TSTP Solution File: ALG021+1 by Vampire---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : ALG021+1 : TPTP v8.1.2. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% Computer : n026.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Sun May 5 04:10:00 EDT 2024
% Result : Theorem 0.56s 0.78s
% Output : Refutation 0.56s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 138
% Syntax : Number of formulae : 679 ( 56 unt; 0 def)
% Number of atoms : 3161 (1503 equ)
% Maximal formula atoms : 180 ( 4 avg)
% Number of connectives : 4403 (1921 ~;1930 |; 439 &)
% ( 113 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 109 ( 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(f1518,plain,
$false,
inference(avatar_sat_refutation,[],[f250,f279,f308,f328,f352,f371,f390,f409,f443,f472,f481,f510,f534,f553,f592,f611,f625,f654,f683,f712,f720,f1013,f1029,f1030,f1031,f1032,f1033,f1034,f1035,f1036,f1037,f1038,f1039,f1040,f1041,f1042,f1043,f1044,f1045,f1046,f1047,f1048,f1054,f1058,f1062,f1067,f1072,f1078,f1085,f1093,f1100,f1108,f1115,f1123,f1130,f1138,f1145,f1153,f1160,f1167,f1173,f1178,f1183,f1188,f1195,f1202,f1209,f1217,f1224,f1232,f1239,f1247,f1254,f1262,f1269,f1276,f1282,f1287,f1292,f1298,f1305,f1313,f1320,f1328,f1334,f1342,f1348,f1356,f1363,f1371,f1378,f1385,f1391,f1396,f1401,f1407,f1414,f1422,f1429,f1437,f1444,f1452,f1459,f1467,f1474,f1481,f1487,f1492,f1496,f1500,f1504,f1508,f1512,f1516]) ).
fof(f1516,plain,
( ~ spl21_24
| spl21_172
| ~ spl21_173 ),
inference(avatar_contradiction_clause,[],[f1515]) ).
fof(f1515,plain,
( $false
| ~ spl21_24
| spl21_172
| ~ spl21_173 ),
inference(subsumption_resolution,[],[f1514,f350]) ).
fof(f350,plain,
( op(e3,e3) = unit
| ~ spl21_24 ),
inference(avatar_component_clause,[],[f349]) ).
fof(f349,plain,
( spl21_24
<=> op(e3,e3) = unit ),
introduced(avatar_definition,[new_symbols(naming,[spl21_24])]) ).
fof(f1514,plain,
( op(e3,e3) != unit
| spl21_172
| ~ spl21_173 ),
inference(forward_demodulation,[],[f1008,f1011]) ).
fof(f1011,plain,
( e3 = inv(e3)
| ~ spl21_173 ),
inference(avatar_component_clause,[],[f1010]) ).
fof(f1010,plain,
( spl21_173
<=> e3 = inv(e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_173])]) ).
fof(f1008,plain,
( unit != op(inv(e3),e3)
| spl21_172 ),
inference(avatar_component_clause,[],[f1006]) ).
fof(f1006,plain,
( spl21_172
<=> unit = op(inv(e3),e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_172])]) ).
fof(f1512,plain,
( ~ spl21_24
| spl21_171
| ~ spl21_173 ),
inference(avatar_contradiction_clause,[],[f1511]) ).
fof(f1511,plain,
( $false
| ~ spl21_24
| spl21_171
| ~ spl21_173 ),
inference(subsumption_resolution,[],[f1510,f350]) ).
fof(f1510,plain,
( op(e3,e3) != unit
| spl21_171
| ~ spl21_173 ),
inference(forward_demodulation,[],[f1004,f1011]) ).
fof(f1004,plain,
( unit != op(e3,inv(e3))
| spl21_171 ),
inference(avatar_component_clause,[],[f1002]) ).
fof(f1002,plain,
( spl21_171
<=> unit = op(e3,inv(e3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_171])]) ).
fof(f1508,plain,
( ~ spl21_3
| ~ spl21_49
| spl21_170 ),
inference(avatar_contradiction_clause,[],[f1507]) ).
fof(f1507,plain,
( $false
| ~ spl21_3
| ~ spl21_49
| spl21_170 ),
inference(subsumption_resolution,[],[f1506,f470]) ).
fof(f470,plain,
( op(e2,e2) = unit
| ~ spl21_49 ),
inference(avatar_component_clause,[],[f469]) ).
fof(f469,plain,
( spl21_49
<=> op(e2,e2) = unit ),
introduced(avatar_definition,[new_symbols(naming,[spl21_49])]) ).
fof(f1506,plain,
( op(e2,e2) != unit
| ~ spl21_3
| spl21_170 ),
inference(forward_demodulation,[],[f1000,f248]) ).
fof(f248,plain,
( e2 = inv(e2)
| ~ spl21_3 ),
inference(avatar_component_clause,[],[f247]) ).
fof(f247,plain,
( spl21_3
<=> e2 = inv(e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_3])]) ).
fof(f1000,plain,
( unit != op(inv(e2),e2)
| spl21_170 ),
inference(avatar_component_clause,[],[f998]) ).
fof(f998,plain,
( spl21_170
<=> unit = op(inv(e2),e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_170])]) ).
fof(f1504,plain,
( ~ spl21_3
| ~ spl21_49
| spl21_169 ),
inference(avatar_contradiction_clause,[],[f1503]) ).
fof(f1503,plain,
( $false
| ~ spl21_3
| ~ spl21_49
| spl21_169 ),
inference(subsumption_resolution,[],[f1502,f470]) ).
fof(f1502,plain,
( op(e2,e2) != unit
| ~ spl21_3
| spl21_169 ),
inference(forward_demodulation,[],[f996,f248]) ).
fof(f996,plain,
( unit != op(e2,inv(e2))
| spl21_169 ),
inference(avatar_component_clause,[],[f994]) ).
fof(f994,plain,
( spl21_169
<=> unit = op(e2,inv(e2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_169])]) ).
fof(f1500,plain,
( ~ spl21_9
| ~ spl21_74
| spl21_168 ),
inference(avatar_contradiction_clause,[],[f1499]) ).
fof(f1499,plain,
( $false
| ~ spl21_9
| ~ spl21_74
| spl21_168 ),
inference(subsumption_resolution,[],[f1498,f590]) ).
fof(f590,plain,
( op(e1,e1) = unit
| ~ spl21_74 ),
inference(avatar_component_clause,[],[f589]) ).
fof(f589,plain,
( spl21_74
<=> op(e1,e1) = unit ),
introduced(avatar_definition,[new_symbols(naming,[spl21_74])]) ).
fof(f1498,plain,
( op(e1,e1) != unit
| ~ spl21_9
| spl21_168 ),
inference(forward_demodulation,[],[f992,f277]) ).
fof(f277,plain,
( e1 = inv(e1)
| ~ spl21_9 ),
inference(avatar_component_clause,[],[f276]) ).
fof(f276,plain,
( spl21_9
<=> e1 = inv(e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_9])]) ).
fof(f992,plain,
( unit != op(inv(e1),e1)
| spl21_168 ),
inference(avatar_component_clause,[],[f990]) ).
fof(f990,plain,
( spl21_168
<=> unit = op(inv(e1),e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_168])]) ).
fof(f1496,plain,
( ~ spl21_9
| ~ spl21_74
| spl21_167 ),
inference(avatar_contradiction_clause,[],[f1495]) ).
fof(f1495,plain,
( $false
| ~ spl21_9
| ~ spl21_74
| spl21_167 ),
inference(subsumption_resolution,[],[f1494,f590]) ).
fof(f1494,plain,
( op(e1,e1) != unit
| ~ spl21_9
| spl21_167 ),
inference(forward_demodulation,[],[f988,f277]) ).
fof(f988,plain,
( unit != op(e1,inv(e1))
| spl21_167 ),
inference(avatar_component_clause,[],[f986]) ).
fof(f986,plain,
( spl21_167
<=> unit = op(e1,inv(e1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_167])]) ).
fof(f1492,plain,
( ~ spl21_15
| ~ spl21_99
| spl21_166 ),
inference(avatar_contradiction_clause,[],[f1491]) ).
fof(f1491,plain,
( $false
| ~ spl21_15
| ~ spl21_99
| spl21_166 ),
inference(subsumption_resolution,[],[f1490,f710]) ).
fof(f710,plain,
( unit = op(unit,unit)
| ~ spl21_99 ),
inference(avatar_component_clause,[],[f709]) ).
fof(f709,plain,
( spl21_99
<=> unit = op(unit,unit) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_99])]) ).
fof(f1490,plain,
( unit != op(unit,unit)
| ~ spl21_15
| spl21_166 ),
inference(forward_demodulation,[],[f984,f306]) ).
fof(f306,plain,
( unit = inv(unit)
| ~ spl21_15 ),
inference(avatar_component_clause,[],[f305]) ).
fof(f305,plain,
( spl21_15
<=> unit = inv(unit) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_15])]) ).
fof(f984,plain,
( unit != op(inv(unit),unit)
| spl21_166 ),
inference(avatar_component_clause,[],[f982]) ).
fof(f982,plain,
( spl21_166
<=> unit = op(inv(unit),unit) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_166])]) ).
fof(f1487,plain,
( ~ spl21_15
| ~ spl21_99
| spl21_165 ),
inference(avatar_contradiction_clause,[],[f1486]) ).
fof(f1486,plain,
( $false
| ~ spl21_15
| ~ spl21_99
| spl21_165 ),
inference(subsumption_resolution,[],[f1485,f710]) ).
fof(f1485,plain,
( unit != op(unit,unit)
| ~ spl21_15
| spl21_165 ),
inference(forward_demodulation,[],[f980,f306]) ).
fof(f980,plain,
( unit != op(unit,inv(unit))
| spl21_165 ),
inference(avatar_component_clause,[],[f978]) ).
fof(f978,plain,
( spl21_165
<=> unit = op(unit,inv(unit)) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_165])]) ).
fof(f1481,plain,
( ~ spl21_24
| ~ spl21_36
| ~ spl21_81
| spl21_164 ),
inference(avatar_contradiction_clause,[],[f1480]) ).
fof(f1480,plain,
( $false
| ~ spl21_24
| ~ spl21_36
| ~ spl21_81
| spl21_164 ),
inference(subsumption_resolution,[],[f1479,f623]) ).
fof(f623,plain,
( e3 = op(unit,e3)
| ~ spl21_81 ),
inference(avatar_component_clause,[],[f622]) ).
fof(f622,plain,
( spl21_81
<=> e3 = op(unit,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_81])]) ).
fof(f1479,plain,
( e3 != op(unit,e3)
| ~ spl21_24
| ~ spl21_36
| spl21_164 ),
inference(forward_demodulation,[],[f1478,f407]) ).
fof(f407,plain,
( e3 = op(e3,unit)
| ~ spl21_36 ),
inference(avatar_component_clause,[],[f406]) ).
fof(f406,plain,
( spl21_36
<=> e3 = op(e3,unit) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_36])]) ).
fof(f1478,plain,
( op(unit,e3) != op(e3,unit)
| ~ spl21_24
| spl21_164 ),
inference(forward_demodulation,[],[f976,f350]) ).
fof(f976,plain,
( op(op(e3,e3),e3) != op(e3,op(e3,e3))
| spl21_164 ),
inference(avatar_component_clause,[],[f974]) ).
fof(f974,plain,
( spl21_164
<=> op(op(e3,e3),e3) = op(e3,op(e3,e3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_164])]) ).
fof(f1474,plain,
( ~ spl21_24
| ~ spl21_28
| ~ spl21_32
| ~ spl21_87
| spl21_163 ),
inference(avatar_contradiction_clause,[],[f1473]) ).
fof(f1473,plain,
( $false
| ~ spl21_24
| ~ spl21_28
| ~ spl21_32
| ~ spl21_87
| spl21_163 ),
inference(subsumption_resolution,[],[f1472,f388]) ).
fof(f388,plain,
( e2 = op(e3,e1)
| ~ spl21_32 ),
inference(avatar_component_clause,[],[f387]) ).
fof(f387,plain,
( spl21_32
<=> e2 = op(e3,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_32])]) ).
fof(f1472,plain,
( e2 != op(e3,e1)
| ~ spl21_24
| ~ spl21_28
| ~ spl21_87
| spl21_163 ),
inference(forward_demodulation,[],[f1471,f652]) ).
fof(f652,plain,
( e2 = op(unit,e2)
| ~ spl21_87 ),
inference(avatar_component_clause,[],[f651]) ).
fof(f651,plain,
( spl21_87
<=> e2 = op(unit,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_87])]) ).
fof(f1471,plain,
( op(e3,e1) != op(unit,e2)
| ~ spl21_24
| ~ spl21_28
| spl21_163 ),
inference(forward_demodulation,[],[f1470,f350]) ).
fof(f1470,plain,
( op(e3,e1) != op(op(e3,e3),e2)
| ~ spl21_28
| spl21_163 ),
inference(forward_demodulation,[],[f972,f369]) ).
fof(f369,plain,
( e1 = op(e3,e2)
| ~ spl21_28 ),
inference(avatar_component_clause,[],[f368]) ).
fof(f368,plain,
( spl21_28
<=> e1 = op(e3,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_28])]) ).
fof(f972,plain,
( op(op(e3,e3),e2) != op(e3,op(e3,e2))
| spl21_163 ),
inference(avatar_component_clause,[],[f970]) ).
fof(f970,plain,
( spl21_163
<=> op(op(e3,e3),e2) = op(e3,op(e3,e2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_163])]) ).
fof(f1467,plain,
( ~ spl21_24
| ~ spl21_28
| ~ spl21_32
| ~ spl21_93
| spl21_162 ),
inference(avatar_contradiction_clause,[],[f1466]) ).
fof(f1466,plain,
( $false
| ~ spl21_24
| ~ spl21_28
| ~ spl21_32
| ~ spl21_93
| spl21_162 ),
inference(subsumption_resolution,[],[f1465,f369]) ).
fof(f1465,plain,
( e1 != op(e3,e2)
| ~ spl21_24
| ~ spl21_32
| ~ spl21_93
| spl21_162 ),
inference(forward_demodulation,[],[f1464,f681]) ).
fof(f681,plain,
( e1 = op(unit,e1)
| ~ spl21_93 ),
inference(avatar_component_clause,[],[f680]) ).
fof(f680,plain,
( spl21_93
<=> e1 = op(unit,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_93])]) ).
fof(f1464,plain,
( op(e3,e2) != op(unit,e1)
| ~ spl21_24
| ~ spl21_32
| spl21_162 ),
inference(forward_demodulation,[],[f1463,f350]) ).
fof(f1463,plain,
( op(e3,e2) != op(op(e3,e3),e1)
| ~ spl21_32
| spl21_162 ),
inference(forward_demodulation,[],[f968,f388]) ).
fof(f968,plain,
( op(op(e3,e3),e1) != op(e3,op(e3,e1))
| spl21_162 ),
inference(avatar_component_clause,[],[f966]) ).
fof(f966,plain,
( spl21_162
<=> op(op(e3,e3),e1) = op(e3,op(e3,e1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_162])]) ).
fof(f1459,plain,
( ~ spl21_24
| ~ spl21_36
| ~ spl21_99
| spl21_161 ),
inference(avatar_contradiction_clause,[],[f1458]) ).
fof(f1458,plain,
( $false
| ~ spl21_24
| ~ spl21_36
| ~ spl21_99
| spl21_161 ),
inference(subsumption_resolution,[],[f1457,f710]) ).
fof(f1457,plain,
( unit != op(unit,unit)
| ~ spl21_24
| ~ spl21_36
| spl21_161 ),
inference(forward_demodulation,[],[f1456,f350]) ).
fof(f1456,plain,
( op(e3,e3) != op(op(e3,e3),unit)
| ~ spl21_36
| spl21_161 ),
inference(forward_demodulation,[],[f964,f407]) ).
fof(f964,plain,
( op(op(e3,e3),unit) != op(e3,op(e3,unit))
| spl21_161 ),
inference(avatar_component_clause,[],[f962]) ).
fof(f962,plain,
( spl21_161
<=> op(op(e3,e3),unit) = op(e3,op(e3,unit)) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_161])]) ).
fof(f1452,plain,
( ~ spl21_28
| ~ spl21_32
| ~ spl21_43
| ~ spl21_62
| spl21_160 ),
inference(avatar_contradiction_clause,[],[f1451]) ).
fof(f1451,plain,
( $false
| ~ spl21_28
| ~ spl21_32
| ~ spl21_43
| ~ spl21_62
| spl21_160 ),
inference(subsumption_resolution,[],[f1450,f532]) ).
fof(f532,plain,
( e2 = op(e1,e3)
| ~ spl21_62 ),
inference(avatar_component_clause,[],[f531]) ).
fof(f531,plain,
( spl21_62
<=> e2 = op(e1,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_62])]) ).
fof(f1450,plain,
( e2 != op(e1,e3)
| ~ spl21_28
| ~ spl21_32
| ~ spl21_43
| spl21_160 ),
inference(forward_demodulation,[],[f1449,f388]) ).
fof(f1449,plain,
( op(e1,e3) != op(e3,e1)
| ~ spl21_28
| ~ spl21_43
| spl21_160 ),
inference(forward_demodulation,[],[f1448,f369]) ).
fof(f1448,plain,
( op(e3,e1) != op(op(e3,e2),e3)
| ~ spl21_43
| spl21_160 ),
inference(forward_demodulation,[],[f960,f441]) ).
fof(f441,plain,
( e1 = op(e2,e3)
| ~ spl21_43 ),
inference(avatar_component_clause,[],[f440]) ).
fof(f440,plain,
( spl21_43
<=> e1 = op(e2,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_43])]) ).
fof(f960,plain,
( op(op(e3,e2),e3) != op(e3,op(e2,e3))
| spl21_160 ),
inference(avatar_component_clause,[],[f958]) ).
fof(f958,plain,
( spl21_160
<=> op(op(e3,e2),e3) = op(e3,op(e2,e3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_160])]) ).
fof(f1444,plain,
( ~ spl21_28
| ~ spl21_36
| ~ spl21_49
| ~ spl21_66
| spl21_159 ),
inference(avatar_contradiction_clause,[],[f1443]) ).
fof(f1443,plain,
( $false
| ~ spl21_28
| ~ spl21_36
| ~ spl21_49
| ~ spl21_66
| spl21_159 ),
inference(subsumption_resolution,[],[f1442,f551]) ).
fof(f551,plain,
( e3 = op(e1,e2)
| ~ spl21_66 ),
inference(avatar_component_clause,[],[f550]) ).
fof(f550,plain,
( spl21_66
<=> e3 = op(e1,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_66])]) ).
fof(f1442,plain,
( e3 != op(e1,e2)
| ~ spl21_28
| ~ spl21_36
| ~ spl21_49
| spl21_159 ),
inference(forward_demodulation,[],[f1441,f369]) ).
fof(f1441,plain,
( e3 != op(op(e3,e2),e2)
| ~ spl21_36
| ~ spl21_49
| spl21_159 ),
inference(forward_demodulation,[],[f1440,f407]) ).
fof(f1440,plain,
( op(op(e3,e2),e2) != op(e3,unit)
| ~ spl21_49
| spl21_159 ),
inference(forward_demodulation,[],[f956,f470]) ).
fof(f956,plain,
( op(op(e3,e2),e2) != op(e3,op(e2,e2))
| spl21_159 ),
inference(avatar_component_clause,[],[f954]) ).
fof(f954,plain,
( spl21_159
<=> op(op(e3,e2),e2) = op(e3,op(e2,e2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_159])]) ).
fof(f1437,plain,
( ~ spl21_24
| ~ spl21_28
| ~ spl21_51
| ~ spl21_74
| spl21_158 ),
inference(avatar_contradiction_clause,[],[f1436]) ).
fof(f1436,plain,
( $false
| ~ spl21_24
| ~ spl21_28
| ~ spl21_51
| ~ spl21_74
| spl21_158 ),
inference(subsumption_resolution,[],[f1435,f590]) ).
fof(f1435,plain,
( op(e1,e1) != unit
| ~ spl21_24
| ~ spl21_28
| ~ spl21_51
| spl21_158 ),
inference(forward_demodulation,[],[f1434,f350]) ).
fof(f1434,plain,
( op(e1,e1) != op(e3,e3)
| ~ spl21_28
| ~ spl21_51
| spl21_158 ),
inference(forward_demodulation,[],[f1433,f369]) ).
fof(f1433,plain,
( op(e3,e3) != op(op(e3,e2),e1)
| ~ spl21_51
| spl21_158 ),
inference(forward_demodulation,[],[f952,f479]) ).
fof(f479,plain,
( e3 = op(e2,e1)
| ~ spl21_51 ),
inference(avatar_component_clause,[],[f478]) ).
fof(f478,plain,
( spl21_51
<=> e3 = op(e2,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_51])]) ).
fof(f952,plain,
( op(op(e3,e2),e1) != op(e3,op(e2,e1))
| spl21_158 ),
inference(avatar_component_clause,[],[f950]) ).
fof(f950,plain,
( spl21_158
<=> op(op(e3,e2),e1) = op(e3,op(e2,e1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_158])]) ).
fof(f1429,plain,
( ~ spl21_28
| ~ spl21_57
| ~ spl21_78
| spl21_157 ),
inference(avatar_contradiction_clause,[],[f1428]) ).
fof(f1428,plain,
( $false
| ~ spl21_28
| ~ spl21_57
| ~ spl21_78
| spl21_157 ),
inference(subsumption_resolution,[],[f1427,f609]) ).
fof(f609,plain,
( e1 = op(e1,unit)
| ~ spl21_78 ),
inference(avatar_component_clause,[],[f608]) ).
fof(f608,plain,
( spl21_78
<=> e1 = op(e1,unit) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_78])]) ).
fof(f1427,plain,
( e1 != op(e1,unit)
| ~ spl21_28
| ~ spl21_57
| spl21_157 ),
inference(forward_demodulation,[],[f1426,f369]) ).
fof(f1426,plain,
( op(e3,e2) != op(op(e3,e2),unit)
| ~ spl21_57
| spl21_157 ),
inference(forward_demodulation,[],[f948,f508]) ).
fof(f508,plain,
( e2 = op(e2,unit)
| ~ spl21_57 ),
inference(avatar_component_clause,[],[f507]) ).
fof(f507,plain,
( spl21_57
<=> e2 = op(e2,unit) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_57])]) ).
fof(f948,plain,
( op(op(e3,e2),unit) != op(e3,op(e2,unit))
| spl21_157 ),
inference(avatar_component_clause,[],[f946]) ).
fof(f946,plain,
( spl21_157
<=> op(op(e3,e2),unit) = op(e3,op(e2,unit)) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_157])]) ).
fof(f1422,plain,
( ~ spl21_28
| ~ spl21_32
| ~ spl21_43
| ~ spl21_62
| spl21_156 ),
inference(avatar_contradiction_clause,[],[f1421]) ).
fof(f1421,plain,
( $false
| ~ spl21_28
| ~ spl21_32
| ~ spl21_43
| ~ spl21_62
| spl21_156 ),
inference(subsumption_resolution,[],[f1420,f441]) ).
fof(f1420,plain,
( e1 != op(e2,e3)
| ~ spl21_28
| ~ spl21_32
| ~ spl21_62
| spl21_156 ),
inference(forward_demodulation,[],[f1419,f369]) ).
fof(f1419,plain,
( op(e2,e3) != op(e3,e2)
| ~ spl21_32
| ~ spl21_62
| spl21_156 ),
inference(forward_demodulation,[],[f1418,f388]) ).
fof(f1418,plain,
( op(e3,e2) != op(op(e3,e1),e3)
| ~ spl21_62
| spl21_156 ),
inference(forward_demodulation,[],[f944,f532]) ).
fof(f944,plain,
( op(op(e3,e1),e3) != op(e3,op(e1,e3))
| spl21_156 ),
inference(avatar_component_clause,[],[f942]) ).
fof(f942,plain,
( spl21_156
<=> op(op(e3,e1),e3) = op(e3,op(e1,e3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_156])]) ).
fof(f1414,plain,
( ~ spl21_24
| ~ spl21_32
| ~ spl21_49
| ~ spl21_66
| spl21_155 ),
inference(avatar_contradiction_clause,[],[f1413]) ).
fof(f1413,plain,
( $false
| ~ spl21_24
| ~ spl21_32
| ~ spl21_49
| ~ spl21_66
| spl21_155 ),
inference(subsumption_resolution,[],[f1412,f470]) ).
fof(f1412,plain,
( op(e2,e2) != unit
| ~ spl21_24
| ~ spl21_32
| ~ spl21_66
| spl21_155 ),
inference(forward_demodulation,[],[f1411,f350]) ).
fof(f1411,plain,
( op(e2,e2) != op(e3,e3)
| ~ spl21_32
| ~ spl21_66
| spl21_155 ),
inference(forward_demodulation,[],[f1410,f388]) ).
fof(f1410,plain,
( op(e3,e3) != op(op(e3,e1),e2)
| ~ spl21_66
| spl21_155 ),
inference(forward_demodulation,[],[f940,f551]) ).
fof(f940,plain,
( op(op(e3,e1),e2) != op(e3,op(e1,e2))
| spl21_155 ),
inference(avatar_component_clause,[],[f938]) ).
fof(f938,plain,
( spl21_155
<=> op(op(e3,e1),e2) = op(e3,op(e1,e2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_155])]) ).
fof(f1407,plain,
( ~ spl21_32
| ~ spl21_36
| ~ spl21_51
| ~ spl21_74
| spl21_154 ),
inference(avatar_contradiction_clause,[],[f1406]) ).
fof(f1406,plain,
( $false
| ~ spl21_32
| ~ spl21_36
| ~ spl21_51
| ~ spl21_74
| spl21_154 ),
inference(subsumption_resolution,[],[f1405,f479]) ).
fof(f1405,plain,
( e3 != op(e2,e1)
| ~ spl21_32
| ~ spl21_36
| ~ spl21_74
| spl21_154 ),
inference(forward_demodulation,[],[f1404,f388]) ).
fof(f1404,plain,
( e3 != op(op(e3,e1),e1)
| ~ spl21_36
| ~ spl21_74
| spl21_154 ),
inference(forward_demodulation,[],[f1403,f407]) ).
fof(f1403,plain,
( op(op(e3,e1),e1) != op(e3,unit)
| ~ spl21_74
| spl21_154 ),
inference(forward_demodulation,[],[f936,f590]) ).
fof(f936,plain,
( op(op(e3,e1),e1) != op(e3,op(e1,e1))
| spl21_154 ),
inference(avatar_component_clause,[],[f934]) ).
fof(f934,plain,
( spl21_154
<=> op(op(e3,e1),e1) = op(e3,op(e1,e1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_154])]) ).
fof(f1401,plain,
( ~ spl21_32
| ~ spl21_57
| ~ spl21_78
| spl21_153 ),
inference(avatar_contradiction_clause,[],[f1400]) ).
fof(f1400,plain,
( $false
| ~ spl21_32
| ~ spl21_57
| ~ spl21_78
| spl21_153 ),
inference(subsumption_resolution,[],[f1399,f508]) ).
fof(f1399,plain,
( e2 != op(e2,unit)
| ~ spl21_32
| ~ spl21_78
| spl21_153 ),
inference(forward_demodulation,[],[f1398,f388]) ).
fof(f1398,plain,
( op(e3,e1) != op(op(e3,e1),unit)
| ~ spl21_78
| spl21_153 ),
inference(forward_demodulation,[],[f932,f609]) ).
fof(f932,plain,
( op(op(e3,e1),unit) != op(e3,op(e1,unit))
| spl21_153 ),
inference(avatar_component_clause,[],[f930]) ).
fof(f930,plain,
( spl21_153
<=> op(op(e3,e1),unit) = op(e3,op(e1,unit)) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_153])]) ).
fof(f1396,plain,
( ~ spl21_36
| ~ spl21_81
| spl21_152 ),
inference(avatar_contradiction_clause,[],[f1395]) ).
fof(f1395,plain,
( $false
| ~ spl21_36
| ~ spl21_81
| spl21_152 ),
inference(trivial_inequality_removal,[],[f1394]) ).
fof(f1394,plain,
( op(e3,e3) != op(e3,e3)
| ~ spl21_36
| ~ spl21_81
| spl21_152 ),
inference(forward_demodulation,[],[f1393,f407]) ).
fof(f1393,plain,
( op(e3,e3) != op(op(e3,unit),e3)
| ~ spl21_81
| spl21_152 ),
inference(forward_demodulation,[],[f928,f623]) ).
fof(f928,plain,
( op(op(e3,unit),e3) != op(e3,op(unit,e3))
| spl21_152 ),
inference(avatar_component_clause,[],[f926]) ).
fof(f926,plain,
( spl21_152
<=> op(op(e3,unit),e3) = op(e3,op(unit,e3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_152])]) ).
fof(f1391,plain,
( ~ spl21_36
| ~ spl21_87
| spl21_151 ),
inference(avatar_contradiction_clause,[],[f1390]) ).
fof(f1390,plain,
( $false
| ~ spl21_36
| ~ spl21_87
| spl21_151 ),
inference(trivial_inequality_removal,[],[f1389]) ).
fof(f1389,plain,
( op(e3,e2) != op(e3,e2)
| ~ spl21_36
| ~ spl21_87
| spl21_151 ),
inference(forward_demodulation,[],[f1388,f407]) ).
fof(f1388,plain,
( op(e3,e2) != op(op(e3,unit),e2)
| ~ spl21_87
| spl21_151 ),
inference(forward_demodulation,[],[f924,f652]) ).
fof(f924,plain,
( op(op(e3,unit),e2) != op(e3,op(unit,e2))
| spl21_151 ),
inference(avatar_component_clause,[],[f922]) ).
fof(f922,plain,
( spl21_151
<=> op(op(e3,unit),e2) = op(e3,op(unit,e2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_151])]) ).
fof(f1385,plain,
( ~ spl21_36
| ~ spl21_93
| spl21_150 ),
inference(avatar_contradiction_clause,[],[f1384]) ).
fof(f1384,plain,
( $false
| ~ spl21_36
| ~ spl21_93
| spl21_150 ),
inference(trivial_inequality_removal,[],[f1383]) ).
fof(f1383,plain,
( op(e3,e1) != op(e3,e1)
| ~ spl21_36
| ~ spl21_93
| spl21_150 ),
inference(forward_demodulation,[],[f1382,f407]) ).
fof(f1382,plain,
( op(e3,e1) != op(op(e3,unit),e1)
| ~ spl21_93
| spl21_150 ),
inference(forward_demodulation,[],[f920,f681]) ).
fof(f920,plain,
( op(op(e3,unit),e1) != op(e3,op(unit,e1))
| spl21_150 ),
inference(avatar_component_clause,[],[f918]) ).
fof(f918,plain,
( spl21_150
<=> op(op(e3,unit),e1) = op(e3,op(unit,e1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_150])]) ).
fof(f1378,plain,
( ~ spl21_36
| ~ spl21_99
| spl21_149 ),
inference(avatar_contradiction_clause,[],[f1377]) ).
fof(f1377,plain,
( $false
| ~ spl21_36
| ~ spl21_99
| spl21_149 ),
inference(subsumption_resolution,[],[f1376,f407]) ).
fof(f1376,plain,
( e3 != op(e3,unit)
| ~ spl21_36
| ~ spl21_99
| spl21_149 ),
inference(forward_demodulation,[],[f1375,f407]) ).
fof(f1375,plain,
( op(e3,unit) != op(op(e3,unit),unit)
| ~ spl21_99
| spl21_149 ),
inference(forward_demodulation,[],[f916,f710]) ).
fof(f916,plain,
( op(op(e3,unit),unit) != op(e3,op(unit,unit))
| spl21_149 ),
inference(avatar_component_clause,[],[f914]) ).
fof(f914,plain,
( spl21_149
<=> op(op(e3,unit),unit) = op(e3,op(unit,unit)) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_149])]) ).
fof(f1371,plain,
( ~ spl21_24
| ~ spl21_43
| ~ spl21_57
| ~ spl21_62
| spl21_148 ),
inference(avatar_contradiction_clause,[],[f1370]) ).
fof(f1370,plain,
( $false
| ~ spl21_24
| ~ spl21_43
| ~ spl21_57
| ~ spl21_62
| spl21_148 ),
inference(subsumption_resolution,[],[f1369,f532]) ).
fof(f1369,plain,
( e2 != op(e1,e3)
| ~ spl21_24
| ~ spl21_43
| ~ spl21_57
| spl21_148 ),
inference(forward_demodulation,[],[f1368,f441]) ).
fof(f1368,plain,
( e2 != op(op(e2,e3),e3)
| ~ spl21_24
| ~ spl21_57
| spl21_148 ),
inference(forward_demodulation,[],[f1367,f508]) ).
fof(f1367,plain,
( op(op(e2,e3),e3) != op(e2,unit)
| ~ spl21_24
| spl21_148 ),
inference(forward_demodulation,[],[f912,f350]) ).
fof(f912,plain,
( op(op(e2,e3),e3) != op(e2,op(e3,e3))
| spl21_148 ),
inference(avatar_component_clause,[],[f910]) ).
fof(f910,plain,
( spl21_148
<=> op(op(e2,e3),e3) = op(e2,op(e3,e3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_148])]) ).
fof(f1363,plain,
( ~ spl21_28
| ~ spl21_43
| ~ spl21_51
| ~ spl21_66
| spl21_147 ),
inference(avatar_contradiction_clause,[],[f1362]) ).
fof(f1362,plain,
( $false
| ~ spl21_28
| ~ spl21_43
| ~ spl21_51
| ~ spl21_66
| spl21_147 ),
inference(subsumption_resolution,[],[f1361,f551]) ).
fof(f1361,plain,
( e3 != op(e1,e2)
| ~ spl21_28
| ~ spl21_43
| ~ spl21_51
| spl21_147 ),
inference(forward_demodulation,[],[f1360,f479]) ).
fof(f1360,plain,
( op(e1,e2) != op(e2,e1)
| ~ spl21_28
| ~ spl21_43
| spl21_147 ),
inference(forward_demodulation,[],[f1359,f441]) ).
fof(f1359,plain,
( op(e2,e1) != op(op(e2,e3),e2)
| ~ spl21_28
| spl21_147 ),
inference(forward_demodulation,[],[f908,f369]) ).
fof(f908,plain,
( op(op(e2,e3),e2) != op(e2,op(e3,e2))
| spl21_147 ),
inference(avatar_component_clause,[],[f906]) ).
fof(f906,plain,
( spl21_147
<=> op(op(e2,e3),e2) = op(e2,op(e3,e2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_147])]) ).
fof(f1356,plain,
( ~ spl21_32
| ~ spl21_43
| ~ spl21_49
| ~ spl21_74
| spl21_146 ),
inference(avatar_contradiction_clause,[],[f1355]) ).
fof(f1355,plain,
( $false
| ~ spl21_32
| ~ spl21_43
| ~ spl21_49
| ~ spl21_74
| spl21_146 ),
inference(subsumption_resolution,[],[f1354,f590]) ).
fof(f1354,plain,
( op(e1,e1) != unit
| ~ spl21_32
| ~ spl21_43
| ~ spl21_49
| spl21_146 ),
inference(forward_demodulation,[],[f1353,f470]) ).
fof(f1353,plain,
( op(e1,e1) != op(e2,e2)
| ~ spl21_32
| ~ spl21_43
| spl21_146 ),
inference(forward_demodulation,[],[f1352,f441]) ).
fof(f1352,plain,
( op(e2,e2) != op(op(e2,e3),e1)
| ~ spl21_32
| spl21_146 ),
inference(forward_demodulation,[],[f904,f388]) ).
fof(f904,plain,
( op(op(e2,e3),e1) != op(e2,op(e3,e1))
| spl21_146 ),
inference(avatar_component_clause,[],[f902]) ).
fof(f902,plain,
( spl21_146
<=> op(op(e2,e3),e1) = op(e2,op(e3,e1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_146])]) ).
fof(f1348,plain,
( ~ spl21_36
| ~ spl21_43
| ~ spl21_78
| spl21_145 ),
inference(avatar_contradiction_clause,[],[f1347]) ).
fof(f1347,plain,
( $false
| ~ spl21_36
| ~ spl21_43
| ~ spl21_78
| spl21_145 ),
inference(subsumption_resolution,[],[f1346,f609]) ).
fof(f1346,plain,
( e1 != op(e1,unit)
| ~ spl21_36
| ~ spl21_43
| spl21_145 ),
inference(forward_demodulation,[],[f1345,f441]) ).
fof(f1345,plain,
( op(e2,e3) != op(op(e2,e3),unit)
| ~ spl21_36
| spl21_145 ),
inference(forward_demodulation,[],[f900,f407]) ).
fof(f900,plain,
( op(op(e2,e3),unit) != op(e2,op(e3,unit))
| spl21_145 ),
inference(avatar_component_clause,[],[f898]) ).
fof(f898,plain,
( spl21_145
<=> op(op(e2,e3),unit) = op(e2,op(e3,unit)) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_145])]) ).
fof(f1342,plain,
( ~ spl21_43
| ~ spl21_49
| ~ spl21_51
| ~ spl21_81
| spl21_144 ),
inference(avatar_contradiction_clause,[],[f1341]) ).
fof(f1341,plain,
( $false
| ~ spl21_43
| ~ spl21_49
| ~ spl21_51
| ~ spl21_81
| spl21_144 ),
inference(subsumption_resolution,[],[f1340,f479]) ).
fof(f1340,plain,
( e3 != op(e2,e1)
| ~ spl21_43
| ~ spl21_49
| ~ spl21_81
| spl21_144 ),
inference(forward_demodulation,[],[f1339,f623]) ).
fof(f1339,plain,
( op(e2,e1) != op(unit,e3)
| ~ spl21_43
| ~ spl21_49
| spl21_144 ),
inference(forward_demodulation,[],[f1338,f470]) ).
fof(f1338,plain,
( op(e2,e1) != op(op(e2,e2),e3)
| ~ spl21_43
| spl21_144 ),
inference(forward_demodulation,[],[f896,f441]) ).
fof(f896,plain,
( op(op(e2,e2),e3) != op(e2,op(e2,e3))
| spl21_144 ),
inference(avatar_component_clause,[],[f894]) ).
fof(f894,plain,
( spl21_144
<=> op(op(e2,e2),e3) = op(e2,op(e2,e3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_144])]) ).
fof(f1334,plain,
( ~ spl21_49
| ~ spl21_57
| ~ spl21_87
| spl21_143 ),
inference(avatar_contradiction_clause,[],[f1333]) ).
fof(f1333,plain,
( $false
| ~ spl21_49
| ~ spl21_57
| ~ spl21_87
| spl21_143 ),
inference(subsumption_resolution,[],[f1332,f652]) ).
fof(f1332,plain,
( e2 != op(unit,e2)
| ~ spl21_49
| ~ spl21_57
| spl21_143 ),
inference(forward_demodulation,[],[f1331,f508]) ).
fof(f1331,plain,
( op(unit,e2) != op(e2,unit)
| ~ spl21_49
| spl21_143 ),
inference(forward_demodulation,[],[f892,f470]) ).
fof(f892,plain,
( op(op(e2,e2),e2) != op(e2,op(e2,e2))
| spl21_143 ),
inference(avatar_component_clause,[],[f890]) ).
fof(f890,plain,
( spl21_143
<=> op(op(e2,e2),e2) = op(e2,op(e2,e2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_143])]) ).
fof(f1328,plain,
( ~ spl21_43
| ~ spl21_49
| ~ spl21_51
| ~ spl21_93
| spl21_142 ),
inference(avatar_contradiction_clause,[],[f1327]) ).
fof(f1327,plain,
( $false
| ~ spl21_43
| ~ spl21_49
| ~ spl21_51
| ~ spl21_93
| spl21_142 ),
inference(subsumption_resolution,[],[f1326,f441]) ).
fof(f1326,plain,
( e1 != op(e2,e3)
| ~ spl21_49
| ~ spl21_51
| ~ spl21_93
| spl21_142 ),
inference(forward_demodulation,[],[f1325,f681]) ).
fof(f1325,plain,
( op(e2,e3) != op(unit,e1)
| ~ spl21_49
| ~ spl21_51
| spl21_142 ),
inference(forward_demodulation,[],[f1324,f470]) ).
fof(f1324,plain,
( op(e2,e3) != op(op(e2,e2),e1)
| ~ spl21_51
| spl21_142 ),
inference(forward_demodulation,[],[f888,f479]) ).
fof(f888,plain,
( op(op(e2,e2),e1) != op(e2,op(e2,e1))
| spl21_142 ),
inference(avatar_component_clause,[],[f886]) ).
fof(f886,plain,
( spl21_142
<=> op(op(e2,e2),e1) = op(e2,op(e2,e1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_142])]) ).
fof(f1320,plain,
( ~ spl21_49
| ~ spl21_57
| ~ spl21_99
| spl21_141 ),
inference(avatar_contradiction_clause,[],[f1319]) ).
fof(f1319,plain,
( $false
| ~ spl21_49
| ~ spl21_57
| ~ spl21_99
| spl21_141 ),
inference(subsumption_resolution,[],[f1318,f710]) ).
fof(f1318,plain,
( unit != op(unit,unit)
| ~ spl21_49
| ~ spl21_57
| spl21_141 ),
inference(forward_demodulation,[],[f1317,f470]) ).
fof(f1317,plain,
( op(e2,e2) != op(op(e2,e2),unit)
| ~ spl21_57
| spl21_141 ),
inference(forward_demodulation,[],[f884,f508]) ).
fof(f884,plain,
( op(op(e2,e2),unit) != op(e2,op(e2,unit))
| spl21_141 ),
inference(avatar_component_clause,[],[f882]) ).
fof(f882,plain,
( spl21_141
<=> op(op(e2,e2),unit) = op(e2,op(e2,unit)) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_141])]) ).
fof(f1313,plain,
( ~ spl21_24
| ~ spl21_49
| ~ spl21_51
| ~ spl21_62
| spl21_140 ),
inference(avatar_contradiction_clause,[],[f1312]) ).
fof(f1312,plain,
( $false
| ~ spl21_24
| ~ spl21_49
| ~ spl21_51
| ~ spl21_62
| spl21_140 ),
inference(subsumption_resolution,[],[f1311,f470]) ).
fof(f1311,plain,
( op(e2,e2) != unit
| ~ spl21_24
| ~ spl21_51
| ~ spl21_62
| spl21_140 ),
inference(forward_demodulation,[],[f1310,f350]) ).
fof(f1310,plain,
( op(e2,e2) != op(e3,e3)
| ~ spl21_51
| ~ spl21_62
| spl21_140 ),
inference(forward_demodulation,[],[f1309,f479]) ).
fof(f1309,plain,
( op(e2,e2) != op(op(e2,e1),e3)
| ~ spl21_62
| spl21_140 ),
inference(forward_demodulation,[],[f880,f532]) ).
fof(f880,plain,
( op(op(e2,e1),e3) != op(e2,op(e1,e3))
| spl21_140 ),
inference(avatar_component_clause,[],[f878]) ).
fof(f878,plain,
( spl21_140
<=> op(op(e2,e1),e3) = op(e2,op(e1,e3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_140])]) ).
fof(f1305,plain,
( ~ spl21_28
| ~ spl21_43
| ~ spl21_51
| ~ spl21_66
| spl21_139 ),
inference(avatar_contradiction_clause,[],[f1304]) ).
fof(f1304,plain,
( $false
| ~ spl21_28
| ~ spl21_43
| ~ spl21_51
| ~ spl21_66
| spl21_139 ),
inference(subsumption_resolution,[],[f1303,f441]) ).
fof(f1303,plain,
( e1 != op(e2,e3)
| ~ spl21_28
| ~ spl21_51
| ~ spl21_66
| spl21_139 ),
inference(forward_demodulation,[],[f1302,f369]) ).
fof(f1302,plain,
( op(e2,e3) != op(e3,e2)
| ~ spl21_51
| ~ spl21_66
| spl21_139 ),
inference(forward_demodulation,[],[f1301,f479]) ).
fof(f1301,plain,
( op(e2,e3) != op(op(e2,e1),e2)
| ~ spl21_66
| spl21_139 ),
inference(forward_demodulation,[],[f876,f551]) ).
fof(f876,plain,
( op(op(e2,e1),e2) != op(e2,op(e1,e2))
| spl21_139 ),
inference(avatar_component_clause,[],[f874]) ).
fof(f874,plain,
( spl21_139
<=> op(op(e2,e1),e2) = op(e2,op(e1,e2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_139])]) ).
fof(f1298,plain,
( ~ spl21_32
| ~ spl21_51
| ~ spl21_57
| ~ spl21_74
| spl21_138 ),
inference(avatar_contradiction_clause,[],[f1297]) ).
fof(f1297,plain,
( $false
| ~ spl21_32
| ~ spl21_51
| ~ spl21_57
| ~ spl21_74
| spl21_138 ),
inference(subsumption_resolution,[],[f1296,f388]) ).
fof(f1296,plain,
( e2 != op(e3,e1)
| ~ spl21_51
| ~ spl21_57
| ~ spl21_74
| spl21_138 ),
inference(forward_demodulation,[],[f1295,f479]) ).
fof(f1295,plain,
( e2 != op(op(e2,e1),e1)
| ~ spl21_57
| ~ spl21_74
| spl21_138 ),
inference(forward_demodulation,[],[f1294,f508]) ).
fof(f1294,plain,
( op(op(e2,e1),e1) != op(e2,unit)
| ~ spl21_74
| spl21_138 ),
inference(forward_demodulation,[],[f872,f590]) ).
fof(f872,plain,
( op(op(e2,e1),e1) != op(e2,op(e1,e1))
| spl21_138 ),
inference(avatar_component_clause,[],[f870]) ).
fof(f870,plain,
( spl21_138
<=> op(op(e2,e1),e1) = op(e2,op(e1,e1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_138])]) ).
fof(f1292,plain,
( ~ spl21_36
| ~ spl21_51
| ~ spl21_78
| spl21_137 ),
inference(avatar_contradiction_clause,[],[f1291]) ).
fof(f1291,plain,
( $false
| ~ spl21_36
| ~ spl21_51
| ~ spl21_78
| spl21_137 ),
inference(subsumption_resolution,[],[f1290,f407]) ).
fof(f1290,plain,
( e3 != op(e3,unit)
| ~ spl21_51
| ~ spl21_78
| spl21_137 ),
inference(forward_demodulation,[],[f1289,f479]) ).
fof(f1289,plain,
( op(e2,e1) != op(op(e2,e1),unit)
| ~ spl21_78
| spl21_137 ),
inference(forward_demodulation,[],[f868,f609]) ).
fof(f868,plain,
( op(op(e2,e1),unit) != op(e2,op(e1,unit))
| spl21_137 ),
inference(avatar_component_clause,[],[f866]) ).
fof(f866,plain,
( spl21_137
<=> op(op(e2,e1),unit) = op(e2,op(e1,unit)) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_137])]) ).
fof(f1287,plain,
( ~ spl21_57
| ~ spl21_81
| spl21_136 ),
inference(avatar_contradiction_clause,[],[f1286]) ).
fof(f1286,plain,
( $false
| ~ spl21_57
| ~ spl21_81
| spl21_136 ),
inference(trivial_inequality_removal,[],[f1285]) ).
fof(f1285,plain,
( op(e2,e3) != op(e2,e3)
| ~ spl21_57
| ~ spl21_81
| spl21_136 ),
inference(forward_demodulation,[],[f1284,f508]) ).
fof(f1284,plain,
( op(e2,e3) != op(op(e2,unit),e3)
| ~ spl21_81
| spl21_136 ),
inference(forward_demodulation,[],[f864,f623]) ).
fof(f864,plain,
( op(op(e2,unit),e3) != op(e2,op(unit,e3))
| spl21_136 ),
inference(avatar_component_clause,[],[f862]) ).
fof(f862,plain,
( spl21_136
<=> op(op(e2,unit),e3) = op(e2,op(unit,e3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_136])]) ).
fof(f1282,plain,
( ~ spl21_57
| ~ spl21_87
| spl21_135 ),
inference(avatar_contradiction_clause,[],[f1281]) ).
fof(f1281,plain,
( $false
| ~ spl21_57
| ~ spl21_87
| spl21_135 ),
inference(trivial_inequality_removal,[],[f1280]) ).
fof(f1280,plain,
( op(e2,e2) != op(e2,e2)
| ~ spl21_57
| ~ spl21_87
| spl21_135 ),
inference(forward_demodulation,[],[f1279,f508]) ).
fof(f1279,plain,
( op(e2,e2) != op(op(e2,unit),e2)
| ~ spl21_87
| spl21_135 ),
inference(forward_demodulation,[],[f860,f652]) ).
fof(f860,plain,
( op(op(e2,unit),e2) != op(e2,op(unit,e2))
| spl21_135 ),
inference(avatar_component_clause,[],[f858]) ).
fof(f858,plain,
( spl21_135
<=> op(op(e2,unit),e2) = op(e2,op(unit,e2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_135])]) ).
fof(f1276,plain,
( ~ spl21_57
| ~ spl21_93
| spl21_134 ),
inference(avatar_contradiction_clause,[],[f1275]) ).
fof(f1275,plain,
( $false
| ~ spl21_57
| ~ spl21_93
| spl21_134 ),
inference(trivial_inequality_removal,[],[f1274]) ).
fof(f1274,plain,
( op(e2,e1) != op(e2,e1)
| ~ spl21_57
| ~ spl21_93
| spl21_134 ),
inference(forward_demodulation,[],[f1273,f508]) ).
fof(f1273,plain,
( op(e2,e1) != op(op(e2,unit),e1)
| ~ spl21_93
| spl21_134 ),
inference(forward_demodulation,[],[f856,f681]) ).
fof(f856,plain,
( op(op(e2,unit),e1) != op(e2,op(unit,e1))
| spl21_134 ),
inference(avatar_component_clause,[],[f854]) ).
fof(f854,plain,
( spl21_134
<=> op(op(e2,unit),e1) = op(e2,op(unit,e1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_134])]) ).
fof(f1269,plain,
( ~ spl21_57
| ~ spl21_99
| spl21_133 ),
inference(avatar_contradiction_clause,[],[f1268]) ).
fof(f1268,plain,
( $false
| ~ spl21_57
| ~ spl21_99
| spl21_133 ),
inference(subsumption_resolution,[],[f1267,f508]) ).
fof(f1267,plain,
( e2 != op(e2,unit)
| ~ spl21_57
| ~ spl21_99
| spl21_133 ),
inference(forward_demodulation,[],[f1266,f508]) ).
fof(f1266,plain,
( op(e2,unit) != op(op(e2,unit),unit)
| ~ spl21_99
| spl21_133 ),
inference(forward_demodulation,[],[f852,f710]) ).
fof(f852,plain,
( op(op(e2,unit),unit) != op(e2,op(unit,unit))
| spl21_133 ),
inference(avatar_component_clause,[],[f850]) ).
fof(f850,plain,
( spl21_133
<=> op(op(e2,unit),unit) = op(e2,op(unit,unit)) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_133])]) ).
fof(f1262,plain,
( ~ spl21_24
| ~ spl21_43
| ~ spl21_62
| ~ spl21_78
| spl21_132 ),
inference(avatar_contradiction_clause,[],[f1261]) ).
fof(f1261,plain,
( $false
| ~ spl21_24
| ~ spl21_43
| ~ spl21_62
| ~ spl21_78
| spl21_132 ),
inference(subsumption_resolution,[],[f1260,f441]) ).
fof(f1260,plain,
( e1 != op(e2,e3)
| ~ spl21_24
| ~ spl21_62
| ~ spl21_78
| spl21_132 ),
inference(forward_demodulation,[],[f1259,f532]) ).
fof(f1259,plain,
( e1 != op(op(e1,e3),e3)
| ~ spl21_24
| ~ spl21_78
| spl21_132 ),
inference(forward_demodulation,[],[f1258,f609]) ).
fof(f1258,plain,
( op(op(e1,e3),e3) != op(e1,unit)
| ~ spl21_24
| spl21_132 ),
inference(forward_demodulation,[],[f848,f350]) ).
fof(f848,plain,
( op(op(e1,e3),e3) != op(e1,op(e3,e3))
| spl21_132 ),
inference(avatar_component_clause,[],[f846]) ).
fof(f846,plain,
( spl21_132
<=> op(op(e1,e3),e3) = op(e1,op(e3,e3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_132])]) ).
fof(f1254,plain,
( ~ spl21_28
| ~ spl21_49
| ~ spl21_62
| ~ spl21_74
| spl21_131 ),
inference(avatar_contradiction_clause,[],[f1253]) ).
fof(f1253,plain,
( $false
| ~ spl21_28
| ~ spl21_49
| ~ spl21_62
| ~ spl21_74
| spl21_131 ),
inference(subsumption_resolution,[],[f1252,f590]) ).
fof(f1252,plain,
( op(e1,e1) != unit
| ~ spl21_28
| ~ spl21_49
| ~ spl21_62
| spl21_131 ),
inference(forward_demodulation,[],[f1251,f470]) ).
fof(f1251,plain,
( op(e1,e1) != op(e2,e2)
| ~ spl21_28
| ~ spl21_62
| spl21_131 ),
inference(forward_demodulation,[],[f1250,f532]) ).
fof(f1250,plain,
( op(e1,e1) != op(op(e1,e3),e2)
| ~ spl21_28
| spl21_131 ),
inference(forward_demodulation,[],[f844,f369]) ).
fof(f844,plain,
( op(op(e1,e3),e2) != op(e1,op(e3,e2))
| spl21_131 ),
inference(avatar_component_clause,[],[f842]) ).
fof(f842,plain,
( spl21_131
<=> op(op(e1,e3),e2) = op(e1,op(e3,e2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_131])]) ).
fof(f1247,plain,
( ~ spl21_32
| ~ spl21_51
| ~ spl21_62
| ~ spl21_66
| spl21_130 ),
inference(avatar_contradiction_clause,[],[f1246]) ).
fof(f1246,plain,
( $false
| ~ spl21_32
| ~ spl21_51
| ~ spl21_62
| ~ spl21_66
| spl21_130 ),
inference(subsumption_resolution,[],[f1245,f551]) ).
fof(f1245,plain,
( e3 != op(e1,e2)
| ~ spl21_32
| ~ spl21_51
| ~ spl21_62
| spl21_130 ),
inference(forward_demodulation,[],[f1244,f479]) ).
fof(f1244,plain,
( op(e1,e2) != op(e2,e1)
| ~ spl21_32
| ~ spl21_62
| spl21_130 ),
inference(forward_demodulation,[],[f1243,f532]) ).
fof(f1243,plain,
( op(e1,e2) != op(op(e1,e3),e1)
| ~ spl21_32
| spl21_130 ),
inference(forward_demodulation,[],[f840,f388]) ).
fof(f840,plain,
( op(op(e1,e3),e1) != op(e1,op(e3,e1))
| spl21_130 ),
inference(avatar_component_clause,[],[f838]) ).
fof(f838,plain,
( spl21_130
<=> op(op(e1,e3),e1) = op(e1,op(e3,e1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_130])]) ).
fof(f1239,plain,
( ~ spl21_36
| ~ spl21_57
| ~ spl21_62
| spl21_129 ),
inference(avatar_contradiction_clause,[],[f1238]) ).
fof(f1238,plain,
( $false
| ~ spl21_36
| ~ spl21_57
| ~ spl21_62
| spl21_129 ),
inference(subsumption_resolution,[],[f1237,f508]) ).
fof(f1237,plain,
( e2 != op(e2,unit)
| ~ spl21_36
| ~ spl21_62
| spl21_129 ),
inference(forward_demodulation,[],[f1236,f532]) ).
fof(f1236,plain,
( op(e1,e3) != op(op(e1,e3),unit)
| ~ spl21_36
| spl21_129 ),
inference(forward_demodulation,[],[f836,f407]) ).
fof(f836,plain,
( op(op(e1,e3),unit) != op(e1,op(e3,unit))
| spl21_129 ),
inference(avatar_component_clause,[],[f834]) ).
fof(f834,plain,
( spl21_129
<=> op(op(e1,e3),unit) = op(e1,op(e3,unit)) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_129])]) ).
fof(f1232,plain,
( ~ spl21_24
| ~ spl21_43
| ~ spl21_66
| ~ spl21_74
| spl21_128 ),
inference(avatar_contradiction_clause,[],[f1231]) ).
fof(f1231,plain,
( $false
| ~ spl21_24
| ~ spl21_43
| ~ spl21_66
| ~ spl21_74
| spl21_128 ),
inference(subsumption_resolution,[],[f1230,f590]) ).
fof(f1230,plain,
( op(e1,e1) != unit
| ~ spl21_24
| ~ spl21_43
| ~ spl21_66
| spl21_128 ),
inference(forward_demodulation,[],[f1229,f350]) ).
fof(f1229,plain,
( op(e1,e1) != op(e3,e3)
| ~ spl21_43
| ~ spl21_66
| spl21_128 ),
inference(forward_demodulation,[],[f1228,f551]) ).
fof(f1228,plain,
( op(e1,e1) != op(op(e1,e2),e3)
| ~ spl21_43
| spl21_128 ),
inference(forward_demodulation,[],[f832,f441]) ).
fof(f832,plain,
( op(op(e1,e2),e3) != op(e1,op(e2,e3))
| spl21_128 ),
inference(avatar_component_clause,[],[f830]) ).
fof(f830,plain,
( spl21_128
<=> op(op(e1,e2),e3) = op(e1,op(e2,e3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_128])]) ).
fof(f1224,plain,
( ~ spl21_28
| ~ spl21_49
| ~ spl21_66
| ~ spl21_78
| spl21_127 ),
inference(avatar_contradiction_clause,[],[f1223]) ).
fof(f1223,plain,
( $false
| ~ spl21_28
| ~ spl21_49
| ~ spl21_66
| ~ spl21_78
| spl21_127 ),
inference(subsumption_resolution,[],[f1222,f369]) ).
fof(f1222,plain,
( e1 != op(e3,e2)
| ~ spl21_49
| ~ spl21_66
| ~ spl21_78
| spl21_127 ),
inference(forward_demodulation,[],[f1221,f551]) ).
fof(f1221,plain,
( e1 != op(op(e1,e2),e2)
| ~ spl21_49
| ~ spl21_78
| spl21_127 ),
inference(forward_demodulation,[],[f1220,f609]) ).
fof(f1220,plain,
( op(op(e1,e2),e2) != op(e1,unit)
| ~ spl21_49
| spl21_127 ),
inference(forward_demodulation,[],[f828,f470]) ).
fof(f828,plain,
( op(op(e1,e2),e2) != op(e1,op(e2,e2))
| spl21_127 ),
inference(avatar_component_clause,[],[f826]) ).
fof(f826,plain,
( spl21_127
<=> op(op(e1,e2),e2) = op(e1,op(e2,e2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_127])]) ).
fof(f1217,plain,
( ~ spl21_32
| ~ spl21_51
| ~ spl21_62
| ~ spl21_66
| spl21_126 ),
inference(avatar_contradiction_clause,[],[f1216]) ).
fof(f1216,plain,
( $false
| ~ spl21_32
| ~ spl21_51
| ~ spl21_62
| ~ spl21_66
| spl21_126 ),
inference(subsumption_resolution,[],[f1215,f532]) ).
fof(f1215,plain,
( e2 != op(e1,e3)
| ~ spl21_32
| ~ spl21_51
| ~ spl21_66
| spl21_126 ),
inference(forward_demodulation,[],[f1214,f388]) ).
fof(f1214,plain,
( op(e1,e3) != op(e3,e1)
| ~ spl21_51
| ~ spl21_66
| spl21_126 ),
inference(forward_demodulation,[],[f1213,f551]) ).
fof(f1213,plain,
( op(e1,e3) != op(op(e1,e2),e1)
| ~ spl21_51
| spl21_126 ),
inference(forward_demodulation,[],[f824,f479]) ).
fof(f824,plain,
( op(op(e1,e2),e1) != op(e1,op(e2,e1))
| spl21_126 ),
inference(avatar_component_clause,[],[f822]) ).
fof(f822,plain,
( spl21_126
<=> op(op(e1,e2),e1) = op(e1,op(e2,e1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_126])]) ).
fof(f1209,plain,
( ~ spl21_36
| ~ spl21_57
| ~ spl21_66
| spl21_125 ),
inference(avatar_contradiction_clause,[],[f1208]) ).
fof(f1208,plain,
( $false
| ~ spl21_36
| ~ spl21_57
| ~ spl21_66
| spl21_125 ),
inference(subsumption_resolution,[],[f1207,f407]) ).
fof(f1207,plain,
( e3 != op(e3,unit)
| ~ spl21_57
| ~ spl21_66
| spl21_125 ),
inference(forward_demodulation,[],[f1206,f551]) ).
fof(f1206,plain,
( op(e1,e2) != op(op(e1,e2),unit)
| ~ spl21_57
| spl21_125 ),
inference(forward_demodulation,[],[f820,f508]) ).
fof(f820,plain,
( op(op(e1,e2),unit) != op(e1,op(e2,unit))
| spl21_125 ),
inference(avatar_component_clause,[],[f818]) ).
fof(f818,plain,
( spl21_125
<=> op(op(e1,e2),unit) = op(e1,op(e2,unit)) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_125])]) ).
fof(f1202,plain,
( ~ spl21_62
| ~ spl21_66
| ~ spl21_74
| ~ spl21_81
| spl21_124 ),
inference(avatar_contradiction_clause,[],[f1201]) ).
fof(f1201,plain,
( $false
| ~ spl21_62
| ~ spl21_66
| ~ spl21_74
| ~ spl21_81
| spl21_124 ),
inference(subsumption_resolution,[],[f1200,f551]) ).
fof(f1200,plain,
( e3 != op(e1,e2)
| ~ spl21_62
| ~ spl21_74
| ~ spl21_81
| spl21_124 ),
inference(forward_demodulation,[],[f1199,f623]) ).
fof(f1199,plain,
( op(e1,e2) != op(unit,e3)
| ~ spl21_62
| ~ spl21_74
| spl21_124 ),
inference(forward_demodulation,[],[f1198,f590]) ).
fof(f1198,plain,
( op(e1,e2) != op(op(e1,e1),e3)
| ~ spl21_62
| spl21_124 ),
inference(forward_demodulation,[],[f816,f532]) ).
fof(f816,plain,
( op(op(e1,e1),e3) != op(e1,op(e1,e3))
| spl21_124 ),
inference(avatar_component_clause,[],[f814]) ).
fof(f814,plain,
( spl21_124
<=> op(op(e1,e1),e3) = op(e1,op(e1,e3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_124])]) ).
fof(f1195,plain,
( ~ spl21_62
| ~ spl21_66
| ~ spl21_74
| ~ spl21_87
| spl21_123 ),
inference(avatar_contradiction_clause,[],[f1194]) ).
fof(f1194,plain,
( $false
| ~ spl21_62
| ~ spl21_66
| ~ spl21_74
| ~ spl21_87
| spl21_123 ),
inference(subsumption_resolution,[],[f1193,f532]) ).
fof(f1193,plain,
( e2 != op(e1,e3)
| ~ spl21_66
| ~ spl21_74
| ~ spl21_87
| spl21_123 ),
inference(forward_demodulation,[],[f1192,f652]) ).
fof(f1192,plain,
( op(e1,e3) != op(unit,e2)
| ~ spl21_66
| ~ spl21_74
| spl21_123 ),
inference(forward_demodulation,[],[f1191,f590]) ).
fof(f1191,plain,
( op(e1,e3) != op(op(e1,e1),e2)
| ~ spl21_66
| spl21_123 ),
inference(forward_demodulation,[],[f812,f551]) ).
fof(f812,plain,
( op(op(e1,e1),e2) != op(e1,op(e1,e2))
| spl21_123 ),
inference(avatar_component_clause,[],[f810]) ).
fof(f810,plain,
( spl21_123
<=> op(op(e1,e1),e2) = op(e1,op(e1,e2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_123])]) ).
fof(f1188,plain,
( ~ spl21_74
| ~ spl21_78
| ~ spl21_93
| spl21_122 ),
inference(avatar_contradiction_clause,[],[f1187]) ).
fof(f1187,plain,
( $false
| ~ spl21_74
| ~ spl21_78
| ~ spl21_93
| spl21_122 ),
inference(subsumption_resolution,[],[f1186,f681]) ).
fof(f1186,plain,
( e1 != op(unit,e1)
| ~ spl21_74
| ~ spl21_78
| spl21_122 ),
inference(forward_demodulation,[],[f1185,f609]) ).
fof(f1185,plain,
( op(unit,e1) != op(e1,unit)
| ~ spl21_74
| spl21_122 ),
inference(forward_demodulation,[],[f808,f590]) ).
fof(f808,plain,
( op(op(e1,e1),e1) != op(e1,op(e1,e1))
| spl21_122 ),
inference(avatar_component_clause,[],[f806]) ).
fof(f806,plain,
( spl21_122
<=> op(op(e1,e1),e1) = op(e1,op(e1,e1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_122])]) ).
fof(f1183,plain,
( ~ spl21_74
| ~ spl21_78
| ~ spl21_99
| spl21_121 ),
inference(avatar_contradiction_clause,[],[f1182]) ).
fof(f1182,plain,
( $false
| ~ spl21_74
| ~ spl21_78
| ~ spl21_99
| spl21_121 ),
inference(subsumption_resolution,[],[f1181,f710]) ).
fof(f1181,plain,
( unit != op(unit,unit)
| ~ spl21_74
| ~ spl21_78
| spl21_121 ),
inference(forward_demodulation,[],[f1180,f590]) ).
fof(f1180,plain,
( op(e1,e1) != op(op(e1,e1),unit)
| ~ spl21_78
| spl21_121 ),
inference(forward_demodulation,[],[f804,f609]) ).
fof(f804,plain,
( op(op(e1,e1),unit) != op(e1,op(e1,unit))
| spl21_121 ),
inference(avatar_component_clause,[],[f802]) ).
fof(f802,plain,
( spl21_121
<=> op(op(e1,e1),unit) = op(e1,op(e1,unit)) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_121])]) ).
fof(f1178,plain,
( ~ spl21_78
| ~ spl21_81
| spl21_120 ),
inference(avatar_contradiction_clause,[],[f1177]) ).
fof(f1177,plain,
( $false
| ~ spl21_78
| ~ spl21_81
| spl21_120 ),
inference(trivial_inequality_removal,[],[f1176]) ).
fof(f1176,plain,
( op(e1,e3) != op(e1,e3)
| ~ spl21_78
| ~ spl21_81
| spl21_120 ),
inference(forward_demodulation,[],[f1175,f609]) ).
fof(f1175,plain,
( op(e1,e3) != op(op(e1,unit),e3)
| ~ spl21_81
| spl21_120 ),
inference(forward_demodulation,[],[f800,f623]) ).
fof(f800,plain,
( op(op(e1,unit),e3) != op(e1,op(unit,e3))
| spl21_120 ),
inference(avatar_component_clause,[],[f798]) ).
fof(f798,plain,
( spl21_120
<=> op(op(e1,unit),e3) = op(e1,op(unit,e3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_120])]) ).
fof(f1173,plain,
( ~ spl21_78
| ~ spl21_87
| spl21_119 ),
inference(avatar_contradiction_clause,[],[f1172]) ).
fof(f1172,plain,
( $false
| ~ spl21_78
| ~ spl21_87
| spl21_119 ),
inference(trivial_inequality_removal,[],[f1171]) ).
fof(f1171,plain,
( op(e1,e2) != op(e1,e2)
| ~ spl21_78
| ~ spl21_87
| spl21_119 ),
inference(forward_demodulation,[],[f1170,f609]) ).
fof(f1170,plain,
( op(e1,e2) != op(op(e1,unit),e2)
| ~ spl21_87
| spl21_119 ),
inference(forward_demodulation,[],[f796,f652]) ).
fof(f796,plain,
( op(op(e1,unit),e2) != op(e1,op(unit,e2))
| spl21_119 ),
inference(avatar_component_clause,[],[f794]) ).
fof(f794,plain,
( spl21_119
<=> op(op(e1,unit),e2) = op(e1,op(unit,e2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_119])]) ).
fof(f1167,plain,
( ~ spl21_78
| ~ spl21_93
| spl21_118 ),
inference(avatar_contradiction_clause,[],[f1166]) ).
fof(f1166,plain,
( $false
| ~ spl21_78
| ~ spl21_93
| spl21_118 ),
inference(trivial_inequality_removal,[],[f1165]) ).
fof(f1165,plain,
( op(e1,e1) != op(e1,e1)
| ~ spl21_78
| ~ spl21_93
| spl21_118 ),
inference(forward_demodulation,[],[f1164,f609]) ).
fof(f1164,plain,
( op(e1,e1) != op(op(e1,unit),e1)
| ~ spl21_93
| spl21_118 ),
inference(forward_demodulation,[],[f792,f681]) ).
fof(f792,plain,
( op(op(e1,unit),e1) != op(e1,op(unit,e1))
| spl21_118 ),
inference(avatar_component_clause,[],[f790]) ).
fof(f790,plain,
( spl21_118
<=> op(op(e1,unit),e1) = op(e1,op(unit,e1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_118])]) ).
fof(f1160,plain,
( ~ spl21_78
| ~ spl21_99
| spl21_117 ),
inference(avatar_contradiction_clause,[],[f1159]) ).
fof(f1159,plain,
( $false
| ~ spl21_78
| ~ spl21_99
| spl21_117 ),
inference(subsumption_resolution,[],[f1158,f609]) ).
fof(f1158,plain,
( e1 != op(e1,unit)
| ~ spl21_78
| ~ spl21_99
| spl21_117 ),
inference(forward_demodulation,[],[f1157,f609]) ).
fof(f1157,plain,
( op(e1,unit) != op(op(e1,unit),unit)
| ~ spl21_99
| spl21_117 ),
inference(forward_demodulation,[],[f788,f710]) ).
fof(f788,plain,
( op(op(e1,unit),unit) != op(e1,op(unit,unit))
| spl21_117 ),
inference(avatar_component_clause,[],[f786]) ).
fof(f786,plain,
( spl21_117
<=> op(op(e1,unit),unit) = op(e1,op(unit,unit)) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_117])]) ).
fof(f1153,plain,
( ~ spl21_24
| ~ spl21_81
| ~ spl21_99
| spl21_116 ),
inference(avatar_contradiction_clause,[],[f1152]) ).
fof(f1152,plain,
( $false
| ~ spl21_24
| ~ spl21_81
| ~ spl21_99
| spl21_116 ),
inference(subsumption_resolution,[],[f1151,f350]) ).
fof(f1151,plain,
( op(e3,e3) != unit
| ~ spl21_24
| ~ spl21_81
| ~ spl21_99
| spl21_116 ),
inference(forward_demodulation,[],[f1150,f710]) ).
fof(f1150,plain,
( op(e3,e3) != op(unit,unit)
| ~ spl21_24
| ~ spl21_81
| spl21_116 ),
inference(forward_demodulation,[],[f1149,f623]) ).
fof(f1149,plain,
( op(unit,unit) != op(op(unit,e3),e3)
| ~ spl21_24
| spl21_116 ),
inference(forward_demodulation,[],[f784,f350]) ).
fof(f784,plain,
( op(op(unit,e3),e3) != op(unit,op(e3,e3))
| spl21_116 ),
inference(avatar_component_clause,[],[f782]) ).
fof(f782,plain,
( spl21_116
<=> op(op(unit,e3),e3) = op(unit,op(e3,e3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_116])]) ).
fof(f1145,plain,
( ~ spl21_28
| ~ spl21_81
| ~ spl21_93
| spl21_115 ),
inference(avatar_contradiction_clause,[],[f1144]) ).
fof(f1144,plain,
( $false
| ~ spl21_28
| ~ spl21_81
| ~ spl21_93
| spl21_115 ),
inference(subsumption_resolution,[],[f1143,f369]) ).
fof(f1143,plain,
( e1 != op(e3,e2)
| ~ spl21_28
| ~ spl21_81
| ~ spl21_93
| spl21_115 ),
inference(forward_demodulation,[],[f1142,f681]) ).
fof(f1142,plain,
( op(e3,e2) != op(unit,e1)
| ~ spl21_28
| ~ spl21_81
| spl21_115 ),
inference(forward_demodulation,[],[f1141,f623]) ).
fof(f1141,plain,
( op(unit,e1) != op(op(unit,e3),e2)
| ~ spl21_28
| spl21_115 ),
inference(forward_demodulation,[],[f780,f369]) ).
fof(f780,plain,
( op(op(unit,e3),e2) != op(unit,op(e3,e2))
| spl21_115 ),
inference(avatar_component_clause,[],[f778]) ).
fof(f778,plain,
( spl21_115
<=> op(op(unit,e3),e2) = op(unit,op(e3,e2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_115])]) ).
fof(f1138,plain,
( ~ spl21_32
| ~ spl21_81
| ~ spl21_87
| spl21_114 ),
inference(avatar_contradiction_clause,[],[f1137]) ).
fof(f1137,plain,
( $false
| ~ spl21_32
| ~ spl21_81
| ~ spl21_87
| spl21_114 ),
inference(subsumption_resolution,[],[f1136,f388]) ).
fof(f1136,plain,
( e2 != op(e3,e1)
| ~ spl21_32
| ~ spl21_81
| ~ spl21_87
| spl21_114 ),
inference(forward_demodulation,[],[f1135,f652]) ).
fof(f1135,plain,
( op(e3,e1) != op(unit,e2)
| ~ spl21_32
| ~ spl21_81
| spl21_114 ),
inference(forward_demodulation,[],[f1134,f623]) ).
fof(f1134,plain,
( op(unit,e2) != op(op(unit,e3),e1)
| ~ spl21_32
| spl21_114 ),
inference(forward_demodulation,[],[f776,f388]) ).
fof(f776,plain,
( op(op(unit,e3),e1) != op(unit,op(e3,e1))
| spl21_114 ),
inference(avatar_component_clause,[],[f774]) ).
fof(f774,plain,
( spl21_114
<=> op(op(unit,e3),e1) = op(unit,op(e3,e1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_114])]) ).
fof(f1130,plain,
( ~ spl21_36
| ~ spl21_81
| spl21_113 ),
inference(avatar_contradiction_clause,[],[f1129]) ).
fof(f1129,plain,
( $false
| ~ spl21_36
| ~ spl21_81
| spl21_113 ),
inference(subsumption_resolution,[],[f1128,f407]) ).
fof(f1128,plain,
( e3 != op(e3,unit)
| ~ spl21_36
| ~ spl21_81
| spl21_113 ),
inference(forward_demodulation,[],[f1127,f623]) ).
fof(f1127,plain,
( op(unit,e3) != op(op(unit,e3),unit)
| ~ spl21_36
| spl21_113 ),
inference(forward_demodulation,[],[f772,f407]) ).
fof(f772,plain,
( op(op(unit,e3),unit) != op(unit,op(e3,unit))
| spl21_113 ),
inference(avatar_component_clause,[],[f770]) ).
fof(f770,plain,
( spl21_113
<=> op(op(unit,e3),unit) = op(unit,op(e3,unit)) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_113])]) ).
fof(f1123,plain,
( ~ spl21_43
| ~ spl21_87
| ~ spl21_93
| spl21_112 ),
inference(avatar_contradiction_clause,[],[f1122]) ).
fof(f1122,plain,
( $false
| ~ spl21_43
| ~ spl21_87
| ~ spl21_93
| spl21_112 ),
inference(subsumption_resolution,[],[f1121,f441]) ).
fof(f1121,plain,
( e1 != op(e2,e3)
| ~ spl21_43
| ~ spl21_87
| ~ spl21_93
| spl21_112 ),
inference(forward_demodulation,[],[f1120,f681]) ).
fof(f1120,plain,
( op(e2,e3) != op(unit,e1)
| ~ spl21_43
| ~ spl21_87
| spl21_112 ),
inference(forward_demodulation,[],[f1119,f652]) ).
fof(f1119,plain,
( op(unit,e1) != op(op(unit,e2),e3)
| ~ spl21_43
| spl21_112 ),
inference(forward_demodulation,[],[f768,f441]) ).
fof(f768,plain,
( op(op(unit,e2),e3) != op(unit,op(e2,e3))
| spl21_112 ),
inference(avatar_component_clause,[],[f766]) ).
fof(f766,plain,
( spl21_112
<=> op(op(unit,e2),e3) = op(unit,op(e2,e3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_112])]) ).
fof(f1115,plain,
( ~ spl21_49
| ~ spl21_87
| ~ spl21_99
| spl21_111 ),
inference(avatar_contradiction_clause,[],[f1114]) ).
fof(f1114,plain,
( $false
| ~ spl21_49
| ~ spl21_87
| ~ spl21_99
| spl21_111 ),
inference(subsumption_resolution,[],[f1113,f470]) ).
fof(f1113,plain,
( op(e2,e2) != unit
| ~ spl21_49
| ~ spl21_87
| ~ spl21_99
| spl21_111 ),
inference(forward_demodulation,[],[f1112,f710]) ).
fof(f1112,plain,
( op(e2,e2) != op(unit,unit)
| ~ spl21_49
| ~ spl21_87
| spl21_111 ),
inference(forward_demodulation,[],[f1111,f652]) ).
fof(f1111,plain,
( op(unit,unit) != op(op(unit,e2),e2)
| ~ spl21_49
| spl21_111 ),
inference(forward_demodulation,[],[f764,f470]) ).
fof(f764,plain,
( op(op(unit,e2),e2) != op(unit,op(e2,e2))
| spl21_111 ),
inference(avatar_component_clause,[],[f762]) ).
fof(f762,plain,
( spl21_111
<=> op(op(unit,e2),e2) = op(unit,op(e2,e2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_111])]) ).
fof(f1108,plain,
( ~ spl21_51
| ~ spl21_81
| ~ spl21_87
| spl21_110 ),
inference(avatar_contradiction_clause,[],[f1107]) ).
fof(f1107,plain,
( $false
| ~ spl21_51
| ~ spl21_81
| ~ spl21_87
| spl21_110 ),
inference(subsumption_resolution,[],[f1106,f479]) ).
fof(f1106,plain,
( e3 != op(e2,e1)
| ~ spl21_51
| ~ spl21_81
| ~ spl21_87
| spl21_110 ),
inference(forward_demodulation,[],[f1105,f623]) ).
fof(f1105,plain,
( op(e2,e1) != op(unit,e3)
| ~ spl21_51
| ~ spl21_87
| spl21_110 ),
inference(forward_demodulation,[],[f1104,f652]) ).
fof(f1104,plain,
( op(unit,e3) != op(op(unit,e2),e1)
| ~ spl21_51
| spl21_110 ),
inference(forward_demodulation,[],[f760,f479]) ).
fof(f760,plain,
( op(op(unit,e2),e1) != op(unit,op(e2,e1))
| spl21_110 ),
inference(avatar_component_clause,[],[f758]) ).
fof(f758,plain,
( spl21_110
<=> op(op(unit,e2),e1) = op(unit,op(e2,e1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_110])]) ).
fof(f1100,plain,
( ~ spl21_57
| ~ spl21_87
| spl21_109 ),
inference(avatar_contradiction_clause,[],[f1099]) ).
fof(f1099,plain,
( $false
| ~ spl21_57
| ~ spl21_87
| spl21_109 ),
inference(subsumption_resolution,[],[f1098,f508]) ).
fof(f1098,plain,
( e2 != op(e2,unit)
| ~ spl21_57
| ~ spl21_87
| spl21_109 ),
inference(forward_demodulation,[],[f1097,f652]) ).
fof(f1097,plain,
( op(unit,e2) != op(op(unit,e2),unit)
| ~ spl21_57
| spl21_109 ),
inference(forward_demodulation,[],[f756,f508]) ).
fof(f756,plain,
( op(op(unit,e2),unit) != op(unit,op(e2,unit))
| spl21_109 ),
inference(avatar_component_clause,[],[f754]) ).
fof(f754,plain,
( spl21_109
<=> op(op(unit,e2),unit) = op(unit,op(e2,unit)) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_109])]) ).
fof(f1093,plain,
( ~ spl21_62
| ~ spl21_87
| ~ spl21_93
| spl21_108 ),
inference(avatar_contradiction_clause,[],[f1092]) ).
fof(f1092,plain,
( $false
| ~ spl21_62
| ~ spl21_87
| ~ spl21_93
| spl21_108 ),
inference(subsumption_resolution,[],[f1091,f532]) ).
fof(f1091,plain,
( e2 != op(e1,e3)
| ~ spl21_62
| ~ spl21_87
| ~ spl21_93
| spl21_108 ),
inference(forward_demodulation,[],[f1090,f652]) ).
fof(f1090,plain,
( op(e1,e3) != op(unit,e2)
| ~ spl21_62
| ~ spl21_93
| spl21_108 ),
inference(forward_demodulation,[],[f1089,f681]) ).
fof(f1089,plain,
( op(unit,e2) != op(op(unit,e1),e3)
| ~ spl21_62
| spl21_108 ),
inference(forward_demodulation,[],[f752,f532]) ).
fof(f752,plain,
( op(op(unit,e1),e3) != op(unit,op(e1,e3))
| spl21_108 ),
inference(avatar_component_clause,[],[f750]) ).
fof(f750,plain,
( spl21_108
<=> op(op(unit,e1),e3) = op(unit,op(e1,e3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_108])]) ).
fof(f1085,plain,
( ~ spl21_66
| ~ spl21_81
| ~ spl21_93
| spl21_107 ),
inference(avatar_contradiction_clause,[],[f1084]) ).
fof(f1084,plain,
( $false
| ~ spl21_66
| ~ spl21_81
| ~ spl21_93
| spl21_107 ),
inference(subsumption_resolution,[],[f1083,f551]) ).
fof(f1083,plain,
( e3 != op(e1,e2)
| ~ spl21_66
| ~ spl21_81
| ~ spl21_93
| spl21_107 ),
inference(forward_demodulation,[],[f1082,f623]) ).
fof(f1082,plain,
( op(e1,e2) != op(unit,e3)
| ~ spl21_66
| ~ spl21_93
| spl21_107 ),
inference(forward_demodulation,[],[f1081,f681]) ).
fof(f1081,plain,
( op(unit,e3) != op(op(unit,e1),e2)
| ~ spl21_66
| spl21_107 ),
inference(forward_demodulation,[],[f748,f551]) ).
fof(f748,plain,
( op(op(unit,e1),e2) != op(unit,op(e1,e2))
| spl21_107 ),
inference(avatar_component_clause,[],[f746]) ).
fof(f746,plain,
( spl21_107
<=> op(op(unit,e1),e2) = op(unit,op(e1,e2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_107])]) ).
fof(f1078,plain,
( ~ spl21_74
| ~ spl21_93
| ~ spl21_99
| spl21_106 ),
inference(avatar_contradiction_clause,[],[f1077]) ).
fof(f1077,plain,
( $false
| ~ spl21_74
| ~ spl21_93
| ~ spl21_99
| spl21_106 ),
inference(subsumption_resolution,[],[f1076,f590]) ).
fof(f1076,plain,
( op(e1,e1) != unit
| ~ spl21_74
| ~ spl21_93
| ~ spl21_99
| spl21_106 ),
inference(forward_demodulation,[],[f1075,f710]) ).
fof(f1075,plain,
( op(e1,e1) != op(unit,unit)
| ~ spl21_74
| ~ spl21_93
| spl21_106 ),
inference(forward_demodulation,[],[f1074,f681]) ).
fof(f1074,plain,
( op(unit,unit) != op(op(unit,e1),e1)
| ~ spl21_74
| spl21_106 ),
inference(forward_demodulation,[],[f744,f590]) ).
fof(f744,plain,
( op(op(unit,e1),e1) != op(unit,op(e1,e1))
| spl21_106 ),
inference(avatar_component_clause,[],[f742]) ).
fof(f742,plain,
( spl21_106
<=> op(op(unit,e1),e1) = op(unit,op(e1,e1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_106])]) ).
fof(f1072,plain,
( ~ spl21_78
| ~ spl21_93
| spl21_105 ),
inference(avatar_contradiction_clause,[],[f1071]) ).
fof(f1071,plain,
( $false
| ~ spl21_78
| ~ spl21_93
| spl21_105 ),
inference(subsumption_resolution,[],[f1070,f609]) ).
fof(f1070,plain,
( e1 != op(e1,unit)
| ~ spl21_78
| ~ spl21_93
| spl21_105 ),
inference(forward_demodulation,[],[f1069,f681]) ).
fof(f1069,plain,
( op(unit,e1) != op(op(unit,e1),unit)
| ~ spl21_78
| spl21_105 ),
inference(forward_demodulation,[],[f740,f609]) ).
fof(f740,plain,
( op(op(unit,e1),unit) != op(unit,op(e1,unit))
| spl21_105 ),
inference(avatar_component_clause,[],[f738]) ).
fof(f738,plain,
( spl21_105
<=> op(op(unit,e1),unit) = op(unit,op(e1,unit)) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_105])]) ).
fof(f1067,plain,
( ~ spl21_81
| ~ spl21_99
| spl21_104 ),
inference(avatar_contradiction_clause,[],[f1066]) ).
fof(f1066,plain,
( $false
| ~ spl21_81
| ~ spl21_99
| spl21_104 ),
inference(trivial_inequality_removal,[],[f1065]) ).
fof(f1065,plain,
( op(unit,e3) != op(unit,e3)
| ~ spl21_81
| ~ spl21_99
| spl21_104 ),
inference(forward_demodulation,[],[f1064,f710]) ).
fof(f1064,plain,
( op(unit,e3) != op(op(unit,unit),e3)
| ~ spl21_81
| spl21_104 ),
inference(forward_demodulation,[],[f736,f623]) ).
fof(f736,plain,
( op(op(unit,unit),e3) != op(unit,op(unit,e3))
| spl21_104 ),
inference(avatar_component_clause,[],[f734]) ).
fof(f734,plain,
( spl21_104
<=> op(op(unit,unit),e3) = op(unit,op(unit,e3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_104])]) ).
fof(f1062,plain,
( ~ spl21_87
| ~ spl21_99
| spl21_103 ),
inference(avatar_contradiction_clause,[],[f1061]) ).
fof(f1061,plain,
( $false
| ~ spl21_87
| ~ spl21_99
| spl21_103 ),
inference(trivial_inequality_removal,[],[f1060]) ).
fof(f1060,plain,
( op(unit,e2) != op(unit,e2)
| ~ spl21_87
| ~ spl21_99
| spl21_103 ),
inference(forward_demodulation,[],[f1059,f710]) ).
fof(f1059,plain,
( op(unit,e2) != op(op(unit,unit),e2)
| ~ spl21_87
| spl21_103 ),
inference(forward_demodulation,[],[f732,f652]) ).
fof(f732,plain,
( op(op(unit,unit),e2) != op(unit,op(unit,e2))
| spl21_103 ),
inference(avatar_component_clause,[],[f730]) ).
fof(f730,plain,
( spl21_103
<=> op(op(unit,unit),e2) = op(unit,op(unit,e2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_103])]) ).
fof(f1058,plain,
( ~ spl21_93
| ~ spl21_99
| spl21_102 ),
inference(avatar_contradiction_clause,[],[f1057]) ).
fof(f1057,plain,
( $false
| ~ spl21_93
| ~ spl21_99
| spl21_102 ),
inference(trivial_inequality_removal,[],[f1056]) ).
fof(f1056,plain,
( op(unit,e1) != op(unit,e1)
| ~ spl21_93
| ~ spl21_99
| spl21_102 ),
inference(forward_demodulation,[],[f1055,f710]) ).
fof(f1055,plain,
( op(unit,e1) != op(op(unit,unit),e1)
| ~ spl21_93
| spl21_102 ),
inference(forward_demodulation,[],[f728,f681]) ).
fof(f728,plain,
( op(op(unit,unit),e1) != op(unit,op(unit,e1))
| spl21_102 ),
inference(avatar_component_clause,[],[f726]) ).
fof(f726,plain,
( spl21_102
<=> op(op(unit,unit),e1) = op(unit,op(unit,e1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_102])]) ).
fof(f1054,plain,
( ~ spl21_99
| spl21_101 ),
inference(avatar_contradiction_clause,[],[f1053]) ).
fof(f1053,plain,
( $false
| ~ spl21_99
| spl21_101 ),
inference(trivial_inequality_removal,[],[f1052]) ).
fof(f1052,plain,
( op(unit,unit) != op(unit,unit)
| ~ spl21_99
| spl21_101 ),
inference(backward_demodulation,[],[f724,f710]) ).
fof(f724,plain,
( op(op(unit,unit),unit) != op(unit,op(unit,unit))
| spl21_101 ),
inference(avatar_component_clause,[],[f722]) ).
fof(f722,plain,
( spl21_101
<=> op(op(unit,unit),unit) = op(unit,op(unit,unit)) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_101])]) ).
fof(f1048,plain,
spl21_99,
inference(avatar_split_clause,[],[f228,f709]) ).
fof(f228,plain,
unit = op(unit,unit),
inference(definition_unfolding,[],[f144,f143,f143,f143]) ).
fof(f143,plain,
e0 = unit,
inference(cnf_transformation,[],[f3]) ).
fof(f3,axiom,
e0 = unit,
file('/export/starexec/sandbox2/tmp/tmp.XRRIrptDiP/Vampire---4.8_23263',ax3) ).
fof(f144,plain,
e0 = op(e0,e0),
inference(cnf_transformation,[],[f2]) ).
fof(f2,axiom,
( e0 = op(e3,e3)
& e1 = op(e3,e2)
& e2 = op(e3,e1)
& e3 = op(e3,e0)
& e1 = op(e2,e3)
& e0 = op(e2,e2)
& e3 = op(e2,e1)
& e2 = op(e2,e0)
& e2 = op(e1,e3)
& e3 = op(e1,e2)
& e0 = op(e1,e1)
& e1 = op(e1,e0)
& e3 = op(e0,e3)
& e2 = op(e0,e2)
& e1 = op(e0,e1)
& e0 = op(e0,e0) ),
file('/export/starexec/sandbox2/tmp/tmp.XRRIrptDiP/Vampire---4.8_23263',ax2) ).
fof(f1047,plain,
spl21_93,
inference(avatar_split_clause,[],[f227,f680]) ).
fof(f227,plain,
e1 = op(unit,e1),
inference(definition_unfolding,[],[f145,f143]) ).
fof(f145,plain,
e1 = op(e0,e1),
inference(cnf_transformation,[],[f2]) ).
fof(f1046,plain,
spl21_87,
inference(avatar_split_clause,[],[f226,f651]) ).
fof(f226,plain,
e2 = op(unit,e2),
inference(definition_unfolding,[],[f146,f143]) ).
fof(f146,plain,
e2 = op(e0,e2),
inference(cnf_transformation,[],[f2]) ).
fof(f1045,plain,
spl21_81,
inference(avatar_split_clause,[],[f225,f622]) ).
fof(f225,plain,
e3 = op(unit,e3),
inference(definition_unfolding,[],[f147,f143]) ).
fof(f147,plain,
e3 = op(e0,e3),
inference(cnf_transformation,[],[f2]) ).
fof(f1044,plain,
spl21_78,
inference(avatar_split_clause,[],[f224,f608]) ).
fof(f224,plain,
e1 = op(e1,unit),
inference(definition_unfolding,[],[f148,f143]) ).
fof(f148,plain,
e1 = op(e1,e0),
inference(cnf_transformation,[],[f2]) ).
fof(f1043,plain,
spl21_74,
inference(avatar_split_clause,[],[f223,f589]) ).
fof(f223,plain,
op(e1,e1) = unit,
inference(definition_unfolding,[],[f149,f143]) ).
fof(f149,plain,
e0 = op(e1,e1),
inference(cnf_transformation,[],[f2]) ).
fof(f1042,plain,
spl21_66,
inference(avatar_split_clause,[],[f150,f550]) ).
fof(f150,plain,
e3 = op(e1,e2),
inference(cnf_transformation,[],[f2]) ).
fof(f1041,plain,
spl21_62,
inference(avatar_split_clause,[],[f151,f531]) ).
fof(f151,plain,
e2 = op(e1,e3),
inference(cnf_transformation,[],[f2]) ).
fof(f1040,plain,
spl21_57,
inference(avatar_split_clause,[],[f222,f507]) ).
fof(f222,plain,
e2 = op(e2,unit),
inference(definition_unfolding,[],[f152,f143]) ).
fof(f152,plain,
e2 = op(e2,e0),
inference(cnf_transformation,[],[f2]) ).
fof(f1039,plain,
spl21_51,
inference(avatar_split_clause,[],[f153,f478]) ).
fof(f153,plain,
e3 = op(e2,e1),
inference(cnf_transformation,[],[f2]) ).
fof(f1038,plain,
spl21_49,
inference(avatar_split_clause,[],[f221,f469]) ).
fof(f221,plain,
op(e2,e2) = unit,
inference(definition_unfolding,[],[f154,f143]) ).
fof(f154,plain,
e0 = op(e2,e2),
inference(cnf_transformation,[],[f2]) ).
fof(f1037,plain,
spl21_43,
inference(avatar_split_clause,[],[f155,f440]) ).
fof(f155,plain,
e1 = op(e2,e3),
inference(cnf_transformation,[],[f2]) ).
fof(f1036,plain,
spl21_36,
inference(avatar_split_clause,[],[f220,f406]) ).
fof(f220,plain,
e3 = op(e3,unit),
inference(definition_unfolding,[],[f156,f143]) ).
fof(f156,plain,
e3 = op(e3,e0),
inference(cnf_transformation,[],[f2]) ).
fof(f1035,plain,
spl21_32,
inference(avatar_split_clause,[],[f157,f387]) ).
fof(f157,plain,
e2 = op(e3,e1),
inference(cnf_transformation,[],[f2]) ).
fof(f1034,plain,
spl21_28,
inference(avatar_split_clause,[],[f158,f368]) ).
fof(f158,plain,
e1 = op(e3,e2),
inference(cnf_transformation,[],[f2]) ).
fof(f1033,plain,
spl21_24,
inference(avatar_split_clause,[],[f219,f349]) ).
fof(f219,plain,
op(e3,e3) = unit,
inference(definition_unfolding,[],[f159,f143]) ).
fof(f159,plain,
e0 = op(e3,e3),
inference(cnf_transformation,[],[f2]) ).
fof(f1032,plain,
spl21_15,
inference(avatar_split_clause,[],[f218,f305]) ).
fof(f218,plain,
unit = inv(unit),
inference(definition_unfolding,[],[f139,f143,f143]) ).
fof(f139,plain,
e0 = inv(e0),
inference(cnf_transformation,[],[f4]) ).
fof(f4,axiom,
( e3 = inv(e3)
& e2 = inv(e2)
& e1 = inv(e1)
& e0 = inv(e0) ),
file('/export/starexec/sandbox2/tmp/tmp.XRRIrptDiP/Vampire---4.8_23263',ax4) ).
fof(f1031,plain,
spl21_9,
inference(avatar_split_clause,[],[f140,f276]) ).
fof(f140,plain,
e1 = inv(e1),
inference(cnf_transformation,[],[f4]) ).
fof(f1030,plain,
spl21_3,
inference(avatar_split_clause,[],[f141,f247]) ).
fof(f141,plain,
e2 = inv(e2),
inference(cnf_transformation,[],[f4]) ).
fof(f1029,plain,
spl21_173,
inference(avatar_split_clause,[],[f142,f1010]) ).
fof(f142,plain,
e3 = inv(e3),
inference(cnf_transformation,[],[f4]) ).
fof(f1013,plain,
( spl21_100
| spl21_95
| spl21_90
| spl21_85
| spl21_80
| spl21_75
| spl21_70
| spl21_65
| spl21_60
| spl21_55
| spl21_50
| spl21_45
| spl21_40
| spl21_35
| spl21_30
| spl21_25
| spl21_20
| ~ spl21_101
| ~ spl21_102
| ~ spl21_103
| ~ spl21_104
| ~ spl21_105
| ~ spl21_106
| ~ spl21_107
| ~ spl21_108
| ~ spl21_109
| ~ spl21_110
| ~ spl21_111
| ~ spl21_112
| ~ spl21_113
| ~ spl21_114
| ~ spl21_115
| ~ spl21_116
| ~ spl21_117
| ~ spl21_118
| ~ spl21_119
| ~ spl21_120
| ~ spl21_121
| ~ spl21_122
| ~ spl21_123
| ~ spl21_124
| ~ spl21_125
| ~ spl21_126
| ~ spl21_127
| ~ spl21_128
| ~ spl21_129
| ~ spl21_130
| ~ spl21_131
| ~ spl21_132
| ~ spl21_133
| ~ spl21_134
| ~ spl21_135
| ~ spl21_136
| ~ spl21_137
| ~ spl21_138
| ~ spl21_139
| ~ spl21_140
| ~ spl21_141
| ~ spl21_142
| ~ spl21_143
| ~ spl21_144
| ~ spl21_145
| ~ spl21_146
| ~ spl21_147
| ~ spl21_148
| ~ spl21_149
| ~ spl21_150
| ~ spl21_151
| ~ spl21_152
| ~ spl21_153
| ~ spl21_154
| ~ spl21_155
| ~ spl21_156
| ~ spl21_157
| ~ spl21_158
| ~ spl21_159
| ~ spl21_160
| ~ spl21_161
| ~ spl21_162
| ~ spl21_163
| ~ spl21_164
| ~ spl21_99
| ~ spl21_93
| ~ spl21_78
| ~ spl21_87
| ~ spl21_57
| ~ spl21_81
| ~ spl21_36
| spl21_16
| ~ spl21_165
| ~ spl21_166
| ~ spl21_167
| ~ spl21_168
| ~ spl21_169
| ~ spl21_170
| ~ spl21_171
| ~ spl21_172
| spl21_11
| spl21_6
| spl21_1
| ~ spl21_173 ),
inference(avatar_split_clause,[],[f235,f1010,f238,f262,f286,f1006,f1002,f998,f994,f990,f986,f982,f978,f310,f406,f622,f507,f651,f608,f680,f709,f974,f970,f966,f962,f958,f954,f950,f946,f942,f938,f934,f930,f926,f922,f918,f914,f910,f906,f902,f898,f894,f890,f886,f882,f878,f874,f870,f866,f862,f858,f854,f850,f846,f842,f838,f834,f830,f826,f822,f818,f814,f810,f806,f802,f798,f794,f790,f786,f782,f778,f774,f770,f766,f762,f758,f754,f750,f746,f742,f738,f734,f730,f726,f722,f330,f354,f378,f402,f426,f450,f474,f498,f522,f546,f570,f594,f618,f642,f666,f690,f714]) ).
fof(f714,plain,
( spl21_100
<=> sP0 ),
introduced(avatar_definition,[new_symbols(naming,[spl21_100])]) ).
fof(f690,plain,
( spl21_95
<=> sP1 ),
introduced(avatar_definition,[new_symbols(naming,[spl21_95])]) ).
fof(f666,plain,
( spl21_90
<=> sP2 ),
introduced(avatar_definition,[new_symbols(naming,[spl21_90])]) ).
fof(f642,plain,
( spl21_85
<=> sP3 ),
introduced(avatar_definition,[new_symbols(naming,[spl21_85])]) ).
fof(f618,plain,
( spl21_80
<=> sP4 ),
introduced(avatar_definition,[new_symbols(naming,[spl21_80])]) ).
fof(f594,plain,
( spl21_75
<=> sP5 ),
introduced(avatar_definition,[new_symbols(naming,[spl21_75])]) ).
fof(f570,plain,
( spl21_70
<=> sP6 ),
introduced(avatar_definition,[new_symbols(naming,[spl21_70])]) ).
fof(f546,plain,
( spl21_65
<=> sP7 ),
introduced(avatar_definition,[new_symbols(naming,[spl21_65])]) ).
fof(f522,plain,
( spl21_60
<=> sP8 ),
introduced(avatar_definition,[new_symbols(naming,[spl21_60])]) ).
fof(f498,plain,
( spl21_55
<=> sP9 ),
introduced(avatar_definition,[new_symbols(naming,[spl21_55])]) ).
fof(f474,plain,
( spl21_50
<=> sP10 ),
introduced(avatar_definition,[new_symbols(naming,[spl21_50])]) ).
fof(f450,plain,
( spl21_45
<=> sP11 ),
introduced(avatar_definition,[new_symbols(naming,[spl21_45])]) ).
fof(f426,plain,
( spl21_40
<=> sP12 ),
introduced(avatar_definition,[new_symbols(naming,[spl21_40])]) ).
fof(f402,plain,
( spl21_35
<=> sP13 ),
introduced(avatar_definition,[new_symbols(naming,[spl21_35])]) ).
fof(f378,plain,
( spl21_30
<=> sP14 ),
introduced(avatar_definition,[new_symbols(naming,[spl21_30])]) ).
fof(f354,plain,
( spl21_25
<=> sP15 ),
introduced(avatar_definition,[new_symbols(naming,[spl21_25])]) ).
fof(f330,plain,
( spl21_20
<=> sP16 ),
introduced(avatar_definition,[new_symbols(naming,[spl21_20])]) ).
fof(f310,plain,
( spl21_16
<=> sP17 ),
introduced(avatar_definition,[new_symbols(naming,[spl21_16])]) ).
fof(f286,plain,
( spl21_11
<=> sP18 ),
introduced(avatar_definition,[new_symbols(naming,[spl21_11])]) ).
fof(f262,plain,
( spl21_6
<=> sP19 ),
introduced(avatar_definition,[new_symbols(naming,[spl21_6])]) ).
fof(f238,plain,
( spl21_1
<=> sP20 ),
introduced(avatar_definition,[new_symbols(naming,[spl21_1])]) ).
fof(f235,plain,
( e3 != inv(e3)
| sP20
| sP19
| sP18
| unit != op(inv(e3),e3)
| unit != op(e3,inv(e3))
| unit != op(inv(e2),e2)
| unit != op(e2,inv(e2))
| unit != op(inv(e1),e1)
| unit != op(e1,inv(e1))
| unit != op(inv(unit),unit)
| unit != op(unit,inv(unit))
| sP17
| e3 != op(e3,unit)
| e3 != op(unit,e3)
| e2 != op(e2,unit)
| e2 != op(unit,e2)
| e1 != op(e1,unit)
| e1 != op(unit,e1)
| unit != op(unit,unit)
| op(op(e3,e3),e3) != op(e3,op(e3,e3))
| op(op(e3,e3),e2) != op(e3,op(e3,e2))
| op(op(e3,e3),e1) != op(e3,op(e3,e1))
| op(op(e3,e3),unit) != op(e3,op(e3,unit))
| op(op(e3,e2),e3) != op(e3,op(e2,e3))
| op(op(e3,e2),e2) != op(e3,op(e2,e2))
| op(op(e3,e2),e1) != op(e3,op(e2,e1))
| op(op(e3,e2),unit) != op(e3,op(e2,unit))
| op(op(e3,e1),e3) != op(e3,op(e1,e3))
| op(op(e3,e1),e2) != op(e3,op(e1,e2))
| op(op(e3,e1),e1) != op(e3,op(e1,e1))
| op(op(e3,e1),unit) != op(e3,op(e1,unit))
| op(op(e3,unit),e3) != op(e3,op(unit,e3))
| op(op(e3,unit),e2) != op(e3,op(unit,e2))
| op(op(e3,unit),e1) != op(e3,op(unit,e1))
| op(op(e3,unit),unit) != op(e3,op(unit,unit))
| op(op(e2,e3),e3) != op(e2,op(e3,e3))
| op(op(e2,e3),e2) != op(e2,op(e3,e2))
| op(op(e2,e3),e1) != op(e2,op(e3,e1))
| op(op(e2,e3),unit) != op(e2,op(e3,unit))
| op(op(e2,e2),e3) != op(e2,op(e2,e3))
| op(op(e2,e2),e2) != op(e2,op(e2,e2))
| op(op(e2,e2),e1) != op(e2,op(e2,e1))
| op(op(e2,e2),unit) != op(e2,op(e2,unit))
| op(op(e2,e1),e3) != op(e2,op(e1,e3))
| op(op(e2,e1),e2) != op(e2,op(e1,e2))
| op(op(e2,e1),e1) != op(e2,op(e1,e1))
| op(op(e2,e1),unit) != op(e2,op(e1,unit))
| op(op(e2,unit),e3) != op(e2,op(unit,e3))
| op(op(e2,unit),e2) != op(e2,op(unit,e2))
| op(op(e2,unit),e1) != op(e2,op(unit,e1))
| op(op(e2,unit),unit) != op(e2,op(unit,unit))
| op(op(e1,e3),e3) != op(e1,op(e3,e3))
| op(op(e1,e3),e2) != op(e1,op(e3,e2))
| op(op(e1,e3),e1) != op(e1,op(e3,e1))
| op(op(e1,e3),unit) != op(e1,op(e3,unit))
| op(op(e1,e2),e3) != op(e1,op(e2,e3))
| op(op(e1,e2),e2) != op(e1,op(e2,e2))
| op(op(e1,e2),e1) != op(e1,op(e2,e1))
| op(op(e1,e2),unit) != op(e1,op(e2,unit))
| op(op(e1,e1),e3) != op(e1,op(e1,e3))
| op(op(e1,e1),e2) != op(e1,op(e1,e2))
| op(op(e1,e1),e1) != op(e1,op(e1,e1))
| op(op(e1,e1),unit) != op(e1,op(e1,unit))
| op(op(e1,unit),e3) != op(e1,op(unit,e3))
| op(op(e1,unit),e2) != op(e1,op(unit,e2))
| op(op(e1,unit),e1) != op(e1,op(unit,e1))
| op(op(e1,unit),unit) != op(e1,op(unit,unit))
| op(op(unit,e3),e3) != op(unit,op(e3,e3))
| op(op(unit,e3),e2) != op(unit,op(e3,e2))
| op(op(unit,e3),e1) != op(unit,op(e3,e1))
| op(op(unit,e3),unit) != op(unit,op(e3,unit))
| op(op(unit,e2),e3) != op(unit,op(e2,e3))
| op(op(unit,e2),e2) != op(unit,op(e2,e2))
| op(op(unit,e2),e1) != op(unit,op(e2,e1))
| op(op(unit,e2),unit) != op(unit,op(e2,unit))
| op(op(unit,e1),e3) != op(unit,op(e1,e3))
| op(op(unit,e1),e2) != op(unit,op(e1,e2))
| op(op(unit,e1),e1) != op(unit,op(e1,e1))
| op(op(unit,e1),unit) != op(unit,op(e1,unit))
| op(op(unit,unit),e3) != op(unit,op(unit,e3))
| op(op(unit,unit),e2) != op(unit,op(unit,e2))
| op(op(unit,unit),e1) != op(unit,op(unit,e1))
| op(op(unit,unit),unit) != op(unit,op(unit,unit))
| sP16
| sP15
| sP14
| sP13
| sP12
| sP11
| sP10
| sP9
| sP8
| sP7
| sP6
| sP5
| sP4
| sP3
| sP2
| sP1
| sP0 ),
inference(duplicate_literal_removal,[],[f214]) ).
fof(f214,plain,
( e3 != inv(e3)
| sP20
| sP19
| sP18
| unit != op(inv(e3),e3)
| unit != op(e3,inv(e3))
| unit != op(inv(e2),e2)
| unit != op(e2,inv(e2))
| unit != op(inv(e1),e1)
| unit != op(e1,inv(e1))
| unit != op(inv(unit),unit)
| unit != op(unit,inv(unit))
| sP17
| e3 != op(e3,unit)
| e3 != op(unit,e3)
| e2 != op(e2,unit)
| e2 != op(unit,e2)
| e1 != op(e1,unit)
| e1 != op(unit,e1)
| unit != op(unit,unit)
| unit != op(unit,unit)
| op(op(e3,e3),e3) != op(e3,op(e3,e3))
| op(op(e3,e3),e2) != op(e3,op(e3,e2))
| op(op(e3,e3),e1) != op(e3,op(e3,e1))
| op(op(e3,e3),unit) != op(e3,op(e3,unit))
| op(op(e3,e2),e3) != op(e3,op(e2,e3))
| op(op(e3,e2),e2) != op(e3,op(e2,e2))
| op(op(e3,e2),e1) != op(e3,op(e2,e1))
| op(op(e3,e2),unit) != op(e3,op(e2,unit))
| op(op(e3,e1),e3) != op(e3,op(e1,e3))
| op(op(e3,e1),e2) != op(e3,op(e1,e2))
| op(op(e3,e1),e1) != op(e3,op(e1,e1))
| op(op(e3,e1),unit) != op(e3,op(e1,unit))
| op(op(e3,unit),e3) != op(e3,op(unit,e3))
| op(op(e3,unit),e2) != op(e3,op(unit,e2))
| op(op(e3,unit),e1) != op(e3,op(unit,e1))
| op(op(e3,unit),unit) != op(e3,op(unit,unit))
| op(op(e2,e3),e3) != op(e2,op(e3,e3))
| op(op(e2,e3),e2) != op(e2,op(e3,e2))
| op(op(e2,e3),e1) != op(e2,op(e3,e1))
| op(op(e2,e3),unit) != op(e2,op(e3,unit))
| op(op(e2,e2),e3) != op(e2,op(e2,e3))
| op(op(e2,e2),e2) != op(e2,op(e2,e2))
| op(op(e2,e2),e1) != op(e2,op(e2,e1))
| op(op(e2,e2),unit) != op(e2,op(e2,unit))
| op(op(e2,e1),e3) != op(e2,op(e1,e3))
| op(op(e2,e1),e2) != op(e2,op(e1,e2))
| op(op(e2,e1),e1) != op(e2,op(e1,e1))
| op(op(e2,e1),unit) != op(e2,op(e1,unit))
| op(op(e2,unit),e3) != op(e2,op(unit,e3))
| op(op(e2,unit),e2) != op(e2,op(unit,e2))
| op(op(e2,unit),e1) != op(e2,op(unit,e1))
| op(op(e2,unit),unit) != op(e2,op(unit,unit))
| op(op(e1,e3),e3) != op(e1,op(e3,e3))
| op(op(e1,e3),e2) != op(e1,op(e3,e2))
| op(op(e1,e3),e1) != op(e1,op(e3,e1))
| op(op(e1,e3),unit) != op(e1,op(e3,unit))
| op(op(e1,e2),e3) != op(e1,op(e2,e3))
| op(op(e1,e2),e2) != op(e1,op(e2,e2))
| op(op(e1,e2),e1) != op(e1,op(e2,e1))
| op(op(e1,e2),unit) != op(e1,op(e2,unit))
| op(op(e1,e1),e3) != op(e1,op(e1,e3))
| op(op(e1,e1),e2) != op(e1,op(e1,e2))
| op(op(e1,e1),e1) != op(e1,op(e1,e1))
| op(op(e1,e1),unit) != op(e1,op(e1,unit))
| op(op(e1,unit),e3) != op(e1,op(unit,e3))
| op(op(e1,unit),e2) != op(e1,op(unit,e2))
| op(op(e1,unit),e1) != op(e1,op(unit,e1))
| op(op(e1,unit),unit) != op(e1,op(unit,unit))
| op(op(unit,e3),e3) != op(unit,op(e3,e3))
| op(op(unit,e3),e2) != op(unit,op(e3,e2))
| op(op(unit,e3),e1) != op(unit,op(e3,e1))
| op(op(unit,e3),unit) != op(unit,op(e3,unit))
| op(op(unit,e2),e3) != op(unit,op(e2,e3))
| op(op(unit,e2),e2) != op(unit,op(e2,e2))
| op(op(unit,e2),e1) != op(unit,op(e2,e1))
| op(op(unit,e2),unit) != op(unit,op(e2,unit))
| op(op(unit,e1),e3) != op(unit,op(e1,e3))
| op(op(unit,e1),e2) != op(unit,op(e1,e2))
| op(op(unit,e1),e1) != op(unit,op(e1,e1))
| op(op(unit,e1),unit) != op(unit,op(e1,unit))
| op(op(unit,unit),e3) != op(unit,op(unit,e3))
| op(op(unit,unit),e2) != op(unit,op(unit,e2))
| op(op(unit,unit),e1) != op(unit,op(unit,e1))
| op(op(unit,unit),unit) != op(unit,op(unit,unit))
| sP16
| sP15
| sP14
| sP13
| sP12
| sP11
| sP10
| sP9
| sP8
| sP7
| sP6
| sP5
| sP4
| sP3
| sP2
| sP1
| sP0 ),
inference(definition_unfolding,[],[f138,f143,f143,f143,f143,f143,f143,f143,f143,f143,f143,f143,f143,f143,f143,f143,f143,f143,f143,f143,f143,f143,f143,f143,f143,f143,f143,f143,f143,f143,f143,f143,f143,f143,f143,f143,f143,f143,f143,f143,f143,f143,f143,f143,f143,f143,f143,f143,f143,f143,f143,f143,f143,f143,f143,f143,f143,f143,f143,f143,f143,f143,f143,f143,f143,f143,f143,f143,f143,f143,f143,f143,f143,f143,f143,f143,f143,f143,f143,f143,f143,f143,f143,f143,f143,f143,f143,f143,f143,f143,f143,f143,f143,f143,f143,f143,f143,f143,f143,f143,f143,f143,f143,f143,f143]) ).
fof(f138,plain,
( e3 != inv(e3)
| sP20
| sP19
| sP18
| unit != op(inv(e3),e3)
| unit != op(e3,inv(e3))
| unit != op(inv(e2),e2)
| unit != op(e2,inv(e2))
| unit != op(inv(e1),e1)
| unit != op(e1,inv(e1))
| unit != op(inv(e0),e0)
| unit != op(e0,inv(e0))
| sP17
| e3 != op(e3,unit)
| e3 != op(unit,e3)
| e2 != op(e2,unit)
| e2 != op(unit,e2)
| e1 != op(e1,unit)
| e1 != op(unit,e1)
| e0 != op(e0,unit)
| e0 != op(unit,e0)
| op(op(e3,e3),e3) != op(e3,op(e3,e3))
| op(op(e3,e3),e2) != op(e3,op(e3,e2))
| op(op(e3,e3),e1) != op(e3,op(e3,e1))
| op(op(e3,e3),e0) != op(e3,op(e3,e0))
| op(op(e3,e2),e3) != op(e3,op(e2,e3))
| op(op(e3,e2),e2) != op(e3,op(e2,e2))
| op(op(e3,e2),e1) != op(e3,op(e2,e1))
| op(op(e3,e2),e0) != op(e3,op(e2,e0))
| op(op(e3,e1),e3) != op(e3,op(e1,e3))
| op(op(e3,e1),e2) != op(e3,op(e1,e2))
| op(op(e3,e1),e1) != op(e3,op(e1,e1))
| op(op(e3,e1),e0) != op(e3,op(e1,e0))
| op(op(e3,e0),e3) != op(e3,op(e0,e3))
| op(op(e3,e0),e2) != op(e3,op(e0,e2))
| op(op(e3,e0),e1) != op(e3,op(e0,e1))
| op(op(e3,e0),e0) != op(e3,op(e0,e0))
| op(op(e2,e3),e3) != op(e2,op(e3,e3))
| op(op(e2,e3),e2) != op(e2,op(e3,e2))
| op(op(e2,e3),e1) != op(e2,op(e3,e1))
| op(op(e2,e3),e0) != op(e2,op(e3,e0))
| op(op(e2,e2),e3) != op(e2,op(e2,e3))
| op(op(e2,e2),e2) != op(e2,op(e2,e2))
| op(op(e2,e2),e1) != op(e2,op(e2,e1))
| op(op(e2,e2),e0) != op(e2,op(e2,e0))
| op(op(e2,e1),e3) != op(e2,op(e1,e3))
| op(op(e2,e1),e2) != op(e2,op(e1,e2))
| op(op(e2,e1),e1) != op(e2,op(e1,e1))
| op(op(e2,e1),e0) != op(e2,op(e1,e0))
| op(op(e2,e0),e3) != op(e2,op(e0,e3))
| op(op(e2,e0),e2) != op(e2,op(e0,e2))
| op(op(e2,e0),e1) != op(e2,op(e0,e1))
| op(op(e2,e0),e0) != op(e2,op(e0,e0))
| op(op(e1,e3),e3) != op(e1,op(e3,e3))
| op(op(e1,e3),e2) != op(e1,op(e3,e2))
| op(op(e1,e3),e1) != op(e1,op(e3,e1))
| op(op(e1,e3),e0) != op(e1,op(e3,e0))
| op(op(e1,e2),e3) != op(e1,op(e2,e3))
| op(op(e1,e2),e2) != op(e1,op(e2,e2))
| op(op(e1,e2),e1) != op(e1,op(e2,e1))
| op(op(e1,e2),e0) != op(e1,op(e2,e0))
| op(op(e1,e1),e3) != op(e1,op(e1,e3))
| op(op(e1,e1),e2) != op(e1,op(e1,e2))
| op(op(e1,e1),e1) != op(e1,op(e1,e1))
| op(op(e1,e1),e0) != op(e1,op(e1,e0))
| op(op(e1,e0),e3) != op(e1,op(e0,e3))
| op(op(e1,e0),e2) != op(e1,op(e0,e2))
| op(op(e1,e0),e1) != op(e1,op(e0,e1))
| op(op(e1,e0),e0) != op(e1,op(e0,e0))
| op(op(e0,e3),e3) != op(e0,op(e3,e3))
| op(op(e0,e3),e2) != op(e0,op(e3,e2))
| op(op(e0,e3),e1) != op(e0,op(e3,e1))
| op(op(e0,e3),e0) != op(e0,op(e3,e0))
| op(op(e0,e2),e3) != op(e0,op(e2,e3))
| op(op(e0,e2),e2) != op(e0,op(e2,e2))
| op(op(e0,e2),e1) != op(e0,op(e2,e1))
| op(op(e0,e2),e0) != op(e0,op(e2,e0))
| op(op(e0,e1),e3) != op(e0,op(e1,e3))
| op(op(e0,e1),e2) != op(e0,op(e1,e2))
| op(op(e0,e1),e1) != op(e0,op(e1,e1))
| op(op(e0,e1),e0) != op(e0,op(e1,e0))
| op(op(e0,e0),e3) != op(e0,op(e0,e3))
| op(op(e0,e0),e2) != op(e0,op(e0,e2))
| op(op(e0,e0),e1) != op(e0,op(e0,e1))
| op(op(e0,e0),e0) != op(e0,op(e0,e0))
| sP16
| sP15
| sP14
| sP13
| sP12
| sP11
| sP10
| sP9
| sP8
| sP7
| sP6
| sP5
| sP4
| sP3
| sP2
| sP1
| sP0 ),
inference(cnf_transformation,[],[f29]) ).
fof(f29,plain,
( ( e3 != inv(e3)
& e2 != inv(e3)
& e1 != inv(e3)
& e0 != inv(e3) )
| sP20
| sP19
| sP18
| unit != op(inv(e3),e3)
| unit != op(e3,inv(e3))
| unit != op(inv(e2),e2)
| unit != op(e2,inv(e2))
| unit != op(inv(e1),e1)
| unit != op(e1,inv(e1))
| unit != op(inv(e0),e0)
| unit != op(e0,inv(e0))
| sP17
| e3 != op(e3,unit)
| e3 != op(unit,e3)
| e2 != op(e2,unit)
| e2 != op(unit,e2)
| e1 != op(e1,unit)
| e1 != op(unit,e1)
| e0 != op(e0,unit)
| e0 != op(unit,e0)
| op(op(e3,e3),e3) != op(e3,op(e3,e3))
| op(op(e3,e3),e2) != op(e3,op(e3,e2))
| op(op(e3,e3),e1) != op(e3,op(e3,e1))
| op(op(e3,e3),e0) != op(e3,op(e3,e0))
| op(op(e3,e2),e3) != op(e3,op(e2,e3))
| op(op(e3,e2),e2) != op(e3,op(e2,e2))
| op(op(e3,e2),e1) != op(e3,op(e2,e1))
| op(op(e3,e2),e0) != op(e3,op(e2,e0))
| op(op(e3,e1),e3) != op(e3,op(e1,e3))
| op(op(e3,e1),e2) != op(e3,op(e1,e2))
| op(op(e3,e1),e1) != op(e3,op(e1,e1))
| op(op(e3,e1),e0) != op(e3,op(e1,e0))
| op(op(e3,e0),e3) != op(e3,op(e0,e3))
| op(op(e3,e0),e2) != op(e3,op(e0,e2))
| op(op(e3,e0),e1) != op(e3,op(e0,e1))
| op(op(e3,e0),e0) != op(e3,op(e0,e0))
| op(op(e2,e3),e3) != op(e2,op(e3,e3))
| op(op(e2,e3),e2) != op(e2,op(e3,e2))
| op(op(e2,e3),e1) != op(e2,op(e3,e1))
| op(op(e2,e3),e0) != op(e2,op(e3,e0))
| op(op(e2,e2),e3) != op(e2,op(e2,e3))
| op(op(e2,e2),e2) != op(e2,op(e2,e2))
| op(op(e2,e2),e1) != op(e2,op(e2,e1))
| op(op(e2,e2),e0) != op(e2,op(e2,e0))
| op(op(e2,e1),e3) != op(e2,op(e1,e3))
| op(op(e2,e1),e2) != op(e2,op(e1,e2))
| op(op(e2,e1),e1) != op(e2,op(e1,e1))
| op(op(e2,e1),e0) != op(e2,op(e1,e0))
| op(op(e2,e0),e3) != op(e2,op(e0,e3))
| op(op(e2,e0),e2) != op(e2,op(e0,e2))
| op(op(e2,e0),e1) != op(e2,op(e0,e1))
| op(op(e2,e0),e0) != op(e2,op(e0,e0))
| op(op(e1,e3),e3) != op(e1,op(e3,e3))
| op(op(e1,e3),e2) != op(e1,op(e3,e2))
| op(op(e1,e3),e1) != op(e1,op(e3,e1))
| op(op(e1,e3),e0) != op(e1,op(e3,e0))
| op(op(e1,e2),e3) != op(e1,op(e2,e3))
| op(op(e1,e2),e2) != op(e1,op(e2,e2))
| op(op(e1,e2),e1) != op(e1,op(e2,e1))
| op(op(e1,e2),e0) != op(e1,op(e2,e0))
| op(op(e1,e1),e3) != op(e1,op(e1,e3))
| op(op(e1,e1),e2) != op(e1,op(e1,e2))
| op(op(e1,e1),e1) != op(e1,op(e1,e1))
| op(op(e1,e1),e0) != op(e1,op(e1,e0))
| op(op(e1,e0),e3) != op(e1,op(e0,e3))
| op(op(e1,e0),e2) != op(e1,op(e0,e2))
| op(op(e1,e0),e1) != op(e1,op(e0,e1))
| op(op(e1,e0),e0) != op(e1,op(e0,e0))
| op(op(e0,e3),e3) != op(e0,op(e3,e3))
| op(op(e0,e3),e2) != op(e0,op(e3,e2))
| op(op(e0,e3),e1) != op(e0,op(e3,e1))
| op(op(e0,e3),e0) != op(e0,op(e3,e0))
| op(op(e0,e2),e3) != op(e0,op(e2,e3))
| op(op(e0,e2),e2) != op(e0,op(e2,e2))
| op(op(e0,e2),e1) != op(e0,op(e2,e1))
| op(op(e0,e2),e0) != op(e0,op(e2,e0))
| op(op(e0,e1),e3) != op(e0,op(e1,e3))
| op(op(e0,e1),e2) != op(e0,op(e1,e2))
| op(op(e0,e1),e1) != op(e0,op(e1,e1))
| op(op(e0,e1),e0) != op(e0,op(e1,e0))
| op(op(e0,e0),e3) != op(e0,op(e0,e3))
| op(op(e0,e0),e2) != op(e0,op(e0,e2))
| op(op(e0,e0),e1) != op(e0,op(e0,e1))
| op(op(e0,e0),e0) != op(e0,op(e0,e0))
| sP16
| sP15
| sP14
| sP13
| sP12
| sP11
| sP10
| sP9
| sP8
| sP7
| sP6
| sP5
| sP4
| sP3
| sP2
| sP1
| 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,
( ( ( e3 != op(e3,e3)
| e3 != op(e2,e2)
| e3 != op(e1,e1)
| e3 != op(e0,e0) )
& ( e2 != op(e3,e3)
| e2 != op(e2,e2)
| e2 != op(e1,e1)
| e2 != op(e0,e0) )
& ( e1 != op(e3,e3)
| e1 != op(e2,e2)
| e1 != op(e1,e1)
| e1 != op(e0,e0) )
& ( e0 != op(e3,e3)
| e0 != op(e2,e2)
| e0 != op(e1,e1)
| e0 != op(e0,e0) ) )
| ~ sP0 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
fof(f9,plain,
( ( e3 != op(e0,e0)
& e2 != op(e0,e0)
& e1 != op(e0,e0)
& e0 != op(e0,e0) )
| ~ sP1 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])]) ).
fof(f10,plain,
( ( e3 != op(e0,e1)
& e2 != op(e0,e1)
& e1 != op(e0,e1)
& e0 != op(e0,e1) )
| ~ sP2 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP2])]) ).
fof(f11,plain,
( ( e3 != op(e0,e2)
& e2 != op(e0,e2)
& e1 != op(e0,e2)
& e0 != op(e0,e2) )
| ~ sP3 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP3])]) ).
fof(f12,plain,
( ( e3 != op(e0,e3)
& e2 != op(e0,e3)
& e1 != op(e0,e3)
& e0 != op(e0,e3) )
| ~ sP4 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP4])]) ).
fof(f13,plain,
( ( e3 != op(e1,e0)
& e2 != op(e1,e0)
& e1 != op(e1,e0)
& e0 != op(e1,e0) )
| ~ sP5 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP5])]) ).
fof(f14,plain,
( ( e3 != op(e1,e1)
& e2 != op(e1,e1)
& e1 != op(e1,e1)
& e0 != op(e1,e1) )
| ~ sP6 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP6])]) ).
fof(f15,plain,
( ( e3 != op(e1,e2)
& e2 != op(e1,e2)
& e1 != op(e1,e2)
& e0 != op(e1,e2) )
| ~ sP7 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP7])]) ).
fof(f16,plain,
( ( e3 != op(e1,e3)
& e2 != op(e1,e3)
& e1 != op(e1,e3)
& e0 != op(e1,e3) )
| ~ sP8 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP8])]) ).
fof(f17,plain,
( ( e3 != op(e2,e0)
& e2 != op(e2,e0)
& e1 != op(e2,e0)
& e0 != op(e2,e0) )
| ~ sP9 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP9])]) ).
fof(f18,plain,
( ( e3 != op(e2,e1)
& e2 != op(e2,e1)
& e1 != op(e2,e1)
& e0 != op(e2,e1) )
| ~ sP10 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP10])]) ).
fof(f19,plain,
( ( e3 != op(e2,e2)
& e2 != op(e2,e2)
& e1 != op(e2,e2)
& e0 != op(e2,e2) )
| ~ sP11 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP11])]) ).
fof(f20,plain,
( ( e3 != op(e2,e3)
& e2 != op(e2,e3)
& e1 != op(e2,e3)
& e0 != op(e2,e3) )
| ~ sP12 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP12])]) ).
fof(f21,plain,
( ( e3 != op(e3,e0)
& e2 != op(e3,e0)
& e1 != op(e3,e0)
& e0 != op(e3,e0) )
| ~ sP13 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP13])]) ).
fof(f22,plain,
( ( e3 != op(e3,e1)
& e2 != op(e3,e1)
& e1 != op(e3,e1)
& e0 != op(e3,e1) )
| ~ sP14 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP14])]) ).
fof(f23,plain,
( ( e3 != op(e3,e2)
& e2 != op(e3,e2)
& e1 != op(e3,e2)
& e0 != op(e3,e2) )
| ~ sP15 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP15])]) ).
fof(f24,plain,
( ( e3 != op(e3,e3)
& e2 != op(e3,e3)
& e1 != op(e3,e3)
& e0 != op(e3,e3) )
| ~ sP16 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP16])]) ).
fof(f25,plain,
( ( e3 != unit
& e2 != unit
& e1 != unit
& e0 != unit )
| ~ sP17 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP17])]) ).
fof(f26,plain,
( ( e3 != inv(e0)
& e2 != inv(e0)
& e1 != inv(e0)
& e0 != inv(e0) )
| ~ sP18 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP18])]) ).
fof(f27,plain,
( ( e3 != inv(e1)
& e2 != inv(e1)
& e1 != inv(e1)
& e0 != inv(e1) )
| ~ sP19 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP19])]) ).
fof(f28,plain,
( ( e3 != inv(e2)
& e2 != inv(e2)
& e1 != inv(e2)
& e0 != inv(e2) )
| ~ sP20 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP20])]) ).
fof(f7,plain,
( ( e3 != inv(e3)
& e2 != inv(e3)
& e1 != inv(e3)
& e0 != inv(e3) )
| ( e3 != inv(e2)
& e2 != inv(e2)
& e1 != inv(e2)
& e0 != inv(e2) )
| ( e3 != inv(e1)
& e2 != inv(e1)
& e1 != inv(e1)
& e0 != inv(e1) )
| ( e3 != inv(e0)
& e2 != inv(e0)
& e1 != inv(e0)
& e0 != inv(e0) )
| unit != op(inv(e3),e3)
| unit != op(e3,inv(e3))
| unit != op(inv(e2),e2)
| unit != op(e2,inv(e2))
| unit != op(inv(e1),e1)
| unit != op(e1,inv(e1))
| unit != op(inv(e0),e0)
| unit != op(e0,inv(e0))
| ( e3 != unit
& e2 != unit
& e1 != unit
& e0 != unit )
| e3 != op(e3,unit)
| e3 != op(unit,e3)
| e2 != op(e2,unit)
| e2 != op(unit,e2)
| e1 != op(e1,unit)
| e1 != op(unit,e1)
| e0 != op(e0,unit)
| e0 != op(unit,e0)
| op(op(e3,e3),e3) != op(e3,op(e3,e3))
| op(op(e3,e3),e2) != op(e3,op(e3,e2))
| op(op(e3,e3),e1) != op(e3,op(e3,e1))
| op(op(e3,e3),e0) != op(e3,op(e3,e0))
| op(op(e3,e2),e3) != op(e3,op(e2,e3))
| op(op(e3,e2),e2) != op(e3,op(e2,e2))
| op(op(e3,e2),e1) != op(e3,op(e2,e1))
| op(op(e3,e2),e0) != op(e3,op(e2,e0))
| op(op(e3,e1),e3) != op(e3,op(e1,e3))
| op(op(e3,e1),e2) != op(e3,op(e1,e2))
| op(op(e3,e1),e1) != op(e3,op(e1,e1))
| op(op(e3,e1),e0) != op(e3,op(e1,e0))
| op(op(e3,e0),e3) != op(e3,op(e0,e3))
| op(op(e3,e0),e2) != op(e3,op(e0,e2))
| op(op(e3,e0),e1) != op(e3,op(e0,e1))
| op(op(e3,e0),e0) != op(e3,op(e0,e0))
| op(op(e2,e3),e3) != op(e2,op(e3,e3))
| op(op(e2,e3),e2) != op(e2,op(e3,e2))
| op(op(e2,e3),e1) != op(e2,op(e3,e1))
| op(op(e2,e3),e0) != op(e2,op(e3,e0))
| op(op(e2,e2),e3) != op(e2,op(e2,e3))
| op(op(e2,e2),e2) != op(e2,op(e2,e2))
| op(op(e2,e2),e1) != op(e2,op(e2,e1))
| op(op(e2,e2),e0) != op(e2,op(e2,e0))
| op(op(e2,e1),e3) != op(e2,op(e1,e3))
| op(op(e2,e1),e2) != op(e2,op(e1,e2))
| op(op(e2,e1),e1) != op(e2,op(e1,e1))
| op(op(e2,e1),e0) != op(e2,op(e1,e0))
| op(op(e2,e0),e3) != op(e2,op(e0,e3))
| op(op(e2,e0),e2) != op(e2,op(e0,e2))
| op(op(e2,e0),e1) != op(e2,op(e0,e1))
| op(op(e2,e0),e0) != op(e2,op(e0,e0))
| op(op(e1,e3),e3) != op(e1,op(e3,e3))
| op(op(e1,e3),e2) != op(e1,op(e3,e2))
| op(op(e1,e3),e1) != op(e1,op(e3,e1))
| op(op(e1,e3),e0) != op(e1,op(e3,e0))
| op(op(e1,e2),e3) != op(e1,op(e2,e3))
| op(op(e1,e2),e2) != op(e1,op(e2,e2))
| op(op(e1,e2),e1) != op(e1,op(e2,e1))
| op(op(e1,e2),e0) != op(e1,op(e2,e0))
| op(op(e1,e1),e3) != op(e1,op(e1,e3))
| op(op(e1,e1),e2) != op(e1,op(e1,e2))
| op(op(e1,e1),e1) != op(e1,op(e1,e1))
| op(op(e1,e1),e0) != op(e1,op(e1,e0))
| op(op(e1,e0),e3) != op(e1,op(e0,e3))
| op(op(e1,e0),e2) != op(e1,op(e0,e2))
| op(op(e1,e0),e1) != op(e1,op(e0,e1))
| op(op(e1,e0),e0) != op(e1,op(e0,e0))
| op(op(e0,e3),e3) != op(e0,op(e3,e3))
| op(op(e0,e3),e2) != op(e0,op(e3,e2))
| op(op(e0,e3),e1) != op(e0,op(e3,e1))
| op(op(e0,e3),e0) != op(e0,op(e3,e0))
| op(op(e0,e2),e3) != op(e0,op(e2,e3))
| op(op(e0,e2),e2) != op(e0,op(e2,e2))
| op(op(e0,e2),e1) != op(e0,op(e2,e1))
| op(op(e0,e2),e0) != op(e0,op(e2,e0))
| op(op(e0,e1),e3) != op(e0,op(e1,e3))
| op(op(e0,e1),e2) != op(e0,op(e1,e2))
| op(op(e0,e1),e1) != op(e0,op(e1,e1))
| op(op(e0,e1),e0) != op(e0,op(e1,e0))
| op(op(e0,e0),e3) != op(e0,op(e0,e3))
| op(op(e0,e0),e2) != op(e0,op(e0,e2))
| op(op(e0,e0),e1) != op(e0,op(e0,e1))
| op(op(e0,e0),e0) != op(e0,op(e0,e0))
| ( e3 != op(e3,e3)
& e2 != op(e3,e3)
& e1 != op(e3,e3)
& e0 != op(e3,e3) )
| ( e3 != op(e3,e2)
& e2 != op(e3,e2)
& e1 != op(e3,e2)
& e0 != op(e3,e2) )
| ( e3 != op(e3,e1)
& e2 != op(e3,e1)
& e1 != op(e3,e1)
& e0 != op(e3,e1) )
| ( e3 != op(e3,e0)
& e2 != op(e3,e0)
& e1 != op(e3,e0)
& e0 != op(e3,e0) )
| ( e3 != op(e2,e3)
& e2 != op(e2,e3)
& e1 != op(e2,e3)
& e0 != op(e2,e3) )
| ( e3 != op(e2,e2)
& e2 != op(e2,e2)
& e1 != op(e2,e2)
& e0 != op(e2,e2) )
| ( e3 != op(e2,e1)
& e2 != op(e2,e1)
& e1 != op(e2,e1)
& e0 != op(e2,e1) )
| ( e3 != op(e2,e0)
& e2 != op(e2,e0)
& e1 != op(e2,e0)
& e0 != op(e2,e0) )
| ( e3 != op(e1,e3)
& e2 != op(e1,e3)
& e1 != op(e1,e3)
& e0 != op(e1,e3) )
| ( e3 != op(e1,e2)
& e2 != op(e1,e2)
& e1 != op(e1,e2)
& e0 != op(e1,e2) )
| ( e3 != op(e1,e1)
& e2 != op(e1,e1)
& e1 != op(e1,e1)
& e0 != op(e1,e1) )
| ( e3 != op(e1,e0)
& e2 != op(e1,e0)
& e1 != op(e1,e0)
& e0 != op(e1,e0) )
| ( e3 != op(e0,e3)
& e2 != op(e0,e3)
& e1 != op(e0,e3)
& e0 != op(e0,e3) )
| ( e3 != op(e0,e2)
& e2 != op(e0,e2)
& e1 != op(e0,e2)
& e0 != op(e0,e2) )
| ( e3 != op(e0,e1)
& e2 != op(e0,e1)
& e1 != op(e0,e1)
& e0 != op(e0,e1) )
| ( e3 != op(e0,e0)
& e2 != op(e0,e0)
& e1 != op(e0,e0)
& e0 != op(e0,e0) )
| ( ( e3 != op(e3,e3)
| e3 != op(e2,e2)
| e3 != op(e1,e1)
| e3 != op(e0,e0) )
& ( e2 != op(e3,e3)
| e2 != op(e2,e2)
| e2 != op(e1,e1)
| e2 != op(e0,e0) )
& ( e1 != op(e3,e3)
| e1 != op(e2,e2)
| e1 != op(e1,e1)
| e1 != op(e0,e0) )
& ( e0 != op(e3,e3)
| e0 != op(e2,e2)
| e0 != op(e1,e1)
| e0 != op(e0,e0) ) ) ),
inference(ennf_transformation,[],[f6]) ).
fof(f6,negated_conjecture,
~ ( ( e3 = inv(e3)
| e2 = inv(e3)
| e1 = inv(e3)
| e0 = inv(e3) )
& ( e3 = inv(e2)
| e2 = inv(e2)
| e1 = inv(e2)
| e0 = inv(e2) )
& ( e3 = inv(e1)
| e2 = inv(e1)
| e1 = inv(e1)
| e0 = inv(e1) )
& ( e3 = inv(e0)
| e2 = inv(e0)
| e1 = inv(e0)
| e0 = inv(e0) )
& unit = op(inv(e3),e3)
& unit = op(e3,inv(e3))
& unit = op(inv(e2),e2)
& unit = op(e2,inv(e2))
& unit = op(inv(e1),e1)
& unit = op(e1,inv(e1))
& unit = op(inv(e0),e0)
& unit = op(e0,inv(e0))
& ( e3 = unit
| e2 = unit
| e1 = unit
| e0 = unit )
& e3 = op(e3,unit)
& e3 = op(unit,e3)
& e2 = op(e2,unit)
& e2 = op(unit,e2)
& e1 = op(e1,unit)
& e1 = op(unit,e1)
& e0 = op(e0,unit)
& e0 = op(unit,e0)
& op(op(e3,e3),e3) = op(e3,op(e3,e3))
& op(op(e3,e3),e2) = op(e3,op(e3,e2))
& op(op(e3,e3),e1) = op(e3,op(e3,e1))
& op(op(e3,e3),e0) = op(e3,op(e3,e0))
& op(op(e3,e2),e3) = op(e3,op(e2,e3))
& op(op(e3,e2),e2) = op(e3,op(e2,e2))
& op(op(e3,e2),e1) = op(e3,op(e2,e1))
& op(op(e3,e2),e0) = op(e3,op(e2,e0))
& op(op(e3,e1),e3) = op(e3,op(e1,e3))
& op(op(e3,e1),e2) = op(e3,op(e1,e2))
& op(op(e3,e1),e1) = op(e3,op(e1,e1))
& op(op(e3,e1),e0) = op(e3,op(e1,e0))
& op(op(e3,e0),e3) = op(e3,op(e0,e3))
& op(op(e3,e0),e2) = op(e3,op(e0,e2))
& op(op(e3,e0),e1) = op(e3,op(e0,e1))
& op(op(e3,e0),e0) = op(e3,op(e0,e0))
& op(op(e2,e3),e3) = op(e2,op(e3,e3))
& op(op(e2,e3),e2) = op(e2,op(e3,e2))
& op(op(e2,e3),e1) = op(e2,op(e3,e1))
& op(op(e2,e3),e0) = op(e2,op(e3,e0))
& op(op(e2,e2),e3) = op(e2,op(e2,e3))
& op(op(e2,e2),e2) = op(e2,op(e2,e2))
& op(op(e2,e2),e1) = op(e2,op(e2,e1))
& op(op(e2,e2),e0) = op(e2,op(e2,e0))
& op(op(e2,e1),e3) = op(e2,op(e1,e3))
& op(op(e2,e1),e2) = op(e2,op(e1,e2))
& op(op(e2,e1),e1) = op(e2,op(e1,e1))
& op(op(e2,e1),e0) = op(e2,op(e1,e0))
& op(op(e2,e0),e3) = op(e2,op(e0,e3))
& op(op(e2,e0),e2) = op(e2,op(e0,e2))
& op(op(e2,e0),e1) = op(e2,op(e0,e1))
& op(op(e2,e0),e0) = op(e2,op(e0,e0))
& op(op(e1,e3),e3) = op(e1,op(e3,e3))
& op(op(e1,e3),e2) = op(e1,op(e3,e2))
& op(op(e1,e3),e1) = op(e1,op(e3,e1))
& op(op(e1,e3),e0) = op(e1,op(e3,e0))
& op(op(e1,e2),e3) = op(e1,op(e2,e3))
& op(op(e1,e2),e2) = op(e1,op(e2,e2))
& op(op(e1,e2),e1) = op(e1,op(e2,e1))
& op(op(e1,e2),e0) = op(e1,op(e2,e0))
& op(op(e1,e1),e3) = op(e1,op(e1,e3))
& op(op(e1,e1),e2) = op(e1,op(e1,e2))
& op(op(e1,e1),e1) = op(e1,op(e1,e1))
& op(op(e1,e1),e0) = op(e1,op(e1,e0))
& op(op(e1,e0),e3) = op(e1,op(e0,e3))
& op(op(e1,e0),e2) = op(e1,op(e0,e2))
& op(op(e1,e0),e1) = op(e1,op(e0,e1))
& op(op(e1,e0),e0) = op(e1,op(e0,e0))
& op(op(e0,e3),e3) = op(e0,op(e3,e3))
& op(op(e0,e3),e2) = op(e0,op(e3,e2))
& op(op(e0,e3),e1) = op(e0,op(e3,e1))
& op(op(e0,e3),e0) = op(e0,op(e3,e0))
& op(op(e0,e2),e3) = op(e0,op(e2,e3))
& op(op(e0,e2),e2) = op(e0,op(e2,e2))
& op(op(e0,e2),e1) = op(e0,op(e2,e1))
& op(op(e0,e2),e0) = op(e0,op(e2,e0))
& op(op(e0,e1),e3) = op(e0,op(e1,e3))
& op(op(e0,e1),e2) = op(e0,op(e1,e2))
& op(op(e0,e1),e1) = op(e0,op(e1,e1))
& op(op(e0,e1),e0) = op(e0,op(e1,e0))
& op(op(e0,e0),e3) = op(e0,op(e0,e3))
& op(op(e0,e0),e2) = op(e0,op(e0,e2))
& op(op(e0,e0),e1) = op(e0,op(e0,e1))
& op(op(e0,e0),e0) = op(e0,op(e0,e0))
& ( e3 = op(e3,e3)
| e2 = op(e3,e3)
| e1 = op(e3,e3)
| e0 = op(e3,e3) )
& ( e3 = op(e3,e2)
| e2 = op(e3,e2)
| e1 = op(e3,e2)
| e0 = op(e3,e2) )
& ( e3 = op(e3,e1)
| e2 = op(e3,e1)
| e1 = op(e3,e1)
| e0 = op(e3,e1) )
& ( e3 = op(e3,e0)
| e2 = op(e3,e0)
| e1 = op(e3,e0)
| e0 = op(e3,e0) )
& ( e3 = op(e2,e3)
| e2 = op(e2,e3)
| e1 = op(e2,e3)
| e0 = op(e2,e3) )
& ( e3 = op(e2,e2)
| e2 = op(e2,e2)
| e1 = op(e2,e2)
| e0 = op(e2,e2) )
& ( e3 = op(e2,e1)
| e2 = op(e2,e1)
| e1 = op(e2,e1)
| e0 = op(e2,e1) )
& ( e3 = op(e2,e0)
| e2 = op(e2,e0)
| e1 = op(e2,e0)
| e0 = op(e2,e0) )
& ( e3 = op(e1,e3)
| e2 = op(e1,e3)
| e1 = op(e1,e3)
| e0 = op(e1,e3) )
& ( e3 = op(e1,e2)
| e2 = op(e1,e2)
| e1 = op(e1,e2)
| e0 = op(e1,e2) )
& ( e3 = op(e1,e1)
| e2 = op(e1,e1)
| e1 = op(e1,e1)
| e0 = op(e1,e1) )
& ( e3 = op(e1,e0)
| e2 = op(e1,e0)
| e1 = op(e1,e0)
| e0 = op(e1,e0) )
& ( e3 = op(e0,e3)
| e2 = op(e0,e3)
| e1 = op(e0,e3)
| e0 = op(e0,e3) )
& ( e3 = op(e0,e2)
| e2 = op(e0,e2)
| e1 = op(e0,e2)
| e0 = op(e0,e2) )
& ( e3 = op(e0,e1)
| e2 = op(e0,e1)
| e1 = op(e0,e1)
| e0 = op(e0,e1) )
& ( e3 = op(e0,e0)
| e2 = op(e0,e0)
| e1 = op(e0,e0)
| e0 = op(e0,e0) )
& ( ( e3 = op(e3,e3)
& e3 = op(e2,e2)
& e3 = op(e1,e1)
& e3 = op(e0,e0) )
| ( e2 = op(e3,e3)
& e2 = op(e2,e2)
& e2 = op(e1,e1)
& e2 = op(e0,e0) )
| ( e1 = op(e3,e3)
& e1 = op(e2,e2)
& e1 = op(e1,e1)
& e1 = op(e0,e0) )
| ( e0 = op(e3,e3)
& e0 = op(e2,e2)
& e0 = op(e1,e1)
& e0 = op(e0,e0) ) ) ),
inference(negated_conjecture,[],[f5]) ).
fof(f5,conjecture,
( ( e3 = inv(e3)
| e2 = inv(e3)
| e1 = inv(e3)
| e0 = inv(e3) )
& ( e3 = inv(e2)
| e2 = inv(e2)
| e1 = inv(e2)
| e0 = inv(e2) )
& ( e3 = inv(e1)
| e2 = inv(e1)
| e1 = inv(e1)
| e0 = inv(e1) )
& ( e3 = inv(e0)
| e2 = inv(e0)
| e1 = inv(e0)
| e0 = inv(e0) )
& unit = op(inv(e3),e3)
& unit = op(e3,inv(e3))
& unit = op(inv(e2),e2)
& unit = op(e2,inv(e2))
& unit = op(inv(e1),e1)
& unit = op(e1,inv(e1))
& unit = op(inv(e0),e0)
& unit = op(e0,inv(e0))
& ( e3 = unit
| e2 = unit
| e1 = unit
| e0 = unit )
& e3 = op(e3,unit)
& e3 = op(unit,e3)
& e2 = op(e2,unit)
& e2 = op(unit,e2)
& e1 = op(e1,unit)
& e1 = op(unit,e1)
& e0 = op(e0,unit)
& e0 = op(unit,e0)
& op(op(e3,e3),e3) = op(e3,op(e3,e3))
& op(op(e3,e3),e2) = op(e3,op(e3,e2))
& op(op(e3,e3),e1) = op(e3,op(e3,e1))
& op(op(e3,e3),e0) = op(e3,op(e3,e0))
& op(op(e3,e2),e3) = op(e3,op(e2,e3))
& op(op(e3,e2),e2) = op(e3,op(e2,e2))
& op(op(e3,e2),e1) = op(e3,op(e2,e1))
& op(op(e3,e2),e0) = op(e3,op(e2,e0))
& op(op(e3,e1),e3) = op(e3,op(e1,e3))
& op(op(e3,e1),e2) = op(e3,op(e1,e2))
& op(op(e3,e1),e1) = op(e3,op(e1,e1))
& op(op(e3,e1),e0) = op(e3,op(e1,e0))
& op(op(e3,e0),e3) = op(e3,op(e0,e3))
& op(op(e3,e0),e2) = op(e3,op(e0,e2))
& op(op(e3,e0),e1) = op(e3,op(e0,e1))
& op(op(e3,e0),e0) = op(e3,op(e0,e0))
& op(op(e2,e3),e3) = op(e2,op(e3,e3))
& op(op(e2,e3),e2) = op(e2,op(e3,e2))
& op(op(e2,e3),e1) = op(e2,op(e3,e1))
& op(op(e2,e3),e0) = op(e2,op(e3,e0))
& op(op(e2,e2),e3) = op(e2,op(e2,e3))
& op(op(e2,e2),e2) = op(e2,op(e2,e2))
& op(op(e2,e2),e1) = op(e2,op(e2,e1))
& op(op(e2,e2),e0) = op(e2,op(e2,e0))
& op(op(e2,e1),e3) = op(e2,op(e1,e3))
& op(op(e2,e1),e2) = op(e2,op(e1,e2))
& op(op(e2,e1),e1) = op(e2,op(e1,e1))
& op(op(e2,e1),e0) = op(e2,op(e1,e0))
& op(op(e2,e0),e3) = op(e2,op(e0,e3))
& op(op(e2,e0),e2) = op(e2,op(e0,e2))
& op(op(e2,e0),e1) = op(e2,op(e0,e1))
& op(op(e2,e0),e0) = op(e2,op(e0,e0))
& op(op(e1,e3),e3) = op(e1,op(e3,e3))
& op(op(e1,e3),e2) = op(e1,op(e3,e2))
& op(op(e1,e3),e1) = op(e1,op(e3,e1))
& op(op(e1,e3),e0) = op(e1,op(e3,e0))
& op(op(e1,e2),e3) = op(e1,op(e2,e3))
& op(op(e1,e2),e2) = op(e1,op(e2,e2))
& op(op(e1,e2),e1) = op(e1,op(e2,e1))
& op(op(e1,e2),e0) = op(e1,op(e2,e0))
& op(op(e1,e1),e3) = op(e1,op(e1,e3))
& op(op(e1,e1),e2) = op(e1,op(e1,e2))
& op(op(e1,e1),e1) = op(e1,op(e1,e1))
& op(op(e1,e1),e0) = op(e1,op(e1,e0))
& op(op(e1,e0),e3) = op(e1,op(e0,e3))
& op(op(e1,e0),e2) = op(e1,op(e0,e2))
& op(op(e1,e0),e1) = op(e1,op(e0,e1))
& op(op(e1,e0),e0) = op(e1,op(e0,e0))
& op(op(e0,e3),e3) = op(e0,op(e3,e3))
& op(op(e0,e3),e2) = op(e0,op(e3,e2))
& op(op(e0,e3),e1) = op(e0,op(e3,e1))
& op(op(e0,e3),e0) = op(e0,op(e3,e0))
& op(op(e0,e2),e3) = op(e0,op(e2,e3))
& op(op(e0,e2),e2) = op(e0,op(e2,e2))
& op(op(e0,e2),e1) = op(e0,op(e2,e1))
& op(op(e0,e2),e0) = op(e0,op(e2,e0))
& op(op(e0,e1),e3) = op(e0,op(e1,e3))
& op(op(e0,e1),e2) = op(e0,op(e1,e2))
& op(op(e0,e1),e1) = op(e0,op(e1,e1))
& op(op(e0,e1),e0) = op(e0,op(e1,e0))
& op(op(e0,e0),e3) = op(e0,op(e0,e3))
& op(op(e0,e0),e2) = op(e0,op(e0,e2))
& op(op(e0,e0),e1) = op(e0,op(e0,e1))
& op(op(e0,e0),e0) = op(e0,op(e0,e0))
& ( e3 = op(e3,e3)
| e2 = op(e3,e3)
| e1 = op(e3,e3)
| e0 = op(e3,e3) )
& ( e3 = op(e3,e2)
| e2 = op(e3,e2)
| e1 = op(e3,e2)
| e0 = op(e3,e2) )
& ( e3 = op(e3,e1)
| e2 = op(e3,e1)
| e1 = op(e3,e1)
| e0 = op(e3,e1) )
& ( e3 = op(e3,e0)
| e2 = op(e3,e0)
| e1 = op(e3,e0)
| e0 = op(e3,e0) )
& ( e3 = op(e2,e3)
| e2 = op(e2,e3)
| e1 = op(e2,e3)
| e0 = op(e2,e3) )
& ( e3 = op(e2,e2)
| e2 = op(e2,e2)
| e1 = op(e2,e2)
| e0 = op(e2,e2) )
& ( e3 = op(e2,e1)
| e2 = op(e2,e1)
| e1 = op(e2,e1)
| e0 = op(e2,e1) )
& ( e3 = op(e2,e0)
| e2 = op(e2,e0)
| e1 = op(e2,e0)
| e0 = op(e2,e0) )
& ( e3 = op(e1,e3)
| e2 = op(e1,e3)
| e1 = op(e1,e3)
| e0 = op(e1,e3) )
& ( e3 = op(e1,e2)
| e2 = op(e1,e2)
| e1 = op(e1,e2)
| e0 = op(e1,e2) )
& ( e3 = op(e1,e1)
| e2 = op(e1,e1)
| e1 = op(e1,e1)
| e0 = op(e1,e1) )
& ( e3 = op(e1,e0)
| e2 = op(e1,e0)
| e1 = op(e1,e0)
| e0 = op(e1,e0) )
& ( e3 = op(e0,e3)
| e2 = op(e0,e3)
| e1 = op(e0,e3)
| e0 = op(e0,e3) )
& ( e3 = op(e0,e2)
| e2 = op(e0,e2)
| e1 = op(e0,e2)
| e0 = op(e0,e2) )
& ( e3 = op(e0,e1)
| e2 = op(e0,e1)
| e1 = op(e0,e1)
| e0 = op(e0,e1) )
& ( e3 = op(e0,e0)
| e2 = op(e0,e0)
| e1 = op(e0,e0)
| e0 = op(e0,e0) )
& ( ( e3 = op(e3,e3)
& e3 = op(e2,e2)
& e3 = op(e1,e1)
& e3 = op(e0,e0) )
| ( e2 = op(e3,e3)
& e2 = op(e2,e2)
& e2 = op(e1,e1)
& e2 = op(e0,e0) )
| ( e1 = op(e3,e3)
& e1 = op(e2,e2)
& e1 = op(e1,e1)
& e1 = op(e0,e0) )
| ( e0 = op(e3,e3)
& e0 = op(e2,e2)
& e0 = op(e1,e1)
& e0 = op(e0,e0) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.XRRIrptDiP/Vampire---4.8_23263',co1) ).
fof(f720,plain,
( ~ spl21_100
| ~ spl21_99
| ~ spl21_74
| ~ spl21_49
| ~ spl21_24 ),
inference(avatar_split_clause,[],[f213,f349,f469,f589,f709,f714]) ).
fof(f213,plain,
( op(e3,e3) != unit
| op(e2,e2) != unit
| op(e1,e1) != unit
| unit != op(unit,unit)
| ~ sP0 ),
inference(definition_unfolding,[],[f131,f143,f143,f143,f143,f143,f143]) ).
fof(f131,plain,
( e0 != op(e3,e3)
| e0 != op(e2,e2)
| e0 != op(e1,e1)
| e0 != op(e0,e0)
| ~ sP0 ),
inference(cnf_transformation,[],[f50]) ).
fof(f50,plain,
( ( ( e3 != op(e3,e3)
| e3 != op(e2,e2)
| e3 != op(e1,e1)
| e3 != op(e0,e0) )
& ( e2 != op(e3,e3)
| e2 != op(e2,e2)
| e2 != op(e1,e1)
| e2 != op(e0,e0) )
& ( e1 != op(e3,e3)
| e1 != op(e2,e2)
| e1 != op(e1,e1)
| e1 != op(e0,e0) )
& ( e0 != op(e3,e3)
| e0 != op(e2,e2)
| e0 != op(e1,e1)
| e0 != op(e0,e0) ) )
| ~ sP0 ),
inference(nnf_transformation,[],[f8]) ).
fof(f712,plain,
( ~ spl21_95
| ~ spl21_99 ),
inference(avatar_split_clause,[],[f209,f709,f690]) ).
fof(f209,plain,
( unit != op(unit,unit)
| ~ sP1 ),
inference(definition_unfolding,[],[f127,f143,f143,f143]) ).
fof(f127,plain,
( e0 != op(e0,e0)
| ~ sP1 ),
inference(cnf_transformation,[],[f49]) ).
fof(f49,plain,
( ( e3 != op(e0,e0)
& e2 != op(e0,e0)
& e1 != op(e0,e0)
& e0 != op(e0,e0) )
| ~ sP1 ),
inference(nnf_transformation,[],[f9]) ).
fof(f683,plain,
( ~ spl21_90
| ~ spl21_93 ),
inference(avatar_split_clause,[],[f204,f680,f666]) ).
fof(f204,plain,
( e1 != op(unit,e1)
| ~ sP2 ),
inference(definition_unfolding,[],[f124,f143]) ).
fof(f124,plain,
( e1 != op(e0,e1)
| ~ sP2 ),
inference(cnf_transformation,[],[f48]) ).
fof(f48,plain,
( ( e3 != op(e0,e1)
& e2 != op(e0,e1)
& e1 != op(e0,e1)
& e0 != op(e0,e1) )
| ~ sP2 ),
inference(nnf_transformation,[],[f10]) ).
fof(f654,plain,
( ~ spl21_85
| ~ spl21_87 ),
inference(avatar_split_clause,[],[f199,f651,f642]) ).
fof(f199,plain,
( e2 != op(unit,e2)
| ~ sP3 ),
inference(definition_unfolding,[],[f121,f143]) ).
fof(f121,plain,
( e2 != op(e0,e2)
| ~ sP3 ),
inference(cnf_transformation,[],[f47]) ).
fof(f47,plain,
( ( e3 != op(e0,e2)
& e2 != op(e0,e2)
& e1 != op(e0,e2)
& e0 != op(e0,e2) )
| ~ sP3 ),
inference(nnf_transformation,[],[f11]) ).
fof(f625,plain,
( ~ spl21_80
| ~ spl21_81 ),
inference(avatar_split_clause,[],[f194,f622,f618]) ).
fof(f194,plain,
( e3 != op(unit,e3)
| ~ sP4 ),
inference(definition_unfolding,[],[f118,f143]) ).
fof(f118,plain,
( e3 != op(e0,e3)
| ~ sP4 ),
inference(cnf_transformation,[],[f46]) ).
fof(f46,plain,
( ( e3 != op(e0,e3)
& e2 != op(e0,e3)
& e1 != op(e0,e3)
& e0 != op(e0,e3) )
| ~ sP4 ),
inference(nnf_transformation,[],[f12]) ).
fof(f611,plain,
( ~ spl21_75
| ~ spl21_78 ),
inference(avatar_split_clause,[],[f192,f608,f594]) ).
fof(f192,plain,
( e1 != op(e1,unit)
| ~ sP5 ),
inference(definition_unfolding,[],[f112,f143]) ).
fof(f112,plain,
( e1 != op(e1,e0)
| ~ sP5 ),
inference(cnf_transformation,[],[f45]) ).
fof(f45,plain,
( ( e3 != op(e1,e0)
& e2 != op(e1,e0)
& e1 != op(e1,e0)
& e0 != op(e1,e0) )
| ~ sP5 ),
inference(nnf_transformation,[],[f13]) ).
fof(f592,plain,
( ~ spl21_70
| ~ spl21_74 ),
inference(avatar_split_clause,[],[f189,f589,f570]) ).
fof(f189,plain,
( op(e1,e1) != unit
| ~ sP6 ),
inference(definition_unfolding,[],[f107,f143]) ).
fof(f107,plain,
( e0 != op(e1,e1)
| ~ sP6 ),
inference(cnf_transformation,[],[f44]) ).
fof(f44,plain,
( ( e3 != op(e1,e1)
& e2 != op(e1,e1)
& e1 != op(e1,e1)
& e0 != op(e1,e1) )
| ~ sP6 ),
inference(nnf_transformation,[],[f14]) ).
fof(f553,plain,
( ~ spl21_65
| ~ spl21_66 ),
inference(avatar_split_clause,[],[f106,f550,f546]) ).
fof(f106,plain,
( e3 != op(e1,e2)
| ~ sP7 ),
inference(cnf_transformation,[],[f43]) ).
fof(f43,plain,
( ( e3 != op(e1,e2)
& e2 != op(e1,e2)
& e1 != op(e1,e2)
& e0 != op(e1,e2) )
| ~ sP7 ),
inference(nnf_transformation,[],[f15]) ).
fof(f534,plain,
( ~ spl21_60
| ~ spl21_62 ),
inference(avatar_split_clause,[],[f101,f531,f522]) ).
fof(f101,plain,
( e2 != op(e1,e3)
| ~ sP8 ),
inference(cnf_transformation,[],[f42]) ).
fof(f42,plain,
( ( e3 != op(e1,e3)
& e2 != op(e1,e3)
& e1 != op(e1,e3)
& e0 != op(e1,e3) )
| ~ sP8 ),
inference(nnf_transformation,[],[f16]) ).
fof(f510,plain,
( ~ spl21_55
| ~ spl21_57 ),
inference(avatar_split_clause,[],[f184,f507,f498]) ).
fof(f184,plain,
( e2 != op(e2,unit)
| ~ sP9 ),
inference(definition_unfolding,[],[f97,f143]) ).
fof(f97,plain,
( e2 != op(e2,e0)
| ~ sP9 ),
inference(cnf_transformation,[],[f41]) ).
fof(f41,plain,
( ( e3 != op(e2,e0)
& e2 != op(e2,e0)
& e1 != op(e2,e0)
& e0 != op(e2,e0) )
| ~ sP9 ),
inference(nnf_transformation,[],[f17]) ).
fof(f481,plain,
( ~ spl21_50
| ~ spl21_51 ),
inference(avatar_split_clause,[],[f94,f478,f474]) ).
fof(f94,plain,
( e3 != op(e2,e1)
| ~ sP10 ),
inference(cnf_transformation,[],[f40]) ).
fof(f40,plain,
( ( e3 != op(e2,e1)
& e2 != op(e2,e1)
& e1 != op(e2,e1)
& e0 != op(e2,e1) )
| ~ sP10 ),
inference(nnf_transformation,[],[f18]) ).
fof(f472,plain,
( ~ spl21_45
| ~ spl21_49 ),
inference(avatar_split_clause,[],[f181,f469,f450]) ).
fof(f181,plain,
( op(e2,e2) != unit
| ~ sP11 ),
inference(definition_unfolding,[],[f87,f143]) ).
fof(f87,plain,
( e0 != op(e2,e2)
| ~ sP11 ),
inference(cnf_transformation,[],[f39]) ).
fof(f39,plain,
( ( e3 != op(e2,e2)
& e2 != op(e2,e2)
& e1 != op(e2,e2)
& e0 != op(e2,e2) )
| ~ sP11 ),
inference(nnf_transformation,[],[f19]) ).
fof(f443,plain,
( ~ spl21_40
| ~ spl21_43 ),
inference(avatar_split_clause,[],[f84,f440,f426]) ).
fof(f84,plain,
( e1 != op(e2,e3)
| ~ sP12 ),
inference(cnf_transformation,[],[f38]) ).
fof(f38,plain,
( ( e3 != op(e2,e3)
& e2 != op(e2,e3)
& e1 != op(e2,e3)
& e0 != op(e2,e3) )
| ~ sP12 ),
inference(nnf_transformation,[],[f20]) ).
fof(f409,plain,
( ~ spl21_35
| ~ spl21_36 ),
inference(avatar_split_clause,[],[f176,f406,f402]) ).
fof(f176,plain,
( e3 != op(e3,unit)
| ~ sP13 ),
inference(definition_unfolding,[],[f82,f143]) ).
fof(f82,plain,
( e3 != op(e3,e0)
| ~ sP13 ),
inference(cnf_transformation,[],[f37]) ).
fof(f37,plain,
( ( e3 != op(e3,e0)
& e2 != op(e3,e0)
& e1 != op(e3,e0)
& e0 != op(e3,e0) )
| ~ sP13 ),
inference(nnf_transformation,[],[f21]) ).
fof(f390,plain,
( ~ spl21_30
| ~ spl21_32 ),
inference(avatar_split_clause,[],[f77,f387,f378]) ).
fof(f77,plain,
( e2 != op(e3,e1)
| ~ sP14 ),
inference(cnf_transformation,[],[f36]) ).
fof(f36,plain,
( ( e3 != op(e3,e1)
& e2 != op(e3,e1)
& e1 != op(e3,e1)
& e0 != op(e3,e1) )
| ~ sP14 ),
inference(nnf_transformation,[],[f22]) ).
fof(f371,plain,
( ~ spl21_25
| ~ spl21_28 ),
inference(avatar_split_clause,[],[f72,f368,f354]) ).
fof(f72,plain,
( e1 != op(e3,e2)
| ~ sP15 ),
inference(cnf_transformation,[],[f35]) ).
fof(f35,plain,
( ( e3 != op(e3,e2)
& e2 != op(e3,e2)
& e1 != op(e3,e2)
& e0 != op(e3,e2) )
| ~ sP15 ),
inference(nnf_transformation,[],[f23]) ).
fof(f352,plain,
( ~ spl21_20
| ~ spl21_24 ),
inference(avatar_split_clause,[],[f173,f349,f330]) ).
fof(f173,plain,
( op(e3,e3) != unit
| ~ sP16 ),
inference(definition_unfolding,[],[f67,f143]) ).
fof(f67,plain,
( e0 != op(e3,e3)
| ~ sP16 ),
inference(cnf_transformation,[],[f34]) ).
fof(f34,plain,
( ( e3 != op(e3,e3)
& e2 != op(e3,e3)
& e1 != op(e3,e3)
& e0 != op(e3,e3) )
| ~ sP16 ),
inference(nnf_transformation,[],[f24]) ).
fof(f328,plain,
~ spl21_16,
inference(avatar_split_clause,[],[f236,f310]) ).
fof(f236,plain,
~ sP17,
inference(trivial_inequality_removal,[],[f172]) ).
fof(f172,plain,
( unit != unit
| ~ sP17 ),
inference(definition_unfolding,[],[f63,f143]) ).
fof(f63,plain,
( e0 != unit
| ~ sP17 ),
inference(cnf_transformation,[],[f33]) ).
fof(f33,plain,
( ( e3 != unit
& e2 != unit
& e1 != unit
& e0 != unit )
| ~ sP17 ),
inference(nnf_transformation,[],[f25]) ).
fof(f308,plain,
( ~ spl21_11
| ~ spl21_15 ),
inference(avatar_split_clause,[],[f171,f305,f286]) ).
fof(f171,plain,
( unit != inv(unit)
| ~ sP18 ),
inference(definition_unfolding,[],[f59,f143,f143]) ).
fof(f59,plain,
( e0 != inv(e0)
| ~ sP18 ),
inference(cnf_transformation,[],[f32]) ).
fof(f32,plain,
( ( e3 != inv(e0)
& e2 != inv(e0)
& e1 != inv(e0)
& e0 != inv(e0) )
| ~ sP18 ),
inference(nnf_transformation,[],[f26]) ).
fof(f279,plain,
( ~ spl21_6
| ~ spl21_9 ),
inference(avatar_split_clause,[],[f56,f276,f262]) ).
fof(f56,plain,
( e1 != inv(e1)
| ~ sP19 ),
inference(cnf_transformation,[],[f31]) ).
fof(f31,plain,
( ( e3 != inv(e1)
& e2 != inv(e1)
& e1 != inv(e1)
& e0 != inv(e1) )
| ~ sP19 ),
inference(nnf_transformation,[],[f27]) ).
fof(f250,plain,
( ~ spl21_1
| ~ spl21_3 ),
inference(avatar_split_clause,[],[f53,f247,f238]) ).
fof(f53,plain,
( e2 != inv(e2)
| ~ sP20 ),
inference(cnf_transformation,[],[f30]) ).
fof(f30,plain,
( ( e3 != inv(e2)
& e2 != inv(e2)
& e1 != inv(e2)
& e0 != inv(e2) )
| ~ sP20 ),
inference(nnf_transformation,[],[f28]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.14 % Problem : ALG021+1 : TPTP v8.1.2. Released v2.7.0.
% 0.03/0.16 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.14/0.36 % Computer : n026.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Fri May 3 19:59:23 EDT 2024
% 0.14/0.37 % CPUTime :
% 0.14/0.37 This is a FOF_THM_RFO_PEQ problem
% 0.14/0.37 Running vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox2/tmp/tmp.XRRIrptDiP/Vampire---4.8_23263
% 0.55/0.75 % (23371)dis-1011_2:1_sil=2000:lsd=20:nwc=5.0:flr=on:mep=off:st=3.0:i=34:sd=1:ep=RS:ss=axioms_0 on Vampire---4 for (2996ds/34Mi)
% 0.55/0.75 % (23373)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.55/0.75 % (23374)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on Vampire---4 for (2996ds/33Mi)
% 0.55/0.75 % (23375)lrs+2_1:1_sil=16000:fde=none:sos=all:nwc=5.0:i=34:ep=RS:s2pl=on:lma=on:afp=100000_0 on Vampire---4 for (2996ds/34Mi)
% 0.55/0.75 % (23372)lrs+1011_461:32768_sil=16000:irw=on:sp=frequency:lsd=20:fd=preordered:nwc=10.0:s2agt=32:alpa=false:cond=fast:s2a=on:i=51:s2at=3.0:awrs=decay:awrsf=691:bd=off:nm=20:fsr=off:amm=sco:uhcvi=on:rawr=on_0 on Vampire---4 for (2996ds/51Mi)
% 0.55/0.75 % (23376)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on Vampire---4 for (2996ds/45Mi)
% 0.55/0.75 % (23378)lrs-21_1:1_to=lpo:sil=2000:sp=frequency:sos=on:lma=on:i=56:sd=2:ss=axioms:ep=R_0 on Vampire---4 for (2996ds/56Mi)
% 0.55/0.75 % (23377)lrs+21_1:5_sil=2000:sos=on:urr=on:newcnf=on:slsq=on:i=83:slsql=off:bd=off:nm=2:ss=axioms:st=1.5:sp=const_min:gsp=on:rawr=on_0 on Vampire---4 for (2996ds/83Mi)
% 0.55/0.76 % (23371)Refutation not found, incomplete strategy% (23371)------------------------------
% 0.55/0.76 % (23371)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.55/0.76 % (23371)Termination reason: Refutation not found, incomplete strategy
% 0.55/0.76
% 0.55/0.76 % (23371)Memory used [KB]: 1416
% 0.55/0.76 % (23371)Time elapsed: 0.008 s
% 0.55/0.76 % (23371)Instructions burned: 25 (million)
% 0.55/0.76 % (23371)------------------------------
% 0.55/0.76 % (23371)------------------------------
% 0.56/0.76 % (23375)Refutation not found, incomplete strategy% (23375)------------------------------
% 0.56/0.76 % (23375)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.76 % (23375)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.76 % (23379)lrs+21_1:16_sil=2000:sp=occurrence:urr=on:flr=on:i=55:sd=1:nm=0:ins=3:ss=included:rawr=on:br=off_0 on Vampire---4 for (2996ds/55Mi)
% 0.56/0.76
% 0.56/0.76 % (23375)Memory used [KB]: 1257
% 0.56/0.76 % (23375)Time elapsed: 0.011 s
% 0.56/0.76 % (23375)Instructions burned: 25 (million)
% 0.56/0.76 % (23375)------------------------------
% 0.56/0.76 % (23375)------------------------------
% 0.56/0.76 % (23374)Instruction limit reached!
% 0.56/0.76 % (23374)------------------------------
% 0.56/0.76 % (23374)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.76 % (23374)Termination reason: Unknown
% 0.56/0.76 % (23374)Termination phase: Saturation
% 0.56/0.76
% 0.56/0.76 % (23374)Memory used [KB]: 1682
% 0.56/0.76 % (23374)Time elapsed: 0.015 s
% 0.56/0.76 % (23374)Instructions burned: 33 (million)
% 0.56/0.76 % (23374)------------------------------
% 0.56/0.76 % (23374)------------------------------
% 0.56/0.76 % (23378)Refutation not found, incomplete strategy% (23378)------------------------------
% 0.56/0.76 % (23378)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.76 % (23378)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.76
% 0.56/0.76 % (23378)Memory used [KB]: 1361
% 0.56/0.76 % (23378)Time elapsed: 0.015 s
% 0.56/0.76 % (23378)Instructions burned: 35 (million)
% 0.56/0.76 % (23378)------------------------------
% 0.56/0.76 % (23378)------------------------------
% 0.56/0.77 % (23373)First to succeed.
% 0.56/0.77 % (23380)dis+3_25:4_sil=16000:sos=all:erd=off:i=50:s2at=4.0:bd=off:nm=60:sup=off:cond=on:av=off:ins=2:nwc=10.0:etr=on:to=lpo:s2agt=20:fd=off:bsr=unit_only:slsq=on:slsqr=28,19:awrs=converge:awrsf=500:tgt=ground:bs=unit_only_0 on Vampire---4 for (2996ds/50Mi)
% 0.56/0.77 % (23376)Instruction limit reached!
% 0.56/0.77 % (23376)------------------------------
% 0.56/0.77 % (23376)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.77 % (23376)Termination reason: Unknown
% 0.56/0.77 % (23376)Termination phase: Saturation
% 0.56/0.77
% 0.56/0.77 % (23376)Memory used [KB]: 1212
% 0.56/0.77 % (23376)Time elapsed: 0.018 s
% 0.56/0.77 % (23376)Instructions burned: 45 (million)
% 0.56/0.77 % (23376)------------------------------
% 0.56/0.77 % (23376)------------------------------
% 0.56/0.77 % (23382)lrs-1011_1:1_sil=4000:plsq=on:plsqr=32,1:sp=frequency:plsql=on:nwc=10.0:i=52:aac=none:afr=on:ss=axioms:er=filter:sgt=16:rawr=on:etr=on:lma=on_0 on Vampire---4 for (2996ds/52Mi)
% 0.56/0.77 % (23372)Instruction limit reached!
% 0.56/0.77 % (23372)------------------------------
% 0.56/0.77 % (23372)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.77 % (23372)Termination reason: Unknown
% 0.56/0.77 % (23372)Termination phase: Saturation
% 0.56/0.77
% 0.56/0.77 % (23372)Memory used [KB]: 1211
% 0.56/0.77 % (23372)Time elapsed: 0.021 s
% 0.56/0.77 % (23372)Instructions burned: 51 (million)
% 0.56/0.77 % (23372)------------------------------
% 0.56/0.77 % (23372)------------------------------
% 0.56/0.77 % (23383)lrs-1010_1:1_to=lpo:sil=2000:sp=reverse_arity:sos=on:urr=ec_only:i=518:sd=2:bd=off:ss=axioms:sgt=16_0 on Vampire---4 for (2996ds/518Mi)
% 0.56/0.77 % (23381)lrs+1010_1:2_sil=4000:tgt=ground:nwc=10.0:st=2.0:i=208:sd=1:bd=off:ss=axioms_0 on Vampire---4 for (2996ds/208Mi)
% 0.56/0.77 % (23384)lrs+1011_87677:1048576_sil=8000:sos=on:spb=non_intro:nwc=10.0:kmz=on:i=42:ep=RS:nm=0:ins=1:uhcvi=on:rawr=on:fde=unused:afp=2000:afq=1.444:plsq=on:nicw=on_0 on Vampire---4 for (2996ds/42Mi)
% 0.56/0.78 % (23373)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-23370"
% 0.56/0.78 % (23373)Refutation found. Thanks to Tanya!
% 0.56/0.78 % SZS status Theorem for Vampire---4
% 0.56/0.78 % SZS output start Proof for Vampire---4
% See solution above
% 0.56/0.78 % (23373)------------------------------
% 0.56/0.78 % (23373)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.78 % (23373)Termination reason: Refutation
% 0.56/0.78
% 0.56/0.78 % (23373)Memory used [KB]: 1552
% 0.56/0.78 % (23373)Time elapsed: 0.026 s
% 0.56/0.78 % (23373)Instructions burned: 59 (million)
% 0.56/0.78 % (23370)Success in time 0.393 s
% 0.56/0.78 % Vampire---4.8 exiting
%------------------------------------------------------------------------------