TSTP Solution File: SYO500^1.002 by Vampire-SAT---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SYO500^1.002 : TPTP v8.2.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n006.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 May 21 09:11:33 EDT 2024
% Result : Theorem 0.20s 0.45s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 667
% Syntax : Number of formulae : 1092 ( 9 unt; 11 typ; 0 def)
% Number of atoms : 27218 (3609 equ; 0 cnn)
% Maximal formula atoms : 9 ( 25 avg)
% Number of connectives : 6624 (3084 ~;3502 |; 0 &; 0 @)
% ( 38 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 5 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 20 ( 19 >; 1 *; 0 +; 0 <<)
% Number of symbols : 53 ( 50 usr; 41 con; 0-6 aty)
% Number of variables : 24 ( 0 ^ 18 !; 0 ?; 24 :)
% ( 6 !>; 0 ?*; 0 @-; 0 @+)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
sTfun: ( $tType * $tType ) > $tType ).
thf(func_def_0,type,
x: $o ).
thf(func_def_1,type,
f0: $o > $o ).
thf(func_def_2,type,
f1: $o > $o ).
thf(func_def_7,type,
kCOMB:
!>[X0: $tType,X1: $tType] : ( X0 > X1 > X0 ) ).
thf(func_def_8,type,
bCOMB:
!>[X0: $tType,X1: $tType,X2: $tType] : ( ( X1 > X2 ) > ( X0 > X1 ) > X0 > X2 ) ).
thf(func_def_9,type,
vAND: $o > $o > $o ).
thf(func_def_10,type,
vOR: $o > $o > $o ).
thf(func_def_11,type,
vIMP: $o > $o > $o ).
thf(func_def_12,type,
vNOT: $o > $o ).
thf(func_def_13,type,
vEQ:
!>[X0: $tType] : ( X0 > X0 > $o ) ).
thf(f1487,plain,
$false,
inference(avatar_sat_refutation,[],[f13,f22,f31,f78,f87,f100,f105,f110,f119,f120,f121,f122,f123,f124,f125,f126,f127,f128,f129,f137,f149,f154,f159,f165,f215,f224,f230,f231,f236,f241,f243,f244,f245,f246,f247,f248,f250,f253,f259,f265,f271,f305,f306,f311,f312,f313,f314,f315,f316,f317,f318,f319,f320,f321,f322,f323,f324,f325,f326,f327,f328,f329,f330,f331,f332,f333,f334,f335,f336,f337,f338,f339,f340,f341,f342,f343,f344,f345,f346,f347,f348,f349,f350,f351,f352,f353,f354,f359,f365,f370,f376,f377,f378,f379,f380,f381,f382,f383,f384,f385,f386,f388,f397,f414,f452,f483,f485,f487,f488,f489,f490,f491,f492,f493,f494,f495,f498,f500,f504,f507,f508,f509,f510,f511,f512,f513,f514,f515,f516,f517,f518,f519,f520,f521,f522,f523,f524,f525,f526,f527,f528,f529,f530,f531,f533,f536,f538,f540,f590,f596,f599,f600,f601,f602,f603,f604,f605,f606,f607,f608,f609,f610,f611,f612,f613,f614,f615,f616,f617,f618,f619,f620,f621,f622,f623,f624,f625,f626,f627,f628,f629,f630,f631,f632,f633,f634,f635,f636,f637,f638,f639,f640,f641,f642,f643,f644,f645,f646,f647,f648,f649,f650,f651,f652,f653,f654,f655,f656,f657,f658,f659,f660,f661,f662,f663,f664,f665,f666,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,f748,f749,f750,f751,f752,f753,f754,f755,f756,f757,f758,f759,f760,f761,f762,f763,f764,f765,f766,f767,f768,f769,f770,f771,f772,f773,f774,f775,f776,f778,f796,f814,f815,f816,f844,f847,f850,f906,f909,f912,f915,f1034,f1036,f1038,f1039,f1040,f1041,f1042,f1043,f1044,f1045,f1046,f1047,f1048,f1049,f1052,f1055,f1058,f1060,f1063,f1065,f1068,f1070,f1072,f1073,f1074,f1075,f1076,f1077,f1078,f1079,f1080,f1081,f1082,f1083,f1084,f1085,f1086,f1087,f1088,f1089,f1090,f1091,f1092,f1093,f1094,f1095,f1096,f1097,f1098,f1099,f1100,f1101,f1102,f1103,f1104,f1105,f1106,f1107,f1108,f1109,f1110,f1112,f1113,f1114,f1115,f1118,f1119,f1121,f1123,f1124,f1125,f1126,f1127,f1131,f1132,f1133,f1134,f1135,f1139,f1147,f1150,f1165,f1166,f1167,f1168,f1169,f1170,f1171,f1172,f1173,f1174,f1175,f1176,f1177,f1178,f1179,f1180,f1181,f1182,f1183,f1184,f1185,f1186,f1187,f1188,f1189,f1190,f1191,f1192,f1193,f1194,f1195,f1196,f1197,f1198,f1199,f1200,f1201,f1202,f1203,f1204,f1205,f1206,f1207,f1208,f1209,f1210,f1211,f1212,f1213,f1214,f1215,f1216,f1217,f1218,f1219,f1220,f1221,f1222,f1223,f1224,f1225,f1226,f1227,f1228,f1229,f1230,f1231,f1232,f1233,f1234,f1235,f1236,f1237,f1238,f1239,f1240,f1241,f1242,f1243,f1244,f1245,f1246,f1247,f1248,f1249,f1250,f1251,f1252,f1253,f1254,f1255,f1256,f1257,f1258,f1259,f1260,f1261,f1262,f1263,f1264,f1265,f1266,f1267,f1268,f1269,f1270,f1271,f1272,f1273,f1274,f1275,f1276,f1277,f1278,f1279,f1280,f1281,f1282,f1283,f1284,f1285,f1286,f1287,f1288,f1289,f1290,f1291,f1292,f1293,f1294,f1295,f1296,f1297,f1298,f1299,f1300,f1301,f1302,f1303,f1304,f1305,f1306,f1307,f1308,f1309,f1310,f1311,f1312,f1313,f1314,f1315,f1316,f1317,f1318,f1319,f1320,f1321,f1322,f1323,f1324,f1325,f1326,f1327,f1328,f1329,f1330,f1331,f1332,f1333,f1334,f1335,f1336,f1337,f1338,f1339,f1340,f1341,f1342,f1343,f1344,f1345,f1346,f1347,f1348,f1349,f1350,f1351,f1352,f1353,f1354,f1355,f1356,f1357,f1358,f1359,f1360,f1361,f1362,f1363,f1364,f1365,f1366,f1367,f1368,f1369,f1370,f1371,f1372,f1373,f1374,f1375,f1376,f1377,f1378,f1379,f1380,f1381,f1382,f1383,f1384,f1385,f1386,f1387,f1388,f1389,f1390,f1391,f1392,f1393,f1394,f1395,f1396,f1397,f1398,f1399,f1400,f1401,f1402,f1403,f1404,f1405,f1406,f1407,f1408,f1409,f1410,f1411,f1412,f1413,f1414,f1415,f1416,f1417,f1418,f1419,f1420,f1421,f1422,f1423,f1424,f1425,f1426,f1427,f1428,f1429,f1430,f1431,f1432,f1433,f1434,f1435,f1436,f1437,f1438,f1439,f1440,f1441,f1442,f1443,f1444,f1445,f1446,f1447,f1448,f1449,f1450,f1451,f1452,f1453,f1454,f1455,f1456,f1457,f1458,f1459,f1460,f1461,f1462,f1463,f1464,f1465,f1466,f1467,f1468,f1469,f1470,f1471,f1472,f1473,f1474,f1475,f1476,f1477,f1478,f1479,f1480,f1481,f1482,f1483,f1484,f1485,f1486]) ).
thf(f1486,plain,
( ( vAPP($o,$o,f1,x) != $false )
| ( $false != vAPP($o,$o,f1,$true) )
| ( $false != vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,$false))) )
| ( $true != vAPP($o,$o,f1,$false) )
| ( $true = $false ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f1485,plain,
( ( vAPP($o,$o,f1,x) != $false )
| ( $false != vAPP($o,$o,f1,$true) )
| ( vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,x)))) != $false )
| ( $false != vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,$false))) )
| ( $true != vAPP($o,$o,f1,$false) )
| ( vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,x)))) = $true ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f1484,plain,
( ( vAPP($o,$o,f1,x) != $false )
| ( $false != vAPP($o,$o,f1,$true) )
| ( $false != vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,$false))) )
| ( $true != vAPP($o,$o,f1,$false) )
| ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x)))) != $true )
| ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x)))) = $false ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f1483,plain,
( ( vAPP($o,$o,f1,x) != $false )
| ( $false != vAPP($o,$o,f1,$true) )
| ( $false != vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,$false))) )
| ( $true != vAPP($o,$o,f1,$false) )
| ( x != $true )
| ( x = $false ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f1482,plain,
( ( $false != vAPP($o,$o,f1,$true) )
| ( vAPP($o,$o,f1,x) != $false )
| ( $false != vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,$false))) )
| ( $true != vAPP($o,$o,f1,$false) )
| ( vAPP($o,$o,f1,x) = $true ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f1481,plain,
( ( vAPP($o,$o,f1,x) != $false )
| ( $false != vAPP($o,$o,f1,$true) )
| ( $false != vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,$false))) )
| ( $true != vAPP($o,$o,f1,$false) )
| ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x))) != $true )
| ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x))) = $false ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f1480,plain,
( ( vAPP($o,$o,f1,x) != $false )
| ( $false != vAPP($o,$o,f1,$true) )
| ( $false != vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,$false))) )
| ( $true != vAPP($o,$o,f1,$false) )
| ( vAPP($o,$o,f0,vAPP($o,$o,f1,x)) != $true )
| ( vAPP($o,$o,f0,vAPP($o,$o,f1,x)) = $false ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f1479,plain,
( ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x))) != $true )
| ( vAPP($o,$o,f1,x) != $false )
| ( $false != vAPP($o,$o,f1,$true) )
| ( $false != vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,$false))) )
| ( $true != vAPP($o,$o,f1,$false) )
| ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x)))) != $true )
| ( $false = vAPP($o,$o,f0,$true) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f1478,plain,
( ( $true != vAPP($o,$o,f1,$false) )
| ( vAPP($o,$o,f1,x) != $false )
| ( $false != vAPP($o,$o,f1,$true) )
| ( $false != vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,$false))) )
| ( $false = vAPP($o,$o,f1,$false) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f1477,plain,
( ( vAPP($o,$o,f1,x) != $false )
| ( $false != vAPP($o,$o,f1,$true) )
| ( $false != vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,$false))) )
| ( $true != vAPP($o,$o,f1,$false) )
| ( $true != vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,$false)))) )
| ( $false = vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,$false)))) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f1476,plain,
( ( $false != vAPP($o,$o,f1,$true) )
| ( vAPP($o,$o,f1,x) != $false )
| ( $false != vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,$false))) )
| ( $true != vAPP($o,$o,f1,$false) )
| ( vAPP($o,$o,f0,vAPP($o,$o,f1,x)) != $true )
| ( $false = vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,$true))) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f1475,plain,
( ( $true != vAPP($o,$o,f1,$false) )
| ( vAPP($o,$o,f1,x) != $false )
| ( $false != vAPP($o,$o,f1,$true) )
| ( $false = vAPP($o,$o,f1,vAPP($o,$o,f1,$false)) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f1474,plain,
( ( vAPP($o,$o,f1,x) != $false )
| ( $false != vAPP($o,$o,f1,$true) )
| ( $true != vAPP($o,$o,f1,$false) )
| ( $true = vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,$false))) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f1473,plain,
( ( $false != vAPP($o,$o,f1,$true) )
| ( vAPP($o,$o,f1,x) != $false )
| ( $true != vAPP($o,$o,f1,$false) )
| ( $true = vAPP($o,$o,f1,vAPP($o,$o,f1,$true)) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f1472,plain,
( ( vAPP($o,$o,f1,x) != $false )
| ( $false != vAPP($o,$o,f1,$true) )
| ( $false != vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,$false))) )
| ( $true != vAPP($o,$o,f1,$false) )
| ( vAPP($o,$o,f0,vAPP($o,$o,f1,x)) != $true )
| ( $false = vAPP($o,$o,f0,$false) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f1471,plain,
( ( vAPP($o,$o,f1,x) != $false )
| ( $false != vAPP($o,$o,f1,$true) )
| ( $false != vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,$false))) )
| ( $true != vAPP($o,$o,f1,$false) )
| ( $true = vAPP($o,$o,f1,$true) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f1470,plain,
( ( vAPP($o,$o,f1,x) != $false )
| ( $false != vAPP($o,$o,f1,$true) )
| ( $false != vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,$false))) )
| ( $true != vAPP($o,$o,f1,$false) )
| ( $true != vAPP($o,$o,f0,vAPP($o,$o,f1,$false)) )
| ( $false = vAPP($o,$o,f0,vAPP($o,$o,f1,$false)) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f1469,plain,
( ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x))) != $true )
| ( vAPP($o,$o,f1,x) != $false )
| ( $false != vAPP($o,$o,f1,$true) )
| ( $false != vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,$false))) )
| ( $true != vAPP($o,$o,f1,$false) )
| ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x)))) != $true )
| ( $false = vAPP($o,$o,f0,vAPP($o,$o,f0,$true)) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f1468,plain,
( ( vAPP($o,$o,f1,x) != $false )
| ( $false != vAPP($o,$o,f0,$false) )
| ( vAPP($o,$o,f0,vAPP($o,$o,f1,x)) != $true )
| ( $true = $false ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f1467,plain,
( ( vAPP($o,$o,f1,x) != $false )
| ( vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,x)))) != $false )
| ( $false != vAPP($o,$o,f0,$false) )
| ( vAPP($o,$o,f0,vAPP($o,$o,f1,x)) != $true )
| ( vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,x)))) = $true ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f1466,plain,
( ( vAPP($o,$o,f1,x) != $false )
| ( $false != vAPP($o,$o,f0,$false) )
| ( vAPP($o,$o,f0,vAPP($o,$o,f1,x)) != $true )
| ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x)))) != $true )
| ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x)))) = $false ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f1465,plain,
( ( vAPP($o,$o,f1,x) != $false )
| ( $false != vAPP($o,$o,f0,$false) )
| ( vAPP($o,$o,f0,vAPP($o,$o,f1,x)) != $true )
| ( x != $true )
| ( x = $false ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f1464,plain,
( ( vAPP($o,$o,f1,x) != $false )
| ( $false != vAPP($o,$o,f0,$false) )
| ( vAPP($o,$o,f0,vAPP($o,$o,f1,x)) != $true )
| ( vAPP($o,$o,f1,x) = $true ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f1463,plain,
( ( vAPP($o,$o,f1,x) != $false )
| ( $false != vAPP($o,$o,f0,$false) )
| ( vAPP($o,$o,f0,vAPP($o,$o,f1,x)) != $true )
| ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x))) != $true )
| ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x))) = $false ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f1462,plain,
( ( vAPP($o,$o,f1,x) != $false )
| ( $false != vAPP($o,$o,f0,$false) )
| ( vAPP($o,$o,f0,vAPP($o,$o,f1,x)) = $false ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f1461,plain,
( ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x))) != $true )
| ( vAPP($o,$o,f1,x) != $false )
| ( $false != vAPP($o,$o,f0,$false) )
| ( vAPP($o,$o,f0,vAPP($o,$o,f1,x)) != $true )
| ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x)))) != $true )
| ( $false = vAPP($o,$o,f0,$true) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f1460,plain,
( ( vAPP($o,$o,f1,x) != $false )
| ( $false != vAPP($o,$o,f0,$false) )
| ( vAPP($o,$o,f0,vAPP($o,$o,f1,x)) != $true )
| ( $true != vAPP($o,$o,f1,$false) )
| ( $false = vAPP($o,$o,f1,$false) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f1459,plain,
( ( $false != vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,$false))) )
| ( $false != vAPP($o,$o,f0,$false) )
| ( $false = vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,$false)))) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f1458,plain,
( ( vAPP($o,$o,f1,x) != $false )
| ( $false != vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,$false))) )
| ( vAPP($o,$o,f0,vAPP($o,$o,f1,x)) != $true )
| ( $true = vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,$false)))) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f1457,plain,
( ( $true != vAPP($o,$o,f1,$false) )
| ( vAPP($o,$o,f1,x) != $false )
| ( $false != vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,$false))) )
| ( $false != vAPP($o,$o,f0,$false) )
| ( $false = vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,$true))) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f1456,plain,
( ( vAPP($o,$o,f1,x) != $false )
| ( $false != vAPP($o,$o,f0,$false) )
| ( $true != vAPP($o,$o,f1,$false) )
| ( vAPP($o,$o,f0,vAPP($o,$o,f1,x)) != $true )
| ( $false = vAPP($o,$o,f1,vAPP($o,$o,f1,$false)) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f1455,plain,
( ( vAPP($o,$o,f1,x) != $false )
| ( $false != vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,$false))) )
| ( $false != vAPP($o,$o,f0,$false) )
| ( vAPP($o,$o,f0,vAPP($o,$o,f1,x)) != $true )
| ( $true = vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,$false))) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f1454,plain,
( ( $true != vAPP($o,$o,f1,$false) )
| ( vAPP($o,$o,f1,x) != $false )
| ( $false != vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,$false))) )
| ( $false != vAPP($o,$o,f0,$false) )
| ( vAPP($o,$o,f0,vAPP($o,$o,f1,x)) != $true )
| ( $true = vAPP($o,$o,f1,vAPP($o,$o,f1,$true)) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f1453,plain,
( ( vAPP($o,$o,f1,x) != $false )
| ( $false != vAPP($o,$o,f0,$false) )
| ( vAPP($o,$o,f0,vAPP($o,$o,f1,x)) != $true )
| ( $true != vAPP($o,$o,f1,$false) )
| ( $true = vAPP($o,$o,f1,$true) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f1452,plain,
( ( vAPP($o,$o,f1,x) != $false )
| ( $false != vAPP($o,$o,f0,$false) )
| ( vAPP($o,$o,f0,vAPP($o,$o,f1,x)) != $true )
| ( $true != vAPP($o,$o,f0,vAPP($o,$o,f1,$false)) )
| ( $false = vAPP($o,$o,f0,vAPP($o,$o,f1,$false)) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f1451,plain,
( ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x))) != $true )
| ( vAPP($o,$o,f1,x) != $false )
| ( $false != vAPP($o,$o,f0,$false) )
| ( vAPP($o,$o,f0,vAPP($o,$o,f1,x)) != $true )
| ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x)))) != $true )
| ( $false = vAPP($o,$o,f0,vAPP($o,$o,f0,$true)) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f1450,plain,
( ( $true != vAPP($o,$o,f1,$false) )
| ( vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,x)))) != $false )
| ( vAPP($o,$o,f1,x) != $false )
| ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x)))) != $true )
| ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x))) != $false )
| ( $true != vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,$true)))) )
| ( $true = $false ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f1449,plain,
( ( $true != vAPP($o,$o,f1,$false) )
| ( vAPP($o,$o,f1,x) != $false )
| ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x)))) != $true )
| ( vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,x)))) != $false )
| ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x))) != $false )
| ( $true != vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,$true)))) )
| ( vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,x)))) = $true ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f1448,plain,
( ( $true != vAPP($o,$o,f1,$false) )
| ( vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,x)))) != $false )
| ( vAPP($o,$o,f1,x) != $false )
| ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x))) != $false )
| ( $true != vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,$true)))) )
| ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x)))) != $true )
| ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x)))) = $false ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f1447,plain,
( ( $true != vAPP($o,$o,f1,$false) )
| ( vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,x)))) != $false )
| ( vAPP($o,$o,f1,x) != $false )
| ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x)))) != $true )
| ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x))) != $false )
| ( $true != vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,$true)))) )
| ( x != $true )
| ( x = $false ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f1446,plain,
( ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x))) != $false )
| ( vAPP($o,$o,f1,x) != $false )
| ( $true != vAPP($o,$o,f1,$false) )
| ( vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,x)))) != $false )
| ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x)))) != $true )
| ( $true != vAPP($o,$o,f0,vAPP($o,$o,f0,$true)) )
| ( $true != vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,$true)))) )
| ( $true = vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,$true))) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f1445,plain,
( ( $true != vAPP($o,$o,f1,$false) )
| ( vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,x)))) != $false )
| ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x))) != $false )
| ( vAPP($o,$o,f1,x) != $false )
| ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x)))) != $true )
| ( $true != vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,$true)))) )
| ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x))) = $true ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f1444,plain,
( ( $true != vAPP($o,$o,f1,$false) )
| ( vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,x)))) != $false )
| ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x)))) != $true )
| ( vAPP($o,$o,f1,x) != $false )
| ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x))) != $false )
| ( $true != vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,$true)))) )
| ( vAPP($o,$o,f1,x) = $true ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f1443,plain,
( ( $true != vAPP($o,$o,f1,$false) )
| ( vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,x)))) != $false )
| ( vAPP($o,$o,f1,x) != $false )
| ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x))) != $false )
| ( $true != vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,$true)))) )
| ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x)))) != $true )
| ( vAPP($o,$o,f0,vAPP($o,$o,f1,x)) = $false ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f1442,plain,
( ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x))) != $false )
| ( vAPP($o,$o,f1,x) != $false )
| ( $true != vAPP($o,$o,f1,$false) )
| ( vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,x)))) != $false )
| ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x)))) != $true )
| ( $true != vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,$true)))) )
| ( $true = vAPP($o,$o,f0,$true) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f1441,plain,
( ( vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,x)))) != $false )
| ( vAPP($o,$o,f1,x) != $false )
| ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x)))) != $true )
| ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x))) != $false )
| ( $true != vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,$true)))) )
| ( $true != vAPP($o,$o,f1,$false) )
| ( $false = vAPP($o,$o,f1,$false) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f1440,plain,
( ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x))) != $false )
| ( vAPP($o,$o,f1,x) != $false )
| ( vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,x)))) != $false )
| ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x)))) != $true )
| ( $true != vAPP($o,$o,f1,$false) )
| ( $true != vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,$true)))) )
| ( $true = vAPP($o,$o,f0,vAPP($o,$o,f1,$false)) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f1439,plain,
( ( $true != vAPP($o,$o,f1,$false) )
| ( vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,x)))) != $false )
| ( $false != vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,$false))) )
| ( vAPP($o,$o,f1,x) != $false )
| ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x))) != $false )
| ( $true != vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,$true)))) )
| ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x)))) != $true )
| ( $false = vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,$false)))) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f1438,plain,
( ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x))) != $false )
| ( $false != vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,$false))) )
| ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x)))) != $true )
| ( $true = vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,$false)))) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f1437,plain,
( ( vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,x)))) != $false )
| ( $true != vAPP($o,$o,f1,$false) )
| ( $false != vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,$false))) )
| ( $true != vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,$true)))) )
| ( vAPP($o,$o,f1,x) != $false )
| ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x)))) != $true )
| ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x))) != $false )
| ( $false = vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,$true))) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f1436,plain,
( ( vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,x)))) != $false )
| ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x)))) != $true )
| ( vAPP($o,$o,f1,x) != $false )
| ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x))) != $false )
| ( $true != vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,$true)))) )
| ( $true != vAPP($o,$o,f1,$false) )
| ( $false = vAPP($o,$o,f1,vAPP($o,$o,f1,$false)) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f1435,plain,
( ( vAPP($o,$o,f1,x) != $false )
| ( $true != vAPP($o,$o,f1,$false) )
| ( vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,x)))) != $false )
| ( $false = vAPP($o,$o,f0,vAPP($o,$o,f1,$true)) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f1434,plain,
( ( $true != vAPP($o,$o,f1,$false) )
| ( vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,x)))) != $false )
| ( vAPP($o,$o,f1,x) != $false )
| ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x)))) != $true )
| ( $false != vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,$false))) )
| ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x))) != $false )
| ( $true != vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,$true)))) )
| ( $true = vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,$false))) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f1433,plain,
( ( vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,x)))) != $false )
| ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x)))) != $true )
| ( $true != vAPP($o,$o,f1,$false) )
| ( vAPP($o,$o,f1,x) != $false )
| ( $false != vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,$false))) )
| ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x))) != $false )
| ( $true != vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,$true)))) )
| ( $true = vAPP($o,$o,f1,vAPP($o,$o,f1,$true)) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f1432,plain,
( ( vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,x)))) != $false )
| ( vAPP($o,$o,f1,x) != $false )
| ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x)))) != $true )
| ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x))) != $false )
| ( $true != vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,$true)))) )
| ( $true != vAPP($o,$o,f1,$false) )
| ( $true = vAPP($o,$o,f1,$true) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f1431,plain,
( ( $true != vAPP($o,$o,f1,$false) )
| ( vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,x)))) != $false )
| ( vAPP($o,$o,f1,x) != $false )
| ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x)))) != $true )
| ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x))) != $false )
| ( $true != vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,$true)))) )
| ( $true != vAPP($o,$o,f0,vAPP($o,$o,f0,$true)) )
| ( $false = vAPP($o,$o,f0,vAPP($o,$o,f0,$true)) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f1430,plain,
( ( vAPP($o,$o,f1,x) != $false )
| ( $false != vAPP($o,$o,f0,vAPP($o,$o,f1,$true)) )
| ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x)))) != $true )
| ( $true != vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,$true)))) )
| ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x))) != $false )
| ( $true = $false ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f1429,plain,
( ( vAPP($o,$o,f1,x) != $false )
| ( $false != vAPP($o,$o,f0,vAPP($o,$o,f1,$true)) )
| ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x)))) != $true )
| ( $true != vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,$true)))) )
| ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x))) != $false )
| ( vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,x)))) != $false )
| ( vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,x)))) = $true ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f1428,plain,
( ( vAPP($o,$o,f1,x) != $false )
| ( $false != vAPP($o,$o,f0,vAPP($o,$o,f1,$true)) )
| ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x)))) != $true )
| ( $true != vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,$true)))) )
| ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x))) != $false )
| ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x)))) = $false ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f1427,plain,
( ( vAPP($o,$o,f1,x) != $false )
| ( $false != vAPP($o,$o,f0,vAPP($o,$o,f1,$true)) )
| ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x)))) != $true )
| ( x != $true )
| ( $true != vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,$true)))) )
| ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x))) != $false )
| ( x = $false ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f1426,plain,
( ( $true != vAPP($o,$o,f0,vAPP($o,$o,f0,$true)) )
| ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x))) != $false )
| ( $false != vAPP($o,$o,f0,vAPP($o,$o,f1,$true)) )
| ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x)))) != $true )
| ( $true != vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,$true)))) )
| ( $true = vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,$true))) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f1425,plain,
( ( vAPP($o,$o,f1,x) != $false )
| ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x))) != $false )
| ( $false != vAPP($o,$o,f0,vAPP($o,$o,f1,$true)) )
| ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x)))) != $true )
| ( $true != vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,$true)))) )
| ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x))) = $true ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f1424,plain,
( ( $false != vAPP($o,$o,f0,vAPP($o,$o,f1,$true)) )
| ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x)))) != $true )
| ( $true != vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,$true)))) )
| ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x))) != $false )
| ( vAPP($o,$o,f1,x) != $false )
| ( vAPP($o,$o,f1,x) = $true ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f1423,plain,
( ( $false != vAPP($o,$o,f0,vAPP($o,$o,f1,$true)) )
| ( vAPP($o,$o,f1,x) != $false )
| ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x)))) != $true )
| ( $true != vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,$true)))) )
| ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x))) != $false )
| ( vAPP($o,$o,f0,vAPP($o,$o,f1,x)) = $false ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f1422,plain,
( ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x))) != $false )
| ( $false != vAPP($o,$o,f0,vAPP($o,$o,f1,$true)) )
| ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x)))) != $true )
| ( $true != vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,$true)))) )
| ( $true = vAPP($o,$o,f0,$true) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f1421,plain,
( ( vAPP($o,$o,f1,x) != $false )
| ( $false != vAPP($o,$o,f0,vAPP($o,$o,f1,$true)) )
| ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x)))) != $true )
| ( $true != vAPP($o,$o,f1,$false) )
| ( $true != vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,$true)))) )
| ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x))) != $false )
| ( $false = vAPP($o,$o,f1,$false) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f1420,plain,
( ( vAPP($o,$o,f1,x) != $false )
| ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x)))) != $true )
| ( $true != vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,$true)))) )
| ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x))) != $false )
| ( $false != vAPP($o,$o,f0,vAPP($o,$o,f1,$true)) )
| ( $true = vAPP($o,$o,f0,vAPP($o,$o,f1,$false)) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f1419,plain,
( ( vAPP($o,$o,f1,x) != $false )
| ( $false != vAPP($o,$o,f0,vAPP($o,$o,f1,$true)) )
| ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x)))) != $true )
| ( $true != vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,$true)))) )
| ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x))) != $false )
| ( $false != vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,$false)))) )
| ( $true = vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,$false)))) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f1418,plain,
( ( $false != vAPP($o,$o,f0,vAPP($o,$o,f1,$true)) )
| ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x)))) != $true )
| ( vAPP($o,$o,f1,x) != $false )
| ( $true != vAPP($o,$o,f1,$false) )
| ( $true != vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,$true)))) )
| ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x))) != $false )
| ( $false = vAPP($o,$o,f1,vAPP($o,$o,f1,$false)) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f1417,plain,
( ( vAPP($o,$o,f1,x) != $false )
| ( $false != vAPP($o,$o,f0,vAPP($o,$o,f1,$true)) )
| ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x)))) != $true )
| ( $true != vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,$false))) )
| ( $true != vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,$true)))) )
| ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x))) != $false )
| ( $false = vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,$false))) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f1416,plain,
( ( $false != vAPP($o,$o,f0,vAPP($o,$o,f1,$true)) )
| ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x)))) != $true )
| ( vAPP($o,$o,f1,x) != $false )
| ( $true != vAPP($o,$o,f1,$false) )
| ( $true != vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,$true)))) )
| ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x))) != $false )
| ( $false = vAPP($o,$o,f1,vAPP($o,$o,f1,$true)) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f1415,plain,
( ( vAPP($o,$o,f1,x) != $false )
| ( $false != vAPP($o,$o,f1,vAPP($o,$o,f1,$false)) )
| ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x))) != $false )
| ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x)))) != $true )
| ( vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,x)))) != $false )
| ( $true = $false ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f1414,plain,
( ( vAPP($o,$o,f1,x) != $false )
| ( $false != vAPP($o,$o,f1,vAPP($o,$o,f1,$false)) )
| ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x))) != $false )
| ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x)))) != $true )
| ( vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,x)))) = $true ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f1413,plain,
( ( vAPP($o,$o,f1,x) != $false )
| ( $false != vAPP($o,$o,f1,vAPP($o,$o,f1,$false)) )
| ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x))) != $false )
| ( vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,x)))) != $false )
| ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x)))) = $false ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f1412,plain,
( ( vAPP($o,$o,f1,x) != $false )
| ( $false != vAPP($o,$o,f1,vAPP($o,$o,f1,$false)) )
| ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x))) != $false )
| ( x != $true )
| ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x)))) != $true )
| ( vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,x)))) != $false )
| ( x = $false ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f1411,plain,
( ( vAPP($o,$o,f1,x) != $false )
| ( $false != vAPP($o,$o,f1,vAPP($o,$o,f1,$false)) )
| ( $true != vAPP($o,$o,f0,vAPP($o,$o,f0,$true)) )
| ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x)))) != $true )
| ( vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,x)))) != $false )
| ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x))) != $false )
| ( $true = vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,$true))) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f1410,plain,
( ( vAPP($o,$o,f1,x) != $false )
| ( $false != vAPP($o,$o,f1,vAPP($o,$o,f1,$false)) )
| ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x)))) != $true )
| ( vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,x)))) != $false )
| ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x))) != $false )
| ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x))) = $true ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f1409,plain,
( ( $false != vAPP($o,$o,f1,vAPP($o,$o,f1,$false)) )
| ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x))) != $false )
| ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x)))) != $true )
| ( vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,x)))) != $false )
| ( vAPP($o,$o,f1,x) != $false )
| ( vAPP($o,$o,f1,x) = $true ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f1408,plain,
( ( $false != vAPP($o,$o,f1,vAPP($o,$o,f1,$false)) )
| ( vAPP($o,$o,f1,x) != $false )
| ( vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,x)))) != $false )
| ( vAPP($o,$o,f0,vAPP($o,$o,f1,x)) = $false ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f1407,plain,
( ( vAPP($o,$o,f1,x) != $false )
| ( $false != vAPP($o,$o,f1,vAPP($o,$o,f1,$false)) )
| ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x)))) != $true )
| ( vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,x)))) != $false )
| ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x))) != $false )
| ( $true = vAPP($o,$o,f0,$true) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f1406,plain,
( ( vAPP($o,$o,f1,x) != $false )
| ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x))) != $false )
| ( $false != vAPP($o,$o,f1,vAPP($o,$o,f1,$false)) )
| ( $true != vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,$false))) )
| ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x)))) != $true )
| ( vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,x)))) != $false )
| ( $false = vAPP($o,$o,f1,$false) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f1405,plain,
( ( vAPP($o,$o,f1,x) != $false )
| ( $false != vAPP($o,$o,f1,vAPP($o,$o,f1,$false)) )
| ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x))) != $false )
| ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x)))) != $true )
| ( vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,x)))) != $false )
| ( $false != vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,$false)))) )
| ( $true = vAPP($o,$o,f0,vAPP($o,$o,f1,$false)) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f1404,plain,
( ( vAPP($o,$o,f1,x) != $false )
| ( $false != vAPP($o,$o,f1,vAPP($o,$o,f1,$false)) )
| ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x))) != $false )
| ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x)))) != $true )
| ( vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,x)))) != $false )
| ( $false != vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,$false)))) )
| ( $true = vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,$false)))) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f1403,plain,
( ( vAPP($o,$o,f1,x) != $false )
| ( $false != vAPP($o,$o,f1,vAPP($o,$o,f1,$false)) )
| ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x))) != $false )
| ( $true != vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,$false))) )
| ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x)))) != $true )
| ( vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,x)))) != $false )
| ( $false = vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,$false))) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f1402,plain,
( ( vAPP($o,$o,f1,x) != $false )
| ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x))) != $false )
| ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x)))) != $true )
| ( vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,x)))) != $false )
| ( $false != vAPP($o,$o,f1,vAPP($o,$o,f1,$false)) )
| ( $false = vAPP($o,$o,f1,vAPP($o,$o,f1,$true)) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f1401,plain,
( ( vAPP($o,$o,f1,x) != $true )
| ( vAPP($o,$o,f1,x) != $false )
| ( $true = $false ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f1400,plain,
( ( vAPP($o,$o,f1,x) != $true )
| ( vAPP($o,$o,f1,x) != $false )
| ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x)))) != $false )
| ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x)))) = $true ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f1399,plain,
( ( vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,x)))) != $true )
| ( vAPP($o,$o,f1,x) != $true )
| ( vAPP($o,$o,f1,x) != $false )
| ( vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,x)))) = $false ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f1398,plain,
( ( x != $false )
| ( vAPP($o,$o,f1,x) != $true )
| ( vAPP($o,$o,f1,x) != $false )
| ( vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,x)))) != $true )
| ( $true = vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,$true)))) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f1397,plain,
( ( x != $false )
| ( vAPP($o,$o,f1,x) != $true )
| ( vAPP($o,$o,f1,x) != $false )
| ( vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,x)))) != $true )
| ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x))) = $true ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f1396,plain,
( ( x != $false )
| ( vAPP($o,$o,f1,x) != $false )
| ( vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,x)))) != $true )
| ( vAPP($o,$o,f0,vAPP($o,$o,f1,x)) = $true ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f1395,plain,
( ( x != $false )
| ( vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,x)))) != $true )
| ( vAPP($o,$o,f1,x) != $true )
| ( vAPP($o,$o,f1,x) != $false )
| ( $false = vAPP($o,$o,f0,$true) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f1394,plain,
( ( x != $false )
| ( vAPP($o,$o,f1,x) != $false )
| ( $false = vAPP($o,$o,f1,$false) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f1393,plain,
( ( vAPP($o,$o,f1,x) != $false )
| ( x != $false )
| ( vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,x)))) != $true )
| ( $true = vAPP($o,$o,f0,vAPP($o,$o,f1,$false)) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f1392,plain,
( ( x != $false )
| ( vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,x)))) != $true )
| ( vAPP($o,$o,f1,x) != $true )
| ( vAPP($o,$o,f1,x) != $false )
| ( $false = vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,$false)))) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f1391,plain,
( ( x != $false )
| ( vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,x)))) != $true )
| ( vAPP($o,$o,f1,x) != $true )
| ( vAPP($o,$o,f1,x) != $false )
| ( $false = vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,$true))) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f1390,plain,
( ( x != $false )
| ( vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,x)))) != $true )
| ( vAPP($o,$o,f1,x) != $true )
| ( vAPP($o,$o,f1,x) != $false )
| ( $false = vAPP($o,$o,f0,vAPP($o,$o,f1,$true)) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f1389,plain,
( ( x != $false )
| ( vAPP($o,$o,f1,x) != $false )
| ( $false = vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,$false))) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f1388,plain,
( ( x != $false )
| ( vAPP($o,$o,f1,x) != $true )
| ( vAPP($o,$o,f1,x) != $false )
| ( $false = vAPP($o,$o,f1,vAPP($o,$o,f1,$true)) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f1387,plain,
( ( x != $false )
| ( vAPP($o,$o,f1,x) != $false )
| ( vAPP($o,$o,f1,x) != $true )
| ( $true = vAPP($o,$o,f1,$true) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f1386,plain,
( ( x != $false )
| ( vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,x)))) != $true )
| ( vAPP($o,$o,f1,x) != $true )
| ( vAPP($o,$o,f1,x) != $false )
| ( $false = vAPP($o,$o,f0,vAPP($o,$o,f1,$false)) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f1385,plain,
( ( x != $false )
| ( vAPP($o,$o,f1,x) != $false )
| ( vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,x)))) != $true )
| ( $true = vAPP($o,$o,f0,$false) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f1384,plain,
( ( x != $false )
| ( vAPP($o,$o,f1,x) != $false )
| ( vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,x)))) != $true )
| ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x)))) != $false )
| ( $false = vAPP($o,$o,f0,vAPP($o,$o,f0,$true)) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f1383,plain,
( ( vAPP($o,$o,f1,x) != $false )
| ( $true != vAPP($o,$o,f1,$false) )
| ( vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,x)))) != $true )
| ( $false != vAPP($o,$o,f0,vAPP($o,$o,f1,$true)) )
| ( $true = $false ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f1382,plain,
( ( vAPP($o,$o,f1,x) != $false )
| ( $true != vAPP($o,$o,f1,$false) )
| ( vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,x)))) != $true )
| ( $false != vAPP($o,$o,f0,vAPP($o,$o,f1,$true)) )
| ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x)))) != $false )
| ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x)))) = $true ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f1381,plain,
( ( vAPP($o,$o,f1,x) != $false )
| ( $true != vAPP($o,$o,f1,$false) )
| ( $false != vAPP($o,$o,f0,vAPP($o,$o,f1,$true)) )
| ( vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,x)))) = $false ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f1380,plain,
( ( vAPP($o,$o,f1,x) != $false )
| ( $true != vAPP($o,$o,f1,$false) )
| ( x != $true )
| ( vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,x)))) != $true )
| ( $false != vAPP($o,$o,f0,vAPP($o,$o,f1,$true)) )
| ( x = $false ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f1379,plain,
( ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x))) != $false )
| ( vAPP($o,$o,f1,x) != $false )
| ( $true != vAPP($o,$o,f1,$false) )
| ( vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,x)))) != $true )
| ( $false != vAPP($o,$o,f0,vAPP($o,$o,f1,$true)) )
| ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x)))) != $false )
| ( $true = vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,$true)))) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f1378,plain,
( ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x))) != $false )
| ( vAPP($o,$o,f1,x) != $false )
| ( $true != vAPP($o,$o,f1,$false) )
| ( $false != vAPP($o,$o,f0,$true) )
| ( vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,x)))) != $true )
| ( $false != vAPP($o,$o,f0,vAPP($o,$o,f1,$true)) )
| ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x)))) != $false )
| ( $true = vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,$true))) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f1377,plain,
( ( vAPP($o,$o,f1,x) != $false )
| ( $true != vAPP($o,$o,f1,$false) )
| ( vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,x)))) != $true )
| ( $false != vAPP($o,$o,f0,vAPP($o,$o,f1,$true)) )
| ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x))) != $false )
| ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x))) = $true ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f1376,plain,
( ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x))) != $false )
| ( vAPP($o,$o,f1,x) != $false )
| ( $true != vAPP($o,$o,f1,$false) )
| ( $false != vAPP($o,$o,f0,$true) )
| ( vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,x)))) != $true )
| ( $false != vAPP($o,$o,f0,vAPP($o,$o,f1,$true)) )
| ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x)))) != $false )
| ( $true = vAPP($o,$o,f0,vAPP($o,$o,f0,$true)) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f1375,plain,
( ( $true != vAPP($o,$o,f1,$false) )
| ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x))) != $false )
| ( vAPP($o,$o,f1,x) != $false )
| ( vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,x)))) != $true )
| ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x)))) != $false )
| ( $false != vAPP($o,$o,f0,vAPP($o,$o,f1,$true)) )
| ( vAPP($o,$o,f0,vAPP($o,$o,f1,x)) = $true ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f1374,plain,
( ( vAPP($o,$o,f1,x) != $false )
| ( $true != vAPP($o,$o,f1,$false) )
| ( vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,x)))) != $true )
| ( $false != vAPP($o,$o,f0,vAPP($o,$o,f1,$true)) )
| ( $false != vAPP($o,$o,f0,$true) )
| ( $true = vAPP($o,$o,f0,$true) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f1373,plain,
( ( vAPP($o,$o,f1,x) != $false )
| ( $true != vAPP($o,$o,f1,$false) )
| ( vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,x)))) != $true )
| ( $false != vAPP($o,$o,f0,vAPP($o,$o,f1,$true)) )
| ( $false = vAPP($o,$o,f1,$false) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f1372,plain,
( ( vAPP($o,$o,f1,x) != $false )
| ( $true != vAPP($o,$o,f1,$false) )
| ( vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,x)))) != $true )
| ( $false != vAPP($o,$o,f0,vAPP($o,$o,f1,$true)) )
| ( $false != vAPP($o,$o,f0,$true) )
| ( $true = vAPP($o,$o,f0,vAPP($o,$o,f1,$false)) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f1371,plain,
( ( vAPP($o,$o,f1,x) != $false )
| ( $true != vAPP($o,$o,f1,$false) )
| ( vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,x)))) != $true )
| ( $false != vAPP($o,$o,f0,vAPP($o,$o,f1,$true)) )
| ( $false != vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,$false)))) )
| ( $true = vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,$false)))) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f1370,plain,
( ( vAPP($o,$o,f1,x) != $false )
| ( $true != vAPP($o,$o,f1,$false) )
| ( $true != vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,$false))) )
| ( vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,x)))) != $true )
| ( $false != vAPP($o,$o,f0,vAPP($o,$o,f1,$true)) )
| ( $false = vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,$false))) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f1369,plain,
( ( $true != vAPP($o,$o,f1,$false) )
| ( vAPP($o,$o,f1,x) != $false )
| ( $true != vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,$false))) )
| ( vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,x)))) != $true )
| ( $false != vAPP($o,$o,f0,vAPP($o,$o,f1,$true)) )
| ( $false = vAPP($o,$o,f1,vAPP($o,$o,f1,$true)) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f1368,plain,
( ( vAPP($o,$o,f1,x) != $false )
| ( vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,x)))) != $true )
| ( $false != vAPP($o,$o,f0,vAPP($o,$o,f1,$true)) )
| ( $true != vAPP($o,$o,f1,$false) )
| ( $true = vAPP($o,$o,f1,$true) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f1367,plain,
( ( $true != vAPP($o,$o,f1,$false) )
| ( $false != vAPP($o,$o,f0,$true) )
| ( $false = vAPP($o,$o,f0,vAPP($o,$o,f1,$false)) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f1366,plain,
( ( vAPP($o,$o,f1,x) != $false )
| ( $true != vAPP($o,$o,f1,$false) )
| ( vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,x)))) != $true )
| ( $true = vAPP($o,$o,f0,vAPP($o,$o,f1,$true)) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f1365,plain,
( ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x))) != $false )
| ( $false != vAPP($o,$o,f0,vAPP($o,$o,f1,$true)) )
| ( $true != vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,$true)))) )
| ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x)))) != $false )
| ( $true = $false ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f1364,plain,
( ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x))) != $false )
| ( $false != vAPP($o,$o,f0,vAPP($o,$o,f1,$true)) )
| ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x)))) != $false )
| ( $true != vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,$true)))) )
| ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x)))) = $true ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f1363,plain,
( ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x))) != $false )
| ( $false != vAPP($o,$o,f0,vAPP($o,$o,f1,$true)) )
| ( vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,x)))) != $true )
| ( $true != vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,$true)))) )
| ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x)))) != $false )
| ( vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,x)))) = $false ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f1362,plain,
( ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x))) != $false )
| ( $false != vAPP($o,$o,f0,vAPP($o,$o,f1,$true)) )
| ( x != $true )
| ( $true != vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,$true)))) )
| ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x)))) != $false )
| ( x = $false ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f1361,plain,
( ( $false != vAPP($o,$o,f0,$true) )
| ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x))) != $false )
| ( $false != vAPP($o,$o,f0,vAPP($o,$o,f1,$true)) )
| ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x)))) != $false )
| ( $true != vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,$true)))) )
| ( $true = vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,$true))) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f1360,plain,
( ( $false != vAPP($o,$o,f0,vAPP($o,$o,f1,$true)) )
| ( $true != vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,$true)))) )
| ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x)))) != $false )
| ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x))) != $false )
| ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x))) = $true ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f1359,plain,
( ( $false != vAPP($o,$o,f0,$true) )
| ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x))) != $false )
| ( $false != vAPP($o,$o,f0,vAPP($o,$o,f1,$true)) )
| ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x)))) != $false )
| ( $true != vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,$true)))) )
| ( $true = vAPP($o,$o,f0,vAPP($o,$o,f0,$true)) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f1358,plain,
( ( vAPP($o,$o,f1,x) != $false )
| ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x))) != $false )
| ( $false != vAPP($o,$o,f0,vAPP($o,$o,f1,$true)) )
| ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x)))) != $false )
| ( $true != vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,$true)))) )
| ( vAPP($o,$o,f0,vAPP($o,$o,f1,x)) = $true ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f1357,plain,
( ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x))) != $false )
| ( $false != vAPP($o,$o,f0,vAPP($o,$o,f1,$true)) )
| ( $true != vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,$true)))) )
| ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x)))) != $false )
| ( $false != vAPP($o,$o,f0,$true) )
| ( $true = vAPP($o,$o,f0,$true) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f1356,plain,
( ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x))) != $false )
| ( $false != vAPP($o,$o,f0,vAPP($o,$o,f1,$true)) )
| ( $true != vAPP($o,$o,f1,$false) )
| ( $true != vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,$true)))) )
| ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x)))) != $false )
| ( $false = vAPP($o,$o,f1,$false) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f1355,plain,
( ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x))) != $false )
| ( $true != vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,$true)))) )
| ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x)))) != $false )
| ( $false != vAPP($o,$o,f0,vAPP($o,$o,f1,$true)) )
| ( $true = vAPP($o,$o,f0,vAPP($o,$o,f1,$false)) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f1354,plain,
( ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x))) != $false )
| ( $false != vAPP($o,$o,f0,vAPP($o,$o,f1,$true)) )
| ( $true != vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,$true)))) )
| ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x)))) != $false )
| ( $false != vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,$false)))) )
| ( $true = vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,$false)))) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f1353,plain,
( ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x))) != $false )
| ( $false != vAPP($o,$o,f0,vAPP($o,$o,f1,$true)) )
| ( $true != vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,$false))) )
| ( $true != vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,$true)))) )
| ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x)))) != $false )
| ( $false = vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,$false))) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f1352,plain,
( ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x))) != $false )
| ( $false != vAPP($o,$o,f0,vAPP($o,$o,f1,$true)) )
| ( vAPP($o,$o,f1,x) != $false )
| ( $true != vAPP($o,$o,f1,$false) )
| ( $true != vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,$true)))) )
| ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x)))) != $false )
| ( $false = vAPP($o,$o,f1,vAPP($o,$o,f1,$true)) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f1351,plain,
( ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x))) != $false )
| ( $false != vAPP($o,$o,f0,vAPP($o,$o,f1,$true)) )
| ( $true != vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,$true)))) )
| ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x)))) != $false )
| ( $true != vAPP($o,$o,f1,$false) )
| ( $true = vAPP($o,$o,f1,$true) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f1350,plain,
( ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x))) != $false )
| ( $true != vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,$true)))) )
| ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x)))) != $false )
| ( $false != vAPP($o,$o,f0,vAPP($o,$o,f1,$true)) )
| ( $false = vAPP($o,$o,f0,vAPP($o,$o,f1,$false)) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f1349,plain,
( ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x))) != $false )
| ( $true != vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,$true)))) )
| ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x)))) != $false )
| ( $false != vAPP($o,$o,f0,vAPP($o,$o,f1,$true)) )
| ( $true = vAPP($o,$o,f0,vAPP($o,$o,f1,$true)) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f1348,plain,
( ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x))) != $false )
| ( $false != vAPP($o,$o,f0,$true) )
| ( $true != vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,$true))) )
| ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x)))) != $false )
| ( $true = $false ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f1347,plain,
( ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x))) != $false )
| ( $false != vAPP($o,$o,f0,$true) )
| ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x)))) != $false )
| ( $true != vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,$true))) )
| ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x)))) = $true ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f1346,plain,
( ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x))) != $false )
| ( $false != vAPP($o,$o,f0,$true) )
| ( vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,x)))) != $true )
| ( $true != vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,$true))) )
| ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x)))) != $false )
| ( vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,x)))) = $false ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f1345,plain,
( ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x))) != $false )
| ( $false != vAPP($o,$o,f0,$true) )
| ( x != $true )
| ( $true != vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,$true))) )
| ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x)))) != $false )
| ( x = $false ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f1344,plain,
( ( $false != vAPP($o,$o,f0,$true) )
| ( $true != vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,$true))) )
| ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x)))) != $false )
| ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x))) != $false )
| ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x))) = $true ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f1343,plain,
( ( $false != vAPP($o,$o,f0,$true) )
| ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x))) != $false )
| ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x)))) != $false )
| ( $true != vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,$true))) )
| ( $true = vAPP($o,$o,f0,vAPP($o,$o,f0,$true)) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f1342,plain,
( ( vAPP($o,$o,f1,x) != $false )
| ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x))) != $false )
| ( $false != vAPP($o,$o,f0,$true) )
| ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x)))) != $false )
| ( $true != vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,$true))) )
| ( vAPP($o,$o,f0,vAPP($o,$o,f1,x)) = $true ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f1341,plain,
( ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x))) != $false )
| ( $true != vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,$true))) )
| ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x)))) != $false )
| ( $false != vAPP($o,$o,f0,$true) )
| ( $true = vAPP($o,$o,f0,$true) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f1340,plain,
( ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x))) != $false )
| ( $false != vAPP($o,$o,f0,$true) )
| ( $true != vAPP($o,$o,f1,$false) )
| ( $true != vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,$true))) )
| ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x)))) != $false )
| ( $false = vAPP($o,$o,f1,$false) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f1339,plain,
( ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x))) != $false )
| ( $false != vAPP($o,$o,f0,$true) )
| ( $true != vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,$true))) )
| ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x)))) != $false )
| ( $false != vAPP($o,$o,f0,vAPP($o,$o,f1,$true)) )
| ( $true = vAPP($o,$o,f0,vAPP($o,$o,f1,$false)) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f1338,plain,
( ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x))) != $false )
| ( $false != vAPP($o,$o,f0,$true) )
| ( $true != vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,$true))) )
| ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x)))) != $false )
| ( $false != vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,$false)))) )
| ( $true = vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,$false)))) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f1337,plain,
( ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x))) != $false )
| ( $false != vAPP($o,$o,f0,$true) )
| ( $true != vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,$false))) )
| ( $true != vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,$true))) )
| ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x)))) != $false )
| ( $false = vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,$false))) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f1336,plain,
( ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x))) != $false )
| ( $false != vAPP($o,$o,f0,$true) )
| ( vAPP($o,$o,f1,x) != $false )
| ( $true != vAPP($o,$o,f1,$false) )
| ( $true != vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,$true))) )
| ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x)))) != $false )
| ( $false = vAPP($o,$o,f1,vAPP($o,$o,f1,$true)) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f1335,plain,
( ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x))) != $false )
| ( $false != vAPP($o,$o,f0,$true) )
| ( $true != vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,$true))) )
| ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x)))) != $false )
| ( $true != vAPP($o,$o,f1,$false) )
| ( $true = vAPP($o,$o,f1,$true) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f1334,plain,
( ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x))) != $false )
| ( $false != vAPP($o,$o,f0,$true) )
| ( $true != vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,$true))) )
| ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x)))) != $false )
| ( $false != vAPP($o,$o,f0,vAPP($o,$o,f1,$true)) )
| ( $false = vAPP($o,$o,f0,vAPP($o,$o,f1,$false)) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f1333,plain,
( ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x))) != $false )
| ( $false != vAPP($o,$o,f0,$true) )
| ( $true != vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,$true))) )
| ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x)))) != $false )
| ( $false != vAPP($o,$o,f0,vAPP($o,$o,f1,$true)) )
| ( $true = vAPP($o,$o,f0,vAPP($o,$o,f1,$true)) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f1332,plain,
( ( vAPP($o,$o,f1,x) != $false )
| ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x))) != $true )
| ( vAPP($o,$o,f0,vAPP($o,$o,f1,x)) != $false )
| ( $true = $false ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f1331,plain,
( ( vAPP($o,$o,f1,x) != $false )
| ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x))) != $true )
| ( vAPP($o,$o,f0,vAPP($o,$o,f1,x)) != $false )
| ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x)))) != $false )
| ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x)))) = $true ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f1330,plain,
( ( vAPP($o,$o,f1,x) != $false )
| ( vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,x)))) != $true )
| ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x))) != $true )
| ( vAPP($o,$o,f0,vAPP($o,$o,f1,x)) != $false )
| ( vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,x)))) = $false ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f1329,plain,
( ( vAPP($o,$o,f1,x) != $false )
| ( x != $true )
| ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x))) != $true )
| ( vAPP($o,$o,f0,vAPP($o,$o,f1,x)) != $false )
| ( x = $false ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f1328,plain,
( ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x)))) != $false )
| ( vAPP($o,$o,f0,vAPP($o,$o,f1,x)) != $false )
| ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x))) != $true )
| ( $true = vAPP($o,$o,f0,vAPP($o,$o,f0,$true)) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f1327,plain,
( ( vAPP($o,$o,f1,x) != $false )
| ( vAPP($o,$o,f0,vAPP($o,$o,f1,x)) != $false )
| ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x))) = $false ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f1326,plain,
( ( vAPP($o,$o,f1,x) != $false )
| ( vAPP($o,$o,f0,vAPP($o,$o,f1,x)) != $false )
| ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x))) != $true )
| ( vAPP($o,$o,f0,vAPP($o,$o,f1,x)) = $true ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f1325,plain,
( ( vAPP($o,$o,f1,x) != $false )
| ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x))) != $true )
| ( vAPP($o,$o,f0,vAPP($o,$o,f1,x)) != $false )
| ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x)))) != $false )
| ( $true = vAPP($o,$o,f0,$true) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f1324,plain,
( ( vAPP($o,$o,f1,x) != $false )
| ( $true != vAPP($o,$o,f1,$false) )
| ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x))) != $true )
| ( vAPP($o,$o,f0,vAPP($o,$o,f1,x)) != $false )
| ( $false = vAPP($o,$o,f1,$false) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f1323,plain,
( ( vAPP($o,$o,f1,x) != $false )
| ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x))) != $true )
| ( vAPP($o,$o,f0,vAPP($o,$o,f1,x)) != $false )
| ( $false != vAPP($o,$o,f0,vAPP($o,$o,f1,$true)) )
| ( $true = vAPP($o,$o,f0,vAPP($o,$o,f1,$false)) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f1322,plain,
( ( vAPP($o,$o,f1,x) != $false )
| ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x))) != $true )
| ( vAPP($o,$o,f0,vAPP($o,$o,f1,x)) != $false )
| ( $false != vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,$false)))) )
| ( $true = vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,$false)))) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f1321,plain,
( ( vAPP($o,$o,f1,x) != $false )
| ( $true != vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,$false))) )
| ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x))) != $true )
| ( vAPP($o,$o,f0,vAPP($o,$o,f1,x)) != $false )
| ( $false = vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,$false))) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f1320,plain,
( ( vAPP($o,$o,f1,x) != $false )
| ( $true != vAPP($o,$o,f1,$false) )
| ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x))) != $true )
| ( vAPP($o,$o,f0,vAPP($o,$o,f1,x)) != $false )
| ( $false = vAPP($o,$o,f1,vAPP($o,$o,f1,$true)) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f1319,plain,
( ( vAPP($o,$o,f1,x) != $false )
| ( vAPP($o,$o,f0,vAPP($o,$o,f1,x)) != $false )
| ( $false = vAPP($o,$o,f0,$false) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f1318,plain,
( ( vAPP($o,$o,f1,x) != $false )
| ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x))) != $true )
| ( vAPP($o,$o,f0,vAPP($o,$o,f1,x)) != $false )
| ( $true != vAPP($o,$o,f1,$false) )
| ( $true = vAPP($o,$o,f1,$true) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f1317,plain,
( ( vAPP($o,$o,f1,x) != $false )
| ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x))) != $true )
| ( vAPP($o,$o,f0,vAPP($o,$o,f1,x)) != $false )
| ( $false != vAPP($o,$o,f0,vAPP($o,$o,f1,$true)) )
| ( $false = vAPP($o,$o,f0,vAPP($o,$o,f1,$false)) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f1316,plain,
( ( vAPP($o,$o,f1,x) != $false )
| ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x))) != $true )
| ( vAPP($o,$o,f0,vAPP($o,$o,f1,x)) != $false )
| ( $false != vAPP($o,$o,f0,vAPP($o,$o,f1,$true)) )
| ( $true = vAPP($o,$o,f0,vAPP($o,$o,f1,$true)) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f1315,plain,
( ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x))) != $true )
| ( x != $true )
| ( $true != vAPP($o,$o,f1,$true) )
| ( vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,x)))) != $false )
| ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x)))) != $true )
| ( $true = $false ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f1314,plain,
( ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x))) != $true )
| ( x != $true )
| ( $true != vAPP($o,$o,f1,$true) )
| ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x)))) != $true )
| ( vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,x)))) = $true ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f1313,plain,
( ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x))) != $true )
| ( x != $true )
| ( $true != vAPP($o,$o,f1,$true) )
| ( vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,x)))) != $false )
| ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x)))) = $false ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f1312,plain,
( ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x))) != $true )
| ( $true != vAPP($o,$o,f1,$true) )
| ( vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,x)))) != $false )
| ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x)))) != $true )
| ( x != $true )
| ( x = $false ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f1311,plain,
( ( x != $true )
| ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x))) != $true )
| ( vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,x)))) != $false )
| ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x)))) != $true )
| ( $true != vAPP($o,$o,f1,$true) )
| ( vAPP($o,$o,f1,x) = $false ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f1310,plain,
( ( x != $true )
| ( $true != vAPP($o,$o,f1,$true) )
| ( vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,x)))) != $false )
| ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x)))) != $true )
| ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x))) != $true )
| ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x))) = $false ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f1309,plain,
( ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x))) != $true )
| ( x != $true )
| ( $true != vAPP($o,$o,f1,$true) )
| ( vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,x)))) != $false )
| ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x)))) != $true )
| ( vAPP($o,$o,f0,vAPP($o,$o,f1,x)) != $true )
| ( vAPP($o,$o,f0,vAPP($o,$o,f1,x)) = $false ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f1308,plain,
( ( x != $true )
| ( $true != vAPP($o,$o,f1,$true) )
| ( vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,x)))) != $false )
| ( $false = vAPP($o,$o,f0,$true) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f1307,plain,
( ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x))) != $true )
| ( x != $true )
| ( $true != vAPP($o,$o,f1,$true) )
| ( vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,x)))) != $false )
| ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x)))) != $true )
| ( $true != vAPP($o,$o,f1,$false) )
| ( $false = vAPP($o,$o,f1,$false) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f1306,plain,
( ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x))) != $true )
| ( x != $true )
| ( $true != vAPP($o,$o,f1,$true) )
| ( vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,x)))) != $false )
| ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x)))) != $true )
| ( $true != vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,$false)))) )
| ( $false = vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,$false)))) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f1305,plain,
( ( $true != vAPP($o,$o,f1,$false) )
| ( $true != vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,$false))) )
| ( x != $true )
| ( $true != vAPP($o,$o,f1,$true) )
| ( vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,x)))) != $false )
| ( $false = vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,$true))) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f1304,plain,
( ( $true != vAPP($o,$o,f1,$false) )
| ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x))) != $true )
| ( x != $true )
| ( vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,x)))) != $false )
| ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x)))) != $true )
| ( $true != vAPP($o,$o,f1,$true) )
| ( $false = vAPP($o,$o,f1,vAPP($o,$o,f1,$false)) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f1303,plain,
( ( x != $true )
| ( $true != vAPP($o,$o,f1,$true) )
| ( vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,x)))) != $false )
| ( $false = vAPP($o,$o,f0,vAPP($o,$o,f1,$true)) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f1302,plain,
( ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x))) != $true )
| ( x != $true )
| ( $true != vAPP($o,$o,f1,$true) )
| ( vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,x)))) != $false )
| ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x)))) != $true )
| ( $true != vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,$false))) )
| ( $false = vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,$false))) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f1301,plain,
( ( $true != vAPP($o,$o,f1,$false) )
| ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x))) != $true )
| ( x != $true )
| ( $true != vAPP($o,$o,f1,$true) )
| ( vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,x)))) != $false )
| ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x)))) != $true )
| ( $true != vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,$false))) )
| ( $false = vAPP($o,$o,f1,vAPP($o,$o,f1,$true)) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f1300,plain,
( ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x))) != $true )
| ( x != $true )
| ( $true != vAPP($o,$o,f1,$true) )
| ( vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,x)))) != $false )
| ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x)))) != $true )
| ( $true != vAPP($o,$o,f0,$false) )
| ( $false = vAPP($o,$o,f0,$false) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f1299,plain,
( ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x))) != $true )
| ( x != $true )
| ( vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,x)))) != $false )
| ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x)))) != $true )
| ( $true != vAPP($o,$o,f1,$true) )
| ( $false = vAPP($o,$o,f1,$true) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f1298,plain,
( ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x))) != $true )
| ( x != $true )
| ( $true != vAPP($o,$o,f1,$true) )
| ( vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,x)))) != $false )
| ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x)))) != $true )
| ( $true != vAPP($o,$o,f0,vAPP($o,$o,f1,$false)) )
| ( $false = vAPP($o,$o,f0,vAPP($o,$o,f1,$false)) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f1297,plain,
( ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x))) != $true )
| ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x)))) != $true )
| ( x != $true )
| ( $true != vAPP($o,$o,f1,$true) )
| ( vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,x)))) != $false )
| ( $false = vAPP($o,$o,f0,vAPP($o,$o,f0,$true)) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f1296,plain,
( ( $false != vAPP($o,$o,f0,vAPP($o,$o,f1,$false)) )
| ( $true != vAPP($o,$o,f0,vAPP($o,$o,f1,$false)) )
| ( $true = $false ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f1295,plain,
( ( vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,x)))) != $false )
| ( $false != vAPP($o,$o,f0,vAPP($o,$o,f1,$false)) )
| ( $true != vAPP($o,$o,f0,vAPP($o,$o,f1,$false)) )
| ( vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,x)))) = $true ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f1294,plain,
( ( $false != vAPP($o,$o,f0,vAPP($o,$o,f1,$false)) )
| ( $true != vAPP($o,$o,f0,vAPP($o,$o,f1,$false)) )
| ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x)))) != $true )
| ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x)))) = $false ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f1293,plain,
( ( $false != vAPP($o,$o,f0,vAPP($o,$o,f1,$false)) )
| ( $true != vAPP($o,$o,f0,vAPP($o,$o,f1,$false)) )
| ( x != $true )
| ( x = $false ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f1292,plain,
( ( x != $true )
| ( $false != vAPP($o,$o,f0,vAPP($o,$o,f1,$false)) )
| ( $true != vAPP($o,$o,f1,$true) )
| ( $true != vAPP($o,$o,f0,vAPP($o,$o,f1,$false)) )
| ( vAPP($o,$o,f1,x) = $false ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f1291,plain,
( ( $false != vAPP($o,$o,f0,vAPP($o,$o,f1,$false)) )
| ( $true != vAPP($o,$o,f0,vAPP($o,$o,f1,$false)) )
| ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x))) != $true )
| ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x))) = $false ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f1290,plain,
( ( $false != vAPP($o,$o,f0,vAPP($o,$o,f1,$false)) )
| ( $true != vAPP($o,$o,f0,vAPP($o,$o,f1,$false)) )
| ( vAPP($o,$o,f0,vAPP($o,$o,f1,x)) != $true )
| ( vAPP($o,$o,f0,vAPP($o,$o,f1,x)) = $false ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f1289,plain,
( ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x))) != $true )
| ( $false != vAPP($o,$o,f0,vAPP($o,$o,f1,$false)) )
| ( $true != vAPP($o,$o,f0,vAPP($o,$o,f1,$false)) )
| ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x)))) != $true )
| ( $false = vAPP($o,$o,f0,$true) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f1288,plain,
( ( $false != vAPP($o,$o,f0,vAPP($o,$o,f1,$false)) )
| ( $true != vAPP($o,$o,f0,vAPP($o,$o,f1,$false)) )
| ( $true != vAPP($o,$o,f1,$false) )
| ( $false = vAPP($o,$o,f1,$false) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f1287,plain,
( ( $false != vAPP($o,$o,f0,vAPP($o,$o,f1,$false)) )
| ( $true != vAPP($o,$o,f0,vAPP($o,$o,f1,$false)) )
| ( $true != vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,$false)))) )
| ( $false = vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,$false)))) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f1286,plain,
( ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x))) != $true )
| ( $true != vAPP($o,$o,f1,$false) )
| ( $true != vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,$false))) )
| ( $false != vAPP($o,$o,f0,vAPP($o,$o,f1,$false)) )
| ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x)))) != $true )
| ( $true != vAPP($o,$o,f0,vAPP($o,$o,f1,$false)) )
| ( $false = vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,$true))) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f1285,plain,
( ( $true != vAPP($o,$o,f1,$false) )
| ( $false != vAPP($o,$o,f0,vAPP($o,$o,f1,$false)) )
| ( $true != vAPP($o,$o,f0,vAPP($o,$o,f1,$false)) )
| ( $true != vAPP($o,$o,f1,$true) )
| ( $false = vAPP($o,$o,f1,vAPP($o,$o,f1,$false)) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f1284,plain,
( ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x))) != $true )
| ( $true != vAPP($o,$o,f1,$true) )
| ( $false != vAPP($o,$o,f0,vAPP($o,$o,f1,$false)) )
| ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x)))) != $true )
| ( $true != vAPP($o,$o,f0,vAPP($o,$o,f1,$false)) )
| ( $false = vAPP($o,$o,f0,vAPP($o,$o,f1,$true)) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f1283,plain,
( ( $false != vAPP($o,$o,f0,vAPP($o,$o,f1,$false)) )
| ( $true != vAPP($o,$o,f0,vAPP($o,$o,f1,$false)) )
| ( $true != vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,$false))) )
| ( $false = vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,$false))) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f1282,plain,
( ( $true != vAPP($o,$o,f1,$false) )
| ( $false != vAPP($o,$o,f0,vAPP($o,$o,f1,$false)) )
| ( $true != vAPP($o,$o,f0,vAPP($o,$o,f1,$false)) )
| ( $true != vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,$false))) )
| ( $false = vAPP($o,$o,f1,vAPP($o,$o,f1,$true)) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f1281,plain,
( ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x))) != $true )
| ( $false != vAPP($o,$o,f0,vAPP($o,$o,f1,$false)) )
| ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x)))) != $true )
| ( $true != vAPP($o,$o,f0,vAPP($o,$o,f1,$false)) )
| ( $false = vAPP($o,$o,f0,$false) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f1280,plain,
( ( $false != vAPP($o,$o,f0,vAPP($o,$o,f1,$false)) )
| ( $true != vAPP($o,$o,f0,vAPP($o,$o,f1,$false)) )
| ( $true != vAPP($o,$o,f1,$true) )
| ( $false = vAPP($o,$o,f1,$true) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f1279,plain,
( ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x))) != $true )
| ( $false != vAPP($o,$o,f0,vAPP($o,$o,f1,$false)) )
| ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x)))) != $true )
| ( $true != vAPP($o,$o,f0,vAPP($o,$o,f1,$false)) )
| ( $false = vAPP($o,$o,f0,vAPP($o,$o,f0,$true)) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f1278,plain,
( ( vAPP($o,$o,f0,vAPP($o,$o,f1,x)) != $false )
| ( vAPP($o,$o,f0,vAPP($o,$o,f1,x)) != $true )
| ( $true = $false ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f1277,plain,
( ( vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,x)))) != $false )
| ( vAPP($o,$o,f0,vAPP($o,$o,f1,x)) != $false )
| ( vAPP($o,$o,f0,vAPP($o,$o,f1,x)) != $true )
| ( vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,x)))) = $true ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f1276,plain,
( ( vAPP($o,$o,f0,vAPP($o,$o,f1,x)) != $false )
| ( vAPP($o,$o,f0,vAPP($o,$o,f1,x)) != $true )
| ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x)))) != $true )
| ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x)))) = $false ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f1275,plain,
( ( vAPP($o,$o,f0,vAPP($o,$o,f1,x)) != $false )
| ( vAPP($o,$o,f0,vAPP($o,$o,f1,x)) != $true )
| ( x != $true )
| ( x = $false ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f1274,plain,
( ( x != $true )
| ( vAPP($o,$o,f0,vAPP($o,$o,f1,x)) != $false )
| ( $true != vAPP($o,$o,f1,$false) )
| ( vAPP($o,$o,f0,vAPP($o,$o,f1,x)) != $true )
| ( vAPP($o,$o,f1,x) = $false ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f1273,plain,
( ( vAPP($o,$o,f0,vAPP($o,$o,f1,x)) != $false )
| ( vAPP($o,$o,f0,vAPP($o,$o,f1,x)) != $true )
| ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x))) != $true )
| ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x))) = $false ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f1272,plain,
( ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x))) != $true )
| ( vAPP($o,$o,f0,vAPP($o,$o,f1,x)) != $false )
| ( vAPP($o,$o,f0,vAPP($o,$o,f1,x)) != $true )
| ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x)))) != $true )
| ( $false = vAPP($o,$o,f0,$true) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f1271,plain,
( ( vAPP($o,$o,f0,vAPP($o,$o,f1,x)) != $false )
| ( vAPP($o,$o,f0,vAPP($o,$o,f1,x)) != $true )
| ( $true != vAPP($o,$o,f1,$false) )
| ( $false = vAPP($o,$o,f1,$false) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f1270,plain,
( ( vAPP($o,$o,f0,vAPP($o,$o,f1,x)) != $false )
| ( vAPP($o,$o,f0,vAPP($o,$o,f1,x)) != $true )
| ( $true != vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,$false)))) )
| ( $false = vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,$false)))) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f1269,plain,
( ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x))) != $true )
| ( $true != vAPP($o,$o,f1,$false) )
| ( vAPP($o,$o,f0,vAPP($o,$o,f1,x)) != $false )
| ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x)))) != $true )
| ( vAPP($o,$o,f0,vAPP($o,$o,f1,x)) != $true )
| ( $false = vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,$true))) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f1268,plain,
( ( vAPP($o,$o,f0,vAPP($o,$o,f1,x)) != $false )
| ( $true != vAPP($o,$o,f1,$false) )
| ( vAPP($o,$o,f0,vAPP($o,$o,f1,x)) != $true )
| ( $false = vAPP($o,$o,f1,vAPP($o,$o,f1,$false)) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f1267,plain,
( ( vAPP($o,$o,f0,vAPP($o,$o,f1,x)) != $false )
| ( vAPP($o,$o,f0,vAPP($o,$o,f1,x)) != $true )
| ( $true != vAPP($o,$o,f0,vAPP($o,$o,f1,$false)) )
| ( $false = vAPP($o,$o,f0,vAPP($o,$o,f1,$true)) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f1266,plain,
( ( vAPP($o,$o,f0,vAPP($o,$o,f1,x)) != $false )
| ( vAPP($o,$o,f0,vAPP($o,$o,f1,x)) != $true )
| ( $true != vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,$false))) )
| ( $false = vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,$false))) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f1265,plain,
( ( vAPP($o,$o,f0,vAPP($o,$o,f1,x)) != $false )
| ( $true != vAPP($o,$o,f1,$false) )
| ( vAPP($o,$o,f0,vAPP($o,$o,f1,x)) != $true )
| ( $false = vAPP($o,$o,f1,vAPP($o,$o,f1,$true)) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f1264,plain,
( ( vAPP($o,$o,f0,vAPP($o,$o,f1,x)) != $false )
| ( vAPP($o,$o,f0,vAPP($o,$o,f1,x)) != $true )
| ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x))) != $true )
| ( $false = vAPP($o,$o,f0,$false) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f1263,plain,
( ( vAPP($o,$o,f0,vAPP($o,$o,f1,x)) != $false )
| ( vAPP($o,$o,f0,vAPP($o,$o,f1,x)) != $true )
| ( $true != vAPP($o,$o,f1,$false) )
| ( $false = vAPP($o,$o,f1,$true) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f1262,plain,
( ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x))) != $true )
| ( vAPP($o,$o,f0,vAPP($o,$o,f1,x)) != $false )
| ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x)))) != $true )
| ( vAPP($o,$o,f0,vAPP($o,$o,f1,x)) != $true )
| ( $false = vAPP($o,$o,f0,vAPP($o,$o,f0,$true)) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f1261,plain,
( ( x != $false )
| ( $false != vAPP($o,$o,f1,$true) )
| ( $true != vAPP($o,$o,f1,$false) )
| ( $false != vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,$false))) )
| ( $true = $false ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f1260,plain,
( ( x != $false )
| ( $false != vAPP($o,$o,f1,$true) )
| ( $true != vAPP($o,$o,f1,$false) )
| ( $false != vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,$false))) )
| ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x)))) != $false )
| ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x)))) = $true ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f1259,plain,
( ( x != $false )
| ( $false != vAPP($o,$o,f1,$true) )
| ( vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,x)))) != $true )
| ( $true != vAPP($o,$o,f1,$false) )
| ( $false != vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,$false))) )
| ( vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,x)))) = $false ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f1258,plain,
( ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x))) != $true )
| ( x != $false )
| ( $false != vAPP($o,$o,f1,$true) )
| ( $false != vAPP($o,$o,f0,vAPP($o,$o,f1,$true)) )
| ( $true != vAPP($o,$o,f0,vAPP($o,$o,f0,$true)) )
| ( $true != vAPP($o,$o,f1,$false) )
| ( $false != vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,$false))) )
| ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x)))) != $false )
| ( $true = vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,$true)))) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f1257,plain,
( ( $true != vAPP($o,$o,f1,$false) )
| ( $false != vAPP($o,$o,f1,$true) )
| ( x != $false )
| ( $false != vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,$false))) )
| ( vAPP($o,$o,f1,x) = $false ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f1256,plain,
( ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x))) != $true )
| ( x != $false )
| ( $false != vAPP($o,$o,f1,$true) )
| ( $true != vAPP($o,$o,f0,vAPP($o,$o,f0,$true)) )
| ( $true != vAPP($o,$o,f1,$false) )
| ( $false != vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,$false))) )
| ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x)))) != $false )
| ( $true = vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,$true))) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f1255,plain,
( ( x != $false )
| ( $false != vAPP($o,$o,f1,$true) )
| ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x))) != $true )
| ( $true != vAPP($o,$o,f1,$false) )
| ( $false != vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,$false))) )
| ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x))) = $false ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f1254,plain,
( ( x != $false )
| ( $false != vAPP($o,$o,f1,$true) )
| ( $true != vAPP($o,$o,f1,$false) )
| ( $false != vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,$false))) )
| ( vAPP($o,$o,f0,vAPP($o,$o,f1,x)) != $false )
| ( vAPP($o,$o,f0,vAPP($o,$o,f1,x)) = $true ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f1253,plain,
( ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x))) != $true )
| ( x != $false )
| ( $false != vAPP($o,$o,f1,$true) )
| ( $true != vAPP($o,$o,f1,$false) )
| ( $false != vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,$false))) )
| ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x)))) != $false )
| ( $true = vAPP($o,$o,f0,$true) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f1252,plain,
( ( $true != vAPP($o,$o,f1,$false) )
| ( x != $false )
| ( $false != vAPP($o,$o,f1,$true) )
| ( $false != vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,$false))) )
| ( $false = vAPP($o,$o,f1,$false) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f1251,plain,
( ( x != $false )
| ( $false != vAPP($o,$o,f1,$true) )
| ( $true != vAPP($o,$o,f1,$false) )
| ( $false != vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,$false))) )
| ( vAPP($o,$o,f0,vAPP($o,$o,f1,x)) != $false )
| ( $true = vAPP($o,$o,f0,vAPP($o,$o,f1,$false)) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f1250,plain,
( ( $false != vAPP($o,$o,f1,$true) )
| ( x != $false )
| ( vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,x)))) != $true )
| ( $true != vAPP($o,$o,f1,$false) )
| ( $false != vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,$false))) )
| ( $false = vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,$false)))) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f1249,plain,
( ( $false != vAPP($o,$o,f1,$true) )
| ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x))) != $true )
| ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x)))) != $false )
| ( x != $false )
| ( $true != vAPP($o,$o,f0,vAPP($o,$o,f0,$true)) )
| ( $true != vAPP($o,$o,f1,$false) )
| ( $false != vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,$false))) )
| ( $false = vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,$true))) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f1248,plain,
( ( $true != vAPP($o,$o,f1,$false) )
| ( x != $false )
| ( $false != vAPP($o,$o,f1,$true) )
| ( $false = vAPP($o,$o,f1,vAPP($o,$o,f1,$false)) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f1247,plain,
( ( x != $false )
| ( $false != vAPP($o,$o,f1,$true) )
| ( $true != vAPP($o,$o,f1,$false) )
| ( $true = vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,$false))) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f1246,plain,
( ( x != $false )
| ( $false != vAPP($o,$o,f1,$true) )
| ( $true != vAPP($o,$o,f1,$false) )
| ( $true = vAPP($o,$o,f1,vAPP($o,$o,f1,$true)) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f1245,plain,
( ( x != $false )
| ( $false != vAPP($o,$o,f1,$true) )
| ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x))) != $true )
| ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x)))) != $false )
| ( $true != vAPP($o,$o,f0,vAPP($o,$o,f0,$true)) )
| ( $true != vAPP($o,$o,f1,$false) )
| ( $false != vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,$false))) )
| ( $false = vAPP($o,$o,f0,$false) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f1244,plain,
( ( x != $false )
| ( $true != vAPP($o,$o,f1,$false) )
| ( $false != vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,$false))) )
| ( $false != vAPP($o,$o,f1,$true) )
| ( $true = vAPP($o,$o,f1,$true) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f1243,plain,
( ( x != $false )
| ( $false != vAPP($o,$o,f1,$true) )
| ( $true != vAPP($o,$o,f1,$false) )
| ( $false != vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,$false))) )
| ( $false != vAPP($o,$o,f0,vAPP($o,$o,f1,$true)) )
| ( $true = vAPP($o,$o,f0,vAPP($o,$o,f1,$true)) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f1242,plain,
( ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x))) != $true )
| ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x)))) != $false )
| ( $true != vAPP($o,$o,f0,vAPP($o,$o,f0,$true)) )
| ( $false != vAPP($o,$o,f0,$false) )
| ( $true = $false ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f1241,plain,
( ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x))) != $true )
| ( $true != vAPP($o,$o,f0,vAPP($o,$o,f0,$true)) )
| ( $false != vAPP($o,$o,f0,$false) )
| ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x)))) != $false )
| ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x)))) = $true ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f1240,plain,
( ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x))) != $true )
| ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x)))) != $false )
| ( vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,x)))) != $true )
| ( $true != vAPP($o,$o,f0,vAPP($o,$o,f0,$true)) )
| ( $false != vAPP($o,$o,f0,$false) )
| ( vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,x)))) = $false ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f1239,plain,
( ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x))) != $true )
| ( $false != vAPP($o,$o,f0,vAPP($o,$o,f1,$true)) )
| ( $true != vAPP($o,$o,f0,vAPP($o,$o,f0,$true)) )
| ( $false != vAPP($o,$o,f0,$false) )
| ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x)))) != $false )
| ( $true = vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,$true)))) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f1238,plain,
( ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x))) != $true )
| ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x)))) != $false )
| ( x != $false )
| ( $true != vAPP($o,$o,f1,$false) )
| ( $true != vAPP($o,$o,f0,vAPP($o,$o,f0,$true)) )
| ( $false != vAPP($o,$o,f0,$false) )
| ( vAPP($o,$o,f1,x) = $false ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f1237,plain,
( ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x))) != $true )
| ( $true != vAPP($o,$o,f0,vAPP($o,$o,f0,$true)) )
| ( $false != vAPP($o,$o,f0,$false) )
| ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x)))) != $false )
| ( $true = vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,$true))) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f1236,plain,
( ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x)))) != $false )
| ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x))) != $true )
| ( $true != vAPP($o,$o,f0,vAPP($o,$o,f0,$true)) )
| ( $false != vAPP($o,$o,f0,$false) )
| ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x))) = $false ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f1235,plain,
( ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x))) != $true )
| ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x)))) != $false )
| ( $true != vAPP($o,$o,f0,vAPP($o,$o,f0,$true)) )
| ( $false != vAPP($o,$o,f0,$false) )
| ( vAPP($o,$o,f0,vAPP($o,$o,f1,x)) != $false )
| ( vAPP($o,$o,f0,vAPP($o,$o,f1,x)) = $true ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f1234,plain,
( ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x))) != $true )
| ( $true != vAPP($o,$o,f0,vAPP($o,$o,f0,$true)) )
| ( $false != vAPP($o,$o,f0,$false) )
| ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x)))) != $false )
| ( $true = vAPP($o,$o,f0,$true) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f1233,plain,
( ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x))) != $true )
| ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x)))) != $false )
| ( $true != vAPP($o,$o,f1,$false) )
| ( $true != vAPP($o,$o,f0,vAPP($o,$o,f0,$true)) )
| ( $false != vAPP($o,$o,f0,$false) )
| ( $false = vAPP($o,$o,f1,$false) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f1232,plain,
( ( x != $false )
| ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x))) != $true )
| ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x)))) != $false )
| ( $true != vAPP($o,$o,f0,vAPP($o,$o,f0,$true)) )
| ( $false != vAPP($o,$o,f0,$false) )
| ( vAPP($o,$o,f0,vAPP($o,$o,f1,x)) != $false )
| ( $true = vAPP($o,$o,f0,vAPP($o,$o,f1,$false)) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f1231,plain,
( ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x))) != $true )
| ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x)))) != $false )
| ( x != $false )
| ( vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,x)))) != $true )
| ( $true != vAPP($o,$o,f0,vAPP($o,$o,f0,$true)) )
| ( $false != vAPP($o,$o,f0,$false) )
| ( $false = vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,$false)))) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f1230,plain,
( ( $true != vAPP($o,$o,f1,$false) )
| ( x != $false )
| ( $false != vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,$false))) )
| ( $false != vAPP($o,$o,f0,$false) )
| ( $false = vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,$true))) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f1229,plain,
( ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x))) != $true )
| ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x)))) != $false )
| ( x != $false )
| ( $true != vAPP($o,$o,f1,$false) )
| ( $true != vAPP($o,$o,f0,vAPP($o,$o,f0,$true)) )
| ( $false != vAPP($o,$o,f0,$false) )
| ( $false = vAPP($o,$o,f1,vAPP($o,$o,f1,$false)) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f1228,plain,
( ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x))) != $true )
| ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x)))) != $false )
| ( $true != vAPP($o,$o,f0,vAPP($o,$o,f0,$true)) )
| ( $false != vAPP($o,$o,f0,$false) )
| ( $false != vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,$false))) )
| ( $true = vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,$false))) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f1227,plain,
( ( $true != vAPP($o,$o,f1,$false) )
| ( x != $false )
| ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x))) != $true )
| ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x)))) != $false )
| ( $true != vAPP($o,$o,f0,vAPP($o,$o,f0,$true)) )
| ( $false != vAPP($o,$o,f0,$false) )
| ( $false != vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,$false))) )
| ( $true = vAPP($o,$o,f1,vAPP($o,$o,f1,$true)) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f1226,plain,
( ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x))) != $true )
| ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x)))) != $false )
| ( $true != vAPP($o,$o,f0,vAPP($o,$o,f0,$true)) )
| ( $false != vAPP($o,$o,f0,$false) )
| ( $true != vAPP($o,$o,f1,$false) )
| ( $true = vAPP($o,$o,f1,$true) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f1225,plain,
( ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x))) != $true )
| ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x)))) != $false )
| ( $true != vAPP($o,$o,f0,vAPP($o,$o,f0,$true)) )
| ( $false != vAPP($o,$o,f0,$false) )
| ( $false != vAPP($o,$o,f0,vAPP($o,$o,f1,$true)) )
| ( $true = vAPP($o,$o,f0,vAPP($o,$o,f1,$true)) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f1224,plain,
( ( $true != vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,$false))) )
| ( $false != vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,$false))) )
| ( $true = $false ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f1223,plain,
( ( $true != vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,$false))) )
| ( $false != vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,$false))) )
| ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x)))) != $false )
| ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x)))) = $true ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f1222,plain,
( ( vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,x)))) != $true )
| ( $true != vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,$false))) )
| ( $false != vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,$false))) )
| ( vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,x)))) = $false ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f1221,plain,
( ( vAPP($o,$o,f0,vAPP($o,$o,f1,x)) != $false )
| ( $false != vAPP($o,$o,f0,vAPP($o,$o,f1,$true)) )
| ( $true != vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,$false))) )
| ( $false != vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,$false))) )
| ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x)))) != $false )
| ( $true = vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,$true)))) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f1220,plain,
( ( x != $false )
| ( $true != vAPP($o,$o,f1,$false) )
| ( $true != vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,$false))) )
| ( $false != vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,$false))) )
| ( vAPP($o,$o,f1,x) = $false ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f1219,plain,
( ( vAPP($o,$o,f0,vAPP($o,$o,f1,x)) != $false )
| ( $false != vAPP($o,$o,f0,$true) )
| ( $true != vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,$false))) )
| ( $false != vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,$false))) )
| ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x)))) != $false )
| ( $true = vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,$true))) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f1218,plain,
( ( x != $false )
| ( $false != vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,$false))) )
| ( vAPP($o,$o,f0,vAPP($o,$o,f1,x)) != $false )
| ( vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,x)))) != $true )
| ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x))) = $true ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f1217,plain,
( ( x != $false )
| ( $false != vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,$false))) )
| ( $false != vAPP($o,$o,f0,$true) )
| ( vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,x)))) != $true )
| ( $true = vAPP($o,$o,f0,vAPP($o,$o,f0,$true)) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f1216,plain,
( ( x != $false )
| ( vAPP($o,$o,f0,vAPP($o,$o,f1,x)) != $false )
| ( vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,x)))) != $true )
| ( $true != vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,$false))) )
| ( $false != vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,$false))) )
| ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x))) = $false ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f1215,plain,
( ( $true != vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,$false))) )
| ( $false != vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,$false))) )
| ( vAPP($o,$o,f0,vAPP($o,$o,f1,x)) != $false )
| ( vAPP($o,$o,f0,vAPP($o,$o,f1,x)) = $true ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f1214,plain,
( ( $true != vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,$false))) )
| ( $false != vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,$false))) )
| ( $false != vAPP($o,$o,f0,$true) )
| ( $true = vAPP($o,$o,f0,$true) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f1213,plain,
( ( $true != vAPP($o,$o,f1,$false) )
| ( $true != vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,$false))) )
| ( $false != vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,$false))) )
| ( $false = vAPP($o,$o,f1,$false) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f1212,plain,
( ( x != $false )
| ( $true != vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,$false))) )
| ( $false != vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,$false))) )
| ( vAPP($o,$o,f0,vAPP($o,$o,f1,x)) != $false )
| ( $true = vAPP($o,$o,f0,vAPP($o,$o,f1,$false)) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f1211,plain,
( ( x != $false )
| ( vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,x)))) != $true )
| ( $true != vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,$false))) )
| ( $false != vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,$false))) )
| ( $false = vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,$false)))) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f1210,plain,
( ( x != $false )
| ( $true != vAPP($o,$o,f1,$false) )
| ( vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,x)))) != $true )
| ( $true != vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,$false))) )
| ( $false != vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,$false))) )
| ( $false = vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,$true))) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f1209,plain,
( ( x != $false )
| ( $true != vAPP($o,$o,f1,$false) )
| ( $true != vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,$false))) )
| ( $false != vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,$false))) )
| ( $false = vAPP($o,$o,f1,vAPP($o,$o,f1,$false)) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f1208,plain,
( ( x != $false )
| ( $true != vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,$false))) )
| ( $false != vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,$false))) )
| ( $true != vAPP($o,$o,f1,$false) )
| ( $true = vAPP($o,$o,f1,vAPP($o,$o,f1,$true)) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f1207,plain,
( ( $true != vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,$false))) )
| ( $false != vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,$false))) )
| ( $true != vAPP($o,$o,f1,$false) )
| ( $true = vAPP($o,$o,f1,$true) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f1206,plain,
( ( x != $false )
| ( $false != vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,$false))) )
| ( vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,x)))) != $true )
| ( $true = vAPP($o,$o,f0,$false) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f1205,plain,
( ( $true != vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,$false))) )
| ( $false != vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,$false))) )
| ( $false != vAPP($o,$o,f0,vAPP($o,$o,f1,$true)) )
| ( $true = vAPP($o,$o,f0,vAPP($o,$o,f1,$true)) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f1204,plain,
( ( x != $false )
| ( vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,x)))) != $true )
| ( $false != vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,$false)))) )
| ( $true = $false ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f1203,plain,
( ( x != $false )
| ( vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,x)))) != $true )
| ( $false != vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,$false)))) )
| ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x)))) != $false )
| ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x)))) = $true ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f1202,plain,
( ( x != $false )
| ( $false != vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,$false)))) )
| ( vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,x)))) = $false ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f1201,plain,
( ( x != $false )
| ( vAPP($o,$o,f0,vAPP($o,$o,f1,x)) != $false )
| ( vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,x)))) != $true )
| ( $false != vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,$false)))) )
| ( $false != vAPP($o,$o,f0,$true) )
| ( $true = vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,$true)))) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f1200,plain,
( ( $false != vAPP($o,$o,f1,vAPP($o,$o,f1,$false)) )
| ( x != $false )
| ( $true != vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,$false))) )
| ( vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,x)))) != $true )
| ( $false != vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,$false)))) )
| ( vAPP($o,$o,f1,x) = $false ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f1199,plain,
( ( vAPP($o,$o,f0,vAPP($o,$o,f1,x)) != $false )
| ( $false != vAPP($o,$o,f0,$true) )
| ( x != $false )
| ( vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,x)))) != $true )
| ( $false != vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,$false)))) )
| ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x)))) != $false )
| ( $true = vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,$true))) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f1198,plain,
( ( x != $false )
| ( vAPP($o,$o,f0,vAPP($o,$o,f1,x)) != $false )
| ( vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,x)))) != $true )
| ( $false != vAPP($o,$o,f0,$true) )
| ( $false != vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,$false)))) )
| ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x))) = $true ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f1197,plain,
( ( x != $false )
| ( vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,x)))) != $true )
| ( $false != vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,$false)))) )
| ( $false != vAPP($o,$o,f0,$true) )
| ( $true = vAPP($o,$o,f0,vAPP($o,$o,f0,$true)) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f1196,plain,
( ( x != $false )
| ( vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,x)))) != $true )
| ( $false != vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,$false)))) )
| ( vAPP($o,$o,f0,vAPP($o,$o,f1,x)) != $false )
| ( $false != vAPP($o,$o,f0,$true) )
| ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x))) = $false ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f1195,plain,
( ( x != $false )
| ( vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,x)))) != $true )
| ( $false != vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,$false)))) )
| ( vAPP($o,$o,f0,vAPP($o,$o,f1,x)) != $false )
| ( vAPP($o,$o,f0,vAPP($o,$o,f1,x)) = $true ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f1194,plain,
( ( x != $false )
| ( vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,x)))) != $true )
| ( $false != vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,$false)))) )
| ( $false != vAPP($o,$o,f0,$true) )
| ( $true = vAPP($o,$o,f0,$true) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f1193,plain,
( ( x != $false )
| ( $false != vAPP($o,$o,f1,vAPP($o,$o,f1,$false)) )
| ( $true != vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,$false))) )
| ( vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,x)))) != $true )
| ( $false != vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,$false)))) )
| ( $false = vAPP($o,$o,f1,$false) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f1192,plain,
( ( x != $false )
| ( vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,x)))) != $true )
| ( $false != vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,$false)))) )
| ( vAPP($o,$o,f0,vAPP($o,$o,f1,x)) != $false )
| ( $true = vAPP($o,$o,f0,vAPP($o,$o,f1,$false)) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f1191,plain,
( ( x != $false )
| ( vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,x)))) != $true )
| ( $true = vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,$false)))) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f1190,plain,
( ( x != $false )
| ( $true != vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,$false))) )
| ( vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,x)))) != $true )
| ( $false != vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,$false)))) )
| ( $false = vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,$false))) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f1189,plain,
( ( x != $false )
| ( vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,x)))) != $true )
| ( $false != vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,$false)))) )
| ( $false != vAPP($o,$o,f1,vAPP($o,$o,f1,$false)) )
| ( $false = vAPP($o,$o,f1,vAPP($o,$o,f1,$true)) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f1188,plain,
( ( x != $false )
| ( $false != vAPP($o,$o,f1,vAPP($o,$o,f1,$false)) )
| ( $true != vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,$false))) )
| ( vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,x)))) != $true )
| ( $false != vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,$false)))) )
| ( $false = vAPP($o,$o,f1,$true) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f1187,plain,
( ( x != $false )
| ( vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,x)))) != $true )
| ( $false != vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,$false)))) )
| ( $false != vAPP($o,$o,f0,$true) )
| ( $true = vAPP($o,$o,f0,$false) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f1186,plain,
( ( x != $false )
| ( vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,x)))) != $true )
| ( $false != vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,$false)))) )
| ( vAPP($o,$o,f0,vAPP($o,$o,f1,x)) != $false )
| ( $true = vAPP($o,$o,f0,vAPP($o,$o,f1,$true)) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f1185,plain,
( ( vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,x)))) != $true )
| ( $false != vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,$false)))) )
| ( x != $false )
| ( x = $true ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f1184,plain,
( ( x != $true )
| ( $true != vAPP($o,$o,f1,$true) )
| ( vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,x)))) != $true )
| ( $false != vAPP($o,$o,f0,$true) )
| ( $true = $false ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f1183,plain,
( ( x != $true )
| ( $true != vAPP($o,$o,f1,$true) )
| ( vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,x)))) != $true )
| ( $false != vAPP($o,$o,f0,$true) )
| ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x)))) != $false )
| ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x)))) = $true ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f1182,plain,
( ( x != $true )
| ( $true != vAPP($o,$o,f1,$true) )
| ( $false != vAPP($o,$o,f0,$true) )
| ( vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,x)))) = $false ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f1181,plain,
( ( $true != vAPP($o,$o,f1,$true) )
| ( x != $true )
| ( vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,x)))) != $true )
| ( $false != vAPP($o,$o,f0,$true) )
| ( x = $false ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f1180,plain,
( ( $false != vAPP($o,$o,f1,$false) )
| ( x != $true )
| ( $true != vAPP($o,$o,f1,$true) )
| ( $false != vAPP($o,$o,f0,vAPP($o,$o,f1,$true)) )
| ( vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,x)))) != $true )
| ( $false != vAPP($o,$o,f0,$true) )
| ( $false != vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,$false)))) )
| ( $true = vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,$true)))) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f1179,plain,
( ( x != $true )
| ( $true != vAPP($o,$o,f1,$true) )
| ( vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,x)))) != $true )
| ( $false != vAPP($o,$o,f0,$true) )
| ( vAPP($o,$o,f1,x) = $false ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f1178,plain,
( ( vAPP($o,$o,f0,vAPP($o,$o,f1,x)) != $false )
| ( x != $true )
| ( $true != vAPP($o,$o,f1,$true) )
| ( vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,x)))) != $true )
| ( $false != vAPP($o,$o,f0,$true) )
| ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x)))) != $false )
| ( $true = vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,$true))) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f1177,plain,
( ( x != $true )
| ( $true != vAPP($o,$o,f1,$true) )
| ( $false != vAPP($o,$o,f1,$false) )
| ( vAPP($o,$o,f0,vAPP($o,$o,f1,x)) != $false )
| ( vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,x)))) != $true )
| ( $false != vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,$false)))) )
| ( $false != vAPP($o,$o,f0,$true) )
| ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x))) = $true ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f1176,plain,
( ( $false != vAPP($o,$o,f1,$false) )
| ( x != $true )
| ( $true != vAPP($o,$o,f1,$true) )
| ( vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,x)))) != $true )
| ( $false != vAPP($o,$o,f0,$true) )
| ( $false != vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,$false)))) )
| ( $true = vAPP($o,$o,f0,vAPP($o,$o,f0,$true)) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f1175,plain,
( ( $false != vAPP($o,$o,f1,$false) )
| ( vAPP($o,$o,f0,vAPP($o,$o,f1,x)) != $false )
| ( $false != vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,$false)))) )
| ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x))) = $false ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f1174,plain,
( ( x != $true )
| ( $true != vAPP($o,$o,f1,$true) )
| ( vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,x)))) != $true )
| ( $false != vAPP($o,$o,f0,$true) )
| ( vAPP($o,$o,f0,vAPP($o,$o,f1,x)) != $false )
| ( vAPP($o,$o,f0,vAPP($o,$o,f1,x)) = $true ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f1173,plain,
( ( x != $true )
| ( $true != vAPP($o,$o,f1,$true) )
| ( vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,x)))) != $true )
| ( $true = vAPP($o,$o,f0,$true) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f1172,plain,
( ( x != $true )
| ( $true != vAPP($o,$o,f1,$true) )
| ( $false != vAPP($o,$o,f1,$false) )
| ( vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,x)))) != $true )
| ( $false != vAPP($o,$o,f0,$true) )
| ( $false != vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,$false)))) )
| ( $true = vAPP($o,$o,f0,vAPP($o,$o,f1,$false)) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f1171,plain,
( ( x != $true )
| ( $true != vAPP($o,$o,f1,$true) )
| ( vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,x)))) != $true )
| ( $false != vAPP($o,$o,f0,$true) )
| ( $false != vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,$false)))) )
| ( $true = vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,$false)))) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f1170,plain,
( ( x != $true )
| ( $true != vAPP($o,$o,f1,$true) )
| ( vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,x)))) != $true )
| ( $false != vAPP($o,$o,f0,$true) )
| ( $false != vAPP($o,$o,f1,$false) )
| ( $true = vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,$false))) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f1169,plain,
( ( x != $true )
| ( $true != vAPP($o,$o,f1,$true) )
| ( vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,x)))) != $true )
| ( $false != vAPP($o,$o,f0,$true) )
| ( $false != vAPP($o,$o,f1,$false) )
| ( $true = vAPP($o,$o,f1,$false) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f1168,plain,
( ( x != $true )
| ( $true != vAPP($o,$o,f1,$true) )
| ( $true != vAPP($o,$o,f1,vAPP($o,$o,f1,$true)) )
| ( vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,x)))) != $true )
| ( $false != vAPP($o,$o,f0,$true) )
| ( $false = vAPP($o,$o,f1,vAPP($o,$o,f1,$true)) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f1167,plain,
( ( x != $true )
| ( $true != vAPP($o,$o,f1,$true) )
| ( vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,x)))) != $true )
| ( $false != vAPP($o,$o,f0,$true) )
| ( $false = vAPP($o,$o,f1,$true) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f1166,plain,
( ( $false != vAPP($o,$o,f1,$false) )
| ( x != $true )
| ( $true != vAPP($o,$o,f1,$true) )
| ( vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,x)))) != $true )
| ( $false != vAPP($o,$o,f0,$true) )
| ( $false != vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,$false)))) )
| ( $true = vAPP($o,$o,f0,$false) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f1165,plain,
( ( x != $true )
| ( $true != vAPP($o,$o,f1,$true) )
| ( vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,x)))) != $true )
| ( $false != vAPP($o,$o,f0,$true) )
| ( $false != vAPP($o,$o,f0,vAPP($o,$o,f1,$true)) )
| ( $true = vAPP($o,$o,f0,vAPP($o,$o,f1,$true)) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f1150,plain,
( spl0_17
| ~ spl0_22
| ~ spl0_32 ),
inference(avatar_split_clause,[],[f1149,f308,f212,f134]) ).
thf(f134,plain,
( spl0_17
<=> ( $false = vAPP($o,$o,f0,$true) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_17])]) ).
thf(f212,plain,
( spl0_22
<=> ( $false = vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,$true))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_22])]) ).
thf(f308,plain,
( spl0_32
<=> ( $true = vAPP($o,$o,f1,$true) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_32])]) ).
thf(f1149,plain,
( ( $false = vAPP($o,$o,f0,$true) )
| ~ spl0_22
| ~ spl0_32 ),
inference(forward_demodulation,[],[f1148,f309]) ).
thf(f309,plain,
( ( $true = vAPP($o,$o,f1,$true) )
| ~ spl0_32 ),
inference(avatar_component_clause,[],[f308]) ).
thf(f1148,plain,
( ( $false = vAPP($o,$o,f0,vAPP($o,$o,f1,$true)) )
| ~ spl0_22
| ~ spl0_32 ),
inference(forward_demodulation,[],[f214,f309]) ).
thf(f214,plain,
( ( $false = vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,$true))) )
| ~ spl0_22 ),
inference(avatar_component_clause,[],[f212]) ).
thf(f1147,plain,
( spl0_17
| ~ spl0_24
| ~ spl0_32 ),
inference(avatar_split_clause,[],[f1146,f308,f221,f134]) ).
thf(f221,plain,
( spl0_24
<=> ( $false = vAPP($o,$o,f0,vAPP($o,$o,f1,$true)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_24])]) ).
thf(f1146,plain,
( ( $false = vAPP($o,$o,f0,$true) )
| ~ spl0_24
| ~ spl0_32 ),
inference(forward_demodulation,[],[f223,f309]) ).
thf(f223,plain,
( ( $false = vAPP($o,$o,f0,vAPP($o,$o,f1,$true)) )
| ~ spl0_24 ),
inference(avatar_component_clause,[],[f221]) ).
thf(f1139,plain,
( spl0_30
| ~ spl0_18
| ~ spl0_33 ),
inference(avatar_split_clause,[],[f1138,f362,f146,f268]) ).
thf(f268,plain,
( spl0_30
<=> ( $false = vAPP($o,$o,f0,$false) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_30])]) ).
thf(f146,plain,
( spl0_18
<=> ( $false = vAPP($o,$o,f1,$false) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_18])]) ).
thf(f362,plain,
( spl0_33
<=> ( $false = vAPP($o,$o,f0,vAPP($o,$o,f1,$false)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_33])]) ).
thf(f1138,plain,
( ( $false = vAPP($o,$o,f0,$false) )
| ~ spl0_18
| ~ spl0_33 ),
inference(forward_demodulation,[],[f363,f147]) ).
thf(f147,plain,
( ( $false = vAPP($o,$o,f1,$false) )
| ~ spl0_18 ),
inference(avatar_component_clause,[],[f146]) ).
thf(f363,plain,
( ( $false = vAPP($o,$o,f0,vAPP($o,$o,f1,$false)) )
| ~ spl0_33 ),
inference(avatar_component_clause,[],[f362]) ).
thf(f1135,plain,
( spl0_6
| ~ spl0_35
| spl0_15 ),
inference(avatar_split_clause,[],[f939,f112,f449,f71]) ).
thf(f71,plain,
( spl0_6
<=> ( x = $false ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).
thf(f449,plain,
( spl0_35
<=> ( $true = vAPP($o,$o,f0,vAPP($o,$o,f1,$true)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_35])]) ).
thf(f112,plain,
( spl0_15
<=> ( vAPP($o,$o,f0,vAPP($o,$o,f1,x)) = $true ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_15])]) ).
thf(f939,plain,
( ( $true != vAPP($o,$o,f0,vAPP($o,$o,f1,$true)) )
| ( x = $false )
| spl0_15 ),
inference(superposition,[],[f113,f4]) ).
thf(f4,plain,
! [X0: $o] :
( ( $true = X0 )
| ( $false = X0 ) ),
introduced(fool_axiom,[]) ).
thf(f113,plain,
( ( vAPP($o,$o,f0,vAPP($o,$o,f1,x)) != $true )
| spl0_15 ),
inference(avatar_component_clause,[],[f112]) ).
thf(f1134,plain,
( spl0_6
| ~ spl0_31
| spl0_8 ),
inference(avatar_split_clause,[],[f940,f80,f302,f71]) ).
thf(f302,plain,
( spl0_31
<=> ( $false = vAPP($o,$o,f1,$true) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_31])]) ).
thf(f80,plain,
( spl0_8
<=> ( vAPP($o,$o,f1,x) = $false ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).
thf(f940,plain,
( ( $false != vAPP($o,$o,f1,$true) )
| ( x = $false )
| spl0_8 ),
inference(superposition,[],[f81,f4]) ).
thf(f81,plain,
( ( vAPP($o,$o,f1,x) != $false )
| spl0_8 ),
inference(avatar_component_clause,[],[f80]) ).
thf(f1133,plain,
( spl0_6
| spl0_36 ),
inference(avatar_split_clause,[],[f972,f593,f71]) ).
thf(f593,plain,
( spl0_36
<=> ( x = $true ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_36])]) ).
thf(f972,plain,
( ( x = $false )
| spl0_36 ),
inference(trivial_inequality_removal,[],[f941]) ).
thf(f941,plain,
( ( $true != $true )
| ( x = $false )
| spl0_36 ),
inference(superposition,[],[f594,f4]) ).
thf(f594,plain,
( ( x != $true )
| spl0_36 ),
inference(avatar_component_clause,[],[f593]) ).
thf(f1132,plain,
( spl0_6
| ~ spl0_1
| spl0_6 ),
inference(avatar_split_clause,[],[f942,f71,f10,f71]) ).
thf(f10,plain,
( spl0_1
<=> ( $true = $false ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
thf(f942,plain,
( ( $true != $false )
| ( x = $false )
| spl0_6 ),
inference(superposition,[],[f72,f4]) ).
thf(f72,plain,
( ( x != $false )
| spl0_6 ),
inference(avatar_component_clause,[],[f71]) ).
thf(f1131,plain,
( spl0_38
| ~ spl0_1
| spl0_31 ),
inference(avatar_split_clause,[],[f943,f302,f10,f1129]) ).
thf(f1129,plain,
( spl0_38
<=> ! [X0: $o] :
( ( $false = X0 )
| ( $false = vAPP($o,$o,f1,X0) ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_38])]) ).
thf(f943,plain,
( ! [X0: $o] :
( ( $true != $false )
| ( $false = X0 )
| ( $false = vAPP($o,$o,f1,X0) ) )
| spl0_31 ),
inference(superposition,[],[f371,f4]) ).
thf(f371,plain,
( ! [X0: $o] :
( ( $false != vAPP($o,$o,f1,X0) )
| ( $false = X0 ) )
| spl0_31 ),
inference(superposition,[],[f303,f4]) ).
thf(f303,plain,
( ( $false != vAPP($o,$o,f1,$true) )
| spl0_31 ),
inference(avatar_component_clause,[],[f302]) ).
thf(f1127,plain,
( spl0_8
| ~ spl0_16
| spl0_15 ),
inference(avatar_split_clause,[],[f944,f112,f116,f80]) ).
thf(f116,plain,
( spl0_16
<=> ( $true = vAPP($o,$o,f0,$true) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_16])]) ).
thf(f944,plain,
( ( $true != vAPP($o,$o,f0,$true) )
| ( vAPP($o,$o,f1,x) = $false )
| spl0_15 ),
inference(superposition,[],[f113,f4]) ).
thf(f1126,plain,
( spl0_8
| ~ spl0_1
| spl0_8 ),
inference(avatar_split_clause,[],[f945,f80,f10,f80]) ).
thf(f945,plain,
( ( $true != $false )
| ( vAPP($o,$o,f1,x) = $false )
| spl0_8 ),
inference(superposition,[],[f81,f4]) ).
thf(f1125,plain,
( spl0_31
| ~ spl0_16
| spl0_35 ),
inference(avatar_split_clause,[],[f947,f449,f116,f302]) ).
thf(f947,plain,
( ( $true != vAPP($o,$o,f0,$true) )
| ( $false = vAPP($o,$o,f1,$true) )
| spl0_35 ),
inference(superposition,[],[f450,f4]) ).
thf(f450,plain,
( ( $true != vAPP($o,$o,f0,vAPP($o,$o,f1,$true)) )
| spl0_35 ),
inference(avatar_component_clause,[],[f449]) ).
thf(f1124,plain,
( spl0_31
| spl0_32
| ~ spl0_28 ),
inference(avatar_split_clause,[],[f948,f256,f308,f302]) ).
thf(f256,plain,
( spl0_28
<=> ( $true = vAPP($o,$o,f1,vAPP($o,$o,f1,$true)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_28])]) ).
thf(f948,plain,
( ( $true = vAPP($o,$o,f1,$true) )
| ( $false = vAPP($o,$o,f1,$true) )
| ~ spl0_28 ),
inference(superposition,[],[f257,f4]) ).
thf(f257,plain,
( ( $true = vAPP($o,$o,f1,vAPP($o,$o,f1,$true)) )
| ~ spl0_28 ),
inference(avatar_component_clause,[],[f256]) ).
thf(f1123,plain,
( spl0_18
| ~ spl0_1
| spl0_31 ),
inference(avatar_split_clause,[],[f1122,f302,f10,f146]) ).
thf(f1122,plain,
( ( $true != $false )
| ( $false = vAPP($o,$o,f1,$false) )
| spl0_31 ),
inference(inner_rewriting,[],[f952]) ).
thf(f952,plain,
( ( $true != $false )
| ( $false = vAPP($o,$o,f1,$true) )
| spl0_31 ),
inference(superposition,[],[f303,f4]) ).
thf(f1121,plain,
( spl0_23
| ~ spl0_1
| spl0_29 ),
inference(avatar_split_clause,[],[f1120,f262,f10,f217]) ).
thf(f217,plain,
( spl0_23
<=> ( $false = vAPP($o,$o,f1,vAPP($o,$o,f1,$false)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_23])]) ).
thf(f262,plain,
( spl0_29
<=> ( $false = vAPP($o,$o,f1,vAPP($o,$o,f1,$true)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_29])]) ).
thf(f1120,plain,
( ( $true != $false )
| ( $false = vAPP($o,$o,f1,vAPP($o,$o,f1,$false)) )
| spl0_29 ),
inference(inner_rewriting,[],[f953]) ).
thf(f953,plain,
( ( $true != $false )
| ( $false = vAPP($o,$o,f1,vAPP($o,$o,f1,$true)) )
| spl0_29 ),
inference(superposition,[],[f263,f4]) ).
thf(f263,plain,
( ( $false != vAPP($o,$o,f1,vAPP($o,$o,f1,$true)) )
| spl0_29 ),
inference(avatar_component_clause,[],[f262]) ).
thf(f1119,plain,
( spl0_14
| spl0_15 ),
inference(avatar_split_clause,[],[f969,f112,f107]) ).
thf(f107,plain,
( spl0_14
<=> ( vAPP($o,$o,f0,vAPP($o,$o,f1,x)) = $false ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_14])]) ).
thf(f969,plain,
( ( vAPP($o,$o,f0,vAPP($o,$o,f1,x)) = $false )
| spl0_15 ),
inference(trivial_inequality_removal,[],[f955]) ).
thf(f955,plain,
( ( $true != $true )
| ( vAPP($o,$o,f0,vAPP($o,$o,f1,x)) = $false )
| spl0_15 ),
inference(superposition,[],[f113,f4]) ).
thf(f1118,plain,
( ~ spl0_16
| spl0_12 ),
inference(avatar_split_clause,[],[f1117,f97,f116]) ).
thf(f97,plain,
( spl0_12
<=> ( $true = vAPP($o,$o,f0,vAPP($o,$o,f0,$true)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).
thf(f1117,plain,
( ( $true != vAPP($o,$o,f0,$true) )
| spl0_12 ),
inference(trivial_inequality_removal,[],[f1116]) ).
thf(f1116,plain,
( ( $true != vAPP($o,$o,f0,$true) )
| ( $true = $false )
| spl0_12 ),
inference(inner_rewriting,[],[f957]) ).
thf(f957,plain,
( ( $true != vAPP($o,$o,f0,$true) )
| ( $false = vAPP($o,$o,f0,$true) )
| spl0_12 ),
inference(superposition,[],[f98,f4]) ).
thf(f98,plain,
( ( $true != vAPP($o,$o,f0,vAPP($o,$o,f0,$true)) )
| spl0_12 ),
inference(avatar_component_clause,[],[f97]) ).
thf(f1115,plain,
( spl0_17
| spl0_16 ),
inference(avatar_split_clause,[],[f968,f116,f134]) ).
thf(f968,plain,
( ( $false = vAPP($o,$o,f0,$true) )
| spl0_16 ),
inference(trivial_inequality_removal,[],[f959]) ).
thf(f959,plain,
( ( $true != $true )
| ( $false = vAPP($o,$o,f0,$true) )
| spl0_16 ),
inference(superposition,[],[f117,f4]) ).
thf(f117,plain,
( ( $true != vAPP($o,$o,f0,$true) )
| spl0_16 ),
inference(avatar_component_clause,[],[f116]) ).
thf(f1114,plain,
( spl0_24
| spl0_35 ),
inference(avatar_split_clause,[],[f967,f449,f221]) ).
thf(f967,plain,
( ( $false = vAPP($o,$o,f0,vAPP($o,$o,f1,$true)) )
| spl0_35 ),
inference(trivial_inequality_removal,[],[f961]) ).
thf(f961,plain,
( ( $true != $true )
| ( $false = vAPP($o,$o,f0,vAPP($o,$o,f1,$true)) )
| spl0_35 ),
inference(superposition,[],[f450,f4]) ).
thf(f1113,plain,
( spl0_37
| spl0_12 ),
inference(avatar_split_clause,[],[f966,f97,f793]) ).
thf(f793,plain,
( spl0_37
<=> ( $false = vAPP($o,$o,f0,vAPP($o,$o,f0,$true)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_37])]) ).
thf(f966,plain,
( ( $false = vAPP($o,$o,f0,vAPP($o,$o,f0,$true)) )
| spl0_12 ),
inference(trivial_inequality_removal,[],[f963]) ).
thf(f963,plain,
( ( $true != $true )
| ( $false = vAPP($o,$o,f0,vAPP($o,$o,f0,$true)) )
| spl0_12 ),
inference(superposition,[],[f98,f4]) ).
thf(f1112,plain,
~ spl0_1,
inference(avatar_split_clause,[],[f1111,f10]) ).
thf(f1111,plain,
$true != $false,
inference(global_subsumption,[],[f3,f7,f8,f4,f965]) ).
thf(f965,plain,
! [X0: $o] :
( ( $true != $false )
| ( $false = X0 ) ),
inference(equality_factoring,[],[f4]) ).
thf(f8,plain,
( ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x)))) = $false )
| ( vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,x)))) = $false ) ),
inference(binary_proxy_clausification,[],[f6]) ).
thf(f6,plain,
vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x)))) != vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,x)))),
inference(cnf_transformation,[],[f5]) ).
thf(f5,plain,
vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x)))) != vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,x)))),
inference(flattening,[],[f2]) ).
thf(f2,negated_conjecture,
vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x)))) != vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,x)))),
inference(negated_conjecture,[],[f1]) ).
thf(f1,conjecture,
vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x)))) = vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,x)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kaminski2) ).
thf(f7,plain,
( ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x)))) = $true )
| ( vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,x)))) = $true ) ),
inference(binary_proxy_clausification,[],[f6]) ).
thf(f3,plain,
$true != $false,
introduced(fool_axiom,[]) ).
thf(f1110,plain,
( ( $true != vAPP($o,$o,f1,vAPP($o,$o,f1,$true)) )
| ( $false != vAPP($o,$o,f0,$true) )
| ( $false = vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,$true))) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f1109,plain,
( ( $true != vAPP($o,$o,f1,$true) )
| ( $false != vAPP($o,$o,f0,$true) )
| ( $false = vAPP($o,$o,f0,vAPP($o,$o,f1,$true)) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f1108,plain,
( ( $false != vAPP($o,$o,f1,$false) )
| ( $false != vAPP($o,$o,f0,$true) )
| ( $true != vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,$true))) )
| ( $false != vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,$false)))) )
| ( $true = $false ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f1107,plain,
( ( $false != vAPP($o,$o,f1,$false) )
| ( $false != vAPP($o,$o,f0,$true) )
| ( $true != vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,$true))) )
| ( $false != vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,$false)))) )
| ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x)))) != $false )
| ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x)))) = $true ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f1106,plain,
( ( $false != vAPP($o,$o,f1,$false) )
| ( $false != vAPP($o,$o,f0,$true) )
| ( vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,x)))) != $true )
| ( $true != vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,$true))) )
| ( $false != vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,$false)))) )
| ( vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,x)))) = $false ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f1105,plain,
( ( $false != vAPP($o,$o,f1,$false) )
| ( $false != vAPP($o,$o,f0,$true) )
| ( $false != vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,$false)))) )
| ( $true != vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,$true))) )
| ( $true = vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,$true)))) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f1104,plain,
( ( $false != vAPP($o,$o,f0,$true) )
| ( $false != vAPP($o,$o,f1,$false) )
| ( $false != vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,$false)))) )
| ( $true != vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,$true))) )
| ( $true = vAPP($o,$o,f0,vAPP($o,$o,f0,$true)) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f1103,plain,
( ( $false != vAPP($o,$o,f1,$false) )
| ( $true != vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,$true))) )
| ( $false != vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,$false)))) )
| ( $false != vAPP($o,$o,f0,$true) )
| ( $true = vAPP($o,$o,f0,$true) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f1102,plain,
( ( $false != vAPP($o,$o,f1,$false) )
| ( $false != vAPP($o,$o,f0,$true) )
| ( $false != vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,$false)))) )
| ( $true != vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,$true))) )
| ( $true = vAPP($o,$o,f0,vAPP($o,$o,f1,$false)) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f1101,plain,
( ( $false != vAPP($o,$o,f1,$false) )
| ( $false != vAPP($o,$o,f0,$true) )
| ( $false != vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,$false)))) )
| ( $true != vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,$true))) )
| ( $true = vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,$false)))) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f1100,plain,
( ( $false != vAPP($o,$o,f0,$true) )
| ( $true != vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,$true))) )
| ( $false != vAPP($o,$o,f1,$false) )
| ( $false != vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,$false)))) )
| ( $false = vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,$true))) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f1099,plain,
( ( $false != vAPP($o,$o,f0,$true) )
| ( $true != vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,$true))) )
| ( $false != vAPP($o,$o,f1,$false) )
| ( $false != vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,$false)))) )
| ( $false = vAPP($o,$o,f0,vAPP($o,$o,f1,$true)) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f1098,plain,
( ( $false != vAPP($o,$o,f0,$true) )
| ( $true != vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,$true))) )
| ( $false != vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,$false)))) )
| ( $false != vAPP($o,$o,f1,$false) )
| ( $true = vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,$false))) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f1097,plain,
( ( $false != vAPP($o,$o,f0,$true) )
| ( $true != vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,$true))) )
| ( $false != vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,$false)))) )
| ( $false != vAPP($o,$o,f1,$false) )
| ( $true = vAPP($o,$o,f1,$false) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f1096,plain,
( ( $false != vAPP($o,$o,f0,$true) )
| ( $true != vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,$true))) )
| ( $false != vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,$false)))) )
| ( $false != vAPP($o,$o,f1,$false) )
| ( $false = vAPP($o,$o,f1,vAPP($o,$o,f1,$true)) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f1095,plain,
( ( $false != vAPP($o,$o,f0,$true) )
| ( $true != vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,$true))) )
| ( $false != vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,$false)))) )
| ( $false != vAPP($o,$o,f1,$false) )
| ( $false = vAPP($o,$o,f1,$true) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f1094,plain,
( ( $false != vAPP($o,$o,f0,$true) )
| ( $true != vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,$true))) )
| ( $false != vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,$false)))) )
| ( $false != vAPP($o,$o,f1,$false) )
| ( $true = vAPP($o,$o,f1,$true) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f1093,plain,
( ( $false != vAPP($o,$o,f1,$false) )
| ( $false != vAPP($o,$o,f0,$true) )
| ( $false != vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,$false)))) )
| ( $true != vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,$true))) )
| ( $true = vAPP($o,$o,f0,$false) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f1092,plain,
( ( $false != vAPP($o,$o,f1,$false) )
| ( $false != vAPP($o,$o,f0,$true) )
| ( $false != vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,$false)))) )
| ( $true != vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,$true))) )
| ( $true = vAPP($o,$o,f0,vAPP($o,$o,f1,$true)) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f1091,plain,
( ( $false != vAPP($o,$o,f1,$false) )
| ( $false != vAPP($o,$o,f0,$true) )
| ( $false != vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,$false)))) )
| ( $false = vAPP($o,$o,f0,vAPP($o,$o,f0,$true)) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f1090,plain,
( ( $false != vAPP($o,$o,f1,$false) )
| ( $true != vAPP($o,$o,f0,vAPP($o,$o,f1,$false)) )
| ( $false != vAPP($o,$o,f0,$true) )
| ( $true != vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,$true))) )
| ( $true = $false ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f1089,plain,
( ( $false != vAPP($o,$o,f1,$false) )
| ( $true != vAPP($o,$o,f0,vAPP($o,$o,f1,$false)) )
| ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x)))) != $false )
| ( $false != vAPP($o,$o,f0,$true) )
| ( $true != vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,$true))) )
| ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x)))) = $true ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f1088,plain,
( ( $false != vAPP($o,$o,f1,$false) )
| ( $true != vAPP($o,$o,f0,vAPP($o,$o,f1,$false)) )
| ( $false != vAPP($o,$o,f0,$true) )
| ( $true != vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,$true))) )
| ( vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,x)))) != $true )
| ( vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,x)))) = $false ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f1087,plain,
( ( $false != vAPP($o,$o,f1,$false) )
| ( $false != vAPP($o,$o,f0,$true) )
| ( $true != vAPP($o,$o,f0,vAPP($o,$o,f1,$false)) )
| ( $true != vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,$true))) )
| ( $true = vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,$true)))) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f1086,plain,
( ( $false != vAPP($o,$o,f0,$true) )
| ( $false != vAPP($o,$o,f1,$false) )
| ( $true != vAPP($o,$o,f0,vAPP($o,$o,f1,$false)) )
| ( $true = vAPP($o,$o,f0,vAPP($o,$o,f0,$true)) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f1085,plain,
( ( $false != vAPP($o,$o,f0,$true) )
| ( $false != vAPP($o,$o,f1,$false) )
| ( $true != vAPP($o,$o,f0,vAPP($o,$o,f1,$false)) )
| ( $true != vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,$true))) )
| ( $true = vAPP($o,$o,f0,$true) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f1084,plain,
( ( $false != vAPP($o,$o,f1,$false) )
| ( $false != vAPP($o,$o,f0,$true) )
| ( $true != vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,$true))) )
| ( $true != vAPP($o,$o,f0,vAPP($o,$o,f1,$false)) )
| ( $false = vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,$false)))) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f1083,plain,
( ( $true != vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,$true))) )
| ( $false != vAPP($o,$o,f1,$false) )
| ( $true != vAPP($o,$o,f0,vAPP($o,$o,f1,$false)) )
| ( $false != vAPP($o,$o,f0,$true) )
| ( $false = vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,$true))) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f1082,plain,
( ( $true != vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,$true))) )
| ( $false != vAPP($o,$o,f1,$false) )
| ( $true != vAPP($o,$o,f0,vAPP($o,$o,f1,$false)) )
| ( $false != vAPP($o,$o,f0,$true) )
| ( $false = vAPP($o,$o,f0,vAPP($o,$o,f1,$true)) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f1081,plain,
( ( $true != vAPP($o,$o,f0,vAPP($o,$o,f1,$false)) )
| ( $false != vAPP($o,$o,f1,$false) )
| ( $false != vAPP($o,$o,f0,$true) )
| ( $true != vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,$true))) )
| ( $true = vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,$false))) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f1080,plain,
( ( $true != vAPP($o,$o,f0,vAPP($o,$o,f1,$false)) )
| ( $false != vAPP($o,$o,f1,$false) )
| ( $false != vAPP($o,$o,f0,$true) )
| ( $true != vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,$true))) )
| ( $true = vAPP($o,$o,f1,$false) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f1079,plain,
( ( $true != vAPP($o,$o,f0,vAPP($o,$o,f1,$false)) )
| ( $false != vAPP($o,$o,f0,$true) )
| ( $true != vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,$true))) )
| ( $false != vAPP($o,$o,f1,$false) )
| ( $false = vAPP($o,$o,f1,vAPP($o,$o,f1,$true)) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f1078,plain,
( ( $false != vAPP($o,$o,f1,$false) )
| ( $false != vAPP($o,$o,f0,$true) )
| ( $true != vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,$true))) )
| ( $true != vAPP($o,$o,f0,vAPP($o,$o,f1,$false)) )
| ( $false = vAPP($o,$o,f0,$false) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f1077,plain,
( ( $true != vAPP($o,$o,f0,vAPP($o,$o,f1,$false)) )
| ( $false != vAPP($o,$o,f0,$true) )
| ( $true != vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,$true))) )
| ( $false != vAPP($o,$o,f1,$false) )
| ( $false = vAPP($o,$o,f1,$true) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f1076,plain,
( ( $true != vAPP($o,$o,f0,vAPP($o,$o,f1,$false)) )
| ( $false != vAPP($o,$o,f1,$false) )
| ( $false != vAPP($o,$o,f0,$true) )
| ( $true != vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,$true))) )
| ( $true = vAPP($o,$o,f1,$true) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f1075,plain,
( ( $false != vAPP($o,$o,f1,$false) )
| ( $false != vAPP($o,$o,f0,$true) )
| ( $true != vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,$true))) )
| ( $true != vAPP($o,$o,f0,vAPP($o,$o,f1,$false)) )
| ( $false = vAPP($o,$o,f0,vAPP($o,$o,f1,$false)) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f1074,plain,
( ( $false != vAPP($o,$o,f1,$false) )
| ( $false != vAPP($o,$o,f0,$true) )
| ( $true != vAPP($o,$o,f0,vAPP($o,$o,f1,$false)) )
| ( $true != vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,$true))) )
| ( $true = vAPP($o,$o,f0,vAPP($o,$o,f1,$true)) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f1073,plain,
( ( $false != vAPP($o,$o,f1,$false) )
| ( $false != vAPP($o,$o,f0,$true) )
| ( $true != vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,$true))) )
| ( $true != vAPP($o,$o,f0,vAPP($o,$o,f1,$false)) )
| ( $false = vAPP($o,$o,f0,vAPP($o,$o,f0,$true)) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f1072,plain,
( spl0_16
| spl0_17 ),
inference(avatar_contradiction_clause,[],[f1071]) ).
thf(f1071,plain,
( $false
| spl0_16
| spl0_17 ),
inference(subsumption_resolution,[],[f1032,f1006]) ).
thf(f1006,plain,
( ! [X0: $o] : ( $false = X0 )
| spl0_16
| spl0_17 ),
inference(subsumption_resolution,[],[f984,f174]) ).
thf(f174,plain,
( ! [X0: $o] :
( ( $false != vAPP($o,$o,f0,X0) )
| ( $false = X0 ) )
| spl0_17 ),
inference(superposition,[],[f136,f4]) ).
thf(f136,plain,
( ( $false != vAPP($o,$o,f0,$true) )
| spl0_17 ),
inference(avatar_component_clause,[],[f134]) ).
thf(f984,plain,
( ! [X0: $o] :
( ( $false = vAPP($o,$o,f0,X0) )
| ( $false = X0 ) )
| spl0_16 ),
inference(duplicate_literal_removal,[],[f983]) ).
thf(f983,plain,
( ! [X0: $o] :
( ( $false = vAPP($o,$o,f0,X0) )
| ( $false = X0 )
| ( $false = X0 ) )
| spl0_16 ),
inference(binary_proxy_clausification,[],[f930]) ).
thf(f930,plain,
( ! [X0: $o] :
( ( vAPP($o,$o,f0,X0) != X0 )
| ( $false = X0 ) )
| spl0_16 ),
inference(superposition,[],[f117,f4]) ).
thf(f1032,plain,
( ( $true != $false )
| spl0_16
| spl0_17 ),
inference(backward_demodulation,[],[f117,f1006]) ).
thf(f1070,plain,
( spl0_12
| spl0_16
| spl0_17 ),
inference(avatar_contradiction_clause,[],[f1069]) ).
thf(f1069,plain,
( $false
| spl0_12
| spl0_16
| spl0_17 ),
inference(subsumption_resolution,[],[f1030,f1006]) ).
thf(f1030,plain,
( ( $true != $false )
| spl0_12
| spl0_16
| spl0_17 ),
inference(backward_demodulation,[],[f98,f1006]) ).
thf(f1068,plain,
( spl0_16
| spl0_17
| spl0_35 ),
inference(avatar_contradiction_clause,[],[f1067]) ).
thf(f1067,plain,
( $false
| spl0_16
| spl0_17
| spl0_35 ),
inference(subsumption_resolution,[],[f1066,f1006]) ).
thf(f1066,plain,
( ( $true != $false )
| spl0_16
| spl0_17
| spl0_35 ),
inference(forward_demodulation,[],[f1028,f1006]) ).
thf(f1028,plain,
( ( $true != vAPP($o,$o,f0,$false) )
| spl0_16
| spl0_17
| spl0_35 ),
inference(backward_demodulation,[],[f450,f1006]) ).
thf(f1065,plain,
( spl0_16
| spl0_17
| spl0_32 ),
inference(avatar_contradiction_clause,[],[f1064]) ).
thf(f1064,plain,
( $false
| spl0_16
| spl0_17
| spl0_32 ),
inference(subsumption_resolution,[],[f1027,f1006]) ).
thf(f1027,plain,
( ( $true != $false )
| spl0_16
| spl0_17
| spl0_32 ),
inference(backward_demodulation,[],[f310,f1006]) ).
thf(f310,plain,
( ( $true != vAPP($o,$o,f1,$true) )
| spl0_32 ),
inference(avatar_component_clause,[],[f308]) ).
thf(f1063,plain,
( spl0_7
| spl0_16
| spl0_17 ),
inference(avatar_contradiction_clause,[],[f1062]) ).
thf(f1062,plain,
( $false
| spl0_7
| spl0_16
| spl0_17 ),
inference(subsumption_resolution,[],[f1061,f1006]) ).
thf(f1061,plain,
( ( $true != $false )
| spl0_7
| spl0_16
| spl0_17 ),
inference(forward_demodulation,[],[f1026,f1006]) ).
thf(f1026,plain,
( ( $true != vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,$false))) )
| spl0_7
| spl0_16
| spl0_17 ),
inference(backward_demodulation,[],[f76,f1006]) ).
thf(f76,plain,
( ( $true != vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,$true)))) )
| spl0_7 ),
inference(avatar_component_clause,[],[f75]) ).
thf(f75,plain,
( spl0_7
<=> ( $true = vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,$true)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).
thf(f1060,plain,
( spl0_16
| spl0_17
| spl0_36 ),
inference(avatar_contradiction_clause,[],[f1059]) ).
thf(f1059,plain,
( $false
| spl0_16
| spl0_17
| spl0_36 ),
inference(subsumption_resolution,[],[f1024,f1006]) ).
thf(f1024,plain,
( ( $true != $false )
| spl0_16
| spl0_17
| spl0_36 ),
inference(backward_demodulation,[],[f594,f1006]) ).
thf(f1058,plain,
( spl0_15
| spl0_16
| spl0_17 ),
inference(avatar_contradiction_clause,[],[f1057]) ).
thf(f1057,plain,
( $false
| spl0_15
| spl0_16
| spl0_17 ),
inference(subsumption_resolution,[],[f1056,f1006]) ).
thf(f1056,plain,
( ( $true != $false )
| spl0_15
| spl0_16
| spl0_17 ),
inference(forward_demodulation,[],[f1023,f1006]) ).
thf(f1023,plain,
( ( $true != vAPP($o,$o,f0,vAPP($o,$o,f1,$false)) )
| spl0_15
| spl0_16
| spl0_17 ),
inference(backward_demodulation,[],[f113,f1006]) ).
thf(f1055,plain,
( spl0_10
| spl0_16
| spl0_17 ),
inference(avatar_contradiction_clause,[],[f1054]) ).
thf(f1054,plain,
( $false
| spl0_10
| spl0_16
| spl0_17 ),
inference(subsumption_resolution,[],[f1053,f1006]) ).
thf(f1053,plain,
( ( $true != $false )
| spl0_10
| spl0_16
| spl0_17 ),
inference(forward_demodulation,[],[f1022,f1006]) ).
thf(f1022,plain,
( ( $true != vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,$false))) )
| spl0_10
| spl0_16
| spl0_17 ),
inference(backward_demodulation,[],[f90,f1006]) ).
thf(f90,plain,
( ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x))) != $true )
| spl0_10 ),
inference(avatar_component_clause,[],[f89]) ).
thf(f89,plain,
( spl0_10
<=> ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x))) = $true ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).
thf(f1052,plain,
( ~ spl0_2
| spl0_16
| spl0_17 ),
inference(avatar_contradiction_clause,[],[f1051]) ).
thf(f1051,plain,
( $false
| ~ spl0_2
| spl0_16
| spl0_17 ),
inference(trivial_inequality_removal,[],[f1050]) ).
thf(f1050,plain,
( ( $true = $false )
| ~ spl0_2
| spl0_16
| spl0_17 ),
inference(forward_demodulation,[],[f1021,f1006]) ).
thf(f1021,plain,
( ( $true = vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,$false)))) )
| ~ spl0_2
| spl0_16
| spl0_17 ),
inference(backward_demodulation,[],[f17,f1006]) ).
thf(f17,plain,
( ( vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,x)))) = $true )
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f15]) ).
thf(f15,plain,
( spl0_2
<=> ( vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,x)))) = $true ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
thf(f1049,plain,
( spl0_6
| spl0_16
| spl0_17 ),
inference(avatar_contradiction_clause,[],[f1020]) ).
thf(f1020,plain,
( $false
| spl0_6
| spl0_16
| spl0_17 ),
inference(subsumption_resolution,[],[f72,f1006]) ).
thf(f1048,plain,
( spl0_8
| spl0_16
| spl0_17 ),
inference(avatar_contradiction_clause,[],[f1019]) ).
thf(f1019,plain,
( $false
| spl0_8
| spl0_16
| spl0_17 ),
inference(subsumption_resolution,[],[f81,f1006]) ).
thf(f1047,plain,
( spl0_13
| spl0_16
| spl0_17 ),
inference(avatar_contradiction_clause,[],[f1018]) ).
thf(f1018,plain,
( $false
| spl0_13
| spl0_16
| spl0_17 ),
inference(subsumption_resolution,[],[f103,f1006]) ).
thf(f103,plain,
( ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x))) != $false )
| spl0_13 ),
inference(avatar_component_clause,[],[f102]) ).
thf(f102,plain,
( spl0_13
<=> ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x))) = $false ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).
thf(f1046,plain,
( spl0_4
| spl0_16
| spl0_17 ),
inference(avatar_contradiction_clause,[],[f1017]) ).
thf(f1017,plain,
( $false
| spl0_4
| spl0_16
| spl0_17 ),
inference(subsumption_resolution,[],[f25,f1006]) ).
thf(f25,plain,
( ( vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,x)))) != $false )
| spl0_4 ),
inference(avatar_component_clause,[],[f24]) ).
thf(f24,plain,
( spl0_4
<=> ( vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,x)))) = $false ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).
thf(f1045,plain,
( spl0_1
| spl0_16
| spl0_17 ),
inference(avatar_contradiction_clause,[],[f1016]) ).
thf(f1016,plain,
( $false
| spl0_1
| spl0_16
| spl0_17 ),
inference(subsumption_resolution,[],[f12,f1006]) ).
thf(f12,plain,
( ( $true != $false )
| spl0_1 ),
inference(avatar_component_clause,[],[f10]) ).
thf(f1044,plain,
( spl0_16
| spl0_17 ),
inference(avatar_contradiction_clause,[],[f1015]) ).
thf(f1015,plain,
( $false
| spl0_16
| spl0_17 ),
inference(subsumption_resolution,[],[f136,f1006]) ).
thf(f1043,plain,
( spl0_16
| spl0_17
| spl0_30 ),
inference(avatar_contradiction_clause,[],[f1014]) ).
thf(f1014,plain,
( $false
| spl0_16
| spl0_17
| spl0_30 ),
inference(subsumption_resolution,[],[f269,f1006]) ).
thf(f269,plain,
( ( $false != vAPP($o,$o,f0,$false) )
| spl0_30 ),
inference(avatar_component_clause,[],[f268]) ).
thf(f1042,plain,
( spl0_16
| spl0_17
| spl0_37 ),
inference(avatar_contradiction_clause,[],[f1013]) ).
thf(f1013,plain,
( $false
| spl0_16
| spl0_17
| spl0_37 ),
inference(subsumption_resolution,[],[f794,f1006]) ).
thf(f794,plain,
( ( $false != vAPP($o,$o,f0,vAPP($o,$o,f0,$true)) )
| spl0_37 ),
inference(avatar_component_clause,[],[f793]) ).
thf(f1041,plain,
( spl0_16
| spl0_17
| spl0_24 ),
inference(avatar_contradiction_clause,[],[f1011]) ).
thf(f1011,plain,
( $false
| spl0_16
| spl0_17
| spl0_24 ),
inference(subsumption_resolution,[],[f222,f1006]) ).
thf(f222,plain,
( ( $false != vAPP($o,$o,f0,vAPP($o,$o,f1,$true)) )
| spl0_24 ),
inference(avatar_component_clause,[],[f221]) ).
thf(f1040,plain,
( spl0_16
| spl0_17
| spl0_29 ),
inference(avatar_contradiction_clause,[],[f1009]) ).
thf(f1009,plain,
( $false
| spl0_16
| spl0_17
| spl0_29 ),
inference(subsumption_resolution,[],[f263,f1006]) ).
thf(f1039,plain,
( spl0_16
| spl0_17
| spl0_31 ),
inference(avatar_contradiction_clause,[],[f1008]) ).
thf(f1008,plain,
( $false
| spl0_16
| spl0_17
| spl0_31 ),
inference(subsumption_resolution,[],[f303,f1006]) ).
thf(f1038,plain,
( spl0_16
| spl0_17
| ~ spl0_28 ),
inference(avatar_contradiction_clause,[],[f1037]) ).
thf(f1037,plain,
( $false
| spl0_16
| spl0_17
| ~ spl0_28 ),
inference(trivial_inequality_removal,[],[f1025]) ).
thf(f1025,plain,
( ( $true = $false )
| spl0_16
| spl0_17
| ~ spl0_28 ),
inference(backward_demodulation,[],[f257,f1006]) ).
thf(f1036,plain,
( ~ spl0_9
| spl0_16
| spl0_17 ),
inference(avatar_contradiction_clause,[],[f1035]) ).
thf(f1035,plain,
( $false
| ~ spl0_9
| spl0_16
| spl0_17 ),
inference(trivial_inequality_removal,[],[f1029]) ).
thf(f1029,plain,
( ( $true = $false )
| ~ spl0_9
| spl0_16
| spl0_17 ),
inference(backward_demodulation,[],[f86,f1006]) ).
thf(f86,plain,
( ( $true = vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,$true))) )
| ~ spl0_9 ),
inference(avatar_component_clause,[],[f84]) ).
thf(f84,plain,
( spl0_9
<=> ( $true = vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,$true))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).
thf(f1034,plain,
( spl0_16
| spl0_17
| ~ spl0_34 ),
inference(avatar_contradiction_clause,[],[f1033]) ).
thf(f1033,plain,
( $false
| spl0_16
| spl0_17
| ~ spl0_34 ),
inference(trivial_inequality_removal,[],[f1031]) ).
thf(f1031,plain,
( ( $true = $false )
| spl0_16
| spl0_17
| ~ spl0_34 ),
inference(backward_demodulation,[],[f395,f1006]) ).
thf(f395,plain,
( ( $true = vAPP($o,$o,f0,$false) )
| ~ spl0_34 ),
inference(avatar_component_clause,[],[f394]) ).
thf(f394,plain,
( spl0_34
<=> ( $true = vAPP($o,$o,f0,$false) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_34])]) ).
thf(f915,plain,
( spl0_12
| spl0_17
| spl0_31
| ~ spl0_35 ),
inference(avatar_contradiction_clause,[],[f914]) ).
thf(f914,plain,
( $false
| spl0_12
| spl0_17
| spl0_31
| ~ spl0_35 ),
inference(subsumption_resolution,[],[f913,f136]) ).
thf(f913,plain,
( ( $false = vAPP($o,$o,f0,$true) )
| spl0_12
| spl0_31
| ~ spl0_35 ),
inference(subsumption_resolution,[],[f900,f303]) ).
thf(f900,plain,
( ( $false = vAPP($o,$o,f1,$true) )
| ( $false = vAPP($o,$o,f0,$true) )
| spl0_12
| ~ spl0_35 ),
inference(binary_proxy_clausification,[],[f898]) ).
thf(f898,plain,
( ( vAPP($o,$o,f1,$true) != vAPP($o,$o,f0,$true) )
| spl0_12
| ~ spl0_35 ),
inference(trivial_inequality_removal,[],[f894]) ).
thf(f894,plain,
( ( $true != $true )
| ( vAPP($o,$o,f1,$true) != vAPP($o,$o,f0,$true) )
| spl0_12
| ~ spl0_35 ),
inference(constrained_superposition,[],[f98,f451]) ).
thf(f451,plain,
( ( $true = vAPP($o,$o,f0,vAPP($o,$o,f1,$true)) )
| ~ spl0_35 ),
inference(avatar_component_clause,[],[f449]) ).
thf(f912,plain,
( spl0_12
| spl0_16
| spl0_32
| ~ spl0_35 ),
inference(avatar_contradiction_clause,[],[f911]) ).
thf(f911,plain,
( $false
| spl0_12
| spl0_16
| spl0_32
| ~ spl0_35 ),
inference(subsumption_resolution,[],[f910,f117]) ).
thf(f910,plain,
( ( $true = vAPP($o,$o,f0,$true) )
| spl0_12
| spl0_32
| ~ spl0_35 ),
inference(subsumption_resolution,[],[f899,f310]) ).
thf(f899,plain,
( ( $true = vAPP($o,$o,f1,$true) )
| ( $true = vAPP($o,$o,f0,$true) )
| spl0_12
| ~ spl0_35 ),
inference(binary_proxy_clausification,[],[f898]) ).
thf(f909,plain,
( spl0_8
| spl0_15
| spl0_31
| ~ spl0_35 ),
inference(avatar_contradiction_clause,[],[f908]) ).
thf(f908,plain,
( $false
| spl0_8
| spl0_15
| spl0_31
| ~ spl0_35 ),
inference(subsumption_resolution,[],[f907,f303]) ).
thf(f907,plain,
( ( $false = vAPP($o,$o,f1,$true) )
| spl0_8
| spl0_15
| ~ spl0_35 ),
inference(subsumption_resolution,[],[f904,f81]) ).
thf(f904,plain,
( ( vAPP($o,$o,f1,x) = $false )
| ( $false = vAPP($o,$o,f1,$true) )
| spl0_15
| ~ spl0_35 ),
inference(binary_proxy_clausification,[],[f902]) ).
thf(f902,plain,
( ( vAPP($o,$o,f1,x) != vAPP($o,$o,f1,$true) )
| spl0_15
| ~ spl0_35 ),
inference(trivial_inequality_removal,[],[f887]) ).
thf(f887,plain,
( ( $true != $true )
| ( vAPP($o,$o,f1,x) != vAPP($o,$o,f1,$true) )
| spl0_15
| ~ spl0_35 ),
inference(constrained_superposition,[],[f113,f451]) ).
thf(f906,plain,
( spl0_11
| spl0_15
| spl0_32
| ~ spl0_35 ),
inference(avatar_split_clause,[],[f905,f449,f308,f112,f93]) ).
thf(f93,plain,
( spl0_11
<=> ( vAPP($o,$o,f1,x) = $true ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).
thf(f905,plain,
( ( vAPP($o,$o,f1,x) = $true )
| spl0_15
| spl0_32
| ~ spl0_35 ),
inference(subsumption_resolution,[],[f903,f310]) ).
thf(f903,plain,
( ( vAPP($o,$o,f1,x) = $true )
| ( $true = vAPP($o,$o,f1,$true) )
| spl0_15
| ~ spl0_35 ),
inference(binary_proxy_clausification,[],[f902]) ).
thf(f850,plain,
( spl0_17
| spl0_24
| spl0_31
| ~ spl0_37 ),
inference(avatar_contradiction_clause,[],[f849]) ).
thf(f849,plain,
( $false
| spl0_17
| spl0_24
| spl0_31
| ~ spl0_37 ),
inference(subsumption_resolution,[],[f848,f136]) ).
thf(f848,plain,
( ( $false = vAPP($o,$o,f0,$true) )
| spl0_24
| spl0_31
| ~ spl0_37 ),
inference(subsumption_resolution,[],[f837,f303]) ).
thf(f837,plain,
( ( $false = vAPP($o,$o,f1,$true) )
| ( $false = vAPP($o,$o,f0,$true) )
| spl0_24
| ~ spl0_37 ),
inference(binary_proxy_clausification,[],[f835]) ).
thf(f835,plain,
( ( vAPP($o,$o,f1,$true) != vAPP($o,$o,f0,$true) )
| spl0_24
| ~ spl0_37 ),
inference(trivial_inequality_removal,[],[f834]) ).
thf(f834,plain,
( ( $false != $false )
| ( vAPP($o,$o,f1,$true) != vAPP($o,$o,f0,$true) )
| spl0_24
| ~ spl0_37 ),
inference(constrained_superposition,[],[f222,f795]) ).
thf(f795,plain,
( ( $false = vAPP($o,$o,f0,vAPP($o,$o,f0,$true)) )
| ~ spl0_37 ),
inference(avatar_component_clause,[],[f793]) ).
thf(f847,plain,
( spl0_16
| spl0_24
| spl0_32
| ~ spl0_37 ),
inference(avatar_contradiction_clause,[],[f846]) ).
thf(f846,plain,
( $false
| spl0_16
| spl0_24
| spl0_32
| ~ spl0_37 ),
inference(subsumption_resolution,[],[f845,f117]) ).
thf(f845,plain,
( ( $true = vAPP($o,$o,f0,$true) )
| spl0_24
| spl0_32
| ~ spl0_37 ),
inference(subsumption_resolution,[],[f836,f310]) ).
thf(f836,plain,
( ( $true = vAPP($o,$o,f1,$true) )
| ( $true = vAPP($o,$o,f0,$true) )
| spl0_24
| ~ spl0_37 ),
inference(binary_proxy_clausification,[],[f835]) ).
thf(f844,plain,
( spl0_17
| ~ spl0_37 ),
inference(avatar_contradiction_clause,[],[f843]) ).
thf(f843,plain,
( $false
| spl0_17
| ~ spl0_37 ),
inference(subsumption_resolution,[],[f841,f136]) ).
thf(f841,plain,
( ( $false = vAPP($o,$o,f0,$true) )
| spl0_17
| ~ spl0_37 ),
inference(trivial_inequality_removal,[],[f829]) ).
thf(f829,plain,
( ( $false != $false )
| ( $false = vAPP($o,$o,f0,$true) )
| spl0_17
| ~ spl0_37 ),
inference(superposition,[],[f174,f795]) ).
thf(f816,plain,
( spl0_6
| ~ spl0_8
| spl0_31 ),
inference(avatar_split_clause,[],[f812,f302,f80,f71]) ).
thf(f812,plain,
( ( x = $false )
| ~ spl0_8
| spl0_31 ),
inference(trivial_inequality_removal,[],[f807]) ).
thf(f807,plain,
( ( $false != $false )
| ( x = $false )
| ~ spl0_8
| spl0_31 ),
inference(superposition,[],[f371,f82]) ).
thf(f82,plain,
( ( vAPP($o,$o,f1,x) = $false )
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f80]) ).
thf(f815,plain,
( ~ spl0_36
| ~ spl0_8
| spl0_31 ),
inference(avatar_split_clause,[],[f811,f302,f80,f593]) ).
thf(f811,plain,
( ( x != $true )
| ~ spl0_8
| spl0_31 ),
inference(trivial_inequality_removal,[],[f810]) ).
thf(f810,plain,
( ( $false != $false )
| ( x != $true )
| ~ spl0_8
| spl0_31 ),
inference(constrained_superposition,[],[f303,f82]) ).
thf(f814,plain,
( spl0_6
| ~ spl0_8
| spl0_31 ),
inference(avatar_contradiction_clause,[],[f813]) ).
thf(f813,plain,
( $false
| spl0_6
| ~ spl0_8
| spl0_31 ),
inference(subsumption_resolution,[],[f812,f72]) ).
thf(f796,plain,
( spl0_37
| ~ spl0_5
| ~ spl0_8
| ~ spl0_34 ),
inference(avatar_split_clause,[],[f791,f394,f80,f28,f793]) ).
thf(f28,plain,
( spl0_5
<=> ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x)))) = $false ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).
thf(f791,plain,
( ( $false = vAPP($o,$o,f0,vAPP($o,$o,f0,$true)) )
| ~ spl0_5
| ~ spl0_8
| ~ spl0_34 ),
inference(forward_demodulation,[],[f790,f395]) ).
thf(f790,plain,
( ( $false = vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,$false))) )
| ~ spl0_5
| ~ spl0_8 ),
inference(forward_demodulation,[],[f30,f82]) ).
thf(f30,plain,
( ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x)))) = $false )
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f28]) ).
thf(f778,plain,
( ~ spl0_30
| ~ spl0_18
| spl0_33 ),
inference(avatar_split_clause,[],[f777,f362,f146,f268]) ).
thf(f777,plain,
( ( $false != vAPP($o,$o,f0,$false) )
| ~ spl0_18
| spl0_33 ),
inference(forward_demodulation,[],[f364,f147]) ).
thf(f364,plain,
( ( $false != vAPP($o,$o,f0,vAPP($o,$o,f1,$false)) )
| spl0_33 ),
inference(avatar_component_clause,[],[f362]) ).
thf(f776,plain,
( spl0_8
| spl0_16
| ~ spl0_15 ),
inference(avatar_split_clause,[],[f440,f112,f116,f80]) ).
thf(f440,plain,
( ( $true = vAPP($o,$o,f0,$true) )
| ( vAPP($o,$o,f1,x) = $false )
| ~ spl0_15 ),
inference(superposition,[],[f114,f4]) ).
thf(f114,plain,
( ( vAPP($o,$o,f0,vAPP($o,$o,f1,x)) = $true )
| ~ spl0_15 ),
inference(avatar_component_clause,[],[f112]) ).
thf(f775,plain,
( ( $false != vAPP($o,$o,f1,$true) )
| ( $true != vAPP($o,$o,f1,vAPP($o,$o,f1,$true)) )
| ( $false != vAPP($o,$o,f1,$false) )
| ( $true = $false ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f774,plain,
( ( $false != vAPP($o,$o,f1,$true) )
| ( $true != vAPP($o,$o,f1,vAPP($o,$o,f1,$true)) )
| ( $false != vAPP($o,$o,f1,$false) )
| ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x)))) != $false )
| ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x)))) = $true ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f773,plain,
( ( $false != vAPP($o,$o,f1,$true) )
| ( vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,x)))) != $true )
| ( $true != vAPP($o,$o,f1,vAPP($o,$o,f1,$true)) )
| ( $false != vAPP($o,$o,f1,$false) )
| ( vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,x)))) = $false ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f772,plain,
( ( vAPP($o,$o,f1,x) != $false )
| ( vAPP($o,$o,f0,vAPP($o,$o,f1,x)) != $true )
| ( $false != vAPP($o,$o,f1,$true) )
| ( $true != vAPP($o,$o,f1,vAPP($o,$o,f1,$true)) )
| ( $false != vAPP($o,$o,f1,$false) )
| ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x)))) != $false )
| ( $true = vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,$true)))) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f771,plain,
( ( vAPP($o,$o,f1,x) != $false )
| ( $false != vAPP($o,$o,f1,$true) )
| ( $true != vAPP($o,$o,f1,vAPP($o,$o,f1,$true)) )
| ( $false != vAPP($o,$o,f1,$false) )
| ( vAPP($o,$o,f0,vAPP($o,$o,f1,x)) != $true )
| ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x))) = $true ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f770,plain,
( ( vAPP($o,$o,f0,vAPP($o,$o,f1,x)) != $true )
| ( $false != vAPP($o,$o,f1,$true) )
| ( $true != vAPP($o,$o,f1,vAPP($o,$o,f1,$true)) )
| ( $false != vAPP($o,$o,f1,$false) )
| ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x)))) != $false )
| ( $true = vAPP($o,$o,f0,vAPP($o,$o,f0,$true)) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f769,plain,
( ( $false != vAPP($o,$o,f1,$true) )
| ( vAPP($o,$o,f1,x) != $false )
| ( vAPP($o,$o,f0,vAPP($o,$o,f1,x)) != $true )
| ( $true != vAPP($o,$o,f1,vAPP($o,$o,f1,$true)) )
| ( $false != vAPP($o,$o,f1,$false) )
| ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x))) = $false ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f768,plain,
( ( vAPP($o,$o,f1,x) != $false )
| ( $false != vAPP($o,$o,f1,$true) )
| ( $true != vAPP($o,$o,f1,vAPP($o,$o,f1,$true)) )
| ( $false != vAPP($o,$o,f1,$false) )
| ( vAPP($o,$o,f0,vAPP($o,$o,f1,x)) != $true )
| ( $true = vAPP($o,$o,f0,$true) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f767,plain,
( ( $false != vAPP($o,$o,f1,$true) )
| ( vAPP($o,$o,f1,x) != $false )
| ( vAPP($o,$o,f0,vAPP($o,$o,f1,x)) != $true )
| ( $true != vAPP($o,$o,f1,vAPP($o,$o,f1,$true)) )
| ( $false != vAPP($o,$o,f1,$false) )
| ( $false = vAPP($o,$o,f0,$true) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f766,plain,
( ( $false != vAPP($o,$o,f1,$true) )
| ( vAPP($o,$o,f1,x) != $false )
| ( vAPP($o,$o,f0,vAPP($o,$o,f1,x)) != $true )
| ( $true != vAPP($o,$o,f1,vAPP($o,$o,f1,$true)) )
| ( $false != vAPP($o,$o,f1,$false) )
| ( $false = vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,$false)))) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f765,plain,
( ( $false != vAPP($o,$o,f1,$true) )
| ( vAPP($o,$o,f1,x) != $false )
| ( vAPP($o,$o,f0,vAPP($o,$o,f1,x)) != $true )
| ( $true != vAPP($o,$o,f1,vAPP($o,$o,f1,$true)) )
| ( $false != vAPP($o,$o,f1,$false) )
| ( $false = vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,$true))) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f764,plain,
( ( vAPP($o,$o,f1,x) != $false )
| ( $false != vAPP($o,$o,f1,$true) )
| ( vAPP($o,$o,f0,vAPP($o,$o,f1,x)) != $true )
| ( $true != vAPP($o,$o,f1,vAPP($o,$o,f1,$true)) )
| ( $false != vAPP($o,$o,f1,$false) )
| ( $false = vAPP($o,$o,f0,vAPP($o,$o,f1,$true)) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f763,plain,
( ( vAPP($o,$o,f1,x) != $false )
| ( $false != vAPP($o,$o,f1,$false) )
| ( $false != vAPP($o,$o,f1,$true) )
| ( $true != vAPP($o,$o,f1,vAPP($o,$o,f1,$true)) )
| ( $true = vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,$false))) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f762,plain,
( ( $false != vAPP($o,$o,f1,$true) )
| ( $true != vAPP($o,$o,f1,vAPP($o,$o,f1,$true)) )
| ( $true = vAPP($o,$o,f1,$false) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f761,plain,
( ( $false != vAPP($o,$o,f1,$true) )
| ( vAPP($o,$o,f1,x) != $false )
| ( vAPP($o,$o,f0,vAPP($o,$o,f1,x)) != $true )
| ( $true != vAPP($o,$o,f1,vAPP($o,$o,f1,$true)) )
| ( $false != vAPP($o,$o,f1,$false) )
| ( $false = vAPP($o,$o,f0,$false) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f760,plain,
( ( $true != vAPP($o,$o,f1,vAPP($o,$o,f1,$true)) )
| ( $false != vAPP($o,$o,f1,$false) )
| ( $false != vAPP($o,$o,f1,$true) )
| ( $true = vAPP($o,$o,f1,$true) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f759,plain,
( ( $false != vAPP($o,$o,f1,$true) )
| ( vAPP($o,$o,f1,x) != $false )
| ( vAPP($o,$o,f0,vAPP($o,$o,f1,x)) != $true )
| ( $true != vAPP($o,$o,f1,vAPP($o,$o,f1,$true)) )
| ( $false != vAPP($o,$o,f1,$false) )
| ( $false = vAPP($o,$o,f0,vAPP($o,$o,f1,$false)) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f758,plain,
( ( vAPP($o,$o,f1,x) != $false )
| ( $false != vAPP($o,$o,f1,$true) )
| ( vAPP($o,$o,f0,vAPP($o,$o,f1,x)) != $true )
| ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x)))) != $false )
| ( $true != vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,$true)))) )
| ( $true = $false ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f757,plain,
( ( vAPP($o,$o,f1,x) != $false )
| ( $false != vAPP($o,$o,f1,$true) )
| ( vAPP($o,$o,f0,vAPP($o,$o,f1,x)) != $true )
| ( $true != vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,$true)))) )
| ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x)))) = $true ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f756,plain,
( ( vAPP($o,$o,f1,x) != $false )
| ( $false != vAPP($o,$o,f1,$true) )
| ( vAPP($o,$o,f0,vAPP($o,$o,f1,x)) != $true )
| ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x)))) != $false )
| ( $true != vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,$true)))) )
| ( vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,x)))) != $true )
| ( vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,x)))) = $false ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f755,plain,
( ( vAPP($o,$o,f1,x) != $false )
| ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x)))) != $false )
| ( vAPP($o,$o,f0,vAPP($o,$o,f1,x)) != $true )
| ( $true = vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,$true))) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f754,plain,
( ( vAPP($o,$o,f1,x) != $false )
| ( $false != vAPP($o,$o,f1,$true) )
| ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x)))) != $false )
| ( $true != vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,$true)))) )
| ( vAPP($o,$o,f0,vAPP($o,$o,f1,x)) != $true )
| ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x))) = $true ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f753,plain,
( ( vAPP($o,$o,f1,x) != $false )
| ( $false != vAPP($o,$o,f1,$true) )
| ( vAPP($o,$o,f0,vAPP($o,$o,f1,x)) != $true )
| ( $true != vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,$true)))) )
| ( $true = vAPP($o,$o,f0,vAPP($o,$o,f0,$true)) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f752,plain,
( ( $false != vAPP($o,$o,f1,$true) )
| ( vAPP($o,$o,f1,x) != $false )
| ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x)))) != $false )
| ( vAPP($o,$o,f0,vAPP($o,$o,f1,x)) != $true )
| ( $true != vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,$true)))) )
| ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x))) = $false ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f751,plain,
( ( vAPP($o,$o,f1,x) != $false )
| ( $false != vAPP($o,$o,f1,$true) )
| ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x)))) != $false )
| ( $true != vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,$true)))) )
| ( vAPP($o,$o,f0,vAPP($o,$o,f1,x)) != $true )
| ( $true = vAPP($o,$o,f0,$true) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f750,plain,
( ( vAPP($o,$o,f1,x) != $false )
| ( $false != vAPP($o,$o,f1,$true) )
| ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x)))) != $false )
| ( $true != vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,$true)))) )
| ( vAPP($o,$o,f0,vAPP($o,$o,f1,x)) != $true )
| ( $false = vAPP($o,$o,f0,$true) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f749,plain,
( ( $false != vAPP($o,$o,f1,$true) )
| ( vAPP($o,$o,f1,x) != $false )
| ( $false != vAPP($o,$o,f1,$false) )
| ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x)))) != $false )
| ( $true != vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,$true)))) )
| ( vAPP($o,$o,f0,vAPP($o,$o,f1,x)) != $true )
| ( $false = vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,$false)))) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f748,plain,
( ( $false != vAPP($o,$o,f1,$true) )
| ( vAPP($o,$o,f1,x) != $false )
| ( $true != vAPP($o,$o,f1,vAPP($o,$o,f1,$true)) )
| ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x)))) != $false )
| ( vAPP($o,$o,f0,vAPP($o,$o,f1,x)) != $true )
| ( $true != vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,$true)))) )
| ( $false = vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,$true))) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f747,plain,
( ( vAPP($o,$o,f1,x) != $false )
| ( $false != vAPP($o,$o,f1,$true) )
| ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x)))) != $false )
| ( $true != vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,$true)))) )
| ( vAPP($o,$o,f0,vAPP($o,$o,f1,x)) != $true )
| ( $false = vAPP($o,$o,f0,vAPP($o,$o,f1,$true)) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f746,plain,
( ( $false != vAPP($o,$o,f1,$true) )
| ( vAPP($o,$o,f0,vAPP($o,$o,f1,x)) != $true )
| ( vAPP($o,$o,f1,x) != $false )
| ( $false != vAPP($o,$o,f1,$false) )
| ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x)))) != $false )
| ( $true != vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,$true)))) )
| ( $true = vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,$false))) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f745,plain,
( ( vAPP($o,$o,f1,x) != $false )
| ( $false != vAPP($o,$o,f1,$true) )
| ( vAPP($o,$o,f0,vAPP($o,$o,f1,x)) != $true )
| ( $false != vAPP($o,$o,f1,$false) )
| ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x)))) != $false )
| ( $true != vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,$true)))) )
| ( $true = vAPP($o,$o,f1,$false) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f744,plain,
( ( vAPP($o,$o,f1,x) != $false )
| ( $false != vAPP($o,$o,f1,$true) )
| ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x)))) != $false )
| ( $true != vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,$true)))) )
| ( vAPP($o,$o,f0,vAPP($o,$o,f1,x)) != $true )
| ( $false = vAPP($o,$o,f0,$false) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f743,plain,
( ( vAPP($o,$o,f1,x) != $false )
| ( vAPP($o,$o,f0,vAPP($o,$o,f1,x)) != $true )
| ( $false != vAPP($o,$o,f1,$true) )
| ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x)))) != $false )
| ( $true != vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,$true)))) )
| ( $true = vAPP($o,$o,f1,$true) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f742,plain,
( ( vAPP($o,$o,f1,x) != $false )
| ( $false != vAPP($o,$o,f1,$true) )
| ( $false != vAPP($o,$o,f1,$false) )
| ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x)))) != $false )
| ( $true != vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,$true)))) )
| ( vAPP($o,$o,f0,vAPP($o,$o,f1,x)) != $true )
| ( $false = vAPP($o,$o,f0,vAPP($o,$o,f1,$false)) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f741,plain,
( ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x))) != $false )
| ( vAPP($o,$o,f1,x) != $false )
| ( vAPP($o,$o,f0,vAPP($o,$o,f1,x)) != $true )
| ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x)))) != $false )
| ( $true = $false ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f740,plain,
( ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x))) != $false )
| ( vAPP($o,$o,f1,x) != $false )
| ( vAPP($o,$o,f0,vAPP($o,$o,f1,x)) != $true )
| ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x)))) = $true ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f739,plain,
( ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x))) != $false )
| ( vAPP($o,$o,f1,x) != $false )
| ( vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,x)))) != $true )
| ( vAPP($o,$o,f0,vAPP($o,$o,f1,x)) != $true )
| ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x)))) != $false )
| ( vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,x)))) = $false ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f738,plain,
( ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x))) != $false )
| ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x)))) != $false )
| ( vAPP($o,$o,f1,x) != $false )
| ( vAPP($o,$o,f0,vAPP($o,$o,f1,x)) != $true )
| ( $true = vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,$true))) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f737,plain,
( ( vAPP($o,$o,f1,x) != $false )
| ( vAPP($o,$o,f0,vAPP($o,$o,f1,x)) != $true )
| ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x)))) != $false )
| ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x))) != $false )
| ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x))) = $true ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f736,plain,
( ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x))) != $false )
| ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x)))) != $false )
| ( vAPP($o,$o,f1,x) != $false )
| ( vAPP($o,$o,f0,vAPP($o,$o,f1,x)) != $true )
| ( $true = vAPP($o,$o,f0,vAPP($o,$o,f0,$true)) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f735,plain,
( ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x))) != $false )
| ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x)))) != $false )
| ( vAPP($o,$o,f1,x) != $false )
| ( vAPP($o,$o,f0,vAPP($o,$o,f1,x)) != $true )
| ( $true = vAPP($o,$o,f0,$true) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f734,plain,
( ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x))) != $false )
| ( vAPP($o,$o,f1,x) != $false )
| ( vAPP($o,$o,f0,vAPP($o,$o,f1,x)) != $true )
| ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x)))) != $false )
| ( $false = vAPP($o,$o,f0,$true) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f733,plain,
( ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x))) != $false )
| ( vAPP($o,$o,f1,x) != $false )
| ( $false != vAPP($o,$o,f1,$false) )
| ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x)))) != $false )
| ( $false = vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,$false)))) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f732,plain,
( ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x))) != $false )
| ( vAPP($o,$o,f1,x) != $false )
| ( vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,x)))) != $true )
| ( vAPP($o,$o,f0,vAPP($o,$o,f1,x)) != $true )
| ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x)))) != $false )
| ( $false = vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,$true))) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f731,plain,
( ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x))) != $false )
| ( $false != vAPP($o,$o,f1,$false) )
| ( vAPP($o,$o,f1,x) != $false )
| ( vAPP($o,$o,f0,vAPP($o,$o,f1,x)) != $true )
| ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x)))) != $false )
| ( $false = vAPP($o,$o,f0,vAPP($o,$o,f1,$true)) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f730,plain,
( ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x))) != $false )
| ( vAPP($o,$o,f1,x) != $false )
| ( vAPP($o,$o,f0,vAPP($o,$o,f1,x)) != $true )
| ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x)))) != $false )
| ( $false != vAPP($o,$o,f1,$false) )
| ( $true = vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,$false))) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f729,plain,
( ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x))) != $false )
| ( vAPP($o,$o,f1,x) != $false )
| ( vAPP($o,$o,f0,vAPP($o,$o,f1,x)) != $true )
| ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x)))) != $false )
| ( $false != vAPP($o,$o,f1,$false) )
| ( $true = vAPP($o,$o,f1,$false) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f728,plain,
( ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x))) != $false )
| ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x)))) != $false )
| ( $false = vAPP($o,$o,f0,$false) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f727,plain,
( ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x))) != $false )
| ( vAPP($o,$o,f1,x) != $false )
| ( vAPP($o,$o,f0,vAPP($o,$o,f1,x)) != $true )
| ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x)))) != $false )
| ( $false != vAPP($o,$o,f1,$false) )
| ( $true = vAPP($o,$o,f1,$true) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f726,plain,
( ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x))) != $false )
| ( $false != vAPP($o,$o,f1,$false) )
| ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x)))) != $false )
| ( $false = vAPP($o,$o,f0,vAPP($o,$o,f1,$false)) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f725,plain,
( ( vAPP($o,$o,f1,x) != $false )
| ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x)))) != $true )
| ( $true != vAPP($o,$o,f0,$true) )
| ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x))) != $false )
| ( $true = $false ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f724,plain,
( ( vAPP($o,$o,f1,x) != $false )
| ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x)))) != $true )
| ( $true != vAPP($o,$o,f0,$true) )
| ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x))) != $false )
| ( vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,x)))) != $false )
| ( vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,x)))) = $true ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f723,plain,
( ( vAPP($o,$o,f1,x) != $false )
| ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x)))) != $true )
| ( $true != vAPP($o,$o,f0,$true) )
| ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x))) != $false )
| ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x)))) = $false ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f722,plain,
( ( $true != vAPP($o,$o,f0,vAPP($o,$o,f0,$true)) )
| ( $true != vAPP($o,$o,f0,$true) )
| ( $true = vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,$true))) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f721,plain,
( ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x))) != $false )
| ( vAPP($o,$o,f1,x) != $false )
| ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x)))) != $true )
| ( $true != vAPP($o,$o,f0,$true) )
| ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x))) = $true ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f720,plain,
( ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x))) != $false )
| ( vAPP($o,$o,f1,x) != $false )
| ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x)))) != $true )
| ( vAPP($o,$o,f0,vAPP($o,$o,f1,x)) = $true ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f719,plain,
( ( vAPP($o,$o,f1,x) != $false )
| ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x)))) != $true )
| ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x))) != $false )
| ( $false = vAPP($o,$o,f0,$true) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f718,plain,
( ( vAPP($o,$o,f1,x) != $false )
| ( $false != vAPP($o,$o,f1,$false) )
| ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x)))) != $true )
| ( $true != vAPP($o,$o,f0,$true) )
| ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x))) != $false )
| ( $false = vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,$false)))) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f717,plain,
( ( vAPP($o,$o,f1,x) != $false )
| ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x)))) != $true )
| ( $true != vAPP($o,$o,f0,$true) )
| ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x))) != $false )
| ( vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,x)))) != $false )
| ( $false = vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,$true))) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f716,plain,
( ( vAPP($o,$o,f1,x) != $false )
| ( $false != vAPP($o,$o,f1,$false) )
| ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x)))) != $true )
| ( $true != vAPP($o,$o,f0,$true) )
| ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x))) != $false )
| ( $false = vAPP($o,$o,f0,vAPP($o,$o,f1,$true)) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f715,plain,
( ( vAPP($o,$o,f1,x) != $false )
| ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x)))) != $true )
| ( $true != vAPP($o,$o,f0,$true) )
| ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x))) != $false )
| ( $false != vAPP($o,$o,f1,$false) )
| ( $true = vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,$false))) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f714,plain,
( ( vAPP($o,$o,f1,x) != $false )
| ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x)))) != $true )
| ( $true != vAPP($o,$o,f0,$true) )
| ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x))) != $false )
| ( $false != vAPP($o,$o,f1,$false) )
| ( $true = vAPP($o,$o,f1,$false) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f713,plain,
( ( vAPP($o,$o,f1,x) != $false )
| ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x)))) != $true )
| ( $true != vAPP($o,$o,f0,$true) )
| ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x))) != $false )
| ( $false = vAPP($o,$o,f0,$false) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f712,plain,
( ( vAPP($o,$o,f1,x) != $false )
| ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x)))) != $true )
| ( $true != vAPP($o,$o,f0,$true) )
| ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x))) != $false )
| ( $false != vAPP($o,$o,f1,$false) )
| ( $true = vAPP($o,$o,f1,$true) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f711,plain,
( ( vAPP($o,$o,f1,x) != $false )
| ( $false != vAPP($o,$o,f1,$false) )
| ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x)))) != $true )
| ( $true != vAPP($o,$o,f0,$true) )
| ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x))) != $false )
| ( $false = vAPP($o,$o,f0,vAPP($o,$o,f1,$false)) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f710,plain,
( ( vAPP($o,$o,f0,vAPP($o,$o,f1,x)) != $true )
| ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x)))) != $false )
| ( $true != vAPP($o,$o,f0,vAPP($o,$o,f0,$true)) )
| ( $true = $false ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f709,plain,
( ( vAPP($o,$o,f0,vAPP($o,$o,f1,x)) != $true )
| ( $true != vAPP($o,$o,f0,vAPP($o,$o,f0,$true)) )
| ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x)))) = $true ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f708,plain,
( ( vAPP($o,$o,f0,vAPP($o,$o,f1,x)) != $true )
| ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x)))) != $false )
| ( $true != vAPP($o,$o,f0,vAPP($o,$o,f0,$true)) )
| ( vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,x)))) != $true )
| ( vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,x)))) = $false ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f707,plain,
( ( vAPP($o,$o,f1,x) != $false )
| ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x)))) != $false )
| ( $true != vAPP($o,$o,f0,vAPP($o,$o,f0,$true)) )
| ( vAPP($o,$o,f0,vAPP($o,$o,f1,x)) != $true )
| ( $true = vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,$true))) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f706,plain,
( ( vAPP($o,$o,f1,x) != $false )
| ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x)))) != $false )
| ( $true != vAPP($o,$o,f0,vAPP($o,$o,f0,$true)) )
| ( vAPP($o,$o,f0,vAPP($o,$o,f1,x)) != $true )
| ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x))) = $true ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f705,plain,
( ( vAPP($o,$o,f1,x) != $false )
| ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x)))) != $false )
| ( vAPP($o,$o,f0,vAPP($o,$o,f1,x)) != $true )
| ( $true != vAPP($o,$o,f0,vAPP($o,$o,f0,$true)) )
| ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x))) = $false ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f704,plain,
( ( vAPP($o,$o,f1,x) != $false )
| ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x)))) != $false )
| ( $true != vAPP($o,$o,f0,vAPP($o,$o,f0,$true)) )
| ( vAPP($o,$o,f0,vAPP($o,$o,f1,x)) != $true )
| ( $false = vAPP($o,$o,f0,$true) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f703,plain,
( ( vAPP($o,$o,f1,x) != $false )
| ( $false != vAPP($o,$o,f1,$false) )
| ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x)))) != $false )
| ( vAPP($o,$o,f0,vAPP($o,$o,f1,x)) != $true )
| ( $true != vAPP($o,$o,f0,vAPP($o,$o,f0,$true)) )
| ( $false = vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,$false)))) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f702,plain,
( ( vAPP($o,$o,f1,x) != $false )
| ( vAPP($o,$o,f0,vAPP($o,$o,f1,x)) != $true )
| ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x)))) != $false )
| ( $true != vAPP($o,$o,f0,vAPP($o,$o,f0,$true)) )
| ( vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,x)))) != $true )
| ( $false = vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,$true))) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f701,plain,
( ( vAPP($o,$o,f1,x) != $false )
| ( $false != vAPP($o,$o,f1,$false) )
| ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x)))) != $false )
| ( vAPP($o,$o,f0,vAPP($o,$o,f1,x)) != $true )
| ( $true != vAPP($o,$o,f0,vAPP($o,$o,f0,$true)) )
| ( $false = vAPP($o,$o,f0,vAPP($o,$o,f1,$true)) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f700,plain,
( ( vAPP($o,$o,f0,vAPP($o,$o,f1,x)) != $true )
| ( vAPP($o,$o,f1,x) != $false )
| ( $false != vAPP($o,$o,f1,$false) )
| ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x)))) != $false )
| ( $true != vAPP($o,$o,f0,vAPP($o,$o,f0,$true)) )
| ( $true = vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,$false))) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f699,plain,
( ( vAPP($o,$o,f0,vAPP($o,$o,f1,x)) != $true )
| ( $false != vAPP($o,$o,f1,$false) )
| ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x)))) != $false )
| ( $true != vAPP($o,$o,f0,vAPP($o,$o,f0,$true)) )
| ( $true = vAPP($o,$o,f1,$false) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f698,plain,
( ( vAPP($o,$o,f1,x) != $false )
| ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x)))) != $false )
| ( $true != vAPP($o,$o,f0,vAPP($o,$o,f0,$true)) )
| ( vAPP($o,$o,f0,vAPP($o,$o,f1,x)) != $true )
| ( $false = vAPP($o,$o,f0,$false) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f697,plain,
( ( vAPP($o,$o,f0,vAPP($o,$o,f1,x)) != $true )
| ( $false != vAPP($o,$o,f1,$false) )
| ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x)))) != $false )
| ( $true != vAPP($o,$o,f0,vAPP($o,$o,f0,$true)) )
| ( $true = vAPP($o,$o,f1,$true) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f696,plain,
( ( vAPP($o,$o,f1,x) != $false )
| ( $false != vAPP($o,$o,f1,$false) )
| ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x)))) != $false )
| ( vAPP($o,$o,f0,vAPP($o,$o,f1,x)) != $true )
| ( $true != vAPP($o,$o,f0,vAPP($o,$o,f0,$true)) )
| ( $false = vAPP($o,$o,f0,vAPP($o,$o,f1,$false)) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f695,plain,
( ( $true != vAPP($o,$o,f0,vAPP($o,$o,f0,$true)) )
| ( $false != vAPP($o,$o,f1,$false) )
| ( vAPP($o,$o,f1,x) != $false )
| ( vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,x)))) != $true )
| ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x)))) != $false )
| ( $true != vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,$true))) )
| ( $true = $false ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f694,plain,
( ( $true != vAPP($o,$o,f0,vAPP($o,$o,f0,$true)) )
| ( $false != vAPP($o,$o,f1,$false) )
| ( vAPP($o,$o,f1,x) != $false )
| ( vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,x)))) != $true )
| ( $true != vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,$true))) )
| ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x)))) = $true ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f693,plain,
( ( $true != vAPP($o,$o,f0,vAPP($o,$o,f0,$true)) )
| ( $false != vAPP($o,$o,f1,$false) )
| ( vAPP($o,$o,f1,x) != $false )
| ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x)))) != $false )
| ( $true != vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,$true))) )
| ( vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,x)))) != $true )
| ( vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,x)))) = $false ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f692,plain,
( ( $true != vAPP($o,$o,f0,vAPP($o,$o,f0,$true)) )
| ( $false != vAPP($o,$o,f1,$false) )
| ( vAPP($o,$o,f1,x) != $false )
| ( vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,x)))) != $true )
| ( $true != vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,$true))) )
| ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x))) = $true ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f691,plain,
( ( $false != vAPP($o,$o,f1,$false) )
| ( vAPP($o,$o,f1,x) != $false )
| ( vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,x)))) != $true )
| ( $true != vAPP($o,$o,f0,vAPP($o,$o,f0,$true)) )
| ( $true != vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,$true))) )
| ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x)))) != $false )
| ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x))) = $false ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f690,plain,
( ( $false != vAPP($o,$o,f1,$false) )
| ( vAPP($o,$o,f1,x) != $false )
| ( vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,x)))) != $true )
| ( vAPP($o,$o,f0,vAPP($o,$o,f1,x)) = $true ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f689,plain,
( ( $true != vAPP($o,$o,f0,vAPP($o,$o,f0,$true)) )
| ( $false != vAPP($o,$o,f1,$false) )
| ( vAPP($o,$o,f1,x) != $false )
| ( vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,x)))) != $true )
| ( $true != vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,$true))) )
| ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x)))) != $false )
| ( $false = vAPP($o,$o,f0,$true) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f688,plain,
( ( vAPP($o,$o,f1,x) != $false )
| ( $false != vAPP($o,$o,f1,$false) )
| ( vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,x)))) != $true )
| ( $true = vAPP($o,$o,f0,vAPP($o,$o,f1,$false)) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f687,plain,
( ( vAPP($o,$o,f1,x) != $false )
| ( $false != vAPP($o,$o,f1,$false) )
| ( vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,x)))) != $true )
| ( $true = vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,$false)))) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f686,plain,
( ( $true != vAPP($o,$o,f0,vAPP($o,$o,f0,$true)) )
| ( $false != vAPP($o,$o,f1,$false) )
| ( vAPP($o,$o,f1,x) != $false )
| ( vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,x)))) != $true )
| ( $true != vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,$true))) )
| ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x)))) != $false )
| ( $false = vAPP($o,$o,f0,vAPP($o,$o,f1,$true)) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f685,plain,
( ( $true != vAPP($o,$o,f0,vAPP($o,$o,f0,$true)) )
| ( vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,x)))) != $true )
| ( vAPP($o,$o,f1,x) != $false )
| ( $false != vAPP($o,$o,f1,$false) )
| ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x)))) != $false )
| ( $true != vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,$true))) )
| ( $true = vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,$false))) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f684,plain,
( ( $true != vAPP($o,$o,f0,vAPP($o,$o,f0,$true)) )
| ( vAPP($o,$o,f1,x) != $false )
| ( vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,x)))) != $true )
| ( $false != vAPP($o,$o,f1,$false) )
| ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x)))) != $false )
| ( $true != vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,$true))) )
| ( $true = vAPP($o,$o,f1,$false) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f683,plain,
( ( $true != vAPP($o,$o,f0,vAPP($o,$o,f0,$true)) )
| ( vAPP($o,$o,f1,x) != $false )
| ( vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,x)))) != $true )
| ( $false != vAPP($o,$o,f1,$false) )
| ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x)))) != $false )
| ( $true != vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,$true))) )
| ( $true = vAPP($o,$o,f1,vAPP($o,$o,f1,$true)) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f682,plain,
( ( $true != vAPP($o,$o,f0,vAPP($o,$o,f0,$true)) )
| ( vAPP($o,$o,f1,x) != $false )
| ( vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,x)))) != $true )
| ( $false != vAPP($o,$o,f1,$false) )
| ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x)))) != $false )
| ( $true != vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,$true))) )
| ( $true = vAPP($o,$o,f1,$true) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f681,plain,
( ( vAPP($o,$o,f1,x) != $false )
| ( $false != vAPP($o,$o,f1,$false) )
| ( vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,x)))) != $true )
| ( $true = vAPP($o,$o,f0,$false) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f680,plain,
( ( $false != vAPP($o,$o,f0,$true) )
| ( $true != vAPP($o,$o,f0,$true) )
| ( $true = $false ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f679,plain,
( ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x)))) != $false )
| ( $false != vAPP($o,$o,f0,$true) )
| ( $true != vAPP($o,$o,f0,$true) )
| ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x)))) = $true ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f678,plain,
( ( $false != vAPP($o,$o,f0,$true) )
| ( $true != vAPP($o,$o,f0,$true) )
| ( vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,x)))) != $true )
| ( vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,x)))) = $false ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f677,plain,
( ( $false != vAPP($o,$o,f0,$true) )
| ( vAPP($o,$o,f1,x) != $false )
| ( $true != vAPP($o,$o,f0,$true) )
| ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x))) = $true ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f676,plain,
( ( $true != vAPP($o,$o,f0,$true) )
| ( $true = vAPP($o,$o,f0,vAPP($o,$o,f0,$true)) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f675,plain,
( ( vAPP($o,$o,f1,x) != $false )
| ( $true != vAPP($o,$o,f0,$true) )
| ( $false != vAPP($o,$o,f0,$true) )
| ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x))) = $false ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f674,plain,
( ( $false != vAPP($o,$o,f0,$true) )
| ( vAPP($o,$o,f1,x) != $false )
| ( $true != vAPP($o,$o,f0,$true) )
| ( vAPP($o,$o,f0,vAPP($o,$o,f1,x)) = $true ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f673,plain,
( ( $false != vAPP($o,$o,f1,$false) )
| ( $false != vAPP($o,$o,f0,$true) )
| ( $true != vAPP($o,$o,f0,$true) )
| ( $true = vAPP($o,$o,f0,vAPP($o,$o,f1,$false)) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f672,plain,
( ( vAPP($o,$o,f1,x) != $false )
| ( $false != vAPP($o,$o,f1,$false) )
| ( $false != vAPP($o,$o,f0,$true) )
| ( $true != vAPP($o,$o,f0,$true) )
| ( $true = vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,$false)))) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f671,plain,
( ( $false != vAPP($o,$o,f1,$false) )
| ( $true != vAPP($o,$o,f0,$true) )
| ( $false != vAPP($o,$o,f0,$true) )
| ( $false = vAPP($o,$o,f0,vAPP($o,$o,f1,$true)) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f670,plain,
( ( vAPP($o,$o,f1,x) != $false )
| ( $false != vAPP($o,$o,f1,$false) )
| ( $false != vAPP($o,$o,f0,$true) )
| ( $true != vAPP($o,$o,f0,$true) )
| ( $true = vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,$false))) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f669,plain,
( ( $false != vAPP($o,$o,f1,$false) )
| ( $false != vAPP($o,$o,f0,$true) )
| ( $true != vAPP($o,$o,f0,$true) )
| ( $true = vAPP($o,$o,f1,$false) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f668,plain,
( ( vAPP($o,$o,f1,x) != $false )
| ( $false != vAPP($o,$o,f1,$false) )
| ( $false != vAPP($o,$o,f0,$true) )
| ( $true != vAPP($o,$o,f0,$true) )
| ( $true = vAPP($o,$o,f1,vAPP($o,$o,f1,$true)) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f667,plain,
( ( $false != vAPP($o,$o,f1,$false) )
| ( $false != vAPP($o,$o,f0,$true) )
| ( $true != vAPP($o,$o,f0,$true) )
| ( $true = vAPP($o,$o,f1,$true) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f666,plain,
( ( $false != vAPP($o,$o,f0,$true) )
| ( $true != vAPP($o,$o,f0,$true) )
| ( $true = vAPP($o,$o,f0,$false) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f665,plain,
( ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x))) != $true )
| ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x)))) != $false )
| ( $true != vAPP($o,$o,f0,$true) )
| ( $true = $false ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f664,plain,
( ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x))) != $true )
| ( $true != vAPP($o,$o,f0,$true) )
| ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x)))) = $true ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f663,plain,
( ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x))) != $true )
| ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x)))) != $false )
| ( $true != vAPP($o,$o,f0,$true) )
| ( vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,x)))) != $true )
| ( vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,x)))) = $false ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f662,plain,
( ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x))) != $true )
| ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x)))) != $false )
| ( $true != vAPP($o,$o,f0,$true) )
| ( $true = vAPP($o,$o,f0,vAPP($o,$o,f0,$true)) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f661,plain,
( ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x)))) != $false )
| ( $true != vAPP($o,$o,f0,$true) )
| ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x))) != $true )
| ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x))) = $false ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f660,plain,
( ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x))) != $true )
| ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x)))) != $false )
| ( vAPP($o,$o,f1,x) != $false )
| ( $true != vAPP($o,$o,f0,$true) )
| ( vAPP($o,$o,f0,vAPP($o,$o,f1,x)) = $true ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f659,plain,
( ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x))) != $true )
| ( $false != vAPP($o,$o,f1,$false) )
| ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x)))) != $false )
| ( $true != vAPP($o,$o,f0,$true) )
| ( $true = vAPP($o,$o,f0,vAPP($o,$o,f1,$false)) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f658,plain,
( ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x))) != $true )
| ( vAPP($o,$o,f1,x) != $false )
| ( $false != vAPP($o,$o,f1,$false) )
| ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x)))) != $false )
| ( $true != vAPP($o,$o,f0,$true) )
| ( $true = vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,$false)))) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f657,plain,
( ( $false != vAPP($o,$o,f1,$false) )
| ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x))) != $true )
| ( $true != vAPP($o,$o,f0,$true) )
| ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x)))) != $false )
| ( $false = vAPP($o,$o,f0,vAPP($o,$o,f1,$true)) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f656,plain,
( ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x))) != $true )
| ( vAPP($o,$o,f1,x) != $false )
| ( $false != vAPP($o,$o,f1,$false) )
| ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x)))) != $false )
| ( $true != vAPP($o,$o,f0,$true) )
| ( $true = vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,$false))) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f655,plain,
( ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x))) != $true )
| ( $false != vAPP($o,$o,f1,$false) )
| ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x)))) != $false )
| ( $true != vAPP($o,$o,f0,$true) )
| ( $true = vAPP($o,$o,f1,$false) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f654,plain,
( ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x))) != $true )
| ( vAPP($o,$o,f1,x) != $false )
| ( $false != vAPP($o,$o,f1,$false) )
| ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x)))) != $false )
| ( $true != vAPP($o,$o,f0,$true) )
| ( $true = vAPP($o,$o,f1,vAPP($o,$o,f1,$true)) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f653,plain,
( ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x))) != $true )
| ( $false != vAPP($o,$o,f1,$false) )
| ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x)))) != $false )
| ( $true != vAPP($o,$o,f0,$true) )
| ( $true = vAPP($o,$o,f1,$true) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f652,plain,
( ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x))) != $true )
| ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x)))) != $false )
| ( $true != vAPP($o,$o,f0,$true) )
| ( $true = vAPP($o,$o,f0,$false) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f651,plain,
( ( vAPP($o,$o,f1,x) != $false )
| ( $true != vAPP($o,$o,f0,vAPP($o,$o,f0,$true)) )
| ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x)))) != $false )
| ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x))) != $true )
| ( $true = $false ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f650,plain,
( ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x)))) != $false )
| ( vAPP($o,$o,f1,x) != $false )
| ( $true != vAPP($o,$o,f0,vAPP($o,$o,f0,$true)) )
| ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x))) != $true )
| ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x)))) = $true ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f649,plain,
( ( vAPP($o,$o,f1,x) != $false )
| ( $true != vAPP($o,$o,f0,vAPP($o,$o,f0,$true)) )
| ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x)))) != $false )
| ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x))) != $true )
| ( vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,x)))) != $true )
| ( vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,x)))) = $false ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f648,plain,
( ( vAPP($o,$o,f1,x) != $false )
| ( $true != vAPP($o,$o,f0,vAPP($o,$o,f0,$true)) )
| ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x))) != $true )
| ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x)))) != $false )
| ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x))) = $false ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f647,plain,
( ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x))) != $true )
| ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x)))) != $false )
| ( vAPP($o,$o,f1,x) != $false )
| ( $true != vAPP($o,$o,f0,vAPP($o,$o,f0,$true)) )
| ( vAPP($o,$o,f0,vAPP($o,$o,f1,x)) = $true ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f646,plain,
( ( vAPP($o,$o,f1,x) != $false )
| ( $true != vAPP($o,$o,f0,vAPP($o,$o,f0,$true)) )
| ( $false != vAPP($o,$o,f1,$false) )
| ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x)))) != $false )
| ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x))) != $true )
| ( $true = vAPP($o,$o,f0,vAPP($o,$o,f1,$false)) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f645,plain,
( ( $true != vAPP($o,$o,f0,vAPP($o,$o,f0,$true)) )
| ( vAPP($o,$o,f1,x) != $false )
| ( $false != vAPP($o,$o,f1,$false) )
| ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x)))) != $false )
| ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x))) != $true )
| ( $true = vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,$false)))) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f644,plain,
( ( $false != vAPP($o,$o,f1,$false) )
| ( vAPP($o,$o,f1,x) != $false )
| ( $true != vAPP($o,$o,f0,vAPP($o,$o,f0,$true)) )
| ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x))) != $true )
| ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x)))) != $false )
| ( $false = vAPP($o,$o,f0,vAPP($o,$o,f1,$true)) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f643,plain,
( ( $true != vAPP($o,$o,f0,vAPP($o,$o,f0,$true)) )
| ( vAPP($o,$o,f1,x) != $false )
| ( $false != vAPP($o,$o,f1,$false) )
| ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x)))) != $false )
| ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x))) != $true )
| ( $true = vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,$false))) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f642,plain,
( ( vAPP($o,$o,f1,x) != $false )
| ( $true != vAPP($o,$o,f0,vAPP($o,$o,f0,$true)) )
| ( $false != vAPP($o,$o,f1,$false) )
| ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x)))) != $false )
| ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x))) != $true )
| ( $true = vAPP($o,$o,f1,$false) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f641,plain,
( ( $true != vAPP($o,$o,f0,vAPP($o,$o,f0,$true)) )
| ( vAPP($o,$o,f1,x) != $false )
| ( $false != vAPP($o,$o,f1,$false) )
| ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x)))) != $false )
| ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x))) != $true )
| ( $true = vAPP($o,$o,f1,vAPP($o,$o,f1,$true)) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f640,plain,
( ( vAPP($o,$o,f1,x) != $false )
| ( $true != vAPP($o,$o,f0,vAPP($o,$o,f0,$true)) )
| ( $false != vAPP($o,$o,f1,$false) )
| ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x)))) != $false )
| ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x))) != $true )
| ( $true = vAPP($o,$o,f1,$true) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f639,plain,
( ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x))) != $true )
| ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x)))) != $false )
| ( $true != vAPP($o,$o,f0,vAPP($o,$o,f0,$true)) )
| ( $true = vAPP($o,$o,f0,$false) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f638,plain,
( ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x)))) != $false )
| ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x)))) != $true )
| ( $true = $false ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f637,plain,
( ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x))) != $true )
| ( $false != vAPP($o,$o,f1,$false) )
| ( vAPP($o,$o,f1,x) != $false )
| ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x)))) != $false )
| ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x)))) != $true )
| ( vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,x)))) = $true ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f636,plain,
( ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x))) != $true )
| ( $false != vAPP($o,$o,f1,$false) )
| ( vAPP($o,$o,f1,x) != $false )
| ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x)))) != $true )
| ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x)))) != $false )
| ( vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,x)))) = $false ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f635,plain,
( ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x)))) != $false )
| ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x)))) != $true )
| ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x))) != $true )
| ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x))) = $false ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f634,plain,
( ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x))) != $true )
| ( vAPP($o,$o,f1,x) != $false )
| ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x)))) != $false )
| ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x)))) != $true )
| ( vAPP($o,$o,f0,vAPP($o,$o,f1,x)) = $true ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f633,plain,
( ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x))) != $true )
| ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x)))) != $false )
| ( $false = vAPP($o,$o,f0,$true) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f632,plain,
( ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x))) != $true )
| ( $false != vAPP($o,$o,f1,$false) )
| ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x)))) != $false )
| ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x)))) != $true )
| ( $true = vAPP($o,$o,f0,vAPP($o,$o,f1,$false)) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f631,plain,
( ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x))) != $true )
| ( $false != vAPP($o,$o,f1,$false) )
| ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x)))) != $false )
| ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x)))) != $true )
| ( $true = vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,$false)))) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f630,plain,
( ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x))) != $true )
| ( $false != vAPP($o,$o,f1,$false) )
| ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x)))) != $true )
| ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x)))) != $false )
| ( $false = vAPP($o,$o,f0,vAPP($o,$o,f1,$true)) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f629,plain,
( ( $false != vAPP($o,$o,f1,$false) )
| ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x)))) != $false )
| ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x)))) != $true )
| ( $true = vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,$false))) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f628,plain,
( ( $false != vAPP($o,$o,f1,$false) )
| ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x)))) != $false )
| ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x)))) != $true )
| ( $true = vAPP($o,$o,f1,$false) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f627,plain,
( ( $false != vAPP($o,$o,f1,$false) )
| ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x)))) != $false )
| ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x)))) != $true )
| ( $true = vAPP($o,$o,f1,vAPP($o,$o,f1,$true)) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f626,plain,
( ( $false != vAPP($o,$o,f1,$false) )
| ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x)))) != $false )
| ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x)))) != $true )
| ( $true = vAPP($o,$o,f1,$true) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f625,plain,
( ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x))) != $true )
| ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x)))) != $false )
| ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x)))) != $true )
| ( $true = vAPP($o,$o,f0,$false) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f624,plain,
( ( $false != vAPP($o,$o,f1,$false) )
| ( vAPP($o,$o,f1,x) != $false )
| ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x))) != $true )
| ( vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,x)))) != $false )
| ( $true = $false ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f623,plain,
( ( $false != vAPP($o,$o,f1,$false) )
| ( vAPP($o,$o,f1,x) != $false )
| ( vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,x)))) != $false )
| ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x))) != $true )
| ( vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,x)))) = $true ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f622,plain,
( ( $false != vAPP($o,$o,f1,$false) )
| ( vAPP($o,$o,f1,x) != $false )
| ( vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,x)))) != $false )
| ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x))) = $false ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f621,plain,
( ( vAPP($o,$o,f1,x) != $false )
| ( $false != vAPP($o,$o,f1,$false) )
| ( vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,x)))) != $false )
| ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x))) != $true )
| ( vAPP($o,$o,f0,vAPP($o,$o,f1,x)) = $true ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f620,plain,
( ( $false != vAPP($o,$o,f1,$false) )
| ( vAPP($o,$o,f1,x) != $false )
| ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x)))) != $true )
| ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x))) != $true )
| ( vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,x)))) != $false )
| ( $false = vAPP($o,$o,f0,$true) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f619,plain,
( ( $false != vAPP($o,$o,f1,$false) )
| ( vAPP($o,$o,f1,x) != $false )
| ( vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,x)))) != $false )
| ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x))) != $true )
| ( $true = vAPP($o,$o,f0,vAPP($o,$o,f1,$false)) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f618,plain,
( ( $false != vAPP($o,$o,f1,$false) )
| ( vAPP($o,$o,f1,x) != $false )
| ( vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,x)))) != $false )
| ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x))) != $true )
| ( $true = vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,$false)))) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f617,plain,
( ( vAPP($o,$o,f1,x) != $false )
| ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x))) != $true )
| ( $false != vAPP($o,$o,f1,$false) )
| ( vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,x)))) != $false )
| ( $false = vAPP($o,$o,f0,vAPP($o,$o,f1,$true)) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f616,plain,
( ( vAPP($o,$o,f1,x) != $false )
| ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x))) != $true )
| ( vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,x)))) != $false )
| ( $false != vAPP($o,$o,f1,$false) )
| ( $true = vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,$false))) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f615,plain,
( ( vAPP($o,$o,f1,x) != $false )
| ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x))) != $true )
| ( vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,x)))) != $false )
| ( $false != vAPP($o,$o,f1,$false) )
| ( $true = vAPP($o,$o,f1,$false) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f614,plain,
( ( vAPP($o,$o,f1,x) != $false )
| ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x))) != $true )
| ( vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,x)))) != $false )
| ( $false != vAPP($o,$o,f1,$false) )
| ( $true = vAPP($o,$o,f1,vAPP($o,$o,f1,$true)) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f613,plain,
( ( vAPP($o,$o,f1,x) != $false )
| ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x))) != $true )
| ( vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,x)))) != $false )
| ( $false != vAPP($o,$o,f1,$false) )
| ( $true = vAPP($o,$o,f1,$true) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f612,plain,
( ( $false != vAPP($o,$o,f1,$false) )
| ( vAPP($o,$o,f1,x) != $false )
| ( vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,x)))) != $false )
| ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x))) != $true )
| ( $true = vAPP($o,$o,f0,$false) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f611,plain,
( ( vAPP($o,$o,f1,x) != $false )
| ( $false != vAPP($o,$o,f1,$false) )
| ( vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,x)))) != $false )
| ( vAPP($o,$o,f0,vAPP($o,$o,f1,x)) != $true )
| ( $true = $false ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f610,plain,
( ( vAPP($o,$o,f1,x) != $false )
| ( $false != vAPP($o,$o,f1,$false) )
| ( vAPP($o,$o,f0,vAPP($o,$o,f1,x)) != $true )
| ( vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,x)))) = $true ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f609,plain,
( ( vAPP($o,$o,f1,x) != $false )
| ( $false != vAPP($o,$o,f1,$false) )
| ( vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,x)))) != $false )
| ( vAPP($o,$o,f0,vAPP($o,$o,f1,x)) != $true )
| ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x))) != $true )
| ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x))) = $false ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f608,plain,
( ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x))) != $true )
| ( vAPP($o,$o,f1,x) != $false )
| ( $false != vAPP($o,$o,f1,$false) )
| ( vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,x)))) != $false )
| ( vAPP($o,$o,f0,vAPP($o,$o,f1,x)) != $true )
| ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x)))) != $true )
| ( $false = vAPP($o,$o,f0,$true) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f607,plain,
( ( vAPP($o,$o,f1,x) != $false )
| ( $false != vAPP($o,$o,f1,$false) )
| ( vAPP($o,$o,f0,vAPP($o,$o,f1,x)) != $true )
| ( $true = vAPP($o,$o,f0,vAPP($o,$o,f1,$false)) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f606,plain,
( ( vAPP($o,$o,f1,x) != $false )
| ( $false != vAPP($o,$o,f1,$false) )
| ( vAPP($o,$o,f0,vAPP($o,$o,f1,x)) != $true )
| ( $true = vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,$false)))) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f605,plain,
( ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x))) != $true )
| ( vAPP($o,$o,f1,x) != $false )
| ( $false != vAPP($o,$o,f1,$false) )
| ( vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,x)))) != $false )
| ( vAPP($o,$o,f0,vAPP($o,$o,f1,x)) != $true )
| ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x)))) != $true )
| ( $false = vAPP($o,$o,f0,vAPP($o,$o,f1,$true)) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f604,plain,
( ( vAPP($o,$o,f1,x) != $false )
| ( $false != vAPP($o,$o,f1,$false) )
| ( vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,x)))) != $false )
| ( vAPP($o,$o,f0,vAPP($o,$o,f1,x)) != $true )
| ( $true = vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,$false))) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f603,plain,
( ( vAPP($o,$o,f1,x) != $false )
| ( $false != vAPP($o,$o,f1,$false) )
| ( vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,x)))) != $false )
| ( vAPP($o,$o,f0,vAPP($o,$o,f1,x)) != $true )
| ( $true = vAPP($o,$o,f1,$false) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f602,plain,
( ( vAPP($o,$o,f1,x) != $false )
| ( $false != vAPP($o,$o,f1,$false) )
| ( vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,x)))) != $false )
| ( vAPP($o,$o,f0,vAPP($o,$o,f1,x)) != $true )
| ( $true = vAPP($o,$o,f1,vAPP($o,$o,f1,$true)) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f601,plain,
( ( vAPP($o,$o,f1,x) != $false )
| ( $false != vAPP($o,$o,f1,$false) )
| ( vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,x)))) != $false )
| ( vAPP($o,$o,f0,vAPP($o,$o,f1,x)) != $true )
| ( $true = vAPP($o,$o,f1,$true) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f600,plain,
( ( vAPP($o,$o,f1,x) != $false )
| ( vAPP($o,$o,f0,vAPP($o,$o,f1,x)) != $true )
| ( $true = vAPP($o,$o,f0,$false) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f599,plain,
( spl0_6
| spl0_8
| ~ spl0_29
| spl0_31 ),
inference(avatar_contradiction_clause,[],[f598]) ).
thf(f598,plain,
( $false
| spl0_6
| spl0_8
| ~ spl0_29
| spl0_31 ),
inference(subsumption_resolution,[],[f597,f303]) ).
thf(f597,plain,
( ( $false = vAPP($o,$o,f1,$true) )
| spl0_6
| spl0_8
| ~ spl0_29 ),
inference(subsumption_resolution,[],[f587,f72]) ).
thf(f587,plain,
( ( x = $false )
| ( $false = vAPP($o,$o,f1,$true) )
| spl0_8
| ~ spl0_29 ),
inference(binary_proxy_clausification,[],[f585]) ).
thf(f585,plain,
( ( x != vAPP($o,$o,f1,$true) )
| spl0_8
| ~ spl0_29 ),
inference(trivial_inequality_removal,[],[f580]) ).
thf(f580,plain,
( ( $false != $false )
| ( x != vAPP($o,$o,f1,$true) )
| spl0_8
| ~ spl0_29 ),
inference(constrained_superposition,[],[f81,f264]) ).
thf(f264,plain,
( ( $false = vAPP($o,$o,f1,vAPP($o,$o,f1,$true)) )
| ~ spl0_29 ),
inference(avatar_component_clause,[],[f262]) ).
thf(f596,plain,
( spl0_36
| spl0_8
| ~ spl0_29
| spl0_32 ),
inference(avatar_split_clause,[],[f591,f308,f262,f80,f593]) ).
thf(f591,plain,
( ( x = $true )
| spl0_8
| ~ spl0_29
| spl0_32 ),
inference(subsumption_resolution,[],[f586,f310]) ).
thf(f586,plain,
( ( x = $true )
| ( $true = vAPP($o,$o,f1,$true) )
| spl0_8
| ~ spl0_29 ),
inference(binary_proxy_clausification,[],[f585]) ).
thf(f590,plain,
( ~ spl0_29
| spl0_31 ),
inference(avatar_contradiction_clause,[],[f589]) ).
thf(f589,plain,
( $false
| ~ spl0_29
| spl0_31 ),
inference(subsumption_resolution,[],[f588,f303]) ).
thf(f588,plain,
( ( $false = vAPP($o,$o,f1,$true) )
| ~ spl0_29
| spl0_31 ),
inference(trivial_inequality_removal,[],[f579]) ).
thf(f579,plain,
( ( $false != $false )
| ( $false = vAPP($o,$o,f1,$true) )
| ~ spl0_29
| spl0_31 ),
inference(superposition,[],[f371,f264]) ).
thf(f540,plain,
( spl0_30
| ~ spl0_18
| ~ spl0_33 ),
inference(avatar_split_clause,[],[f539,f362,f146,f268]) ).
thf(f539,plain,
( ( $false = vAPP($o,$o,f0,$false) )
| ~ spl0_18
| ~ spl0_33 ),
inference(forward_demodulation,[],[f363,f147]) ).
thf(f538,plain,
( ~ spl0_1
| ~ spl0_18
| ~ spl0_18
| spl0_28 ),
inference(avatar_split_clause,[],[f537,f256,f146,f146,f10]) ).
thf(f537,plain,
( ( $false != vAPP($o,$o,f1,$false) )
| ( $true != $false )
| ~ spl0_18
| spl0_28 ),
inference(inner_rewriting,[],[f456]) ).
thf(f456,plain,
( ( $true != vAPP($o,$o,f1,$false) )
| ( $true != $false )
| ~ spl0_18
| spl0_28 ),
inference(constrained_superposition,[],[f258,f147]) ).
thf(f258,plain,
( ( $true != vAPP($o,$o,f1,vAPP($o,$o,f1,$true)) )
| spl0_28 ),
inference(avatar_component_clause,[],[f256]) ).
thf(f536,plain,
( ~ spl0_32
| spl0_28 ),
inference(avatar_split_clause,[],[f535,f256,f308]) ).
thf(f535,plain,
( ( $true != vAPP($o,$o,f1,$true) )
| spl0_28 ),
inference(trivial_inequality_removal,[],[f534]) ).
thf(f534,plain,
( ( $true != vAPP($o,$o,f1,$true) )
| ( $true = $false )
| spl0_28 ),
inference(inner_rewriting,[],[f457]) ).
thf(f457,plain,
( ( $true != vAPP($o,$o,f1,$true) )
| ( $false = vAPP($o,$o,f1,$true) )
| spl0_28 ),
inference(superposition,[],[f258,f4]) ).
thf(f533,plain,
( ~ spl0_18
| ~ spl0_1
| ~ spl0_18
| spl0_28 ),
inference(avatar_split_clause,[],[f532,f256,f146,f10,f146]) ).
thf(f532,plain,
( ( $true != $false )
| ( $false != vAPP($o,$o,f1,$false) )
| ~ spl0_18
| spl0_28 ),
inference(inner_rewriting,[],[f458]) ).
thf(f458,plain,
( ( $true != $false )
| ( $false != vAPP($o,$o,f1,$true) )
| ~ spl0_18
| spl0_28 ),
inference(constrained_superposition,[],[f258,f147]) ).
thf(f531,plain,
( spl0_29
| spl0_28 ),
inference(avatar_split_clause,[],[f460,f256,f262]) ).
thf(f460,plain,
( ( $false = vAPP($o,$o,f1,vAPP($o,$o,f1,$true)) )
| spl0_28 ),
inference(trivial_inequality_removal,[],[f459]) ).
thf(f459,plain,
( ( $true != $true )
| ( $false = vAPP($o,$o,f1,vAPP($o,$o,f1,$true)) )
| spl0_28 ),
inference(superposition,[],[f258,f4]) ).
thf(f530,plain,
( ( $true != vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,$false)))) )
| ( $false != vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,$false)))) )
| ( $true = $false ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f529,plain,
( ( $true != vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,$false)))) )
| ( $false != vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,$false)))) )
| ( vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,x)))) != $false )
| ( vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,x)))) = $true ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f528,plain,
( ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x))) != $true )
| ( $true != vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,$false)))) )
| ( $false != vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,$false)))) )
| ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x))) = $false ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f527,plain,
( ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x))) != $true )
| ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x)))) != $true )
| ( $true != vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,$false)))) )
| ( $false != vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,$false)))) )
| ( $false = vAPP($o,$o,f0,$true) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f526,plain,
( ( $false != vAPP($o,$o,f1,$false) )
| ( $true != vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,$false)))) )
| ( $true = vAPP($o,$o,f0,vAPP($o,$o,f1,$false)) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f525,plain,
( ( $true != vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,$false)))) )
| ( $false != vAPP($o,$o,f1,$false) )
| ( $false != vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,$false)))) )
| ( $false = vAPP($o,$o,f0,vAPP($o,$o,f1,$true)) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f524,plain,
( ( $true != vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,$false)))) )
| ( $false != vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,$false)))) )
| ( $false != vAPP($o,$o,f1,$false) )
| ( $true = vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,$false))) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f523,plain,
( ( $true != vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,$false)))) )
| ( $false != vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,$false)))) )
| ( $false != vAPP($o,$o,f1,$false) )
| ( $true = vAPP($o,$o,f1,$false) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f522,plain,
( ( $true != vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,$false)))) )
| ( $false != vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,$false)))) )
| ( $false != vAPP($o,$o,f1,$false) )
| ( $true = vAPP($o,$o,f1,vAPP($o,$o,f1,$true)) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f521,plain,
( ( $true != vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,$false)))) )
| ( $false != vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,$false)))) )
| ( $false != vAPP($o,$o,f1,$false) )
| ( $false = vAPP($o,$o,f1,$true) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f520,plain,
( ( $false != vAPP($o,$o,f1,$false) )
| ( $true != vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,$false)))) )
| ( $true = vAPP($o,$o,f0,$false) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f519,plain,
( ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x))) != $true )
| ( $true != vAPP($o,$o,f1,vAPP($o,$o,f1,$true)) )
| ( $false != vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,$true))) )
| ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x)))) != $true )
| ( $true = $false ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f518,plain,
( ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x))) != $true )
| ( $true != vAPP($o,$o,f1,vAPP($o,$o,f1,$true)) )
| ( vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,x)))) != $false )
| ( $false != vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,$true))) )
| ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x)))) != $true )
| ( vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,x)))) = $true ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f517,plain,
( ( $true != vAPP($o,$o,f1,vAPP($o,$o,f1,$true)) )
| ( $false != vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,$true))) )
| ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x)))) != $true )
| ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x))) != $true )
| ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x))) = $false ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f516,plain,
( ( $true != vAPP($o,$o,f1,vAPP($o,$o,f1,$true)) )
| ( $false != vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,$true))) )
| ( $false = vAPP($o,$o,f0,$true) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f515,plain,
( ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x))) != $true )
| ( $false != vAPP($o,$o,f1,$false) )
| ( $true != vAPP($o,$o,f1,vAPP($o,$o,f1,$true)) )
| ( $false != vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,$true))) )
| ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x)))) != $true )
| ( $true != vAPP($o,$o,f0,vAPP($o,$o,f1,$false)) )
| ( $false = vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,$false)))) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f514,plain,
( ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x))) != $true )
| ( $false != vAPP($o,$o,f1,$false) )
| ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x)))) != $true )
| ( $true != vAPP($o,$o,f1,vAPP($o,$o,f1,$true)) )
| ( $false != vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,$true))) )
| ( $false = vAPP($o,$o,f0,vAPP($o,$o,f1,$true)) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f513,plain,
( ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x))) != $true )
| ( $true != vAPP($o,$o,f1,vAPP($o,$o,f1,$true)) )
| ( $false != vAPP($o,$o,f1,$false) )
| ( $false != vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,$true))) )
| ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x)))) != $true )
| ( $true = vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,$false))) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f512,plain,
( ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x))) != $true )
| ( $true != vAPP($o,$o,f1,vAPP($o,$o,f1,$true)) )
| ( $false != vAPP($o,$o,f1,$false) )
| ( $false != vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,$true))) )
| ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x)))) != $true )
| ( $true = vAPP($o,$o,f1,$false) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f511,plain,
( ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x))) != $true )
| ( $false != vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,$true))) )
| ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x)))) != $true )
| ( $true != vAPP($o,$o,f1,vAPP($o,$o,f1,$true)) )
| ( $false = vAPP($o,$o,f1,vAPP($o,$o,f1,$true)) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f510,plain,
( ( $false != vAPP($o,$o,f1,$false) )
| ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x))) != $true )
| ( $true != vAPP($o,$o,f1,vAPP($o,$o,f1,$true)) )
| ( $false != vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,$true))) )
| ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x)))) != $true )
| ( $true != vAPP($o,$o,f0,vAPP($o,$o,f1,$false)) )
| ( $false = vAPP($o,$o,f0,$false) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f509,plain,
( ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x))) != $true )
| ( $true != vAPP($o,$o,f1,vAPP($o,$o,f1,$true)) )
| ( $false != vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,$true))) )
| ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x)))) != $true )
| ( $false != vAPP($o,$o,f1,$false) )
| ( $false = vAPP($o,$o,f1,$true) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f508,plain,
( ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x))) != $true )
| ( $true != vAPP($o,$o,f1,vAPP($o,$o,f1,$true)) )
| ( $false != vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,$true))) )
| ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x)))) != $true )
| ( $true != vAPP($o,$o,f0,vAPP($o,$o,f1,$false)) )
| ( $false = vAPP($o,$o,f0,vAPP($o,$o,f1,$false)) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f507,plain,
( ~ spl0_18
| spl0_28
| spl0_29 ),
inference(avatar_contradiction_clause,[],[f506]) ).
thf(f506,plain,
( $false
| ~ spl0_18
| spl0_28
| spl0_29 ),
inference(subsumption_resolution,[],[f505,f464]) ).
thf(f464,plain,
( ! [X0: $o] : ( $false = X0 )
| spl0_28
| spl0_29 ),
inference(subsumption_resolution,[],[f463,f432]) ).
thf(f432,plain,
( ! [X0: $o] :
( ( $false != vAPP($o,$o,f1,vAPP($o,$o,f1,X0)) )
| ( $false = X0 ) )
| spl0_29 ),
inference(superposition,[],[f263,f4]) ).
thf(f463,plain,
( ! [X0: $o] :
( ( $false = vAPP($o,$o,f1,vAPP($o,$o,f1,X0)) )
| ( $false = X0 ) )
| spl0_28 ),
inference(duplicate_literal_removal,[],[f462]) ).
thf(f462,plain,
( ! [X0: $o] :
( ( $false = vAPP($o,$o,f1,vAPP($o,$o,f1,X0)) )
| ( $false = X0 )
| ( $false = X0 ) )
| spl0_28 ),
inference(binary_proxy_clausification,[],[f455]) ).
thf(f455,plain,
( ! [X0: $o] :
( ( vAPP($o,$o,f1,vAPP($o,$o,f1,X0)) != X0 )
| ( $false = X0 ) )
| spl0_28 ),
inference(superposition,[],[f258,f4]) ).
thf(f505,plain,
( ( $false != vAPP($o,$o,f1,$true) )
| ~ spl0_18
| spl0_28
| spl0_29 ),
inference(subsumption_resolution,[],[f458,f464]) ).
thf(f504,plain,
( ~ spl0_18
| spl0_28
| spl0_29 ),
inference(avatar_contradiction_clause,[],[f503]) ).
thf(f503,plain,
( $false
| ~ spl0_18
| spl0_28
| spl0_29 ),
inference(subsumption_resolution,[],[f502,f464]) ).
thf(f502,plain,
( ( $true != $false )
| ~ spl0_18
| spl0_28
| spl0_29 ),
inference(forward_demodulation,[],[f501,f464]) ).
thf(f501,plain,
( ( $true != vAPP($o,$o,f1,$false) )
| ~ spl0_18
| spl0_28
| spl0_29 ),
inference(subsumption_resolution,[],[f456,f464]) ).
thf(f500,plain,
( spl0_28
| spl0_29 ),
inference(avatar_contradiction_clause,[],[f499]) ).
thf(f499,plain,
( $false
| spl0_28
| spl0_29 ),
inference(subsumption_resolution,[],[f481,f464]) ).
thf(f481,plain,
( ( $true != $false )
| spl0_28
| spl0_29 ),
inference(backward_demodulation,[],[f258,f464]) ).
thf(f498,plain,
( ~ spl0_15
| spl0_28
| spl0_29 ),
inference(avatar_contradiction_clause,[],[f497]) ).
thf(f497,plain,
( $false
| ~ spl0_15
| spl0_28
| spl0_29 ),
inference(trivial_inequality_removal,[],[f496]) ).
thf(f496,plain,
( ( $true = $false )
| ~ spl0_15
| spl0_28
| spl0_29 ),
inference(forward_demodulation,[],[f477,f464]) ).
thf(f477,plain,
( ( $true = vAPP($o,$o,f0,vAPP($o,$o,f1,$false)) )
| ~ spl0_15
| spl0_28
| spl0_29 ),
inference(backward_demodulation,[],[f114,f464]) ).
thf(f495,plain,
( spl0_1
| spl0_28
| spl0_29 ),
inference(avatar_contradiction_clause,[],[f476]) ).
thf(f476,plain,
( $false
| spl0_1
| spl0_28
| spl0_29 ),
inference(subsumption_resolution,[],[f12,f464]) ).
thf(f494,plain,
( spl0_8
| spl0_28
| spl0_29 ),
inference(avatar_contradiction_clause,[],[f475]) ).
thf(f475,plain,
( $false
| spl0_8
| spl0_28
| spl0_29 ),
inference(subsumption_resolution,[],[f81,f464]) ).
thf(f493,plain,
( spl0_6
| spl0_28
| spl0_29 ),
inference(avatar_contradiction_clause,[],[f474]) ).
thf(f474,plain,
( $false
| spl0_6
| spl0_28
| spl0_29 ),
inference(subsumption_resolution,[],[f72,f464]) ).
thf(f492,plain,
( spl0_17
| spl0_28
| spl0_29 ),
inference(avatar_contradiction_clause,[],[f473]) ).
thf(f473,plain,
( $false
| spl0_17
| spl0_28
| spl0_29 ),
inference(subsumption_resolution,[],[f136,f464]) ).
thf(f491,plain,
( spl0_28
| spl0_29
| spl0_30 ),
inference(avatar_contradiction_clause,[],[f472]) ).
thf(f472,plain,
( $false
| spl0_28
| spl0_29
| spl0_30 ),
inference(subsumption_resolution,[],[f269,f464]) ).
thf(f490,plain,
( spl0_24
| spl0_28
| spl0_29 ),
inference(avatar_contradiction_clause,[],[f470]) ).
thf(f470,plain,
( $false
| spl0_24
| spl0_28
| spl0_29 ),
inference(subsumption_resolution,[],[f222,f464]) ).
thf(f489,plain,
( spl0_28
| spl0_29 ),
inference(avatar_contradiction_clause,[],[f467]) ).
thf(f467,plain,
( $false
| spl0_28
| spl0_29 ),
inference(subsumption_resolution,[],[f263,f464]) ).
thf(f488,plain,
( spl0_28
| spl0_29
| spl0_31 ),
inference(avatar_contradiction_clause,[],[f466]) ).
thf(f466,plain,
( $false
| spl0_28
| spl0_29
| spl0_31 ),
inference(subsumption_resolution,[],[f303,f464]) ).
thf(f487,plain,
( spl0_28
| spl0_29
| ~ spl0_35 ),
inference(avatar_contradiction_clause,[],[f486]) ).
thf(f486,plain,
( $false
| spl0_28
| spl0_29
| ~ spl0_35 ),
inference(trivial_inequality_removal,[],[f478]) ).
thf(f478,plain,
( ( $true = $false )
| spl0_28
| spl0_29
| ~ spl0_35 ),
inference(backward_demodulation,[],[f451,f464]) ).
thf(f485,plain,
( spl0_28
| spl0_29
| ~ spl0_34 ),
inference(avatar_contradiction_clause,[],[f484]) ).
thf(f484,plain,
( $false
| spl0_28
| spl0_29
| ~ spl0_34 ),
inference(trivial_inequality_removal,[],[f479]) ).
thf(f479,plain,
( ( $true = $false )
| spl0_28
| spl0_29
| ~ spl0_34 ),
inference(backward_demodulation,[],[f395,f464]) ).
thf(f483,plain,
( ~ spl0_16
| spl0_28
| spl0_29 ),
inference(avatar_contradiction_clause,[],[f482]) ).
thf(f482,plain,
( $false
| ~ spl0_16
| spl0_28
| spl0_29 ),
inference(trivial_inequality_removal,[],[f480]) ).
thf(f480,plain,
( ( $true = $false )
| ~ spl0_16
| spl0_28
| spl0_29 ),
inference(backward_demodulation,[],[f118,f464]) ).
thf(f118,plain,
( ( $true = vAPP($o,$o,f0,$true) )
| ~ spl0_16 ),
inference(avatar_component_clause,[],[f116]) ).
thf(f452,plain,
( spl0_35
| spl0_6
| ~ spl0_15 ),
inference(avatar_split_clause,[],[f447,f112,f71,f449]) ).
thf(f447,plain,
( ( $true = vAPP($o,$o,f0,vAPP($o,$o,f1,$true)) )
| spl0_6
| ~ spl0_15 ),
inference(subsumption_resolution,[],[f438,f72]) ).
thf(f438,plain,
( ( $true = vAPP($o,$o,f0,vAPP($o,$o,f1,$true)) )
| ( x = $false )
| ~ spl0_15 ),
inference(superposition,[],[f114,f4]) ).
thf(f414,plain,
( spl0_30
| spl0_34 ),
inference(avatar_contradiction_clause,[],[f413]) ).
thf(f413,plain,
( $false
| spl0_30
| spl0_34 ),
inference(subsumption_resolution,[],[f411,f269]) ).
thf(f411,plain,
( ( $false = vAPP($o,$o,f0,$false) )
| spl0_34 ),
inference(trivial_inequality_removal,[],[f410]) ).
thf(f410,plain,
( ( $true != $true )
| ( $false = vAPP($o,$o,f0,$false) )
| spl0_34 ),
inference(superposition,[],[f396,f4]) ).
thf(f396,plain,
( ( $true != vAPP($o,$o,f0,$false) )
| spl0_34 ),
inference(avatar_component_clause,[],[f394]) ).
thf(f397,plain,
( ~ spl0_34
| ~ spl0_18
| spl0_19 ),
inference(avatar_split_clause,[],[f390,f151,f146,f394]) ).
thf(f151,plain,
( spl0_19
<=> ( $true = vAPP($o,$o,f0,vAPP($o,$o,f1,$false)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_19])]) ).
thf(f390,plain,
( ( $true != vAPP($o,$o,f0,$false) )
| ~ spl0_18
| spl0_19 ),
inference(backward_demodulation,[],[f152,f147]) ).
thf(f152,plain,
( ( $true != vAPP($o,$o,f0,vAPP($o,$o,f1,$false)) )
| spl0_19 ),
inference(avatar_component_clause,[],[f151]) ).
thf(f388,plain,
( spl0_18
| ~ spl0_23
| ~ spl0_25 ),
inference(avatar_split_clause,[],[f387,f227,f217,f146]) ).
thf(f227,plain,
( spl0_25
<=> ( $false = vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,$false))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_25])]) ).
thf(f387,plain,
( ( $false = vAPP($o,$o,f1,$false) )
| ~ spl0_23
| ~ spl0_25 ),
inference(forward_demodulation,[],[f229,f219]) ).
thf(f219,plain,
( ( $false = vAPP($o,$o,f1,vAPP($o,$o,f1,$false)) )
| ~ spl0_23 ),
inference(avatar_component_clause,[],[f217]) ).
thf(f229,plain,
( ( $false = vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,$false))) )
| ~ spl0_25 ),
inference(avatar_component_clause,[],[f227]) ).
thf(f386,plain,
( spl0_18
| spl0_27 ),
inference(avatar_split_clause,[],[f374,f238,f146]) ).
thf(f238,plain,
( spl0_27
<=> ( $true = vAPP($o,$o,f1,$false) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_27])]) ).
thf(f374,plain,
( ( $false = vAPP($o,$o,f1,$false) )
| spl0_27 ),
inference(trivial_inequality_removal,[],[f373]) ).
thf(f373,plain,
( ( $true != $true )
| ( $false = vAPP($o,$o,f1,$false) )
| spl0_27 ),
inference(superposition,[],[f239,f4]) ).
thf(f239,plain,
( ( $true != vAPP($o,$o,f1,$false) )
| spl0_27 ),
inference(avatar_component_clause,[],[f238]) ).
thf(f385,plain,
( ( $false != vAPP($o,$o,f1,$false) )
| ( $false != vAPP($o,$o,f0,$false) )
| ( $false = vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,$false)))) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f384,plain,
( ( $false != vAPP($o,$o,f1,$false) )
| ( $false = vAPP($o,$o,f1,vAPP($o,$o,f1,$false)) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f383,plain,
( ( $false != vAPP($o,$o,f1,$false) )
| ( $false != vAPP($o,$o,f0,$false) )
| ( $false = vAPP($o,$o,f0,vAPP($o,$o,f1,$false)) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f382,plain,
( ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x))) != $true )
| ( $true != vAPP($o,$o,f1,$false) )
| ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x)))) != $true )
| ( $true = vAPP($o,$o,f0,vAPP($o,$o,f1,$false)) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f381,plain,
( ( $true != vAPP($o,$o,f1,$false) )
| ( $false != vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,$true))) )
| ( $false = vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,$false)))) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f380,plain,
( ( $true != vAPP($o,$o,f1,$false) )
| ( $false != vAPP($o,$o,f1,vAPP($o,$o,f1,$true)) )
| ( $false = vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,$false))) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f379,plain,
( ( $false != vAPP($o,$o,f1,vAPP($o,$o,f1,$true)) )
| ( $false != vAPP($o,$o,f1,$false) )
| ( $false != vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,$true))) )
| ( $false = vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,$false)))) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f378,plain,
( ( $false != vAPP($o,$o,f1,$false) )
| ( $false = vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,$false))) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f377,plain,
( ( $false != vAPP($o,$o,f1,vAPP($o,$o,f1,$true)) )
| ( $false != vAPP($o,$o,f1,$false) )
| ( $false != vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,$true))) )
| ( $false = vAPP($o,$o,f0,vAPP($o,$o,f1,$false)) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f376,plain,
( spl0_18
| spl0_27 ),
inference(avatar_contradiction_clause,[],[f375]) ).
thf(f375,plain,
( $false
| spl0_18
| spl0_27 ),
inference(subsumption_resolution,[],[f374,f148]) ).
thf(f148,plain,
( ( $false != vAPP($o,$o,f1,$false) )
| spl0_18 ),
inference(avatar_component_clause,[],[f146]) ).
thf(f370,plain,
( ~ spl0_31
| spl0_6
| spl0_8 ),
inference(avatar_split_clause,[],[f369,f80,f71,f302]) ).
thf(f369,plain,
( ( $false != vAPP($o,$o,f1,$true) )
| spl0_6
| spl0_8 ),
inference(subsumption_resolution,[],[f367,f72]) ).
thf(f367,plain,
( ( $false != vAPP($o,$o,f1,$true) )
| ( x = $false )
| spl0_8 ),
inference(superposition,[],[f81,f4]) ).
thf(f365,plain,
( ~ spl0_33
| spl0_20
| ~ spl0_23 ),
inference(avatar_split_clause,[],[f360,f217,f156,f362]) ).
thf(f156,plain,
( spl0_20
<=> ( $false = vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,$false)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_20])]) ).
thf(f360,plain,
( ( $false != vAPP($o,$o,f0,vAPP($o,$o,f1,$false)) )
| spl0_20
| ~ spl0_23 ),
inference(forward_demodulation,[],[f157,f219]) ).
thf(f157,plain,
( ( $false != vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,$false)))) )
| spl0_20 ),
inference(avatar_component_clause,[],[f156]) ).
thf(f359,plain,
( ~ spl0_19
| spl0_21
| ~ spl0_23 ),
inference(avatar_split_clause,[],[f358,f217,f162,f151]) ).
thf(f162,plain,
( spl0_21
<=> ( $true = vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,$false)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_21])]) ).
thf(f358,plain,
( ( $true != vAPP($o,$o,f0,vAPP($o,$o,f1,$false)) )
| spl0_21
| ~ spl0_23 ),
inference(backward_demodulation,[],[f164,f219]) ).
thf(f164,plain,
( ( $true != vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,$false)))) )
| spl0_21 ),
inference(avatar_component_clause,[],[f162]) ).
thf(f354,plain,
( ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x))) != $true )
| ( $false != vAPP($o,$o,f1,vAPP($o,$o,f1,$false)) )
| ( $true != vAPP($o,$o,f1,$false) )
| ( $false != vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,$true))) )
| ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x)))) != $true )
| ( $true = $false ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f353,plain,
( ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x))) != $true )
| ( $false != vAPP($o,$o,f1,vAPP($o,$o,f1,$false)) )
| ( $true != vAPP($o,$o,f1,$false) )
| ( vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,x)))) != $false )
| ( $false != vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,$true))) )
| ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x)))) != $true )
| ( vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,x)))) = $true ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f352,plain,
( ( $false != vAPP($o,$o,f1,vAPP($o,$o,f1,$false)) )
| ( $true != vAPP($o,$o,f1,$false) )
| ( $false != vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,$true))) )
| ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x)))) != $true )
| ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x))) != $true )
| ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x))) = $false ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f351,plain,
( ( $false != vAPP($o,$o,f1,vAPP($o,$o,f1,$false)) )
| ( $true != vAPP($o,$o,f1,$false) )
| ( $false != vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,$true))) )
| ( $false = vAPP($o,$o,f0,$true) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f350,plain,
( ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x))) != $true )
| ( $false != vAPP($o,$o,f1,vAPP($o,$o,f1,$false)) )
| ( $false != vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,$true))) )
| ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x)))) != $true )
| ( $true != vAPP($o,$o,f1,$false) )
| ( $false = vAPP($o,$o,f1,$false) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f349,plain,
( ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x))) != $true )
| ( $true != vAPP($o,$o,f1,$false) )
| ( $false != vAPP($o,$o,f1,vAPP($o,$o,f1,$false)) )
| ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x)))) != $true )
| ( $true = vAPP($o,$o,f0,vAPP($o,$o,f1,$false)) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f348,plain,
( ( $false != vAPP($o,$o,f1,vAPP($o,$o,f1,$false)) )
| ( $true != vAPP($o,$o,f1,$false) )
| ( $false != vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,$true))) )
| ( $false = vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,$false)))) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f347,plain,
( ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x))) != $true )
| ( $false != vAPP($o,$o,f1,vAPP($o,$o,f1,$false)) )
| ( $true != vAPP($o,$o,f1,$false) )
| ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x)))) != $true )
| ( $true = vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,$false)))) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f346,plain,
( ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x))) != $true )
| ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x)))) != $true )
| ( $true != vAPP($o,$o,f1,$false) )
| ( $false != vAPP($o,$o,f1,vAPP($o,$o,f1,$false)) )
| ( $false != vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,$true))) )
| ( $false = vAPP($o,$o,f0,vAPP($o,$o,f1,$true)) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f345,plain,
( ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x))) != $true )
| ( $false != vAPP($o,$o,f1,vAPP($o,$o,f1,$false)) )
| ( $false != vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,$true))) )
| ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x)))) != $true )
| ( $true != vAPP($o,$o,f1,$false) )
| ( $false = vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,$false))) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f344,plain,
( ( $false != vAPP($o,$o,f1,vAPP($o,$o,f1,$false)) )
| ( $true != vAPP($o,$o,f1,$false) )
| ( $true = vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,$false))) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f343,plain,
( ( $false != vAPP($o,$o,f1,vAPP($o,$o,f1,$false)) )
| ( $true != vAPP($o,$o,f1,$false) )
| ( $true = vAPP($o,$o,f1,vAPP($o,$o,f1,$true)) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f342,plain,
( ( $true != vAPP($o,$o,f1,$false) )
| ( $false != vAPP($o,$o,f1,$false) )
| ( $true = $false ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f341,plain,
( ( $true != vAPP($o,$o,f1,$false) )
| ( $false != vAPP($o,$o,f1,$false) )
| ( vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,x)))) != $false )
| ( vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,x)))) = $true ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f340,plain,
( ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x))) != $true )
| ( $true != vAPP($o,$o,f1,$false) )
| ( $false != vAPP($o,$o,f1,$false) )
| ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x))) = $false ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f339,plain,
( ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x))) != $true )
| ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x)))) != $true )
| ( $true != vAPP($o,$o,f1,$false) )
| ( $false != vAPP($o,$o,f1,$false) )
| ( $false = vAPP($o,$o,f0,$true) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f338,plain,
( ( $true != vAPP($o,$o,f1,$false) )
| ( $false != vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,$false)))) )
| ( $false != vAPP($o,$o,f1,$false) )
| ( $true = vAPP($o,$o,f0,vAPP($o,$o,f1,$false)) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f337,plain,
( ( $true != vAPP($o,$o,f1,$false) )
| ( $false != vAPP($o,$o,f1,$false) )
| ( $false != vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,$false)))) )
| ( $true = vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,$false)))) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f336,plain,
( ( $true != vAPP($o,$o,f1,$false) )
| ( $false != vAPP($o,$o,f1,$false) )
| ( $false != vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,$false)))) )
| ( $false = vAPP($o,$o,f0,vAPP($o,$o,f1,$true)) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f335,plain,
( ( $false != vAPP($o,$o,f1,$false) )
| ( $true != vAPP($o,$o,f1,$false) )
| ( $true = vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,$false))) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f334,plain,
( ( $false != vAPP($o,$o,f1,$false) )
| ( $true != vAPP($o,$o,f1,$false) )
| ( $true = vAPP($o,$o,f1,vAPP($o,$o,f1,$true)) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f333,plain,
( ( $false != vAPP($o,$o,f1,$false) )
| ( $false != vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,$false)))) )
| ( $true != vAPP($o,$o,f0,vAPP($o,$o,f1,$false)) )
| ( $true = $false ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f332,plain,
( ( $false != vAPP($o,$o,f1,$false) )
| ( vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,x)))) != $false )
| ( $false != vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,$false)))) )
| ( $true != vAPP($o,$o,f0,vAPP($o,$o,f1,$false)) )
| ( vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,x)))) = $true ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f331,plain,
( ( $false != vAPP($o,$o,f1,$false) )
| ( $false != vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,$false)))) )
| ( $true != vAPP($o,$o,f0,vAPP($o,$o,f1,$false)) )
| ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x))) != $true )
| ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x))) = $false ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f330,plain,
( ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x))) != $true )
| ( $false != vAPP($o,$o,f1,$false) )
| ( $false != vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,$false)))) )
| ( $true != vAPP($o,$o,f0,vAPP($o,$o,f1,$false)) )
| ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x)))) != $true )
| ( $false = vAPP($o,$o,f0,$true) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f329,plain,
( ( $false != vAPP($o,$o,f1,$false) )
| ( $true != vAPP($o,$o,f0,vAPP($o,$o,f1,$false)) )
| ( $true = vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,$false)))) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f328,plain,
( ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x))) != $true )
| ( $false != vAPP($o,$o,f1,$false) )
| ( $false != vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,$false)))) )
| ( $true != vAPP($o,$o,f0,vAPP($o,$o,f1,$false)) )
| ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x)))) != $true )
| ( $false = vAPP($o,$o,f0,vAPP($o,$o,f1,$true)) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f327,plain,
( ( $false != vAPP($o,$o,f1,$false) )
| ( $false != vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,$false)))) )
| ( $true != vAPP($o,$o,f0,vAPP($o,$o,f1,$false)) )
| ( $true = vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,$false))) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f326,plain,
( ( $false != vAPP($o,$o,f1,$false) )
| ( $false != vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,$false)))) )
| ( $true != vAPP($o,$o,f0,vAPP($o,$o,f1,$false)) )
| ( $true = vAPP($o,$o,f1,vAPP($o,$o,f1,$true)) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f325,plain,
( ( $false != vAPP($o,$o,f1,vAPP($o,$o,f1,$false)) )
| ( x != $false )
| ( vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,x)))) != $false )
| ( vAPP($o,$o,f0,vAPP($o,$o,f1,x)) != $true )
| ( $true = $false ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f324,plain,
( ( $false != vAPP($o,$o,f1,vAPP($o,$o,f1,$false)) )
| ( x != $false )
| ( vAPP($o,$o,f0,vAPP($o,$o,f1,x)) != $true )
| ( vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,x)))) = $true ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f323,plain,
( ( $false != vAPP($o,$o,f1,vAPP($o,$o,f1,$false)) )
| ( x != $false )
| ( $false != vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,$false))) )
| ( vAPP($o,$o,f1,x) = $false ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f322,plain,
( ( $false != vAPP($o,$o,f1,vAPP($o,$o,f1,$false)) )
| ( x != $false )
| ( vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,x)))) != $false )
| ( vAPP($o,$o,f0,vAPP($o,$o,f1,x)) != $true )
| ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x))) != $true )
| ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x))) = $false ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f321,plain,
( ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x))) != $true )
| ( $false != vAPP($o,$o,f1,vAPP($o,$o,f1,$false)) )
| ( x != $false )
| ( vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,x)))) != $false )
| ( vAPP($o,$o,f0,vAPP($o,$o,f1,x)) != $true )
| ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x)))) != $true )
| ( $false = vAPP($o,$o,f0,$true) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f320,plain,
( ( $false != vAPP($o,$o,f1,vAPP($o,$o,f1,$false)) )
| ( $false != vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,$false))) )
| ( $false = vAPP($o,$o,f1,$false) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f319,plain,
( ( $false != vAPP($o,$o,f1,vAPP($o,$o,f1,$false)) )
| ( x != $false )
| ( vAPP($o,$o,f0,vAPP($o,$o,f1,x)) != $true )
| ( $true = vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,$false)))) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f318,plain,
( ( $false != vAPP($o,$o,f1,vAPP($o,$o,f1,$false)) )
| ( x != $false )
| ( vAPP($o,$o,f0,vAPP($o,$o,f1,x)) != $true )
| ( vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,x)))) != $false )
| ( $false = vAPP($o,$o,f0,vAPP($o,$o,f1,$true)) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f317,plain,
( ( $false != vAPP($o,$o,f1,vAPP($o,$o,f1,$false)) )
| ( x != $false )
| ( $false != vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,$false))) )
| ( vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,x)))) != $false )
| ( vAPP($o,$o,f0,vAPP($o,$o,f1,x)) != $true )
| ( $true = vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,$false))) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f316,plain,
( ( x != $false )
| ( $false != vAPP($o,$o,f1,vAPP($o,$o,f1,$false)) )
| ( vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,x)))) != $false )
| ( vAPP($o,$o,f0,vAPP($o,$o,f1,x)) != $true )
| ( $true = vAPP($o,$o,f1,vAPP($o,$o,f1,$true)) ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f315,plain,
( ~ spl0_32
| ~ spl0_16
| ~ spl0_24 ),
inference(avatar_split_clause,[],[f293,f221,f116,f308]) ).
thf(f293,plain,
( ( $true != vAPP($o,$o,f1,$true) )
| ~ spl0_16
| ~ spl0_24 ),
inference(trivial_inequality_removal,[],[f292]) ).
thf(f292,plain,
( ( $true = $false )
| ( $true != vAPP($o,$o,f1,$true) )
| ~ spl0_16
| ~ spl0_24 ),
inference(constrained_superposition,[],[f118,f223]) ).
thf(f314,plain,
( ~ spl0_32
| spl0_17
| ~ spl0_24 ),
inference(avatar_split_clause,[],[f294,f221,f134,f308]) ).
thf(f294,plain,
( ( $true != vAPP($o,$o,f1,$true) )
| spl0_17
| ~ spl0_24 ),
inference(trivial_inequality_removal,[],[f291]) ).
thf(f291,plain,
( ( $false != $false )
| ( $true != vAPP($o,$o,f1,$true) )
| spl0_17
| ~ spl0_24 ),
inference(constrained_superposition,[],[f136,f223]) ).
thf(f313,plain,
( spl0_31
| spl0_17
| ~ spl0_24 ),
inference(avatar_split_clause,[],[f295,f221,f134,f302]) ).
thf(f295,plain,
( ( $false = vAPP($o,$o,f1,$true) )
| spl0_17
| ~ spl0_24 ),
inference(trivial_inequality_removal,[],[f290]) ).
thf(f290,plain,
( ( $false != $false )
| ( $false = vAPP($o,$o,f1,$true) )
| spl0_17
| ~ spl0_24 ),
inference(superposition,[],[f174,f223]) ).
thf(f312,plain,
( spl0_31
| ~ spl0_16
| ~ spl0_24 ),
inference(avatar_split_clause,[],[f296,f221,f116,f302]) ).
thf(f296,plain,
( ( $false = vAPP($o,$o,f1,$true) )
| ~ spl0_16
| ~ spl0_24 ),
inference(trivial_inequality_removal,[],[f289]) ).
thf(f289,plain,
( ( $true = $false )
| ( $false = vAPP($o,$o,f1,$true) )
| ~ spl0_16
| ~ spl0_24 ),
inference(superposition,[],[f173,f223]) ).
thf(f173,plain,
( ! [X0: $o] :
( ( $true = vAPP($o,$o,f0,X0) )
| ( $false = X0 ) )
| ~ spl0_16 ),
inference(duplicate_literal_removal,[],[f171]) ).
thf(f171,plain,
( ! [X0: $o] :
( ( $true = vAPP($o,$o,f0,X0) )
| ( $false = X0 )
| ( $false = X0 ) )
| ~ spl0_16 ),
inference(binary_proxy_clausification,[],[f170]) ).
thf(f170,plain,
( ! [X0: $o] :
( ( vAPP($o,$o,f0,X0) = X0 )
| ( $false = X0 ) )
| ~ spl0_16 ),
inference(superposition,[],[f118,f4]) ).
thf(f311,plain,
( ~ spl0_32
| ~ spl0_16
| ~ spl0_24 ),
inference(avatar_split_clause,[],[f298,f221,f116,f308]) ).
thf(f298,plain,
( ( $true != vAPP($o,$o,f1,$true) )
| ~ spl0_16
| ~ spl0_24 ),
inference(trivial_inequality_removal,[],[f287]) ).
thf(f287,plain,
( ( $true = $false )
| ( $true != vAPP($o,$o,f1,$true) )
| ~ spl0_16
| ~ spl0_24 ),
inference(constrained_superposition,[],[f223,f118]) ).
thf(f306,plain,
( spl0_31
| ~ spl0_16
| ~ spl0_24 ),
inference(avatar_split_clause,[],[f299,f221,f116,f302]) ).
thf(f299,plain,
( ( $false = vAPP($o,$o,f1,$true) )
| ~ spl0_16
| ~ spl0_24 ),
inference(trivial_inequality_removal,[],[f286]) ).
thf(f286,plain,
( ( $true = $false )
| ( $false = vAPP($o,$o,f1,$true) )
| ~ spl0_16
| ~ spl0_24 ),
inference(superposition,[],[f223,f173]) ).
thf(f305,plain,
( spl0_31
| spl0_17
| ~ spl0_24 ),
inference(avatar_split_clause,[],[f300,f221,f134,f302]) ).
thf(f300,plain,
( ( $false = vAPP($o,$o,f1,$true) )
| spl0_17
| ~ spl0_24 ),
inference(subsumption_resolution,[],[f285,f136]) ).
thf(f285,plain,
( ( $false = vAPP($o,$o,f0,$true) )
| ( $false = vAPP($o,$o,f1,$true) )
| ~ spl0_24 ),
inference(superposition,[],[f223,f4]) ).
thf(f271,plain,
( spl0_30
| ~ spl0_22
| ~ spl0_29 ),
inference(avatar_split_clause,[],[f266,f262,f212,f268]) ).
thf(f266,plain,
( ( $false = vAPP($o,$o,f0,$false) )
| ~ spl0_22
| ~ spl0_29 ),
inference(backward_demodulation,[],[f214,f264]) ).
thf(f265,plain,
( spl0_29
| ~ spl0_25
| ~ spl0_27 ),
inference(avatar_split_clause,[],[f260,f238,f227,f262]) ).
thf(f260,plain,
( ( $false = vAPP($o,$o,f1,vAPP($o,$o,f1,$true)) )
| ~ spl0_25
| ~ spl0_27 ),
inference(forward_demodulation,[],[f229,f240]) ).
thf(f240,plain,
( ( $true = vAPP($o,$o,f1,$false) )
| ~ spl0_27 ),
inference(avatar_component_clause,[],[f238]) ).
thf(f259,plain,
( ~ spl0_28
| spl0_26
| ~ spl0_27 ),
inference(avatar_split_clause,[],[f254,f238,f233,f256]) ).
thf(f233,plain,
( spl0_26
<=> ( $true = vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,$false))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_26])]) ).
thf(f254,plain,
( ( $true != vAPP($o,$o,f1,vAPP($o,$o,f1,$true)) )
| spl0_26
| ~ spl0_27 ),
inference(forward_demodulation,[],[f235,f240]) ).
thf(f235,plain,
( ( $true != vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,$false))) )
| spl0_26 ),
inference(avatar_component_clause,[],[f233]) ).
thf(f253,plain,
( spl0_22
| ~ spl0_20
| ~ spl0_27 ),
inference(avatar_split_clause,[],[f252,f238,f156,f212]) ).
thf(f252,plain,
( ( $false = vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,$true))) )
| ~ spl0_20
| ~ spl0_27 ),
inference(backward_demodulation,[],[f158,f240]) ).
thf(f158,plain,
( ( $false = vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,$false)))) )
| ~ spl0_20 ),
inference(avatar_component_clause,[],[f156]) ).
thf(f250,plain,
( spl0_25
| spl0_18
| ~ spl0_19
| ~ spl0_20 ),
inference(avatar_split_clause,[],[f249,f156,f151,f146,f227]) ).
thf(f249,plain,
( ( $false = vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,$false))) )
| spl0_18
| ~ spl0_19
| ~ spl0_20 ),
inference(subsumption_resolution,[],[f199,f148]) ).
thf(f199,plain,
( ( $false = vAPP($o,$o,f1,$false) )
| ( $false = vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,$false))) )
| ~ spl0_19
| ~ spl0_20 ),
inference(binary_proxy_clausification,[],[f197]) ).
thf(f197,plain,
( ( vAPP($o,$o,f1,$false) != vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,$false))) )
| ~ spl0_19
| ~ spl0_20 ),
inference(trivial_inequality_removal,[],[f196]) ).
thf(f196,plain,
( ( $true = $false )
| ( vAPP($o,$o,f1,$false) != vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,$false))) )
| ~ spl0_19
| ~ spl0_20 ),
inference(constrained_superposition,[],[f153,f158]) ).
thf(f153,plain,
( ( $true = vAPP($o,$o,f0,vAPP($o,$o,f1,$false)) )
| ~ spl0_19 ),
inference(avatar_component_clause,[],[f151]) ).
thf(f248,plain,
( spl0_26
| spl0_27
| ~ spl0_19
| ~ spl0_20 ),
inference(avatar_split_clause,[],[f198,f156,f151,f238,f233]) ).
thf(f198,plain,
( ( $true = vAPP($o,$o,f1,$false) )
| ( $true = vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,$false))) )
| ~ spl0_19
| ~ spl0_20 ),
inference(binary_proxy_clausification,[],[f197]) ).
thf(f247,plain,
( ~ spl0_26
| ~ spl0_16
| ~ spl0_20 ),
inference(avatar_split_clause,[],[f200,f156,f116,f233]) ).
thf(f200,plain,
( ( $true != vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,$false))) )
| ~ spl0_16
| ~ spl0_20 ),
inference(trivial_inequality_removal,[],[f195]) ).
thf(f195,plain,
( ( $true = $false )
| ( $true != vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,$false))) )
| ~ spl0_16
| ~ spl0_20 ),
inference(constrained_superposition,[],[f118,f158]) ).
thf(f246,plain,
( ~ spl0_26
| spl0_17
| ~ spl0_20 ),
inference(avatar_split_clause,[],[f201,f156,f134,f233]) ).
thf(f201,plain,
( ( $true != vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,$false))) )
| spl0_17
| ~ spl0_20 ),
inference(trivial_inequality_removal,[],[f194]) ).
thf(f194,plain,
( ( $false != $false )
| ( $true != vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,$false))) )
| spl0_17
| ~ spl0_20 ),
inference(constrained_superposition,[],[f136,f158]) ).
thf(f245,plain,
( spl0_25
| spl0_17
| ~ spl0_20 ),
inference(avatar_split_clause,[],[f202,f156,f134,f227]) ).
thf(f202,plain,
( ( $false = vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,$false))) )
| spl0_17
| ~ spl0_20 ),
inference(trivial_inequality_removal,[],[f193]) ).
thf(f193,plain,
( ( $false != $false )
| ( $false = vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,$false))) )
| spl0_17
| ~ spl0_20 ),
inference(superposition,[],[f174,f158]) ).
thf(f244,plain,
( spl0_25
| ~ spl0_16
| ~ spl0_20 ),
inference(avatar_split_clause,[],[f203,f156,f116,f227]) ).
thf(f203,plain,
( ( $false = vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,$false))) )
| ~ spl0_16
| ~ spl0_20 ),
inference(trivial_inequality_removal,[],[f192]) ).
thf(f192,plain,
( ( $true = $false )
| ( $false = vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,$false))) )
| ~ spl0_16
| ~ spl0_20 ),
inference(superposition,[],[f173,f158]) ).
thf(f243,plain,
( spl0_25
| spl0_18
| ~ spl0_19
| ~ spl0_20 ),
inference(avatar_split_clause,[],[f242,f156,f151,f146,f227]) ).
thf(f242,plain,
( ( $false = vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,$false))) )
| spl0_18
| ~ spl0_19
| ~ spl0_20 ),
inference(subsumption_resolution,[],[f207,f148]) ).
thf(f207,plain,
( ( $false = vAPP($o,$o,f1,$false) )
| ( $false = vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,$false))) )
| ~ spl0_19
| ~ spl0_20 ),
inference(binary_proxy_clausification,[],[f205]) ).
thf(f205,plain,
( ( vAPP($o,$o,f1,$false) != vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,$false))) )
| ~ spl0_19
| ~ spl0_20 ),
inference(trivial_inequality_removal,[],[f190]) ).
thf(f190,plain,
( ( $true = $false )
| ( vAPP($o,$o,f1,$false) != vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,$false))) )
| ~ spl0_19
| ~ spl0_20 ),
inference(constrained_superposition,[],[f158,f153]) ).
thf(f241,plain,
( spl0_26
| spl0_27
| ~ spl0_19
| ~ spl0_20 ),
inference(avatar_split_clause,[],[f206,f156,f151,f238,f233]) ).
thf(f206,plain,
( ( $true = vAPP($o,$o,f1,$false) )
| ( $true = vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,$false))) )
| ~ spl0_19
| ~ spl0_20 ),
inference(binary_proxy_clausification,[],[f205]) ).
thf(f236,plain,
( ~ spl0_26
| ~ spl0_16
| ~ spl0_20 ),
inference(avatar_split_clause,[],[f208,f156,f116,f233]) ).
thf(f208,plain,
( ( $true != vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,$false))) )
| ~ spl0_16
| ~ spl0_20 ),
inference(trivial_inequality_removal,[],[f189]) ).
thf(f189,plain,
( ( $true = $false )
| ( $true != vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,$false))) )
| ~ spl0_16
| ~ spl0_20 ),
inference(constrained_superposition,[],[f158,f118]) ).
thf(f231,plain,
( spl0_25
| ~ spl0_16
| ~ spl0_20 ),
inference(avatar_split_clause,[],[f209,f156,f116,f227]) ).
thf(f209,plain,
( ( $false = vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,$false))) )
| ~ spl0_16
| ~ spl0_20 ),
inference(trivial_inequality_removal,[],[f188]) ).
thf(f188,plain,
( ( $true = $false )
| ( $false = vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,$false))) )
| ~ spl0_16
| ~ spl0_20 ),
inference(superposition,[],[f158,f173]) ).
thf(f230,plain,
( spl0_25
| spl0_17
| ~ spl0_20 ),
inference(avatar_split_clause,[],[f225,f156,f134,f227]) ).
thf(f225,plain,
( ( $false = vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,$false))) )
| spl0_17
| ~ spl0_20 ),
inference(subsumption_resolution,[],[f187,f136]) ).
thf(f187,plain,
( ( $false = vAPP($o,$o,f0,$true) )
| ( $false = vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,$false))) )
| ~ spl0_20 ),
inference(superposition,[],[f158,f4]) ).
thf(f224,plain,
( spl0_23
| spl0_24
| ~ spl0_20 ),
inference(avatar_split_clause,[],[f186,f156,f221,f217]) ).
thf(f186,plain,
( ( $false = vAPP($o,$o,f0,vAPP($o,$o,f1,$true)) )
| ( $false = vAPP($o,$o,f1,vAPP($o,$o,f1,$false)) )
| ~ spl0_20 ),
inference(superposition,[],[f158,f4]) ).
thf(f215,plain,
( spl0_22
| spl0_18
| ~ spl0_20 ),
inference(avatar_split_clause,[],[f210,f156,f146,f212]) ).
thf(f210,plain,
( ( $false = vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,$true))) )
| spl0_18
| ~ spl0_20 ),
inference(subsumption_resolution,[],[f185,f148]) ).
thf(f185,plain,
( ( $false = vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,$true))) )
| ( $false = vAPP($o,$o,f1,$false) )
| ~ spl0_20 ),
inference(superposition,[],[f158,f4]) ).
thf(f165,plain,
( ~ spl0_21
| spl0_2
| ~ spl0_6 ),
inference(avatar_split_clause,[],[f160,f71,f15,f162]) ).
thf(f160,plain,
( ( $true != vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,$false)))) )
| spl0_2
| ~ spl0_6 ),
inference(forward_demodulation,[],[f16,f73]) ).
thf(f73,plain,
( ( x = $false )
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f71]) ).
thf(f16,plain,
( ( vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,x)))) != $true )
| spl0_2 ),
inference(avatar_component_clause,[],[f15]) ).
thf(f159,plain,
( spl0_20
| ~ spl0_4
| ~ spl0_6 ),
inference(avatar_split_clause,[],[f144,f71,f24,f156]) ).
thf(f144,plain,
( ( $false = vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,$false)))) )
| ~ spl0_4
| ~ spl0_6 ),
inference(backward_demodulation,[],[f26,f73]) ).
thf(f26,plain,
( ( vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,x)))) = $false )
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f24]) ).
thf(f154,plain,
( spl0_19
| ~ spl0_6
| ~ spl0_15 ),
inference(avatar_split_clause,[],[f143,f112,f71,f151]) ).
thf(f143,plain,
( ( $true = vAPP($o,$o,f0,vAPP($o,$o,f1,$false)) )
| ~ spl0_6
| ~ spl0_15 ),
inference(backward_demodulation,[],[f114,f73]) ).
thf(f149,plain,
( ~ spl0_18
| ~ spl0_6
| spl0_8 ),
inference(avatar_split_clause,[],[f142,f80,f71,f146]) ).
thf(f142,plain,
( ( $false != vAPP($o,$o,f1,$false) )
| ~ spl0_6
| spl0_8 ),
inference(backward_demodulation,[],[f81,f73]) ).
thf(f137,plain,
( ~ spl0_17
| spl0_13
| ~ spl0_15 ),
inference(avatar_split_clause,[],[f132,f112,f102,f134]) ).
thf(f132,plain,
( ( $false != vAPP($o,$o,f0,$true) )
| spl0_13
| ~ spl0_15 ),
inference(forward_demodulation,[],[f103,f114]) ).
thf(f129,plain,
( ( $true != vAPP($o,$o,f0,vAPP($o,$o,f0,$true)) )
| ( vAPP($o,$o,f0,vAPP($o,$o,f1,x)) != $true )
| ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x))) != $false )
| ( $true != vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,$true))) )
| ( $true = $false ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f128,plain,
( ( $true != vAPP($o,$o,f0,vAPP($o,$o,f0,$true)) )
| ( vAPP($o,$o,f0,vAPP($o,$o,f1,x)) != $true )
| ( vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,x)))) != $false )
| ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x))) != $false )
| ( $true != vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,$true))) )
| ( vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,x)))) = $true ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f127,plain,
( ( $true != vAPP($o,$o,f0,vAPP($o,$o,f0,$true)) )
| ( vAPP($o,$o,f0,vAPP($o,$o,f1,x)) != $true )
| ( $true != vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,$true))) )
| ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x))) = $true ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f126,plain,
( ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x))) != $false )
| ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x))) != $true )
| ( $true = $false ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f125,plain,
( ( vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,x)))) != $false )
| ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x))) != $false )
| ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x))) != $true )
| ( vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,x)))) = $true ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f124,plain,
( ( x != $false )
| ( vAPP($o,$o,f1,x) != $false )
| ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x)))) != $true )
| ( vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,x)))) != $false )
| ( $true = $false ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f123,plain,
( ( x != $false )
| ( vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,x)))) != $false )
| ( vAPP($o,$o,f1,x) != $false )
| ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x)))) != $true )
| ( vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,x)))) = $true ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f122,plain,
( ( vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,x)))) != $false )
| ( vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,x)))) != $true )
| ( $true = $false ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f121,plain,
( spl0_13
| spl0_16
| ~ spl0_3 ),
inference(avatar_split_clause,[],[f65,f19,f116,f102]) ).
thf(f19,plain,
( spl0_3
<=> ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x)))) = $true ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).
thf(f65,plain,
( ( $true = vAPP($o,$o,f0,$true) )
| ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x))) = $false )
| ~ spl0_3 ),
inference(superposition,[],[f21,f4]) ).
thf(f21,plain,
( ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x)))) = $true )
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f19]) ).
thf(f120,plain,
( spl0_13
| spl0_14
| spl0_16
| ~ spl0_3 ),
inference(avatar_split_clause,[],[f67,f19,f116,f107,f102]) ).
thf(f67,plain,
( ( $true = vAPP($o,$o,f0,$true) )
| ( vAPP($o,$o,f0,vAPP($o,$o,f1,x)) = $false )
| ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x))) = $false )
| ~ spl0_3 ),
inference(binary_proxy_clausification,[],[f64]) ).
thf(f64,plain,
( ( $true = vAPP($o,$o,f0,$true) )
| ( vAPP($o,$o,f0,vAPP($o,$o,f1,x)) != vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x))) )
| ~ spl0_3 ),
inference(constrained_superposition,[],[f21,f21]) ).
thf(f119,plain,
( spl0_10
| spl0_15
| spl0_16
| ~ spl0_3 ),
inference(avatar_split_clause,[],[f66,f19,f116,f112,f89]) ).
thf(f66,plain,
( ( $true = vAPP($o,$o,f0,$true) )
| ( vAPP($o,$o,f0,vAPP($o,$o,f1,x)) = $true )
| ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x))) = $true )
| ~ spl0_3 ),
inference(binary_proxy_clausification,[],[f64]) ).
thf(f110,plain,
( spl0_14
| spl0_12
| ~ spl0_3 ),
inference(avatar_split_clause,[],[f63,f19,f97,f107]) ).
thf(f63,plain,
( ( $true = vAPP($o,$o,f0,vAPP($o,$o,f0,$true)) )
| ( vAPP($o,$o,f0,vAPP($o,$o,f1,x)) = $false )
| ~ spl0_3 ),
inference(superposition,[],[f21,f4]) ).
thf(f105,plain,
( spl0_13
| spl0_8
| spl0_12
| ~ spl0_3 ),
inference(avatar_split_clause,[],[f69,f19,f97,f80,f102]) ).
thf(f69,plain,
( ( $true = vAPP($o,$o,f0,vAPP($o,$o,f0,$true)) )
| ( vAPP($o,$o,f1,x) = $false )
| ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x))) = $false )
| ~ spl0_3 ),
inference(binary_proxy_clausification,[],[f62]) ).
thf(f62,plain,
( ( $true = vAPP($o,$o,f0,vAPP($o,$o,f0,$true)) )
| ( vAPP($o,$o,f1,x) != vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x))) )
| ~ spl0_3 ),
inference(constrained_superposition,[],[f21,f21]) ).
thf(f100,plain,
( spl0_10
| spl0_11
| spl0_12
| ~ spl0_3 ),
inference(avatar_split_clause,[],[f68,f19,f97,f93,f89]) ).
thf(f68,plain,
( ( $true = vAPP($o,$o,f0,vAPP($o,$o,f0,$true)) )
| ( vAPP($o,$o,f1,x) = $true )
| ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,x))) = $true )
| ~ spl0_3 ),
inference(binary_proxy_clausification,[],[f62]) ).
thf(f87,plain,
( spl0_8
| spl0_9
| ~ spl0_3 ),
inference(avatar_split_clause,[],[f61,f19,f84,f80]) ).
thf(f61,plain,
( ( $true = vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,$true))) )
| ( vAPP($o,$o,f1,x) = $false )
| ~ spl0_3 ),
inference(superposition,[],[f21,f4]) ).
thf(f78,plain,
( spl0_6
| spl0_7
| ~ spl0_3 ),
inference(avatar_split_clause,[],[f60,f19,f75,f71]) ).
thf(f60,plain,
( ( $true = vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,$true)))) )
| ( x = $false )
| ~ spl0_3 ),
inference(superposition,[],[f21,f4]) ).
thf(f31,plain,
( spl0_4
| spl0_5 ),
inference(avatar_split_clause,[],[f8,f28,f24]) ).
thf(f22,plain,
( spl0_2
| spl0_3 ),
inference(avatar_split_clause,[],[f7,f19,f15]) ).
thf(f13,plain,
~ spl0_1,
inference(avatar_split_clause,[],[f3,f10]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SYO500^1.002 : TPTP v8.2.0. Released v4.1.0.
% 0.14/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.35 % Computer : n006.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Mon May 20 09:24:22 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.14/0.35 % (383)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.37 % (386)WARNING: value z3 for option sas not known
% 0.20/0.37 % (387)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.20/0.37 % (389)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)
% 0.20/0.37 % Exception at run slice level
% 0.20/0.37 User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.20/0.37 % (386)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)
% 0.20/0.37 % (388)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)
% 0.20/0.37 % (390)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)
% 0.20/0.37 % (390)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 0.20/0.37 % (385)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.20/0.37 % Exception at run slice level
% 0.20/0.37 User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.20/0.38 % (384)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.20/0.38 % Exception at run slice level
% 0.20/0.38 User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.20/0.38 % (391)fmb+10_1_fmbas=expand:fmbsr=1.1:gsp=on:nm=4_411 on theBenchmark for (411ds/0Mi)
% 0.20/0.38 % (391)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 0.20/0.38 % Exception at run slice level
% 0.20/0.38 User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.20/0.38 % (392)ott+1_9_av=off:bd=off:bs=on:gsp=on:lcm=predicate:nm=4:sp=weighted_frequency:urr=on_382 on theBenchmark for (382ds/0Mi)
% 0.20/0.38 % (392)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 0.20/0.40 % (394)ott+4_64_acc=on:anc=none:bs=on:bsr=on:fsd=off:gs=on:gsem=off:irw=on:msp=off:nwc=2.5:nicw=on:sims=off_354 on theBenchmark for (354ds/0Mi)
% 0.20/0.40 % (393)lrs-11_2:5_fsd=off:fde=none:nm=4:nwc=5.0:sims=off:sp=reverse_weighted_frequency:stl=62_367 on theBenchmark for (367ds/0Mi)
% 0.20/0.42 % (394)First to succeed.
% 0.20/0.43 % (393)Also succeeded, but the first one will report.
% 0.20/0.45 % (395)WARNING: value z3 for option sas not known
% 0.20/0.45 % (394)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-383"
% 0.20/0.45 % (395)ott-11_10:1_aac=none:add=off:afr=on:amm=off:anc=all_dependent:bd=off:fsd=off:fde=none:gsp=on:irw=on:lma=on:nm=64:nwc=1.2:nicw=on:sas=z3:sp=occurrence_186 on theBenchmark for (186ds/0Mi)
% 0.20/0.45 % (395)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 0.20/0.45 % (394)Refutation found. Thanks to Tanya!
% 0.20/0.45 % SZS status Theorem for theBenchmark
% 0.20/0.45 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.46 % (394)------------------------------
% 0.20/0.46 % (394)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.20/0.46 % (394)Termination reason: Refutation
% 0.20/0.46
% 0.20/0.46 % (394)Memory used [KB]: 1282
% 0.20/0.46 % (394)Time elapsed: 0.050 s
% 0.20/0.46 % (394)Instructions burned: 108 (million)
% 0.20/0.46 % (383)Success in time 0.097 s
%------------------------------------------------------------------------------