TSTP Solution File: ALG021+1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : ALG021+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 : n025.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 15:42:00 EDT 2022
% Result : Theorem 1.88s 0.59s
% Output : Refutation 1.88s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 138
% Syntax : Number of formulae : 678 ( 56 unt; 0 def)
% Number of atoms : 3157 (1501 equ)
% Maximal formula atoms : 180 ( 4 avg)
% Number of connectives : 4396 (1917 ~;1927 |; 439 &)
% ( 113 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 108 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 136 ( 134 usr; 135 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 5 con; 0-2 aty)
% Number of variables : 0 ( 0 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1514,plain,
$false,
inference(avatar_sat_refutation,[],[f260,f658,f678,f679,f684,f694,f700,f758,f773,f808,f814,f815,f850,f856,f861,f867,f873,f879,f880,f891,f896,f902,f918,f938,f956,f958,f959,f970,f971,f987,f988,f1010,f1016,f1029,f1041,f1042,f1043,f1044,f1045,f1046,f1047,f1048,f1052,f1056,f1061,f1067,f1073,f1078,f1085,f1092,f1098,f1103,f1111,f1121,f1125,f1131,f1135,f1142,f1150,f1153,f1161,f1169,f1176,f1182,f1185,f1191,f1196,f1207,f1214,f1218,f1225,f1233,f1240,f1248,f1253,f1264,f1268,f1278,f1285,f1291,f1295,f1302,f1306,f1313,f1319,f1324,f1330,f1338,f1348,f1352,f1356,f1363,f1366,f1373,f1379,f1384,f1394,f1402,f1409,f1416,f1420,f1428,f1434,f1442,f1448,f1456,f1464,f1471,f1478,f1485,f1493,f1498,f1506,f1513]) ).
fof(f1513,plain,
( ~ spl21_5
| ~ spl21_97
| spl21_104
| ~ spl21_128
| ~ spl21_159 ),
inference(avatar_contradiction_clause,[],[f1512]) ).
fof(f1512,plain,
( $false
| ~ spl21_5
| ~ spl21_97
| spl21_104
| ~ spl21_128
| ~ spl21_159 ),
inference(subsumption_resolution,[],[f1511,f254]) ).
fof(f254,plain,
( e1 = op(e2,e3)
| ~ spl21_5 ),
inference(avatar_component_clause,[],[f253]) ).
fof(f253,plain,
( spl21_5
<=> e1 = op(e2,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_5])]) ).
fof(f1511,plain,
( e1 != op(e2,e3)
| ~ spl21_97
| spl21_104
| ~ spl21_128
| ~ spl21_159 ),
inference(forward_demodulation,[],[f1510,f623]) ).
fof(f623,plain,
( e1 = op(unit,e1)
| ~ spl21_97 ),
inference(avatar_component_clause,[],[f622]) ).
fof(f622,plain,
( spl21_97
<=> e1 = op(unit,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_97])]) ).
fof(f1510,plain,
( op(e2,e3) != op(unit,e1)
| spl21_104
| ~ spl21_128
| ~ spl21_159 ),
inference(forward_demodulation,[],[f1509,f771]) ).
fof(f771,plain,
( op(e2,e2) = unit
| ~ spl21_128 ),
inference(avatar_component_clause,[],[f770]) ).
fof(f770,plain,
( spl21_128
<=> op(e2,e2) = unit ),
introduced(avatar_definition,[new_symbols(naming,[spl21_128])]) ).
fof(f1509,plain,
( op(e2,e3) != op(op(e2,e2),e1)
| spl21_104
| ~ spl21_159 ),
inference(forward_demodulation,[],[f652,f936]) ).
fof(f936,plain,
( e3 = op(e2,e1)
| ~ spl21_159 ),
inference(avatar_component_clause,[],[f935]) ).
fof(f935,plain,
( spl21_159
<=> e3 = op(e2,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_159])]) ).
fof(f652,plain,
( op(op(e2,e2),e1) != op(e2,op(e2,e1))
| spl21_104 ),
inference(avatar_component_clause,[],[f650]) ).
fof(f650,plain,
( spl21_104
<=> op(op(e2,e2),e1) = op(e2,op(e2,e1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_104])]) ).
fof(f1506,plain,
( ~ spl21_79
| ~ spl21_98
| spl21_103 ),
inference(avatar_contradiction_clause,[],[f1505]) ).
fof(f1505,plain,
( $false
| ~ spl21_79
| ~ spl21_98
| spl21_103 ),
inference(subsumption_resolution,[],[f1504,f551]) ).
fof(f551,plain,
( e1 = op(e1,unit)
| ~ spl21_79 ),
inference(avatar_component_clause,[],[f550]) ).
fof(f550,plain,
( spl21_79
<=> e1 = op(e1,unit) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_79])]) ).
fof(f1504,plain,
( e1 != op(e1,unit)
| ~ spl21_79
| ~ spl21_98
| spl21_103 ),
inference(forward_demodulation,[],[f1503,f551]) ).
fof(f1503,plain,
( op(e1,unit) != op(op(e1,unit),unit)
| ~ spl21_98
| spl21_103 ),
inference(forward_demodulation,[],[f648,f627]) ).
fof(f627,plain,
( unit = op(unit,unit)
| ~ spl21_98 ),
inference(avatar_component_clause,[],[f626]) ).
fof(f626,plain,
( spl21_98
<=> unit = op(unit,unit) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_98])]) ).
fof(f648,plain,
( op(op(e1,unit),unit) != op(e1,op(unit,unit))
| spl21_103 ),
inference(avatar_component_clause,[],[f646]) ).
fof(f646,plain,
( spl21_103
<=> op(op(e1,unit),unit) = op(e1,op(unit,unit)) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_103])]) ).
fof(f1498,plain,
( ~ spl21_54
| spl21_102
| ~ spl21_109
| ~ spl21_145
| ~ spl21_146 ),
inference(avatar_contradiction_clause,[],[f1497]) ).
fof(f1497,plain,
( $false
| ~ spl21_54
| spl21_102
| ~ spl21_109
| ~ spl21_145
| ~ spl21_146 ),
inference(subsumption_resolution,[],[f1496,f859]) ).
fof(f859,plain,
( e2 = op(e1,e3)
| ~ spl21_145 ),
inference(avatar_component_clause,[],[f858]) ).
fof(f858,plain,
( spl21_145
<=> e2 = op(e1,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_145])]) ).
fof(f1496,plain,
( e2 != op(e1,e3)
| ~ spl21_54
| spl21_102
| ~ spl21_109
| ~ spl21_146 ),
inference(forward_demodulation,[],[f1495,f451]) ).
fof(f451,plain,
( e2 = op(unit,e2)
| ~ spl21_54 ),
inference(avatar_component_clause,[],[f450]) ).
fof(f450,plain,
( spl21_54
<=> e2 = op(unit,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_54])]) ).
fof(f1495,plain,
( op(e1,e3) != op(unit,e2)
| spl21_102
| ~ spl21_109
| ~ spl21_146 ),
inference(forward_demodulation,[],[f1494,f865]) ).
fof(f865,plain,
( op(e1,e1) = unit
| ~ spl21_146 ),
inference(avatar_component_clause,[],[f864]) ).
fof(f864,plain,
( spl21_146
<=> op(e1,e1) = unit ),
introduced(avatar_definition,[new_symbols(naming,[spl21_146])]) ).
fof(f1494,plain,
( op(e1,e3) != op(op(e1,e1),e2)
| spl21_102
| ~ spl21_109 ),
inference(forward_demodulation,[],[f644,f676]) ).
fof(f676,plain,
( e3 = op(e1,e2)
| ~ spl21_109 ),
inference(avatar_component_clause,[],[f675]) ).
fof(f675,plain,
( spl21_109
<=> e3 = op(e1,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_109])]) ).
fof(f644,plain,
( op(op(e1,e1),e2) != op(e1,op(e1,e2))
| spl21_102 ),
inference(avatar_component_clause,[],[f642]) ).
fof(f642,plain,
( spl21_102
<=> op(op(e1,e1),e2) = op(e1,op(e1,e2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_102])]) ).
fof(f1493,plain,
( spl21_101
| ~ spl21_105
| ~ spl21_128 ),
inference(avatar_contradiction_clause,[],[f1492]) ).
fof(f1492,plain,
( $false
| spl21_101
| ~ spl21_105
| ~ spl21_128 ),
inference(subsumption_resolution,[],[f1491,f771]) ).
fof(f1491,plain,
( op(e2,e2) != unit
| spl21_101
| ~ spl21_105 ),
inference(forward_demodulation,[],[f640,f656]) ).
fof(f656,plain,
( e2 = inv(e2)
| ~ spl21_105 ),
inference(avatar_component_clause,[],[f655]) ).
fof(f655,plain,
( spl21_105
<=> e2 = inv(e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_105])]) ).
fof(f640,plain,
( unit != op(inv(e2),e2)
| spl21_101 ),
inference(avatar_component_clause,[],[f638]) ).
fof(f638,plain,
( spl21_101
<=> unit = op(inv(e2),e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_101])]) ).
fof(f1485,plain,
( ~ spl21_97
| spl21_100
| ~ spl21_112
| ~ spl21_151
| ~ spl21_164 ),
inference(avatar_contradiction_clause,[],[f1484]) ).
fof(f1484,plain,
( $false
| ~ spl21_97
| spl21_100
| ~ spl21_112
| ~ spl21_151
| ~ spl21_164 ),
inference(subsumption_resolution,[],[f1483,f968]) ).
fof(f968,plain,
( e1 = op(e3,e2)
| ~ spl21_164 ),
inference(avatar_component_clause,[],[f967]) ).
fof(f967,plain,
( spl21_164
<=> e1 = op(e3,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_164])]) ).
fof(f1483,plain,
( e1 != op(e3,e2)
| ~ spl21_97
| spl21_100
| ~ spl21_112
| ~ spl21_151 ),
inference(forward_demodulation,[],[f1482,f623]) ).
fof(f1482,plain,
( op(e3,e2) != op(unit,e1)
| spl21_100
| ~ spl21_112
| ~ spl21_151 ),
inference(forward_demodulation,[],[f1481,f894]) ).
fof(f894,plain,
( op(e3,e3) = unit
| ~ spl21_151 ),
inference(avatar_component_clause,[],[f893]) ).
fof(f893,plain,
( spl21_151
<=> op(e3,e3) = unit ),
introduced(avatar_definition,[new_symbols(naming,[spl21_151])]) ).
fof(f1481,plain,
( op(e3,e2) != op(op(e3,e3),e1)
| spl21_100
| ~ spl21_112 ),
inference(forward_demodulation,[],[f636,f692]) ).
fof(f692,plain,
( e2 = op(e3,e1)
| ~ spl21_112 ),
inference(avatar_component_clause,[],[f691]) ).
fof(f691,plain,
( spl21_112
<=> e2 = op(e3,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_112])]) ).
fof(f636,plain,
( op(op(e3,e3),e1) != op(e3,op(e3,e1))
| spl21_100 ),
inference(avatar_component_clause,[],[f634]) ).
fof(f634,plain,
( spl21_100
<=> op(op(e3,e3),e1) = op(e3,op(e3,e1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_100])]) ).
fof(f1478,plain,
( ~ spl21_5
| ~ spl21_60
| ~ spl21_79
| spl21_99 ),
inference(avatar_contradiction_clause,[],[f1477]) ).
fof(f1477,plain,
( $false
| ~ spl21_5
| ~ spl21_60
| ~ spl21_79
| spl21_99 ),
inference(subsumption_resolution,[],[f1476,f551]) ).
fof(f1476,plain,
( e1 != op(e1,unit)
| ~ spl21_5
| ~ spl21_60
| spl21_99 ),
inference(forward_demodulation,[],[f1475,f254]) ).
fof(f1475,plain,
( op(e2,e3) != op(op(e2,e3),unit)
| ~ spl21_60
| spl21_99 ),
inference(forward_demodulation,[],[f632,f475]) ).
fof(f475,plain,
( e3 = op(e3,unit)
| ~ spl21_60 ),
inference(avatar_component_clause,[],[f474]) ).
fof(f474,plain,
( spl21_60
<=> e3 = op(e3,unit) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_60])]) ).
fof(f632,plain,
( op(op(e2,e3),unit) != op(e2,op(e3,unit))
| spl21_99 ),
inference(avatar_component_clause,[],[f630]) ).
fof(f630,plain,
( spl21_99
<=> op(op(e2,e3),unit) = op(e2,op(e3,unit)) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_99])]) ).
fof(f1471,plain,
( ~ spl21_8
| ~ spl21_60
| spl21_95
| ~ spl21_151 ),
inference(avatar_contradiction_clause,[],[f1470]) ).
fof(f1470,plain,
( $false
| ~ spl21_8
| ~ spl21_60
| spl21_95
| ~ spl21_151 ),
inference(subsumption_resolution,[],[f1469,f267]) ).
fof(f267,plain,
( e3 = op(unit,e3)
| ~ spl21_8 ),
inference(avatar_component_clause,[],[f266]) ).
fof(f266,plain,
( spl21_8
<=> e3 = op(unit,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_8])]) ).
fof(f1469,plain,
( e3 != op(unit,e3)
| ~ spl21_60
| spl21_95
| ~ spl21_151 ),
inference(forward_demodulation,[],[f1468,f475]) ).
fof(f1468,plain,
( op(unit,e3) != op(e3,unit)
| spl21_95
| ~ spl21_151 ),
inference(forward_demodulation,[],[f616,f894]) ).
fof(f616,plain,
( op(op(e3,e3),e3) != op(e3,op(e3,e3))
| spl21_95 ),
inference(avatar_component_clause,[],[f614]) ).
fof(f614,plain,
( spl21_95
<=> op(op(e3,e3),e3) = op(e3,op(e3,e3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_95])]) ).
fof(f1464,plain,
( ~ spl21_8
| spl21_93
| ~ spl21_109
| ~ spl21_145
| ~ spl21_146 ),
inference(avatar_contradiction_clause,[],[f1463]) ).
fof(f1463,plain,
( $false
| ~ spl21_8
| spl21_93
| ~ spl21_109
| ~ spl21_145
| ~ spl21_146 ),
inference(subsumption_resolution,[],[f1462,f676]) ).
fof(f1462,plain,
( e3 != op(e1,e2)
| ~ spl21_8
| spl21_93
| ~ spl21_145
| ~ spl21_146 ),
inference(forward_demodulation,[],[f1461,f267]) ).
fof(f1461,plain,
( op(e1,e2) != op(unit,e3)
| spl21_93
| ~ spl21_145
| ~ spl21_146 ),
inference(forward_demodulation,[],[f1460,f865]) ).
fof(f1460,plain,
( op(e1,e2) != op(op(e1,e1),e3)
| spl21_93
| ~ spl21_145 ),
inference(forward_demodulation,[],[f608,f859]) ).
fof(f608,plain,
( op(op(e1,e1),e3) != op(e1,op(e1,e3))
| spl21_93 ),
inference(avatar_component_clause,[],[f606]) ).
fof(f606,plain,
( spl21_93
<=> op(op(e1,e1),e3) = op(e1,op(e1,e3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_93])]) ).
fof(f1456,plain,
( ~ spl21_5
| ~ spl21_8
| spl21_92
| ~ spl21_128
| ~ spl21_159 ),
inference(avatar_contradiction_clause,[],[f1455]) ).
fof(f1455,plain,
( $false
| ~ spl21_5
| ~ spl21_8
| spl21_92
| ~ spl21_128
| ~ spl21_159 ),
inference(subsumption_resolution,[],[f1454,f936]) ).
fof(f1454,plain,
( e3 != op(e2,e1)
| ~ spl21_5
| ~ spl21_8
| spl21_92
| ~ spl21_128 ),
inference(forward_demodulation,[],[f1453,f267]) ).
fof(f1453,plain,
( op(e2,e1) != op(unit,e3)
| ~ spl21_5
| spl21_92
| ~ spl21_128 ),
inference(forward_demodulation,[],[f1452,f771]) ).
fof(f1452,plain,
( op(e2,e1) != op(op(e2,e2),e3)
| ~ spl21_5
| spl21_92 ),
inference(forward_demodulation,[],[f604,f254]) ).
fof(f604,plain,
( op(op(e2,e2),e3) != op(e2,op(e2,e3))
| spl21_92 ),
inference(avatar_component_clause,[],[f602]) ).
fof(f602,plain,
( spl21_92
<=> op(op(e2,e2),e3) = op(e2,op(e2,e3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_92])]) ).
fof(f1448,plain,
( ~ spl21_54
| spl21_91
| ~ spl21_97
| ~ spl21_145 ),
inference(avatar_contradiction_clause,[],[f1447]) ).
fof(f1447,plain,
( $false
| ~ spl21_54
| spl21_91
| ~ spl21_97
| ~ spl21_145 ),
inference(subsumption_resolution,[],[f1446,f859]) ).
fof(f1446,plain,
( e2 != op(e1,e3)
| ~ spl21_54
| spl21_91
| ~ spl21_97
| ~ spl21_145 ),
inference(forward_demodulation,[],[f1445,f451]) ).
fof(f1445,plain,
( op(e1,e3) != op(unit,e2)
| spl21_91
| ~ spl21_97
| ~ spl21_145 ),
inference(forward_demodulation,[],[f1444,f623]) ).
fof(f1444,plain,
( op(unit,e2) != op(op(unit,e1),e3)
| spl21_91
| ~ spl21_145 ),
inference(forward_demodulation,[],[f600,f859]) ).
fof(f600,plain,
( op(op(unit,e1),e3) != op(unit,op(e1,e3))
| spl21_91 ),
inference(avatar_component_clause,[],[f598]) ).
fof(f598,plain,
( spl21_91
<=> op(op(unit,e1),e3) = op(unit,op(e1,e3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_91])]) ).
fof(f1442,plain,
( ~ spl21_5
| spl21_89
| ~ spl21_112
| ~ spl21_145
| ~ spl21_164 ),
inference(avatar_contradiction_clause,[],[f1441]) ).
fof(f1441,plain,
( $false
| ~ spl21_5
| spl21_89
| ~ spl21_112
| ~ spl21_145
| ~ spl21_164 ),
inference(subsumption_resolution,[],[f1440,f859]) ).
fof(f1440,plain,
( e2 != op(e1,e3)
| ~ spl21_5
| spl21_89
| ~ spl21_112
| ~ spl21_164 ),
inference(forward_demodulation,[],[f1439,f692]) ).
fof(f1439,plain,
( op(e1,e3) != op(e3,e1)
| ~ spl21_5
| spl21_89
| ~ spl21_164 ),
inference(forward_demodulation,[],[f1438,f968]) ).
fof(f1438,plain,
( op(e3,e1) != op(op(e3,e2),e3)
| ~ spl21_5
| spl21_89 ),
inference(forward_demodulation,[],[f592,f254]) ).
fof(f592,plain,
( op(op(e3,e2),e3) != op(e3,op(e2,e3))
| spl21_89 ),
inference(avatar_component_clause,[],[f590]) ).
fof(f590,plain,
( spl21_89
<=> op(op(e3,e2),e3) = op(e3,op(e2,e3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_89])]) ).
fof(f1434,plain,
( ~ spl21_54
| ~ spl21_85
| spl21_88 ),
inference(avatar_contradiction_clause,[],[f1433]) ).
fof(f1433,plain,
( $false
| ~ spl21_54
| ~ spl21_85
| spl21_88 ),
inference(trivial_inequality_removal,[],[f1432]) ).
fof(f1432,plain,
( op(e2,e2) != op(e2,e2)
| ~ spl21_54
| ~ spl21_85
| spl21_88 ),
inference(forward_demodulation,[],[f1431,f451]) ).
fof(f1431,plain,
( op(e2,e2) != op(e2,op(unit,e2))
| ~ spl21_85
| spl21_88 ),
inference(forward_demodulation,[],[f588,f575]) ).
fof(f575,plain,
( e2 = op(e2,unit)
| ~ spl21_85 ),
inference(avatar_component_clause,[],[f574]) ).
fof(f574,plain,
( spl21_85
<=> e2 = op(e2,unit) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_85])]) ).
fof(f588,plain,
( op(e2,op(unit,e2)) != op(op(e2,unit),e2)
| spl21_88 ),
inference(avatar_component_clause,[],[f586]) ).
fof(f586,plain,
( spl21_88
<=> op(e2,op(unit,e2)) = op(op(e2,unit),e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_88])]) ).
fof(f1428,plain,
( ~ spl21_60
| ~ spl21_85
| spl21_86
| ~ spl21_109 ),
inference(avatar_contradiction_clause,[],[f1427]) ).
fof(f1427,plain,
( $false
| ~ spl21_60
| ~ spl21_85
| spl21_86
| ~ spl21_109 ),
inference(subsumption_resolution,[],[f1426,f676]) ).
fof(f1426,plain,
( e3 != op(e1,e2)
| ~ spl21_60
| ~ spl21_85
| spl21_86
| ~ spl21_109 ),
inference(forward_demodulation,[],[f1425,f475]) ).
fof(f1425,plain,
( op(e1,e2) != op(e3,unit)
| ~ spl21_85
| spl21_86
| ~ spl21_109 ),
inference(forward_demodulation,[],[f1424,f575]) ).
fof(f1424,plain,
( op(e3,unit) != op(e1,op(e2,unit))
| spl21_86
| ~ spl21_109 ),
inference(forward_demodulation,[],[f580,f676]) ).
fof(f580,plain,
( op(e1,op(e2,unit)) != op(op(e1,e2),unit)
| spl21_86 ),
inference(avatar_component_clause,[],[f578]) ).
fof(f578,plain,
( spl21_86
<=> op(e1,op(e2,unit)) = op(op(e1,e2),unit) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_86])]) ).
fof(f1420,plain,
( spl21_83
| ~ spl21_97
| ~ spl21_98
| ~ spl21_146 ),
inference(avatar_contradiction_clause,[],[f1419]) ).
fof(f1419,plain,
( $false
| spl21_83
| ~ spl21_97
| ~ spl21_98
| ~ spl21_146 ),
inference(subsumption_resolution,[],[f1418,f627]) ).
fof(f1418,plain,
( unit != op(unit,unit)
| spl21_83
| ~ spl21_97
| ~ spl21_146 ),
inference(forward_demodulation,[],[f1417,f865]) ).
fof(f1417,plain,
( op(e1,e1) != op(unit,op(e1,e1))
| spl21_83
| ~ spl21_97 ),
inference(forward_demodulation,[],[f568,f623]) ).
fof(f568,plain,
( op(unit,op(e1,e1)) != op(op(unit,e1),e1)
| spl21_83 ),
inference(avatar_component_clause,[],[f566]) ).
fof(f566,plain,
( spl21_83
<=> op(unit,op(e1,e1)) = op(op(unit,e1),e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_83])]) ).
fof(f1416,plain,
( ~ spl21_5
| ~ spl21_79
| spl21_82
| ~ spl21_145
| ~ spl21_151 ),
inference(avatar_contradiction_clause,[],[f1415]) ).
fof(f1415,plain,
( $false
| ~ spl21_5
| ~ spl21_79
| spl21_82
| ~ spl21_145
| ~ spl21_151 ),
inference(subsumption_resolution,[],[f1414,f254]) ).
fof(f1414,plain,
( e1 != op(e2,e3)
| ~ spl21_79
| spl21_82
| ~ spl21_145
| ~ spl21_151 ),
inference(forward_demodulation,[],[f1413,f859]) ).
fof(f1413,plain,
( e1 != op(op(e1,e3),e3)
| ~ spl21_79
| spl21_82
| ~ spl21_151 ),
inference(forward_demodulation,[],[f1412,f551]) ).
fof(f1412,plain,
( op(op(e1,e3),e3) != op(e1,unit)
| spl21_82
| ~ spl21_151 ),
inference(forward_demodulation,[],[f564,f894]) ).
fof(f564,plain,
( op(op(e1,e3),e3) != op(e1,op(e3,e3))
| spl21_82 ),
inference(avatar_component_clause,[],[f562]) ).
fof(f562,plain,
( spl21_82
<=> op(op(e1,e3),e3) = op(e1,op(e3,e3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_82])]) ).
fof(f1409,plain,
( ~ spl21_60
| spl21_81
| ~ spl21_85
| ~ spl21_145 ),
inference(avatar_contradiction_clause,[],[f1408]) ).
fof(f1408,plain,
( $false
| ~ spl21_60
| spl21_81
| ~ spl21_85
| ~ spl21_145 ),
inference(subsumption_resolution,[],[f1407,f575]) ).
fof(f1407,plain,
( e2 != op(e2,unit)
| ~ spl21_60
| spl21_81
| ~ spl21_145 ),
inference(forward_demodulation,[],[f1406,f859]) ).
fof(f1406,plain,
( op(e1,e3) != op(op(e1,e3),unit)
| ~ spl21_60
| spl21_81 ),
inference(forward_demodulation,[],[f560,f475]) ).
fof(f560,plain,
( op(op(e1,e3),unit) != op(e1,op(e3,unit))
| spl21_81 ),
inference(avatar_component_clause,[],[f558]) ).
fof(f558,plain,
( spl21_81
<=> op(op(e1,e3),unit) = op(e1,op(e3,unit)) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_81])]) ).
fof(f1402,plain,
( ~ spl21_54
| spl21_80
| ~ spl21_112
| ~ spl21_151
| ~ spl21_164 ),
inference(avatar_contradiction_clause,[],[f1401]) ).
fof(f1401,plain,
( $false
| ~ spl21_54
| spl21_80
| ~ spl21_112
| ~ spl21_151
| ~ spl21_164 ),
inference(subsumption_resolution,[],[f1400,f692]) ).
fof(f1400,plain,
( e2 != op(e3,e1)
| ~ spl21_54
| spl21_80
| ~ spl21_151
| ~ spl21_164 ),
inference(forward_demodulation,[],[f1399,f451]) ).
fof(f1399,plain,
( op(e3,e1) != op(unit,e2)
| spl21_80
| ~ spl21_151
| ~ spl21_164 ),
inference(forward_demodulation,[],[f1398,f894]) ).
fof(f1398,plain,
( op(e3,e1) != op(op(e3,e3),e2)
| spl21_80
| ~ spl21_164 ),
inference(forward_demodulation,[],[f556,f968]) ).
fof(f556,plain,
( op(op(e3,e3),e2) != op(e3,op(e3,e2))
| spl21_80 ),
inference(avatar_component_clause,[],[f554]) ).
fof(f554,plain,
( spl21_80
<=> op(op(e3,e3),e2) = op(e3,op(e3,e2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_80])]) ).
fof(f1394,plain,
( ~ spl21_60
| spl21_78
| ~ spl21_109
| ~ spl21_128
| ~ spl21_164 ),
inference(avatar_contradiction_clause,[],[f1393]) ).
fof(f1393,plain,
( $false
| ~ spl21_60
| spl21_78
| ~ spl21_109
| ~ spl21_128
| ~ spl21_164 ),
inference(subsumption_resolution,[],[f1392,f676]) ).
fof(f1392,plain,
( e3 != op(e1,e2)
| ~ spl21_60
| spl21_78
| ~ spl21_128
| ~ spl21_164 ),
inference(forward_demodulation,[],[f1391,f968]) ).
fof(f1391,plain,
( e3 != op(op(e3,e2),e2)
| ~ spl21_60
| spl21_78
| ~ spl21_128 ),
inference(forward_demodulation,[],[f1390,f475]) ).
fof(f1390,plain,
( op(op(e3,e2),e2) != op(e3,unit)
| spl21_78
| ~ spl21_128 ),
inference(forward_demodulation,[],[f548,f771]) ).
fof(f548,plain,
( op(op(e3,e2),e2) != op(e3,op(e2,e2))
| spl21_78 ),
inference(avatar_component_clause,[],[f546]) ).
fof(f546,plain,
( spl21_78
<=> op(op(e3,e2),e2) = op(e3,op(e2,e2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_78])]) ).
fof(f1384,plain,
( spl21_77
| ~ spl21_79
| ~ spl21_97 ),
inference(avatar_contradiction_clause,[],[f1383]) ).
fof(f1383,plain,
( $false
| spl21_77
| ~ spl21_79
| ~ spl21_97 ),
inference(subsumption_resolution,[],[f1382,f623]) ).
fof(f1382,plain,
( e1 != op(unit,e1)
| spl21_77
| ~ spl21_79
| ~ spl21_97 ),
inference(forward_demodulation,[],[f1381,f551]) ).
fof(f1381,plain,
( op(e1,unit) != op(unit,op(e1,unit))
| spl21_77
| ~ spl21_97 ),
inference(forward_demodulation,[],[f544,f623]) ).
fof(f544,plain,
( op(unit,op(e1,unit)) != op(op(unit,e1),unit)
| spl21_77 ),
inference(avatar_component_clause,[],[f542]) ).
fof(f542,plain,
( spl21_77
<=> op(unit,op(e1,unit)) = op(op(unit,e1),unit) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_77])]) ).
fof(f1379,plain,
( spl21_76
| ~ spl21_79
| ~ spl21_85
| ~ spl21_164 ),
inference(avatar_contradiction_clause,[],[f1378]) ).
fof(f1378,plain,
( $false
| spl21_76
| ~ spl21_79
| ~ spl21_85
| ~ spl21_164 ),
inference(subsumption_resolution,[],[f1377,f968]) ).
fof(f1377,plain,
( e1 != op(e3,e2)
| spl21_76
| ~ spl21_79
| ~ spl21_85
| ~ spl21_164 ),
inference(forward_demodulation,[],[f1376,f551]) ).
fof(f1376,plain,
( op(e3,e2) != op(e1,unit)
| spl21_76
| ~ spl21_85
| ~ spl21_164 ),
inference(forward_demodulation,[],[f1375,f575]) ).
fof(f1375,plain,
( op(e1,unit) != op(e3,op(e2,unit))
| spl21_76
| ~ spl21_164 ),
inference(forward_demodulation,[],[f540,f968]) ).
fof(f540,plain,
( op(e3,op(e2,unit)) != op(op(e3,e2),unit)
| spl21_76 ),
inference(avatar_component_clause,[],[f538]) ).
fof(f538,plain,
( spl21_76
<=> op(e3,op(e2,unit)) = op(op(e3,e2),unit) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_76])]) ).
fof(f1373,plain,
( ~ spl21_8
| ~ spl21_60
| spl21_75 ),
inference(avatar_contradiction_clause,[],[f1372]) ).
fof(f1372,plain,
( $false
| ~ spl21_8
| ~ spl21_60
| spl21_75 ),
inference(trivial_inequality_removal,[],[f1371]) ).
fof(f1371,plain,
( op(e3,e3) != op(e3,e3)
| ~ spl21_8
| ~ spl21_60
| spl21_75 ),
inference(forward_demodulation,[],[f1370,f267]) ).
fof(f1370,plain,
( op(e3,e3) != op(e3,op(unit,e3))
| ~ spl21_60
| spl21_75 ),
inference(forward_demodulation,[],[f536,f475]) ).
fof(f536,plain,
( op(e3,op(unit,e3)) != op(op(e3,unit),e3)
| spl21_75 ),
inference(avatar_component_clause,[],[f534]) ).
fof(f534,plain,
( spl21_75
<=> op(e3,op(unit,e3)) = op(op(e3,unit),e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_75])]) ).
fof(f1366,plain,
( spl21_74
| ~ spl21_105
| ~ spl21_128 ),
inference(avatar_contradiction_clause,[],[f1365]) ).
fof(f1365,plain,
( $false
| spl21_74
| ~ spl21_105
| ~ spl21_128 ),
inference(subsumption_resolution,[],[f1364,f771]) ).
fof(f1364,plain,
( op(e2,e2) != unit
| spl21_74
| ~ spl21_105 ),
inference(forward_demodulation,[],[f532,f656]) ).
fof(f532,plain,
( unit != op(e2,inv(e2))
| spl21_74 ),
inference(avatar_component_clause,[],[f530]) ).
fof(f530,plain,
( spl21_74
<=> unit = op(e2,inv(e2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_74])]) ).
fof(f1363,plain,
( spl21_73
| ~ spl21_109
| ~ spl21_112
| ~ spl21_128
| ~ spl21_151 ),
inference(avatar_contradiction_clause,[],[f1362]) ).
fof(f1362,plain,
( $false
| spl21_73
| ~ spl21_109
| ~ spl21_112
| ~ spl21_128
| ~ spl21_151 ),
inference(subsumption_resolution,[],[f1361,f771]) ).
fof(f1361,plain,
( op(e2,e2) != unit
| spl21_73
| ~ spl21_109
| ~ spl21_112
| ~ spl21_151 ),
inference(forward_demodulation,[],[f1360,f894]) ).
fof(f1360,plain,
( op(e2,e2) != op(e3,e3)
| spl21_73
| ~ spl21_109
| ~ spl21_112 ),
inference(forward_demodulation,[],[f1359,f692]) ).
fof(f1359,plain,
( op(e3,e3) != op(op(e3,e1),e2)
| spl21_73
| ~ spl21_109 ),
inference(forward_demodulation,[],[f528,f676]) ).
fof(f528,plain,
( op(op(e3,e1),e2) != op(e3,op(e1,e2))
| spl21_73 ),
inference(avatar_component_clause,[],[f526]) ).
fof(f526,plain,
( spl21_73
<=> op(op(e3,e1),e2) = op(e3,op(e1,e2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_73])]) ).
fof(f1356,plain,
( ~ spl21_54
| ~ spl21_60
| spl21_72 ),
inference(avatar_contradiction_clause,[],[f1355]) ).
fof(f1355,plain,
( $false
| ~ spl21_54
| ~ spl21_60
| spl21_72 ),
inference(trivial_inequality_removal,[],[f1354]) ).
fof(f1354,plain,
( op(e3,e2) != op(e3,e2)
| ~ spl21_54
| ~ spl21_60
| spl21_72 ),
inference(forward_demodulation,[],[f1353,f475]) ).
fof(f1353,plain,
( op(e3,e2) != op(op(e3,unit),e2)
| ~ spl21_54
| spl21_72 ),
inference(forward_demodulation,[],[f524,f451]) ).
fof(f524,plain,
( op(op(e3,unit),e2) != op(e3,op(unit,e2))
| spl21_72 ),
inference(avatar_component_clause,[],[f522]) ).
fof(f522,plain,
( spl21_72
<=> op(op(e3,unit),e2) = op(e3,op(unit,e2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_72])]) ).
fof(f1352,plain,
( spl21_71
| ~ spl21_143
| ~ spl21_146 ),
inference(avatar_contradiction_clause,[],[f1351]) ).
fof(f1351,plain,
( $false
| spl21_71
| ~ spl21_143
| ~ spl21_146 ),
inference(subsumption_resolution,[],[f1350,f865]) ).
fof(f1350,plain,
( op(e1,e1) != unit
| spl21_71
| ~ spl21_143 ),
inference(forward_demodulation,[],[f520,f848]) ).
fof(f848,plain,
( e1 = inv(e1)
| ~ spl21_143 ),
inference(avatar_component_clause,[],[f847]) ).
fof(f847,plain,
( spl21_143
<=> e1 = inv(e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_143])]) ).
fof(f520,plain,
( unit != op(e1,inv(e1))
| spl21_71 ),
inference(avatar_component_clause,[],[f518]) ).
fof(f518,plain,
( spl21_71
<=> unit = op(e1,inv(e1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_71])]) ).
fof(f1348,plain,
( spl21_69
| ~ spl21_85
| ~ spl21_98 ),
inference(avatar_contradiction_clause,[],[f1347]) ).
fof(f1347,plain,
( $false
| spl21_69
| ~ spl21_85
| ~ spl21_98 ),
inference(trivial_inequality_removal,[],[f1346]) ).
fof(f1346,plain,
( op(e2,unit) != op(e2,unit)
| spl21_69
| ~ spl21_85
| ~ spl21_98 ),
inference(forward_demodulation,[],[f1345,f627]) ).
fof(f1345,plain,
( op(e2,unit) != op(e2,op(unit,unit))
| spl21_69
| ~ spl21_85 ),
inference(forward_demodulation,[],[f512,f575]) ).
fof(f512,plain,
( op(e2,op(unit,unit)) != op(op(e2,unit),unit)
| spl21_69 ),
inference(avatar_component_clause,[],[f510]) ).
fof(f510,plain,
( spl21_69
<=> op(e2,op(unit,unit)) = op(op(e2,unit),unit) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_69])]) ).
fof(f1338,plain,
( spl21_68
| ~ spl21_128
| ~ spl21_145
| ~ spl21_146
| ~ spl21_164 ),
inference(avatar_contradiction_clause,[],[f1337]) ).
fof(f1337,plain,
( $false
| spl21_68
| ~ spl21_128
| ~ spl21_145
| ~ spl21_146
| ~ spl21_164 ),
inference(subsumption_resolution,[],[f1336,f865]) ).
fof(f1336,plain,
( op(e1,e1) != unit
| spl21_68
| ~ spl21_128
| ~ spl21_145
| ~ spl21_164 ),
inference(forward_demodulation,[],[f1335,f771]) ).
fof(f1335,plain,
( op(e1,e1) != op(e2,e2)
| spl21_68
| ~ spl21_145
| ~ spl21_164 ),
inference(forward_demodulation,[],[f1334,f859]) ).
fof(f1334,plain,
( op(e1,e1) != op(op(e1,e3),e2)
| spl21_68
| ~ spl21_164 ),
inference(forward_demodulation,[],[f508,f968]) ).
fof(f508,plain,
( op(op(e1,e3),e2) != op(e1,op(e3,e2))
| spl21_68 ),
inference(avatar_component_clause,[],[f506]) ).
fof(f506,plain,
( spl21_68
<=> op(op(e1,e3),e2) = op(e1,op(e3,e2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_68])]) ).
fof(f1330,plain,
( ~ spl21_8
| spl21_67
| ~ spl21_97
| ~ spl21_109 ),
inference(avatar_contradiction_clause,[],[f1329]) ).
fof(f1329,plain,
( $false
| ~ spl21_8
| spl21_67
| ~ spl21_97
| ~ spl21_109 ),
inference(subsumption_resolution,[],[f1328,f676]) ).
fof(f1328,plain,
( e3 != op(e1,e2)
| ~ spl21_8
| spl21_67
| ~ spl21_97
| ~ spl21_109 ),
inference(forward_demodulation,[],[f1327,f267]) ).
fof(f1327,plain,
( op(e1,e2) != op(unit,e3)
| spl21_67
| ~ spl21_97
| ~ spl21_109 ),
inference(forward_demodulation,[],[f1326,f623]) ).
fof(f1326,plain,
( op(unit,e3) != op(op(unit,e1),e2)
| spl21_67
| ~ spl21_109 ),
inference(forward_demodulation,[],[f504,f676]) ).
fof(f504,plain,
( op(op(unit,e1),e2) != op(unit,op(e1,e2))
| spl21_67 ),
inference(avatar_component_clause,[],[f502]) ).
fof(f502,plain,
( spl21_67
<=> op(op(unit,e1),e2) = op(unit,op(e1,e2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_67])]) ).
fof(f1324,plain,
( ~ spl21_5
| spl21_66
| ~ spl21_112
| ~ spl21_128
| ~ spl21_146 ),
inference(avatar_contradiction_clause,[],[f1323]) ).
fof(f1323,plain,
( $false
| ~ spl21_5
| spl21_66
| ~ spl21_112
| ~ spl21_128
| ~ spl21_146 ),
inference(subsumption_resolution,[],[f1322,f865]) ).
fof(f1322,plain,
( op(e1,e1) != unit
| ~ spl21_5
| spl21_66
| ~ spl21_112
| ~ spl21_128 ),
inference(forward_demodulation,[],[f1321,f771]) ).
fof(f1321,plain,
( op(e1,e1) != op(e2,e2)
| ~ spl21_5
| spl21_66
| ~ spl21_112 ),
inference(forward_demodulation,[],[f1320,f254]) ).
fof(f1320,plain,
( op(e2,e2) != op(op(e2,e3),e1)
| spl21_66
| ~ spl21_112 ),
inference(forward_demodulation,[],[f500,f692]) ).
fof(f500,plain,
( op(op(e2,e3),e1) != op(e2,op(e3,e1))
| spl21_66 ),
inference(avatar_component_clause,[],[f498]) ).
fof(f498,plain,
( spl21_66
<=> op(op(e2,e3),e1) = op(e2,op(e3,e1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_66])]) ).
fof(f1319,plain,
( ~ spl21_8
| spl21_65
| ~ spl21_79 ),
inference(avatar_contradiction_clause,[],[f1318]) ).
fof(f1318,plain,
( $false
| ~ spl21_8
| spl21_65
| ~ spl21_79 ),
inference(trivial_inequality_removal,[],[f1317]) ).
fof(f1317,plain,
( op(e1,e3) != op(e1,e3)
| ~ spl21_8
| spl21_65
| ~ spl21_79 ),
inference(forward_demodulation,[],[f1316,f551]) ).
fof(f1316,plain,
( op(e1,e3) != op(op(e1,unit),e3)
| ~ spl21_8
| spl21_65 ),
inference(forward_demodulation,[],[f496,f267]) ).
fof(f496,plain,
( op(op(e1,unit),e3) != op(e1,op(unit,e3))
| spl21_65 ),
inference(avatar_component_clause,[],[f494]) ).
fof(f494,plain,
( spl21_65
<=> op(op(e1,unit),e3) = op(e1,op(unit,e3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_65])]) ).
fof(f1313,plain,
( ~ spl21_54
| spl21_64
| ~ spl21_85 ),
inference(avatar_contradiction_clause,[],[f1312]) ).
fof(f1312,plain,
( $false
| ~ spl21_54
| spl21_64
| ~ spl21_85 ),
inference(subsumption_resolution,[],[f1311,f451]) ).
fof(f1311,plain,
( e2 != op(unit,e2)
| ~ spl21_54
| spl21_64
| ~ spl21_85 ),
inference(forward_demodulation,[],[f1310,f575]) ).
fof(f1310,plain,
( op(e2,unit) != op(unit,op(e2,unit))
| ~ spl21_54
| spl21_64 ),
inference(forward_demodulation,[],[f492,f451]) ).
fof(f492,plain,
( op(unit,op(e2,unit)) != op(op(unit,e2),unit)
| spl21_64 ),
inference(avatar_component_clause,[],[f490]) ).
fof(f490,plain,
( spl21_64
<=> op(unit,op(e2,unit)) = op(op(unit,e2),unit) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_64])]) ).
fof(f1306,plain,
( ~ spl21_60
| spl21_63
| ~ spl21_79
| ~ spl21_159 ),
inference(avatar_contradiction_clause,[],[f1305]) ).
fof(f1305,plain,
( $false
| ~ spl21_60
| spl21_63
| ~ spl21_79
| ~ spl21_159 ),
inference(subsumption_resolution,[],[f1304,f475]) ).
fof(f1304,plain,
( e3 != op(e3,unit)
| spl21_63
| ~ spl21_79
| ~ spl21_159 ),
inference(forward_demodulation,[],[f1303,f936]) ).
fof(f1303,plain,
( op(e2,e1) != op(op(e2,e1),unit)
| spl21_63
| ~ spl21_79 ),
inference(forward_demodulation,[],[f488,f551]) ).
fof(f488,plain,
( op(op(e2,e1),unit) != op(e2,op(e1,unit))
| spl21_63 ),
inference(avatar_component_clause,[],[f486]) ).
fof(f486,plain,
( spl21_63
<=> op(op(e2,e1),unit) = op(e2,op(e1,unit)) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_63])]) ).
fof(f1302,plain,
( ~ spl21_8
| spl21_62
| ~ spl21_85 ),
inference(avatar_contradiction_clause,[],[f1301]) ).
fof(f1301,plain,
( $false
| ~ spl21_8
| spl21_62
| ~ spl21_85 ),
inference(trivial_inequality_removal,[],[f1300]) ).
fof(f1300,plain,
( op(e2,e3) != op(e2,e3)
| ~ spl21_8
| spl21_62
| ~ spl21_85 ),
inference(forward_demodulation,[],[f1299,f267]) ).
fof(f1299,plain,
( op(e2,e3) != op(e2,op(unit,e3))
| spl21_62
| ~ spl21_85 ),
inference(forward_demodulation,[],[f484,f575]) ).
fof(f484,plain,
( op(e2,op(unit,e3)) != op(op(e2,unit),e3)
| spl21_62 ),
inference(avatar_component_clause,[],[f482]) ).
fof(f482,plain,
( spl21_62
<=> op(e2,op(unit,e3)) = op(op(e2,unit),e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_62])]) ).
fof(f1295,plain,
( ~ spl21_60
| spl21_61
| ~ spl21_97 ),
inference(avatar_contradiction_clause,[],[f1294]) ).
fof(f1294,plain,
( $false
| ~ spl21_60
| spl21_61
| ~ spl21_97 ),
inference(trivial_inequality_removal,[],[f1293]) ).
fof(f1293,plain,
( op(e3,e1) != op(e3,e1)
| ~ spl21_60
| spl21_61
| ~ spl21_97 ),
inference(forward_demodulation,[],[f1292,f623]) ).
fof(f1292,plain,
( op(e3,e1) != op(e3,op(unit,e1))
| ~ spl21_60
| spl21_61 ),
inference(forward_demodulation,[],[f480,f475]) ).
fof(f480,plain,
( op(e3,op(unit,e1)) != op(op(e3,unit),e1)
| spl21_61 ),
inference(avatar_component_clause,[],[f478]) ).
fof(f478,plain,
( spl21_61
<=> op(e3,op(unit,e1)) = op(op(e3,unit),e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_61])]) ).
fof(f1291,plain,
( spl21_58
| ~ spl21_79
| ~ spl21_97
| ~ spl21_146 ),
inference(avatar_contradiction_clause,[],[f1290]) ).
fof(f1290,plain,
( $false
| spl21_58
| ~ spl21_79
| ~ spl21_97
| ~ spl21_146 ),
inference(subsumption_resolution,[],[f1289,f623]) ).
fof(f1289,plain,
( e1 != op(unit,e1)
| spl21_58
| ~ spl21_79
| ~ spl21_146 ),
inference(forward_demodulation,[],[f1288,f551]) ).
fof(f1288,plain,
( op(unit,e1) != op(e1,unit)
| spl21_58
| ~ spl21_146 ),
inference(forward_demodulation,[],[f468,f865]) ).
fof(f468,plain,
( op(op(e1,e1),e1) != op(e1,op(e1,e1))
| spl21_58 ),
inference(avatar_component_clause,[],[f466]) ).
fof(f466,plain,
( spl21_58
<=> op(op(e1,e1),e1) = op(e1,op(e1,e1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_58])]) ).
fof(f1285,plain,
( spl21_57
| ~ spl21_85
| ~ spl21_98
| ~ spl21_128 ),
inference(avatar_contradiction_clause,[],[f1284]) ).
fof(f1284,plain,
( $false
| spl21_57
| ~ spl21_85
| ~ spl21_98
| ~ spl21_128 ),
inference(subsumption_resolution,[],[f1283,f627]) ).
fof(f1283,plain,
( unit != op(unit,unit)
| spl21_57
| ~ spl21_85
| ~ spl21_128 ),
inference(forward_demodulation,[],[f1282,f771]) ).
fof(f1282,plain,
( op(e2,e2) != op(op(e2,e2),unit)
| spl21_57
| ~ spl21_85 ),
inference(forward_demodulation,[],[f464,f575]) ).
fof(f464,plain,
( op(op(e2,e2),unit) != op(e2,op(e2,unit))
| spl21_57 ),
inference(avatar_component_clause,[],[f462]) ).
fof(f462,plain,
( spl21_57
<=> op(op(e2,e2),unit) = op(e2,op(e2,unit)) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_57])]) ).
fof(f1278,plain,
( spl21_56
| ~ spl21_109
| ~ spl21_112
| ~ spl21_145
| ~ spl21_159 ),
inference(avatar_contradiction_clause,[],[f1277]) ).
fof(f1277,plain,
( $false
| spl21_56
| ~ spl21_109
| ~ spl21_112
| ~ spl21_145
| ~ spl21_159 ),
inference(subsumption_resolution,[],[f1276,f676]) ).
fof(f1276,plain,
( e3 != op(e1,e2)
| spl21_56
| ~ spl21_112
| ~ spl21_145
| ~ spl21_159 ),
inference(forward_demodulation,[],[f1275,f936]) ).
fof(f1275,plain,
( op(e1,e2) != op(e2,e1)
| spl21_56
| ~ spl21_112
| ~ spl21_145 ),
inference(forward_demodulation,[],[f1274,f859]) ).
fof(f1274,plain,
( op(e1,e2) != op(op(e1,e3),e1)
| spl21_56
| ~ spl21_112 ),
inference(forward_demodulation,[],[f460,f692]) ).
fof(f460,plain,
( op(op(e1,e3),e1) != op(e1,op(e3,e1))
| spl21_56 ),
inference(avatar_component_clause,[],[f458]) ).
fof(f458,plain,
( spl21_56
<=> op(op(e1,e3),e1) = op(e1,op(e3,e1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_56])]) ).
fof(f1268,plain,
( ~ spl21_8
| spl21_55
| ~ spl21_98 ),
inference(avatar_contradiction_clause,[],[f1267]) ).
fof(f1267,plain,
( $false
| ~ spl21_8
| spl21_55
| ~ spl21_98 ),
inference(subsumption_resolution,[],[f1266,f267]) ).
fof(f1266,plain,
( e3 != op(unit,e3)
| ~ spl21_8
| spl21_55
| ~ spl21_98 ),
inference(forward_demodulation,[],[f1265,f267]) ).
fof(f1265,plain,
( op(unit,e3) != op(unit,op(unit,e3))
| spl21_55
| ~ spl21_98 ),
inference(forward_demodulation,[],[f456,f627]) ).
fof(f456,plain,
( op(unit,op(unit,e3)) != op(op(unit,unit),e3)
| spl21_55 ),
inference(avatar_component_clause,[],[f454]) ).
fof(f454,plain,
( spl21_55
<=> op(unit,op(unit,e3)) = op(op(unit,unit),e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_55])]) ).
fof(f1264,plain,
( spl21_52
| ~ spl21_109
| ~ spl21_112
| ~ spl21_145
| ~ spl21_159 ),
inference(avatar_contradiction_clause,[],[f1263]) ).
fof(f1263,plain,
( $false
| spl21_52
| ~ spl21_109
| ~ spl21_112
| ~ spl21_145
| ~ spl21_159 ),
inference(subsumption_resolution,[],[f1262,f859]) ).
fof(f1262,plain,
( e2 != op(e1,e3)
| spl21_52
| ~ spl21_109
| ~ spl21_112
| ~ spl21_159 ),
inference(forward_demodulation,[],[f1261,f692]) ).
fof(f1261,plain,
( op(e1,e3) != op(e3,e1)
| spl21_52
| ~ spl21_109
| ~ spl21_159 ),
inference(forward_demodulation,[],[f1260,f676]) ).
fof(f1260,plain,
( op(e1,e3) != op(op(e1,e2),e1)
| spl21_52
| ~ spl21_159 ),
inference(forward_demodulation,[],[f444,f936]) ).
fof(f444,plain,
( op(op(e1,e2),e1) != op(e1,op(e2,e1))
| spl21_52 ),
inference(avatar_component_clause,[],[f442]) ).
fof(f442,plain,
( spl21_52
<=> op(op(e1,e2),e1) = op(e1,op(e2,e1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_52])]) ).
fof(f1253,plain,
( spl21_51
| ~ spl21_79
| ~ spl21_109
| ~ spl21_128
| ~ spl21_164 ),
inference(avatar_contradiction_clause,[],[f1252]) ).
fof(f1252,plain,
( $false
| spl21_51
| ~ spl21_79
| ~ spl21_109
| ~ spl21_128
| ~ spl21_164 ),
inference(subsumption_resolution,[],[f1251,f968]) ).
fof(f1251,plain,
( e1 != op(e3,e2)
| spl21_51
| ~ spl21_79
| ~ spl21_109
| ~ spl21_128 ),
inference(forward_demodulation,[],[f1250,f676]) ).
fof(f1250,plain,
( e1 != op(op(e1,e2),e2)
| spl21_51
| ~ spl21_79
| ~ spl21_128 ),
inference(forward_demodulation,[],[f1249,f551]) ).
fof(f1249,plain,
( op(op(e1,e2),e2) != op(e1,unit)
| spl21_51
| ~ spl21_128 ),
inference(forward_demodulation,[],[f440,f771]) ).
fof(f440,plain,
( op(op(e1,e2),e2) != op(e1,op(e2,e2))
| spl21_51 ),
inference(avatar_component_clause,[],[f438]) ).
fof(f438,plain,
( spl21_51
<=> op(op(e1,e2),e2) = op(e1,op(e2,e2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_51])]) ).
fof(f1248,plain,
( ~ spl21_5
| spl21_50
| ~ spl21_112
| ~ spl21_145
| ~ spl21_164 ),
inference(avatar_contradiction_clause,[],[f1247]) ).
fof(f1247,plain,
( $false
| ~ spl21_5
| spl21_50
| ~ spl21_112
| ~ spl21_145
| ~ spl21_164 ),
inference(subsumption_resolution,[],[f1246,f254]) ).
fof(f1246,plain,
( e1 != op(e2,e3)
| spl21_50
| ~ spl21_112
| ~ spl21_145
| ~ spl21_164 ),
inference(forward_demodulation,[],[f1245,f968]) ).
fof(f1245,plain,
( op(e2,e3) != op(e3,e2)
| spl21_50
| ~ spl21_112
| ~ spl21_145 ),
inference(forward_demodulation,[],[f1244,f692]) ).
fof(f1244,plain,
( op(e3,e2) != op(op(e3,e1),e3)
| spl21_50
| ~ spl21_145 ),
inference(forward_demodulation,[],[f436,f859]) ).
fof(f436,plain,
( op(op(e3,e1),e3) != op(e3,op(e1,e3))
| spl21_50 ),
inference(avatar_component_clause,[],[f434]) ).
fof(f434,plain,
( spl21_50
<=> op(op(e3,e1),e3) = op(e3,op(e1,e3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_50])]) ).
fof(f1240,plain,
( ~ spl21_5
| spl21_48
| ~ spl21_54
| ~ spl21_97 ),
inference(avatar_contradiction_clause,[],[f1239]) ).
fof(f1239,plain,
( $false
| ~ spl21_5
| spl21_48
| ~ spl21_54
| ~ spl21_97 ),
inference(subsumption_resolution,[],[f1238,f254]) ).
fof(f1238,plain,
( e1 != op(e2,e3)
| ~ spl21_5
| spl21_48
| ~ spl21_54
| ~ spl21_97 ),
inference(forward_demodulation,[],[f1237,f623]) ).
fof(f1237,plain,
( op(e2,e3) != op(unit,e1)
| ~ spl21_5
| spl21_48
| ~ spl21_54 ),
inference(forward_demodulation,[],[f1236,f451]) ).
fof(f1236,plain,
( op(unit,e1) != op(op(unit,e2),e3)
| ~ spl21_5
| spl21_48 ),
inference(forward_demodulation,[],[f428,f254]) ).
fof(f428,plain,
( op(op(unit,e2),e3) != op(unit,op(e2,e3))
| spl21_48 ),
inference(avatar_component_clause,[],[f426]) ).
fof(f426,plain,
( spl21_48
<=> op(op(unit,e2),e3) = op(unit,op(e2,e3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_48])]) ).
fof(f1233,plain,
( spl21_47
| ~ spl21_60
| ~ spl21_98 ),
inference(avatar_contradiction_clause,[],[f1232]) ).
fof(f1232,plain,
( $false
| spl21_47
| ~ spl21_60
| ~ spl21_98 ),
inference(subsumption_resolution,[],[f1231,f475]) ).
fof(f1231,plain,
( e3 != op(e3,unit)
| spl21_47
| ~ spl21_60
| ~ spl21_98 ),
inference(forward_demodulation,[],[f1230,f475]) ).
fof(f1230,plain,
( op(e3,unit) != op(op(e3,unit),unit)
| spl21_47
| ~ spl21_98 ),
inference(forward_demodulation,[],[f424,f627]) ).
fof(f424,plain,
( op(op(e3,unit),unit) != op(e3,op(unit,unit))
| spl21_47 ),
inference(avatar_component_clause,[],[f422]) ).
fof(f422,plain,
( spl21_47
<=> op(op(e3,unit),unit) = op(e3,op(unit,unit)) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_47])]) ).
fof(f1225,plain,
( ~ spl21_5
| spl21_46
| ~ spl21_109
| ~ spl21_159
| ~ spl21_164 ),
inference(avatar_contradiction_clause,[],[f1224]) ).
fof(f1224,plain,
( $false
| ~ spl21_5
| spl21_46
| ~ spl21_109
| ~ spl21_159
| ~ spl21_164 ),
inference(subsumption_resolution,[],[f1223,f676]) ).
fof(f1223,plain,
( e3 != op(e1,e2)
| ~ spl21_5
| spl21_46
| ~ spl21_159
| ~ spl21_164 ),
inference(forward_demodulation,[],[f1222,f936]) ).
fof(f1222,plain,
( op(e1,e2) != op(e2,e1)
| ~ spl21_5
| spl21_46
| ~ spl21_164 ),
inference(forward_demodulation,[],[f1221,f254]) ).
fof(f1221,plain,
( op(e2,e1) != op(op(e2,e3),e2)
| spl21_46
| ~ spl21_164 ),
inference(forward_demodulation,[],[f420,f968]) ).
fof(f420,plain,
( op(op(e2,e3),e2) != op(e2,op(e3,e2))
| spl21_46 ),
inference(avatar_component_clause,[],[f418]) ).
fof(f418,plain,
( spl21_46
<=> op(op(e2,e3),e2) = op(e2,op(e3,e2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_46])]) ).
fof(f1218,plain,
( spl21_45
| ~ spl21_54
| ~ spl21_98 ),
inference(avatar_contradiction_clause,[],[f1217]) ).
fof(f1217,plain,
( $false
| spl21_45
| ~ spl21_54
| ~ spl21_98 ),
inference(trivial_inequality_removal,[],[f1216]) ).
fof(f1216,plain,
( op(unit,e2) != op(unit,e2)
| spl21_45
| ~ spl21_54
| ~ spl21_98 ),
inference(forward_demodulation,[],[f1215,f627]) ).
fof(f1215,plain,
( op(unit,e2) != op(op(unit,unit),e2)
| spl21_45
| ~ spl21_54 ),
inference(forward_demodulation,[],[f416,f451]) ).
fof(f416,plain,
( op(op(unit,unit),e2) != op(unit,op(unit,e2))
| spl21_45 ),
inference(avatar_component_clause,[],[f414]) ).
fof(f414,plain,
( spl21_45
<=> op(op(unit,unit),e2) = op(unit,op(unit,e2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_45])]) ).
fof(f1214,plain,
( ~ spl21_8
| spl21_44
| ~ spl21_54
| ~ spl21_112 ),
inference(avatar_contradiction_clause,[],[f1213]) ).
fof(f1213,plain,
( $false
| ~ spl21_8
| spl21_44
| ~ spl21_54
| ~ spl21_112 ),
inference(subsumption_resolution,[],[f1212,f451]) ).
fof(f1212,plain,
( e2 != op(unit,e2)
| ~ spl21_8
| spl21_44
| ~ spl21_112 ),
inference(forward_demodulation,[],[f1211,f692]) ).
fof(f1211,plain,
( op(e3,e1) != op(unit,op(e3,e1))
| ~ spl21_8
| spl21_44 ),
inference(forward_demodulation,[],[f412,f267]) ).
fof(f412,plain,
( op(unit,op(e3,e1)) != op(op(unit,e3),e1)
| spl21_44 ),
inference(avatar_component_clause,[],[f410]) ).
fof(f410,plain,
( spl21_44
<=> op(unit,op(e3,e1)) = op(op(unit,e3),e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_44])]) ).
fof(f1207,plain,
( spl21_42
| ~ spl21_128
| ~ spl21_145
| ~ spl21_151
| ~ spl21_159 ),
inference(avatar_contradiction_clause,[],[f1206]) ).
fof(f1206,plain,
( $false
| spl21_42
| ~ spl21_128
| ~ spl21_145
| ~ spl21_151
| ~ spl21_159 ),
inference(subsumption_resolution,[],[f1205,f771]) ).
fof(f1205,plain,
( op(e2,e2) != unit
| spl21_42
| ~ spl21_145
| ~ spl21_151
| ~ spl21_159 ),
inference(forward_demodulation,[],[f1204,f894]) ).
fof(f1204,plain,
( op(e2,e2) != op(e3,e3)
| spl21_42
| ~ spl21_145
| ~ spl21_159 ),
inference(forward_demodulation,[],[f1203,f936]) ).
fof(f1203,plain,
( op(e2,e2) != op(op(e2,e1),e3)
| spl21_42
| ~ spl21_145 ),
inference(forward_demodulation,[],[f404,f859]) ).
fof(f404,plain,
( op(op(e2,e1),e3) != op(e2,op(e1,e3))
| spl21_42 ),
inference(avatar_component_clause,[],[f402]) ).
fof(f402,plain,
( spl21_42
<=> op(op(e2,e1),e3) = op(e2,op(e1,e3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_42])]) ).
fof(f1196,plain,
( ~ spl21_5
| spl21_41
| ~ spl21_85
| ~ spl21_145
| ~ spl21_151 ),
inference(avatar_contradiction_clause,[],[f1195]) ).
fof(f1195,plain,
( $false
| ~ spl21_5
| spl21_41
| ~ spl21_85
| ~ spl21_145
| ~ spl21_151 ),
inference(subsumption_resolution,[],[f1194,f859]) ).
fof(f1194,plain,
( e2 != op(e1,e3)
| ~ spl21_5
| spl21_41
| ~ spl21_85
| ~ spl21_151 ),
inference(forward_demodulation,[],[f1193,f254]) ).
fof(f1193,plain,
( e2 != op(op(e2,e3),e3)
| spl21_41
| ~ spl21_85
| ~ spl21_151 ),
inference(forward_demodulation,[],[f1192,f575]) ).
fof(f1192,plain,
( op(op(e2,e3),e3) != op(e2,unit)
| spl21_41
| ~ spl21_151 ),
inference(forward_demodulation,[],[f400,f894]) ).
fof(f400,plain,
( op(op(e2,e3),e3) != op(e2,op(e3,e3))
| spl21_41 ),
inference(avatar_component_clause,[],[f398]) ).
fof(f398,plain,
( spl21_41
<=> op(op(e2,e3),e3) = op(e2,op(e3,e3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_41])]) ).
fof(f1191,plain,
( spl21_39
| ~ spl21_79
| ~ spl21_98
| ~ spl21_146 ),
inference(avatar_contradiction_clause,[],[f1190]) ).
fof(f1190,plain,
( $false
| spl21_39
| ~ spl21_79
| ~ spl21_98
| ~ spl21_146 ),
inference(subsumption_resolution,[],[f1189,f865]) ).
fof(f1189,plain,
( op(e1,e1) != unit
| spl21_39
| ~ spl21_79
| ~ spl21_98
| ~ spl21_146 ),
inference(forward_demodulation,[],[f1188,f551]) ).
fof(f1188,plain,
( unit != op(e1,op(e1,unit))
| spl21_39
| ~ spl21_98
| ~ spl21_146 ),
inference(forward_demodulation,[],[f1187,f627]) ).
fof(f1187,plain,
( op(e1,op(e1,unit)) != op(unit,unit)
| spl21_39
| ~ spl21_146 ),
inference(forward_demodulation,[],[f392,f865]) ).
fof(f392,plain,
( op(e1,op(e1,unit)) != op(op(e1,e1),unit)
| spl21_39 ),
inference(avatar_component_clause,[],[f390]) ).
fof(f390,plain,
( spl21_39
<=> op(e1,op(e1,unit)) = op(op(e1,e1),unit) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_39])]) ).
fof(f1185,plain,
( spl21_38
| ~ spl21_98
| ~ spl21_110 ),
inference(avatar_contradiction_clause,[],[f1184]) ).
fof(f1184,plain,
( $false
| spl21_38
| ~ spl21_98
| ~ spl21_110 ),
inference(subsumption_resolution,[],[f1183,f627]) ).
fof(f1183,plain,
( unit != op(unit,unit)
| spl21_38
| ~ spl21_110 ),
inference(forward_demodulation,[],[f388,f682]) ).
fof(f682,plain,
( unit = inv(unit)
| ~ spl21_110 ),
inference(avatar_component_clause,[],[f681]) ).
fof(f681,plain,
( spl21_110
<=> unit = inv(unit) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_110])]) ).
fof(f388,plain,
( unit != op(unit,inv(unit))
| spl21_38 ),
inference(avatar_component_clause,[],[f386]) ).
fof(f386,plain,
( spl21_38
<=> unit = op(unit,inv(unit)) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_38])]) ).
fof(f1182,plain,
( spl21_37
| ~ spl21_98 ),
inference(avatar_contradiction_clause,[],[f1181]) ).
fof(f1181,plain,
( $false
| spl21_37
| ~ spl21_98 ),
inference(trivial_inequality_removal,[],[f1180]) ).
fof(f1180,plain,
( op(unit,unit) != op(unit,unit)
| spl21_37
| ~ spl21_98 ),
inference(forward_demodulation,[],[f384,f627]) ).
fof(f384,plain,
( op(op(unit,unit),unit) != op(unit,op(unit,unit))
| spl21_37 ),
inference(avatar_component_clause,[],[f382]) ).
fof(f382,plain,
( spl21_37
<=> op(op(unit,unit),unit) = op(unit,op(unit,unit)) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_37])]) ).
fof(f1176,plain,
( ~ spl21_8
| spl21_36
| ~ spl21_54
| ~ spl21_159 ),
inference(avatar_contradiction_clause,[],[f1175]) ).
fof(f1175,plain,
( $false
| ~ spl21_8
| spl21_36
| ~ spl21_54
| ~ spl21_159 ),
inference(subsumption_resolution,[],[f1174,f936]) ).
fof(f1174,plain,
( e3 != op(e2,e1)
| ~ spl21_8
| spl21_36
| ~ spl21_54
| ~ spl21_159 ),
inference(forward_demodulation,[],[f1173,f267]) ).
fof(f1173,plain,
( op(e2,e1) != op(unit,e3)
| spl21_36
| ~ spl21_54
| ~ spl21_159 ),
inference(forward_demodulation,[],[f1172,f451]) ).
fof(f1172,plain,
( op(unit,e3) != op(op(unit,e2),e1)
| spl21_36
| ~ spl21_159 ),
inference(forward_demodulation,[],[f380,f936]) ).
fof(f380,plain,
( op(op(unit,e2),e1) != op(unit,op(e2,e1))
| spl21_36 ),
inference(avatar_component_clause,[],[f378]) ).
fof(f378,plain,
( spl21_36
<=> op(op(unit,e2),e1) = op(unit,op(e2,e1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_36])]) ).
fof(f1169,plain,
( spl21_35
| ~ spl21_97
| ~ spl21_98 ),
inference(avatar_contradiction_clause,[],[f1168]) ).
fof(f1168,plain,
( $false
| spl21_35
| ~ spl21_97
| ~ spl21_98 ),
inference(subsumption_resolution,[],[f1167,f623]) ).
fof(f1167,plain,
( e1 != op(unit,e1)
| spl21_35
| ~ spl21_97
| ~ spl21_98 ),
inference(forward_demodulation,[],[f1166,f623]) ).
fof(f1166,plain,
( op(unit,e1) != op(unit,op(unit,e1))
| spl21_35
| ~ spl21_98 ),
inference(forward_demodulation,[],[f376,f627]) ).
fof(f376,plain,
( op(unit,op(unit,e1)) != op(op(unit,unit),e1)
| spl21_35 ),
inference(avatar_component_clause,[],[f374]) ).
fof(f374,plain,
( spl21_35
<=> op(unit,op(unit,e1)) = op(op(unit,unit),e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_35])]) ).
fof(f1161,plain,
( spl21_34
| ~ spl21_85
| ~ spl21_112
| ~ spl21_146
| ~ spl21_159 ),
inference(avatar_contradiction_clause,[],[f1160]) ).
fof(f1160,plain,
( $false
| spl21_34
| ~ spl21_85
| ~ spl21_112
| ~ spl21_146
| ~ spl21_159 ),
inference(subsumption_resolution,[],[f1159,f692]) ).
fof(f1159,plain,
( e2 != op(e3,e1)
| spl21_34
| ~ spl21_85
| ~ spl21_146
| ~ spl21_159 ),
inference(forward_demodulation,[],[f1158,f936]) ).
fof(f1158,plain,
( e2 != op(op(e2,e1),e1)
| spl21_34
| ~ spl21_85
| ~ spl21_146 ),
inference(forward_demodulation,[],[f1157,f575]) ).
fof(f1157,plain,
( op(op(e2,e1),e1) != op(e2,unit)
| spl21_34
| ~ spl21_146 ),
inference(forward_demodulation,[],[f372,f865]) ).
fof(f372,plain,
( op(op(e2,e1),e1) != op(e2,op(e1,e1))
| spl21_34 ),
inference(avatar_component_clause,[],[f370]) ).
fof(f370,plain,
( spl21_34
<=> op(op(e2,e1),e1) = op(e2,op(e1,e1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_34])]) ).
fof(f1153,plain,
( spl21_33
| ~ spl21_125
| ~ spl21_151 ),
inference(avatar_contradiction_clause,[],[f1152]) ).
fof(f1152,plain,
( $false
| spl21_33
| ~ spl21_125
| ~ spl21_151 ),
inference(subsumption_resolution,[],[f1151,f894]) ).
fof(f1151,plain,
( op(e3,e3) != unit
| spl21_33
| ~ spl21_125 ),
inference(forward_demodulation,[],[f368,f756]) ).
fof(f756,plain,
( e3 = inv(e3)
| ~ spl21_125 ),
inference(avatar_component_clause,[],[f755]) ).
fof(f755,plain,
( spl21_125
<=> e3 = inv(e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_125])]) ).
fof(f368,plain,
( unit != op(e3,inv(e3))
| spl21_33 ),
inference(avatar_component_clause,[],[f366]) ).
fof(f366,plain,
( spl21_33
<=> unit = op(e3,inv(e3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_33])]) ).
fof(f1150,plain,
( spl21_32
| ~ spl21_146
| ~ spl21_151
| ~ spl21_159
| ~ spl21_164 ),
inference(avatar_contradiction_clause,[],[f1149]) ).
fof(f1149,plain,
( $false
| spl21_32
| ~ spl21_146
| ~ spl21_151
| ~ spl21_159
| ~ spl21_164 ),
inference(subsumption_resolution,[],[f1148,f865]) ).
fof(f1148,plain,
( op(e1,e1) != unit
| spl21_32
| ~ spl21_151
| ~ spl21_159
| ~ spl21_164 ),
inference(forward_demodulation,[],[f1147,f894]) ).
fof(f1147,plain,
( op(e1,e1) != op(e3,e3)
| spl21_32
| ~ spl21_159
| ~ spl21_164 ),
inference(forward_demodulation,[],[f1146,f968]) ).
fof(f1146,plain,
( op(e3,e3) != op(op(e3,e2),e1)
| spl21_32
| ~ spl21_159 ),
inference(forward_demodulation,[],[f364,f936]) ).
fof(f364,plain,
( op(op(e3,e2),e1) != op(e3,op(e2,e1))
| spl21_32 ),
inference(avatar_component_clause,[],[f362]) ).
fof(f362,plain,
( spl21_32
<=> op(op(e3,e2),e1) = op(e3,op(e2,e1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_32])]) ).
fof(f1142,plain,
( ~ spl21_8
| spl21_31
| ~ spl21_60 ),
inference(avatar_contradiction_clause,[],[f1141]) ).
fof(f1141,plain,
( $false
| ~ spl21_8
| spl21_31
| ~ spl21_60 ),
inference(subsumption_resolution,[],[f1140,f475]) ).
fof(f1140,plain,
( e3 != op(e3,unit)
| ~ spl21_8
| spl21_31
| ~ spl21_60 ),
inference(forward_demodulation,[],[f1139,f267]) ).
fof(f1139,plain,
( op(unit,e3) != op(op(unit,e3),unit)
| spl21_31
| ~ spl21_60 ),
inference(forward_demodulation,[],[f360,f475]) ).
fof(f360,plain,
( op(op(unit,e3),unit) != op(unit,op(e3,unit))
| spl21_31 ),
inference(avatar_component_clause,[],[f358]) ).
fof(f358,plain,
( spl21_31
<=> op(op(unit,e3),unit) = op(unit,op(e3,unit)) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_31])]) ).
fof(f1135,plain,
( spl21_30
| ~ spl21_143
| ~ spl21_146 ),
inference(avatar_contradiction_clause,[],[f1134]) ).
fof(f1134,plain,
( $false
| spl21_30
| ~ spl21_143
| ~ spl21_146 ),
inference(subsumption_resolution,[],[f1133,f865]) ).
fof(f1133,plain,
( op(e1,e1) != unit
| spl21_30
| ~ spl21_143 ),
inference(forward_demodulation,[],[f356,f848]) ).
fof(f356,plain,
( unit != op(inv(e1),e1)
| spl21_30 ),
inference(avatar_component_clause,[],[f354]) ).
fof(f354,plain,
( spl21_30
<=> unit = op(inv(e1),e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_30])]) ).
fof(f1131,plain,
( ~ spl21_5
| spl21_27
| ~ spl21_109
| ~ spl21_159
| ~ spl21_164 ),
inference(avatar_contradiction_clause,[],[f1130]) ).
fof(f1130,plain,
( $false
| ~ spl21_5
| spl21_27
| ~ spl21_109
| ~ spl21_159
| ~ spl21_164 ),
inference(subsumption_resolution,[],[f1129,f254]) ).
fof(f1129,plain,
( e1 != op(e2,e3)
| spl21_27
| ~ spl21_109
| ~ spl21_159
| ~ spl21_164 ),
inference(forward_demodulation,[],[f1128,f968]) ).
fof(f1128,plain,
( op(e2,e3) != op(e3,e2)
| spl21_27
| ~ spl21_109
| ~ spl21_159 ),
inference(forward_demodulation,[],[f1127,f936]) ).
fof(f1127,plain,
( op(e2,e3) != op(op(e2,e1),e2)
| spl21_27
| ~ spl21_109 ),
inference(forward_demodulation,[],[f344,f676]) ).
fof(f344,plain,
( op(op(e2,e1),e2) != op(e2,op(e1,e2))
| spl21_27 ),
inference(avatar_component_clause,[],[f342]) ).
fof(f342,plain,
( spl21_27
<=> op(op(e2,e1),e2) = op(e2,op(e1,e2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_27])]) ).
fof(f1125,plain,
( spl21_26
| ~ spl21_79
| ~ spl21_97 ),
inference(avatar_contradiction_clause,[],[f1124]) ).
fof(f1124,plain,
( $false
| spl21_26
| ~ spl21_79
| ~ spl21_97 ),
inference(trivial_inequality_removal,[],[f1123]) ).
fof(f1123,plain,
( op(e1,e1) != op(e1,e1)
| spl21_26
| ~ spl21_79
| ~ spl21_97 ),
inference(forward_demodulation,[],[f1122,f551]) ).
fof(f1122,plain,
( op(e1,e1) != op(op(e1,unit),e1)
| spl21_26
| ~ spl21_97 ),
inference(forward_demodulation,[],[f340,f623]) ).
fof(f340,plain,
( op(op(e1,unit),e1) != op(e1,op(unit,e1))
| spl21_26 ),
inference(avatar_component_clause,[],[f338]) ).
fof(f338,plain,
( spl21_26
<=> op(op(e1,unit),e1) = op(e1,op(unit,e1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_26])]) ).
fof(f1121,plain,
( spl21_25
| ~ spl21_85
| ~ spl21_97 ),
inference(avatar_contradiction_clause,[],[f1120]) ).
fof(f1120,plain,
( $false
| spl21_25
| ~ spl21_85
| ~ spl21_97 ),
inference(trivial_inequality_removal,[],[f1119]) ).
fof(f1119,plain,
( op(e2,e1) != op(e2,e1)
| spl21_25
| ~ spl21_85
| ~ spl21_97 ),
inference(forward_demodulation,[],[f1118,f575]) ).
fof(f1118,plain,
( op(e2,e1) != op(op(e2,unit),e1)
| spl21_25
| ~ spl21_97 ),
inference(forward_demodulation,[],[f336,f623]) ).
fof(f336,plain,
( op(op(e2,unit),e1) != op(e2,op(unit,e1))
| spl21_25 ),
inference(avatar_component_clause,[],[f334]) ).
fof(f334,plain,
( spl21_25
<=> op(op(e2,unit),e1) = op(e2,op(unit,e1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_25])]) ).
fof(f1111,plain,
( ~ spl21_8
| spl21_24
| ~ spl21_98
| ~ spl21_151 ),
inference(avatar_contradiction_clause,[],[f1110]) ).
fof(f1110,plain,
( $false
| ~ spl21_8
| spl21_24
| ~ spl21_98
| ~ spl21_151 ),
inference(subsumption_resolution,[],[f1109,f894]) ).
fof(f1109,plain,
( op(e3,e3) != unit
| ~ spl21_8
| spl21_24
| ~ spl21_98
| ~ spl21_151 ),
inference(forward_demodulation,[],[f1108,f267]) ).
fof(f1108,plain,
( unit != op(op(unit,e3),e3)
| spl21_24
| ~ spl21_98
| ~ spl21_151 ),
inference(forward_demodulation,[],[f1107,f627]) ).
fof(f1107,plain,
( op(op(unit,e3),e3) != op(unit,unit)
| spl21_24
| ~ spl21_151 ),
inference(forward_demodulation,[],[f332,f894]) ).
fof(f332,plain,
( op(op(unit,e3),e3) != op(unit,op(e3,e3))
| spl21_24 ),
inference(avatar_component_clause,[],[f330]) ).
fof(f330,plain,
( spl21_24
<=> op(op(unit,e3),e3) = op(unit,op(e3,e3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_24])]) ).
fof(f1103,plain,
( spl21_23
| ~ spl21_60
| ~ spl21_112
| ~ spl21_146
| ~ spl21_159 ),
inference(avatar_contradiction_clause,[],[f1102]) ).
fof(f1102,plain,
( $false
| spl21_23
| ~ spl21_60
| ~ spl21_112
| ~ spl21_146
| ~ spl21_159 ),
inference(subsumption_resolution,[],[f1101,f936]) ).
fof(f1101,plain,
( e3 != op(e2,e1)
| spl21_23
| ~ spl21_60
| ~ spl21_112
| ~ spl21_146 ),
inference(forward_demodulation,[],[f1100,f692]) ).
fof(f1100,plain,
( e3 != op(op(e3,e1),e1)
| spl21_23
| ~ spl21_60
| ~ spl21_146 ),
inference(forward_demodulation,[],[f1099,f475]) ).
fof(f1099,plain,
( op(op(e3,e1),e1) != op(e3,unit)
| spl21_23
| ~ spl21_146 ),
inference(forward_demodulation,[],[f328,f865]) ).
fof(f328,plain,
( op(op(e3,e1),e1) != op(e3,op(e1,e1))
| spl21_23 ),
inference(avatar_component_clause,[],[f326]) ).
fof(f326,plain,
( spl21_23
<=> op(op(e3,e1),e1) = op(e3,op(e1,e1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_23])]) ).
fof(f1098,plain,
( ~ spl21_5
| spl21_21
| ~ spl21_109
| ~ spl21_146
| ~ spl21_151 ),
inference(avatar_contradiction_clause,[],[f1097]) ).
fof(f1097,plain,
( $false
| ~ spl21_5
| spl21_21
| ~ spl21_109
| ~ spl21_146
| ~ spl21_151 ),
inference(subsumption_resolution,[],[f1096,f865]) ).
fof(f1096,plain,
( op(e1,e1) != unit
| ~ spl21_5
| spl21_21
| ~ spl21_109
| ~ spl21_151 ),
inference(forward_demodulation,[],[f1095,f894]) ).
fof(f1095,plain,
( op(e1,e1) != op(e3,e3)
| ~ spl21_5
| spl21_21
| ~ spl21_109 ),
inference(forward_demodulation,[],[f1094,f676]) ).
fof(f1094,plain,
( op(e1,e1) != op(op(e1,e2),e3)
| ~ spl21_5
| spl21_21 ),
inference(forward_demodulation,[],[f320,f254]) ).
fof(f320,plain,
( op(op(e1,e2),e3) != op(e1,op(e2,e3))
| spl21_21 ),
inference(avatar_component_clause,[],[f318]) ).
fof(f318,plain,
( spl21_21
<=> op(op(e1,e2),e3) = op(e1,op(e2,e3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_21])]) ).
fof(f1092,plain,
( spl21_20
| ~ spl21_54
| ~ spl21_79 ),
inference(avatar_contradiction_clause,[],[f1091]) ).
fof(f1091,plain,
( $false
| spl21_20
| ~ spl21_54
| ~ spl21_79 ),
inference(trivial_inequality_removal,[],[f1090]) ).
fof(f1090,plain,
( op(e1,e2) != op(e1,e2)
| spl21_20
| ~ spl21_54
| ~ spl21_79 ),
inference(forward_demodulation,[],[f1089,f551]) ).
fof(f1089,plain,
( op(e1,e2) != op(op(e1,unit),e2)
| spl21_20
| ~ spl21_54 ),
inference(forward_demodulation,[],[f316,f451]) ).
fof(f316,plain,
( op(op(e1,unit),e2) != op(e1,op(unit,e2))
| spl21_20 ),
inference(avatar_component_clause,[],[f314]) ).
fof(f314,plain,
( spl21_20
<=> op(op(e1,unit),e2) = op(e1,op(unit,e2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_20])]) ).
fof(f1085,plain,
( spl21_18
| ~ spl21_54
| ~ spl21_85
| ~ spl21_128 ),
inference(avatar_contradiction_clause,[],[f1084]) ).
fof(f1084,plain,
( $false
| spl21_18
| ~ spl21_54
| ~ spl21_85
| ~ spl21_128 ),
inference(subsumption_resolution,[],[f1083,f451]) ).
fof(f1083,plain,
( e2 != op(unit,e2)
| spl21_18
| ~ spl21_85
| ~ spl21_128 ),
inference(forward_demodulation,[],[f1082,f575]) ).
fof(f1082,plain,
( op(unit,e2) != op(e2,unit)
| spl21_18
| ~ spl21_128 ),
inference(forward_demodulation,[],[f308,f771]) ).
fof(f308,plain,
( op(op(e2,e2),e2) != op(e2,op(e2,e2))
| spl21_18 ),
inference(avatar_component_clause,[],[f306]) ).
fof(f306,plain,
( spl21_18
<=> op(op(e2,e2),e2) = op(e2,op(e2,e2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_18])]) ).
fof(f1078,plain,
( spl21_15
| ~ spl21_98
| ~ spl21_110 ),
inference(avatar_contradiction_clause,[],[f1077]) ).
fof(f1077,plain,
( $false
| spl21_15
| ~ spl21_98
| ~ spl21_110 ),
inference(subsumption_resolution,[],[f1076,f627]) ).
fof(f1076,plain,
( unit != op(unit,unit)
| spl21_15
| ~ spl21_110 ),
inference(forward_demodulation,[],[f296,f682]) ).
fof(f296,plain,
( unit != op(inv(unit),unit)
| spl21_15 ),
inference(avatar_component_clause,[],[f294]) ).
fof(f294,plain,
( spl21_15
<=> unit = op(inv(unit),unit) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_15])]) ).
fof(f1073,plain,
( ~ spl21_8
| spl21_14
| ~ spl21_97
| ~ spl21_164 ),
inference(avatar_contradiction_clause,[],[f1072]) ).
fof(f1072,plain,
( $false
| ~ spl21_8
| spl21_14
| ~ spl21_97
| ~ spl21_164 ),
inference(subsumption_resolution,[],[f1071,f968]) ).
fof(f1071,plain,
( e1 != op(e3,e2)
| ~ spl21_8
| spl21_14
| ~ spl21_97
| ~ spl21_164 ),
inference(forward_demodulation,[],[f1070,f623]) ).
fof(f1070,plain,
( op(e3,e2) != op(unit,e1)
| ~ spl21_8
| spl21_14
| ~ spl21_164 ),
inference(forward_demodulation,[],[f1069,f267]) ).
fof(f1069,plain,
( op(unit,e1) != op(op(unit,e3),e2)
| spl21_14
| ~ spl21_164 ),
inference(forward_demodulation,[],[f292,f968]) ).
fof(f292,plain,
( op(op(unit,e3),e2) != op(unit,op(e3,e2))
| spl21_14 ),
inference(avatar_component_clause,[],[f290]) ).
fof(f290,plain,
( spl21_14
<=> op(op(unit,e3),e2) = op(unit,op(e3,e2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_14])]) ).
fof(f1067,plain,
( spl21_13
| ~ spl21_79
| ~ spl21_85
| ~ spl21_112 ),
inference(avatar_contradiction_clause,[],[f1066]) ).
fof(f1066,plain,
( $false
| spl21_13
| ~ spl21_79
| ~ spl21_85
| ~ spl21_112 ),
inference(subsumption_resolution,[],[f1065,f575]) ).
fof(f1065,plain,
( e2 != op(e2,unit)
| spl21_13
| ~ spl21_79
| ~ spl21_112 ),
inference(forward_demodulation,[],[f1064,f692]) ).
fof(f1064,plain,
( op(e3,e1) != op(op(e3,e1),unit)
| spl21_13
| ~ spl21_79 ),
inference(forward_demodulation,[],[f288,f551]) ).
fof(f288,plain,
( op(op(e3,e1),unit) != op(e3,op(e1,unit))
| spl21_13 ),
inference(avatar_component_clause,[],[f286]) ).
fof(f286,plain,
( spl21_13
<=> op(op(e3,e1),unit) = op(e3,op(e1,unit)) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_13])]) ).
fof(f1061,plain,
( spl21_12
| ~ spl21_125
| ~ spl21_151 ),
inference(avatar_contradiction_clause,[],[f1060]) ).
fof(f1060,plain,
( $false
| spl21_12
| ~ spl21_125
| ~ spl21_151 ),
inference(subsumption_resolution,[],[f1059,f894]) ).
fof(f1059,plain,
( op(e3,e3) != unit
| spl21_12
| ~ spl21_125 ),
inference(forward_demodulation,[],[f284,f756]) ).
fof(f284,plain,
( unit != op(inv(e3),e3)
| spl21_12 ),
inference(avatar_component_clause,[],[f282]) ).
fof(f282,plain,
( spl21_12
<=> unit = op(inv(e3),e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_12])]) ).
fof(f1056,plain,
( spl21_10
| ~ spl21_60
| ~ spl21_98
| ~ spl21_151 ),
inference(avatar_contradiction_clause,[],[f1055]) ).
fof(f1055,plain,
( $false
| spl21_10
| ~ spl21_60
| ~ spl21_98
| ~ spl21_151 ),
inference(subsumption_resolution,[],[f1054,f627]) ).
fof(f1054,plain,
( unit != op(unit,unit)
| spl21_10
| ~ spl21_60
| ~ spl21_151 ),
inference(forward_demodulation,[],[f1053,f894]) ).
fof(f1053,plain,
( op(e3,e3) != op(op(e3,e3),unit)
| spl21_10
| ~ spl21_60 ),
inference(forward_demodulation,[],[f276,f475]) ).
fof(f276,plain,
( op(op(e3,e3),unit) != op(e3,op(e3,unit))
| spl21_10 ),
inference(avatar_component_clause,[],[f274]) ).
fof(f274,plain,
( spl21_10
<=> op(op(e3,e3),unit) = op(e3,op(e3,unit)) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_10])]) ).
fof(f1052,plain,
( spl21_11
| ~ spl21_54
| ~ spl21_98
| ~ spl21_128 ),
inference(avatar_contradiction_clause,[],[f1051]) ).
fof(f1051,plain,
( $false
| spl21_11
| ~ spl21_54
| ~ spl21_98
| ~ spl21_128 ),
inference(subsumption_resolution,[],[f1050,f627]) ).
fof(f1050,plain,
( unit != op(unit,unit)
| spl21_11
| ~ spl21_54
| ~ spl21_128 ),
inference(forward_demodulation,[],[f1049,f771]) ).
fof(f1049,plain,
( op(e2,e2) != op(unit,op(e2,e2))
| spl21_11
| ~ spl21_54 ),
inference(forward_demodulation,[],[f280,f451]) ).
fof(f280,plain,
( op(unit,op(e2,e2)) != op(op(unit,e2),e2)
| spl21_11 ),
inference(avatar_component_clause,[],[f278]) ).
fof(f278,plain,
( spl21_11
<=> op(unit,op(e2,e2)) = op(op(unit,e2),e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_11])]) ).
fof(f1048,plain,
spl21_151,
inference(avatar_split_clause,[],[f227,f893]) ).
fof(f227,plain,
op(e3,e3) = unit,
inference(definition_unfolding,[],[f152,f165]) ).
fof(f165,plain,
e0 = unit,
inference(cnf_transformation,[],[f3]) ).
fof(f3,axiom,
e0 = unit,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax3) ).
fof(f152,plain,
e0 = op(e3,e3),
inference(cnf_transformation,[],[f2]) ).
fof(f2,axiom,
( e1 = op(e0,e1)
& e1 = op(e3,e2)
& e3 = op(e3,e0)
& e3 = op(e1,e2)
& e1 = op(e1,e0)
& e2 = op(e2,e0)
& e0 = op(e2,e2)
& e0 = op(e1,e1)
& e1 = op(e2,e3)
& e0 = op(e0,e0)
& e3 = op(e0,e3)
& e3 = op(e2,e1)
& e0 = op(e3,e3)
& e2 = op(e0,e2)
& e2 = op(e1,e3)
& e2 = op(e3,e1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax2) ).
fof(f1047,plain,
spl21_146,
inference(avatar_split_clause,[],[f224,f864]) ).
fof(f224,plain,
op(e1,e1) = unit,
inference(definition_unfolding,[],[f157,f165]) ).
fof(f157,plain,
e0 = op(e1,e1),
inference(cnf_transformation,[],[f2]) ).
fof(f1046,plain,
spl21_164,
inference(avatar_split_clause,[],[f163,f967]) ).
fof(f163,plain,
e1 = op(e3,e2),
inference(cnf_transformation,[],[f2]) ).
fof(f1045,plain,
spl21_109,
inference(avatar_split_clause,[],[f161,f675]) ).
fof(f161,plain,
e3 = op(e1,e2),
inference(cnf_transformation,[],[f2]) ).
fof(f1044,plain,
spl21_159,
inference(avatar_split_clause,[],[f153,f935]) ).
fof(f153,plain,
e3 = op(e2,e1),
inference(cnf_transformation,[],[f2]) ).
fof(f1043,plain,
spl21_112,
inference(avatar_split_clause,[],[f149,f691]) ).
fof(f149,plain,
e2 = op(e3,e1),
inference(cnf_transformation,[],[f2]) ).
fof(f1042,plain,
spl21_143,
inference(avatar_split_clause,[],[f59,f847]) ).
fof(f59,plain,
e1 = inv(e1),
inference(cnf_transformation,[],[f4]) ).
fof(f4,axiom,
( e2 = inv(e2)
& e1 = inv(e1)
& e0 = inv(e0)
& e3 = inv(e3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax4) ).
fof(f1041,plain,
spl21_125,
inference(avatar_split_clause,[],[f57,f755]) ).
fof(f57,plain,
e3 = inv(e3),
inference(cnf_transformation,[],[f4]) ).
fof(f1029,plain,
spl21_85,
inference(avatar_split_clause,[],[f222,f574]) ).
fof(f222,plain,
e2 = op(e2,unit),
inference(definition_unfolding,[],[f159,f165]) ).
fof(f159,plain,
e2 = op(e2,e0),
inference(cnf_transformation,[],[f2]) ).
fof(f1016,plain,
( ~ spl21_8
| ~ spl21_28 ),
inference(avatar_split_clause,[],[f184,f346,f266]) ).
fof(f346,plain,
( spl21_28
<=> sP14 ),
introduced(avatar_definition,[new_symbols(naming,[spl21_28])]) ).
fof(f184,plain,
( ~ sP14
| e3 != op(unit,e3) ),
inference(definition_unfolding,[],[f86,f165]) ).
fof(f86,plain,
( e3 != op(e0,e3)
| ~ sP14 ),
inference(cnf_transformation,[],[f36]) ).
fof(f36,plain,
( ( e1 != op(e0,e3)
& e2 != op(e0,e3)
& e3 != op(e0,e3)
& e0 != op(e0,e3) )
| ~ sP14 ),
inference(nnf_transformation,[],[f22]) ).
fof(f22,plain,
( ( e1 != op(e0,e3)
& e2 != op(e0,e3)
& e3 != op(e0,e3)
& e0 != op(e0,e3) )
| ~ sP14 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP14])]) ).
fof(f1010,plain,
spl21_98,
inference(avatar_split_clause,[],[f225,f626]) ).
fof(f225,plain,
unit = op(unit,unit),
inference(definition_unfolding,[],[f155,f165,f165,f165]) ).
fof(f155,plain,
e0 = op(e0,e0),
inference(cnf_transformation,[],[f2]) ).
fof(f988,plain,
( ~ spl21_97
| ~ spl21_53 ),
inference(avatar_split_clause,[],[f194,f446,f622]) ).
fof(f446,plain,
( spl21_53
<=> sP9 ),
introduced(avatar_definition,[new_symbols(naming,[spl21_53])]) ).
fof(f194,plain,
( ~ sP9
| e1 != op(unit,e1) ),
inference(definition_unfolding,[],[f107,f165]) ).
fof(f107,plain,
( e1 != op(e0,e1)
| ~ sP9 ),
inference(cnf_transformation,[],[f41]) ).
fof(f41,plain,
( ( e2 != op(e0,e1)
& e1 != op(e0,e1)
& e0 != op(e0,e1)
& e3 != op(e0,e1) )
| ~ sP9 ),
inference(nnf_transformation,[],[f17]) ).
fof(f17,plain,
( ( e2 != op(e0,e1)
& e1 != op(e0,e1)
& e0 != op(e0,e1)
& e3 != op(e0,e1) )
| ~ sP9 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP9])]) ).
fof(f987,plain,
spl21_79,
inference(avatar_split_clause,[],[f221,f550]) ).
fof(f221,plain,
e1 = op(e1,unit),
inference(definition_unfolding,[],[f160,f165]) ).
fof(f160,plain,
e1 = op(e1,e0),
inference(cnf_transformation,[],[f2]) ).
fof(f971,plain,
( ~ spl21_79
| spl21_9
| ~ spl21_57
| ~ spl21_35
| ~ spl21_47
| ~ spl21_74
| spl21_90
| ~ spl21_39
| ~ spl21_60
| ~ spl21_67
| spl21_49
| spl21_43
| ~ spl21_11
| ~ spl21_75
| ~ spl21_21
| spl21_53
| ~ spl21_48
| ~ spl21_50
| ~ spl21_92
| ~ spl21_38
| ~ spl21_100
| ~ spl21_81
| ~ spl21_36
| ~ spl21_44
| ~ spl21_78
| ~ spl21_58
| ~ spl21_104
| ~ spl21_63
| ~ spl21_66
| ~ spl21_55
| ~ spl21_82
| ~ spl21_72
| ~ spl21_34
| spl21_40
| spl21_70
| ~ spl21_101
| spl21_19
| ~ spl21_62
| ~ spl21_42
| ~ spl21_91
| ~ spl21_76
| spl21_94
| ~ spl21_102
| spl21_96
| ~ spl21_54
| ~ spl21_31
| ~ spl21_14
| ~ spl21_65
| ~ spl21_99
| ~ spl21_41
| ~ spl21_30
| spl21_29
| ~ spl21_80
| spl21_17
| ~ spl21_98
| ~ spl21_23
| ~ spl21_10
| ~ spl21_52
| spl21_6
| ~ spl21_18
| spl21_28
| ~ spl21_33
| spl21_3
| ~ spl21_56
| ~ spl21_89
| ~ spl21_32
| ~ spl21_95
| ~ spl21_71
| ~ spl21_24
| ~ spl21_73
| ~ spl21_13
| ~ spl21_69
| ~ spl21_61
| ~ spl21_20
| ~ spl21_12
| spl21_59
| ~ spl21_83
| ~ spl21_93
| spl21_84
| spl21_16
| ~ spl21_64
| ~ spl21_77
| spl21_22
| ~ spl21_88
| ~ spl21_15
| ~ spl21_25
| ~ spl21_45
| ~ spl21_37
| spl21_87
| ~ spl21_26
| ~ spl21_46
| ~ spl21_68
| ~ spl21_51
| ~ spl21_27
| ~ spl21_86
| ~ spl21_8
| ~ spl21_97
| ~ spl21_103
| ~ spl21_85
| spl21_2 ),
inference(avatar_split_clause,[],[f229,f239,f574,f646,f622,f266,f578,f342,f438,f506,f418,f338,f582,f382,f414,f334,f294,f586,f322,f542,f490,f298,f570,f606,f566,f470,f282,f314,f478,f510,f286,f526,f330,f518,f614,f362,f590,f458,f244,f366,f346,f306,f257,f442,f274,f326,f626,f302,f554,f350,f354,f398,f630,f494,f290,f358,f450,f618,f642,f610,f538,f598,f402,f482,f310,f638,f514,f394,f370,f522,f562,f454,f498,f486,f650,f466,f546,f410,f378,f558,f634,f386,f602,f434,f426,f446,f318,f534,f278,f406,f430,f502,f474,f390,f594,f530,f422,f374,f462,f270,f550]) ).
fof(f270,plain,
( spl21_9
<=> sP7 ),
introduced(avatar_definition,[new_symbols(naming,[spl21_9])]) ).
fof(f594,plain,
( spl21_90
<=> sP15 ),
introduced(avatar_definition,[new_symbols(naming,[spl21_90])]) ).
fof(f430,plain,
( spl21_49
<=> sP1 ),
introduced(avatar_definition,[new_symbols(naming,[spl21_49])]) ).
fof(f406,plain,
( spl21_43
<=> sP0 ),
introduced(avatar_definition,[new_symbols(naming,[spl21_43])]) ).
fof(f394,plain,
( spl21_40
<=> sP10 ),
introduced(avatar_definition,[new_symbols(naming,[spl21_40])]) ).
fof(f514,plain,
( spl21_70
<=> sP13 ),
introduced(avatar_definition,[new_symbols(naming,[spl21_70])]) ).
fof(f310,plain,
( spl21_19
<=> sP16 ),
introduced(avatar_definition,[new_symbols(naming,[spl21_19])]) ).
fof(f610,plain,
( spl21_94
<=> sP11 ),
introduced(avatar_definition,[new_symbols(naming,[spl21_94])]) ).
fof(f618,plain,
( spl21_96
<=> sP20 ),
introduced(avatar_definition,[new_symbols(naming,[spl21_96])]) ).
fof(f350,plain,
( spl21_29
<=> sP2 ),
introduced(avatar_definition,[new_symbols(naming,[spl21_29])]) ).
fof(f302,plain,
( spl21_17
<=> sP4 ),
introduced(avatar_definition,[new_symbols(naming,[spl21_17])]) ).
fof(f257,plain,
( spl21_6
<=> sP19 ),
introduced(avatar_definition,[new_symbols(naming,[spl21_6])]) ).
fof(f244,plain,
( spl21_3
<=> sP17 ),
introduced(avatar_definition,[new_symbols(naming,[spl21_3])]) ).
fof(f470,plain,
( spl21_59
<=> sP8 ),
introduced(avatar_definition,[new_symbols(naming,[spl21_59])]) ).
fof(f570,plain,
( spl21_84
<=> sP6 ),
introduced(avatar_definition,[new_symbols(naming,[spl21_84])]) ).
fof(f298,plain,
( spl21_16
<=> sP3 ),
introduced(avatar_definition,[new_symbols(naming,[spl21_16])]) ).
fof(f322,plain,
( spl21_22
<=> sP5 ),
introduced(avatar_definition,[new_symbols(naming,[spl21_22])]) ).
fof(f582,plain,
( spl21_87
<=> sP12 ),
introduced(avatar_definition,[new_symbols(naming,[spl21_87])]) ).
fof(f239,plain,
( spl21_2
<=> sP18 ),
introduced(avatar_definition,[new_symbols(naming,[spl21_2])]) ).
fof(f229,plain,
( sP18
| e2 != op(e2,unit)
| op(op(e1,unit),unit) != op(e1,op(unit,unit))
| e1 != op(unit,e1)
| e3 != op(unit,e3)
| op(e1,op(e2,unit)) != op(op(e1,e2),unit)
| op(op(e2,e1),e2) != op(e2,op(e1,e2))
| op(op(e1,e2),e2) != op(e1,op(e2,e2))
| op(op(e1,e3),e2) != op(e1,op(e3,e2))
| op(op(e2,e3),e2) != op(e2,op(e3,e2))
| op(op(e1,unit),e1) != op(e1,op(unit,e1))
| sP12
| op(op(unit,unit),unit) != op(unit,op(unit,unit))
| op(op(unit,unit),e2) != op(unit,op(unit,e2))
| op(op(e2,unit),e1) != op(e2,op(unit,e1))
| unit != op(inv(unit),unit)
| op(e2,op(unit,e2)) != op(op(e2,unit),e2)
| sP5
| op(unit,op(e1,unit)) != op(op(unit,e1),unit)
| op(unit,op(e2,unit)) != op(op(unit,e2),unit)
| sP3
| sP6
| op(op(e1,e1),e3) != op(e1,op(e1,e3))
| op(unit,op(e1,e1)) != op(op(unit,e1),e1)
| sP8
| unit != op(inv(e3),e3)
| op(op(e1,unit),e2) != op(e1,op(unit,e2))
| op(e3,op(unit,e1)) != op(op(e3,unit),e1)
| op(e2,op(unit,unit)) != op(op(e2,unit),unit)
| op(op(e3,e1),unit) != op(e3,op(e1,unit))
| op(op(e3,e1),e2) != op(e3,op(e1,e2))
| op(op(unit,e3),e3) != op(unit,op(e3,e3))
| unit != op(e1,inv(e1))
| op(op(e3,e3),e3) != op(e3,op(e3,e3))
| op(op(e3,e2),e1) != op(e3,op(e2,e1))
| op(op(e3,e2),e3) != op(e3,op(e2,e3))
| op(op(e1,e3),e1) != op(e1,op(e3,e1))
| sP17
| unit != op(e3,inv(e3))
| sP14
| op(op(e2,e2),e2) != op(e2,op(e2,e2))
| sP19
| op(op(e1,e2),e1) != op(e1,op(e2,e1))
| op(op(e3,e3),unit) != op(e3,op(e3,unit))
| op(op(e3,e1),e1) != op(e3,op(e1,e1))
| unit != op(unit,unit)
| sP4
| op(op(e3,e3),e2) != op(e3,op(e3,e2))
| sP2
| unit != op(inv(e1),e1)
| op(op(e2,e3),e3) != op(e2,op(e3,e3))
| op(op(e2,e3),unit) != op(e2,op(e3,unit))
| op(op(e1,unit),e3) != op(e1,op(unit,e3))
| op(op(unit,e3),e2) != op(unit,op(e3,e2))
| op(op(unit,e3),unit) != op(unit,op(e3,unit))
| e2 != op(unit,e2)
| sP20
| op(op(e1,e1),e2) != op(e1,op(e1,e2))
| sP11
| op(e3,op(e2,unit)) != op(op(e3,e2),unit)
| op(op(unit,e1),e3) != op(unit,op(e1,e3))
| op(op(e2,e1),e3) != op(e2,op(e1,e3))
| op(e2,op(unit,e3)) != op(op(e2,unit),e3)
| sP16
| unit != op(inv(e2),e2)
| sP13
| sP10
| op(op(e2,e1),e1) != op(e2,op(e1,e1))
| op(op(e3,unit),e2) != op(e3,op(unit,e2))
| op(op(e1,e3),e3) != op(e1,op(e3,e3))
| op(unit,op(unit,e3)) != op(op(unit,unit),e3)
| op(op(e2,e3),e1) != op(e2,op(e3,e1))
| op(op(e2,e1),unit) != op(e2,op(e1,unit))
| op(op(e2,e2),e1) != op(e2,op(e2,e1))
| op(op(e1,e1),e1) != op(e1,op(e1,e1))
| op(op(e3,e2),e2) != op(e3,op(e2,e2))
| op(unit,op(e3,e1)) != op(op(unit,e3),e1)
| op(op(unit,e2),e1) != op(unit,op(e2,e1))
| op(op(e1,e3),unit) != op(e1,op(e3,unit))
| op(op(e3,e3),e1) != op(e3,op(e3,e1))
| unit != op(unit,inv(unit))
| op(op(e2,e2),e3) != op(e2,op(e2,e3))
| op(op(e3,e1),e3) != op(e3,op(e1,e3))
| op(op(unit,e2),e3) != op(unit,op(e2,e3))
| sP9
| op(op(e1,e2),e3) != op(e1,op(e2,e3))
| op(e3,op(unit,e3)) != op(op(e3,unit),e3)
| op(unit,op(e2,e2)) != op(op(unit,e2),e2)
| sP0
| sP1
| op(op(unit,e1),e2) != op(unit,op(e1,e2))
| e3 != op(e3,unit)
| op(e1,op(e1,unit)) != op(op(e1,e1),unit)
| sP15
| unit != op(e2,inv(e2))
| op(op(e3,unit),unit) != op(e3,op(unit,unit))
| op(unit,op(unit,e1)) != op(op(unit,unit),e1)
| op(op(e2,e2),unit) != op(e2,op(e2,unit))
| sP7
| e1 != op(e1,unit) ),
inference(duplicate_literal_removal,[],[f216]) ).
fof(f216,plain,
( op(unit,op(e1,unit)) != op(op(unit,e1),unit)
| e3 != op(unit,e3)
| op(op(unit,e1),e3) != op(unit,op(e1,e3))
| unit != op(inv(e3),e3)
| op(op(e3,unit),unit) != op(e3,op(unit,unit))
| op(unit,op(unit,e1)) != op(op(unit,unit),e1)
| sP12
| op(op(unit,e3),e2) != op(unit,op(e3,e2))
| op(op(e2,e1),unit) != op(e2,op(e1,unit))
| op(op(e1,e3),e1) != op(e1,op(e3,e1))
| op(op(unit,unit),unit) != op(unit,op(unit,unit))
| sP3
| op(op(unit,e3),unit) != op(unit,op(e3,unit))
| op(op(e1,e1),e3) != op(e1,op(e1,e3))
| sP9
| unit != op(e3,inv(e3))
| unit != op(inv(e1),e1)
| op(op(e2,e2),e3) != op(e2,op(e2,e3))
| op(op(e1,e2),e1) != op(e1,op(e2,e1))
| sP2
| op(op(e2,e3),e2) != op(e2,op(e3,e2))
| op(op(e3,e1),e2) != op(e3,op(e1,e2))
| unit != op(unit,unit)
| sP16
| sP1
| op(e2,op(unit,e3)) != op(op(e2,unit),e3)
| op(op(e3,e3),unit) != op(e3,op(e3,unit))
| op(op(e1,e3),unit) != op(e1,op(e3,unit))
| sP6
| e1 != op(e1,unit)
| op(op(e2,e1),e1) != op(e2,op(e1,e1))
| op(op(e2,e3),unit) != op(e2,op(e3,unit))
| op(op(e3,e1),unit) != op(e3,op(e1,unit))
| sP11
| unit != op(e2,inv(e2))
| op(op(e1,unit),e1) != op(e1,op(unit,e1))
| unit != op(inv(unit),unit)
| sP17
| op(op(e3,e2),e3) != op(e3,op(e2,e3))
| op(op(unit,e2),e3) != op(unit,op(e2,e3))
| op(op(e2,e3),e1) != op(e2,op(e3,e1))
| op(op(e1,e3),e3) != op(e1,op(e3,e3))
| unit != op(inv(e2),e2)
| sP14
| sP19
| sP20
| op(e2,op(unit,e2)) != op(op(e2,unit),e2)
| sP18
| op(op(e1,e1),e1) != op(e1,op(e1,e1))
| op(op(e3,e2),e1) != op(e3,op(e2,e1))
| op(op(e2,e2),unit) != op(e2,op(e2,unit))
| op(op(unit,e3),e3) != op(unit,op(e3,e3))
| unit != op(unit,inv(unit))
| op(op(e1,unit),e3) != op(e1,op(unit,e3))
| op(op(e3,e1),e3) != op(e3,op(e1,e3))
| e2 != op(unit,e2)
| op(op(e2,e3),e3) != op(e2,op(e3,e3))
| op(op(e3,e3),e2) != op(e3,op(e3,e2))
| op(op(unit,unit),e2) != op(unit,op(unit,e2))
| op(op(e1,e2),e2) != op(e1,op(e2,e2))
| op(unit,op(e3,e1)) != op(op(unit,e3),e1)
| op(op(e2,e2),e2) != op(e2,op(e2,e2))
| op(e3,op(e2,unit)) != op(op(e3,e2),unit)
| e2 != op(unit,e2)
| op(op(e2,e1),e3) != op(e2,op(e1,e3))
| op(e2,op(unit,unit)) != op(op(e2,unit),unit)
| op(op(e3,e3),e1) != op(e3,op(e3,e1))
| op(unit,op(e1,e1)) != op(op(unit,e1),e1)
| sP15
| e3 != op(e3,unit)
| sP8
| op(e3,op(unit,e1)) != op(op(e3,unit),e1)
| op(op(e2,unit),e1) != op(e2,op(unit,e1))
| op(op(e1,unit),e2) != op(e1,op(unit,e2))
| op(op(e1,e2),e3) != op(e1,op(e2,e3))
| op(op(e1,e1),e2) != op(e1,op(e1,e2))
| op(op(e1,e3),e2) != op(e1,op(e3,e2))
| op(e1,op(e1,unit)) != op(op(e1,e1),unit)
| op(op(e3,e2),e2) != op(e3,op(e2,e2))
| sP10
| sP4
| op(op(e1,unit),unit) != op(e1,op(unit,unit))
| op(op(e3,unit),e2) != op(e3,op(unit,e2))
| op(op(e3,e1),e1) != op(e3,op(e1,e1))
| op(unit,op(e2,unit)) != op(op(unit,e2),unit)
| op(unit,op(e2,e2)) != op(op(unit,e2),e2)
| sP7
| e2 != op(e2,unit)
| unit != op(e1,inv(e1))
| op(unit,op(unit,e3)) != op(op(unit,unit),e3)
| op(e3,op(unit,e3)) != op(op(e3,unit),e3)
| e1 != op(unit,e1)
| op(op(e2,e1),e2) != op(e2,op(e1,e2))
| op(op(unit,e1),e2) != op(unit,op(e1,e2))
| op(op(e2,e2),e1) != op(e2,op(e2,e1))
| op(op(unit,e2),e1) != op(unit,op(e2,e1))
| op(op(e3,e3),e3) != op(e3,op(e3,e3))
| sP0
| unit != op(unit,unit)
| op(e1,op(e2,unit)) != op(op(e1,e2),unit)
| sP5
| sP13 ),
inference(definition_unfolding,[],[f147,f165,f165,f165,f165,f165,f165,f165,f165,f165,f165,f165,f165,f165,f165,f165,f165,f165,f165,f165,f165,f165,f165,f165,f165,f165,f165,f165,f165,f165,f165,f165,f165,f165,f165,f165,f165,f165,f165,f165,f165,f165,f165,f165,f165,f165,f165,f165,f165,f165,f165,f165,f165,f165,f165,f165,f165,f165,f165,f165,f165,f165,f165,f165,f165,f165,f165,f165,f165,f165,f165,f165,f165,f165,f165,f165,f165,f165,f165,f165,f165,f165,f165,f165,f165,f165,f165,f165,f165,f165,f165,f165,f165,f165,f165,f165,f165,f165,f165,f165,f165,f165,f165,f165,f165,f165]) ).
fof(f147,plain,
( op(op(e1,e3),e3) != op(e1,op(e3,e3))
| op(op(e0,e2),e0) != op(e0,op(e2,e0))
| op(op(e1,e3),e2) != op(e1,op(e3,e2))
| e2 != op(e0,e2)
| op(op(e2,e2),e1) != op(e2,op(e2,e1))
| op(op(e2,e1),e3) != op(e2,op(e1,e3))
| sP20
| sP19
| op(op(e1,e1),e2) != op(e1,op(e1,e2))
| op(op(e3,e1),e0) != op(e3,op(e1,e0))
| op(op(e2,e3),e0) != op(e2,op(e3,e0))
| op(op(e2,e1),e0) != op(e2,op(e1,e0))
| sP18
| op(op(e3,e3),e0) != op(e3,op(e3,e0))
| op(op(e2,e3),e3) != op(e2,op(e3,e3))
| sP17
| e3 != op(e3,unit)
| sP16
| sP15
| op(op(e1,e2),e1) != op(e1,op(e2,e1))
| op(op(e3,e0),e2) != op(e3,op(e0,e2))
| op(op(e2,e1),e2) != op(e2,op(e1,e2))
| op(op(e2,e1),e1) != op(e2,op(e1,e1))
| op(op(e2,e2),e2) != op(e2,op(e2,e2))
| op(op(e2,e0),e0) != op(e2,op(e0,e0))
| op(op(e1,e1),e1) != op(e1,op(e1,e1))
| op(op(e0,e0),e2) != op(e0,op(e0,e2))
| op(op(e2,e3),e1) != op(e2,op(e3,e1))
| op(op(e3,e3),e3) != op(e3,op(e3,e3))
| sP14
| op(op(e0,e0),e1) != op(e0,op(e0,e1))
| op(op(e0,e1),e1) != op(e0,op(e1,e1))
| op(op(e3,e1),e1) != op(e3,op(e1,e1))
| op(op(e1,e1),e3) != op(e1,op(e1,e3))
| op(op(e3,e0),e1) != op(e3,op(e0,e1))
| op(op(e1,e0),e1) != op(e1,op(e0,e1))
| op(op(e0,e1),e0) != op(e0,op(e1,e0))
| e0 != op(e0,unit)
| unit != op(e1,inv(e1))
| sP13
| op(op(e0,e2),e2) != op(e0,op(e2,e2))
| sP12
| unit != op(inv(e0),e0)
| sP11
| unit != op(inv(e3),e3)
| op(op(e1,e2),e0) != op(e1,op(e2,e0))
| sP10
| op(op(e2,e2),e0) != op(e2,op(e2,e0))
| op(op(e1,e0),e3) != op(e1,op(e0,e3))
| sP9
| unit != op(e2,inv(e2))
| op(op(e3,e1),e2) != op(e3,op(e1,e2))
| op(op(e1,e3),e1) != op(e1,op(e3,e1))
| unit != op(inv(e1),e1)
| op(op(e1,e0),e0) != op(e1,op(e0,e0))
| op(op(e3,e0),e0) != op(e3,op(e0,e0))
| op(op(e2,e0),e3) != op(e2,op(e0,e3))
| op(op(e0,e1),e2) != op(e0,op(e1,e2))
| op(op(e0,e0),e0) != op(e0,op(e0,e0))
| unit != op(inv(e2),e2)
| op(op(e0,e2),e3) != op(e0,op(e2,e3))
| sP8
| op(op(e0,e3),e2) != op(e0,op(e3,e2))
| op(op(e1,e3),e0) != op(e1,op(e3,e0))
| sP7
| e0 != op(unit,e0)
| op(op(e0,e3),e1) != op(e0,op(e3,e1))
| op(op(e3,e2),e0) != op(e3,op(e2,e0))
| op(op(e3,e1),e3) != op(e3,op(e1,e3))
| op(op(e1,e1),e0) != op(e1,op(e1,e0))
| op(op(e0,e3),e3) != op(e0,op(e3,e3))
| op(op(e2,e2),e3) != op(e2,op(e2,e3))
| op(op(e2,e0),e1) != op(e2,op(e0,e1))
| e1 != op(e1,unit)
| op(op(e3,e2),e3) != op(e3,op(e2,e3))
| unit != op(e0,inv(e0))
| op(op(e1,e0),e2) != op(e1,op(e0,e2))
| op(op(e1,e2),e3) != op(e1,op(e2,e3))
| op(op(e0,e2),e1) != op(e0,op(e2,e1))
| sP6
| op(op(e2,e3),e2) != op(e2,op(e3,e2))
| op(op(e3,e3),e2) != op(e3,op(e3,e2))
| e2 != op(e2,unit)
| e1 != op(unit,e1)
| op(op(e0,e1),e3) != op(e0,op(e1,e3))
| sP5
| op(op(e3,e2),e1) != op(e3,op(e2,e1))
| sP4
| op(op(e0,e3),e0) != op(e0,op(e3,e0))
| op(op(e3,e2),e2) != op(e3,op(e2,e2))
| op(op(e2,e0),e2) != op(e2,op(e0,e2))
| op(op(e1,e2),e2) != op(e1,op(e2,e2))
| op(op(e3,e3),e1) != op(e3,op(e3,e1))
| sP3
| e2 != op(unit,e2)
| op(op(e3,e0),e3) != op(e3,op(e0,e3))
| unit != op(e3,inv(e3))
| sP2
| sP1
| e3 != op(unit,e3)
| op(op(e0,e0),e3) != op(e0,op(e0,e3))
| sP0 ),
inference(cnf_transformation,[],[f29]) ).
fof(f29,plain,
( op(op(e1,e3),e3) != op(e1,op(e3,e3))
| op(op(e0,e2),e0) != op(e0,op(e2,e0))
| op(op(e1,e3),e2) != op(e1,op(e3,e2))
| ( e0 != op(e0,e2)
& e2 != op(e0,e2)
& e1 != op(e0,e2)
& e3 != op(e0,e2) )
| op(op(e2,e2),e1) != op(e2,op(e2,e1))
| op(op(e2,e1),e3) != op(e2,op(e1,e3))
| sP20
| sP19
| op(op(e1,e1),e2) != op(e1,op(e1,e2))
| op(op(e3,e1),e0) != op(e3,op(e1,e0))
| op(op(e2,e3),e0) != op(e2,op(e3,e0))
| op(op(e2,e1),e0) != op(e2,op(e1,e0))
| sP18
| op(op(e3,e3),e0) != op(e3,op(e3,e0))
| op(op(e2,e3),e3) != op(e2,op(e3,e3))
| sP17
| e3 != op(e3,unit)
| sP16
| sP15
| op(op(e1,e2),e1) != op(e1,op(e2,e1))
| op(op(e3,e0),e2) != op(e3,op(e0,e2))
| op(op(e2,e1),e2) != op(e2,op(e1,e2))
| op(op(e2,e1),e1) != op(e2,op(e1,e1))
| op(op(e2,e2),e2) != op(e2,op(e2,e2))
| op(op(e2,e0),e0) != op(e2,op(e0,e0))
| op(op(e1,e1),e1) != op(e1,op(e1,e1))
| op(op(e0,e0),e2) != op(e0,op(e0,e2))
| op(op(e2,e3),e1) != op(e2,op(e3,e1))
| op(op(e3,e3),e3) != op(e3,op(e3,e3))
| sP14
| op(op(e0,e0),e1) != op(e0,op(e0,e1))
| op(op(e0,e1),e1) != op(e0,op(e1,e1))
| op(op(e3,e1),e1) != op(e3,op(e1,e1))
| op(op(e1,e1),e3) != op(e1,op(e1,e3))
| op(op(e3,e0),e1) != op(e3,op(e0,e1))
| op(op(e1,e0),e1) != op(e1,op(e0,e1))
| op(op(e0,e1),e0) != op(e0,op(e1,e0))
| e0 != op(e0,unit)
| unit != op(e1,inv(e1))
| sP13
| op(op(e0,e2),e2) != op(e0,op(e2,e2))
| sP12
| unit != op(inv(e0),e0)
| sP11
| unit != op(inv(e3),e3)
| op(op(e1,e2),e0) != op(e1,op(e2,e0))
| sP10
| op(op(e2,e2),e0) != op(e2,op(e2,e0))
| op(op(e1,e0),e3) != op(e1,op(e0,e3))
| sP9
| unit != op(e2,inv(e2))
| op(op(e3,e1),e2) != op(e3,op(e1,e2))
| op(op(e1,e3),e1) != op(e1,op(e3,e1))
| unit != op(inv(e1),e1)
| op(op(e1,e0),e0) != op(e1,op(e0,e0))
| op(op(e3,e0),e0) != op(e3,op(e0,e0))
| op(op(e2,e0),e3) != op(e2,op(e0,e3))
| op(op(e0,e1),e2) != op(e0,op(e1,e2))
| op(op(e0,e0),e0) != op(e0,op(e0,e0))
| unit != op(inv(e2),e2)
| op(op(e0,e2),e3) != op(e0,op(e2,e3))
| sP8
| op(op(e0,e3),e2) != op(e0,op(e3,e2))
| op(op(e1,e3),e0) != op(e1,op(e3,e0))
| sP7
| e0 != op(unit,e0)
| op(op(e0,e3),e1) != op(e0,op(e3,e1))
| op(op(e3,e2),e0) != op(e3,op(e2,e0))
| op(op(e3,e1),e3) != op(e3,op(e1,e3))
| op(op(e1,e1),e0) != op(e1,op(e1,e0))
| op(op(e0,e3),e3) != op(e0,op(e3,e3))
| op(op(e2,e2),e3) != op(e2,op(e2,e3))
| op(op(e2,e0),e1) != op(e2,op(e0,e1))
| e1 != op(e1,unit)
| op(op(e3,e2),e3) != op(e3,op(e2,e3))
| unit != op(e0,inv(e0))
| op(op(e1,e0),e2) != op(e1,op(e0,e2))
| op(op(e1,e2),e3) != op(e1,op(e2,e3))
| op(op(e0,e2),e1) != op(e0,op(e2,e1))
| sP6
| op(op(e2,e3),e2) != op(e2,op(e3,e2))
| op(op(e3,e3),e2) != op(e3,op(e3,e2))
| e2 != op(e2,unit)
| e1 != op(unit,e1)
| op(op(e0,e1),e3) != op(e0,op(e1,e3))
| sP5
| op(op(e3,e2),e1) != op(e3,op(e2,e1))
| sP4
| op(op(e0,e3),e0) != op(e0,op(e3,e0))
| op(op(e3,e2),e2) != op(e3,op(e2,e2))
| op(op(e2,e0),e2) != op(e2,op(e0,e2))
| op(op(e1,e2),e2) != op(e1,op(e2,e2))
| op(op(e3,e3),e1) != op(e3,op(e3,e1))
| sP3
| e2 != op(unit,e2)
| op(op(e3,e0),e3) != op(e3,op(e0,e3))
| unit != op(e3,inv(e3))
| sP2
| sP1
| e3 != op(unit,e3)
| op(op(e0,e0),e3) != op(e0,op(e0,e3))
| sP0 ),
inference(definition_folding,[],[f7,f28,f27,f26,f25,f24,f23,f22,f21,f20,f19,f18,f17,f16,f15,f14,f13,f12,f11,f10,f9,f8]) ).
fof(f8,plain,
( ( e1 != op(e2,e0)
& e2 != op(e2,e0)
& e0 != op(e2,e0)
& e3 != op(e2,e0) )
| ~ sP0 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
fof(f9,plain,
( ( e0 != op(e3,e0)
& e3 != op(e3,e0)
& e1 != op(e3,e0)
& e2 != op(e3,e0) )
| ~ sP1 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])]) ).
fof(f10,plain,
( ( e3 != op(e1,e1)
& e1 != op(e1,e1)
& e0 != op(e1,e1)
& e2 != op(e1,e1) )
| ~ sP2 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP2])]) ).
fof(f11,plain,
( ( e0 != op(e3,e3)
& e3 != op(e3,e3)
& e1 != op(e3,e3)
& e2 != op(e3,e3) )
| ~ sP3 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP3])]) ).
fof(f12,plain,
( ( e2 != inv(e2)
& e1 != inv(e2)
& e0 != inv(e2)
& e3 != inv(e2) )
| ~ sP4 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP4])]) ).
fof(f13,plain,
( ( e0 != op(e1,e3)
& e3 != op(e1,e3)
& e1 != op(e1,e3)
& e2 != op(e1,e3) )
| ~ sP5 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP5])]) ).
fof(f14,plain,
( ( e1 != op(e3,e2)
& e3 != op(e3,e2)
& e0 != op(e3,e2)
& e2 != op(e3,e2) )
| ~ sP6 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP6])]) ).
fof(f15,plain,
( ( ( e0 != op(e1,e1)
| e0 != op(e0,e0)
| e0 != op(e2,e2)
| e0 != op(e3,e3) )
& ( e3 != op(e0,e0)
| e3 != op(e2,e2)
| e3 != op(e1,e1)
| e3 != op(e3,e3) )
& ( e1 != op(e3,e3)
| e1 != op(e1,e1)
| e1 != op(e2,e2)
| e1 != op(e0,e0) )
& ( e2 != op(e1,e1)
| e2 != op(e3,e3)
| e2 != op(e2,e2)
| e2 != op(e0,e0) ) )
| ~ sP7 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP7])]) ).
fof(f16,plain,
( ( e0 != inv(e1)
& e2 != inv(e1)
& e3 != inv(e1)
& e1 != inv(e1) )
| ~ sP8 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP8])]) ).
fof(f18,plain,
( ( e1 != op(e0,e0)
& e3 != op(e0,e0)
& e2 != op(e0,e0)
& e0 != op(e0,e0) )
| ~ sP10 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP10])]) ).
fof(f19,plain,
( ( e3 != op(e2,e2)
& e1 != op(e2,e2)
& e0 != op(e2,e2)
& e2 != op(e2,e2) )
| ~ sP11 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP11])]) ).
fof(f20,plain,
( ( e0 != op(e1,e2)
& e2 != op(e1,e2)
& e1 != op(e1,e2)
& e3 != op(e1,e2) )
| ~ sP12 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP12])]) ).
fof(f21,plain,
( ( e3 != op(e2,e1)
& e0 != op(e2,e1)
& e2 != op(e2,e1)
& e1 != op(e2,e1) )
| ~ sP13 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP13])]) ).
fof(f23,plain,
( ( e0 != op(e1,e0)
& e2 != op(e1,e0)
& e1 != op(e1,e0)
& e3 != op(e1,e0) )
| ~ sP15 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP15])]) ).
fof(f24,plain,
( ( e1 != inv(e3)
& e2 != inv(e3)
& e0 != inv(e3)
& e3 != inv(e3) )
| ~ sP16 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP16])]) ).
fof(f25,plain,
( ( e0 != unit
& e3 != unit
& e1 != unit
& e2 != unit )
| ~ sP17 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP17])]) ).
fof(f26,plain,
( ( e0 != inv(e0)
& e1 != inv(e0)
& e3 != inv(e0)
& e2 != inv(e0) )
| ~ sP18 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP18])]) ).
fof(f27,plain,
( ( e1 != op(e2,e3)
& e0 != op(e2,e3)
& e2 != op(e2,e3)
& e3 != op(e2,e3) )
| ~ sP19 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP19])]) ).
fof(f28,plain,
( ( e1 != op(e3,e1)
& e3 != op(e3,e1)
& e0 != op(e3,e1)
& e2 != op(e3,e1) )
| ~ sP20 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP20])]) ).
fof(f7,plain,
( op(op(e1,e3),e3) != op(e1,op(e3,e3))
| op(op(e0,e2),e0) != op(e0,op(e2,e0))
| op(op(e1,e3),e2) != op(e1,op(e3,e2))
| ( e0 != op(e0,e2)
& e2 != op(e0,e2)
& e1 != op(e0,e2)
& e3 != op(e0,e2) )
| op(op(e2,e2),e1) != op(e2,op(e2,e1))
| op(op(e2,e1),e3) != op(e2,op(e1,e3))
| ( e1 != op(e3,e1)
& e3 != op(e3,e1)
& e0 != op(e3,e1)
& e2 != op(e3,e1) )
| ( e1 != op(e2,e3)
& e0 != op(e2,e3)
& e2 != op(e2,e3)
& e3 != op(e2,e3) )
| op(op(e1,e1),e2) != op(e1,op(e1,e2))
| op(op(e3,e1),e0) != op(e3,op(e1,e0))
| op(op(e2,e3),e0) != op(e2,op(e3,e0))
| op(op(e2,e1),e0) != op(e2,op(e1,e0))
| ( e0 != inv(e0)
& e1 != inv(e0)
& e3 != inv(e0)
& e2 != inv(e0) )
| op(op(e3,e3),e0) != op(e3,op(e3,e0))
| op(op(e2,e3),e3) != op(e2,op(e3,e3))
| ( e0 != unit
& e3 != unit
& e1 != unit
& e2 != unit )
| e3 != op(e3,unit)
| ( e1 != inv(e3)
& e2 != inv(e3)
& e0 != inv(e3)
& e3 != inv(e3) )
| ( e0 != op(e1,e0)
& e2 != op(e1,e0)
& e1 != op(e1,e0)
& e3 != op(e1,e0) )
| op(op(e1,e2),e1) != op(e1,op(e2,e1))
| op(op(e3,e0),e2) != op(e3,op(e0,e2))
| op(op(e2,e1),e2) != op(e2,op(e1,e2))
| op(op(e2,e1),e1) != op(e2,op(e1,e1))
| op(op(e2,e2),e2) != op(e2,op(e2,e2))
| op(op(e2,e0),e0) != op(e2,op(e0,e0))
| op(op(e1,e1),e1) != op(e1,op(e1,e1))
| op(op(e0,e0),e2) != op(e0,op(e0,e2))
| op(op(e2,e3),e1) != op(e2,op(e3,e1))
| op(op(e3,e3),e3) != op(e3,op(e3,e3))
| ( e1 != op(e0,e3)
& e2 != op(e0,e3)
& e3 != op(e0,e3)
& e0 != op(e0,e3) )
| op(op(e0,e0),e1) != op(e0,op(e0,e1))
| op(op(e0,e1),e1) != op(e0,op(e1,e1))
| op(op(e3,e1),e1) != op(e3,op(e1,e1))
| op(op(e1,e1),e3) != op(e1,op(e1,e3))
| op(op(e3,e0),e1) != op(e3,op(e0,e1))
| op(op(e1,e0),e1) != op(e1,op(e0,e1))
| op(op(e0,e1),e0) != op(e0,op(e1,e0))
| e0 != op(e0,unit)
| unit != op(e1,inv(e1))
| ( e3 != op(e2,e1)
& e0 != op(e2,e1)
& e2 != op(e2,e1)
& e1 != op(e2,e1) )
| op(op(e0,e2),e2) != op(e0,op(e2,e2))
| ( e0 != op(e1,e2)
& e2 != op(e1,e2)
& e1 != op(e1,e2)
& e3 != op(e1,e2) )
| unit != op(inv(e0),e0)
| ( e3 != op(e2,e2)
& e1 != op(e2,e2)
& e0 != op(e2,e2)
& e2 != op(e2,e2) )
| unit != op(inv(e3),e3)
| op(op(e1,e2),e0) != op(e1,op(e2,e0))
| ( e1 != op(e0,e0)
& e3 != op(e0,e0)
& e2 != op(e0,e0)
& e0 != op(e0,e0) )
| op(op(e2,e2),e0) != op(e2,op(e2,e0))
| op(op(e1,e0),e3) != op(e1,op(e0,e3))
| ( e2 != op(e0,e1)
& e1 != op(e0,e1)
& e0 != op(e0,e1)
& e3 != op(e0,e1) )
| unit != op(e2,inv(e2))
| op(op(e3,e1),e2) != op(e3,op(e1,e2))
| op(op(e1,e3),e1) != op(e1,op(e3,e1))
| unit != op(inv(e1),e1)
| op(op(e1,e0),e0) != op(e1,op(e0,e0))
| op(op(e3,e0),e0) != op(e3,op(e0,e0))
| op(op(e2,e0),e3) != op(e2,op(e0,e3))
| op(op(e0,e1),e2) != op(e0,op(e1,e2))
| op(op(e0,e0),e0) != op(e0,op(e0,e0))
| unit != op(inv(e2),e2)
| op(op(e0,e2),e3) != op(e0,op(e2,e3))
| ( e0 != inv(e1)
& e2 != inv(e1)
& e3 != inv(e1)
& e1 != inv(e1) )
| op(op(e0,e3),e2) != op(e0,op(e3,e2))
| op(op(e1,e3),e0) != op(e1,op(e3,e0))
| ( ( e0 != op(e1,e1)
| e0 != op(e0,e0)
| e0 != op(e2,e2)
| e0 != op(e3,e3) )
& ( e3 != op(e0,e0)
| e3 != op(e2,e2)
| e3 != op(e1,e1)
| e3 != op(e3,e3) )
& ( e1 != op(e3,e3)
| e1 != op(e1,e1)
| e1 != op(e2,e2)
| e1 != op(e0,e0) )
& ( e2 != op(e1,e1)
| e2 != op(e3,e3)
| e2 != op(e2,e2)
| e2 != op(e0,e0) ) )
| e0 != op(unit,e0)
| op(op(e0,e3),e1) != op(e0,op(e3,e1))
| op(op(e3,e2),e0) != op(e3,op(e2,e0))
| op(op(e3,e1),e3) != op(e3,op(e1,e3))
| op(op(e1,e1),e0) != op(e1,op(e1,e0))
| op(op(e0,e3),e3) != op(e0,op(e3,e3))
| op(op(e2,e2),e3) != op(e2,op(e2,e3))
| op(op(e2,e0),e1) != op(e2,op(e0,e1))
| e1 != op(e1,unit)
| op(op(e3,e2),e3) != op(e3,op(e2,e3))
| unit != op(e0,inv(e0))
| op(op(e1,e0),e2) != op(e1,op(e0,e2))
| op(op(e1,e2),e3) != op(e1,op(e2,e3))
| op(op(e0,e2),e1) != op(e0,op(e2,e1))
| ( e1 != op(e3,e2)
& e3 != op(e3,e2)
& e0 != op(e3,e2)
& e2 != op(e3,e2) )
| op(op(e2,e3),e2) != op(e2,op(e3,e2))
| op(op(e3,e3),e2) != op(e3,op(e3,e2))
| e2 != op(e2,unit)
| e1 != op(unit,e1)
| op(op(e0,e1),e3) != op(e0,op(e1,e3))
| ( e0 != op(e1,e3)
& e3 != op(e1,e3)
& e1 != op(e1,e3)
& e2 != op(e1,e3) )
| op(op(e3,e2),e1) != op(e3,op(e2,e1))
| ( e2 != inv(e2)
& e1 != inv(e2)
& e0 != inv(e2)
& e3 != inv(e2) )
| op(op(e0,e3),e0) != op(e0,op(e3,e0))
| op(op(e3,e2),e2) != op(e3,op(e2,e2))
| op(op(e2,e0),e2) != op(e2,op(e0,e2))
| op(op(e1,e2),e2) != op(e1,op(e2,e2))
| op(op(e3,e3),e1) != op(e3,op(e3,e1))
| ( e0 != op(e3,e3)
& e3 != op(e3,e3)
& e1 != op(e3,e3)
& e2 != op(e3,e3) )
| e2 != op(unit,e2)
| op(op(e3,e0),e3) != op(e3,op(e0,e3))
| unit != op(e3,inv(e3))
| ( e3 != op(e1,e1)
& e1 != op(e1,e1)
& e0 != op(e1,e1)
& e2 != op(e1,e1) )
| ( e0 != op(e3,e0)
& e3 != op(e3,e0)
& e1 != op(e3,e0)
& e2 != op(e3,e0) )
| e3 != op(unit,e3)
| op(op(e0,e0),e3) != op(e0,op(e0,e3))
| ( e1 != op(e2,e0)
& e2 != op(e2,e0)
& e0 != op(e2,e0)
& e3 != op(e2,e0) ) ),
inference(ennf_transformation,[],[f6]) ).
fof(f6,negated_conjecture,
~ ( op(op(e3,e3),e1) = op(e3,op(e3,e1))
& unit = op(inv(e2),e2)
& op(op(e3,e0),e2) = op(e3,op(e0,e2))
& unit = op(e3,inv(e3))
& op(op(e3,e3),e0) = op(e3,op(e3,e0))
& unit = op(inv(e3),e3)
& op(op(e1,e3),e2) = op(e1,op(e3,e2))
& op(op(e1,e0),e0) = op(e1,op(e0,e0))
& ( e0 = inv(e1)
| e1 = inv(e1)
| e2 = inv(e1)
| e3 = inv(e1) )
& op(op(e2,e0),e1) = op(e2,op(e0,e1))
& e0 = op(unit,e0)
& op(op(e3,e3),e2) = op(e3,op(e3,e2))
& op(op(e3,e2),e1) = op(e3,op(e2,e1))
& op(op(e2,e2),e3) = op(e2,op(e2,e3))
& op(op(e2,e3),e1) = op(e2,op(e3,e1))
& op(op(e3,e2),e3) = op(e3,op(e2,e3))
& op(op(e1,e3),e1) = op(e1,op(e3,e1))
& ( e0 = inv(e0)
| e3 = inv(e0)
| e2 = inv(e0)
| e1 = inv(e0) )
& op(op(e0,e3),e1) = op(e0,op(e3,e1))
& e1 = op(e1,unit)
& op(op(e3,e2),e2) = op(e3,op(e2,e2))
& op(op(e3,e1),e3) = op(e3,op(e1,e3))
& op(op(e1,e3),e0) = op(e1,op(e3,e0))
& ( e0 = op(e3,e2)
| e1 = op(e3,e2)
| e3 = op(e3,e2)
| e2 = op(e3,e2) )
& ( e2 = op(e3,e1)
| e3 = op(e3,e1)
| e0 = op(e3,e1)
| e1 = op(e3,e1) )
& op(op(e1,e1),e0) = op(e1,op(e1,e0))
& e0 = op(e0,unit)
& e1 = op(unit,e1)
& e2 = op(e2,unit)
& ( e2 = op(e1,e0)
| e0 = op(e1,e0)
| e3 = op(e1,e0)
| e1 = op(e1,e0) )
& op(op(e0,e0),e0) = op(e0,op(e0,e0))
& ( e3 = op(e3,e0)
| e2 = op(e3,e0)
| e0 = op(e3,e0)
| e1 = op(e3,e0) )
& op(op(e0,e2),e1) = op(e0,op(e2,e1))
& op(op(e3,e0),e1) = op(e3,op(e0,e1))
& op(op(e2,e2),e1) = op(e2,op(e2,e1))
& op(op(e0,e2),e0) = op(e0,op(e2,e0))
& ( e2 = op(e1,e1)
| e3 = op(e1,e1)
| e1 = op(e1,e1)
| e0 = op(e1,e1) )
& op(op(e2,e1),e2) = op(e2,op(e1,e2))
& op(op(e2,e1),e1) = op(e2,op(e1,e1))
& ( e3 = op(e0,e0)
| e0 = op(e0,e0)
| e2 = op(e0,e0)
| e1 = op(e0,e0) )
& op(op(e0,e3),e0) = op(e0,op(e3,e0))
& op(op(e1,e2),e0) = op(e1,op(e2,e0))
& unit = op(e2,inv(e2))
& op(op(e2,e1),e3) = op(e2,op(e1,e3))
& unit = op(e0,inv(e0))
& op(op(e2,e0),e0) = op(e2,op(e0,e0))
& ( e0 = op(e2,e3)
| e3 = op(e2,e3)
| e1 = op(e2,e3)
| e2 = op(e2,e3) )
& op(op(e2,e0),e2) = op(e2,op(e0,e2))
& op(op(e2,e3),e3) = op(e2,op(e3,e3))
& op(op(e3,e1),e1) = op(e3,op(e1,e1))
& e3 = op(e3,unit)
& ( e3 = op(e2,e0)
| e1 = op(e2,e0)
| e2 = op(e2,e0)
| e0 = op(e2,e0) )
& op(op(e3,e1),e0) = op(e3,op(e1,e0))
& ( e3 = op(e3,e3)
| e0 = op(e3,e3)
| e2 = op(e3,e3)
| e1 = op(e3,e3) )
& op(op(e3,e3),e3) = op(e3,op(e3,e3))
& ( e0 = unit
| e2 = unit
| e3 = unit
| e1 = unit )
& unit = op(inv(e0),e0)
& op(op(e3,e2),e0) = op(e3,op(e2,e0))
& ( e3 = inv(e2)
| e0 = inv(e2)
| e2 = inv(e2)
| e1 = inv(e2) )
& op(op(e0,e0),e2) = op(e0,op(e0,e2))
& op(op(e0,e1),e2) = op(e0,op(e1,e2))
& op(op(e0,e0),e3) = op(e0,op(e0,e3))
& op(op(e0,e1),e1) = op(e0,op(e1,e1))
& op(op(e2,e3),e2) = op(e2,op(e3,e2))
& op(op(e2,e2),e2) = op(e2,op(e2,e2))
& op(op(e0,e1),e0) = op(e0,op(e1,e0))
& op(op(e3,e0),e0) = op(e3,op(e0,e0))
& op(op(e1,e0),e3) = op(e1,op(e0,e3))
& op(op(e0,e0),e1) = op(e0,op(e0,e1))
& op(op(e0,e2),e2) = op(e0,op(e2,e2))
& ( e1 = op(e1,e2)
| e3 = op(e1,e2)
| e2 = op(e1,e2)
| e0 = op(e1,e2) )
& op(op(e2,e0),e3) = op(e2,op(e0,e3))
& op(op(e0,e3),e3) = op(e0,op(e3,e3))
& ( e2 = op(e0,e1)
| e0 = op(e0,e1)
| e3 = op(e0,e1)
| e1 = op(e0,e1) )
& ( e0 = op(e1,e3)
| e2 = op(e1,e3)
| e1 = op(e1,e3)
| e3 = op(e1,e3) )
& ( e0 = inv(e3)
| e3 = inv(e3)
| e2 = inv(e3)
| e1 = inv(e3) )
& e2 = op(unit,e2)
& ( e0 = op(e0,e3)
| e2 = op(e0,e3)
| e3 = op(e0,e3)
| e1 = op(e0,e3) )
& op(op(e1,e2),e1) = op(e1,op(e2,e1))
& op(op(e1,e0),e2) = op(e1,op(e0,e2))
& ( e2 = op(e2,e1)
| e0 = op(e2,e1)
| e3 = op(e2,e1)
| e1 = op(e2,e1) )
& op(op(e3,e0),e3) = op(e3,op(e0,e3))
& op(op(e2,e1),e0) = op(e2,op(e1,e0))
& unit = op(inv(e1),e1)
& op(op(e3,e1),e2) = op(e3,op(e1,e2))
& op(op(e0,e2),e3) = op(e0,op(e2,e3))
& op(op(e1,e2),e2) = op(e1,op(e2,e2))
& op(op(e0,e1),e3) = op(e0,op(e1,e3))
& op(op(e1,e3),e3) = op(e1,op(e3,e3))
& op(op(e0,e3),e2) = op(e0,op(e3,e2))
& op(op(e1,e0),e1) = op(e1,op(e0,e1))
& unit = op(e1,inv(e1))
& op(op(e1,e1),e3) = op(e1,op(e1,e3))
& op(op(e1,e1),e1) = op(e1,op(e1,e1))
& op(op(e2,e2),e0) = op(e2,op(e2,e0))
& ( e3 = op(e2,e2)
| e1 = op(e2,e2)
| e0 = op(e2,e2)
| e2 = op(e2,e2) )
& op(op(e1,e2),e3) = op(e1,op(e2,e3))
& ( e3 = op(e0,e2)
| e0 = op(e0,e2)
| e1 = op(e0,e2)
| e2 = op(e0,e2) )
& e3 = op(unit,e3)
& ( ( e1 = op(e0,e0)
& e1 = op(e1,e1)
& e1 = op(e2,e2)
& e1 = op(e3,e3) )
| ( e2 = op(e3,e3)
& e2 = op(e1,e1)
& e2 = op(e0,e0)
& e2 = op(e2,e2) )
| ( e0 = op(e0,e0)
& e0 = op(e2,e2)
& e0 = op(e1,e1)
& e0 = op(e3,e3) )
| ( e3 = op(e3,e3)
& e3 = op(e0,e0)
& e3 = op(e2,e2)
& e3 = op(e1,e1) ) )
& op(op(e1,e1),e2) = op(e1,op(e1,e2))
& op(op(e2,e3),e0) = op(e2,op(e3,e0)) ),
inference(negated_conjecture,[],[f5]) ).
fof(f5,conjecture,
( op(op(e3,e3),e1) = op(e3,op(e3,e1))
& unit = op(inv(e2),e2)
& op(op(e3,e0),e2) = op(e3,op(e0,e2))
& unit = op(e3,inv(e3))
& op(op(e3,e3),e0) = op(e3,op(e3,e0))
& unit = op(inv(e3),e3)
& op(op(e1,e3),e2) = op(e1,op(e3,e2))
& op(op(e1,e0),e0) = op(e1,op(e0,e0))
& ( e0 = inv(e1)
| e1 = inv(e1)
| e2 = inv(e1)
| e3 = inv(e1) )
& op(op(e2,e0),e1) = op(e2,op(e0,e1))
& e0 = op(unit,e0)
& op(op(e3,e3),e2) = op(e3,op(e3,e2))
& op(op(e3,e2),e1) = op(e3,op(e2,e1))
& op(op(e2,e2),e3) = op(e2,op(e2,e3))
& op(op(e2,e3),e1) = op(e2,op(e3,e1))
& op(op(e3,e2),e3) = op(e3,op(e2,e3))
& op(op(e1,e3),e1) = op(e1,op(e3,e1))
& ( e0 = inv(e0)
| e3 = inv(e0)
| e2 = inv(e0)
| e1 = inv(e0) )
& op(op(e0,e3),e1) = op(e0,op(e3,e1))
& e1 = op(e1,unit)
& op(op(e3,e2),e2) = op(e3,op(e2,e2))
& op(op(e3,e1),e3) = op(e3,op(e1,e3))
& op(op(e1,e3),e0) = op(e1,op(e3,e0))
& ( e0 = op(e3,e2)
| e1 = op(e3,e2)
| e3 = op(e3,e2)
| e2 = op(e3,e2) )
& ( e2 = op(e3,e1)
| e3 = op(e3,e1)
| e0 = op(e3,e1)
| e1 = op(e3,e1) )
& op(op(e1,e1),e0) = op(e1,op(e1,e0))
& e0 = op(e0,unit)
& e1 = op(unit,e1)
& e2 = op(e2,unit)
& ( e2 = op(e1,e0)
| e0 = op(e1,e0)
| e3 = op(e1,e0)
| e1 = op(e1,e0) )
& op(op(e0,e0),e0) = op(e0,op(e0,e0))
& ( e3 = op(e3,e0)
| e2 = op(e3,e0)
| e0 = op(e3,e0)
| e1 = op(e3,e0) )
& op(op(e0,e2),e1) = op(e0,op(e2,e1))
& op(op(e3,e0),e1) = op(e3,op(e0,e1))
& op(op(e2,e2),e1) = op(e2,op(e2,e1))
& op(op(e0,e2),e0) = op(e0,op(e2,e0))
& ( e2 = op(e1,e1)
| e3 = op(e1,e1)
| e1 = op(e1,e1)
| e0 = op(e1,e1) )
& op(op(e2,e1),e2) = op(e2,op(e1,e2))
& op(op(e2,e1),e1) = op(e2,op(e1,e1))
& ( e3 = op(e0,e0)
| e0 = op(e0,e0)
| e2 = op(e0,e0)
| e1 = op(e0,e0) )
& op(op(e0,e3),e0) = op(e0,op(e3,e0))
& op(op(e1,e2),e0) = op(e1,op(e2,e0))
& unit = op(e2,inv(e2))
& op(op(e2,e1),e3) = op(e2,op(e1,e3))
& unit = op(e0,inv(e0))
& op(op(e2,e0),e0) = op(e2,op(e0,e0))
& ( e0 = op(e2,e3)
| e3 = op(e2,e3)
| e1 = op(e2,e3)
| e2 = op(e2,e3) )
& op(op(e2,e0),e2) = op(e2,op(e0,e2))
& op(op(e2,e3),e3) = op(e2,op(e3,e3))
& op(op(e3,e1),e1) = op(e3,op(e1,e1))
& e3 = op(e3,unit)
& ( e3 = op(e2,e0)
| e1 = op(e2,e0)
| e2 = op(e2,e0)
| e0 = op(e2,e0) )
& op(op(e3,e1),e0) = op(e3,op(e1,e0))
& ( e3 = op(e3,e3)
| e0 = op(e3,e3)
| e2 = op(e3,e3)
| e1 = op(e3,e3) )
& op(op(e3,e3),e3) = op(e3,op(e3,e3))
& ( e0 = unit
| e2 = unit
| e3 = unit
| e1 = unit )
& unit = op(inv(e0),e0)
& op(op(e3,e2),e0) = op(e3,op(e2,e0))
& ( e3 = inv(e2)
| e0 = inv(e2)
| e2 = inv(e2)
| e1 = inv(e2) )
& op(op(e0,e0),e2) = op(e0,op(e0,e2))
& op(op(e0,e1),e2) = op(e0,op(e1,e2))
& op(op(e0,e0),e3) = op(e0,op(e0,e3))
& op(op(e0,e1),e1) = op(e0,op(e1,e1))
& op(op(e2,e3),e2) = op(e2,op(e3,e2))
& op(op(e2,e2),e2) = op(e2,op(e2,e2))
& op(op(e0,e1),e0) = op(e0,op(e1,e0))
& op(op(e3,e0),e0) = op(e3,op(e0,e0))
& op(op(e1,e0),e3) = op(e1,op(e0,e3))
& op(op(e0,e0),e1) = op(e0,op(e0,e1))
& op(op(e0,e2),e2) = op(e0,op(e2,e2))
& ( e1 = op(e1,e2)
| e3 = op(e1,e2)
| e2 = op(e1,e2)
| e0 = op(e1,e2) )
& op(op(e2,e0),e3) = op(e2,op(e0,e3))
& op(op(e0,e3),e3) = op(e0,op(e3,e3))
& ( e2 = op(e0,e1)
| e0 = op(e0,e1)
| e3 = op(e0,e1)
| e1 = op(e0,e1) )
& ( e0 = op(e1,e3)
| e2 = op(e1,e3)
| e1 = op(e1,e3)
| e3 = op(e1,e3) )
& ( e0 = inv(e3)
| e3 = inv(e3)
| e2 = inv(e3)
| e1 = inv(e3) )
& e2 = op(unit,e2)
& ( e0 = op(e0,e3)
| e2 = op(e0,e3)
| e3 = op(e0,e3)
| e1 = op(e0,e3) )
& op(op(e1,e2),e1) = op(e1,op(e2,e1))
& op(op(e1,e0),e2) = op(e1,op(e0,e2))
& ( e2 = op(e2,e1)
| e0 = op(e2,e1)
| e3 = op(e2,e1)
| e1 = op(e2,e1) )
& op(op(e3,e0),e3) = op(e3,op(e0,e3))
& op(op(e2,e1),e0) = op(e2,op(e1,e0))
& unit = op(inv(e1),e1)
& op(op(e3,e1),e2) = op(e3,op(e1,e2))
& op(op(e0,e2),e3) = op(e0,op(e2,e3))
& op(op(e1,e2),e2) = op(e1,op(e2,e2))
& op(op(e0,e1),e3) = op(e0,op(e1,e3))
& op(op(e1,e3),e3) = op(e1,op(e3,e3))
& op(op(e0,e3),e2) = op(e0,op(e3,e2))
& op(op(e1,e0),e1) = op(e1,op(e0,e1))
& unit = op(e1,inv(e1))
& op(op(e1,e1),e3) = op(e1,op(e1,e3))
& op(op(e1,e1),e1) = op(e1,op(e1,e1))
& op(op(e2,e2),e0) = op(e2,op(e2,e0))
& ( e3 = op(e2,e2)
| e1 = op(e2,e2)
| e0 = op(e2,e2)
| e2 = op(e2,e2) )
& op(op(e1,e2),e3) = op(e1,op(e2,e3))
& ( e3 = op(e0,e2)
| e0 = op(e0,e2)
| e1 = op(e0,e2)
| e2 = op(e0,e2) )
& e3 = op(unit,e3)
& ( ( e1 = op(e0,e0)
& e1 = op(e1,e1)
& e1 = op(e2,e2)
& e1 = op(e3,e3) )
| ( e2 = op(e3,e3)
& e2 = op(e1,e1)
& e2 = op(e0,e0)
& e2 = op(e2,e2) )
| ( e0 = op(e0,e0)
& e0 = op(e2,e2)
& e0 = op(e1,e1)
& e0 = op(e3,e3) )
| ( e3 = op(e3,e3)
& e3 = op(e0,e0)
& e3 = op(e2,e2)
& e3 = op(e1,e1) ) )
& op(op(e1,e1),e2) = op(e1,op(e1,e2))
& op(op(e2,e3),e0) = op(e2,op(e3,e0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).
fof(f970,plain,
( ~ spl21_84
| ~ spl21_164 ),
inference(avatar_split_clause,[],[f120,f967,f570]) ).
fof(f120,plain,
( e1 != op(e3,e2)
| ~ sP6 ),
inference(cnf_transformation,[],[f44]) ).
fof(f44,plain,
( ( e1 != op(e3,e2)
& e3 != op(e3,e2)
& e0 != op(e3,e2)
& e2 != op(e3,e2) )
| ~ sP6 ),
inference(nnf_transformation,[],[f14]) ).
fof(f959,plain,
( ~ spl21_79
| ~ spl21_90 ),
inference(avatar_split_clause,[],[f180,f594,f550]) ).
fof(f180,plain,
( ~ sP15
| e1 != op(e1,unit) ),
inference(definition_unfolding,[],[f82,f165]) ).
fof(f82,plain,
( e1 != op(e1,e0)
| ~ sP15 ),
inference(cnf_transformation,[],[f35]) ).
fof(f35,plain,
( ( e0 != op(e1,e0)
& e2 != op(e1,e0)
& e1 != op(e1,e0)
& e3 != op(e1,e0) )
| ~ sP15 ),
inference(nnf_transformation,[],[f23]) ).
fof(f958,plain,
spl21_110,
inference(avatar_split_clause,[],[f169,f681]) ).
fof(f169,plain,
unit = inv(unit),
inference(definition_unfolding,[],[f58,f165,f165]) ).
fof(f58,plain,
e0 = inv(e0),
inference(cnf_transformation,[],[f4]) ).
fof(f956,plain,
( ~ spl21_16
| ~ spl21_151 ),
inference(avatar_split_clause,[],[f205,f893,f298]) ).
fof(f205,plain,
( op(e3,e3) != unit
| ~ sP3 ),
inference(definition_unfolding,[],[f132,f165]) ).
fof(f132,plain,
( e0 != op(e3,e3)
| ~ sP3 ),
inference(cnf_transformation,[],[f47]) ).
fof(f47,plain,
( ( e0 != op(e3,e3)
& e3 != op(e3,e3)
& e1 != op(e3,e3)
& e2 != op(e3,e3) )
| ~ sP3 ),
inference(nnf_transformation,[],[f11]) ).
fof(f938,plain,
( ~ spl21_159
| ~ spl21_70 ),
inference(avatar_split_clause,[],[f92,f514,f935]) ).
fof(f92,plain,
( ~ sP13
| e3 != op(e2,e1) ),
inference(cnf_transformation,[],[f37]) ).
fof(f37,plain,
( ( e3 != op(e2,e1)
& e0 != op(e2,e1)
& e2 != op(e2,e1)
& e1 != op(e2,e1) )
| ~ sP13 ),
inference(nnf_transformation,[],[f21]) ).
fof(f918,plain,
spl21_5,
inference(avatar_split_clause,[],[f156,f253]) ).
fof(f156,plain,
e1 = op(e2,e3),
inference(cnf_transformation,[],[f2]) ).
fof(f902,plain,
spl21_145,
inference(avatar_split_clause,[],[f150,f858]) ).
fof(f150,plain,
e2 = op(e1,e3),
inference(cnf_transformation,[],[f2]) ).
fof(f896,plain,
( ~ spl21_128
| ~ spl21_151
| ~ spl21_9
| ~ spl21_146
| ~ spl21_98 ),
inference(avatar_split_clause,[],[f198,f626,f864,f270,f893,f770]) ).
fof(f198,plain,
( unit != op(unit,unit)
| op(e1,e1) != unit
| ~ sP7
| op(e3,e3) != unit
| op(e2,e2) != unit ),
inference(definition_unfolding,[],[f116,f165,f165,f165,f165,f165,f165]) ).
fof(f116,plain,
( e0 != op(e1,e1)
| e0 != op(e0,e0)
| e0 != op(e2,e2)
| e0 != op(e3,e3)
| ~ sP7 ),
inference(cnf_transformation,[],[f43]) ).
fof(f43,plain,
( ( ( e0 != op(e1,e1)
| e0 != op(e0,e0)
| e0 != op(e2,e2)
| e0 != op(e3,e3) )
& ( e3 != op(e0,e0)
| e3 != op(e2,e2)
| e3 != op(e1,e1)
| e3 != op(e3,e3) )
& ( e1 != op(e3,e3)
| e1 != op(e1,e1)
| e1 != op(e2,e2)
| e1 != op(e0,e0) )
& ( e2 != op(e1,e1)
| e2 != op(e3,e3)
| e2 != op(e2,e2)
| e2 != op(e0,e0) ) )
| ~ sP7 ),
inference(nnf_transformation,[],[f15]) ).
fof(f891,plain,
( ~ spl21_49
| ~ spl21_60 ),
inference(avatar_split_clause,[],[f208,f474,f430]) ).
fof(f208,plain,
( e3 != op(e3,unit)
| ~ sP1 ),
inference(definition_unfolding,[],[f139,f165]) ).
fof(f139,plain,
( e3 != op(e3,e0)
| ~ sP1 ),
inference(cnf_transformation,[],[f49]) ).
fof(f49,plain,
( ( e0 != op(e3,e0)
& e3 != op(e3,e0)
& e1 != op(e3,e0)
& e2 != op(e3,e0) )
| ~ sP1 ),
inference(nnf_transformation,[],[f9]) ).
fof(f880,plain,
spl21_60,
inference(avatar_split_clause,[],[f220,f474]) ).
fof(f220,plain,
e3 = op(e3,unit),
inference(definition_unfolding,[],[f162,f165]) ).
fof(f162,plain,
e3 = op(e3,e0),
inference(cnf_transformation,[],[f2]) ).
fof(f879,plain,
( ~ spl21_98
| ~ spl21_40 ),
inference(avatar_split_clause,[],[f192,f394,f626]) ).
fof(f192,plain,
( ~ sP10
| unit != op(unit,unit) ),
inference(definition_unfolding,[],[f101,f165,f165,f165]) ).
fof(f101,plain,
( e0 != op(e0,e0)
| ~ sP10 ),
inference(cnf_transformation,[],[f40]) ).
fof(f40,plain,
( ( e1 != op(e0,e0)
& e3 != op(e0,e0)
& e2 != op(e0,e0)
& e0 != op(e0,e0) )
| ~ sP10 ),
inference(nnf_transformation,[],[f18]) ).
fof(f873,plain,
spl21_97,
inference(avatar_split_clause,[],[f219,f622]) ).
fof(f219,plain,
e1 = op(unit,e1),
inference(definition_unfolding,[],[f164,f165]) ).
fof(f164,plain,
e1 = op(e0,e1),
inference(cnf_transformation,[],[f2]) ).
fof(f867,plain,
( ~ spl21_29
| ~ spl21_146 ),
inference(avatar_split_clause,[],[f206,f864,f350]) ).
fof(f206,plain,
( op(e1,e1) != unit
| ~ sP2 ),
inference(definition_unfolding,[],[f134,f165]) ).
fof(f134,plain,
( e0 != op(e1,e1)
| ~ sP2 ),
inference(cnf_transformation,[],[f48]) ).
fof(f48,plain,
( ( e3 != op(e1,e1)
& e1 != op(e1,e1)
& e0 != op(e1,e1)
& e2 != op(e1,e1) )
| ~ sP2 ),
inference(nnf_transformation,[],[f10]) ).
fof(f861,plain,
( ~ spl21_145
| ~ spl21_22 ),
inference(avatar_split_clause,[],[f121,f322,f858]) ).
fof(f121,plain,
( ~ sP5
| e2 != op(e1,e3) ),
inference(cnf_transformation,[],[f45]) ).
fof(f45,plain,
( ( e0 != op(e1,e3)
& e3 != op(e1,e3)
& e1 != op(e1,e3)
& e2 != op(e1,e3) )
| ~ sP5 ),
inference(nnf_transformation,[],[f13]) ).
fof(f856,plain,
~ spl21_3,
inference(avatar_split_clause,[],[f231,f244]) ).
fof(f231,plain,
~ sP17,
inference(trivial_inequality_removal,[],[f176]) ).
fof(f176,plain,
( ~ sP17
| unit != unit ),
inference(definition_unfolding,[],[f76,f165]) ).
fof(f76,plain,
( e0 != unit
| ~ sP17 ),
inference(cnf_transformation,[],[f33]) ).
fof(f33,plain,
( ( e0 != unit
& e3 != unit
& e1 != unit
& e2 != unit )
| ~ sP17 ),
inference(nnf_transformation,[],[f25]) ).
fof(f850,plain,
( ~ spl21_143
| ~ spl21_59 ),
inference(avatar_split_clause,[],[f109,f470,f847]) ).
fof(f109,plain,
( ~ sP8
| e1 != inv(e1) ),
inference(cnf_transformation,[],[f42]) ).
fof(f42,plain,
( ( e0 != inv(e1)
& e2 != inv(e1)
& e3 != inv(e1)
& e1 != inv(e1) )
| ~ sP8 ),
inference(nnf_transformation,[],[f16]) ).
fof(f815,plain,
spl21_128,
inference(avatar_split_clause,[],[f223,f770]) ).
fof(f223,plain,
op(e2,e2) = unit,
inference(definition_unfolding,[],[f158,f165]) ).
fof(f158,plain,
e0 = op(e2,e2),
inference(cnf_transformation,[],[f2]) ).
fof(f814,plain,
spl21_8,
inference(avatar_split_clause,[],[f226,f266]) ).
fof(f226,plain,
e3 = op(unit,e3),
inference(definition_unfolding,[],[f154,f165]) ).
fof(f154,plain,
e3 = op(e0,e3),
inference(cnf_transformation,[],[f2]) ).
fof(f808,plain,
spl21_54,
inference(avatar_split_clause,[],[f228,f450]) ).
fof(f228,plain,
e2 = op(unit,e2),
inference(definition_unfolding,[],[f151,f165]) ).
fof(f151,plain,
e2 = op(e0,e2),
inference(cnf_transformation,[],[f2]) ).
fof(f773,plain,
( ~ spl21_128
| ~ spl21_94 ),
inference(avatar_split_clause,[],[f188,f610,f770]) ).
fof(f188,plain,
( ~ sP11
| op(e2,e2) != unit ),
inference(definition_unfolding,[],[f98,f165]) ).
fof(f98,plain,
( e0 != op(e2,e2)
| ~ sP11 ),
inference(cnf_transformation,[],[f39]) ).
fof(f39,plain,
( ( e3 != op(e2,e2)
& e1 != op(e2,e2)
& e0 != op(e2,e2)
& e2 != op(e2,e2) )
| ~ sP11 ),
inference(nnf_transformation,[],[f19]) ).
fof(f758,plain,
( ~ spl21_19
| ~ spl21_125 ),
inference(avatar_split_clause,[],[f77,f755,f310]) ).
fof(f77,plain,
( e3 != inv(e3)
| ~ sP16 ),
inference(cnf_transformation,[],[f34]) ).
fof(f34,plain,
( ( e1 != inv(e3)
& e2 != inv(e3)
& e0 != inv(e3)
& e3 != inv(e3) )
| ~ sP16 ),
inference(nnf_transformation,[],[f24]) ).
fof(f700,plain,
( ~ spl21_85
| ~ spl21_43 ),
inference(avatar_split_clause,[],[f212,f406,f574]) ).
fof(f212,plain,
( ~ sP0
| e2 != op(e2,unit) ),
inference(definition_unfolding,[],[f143,f165]) ).
fof(f143,plain,
( e2 != op(e2,e0)
| ~ sP0 ),
inference(cnf_transformation,[],[f50]) ).
fof(f50,plain,
( ( e1 != op(e2,e0)
& e2 != op(e2,e0)
& e0 != op(e2,e0)
& e3 != op(e2,e0) )
| ~ sP0 ),
inference(nnf_transformation,[],[f8]) ).
fof(f694,plain,
( ~ spl21_96
| ~ spl21_112 ),
inference(avatar_split_clause,[],[f61,f691,f618]) ).
fof(f61,plain,
( e2 != op(e3,e1)
| ~ sP20 ),
inference(cnf_transformation,[],[f30]) ).
fof(f30,plain,
( ( e1 != op(e3,e1)
& e3 != op(e3,e1)
& e0 != op(e3,e1)
& e2 != op(e3,e1) )
| ~ sP20 ),
inference(nnf_transformation,[],[f28]) ).
fof(f684,plain,
( ~ spl21_110
| ~ spl21_2 ),
inference(avatar_split_clause,[],[f172,f239,f681]) ).
fof(f172,plain,
( ~ sP18
| unit != inv(unit) ),
inference(definition_unfolding,[],[f72,f165,f165]) ).
fof(f72,plain,
( e0 != inv(e0)
| ~ sP18 ),
inference(cnf_transformation,[],[f32]) ).
fof(f32,plain,
( ( e0 != inv(e0)
& e1 != inv(e0)
& e3 != inv(e0)
& e2 != inv(e0) )
| ~ sP18 ),
inference(nnf_transformation,[],[f26]) ).
fof(f679,plain,
spl21_105,
inference(avatar_split_clause,[],[f60,f655]) ).
fof(f60,plain,
e2 = inv(e2),
inference(cnf_transformation,[],[f4]) ).
fof(f678,plain,
( ~ spl21_87
| ~ spl21_109 ),
inference(avatar_split_clause,[],[f93,f675,f582]) ).
fof(f93,plain,
( e3 != op(e1,e2)
| ~ sP12 ),
inference(cnf_transformation,[],[f38]) ).
fof(f38,plain,
( ( e0 != op(e1,e2)
& e2 != op(e1,e2)
& e1 != op(e1,e2)
& e3 != op(e1,e2) )
| ~ sP12 ),
inference(nnf_transformation,[],[f20]) ).
fof(f658,plain,
( ~ spl21_17
| ~ spl21_105 ),
inference(avatar_split_clause,[],[f128,f655,f302]) ).
fof(f128,plain,
( e2 != inv(e2)
| ~ sP4 ),
inference(cnf_transformation,[],[f46]) ).
fof(f46,plain,
( ( e2 != inv(e2)
& e1 != inv(e2)
& e0 != inv(e2)
& e3 != inv(e2) )
| ~ sP4 ),
inference(nnf_transformation,[],[f12]) ).
fof(f260,plain,
( ~ spl21_5
| ~ spl21_6 ),
inference(avatar_split_clause,[],[f68,f257,f253]) ).
fof(f68,plain,
( ~ sP19
| e1 != op(e2,e3) ),
inference(cnf_transformation,[],[f31]) ).
fof(f31,plain,
( ( e1 != op(e2,e3)
& e0 != op(e2,e3)
& e2 != op(e2,e3)
& e3 != op(e2,e3) )
| ~ sP19 ),
inference(nnf_transformation,[],[f27]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11 % Problem : ALG021+1 : TPTP v8.1.0. Released v2.7.0.
% 0.10/0.12 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.33 % Computer : n025.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Mon Aug 29 14:58:59 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.19/0.49 % (1279)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)
% 0.19/0.49 % (1271)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)
% 0.19/0.49 % (1281)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.19/0.49 % (1263)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)
% 0.19/0.50 % (1273)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)
% 0.19/0.50 % (1267)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.19/0.51 % (1257)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)
% 0.19/0.52 % (1285)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.19/0.52 % (1259)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)
% 0.19/0.52 % (1286)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)
% 0.19/0.52 % (1260)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)
% 0.19/0.52 % (1265)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.19/0.52 % (1282)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.19/0.52 % (1265)Instruction limit reached!
% 0.19/0.52 % (1265)------------------------------
% 0.19/0.52 % (1265)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52 % (1265)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52 % (1265)Termination reason: Unknown
% 0.19/0.52 % (1265)Termination phase: Property scanning
% 0.19/0.52
% 0.19/0.52 % (1265)Memory used [KB]: 1023
% 0.19/0.52 % (1265)Time elapsed: 0.002 s
% 0.19/0.52 % (1265)Instructions burned: 3 (million)
% 0.19/0.52 % (1265)------------------------------
% 0.19/0.52 % (1265)------------------------------
% 0.19/0.52 % (1264)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.19/0.53 % (1261)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.53 % (1264)Instruction limit reached!
% 0.19/0.53 % (1264)------------------------------
% 0.19/0.53 % (1264)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53 % (1264)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53 % (1264)Termination reason: Unknown
% 0.19/0.53 % (1264)Termination phase: Property scanning
% 0.19/0.53
% 0.19/0.53 % (1264)Memory used [KB]: 1023
% 0.19/0.53 % (1264)Time elapsed: 0.003 s
% 0.19/0.53 % (1264)Instructions burned: 7 (million)
% 0.19/0.53 % (1264)------------------------------
% 0.19/0.53 % (1264)------------------------------
% 0.19/0.53 % (1266)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)
% 0.19/0.53 % (1258)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)
% 0.19/0.53 % (1262)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)
% 0.19/0.53 % (1277)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)
% 0.19/0.53 % (1272)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)
% 0.19/0.53 % (1283)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)
% 0.19/0.53 % (1278)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.19/0.53 % (1274)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.19/0.53 % (1269)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.19/0.53 % (1284)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)
% 0.19/0.54 % (1270)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.19/0.54 % (1275)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.19/0.54 % (1268)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)
% 0.19/0.54 % (1280)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)
% 0.19/0.54 % (1276)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)
% 0.19/0.55 % (1263)Instruction limit reached!
% 0.19/0.55 % (1263)------------------------------
% 0.19/0.55 % (1263)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.55 % (1263)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.55 % (1263)Termination reason: Unknown
% 0.19/0.55 % (1263)Termination phase: Finite model building preprocessing
% 0.19/0.55
% 0.19/0.55 % (1263)Memory used [KB]: 1663
% 0.19/0.55 % (1263)Time elapsed: 0.038 s
% 0.19/0.55 % (1263)Instructions burned: 52 (million)
% 0.19/0.55 % (1263)------------------------------
% 0.19/0.55 % (1263)------------------------------
% 0.19/0.55 % (1273)First to succeed.
% 0.19/0.57 % (1267)Instruction limit reached!
% 0.19/0.57 % (1267)------------------------------
% 0.19/0.57 % (1267)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.57 % (1271)Instruction limit reached!
% 0.19/0.57 % (1271)------------------------------
% 0.19/0.57 % (1271)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.57 % (1271)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.57 % (1271)Termination reason: Unknown
% 0.19/0.57 % (1271)Termination phase: Saturation
% 0.19/0.57
% 0.19/0.57 % (1271)Memory used [KB]: 6268
% 0.19/0.57 % (1271)Time elapsed: 0.060 s
% 0.19/0.57 % (1271)Instructions burned: 68 (million)
% 0.19/0.57 % (1271)------------------------------
% 0.19/0.57 % (1271)------------------------------
% 0.19/0.58 % (1259)Instruction limit reached!
% 0.19/0.58 % (1259)------------------------------
% 0.19/0.58 % (1259)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.58 % (1259)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.58 % (1259)Termination reason: Unknown
% 0.19/0.58 % (1259)Termination phase: Saturation
% 0.19/0.58
% 0.19/0.58 % (1259)Memory used [KB]: 1151
% 0.19/0.58 % (1259)Time elapsed: 0.019 s
% 0.19/0.58 % (1259)Instructions burned: 38 (million)
% 0.19/0.58 % (1259)------------------------------
% 0.19/0.58 % (1259)------------------------------
% 0.19/0.58 % (1267)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.58 % (1267)Termination reason: Unknown
% 0.19/0.58 % (1267)Termination phase: Saturation
% 0.19/0.58
% 0.19/0.58 % (1267)Memory used [KB]: 6268
% 0.19/0.58 % (1267)Time elapsed: 0.165 s
% 0.19/0.58 % (1267)Instructions burned: 51 (million)
% 0.19/0.58 % (1267)------------------------------
% 0.19/0.58 % (1267)------------------------------
% 1.88/0.59 % (1273)Refutation found. Thanks to Tanya!
% 1.88/0.59 % SZS status Theorem for theBenchmark
% 1.88/0.59 % SZS output start Proof for theBenchmark
% See solution above
% 1.88/0.59 % (1273)------------------------------
% 1.88/0.59 % (1273)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.88/0.59 % (1273)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.88/0.59 % (1273)Termination reason: Refutation
% 1.88/0.59
% 1.88/0.59 % (1273)Memory used [KB]: 6524
% 1.88/0.59 % (1273)Time elapsed: 0.158 s
% 1.88/0.59 % (1273)Instructions burned: 35 (million)
% 1.88/0.59 % (1273)------------------------------
% 1.88/0.59 % (1273)------------------------------
% 1.88/0.59 % (1256)Success in time 0.249 s
%------------------------------------------------------------------------------