TSTP Solution File: GRP257-1 by Vampire-SAT---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : GRP257-1 : TPTP v8.2.0. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n014.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 : Mon May 20 21:18:48 EDT 2024
% Result : Unsatisfiable 0.17s 0.43s
% Output : Refutation 0.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 29
% Number of leaves : 69
% Syntax : Number of formulae : 922 ( 10 unt; 0 def)
% Number of atoms : 3156 ( 813 equ)
% Maximal formula atoms : 13 ( 3 avg)
% Number of connectives : 3931 (1697 ~;2211 |; 0 &)
% ( 23 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 21 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 25 ( 23 usr; 24 prp; 0-2 aty)
% Number of functors : 13 ( 13 usr; 11 con; 0-2 aty)
% Number of variables : 173 ( 173 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1539,plain,
$false,
inference(avatar_sat_refutation,[],[f56,f109,f158,f178,f192,f266,f273,f275,f278,f281,f283,f286,f289,f291,f317,f335,f348,f362,f369,f383,f389,f395,f414,f423,f432,f496,f498,f500,f502,f505,f507,f509,f511,f513,f515,f517,f519,f521,f523,f525,f527,f544,f545,f546,f547,f548,f612,f629,f655,f669,f676,f678,f735,f737,f749,f751,f847,f850,f860,f862,f864,f901,f941,f944,f949,f953,f956,f958,f961,f963,f977,f982,f987,f992,f994,f996,f998,f1003,f1006,f1010,f1013,f1017,f1019,f1036,f1038,f1041,f1044,f1048,f1078,f1082,f1084,f1087,f1090,f1093,f1096,f1099,f1102,f1105,f1107,f1109,f1111,f1113,f1116,f1118,f1120,f1122,f1124,f1126,f1128,f1130,f1132,f1134,f1136,f1138,f1141,f1143,f1145,f1147,f1149,f1151,f1154,f1156,f1158,f1160,f1162,f1164,f1166,f1168,f1170,f1172,f1174,f1176,f1178,f1180,f1182,f1184,f1186,f1188,f1190,f1192,f1194,f1196,f1198,f1200,f1202,f1204,f1206,f1208,f1210,f1284,f1288,f1293,f1295,f1297,f1299,f1301,f1303,f1305,f1307,f1309,f1349,f1376,f1490,f1502,f1506,f1509,f1515,f1517,f1519,f1521,f1528,f1530,f1532,f1538]) ).
fof(f1538,plain,
( ~ spl0_5
| spl0_9
| ~ spl0_15
| ~ spl0_19 ),
inference(avatar_contradiction_clause,[],[f1537]) ).
fof(f1537,plain,
( $false
| ~ spl0_5
| spl0_9
| ~ spl0_15
| ~ spl0_19 ),
inference(global_subsumption,[],[f1,f2,f12,f3,f47,f21,f16,f15,f13,f7,f35,f17,f14,f28,f198,f199,f201,f204,f206,f207,f209,f212,f213,f214,f216,f220,f229,f222,f231,f224,f234,f225,f236,f221,f276,f279,f284,f287,f26,f31,f32,f34,f36,f37,f40,f19,f5,f33,f38,f4,f190,f217,f30,f29,f27,f42,f45,f76,f807,f809,f820,f934,f1011,f1004,f25,f985,f11,f1042,f954,f1074,f102,f20,f22,f23,f24,f44,f43,f41,f18,f39,f6,f8,f9,f10,f806,f412,f360,f1362,f1386,f1389,f1397,f1398,f1404,f1409,f1410,f1415,f1416,f1422,f1427,f1428,f1430,f1433,f1436,f1439,f1379,f1452,f1381,f1462,f1384,f1464,f1467,f1468,f1463,f1471,f1472,f1470,f1476,f1453,f1481,f1484,f1485,f1480,f1488,f942,f935,f1526,f898,f1536]) ).
fof(f1536,plain,
( ! [X9] :
( identity != multiply(identity,multiply(X9,identity))
| identity != inverse(X9) )
| ~ spl0_5
| ~ spl0_15
| ~ spl0_19 ),
inference(forward_demodulation,[],[f1535,f360]) ).
fof(f1535,plain,
( ! [X9] :
( sk_c9 != multiply(sk_c9,multiply(X9,sk_c9))
| identity != inverse(X9) )
| ~ spl0_5
| ~ spl0_15
| ~ spl0_19 ),
inference(forward_demodulation,[],[f1534,f412]) ).
fof(f1534,plain,
( ! [X9] :
( identity != inverse(X9)
| sk_c9 != multiply(sk_c8,multiply(X9,sk_c8)) )
| ~ spl0_5
| ~ spl0_15
| ~ spl0_19 ),
inference(forward_demodulation,[],[f1533,f360]) ).
fof(f1533,plain,
( ! [X9] :
( sk_c9 != inverse(X9)
| sk_c9 != multiply(sk_c8,multiply(X9,sk_c8)) )
| ~ spl0_5
| ~ spl0_19 ),
inference(forward_demodulation,[],[f102,f412]) ).
fof(f898,plain,
( ! [X9] :
( identity != multiply(identity,multiply(X9,identity))
| identity != inverse(X9) )
| ~ spl0_5
| ~ spl0_15
| ~ spl0_19 ),
inference(forward_demodulation,[],[f897,f360]) ).
fof(f897,plain,
( ! [X9] :
( sk_c9 != multiply(sk_c9,multiply(X9,sk_c9))
| identity != inverse(X9) )
| ~ spl0_5
| ~ spl0_15
| ~ spl0_19 ),
inference(forward_demodulation,[],[f896,f412]) ).
fof(f896,plain,
( ! [X9] :
( identity != inverse(X9)
| sk_c9 != multiply(sk_c8,multiply(X9,sk_c8)) )
| ~ spl0_5
| ~ spl0_15
| ~ spl0_19 ),
inference(forward_demodulation,[],[f895,f360]) ).
fof(f895,plain,
( ! [X9] :
( sk_c9 != inverse(X9)
| sk_c9 != multiply(sk_c8,multiply(X9,sk_c8)) )
| ~ spl0_5
| ~ spl0_19 ),
inference(forward_demodulation,[],[f102,f412]) ).
fof(f1526,plain,
( ! [X9] :
( identity != inverse(X9)
| identity != multiply(identity,multiply(X9,identity)) )
| ~ spl0_5
| ~ spl0_15
| ~ spl0_19 ),
inference(forward_demodulation,[],[f1525,f360]) ).
fof(f1525,plain,
( ! [X9] :
( identity != multiply(identity,multiply(X9,identity))
| sk_c9 != inverse(X9) )
| ~ spl0_5
| ~ spl0_15
| ~ spl0_19 ),
inference(forward_demodulation,[],[f954,f360]) ).
fof(f935,plain,
( ! [X0] :
( identity != multiply(X0,identity)
| identity != inverse(X0) )
| ~ spl0_5
| ~ spl0_15
| ~ spl0_19 ),
inference(superposition,[],[f898,f1]) ).
fof(f942,plain,
( identity != inverse(identity)
| ~ spl0_5
| ~ spl0_15
| ~ spl0_19 ),
inference(subsumption_resolution,[],[f931,f1]) ).
fof(f931,plain,
( identity != multiply(identity,identity)
| identity != inverse(identity)
| ~ spl0_5
| ~ spl0_15
| ~ spl0_19 ),
inference(superposition,[],[f898,f1]) ).
fof(f1488,plain,
( identity = inverse(identity)
| spl0_9
| ~ spl0_15
| ~ spl0_19 ),
inference(superposition,[],[f1379,f1480]) ).
fof(f1480,plain,
( identity = sk_c6
| spl0_9
| ~ spl0_15
| ~ spl0_19 ),
inference(superposition,[],[f1453,f1]) ).
fof(f1485,plain,
( ! [X0] : multiply(identity,multiply(sk_c6,X0)) = X0
| spl0_9
| ~ spl0_15
| ~ spl0_19 ),
inference(forward_demodulation,[],[f1483,f1]) ).
fof(f1483,plain,
( ! [X0] : multiply(identity,X0) = multiply(identity,multiply(sk_c6,X0))
| spl0_9
| ~ spl0_15
| ~ spl0_19 ),
inference(superposition,[],[f3,f1453]) ).
fof(f1484,plain,
( identity = sk_c6
| spl0_9
| ~ spl0_15
| ~ spl0_19 ),
inference(forward_demodulation,[],[f1482,f2]) ).
fof(f1482,plain,
( sk_c6 = multiply(inverse(identity),identity)
| spl0_9
| ~ spl0_15
| ~ spl0_19 ),
inference(superposition,[],[f76,f1453]) ).
fof(f1481,plain,
( identity = sk_c6
| spl0_9
| ~ spl0_15
| ~ spl0_19 ),
inference(superposition,[],[f1,f1453]) ).
fof(f1453,plain,
( identity = multiply(identity,sk_c6)
| spl0_9
| ~ spl0_15
| ~ spl0_19 ),
inference(superposition,[],[f2,f1379]) ).
fof(f1476,plain,
( ! [X0] : multiply(sk_c6,X0) = X0
| spl0_9
| ~ spl0_15
| ~ spl0_19 ),
inference(forward_demodulation,[],[f1474,f1]) ).
fof(f1474,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c6,multiply(identity,X0))
| spl0_9
| ~ spl0_15
| ~ spl0_19 ),
inference(superposition,[],[f3,f1470]) ).
fof(f1470,plain,
( identity = multiply(sk_c6,identity)
| spl0_9
| ~ spl0_15
| ~ spl0_19 ),
inference(forward_demodulation,[],[f1386,f1463]) ).
fof(f1472,plain,
( identity = multiply(sk_c6,identity)
| spl0_9
| ~ spl0_15
| ~ spl0_19 ),
inference(forward_demodulation,[],[f1416,f1463]) ).
fof(f1471,plain,
( identity = multiply(sk_c6,identity)
| spl0_9
| ~ spl0_15
| ~ spl0_19 ),
inference(forward_demodulation,[],[f1410,f1463]) ).
fof(f1463,plain,
( identity = sk_c7
| spl0_9
| ~ spl0_15
| ~ spl0_19 ),
inference(superposition,[],[f1384,f1]) ).
fof(f1468,plain,
( ! [X0] : multiply(identity,multiply(sk_c7,X0)) = X0
| spl0_9
| ~ spl0_15
| ~ spl0_19 ),
inference(forward_demodulation,[],[f1466,f1]) ).
fof(f1466,plain,
( ! [X0] : multiply(identity,X0) = multiply(identity,multiply(sk_c7,X0))
| spl0_9
| ~ spl0_15
| ~ spl0_19 ),
inference(superposition,[],[f3,f1384]) ).
fof(f1467,plain,
( identity = sk_c7
| spl0_9
| ~ spl0_15
| ~ spl0_19 ),
inference(forward_demodulation,[],[f1465,f2]) ).
fof(f1465,plain,
( sk_c7 = multiply(inverse(identity),identity)
| spl0_9
| ~ spl0_15
| ~ spl0_19 ),
inference(superposition,[],[f76,f1384]) ).
fof(f1464,plain,
( identity = sk_c7
| spl0_9
| ~ spl0_15
| ~ spl0_19 ),
inference(superposition,[],[f1,f1384]) ).
fof(f1384,plain,
( identity = multiply(identity,sk_c7)
| spl0_9
| ~ spl0_15
| ~ spl0_19 ),
inference(forward_demodulation,[],[f1383,f360]) ).
fof(f1383,plain,
( sk_c9 = multiply(sk_c9,sk_c7)
| spl0_9
| ~ spl0_15
| ~ spl0_19 ),
inference(forward_demodulation,[],[f1382,f412]) ).
fof(f1382,plain,
( sk_c9 = multiply(sk_c8,sk_c7)
| spl0_9
| ~ spl0_15 ),
inference(subsumption_resolution,[],[f1355,f1362]) ).
fof(f1355,plain,
( identity = inverse(sk_c2)
| sk_c9 = multiply(sk_c8,sk_c7)
| ~ spl0_15 ),
inference(forward_demodulation,[],[f29,f360]) ).
fof(f1462,plain,
( ! [X0] : multiply(sk_c5,X0) = X0
| spl0_9
| ~ spl0_15
| ~ spl0_19 ),
inference(forward_demodulation,[],[f1456,f1]) ).
fof(f1456,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c5,multiply(identity,X0))
| spl0_9
| ~ spl0_15
| ~ spl0_19 ),
inference(superposition,[],[f3,f1381]) ).
fof(f1381,plain,
( identity = multiply(sk_c5,identity)
| spl0_9
| ~ spl0_15
| ~ spl0_19 ),
inference(forward_demodulation,[],[f1380,f360]) ).
fof(f1380,plain,
( sk_c9 = multiply(sk_c5,sk_c9)
| spl0_9
| ~ spl0_15
| ~ spl0_19 ),
inference(subsumption_resolution,[],[f1360,f1362]) ).
fof(f1360,plain,
( sk_c9 = multiply(sk_c5,sk_c9)
| identity = inverse(sk_c2)
| ~ spl0_15
| ~ spl0_19 ),
inference(forward_demodulation,[],[f1359,f412]) ).
fof(f1359,plain,
( identity = inverse(sk_c2)
| sk_c9 = multiply(sk_c5,sk_c8)
| ~ spl0_15 ),
inference(forward_demodulation,[],[f27,f360]) ).
fof(f1452,plain,
( ! [X0] : multiply(identity,multiply(sk_c6,X0)) = X0
| spl0_9
| ~ spl0_15
| ~ spl0_19 ),
inference(superposition,[],[f76,f1379]) ).
fof(f1379,plain,
( identity = inverse(sk_c6)
| spl0_9
| ~ spl0_15
| ~ spl0_19 ),
inference(forward_demodulation,[],[f1378,f360]) ).
fof(f1378,plain,
( sk_c9 = inverse(sk_c6)
| spl0_9
| ~ spl0_19 ),
inference(forward_demodulation,[],[f198,f412]) ).
fof(f1439,plain,
( identity = inverse(sk_c6)
| sk_c10 = inverse(sk_c1)
| ~ spl0_15
| ~ spl0_19 ),
inference(forward_demodulation,[],[f1438,f360]) ).
fof(f1438,plain,
( sk_c9 = inverse(sk_c6)
| sk_c10 = inverse(sk_c1)
| ~ spl0_19 ),
inference(forward_demodulation,[],[f17,f412]) ).
fof(f1436,plain,
( identity = multiply(sk_c5,identity)
| sk_c10 = inverse(sk_c1)
| ~ spl0_15
| ~ spl0_19 ),
inference(forward_demodulation,[],[f1435,f360]) ).
fof(f1435,plain,
( sk_c9 = multiply(sk_c5,sk_c9)
| sk_c10 = inverse(sk_c1)
| ~ spl0_19 ),
inference(forward_demodulation,[],[f13,f412]) ).
fof(f1433,plain,
( identity = multiply(identity,sk_c7)
| sk_c10 = inverse(sk_c1)
| ~ spl0_15
| ~ spl0_19 ),
inference(forward_demodulation,[],[f1432,f360]) ).
fof(f1432,plain,
( sk_c9 = multiply(sk_c9,sk_c7)
| sk_c10 = inverse(sk_c1)
| ~ spl0_19 ),
inference(forward_demodulation,[],[f15,f412]) ).
fof(f1430,plain,
( sk_c7 = multiply(sk_c6,identity)
| sk_c10 = inverse(sk_c1)
| ~ spl0_15
| ~ spl0_19 ),
inference(forward_demodulation,[],[f1429,f360]) ).
fof(f1429,plain,
( sk_c7 = multiply(sk_c6,sk_c9)
| sk_c10 = inverse(sk_c1)
| ~ spl0_19 ),
inference(forward_demodulation,[],[f16,f412]) ).
fof(f1428,plain,
( identity = multiply(sk_c5,identity)
| spl0_9
| ~ spl0_15
| ~ spl0_19 ),
inference(global_subsumption,[],[f1,f2,f12,f3,f47,f21,f16,f15,f13,f7,f35,f17,f14,f28,f198,f199,f201,f204,f206,f207,f209,f212,f213,f214,f216,f220,f229,f222,f231,f224,f234,f225,f236,f221,f276,f279,f284,f287,f26,f31,f32,f34,f36,f37,f40,f19,f5,f33,f38,f4,f190,f217,f30,f29,f27,f42,f45,f76,f807,f809,f820,f1011,f1004,f25,f985,f11,f1042,f20,f22,f23,f24,f44,f43,f41,f18,f39,f6,f8,f9,f10,f806,f412,f360,f1362,f1379,f1381,f1384,f1386,f1389,f1397,f1398,f1404,f1409,f1410,f1415,f1416,f1422,f1427]) ).
fof(f1427,plain,
( identity = multiply(sk_c2,identity)
| identity = multiply(sk_c5,identity)
| ~ spl0_15
| ~ spl0_19 ),
inference(forward_demodulation,[],[f1426,f360]) ).
fof(f1426,plain,
( sk_c9 = multiply(sk_c2,identity)
| identity = multiply(sk_c5,identity)
| ~ spl0_15
| ~ spl0_19 ),
inference(forward_demodulation,[],[f1425,f412]) ).
fof(f1425,plain,
( sk_c8 = multiply(sk_c2,identity)
| identity = multiply(sk_c5,identity)
| ~ spl0_15
| ~ spl0_19 ),
inference(forward_demodulation,[],[f1424,f360]) ).
fof(f1424,plain,
( identity = multiply(sk_c5,identity)
| sk_c8 = multiply(sk_c2,sk_c9)
| ~ spl0_15
| ~ spl0_19 ),
inference(forward_demodulation,[],[f1423,f360]) ).
fof(f1423,plain,
( sk_c9 = multiply(sk_c5,sk_c9)
| sk_c8 = multiply(sk_c2,sk_c9)
| ~ spl0_19 ),
inference(forward_demodulation,[],[f20,f412]) ).
fof(f1422,plain,
( identity = multiply(sk_c2,identity)
| identity = sk_c7
| ~ spl0_15
| ~ spl0_19 ),
inference(forward_demodulation,[],[f1421,f360]) ).
fof(f1421,plain,
( sk_c9 = multiply(sk_c2,identity)
| identity = sk_c7
| ~ spl0_15
| ~ spl0_19 ),
inference(forward_demodulation,[],[f1420,f412]) ).
fof(f1420,plain,
( sk_c8 = multiply(sk_c2,identity)
| identity = sk_c7
| ~ spl0_15
| ~ spl0_19 ),
inference(forward_demodulation,[],[f1419,f360]) ).
fof(f1419,plain,
( identity = sk_c7
| sk_c8 = multiply(sk_c2,sk_c9)
| ~ spl0_15
| ~ spl0_19 ),
inference(forward_demodulation,[],[f1418,f1]) ).
fof(f1418,plain,
( identity = multiply(identity,sk_c7)
| sk_c8 = multiply(sk_c2,sk_c9)
| ~ spl0_15
| ~ spl0_19 ),
inference(forward_demodulation,[],[f1417,f360]) ).
fof(f1417,plain,
( sk_c9 = multiply(sk_c9,sk_c7)
| sk_c8 = multiply(sk_c2,sk_c9)
| ~ spl0_19 ),
inference(forward_demodulation,[],[f22,f412]) ).
fof(f1416,plain,
( sk_c7 = multiply(sk_c6,identity)
| spl0_9
| ~ spl0_15
| ~ spl0_19 ),
inference(global_subsumption,[],[f1,f2,f12,f3,f47,f21,f16,f15,f13,f7,f35,f17,f14,f28,f198,f199,f201,f204,f206,f207,f209,f212,f213,f214,f216,f220,f229,f222,f231,f224,f234,f225,f236,f221,f276,f279,f284,f287,f26,f31,f32,f34,f36,f37,f40,f19,f5,f33,f38,f4,f190,f217,f30,f29,f27,f42,f45,f76,f807,f809,f820,f1011,f1004,f25,f985,f11,f1042,f20,f22,f23,f24,f44,f43,f41,f18,f39,f6,f8,f9,f10,f806,f412,f360,f1362,f1379,f1381,f1384,f1386,f1389,f1397,f1398,f1404,f1409,f1410,f1415]) ).
fof(f1415,plain,
( identity = multiply(sk_c2,identity)
| sk_c7 = multiply(sk_c6,identity)
| ~ spl0_15
| ~ spl0_19 ),
inference(forward_demodulation,[],[f1414,f360]) ).
fof(f1414,plain,
( sk_c9 = multiply(sk_c2,identity)
| sk_c7 = multiply(sk_c6,identity)
| ~ spl0_15
| ~ spl0_19 ),
inference(forward_demodulation,[],[f1413,f412]) ).
fof(f1413,plain,
( sk_c8 = multiply(sk_c2,identity)
| sk_c7 = multiply(sk_c6,identity)
| ~ spl0_15
| ~ spl0_19 ),
inference(forward_demodulation,[],[f1412,f360]) ).
fof(f1412,plain,
( sk_c7 = multiply(sk_c6,identity)
| sk_c8 = multiply(sk_c2,sk_c9)
| ~ spl0_15
| ~ spl0_19 ),
inference(forward_demodulation,[],[f1411,f360]) ).
fof(f1411,plain,
( sk_c7 = multiply(sk_c6,sk_c9)
| sk_c8 = multiply(sk_c2,sk_c9)
| ~ spl0_19 ),
inference(forward_demodulation,[],[f23,f412]) ).
fof(f1410,plain,
( sk_c7 = multiply(sk_c6,identity)
| spl0_9
| ~ spl0_15
| ~ spl0_19 ),
inference(global_subsumption,[],[f1,f2,f12,f3,f47,f21,f16,f15,f13,f7,f35,f17,f14,f28,f198,f199,f201,f204,f206,f207,f209,f212,f213,f214,f216,f220,f229,f222,f231,f224,f234,f225,f236,f221,f276,f279,f284,f287,f26,f31,f32,f34,f36,f37,f40,f19,f5,f33,f38,f4,f190,f217,f30,f29,f27,f42,f45,f76,f807,f809,f820,f1011,f1004,f25,f985,f11,f1042,f20,f22,f23,f24,f44,f43,f41,f18,f39,f6,f8,f9,f10,f806,f412,f360,f1362,f1379,f1381,f1384,f1386,f1389,f1397,f1398,f1404,f1409]) ).
fof(f1409,plain,
( identity = multiply(sk_c3,identity)
| sk_c7 = multiply(sk_c6,identity)
| ~ spl0_15
| ~ spl0_19 ),
inference(forward_demodulation,[],[f1408,f360]) ).
fof(f1408,plain,
( sk_c9 = multiply(sk_c3,identity)
| sk_c7 = multiply(sk_c6,identity)
| ~ spl0_15
| ~ spl0_19 ),
inference(forward_demodulation,[],[f1407,f412]) ).
fof(f1407,plain,
( sk_c8 = multiply(sk_c3,identity)
| sk_c7 = multiply(sk_c6,identity)
| ~ spl0_15
| ~ spl0_19 ),
inference(forward_demodulation,[],[f1406,f360]) ).
fof(f1406,plain,
( sk_c7 = multiply(sk_c6,identity)
| sk_c8 = multiply(sk_c3,sk_c9)
| ~ spl0_15
| ~ spl0_19 ),
inference(forward_demodulation,[],[f1405,f360]) ).
fof(f1405,plain,
( sk_c7 = multiply(sk_c6,sk_c9)
| sk_c8 = multiply(sk_c3,sk_c9)
| ~ spl0_19 ),
inference(forward_demodulation,[],[f44,f412]) ).
fof(f1404,plain,
( identity = multiply(sk_c3,identity)
| identity = sk_c7
| ~ spl0_15
| ~ spl0_19 ),
inference(forward_demodulation,[],[f1403,f360]) ).
fof(f1403,plain,
( sk_c9 = multiply(sk_c3,identity)
| identity = sk_c7
| ~ spl0_15
| ~ spl0_19 ),
inference(forward_demodulation,[],[f1402,f412]) ).
fof(f1402,plain,
( sk_c8 = multiply(sk_c3,identity)
| identity = sk_c7
| ~ spl0_15
| ~ spl0_19 ),
inference(forward_demodulation,[],[f1401,f360]) ).
fof(f1401,plain,
( identity = sk_c7
| sk_c8 = multiply(sk_c3,sk_c9)
| ~ spl0_15
| ~ spl0_19 ),
inference(forward_demodulation,[],[f1400,f1]) ).
fof(f1400,plain,
( identity = multiply(identity,sk_c7)
| sk_c8 = multiply(sk_c3,sk_c9)
| ~ spl0_15
| ~ spl0_19 ),
inference(forward_demodulation,[],[f1399,f360]) ).
fof(f1399,plain,
( sk_c9 = multiply(sk_c9,sk_c7)
| sk_c8 = multiply(sk_c3,sk_c9)
| ~ spl0_19 ),
inference(forward_demodulation,[],[f43,f412]) ).
fof(f1398,plain,
( identity = multiply(sk_c5,identity)
| spl0_9
| ~ spl0_15
| ~ spl0_19 ),
inference(global_subsumption,[],[f1,f2,f12,f3,f47,f21,f16,f15,f13,f7,f35,f17,f14,f28,f198,f199,f201,f204,f206,f207,f209,f212,f213,f214,f216,f220,f229,f222,f231,f224,f234,f225,f236,f221,f276,f279,f284,f287,f26,f31,f32,f34,f36,f37,f40,f19,f5,f33,f38,f4,f190,f217,f30,f29,f27,f42,f45,f76,f807,f809,f820,f1011,f1004,f25,f985,f11,f1042,f20,f22,f23,f24,f44,f43,f41,f18,f39,f6,f8,f9,f10,f806,f412,f360,f1362,f1379,f1381,f1384,f1386,f1389,f1397]) ).
fof(f1397,plain,
( identity = multiply(sk_c3,identity)
| identity = multiply(sk_c5,identity)
| ~ spl0_15
| ~ spl0_19 ),
inference(forward_demodulation,[],[f1396,f360]) ).
fof(f1396,plain,
( sk_c9 = multiply(sk_c3,identity)
| identity = multiply(sk_c5,identity)
| ~ spl0_15
| ~ spl0_19 ),
inference(forward_demodulation,[],[f1395,f412]) ).
fof(f1395,plain,
( sk_c8 = multiply(sk_c3,identity)
| identity = multiply(sk_c5,identity)
| ~ spl0_15
| ~ spl0_19 ),
inference(forward_demodulation,[],[f1394,f360]) ).
fof(f1394,plain,
( identity = multiply(sk_c5,identity)
| sk_c8 = multiply(sk_c3,sk_c9)
| ~ spl0_15
| ~ spl0_19 ),
inference(forward_demodulation,[],[f1393,f360]) ).
fof(f1393,plain,
( sk_c9 = multiply(sk_c5,sk_c9)
| sk_c8 = multiply(sk_c3,sk_c9)
| ~ spl0_19 ),
inference(forward_demodulation,[],[f41,f412]) ).
fof(f1389,plain,
( identity = inverse(sk_c6)
| spl0_9
| ~ spl0_15
| ~ spl0_19 ),
inference(forward_demodulation,[],[f1388,f360]) ).
fof(f1388,plain,
( sk_c9 = inverse(sk_c6)
| spl0_9
| ~ spl0_15
| ~ spl0_19 ),
inference(forward_demodulation,[],[f1387,f412]) ).
fof(f1387,plain,
( sk_c8 = inverse(sk_c6)
| spl0_9
| ~ spl0_15 ),
inference(subsumption_resolution,[],[f1350,f1362]) ).
fof(f1350,plain,
( identity = inverse(sk_c2)
| sk_c8 = inverse(sk_c6)
| ~ spl0_15 ),
inference(forward_demodulation,[],[f31,f360]) ).
fof(f1386,plain,
( sk_c7 = multiply(sk_c6,identity)
| spl0_9
| ~ spl0_15
| ~ spl0_19 ),
inference(forward_demodulation,[],[f1385,f360]) ).
fof(f1385,plain,
( sk_c7 = multiply(sk_c6,sk_c9)
| spl0_9
| ~ spl0_15
| ~ spl0_19 ),
inference(subsumption_resolution,[],[f1353,f1362]) ).
fof(f1353,plain,
( sk_c7 = multiply(sk_c6,sk_c9)
| identity = inverse(sk_c2)
| ~ spl0_15
| ~ spl0_19 ),
inference(forward_demodulation,[],[f1352,f412]) ).
fof(f1352,plain,
( identity = inverse(sk_c2)
| sk_c7 = multiply(sk_c6,sk_c8)
| ~ spl0_15 ),
inference(forward_demodulation,[],[f30,f360]) ).
fof(f1362,plain,
( identity != inverse(sk_c2)
| spl0_9
| ~ spl0_15 ),
inference(forward_demodulation,[],[f190,f360]) ).
fof(f360,plain,
( identity = sk_c9
| ~ spl0_15 ),
inference(avatar_component_clause,[],[f359]) ).
fof(f359,plain,
( spl0_15
<=> identity = sk_c9 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_15])]) ).
fof(f412,plain,
( sk_c9 = sk_c8
| ~ spl0_19 ),
inference(avatar_component_clause,[],[f411]) ).
fof(f411,plain,
( spl0_19
<=> sk_c9 = sk_c8 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_19])]) ).
fof(f806,plain,
! [X0] : multiply(inverse(identity),X0) = X0,
inference(superposition,[],[f76,f1]) ).
fof(f10,axiom,
( sk_c8 = inverse(sk_c6)
| multiply(sk_c1,sk_c10) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_7) ).
fof(f9,axiom,
( sk_c7 = multiply(sk_c6,sk_c8)
| multiply(sk_c1,sk_c10) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_6) ).
fof(f8,axiom,
( sk_c9 = multiply(sk_c8,sk_c7)
| multiply(sk_c1,sk_c10) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_5) ).
fof(f6,axiom,
( sk_c9 = multiply(sk_c5,sk_c8)
| multiply(sk_c1,sk_c10) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_3) ).
fof(f39,axiom,
( sk_c9 = multiply(sk_c4,sk_c10)
| sk_c8 = multiply(sk_c3,sk_c9) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_36) ).
fof(f18,axiom,
( sk_c9 = multiply(sk_c4,sk_c10)
| sk_c8 = multiply(sk_c2,sk_c9) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_15) ).
fof(f41,axiom,
( sk_c9 = multiply(sk_c5,sk_c8)
| sk_c8 = multiply(sk_c3,sk_c9) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_38) ).
fof(f43,axiom,
( sk_c9 = multiply(sk_c8,sk_c7)
| sk_c8 = multiply(sk_c3,sk_c9) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_40) ).
fof(f44,axiom,
( sk_c7 = multiply(sk_c6,sk_c8)
| sk_c8 = multiply(sk_c3,sk_c9) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_41) ).
fof(f24,axiom,
( sk_c8 = inverse(sk_c6)
| sk_c8 = multiply(sk_c2,sk_c9) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_21) ).
fof(f23,axiom,
( sk_c7 = multiply(sk_c6,sk_c8)
| sk_c8 = multiply(sk_c2,sk_c9) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_20) ).
fof(f22,axiom,
( sk_c9 = multiply(sk_c8,sk_c7)
| sk_c8 = multiply(sk_c2,sk_c9) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_19) ).
fof(f20,axiom,
( sk_c9 = multiply(sk_c5,sk_c8)
| sk_c8 = multiply(sk_c2,sk_c9) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_17) ).
fof(f102,plain,
( ! [X9] :
( sk_c8 != inverse(X9)
| sk_c9 != multiply(sk_c8,multiply(X9,sk_c8)) )
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f101]) ).
fof(f101,plain,
( spl0_5
<=> ! [X9] :
( sk_c8 != inverse(X9)
| sk_c9 != multiply(sk_c8,multiply(X9,sk_c8)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).
fof(f1074,plain,
( ! [X0,X1] :
( sk_c9 != multiply(sk_c9,multiply(X0,multiply(X1,sk_c9)))
| sk_c9 != inverse(multiply(X0,X1)) )
| ~ spl0_5
| ~ spl0_19 ),
inference(superposition,[],[f954,f3]) ).
fof(f954,plain,
( ! [X9] :
( sk_c9 != multiply(sk_c9,multiply(X9,sk_c9))
| sk_c9 != inverse(X9) )
| ~ spl0_5
| ~ spl0_19 ),
inference(forward_demodulation,[],[f895,f412]) ).
fof(f1042,plain,
( sk_c9 = multiply(sk_c2,sk_c9)
| sk_c10 = inverse(sk_c4)
| ~ spl0_19 ),
inference(forward_demodulation,[],[f19,f412]) ).
fof(f11,axiom,
( sk_c10 = inverse(sk_c1)
| sk_c9 = multiply(sk_c4,sk_c10) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_8) ).
fof(f985,plain,
( sk_c9 = multiply(sk_c2,sk_c9)
| sk_c9 = multiply(sk_c4,sk_c10)
| ~ spl0_19 ),
inference(forward_demodulation,[],[f18,f412]) ).
fof(f25,axiom,
( sk_c9 = inverse(sk_c2)
| sk_c9 = multiply(sk_c4,sk_c10) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_22) ).
fof(f1004,plain,
( sk_c9 = multiply(sk_c9,sk_c7)
| sk_c9 = inverse(sk_c2)
| ~ spl0_19 ),
inference(forward_demodulation,[],[f29,f412]) ).
fof(f1011,plain,
( sk_c9 = multiply(sk_c9,sk_c7)
| multiply(sk_c1,sk_c10) = sk_c9
| ~ spl0_19 ),
inference(forward_demodulation,[],[f8,f412]) ).
fof(f934,plain,
( ! [X0,X1] :
( identity != multiply(identity,multiply(X0,multiply(X1,identity)))
| identity != inverse(multiply(X0,X1)) )
| ~ spl0_5
| ~ spl0_15
| ~ spl0_19 ),
inference(superposition,[],[f898,f3]) ).
fof(f820,plain,
! [X0,X1] : multiply(X0,X1) = multiply(inverse(inverse(X0)),X1),
inference(superposition,[],[f76,f76]) ).
fof(f809,plain,
! [X2,X0,X1] : multiply(inverse(multiply(X0,X1)),multiply(X0,multiply(X1,X2))) = X2,
inference(superposition,[],[f76,f3]) ).
fof(f807,plain,
! [X0] : multiply(inverse(inverse(X0)),identity) = X0,
inference(superposition,[],[f76,f2]) ).
fof(f76,plain,
! [X0,X1] : multiply(inverse(X0),multiply(X0,X1)) = X1,
inference(forward_demodulation,[],[f67,f1]) ).
fof(f67,plain,
! [X0,X1] : multiply(inverse(X0),multiply(X0,X1)) = multiply(identity,X1),
inference(superposition,[],[f3,f2]) ).
fof(f45,axiom,
( sk_c8 = inverse(sk_c6)
| sk_c8 = multiply(sk_c3,sk_c9) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_42) ).
fof(f42,axiom,
( sk_c8 = inverse(sk_c5)
| sk_c8 = multiply(sk_c3,sk_c9) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_39) ).
fof(f27,axiom,
( sk_c9 = inverse(sk_c2)
| sk_c9 = multiply(sk_c5,sk_c8) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_24) ).
fof(f29,axiom,
( sk_c9 = inverse(sk_c2)
| sk_c9 = multiply(sk_c8,sk_c7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_26) ).
fof(f30,axiom,
( sk_c9 = inverse(sk_c2)
| sk_c7 = multiply(sk_c6,sk_c8) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_27) ).
fof(f217,plain,
( sk_c9 = sk_c8
| spl0_9 ),
inference(forward_demodulation,[],[f215,f212]) ).
fof(f215,plain,
( sk_c8 = multiply(sk_c8,sk_c7)
| spl0_9 ),
inference(superposition,[],[f201,f214]) ).
fof(f190,plain,
( sk_c9 != inverse(sk_c2)
| spl0_9 ),
inference(avatar_component_clause,[],[f189]) ).
fof(f189,plain,
( spl0_9
<=> sk_c9 = inverse(sk_c2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).
fof(f4,axiom,
( sk_c9 = multiply(sk_c4,sk_c10)
| multiply(sk_c1,sk_c10) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_1) ).
fof(f38,axiom,
( sk_c8 = inverse(sk_c6)
| sk_c8 = inverse(sk_c3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_35) ).
fof(f33,axiom,
( sk_c10 = inverse(sk_c4)
| sk_c8 = inverse(sk_c3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_30) ).
fof(f5,axiom,
( sk_c10 = inverse(sk_c4)
| multiply(sk_c1,sk_c10) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_2) ).
fof(f19,axiom,
( sk_c10 = inverse(sk_c4)
| sk_c8 = multiply(sk_c2,sk_c9) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_16) ).
fof(f40,axiom,
( sk_c10 = inverse(sk_c4)
| sk_c8 = multiply(sk_c3,sk_c9) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_37) ).
fof(f37,axiom,
( sk_c8 = inverse(sk_c3)
| sk_c7 = multiply(sk_c6,sk_c8) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_34) ).
fof(f36,axiom,
( sk_c8 = inverse(sk_c3)
| sk_c9 = multiply(sk_c8,sk_c7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_33) ).
fof(f34,axiom,
( sk_c8 = inverse(sk_c3)
| sk_c9 = multiply(sk_c5,sk_c8) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_31) ).
fof(f32,axiom,
( sk_c8 = inverse(sk_c3)
| sk_c9 = multiply(sk_c4,sk_c10) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_29) ).
fof(f31,axiom,
( sk_c9 = inverse(sk_c2)
| sk_c8 = inverse(sk_c6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_28) ).
fof(f26,axiom,
( sk_c10 = inverse(sk_c4)
| sk_c9 = inverse(sk_c2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_23) ).
fof(f287,plain,
( sk_c10 = inverse(sk_c4)
| spl0_9 ),
inference(subsumption_resolution,[],[f26,f190]) ).
fof(f284,plain,
( sk_c9 = inverse(sk_c3)
| sk_c10 = inverse(sk_c4)
| spl0_9 ),
inference(forward_demodulation,[],[f33,f217]) ).
fof(f279,plain,
( sk_c9 = multiply(sk_c2,sk_c9)
| sk_c10 = inverse(sk_c4)
| spl0_9 ),
inference(forward_demodulation,[],[f19,f217]) ).
fof(f276,plain,
( sk_c9 = multiply(sk_c3,sk_c9)
| sk_c10 = inverse(sk_c4)
| spl0_9 ),
inference(forward_demodulation,[],[f40,f217]) ).
fof(f221,plain,
( ! [X0] : multiply(sk_c9,multiply(sk_c6,X0)) = X0
| spl0_9 ),
inference(superposition,[],[f201,f217]) ).
fof(f236,plain,
( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c6,multiply(sk_c9,X0))
| spl0_9 ),
inference(superposition,[],[f3,f225]) ).
fof(f225,plain,
( sk_c7 = multiply(sk_c6,sk_c9)
| spl0_9 ),
inference(superposition,[],[f214,f217]) ).
fof(f234,plain,
( ! [X0] : multiply(sk_c9,X0) = multiply(sk_c9,multiply(sk_c7,X0))
| spl0_9 ),
inference(superposition,[],[f3,f224]) ).
fof(f224,plain,
( sk_c9 = multiply(sk_c9,sk_c7)
| spl0_9 ),
inference(superposition,[],[f212,f217]) ).
fof(f231,plain,
( ! [X0] : multiply(sk_c9,X0) = multiply(sk_c5,multiply(sk_c9,X0))
| spl0_9 ),
inference(superposition,[],[f3,f222]) ).
fof(f222,plain,
( sk_c9 = multiply(sk_c5,sk_c9)
| spl0_9 ),
inference(superposition,[],[f207,f217]) ).
fof(f229,plain,
( ! [X0] : multiply(sk_c9,multiply(sk_c6,X0)) = X0
| spl0_9 ),
inference(forward_demodulation,[],[f228,f1]) ).
fof(f228,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c9,multiply(sk_c6,X0))
| spl0_9 ),
inference(superposition,[],[f3,f220]) ).
fof(f220,plain,
( identity = multiply(sk_c9,sk_c6)
| spl0_9 ),
inference(superposition,[],[f199,f217]) ).
fof(f216,plain,
( ! [X0] : multiply(sk_c6,multiply(sk_c8,X0)) = multiply(sk_c7,X0)
| spl0_9 ),
inference(superposition,[],[f3,f214]) ).
fof(f214,plain,
( sk_c7 = multiply(sk_c6,sk_c8)
| spl0_9 ),
inference(subsumption_resolution,[],[f30,f190]) ).
fof(f213,plain,
( ! [X0] : multiply(sk_c9,X0) = multiply(sk_c8,multiply(sk_c7,X0))
| spl0_9 ),
inference(superposition,[],[f3,f212]) ).
fof(f212,plain,
( sk_c9 = multiply(sk_c8,sk_c7)
| spl0_9 ),
inference(subsumption_resolution,[],[f29,f190]) ).
fof(f209,plain,
( ! [X0] : multiply(sk_c9,X0) = multiply(sk_c5,multiply(sk_c8,X0))
| spl0_9 ),
inference(superposition,[],[f3,f207]) ).
fof(f207,plain,
( sk_c9 = multiply(sk_c5,sk_c8)
| spl0_9 ),
inference(subsumption_resolution,[],[f27,f190]) ).
fof(f206,plain,
( ! [X0] : multiply(sk_c4,multiply(sk_c10,X0)) = multiply(sk_c9,X0)
| spl0_9 ),
inference(superposition,[],[f3,f204]) ).
fof(f204,plain,
( sk_c9 = multiply(sk_c4,sk_c10)
| spl0_9 ),
inference(subsumption_resolution,[],[f25,f190]) ).
fof(f201,plain,
( ! [X0] : multiply(sk_c8,multiply(sk_c6,X0)) = X0
| spl0_9 ),
inference(forward_demodulation,[],[f200,f1]) ).
fof(f200,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c8,multiply(sk_c6,X0))
| spl0_9 ),
inference(superposition,[],[f3,f199]) ).
fof(f199,plain,
( identity = multiply(sk_c8,sk_c6)
| spl0_9 ),
inference(superposition,[],[f2,f198]) ).
fof(f198,plain,
( sk_c8 = inverse(sk_c6)
| spl0_9 ),
inference(subsumption_resolution,[],[f31,f190]) ).
fof(f28,axiom,
( sk_c9 = inverse(sk_c2)
| sk_c8 = inverse(sk_c5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_25) ).
fof(f14,axiom,
( sk_c10 = inverse(sk_c1)
| sk_c8 = inverse(sk_c5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_11) ).
fof(f17,axiom,
( sk_c10 = inverse(sk_c1)
| sk_c8 = inverse(sk_c6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_14) ).
fof(f35,axiom,
( sk_c8 = inverse(sk_c5)
| sk_c8 = inverse(sk_c3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_32) ).
fof(f7,axiom,
( sk_c8 = inverse(sk_c5)
| multiply(sk_c1,sk_c10) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_4) ).
fof(f13,axiom,
( sk_c10 = inverse(sk_c1)
| sk_c9 = multiply(sk_c5,sk_c8) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_10) ).
fof(f15,axiom,
( sk_c10 = inverse(sk_c1)
| sk_c9 = multiply(sk_c8,sk_c7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_12) ).
fof(f16,axiom,
( sk_c10 = inverse(sk_c1)
| sk_c7 = multiply(sk_c6,sk_c8) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_13) ).
fof(f21,axiom,
( sk_c8 = inverse(sk_c5)
| sk_c8 = multiply(sk_c2,sk_c9) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_18) ).
fof(f47,plain,
! [X3,X6,X9,X7,X4,X5] :
( sk_c10 != inverse(X6)
| sk_c10 != inverse(X3)
| sk_c9 != inverse(X4)
| sk_c8 != inverse(X9)
| sk_c8 != inverse(X5)
| sk_c8 != inverse(X7)
| sk_c9 != multiply(X3,sk_c10)
| sk_c9 != multiply(X6,sk_c10)
| sk_c9 != multiply(X7,sk_c8)
| sk_c9 != multiply(sk_c8,multiply(X9,sk_c8))
| sk_c8 != multiply(X4,sk_c9)
| sk_c8 != multiply(X5,sk_c9) ),
inference(equality_resolution,[],[f46]) ).
fof(f46,axiom,
! [X3,X8,X6,X9,X7,X4,X5] :
( sk_c10 != inverse(X6)
| sk_c10 != inverse(X3)
| sk_c9 != inverse(X4)
| sk_c8 != inverse(X9)
| sk_c8 != inverse(X5)
| sk_c8 != inverse(X7)
| sk_c9 != multiply(X3,sk_c10)
| sk_c9 != multiply(X6,sk_c10)
| sk_c9 != multiply(X7,sk_c8)
| sk_c9 != multiply(sk_c8,X8)
| sk_c8 != multiply(X4,sk_c9)
| sk_c8 != multiply(X5,sk_c9)
| multiply(X9,sk_c8) != X8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_43) ).
fof(f3,axiom,
! [X2,X0,X1] : multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',associativity) ).
fof(f12,axiom,
( sk_c10 = inverse(sk_c4)
| sk_c10 = inverse(sk_c1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_9) ).
fof(f2,axiom,
! [X0] : identity = multiply(inverse(X0),X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',left_inverse) ).
fof(f1,axiom,
! [X0] : multiply(identity,X0) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',left_identity) ).
fof(f1532,plain,
( ~ spl0_5
| spl0_9
| ~ spl0_15
| ~ spl0_19 ),
inference(avatar_contradiction_clause,[],[f1531]) ).
fof(f1531,plain,
( $false
| ~ spl0_5
| spl0_9
| ~ spl0_15
| ~ spl0_19 ),
inference(global_subsumption,[],[f1,f2,f12,f3,f47,f21,f16,f15,f13,f7,f35,f17,f14,f28,f198,f199,f201,f204,f206,f207,f209,f212,f213,f214,f216,f220,f229,f222,f231,f224,f234,f225,f236,f221,f276,f279,f284,f287,f26,f31,f32,f34,f36,f37,f40,f19,f5,f33,f38,f4,f190,f217,f30,f29,f27,f42,f45,f76,f807,f809,f820,f934,f1011,f1004,f25,f985,f11,f1042,f954,f1074,f102,f20,f22,f23,f24,f44,f43,f41,f18,f39,f6,f8,f9,f10,f806,f412,f360,f1362,f1386,f1389,f1397,f1398,f1404,f1409,f1410,f1415,f1416,f1422,f1427,f1428,f1430,f1433,f1436,f1439,f1379,f1452,f1381,f1462,f1384,f1464,f1467,f1468,f1463,f1471,f1472,f1470,f1476,f1453,f1481,f1484,f1485,f1480,f1488,f942,f935,f1526,f898]) ).
fof(f1530,plain,
( ~ spl0_1
| ~ spl0_5
| spl0_9
| ~ spl0_15
| ~ spl0_16
| ~ spl0_19 ),
inference(avatar_contradiction_clause,[],[f1529]) ).
fof(f1529,plain,
( $false
| ~ spl0_1
| ~ spl0_5
| spl0_9
| ~ spl0_15
| ~ spl0_16
| ~ spl0_19 ),
inference(global_subsumption,[],[f929,f1,f2,f12,f3,f47,f21,f16,f15,f13,f7,f35,f17,f14,f28,f198,f199,f201,f204,f206,f207,f209,f212,f213,f214,f216,f220,f229,f222,f231,f224,f234,f225,f236,f221,f276,f279,f284,f287,f26,f31,f32,f34,f36,f37,f40,f19,f5,f33,f38,f4,f190,f217,f30,f29,f27,f42,f45,f76,f807,f809,f820,f898,f934,f1011,f1004,f25,f985,f11,f1042,f954,f1074,f102,f20,f22,f23,f24,f44,f43,f41,f18,f39,f6,f8,f9,f10,f806,f412,f360,f1362,f1386,f1389,f1397,f1398,f1404,f1409,f1410,f1415,f1416,f1422,f1427,f1428,f1430,f1433,f1436,f1439,f1379,f1452,f1381,f1462,f1384,f1464,f1467,f1468,f1463,f1471,f1472,f1470,f1476,f1453,f1481,f1484,f1485,f1480,f1488,f942,f935,f1526]) ).
fof(f929,plain,
( identity != multiply(identity,sk_c10)
| identity != inverse(sk_c10)
| ~ spl0_1
| ~ spl0_5
| ~ spl0_15
| ~ spl0_16
| ~ spl0_19 ),
inference(superposition,[],[f898,f866]) ).
fof(f866,plain,
( sk_c10 = multiply(sk_c10,identity)
| ~ spl0_1
| ~ spl0_15
| ~ spl0_16 ),
inference(superposition,[],[f385,f360]) ).
fof(f385,plain,
( sk_c10 = multiply(sk_c10,sk_c9)
| ~ spl0_1
| ~ spl0_16 ),
inference(superposition,[],[f181,f378]) ).
fof(f378,plain,
( multiply(sk_c1,sk_c10) = sk_c9
| ~ spl0_16 ),
inference(avatar_component_clause,[],[f376]) ).
fof(f376,plain,
( spl0_16
<=> multiply(sk_c1,sk_c10) = sk_c9 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_16])]) ).
fof(f181,plain,
( ! [X0] : multiply(sk_c10,multiply(sk_c1,X0)) = X0
| ~ spl0_1 ),
inference(forward_demodulation,[],[f180,f1]) ).
fof(f180,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c10,multiply(sk_c1,X0))
| ~ spl0_1 ),
inference(superposition,[],[f3,f179]) ).
fof(f179,plain,
( identity = multiply(sk_c10,sk_c1)
| ~ spl0_1 ),
inference(superposition,[],[f2,f51]) ).
fof(f51,plain,
( sk_c10 = inverse(sk_c1)
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f49]) ).
fof(f49,plain,
( spl0_1
<=> sk_c10 = inverse(sk_c1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
fof(f1528,plain,
( ~ spl0_5
| spl0_9
| ~ spl0_15
| ~ spl0_19 ),
inference(avatar_contradiction_clause,[],[f1527]) ).
fof(f1527,plain,
( $false
| ~ spl0_5
| spl0_9
| ~ spl0_15
| ~ spl0_19 ),
inference(global_subsumption,[],[f1,f2,f12,f3,f47,f21,f16,f15,f13,f7,f35,f17,f14,f28,f198,f199,f201,f204,f206,f207,f209,f212,f213,f214,f216,f220,f229,f222,f231,f224,f234,f225,f236,f221,f276,f279,f284,f287,f26,f31,f32,f34,f36,f37,f40,f19,f5,f33,f38,f4,f190,f217,f30,f29,f27,f42,f45,f76,f807,f809,f820,f898,f934,f1011,f1004,f25,f985,f11,f1042,f954,f1074,f102,f20,f22,f23,f24,f44,f43,f41,f18,f39,f6,f8,f9,f10,f806,f412,f360,f1362,f1386,f1389,f1397,f1398,f1404,f1409,f1410,f1415,f1416,f1422,f1427,f1428,f1430,f1433,f1436,f1439,f1379,f1452,f1381,f1462,f1384,f1464,f1467,f1468,f1463,f1471,f1472,f1470,f1476,f1453,f1481,f1484,f1485,f1480,f1488,f942,f935,f1526]) ).
fof(f1521,plain,
( ~ spl0_5
| spl0_9
| ~ spl0_15
| ~ spl0_19 ),
inference(avatar_contradiction_clause,[],[f1520]) ).
fof(f1520,plain,
( $false
| ~ spl0_5
| spl0_9
| ~ spl0_15
| ~ spl0_19 ),
inference(global_subsumption,[],[f1,f2,f12,f3,f47,f21,f16,f15,f13,f7,f35,f17,f14,f28,f198,f199,f201,f204,f206,f207,f209,f212,f213,f214,f216,f220,f229,f222,f231,f224,f234,f225,f236,f221,f276,f279,f284,f287,f26,f31,f32,f34,f36,f37,f40,f19,f5,f33,f38,f4,f190,f217,f30,f29,f27,f42,f45,f76,f807,f809,f820,f898,f934,f1011,f1004,f25,f985,f11,f1042,f954,f1074,f102,f20,f22,f23,f24,f44,f43,f41,f18,f39,f6,f8,f9,f10,f806,f412,f360,f1362,f1386,f1389,f1397,f1398,f1404,f1409,f1410,f1415,f1416,f1422,f1427,f1428,f1430,f1433,f1436,f1439,f1379,f1452,f1381,f1462,f1384,f1464,f1467,f1468,f1463,f1471,f1472,f1470,f1476,f1453,f1481,f1484,f1485,f1480,f1488,f942,f935]) ).
fof(f1519,plain,
( ~ spl0_1
| ~ spl0_5
| spl0_9
| ~ spl0_15
| ~ spl0_19 ),
inference(avatar_contradiction_clause,[],[f1518]) ).
fof(f1518,plain,
( $false
| ~ spl0_1
| ~ spl0_5
| spl0_9
| ~ spl0_15
| ~ spl0_19 ),
inference(global_subsumption,[],[f936,f1,f2,f12,f3,f47,f21,f16,f15,f13,f7,f35,f17,f14,f28,f198,f199,f201,f204,f206,f207,f209,f212,f213,f214,f216,f220,f229,f222,f231,f224,f234,f225,f236,f221,f276,f279,f284,f287,f26,f31,f32,f34,f36,f37,f40,f19,f5,f33,f38,f4,f190,f217,f30,f29,f27,f42,f45,f76,f807,f809,f820,f898,f934,f935,f1011,f1004,f25,f985,f11,f1042,f954,f1074,f102,f20,f22,f23,f24,f44,f43,f41,f18,f39,f6,f8,f9,f10,f806,f412,f360,f1362,f1386,f1389,f1397,f1398,f1404,f1409,f1410,f1415,f1416,f1422,f1427,f1428,f1430,f1433,f1436,f1439,f1379,f1452,f1381,f1462,f1384,f1464,f1467,f1468,f1463,f1471,f1472,f1470,f1476,f1453,f1481,f1484,f1485,f1480,f1488,f942]) ).
fof(f936,plain,
( identity != sk_c1
| identity != inverse(inverse(sk_c10))
| ~ spl0_1
| ~ spl0_5
| ~ spl0_15
| ~ spl0_19 ),
inference(forward_demodulation,[],[f927,f1]) ).
fof(f927,plain,
( identity != multiply(identity,sk_c1)
| identity != inverse(inverse(sk_c10))
| ~ spl0_1
| ~ spl0_5
| ~ spl0_15
| ~ spl0_19 ),
inference(superposition,[],[f898,f821]) ).
fof(f821,plain,
( sk_c1 = multiply(inverse(sk_c10),identity)
| ~ spl0_1 ),
inference(superposition,[],[f76,f179]) ).
fof(f1517,plain,
( ~ spl0_5
| spl0_9
| ~ spl0_15
| ~ spl0_19 ),
inference(avatar_contradiction_clause,[],[f1516]) ).
fof(f1516,plain,
( $false
| ~ spl0_5
| spl0_9
| ~ spl0_15
| ~ spl0_19 ),
inference(global_subsumption,[],[f1,f2,f12,f3,f47,f21,f16,f15,f13,f7,f35,f17,f14,f28,f198,f199,f201,f204,f206,f207,f209,f212,f213,f214,f216,f220,f229,f222,f231,f224,f234,f225,f236,f221,f276,f279,f284,f287,f26,f31,f32,f34,f36,f37,f40,f19,f5,f33,f38,f4,f190,f217,f30,f29,f27,f42,f45,f76,f807,f809,f820,f898,f934,f935,f1011,f1004,f25,f985,f11,f1042,f954,f1074,f102,f20,f22,f23,f24,f44,f43,f41,f18,f39,f6,f8,f9,f10,f806,f412,f360,f1362,f1386,f1389,f1397,f1398,f1404,f1409,f1410,f1415,f1416,f1422,f1427,f1428,f1430,f1433,f1436,f1439,f1379,f1452,f1381,f1462,f1384,f1464,f1467,f1468,f1463,f1471,f1472,f1470,f1476,f1453,f1481,f1484,f1485,f1480,f1488,f942]) ).
fof(f1515,plain,
( ~ spl0_1
| ~ spl0_3
| spl0_9
| ~ spl0_15
| ~ spl0_16
| ~ spl0_19 ),
inference(avatar_contradiction_clause,[],[f1514]) ).
fof(f1514,plain,
( $false
| ~ spl0_1
| ~ spl0_3
| spl0_9
| ~ spl0_15
| ~ spl0_16
| ~ spl0_19 ),
inference(global_subsumption,[],[f1,f2,f12,f3,f47,f21,f16,f15,f13,f7,f35,f17,f14,f179,f181,f28,f198,f199,f201,f204,f206,f207,f209,f212,f213,f214,f216,f220,f229,f222,f231,f224,f234,f225,f236,f221,f276,f279,f284,f287,f26,f31,f32,f34,f36,f37,f40,f19,f5,f33,f38,f4,f386,f396,f385,f398,f397,f440,f444,f435,f447,f433,f451,f438,f468,f190,f217,f30,f29,f27,f592,f627,f624,f96,f659,f42,f45,f76,f807,f809,f813,f817,f820,f848,f845,f821,f923,f925,f1011,f1004,f25,f985,f11,f1042,f20,f22,f23,f24,f44,f43,f41,f18,f39,f6,f1221,f8,f1222,f9,f1223,f10,f1224,f806,f412,f378,f1239,f1240,f360,f1362,f1386,f1389,f1397,f1398,f1404,f1409,f1410,f1415,f1416,f1422,f1427,f1428,f1430,f1431,f1433,f1434,f1436,f1437,f1439,f1440,f879,f866,f51,f1450,f1379,f1452,f1381,f1462,f1384,f1464,f1467,f1468,f1463,f1471,f1472,f1470,f1476,f1451,f1477,f1479,f1453,f1481,f1484,f1485,f1480,f1488,f1500,f1504,f1507,f1513]) ).
fof(f1513,plain,
( ! [X7] :
( identity != inverse(X7)
| identity != multiply(X7,identity) )
| ~ spl0_3
| ~ spl0_15
| ~ spl0_19 ),
inference(forward_demodulation,[],[f1512,f360]) ).
fof(f1512,plain,
( ! [X7] :
( sk_c9 != inverse(X7)
| identity != multiply(X7,identity) )
| ~ spl0_3
| ~ spl0_15
| ~ spl0_19 ),
inference(forward_demodulation,[],[f1511,f412]) ).
fof(f1511,plain,
( ! [X7] :
( identity != multiply(X7,identity)
| sk_c8 != inverse(X7) )
| ~ spl0_3
| ~ spl0_15
| ~ spl0_19 ),
inference(forward_demodulation,[],[f1510,f360]) ).
fof(f1510,plain,
( ! [X7] :
( sk_c9 != multiply(X7,sk_c9)
| sk_c8 != inverse(X7) )
| ~ spl0_3
| ~ spl0_19 ),
inference(forward_demodulation,[],[f96,f412]) ).
fof(f1507,plain,
( identity != inverse(identity)
| ~ spl0_1
| ~ spl0_3
| ~ spl0_15
| ~ spl0_16
| ~ spl0_19 ),
inference(forward_demodulation,[],[f627,f360]) ).
fof(f1504,plain,
( ! [X7] :
( identity != inverse(X7)
| identity != multiply(X7,identity) )
| ~ spl0_3
| ~ spl0_15
| ~ spl0_19 ),
inference(forward_demodulation,[],[f1503,f360]) ).
fof(f1503,plain,
( ! [X7] :
( identity != multiply(X7,identity)
| sk_c9 != inverse(X7) )
| ~ spl0_3
| ~ spl0_15
| ~ spl0_19 ),
inference(forward_demodulation,[],[f592,f360]) ).
fof(f1500,plain,
( identity != inverse(identity)
| ~ spl0_1
| ~ spl0_3
| ~ spl0_15
| ~ spl0_16
| ~ spl0_19 ),
inference(forward_demodulation,[],[f1491,f360]) ).
fof(f1491,plain,
( sk_c9 != inverse(sk_c9)
| ~ spl0_1
| ~ spl0_3
| ~ spl0_16
| ~ spl0_19 ),
inference(trivial_inequality_removal,[],[f620]) ).
fof(f620,plain,
( sk_c9 != sk_c9
| sk_c9 != inverse(sk_c9)
| ~ spl0_1
| ~ spl0_3
| ~ spl0_16
| ~ spl0_19 ),
inference(superposition,[],[f592,f440]) ).
fof(f1479,plain,
( ! [X0] : multiply(sk_c10,multiply(sk_c1,X0)) = X0
| ~ spl0_1 ),
inference(forward_demodulation,[],[f1478,f1]) ).
fof(f1478,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c10,multiply(sk_c1,X0))
| ~ spl0_1 ),
inference(superposition,[],[f3,f1451]) ).
fof(f1477,plain,
( sk_c1 = multiply(inverse(sk_c10),identity)
| ~ spl0_1 ),
inference(superposition,[],[f76,f1451]) ).
fof(f1451,plain,
( identity = multiply(sk_c10,sk_c1)
| ~ spl0_1 ),
inference(superposition,[],[f2,f51]) ).
fof(f1450,plain,
( ! [X0] : multiply(sk_c10,multiply(sk_c1,X0)) = X0
| ~ spl0_1 ),
inference(superposition,[],[f76,f51]) ).
fof(f879,plain,
( sk_c1 = multiply(sk_c1,identity)
| ~ spl0_1
| ~ spl0_15
| ~ spl0_16 ),
inference(forward_demodulation,[],[f870,f1]) ).
fof(f870,plain,
( multiply(sk_c1,identity) = multiply(identity,sk_c1)
| ~ spl0_1
| ~ spl0_15
| ~ spl0_16 ),
inference(superposition,[],[f435,f360]) ).
fof(f1440,plain,
( sk_c10 = inverse(sk_c1)
| ~ spl0_1
| ~ spl0_15
| ~ spl0_19 ),
inference(global_subsumption,[],[f1439,f1,f2,f12,f3,f47,f21,f16,f15,f13,f7,f35,f17,f14,f51,f179,f181,f28,f26,f31,f32,f34,f36,f37,f40,f19,f5,f33,f38,f4,f30,f29,f27,f42,f45,f76,f807,f809,f813,f820,f821,f923,f925,f25,f11,f20,f22,f23,f24,f44,f43,f41,f18,f39,f6,f8,f9,f10,f806]) ).
fof(f1437,plain,
( sk_c10 = inverse(sk_c1)
| ~ spl0_1
| ~ spl0_15
| ~ spl0_19 ),
inference(global_subsumption,[],[f1436,f1,f2,f12,f3,f47,f21,f16,f15,f13,f7,f35,f17,f14,f51,f179,f181,f28,f26,f31,f32,f34,f36,f37,f40,f19,f5,f33,f38,f4,f30,f29,f27,f42,f45,f76,f807,f809,f813,f820,f821,f923,f925,f25,f11,f20,f22,f23,f24,f44,f43,f41,f18,f39,f6,f8,f9,f10,f806]) ).
fof(f1434,plain,
( sk_c10 = inverse(sk_c1)
| ~ spl0_1
| ~ spl0_15
| ~ spl0_19 ),
inference(global_subsumption,[],[f1433,f1,f2,f12,f3,f47,f21,f16,f15,f13,f7,f35,f17,f14,f51,f179,f181,f28,f26,f31,f32,f34,f36,f37,f40,f19,f5,f33,f38,f4,f30,f29,f27,f42,f45,f76,f807,f809,f813,f820,f821,f923,f925,f25,f11,f20,f22,f23,f24,f44,f43,f41,f18,f39,f6,f8,f9,f10,f806]) ).
fof(f1431,plain,
( sk_c10 = inverse(sk_c1)
| ~ spl0_1
| ~ spl0_15
| ~ spl0_19 ),
inference(global_subsumption,[],[f1430,f1,f2,f12,f3,f47,f21,f16,f15,f13,f7,f35,f17,f14,f51,f179,f181,f28,f26,f31,f32,f34,f36,f37,f40,f19,f5,f33,f38,f4,f30,f29,f27,f42,f45,f76,f807,f809,f813,f820,f821,f923,f925,f25,f11,f20,f22,f23,f24,f44,f43,f41,f18,f39,f6,f8,f9,f10,f806]) ).
fof(f1240,plain,
( ! [X0] : multiply(sk_c9,X0) = multiply(sk_c1,multiply(sk_c10,X0))
| ~ spl0_16 ),
inference(superposition,[],[f3,f378]) ).
fof(f1239,plain,
( sk_c10 = multiply(inverse(sk_c1),sk_c9)
| ~ spl0_16 ),
inference(superposition,[],[f76,f378]) ).
fof(f1224,plain,
( multiply(sk_c1,sk_c10) = sk_c9
| ~ spl0_16 ),
inference(global_subsumption,[],[f1,f2,f12,f3,f47,f21,f16,f15,f13,f7,f35,f17,f14,f28,f26,f31,f32,f34,f36,f37,f40,f19,f5,f33,f38,f4,f386,f397,f30,f29,f27,f42,f45,f76,f807,f809,f820,f25,f11,f378,f20,f22,f23,f24,f44,f43,f41,f18,f39,f6,f1221,f8,f1222,f9,f1223,f10]) ).
fof(f1223,plain,
( multiply(sk_c1,sk_c10) = sk_c9
| ~ spl0_16 ),
inference(global_subsumption,[],[f1,f2,f12,f3,f47,f21,f16,f15,f13,f7,f35,f17,f14,f28,f26,f31,f32,f34,f36,f37,f40,f19,f5,f33,f38,f4,f386,f397,f30,f29,f27,f42,f45,f76,f807,f809,f820,f25,f11,f10,f378,f20,f22,f23,f24,f44,f43,f41,f18,f39,f6,f1221,f8,f1222,f9]) ).
fof(f1222,plain,
( multiply(sk_c1,sk_c10) = sk_c9
| ~ spl0_16 ),
inference(global_subsumption,[],[f1,f2,f12,f3,f47,f21,f16,f15,f13,f7,f35,f17,f14,f28,f26,f31,f32,f34,f36,f37,f40,f19,f5,f33,f38,f4,f386,f397,f30,f29,f27,f42,f45,f76,f807,f809,f820,f25,f11,f10,f9,f378,f20,f22,f23,f24,f44,f43,f41,f18,f39,f6,f1221,f8]) ).
fof(f1221,plain,
( multiply(sk_c1,sk_c10) = sk_c9
| ~ spl0_16 ),
inference(global_subsumption,[],[f1,f2,f12,f3,f47,f21,f16,f15,f13,f7,f35,f17,f14,f28,f26,f31,f32,f34,f36,f37,f40,f19,f5,f33,f38,f4,f386,f397,f30,f29,f27,f42,f45,f76,f807,f809,f820,f25,f11,f10,f9,f8,f378,f20,f22,f23,f24,f44,f43,f41,f18,f39,f6]) ).
fof(f925,plain,
( ! [X0] : multiply(sk_c1,X0) = multiply(inverse(sk_c10),X0)
| ~ spl0_1 ),
inference(forward_demodulation,[],[f924,f1]) ).
fof(f924,plain,
( ! [X0] : multiply(sk_c1,X0) = multiply(inverse(sk_c10),multiply(identity,X0))
| ~ spl0_1 ),
inference(superposition,[],[f3,f821]) ).
fof(f923,plain,
( identity = multiply(inverse(inverse(sk_c10)),sk_c1)
| ~ spl0_1 ),
inference(superposition,[],[f76,f821]) ).
fof(f845,plain,
( identity = sk_c9
| ~ spl0_1
| ~ spl0_16 ),
inference(forward_demodulation,[],[f824,f2]) ).
fof(f824,plain,
( sk_c9 = multiply(inverse(sk_c10),sk_c10)
| ~ spl0_1
| ~ spl0_16 ),
inference(superposition,[],[f76,f385]) ).
fof(f848,plain,
( identity = sk_c9
| ~ spl0_1
| ~ spl0_16 ),
inference(forward_demodulation,[],[f825,f2]) ).
fof(f825,plain,
( sk_c9 = multiply(inverse(sk_c9),sk_c9)
| ~ spl0_1
| ~ spl0_16 ),
inference(superposition,[],[f76,f440]) ).
fof(f817,plain,
( ! [X0] : multiply(sk_c1,X0) = multiply(inverse(sk_c9),multiply(sk_c1,X0))
| ~ spl0_1
| ~ spl0_16 ),
inference(superposition,[],[f76,f433]) ).
fof(f813,plain,
( ! [X0] : multiply(sk_c1,X0) = multiply(inverse(sk_c10),X0)
| ~ spl0_1 ),
inference(superposition,[],[f76,f181]) ).
fof(f659,plain,
( ! [X0,X1] :
( sk_c9 != multiply(X0,multiply(X1,sk_c8))
| sk_c8 != inverse(multiply(X0,X1)) )
| ~ spl0_3 ),
inference(superposition,[],[f96,f3]) ).
fof(f96,plain,
( ! [X7] :
( sk_c9 != multiply(X7,sk_c8)
| sk_c8 != inverse(X7) )
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f95]) ).
fof(f95,plain,
( spl0_3
<=> ! [X7] :
( sk_c8 != inverse(X7)
| sk_c9 != multiply(X7,sk_c8) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).
fof(f624,plain,
( ! [X0,X1] :
( sk_c9 != multiply(X0,multiply(X1,sk_c9))
| sk_c9 != inverse(multiply(X0,X1)) )
| ~ spl0_3
| ~ spl0_19 ),
inference(superposition,[],[f592,f3]) ).
fof(f627,plain,
( sk_c9 != inverse(sk_c9)
| ~ spl0_1
| ~ spl0_3
| ~ spl0_16
| ~ spl0_19 ),
inference(trivial_inequality_removal,[],[f620]) ).
fof(f592,plain,
( ! [X7] :
( sk_c9 != multiply(X7,sk_c9)
| sk_c9 != inverse(X7) )
| ~ spl0_3
| ~ spl0_19 ),
inference(forward_demodulation,[],[f591,f412]) ).
fof(f591,plain,
( ! [X7] :
( sk_c9 != inverse(X7)
| sk_c9 != multiply(X7,sk_c8) )
| ~ spl0_3
| ~ spl0_19 ),
inference(forward_demodulation,[],[f96,f412]) ).
fof(f468,plain,
( ! [X0] : multiply(sk_c9,X0) = multiply(sk_c9,multiply(sk_c9,X0))
| ~ spl0_1
| ~ spl0_16 ),
inference(forward_demodulation,[],[f463,f397]) ).
fof(f463,plain,
( ! [X0] : multiply(sk_c9,multiply(sk_c9,X0)) = multiply(sk_c1,multiply(sk_c10,X0))
| ~ spl0_1
| ~ spl0_16 ),
inference(superposition,[],[f397,f438]) ).
fof(f438,plain,
( ! [X0] : multiply(sk_c10,X0) = multiply(sk_c10,multiply(sk_c9,X0))
| ~ spl0_1
| ~ spl0_16 ),
inference(superposition,[],[f181,f397]) ).
fof(f451,plain,
( ! [X0] : multiply(sk_c9,X0) = multiply(sk_c9,multiply(sk_c9,X0))
| ~ spl0_1
| ~ spl0_16 ),
inference(superposition,[],[f433,f397]) ).
fof(f433,plain,
( ! [X0] : multiply(sk_c1,X0) = multiply(sk_c9,multiply(sk_c1,X0))
| ~ spl0_1
| ~ spl0_16 ),
inference(superposition,[],[f397,f181]) ).
fof(f447,plain,
( ! [X0] : multiply(sk_c1,X0) = multiply(sk_c9,multiply(sk_c1,X0))
| ~ spl0_1
| ~ spl0_16 ),
inference(forward_demodulation,[],[f446,f1]) ).
fof(f446,plain,
( ! [X0] : multiply(sk_c9,multiply(sk_c1,X0)) = multiply(sk_c1,multiply(identity,X0))
| ~ spl0_1
| ~ spl0_16 ),
inference(forward_demodulation,[],[f445,f3]) ).
fof(f445,plain,
( ! [X0] : multiply(sk_c9,multiply(sk_c1,X0)) = multiply(multiply(sk_c1,identity),X0)
| ~ spl0_1
| ~ spl0_16 ),
inference(superposition,[],[f3,f435]) ).
fof(f435,plain,
( multiply(sk_c9,sk_c1) = multiply(sk_c1,identity)
| ~ spl0_1
| ~ spl0_16 ),
inference(superposition,[],[f397,f179]) ).
fof(f444,plain,
( ! [X0] : multiply(sk_c9,X0) = multiply(sk_c9,multiply(sk_c9,X0))
| ~ spl0_1
| ~ spl0_16 ),
inference(superposition,[],[f3,f440]) ).
fof(f440,plain,
( sk_c9 = multiply(sk_c9,sk_c9)
| ~ spl0_1
| ~ spl0_16 ),
inference(forward_demodulation,[],[f436,f378]) ).
fof(f436,plain,
( multiply(sk_c1,sk_c10) = multiply(sk_c9,sk_c9)
| ~ spl0_1
| ~ spl0_16 ),
inference(superposition,[],[f397,f385]) ).
fof(f397,plain,
( ! [X0] : multiply(sk_c9,X0) = multiply(sk_c1,multiply(sk_c10,X0))
| ~ spl0_16 ),
inference(superposition,[],[f3,f378]) ).
fof(f398,plain,
( ! [X0] : multiply(sk_c10,X0) = multiply(sk_c10,multiply(sk_c9,X0))
| ~ spl0_1
| ~ spl0_16 ),
inference(superposition,[],[f3,f385]) ).
fof(f396,plain,
( sk_c10 = multiply(sk_c10,sk_c9)
| ~ spl0_1
| ~ spl0_16 ),
inference(superposition,[],[f181,f378]) ).
fof(f386,plain,
( ! [X0] : multiply(sk_c9,X0) = multiply(sk_c1,multiply(sk_c10,X0))
| ~ spl0_16 ),
inference(superposition,[],[f3,f378]) ).
fof(f1509,plain,
( ~ spl0_1
| ~ spl0_3
| spl0_9
| ~ spl0_15
| ~ spl0_16
| ~ spl0_19 ),
inference(avatar_contradiction_clause,[],[f1508]) ).
fof(f1508,plain,
( $false
| ~ spl0_1
| ~ spl0_3
| spl0_9
| ~ spl0_15
| ~ spl0_16
| ~ spl0_19 ),
inference(global_subsumption,[],[f1,f2,f12,f3,f47,f21,f16,f15,f13,f7,f35,f17,f14,f179,f181,f28,f198,f199,f201,f204,f206,f207,f209,f212,f213,f214,f216,f220,f229,f222,f231,f224,f234,f225,f236,f221,f276,f279,f284,f287,f26,f31,f32,f34,f36,f37,f40,f19,f5,f33,f38,f4,f386,f396,f385,f398,f397,f440,f444,f435,f447,f433,f451,f438,f468,f190,f217,f30,f29,f27,f592,f627,f624,f96,f659,f42,f45,f76,f807,f809,f813,f817,f820,f848,f845,f821,f923,f925,f1011,f1004,f25,f985,f11,f1042,f20,f22,f23,f24,f44,f43,f41,f18,f39,f6,f1221,f8,f1222,f9,f1223,f10,f1224,f806,f412,f378,f1239,f1240,f360,f1362,f1386,f1389,f1397,f1398,f1404,f1409,f1410,f1415,f1416,f1422,f1427,f1428,f1430,f1431,f1433,f1434,f1436,f1437,f1439,f1440,f879,f866,f51,f1450,f1379,f1452,f1381,f1462,f1384,f1464,f1467,f1468,f1463,f1471,f1472,f1470,f1476,f1451,f1477,f1479,f1453,f1481,f1484,f1485,f1480,f1488,f1500,f1504,f1507]) ).
fof(f1506,plain,
( ~ spl0_1
| ~ spl0_3
| spl0_9
| ~ spl0_15
| ~ spl0_16
| ~ spl0_19 ),
inference(avatar_contradiction_clause,[],[f1505]) ).
fof(f1505,plain,
( $false
| ~ spl0_1
| ~ spl0_3
| spl0_9
| ~ spl0_15
| ~ spl0_16
| ~ spl0_19 ),
inference(global_subsumption,[],[f1,f2,f12,f3,f47,f21,f16,f15,f13,f7,f35,f17,f14,f179,f181,f28,f198,f199,f201,f204,f206,f207,f209,f212,f213,f214,f216,f220,f229,f222,f231,f224,f234,f225,f236,f221,f276,f279,f284,f287,f26,f31,f32,f34,f36,f37,f40,f19,f5,f33,f38,f4,f386,f396,f385,f398,f397,f440,f444,f435,f447,f433,f451,f438,f468,f190,f217,f30,f29,f27,f592,f627,f624,f96,f659,f42,f45,f76,f807,f809,f813,f817,f820,f848,f845,f821,f923,f925,f1011,f1004,f25,f985,f11,f1042,f20,f22,f23,f24,f44,f43,f41,f18,f39,f6,f1221,f8,f1222,f9,f1223,f10,f1224,f806,f412,f378,f1239,f1240,f360,f1362,f1386,f1389,f1397,f1398,f1404,f1409,f1410,f1415,f1416,f1422,f1427,f1428,f1430,f1431,f1433,f1434,f1436,f1437,f1439,f1440,f879,f866,f51,f1450,f1379,f1452,f1381,f1462,f1384,f1464,f1467,f1468,f1463,f1471,f1472,f1470,f1476,f1451,f1477,f1479,f1453,f1481,f1484,f1485,f1480,f1488,f1500,f1504]) ).
fof(f1502,plain,
( ~ spl0_1
| ~ spl0_3
| spl0_9
| ~ spl0_15
| ~ spl0_16
| ~ spl0_19 ),
inference(avatar_contradiction_clause,[],[f1501]) ).
fof(f1501,plain,
( $false
| ~ spl0_1
| ~ spl0_3
| spl0_9
| ~ spl0_15
| ~ spl0_16
| ~ spl0_19 ),
inference(global_subsumption,[],[f1,f2,f12,f3,f47,f21,f16,f15,f13,f7,f35,f17,f14,f179,f181,f28,f198,f199,f201,f204,f206,f207,f209,f212,f213,f214,f216,f220,f229,f222,f231,f224,f234,f225,f236,f221,f276,f279,f284,f287,f26,f31,f32,f34,f36,f37,f40,f19,f5,f33,f38,f4,f386,f396,f385,f398,f397,f440,f444,f435,f447,f433,f451,f438,f468,f190,f217,f30,f29,f27,f592,f627,f624,f96,f659,f42,f45,f76,f807,f809,f813,f817,f820,f848,f845,f821,f923,f925,f1011,f1004,f25,f985,f11,f1042,f20,f22,f23,f24,f44,f43,f41,f18,f39,f6,f1221,f8,f1222,f9,f1223,f10,f1224,f806,f412,f378,f1239,f1240,f360,f1362,f1386,f1389,f1397,f1398,f1404,f1409,f1410,f1415,f1416,f1422,f1427,f1428,f1430,f1431,f1433,f1434,f1436,f1437,f1439,f1440,f879,f866,f51,f1450,f1379,f1452,f1381,f1462,f1384,f1464,f1467,f1468,f1463,f1471,f1472,f1470,f1476,f1451,f1477,f1479,f1453,f1481,f1484,f1485,f1480,f1488,f1500]) ).
fof(f1490,plain,
( ~ spl0_1
| ~ spl0_6
| spl0_9
| ~ spl0_15
| ~ spl0_16
| ~ spl0_19 ),
inference(avatar_contradiction_clause,[],[f1489]) ).
fof(f1489,plain,
( $false
| ~ spl0_1
| ~ spl0_6
| spl0_9
| ~ spl0_15
| ~ spl0_16
| ~ spl0_19 ),
inference(subsumption_resolution,[],[f1488,f1442]) ).
fof(f1442,plain,
( identity != inverse(identity)
| ~ spl0_1
| ~ spl0_6
| ~ spl0_15
| ~ spl0_16
| ~ spl0_19 ),
inference(forward_demodulation,[],[f1441,f360]) ).
fof(f1441,plain,
( sk_c9 != inverse(sk_c9)
| ~ spl0_1
| ~ spl0_6
| ~ spl0_16
| ~ spl0_19 ),
inference(subsumption_resolution,[],[f698,f412]) ).
fof(f698,plain,
( sk_c9 != sk_c8
| sk_c9 != inverse(sk_c9)
| ~ spl0_1
| ~ spl0_6
| ~ spl0_16 ),
inference(superposition,[],[f105,f440]) ).
fof(f105,plain,
( ! [X4] :
( sk_c8 != multiply(X4,sk_c9)
| sk_c9 != inverse(X4) )
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f104]) ).
fof(f104,plain,
( spl0_6
<=> ! [X4] :
( sk_c9 != inverse(X4)
| sk_c8 != multiply(X4,sk_c9) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).
fof(f1376,plain,
( spl0_1
| ~ spl0_15
| spl0_18
| ~ spl0_19 ),
inference(avatar_contradiction_clause,[],[f1375]) ).
fof(f1375,plain,
( $false
| spl0_1
| ~ spl0_15
| spl0_18
| ~ spl0_19 ),
inference(subsumption_resolution,[],[f1372,f409]) ).
fof(f409,plain,
( sk_c9 != inverse(identity)
| spl0_18 ),
inference(avatar_component_clause,[],[f407]) ).
fof(f407,plain,
( spl0_18
<=> sk_c9 = inverse(identity) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_18])]) ).
fof(f1372,plain,
( sk_c9 = inverse(identity)
| spl0_1
| ~ spl0_15
| ~ spl0_19 ),
inference(superposition,[],[f1232,f1363]) ).
fof(f1363,plain,
( identity = sk_c6
| spl0_1
| ~ spl0_15
| ~ spl0_19 ),
inference(superposition,[],[f1315,f1]) ).
fof(f1315,plain,
( identity = multiply(identity,sk_c6)
| spl0_1
| ~ spl0_15
| ~ spl0_19 ),
inference(superposition,[],[f1238,f360]) ).
fof(f1238,plain,
( identity = multiply(sk_c9,sk_c6)
| spl0_1
| ~ spl0_19 ),
inference(superposition,[],[f2,f1232]) ).
fof(f1232,plain,
( sk_c9 = inverse(sk_c6)
| spl0_1
| ~ spl0_19 ),
inference(forward_demodulation,[],[f60,f412]) ).
fof(f60,plain,
( sk_c8 = inverse(sk_c6)
| spl0_1 ),
inference(subsumption_resolution,[],[f17,f50]) ).
fof(f50,plain,
( sk_c10 != inverse(sk_c1)
| spl0_1 ),
inference(avatar_component_clause,[],[f49]) ).
fof(f1349,plain,
( ~ spl0_9
| ~ spl0_15
| spl0_18 ),
inference(avatar_contradiction_clause,[],[f1348]) ).
fof(f1348,plain,
( $false
| ~ spl0_9
| ~ spl0_15
| spl0_18 ),
inference(subsumption_resolution,[],[f1346,f409]) ).
fof(f1346,plain,
( sk_c9 = inverse(identity)
| ~ spl0_9
| ~ spl0_15 ),
inference(superposition,[],[f191,f1338]) ).
fof(f1338,plain,
( identity = sk_c2
| ~ spl0_9
| ~ spl0_15 ),
inference(superposition,[],[f1313,f1]) ).
fof(f1313,plain,
( identity = multiply(identity,sk_c2)
| ~ spl0_9
| ~ spl0_15 ),
inference(superposition,[],[f1033,f360]) ).
fof(f1033,plain,
( identity = multiply(sk_c9,sk_c2)
| ~ spl0_9 ),
inference(superposition,[],[f2,f191]) ).
fof(f191,plain,
( sk_c9 = inverse(sk_c2)
| ~ spl0_9 ),
inference(avatar_component_clause,[],[f189]) ).
fof(f1309,plain,
( ~ spl0_6
| ~ spl0_15
| ~ spl0_19
| ~ spl0_22
| ~ spl0_23 ),
inference(avatar_contradiction_clause,[],[f1308]) ).
fof(f1308,plain,
( $false
| ~ spl0_6
| ~ spl0_15
| ~ spl0_19
| ~ spl0_22
| ~ spl0_23 ),
inference(global_subsumption,[],[f360,f1,f2,f12,f3,f47,f21,f16,f15,f13,f7,f35,f17,f14,f28,f26,f31,f32,f34,f36,f37,f40,f19,f5,f33,f38,f4,f30,f29,f27,f650,f42,f703,f45,f76,f807,f809,f820,f1011,f1004,f25,f985,f11,f1042,f426,f1069,f1070,f20,f22,f23,f24,f44,f43,f41,f18,f39,f6,f8,f9,f10,f806,f700,f652,f1211,f630,f105,f412,f1270,f1286,f1291,f885,f882,f430]) ).
fof(f430,plain,
( identity = sk_c8
| ~ spl0_23 ),
inference(avatar_component_clause,[],[f429]) ).
fof(f429,plain,
( spl0_23
<=> identity = sk_c8 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_23])]) ).
fof(f882,plain,
( identity = sk_c9
| ~ spl0_19
| ~ spl0_23 ),
inference(superposition,[],[f430,f412]) ).
fof(f885,plain,
( identity = sk_c9
| ~ spl0_19
| ~ spl0_23 ),
inference(superposition,[],[f412,f430]) ).
fof(f1291,plain,
( identity != sk_c9
| ~ spl0_6
| ~ spl0_19
| ~ spl0_22 ),
inference(duplicate_literal_removal,[],[f1290]) ).
fof(f1290,plain,
( identity != sk_c9
| identity != sk_c9
| ~ spl0_6
| ~ spl0_19
| ~ spl0_22 ),
inference(forward_demodulation,[],[f1289,f426]) ).
fof(f1289,plain,
( identity != sk_c9
| sk_c9 != inverse(inverse(sk_c9))
| ~ spl0_6
| ~ spl0_19 ),
inference(forward_demodulation,[],[f701,f412]) ).
fof(f701,plain,
( identity != sk_c8
| sk_c9 != inverse(inverse(sk_c9))
| ~ spl0_6 ),
inference(superposition,[],[f105,f2]) ).
fof(f1286,plain,
( identity != sk_c9
| ~ spl0_6
| ~ spl0_19
| ~ spl0_22 ),
inference(duplicate_literal_removal,[],[f1285]) ).
fof(f1285,plain,
( identity != sk_c9
| identity != sk_c9
| ~ spl0_6
| ~ spl0_19
| ~ spl0_22 ),
inference(forward_demodulation,[],[f648,f426]) ).
fof(f648,plain,
( identity != sk_c9
| sk_c9 != inverse(inverse(sk_c9))
| ~ spl0_6
| ~ spl0_19 ),
inference(superposition,[],[f630,f2]) ).
fof(f1270,plain,
( ! [X4] :
( sk_c9 != multiply(X4,sk_c9)
| sk_c9 != inverse(X4) )
| ~ spl0_6
| ~ spl0_19 ),
inference(forward_demodulation,[],[f105,f412]) ).
fof(f630,plain,
( ! [X4] :
( sk_c9 != multiply(X4,sk_c9)
| sk_c9 != inverse(X4) )
| ~ spl0_6
| ~ spl0_19 ),
inference(forward_demodulation,[],[f105,f412]) ).
fof(f1211,plain,
( sk_c9 != inverse(identity)
| ~ spl0_6
| ~ spl0_19 ),
inference(trivial_inequality_removal,[],[f647]) ).
fof(f647,plain,
( sk_c9 != sk_c9
| sk_c9 != inverse(identity)
| ~ spl0_6
| ~ spl0_19 ),
inference(superposition,[],[f630,f1]) ).
fof(f652,plain,
( sk_c9 != inverse(identity)
| ~ spl0_6
| ~ spl0_19 ),
inference(trivial_inequality_removal,[],[f647]) ).
fof(f700,plain,
( sk_c9 != sk_c8
| sk_c9 != inverse(identity)
| ~ spl0_6 ),
inference(superposition,[],[f105,f1]) ).
fof(f1070,plain,
( identity = multiply(identity,inverse(sk_c9))
| ~ spl0_22 ),
inference(superposition,[],[f2,f426]) ).
fof(f1069,plain,
( ! [X0] : multiply(identity,multiply(inverse(sk_c9),X0)) = X0
| ~ spl0_22 ),
inference(superposition,[],[f76,f426]) ).
fof(f426,plain,
( identity = inverse(inverse(sk_c9))
| ~ spl0_22 ),
inference(avatar_component_clause,[],[f425]) ).
fof(f425,plain,
( spl0_22
<=> identity = inverse(inverse(sk_c9)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_22])]) ).
fof(f703,plain,
( ! [X0,X1] :
( sk_c8 != multiply(X0,multiply(X1,sk_c9))
| sk_c9 != inverse(multiply(X0,X1)) )
| ~ spl0_6 ),
inference(superposition,[],[f105,f3]) ).
fof(f650,plain,
( ! [X0,X1] :
( sk_c9 != multiply(X0,multiply(X1,sk_c9))
| sk_c9 != inverse(multiply(X0,X1)) )
| ~ spl0_6
| ~ spl0_19 ),
inference(superposition,[],[f630,f3]) ).
fof(f1307,plain,
( ~ spl0_6
| spl0_11
| ~ spl0_15
| ~ spl0_19
| ~ spl0_22
| ~ spl0_23 ),
inference(avatar_contradiction_clause,[],[f1306]) ).
fof(f1306,plain,
( $false
| ~ spl0_6
| spl0_11
| ~ spl0_15
| ~ spl0_19
| ~ spl0_22
| ~ spl0_23 ),
inference(global_subsumption,[],[f865,f1,f2,f12,f3,f47,f21,f16,f15,f13,f7,f35,f17,f14,f28,f26,f31,f32,f34,f36,f37,f40,f19,f5,f33,f38,f4,f30,f29,f27,f650,f42,f703,f45,f76,f807,f809,f820,f1011,f1004,f25,f985,f11,f1042,f426,f1069,f1070,f20,f22,f23,f24,f44,f43,f41,f18,f39,f6,f8,f9,f10,f806,f700,f652,f1211,f630,f105,f412,f1270,f1286,f1291,f885,f882,f430]) ).
fof(f865,plain,
( identity != sk_c10
| spl0_11
| ~ spl0_15 ),
inference(superposition,[],[f334,f360]) ).
fof(f334,plain,
( sk_c10 != sk_c9
| spl0_11 ),
inference(avatar_component_clause,[],[f332]) ).
fof(f332,plain,
( spl0_11
<=> sk_c10 = sk_c9 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).
fof(f1305,plain,
( ~ spl0_2
| ~ spl0_6
| ~ spl0_15
| ~ spl0_16
| ~ spl0_19
| ~ spl0_22
| ~ spl0_23 ),
inference(avatar_contradiction_clause,[],[f1304]) ).
fof(f1304,plain,
( $false
| ~ spl0_2
| ~ spl0_6
| ~ spl0_15
| ~ spl0_16
| ~ spl0_19
| ~ spl0_22
| ~ spl0_23 ),
inference(global_subsumption,[],[f880,f1,f2,f12,f3,f47,f21,f16,f15,f13,f7,f35,f17,f14,f28,f26,f31,f32,f34,f36,f37,f40,f19,f5,f33,f38,f4,f30,f29,f27,f650,f42,f703,f45,f76,f807,f809,f820,f1011,f1004,f25,f985,f11,f1042,f426,f1069,f1070,f20,f22,f23,f24,f44,f43,f41,f18,f39,f6,f8,f9,f10,f806,f700,f652,f1211,f630,f105,f412,f1270,f1286,f1291,f885,f882,f430]) ).
fof(f880,plain,
( sk_c4 = multiply(sk_c1,identity)
| ~ spl0_2
| ~ spl0_15
| ~ spl0_16 ),
inference(forward_demodulation,[],[f871,f1]) ).
fof(f871,plain,
( multiply(sk_c1,identity) = multiply(identity,sk_c4)
| ~ spl0_2
| ~ spl0_15
| ~ spl0_16 ),
inference(superposition,[],[f437,f360]) ).
fof(f437,plain,
( multiply(sk_c1,identity) = multiply(sk_c9,sk_c4)
| ~ spl0_2
| ~ spl0_16 ),
inference(superposition,[],[f397,f322]) ).
fof(f322,plain,
( identity = multiply(sk_c10,sk_c4)
| ~ spl0_2 ),
inference(superposition,[],[f2,f55]) ).
fof(f55,plain,
( sk_c10 = inverse(sk_c4)
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f53]) ).
fof(f53,plain,
( spl0_2
<=> sk_c10 = inverse(sk_c4) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
fof(f1303,plain,
( ~ spl0_6
| ~ spl0_15
| ~ spl0_19
| ~ spl0_22
| ~ spl0_23 ),
inference(avatar_contradiction_clause,[],[f1302]) ).
fof(f1302,plain,
( $false
| ~ spl0_6
| ~ spl0_15
| ~ spl0_19
| ~ spl0_22
| ~ spl0_23 ),
inference(global_subsumption,[],[f902,f1,f2,f12,f3,f47,f21,f16,f15,f13,f7,f35,f17,f14,f28,f26,f31,f32,f34,f36,f37,f40,f19,f5,f33,f38,f4,f30,f29,f27,f650,f42,f703,f45,f76,f807,f809,f820,f1011,f1004,f25,f985,f11,f1042,f426,f1069,f1070,f20,f22,f23,f24,f44,f43,f41,f18,f39,f6,f8,f9,f10,f806,f700,f652,f1211,f630,f105,f412,f1270,f1286,f1291,f885,f882,f430]) ).
fof(f902,plain,
( identity = inverse(inverse(identity))
| ~ spl0_15
| ~ spl0_22 ),
inference(forward_demodulation,[],[f426,f360]) ).
fof(f1301,plain,
( ~ spl0_6
| ~ spl0_19
| ~ spl0_22
| ~ spl0_23 ),
inference(avatar_contradiction_clause,[],[f1300]) ).
fof(f1300,plain,
( $false
| ~ spl0_6
| ~ spl0_19
| ~ spl0_22
| ~ spl0_23 ),
inference(global_subsumption,[],[f1,f2,f12,f3,f47,f21,f16,f15,f13,f7,f35,f17,f14,f28,f26,f31,f32,f34,f36,f37,f40,f19,f5,f33,f38,f4,f30,f29,f27,f650,f42,f703,f45,f76,f807,f809,f820,f1011,f1004,f25,f985,f11,f1042,f426,f1069,f1070,f20,f22,f23,f24,f44,f43,f41,f18,f39,f6,f8,f9,f10,f806,f700,f652,f1211,f630,f105,f412,f1270,f1286,f1291,f885,f882,f430]) ).
fof(f1299,plain,
( ~ spl0_6
| ~ spl0_19
| ~ spl0_22
| ~ spl0_23 ),
inference(avatar_contradiction_clause,[],[f1298]) ).
fof(f1298,plain,
( $false
| ~ spl0_6
| ~ spl0_19
| ~ spl0_22
| ~ spl0_23 ),
inference(global_subsumption,[],[f1,f2,f12,f3,f47,f21,f16,f15,f13,f7,f35,f17,f14,f28,f26,f31,f32,f34,f36,f37,f40,f19,f5,f33,f38,f4,f30,f29,f27,f650,f42,f703,f45,f76,f807,f809,f820,f430,f1011,f1004,f25,f985,f11,f1042,f426,f1069,f1070,f20,f22,f23,f24,f44,f43,f41,f18,f39,f6,f8,f9,f10,f806,f700,f652,f1211,f630,f105,f412,f1270,f1286,f1291,f885,f882]) ).
fof(f1297,plain,
( ~ spl0_6
| ~ spl0_19
| ~ spl0_22
| ~ spl0_23 ),
inference(avatar_contradiction_clause,[],[f1296]) ).
fof(f1296,plain,
( $false
| ~ spl0_6
| ~ spl0_19
| ~ spl0_22
| ~ spl0_23 ),
inference(global_subsumption,[],[f1,f2,f12,f3,f47,f21,f16,f15,f13,f7,f35,f17,f14,f28,f26,f31,f32,f34,f36,f37,f40,f19,f5,f33,f38,f4,f30,f29,f27,f650,f42,f703,f45,f76,f807,f809,f820,f430,f882,f1011,f1004,f25,f985,f11,f1042,f426,f1069,f1070,f20,f22,f23,f24,f44,f43,f41,f18,f39,f6,f8,f9,f10,f806,f700,f652,f1211,f630,f105,f412,f1270,f1286,f1291,f885]) ).
fof(f1295,plain,
( ~ spl0_6
| ~ spl0_19
| spl0_21
| ~ spl0_22
| ~ spl0_23 ),
inference(avatar_contradiction_clause,[],[f1294]) ).
fof(f1294,plain,
( $false
| ~ spl0_6
| ~ spl0_19
| spl0_21
| ~ spl0_22
| ~ spl0_23 ),
inference(global_subsumption,[],[f886,f1,f2,f12,f3,f47,f21,f16,f15,f13,f7,f35,f17,f14,f28,f26,f31,f32,f34,f36,f37,f40,f19,f5,f33,f38,f4,f30,f29,f27,f650,f42,f703,f45,f76,f807,f809,f820,f430,f885,f882,f1011,f1004,f25,f985,f11,f1042,f426,f1069,f1070,f20,f22,f23,f24,f44,f43,f41,f18,f39,f6,f8,f9,f10,f806,f700,f652,f1211,f630,f105,f412,f1270,f1286,f1291]) ).
fof(f886,plain,
( identity != sk_c10
| spl0_21
| ~ spl0_23 ),
inference(superposition,[],[f422,f430]) ).
fof(f422,plain,
( sk_c10 != sk_c8
| spl0_21 ),
inference(avatar_component_clause,[],[f420]) ).
fof(f420,plain,
( spl0_21
<=> sk_c10 = sk_c8 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_21])]) ).
fof(f1293,plain,
( ~ spl0_6
| ~ spl0_19
| ~ spl0_22
| ~ spl0_23 ),
inference(avatar_contradiction_clause,[],[f1292]) ).
fof(f1292,plain,
( $false
| ~ spl0_6
| ~ spl0_19
| ~ spl0_22
| ~ spl0_23 ),
inference(global_subsumption,[],[f1,f2,f12,f3,f47,f21,f16,f15,f13,f7,f35,f17,f14,f28,f26,f31,f32,f34,f36,f37,f40,f19,f5,f33,f38,f4,f30,f29,f27,f650,f42,f703,f45,f76,f807,f809,f820,f430,f885,f882,f1011,f1004,f25,f985,f11,f1042,f426,f1069,f1070,f20,f22,f23,f24,f44,f43,f41,f18,f39,f6,f8,f9,f10,f806,f700,f652,f1211,f630,f105,f412,f1270,f1286,f1291]) ).
fof(f1288,plain,
( ~ spl0_6
| ~ spl0_19
| ~ spl0_22
| ~ spl0_23 ),
inference(avatar_contradiction_clause,[],[f1287]) ).
fof(f1287,plain,
( $false
| ~ spl0_6
| ~ spl0_19
| ~ spl0_22
| ~ spl0_23 ),
inference(global_subsumption,[],[f1,f2,f12,f3,f47,f21,f16,f15,f13,f7,f35,f17,f14,f28,f26,f31,f32,f34,f36,f37,f40,f19,f5,f33,f38,f4,f30,f29,f27,f650,f42,f703,f45,f76,f807,f809,f820,f430,f885,f882,f1011,f1004,f25,f985,f11,f1042,f426,f1069,f1070,f20,f22,f23,f24,f44,f43,f41,f18,f39,f6,f8,f9,f10,f806,f700,f652,f1211,f630,f105,f412,f1270,f1286]) ).
fof(f1284,plain,
( ~ spl0_2
| spl0_15
| ~ spl0_17 ),
inference(avatar_contradiction_clause,[],[f1283]) ).
fof(f1283,plain,
( $false
| ~ spl0_2
| spl0_15
| ~ spl0_17 ),
inference(subsumption_resolution,[],[f1282,f361]) ).
fof(f361,plain,
( identity != sk_c9
| spl0_15 ),
inference(avatar_component_clause,[],[f359]) ).
fof(f1282,plain,
( identity = sk_c9
| ~ spl0_2
| ~ spl0_17 ),
inference(forward_demodulation,[],[f1280,f2]) ).
fof(f1280,plain,
( sk_c9 = multiply(inverse(sk_c10),sk_c10)
| ~ spl0_2
| ~ spl0_17 ),
inference(superposition,[],[f76,f1066]) ).
fof(f1066,plain,
( sk_c10 = multiply(sk_c10,sk_c9)
| ~ spl0_2
| ~ spl0_17 ),
inference(forward_demodulation,[],[f1064,f55]) ).
fof(f1064,plain,
( sk_c10 = multiply(inverse(sk_c4),sk_c9)
| ~ spl0_17 ),
inference(superposition,[],[f76,f382]) ).
fof(f382,plain,
( sk_c9 = multiply(sk_c4,sk_c10)
| ~ spl0_17 ),
inference(avatar_component_clause,[],[f380]) ).
fof(f380,plain,
( spl0_17
<=> sk_c9 = multiply(sk_c4,sk_c10) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_17])]) ).
fof(f1210,plain,
( spl0_1
| ~ spl0_7
| spl0_17 ),
inference(avatar_contradiction_clause,[],[f1209]) ).
fof(f1209,plain,
( $false
| spl0_1
| ~ spl0_7
| spl0_17 ),
inference(global_subsumption,[],[f108,f1,f2,f12,f58,f59,f61,f62,f63,f64,f65,f3,f69,f72,f73,f74,f80,f86,f89,f81,f47,f110,f119,f111,f121,f112,f124,f123,f113,f125,f114,f127,f117,f128,f115,f116,f21,f16,f15,f13,f7,f35,f17,f14,f28,f26,f31,f32,f34,f36,f37,f40,f19,f5,f33,f38,f4,f30,f528,f29,f529,f27,f530,f503,f42,f45,f76,f807,f809,f820,f25,f11,f50,f10,f9,f8,f6,f39,f18,f1152,f41,f43,f44,f24,f23,f22,f20,f1094,f1091,f1088,f1085,f92,f60,f381]) ).
fof(f381,plain,
( sk_c9 != multiply(sk_c4,sk_c10)
| spl0_17 ),
inference(avatar_component_clause,[],[f380]) ).
fof(f92,plain,
( sk_c9 = sk_c8
| spl0_1 ),
inference(forward_demodulation,[],[f90,f64]) ).
fof(f90,plain,
( sk_c8 = multiply(sk_c8,sk_c7)
| spl0_1 ),
inference(superposition,[],[f81,f65]) ).
fof(f1085,plain,
( sk_c8 = inverse(sk_c6)
| spl0_1 ),
inference(subsumption_resolution,[],[f17,f50]) ).
fof(f1088,plain,
( sk_c9 = multiply(sk_c5,sk_c8)
| spl0_1 ),
inference(subsumption_resolution,[],[f13,f50]) ).
fof(f1091,plain,
( sk_c9 = multiply(sk_c8,sk_c7)
| spl0_1 ),
inference(subsumption_resolution,[],[f15,f50]) ).
fof(f1094,plain,
( sk_c7 = multiply(sk_c6,sk_c8)
| spl0_1 ),
inference(subsumption_resolution,[],[f16,f50]) ).
fof(f1152,plain,
( sk_c9 = multiply(sk_c4,sk_c10)
| spl0_1 ),
inference(subsumption_resolution,[],[f11,f50]) ).
fof(f503,plain,
( sk_c9 = inverse(sk_c2)
| spl0_17 ),
inference(subsumption_resolution,[],[f25,f381]) ).
fof(f530,plain,
( sk_c9 = inverse(sk_c2)
| spl0_17 ),
inference(global_subsumption,[],[f1,f2,f12,f3,f76,f47,f44,f43,f41,f39,f23,f22,f20,f18,f9,f8,f6,f42,f21,f16,f15,f13,f11,f7,f35,f17,f14,f28,f26,f25,f31,f24,f32,f34,f36,f37,f45,f40,f19,f5,f33,f38,f10,f4,f381,f503,f30,f528,f29,f529,f27]) ).
fof(f529,plain,
( sk_c9 = inverse(sk_c2)
| spl0_17 ),
inference(global_subsumption,[],[f1,f2,f12,f3,f76,f47,f44,f43,f41,f39,f23,f22,f20,f18,f9,f8,f6,f42,f21,f16,f15,f13,f11,f7,f35,f17,f14,f28,f26,f25,f31,f24,f32,f34,f36,f37,f45,f40,f19,f5,f33,f38,f10,f4,f381,f503,f27,f30,f528,f29]) ).
fof(f528,plain,
( sk_c9 = inverse(sk_c2)
| spl0_17 ),
inference(global_subsumption,[],[f1,f2,f12,f3,f76,f47,f44,f43,f41,f39,f23,f22,f20,f18,f9,f8,f6,f42,f21,f16,f15,f13,f11,f7,f35,f17,f14,f28,f26,f25,f31,f24,f32,f34,f36,f37,f45,f40,f19,f5,f33,f38,f10,f4,f381,f503,f27,f29,f30]) ).
fof(f116,plain,
( ! [X0] : multiply(sk_c9,multiply(sk_c6,X0)) = X0
| spl0_1 ),
inference(superposition,[],[f81,f92]) ).
fof(f115,plain,
( ! [X0] : multiply(sk_c9,multiply(sk_c5,X0)) = X0
| spl0_1 ),
inference(superposition,[],[f80,f92]) ).
fof(f128,plain,
( ! [X0] : multiply(sk_c9,X0) = multiply(sk_c9,multiply(sk_c9,X0))
| spl0_1 ),
inference(superposition,[],[f3,f117]) ).
fof(f117,plain,
( sk_c9 = multiply(sk_c9,sk_c9)
| spl0_1 ),
inference(superposition,[],[f86,f92]) ).
fof(f127,plain,
( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c6,multiply(sk_c9,X0))
| spl0_1 ),
inference(superposition,[],[f3,f114]) ).
fof(f114,plain,
( sk_c7 = multiply(sk_c6,sk_c9)
| spl0_1 ),
inference(superposition,[],[f65,f92]) ).
fof(f125,plain,
( ! [X0] : multiply(sk_c9,X0) = multiply(sk_c9,multiply(sk_c7,X0))
| spl0_1 ),
inference(superposition,[],[f3,f113]) ).
fof(f113,plain,
( sk_c9 = multiply(sk_c9,sk_c7)
| spl0_1 ),
inference(superposition,[],[f64,f92]) ).
fof(f123,plain,
( ! [X0] : multiply(sk_c9,X0) = multiply(sk_c5,multiply(sk_c9,X0))
| spl0_1 ),
inference(superposition,[],[f3,f112]) ).
fof(f124,plain,
( sk_c9 = multiply(sk_c9,sk_c9)
| spl0_1 ),
inference(forward_demodulation,[],[f122,f92]) ).
fof(f122,plain,
( sk_c9 = multiply(sk_c8,sk_c9)
| spl0_1 ),
inference(superposition,[],[f80,f112]) ).
fof(f112,plain,
( sk_c9 = multiply(sk_c5,sk_c9)
| spl0_1 ),
inference(superposition,[],[f63,f92]) ).
fof(f121,plain,
( ! [X0] : multiply(sk_c9,multiply(sk_c6,X0)) = X0
| spl0_1 ),
inference(forward_demodulation,[],[f120,f1]) ).
fof(f120,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c9,multiply(sk_c6,X0))
| spl0_1 ),
inference(superposition,[],[f3,f111]) ).
fof(f111,plain,
( identity = multiply(sk_c9,sk_c6)
| spl0_1 ),
inference(superposition,[],[f61,f92]) ).
fof(f119,plain,
( ! [X0] : multiply(sk_c9,multiply(sk_c5,X0)) = X0
| spl0_1 ),
inference(forward_demodulation,[],[f118,f1]) ).
fof(f118,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c9,multiply(sk_c5,X0))
| spl0_1 ),
inference(superposition,[],[f3,f110]) ).
fof(f110,plain,
( identity = multiply(sk_c9,sk_c5)
| spl0_1 ),
inference(superposition,[],[f59,f92]) ).
fof(f81,plain,
( ! [X0] : multiply(sk_c8,multiply(sk_c6,X0)) = X0
| spl0_1 ),
inference(forward_demodulation,[],[f75,f1]) ).
fof(f75,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c8,multiply(sk_c6,X0))
| spl0_1 ),
inference(superposition,[],[f3,f61]) ).
fof(f89,plain,
( ! [X0] : multiply(sk_c8,X0) = multiply(sk_c8,multiply(sk_c9,X0))
| spl0_1 ),
inference(superposition,[],[f3,f86]) ).
fof(f86,plain,
( sk_c8 = multiply(sk_c8,sk_c9)
| spl0_1 ),
inference(superposition,[],[f80,f63]) ).
fof(f80,plain,
( ! [X0] : multiply(sk_c8,multiply(sk_c5,X0)) = X0
| spl0_1 ),
inference(forward_demodulation,[],[f71,f1]) ).
fof(f71,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c8,multiply(sk_c5,X0))
| spl0_1 ),
inference(superposition,[],[f3,f59]) ).
fof(f74,plain,
( ! [X0] : multiply(sk_c9,X0) = multiply(sk_c8,multiply(sk_c7,X0))
| spl0_1 ),
inference(superposition,[],[f3,f64]) ).
fof(f73,plain,
( ! [X0] : multiply(sk_c6,multiply(sk_c8,X0)) = multiply(sk_c7,X0)
| spl0_1 ),
inference(superposition,[],[f3,f65]) ).
fof(f72,plain,
( ! [X0] : multiply(sk_c9,X0) = multiply(sk_c5,multiply(sk_c8,X0))
| spl0_1 ),
inference(superposition,[],[f3,f63]) ).
fof(f69,plain,
( ! [X0] : multiply(sk_c4,multiply(sk_c10,X0)) = multiply(sk_c9,X0)
| spl0_1 ),
inference(superposition,[],[f3,f62]) ).
fof(f65,plain,
( sk_c7 = multiply(sk_c6,sk_c8)
| spl0_1 ),
inference(subsumption_resolution,[],[f16,f50]) ).
fof(f64,plain,
( sk_c9 = multiply(sk_c8,sk_c7)
| spl0_1 ),
inference(subsumption_resolution,[],[f15,f50]) ).
fof(f63,plain,
( sk_c9 = multiply(sk_c5,sk_c8)
| spl0_1 ),
inference(subsumption_resolution,[],[f13,f50]) ).
fof(f62,plain,
( sk_c9 = multiply(sk_c4,sk_c10)
| spl0_1 ),
inference(subsumption_resolution,[],[f11,f50]) ).
fof(f61,plain,
( identity = multiply(sk_c8,sk_c6)
| spl0_1 ),
inference(superposition,[],[f2,f60]) ).
fof(f59,plain,
( identity = multiply(sk_c8,sk_c5)
| spl0_1 ),
inference(superposition,[],[f2,f58]) ).
fof(f58,plain,
( sk_c8 = inverse(sk_c5)
| spl0_1 ),
inference(subsumption_resolution,[],[f14,f50]) ).
fof(f108,plain,
( ! [X3] :
( sk_c9 != multiply(X3,sk_c10)
| sk_c10 != inverse(X3) )
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f107]) ).
fof(f107,plain,
( spl0_7
<=> ! [X3] :
( sk_c10 != inverse(X3)
| sk_c9 != multiply(X3,sk_c10) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).
fof(f1208,plain,
( spl0_1
| ~ spl0_16
| spl0_17 ),
inference(avatar_contradiction_clause,[],[f1207]) ).
fof(f1207,plain,
( $false
| spl0_1
| ~ spl0_16
| spl0_17 ),
inference(global_subsumption,[],[f378,f1,f2,f12,f58,f59,f61,f62,f63,f64,f65,f3,f69,f72,f73,f74,f80,f86,f89,f81,f47,f110,f119,f111,f121,f112,f124,f123,f113,f125,f114,f127,f117,f128,f115,f116,f21,f16,f15,f13,f7,f35,f17,f14,f28,f26,f31,f32,f34,f36,f37,f40,f19,f5,f33,f38,f4,f30,f528,f29,f529,f27,f530,f503,f42,f45,f76,f807,f809,f820,f25,f11,f50,f10,f9,f8,f6,f39,f18,f1152,f41,f43,f44,f24,f23,f22,f20,f1094,f1091,f1088,f1085,f92,f60,f381]) ).
fof(f1206,plain,
( spl0_1
| ~ spl0_2
| ~ spl0_16
| spl0_17
| ~ spl0_18 ),
inference(avatar_contradiction_clause,[],[f1205]) ).
fof(f1205,plain,
( $false
| spl0_1
| ~ spl0_2
| ~ spl0_16
| spl0_17
| ~ spl0_18 ),
inference(global_subsumption,[],[f571,f1,f2,f12,f58,f59,f61,f62,f63,f64,f65,f3,f69,f72,f73,f74,f80,f86,f89,f81,f47,f110,f119,f111,f121,f112,f124,f123,f113,f125,f114,f127,f117,f128,f115,f116,f21,f16,f15,f13,f7,f35,f17,f14,f28,f26,f31,f32,f34,f36,f37,f40,f19,f5,f33,f38,f4,f30,f528,f29,f529,f27,f530,f503,f42,f45,f76,f807,f809,f820,f25,f11,f50,f10,f9,f8,f6,f39,f18,f1152,f41,f43,f44,f24,f23,f22,f20,f1094,f1091,f1088,f1085,f92,f60,f381]) ).
fof(f571,plain,
( sk_c4 = multiply(sk_c1,identity)
| ~ spl0_2
| ~ spl0_16
| ~ spl0_18 ),
inference(superposition,[],[f437,f561]) ).
fof(f561,plain,
( ! [X0] : multiply(sk_c9,X0) = X0
| ~ spl0_18 ),
inference(forward_demodulation,[],[f560,f1]) ).
fof(f560,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c9,multiply(identity,X0))
| ~ spl0_18 ),
inference(superposition,[],[f3,f550]) ).
fof(f550,plain,
( identity = multiply(sk_c9,identity)
| ~ spl0_18 ),
inference(superposition,[],[f2,f408]) ).
fof(f408,plain,
( sk_c9 = inverse(identity)
| ~ spl0_18 ),
inference(avatar_component_clause,[],[f407]) ).
fof(f1204,plain,
( spl0_1
| ~ spl0_2
| ~ spl0_16
| spl0_17
| ~ spl0_18 ),
inference(avatar_contradiction_clause,[],[f1203]) ).
fof(f1203,plain,
( $false
| spl0_1
| ~ spl0_2
| ~ spl0_16
| spl0_17
| ~ spl0_18 ),
inference(global_subsumption,[],[f564,f1,f2,f12,f58,f59,f61,f62,f63,f64,f65,f3,f69,f72,f73,f74,f80,f86,f89,f81,f47,f110,f119,f111,f121,f112,f124,f123,f113,f125,f114,f127,f117,f128,f115,f116,f21,f16,f15,f13,f7,f35,f17,f14,f28,f26,f31,f32,f34,f36,f37,f40,f19,f5,f33,f38,f4,f30,f528,f29,f529,f27,f530,f503,f42,f45,f76,f807,f809,f820,f25,f11,f50,f10,f9,f8,f6,f39,f18,f1152,f41,f43,f44,f24,f23,f22,f20,f1094,f1091,f1088,f1085,f92,f60,f381]) ).
fof(f564,plain,
( sk_c4 = multiply(sk_c1,identity)
| ~ spl0_2
| ~ spl0_16
| ~ spl0_18 ),
inference(superposition,[],[f561,f437]) ).
fof(f1202,plain,
( spl0_1
| spl0_17 ),
inference(avatar_contradiction_clause,[],[f1201]) ).
fof(f1201,plain,
( $false
| spl0_1
| spl0_17 ),
inference(global_subsumption,[],[f1,f2,f12,f58,f59,f61,f62,f63,f64,f65,f3,f69,f72,f73,f74,f80,f86,f89,f81,f47,f110,f119,f111,f121,f112,f124,f123,f113,f125,f114,f127,f117,f128,f115,f116,f21,f16,f15,f13,f7,f35,f17,f14,f28,f26,f31,f32,f34,f36,f37,f40,f19,f5,f33,f38,f4,f30,f528,f29,f529,f27,f530,f503,f42,f45,f76,f807,f809,f820,f25,f11,f50,f10,f9,f8,f6,f39,f18,f1152,f41,f43,f44,f24,f23,f22,f20,f1094,f1091,f1088,f1085,f92,f60,f381]) ).
fof(f1200,plain,
( spl0_1
| spl0_17
| ~ spl0_19 ),
inference(avatar_contradiction_clause,[],[f1199]) ).
fof(f1199,plain,
( $false
| spl0_1
| spl0_17
| ~ spl0_19 ),
inference(global_subsumption,[],[f412,f1,f2,f12,f58,f59,f61,f62,f63,f64,f65,f3,f69,f72,f73,f74,f80,f86,f89,f81,f47,f110,f119,f111,f121,f112,f124,f123,f113,f125,f114,f127,f117,f128,f115,f116,f21,f16,f15,f13,f7,f35,f17,f14,f28,f26,f31,f32,f34,f36,f37,f40,f19,f5,f33,f38,f4,f381,f30,f528,f29,f529,f27,f530,f503,f42,f45,f76,f807,f809,f820,f25,f11,f50,f10,f9,f8,f6,f39,f18,f1152,f41,f43,f44,f24,f23,f22,f20,f1094,f1091,f1088,f1085,f92,f60]) ).
fof(f1198,plain,
( spl0_1
| ~ spl0_8
| spl0_17
| ~ spl0_18
| ~ spl0_19 ),
inference(avatar_contradiction_clause,[],[f1197]) ).
fof(f1197,plain,
( $false
| spl0_1
| ~ spl0_8
| spl0_17
| ~ spl0_18
| ~ spl0_19 ),
inference(global_subsumption,[],[f565,f1,f2,f12,f58,f59,f61,f62,f63,f64,f65,f3,f69,f72,f73,f74,f80,f86,f89,f81,f47,f110,f119,f111,f121,f112,f124,f123,f113,f125,f114,f127,f117,f128,f115,f116,f21,f16,f15,f13,f7,f35,f17,f14,f28,f26,f31,f32,f34,f36,f37,f40,f19,f5,f33,f38,f4,f381,f30,f528,f29,f529,f27,f530,f503,f42,f45,f76,f807,f809,f820,f25,f11,f50,f10,f9,f8,f6,f39,f18,f1152,f41,f43,f44,f24,f23,f22,f20,f1094,f1091,f1088,f1085,f92,f60]) ).
fof(f565,plain,
( identity = sk_c5
| ~ spl0_8
| ~ spl0_18
| ~ spl0_19 ),
inference(superposition,[],[f561,f531]) ).
fof(f531,plain,
( identity = multiply(sk_c9,sk_c5)
| ~ spl0_8
| ~ spl0_19 ),
inference(superposition,[],[f193,f412]) ).
fof(f193,plain,
( identity = multiply(sk_c8,sk_c5)
| ~ spl0_8 ),
inference(superposition,[],[f2,f187]) ).
fof(f187,plain,
( sk_c8 = inverse(sk_c5)
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f185]) ).
fof(f185,plain,
( spl0_8
<=> sk_c8 = inverse(sk_c5) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).
fof(f1196,plain,
( spl0_1
| ~ spl0_13
| spl0_17
| ~ spl0_18
| ~ spl0_19 ),
inference(avatar_contradiction_clause,[],[f1195]) ).
fof(f1195,plain,
( $false
| spl0_1
| ~ spl0_13
| spl0_17
| ~ spl0_18
| ~ spl0_19 ),
inference(global_subsumption,[],[f566,f1,f2,f12,f58,f59,f61,f62,f63,f64,f65,f3,f69,f72,f73,f74,f80,f86,f89,f81,f47,f110,f119,f111,f121,f112,f124,f123,f113,f125,f114,f127,f117,f128,f115,f116,f21,f16,f15,f13,f7,f35,f17,f14,f28,f26,f31,f32,f34,f36,f37,f40,f19,f5,f33,f38,f4,f381,f30,f528,f29,f529,f27,f530,f503,f42,f45,f76,f807,f809,f820,f25,f11,f50,f10,f9,f8,f6,f39,f18,f1152,f41,f43,f44,f24,f23,f22,f20,f1094,f1091,f1088,f1085,f92,f60]) ).
fof(f566,plain,
( identity = sk_c6
| ~ spl0_13
| ~ spl0_18
| ~ spl0_19 ),
inference(superposition,[],[f561,f535]) ).
fof(f535,plain,
( identity = multiply(sk_c9,sk_c6)
| ~ spl0_13
| ~ spl0_19 ),
inference(superposition,[],[f370,f412]) ).
fof(f370,plain,
( identity = multiply(sk_c8,sk_c6)
| ~ spl0_13 ),
inference(superposition,[],[f2,f347]) ).
fof(f347,plain,
( sk_c8 = inverse(sk_c6)
| ~ spl0_13 ),
inference(avatar_component_clause,[],[f345]) ).
fof(f345,plain,
( spl0_13
<=> sk_c8 = inverse(sk_c6) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).
fof(f1194,plain,
( spl0_1
| ~ spl0_12
| spl0_17
| ~ spl0_18
| ~ spl0_19 ),
inference(avatar_contradiction_clause,[],[f1193]) ).
fof(f1193,plain,
( $false
| spl0_1
| ~ spl0_12
| spl0_17
| ~ spl0_18
| ~ spl0_19 ),
inference(global_subsumption,[],[f567,f1,f2,f12,f58,f59,f61,f62,f63,f64,f65,f3,f69,f72,f73,f74,f80,f86,f89,f81,f47,f110,f119,f111,f121,f112,f124,f123,f113,f125,f114,f127,f117,f128,f115,f116,f21,f16,f15,f13,f7,f35,f17,f14,f28,f26,f31,f32,f34,f36,f37,f40,f19,f5,f33,f38,f4,f381,f30,f528,f29,f529,f27,f530,f503,f42,f45,f76,f807,f809,f820,f25,f11,f50,f10,f9,f8,f6,f39,f18,f1152,f41,f43,f44,f24,f23,f22,f20,f1094,f1091,f1088,f1085,f92,f60]) ).
fof(f567,plain,
( identity = sk_c3
| ~ spl0_12
| ~ spl0_18
| ~ spl0_19 ),
inference(superposition,[],[f561,f533]) ).
fof(f533,plain,
( identity = multiply(sk_c9,sk_c3)
| ~ spl0_12
| ~ spl0_19 ),
inference(superposition,[],[f349,f412]) ).
fof(f349,plain,
( identity = multiply(sk_c8,sk_c3)
| ~ spl0_12 ),
inference(superposition,[],[f2,f343]) ).
fof(f343,plain,
( sk_c8 = inverse(sk_c3)
| ~ spl0_12 ),
inference(avatar_component_clause,[],[f341]) ).
fof(f341,plain,
( spl0_12
<=> sk_c8 = inverse(sk_c3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).
fof(f1192,plain,
( spl0_1
| spl0_17 ),
inference(avatar_contradiction_clause,[],[f1191]) ).
fof(f1191,plain,
( $false
| spl0_1
| spl0_17 ),
inference(global_subsumption,[],[f1,f2,f12,f58,f59,f61,f62,f63,f64,f65,f3,f69,f72,f73,f74,f80,f86,f89,f81,f47,f110,f119,f111,f121,f112,f124,f123,f113,f125,f114,f127,f117,f128,f115,f116,f21,f16,f15,f13,f7,f35,f17,f14,f28,f26,f31,f32,f34,f36,f37,f40,f19,f5,f33,f38,f4,f381,f30,f528,f29,f529,f27,f530,f503,f42,f45,f76,f807,f809,f820,f25,f11,f50,f10,f9,f8,f6,f39,f18,f1152,f41,f43,f44,f24,f23,f22,f20,f1094,f1091,f1088,f1085,f92,f60]) ).
fof(f1190,plain,
( spl0_1
| spl0_17 ),
inference(avatar_contradiction_clause,[],[f1189]) ).
fof(f1189,plain,
( $false
| spl0_1
| spl0_17 ),
inference(global_subsumption,[],[f1,f2,f12,f58,f59,f61,f62,f63,f64,f65,f3,f69,f72,f73,f74,f80,f86,f89,f81,f47,f110,f119,f111,f121,f112,f124,f123,f113,f125,f114,f127,f117,f128,f115,f116,f21,f16,f15,f13,f7,f35,f17,f14,f28,f26,f31,f32,f34,f36,f37,f40,f19,f5,f33,f38,f4,f381,f30,f528,f29,f529,f27,f530,f503,f42,f45,f76,f807,f809,f820,f25,f11,f50,f60,f10,f9,f8,f6,f39,f18,f1152,f41,f43,f44,f24,f23,f22,f20,f1094,f1091,f1088,f1085,f92]) ).
fof(f1188,plain,
( spl0_1
| spl0_17 ),
inference(avatar_contradiction_clause,[],[f1187]) ).
fof(f1187,plain,
( $false
| spl0_1
| spl0_17 ),
inference(global_subsumption,[],[f1,f2,f12,f58,f59,f61,f62,f63,f64,f65,f3,f69,f72,f73,f74,f80,f86,f89,f81,f47,f110,f119,f111,f121,f112,f124,f123,f113,f125,f114,f127,f117,f128,f115,f116,f21,f16,f15,f13,f7,f35,f17,f14,f28,f26,f31,f32,f34,f36,f37,f40,f19,f5,f33,f38,f4,f381,f30,f528,f29,f529,f27,f530,f503,f42,f45,f76,f807,f809,f820,f25,f11,f50,f60,f92,f10,f9,f8,f6,f39,f18,f1152,f41,f43,f44,f24,f23,f22,f20,f1094,f1091,f1088,f1085]) ).
fof(f1186,plain,
( spl0_1
| spl0_17 ),
inference(avatar_contradiction_clause,[],[f1185]) ).
fof(f1185,plain,
( $false
| spl0_1
| spl0_17 ),
inference(global_subsumption,[],[f1,f2,f12,f58,f59,f61,f62,f63,f64,f65,f3,f69,f72,f73,f74,f80,f86,f89,f81,f47,f110,f119,f111,f121,f112,f124,f123,f113,f125,f114,f127,f117,f128,f115,f116,f21,f16,f15,f13,f7,f35,f17,f14,f28,f26,f31,f32,f34,f36,f37,f40,f19,f5,f33,f38,f4,f381,f30,f528,f29,f529,f27,f530,f503,f42,f45,f76,f807,f809,f820,f25,f11,f50,f60,f92,f1085,f10,f9,f8,f6,f39,f18,f1152,f41,f43,f44,f24,f23,f22,f20,f1094,f1091,f1088]) ).
fof(f1184,plain,
( spl0_1
| spl0_17 ),
inference(avatar_contradiction_clause,[],[f1183]) ).
fof(f1183,plain,
( $false
| spl0_1
| spl0_17 ),
inference(global_subsumption,[],[f1,f2,f12,f58,f59,f61,f62,f63,f64,f65,f3,f69,f72,f73,f74,f80,f86,f89,f81,f47,f110,f119,f111,f121,f112,f124,f123,f113,f125,f114,f127,f117,f128,f115,f116,f21,f16,f15,f13,f7,f35,f17,f14,f28,f26,f31,f32,f34,f36,f37,f40,f19,f5,f33,f38,f4,f381,f30,f528,f29,f529,f27,f530,f503,f42,f45,f76,f807,f809,f820,f25,f11,f50,f60,f92,f1085,f1088,f10,f9,f8,f6,f39,f18,f1152,f41,f43,f44,f24,f23,f22,f20,f1094,f1091]) ).
fof(f1182,plain,
( spl0_1
| spl0_17 ),
inference(avatar_contradiction_clause,[],[f1181]) ).
fof(f1181,plain,
( $false
| spl0_1
| spl0_17 ),
inference(global_subsumption,[],[f1,f2,f12,f58,f59,f61,f62,f63,f64,f65,f3,f69,f72,f73,f74,f80,f86,f89,f81,f47,f110,f119,f111,f121,f112,f124,f123,f113,f125,f114,f127,f117,f128,f115,f116,f21,f16,f15,f13,f7,f35,f17,f14,f28,f26,f31,f32,f34,f36,f37,f40,f19,f5,f33,f38,f4,f381,f30,f528,f29,f529,f27,f530,f503,f42,f45,f76,f807,f809,f820,f25,f11,f50,f60,f92,f1085,f1088,f1091,f10,f9,f8,f6,f39,f18,f1152,f41,f43,f44,f24,f23,f22,f20,f1094]) ).
fof(f1180,plain,
( spl0_1
| spl0_17 ),
inference(avatar_contradiction_clause,[],[f1179]) ).
fof(f1179,plain,
( $false
| spl0_1
| spl0_17 ),
inference(global_subsumption,[],[f1,f2,f12,f58,f59,f61,f62,f63,f64,f65,f3,f69,f72,f73,f74,f80,f86,f89,f81,f47,f110,f119,f111,f121,f112,f124,f123,f113,f125,f114,f127,f117,f128,f115,f116,f21,f16,f15,f13,f7,f35,f17,f14,f28,f26,f31,f32,f34,f36,f37,f40,f19,f5,f33,f38,f4,f381,f30,f528,f29,f529,f27,f530,f503,f42,f45,f76,f807,f809,f820,f25,f11,f50,f60,f92,f1085,f1088,f1091,f1094,f10,f9,f8,f6,f39,f18,f1152,f41,f43,f44,f24,f23,f22,f20]) ).
fof(f1178,plain,
( spl0_1
| spl0_17 ),
inference(avatar_contradiction_clause,[],[f1177]) ).
fof(f1177,plain,
( $false
| spl0_1
| spl0_17 ),
inference(global_subsumption,[],[f1,f2,f12,f58,f59,f61,f62,f63,f64,f65,f3,f69,f72,f73,f74,f80,f86,f89,f81,f47,f110,f119,f111,f121,f112,f124,f123,f113,f125,f114,f127,f117,f128,f115,f116,f21,f16,f15,f13,f7,f35,f17,f14,f28,f26,f31,f32,f34,f36,f37,f40,f19,f5,f33,f38,f4,f381,f30,f528,f29,f529,f27,f530,f503,f42,f45,f76,f807,f809,f820,f25,f11,f50,f60,f92,f1085,f1088,f1091,f1094,f20,f10,f9,f8,f6,f39,f18,f1152,f41,f43,f44,f24,f23,f22]) ).
fof(f1176,plain,
( spl0_1
| spl0_17 ),
inference(avatar_contradiction_clause,[],[f1175]) ).
fof(f1175,plain,
( $false
| spl0_1
| spl0_17 ),
inference(global_subsumption,[],[f1,f2,f12,f58,f59,f61,f62,f63,f64,f65,f3,f69,f72,f73,f74,f80,f86,f89,f81,f47,f110,f119,f111,f121,f112,f124,f123,f113,f125,f114,f127,f117,f128,f115,f116,f21,f16,f15,f13,f7,f35,f17,f14,f28,f26,f31,f32,f34,f36,f37,f40,f19,f5,f33,f38,f4,f381,f30,f528,f29,f529,f27,f530,f503,f42,f45,f76,f807,f809,f820,f25,f11,f50,f60,f92,f1085,f1088,f1091,f1094,f20,f22,f10,f9,f8,f6,f39,f18,f1152,f41,f43,f44,f24,f23]) ).
fof(f1174,plain,
( spl0_1
| spl0_17 ),
inference(avatar_contradiction_clause,[],[f1173]) ).
fof(f1173,plain,
( $false
| spl0_1
| spl0_17 ),
inference(global_subsumption,[],[f1,f2,f12,f58,f59,f61,f62,f63,f64,f65,f3,f69,f72,f73,f74,f80,f86,f89,f81,f47,f110,f119,f111,f121,f112,f124,f123,f113,f125,f114,f127,f117,f128,f115,f116,f21,f16,f15,f13,f7,f35,f17,f14,f28,f26,f31,f32,f34,f36,f37,f40,f19,f5,f33,f38,f4,f381,f30,f528,f29,f529,f27,f530,f503,f42,f45,f76,f807,f809,f820,f25,f11,f50,f60,f92,f1085,f1088,f1091,f1094,f20,f22,f23,f10,f9,f8,f6,f39,f18,f1152,f41,f43,f44,f24]) ).
fof(f1172,plain,
( spl0_1
| ~ spl0_12
| spl0_17 ),
inference(avatar_contradiction_clause,[],[f1171]) ).
fof(f1171,plain,
( $false
| spl0_1
| ~ spl0_12
| spl0_17 ),
inference(global_subsumption,[],[f829,f1,f2,f12,f58,f59,f61,f62,f63,f64,f65,f3,f69,f72,f73,f74,f80,f86,f89,f81,f47,f110,f119,f111,f121,f112,f124,f123,f113,f125,f114,f127,f117,f128,f115,f116,f21,f16,f15,f13,f7,f35,f17,f14,f28,f26,f31,f32,f34,f36,f37,f40,f19,f5,f33,f38,f4,f381,f30,f528,f29,f529,f27,f530,f503,f42,f45,f76,f807,f809,f820,f25,f11,f50,f60,f92,f1085,f1088,f1091,f1094,f20,f22,f23,f24,f10,f9,f8,f6,f39,f18,f1152,f41,f43,f44]) ).
fof(f829,plain,
( sk_c3 = multiply(inverse(sk_c8),identity)
| ~ spl0_12 ),
inference(superposition,[],[f76,f349]) ).
fof(f1170,plain,
( spl0_1
| ~ spl0_8
| spl0_17 ),
inference(avatar_contradiction_clause,[],[f1169]) ).
fof(f1169,plain,
( $false
| spl0_1
| ~ spl0_8
| spl0_17 ),
inference(global_subsumption,[],[f828,f1,f2,f12,f58,f59,f61,f62,f63,f64,f65,f3,f69,f72,f73,f74,f80,f86,f89,f81,f47,f110,f119,f111,f121,f112,f124,f123,f113,f125,f114,f127,f117,f128,f115,f116,f21,f16,f15,f13,f7,f35,f17,f14,f28,f26,f31,f32,f34,f36,f37,f40,f19,f5,f33,f38,f4,f381,f30,f528,f29,f529,f27,f530,f503,f42,f45,f76,f807,f809,f820,f25,f11,f50,f60,f92,f1085,f1088,f1091,f1094,f20,f22,f23,f24,f10,f9,f8,f6,f39,f18,f1152,f41,f43,f44]) ).
fof(f828,plain,
( sk_c5 = multiply(inverse(sk_c8),identity)
| ~ spl0_8 ),
inference(superposition,[],[f76,f680]) ).
fof(f680,plain,
( identity = multiply(sk_c8,sk_c5)
| ~ spl0_8 ),
inference(superposition,[],[f2,f187]) ).
fof(f1168,plain,
( spl0_1
| ~ spl0_12
| spl0_17 ),
inference(avatar_contradiction_clause,[],[f1167]) ).
fof(f1167,plain,
( $false
| spl0_1
| ~ spl0_12
| spl0_17 ),
inference(global_subsumption,[],[f819,f1,f2,f12,f58,f59,f61,f62,f63,f64,f65,f3,f69,f72,f73,f74,f80,f86,f89,f81,f47,f110,f119,f111,f121,f112,f124,f123,f113,f125,f114,f127,f117,f128,f115,f116,f21,f16,f15,f13,f7,f35,f17,f14,f28,f26,f31,f32,f34,f36,f37,f40,f19,f5,f33,f38,f4,f381,f30,f528,f29,f529,f27,f530,f503,f42,f45,f76,f807,f809,f820,f25,f11,f50,f60,f92,f1085,f1088,f1091,f1094,f20,f22,f23,f24,f10,f9,f8,f6,f39,f18,f1152,f41,f43,f44]) ).
fof(f819,plain,
( ! [X0] : multiply(sk_c3,X0) = multiply(inverse(sk_c8),X0)
| ~ spl0_12 ),
inference(superposition,[],[f76,f351]) ).
fof(f351,plain,
( ! [X0] : multiply(sk_c8,multiply(sk_c3,X0)) = X0
| ~ spl0_12 ),
inference(forward_demodulation,[],[f350,f1]) ).
fof(f350,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c8,multiply(sk_c3,X0))
| ~ spl0_12 ),
inference(superposition,[],[f3,f349]) ).
fof(f1166,plain,
( spl0_1
| ~ spl0_8
| spl0_17 ),
inference(avatar_contradiction_clause,[],[f1165]) ).
fof(f1165,plain,
( $false
| spl0_1
| ~ spl0_8
| spl0_17 ),
inference(global_subsumption,[],[f818,f1,f2,f12,f58,f59,f61,f62,f63,f64,f65,f3,f69,f72,f73,f74,f80,f86,f89,f81,f47,f110,f119,f111,f121,f112,f124,f123,f113,f125,f114,f127,f117,f128,f115,f116,f21,f16,f15,f13,f7,f35,f17,f14,f28,f26,f31,f32,f34,f36,f37,f40,f19,f5,f33,f38,f4,f381,f30,f528,f29,f529,f27,f530,f503,f42,f45,f76,f807,f809,f820,f25,f11,f50,f60,f92,f1085,f1088,f1091,f1094,f20,f22,f23,f24,f10,f9,f8,f6,f39,f18,f1152,f41,f43,f44]) ).
fof(f818,plain,
( ! [X0] : multiply(sk_c5,X0) = multiply(inverse(sk_c8),X0)
| ~ spl0_8 ),
inference(superposition,[],[f76,f682]) ).
fof(f682,plain,
( ! [X0] : multiply(sk_c8,multiply(sk_c5,X0)) = X0
| ~ spl0_8 ),
inference(forward_demodulation,[],[f681,f1]) ).
fof(f681,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c8,multiply(sk_c5,X0))
| ~ spl0_8 ),
inference(superposition,[],[f3,f680]) ).
fof(f1164,plain,
( spl0_1
| spl0_17 ),
inference(avatar_contradiction_clause,[],[f1163]) ).
fof(f1163,plain,
( $false
| spl0_1
| spl0_17 ),
inference(global_subsumption,[],[f1,f2,f12,f58,f59,f61,f62,f63,f64,f65,f3,f69,f72,f73,f74,f80,f86,f89,f81,f47,f110,f119,f111,f121,f112,f124,f123,f113,f125,f114,f127,f117,f128,f115,f116,f21,f16,f15,f13,f7,f35,f17,f14,f28,f26,f31,f32,f34,f36,f37,f40,f19,f5,f33,f38,f4,f381,f30,f528,f29,f529,f27,f530,f503,f42,f45,f76,f807,f809,f820,f25,f11,f50,f60,f92,f1085,f1088,f1091,f1094,f20,f22,f23,f24,f10,f9,f8,f6,f39,f18,f1152,f41,f43,f44]) ).
fof(f1162,plain,
( spl0_1
| spl0_17 ),
inference(avatar_contradiction_clause,[],[f1161]) ).
fof(f1161,plain,
( $false
| spl0_1
| spl0_17 ),
inference(global_subsumption,[],[f1,f2,f12,f58,f59,f61,f62,f63,f64,f65,f3,f69,f72,f73,f74,f80,f86,f89,f81,f47,f110,f119,f111,f121,f112,f124,f123,f113,f125,f114,f127,f117,f128,f115,f116,f21,f16,f15,f13,f7,f35,f17,f14,f28,f26,f31,f32,f34,f36,f37,f40,f19,f5,f33,f38,f4,f381,f30,f528,f29,f529,f27,f530,f503,f42,f45,f76,f807,f809,f820,f25,f11,f50,f60,f92,f1085,f1088,f1091,f1094,f20,f22,f23,f24,f44,f10,f9,f8,f6,f39,f18,f1152,f41,f43]) ).
fof(f1160,plain,
( spl0_1
| spl0_17 ),
inference(avatar_contradiction_clause,[],[f1159]) ).
fof(f1159,plain,
( $false
| spl0_1
| spl0_17 ),
inference(global_subsumption,[],[f1,f2,f12,f58,f59,f61,f62,f63,f64,f65,f3,f69,f72,f73,f74,f80,f86,f89,f81,f47,f110,f119,f111,f121,f112,f124,f123,f113,f125,f114,f127,f117,f128,f115,f116,f21,f16,f15,f13,f7,f35,f17,f14,f28,f26,f31,f32,f34,f36,f37,f40,f19,f5,f33,f38,f4,f381,f30,f528,f29,f529,f27,f530,f503,f42,f45,f76,f807,f809,f820,f25,f11,f50,f60,f92,f1085,f1088,f1091,f1094,f20,f22,f23,f24,f44,f43,f10,f9,f8,f6,f39,f18,f1152,f41]) ).
fof(f1158,plain,
( spl0_1
| ~ spl0_13
| spl0_17 ),
inference(avatar_contradiction_clause,[],[f1157]) ).
fof(f1157,plain,
( $false
| spl0_1
| ~ spl0_13
| spl0_17 ),
inference(global_subsumption,[],[f753,f1,f2,f12,f58,f59,f61,f62,f63,f64,f65,f3,f69,f72,f73,f74,f80,f86,f89,f81,f47,f110,f119,f111,f121,f112,f124,f123,f113,f125,f114,f127,f117,f128,f115,f116,f21,f16,f15,f13,f7,f35,f17,f14,f28,f26,f31,f32,f34,f36,f37,f40,f19,f5,f33,f38,f4,f381,f30,f528,f29,f529,f27,f530,f503,f42,f45,f76,f807,f809,f820,f25,f11,f50,f60,f92,f1085,f1088,f1091,f1094,f20,f22,f23,f24,f44,f43,f41,f10,f9,f8,f6,f39,f18,f1152]) ).
fof(f753,plain,
( sk_c8 = inverse(sk_c6)
| ~ spl0_13 ),
inference(global_subsumption,[],[f1,f2,f12,f3,f76,f47,f44,f43,f41,f39,f23,f22,f20,f18,f9,f8,f6,f21,f16,f15,f13,f11,f7,f35,f17,f14,f28,f26,f25,f31,f24,f32,f34,f36,f37,f40,f19,f5,f33,f38,f10,f347,f370,f372,f4,f30,f29,f27,f42,f45]) ).
fof(f372,plain,
( ! [X0] : multiply(sk_c8,multiply(sk_c6,X0)) = X0
| ~ spl0_13 ),
inference(forward_demodulation,[],[f371,f1]) ).
fof(f371,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c8,multiply(sk_c6,X0))
| ~ spl0_13 ),
inference(superposition,[],[f3,f370]) ).
fof(f1156,plain,
( spl0_1
| ~ spl0_13
| spl0_17 ),
inference(avatar_contradiction_clause,[],[f1155]) ).
fof(f1155,plain,
( $false
| spl0_1
| ~ spl0_13
| spl0_17 ),
inference(global_subsumption,[],[f347,f1,f2,f12,f58,f59,f61,f62,f63,f64,f65,f3,f69,f72,f73,f74,f80,f86,f89,f81,f47,f110,f119,f111,f121,f112,f124,f123,f113,f125,f114,f127,f117,f128,f115,f116,f21,f16,f15,f13,f7,f35,f17,f14,f28,f26,f31,f32,f34,f36,f37,f40,f19,f5,f33,f38,f4,f381,f30,f528,f29,f529,f27,f530,f503,f42,f45,f76,f807,f809,f820,f25,f11,f50,f60,f92,f1085,f1088,f1091,f1094,f20,f22,f23,f24,f44,f43,f41,f10,f9,f8,f6,f39,f18,f1152]) ).
fof(f1154,plain,
( spl0_1
| spl0_17 ),
inference(avatar_contradiction_clause,[],[f1153]) ).
fof(f1153,plain,
( $false
| spl0_1
| spl0_17 ),
inference(global_subsumption,[],[f1,f2,f12,f58,f59,f61,f62,f63,f64,f65,f3,f69,f72,f73,f74,f80,f86,f89,f81,f47,f110,f119,f111,f121,f112,f124,f123,f113,f125,f114,f127,f117,f128,f115,f116,f21,f16,f15,f13,f7,f35,f17,f14,f28,f26,f31,f32,f34,f36,f37,f40,f19,f5,f33,f38,f4,f381,f30,f528,f29,f529,f27,f530,f503,f42,f45,f76,f807,f809,f820,f25,f11,f50,f60,f92,f1085,f1088,f1091,f1094,f20,f22,f23,f24,f44,f43,f41,f10,f9,f8,f6,f39,f18,f1152]) ).
fof(f1151,plain,
( spl0_1
| spl0_17 ),
inference(avatar_contradiction_clause,[],[f1150]) ).
fof(f1150,plain,
( $false
| spl0_1
| spl0_17 ),
inference(global_subsumption,[],[f1,f2,f12,f58,f59,f61,f62,f63,f64,f65,f3,f69,f72,f73,f74,f80,f86,f89,f81,f47,f110,f119,f111,f121,f112,f124,f123,f113,f125,f114,f127,f117,f128,f115,f116,f21,f16,f15,f13,f7,f35,f17,f14,f28,f26,f31,f32,f34,f36,f37,f40,f19,f5,f33,f38,f4,f381,f30,f528,f29,f529,f27,f530,f503,f42,f45,f76,f807,f809,f820,f25,f11,f50,f60,f92,f1085,f1088,f1091,f1094,f20,f22,f23,f24,f44,f43,f41,f10,f9,f8,f6,f39,f18]) ).
fof(f1149,plain,
( spl0_1
| spl0_17 ),
inference(avatar_contradiction_clause,[],[f1148]) ).
fof(f1148,plain,
( $false
| spl0_1
| spl0_17 ),
inference(global_subsumption,[],[f1,f2,f12,f58,f59,f61,f62,f63,f64,f65,f3,f69,f72,f73,f74,f80,f86,f89,f81,f47,f110,f119,f111,f121,f112,f124,f123,f113,f125,f114,f127,f117,f128,f115,f116,f18,f21,f16,f15,f13,f7,f35,f17,f14,f28,f26,f31,f32,f34,f36,f37,f40,f19,f5,f33,f38,f4,f381,f30,f528,f29,f529,f27,f530,f503,f42,f45,f76,f807,f809,f820,f25,f11,f50,f60,f92,f1085,f1088,f1091,f1094,f20,f22,f23,f24,f44,f43,f41,f10,f9,f8,f6,f39]) ).
fof(f1147,plain,
( spl0_1
| spl0_17 ),
inference(avatar_contradiction_clause,[],[f1146]) ).
fof(f1146,plain,
( $false
| spl0_1
| spl0_17 ),
inference(global_subsumption,[],[f1,f2,f12,f58,f59,f61,f62,f63,f64,f65,f3,f69,f72,f73,f74,f80,f86,f89,f81,f47,f110,f119,f111,f121,f112,f124,f123,f113,f125,f114,f127,f117,f128,f115,f116,f39,f18,f21,f16,f15,f13,f7,f35,f17,f14,f28,f26,f31,f32,f34,f36,f37,f40,f19,f5,f33,f38,f4,f381,f30,f528,f29,f529,f27,f530,f503,f42,f45,f76,f807,f809,f820,f25,f11,f50,f60,f92,f1085,f1088,f1091,f1094,f20,f22,f23,f24,f44,f43,f41,f10,f9,f8,f6]) ).
fof(f1145,plain,
( spl0_1
| spl0_17 ),
inference(avatar_contradiction_clause,[],[f1144]) ).
fof(f1144,plain,
( $false
| spl0_1
| spl0_17 ),
inference(global_subsumption,[],[f1,f2,f12,f58,f59,f61,f62,f63,f64,f65,f3,f69,f72,f73,f74,f80,f86,f89,f81,f47,f110,f119,f111,f121,f112,f124,f123,f113,f125,f114,f127,f117,f128,f115,f116,f39,f18,f6,f21,f16,f15,f13,f7,f35,f17,f14,f28,f26,f31,f32,f34,f36,f37,f40,f19,f5,f33,f38,f4,f381,f30,f528,f29,f529,f27,f530,f503,f42,f45,f76,f807,f809,f820,f25,f11,f50,f60,f92,f1085,f1088,f1091,f1094,f20,f22,f23,f24,f44,f43,f41,f10,f9,f8]) ).
fof(f1143,plain,
( spl0_1
| spl0_17 ),
inference(avatar_contradiction_clause,[],[f1142]) ).
fof(f1142,plain,
( $false
| spl0_1
| spl0_17 ),
inference(global_subsumption,[],[f1,f2,f12,f58,f59,f61,f62,f63,f64,f65,f3,f69,f72,f73,f74,f80,f86,f89,f81,f47,f110,f119,f111,f121,f112,f124,f123,f113,f125,f114,f127,f117,f128,f115,f116,f39,f18,f8,f6,f21,f16,f15,f13,f7,f35,f17,f14,f28,f26,f31,f32,f34,f36,f37,f40,f19,f5,f33,f38,f4,f381,f30,f528,f29,f529,f27,f530,f503,f42,f45,f76,f807,f809,f820,f25,f11,f50,f60,f92,f1085,f1088,f1091,f1094,f20,f22,f23,f24,f44,f43,f41,f10,f9]) ).
fof(f1141,plain,
( spl0_1
| spl0_17 ),
inference(avatar_contradiction_clause,[],[f1140]) ).
fof(f1140,plain,
( $false
| spl0_1
| spl0_17 ),
inference(global_subsumption,[],[f1,f2,f12,f58,f59,f61,f62,f63,f64,f65,f3,f69,f72,f73,f74,f80,f86,f89,f81,f47,f110,f119,f111,f121,f112,f124,f123,f113,f125,f114,f127,f117,f128,f115,f116,f39,f18,f9,f8,f6,f21,f16,f15,f13,f7,f35,f17,f14,f28,f26,f31,f32,f34,f36,f37,f40,f19,f5,f33,f38,f4,f381,f30,f528,f29,f529,f27,f530,f503,f42,f45,f76,f807,f809,f820,f25,f11,f50,f60,f92,f1085,f1088,f1091,f1094,f20,f22,f23,f24,f44,f43,f41,f10]) ).
fof(f1138,plain,
( spl0_1
| spl0_19 ),
inference(avatar_contradiction_clause,[],[f1137]) ).
fof(f1137,plain,
( $false
| spl0_1
| spl0_19 ),
inference(global_subsumption,[],[f1,f2,f12,f58,f59,f61,f62,f63,f64,f65,f3,f69,f72,f73,f74,f80,f86,f89,f81,f47,f110,f119,f111,f121,f112,f124,f123,f113,f125,f114,f127,f117,f128,f115,f116,f39,f18,f9,f8,f6,f21,f16,f15,f13,f7,f35,f17,f14,f28,f26,f31,f32,f34,f36,f37,f40,f19,f5,f33,f38,f10,f4,f30,f29,f27,f42,f45,f76,f807,f809,f820,f25,f11,f50,f60,f92,f1085,f1088,f1091,f1094,f20,f22,f23,f24,f44,f43,f41,f413]) ).
fof(f413,plain,
( sk_c9 != sk_c8
| spl0_19 ),
inference(avatar_component_clause,[],[f411]) ).
fof(f1136,plain,
( spl0_1
| ~ spl0_13
| spl0_19 ),
inference(avatar_contradiction_clause,[],[f1135]) ).
fof(f1135,plain,
( $false
| spl0_1
| ~ spl0_13
| spl0_19 ),
inference(global_subsumption,[],[f347,f1,f2,f12,f58,f59,f61,f62,f63,f64,f65,f3,f69,f72,f73,f74,f80,f86,f89,f81,f47,f110,f119,f111,f121,f112,f124,f123,f113,f125,f114,f127,f117,f128,f115,f116,f39,f18,f9,f8,f6,f21,f16,f15,f13,f7,f35,f17,f14,f28,f26,f31,f32,f34,f36,f37,f40,f19,f5,f33,f38,f10,f4,f30,f29,f27,f413,f42,f45,f76,f807,f809,f820,f25,f11,f50,f60,f92,f1085,f1088,f1091,f1094,f20,f22,f23,f24,f44,f43,f41]) ).
fof(f1134,plain,
( spl0_1
| ~ spl0_13
| spl0_19 ),
inference(avatar_contradiction_clause,[],[f1133]) ).
fof(f1133,plain,
( $false
| spl0_1
| ~ spl0_13
| spl0_19 ),
inference(global_subsumption,[],[f753,f1,f2,f12,f58,f59,f61,f62,f63,f64,f65,f3,f69,f72,f73,f74,f80,f86,f89,f81,f47,f110,f119,f111,f121,f112,f124,f123,f113,f125,f114,f127,f117,f128,f115,f116,f39,f18,f9,f8,f6,f21,f16,f15,f13,f7,f35,f17,f14,f28,f26,f31,f32,f34,f36,f37,f40,f19,f5,f33,f38,f10,f4,f30,f29,f27,f413,f42,f45,f76,f807,f809,f820,f25,f11,f50,f60,f92,f1085,f1088,f1091,f1094,f20,f22,f23,f24,f44,f43,f41]) ).
fof(f1132,plain,
( spl0_1
| spl0_19 ),
inference(avatar_contradiction_clause,[],[f1131]) ).
fof(f1131,plain,
( $false
| spl0_1
| spl0_19 ),
inference(global_subsumption,[],[f1,f2,f12,f58,f59,f61,f62,f63,f64,f65,f3,f69,f72,f73,f74,f80,f86,f89,f81,f47,f110,f119,f111,f121,f112,f124,f123,f113,f125,f114,f127,f117,f128,f115,f116,f39,f18,f9,f8,f6,f21,f16,f15,f13,f7,f35,f17,f14,f28,f26,f31,f32,f34,f36,f37,f40,f19,f5,f33,f38,f10,f4,f30,f29,f27,f413,f42,f45,f76,f807,f809,f820,f25,f11,f50,f60,f92,f1085,f1088,f1091,f1094,f20,f22,f23,f24,f44,f43,f41]) ).
fof(f1130,plain,
( spl0_1
| spl0_19 ),
inference(avatar_contradiction_clause,[],[f1129]) ).
fof(f1129,plain,
( $false
| spl0_1
| spl0_19 ),
inference(global_subsumption,[],[f1,f2,f12,f58,f59,f61,f62,f63,f64,f65,f3,f69,f72,f73,f74,f80,f86,f89,f81,f47,f110,f119,f111,f121,f112,f124,f123,f113,f125,f114,f127,f117,f128,f115,f116,f41,f39,f18,f9,f8,f6,f21,f16,f15,f13,f7,f35,f17,f14,f28,f26,f31,f32,f34,f36,f37,f40,f19,f5,f33,f38,f10,f4,f30,f29,f27,f413,f42,f45,f76,f807,f809,f820,f25,f11,f50,f60,f92,f1085,f1088,f1091,f1094,f20,f22,f23,f24,f44,f43]) ).
fof(f1128,plain,
( spl0_1
| spl0_19 ),
inference(avatar_contradiction_clause,[],[f1127]) ).
fof(f1127,plain,
( $false
| spl0_1
| spl0_19 ),
inference(global_subsumption,[],[f1,f2,f12,f58,f59,f61,f62,f63,f64,f65,f3,f69,f72,f73,f74,f80,f86,f89,f81,f47,f110,f119,f111,f121,f112,f124,f123,f113,f125,f114,f127,f117,f128,f115,f116,f43,f41,f39,f18,f9,f8,f6,f21,f16,f15,f13,f7,f35,f17,f14,f28,f26,f31,f32,f34,f36,f37,f40,f19,f5,f33,f38,f10,f4,f30,f29,f27,f413,f42,f45,f76,f807,f809,f820,f25,f11,f50,f60,f92,f1085,f1088,f1091,f1094,f20,f22,f23,f24,f44]) ).
fof(f1126,plain,
( spl0_1
| ~ spl0_8
| spl0_19 ),
inference(avatar_contradiction_clause,[],[f1125]) ).
fof(f1125,plain,
( $false
| spl0_1
| ~ spl0_8
| spl0_19 ),
inference(global_subsumption,[],[f818,f1,f2,f12,f58,f59,f61,f62,f63,f64,f65,f3,f69,f72,f73,f74,f80,f86,f89,f81,f47,f110,f119,f111,f121,f112,f124,f123,f113,f125,f114,f127,f117,f128,f115,f116,f44,f43,f41,f39,f18,f9,f8,f6,f21,f16,f15,f13,f7,f35,f17,f14,f28,f26,f31,f32,f34,f36,f37,f40,f19,f5,f33,f38,f10,f4,f30,f29,f27,f413,f42,f45,f76,f807,f809,f820,f25,f11,f50,f60,f92,f1085,f1088,f1091,f1094,f20,f22,f23,f24]) ).
fof(f1124,plain,
( spl0_1
| ~ spl0_12
| spl0_19 ),
inference(avatar_contradiction_clause,[],[f1123]) ).
fof(f1123,plain,
( $false
| spl0_1
| ~ spl0_12
| spl0_19 ),
inference(global_subsumption,[],[f819,f1,f2,f12,f58,f59,f61,f62,f63,f64,f65,f3,f69,f72,f73,f74,f80,f86,f89,f81,f47,f110,f119,f111,f121,f112,f124,f123,f113,f125,f114,f127,f117,f128,f115,f116,f44,f43,f41,f39,f18,f9,f8,f6,f21,f16,f15,f13,f7,f35,f17,f14,f28,f26,f31,f32,f34,f36,f37,f40,f19,f5,f33,f38,f10,f4,f30,f29,f27,f413,f42,f45,f76,f807,f809,f820,f25,f11,f50,f60,f92,f1085,f1088,f1091,f1094,f20,f22,f23,f24]) ).
fof(f1122,plain,
( spl0_1
| ~ spl0_8
| spl0_19 ),
inference(avatar_contradiction_clause,[],[f1121]) ).
fof(f1121,plain,
( $false
| spl0_1
| ~ spl0_8
| spl0_19 ),
inference(global_subsumption,[],[f828,f1,f2,f12,f58,f59,f61,f62,f63,f64,f65,f3,f69,f72,f73,f74,f80,f86,f89,f81,f47,f110,f119,f111,f121,f112,f124,f123,f113,f125,f114,f127,f117,f128,f115,f116,f44,f43,f41,f39,f18,f9,f8,f6,f21,f16,f15,f13,f7,f35,f17,f14,f28,f26,f31,f32,f34,f36,f37,f40,f19,f5,f33,f38,f10,f4,f30,f29,f27,f413,f42,f45,f76,f807,f809,f820,f25,f11,f50,f60,f92,f1085,f1088,f1091,f1094,f20,f22,f23,f24]) ).
fof(f1120,plain,
( spl0_1
| ~ spl0_12
| spl0_19 ),
inference(avatar_contradiction_clause,[],[f1119]) ).
fof(f1119,plain,
( $false
| spl0_1
| ~ spl0_12
| spl0_19 ),
inference(global_subsumption,[],[f829,f1,f2,f12,f58,f59,f61,f62,f63,f64,f65,f3,f69,f72,f73,f74,f80,f86,f89,f81,f47,f110,f119,f111,f121,f112,f124,f123,f113,f125,f114,f127,f117,f128,f115,f116,f44,f43,f41,f39,f18,f9,f8,f6,f21,f16,f15,f13,f7,f35,f17,f14,f28,f26,f31,f32,f34,f36,f37,f40,f19,f5,f33,f38,f10,f4,f30,f29,f27,f413,f42,f45,f76,f807,f809,f820,f25,f11,f50,f60,f92,f1085,f1088,f1091,f1094,f20,f22,f23,f24]) ).
fof(f1118,plain,
( spl0_1
| ~ spl0_5
| spl0_19 ),
inference(avatar_contradiction_clause,[],[f1117]) ).
fof(f1117,plain,
( $false
| spl0_1
| ~ spl0_5
| spl0_19 ),
inference(global_subsumption,[],[f102,f1,f2,f12,f58,f59,f61,f62,f63,f64,f65,f3,f69,f72,f73,f74,f80,f86,f89,f81,f47,f110,f119,f111,f121,f112,f124,f123,f113,f125,f114,f127,f117,f128,f115,f116,f44,f43,f41,f39,f18,f9,f8,f6,f21,f16,f15,f13,f7,f35,f17,f14,f28,f26,f31,f32,f34,f36,f37,f40,f19,f5,f33,f38,f10,f4,f30,f29,f27,f413,f42,f45,f76,f807,f809,f820,f25,f11,f50,f60,f92,f1085,f1088,f1091,f1094,f20,f22,f23,f24]) ).
fof(f1116,plain,
( spl0_1
| spl0_16
| spl0_19 ),
inference(avatar_contradiction_clause,[],[f1115]) ).
fof(f1115,plain,
( $false
| spl0_1
| spl0_16
| spl0_19 ),
inference(global_subsumption,[],[f1114,f1,f2,f12,f58,f59,f61,f62,f63,f64,f65,f3,f69,f72,f73,f74,f80,f86,f89,f81,f47,f110,f119,f111,f121,f112,f124,f123,f113,f125,f114,f127,f117,f128,f115,f116,f44,f43,f41,f39,f18,f9,f8,f6,f21,f16,f15,f13,f7,f35,f17,f14,f28,f26,f31,f32,f34,f36,f37,f40,f19,f5,f33,f38,f10,f4,f30,f29,f27,f413,f42,f45,f76,f807,f809,f820,f25,f11,f50,f60,f92,f1085,f1088,f1091,f1094,f20,f22,f23,f24]) ).
fof(f1114,plain,
( sk_c8 = inverse(sk_c6)
| spl0_16 ),
inference(subsumption_resolution,[],[f10,f377]) ).
fof(f377,plain,
( multiply(sk_c1,sk_c10) != sk_c9
| spl0_16 ),
inference(avatar_component_clause,[],[f376]) ).
fof(f1113,plain,
( spl0_1
| spl0_19 ),
inference(avatar_contradiction_clause,[],[f1112]) ).
fof(f1112,plain,
( $false
| spl0_1
| spl0_19 ),
inference(global_subsumption,[],[f1,f2,f12,f58,f59,f61,f62,f63,f64,f65,f3,f69,f72,f73,f74,f80,f86,f89,f81,f47,f110,f119,f111,f121,f112,f124,f123,f113,f125,f114,f127,f117,f128,f115,f116,f44,f43,f41,f39,f18,f9,f8,f6,f21,f16,f15,f13,f7,f35,f17,f14,f28,f26,f31,f32,f34,f36,f37,f40,f19,f5,f33,f38,f10,f4,f30,f29,f27,f413,f42,f45,f76,f807,f809,f820,f25,f11,f50,f60,f92,f1085,f1088,f1091,f1094,f20,f22,f23,f24]) ).
fof(f1111,plain,
( spl0_1
| spl0_19 ),
inference(avatar_contradiction_clause,[],[f1110]) ).
fof(f1110,plain,
( $false
| spl0_1
| spl0_19 ),
inference(global_subsumption,[],[f1,f2,f12,f58,f59,f61,f62,f63,f64,f65,f3,f69,f72,f73,f74,f80,f86,f89,f81,f47,f110,f119,f111,f121,f112,f124,f123,f113,f125,f114,f127,f117,f128,f115,f116,f44,f43,f41,f39,f18,f9,f8,f6,f21,f16,f15,f13,f7,f35,f17,f14,f28,f26,f31,f24,f32,f34,f36,f37,f40,f19,f5,f33,f38,f10,f4,f30,f29,f27,f413,f42,f45,f76,f807,f809,f820,f25,f11,f50,f60,f92,f1085,f1088,f1091,f1094,f20,f22,f23]) ).
fof(f1109,plain,
( spl0_1
| spl0_19 ),
inference(avatar_contradiction_clause,[],[f1108]) ).
fof(f1108,plain,
( $false
| spl0_1
| spl0_19 ),
inference(global_subsumption,[],[f1,f2,f12,f58,f59,f61,f62,f63,f64,f65,f3,f69,f72,f73,f74,f80,f86,f89,f81,f47,f110,f119,f111,f121,f112,f124,f123,f113,f125,f114,f127,f117,f128,f115,f116,f44,f43,f41,f39,f23,f18,f9,f8,f6,f21,f16,f15,f13,f7,f35,f17,f14,f28,f26,f31,f24,f32,f34,f36,f37,f40,f19,f5,f33,f38,f10,f4,f30,f29,f27,f413,f42,f45,f76,f807,f809,f820,f25,f11,f50,f60,f92,f1085,f1088,f1091,f1094,f20,f22]) ).
fof(f1107,plain,
( spl0_1
| spl0_19 ),
inference(avatar_contradiction_clause,[],[f1106]) ).
fof(f1106,plain,
( $false
| spl0_1
| spl0_19 ),
inference(global_subsumption,[],[f1,f2,f12,f58,f59,f61,f62,f63,f64,f65,f3,f69,f72,f73,f74,f80,f86,f89,f81,f47,f110,f119,f111,f121,f112,f124,f123,f113,f125,f114,f127,f117,f128,f115,f116,f44,f43,f41,f39,f23,f22,f18,f9,f8,f6,f21,f16,f15,f13,f7,f35,f17,f14,f28,f26,f31,f24,f32,f34,f36,f37,f40,f19,f5,f33,f38,f10,f4,f30,f29,f27,f413,f42,f45,f76,f807,f809,f820,f25,f11,f50,f60,f92,f1085,f1088,f1091,f1094,f20]) ).
fof(f1105,plain,
( spl0_1
| spl0_16
| spl0_19 ),
inference(avatar_contradiction_clause,[],[f1104]) ).
fof(f1104,plain,
( $false
| spl0_1
| spl0_16
| spl0_19 ),
inference(global_subsumption,[],[f1103,f1,f2,f12,f58,f59,f61,f62,f63,f64,f65,f3,f69,f72,f73,f74,f80,f86,f89,f81,f47,f110,f119,f111,f121,f112,f124,f123,f113,f125,f114,f127,f117,f128,f115,f116,f44,f43,f41,f39,f23,f22,f20,f18,f9,f8,f6,f21,f16,f15,f13,f7,f35,f17,f14,f28,f26,f31,f24,f32,f34,f36,f37,f40,f19,f5,f33,f38,f10,f4,f30,f29,f27,f413,f42,f45,f76,f807,f809,f820,f25,f11,f50,f60,f92,f1085,f1088,f1091,f1094]) ).
fof(f1103,plain,
( sk_c7 = multiply(sk_c6,sk_c8)
| spl0_16 ),
inference(subsumption_resolution,[],[f9,f377]) ).
fof(f1102,plain,
( spl0_1
| spl0_16
| spl0_19 ),
inference(avatar_contradiction_clause,[],[f1101]) ).
fof(f1101,plain,
( $false
| spl0_1
| spl0_16
| spl0_19 ),
inference(global_subsumption,[],[f1100,f1,f2,f12,f58,f59,f61,f62,f63,f64,f65,f3,f69,f72,f73,f74,f80,f86,f89,f81,f47,f110,f119,f111,f121,f112,f124,f123,f113,f125,f114,f127,f117,f128,f115,f116,f44,f43,f41,f39,f23,f22,f20,f18,f9,f8,f6,f21,f16,f15,f13,f7,f35,f17,f14,f28,f26,f31,f24,f32,f34,f36,f37,f40,f19,f5,f33,f38,f10,f4,f30,f29,f27,f413,f42,f45,f76,f807,f809,f820,f25,f11,f50,f60,f92,f1085,f1088,f1091,f1094]) ).
fof(f1100,plain,
( sk_c9 = multiply(sk_c8,sk_c7)
| spl0_16 ),
inference(subsumption_resolution,[],[f8,f377]) ).
fof(f1099,plain,
( spl0_1
| spl0_16
| spl0_19 ),
inference(avatar_contradiction_clause,[],[f1098]) ).
fof(f1098,plain,
( $false
| spl0_1
| spl0_16
| spl0_19 ),
inference(global_subsumption,[],[f1097,f1,f2,f12,f58,f59,f61,f62,f63,f64,f65,f3,f69,f72,f73,f74,f80,f86,f89,f81,f47,f110,f119,f111,f121,f112,f124,f123,f113,f125,f114,f127,f117,f128,f115,f116,f44,f43,f41,f39,f23,f22,f20,f18,f9,f8,f6,f21,f16,f15,f13,f7,f35,f17,f14,f28,f26,f31,f24,f32,f34,f36,f37,f40,f19,f5,f33,f38,f10,f4,f30,f29,f27,f413,f42,f45,f76,f807,f809,f820,f25,f11,f50,f60,f92,f1085,f1088,f1091,f1094]) ).
fof(f1097,plain,
( sk_c9 = multiply(sk_c5,sk_c8)
| spl0_16 ),
inference(subsumption_resolution,[],[f6,f377]) ).
fof(f1096,plain,
( spl0_1
| spl0_19 ),
inference(avatar_contradiction_clause,[],[f1095]) ).
fof(f1095,plain,
( $false
| spl0_1
| spl0_19 ),
inference(global_subsumption,[],[f1,f2,f12,f58,f59,f61,f62,f63,f64,f65,f3,f69,f72,f73,f74,f80,f86,f89,f81,f47,f110,f119,f111,f121,f112,f124,f123,f113,f125,f114,f127,f117,f128,f115,f116,f44,f43,f41,f39,f23,f22,f20,f18,f9,f8,f6,f21,f16,f15,f13,f7,f35,f17,f14,f28,f26,f31,f24,f32,f34,f36,f37,f40,f19,f5,f33,f38,f10,f4,f30,f29,f27,f413,f42,f45,f76,f807,f809,f820,f25,f11,f50,f60,f92,f1085,f1088,f1091,f1094]) ).
fof(f1093,plain,
( spl0_1
| spl0_19 ),
inference(avatar_contradiction_clause,[],[f1092]) ).
fof(f1092,plain,
( $false
| spl0_1
| spl0_19 ),
inference(global_subsumption,[],[f1,f2,f12,f58,f59,f61,f62,f63,f64,f65,f3,f69,f72,f73,f74,f80,f86,f89,f81,f47,f110,f119,f111,f121,f112,f124,f123,f113,f125,f114,f127,f117,f128,f115,f116,f44,f43,f41,f39,f23,f22,f20,f18,f9,f8,f6,f21,f16,f15,f13,f7,f35,f17,f14,f28,f26,f31,f24,f32,f34,f36,f37,f40,f19,f5,f33,f38,f10,f4,f30,f29,f27,f413,f42,f45,f76,f807,f809,f820,f25,f11,f50,f60,f92,f1085,f1088,f1091]) ).
fof(f1090,plain,
( spl0_1
| spl0_19 ),
inference(avatar_contradiction_clause,[],[f1089]) ).
fof(f1089,plain,
( $false
| spl0_1
| spl0_19 ),
inference(global_subsumption,[],[f1,f2,f12,f58,f59,f61,f62,f63,f64,f65,f3,f69,f72,f73,f74,f80,f86,f89,f81,f47,f110,f119,f111,f121,f112,f124,f123,f113,f125,f114,f127,f117,f128,f115,f116,f44,f43,f41,f39,f23,f22,f20,f18,f9,f8,f6,f21,f16,f15,f13,f7,f35,f17,f14,f28,f26,f31,f24,f32,f34,f36,f37,f40,f19,f5,f33,f38,f10,f4,f30,f29,f27,f413,f42,f45,f76,f807,f809,f820,f25,f11,f50,f60,f92,f1085,f1088]) ).
fof(f1087,plain,
( spl0_1
| spl0_19 ),
inference(avatar_contradiction_clause,[],[f1086]) ).
fof(f1086,plain,
( $false
| spl0_1
| spl0_19 ),
inference(global_subsumption,[],[f1,f2,f12,f58,f59,f61,f62,f63,f64,f65,f3,f69,f72,f73,f74,f80,f86,f89,f81,f47,f110,f119,f111,f121,f112,f124,f123,f113,f125,f114,f127,f117,f128,f115,f116,f44,f43,f41,f39,f23,f22,f20,f18,f9,f8,f6,f21,f16,f15,f13,f7,f35,f17,f14,f28,f26,f31,f24,f32,f34,f36,f37,f40,f19,f5,f33,f38,f10,f4,f30,f29,f27,f413,f42,f45,f76,f807,f809,f820,f25,f11,f50,f60,f92,f1085]) ).
fof(f1084,plain,
( spl0_1
| spl0_19 ),
inference(avatar_contradiction_clause,[],[f1083]) ).
fof(f1083,plain,
( $false
| spl0_1
| spl0_19 ),
inference(global_subsumption,[],[f1,f2,f12,f58,f59,f61,f62,f63,f64,f65,f3,f69,f72,f73,f74,f80,f86,f89,f81,f47,f110,f119,f111,f121,f112,f124,f123,f113,f125,f114,f127,f117,f128,f115,f116,f44,f43,f41,f39,f23,f22,f20,f18,f9,f8,f6,f21,f16,f15,f13,f7,f35,f17,f14,f28,f26,f31,f24,f32,f34,f36,f37,f40,f19,f5,f33,f38,f10,f4,f30,f29,f27,f413,f42,f45,f76,f807,f809,f820,f25,f11,f50,f60,f92]) ).
fof(f1082,plain,
( spl0_1
| spl0_19 ),
inference(avatar_contradiction_clause,[],[f1081]) ).
fof(f1081,plain,
( $false
| spl0_1
| spl0_19 ),
inference(global_subsumption,[],[f1,f2,f12,f58,f59,f61,f62,f63,f64,f65,f3,f69,f72,f73,f74,f80,f86,f89,f81,f47,f92,f110,f119,f111,f121,f112,f124,f123,f113,f125,f114,f127,f117,f128,f115,f116,f44,f43,f41,f39,f23,f22,f20,f18,f9,f8,f6,f21,f16,f15,f13,f7,f35,f17,f14,f28,f26,f31,f24,f32,f34,f36,f37,f40,f19,f5,f33,f38,f10,f4,f30,f29,f27,f413,f42,f45,f76,f807,f809,f820,f25,f11,f50,f60]) ).
fof(f1078,plain,
( ~ spl0_5
| ~ spl0_18
| ~ spl0_19 ),
inference(avatar_contradiction_clause,[],[f1077]) ).
fof(f1077,plain,
( $false
| ~ spl0_5
| ~ spl0_18
| ~ spl0_19 ),
inference(subsumption_resolution,[],[f1076,f408]) ).
fof(f1076,plain,
( sk_c9 != inverse(identity)
| ~ spl0_5
| ~ spl0_18
| ~ spl0_19 ),
inference(subsumption_resolution,[],[f1071,f561]) ).
fof(f1071,plain,
( sk_c9 != multiply(sk_c9,sk_c9)
| sk_c9 != inverse(identity)
| ~ spl0_5
| ~ spl0_19 ),
inference(superposition,[],[f954,f1]) ).
fof(f1048,plain,
( spl0_2
| spl0_16 ),
inference(avatar_contradiction_clause,[],[f1047]) ).
fof(f1047,plain,
( $false
| spl0_2
| spl0_16 ),
inference(global_subsumption,[],[f1,f2,f12,f3,f47,f44,f43,f41,f39,f23,f22,f20,f18,f9,f8,f6,f21,f16,f15,f13,f11,f7,f35,f17,f14,f28,f26,f292,f295,f296,f297,f298,f299,f300,f301,f302,f303,f304,f305,f306,f307,f308,f31,f309,f293,f311,f294,f314,f24,f32,f34,f36,f37,f40,f19,f5,f33,f38,f10,f4,f30,f29,f27,f42,f45,f76,f807,f809,f820,f25,f377,f1039,f54]) ).
fof(f54,plain,
( sk_c10 != inverse(sk_c4)
| spl0_2 ),
inference(avatar_component_clause,[],[f53]) ).
fof(f1039,plain,
( sk_c10 = inverse(sk_c4)
| spl0_16 ),
inference(subsumption_resolution,[],[f5,f377]) ).
fof(f314,plain,
( ! [X0] : multiply(sk_c9,X0) = multiply(sk_c1,multiply(sk_c10,X0))
| spl0_2 ),
inference(superposition,[],[f3,f294]) ).
fof(f294,plain,
( multiply(sk_c1,sk_c10) = sk_c9
| spl0_2 ),
inference(global_subsumption,[],[f19,f40,f1,f2,f12,f3,f76,f47,f44,f43,f41,f39,f23,f22,f20,f18,f9,f8,f6,f4,f45,f42,f37,f36,f34,f32,f30,f29,f27,f25,f24,f21,f16,f15,f13,f11,f10,f7,f38,f35,f31,f17,f14,f28,f54,f26,f292,f33,f293,f5]) ).
fof(f311,plain,
( identity = multiply(sk_c8,sk_c3)
| spl0_2 ),
inference(superposition,[],[f2,f293]) ).
fof(f293,plain,
( sk_c8 = inverse(sk_c3)
| spl0_2 ),
inference(global_subsumption,[],[f19,f40,f1,f2,f12,f3,f76,f47,f44,f43,f41,f39,f23,f22,f20,f18,f9,f8,f6,f4,f45,f42,f37,f36,f34,f32,f30,f29,f27,f25,f24,f21,f16,f15,f13,f11,f10,f7,f38,f35,f31,f17,f14,f28,f5,f54,f26,f292,f33]) ).
fof(f309,plain,
( sk_c9 = inverse(sk_c2)
| spl0_2 ),
inference(global_subsumption,[],[f1,f2,f12,f3,f76,f47,f44,f43,f41,f39,f23,f22,f20,f18,f9,f8,f6,f4,f42,f21,f16,f15,f13,f11,f7,f35,f17,f14,f28,f54,f26,f292,f33,f293,f5,f294,f19,f295,f40,f296,f45,f297,f37,f298,f36,f299,f34,f300,f32,f301,f30,f302,f29,f303,f27,f304,f25,f305,f24,f306,f10,f307,f38,f308,f31]) ).
fof(f308,plain,
( sk_c8 = inverse(sk_c3)
| spl0_2 ),
inference(global_subsumption,[],[f1,f2,f12,f3,f76,f47,f44,f43,f41,f39,f23,f22,f20,f18,f9,f8,f6,f4,f42,f21,f16,f15,f13,f11,f7,f35,f31,f17,f14,f28,f54,f26,f292,f33,f293,f5,f294,f19,f295,f40,f296,f45,f297,f37,f298,f36,f299,f34,f300,f32,f301,f30,f302,f29,f303,f27,f304,f25,f305,f24,f306,f10,f307,f38]) ).
fof(f307,plain,
( multiply(sk_c1,sk_c10) = sk_c9
| spl0_2 ),
inference(global_subsumption,[],[f1,f2,f12,f3,f76,f47,f44,f43,f41,f39,f23,f22,f20,f18,f9,f8,f6,f4,f42,f21,f16,f15,f13,f11,f7,f38,f35,f31,f17,f14,f28,f54,f26,f292,f33,f293,f5,f294,f19,f295,f40,f296,f45,f297,f37,f298,f36,f299,f34,f300,f32,f301,f30,f302,f29,f303,f27,f304,f25,f305,f24,f306,f10]) ).
fof(f306,plain,
( sk_c8 = multiply(sk_c2,sk_c9)
| spl0_2 ),
inference(global_subsumption,[],[f1,f2,f12,f3,f76,f47,f44,f43,f41,f39,f23,f22,f20,f18,f9,f8,f6,f4,f42,f21,f16,f15,f13,f11,f10,f7,f38,f35,f31,f17,f14,f28,f54,f26,f292,f33,f293,f5,f294,f19,f295,f40,f296,f45,f297,f37,f298,f36,f299,f34,f300,f32,f301,f30,f302,f29,f303,f27,f304,f25,f305,f24]) ).
fof(f305,plain,
( sk_c9 = inverse(sk_c2)
| spl0_2 ),
inference(global_subsumption,[],[f1,f2,f12,f3,f76,f47,f44,f43,f41,f39,f23,f22,f20,f18,f9,f8,f6,f4,f42,f24,f21,f16,f15,f13,f11,f10,f7,f38,f35,f31,f17,f14,f28,f54,f26,f292,f33,f293,f5,f294,f19,f295,f40,f296,f45,f297,f37,f298,f36,f299,f34,f300,f32,f301,f30,f302,f29,f303,f27,f304,f25]) ).
fof(f304,plain,
( sk_c9 = inverse(sk_c2)
| spl0_2 ),
inference(global_subsumption,[],[f1,f2,f12,f3,f76,f47,f44,f43,f41,f39,f23,f22,f20,f18,f9,f8,f6,f4,f42,f25,f24,f21,f16,f15,f13,f11,f10,f7,f38,f35,f31,f17,f14,f28,f54,f26,f292,f33,f293,f5,f294,f19,f295,f40,f296,f45,f297,f37,f298,f36,f299,f34,f300,f32,f301,f30,f302,f29,f303,f27]) ).
fof(f303,plain,
( sk_c9 = inverse(sk_c2)
| spl0_2 ),
inference(global_subsumption,[],[f1,f2,f12,f3,f76,f47,f44,f43,f41,f39,f23,f22,f20,f18,f9,f8,f6,f4,f42,f27,f25,f24,f21,f16,f15,f13,f11,f10,f7,f38,f35,f31,f17,f14,f28,f54,f26,f292,f33,f293,f5,f294,f19,f295,f40,f296,f45,f297,f37,f298,f36,f299,f34,f300,f32,f301,f30,f302,f29]) ).
fof(f302,plain,
( sk_c9 = inverse(sk_c2)
| spl0_2 ),
inference(global_subsumption,[],[f1,f2,f12,f3,f76,f47,f44,f43,f41,f39,f23,f22,f20,f18,f9,f8,f6,f4,f42,f29,f27,f25,f24,f21,f16,f15,f13,f11,f10,f7,f38,f35,f31,f17,f14,f28,f54,f26,f292,f33,f293,f5,f294,f19,f295,f40,f296,f45,f297,f37,f298,f36,f299,f34,f300,f32,f301,f30]) ).
fof(f301,plain,
( sk_c8 = inverse(sk_c3)
| spl0_2 ),
inference(global_subsumption,[],[f1,f2,f12,f3,f76,f47,f44,f43,f41,f39,f23,f22,f20,f18,f9,f8,f6,f4,f42,f30,f29,f27,f25,f24,f21,f16,f15,f13,f11,f10,f7,f38,f35,f31,f17,f14,f28,f54,f26,f292,f33,f293,f5,f294,f19,f295,f40,f296,f45,f297,f37,f298,f36,f299,f34,f300,f32]) ).
fof(f300,plain,
( sk_c8 = inverse(sk_c3)
| spl0_2 ),
inference(global_subsumption,[],[f1,f2,f12,f3,f76,f47,f44,f43,f41,f39,f23,f22,f20,f18,f9,f8,f6,f4,f42,f32,f30,f29,f27,f25,f24,f21,f16,f15,f13,f11,f10,f7,f38,f35,f31,f17,f14,f28,f54,f26,f292,f33,f293,f5,f294,f19,f295,f40,f296,f45,f297,f37,f298,f36,f299,f34]) ).
fof(f299,plain,
( sk_c8 = inverse(sk_c3)
| spl0_2 ),
inference(global_subsumption,[],[f1,f2,f12,f3,f76,f47,f44,f43,f41,f39,f23,f22,f20,f18,f9,f8,f6,f4,f42,f34,f32,f30,f29,f27,f25,f24,f21,f16,f15,f13,f11,f10,f7,f38,f35,f31,f17,f14,f28,f54,f26,f292,f33,f293,f5,f294,f19,f295,f40,f296,f45,f297,f37,f298,f36]) ).
fof(f298,plain,
( sk_c8 = inverse(sk_c3)
| spl0_2 ),
inference(global_subsumption,[],[f1,f2,f12,f3,f76,f47,f44,f43,f41,f39,f23,f22,f20,f18,f9,f8,f6,f4,f42,f36,f34,f32,f30,f29,f27,f25,f24,f21,f16,f15,f13,f11,f10,f7,f38,f35,f31,f17,f14,f28,f54,f26,f292,f33,f293,f5,f294,f19,f295,f40,f296,f45,f297,f37]) ).
fof(f297,plain,
( sk_c8 = multiply(sk_c3,sk_c9)
| spl0_2 ),
inference(global_subsumption,[],[f1,f2,f12,f3,f76,f47,f44,f43,f41,f39,f23,f22,f20,f18,f9,f8,f6,f4,f42,f37,f36,f34,f32,f30,f29,f27,f25,f24,f21,f16,f15,f13,f11,f10,f7,f38,f35,f31,f17,f14,f28,f54,f26,f292,f33,f293,f5,f294,f19,f295,f40,f296,f45]) ).
fof(f296,plain,
( sk_c8 = multiply(sk_c3,sk_c9)
| spl0_2 ),
inference(global_subsumption,[],[f1,f2,f12,f3,f76,f47,f44,f43,f41,f39,f23,f22,f20,f18,f9,f8,f6,f4,f45,f42,f37,f36,f34,f32,f30,f29,f27,f25,f24,f21,f16,f15,f13,f11,f10,f7,f38,f35,f31,f17,f14,f28,f54,f26,f292,f33,f293,f5,f294,f19,f295,f40]) ).
fof(f295,plain,
( sk_c8 = multiply(sk_c2,sk_c9)
| spl0_2 ),
inference(global_subsumption,[],[f40,f1,f2,f12,f3,f76,f47,f44,f43,f41,f39,f23,f22,f20,f18,f9,f8,f6,f4,f45,f42,f37,f36,f34,f32,f30,f29,f27,f25,f24,f21,f16,f15,f13,f11,f10,f7,f38,f35,f31,f17,f14,f28,f54,f26,f292,f33,f293,f5,f294,f19]) ).
fof(f292,plain,
( sk_c9 = inverse(sk_c2)
| spl0_2 ),
inference(global_subsumption,[],[f33,f19,f40,f1,f2,f12,f3,f76,f47,f44,f43,f41,f39,f23,f22,f20,f18,f9,f8,f6,f4,f45,f42,f37,f36,f34,f32,f30,f29,f27,f25,f24,f21,f16,f15,f13,f11,f10,f7,f38,f35,f31,f17,f14,f28,f5,f54,f26]) ).
fof(f1044,plain,
( spl0_2
| spl0_16
| ~ spl0_19 ),
inference(avatar_contradiction_clause,[],[f1043]) ).
fof(f1043,plain,
( $false
| spl0_2
| spl0_16
| ~ spl0_19 ),
inference(global_subsumption,[],[f1042,f1,f2,f12,f3,f47,f44,f43,f41,f39,f23,f22,f20,f18,f9,f8,f6,f21,f16,f15,f13,f11,f7,f35,f17,f14,f28,f26,f292,f295,f296,f297,f298,f299,f300,f301,f302,f303,f304,f305,f306,f307,f308,f31,f309,f54,f293,f311,f294,f314,f24,f32,f34,f36,f37,f40,f19,f5,f33,f38,f10,f4,f30,f29,f27,f42,f45,f76,f807,f809,f820,f25,f377,f1039]) ).
fof(f1041,plain,
( spl0_2
| spl0_16 ),
inference(avatar_contradiction_clause,[],[f1040]) ).
fof(f1040,plain,
( $false
| spl0_2
| spl0_16 ),
inference(global_subsumption,[],[f1,f2,f12,f3,f47,f44,f43,f41,f39,f23,f22,f20,f18,f9,f8,f6,f21,f16,f15,f13,f11,f7,f35,f17,f14,f28,f26,f292,f295,f296,f297,f298,f299,f300,f301,f302,f303,f304,f305,f306,f307,f308,f31,f309,f54,f293,f311,f294,f314,f24,f32,f34,f36,f37,f40,f19,f5,f33,f38,f10,f4,f30,f29,f27,f42,f45,f76,f807,f809,f820,f25,f377,f1039]) ).
fof(f1038,plain,
( spl0_2
| spl0_16
| ~ spl0_17 ),
inference(avatar_contradiction_clause,[],[f1037]) ).
fof(f1037,plain,
( $false
| spl0_2
| spl0_16
| ~ spl0_17 ),
inference(global_subsumption,[],[f382,f1,f2,f12,f3,f47,f44,f43,f41,f39,f23,f22,f20,f18,f9,f8,f6,f21,f16,f15,f13,f11,f7,f35,f17,f14,f28,f26,f292,f295,f296,f297,f298,f299,f300,f301,f302,f303,f304,f305,f306,f307,f308,f31,f309,f54,f293,f311,f294,f314,f24,f32,f34,f36,f37,f40,f19,f5,f33,f38,f10,f4,f30,f29,f27,f42,f45,f76,f807,f809,f820,f25,f377]) ).
fof(f1036,plain,
( ~ spl0_1
| ~ spl0_2
| spl0_16
| ~ spl0_17 ),
inference(avatar_contradiction_clause,[],[f1035]) ).
fof(f1035,plain,
( $false
| ~ spl0_1
| ~ spl0_2
| spl0_16
| ~ spl0_17 ),
inference(subsumption_resolution,[],[f1034,f377]) ).
fof(f1034,plain,
( multiply(sk_c1,sk_c10) = sk_c9
| ~ spl0_1
| ~ spl0_2
| ~ spl0_17 ),
inference(forward_demodulation,[],[f382,f959]) ).
fof(f959,plain,
( sk_c1 = sk_c4
| ~ spl0_1
| ~ spl0_2 ),
inference(forward_demodulation,[],[f826,f821]) ).
fof(f826,plain,
( sk_c4 = multiply(inverse(sk_c10),identity)
| ~ spl0_2 ),
inference(superposition,[],[f76,f322]) ).
fof(f1019,plain,
( spl0_15
| ~ spl0_19
| ~ spl0_23 ),
inference(avatar_contradiction_clause,[],[f1018]) ).
fof(f1018,plain,
( $false
| spl0_15
| ~ spl0_19
| ~ spl0_23 ),
inference(global_subsumption,[],[f1,f2,f12,f3,f47,f44,f43,f41,f39,f23,f22,f20,f18,f9,f8,f6,f21,f16,f15,f13,f11,f7,f35,f17,f14,f28,f26,f31,f24,f32,f34,f36,f37,f40,f19,f5,f33,f38,f10,f4,f30,f29,f27,f42,f45,f412,f76,f807,f809,f820,f430,f885,f882,f985,f25,f1004,f1011,f361]) ).
fof(f1017,plain,
( spl0_15
| spl0_16
| ~ spl0_19
| ~ spl0_23 ),
inference(avatar_contradiction_clause,[],[f1016]) ).
fof(f1016,plain,
( $false
| spl0_15
| spl0_16
| ~ spl0_19
| ~ spl0_23 ),
inference(global_subsumption,[],[f377,f1,f2,f12,f3,f47,f44,f43,f41,f39,f23,f22,f20,f18,f9,f8,f6,f21,f16,f15,f13,f11,f7,f35,f17,f14,f28,f26,f31,f24,f32,f34,f36,f37,f40,f19,f5,f33,f38,f361,f10,f4,f30,f29,f27,f42,f45,f412,f76,f807,f809,f820,f430,f885,f882,f985,f25,f1004,f1011]) ).
fof(f1013,plain,
( spl0_15
| ~ spl0_19
| ~ spl0_23 ),
inference(avatar_contradiction_clause,[],[f1012]) ).
fof(f1012,plain,
( $false
| spl0_15
| ~ spl0_19
| ~ spl0_23 ),
inference(global_subsumption,[],[f1,f2,f12,f3,f47,f44,f43,f41,f39,f23,f22,f20,f18,f9,f8,f6,f21,f16,f15,f13,f11,f7,f35,f17,f14,f28,f26,f31,f24,f32,f34,f36,f37,f40,f19,f5,f33,f38,f361,f10,f4,f30,f29,f27,f42,f45,f412,f76,f807,f809,f820,f430,f885,f882,f985,f25,f1004,f1011]) ).
fof(f1010,plain,
( ~ spl0_9
| spl0_15
| ~ spl0_19
| ~ spl0_23 ),
inference(avatar_contradiction_clause,[],[f1009]) ).
fof(f1009,plain,
( $false
| ~ spl0_9
| spl0_15
| ~ spl0_19
| ~ spl0_23 ),
inference(global_subsumption,[],[f191,f1,f2,f12,f3,f47,f44,f43,f41,f39,f23,f22,f20,f18,f9,f8,f6,f21,f16,f15,f13,f11,f7,f35,f17,f14,f28,f26,f31,f24,f32,f34,f36,f37,f40,f19,f5,f33,f38,f361,f10,f4,f30,f29,f27,f42,f45,f412,f76,f807,f809,f820,f430,f885,f882,f985,f25,f1004]) ).
fof(f1006,plain,
( spl0_15
| ~ spl0_19
| ~ spl0_23 ),
inference(avatar_contradiction_clause,[],[f1005]) ).
fof(f1005,plain,
( $false
| spl0_15
| ~ spl0_19
| ~ spl0_23 ),
inference(global_subsumption,[],[f1,f2,f12,f3,f47,f44,f43,f41,f39,f23,f22,f20,f18,f9,f8,f6,f21,f16,f15,f13,f11,f7,f35,f17,f14,f28,f26,f31,f24,f32,f34,f36,f37,f40,f19,f5,f33,f38,f361,f10,f4,f30,f29,f27,f42,f45,f412,f76,f807,f809,f820,f430,f885,f882,f985,f25,f1004]) ).
fof(f1003,plain,
( ~ spl0_13
| spl0_15
| ~ spl0_18
| ~ spl0_19
| ~ spl0_23 ),
inference(avatar_contradiction_clause,[],[f1002]) ).
fof(f1002,plain,
( $false
| ~ spl0_13
| spl0_15
| ~ spl0_18
| ~ spl0_19
| ~ spl0_23 ),
inference(global_subsumption,[],[f1001,f1,f2,f12,f3,f47,f44,f43,f41,f39,f23,f22,f20,f18,f9,f8,f6,f21,f16,f15,f13,f11,f7,f35,f17,f14,f28,f26,f31,f24,f32,f34,f36,f37,f40,f19,f5,f33,f38,f361,f10,f4,f30,f29,f27,f42,f45,f412,f76,f807,f809,f820,f430,f885,f882,f985,f25]) ).
fof(f1001,plain,
( sk_c9 = sk_c7
| sk_c9 = inverse(sk_c2)
| ~ spl0_13
| ~ spl0_18
| ~ spl0_19 ),
inference(forward_demodulation,[],[f1000,f1]) ).
fof(f1000,plain,
( sk_c7 = multiply(identity,sk_c9)
| sk_c9 = inverse(sk_c2)
| ~ spl0_13
| ~ spl0_18
| ~ spl0_19 ),
inference(forward_demodulation,[],[f999,f566]) ).
fof(f999,plain,
( sk_c7 = multiply(sk_c6,sk_c9)
| sk_c9 = inverse(sk_c2)
| ~ spl0_19 ),
inference(forward_demodulation,[],[f30,f412]) ).
fof(f998,plain,
( spl0_15
| ~ spl0_19
| ~ spl0_23 ),
inference(avatar_contradiction_clause,[],[f997]) ).
fof(f997,plain,
( $false
| spl0_15
| ~ spl0_19
| ~ spl0_23 ),
inference(global_subsumption,[],[f1,f2,f12,f3,f47,f44,f43,f41,f39,f23,f22,f20,f18,f9,f8,f6,f21,f16,f15,f13,f11,f7,f35,f17,f14,f28,f26,f31,f24,f32,f34,f36,f37,f40,f19,f5,f33,f38,f361,f10,f4,f30,f29,f27,f42,f45,f412,f76,f807,f809,f820,f430,f885,f882,f985,f25]) ).
fof(f996,plain,
( ~ spl0_2
| spl0_15
| ~ spl0_17
| ~ spl0_19
| ~ spl0_23 ),
inference(avatar_contradiction_clause,[],[f995]) ).
fof(f995,plain,
( $false
| ~ spl0_2
| spl0_15
| ~ spl0_17
| ~ spl0_19
| ~ spl0_23 ),
inference(global_subsumption,[],[f391,f1,f2,f12,f3,f47,f44,f43,f41,f39,f23,f22,f20,f18,f9,f8,f6,f21,f16,f15,f13,f11,f7,f35,f17,f14,f28,f26,f25,f31,f24,f32,f34,f36,f37,f40,f19,f5,f33,f38,f361,f10,f4,f30,f29,f27,f42,f45,f412,f76,f807,f809,f820,f430,f885,f882,f985]) ).
fof(f391,plain,
( sk_c10 = multiply(sk_c10,sk_c9)
| ~ spl0_2
| ~ spl0_17 ),
inference(superposition,[],[f326,f382]) ).
fof(f326,plain,
( ! [X0] : multiply(sk_c10,multiply(sk_c4,X0)) = X0
| ~ spl0_2 ),
inference(forward_demodulation,[],[f325,f1]) ).
fof(f325,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c10,multiply(sk_c4,X0))
| ~ spl0_2 ),
inference(superposition,[],[f3,f322]) ).
fof(f994,plain,
( spl0_15
| ~ spl0_17
| ~ spl0_19
| ~ spl0_23 ),
inference(avatar_contradiction_clause,[],[f993]) ).
fof(f993,plain,
( $false
| spl0_15
| ~ spl0_17
| ~ spl0_19
| ~ spl0_23 ),
inference(global_subsumption,[],[f382,f1,f2,f12,f3,f47,f44,f43,f41,f39,f23,f22,f20,f18,f9,f8,f6,f21,f16,f15,f13,f11,f7,f35,f17,f14,f28,f26,f25,f31,f24,f32,f34,f36,f37,f40,f19,f5,f33,f38,f361,f10,f4,f30,f29,f27,f42,f45,f412,f76,f807,f809,f820,f430,f885,f882,f985]) ).
fof(f992,plain,
( ~ spl0_13
| spl0_15
| ~ spl0_18
| ~ spl0_19
| ~ spl0_23 ),
inference(avatar_contradiction_clause,[],[f991]) ).
fof(f991,plain,
( $false
| ~ spl0_13
| spl0_15
| ~ spl0_18
| ~ spl0_19
| ~ spl0_23 ),
inference(global_subsumption,[],[f990,f1,f2,f12,f3,f47,f44,f43,f41,f39,f23,f22,f20,f18,f9,f8,f6,f21,f16,f15,f13,f11,f7,f35,f17,f14,f28,f26,f25,f31,f24,f32,f34,f36,f37,f40,f19,f5,f33,f38,f361,f10,f4,f30,f29,f27,f42,f45,f412,f76,f807,f809,f820,f430,f885,f882,f985]) ).
fof(f990,plain,
( sk_c9 = sk_c7
| multiply(sk_c1,sk_c10) = sk_c9
| ~ spl0_13
| ~ spl0_18
| ~ spl0_19 ),
inference(forward_demodulation,[],[f989,f1]) ).
fof(f989,plain,
( sk_c7 = multiply(identity,sk_c9)
| multiply(sk_c1,sk_c10) = sk_c9
| ~ spl0_13
| ~ spl0_18
| ~ spl0_19 ),
inference(forward_demodulation,[],[f988,f566]) ).
fof(f988,plain,
( sk_c7 = multiply(sk_c6,sk_c9)
| multiply(sk_c1,sk_c10) = sk_c9
| ~ spl0_19 ),
inference(forward_demodulation,[],[f9,f412]) ).
fof(f987,plain,
( spl0_15
| ~ spl0_19
| ~ spl0_23 ),
inference(avatar_contradiction_clause,[],[f986]) ).
fof(f986,plain,
( $false
| spl0_15
| ~ spl0_19
| ~ spl0_23 ),
inference(global_subsumption,[],[f1,f2,f12,f3,f47,f44,f43,f41,f39,f23,f22,f20,f18,f9,f8,f6,f21,f16,f15,f13,f11,f7,f35,f17,f14,f28,f26,f25,f31,f24,f32,f34,f36,f37,f40,f19,f5,f33,f38,f361,f10,f4,f30,f29,f27,f42,f45,f412,f76,f807,f809,f820,f430,f885,f882,f985]) ).
fof(f982,plain,
( spl0_15
| ~ spl0_18
| ~ spl0_19
| ~ spl0_23 ),
inference(avatar_contradiction_clause,[],[f981]) ).
fof(f981,plain,
( $false
| spl0_15
| ~ spl0_18
| ~ spl0_19
| ~ spl0_23 ),
inference(global_subsumption,[],[f980,f1,f2,f12,f3,f47,f44,f43,f41,f39,f23,f22,f20,f18,f9,f8,f6,f21,f16,f15,f13,f11,f7,f35,f17,f14,f28,f26,f25,f31,f24,f32,f34,f36,f37,f40,f19,f5,f33,f38,f361,f10,f4,f30,f29,f27,f42,f45,f412,f76,f807,f809,f820,f430,f885,f882]) ).
fof(f980,plain,
( sk_c9 = multiply(sk_c2,sk_c9)
| sk_c9 = sk_c7
| ~ spl0_18
| ~ spl0_19 ),
inference(forward_demodulation,[],[f979,f412]) ).
fof(f979,plain,
( sk_c9 = sk_c7
| sk_c8 = multiply(sk_c2,sk_c9)
| ~ spl0_18
| ~ spl0_19 ),
inference(forward_demodulation,[],[f978,f561]) ).
fof(f978,plain,
( sk_c9 = multiply(sk_c9,sk_c7)
| sk_c8 = multiply(sk_c2,sk_c9)
| ~ spl0_19 ),
inference(forward_demodulation,[],[f22,f412]) ).
fof(f977,plain,
( ~ spl0_13
| spl0_15
| ~ spl0_18
| ~ spl0_19
| ~ spl0_23 ),
inference(avatar_contradiction_clause,[],[f976]) ).
fof(f976,plain,
( $false
| ~ spl0_13
| spl0_15
| ~ spl0_18
| ~ spl0_19
| ~ spl0_23 ),
inference(global_subsumption,[],[f975,f1,f2,f12,f3,f47,f44,f43,f41,f39,f23,f22,f20,f18,f9,f8,f6,f21,f16,f15,f13,f11,f7,f35,f17,f14,f28,f26,f25,f31,f24,f32,f34,f36,f37,f40,f19,f5,f33,f38,f361,f10,f4,f30,f29,f27,f42,f45,f412,f76,f807,f809,f820,f430,f885,f882]) ).
fof(f975,plain,
( sk_c9 = multiply(sk_c2,sk_c9)
| sk_c9 = sk_c7
| ~ spl0_13
| ~ spl0_18
| ~ spl0_19 ),
inference(forward_demodulation,[],[f974,f412]) ).
fof(f974,plain,
( sk_c9 = sk_c7
| sk_c8 = multiply(sk_c2,sk_c9)
| ~ spl0_13
| ~ spl0_18
| ~ spl0_19 ),
inference(forward_demodulation,[],[f973,f1]) ).
fof(f973,plain,
( sk_c7 = multiply(identity,sk_c9)
| sk_c8 = multiply(sk_c2,sk_c9)
| ~ spl0_13
| ~ spl0_18
| ~ spl0_19 ),
inference(forward_demodulation,[],[f972,f566]) ).
fof(f972,plain,
( sk_c7 = multiply(sk_c6,sk_c9)
| sk_c8 = multiply(sk_c2,sk_c9)
| ~ spl0_19 ),
inference(forward_demodulation,[],[f23,f412]) ).
fof(f963,plain,
( ~ spl0_2
| spl0_15
| ~ spl0_19
| ~ spl0_23 ),
inference(avatar_contradiction_clause,[],[f962]) ).
fof(f962,plain,
( $false
| ~ spl0_2
| spl0_15
| ~ spl0_19
| ~ spl0_23 ),
inference(global_subsumption,[],[f814,f1,f2,f12,f3,f47,f44,f43,f41,f39,f23,f22,f20,f18,f9,f8,f6,f21,f16,f15,f13,f11,f7,f35,f17,f14,f28,f26,f25,f31,f24,f32,f34,f36,f37,f40,f19,f5,f33,f38,f361,f10,f4,f30,f29,f27,f42,f45,f412,f76,f807,f809,f820,f430,f885,f882]) ).
fof(f814,plain,
( ! [X0] : multiply(sk_c4,X0) = multiply(inverse(sk_c10),X0)
| ~ spl0_2 ),
inference(superposition,[],[f76,f326]) ).
fof(f961,plain,
( ~ spl0_1
| ~ spl0_2
| spl0_15
| ~ spl0_19
| ~ spl0_23 ),
inference(avatar_contradiction_clause,[],[f960]) ).
fof(f960,plain,
( $false
| ~ spl0_1
| ~ spl0_2
| spl0_15
| ~ spl0_19
| ~ spl0_23 ),
inference(global_subsumption,[],[f959,f1,f2,f12,f3,f47,f44,f43,f41,f39,f23,f22,f20,f18,f9,f8,f6,f21,f16,f15,f13,f11,f7,f35,f17,f14,f28,f26,f25,f31,f24,f32,f34,f36,f37,f40,f19,f5,f33,f38,f361,f10,f4,f30,f29,f27,f42,f45,f412,f76,f807,f809,f820,f430,f885,f882]) ).
fof(f958,plain,
( spl0_15
| ~ spl0_19
| ~ spl0_23 ),
inference(avatar_contradiction_clause,[],[f957]) ).
fof(f957,plain,
( $false
| spl0_15
| ~ spl0_19
| ~ spl0_23 ),
inference(global_subsumption,[],[f1,f2,f12,f3,f47,f44,f43,f41,f39,f23,f22,f20,f18,f9,f8,f6,f21,f16,f15,f13,f11,f7,f35,f17,f14,f28,f26,f25,f31,f24,f32,f34,f36,f37,f40,f19,f5,f33,f38,f361,f10,f4,f30,f29,f27,f42,f45,f412,f76,f807,f809,f820,f430,f885,f882]) ).
fof(f956,plain,
( spl0_15
| ~ spl0_19
| ~ spl0_23 ),
inference(avatar_contradiction_clause,[],[f955]) ).
fof(f955,plain,
( $false
| spl0_15
| ~ spl0_19
| ~ spl0_23 ),
inference(global_subsumption,[],[f1,f2,f12,f3,f47,f44,f43,f41,f39,f23,f22,f20,f18,f9,f8,f6,f21,f16,f15,f13,f11,f7,f35,f17,f14,f28,f26,f25,f31,f24,f32,f34,f36,f37,f40,f19,f5,f33,f38,f361,f10,f4,f30,f29,f27,f42,f45,f412,f76,f807,f809,f820,f430,f885]) ).
fof(f953,plain,
( ~ spl0_5
| ~ spl0_15
| ~ spl0_18
| ~ spl0_19
| ~ spl0_22 ),
inference(avatar_contradiction_clause,[],[f952]) ).
fof(f952,plain,
( $false
| ~ spl0_5
| ~ spl0_15
| ~ spl0_18
| ~ spl0_19
| ~ spl0_22 ),
inference(subsumption_resolution,[],[f951,f904]) ).
fof(f904,plain,
( identity = inverse(identity)
| ~ spl0_15
| ~ spl0_18
| ~ spl0_22 ),
inference(forward_demodulation,[],[f903,f360]) ).
fof(f903,plain,
( identity = inverse(sk_c9)
| ~ spl0_15
| ~ spl0_18
| ~ spl0_22 ),
inference(forward_demodulation,[],[f902,f408]) ).
fof(f951,plain,
( identity != inverse(identity)
| ~ spl0_5
| ~ spl0_15
| ~ spl0_18
| ~ spl0_19 ),
inference(forward_demodulation,[],[f950,f360]) ).
fof(f950,plain,
( identity != inverse(sk_c9)
| ~ spl0_5
| ~ spl0_15
| ~ spl0_18
| ~ spl0_19 ),
inference(subsumption_resolution,[],[f933,f1]) ).
fof(f933,plain,
( identity != multiply(identity,identity)
| identity != inverse(sk_c9)
| ~ spl0_5
| ~ spl0_15
| ~ spl0_18
| ~ spl0_19 ),
inference(superposition,[],[f898,f561]) ).
fof(f949,plain,
( ~ spl0_5
| ~ spl0_15
| ~ spl0_18
| ~ spl0_19
| ~ spl0_22 ),
inference(avatar_contradiction_clause,[],[f948]) ).
fof(f948,plain,
( $false
| ~ spl0_5
| ~ spl0_15
| ~ spl0_18
| ~ spl0_19
| ~ spl0_22 ),
inference(subsumption_resolution,[],[f947,f904]) ).
fof(f947,plain,
( identity != inverse(identity)
| ~ spl0_5
| ~ spl0_15
| ~ spl0_18
| ~ spl0_19 ),
inference(forward_demodulation,[],[f946,f360]) ).
fof(f946,plain,
( identity != inverse(sk_c9)
| ~ spl0_5
| ~ spl0_15
| ~ spl0_18
| ~ spl0_19 ),
inference(forward_demodulation,[],[f945,f408]) ).
fof(f945,plain,
( identity != inverse(inverse(identity))
| ~ spl0_5
| ~ spl0_15
| ~ spl0_19 ),
inference(subsumption_resolution,[],[f932,f1]) ).
fof(f932,plain,
( identity != multiply(identity,identity)
| identity != inverse(inverse(identity))
| ~ spl0_5
| ~ spl0_15
| ~ spl0_19 ),
inference(superposition,[],[f898,f2]) ).
fof(f944,plain,
( ~ spl0_5
| ~ spl0_15
| ~ spl0_18
| ~ spl0_19
| ~ spl0_22 ),
inference(avatar_contradiction_clause,[],[f943]) ).
fof(f943,plain,
( $false
| ~ spl0_5
| ~ spl0_15
| ~ spl0_18
| ~ spl0_19
| ~ spl0_22 ),
inference(subsumption_resolution,[],[f942,f904]) ).
fof(f941,plain,
( ~ spl0_5
| ~ spl0_15
| ~ spl0_18
| ~ spl0_19
| ~ spl0_22 ),
inference(avatar_contradiction_clause,[],[f940]) ).
fof(f940,plain,
( $false
| ~ spl0_5
| ~ spl0_15
| ~ spl0_18
| ~ spl0_19
| ~ spl0_22 ),
inference(subsumption_resolution,[],[f939,f904]) ).
fof(f939,plain,
( identity != inverse(identity)
| ~ spl0_5
| ~ spl0_15
| ~ spl0_18
| ~ spl0_19 ),
inference(forward_demodulation,[],[f938,f360]) ).
fof(f938,plain,
( identity != inverse(sk_c9)
| ~ spl0_5
| ~ spl0_15
| ~ spl0_18
| ~ spl0_19 ),
inference(subsumption_resolution,[],[f930,f1]) ).
fof(f930,plain,
( identity != multiply(identity,identity)
| identity != inverse(sk_c9)
| ~ spl0_5
| ~ spl0_15
| ~ spl0_18
| ~ spl0_19 ),
inference(superposition,[],[f898,f550]) ).
fof(f901,plain,
( ~ spl0_15
| ~ spl0_18
| spl0_22 ),
inference(avatar_contradiction_clause,[],[f900]) ).
fof(f900,plain,
( $false
| ~ spl0_15
| ~ spl0_18
| spl0_22 ),
inference(subsumption_resolution,[],[f899,f360]) ).
fof(f899,plain,
( identity != sk_c9
| ~ spl0_15
| ~ spl0_18
| spl0_22 ),
inference(superposition,[],[f877,f408]) ).
fof(f877,plain,
( identity != inverse(identity)
| ~ spl0_15
| ~ spl0_18
| spl0_22 ),
inference(forward_demodulation,[],[f876,f360]) ).
fof(f876,plain,
( identity != inverse(sk_c9)
| ~ spl0_15
| ~ spl0_18
| spl0_22 ),
inference(forward_demodulation,[],[f867,f408]) ).
fof(f867,plain,
( identity != inverse(inverse(identity))
| ~ spl0_15
| spl0_22 ),
inference(superposition,[],[f427,f360]) ).
fof(f427,plain,
( identity != inverse(inverse(sk_c9))
| spl0_22 ),
inference(avatar_component_clause,[],[f425]) ).
fof(f864,plain,
( ~ spl0_15
| ~ spl0_19
| spl0_23 ),
inference(avatar_contradiction_clause,[],[f863]) ).
fof(f863,plain,
( $false
| ~ spl0_15
| ~ spl0_19
| spl0_23 ),
inference(global_subsumption,[],[f1,f2,f12,f3,f47,f44,f43,f41,f39,f23,f22,f20,f18,f9,f8,f6,f21,f16,f15,f13,f11,f7,f35,f17,f14,f28,f26,f25,f31,f24,f32,f34,f36,f37,f40,f19,f5,f33,f38,f10,f4,f431,f30,f29,f27,f42,f45,f412,f76,f807,f809,f820,f760,f538,f360]) ).
fof(f538,plain,
( identity != sk_c9
| ~ spl0_19
| spl0_23 ),
inference(superposition,[],[f431,f412]) ).
fof(f760,plain,
( identity != sk_c9
| ~ spl0_19
| spl0_23 ),
inference(superposition,[],[f431,f412]) ).
fof(f431,plain,
( identity != sk_c8
| spl0_23 ),
inference(avatar_component_clause,[],[f429]) ).
fof(f862,plain,
( ~ spl0_1
| ~ spl0_16
| ~ spl0_19
| spl0_23 ),
inference(avatar_contradiction_clause,[],[f861]) ).
fof(f861,plain,
( $false
| ~ spl0_1
| ~ spl0_16
| ~ spl0_19
| spl0_23 ),
inference(global_subsumption,[],[f1,f2,f12,f3,f47,f44,f43,f41,f39,f23,f22,f20,f18,f9,f8,f6,f21,f16,f15,f13,f11,f7,f35,f17,f14,f51,f179,f181,f28,f26,f25,f31,f24,f32,f34,f36,f37,f40,f19,f5,f33,f38,f10,f4,f386,f378,f396,f385,f398,f431,f397,f440,f444,f435,f447,f433,f451,f438,f468,f30,f29,f27,f42,f45,f412,f76,f807,f809,f813,f817,f820,f821,f848,f845,f760,f538]) ).
fof(f860,plain,
( ~ spl0_1
| ~ spl0_16
| ~ spl0_19
| spl0_23 ),
inference(avatar_contradiction_clause,[],[f859]) ).
fof(f859,plain,
( $false
| ~ spl0_1
| ~ spl0_16
| ~ spl0_19
| spl0_23 ),
inference(global_subsumption,[],[f1,f2,f12,f3,f47,f44,f43,f41,f39,f23,f22,f20,f18,f9,f8,f6,f21,f16,f15,f13,f11,f7,f35,f17,f14,f51,f179,f181,f28,f26,f25,f31,f24,f32,f34,f36,f37,f40,f19,f5,f33,f38,f10,f4,f386,f378,f396,f385,f398,f431,f397,f440,f444,f435,f447,f433,f451,f438,f468,f30,f29,f27,f42,f45,f412,f76,f807,f809,f813,f817,f820,f821,f848,f845,f760]) ).
fof(f850,plain,
( ~ spl0_1
| spl0_15
| ~ spl0_16 ),
inference(avatar_contradiction_clause,[],[f849]) ).
fof(f849,plain,
( $false
| ~ spl0_1
| spl0_15
| ~ spl0_16 ),
inference(subsumption_resolution,[],[f848,f361]) ).
fof(f847,plain,
( ~ spl0_1
| spl0_15
| ~ spl0_16 ),
inference(avatar_contradiction_clause,[],[f846]) ).
fof(f846,plain,
( $false
| ~ spl0_1
| spl0_15
| ~ spl0_16 ),
inference(subsumption_resolution,[],[f845,f361]) ).
fof(f751,plain,
( ~ spl0_1
| ~ spl0_9
| spl0_13
| ~ spl0_16
| spl0_19 ),
inference(avatar_contradiction_clause,[],[f750]) ).
fof(f750,plain,
( $false
| ~ spl0_1
| ~ spl0_9
| spl0_13
| ~ spl0_16
| spl0_19 ),
inference(global_subsumption,[],[f1,f2,f12,f3,f76,f47,f44,f43,f41,f39,f23,f22,f20,f18,f9,f8,f6,f21,f16,f15,f13,f11,f7,f35,f17,f14,f51,f179,f181,f28,f26,f25,f31,f24,f32,f34,f36,f37,f45,f40,f19,f5,f33,f310,f324,f38,f363,f365,f366,f10,f4,f386,f378,f396,f385,f398,f397,f440,f444,f435,f447,f433,f451,f438,f458,f468,f462,f476,f30,f29,f27,f487,f474,f485,f493,f481,f490,f479,f478,f191,f483,f539,f413,f663,f674,f42,f715,f741,f747,f346]) ).
fof(f346,plain,
( sk_c8 != inverse(sk_c6)
| spl0_13 ),
inference(avatar_component_clause,[],[f345]) ).
fof(f747,plain,
( sk_c8 = inverse(sk_c6)
| ~ spl0_1
| ~ spl0_9
| ~ spl0_16
| spl0_19 ),
inference(subsumption_resolution,[],[f746,f413]) ).
fof(f746,plain,
( sk_c9 = sk_c8
| sk_c8 = inverse(sk_c6)
| ~ spl0_1
| ~ spl0_9
| ~ spl0_16 ),
inference(forward_demodulation,[],[f745,f1]) ).
fof(f745,plain,
( sk_c8 = multiply(identity,sk_c9)
| sk_c8 = inverse(sk_c6)
| ~ spl0_1
| ~ spl0_9
| ~ spl0_16 ),
inference(forward_demodulation,[],[f24,f483]) ).
fof(f741,plain,
( sk_c7 = multiply(sk_c6,sk_c8)
| ~ spl0_1
| ~ spl0_9
| ~ spl0_16
| spl0_19 ),
inference(subsumption_resolution,[],[f740,f413]) ).
fof(f740,plain,
( sk_c9 = sk_c8
| sk_c7 = multiply(sk_c6,sk_c8)
| ~ spl0_1
| ~ spl0_9
| ~ spl0_16 ),
inference(forward_demodulation,[],[f739,f1]) ).
fof(f739,plain,
( sk_c8 = multiply(identity,sk_c9)
| sk_c7 = multiply(sk_c6,sk_c8)
| ~ spl0_1
| ~ spl0_9
| ~ spl0_16 ),
inference(forward_demodulation,[],[f23,f483]) ).
fof(f715,plain,
( sk_c9 = multiply(sk_c8,sk_c7)
| ~ spl0_1
| ~ spl0_9
| ~ spl0_16
| spl0_19 ),
inference(subsumption_resolution,[],[f714,f413]) ).
fof(f714,plain,
( sk_c9 = sk_c8
| sk_c9 = multiply(sk_c8,sk_c7)
| ~ spl0_1
| ~ spl0_9
| ~ spl0_16 ),
inference(forward_demodulation,[],[f713,f1]) ).
fof(f713,plain,
( sk_c8 = multiply(identity,sk_c9)
| sk_c9 = multiply(sk_c8,sk_c7)
| ~ spl0_1
| ~ spl0_9
| ~ spl0_16 ),
inference(forward_demodulation,[],[f22,f483]) ).
fof(f674,plain,
( sk_c8 = inverse(sk_c5)
| ~ spl0_1
| ~ spl0_9
| ~ spl0_16
| spl0_19 ),
inference(subsumption_resolution,[],[f673,f413]) ).
fof(f673,plain,
( sk_c9 = sk_c8
| sk_c8 = inverse(sk_c5)
| ~ spl0_1
| ~ spl0_9
| ~ spl0_16 ),
inference(forward_demodulation,[],[f672,f1]) ).
fof(f672,plain,
( sk_c8 = multiply(identity,sk_c9)
| sk_c8 = inverse(sk_c5)
| ~ spl0_1
| ~ spl0_9
| ~ spl0_16 ),
inference(forward_demodulation,[],[f21,f483]) ).
fof(f663,plain,
( sk_c9 = multiply(sk_c5,sk_c8)
| ~ spl0_1
| ~ spl0_9
| ~ spl0_16
| spl0_19 ),
inference(subsumption_resolution,[],[f662,f413]) ).
fof(f662,plain,
( sk_c9 = sk_c8
| sk_c9 = multiply(sk_c5,sk_c8)
| ~ spl0_1
| ~ spl0_9
| ~ spl0_16 ),
inference(forward_demodulation,[],[f661,f1]) ).
fof(f661,plain,
( sk_c8 = multiply(identity,sk_c9)
| sk_c9 = multiply(sk_c5,sk_c8)
| ~ spl0_1
| ~ spl0_9
| ~ spl0_16 ),
inference(forward_demodulation,[],[f20,f483]) ).
fof(f539,plain,
( sk_c9 = inverse(identity)
| ~ spl0_1
| ~ spl0_9
| ~ spl0_16 ),
inference(forward_demodulation,[],[f191,f483]) ).
fof(f483,plain,
( identity = sk_c2
| ~ spl0_1
| ~ spl0_9
| ~ spl0_16 ),
inference(superposition,[],[f478,f310]) ).
fof(f478,plain,
( ! [X0] : multiply(sk_c9,X0) = X0
| ~ spl0_1
| ~ spl0_9
| ~ spl0_16 ),
inference(forward_demodulation,[],[f477,f1]) ).
fof(f477,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c9,multiply(identity,X0))
| ~ spl0_1
| ~ spl0_9
| ~ spl0_16 ),
inference(superposition,[],[f3,f474]) ).
fof(f479,plain,
( ! [X0] : multiply(sk_c2,X0) = X0
| ~ spl0_1
| ~ spl0_9
| ~ spl0_16 ),
inference(superposition,[],[f478,f324]) ).
fof(f490,plain,
( identity = sk_c2
| ~ spl0_1
| ~ spl0_9
| ~ spl0_16 ),
inference(superposition,[],[f310,f478]) ).
fof(f481,plain,
( sk_c1 = multiply(sk_c1,identity)
| ~ spl0_1
| ~ spl0_9
| ~ spl0_16 ),
inference(superposition,[],[f478,f435]) ).
fof(f493,plain,
( sk_c9 = inverse(identity)
| ~ spl0_1
| ~ spl0_9
| ~ spl0_16 ),
inference(superposition,[],[f191,f483]) ).
fof(f485,plain,
( ! [X0] : multiply(sk_c2,X0) = X0
| ~ spl0_1
| ~ spl0_9
| ~ spl0_16 ),
inference(superposition,[],[f324,f478]) ).
fof(f474,plain,
( identity = multiply(sk_c9,identity)
| ~ spl0_1
| ~ spl0_9
| ~ spl0_16 ),
inference(forward_demodulation,[],[f473,f310]) ).
fof(f473,plain,
( multiply(sk_c9,sk_c2) = multiply(sk_c9,identity)
| ~ spl0_1
| ~ spl0_9
| ~ spl0_16 ),
inference(forward_demodulation,[],[f471,f397]) ).
fof(f471,plain,
( multiply(sk_c9,sk_c2) = multiply(sk_c1,multiply(sk_c10,identity))
| ~ spl0_1
| ~ spl0_9
| ~ spl0_16 ),
inference(superposition,[],[f397,f462]) ).
fof(f487,plain,
( sk_c1 = multiply(sk_c1,identity)
| ~ spl0_1
| ~ spl0_9
| ~ spl0_16 ),
inference(superposition,[],[f435,f478]) ).
fof(f476,plain,
( ! [X0] : multiply(sk_c10,X0) = multiply(sk_c10,multiply(sk_c2,X0))
| ~ spl0_1
| ~ spl0_9
| ~ spl0_16 ),
inference(forward_demodulation,[],[f475,f1]) ).
fof(f475,plain,
( ! [X0] : multiply(sk_c10,multiply(sk_c2,X0)) = multiply(sk_c10,multiply(identity,X0))
| ~ spl0_1
| ~ spl0_9
| ~ spl0_16 ),
inference(forward_demodulation,[],[f472,f3]) ).
fof(f472,plain,
( ! [X0] : multiply(sk_c10,multiply(sk_c2,X0)) = multiply(multiply(sk_c10,identity),X0)
| ~ spl0_1
| ~ spl0_9
| ~ spl0_16 ),
inference(superposition,[],[f3,f462]) ).
fof(f462,plain,
( multiply(sk_c10,sk_c2) = multiply(sk_c10,identity)
| ~ spl0_1
| ~ spl0_9
| ~ spl0_16 ),
inference(superposition,[],[f438,f310]) ).
fof(f458,plain,
( ! [X0] : multiply(sk_c10,X0) = multiply(sk_c10,multiply(sk_c2,X0))
| ~ spl0_1
| ~ spl0_9
| ~ spl0_16 ),
inference(superposition,[],[f438,f324]) ).
fof(f366,plain,
( ! [X0] : multiply(sk_c9,X0) = multiply(sk_c1,multiply(sk_c10,X0))
| spl0_13 ),
inference(superposition,[],[f3,f363]) ).
fof(f365,plain,
( sk_c10 = multiply(sk_c10,sk_c9)
| ~ spl0_1
| spl0_13 ),
inference(superposition,[],[f181,f363]) ).
fof(f363,plain,
( multiply(sk_c1,sk_c10) = sk_c9
| spl0_13 ),
inference(subsumption_resolution,[],[f10,f346]) ).
fof(f324,plain,
( ! [X0] : multiply(sk_c9,multiply(sk_c2,X0)) = X0
| ~ spl0_9 ),
inference(forward_demodulation,[],[f323,f1]) ).
fof(f323,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c9,multiply(sk_c2,X0))
| ~ spl0_9 ),
inference(superposition,[],[f3,f310]) ).
fof(f310,plain,
( identity = multiply(sk_c9,sk_c2)
| ~ spl0_9 ),
inference(superposition,[],[f2,f191]) ).
fof(f749,plain,
( ~ spl0_1
| ~ spl0_9
| spl0_13
| ~ spl0_16
| spl0_19 ),
inference(avatar_contradiction_clause,[],[f748]) ).
fof(f748,plain,
( $false
| ~ spl0_1
| ~ spl0_9
| spl0_13
| ~ spl0_16
| spl0_19 ),
inference(global_subsumption,[],[f1,f2,f12,f3,f76,f47,f44,f43,f41,f39,f23,f22,f20,f18,f9,f8,f6,f21,f16,f15,f13,f11,f7,f35,f17,f14,f51,f179,f181,f28,f26,f25,f31,f24,f32,f34,f36,f37,f45,f40,f19,f5,f33,f310,f324,f38,f346,f363,f365,f366,f10,f4,f386,f378,f396,f385,f398,f397,f440,f444,f435,f447,f433,f451,f438,f458,f468,f462,f476,f30,f29,f27,f487,f474,f485,f493,f481,f490,f479,f478,f191,f483,f539,f413,f663,f674,f42,f715,f741,f747]) ).
fof(f737,plain,
( ~ spl0_1
| ~ spl0_8
| ~ spl0_9
| ~ spl0_13
| ~ spl0_16
| ~ spl0_18
| spl0_19 ),
inference(avatar_contradiction_clause,[],[f736]) ).
fof(f736,plain,
( $false
| ~ spl0_1
| ~ spl0_8
| ~ spl0_9
| ~ spl0_13
| ~ spl0_16
| ~ spl0_18
| spl0_19 ),
inference(subsumption_resolution,[],[f730,f413]) ).
fof(f730,plain,
( sk_c9 = sk_c8
| ~ spl0_1
| ~ spl0_8
| ~ spl0_9
| ~ spl0_13
| ~ spl0_16
| ~ spl0_18
| spl0_19 ),
inference(superposition,[],[f665,f728]) ).
fof(f728,plain,
( sk_c9 = multiply(sk_c8,sk_c9)
| ~ spl0_1
| ~ spl0_8
| ~ spl0_9
| ~ spl0_13
| ~ spl0_16
| ~ spl0_18
| spl0_19 ),
inference(superposition,[],[f715,f727]) ).
fof(f727,plain,
( sk_c9 = sk_c7
| ~ spl0_1
| ~ spl0_8
| ~ spl0_9
| ~ spl0_13
| ~ spl0_16
| ~ spl0_18
| spl0_19 ),
inference(subsumption_resolution,[],[f726,f413]) ).
fof(f726,plain,
( sk_c9 = sk_c8
| sk_c9 = sk_c7
| ~ spl0_1
| ~ spl0_8
| ~ spl0_9
| ~ spl0_13
| ~ spl0_16
| ~ spl0_18
| spl0_19 ),
inference(forward_demodulation,[],[f725,f1]) ).
fof(f725,plain,
( sk_c8 = multiply(identity,sk_c9)
| sk_c9 = sk_c7
| ~ spl0_1
| ~ spl0_8
| ~ spl0_9
| ~ spl0_13
| ~ spl0_16
| ~ spl0_18
| spl0_19 ),
inference(forward_demodulation,[],[f724,f483]) ).
fof(f724,plain,
( sk_c9 = sk_c7
| sk_c8 = multiply(sk_c2,sk_c9)
| ~ spl0_1
| ~ spl0_8
| ~ spl0_9
| ~ spl0_13
| ~ spl0_16
| ~ spl0_18
| spl0_19 ),
inference(forward_demodulation,[],[f723,f663]) ).
fof(f723,plain,
( multiply(sk_c5,sk_c8) = sk_c7
| sk_c8 = multiply(sk_c2,sk_c9)
| ~ spl0_1
| ~ spl0_8
| ~ spl0_9
| ~ spl0_13
| ~ spl0_16
| ~ spl0_18
| spl0_19 ),
inference(forward_demodulation,[],[f23,f693]) ).
fof(f693,plain,
( sk_c5 = sk_c6
| ~ spl0_1
| ~ spl0_8
| ~ spl0_9
| ~ spl0_13
| ~ spl0_16
| ~ spl0_18
| spl0_19 ),
inference(forward_demodulation,[],[f688,f687]) ).
fof(f687,plain,
( sk_c5 = multiply(sk_c5,identity)
| ~ spl0_1
| ~ spl0_8
| ~ spl0_9
| ~ spl0_16
| ~ spl0_18
| spl0_19 ),
inference(superposition,[],[f670,f680]) ).
fof(f670,plain,
( ! [X0] : multiply(sk_c5,multiply(sk_c8,X0)) = X0
| ~ spl0_1
| ~ spl0_9
| ~ spl0_16
| ~ spl0_18
| spl0_19 ),
inference(forward_demodulation,[],[f666,f561]) ).
fof(f666,plain,
( ! [X0] : multiply(sk_c9,X0) = multiply(sk_c5,multiply(sk_c8,X0))
| ~ spl0_1
| ~ spl0_9
| ~ spl0_16
| spl0_19 ),
inference(superposition,[],[f3,f663]) ).
fof(f688,plain,
( sk_c6 = multiply(sk_c5,identity)
| ~ spl0_1
| ~ spl0_9
| ~ spl0_13
| ~ spl0_16
| ~ spl0_18
| spl0_19 ),
inference(superposition,[],[f670,f370]) ).
fof(f665,plain,
( sk_c8 = multiply(sk_c8,sk_c9)
| ~ spl0_1
| ~ spl0_8
| ~ spl0_9
| ~ spl0_16
| spl0_19 ),
inference(superposition,[],[f195,f663]) ).
fof(f195,plain,
( ! [X0] : multiply(sk_c8,multiply(sk_c5,X0)) = X0
| ~ spl0_8 ),
inference(forward_demodulation,[],[f194,f1]) ).
fof(f194,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c8,multiply(sk_c5,X0))
| ~ spl0_8 ),
inference(superposition,[],[f3,f193]) ).
fof(f735,plain,
( ~ spl0_1
| ~ spl0_8
| ~ spl0_9
| ~ spl0_13
| ~ spl0_16
| ~ spl0_18
| spl0_19 ),
inference(avatar_contradiction_clause,[],[f734]) ).
fof(f734,plain,
( $false
| ~ spl0_1
| ~ spl0_8
| ~ spl0_9
| ~ spl0_13
| ~ spl0_16
| ~ spl0_18
| spl0_19 ),
inference(subsumption_resolution,[],[f729,f413]) ).
fof(f729,plain,
( sk_c9 = sk_c8
| ~ spl0_1
| ~ spl0_8
| ~ spl0_9
| ~ spl0_13
| ~ spl0_16
| ~ spl0_18
| spl0_19 ),
inference(superposition,[],[f728,f665]) ).
fof(f678,plain,
( ~ spl0_1
| spl0_8
| ~ spl0_9
| ~ spl0_16
| spl0_19 ),
inference(avatar_contradiction_clause,[],[f677]) ).
fof(f677,plain,
( $false
| ~ spl0_1
| spl0_8
| ~ spl0_9
| ~ spl0_16
| spl0_19 ),
inference(global_subsumption,[],[f1,f2,f12,f3,f76,f47,f44,f43,f41,f39,f23,f22,f20,f18,f9,f8,f6,f21,f16,f15,f13,f11,f7,f35,f17,f14,f51,f179,f181,f28,f26,f25,f31,f24,f32,f34,f36,f37,f45,f40,f19,f5,f33,f310,f324,f38,f10,f4,f386,f378,f396,f385,f398,f397,f440,f444,f435,f447,f433,f451,f438,f458,f468,f462,f476,f30,f29,f27,f487,f474,f485,f493,f481,f490,f479,f478,f191,f483,f539,f413,f663,f42,f674,f186]) ).
fof(f186,plain,
( sk_c8 != inverse(sk_c5)
| spl0_8 ),
inference(avatar_component_clause,[],[f185]) ).
fof(f676,plain,
( ~ spl0_1
| ~ spl0_3
| ~ spl0_9
| ~ spl0_16
| spl0_19 ),
inference(avatar_contradiction_clause,[],[f675]) ).
fof(f675,plain,
( $false
| ~ spl0_1
| ~ spl0_3
| ~ spl0_9
| ~ spl0_16
| spl0_19 ),
inference(global_subsumption,[],[f1,f2,f12,f3,f76,f47,f44,f43,f41,f39,f23,f22,f20,f18,f9,f8,f6,f21,f16,f15,f13,f11,f7,f35,f17,f14,f51,f179,f181,f28,f26,f25,f31,f24,f32,f34,f36,f37,f45,f40,f19,f5,f33,f310,f324,f38,f10,f4,f386,f378,f396,f385,f398,f397,f440,f444,f435,f447,f433,f451,f438,f458,f468,f462,f476,f30,f29,f27,f487,f474,f485,f493,f481,f490,f479,f478,f191,f483,f539,f413,f96,f659,f663,f667,f42,f671,f674]) ).
fof(f671,plain,
( sk_c8 = multiply(sk_c3,sk_c9)
| ~ spl0_1
| ~ spl0_3
| ~ spl0_9
| ~ spl0_16
| spl0_19 ),
inference(global_subsumption,[],[f1,f2,f12,f3,f76,f47,f44,f43,f41,f39,f23,f22,f20,f18,f9,f8,f6,f21,f16,f15,f13,f11,f7,f35,f17,f14,f51,f179,f181,f28,f26,f25,f31,f24,f32,f34,f36,f37,f45,f40,f19,f5,f33,f310,f324,f38,f10,f4,f386,f378,f396,f385,f398,f397,f440,f444,f435,f447,f433,f451,f438,f458,f468,f462,f476,f30,f29,f27,f487,f474,f485,f493,f481,f490,f479,f478,f191,f483,f539,f413,f96,f659,f663,f667,f42]) ).
fof(f667,plain,
( sk_c8 != inverse(sk_c5)
| ~ spl0_1
| ~ spl0_3
| ~ spl0_9
| ~ spl0_16
| spl0_19 ),
inference(trivial_inequality_removal,[],[f664]) ).
fof(f664,plain,
( sk_c9 != sk_c9
| sk_c8 != inverse(sk_c5)
| ~ spl0_1
| ~ spl0_3
| ~ spl0_9
| ~ spl0_16
| spl0_19 ),
inference(superposition,[],[f96,f663]) ).
fof(f669,plain,
( ~ spl0_1
| ~ spl0_3
| ~ spl0_8
| ~ spl0_9
| ~ spl0_16
| spl0_19 ),
inference(avatar_contradiction_clause,[],[f668]) ).
fof(f668,plain,
( $false
| ~ spl0_1
| ~ spl0_3
| ~ spl0_8
| ~ spl0_9
| ~ spl0_16
| spl0_19 ),
inference(subsumption_resolution,[],[f667,f187]) ).
fof(f655,plain,
( ~ spl0_6
| ~ spl0_18
| ~ spl0_19 ),
inference(avatar_contradiction_clause,[],[f654]) ).
fof(f654,plain,
( $false
| ~ spl0_6
| ~ spl0_18
| ~ spl0_19 ),
inference(subsumption_resolution,[],[f652,f408]) ).
fof(f629,plain,
( ~ spl0_3
| ~ spl0_18
| ~ spl0_19 ),
inference(avatar_contradiction_clause,[],[f628]) ).
fof(f628,plain,
( $false
| ~ spl0_3
| ~ spl0_18
| ~ spl0_19 ),
inference(subsumption_resolution,[],[f626,f408]) ).
fof(f626,plain,
( sk_c9 != inverse(identity)
| ~ spl0_3
| ~ spl0_19 ),
inference(trivial_inequality_removal,[],[f621]) ).
fof(f621,plain,
( sk_c9 != sk_c9
| sk_c9 != inverse(identity)
| ~ spl0_3
| ~ spl0_19 ),
inference(superposition,[],[f592,f1]) ).
fof(f612,plain,
( ~ spl0_1
| ~ spl0_2
| ~ spl0_16
| spl0_17
| ~ spl0_18 ),
inference(avatar_contradiction_clause,[],[f611]) ).
fof(f611,plain,
( $false
| ~ spl0_1
| ~ spl0_2
| ~ spl0_16
| spl0_17
| ~ spl0_18 ),
inference(subsumption_resolution,[],[f608,f378]) ).
fof(f608,plain,
( multiply(sk_c1,sk_c10) != sk_c9
| ~ spl0_1
| ~ spl0_2
| ~ spl0_16
| spl0_17
| ~ spl0_18 ),
inference(superposition,[],[f381,f604]) ).
fof(f604,plain,
( sk_c1 = sk_c4
| ~ spl0_1
| ~ spl0_2
| ~ spl0_16
| ~ spl0_18 ),
inference(forward_demodulation,[],[f564,f563]) ).
fof(f563,plain,
( sk_c1 = multiply(sk_c1,identity)
| ~ spl0_1
| ~ spl0_16
| ~ spl0_18 ),
inference(superposition,[],[f561,f435]) ).
fof(f548,plain,
( spl0_18
| ~ spl0_1
| ~ spl0_9
| ~ spl0_16
| spl0_17 ),
inference(avatar_split_clause,[],[f543,f380,f376,f189,f49,f407]) ).
fof(f543,plain,
( sk_c9 = inverse(identity)
| ~ spl0_1
| ~ spl0_9
| ~ spl0_16
| spl0_17 ),
inference(forward_demodulation,[],[f530,f483]) ).
fof(f547,plain,
( spl0_18
| ~ spl0_1
| ~ spl0_9
| ~ spl0_16
| spl0_17 ),
inference(avatar_split_clause,[],[f542,f380,f376,f189,f49,f407]) ).
fof(f542,plain,
( sk_c9 = inverse(identity)
| ~ spl0_1
| ~ spl0_9
| ~ spl0_16
| spl0_17 ),
inference(forward_demodulation,[],[f529,f483]) ).
fof(f546,plain,
( spl0_18
| ~ spl0_1
| ~ spl0_9
| ~ spl0_16
| spl0_17 ),
inference(avatar_split_clause,[],[f541,f380,f376,f189,f49,f407]) ).
fof(f541,plain,
( sk_c9 = inverse(identity)
| ~ spl0_1
| ~ spl0_9
| ~ spl0_16
| spl0_17 ),
inference(forward_demodulation,[],[f528,f483]) ).
fof(f545,plain,
( spl0_18
| ~ spl0_1
| ~ spl0_9
| ~ spl0_16
| spl0_17 ),
inference(avatar_split_clause,[],[f540,f380,f376,f189,f49,f407]) ).
fof(f540,plain,
( sk_c9 = inverse(identity)
| ~ spl0_1
| ~ spl0_9
| ~ spl0_16
| spl0_17 ),
inference(forward_demodulation,[],[f503,f483]) ).
fof(f544,plain,
( spl0_18
| ~ spl0_1
| ~ spl0_9
| ~ spl0_16 ),
inference(avatar_split_clause,[],[f539,f376,f189,f49,f407]) ).
fof(f527,plain,
( spl0_9
| spl0_17
| ~ spl0_19 ),
inference(avatar_contradiction_clause,[],[f526]) ).
fof(f526,plain,
( $false
| spl0_9
| spl0_17
| ~ spl0_19 ),
inference(global_subsumption,[],[f412,f1,f2,f12,f3,f76,f47,f44,f43,f41,f39,f23,f22,f20,f18,f9,f8,f6,f42,f21,f16,f15,f13,f11,f7,f35,f17,f14,f28,f198,f199,f201,f204,f206,f207,f209,f212,f213,f214,f216,f220,f229,f222,f231,f224,f234,f225,f236,f221,f276,f279,f284,f287,f26,f25,f31,f24,f32,f34,f36,f37,f45,f40,f19,f5,f33,f38,f10,f4,f381,f190,f217,f503,f27,f29,f30]) ).
fof(f525,plain,
( spl0_9
| spl0_17 ),
inference(avatar_contradiction_clause,[],[f524]) ).
fof(f524,plain,
( $false
| spl0_9
| spl0_17 ),
inference(global_subsumption,[],[f1,f2,f12,f3,f76,f47,f44,f43,f41,f39,f23,f22,f20,f18,f9,f8,f6,f42,f21,f16,f15,f13,f11,f7,f35,f17,f14,f28,f198,f199,f201,f204,f206,f207,f209,f212,f213,f214,f216,f220,f229,f222,f231,f224,f234,f225,f236,f221,f276,f279,f284,f287,f26,f25,f31,f24,f32,f34,f36,f37,f45,f40,f19,f5,f33,f38,f10,f4,f381,f190,f217,f503,f27,f29,f30]) ).
fof(f523,plain,
( spl0_9
| spl0_17 ),
inference(avatar_contradiction_clause,[],[f522]) ).
fof(f522,plain,
( $false
| spl0_9
| spl0_17 ),
inference(global_subsumption,[],[f1,f2,f12,f3,f76,f47,f44,f43,f41,f39,f23,f22,f20,f18,f9,f8,f6,f42,f21,f16,f15,f13,f11,f7,f35,f17,f14,f28,f198,f199,f201,f204,f206,f207,f209,f212,f213,f214,f216,f220,f229,f222,f231,f224,f234,f225,f236,f221,f276,f279,f284,f287,f26,f25,f31,f24,f32,f34,f36,f37,f45,f40,f19,f5,f33,f38,f10,f4,f381,f30,f190,f217,f503,f27,f29]) ).
fof(f521,plain,
( spl0_9
| spl0_17 ),
inference(avatar_contradiction_clause,[],[f520]) ).
fof(f520,plain,
( $false
| spl0_9
| spl0_17 ),
inference(global_subsumption,[],[f1,f2,f12,f3,f76,f47,f44,f43,f41,f39,f23,f22,f20,f18,f9,f8,f6,f42,f21,f16,f15,f13,f11,f7,f35,f17,f14,f28,f198,f199,f201,f204,f206,f207,f209,f212,f213,f214,f216,f220,f229,f222,f231,f224,f234,f225,f236,f221,f276,f279,f284,f287,f26,f25,f31,f24,f32,f34,f36,f37,f45,f40,f19,f5,f33,f38,f10,f4,f381,f30,f29,f190,f217,f503,f27]) ).
fof(f519,plain,
( spl0_9
| spl0_17 ),
inference(avatar_contradiction_clause,[],[f518]) ).
fof(f518,plain,
( $false
| spl0_9
| spl0_17 ),
inference(global_subsumption,[],[f1,f2,f12,f3,f76,f47,f44,f43,f41,f39,f23,f22,f20,f18,f9,f8,f6,f42,f21,f16,f15,f13,f11,f7,f35,f17,f14,f28,f198,f199,f201,f204,f206,f207,f209,f212,f213,f214,f216,f220,f229,f222,f231,f224,f234,f225,f236,f221,f276,f279,f284,f287,f26,f25,f31,f24,f32,f34,f36,f37,f45,f40,f19,f5,f33,f38,f10,f4,f381,f30,f29,f27,f190,f217,f503]) ).
fof(f517,plain,
( spl0_9
| spl0_17 ),
inference(avatar_contradiction_clause,[],[f516]) ).
fof(f516,plain,
( $false
| spl0_9
| spl0_17 ),
inference(global_subsumption,[],[f1,f2,f12,f3,f76,f47,f44,f43,f41,f39,f23,f22,f20,f18,f9,f8,f6,f42,f21,f16,f15,f13,f11,f7,f35,f17,f14,f28,f198,f199,f201,f204,f206,f207,f209,f212,f213,f214,f216,f220,f229,f222,f231,f224,f234,f225,f236,f221,f276,f279,f284,f287,f26,f25,f31,f24,f32,f34,f36,f37,f45,f40,f19,f5,f33,f38,f10,f4,f381,f30,f29,f27,f503,f190,f217]) ).
fof(f515,plain,
( spl0_9
| spl0_17 ),
inference(avatar_contradiction_clause,[],[f514]) ).
fof(f514,plain,
( $false
| spl0_9
| spl0_17 ),
inference(global_subsumption,[],[f1,f2,f12,f3,f76,f47,f44,f43,f41,f39,f23,f22,f20,f18,f9,f8,f6,f42,f21,f16,f15,f13,f11,f7,f35,f17,f14,f28,f198,f199,f201,f204,f206,f207,f209,f212,f213,f214,f216,f217,f220,f229,f222,f231,f224,f234,f225,f236,f221,f276,f279,f284,f287,f26,f25,f31,f24,f32,f34,f36,f37,f45,f40,f19,f5,f33,f38,f10,f4,f381,f30,f29,f27,f503,f190]) ).
fof(f513,plain,
( ~ spl0_3
| spl0_9
| spl0_17 ),
inference(avatar_contradiction_clause,[],[f512]) ).
fof(f512,plain,
( $false
| ~ spl0_3
| spl0_9
| spl0_17 ),
inference(global_subsumption,[],[f96,f1,f2,f12,f3,f76,f47,f44,f43,f41,f39,f23,f22,f20,f18,f9,f8,f6,f42,f21,f16,f15,f13,f11,f7,f35,f17,f14,f28,f198,f199,f201,f204,f206,f207,f209,f212,f213,f214,f216,f217,f220,f229,f222,f231,f224,f234,f225,f236,f221,f276,f279,f284,f287,f26,f25,f31,f24,f32,f34,f36,f37,f45,f40,f19,f5,f33,f38,f10,f4,f381,f30,f29,f27,f503,f190]) ).
fof(f511,plain,
( ~ spl0_3
| spl0_9
| spl0_19 ),
inference(avatar_contradiction_clause,[],[f510]) ).
fof(f510,plain,
( $false
| ~ spl0_3
| spl0_9
| spl0_19 ),
inference(global_subsumption,[],[f96,f1,f2,f12,f3,f76,f47,f44,f43,f41,f39,f23,f22,f20,f18,f9,f8,f6,f42,f21,f16,f15,f13,f11,f7,f35,f17,f14,f28,f198,f199,f201,f204,f206,f207,f209,f212,f213,f214,f216,f217,f220,f229,f222,f231,f224,f234,f225,f236,f221,f276,f279,f284,f287,f26,f25,f31,f24,f32,f34,f36,f37,f45,f40,f19,f5,f33,f38,f10,f4,f413,f30,f29,f27,f190]) ).
fof(f509,plain,
( spl0_9
| spl0_19 ),
inference(avatar_contradiction_clause,[],[f508]) ).
fof(f508,plain,
( $false
| spl0_9
| spl0_19 ),
inference(global_subsumption,[],[f1,f2,f12,f3,f76,f47,f44,f43,f41,f39,f23,f22,f20,f18,f9,f8,f6,f42,f21,f16,f15,f13,f11,f7,f35,f17,f14,f28,f198,f199,f201,f204,f206,f207,f209,f212,f213,f214,f216,f217,f220,f229,f222,f231,f224,f234,f225,f236,f221,f276,f279,f284,f287,f26,f25,f31,f24,f32,f34,f36,f37,f45,f40,f19,f5,f33,f38,f10,f4,f413,f30,f29,f27,f190]) ).
fof(f507,plain,
( spl0_9
| spl0_19 ),
inference(avatar_contradiction_clause,[],[f506]) ).
fof(f506,plain,
( $false
| spl0_9
| spl0_19 ),
inference(subsumption_resolution,[],[f217,f413]) ).
fof(f505,plain,
( spl0_9
| spl0_17
| spl0_19 ),
inference(avatar_contradiction_clause,[],[f504]) ).
fof(f504,plain,
( $false
| spl0_9
| spl0_17
| spl0_19 ),
inference(global_subsumption,[],[f503,f1,f2,f12,f3,f76,f47,f44,f43,f41,f39,f23,f22,f20,f18,f9,f8,f6,f42,f21,f16,f15,f13,f11,f7,f35,f17,f14,f28,f190,f198,f199,f201,f204,f206,f207,f209,f212,f213,f214,f216,f217,f220,f229,f222,f231,f224,f234,f225,f236,f221,f276,f279,f284,f287,f26,f25,f31,f24,f32,f34,f36,f37,f45,f40,f19,f5,f33,f38,f10,f4,f413,f30,f29,f27]) ).
fof(f502,plain,
( spl0_9
| spl0_19 ),
inference(avatar_contradiction_clause,[],[f501]) ).
fof(f501,plain,
( $false
| spl0_9
| spl0_19 ),
inference(global_subsumption,[],[f1,f2,f12,f3,f76,f47,f44,f43,f41,f39,f23,f22,f20,f18,f9,f8,f6,f42,f21,f16,f15,f13,f11,f7,f35,f17,f14,f28,f190,f198,f199,f201,f204,f206,f207,f209,f212,f213,f214,f216,f217,f220,f229,f222,f231,f224,f234,f225,f236,f221,f276,f279,f284,f287,f26,f25,f31,f24,f32,f34,f36,f37,f45,f40,f19,f5,f33,f38,f10,f4,f413,f30,f29,f27]) ).
fof(f500,plain,
( spl0_9
| spl0_19 ),
inference(avatar_contradiction_clause,[],[f499]) ).
fof(f499,plain,
( $false
| spl0_9
| spl0_19 ),
inference(global_subsumption,[],[f1,f2,f12,f3,f76,f47,f44,f43,f41,f39,f23,f22,f20,f18,f9,f8,f6,f42,f21,f16,f15,f13,f11,f7,f35,f17,f14,f28,f190,f198,f199,f201,f204,f206,f207,f209,f212,f213,f214,f216,f217,f220,f229,f222,f231,f224,f234,f225,f236,f221,f276,f279,f284,f287,f26,f27,f25,f31,f24,f32,f34,f36,f37,f45,f40,f19,f5,f33,f38,f10,f4,f413,f30,f29]) ).
fof(f498,plain,
( spl0_9
| spl0_19 ),
inference(avatar_contradiction_clause,[],[f497]) ).
fof(f497,plain,
( $false
| spl0_9
| spl0_19 ),
inference(global_subsumption,[],[f1,f2,f12,f3,f76,f47,f44,f43,f41,f39,f23,f22,f20,f18,f9,f8,f6,f42,f21,f16,f15,f13,f11,f7,f35,f17,f14,f28,f190,f198,f199,f201,f204,f206,f207,f209,f212,f213,f214,f216,f217,f220,f229,f222,f231,f224,f234,f225,f236,f221,f276,f279,f284,f287,f26,f29,f27,f25,f31,f24,f32,f34,f36,f37,f45,f40,f19,f5,f33,f38,f10,f4,f413,f30]) ).
fof(f496,plain,
( ~ spl0_1
| ~ spl0_9
| ~ spl0_16
| spl0_18 ),
inference(avatar_contradiction_clause,[],[f495]) ).
fof(f495,plain,
( $false
| ~ spl0_1
| ~ spl0_9
| ~ spl0_16
| spl0_18 ),
inference(subsumption_resolution,[],[f493,f409]) ).
fof(f432,plain,
( ~ spl0_22
| ~ spl0_23
| ~ spl0_4 ),
inference(avatar_split_clause,[],[f405,f98,f429,f425]) ).
fof(f98,plain,
( spl0_4
<=> ! [X5] :
( sk_c8 != inverse(X5)
| sk_c8 != multiply(X5,sk_c9) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).
fof(f405,plain,
( identity != sk_c8
| identity != inverse(inverse(sk_c9))
| ~ spl0_4 ),
inference(inner_rewriting,[],[f401]) ).
fof(f401,plain,
( identity != sk_c8
| sk_c8 != inverse(inverse(sk_c9))
| ~ spl0_4 ),
inference(superposition,[],[f99,f2]) ).
fof(f99,plain,
( ! [X5] :
( sk_c8 != multiply(X5,sk_c9)
| sk_c8 != inverse(X5) )
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f98]) ).
fof(f423,plain,
( ~ spl0_20
| ~ spl0_21
| ~ spl0_1
| ~ spl0_4
| ~ spl0_16 ),
inference(avatar_split_clause,[],[f403,f376,f98,f49,f420,f416]) ).
fof(f416,plain,
( spl0_20
<=> sk_c10 = inverse(sk_c10) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_20])]) ).
fof(f403,plain,
( sk_c10 != sk_c8
| sk_c10 != inverse(sk_c10)
| ~ spl0_1
| ~ spl0_4
| ~ spl0_16 ),
inference(inner_rewriting,[],[f399]) ).
fof(f399,plain,
( sk_c10 != sk_c8
| sk_c8 != inverse(sk_c10)
| ~ spl0_1
| ~ spl0_4
| ~ spl0_16 ),
inference(superposition,[],[f99,f385]) ).
fof(f414,plain,
( ~ spl0_18
| ~ spl0_19
| ~ spl0_4 ),
inference(avatar_split_clause,[],[f404,f98,f411,f407]) ).
fof(f404,plain,
( sk_c9 != sk_c8
| sk_c9 != inverse(identity)
| ~ spl0_4 ),
inference(inner_rewriting,[],[f400]) ).
fof(f400,plain,
( sk_c9 != sk_c8
| sk_c8 != inverse(identity)
| ~ spl0_4 ),
inference(superposition,[],[f99,f1]) ).
fof(f395,plain,
( ~ spl0_2
| ~ spl0_7
| ~ spl0_17 ),
inference(avatar_contradiction_clause,[],[f394]) ).
fof(f394,plain,
( $false
| ~ spl0_2
| ~ spl0_7
| ~ spl0_17 ),
inference(subsumption_resolution,[],[f393,f55]) ).
fof(f393,plain,
( sk_c10 != inverse(sk_c4)
| ~ spl0_7
| ~ spl0_17 ),
inference(trivial_inequality_removal,[],[f390]) ).
fof(f390,plain,
( sk_c9 != sk_c9
| sk_c10 != inverse(sk_c4)
| ~ spl0_7
| ~ spl0_17 ),
inference(superposition,[],[f108,f382]) ).
fof(f389,plain,
( ~ spl0_1
| ~ spl0_7
| ~ spl0_16 ),
inference(avatar_contradiction_clause,[],[f388]) ).
fof(f388,plain,
( $false
| ~ spl0_1
| ~ spl0_7
| ~ spl0_16 ),
inference(subsumption_resolution,[],[f387,f51]) ).
fof(f387,plain,
( sk_c10 != inverse(sk_c1)
| ~ spl0_7
| ~ spl0_16 ),
inference(trivial_inequality_removal,[],[f384]) ).
fof(f384,plain,
( sk_c9 != sk_c9
| sk_c10 != inverse(sk_c1)
| ~ spl0_7
| ~ spl0_16 ),
inference(superposition,[],[f108,f378]) ).
fof(f383,plain,
( spl0_16
| spl0_17 ),
inference(avatar_split_clause,[],[f4,f380,f376]) ).
fof(f369,plain,
( ~ spl0_1
| ~ spl0_7
| spl0_13 ),
inference(avatar_contradiction_clause,[],[f368]) ).
fof(f368,plain,
( $false
| ~ spl0_1
| ~ spl0_7
| spl0_13 ),
inference(subsumption_resolution,[],[f367,f51]) ).
fof(f367,plain,
( sk_c10 != inverse(sk_c1)
| ~ spl0_7
| spl0_13 ),
inference(trivial_inequality_removal,[],[f364]) ).
fof(f364,plain,
( sk_c9 != sk_c9
| sk_c10 != inverse(sk_c1)
| ~ spl0_7
| spl0_13 ),
inference(superposition,[],[f108,f363]) ).
fof(f362,plain,
( ~ spl0_14
| ~ spl0_15
| ~ spl0_7 ),
inference(avatar_split_clause,[],[f269,f107,f359,f355]) ).
fof(f355,plain,
( spl0_14
<=> sk_c10 = inverse(inverse(sk_c10)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_14])]) ).
fof(f269,plain,
( identity != sk_c9
| sk_c10 != inverse(inverse(sk_c10))
| ~ spl0_7 ),
inference(superposition,[],[f108,f2]) ).
fof(f348,plain,
( spl0_12
| spl0_13 ),
inference(avatar_split_clause,[],[f38,f345,f341]) ).
fof(f335,plain,
( ~ spl0_10
| ~ spl0_11
| ~ spl0_7 ),
inference(avatar_split_clause,[],[f268,f107,f332,f328]) ).
fof(f328,plain,
( spl0_10
<=> sk_c10 = inverse(identity) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).
fof(f268,plain,
( sk_c10 != sk_c9
| sk_c10 != inverse(identity)
| ~ spl0_7 ),
inference(superposition,[],[f108,f1]) ).
fof(f317,plain,
( ~ spl0_1
| spl0_2
| ~ spl0_7 ),
inference(avatar_contradiction_clause,[],[f316]) ).
fof(f316,plain,
( $false
| ~ spl0_1
| spl0_2
| ~ spl0_7 ),
inference(subsumption_resolution,[],[f315,f51]) ).
fof(f315,plain,
( sk_c10 != inverse(sk_c1)
| spl0_2
| ~ spl0_7 ),
inference(trivial_inequality_removal,[],[f312]) ).
fof(f312,plain,
( sk_c9 != sk_c9
| sk_c10 != inverse(sk_c1)
| spl0_2
| ~ spl0_7 ),
inference(superposition,[],[f108,f294]) ).
fof(f291,plain,
( spl0_2
| ~ spl0_7
| spl0_9 ),
inference(avatar_contradiction_clause,[],[f290]) ).
fof(f290,plain,
( $false
| spl0_2
| ~ spl0_7
| spl0_9 ),
inference(global_subsumption,[],[f54,f26,f33,f19,f40,f1,f2,f12,f3,f76,f47,f44,f43,f41,f39,f23,f22,f20,f18,f9,f8,f6,f4,f45,f42,f37,f36,f34,f32,f30,f29,f27,f25,f24,f21,f16,f15,f13,f11,f10,f7,f38,f35,f31,f17,f14,f28,f190,f198,f199,f201,f204,f206,f207,f209,f212,f213,f214,f216,f217,f220,f229,f222,f231,f224,f234,f225,f236,f221,f108,f268,f269,f270,f271,f276,f279,f5,f284,f287]) ).
fof(f271,plain,
( sk_c10 != inverse(sk_c4)
| ~ spl0_7
| spl0_9 ),
inference(trivial_inequality_removal,[],[f267]) ).
fof(f267,plain,
( sk_c9 != sk_c9
| sk_c10 != inverse(sk_c4)
| ~ spl0_7
| spl0_9 ),
inference(superposition,[],[f108,f204]) ).
fof(f270,plain,
( ! [X0,X1] :
( sk_c9 != multiply(X0,multiply(X1,sk_c10))
| sk_c10 != inverse(multiply(X0,X1)) )
| ~ spl0_7 ),
inference(superposition,[],[f108,f3]) ).
fof(f289,plain,
( ~ spl0_7
| spl0_9 ),
inference(avatar_contradiction_clause,[],[f288]) ).
fof(f288,plain,
( $false
| ~ spl0_7
| spl0_9 ),
inference(global_subsumption,[],[f26,f33,f19,f40,f1,f2,f12,f3,f76,f47,f44,f43,f41,f39,f23,f22,f20,f18,f9,f8,f6,f4,f45,f42,f37,f36,f34,f32,f30,f29,f27,f25,f24,f21,f16,f15,f13,f11,f10,f7,f38,f35,f31,f17,f14,f28,f190,f198,f199,f201,f204,f206,f207,f209,f212,f213,f214,f216,f217,f220,f229,f222,f231,f224,f234,f225,f236,f221,f108,f268,f269,f270,f271,f276,f279,f5,f284,f287]) ).
fof(f286,plain,
( ~ spl0_7
| spl0_9 ),
inference(avatar_contradiction_clause,[],[f285]) ).
fof(f285,plain,
( $false
| ~ spl0_7
| spl0_9 ),
inference(global_subsumption,[],[f26,f33,f19,f40,f1,f2,f12,f3,f76,f47,f44,f43,f41,f39,f23,f22,f20,f18,f9,f8,f6,f4,f45,f42,f37,f36,f34,f32,f30,f29,f27,f25,f24,f21,f16,f15,f13,f11,f10,f7,f38,f35,f31,f17,f14,f28,f190,f198,f199,f201,f204,f206,f207,f209,f212,f213,f214,f216,f217,f220,f229,f222,f231,f224,f234,f225,f236,f221,f108,f268,f269,f270,f271,f276,f279,f5,f284]) ).
fof(f283,plain,
( ~ spl0_7
| spl0_9 ),
inference(avatar_contradiction_clause,[],[f282]) ).
fof(f282,plain,
( $false
| ~ spl0_7
| spl0_9 ),
inference(global_subsumption,[],[f26,f33,f19,f40,f1,f2,f12,f3,f76,f47,f44,f43,f41,f39,f23,f22,f20,f18,f9,f8,f6,f4,f45,f42,f37,f36,f34,f32,f30,f29,f27,f25,f24,f21,f16,f15,f13,f11,f10,f7,f38,f35,f31,f17,f14,f28,f190,f198,f199,f201,f204,f206,f207,f209,f212,f213,f214,f216,f217,f220,f229,f222,f231,f224,f234,f225,f236,f221,f108,f268,f269,f270,f271,f276,f279,f5]) ).
fof(f281,plain,
( ~ spl0_7
| spl0_9 ),
inference(avatar_contradiction_clause,[],[f280]) ).
fof(f280,plain,
( $false
| ~ spl0_7
| spl0_9 ),
inference(global_subsumption,[],[f26,f33,f19,f40,f5,f1,f2,f12,f3,f76,f47,f44,f43,f41,f39,f23,f22,f20,f18,f9,f8,f6,f4,f45,f42,f37,f36,f34,f32,f30,f29,f27,f25,f24,f21,f16,f15,f13,f11,f10,f7,f38,f35,f31,f17,f14,f28,f190,f198,f199,f201,f204,f206,f207,f209,f212,f213,f214,f216,f217,f220,f229,f222,f231,f224,f234,f225,f236,f221,f108,f268,f269,f270,f271,f276,f279]) ).
fof(f278,plain,
( ~ spl0_7
| spl0_9 ),
inference(avatar_contradiction_clause,[],[f277]) ).
fof(f277,plain,
( $false
| ~ spl0_7
| spl0_9 ),
inference(global_subsumption,[],[f26,f33,f19,f40,f5,f1,f2,f12,f3,f76,f47,f44,f43,f41,f39,f23,f22,f20,f18,f9,f8,f6,f4,f45,f42,f37,f36,f34,f32,f30,f29,f27,f25,f24,f21,f16,f15,f13,f11,f10,f7,f38,f35,f31,f17,f14,f28,f190,f198,f199,f201,f204,f206,f207,f209,f212,f213,f214,f216,f217,f220,f229,f222,f231,f224,f234,f225,f236,f221,f108,f268,f269,f270,f271,f276]) ).
fof(f275,plain,
( ~ spl0_7
| spl0_9 ),
inference(avatar_contradiction_clause,[],[f274]) ).
fof(f274,plain,
( $false
| ~ spl0_7
| spl0_9 ),
inference(global_subsumption,[],[f26,f33,f19,f40,f5,f1,f2,f12,f3,f76,f47,f44,f43,f41,f39,f23,f22,f20,f18,f9,f8,f6,f4,f45,f42,f37,f36,f34,f32,f30,f29,f27,f25,f24,f21,f16,f15,f13,f11,f10,f7,f38,f35,f31,f17,f14,f28,f190,f198,f199,f201,f204,f206,f207,f209,f212,f213,f214,f216,f217,f220,f229,f222,f231,f224,f234,f225,f236,f221,f108,f268,f269,f270,f271]) ).
fof(f273,plain,
( ~ spl0_2
| ~ spl0_7
| spl0_9 ),
inference(avatar_contradiction_clause,[],[f272]) ).
fof(f272,plain,
( $false
| ~ spl0_2
| ~ spl0_7
| spl0_9 ),
inference(subsumption_resolution,[],[f271,f55]) ).
fof(f266,plain,
( ~ spl0_4
| ~ spl0_8
| spl0_9 ),
inference(avatar_contradiction_clause,[],[f265]) ).
fof(f265,plain,
( $false
| ~ spl0_4
| ~ spl0_8
| spl0_9 ),
inference(subsumption_resolution,[],[f264,f217]) ).
fof(f264,plain,
( sk_c9 != sk_c8
| ~ spl0_4
| ~ spl0_8
| spl0_9 ),
inference(superposition,[],[f258,f187]) ).
fof(f258,plain,
( sk_c9 != inverse(sk_c5)
| ~ spl0_4
| spl0_9 ),
inference(trivial_inequality_removal,[],[f251]) ).
fof(f251,plain,
( sk_c9 != sk_c9
| sk_c9 != inverse(sk_c5)
| ~ spl0_4
| spl0_9 ),
inference(superposition,[],[f248,f222]) ).
fof(f248,plain,
( ! [X5] :
( sk_c9 != multiply(X5,sk_c9)
| sk_c9 != inverse(X5) )
| ~ spl0_4
| spl0_9 ),
inference(forward_demodulation,[],[f247,f217]) ).
fof(f247,plain,
( ! [X5] :
( sk_c9 != inverse(X5)
| sk_c8 != multiply(X5,sk_c9) )
| ~ spl0_4
| spl0_9 ),
inference(forward_demodulation,[],[f99,f217]) ).
fof(f192,plain,
( spl0_8
| spl0_9 ),
inference(avatar_split_clause,[],[f28,f189,f185]) ).
fof(f178,plain,
( spl0_1
| ~ spl0_4 ),
inference(avatar_contradiction_clause,[],[f177]) ).
fof(f177,plain,
( $false
| spl0_1
| ~ spl0_4 ),
inference(subsumption_resolution,[],[f176,f92]) ).
fof(f176,plain,
( sk_c9 != sk_c8
| spl0_1
| ~ spl0_4 ),
inference(superposition,[],[f170,f58]) ).
fof(f170,plain,
( sk_c9 != inverse(sk_c5)
| spl0_1
| ~ spl0_4 ),
inference(trivial_inequality_removal,[],[f163]) ).
fof(f163,plain,
( sk_c9 != sk_c9
| sk_c9 != inverse(sk_c5)
| spl0_1
| ~ spl0_4 ),
inference(superposition,[],[f160,f112]) ).
fof(f160,plain,
( ! [X5] :
( sk_c9 != multiply(X5,sk_c9)
| sk_c9 != inverse(X5) )
| spl0_1
| ~ spl0_4 ),
inference(forward_demodulation,[],[f159,f92]) ).
fof(f159,plain,
( ! [X5] :
( sk_c9 != inverse(X5)
| sk_c8 != multiply(X5,sk_c9) )
| spl0_1
| ~ spl0_4 ),
inference(forward_demodulation,[],[f99,f92]) ).
fof(f158,plain,
( spl0_1
| ~ spl0_3 ),
inference(avatar_contradiction_clause,[],[f157]) ).
fof(f157,plain,
( $false
| spl0_1
| ~ spl0_3 ),
inference(subsumption_resolution,[],[f156,f92]) ).
fof(f156,plain,
( sk_c9 != sk_c8
| spl0_1
| ~ spl0_3 ),
inference(superposition,[],[f150,f58]) ).
fof(f150,plain,
( sk_c9 != inverse(sk_c5)
| spl0_1
| ~ spl0_3 ),
inference(trivial_inequality_removal,[],[f143]) ).
fof(f143,plain,
( sk_c9 != sk_c9
| sk_c9 != inverse(sk_c5)
| spl0_1
| ~ spl0_3 ),
inference(superposition,[],[f140,f112]) ).
fof(f140,plain,
( ! [X7] :
( sk_c9 != multiply(X7,sk_c9)
| sk_c9 != inverse(X7) )
| spl0_1
| ~ spl0_3 ),
inference(forward_demodulation,[],[f139,f92]) ).
fof(f139,plain,
( ! [X7] :
( sk_c9 != inverse(X7)
| sk_c9 != multiply(X7,sk_c8) )
| spl0_1
| ~ spl0_3 ),
inference(forward_demodulation,[],[f96,f92]) ).
fof(f109,plain,
( spl0_3
| spl0_4
| spl0_5
| spl0_6
| spl0_7
| spl0_7 ),
inference(avatar_split_clause,[],[f47,f107,f107,f104,f101,f98,f95]) ).
fof(f56,plain,
( spl0_1
| spl0_2 ),
inference(avatar_split_clause,[],[f12,f53,f49]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11 % Problem : GRP257-1 : TPTP v8.2.0. Released v2.5.0.
% 0.10/0.13 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.12/0.33 % Computer : n014.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Sun May 19 05:00:52 EDT 2024
% 0.12/0.33 % CPUTime :
% 0.12/0.33 % (13988)Running in auto input_syntax mode. Trying TPTP
% 0.12/0.35 % (13991)WARNING: value z3 for option sas not known
% 0.12/0.35 % (13995)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)
% 0.12/0.35 % (13991)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)
% 0.12/0.35 % (13990)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.12/0.35 % (13994)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)
% 0.12/0.35 % (13992)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.12/0.35 % (13993)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)
% 0.12/0.35 % (13989)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.12/0.36 TRYING [1]
% 0.12/0.36 TRYING [2]
% 0.12/0.36 TRYING [3]
% 0.12/0.36 TRYING [1]
% 0.12/0.37 TRYING [2]
% 0.12/0.37 TRYING [3]
% 0.12/0.37 TRYING [4]
% 0.12/0.40 TRYING [5]
% 0.12/0.40 TRYING [4]
% 0.17/0.41 % (13991)First to succeed.
% 0.17/0.43 % (13991)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-13988"
% 0.17/0.43 % (13991)Refutation found. Thanks to Tanya!
% 0.17/0.43 % SZS status Unsatisfiable for theBenchmark
% 0.17/0.43 % SZS output start Proof for theBenchmark
% See solution above
% 0.17/0.44 % (13991)------------------------------
% 0.17/0.44 % (13991)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.17/0.44 % (13991)Termination reason: Refutation
% 0.17/0.44
% 0.17/0.44 % (13991)Memory used [KB]: 1523
% 0.17/0.44 % (13991)Time elapsed: 0.077 s
% 0.17/0.44 % (13991)Instructions burned: 144 (million)
% 0.17/0.44 % (13988)Success in time 0.096 s
%------------------------------------------------------------------------------