_of2(X1,X0,X0) ),
inference(superposition,[],[f646,f1187]) ).
fof(f2349,plain,
! [X0,X1] :
( rel_str_of(X0,X1) != sK46
| the_InternalRel(sK46) = X1
| ~ relation_of2(X1,X0,X0) ),
inference(superposition,[],[f646,f1186]) ).
fof(f2348,plain,
! [X0,X1] :
( rel_str_of(X0,X1) != sK45
| the_InternalRel(sK45) = X1
| ~ relation_of2(X1,X0,X0) ),
inference(superposition,[],[f646,f1185]) ).
fof(f2347,plain,
! [X0,X1] :
( rel_str_of(X0,X1) != sK44
| the_InternalRel(sK44) = X1
| ~ relation_of2(X1,X0,X0) ),
inference(superposition,[],[f646,f1184]) ).
fof(f2346,plain,
! [X0,X1] :
( rel_str_of(X0,X1) != sK43
| the_InternalRel(sK43) = X1
| ~ relation_of2(X1,X0,X0) ),
inference(superposition,[],[f646,f1183]) ).
fof(f2345,plain,
! [X0,X1] :
( rel_str_of(X0,X1) != sK42
| the_InternalRel(sK42) = X1
| ~ relation_of2(X1,X0,X0) ),
inference(superposition,[],[f646,f1182]) ).
fof(f2344,plain,
! [X0,X1] :
( rel_str_of(X0,X1) != sK47
| the_InternalRel(sK47) = X1
| ~ relation_of2(the_InternalRel(sK47),the_carrier(sK47),the_carrier(sK47)) ),
inference(superposition,[],[f646,f1187]) ).
fof(f2343,plain,
! [X0,X1] :
( rel_str_of(X0,X1) != sK46
| the_InternalRel(sK46) = X1
| ~ relation_of2(the_InternalRel(sK46),the_carrier(sK46),the_carrier(sK46)) ),
inference(superposition,[],[f646,f1186]) ).
fof(f2342,plain,
! [X0,X1] :
( rel_str_of(X0,X1) != sK45
| the_InternalRel(sK45) = X1
| ~ relation_of2(the_InternalRel(sK45),the_carrier(sK45),the_carrier(sK45)) ),
inference(superposition,[],[f646,f1185]) ).
fof(f2341,plain,
! [X0,X1] :
( rel_str_of(X0,X1) != sK44
| the_InternalRel(sK44) = X1
| ~ relation_of2(the_InternalRel(sK44),the_carrier(sK44),the_carrier(sK44)) ),
inference(superposition,[],[f646,f1184]) ).
fof(f2340,plain,
! [X0,X1] :
( rel_str_of(X0,X1) != sK43
| the_InternalRel(sK43) = X1
| ~ relation_of2(the_InternalRel(sK43),the_carrier(sK43),the_carrier(sK43)) ),
inference(superposition,[],[f646,f1183]) ).
fof(f2339,plain,
! [X0,X1] :
( rel_str_of(X0,X1) != sK42
| the_InternalRel(sK42) = X1
| ~ relation_of2(the_InternalRel(sK42),the_carrier(sK42),the_carrier(sK42)) ),
inference(superposition,[],[f646,f1182]) ).
fof(f646,plain,
! [X2,X3,X0,X1] :
( rel_str_of(X0,X1) != rel_str_of(X2,X3)
| X1 = X3
| ~ relation_of2(X1,X0,X0) ),
inference(cnf_transformation,[],[f300]) ).
fof(f300,plain,
! [X0,X1] :
( ! [X2,X3] :
( ( X1 = X3
& X0 = X2 )
| rel_str_of(X0,X1) != rel_str_of(X2,X3) )
| ~ relation_of2(X1,X0,X0) ),
inference(ennf_transformation,[],[f73]) ).
fof(f73,axiom,
! [X0,X1] :
( relation_of2(X1,X0,X0)
=> ! [X2,X3] :
( rel_str_of(X0,X1) = rel_str_of(X2,X3)
=> ( X1 = X3
& X0 = X2 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',free_g1_orders_2) ).
fof(f2141,plain,
! [X0] :
( ~ in(X0,sK28(sK9(sK11(X0))))
| empty(X0) ),
inference(resolution,[],[f1874,f640]) ).
fof(f1974,plain,
! [X0] :
( finite(sK28(sK11(sK11(powerset(X0)))))
| ~ finite(X0) ),
inference(subsumption_resolution,[],[f1967,f440]) ).
fof(f1967,plain,
! [X0] :
( empty(powerset(X0))
| finite(sK28(sK11(sK11(powerset(X0)))))
| ~ finite(X0) ),
inference(resolution,[],[f1834,f517]) ).
fof(f2291,plain,
! [X0] :
( empty(sK28(powerset(X0)))
| element(sK28(sK11(sK11(sK28(powerset(X0))))),X0) ),
inference(resolution,[],[f1971,f1155]) ).
fof(f2306,plain,
! [X0] :
( element(sK28(sK11(sK11(sK11(X0)))),X0)
| empty(X0) ),
inference(subsumption_resolution,[],[f2286,f506]) ).
fof(f2286,plain,
! [X0] :
( empty(sK11(X0))
| element(sK28(sK11(sK11(sK11(X0)))),X0)
| empty(X0) ),
inference(resolution,[],[f1971,f1144]) ).
fof(f2305,plain,
! [X0] :
( element(sK28(sK11(sK11(sK10(X0)))),X0)
| empty(X0) ),
inference(subsumption_resolution,[],[f2285,f503]) ).
fof(f2285,plain,
! [X0] :
( empty(sK10(X0))
| element(sK28(sK11(sK11(sK10(X0)))),X0)
| empty(X0) ),
inference(resolution,[],[f1971,f1143]) ).
fof(f2304,plain,
! [X0] :
( element(sK28(sK11(sK11(sK9(X0)))),X0)
| empty(X0) ),
inference(subsumption_resolution,[],[f2284,f501]) ).
fof(f2284,plain,
! [X0] :
( empty(sK9(X0))
| element(sK28(sK11(sK11(sK9(X0)))),X0)
| empty(X0) ),
inference(resolution,[],[f1971,f1142]) ).
fof(f2303,plain,
! [X0] :
( ~ finite(X0)
| finite(sK28(sK11(sK11(powerset(X0))))) ),
inference(subsumption_resolution,[],[f2281,f440]) ).
fof(f2281,plain,
! [X0] :
( empty(powerset(X0))
| ~ finite(X0)
| finite(sK28(sK11(sK11(powerset(X0))))) ),
inference(resolution,[],[f1971,f819]) ).
fof(f2302,plain,
! [X0,X1] :
( ~ in(X1,sK28(sK11(sK11(powerset(X0)))))
| ~ empty(X0) ),
inference(subsumption_resolution,[],[f2280,f440]) ).
fof(f2280,plain,
! [X0,X1] :
( empty(powerset(X0))
| ~ in(X1,sK28(sK11(sK11(powerset(X0)))))
| ~ empty(X0) ),
inference(resolution,[],[f1971,f997]) ).
fof(f1971,plain,
! [X0] :
( in(sK28(sK11(sK11(X0))),X0)
| empty(X0) ),
inference(duplicate_literal_removal,[],[f1970]) ).
fof(f1970,plain,
! [X0] :
( empty(X0)
| empty(X0)
| in(sK28(sK11(sK11(X0))),X0) ),
inference(resolution,[],[f1834,f642]) ).
fof(f1962,plain,
! [X0] :
( finite(sK28(sK11(sK10(powerset(X0)))))
| ~ finite(X0) ),
inference(subsumption_resolution,[],[f1955,f440]) ).
fof(f1955,plain,
! [X0] :
( empty(powerset(X0))
| finite(sK28(sK11(sK10(powerset(X0)))))
| ~ finite(X0) ),
inference(resolution,[],[f1833,f517]) ).
fof(f2260,plain,
! [X0] :
( empty(sK28(powerset(X0)))
| element(sK28(sK11(sK10(sK28(powerset(X0))))),X0) ),
inference(resolution,[],[f1959,f1155]) ).
fof(f2275,plain,
! [X0] :
( element(sK28(sK11(sK10(sK11(X0)))),X0)
| empty(X0) ),
inference(subsumption_resolution,[],[f2255,f506]) ).
fof(f2255,plain,
! [X0] :
( empty(sK11(X0))
| element(sK28(sK11(sK10(sK11(X0)))),X0)
| empty(X0) ),
inference(resolution,[],[f1959,f1144]) ).
fof(f2274,plain,
! [X0] :
( element(sK28(sK11(sK10(sK10(X0)))),X0)
| empty(X0) ),
inference(subsumption_resolution,[],[f2254,f503]) ).
fof(f2254,plain,
! [X0] :
( empty(sK10(X0))
| element(sK28(sK11(sK10(sK10(X0)))),X0)
| empty(X0) ),
inference(resolution,[],[f1959,f1143]) ).
fof(f2273,plain,
! [X0] :
( element(sK28(sK11(sK10(sK9(X0)))),X0)
| empty(X0) ),
inference(subsumption_resolution,[],[f2253,f501]) ).
fof(f2253,plain,
! [X0] :
( empty(sK9(X0))
| element(sK28(sK11(sK10(sK9(X0)))),X0)
| empty(X0) ),
inference(resolution,[],[f1959,f1142]) ).
fof(f2272,plain,
! [X0] :
( ~ finite(X0)
| finite(sK28(sK11(sK10(powerset(X0))))) ),
inference(subsumption_resolution,[],[f2250,f440]) ).
fof(f2250,plain,
! [X0] :
( empty(powerset(X0))
| ~ finite(X0)
| finite(sK28(sK11(sK10(powerset(X0))))) ),
inference(resolution,[],[f1959,f819]) ).
fof(f2271,plain,
! [X0,X1] :
( ~ in(X1,sK28(sK11(sK10(powerset(X0)))))
| ~ empty(X0) ),
inference(subsumption_resolution,[],[f2249,f440]) ).
fof(f2249,plain,
! [X0,X1] :
( empty(powerset(X0))
| ~ in(X1,sK28(sK11(sK10(powerset(X0)))))
| ~ empty(X0) ),
inference(resolution,[],[f1959,f997]) ).
fof(f1959,plain,
! [X0] :
( in(sK28(sK11(sK10(X0))),X0)
| empty(X0) ),
inference(duplicate_literal_removal,[],[f1958]) ).
fof(f1958,plain,
! [X0] :
( empty(X0)
| empty(X0)
| in(sK28(sK11(sK10(X0))),X0) ),
inference(resolution,[],[f1833,f642]) ).
fof(f2245,plain,
! [X0,X1] :
( rel_str_of(X0,X1) != sK47
| the_carrier(sK47) = X0
| ~ relation_of2(X1,X0,X0) ),
inference(superposition,[],[f645,f1187]) ).
fof(f2244,plain,
! [X0,X1] :
( rel_str_of(X0,X1) != sK46
| the_carrier(sK46) = X0
| ~ relation_of2(X1,X0,X0) ),
inference(superposition,[],[f645,f1186]) ).
fof(f2243,plain,
! [X0,X1] :
( rel_str_of(X0,X1) != sK45
| the_carrier(sK45) = X0
| ~ relation_of2(X1,X0,X0) ),
inference(superposition,[],[f645,f1185]) ).
fof(f2242,plain,
! [X0,X1] :
( rel_str_of(X0,X1) != sK44
| the_carrier(sK44) = X0
| ~ relation_of2(X1,X0,X0) ),
inference(superposition,[],[f645,f1184]) ).
fof(f2241,plain,
! [X0,X1] :
( rel_str_of(X0,X1) != sK43
| the_carrier(sK43) = X0
| ~ relation_of2(X1,X0,X0) ),
inference(superposition,[],[f645,f1183]) ).
fof(f2240,plain,
! [X0,X1] :
( rel_str_of(X0,X1) != sK42
| the_carrier(sK42) = X0
| ~ relation_of2(X1,X0,X0) ),
inference(superposition,[],[f645,f1182]) ).
fof(f2239,plain,
! [X0,X1] :
( rel_str_of(X0,X1) != sK47
| the_carrier(sK47) = X0
| ~ relation_of2(the_InternalRel(sK47),the_carrier(sK47),the_carrier(sK47)) ),
inference(superposition,[],[f645,f1187]) ).
fof(f2238,plain,
! [X0,X1] :
( rel_str_of(X0,X1) != sK46
| the_carrier(sK46) = X0
| ~ relation_of2(the_InternalRel(sK46),the_carrier(sK46),the_carrier(sK46)) ),
inference(superposition,[],[f645,f1186]) ).
fof(f2237,plain,
! [X0,X1] :
( rel_str_of(X0,X1) != sK45
| the_carrier(sK45) = X0
| ~ relation_of2(the_InternalRel(sK45),the_carrier(sK45),the_carrier(sK45)) ),
inference(superposition,[],[f645,f1185]) ).
fof(f2236,plain,
! [X0,X1] :
( rel_str_of(X0,X1) != sK44
| the_carrier(sK44) = X0
| ~ relation_of2(the_InternalRel(sK44),the_carrier(sK44),the_carrier(sK44)) ),
inference(superposition,[],[f645,f1184]) ).
fof(f2235,plain,
! [X0,X1] :
( rel_str_of(X0,X1) != sK43
| the_carrier(sK43) = X0
| ~ relation_of2(the_InternalRel(sK43),the_carrier(sK43),the_carrier(sK43)) ),
inference(superposition,[],[f645,f1183]) ).
fof(f2234,plain,
! [X0,X1] :
( rel_str_of(X0,X1) != sK42
| the_carrier(sK42) = X0
| ~ relation_of2(the_InternalRel(sK42),the_carrier(sK42),the_carrier(sK42)) ),
inference(superposition,[],[f645,f1182]) ).
fof(f645,plain,
! [X2,X3,X0,X1] :
( rel_str_of(X0,X1) != rel_str_of(X2,X3)
| X0 = X2
| ~ relation_of2(X1,X0,X0) ),
inference(cnf_transformation,[],[f300]) ).
fof(f1950,plain,
! [X0] :
( finite(sK28(sK11(sK9(powerset(X0)))))
| ~ finite(X0) ),
inference(subsumption_resolution,[],[f1943,f440]) ).
fof(f1943,plain,
! [X0] :
( empty(powerset(X0))
| finite(sK28(sK11(sK9(powerset(X0)))))
| ~ finite(X0) ),
inference(resolution,[],[f1832,f517]) ).
fof(f2216,plain,
! [X0] :
( empty(sK28(powerset(X0)))
| element(sK28(sK11(sK9(sK28(powerset(X0))))),X0) ),
inference(resolution,[],[f1947,f1155]) ).
fof(f2231,plain,
! [X0] :
( element(sK28(sK11(sK9(sK11(X0)))),X0)
| empty(X0) ),
inference(subsumption_resolution,[],[f2211,f506]) ).
fof(f2211,plain,
! [X0] :
( empty(sK11(X0))
| element(sK28(sK11(sK9(sK11(X0)))),X0)
| empty(X0) ),
inference(resolution,[],[f1947,f1144]) ).
fof(f2230,plain,
! [X0] :
( element(sK28(sK11(sK9(sK10(X0)))),X0)
| empty(X0) ),
inference(subsumption_resolution,[],[f2210,f503]) ).
fof(f2210,plain,
! [X0] :
( empty(sK10(X0))
| element(sK28(sK11(sK9(sK10(X0)))),X0)
| empty(X0) ),
inference(resolution,[],[f1947,f1143]) ).
fof(f2229,plain,
! [X0] :
( element(sK28(sK11(sK9(sK9(X0)))),X0)
| empty(X0) ),
inference(subsumption_resolution,[],[f2209,f501]) ).
fof(f2209,plain,
! [X0] :
( empty(sK9(X0))
| element(sK28(sK11(sK9(sK9(X0)))),X0)
| empty(X0) ),
inference(resolution,[],[f1947,f1142]) ).
fof(f2228,plain,
! [X0] :
( ~ finite(X0)
| finite(sK28(sK11(sK9(powerset(X0))))) ),
inference(subsumption_resolution,[],[f2206,f440]) ).
fof(f2206,plain,
! [X0] :
( empty(powerset(X0))
| ~ finite(X0)
| finite(sK28(sK11(sK9(powerset(X0))))) ),
inference(resolution,[],[f1947,f819]) ).
fof(f2227,plain,
! [X0,X1] :
( ~ in(X1,sK28(sK11(sK9(powerset(X0)))))
| ~ empty(X0) ),
inference(subsumption_resolution,[],[f2205,f440]) ).
fof(f2205,plain,
! [X0,X1] :
( empty(powerset(X0))
| ~ in(X1,sK28(sK11(sK9(powerset(X0)))))
| ~ empty(X0) ),
inference(resolution,[],[f1947,f997]) ).
fof(f1947,plain,
! [X0] :
( in(sK28(sK11(sK9(X0))),X0)
| empty(X0) ),
inference(duplicate_literal_removal,[],[f1946]) ).
fof(f1946,plain,
! [X0] :
( empty(X0)
| empty(X0)
| in(sK28(sK11(sK9(X0))),X0) ),
inference(resolution,[],[f1832,f642]) ).
fof(f1938,plain,
! [X0] :
( finite(sK28(sK10(sK11(powerset(X0)))))
| ~ finite(X0) ),
inference(subsumption_resolution,[],[f1931,f440]) ).
fof(f1931,plain,
! [X0] :
( empty(powerset(X0))
| finite(sK28(sK10(sK11(powerset(X0)))))
| ~ finite(X0) ),
inference(resolution,[],[f1795,f517]) ).
fof(f2185,plain,
! [X0] :
( empty(sK28(powerset(X0)))
| element(sK28(sK10(sK11(sK28(powerset(X0))))),X0) ),
inference(resolution,[],[f1935,f1155]) ).
fof(f2200,plain,
! [X0] :
( element(sK28(sK10(sK11(sK11(X0)))),X0)
| empty(X0) ),
inference(subsumption_resolution,[],[f2180,f506]) ).
fof(f2180,plain,
! [X0] :
( empty(sK11(X0))
| element(sK28(sK10(sK11(sK11(X0)))),X0)
| empty(X0) ),
inference(resolution,[],[f1935,f1144]) ).
fof(f2199,plain,
! [X0] :
( element(sK28(sK10(sK11(sK10(X0)))),X0)
| empty(X0) ),
inference(subsumption_resolution,[],[f2179,f503]) ).
fof(f2179,plain,
! [X0] :
( empty(sK10(X0))
| element(sK28(sK10(sK11(sK10(X0)))),X0)
| empty(X0) ),
inference(resolution,[],[f1935,f1143]) ).
fof(f2198,plain,
! [X0] :
( element(sK28(sK10(sK11(sK9(X0)))),X0)
| empty(X0) ),
inference(subsumption_resolution,[],[f2178,f501]) ).
fof(f2178,plain,
! [X0] :
( empty(sK9(X0))
| element(sK28(sK10(sK11(sK9(X0)))),X0)
| empty(X0) ),
inference(resolution,[],[f1935,f1142]) ).
fof(f2197,plain,
! [X0] :
( ~ finite(X0)
| finite(sK28(sK10(sK11(powerset(X0))))) ),
inference(subsumption_resolution,[],[f2175,f440]) ).
fof(f2175,plain,
! [X0] :
( empty(powerset(X0))
| ~ finite(X0)
| finite(sK28(sK10(sK11(powerset(X0))))) ),
inference(resolution,[],[f1935,f819]) ).
fof(f2196,plain,
! [X0,X1] :
( ~ in(X1,sK28(sK10(sK11(powerset(X0)))))
| ~ empty(X0) ),
inference(subsumption_resolution,[],[f2174,f440]) ).
fof(f2174,plain,
! [X0,X1] :
( empty(powerset(X0))
| ~ in(X1,sK28(sK10(sK11(powerset(X0)))))
| ~ empty(X0) ),
inference(resolution,[],[f1935,f997]) ).
fof(f1935,plain,
! [X0] :
( in(sK28(sK10(sK11(X0))),X0)
| empty(X0) ),
inference(duplicate_literal_removal,[],[f1934]) ).
fof(f1934,plain,
! [X0] :
( empty(X0)
| empty(X0)
| in(sK28(sK10(sK11(X0))),X0) ),
inference(resolution,[],[f1795,f642]) ).
fof(f1877,plain,
! [X0] :
( finite(sK28(sK9(sK11(powerset(X0)))))
| ~ finite(X0) ),
inference(subsumption_resolution,[],[f1871,f440]) ).
fof(f1871,plain,
! [X0] :
( empty(powerset(X0))
| finite(sK28(sK9(sK11(powerset(X0)))))
| ~ finite(X0) ),
inference(resolution,[],[f1792,f517]) ).
fof(f2154,plain,
! [X0] :
( empty(sK28(powerset(X0)))
| element(sK28(sK9(sK11(sK28(powerset(X0))))),X0) ),
inference(resolution,[],[f1874,f1155]) ).
fof(f2169,plain,
! [X0] :
( element(sK28(sK9(sK11(sK11(X0)))),X0)
| empty(X0) ),
inference(subsumption_resolution,[],[f2149,f506]) ).
fof(f2149,plain,
! [X0] :
( empty(sK11(X0))
| element(sK28(sK9(sK11(sK11(X0)))),X0)
| empty(X0) ),
inference(resolution,[],[f1874,f1144]) ).
fof(f2168,plain,
! [X0] :
( element(sK28(sK9(sK11(sK10(X0)))),X0)
| empty(X0) ),
inference(subsumption_resolution,[],[f2148,f503]) ).
fof(f2148,plain,
! [X0] :
( empty(sK10(X0))
| element(sK28(sK9(sK11(sK10(X0)))),X0)
| empty(X0) ),
inference(resolution,[],[f1874,f1143]) ).
fof(f2167,plain,
! [X0] :
( element(sK28(sK9(sK11(sK9(X0)))),X0)
| empty(X0) ),
inference(subsumption_resolution,[],[f2147,f501]) ).
fof(f2147,plain,
! [X0] :
( empty(sK9(X0))
| element(sK28(sK9(sK11(sK9(X0)))),X0)
| empty(X0) ),
inference(resolution,[],[f1874,f1142]) ).
fof(f2166,plain,
! [X0] :
( ~ finite(X0)
| finite(sK28(sK9(sK11(powerset(X0))))) ),
inference(subsumption_resolution,[],[f2144,f440]) ).
fof(f2144,plain,
! [X0] :
( empty(powerset(X0))
| ~ finite(X0)
| finite(sK28(sK9(sK11(powerset(X0))))) ),
inference(resolution,[],[f1874,f819]) ).
fof(f2165,plain,
! [X0,X1] :
( ~ in(X1,sK28(sK9(sK11(powerset(X0)))))
| ~ empty(X0) ),
inference(subsumption_resolution,[],[f2143,f440]) ).
fof(f2143,plain,
! [X0,X1] :
( empty(powerset(X0))
| ~ in(X1,sK28(sK9(sK11(powerset(X0)))))
| ~ empty(X0) ),
inference(resolution,[],[f1874,f997]) ).
fof(f1874,plain,
! [X0] :
( in(sK28(sK9(sK11(X0))),X0)
| empty(X0) ),
inference(duplicate_literal_removal,[],[f1873]) ).
fof(f1873,plain,
! [X0] :
( empty(X0)
| empty(X0)
| in(sK28(sK9(sK11(X0))),X0) ),
inference(resolution,[],[f1792,f642]) ).
fof(f2126,plain,
! [X0] :
( closed_subset(sK12(X0),X0)
| ~ top_str(X0)
| ~ topological_space(X0) ),
inference(subsumption_resolution,[],[f2124,f511]) ).
fof(f2124,plain,
! [X0] :
( ~ empty(sK12(X0))
| closed_subset(sK12(X0),X0)
| ~ top_str(X0)
| ~ topological_space(X0) ),
inference(duplicate_literal_removal,[],[f2092]) ).
fof(f2092,plain,
! [X0] :
( ~ empty(sK12(X0))
| closed_subset(sK12(X0),X0)
| ~ top_str(X0)
| ~ topological_space(X0)
| ~ top_str(X0) ),
inference(resolution,[],[f605,f510]) ).
fof(f2125,plain,
! [X0] :
( closed_subset(empty_set,X0)
| ~ top_str(X0)
| ~ topological_space(X0) ),
inference(subsumption_resolution,[],[f2088,f438]) ).
fof(f2088,plain,
! [X0] :
( ~ empty(empty_set)
| closed_subset(empty_set,X0)
| ~ top_str(X0)
| ~ topological_space(X0) ),
inference(resolution,[],[f605,f770]) ).
fof(f2138,plain,
! [X0] :
( ~ empty(sK28(sK11(sK11(powerset(the_carrier(X0))))))
| closed_subset(sK28(sK11(sK11(powerset(the_carrier(X0))))),X0)
| ~ top_str(X0)
| ~ topological_space(X0) ),
inference(subsumption_resolution,[],[f2118,f440]) ).
fof(f2118,plain,
! [X0] :
( ~ empty(sK28(sK11(sK11(powerset(the_carrier(X0))))))
| closed_subset(sK28(sK11(sK11(powerset(the_carrier(X0))))),X0)
| ~ top_str(X0)
| ~ topological_space(X0)
| empty(powerset(the_carrier(X0))) ),
inference(resolution,[],[f605,f1834]) ).
fof(f2137,plain,
! [X0] :
( ~ empty(sK28(sK11(sK10(powerset(the_carrier(X0))))))
| closed_subset(sK28(sK11(sK10(powerset(the_carrier(X0))))),X0)
| ~ top_str(X0)
| ~ topological_space(X0) ),
inference(subsumption_resolution,[],[f2117,f440]) ).
fof(f2117,plain,
! [X0] :
( ~ empty(sK28(sK11(sK10(powerset(the_carrier(X0))))))
| closed_subset(sK28(sK11(sK10(powerset(the_carrier(X0))))),X0)
| ~ top_str(X0)
| ~ topological_space(X0)
| empty(powerset(the_carrier(X0))) ),
inference(resolution,[],[f605,f1833]) ).
fof(f2136,plain,
! [X0] :
( ~ empty(sK28(sK11(sK9(powerset(the_carrier(X0))))))
| closed_subset(sK28(sK11(sK9(powerset(the_carrier(X0))))),X0)
| ~ top_str(X0)
| ~ topological_space(X0) ),
inference(subsumption_resolution,[],[f2116,f440]) ).
fof(f2116,plain,
! [X0] :
( ~ empty(sK28(sK11(sK9(powerset(the_carrier(X0))))))
| closed_subset(sK28(sK11(sK9(powerset(the_carrier(X0))))),X0)
| ~ top_str(X0)
| ~ topological_space(X0)
| empty(powerset(the_carrier(X0))) ),
inference(resolution,[],[f605,f1832]) ).
fof(f2135,plain,
! [X0] :
( ~ empty(sK28(sK11(powerset(the_carrier(X0)))))
| closed_subset(sK28(sK11(powerset(the_carrier(X0)))),X0)
| ~ top_str(X0)
| ~ topological_space(X0) ),
inference(subsumption_resolution,[],[f2115,f440]) ).
fof(f2115,plain,
! [X0] :
( ~ empty(sK28(sK11(powerset(the_carrier(X0)))))
| closed_subset(sK28(sK11(powerset(the_carrier(X0)))),X0)
| ~ top_str(X0)
| ~ topological_space(X0)
| empty(powerset(the_carrier(X0))) ),
inference(resolution,[],[f605,f1791]) ).
fof(f2134,plain,
! [X0] :
( ~ empty(sK28(sK10(sK11(powerset(the_carrier(X0))))))
| closed_subset(sK28(sK10(sK11(powerset(the_carrier(X0))))),X0)
| ~ top_str(X0)
| ~ topological_space(X0) ),
inference(subsumption_resolution,[],[f2114,f440]) ).
fof(f2114,plain,
! [X0] :
( ~ empty(sK28(sK10(sK11(powerset(the_carrier(X0))))))
| closed_subset(sK28(sK10(sK11(powerset(the_carrier(X0))))),X0)
| ~ top_str(X0)
| ~ topological_space(X0)
| empty(powerset(the_carrier(X0))) ),
inference(resolution,[],[f605,f1795]) ).
fof(f2133,plain,
! [X0] :
( ~ empty(sK28(sK10(sK10(powerset(the_carrier(X0))))))
| closed_subset(sK28(sK10(sK10(powerset(the_carrier(X0))))),X0)
| ~ top_str(X0)
| ~ topological_space(X0) ),
inference(subsumption_resolution,[],[f2113,f440]) ).
fof(f2113,plain,
! [X0] :
( ~ empty(sK28(sK10(sK10(powerset(the_carrier(X0))))))
| closed_subset(sK28(sK10(sK10(powerset(the_carrier(X0))))),X0)
| ~ top_str(X0)
| ~ topological_space(X0)
| empty(powerset(the_carrier(X0))) ),
inference(resolution,[],[f605,f1457]) ).
fof(f2132,plain,
! [X0] :
( ~ empty(sK28(sK10(sK9(powerset(the_carrier(X0))))))
| closed_subset(sK28(sK10(sK9(powerset(the_carrier(X0))))),X0)
| ~ top_str(X0)
| ~ topological_space(X0) ),
inference(subsumption_resolution,[],[f2112,f440]) ).
fof(f2112,plain,
! [X0] :
( ~ empty(sK28(sK10(sK9(powerset(the_carrier(X0))))))
| closed_subset(sK28(sK10(sK9(powerset(the_carrier(X0))))),X0)
| ~ top_str(X0)
| ~ topological_space(X0)
| empty(powerset(the_carrier(X0))) ),
inference(resolution,[],[f605,f1456]) ).
fof(f2131,plain,
! [X0] :
( ~ empty(sK28(sK10(powerset(the_carrier(X0)))))
| closed_subset(sK28(sK10(powerset(the_carrier(X0)))),X0)
| ~ top_str(X0)
| ~ topological_space(X0) ),
inference(subsumption_resolution,[],[f2111,f440]) ).
fof(f2111,plain,
! [X0] :
( ~ empty(sK28(sK10(powerset(the_carrier(X0)))))
| closed_subset(sK28(sK10(powerset(the_carrier(X0)))),X0)
| ~ top_str(X0)
| ~ topological_space(X0)
| empty(powerset(the_carrier(X0))) ),
inference(resolution,[],[f605,f1422]) ).
fof(f2130,plain,
! [X0] :
( ~ empty(sK28(sK9(sK11(powerset(the_carrier(X0))))))
| closed_subset(sK28(sK9(sK11(powerset(the_carrier(X0))))),X0)
| ~ top_str(X0)
| ~ topological_space(X0) ),
inference(subsumption_resolution,[],[f2110,f440]) ).
fof(f2110,plain,
! [X0] :
( ~ empty(sK28(sK9(sK11(powerset(the_carrier(X0))))))
| closed_subset(sK28(sK9(sK11(powerset(the_carrier(X0))))),X0)
| ~ top_str(X0)
| ~ topological_space(X0)
| empty(powerset(the_carrier(X0))) ),
inference(resolution,[],[f605,f1792]) ).
fof(f2129,plain,
! [X0] :
( ~ empty(sK28(sK9(sK10(powerset(the_carrier(X0))))))
| closed_subset(sK28(sK9(sK10(powerset(the_carrier(X0))))),X0)
| ~ top_str(X0)
| ~ topological_space(X0) ),
inference(subsumption_resolution,[],[f2109,f440]) ).
fof(f2109,plain,
! [X0] :
( ~ empty(sK28(sK9(sK10(powerset(the_carrier(X0))))))
| closed_subset(sK28(sK9(sK10(powerset(the_carrier(X0))))),X0)
| ~ top_str(X0)
| ~ topological_space(X0)
| empty(powerset(the_carrier(X0))) ),
inference(resolution,[],[f605,f1423]) ).
fof(f2128,plain,
! [X0] :
( ~ empty(sK28(sK9(sK9(powerset(the_carrier(X0))))))
| closed_subset(sK28(sK9(sK9(powerset(the_carrier(X0))))),X0)
| ~ top_str(X0)
| ~ topological_space(X0) ),
inference(subsumption_resolution,[],[f2108,f440]) ).
fof(f2108,plain,
! [X0] :
( ~ empty(sK28(sK9(sK9(powerset(the_carrier(X0))))))
| closed_subset(sK28(sK9(sK9(powerset(the_carrier(X0))))),X0)
| ~ top_str(X0)
| ~ topological_space(X0)
| empty(powerset(the_carrier(X0))) ),
inference(resolution,[],[f605,f1273]) ).
fof(f2127,plain,
! [X0] :
( ~ empty(sK28(sK9(powerset(the_carrier(X0)))))
| closed_subset(sK28(sK9(powerset(the_carrier(X0)))),X0)
| ~ top_str(X0)
| ~ topological_space(X0) ),
inference(subsumption_resolution,[],[f2107,f440]) ).
fof(f2107,plain,
! [X0] :
( ~ empty(sK28(sK9(powerset(the_carrier(X0)))))
| closed_subset(sK28(sK9(powerset(the_carrier(X0)))),X0)
| ~ top_str(X0)
| ~ topological_space(X0)
| empty(powerset(the_carrier(X0))) ),
inference(resolution,[],[f605,f1246]) ).
fof(f2106,plain,
! [X0] :
( ~ empty(sK28(powerset(the_carrier(X0))))
| closed_subset(sK28(powerset(the_carrier(X0))),X0)
| ~ top_str(X0)
| ~ topological_space(X0) ),
inference(resolution,[],[f605,f633]) ).
fof(f2121,plain,
! [X0] :
( ~ empty(sK24(X0))
| closed_subset(sK24(X0),X0)
| ~ top_str(X0)
| ~ topological_space(X0) ),
inference(duplicate_literal_removal,[],[f2103]) ).
fof(f2103,plain,
! [X0] :
( ~ empty(sK24(X0))
| closed_subset(sK24(X0),X0)
| ~ top_str(X0)
| ~ topological_space(X0)
| ~ top_str(X0)
| ~ topological_space(X0) ),
inference(resolution,[],[f605,f622]) ).
fof(f2094,plain,
! [X0] :
( ~ empty(sK15(X0))
| closed_subset(sK15(X0),X0)
| ~ top_str(X0)
| ~ topological_space(X0)
| ~ rel_str(X0) ),
inference(resolution,[],[f605,f572]) ).
fof(f2093,plain,
! [X0] :
( ~ empty(sK14(X0))
| closed_subset(sK14(X0),X0)
| ~ top_str(X0)
| ~ topological_space(X0)
| ~ rel_str(X0) ),
inference(resolution,[],[f605,f571]) ).
fof(f2086,plain,
! [X0,X1] :
( ~ empty(X0)
| closed_subset(X0,X1)
| ~ top_str(X1)
| ~ topological_space(X1)
| ~ in(X0,powerset(the_carrier(X1))) ),
inference(resolution,[],[f605,f641]) ).
fof(f2085,plain,
! [X0,X1] :
( ~ empty(X0)
| closed_subset(X0,X1)
| ~ top_str(X1)
| ~ topological_space(X1)
| ~ subset(X0,the_carrier(X1)) ),
inference(resolution,[],[f605,f654]) ).
fof(f2084,plain,
! [X0,X1] :
( ~ empty(X0)
| closed_subset(X0,X1)
| ~ top_str(X1)
| ~ topological_space(X1)
| ~ in(X0,sK30(the_carrier(X1))) ),
inference(resolution,[],[f605,f1156]) ).
fof(f605,plain,
! [X0,X1] :
( ~ element(X1,powerset(the_carrier(X0)))
| ~ empty(X1)
| closed_subset(X1,X0)
| ~ top_str(X0)
| ~ topological_space(X0) ),
inference(cnf_transformation,[],[f274]) ).
fof(f274,plain,
! [X0] :
( ! [X1] :
( ( closed_subset(X1,X0)
& open_subset(X1,X0) )
| ~ empty(X1)
| ~ element(X1,powerset(the_carrier(X0))) )
| ~ top_str(X0)
| ~ topological_space(X0) ),
inference(flattening,[],[f273]) ).
fof(f273,plain,
! [X0] :
( ! [X1] :
( ( closed_subset(X1,X0)
& open_subset(X1,X0) )
| ~ empty(X1)
| ~ element(X1,powerset(the_carrier(X0))) )
| ~ top_str(X0)
| ~ topological_space(X0) ),
inference(ennf_transformation,[],[f12]) ).
fof(f12,axiom,
! [X0] :
( ( top_str(X0)
& topological_space(X0) )
=> ! [X1] :
( element(X1,powerset(the_carrier(X0)))
=> ( empty(X1)
=> ( closed_subset(X1,X0)
& open_subset(X1,X0) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc1_tops_1) ).
fof(f2081,plain,
! [X0] :
( ~ empty(X0)
| empty_set = sK28(sK10(powerset(sK28(sK11(sK30(X0)))))) ),
inference(resolution,[],[f2061,f1475]) ).
fof(f2080,plain,
! [X0] :
( ~ empty(X0)
| empty_set = sK28(sK9(sK30(sK28(sK11(sK30(X0)))))) ),
inference(resolution,[],[f2061,f1331]) ).
fof(f2079,plain,
! [X0] :
( ~ empty(X0)
| empty_set = sK28(sK9(powerset(sK28(sK11(sK30(X0)))))) ),
inference(resolution,[],[f2061,f1287]) ).
fof(f2078,plain,
! [X0] :
( ~ empty(X0)
| empty_set = sK28(sK30(sK28(sK11(sK30(X0))))) ),
inference(resolution,[],[f2061,f1209]) ).
fof(f2077,plain,
! [X0] :
( ~ empty(X0)
| empty_set = sK28(powerset(sK28(powerset(sK28(sK11(sK30(X0))))))) ),
inference(resolution,[],[f2061,f1024]) ).
fof(f2076,plain,
! [X0] :
( ~ empty(X0)
| empty_set = sK28(powerset(sK28(sK11(sK30(X0))))) ),
inference(resolution,[],[f2061,f1020]) ).
fof(f2075,plain,
! [X0,X1] :
( ~ empty(X0)
| sK28(powerset(X1)) = sK28(sK11(sK30(X0)))
| ~ empty(X1) ),
inference(resolution,[],[f2061,f1019]) ).
fof(f2074,plain,
! [X0,X1] :
( ~ empty(X0)
| sK28(sK11(sK30(X0))) = X1
| ~ empty(X1) ),
inference(resolution,[],[f2061,f655]) ).
fof(f2073,plain,
! [X0] :
( ~ empty(X0)
| empty_set = sK28(sK11(sK30(X0))) ),
inference(resolution,[],[f2061,f574]) ).
fof(f2061,plain,
! [X0] :
( empty(sK28(sK11(sK30(X0))))
| ~ empty(X0) ),
inference(resolution,[],[f1837,f874]) ).
fof(f2070,plain,
! [X0,X1] :
( ~ empty(X0)
| in(sK32(sK28(sK11(sK30(X0))),X1),X1)
| sK28(sK11(sK30(X0))) = X1 ),
inference(resolution,[],[f1837,f652]) ).
fof(f2069,plain,
! [X0,X1] :
( ~ empty(X0)
| in(sK32(X1,sK28(sK11(sK30(X0)))),X1)
| sK28(sK11(sK30(X0))) = X1 ),
inference(resolution,[],[f1837,f652]) ).
fof(f2068,plain,
! [X0] :
( ~ empty(X0)
| empty(sK28(sK11(sK30(X0)))) ),
inference(resolution,[],[f1837,f1803]) ).
fof(f2067,plain,
! [X0] :
( ~ empty(X0)
| empty(sK28(sK11(sK30(X0)))) ),
inference(resolution,[],[f1837,f1508]) ).
fof(f2066,plain,
! [X0] :
( ~ empty(X0)
| empty(sK28(sK11(sK30(X0)))) ),
inference(resolution,[],[f1837,f1498]) ).
fof(f2065,plain,
! [X0] :
( ~ empty(X0)
| empty(sK28(sK11(sK30(X0)))) ),
inference(resolution,[],[f1837,f1430]) ).
fof(f2064,plain,
! [X0] :
( ~ empty(X0)
| empty(sK28(sK11(sK30(X0)))) ),
inference(resolution,[],[f1837,f1488]) ).
fof(f2063,plain,
! [X0] :
( ~ empty(X0)
| empty(sK28(sK11(sK30(X0)))) ),
inference(resolution,[],[f1837,f1319]) ).
fof(f2062,plain,
! [X0] :
( ~ empty(X0)
| empty(sK28(sK11(sK30(X0)))) ),
inference(resolution,[],[f1837,f1251]) ).
fof(f1837,plain,
! [X0,X1] :
( ~ in(X0,sK28(sK11(sK30(X1))))
| ~ empty(X1) ),
inference(resolution,[],[f1835,f997]) ).
fof(f2046,plain,
! [X0] :
( open_subset(sK12(X0),X0)
| ~ top_str(X0)
| ~ topological_space(X0) ),
inference(subsumption_resolution,[],[f2044,f511]) ).
fof(f2044,plain,
! [X0] :
( ~ empty(sK12(X0))
| open_subset(sK12(X0),X0)
| ~ top_str(X0)
| ~ topological_space(X0) ),
inference(duplicate_literal_removal,[],[f2012]) ).
fof(f2012,plain,
! [X0] :
( ~ empty(sK12(X0))
| open_subset(sK12(X0),X0)
| ~ top_str(X0)
| ~ topological_space(X0)
| ~ top_str(X0) ),
inference(resolution,[],[f604,f510]) ).
fof(f2045,plain,
! [X0] :
( open_subset(empty_set,X0)
| ~ top_str(X0)
| ~ topological_space(X0) ),
inference(subsumption_resolution,[],[f2008,f438]) ).
fof(f2008,plain,
! [X0] :
( ~ empty(empty_set)
| open_subset(empty_set,X0)
| ~ top_str(X0)
| ~ topological_space(X0) ),
inference(resolution,[],[f604,f770]) ).
fof(f2058,plain,
! [X0] :
( ~ empty(sK28(sK11(sK11(powerset(the_carrier(X0))))))
| open_subset(sK28(sK11(sK11(powerset(the_carrier(X0))))),X0)
| ~ top_str(X0)
| ~ topological_space(X0) ),
inference(subsumption_resolution,[],[f2038,f440]) ).
fof(f2038,plain,
! [X0] :
( ~ empty(sK28(sK11(sK11(powerset(the_carrier(X0))))))
| open_subset(sK28(sK11(sK11(powerset(the_carrier(X0))))),X0)
| ~ top_str(X0)
| ~ topological_space(X0)
| empty(powerset(the_carrier(X0))) ),
inference(resolution,[],[f604,f1834]) ).
fof(f2057,plain,
! [X0] :
( ~ empty(sK28(sK11(sK10(powerset(the_carrier(X0))))))
| open_subset(sK28(sK11(sK10(powerset(the_carrier(X0))))),X0)
| ~ top_str(X0)
| ~ topological_space(X0) ),
inference(subsumption_resolution,[],[f2037,f440]) ).
fof(f2037,plain,
! [X0] :
( ~ empty(sK28(sK11(sK10(powerset(the_carrier(X0))))))
| open_subset(sK28(sK11(sK10(powerset(the_carrier(X0))))),X0)
| ~ top_str(X0)
| ~ topological_space(X0)
| empty(powerset(the_carrier(X0))) ),
inference(resolution,[],[f604,f1833]) ).
fof(f2056,plain,
! [X0] :
( ~ empty(sK28(sK11(sK9(powerset(the_carrier(X0))))))
| open_subset(sK28(sK11(sK9(powerset(the_carrier(X0))))),X0)
| ~ top_str(X0)
| ~ topological_space(X0) ),
inference(subsumption_resolution,[],[f2036,f440]) ).
fof(f2036,plain,
! [X0] :
( ~ empty(sK28(sK11(sK9(powerset(the_carrier(X0))))))
| open_subset(sK28(sK11(sK9(powerset(the_carrier(X0))))),X0)
| ~ top_str(X0)
| ~ topological_space(X0)
| empty(powerset(the_carrier(X0))) ),
inference(resolution,[],[f604,f1832]) ).
fof(f2055,plain,
! [X0] :
( ~ empty(sK28(sK11(powerset(the_carrier(X0)))))
| open_subset(sK28(sK11(powerset(the_carrier(X0)))),X0)
| ~ top_str(X0)
| ~ topological_space(X0) ),
inference(subsumption_resolution,[],[f2035,f440]) ).
fof(f2035,plain,
! [X0] :
( ~ empty(sK28(sK11(powerset(the_carrier(X0)))))
| open_subset(sK28(sK11(powerset(the_carrier(X0)))),X0)
| ~ top_str(X0)
| ~ topological_space(X0)
| empty(powerset(the_carrier(X0))) ),
inference(resolution,[],[f604,f1791]) ).
fof(f2054,plain,
! [X0] :
( ~ empty(sK28(sK10(sK11(powerset(the_carrier(X0))))))
| open_subset(sK28(sK10(sK11(powerset(the_carrier(X0))))),X0)
| ~ top_str(X0)
| ~ topological_space(X0) ),
inference(subsumption_resolution,[],[f2034,f440]) ).
fof(f2034,plain,
! [X0] :
( ~ empty(sK28(sK10(sK11(powerset(the_carrier(X0))))))
| open_subset(sK28(sK10(sK11(powerset(the_carrier(X0))))),X0)
| ~ top_str(X0)
| ~ topological_space(X0)
| empty(powerset(the_carrier(X0))) ),
inference(resolution,[],[f604,f1795]) ).
fof(f2053,plain,
! [X0] :
( ~ empty(sK28(sK10(sK10(powerset(the_carrier(X0))))))
| open_subset(sK28(sK10(sK10(powerset(the_carrier(X0))))),X0)
| ~ top_str(X0)
| ~ topological_space(X0) ),
inference(subsumption_resolution,[],[f2033,f440]) ).
fof(f2033,plain,
! [X0] :
( ~ empty(sK28(sK10(sK10(powerset(the_carrier(X0))))))
| open_subset(sK28(sK10(sK10(powerset(the_carrier(X0))))),X0)
| ~ top_str(X0)
| ~ topological_space(X0)
| empty(powerset(the_carrier(X0))) ),
inference(resolution,[],[f604,f1457]) ).
fof(f2052,plain,
! [X0] :
( ~ empty(sK28(sK10(sK9(powerset(the_carrier(X0))))))
| open_subset(sK28(sK10(sK9(powerset(the_carrier(X0))))),X0)
| ~ top_str(X0)
| ~ topological_space(X0) ),
inference(subsumption_resolution,[],[f2032,f440]) ).
fof(f2032,plain,
! [X0] :
( ~ empty(sK28(sK10(sK9(powerset(the_carrier(X0))))))
| open_subset(sK28(sK10(sK9(powerset(the_carrier(X0))))),X0)
| ~ top_str(X0)
| ~ topological_space(X0)
| empty(powerset(the_carrier(X0))) ),
inference(resolution,[],[f604,f1456]) ).
fof(f2051,plain,
! [X0] :
( ~ empty(sK28(sK10(powerset(the_carrier(X0)))))
| open_subset(sK28(sK10(powerset(the_carrier(X0)))),X0)
| ~ top_str(X0)
| ~ topological_space(X0) ),
inference(subsumption_resolution,[],[f2031,f440]) ).
fof(f2031,plain,
! [X0] :
( ~ empty(sK28(sK10(powerset(the_carrier(X0)))))
| open_subset(sK28(sK10(powerset(the_carrier(X0)))),X0)
| ~ top_str(X0)
| ~ topological_space(X0)
| empty(powerset(the_carrier(X0))) ),
inference(resolution,[],[f604,f1422]) ).
fof(f2050,plain,
! [X0] :
( ~ empty(sK28(sK9(sK11(powerset(the_carrier(X0))))))
| open_subset(sK28(sK9(sK11(powerset(the_carrier(X0))))),X0)
| ~ top_str(X0)
| ~ topological_space(X0) ),
inference(subsumption_resolution,[],[f2030,f440]) ).
fof(f2030,plain,
! [X0] :
( ~ empty(sK28(sK9(sK11(powerset(the_carrier(X0))))))
| open_subset(sK28(sK9(sK11(powerset(the_carrier(X0))))),X0)
| ~ top_str(X0)
| ~ topological_space(X0)
| empty(powerset(the_carrier(X0))) ),
inference(resolution,[],[f604,f1792]) ).
fof(f2049,plain,
! [X0] :
( ~ empty(sK28(sK9(sK10(powerset(the_carrier(X0))))))
| open_subset(sK28(sK9(sK10(powerset(the_carrier(X0))))),X0)
| ~ top_str(X0)
| ~ topological_space(X0) ),
inference(subsumption_resolution,[],[f2029,f440]) ).
fof(f2029,plain,
! [X0] :
( ~ empty(sK28(sK9(sK10(powerset(the_carrier(X0))))))
| open_subset(sK28(sK9(sK10(powerset(the_carrier(X0))))),X0)
| ~ top_str(X0)
| ~ topological_space(X0)
| empty(powerset(the_carrier(X0))) ),
inference(resolution,[],[f604,f1423]) ).
fof(f2048,plain,
! [X0] :
( ~ empty(sK28(sK9(sK9(powerset(the_carrier(X0))))))
| open_subset(sK28(sK9(sK9(powerset(the_carrier(X0))))),X0)
| ~ top_str(X0)
| ~ topological_space(X0) ),
inference(subsumption_resolution,[],[f2028,f440]) ).
fof(f2028,plain,
! [X0] :
( ~ empty(sK28(sK9(sK9(powerset(the_carrier(X0))))))
| open_subset(sK28(sK9(sK9(powerset(the_carrier(X0))))),X0)
| ~ top_str(X0)
| ~ topological_space(X0)
| empty(powerset(the_carrier(X0))) ),
inference(resolution,[],[f604,f1273]) ).
fof(f2047,plain,
! [X0] :
( ~ empty(sK28(sK9(powerset(the_carrier(X0)))))
| open_subset(sK28(sK9(powerset(the_carrier(X0)))),X0)
| ~ top_str(X0)
| ~ topological_space(X0) ),
inference(subsumption_resolution,[],[f2027,f440]) ).
fof(f2027,plain,
! [X0] :
( ~ empty(sK28(sK9(powerset(the_carrier(X0)))))
| open_subset(sK28(sK9(powerset(the_carrier(X0)))),X0)
| ~ top_str(X0)
| ~ topological_space(X0)
| empty(powerset(the_carrier(X0))) ),
inference(resolution,[],[f604,f1246]) ).
fof(f2026,plain,
! [X0] :
( ~ empty(sK28(powerset(the_carrier(X0))))
| open_subset(sK28(powerset(the_carrier(X0))),X0)
| ~ top_str(X0)
| ~ topological_space(X0) ),
inference(resolution,[],[f604,f633]) ).
fof(f2039,plain,
! [X0] :
( ~ empty(sK26(X0))
| open_subset(sK26(X0),X0)
| ~ top_str(X0)
| ~ topological_space(X0) ),
inference(duplicate_literal_removal,[],[f2025]) ).
fof(f2025,plain,
! [X0] :
( ~ empty(sK26(X0))
| open_subset(sK26(X0),X0)
| ~ top_str(X0)
| ~ topological_space(X0)
| ~ top_str(X0)
| ~ topological_space(X0) ),
inference(resolution,[],[f604,f627]) ).
fof(f2014,plain,
! [X0] :
( ~ empty(sK15(X0))
| open_subset(sK15(X0),X0)
| ~ top_str(X0)
| ~ topological_space(X0)
| ~ rel_str(X0) ),
inference(resolution,[],[f604,f572]) ).
fof(f2013,plain,
! [X0] :
( ~ empty(sK14(X0))
| open_subset(sK14(X0),X0)
| ~ top_str(X0)
| ~ topological_space(X0)
| ~ rel_str(X0) ),
inference(resolution,[],[f604,f571]) ).
fof(f2006,plain,
! [X0,X1] :
( ~ empty(X0)
| open_subset(X0,X1)
| ~ top_str(X1)
| ~ topological_space(X1)
| ~ in(X0,powerset(the_carrier(X1))) ),
inference(resolution,[],[f604,f641]) ).
fof(f2005,plain,
! [X0,X1] :
( ~ empty(X0)
| open_subset(X0,X1)
| ~ top_str(X1)
| ~ topological_space(X1)
| ~ subset(X0,the_carrier(X1)) ),
inference(resolution,[],[f604,f654]) ).
fof(f2004,plain,
! [X0,X1] :
( ~ empty(X0)
| open_subset(X0,X1)
| ~ top_str(X1)
| ~ topological_space(X1)
| ~ in(X0,sK30(the_carrier(X1))) ),
inference(resolution,[],[f604,f1156]) ).
fof(f604,plain,
! [X0,X1] :
( ~ element(X1,powerset(the_carrier(X0)))
| ~ empty(X1)
| open_subset(X1,X0)
| ~ top_str(X0)
| ~ topological_space(X0) ),
inference(cnf_transformation,[],[f274]) ).
fof(f1976,plain,
! [X0] :
( ~ empty(sK28(sK11(sK11(powerset(the_carrier(X0))))))
| boundary_set(sK28(sK11(sK11(powerset(the_carrier(X0))))),X0)
| ~ top_str(X0) ),
inference(subsumption_resolution,[],[f1969,f440]) ).
fof(f1969,plain,
! [X0] :
( empty(powerset(the_carrier(X0)))
| ~ empty(sK28(sK11(sK11(powerset(the_carrier(X0))))))
| boundary_set(sK28(sK11(sK11(powerset(the_carrier(X0))))),X0)
| ~ top_str(X0) ),
inference(resolution,[],[f1834,f509]) ).
fof(f1975,plain,
! [X0] :
( ~ empty(sK28(sK11(sK11(powerset(the_carrier(X0))))))
| nowhere_dense(sK28(sK11(sK11(powerset(the_carrier(X0))))),X0)
| ~ top_str(X0)
| ~ topological_space(X0) ),
inference(subsumption_resolution,[],[f1968,f440]) ).
fof(f1968,plain,
! [X0] :
( empty(powerset(the_carrier(X0)))
| ~ empty(sK28(sK11(sK11(powerset(the_carrier(X0))))))
| nowhere_dense(sK28(sK11(sK11(powerset(the_carrier(X0))))),X0)
| ~ top_str(X0)
| ~ topological_space(X0) ),
inference(resolution,[],[f1834,f603]) ).
fof(f1973,plain,
! [X0,X1] :
( ~ empty(X0)
| ~ in(X1,sK28(sK11(sK11(powerset(X0))))) ),
inference(subsumption_resolution,[],[f1966,f440]) ).
fof(f1966,plain,
! [X0,X1] :
( empty(powerset(X0))
| ~ empty(X0)
| ~ in(X1,sK28(sK11(sK11(powerset(X0))))) ),
inference(resolution,[],[f1834,f666]) ).
fof(f1972,plain,
! [X0,X1] :
( element(X1,X0)
| ~ in(X1,sK28(sK11(sK11(powerset(X0))))) ),
inference(subsumption_resolution,[],[f1965,f440]) ).
fof(f1965,plain,
! [X0,X1] :
( empty(powerset(X0))
| element(X1,X0)
| ~ in(X1,sK28(sK11(sK11(powerset(X0))))) ),
inference(resolution,[],[f1834,f663]) ).
fof(f1834,plain,
! [X0] :
( element(sK28(sK11(sK11(X0))),X0)
| empty(X0) ),
inference(subsumption_resolution,[],[f1816,f506]) ).
fof(f1816,plain,
! [X0] :
( empty(sK11(X0))
| element(sK28(sK11(sK11(X0))),X0)
| empty(X0) ),
inference(resolution,[],[f1803,f1144]) ).
fof(f1964,plain,
! [X0] :
( ~ empty(sK28(sK11(sK10(powerset(the_carrier(X0))))))
| boundary_set(sK28(sK11(sK10(powerset(the_carrier(X0))))),X0)
| ~ top_str(X0) ),
inference(subsumption_resolution,[],[f1957,f440]) ).
fof(f1957,plain,
! [X0] :
( empty(powerset(the_carrier(X0)))
| ~ empty(sK28(sK11(sK10(powerset(the_carrier(X0))))))
| boundary_set(sK28(sK11(sK10(powerset(the_carrier(X0))))),X0)
| ~ top_str(X0) ),
inference(resolution,[],[f1833,f509]) ).
fof(f1963,plain,
! [X0] :
( ~ empty(sK28(sK11(sK10(powerset(the_carrier(X0))))))
| nowhere_dense(sK28(sK11(sK10(powerset(the_carrier(X0))))),X0)
| ~ top_str(X0)
| ~ topological_space(X0) ),
inference(subsumption_resolution,[],[f1956,f440]) ).
fof(f1956,plain,
! [X0] :
( empty(powerset(the_carrier(X0)))
| ~ empty(sK28(sK11(sK10(powerset(the_carrier(X0))))))
| nowhere_dense(sK28(sK11(sK10(powerset(the_carrier(X0))))),X0)
| ~ top_str(X0)
| ~ topological_space(X0) ),
inference(resolution,[],[f1833,f603]) ).
fof(f1961,plain,
! [X0,X1] :
( ~ empty(X0)
| ~ in(X1,sK28(sK11(sK10(powerset(X0))))) ),
inference(subsumption_resolution,[],[f1954,f440]) ).
fof(f1954,plain,
! [X0,X1] :
( empty(powerset(X0))
| ~ empty(X0)
| ~ in(X1,sK28(sK11(sK10(powerset(X0))))) ),
inference(resolution,[],[f1833,f666]) ).
fof(f1960,plain,
! [X0,X1] :
( element(X1,X0)
| ~ in(X1,sK28(sK11(sK10(powerset(X0))))) ),
inference(subsumption_resolution,[],[f1953,f440]) ).
fof(f1953,plain,
! [X0,X1] :
( empty(powerset(X0))
| element(X1,X0)
| ~ in(X1,sK28(sK11(sK10(powerset(X0))))) ),
inference(resolution,[],[f1833,f663]) ).
fof(f1833,plain,
! [X0] :
( element(sK28(sK11(sK10(X0))),X0)
| empty(X0) ),
inference(subsumption_resolution,[],[f1815,f503]) ).
fof(f1815,plain,
! [X0] :
( empty(sK10(X0))
| element(sK28(sK11(sK10(X0))),X0)
| empty(X0) ),
inference(resolution,[],[f1803,f1143]) ).
fof(f1952,plain,
! [X0] :
( ~ empty(sK28(sK11(sK9(powerset(the_carrier(X0))))))
| boundary_set(sK28(sK11(sK9(powerset(the_carrier(X0))))),X0)
| ~ top_str(X0) ),
inference(subsumption_resolution,[],[f1945,f440]) ).
fof(f1945,plain,
! [X0] :
( empty(powerset(the_carrier(X0)))
| ~ empty(sK28(sK11(sK9(powerset(the_carrier(X0))))))
| boundary_set(sK28(sK11(sK9(powerset(the_carrier(X0))))),X0)
| ~ top_str(X0) ),
inference(resolution,[],[f1832,f509]) ).
fof(f1951,plain,
! [X0] :
( ~ empty(sK28(sK11(sK9(powerset(the_carrier(X0))))))
| nowhere_dense(sK28(sK11(sK9(powerset(the_carrier(X0))))),X0)
| ~ top_str(X0)
| ~ topological_space(X0) ),
inference(subsumption_resolution,[],[f1944,f440]) ).
fof(f1944,plain,
! [X0] :
( empty(powerset(the_carrier(X0)))
| ~ empty(sK28(sK11(sK9(powerset(the_carrier(X0))))))
| nowhere_dense(sK28(sK11(sK9(powerset(the_carrier(X0))))),X0)
| ~ top_str(X0)
| ~ topological_space(X0) ),
inference(resolution,[],[f1832,f603]) ).
fof(f1949,plain,
! [X0,X1] :
( ~ empty(X0)
| ~ in(X1,sK28(sK11(sK9(powerset(X0))))) ),
inference(subsumption_resolution,[],[f1942,f440]) ).
fof(f1942,plain,
! [X0,X1] :
( empty(powerset(X0))
| ~ empty(X0)
| ~ in(X1,sK28(sK11(sK9(powerset(X0))))) ),
inference(resolution,[],[f1832,f666]) ).
fof(f1948,plain,
! [X0,X1] :
( element(X1,X0)
| ~ in(X1,sK28(sK11(sK9(powerset(X0))))) ),
inference(subsumption_resolution,[],[f1941,f440]) ).
fof(f1941,plain,
! [X0,X1] :
( empty(powerset(X0))
| element(X1,X0)
| ~ in(X1,sK28(sK11(sK9(powerset(X0))))) ),
inference(resolution,[],[f1832,f663]) ).
fof(f1832,plain,
! [X0] :
( element(sK28(sK11(sK9(X0))),X0)
| empty(X0) ),
inference(subsumption_resolution,[],[f1814,f501]) ).
fof(f1814,plain,
! [X0] :
( empty(sK9(X0))
| element(sK28(sK11(sK9(X0))),X0)
| empty(X0) ),
inference(resolution,[],[f1803,f1142]) ).
fof(f1940,plain,
! [X0] :
( ~ empty(sK28(sK10(sK11(powerset(the_carrier(X0))))))
| boundary_set(sK28(sK10(sK11(powerset(the_carrier(X0))))),X0)
| ~ top_str(X0) ),
inference(subsumption_resolution,[],[f1933,f440]) ).
fof(f1933,plain,
! [X0] :
( empty(powerset(the_carrier(X0)))
| ~ empty(sK28(sK10(sK11(powerset(the_carrier(X0))))))
| boundary_set(sK28(sK10(sK11(powerset(the_carrier(X0))))),X0)
| ~ top_str(X0) ),
inference(resolution,[],[f1795,f509]) ).
fof(f1939,plain,
! [X0] :
( ~ empty(sK28(sK10(sK11(powerset(the_carrier(X0))))))
| nowhere_dense(sK28(sK10(sK11(powerset(the_carrier(X0))))),X0)
| ~ top_str(X0)
| ~ topological_space(X0) ),
inference(subsumption_resolution,[],[f1932,f440]) ).
fof(f1932,plain,
! [X0] :
( empty(powerset(the_carrier(X0)))
| ~ empty(sK28(sK10(sK11(powerset(the_carrier(X0))))))
| nowhere_dense(sK28(sK10(sK11(powerset(the_carrier(X0))))),X0)
| ~ top_str(X0)
| ~ topological_space(X0) ),
inference(resolution,[],[f1795,f603]) ).
fof(f1937,plain,
! [X0,X1] :
( ~ empty(X0)
| ~ in(X1,sK28(sK10(sK11(powerset(X0))))) ),
inference(subsumption_resolution,[],[f1930,f440]) ).
fof(f1930,plain,
! [X0,X1] :
( empty(powerset(X0))
| ~ empty(X0)
| ~ in(X1,sK28(sK10(sK11(powerset(X0))))) ),
inference(resolution,[],[f1795,f666]) ).
fof(f1936,plain,
! [X0,X1] :
( element(X1,X0)
| ~ in(X1,sK28(sK10(sK11(powerset(X0))))) ),
inference(subsumption_resolution,[],[f1929,f440]) ).
fof(f1929,plain,
! [X0,X1] :
( empty(powerset(X0))
| element(X1,X0)
| ~ in(X1,sK28(sK10(sK11(powerset(X0))))) ),
inference(resolution,[],[f1795,f663]) ).
fof(f1795,plain,
! [X0] :
( element(sK28(sK10(sK11(X0))),X0)
| empty(X0) ),
inference(subsumption_resolution,[],[f1784,f506]) ).
fof(f1784,plain,
! [X0] :
( element(sK28(sK10(sK11(X0))),X0)
| empty(X0)
| empty(sK11(X0)) ),
inference(resolution,[],[f1144,f1430]) ).
fof(f1918,plain,
! [X0] :
( nowhere_dense(sK12(X0),X0)
| ~ top_str(X0)
| ~ topological_space(X0) ),
inference(subsumption_resolution,[],[f1915,f511]) ).
fof(f1915,plain,
! [X0] :
( ~ empty(sK12(X0))
| nowhere_dense(sK12(X0),X0)
| ~ top_str(X0)
| ~ topological_space(X0) ),
inference(duplicate_literal_removal,[],[f1887]) ).
fof(f1887,plain,
! [X0] :
( ~ empty(sK12(X0))
| nowhere_dense(sK12(X0),X0)
| ~ top_str(X0)
| ~ topological_space(X0)
| ~ top_str(X0) ),
inference(resolution,[],[f603,f510]) ).
fof(f1917,plain,
! [X0] :
( nowhere_dense(empty_set,X0)
| ~ top_str(X0)
| ~ topological_space(X0) ),
inference(subsumption_resolution,[],[f1883,f438]) ).
fof(f1883,plain,
! [X0] :
( ~ empty(empty_set)
| nowhere_dense(empty_set,X0)
| ~ top_str(X0)
| ~ topological_space(X0) ),
inference(resolution,[],[f603,f770]) ).
fof(f1926,plain,
! [X0] :
( ~ empty(sK28(sK11(powerset(the_carrier(X0)))))
| nowhere_dense(sK28(sK11(powerset(the_carrier(X0)))),X0)
| ~ top_str(X0)
| ~ topological_space(X0) ),
inference(subsumption_resolution,[],[f1909,f440]) ).
fof(f1909,plain,
! [X0] :
( ~ empty(sK28(sK11(powerset(the_carrier(X0)))))
| nowhere_dense(sK28(sK11(powerset(the_carrier(X0)))),X0)
| ~ top_str(X0)
| ~ topological_space(X0)
| empty(powerset(the_carrier(X0))) ),
inference(resolution,[],[f603,f1791]) ).
fof(f1925,plain,
! [X0] :
( ~ empty(sK28(sK10(sK10(powerset(the_carrier(X0))))))
| nowhere_dense(sK28(sK10(sK10(powerset(the_carrier(X0))))),X0)
| ~ top_str(X0)
| ~ topological_space(X0) ),
inference(subsumption_resolution,[],[f1908,f440]) ).
fof(f1908,plain,
! [X0] :
( ~ empty(sK28(sK10(sK10(powerset(the_carrier(X0))))))
| nowhere_dense(sK28(sK10(sK10(powerset(the_carrier(X0))))),X0)
| ~ top_str(X0)
| ~ topological_space(X0)
| empty(powerset(the_carrier(X0))) ),
inference(resolution,[],[f603,f1457]) ).
fof(f1924,plain,
! [X0] :
( ~ empty(sK28(sK10(sK9(powerset(the_carrier(X0))))))
| nowhere_dense(sK28(sK10(sK9(powerset(the_carrier(X0))))),X0)
| ~ top_str(X0)
| ~ topological_space(X0) ),
inference(subsumption_resolution,[],[f1907,f440]) ).
fof(f1907,plain,
! [X0] :
( ~ empty(sK28(sK10(sK9(powerset(the_carrier(X0))))))
| nowhere_dense(sK28(sK10(sK9(powerset(the_carrier(X0))))),X0)
| ~ top_str(X0)
| ~ topological_space(X0)
| empty(powerset(the_carrier(X0))) ),
inference(resolution,[],[f603,f1456]) ).
fof(f1923,plain,
! [X0] :
( ~ empty(sK28(sK10(powerset(the_carrier(X0)))))
| nowhere_dense(sK28(sK10(powerset(the_carrier(X0)))),X0)
| ~ top_str(X0)
| ~ topological_space(X0) ),
inference(subsumption_resolution,[],[f1906,f440]) ).
fof(f1906,plain,
! [X0] :
( ~ empty(sK28(sK10(powerset(the_carrier(X0)))))
| nowhere_dense(sK28(sK10(powerset(the_carrier(X0)))),X0)
| ~ top_str(X0)
| ~ topological_space(X0)
| empty(powerset(the_carrier(X0))) ),
inference(resolution,[],[f603,f1422]) ).
fof(f1922,plain,
! [X0] :
( ~ empty(sK28(sK9(sK11(powerset(the_carrier(X0))))))
| nowhere_dense(sK28(sK9(sK11(powerset(the_carrier(X0))))),X0)
| ~ top_str(X0)
| ~ topological_space(X0) ),
inference(subsumption_resolution,[],[f1905,f440]) ).
fof(f1905,plain,
! [X0] :
( ~ empty(sK28(sK9(sK11(powerset(the_carrier(X0))))))
| nowhere_dense(sK28(sK9(sK11(powerset(the_carrier(X0))))),X0)
| ~ top_str(X0)
| ~ topological_space(X0)
| empty(powerset(the_carrier(X0))) ),
inference(resolution,[],[f603,f1792]) ).
fof(f1921,plain,
! [X0] :
( ~ empty(sK28(sK9(sK10(powerset(the_carrier(X0))))))
| nowhere_dense(sK28(sK9(sK10(powerset(the_carrier(X0))))),X0)
| ~ top_str(X0)
| ~ topological_space(X0) ),
inference(subsumption_resolution,[],[f1904,f440]) ).
fof(f1904,plain,
! [X0] :
( ~ empty(sK28(sK9(sK10(powerset(the_carrier(X0))))))
| nowhere_dense(sK28(sK9(sK10(powerset(the_carrier(X0))))),X0)
| ~ top_str(X0)
| ~ topological_space(X0)
| empty(powerset(the_carrier(X0))) ),
inference(resolution,[],[f603,f1423]) ).
fof(f1920,plain,
! [X0] :
( ~ empty(sK28(sK9(sK9(powerset(the_carrier(X0))))))
| nowhere_dense(sK28(sK9(sK9(powerset(the_carrier(X0))))),X0)
| ~ top_str(X0)
| ~ topological_space(X0) ),
inference(subsumption_resolution,[],[f1903,f440]) ).
fof(f1903,plain,
! [X0] :
( ~ empty(sK28(sK9(sK9(powerset(the_carrier(X0))))))
| nowhere_dense(sK28(sK9(sK9(powerset(the_carrier(X0))))),X0)
| ~ top_str(X0)
| ~ topological_space(X0)
| empty(powerset(the_carrier(X0))) ),
inference(resolution,[],[f603,f1273]) ).
fof(f1919,plain,
! [X0] :
( ~ empty(sK28(sK9(powerset(the_carrier(X0)))))
| nowhere_dense(sK28(sK9(powerset(the_carrier(X0)))),X0)
| ~ top_str(X0)
| ~ topological_space(X0) ),
inference(subsumption_resolution,[],[f1902,f440]) ).
fof(f1902,plain,
! [X0] :
( ~ empty(sK28(sK9(powerset(the_carrier(X0)))))
| nowhere_dense(sK28(sK9(powerset(the_carrier(X0)))),X0)
| ~ top_str(X0)
| ~ topological_space(X0)
| empty(powerset(the_carrier(X0))) ),
inference(resolution,[],[f603,f1246]) ).
fof(f1901,plain,
! [X0] :
( ~ empty(sK28(powerset(the_carrier(X0))))
| nowhere_dense(sK28(powerset(the_carrier(X0))),X0)
| ~ top_str(X0)
| ~ topological_space(X0) ),
inference(resolution,[],[f603,f633]) ).
fof(f1910,plain,
! [X0] :
( ~ empty(sK26(X0))
| nowhere_dense(sK26(X0),X0)
| ~ top_str(X0)
| ~ topological_space(X0) ),
inference(duplicate_literal_removal,[],[f1900]) ).
fof(f1900,plain,
! [X0] :
( ~ empty(sK26(X0))
| nowhere_dense(sK26(X0),X0)
| ~ top_str(X0)
| ~ topological_space(X0)
| ~ top_str(X0)
| ~ topological_space(X0) ),
inference(resolution,[],[f603,f627]) ).
fof(f1911,plain,
! [X0] :
( ~ empty(sK25(X0))
| nowhere_dense(sK25(X0),X0)
| ~ top_str(X0)
| ~ topological_space(X0) ),
inference(duplicate_literal_removal,[],[f1899]) ).
fof(f1899,plain,
! [X0] :
( ~ empty(sK25(X0))
| nowhere_dense(sK25(X0),X0)
| ~ top_str(X0)
| ~ topological_space(X0)
| ~ top_str(X0)
| ~ topological_space(X0) ),
inference(resolution,[],[f603,f624]) ).
fof(f1912,plain,
! [X0] :
( ~ empty(sK24(X0))
| nowhere_dense(sK24(X0),X0)
| ~ top_str(X0)
| ~ topological_space(X0) ),
inference(duplicate_literal_removal,[],[f1898]) ).
fof(f1898,plain,
! [X0] :
( ~ empty(sK24(X0))
| nowhere_dense(sK24(X0),X0)
| ~ top_str(X0)
| ~ topological_space(X0)
| ~ top_str(X0)
| ~ topological_space(X0) ),
inference(resolution,[],[f603,f622]) ).
fof(f1889,plain,
! [X0] :
( ~ empty(sK15(X0))
| nowhere_dense(sK15(X0),X0)
| ~ top_str(X0)
| ~ topological_space(X0)
| ~ rel_str(X0) ),
inference(resolution,[],[f603,f572]) ).
fof(f1888,plain,
! [X0] :
( ~ empty(sK14(X0))
| nowhere_dense(sK14(X0),X0)
| ~ top_str(X0)
| ~ topological_space(X0)
| ~ rel_str(X0) ),
inference(resolution,[],[f603,f571]) ).
fof(f1916,plain,
! [X0] :
( ~ empty(cast_as_carrier_subset(X0))
| nowhere_dense(cast_as_carrier_subset(X0),X0)
| ~ top_str(X0)
| ~ topological_space(X0) ),
inference(subsumption_resolution,[],[f1882,f508]) ).
fof(f1882,plain,
! [X0] :
( ~ empty(cast_as_carrier_subset(X0))
| nowhere_dense(cast_as_carrier_subset(X0),X0)
| ~ top_str(X0)
| ~ topological_space(X0)
| ~ one_sorted_str(X0) ),
inference(resolution,[],[f603,f513]) ).
fof(f1881,plain,
! [X0,X1] :
( ~ empty(X0)
| nowhere_dense(X0,X1)
| ~ top_str(X1)
| ~ topological_space(X1)
| ~ in(X0,powerset(the_carrier(X1))) ),
inference(resolution,[],[f603,f641]) ).
fof(f1880,plain,
! [X0,X1] :
( ~ empty(X0)
| nowhere_dense(X0,X1)
| ~ top_str(X1)
| ~ topological_space(X1)
| ~ subset(X0,the_carrier(X1)) ),
inference(resolution,[],[f603,f654]) ).
fof(f1879,plain,
! [X0,X1] :
( ~ empty(X0)
| nowhere_dense(X0,X1)
| ~ top_str(X1)
| ~ topological_space(X1)
| ~ in(X0,sK30(the_carrier(X1))) ),
inference(resolution,[],[f603,f1156]) ).
fof(f603,plain,
! [X0,X1] :
( ~ element(X1,powerset(the_carrier(X0)))
| ~ empty(X1)
| nowhere_dense(X1,X0)
| ~ top_str(X0)
| ~ topological_space(X0) ),
inference(cnf_transformation,[],[f272]) ).
fof(f272,plain,
! [X0] :
( ! [X1] :
( nowhere_dense(X1,X0)
| ~ empty(X1)
| ~ element(X1,powerset(the_carrier(X0))) )
| ~ top_str(X0)
| ~ topological_space(X0) ),
inference(flattening,[],[f271]) ).
fof(f271,plain,
! [X0] :
( ! [X1] :
( nowhere_dense(X1,X0)
| ~ empty(X1)
| ~ element(X1,powerset(the_carrier(X0))) )
| ~ top_str(X0)
| ~ topological_space(X0) ),
inference(ennf_transformation,[],[f18]) ).
fof(f18,axiom,
! [X0] :
( ( top_str(X0)
& topological_space(X0) )
=> ! [X1] :
( element(X1,powerset(the_carrier(X0)))
=> ( empty(X1)
=> nowhere_dense(X1,X0) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc3_tops_1) ).
fof(f1878,plain,
! [X0] :
( ~ empty(sK28(sK9(sK11(powerset(the_carrier(X0))))))
| boundary_set(sK28(sK9(sK11(powerset(the_carrier(X0))))),X0)
| ~ top_str(X0) ),
inference(subsumption_resolution,[],[f1872,f440]) ).
fof(f1872,plain,
! [X0] :
( empty(powerset(the_carrier(X0)))
| ~ empty(sK28(sK9(sK11(powerset(the_carrier(X0))))))
| boundary_set(sK28(sK9(sK11(powerset(the_carrier(X0))))),X0)
| ~ top_str(X0) ),
inference(resolution,[],[f1792,f509]) ).
fof(f1875,plain,
! [X0,X1] :
( element(X1,X0)
| ~ in(X1,sK28(sK9(sK11(powerset(X0))))) ),
inference(subsumption_resolution,[],[f1869,f440]) ).
fof(f1869,plain,
! [X0,X1] :
( empty(powerset(X0))
| element(X1,X0)
| ~ in(X1,sK28(sK9(sK11(powerset(X0))))) ),
inference(resolution,[],[f1792,f663]) ).
fof(f1792,plain,
! [X0] :
( element(sK28(sK9(sK11(X0))),X0)
| empty(X0) ),
inference(subsumption_resolution,[],[f1781,f506]) ).
fof(f1781,plain,
! [X0] :
( element(sK28(sK9(sK11(X0))),X0)
| empty(X0)
| empty(sK11(X0)) ),
inference(resolution,[],[f1144,f1251]) ).
fof(f1867,plain,
! [X0] :
( ~ empty(X0)
| empty_set = sK28(sK10(powerset(sK28(sK11(powerset(X0)))))) ),
inference(resolution,[],[f1847,f1475]) ).
fof(f1866,plain,
! [X0] :
( ~ empty(X0)
| empty_set = sK28(sK9(sK30(sK28(sK11(powerset(X0)))))) ),
inference(resolution,[],[f1847,f1331]) ).
fof(f1865,plain,
! [X0] :
( ~ empty(X0)
| empty_set = sK28(sK9(powerset(sK28(sK11(powerset(X0)))))) ),
inference(resolution,[],[f1847,f1287]) ).
fof(f1864,plain,
! [X0] :
( ~ empty(X0)
| empty_set = sK28(sK30(sK28(sK11(powerset(X0))))) ),
inference(resolution,[],[f1847,f1209]) ).
fof(f1863,plain,
! [X0] :
( ~ empty(X0)
| empty_set = sK28(powerset(sK28(powerset(sK28(sK11(powerset(X0))))))) ),
inference(resolution,[],[f1847,f1024]) ).
fof(f1862,plain,
! [X0] :
( ~ empty(X0)
| empty_set = sK28(powerset(sK28(sK11(powerset(X0))))) ),
inference(resolution,[],[f1847,f1020]) ).
fof(f1861,plain,
! [X0,X1] :
( ~ empty(X0)
| sK28(powerset(X1)) = sK28(sK11(powerset(X0)))
| ~ empty(X1) ),
inference(resolution,[],[f1847,f1019]) ).
fof(f1860,plain,
! [X0,X1] :
( ~ empty(X0)
| sK28(sK11(powerset(X0))) = X1
| ~ empty(X1) ),
inference(resolution,[],[f1847,f655]) ).
fof(f1859,plain,
! [X0] :
( ~ empty(X0)
| empty_set = sK28(sK11(powerset(X0))) ),
inference(resolution,[],[f1847,f574]) ).
fof(f1847,plain,
! [X0] :
( empty(sK28(sK11(powerset(X0))))
| ~ empty(X0) ),
inference(resolution,[],[f1805,f874]) ).
fof(f1856,plain,
! [X0,X1] :
( ~ empty(X0)
| in(sK32(sK28(sK11(powerset(X0))),X1),X1)
| sK28(sK11(powerset(X0))) = X1 ),
inference(resolution,[],[f1805,f652]) ).
fof(f1855,plain,
! [X0,X1] :
( ~ empty(X0)
| in(sK32(X1,sK28(sK11(powerset(X0)))),X1)
| sK28(sK11(powerset(X0))) = X1 ),
inference(resolution,[],[f1805,f652]) ).
fof(f1854,plain,
! [X0] :
( ~ empty(X0)
| empty(sK28(sK11(powerset(X0)))) ),
inference(resolution,[],[f1805,f1803]) ).
fof(f1853,plain,
! [X0] :
( ~ empty(X0)
| empty(sK28(sK11(powerset(X0)))) ),
inference(resolution,[],[f1805,f1508]) ).
fof(f1852,plain,
! [X0] :
( ~ empty(X0)
| empty(sK28(sK11(powerset(X0)))) ),
inference(resolution,[],[f1805,f1498]) ).
fof(f1851,plain,
! [X0] :
( ~ empty(X0)
| empty(sK28(sK11(powerset(X0)))) ),
inference(resolution,[],[f1805,f1430]) ).
fof(f1850,plain,
! [X0] :
( ~ empty(X0)
| empty(sK28(sK11(powerset(X0)))) ),
inference(resolution,[],[f1805,f1488]) ).
fof(f1849,plain,
! [X0] :
( ~ empty(X0)
| empty(sK28(sK11(powerset(X0)))) ),
inference(resolution,[],[f1805,f1319]) ).
fof(f1848,plain,
! [X0] :
( ~ empty(X0)
| empty(sK28(sK11(powerset(X0)))) ),
inference(resolution,[],[f1805,f1251]) ).
fof(f1805,plain,
! [X0,X1] :
( ~ in(X1,sK28(sK11(powerset(X0))))
| ~ empty(X0) ),
inference(subsumption_resolution,[],[f1799,f440]) ).
fof(f1799,plain,
! [X0,X1] :
( empty(powerset(X0))
| ~ empty(X0)
| ~ in(X1,sK28(sK11(powerset(X0)))) ),
inference(resolution,[],[f1791,f666]) ).
fof(f1839,plain,
! [X0] : ~ in(powerset(X0),sK28(sK11(sK30(X0)))),
inference(resolution,[],[f1835,f640]) ).
fof(f1846,plain,
! [X0] :
( ~ rel_str(X0)
| ~ transitive_relstr(X0)
| ~ reflexive_relstr(X0)
| empty_carrier(X0)
| in(sK22(X0),powerset(the_carrier(X0))) ),
inference(subsumption_resolution,[],[f1845,f440]) ).
fof(f1845,plain,
! [X0] :
( ~ rel_str(X0)
| ~ transitive_relstr(X0)
| ~ reflexive_relstr(X0)
| empty_carrier(X0)
| empty(powerset(the_carrier(X0)))
| in(sK22(X0),powerset(the_carrier(X0))) ),
inference(resolution,[],[f598,f642]) ).
fof(f1844,plain,
! [X0] :
( ~ rel_str(X0)
| ~ transitive_relstr(X0)
| ~ reflexive_relstr(X0)
| empty_carrier(X0)
| finite(sK22(X0))
| ~ finite(the_carrier(X0)) ),
inference(resolution,[],[f598,f517]) ).
fof(f1842,plain,
! [X0,X1] :
( ~ rel_str(X0)
| ~ transitive_relstr(X0)
| ~ reflexive_relstr(X0)
| empty_carrier(X0)
| element(X1,the_carrier(X0))
| ~ in(X1,sK22(X0)) ),
inference(resolution,[],[f598,f663]) ).
fof(f598,plain,
! [X0] :
( element(sK22(X0),powerset(the_carrier(X0)))
| ~ rel_str(X0)
| ~ transitive_relstr(X0)
| ~ reflexive_relstr(X0)
| empty_carrier(X0) ),
inference(cnf_transformation,[],[f369]) ).
fof(f369,plain,
! [X0] :
( ( ~ empty(sK22(X0))
& element(sK22(X0),powerset(the_carrier(X0))) )
| ~ rel_str(X0)
| ~ transitive_relstr(X0)
| ~ reflexive_relstr(X0)
| empty_carrier(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK22])],[f266,f368]) ).
fof(f368,plain,
! [X0] :
( ? [X1] :
( ~ empty(X1)
& element(X1,powerset(the_carrier(X0))) )
=> ( ~ empty(sK22(X0))
& element(sK22(X0),powerset(the_carrier(X0))) ) ),
introduced(choice_axiom,[]) ).
fof(f266,plain,
! [X0] :
( ? [X1] :
( ~ empty(X1)
& element(X1,powerset(the_carrier(X0))) )
| ~ rel_str(X0)
| ~ transitive_relstr(X0)
| ~ reflexive_relstr(X0)
| empty_carrier(X0) ),
inference(flattening,[],[f265]) ).
fof(f265,plain,
! [X0] :
( ? [X1] :
( ~ empty(X1)
& element(X1,powerset(the_carrier(X0))) )
| ~ rel_str(X0)
| ~ transitive_relstr(X0)
| ~ reflexive_relstr(X0)
| empty_carrier(X0) ),
inference(ennf_transformation,[],[f162]) ).
fof(f162,plain,
! [X0] :
( ( rel_str(X0)
& transitive_relstr(X0)
& reflexive_relstr(X0)
& ~ empty_carrier(X0) )
=> ? [X1] :
( ~ empty(X1)
& element(X1,powerset(the_carrier(X0))) ) ),
inference(pure_predicate_removal,[],[f136]) ).
fof(f136,plain,
! [X0] :
( ( rel_str(X0)
& transitive_relstr(X0)
& reflexive_relstr(X0)
& ~ empty_carrier(X0) )
=> ? [X1] :
( lower_relstr_subset(X1,X0)
& ~ empty(X1)
& element(X1,powerset(the_carrier(X0))) ) ),
inference(pure_predicate_removal,[],[f107]) ).
fof(f107,axiom,
! [X0] :
( ( rel_str(X0)
& transitive_relstr(X0)
& reflexive_relstr(X0)
& ~ empty_carrier(X0) )
=> ? [X1] :
( lower_relstr_subset(X1,X0)
& directed_subset(X1,X0)
& ~ empty(X1)
& element(X1,powerset(the_carrier(X0))) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc9_waybel_0) ).
fof(f1836,plain,
! [X0] :
( finite(sK28(sK11(sK30(X0))))
| ~ finite(X0) ),
inference(subsumption_resolution,[],[f1829,f637]) ).
fof(f1829,plain,
! [X0] :
( empty(sK30(X0))
| finite(sK28(sK11(sK30(X0))))
| ~ finite(X0) ),
inference(resolution,[],[f1803,f1161]) ).
fof(f1838,plain,
! [X0] :
( ~ finite(X0)
| finite(sK28(sK11(sK30(X0)))) ),
inference(resolution,[],[f1835,f819]) ).
fof(f1835,plain,
! [X0] : in(sK28(sK11(sK30(X0))),powerset(X0)),
inference(subsumption_resolution,[],[f1828,f637]) ).
fof(f1828,plain,
! [X0] :
( empty(sK30(X0))
| in(sK28(sK11(sK30(X0))),powerset(X0)) ),
inference(resolution,[],[f1803,f1163]) ).
fof(f1808,plain,
! [X0] :
( ~ in(X0,sK28(sK11(X0)))
| empty(X0) ),
inference(resolution,[],[f1803,f640]) ).
fof(f1806,plain,
! [X0] :
( finite(sK28(sK11(powerset(X0))))
| ~ finite(X0) ),
inference(subsumption_resolution,[],[f1800,f440]) ).
fof(f1800,plain,
! [X0] :
( empty(powerset(X0))
| finite(sK28(sK11(powerset(X0))))
| ~ finite(X0) ),
inference(resolution,[],[f1791,f517]) ).
fof(f1821,plain,
! [X0] :
( empty(sK28(powerset(X0)))
| element(sK28(sK11(sK28(powerset(X0)))),X0) ),
inference(resolution,[],[f1803,f1155]) ).
fof(f1831,plain,
! [X0] :
( ~ finite(X0)
| finite(sK28(sK11(powerset(X0)))) ),
inference(subsumption_resolution,[],[f1811,f440]) ).
fof(f1811,plain,
! [X0] :
( empty(powerset(X0))
| ~ finite(X0)
| finite(sK28(sK11(powerset(X0)))) ),
inference(resolution,[],[f1803,f819]) ).
fof(f1830,plain,
! [X0,X1] :
( ~ in(X1,sK28(sK11(powerset(X0))))
| ~ empty(X0) ),
inference(subsumption_resolution,[],[f1810,f440]) ).
fof(f1810,plain,
! [X0,X1] :
( empty(powerset(X0))
| ~ in(X1,sK28(sK11(powerset(X0))))
| ~ empty(X0) ),
inference(resolution,[],[f1803,f997]) ).
fof(f1803,plain,
! [X0] :
( in(sK28(sK11(X0)),X0)
| empty(X0) ),
inference(duplicate_literal_removal,[],[f1802]) ).
fof(f1802,plain,
! [X0] :
( empty(X0)
| empty(X0)
| in(sK28(sK11(X0)),X0) ),
inference(resolution,[],[f1791,f642]) ).
fof(f1807,plain,
! [X0] :
( ~ empty(sK28(sK11(powerset(the_carrier(X0)))))
| boundary_set(sK28(sK11(powerset(the_carrier(X0)))),X0)
| ~ top_str(X0) ),
inference(subsumption_resolution,[],[f1801,f440]) ).
fof(f1801,plain,
! [X0] :
( empty(powerset(the_carrier(X0)))
| ~ empty(sK28(sK11(powerset(the_carrier(X0)))))
| boundary_set(sK28(sK11(powerset(the_carrier(X0)))),X0)
| ~ top_str(X0) ),
inference(resolution,[],[f1791,f509]) ).
fof(f1791,plain,
! [X0] :
( element(sK28(sK11(X0)),X0)
| empty(X0) ),
inference(subsumption_resolution,[],[f1780,f506]) ).
fof(f1780,plain,
! [X0] :
( element(sK28(sK11(X0)),X0)
| empty(X0)
| empty(sK11(X0)) ),
inference(resolution,[],[f1144,f874]) ).
fof(f1788,plain,
! [X0,X1] :
( element(sK32(sK11(X0),X1),X0)
| empty(X0)
| in(sK32(sK11(X0),X1),X1)
| sK11(X0) = X1 ),
inference(resolution,[],[f1144,f652]) ).
fof(f1787,plain,
! [X0,X1] :
( element(sK32(X0,sK11(X1)),X1)
| empty(X1)
| in(sK32(X0,sK11(X1)),X0)
| sK11(X1) = X0 ),
inference(resolution,[],[f1144,f652]) ).
fof(f1797,plain,
! [X0] :
( element(sK28(sK10(sK10(sK11(X0)))),X0)
| empty(X0) ),
inference(subsumption_resolution,[],[f1786,f506]) ).
fof(f1786,plain,
! [X0] :
( element(sK28(sK10(sK10(sK11(X0)))),X0)
| empty(X0)
| empty(sK11(X0)) ),
inference(resolution,[],[f1144,f1508]) ).
fof(f1796,plain,
! [X0] :
( element(sK28(sK10(sK9(sK11(X0)))),X0)
| empty(X0) ),
inference(subsumption_resolution,[],[f1785,f506]) ).
fof(f1785,plain,
! [X0] :
( element(sK28(sK10(sK9(sK11(X0)))),X0)
| empty(X0)
| empty(sK11(X0)) ),
inference(resolution,[],[f1144,f1498]) ).
fof(f1794,plain,
! [X0] :
( element(sK28(sK9(sK10(sK11(X0)))),X0)
| empty(X0) ),
inference(subsumption_resolution,[],[f1783,f506]) ).
fof(f1783,plain,
! [X0] :
( element(sK28(sK9(sK10(sK11(X0)))),X0)
| empty(X0)
| empty(sK11(X0)) ),
inference(resolution,[],[f1144,f1488]) ).
fof(f1793,plain,
! [X0] :
( element(sK28(sK9(sK9(sK11(X0)))),X0)
| empty(X0) ),
inference(subsumption_resolution,[],[f1782,f506]) ).
fof(f1782,plain,
! [X0] :
( element(sK28(sK9(sK9(sK11(X0)))),X0)
| empty(X0)
| empty(sK11(X0)) ),
inference(resolution,[],[f1144,f1319]) ).
fof(f1144,plain,
! [X0,X1] :
( ~ in(X0,sK11(X1))
| element(X0,X1)
| empty(X1) ),
inference(resolution,[],[f663,f505]) ).
fof(f1772,plain,
! [X0] : ~ in(powerset(X0),sK28(sK10(sK10(sK30(X0))))),
inference(resolution,[],[f1722,f640]) ).
fof(f1779,plain,
! [X0] :
( ~ rel_str(X0)
| ~ transitive_relstr(X0)
| ~ reflexive_relstr(X0)
| empty_carrier(X0)
| in(sK21(X0),powerset(the_carrier(X0))) ),
inference(subsumption_resolution,[],[f1778,f440]) ).
fof(f1778,plain,
! [X0] :
( ~ rel_str(X0)
| ~ transitive_relstr(X0)
| ~ reflexive_relstr(X0)
| empty_carrier(X0)
| empty(powerset(the_carrier(X0)))
| in(sK21(X0),powerset(the_carrier(X0))) ),
inference(resolution,[],[f596,f642]) ).
fof(f1777,plain,
! [X0] :
( ~ rel_str(X0)
| ~ transitive_relstr(X0)
| ~ reflexive_relstr(X0)
| empty_carrier(X0)
| finite(sK21(X0))
| ~ finite(the_carrier(X0)) ),
inference(resolution,[],[f596,f517]) ).
fof(f1775,plain,
! [X0,X1] :
( ~ rel_str(X0)
| ~ transitive_relstr(X0)
| ~ reflexive_relstr(X0)
| empty_carrier(X0)
| element(X1,the_carrier(X0))
| ~ in(X1,sK21(X0)) ),
inference(resolution,[],[f596,f663]) ).
fof(f596,plain,
! [X0] :
( element(sK21(X0),powerset(the_carrier(X0)))
| ~ rel_str(X0)
| ~ transitive_relstr(X0)
| ~ reflexive_relstr(X0)
| empty_carrier(X0) ),
inference(cnf_transformation,[],[f367]) ).
fof(f367,plain,
! [X0] :
( ( ~ empty(sK21(X0))
& element(sK21(X0),powerset(the_carrier(X0))) )
| ~ rel_str(X0)
| ~ transitive_relstr(X0)
| ~ reflexive_relstr(X0)
| empty_carrier(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK21])],[f264,f366]) ).
fof(f366,plain,
! [X0] :
( ? [X1] :
( ~ empty(X1)
& element(X1,powerset(the_carrier(X0))) )
=> ( ~ empty(sK21(X0))
& element(sK21(X0),powerset(the_carrier(X0))) ) ),
introduced(choice_axiom,[]) ).
fof(f264,plain,
! [X0] :
( ? [X1] :
( ~ empty(X1)
& element(X1,powerset(the_carrier(X0))) )
| ~ rel_str(X0)
| ~ transitive_relstr(X0)
| ~ reflexive_relstr(X0)
| empty_carrier(X0) ),
inference(flattening,[],[f263]) ).
fof(f263,plain,
! [X0] :
( ? [X1] :
( ~ empty(X1)
& element(X1,powerset(the_carrier(X0))) )
| ~ rel_str(X0)
| ~ transitive_relstr(X0)
| ~ reflexive_relstr(X0)
| empty_carrier(X0) ),
inference(ennf_transformation,[],[f157]) ).
fof(f157,plain,
! [X0] :
( ( rel_str(X0)
& transitive_relstr(X0)
& reflexive_relstr(X0)
& ~ empty_carrier(X0) )
=> ? [X1] :
( ~ empty(X1)
& element(X1,powerset(the_carrier(X0))) ) ),
inference(pure_predicate_removal,[],[f129]) ).
fof(f129,plain,
! [X0] :
( ( rel_str(X0)
& transitive_relstr(X0)
& reflexive_relstr(X0)
& ~ empty_carrier(X0) )
=> ? [X1] :
( upper_relstr_subset(X1,X0)
& ~ empty(X1)
& element(X1,powerset(the_carrier(X0))) ) ),
inference(pure_predicate_removal,[],[f74]) ).
fof(f74,axiom,
! [X0] :
( ( rel_str(X0)
& transitive_relstr(X0)
& reflexive_relstr(X0)
& ~ empty_carrier(X0) )
=> ? [X1] :
( upper_relstr_subset(X1,X0)
& filtered_subset(X1,X0)
& ~ empty(X1)
& element(X1,powerset(the_carrier(X0))) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc10_waybel_0) ).
fof(f1768,plain,
! [X0] : ~ in(powerset(X0),sK28(sK10(sK9(sK30(X0))))),
inference(resolution,[],[f1695,f640]) ).
fof(f1763,plain,
! [X0] : ~ in(powerset(X0),sK28(sK9(sK10(sK30(X0))))),
inference(resolution,[],[f1668,f640]) ).
fof(f1723,plain,
! [X0] :
( finite(sK28(sK10(sK10(sK30(X0)))))
| ~ finite(X0) ),
inference(subsumption_resolution,[],[f1717,f637]) ).
fof(f1717,plain,
! [X0] :
( empty(sK30(X0))
| finite(sK28(sK10(sK10(sK30(X0)))))
| ~ finite(X0) ),
inference(resolution,[],[f1508,f1161]) ).
fof(f1771,plain,
! [X0] :
( ~ finite(X0)
| finite(sK28(sK10(sK10(sK30(X0))))) ),
inference(resolution,[],[f1722,f819]) ).
fof(f1770,plain,
! [X0,X1] :
( ~ in(X0,sK28(sK10(sK10(sK30(X1)))))
| ~ empty(X1) ),
inference(resolution,[],[f1722,f997]) ).
fof(f1722,plain,
! [X0] : in(sK28(sK10(sK10(sK30(X0)))),powerset(X0)),
inference(subsumption_resolution,[],[f1716,f637]) ).
fof(f1716,plain,
! [X0] :
( empty(sK30(X0))
| in(sK28(sK10(sK10(sK30(X0)))),powerset(X0)) ),
inference(resolution,[],[f1508,f1163]) ).
fof(f1697,plain,
! [X0] :
( ~ in(X0,sK28(sK10(sK10(X0))))
| empty(X0) ),
inference(resolution,[],[f1508,f640]) ).
fof(f1696,plain,
! [X0] :
( finite(sK28(sK10(sK9(sK30(X0)))))
| ~ finite(X0) ),
inference(subsumption_resolution,[],[f1690,f637]) ).
fof(f1690,plain,
! [X0] :
( empty(sK30(X0))
| finite(sK28(sK10(sK9(sK30(X0)))))
| ~ finite(X0) ),
inference(resolution,[],[f1498,f1161]) ).
fof(f1767,plain,
! [X0] :
( ~ finite(X0)
| finite(sK28(sK10(sK9(sK30(X0))))) ),
inference(resolution,[],[f1695,f819]) ).
fof(f1766,plain,
! [X0,X1] :
( ~ in(X0,sK28(sK10(sK9(sK30(X1)))))
| ~ empty(X1) ),
inference(resolution,[],[f1695,f997]) ).
fof(f1695,plain,
! [X0] : in(sK28(sK10(sK9(sK30(X0)))),powerset(X0)),
inference(subsumption_resolution,[],[f1689,f637]) ).
fof(f1689,plain,
! [X0] :
( empty(sK30(X0))
| in(sK28(sK10(sK9(sK30(X0)))),powerset(X0)) ),
inference(resolution,[],[f1498,f1163]) ).
fof(f1765,plain,
! [X0] :
( ~ join_complete_relstr(X0)
| ~ upper_bounded_relstr(X0)
| ~ antisymmetric_relstr(X0)
| ~ reflexive_relstr(X0)
| empty_carrier(X0)
| ~ rel_str(X0)
| with_suprema_relstr(X0) ),
inference(resolution,[],[f565,f563]) ).
fof(f565,plain,
! [X0] :
( sP3(X0)
| ~ join_complete_relstr(X0)
| ~ upper_bounded_relstr(X0)
| ~ antisymmetric_relstr(X0)
| ~ reflexive_relstr(X0)
| empty_carrier(X0)
| ~ rel_str(X0) ),
inference(cnf_transformation,[],[f328]) ).
fof(f328,plain,
! [X0] :
( sP3(X0)
| ~ join_complete_relstr(X0)
| ~ upper_bounded_relstr(X0)
| ~ antisymmetric_relstr(X0)
| ~ reflexive_relstr(X0)
| empty_carrier(X0)
| ~ rel_str(X0) ),
inference(definition_folding,[],[f230,f327]) ).
fof(f327,plain,
! [X0] :
( ( upper_bounded_relstr(X0)
& with_suprema_relstr(X0)
& antisymmetric_relstr(X0)
& reflexive_relstr(X0)
& ~ empty_carrier(X0) )
| ~ sP3(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP3])]) ).
fof(f230,plain,
! [X0] :
( ( upper_bounded_relstr(X0)
& with_suprema_relstr(X0)
& antisymmetric_relstr(X0)
& reflexive_relstr(X0)
& ~ empty_carrier(X0) )
| ~ join_complete_relstr(X0)
| ~ upper_bounded_relstr(X0)
| ~ antisymmetric_relstr(X0)
| ~ reflexive_relstr(X0)
| empty_carrier(X0)
| ~ rel_str(X0) ),
inference(flattening,[],[f229]) ).
fof(f229,plain,
! [X0] :
( ( upper_bounded_relstr(X0)
& with_suprema_relstr(X0)
& antisymmetric_relstr(X0)
& reflexive_relstr(X0)
& ~ empty_carrier(X0) )
| ~ join_complete_relstr(X0)
| ~ upper_bounded_relstr(X0)
| ~ antisymmetric_relstr(X0)
| ~ reflexive_relstr(X0)
| empty_carrier(X0)
| ~ rel_str(X0) ),
inference(ennf_transformation,[],[f7]) ).
fof(f7,axiom,
! [X0] :
( rel_str(X0)
=> ( ( join_complete_relstr(X0)
& upper_bounded_relstr(X0)
& antisymmetric_relstr(X0)
& reflexive_relstr(X0)
& ~ empty_carrier(X0) )
=> ( upper_bounded_relstr(X0)
& with_suprema_relstr(X0)
& antisymmetric_relstr(X0)
& reflexive_relstr(X0)
& ~ empty_carrier(X0) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc14_waybel_0) ).
fof(f1670,plain,
! [X0] :
( ~ in(X0,sK28(sK10(sK9(X0))))
| empty(X0) ),
inference(resolution,[],[f1498,f640]) ).
fof(f1669,plain,
! [X0] :
( finite(sK28(sK9(sK10(sK30(X0)))))
| ~ finite(X0) ),
inference(subsumption_resolution,[],[f1663,f637]) ).
fof(f1663,plain,
! [X0] :
( empty(sK30(X0))
| finite(sK28(sK9(sK10(sK30(X0)))))
| ~ finite(X0) ),
inference(resolution,[],[f1488,f1161]) ).
fof(f1762,plain,
! [X0] :
( ~ finite(X0)
| finite(sK28(sK9(sK10(sK30(X0))))) ),
inference(resolution,[],[f1668,f819]) ).
fof(f1761,plain,
! [X0,X1] :
( ~ in(X0,sK28(sK9(sK10(sK30(X1)))))
| ~ empty(X1) ),
inference(resolution,[],[f1668,f997]) ).
fof(f1668,plain,
! [X0] : in(sK28(sK9(sK10(sK30(X0)))),powerset(X0)),
inference(subsumption_resolution,[],[f1662,f637]) ).
fof(f1662,plain,
! [X0] :
( empty(sK30(X0))
| in(sK28(sK9(sK10(sK30(X0)))),powerset(X0)) ),
inference(resolution,[],[f1488,f1163]) ).
fof(f1643,plain,
! [X0] :
( ~ in(X0,sK28(sK9(sK10(X0))))
| empty(X0) ),
inference(resolution,[],[f1488,f640]) ).
fof(f1744,plain,
! [X0,X1] :
( powerset(X1) = X0
| ~ in(sK32(X0,powerset(X1)),X0)
| ~ subset(sK32(X0,powerset(X1)),X1) ),
inference(resolution,[],[f653,f876]) ).
fof(f653,plain,
! [X0,X1] :
( ~ in(sK32(X0,X1),X1)
| X0 = X1
| ~ in(sK32(X0,X1),X0) ),
inference(cnf_transformation,[],[f392]) ).
fof(f392,plain,
! [X0,X1] :
( X0 = X1
| ( ( ~ in(sK32(X0,X1),X1)
| ~ in(sK32(X0,X1),X0) )
& ( in(sK32(X0,X1),X1)
| in(sK32(X0,X1),X0) ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK32])],[f390,f391]) ).
fof(f391,plain,
! [X0,X1] :
( ? [X2] :
( ( ~ in(X2,X1)
| ~ in(X2,X0) )
& ( in(X2,X1)
| in(X2,X0) ) )
=> ( ( ~ in(sK32(X0,X1),X1)
| ~ in(sK32(X0,X1),X0) )
& ( in(sK32(X0,X1),X1)
| in(sK32(X0,X1),X0) ) ) ),
introduced(choice_axiom,[]) ).
fof(f390,plain,
! [X0,X1] :
( X0 = X1
| ? [X2] :
( ( ~ in(X2,X1)
| ~ in(X2,X0) )
& ( in(X2,X1)
| in(X2,X0) ) ) ),
inference(nnf_transformation,[],[f311]) ).
fof(f311,plain,
! [X0,X1] :
( X0 = X1
| ? [X2] :
( in(X2,X0)
<~> in(X2,X1) ) ),
inference(ennf_transformation,[],[f112]) ).
fof(f112,axiom,
! [X0,X1] :
( ! [X2] :
( in(X2,X0)
<=> in(X2,X1) )
=> X0 = X1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t2_tarski) ).
fof(f1511,plain,
! [X0] :
( finite(sK28(sK10(sK10(powerset(X0)))))
| ~ finite(X0) ),
inference(subsumption_resolution,[],[f1505,f440]) ).
fof(f1505,plain,
! [X0] :
( empty(powerset(X0))
| finite(sK28(sK10(sK10(powerset(X0)))))
| ~ finite(X0) ),
inference(resolution,[],[f1457,f517]) ).
fof(f1709,plain,
! [X0] :
( empty(sK28(powerset(X0)))
| element(sK28(sK10(sK10(sK28(powerset(X0))))),X0) ),
inference(resolution,[],[f1508,f1155]) ).
fof(f1721,plain,
! [X0] :
( element(sK28(sK10(sK10(sK10(X0)))),X0)
| empty(X0) ),
inference(subsumption_resolution,[],[f1704,f503]) ).
fof(f1704,plain,
! [X0] :
( empty(sK10(X0))
| element(sK28(sK10(sK10(sK10(X0)))),X0)
| empty(X0) ),
inference(resolution,[],[f1508,f1143]) ).
fof(f1720,plain,
! [X0] :
( element(sK28(sK10(sK10(sK9(X0)))),X0)
| empty(X0) ),
inference(subsumption_resolution,[],[f1703,f501]) ).
fof(f1703,plain,
! [X0] :
( empty(sK9(X0))
| element(sK28(sK10(sK10(sK9(X0)))),X0)
| empty(X0) ),
inference(resolution,[],[f1508,f1142]) ).
fof(f1719,plain,
! [X0] :
( ~ finite(X0)
| finite(sK28(sK10(sK10(powerset(X0))))) ),
inference(subsumption_resolution,[],[f1700,f440]) ).
fof(f1700,plain,
! [X0] :
( empty(powerset(X0))
| ~ finite(X0)
| finite(sK28(sK10(sK10(powerset(X0))))) ),
inference(resolution,[],[f1508,f819]) ).
fof(f1718,plain,
! [X0,X1] :
( ~ in(X1,sK28(sK10(sK10(powerset(X0)))))
| ~ empty(X0) ),
inference(subsumption_resolution,[],[f1699,f440]) ).
fof(f1699,plain,
! [X0,X1] :
( empty(powerset(X0))
| ~ in(X1,sK28(sK10(sK10(powerset(X0)))))
| ~ empty(X0) ),
inference(resolution,[],[f1508,f997]) ).
fof(f1508,plain,
! [X0] :
( in(sK28(sK10(sK10(X0))),X0)
| empty(X0) ),
inference(duplicate_literal_removal,[],[f1507]) ).
fof(f1507,plain,
! [X0] :
( empty(X0)
| empty(X0)
| in(sK28(sK10(sK10(X0))),X0) ),
inference(resolution,[],[f1457,f642]) ).
fof(f1501,plain,
! [X0] :
( finite(sK28(sK10(sK9(powerset(X0)))))
| ~ finite(X0) ),
inference(subsumption_resolution,[],[f1495,f440]) ).
fof(f1495,plain,
! [X0] :
( empty(powerset(X0))
| finite(sK28(sK10(sK9(powerset(X0)))))
| ~ finite(X0) ),
inference(resolution,[],[f1456,f517]) ).
fof(f1682,plain,
! [X0] :
( empty(sK28(powerset(X0)))
| element(sK28(sK10(sK9(sK28(powerset(X0))))),X0) ),
inference(resolution,[],[f1498,f1155]) ).
fof(f1694,plain,
! [X0] :
( element(sK28(sK10(sK9(sK10(X0)))),X0)
| empty(X0) ),
inference(subsumption_resolution,[],[f1677,f503]) ).
fof(f1677,plain,
! [X0] :
( empty(sK10(X0))
| element(sK28(sK10(sK9(sK10(X0)))),X0)
| empty(X0) ),
inference(resolution,[],[f1498,f1143]) ).
fof(f1693,plain,
! [X0] :
( element(sK28(sK10(sK9(sK9(X0)))),X0)
| empty(X0) ),
inference(subsumption_resolution,[],[f1676,f501]) ).
fof(f1676,plain,
! [X0] :
( empty(sK9(X0))
| element(sK28(sK10(sK9(sK9(X0)))),X0)
| empty(X0) ),
inference(resolution,[],[f1498,f1142]) ).
fof(f1692,plain,
! [X0] :
( ~ finite(X0)
| finite(sK28(sK10(sK9(powerset(X0))))) ),
inference(subsumption_resolution,[],[f1673,f440]) ).
fof(f1673,plain,
! [X0] :
( empty(powerset(X0))
| ~ finite(X0)
| finite(sK28(sK10(sK9(powerset(X0))))) ),
inference(resolution,[],[f1498,f819]) ).
fof(f1691,plain,
! [X0,X1] :
( ~ in(X1,sK28(sK10(sK9(powerset(X0)))))
| ~ empty(X0) ),
inference(subsumption_resolution,[],[f1672,f440]) ).
fof(f1672,plain,
! [X0,X1] :
( empty(powerset(X0))
| ~ in(X1,sK28(sK10(sK9(powerset(X0)))))
| ~ empty(X0) ),
inference(resolution,[],[f1498,f997]) ).
fof(f1498,plain,
! [X0] :
( in(sK28(sK10(sK9(X0))),X0)
| empty(X0) ),
inference(duplicate_literal_removal,[],[f1497]) ).
fof(f1497,plain,
! [X0] :
( empty(X0)
| empty(X0)
| in(sK28(sK10(sK9(X0))),X0) ),
inference(resolution,[],[f1456,f642]) ).
fof(f1491,plain,
! [X0] :
( finite(sK28(sK9(sK10(powerset(X0)))))
| ~ finite(X0) ),
inference(subsumption_resolution,[],[f1485,f440]) ).
fof(f1485,plain,
! [X0] :
( empty(powerset(X0))
| finite(sK28(sK9(sK10(powerset(X0)))))
| ~ finite(X0) ),
inference(resolution,[],[f1423,f517]) ).
fof(f1655,plain,
! [X0] :
( empty(sK28(powerset(X0)))
| element(sK28(sK9(sK10(sK28(powerset(X0))))),X0) ),
inference(resolution,[],[f1488,f1155]) ).
fof(f1667,plain,
! [X0] :
( element(sK28(sK9(sK10(sK10(X0)))),X0)
| empty(X0) ),
inference(subsumption_resolution,[],[f1650,f503]) ).
fof(f1650,plain,
! [X0] :
( empty(sK10(X0))
| element(sK28(sK9(sK10(sK10(X0)))),X0)
| empty(X0) ),
inference(resolution,[],[f1488,f1143]) ).
fof(f1666,plain,
! [X0] :
( element(sK28(sK9(sK10(sK9(X0)))),X0)
| empty(X0) ),
inference(subsumption_resolution,[],[f1649,f501]) ).
fof(f1649,plain,
! [X0] :
( empty(sK9(X0))
| element(sK28(sK9(sK10(sK9(X0)))),X0)
| empty(X0) ),
inference(resolution,[],[f1488,f1142]) ).
fof(f1665,plain,
! [X0] :
( ~ finite(X0)
| finite(sK28(sK9(sK10(powerset(X0))))) ),
inference(subsumption_resolution,[],[f1646,f440]) ).
fof(f1646,plain,
! [X0] :
( empty(powerset(X0))
| ~ finite(X0)
| finite(sK28(sK9(sK10(powerset(X0))))) ),
inference(resolution,[],[f1488,f819]) ).
fof(f1664,plain,
! [X0,X1] :
( ~ in(X1,sK28(sK9(sK10(powerset(X0)))))
| ~ empty(X0) ),
inference(subsumption_resolution,[],[f1645,f440]) ).
fof(f1645,plain,
! [X0,X1] :
( empty(powerset(X0))
| ~ in(X1,sK28(sK9(sK10(powerset(X0)))))
| ~ empty(X0) ),
inference(resolution,[],[f1488,f997]) ).
fof(f1488,plain,
! [X0] :
( in(sK28(sK9(sK10(X0))),X0)
| empty(X0) ),
inference(duplicate_literal_removal,[],[f1487]) ).
fof(f1487,plain,
! [X0] :
( empty(X0)
| empty(X0)
| in(sK28(sK9(sK10(X0))),X0) ),
inference(resolution,[],[f1423,f642]) ).
fof(f1599,plain,
! [X0,X1] :
( in(sK32(sK30(X0),X1),X1)
| sK30(X0) = X1
| finite(sK32(sK30(X0),X1))
| ~ finite(X0) ),
inference(resolution,[],[f652,f1161]) ).
fof(f1598,plain,
! [X0,X1] :
( in(sK32(sK30(X0),X1),X1)
| sK30(X0) = X1
| in(sK32(sK30(X0),X1),powerset(X0)) ),
inference(resolution,[],[f652,f1163]) ).
fof(f1597,plain,
! [X0,X1] :
( in(sK32(sK28(sK30(X0)),X1),X1)
| sK28(sK30(X0)) = X1
| ~ empty(X0) ),
inference(resolution,[],[f652,f1188]) ).
fof(f1596,plain,
! [X0,X1] :
( in(sK32(sK28(sK10(sK30(X0))),X1),X1)
| sK28(sK10(sK30(X0))) = X1
| ~ empty(X0) ),
inference(resolution,[],[f652,f1460]) ).
fof(f1595,plain,
! [X0,X1] :
( in(sK32(sK28(sK10(powerset(X0))),X1),X1)
| sK28(sK10(powerset(X0))) = X1
| ~ empty(X0) ),
inference(resolution,[],[f652,f1432]) ).
fof(f1594,plain,
! [X0,X1] :
( in(sK32(sK28(sK9(sK30(X0))),X1),X1)
| sK28(sK9(sK30(X0))) = X1
| ~ empty(X0) ),
inference(resolution,[],[f652,f1276]) ).
fof(f1593,plain,
! [X0,X1] :
( in(sK32(sK28(sK9(powerset(X0))),X1),X1)
| sK28(sK9(powerset(X0))) = X1
| ~ empty(X0) ),
inference(resolution,[],[f652,f1253]) ).
fof(f1592,plain,
! [X0,X1] :
( in(sK32(sK28(powerset(X0)),X1),X1)
| sK28(powerset(X0)) = X1
| ~ empty(X0) ),
inference(resolution,[],[f652,f1008]) ).
fof(f1591,plain,
! [X0,X1] :
( in(sK32(sK28(powerset(X0)),X1),X1)
| sK28(powerset(X0)) = X1
| element(sK32(sK28(powerset(X0)),X1),X0) ),
inference(resolution,[],[f652,f1155]) ).
fof(f1590,plain,
! [X0,X1] :
( in(sK32(sK23(X0),X1),X1)
| sK23(X0) = X1
| ~ empty(the_carrier(X0))
| ~ sP5(X0) ),
inference(resolution,[],[f652,f1007]) ).
fof(f1589,plain,
! [X0,X1] :
( in(sK32(sK15(X0),X1),X1)
| sK15(X0) = X1
| ~ empty(the_carrier(X0))
| ~ rel_str(X0) ),
inference(resolution,[],[f652,f1006]) ).
fof(f1588,plain,
! [X0,X1] :
( in(sK32(sK14(X0),X1),X1)
| sK14(X0) = X1
| ~ empty(the_carrier(X0))
| ~ rel_str(X0) ),
inference(resolution,[],[f652,f1005]) ).
fof(f1587,plain,
! [X0,X1] :
( in(sK32(sK12(X0),X1),X1)
| sK12(X0) = X1
| ~ empty(the_carrier(X0))
| ~ top_str(X0) ),
inference(resolution,[],[f652,f1003]) ).
fof(f1586,plain,
! [X0,X1] :
( in(sK32(sK10(X0),X1),X1)
| sK10(X0) = X1
| element(sK32(sK10(X0),X1),X0)
| empty(X0) ),
inference(resolution,[],[f652,f1143]) ).
fof(f1585,plain,
! [X0,X1] :
( in(sK32(sK9(X0),X1),X1)
| sK9(X0) = X1
| element(sK32(sK9(X0),X1),X0)
| empty(X0) ),
inference(resolution,[],[f652,f1142]) ).
fof(f1583,plain,
! [X0,X1] :
( in(sK32(cast_as_carrier_subset(X0),X1),X1)
| cast_as_carrier_subset(X0) = X1
| ~ empty(the_carrier(X0))
| ~ one_sorted_str(X0) ),
inference(resolution,[],[f652,f998]) ).
fof(f1582,plain,
! [X0,X1] :
( in(sK32(powerset(X0),X1),X1)
| powerset(X0) = X1
| ~ finite(X0)
| finite(sK32(powerset(X0),X1)) ),
inference(resolution,[],[f652,f819]) ).
fof(f1581,plain,
! [X2,X0,X1] :
( in(sK32(powerset(X0),X1),X1)
| powerset(X0) = X1
| ~ in(X2,sK32(powerset(X0),X1))
| ~ empty(X0) ),
inference(resolution,[],[f652,f997]) ).
fof(f1580,plain,
! [X0,X1] :
( in(sK32(X0,X1),X1)
| X0 = X1
| ~ empty(X0) ),
inference(resolution,[],[f652,f656]) ).
fof(f1579,plain,
! [X0,X1] :
( in(sK32(X0,X1),X1)
| X0 = X1
| ~ in(X0,sK32(X0,X1)) ),
inference(resolution,[],[f652,f640]) ).
fof(f1578,plain,
! [X0,X1] :
( in(sK32(X0,sK30(X1)),X0)
| sK30(X1) = X0
| finite(sK32(X0,sK30(X1)))
| ~ finite(X1) ),
inference(resolution,[],[f652,f1161]) ).
fof(f1577,plain,
! [X0,X1] :
( in(sK32(X0,sK30(X1)),X0)
| sK30(X1) = X0
| in(sK32(X0,sK30(X1)),powerset(X1)) ),
inference(resolution,[],[f652,f1163]) ).
fof(f1576,plain,
! [X0,X1] :
( in(sK32(X0,sK28(sK30(X1))),X0)
| sK28(sK30(X1)) = X0
| ~ empty(X1) ),
inference(resolution,[],[f652,f1188]) ).
fof(f1575,plain,
! [X0,X1] :
( in(sK32(X0,sK28(sK10(sK30(X1)))),X0)
| sK28(sK10(sK30(X1))) = X0
| ~ empty(X1) ),
inference(resolution,[],[f652,f1460]) ).
fof(f1574,plain,
! [X0,X1] :
( in(sK32(X0,sK28(sK10(powerset(X1)))),X0)
| sK28(sK10(powerset(X1))) = X0
| ~ empty(X1) ),
inference(resolution,[],[f652,f1432]) ).
fof(f1573,plain,
! [X0,X1] :
( in(sK32(X0,sK28(sK9(sK30(X1)))),X0)
| sK28(sK9(sK30(X1))) = X0
| ~ empty(X1) ),
inference(resolution,[],[f652,f1276]) ).
fof(f1572,plain,
! [X0,X1] :
( in(sK32(X0,sK28(sK9(powerset(X1)))),X0)
| sK28(sK9(powerset(X1))) = X0
| ~ empty(X1) ),
inference(resolution,[],[f652,f1253]) ).
fof(f1571,plain,
! [X0,X1] :
( in(sK32(X0,sK28(powerset(X1))),X0)
| sK28(powerset(X1)) = X0
| ~ empty(X1) ),
inference(resolution,[],[f652,f1008]) ).
fof(f1570,plain,
! [X0,X1] :
( in(sK32(X0,sK28(powerset(X1))),X0)
| sK28(powerset(X1)) = X0
| element(sK32(X0,sK28(powerset(X1))),X1) ),
inference(resolution,[],[f652,f1155]) ).
fof(f1569,plain,
! [X0,X1] :
( in(sK32(X0,sK23(X1)),X0)
| sK23(X1) = X0
| ~ empty(the_carrier(X1))
| ~ sP5(X1) ),
inference(resolution,[],[f652,f1007]) ).
fof(f1568,plain,
! [X0,X1] :
( in(sK32(X0,sK15(X1)),X0)
| sK15(X1) = X0
| ~ empty(the_carrier(X1))
| ~ rel_str(X1) ),
inference(resolution,[],[f652,f1006]) ).
fof(f1567,plain,
! [X0,X1] :
( in(sK32(X0,sK14(X1)),X0)
| sK14(X1) = X0
| ~ empty(the_carrier(X1))
| ~ rel_str(X1) ),
inference(resolution,[],[f652,f1005]) ).
fof(f1566,plain,
! [X0,X1] :
( in(sK32(X0,sK12(X1)),X0)
| sK12(X1) = X0
| ~ empty(the_carrier(X1))
| ~ top_str(X1) ),
inference(resolution,[],[f652,f1003]) ).
fof(f1565,plain,
! [X0,X1] :
( in(sK32(X0,sK10(X1)),X0)
| sK10(X1) = X0
| element(sK32(X0,sK10(X1)),X1)
| empty(X1) ),
inference(resolution,[],[f652,f1143]) ).
fof(f1564,plain,
! [X0,X1] :
( in(sK32(X0,sK9(X1)),X0)
| sK9(X1) = X0
| element(sK32(X0,sK9(X1)),X1)
| empty(X1) ),
inference(resolution,[],[f652,f1142]) ).
fof(f1562,plain,
! [X0,X1] :
( in(sK32(X0,cast_as_carrier_subset(X1)),X0)
| cast_as_carrier_subset(X1) = X0
| ~ empty(the_carrier(X1))
| ~ one_sorted_str(X1) ),
inference(resolution,[],[f652,f998]) ).
fof(f1561,plain,
! [X0,X1] :
( in(sK32(X0,powerset(X1)),X0)
| powerset(X1) = X0
| ~ finite(X1)
| finite(sK32(X0,powerset(X1))) ),
inference(resolution,[],[f652,f819]) ).
fof(f1560,plain,
! [X2,X0,X1] :
( in(sK32(X0,powerset(X1)),X0)
| powerset(X1) = X0
| ~ in(X2,sK32(X0,powerset(X1)))
| ~ empty(X1) ),
inference(resolution,[],[f652,f997]) ).
fof(f1559,plain,
! [X0,X1] :
( in(sK32(X0,X1),X0)
| X0 = X1
| ~ empty(X1) ),
inference(resolution,[],[f652,f656]) ).
fof(f1558,plain,
! [X0,X1] :
( in(sK32(X0,X1),X0)
| X0 = X1
| ~ in(X1,sK32(X0,X1)) ),
inference(resolution,[],[f652,f640]) ).
fof(f652,plain,
! [X0,X1] :
( in(sK32(X0,X1),X1)
| in(sK32(X0,X1),X0)
| X0 = X1 ),
inference(cnf_transformation,[],[f392]) ).
fof(f1557,plain,
( empty(sK10(powerset(empty_set)))
| in(empty_set,sK10(powerset(empty_set))) ),
inference(resolution,[],[f1556,f642]) ).
fof(f1556,plain,
element(empty_set,sK10(powerset(empty_set))),
inference(superposition,[],[f633,f1533]) ).
fof(f1555,plain,
( in(empty_set,sK10(powerset(empty_set)))
| empty(sK10(powerset(empty_set))) ),
inference(superposition,[],[f874,f1533]) ).
fof(f1533,plain,
empty_set = sK28(sK10(powerset(empty_set))),
inference(resolution,[],[f1475,f438]) ).
fof(f1547,plain,
empty_set = sK28(sK10(powerset(empty_set))),
inference(forward_demodulation,[],[f1545,f766]) ).
fof(f1545,plain,
empty_set = sK28(sK10(powerset(sK50))),
inference(resolution,[],[f1475,f747]) ).
fof(f1546,plain,
empty_set = sK28(sK10(powerset(empty_set))),
inference(forward_demodulation,[],[f1544,f765]) ).
fof(f1544,plain,
! [X0] : empty_set = sK28(sK10(powerset(sK29(X0)))),
inference(resolution,[],[f1475,f635]) ).
fof(f1543,plain,
! [X0] :
( empty_set = sK28(sK10(powerset(sK28(sK30(X0)))))
| ~ empty(X0) ),
inference(resolution,[],[f1475,f1204]) ).
fof(f1542,plain,
! [X0] :
( empty_set = sK28(sK10(powerset(sK28(sK10(sK30(X0))))))
| ~ empty(X0) ),
inference(resolution,[],[f1475,f1520]) ).
fof(f1541,plain,
! [X0] :
( empty_set = sK28(sK10(powerset(sK28(sK10(powerset(X0))))))
| ~ empty(X0) ),
inference(resolution,[],[f1475,f1471]) ).
fof(f1540,plain,
! [X0] :
( empty_set = sK28(sK10(powerset(sK28(sK9(sK30(X0))))))
| ~ empty(X0) ),
inference(resolution,[],[f1475,f1324]) ).
fof(f1539,plain,
! [X0] :
( empty_set = sK28(sK10(powerset(sK28(sK9(powerset(X0))))))
| ~ empty(X0) ),
inference(resolution,[],[f1475,f1280]) ).
fof(f1538,plain,
! [X0] :
( empty_set = sK28(sK10(powerset(sK28(powerset(X0)))))
| ~ empty(X0) ),
inference(resolution,[],[f1475,f1018]) ).
fof(f1537,plain,
! [X0] :
( empty_set = sK28(sK10(powerset(sK23(X0))))
| ~ sP5(X0) ),
inference(resolution,[],[f1475,f616]) ).
fof(f1536,plain,
! [X0] :
( empty_set = sK28(sK10(powerset(sK15(X0))))
| ~ rel_str(X0)
| ~ empty(the_carrier(X0)) ),
inference(resolution,[],[f1475,f1082]) ).
fof(f1535,plain,
! [X0] :
( empty_set = sK28(sK10(powerset(sK14(X0))))
| ~ rel_str(X0)
| ~ empty(the_carrier(X0)) ),
inference(resolution,[],[f1475,f1078]) ).
fof(f1534,plain,
! [X0] :
( empty_set = sK28(sK10(powerset(sK12(X0))))
| ~ top_str(X0) ),
inference(resolution,[],[f1475,f511]) ).
fof(f1532,plain,
! [X0] :
( empty_set = sK28(sK10(powerset(cast_as_carrier_subset(X0))))
| ~ one_sorted_str(X0)
| ~ empty(the_carrier(X0)) ),
inference(resolution,[],[f1475,f1064]) ).
fof(f1475,plain,
! [X0] :
( ~ empty(X0)
| empty_set = sK28(sK10(powerset(X0))) ),
inference(resolution,[],[f1471,f574]) ).
fof(f1531,plain,
! [X0] :
( ~ empty(X0)
| empty_set = sK28(sK9(sK30(sK28(sK10(sK30(X0)))))) ),
inference(resolution,[],[f1520,f1331]) ).
fof(f1530,plain,
! [X0] :
( ~ empty(X0)
| empty_set = sK28(sK9(powerset(sK28(sK10(sK30(X0)))))) ),
inference(resolution,[],[f1520,f1287]) ).
fof(f1529,plain,
! [X0] :
( ~ empty(X0)
| empty_set = sK28(sK30(sK28(sK10(sK30(X0))))) ),
inference(resolution,[],[f1520,f1209]) ).
fof(f1528,plain,
! [X0] :
( ~ empty(X0)
| empty_set = sK28(powerset(sK28(powerset(sK28(sK10(sK30(X0))))))) ),
inference(resolution,[],[f1520,f1024]) ).
fof(f1527,plain,
! [X0] :
( ~ empty(X0)
| empty_set = sK28(powerset(sK28(sK10(sK30(X0))))) ),
inference(resolution,[],[f1520,f1020]) ).
fof(f1526,plain,
! [X0,X1] :
( ~ empty(X0)
| sK28(powerset(X1)) = sK28(sK10(sK30(X0)))
| ~ empty(X1) ),
inference(resolution,[],[f1520,f1019]) ).
fof(f1525,plain,
! [X0,X1] :
( ~ empty(X0)
| sK28(sK10(sK30(X0))) = X1
| ~ empty(X1) ),
inference(resolution,[],[f1520,f655]) ).
fof(f1524,plain,
! [X0] :
( ~ empty(X0)
| empty_set = sK28(sK10(sK30(X0))) ),
inference(resolution,[],[f1520,f574]) ).
fof(f1520,plain,
! [X0] :
( empty(sK28(sK10(sK30(X0))))
| ~ empty(X0) ),
inference(resolution,[],[f1460,f874]) ).
fof(f1523,plain,
! [X0] :
( ~ empty(X0)
| empty(sK28(sK10(sK30(X0)))) ),
inference(resolution,[],[f1460,f1430]) ).
fof(f1522,plain,
! [X0] :
( ~ empty(X0)
| empty(sK28(sK10(sK30(X0)))) ),
inference(resolution,[],[f1460,f1319]) ).
fof(f1521,plain,
! [X0] :
( ~ empty(X0)
| empty(sK28(sK10(sK30(X0)))) ),
inference(resolution,[],[f1460,f1251]) ).
fof(f1460,plain,
! [X0,X1] :
( ~ in(X0,sK28(sK10(sK30(X1))))
| ~ empty(X1) ),
inference(resolution,[],[f1458,f997]) ).
fof(f1518,plain,
! [X0] :
( ~ empty(the_carrier(X0))
| empty_carrier(X0)
| ~ rel_str(X0) ),
inference(global_subsumption,[],[f437,f439,f450,f449,f448,f447,f446,f471,f470,f469,f468,f467,f466,f465,f464,f463,f462,f461,f460,f459,f482,f481,f480,f479,f478,f477,f476,f475,f474,f473,f472,f483,f498,f749,f497,f750,f496,f751,f495,f752,f494,f753,f493,f754,f492,f755,f491,f756,f490,f757,f489,f758,f488,f759,f487,f760,f485,f761,f555,f565,f567,f762,f575,f587,f588,f590,f596,f598,f602,f603,f605,f604,f612,f614,f632,f631,f634,f646,f645,f648,f649,f650,f653,f652,f748,f661,f660,f432,f433,f434,f438,f667,f668,f669,f670,f671,f672,f673,f674,f675,f676,f677,f678,f679,f680,f681,f682,f683,f684,f685,f686,f687,f688,f689,f690,f691,f692,f693,f694,f695,f696,f697,f698,f699,f700,f701,f702,f703,f704,f705,f706,f707,f708,f709,f710,f711,f712,f713,f714,f715,f716,f717,f718,f719,f720,f721,f722,f723,f724,f725,f726,f727,f728,f729,f730,f731,f732,f733,f734,f735,f736,f737,f738,f739,f740,f741,f742,f743,f744,f745,f746,f747,f440,f441,f442,f443,f444,f445,f451,f452,f453,f454,f455,f456,f457,f458,f484,f635,f637,f638,f639,f435,f499,f508,f518,f534,f535,f536,f550,f551,f553,f554,f563,f573,f633,f486,f501,f503,f504,f506,f507,f511,f515,f516,f574,f766,f765,f607,f616,f770,f656,f512,f520,f521,f522,f524,f609,f610,f617,f618,f619,f620,f621,f636,f640,f641,f657,f658,f764,f791,f795,f792,f798,f769,f436,f500,f502,f505,f583,f584,f586,f589,f592,f629,f630,f654,f655,f510,f513,f517,f821,f826,f818,f822,f526,f528,f529,f571,f572,f600,f601,f615,f623,f625,f626,f628,f642,f878,f887,f866,f874,f886,f900,f902,f643,f904,f876,f879,f880,f881,f905,f907,f909,f911,f644,f914,f647,f651,f664,f915,f916,f917,f665,f810,f811,f923,f819,f820,f825,f514,f853,f854,f859,f860,f861,f877,f882,f883,f884,f885,f799,f519,f955,f960,f962,f959,f954,f577,f937,f940,f945,f948,f951,f913,f995,f581,f594,f595,f666,f999,f1008,f1018,f1020,f1027,f1028,f1021,f996,f537,f1036,f1037,f1038,f1022,f1023,f1043,f935,f956,f1049,f1050,f997,f1052,f1057,f1059,f1060,f1061,f998,f1064,f1069,f1070,f1073,f1074,f540,f1003,f1005,f1078,f1079,f1080,f1006,f1082,f1083,f1084,f1007,f1047,f543,f1019,f1088,f1090,f1091,f1092,f1093,f1094,f1071,f1081,f1085,f1024,f1099,f1101,f1102,f1103,f1104,f1105,f544,f570,f578,f579,f582,f585,f1114,f1116,f591,f1117,f1118,f1120,f622,f1121,f1122,f1124,f624,f1125,f1126,f1128,f627,f1129,f1130,f1132,f659,f1133,f1134,f1136,f663,f1138,f1139,f1140,f1144,f1145,f1146,f1147,f1148,f1149,f1150,f1151,f1152,f1153,f1154,f1155,f1157,f1156,f1159,f1160,f1161,f1165,f1163,f523,f1178,f1179,f1180,f1181,f1167,f1190,f1182,f1183,f1184,f1185,f1186,f1187,f1188,f1204,f1205,f1206,f1207,f1208,f1209,f1210,f1213,f1214,f1216,f1217,f1220,f1221,f597,f1211,f1229,f1232,f1230,f1212,f1215,f1241,f1137,f1142,f1246,f1252,f599,f1251,f1271,f1272,f1266,f1254,f1255,f1274,f1277,f1275,f1278,f1253,f1281,f1280,f1282,f1283,f1284,f1285,f1286,f509,f1288,f1289,f1290,f1311,f1297,f1298,f1309,f1308,f1307,f1305,f1313,f1312,f1273,f1320,f1321,f1323,f1276,f1325,f1324,f1326,f1327,f1328,f1329,f1330,f1287,f1332,f1334,f1335,f1336,f1337,f1338,f1339,f1340,f1341,f1344,f1345,f1333,f1353,f1354,f1355,f559,f1319,f1376,f1377,f1378,f1369,f1322,f1358,f1379,f1381,f1382,f1380,f1331,f1385,f1387,f1388,f1389,f1390,f1391,f1392,f1393,f1394,f1397,f1398,f1386,f1408,f1409,f1410,f576,f1412,f1413,f1414,f1418,f1417,f1383,f1143,f1424,f1422,f1431,f1434,f1430,f1454,f1455,f1447,f1433,f1435,f1458,f1460,f1461,f1459,f580,f1465,f1467,f1470,f1462,f1432,f1472,f1473,f1474,f1471,f1475,f1476,f1477,f1478,f1479,f1480,f1481,f1482,f1423,f1489,f1490,f1491,f1492,f1488,f1456,f1499,f1500,f1501,f1502,f1498,f1457,f1509,f1510,f1511,f1512,f1508,f593,f1514,f1515]) ).
fof(f1519,plain,
! [X0] :
( ~ rel_str(X0)
| ~ reflexive_relstr(X0)
| empty_carrier(X0)
| in(sK20(X0),powerset(the_carrier(X0))) ),
inference(subsumption_resolution,[],[f1517,f440]) ).
fof(f1517,plain,
! [X0] :
( ~ rel_str(X0)
| ~ reflexive_relstr(X0)
| empty_carrier(X0)
| empty(powerset(the_carrier(X0)))
| in(sK20(X0),powerset(the_carrier(X0))) ),
inference(resolution,[],[f593,f642]) ).
fof(f1515,plain,
! [X0,X1] :
( ~ rel_str(X0)
| ~ reflexive_relstr(X0)
| empty_carrier(X0)
| ~ empty(the_carrier(X0))
| ~ in(X1,sK20(X0)) ),
inference(resolution,[],[f593,f666]) ).
fof(f1514,plain,
! [X0,X1] :
( ~ rel_str(X0)
| ~ reflexive_relstr(X0)
| empty_carrier(X0)
| element(X1,the_carrier(X0))
| ~ in(X1,sK20(X0)) ),
inference(resolution,[],[f593,f663]) ).
fof(f593,plain,
! [X0] :
( element(sK20(X0),powerset(the_carrier(X0)))
| ~ rel_str(X0)
| ~ reflexive_relstr(X0)
| empty_carrier(X0) ),
inference(cnf_transformation,[],[f365]) ).
fof(f365,plain,
! [X0] :
( ( finite(sK20(X0))
& ~ empty(sK20(X0))
& element(sK20(X0),powerset(the_carrier(X0))) )
| ~ rel_str(X0)
| ~ reflexive_relstr(X0)
| empty_carrier(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK20])],[f262,f364]) ).
fof(f364,plain,
! [X0] :
( ? [X1] :
( finite(X1)
& ~ empty(X1)
& element(X1,powerset(the_carrier(X0))) )
=> ( finite(sK20(X0))
& ~ empty(sK20(X0))
& element(sK20(X0),powerset(the_carrier(X0))) ) ),
introduced(choice_axiom,[]) ).
fof(f262,plain,
! [X0] :
( ? [X1] :
( finite(X1)
& ~ empty(X1)
& element(X1,powerset(the_carrier(X0))) )
| ~ rel_str(X0)
| ~ reflexive_relstr(X0)
| empty_carrier(X0) ),
inference(flattening,[],[f261]) ).
fof(f261,plain,
! [X0] :
( ? [X1] :
( finite(X1)
& ~ empty(X1)
& element(X1,powerset(the_carrier(X0))) )
| ~ rel_str(X0)
| ~ reflexive_relstr(X0)
| empty_carrier(X0) ),
inference(ennf_transformation,[],[f134]) ).
fof(f134,plain,
! [X0] :
( ( rel_str(X0)
& reflexive_relstr(X0)
& ~ empty_carrier(X0) )
=> ? [X1] :
( finite(X1)
& ~ empty(X1)
& element(X1,powerset(the_carrier(X0))) ) ),
inference(pure_predicate_removal,[],[f127]) ).
fof(f127,plain,
! [X0] :
( ( rel_str(X0)
& reflexive_relstr(X0)
& ~ empty_carrier(X0) )
=> ? [X1] :
( directed_subset(X1,X0)
& finite(X1)
& ~ empty(X1)
& element(X1,powerset(the_carrier(X0))) ) ),
inference(pure_predicate_removal,[],[f90]) ).
fof(f90,axiom,
! [X0] :
( ( rel_str(X0)
& reflexive_relstr(X0)
& ~ empty_carrier(X0) )
=> ? [X1] :
( filtered_subset(X1,X0)
& directed_subset(X1,X0)
& finite(X1)
& ~ empty(X1)
& element(X1,powerset(the_carrier(X0))) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc2_waybel_0) ).
fof(f1512,plain,
! [X0] :
( ~ empty(sK28(sK10(sK10(powerset(the_carrier(X0))))))
| boundary_set(sK28(sK10(sK10(powerset(the_carrier(X0))))),X0)
| ~ top_str(X0) ),
inference(subsumption_resolution,[],[f1506,f440]) ).
fof(f1506,plain,
! [X0] :
( empty(powerset(the_carrier(X0)))
| ~ empty(sK28(sK10(sK10(powerset(the_carrier(X0))))))
| boundary_set(sK28(sK10(sK10(powerset(the_carrier(X0))))),X0)
| ~ top_str(X0) ),
inference(resolution,[],[f1457,f509]) ).
fof(f1509,plain,
! [X0,X1] :
( element(X1,X0)
| ~ in(X1,sK28(sK10(sK10(powerset(X0))))) ),
inference(subsumption_resolution,[],[f1503,f440]) ).
fof(f1503,plain,
! [X0,X1] :
( empty(powerset(X0))
| element(X1,X0)
| ~ in(X1,sK28(sK10(sK10(powerset(X0))))) ),
inference(resolution,[],[f1457,f663]) ).
fof(f1457,plain,
! [X0] :
( element(sK28(sK10(sK10(X0))),X0)
| empty(X0) ),
inference(subsumption_resolution,[],[f1442,f503]) ).
fof(f1442,plain,
! [X0] :
( empty(sK10(X0))
| element(sK28(sK10(sK10(X0))),X0)
| empty(X0) ),
inference(resolution,[],[f1430,f1143]) ).
fof(f1502,plain,
! [X0] :
( ~ empty(sK28(sK10(sK9(powerset(the_carrier(X0))))))
| boundary_set(sK28(sK10(sK9(powerset(the_carrier(X0))))),X0)
| ~ top_str(X0) ),
inference(subsumption_resolution,[],[f1496,f440]) ).
fof(f1496,plain,
! [X0] :
( empty(powerset(the_carrier(X0)))
| ~ empty(sK28(sK10(sK9(powerset(the_carrier(X0))))))
| boundary_set(sK28(sK10(sK9(powerset(the_carrier(X0))))),X0)
| ~ top_str(X0) ),
inference(resolution,[],[f1456,f509]) ).
fof(f1499,plain,
! [X0,X1] :
( element(X1,X0)
| ~ in(X1,sK28(sK10(sK9(powerset(X0))))) ),
inference(subsumption_resolution,[],[f1493,f440]) ).
fof(f1493,plain,
! [X0,X1] :
( empty(powerset(X0))
| element(X1,X0)
| ~ in(X1,sK28(sK10(sK9(powerset(X0))))) ),
inference(resolution,[],[f1456,f663]) ).
fof(f1456,plain,
! [X0] :
( element(sK28(sK10(sK9(X0))),X0)
| empty(X0) ),
inference(subsumption_resolution,[],[f1441,f501]) ).
fof(f1441,plain,
! [X0] :
( empty(sK9(X0))
| element(sK28(sK10(sK9(X0))),X0)
| empty(X0) ),
inference(resolution,[],[f1430,f1142]) ).
fof(f1492,plain,
! [X0] :
( ~ empty(sK28(sK9(sK10(powerset(the_carrier(X0))))))
| boundary_set(sK28(sK9(sK10(powerset(the_carrier(X0))))),X0)
| ~ top_str(X0) ),
inference(subsumption_resolution,[],[f1486,f440]) ).
fof(f1486,plain,
! [X0] :
( empty(powerset(the_carrier(X0)))
| ~ empty(sK28(sK9(sK10(powerset(the_carrier(X0))))))
| boundary_set(sK28(sK9(sK10(powerset(the_carrier(X0))))),X0)
| ~ top_str(X0) ),
inference(resolution,[],[f1423,f509]) ).
fof(f1489,plain,
! [X0,X1] :
( element(X1,X0)
| ~ in(X1,sK28(sK9(sK10(powerset(X0))))) ),
inference(subsumption_resolution,[],[f1483,f440]) ).
fof(f1483,plain,
! [X0,X1] :
( empty(powerset(X0))
| element(X1,X0)
| ~ in(X1,sK28(sK9(sK10(powerset(X0))))) ),
inference(resolution,[],[f1423,f663]) ).
fof(f1423,plain,
! [X0] :
( element(sK28(sK9(sK10(X0))),X0)
| empty(X0) ),
inference(subsumption_resolution,[],[f1420,f503]) ).
fof(f1420,plain,
! [X0] :
( element(sK28(sK9(sK10(X0))),X0)
| empty(X0)
| empty(sK10(X0)) ),
inference(resolution,[],[f1143,f1251]) ).
fof(f1482,plain,
! [X0] :
( ~ empty(X0)
| empty_set = sK28(sK9(sK30(sK28(sK10(powerset(X0)))))) ),
inference(resolution,[],[f1471,f1331]) ).
fof(f1481,plain,
! [X0] :
( ~ empty(X0)
| empty_set = sK28(sK9(powerset(sK28(sK10(powerset(X0)))))) ),
inference(resolution,[],[f1471,f1287]) ).
fof(f1480,plain,
! [X0] :
( ~ empty(X0)
| empty_set = sK28(sK30(sK28(sK10(powerset(X0))))) ),
inference(resolution,[],[f1471,f1209]) ).
fof(f1479,plain,
! [X0] :
( ~ empty(X0)
| empty_set = sK28(powerset(sK28(powerset(sK28(sK10(powerset(X0))))))) ),
inference(resolution,[],[f1471,f1024]) ).
fof(f1478,plain,
! [X0] :
( ~ empty(X0)
| empty_set = sK28(powerset(sK28(sK10(powerset(X0))))) ),
inference(resolution,[],[f1471,f1020]) ).
fof(f1477,plain,
! [X0,X1] :
( ~ empty(X0)
| sK28(powerset(X1)) = sK28(sK10(powerset(X0)))
| ~ empty(X1) ),
inference(resolution,[],[f1471,f1019]) ).
fof(f1476,plain,
! [X0,X1] :
( ~ empty(X0)
| sK28(sK10(powerset(X0))) = X1
| ~ empty(X1) ),
inference(resolution,[],[f1471,f655]) ).
fof(f1471,plain,
! [X0] :
( empty(sK28(sK10(powerset(X0))))
| ~ empty(X0) ),
inference(resolution,[],[f1432,f874]) ).
fof(f1474,plain,
! [X0] :
( ~ empty(X0)
| empty(sK28(sK10(powerset(X0)))) ),
inference(resolution,[],[f1432,f1430]) ).
fof(f1473,plain,
! [X0] :
( ~ empty(X0)
| empty(sK28(sK10(powerset(X0)))) ),
inference(resolution,[],[f1432,f1319]) ).
fof(f1472,plain,
! [X0] :
( ~ empty(X0)
| empty(sK28(sK10(powerset(X0)))) ),
inference(resolution,[],[f1432,f1251]) ).
fof(f1432,plain,
! [X0,X1] :
( ~ in(X1,sK28(sK10(powerset(X0))))
| ~ empty(X0) ),
inference(subsumption_resolution,[],[f1426,f440]) ).
fof(f1426,plain,
! [X0,X1] :
( empty(powerset(X0))
| ~ empty(X0)
| ~ in(X1,sK28(sK10(powerset(X0)))) ),
inference(resolution,[],[f1422,f666]) ).
fof(f1462,plain,
! [X0] : ~ in(powerset(X0),sK28(sK10(sK30(X0)))),
inference(resolution,[],[f1458,f640]) ).
fof(f1470,plain,
! [X0] :
( ~ top_str(X0)
| ~ topological_space(X0)
| empty_carrier(X0)
| in(sK17(X0),powerset(the_carrier(X0))) ),
inference(subsumption_resolution,[],[f1468,f440]) ).
fof(f1468,plain,
! [X0] :
( ~ top_str(X0)
| ~ topological_space(X0)
| empty_carrier(X0)
| empty(powerset(the_carrier(X0)))
| in(sK17(X0),powerset(the_carrier(X0))) ),
inference(resolution,[],[f580,f642]) ).
fof(f1467,plain,
! [X0] :
( ~ top_str(X0)
| ~ topological_space(X0)
| empty_carrier(X0)
| finite(sK17(X0))
| ~ finite(the_carrier(X0)) ),
inference(resolution,[],[f580,f517]) ).
fof(f1465,plain,
! [X0,X1] :
( ~ top_str(X0)
| ~ topological_space(X0)
| empty_carrier(X0)
| element(X1,the_carrier(X0))
| ~ in(X1,sK17(X0)) ),
inference(resolution,[],[f580,f663]) ).
fof(f580,plain,
! [X0] :
( element(sK17(X0),powerset(the_carrier(X0)))
| ~ top_str(X0)
| ~ topological_space(X0)
| empty_carrier(X0) ),
inference(cnf_transformation,[],[f359]) ).
fof(f359,plain,
! [X0] :
( ( closed_subset(sK17(X0),X0)
& ~ empty(sK17(X0))
& element(sK17(X0),powerset(the_carrier(X0))) )
| ~ top_str(X0)
| ~ topological_space(X0)
| empty_carrier(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK17])],[f244,f358]) ).
fof(f358,plain,
! [X0] :
( ? [X1] :
( closed_subset(X1,X0)
& ~ empty(X1)
& element(X1,powerset(the_carrier(X0))) )
=> ( closed_subset(sK17(X0),X0)
& ~ empty(sK17(X0))
& element(sK17(X0),powerset(the_carrier(X0))) ) ),
introduced(choice_axiom,[]) ).
fof(f244,plain,
! [X0] :
( ? [X1] :
( closed_subset(X1,X0)
& ~ empty(X1)
& element(X1,powerset(the_carrier(X0))) )
| ~ top_str(X0)
| ~ topological_space(X0)
| empty_carrier(X0) ),
inference(flattening,[],[f243]) ).
fof(f243,plain,
! [X0] :
( ? [X1] :
( closed_subset(X1,X0)
& ~ empty(X1)
& element(X1,powerset(the_carrier(X0))) )
| ~ top_str(X0)
| ~ topological_space(X0)
| empty_carrier(X0) ),
inference(ennf_transformation,[],[f104]) ).
fof(f104,axiom,
! [X0] :
( ( top_str(X0)
& topological_space(X0)
& ~ empty_carrier(X0) )
=> ? [X1] :
( closed_subset(X1,X0)
& ~ empty(X1)
& element(X1,powerset(the_carrier(X0))) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc7_pre_topc) ).
fof(f1459,plain,
! [X0] :
( finite(sK28(sK10(sK30(X0))))
| ~ finite(X0) ),
inference(subsumption_resolution,[],[f1453,f637]) ).
fof(f1453,plain,
! [X0] :
( empty(sK30(X0))
| finite(sK28(sK10(sK30(X0))))
| ~ finite(X0) ),
inference(resolution,[],[f1430,f1161]) ).
fof(f1461,plain,
! [X0] :
( ~ finite(X0)
| finite(sK28(sK10(sK30(X0)))) ),
inference(resolution,[],[f1458,f819]) ).
fof(f1458,plain,
! [X0] : in(sK28(sK10(sK30(X0))),powerset(X0)),
inference(subsumption_resolution,[],[f1452,f637]) ).
fof(f1452,plain,
! [X0] :
( empty(sK30(X0))
| in(sK28(sK10(sK30(X0))),powerset(X0)) ),
inference(resolution,[],[f1430,f1163]) ).
fof(f1435,plain,
! [X0] :
( ~ in(X0,sK28(sK10(X0)))
| empty(X0) ),
inference(resolution,[],[f1430,f640]) ).
fof(f1433,plain,
! [X0] :
( finite(sK28(sK10(powerset(X0))))
| ~ finite(X0) ),
inference(subsumption_resolution,[],[f1427,f440]) ).
fof(f1427,plain,
! [X0] :
( empty(powerset(X0))
| finite(sK28(sK10(powerset(X0))))
| ~ finite(X0) ),
inference(resolution,[],[f1422,f517]) ).
fof(f1447,plain,
! [X0] :
( empty(sK28(powerset(X0)))
| element(sK28(sK10(sK28(powerset(X0)))),X0) ),
inference(resolution,[],[f1430,f1155]) ).
fof(f1455,plain,
! [X0] :
( ~ finite(X0)
| finite(sK28(sK10(powerset(X0)))) ),
inference(subsumption_resolution,[],[f1438,f440]) ).
fof(f1438,plain,
! [X0] :
( empty(powerset(X0))
| ~ finite(X0)
| finite(sK28(sK10(powerset(X0)))) ),
inference(resolution,[],[f1430,f819]) ).
fof(f1454,plain,
! [X0,X1] :
( ~ in(X1,sK28(sK10(powerset(X0))))
| ~ empty(X0) ),
inference(subsumption_resolution,[],[f1437,f440]) ).
fof(f1437,plain,
! [X0,X1] :
( empty(powerset(X0))
| ~ in(X1,sK28(sK10(powerset(X0))))
| ~ empty(X0) ),
inference(resolution,[],[f1430,f997]) ).
fof(f1430,plain,
! [X0] :
( in(sK28(sK10(X0)),X0)
| empty(X0) ),
inference(duplicate_literal_removal,[],[f1429]) ).
fof(f1429,plain,
! [X0] :
( empty(X0)
| empty(X0)
| in(sK28(sK10(X0)),X0) ),
inference(resolution,[],[f1422,f642]) ).
fof(f1434,plain,
! [X0] :
( ~ empty(sK28(sK10(powerset(the_carrier(X0)))))
| boundary_set(sK28(sK10(powerset(the_carrier(X0)))),X0)
| ~ top_str(X0) ),
inference(subsumption_resolution,[],[f1428,f440]) ).
fof(f1428,plain,
! [X0] :
( empty(powerset(the_carrier(X0)))
| ~ empty(sK28(sK10(powerset(the_carrier(X0)))))
| boundary_set(sK28(sK10(powerset(the_carrier(X0)))),X0)
| ~ top_str(X0) ),
inference(resolution,[],[f1422,f509]) ).
fof(f1422,plain,
! [X0] :
( element(sK28(sK10(X0)),X0)
| empty(X0) ),
inference(subsumption_resolution,[],[f1419,f503]) ).
fof(f1419,plain,
! [X0] :
( element(sK28(sK10(X0)),X0)
| empty(X0)
| empty(sK10(X0)) ),
inference(resolution,[],[f1143,f874]) ).
fof(f1424,plain,
! [X0] :
( element(sK28(sK9(sK9(sK10(X0)))),X0)
| empty(X0) ),
inference(subsumption_resolution,[],[f1421,f503]) ).
fof(f1421,plain,
! [X0] :
( element(sK28(sK9(sK9(sK10(X0)))),X0)
| empty(X0)
| empty(sK10(X0)) ),
inference(resolution,[],[f1143,f1319]) ).
fof(f1143,plain,
! [X0,X1] :
( ~ in(X0,sK10(X1))
| element(X0,X1)
| empty(X1) ),
inference(resolution,[],[f663,f502]) ).
fof(f1383,plain,
! [X0] : ~ in(powerset(X0),sK28(sK9(sK9(sK30(X0))))),
inference(resolution,[],[f1379,f640]) ).
fof(f1417,plain,
! [X0] :
( ~ empty(the_carrier(X0))
| empty_carrier(X0)
| ~ top_str(X0) ),
inference(global_subsumption,[],[f437,f439,f450,f449,f448,f447,f446,f471,f470,f469,f468,f467,f466,f465,f464,f463,f462,f461,f460,f459,f482,f481,f480,f479,f478,f477,f476,f475,f474,f473,f472,f483,f498,f749,f497,f750,f496,f751,f495,f752,f494,f753,f493,f754,f492,f755,f491,f756,f490,f757,f489,f758,f488,f759,f487,f760,f485,f761,f555,f565,f567,f762,f575,f580,f587,f588,f590,f593,f596,f598,f602,f603,f605,f604,f612,f614,f632,f631,f634,f646,f645,f648,f649,f650,f653,f652,f748,f661,f660,f432,f433,f434,f438,f667,f668,f669,f670,f671,f672,f673,f674,f675,f676,f677,f678,f679,f680,f681,f682,f683,f684,f685,f686,f687,f688,f689,f690,f691,f692,f693,f694,f695,f696,f697,f698,f699,f700,f701,f702,f703,f704,f705,f706,f707,f708,f709,f710,f711,f712,f713,f714,f715,f716,f717,f718,f719,f720,f721,f722,f723,f724,f725,f726,f727,f728,f729,f730,f731,f732,f733,f734,f735,f736,f737,f738,f739,f740,f741,f742,f743,f744,f745,f746,f747,f440,f441,f442,f443,f444,f445,f451,f452,f453,f454,f455,f456,f457,f458,f484,f635,f637,f638,f639,f435,f499,f508,f518,f534,f535,f536,f550,f551,f553,f554,f563,f573,f633,f486,f501,f503,f504,f506,f507,f511,f515,f516,f574,f766,f765,f607,f616,f770,f656,f512,f520,f521,f522,f524,f609,f610,f617,f618,f619,f620,f621,f636,f640,f641,f657,f658,f764,f791,f795,f792,f798,f769,f436,f500,f502,f505,f583,f584,f586,f589,f592,f629,f630,f654,f655,f510,f513,f517,f821,f826,f818,f822,f526,f528,f529,f571,f572,f600,f601,f615,f623,f625,f626,f628,f642,f878,f887,f866,f874,f886,f900,f902,f643,f904,f876,f879,f880,f881,f905,f907,f909,f911,f644,f914,f647,f651,f664,f915,f916,f917,f665,f810,f811,f923,f819,f820,f825,f514,f853,f854,f859,f860,f861,f877,f882,f883,f884,f885,f799,f519,f955,f960,f962,f959,f954,f577,f937,f940,f945,f948,f951,f913,f995,f581,f594,f595,f666,f999,f1008,f1018,f1020,f1027,f1028,f1021,f996,f537,f1036,f1037,f1038,f1022,f1023,f1043,f935,f956,f1049,f1050,f997,f1052,f1057,f1059,f1060,f1061,f998,f1064,f1069,f1070,f1073,f1074,f540,f1003,f1005,f1078,f1079,f1080,f1006,f1082,f1083,f1084,f1007,f1047,f543,f1019,f1088,f1090,f1091,f1092,f1093,f1094,f1071,f1081,f1085,f1024,f1099,f1101,f1102,f1103,f1104,f1105,f544,f570,f578,f579,f582,f585,f1114,f1116,f591,f1117,f1118,f1120,f622,f1121,f1122,f1124,f624,f1125,f1126,f1128,f627,f1129,f1130,f1132,f659,f1133,f1134,f1136,f663,f1138,f1139,f1140,f1143,f1144,f1145,f1146,f1147,f1148,f1149,f1150,f1151,f1152,f1153,f1154,f1155,f1157,f1156,f1159,f1160,f1161,f1165,f1163,f523,f1178,f1179,f1180,f1181,f1167,f1190,f1182,f1183,f1184,f1185,f1186,f1187,f1188,f1204,f1205,f1206,f1207,f1208,f1209,f1210,f1213,f1214,f1216,f1217,f1220,f1221,f597,f1211,f1229,f1232,f1230,f1212,f1215,f1241,f1137,f1142,f1246,f1252,f599,f1251,f1271,f1272,f1266,f1254,f1255,f1274,f1277,f1275,f1278,f1253,f1281,f1280,f1282,f1283,f1284,f1285,f1286,f509,f1288,f1289,f1290,f1311,f1297,f1298,f1309,f1308,f1307,f1305,f1313,f1312,f1273,f1320,f1321,f1323,f1276,f1325,f1324,f1326,f1327,f1328,f1329,f1330,f1287,f1332,f1334,f1335,f1336,f1337,f1338,f1339,f1340,f1341,f1344,f1345,f1333,f1353,f1354,f1355,f559,f1319,f1376,f1377,f1378,f1369,f1322,f1358,f1379,f1381,f1382,f1383,f1380,f1331,f1385,f1387,f1388,f1389,f1390,f1391,f1392,f1393,f1394,f1397,f1398,f1386,f1408,f1409,f1410,f576,f1412,f1413]) ).
fof(f1418,plain,
! [X0] :
( ~ top_str(X0)
| ~ topological_space(X0)
| empty_carrier(X0)
| in(sK16(X0),powerset(the_carrier(X0))) ),
inference(subsumption_resolution,[],[f1415,f440]) ).
fof(f1415,plain,
! [X0] :
( ~ top_str(X0)
| ~ topological_space(X0)
| empty_carrier(X0)
| empty(powerset(the_carrier(X0)))
| in(sK16(X0),powerset(the_carrier(X0))) ),
inference(resolution,[],[f576,f642]) ).
fof(f1414,plain,
! [X0] :
( ~ top_str(X0)
| ~ topological_space(X0)
| empty_carrier(X0)
| finite(sK16(X0))
| ~ finite(the_carrier(X0)) ),
inference(resolution,[],[f576,f517]) ).
fof(f1413,plain,
! [X0,X1] :
( ~ top_str(X0)
| ~ topological_space(X0)
| empty_carrier(X0)
| ~ empty(the_carrier(X0))
| ~ in(X1,sK16(X0)) ),
inference(resolution,[],[f576,f666]) ).
fof(f1412,plain,
! [X0,X1] :
( ~ top_str(X0)
| ~ topological_space(X0)
| empty_carrier(X0)
| element(X1,the_carrier(X0))
| ~ in(X1,sK16(X0)) ),
inference(resolution,[],[f576,f663]) ).
fof(f576,plain,
! [X0] :
( element(sK16(X0),powerset(the_carrier(X0)))
| ~ top_str(X0)
| ~ topological_space(X0)
| empty_carrier(X0) ),
inference(cnf_transformation,[],[f357]) ).
fof(f357,plain,
! [X0] :
( ( closed_subset(sK16(X0),X0)
& open_subset(sK16(X0),X0)
& ~ empty(sK16(X0))
& element(sK16(X0),powerset(the_carrier(X0))) )
| ~ top_str(X0)
| ~ topological_space(X0)
| empty_carrier(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK16])],[f242,f356]) ).
fof(f356,plain,
! [X0] :
( ? [X1] :
( closed_subset(X1,X0)
& open_subset(X1,X0)
& ~ empty(X1)
& element(X1,powerset(the_carrier(X0))) )
=> ( closed_subset(sK16(X0),X0)
& open_subset(sK16(X0),X0)
& ~ empty(sK16(X0))
& element(sK16(X0),powerset(the_carrier(X0))) ) ),
introduced(choice_axiom,[]) ).
fof(f242,plain,
! [X0] :
( ? [X1] :
( closed_subset(X1,X0)
& open_subset(X1,X0)
& ~ empty(X1)
& element(X1,powerset(the_carrier(X0))) )
| ~ top_str(X0)
| ~ topological_space(X0)
| empty_carrier(X0) ),
inference(flattening,[],[f241]) ).
fof(f241,plain,
! [X0] :
( ? [X1] :
( closed_subset(X1,X0)
& open_subset(X1,X0)
& ~ empty(X1)
& element(X1,powerset(the_carrier(X0))) )
| ~ top_str(X0)
| ~ topological_space(X0)
| empty_carrier(X0) ),
inference(ennf_transformation,[],[f96]) ).
fof(f96,axiom,
! [X0] :
( ( top_str(X0)
& topological_space(X0)
& ~ empty_carrier(X0) )
=> ? [X1] :
( closed_subset(X1,X0)
& open_subset(X1,X0)
& ~ empty(X1)
& element(X1,powerset(the_carrier(X0))) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc3_tops_1) ).
fof(f1410,plain,
( empty(sK9(sK30(empty_set)))
| in(empty_set,sK9(sK30(empty_set))) ),
inference(resolution,[],[f1409,f642]) ).
fof(f1409,plain,
element(empty_set,sK9(sK30(empty_set))),
inference(superposition,[],[f633,f1386]) ).
fof(f1408,plain,
( in(empty_set,sK9(sK30(empty_set)))
| empty(sK9(sK30(empty_set))) ),
inference(superposition,[],[f874,f1386]) ).
fof(f1386,plain,
empty_set = sK28(sK9(sK30(empty_set))),
inference(resolution,[],[f1331,f438]) ).
fof(f1398,plain,
empty_set = sK28(sK9(sK30(empty_set))),
inference(forward_demodulation,[],[f1396,f766]) ).
fof(f1396,plain,
empty_set = sK28(sK9(sK30(sK50))),
inference(resolution,[],[f1331,f747]) ).
fof(f1397,plain,
empty_set = sK28(sK9(sK30(empty_set))),
inference(forward_demodulation,[],[f1395,f765]) ).
fof(f1395,plain,
! [X0] : empty_set = sK28(sK9(sK30(sK29(X0)))),
inference(resolution,[],[f1331,f635]) ).
fof(f1394,plain,
! [X0] :
( empty_set = sK28(sK9(sK30(sK28(sK9(sK30(X0))))))
| ~ empty(X0) ),
inference(resolution,[],[f1331,f1324]) ).
fof(f1393,plain,
! [X0] :
( empty_set = sK28(sK9(sK30(sK28(sK9(powerset(X0))))))
| ~ empty(X0) ),
inference(resolution,[],[f1331,f1280]) ).
fof(f1392,plain,
! [X0] :
( empty_set = sK28(sK9(sK30(sK28(sK30(X0)))))
| ~ empty(X0) ),
inference(resolution,[],[f1331,f1204]) ).
fof(f1391,plain,
! [X0] :
( empty_set = sK28(sK9(sK30(sK28(powerset(X0)))))
| ~ empty(X0) ),
inference(resolution,[],[f1331,f1018]) ).
fof(f1390,plain,
! [X0] :
( empty_set = sK28(sK9(sK30(sK23(X0))))
| ~ sP5(X0) ),
inference(resolution,[],[f1331,f616]) ).
fof(f1389,plain,
! [X0] :
( empty_set = sK28(sK9(sK30(sK15(X0))))
| ~ rel_str(X0)
| ~ empty(the_carrier(X0)) ),
inference(resolution,[],[f1331,f1082]) ).
fof(f1388,plain,
! [X0] :
( empty_set = sK28(sK9(sK30(sK14(X0))))
| ~ rel_str(X0)
| ~ empty(the_carrier(X0)) ),
inference(resolution,[],[f1331,f1078]) ).
fof(f1387,plain,
! [X0] :
( empty_set = sK28(sK9(sK30(sK12(X0))))
| ~ top_str(X0) ),
inference(resolution,[],[f1331,f511]) ).
fof(f1385,plain,
! [X0] :
( empty_set = sK28(sK9(sK30(cast_as_carrier_subset(X0))))
| ~ one_sorted_str(X0)
| ~ empty(the_carrier(X0)) ),
inference(resolution,[],[f1331,f1064]) ).
fof(f1331,plain,
! [X0] :
( ~ empty(X0)
| empty_set = sK28(sK9(sK30(X0))) ),
inference(resolution,[],[f1324,f574]) ).
fof(f1380,plain,
! [X0] :
( finite(sK28(sK9(sK9(sK30(X0)))))
| ~ finite(X0) ),
inference(subsumption_resolution,[],[f1375,f637]) ).
fof(f1375,plain,
! [X0] :
( empty(sK30(X0))
| finite(sK28(sK9(sK9(sK30(X0)))))
| ~ finite(X0) ),
inference(resolution,[],[f1319,f1161]) ).
fof(f1382,plain,
! [X0] :
( ~ finite(X0)
| finite(sK28(sK9(sK9(sK30(X0))))) ),
inference(resolution,[],[f1379,f819]) ).
fof(f1381,plain,
! [X0,X1] :
( ~ in(X0,sK28(sK9(sK9(sK30(X1)))))
| ~ empty(X1) ),
inference(resolution,[],[f1379,f997]) ).
fof(f1379,plain,
! [X0] : in(sK28(sK9(sK9(sK30(X0)))),powerset(X0)),
inference(subsumption_resolution,[],[f1374,f637]) ).
fof(f1374,plain,
! [X0] :
( empty(sK30(X0))
| in(sK28(sK9(sK9(sK30(X0)))),powerset(X0)) ),
inference(resolution,[],[f1319,f1163]) ).
fof(f1358,plain,
! [X0] :
( ~ in(X0,sK28(sK9(sK9(X0))))
| empty(X0) ),
inference(resolution,[],[f1319,f640]) ).
fof(f1322,plain,
! [X0] :
( finite(sK28(sK9(sK9(powerset(X0)))))
| ~ finite(X0) ),
inference(subsumption_resolution,[],[f1316,f440]) ).
fof(f1316,plain,
! [X0] :
( empty(powerset(X0))
| finite(sK28(sK9(sK9(powerset(X0)))))
| ~ finite(X0) ),
inference(resolution,[],[f1273,f517]) ).
fof(f1369,plain,
! [X0] :
( empty(sK28(powerset(X0)))
| element(sK28(sK9(sK9(sK28(powerset(X0))))),X0) ),
inference(resolution,[],[f1319,f1155]) ).
fof(f1378,plain,
! [X0] :
( element(sK28(sK9(sK9(sK9(X0)))),X0)
| empty(X0) ),
inference(subsumption_resolution,[],[f1364,f501]) ).
fof(f1364,plain,
! [X0] :
( empty(sK9(X0))
| element(sK28(sK9(sK9(sK9(X0)))),X0)
| empty(X0) ),
inference(resolution,[],[f1319,f1142]) ).
fof(f1377,plain,
! [X0] :
( ~ finite(X0)
| finite(sK28(sK9(sK9(powerset(X0))))) ),
inference(subsumption_resolution,[],[f1361,f440]) ).
fof(f1361,plain,
! [X0] :
( empty(powerset(X0))
| ~ finite(X0)
| finite(sK28(sK9(sK9(powerset(X0))))) ),
inference(resolution,[],[f1319,f819]) ).
fof(f1376,plain,
! [X0,X1] :
( ~ in(X1,sK28(sK9(sK9(powerset(X0)))))
| ~ empty(X0) ),
inference(subsumption_resolution,[],[f1360,f440]) ).
fof(f1360,plain,
! [X0,X1] :
( empty(powerset(X0))
| ~ in(X1,sK28(sK9(sK9(powerset(X0)))))
| ~ empty(X0) ),
inference(resolution,[],[f1319,f997]) ).
fof(f1319,plain,
! [X0] :
( in(sK28(sK9(sK9(X0))),X0)
| empty(X0) ),
inference(duplicate_literal_removal,[],[f1318]) ).
fof(f1318,plain,
! [X0] :
( empty(X0)
| empty(X0)
| in(sK28(sK9(sK9(X0))),X0) ),
inference(resolution,[],[f1273,f642]) ).
fof(f559,plain,
! [X0] :
( with_infima_relstr(X0)
| ~ join_complete_relstr(X0)
| ~ antisymmetric_relstr(X0)
| ~ reflexive_relstr(X0)
| empty_carrier(X0)
| ~ rel_str(X0) ),
inference(cnf_transformation,[],[f228]) ).
fof(f228,plain,
! [X0] :
( ( with_infima_relstr(X0)
& antisymmetric_relstr(X0)
& reflexive_relstr(X0)
& ~ empty_carrier(X0) )
| ~ join_complete_relstr(X0)
| ~ antisymmetric_relstr(X0)
| ~ reflexive_relstr(X0)
| empty_carrier(X0)
| ~ rel_str(X0) ),
inference(flattening,[],[f227]) ).
fof(f227,plain,
! [X0] :
( ( with_infima_relstr(X0)
& antisymmetric_relstr(X0)
& reflexive_relstr(X0)
& ~ empty_carrier(X0) )
| ~ join_complete_relstr(X0)
| ~ antisymmetric_relstr(X0)
| ~ reflexive_relstr(X0)
| empty_carrier(X0)
| ~ rel_str(X0) ),
inference(ennf_transformation,[],[f6]) ).
fof(f6,axiom,
! [X0] :
( rel_str(X0)
=> ( ( join_complete_relstr(X0)
& antisymmetric_relstr(X0)
& reflexive_relstr(X0)
& ~ empty_carrier(X0) )
=> ( with_infima_relstr(X0)
& antisymmetric_relstr(X0)
& reflexive_relstr(X0)
& ~ empty_carrier(X0) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc13_waybel_0) ).
fof(f1355,plain,
( empty(sK9(powerset(empty_set)))
| in(empty_set,sK9(powerset(empty_set))) ),
inference(resolution,[],[f1354,f642]) ).
fof(f1354,plain,
element(empty_set,sK9(powerset(empty_set))),
inference(superposition,[],[f633,f1333]) ).
fof(f1353,plain,
( in(empty_set,sK9(powerset(empty_set)))
| empty(sK9(powerset(empty_set))) ),
inference(superposition,[],[f874,f1333]) ).
fof(f1333,plain,
empty_set = sK28(sK9(powerset(empty_set))),
inference(resolution,[],[f1287,f438]) ).
fof(f1345,plain,
empty_set = sK28(sK9(powerset(empty_set))),
inference(forward_demodulation,[],[f1343,f766]) ).
fof(f1343,plain,
empty_set = sK28(sK9(powerset(sK50))),
inference(resolution,[],[f1287,f747]) ).
fof(f1344,plain,
empty_set = sK28(sK9(powerset(empty_set))),
inference(forward_demodulation,[],[f1342,f765]) ).
fof(f1342,plain,
! [X0] : empty_set = sK28(sK9(powerset(sK29(X0)))),
inference(resolution,[],[f1287,f635]) ).
fof(f1341,plain,
! [X0] :
( empty_set = sK28(sK9(powerset(sK28(sK9(sK30(X0))))))
| ~ empty(X0) ),
inference(resolution,[],[f1287,f1324]) ).
fof(f1340,plain,
! [X0] :
( empty_set = sK28(sK9(powerset(sK28(sK9(powerset(X0))))))
| ~ empty(X0) ),
inference(resolution,[],[f1287,f1280]) ).
fof(f1339,plain,
! [X0] :
( empty_set = sK28(sK9(powerset(sK28(sK30(X0)))))
| ~ empty(X0) ),
inference(resolution,[],[f1287,f1204]) ).
fof(f1338,plain,
! [X0] :
( empty_set = sK28(sK9(powerset(sK28(powerset(X0)))))
| ~ empty(X0) ),
inference(resolution,[],[f1287,f1018]) ).
fof(f1337,plain,
! [X0] :
( empty_set = sK28(sK9(powerset(sK23(X0))))
| ~ sP5(X0) ),
inference(resolution,[],[f1287,f616]) ).
fof(f1336,plain,
! [X0] :
( empty_set = sK28(sK9(powerset(sK15(X0))))
| ~ rel_str(X0)
| ~ empty(the_carrier(X0)) ),
inference(resolution,[],[f1287,f1082]) ).
fof(f1335,plain,
! [X0] :
( empty_set = sK28(sK9(powerset(sK14(X0))))
| ~ rel_str(X0)
| ~ empty(the_carrier(X0)) ),
inference(resolution,[],[f1287,f1078]) ).
fof(f1334,plain,
! [X0] :
( empty_set = sK28(sK9(powerset(sK12(X0))))
| ~ top_str(X0) ),
inference(resolution,[],[f1287,f511]) ).
fof(f1332,plain,
! [X0] :
( empty_set = sK28(sK9(powerset(cast_as_carrier_subset(X0))))
| ~ one_sorted_str(X0)
| ~ empty(the_carrier(X0)) ),
inference(resolution,[],[f1287,f1064]) ).
fof(f1287,plain,
! [X0] :
( ~ empty(X0)
| empty_set = sK28(sK9(powerset(X0))) ),
inference(resolution,[],[f1280,f574]) ).
fof(f1330,plain,
! [X0,X1] :
( ~ empty(X0)
| sK28(sK9(sK30(X0))) = X1
| ~ empty(X1) ),
inference(resolution,[],[f1324,f655]) ).
fof(f1329,plain,
! [X0] :
( ~ empty(X0)
| empty_set = sK28(powerset(sK28(sK9(sK30(X0))))) ),
inference(resolution,[],[f1324,f1020]) ).
fof(f1328,plain,
! [X0,X1] :
( ~ empty(X0)
| sK28(powerset(X1)) = sK28(sK9(sK30(X0)))
| ~ empty(X1) ),
inference(resolution,[],[f1324,f1019]) ).
fof(f1327,plain,
! [X0] :
( ~ empty(X0)
| empty_set = sK28(powerset(sK28(powerset(sK28(sK9(sK30(X0))))))) ),
inference(resolution,[],[f1324,f1024]) ).
fof(f1326,plain,
! [X0] :
( ~ empty(X0)
| empty_set = sK28(sK30(sK28(sK9(sK30(X0))))) ),
inference(resolution,[],[f1324,f1209]) ).
fof(f1324,plain,
! [X0] :
( empty(sK28(sK9(sK30(X0))))
| ~ empty(X0) ),
inference(resolution,[],[f1276,f874]) ).
fof(f1325,plain,
! [X0] :
( ~ empty(X0)
| empty(sK28(sK9(sK30(X0)))) ),
inference(resolution,[],[f1276,f1251]) ).
fof(f1276,plain,
! [X0,X1] :
( ~ in(X0,sK28(sK9(sK30(X1))))
| ~ empty(X1) ),
inference(resolution,[],[f1274,f997]) ).
fof(f1323,plain,
! [X0] :
( ~ empty(sK28(sK9(sK9(powerset(the_carrier(X0))))))
| boundary_set(sK28(sK9(sK9(powerset(the_carrier(X0))))),X0)
| ~ top_str(X0) ),
inference(subsumption_resolution,[],[f1317,f440]) ).
fof(f1317,plain,
! [X0] :
( empty(powerset(the_carrier(X0)))
| ~ empty(sK28(sK9(sK9(powerset(the_carrier(X0))))))
| boundary_set(sK28(sK9(sK9(powerset(the_carrier(X0))))),X0)
| ~ top_str(X0) ),
inference(resolution,[],[f1273,f509]) ).
fof(f1320,plain,
! [X0,X1] :
( element(X1,X0)
| ~ in(X1,sK28(sK9(sK9(powerset(X0))))) ),
inference(subsumption_resolution,[],[f1314,f440]) ).
fof(f1314,plain,
! [X0,X1] :
( empty(powerset(X0))
| element(X1,X0)
| ~ in(X1,sK28(sK9(sK9(powerset(X0))))) ),
inference(resolution,[],[f1273,f663]) ).
fof(f1273,plain,
! [X0] :
( element(sK28(sK9(sK9(X0))),X0)
| empty(X0) ),
inference(subsumption_resolution,[],[f1261,f501]) ).
fof(f1261,plain,
! [X0] :
( empty(sK9(X0))
| element(sK28(sK9(sK9(X0))),X0)
| empty(X0) ),
inference(resolution,[],[f1251,f1142]) ).
fof(f1312,plain,
! [X0] :
( boundary_set(empty_set,X0)
| ~ top_str(X0) ),
inference(subsumption_resolution,[],[f1292,f438]) ).
fof(f1292,plain,
! [X0] :
( ~ empty(empty_set)
| boundary_set(empty_set,X0)
| ~ top_str(X0) ),
inference(resolution,[],[f509,f770]) ).
fof(f1313,plain,
! [X0] :
( ~ empty(sK28(sK9(powerset(the_carrier(X0)))))
| boundary_set(sK28(sK9(powerset(the_carrier(X0)))),X0)
| ~ top_str(X0) ),
inference(subsumption_resolution,[],[f1306,f440]) ).
fof(f1306,plain,
! [X0] :
( ~ empty(sK28(sK9(powerset(the_carrier(X0)))))
| boundary_set(sK28(sK9(powerset(the_carrier(X0)))),X0)
| ~ top_str(X0)
| empty(powerset(the_carrier(X0))) ),
inference(resolution,[],[f509,f1246]) ).
fof(f1305,plain,
! [X0] :
( ~ empty(sK28(powerset(the_carrier(X0))))
| boundary_set(sK28(powerset(the_carrier(X0))),X0)
| ~ top_str(X0) ),
inference(resolution,[],[f509,f633]) ).
fof(f1307,plain,
! [X0] :
( ~ empty(sK26(X0))
| boundary_set(sK26(X0),X0)
| ~ top_str(X0)
| ~ topological_space(X0) ),
inference(duplicate_literal_removal,[],[f1304]) ).
fof(f1304,plain,
! [X0] :
( ~ empty(sK26(X0))
| boundary_set(sK26(X0),X0)
| ~ top_str(X0)
| ~ top_str(X0)
| ~ topological_space(X0) ),
inference(resolution,[],[f509,f627]) ).
fof(f1308,plain,
! [X0] :
( ~ empty(sK25(X0))
| boundary_set(sK25(X0),X0)
| ~ top_str(X0)
| ~ topological_space(X0) ),
inference(duplicate_literal_removal,[],[f1303]) ).
fof(f1303,plain,
! [X0] :
( ~ empty(sK25(X0))
| boundary_set(sK25(X0),X0)
| ~ top_str(X0)
| ~ top_str(X0)
| ~ topological_space(X0) ),
inference(resolution,[],[f509,f624]) ).
fof(f1309,plain,
! [X0] :
( ~ empty(sK24(X0))
| boundary_set(sK24(X0),X0)
| ~ top_str(X0)
| ~ topological_space(X0) ),
inference(duplicate_literal_removal,[],[f1302]) ).
fof(f1302,plain,
! [X0] :
( ~ empty(sK24(X0))
| boundary_set(sK24(X0),X0)
| ~ top_str(X0)
| ~ top_str(X0)
| ~ topological_space(X0) ),
inference(resolution,[],[f509,f622]) ).
fof(f1298,plain,
! [X0] :
( ~ empty(sK15(X0))
| boundary_set(sK15(X0),X0)
| ~ top_str(X0)
| ~ rel_str(X0) ),
inference(resolution,[],[f509,f572]) ).
fof(f1297,plain,
! [X0] :
( ~ empty(sK14(X0))
| boundary_set(sK14(X0),X0)
| ~ top_str(X0)
| ~ rel_str(X0) ),
inference(resolution,[],[f509,f571]) ).
fof(f1290,plain,
! [X0,X1] :
( ~ empty(X0)
| boundary_set(X0,X1)
| ~ top_str(X1)
| ~ in(X0,powerset(the_carrier(X1))) ),
inference(resolution,[],[f509,f641]) ).
fof(f1289,plain,
! [X0,X1] :
( ~ empty(X0)
| boundary_set(X0,X1)
| ~ top_str(X1)
| ~ subset(X0,the_carrier(X1)) ),
inference(resolution,[],[f509,f654]) ).
fof(f1288,plain,
! [X0,X1] :
( ~ empty(X0)
| boundary_set(X0,X1)
| ~ top_str(X1)
| ~ in(X0,sK30(the_carrier(X1))) ),
inference(resolution,[],[f509,f1156]) ).
fof(f509,plain,
! [X0,X1] :
( ~ element(X1,powerset(the_carrier(X0)))
| ~ empty(X1)
| boundary_set(X1,X0)
| ~ top_str(X0) ),
inference(cnf_transformation,[],[f198]) ).
fof(f198,plain,
! [X0] :
( ! [X1] :
( boundary_set(X1,X0)
| ~ empty(X1)
| ~ element(X1,powerset(the_carrier(X0))) )
| ~ top_str(X0) ),
inference(flattening,[],[f197]) ).
fof(f197,plain,
! [X0] :
( ! [X1] :
( boundary_set(X1,X0)
| ~ empty(X1)
| ~ element(X1,powerset(the_carrier(X0))) )
| ~ top_str(X0) ),
inference(ennf_transformation,[],[f16]) ).
fof(f16,axiom,
! [X0] :
( top_str(X0)
=> ! [X1] :
( element(X1,powerset(the_carrier(X0)))
=> ( empty(X1)
=> boundary_set(X1,X0) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc2_tops_1) ).
fof(f1286,plain,
! [X0,X1] :
( ~ empty(X0)
| sK28(sK9(powerset(X0))) = X1
| ~ empty(X1) ),
inference(resolution,[],[f1280,f655]) ).
fof(f1285,plain,
! [X0] :
( ~ empty(X0)
| empty_set = sK28(powerset(sK28(sK9(powerset(X0))))) ),
inference(resolution,[],[f1280,f1020]) ).
fof(f1284,plain,
! [X0,X1] :
( ~ empty(X0)
| sK28(powerset(X1)) = sK28(sK9(powerset(X0)))
| ~ empty(X1) ),
inference(resolution,[],[f1280,f1019]) ).
fof(f1283,plain,
! [X0] :
( ~ empty(X0)
| empty_set = sK28(powerset(sK28(powerset(sK28(sK9(powerset(X0))))))) ),
inference(resolution,[],[f1280,f1024]) ).
fof(f1282,plain,
! [X0] :
( ~ empty(X0)
| empty_set = sK28(sK30(sK28(sK9(powerset(X0))))) ),
inference(resolution,[],[f1280,f1209]) ).
fof(f1280,plain,
! [X0] :
( empty(sK28(sK9(powerset(X0))))
| ~ empty(X0) ),
inference(resolution,[],[f1253,f874]) ).
fof(f1281,plain,
! [X0] :
( ~ empty(X0)
| empty(sK28(sK9(powerset(X0)))) ),
inference(resolution,[],[f1253,f1251]) ).
fof(f1253,plain,
! [X0,X1] :
( ~ in(X1,sK28(sK9(powerset(X0))))
| ~ empty(X0) ),
inference(subsumption_resolution,[],[f1248,f440]) ).
fof(f1248,plain,
! [X0,X1] :
( empty(powerset(X0))
| ~ empty(X0)
| ~ in(X1,sK28(sK9(powerset(X0)))) ),
inference(resolution,[],[f1246,f666]) ).
fof(f1278,plain,
! [X0] : ~ in(powerset(X0),sK28(sK9(sK30(X0)))),
inference(resolution,[],[f1274,f640]) ).
fof(f1275,plain,
! [X0] :
( finite(sK28(sK9(sK30(X0))))
| ~ finite(X0) ),
inference(subsumption_resolution,[],[f1270,f637]) ).
fof(f1270,plain,
! [X0] :
( empty(sK30(X0))
| finite(sK28(sK9(sK30(X0))))
| ~ finite(X0) ),
inference(resolution,[],[f1251,f1161]) ).
fof(f1277,plain,
! [X0] :
( ~ finite(X0)
| finite(sK28(sK9(sK30(X0)))) ),
inference(resolution,[],[f1274,f819]) ).
fof(f1274,plain,
! [X0] : in(sK28(sK9(sK30(X0))),powerset(X0)),
inference(subsumption_resolution,[],[f1269,f637]) ).
fof(f1269,plain,
! [X0] :
( empty(sK30(X0))
| in(sK28(sK9(sK30(X0))),powerset(X0)) ),
inference(resolution,[],[f1251,f1163]) ).
fof(f1255,plain,
! [X0] :
( ~ in(X0,sK28(sK9(X0)))
| empty(X0) ),
inference(resolution,[],[f1251,f640]) ).
fof(f1254,plain,
! [X0] :
( finite(sK28(sK9(powerset(X0))))
| ~ finite(X0) ),
inference(subsumption_resolution,[],[f1249,f440]) ).
fof(f1249,plain,
! [X0] :
( empty(powerset(X0))
| finite(sK28(sK9(powerset(X0))))
| ~ finite(X0) ),
inference(resolution,[],[f1246,f517]) ).
fof(f1266,plain,
! [X0] :
( empty(sK28(powerset(X0)))
| element(sK28(sK9(sK28(powerset(X0)))),X0) ),
inference(resolution,[],[f1251,f1155]) ).
fof(f1272,plain,
! [X0] :
( ~ finite(X0)
| finite(sK28(sK9(powerset(X0)))) ),
inference(subsumption_resolution,[],[f1258,f440]) ).
fof(f1258,plain,
! [X0] :
( empty(powerset(X0))
| ~ finite(X0)
| finite(sK28(sK9(powerset(X0)))) ),
inference(resolution,[],[f1251,f819]) ).
fof(f1271,plain,
! [X0,X1] :
( ~ in(X1,sK28(sK9(powerset(X0))))
| ~ empty(X0) ),
inference(subsumption_resolution,[],[f1257,f440]) ).
fof(f1257,plain,
! [X0,X1] :
( empty(powerset(X0))
| ~ in(X1,sK28(sK9(powerset(X0))))
| ~ empty(X0) ),
inference(resolution,[],[f1251,f997]) ).
fof(f1251,plain,
! [X0] :
( in(sK28(sK9(X0)),X0)
| empty(X0) ),
inference(duplicate_literal_removal,[],[f1250]) ).
fof(f1250,plain,
! [X0] :
( empty(X0)
| empty(X0)
| in(sK28(sK9(X0)),X0) ),
inference(resolution,[],[f1246,f642]) ).
fof(f599,plain,
! [X0] :
( ~ empty(sK22(X0))
| ~ rel_str(X0)
| ~ transitive_relstr(X0)
| ~ reflexive_relstr(X0)
| empty_carrier(X0) ),
inference(cnf_transformation,[],[f369]) ).
fof(f1246,plain,
! [X0] :
( element(sK28(sK9(X0)),X0)
| empty(X0) ),
inference(subsumption_resolution,[],[f1245,f501]) ).
fof(f1245,plain,
! [X0] :
( element(sK28(sK9(X0)),X0)
| empty(X0)
| empty(sK9(X0)) ),
inference(resolution,[],[f1142,f874]) ).
fof(f1142,plain,
! [X0,X1] :
( ~ in(X0,sK9(X1))
| element(X0,X1)
| empty(X1) ),
inference(resolution,[],[f663,f500]) ).
fof(f1137,plain,
! [X2,X0,X1] :
( ~ subset(X2,X1)
| ~ in(X0,X2)
| element(X0,X1) ),
inference(resolution,[],[f663,f654]) ).
fof(f1241,plain,
! [X0] :
( empty_set = sK28(sK30(sK23(X0)))
| ~ top_str(X0)
| ~ topological_space(X0) ),
inference(resolution,[],[f1215,f621]) ).
fof(f1215,plain,
! [X0] :
( ~ sP5(X0)
| empty_set = sK28(sK30(sK23(X0))) ),
inference(resolution,[],[f1209,f616]) ).
fof(f1212,plain,
! [X0] :
( ~ top_str(X0)
| empty_set = sK28(sK30(sK12(X0))) ),
inference(resolution,[],[f1209,f511]) ).
fof(f1230,plain,
in(empty_set,sK30(empty_set)),
inference(subsumption_resolution,[],[f1228,f637]) ).
fof(f1228,plain,
( in(empty_set,sK30(empty_set))
| empty(sK30(empty_set)) ),
inference(superposition,[],[f874,f1211]) ).
fof(f1232,plain,
in(empty_set,sK30(empty_set)),
inference(subsumption_resolution,[],[f1231,f637]) ).
fof(f1231,plain,
( empty(sK30(empty_set))
| in(empty_set,sK30(empty_set)) ),
inference(resolution,[],[f1229,f642]) ).
fof(f1229,plain,
element(empty_set,sK30(empty_set)),
inference(superposition,[],[f633,f1211]) ).
fof(f1211,plain,
empty_set = sK28(sK30(empty_set)),
inference(resolution,[],[f1209,f438]) ).
fof(f597,plain,
! [X0] :
( ~ empty(sK21(X0))
| ~ rel_str(X0)
| ~ transitive_relstr(X0)
| ~ reflexive_relstr(X0)
| empty_carrier(X0) ),
inference(cnf_transformation,[],[f367]) ).
fof(f1221,plain,
empty_set = sK28(sK30(empty_set)),
inference(forward_demodulation,[],[f1219,f766]) ).
fof(f1219,plain,
empty_set = sK28(sK30(sK50)),
inference(resolution,[],[f1209,f747]) ).
fof(f1220,plain,
empty_set = sK28(sK30(empty_set)),
inference(forward_demodulation,[],[f1218,f765]) ).
fof(f1218,plain,
! [X0] : empty_set = sK28(sK30(sK29(X0))),
inference(resolution,[],[f1209,f635]) ).
fof(f1217,plain,
! [X0] :
( empty_set = sK28(sK30(sK28(sK30(X0))))
| ~ empty(X0) ),
inference(resolution,[],[f1209,f1204]) ).
fof(f1216,plain,
! [X0] :
( empty_set = sK28(sK30(sK28(powerset(X0))))
| ~ empty(X0) ),
inference(resolution,[],[f1209,f1018]) ).
fof(f1214,plain,
! [X0] :
( empty_set = sK28(sK30(sK15(X0)))
| ~ rel_str(X0)
| ~ empty(the_carrier(X0)) ),
inference(resolution,[],[f1209,f1082]) ).
fof(f1213,plain,
! [X0] :
( empty_set = sK28(sK30(sK14(X0)))
| ~ rel_str(X0)
| ~ empty(the_carrier(X0)) ),
inference(resolution,[],[f1209,f1078]) ).
fof(f1210,plain,
! [X0] :
( empty_set = sK28(sK30(cast_as_carrier_subset(X0)))
| ~ one_sorted_str(X0)
| ~ empty(the_carrier(X0)) ),
inference(resolution,[],[f1209,f1064]) ).
fof(f1209,plain,
! [X0] :
( ~ empty(X0)
| empty_set = sK28(sK30(X0)) ),
inference(resolution,[],[f1204,f574]) ).
fof(f1208,plain,
! [X0,X1] :
( ~ empty(X0)
| sK28(sK30(X0)) = X1
| ~ empty(X1) ),
inference(resolution,[],[f1204,f655]) ).
fof(f1207,plain,
! [X0] :
( ~ empty(X0)
| empty_set = sK28(powerset(sK28(sK30(X0)))) ),
inference(resolution,[],[f1204,f1020]) ).
fof(f1206,plain,
! [X0,X1] :
( ~ empty(X0)
| sK28(powerset(X1)) = sK28(sK30(X0))
| ~ empty(X1) ),
inference(resolution,[],[f1204,f1019]) ).
fof(f1205,plain,
! [X0] :
( ~ empty(X0)
| empty_set = sK28(powerset(sK28(powerset(sK28(sK30(X0)))))) ),
inference(resolution,[],[f1204,f1024]) ).
fof(f1204,plain,
! [X0] :
( empty(sK28(sK30(X0)))
| ~ empty(X0) ),
inference(resolution,[],[f1188,f874]) ).
fof(f1188,plain,
! [X0,X1] :
( ~ in(X0,sK28(sK30(X1)))
| ~ empty(X1) ),
inference(resolution,[],[f1167,f997]) ).
fof(f1187,plain,
sK47 = rel_str_of(the_carrier(sK47),the_InternalRel(sK47)),
inference(subsumption_resolution,[],[f1177,f717]) ).
fof(f1177,plain,
( sK47 = rel_str_of(the_carrier(sK47),the_InternalRel(sK47))
| ~ rel_str(sK47) ),
inference(resolution,[],[f523,f719]) ).
fof(f1186,plain,
sK46 = rel_str_of(the_carrier(sK46),the_InternalRel(sK46)),
inference(subsumption_resolution,[],[f1176,f707]) ).
fof(f1176,plain,
( sK46 = rel_str_of(the_carrier(sK46),the_InternalRel(sK46))
| ~ rel_str(sK46) ),
inference(resolution,[],[f523,f709]) ).
fof(f1185,plain,
sK45 = rel_str_of(the_carrier(sK45),the_InternalRel(sK45)),
inference(subsumption_resolution,[],[f1175,f698]) ).
fof(f1175,plain,
( sK45 = rel_str_of(the_carrier(sK45),the_InternalRel(sK45))
| ~ rel_str(sK45) ),
inference(resolution,[],[f523,f700]) ).
fof(f1184,plain,
sK44 = rel_str_of(the_carrier(sK44),the_InternalRel(sK44)),
inference(subsumption_resolution,[],[f1174,f691]) ).
fof(f1174,plain,
( sK44 = rel_str_of(the_carrier(sK44),the_InternalRel(sK44))
| ~ rel_str(sK44) ),
inference(resolution,[],[f523,f693]) ).
fof(f1183,plain,
sK43 = rel_str_of(the_carrier(sK43),the_InternalRel(sK43)),
inference(subsumption_resolution,[],[f1173,f687]) ).
fof(f1173,plain,
( sK43 = rel_str_of(the_carrier(sK43),the_InternalRel(sK43))
| ~ rel_str(sK43) ),
inference(resolution,[],[f523,f689]) ).
fof(f1182,plain,
sK42 = rel_str_of(the_carrier(sK42),the_InternalRel(sK42)),
inference(subsumption_resolution,[],[f1172,f675]) ).
fof(f1172,plain,
( sK42 = rel_str_of(the_carrier(sK42),the_InternalRel(sK42))
| ~ rel_str(sK42) ),
inference(resolution,[],[f523,f678]) ).
fof(f1190,plain,
! [X0] : ~ in(powerset(X0),sK28(sK30(X0))),
inference(resolution,[],[f1167,f640]) ).
fof(f1167,plain,
! [X0] : in(sK28(sK30(X0)),powerset(X0)),
inference(subsumption_resolution,[],[f1166,f637]) ).
fof(f1166,plain,
! [X0] :
( in(sK28(sK30(X0)),powerset(X0))
| empty(sK30(X0)) ),
inference(resolution,[],[f1163,f874]) ).
fof(f1181,plain,
! [X0] : boole_POSet(X0) = rel_str_of(the_carrier(boole_POSet(X0)),the_InternalRel(boole_POSet(X0))),
inference(subsumption_resolution,[],[f1171,f484]) ).
fof(f1171,plain,
! [X0] :
( boole_POSet(X0) = rel_str_of(the_carrier(boole_POSet(X0)),the_InternalRel(boole_POSet(X0)))
| ~ rel_str(boole_POSet(X0)) ),
inference(resolution,[],[f523,f442]) ).
fof(f1180,plain,
! [X0] :
( rel_str_of(the_carrier(X0),the_InternalRel(X0)) = rel_str_of(the_carrier(rel_str_of(the_carrier(X0),the_InternalRel(X0))),the_InternalRel(rel_str_of(the_carrier(X0),the_InternalRel(X0))))
| ~ rel_str(X0) ),
inference(subsumption_resolution,[],[f1170,f1049]) ).
fof(f1170,plain,
! [X0] :
( rel_str_of(the_carrier(X0),the_InternalRel(X0)) = rel_str_of(the_carrier(rel_str_of(the_carrier(X0),the_InternalRel(X0))),the_InternalRel(rel_str_of(the_carrier(X0),the_InternalRel(X0))))
| ~ rel_str(rel_str_of(the_carrier(X0),the_InternalRel(X0)))
| ~ rel_str(X0) ),
inference(resolution,[],[f523,f1050]) ).
fof(f1179,plain,
! [X0] : rel_str_of(X0,sK34(X0,X0)) = rel_str_of(the_carrier(rel_str_of(X0,sK34(X0,X0))),the_InternalRel(rel_str_of(X0,sK34(X0,X0)))),
inference(subsumption_resolution,[],[f1169,f916]) ).
fof(f1169,plain,
! [X0] :
( rel_str_of(X0,sK34(X0,X0)) = rel_str_of(the_carrier(rel_str_of(X0,sK34(X0,X0))),the_InternalRel(rel_str_of(X0,sK34(X0,X0))))
| ~ rel_str(rel_str_of(X0,sK34(X0,X0))) ),
inference(resolution,[],[f523,f917]) ).
fof(f1178,plain,
! [X0] : rel_str_of(X0,sK33(X0,X0)) = rel_str_of(the_carrier(rel_str_of(X0,sK33(X0,X0))),the_InternalRel(rel_str_of(X0,sK33(X0,X0)))),
inference(subsumption_resolution,[],[f1168,f914]) ).
fof(f1168,plain,
! [X0] :
( rel_str_of(X0,sK33(X0,X0)) = rel_str_of(the_carrier(rel_str_of(X0,sK33(X0,X0))),the_InternalRel(rel_str_of(X0,sK33(X0,X0))))
| ~ rel_str(rel_str_of(X0,sK33(X0,X0))) ),
inference(resolution,[],[f523,f904]) ).
fof(f523,plain,
! [X0] :
( ~ strict_rel_str(X0)
| rel_str_of(the_carrier(X0),the_InternalRel(X0)) = X0
| ~ rel_str(X0) ),
inference(cnf_transformation,[],[f210]) ).
fof(f210,plain,
! [X0] :
( rel_str_of(the_carrier(X0),the_InternalRel(X0)) = X0
| ~ strict_rel_str(X0)
| ~ rel_str(X0) ),
inference(flattening,[],[f209]) ).
fof(f209,plain,
! [X0] :
( rel_str_of(the_carrier(X0),the_InternalRel(X0)) = X0
| ~ strict_rel_str(X0)
| ~ rel_str(X0) ),
inference(ennf_transformation,[],[f1]) ).
fof(f1,axiom,
! [X0] :
( rel_str(X0)
=> ( strict_rel_str(X0)
=> rel_str_of(the_carrier(X0),the_InternalRel(X0)) = X0 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',abstractness_v1_orders_2) ).
fof(f1163,plain,
! [X0,X1] :
( ~ in(X0,sK30(X1))
| in(X0,powerset(X1)) ),
inference(subsumption_resolution,[],[f1162,f440]) ).
fof(f1162,plain,
! [X0,X1] :
( ~ in(X0,sK30(X1))
| empty(powerset(X1))
| in(X0,powerset(X1)) ),
inference(resolution,[],[f1156,f642]) ).
fof(f1165,plain,
! [X0] :
( finite(sK28(sK30(X0)))
| ~ finite(X0) ),
inference(subsumption_resolution,[],[f1164,f637]) ).
fof(f1164,plain,
! [X0] :
( finite(sK28(sK30(X0)))
| ~ finite(X0)
| empty(sK30(X0)) ),
inference(resolution,[],[f1161,f874]) ).
fof(f1161,plain,
! [X0,X1] :
( ~ in(X0,sK30(X1))
| finite(X0)
| ~ finite(X1) ),
inference(resolution,[],[f1156,f517]) ).
fof(f1159,plain,
! [X2,X0,X1] :
( ~ in(X0,sK30(X1))
| element(X2,X1)
| ~ in(X2,X0) ),
inference(resolution,[],[f1156,f663]) ).
fof(f1156,plain,
! [X0,X1] :
( element(X0,powerset(X1))
| ~ in(X0,sK30(X1)) ),
inference(resolution,[],[f663,f636]) ).
fof(f1157,plain,
! [X0] :
( element(sK28(sK28(powerset(X0))),X0)
| empty(sK28(powerset(X0))) ),
inference(resolution,[],[f1155,f874]) ).
fof(f1155,plain,
! [X0,X1] :
( ~ in(X0,sK28(powerset(X1)))
| element(X0,X1) ),
inference(resolution,[],[f663,f633]) ).
fof(f1154,plain,
! [X0,X1] :
( element(X0,the_carrier(X1))
| ~ in(X0,sK26(X1))
| ~ top_str(X1)
| ~ topological_space(X1) ),
inference(resolution,[],[f663,f627]) ).
fof(f1153,plain,
! [X0,X1] :
( element(X0,the_carrier(X1))
| ~ in(X0,sK25(X1))
| ~ top_str(X1)
| ~ topological_space(X1) ),
inference(resolution,[],[f663,f624]) ).
fof(f1152,plain,
! [X0,X1] :
( element(X0,the_carrier(X1))
| ~ in(X0,sK24(X1))
| ~ top_str(X1)
| ~ topological_space(X1) ),
inference(resolution,[],[f663,f622]) ).
fof(f1151,plain,
! [X0,X1] :
( element(X0,the_carrier(X1))
| ~ in(X0,sK23(X1))
| ~ sP5(X1) ),
inference(resolution,[],[f663,f615]) ).
fof(f1150,plain,
! [X0,X1] :
( element(X0,the_carrier(X1))
| ~ in(X0,sK19(X1))
| ~ rel_str(X1)
| empty_carrier(X1) ),
inference(resolution,[],[f663,f591]) ).
fof(f1149,plain,
! [X0,X1] :
( element(X0,the_carrier(X1))
| ~ in(X0,sK18(X1))
| ~ one_sorted_str(X1)
| empty_carrier(X1) ),
inference(resolution,[],[f663,f585]) ).
fof(f1148,plain,
! [X0,X1] :
( element(X0,the_carrier(X1))
| ~ in(X0,sK15(X1))
| ~ rel_str(X1) ),
inference(resolution,[],[f663,f572]) ).
fof(f1147,plain,
! [X0,X1] :
( element(X0,the_carrier(X1))
| ~ in(X0,sK14(X1))
| ~ rel_str(X1) ),
inference(resolution,[],[f663,f571]) ).
fof(f1146,plain,
! [X0,X1] :
( element(X0,powerset(the_carrier(X1)))
| ~ in(X0,sK13(X1))
| ~ one_sorted_str(X1) ),
inference(resolution,[],[f663,f514]) ).
fof(f1145,plain,
! [X0,X1] :
( element(X0,the_carrier(X1))
| ~ in(X0,sK12(X1))
| ~ top_str(X1) ),
inference(resolution,[],[f663,f510]) ).
fof(f1140,plain,
! [X0,X1] :
( element(X0,the_carrier(X1))
| ~ in(X0,cast_as_carrier_subset(X1))
| ~ one_sorted_str(X1) ),
inference(resolution,[],[f663,f513]) ).
fof(f1139,plain,
! [X2,X0,X1] :
( element(X0,X1)
| ~ in(X0,X2)
| ~ in(X2,powerset(X1)) ),
inference(resolution,[],[f663,f641]) ).
fof(f1138,plain,
! [X2,X3,X0,X1] :
( element(X0,cartesian_product2(X1,X2))
| ~ in(X0,X3)
| ~ relation_of2_as_subset(X3,X1,X2) ),
inference(resolution,[],[f663,f659]) ).
fof(f663,plain,
! [X2,X0,X1] :
( ~ element(X1,powerset(X2))
| element(X0,X2)
| ~ in(X0,X1) ),
inference(cnf_transformation,[],[f319]) ).
fof(f319,plain,
! [X0,X1,X2] :
( element(X0,X2)
| ~ element(X1,powerset(X2))
| ~ in(X0,X1) ),
inference(flattening,[],[f318]) ).
fof(f318,plain,
! [X0,X1,X2] :
( element(X0,X2)
| ~ element(X1,powerset(X2))
| ~ in(X0,X1) ),
inference(ennf_transformation,[],[f116]) ).
fof(f116,axiom,
! [X0,X1,X2] :
( ( element(X1,powerset(X2))
& in(X0,X1) )
=> element(X0,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t4_subset) ).
fof(f1136,plain,
! [X2,X0,X1] :
( ~ relation_of2_as_subset(X0,X1,X2)
| in(X0,powerset(cartesian_product2(X1,X2))) ),
inference(subsumption_resolution,[],[f1135,f440]) ).
fof(f1135,plain,
! [X2,X0,X1] :
( ~ relation_of2_as_subset(X0,X1,X2)
| empty(powerset(cartesian_product2(X1,X2)))
| in(X0,powerset(cartesian_product2(X1,X2))) ),
inference(resolution,[],[f659,f642]) ).
fof(f1134,plain,
! [X2,X0,X1] :
( ~ relation_of2_as_subset(X0,X1,X2)
| finite(X0)
| ~ finite(cartesian_product2(X1,X2)) ),
inference(resolution,[],[f659,f517]) ).
fof(f1133,plain,
! [X2,X3,X0,X1] :
( ~ relation_of2_as_subset(X0,X1,X2)
| ~ empty(cartesian_product2(X1,X2))
| ~ in(X3,X0) ),
inference(resolution,[],[f659,f666]) ).
fof(f659,plain,
! [X2,X0,X1] :
( element(X2,powerset(cartesian_product2(X0,X1)))
| ~ relation_of2_as_subset(X2,X0,X1) ),
inference(cnf_transformation,[],[f315]) ).
fof(f315,plain,
! [X0,X1,X2] :
( element(X2,powerset(cartesian_product2(X0,X1)))
| ~ relation_of2_as_subset(X2,X0,X1) ),
inference(ennf_transformation,[],[f41]) ).
fof(f41,axiom,
! [X0,X1,X2] :
( relation_of2_as_subset(X2,X0,X1)
=> element(X2,powerset(cartesian_product2(X0,X1))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_m2_relset_1) ).
fof(f1132,plain,
! [X0] :
( ~ top_str(X0)
| ~ topological_space(X0)
| in(sK26(X0),powerset(the_carrier(X0))) ),
inference(subsumption_resolution,[],[f1131,f440]) ).
fof(f1131,plain,
! [X0] :
( ~ top_str(X0)
| ~ topological_space(X0)
| empty(powerset(the_carrier(X0)))
| in(sK26(X0),powerset(the_carrier(X0))) ),
inference(resolution,[],[f627,f642]) ).
fof(f1130,plain,
! [X0] :
( ~ top_str(X0)
| ~ topological_space(X0)
| finite(sK26(X0))
| ~ finite(the_carrier(X0)) ),
inference(resolution,[],[f627,f517]) ).
fof(f1129,plain,
! [X0,X1] :
( ~ top_str(X0)
| ~ topological_space(X0)
| ~ empty(the_carrier(X0))
| ~ in(X1,sK26(X0)) ),
inference(resolution,[],[f627,f666]) ).
fof(f627,plain,
! [X0] :
( element(sK26(X0),powerset(the_carrier(X0)))
| ~ top_str(X0)
| ~ topological_space(X0) ),
inference(cnf_transformation,[],[f379]) ).
fof(f379,plain,
! [X0] :
( ( closed_subset(sK26(X0),X0)
& element(sK26(X0),powerset(the_carrier(X0))) )
| ~ top_str(X0)
| ~ topological_space(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK26])],[f288,f378]) ).
fof(f378,plain,
! [X0] :
( ? [X1] :
( closed_subset(X1,X0)
& element(X1,powerset(the_carrier(X0))) )
=> ( closed_subset(sK26(X0),X0)
& element(sK26(X0),powerset(the_carrier(X0))) ) ),
introduced(choice_axiom,[]) ).
fof(f288,plain,
! [X0] :
( ? [X1] :
( closed_subset(X1,X0)
& element(X1,powerset(the_carrier(X0))) )
| ~ top_str(X0)
| ~ topological_space(X0) ),
inference(flattening,[],[f287]) ).
fof(f287,plain,
! [X0] :
( ? [X1] :
( closed_subset(X1,X0)
& element(X1,powerset(the_carrier(X0))) )
| ~ top_str(X0)
| ~ topological_space(X0) ),
inference(ennf_transformation,[],[f103]) ).
fof(f103,axiom,
! [X0] :
( ( top_str(X0)
& topological_space(X0) )
=> ? [X1] :
( closed_subset(X1,X0)
& element(X1,powerset(the_carrier(X0))) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc6_pre_topc) ).
fof(f1128,plain,
! [X0] :
( ~ top_str(X0)
| ~ topological_space(X0)
| in(sK25(X0),powerset(the_carrier(X0))) ),
inference(subsumption_resolution,[],[f1127,f440]) ).
fof(f1127,plain,
! [X0] :
( ~ top_str(X0)
| ~ topological_space(X0)
| empty(powerset(the_carrier(X0)))
| in(sK25(X0),powerset(the_carrier(X0))) ),
inference(resolution,[],[f624,f642]) ).
fof(f1126,plain,
! [X0] :
( ~ top_str(X0)
| ~ topological_space(X0)
| finite(sK25(X0))
| ~ finite(the_carrier(X0)) ),
inference(resolution,[],[f624,f517]) ).
fof(f1125,plain,
! [X0,X1] :
( ~ top_str(X0)
| ~ topological_space(X0)
| ~ empty(the_carrier(X0))
| ~ in(X1,sK25(X0)) ),
inference(resolution,[],[f624,f666]) ).
fof(f624,plain,
! [X0] :
( element(sK25(X0),powerset(the_carrier(X0)))
| ~ top_str(X0)
| ~ topological_space(X0) ),
inference(cnf_transformation,[],[f377]) ).
fof(f377,plain,
! [X0] :
( ( closed_subset(sK25(X0),X0)
& open_subset(sK25(X0),X0)
& element(sK25(X0),powerset(the_carrier(X0))) )
| ~ top_str(X0)
| ~ topological_space(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK25])],[f286,f376]) ).
fof(f376,plain,
! [X0] :
( ? [X1] :
( closed_subset(X1,X0)
& open_subset(X1,X0)
& element(X1,powerset(the_carrier(X0))) )
=> ( closed_subset(sK25(X0),X0)
& open_subset(sK25(X0),X0)
& element(sK25(X0),powerset(the_carrier(X0))) ) ),
introduced(choice_axiom,[]) ).
fof(f286,plain,
! [X0] :
( ? [X1] :
( closed_subset(X1,X0)
& open_subset(X1,X0)
& element(X1,powerset(the_carrier(X0))) )
| ~ top_str(X0)
| ~ topological_space(X0) ),
inference(flattening,[],[f285]) ).
fof(f285,plain,
! [X0] :
( ? [X1] :
( closed_subset(X1,X0)
& open_subset(X1,X0)
& element(X1,powerset(the_carrier(X0))) )
| ~ top_str(X0)
| ~ topological_space(X0) ),
inference(ennf_transformation,[],[f89]) ).
fof(f89,axiom,
! [X0] :
( ( top_str(X0)
& topological_space(X0) )
=> ? [X1] :
( closed_subset(X1,X0)
& open_subset(X1,X0)
& element(X1,powerset(the_carrier(X0))) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc2_tops_1) ).
fof(f1124,plain,
! [X0] :
( ~ top_str(X0)
| ~ topological_space(X0)
| in(sK24(X0),powerset(the_carrier(X0))) ),
inference(subsumption_resolution,[],[f1123,f440]) ).
fof(f1123,plain,
! [X0] :
( ~ top_str(X0)
| ~ topological_space(X0)
| empty(powerset(the_carrier(X0)))
| in(sK24(X0),powerset(the_carrier(X0))) ),
inference(resolution,[],[f622,f642]) ).
fof(f1122,plain,
! [X0] :
( ~ top_str(X0)
| ~ topological_space(X0)
| finite(sK24(X0))
| ~ finite(the_carrier(X0)) ),
inference(resolution,[],[f622,f517]) ).
fof(f1121,plain,
! [X0,X1] :
( ~ top_str(X0)
| ~ topological_space(X0)
| ~ empty(the_carrier(X0))
| ~ in(X1,sK24(X0)) ),
inference(resolution,[],[f622,f666]) ).
fof(f622,plain,
! [X0] :
( element(sK24(X0),powerset(the_carrier(X0)))
| ~ top_str(X0)
| ~ topological_space(X0) ),
inference(cnf_transformation,[],[f375]) ).
fof(f375,plain,
! [X0] :
( ( open_subset(sK24(X0),X0)
& element(sK24(X0),powerset(the_carrier(X0))) )
| ~ top_str(X0)
| ~ topological_space(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK24])],[f284,f374]) ).
fof(f374,plain,
! [X0] :
( ? [X1] :
( open_subset(X1,X0)
& element(X1,powerset(the_carrier(X0))) )
=> ( open_subset(sK24(X0),X0)
& element(sK24(X0),powerset(the_carrier(X0))) ) ),
introduced(choice_axiom,[]) ).
fof(f284,plain,
! [X0] :
( ? [X1] :
( open_subset(X1,X0)
& element(X1,powerset(the_carrier(X0))) )
| ~ top_str(X0)
| ~ topological_space(X0) ),
inference(flattening,[],[f283]) ).
fof(f283,plain,
! [X0] :
( ? [X1] :
( open_subset(X1,X0)
& element(X1,powerset(the_carrier(X0))) )
| ~ top_str(X0)
| ~ topological_space(X0) ),
inference(ennf_transformation,[],[f82]) ).
fof(f82,axiom,
! [X0] :
( ( top_str(X0)
& topological_space(X0) )
=> ? [X1] :
( open_subset(X1,X0)
& element(X1,powerset(the_carrier(X0))) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc1_tops_1) ).
fof(f1120,plain,
! [X0] :
( ~ rel_str(X0)
| empty_carrier(X0)
| in(sK19(X0),powerset(the_carrier(X0))) ),
inference(subsumption_resolution,[],[f1119,f440]) ).
fof(f1119,plain,
! [X0] :
( ~ rel_str(X0)
| empty_carrier(X0)
| empty(powerset(the_carrier(X0)))
| in(sK19(X0),powerset(the_carrier(X0))) ),
inference(resolution,[],[f591,f642]) ).
fof(f1118,plain,
! [X0] :
( ~ rel_str(X0)
| empty_carrier(X0)
| finite(sK19(X0))
| ~ finite(the_carrier(X0)) ),
inference(resolution,[],[f591,f517]) ).
fof(f1117,plain,
! [X0,X1] :
( ~ rel_str(X0)
| empty_carrier(X0)
| ~ empty(the_carrier(X0))
| ~ in(X1,sK19(X0)) ),
inference(resolution,[],[f591,f666]) ).
fof(f591,plain,
! [X0] :
( element(sK19(X0),powerset(the_carrier(X0)))
| ~ rel_str(X0)
| empty_carrier(X0) ),
inference(cnf_transformation,[],[f363]) ).
fof(f363,plain,
! [X0] :
( ( ~ empty(sK19(X0))
& element(sK19(X0),powerset(the_carrier(X0))) )
| ~ rel_str(X0)
| empty_carrier(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK19])],[f260,f362]) ).
fof(f362,plain,
! [X0] :
( ? [X1] :
( ~ empty(X1)
& element(X1,powerset(the_carrier(X0))) )
=> ( ~ empty(sK19(X0))
& element(sK19(X0),powerset(the_carrier(X0))) ) ),
introduced(choice_axiom,[]) ).
fof(f260,plain,
! [X0] :
( ? [X1] :
( ~ empty(X1)
& element(X1,powerset(the_carrier(X0))) )
| ~ rel_str(X0)
| empty_carrier(X0) ),
inference(flattening,[],[f259]) ).
fof(f259,plain,
! [X0] :
( ? [X1] :
( ~ empty(X1)
& element(X1,powerset(the_carrier(X0))) )
| ~ rel_str(X0)
| empty_carrier(X0) ),
inference(ennf_transformation,[],[f159]) ).
fof(f159,plain,
! [X0] :
( ( rel_str(X0)
& ~ empty_carrier(X0) )
=> ? [X1] :
( ~ empty(X1)
& element(X1,powerset(the_carrier(X0))) ) ),
inference(pure_predicate_removal,[],[f155]) ).
fof(f155,plain,
! [X0] :
( ( rel_str(X0)
& ~ empty_carrier(X0) )
=> ? [X1] :
( lower_relstr_subset(X1,X0)
& ~ empty(X1)
& element(X1,powerset(the_carrier(X0))) ) ),
inference(pure_predicate_removal,[],[f106]) ).
fof(f106,axiom,
! [X0] :
( ( rel_str(X0)
& ~ empty_carrier(X0) )
=> ? [X1] :
( upper_relstr_subset(X1,X0)
& lower_relstr_subset(X1,X0)
& ~ empty(X1)
& element(X1,powerset(the_carrier(X0))) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc8_waybel_0) ).
fof(f1116,plain,
! [X0] :
( ~ one_sorted_str(X0)
| empty_carrier(X0)
| in(sK18(X0),powerset(the_carrier(X0))) ),
inference(subsumption_resolution,[],[f1115,f440]) ).
fof(f1115,plain,
! [X0] :
( ~ one_sorted_str(X0)
| empty_carrier(X0)
| empty(powerset(the_carrier(X0)))
| in(sK18(X0),powerset(the_carrier(X0))) ),
inference(resolution,[],[f585,f642]) ).
fof(f1114,plain,
! [X0] :
( ~ one_sorted_str(X0)
| empty_carrier(X0)
| finite(sK18(X0))
| ~ finite(the_carrier(X0)) ),
inference(resolution,[],[f585,f517]) ).
fof(f585,plain,
! [X0] :
( element(sK18(X0),powerset(the_carrier(X0)))
| ~ one_sorted_str(X0)
| empty_carrier(X0) ),
inference(cnf_transformation,[],[f361]) ).
fof(f361,plain,
! [X0] :
( ( ~ empty(sK18(X0))
& element(sK18(X0),powerset(the_carrier(X0))) )
| ~ one_sorted_str(X0)
| empty_carrier(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK18])],[f250,f360]) ).
fof(f360,plain,
! [X0] :
( ? [X1] :
( ~ empty(X1)
& element(X1,powerset(the_carrier(X0))) )
=> ( ~ empty(sK18(X0))
& element(sK18(X0),powerset(the_carrier(X0))) ) ),
introduced(choice_axiom,[]) ).
fof(f250,plain,
! [X0] :
( ? [X1] :
( ~ empty(X1)
& element(X1,powerset(the_carrier(X0))) )
| ~ one_sorted_str(X0)
| empty_carrier(X0) ),
inference(flattening,[],[f249]) ).
fof(f249,plain,
! [X0] :
( ? [X1] :
( ~ empty(X1)
& element(X1,powerset(the_carrier(X0))) )
| ~ one_sorted_str(X0)
| empty_carrier(X0) ),
inference(ennf_transformation,[],[f101]) ).
fof(f101,axiom,
! [X0] :
( ( one_sorted_str(X0)
& ~ empty_carrier(X0) )
=> ? [X1] :
( ~ empty(X1)
& element(X1,powerset(the_carrier(X0))) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc5_struct_0) ).
fof(f582,plain,
! [X0] :
( closed_subset(sK17(X0),X0)
| ~ top_str(X0)
| ~ topological_space(X0)
| empty_carrier(X0) ),
inference(cnf_transformation,[],[f359]) ).
fof(f579,plain,
! [X0] :
( closed_subset(sK16(X0),X0)
| ~ top_str(X0)
| ~ topological_space(X0)
| empty_carrier(X0) ),
inference(cnf_transformation,[],[f357]) ).
fof(f578,plain,
! [X0] :
( open_subset(sK16(X0),X0)
| ~ top_str(X0)
| ~ topological_space(X0)
| empty_carrier(X0) ),
inference(cnf_transformation,[],[f357]) ).
fof(f570,plain,
! [X0] :
( upper_bounded_relstr(X0)
| ~ up_complete_relstr(X0)
| ~ with_suprema_relstr(X0)
| ~ reflexive_relstr(X0)
| ~ rel_str(X0) ),
inference(cnf_transformation,[],[f234]) ).
fof(f234,plain,
! [X0] :
( ( upper_bounded_relstr(X0)
& with_suprema_relstr(X0)
& reflexive_relstr(X0)
& ~ empty_carrier(X0) )
| ~ up_complete_relstr(X0)
| ~ with_suprema_relstr(X0)
| ~ reflexive_relstr(X0)
| ~ rel_str(X0) ),
inference(flattening,[],[f233]) ).
fof(f233,plain,
! [X0] :
( ( upper_bounded_relstr(X0)
& with_suprema_relstr(X0)
& reflexive_relstr(X0)
& ~ empty_carrier(X0) )
| ~ up_complete_relstr(X0)
| ~ with_suprema_relstr(X0)
| ~ reflexive_relstr(X0)
| ~ rel_str(X0) ),
inference(ennf_transformation,[],[f26]) ).
fof(f26,axiom,
! [X0] :
( rel_str(X0)
=> ( ( up_complete_relstr(X0)
& with_suprema_relstr(X0)
& reflexive_relstr(X0) )
=> ( upper_bounded_relstr(X0)
& with_suprema_relstr(X0)
& reflexive_relstr(X0)
& ~ empty_carrier(X0) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc9_waybel_0) ).
fof(f544,plain,
! [X0] :
( join_complete_relstr(X0)
| ~ complete_relstr(X0)
| ~ reflexive_relstr(X0)
| empty_carrier(X0)
| ~ rel_str(X0) ),
inference(cnf_transformation,[],[f224]) ).
fof(f224,plain,
! [X0] :
( ( join_complete_relstr(X0)
& up_complete_relstr(X0)
& reflexive_relstr(X0)
& ~ empty_carrier(X0) )
| ~ complete_relstr(X0)
| ~ reflexive_relstr(X0)
| empty_carrier(X0)
| ~ rel_str(X0) ),
inference(flattening,[],[f223]) ).
fof(f223,plain,
! [X0] :
( ( join_complete_relstr(X0)
& up_complete_relstr(X0)
& reflexive_relstr(X0)
& ~ empty_carrier(X0) )
| ~ complete_relstr(X0)
| ~ reflexive_relstr(X0)
| empty_carrier(X0)
| ~ rel_str(X0) ),
inference(ennf_transformation,[],[f3]) ).
fof(f3,axiom,
! [X0] :
( rel_str(X0)
=> ( ( complete_relstr(X0)
& reflexive_relstr(X0)
& ~ empty_carrier(X0) )
=> ( join_complete_relstr(X0)
& up_complete_relstr(X0)
& reflexive_relstr(X0)
& ~ empty_carrier(X0) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc10_waybel_0) ).
fof(f1105,plain,
! [X0] :
( empty_set = sK28(powerset(sK28(powerset(sK28(powerset(X0))))))
| ~ empty(X0) ),
inference(resolution,[],[f1024,f1018]) ).
fof(f1104,plain,
! [X0] :
( empty_set = sK28(powerset(sK28(powerset(sK23(X0)))))
| ~ sP5(X0) ),
inference(resolution,[],[f1024,f616]) ).
fof(f1103,plain,
! [X0] :
( empty_set = sK28(powerset(sK28(powerset(sK15(X0)))))
| ~ rel_str(X0)
| ~ empty(the_carrier(X0)) ),
inference(resolution,[],[f1024,f1082]) ).
fof(f1102,plain,
! [X0] :
( empty_set = sK28(powerset(sK28(powerset(sK14(X0)))))
| ~ rel_str(X0)
| ~ empty(the_carrier(X0)) ),
inference(resolution,[],[f1024,f1078]) ).
fof(f1101,plain,
! [X0] :
( empty_set = sK28(powerset(sK28(powerset(sK12(X0)))))
| ~ top_str(X0) ),
inference(resolution,[],[f1024,f511]) ).
fof(f1099,plain,
! [X0] :
( empty_set = sK28(powerset(sK28(powerset(cast_as_carrier_subset(X0)))))
| ~ one_sorted_str(X0)
| ~ empty(the_carrier(X0)) ),
inference(resolution,[],[f1024,f1064]) ).
fof(f1024,plain,
! [X0] :
( ~ empty(X0)
| empty_set = sK28(powerset(sK28(powerset(X0)))) ),
inference(resolution,[],[f1020,f1018]) ).
fof(f1085,plain,
! [X0] :
( ~ empty(the_carrier(X0))
| ~ rel_str(X0)
| empty_set = sK15(X0) ),
inference(resolution,[],[f1082,f574]) ).
fof(f1081,plain,
! [X0] :
( ~ empty(the_carrier(X0))
| ~ rel_str(X0)
| empty_set = sK14(X0) ),
inference(resolution,[],[f1078,f574]) ).
fof(f1071,plain,
! [X0] :
( ~ empty(the_carrier(X0))
| ~ one_sorted_str(X0)
| cast_as_carrier_subset(X0) = empty_set ),
inference(resolution,[],[f1064,f574]) ).
fof(f1094,plain,
! [X0,X1] :
( sK28(powerset(X0)) = sK28(powerset(X1))
| ~ empty(X0)
| ~ empty(X1) ),
inference(resolution,[],[f1019,f1018]) ).
fof(f1093,plain,
! [X0,X1] :
( sK23(X1) = sK28(powerset(X0))
| ~ empty(X0)
| ~ sP5(X1) ),
inference(resolution,[],[f1019,f616]) ).
fof(f1092,plain,
! [X0,X1] :
( sK28(powerset(X0)) = sK15(X1)
| ~ empty(X0)
| ~ rel_str(X1)
| ~ empty(the_carrier(X1)) ),
inference(resolution,[],[f1019,f1082]) ).
fof(f1091,plain,
! [X0,X1] :
( sK28(powerset(X0)) = sK14(X1)
| ~ empty(X0)
| ~ rel_str(X1)
| ~ empty(the_carrier(X1)) ),
inference(resolution,[],[f1019,f1078]) ).
fof(f1090,plain,
! [X0,X1] :
( sK12(X1) = sK28(powerset(X0))
| ~ empty(X0)
| ~ top_str(X1) ),
inference(resolution,[],[f1019,f511]) ).
fof(f1088,plain,
! [X0,X1] :
( sK28(powerset(X0)) = cast_as_carrier_subset(X1)
| ~ empty(X0)
| ~ one_sorted_str(X1)
| ~ empty(the_carrier(X1)) ),
inference(resolution,[],[f1019,f1064]) ).
fof(f1019,plain,
! [X0,X1] :
( ~ empty(X1)
| sK28(powerset(X0)) = X1
| ~ empty(X0) ),
inference(resolution,[],[f1018,f655]) ).
fof(f543,plain,
! [X0] :
( up_complete_relstr(X0)
| ~ complete_relstr(X0)
| ~ reflexive_relstr(X0)
| empty_carrier(X0)
| ~ rel_str(X0) ),
inference(cnf_transformation,[],[f224]) ).
fof(f1047,plain,
! [X0] :
( ~ in(powerset(powerset(the_carrier(X0))),sK13(X0))
| ~ one_sorted_str(X0) ),
inference(resolution,[],[f935,f640]) ).
fof(f1007,plain,
! [X0,X1] :
( ~ in(X1,sK23(X0))
| ~ empty(the_carrier(X0))
| ~ sP5(X0) ),
inference(resolution,[],[f666,f615]) ).
fof(f1084,plain,
! [X0,X1] :
( ~ rel_str(X0)
| ~ empty(the_carrier(X0))
| sK15(X0) = X1
| ~ empty(X1) ),
inference(resolution,[],[f1082,f655]) ).
fof(f1083,plain,
! [X0] :
( ~ rel_str(X0)
| ~ empty(the_carrier(X0))
| empty_set = sK28(powerset(sK15(X0))) ),
inference(resolution,[],[f1082,f1020]) ).
fof(f1082,plain,
! [X0] :
( empty(sK15(X0))
| ~ rel_str(X0)
| ~ empty(the_carrier(X0)) ),
inference(resolution,[],[f1006,f874]) ).
fof(f1006,plain,
! [X0,X1] :
( ~ in(X1,sK15(X0))
| ~ empty(the_carrier(X0))
| ~ rel_str(X0) ),
inference(resolution,[],[f666,f572]) ).
fof(f1080,plain,
! [X0,X1] :
( ~ rel_str(X0)
| ~ empty(the_carrier(X0))
| sK14(X0) = X1
| ~ empty(X1) ),
inference(resolution,[],[f1078,f655]) ).
fof(f1079,plain,
! [X0] :
( ~ rel_str(X0)
| ~ empty(the_carrier(X0))
| empty_set = sK28(powerset(sK14(X0))) ),
inference(resolution,[],[f1078,f1020]) ).
fof(f1078,plain,
! [X0] :
( empty(sK14(X0))
| ~ rel_str(X0)
| ~ empty(the_carrier(X0)) ),
inference(resolution,[],[f1005,f874]) ).
fof(f1005,plain,
! [X0,X1] :
( ~ in(X1,sK14(X0))
| ~ empty(the_carrier(X0))
| ~ rel_str(X0) ),
inference(resolution,[],[f666,f571]) ).
fof(f1003,plain,
! [X0,X1] :
( ~ in(X1,sK12(X0))
| ~ empty(the_carrier(X0))
| ~ top_str(X0) ),
inference(resolution,[],[f666,f510]) ).
fof(f540,plain,
! [X0] :
( lower_bounded_relstr(X0)
| ~ join_complete_relstr(X0)
| ~ reflexive_relstr(X0)
| empty_carrier(X0)
| ~ rel_str(X0) ),
inference(cnf_transformation,[],[f222]) ).
fof(f222,plain,
! [X0] :
( ( lower_bounded_relstr(X0)
& reflexive_relstr(X0)
& ~ empty_carrier(X0) )
| ~ join_complete_relstr(X0)
| ~ reflexive_relstr(X0)
| empty_carrier(X0)
| ~ rel_str(X0) ),
inference(flattening,[],[f221]) ).
fof(f221,plain,
! [X0] :
( ( lower_bounded_relstr(X0)
& reflexive_relstr(X0)
& ~ empty_carrier(X0) )
| ~ join_complete_relstr(X0)
| ~ reflexive_relstr(X0)
| empty_carrier(X0)
| ~ rel_str(X0) ),
inference(ennf_transformation,[],[f4]) ).
fof(f4,axiom,
! [X0] :
( rel_str(X0)
=> ( ( join_complete_relstr(X0)
& reflexive_relstr(X0)
& ~ empty_carrier(X0) )
=> ( lower_bounded_relstr(X0)
& reflexive_relstr(X0)
& ~ empty_carrier(X0) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc11_waybel_0) ).
fof(f1074,plain,
! [X0] :
( ~ empty(the_carrier(X0))
| ~ rel_str(X0)
| ~ with_infima_relstr(X0) ),
inference(subsumption_resolution,[],[f1066,f518]) ).
fof(f1066,plain,
! [X0] :
( ~ one_sorted_str(X0)
| ~ empty(the_carrier(X0))
| ~ rel_str(X0)
| ~ with_infima_relstr(X0) ),
inference(resolution,[],[f1064,f629]) ).
fof(f1073,plain,
! [X0] :
( ~ empty(the_carrier(X0))
| ~ rel_str(X0)
| ~ with_suprema_relstr(X0) ),
inference(subsumption_resolution,[],[f1065,f518]) ).
fof(f1065,plain,
! [X0] :
( ~ one_sorted_str(X0)
| ~ empty(the_carrier(X0))
| ~ rel_str(X0)
| ~ with_suprema_relstr(X0) ),
inference(resolution,[],[f1064,f630]) ).
fof(f1070,plain,
! [X0,X1] :
( ~ one_sorted_str(X0)
| ~ empty(the_carrier(X0))
| cast_as_carrier_subset(X0) = X1
| ~ empty(X1) ),
inference(resolution,[],[f1064,f655]) ).
fof(f1069,plain,
! [X0] :
( ~ one_sorted_str(X0)
| ~ empty(the_carrier(X0))
| empty_set = sK28(powerset(cast_as_carrier_subset(X0))) ),
inference(resolution,[],[f1064,f1020]) ).
fof(f1064,plain,
! [X0] :
( empty(cast_as_carrier_subset(X0))
| ~ one_sorted_str(X0)
| ~ empty(the_carrier(X0)) ),
inference(resolution,[],[f998,f874]) ).
fof(f998,plain,
! [X0,X1] :
( ~ in(X1,cast_as_carrier_subset(X0))
| ~ empty(the_carrier(X0))
| ~ one_sorted_str(X0) ),
inference(resolution,[],[f666,f513]) ).
fof(f1061,plain,
! [X0,X1] :
( ~ in(X0,sK23(X1))
| ~ empty(the_carrier(X1))
| ~ sP5(X1) ),
inference(resolution,[],[f997,f885]) ).
fof(f1060,plain,
! [X0,X1] :
( ~ in(X0,sK15(X1))
| ~ empty(the_carrier(X1))
| ~ rel_str(X1) ),
inference(resolution,[],[f997,f884]) ).
fof(f1059,plain,
! [X0,X1] :
( ~ in(X0,sK14(X1))
| ~ empty(the_carrier(X1))
| ~ rel_str(X1) ),
inference(resolution,[],[f997,f883]) ).
fof(f1057,plain,
! [X0,X1] :
( ~ in(X0,sK12(X1))
| ~ empty(the_carrier(X1))
| ~ top_str(X1) ),
inference(resolution,[],[f997,f882]) ).
fof(f1052,plain,
! [X0,X1] :
( ~ in(X0,cast_as_carrier_subset(X1))
| ~ empty(the_carrier(X1))
| ~ one_sorted_str(X1) ),
inference(resolution,[],[f997,f877]) ).
fof(f997,plain,
! [X2,X0,X1] :
( ~ in(X2,powerset(X0))
| ~ in(X1,X2)
| ~ empty(X0) ),
inference(resolution,[],[f666,f641]) ).
fof(f1050,plain,
! [X0] :
( strict_rel_str(rel_str_of(the_carrier(X0),the_InternalRel(X0)))
| ~ rel_str(X0) ),
inference(resolution,[],[f956,f643]) ).
fof(f1049,plain,
! [X0] :
( rel_str(rel_str_of(the_carrier(X0),the_InternalRel(X0)))
| ~ rel_str(X0) ),
inference(resolution,[],[f956,f644]) ).
fof(f956,plain,
! [X0] :
( relation_of2(the_InternalRel(X0),the_carrier(X0),the_carrier(X0))
| ~ rel_str(X0) ),
inference(resolution,[],[f519,f664]) ).
fof(f935,plain,
! [X0] :
( in(sK13(X0),powerset(powerset(the_carrier(X0))))
| ~ one_sorted_str(X0) ),
inference(subsumption_resolution,[],[f934,f440]) ).
fof(f934,plain,
! [X0] :
( ~ one_sorted_str(X0)
| empty(powerset(powerset(the_carrier(X0))))
| in(sK13(X0),powerset(powerset(the_carrier(X0)))) ),
inference(resolution,[],[f514,f642]) ).
fof(f1043,plain,
! [X0] :
( empty_set = sK28(powerset(sK23(X0)))
| ~ top_str(X0)
| ~ topological_space(X0) ),
inference(resolution,[],[f1023,f621]) ).
fof(f1023,plain,
! [X0] :
( ~ sP5(X0)
| empty_set = sK28(powerset(sK23(X0))) ),
inference(resolution,[],[f1020,f616]) ).
fof(f1022,plain,
! [X0] :
( ~ top_str(X0)
| empty_set = sK28(powerset(sK12(X0))) ),
inference(resolution,[],[f1020,f511]) ).
fof(f1038,plain,
! [X0] :
( ~ trivial_carrier(X0)
| ~ reflexive_relstr(X0)
| empty_carrier(X0)
| ~ rel_str(X0)
| transitive_relstr(X0) ),
inference(resolution,[],[f537,f534]) ).
fof(f1037,plain,
! [X0] :
( ~ trivial_carrier(X0)
| ~ reflexive_relstr(X0)
| empty_carrier(X0)
| ~ rel_str(X0)
| antisymmetric_relstr(X0) ),
inference(resolution,[],[f537,f535]) ).
fof(f1036,plain,
! [X0] :
( ~ trivial_carrier(X0)
| ~ reflexive_relstr(X0)
| empty_carrier(X0)
| ~ rel_str(X0)
| complete_relstr(X0) ),
inference(resolution,[],[f537,f536]) ).
fof(f537,plain,
! [X0] :
( sP1(X0)
| ~ trivial_carrier(X0)
| ~ reflexive_relstr(X0)
| empty_carrier(X0)
| ~ rel_str(X0) ),
inference(cnf_transformation,[],[f324]) ).
fof(f324,plain,
! [X0] :
( sP1(X0)
| ~ trivial_carrier(X0)
| ~ reflexive_relstr(X0)
| empty_carrier(X0)
| ~ rel_str(X0) ),
inference(definition_folding,[],[f220,f323]) ).
fof(f323,plain,
! [X0] :
( ( complete_relstr(X0)
& antisymmetric_relstr(X0)
& transitive_relstr(X0)
& reflexive_relstr(X0)
& ~ empty_carrier(X0) )
| ~ sP1(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])]) ).
fof(f220,plain,
! [X0] :
( ( complete_relstr(X0)
& antisymmetric_relstr(X0)
& transitive_relstr(X0)
& reflexive_relstr(X0)
& ~ empty_carrier(X0) )
| ~ trivial_carrier(X0)
| ~ reflexive_relstr(X0)
| empty_carrier(X0)
| ~ rel_str(X0) ),
inference(flattening,[],[f219]) ).
fof(f219,plain,
! [X0] :
( ( complete_relstr(X0)
& antisymmetric_relstr(X0)
& transitive_relstr(X0)
& reflexive_relstr(X0)
& ~ empty_carrier(X0) )
| ~ trivial_carrier(X0)
| ~ reflexive_relstr(X0)
| empty_carrier(X0)
| ~ rel_str(X0) ),
inference(ennf_transformation,[],[f17]) ).
fof(f17,axiom,
! [X0] :
( rel_str(X0)
=> ( ( trivial_carrier(X0)
& reflexive_relstr(X0)
& ~ empty_carrier(X0) )
=> ( complete_relstr(X0)
& antisymmetric_relstr(X0)
& transitive_relstr(X0)
& reflexive_relstr(X0)
& ~ empty_carrier(X0) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc2_yellow_0) ).
fof(f996,plain,
! [X2,X0,X1] :
( ~ subset(X2,X0)
| ~ in(X1,X2)
| ~ empty(X0) ),
inference(resolution,[],[f666,f654]) ).
fof(f1021,plain,
empty_set = sK28(powerset(empty_set)),
inference(resolution,[],[f1020,f438]) ).
fof(f1028,plain,
empty_set = sK28(powerset(empty_set)),
inference(forward_demodulation,[],[f1026,f766]) ).
fof(f1026,plain,
empty_set = sK28(powerset(sK50)),
inference(resolution,[],[f1020,f747]) ).
fof(f1027,plain,
empty_set = sK28(powerset(empty_set)),
inference(forward_demodulation,[],[f1025,f765]) ).
fof(f1025,plain,
! [X0] : empty_set = sK28(powerset(sK29(X0))),
inference(resolution,[],[f1020,f635]) ).
fof(f1020,plain,
! [X0] :
( ~ empty(X0)
| empty_set = sK28(powerset(X0)) ),
inference(resolution,[],[f1018,f574]) ).
fof(f1018,plain,
! [X0] :
( empty(sK28(powerset(X0)))
| ~ empty(X0) ),
inference(resolution,[],[f1008,f874]) ).
fof(f1008,plain,
! [X0,X1] :
( ~ in(X1,sK28(powerset(X0)))
| ~ empty(X0) ),
inference(resolution,[],[f666,f633]) ).
fof(f999,plain,
! [X0,X1] :
( ~ empty(X0)
| ~ in(X1,empty_set) ),
inference(resolution,[],[f666,f770]) ).
fof(f666,plain,
! [X2,X0,X1] :
( ~ element(X1,powerset(X2))
| ~ empty(X2)
| ~ in(X0,X1) ),
inference(cnf_transformation,[],[f320]) ).
fof(f320,plain,
! [X0,X1,X2] :
( ~ empty(X2)
| ~ element(X1,powerset(X2))
| ~ in(X0,X1) ),
inference(ennf_transformation,[],[f117]) ).
fof(f117,axiom,
! [X0,X1,X2] :
~ ( empty(X2)
& element(X1,powerset(X2))
& in(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t5_subset) ).
fof(f595,plain,
! [X0] :
( finite(sK20(X0))
| ~ rel_str(X0)
| ~ reflexive_relstr(X0)
| empty_carrier(X0) ),
inference(cnf_transformation,[],[f365]) ).
fof(f594,plain,
! [X0] :
( ~ empty(sK20(X0))
| ~ rel_str(X0)
| ~ reflexive_relstr(X0)
| empty_carrier(X0) ),
inference(cnf_transformation,[],[f365]) ).
fof(f581,plain,
! [X0] :
( ~ empty(sK17(X0))
| ~ top_str(X0)
| ~ topological_space(X0)
| empty_carrier(X0) ),
inference(cnf_transformation,[],[f359]) ).
fof(f995,plain,
! [X0] : ~ subset(powerset(powerset(X0)),X0),
inference(resolution,[],[f913,f639]) ).
fof(f913,plain,
! [X0,X1] :
( ~ subset(powerset(X1),X0)
| ~ subset(powerset(X0),X1) ),
inference(resolution,[],[f905,f876]) ).
fof(f951,plain,
! [X0] :
( ~ in(powerset(the_carrier(X0)),sK23(X0))
| ~ sP5(X0) ),
inference(resolution,[],[f885,f640]) ).
fof(f948,plain,
! [X0] :
( ~ in(powerset(the_carrier(X0)),sK15(X0))
| ~ rel_str(X0) ),
inference(resolution,[],[f884,f640]) ).
fof(f945,plain,
! [X0] :
( ~ in(powerset(the_carrier(X0)),sK14(X0))
| ~ rel_str(X0) ),
inference(resolution,[],[f883,f640]) ).
fof(f940,plain,
! [X0] :
( ~ in(powerset(the_carrier(X0)),sK12(X0))
| ~ top_str(X0) ),
inference(resolution,[],[f882,f640]) ).
fof(f937,plain,
! [X0] :
( ~ in(powerset(the_carrier(X0)),cast_as_carrier_subset(X0))
| ~ one_sorted_str(X0) ),
inference(resolution,[],[f877,f640]) ).
fof(f577,plain,
! [X0] :
( ~ empty(sK16(X0))
| ~ top_str(X0)
| ~ topological_space(X0)
| empty_carrier(X0) ),
inference(cnf_transformation,[],[f357]) ).
fof(f954,plain,
( empty_set = sK23(sK36)
| ~ topological_space(sK36) ),
inference(resolution,[],[f799,f667]) ).
fof(f959,plain,
( open_subset(empty_set,sK6)
| ~ sP5(sK6) ),
inference(superposition,[],[f617,f955]) ).
fof(f962,plain,
( nowhere_dense(empty_set,sK6)
| ~ sP5(sK6) ),
inference(superposition,[],[f620,f955]) ).
fof(f960,plain,
( closed_subset(empty_set,sK6)
| ~ sP5(sK6) ),
inference(superposition,[],[f618,f955]) ).
fof(f955,plain,
empty_set = sK23(sK6),
inference(subsumption_resolution,[],[f953,f433]) ).
fof(f953,plain,
( empty_set = sK23(sK6)
| ~ topological_space(sK6) ),
inference(resolution,[],[f799,f434]) ).
fof(f519,plain,
! [X0] :
( relation_of2_as_subset(the_InternalRel(X0),the_carrier(X0),the_carrier(X0))
| ~ rel_str(X0) ),
inference(cnf_transformation,[],[f204]) ).
fof(f204,plain,
! [X0] :
( relation_of2_as_subset(the_InternalRel(X0),the_carrier(X0),the_carrier(X0))
| ~ rel_str(X0) ),
inference(ennf_transformation,[],[f42]) ).
fof(f42,axiom,
! [X0] :
( rel_str(X0)
=> relation_of2_as_subset(the_InternalRel(X0),the_carrier(X0),the_carrier(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_u1_orders_2) ).
fof(f799,plain,
! [X0] :
( ~ top_str(X0)
| empty_set = sK23(X0)
| ~ topological_space(X0) ),
inference(resolution,[],[f769,f621]) ).
fof(f885,plain,
! [X0] :
( in(sK23(X0),powerset(the_carrier(X0)))
| ~ sP5(X0) ),
inference(subsumption_resolution,[],[f873,f440]) ).
fof(f873,plain,
! [X0] :
( empty(powerset(the_carrier(X0)))
| in(sK23(X0),powerset(the_carrier(X0)))
| ~ sP5(X0) ),
inference(resolution,[],[f642,f615]) ).
fof(f884,plain,
! [X0] :
( in(sK15(X0),powerset(the_carrier(X0)))
| ~ rel_str(X0) ),
inference(subsumption_resolution,[],[f872,f440]) ).
fof(f872,plain,
! [X0] :
( empty(powerset(the_carrier(X0)))
| in(sK15(X0),powerset(the_carrier(X0)))
| ~ rel_str(X0) ),
inference(resolution,[],[f642,f572]) ).
fof(f883,plain,
! [X0] :
( in(sK14(X0),powerset(the_carrier(X0)))
| ~ rel_str(X0) ),
inference(subsumption_resolution,[],[f871,f440]) ).
fof(f871,plain,
! [X0] :
( empty(powerset(the_carrier(X0)))
| in(sK14(X0),powerset(the_carrier(X0)))
| ~ rel_str(X0) ),
inference(resolution,[],[f642,f571]) ).
fof(f882,plain,
! [X0] :
( in(sK12(X0),powerset(the_carrier(X0)))
| ~ top_str(X0) ),
inference(subsumption_resolution,[],[f870,f440]) ).
fof(f870,plain,
! [X0] :
( empty(powerset(the_carrier(X0)))
| in(sK12(X0),powerset(the_carrier(X0)))
| ~ top_str(X0) ),
inference(resolution,[],[f642,f510]) ).
fof(f877,plain,
! [X0] :
( in(cast_as_carrier_subset(X0),powerset(the_carrier(X0)))
| ~ one_sorted_str(X0) ),
inference(subsumption_resolution,[],[f864,f440]) ).
fof(f864,plain,
! [X0] :
( empty(powerset(the_carrier(X0)))
| in(cast_as_carrier_subset(X0),powerset(the_carrier(X0)))
| ~ one_sorted_str(X0) ),
inference(resolution,[],[f642,f513]) ).
fof(f861,plain,
! [X0] :
( finite(sK23(X0))
| ~ sP5(X0)
| ~ finite(the_carrier(X0)) ),
inference(resolution,[],[f615,f517]) ).
fof(f860,plain,
! [X0] :
( finite(sK15(X0))
| ~ rel_str(X0)
| ~ finite(the_carrier(X0)) ),
inference(resolution,[],[f572,f517]) ).
fof(f859,plain,
! [X0] :
( finite(sK14(X0))
| ~ rel_str(X0)
| ~ finite(the_carrier(X0)) ),
inference(resolution,[],[f571,f517]) ).
fof(f854,plain,
! [X0] :
( upper_bounded_relstr(X0)
| empty_carrier(X0)
| ~ rel_str(X0)
| ~ complete_relstr(X0) ),
inference(duplicate_literal_removal,[],[f851]) ).
fof(f851,plain,
! [X0] :
( ~ complete_relstr(X0)
| empty_carrier(X0)
| ~ rel_str(X0)
| upper_bounded_relstr(X0)
| ~ rel_str(X0) ),
inference(resolution,[],[f526,f521]) ).
fof(f853,plain,
! [X0] :
( lower_bounded_relstr(X0)
| empty_carrier(X0)
| ~ rel_str(X0)
| ~ complete_relstr(X0) ),
inference(duplicate_literal_removal,[],[f852]) ).
fof(f852,plain,
! [X0] :
( ~ complete_relstr(X0)
| empty_carrier(X0)
| ~ rel_str(X0)
| lower_bounded_relstr(X0)
| ~ rel_str(X0) ),
inference(resolution,[],[f526,f520]) ).
fof(f514,plain,
! [X0] :
( element(sK13(X0),powerset(powerset(the_carrier(X0))))
| ~ one_sorted_str(X0) ),
inference(cnf_transformation,[],[f348]) ).
fof(f348,plain,
! [X0] :
( ( finite(sK13(X0))
& ~ empty(sK13(X0))
& element(sK13(X0),powerset(powerset(the_carrier(X0)))) )
| ~ one_sorted_str(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK13])],[f201,f347]) ).
fof(f347,plain,
! [X0] :
( ? [X1] :
( finite(X1)
& ~ empty(X1)
& element(X1,powerset(powerset(the_carrier(X0)))) )
=> ( finite(sK13(X0))
& ~ empty(sK13(X0))
& element(sK13(X0),powerset(powerset(the_carrier(X0)))) ) ),
introduced(choice_axiom,[]) ).
fof(f201,plain,
! [X0] :
( ? [X1] :
( finite(X1)
& ~ empty(X1)
& element(X1,powerset(powerset(the_carrier(X0)))) )
| ~ one_sorted_str(X0) ),
inference(ennf_transformation,[],[f97]) ).
fof(f97,axiom,
! [X0] :
( one_sorted_str(X0)
=> ? [X1] :
( finite(X1)
& ~ empty(X1)
& element(X1,powerset(powerset(the_carrier(X0)))) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc3_waybel_7) ).
fof(f825,plain,
! [X0] :
( finite(sK12(X0))
| ~ finite(the_carrier(X0))
| ~ top_str(X0) ),
inference(resolution,[],[f517,f510]) ).
fof(f820,plain,
! [X0] :
( finite(cast_as_carrier_subset(X0))
| ~ finite(the_carrier(X0))
| ~ one_sorted_str(X0) ),
inference(resolution,[],[f517,f513]) ).
fof(f819,plain,
! [X0,X1] :
( ~ in(X0,powerset(X1))
| ~ finite(X1)
| finite(X0) ),
inference(resolution,[],[f517,f641]) ).
fof(f923,plain,
! [X0,X1] :
( ~ empty(X0)
| sK23(X1) = X0
| ~ top_str(X1)
| ~ topological_space(X1) ),
inference(resolution,[],[f811,f621]) ).
fof(f811,plain,
! [X0,X1] :
( ~ sP5(X1)
| ~ empty(X0)
| sK23(X1) = X0 ),
inference(resolution,[],[f655,f616]) ).
fof(f810,plain,
! [X0,X1] :
( ~ top_str(X1)
| ~ empty(X0)
| sK12(X1) = X0 ),
inference(resolution,[],[f655,f511]) ).
fof(f665,plain,
! [X2,X0,X1] :
( relation_of2_as_subset(X2,X0,X1)
| ~ relation_of2(X2,X0,X1) ),
inference(cnf_transformation,[],[f401]) ).
fof(f401,plain,
! [X0,X1,X2] :
( ( relation_of2_as_subset(X2,X0,X1)
| ~ relation_of2(X2,X0,X1) )
& ( relation_of2(X2,X0,X1)
| ~ relation_of2_as_subset(X2,X0,X1) ) ),
inference(nnf_transformation,[],[f108]) ).
fof(f108,axiom,
! [X0,X1,X2] :
( relation_of2_as_subset(X2,X0,X1)
<=> relation_of2(X2,X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',redefinition_m2_relset_1) ).
fof(f917,plain,
! [X0] : strict_rel_str(rel_str_of(X0,sK34(X0,X0))),
inference(resolution,[],[f915,f643]) ).
fof(f916,plain,
! [X0] : rel_str(rel_str_of(X0,sK34(X0,X0))),
inference(resolution,[],[f915,f644]) ).
fof(f915,plain,
! [X0,X1] : relation_of2(sK34(X0,X1),X0,X1),
inference(resolution,[],[f664,f658]) ).
fof(f664,plain,
! [X2,X0,X1] :
( ~ relation_of2_as_subset(X2,X0,X1)
| relation_of2(X2,X0,X1) ),
inference(cnf_transformation,[],[f401]) ).
fof(f651,plain,
! [X0,X1] :
( finite(cartesian_product2(X0,X1))
| ~ finite(X1)
| ~ finite(X0) ),
inference(cnf_transformation,[],[f310]) ).
fof(f310,plain,
! [X0,X1] :
( finite(cartesian_product2(X0,X1))
| ~ finite(X1)
| ~ finite(X0) ),
inference(flattening,[],[f309]) ).
fof(f309,plain,
! [X0,X1] :
( finite(cartesian_product2(X0,X1))
| ~ finite(X1)
| ~ finite(X0) ),
inference(ennf_transformation,[],[f52]) ).
fof(f52,axiom,
! [X0,X1] :
( ( finite(X1)
& finite(X0) )
=> finite(cartesian_product2(X0,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc14_finset_1) ).
fof(f647,plain,
! [X0,X1] :
( ~ empty(cartesian_product2(X0,X1))
| empty(X1)
| empty(X0) ),
inference(cnf_transformation,[],[f302]) ).
fof(f302,plain,
! [X0,X1] :
( ~ empty(cartesian_product2(X0,X1))
| empty(X1)
| empty(X0) ),
inference(flattening,[],[f301]) ).
fof(f301,plain,
! [X0,X1] :
( ~ empty(cartesian_product2(X0,X1))
| empty(X1)
| empty(X0) ),
inference(ennf_transformation,[],[f63]) ).
fof(f63,axiom,
! [X0,X1] :
( ( ~ empty(X1)
& ~ empty(X0) )
=> ~ empty(cartesian_product2(X0,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc4_subset_1) ).
fof(f914,plain,
! [X0] : rel_str(rel_str_of(X0,sK33(X0,X0))),
inference(resolution,[],[f644,f657]) ).
fof(f644,plain,
! [X0,X1] :
( ~ relation_of2(X1,X0,X0)
| rel_str(rel_str_of(X0,X1)) ),
inference(cnf_transformation,[],[f299]) ).
fof(f299,plain,
! [X0,X1] :
( ( rel_str(rel_str_of(X0,X1))
& strict_rel_str(rel_str_of(X0,X1)) )
| ~ relation_of2(X1,X0,X0) ),
inference(ennf_transformation,[],[f28]) ).
fof(f28,axiom,
! [X0,X1] :
( relation_of2(X1,X0,X0)
=> ( rel_str(rel_str_of(X0,X1))
& strict_rel_str(rel_str_of(X0,X1)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_g1_orders_2) ).
fof(f911,plain,
! [X0] :
( ~ in(powerset(X0),sK11(X0))
| empty(X0) ),
inference(resolution,[],[f881,f640]) ).
fof(f909,plain,
! [X0] :
( ~ in(powerset(X0),sK10(X0))
| empty(X0) ),
inference(resolution,[],[f880,f640]) ).
fof(f907,plain,
! [X0] :
( ~ in(powerset(X0),sK9(X0))
| empty(X0) ),
inference(resolution,[],[f879,f640]) ).
fof(f905,plain,
! [X0,X1] :
( ~ in(powerset(X1),X0)
| ~ subset(X0,X1) ),
inference(resolution,[],[f876,f640]) ).
fof(f881,plain,
! [X0] :
( in(sK11(X0),powerset(X0))
| empty(X0) ),
inference(subsumption_resolution,[],[f869,f440]) ).
fof(f869,plain,
! [X0] :
( empty(powerset(X0))
| in(sK11(X0),powerset(X0))
| empty(X0) ),
inference(resolution,[],[f642,f505]) ).
fof(f880,plain,
! [X0] :
( in(sK10(X0),powerset(X0))
| empty(X0) ),
inference(subsumption_resolution,[],[f868,f440]) ).
fof(f868,plain,
! [X0] :
( empty(powerset(X0))
| in(sK10(X0),powerset(X0))
| empty(X0) ),
inference(resolution,[],[f642,f502]) ).
fof(f879,plain,
! [X0] :
( in(sK9(X0),powerset(X0))
| empty(X0) ),
inference(subsumption_resolution,[],[f867,f440]) ).
fof(f867,plain,
! [X0] :
( empty(powerset(X0))
| in(sK9(X0),powerset(X0))
| empty(X0) ),
inference(resolution,[],[f642,f500]) ).
fof(f876,plain,
! [X0,X1] :
( in(X1,powerset(X0))
| ~ subset(X1,X0) ),
inference(subsumption_resolution,[],[f863,f440]) ).
fof(f863,plain,
! [X0,X1] :
( empty(powerset(X0))
| in(X1,powerset(X0))
| ~ subset(X1,X0) ),
inference(resolution,[],[f642,f654]) ).
fof(f904,plain,
! [X0] : strict_rel_str(rel_str_of(X0,sK33(X0,X0))),
inference(resolution,[],[f643,f657]) ).
fof(f643,plain,
! [X0,X1] :
( ~ relation_of2(X1,X0,X0)
| strict_rel_str(rel_str_of(X0,X1)) ),
inference(cnf_transformation,[],[f299]) ).
fof(f902,plain,
! [X0] : ~ in(powerset(powerset(X0)),sK30(X0)),
inference(resolution,[],[f886,f640]) ).
fof(f900,plain,
! [X0] :
( ~ in(X0,sK28(X0))
| empty(X0) ),
inference(resolution,[],[f874,f640]) ).
fof(f886,plain,
! [X0] : in(sK30(X0),powerset(powerset(X0))),
inference(subsumption_resolution,[],[f875,f440]) ).
fof(f875,plain,
! [X0] :
( empty(powerset(powerset(X0)))
| in(sK30(X0),powerset(powerset(X0))) ),
inference(resolution,[],[f642,f636]) ).
fof(f874,plain,
! [X0] :
( in(sK28(X0),X0)
| empty(X0) ),
inference(resolution,[],[f642,f633]) ).
fof(f866,plain,
( empty(the_carrier(sK6))
| in(sK7,the_carrier(sK6)) ),
inference(resolution,[],[f642,f435]) ).
fof(f887,plain,
! [X0] : ~ in(powerset(X0),empty_set),
inference(resolution,[],[f878,f640]) ).
fof(f878,plain,
! [X0] : in(empty_set,powerset(X0)),
inference(subsumption_resolution,[],[f865,f440]) ).
fof(f865,plain,
! [X0] :
( empty(powerset(X0))
| in(empty_set,powerset(X0)) ),
inference(resolution,[],[f642,f770]) ).
fof(f642,plain,
! [X0,X1] :
( ~ element(X0,X1)
| empty(X1)
| in(X0,X1) ),
inference(cnf_transformation,[],[f298]) ).
fof(f298,plain,
! [X0,X1] :
( in(X0,X1)
| empty(X1)
| ~ element(X0,X1) ),
inference(flattening,[],[f297]) ).
fof(f297,plain,
! [X0,X1] :
( in(X0,X1)
| empty(X1)
| ~ element(X0,X1) ),
inference(ennf_transformation,[],[f111]) ).
fof(f111,axiom,
! [X0,X1] :
( element(X0,X1)
=> ( in(X0,X1)
| empty(X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t2_subset) ).
fof(f628,plain,
! [X0] :
( closed_subset(sK26(X0),X0)
| ~ top_str(X0)
| ~ topological_space(X0) ),
inference(cnf_transformation,[],[f379]) ).
fof(f626,plain,
! [X0] :
( closed_subset(sK25(X0),X0)
| ~ top_str(X0)
| ~ topological_space(X0) ),
inference(cnf_transformation,[],[f377]) ).
fof(f625,plain,
! [X0] :
( open_subset(sK25(X0),X0)
| ~ top_str(X0)
| ~ topological_space(X0) ),
inference(cnf_transformation,[],[f377]) ).
fof(f623,plain,
! [X0] :
( open_subset(sK24(X0),X0)
| ~ top_str(X0)
| ~ topological_space(X0) ),
inference(cnf_transformation,[],[f375]) ).
fof(f615,plain,
! [X0] :
( element(sK23(X0),powerset(the_carrier(X0)))
| ~ sP5(X0) ),
inference(cnf_transformation,[],[f373]) ).
fof(f373,plain,
! [X0] :
( ( nowhere_dense(sK23(X0),X0)
& boundary_set(sK23(X0),X0)
& closed_subset(sK23(X0),X0)
& open_subset(sK23(X0),X0)
& empty(sK23(X0))
& element(sK23(X0),powerset(the_carrier(X0))) )
| ~ sP5(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK23])],[f371,f372]) ).
fof(f372,plain,
! [X0] :
( ? [X1] :
( nowhere_dense(X1,X0)
& boundary_set(X1,X0)
& closed_subset(X1,X0)
& open_subset(X1,X0)
& empty(X1)
& element(X1,powerset(the_carrier(X0))) )
=> ( nowhere_dense(sK23(X0),X0)
& boundary_set(sK23(X0),X0)
& closed_subset(sK23(X0),X0)
& open_subset(sK23(X0),X0)
& empty(sK23(X0))
& element(sK23(X0),powerset(the_carrier(X0))) ) ),
introduced(choice_axiom,[]) ).
fof(f371,plain,
! [X0] :
( ? [X1] :
( nowhere_dense(X1,X0)
& boundary_set(X1,X0)
& closed_subset(X1,X0)
& open_subset(X1,X0)
& empty(X1)
& element(X1,powerset(the_carrier(X0))) )
| ~ sP5(X0) ),
inference(nnf_transformation,[],[f331]) ).
fof(f331,plain,
! [X0] :
( ? [X1] :
( nowhere_dense(X1,X0)
& boundary_set(X1,X0)
& closed_subset(X1,X0)
& open_subset(X1,X0)
& empty(X1)
& element(X1,powerset(the_carrier(X0))) )
| ~ sP5(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP5])]) ).
fof(f601,plain,
! [X0] :
( open_subset(cast_as_carrier_subset(X0),X0)
| ~ top_str(X0)
| ~ topological_space(X0) ),
inference(cnf_transformation,[],[f270]) ).
fof(f270,plain,
! [X0] :
( ( closed_subset(cast_as_carrier_subset(X0),X0)
& open_subset(cast_as_carrier_subset(X0),X0) )
| ~ top_str(X0)
| ~ topological_space(X0) ),
inference(flattening,[],[f269]) ).
fof(f269,plain,
! [X0] :
( ( closed_subset(cast_as_carrier_subset(X0),X0)
& open_subset(cast_as_carrier_subset(X0),X0) )
| ~ top_str(X0)
| ~ topological_space(X0) ),
inference(ennf_transformation,[],[f68]) ).
fof(f68,axiom,
! [X0] :
( ( top_str(X0)
& topological_space(X0) )
=> ( closed_subset(cast_as_carrier_subset(X0),X0)
& open_subset(cast_as_carrier_subset(X0),X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc8_tops_1) ).
fof(f600,plain,
! [X0] :
( closed_subset(cast_as_carrier_subset(X0),X0)
| ~ top_str(X0)
| ~ topological_space(X0) ),
inference(cnf_transformation,[],[f268]) ).
fof(f268,plain,
! [X0] :
( closed_subset(cast_as_carrier_subset(X0),X0)
| ~ top_str(X0)
| ~ topological_space(X0) ),
inference(flattening,[],[f267]) ).
fof(f267,plain,
! [X0] :
( closed_subset(cast_as_carrier_subset(X0),X0)
| ~ top_str(X0)
| ~ topological_space(X0) ),
inference(ennf_transformation,[],[f65]) ).
fof(f65,axiom,
! [X0] :
( ( top_str(X0)
& topological_space(X0) )
=> closed_subset(cast_as_carrier_subset(X0),X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc5_pre_topc) ).
fof(f572,plain,
! [X0] :
( element(sK15(X0),powerset(the_carrier(X0)))
| ~ rel_str(X0) ),
inference(cnf_transformation,[],[f355]) ).
fof(f355,plain,
! [X0] :
( element(sK15(X0),powerset(the_carrier(X0)))
| ~ rel_str(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK15])],[f236,f354]) ).
fof(f354,plain,
! [X0] :
( ? [X1] : element(X1,powerset(the_carrier(X0)))
=> element(sK15(X0),powerset(the_carrier(X0))) ),
introduced(choice_axiom,[]) ).
fof(f236,plain,
! [X0] :
( ? [X1] : element(X1,powerset(the_carrier(X0)))
| ~ rel_str(X0) ),
inference(ennf_transformation,[],[f133]) ).
fof(f133,plain,
! [X0] :
( rel_str(X0)
=> ? [X1] : element(X1,powerset(the_carrier(X0))) ),
inference(pure_predicate_removal,[],[f126]) ).
fof(f126,plain,
! [X0] :
( rel_str(X0)
=> ? [X1] :
( directed_subset(X1,X0)
& element(X1,powerset(the_carrier(X0))) ) ),
inference(pure_predicate_removal,[],[f83]) ).
fof(f83,axiom,
! [X0] :
( rel_str(X0)
=> ? [X1] :
( filtered_subset(X1,X0)
& directed_subset(X1,X0)
& element(X1,powerset(the_carrier(X0))) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc1_waybel_0) ).
fof(f571,plain,
! [X0] :
( element(sK14(X0),powerset(the_carrier(X0)))
| ~ rel_str(X0) ),
inference(cnf_transformation,[],[f353]) ).
fof(f353,plain,
! [X0] :
( element(sK14(X0),powerset(the_carrier(X0)))
| ~ rel_str(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK14])],[f235,f352]) ).
fof(f352,plain,
! [X0] :
( ? [X1] : element(X1,powerset(the_carrier(X0)))
=> element(sK14(X0),powerset(the_carrier(X0))) ),
introduced(choice_axiom,[]) ).
fof(f235,plain,
! [X0] :
( ? [X1] : element(X1,powerset(the_carrier(X0)))
| ~ rel_str(X0) ),
inference(ennf_transformation,[],[f160]) ).
fof(f160,plain,
! [X0] :
( rel_str(X0)
=> ? [X1] : element(X1,powerset(the_carrier(X0))) ),
inference(pure_predicate_removal,[],[f158]) ).
fof(f158,plain,
! [X0] :
( rel_str(X0)
=> ? [X1] :
( lower_relstr_subset(X1,X0)
& element(X1,powerset(the_carrier(X0))) ) ),
inference(pure_predicate_removal,[],[f105]) ).
fof(f105,axiom,
! [X0] :
( rel_str(X0)
=> ? [X1] :
( upper_relstr_subset(X1,X0)
& lower_relstr_subset(X1,X0)
& element(X1,powerset(the_carrier(X0))) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc7_waybel_0) ).
fof(f529,plain,
! [X0] :
( with_infima_relstr(X0)
| ~ complete_relstr(X0)
| empty_carrier(X0)
| ~ rel_str(X0) ),
inference(cnf_transformation,[],[f216]) ).
fof(f216,plain,
! [X0] :
( ( with_infima_relstr(X0)
& with_suprema_relstr(X0)
& ~ empty_carrier(X0) )
| ~ complete_relstr(X0)
| empty_carrier(X0)
| ~ rel_str(X0) ),
inference(flattening,[],[f215]) ).
fof(f215,plain,
! [X0] :
( ( with_infima_relstr(X0)
& with_suprema_relstr(X0)
& ~ empty_carrier(X0) )
| ~ complete_relstr(X0)
| empty_carrier(X0)
| ~ rel_str(X0) ),
inference(ennf_transformation,[],[f13]) ).
fof(f13,axiom,
! [X0] :
( rel_str(X0)
=> ( ( complete_relstr(X0)
& ~ empty_carrier(X0) )
=> ( with_infima_relstr(X0)
& with_suprema_relstr(X0)
& ~ empty_carrier(X0) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc1_yellow_0) ).
fof(f528,plain,
! [X0] :
( with_suprema_relstr(X0)
| ~ complete_relstr(X0)
| empty_carrier(X0)
| ~ rel_str(X0) ),
inference(cnf_transformation,[],[f216]) ).
fof(f526,plain,
! [X0] :
( bounded_relstr(X0)
| ~ complete_relstr(X0)
| empty_carrier(X0)
| ~ rel_str(X0) ),
inference(cnf_transformation,[],[f214]) ).
fof(f214,plain,
! [X0] :
( ( bounded_relstr(X0)
& ~ empty_carrier(X0) )
| ~ complete_relstr(X0)
| empty_carrier(X0)
| ~ rel_str(X0) ),
inference(flattening,[],[f213]) ).
fof(f213,plain,
! [X0] :
( ( bounded_relstr(X0)
& ~ empty_carrier(X0) )
| ~ complete_relstr(X0)
| empty_carrier(X0)
| ~ rel_str(X0) ),
inference(ennf_transformation,[],[f19]) ).
fof(f19,axiom,
! [X0] :
( rel_str(X0)
=> ( ( complete_relstr(X0)
& ~ empty_carrier(X0) )
=> ( bounded_relstr(X0)
& ~ empty_carrier(X0) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc3_yellow_0) ).
fof(f822,plain,
! [X0] :
( finite(sK9(X0))
| ~ finite(X0)
| empty(X0) ),
inference(resolution,[],[f517,f500]) ).
fof(f818,plain,
! [X0,X1] :
( ~ subset(X0,X1)
| ~ finite(X1)
| finite(X0) ),
inference(resolution,[],[f517,f654]) ).
fof(f826,plain,
! [X0] :
( finite(sK28(powerset(X0)))
| ~ finite(X0) ),
inference(resolution,[],[f517,f633]) ).
fof(f821,plain,
! [X0] :
( finite(empty_set)
| ~ finite(X0) ),
inference(resolution,[],[f517,f770]) ).
fof(f517,plain,
! [X0,X1] :
( ~ element(X1,powerset(X0))
| finite(X1)
| ~ finite(X0) ),
inference(cnf_transformation,[],[f202]) ).
fof(f202,plain,
! [X0] :
( ! [X1] :
( finite(X1)
| ~ element(X1,powerset(X0)) )
| ~ finite(X0) ),
inference(ennf_transformation,[],[f14]) ).
fof(f14,axiom,
! [X0] :
( finite(X0)
=> ! [X1] :
( element(X1,powerset(X0))
=> finite(X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc2_finset_1) ).
fof(f513,plain,
! [X0] :
( element(cast_as_carrier_subset(X0),powerset(the_carrier(X0)))
| ~ one_sorted_str(X0) ),
inference(cnf_transformation,[],[f200]) ).
fof(f200,plain,
! [X0] :
( element(cast_as_carrier_subset(X0),powerset(the_carrier(X0)))
| ~ one_sorted_str(X0) ),
inference(ennf_transformation,[],[f32]) ).
fof(f32,axiom,
! [X0] :
( one_sorted_str(X0)
=> element(cast_as_carrier_subset(X0),powerset(the_carrier(X0))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k2_pre_topc) ).
fof(f510,plain,
! [X0] :
( element(sK12(X0),powerset(the_carrier(X0)))
| ~ top_str(X0) ),
inference(cnf_transformation,[],[f346]) ).
fof(f346,plain,
! [X0] :
( ( boundary_set(sK12(X0),X0)
& empty(sK12(X0))
& element(sK12(X0),powerset(the_carrier(X0))) )
| ~ top_str(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK12])],[f199,f345]) ).
fof(f345,plain,
! [X0] :
( ? [X1] :
( boundary_set(X1,X0)
& empty(X1)
& element(X1,powerset(the_carrier(X0))) )
=> ( boundary_set(sK12(X0),X0)
& empty(sK12(X0))
& element(sK12(X0),powerset(the_carrier(X0))) ) ),
introduced(choice_axiom,[]) ).
fof(f199,plain,
! [X0] :
( ? [X1] :
( boundary_set(X1,X0)
& empty(X1)
& element(X1,powerset(the_carrier(X0))) )
| ~ top_str(X0) ),
inference(ennf_transformation,[],[f180]) ).
fof(f180,plain,
! [X0] :
( top_str(X0)
=> ? [X1] :
( boundary_set(X1,X0)
& empty(X1)
& element(X1,powerset(the_carrier(X0))) ) ),
inference(pure_predicate_removal,[],[f175]) ).
fof(f175,plain,
! [X0] :
( top_str(X0)
=> ? [X1] :
( boundary_set(X1,X0)
& v1_membered(X1)
& empty(X1)
& element(X1,powerset(the_carrier(X0))) ) ),
inference(pure_predicate_removal,[],[f174]) ).
fof(f174,plain,
! [X0] :
( top_str(X0)
=> ? [X1] :
( boundary_set(X1,X0)
& v2_membered(X1)
& v1_membered(X1)
& empty(X1)
& element(X1,powerset(the_carrier(X0))) ) ),
inference(pure_predicate_removal,[],[f169]) ).
fof(f169,plain,
! [X0] :
( top_str(X0)
=> ? [X1] :
( boundary_set(X1,X0)
& v3_membered(X1)
& v2_membered(X1)
& v1_membered(X1)
& empty(X1)
& element(X1,powerset(the_carrier(X0))) ) ),
inference(pure_predicate_removal,[],[f166]) ).
fof(f166,plain,
! [X0] :
( top_str(X0)
=> ? [X1] :
( boundary_set(X1,X0)
& v4_membered(X1)
& v3_membered(X1)
& v2_membered(X1)
& v1_membered(X1)
& empty(X1)
& element(X1,powerset(the_carrier(X0))) ) ),
inference(pure_predicate_removal,[],[f99]) ).
fof(f99,axiom,
! [X0] :
( top_str(X0)
=> ? [X1] :
( boundary_set(X1,X0)
& v5_membered(X1)
& v4_membered(X1)
& v3_membered(X1)
& v2_membered(X1)
& v1_membered(X1)
& empty(X1)
& element(X1,powerset(the_carrier(X0))) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc4_tops_1) ).
fof(f655,plain,
! [X0,X1] :
( ~ empty(X1)
| X0 = X1
| ~ empty(X0) ),
inference(cnf_transformation,[],[f313]) ).
fof(f313,plain,
! [X0,X1] :
( ~ empty(X1)
| X0 = X1
| ~ empty(X0) ),
inference(ennf_transformation,[],[f120]) ).
fof(f120,axiom,
! [X0,X1] :
~ ( empty(X1)
& X0 != X1
& empty(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t8_boole) ).
fof(f654,plain,
! [X0,X1] :
( element(X0,powerset(X1))
| ~ subset(X0,X1) ),
inference(cnf_transformation,[],[f312]) ).
fof(f312,plain,
! [X0,X1] :
( element(X0,powerset(X1))
| ~ subset(X0,X1) ),
inference(ennf_transformation,[],[f122]) ).
fof(f122,plain,
! [X0,X1] :
( subset(X0,X1)
=> element(X0,powerset(X1)) ),
inference(unused_predicate_definition_removal,[],[f113]) ).
fof(f113,axiom,
! [X0,X1] :
( element(X0,powerset(X1))
<=> subset(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t3_subset) ).
fof(f630,plain,
! [X0] :
( ~ empty(cast_as_carrier_subset(X0))
| ~ rel_str(X0)
| ~ with_suprema_relstr(X0) ),
inference(cnf_transformation,[],[f292]) ).
fof(f292,plain,
! [X0] :
( ~ empty(cast_as_carrier_subset(X0))
| ~ rel_str(X0)
| ~ with_suprema_relstr(X0) ),
inference(flattening,[],[f291]) ).
fof(f291,plain,
! [X0] :
( ~ empty(cast_as_carrier_subset(X0))
| ~ rel_str(X0)
| ~ with_suprema_relstr(X0) ),
inference(ennf_transformation,[],[f132]) ).
fof(f132,plain,
! [X0] :
( ( rel_str(X0)
& with_suprema_relstr(X0) )
=> ~ empty(cast_as_carrier_subset(X0)) ),
inference(pure_predicate_removal,[],[f58]) ).
fof(f58,axiom,
! [X0] :
( ( rel_str(X0)
& with_suprema_relstr(X0) )
=> ( directed_subset(cast_as_carrier_subset(X0),X0)
& ~ empty(cast_as_carrier_subset(X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc2_waybel_0) ).
fof(f629,plain,
! [X0] :
( ~ empty(cast_as_carrier_subset(X0))
| ~ rel_str(X0)
| ~ with_infima_relstr(X0) ),
inference(cnf_transformation,[],[f290]) ).
fof(f290,plain,
! [X0] :
( ~ empty(cast_as_carrier_subset(X0))
| ~ rel_str(X0)
| ~ with_infima_relstr(X0) ),
inference(flattening,[],[f289]) ).
fof(f289,plain,
! [X0] :
( ~ empty(cast_as_carrier_subset(X0))
| ~ rel_str(X0)
| ~ with_infima_relstr(X0) ),
inference(ennf_transformation,[],[f130]) ).
fof(f130,plain,
! [X0] :
( ( rel_str(X0)
& with_infima_relstr(X0) )
=> ~ empty(cast_as_carrier_subset(X0)) ),
inference(pure_predicate_removal,[],[f64]) ).
fof(f64,axiom,
! [X0] :
( ( rel_str(X0)
& with_infima_relstr(X0) )
=> ( filtered_subset(cast_as_carrier_subset(X0),X0)
& ~ empty(cast_as_carrier_subset(X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc4_waybel_0) ).
fof(f592,plain,
! [X0] :
( ~ empty(sK19(X0))
| ~ rel_str(X0)
| empty_carrier(X0) ),
inference(cnf_transformation,[],[f363]) ).
fof(f589,plain,
! [X0] :
( ~ empty(cast_as_carrier_subset(X0))
| ~ rel_str(X0)
| empty_carrier(X0) ),
inference(cnf_transformation,[],[f256]) ).
fof(f256,plain,
! [X0] :
( ~ empty(cast_as_carrier_subset(X0))
| ~ rel_str(X0)
| empty_carrier(X0) ),
inference(flattening,[],[f255]) ).
fof(f255,plain,
! [X0] :
( ~ empty(cast_as_carrier_subset(X0))
| ~ rel_str(X0)
| empty_carrier(X0) ),
inference(ennf_transformation,[],[f60]) ).
fof(f60,axiom,
! [X0] :
( ( rel_str(X0)
& ~ empty_carrier(X0) )
=> ~ empty(cast_as_carrier_subset(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc2_yellow_0) ).
fof(f586,plain,
! [X0] :
( ~ empty(sK18(X0))
| ~ one_sorted_str(X0)
| empty_carrier(X0) ),
inference(cnf_transformation,[],[f361]) ).
fof(f584,plain,
! [X0] :
( ~ empty(the_carrier(X0))
| ~ one_sorted_str(X0)
| empty_carrier(X0) ),
inference(cnf_transformation,[],[f248]) ).
fof(f248,plain,
! [X0] :
( ~ empty(the_carrier(X0))
| ~ one_sorted_str(X0)
| empty_carrier(X0) ),
inference(flattening,[],[f247]) ).
fof(f247,plain,
! [X0] :
( ~ empty(the_carrier(X0))
| ~ one_sorted_str(X0)
| empty_carrier(X0) ),
inference(ennf_transformation,[],[f54]) ).
fof(f54,axiom,
! [X0] :
( ( one_sorted_str(X0)
& ~ empty_carrier(X0) )
=> ~ empty(the_carrier(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc1_struct_0) ).
fof(f583,plain,
! [X0] :
( ~ empty(cast_as_carrier_subset(X0))
| ~ one_sorted_str(X0)
| empty_carrier(X0) ),
inference(cnf_transformation,[],[f246]) ).
fof(f246,plain,
! [X0] :
( ~ empty(cast_as_carrier_subset(X0))
| ~ one_sorted_str(X0)
| empty_carrier(X0) ),
inference(flattening,[],[f245]) ).
fof(f245,plain,
! [X0] :
( ~ empty(cast_as_carrier_subset(X0))
| ~ one_sorted_str(X0)
| empty_carrier(X0) ),
inference(ennf_transformation,[],[f57]) ).
fof(f57,axiom,
! [X0] :
( ( one_sorted_str(X0)
& ~ empty_carrier(X0) )
=> ~ empty(cast_as_carrier_subset(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc2_pre_topc) ).
fof(f505,plain,
! [X0] :
( element(sK11(X0),powerset(X0))
| empty(X0) ),
inference(cnf_transformation,[],[f344]) ).
fof(f344,plain,
! [X0] :
( ( finite(sK11(X0))
& ~ empty(sK11(X0))
& element(sK11(X0),powerset(X0)) )
| empty(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK11])],[f195,f343]) ).
fof(f343,plain,
! [X0] :
( ? [X1] :
( finite(X1)
& ~ empty(X1)
& element(X1,powerset(X0)) )
=> ( finite(sK11(X0))
& ~ empty(sK11(X0))
& element(sK11(X0),powerset(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f195,plain,
! [X0] :
( ? [X1] :
( finite(X1)
& ~ empty(X1)
& element(X1,powerset(X0)) )
| empty(X0) ),
inference(ennf_transformation,[],[f98]) ).
fof(f98,axiom,
! [X0] :
( ~ empty(X0)
=> ? [X1] :
( finite(X1)
& ~ empty(X1)
& element(X1,powerset(X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc4_finset_1) ).
fof(f502,plain,
! [X0] :
( element(sK10(X0),powerset(X0))
| empty(X0) ),
inference(cnf_transformation,[],[f342]) ).
fof(f342,plain,
! [X0] :
( ( finite(sK10(X0))
& ~ empty(sK10(X0))
& element(sK10(X0),powerset(X0)) )
| empty(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK10])],[f194,f341]) ).
fof(f341,plain,
! [X0] :
( ? [X1] :
( finite(X1)
& ~ empty(X1)
& element(X1,powerset(X0)) )
=> ( finite(sK10(X0))
& ~ empty(sK10(X0))
& element(sK10(X0),powerset(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f194,plain,
! [X0] :
( ? [X1] :
( finite(X1)
& ~ empty(X1)
& element(X1,powerset(X0)) )
| empty(X0) ),
inference(ennf_transformation,[],[f93]) ).
fof(f93,axiom,
! [X0] :
( ~ empty(X0)
=> ? [X1] :
( finite(X1)
& ~ empty(X1)
& element(X1,powerset(X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc3_finset_1) ).
fof(f500,plain,
! [X0] :
( element(sK9(X0),powerset(X0))
| empty(X0) ),
inference(cnf_transformation,[],[f340]) ).
fof(f340,plain,
! [X0] :
( ( ~ empty(sK9(X0))
& element(sK9(X0),powerset(X0)) )
| empty(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK9])],[f193,f339]) ).
fof(f339,plain,
! [X0] :
( ? [X1] :
( ~ empty(X1)
& element(X1,powerset(X0)) )
=> ( ~ empty(sK9(X0))
& element(sK9(X0),powerset(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f193,plain,
! [X0] :
( ? [X1] :
( ~ empty(X1)
& element(X1,powerset(X0)) )
| empty(X0) ),
inference(ennf_transformation,[],[f81]) ).
fof(f81,axiom,
! [X0] :
( ~ empty(X0)
=> ? [X1] :
( ~ empty(X1)
& element(X1,powerset(X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc1_subset_1) ).
fof(f807,plain,
( point_neighbourhood(sK8,sK6,sK7)
| ~ spl51_2 ),
inference(avatar_component_clause,[],[f805]) ).
fof(f436,plain,
( point_neighbourhood(sK8,sK6,sK7)
| in(sK8,neighborhood_system(sK6,sK7)) ),
inference(cnf_transformation,[],[f337]) ).
fof(f769,plain,
! [X0] :
( ~ sP5(X0)
| empty_set = sK23(X0) ),
inference(resolution,[],[f616,f574]) ).
fof(f798,plain,
boundary_set(empty_set,sK36),
inference(subsumption_resolution,[],[f796,f667]) ).
fof(f796,plain,
( boundary_set(empty_set,sK36)
| ~ top_str(sK36) ),
inference(superposition,[],[f512,f792]) ).
fof(f792,plain,
empty_set = sK12(sK36),
inference(resolution,[],[f764,f667]) ).
fof(f795,plain,
boundary_set(empty_set,sK6),
inference(subsumption_resolution,[],[f793,f434]) ).
fof(f793,plain,
( boundary_set(empty_set,sK6)
| ~ top_str(sK6) ),
inference(superposition,[],[f512,f791]) ).
fof(f791,plain,
empty_set = sK12(sK6),
inference(resolution,[],[f764,f434]) ).
fof(f764,plain,
! [X0] :
( ~ top_str(X0)
| empty_set = sK12(X0) ),
inference(resolution,[],[f574,f511]) ).
fof(f658,plain,
! [X0,X1] : relation_of2_as_subset(sK34(X0,X1),X0,X1),
inference(cnf_transformation,[],[f396]) ).
fof(f396,plain,
! [X0,X1] : relation_of2_as_subset(sK34(X0,X1),X0,X1),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK34])],[f50,f395]) ).
fof(f395,plain,
! [X0,X1] :
( ? [X2] : relation_of2_as_subset(X2,X0,X1)
=> relation_of2_as_subset(sK34(X0,X1),X0,X1) ),
introduced(choice_axiom,[]) ).
fof(f50,axiom,
! [X0,X1] :
? [X2] : relation_of2_as_subset(X2,X0,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',existence_m2_relset_1) ).
fof(f657,plain,
! [X0,X1] : relation_of2(sK33(X0,X1),X0,X1),
inference(cnf_transformation,[],[f394]) ).
fof(f394,plain,
! [X0,X1] : relation_of2(sK33(X0,X1),X0,X1),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK33])],[f48,f393]) ).
fof(f393,plain,
! [X0,X1] :
( ? [X2] : relation_of2(X2,X0,X1)
=> relation_of2(sK33(X0,X1),X0,X1) ),
introduced(choice_axiom,[]) ).
fof(f48,axiom,
! [X0,X1] :
? [X2] : relation_of2(X2,X0,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',existence_m1_relset_1) ).
fof(f641,plain,
! [X0,X1] :
( element(X0,X1)
| ~ in(X0,X1) ),
inference(cnf_transformation,[],[f296]) ).
fof(f296,plain,
! [X0,X1] :
( element(X0,X1)
| ~ in(X0,X1) ),
inference(ennf_transformation,[],[f110]) ).
fof(f110,axiom,
! [X0,X1] :
( in(X0,X1)
=> element(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t1_subset) ).
fof(f640,plain,
! [X0,X1] :
( ~ in(X1,X0)
| ~ in(X0,X1) ),
inference(cnf_transformation,[],[f295]) ).
fof(f295,plain,
! [X0,X1] :
( ~ in(X1,X0)
| ~ in(X0,X1) ),
inference(ennf_transformation,[],[f2]) ).
fof(f2,axiom,
! [X0,X1] :
( in(X0,X1)
=> ~ in(X1,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',antisymmetry_r2_hidden) ).
fof(f636,plain,
! [X0] : element(sK30(X0),powerset(powerset(X0))),
inference(cnf_transformation,[],[f387]) ).
fof(f387,plain,
! [X0] :
( finite(sK30(X0))
& ~ empty(sK30(X0))
& element(sK30(X0),powerset(powerset(X0))) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK30])],[f91,f386]) ).
fof(f386,plain,
! [X0] :
( ? [X1] :
( finite(X1)
& ~ empty(X1)
& element(X1,powerset(powerset(X0))) )
=> ( finite(sK30(X0))
& ~ empty(sK30(X0))
& element(sK30(X0),powerset(powerset(X0))) ) ),
introduced(choice_axiom,[]) ).
fof(f91,axiom,
! [X0] :
? [X1] :
( finite(X1)
& ~ empty(X1)
& element(X1,powerset(powerset(X0))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc2_waybel_7) ).
fof(f621,plain,
! [X0] :
( sP5(X0)
| ~ top_str(X0)
| ~ topological_space(X0) ),
inference(cnf_transformation,[],[f332]) ).
fof(f332,plain,
! [X0] :
( sP5(X0)
| ~ top_str(X0)
| ~ topological_space(X0) ),
inference(definition_folding,[],[f282,f331]) ).
fof(f282,plain,
! [X0] :
( ? [X1] :
( nowhere_dense(X1,X0)
& boundary_set(X1,X0)
& closed_subset(X1,X0)
& open_subset(X1,X0)
& empty(X1)
& element(X1,powerset(the_carrier(X0))) )
| ~ top_str(X0)
| ~ topological_space(X0) ),
inference(flattening,[],[f281]) ).
fof(f281,plain,
! [X0] :
( ? [X1] :
( nowhere_dense(X1,X0)
& boundary_set(X1,X0)
& closed_subset(X1,X0)
& open_subset(X1,X0)
& empty(X1)
& element(X1,powerset(the_carrier(X0))) )
| ~ top_str(X0)
| ~ topological_space(X0) ),
inference(ennf_transformation,[],[f178]) ).
fof(f178,plain,
! [X0] :
( ( top_str(X0)
& topological_space(X0) )
=> ? [X1] :
( nowhere_dense(X1,X0)
& boundary_set(X1,X0)
& closed_subset(X1,X0)
& open_subset(X1,X0)
& empty(X1)
& element(X1,powerset(the_carrier(X0))) ) ),
inference(pure_predicate_removal,[],[f176]) ).
fof(f176,plain,
! [X0] :
( ( top_str(X0)
& topological_space(X0) )
=> ? [X1] :
( nowhere_dense(X1,X0)
& boundary_set(X1,X0)
& v1_membered(X1)
& closed_subset(X1,X0)
& open_subset(X1,X0)
& empty(X1)
& element(X1,powerset(the_carrier(X0))) ) ),
inference(pure_predicate_removal,[],[f172]) ).
fof(f172,plain,
! [X0] :
( ( top_str(X0)
& topological_space(X0) )
=> ? [X1] :
( nowhere_dense(X1,X0)
& boundary_set(X1,X0)
& v2_membered(X1)
& v1_membered(X1)
& closed_subset(X1,X0)
& open_subset(X1,X0)
& empty(X1)
& element(X1,powerset(the_carrier(X0))) ) ),
inference(pure_predicate_removal,[],[f170]) ).
fof(f170,plain,
! [X0] :
( ( top_str(X0)
& topological_space(X0) )
=> ? [X1] :
( nowhere_dense(X1,X0)
& boundary_set(X1,X0)
& v3_membered(X1)
& v2_membered(X1)
& v1_membered(X1)
& closed_subset(X1,X0)
& open_subset(X1,X0)
& empty(X1)
& element(X1,powerset(the_carrier(X0))) ) ),
inference(pure_predicate_removal,[],[f168]) ).
fof(f168,plain,
! [X0] :
( ( top_str(X0)
& topological_space(X0) )
=> ? [X1] :
( nowhere_dense(X1,X0)
& boundary_set(X1,X0)
& v4_membered(X1)
& v3_membered(X1)
& v2_membered(X1)
& v1_membered(X1)
& closed_subset(X1,X0)
& open_subset(X1,X0)
& empty(X1)
& element(X1,powerset(the_carrier(X0))) ) ),
inference(pure_predicate_removal,[],[f102]) ).
fof(f102,axiom,
! [X0] :
( ( top_str(X0)
& topological_space(X0) )
=> ? [X1] :
( nowhere_dense(X1,X0)
& boundary_set(X1,X0)
& v5_membered(X1)
& v4_membered(X1)
& v3_membered(X1)
& v2_membered(X1)
& v1_membered(X1)
& closed_subset(X1,X0)
& open_subset(X1,X0)
& empty(X1)
& element(X1,powerset(the_carrier(X0))) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc5_tops_1) ).
fof(f620,plain,
! [X0] :
( nowhere_dense(sK23(X0),X0)
| ~ sP5(X0) ),
inference(cnf_transformation,[],[f373]) ).
fof(f619,plain,
! [X0] :
( boundary_set(sK23(X0),X0)
| ~ sP5(X0) ),
inference(cnf_transformation,[],[f373]) ).
fof(f618,plain,
! [X0] :
( closed_subset(sK23(X0),X0)
| ~ sP5(X0) ),
inference(cnf_transformation,[],[f373]) ).
fof(f617,plain,
! [X0] :
( open_subset(sK23(X0),X0)
| ~ sP5(X0) ),
inference(cnf_transformation,[],[f373]) ).
fof(f610,plain,
! [X0,X1] :
( ~ sP4(X0,X1)
| boundary_set(X1,X0) ),
inference(cnf_transformation,[],[f370]) ).
fof(f370,plain,
! [X0,X1] :
( ( nowhere_dense(X1,X0)
& boundary_set(X1,X0)
& closed_subset(X1,X0)
& open_subset(X1,X0)
& empty(X1) )
| ~ sP4(X0,X1) ),
inference(nnf_transformation,[],[f329]) ).
fof(f609,plain,
! [X0,X1] :
( ~ sP4(X0,X1)
| closed_subset(X1,X0) ),
inference(cnf_transformation,[],[f370]) ).
fof(f524,plain,
! [X0] :
( ~ with_suprema_relstr(X0)
| ~ empty_carrier(X0)
| ~ rel_str(X0) ),
inference(cnf_transformation,[],[f212]) ).
fof(f212,plain,
! [X0] :
( ~ empty_carrier(X0)
| ~ with_suprema_relstr(X0)
| ~ rel_str(X0) ),
inference(flattening,[],[f211]) ).
fof(f211,plain,
! [X0] :
( ~ empty_carrier(X0)
| ~ with_suprema_relstr(X0)
| ~ rel_str(X0) ),
inference(ennf_transformation,[],[f9]) ).
fof(f9,axiom,
! [X0] :
( rel_str(X0)
=> ( with_suprema_relstr(X0)
=> ~ empty_carrier(X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc1_lattice3) ).
fof(f522,plain,
! [X0] :
( ~ with_infima_relstr(X0)
| ~ empty_carrier(X0)
| ~ rel_str(X0) ),
inference(cnf_transformation,[],[f208]) ).
fof(f208,plain,
! [X0] :
( ~ empty_carrier(X0)
| ~ with_infima_relstr(X0)
| ~ rel_str(X0) ),
inference(flattening,[],[f207]) ).
fof(f207,plain,
! [X0] :
( ~ empty_carrier(X0)
| ~ with_infima_relstr(X0)
| ~ rel_str(X0) ),
inference(ennf_transformation,[],[f15]) ).
fof(f15,axiom,
! [X0] :
( rel_str(X0)
=> ( with_infima_relstr(X0)
=> ~ empty_carrier(X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc2_lattice3) ).
fof(f521,plain,
! [X0] :
( ~ bounded_relstr(X0)
| upper_bounded_relstr(X0)
| ~ rel_str(X0) ),
inference(cnf_transformation,[],[f206]) ).
fof(f206,plain,
! [X0] :
( ( upper_bounded_relstr(X0)
& lower_bounded_relstr(X0) )
| ~ bounded_relstr(X0)
| ~ rel_str(X0) ),
inference(flattening,[],[f205]) ).
fof(f205,plain,
! [X0] :
( ( upper_bounded_relstr(X0)
& lower_bounded_relstr(X0) )
| ~ bounded_relstr(X0)
| ~ rel_str(X0) ),
inference(ennf_transformation,[],[f21]) ).
fof(f21,axiom,
! [X0] :
( rel_str(X0)
=> ( bounded_relstr(X0)
=> ( upper_bounded_relstr(X0)
& lower_bounded_relstr(X0) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc4_yellow_0) ).
fof(f520,plain,
! [X0] :
( ~ bounded_relstr(X0)
| lower_bounded_relstr(X0)
| ~ rel_str(X0) ),
inference(cnf_transformation,[],[f206]) ).
fof(f512,plain,
! [X0] :
( boundary_set(sK12(X0),X0)
| ~ top_str(X0) ),
inference(cnf_transformation,[],[f346]) ).
fof(f656,plain,
! [X0,X1] :
( ~ in(X0,X1)
| ~ empty(X1) ),
inference(cnf_transformation,[],[f314]) ).
fof(f314,plain,
! [X0,X1] :
( ~ empty(X1)
| ~ in(X0,X1) ),
inference(ennf_transformation,[],[f119]) ).
fof(f119,axiom,
! [X0,X1] :
~ ( empty(X1)
& in(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t7_boole) ).
fof(f770,plain,
! [X0] : element(empty_set,powerset(X0)),
inference(forward_demodulation,[],[f634,f765]) ).
fof(f616,plain,
! [X0] :
( empty(sK23(X0))
| ~ sP5(X0) ),
inference(cnf_transformation,[],[f373]) ).
fof(f607,plain,
! [X0,X1] :
( ~ sP4(X0,X1)
| empty(X1) ),
inference(cnf_transformation,[],[f370]) ).
fof(f765,plain,
! [X0] : empty_set = sK29(X0),
inference(resolution,[],[f574,f635]) ).
fof(f766,plain,
empty_set = sK50,
inference(resolution,[],[f574,f747]) ).
fof(f574,plain,
! [X0] :
( ~ empty(X0)
| empty_set = X0 ),
inference(cnf_transformation,[],[f238]) ).
fof(f238,plain,
! [X0] :
( empty_set = X0
| ~ empty(X0) ),
inference(ennf_transformation,[],[f118]) ).
fof(f118,axiom,
! [X0] :
( empty(X0)
=> empty_set = X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t6_boole) ).
fof(f516,plain,
! [X0] :
( finite(sK13(X0))
| ~ one_sorted_str(X0) ),
inference(cnf_transformation,[],[f348]) ).
fof(f515,plain,
! [X0] :
( ~ empty(sK13(X0))
| ~ one_sorted_str(X0) ),
inference(cnf_transformation,[],[f348]) ).
fof(f511,plain,
! [X0] :
( empty(sK12(X0))
| ~ top_str(X0) ),
inference(cnf_transformation,[],[f346]) ).
fof(f507,plain,
! [X0] :
( finite(sK11(X0))
| empty(X0) ),
inference(cnf_transformation,[],[f344]) ).
fof(f506,plain,
! [X0] :
( ~ empty(sK11(X0))
| empty(X0) ),
inference(cnf_transformation,[],[f344]) ).
fof(f504,plain,
! [X0] :
( finite(sK10(X0))
| empty(X0) ),
inference(cnf_transformation,[],[f342]) ).
fof(f503,plain,
! [X0] :
( ~ empty(sK10(X0))
| empty(X0) ),
inference(cnf_transformation,[],[f342]) ).
fof(f501,plain,
! [X0] :
( ~ empty(sK9(X0))
| empty(X0) ),
inference(cnf_transformation,[],[f340]) ).
fof(f486,plain,
! [X0] :
( ~ trivial_carrier(boole_POSet(X0))
| ~ sP0(X0) ),
inference(cnf_transformation,[],[f338]) ).
fof(f338,plain,
! [X0] :
( ( complete_relstr(boole_POSet(X0))
& with_infima_relstr(boole_POSet(X0))
& with_suprema_relstr(boole_POSet(X0))
& join_complete_relstr(boole_POSet(X0))
& up_complete_relstr(boole_POSet(X0))
& bounded_relstr(boole_POSet(X0))
& upper_bounded_relstr(boole_POSet(X0))
& lower_bounded_relstr(boole_POSet(X0))
& antisymmetric_relstr(boole_POSet(X0))
& transitive_relstr(boole_POSet(X0))
& reflexive_relstr(boole_POSet(X0))
& strict_rel_str(boole_POSet(X0))
& ~ trivial_carrier(boole_POSet(X0))
& ~ empty_carrier(boole_POSet(X0)) )
| ~ sP0(X0) ),
inference(nnf_transformation,[],[f321]) ).
fof(f321,plain,
! [X0] :
( ( complete_relstr(boole_POSet(X0))
& with_infima_relstr(boole_POSet(X0))
& with_suprema_relstr(boole_POSet(X0))
& join_complete_relstr(boole_POSet(X0))
& up_complete_relstr(boole_POSet(X0))
& bounded_relstr(boole_POSet(X0))
& upper_bounded_relstr(boole_POSet(X0))
& lower_bounded_relstr(boole_POSet(X0))
& antisymmetric_relstr(boole_POSet(X0))
& transitive_relstr(boole_POSet(X0))
& reflexive_relstr(boole_POSet(X0))
& strict_rel_str(boole_POSet(X0))
& ~ trivial_carrier(boole_POSet(X0))
& ~ empty_carrier(boole_POSet(X0)) )
| ~ sP0(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
fof(f633,plain,
! [X0] : element(sK28(X0),X0),
inference(cnf_transformation,[],[f383]) ).
fof(f383,plain,
! [X0] : element(sK28(X0),X0),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK28])],[f49,f382]) ).
fof(f382,plain,
! [X0] :
( ? [X1] : element(X1,X0)
=> element(sK28(X0),X0) ),
introduced(choice_axiom,[]) ).
fof(f49,axiom,
! [X0] :
? [X1] : element(X1,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',existence_m1_subset_1) ).
fof(f573,plain,
! [X0] :
( finite(X0)
| ~ empty(X0) ),
inference(cnf_transformation,[],[f237]) ).
fof(f237,plain,
! [X0] :
( finite(X0)
| ~ empty(X0) ),
inference(ennf_transformation,[],[f8]) ).
fof(f8,axiom,
! [X0] :
( empty(X0)
=> finite(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc1_finset_1) ).
fof(f563,plain,
! [X0] :
( ~ sP3(X0)
| with_suprema_relstr(X0) ),
inference(cnf_transformation,[],[f351]) ).
fof(f351,plain,
! [X0] :
( ( upper_bounded_relstr(X0)
& with_suprema_relstr(X0)
& antisymmetric_relstr(X0)
& reflexive_relstr(X0)
& ~ empty_carrier(X0) )
| ~ sP3(X0) ),
inference(nnf_transformation,[],[f327]) ).
fof(f554,plain,
! [X0] :
( ~ sP2(X0)
| bounded_relstr(X0) ),
inference(cnf_transformation,[],[f350]) ).
fof(f350,plain,
! [X0] :
( ( bounded_relstr(X0)
& upper_bounded_relstr(X0)
& lower_bounded_relstr(X0)
& complete_relstr(X0)
& with_infima_relstr(X0)
& with_suprema_relstr(X0)
& antisymmetric_relstr(X0)
& transitive_relstr(X0)
& reflexive_relstr(X0)
& ~ empty_carrier(X0) )
| ~ sP2(X0) ),
inference(nnf_transformation,[],[f325]) ).
fof(f325,plain,
! [X0] :
( ( bounded_relstr(X0)
& upper_bounded_relstr(X0)
& lower_bounded_relstr(X0)
& complete_relstr(X0)
& with_infima_relstr(X0)
& with_suprema_relstr(X0)
& antisymmetric_relstr(X0)
& transitive_relstr(X0)
& reflexive_relstr(X0)
& ~ empty_carrier(X0) )
| ~ sP2(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP2])]) ).
fof(f553,plain,
! [X0] :
( ~ sP2(X0)
| upper_bounded_relstr(X0) ),
inference(cnf_transformation,[],[f350]) ).
fof(f551,plain,
! [X0] :
( ~ sP2(X0)
| complete_relstr(X0) ),
inference(cnf_transformation,[],[f350]) ).
fof(f550,plain,
! [X0] :
( ~ sP2(X0)
| with_infima_relstr(X0) ),
inference(cnf_transformation,[],[f350]) ).
fof(f536,plain,
! [X0] :
( ~ sP1(X0)
| complete_relstr(X0) ),
inference(cnf_transformation,[],[f349]) ).
fof(f349,plain,
! [X0] :
( ( complete_relstr(X0)
& antisymmetric_relstr(X0)
& transitive_relstr(X0)
& reflexive_relstr(X0)
& ~ empty_carrier(X0) )
| ~ sP1(X0) ),
inference(nnf_transformation,[],[f323]) ).
fof(f535,plain,
! [X0] :
( ~ sP1(X0)
| antisymmetric_relstr(X0) ),
inference(cnf_transformation,[],[f349]) ).
fof(f534,plain,
! [X0] :
( ~ sP1(X0)
| transitive_relstr(X0) ),
inference(cnf_transformation,[],[f349]) ).
fof(f518,plain,
! [X0] :
( one_sorted_str(X0)
| ~ rel_str(X0) ),
inference(cnf_transformation,[],[f203]) ).
fof(f203,plain,
! [X0] :
( one_sorted_str(X0)
| ~ rel_str(X0) ),
inference(ennf_transformation,[],[f35]) ).
fof(f35,axiom,
! [X0] :
( rel_str(X0)
=> one_sorted_str(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_l1_orders_2) ).
fof(f508,plain,
! [X0] :
( one_sorted_str(X0)
| ~ top_str(X0) ),
inference(cnf_transformation,[],[f196]) ).
fof(f196,plain,
! [X0] :
( one_sorted_str(X0)
| ~ top_str(X0) ),
inference(ennf_transformation,[],[f36]) ).
fof(f36,axiom,
! [X0] :
( top_str(X0)
=> one_sorted_str(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_l1_pre_topc) ).
fof(f499,plain,
! [X0] :
( sP0(X0)
| empty(X0) ),
inference(cnf_transformation,[],[f322]) ).
fof(f322,plain,
! [X0] :
( sP0(X0)
| empty(X0) ),
inference(definition_folding,[],[f192,f321]) ).
fof(f192,plain,
! [X0] :
( ( complete_relstr(boole_POSet(X0))
& with_infima_relstr(boole_POSet(X0))
& with_suprema_relstr(boole_POSet(X0))
& join_complete_relstr(boole_POSet(X0))
& up_complete_relstr(boole_POSet(X0))
& bounded_relstr(boole_POSet(X0))
& upper_bounded_relstr(boole_POSet(X0))
& lower_bounded_relstr(boole_POSet(X0))
& antisymmetric_relstr(boole_POSet(X0))
& transitive_relstr(boole_POSet(X0))
& reflexive_relstr(boole_POSet(X0))
& strict_rel_str(boole_POSet(X0))
& ~ trivial_carrier(boole_POSet(X0))
& ~ empty_carrier(boole_POSet(X0)) )
| empty(X0) ),
inference(ennf_transformation,[],[f152]) ).
fof(f152,plain,
! [X0] :
( ~ empty(X0)
=> ( complete_relstr(boole_POSet(X0))
& with_infima_relstr(boole_POSet(X0))
& with_suprema_relstr(boole_POSet(X0))
& join_complete_relstr(boole_POSet(X0))
& up_complete_relstr(boole_POSet(X0))
& bounded_relstr(boole_POSet(X0))
& upper_bounded_relstr(boole_POSet(X0))
& lower_bounded_relstr(boole_POSet(X0))
& antisymmetric_relstr(boole_POSet(X0))
& transitive_relstr(boole_POSet(X0))
& reflexive_relstr(boole_POSet(X0))
& strict_rel_str(boole_POSet(X0))
& ~ trivial_carrier(boole_POSet(X0))
& ~ empty_carrier(boole_POSet(X0)) ) ),
inference(pure_predicate_removal,[],[f149]) ).
fof(f149,plain,
! [X0] :
( ~ empty(X0)
=> ( complete_relstr(boole_POSet(X0))
& with_infima_relstr(boole_POSet(X0))
& with_suprema_relstr(boole_POSet(X0))
& ~ v1_yellow_3(boole_POSet(X0))
& join_complete_relstr(boole_POSet(X0))
& up_complete_relstr(boole_POSet(X0))
& bounded_relstr(boole_POSet(X0))
& upper_bounded_relstr(boole_POSet(X0))
& lower_bounded_relstr(boole_POSet(X0))
& antisymmetric_relstr(boole_POSet(X0))
& transitive_relstr(boole_POSet(X0))
& reflexive_relstr(boole_POSet(X0))
& strict_rel_str(boole_POSet(X0))
& ~ trivial_carrier(boole_POSet(X0))
& ~ empty_carrier(boole_POSet(X0)) ) ),
inference(pure_predicate_removal,[],[f144]) ).
fof(f144,plain,
! [X0] :
( ~ empty(X0)
=> ( complete_relstr(boole_POSet(X0))
& with_infima_relstr(boole_POSet(X0))
& with_suprema_relstr(boole_POSet(X0))
& distributive_relstr(boole_POSet(X0))
& ~ v1_yellow_3(boole_POSet(X0))
& join_complete_relstr(boole_POSet(X0))
& up_complete_relstr(boole_POSet(X0))
& bounded_relstr(boole_POSet(X0))
& upper_bounded_relstr(boole_POSet(X0))
& lower_bounded_relstr(boole_POSet(X0))
& antisymmetric_relstr(boole_POSet(X0))
& transitive_relstr(boole_POSet(X0))
& reflexive_relstr(boole_POSet(X0))
& strict_rel_str(boole_POSet(X0))
& ~ trivial_carrier(boole_POSet(X0))
& ~ empty_carrier(boole_POSet(X0)) ) ),
inference(pure_predicate_removal,[],[f142]) ).
fof(f142,plain,
! [X0] :
( ~ empty(X0)
=> ( complete_relstr(boole_POSet(X0))
& with_infima_relstr(boole_POSet(X0))
& with_suprema_relstr(boole_POSet(X0))
& heyting_relstr(boole_POSet(X0))
& distributive_relstr(boole_POSet(X0))
& ~ v1_yellow_3(boole_POSet(X0))
& join_complete_relstr(boole_POSet(X0))
& up_complete_relstr(boole_POSet(X0))
& bounded_relstr(boole_POSet(X0))
& upper_bounded_relstr(boole_POSet(X0))
& lower_bounded_relstr(boole_POSet(X0))
& antisymmetric_relstr(boole_POSet(X0))
& transitive_relstr(boole_POSet(X0))
& reflexive_relstr(boole_POSet(X0))
& strict_rel_str(boole_POSet(X0))
& ~ trivial_carrier(boole_POSet(X0))
& ~ empty_carrier(boole_POSet(X0)) ) ),
inference(pure_predicate_removal,[],[f138]) ).
fof(f138,plain,
! [X0] :
( ~ empty(X0)
=> ( complete_relstr(boole_POSet(X0))
& with_infima_relstr(boole_POSet(X0))
& with_suprema_relstr(boole_POSet(X0))
& complemented_relstr(boole_POSet(X0))
& heyting_relstr(boole_POSet(X0))
& distributive_relstr(boole_POSet(X0))
& ~ v1_yellow_3(boole_POSet(X0))
& join_complete_relstr(boole_POSet(X0))
& up_complete_relstr(boole_POSet(X0))
& bounded_relstr(boole_POSet(X0))
& upper_bounded_relstr(boole_POSet(X0))
& lower_bounded_relstr(boole_POSet(X0))
& antisymmetric_relstr(boole_POSet(X0))
& transitive_relstr(boole_POSet(X0))
& reflexive_relstr(boole_POSet(X0))
& strict_rel_str(boole_POSet(X0))
& ~ trivial_carrier(boole_POSet(X0))
& ~ empty_carrier(boole_POSet(X0)) ) ),
inference(pure_predicate_removal,[],[f59]) ).
fof(f59,axiom,
! [X0] :
( ~ empty(X0)
=> ( complete_relstr(boole_POSet(X0))
& with_infima_relstr(boole_POSet(X0))
& with_suprema_relstr(boole_POSet(X0))
& boolean_relstr(boole_POSet(X0))
& complemented_relstr(boole_POSet(X0))
& heyting_relstr(boole_POSet(X0))
& distributive_relstr(boole_POSet(X0))
& ~ v1_yellow_3(boole_POSet(X0))
& join_complete_relstr(boole_POSet(X0))
& up_complete_relstr(boole_POSet(X0))
& bounded_relstr(boole_POSet(X0))
& upper_bounded_relstr(boole_POSet(X0))
& lower_bounded_relstr(boole_POSet(X0))
& antisymmetric_relstr(boole_POSet(X0))
& transitive_relstr(boole_POSet(X0))
& reflexive_relstr(boole_POSet(X0))
& strict_rel_str(boole_POSet(X0))
& ~ trivial_carrier(boole_POSet(X0))
& ~ empty_carrier(boole_POSet(X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc2_waybel_7) ).
fof(f639,plain,
! [X0] : subset(X0,X0),
inference(cnf_transformation,[],[f121]) ).
fof(f121,plain,
! [X0] : subset(X0,X0),
inference(rectify,[],[f109]) ).
fof(f109,axiom,
! [X0,X1] : subset(X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',reflexivity_r1_tarski) ).
fof(f638,plain,
! [X0] : finite(sK30(X0)),
inference(cnf_transformation,[],[f387]) ).
fof(f637,plain,
! [X0] : ~ empty(sK30(X0)),
inference(cnf_transformation,[],[f387]) ).
fof(f635,plain,
! [X0] : empty(sK29(X0)),
inference(cnf_transformation,[],[f385]) ).
fof(f385,plain,
! [X0] :
( empty(sK29(X0))
& element(sK29(X0),powerset(X0)) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK29])],[f88,f384]) ).
fof(f384,plain,
! [X0] :
( ? [X1] :
( empty(X1)
& element(X1,powerset(X0)) )
=> ( empty(sK29(X0))
& element(sK29(X0),powerset(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f88,axiom,
! [X0] :
? [X1] :
( empty(X1)
& element(X1,powerset(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc2_subset_1) ).
fof(f484,plain,
! [X0] : rel_str(boole_POSet(X0)),
inference(cnf_transformation,[],[f34]) ).
fof(f34,axiom,
! [X0] :
( rel_str(boole_POSet(X0))
& strict_rel_str(boole_POSet(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k3_yellow_1) ).
fof(f458,plain,
! [X0] : complete_relstr(boole_POSet(X0)),
inference(cnf_transformation,[],[f151]) ).
fof(f151,plain,
! [X0] :
( complete_relstr(boole_POSet(X0))
& with_infima_relstr(boole_POSet(X0))
& with_suprema_relstr(boole_POSet(X0))
& join_complete_relstr(boole_POSet(X0))
& up_complete_relstr(boole_POSet(X0))
& bounded_relstr(boole_POSet(X0))
& upper_bounded_relstr(boole_POSet(X0))
& lower_bounded_relstr(boole_POSet(X0))
& antisymmetric_relstr(boole_POSet(X0))
& transitive_relstr(boole_POSet(X0))
& reflexive_relstr(boole_POSet(X0))
& strict_rel_str(boole_POSet(X0))
& ~ empty_carrier(boole_POSet(X0)) ),
inference(pure_predicate_removal,[],[f124]) ).
fof(f124,plain,
! [X0] :
( complete_relstr(boole_POSet(X0))
& with_infima_relstr(boole_POSet(X0))
& with_suprema_relstr(boole_POSet(X0))
& ~ v1_yellow_3(boole_POSet(X0))
& join_complete_relstr(boole_POSet(X0))
& up_complete_relstr(boole_POSet(X0))
& bounded_relstr(boole_POSet(X0))
& upper_bounded_relstr(boole_POSet(X0))
& lower_bounded_relstr(boole_POSet(X0))
& antisymmetric_relstr(boole_POSet(X0))
& transitive_relstr(boole_POSet(X0))
& reflexive_relstr(boole_POSet(X0))
& strict_rel_str(boole_POSet(X0))
& ~ empty_carrier(boole_POSet(X0)) ),
inference(pure_predicate_removal,[],[f70]) ).
fof(f70,axiom,
! [X0] :
( complete_relstr(boole_POSet(X0))
& with_infima_relstr(boole_POSet(X0))
& with_suprema_relstr(boole_POSet(X0))
& ~ v1_yellow_3(boole_POSet(X0))
& join_complete_relstr(boole_POSet(X0))
& up_complete_relstr(boole_POSet(X0))
& directed_relstr(boole_POSet(X0))
& bounded_relstr(boole_POSet(X0))
& upper_bounded_relstr(boole_POSet(X0))
& lower_bounded_relstr(boole_POSet(X0))
& antisymmetric_relstr(boole_POSet(X0))
& transitive_relstr(boole_POSet(X0))
& reflexive_relstr(boole_POSet(X0))
& strict_rel_str(boole_POSet(X0))
& ~ empty_carrier(boole_POSet(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc8_yellow_6) ).
fof(f457,plain,
! [X0] : with_infima_relstr(boole_POSet(X0)),
inference(cnf_transformation,[],[f151]) ).
fof(f456,plain,
! [X0] : with_suprema_relstr(boole_POSet(X0)),
inference(cnf_transformation,[],[f151]) ).
fof(f455,plain,
! [X0] : join_complete_relstr(boole_POSet(X0)),
inference(cnf_transformation,[],[f151]) ).
fof(f454,plain,
! [X0] : up_complete_relstr(boole_POSet(X0)),
inference(cnf_transformation,[],[f151]) ).
fof(f453,plain,
! [X0] : bounded_relstr(boole_POSet(X0)),
inference(cnf_transformation,[],[f151]) ).
fof(f452,plain,
! [X0] : upper_bounded_relstr(boole_POSet(X0)),
inference(cnf_transformation,[],[f151]) ).
fof(f451,plain,
! [X0] : lower_bounded_relstr(boole_POSet(X0)),
inference(cnf_transformation,[],[f151]) ).
fof(f445,plain,
! [X0] : antisymmetric_relstr(boole_POSet(X0)),
inference(cnf_transformation,[],[f67]) ).
fof(f67,axiom,
! [X0] :
( antisymmetric_relstr(boole_POSet(X0))
& transitive_relstr(boole_POSet(X0))
& reflexive_relstr(boole_POSet(X0))
& strict_rel_str(boole_POSet(X0))
& ~ empty_carrier(boole_POSet(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc7_yellow_1) ).
fof(f444,plain,
! [X0] : transitive_relstr(boole_POSet(X0)),
inference(cnf_transformation,[],[f67]) ).
fof(f443,plain,
! [X0] : reflexive_relstr(boole_POSet(X0)),
inference(cnf_transformation,[],[f67]) ).
fof(f442,plain,
! [X0] : strict_rel_str(boole_POSet(X0)),
inference(cnf_transformation,[],[f67]) ).
fof(f441,plain,
! [X0] : ~ empty_carrier(boole_POSet(X0)),
inference(cnf_transformation,[],[f67]) ).
fof(f440,plain,
! [X0] : ~ empty(powerset(X0)),
inference(cnf_transformation,[],[f55]) ).
fof(f55,axiom,
! [X0] : ~ empty(powerset(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc1_subset_1) ).
fof(f747,plain,
empty(sK50),
inference(cnf_transformation,[],[f431]) ).
fof(f431,plain,
empty(sK50),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK50])],[f185,f430]) ).
fof(f430,plain,
( ? [X0] : empty(X0)
=> empty(sK50) ),
introduced(choice_axiom,[]) ).
fof(f185,plain,
? [X0] : empty(X0),
inference(pure_predicate_removal,[],[f80]) ).
fof(f80,axiom,
? [X0] :
( relation(X0)
& empty(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc1_relat_1) ).
fof(f746,plain,
bounded_relstr(sK49),
inference(cnf_transformation,[],[f429]) ).
fof(f429,plain,
( bounded_relstr(sK49)
& upper_bounded_relstr(sK49)
& lower_bounded_relstr(sK49)
& complete_relstr(sK49)
& with_infima_relstr(sK49)
& with_suprema_relstr(sK49)
& antisymmetric_relstr(sK49)
& transitive_relstr(sK49)
& reflexive_relstr(sK49)
& ~ empty_carrier(sK49)
& rel_str(sK49) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK49])],[f92,f428]) ).
fof(f428,plain,
( ? [X0] :
( bounded_relstr(X0)
& upper_bounded_relstr(X0)
& lower_bounded_relstr(X0)
& complete_relstr(X0)
& with_infima_relstr(X0)
& with_suprema_relstr(X0)
& antisymmetric_relstr(X0)
& transitive_relstr(X0)
& reflexive_relstr(X0)
& ~ empty_carrier(X0)
& rel_str(X0) )
=> ( bounded_relstr(sK49)
& upper_bounded_relstr(sK49)
& lower_bounded_relstr(sK49)
& complete_relstr(sK49)
& with_infima_relstr(sK49)
& with_suprema_relstr(sK49)
& antisymmetric_relstr(sK49)
& transitive_relstr(sK49)
& reflexive_relstr(sK49)
& ~ empty_carrier(sK49)
& rel_str(sK49) ) ),
introduced(choice_axiom,[]) ).
fof(f92,axiom,
? [X0] :
( bounded_relstr(X0)
& upper_bounded_relstr(X0)
& lower_bounded_relstr(X0)
& complete_relstr(X0)
& with_infima_relstr(X0)
& with_suprema_relstr(X0)
& antisymmetric_relstr(X0)
& transitive_relstr(X0)
& reflexive_relstr(X0)
& ~ empty_carrier(X0)
& rel_str(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc2_yellow_0) ).
fof(f745,plain,
upper_bounded_relstr(sK49),
inference(cnf_transformation,[],[f429]) ).
fof(f744,plain,
lower_bounded_relstr(sK49),
inference(cnf_transformation,[],[f429]) ).
fof(f743,plain,
complete_relstr(sK49),
inference(cnf_transformation,[],[f429]) ).
fof(f742,plain,
with_infima_relstr(sK49),
inference(cnf_transformation,[],[f429]) ).
fof(f741,plain,
with_suprema_relstr(sK49),
inference(cnf_transformation,[],[f429]) ).
fof(f740,plain,
antisymmetric_relstr(sK49),
inference(cnf_transformation,[],[f429]) ).
fof(f739,plain,
transitive_relstr(sK49),
inference(cnf_transformation,[],[f429]) ).
fof(f738,plain,
reflexive_relstr(sK49),
inference(cnf_transformation,[],[f429]) ).
fof(f737,plain,
~ empty_carrier(sK49),
inference(cnf_transformation,[],[f429]) ).
fof(f736,plain,
rel_str(sK49),
inference(cnf_transformation,[],[f429]) ).
fof(f735,plain,
antisymmetric_relstr(sK48),
inference(cnf_transformation,[],[f427]) ).
fof(f427,plain,
( antisymmetric_relstr(sK48)
& transitive_relstr(sK48)
& reflexive_relstr(sK48)
& ~ empty_carrier(sK48)
& rel_str(sK48) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK48])],[f181,f426]) ).
fof(f426,plain,
( ? [X0] :
( antisymmetric_relstr(X0)
& transitive_relstr(X0)
& reflexive_relstr(X0)
& ~ empty_carrier(X0)
& rel_str(X0) )
=> ( antisymmetric_relstr(sK48)
& transitive_relstr(sK48)
& reflexive_relstr(sK48)
& ~ empty_carrier(sK48)
& rel_str(sK48) ) ),
introduced(choice_axiom,[]) ).
fof(f181,plain,
? [X0] :
( antisymmetric_relstr(X0)
& transitive_relstr(X0)
& reflexive_relstr(X0)
& ~ empty_carrier(X0)
& rel_str(X0) ),
inference(pure_predicate_removal,[],[f76]) ).
fof(f76,axiom,
? [X0] :
( connected_relstr(X0)
& antisymmetric_relstr(X0)
& transitive_relstr(X0)
& reflexive_relstr(X0)
& ~ empty_carrier(X0)
& rel_str(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc12_waybel_0) ).
fof(f734,plain,
transitive_relstr(sK48),
inference(cnf_transformation,[],[f427]) ).
fof(f733,plain,
reflexive_relstr(sK48),
inference(cnf_transformation,[],[f427]) ).
fof(f732,plain,
~ empty_carrier(sK48),
inference(cnf_transformation,[],[f427]) ).
fof(f731,plain,
rel_str(sK48),
inference(cnf_transformation,[],[f427]) ).
fof(f730,plain,
join_complete_relstr(sK47),
inference(cnf_transformation,[],[f425]) ).
fof(f425,plain,
( join_complete_relstr(sK47)
& up_complete_relstr(sK47)
& bounded_relstr(sK47)
& upper_bounded_relstr(sK47)
& lower_bounded_relstr(sK47)
& complete_relstr(sK47)
& with_infima_relstr(sK47)
& with_suprema_relstr(sK47)
& antisymmetric_relstr(sK47)
& transitive_relstr(sK47)
& reflexive_relstr(sK47)
& strict_rel_str(sK47)
& ~ empty_carrier(sK47)
& rel_str(sK47) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK47])],[f77,f424]) ).
fof(f424,plain,
( ? [X0] :
( join_complete_relstr(X0)
& up_complete_relstr(X0)
& bounded_relstr(X0)
& upper_bounded_relstr(X0)
& lower_bounded_relstr(X0)
& complete_relstr(X0)
& with_infima_relstr(X0)
& with_suprema_relstr(X0)
& antisymmetric_relstr(X0)
& transitive_relstr(X0)
& reflexive_relstr(X0)
& strict_rel_str(X0)
& ~ empty_carrier(X0)
& rel_str(X0) )
=> ( join_complete_relstr(sK47)
& up_complete_relstr(sK47)
& bounded_relstr(sK47)
& upper_bounded_relstr(sK47)
& lower_bounded_relstr(sK47)
& complete_relstr(sK47)
& with_infima_relstr(sK47)
& with_suprema_relstr(sK47)
& antisymmetric_relstr(sK47)
& transitive_relstr(sK47)
& reflexive_relstr(sK47)
& strict_rel_str(sK47)
& ~ empty_carrier(sK47)
& rel_str(sK47) ) ),
introduced(choice_axiom,[]) ).
fof(f77,axiom,
? [X0] :
( join_complete_relstr(X0)
& up_complete_relstr(X0)
& bounded_relstr(X0)
& upper_bounded_relstr(X0)
& lower_bounded_relstr(X0)
& complete_relstr(X0)
& with_infima_relstr(X0)
& with_suprema_relstr(X0)
& antisymmetric_relstr(X0)
& transitive_relstr(X0)
& reflexive_relstr(X0)
& strict_rel_str(X0)
& ~ empty_carrier(X0)
& rel_str(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc13_waybel_0) ).
fof(f729,plain,
up_complete_relstr(sK47),
inference(cnf_transformation,[],[f425]) ).
fof(f728,plain,
bounded_relstr(sK47),
inference(cnf_transformation,[],[f425]) ).
fof(f727,plain,
upper_bounded_relstr(sK47),
inference(cnf_transformation,[],[f425]) ).
fof(f726,plain,
lower_bounded_relstr(sK47),
inference(cnf_transformation,[],[f425]) ).
fof(f725,plain,
complete_relstr(sK47),
inference(cnf_transformation,[],[f425]) ).
fof(f724,plain,
with_infima_relstr(sK47),
inference(cnf_transformation,[],[f425]) ).
fof(f723,plain,
with_suprema_relstr(sK47),
inference(cnf_transformation,[],[f425]) ).
fof(f722,plain,
antisymmetric_relstr(sK47),
inference(cnf_transformation,[],[f425]) ).
fof(f721,plain,
transitive_relstr(sK47),
inference(cnf_transformation,[],[f425]) ).
fof(f720,plain,
reflexive_relstr(sK47),
inference(cnf_transformation,[],[f425]) ).
fof(f719,plain,
strict_rel_str(sK47),
inference(cnf_transformation,[],[f425]) ).
fof(f718,plain,
~ empty_carrier(sK47),
inference(cnf_transformation,[],[f425]) ).
fof(f717,plain,
rel_str(sK47),
inference(cnf_transformation,[],[f425]) ).
fof(f716,plain,
trivial_carrier(sK46),
inference(cnf_transformation,[],[f423]) ).
fof(f423,plain,
( trivial_carrier(sK46)
& complete_relstr(sK46)
& with_infima_relstr(sK46)
& with_suprema_relstr(sK46)
& antisymmetric_relstr(sK46)
& transitive_relstr(sK46)
& reflexive_relstr(sK46)
& strict_rel_str(sK46)
& ~ empty_carrier(sK46)
& rel_str(sK46) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK46])],[f85,f422]) ).
fof(f422,plain,
( ? [X0] :
( trivial_carrier(X0)
& complete_relstr(X0)
& with_infima_relstr(X0)
& with_suprema_relstr(X0)
& antisymmetric_relstr(X0)
& transitive_relstr(X0)
& reflexive_relstr(X0)
& strict_rel_str(X0)
& ~ empty_carrier(X0)
& rel_str(X0) )
=> ( trivial_carrier(sK46)
& complete_relstr(sK46)
& with_infima_relstr(sK46)
& with_suprema_relstr(sK46)
& antisymmetric_relstr(sK46)
& transitive_relstr(sK46)
& reflexive_relstr(sK46)
& strict_rel_str(sK46)
& ~ empty_carrier(sK46)
& rel_str(sK46) ) ),
introduced(choice_axiom,[]) ).
fof(f85,axiom,
? [X0] :
( trivial_carrier(X0)
& complete_relstr(X0)
& with_infima_relstr(X0)
& with_suprema_relstr(X0)
& antisymmetric_relstr(X0)
& transitive_relstr(X0)
& reflexive_relstr(X0)
& strict_rel_str(X0)
& ~ empty_carrier(X0)
& rel_str(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc1_yellow_0) ).
fof(f715,plain,
complete_relstr(sK46),
inference(cnf_transformation,[],[f423]) ).
fof(f714,plain,
with_infima_relstr(sK46),
inference(cnf_transformation,[],[f423]) ).
fof(f713,plain,
with_suprema_relstr(sK46),
inference(cnf_transformation,[],[f423]) ).
fof(f712,plain,
antisymmetric_relstr(sK46),
inference(cnf_transformation,[],[f423]) ).
fof(f711,plain,
transitive_relstr(sK46),
inference(cnf_transformation,[],[f423]) ).
fof(f710,plain,
reflexive_relstr(sK46),
inference(cnf_transformation,[],[f423]) ).
fof(f709,plain,
strict_rel_str(sK46),
inference(cnf_transformation,[],[f423]) ).
fof(f708,plain,
~ empty_carrier(sK46),
inference(cnf_transformation,[],[f423]) ).
fof(f707,plain,
rel_str(sK46),
inference(cnf_transformation,[],[f423]) ).
fof(f706,plain,
complete_relstr(sK45),
inference(cnf_transformation,[],[f421]) ).
fof(f421,plain,
( complete_relstr(sK45)
& with_infima_relstr(sK45)
& with_suprema_relstr(sK45)
& antisymmetric_relstr(sK45)
& transitive_relstr(sK45)
& reflexive_relstr(sK45)
& strict_rel_str(sK45)
& ~ empty_carrier(sK45)
& rel_str(sK45) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK45])],[f86,f420]) ).
fof(f420,plain,
( ? [X0] :
( complete_relstr(X0)
& with_infima_relstr(X0)
& with_suprema_relstr(X0)
& antisymmetric_relstr(X0)
& transitive_relstr(X0)
& reflexive_relstr(X0)
& strict_rel_str(X0)
& ~ empty_carrier(X0)
& rel_str(X0) )
=> ( complete_relstr(sK45)
& with_infima_relstr(sK45)
& with_suprema_relstr(sK45)
& antisymmetric_relstr(sK45)
& transitive_relstr(sK45)
& reflexive_relstr(sK45)
& strict_rel_str(sK45)
& ~ empty_carrier(sK45)
& rel_str(sK45) ) ),
introduced(choice_axiom,[]) ).
fof(f86,axiom,
? [X0] :
( complete_relstr(X0)
& with_infima_relstr(X0)
& with_suprema_relstr(X0)
& antisymmetric_relstr(X0)
& transitive_relstr(X0)
& reflexive_relstr(X0)
& strict_rel_str(X0)
& ~ empty_carrier(X0)
& rel_str(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc2_lattice3) ).
fof(f705,plain,
with_infima_relstr(sK45),
inference(cnf_transformation,[],[f421]) ).
fof(f704,plain,
with_suprema_relstr(sK45),
inference(cnf_transformation,[],[f421]) ).
fof(f703,plain,
antisymmetric_relstr(sK45),
inference(cnf_transformation,[],[f421]) ).
fof(f702,plain,
transitive_relstr(sK45),
inference(cnf_transformation,[],[f421]) ).
fof(f701,plain,
reflexive_relstr(sK45),
inference(cnf_transformation,[],[f421]) ).
fof(f700,plain,
strict_rel_str(sK45),
inference(cnf_transformation,[],[f421]) ).
fof(f699,plain,
~ empty_carrier(sK45),
inference(cnf_transformation,[],[f421]) ).
fof(f698,plain,
rel_str(sK45),
inference(cnf_transformation,[],[f421]) ).
fof(f697,plain,
complete_relstr(sK44),
inference(cnf_transformation,[],[f419]) ).
fof(f419,plain,
( complete_relstr(sK44)
& antisymmetric_relstr(sK44)
& transitive_relstr(sK44)
& reflexive_relstr(sK44)
& strict_rel_str(sK44)
& ~ empty_carrier(sK44)
& rel_str(sK44) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK44])],[f79,f418]) ).
fof(f418,plain,
( ? [X0] :
( complete_relstr(X0)
& antisymmetric_relstr(X0)
& transitive_relstr(X0)
& reflexive_relstr(X0)
& strict_rel_str(X0)
& ~ empty_carrier(X0)
& rel_str(X0) )
=> ( complete_relstr(sK44)
& antisymmetric_relstr(sK44)
& transitive_relstr(sK44)
& reflexive_relstr(sK44)
& strict_rel_str(sK44)
& ~ empty_carrier(sK44)
& rel_str(sK44) ) ),
introduced(choice_axiom,[]) ).
fof(f79,axiom,
? [X0] :
( complete_relstr(X0)
& antisymmetric_relstr(X0)
& transitive_relstr(X0)
& reflexive_relstr(X0)
& strict_rel_str(X0)
& ~ empty_carrier(X0)
& rel_str(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc1_lattice3) ).
fof(f696,plain,
antisymmetric_relstr(sK44),
inference(cnf_transformation,[],[f419]) ).
fof(f695,plain,
transitive_relstr(sK44),
inference(cnf_transformation,[],[f419]) ).
fof(f694,plain,
reflexive_relstr(sK44),
inference(cnf_transformation,[],[f419]) ).
fof(f693,plain,
strict_rel_str(sK44),
inference(cnf_transformation,[],[f419]) ).
fof(f692,plain,
~ empty_carrier(sK44),
inference(cnf_transformation,[],[f419]) ).
fof(f691,plain,
rel_str(sK44),
inference(cnf_transformation,[],[f419]) ).
fof(f690,plain,
transitive_relstr(sK43),
inference(cnf_transformation,[],[f417]) ).
fof(f417,plain,
( transitive_relstr(sK43)
& strict_rel_str(sK43)
& ~ empty_carrier(sK43)
& rel_str(sK43) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK43])],[f125,f416]) ).
fof(f416,plain,
( ? [X0] :
( transitive_relstr(X0)
& strict_rel_str(X0)
& ~ empty_carrier(X0)
& rel_str(X0) )
=> ( transitive_relstr(sK43)
& strict_rel_str(sK43)
& ~ empty_carrier(sK43)
& rel_str(sK43) ) ),
introduced(choice_axiom,[]) ).
fof(f125,plain,
? [X0] :
( transitive_relstr(X0)
& strict_rel_str(X0)
& ~ empty_carrier(X0)
& rel_str(X0) ),
inference(pure_predicate_removal,[],[f100]) ).
fof(f100,axiom,
? [X0] :
( directed_relstr(X0)
& transitive_relstr(X0)
& strict_rel_str(X0)
& ~ empty_carrier(X0)
& rel_str(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc4_yellow_6) ).
fof(f689,plain,
strict_rel_str(sK43),
inference(cnf_transformation,[],[f417]) ).
fof(f688,plain,
~ empty_carrier(sK43),
inference(cnf_transformation,[],[f417]) ).
fof(f687,plain,
rel_str(sK43),
inference(cnf_transformation,[],[f417]) ).
fof(f686,plain,
with_infima_relstr(sK42),
inference(cnf_transformation,[],[f415]) ).
fof(f415,plain,
( with_infima_relstr(sK42)
& with_suprema_relstr(sK42)
& bounded_relstr(sK42)
& upper_bounded_relstr(sK42)
& lower_bounded_relstr(sK42)
& antisymmetric_relstr(sK42)
& transitive_relstr(sK42)
& reflexive_relstr(sK42)
& strict_rel_str(sK42)
& ~ trivial_carrier(sK42)
& ~ empty_carrier(sK42)
& rel_str(sK42) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK42])],[f150,f414]) ).
fof(f414,plain,
( ? [X0] :
( with_infima_relstr(X0)
& with_suprema_relstr(X0)
& bounded_relstr(X0)
& upper_bounded_relstr(X0)
& lower_bounded_relstr(X0)
& antisymmetric_relstr(X0)
& transitive_relstr(X0)
& reflexive_relstr(X0)
& strict_rel_str(X0)
& ~ trivial_carrier(X0)
& ~ empty_carrier(X0)
& rel_str(X0) )
=> ( with_infima_relstr(sK42)
& with_suprema_relstr(sK42)
& bounded_relstr(sK42)
& upper_bounded_relstr(sK42)
& lower_bounded_relstr(sK42)
& antisymmetric_relstr(sK42)
& transitive_relstr(sK42)
& reflexive_relstr(sK42)
& strict_rel_str(sK42)
& ~ trivial_carrier(sK42)
& ~ empty_carrier(sK42)
& rel_str(sK42) ) ),
introduced(choice_axiom,[]) ).
fof(f150,plain,
? [X0] :
( with_infima_relstr(X0)
& with_suprema_relstr(X0)
& bounded_relstr(X0)
& upper_bounded_relstr(X0)
& lower_bounded_relstr(X0)
& antisymmetric_relstr(X0)
& transitive_relstr(X0)
& reflexive_relstr(X0)
& strict_rel_str(X0)
& ~ trivial_carrier(X0)
& ~ empty_carrier(X0)
& rel_str(X0) ),
inference(pure_predicate_removal,[],[f148]) ).
fof(f148,plain,
? [X0] :
( with_infima_relstr(X0)
& with_suprema_relstr(X0)
& ~ v1_yellow_3(X0)
& bounded_relstr(X0)
& upper_bounded_relstr(X0)
& lower_bounded_relstr(X0)
& antisymmetric_relstr(X0)
& transitive_relstr(X0)
& reflexive_relstr(X0)
& strict_rel_str(X0)
& ~ trivial_carrier(X0)
& ~ empty_carrier(X0)
& rel_str(X0) ),
inference(pure_predicate_removal,[],[f146]) ).
fof(f146,plain,
? [X0] :
( with_infima_relstr(X0)
& with_suprema_relstr(X0)
& distributive_relstr(X0)
& ~ v1_yellow_3(X0)
& bounded_relstr(X0)
& upper_bounded_relstr(X0)
& lower_bounded_relstr(X0)
& antisymmetric_relstr(X0)
& transitive_relstr(X0)
& reflexive_relstr(X0)
& strict_rel_str(X0)
& ~ trivial_carrier(X0)
& ~ empty_carrier(X0)
& rel_str(X0) ),
inference(pure_predicate_removal,[],[f141]) ).
fof(f141,plain,
? [X0] :
( with_infima_relstr(X0)
& with_suprema_relstr(X0)
& heyting_relstr(X0)
& distributive_relstr(X0)
& ~ v1_yellow_3(X0)
& bounded_relstr(X0)
& upper_bounded_relstr(X0)
& lower_bounded_relstr(X0)
& antisymmetric_relstr(X0)
& transitive_relstr(X0)
& reflexive_relstr(X0)
& strict_rel_str(X0)
& ~ trivial_carrier(X0)
& ~ empty_carrier(X0)
& rel_str(X0) ),
inference(pure_predicate_removal,[],[f140]) ).
fof(f140,plain,
? [X0] :
( with_infima_relstr(X0)
& with_suprema_relstr(X0)
& complemented_relstr(X0)
& heyting_relstr(X0)
& distributive_relstr(X0)
& ~ v1_yellow_3(X0)
& bounded_relstr(X0)
& upper_bounded_relstr(X0)
& lower_bounded_relstr(X0)
& antisymmetric_relstr(X0)
& transitive_relstr(X0)
& reflexive_relstr(X0)
& strict_rel_str(X0)
& ~ trivial_carrier(X0)
& ~ empty_carrier(X0)
& rel_str(X0) ),
inference(pure_predicate_removal,[],[f84]) ).
fof(f84,axiom,
? [X0] :
( with_infima_relstr(X0)
& with_suprema_relstr(X0)
& boolean_relstr(X0)
& complemented_relstr(X0)
& heyting_relstr(X0)
& distributive_relstr(X0)
& ~ v1_yellow_3(X0)
& bounded_relstr(X0)
& upper_bounded_relstr(X0)
& lower_bounded_relstr(X0)
& antisymmetric_relstr(X0)
& transitive_relstr(X0)
& reflexive_relstr(X0)
& strict_rel_str(X0)
& ~ trivial_carrier(X0)
& ~ empty_carrier(X0)
& rel_str(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc1_waybel_7) ).
fof(f685,plain,
with_suprema_relstr(sK42),
inference(cnf_transformation,[],[f415]) ).
fof(f684,plain,
bounded_relstr(sK42),
inference(cnf_transformation,[],[f415]) ).
fof(f683,plain,
upper_bounded_relstr(sK42),
inference(cnf_transformation,[],[f415]) ).
fof(f682,plain,
lower_bounded_relstr(sK42),
inference(cnf_transformation,[],[f415]) ).
fof(f681,plain,
antisymmetric_relstr(sK42),
inference(cnf_transformation,[],[f415]) ).
fof(f680,plain,
transitive_relstr(sK42),
inference(cnf_transformation,[],[f415]) ).
fof(f679,plain,
reflexive_relstr(sK42),
inference(cnf_transformation,[],[f415]) ).
fof(f678,plain,
strict_rel_str(sK42),
inference(cnf_transformation,[],[f415]) ).
fof(f677,plain,
~ trivial_carrier(sK42),
inference(cnf_transformation,[],[f415]) ).
fof(f676,plain,
~ empty_carrier(sK42),
inference(cnf_transformation,[],[f415]) ).
fof(f675,plain,
rel_str(sK42),
inference(cnf_transformation,[],[f415]) ).
fof(f674,plain,
~ empty_carrier(sK41),
inference(cnf_transformation,[],[f413]) ).
fof(f413,plain,
( ~ empty_carrier(sK41)
& one_sorted_str(sK41) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK41])],[f95,f412]) ).
fof(f412,plain,
( ? [X0] :
( ~ empty_carrier(X0)
& one_sorted_str(X0) )
=> ( ~ empty_carrier(sK41)
& one_sorted_str(sK41) ) ),
introduced(choice_axiom,[]) ).
fof(f95,axiom,
? [X0] :
( ~ empty_carrier(X0)
& one_sorted_str(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc3_struct_0) ).
fof(f673,plain,
one_sorted_str(sK41),
inference(cnf_transformation,[],[f413]) ).
fof(f672,plain,
finite(sK40),
inference(cnf_transformation,[],[f411]) ).
fof(f411,plain,
( finite(sK40)
& ~ empty(sK40) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK40])],[f78,f410]) ).
fof(f410,plain,
( ? [X0] :
( finite(X0)
& ~ empty(X0) )
=> ( finite(sK40)
& ~ empty(sK40) ) ),
introduced(choice_axiom,[]) ).
fof(f78,axiom,
? [X0] :
( finite(X0)
& ~ empty(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc1_finset_1) ).
fof(f671,plain,
~ empty(sK40),
inference(cnf_transformation,[],[f411]) ).
fof(f670,plain,
~ empty(sK39),
inference(cnf_transformation,[],[f409]) ).
fof(f409,plain,
~ empty(sK39),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK39])],[f187,f408]) ).
fof(f408,plain,
( ? [X0] : ~ empty(X0)
=> ~ empty(sK39) ),
introduced(choice_axiom,[]) ).
fof(f187,plain,
? [X0] : ~ empty(X0),
inference(pure_predicate_removal,[],[f87]) ).
fof(f87,axiom,
? [X0] :
( relation(X0)
& ~ empty(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc2_relat_1) ).
fof(f669,plain,
rel_str(sK38),
inference(cnf_transformation,[],[f407]) ).
fof(f407,plain,
rel_str(sK38),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK38])],[f44,f406]) ).
fof(f406,plain,
( ? [X0] : rel_str(X0)
=> rel_str(sK38) ),
introduced(choice_axiom,[]) ).
fof(f44,axiom,
? [X0] : rel_str(X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',existence_l1_orders_2) ).
fof(f668,plain,
one_sorted_str(sK37),
inference(cnf_transformation,[],[f405]) ).
fof(f405,plain,
one_sorted_str(sK37),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK37])],[f46,f404]) ).
fof(f404,plain,
( ? [X0] : one_sorted_str(X0)
=> one_sorted_str(sK37) ),
introduced(choice_axiom,[]) ).
fof(f46,axiom,
? [X0] : one_sorted_str(X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',existence_l1_struct_0) ).
fof(f667,plain,
top_str(sK36),
inference(cnf_transformation,[],[f403]) ).
fof(f403,plain,
top_str(sK36),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK36])],[f45,f402]) ).
fof(f402,plain,
( ? [X0] : top_str(X0)
=> top_str(sK36) ),
introduced(choice_axiom,[]) ).
fof(f45,axiom,
? [X0] : top_str(X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',existence_l1_pre_topc) ).
fof(f438,plain,
empty(empty_set),
inference(cnf_transformation,[],[f186]) ).
fof(f186,plain,
empty(empty_set),
inference(pure_predicate_removal,[],[f62]) ).
fof(f62,axiom,
( relation(empty_set)
& empty(empty_set) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc4_relat_1) ).
fof(f634,plain,
! [X0] : element(sK29(X0),powerset(X0)),
inference(cnf_transformation,[],[f385]) ).
fof(f602,plain,
! [X0] :
( closed_subset(cast_as_carrier_subset(X0),X0)
| ~ top_str(X0)
| ~ topological_space(X0) ),
inference(cnf_transformation,[],[f270]) ).
fof(f590,plain,
! [X0] :
( ~ empty(cast_as_carrier_subset(X0))
| ~ rel_str(X0)
| empty_carrier(X0) ),
inference(cnf_transformation,[],[f258]) ).
fof(f258,plain,
! [X0] :
( ~ empty(cast_as_carrier_subset(X0))
| ~ rel_str(X0)
| empty_carrier(X0) ),
inference(flattening,[],[f257]) ).
fof(f257,plain,
! [X0] :
( ~ empty(cast_as_carrier_subset(X0))
| ~ rel_str(X0)
| empty_carrier(X0) ),
inference(ennf_transformation,[],[f161]) ).
fof(f161,plain,
! [X0] :
( ( rel_str(X0)
& ~ empty_carrier(X0) )
=> ~ empty(cast_as_carrier_subset(X0)) ),
inference(pure_predicate_removal,[],[f156]) ).
fof(f156,plain,
! [X0] :
( ( rel_str(X0)
& ~ empty_carrier(X0) )
=> ( lower_relstr_subset(cast_as_carrier_subset(X0),X0)
& ~ empty(cast_as_carrier_subset(X0)) ) ),
inference(pure_predicate_removal,[],[f53]) ).
fof(f53,axiom,
! [X0] :
( ( rel_str(X0)
& ~ empty_carrier(X0) )
=> ( upper_relstr_subset(cast_as_carrier_subset(X0),X0)
& lower_relstr_subset(cast_as_carrier_subset(X0),X0)
& ~ empty(cast_as_carrier_subset(X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc15_waybel_0) ).
fof(f588,plain,
! [X0] :
( ~ empty(cast_as_carrier_subset(X0))
| ~ rel_str(X0)
| ~ upper_bounded_relstr(X0)
| empty_carrier(X0) ),
inference(cnf_transformation,[],[f254]) ).
fof(f254,plain,
! [X0] :
( ~ empty(cast_as_carrier_subset(X0))
| ~ rel_str(X0)
| ~ upper_bounded_relstr(X0)
| empty_carrier(X0) ),
inference(flattening,[],[f253]) ).
fof(f253,plain,
! [X0] :
( ~ empty(cast_as_carrier_subset(X0))
| ~ rel_str(X0)
| ~ upper_bounded_relstr(X0)
| empty_carrier(X0) ),
inference(ennf_transformation,[],[f137]) ).
fof(f137,plain,
! [X0] :
( ( rel_str(X0)
& upper_bounded_relstr(X0)
& ~ empty_carrier(X0) )
=> ~ empty(cast_as_carrier_subset(X0)) ),
inference(pure_predicate_removal,[],[f61]) ).
fof(f61,axiom,
! [X0] :
( ( rel_str(X0)
& upper_bounded_relstr(X0)
& ~ empty_carrier(X0) )
=> ( directed_subset(cast_as_carrier_subset(X0),X0)
& ~ empty(cast_as_carrier_subset(X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc3_waybel_0) ).
fof(f587,plain,
! [X0] :
( ~ empty(cast_as_carrier_subset(X0))
| ~ rel_str(X0)
| ~ lower_bounded_relstr(X0)
| empty_carrier(X0) ),
inference(cnf_transformation,[],[f252]) ).
fof(f252,plain,
! [X0] :
( ~ empty(cast_as_carrier_subset(X0))
| ~ rel_str(X0)
| ~ lower_bounded_relstr(X0)
| empty_carrier(X0) ),
inference(flattening,[],[f251]) ).
fof(f251,plain,
! [X0] :
( ~ empty(cast_as_carrier_subset(X0))
| ~ rel_str(X0)
| ~ lower_bounded_relstr(X0)
| empty_carrier(X0) ),
inference(ennf_transformation,[],[f128]) ).
fof(f128,plain,
! [X0] :
( ( rel_str(X0)
& lower_bounded_relstr(X0)
& ~ empty_carrier(X0) )
=> ~ empty(cast_as_carrier_subset(X0)) ),
inference(pure_predicate_removal,[],[f66]) ).
fof(f66,axiom,
! [X0] :
( ( rel_str(X0)
& lower_bounded_relstr(X0)
& ~ empty_carrier(X0) )
=> ( filtered_subset(cast_as_carrier_subset(X0),X0)
& ~ empty(cast_as_carrier_subset(X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc5_waybel_0) ).
fof(f762,plain,
! [X0] :
( ~ empty_carrier(X0)
| ~ with_suprema_relstr(X0)
| ~ rel_str(X0) ),
inference(global_subsumption,[],[f437,f436,f435,f434,f433,f432,f438,f439,f440,f445,f444,f443,f442,f441,f458,f457,f456,f455,f454,f453,f452,f451,f450,f449,f448,f447,f446,f471,f470,f469,f468,f467,f466,f465,f464,f463,f462,f461,f460,f459,f482,f481,f480,f479,f478,f477,f476,f475,f474,f473,f472,f484,f483,f498,f749,f497,f750,f496,f751,f495,f752,f494,f753,f493,f754,f492,f755,f491,f756,f490,f757,f489,f758,f488,f759,f487,f760,f486,f485,f761,f499,f501,f500,f504,f503,f502,f507,f506,f505,f508,f509,f512,f511,f510,f513,f516,f515,f514,f517,f518,f519,f521,f520,f522,f523,f524,f526,f529,f528,f536,f535,f534,f537,f540,f544,f543,f554,f553,f551,f550,f555,f559,f563,f565,f570,f567]) ).
fof(f567,plain,
! [X0] :
( ~ empty_carrier(X0)
| ~ up_complete_relstr(X0)
| ~ with_suprema_relstr(X0)
| ~ reflexive_relstr(X0)
| ~ rel_str(X0) ),
inference(cnf_transformation,[],[f234]) ).
fof(f555,plain,
! [X0] :
( sP2(X0)
| ~ up_complete_relstr(X0)
| ~ lower_bounded_relstr(X0)
| ~ with_suprema_relstr(X0)
| ~ antisymmetric_relstr(X0)
| ~ transitive_relstr(X0)
| ~ reflexive_relstr(X0)
| empty_carrier(X0)
| ~ rel_str(X0) ),
inference(cnf_transformation,[],[f326]) ).
fof(f326,plain,
! [X0] :
( sP2(X0)
| ~ up_complete_relstr(X0)
| ~ lower_bounded_relstr(X0)
| ~ with_suprema_relstr(X0)
| ~ antisymmetric_relstr(X0)
| ~ transitive_relstr(X0)
| ~ reflexive_relstr(X0)
| empty_carrier(X0)
| ~ rel_str(X0) ),
inference(definition_folding,[],[f226,f325]) ).
fof(f226,plain,
! [X0] :
( ( bounded_relstr(X0)
& upper_bounded_relstr(X0)
& lower_bounded_relstr(X0)
& complete_relstr(X0)
& with_infima_relstr(X0)
& with_suprema_relstr(X0)
& antisymmetric_relstr(X0)
& transitive_relstr(X0)
& reflexive_relstr(X0)
& ~ empty_carrier(X0) )
| ~ up_complete_relstr(X0)
| ~ lower_bounded_relstr(X0)
| ~ with_suprema_relstr(X0)
| ~ antisymmetric_relstr(X0)
| ~ transitive_relstr(X0)
| ~ reflexive_relstr(X0)
| empty_carrier(X0)
| ~ rel_str(X0) ),
inference(flattening,[],[f225]) ).
fof(f225,plain,
! [X0] :
( ( bounded_relstr(X0)
& upper_bounded_relstr(X0)
& lower_bounded_relstr(X0)
& complete_relstr(X0)
& with_infima_relstr(X0)
& with_suprema_relstr(X0)
& antisymmetric_relstr(X0)
& transitive_relstr(X0)
& reflexive_relstr(X0)
& ~ empty_carrier(X0) )
| ~ up_complete_relstr(X0)
| ~ lower_bounded_relstr(X0)
| ~ with_suprema_relstr(X0)
| ~ antisymmetric_relstr(X0)
| ~ transitive_relstr(X0)
| ~ reflexive_relstr(X0)
| empty_carrier(X0)
| ~ rel_str(X0) ),
inference(ennf_transformation,[],[f5]) ).
fof(f5,axiom,
! [X0] :
( rel_str(X0)
=> ( ( up_complete_relstr(X0)
& lower_bounded_relstr(X0)
& with_suprema_relstr(X0)
& antisymmetric_relstr(X0)
& transitive_relstr(X0)
& reflexive_relstr(X0)
& ~ empty_carrier(X0) )
=> ( bounded_relstr(X0)
& upper_bounded_relstr(X0)
& lower_bounded_relstr(X0)
& complete_relstr(X0)
& with_infima_relstr(X0)
& with_suprema_relstr(X0)
& antisymmetric_relstr(X0)
& transitive_relstr(X0)
& reflexive_relstr(X0)
& ~ empty_carrier(X0) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc12_waybel_0) ).
fof(f761,plain,
! [X0] : ~ empty_carrier(boole_POSet(X0)),
inference(global_subsumption,[],[f437,f436,f435,f434,f433,f432,f438,f439,f440,f445,f444,f443,f442,f441,f458,f457,f456,f455,f454,f453,f452,f451,f450,f449,f448,f447,f446,f471,f470,f469,f468,f467,f466,f465,f464,f463,f462,f461,f460,f459,f482,f481,f480,f479,f478,f477,f476,f475,f474,f473,f472,f484,f483,f498,f749,f497,f750,f496,f751,f495,f752,f494,f753,f493,f754,f492,f755,f491,f756,f490,f757,f489,f758,f488,f759,f487,f760,f486,f485]) ).
fof(f485,plain,
! [X0] :
( ~ empty_carrier(boole_POSet(X0))
| ~ sP0(X0) ),
inference(cnf_transformation,[],[f338]) ).
fof(f760,plain,
! [X0] : strict_rel_str(boole_POSet(X0)),
inference(global_subsumption,[],[f437,f436,f435,f434,f433,f432,f438,f439,f440,f445,f444,f443,f442,f441,f458,f457,f456,f455,f454,f453,f452,f451,f450,f449,f448,f447,f446,f471,f470,f469,f468,f467,f466,f465,f464,f463,f462,f461,f460,f459,f482,f481,f480,f479,f478,f477,f476,f475,f474,f473,f472,f484,f483,f498,f749,f497,f750,f496,f751,f495,f752,f494,f753,f493,f754,f492,f755,f491,f756,f490,f757,f489,f758,f488,f759,f487]) ).
fof(f487,plain,
! [X0] :
( strict_rel_str(boole_POSet(X0))
| ~ sP0(X0) ),
inference(cnf_transformation,[],[f338]) ).
fof(f759,plain,
! [X0] : reflexive_relstr(boole_POSet(X0)),
inference(global_subsumption,[],[f437,f436,f435,f434,f433,f432,f438,f439,f440,f445,f444,f443,f442,f441,f458,f457,f456,f455,f454,f453,f452,f451,f450,f449,f448,f447,f446,f471,f470,f469,f468,f467,f466,f465,f464,f463,f462,f461,f460,f459,f482,f481,f480,f479,f478,f477,f476,f475,f474,f473,f472,f484,f483,f498,f749,f497,f750,f496,f751,f495,f752,f494,f753,f493,f754,f492,f755,f491,f756,f490,f757,f489,f758,f488]) ).
fof(f488,plain,
! [X0] :
( reflexive_relstr(boole_POSet(X0))
| ~ sP0(X0) ),
inference(cnf_transformation,[],[f338]) ).
fof(f758,plain,
! [X0] : transitive_relstr(boole_POSet(X0)),
inference(global_subsumption,[],[f437,f436,f435,f434,f433,f432,f438,f439,f440,f445,f444,f443,f442,f441,f458,f457,f456,f455,f454,f453,f452,f451,f450,f449,f448,f447,f446,f471,f470,f469,f468,f467,f466,f465,f464,f463,f462,f461,f460,f459,f482,f481,f480,f479,f478,f477,f476,f475,f474,f473,f472,f484,f483,f498,f749,f497,f750,f496,f751,f495,f752,f494,f753,f493,f754,f492,f755,f491,f756,f490,f757,f489]) ).
fof(f489,plain,
! [X0] :
( transitive_relstr(boole_POSet(X0))
| ~ sP0(X0) ),
inference(cnf_transformation,[],[f338]) ).
fof(f757,plain,
! [X0] : antisymmetric_relstr(boole_POSet(X0)),
inference(global_subsumption,[],[f437,f436,f435,f434,f433,f432,f438,f439,f440,f445,f444,f443,f442,f441,f458,f457,f456,f455,f454,f453,f452,f451,f450,f449,f448,f447,f446,f471,f470,f469,f468,f467,f466,f465,f464,f463,f462,f461,f460,f459,f482,f481,f480,f479,f478,f477,f476,f475,f474,f473,f472,f484,f483,f498,f749,f497,f750,f496,f751,f495,f752,f494,f753,f493,f754,f492,f755,f491,f756,f490]) ).
fof(f490,plain,
! [X0] :
( antisymmetric_relstr(boole_POSet(X0))
| ~ sP0(X0) ),
inference(cnf_transformation,[],[f338]) ).
fof(f756,plain,
! [X0] : lower_bounded_relstr(boole_POSet(X0)),
inference(global_subsumption,[],[f437,f436,f435,f434,f433,f432,f438,f439,f440,f445,f444,f443,f442,f441,f458,f457,f456,f455,f454,f453,f452,f451,f450,f449,f448,f447,f446,f471,f470,f469,f468,f467,f466,f465,f464,f463,f462,f461,f460,f459,f482,f481,f480,f479,f478,f477,f476,f475,f474,f473,f472,f484,f483,f498,f749,f497,f750,f496,f751,f495,f752,f494,f753,f493,f754,f492,f755,f491]) ).
fof(f491,plain,
! [X0] :
( lower_bounded_relstr(boole_POSet(X0))
| ~ sP0(X0) ),
inference(cnf_transformation,[],[f338]) ).
fof(f755,plain,
! [X0] : upper_bounded_relstr(boole_POSet(X0)),
inference(global_subsumption,[],[f437,f436,f435,f434,f433,f432,f438,f439,f440,f445,f444,f443,f442,f441,f458,f457,f456,f455,f454,f453,f452,f451,f450,f449,f448,f447,f446,f471,f470,f469,f468,f467,f466,f465,f464,f463,f462,f461,f460,f459,f482,f481,f480,f479,f478,f477,f476,f475,f474,f473,f472,f484,f483,f498,f749,f497,f750,f496,f751,f495,f752,f494,f753,f493,f754,f492]) ).
fof(f492,plain,
! [X0] :
( upper_bounded_relstr(boole_POSet(X0))
| ~ sP0(X0) ),
inference(cnf_transformation,[],[f338]) ).
fof(f754,plain,
! [X0] : bounded_relstr(boole_POSet(X0)),
inference(global_subsumption,[],[f437,f436,f435,f434,f433,f432,f438,f439,f440,f445,f444,f443,f442,f441,f458,f457,f456,f455,f454,f453,f452,f451,f450,f449,f448,f447,f446,f471,f470,f469,f468,f467,f466,f465,f464,f463,f462,f461,f460,f459,f482,f481,f480,f479,f478,f477,f476,f475,f474,f473,f472,f484,f483,f498,f749,f497,f750,f496,f751,f495,f752,f494,f753,f493]) ).
fof(f493,plain,
! [X0] :
( bounded_relstr(boole_POSet(X0))
| ~ sP0(X0) ),
inference(cnf_transformation,[],[f338]) ).
fof(f753,plain,
! [X0] : up_complete_relstr(boole_POSet(X0)),
inference(global_subsumption,[],[f437,f436,f435,f434,f433,f432,f438,f439,f440,f445,f444,f443,f442,f441,f458,f457,f456,f455,f454,f453,f452,f451,f450,f449,f448,f447,f446,f471,f470,f469,f468,f467,f466,f465,f464,f463,f462,f461,f460,f459,f482,f481,f480,f479,f478,f477,f476,f475,f474,f473,f472,f484,f483,f498,f749,f497,f750,f496,f751,f495,f752,f494]) ).
fof(f494,plain,
! [X0] :
( up_complete_relstr(boole_POSet(X0))
| ~ sP0(X0) ),
inference(cnf_transformation,[],[f338]) ).
fof(f752,plain,
! [X0] : join_complete_relstr(boole_POSet(X0)),
inference(global_subsumption,[],[f437,f436,f435,f434,f433,f432,f438,f439,f440,f445,f444,f443,f442,f441,f458,f457,f456,f455,f454,f453,f452,f451,f450,f449,f448,f447,f446,f471,f470,f469,f468,f467,f466,f465,f464,f463,f462,f461,f460,f459,f482,f481,f480,f479,f478,f477,f476,f475,f474,f473,f472,f484,f483,f498,f749,f497,f750,f496,f751,f495]) ).
fof(f495,plain,
! [X0] :
( join_complete_relstr(boole_POSet(X0))
| ~ sP0(X0) ),
inference(cnf_transformation,[],[f338]) ).
fof(f751,plain,
! [X0] : with_suprema_relstr(boole_POSet(X0)),
inference(global_subsumption,[],[f437,f436,f435,f434,f433,f432,f438,f439,f440,f445,f444,f443,f442,f441,f458,f457,f456,f455,f454,f453,f452,f451,f450,f449,f448,f447,f446,f471,f470,f469,f468,f467,f466,f465,f464,f463,f462,f461,f460,f459,f482,f481,f480,f479,f478,f477,f476,f475,f474,f473,f472,f484,f483,f498,f749,f497,f750,f496]) ).
fof(f496,plain,
! [X0] :
( with_suprema_relstr(boole_POSet(X0))
| ~ sP0(X0) ),
inference(cnf_transformation,[],[f338]) ).
fof(f750,plain,
! [X0] : with_infima_relstr(boole_POSet(X0)),
inference(global_subsumption,[],[f437,f436,f435,f434,f433,f432,f438,f439,f440,f445,f444,f443,f442,f441,f458,f457,f456,f455,f454,f453,f452,f451,f450,f449,f448,f447,f446,f471,f470,f469,f468,f467,f466,f465,f464,f463,f462,f461,f460,f459,f482,f481,f480,f479,f478,f477,f476,f475,f474,f473,f472,f484,f483,f498,f749,f497]) ).
fof(f497,plain,
! [X0] :
( with_infima_relstr(boole_POSet(X0))
| ~ sP0(X0) ),
inference(cnf_transformation,[],[f338]) ).
fof(f749,plain,
! [X0] : complete_relstr(boole_POSet(X0)),
inference(global_subsumption,[],[f437,f436,f435,f434,f433,f432,f438,f439,f440,f445,f444,f443,f442,f441,f458,f457,f456,f455,f454,f453,f452,f451,f450,f449,f448,f447,f446,f471,f470,f469,f468,f467,f466,f465,f464,f463,f462,f461,f460,f459,f482,f481,f480,f479,f478,f477,f476,f475,f474,f473,f472,f484,f483,f498]) ).
fof(f498,plain,
! [X0] :
( complete_relstr(boole_POSet(X0))
| ~ sP0(X0) ),
inference(cnf_transformation,[],[f338]) ).
fof(f483,plain,
! [X0] : strict_rel_str(boole_POSet(X0)),
inference(cnf_transformation,[],[f34]) ).
fof(f472,plain,
! [X0] : ~ empty_carrier(boole_POSet(X0)),
inference(cnf_transformation,[],[f69]) ).
fof(f69,axiom,
! [X0] :
( complete_relstr(boole_POSet(X0))
& with_infima_relstr(boole_POSet(X0))
& with_suprema_relstr(boole_POSet(X0))
& bounded_relstr(boole_POSet(X0))
& upper_bounded_relstr(boole_POSet(X0))
& lower_bounded_relstr(boole_POSet(X0))
& antisymmetric_relstr(boole_POSet(X0))
& transitive_relstr(boole_POSet(X0))
& reflexive_relstr(boole_POSet(X0))
& strict_rel_str(boole_POSet(X0))
& ~ empty_carrier(boole_POSet(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc8_yellow_1) ).
fof(f473,plain,
! [X0] : strict_rel_str(boole_POSet(X0)),
inference(cnf_transformation,[],[f69]) ).
fof(f474,plain,
! [X0] : reflexive_relstr(boole_POSet(X0)),
inference(cnf_transformation,[],[f69]) ).
fof(f475,plain,
! [X0] : transitive_relstr(boole_POSet(X0)),
inference(cnf_transformation,[],[f69]) ).
fof(f476,plain,
! [X0] : antisymmetric_relstr(boole_POSet(X0)),
inference(cnf_transformation,[],[f69]) ).
fof(f477,plain,
! [X0] : lower_bounded_relstr(boole_POSet(X0)),
inference(cnf_transformation,[],[f69]) ).
fof(f478,plain,
! [X0] : upper_bounded_relstr(boole_POSet(X0)),
inference(cnf_transformation,[],[f69]) ).
fof(f479,plain,
! [X0] : bounded_relstr(boole_POSet(X0)),
inference(cnf_transformation,[],[f69]) ).
fof(f480,plain,
! [X0] : with_suprema_relstr(boole_POSet(X0)),
inference(cnf_transformation,[],[f69]) ).
fof(f481,plain,
! [X0] : with_infima_relstr(boole_POSet(X0)),
inference(cnf_transformation,[],[f69]) ).
fof(f482,plain,
! [X0] : complete_relstr(boole_POSet(X0)),
inference(cnf_transformation,[],[f69]) ).
fof(f459,plain,
! [X0] : ~ empty_carrier(boole_POSet(X0)),
inference(cnf_transformation,[],[f153]) ).
fof(f153,plain,
! [X0] :
( complete_relstr(boole_POSet(X0))
& with_infima_relstr(boole_POSet(X0))
& with_suprema_relstr(boole_POSet(X0))
& join_complete_relstr(boole_POSet(X0))
& up_complete_relstr(boole_POSet(X0))
& bounded_relstr(boole_POSet(X0))
& upper_bounded_relstr(boole_POSet(X0))
& lower_bounded_relstr(boole_POSet(X0))
& antisymmetric_relstr(boole_POSet(X0))
& transitive_relstr(boole_POSet(X0))
& reflexive_relstr(boole_POSet(X0))
& strict_rel_str(boole_POSet(X0))
& ~ empty_carrier(boole_POSet(X0)) ),
inference(pure_predicate_removal,[],[f147]) ).
fof(f147,plain,
! [X0] :
( complete_relstr(boole_POSet(X0))
& with_infima_relstr(boole_POSet(X0))
& with_suprema_relstr(boole_POSet(X0))
& ~ v1_yellow_3(boole_POSet(X0))
& join_complete_relstr(boole_POSet(X0))
& up_complete_relstr(boole_POSet(X0))
& bounded_relstr(boole_POSet(X0))
& upper_bounded_relstr(boole_POSet(X0))
& lower_bounded_relstr(boole_POSet(X0))
& antisymmetric_relstr(boole_POSet(X0))
& transitive_relstr(boole_POSet(X0))
& reflexive_relstr(boole_POSet(X0))
& strict_rel_str(boole_POSet(X0))
& ~ empty_carrier(boole_POSet(X0)) ),
inference(pure_predicate_removal,[],[f145]) ).
fof(f145,plain,
! [X0] :
( complete_relstr(boole_POSet(X0))
& with_infima_relstr(boole_POSet(X0))
& with_suprema_relstr(boole_POSet(X0))
& distributive_relstr(boole_POSet(X0))
& ~ v1_yellow_3(boole_POSet(X0))
& join_complete_relstr(boole_POSet(X0))
& up_complete_relstr(boole_POSet(X0))
& bounded_relstr(boole_POSet(X0))
& upper_bounded_relstr(boole_POSet(X0))
& lower_bounded_relstr(boole_POSet(X0))
& antisymmetric_relstr(boole_POSet(X0))
& transitive_relstr(boole_POSet(X0))
& reflexive_relstr(boole_POSet(X0))
& strict_rel_str(boole_POSet(X0))
& ~ empty_carrier(boole_POSet(X0)) ),
inference(pure_predicate_removal,[],[f143]) ).
fof(f143,plain,
! [X0] :
( complete_relstr(boole_POSet(X0))
& with_infima_relstr(boole_POSet(X0))
& with_suprema_relstr(boole_POSet(X0))
& heyting_relstr(boole_POSet(X0))
& distributive_relstr(boole_POSet(X0))
& ~ v1_yellow_3(boole_POSet(X0))
& join_complete_relstr(boole_POSet(X0))
& up_complete_relstr(boole_POSet(X0))
& bounded_relstr(boole_POSet(X0))
& upper_bounded_relstr(boole_POSet(X0))
& lower_bounded_relstr(boole_POSet(X0))
& antisymmetric_relstr(boole_POSet(X0))
& transitive_relstr(boole_POSet(X0))
& reflexive_relstr(boole_POSet(X0))
& strict_rel_str(boole_POSet(X0))
& ~ empty_carrier(boole_POSet(X0)) ),
inference(pure_predicate_removal,[],[f139]) ).
fof(f139,plain,
! [X0] :
( complete_relstr(boole_POSet(X0))
& with_infima_relstr(boole_POSet(X0))
& with_suprema_relstr(boole_POSet(X0))
& complemented_relstr(boole_POSet(X0))
& heyting_relstr(boole_POSet(X0))
& distributive_relstr(boole_POSet(X0))
& ~ v1_yellow_3(boole_POSet(X0))
& join_complete_relstr(boole_POSet(X0))
& up_complete_relstr(boole_POSet(X0))
& bounded_relstr(boole_POSet(X0))
& upper_bounded_relstr(boole_POSet(X0))
& lower_bounded_relstr(boole_POSet(X0))
& antisymmetric_relstr(boole_POSet(X0))
& transitive_relstr(boole_POSet(X0))
& reflexive_relstr(boole_POSet(X0))
& strict_rel_str(boole_POSet(X0))
& ~ empty_carrier(boole_POSet(X0)) ),
inference(pure_predicate_removal,[],[f56]) ).
fof(f56,axiom,
! [X0] :
( complete_relstr(boole_POSet(X0))
& with_infima_relstr(boole_POSet(X0))
& with_suprema_relstr(boole_POSet(X0))
& boolean_relstr(boole_POSet(X0))
& complemented_relstr(boole_POSet(X0))
& heyting_relstr(boole_POSet(X0))
& distributive_relstr(boole_POSet(X0))
& ~ v1_yellow_3(boole_POSet(X0))
& join_complete_relstr(boole_POSet(X0))
& up_complete_relstr(boole_POSet(X0))
& bounded_relstr(boole_POSet(X0))
& upper_bounded_relstr(boole_POSet(X0))
& lower_bounded_relstr(boole_POSet(X0))
& antisymmetric_relstr(boole_POSet(X0))
& transitive_relstr(boole_POSet(X0))
& reflexive_relstr(boole_POSet(X0))
& strict_rel_str(boole_POSet(X0))
& ~ empty_carrier(boole_POSet(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc1_waybel_7) ).
fof(f460,plain,
! [X0] : strict_rel_str(boole_POSet(X0)),
inference(cnf_transformation,[],[f153]) ).
fof(f461,plain,
! [X0] : reflexive_relstr(boole_POSet(X0)),
inference(cnf_transformation,[],[f153]) ).
fof(f462,plain,
! [X0] : transitive_relstr(boole_POSet(X0)),
inference(cnf_transformation,[],[f153]) ).
fof(f463,plain,
! [X0] : antisymmetric_relstr(boole_POSet(X0)),
inference(cnf_transformation,[],[f153]) ).
fof(f464,plain,
! [X0] : lower_bounded_relstr(boole_POSet(X0)),
inference(cnf_transformation,[],[f153]) ).
fof(f465,plain,
! [X0] : upper_bounded_relstr(boole_POSet(X0)),
inference(cnf_transformation,[],[f153]) ).
fof(f466,plain,
! [X0] : bounded_relstr(boole_POSet(X0)),
inference(cnf_transformation,[],[f153]) ).
fof(f467,plain,
! [X0] : up_complete_relstr(boole_POSet(X0)),
inference(cnf_transformation,[],[f153]) ).
fof(f468,plain,
! [X0] : join_complete_relstr(boole_POSet(X0)),
inference(cnf_transformation,[],[f153]) ).
fof(f469,plain,
! [X0] : with_suprema_relstr(boole_POSet(X0)),
inference(cnf_transformation,[],[f153]) ).
fof(f470,plain,
! [X0] : with_infima_relstr(boole_POSet(X0)),
inference(cnf_transformation,[],[f153]) ).
fof(f471,plain,
! [X0] : complete_relstr(boole_POSet(X0)),
inference(cnf_transformation,[],[f153]) ).
fof(f446,plain,
! [X0] : ~ empty_carrier(boole_POSet(X0)),
inference(cnf_transformation,[],[f151]) ).
fof(f447,plain,
! [X0] : strict_rel_str(boole_POSet(X0)),
inference(cnf_transformation,[],[f151]) ).
fof(f448,plain,
! [X0] : reflexive_relstr(boole_POSet(X0)),
inference(cnf_transformation,[],[f151]) ).
fof(f449,plain,
! [X0] : transitive_relstr(boole_POSet(X0)),
inference(cnf_transformation,[],[f151]) ).
fof(f450,plain,
! [X0] : antisymmetric_relstr(boole_POSet(X0)),
inference(cnf_transformation,[],[f151]) ).
fof(f439,plain,
empty(empty_set),
inference(cnf_transformation,[],[f188]) ).
fof(f188,plain,
empty(empty_set),
inference(pure_predicate_removal,[],[f164]) ).
fof(f164,plain,
( relation(empty_set)
& empty(empty_set) ),
inference(pure_predicate_removal,[],[f51]) ).
fof(f51,axiom,
( relation_empty_yielding(empty_set)
& relation(empty_set)
& empty(empty_set) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc12_relat_1) ).
fof(f437,plain,
( ~ point_neighbourhood(sK8,sK6,sK7)
| ~ in(sK8,neighborhood_system(sK6,sK7)) ),
inference(cnf_transformation,[],[f337]) ).
fof(f2920,plain,
( spl51_1
| ~ spl51_2 ),
inference(avatar_contradiction_clause,[],[f2919]) ).
fof(f2919,plain,
( $false
| spl51_1
| ~ spl51_2 ),
inference(subsumption_resolution,[],[f2917,f807]) ).
fof(f2917,plain,
( ~ point_neighbourhood(sK8,sK6,sK7)
| spl51_1 ),
inference(resolution,[],[f2860,f802]) ).
fof(f802,plain,
( ~ in(sK8,neighborhood_system(sK6,sK7))
| spl51_1 ),
inference(avatar_component_clause,[],[f801]) ).
fof(f2888,plain,
( spl51_15
| ~ spl51_16
| ~ spl51_17
| ~ spl51_2 ),
inference(avatar_split_clause,[],[f2826,f805,f2885,f2881,f2877]) ).
fof(f2877,plain,
( spl51_15
<=> nowhere_dense(sK8,sK6) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_15])]) ).
fof(f2881,plain,
( spl51_16
<=> closed_subset(sK8,sK6) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_16])]) ).
fof(f2885,plain,
( spl51_17
<=> boundary_set(sK8,sK6) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_17])]) ).
fof(f2845,plain,
( ~ spl51_13
| spl51_14
| ~ spl51_2 ),
inference(avatar_split_clause,[],[f2823,f805,f2842,f2838]) ).
fof(f2838,plain,
( spl51_13
<=> finite(the_carrier(sK6)) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_13])]) ).
fof(f2842,plain,
( spl51_14
<=> finite(sK8) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_14])]) ).
fof(f1016,plain,
( spl51_11
| spl51_12 ),
inference(avatar_split_clause,[],[f999,f1014,f1011]) ).
fof(f1011,plain,
( spl51_11
<=> ! [X1] : ~ in(X1,empty_set) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_11])]) ).
fof(f1014,plain,
( spl51_12
<=> ! [X0] : ~ empty(X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_12])]) ).
fof(f991,plain,
( ~ spl51_9
| spl51_10 ),
inference(avatar_split_clause,[],[f954,f988,f984]) ).
fof(f984,plain,
( spl51_9
<=> topological_space(sK36) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_9])]) ).
fof(f988,plain,
( spl51_10
<=> empty_set = sK23(sK36) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_10])]) ).
fof(f977,plain,
spl51_7,
inference(avatar_contradiction_clause,[],[f976]) ).
fof(f976,plain,
( $false
| spl51_7 ),
inference(subsumption_resolution,[],[f975,f433]) ).
fof(f975,plain,
( ~ topological_space(sK6)
| spl51_7 ),
inference(subsumption_resolution,[],[f974,f434]) ).
fof(f974,plain,
( ~ top_str(sK6)
| ~ topological_space(sK6)
| spl51_7 ),
inference(resolution,[],[f968,f621]) ).
fof(f968,plain,
( ~ sP5(sK6)
| spl51_7 ),
inference(avatar_component_clause,[],[f966]) ).
fof(f966,plain,
( spl51_7
<=> sP5(sK6) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_7])]) ).
fof(f973,plain,
( ~ spl51_7
| spl51_8 ),
inference(avatar_split_clause,[],[f959,f970,f966]) ).
fof(f970,plain,
( spl51_8
<=> open_subset(empty_set,sK6) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_8])]) ).
fof(f897,plain,
( spl51_5
| spl51_6 ),
inference(avatar_split_clause,[],[f866,f894,f890]) ).
fof(f890,plain,
( spl51_5
<=> in(sK7,the_carrier(sK6)) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_5])]) ).
fof(f894,plain,
( spl51_6
<=> empty(the_carrier(sK6)) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_6])]) ).
fof(f849,plain,
( ~ spl51_3
| spl51_4 ),
inference(avatar_contradiction_clause,[],[f848]) ).
fof(f848,plain,
( $false
| ~ spl51_3
| spl51_4 ),
inference(global_subsumption,[],[f437,f439,f450,f449,f448,f447,f446,f471,f470,f469,f468,f467,f466,f465,f464,f463,f462,f461,f460,f459,f482,f481,f480,f479,f478,f477,f476,f475,f474,f473,f472,f483,f498,f749,f497,f750,f496,f751,f495,f752,f494,f753,f493,f754,f492,f755,f491,f756,f490,f757,f489,f758,f488,f759,f487,f760,f485,f761,f509,f514,f519,f523,f526,f529,f528,f537,f540,f544,f543,f555,f559,f565,f570,f567,f762,f571,f572,f575,f579,f578,f577,f576,f582,f581,f580,f585,f587,f588,f590,f591,f595,f594,f593,f597,f596,f599,f598,f600,f602,f601,f603,f605,f604,f612,f614,f615,f623,f622,f626,f625,f624,f628,f627,f632,f631,f634,f642,f644,f643,f646,f645,f647,f648,f649,f650,f651,f653,f652,f659,f748,f661,f660,f663,f665,f664,f666,f432,f433,f434,f438,f667,f668,f669,f670,f671,f672,f673,f674,f675,f676,f677,f678,f679,f680,f681,f682,f683,f684,f685,f686,f687,f688,f689,f690,f691,f692,f693,f694,f695,f696,f697,f698,f699,f700,f701,f702,f703,f704,f705,f706,f707,f708,f709,f710,f711,f712,f713,f714,f715,f716,f717,f718,f719,f720,f721,f722,f723,f724,f725,f726,f727,f728,f729,f730,f731,f732,f733,f734,f735,f736,f737,f738,f739,f740,f741,f742,f743,f744,f745,f746,f747,f440,f441,f442,f443,f444,f445,f451,f452,f453,f454,f455,f456,f457,f458,f484,f635,f637,f638,f639,f435,f499,f508,f518,f534,f535,f536,f550,f551,f553,f554,f563,f573,f633,f486,f501,f503,f504,f506,f507,f511,f515,f516,f574,f766,f765,f607,f616,f770,f656,f512,f520,f521,f522,f524,f609,f610,f617,f618,f619,f620,f621,f636,f640,f641,f657,f658,f764,f791,f795,f792,f798,f769,f799,f436,f500,f502,f505,f583,f584,f586,f589,f592,f629,f630,f654,f655,f810,f811,f510,f513,f517,f818,f819,f820,f822,f825,f826,f821,f833,f830,f836,f837,f838,f839]) ).
fof(f839,plain,
( ! [X0] : ~ one_sorted_str(X0)
| ~ spl51_3 ),
inference(resolution,[],[f830,f516]) ).
fof(f838,plain,
( ! [X0] : empty(X0)
| ~ spl51_3 ),
inference(resolution,[],[f830,f507]) ).
fof(f837,plain,
( ! [X0] : empty(X0)
| ~ spl51_3 ),
inference(resolution,[],[f830,f504]) ).
fof(f836,plain,
( ! [X0] : ~ empty(X0)
| ~ spl51_3 ),
inference(resolution,[],[f830,f573]) ).
fof(f830,plain,
( ! [X0] : ~ finite(X0)
| ~ spl51_3 ),
inference(avatar_component_clause,[],[f829]) ).
fof(f829,plain,
( spl51_3
<=> ! [X0] : ~ finite(X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_3])]) ).
fof(f833,plain,
( ~ finite(empty_set)
| spl51_4 ),
inference(avatar_component_clause,[],[f832]) ).
fof(f832,plain,
( spl51_4
<=> finite(empty_set) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_4])]) ).
fof(f847,plain,
( ~ spl51_3
| spl51_4 ),
inference(avatar_contradiction_clause,[],[f846]) ).
fof(f846,plain,
( $false
| ~ spl51_3
| spl51_4 ),
inference(global_subsumption,[],[f437,f439,f450,f449,f448,f447,f446,f471,f470,f469,f468,f467,f466,f465,f464,f463,f462,f461,f460,f459,f482,f481,f480,f479,f478,f477,f476,f475,f474,f473,f472,f483,f498,f749,f497,f750,f496,f751,f495,f752,f494,f753,f493,f754,f492,f755,f491,f756,f490,f757,f489,f758,f488,f759,f487,f760,f485,f761,f509,f514,f519,f523,f526,f529,f528,f537,f540,f544,f543,f555,f559,f565,f570,f567,f762,f571,f572,f575,f579,f578,f577,f576,f582,f581,f580,f585,f587,f588,f590,f591,f595,f594,f593,f597,f596,f599,f598,f600,f602,f601,f603,f605,f604,f612,f614,f615,f623,f622,f626,f625,f624,f628,f627,f632,f631,f634,f642,f644,f643,f646,f645,f647,f648,f649,f650,f651,f653,f652,f659,f748,f661,f660,f663,f665,f664,f666,f432,f433,f434,f438,f667,f668,f669,f670,f671,f672,f673,f674,f675,f676,f677,f678,f679,f680,f681,f682,f683,f684,f685,f686,f687,f688,f689,f690,f691,f692,f693,f694,f695,f696,f697,f698,f699,f700,f701,f702,f703,f704,f705,f706,f707,f708,f709,f710,f711,f712,f713,f714,f715,f716,f717,f718,f719,f720,f721,f722,f723,f724,f725,f726,f727,f728,f729,f730,f731,f732,f733,f734,f735,f736,f737,f738,f739,f740,f741,f742,f743,f744,f745,f746,f747,f440,f441,f442,f443,f444,f445,f451,f452,f453,f454,f455,f456,f457,f458,f484,f635,f637,f638,f639,f435,f499,f508,f518,f534,f535,f536,f550,f551,f553,f554,f563,f573,f633,f486,f501,f503,f504,f506,f507,f511,f515,f516,f574,f766,f765,f607,f616,f770,f656,f512,f520,f521,f522,f524,f609,f610,f617,f618,f619,f620,f621,f636,f640,f641,f657,f658,f764,f791,f795,f792,f798,f769,f799,f436,f500,f502,f505,f583,f584,f586,f589,f592,f629,f630,f654,f655,f810,f811,f510,f513,f517,f818,f819,f820,f822,f825,f826,f821,f833,f830,f836,f837,f838]) ).
fof(f845,plain,
( ~ spl51_3
| spl51_4 ),
inference(avatar_contradiction_clause,[],[f844]) ).
fof(f844,plain,
( $false
| ~ spl51_3
| spl51_4 ),
inference(global_subsumption,[],[f437,f439,f450,f449,f448,f447,f446,f471,f470,f469,f468,f467,f466,f465,f464,f463,f462,f461,f460,f459,f482,f481,f480,f479,f478,f477,f476,f475,f474,f473,f472,f483,f498,f749,f497,f750,f496,f751,f495,f752,f494,f753,f493,f754,f492,f755,f491,f756,f490,f757,f489,f758,f488,f759,f487,f760,f485,f761,f509,f514,f519,f523,f526,f529,f528,f537,f540,f544,f543,f555,f559,f565,f570,f567,f762,f571,f572,f575,f579,f578,f577,f576,f582,f581,f580,f585,f587,f588,f590,f591,f595,f594,f593,f597,f596,f599,f598,f600,f602,f601,f603,f605,f604,f612,f614,f615,f623,f622,f626,f625,f624,f628,f627,f632,f631,f634,f642,f644,f643,f646,f645,f647,f648,f649,f650,f651,f653,f652,f659,f748,f661,f660,f663,f665,f664,f666,f432,f433,f434,f438,f667,f668,f669,f670,f671,f672,f673,f674,f675,f676,f677,f678,f679,f680,f681,f682,f683,f684,f685,f686,f687,f688,f689,f690,f691,f692,f693,f694,f695,f696,f697,f698,f699,f700,f701,f702,f703,f704,f705,f706,f707,f708,f709,f710,f711,f712,f713,f714,f715,f716,f717,f718,f719,f720,f721,f722,f723,f724,f725,f726,f727,f728,f729,f730,f731,f732,f733,f734,f735,f736,f737,f738,f739,f740,f741,f742,f743,f744,f745,f746,f747,f440,f441,f442,f443,f444,f445,f451,f452,f453,f454,f455,f456,f457,f458,f484,f635,f637,f638,f639,f435,f499,f508,f518,f534,f535,f536,f550,f551,f553,f554,f563,f573,f633,f486,f501,f503,f504,f506,f507,f511,f515,f516,f574,f766,f765,f607,f616,f770,f656,f512,f520,f521,f522,f524,f609,f610,f617,f618,f619,f620,f621,f636,f640,f641,f657,f658,f764,f791,f795,f792,f798,f769,f799,f436,f500,f502,f505,f583,f584,f586,f589,f592,f629,f630,f654,f655,f810,f811,f510,f513,f517,f818,f819,f820,f822,f825,f826,f821,f833,f830,f836,f837]) ).
fof(f843,plain,
~ spl51_3,
inference(avatar_contradiction_clause,[],[f840]) ).
fof(f840,plain,
( $false
| ~ spl51_3 ),
inference(resolution,[],[f830,f638]) ).
fof(f842,plain,
~ spl51_3,
inference(avatar_contradiction_clause,[],[f841]) ).
fof(f841,plain,
( $false
| ~ spl51_3 ),
inference(resolution,[],[f830,f672]) ).
fof(f835,plain,
( spl51_3
| spl51_4 ),
inference(avatar_split_clause,[],[f821,f832,f829]) ).
fof(f808,plain,
( spl51_1
| spl51_2 ),
inference(avatar_split_clause,[],[f436,f805,f801]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SEU388+1 : TPTP v8.1.2. Released v3.3.0.
% 0.13/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.13/0.35 % Computer : n026.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Mon Apr 29 21:21:49 EDT 2024
% 0.13/0.35 % CPUTime :
% 0.13/0.35 % (9320)Running in auto input_syntax mode. Trying TPTP
% 0.13/0.37 % (9326)WARNING: value z3 for option sas not known
% 0.13/0.38 % (9324)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.13/0.38 % (9325)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.13/0.38 % (9327)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.13/0.38 % (9326)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on theBenchmark for (569ds/0Mi)
% 0.13/0.38 % (9329)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on theBenchmark for (522ds/0Mi)
% 0.13/0.38 % (9328)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on theBenchmark for (531ds/0Mi)
% 0.13/0.38 % (9330)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on theBenchmark for (497ds/0Mi)
% 0.13/0.39 TRYING [1]
% 0.13/0.39 TRYING [2]
% 0.13/0.39 TRYING [3]
% 0.13/0.41 TRYING [1]
% 0.13/0.41 TRYING [4]
% 0.13/0.42 TRYING [2]
% 0.20/0.45 TRYING [5]
% 0.20/0.46 % (9326)First to succeed.
% 0.20/0.47 TRYING [3]
% 0.20/0.49 % (9326)Refutation found. Thanks to Tanya!
% 0.20/0.49 % SZS status Theorem for theBenchmark
% 0.20/0.49 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.50 % (9326)------------------------------
% 0.20/0.50 % (9326)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.20/0.50 % (9326)Termination reason: Refutation
% 0.20/0.50
% 0.20/0.50 % (9326)Memory used [KB]: 2221
% 0.20/0.50 % (9326)Time elapsed: 0.112 s
% 0.20/0.50 % (9326)Instructions burned: 220 (million)
% 0.20/0.50 % (9326)------------------------------
% 0.20/0.50 % (9326)------------------------------
% 0.20/0.50 % (9320)Success in time 0.143 s
%------------------------------------------------------------------------------