TSTP Solution File: ALG022+1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : ALG022+1 : TPTP v8.1.0. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -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 : Wed Aug 31 15:42:01 EDT 2022
% Result : Theorem 1.87s 0.63s
% Output : Refutation 1.87s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 152
% Syntax : Number of formulae : 734 ( 65 unt; 0 def)
% Number of atoms : 3461 (1712 equ)
% Maximal formula atoms : 180 ( 4 avg)
% Number of connectives : 4815 (2088 ~;2058 |; 546 &)
% ( 123 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 109 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 149 ( 147 usr; 148 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 5 con; 0-2 aty)
% Number of variables : 0 ( 0 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1591,plain,
$false,
inference(avatar_sat_refutation,[],[f282,f346,f365,f757,f763,f784,f794,f804,f809,f815,f825,f826,f841,f842,f843,f870,f876,f893,f899,f905,f906,f911,f916,f944,f960,f966,f967,f979,f990,f1012,f1034,f1040,f1041,f1042,f1043,f1046,f1051,f1063,f1075,f1086,f1087,f1088,f1089,f1090,f1091,f1092,f1093,f1097,f1100,f1106,f1110,f1119,f1127,f1134,f1139,f1148,f1152,f1159,f1164,f1167,f1174,f1178,f1184,f1191,f1196,f1205,f1211,f1218,f1223,f1233,f1238,f1246,f1249,f1256,f1261,f1271,f1277,f1281,f1289,f1299,f1304,f1315,f1321,f1325,f1331,f1336,f1344,f1353,f1356,f1365,f1368,f1376,f1380,f1387,f1394,f1398,f1405,f1410,f1417,f1427,f1434,f1437,f1444,f1448,f1458,f1466,f1474,f1482,f1486,f1493,f1499,f1504,f1511,f1516,f1527,f1531,f1539,f1548,f1556,f1560,f1571,f1576,f1582,f1585]) ).
fof(f1585,plain,
( ~ spl24_11
| ~ spl24_71
| spl24_141 ),
inference(avatar_contradiction_clause,[],[f1584]) ).
fof(f1584,plain,
( $false
| ~ spl24_11
| ~ spl24_71
| spl24_141 ),
inference(subsumption_resolution,[],[f1583,f862]) ).
fof(f862,plain,
( e1 != unit
| spl24_141 ),
inference(avatar_component_clause,[],[f860]) ).
fof(f860,plain,
( spl24_141
<=> e1 = unit ),
introduced(avatar_definition,[new_symbols(naming,[spl24_141])]) ).
fof(f1583,plain,
( e1 = unit
| ~ spl24_11
| ~ spl24_71 ),
inference(forward_demodulation,[],[f303,f554]) ).
fof(f554,plain,
( unit = op(unit,unit)
| ~ spl24_71 ),
inference(avatar_component_clause,[],[f553]) ).
fof(f553,plain,
( spl24_71
<=> unit = op(unit,unit) ),
introduced(avatar_definition,[new_symbols(naming,[spl24_71])]) ).
fof(f303,plain,
( e1 = op(unit,unit)
| ~ spl24_11 ),
inference(avatar_component_clause,[],[f302]) ).
fof(f302,plain,
( spl24_11
<=> e1 = op(unit,unit) ),
introduced(avatar_definition,[new_symbols(naming,[spl24_11])]) ).
fof(f1582,plain,
( ~ spl24_10
| ~ spl24_71
| spl24_156 ),
inference(avatar_contradiction_clause,[],[f1581]) ).
fof(f1581,plain,
( $false
| ~ spl24_10
| ~ spl24_71
| spl24_156 ),
inference(subsumption_resolution,[],[f1580,f948]) ).
fof(f948,plain,
( e2 != unit
| spl24_156 ),
inference(avatar_component_clause,[],[f946]) ).
fof(f946,plain,
( spl24_156
<=> e2 = unit ),
introduced(avatar_definition,[new_symbols(naming,[spl24_156])]) ).
fof(f1580,plain,
( e2 = unit
| ~ spl24_10
| ~ spl24_71 ),
inference(forward_demodulation,[],[f298,f554]) ).
fof(f298,plain,
( e2 = op(unit,unit)
| ~ spl24_10 ),
inference(avatar_component_clause,[],[f297]) ).
fof(f297,plain,
( spl24_10
<=> e2 = op(unit,unit) ),
introduced(avatar_definition,[new_symbols(naming,[spl24_10])]) ).
fof(f1576,plain,
( ~ spl24_20
| ~ spl24_124
| spl24_162 ),
inference(avatar_contradiction_clause,[],[f1575]) ).
fof(f1575,plain,
( $false
| ~ spl24_20
| ~ spl24_124
| spl24_162 ),
inference(subsumption_resolution,[],[f1574,f983]) ).
fof(f983,plain,
( e3 != unit
| spl24_162 ),
inference(avatar_component_clause,[],[f981]) ).
fof(f981,plain,
( spl24_162
<=> e3 = unit ),
introduced(avatar_definition,[new_symbols(naming,[spl24_162])]) ).
fof(f1574,plain,
( e3 = unit
| ~ spl24_20
| ~ spl24_124 ),
inference(backward_demodulation,[],[f772,f345]) ).
fof(f345,plain,
( op(e2,e2) = unit
| ~ spl24_20 ),
inference(avatar_component_clause,[],[f343]) ).
fof(f343,plain,
( spl24_20
<=> op(e2,e2) = unit ),
introduced(avatar_definition,[new_symbols(naming,[spl24_20])]) ).
fof(f772,plain,
( e3 = op(e2,e2)
| ~ spl24_124 ),
inference(avatar_component_clause,[],[f770]) ).
fof(f770,plain,
( spl24_124
<=> e3 = op(e2,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl24_124])]) ).
fof(f1571,plain,
( ~ spl24_71
| ~ spl24_126
| spl24_162 ),
inference(avatar_contradiction_clause,[],[f1570]) ).
fof(f1570,plain,
( $false
| ~ spl24_71
| ~ spl24_126
| spl24_162 ),
inference(subsumption_resolution,[],[f1569,f983]) ).
fof(f1569,plain,
( e3 = unit
| ~ spl24_71
| ~ spl24_126 ),
inference(forward_demodulation,[],[f781,f554]) ).
fof(f781,plain,
( e3 = op(unit,unit)
| ~ spl24_126 ),
inference(avatar_component_clause,[],[f780]) ).
fof(f780,plain,
( spl24_126
<=> e3 = op(unit,unit) ),
introduced(avatar_definition,[new_symbols(naming,[spl24_126])]) ).
fof(f1560,plain,
( ~ spl24_45
| ~ spl24_61
| spl24_120 ),
inference(avatar_contradiction_clause,[],[f1559]) ).
fof(f1559,plain,
( $false
| ~ spl24_45
| ~ spl24_61
| spl24_120 ),
inference(subsumption_resolution,[],[f1558,f514]) ).
fof(f514,plain,
( e2 = op(unit,e2)
| ~ spl24_61 ),
inference(avatar_component_clause,[],[f513]) ).
fof(f513,plain,
( spl24_61
<=> e2 = op(unit,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl24_61])]) ).
fof(f1558,plain,
( e2 != op(unit,e2)
| ~ spl24_45
| ~ spl24_61
| spl24_120 ),
inference(forward_demodulation,[],[f1557,f450]) ).
fof(f450,plain,
( e2 = op(e2,unit)
| ~ spl24_45 ),
inference(avatar_component_clause,[],[f449]) ).
fof(f449,plain,
( spl24_45
<=> e2 = op(e2,unit) ),
introduced(avatar_definition,[new_symbols(naming,[spl24_45])]) ).
fof(f1557,plain,
( op(e2,unit) != op(unit,op(e2,unit))
| ~ spl24_61
| spl24_120 ),
inference(forward_demodulation,[],[f751,f514]) ).
fof(f751,plain,
( op(unit,op(e2,unit)) != op(op(unit,e2),unit)
| spl24_120 ),
inference(avatar_component_clause,[],[f749]) ).
fof(f749,plain,
( spl24_120
<=> op(unit,op(e2,unit)) = op(op(unit,e2),unit) ),
introduced(avatar_definition,[new_symbols(naming,[spl24_120])]) ).
fof(f1556,plain,
( spl24_118
| ~ spl24_130
| ~ spl24_131
| ~ spl24_137
| ~ spl24_179 ),
inference(avatar_contradiction_clause,[],[f1555]) ).
fof(f1555,plain,
( $false
| spl24_118
| ~ spl24_130
| ~ spl24_131
| ~ spl24_137
| ~ spl24_179 ),
inference(subsumption_resolution,[],[f1554,f802]) ).
fof(f802,plain,
( op(e1,e2) = unit
| ~ spl24_130 ),
inference(avatar_component_clause,[],[f801]) ).
fof(f801,plain,
( spl24_130
<=> op(e1,e2) = unit ),
introduced(avatar_definition,[new_symbols(naming,[spl24_130])]) ).
fof(f1554,plain,
( op(e1,e2) != unit
| spl24_118
| ~ spl24_131
| ~ spl24_137
| ~ spl24_179 ),
inference(forward_demodulation,[],[f1553,f839]) ).
fof(f839,plain,
( op(e3,e3) = unit
| ~ spl24_137 ),
inference(avatar_component_clause,[],[f838]) ).
fof(f838,plain,
( spl24_137
<=> op(e3,e3) = unit ),
introduced(avatar_definition,[new_symbols(naming,[spl24_137])]) ).
fof(f1553,plain,
( op(e1,e2) != op(e3,e3)
| spl24_118
| ~ spl24_131
| ~ spl24_179 ),
inference(forward_demodulation,[],[f1552,f807]) ).
fof(f807,plain,
( e3 = op(e1,e1)
| ~ spl24_131 ),
inference(avatar_component_clause,[],[f806]) ).
fof(f806,plain,
( spl24_131
<=> e3 = op(e1,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl24_131])]) ).
fof(f1552,plain,
( op(e1,e2) != op(op(e1,e1),e3)
| spl24_118
| ~ spl24_179 ),
inference(forward_demodulation,[],[f743,f1084]) ).
fof(f1084,plain,
( e2 = op(e1,e3)
| ~ spl24_179 ),
inference(avatar_component_clause,[],[f1083]) ).
fof(f1083,plain,
( spl24_179
<=> e2 = op(e1,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl24_179])]) ).
fof(f743,plain,
( op(op(e1,e1),e3) != op(e1,op(e1,e3))
| spl24_118 ),
inference(avatar_component_clause,[],[f741]) ).
fof(f741,plain,
( spl24_118
<=> op(op(e1,e1),e3) = op(e1,op(e1,e3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl24_118])]) ).
fof(f1548,plain,
( spl24_117
| ~ spl24_121
| ~ spl24_124
| ~ spl24_131
| ~ spl24_173 ),
inference(avatar_contradiction_clause,[],[f1547]) ).
fof(f1547,plain,
( $false
| spl24_117
| ~ spl24_121
| ~ spl24_124
| ~ spl24_131
| ~ spl24_173 ),
inference(subsumption_resolution,[],[f1546,f807]) ).
fof(f1546,plain,
( e3 != op(e1,e1)
| spl24_117
| ~ spl24_121
| ~ spl24_124
| ~ spl24_173 ),
inference(forward_demodulation,[],[f1545,f772]) ).
fof(f1545,plain,
( op(e1,e1) != op(e2,e2)
| spl24_117
| ~ spl24_121
| ~ spl24_173 ),
inference(forward_demodulation,[],[f1544,f1049]) ).
fof(f1049,plain,
( e1 = op(e2,e3)
| ~ spl24_173 ),
inference(avatar_component_clause,[],[f1048]) ).
fof(f1048,plain,
( spl24_173
<=> e1 = op(e2,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl24_173])]) ).
fof(f1544,plain,
( op(e2,e2) != op(op(e2,e3),e1)
| spl24_117
| ~ spl24_121 ),
inference(forward_demodulation,[],[f739,f755]) ).
fof(f755,plain,
( e2 = op(e3,e1)
| ~ spl24_121 ),
inference(avatar_component_clause,[],[f754]) ).
fof(f754,plain,
( spl24_121
<=> e2 = op(e3,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl24_121])]) ).
fof(f739,plain,
( op(op(e2,e3),e1) != op(e2,op(e3,e1))
| spl24_117 ),
inference(avatar_component_clause,[],[f737]) ).
fof(f737,plain,
( spl24_117
<=> op(op(e2,e3),e1) = op(e2,op(e3,e1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl24_117])]) ).
fof(f1539,plain,
( ~ spl24_57
| spl24_116
| ~ spl24_130
| ~ spl24_131
| ~ spl24_173 ),
inference(avatar_contradiction_clause,[],[f1538]) ).
fof(f1538,plain,
( $false
| ~ spl24_57
| spl24_116
| ~ spl24_130
| ~ spl24_131
| ~ spl24_173 ),
inference(subsumption_resolution,[],[f1537,f807]) ).
fof(f1537,plain,
( e3 != op(e1,e1)
| ~ spl24_57
| spl24_116
| ~ spl24_130
| ~ spl24_173 ),
inference(forward_demodulation,[],[f1536,f498]) ).
fof(f498,plain,
( e3 = op(unit,e3)
| ~ spl24_57 ),
inference(avatar_component_clause,[],[f497]) ).
fof(f497,plain,
( spl24_57
<=> e3 = op(unit,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl24_57])]) ).
fof(f1536,plain,
( op(e1,e1) != op(unit,e3)
| spl24_116
| ~ spl24_130
| ~ spl24_173 ),
inference(forward_demodulation,[],[f1535,f802]) ).
fof(f1535,plain,
( op(e1,e1) != op(op(e1,e2),e3)
| spl24_116
| ~ spl24_173 ),
inference(forward_demodulation,[],[f735,f1049]) ).
fof(f735,plain,
( op(op(e1,e2),e3) != op(e1,op(e2,e3))
| spl24_116 ),
inference(avatar_component_clause,[],[f733]) ).
fof(f733,plain,
( spl24_116
<=> op(op(e1,e2),e3) = op(e1,op(e2,e3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl24_116])]) ).
fof(f1531,plain,
( ~ spl24_63
| ~ spl24_71
| spl24_115 ),
inference(avatar_contradiction_clause,[],[f1530]) ).
fof(f1530,plain,
( $false
| ~ spl24_63
| ~ spl24_71
| spl24_115 ),
inference(trivial_inequality_removal,[],[f1529]) ).
fof(f1529,plain,
( op(unit,e1) != op(unit,e1)
| ~ spl24_63
| ~ spl24_71
| spl24_115 ),
inference(forward_demodulation,[],[f1528,f554]) ).
fof(f1528,plain,
( op(unit,e1) != op(op(unit,unit),e1)
| ~ spl24_63
| spl24_115 ),
inference(forward_demodulation,[],[f731,f522]) ).
fof(f522,plain,
( e1 = op(unit,e1)
| ~ spl24_63 ),
inference(avatar_component_clause,[],[f521]) ).
fof(f521,plain,
( spl24_63
<=> e1 = op(unit,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl24_63])]) ).
fof(f731,plain,
( op(op(unit,unit),e1) != op(unit,op(unit,e1))
| spl24_115 ),
inference(avatar_component_clause,[],[f729]) ).
fof(f729,plain,
( spl24_115
<=> op(op(unit,unit),e1) = op(unit,op(unit,e1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl24_115])]) ).
fof(f1527,plain,
( ~ spl24_6
| ~ spl24_63
| ~ spl24_76
| spl24_114
| ~ spl24_130 ),
inference(avatar_contradiction_clause,[],[f1526]) ).
fof(f1526,plain,
( $false
| ~ spl24_6
| ~ spl24_63
| ~ spl24_76
| spl24_114
| ~ spl24_130 ),
inference(subsumption_resolution,[],[f1525,f522]) ).
fof(f1525,plain,
( e1 != op(unit,e1)
| ~ spl24_6
| ~ spl24_76
| spl24_114
| ~ spl24_130 ),
inference(forward_demodulation,[],[f1524,f802]) ).
fof(f1524,plain,
( e1 != op(op(e1,e2),e1)
| ~ spl24_6
| ~ spl24_76
| spl24_114 ),
inference(forward_demodulation,[],[f1523,f574]) ).
fof(f574,plain,
( e1 = op(e1,unit)
| ~ spl24_76 ),
inference(avatar_component_clause,[],[f573]) ).
fof(f573,plain,
( spl24_76
<=> e1 = op(e1,unit) ),
introduced(avatar_definition,[new_symbols(naming,[spl24_76])]) ).
fof(f1523,plain,
( op(op(e1,e2),e1) != op(e1,unit)
| ~ spl24_6
| spl24_114 ),
inference(forward_demodulation,[],[f727,f280]) ).
fof(f280,plain,
( op(e2,e1) = unit
| ~ spl24_6 ),
inference(avatar_component_clause,[],[f279]) ).
fof(f279,plain,
( spl24_6
<=> op(e2,e1) = unit ),
introduced(avatar_definition,[new_symbols(naming,[spl24_6])]) ).
fof(f727,plain,
( op(op(e1,e2),e1) != op(e1,op(e2,e1))
| spl24_114 ),
inference(avatar_component_clause,[],[f725]) ).
fof(f725,plain,
( spl24_114
<=> op(op(e1,e2),e1) = op(e1,op(e2,e1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl24_114])]) ).
fof(f1516,plain,
( ~ spl24_45
| spl24_113
| ~ spl24_137
| ~ spl24_173
| ~ spl24_179 ),
inference(avatar_contradiction_clause,[],[f1515]) ).
fof(f1515,plain,
( $false
| ~ spl24_45
| spl24_113
| ~ spl24_137
| ~ spl24_173
| ~ spl24_179 ),
inference(subsumption_resolution,[],[f1514,f1084]) ).
fof(f1514,plain,
( e2 != op(e1,e3)
| ~ spl24_45
| spl24_113
| ~ spl24_137
| ~ spl24_173 ),
inference(forward_demodulation,[],[f1513,f1049]) ).
fof(f1513,plain,
( e2 != op(op(e2,e3),e3)
| ~ spl24_45
| spl24_113
| ~ spl24_137 ),
inference(forward_demodulation,[],[f1512,f450]) ).
fof(f1512,plain,
( op(op(e2,e3),e3) != op(e2,unit)
| spl24_113
| ~ spl24_137 ),
inference(forward_demodulation,[],[f723,f839]) ).
fof(f723,plain,
( op(op(e2,e3),e3) != op(e2,op(e3,e3))
| spl24_113 ),
inference(avatar_component_clause,[],[f721]) ).
fof(f721,plain,
( spl24_113
<=> op(op(e2,e3),e3) = op(e2,op(e3,e3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl24_113])]) ).
fof(f1511,plain,
( ~ spl24_6
| spl24_112
| ~ spl24_121
| ~ spl24_130
| ~ spl24_179 ),
inference(avatar_contradiction_clause,[],[f1510]) ).
fof(f1510,plain,
( $false
| ~ spl24_6
| spl24_112
| ~ spl24_121
| ~ spl24_130
| ~ spl24_179 ),
inference(subsumption_resolution,[],[f1509,f802]) ).
fof(f1509,plain,
( op(e1,e2) != unit
| ~ spl24_6
| spl24_112
| ~ spl24_121
| ~ spl24_179 ),
inference(forward_demodulation,[],[f1508,f280]) ).
fof(f1508,plain,
( op(e1,e2) != op(e2,e1)
| spl24_112
| ~ spl24_121
| ~ spl24_179 ),
inference(forward_demodulation,[],[f1507,f1084]) ).
fof(f1507,plain,
( op(e1,e2) != op(op(e1,e3),e1)
| spl24_112
| ~ spl24_121 ),
inference(forward_demodulation,[],[f719,f755]) ).
fof(f719,plain,
( op(op(e1,e3),e1) != op(e1,op(e3,e1))
| spl24_112 ),
inference(avatar_component_clause,[],[f717]) ).
fof(f717,plain,
( spl24_112
<=> op(op(e1,e3),e1) = op(e1,op(e3,e1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl24_112])]) ).
fof(f1504,plain,
( ~ spl24_6
| ~ spl24_61
| ~ spl24_71
| spl24_111 ),
inference(avatar_contradiction_clause,[],[f1503]) ).
fof(f1503,plain,
( $false
| ~ spl24_6
| ~ spl24_61
| ~ spl24_71
| spl24_111 ),
inference(subsumption_resolution,[],[f1502,f554]) ).
fof(f1502,plain,
( unit != op(unit,unit)
| ~ spl24_6
| ~ spl24_61
| spl24_111 ),
inference(forward_demodulation,[],[f1501,f280]) ).
fof(f1501,plain,
( op(e2,e1) != op(unit,op(e2,e1))
| ~ spl24_61
| spl24_111 ),
inference(forward_demodulation,[],[f715,f514]) ).
fof(f715,plain,
( op(unit,op(e2,e1)) != op(op(unit,e2),e1)
| spl24_111 ),
inference(avatar_component_clause,[],[f713]) ).
fof(f713,plain,
( spl24_111
<=> op(unit,op(e2,e1)) = op(op(unit,e2),e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl24_111])]) ).
fof(f1499,plain,
( ~ spl24_57
| ~ spl24_76
| spl24_110 ),
inference(avatar_contradiction_clause,[],[f1498]) ).
fof(f1498,plain,
( $false
| ~ spl24_57
| ~ spl24_76
| spl24_110 ),
inference(trivial_inequality_removal,[],[f1497]) ).
fof(f1497,plain,
( op(e1,e3) != op(e1,e3)
| ~ spl24_57
| ~ spl24_76
| spl24_110 ),
inference(forward_demodulation,[],[f1496,f574]) ).
fof(f1496,plain,
( op(e1,e3) != op(op(e1,unit),e3)
| ~ spl24_57
| spl24_110 ),
inference(forward_demodulation,[],[f711,f498]) ).
fof(f711,plain,
( op(op(e1,unit),e3) != op(e1,op(unit,e3))
| spl24_110 ),
inference(avatar_component_clause,[],[f709]) ).
fof(f709,plain,
( spl24_110
<=> op(op(e1,unit),e3) = op(e1,op(unit,e3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl24_110])]) ).
fof(f1493,plain,
( ~ spl24_57
| ~ spl24_71
| spl24_109 ),
inference(avatar_contradiction_clause,[],[f1492]) ).
fof(f1492,plain,
( $false
| ~ spl24_57
| ~ spl24_71
| spl24_109 ),
inference(trivial_inequality_removal,[],[f1491]) ).
fof(f1491,plain,
( op(unit,e3) != op(unit,e3)
| ~ spl24_57
| ~ spl24_71
| spl24_109 ),
inference(forward_demodulation,[],[f1490,f554]) ).
fof(f1490,plain,
( op(unit,e3) != op(op(unit,unit),e3)
| ~ spl24_57
| spl24_109 ),
inference(forward_demodulation,[],[f707,f498]) ).
fof(f707,plain,
( op(op(unit,unit),e3) != op(unit,op(unit,e3))
| spl24_109 ),
inference(avatar_component_clause,[],[f705]) ).
fof(f705,plain,
( spl24_109
<=> op(op(unit,unit),e3) = op(unit,op(unit,e3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl24_109])]) ).
fof(f1486,plain,
( ~ spl24_58
| ~ spl24_61
| spl24_108 ),
inference(avatar_contradiction_clause,[],[f1485]) ).
fof(f1485,plain,
( $false
| ~ spl24_58
| ~ spl24_61
| spl24_108 ),
inference(trivial_inequality_removal,[],[f1484]) ).
fof(f1484,plain,
( op(e3,e2) != op(e3,e2)
| ~ spl24_58
| ~ spl24_61
| spl24_108 ),
inference(forward_demodulation,[],[f1483,f502]) ).
fof(f502,plain,
( e3 = op(e3,unit)
| ~ spl24_58 ),
inference(avatar_component_clause,[],[f501]) ).
fof(f501,plain,
( spl24_58
<=> e3 = op(e3,unit) ),
introduced(avatar_definition,[new_symbols(naming,[spl24_58])]) ).
fof(f1483,plain,
( op(e3,e2) != op(op(e3,unit),e2)
| ~ spl24_61
| spl24_108 ),
inference(forward_demodulation,[],[f703,f514]) ).
fof(f703,plain,
( op(op(e3,unit),e2) != op(e3,op(unit,e2))
| spl24_108 ),
inference(avatar_component_clause,[],[f701]) ).
fof(f701,plain,
( spl24_108
<=> op(op(e3,unit),e2) = op(e3,op(unit,e2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl24_108])]) ).
fof(f1482,plain,
( ~ spl24_58
| spl24_107
| ~ spl24_121
| ~ spl24_124
| ~ spl24_130 ),
inference(avatar_contradiction_clause,[],[f1481]) ).
fof(f1481,plain,
( $false
| ~ spl24_58
| spl24_107
| ~ spl24_121
| ~ spl24_124
| ~ spl24_130 ),
inference(subsumption_resolution,[],[f1480,f772]) ).
fof(f1480,plain,
( e3 != op(e2,e2)
| ~ spl24_58
| spl24_107
| ~ spl24_121
| ~ spl24_130 ),
inference(forward_demodulation,[],[f1479,f755]) ).
fof(f1479,plain,
( e3 != op(op(e3,e1),e2)
| ~ spl24_58
| spl24_107
| ~ spl24_130 ),
inference(forward_demodulation,[],[f1478,f502]) ).
fof(f1478,plain,
( op(op(e3,e1),e2) != op(e3,unit)
| spl24_107
| ~ spl24_130 ),
inference(forward_demodulation,[],[f699,f802]) ).
fof(f699,plain,
( op(op(e3,e1),e2) != op(e3,op(e1,e2))
| spl24_107 ),
inference(avatar_component_clause,[],[f697]) ).
fof(f697,plain,
( spl24_107
<=> op(op(e3,e1),e2) = op(e3,op(e1,e2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl24_107])]) ).
fof(f1474,plain,
( ~ spl24_6
| spl24_106
| ~ spl24_121
| ~ spl24_131
| ~ spl24_137 ),
inference(avatar_contradiction_clause,[],[f1473]) ).
fof(f1473,plain,
( $false
| ~ spl24_6
| spl24_106
| ~ spl24_121
| ~ spl24_131
| ~ spl24_137 ),
inference(subsumption_resolution,[],[f1472,f280]) ).
fof(f1472,plain,
( op(e2,e1) != unit
| spl24_106
| ~ spl24_121
| ~ spl24_131
| ~ spl24_137 ),
inference(forward_demodulation,[],[f1471,f839]) ).
fof(f1471,plain,
( op(e2,e1) != op(e3,e3)
| spl24_106
| ~ spl24_121
| ~ spl24_131 ),
inference(forward_demodulation,[],[f1470,f755]) ).
fof(f1470,plain,
( op(e3,e3) != op(op(e3,e1),e1)
| spl24_106
| ~ spl24_131 ),
inference(forward_demodulation,[],[f695,f807]) ).
fof(f695,plain,
( op(op(e3,e1),e1) != op(e3,op(e1,e1))
| spl24_106 ),
inference(avatar_component_clause,[],[f693]) ).
fof(f693,plain,
( spl24_106
<=> op(op(e3,e1),e1) = op(e3,op(e1,e1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl24_106])]) ).
fof(f1466,plain,
( ~ spl24_6
| ~ spl24_58
| spl24_104
| ~ spl24_131
| ~ spl24_149 ),
inference(avatar_contradiction_clause,[],[f1465]) ).
fof(f1465,plain,
( $false
| ~ spl24_6
| ~ spl24_58
| spl24_104
| ~ spl24_131
| ~ spl24_149 ),
inference(subsumption_resolution,[],[f1464,f807]) ).
fof(f1464,plain,
( e3 != op(e1,e1)
| ~ spl24_6
| ~ spl24_58
| spl24_104
| ~ spl24_149 ),
inference(forward_demodulation,[],[f1463,f909]) ).
fof(f909,plain,
( e1 = op(e3,e2)
| ~ spl24_149 ),
inference(avatar_component_clause,[],[f908]) ).
fof(f908,plain,
( spl24_149
<=> e1 = op(e3,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl24_149])]) ).
fof(f1463,plain,
( e3 != op(op(e3,e2),e1)
| ~ spl24_6
| ~ spl24_58
| spl24_104 ),
inference(forward_demodulation,[],[f1462,f502]) ).
fof(f1462,plain,
( op(op(e3,e2),e1) != op(e3,unit)
| ~ spl24_6
| spl24_104 ),
inference(forward_demodulation,[],[f687,f280]) ).
fof(f687,plain,
( op(op(e3,e2),e1) != op(e3,op(e2,e1))
| spl24_104 ),
inference(avatar_component_clause,[],[f685]) ).
fof(f685,plain,
( spl24_104
<=> op(op(e3,e2),e1) = op(e3,op(e2,e1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl24_104])]) ).
fof(f1458,plain,
( spl24_103
| ~ spl24_121
| ~ spl24_149
| ~ spl24_173
| ~ spl24_179 ),
inference(avatar_contradiction_clause,[],[f1457]) ).
fof(f1457,plain,
( $false
| spl24_103
| ~ spl24_121
| ~ spl24_149
| ~ spl24_173
| ~ spl24_179 ),
inference(subsumption_resolution,[],[f1456,f1049]) ).
fof(f1456,plain,
( e1 != op(e2,e3)
| spl24_103
| ~ spl24_121
| ~ spl24_149
| ~ spl24_179 ),
inference(forward_demodulation,[],[f1455,f909]) ).
fof(f1455,plain,
( op(e2,e3) != op(e3,e2)
| spl24_103
| ~ spl24_121
| ~ spl24_179 ),
inference(forward_demodulation,[],[f1454,f755]) ).
fof(f1454,plain,
( op(e3,e2) != op(op(e3,e1),e3)
| spl24_103
| ~ spl24_179 ),
inference(forward_demodulation,[],[f683,f1084]) ).
fof(f683,plain,
( op(op(e3,e1),e3) != op(e3,op(e1,e3))
| spl24_103 ),
inference(avatar_component_clause,[],[f681]) ).
fof(f681,plain,
( spl24_103
<=> op(op(e3,e1),e3) = op(e3,op(e1,e3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl24_103])]) ).
fof(f1448,plain,
( ~ spl24_58
| ~ spl24_76
| spl24_102
| ~ spl24_131 ),
inference(avatar_contradiction_clause,[],[f1447]) ).
fof(f1447,plain,
( $false
| ~ spl24_58
| ~ spl24_76
| spl24_102
| ~ spl24_131 ),
inference(subsumption_resolution,[],[f1446,f502]) ).
fof(f1446,plain,
( e3 != op(e3,unit)
| ~ spl24_76
| spl24_102
| ~ spl24_131 ),
inference(forward_demodulation,[],[f1445,f807]) ).
fof(f1445,plain,
( op(e1,e1) != op(op(e1,e1),unit)
| ~ spl24_76
| spl24_102 ),
inference(forward_demodulation,[],[f679,f574]) ).
fof(f679,plain,
( op(op(e1,e1),unit) != op(e1,op(e1,unit))
| spl24_102 ),
inference(avatar_component_clause,[],[f677]) ).
fof(f677,plain,
( spl24_102
<=> op(op(e1,e1),unit) = op(e1,op(e1,unit)) ),
introduced(avatar_definition,[new_symbols(naming,[spl24_102])]) ).
fof(f1444,plain,
( ~ spl24_61
| spl24_101
| ~ spl24_121
| ~ spl24_137
| ~ spl24_149 ),
inference(avatar_contradiction_clause,[],[f1443]) ).
fof(f1443,plain,
( $false
| ~ spl24_61
| spl24_101
| ~ spl24_121
| ~ spl24_137
| ~ spl24_149 ),
inference(subsumption_resolution,[],[f1442,f755]) ).
fof(f1442,plain,
( e2 != op(e3,e1)
| ~ spl24_61
| spl24_101
| ~ spl24_137
| ~ spl24_149 ),
inference(forward_demodulation,[],[f1441,f514]) ).
fof(f1441,plain,
( op(e3,e1) != op(unit,e2)
| spl24_101
| ~ spl24_137
| ~ spl24_149 ),
inference(forward_demodulation,[],[f1440,f839]) ).
fof(f1440,plain,
( op(e3,e1) != op(op(e3,e3),e2)
| spl24_101
| ~ spl24_149 ),
inference(forward_demodulation,[],[f675,f909]) ).
fof(f675,plain,
( op(op(e3,e3),e2) != op(e3,op(e3,e2))
| spl24_101 ),
inference(avatar_component_clause,[],[f673]) ).
fof(f673,plain,
( spl24_101
<=> op(op(e3,e3),e2) = op(e3,op(e3,e2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl24_101])]) ).
fof(f1437,plain,
( ~ spl24_71
| spl24_99 ),
inference(avatar_contradiction_clause,[],[f1436]) ).
fof(f1436,plain,
( $false
| ~ spl24_71
| spl24_99 ),
inference(trivial_inequality_removal,[],[f1435]) ).
fof(f1435,plain,
( op(unit,unit) != op(unit,unit)
| ~ spl24_71
| spl24_99 ),
inference(forward_demodulation,[],[f667,f554]) ).
fof(f667,plain,
( op(op(unit,unit),unit) != op(unit,op(unit,unit))
| spl24_99 ),
inference(avatar_component_clause,[],[f665]) ).
fof(f665,plain,
( spl24_99
<=> op(op(unit,unit),unit) = op(unit,op(unit,unit)) ),
introduced(avatar_definition,[new_symbols(naming,[spl24_99])]) ).
fof(f1434,plain,
( spl24_98
| ~ spl24_121
| ~ spl24_131
| ~ spl24_179 ),
inference(avatar_contradiction_clause,[],[f1433]) ).
fof(f1433,plain,
( $false
| spl24_98
| ~ spl24_121
| ~ spl24_131
| ~ spl24_179 ),
inference(subsumption_resolution,[],[f1432,f1084]) ).
fof(f1432,plain,
( e2 != op(e1,e3)
| spl24_98
| ~ spl24_121
| ~ spl24_131 ),
inference(forward_demodulation,[],[f1431,f755]) ).
fof(f1431,plain,
( op(e1,e3) != op(e3,e1)
| spl24_98
| ~ spl24_131 ),
inference(forward_demodulation,[],[f663,f807]) ).
fof(f663,plain,
( op(op(e1,e1),e1) != op(e1,op(e1,e1))
| spl24_98 ),
inference(avatar_component_clause,[],[f661]) ).
fof(f661,plain,
( spl24_98
<=> op(op(e1,e1),e1) = op(e1,op(e1,e1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl24_98])]) ).
fof(f1427,plain,
( ~ spl24_6
| spl24_97
| ~ spl24_124
| ~ spl24_137
| ~ spl24_173 ),
inference(avatar_contradiction_clause,[],[f1426]) ).
fof(f1426,plain,
( $false
| ~ spl24_6
| spl24_97
| ~ spl24_124
| ~ spl24_137
| ~ spl24_173 ),
inference(subsumption_resolution,[],[f1425,f280]) ).
fof(f1425,plain,
( op(e2,e1) != unit
| spl24_97
| ~ spl24_124
| ~ spl24_137
| ~ spl24_173 ),
inference(forward_demodulation,[],[f1424,f839]) ).
fof(f1424,plain,
( op(e2,e1) != op(e3,e3)
| spl24_97
| ~ spl24_124
| ~ spl24_173 ),
inference(forward_demodulation,[],[f1423,f772]) ).
fof(f1423,plain,
( op(e2,e1) != op(op(e2,e2),e3)
| spl24_97
| ~ spl24_173 ),
inference(forward_demodulation,[],[f659,f1049]) ).
fof(f659,plain,
( op(op(e2,e2),e3) != op(e2,op(e2,e3))
| spl24_97 ),
inference(avatar_component_clause,[],[f657]) ).
fof(f657,plain,
( spl24_97
<=> op(op(e2,e2),e3) = op(e2,op(e2,e3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl24_97])]) ).
fof(f1417,plain,
( ~ spl24_63
| ~ spl24_71
| spl24_96
| ~ spl24_130 ),
inference(avatar_contradiction_clause,[],[f1416]) ).
fof(f1416,plain,
( $false
| ~ spl24_63
| ~ spl24_71
| spl24_96
| ~ spl24_130 ),
inference(subsumption_resolution,[],[f1415,f802]) ).
fof(f1415,plain,
( op(e1,e2) != unit
| ~ spl24_63
| ~ spl24_71
| spl24_96
| ~ spl24_130 ),
inference(forward_demodulation,[],[f1414,f554]) ).
fof(f1414,plain,
( op(e1,e2) != op(unit,unit)
| ~ spl24_63
| spl24_96
| ~ spl24_130 ),
inference(forward_demodulation,[],[f1413,f522]) ).
fof(f1413,plain,
( op(unit,unit) != op(op(unit,e1),e2)
| spl24_96
| ~ spl24_130 ),
inference(forward_demodulation,[],[f655,f802]) ).
fof(f655,plain,
( op(op(unit,e1),e2) != op(unit,op(e1,e2))
| spl24_96 ),
inference(avatar_component_clause,[],[f653]) ).
fof(f653,plain,
( spl24_96
<=> op(op(unit,e1),e2) = op(unit,op(e1,e2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl24_96])]) ).
fof(f1410,plain,
( ~ spl24_71
| ~ spl24_76
| spl24_95 ),
inference(avatar_contradiction_clause,[],[f1409]) ).
fof(f1409,plain,
( $false
| ~ spl24_71
| ~ spl24_76
| spl24_95 ),
inference(subsumption_resolution,[],[f1408,f574]) ).
fof(f1408,plain,
( e1 != op(e1,unit)
| ~ spl24_71
| ~ spl24_76
| spl24_95 ),
inference(forward_demodulation,[],[f1407,f574]) ).
fof(f1407,plain,
( op(e1,unit) != op(op(e1,unit),unit)
| ~ spl24_71
| spl24_95 ),
inference(forward_demodulation,[],[f651,f554]) ).
fof(f651,plain,
( op(op(e1,unit),unit) != op(e1,op(unit,unit))
| spl24_95 ),
inference(avatar_component_clause,[],[f649]) ).
fof(f649,plain,
( spl24_95
<=> op(op(e1,unit),unit) = op(e1,op(unit,unit)) ),
introduced(avatar_definition,[new_symbols(naming,[spl24_95])]) ).
fof(f1405,plain,
( ~ spl24_57
| ~ spl24_71
| spl24_94
| ~ spl24_137 ),
inference(avatar_contradiction_clause,[],[f1404]) ).
fof(f1404,plain,
( $false
| ~ spl24_57
| ~ spl24_71
| spl24_94
| ~ spl24_137 ),
inference(subsumption_resolution,[],[f1403,f554]) ).
fof(f1403,plain,
( unit != op(unit,unit)
| ~ spl24_57
| spl24_94
| ~ spl24_137 ),
inference(forward_demodulation,[],[f1402,f839]) ).
fof(f1402,plain,
( op(e3,e3) != op(unit,op(e3,e3))
| ~ spl24_57
| spl24_94 ),
inference(forward_demodulation,[],[f647,f498]) ).
fof(f647,plain,
( op(unit,op(e3,e3)) != op(op(unit,e3),e3)
| spl24_94 ),
inference(avatar_component_clause,[],[f645]) ).
fof(f645,plain,
( spl24_94
<=> op(unit,op(e3,e3)) = op(op(unit,e3),e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl24_94])]) ).
fof(f1398,plain,
( ~ spl24_45
| ~ spl24_57
| spl24_93 ),
inference(avatar_contradiction_clause,[],[f1397]) ).
fof(f1397,plain,
( $false
| ~ spl24_45
| ~ spl24_57
| spl24_93 ),
inference(trivial_inequality_removal,[],[f1396]) ).
fof(f1396,plain,
( op(e2,e3) != op(e2,e3)
| ~ spl24_45
| ~ spl24_57
| spl24_93 ),
inference(forward_demodulation,[],[f1395,f498]) ).
fof(f1395,plain,
( op(e2,e3) != op(e2,op(unit,e3))
| ~ spl24_45
| spl24_93 ),
inference(forward_demodulation,[],[f643,f450]) ).
fof(f643,plain,
( op(e2,op(unit,e3)) != op(op(e2,unit),e3)
| spl24_93 ),
inference(avatar_component_clause,[],[f641]) ).
fof(f641,plain,
( spl24_93
<=> op(e2,op(unit,e3)) = op(op(e2,unit),e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl24_93])]) ).
fof(f1394,plain,
( ~ spl24_76
| spl24_92
| ~ spl24_137
| ~ spl24_173
| ~ spl24_179 ),
inference(avatar_contradiction_clause,[],[f1393]) ).
fof(f1393,plain,
( $false
| ~ spl24_76
| spl24_92
| ~ spl24_137
| ~ spl24_173
| ~ spl24_179 ),
inference(subsumption_resolution,[],[f1392,f1049]) ).
fof(f1392,plain,
( e1 != op(e2,e3)
| ~ spl24_76
| spl24_92
| ~ spl24_137
| ~ spl24_179 ),
inference(forward_demodulation,[],[f1391,f1084]) ).
fof(f1391,plain,
( e1 != op(op(e1,e3),e3)
| ~ spl24_76
| spl24_92
| ~ spl24_137 ),
inference(forward_demodulation,[],[f1390,f574]) ).
fof(f1390,plain,
( op(op(e1,e3),e3) != op(e1,unit)
| spl24_92
| ~ spl24_137 ),
inference(forward_demodulation,[],[f639,f839]) ).
fof(f639,plain,
( op(op(e1,e3),e3) != op(e1,op(e3,e3))
| spl24_92 ),
inference(avatar_component_clause,[],[f637]) ).
fof(f637,plain,
( spl24_92
<=> op(op(e1,e3),e3) = op(e1,op(e3,e3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl24_92])]) ).
fof(f1387,plain,
( ~ spl24_57
| ~ spl24_58
| spl24_91 ),
inference(avatar_contradiction_clause,[],[f1386]) ).
fof(f1386,plain,
( $false
| ~ spl24_57
| ~ spl24_58
| spl24_91 ),
inference(trivial_inequality_removal,[],[f1385]) ).
fof(f1385,plain,
( op(e3,e3) != op(e3,e3)
| ~ spl24_57
| ~ spl24_58
| spl24_91 ),
inference(forward_demodulation,[],[f1384,f502]) ).
fof(f1384,plain,
( op(e3,e3) != op(op(e3,unit),e3)
| ~ spl24_57
| spl24_91 ),
inference(forward_demodulation,[],[f635,f498]) ).
fof(f635,plain,
( op(op(e3,unit),e3) != op(e3,op(unit,e3))
| spl24_91 ),
inference(avatar_component_clause,[],[f633]) ).
fof(f633,plain,
( spl24_91
<=> op(op(e3,unit),e3) = op(e3,op(unit,e3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl24_91])]) ).
fof(f1380,plain,
( spl24_89
| ~ spl24_128
| ~ spl24_137 ),
inference(avatar_contradiction_clause,[],[f1379]) ).
fof(f1379,plain,
( $false
| spl24_89
| ~ spl24_128
| ~ spl24_137 ),
inference(subsumption_resolution,[],[f1378,f839]) ).
fof(f1378,plain,
( op(e3,e3) != unit
| spl24_89
| ~ spl24_128 ),
inference(forward_demodulation,[],[f627,f792]) ).
fof(f792,plain,
( e3 = inv(e3)
| ~ spl24_128 ),
inference(avatar_component_clause,[],[f791]) ).
fof(f791,plain,
( spl24_128
<=> e3 = inv(e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl24_128])]) ).
fof(f627,plain,
( unit != op(e3,inv(e3))
| spl24_89 ),
inference(avatar_component_clause,[],[f625]) ).
fof(f625,plain,
( spl24_89
<=> unit = op(e3,inv(e3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl24_89])]) ).
fof(f1376,plain,
( ~ spl24_45
| ~ spl24_76
| spl24_88
| ~ spl24_149 ),
inference(avatar_contradiction_clause,[],[f1375]) ).
fof(f1375,plain,
( $false
| ~ spl24_45
| ~ spl24_76
| spl24_88
| ~ spl24_149 ),
inference(subsumption_resolution,[],[f1374,f909]) ).
fof(f1374,plain,
( e1 != op(e3,e2)
| ~ spl24_45
| ~ spl24_76
| spl24_88
| ~ spl24_149 ),
inference(forward_demodulation,[],[f1373,f574]) ).
fof(f1373,plain,
( op(e3,e2) != op(e1,unit)
| ~ spl24_45
| spl24_88
| ~ spl24_149 ),
inference(forward_demodulation,[],[f1372,f450]) ).
fof(f1372,plain,
( op(e1,unit) != op(e3,op(e2,unit))
| spl24_88
| ~ spl24_149 ),
inference(forward_demodulation,[],[f623,f909]) ).
fof(f623,plain,
( op(e3,op(e2,unit)) != op(op(e3,e2),unit)
| spl24_88 ),
inference(avatar_component_clause,[],[f621]) ).
fof(f621,plain,
( spl24_88
<=> op(e3,op(e2,unit)) = op(op(e3,e2),unit) ),
introduced(avatar_definition,[new_symbols(naming,[spl24_88])]) ).
fof(f1368,plain,
( ~ spl24_23
| ~ spl24_71
| spl24_87 ),
inference(avatar_contradiction_clause,[],[f1367]) ).
fof(f1367,plain,
( $false
| ~ spl24_23
| ~ spl24_71
| spl24_87 ),
inference(subsumption_resolution,[],[f1366,f554]) ).
fof(f1366,plain,
( unit != op(unit,unit)
| ~ spl24_23
| spl24_87 ),
inference(forward_demodulation,[],[f619,f359]) ).
fof(f359,plain,
( unit = inv(unit)
| ~ spl24_23 ),
inference(avatar_component_clause,[],[f358]) ).
fof(f358,plain,
( spl24_23
<=> unit = inv(unit) ),
introduced(avatar_definition,[new_symbols(naming,[spl24_23])]) ).
fof(f619,plain,
( unit != op(unit,inv(unit))
| spl24_87 ),
inference(avatar_component_clause,[],[f617]) ).
fof(f617,plain,
( spl24_87
<=> unit = op(unit,inv(unit)) ),
introduced(avatar_definition,[new_symbols(naming,[spl24_87])]) ).
fof(f1365,plain,
( ~ spl24_57
| ~ spl24_61
| spl24_86
| ~ spl24_121 ),
inference(avatar_contradiction_clause,[],[f1364]) ).
fof(f1364,plain,
( $false
| ~ spl24_57
| ~ spl24_61
| spl24_86
| ~ spl24_121 ),
inference(subsumption_resolution,[],[f1363,f755]) ).
fof(f1363,plain,
( e2 != op(e3,e1)
| ~ spl24_57
| ~ spl24_61
| spl24_86
| ~ spl24_121 ),
inference(forward_demodulation,[],[f1362,f514]) ).
fof(f1362,plain,
( op(e3,e1) != op(unit,e2)
| ~ spl24_57
| spl24_86
| ~ spl24_121 ),
inference(forward_demodulation,[],[f1361,f498]) ).
fof(f1361,plain,
( op(unit,e2) != op(op(unit,e3),e1)
| spl24_86
| ~ spl24_121 ),
inference(forward_demodulation,[],[f615,f755]) ).
fof(f615,plain,
( op(op(unit,e3),e1) != op(unit,op(e3,e1))
| spl24_86 ),
inference(avatar_component_clause,[],[f613]) ).
fof(f613,plain,
( spl24_86
<=> op(op(unit,e3),e1) = op(unit,op(e3,e1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl24_86])]) ).
fof(f1356,plain,
( spl24_85
| ~ spl24_130
| ~ spl24_150 ),
inference(avatar_contradiction_clause,[],[f1355]) ).
fof(f1355,plain,
( $false
| spl24_85
| ~ spl24_130
| ~ spl24_150 ),
inference(subsumption_resolution,[],[f1354,f802]) ).
fof(f1354,plain,
( op(e1,e2) != unit
| spl24_85
| ~ spl24_150 ),
inference(forward_demodulation,[],[f611,f914]) ).
fof(f914,plain,
( e1 = inv(e2)
| ~ spl24_150 ),
inference(avatar_component_clause,[],[f913]) ).
fof(f913,plain,
( spl24_150
<=> e1 = inv(e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl24_150])]) ).
fof(f611,plain,
( unit != op(inv(e2),e2)
| spl24_85 ),
inference(avatar_component_clause,[],[f609]) ).
fof(f609,plain,
( spl24_85
<=> unit = op(inv(e2),e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl24_85])]) ).
fof(f1353,plain,
( ~ spl24_6
| spl24_84
| ~ spl24_130
| ~ spl24_149
| ~ spl24_173 ),
inference(avatar_contradiction_clause,[],[f1352]) ).
fof(f1352,plain,
( $false
| ~ spl24_6
| spl24_84
| ~ spl24_130
| ~ spl24_149
| ~ spl24_173 ),
inference(subsumption_resolution,[],[f1351,f802]) ).
fof(f1351,plain,
( op(e1,e2) != unit
| ~ spl24_6
| spl24_84
| ~ spl24_149
| ~ spl24_173 ),
inference(forward_demodulation,[],[f1350,f280]) ).
fof(f1350,plain,
( op(e1,e2) != op(e2,e1)
| spl24_84
| ~ spl24_149
| ~ spl24_173 ),
inference(forward_demodulation,[],[f1349,f1049]) ).
fof(f1349,plain,
( op(e2,e1) != op(op(e2,e3),e2)
| spl24_84
| ~ spl24_149 ),
inference(forward_demodulation,[],[f607,f909]) ).
fof(f607,plain,
( op(op(e2,e3),e2) != op(e2,op(e3,e2))
| spl24_84 ),
inference(avatar_component_clause,[],[f605]) ).
fof(f605,plain,
( spl24_84
<=> op(op(e2,e3),e2) = op(e2,op(e3,e2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl24_84])]) ).
fof(f1344,plain,
( ~ spl24_58
| ~ spl24_71
| spl24_83
| ~ spl24_137 ),
inference(avatar_contradiction_clause,[],[f1343]) ).
fof(f1343,plain,
( $false
| ~ spl24_58
| ~ spl24_71
| spl24_83
| ~ spl24_137 ),
inference(subsumption_resolution,[],[f1342,f839]) ).
fof(f1342,plain,
( op(e3,e3) != unit
| ~ spl24_58
| ~ spl24_71
| spl24_83
| ~ spl24_137 ),
inference(forward_demodulation,[],[f1341,f502]) ).
fof(f1341,plain,
( unit != op(e3,op(e3,unit))
| ~ spl24_71
| spl24_83
| ~ spl24_137 ),
inference(forward_demodulation,[],[f1340,f554]) ).
fof(f1340,plain,
( op(e3,op(e3,unit)) != op(unit,unit)
| spl24_83
| ~ spl24_137 ),
inference(forward_demodulation,[],[f603,f839]) ).
fof(f603,plain,
( op(e3,op(e3,unit)) != op(op(e3,e3),unit)
| spl24_83 ),
inference(avatar_component_clause,[],[f601]) ).
fof(f601,plain,
( spl24_83
<=> op(e3,op(e3,unit)) = op(op(e3,e3),unit) ),
introduced(avatar_definition,[new_symbols(naming,[spl24_83])]) ).
fof(f1336,plain,
( spl24_82
| ~ spl24_128
| ~ spl24_137 ),
inference(avatar_contradiction_clause,[],[f1335]) ).
fof(f1335,plain,
( $false
| spl24_82
| ~ spl24_128
| ~ spl24_137 ),
inference(subsumption_resolution,[],[f1334,f839]) ).
fof(f1334,plain,
( op(e3,e3) != unit
| spl24_82
| ~ spl24_128 ),
inference(forward_demodulation,[],[f599,f792]) ).
fof(f599,plain,
( unit != op(inv(e3),e3)
| spl24_82 ),
inference(avatar_component_clause,[],[f597]) ).
fof(f597,plain,
( spl24_82
<=> unit = op(inv(e3),e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl24_82])]) ).
fof(f1331,plain,
( ~ spl24_61
| ~ spl24_63
| spl24_81
| ~ spl24_173 ),
inference(avatar_contradiction_clause,[],[f1330]) ).
fof(f1330,plain,
( $false
| ~ spl24_61
| ~ spl24_63
| spl24_81
| ~ spl24_173 ),
inference(subsumption_resolution,[],[f1329,f1049]) ).
fof(f1329,plain,
( e1 != op(e2,e3)
| ~ spl24_61
| ~ spl24_63
| spl24_81
| ~ spl24_173 ),
inference(forward_demodulation,[],[f1328,f522]) ).
fof(f1328,plain,
( op(e2,e3) != op(unit,e1)
| ~ spl24_61
| spl24_81
| ~ spl24_173 ),
inference(forward_demodulation,[],[f1327,f514]) ).
fof(f1327,plain,
( op(unit,e1) != op(op(unit,e2),e3)
| spl24_81
| ~ spl24_173 ),
inference(forward_demodulation,[],[f595,f1049]) ).
fof(f595,plain,
( op(op(unit,e2),e3) != op(unit,op(e2,e3))
| spl24_81 ),
inference(avatar_component_clause,[],[f593]) ).
fof(f593,plain,
( spl24_81
<=> op(op(unit,e2),e3) = op(unit,op(e2,e3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl24_81])]) ).
fof(f1325,plain,
( ~ spl24_57
| ~ spl24_61
| spl24_79
| ~ spl24_124 ),
inference(avatar_contradiction_clause,[],[f1324]) ).
fof(f1324,plain,
( $false
| ~ spl24_57
| ~ spl24_61
| spl24_79
| ~ spl24_124 ),
inference(subsumption_resolution,[],[f1323,f498]) ).
fof(f1323,plain,
( e3 != op(unit,e3)
| ~ spl24_61
| spl24_79
| ~ spl24_124 ),
inference(forward_demodulation,[],[f1322,f772]) ).
fof(f1322,plain,
( op(e2,e2) != op(unit,op(e2,e2))
| ~ spl24_61
| spl24_79 ),
inference(forward_demodulation,[],[f587,f514]) ).
fof(f587,plain,
( op(unit,op(e2,e2)) != op(op(unit,e2),e2)
| spl24_79 ),
inference(avatar_component_clause,[],[f585]) ).
fof(f585,plain,
( spl24_79
<=> op(unit,op(e2,e2)) = op(op(unit,e2),e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl24_79])]) ).
fof(f1321,plain,
( spl24_78
| ~ spl24_130
| ~ spl24_134 ),
inference(avatar_contradiction_clause,[],[f1320]) ).
fof(f1320,plain,
( $false
| spl24_78
| ~ spl24_130
| ~ spl24_134 ),
inference(subsumption_resolution,[],[f1319,f802]) ).
fof(f1319,plain,
( op(e1,e2) != unit
| spl24_78
| ~ spl24_134 ),
inference(forward_demodulation,[],[f583,f823]) ).
fof(f823,plain,
( e2 = inv(e1)
| ~ spl24_134 ),
inference(avatar_component_clause,[],[f822]) ).
fof(f822,plain,
( spl24_134
<=> e2 = inv(e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl24_134])]) ).
fof(f583,plain,
( unit != op(e1,inv(e1))
| spl24_78 ),
inference(avatar_component_clause,[],[f581]) ).
fof(f581,plain,
( spl24_78
<=> unit = op(e1,inv(e1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl24_78])]) ).
fof(f1315,plain,
( ~ spl24_57
| ~ spl24_63
| spl24_77
| ~ spl24_149 ),
inference(avatar_contradiction_clause,[],[f1314]) ).
fof(f1314,plain,
( $false
| ~ spl24_57
| ~ spl24_63
| spl24_77
| ~ spl24_149 ),
inference(subsumption_resolution,[],[f1313,f909]) ).
fof(f1313,plain,
( e1 != op(e3,e2)
| ~ spl24_57
| ~ spl24_63
| spl24_77
| ~ spl24_149 ),
inference(forward_demodulation,[],[f1312,f522]) ).
fof(f1312,plain,
( op(e3,e2) != op(unit,e1)
| ~ spl24_57
| spl24_77
| ~ spl24_149 ),
inference(forward_demodulation,[],[f1311,f498]) ).
fof(f1311,plain,
( op(unit,e1) != op(op(unit,e3),e2)
| spl24_77
| ~ spl24_149 ),
inference(forward_demodulation,[],[f579,f909]) ).
fof(f579,plain,
( op(op(unit,e3),e2) != op(unit,op(e3,e2))
| spl24_77 ),
inference(avatar_component_clause,[],[f577]) ).
fof(f577,plain,
( spl24_77
<=> op(op(unit,e3),e2) = op(unit,op(e3,e2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl24_77])]) ).
fof(f1304,plain,
( ~ spl24_45
| ~ spl24_58
| spl24_75
| ~ spl24_179 ),
inference(avatar_contradiction_clause,[],[f1303]) ).
fof(f1303,plain,
( $false
| ~ spl24_45
| ~ spl24_58
| spl24_75
| ~ spl24_179 ),
inference(subsumption_resolution,[],[f1302,f1084]) ).
fof(f1302,plain,
( e2 != op(e1,e3)
| ~ spl24_45
| ~ spl24_58
| spl24_75
| ~ spl24_179 ),
inference(forward_demodulation,[],[f1301,f450]) ).
fof(f1301,plain,
( op(e1,e3) != op(e2,unit)
| ~ spl24_58
| spl24_75
| ~ spl24_179 ),
inference(forward_demodulation,[],[f1300,f502]) ).
fof(f1300,plain,
( op(e2,unit) != op(e1,op(e3,unit))
| spl24_75
| ~ spl24_179 ),
inference(forward_demodulation,[],[f571,f1084]) ).
fof(f571,plain,
( op(e1,op(e3,unit)) != op(op(e1,e3),unit)
| spl24_75 ),
inference(avatar_component_clause,[],[f569]) ).
fof(f569,plain,
( spl24_75
<=> op(e1,op(e3,unit)) = op(op(e1,e3),unit) ),
introduced(avatar_definition,[new_symbols(naming,[spl24_75])]) ).
fof(f1299,plain,
( ~ spl24_61
| spl24_74
| ~ spl24_124
| ~ spl24_130
| ~ spl24_179 ),
inference(avatar_contradiction_clause,[],[f1298]) ).
fof(f1298,plain,
( $false
| ~ spl24_61
| spl24_74
| ~ spl24_124
| ~ spl24_130
| ~ spl24_179 ),
inference(subsumption_resolution,[],[f1297,f1084]) ).
fof(f1297,plain,
( e2 != op(e1,e3)
| ~ spl24_61
| spl24_74
| ~ spl24_124
| ~ spl24_130 ),
inference(forward_demodulation,[],[f1296,f514]) ).
fof(f1296,plain,
( op(e1,e3) != op(unit,e2)
| spl24_74
| ~ spl24_124
| ~ spl24_130 ),
inference(forward_demodulation,[],[f1295,f802]) ).
fof(f1295,plain,
( op(e1,e3) != op(op(e1,e2),e2)
| spl24_74
| ~ spl24_124 ),
inference(forward_demodulation,[],[f567,f772]) ).
fof(f567,plain,
( op(op(e1,e2),e2) != op(e1,op(e2,e2))
| spl24_74 ),
inference(avatar_component_clause,[],[f565]) ).
fof(f565,plain,
( spl24_74
<=> op(op(e1,e2),e2) = op(e1,op(e2,e2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl24_74])]) ).
fof(f1289,plain,
( spl24_73
| ~ spl24_76
| ~ spl24_130
| ~ spl24_131
| ~ spl24_149 ),
inference(avatar_contradiction_clause,[],[f1288]) ).
fof(f1288,plain,
( $false
| spl24_73
| ~ spl24_76
| ~ spl24_130
| ~ spl24_131
| ~ spl24_149 ),
inference(subsumption_resolution,[],[f1287,f909]) ).
fof(f1287,plain,
( e1 != op(e3,e2)
| spl24_73
| ~ spl24_76
| ~ spl24_130
| ~ spl24_131 ),
inference(forward_demodulation,[],[f1286,f807]) ).
fof(f1286,plain,
( e1 != op(op(e1,e1),e2)
| spl24_73
| ~ spl24_76
| ~ spl24_130 ),
inference(forward_demodulation,[],[f1285,f574]) ).
fof(f1285,plain,
( op(op(e1,e1),e2) != op(e1,unit)
| spl24_73
| ~ spl24_130 ),
inference(forward_demodulation,[],[f563,f802]) ).
fof(f563,plain,
( op(op(e1,e1),e2) != op(e1,op(e1,e2))
| spl24_73 ),
inference(avatar_component_clause,[],[f561]) ).
fof(f561,plain,
( spl24_73
<=> op(op(e1,e1),e2) = op(e1,op(e1,e2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl24_73])]) ).
fof(f1281,plain,
( ~ spl24_45
| ~ spl24_71
| spl24_72
| ~ spl24_130 ),
inference(avatar_contradiction_clause,[],[f1280]) ).
fof(f1280,plain,
( $false
| ~ spl24_45
| ~ spl24_71
| spl24_72
| ~ spl24_130 ),
inference(subsumption_resolution,[],[f1279,f554]) ).
fof(f1279,plain,
( unit != op(unit,unit)
| ~ spl24_45
| spl24_72
| ~ spl24_130 ),
inference(forward_demodulation,[],[f1278,f802]) ).
fof(f1278,plain,
( op(e1,e2) != op(op(e1,e2),unit)
| ~ spl24_45
| spl24_72 ),
inference(forward_demodulation,[],[f559,f450]) ).
fof(f559,plain,
( op(op(e1,e2),unit) != op(e1,op(e2,unit))
| spl24_72 ),
inference(avatar_component_clause,[],[f557]) ).
fof(f557,plain,
( spl24_72
<=> op(op(e1,e2),unit) = op(e1,op(e2,unit)) ),
introduced(avatar_definition,[new_symbols(naming,[spl24_72])]) ).
fof(f1277,plain,
( ~ spl24_6
| spl24_67
| ~ spl24_71
| ~ spl24_76 ),
inference(avatar_contradiction_clause,[],[f1276]) ).
fof(f1276,plain,
( $false
| ~ spl24_6
| spl24_67
| ~ spl24_71
| ~ spl24_76 ),
inference(subsumption_resolution,[],[f1275,f280]) ).
fof(f1275,plain,
( op(e2,e1) != unit
| ~ spl24_6
| spl24_67
| ~ spl24_71
| ~ spl24_76 ),
inference(forward_demodulation,[],[f1274,f554]) ).
fof(f1274,plain,
( op(e2,e1) != op(unit,unit)
| ~ spl24_6
| spl24_67
| ~ spl24_76 ),
inference(forward_demodulation,[],[f1273,f574]) ).
fof(f1273,plain,
( op(unit,unit) != op(e2,op(e1,unit))
| ~ spl24_6
| spl24_67 ),
inference(forward_demodulation,[],[f539,f280]) ).
fof(f539,plain,
( op(e2,op(e1,unit)) != op(op(e2,e1),unit)
| spl24_67 ),
inference(avatar_component_clause,[],[f537]) ).
fof(f537,plain,
( spl24_67
<=> op(e2,op(e1,unit)) = op(op(e2,e1),unit) ),
introduced(avatar_definition,[new_symbols(naming,[spl24_67])]) ).
fof(f1271,plain,
( ~ spl24_45
| ~ spl24_61
| spl24_66 ),
inference(avatar_contradiction_clause,[],[f1270]) ).
fof(f1270,plain,
( $false
| ~ spl24_45
| ~ spl24_61
| spl24_66 ),
inference(trivial_inequality_removal,[],[f1269]) ).
fof(f1269,plain,
( op(e2,e2) != op(e2,e2)
| ~ spl24_45
| ~ spl24_61
| spl24_66 ),
inference(forward_demodulation,[],[f1268,f450]) ).
fof(f1268,plain,
( op(e2,e2) != op(op(e2,unit),e2)
| ~ spl24_61
| spl24_66 ),
inference(forward_demodulation,[],[f535,f514]) ).
fof(f535,plain,
( op(op(e2,unit),e2) != op(e2,op(unit,e2))
| spl24_66 ),
inference(avatar_component_clause,[],[f533]) ).
fof(f533,plain,
( spl24_66
<=> op(op(e2,unit),e2) = op(e2,op(unit,e2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl24_66])]) ).
fof(f1261,plain,
( spl24_65
| ~ spl24_124
| ~ spl24_131
| ~ spl24_149
| ~ spl24_179 ),
inference(avatar_contradiction_clause,[],[f1260]) ).
fof(f1260,plain,
( $false
| spl24_65
| ~ spl24_124
| ~ spl24_131
| ~ spl24_149
| ~ spl24_179 ),
inference(subsumption_resolution,[],[f1259,f807]) ).
fof(f1259,plain,
( e3 != op(e1,e1)
| spl24_65
| ~ spl24_124
| ~ spl24_149
| ~ spl24_179 ),
inference(forward_demodulation,[],[f1258,f772]) ).
fof(f1258,plain,
( op(e1,e1) != op(e2,e2)
| spl24_65
| ~ spl24_149
| ~ spl24_179 ),
inference(forward_demodulation,[],[f1257,f1084]) ).
fof(f1257,plain,
( op(e1,e1) != op(op(e1,e3),e2)
| spl24_65
| ~ spl24_149 ),
inference(forward_demodulation,[],[f531,f909]) ).
fof(f531,plain,
( op(op(e1,e3),e2) != op(e1,op(e3,e2))
| spl24_65 ),
inference(avatar_component_clause,[],[f529]) ).
fof(f529,plain,
( spl24_65
<=> op(op(e1,e3),e2) = op(e1,op(e3,e2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl24_65])]) ).
fof(f1256,plain,
( ~ spl24_63
| spl24_64
| ~ spl24_121
| ~ spl24_137
| ~ spl24_149 ),
inference(avatar_contradiction_clause,[],[f1255]) ).
fof(f1255,plain,
( $false
| ~ spl24_63
| spl24_64
| ~ spl24_121
| ~ spl24_137
| ~ spl24_149 ),
inference(subsumption_resolution,[],[f1254,f909]) ).
fof(f1254,plain,
( e1 != op(e3,e2)
| ~ spl24_63
| spl24_64
| ~ spl24_121
| ~ spl24_137 ),
inference(forward_demodulation,[],[f1253,f522]) ).
fof(f1253,plain,
( op(e3,e2) != op(unit,e1)
| spl24_64
| ~ spl24_121
| ~ spl24_137 ),
inference(forward_demodulation,[],[f1252,f839]) ).
fof(f1252,plain,
( op(e3,e2) != op(op(e3,e3),e1)
| spl24_64
| ~ spl24_121 ),
inference(forward_demodulation,[],[f527,f755]) ).
fof(f527,plain,
( op(op(e3,e3),e1) != op(e3,op(e3,e1))
| spl24_64 ),
inference(avatar_component_clause,[],[f525]) ).
fof(f525,plain,
( spl24_64
<=> op(op(e3,e3),e1) = op(e3,op(e3,e1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl24_64])]) ).
fof(f1249,plain,
( ~ spl24_6
| spl24_62
| ~ spl24_150 ),
inference(avatar_contradiction_clause,[],[f1248]) ).
fof(f1248,plain,
( $false
| ~ spl24_6
| spl24_62
| ~ spl24_150 ),
inference(subsumption_resolution,[],[f1247,f280]) ).
fof(f1247,plain,
( op(e2,e1) != unit
| spl24_62
| ~ spl24_150 ),
inference(forward_demodulation,[],[f519,f914]) ).
fof(f519,plain,
( unit != op(e2,inv(e2))
| spl24_62 ),
inference(avatar_component_clause,[],[f517]) ).
fof(f517,plain,
( spl24_62
<=> unit = op(e2,inv(e2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl24_62])]) ).
fof(f1246,plain,
( ~ spl24_45
| spl24_60
| ~ spl24_63 ),
inference(avatar_contradiction_clause,[],[f1245]) ).
fof(f1245,plain,
( $false
| ~ spl24_45
| spl24_60
| ~ spl24_63 ),
inference(trivial_inequality_removal,[],[f1244]) ).
fof(f1244,plain,
( op(e2,e1) != op(e2,e1)
| ~ spl24_45
| spl24_60
| ~ spl24_63 ),
inference(forward_demodulation,[],[f1243,f522]) ).
fof(f1243,plain,
( op(e2,e1) != op(e2,op(unit,e1))
| ~ spl24_45
| spl24_60 ),
inference(forward_demodulation,[],[f511,f450]) ).
fof(f511,plain,
( op(e2,op(unit,e1)) != op(op(e2,unit),e1)
| spl24_60 ),
inference(avatar_component_clause,[],[f509]) ).
fof(f509,plain,
( spl24_60
<=> op(e2,op(unit,e1)) = op(op(e2,unit),e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl24_60])]) ).
fof(f1238,plain,
( ~ spl24_6
| ~ spl24_57
| spl24_59
| ~ spl24_124
| ~ spl24_179 ),
inference(avatar_contradiction_clause,[],[f1237]) ).
fof(f1237,plain,
( $false
| ~ spl24_6
| ~ spl24_57
| spl24_59
| ~ spl24_124
| ~ spl24_179 ),
inference(subsumption_resolution,[],[f1236,f772]) ).
fof(f1236,plain,
( e3 != op(e2,e2)
| ~ spl24_6
| ~ spl24_57
| spl24_59
| ~ spl24_179 ),
inference(forward_demodulation,[],[f1235,f498]) ).
fof(f1235,plain,
( op(e2,e2) != op(unit,e3)
| ~ spl24_6
| spl24_59
| ~ spl24_179 ),
inference(forward_demodulation,[],[f1234,f280]) ).
fof(f1234,plain,
( op(e2,e2) != op(op(e2,e1),e3)
| spl24_59
| ~ spl24_179 ),
inference(forward_demodulation,[],[f507,f1084]) ).
fof(f507,plain,
( op(op(e2,e1),e3) != op(e2,op(e1,e3))
| spl24_59 ),
inference(avatar_component_clause,[],[f505]) ).
fof(f505,plain,
( spl24_59
<=> op(op(e2,e1),e3) = op(e2,op(e1,e3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl24_59])]) ).
fof(f1233,plain,
( spl24_56
| ~ spl24_58
| ~ spl24_63 ),
inference(avatar_contradiction_clause,[],[f1232]) ).
fof(f1232,plain,
( $false
| spl24_56
| ~ spl24_58
| ~ spl24_63 ),
inference(trivial_inequality_removal,[],[f1231]) ).
fof(f1231,plain,
( op(e3,e1) != op(e3,e1)
| spl24_56
| ~ spl24_58
| ~ spl24_63 ),
inference(forward_demodulation,[],[f1230,f522]) ).
fof(f1230,plain,
( op(e3,e1) != op(e3,op(unit,e1))
| spl24_56
| ~ spl24_58 ),
inference(forward_demodulation,[],[f495,f502]) ).
fof(f495,plain,
( op(e3,op(unit,e1)) != op(op(e3,unit),e1)
| spl24_56 ),
inference(avatar_component_clause,[],[f493]) ).
fof(f493,plain,
( spl24_56
<=> op(e3,op(unit,e1)) = op(op(e3,unit),e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl24_56])]) ).
fof(f1223,plain,
( spl24_54
| ~ spl24_58
| ~ spl24_76
| ~ spl24_173 ),
inference(avatar_contradiction_clause,[],[f1222]) ).
fof(f1222,plain,
( $false
| spl24_54
| ~ spl24_58
| ~ spl24_76
| ~ spl24_173 ),
inference(subsumption_resolution,[],[f1221,f1049]) ).
fof(f1221,plain,
( e1 != op(e2,e3)
| spl24_54
| ~ spl24_58
| ~ spl24_76
| ~ spl24_173 ),
inference(forward_demodulation,[],[f1220,f574]) ).
fof(f1220,plain,
( op(e2,e3) != op(e1,unit)
| spl24_54
| ~ spl24_58
| ~ spl24_173 ),
inference(forward_demodulation,[],[f1219,f502]) ).
fof(f1219,plain,
( op(e1,unit) != op(e2,op(e3,unit))
| spl24_54
| ~ spl24_173 ),
inference(forward_demodulation,[],[f487,f1049]) ).
fof(f487,plain,
( op(e2,op(e3,unit)) != op(op(e2,e3),unit)
| spl24_54 ),
inference(avatar_component_clause,[],[f485]) ).
fof(f485,plain,
( spl24_54
<=> op(e2,op(e3,unit)) = op(op(e2,e3),unit) ),
introduced(avatar_definition,[new_symbols(naming,[spl24_54])]) ).
fof(f1218,plain,
( spl24_53
| ~ spl24_121
| ~ spl24_149
| ~ spl24_173
| ~ spl24_179 ),
inference(avatar_contradiction_clause,[],[f1217]) ).
fof(f1217,plain,
( $false
| spl24_53
| ~ spl24_121
| ~ spl24_149
| ~ spl24_173
| ~ spl24_179 ),
inference(subsumption_resolution,[],[f1216,f1084]) ).
fof(f1216,plain,
( e2 != op(e1,e3)
| spl24_53
| ~ spl24_121
| ~ spl24_149
| ~ spl24_173 ),
inference(forward_demodulation,[],[f1215,f755]) ).
fof(f1215,plain,
( op(e1,e3) != op(e3,e1)
| spl24_53
| ~ spl24_149
| ~ spl24_173 ),
inference(forward_demodulation,[],[f1214,f909]) ).
fof(f1214,plain,
( op(e3,e1) != op(op(e3,e2),e3)
| spl24_53
| ~ spl24_173 ),
inference(forward_demodulation,[],[f483,f1049]) ).
fof(f483,plain,
( op(op(e3,e2),e3) != op(e3,op(e2,e3))
| spl24_53 ),
inference(avatar_component_clause,[],[f481]) ).
fof(f481,plain,
( spl24_53
<=> op(op(e3,e2),e3) = op(e3,op(e2,e3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl24_53])]) ).
fof(f1211,plain,
( spl24_51
| ~ spl24_61
| ~ spl24_63
| ~ spl24_179 ),
inference(avatar_contradiction_clause,[],[f1210]) ).
fof(f1210,plain,
( $false
| spl24_51
| ~ spl24_61
| ~ spl24_63
| ~ spl24_179 ),
inference(subsumption_resolution,[],[f1209,f514]) ).
fof(f1209,plain,
( e2 != op(unit,e2)
| spl24_51
| ~ spl24_63
| ~ spl24_179 ),
inference(forward_demodulation,[],[f1208,f1084]) ).
fof(f1208,plain,
( op(e1,e3) != op(unit,op(e1,e3))
| spl24_51
| ~ spl24_63 ),
inference(forward_demodulation,[],[f475,f522]) ).
fof(f475,plain,
( op(unit,op(e1,e3)) != op(op(unit,e1),e3)
| spl24_51 ),
inference(avatar_component_clause,[],[f473]) ).
fof(f473,plain,
( spl24_51
<=> op(unit,op(e1,e3)) = op(op(unit,e1),e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl24_51])]) ).
fof(f1205,plain,
( spl24_50
| ~ spl24_61
| ~ spl24_71 ),
inference(avatar_contradiction_clause,[],[f1204]) ).
fof(f1204,plain,
( $false
| spl24_50
| ~ spl24_61
| ~ spl24_71 ),
inference(subsumption_resolution,[],[f1203,f514]) ).
fof(f1203,plain,
( e2 != op(unit,e2)
| spl24_50
| ~ spl24_61
| ~ spl24_71 ),
inference(forward_demodulation,[],[f1202,f514]) ).
fof(f1202,plain,
( op(unit,e2) != op(unit,op(unit,e2))
| spl24_50
| ~ spl24_71 ),
inference(forward_demodulation,[],[f471,f554]) ).
fof(f471,plain,
( op(unit,op(unit,e2)) != op(op(unit,unit),e2)
| spl24_50 ),
inference(avatar_component_clause,[],[f469]) ).
fof(f469,plain,
( spl24_50
<=> op(unit,op(unit,e2)) = op(op(unit,unit),e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl24_50])]) ).
fof(f1196,plain,
( ~ spl24_6
| ~ spl24_45
| spl24_49
| ~ spl24_121
| ~ spl24_124 ),
inference(avatar_contradiction_clause,[],[f1195]) ).
fof(f1195,plain,
( $false
| ~ spl24_6
| ~ spl24_45
| spl24_49
| ~ spl24_121
| ~ spl24_124 ),
inference(subsumption_resolution,[],[f1194,f755]) ).
fof(f1194,plain,
( e2 != op(e3,e1)
| ~ spl24_6
| ~ spl24_45
| spl24_49
| ~ spl24_124 ),
inference(forward_demodulation,[],[f1193,f772]) ).
fof(f1193,plain,
( e2 != op(op(e2,e2),e1)
| ~ spl24_6
| ~ spl24_45
| spl24_49 ),
inference(forward_demodulation,[],[f1192,f450]) ).
fof(f1192,plain,
( op(op(e2,e2),e1) != op(e2,unit)
| ~ spl24_6
| spl24_49 ),
inference(forward_demodulation,[],[f467,f280]) ).
fof(f467,plain,
( op(op(e2,e2),e1) != op(e2,op(e2,e1))
| spl24_49 ),
inference(avatar_component_clause,[],[f465]) ).
fof(f465,plain,
( spl24_49
<=> op(op(e2,e2),e1) = op(e2,op(e2,e1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl24_49])]) ).
fof(f1191,plain,
( spl24_48
| ~ spl24_57
| ~ spl24_58
| ~ spl24_137 ),
inference(avatar_contradiction_clause,[],[f1190]) ).
fof(f1190,plain,
( $false
| spl24_48
| ~ spl24_57
| ~ spl24_58
| ~ spl24_137 ),
inference(subsumption_resolution,[],[f1189,f498]) ).
fof(f1189,plain,
( e3 != op(unit,e3)
| spl24_48
| ~ spl24_58
| ~ spl24_137 ),
inference(forward_demodulation,[],[f1188,f502]) ).
fof(f1188,plain,
( op(unit,e3) != op(e3,unit)
| spl24_48
| ~ spl24_137 ),
inference(forward_demodulation,[],[f463,f839]) ).
fof(f463,plain,
( op(op(e3,e3),e3) != op(e3,op(e3,e3))
| spl24_48 ),
inference(avatar_component_clause,[],[f461]) ).
fof(f461,plain,
( spl24_48
<=> op(op(e3,e3),e3) = op(e3,op(e3,e3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl24_48])]) ).
fof(f1184,plain,
( spl24_47
| ~ spl24_124
| ~ spl24_130
| ~ spl24_137
| ~ spl24_149 ),
inference(avatar_contradiction_clause,[],[f1183]) ).
fof(f1183,plain,
( $false
| spl24_47
| ~ spl24_124
| ~ spl24_130
| ~ spl24_137
| ~ spl24_149 ),
inference(subsumption_resolution,[],[f1182,f802]) ).
fof(f1182,plain,
( op(e1,e2) != unit
| spl24_47
| ~ spl24_124
| ~ spl24_137
| ~ spl24_149 ),
inference(forward_demodulation,[],[f1181,f839]) ).
fof(f1181,plain,
( op(e1,e2) != op(e3,e3)
| spl24_47
| ~ spl24_124
| ~ spl24_149 ),
inference(forward_demodulation,[],[f1180,f909]) ).
fof(f1180,plain,
( op(e3,e3) != op(op(e3,e2),e2)
| spl24_47
| ~ spl24_124 ),
inference(forward_demodulation,[],[f459,f772]) ).
fof(f459,plain,
( op(op(e3,e2),e2) != op(e3,op(e2,e2))
| spl24_47 ),
inference(avatar_component_clause,[],[f457]) ).
fof(f457,plain,
( spl24_47
<=> op(op(e3,e2),e2) = op(e3,op(e2,e2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl24_47])]) ).
fof(f1178,plain,
( ~ spl24_6
| spl24_46
| ~ spl24_134 ),
inference(avatar_contradiction_clause,[],[f1177]) ).
fof(f1177,plain,
( $false
| ~ spl24_6
| spl24_46
| ~ spl24_134 ),
inference(subsumption_resolution,[],[f1176,f280]) ).
fof(f1176,plain,
( op(e2,e1) != unit
| spl24_46
| ~ spl24_134 ),
inference(forward_demodulation,[],[f455,f823]) ).
fof(f455,plain,
( unit != op(inv(e1),e1)
| spl24_46 ),
inference(avatar_component_clause,[],[f453]) ).
fof(f453,plain,
( spl24_46
<=> unit = op(inv(e1),e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl24_46])]) ).
fof(f1174,plain,
( spl24_44
| ~ spl24_61
| ~ spl24_76 ),
inference(avatar_contradiction_clause,[],[f1173]) ).
fof(f1173,plain,
( $false
| spl24_44
| ~ spl24_61
| ~ spl24_76 ),
inference(trivial_inequality_removal,[],[f1172]) ).
fof(f1172,plain,
( op(e1,e2) != op(e1,e2)
| spl24_44
| ~ spl24_61
| ~ spl24_76 ),
inference(forward_demodulation,[],[f1171,f514]) ).
fof(f1171,plain,
( op(e1,e2) != op(e1,op(unit,e2))
| spl24_44
| ~ spl24_76 ),
inference(forward_demodulation,[],[f447,f574]) ).
fof(f447,plain,
( op(e1,op(unit,e2)) != op(op(e1,unit),e2)
| spl24_44 ),
inference(avatar_component_clause,[],[f445]) ).
fof(f445,plain,
( spl24_44
<=> op(e1,op(unit,e2)) = op(op(e1,unit),e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl24_44])]) ).
fof(f1167,plain,
( ~ spl24_23
| spl24_42
| ~ spl24_71 ),
inference(avatar_contradiction_clause,[],[f1166]) ).
fof(f1166,plain,
( $false
| ~ spl24_23
| spl24_42
| ~ spl24_71 ),
inference(subsumption_resolution,[],[f1165,f554]) ).
fof(f1165,plain,
( unit != op(unit,unit)
| ~ spl24_23
| spl24_42 ),
inference(forward_demodulation,[],[f439,f359]) ).
fof(f439,plain,
( unit != op(inv(unit),unit)
| spl24_42 ),
inference(avatar_component_clause,[],[f437]) ).
fof(f437,plain,
( spl24_42
<=> unit = op(inv(unit),unit) ),
introduced(avatar_definition,[new_symbols(naming,[spl24_42])]) ).
fof(f1164,plain,
( spl24_41
| ~ spl24_124
| ~ spl24_149
| ~ spl24_173 ),
inference(avatar_contradiction_clause,[],[f1163]) ).
fof(f1163,plain,
( $false
| spl24_41
| ~ spl24_124
| ~ spl24_149
| ~ spl24_173 ),
inference(subsumption_resolution,[],[f1162,f1049]) ).
fof(f1162,plain,
( e1 != op(e2,e3)
| spl24_41
| ~ spl24_124
| ~ spl24_149 ),
inference(forward_demodulation,[],[f1161,f909]) ).
fof(f1161,plain,
( op(e2,e3) != op(e3,e2)
| spl24_41
| ~ spl24_124 ),
inference(forward_demodulation,[],[f435,f772]) ).
fof(f435,plain,
( op(op(e2,e2),e2) != op(e2,op(e2,e2))
| spl24_41 ),
inference(avatar_component_clause,[],[f433]) ).
fof(f433,plain,
( spl24_41
<=> op(op(e2,e2),e2) = op(e2,op(e2,e2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl24_41])]) ).
fof(f1159,plain,
( spl24_40
| ~ spl24_58
| ~ spl24_71 ),
inference(avatar_contradiction_clause,[],[f1158]) ).
fof(f1158,plain,
( $false
| spl24_40
| ~ spl24_58
| ~ spl24_71 ),
inference(trivial_inequality_removal,[],[f1157]) ).
fof(f1157,plain,
( op(e3,unit) != op(e3,unit)
| spl24_40
| ~ spl24_58
| ~ spl24_71 ),
inference(forward_demodulation,[],[f1156,f554]) ).
fof(f1156,plain,
( op(e3,unit) != op(e3,op(unit,unit))
| spl24_40
| ~ spl24_58 ),
inference(forward_demodulation,[],[f431,f502]) ).
fof(f431,plain,
( op(e3,op(unit,unit)) != op(op(e3,unit),unit)
| spl24_40 ),
inference(avatar_component_clause,[],[f429]) ).
fof(f429,plain,
( spl24_40
<=> op(e3,op(unit,unit)) = op(op(e3,unit),unit) ),
introduced(avatar_definition,[new_symbols(naming,[spl24_40])]) ).
fof(f1152,plain,
( spl24_38
| ~ spl24_63
| ~ spl24_76 ),
inference(avatar_contradiction_clause,[],[f1151]) ).
fof(f1151,plain,
( $false
| spl24_38
| ~ spl24_63
| ~ spl24_76 ),
inference(trivial_inequality_removal,[],[f1150]) ).
fof(f1150,plain,
( op(e1,e1) != op(e1,e1)
| spl24_38
| ~ spl24_63
| ~ spl24_76 ),
inference(forward_demodulation,[],[f1149,f522]) ).
fof(f1149,plain,
( op(e1,e1) != op(e1,op(unit,e1))
| spl24_38
| ~ spl24_76 ),
inference(forward_demodulation,[],[f423,f574]) ).
fof(f423,plain,
( op(e1,op(unit,e1)) != op(op(e1,unit),e1)
| spl24_38 ),
inference(avatar_component_clause,[],[f421]) ).
fof(f421,plain,
( spl24_38
<=> op(e1,op(unit,e1)) = op(op(e1,unit),e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl24_38])]) ).
fof(f1148,plain,
( spl24_37
| ~ spl24_45
| ~ spl24_71 ),
inference(avatar_contradiction_clause,[],[f1147]) ).
fof(f1147,plain,
( $false
| spl24_37
| ~ spl24_45
| ~ spl24_71 ),
inference(subsumption_resolution,[],[f1146,f450]) ).
fof(f1146,plain,
( e2 != op(e2,unit)
| spl24_37
| ~ spl24_45
| ~ spl24_71 ),
inference(forward_demodulation,[],[f1145,f450]) ).
fof(f1145,plain,
( op(e2,unit) != op(op(e2,unit),unit)
| spl24_37
| ~ spl24_71 ),
inference(forward_demodulation,[],[f419,f554]) ).
fof(f419,plain,
( op(op(e2,unit),unit) != op(e2,op(unit,unit))
| spl24_37 ),
inference(avatar_component_clause,[],[f417]) ).
fof(f417,plain,
( spl24_37
<=> op(op(e2,unit),unit) = op(e2,op(unit,unit)) ),
introduced(avatar_definition,[new_symbols(naming,[spl24_37])]) ).
fof(f1139,plain,
( ~ spl24_6
| spl24_36
| ~ spl24_63
| ~ spl24_131
| ~ spl24_173 ),
inference(avatar_contradiction_clause,[],[f1138]) ).
fof(f1138,plain,
( $false
| ~ spl24_6
| spl24_36
| ~ spl24_63
| ~ spl24_131
| ~ spl24_173 ),
inference(subsumption_resolution,[],[f1137,f1049]) ).
fof(f1137,plain,
( e1 != op(e2,e3)
| ~ spl24_6
| spl24_36
| ~ spl24_63
| ~ spl24_131 ),
inference(forward_demodulation,[],[f1136,f522]) ).
fof(f1136,plain,
( op(e2,e3) != op(unit,e1)
| ~ spl24_6
| spl24_36
| ~ spl24_131 ),
inference(forward_demodulation,[],[f1135,f280]) ).
fof(f1135,plain,
( op(e2,e3) != op(op(e2,e1),e1)
| spl24_36
| ~ spl24_131 ),
inference(forward_demodulation,[],[f415,f807]) ).
fof(f415,plain,
( op(op(e2,e1),e1) != op(e2,op(e1,e1))
| spl24_36 ),
inference(avatar_component_clause,[],[f413]) ).
fof(f413,plain,
( spl24_36
<=> op(op(e2,e1),e1) = op(e2,op(e1,e1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl24_36])]) ).
fof(f1134,plain,
( spl24_35
| ~ spl24_45
| ~ spl24_58
| ~ spl24_124 ),
inference(avatar_contradiction_clause,[],[f1133]) ).
fof(f1133,plain,
( $false
| spl24_35
| ~ spl24_45
| ~ spl24_58
| ~ spl24_124 ),
inference(subsumption_resolution,[],[f1132,f502]) ).
fof(f1132,plain,
( e3 != op(e3,unit)
| spl24_35
| ~ spl24_45
| ~ spl24_124 ),
inference(forward_demodulation,[],[f1131,f772]) ).
fof(f1131,plain,
( op(e2,e2) != op(op(e2,e2),unit)
| spl24_35
| ~ spl24_45 ),
inference(forward_demodulation,[],[f411,f450]) ).
fof(f411,plain,
( op(op(e2,e2),unit) != op(e2,op(e2,unit))
| spl24_35 ),
inference(avatar_component_clause,[],[f409]) ).
fof(f409,plain,
( spl24_35
<=> op(op(e2,e2),unit) = op(e2,op(e2,unit)) ),
introduced(avatar_definition,[new_symbols(naming,[spl24_35])]) ).
fof(f1127,plain,
( ~ spl24_6
| spl24_33
| ~ spl24_45
| ~ spl24_61
| ~ spl24_130 ),
inference(avatar_contradiction_clause,[],[f1126]) ).
fof(f1126,plain,
( $false
| ~ spl24_6
| spl24_33
| ~ spl24_45
| ~ spl24_61
| ~ spl24_130 ),
inference(subsumption_resolution,[],[f1125,f514]) ).
fof(f1125,plain,
( e2 != op(unit,e2)
| ~ spl24_6
| spl24_33
| ~ spl24_45
| ~ spl24_130 ),
inference(forward_demodulation,[],[f1124,f280]) ).
fof(f1124,plain,
( e2 != op(op(e2,e1),e2)
| spl24_33
| ~ spl24_45
| ~ spl24_130 ),
inference(forward_demodulation,[],[f1123,f450]) ).
fof(f1123,plain,
( op(op(e2,e1),e2) != op(e2,unit)
| spl24_33
| ~ spl24_130 ),
inference(forward_demodulation,[],[f403,f802]) ).
fof(f403,plain,
( op(op(e2,e1),e2) != op(e2,op(e1,e2))
| spl24_33 ),
inference(avatar_component_clause,[],[f401]) ).
fof(f401,plain,
( spl24_33
<=> op(op(e2,e1),e2) = op(e2,op(e1,e2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl24_33])]) ).
fof(f1119,plain,
( spl24_32
| ~ spl24_45
| ~ spl24_76
| ~ spl24_121 ),
inference(avatar_contradiction_clause,[],[f1118]) ).
fof(f1118,plain,
( $false
| spl24_32
| ~ spl24_45
| ~ spl24_76
| ~ spl24_121 ),
inference(subsumption_resolution,[],[f1117,f755]) ).
fof(f1117,plain,
( e2 != op(e3,e1)
| spl24_32
| ~ spl24_45
| ~ spl24_76
| ~ spl24_121 ),
inference(forward_demodulation,[],[f1116,f450]) ).
fof(f1116,plain,
( op(e3,e1) != op(e2,unit)
| spl24_32
| ~ spl24_76
| ~ spl24_121 ),
inference(forward_demodulation,[],[f1115,f574]) ).
fof(f1115,plain,
( op(e2,unit) != op(e3,op(e1,unit))
| spl24_32
| ~ spl24_121 ),
inference(forward_demodulation,[],[f399,f755]) ).
fof(f399,plain,
( op(e3,op(e1,unit)) != op(op(e3,e1),unit)
| spl24_32 ),
inference(avatar_component_clause,[],[f397]) ).
fof(f397,plain,
( spl24_32
<=> op(e3,op(e1,unit)) = op(op(e3,e1),unit) ),
introduced(avatar_definition,[new_symbols(naming,[spl24_32])]) ).
fof(f1110,plain,
( spl24_31
| ~ spl24_57
| ~ spl24_63
| ~ spl24_131 ),
inference(avatar_contradiction_clause,[],[f1109]) ).
fof(f1109,plain,
( $false
| spl24_31
| ~ spl24_57
| ~ spl24_63
| ~ spl24_131 ),
inference(subsumption_resolution,[],[f1108,f498]) ).
fof(f1108,plain,
( e3 != op(unit,e3)
| spl24_31
| ~ spl24_63
| ~ spl24_131 ),
inference(forward_demodulation,[],[f1107,f807]) ).
fof(f1107,plain,
( op(e1,e1) != op(unit,op(e1,e1))
| spl24_31
| ~ spl24_63 ),
inference(forward_demodulation,[],[f395,f522]) ).
fof(f395,plain,
( op(unit,op(e1,e1)) != op(op(unit,e1),e1)
| spl24_31 ),
inference(avatar_component_clause,[],[f393]) ).
fof(f393,plain,
( spl24_31
<=> op(unit,op(e1,e1)) = op(op(unit,e1),e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl24_31])]) ).
fof(f1106,plain,
( spl24_29
| ~ spl24_63
| ~ spl24_76 ),
inference(avatar_contradiction_clause,[],[f1105]) ).
fof(f1105,plain,
( $false
| spl24_29
| ~ spl24_63
| ~ spl24_76 ),
inference(subsumption_resolution,[],[f1104,f574]) ).
fof(f1104,plain,
( e1 != op(e1,unit)
| spl24_29
| ~ spl24_63
| ~ spl24_76 ),
inference(forward_demodulation,[],[f1103,f522]) ).
fof(f1103,plain,
( op(unit,e1) != op(op(unit,e1),unit)
| spl24_29
| ~ spl24_76 ),
inference(forward_demodulation,[],[f387,f574]) ).
fof(f387,plain,
( op(op(unit,e1),unit) != op(unit,op(e1,unit))
| spl24_29 ),
inference(avatar_component_clause,[],[f385]) ).
fof(f385,plain,
( spl24_29
<=> op(op(unit,e1),unit) = op(unit,op(e1,unit)) ),
introduced(avatar_definition,[new_symbols(naming,[spl24_29])]) ).
fof(f1100,plain,
( spl24_28
| ~ spl24_57
| ~ spl24_58 ),
inference(avatar_contradiction_clause,[],[f1099]) ).
fof(f1099,plain,
( $false
| spl24_28
| ~ spl24_57
| ~ spl24_58 ),
inference(subsumption_resolution,[],[f1098,f502]) ).
fof(f1098,plain,
( e3 != op(e3,unit)
| spl24_28
| ~ spl24_57
| ~ spl24_58 ),
inference(forward_demodulation,[],[f1096,f498]) ).
fof(f1096,plain,
( op(unit,e3) != op(op(unit,e3),unit)
| spl24_28
| ~ spl24_58 ),
inference(forward_demodulation,[],[f383,f502]) ).
fof(f383,plain,
( op(op(unit,e3),unit) != op(unit,op(e3,unit))
| spl24_28 ),
inference(avatar_component_clause,[],[f381]) ).
fof(f381,plain,
( spl24_28
<=> op(op(unit,e3),unit) = op(unit,op(e3,unit)) ),
introduced(avatar_definition,[new_symbols(naming,[spl24_28])]) ).
fof(f1097,plain,
spl24_57,
inference(avatar_split_clause,[],[f245,f497]) ).
fof(f245,plain,
e3 = op(unit,e3),
inference(definition_unfolding,[],[f172,f64]) ).
fof(f64,plain,
e0 = unit,
inference(cnf_transformation,[],[f3]) ).
fof(f3,axiom,
e0 = unit,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax3) ).
fof(f172,plain,
e3 = op(e0,e3),
inference(cnf_transformation,[],[f2]) ).
fof(f2,axiom,
( e2 = op(e3,e1)
& e2 = op(e0,e2)
& e1 = op(e0,e1)
& e2 = op(e2,e0)
& e3 = op(e1,e1)
& e1 = op(e1,e0)
& e0 = op(e0,e0)
& e1 = op(e3,e2)
& e3 = op(e0,e3)
& e3 = op(e3,e0)
& e1 = op(e2,e3)
& e0 = op(e2,e1)
& e3 = op(e2,e2)
& e2 = op(e1,e3)
& e0 = op(e3,e3)
& e0 = op(e1,e2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax2) ).
fof(f1093,plain,
spl24_173,
inference(avatar_split_clause,[],[f170,f1048]) ).
fof(f170,plain,
e1 = op(e2,e3),
inference(cnf_transformation,[],[f2]) ).
fof(f1092,plain,
spl24_179,
inference(avatar_split_clause,[],[f167,f1083]) ).
fof(f167,plain,
e2 = op(e1,e3),
inference(cnf_transformation,[],[f2]) ).
fof(f1091,plain,
spl24_150,
inference(avatar_split_clause,[],[f183,f913]) ).
fof(f183,plain,
e1 = inv(e2),
inference(cnf_transformation,[],[f4]) ).
fof(f4,axiom,
( e0 = inv(e0)
& e1 = inv(e2)
& e3 = inv(e3)
& e2 = inv(e1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax4) ).
fof(f1090,plain,
spl24_128,
inference(avatar_split_clause,[],[f182,f791]) ).
fof(f182,plain,
e3 = inv(e3),
inference(cnf_transformation,[],[f4]) ).
fof(f1089,plain,
~ spl24_156,
inference(avatar_split_clause,[],[f187,f946]) ).
fof(f187,plain,
e2 != unit,
inference(definition_unfolding,[],[f58,f64]) ).
fof(f58,plain,
e0 != e2,
inference(cnf_transformation,[],[f1]) ).
fof(f1,axiom,
( e0 != e1
& e2 != e3
& e1 != e3
& e0 != e3
& e1 != e2
& e0 != e2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax1) ).
fof(f1088,plain,
~ spl24_162,
inference(avatar_split_clause,[],[f186,f981]) ).
fof(f186,plain,
e3 != unit,
inference(definition_unfolding,[],[f60,f64]) ).
fof(f60,plain,
e0 != e3,
inference(cnf_transformation,[],[f1]) ).
fof(f1087,plain,
~ spl24_141,
inference(avatar_split_clause,[],[f185,f860]) ).
fof(f185,plain,
e1 != unit,
inference(definition_unfolding,[],[f63,f64]) ).
fof(f63,plain,
e0 != e1,
inference(cnf_transformation,[],[f1]) ).
fof(f1086,plain,
( ~ spl24_3
| ~ spl24_179 ),
inference(avatar_split_clause,[],[f78,f1083,f266]) ).
fof(f266,plain,
( spl24_3
<=> sP20 ),
introduced(avatar_definition,[new_symbols(naming,[spl24_3])]) ).
fof(f78,plain,
( e2 != op(e1,e3)
| ~ sP20 ),
inference(cnf_transformation,[],[f37]) ).
fof(f37,plain,
( ( e3 != op(e1,e3)
& e0 != op(e1,e3)
& e2 != op(e1,e3)
& e1 != op(e1,e3) )
| ~ sP20 ),
inference(nnf_transformation,[],[f29]) ).
fof(f29,plain,
( ( e3 != op(e1,e3)
& e0 != op(e1,e3)
& e2 != op(e1,e3)
& e1 != op(e1,e3) )
| ~ sP20 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP20])]) ).
fof(f1075,plain,
( ~ spl24_68
| spl24_11 ),
inference(avatar_split_clause,[],[f214,f302,f541]) ).
fof(f541,plain,
( spl24_68
<=> sP12 ),
introduced(avatar_definition,[new_symbols(naming,[spl24_68])]) ).
fof(f214,plain,
( e1 = op(unit,unit)
| ~ sP12 ),
inference(definition_unfolding,[],[f112,f64,f64]) ).
fof(f112,plain,
( e1 = op(e0,e0)
| ~ sP12 ),
inference(cnf_transformation,[],[f45]) ).
fof(f45,plain,
( ( e1 = op(e0,e0)
& e1 = op(e3,e3)
& e1 = op(e2,e2)
& e1 = op(e1,e1) )
| ~ sP12 ),
inference(nnf_transformation,[],[f21]) ).
fof(f21,plain,
( ( e1 = op(e0,e0)
& e1 = op(e3,e3)
& e1 = op(e2,e2)
& e1 = op(e1,e1) )
| ~ sP12 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP12])]) ).
fof(f1063,plain,
spl24_71,
inference(avatar_split_clause,[],[f244,f553]) ).
fof(f244,plain,
unit = op(unit,unit),
inference(definition_unfolding,[],[f174,f64,f64,f64]) ).
fof(f174,plain,
e0 = op(e0,e0),
inference(cnf_transformation,[],[f2]) ).
fof(f1051,plain,
( ~ spl24_173
| ~ spl24_39 ),
inference(avatar_split_clause,[],[f160,f425,f1048]) ).
fof(f425,plain,
( spl24_39
<=> sP0 ),
introduced(avatar_definition,[new_symbols(naming,[spl24_39])]) ).
fof(f160,plain,
( ~ sP0
| e1 != op(e2,e3) ),
inference(cnf_transformation,[],[f57]) ).
fof(f57,plain,
( ( e1 != op(e2,e3)
& e2 != op(e2,e3)
& e0 != op(e2,e3)
& e3 != op(e2,e3) )
| ~ sP0 ),
inference(nnf_transformation,[],[f9]) ).
fof(f9,plain,
( ( e1 != op(e2,e3)
& e2 != op(e2,e3)
& e0 != op(e2,e3)
& e3 != op(e2,e3) )
| ~ sP0 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
fof(f1046,plain,
spl24_134,
inference(avatar_split_clause,[],[f181,f822]) ).
fof(f181,plain,
e2 = inv(e1),
inference(cnf_transformation,[],[f4]) ).
fof(f1043,plain,
( ~ spl24_63
| ~ spl24_100 ),
inference(avatar_split_clause,[],[f218,f669,f521]) ).
fof(f669,plain,
( spl24_100
<=> sP11 ),
introduced(avatar_definition,[new_symbols(naming,[spl24_100])]) ).
fof(f218,plain,
( ~ sP11
| e1 != op(unit,e1) ),
inference(definition_unfolding,[],[f113,f64]) ).
fof(f113,plain,
( e1 != op(e0,e1)
| ~ sP11 ),
inference(cnf_transformation,[],[f46]) ).
fof(f46,plain,
( ( e3 != op(e0,e1)
& e2 != op(e0,e1)
& e0 != op(e0,e1)
& e1 != op(e0,e1) )
| ~ sP11 ),
inference(nnf_transformation,[],[f20]) ).
fof(f20,plain,
( ( e3 != op(e0,e1)
& e2 != op(e0,e1)
& e0 != op(e0,e1)
& e1 != op(e0,e1) )
| ~ sP11 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP11])]) ).
fof(f1042,plain,
( ~ spl24_124
| ~ spl24_69 ),
inference(avatar_split_clause,[],[f143,f545,f770]) ).
fof(f545,plain,
( spl24_69
<=> sP4 ),
introduced(avatar_definition,[new_symbols(naming,[spl24_69])]) ).
fof(f143,plain,
( ~ sP4
| e3 != op(e2,e2) ),
inference(cnf_transformation,[],[f53]) ).
fof(f53,plain,
( ( e1 != op(e2,e2)
& e3 != op(e2,e2)
& e2 != op(e2,e2)
& e0 != op(e2,e2) )
| ~ sP4 ),
inference(nnf_transformation,[],[f13]) ).
fof(f13,plain,
( ( e1 != op(e2,e2)
& e3 != op(e2,e2)
& e2 != op(e2,e2)
& e0 != op(e2,e2) )
| ~ sP4 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP4])]) ).
fof(f1041,plain,
spl24_45,
inference(avatar_split_clause,[],[f242,f449]) ).
fof(f242,plain,
e2 = op(e2,unit),
inference(definition_unfolding,[],[f177,f64]) ).
fof(f177,plain,
e2 = op(e2,e0),
inference(cnf_transformation,[],[f2]) ).
fof(f1040,plain,
( ~ spl24_34
| spl24_10 ),
inference(avatar_split_clause,[],[f224,f297,f405]) ).
fof(f405,plain,
( spl24_34
<=> sP8 ),
introduced(avatar_definition,[new_symbols(naming,[spl24_34])]) ).
fof(f224,plain,
( e2 = op(unit,unit)
| ~ sP8 ),
inference(definition_unfolding,[],[f128,f64,f64]) ).
fof(f128,plain,
( e2 = op(e0,e0)
| ~ sP8 ),
inference(cnf_transformation,[],[f49]) ).
fof(f49,plain,
( ( e2 = op(e0,e0)
& e2 = op(e2,e2)
& e2 = op(e3,e3)
& e2 = op(e1,e1) )
| ~ sP8 ),
inference(nnf_transformation,[],[f17]) ).
fof(f17,plain,
( ( e2 = op(e0,e0)
& e2 = op(e2,e2)
& e2 = op(e3,e3)
& e2 = op(e1,e1) )
| ~ sP8 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP8])]) ).
fof(f1034,plain,
spl24_23,
inference(avatar_split_clause,[],[f250,f358]) ).
fof(f250,plain,
unit = inv(unit),
inference(definition_unfolding,[],[f184,f64,f64]) ).
fof(f184,plain,
e0 = inv(e0),
inference(cnf_transformation,[],[f4]) ).
fof(f1012,plain,
spl24_58,
inference(avatar_split_clause,[],[f246,f501]) ).
fof(f246,plain,
e3 = op(e3,unit),
inference(definition_unfolding,[],[f171,f64]) ).
fof(f171,plain,
e3 = op(e3,e0),
inference(cnf_transformation,[],[f2]) ).
fof(f990,plain,
spl24_76,
inference(avatar_split_clause,[],[f243,f573]) ).
fof(f243,plain,
e1 = op(e1,unit),
inference(definition_unfolding,[],[f175,f64]) ).
fof(f175,plain,
e1 = op(e1,e0),
inference(cnf_transformation,[],[f2]) ).
fof(f979,plain,
( ~ spl24_9
| ~ spl24_71 ),
inference(avatar_split_clause,[],[f201,f553,f293]) ).
fof(f293,plain,
( spl24_9
<=> sP18 ),
introduced(avatar_definition,[new_symbols(naming,[spl24_9])]) ).
fof(f201,plain,
( unit != op(unit,unit)
| ~ sP18 ),
inference(definition_unfolding,[],[f86,f64,f64,f64]) ).
fof(f86,plain,
( e0 != op(e0,e0)
| ~ sP18 ),
inference(cnf_transformation,[],[f39]) ).
fof(f39,plain,
( ( e3 != op(e0,e0)
& e2 != op(e0,e0)
& e0 != op(e0,e0)
& e1 != op(e0,e0) )
| ~ sP18 ),
inference(nnf_transformation,[],[f27]) ).
fof(f27,plain,
( ( e3 != op(e0,e0)
& e2 != op(e0,e0)
& e0 != op(e0,e0)
& e1 != op(e0,e0) )
| ~ sP18 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP18])]) ).
fof(f967,plain,
spl24_6,
inference(avatar_split_clause,[],[f247,f279]) ).
fof(f247,plain,
op(e2,e1) = unit,
inference(definition_unfolding,[],[f169,f64]) ).
fof(f169,plain,
e0 = op(e2,e1),
inference(cnf_transformation,[],[f2]) ).
fof(f966,plain,
spl24_131,
inference(avatar_split_clause,[],[f176,f806]) ).
fof(f176,plain,
e3 = op(e1,e1),
inference(cnf_transformation,[],[f2]) ).
fof(f960,plain,
spl24_121,
inference(avatar_split_clause,[],[f180,f754]) ).
fof(f180,plain,
e2 = op(e3,e1),
inference(cnf_transformation,[],[f2]) ).
fof(f944,plain,
spl24_149,
inference(avatar_split_clause,[],[f173,f908]) ).
fof(f173,plain,
e1 = op(e3,e2),
inference(cnf_transformation,[],[f2]) ).
fof(f916,plain,
( ~ spl24_119
| ~ spl24_150 ),
inference(avatar_split_clause,[],[f82,f913,f745]) ).
fof(f745,plain,
( spl24_119
<=> sP19 ),
introduced(avatar_definition,[new_symbols(naming,[spl24_119])]) ).
fof(f82,plain,
( e1 != inv(e2)
| ~ sP19 ),
inference(cnf_transformation,[],[f38]) ).
fof(f38,plain,
( ( e2 != inv(e2)
& e0 != inv(e2)
& e1 != inv(e2)
& e3 != inv(e2) )
| ~ sP19 ),
inference(nnf_transformation,[],[f28]) ).
fof(f28,plain,
( ( e2 != inv(e2)
& e0 != inv(e2)
& e1 != inv(e2)
& e3 != inv(e2) )
| ~ sP19 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP19])]) ).
fof(f911,plain,
( ~ spl24_52
| ~ spl24_149 ),
inference(avatar_split_clause,[],[f129,f908,f477]) ).
fof(f477,plain,
( spl24_52
<=> sP7 ),
introduced(avatar_definition,[new_symbols(naming,[spl24_52])]) ).
fof(f129,plain,
( e1 != op(e3,e2)
| ~ sP7 ),
inference(cnf_transformation,[],[f50]) ).
fof(f50,plain,
( ( e3 != op(e3,e2)
& e0 != op(e3,e2)
& e2 != op(e3,e2)
& e1 != op(e3,e2) )
| ~ sP7 ),
inference(nnf_transformation,[],[f16]) ).
fof(f16,plain,
( ( e3 != op(e3,e2)
& e0 != op(e3,e2)
& e2 != op(e3,e2)
& e1 != op(e3,e2) )
| ~ sP7 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP7])]) ).
fof(f906,plain,
( ~ spl24_102
| ~ spl24_84
| ~ spl24_71
| ~ spl24_111
| ~ spl24_49
| ~ spl24_101
| ~ spl24_31
| ~ spl24_75
| ~ spl24_62
| ~ spl24_72
| ~ spl24_117
| ~ spl24_95
| spl24_13
| ~ spl24_97
| ~ spl24_120
| spl24_52
| ~ spl24_37
| spl24_119
| spl24_24
| ~ spl24_78
| ~ spl24_88
| ~ spl24_116
| spl24_100
| ~ spl24_42
| ~ spl24_40
| ~ spl24_115
| ~ spl24_108
| ~ spl24_44
| ~ spl24_112
| ~ spl24_103
| ~ spl24_83
| ~ spl24_35
| ~ spl24_63
| ~ spl24_47
| spl24_70
| ~ spl24_32
| spl24_25
| spl24_68
| ~ spl24_36
| spl24_34
| ~ spl24_96
| ~ spl24_76
| ~ spl24_56
| ~ spl24_38
| ~ spl24_86
| ~ spl24_65
| ~ spl24_85
| ~ spl24_93
| ~ spl24_46
| ~ spl24_51
| ~ spl24_57
| ~ spl24_113
| ~ spl24_81
| ~ spl24_64
| spl24_15
| ~ spl24_94
| ~ spl24_110
| spl24_5
| spl24_8
| spl24_80
| ~ spl24_28
| ~ spl24_48
| ~ spl24_33
| ~ spl24_74
| ~ spl24_61
| ~ spl24_54
| spl24_55
| ~ spl24_82
| ~ spl24_41
| ~ spl24_87
| spl24_43
| spl24_90
| ~ spl24_58
| ~ spl24_67
| ~ spl24_29
| spl24_3
| ~ spl24_118
| ~ spl24_73
| spl24_9
| ~ spl24_99
| ~ spl24_79
| spl24_69
| ~ spl24_66
| ~ spl24_106
| spl24_1
| ~ spl24_104
| ~ spl24_59
| ~ spl24_45
| ~ spl24_98
| ~ spl24_89
| ~ spl24_50
| ~ spl24_77
| spl24_19
| ~ spl24_114
| spl24_105
| spl24_16
| spl24_39
| ~ spl24_107
| ~ spl24_92
| ~ spl24_109
| ~ spl24_53
| ~ spl24_91
| ~ spl24_60 ),
inference(avatar_split_clause,[],[f252,f509,f633,f481,f705,f637,f697,f425,f325,f689,f725,f339,f577,f469,f625,f661,f449,f505,f685,f257,f693,f533,f545,f585,f665,f293,f561,f741,f266,f385,f537,f501,f629,f441,f617,f433,f597,f489,f485,f513,f565,f401,f461,f381,f589,f288,f275,f709,f645,f320,f525,f593,f721,f497,f473,f453,f641,f609,f529,f613,f421,f493,f573,f653,f405,f413,f541,f367,f397,f549,f457,f521,f409,f601,f681,f717,f445,f701,f729,f429,f437,f669,f733,f621,f581,f362,f745,f417,f477,f749,f657,f311,f649,f737,f557,f517,f569,f393,f673,f465,f713,f553,f605,f677]) ).
fof(f311,plain,
( spl24_13
<=> sP16 ),
introduced(avatar_definition,[new_symbols(naming,[spl24_13])]) ).
fof(f362,plain,
( spl24_24
<=> sP3 ),
introduced(avatar_definition,[new_symbols(naming,[spl24_24])]) ).
fof(f549,plain,
( spl24_70
<=> sP21 ),
introduced(avatar_definition,[new_symbols(naming,[spl24_70])]) ).
fof(f367,plain,
( spl24_25
<=> sP13 ),
introduced(avatar_definition,[new_symbols(naming,[spl24_25])]) ).
fof(f320,plain,
( spl24_15
<=> sP23 ),
introduced(avatar_definition,[new_symbols(naming,[spl24_15])]) ).
fof(f275,plain,
( spl24_5
<=> sP14 ),
introduced(avatar_definition,[new_symbols(naming,[spl24_5])]) ).
fof(f288,plain,
( spl24_8
<=> sP2 ),
introduced(avatar_definition,[new_symbols(naming,[spl24_8])]) ).
fof(f589,plain,
( spl24_80
<=> sP9 ),
introduced(avatar_definition,[new_symbols(naming,[spl24_80])]) ).
fof(f489,plain,
( spl24_55
<=> sP22 ),
introduced(avatar_definition,[new_symbols(naming,[spl24_55])]) ).
fof(f441,plain,
( spl24_43
<=> sP5 ),
introduced(avatar_definition,[new_symbols(naming,[spl24_43])]) ).
fof(f629,plain,
( spl24_90
<=> sP6 ),
introduced(avatar_definition,[new_symbols(naming,[spl24_90])]) ).
fof(f257,plain,
( spl24_1
<=> sP10 ),
introduced(avatar_definition,[new_symbols(naming,[spl24_1])]) ).
fof(f339,plain,
( spl24_19
<=> sP15 ),
introduced(avatar_definition,[new_symbols(naming,[spl24_19])]) ).
fof(f689,plain,
( spl24_105
<=> sP1 ),
introduced(avatar_definition,[new_symbols(naming,[spl24_105])]) ).
fof(f325,plain,
( spl24_16
<=> sP17 ),
introduced(avatar_definition,[new_symbols(naming,[spl24_16])]) ).
fof(f252,plain,
( op(e2,op(unit,e1)) != op(op(e2,unit),e1)
| op(op(e3,unit),e3) != op(e3,op(unit,e3))
| op(op(e3,e2),e3) != op(e3,op(e2,e3))
| op(op(unit,unit),e3) != op(unit,op(unit,e3))
| op(op(e1,e3),e3) != op(e1,op(e3,e3))
| op(op(e3,e1),e2) != op(e3,op(e1,e2))
| sP0
| sP17
| sP1
| op(op(e1,e2),e1) != op(e1,op(e2,e1))
| sP15
| op(op(unit,e3),e2) != op(unit,op(e3,e2))
| op(unit,op(unit,e2)) != op(op(unit,unit),e2)
| unit != op(e3,inv(e3))
| op(op(e1,e1),e1) != op(e1,op(e1,e1))
| e2 != op(e2,unit)
| op(op(e2,e1),e3) != op(e2,op(e1,e3))
| op(op(e3,e2),e1) != op(e3,op(e2,e1))
| sP10
| op(op(e3,e1),e1) != op(e3,op(e1,e1))
| op(op(e2,unit),e2) != op(e2,op(unit,e2))
| sP4
| op(unit,op(e2,e2)) != op(op(unit,e2),e2)
| op(op(unit,unit),unit) != op(unit,op(unit,unit))
| sP18
| op(op(e1,e1),e2) != op(e1,op(e1,e2))
| op(op(e1,e1),e3) != op(e1,op(e1,e3))
| sP20
| op(op(unit,e1),unit) != op(unit,op(e1,unit))
| op(e2,op(e1,unit)) != op(op(e2,e1),unit)
| e3 != op(e3,unit)
| sP6
| sP5
| unit != op(unit,inv(unit))
| op(op(e2,e2),e2) != op(e2,op(e2,e2))
| unit != op(inv(e3),e3)
| sP22
| op(e2,op(e3,unit)) != op(op(e2,e3),unit)
| e2 != op(unit,e2)
| op(op(e1,e2),e2) != op(e1,op(e2,e2))
| op(op(e2,e1),e2) != op(e2,op(e1,e2))
| op(op(e3,e3),e3) != op(e3,op(e3,e3))
| op(op(unit,e3),unit) != op(unit,op(e3,unit))
| sP9
| sP2
| sP14
| op(op(e1,unit),e3) != op(e1,op(unit,e3))
| op(unit,op(e3,e3)) != op(op(unit,e3),e3)
| sP23
| op(op(e3,e3),e1) != op(e3,op(e3,e1))
| op(op(unit,e2),e3) != op(unit,op(e2,e3))
| op(op(e2,e3),e3) != op(e2,op(e3,e3))
| e3 != op(unit,e3)
| op(unit,op(e1,e3)) != op(op(unit,e1),e3)
| unit != op(inv(e1),e1)
| op(e2,op(unit,e3)) != op(op(e2,unit),e3)
| unit != op(inv(e2),e2)
| op(op(e1,e3),e2) != op(e1,op(e3,e2))
| op(op(unit,e3),e1) != op(unit,op(e3,e1))
| op(e1,op(unit,e1)) != op(op(e1,unit),e1)
| op(e3,op(unit,e1)) != op(op(e3,unit),e1)
| e1 != op(e1,unit)
| op(op(unit,e1),e2) != op(unit,op(e1,e2))
| sP8
| op(op(e2,e1),e1) != op(e2,op(e1,e1))
| sP12
| sP13
| op(e3,op(e1,unit)) != op(op(e3,e1),unit)
| sP21
| op(op(e3,e2),e2) != op(e3,op(e2,e2))
| e1 != op(unit,e1)
| op(op(e2,e2),unit) != op(e2,op(e2,unit))
| op(e3,op(e3,unit)) != op(op(e3,e3),unit)
| op(op(e3,e1),e3) != op(e3,op(e1,e3))
| op(op(e1,e3),e1) != op(e1,op(e3,e1))
| op(e1,op(unit,e2)) != op(op(e1,unit),e2)
| op(op(e3,unit),e2) != op(e3,op(unit,e2))
| op(op(unit,unit),e1) != op(unit,op(unit,e1))
| op(e3,op(unit,unit)) != op(op(e3,unit),unit)
| unit != op(inv(unit),unit)
| sP11
| op(op(e1,e2),e3) != op(e1,op(e2,e3))
| op(e3,op(e2,unit)) != op(op(e3,e2),unit)
| unit != op(e1,inv(e1))
| sP3
| sP19
| op(op(e2,unit),unit) != op(e2,op(unit,unit))
| sP7
| op(unit,op(e2,unit)) != op(op(unit,e2),unit)
| op(op(e2,e2),e3) != op(e2,op(e2,e3))
| sP16
| op(op(e1,unit),unit) != op(e1,op(unit,unit))
| op(op(e2,e3),e1) != op(e2,op(e3,e1))
| op(op(e1,e2),unit) != op(e1,op(e2,unit))
| unit != op(e2,inv(e2))
| op(e1,op(e3,unit)) != op(op(e1,e3),unit)
| op(unit,op(e1,e1)) != op(op(unit,e1),e1)
| op(op(e3,e3),e2) != op(e3,op(e3,e2))
| op(op(e2,e2),e1) != op(e2,op(e2,e1))
| op(unit,op(e2,e1)) != op(op(unit,e2),e1)
| unit != op(unit,unit)
| op(op(e2,e3),e2) != op(e2,op(e3,e2))
| op(op(e1,e1),unit) != op(e1,op(e1,unit)) ),
inference(duplicate_literal_removal,[],[f237]) ).
fof(f237,plain,
( unit != op(inv(e3),e3)
| sP3
| op(op(e1,e1),e1) != op(e1,op(e1,e1))
| op(op(unit,e3),e1) != op(unit,op(e3,e1))
| sP0
| op(op(e1,e2),unit) != op(e1,op(e2,unit))
| op(op(e3,e3),e1) != op(e3,op(e3,e1))
| e1 != op(unit,e1)
| op(op(e2,e3),e3) != op(e2,op(e3,e3))
| op(op(e1,e3),e1) != op(e1,op(e3,e1))
| op(op(e2,e2),e3) != op(e2,op(e2,e3))
| op(op(e1,e3),e2) != op(e1,op(e3,e2))
| sP9
| sP20
| op(e1,op(unit,e1)) != op(op(e1,unit),e1)
| op(op(e2,e1),e3) != op(e2,op(e1,e3))
| op(unit,op(e2,unit)) != op(op(unit,e2),unit)
| op(op(e3,e3),e2) != op(e3,op(e3,e2))
| sP22
| op(e1,op(unit,e2)) != op(op(e1,unit),e2)
| op(unit,op(unit,e2)) != op(op(unit,unit),e2)
| sP14
| sP11
| sP18
| op(op(e3,e2),e1) != op(e3,op(e2,e1))
| op(op(e2,unit),e2) != op(e2,op(unit,e2))
| op(e1,op(e3,unit)) != op(op(e1,e3),unit)
| op(e3,op(e2,unit)) != op(op(e3,e2),unit)
| op(op(e1,e1),e2) != op(e1,op(e1,e2))
| op(op(e1,unit),e3) != op(e1,op(unit,e3))
| op(e3,op(unit,unit)) != op(op(e3,unit),unit)
| op(op(e3,unit),e2) != op(e3,op(unit,e2))
| op(e3,op(e3,unit)) != op(op(e3,e3),unit)
| op(unit,op(e2,e2)) != op(op(unit,e2),e2)
| unit != op(inv(unit),unit)
| sP7
| op(e3,op(e1,unit)) != op(op(e3,e1),unit)
| e3 != op(unit,e3)
| op(unit,op(e3,e3)) != op(op(unit,e3),e3)
| op(op(e1,e2),e3) != op(e1,op(e2,e3))
| op(op(e1,e1),e3) != op(e1,op(e1,e3))
| unit != op(unit,inv(unit))
| op(e2,op(e3,unit)) != op(op(e2,e3),unit)
| op(unit,op(e2,e1)) != op(op(unit,e2),e1)
| op(op(e3,e1),e3) != op(e3,op(e1,e3))
| sP8
| op(op(e3,e2),e3) != op(e3,op(e2,e3))
| op(op(e2,e2),unit) != op(e2,op(e2,unit))
| op(op(e3,unit),e3) != op(e3,op(unit,e3))
| op(op(e1,e2),e1) != op(e1,op(e2,e1))
| unit != op(inv(e2),e2)
| op(op(e1,e2),e2) != op(e1,op(e2,e2))
| sP13
| sP4
| op(e2,op(unit,e1)) != op(op(e2,unit),e1)
| unit != op(e2,inv(e2))
| sP19
| sP12
| op(op(unit,unit),e1) != op(unit,op(unit,e1))
| op(op(e3,e1),e2) != op(e3,op(e1,e2))
| sP21
| sP2
| sP6
| op(op(unit,unit),unit) != op(unit,op(unit,unit))
| op(op(e2,e3),e2) != op(e2,op(e3,e2))
| op(e2,op(e1,unit)) != op(op(e2,e1),unit)
| op(op(e2,e2),e1) != op(e2,op(e2,e1))
| unit != op(unit,unit)
| op(e3,op(unit,e1)) != op(op(e3,unit),e1)
| op(op(e2,unit),unit) != op(e2,op(unit,unit))
| op(e2,op(unit,e3)) != op(op(e2,unit),e3)
| e1 != op(e1,unit)
| unit != op(inv(e1),e1)
| op(op(e3,e2),e2) != op(e3,op(e2,e2))
| op(op(e2,e1),e1) != op(e2,op(e1,e1))
| op(unit,op(e1,e3)) != op(op(unit,e1),e3)
| sP23
| op(op(e1,e1),unit) != op(e1,op(e1,unit))
| op(op(unit,e1),e2) != op(unit,op(e1,e2))
| sP15
| e3 != op(e3,unit)
| e2 != op(unit,e2)
| unit != op(e3,inv(e3))
| sP17
| op(op(unit,e3),unit) != op(unit,op(e3,unit))
| op(op(unit,e2),e3) != op(unit,op(e2,e3))
| op(op(e2,e2),e2) != op(e2,op(e2,e2))
| sP1
| op(unit,op(e1,e1)) != op(op(unit,e1),e1)
| sP5
| op(op(e3,e1),e1) != op(e3,op(e1,e1))
| op(op(e1,e3),e3) != op(e1,op(e3,e3))
| sP16
| op(op(e2,e1),e2) != op(e2,op(e1,e2))
| op(op(e2,e3),e1) != op(e2,op(e3,e1))
| sP10
| op(op(e1,unit),unit) != op(e1,op(unit,unit))
| op(op(unit,e3),e2) != op(unit,op(e3,e2))
| op(op(e3,e3),e3) != op(e3,op(e3,e3))
| unit != op(e1,inv(e1))
| e2 != op(e2,unit)
| unit != op(unit,unit)
| op(op(unit,e1),unit) != op(unit,op(e1,unit))
| op(op(unit,unit),e3) != op(unit,op(unit,e3))
| e1 != op(e1,unit) ),
inference(definition_unfolding,[],[f163,f64,f64,f64,f64,f64,f64,f64,f64,f64,f64,f64,f64,f64,f64,f64,f64,f64,f64,f64,f64,f64,f64,f64,f64,f64,f64,f64,f64,f64,f64,f64,f64,f64,f64,f64,f64,f64,f64,f64,f64,f64,f64,f64,f64,f64,f64,f64,f64,f64,f64,f64,f64,f64,f64,f64,f64,f64,f64,f64,f64,f64,f64,f64,f64,f64,f64,f64,f64,f64,f64,f64,f64,f64,f64,f64,f64,f64,f64,f64,f64,f64,f64,f64,f64,f64,f64,f64,f64,f64,f64,f64,f64,f64,f64,f64,f64,f64,f64,f64,f64,f64,f64,f64,f64,f64]) ).
fof(f163,plain,
( e1 != op(e1,e0)
| op(op(e1,e2),e1) != op(e1,op(e2,e1))
| sP23
| sP22
| op(op(e2,e3),e2) != op(e2,op(e3,e2))
| op(op(e1,e2),e3) != op(e1,op(e2,e3))
| unit != op(inv(e3),e3)
| op(op(e1,e0),e2) != op(e1,op(e0,e2))
| op(op(e3,e1),e1) != op(e3,op(e1,e1))
| e0 != op(unit,e0)
| sP21
| op(op(e3,e3),e3) != op(e3,op(e3,e3))
| op(op(e0,e0),e1) != op(e0,op(e0,e1))
| op(op(e3,e3),e2) != op(e3,op(e3,e2))
| unit != op(e1,inv(e1))
| op(op(e1,e2),e0) != op(e1,op(e2,e0))
| sP20
| unit != op(inv(e0),e0)
| op(op(e2,e3),e1) != op(e2,op(e3,e1))
| op(op(e0,e3),e3) != op(e0,op(e3,e3))
| op(op(e0,e0),e2) != op(e0,op(e0,e2))
| op(op(e0,e1),e0) != op(e0,op(e1,e0))
| op(op(e2,e1),e2) != op(e2,op(e1,e2))
| op(op(e2,e1),e1) != op(e2,op(e1,e1))
| op(op(e1,e1),e0) != op(e1,op(e1,e0))
| op(op(e3,e0),e1) != op(e3,op(e0,e1))
| sP19
| unit != op(e0,inv(e0))
| op(op(e2,e0),e3) != op(e2,op(e0,e3))
| op(op(e1,e1),e3) != op(e1,op(e1,e3))
| op(op(e2,e3),e3) != op(e2,op(e3,e3))
| op(op(e2,e0),e0) != op(e2,op(e0,e0))
| op(op(e0,e2),e2) != op(e0,op(e2,e2))
| op(op(e3,e2),e0) != op(e3,op(e2,e0))
| op(op(e0,e1),e2) != op(e0,op(e1,e2))
| op(op(e3,e0),e2) != op(e3,op(e0,e2))
| op(op(e1,e3),e0) != op(e1,op(e3,e0))
| op(op(e3,e1),e0) != op(e3,op(e1,e0))
| sP18
| unit != op(e3,inv(e3))
| op(op(e2,e2),e0) != op(e2,op(e2,e0))
| sP17
| op(op(e2,e3),e0) != op(e2,op(e3,e0))
| op(op(e2,e1),e3) != op(e2,op(e1,e3))
| op(op(e0,e2),e3) != op(e0,op(e2,e3))
| sP16
| op(op(e3,e3),e1) != op(e3,op(e3,e1))
| op(op(e1,e3),e2) != op(e1,op(e3,e2))
| op(op(e1,e2),e2) != op(e1,op(e2,e2))
| sP15
| op(op(e1,e3),e1) != op(e1,op(e3,e1))
| sP14
| op(op(e0,e0),e0) != op(e0,op(e0,e0))
| op(op(e0,e2),e0) != op(e0,op(e2,e0))
| op(op(e3,e3),e0) != op(e3,op(e3,e0))
| sP13
| sP12
| e1 != op(e1,unit)
| e2 != op(unit,e2)
| op(op(e1,e3),e3) != op(e1,op(e3,e3))
| op(op(e3,e2),e3) != op(e3,op(e2,e3))
| sP11
| op(op(e1,e0),e3) != op(e1,op(e0,e3))
| unit != op(inv(e2),e2)
| op(op(e1,e1),e2) != op(e1,op(e1,e2))
| op(op(e0,e1),e1) != op(e0,op(e1,e1))
| unit != op(inv(e1),e1)
| op(op(e1,e1),e1) != op(e1,op(e1,e1))
| op(op(e2,e0),e1) != op(e2,op(e0,e1))
| op(op(e1,e0),e1) != op(e1,op(e0,e1))
| op(op(e2,e2),e1) != op(e2,op(e2,e1))
| op(op(e3,e1),e3) != op(e3,op(e1,e3))
| sP10
| op(op(e2,e2),e3) != op(e2,op(e2,e3))
| sP9
| sP8
| e0 != op(e0,unit)
| sP7
| op(op(e3,e0),e0) != op(e3,op(e0,e0))
| sP6
| sP5
| op(op(e0,e3),e0) != op(e0,op(e3,e0))
| op(op(e0,e1),e3) != op(e0,op(e1,e3))
| e2 != op(e2,unit)
| op(op(e3,e1),e2) != op(e3,op(e1,e2))
| op(op(e2,e0),e2) != op(e2,op(e0,e2))
| e3 != op(e3,unit)
| e3 != op(unit,e3)
| op(op(e0,e3),e1) != op(e0,op(e3,e1))
| unit != op(e2,inv(e2))
| e1 != op(unit,e1)
| op(op(e3,e2),e1) != op(e3,op(e2,e1))
| op(op(e0,e0),e3) != op(e0,op(e0,e3))
| op(op(e3,e0),e3) != op(e3,op(e0,e3))
| sP4
| op(op(e0,e2),e1) != op(e0,op(e2,e1))
| sP3
| op(op(e1,e0),e0) != op(e1,op(e0,e0))
| op(op(e0,e3),e2) != op(e0,op(e3,e2))
| sP2
| op(op(e2,e2),e2) != op(e2,op(e2,e2))
| op(op(e2,e1),e0) != op(e2,op(e1,e0))
| op(op(e3,e2),e2) != op(e3,op(e2,e2))
| sP1
| sP0 ),
inference(cnf_transformation,[],[f33]) ).
fof(f33,plain,
( ( e2 != op(e1,e0)
& e1 != op(e1,e0)
& e0 != op(e1,e0)
& e3 != op(e1,e0) )
| op(op(e1,e2),e1) != op(e1,op(e2,e1))
| sP23
| sP22
| op(op(e2,e3),e2) != op(e2,op(e3,e2))
| op(op(e1,e2),e3) != op(e1,op(e2,e3))
| unit != op(inv(e3),e3)
| op(op(e1,e0),e2) != op(e1,op(e0,e2))
| op(op(e3,e1),e1) != op(e3,op(e1,e1))
| e0 != op(unit,e0)
| sP21
| op(op(e3,e3),e3) != op(e3,op(e3,e3))
| op(op(e0,e0),e1) != op(e0,op(e0,e1))
| op(op(e3,e3),e2) != op(e3,op(e3,e2))
| unit != op(e1,inv(e1))
| op(op(e1,e2),e0) != op(e1,op(e2,e0))
| sP20
| unit != op(inv(e0),e0)
| op(op(e2,e3),e1) != op(e2,op(e3,e1))
| op(op(e0,e3),e3) != op(e0,op(e3,e3))
| op(op(e0,e0),e2) != op(e0,op(e0,e2))
| op(op(e0,e1),e0) != op(e0,op(e1,e0))
| op(op(e2,e1),e2) != op(e2,op(e1,e2))
| op(op(e2,e1),e1) != op(e2,op(e1,e1))
| op(op(e1,e1),e0) != op(e1,op(e1,e0))
| op(op(e3,e0),e1) != op(e3,op(e0,e1))
| sP19
| unit != op(e0,inv(e0))
| op(op(e2,e0),e3) != op(e2,op(e0,e3))
| op(op(e1,e1),e3) != op(e1,op(e1,e3))
| op(op(e2,e3),e3) != op(e2,op(e3,e3))
| op(op(e2,e0),e0) != op(e2,op(e0,e0))
| op(op(e0,e2),e2) != op(e0,op(e2,e2))
| op(op(e3,e2),e0) != op(e3,op(e2,e0))
| op(op(e0,e1),e2) != op(e0,op(e1,e2))
| op(op(e3,e0),e2) != op(e3,op(e0,e2))
| op(op(e1,e3),e0) != op(e1,op(e3,e0))
| op(op(e3,e1),e0) != op(e3,op(e1,e0))
| sP18
| unit != op(e3,inv(e3))
| op(op(e2,e2),e0) != op(e2,op(e2,e0))
| sP17
| op(op(e2,e3),e0) != op(e2,op(e3,e0))
| op(op(e2,e1),e3) != op(e2,op(e1,e3))
| op(op(e0,e2),e3) != op(e0,op(e2,e3))
| sP16
| op(op(e3,e3),e1) != op(e3,op(e3,e1))
| op(op(e1,e3),e2) != op(e1,op(e3,e2))
| op(op(e1,e2),e2) != op(e1,op(e2,e2))
| sP15
| op(op(e1,e3),e1) != op(e1,op(e3,e1))
| sP14
| op(op(e0,e0),e0) != op(e0,op(e0,e0))
| op(op(e0,e2),e0) != op(e0,op(e2,e0))
| op(op(e3,e3),e0) != op(e3,op(e3,e0))
| sP13
| sP12
| e1 != op(e1,unit)
| e2 != op(unit,e2)
| op(op(e1,e3),e3) != op(e1,op(e3,e3))
| op(op(e3,e2),e3) != op(e3,op(e2,e3))
| sP11
| op(op(e1,e0),e3) != op(e1,op(e0,e3))
| unit != op(inv(e2),e2)
| op(op(e1,e1),e2) != op(e1,op(e1,e2))
| op(op(e0,e1),e1) != op(e0,op(e1,e1))
| unit != op(inv(e1),e1)
| op(op(e1,e1),e1) != op(e1,op(e1,e1))
| op(op(e2,e0),e1) != op(e2,op(e0,e1))
| op(op(e1,e0),e1) != op(e1,op(e0,e1))
| op(op(e2,e2),e1) != op(e2,op(e2,e1))
| op(op(e3,e1),e3) != op(e3,op(e1,e3))
| sP10
| op(op(e2,e2),e3) != op(e2,op(e2,e3))
| sP9
| sP8
| e0 != op(e0,unit)
| sP7
| op(op(e3,e0),e0) != op(e3,op(e0,e0))
| sP6
| sP5
| op(op(e0,e3),e0) != op(e0,op(e3,e0))
| op(op(e0,e1),e3) != op(e0,op(e1,e3))
| e2 != op(e2,unit)
| op(op(e3,e1),e2) != op(e3,op(e1,e2))
| op(op(e2,e0),e2) != op(e2,op(e0,e2))
| e3 != op(e3,unit)
| e3 != op(unit,e3)
| op(op(e0,e3),e1) != op(e0,op(e3,e1))
| unit != op(e2,inv(e2))
| e1 != op(unit,e1)
| op(op(e3,e2),e1) != op(e3,op(e2,e1))
| op(op(e0,e0),e3) != op(e0,op(e0,e3))
| op(op(e3,e0),e3) != op(e3,op(e0,e3))
| sP4
| op(op(e0,e2),e1) != op(e0,op(e2,e1))
| sP3
| op(op(e1,e0),e0) != op(e1,op(e0,e0))
| op(op(e0,e3),e2) != op(e0,op(e3,e2))
| sP2
| op(op(e2,e2),e2) != op(e2,op(e2,e2))
| op(op(e2,e1),e0) != op(e2,op(e1,e0))
| op(op(e3,e2),e2) != op(e3,op(e2,e2))
| sP1
| sP0 ),
inference(definition_folding,[],[f8,f32,f31,f30,f29,f28,f27,f26,f25,f24,f23,f22,f21,f20,f19,f18,f17,f16,f15,f14,f13,f12,f11,f10,f9]) ).
fof(f10,plain,
( ( e3 != inv(e1)
& e1 != inv(e1)
& e2 != inv(e1)
& e0 != inv(e1) )
| ~ sP1 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])]) ).
fof(f11,plain,
( ( e3 != op(e1,e1)
& e2 != op(e1,e1)
& e1 != op(e1,e1)
& e0 != op(e1,e1) )
| ~ sP2 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP2])]) ).
fof(f12,plain,
( ( e1 != inv(e0)
& e2 != inv(e0)
& e0 != inv(e0)
& e3 != inv(e0) )
| ~ sP3 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP3])]) ).
fof(f14,plain,
( ( e3 = op(e3,e3)
& e3 = op(e2,e2)
& e3 = op(e1,e1)
& e3 = op(e0,e0) )
| ~ sP5 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP5])]) ).
fof(f15,plain,
( ( e3 != unit
& e1 != unit
& e0 != unit
& e2 != unit )
| ~ sP6 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP6])]) ).
fof(f18,plain,
( ( e0 != inv(e3)
& e1 != inv(e3)
& e3 != inv(e3)
& e2 != inv(e3) )
| ~ sP9 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP9])]) ).
fof(f19,plain,
( ( e3 != op(e0,e3)
& e2 != op(e0,e3)
& e1 != op(e0,e3)
& e0 != op(e0,e3) )
| ~ sP10 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP10])]) ).
fof(f22,plain,
( ( e2 != op(e3,e3)
& e1 != op(e3,e3)
& e0 != op(e3,e3)
& e3 != op(e3,e3) )
| ~ sP13 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP13])]) ).
fof(f23,plain,
( ( e3 != op(e2,e1)
& e2 != op(e2,e1)
& e0 != op(e2,e1)
& e1 != op(e2,e1) )
| ~ sP14 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP14])]) ).
fof(f24,plain,
( ( e0 = op(e1,e1)
& e0 = op(e0,e0)
& e0 = op(e2,e2)
& e0 = op(e3,e3) )
| ~ sP15 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP15])]) ).
fof(f25,plain,
( ( e1 != op(e1,e2)
& e3 != op(e1,e2)
& e0 != op(e1,e2)
& e2 != op(e1,e2) )
| ~ sP16 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP16])]) ).
fof(f26,plain,
( ( e2 != op(e2,e0)
& e1 != op(e2,e0)
& e3 != op(e2,e0)
& e0 != op(e2,e0) )
| ~ sP17 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP17])]) ).
fof(f30,plain,
( ( e0 != op(e3,e0)
& e2 != op(e3,e0)
& e1 != op(e3,e0)
& e3 != op(e3,e0) )
| ~ sP21 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP21])]) ).
fof(f31,plain,
( ( e2 != op(e3,e1)
& e0 != op(e3,e1)
& e1 != op(e3,e1)
& e3 != op(e3,e1) )
| ~ sP22 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP22])]) ).
fof(f32,plain,
( ( e0 != op(e0,e2)
& e2 != op(e0,e2)
& e1 != op(e0,e2)
& e3 != op(e0,e2) )
| ~ sP23 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP23])]) ).
fof(f8,plain,
( ( e2 != op(e1,e0)
& e1 != op(e1,e0)
& e0 != op(e1,e0)
& e3 != op(e1,e0) )
| op(op(e1,e2),e1) != op(e1,op(e2,e1))
| ( e0 != op(e0,e2)
& e2 != op(e0,e2)
& e1 != op(e0,e2)
& e3 != op(e0,e2) )
| ( e2 != op(e3,e1)
& e0 != op(e3,e1)
& e1 != op(e3,e1)
& e3 != op(e3,e1) )
| op(op(e2,e3),e2) != op(e2,op(e3,e2))
| op(op(e1,e2),e3) != op(e1,op(e2,e3))
| unit != op(inv(e3),e3)
| op(op(e1,e0),e2) != op(e1,op(e0,e2))
| op(op(e3,e1),e1) != op(e3,op(e1,e1))
| e0 != op(unit,e0)
| ( e0 != op(e3,e0)
& e2 != op(e3,e0)
& e1 != op(e3,e0)
& e3 != op(e3,e0) )
| op(op(e3,e3),e3) != op(e3,op(e3,e3))
| op(op(e0,e0),e1) != op(e0,op(e0,e1))
| op(op(e3,e3),e2) != op(e3,op(e3,e2))
| unit != op(e1,inv(e1))
| op(op(e1,e2),e0) != op(e1,op(e2,e0))
| ( e3 != op(e1,e3)
& e0 != op(e1,e3)
& e2 != op(e1,e3)
& e1 != op(e1,e3) )
| unit != op(inv(e0),e0)
| op(op(e2,e3),e1) != op(e2,op(e3,e1))
| op(op(e0,e3),e3) != op(e0,op(e3,e3))
| op(op(e0,e0),e2) != op(e0,op(e0,e2))
| op(op(e0,e1),e0) != op(e0,op(e1,e0))
| op(op(e2,e1),e2) != op(e2,op(e1,e2))
| op(op(e2,e1),e1) != op(e2,op(e1,e1))
| op(op(e1,e1),e0) != op(e1,op(e1,e0))
| op(op(e3,e0),e1) != op(e3,op(e0,e1))
| ( e2 != inv(e2)
& e0 != inv(e2)
& e1 != inv(e2)
& e3 != inv(e2) )
| unit != op(e0,inv(e0))
| op(op(e2,e0),e3) != op(e2,op(e0,e3))
| op(op(e1,e1),e3) != op(e1,op(e1,e3))
| op(op(e2,e3),e3) != op(e2,op(e3,e3))
| op(op(e2,e0),e0) != op(e2,op(e0,e0))
| op(op(e0,e2),e2) != op(e0,op(e2,e2))
| op(op(e3,e2),e0) != op(e3,op(e2,e0))
| op(op(e0,e1),e2) != op(e0,op(e1,e2))
| op(op(e3,e0),e2) != op(e3,op(e0,e2))
| op(op(e1,e3),e0) != op(e1,op(e3,e0))
| op(op(e3,e1),e0) != op(e3,op(e1,e0))
| ( e3 != op(e0,e0)
& e2 != op(e0,e0)
& e0 != op(e0,e0)
& e1 != op(e0,e0) )
| unit != op(e3,inv(e3))
| op(op(e2,e2),e0) != op(e2,op(e2,e0))
| ( e2 != op(e2,e0)
& e1 != op(e2,e0)
& e3 != op(e2,e0)
& e0 != op(e2,e0) )
| op(op(e2,e3),e0) != op(e2,op(e3,e0))
| op(op(e2,e1),e3) != op(e2,op(e1,e3))
| op(op(e0,e2),e3) != op(e0,op(e2,e3))
| ( e1 != op(e1,e2)
& e3 != op(e1,e2)
& e0 != op(e1,e2)
& e2 != op(e1,e2) )
| op(op(e3,e3),e1) != op(e3,op(e3,e1))
| op(op(e1,e3),e2) != op(e1,op(e3,e2))
| op(op(e1,e2),e2) != op(e1,op(e2,e2))
| ( e0 = op(e1,e1)
& e0 = op(e0,e0)
& e0 = op(e2,e2)
& e0 = op(e3,e3) )
| op(op(e1,e3),e1) != op(e1,op(e3,e1))
| ( e3 != op(e2,e1)
& e2 != op(e2,e1)
& e0 != op(e2,e1)
& e1 != op(e2,e1) )
| op(op(e0,e0),e0) != op(e0,op(e0,e0))
| op(op(e0,e2),e0) != op(e0,op(e2,e0))
| op(op(e3,e3),e0) != op(e3,op(e3,e0))
| ( e2 != op(e3,e3)
& e1 != op(e3,e3)
& e0 != op(e3,e3)
& e3 != op(e3,e3) )
| ( e1 = op(e0,e0)
& e1 = op(e3,e3)
& e1 = op(e2,e2)
& e1 = op(e1,e1) )
| e1 != op(e1,unit)
| e2 != op(unit,e2)
| op(op(e1,e3),e3) != op(e1,op(e3,e3))
| op(op(e3,e2),e3) != op(e3,op(e2,e3))
| ( e3 != op(e0,e1)
& e2 != op(e0,e1)
& e0 != op(e0,e1)
& e1 != op(e0,e1) )
| op(op(e1,e0),e3) != op(e1,op(e0,e3))
| unit != op(inv(e2),e2)
| op(op(e1,e1),e2) != op(e1,op(e1,e2))
| op(op(e0,e1),e1) != op(e0,op(e1,e1))
| unit != op(inv(e1),e1)
| op(op(e1,e1),e1) != op(e1,op(e1,e1))
| op(op(e2,e0),e1) != op(e2,op(e0,e1))
| op(op(e1,e0),e1) != op(e1,op(e0,e1))
| op(op(e2,e2),e1) != op(e2,op(e2,e1))
| op(op(e3,e1),e3) != op(e3,op(e1,e3))
| ( e3 != op(e0,e3)
& e2 != op(e0,e3)
& e1 != op(e0,e3)
& e0 != op(e0,e3) )
| op(op(e2,e2),e3) != op(e2,op(e2,e3))
| ( e0 != inv(e3)
& e1 != inv(e3)
& e3 != inv(e3)
& e2 != inv(e3) )
| ( e2 = op(e0,e0)
& e2 = op(e2,e2)
& e2 = op(e3,e3)
& e2 = op(e1,e1) )
| e0 != op(e0,unit)
| ( e3 != op(e3,e2)
& e0 != op(e3,e2)
& e2 != op(e3,e2)
& e1 != op(e3,e2) )
| op(op(e3,e0),e0) != op(e3,op(e0,e0))
| ( e3 != unit
& e1 != unit
& e0 != unit
& e2 != unit )
| ( e3 = op(e3,e3)
& e3 = op(e2,e2)
& e3 = op(e1,e1)
& e3 = op(e0,e0) )
| op(op(e0,e3),e0) != op(e0,op(e3,e0))
| op(op(e0,e1),e3) != op(e0,op(e1,e3))
| e2 != op(e2,unit)
| op(op(e3,e1),e2) != op(e3,op(e1,e2))
| op(op(e2,e0),e2) != op(e2,op(e0,e2))
| e3 != op(e3,unit)
| e3 != op(unit,e3)
| op(op(e0,e3),e1) != op(e0,op(e3,e1))
| unit != op(e2,inv(e2))
| e1 != op(unit,e1)
| op(op(e3,e2),e1) != op(e3,op(e2,e1))
| op(op(e0,e0),e3) != op(e0,op(e0,e3))
| op(op(e3,e0),e3) != op(e3,op(e0,e3))
| ( e1 != op(e2,e2)
& e3 != op(e2,e2)
& e2 != op(e2,e2)
& e0 != op(e2,e2) )
| op(op(e0,e2),e1) != op(e0,op(e2,e1))
| ( e1 != inv(e0)
& e2 != inv(e0)
& e0 != inv(e0)
& e3 != inv(e0) )
| op(op(e1,e0),e0) != op(e1,op(e0,e0))
| op(op(e0,e3),e2) != op(e0,op(e3,e2))
| ( e3 != op(e1,e1)
& e2 != op(e1,e1)
& e1 != op(e1,e1)
& e0 != op(e1,e1) )
| op(op(e2,e2),e2) != op(e2,op(e2,e2))
| op(op(e2,e1),e0) != op(e2,op(e1,e0))
| op(op(e3,e2),e2) != op(e3,op(e2,e2))
| ( e3 != inv(e1)
& e1 != inv(e1)
& e2 != inv(e1)
& e0 != inv(e1) )
| ( e1 != op(e2,e3)
& e2 != op(e2,e3)
& e0 != op(e2,e3)
& e3 != op(e2,e3) ) ),
inference(flattening,[],[f7]) ).
fof(f7,plain,
( ( e3 != op(e0,e3)
& e2 != op(e0,e3)
& e1 != op(e0,e3)
& e0 != op(e0,e3) )
| ( e3 != op(e2,e1)
& e2 != op(e2,e1)
& e0 != op(e2,e1)
& e1 != op(e2,e1) )
| e1 != op(e1,unit)
| op(op(e2,e1),e0) != op(e2,op(e1,e0))
| op(op(e0,e1),e0) != op(e0,op(e1,e0))
| op(op(e3,e0),e0) != op(e3,op(e0,e0))
| op(op(e0,e0),e1) != op(e0,op(e0,e1))
| op(op(e3,e1),e0) != op(e3,op(e1,e0))
| op(op(e1,e1),e2) != op(e1,op(e1,e2))
| ( e0 != op(e0,e2)
& e2 != op(e0,e2)
& e1 != op(e0,e2)
& e3 != op(e0,e2) )
| op(op(e2,e3),e2) != op(e2,op(e3,e2))
| ( e2 != op(e1,e0)
& e1 != op(e1,e0)
& e0 != op(e1,e0)
& e3 != op(e1,e0) )
| ( e3 != inv(e1)
& e1 != inv(e1)
& e2 != inv(e1)
& e0 != inv(e1) )
| unit != op(inv(e2),e2)
| ( e3 != op(e0,e1)
& e2 != op(e0,e1)
& e0 != op(e0,e1)
& e1 != op(e0,e1) )
| ( e0 != inv(e3)
& e1 != inv(e3)
& e3 != inv(e3)
& e2 != inv(e3) )
| op(op(e3,e0),e2) != op(e3,op(e0,e2))
| op(op(e1,e1),e1) != op(e1,op(e1,e1))
| unit != op(e2,inv(e2))
| ( e1 != op(e1,e2)
& e3 != op(e1,e2)
& e0 != op(e1,e2)
& e2 != op(e1,e2) )
| op(op(e2,e2),e2) != op(e2,op(e2,e2))
| op(op(e1,e3),e0) != op(e1,op(e3,e0))
| e3 != op(unit,e3)
| op(op(e0,e1),e3) != op(e0,op(e1,e3))
| op(op(e3,e0),e3) != op(e3,op(e0,e3))
| ( e1 != op(e2,e2)
& e3 != op(e2,e2)
& e2 != op(e2,e2)
& e0 != op(e2,e2) )
| op(op(e0,e2),e3) != op(e0,op(e2,e3))
| op(op(e0,e2),e2) != op(e0,op(e2,e2))
| op(op(e2,e1),e3) != op(e2,op(e1,e3))
| ( e3 != op(e1,e1)
& e2 != op(e1,e1)
& e1 != op(e1,e1)
& e0 != op(e1,e1) )
| unit != op(inv(e0),e0)
| ( e0 != op(e3,e0)
& e2 != op(e3,e0)
& e1 != op(e3,e0)
& e3 != op(e3,e0) )
| ( e3 != op(e0,e0)
& e2 != op(e0,e0)
& e0 != op(e0,e0)
& e1 != op(e0,e0) )
| unit != op(e0,inv(e0))
| op(op(e0,e3),e3) != op(e0,op(e3,e3))
| op(op(e1,e0),e1) != op(e1,op(e0,e1))
| ( e2 != op(e2,e0)
& e1 != op(e2,e0)
& e3 != op(e2,e0)
& e0 != op(e2,e0) )
| op(op(e1,e2),e0) != op(e1,op(e2,e0))
| op(op(e1,e2),e2) != op(e1,op(e2,e2))
| op(op(e3,e2),e2) != op(e3,op(e2,e2))
| ( e3 != unit
& e1 != unit
& e0 != unit
& e2 != unit )
| op(op(e3,e1),e2) != op(e3,op(e1,e2))
| op(op(e1,e1),e0) != op(e1,op(e1,e0))
| op(op(e1,e0),e0) != op(e1,op(e0,e0))
| op(op(e1,e3),e2) != op(e1,op(e3,e2))
| ( e1 != op(e2,e3)
& e2 != op(e2,e3)
& e0 != op(e2,e3)
& e3 != op(e2,e3) )
| op(op(e0,e1),e1) != op(e0,op(e1,e1))
| e1 != op(unit,e1)
| op(op(e3,e2),e3) != op(e3,op(e2,e3))
| op(op(e2,e2),e0) != op(e2,op(e2,e0))
| ( e0 = op(e1,e1)
& e0 = op(e0,e0)
& e0 = op(e2,e2)
& e0 = op(e3,e3) )
| ( e3 = op(e3,e3)
& e3 = op(e2,e2)
& e3 = op(e1,e1)
& e3 = op(e0,e0) )
| ( e2 = op(e0,e0)
& e2 = op(e2,e2)
& e2 = op(e3,e3)
& e2 = op(e1,e1) )
| ( e1 = op(e0,e0)
& e1 = op(e3,e3)
& e1 = op(e2,e2)
& e1 = op(e1,e1) )
| op(op(e3,e3),e0) != op(e3,op(e3,e0))
| e0 != op(unit,e0)
| op(op(e0,e2),e1) != op(e0,op(e2,e1))
| op(op(e3,e3),e3) != op(e3,op(e3,e3))
| ( e1 != inv(e0)
& e2 != inv(e0)
& e0 != inv(e0)
& e3 != inv(e0) )
| unit != op(e3,inv(e3))
| op(op(e3,e2),e0) != op(e3,op(e2,e0))
| op(op(e2,e3),e3) != op(e2,op(e3,e3))
| op(op(e2,e3),e0) != op(e2,op(e3,e0))
| op(op(e3,e1),e1) != op(e3,op(e1,e1))
| op(op(e1,e3),e3) != op(e1,op(e3,e3))
| op(op(e3,e3),e1) != op(e3,op(e3,e1))
| op(op(e2,e2),e3) != op(e2,op(e2,e3))
| op(op(e0,e3),e1) != op(e0,op(e3,e1))
| op(op(e1,e0),e3) != op(e1,op(e0,e3))
| op(op(e2,e0),e2) != op(e2,op(e0,e2))
| ( e2 != op(e3,e3)
& e1 != op(e3,e3)
& e0 != op(e3,e3)
& e3 != op(e3,e3) )
| op(op(e2,e0),e0) != op(e2,op(e0,e0))
| ( e2 != inv(e2)
& e0 != inv(e2)
& e1 != inv(e2)
& e3 != inv(e2) )
| unit != op(e1,inv(e1))
| op(op(e3,e3),e2) != op(e3,op(e3,e2))
| op(op(e3,e0),e1) != op(e3,op(e0,e1))
| op(op(e0,e0),e2) != op(e0,op(e0,e2))
| op(op(e2,e1),e2) != op(e2,op(e1,e2))
| e2 != op(unit,e2)
| op(op(e0,e3),e0) != op(e0,op(e3,e0))
| op(op(e2,e1),e1) != op(e2,op(e1,e1))
| op(op(e0,e0),e0) != op(e0,op(e0,e0))
| op(op(e1,e2),e1) != op(e1,op(e2,e1))
| op(op(e2,e0),e1) != op(e2,op(e0,e1))
| ( e2 != op(e3,e1)
& e0 != op(e3,e1)
& e1 != op(e3,e1)
& e3 != op(e3,e1) )
| op(op(e0,e2),e0) != op(e0,op(e2,e0))
| op(op(e1,e3),e1) != op(e1,op(e3,e1))
| op(op(e1,e2),e3) != op(e1,op(e2,e3))
| op(op(e2,e3),e1) != op(e2,op(e3,e1))
| e3 != op(e3,unit)
| e0 != op(e0,unit)
| op(op(e0,e3),e2) != op(e0,op(e3,e2))
| op(op(e3,e2),e1) != op(e3,op(e2,e1))
| unit != op(inv(e1),e1)
| op(op(e3,e1),e3) != op(e3,op(e1,e3))
| e2 != op(e2,unit)
| ( e3 != op(e1,e3)
& e0 != op(e1,e3)
& e2 != op(e1,e3)
& e1 != op(e1,e3) )
| unit != op(inv(e3),e3)
| ( e3 != op(e3,e2)
& e0 != op(e3,e2)
& e2 != op(e3,e2)
& e1 != op(e3,e2) )
| op(op(e2,e2),e1) != op(e2,op(e2,e1))
| op(op(e0,e0),e3) != op(e0,op(e0,e3))
| op(op(e2,e0),e3) != op(e2,op(e0,e3))
| op(op(e0,e1),e2) != op(e0,op(e1,e2))
| op(op(e1,e1),e3) != op(e1,op(e1,e3))
| op(op(e1,e0),e2) != op(e1,op(e0,e2)) ),
inference(ennf_transformation,[],[f6]) ).
fof(f6,negated_conjecture,
~ ( ( e3 = op(e0,e3)
| e0 = op(e0,e3)
| e2 = op(e0,e3)
| e1 = op(e0,e3) )
& ( e0 = op(e2,e1)
| e2 = op(e2,e1)
| e3 = op(e2,e1)
| e1 = op(e2,e1) )
& e1 = op(e1,unit)
& op(op(e2,e1),e0) = op(e2,op(e1,e0))
& op(op(e0,e1),e0) = op(e0,op(e1,e0))
& op(op(e3,e0),e0) = op(e3,op(e0,e0))
& op(op(e0,e0),e1) = op(e0,op(e0,e1))
& op(op(e3,e1),e0) = op(e3,op(e1,e0))
& op(op(e1,e1),e2) = op(e1,op(e1,e2))
& ( e0 = op(e0,e2)
| e3 = op(e0,e2)
| e1 = op(e0,e2)
| e2 = op(e0,e2) )
& op(op(e2,e3),e2) = op(e2,op(e3,e2))
& ( e2 = op(e1,e0)
| e1 = op(e1,e0)
| e0 = op(e1,e0)
| e3 = op(e1,e0) )
& ( e2 = inv(e1)
| e0 = inv(e1)
| e1 = inv(e1)
| e3 = inv(e1) )
& unit = op(inv(e2),e2)
& ( e3 = op(e0,e1)
| e0 = op(e0,e1)
| e2 = op(e0,e1)
| e1 = op(e0,e1) )
& ( e2 = inv(e3)
| e1 = inv(e3)
| e3 = inv(e3)
| e0 = inv(e3) )
& op(op(e3,e0),e2) = op(e3,op(e0,e2))
& op(op(e1,e1),e1) = op(e1,op(e1,e1))
& unit = op(e2,inv(e2))
& ( e3 = op(e1,e2)
| e0 = op(e1,e2)
| e1 = op(e1,e2)
| e2 = op(e1,e2) )
& op(op(e2,e2),e2) = op(e2,op(e2,e2))
& op(op(e1,e3),e0) = op(e1,op(e3,e0))
& e3 = op(unit,e3)
& op(op(e0,e1),e3) = op(e0,op(e1,e3))
& op(op(e3,e0),e3) = op(e3,op(e0,e3))
& ( e3 = op(e2,e2)
| e1 = op(e2,e2)
| e2 = op(e2,e2)
| e0 = op(e2,e2) )
& op(op(e0,e2),e3) = op(e0,op(e2,e3))
& op(op(e0,e2),e2) = op(e0,op(e2,e2))
& op(op(e2,e1),e3) = op(e2,op(e1,e3))
& ( e1 = op(e1,e1)
| e3 = op(e1,e1)
| e2 = op(e1,e1)
| e0 = op(e1,e1) )
& unit = op(inv(e0),e0)
& ( e1 = op(e3,e0)
| e2 = op(e3,e0)
| e3 = op(e3,e0)
| e0 = op(e3,e0) )
& ( e3 = op(e0,e0)
| e1 = op(e0,e0)
| e2 = op(e0,e0)
| e0 = op(e0,e0) )
& unit = op(e0,inv(e0))
& op(op(e0,e3),e3) = op(e0,op(e3,e3))
& op(op(e1,e0),e1) = op(e1,op(e0,e1))
& ( e1 = op(e2,e0)
| e2 = op(e2,e0)
| e3 = op(e2,e0)
| e0 = op(e2,e0) )
& op(op(e1,e2),e0) = op(e1,op(e2,e0))
& op(op(e1,e2),e2) = op(e1,op(e2,e2))
& op(op(e3,e2),e2) = op(e3,op(e2,e2))
& ( e3 = unit
| e0 = unit
| e1 = unit
| e2 = unit )
& op(op(e3,e1),e2) = op(e3,op(e1,e2))
& op(op(e1,e1),e0) = op(e1,op(e1,e0))
& op(op(e1,e0),e0) = op(e1,op(e0,e0))
& op(op(e1,e3),e2) = op(e1,op(e3,e2))
& ( e2 = op(e2,e3)
| e3 = op(e2,e3)
| e0 = op(e2,e3)
| e1 = op(e2,e3) )
& op(op(e0,e1),e1) = op(e0,op(e1,e1))
& e1 = op(unit,e1)
& op(op(e3,e2),e3) = op(e3,op(e2,e3))
& op(op(e2,e2),e0) = op(e2,op(e2,e0))
& ~ ( ( e0 = op(e1,e1)
& e0 = op(e0,e0)
& e0 = op(e2,e2)
& e0 = op(e3,e3) )
| ( e3 = op(e3,e3)
& e3 = op(e2,e2)
& e3 = op(e1,e1)
& e3 = op(e0,e0) )
| ( e2 = op(e0,e0)
& e2 = op(e2,e2)
& e2 = op(e3,e3)
& e2 = op(e1,e1) )
| ( e1 = op(e0,e0)
& e1 = op(e3,e3)
& e1 = op(e2,e2)
& e1 = op(e1,e1) ) )
& op(op(e3,e3),e0) = op(e3,op(e3,e0))
& e0 = op(unit,e0)
& op(op(e0,e2),e1) = op(e0,op(e2,e1))
& op(op(e3,e3),e3) = op(e3,op(e3,e3))
& ( e0 = inv(e0)
| e3 = inv(e0)
| e1 = inv(e0)
| e2 = inv(e0) )
& unit = op(e3,inv(e3))
& op(op(e3,e2),e0) = op(e3,op(e2,e0))
& op(op(e2,e3),e3) = op(e2,op(e3,e3))
& op(op(e2,e3),e0) = op(e2,op(e3,e0))
& op(op(e3,e1),e1) = op(e3,op(e1,e1))
& op(op(e1,e3),e3) = op(e1,op(e3,e3))
& op(op(e3,e3),e1) = op(e3,op(e3,e1))
& op(op(e2,e2),e3) = op(e2,op(e2,e3))
& op(op(e0,e3),e1) = op(e0,op(e3,e1))
& op(op(e1,e0),e3) = op(e1,op(e0,e3))
& op(op(e2,e0),e2) = op(e2,op(e0,e2))
& ( e2 = op(e3,e3)
| e1 = op(e3,e3)
| e3 = op(e3,e3)
| e0 = op(e3,e3) )
& op(op(e2,e0),e0) = op(e2,op(e0,e0))
& ( e3 = inv(e2)
| e2 = inv(e2)
| e0 = inv(e2)
| e1 = inv(e2) )
& unit = op(e1,inv(e1))
& op(op(e3,e3),e2) = op(e3,op(e3,e2))
& op(op(e3,e0),e1) = op(e3,op(e0,e1))
& op(op(e0,e0),e2) = op(e0,op(e0,e2))
& op(op(e2,e1),e2) = op(e2,op(e1,e2))
& e2 = op(unit,e2)
& op(op(e0,e3),e0) = op(e0,op(e3,e0))
& op(op(e2,e1),e1) = op(e2,op(e1,e1))
& op(op(e0,e0),e0) = op(e0,op(e0,e0))
& op(op(e1,e2),e1) = op(e1,op(e2,e1))
& op(op(e2,e0),e1) = op(e2,op(e0,e1))
& ( e2 = op(e3,e1)
| e3 = op(e3,e1)
| e1 = op(e3,e1)
| e0 = op(e3,e1) )
& op(op(e0,e2),e0) = op(e0,op(e2,e0))
& op(op(e1,e3),e1) = op(e1,op(e3,e1))
& op(op(e1,e2),e3) = op(e1,op(e2,e3))
& op(op(e2,e3),e1) = op(e2,op(e3,e1))
& e3 = op(e3,unit)
& e0 = op(e0,unit)
& op(op(e0,e3),e2) = op(e0,op(e3,e2))
& op(op(e3,e2),e1) = op(e3,op(e2,e1))
& unit = op(inv(e1),e1)
& op(op(e3,e1),e3) = op(e3,op(e1,e3))
& e2 = op(e2,unit)
& ( e3 = op(e1,e3)
| e2 = op(e1,e3)
| e1 = op(e1,e3)
| e0 = op(e1,e3) )
& unit = op(inv(e3),e3)
& ( e0 = op(e3,e2)
| e3 = op(e3,e2)
| e2 = op(e3,e2)
| e1 = op(e3,e2) )
& op(op(e2,e2),e1) = op(e2,op(e2,e1))
& op(op(e0,e0),e3) = op(e0,op(e0,e3))
& op(op(e2,e0),e3) = op(e2,op(e0,e3))
& op(op(e0,e1),e2) = op(e0,op(e1,e2))
& op(op(e1,e1),e3) = op(e1,op(e1,e3))
& op(op(e1,e0),e2) = op(e1,op(e0,e2)) ),
inference(negated_conjecture,[],[f5]) ).
fof(f5,conjecture,
( ( e3 = op(e0,e3)
| e0 = op(e0,e3)
| e2 = op(e0,e3)
| e1 = op(e0,e3) )
& ( e0 = op(e2,e1)
| e2 = op(e2,e1)
| e3 = op(e2,e1)
| e1 = op(e2,e1) )
& e1 = op(e1,unit)
& op(op(e2,e1),e0) = op(e2,op(e1,e0))
& op(op(e0,e1),e0) = op(e0,op(e1,e0))
& op(op(e3,e0),e0) = op(e3,op(e0,e0))
& op(op(e0,e0),e1) = op(e0,op(e0,e1))
& op(op(e3,e1),e0) = op(e3,op(e1,e0))
& op(op(e1,e1),e2) = op(e1,op(e1,e2))
& ( e0 = op(e0,e2)
| e3 = op(e0,e2)
| e1 = op(e0,e2)
| e2 = op(e0,e2) )
& op(op(e2,e3),e2) = op(e2,op(e3,e2))
& ( e2 = op(e1,e0)
| e1 = op(e1,e0)
| e0 = op(e1,e0)
| e3 = op(e1,e0) )
& ( e2 = inv(e1)
| e0 = inv(e1)
| e1 = inv(e1)
| e3 = inv(e1) )
& unit = op(inv(e2),e2)
& ( e3 = op(e0,e1)
| e0 = op(e0,e1)
| e2 = op(e0,e1)
| e1 = op(e0,e1) )
& ( e2 = inv(e3)
| e1 = inv(e3)
| e3 = inv(e3)
| e0 = inv(e3) )
& op(op(e3,e0),e2) = op(e3,op(e0,e2))
& op(op(e1,e1),e1) = op(e1,op(e1,e1))
& unit = op(e2,inv(e2))
& ( e3 = op(e1,e2)
| e0 = op(e1,e2)
| e1 = op(e1,e2)
| e2 = op(e1,e2) )
& op(op(e2,e2),e2) = op(e2,op(e2,e2))
& op(op(e1,e3),e0) = op(e1,op(e3,e0))
& e3 = op(unit,e3)
& op(op(e0,e1),e3) = op(e0,op(e1,e3))
& op(op(e3,e0),e3) = op(e3,op(e0,e3))
& ( e3 = op(e2,e2)
| e1 = op(e2,e2)
| e2 = op(e2,e2)
| e0 = op(e2,e2) )
& op(op(e0,e2),e3) = op(e0,op(e2,e3))
& op(op(e0,e2),e2) = op(e0,op(e2,e2))
& op(op(e2,e1),e3) = op(e2,op(e1,e3))
& ( e1 = op(e1,e1)
| e3 = op(e1,e1)
| e2 = op(e1,e1)
| e0 = op(e1,e1) )
& unit = op(inv(e0),e0)
& ( e1 = op(e3,e0)
| e2 = op(e3,e0)
| e3 = op(e3,e0)
| e0 = op(e3,e0) )
& ( e3 = op(e0,e0)
| e1 = op(e0,e0)
| e2 = op(e0,e0)
| e0 = op(e0,e0) )
& unit = op(e0,inv(e0))
& op(op(e0,e3),e3) = op(e0,op(e3,e3))
& op(op(e1,e0),e1) = op(e1,op(e0,e1))
& ( e1 = op(e2,e0)
| e2 = op(e2,e0)
| e3 = op(e2,e0)
| e0 = op(e2,e0) )
& op(op(e1,e2),e0) = op(e1,op(e2,e0))
& op(op(e1,e2),e2) = op(e1,op(e2,e2))
& op(op(e3,e2),e2) = op(e3,op(e2,e2))
& ( e3 = unit
| e0 = unit
| e1 = unit
| e2 = unit )
& op(op(e3,e1),e2) = op(e3,op(e1,e2))
& op(op(e1,e1),e0) = op(e1,op(e1,e0))
& op(op(e1,e0),e0) = op(e1,op(e0,e0))
& op(op(e1,e3),e2) = op(e1,op(e3,e2))
& ( e2 = op(e2,e3)
| e3 = op(e2,e3)
| e0 = op(e2,e3)
| e1 = op(e2,e3) )
& op(op(e0,e1),e1) = op(e0,op(e1,e1))
& e1 = op(unit,e1)
& op(op(e3,e2),e3) = op(e3,op(e2,e3))
& op(op(e2,e2),e0) = op(e2,op(e2,e0))
& ~ ( ( e0 = op(e1,e1)
& e0 = op(e0,e0)
& e0 = op(e2,e2)
& e0 = op(e3,e3) )
| ( e3 = op(e3,e3)
& e3 = op(e2,e2)
& e3 = op(e1,e1)
& e3 = op(e0,e0) )
| ( e2 = op(e0,e0)
& e2 = op(e2,e2)
& e2 = op(e3,e3)
& e2 = op(e1,e1) )
| ( e1 = op(e0,e0)
& e1 = op(e3,e3)
& e1 = op(e2,e2)
& e1 = op(e1,e1) ) )
& op(op(e3,e3),e0) = op(e3,op(e3,e0))
& e0 = op(unit,e0)
& op(op(e0,e2),e1) = op(e0,op(e2,e1))
& op(op(e3,e3),e3) = op(e3,op(e3,e3))
& ( e0 = inv(e0)
| e3 = inv(e0)
| e1 = inv(e0)
| e2 = inv(e0) )
& unit = op(e3,inv(e3))
& op(op(e3,e2),e0) = op(e3,op(e2,e0))
& op(op(e2,e3),e3) = op(e2,op(e3,e3))
& op(op(e2,e3),e0) = op(e2,op(e3,e0))
& op(op(e3,e1),e1) = op(e3,op(e1,e1))
& op(op(e1,e3),e3) = op(e1,op(e3,e3))
& op(op(e3,e3),e1) = op(e3,op(e3,e1))
& op(op(e2,e2),e3) = op(e2,op(e2,e3))
& op(op(e0,e3),e1) = op(e0,op(e3,e1))
& op(op(e1,e0),e3) = op(e1,op(e0,e3))
& op(op(e2,e0),e2) = op(e2,op(e0,e2))
& ( e2 = op(e3,e3)
| e1 = op(e3,e3)
| e3 = op(e3,e3)
| e0 = op(e3,e3) )
& op(op(e2,e0),e0) = op(e2,op(e0,e0))
& ( e3 = inv(e2)
| e2 = inv(e2)
| e0 = inv(e2)
| e1 = inv(e2) )
& unit = op(e1,inv(e1))
& op(op(e3,e3),e2) = op(e3,op(e3,e2))
& op(op(e3,e0),e1) = op(e3,op(e0,e1))
& op(op(e0,e0),e2) = op(e0,op(e0,e2))
& op(op(e2,e1),e2) = op(e2,op(e1,e2))
& e2 = op(unit,e2)
& op(op(e0,e3),e0) = op(e0,op(e3,e0))
& op(op(e2,e1),e1) = op(e2,op(e1,e1))
& op(op(e0,e0),e0) = op(e0,op(e0,e0))
& op(op(e1,e2),e1) = op(e1,op(e2,e1))
& op(op(e2,e0),e1) = op(e2,op(e0,e1))
& ( e2 = op(e3,e1)
| e3 = op(e3,e1)
| e1 = op(e3,e1)
| e0 = op(e3,e1) )
& op(op(e0,e2),e0) = op(e0,op(e2,e0))
& op(op(e1,e3),e1) = op(e1,op(e3,e1))
& op(op(e1,e2),e3) = op(e1,op(e2,e3))
& op(op(e2,e3),e1) = op(e2,op(e3,e1))
& e3 = op(e3,unit)
& e0 = op(e0,unit)
& op(op(e0,e3),e2) = op(e0,op(e3,e2))
& op(op(e3,e2),e1) = op(e3,op(e2,e1))
& unit = op(inv(e1),e1)
& op(op(e3,e1),e3) = op(e3,op(e1,e3))
& e2 = op(e2,unit)
& ( e3 = op(e1,e3)
| e2 = op(e1,e3)
| e1 = op(e1,e3)
| e0 = op(e1,e3) )
& unit = op(inv(e3),e3)
& ( e0 = op(e3,e2)
| e3 = op(e3,e2)
| e2 = op(e3,e2)
| e1 = op(e3,e2) )
& op(op(e2,e2),e1) = op(e2,op(e2,e1))
& op(op(e0,e0),e3) = op(e0,op(e0,e3))
& op(op(e2,e0),e3) = op(e2,op(e0,e3))
& op(op(e0,e1),e2) = op(e0,op(e1,e2))
& op(op(e1,e1),e3) = op(e1,op(e1,e3))
& op(op(e1,e0),e2) = op(e1,op(e0,e2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).
fof(f905,plain,
spl24_130,
inference(avatar_split_clause,[],[f249,f801]) ).
fof(f249,plain,
op(e1,e2) = unit,
inference(definition_unfolding,[],[f165,f64]) ).
fof(f165,plain,
e0 = op(e1,e2),
inference(cnf_transformation,[],[f2]) ).
fof(f899,plain,
( ~ spl24_70
| ~ spl24_58 ),
inference(avatar_split_clause,[],[f196,f501,f549]) ).
fof(f196,plain,
( e3 != op(e3,unit)
| ~ sP21 ),
inference(definition_unfolding,[],[f73,f64]) ).
fof(f73,plain,
( e3 != op(e3,e0)
| ~ sP21 ),
inference(cnf_transformation,[],[f36]) ).
fof(f36,plain,
( ( e0 != op(e3,e0)
& e2 != op(e3,e0)
& e1 != op(e3,e0)
& e3 != op(e3,e0) )
| ~ sP21 ),
inference(nnf_transformation,[],[f30]) ).
fof(f893,plain,
( spl24_126
| ~ spl24_43 ),
inference(avatar_split_clause,[],[f227,f441,f780]) ).
fof(f227,plain,
( ~ sP5
| e3 = op(unit,unit) ),
inference(definition_unfolding,[],[f137,f64,f64]) ).
fof(f137,plain,
( e3 = op(e0,e0)
| ~ sP5 ),
inference(cnf_transformation,[],[f52]) ).
fof(f52,plain,
( ( e3 = op(e3,e3)
& e3 = op(e2,e2)
& e3 = op(e1,e1)
& e3 = op(e0,e0) )
| ~ sP5 ),
inference(nnf_transformation,[],[f14]) ).
fof(f876,plain,
spl24_137,
inference(avatar_split_clause,[],[f248,f838]) ).
fof(f248,plain,
op(e3,e3) = unit,
inference(definition_unfolding,[],[f166,f64]) ).
fof(f166,plain,
e0 = op(e3,e3),
inference(cnf_transformation,[],[f2]) ).
fof(f870,plain,
spl24_63,
inference(avatar_split_clause,[],[f241,f521]) ).
fof(f241,plain,
e1 = op(unit,e1),
inference(definition_unfolding,[],[f178,f64]) ).
fof(f178,plain,
e1 = op(e0,e1),
inference(cnf_transformation,[],[f2]) ).
fof(f843,plain,
( ~ spl24_15
| ~ spl24_61 ),
inference(avatar_split_clause,[],[f189,f513,f320]) ).
fof(f189,plain,
( e2 != op(unit,e2)
| ~ sP23 ),
inference(definition_unfolding,[],[f67,f64]) ).
fof(f67,plain,
( e2 != op(e0,e2)
| ~ sP23 ),
inference(cnf_transformation,[],[f34]) ).
fof(f34,plain,
( ( e0 != op(e0,e2)
& e2 != op(e0,e2)
& e1 != op(e0,e2)
& e3 != op(e0,e2) )
| ~ sP23 ),
inference(nnf_transformation,[],[f32]) ).
fof(f842,plain,
~ spl24_90,
inference(avatar_split_clause,[],[f253,f629]) ).
fof(f253,plain,
~ sP6,
inference(trivial_inequality_removal,[],[f226]) ).
fof(f226,plain,
( unit != unit
| ~ sP6 ),
inference(definition_unfolding,[],[f134,f64]) ).
fof(f134,plain,
( e0 != unit
| ~ sP6 ),
inference(cnf_transformation,[],[f51]) ).
fof(f51,plain,
( ( e3 != unit
& e1 != unit
& e0 != unit
& e2 != unit )
| ~ sP6 ),
inference(nnf_transformation,[],[f15]) ).
fof(f841,plain,
( ~ spl24_137
| ~ spl24_25 ),
inference(avatar_split_clause,[],[f213,f367,f838]) ).
fof(f213,plain,
( ~ sP13
| op(e3,e3) != unit ),
inference(definition_unfolding,[],[f106,f64]) ).
fof(f106,plain,
( e0 != op(e3,e3)
| ~ sP13 ),
inference(cnf_transformation,[],[f44]) ).
fof(f44,plain,
( ( e2 != op(e3,e3)
& e1 != op(e3,e3)
& e0 != op(e3,e3)
& e3 != op(e3,e3) )
| ~ sP13 ),
inference(nnf_transformation,[],[f22]) ).
fof(f826,plain,
spl24_124,
inference(avatar_split_clause,[],[f168,f770]) ).
fof(f168,plain,
e3 = op(e2,e2),
inference(cnf_transformation,[],[f2]) ).
fof(f825,plain,
( ~ spl24_134
| ~ spl24_105 ),
inference(avatar_split_clause,[],[f154,f689,f822]) ).
fof(f154,plain,
( ~ sP1
| e2 != inv(e1) ),
inference(cnf_transformation,[],[f56]) ).
fof(f56,plain,
( ( e3 != inv(e1)
& e1 != inv(e1)
& e2 != inv(e1)
& e0 != inv(e1) )
| ~ sP1 ),
inference(nnf_transformation,[],[f10]) ).
fof(f815,plain,
( ~ spl24_45
| ~ spl24_16 ),
inference(avatar_split_clause,[],[f203,f325,f449]) ).
fof(f203,plain,
( ~ sP17
| e2 != op(e2,unit) ),
inference(definition_unfolding,[],[f92,f64]) ).
fof(f92,plain,
( e2 != op(e2,e0)
| ~ sP17 ),
inference(cnf_transformation,[],[f40]) ).
fof(f40,plain,
( ( e2 != op(e2,e0)
& e1 != op(e2,e0)
& e3 != op(e2,e0)
& e0 != op(e2,e0) )
| ~ sP17 ),
inference(nnf_transformation,[],[f26]) ).
fof(f809,plain,
( ~ spl24_8
| ~ spl24_131 ),
inference(avatar_split_clause,[],[f152,f806,f288]) ).
fof(f152,plain,
( e3 != op(e1,e1)
| ~ sP2 ),
inference(cnf_transformation,[],[f55]) ).
fof(f55,plain,
( ( e3 != op(e1,e1)
& e2 != op(e1,e1)
& e1 != op(e1,e1)
& e0 != op(e1,e1) )
| ~ sP2 ),
inference(nnf_transformation,[],[f11]) ).
fof(f804,plain,
( ~ spl24_13
| ~ spl24_130 ),
inference(avatar_split_clause,[],[f207,f801,f311]) ).
fof(f207,plain,
( op(e1,e2) != unit
| ~ sP16 ),
inference(definition_unfolding,[],[f94,f64]) ).
fof(f94,plain,
( e0 != op(e1,e2)
| ~ sP16 ),
inference(cnf_transformation,[],[f41]) ).
fof(f41,plain,
( ( e1 != op(e1,e2)
& e3 != op(e1,e2)
& e0 != op(e1,e2)
& e2 != op(e1,e2) )
| ~ sP16 ),
inference(nnf_transformation,[],[f25]) ).
fof(f794,plain,
( ~ spl24_80
| ~ spl24_128 ),
inference(avatar_split_clause,[],[f122,f791,f589]) ).
fof(f122,plain,
( e3 != inv(e3)
| ~ sP9 ),
inference(cnf_transformation,[],[f48]) ).
fof(f48,plain,
( ( e0 != inv(e3)
& e1 != inv(e3)
& e3 != inv(e3)
& e2 != inv(e3) )
| ~ sP9 ),
inference(nnf_transformation,[],[f18]) ).
fof(f784,plain,
spl24_61,
inference(avatar_split_clause,[],[f240,f513]) ).
fof(f240,plain,
e2 = op(unit,e2),
inference(definition_unfolding,[],[f179,f64]) ).
fof(f179,plain,
e2 = op(e0,e2),
inference(cnf_transformation,[],[f2]) ).
fof(f763,plain,
( ~ spl24_1
| ~ spl24_57 ),
inference(avatar_split_clause,[],[f219,f497,f257]) ).
fof(f219,plain,
( e3 != op(unit,e3)
| ~ sP10 ),
inference(definition_unfolding,[],[f120,f64]) ).
fof(f120,plain,
( e3 != op(e0,e3)
| ~ sP10 ),
inference(cnf_transformation,[],[f47]) ).
fof(f47,plain,
( ( e3 != op(e0,e3)
& e2 != op(e0,e3)
& e1 != op(e0,e3)
& e0 != op(e0,e3) )
| ~ sP10 ),
inference(nnf_transformation,[],[f19]) ).
fof(f757,plain,
( ~ spl24_55
| ~ spl24_121 ),
inference(avatar_split_clause,[],[f72,f754,f489]) ).
fof(f72,plain,
( e2 != op(e3,e1)
| ~ sP22 ),
inference(cnf_transformation,[],[f35]) ).
fof(f35,plain,
( ( e2 != op(e3,e1)
& e0 != op(e3,e1)
& e1 != op(e3,e1)
& e3 != op(e3,e1) )
| ~ sP22 ),
inference(nnf_transformation,[],[f31]) ).
fof(f365,plain,
( ~ spl24_23
| ~ spl24_24 ),
inference(avatar_split_clause,[],[f231,f362,f358]) ).
fof(f231,plain,
( ~ sP3
| unit != inv(unit) ),
inference(definition_unfolding,[],[f146,f64,f64]) ).
fof(f146,plain,
( e0 != inv(e0)
| ~ sP3 ),
inference(cnf_transformation,[],[f54]) ).
fof(f54,plain,
( ( e1 != inv(e0)
& e2 != inv(e0)
& e0 != inv(e0)
& e3 != inv(e0) )
| ~ sP3 ),
inference(nnf_transformation,[],[f12]) ).
fof(f346,plain,
( ~ spl24_19
| spl24_20 ),
inference(avatar_split_clause,[],[f210,f343,f339]) ).
fof(f210,plain,
( op(e2,e2) = unit
| ~ sP15 ),
inference(definition_unfolding,[],[f98,f64]) ).
fof(f98,plain,
( e0 = op(e2,e2)
| ~ sP15 ),
inference(cnf_transformation,[],[f42]) ).
fof(f42,plain,
( ( e0 = op(e1,e1)
& e0 = op(e0,e0)
& e0 = op(e2,e2)
& e0 = op(e3,e3) )
| ~ sP15 ),
inference(nnf_transformation,[],[f24]) ).
fof(f282,plain,
( ~ spl24_5
| ~ spl24_6 ),
inference(avatar_split_clause,[],[f212,f279,f275]) ).
fof(f212,plain,
( op(e2,e1) != unit
| ~ sP14 ),
inference(definition_unfolding,[],[f102,f64]) ).
fof(f102,plain,
( e0 != op(e2,e1)
| ~ sP14 ),
inference(cnf_transformation,[],[f43]) ).
fof(f43,plain,
( ( e3 != op(e2,e1)
& e2 != op(e2,e1)
& e0 != op(e2,e1)
& e1 != op(e2,e1) )
| ~ sP14 ),
inference(nnf_transformation,[],[f23]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : ALG022+1 : TPTP v8.1.0. Released v2.7.0.
% 0.12/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.35 % Computer : n014.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Mon Aug 29 14:50:48 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.20/0.52 % (1536)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/467Mi)
% 0.20/0.52 % (1523)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.20/0.52 % (1528)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/75Mi)
% 0.20/0.52 % (1515)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.20/0.53 % (1520)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.20/0.53 % (1513)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=191324:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/191324Mi)
% 0.20/0.53 % (1520)Instruction limit reached!
% 0.20/0.53 % (1520)------------------------------
% 0.20/0.53 % (1520)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.54 % (1517)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.54 % (1520)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.54 % (1520)Termination reason: Unknown
% 0.20/0.54 % (1520)Termination phase: Function definition elimination
% 0.20/0.54
% 0.20/0.54 % (1520)Memory used [KB]: 1023
% 0.20/0.54 % (1520)Time elapsed: 0.006 s
% 0.20/0.54 % (1520)Instructions burned: 8 (million)
% 0.20/0.54 % (1520)------------------------------
% 0.20/0.54 % (1520)------------------------------
% 0.20/0.54 % (1538)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.20/0.54 % (1539)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.20/0.54 % (1531)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.20/0.54 % (1540)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/177Mi)
% 0.20/0.54 % (1514)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.20/0.54 % (1518)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 0.20/0.54 % (1529)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.20/0.54 % (1516)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.54 % (1521)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.20/0.54 % (1526)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.20/0.54 % (1527)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.20/0.54 % (1521)Instruction limit reached!
% 0.20/0.54 % (1521)------------------------------
% 0.20/0.54 % (1521)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.54 % (1521)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.54 % (1521)Termination reason: Unknown
% 0.20/0.54 % (1521)Termination phase: Property scanning
% 0.20/0.54
% 0.20/0.54 % (1521)Memory used [KB]: 1023
% 0.20/0.54 % (1521)Time elapsed: 0.004 s
% 0.20/0.54 % (1521)Instructions burned: 4 (million)
% 0.20/0.54 % (1521)------------------------------
% 0.20/0.54 % (1521)------------------------------
% 0.20/0.55 % (1541)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.20/0.55 % (1530)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.20/0.55 % (1535)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/498Mi)
% 0.20/0.55 % (1532)ott+4_1:1_av=off:bd=off:nwc=5.0:rp=on:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.20/0.55 % (1525)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.20/0.55 % (1542)ott+10_7:2_awrs=decay:awrsf=8:bd=preordered:drc=off:fd=preordered:fde=unused:fsr=off:slsq=on:slsqc=2:slsqr=5,8:sp=const_min:spb=units:to=lpo:i=355:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/355Mi)
% 0.20/0.55 % (1522)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.56 % (1537)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.20/0.56 % (1533)ott+10_1:8_bsd=on:fsd=on:lcm=predicate:nwc=5.0:s2a=on:s2at=1.5:spb=goal_then_units:i=176:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/176Mi)
% 0.20/0.56 % (1524)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.20/0.56 % (1534)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.20/0.56 % (1519)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.59/0.58 % (1515)Instruction limit reached!
% 1.59/0.58 % (1515)------------------------------
% 1.59/0.58 % (1515)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.59/0.58 % (1515)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.59/0.58 % (1515)Termination reason: Unknown
% 1.59/0.58 % (1515)Termination phase: Saturation
% 1.59/0.58
% 1.59/0.58 % (1515)Memory used [KB]: 1151
% 1.59/0.58 % (1515)Time elapsed: 0.015 s
% 1.59/0.58 % (1515)Instructions burned: 37 (million)
% 1.59/0.58 % (1515)------------------------------
% 1.59/0.58 % (1515)------------------------------
% 1.87/0.59 % (1518)First to succeed.
% 1.87/0.60 % (1528)Instruction limit reached!
% 1.87/0.60 % (1528)------------------------------
% 1.87/0.60 % (1528)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.87/0.60 % (1528)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.87/0.60 % (1528)Termination reason: Unknown
% 1.87/0.60 % (1528)Termination phase: Saturation
% 1.87/0.60
% 1.87/0.60 % (1528)Memory used [KB]: 1407
% 1.87/0.60 % (1528)Time elapsed: 0.070 s
% 1.87/0.60 % (1528)Instructions burned: 76 (million)
% 1.87/0.60 % (1528)------------------------------
% 1.87/0.60 % (1528)------------------------------
% 1.87/0.60 % (1516)Instruction limit reached!
% 1.87/0.60 % (1516)------------------------------
% 1.87/0.60 % (1516)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.87/0.60 % (1516)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.87/0.60 % (1516)Termination reason: Unknown
% 1.87/0.60 % (1516)Termination phase: Saturation
% 1.87/0.60
% 1.87/0.60 % (1516)Memory used [KB]: 6396
% 1.87/0.60 % (1516)Time elapsed: 0.021 s
% 1.87/0.60 % (1516)Instructions burned: 53 (million)
% 1.87/0.60 % (1516)------------------------------
% 1.87/0.60 % (1516)------------------------------
% 1.87/0.60 % (1523)Instruction limit reached!
% 1.87/0.60 % (1523)------------------------------
% 1.87/0.60 % (1523)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.87/0.60 % (1523)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.87/0.60 % (1523)Termination reason: Unknown
% 1.87/0.60 % (1523)Termination phase: Saturation
% 1.87/0.60
% 1.87/0.60 % (1523)Memory used [KB]: 6012
% 1.87/0.60 % (1523)Time elapsed: 0.025 s
% 1.87/0.60 % (1523)Instructions burned: 50 (million)
% 1.87/0.60 % (1523)------------------------------
% 1.87/0.60 % (1523)------------------------------
% 1.87/0.62 % (1514)Instruction limit reached!
% 1.87/0.62 % (1514)------------------------------
% 1.87/0.62 % (1514)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.87/0.62 % (1514)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.87/0.62 % (1514)Termination reason: Unknown
% 1.87/0.62 % (1514)Termination phase: Saturation
% 1.87/0.62
% 1.87/0.62 % (1514)Memory used [KB]: 5884
% 1.87/0.62 % (1514)Time elapsed: 0.026 s
% 1.87/0.62 % (1514)Instructions burned: 51 (million)
% 1.87/0.62 % (1514)------------------------------
% 1.87/0.62 % (1514)------------------------------
% 1.87/0.63 % (1519)Instruction limit reached!
% 1.87/0.63 % (1519)------------------------------
% 1.87/0.63 % (1519)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.87/0.63 % (1519)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.87/0.63 % (1519)Termination reason: Unknown
% 1.87/0.63 % (1519)Termination phase: Finite model building preprocessing
% 1.87/0.63
% 1.87/0.63 % (1519)Memory used [KB]: 1663
% 1.87/0.63 % (1519)Time elapsed: 0.021 s
% 1.87/0.63 % (1519)Instructions burned: 52 (million)
% 1.87/0.63 % (1519)------------------------------
% 1.87/0.63 % (1519)------------------------------
% 1.87/0.63 % (1530)Instruction limit reached!
% 1.87/0.63 % (1530)------------------------------
% 1.87/0.63 % (1530)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.87/0.63 % (1530)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.87/0.63 % (1530)Termination reason: Unknown
% 1.87/0.63 % (1530)Termination phase: Finite model building preprocessing
% 1.87/0.63
% 1.87/0.63 % (1530)Memory used [KB]: 1407
% 1.87/0.63 % (1530)Time elapsed: 0.023 s
% 1.87/0.63 % (1530)Instructions burned: 61 (million)
% 1.87/0.63 % (1530)------------------------------
% 1.87/0.63 % (1530)------------------------------
% 1.87/0.63 % (1522)Instruction limit reached!
% 1.87/0.63 % (1522)------------------------------
% 1.87/0.63 % (1522)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.87/0.63 % (1522)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.87/0.63 % (1522)Termination reason: Unknown
% 1.87/0.63 % (1522)Termination phase: Saturation
% 1.87/0.63
% 1.87/0.63 % (1522)Memory used [KB]: 1151
% 1.87/0.63 % (1522)Time elapsed: 0.023 s
% 1.87/0.63 % (1522)Instructions burned: 51 (million)
% 1.87/0.63 % (1522)------------------------------
% 1.87/0.63 % (1522)------------------------------
% 1.87/0.63 % (1539)Instruction limit reached!
% 1.87/0.63 % (1539)------------------------------
% 1.87/0.63 % (1539)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.87/0.63 % (1529)Also succeeded, but the first one will report.
% 1.87/0.63 % (1518)Refutation found. Thanks to Tanya!
% 1.87/0.63 % SZS status Theorem for theBenchmark
% 1.87/0.63 % SZS output start Proof for theBenchmark
% See solution above
% 1.87/0.64 % (1518)------------------------------
% 1.87/0.64 % (1518)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.87/0.64 % (1518)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.87/0.64 % (1518)Termination reason: Refutation
% 1.87/0.64
% 1.87/0.64 % (1518)Memory used [KB]: 6652
% 1.87/0.64 % (1518)Time elapsed: 0.193 s
% 1.87/0.64 % (1518)Instructions burned: 35 (million)
% 1.87/0.64 % (1518)------------------------------
% 1.87/0.64 % (1518)------------------------------
% 1.87/0.64 % (1512)Success in time 0.275 s
%------------------------------------------------------------------------------