TSTP Solution File: ALG021+1 by SnakeForV---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : ALG021+1 : TPTP v8.1.0. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% Computer : n017.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Aug 31 15:38:50 EDT 2022
% Result : Theorem 1.54s 0.60s
% Output : Refutation 1.54s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 138
% Syntax : Number of formulae : 680 ( 56 unt; 0 def)
% Number of atoms : 3167 (1503 equ)
% Maximal formula atoms : 180 ( 4 avg)
% Number of connectives : 4412 (1925 ~;1935 |; 439 &)
% ( 113 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 103 ( 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,[],[f251,f265,f300,f301,f302,f330,f348,f724,f735,f761,f767,f778,f799,f805,f806,f812,f833,f839,f844,f860,f890,f895,f901,f902,f903,f908,f914,f915,f916,f931,f937,f943,f996,f997,f1008,f1010,f1011,f1017,f1029,f1039,f1040,f1050,f1053,f1057,f1062,f1069,f1077,f1081,f1091,f1096,f1103,f1111,f1116,f1122,f1130,f1136,f1147,f1150,f1159,f1167,f1172,f1183,f1188,f1199,f1206,f1211,f1219,f1226,f1229,f1237,f1242,f1247,f1257,f1264,f1268,f1274,f1279,f1283,f1290,f1294,f1300,f1303,f1311,f1319,f1327,f1332,f1339,f1347,f1352,f1360,f1366,f1370,f1380,f1388,f1396,f1399,f1408,f1414,f1419,f1424,f1434,f1441,f1445,f1451,f1459,f1464,f1473,f1478,f1483,f1492,f1496,f1504,f1509,f1517]) ).
fof(f1517,plain,
( ~ spl21_25
| ~ spl21_32
| ~ spl21_47
| spl21_115 ),
inference(avatar_contradiction_clause,[],[f1516]) ).
fof(f1516,plain,
( $false
| ~ spl21_25
| ~ spl21_32
| ~ spl21_47
| spl21_115 ),
inference(subsumption_resolution,[],[f1515,f435]) ).
fof(f435,plain,
( e3 = op(e3,unit)
| ~ spl21_47 ),
inference(avatar_component_clause,[],[f434]) ).
fof(f434,plain,
( spl21_47
<=> e3 = op(e3,unit) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_47])]) ).
fof(f1515,plain,
( e3 != op(e3,unit)
| ~ spl21_25
| ~ spl21_32
| spl21_115 ),
inference(forward_demodulation,[],[f1514,f346]) ).
fof(f346,plain,
( e3 = op(e2,e1)
| ~ spl21_25 ),
inference(avatar_component_clause,[],[f345]) ).
fof(f345,plain,
( spl21_25
<=> e3 = op(e2,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_25])]) ).
fof(f1514,plain,
( op(e2,e1) != op(op(e2,e1),unit)
| ~ spl21_32
| spl21_115 ),
inference(forward_demodulation,[],[f708,f375]) ).
fof(f375,plain,
( e1 = op(e1,unit)
| ~ spl21_32 ),
inference(avatar_component_clause,[],[f374]) ).
fof(f374,plain,
( spl21_32
<=> e1 = op(e1,unit) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_32])]) ).
fof(f708,plain,
( op(op(e2,e1),unit) != op(e2,op(e1,unit))
| spl21_115 ),
inference(avatar_component_clause,[],[f706]) ).
fof(f706,plain,
( spl21_115
<=> op(op(e2,e1),unit) = op(e2,op(e1,unit)) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_115])]) ).
fof(f1509,plain,
( ~ spl21_32
| ~ spl21_107
| spl21_114 ),
inference(avatar_contradiction_clause,[],[f1508]) ).
fof(f1508,plain,
( $false
| ~ spl21_32
| ~ spl21_107
| spl21_114 ),
inference(trivial_inequality_removal,[],[f1507]) ).
fof(f1507,plain,
( op(e1,e3) != op(e1,e3)
| ~ spl21_32
| ~ spl21_107
| spl21_114 ),
inference(forward_demodulation,[],[f1506,f675]) ).
fof(f675,plain,
( e3 = op(unit,e3)
| ~ spl21_107 ),
inference(avatar_component_clause,[],[f674]) ).
fof(f674,plain,
( spl21_107
<=> e3 = op(unit,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_107])]) ).
fof(f1506,plain,
( op(e1,e3) != op(e1,op(unit,e3))
| ~ spl21_32
| spl21_114 ),
inference(forward_demodulation,[],[f704,f375]) ).
fof(f704,plain,
( op(e1,op(unit,e3)) != op(op(e1,unit),e3)
| spl21_114 ),
inference(avatar_component_clause,[],[f702]) ).
fof(f702,plain,
( spl21_114
<=> op(e1,op(unit,e3)) = op(op(e1,unit),e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_114])]) ).
fof(f1504,plain,
( ~ spl21_7
| ~ spl21_25
| spl21_113
| ~ spl21_140
| ~ spl21_149 ),
inference(avatar_contradiction_clause,[],[f1503]) ).
fof(f1503,plain,
( $false
| ~ spl21_7
| ~ spl21_25
| spl21_113
| ~ spl21_140
| ~ spl21_149 ),
inference(subsumption_resolution,[],[f1502,f263]) ).
fof(f263,plain,
( e3 = op(e1,e2)
| ~ spl21_7 ),
inference(avatar_component_clause,[],[f262]) ).
fof(f262,plain,
( spl21_7
<=> e3 = op(e1,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_7])]) ).
fof(f1502,plain,
( e3 != op(e1,e2)
| ~ spl21_25
| spl21_113
| ~ spl21_140
| ~ spl21_149 ),
inference(forward_demodulation,[],[f1501,f346]) ).
fof(f1501,plain,
( op(e1,e2) != op(e2,e1)
| spl21_113
| ~ spl21_140
| ~ spl21_149 ),
inference(forward_demodulation,[],[f1500,f888]) ).
fof(f888,plain,
( e1 = op(e2,e3)
| ~ spl21_149 ),
inference(avatar_component_clause,[],[f887]) ).
fof(f887,plain,
( spl21_149
<=> e1 = op(e2,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_149])]) ).
fof(f1500,plain,
( op(e2,e1) != op(op(e2,e3),e2)
| spl21_113
| ~ spl21_140 ),
inference(forward_demodulation,[],[f700,f842]) ).
fof(f842,plain,
( e1 = op(e3,e2)
| ~ spl21_140 ),
inference(avatar_component_clause,[],[f841]) ).
fof(f841,plain,
( spl21_140
<=> e1 = op(e3,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_140])]) ).
fof(f700,plain,
( op(op(e2,e3),e2) != op(e2,op(e3,e2))
| spl21_113 ),
inference(avatar_component_clause,[],[f698]) ).
fof(f698,plain,
( spl21_113
<=> op(op(e2,e3),e2) = op(e2,op(e3,e2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_113])]) ).
fof(f1496,plain,
( ~ spl21_29
| ~ spl21_42
| spl21_112 ),
inference(avatar_contradiction_clause,[],[f1495]) ).
fof(f1495,plain,
( $false
| ~ spl21_29
| ~ spl21_42
| spl21_112 ),
inference(trivial_inequality_removal,[],[f1494]) ).
fof(f1494,plain,
( op(e2,e1) != op(e2,e1)
| ~ spl21_29
| ~ spl21_42
| spl21_112 ),
inference(forward_demodulation,[],[f1493,f363]) ).
fof(f363,plain,
( e2 = op(e2,unit)
| ~ spl21_29 ),
inference(avatar_component_clause,[],[f362]) ).
fof(f362,plain,
( spl21_29
<=> e2 = op(e2,unit) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_29])]) ).
fof(f1493,plain,
( op(e2,e1) != op(op(e2,unit),e1)
| ~ spl21_42
| spl21_112 ),
inference(forward_demodulation,[],[f696,f415]) ).
fof(f415,plain,
( e1 = op(unit,e1)
| ~ spl21_42 ),
inference(avatar_component_clause,[],[f414]) ).
fof(f414,plain,
( spl21_42
<=> e1 = op(unit,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_42])]) ).
fof(f696,plain,
( op(op(e2,unit),e1) != op(e2,op(unit,e1))
| spl21_112 ),
inference(avatar_component_clause,[],[f694]) ).
fof(f694,plain,
( spl21_112
<=> op(op(e2,unit),e1) = op(e2,op(unit,e1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_112])]) ).
fof(f1492,plain,
( ~ spl21_12
| ~ spl21_13
| ~ spl21_25
| spl21_110
| ~ spl21_140 ),
inference(avatar_contradiction_clause,[],[f1491]) ).
fof(f1491,plain,
( $false
| ~ spl21_12
| ~ spl21_13
| ~ spl21_25
| spl21_110
| ~ spl21_140 ),
inference(subsumption_resolution,[],[f1490,f290]) ).
fof(f290,plain,
( op(e1,e1) = unit
| ~ spl21_13 ),
inference(avatar_component_clause,[],[f289]) ).
fof(f289,plain,
( spl21_13
<=> op(e1,e1) = unit ),
introduced(avatar_definition,[new_symbols(naming,[spl21_13])]) ).
fof(f1490,plain,
( op(e1,e1) != unit
| ~ spl21_12
| ~ spl21_25
| spl21_110
| ~ spl21_140 ),
inference(forward_demodulation,[],[f1489,f286]) ).
fof(f286,plain,
( op(e3,e3) = unit
| ~ spl21_12 ),
inference(avatar_component_clause,[],[f285]) ).
fof(f285,plain,
( spl21_12
<=> op(e3,e3) = unit ),
introduced(avatar_definition,[new_symbols(naming,[spl21_12])]) ).
fof(f1489,plain,
( op(e1,e1) != op(e3,e3)
| ~ spl21_25
| spl21_110
| ~ spl21_140 ),
inference(forward_demodulation,[],[f1488,f842]) ).
fof(f1488,plain,
( op(e3,e3) != op(op(e3,e2),e1)
| ~ spl21_25
| spl21_110 ),
inference(forward_demodulation,[],[f688,f346]) ).
fof(f688,plain,
( op(op(e3,e2),e1) != op(e3,op(e2,e1))
| spl21_110 ),
inference(avatar_component_clause,[],[f686]) ).
fof(f686,plain,
( spl21_110
<=> op(op(e3,e2),e1) = op(e3,op(e2,e1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_110])]) ).
fof(f1483,plain,
( ~ spl21_29
| ~ spl21_32
| spl21_109
| ~ spl21_140 ),
inference(avatar_contradiction_clause,[],[f1482]) ).
fof(f1482,plain,
( $false
| ~ spl21_29
| ~ spl21_32
| spl21_109
| ~ spl21_140 ),
inference(subsumption_resolution,[],[f1481,f842]) ).
fof(f1481,plain,
( e1 != op(e3,e2)
| ~ spl21_29
| ~ spl21_32
| spl21_109
| ~ spl21_140 ),
inference(forward_demodulation,[],[f1480,f375]) ).
fof(f1480,plain,
( op(e3,e2) != op(e1,unit)
| ~ spl21_29
| spl21_109
| ~ spl21_140 ),
inference(forward_demodulation,[],[f1479,f363]) ).
fof(f1479,plain,
( op(e1,unit) != op(e3,op(e2,unit))
| spl21_109
| ~ spl21_140 ),
inference(forward_demodulation,[],[f684,f842]) ).
fof(f684,plain,
( op(e3,op(e2,unit)) != op(op(e3,e2),unit)
| spl21_109 ),
inference(avatar_component_clause,[],[f682]) ).
fof(f682,plain,
( spl21_109
<=> op(e3,op(e2,unit)) = op(op(e3,e2),unit) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_109])]) ).
fof(f1478,plain,
( ~ spl21_11
| spl21_106
| ~ spl21_107 ),
inference(avatar_contradiction_clause,[],[f1477]) ).
fof(f1477,plain,
( $false
| ~ spl21_11
| spl21_106
| ~ spl21_107 ),
inference(trivial_inequality_removal,[],[f1476]) ).
fof(f1476,plain,
( op(unit,e3) != op(unit,e3)
| ~ spl21_11
| spl21_106
| ~ spl21_107 ),
inference(forward_demodulation,[],[f1475,f282]) ).
fof(f282,plain,
( unit = op(unit,unit)
| ~ spl21_11 ),
inference(avatar_component_clause,[],[f281]) ).
fof(f281,plain,
( spl21_11
<=> unit = op(unit,unit) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_11])]) ).
fof(f1475,plain,
( op(unit,e3) != op(op(unit,unit),e3)
| spl21_106
| ~ spl21_107 ),
inference(forward_demodulation,[],[f672,f675]) ).
fof(f672,plain,
( op(op(unit,unit),e3) != op(unit,op(unit,e3))
| spl21_106 ),
inference(avatar_component_clause,[],[f670]) ).
fof(f670,plain,
( spl21_106
<=> op(op(unit,unit),e3) = op(unit,op(unit,e3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_106])]) ).
fof(f1473,plain,
( ~ spl21_11
| spl21_105
| ~ spl21_152 ),
inference(avatar_contradiction_clause,[],[f1472]) ).
fof(f1472,plain,
( $false
| ~ spl21_11
| spl21_105
| ~ spl21_152 ),
inference(subsumption_resolution,[],[f1471,f282]) ).
fof(f1471,plain,
( unit != op(unit,unit)
| spl21_105
| ~ spl21_152 ),
inference(forward_demodulation,[],[f668,f906]) ).
fof(f906,plain,
( unit = inv(unit)
| ~ spl21_152 ),
inference(avatar_component_clause,[],[f905]) ).
fof(f905,plain,
( spl21_152
<=> unit = inv(unit) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_152])]) ).
fof(f668,plain,
( unit != op(inv(unit),unit)
| spl21_105 ),
inference(avatar_component_clause,[],[f666]) ).
fof(f666,plain,
( spl21_105
<=> unit = op(inv(unit),unit) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_105])]) ).
fof(f1464,plain,
( ~ spl21_13
| ~ spl21_25
| ~ spl21_29
| spl21_104
| ~ spl21_150 ),
inference(avatar_contradiction_clause,[],[f1463]) ).
fof(f1463,plain,
( $false
| ~ spl21_13
| ~ spl21_25
| ~ spl21_29
| spl21_104
| ~ spl21_150 ),
inference(subsumption_resolution,[],[f1462,f893]) ).
fof(f893,plain,
( e2 = op(e3,e1)
| ~ spl21_150 ),
inference(avatar_component_clause,[],[f892]) ).
fof(f892,plain,
( spl21_150
<=> e2 = op(e3,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_150])]) ).
fof(f1462,plain,
( e2 != op(e3,e1)
| ~ spl21_13
| ~ spl21_25
| ~ spl21_29
| spl21_104 ),
inference(forward_demodulation,[],[f1461,f346]) ).
fof(f1461,plain,
( e2 != op(op(e2,e1),e1)
| ~ spl21_13
| ~ spl21_29
| spl21_104 ),
inference(forward_demodulation,[],[f1460,f363]) ).
fof(f1460,plain,
( op(op(e2,e1),e1) != op(e2,unit)
| ~ spl21_13
| spl21_104 ),
inference(forward_demodulation,[],[f664,f290]) ).
fof(f664,plain,
( op(op(e2,e1),e1) != op(e2,op(e1,e1))
| spl21_104 ),
inference(avatar_component_clause,[],[f662]) ).
fof(f662,plain,
( spl21_104
<=> op(op(e2,e1),e1) = op(e2,op(e1,e1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_104])]) ).
fof(f1459,plain,
( ~ spl21_29
| ~ spl21_32
| spl21_103
| ~ spl21_150 ),
inference(avatar_contradiction_clause,[],[f1458]) ).
fof(f1458,plain,
( $false
| ~ spl21_29
| ~ spl21_32
| spl21_103
| ~ spl21_150 ),
inference(subsumption_resolution,[],[f1457,f893]) ).
fof(f1457,plain,
( e2 != op(e3,e1)
| ~ spl21_29
| ~ spl21_32
| spl21_103
| ~ spl21_150 ),
inference(forward_demodulation,[],[f1456,f363]) ).
fof(f1456,plain,
( op(e3,e1) != op(e2,unit)
| ~ spl21_32
| spl21_103
| ~ spl21_150 ),
inference(forward_demodulation,[],[f1455,f375]) ).
fof(f1455,plain,
( op(e2,unit) != op(e3,op(e1,unit))
| spl21_103
| ~ spl21_150 ),
inference(forward_demodulation,[],[f660,f893]) ).
fof(f660,plain,
( op(e3,op(e1,unit)) != op(op(e3,e1),unit)
| spl21_103 ),
inference(avatar_component_clause,[],[f658]) ).
fof(f658,plain,
( spl21_103
<=> op(e3,op(e1,unit)) = op(op(e3,e1),unit) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_103])]) ).
fof(f1451,plain,
( ~ spl21_42
| spl21_102
| ~ spl21_111
| ~ spl21_149 ),
inference(avatar_contradiction_clause,[],[f1450]) ).
fof(f1450,plain,
( $false
| ~ spl21_42
| spl21_102
| ~ spl21_111
| ~ spl21_149 ),
inference(subsumption_resolution,[],[f1449,f415]) ).
fof(f1449,plain,
( e1 != op(unit,e1)
| spl21_102
| ~ spl21_111
| ~ spl21_149 ),
inference(forward_demodulation,[],[f1448,f888]) ).
fof(f1448,plain,
( op(e2,e3) != op(unit,op(e2,e3))
| spl21_102
| ~ spl21_111 ),
inference(forward_demodulation,[],[f656,f691]) ).
fof(f691,plain,
( e2 = op(unit,e2)
| ~ spl21_111 ),
inference(avatar_component_clause,[],[f690]) ).
fof(f690,plain,
( spl21_111
<=> e2 = op(unit,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_111])]) ).
fof(f656,plain,
( op(unit,op(e2,e3)) != op(op(unit,e2),e3)
| spl21_102 ),
inference(avatar_component_clause,[],[f654]) ).
fof(f654,plain,
( spl21_102
<=> op(unit,op(e2,e3)) = op(op(unit,e2),e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_102])]) ).
fof(f1445,plain,
( ~ spl21_47
| spl21_101
| ~ spl21_107 ),
inference(avatar_contradiction_clause,[],[f1444]) ).
fof(f1444,plain,
( $false
| ~ spl21_47
| spl21_101
| ~ spl21_107 ),
inference(trivial_inequality_removal,[],[f1443]) ).
fof(f1443,plain,
( op(e3,e3) != op(e3,e3)
| ~ spl21_47
| spl21_101
| ~ spl21_107 ),
inference(forward_demodulation,[],[f1442,f675]) ).
fof(f1442,plain,
( op(e3,e3) != op(e3,op(unit,e3))
| ~ spl21_47
| spl21_101 ),
inference(forward_demodulation,[],[f652,f435]) ).
fof(f652,plain,
( op(e3,op(unit,e3)) != op(op(e3,unit),e3)
| spl21_101 ),
inference(avatar_component_clause,[],[f650]) ).
fof(f650,plain,
( spl21_101
<=> op(e3,op(unit,e3)) = op(op(e3,unit),e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_101])]) ).
fof(f1441,plain,
( ~ spl21_29
| spl21_100
| ~ spl21_111 ),
inference(avatar_contradiction_clause,[],[f1440]) ).
fof(f1440,plain,
( $false
| ~ spl21_29
| spl21_100
| ~ spl21_111 ),
inference(subsumption_resolution,[],[f1439,f691]) ).
fof(f1439,plain,
( e2 != op(unit,e2)
| ~ spl21_29
| spl21_100
| ~ spl21_111 ),
inference(forward_demodulation,[],[f1438,f363]) ).
fof(f1438,plain,
( op(e2,unit) != op(unit,op(e2,unit))
| spl21_100
| ~ spl21_111 ),
inference(forward_demodulation,[],[f648,f691]) ).
fof(f648,plain,
( op(unit,op(e2,unit)) != op(op(unit,e2),unit)
| spl21_100 ),
inference(avatar_component_clause,[],[f646]) ).
fof(f646,plain,
( spl21_100
<=> op(unit,op(e2,unit)) = op(op(unit,e2),unit) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_100])]) ).
fof(f1434,plain,
( ~ spl21_13
| ~ spl21_15
| spl21_99
| ~ spl21_140
| ~ spl21_175 ),
inference(avatar_contradiction_clause,[],[f1433]) ).
fof(f1433,plain,
( $false
| ~ spl21_13
| ~ spl21_15
| spl21_99
| ~ spl21_140
| ~ spl21_175 ),
inference(subsumption_resolution,[],[f1432,f290]) ).
fof(f1432,plain,
( op(e1,e1) != unit
| ~ spl21_15
| spl21_99
| ~ spl21_140
| ~ spl21_175 ),
inference(forward_demodulation,[],[f1431,f298]) ).
fof(f298,plain,
( op(e2,e2) = unit
| ~ spl21_15 ),
inference(avatar_component_clause,[],[f297]) ).
fof(f297,plain,
( spl21_15
<=> op(e2,e2) = unit ),
introduced(avatar_definition,[new_symbols(naming,[spl21_15])]) ).
fof(f1431,plain,
( op(e1,e1) != op(e2,e2)
| spl21_99
| ~ spl21_140
| ~ spl21_175 ),
inference(forward_demodulation,[],[f1430,f1037]) ).
fof(f1037,plain,
( e2 = op(e1,e3)
| ~ spl21_175 ),
inference(avatar_component_clause,[],[f1036]) ).
fof(f1036,plain,
( spl21_175
<=> e2 = op(e1,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_175])]) ).
fof(f1430,plain,
( op(e1,e1) != op(op(e1,e3),e2)
| spl21_99
| ~ spl21_140 ),
inference(forward_demodulation,[],[f644,f842]) ).
fof(f644,plain,
( op(op(e1,e3),e2) != op(e1,op(e3,e2))
| spl21_99 ),
inference(avatar_component_clause,[],[f642]) ).
fof(f642,plain,
( spl21_99
<=> op(op(e1,e3),e2) = op(e1,op(e3,e2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_99])]) ).
fof(f1424,plain,
( ~ spl21_7
| ~ spl21_15
| ~ spl21_32
| spl21_98
| ~ spl21_140 ),
inference(avatar_contradiction_clause,[],[f1423]) ).
fof(f1423,plain,
( $false
| ~ spl21_7
| ~ spl21_15
| ~ spl21_32
| spl21_98
| ~ spl21_140 ),
inference(subsumption_resolution,[],[f1422,f842]) ).
fof(f1422,plain,
( e1 != op(e3,e2)
| ~ spl21_7
| ~ spl21_15
| ~ spl21_32
| spl21_98 ),
inference(forward_demodulation,[],[f1421,f263]) ).
fof(f1421,plain,
( e1 != op(op(e1,e2),e2)
| ~ spl21_15
| ~ spl21_32
| spl21_98 ),
inference(forward_demodulation,[],[f1420,f375]) ).
fof(f1420,plain,
( op(op(e1,e2),e2) != op(e1,unit)
| ~ spl21_15
| spl21_98 ),
inference(forward_demodulation,[],[f640,f298]) ).
fof(f640,plain,
( op(op(e1,e2),e2) != op(e1,op(e2,e2))
| spl21_98 ),
inference(avatar_component_clause,[],[f638]) ).
fof(f638,plain,
( spl21_98
<=> op(op(e1,e2),e2) = op(e1,op(e2,e2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_98])]) ).
fof(f1419,plain,
( ~ spl21_11
| ~ spl21_13
| ~ spl21_42
| spl21_97 ),
inference(avatar_contradiction_clause,[],[f1418]) ).
fof(f1418,plain,
( $false
| ~ spl21_11
| ~ spl21_13
| ~ spl21_42
| spl21_97 ),
inference(subsumption_resolution,[],[f1417,f282]) ).
fof(f1417,plain,
( unit != op(unit,unit)
| ~ spl21_13
| ~ spl21_42
| spl21_97 ),
inference(forward_demodulation,[],[f1416,f290]) ).
fof(f1416,plain,
( op(e1,e1) != op(unit,op(e1,e1))
| ~ spl21_42
| spl21_97 ),
inference(forward_demodulation,[],[f636,f415]) ).
fof(f636,plain,
( op(unit,op(e1,e1)) != op(op(unit,e1),e1)
| spl21_97 ),
inference(avatar_component_clause,[],[f634]) ).
fof(f634,plain,
( spl21_97
<=> op(unit,op(e1,e1)) = op(op(unit,e1),e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_97])]) ).
fof(f1414,plain,
( ~ spl21_15
| spl21_95
| ~ spl21_118 ),
inference(avatar_contradiction_clause,[],[f1413]) ).
fof(f1413,plain,
( $false
| ~ spl21_15
| spl21_95
| ~ spl21_118 ),
inference(subsumption_resolution,[],[f1412,f298]) ).
fof(f1412,plain,
( op(e2,e2) != unit
| spl21_95
| ~ spl21_118 ),
inference(forward_demodulation,[],[f628,f722]) ).
fof(f722,plain,
( e2 = inv(e2)
| ~ spl21_118 ),
inference(avatar_component_clause,[],[f721]) ).
fof(f721,plain,
( spl21_118
<=> e2 = inv(e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_118])]) ).
fof(f628,plain,
( unit != op(e2,inv(e2))
| spl21_95 ),
inference(avatar_component_clause,[],[f626]) ).
fof(f626,plain,
( spl21_95
<=> unit = op(e2,inv(e2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_95])]) ).
fof(f1408,plain,
( ~ spl21_11
| ~ spl21_13
| ~ spl21_32
| spl21_94 ),
inference(avatar_contradiction_clause,[],[f1407]) ).
fof(f1407,plain,
( $false
| ~ spl21_11
| ~ spl21_13
| ~ spl21_32
| spl21_94 ),
inference(subsumption_resolution,[],[f1406,f290]) ).
fof(f1406,plain,
( op(e1,e1) != unit
| ~ spl21_11
| ~ spl21_13
| ~ spl21_32
| spl21_94 ),
inference(forward_demodulation,[],[f1405,f282]) ).
fof(f1405,plain,
( op(e1,e1) != op(unit,unit)
| ~ spl21_13
| ~ spl21_32
| spl21_94 ),
inference(forward_demodulation,[],[f1404,f375]) ).
fof(f1404,plain,
( op(unit,unit) != op(e1,op(e1,unit))
| ~ spl21_13
| spl21_94 ),
inference(forward_demodulation,[],[f624,f290]) ).
fof(f624,plain,
( op(e1,op(e1,unit)) != op(op(e1,e1),unit)
| spl21_94 ),
inference(avatar_component_clause,[],[f622]) ).
fof(f622,plain,
( spl21_94
<=> op(e1,op(e1,unit)) = op(op(e1,e1),unit) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_94])]) ).
fof(f1399,plain,
( ~ spl21_3
| ~ spl21_12
| spl21_93 ),
inference(avatar_contradiction_clause,[],[f1398]) ).
fof(f1398,plain,
( $false
| ~ spl21_3
| ~ spl21_12
| spl21_93 ),
inference(subsumption_resolution,[],[f1397,f286]) ).
fof(f1397,plain,
( op(e3,e3) != unit
| ~ spl21_3
| spl21_93 ),
inference(forward_demodulation,[],[f620,f245]) ).
fof(f245,plain,
( e3 = inv(e3)
| ~ spl21_3 ),
inference(avatar_component_clause,[],[f244]) ).
fof(f244,plain,
( spl21_3
<=> e3 = inv(e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_3])]) ).
fof(f620,plain,
( unit != op(e3,inv(e3))
| spl21_93 ),
inference(avatar_component_clause,[],[f618]) ).
fof(f618,plain,
( spl21_93
<=> unit = op(e3,inv(e3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_93])]) ).
fof(f1396,plain,
( ~ spl21_7
| ~ spl21_15
| ~ spl21_47
| spl21_92
| ~ spl21_140 ),
inference(avatar_contradiction_clause,[],[f1395]) ).
fof(f1395,plain,
( $false
| ~ spl21_7
| ~ spl21_15
| ~ spl21_47
| spl21_92
| ~ spl21_140 ),
inference(subsumption_resolution,[],[f1394,f263]) ).
fof(f1394,plain,
( e3 != op(e1,e2)
| ~ spl21_15
| ~ spl21_47
| spl21_92
| ~ spl21_140 ),
inference(forward_demodulation,[],[f1393,f842]) ).
fof(f1393,plain,
( e3 != op(op(e3,e2),e2)
| ~ spl21_15
| ~ spl21_47
| spl21_92 ),
inference(forward_demodulation,[],[f1392,f435]) ).
fof(f1392,plain,
( op(op(e3,e2),e2) != op(e3,unit)
| ~ spl21_15
| spl21_92 ),
inference(forward_demodulation,[],[f616,f298]) ).
fof(f616,plain,
( op(op(e3,e2),e2) != op(e3,op(e2,e2))
| spl21_92 ),
inference(avatar_component_clause,[],[f614]) ).
fof(f614,plain,
( spl21_92
<=> op(op(e3,e2),e2) = op(e3,op(e2,e2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_92])]) ).
fof(f1388,plain,
( ~ spl21_25
| spl21_91
| ~ spl21_107
| ~ spl21_111 ),
inference(avatar_contradiction_clause,[],[f1387]) ).
fof(f1387,plain,
( $false
| ~ spl21_25
| spl21_91
| ~ spl21_107
| ~ spl21_111 ),
inference(subsumption_resolution,[],[f1386,f346]) ).
fof(f1386,plain,
( e3 != op(e2,e1)
| ~ spl21_25
| spl21_91
| ~ spl21_107
| ~ spl21_111 ),
inference(forward_demodulation,[],[f1385,f675]) ).
fof(f1385,plain,
( op(e2,e1) != op(unit,e3)
| ~ spl21_25
| spl21_91
| ~ spl21_111 ),
inference(forward_demodulation,[],[f1384,f691]) ).
fof(f1384,plain,
( op(unit,e3) != op(op(unit,e2),e1)
| ~ spl21_25
| spl21_91 ),
inference(forward_demodulation,[],[f612,f346]) ).
fof(f612,plain,
( op(op(unit,e2),e1) != op(unit,op(e2,e1))
| spl21_91 ),
inference(avatar_component_clause,[],[f610]) ).
fof(f610,plain,
( spl21_91
<=> op(op(unit,e2),e1) = op(unit,op(e2,e1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_91])]) ).
fof(f1380,plain,
( ~ spl21_15
| ~ spl21_25
| ~ spl21_42
| spl21_90
| ~ spl21_149 ),
inference(avatar_contradiction_clause,[],[f1379]) ).
fof(f1379,plain,
( $false
| ~ spl21_15
| ~ spl21_25
| ~ spl21_42
| spl21_90
| ~ spl21_149 ),
inference(subsumption_resolution,[],[f1378,f888]) ).
fof(f1378,plain,
( e1 != op(e2,e3)
| ~ spl21_15
| ~ spl21_25
| ~ spl21_42
| spl21_90 ),
inference(forward_demodulation,[],[f1377,f415]) ).
fof(f1377,plain,
( op(e2,e3) != op(unit,e1)
| ~ spl21_15
| ~ spl21_25
| spl21_90 ),
inference(forward_demodulation,[],[f1376,f298]) ).
fof(f1376,plain,
( op(e2,e3) != op(op(e2,e2),e1)
| ~ spl21_25
| spl21_90 ),
inference(forward_demodulation,[],[f608,f346]) ).
fof(f608,plain,
( op(op(e2,e2),e1) != op(e2,op(e2,e1))
| spl21_90 ),
inference(avatar_component_clause,[],[f606]) ).
fof(f606,plain,
( spl21_90
<=> op(op(e2,e2),e1) = op(e2,op(e2,e1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_90])]) ).
fof(f1370,plain,
( ~ spl21_47
| spl21_89
| ~ spl21_107 ),
inference(avatar_contradiction_clause,[],[f1369]) ).
fof(f1369,plain,
( $false
| ~ spl21_47
| spl21_89
| ~ spl21_107 ),
inference(subsumption_resolution,[],[f1368,f675]) ).
fof(f1368,plain,
( e3 != op(unit,e3)
| ~ spl21_47
| spl21_89
| ~ spl21_107 ),
inference(forward_demodulation,[],[f1367,f435]) ).
fof(f1367,plain,
( op(e3,unit) != op(unit,op(e3,unit))
| spl21_89
| ~ spl21_107 ),
inference(forward_demodulation,[],[f604,f675]) ).
fof(f604,plain,
( op(unit,op(e3,unit)) != op(op(unit,e3),unit)
| spl21_89 ),
inference(avatar_component_clause,[],[f602]) ).
fof(f602,plain,
( spl21_89
<=> op(unit,op(e3,unit)) = op(op(unit,e3),unit) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_89])]) ).
fof(f1366,plain,
( ~ spl21_13
| ~ spl21_25
| ~ spl21_47
| spl21_88
| ~ spl21_150 ),
inference(avatar_contradiction_clause,[],[f1365]) ).
fof(f1365,plain,
( $false
| ~ spl21_13
| ~ spl21_25
| ~ spl21_47
| spl21_88
| ~ spl21_150 ),
inference(subsumption_resolution,[],[f1364,f346]) ).
fof(f1364,plain,
( e3 != op(e2,e1)
| ~ spl21_13
| ~ spl21_47
| spl21_88
| ~ spl21_150 ),
inference(forward_demodulation,[],[f1363,f893]) ).
fof(f1363,plain,
( e3 != op(op(e3,e1),e1)
| ~ spl21_13
| ~ spl21_47
| spl21_88 ),
inference(forward_demodulation,[],[f1362,f435]) ).
fof(f1362,plain,
( op(op(e3,e1),e1) != op(e3,unit)
| ~ spl21_13
| spl21_88 ),
inference(forward_demodulation,[],[f600,f290]) ).
fof(f600,plain,
( op(op(e3,e1),e1) != op(e3,op(e1,e1))
| spl21_88 ),
inference(avatar_component_clause,[],[f598]) ).
fof(f598,plain,
( spl21_88
<=> op(op(e3,e1),e1) = op(e3,op(e1,e1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_88])]) ).
fof(f1360,plain,
( ~ spl21_11
| ~ spl21_29
| spl21_87 ),
inference(avatar_contradiction_clause,[],[f1359]) ).
fof(f1359,plain,
( $false
| ~ spl21_11
| ~ spl21_29
| spl21_87 ),
inference(trivial_inequality_removal,[],[f1358]) ).
fof(f1358,plain,
( op(e2,unit) != op(e2,unit)
| ~ spl21_11
| ~ spl21_29
| spl21_87 ),
inference(forward_demodulation,[],[f1357,f282]) ).
fof(f1357,plain,
( op(e2,unit) != op(e2,op(unit,unit))
| ~ spl21_29
| spl21_87 ),
inference(forward_demodulation,[],[f596,f363]) ).
fof(f596,plain,
( op(e2,op(unit,unit)) != op(op(e2,unit),unit)
| spl21_87 ),
inference(avatar_component_clause,[],[f594]) ).
fof(f594,plain,
( spl21_87
<=> op(e2,op(unit,unit)) = op(op(e2,unit),unit) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_87])]) ).
fof(f1352,plain,
( ~ spl21_13
| spl21_85
| ~ spl21_156 ),
inference(avatar_contradiction_clause,[],[f1351]) ).
fof(f1351,plain,
( $false
| ~ spl21_13
| spl21_85
| ~ spl21_156 ),
inference(subsumption_resolution,[],[f1350,f290]) ).
fof(f1350,plain,
( op(e1,e1) != unit
| spl21_85
| ~ spl21_156 ),
inference(forward_demodulation,[],[f588,f929]) ).
fof(f929,plain,
( e1 = inv(e1)
| ~ spl21_156 ),
inference(avatar_component_clause,[],[f928]) ).
fof(f928,plain,
( spl21_156
<=> e1 = inv(e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_156])]) ).
fof(f588,plain,
( unit != op(inv(e1),e1)
| spl21_85 ),
inference(avatar_component_clause,[],[f586]) ).
fof(f586,plain,
( spl21_85
<=> unit = op(inv(e1),e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_85])]) ).
fof(f1347,plain,
( ~ spl21_12
| spl21_84
| ~ spl21_111
| ~ spl21_140
| ~ spl21_150 ),
inference(avatar_contradiction_clause,[],[f1346]) ).
fof(f1346,plain,
( $false
| ~ spl21_12
| spl21_84
| ~ spl21_111
| ~ spl21_140
| ~ spl21_150 ),
inference(subsumption_resolution,[],[f1345,f893]) ).
fof(f1345,plain,
( e2 != op(e3,e1)
| ~ spl21_12
| spl21_84
| ~ spl21_111
| ~ spl21_140 ),
inference(forward_demodulation,[],[f1344,f691]) ).
fof(f1344,plain,
( op(e3,e1) != op(unit,e2)
| ~ spl21_12
| spl21_84
| ~ spl21_140 ),
inference(forward_demodulation,[],[f1343,f286]) ).
fof(f1343,plain,
( op(e3,e1) != op(op(e3,e3),e2)
| spl21_84
| ~ spl21_140 ),
inference(forward_demodulation,[],[f584,f842]) ).
fof(f584,plain,
( op(op(e3,e3),e2) != op(e3,op(e3,e2))
| spl21_84 ),
inference(avatar_component_clause,[],[f582]) ).
fof(f582,plain,
( spl21_84
<=> op(op(e3,e3),e2) = op(e3,op(e3,e2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_84])]) ).
fof(f1339,plain,
( ~ spl21_42
| spl21_83
| ~ spl21_107
| ~ spl21_140 ),
inference(avatar_contradiction_clause,[],[f1338]) ).
fof(f1338,plain,
( $false
| ~ spl21_42
| spl21_83
| ~ spl21_107
| ~ spl21_140 ),
inference(subsumption_resolution,[],[f1337,f415]) ).
fof(f1337,plain,
( e1 != op(unit,e1)
| spl21_83
| ~ spl21_107
| ~ spl21_140 ),
inference(forward_demodulation,[],[f1336,f842]) ).
fof(f1336,plain,
( op(e3,e2) != op(unit,op(e3,e2))
| spl21_83
| ~ spl21_107 ),
inference(forward_demodulation,[],[f580,f675]) ).
fof(f580,plain,
( op(unit,op(e3,e2)) != op(op(unit,e3),e2)
| spl21_83 ),
inference(avatar_component_clause,[],[f578]) ).
fof(f578,plain,
( spl21_83
<=> op(unit,op(e3,e2)) = op(op(unit,e3),e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_83])]) ).
fof(f1332,plain,
( ~ spl21_7
| ~ spl21_13
| spl21_82
| ~ spl21_111
| ~ spl21_175 ),
inference(avatar_contradiction_clause,[],[f1331]) ).
fof(f1331,plain,
( $false
| ~ spl21_7
| ~ spl21_13
| spl21_82
| ~ spl21_111
| ~ spl21_175 ),
inference(subsumption_resolution,[],[f1330,f1037]) ).
fof(f1330,plain,
( e2 != op(e1,e3)
| ~ spl21_7
| ~ spl21_13
| spl21_82
| ~ spl21_111 ),
inference(forward_demodulation,[],[f1329,f691]) ).
fof(f1329,plain,
( op(e1,e3) != op(unit,e2)
| ~ spl21_7
| ~ spl21_13
| spl21_82 ),
inference(forward_demodulation,[],[f1328,f290]) ).
fof(f1328,plain,
( op(e1,e3) != op(op(e1,e1),e2)
| ~ spl21_7
| spl21_82 ),
inference(forward_demodulation,[],[f576,f263]) ).
fof(f576,plain,
( op(op(e1,e1),e2) != op(e1,op(e1,e2))
| spl21_82 ),
inference(avatar_component_clause,[],[f574]) ).
fof(f574,plain,
( spl21_82
<=> op(op(e1,e1),e2) = op(e1,op(e1,e2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_82])]) ).
fof(f1327,plain,
( ~ spl21_7
| ~ spl21_29
| ~ spl21_47
| spl21_81 ),
inference(avatar_contradiction_clause,[],[f1326]) ).
fof(f1326,plain,
( $false
| ~ spl21_7
| ~ spl21_29
| ~ spl21_47
| spl21_81 ),
inference(subsumption_resolution,[],[f1325,f263]) ).
fof(f1325,plain,
( e3 != op(e1,e2)
| ~ spl21_7
| ~ spl21_29
| ~ spl21_47
| spl21_81 ),
inference(forward_demodulation,[],[f1324,f435]) ).
fof(f1324,plain,
( op(e1,e2) != op(e3,unit)
| ~ spl21_7
| ~ spl21_29
| spl21_81 ),
inference(forward_demodulation,[],[f1323,f363]) ).
fof(f1323,plain,
( op(e3,unit) != op(e1,op(e2,unit))
| ~ spl21_7
| spl21_81 ),
inference(forward_demodulation,[],[f572,f263]) ).
fof(f572,plain,
( op(e1,op(e2,unit)) != op(op(e1,e2),unit)
| spl21_81 ),
inference(avatar_component_clause,[],[f570]) ).
fof(f570,plain,
( spl21_81
<=> op(e1,op(e2,unit)) = op(op(e1,e2),unit) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_81])]) ).
fof(f1319,plain,
( ~ spl21_12
| ~ spl21_29
| spl21_80
| ~ spl21_149
| ~ spl21_175 ),
inference(avatar_contradiction_clause,[],[f1318]) ).
fof(f1318,plain,
( $false
| ~ spl21_12
| ~ spl21_29
| spl21_80
| ~ spl21_149
| ~ spl21_175 ),
inference(subsumption_resolution,[],[f1317,f1037]) ).
fof(f1317,plain,
( e2 != op(e1,e3)
| ~ spl21_12
| ~ spl21_29
| spl21_80
| ~ spl21_149 ),
inference(forward_demodulation,[],[f1316,f888]) ).
fof(f1316,plain,
( e2 != op(op(e2,e3),e3)
| ~ spl21_12
| ~ spl21_29
| spl21_80 ),
inference(forward_demodulation,[],[f1315,f363]) ).
fof(f1315,plain,
( op(op(e2,e3),e3) != op(e2,unit)
| ~ spl21_12
| spl21_80 ),
inference(forward_demodulation,[],[f568,f286]) ).
fof(f568,plain,
( op(op(e2,e3),e3) != op(e2,op(e3,e3))
| spl21_80 ),
inference(avatar_component_clause,[],[f566]) ).
fof(f566,plain,
( spl21_80
<=> op(op(e2,e3),e3) = op(e2,op(e3,e3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_80])]) ).
fof(f1311,plain,
( ~ spl21_15
| ~ spl21_25
| spl21_79
| ~ spl21_107
| ~ spl21_149 ),
inference(avatar_contradiction_clause,[],[f1310]) ).
fof(f1310,plain,
( $false
| ~ spl21_15
| ~ spl21_25
| spl21_79
| ~ spl21_107
| ~ spl21_149 ),
inference(subsumption_resolution,[],[f1309,f346]) ).
fof(f1309,plain,
( e3 != op(e2,e1)
| ~ spl21_15
| spl21_79
| ~ spl21_107
| ~ spl21_149 ),
inference(forward_demodulation,[],[f1308,f675]) ).
fof(f1308,plain,
( op(e2,e1) != op(unit,e3)
| ~ spl21_15
| spl21_79
| ~ spl21_149 ),
inference(forward_demodulation,[],[f1307,f298]) ).
fof(f1307,plain,
( op(e2,e1) != op(op(e2,e2),e3)
| spl21_79
| ~ spl21_149 ),
inference(forward_demodulation,[],[f564,f888]) ).
fof(f564,plain,
( op(op(e2,e2),e3) != op(e2,op(e2,e3))
| spl21_79 ),
inference(avatar_component_clause,[],[f562]) ).
fof(f562,plain,
( spl21_79
<=> op(op(e2,e2),e3) = op(e2,op(e2,e3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_79])]) ).
fof(f1303,plain,
( ~ spl21_11
| spl21_78
| ~ spl21_152 ),
inference(avatar_contradiction_clause,[],[f1302]) ).
fof(f1302,plain,
( $false
| ~ spl21_11
| spl21_78
| ~ spl21_152 ),
inference(subsumption_resolution,[],[f1301,f282]) ).
fof(f1301,plain,
( unit != op(unit,unit)
| spl21_78
| ~ spl21_152 ),
inference(forward_demodulation,[],[f560,f906]) ).
fof(f560,plain,
( unit != op(unit,inv(unit))
| spl21_78 ),
inference(avatar_component_clause,[],[f558]) ).
fof(f558,plain,
( spl21_78
<=> unit = op(unit,inv(unit)) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_78])]) ).
fof(f1300,plain,
( ~ spl21_11
| spl21_77
| ~ spl21_111 ),
inference(avatar_contradiction_clause,[],[f1299]) ).
fof(f1299,plain,
( $false
| ~ spl21_11
| spl21_77
| ~ spl21_111 ),
inference(subsumption_resolution,[],[f1298,f691]) ).
fof(f1298,plain,
( e2 != op(unit,e2)
| ~ spl21_11
| spl21_77
| ~ spl21_111 ),
inference(forward_demodulation,[],[f1297,f691]) ).
fof(f1297,plain,
( op(unit,e2) != op(unit,op(unit,e2))
| ~ spl21_11
| spl21_77 ),
inference(forward_demodulation,[],[f556,f282]) ).
fof(f556,plain,
( op(unit,op(unit,e2)) != op(op(unit,unit),e2)
| spl21_77 ),
inference(avatar_component_clause,[],[f554]) ).
fof(f554,plain,
( spl21_77
<=> op(unit,op(unit,e2)) = op(op(unit,unit),e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_77])]) ).
fof(f1294,plain,
( ~ spl21_11
| ~ spl21_32
| spl21_76 ),
inference(avatar_contradiction_clause,[],[f1293]) ).
fof(f1293,plain,
( $false
| ~ spl21_11
| ~ spl21_32
| spl21_76 ),
inference(trivial_inequality_removal,[],[f1292]) ).
fof(f1292,plain,
( op(e1,unit) != op(e1,unit)
| ~ spl21_11
| ~ spl21_32
| spl21_76 ),
inference(forward_demodulation,[],[f1291,f282]) ).
fof(f1291,plain,
( op(e1,unit) != op(e1,op(unit,unit))
| ~ spl21_32
| spl21_76 ),
inference(forward_demodulation,[],[f552,f375]) ).
fof(f552,plain,
( op(e1,op(unit,unit)) != op(op(e1,unit),unit)
| spl21_76 ),
inference(avatar_component_clause,[],[f550]) ).
fof(f550,plain,
( spl21_76
<=> op(e1,op(unit,unit)) = op(op(e1,unit),unit) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_76])]) ).
fof(f1290,plain,
( ~ spl21_32
| spl21_75
| ~ spl21_111 ),
inference(avatar_contradiction_clause,[],[f1289]) ).
fof(f1289,plain,
( $false
| ~ spl21_32
| spl21_75
| ~ spl21_111 ),
inference(trivial_inequality_removal,[],[f1288]) ).
fof(f1288,plain,
( op(e1,e2) != op(e1,e2)
| ~ spl21_32
| spl21_75
| ~ spl21_111 ),
inference(forward_demodulation,[],[f1287,f375]) ).
fof(f1287,plain,
( op(e1,e2) != op(op(e1,unit),e2)
| spl21_75
| ~ spl21_111 ),
inference(forward_demodulation,[],[f548,f691]) ).
fof(f548,plain,
( op(op(e1,unit),e2) != op(e1,op(unit,e2))
| spl21_75 ),
inference(avatar_component_clause,[],[f546]) ).
fof(f546,plain,
( spl21_75
<=> op(op(e1,unit),e2) = op(e1,op(unit,e2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_75])]) ).
fof(f1283,plain,
( ~ spl21_47
| spl21_74
| ~ spl21_111 ),
inference(avatar_contradiction_clause,[],[f1282]) ).
fof(f1282,plain,
( $false
| ~ spl21_47
| spl21_74
| ~ spl21_111 ),
inference(trivial_inequality_removal,[],[f1281]) ).
fof(f1281,plain,
( op(e3,e2) != op(e3,e2)
| ~ spl21_47
| spl21_74
| ~ spl21_111 ),
inference(forward_demodulation,[],[f1280,f691]) ).
fof(f1280,plain,
( op(e3,e2) != op(e3,op(unit,e2))
| ~ spl21_47
| spl21_74 ),
inference(forward_demodulation,[],[f544,f435]) ).
fof(f544,plain,
( op(e3,op(unit,e2)) != op(op(e3,unit),e2)
| spl21_74 ),
inference(avatar_component_clause,[],[f542]) ).
fof(f542,plain,
( spl21_74
<=> op(e3,op(unit,e2)) = op(op(e3,unit),e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_74])]) ).
fof(f1279,plain,
( ~ spl21_11
| ~ spl21_12
| spl21_73
| ~ spl21_107 ),
inference(avatar_contradiction_clause,[],[f1278]) ).
fof(f1278,plain,
( $false
| ~ spl21_11
| ~ spl21_12
| spl21_73
| ~ spl21_107 ),
inference(subsumption_resolution,[],[f1277,f282]) ).
fof(f1277,plain,
( unit != op(unit,unit)
| ~ spl21_12
| spl21_73
| ~ spl21_107 ),
inference(forward_demodulation,[],[f1276,f286]) ).
fof(f1276,plain,
( op(e3,e3) != op(unit,op(e3,e3))
| spl21_73
| ~ spl21_107 ),
inference(forward_demodulation,[],[f540,f675]) ).
fof(f540,plain,
( op(unit,op(e3,e3)) != op(op(unit,e3),e3)
| spl21_73 ),
inference(avatar_component_clause,[],[f538]) ).
fof(f538,plain,
( spl21_73
<=> op(unit,op(e3,e3)) = op(op(unit,e3),e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_73])]) ).
fof(f1274,plain,
( ~ spl21_13
| spl21_72
| ~ spl21_156 ),
inference(avatar_contradiction_clause,[],[f1273]) ).
fof(f1273,plain,
( $false
| ~ spl21_13
| spl21_72
| ~ spl21_156 ),
inference(subsumption_resolution,[],[f1272,f290]) ).
fof(f1272,plain,
( op(e1,e1) != unit
| spl21_72
| ~ spl21_156 ),
inference(forward_demodulation,[],[f536,f929]) ).
fof(f536,plain,
( unit != op(e1,inv(e1))
| spl21_72 ),
inference(avatar_component_clause,[],[f534]) ).
fof(f534,plain,
( spl21_72
<=> unit = op(e1,inv(e1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_72])]) ).
fof(f1268,plain,
( ~ spl21_11
| ~ spl21_42
| spl21_70 ),
inference(avatar_contradiction_clause,[],[f1267]) ).
fof(f1267,plain,
( $false
| ~ spl21_11
| ~ spl21_42
| spl21_70 ),
inference(trivial_inequality_removal,[],[f1266]) ).
fof(f1266,plain,
( op(unit,e1) != op(unit,e1)
| ~ spl21_11
| ~ spl21_42
| spl21_70 ),
inference(forward_demodulation,[],[f1265,f282]) ).
fof(f1265,plain,
( op(unit,e1) != op(op(unit,unit),e1)
| ~ spl21_42
| spl21_70 ),
inference(forward_demodulation,[],[f528,f415]) ).
fof(f528,plain,
( op(op(unit,unit),e1) != op(unit,op(unit,e1))
| spl21_70 ),
inference(avatar_component_clause,[],[f526]) ).
fof(f526,plain,
( spl21_70
<=> op(op(unit,unit),e1) = op(unit,op(unit,e1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_70])]) ).
fof(f1264,plain,
( ~ spl21_7
| ~ spl21_42
| spl21_68
| ~ spl21_107 ),
inference(avatar_contradiction_clause,[],[f1263]) ).
fof(f1263,plain,
( $false
| ~ spl21_7
| ~ spl21_42
| spl21_68
| ~ spl21_107 ),
inference(subsumption_resolution,[],[f1262,f675]) ).
fof(f1262,plain,
( e3 != op(unit,e3)
| ~ spl21_7
| ~ spl21_42
| spl21_68 ),
inference(forward_demodulation,[],[f1261,f263]) ).
fof(f1261,plain,
( op(e1,e2) != op(unit,op(e1,e2))
| ~ spl21_42
| spl21_68 ),
inference(forward_demodulation,[],[f520,f415]) ).
fof(f520,plain,
( op(unit,op(e1,e2)) != op(op(unit,e1),e2)
| spl21_68 ),
inference(avatar_component_clause,[],[f518]) ).
fof(f518,plain,
( spl21_68
<=> op(unit,op(e1,e2)) = op(op(unit,e1),e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_68])]) ).
fof(f1257,plain,
( ~ spl21_12
| ~ spl21_42
| spl21_66
| ~ spl21_140
| ~ spl21_150 ),
inference(avatar_contradiction_clause,[],[f1256]) ).
fof(f1256,plain,
( $false
| ~ spl21_12
| ~ spl21_42
| spl21_66
| ~ spl21_140
| ~ spl21_150 ),
inference(subsumption_resolution,[],[f1255,f842]) ).
fof(f1255,plain,
( e1 != op(e3,e2)
| ~ spl21_12
| ~ spl21_42
| spl21_66
| ~ spl21_150 ),
inference(forward_demodulation,[],[f1254,f415]) ).
fof(f1254,plain,
( op(e3,e2) != op(unit,e1)
| ~ spl21_12
| spl21_66
| ~ spl21_150 ),
inference(forward_demodulation,[],[f1253,f286]) ).
fof(f1253,plain,
( op(e3,e2) != op(op(e3,e3),e1)
| spl21_66
| ~ spl21_150 ),
inference(forward_demodulation,[],[f512,f893]) ).
fof(f512,plain,
( op(op(e3,e3),e1) != op(e3,op(e3,e1))
| spl21_66 ),
inference(avatar_component_clause,[],[f510]) ).
fof(f510,plain,
( spl21_66
<=> op(op(e3,e3),e1) = op(e3,op(e3,e1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_66])]) ).
fof(f1247,plain,
( ~ spl21_11
| ~ spl21_15
| spl21_65
| ~ spl21_111 ),
inference(avatar_contradiction_clause,[],[f1246]) ).
fof(f1246,plain,
( $false
| ~ spl21_11
| ~ spl21_15
| spl21_65
| ~ spl21_111 ),
inference(subsumption_resolution,[],[f1245,f282]) ).
fof(f1245,plain,
( unit != op(unit,unit)
| ~ spl21_15
| spl21_65
| ~ spl21_111 ),
inference(forward_demodulation,[],[f1244,f298]) ).
fof(f1244,plain,
( op(e2,e2) != op(unit,op(e2,e2))
| spl21_65
| ~ spl21_111 ),
inference(forward_demodulation,[],[f508,f691]) ).
fof(f508,plain,
( op(unit,op(e2,e2)) != op(op(unit,e2),e2)
| spl21_65 ),
inference(avatar_component_clause,[],[f506]) ).
fof(f506,plain,
( spl21_65
<=> op(unit,op(e2,e2)) = op(op(unit,e2),e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_65])]) ).
fof(f1242,plain,
( spl21_64
| ~ spl21_140
| ~ spl21_149
| ~ spl21_150
| ~ spl21_175 ),
inference(avatar_contradiction_clause,[],[f1241]) ).
fof(f1241,plain,
( $false
| spl21_64
| ~ spl21_140
| ~ spl21_149
| ~ spl21_150
| ~ spl21_175 ),
inference(subsumption_resolution,[],[f1240,f1037]) ).
fof(f1240,plain,
( e2 != op(e1,e3)
| spl21_64
| ~ spl21_140
| ~ spl21_149
| ~ spl21_150 ),
inference(forward_demodulation,[],[f1239,f893]) ).
fof(f1239,plain,
( op(e1,e3) != op(e3,e1)
| spl21_64
| ~ spl21_140
| ~ spl21_149 ),
inference(forward_demodulation,[],[f1238,f842]) ).
fof(f1238,plain,
( op(e3,e1) != op(op(e3,e2),e3)
| spl21_64
| ~ spl21_149 ),
inference(forward_demodulation,[],[f504,f888]) ).
fof(f504,plain,
( op(op(e3,e2),e3) != op(e3,op(e2,e3))
| spl21_64 ),
inference(avatar_component_clause,[],[f502]) ).
fof(f502,plain,
( spl21_64
<=> op(op(e3,e2),e3) = op(e3,op(e2,e3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_64])]) ).
fof(f1237,plain,
( ~ spl21_29
| spl21_63
| ~ spl21_107 ),
inference(avatar_contradiction_clause,[],[f1236]) ).
fof(f1236,plain,
( $false
| ~ spl21_29
| spl21_63
| ~ spl21_107 ),
inference(trivial_inequality_removal,[],[f1235]) ).
fof(f1235,plain,
( op(e2,e3) != op(e2,e3)
| ~ spl21_29
| spl21_63
| ~ spl21_107 ),
inference(forward_demodulation,[],[f1234,f363]) ).
fof(f1234,plain,
( op(e2,e3) != op(op(e2,unit),e3)
| spl21_63
| ~ spl21_107 ),
inference(forward_demodulation,[],[f500,f675]) ).
fof(f500,plain,
( op(op(e2,unit),e3) != op(e2,op(unit,e3))
| spl21_63 ),
inference(avatar_component_clause,[],[f498]) ).
fof(f498,plain,
( spl21_63
<=> op(op(e2,unit),e3) = op(e2,op(unit,e3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_63])]) ).
fof(f1229,plain,
( ~ spl21_15
| spl21_61
| ~ spl21_118 ),
inference(avatar_contradiction_clause,[],[f1228]) ).
fof(f1228,plain,
( $false
| ~ spl21_15
| spl21_61
| ~ spl21_118 ),
inference(subsumption_resolution,[],[f1227,f298]) ).
fof(f1227,plain,
( op(e2,e2) != unit
| spl21_61
| ~ spl21_118 ),
inference(forward_demodulation,[],[f492,f722]) ).
fof(f492,plain,
( unit != op(inv(e2),e2)
| spl21_61 ),
inference(avatar_component_clause,[],[f490]) ).
fof(f490,plain,
( spl21_61
<=> unit = op(inv(e2),e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_61])]) ).
fof(f1226,plain,
( ~ spl21_7
| ~ spl21_25
| spl21_60
| ~ spl21_140
| ~ spl21_149 ),
inference(avatar_contradiction_clause,[],[f1225]) ).
fof(f1225,plain,
( $false
| ~ spl21_7
| ~ spl21_25
| spl21_60
| ~ spl21_140
| ~ spl21_149 ),
inference(subsumption_resolution,[],[f1224,f888]) ).
fof(f1224,plain,
( e1 != op(e2,e3)
| ~ spl21_7
| ~ spl21_25
| spl21_60
| ~ spl21_140 ),
inference(forward_demodulation,[],[f1223,f842]) ).
fof(f1223,plain,
( op(e2,e3) != op(e3,e2)
| ~ spl21_7
| ~ spl21_25
| spl21_60 ),
inference(forward_demodulation,[],[f1222,f346]) ).
fof(f1222,plain,
( op(e2,e3) != op(op(e2,e1),e2)
| ~ spl21_7
| spl21_60 ),
inference(forward_demodulation,[],[f488,f263]) ).
fof(f488,plain,
( op(op(e2,e1),e2) != op(e2,op(e1,e2))
| spl21_60 ),
inference(avatar_component_clause,[],[f486]) ).
fof(f486,plain,
( spl21_60
<=> op(op(e2,e1),e2) = op(e2,op(e1,e2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_60])]) ).
fof(f1219,plain,
( ~ spl21_32
| ~ spl21_42
| spl21_59 ),
inference(avatar_contradiction_clause,[],[f1218]) ).
fof(f1218,plain,
( $false
| ~ spl21_32
| ~ spl21_42
| spl21_59 ),
inference(subsumption_resolution,[],[f1217,f415]) ).
fof(f1217,plain,
( e1 != op(unit,e1)
| ~ spl21_32
| ~ spl21_42
| spl21_59 ),
inference(forward_demodulation,[],[f1216,f375]) ).
fof(f1216,plain,
( op(e1,unit) != op(unit,op(e1,unit))
| ~ spl21_42
| spl21_59 ),
inference(forward_demodulation,[],[f484,f415]) ).
fof(f484,plain,
( op(unit,op(e1,unit)) != op(op(unit,e1),unit)
| spl21_59 ),
inference(avatar_component_clause,[],[f482]) ).
fof(f482,plain,
( spl21_59
<=> op(unit,op(e1,unit)) = op(op(unit,e1),unit) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_59])]) ).
fof(f1211,plain,
( ~ spl21_12
| ~ spl21_15
| ~ spl21_25
| spl21_57
| ~ spl21_175 ),
inference(avatar_contradiction_clause,[],[f1210]) ).
fof(f1210,plain,
( $false
| ~ spl21_12
| ~ spl21_15
| ~ spl21_25
| spl21_57
| ~ spl21_175 ),
inference(subsumption_resolution,[],[f1209,f298]) ).
fof(f1209,plain,
( op(e2,e2) != unit
| ~ spl21_12
| ~ spl21_25
| spl21_57
| ~ spl21_175 ),
inference(forward_demodulation,[],[f1208,f286]) ).
fof(f1208,plain,
( op(e2,e2) != op(e3,e3)
| ~ spl21_25
| spl21_57
| ~ spl21_175 ),
inference(forward_demodulation,[],[f1207,f346]) ).
fof(f1207,plain,
( op(e2,e2) != op(op(e2,e1),e3)
| spl21_57
| ~ spl21_175 ),
inference(forward_demodulation,[],[f476,f1037]) ).
fof(f476,plain,
( op(op(e2,e1),e3) != op(e2,op(e1,e3))
| spl21_57 ),
inference(avatar_component_clause,[],[f474]) ).
fof(f474,plain,
( spl21_57
<=> op(op(e2,e1),e3) = op(e2,op(e1,e3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_57])]) ).
fof(f1206,plain,
( ~ spl21_11
| ~ spl21_47
| spl21_56 ),
inference(avatar_contradiction_clause,[],[f1205]) ).
fof(f1205,plain,
( $false
| ~ spl21_11
| ~ spl21_47
| spl21_56 ),
inference(trivial_inequality_removal,[],[f1204]) ).
fof(f1204,plain,
( op(e3,unit) != op(e3,unit)
| ~ spl21_11
| ~ spl21_47
| spl21_56 ),
inference(forward_demodulation,[],[f1203,f282]) ).
fof(f1203,plain,
( op(e3,unit) != op(e3,op(unit,unit))
| ~ spl21_47
| spl21_56 ),
inference(forward_demodulation,[],[f472,f435]) ).
fof(f472,plain,
( op(e3,op(unit,unit)) != op(op(e3,unit),unit)
| spl21_56 ),
inference(avatar_component_clause,[],[f470]) ).
fof(f470,plain,
( spl21_56
<=> op(e3,op(unit,unit)) = op(op(e3,unit),unit) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_56])]) ).
fof(f1199,plain,
( ~ spl21_7
| ~ spl21_25
| spl21_55
| ~ spl21_150
| ~ spl21_175 ),
inference(avatar_contradiction_clause,[],[f1198]) ).
fof(f1198,plain,
( $false
| ~ spl21_7
| ~ spl21_25
| spl21_55
| ~ spl21_150
| ~ spl21_175 ),
inference(subsumption_resolution,[],[f1197,f1037]) ).
fof(f1197,plain,
( e2 != op(e1,e3)
| ~ spl21_7
| ~ spl21_25
| spl21_55
| ~ spl21_150 ),
inference(forward_demodulation,[],[f1196,f893]) ).
fof(f1196,plain,
( op(e1,e3) != op(e3,e1)
| ~ spl21_7
| ~ spl21_25
| spl21_55 ),
inference(forward_demodulation,[],[f1195,f263]) ).
fof(f1195,plain,
( op(e1,e3) != op(op(e1,e2),e1)
| ~ spl21_25
| spl21_55 ),
inference(forward_demodulation,[],[f468,f346]) ).
fof(f468,plain,
( op(op(e1,e2),e1) != op(e1,op(e2,e1))
| spl21_55 ),
inference(avatar_component_clause,[],[f466]) ).
fof(f466,plain,
( spl21_55
<=> op(op(e1,e2),e1) = op(e1,op(e2,e1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_55])]) ).
fof(f1188,plain,
( ~ spl21_29
| ~ spl21_47
| spl21_54
| ~ spl21_175 ),
inference(avatar_contradiction_clause,[],[f1187]) ).
fof(f1187,plain,
( $false
| ~ spl21_29
| ~ spl21_47
| spl21_54
| ~ spl21_175 ),
inference(subsumption_resolution,[],[f1186,f1037]) ).
fof(f1186,plain,
( e2 != op(e1,e3)
| ~ spl21_29
| ~ spl21_47
| spl21_54
| ~ spl21_175 ),
inference(forward_demodulation,[],[f1185,f363]) ).
fof(f1185,plain,
( op(e1,e3) != op(e2,unit)
| ~ spl21_47
| spl21_54
| ~ spl21_175 ),
inference(forward_demodulation,[],[f1184,f435]) ).
fof(f1184,plain,
( op(e2,unit) != op(e1,op(e3,unit))
| spl21_54
| ~ spl21_175 ),
inference(forward_demodulation,[],[f464,f1037]) ).
fof(f464,plain,
( op(e1,op(e3,unit)) != op(op(e1,e3),unit)
| spl21_54 ),
inference(avatar_component_clause,[],[f462]) ).
fof(f462,plain,
( spl21_54
<=> op(e1,op(e3,unit)) = op(op(e1,e3),unit) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_54])]) ).
fof(f1183,plain,
( ~ spl21_7
| ~ spl21_25
| spl21_53
| ~ spl21_150
| ~ spl21_175 ),
inference(avatar_contradiction_clause,[],[f1182]) ).
fof(f1182,plain,
( $false
| ~ spl21_7
| ~ spl21_25
| spl21_53
| ~ spl21_150
| ~ spl21_175 ),
inference(subsumption_resolution,[],[f1181,f263]) ).
fof(f1181,plain,
( e3 != op(e1,e2)
| ~ spl21_25
| spl21_53
| ~ spl21_150
| ~ spl21_175 ),
inference(forward_demodulation,[],[f1180,f346]) ).
fof(f1180,plain,
( op(e1,e2) != op(e2,e1)
| spl21_53
| ~ spl21_150
| ~ spl21_175 ),
inference(forward_demodulation,[],[f1179,f1037]) ).
fof(f1179,plain,
( op(e1,e2) != op(op(e1,e3),e1)
| spl21_53
| ~ spl21_150 ),
inference(forward_demodulation,[],[f460,f893]) ).
fof(f460,plain,
( op(op(e1,e3),e1) != op(e1,op(e3,e1))
| spl21_53 ),
inference(avatar_component_clause,[],[f458]) ).
fof(f458,plain,
( spl21_53
<=> op(op(e1,e3),e1) = op(e1,op(e3,e1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_53])]) ).
fof(f1172,plain,
( ~ spl21_32
| ~ spl21_47
| spl21_52
| ~ spl21_149 ),
inference(avatar_contradiction_clause,[],[f1171]) ).
fof(f1171,plain,
( $false
| ~ spl21_32
| ~ spl21_47
| spl21_52
| ~ spl21_149 ),
inference(subsumption_resolution,[],[f1170,f888]) ).
fof(f1170,plain,
( e1 != op(e2,e3)
| ~ spl21_32
| ~ spl21_47
| spl21_52
| ~ spl21_149 ),
inference(forward_demodulation,[],[f1169,f375]) ).
fof(f1169,plain,
( op(e2,e3) != op(e1,unit)
| ~ spl21_47
| spl21_52
| ~ spl21_149 ),
inference(forward_demodulation,[],[f1168,f435]) ).
fof(f1168,plain,
( op(e1,unit) != op(e2,op(e3,unit))
| spl21_52
| ~ spl21_149 ),
inference(forward_demodulation,[],[f456,f888]) ).
fof(f456,plain,
( op(e2,op(e3,unit)) != op(op(e2,e3),unit)
| spl21_52 ),
inference(avatar_component_clause,[],[f454]) ).
fof(f454,plain,
( spl21_52
<=> op(e2,op(e3,unit)) = op(op(e2,e3),unit) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_52])]) ).
fof(f1167,plain,
( ~ spl21_7
| ~ spl21_12
| ~ spl21_13
| spl21_51
| ~ spl21_149 ),
inference(avatar_contradiction_clause,[],[f1166]) ).
fof(f1166,plain,
( $false
| ~ spl21_7
| ~ spl21_12
| ~ spl21_13
| spl21_51
| ~ spl21_149 ),
inference(subsumption_resolution,[],[f1165,f290]) ).
fof(f1165,plain,
( op(e1,e1) != unit
| ~ spl21_7
| ~ spl21_12
| spl21_51
| ~ spl21_149 ),
inference(forward_demodulation,[],[f1164,f286]) ).
fof(f1164,plain,
( op(e1,e1) != op(e3,e3)
| ~ spl21_7
| spl21_51
| ~ spl21_149 ),
inference(forward_demodulation,[],[f1163,f263]) ).
fof(f1163,plain,
( op(e1,e1) != op(op(e1,e2),e3)
| spl21_51
| ~ spl21_149 ),
inference(forward_demodulation,[],[f452,f888]) ).
fof(f452,plain,
( op(op(e1,e2),e3) != op(e1,op(e2,e3))
| spl21_51 ),
inference(avatar_component_clause,[],[f450]) ).
fof(f450,plain,
( spl21_51
<=> op(op(e1,e2),e3) = op(e1,op(e2,e3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_51])]) ).
fof(f1159,plain,
( spl21_50
| ~ spl21_107
| ~ spl21_111
| ~ spl21_150 ),
inference(avatar_contradiction_clause,[],[f1158]) ).
fof(f1158,plain,
( $false
| spl21_50
| ~ spl21_107
| ~ spl21_111
| ~ spl21_150 ),
inference(subsumption_resolution,[],[f1157,f893]) ).
fof(f1157,plain,
( e2 != op(e3,e1)
| spl21_50
| ~ spl21_107
| ~ spl21_111
| ~ spl21_150 ),
inference(forward_demodulation,[],[f1156,f691]) ).
fof(f1156,plain,
( op(e3,e1) != op(unit,e2)
| spl21_50
| ~ spl21_107
| ~ spl21_150 ),
inference(forward_demodulation,[],[f1155,f675]) ).
fof(f1155,plain,
( op(unit,e2) != op(op(unit,e3),e1)
| spl21_50
| ~ spl21_150 ),
inference(forward_demodulation,[],[f448,f893]) ).
fof(f448,plain,
( op(op(unit,e3),e1) != op(unit,op(e3,e1))
| spl21_50 ),
inference(avatar_component_clause,[],[f446]) ).
fof(f446,plain,
( spl21_50
<=> op(op(unit,e3),e1) = op(unit,op(e3,e1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_50])]) ).
fof(f1150,plain,
( ~ spl21_3
| ~ spl21_12
| spl21_49 ),
inference(avatar_contradiction_clause,[],[f1149]) ).
fof(f1149,plain,
( $false
| ~ spl21_3
| ~ spl21_12
| spl21_49 ),
inference(subsumption_resolution,[],[f1148,f286]) ).
fof(f1148,plain,
( op(e3,e3) != unit
| ~ spl21_3
| spl21_49 ),
inference(forward_demodulation,[],[f444,f245]) ).
fof(f444,plain,
( unit != op(inv(e3),e3)
| spl21_49 ),
inference(avatar_component_clause,[],[f442]) ).
fof(f442,plain,
( spl21_49
<=> unit = op(inv(e3),e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_49])]) ).
fof(f1147,plain,
( ~ spl21_11
| ~ spl21_12
| ~ spl21_47
| spl21_48 ),
inference(avatar_contradiction_clause,[],[f1146]) ).
fof(f1146,plain,
( $false
| ~ spl21_11
| ~ spl21_12
| ~ spl21_47
| spl21_48 ),
inference(subsumption_resolution,[],[f1145,f286]) ).
fof(f1145,plain,
( op(e3,e3) != unit
| ~ spl21_11
| ~ spl21_12
| ~ spl21_47
| spl21_48 ),
inference(forward_demodulation,[],[f1144,f435]) ).
fof(f1144,plain,
( unit != op(e3,op(e3,unit))
| ~ spl21_11
| ~ spl21_12
| spl21_48 ),
inference(forward_demodulation,[],[f1143,f282]) ).
fof(f1143,plain,
( op(e3,op(e3,unit)) != op(unit,unit)
| ~ spl21_12
| spl21_48 ),
inference(forward_demodulation,[],[f440,f286]) ).
fof(f440,plain,
( op(e3,op(e3,unit)) != op(op(e3,e3),unit)
| spl21_48 ),
inference(avatar_component_clause,[],[f438]) ).
fof(f438,plain,
( spl21_48
<=> op(e3,op(e3,unit)) = op(op(e3,e3),unit) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_48])]) ).
fof(f1136,plain,
( ~ spl21_11
| ~ spl21_15
| ~ spl21_29
| spl21_45 ),
inference(avatar_contradiction_clause,[],[f1135]) ).
fof(f1135,plain,
( $false
| ~ spl21_11
| ~ spl21_15
| ~ spl21_29
| spl21_45 ),
inference(subsumption_resolution,[],[f1134,f298]) ).
fof(f1134,plain,
( op(e2,e2) != unit
| ~ spl21_11
| ~ spl21_15
| ~ spl21_29
| spl21_45 ),
inference(forward_demodulation,[],[f1133,f282]) ).
fof(f1133,plain,
( op(e2,e2) != op(unit,unit)
| ~ spl21_15
| ~ spl21_29
| spl21_45 ),
inference(forward_demodulation,[],[f1132,f363]) ).
fof(f1132,plain,
( op(unit,unit) != op(e2,op(e2,unit))
| ~ spl21_15
| spl21_45 ),
inference(forward_demodulation,[],[f428,f298]) ).
fof(f428,plain,
( op(e2,op(e2,unit)) != op(op(e2,e2),unit)
| spl21_45 ),
inference(avatar_component_clause,[],[f426]) ).
fof(f426,plain,
( spl21_45
<=> op(e2,op(e2,unit)) = op(op(e2,e2),unit) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_45])]) ).
fof(f1130,plain,
( ~ spl21_7
| ~ spl21_13
| spl21_43
| ~ spl21_107
| ~ spl21_175 ),
inference(avatar_contradiction_clause,[],[f1129]) ).
fof(f1129,plain,
( $false
| ~ spl21_7
| ~ spl21_13
| spl21_43
| ~ spl21_107
| ~ spl21_175 ),
inference(subsumption_resolution,[],[f1128,f263]) ).
fof(f1128,plain,
( e3 != op(e1,e2)
| ~ spl21_13
| spl21_43
| ~ spl21_107
| ~ spl21_175 ),
inference(forward_demodulation,[],[f1127,f675]) ).
fof(f1127,plain,
( op(e1,e2) != op(unit,e3)
| ~ spl21_13
| spl21_43
| ~ spl21_175 ),
inference(forward_demodulation,[],[f1126,f290]) ).
fof(f1126,plain,
( op(e1,e2) != op(op(e1,e1),e3)
| spl21_43
| ~ spl21_175 ),
inference(forward_demodulation,[],[f420,f1037]) ).
fof(f420,plain,
( op(op(e1,e1),e3) != op(e1,op(e1,e3))
| spl21_43 ),
inference(avatar_component_clause,[],[f418]) ).
fof(f418,plain,
( spl21_43
<=> op(op(e1,e1),e3) = op(e1,op(e1,e3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_43])]) ).
fof(f1122,plain,
( ~ spl21_32
| spl21_40
| ~ spl21_42 ),
inference(avatar_contradiction_clause,[],[f1121]) ).
fof(f1121,plain,
( $false
| ~ spl21_32
| spl21_40
| ~ spl21_42 ),
inference(trivial_inequality_removal,[],[f1120]) ).
fof(f1120,plain,
( op(e1,e1) != op(e1,e1)
| ~ spl21_32
| spl21_40
| ~ spl21_42 ),
inference(forward_demodulation,[],[f1119,f415]) ).
fof(f1119,plain,
( op(e1,e1) != op(e1,op(unit,e1))
| ~ spl21_32
| spl21_40 ),
inference(forward_demodulation,[],[f408,f375]) ).
fof(f408,plain,
( op(e1,op(unit,e1)) != op(op(e1,unit),e1)
| spl21_40 ),
inference(avatar_component_clause,[],[f406]) ).
fof(f406,plain,
( spl21_40
<=> op(e1,op(unit,e1)) = op(op(e1,unit),e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_40])]) ).
fof(f1116,plain,
( ~ spl21_13
| ~ spl21_15
| spl21_39
| ~ spl21_149
| ~ spl21_150 ),
inference(avatar_contradiction_clause,[],[f1115]) ).
fof(f1115,plain,
( $false
| ~ spl21_13
| ~ spl21_15
| spl21_39
| ~ spl21_149
| ~ spl21_150 ),
inference(subsumption_resolution,[],[f1114,f290]) ).
fof(f1114,plain,
( op(e1,e1) != unit
| ~ spl21_15
| spl21_39
| ~ spl21_149
| ~ spl21_150 ),
inference(forward_demodulation,[],[f1113,f298]) ).
fof(f1113,plain,
( op(e1,e1) != op(e2,e2)
| spl21_39
| ~ spl21_149
| ~ spl21_150 ),
inference(forward_demodulation,[],[f1112,f888]) ).
fof(f1112,plain,
( op(e2,e2) != op(op(e2,e3),e1)
| spl21_39
| ~ spl21_150 ),
inference(forward_demodulation,[],[f404,f893]) ).
fof(f404,plain,
( op(op(e2,e3),e1) != op(e2,op(e3,e1))
| spl21_39 ),
inference(avatar_component_clause,[],[f402]) ).
fof(f402,plain,
( spl21_39
<=> op(op(e2,e3),e1) = op(e2,op(e3,e1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_39])]) ).
fof(f1111,plain,
( ~ spl21_12
| spl21_38
| ~ spl21_47
| ~ spl21_107 ),
inference(avatar_contradiction_clause,[],[f1110]) ).
fof(f1110,plain,
( $false
| ~ spl21_12
| spl21_38
| ~ spl21_47
| ~ spl21_107 ),
inference(subsumption_resolution,[],[f1109,f675]) ).
fof(f1109,plain,
( e3 != op(unit,e3)
| ~ spl21_12
| spl21_38
| ~ spl21_47 ),
inference(forward_demodulation,[],[f1108,f435]) ).
fof(f1108,plain,
( op(unit,e3) != op(e3,unit)
| ~ spl21_12
| spl21_38 ),
inference(forward_demodulation,[],[f400,f286]) ).
fof(f400,plain,
( op(op(e3,e3),e3) != op(e3,op(e3,e3))
| spl21_38 ),
inference(avatar_component_clause,[],[f398]) ).
fof(f398,plain,
( spl21_38
<=> op(op(e3,e3),e3) = op(e3,op(e3,e3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_38])]) ).
fof(f1103,plain,
( ~ spl21_29
| spl21_37
| ~ spl21_111 ),
inference(avatar_contradiction_clause,[],[f1102]) ).
fof(f1102,plain,
( $false
| ~ spl21_29
| spl21_37
| ~ spl21_111 ),
inference(trivial_inequality_removal,[],[f1101]) ).
fof(f1101,plain,
( op(e2,e2) != op(e2,e2)
| ~ spl21_29
| spl21_37
| ~ spl21_111 ),
inference(forward_demodulation,[],[f1100,f363]) ).
fof(f1100,plain,
( op(e2,e2) != op(op(e2,unit),e2)
| spl21_37
| ~ spl21_111 ),
inference(forward_demodulation,[],[f396,f691]) ).
fof(f396,plain,
( op(op(e2,unit),e2) != op(e2,op(unit,e2))
| spl21_37 ),
inference(avatar_component_clause,[],[f394]) ).
fof(f394,plain,
( spl21_37
<=> op(op(e2,unit),e2) = op(e2,op(unit,e2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_37])]) ).
fof(f1096,plain,
( ~ spl21_7
| ~ spl21_12
| ~ spl21_15
| spl21_36
| ~ spl21_150 ),
inference(avatar_contradiction_clause,[],[f1095]) ).
fof(f1095,plain,
( $false
| ~ spl21_7
| ~ spl21_12
| ~ spl21_15
| spl21_36
| ~ spl21_150 ),
inference(subsumption_resolution,[],[f1094,f298]) ).
fof(f1094,plain,
( op(e2,e2) != unit
| ~ spl21_7
| ~ spl21_12
| spl21_36
| ~ spl21_150 ),
inference(forward_demodulation,[],[f1093,f286]) ).
fof(f1093,plain,
( op(e2,e2) != op(e3,e3)
| ~ spl21_7
| spl21_36
| ~ spl21_150 ),
inference(forward_demodulation,[],[f1092,f893]) ).
fof(f1092,plain,
( op(e3,e3) != op(op(e3,e1),e2)
| ~ spl21_7
| spl21_36 ),
inference(forward_demodulation,[],[f392,f263]) ).
fof(f392,plain,
( op(op(e3,e1),e2) != op(e3,op(e1,e2))
| spl21_36 ),
inference(avatar_component_clause,[],[f390]) ).
fof(f390,plain,
( spl21_36
<=> op(op(e3,e1),e2) = op(e3,op(e1,e2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_36])]) ).
fof(f1091,plain,
( spl21_35
| ~ spl21_42
| ~ spl21_111
| ~ spl21_175 ),
inference(avatar_contradiction_clause,[],[f1090]) ).
fof(f1090,plain,
( $false
| spl21_35
| ~ spl21_42
| ~ spl21_111
| ~ spl21_175 ),
inference(subsumption_resolution,[],[f1089,f1037]) ).
fof(f1089,plain,
( e2 != op(e1,e3)
| spl21_35
| ~ spl21_42
| ~ spl21_111
| ~ spl21_175 ),
inference(forward_demodulation,[],[f1088,f691]) ).
fof(f1088,plain,
( op(e1,e3) != op(unit,e2)
| spl21_35
| ~ spl21_42
| ~ spl21_175 ),
inference(forward_demodulation,[],[f1087,f415]) ).
fof(f1087,plain,
( op(unit,e2) != op(op(unit,e1),e3)
| spl21_35
| ~ spl21_175 ),
inference(forward_demodulation,[],[f388,f1037]) ).
fof(f388,plain,
( op(op(unit,e1),e3) != op(unit,op(e1,e3))
| spl21_35 ),
inference(avatar_component_clause,[],[f386]) ).
fof(f386,plain,
( spl21_35
<=> op(op(unit,e1),e3) = op(unit,op(e1,e3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_35])]) ).
fof(f1081,plain,
( ~ spl21_15
| ~ spl21_29
| spl21_34
| ~ spl21_111 ),
inference(avatar_contradiction_clause,[],[f1080]) ).
fof(f1080,plain,
( $false
| ~ spl21_15
| ~ spl21_29
| spl21_34
| ~ spl21_111 ),
inference(subsumption_resolution,[],[f1079,f691]) ).
fof(f1079,plain,
( e2 != op(unit,e2)
| ~ spl21_15
| ~ spl21_29
| spl21_34 ),
inference(forward_demodulation,[],[f1078,f363]) ).
fof(f1078,plain,
( op(unit,e2) != op(e2,unit)
| ~ spl21_15
| spl21_34 ),
inference(forward_demodulation,[],[f384,f298]) ).
fof(f384,plain,
( op(op(e2,e2),e2) != op(e2,op(e2,e2))
| spl21_34 ),
inference(avatar_component_clause,[],[f382]) ).
fof(f382,plain,
( spl21_34
<=> op(op(e2,e2),e2) = op(e2,op(e2,e2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_34])]) ).
fof(f1077,plain,
( ~ spl21_12
| ~ spl21_32
| spl21_33
| ~ spl21_149
| ~ spl21_175 ),
inference(avatar_contradiction_clause,[],[f1076]) ).
fof(f1076,plain,
( $false
| ~ spl21_12
| ~ spl21_32
| spl21_33
| ~ spl21_149
| ~ spl21_175 ),
inference(subsumption_resolution,[],[f1075,f888]) ).
fof(f1075,plain,
( e1 != op(e2,e3)
| ~ spl21_12
| ~ spl21_32
| spl21_33
| ~ spl21_175 ),
inference(forward_demodulation,[],[f1074,f1037]) ).
fof(f1074,plain,
( e1 != op(op(e1,e3),e3)
| ~ spl21_12
| ~ spl21_32
| spl21_33 ),
inference(forward_demodulation,[],[f1073,f375]) ).
fof(f1073,plain,
( op(op(e1,e3),e3) != op(e1,unit)
| ~ spl21_12
| spl21_33 ),
inference(forward_demodulation,[],[f380,f286]) ).
fof(f380,plain,
( op(op(e1,e3),e3) != op(e1,op(e3,e3))
| spl21_33 ),
inference(avatar_component_clause,[],[f378]) ).
fof(f378,plain,
( spl21_33
<=> op(op(e1,e3),e3) = op(e1,op(e3,e3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_33])]) ).
fof(f1069,plain,
( spl21_31
| ~ spl21_140
| ~ spl21_149
| ~ spl21_150
| ~ spl21_175 ),
inference(avatar_contradiction_clause,[],[f1068]) ).
fof(f1068,plain,
( $false
| spl21_31
| ~ spl21_140
| ~ spl21_149
| ~ spl21_150
| ~ spl21_175 ),
inference(subsumption_resolution,[],[f1067,f842]) ).
fof(f1067,plain,
( e1 != op(e3,e2)
| spl21_31
| ~ spl21_149
| ~ spl21_150
| ~ spl21_175 ),
inference(backward_demodulation,[],[f1066,f1037]) ).
fof(f1066,plain,
( e1 != op(e3,op(e1,e3))
| spl21_31
| ~ spl21_149
| ~ spl21_150 ),
inference(forward_demodulation,[],[f1065,f888]) ).
fof(f1065,plain,
( op(e2,e3) != op(e3,op(e1,e3))
| spl21_31
| ~ spl21_150 ),
inference(backward_demodulation,[],[f372,f893]) ).
fof(f372,plain,
( op(op(e3,e1),e3) != op(e3,op(e1,e3))
| spl21_31 ),
inference(avatar_component_clause,[],[f370]) ).
fof(f370,plain,
( spl21_31
<=> op(op(e3,e1),e3) = op(e3,op(e1,e3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_31])]) ).
fof(f1062,plain,
( ~ spl21_13
| spl21_30
| ~ spl21_32
| ~ spl21_42 ),
inference(avatar_contradiction_clause,[],[f1061]) ).
fof(f1061,plain,
( $false
| ~ spl21_13
| spl21_30
| ~ spl21_32
| ~ spl21_42 ),
inference(subsumption_resolution,[],[f1060,f415]) ).
fof(f1060,plain,
( e1 != op(unit,e1)
| ~ spl21_13
| spl21_30
| ~ spl21_32 ),
inference(forward_demodulation,[],[f1059,f375]) ).
fof(f1059,plain,
( op(unit,e1) != op(e1,unit)
| ~ spl21_13
| spl21_30 ),
inference(backward_demodulation,[],[f368,f290]) ).
fof(f368,plain,
( op(op(e1,e1),e1) != op(e1,op(e1,e1))
| spl21_30 ),
inference(avatar_component_clause,[],[f366]) ).
fof(f366,plain,
( spl21_30
<=> op(op(e1,e1),e1) = op(e1,op(e1,e1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_30])]) ).
fof(f1057,plain,
( spl21_28
| ~ spl21_42
| ~ spl21_47 ),
inference(avatar_contradiction_clause,[],[f1056]) ).
fof(f1056,plain,
( $false
| spl21_28
| ~ spl21_42
| ~ spl21_47 ),
inference(trivial_inequality_removal,[],[f1055]) ).
fof(f1055,plain,
( op(e3,e1) != op(e3,e1)
| spl21_28
| ~ spl21_42
| ~ spl21_47 ),
inference(forward_demodulation,[],[f1054,f415]) ).
fof(f1054,plain,
( op(e3,e1) != op(e3,op(unit,e1))
| spl21_28
| ~ spl21_47 ),
inference(forward_demodulation,[],[f360,f435]) ).
fof(f360,plain,
( op(e3,op(unit,e1)) != op(op(e3,unit),e1)
| spl21_28 ),
inference(avatar_component_clause,[],[f358]) ).
fof(f358,plain,
( spl21_28
<=> op(e3,op(unit,e1)) = op(op(e3,unit),e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_28])]) ).
fof(f1053,plain,
( ~ spl21_11
| spl21_27 ),
inference(avatar_contradiction_clause,[],[f1052]) ).
fof(f1052,plain,
( $false
| ~ spl21_11
| spl21_27 ),
inference(trivial_inequality_removal,[],[f1051]) ).
fof(f1051,plain,
( op(unit,unit) != op(unit,unit)
| ~ spl21_11
| spl21_27 ),
inference(backward_demodulation,[],[f356,f282]) ).
fof(f356,plain,
( op(unit,op(unit,unit)) != op(op(unit,unit),unit)
| spl21_27 ),
inference(avatar_component_clause,[],[f354]) ).
fof(f354,plain,
( spl21_27
<=> op(unit,op(unit,unit)) = op(op(unit,unit),unit) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_27])]) ).
fof(f1050,plain,
spl21_32,
inference(avatar_split_clause,[],[f173,f374]) ).
fof(f173,plain,
e1 = op(e1,unit),
inference(definition_unfolding,[],[f61,f71]) ).
fof(f71,plain,
e0 = unit,
inference(cnf_transformation,[],[f3]) ).
fof(f3,axiom,
e0 = unit,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax3) ).
fof(f61,plain,
e1 = op(e1,e0),
inference(cnf_transformation,[],[f2]) ).
fof(f2,axiom,
( e2 = op(e1,e3)
& e2 = op(e2,e0)
& e2 = op(e0,e2)
& e3 = op(e0,e3)
& e0 = op(e2,e2)
& e3 = op(e2,e1)
& e3 = op(e3,e0)
& e2 = op(e3,e1)
& e0 = op(e3,e3)
& e1 = op(e1,e0)
& e1 = op(e0,e1)
& e1 = op(e2,e3)
& e1 = op(e3,e2)
& e3 = op(e1,e2)
& e0 = op(e1,e1)
& e0 = op(e0,e0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax2) ).
fof(f1040,plain,
spl21_175,
inference(avatar_split_clause,[],[f70,f1036]) ).
fof(f70,plain,
e2 = op(e1,e3),
inference(cnf_transformation,[],[f2]) ).
fof(f1039,plain,
( ~ spl21_175
| ~ spl21_108 ),
inference(avatar_split_clause,[],[f138,f678,f1036]) ).
fof(f678,plain,
( spl21_108
<=> sP4 ),
introduced(avatar_definition,[new_symbols(naming,[spl21_108])]) ).
fof(f138,plain,
( ~ sP4
| e2 != op(e1,e3) ),
inference(cnf_transformation,[],[f46]) ).
fof(f46,plain,
( ( e1 != op(e1,e3)
& e2 != op(e1,e3)
& e3 != op(e1,e3)
& e0 != op(e1,e3) )
| ~ sP4 ),
inference(nnf_transformation,[],[f12]) ).
fof(f12,plain,
( ( e1 != op(e1,e3)
& e2 != op(e1,e3)
& e3 != op(e1,e3)
& e0 != op(e1,e3) )
| ~ sP4 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP4])]) ).
fof(f1029,plain,
spl21_156,
inference(avatar_split_clause,[],[f54,f928]) ).
fof(f54,plain,
e1 = inv(e1),
inference(cnf_transformation,[],[f4]) ).
fof(f4,axiom,
( e1 = inv(e1)
& e0 = inv(e0)
& e2 = inv(e2)
& e3 = inv(e3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax4) ).
fof(f1017,plain,
spl21_25,
inference(avatar_split_clause,[],[f65,f345]) ).
fof(f65,plain,
e3 = op(e2,e1),
inference(cnf_transformation,[],[f2]) ).
fof(f1011,plain,
( ~ spl21_47
| ~ spl21_46 ),
inference(avatar_split_clause,[],[f206,f430,f434]) ).
fof(f430,plain,
( spl21_46
<=> sP10 ),
introduced(avatar_definition,[new_symbols(naming,[spl21_46])]) ).
fof(f206,plain,
( ~ sP10
| e3 != op(e3,unit) ),
inference(definition_unfolding,[],[f114,f71]) ).
fof(f114,plain,
( e3 != op(e3,e0)
| ~ sP10 ),
inference(cnf_transformation,[],[f40]) ).
fof(f40,plain,
( ( e1 != op(e3,e0)
& e3 != op(e3,e0)
& e0 != op(e3,e0)
& e2 != op(e3,e0) )
| ~ sP10 ),
inference(nnf_transformation,[],[f18]) ).
fof(f18,plain,
( ( e1 != op(e3,e0)
& e3 != op(e3,e0)
& e0 != op(e3,e0)
& e2 != op(e3,e0) )
| ~ sP10 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP10])]) ).
fof(f1010,plain,
( ~ spl21_2
| ~ spl21_29 ),
inference(avatar_split_clause,[],[f193,f362,f239]) ).
fof(f239,plain,
( spl21_2
<=> sP15 ),
introduced(avatar_definition,[new_symbols(naming,[spl21_2])]) ).
fof(f193,plain,
( e2 != op(e2,unit)
| ~ sP15 ),
inference(definition_unfolding,[],[f93,f71]) ).
fof(f93,plain,
( e2 != op(e2,e0)
| ~ sP15 ),
inference(cnf_transformation,[],[f35]) ).
fof(f35,plain,
( ( e3 != op(e2,e0)
& e1 != op(e2,e0)
& e2 != op(e2,e0)
& e0 != op(e2,e0) )
| ~ sP15 ),
inference(nnf_transformation,[],[f23]) ).
fof(f23,plain,
( ( e3 != op(e2,e0)
& e1 != op(e2,e0)
& e2 != op(e2,e0)
& e0 != op(e2,e0) )
| ~ sP15 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP15])]) ).
fof(f1008,plain,
( ~ spl21_15
| ~ spl21_23 ),
inference(avatar_split_clause,[],[f213,f336,f297]) ).
fof(f336,plain,
( spl21_23
<=> sP5 ),
introduced(avatar_definition,[new_symbols(naming,[spl21_23])]) ).
fof(f213,plain,
( ~ sP5
| op(e2,e2) != unit ),
inference(definition_unfolding,[],[f132,f71]) ).
fof(f132,plain,
( e0 != op(e2,e2)
| ~ sP5 ),
inference(cnf_transformation,[],[f45]) ).
fof(f45,plain,
( ( e3 != op(e2,e2)
& e1 != op(e2,e2)
& e2 != op(e2,e2)
& e0 != op(e2,e2) )
| ~ sP5 ),
inference(nnf_transformation,[],[f13]) ).
fof(f13,plain,
( ( e3 != op(e2,e2)
& e1 != op(e2,e2)
& e2 != op(e2,e2)
& e0 != op(e2,e2) )
| ~ sP5 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP5])]) ).
fof(f997,plain,
spl21_152,
inference(avatar_split_clause,[],[f166,f905]) ).
fof(f166,plain,
unit = inv(unit),
inference(definition_unfolding,[],[f53,f71,f71]) ).
fof(f53,plain,
e0 = inv(e0),
inference(cnf_transformation,[],[f4]) ).
fof(f996,plain,
spl21_47,
inference(avatar_split_clause,[],[f171,f434]) ).
fof(f171,plain,
e3 = op(e3,unit),
inference(definition_unfolding,[],[f64,f71]) ).
fof(f64,plain,
e3 = op(e3,e0),
inference(cnf_transformation,[],[f2]) ).
fof(f943,plain,
spl21_107,
inference(avatar_split_clause,[],[f169,f674]) ).
fof(f169,plain,
e3 = op(unit,e3),
inference(definition_unfolding,[],[f67,f71]) ).
fof(f67,plain,
e3 = op(e0,e3),
inference(cnf_transformation,[],[f2]) ).
fof(f937,plain,
spl21_140,
inference(avatar_split_clause,[],[f58,f841]) ).
fof(f58,plain,
e1 = op(e3,e2),
inference(cnf_transformation,[],[f2]) ).
fof(f931,plain,
( ~ spl21_86
| ~ spl21_156 ),
inference(avatar_split_clause,[],[f148,f928,f590]) ).
fof(f590,plain,
( spl21_86
<=> sP1 ),
introduced(avatar_definition,[new_symbols(naming,[spl21_86])]) ).
fof(f148,plain,
( e1 != inv(e1)
| ~ sP1 ),
inference(cnf_transformation,[],[f49]) ).
fof(f49,plain,
( ( e3 != inv(e1)
& e0 != inv(e1)
& e2 != inv(e1)
& e1 != inv(e1) )
| ~ sP1 ),
inference(nnf_transformation,[],[f9]) ).
fof(f9,plain,
( ( e3 != inv(e1)
& e0 != inv(e1)
& e2 != inv(e1)
& e1 != inv(e1) )
| ~ sP1 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])]) ).
fof(f916,plain,
( ~ spl21_107
| ~ spl21_16 ),
inference(avatar_split_clause,[],[f195,f304,f674]) ).
fof(f304,plain,
( spl21_16
<=> sP14 ),
introduced(avatar_definition,[new_symbols(naming,[spl21_16])]) ).
fof(f195,plain,
( ~ sP14
| e3 != op(unit,e3) ),
inference(definition_unfolding,[],[f99,f71]) ).
fof(f99,plain,
( e3 != op(e0,e3)
| ~ sP14 ),
inference(cnf_transformation,[],[f36]) ).
fof(f36,plain,
( ( e3 != op(e0,e3)
& e2 != op(e0,e3)
& e0 != op(e0,e3)
& e1 != op(e0,e3) )
| ~ sP14 ),
inference(nnf_transformation,[],[f22]) ).
fof(f22,plain,
( ( e3 != op(e0,e3)
& e2 != op(e0,e3)
& e0 != op(e0,e3)
& e1 != op(e0,e3) )
| ~ sP14 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP14])]) ).
fof(f915,plain,
( ~ spl21_58
| ~ spl21_111 ),
inference(avatar_split_clause,[],[f184,f690,f478]) ).
fof(f478,plain,
( spl21_58
<=> sP18 ),
introduced(avatar_definition,[new_symbols(naming,[spl21_58])]) ).
fof(f184,plain,
( e2 != op(unit,e2)
| ~ sP18 ),
inference(definition_unfolding,[],[f81,f71]) ).
fof(f81,plain,
( e2 != op(e0,e2)
| ~ sP18 ),
inference(cnf_transformation,[],[f32]) ).
fof(f32,plain,
( ( e1 != op(e0,e2)
& e3 != op(e0,e2)
& e2 != op(e0,e2)
& e0 != op(e0,e2) )
| ~ sP18 ),
inference(nnf_transformation,[],[f26]) ).
fof(f26,plain,
( ( e1 != op(e0,e2)
& e3 != op(e0,e2)
& e2 != op(e0,e2)
& e0 != op(e0,e2) )
| ~ sP18 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP18])]) ).
fof(f914,plain,
spl21_149,
inference(avatar_split_clause,[],[f59,f887]) ).
fof(f59,plain,
e1 = op(e2,e3),
inference(cnf_transformation,[],[f2]) ).
fof(f908,plain,
( ~ spl21_26
| ~ spl21_152 ),
inference(avatar_split_clause,[],[f202,f905,f350]) ).
fof(f350,plain,
( spl21_26
<=> sP13 ),
introduced(avatar_definition,[new_symbols(naming,[spl21_26])]) ).
fof(f202,plain,
( unit != inv(unit)
| ~ sP13 ),
inference(definition_unfolding,[],[f100,f71,f71]) ).
fof(f100,plain,
( e0 != inv(e0)
| ~ sP13 ),
inference(cnf_transformation,[],[f37]) ).
fof(f37,plain,
( ( e1 != inv(e0)
& e2 != inv(e0)
& e3 != inv(e0)
& e0 != inv(e0) )
| ~ sP13 ),
inference(nnf_transformation,[],[f21]) ).
fof(f21,plain,
( ( e1 != inv(e0)
& e2 != inv(e0)
& e3 != inv(e0)
& e0 != inv(e0) )
| ~ sP13 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP13])]) ).
fof(f903,plain,
spl21_150,
inference(avatar_split_clause,[],[f63,f892]) ).
fof(f63,plain,
e2 = op(e3,e1),
inference(cnf_transformation,[],[f2]) ).
fof(f902,plain,
spl21_111,
inference(avatar_split_clause,[],[f168,f690]) ).
fof(f168,plain,
e2 = op(unit,e2),
inference(definition_unfolding,[],[f68,f71]) ).
fof(f68,plain,
e2 = op(e0,e2),
inference(cnf_transformation,[],[f2]) ).
fof(f901,plain,
spl21_7,
inference(avatar_split_clause,[],[f57,f262]) ).
fof(f57,plain,
e3 = op(e1,e2),
inference(cnf_transformation,[],[f2]) ).
fof(f895,plain,
( ~ spl21_21
| ~ spl21_150 ),
inference(avatar_split_clause,[],[f109,f892,f326]) ).
fof(f326,plain,
( spl21_21
<=> sP11 ),
introduced(avatar_definition,[new_symbols(naming,[spl21_21])]) ).
fof(f109,plain,
( e2 != op(e3,e1)
| ~ sP11 ),
inference(cnf_transformation,[],[f39]) ).
fof(f39,plain,
( ( e0 != op(e3,e1)
& e1 != op(e3,e1)
& e2 != op(e3,e1)
& e3 != op(e3,e1) )
| ~ sP11 ),
inference(nnf_transformation,[],[f19]) ).
fof(f19,plain,
( ( e0 != op(e3,e1)
& e1 != op(e3,e1)
& e2 != op(e3,e1)
& e3 != op(e3,e1) )
| ~ sP11 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP11])]) ).
fof(f890,plain,
( ~ spl21_149
| ~ spl21_67 ),
inference(avatar_split_clause,[],[f107,f514,f887]) ).
fof(f514,plain,
( spl21_67
<=> sP12 ),
introduced(avatar_definition,[new_symbols(naming,[spl21_67])]) ).
fof(f107,plain,
( ~ sP12
| e1 != op(e2,e3) ),
inference(cnf_transformation,[],[f38]) ).
fof(f38,plain,
( ( e1 != op(e2,e3)
& e3 != op(e2,e3)
& e2 != op(e2,e3)
& e0 != op(e2,e3) )
| ~ sP12 ),
inference(nnf_transformation,[],[f20]) ).
fof(f20,plain,
( ( e1 != op(e2,e3)
& e3 != op(e2,e3)
& e2 != op(e2,e3)
& e0 != op(e2,e3) )
| ~ sP12 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP12])]) ).
fof(f860,plain,
( ~ spl21_32
| ~ spl21_96 ),
inference(avatar_split_clause,[],[f181,f630,f374]) ).
fof(f630,plain,
( spl21_96
<=> sP19 ),
introduced(avatar_definition,[new_symbols(naming,[spl21_96])]) ).
fof(f181,plain,
( ~ sP19
| e1 != op(e1,unit) ),
inference(definition_unfolding,[],[f76,f71]) ).
fof(f76,plain,
( e1 != op(e1,e0)
| ~ sP19 ),
inference(cnf_transformation,[],[f31]) ).
fof(f31,plain,
( ( e3 != op(e1,e0)
& e2 != op(e1,e0)
& e0 != op(e1,e0)
& e1 != op(e1,e0) )
| ~ sP19 ),
inference(nnf_transformation,[],[f27]) ).
fof(f27,plain,
( ( e3 != op(e1,e0)
& e2 != op(e1,e0)
& e0 != op(e1,e0)
& e1 != op(e1,e0) )
| ~ sP19 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP19])]) ).
fof(f844,plain,
( ~ spl21_140
| ~ spl21_62 ),
inference(avatar_split_clause,[],[f126,f494,f841]) ).
fof(f494,plain,
( spl21_62
<=> sP7 ),
introduced(avatar_definition,[new_symbols(naming,[spl21_62])]) ).
fof(f126,plain,
( ~ sP7
| e1 != op(e3,e2) ),
inference(cnf_transformation,[],[f43]) ).
fof(f43,plain,
( ( e2 != op(e3,e2)
& e1 != op(e3,e2)
& e0 != op(e3,e2)
& e3 != op(e3,e2) )
| ~ sP7 ),
inference(nnf_transformation,[],[f15]) ).
fof(f15,plain,
( ( e2 != op(e3,e2)
& e1 != op(e3,e2)
& e0 != op(e3,e2)
& e3 != op(e3,e2) )
| ~ sP7 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP7])]) ).
fof(f839,plain,
( ~ spl21_41
| ~ spl21_12 ),
inference(avatar_split_clause,[],[f209,f285,f410]) ).
fof(f410,plain,
( spl21_41
<=> sP9 ),
introduced(avatar_definition,[new_symbols(naming,[spl21_41])]) ).
fof(f209,plain,
( op(e3,e3) != unit
| ~ sP9 ),
inference(definition_unfolding,[],[f117,f71]) ).
fof(f117,plain,
( e0 != op(e3,e3)
| ~ sP9 ),
inference(cnf_transformation,[],[f41]) ).
fof(f41,plain,
( ( e3 != op(e3,e3)
& e1 != op(e3,e3)
& e0 != op(e3,e3)
& e2 != op(e3,e3) )
| ~ sP9 ),
inference(nnf_transformation,[],[f17]) ).
fof(f17,plain,
( ( e3 != op(e3,e3)
& e1 != op(e3,e3)
& e0 != op(e3,e3)
& e2 != op(e3,e3) )
| ~ sP9 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP9])]) ).
fof(f833,plain,
spl21_11,
inference(avatar_split_clause,[],[f176,f281]) ).
fof(f176,plain,
unit = op(unit,unit),
inference(definition_unfolding,[],[f55,f71,f71,f71]) ).
fof(f55,plain,
e0 = op(e0,e0),
inference(cnf_transformation,[],[f2]) ).
fof(f812,plain,
( ~ spl21_42
| ~ spl21_44 ),
inference(avatar_split_clause,[],[f220,f422,f414]) ).
fof(f422,plain,
( spl21_44
<=> sP0 ),
introduced(avatar_definition,[new_symbols(naming,[spl21_44])]) ).
fof(f220,plain,
( ~ sP0
| e1 != op(unit,e1) ),
inference(definition_unfolding,[],[f153,f71]) ).
fof(f153,plain,
( e1 != op(e0,e1)
| ~ sP0 ),
inference(cnf_transformation,[],[f50]) ).
fof(f50,plain,
( ( e0 != op(e0,e1)
& e2 != op(e0,e1)
& e1 != op(e0,e1)
& e3 != op(e0,e1) )
| ~ sP0 ),
inference(nnf_transformation,[],[f8]) ).
fof(f8,plain,
( ( e0 != op(e0,e1)
& e2 != op(e0,e1)
& e1 != op(e0,e1)
& e3 != op(e0,e1) )
| ~ sP0 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
fof(f806,plain,
spl21_29,
inference(avatar_split_clause,[],[f167,f362]) ).
fof(f167,plain,
e2 = op(e2,unit),
inference(definition_unfolding,[],[f69,f71]) ).
fof(f69,plain,
e2 = op(e2,e0),
inference(cnf_transformation,[],[f2]) ).
fof(f805,plain,
~ spl21_69,
inference(avatar_split_clause,[],[f231,f522]) ).
fof(f522,plain,
( spl21_69
<=> sP8 ),
introduced(avatar_definition,[new_symbols(naming,[spl21_69])]) ).
fof(f231,plain,
~ sP8,
inference(trivial_inequality_removal,[],[f210]) ).
fof(f210,plain,
( unit != unit
| ~ sP8 ),
inference(definition_unfolding,[],[f121,f71]) ).
fof(f121,plain,
( e0 != unit
| ~ sP8 ),
inference(cnf_transformation,[],[f42]) ).
fof(f42,plain,
( ( e3 != unit
& e1 != unit
& e0 != unit
& e2 != unit )
| ~ sP8 ),
inference(nnf_transformation,[],[f16]) ).
fof(f16,plain,
( ( e3 != unit
& e1 != unit
& e0 != unit
& e2 != unit )
| ~ sP8 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP8])]) ).
fof(f799,plain,
spl21_42,
inference(avatar_split_clause,[],[f174,f414]) ).
fof(f174,plain,
e1 = op(unit,e1),
inference(definition_unfolding,[],[f60,f71]) ).
fof(f60,plain,
e1 = op(e0,e1),
inference(cnf_transformation,[],[f2]) ).
fof(f778,plain,
( spl21_24
| spl21_16
| spl21_62
| ~ spl21_114
| ~ spl21_48
| ~ spl21_37
| ~ spl21_45
| spl21_26
| ~ spl21_51
| ~ spl21_80
| ~ spl21_63
| ~ spl21_100
| ~ spl21_97
| spl21_58
| ~ spl21_79
| ~ spl21_31
| ~ spl21_56
| ~ spl21_38
| spl21_21
| ~ spl21_103
| ~ spl21_43
| ~ spl21_65
| ~ spl21_32
| spl21_2
| ~ spl21_76
| ~ spl21_105
| ~ spl21_83
| ~ spl21_34
| ~ spl21_81
| ~ spl21_35
| ~ spl21_28
| ~ spl21_11
| ~ spl21_102
| ~ spl21_113
| ~ spl21_75
| spl21_67
| ~ spl21_50
| spl21_46
| spl21_6
| ~ spl21_84
| spl21_108
| ~ spl21_54
| ~ spl21_70
| ~ spl21_30
| ~ spl21_85
| spl21_96
| spl21_10
| ~ spl21_98
| ~ spl21_29
| ~ spl21_106
| ~ spl21_47
| ~ spl21_53
| ~ spl21_39
| ~ spl21_82
| spl21_86
| ~ spl21_73
| ~ spl21_66
| ~ spl21_74
| ~ spl21_115
| ~ spl21_52
| ~ spl21_60
| ~ spl21_72
| spl21_44
| ~ spl21_90
| ~ spl21_87
| ~ spl21_36
| ~ spl21_89
| spl21_69
| ~ spl21_77
| ~ spl21_57
| ~ spl21_93
| ~ spl21_64
| ~ spl21_101
| ~ spl21_33
| ~ spl21_49
| ~ spl21_27
| spl21_14
| ~ spl21_107
| ~ spl21_59
| ~ spl21_111
| spl21_18
| ~ spl21_55
| spl21_4
| spl21_23
| ~ spl21_68
| spl21_41
| ~ spl21_78
| ~ spl21_95
| ~ spl21_61
| ~ spl21_92
| ~ spl21_94
| ~ spl21_110
| ~ spl21_109
| ~ spl21_88
| ~ spl21_104
| ~ spl21_42
| ~ spl21_91
| ~ spl21_112
| ~ spl21_99
| ~ spl21_40 ),
inference(avatar_split_clause,[],[f232,f406,f642,f694,f610,f414,f662,f598,f682,f686,f622,f614,f490,f626,f558,f410,f518,f336,f248,f466,f313,f690,f482,f674,f293,f354,f442,f378,f650,f502,f618,f474,f554,f522,f602,f390,f594,f606,f422,f534,f486,f454,f706,f542,f510,f538,f590,f574,f402,f458,f434,f670,f362,f638,f276,f630,f586,f366,f526,f462,f678,f582,f258,f430,f446,f514,f546,f698,f654,f281,f358,f386,f570,f382,f578,f666,f550,f239,f374,f506,f418,f658,f326,f398,f470,f370,f562,f478,f634,f646,f498,f566,f450,f350,f426,f394,f438,f702,f494,f304,f341]) ).
fof(f341,plain,
( spl21_24
<=> sP2 ),
introduced(avatar_definition,[new_symbols(naming,[spl21_24])]) ).
fof(f258,plain,
( spl21_6
<=> sP20 ),
introduced(avatar_definition,[new_symbols(naming,[spl21_6])]) ).
fof(f276,plain,
( spl21_10
<=> sP6 ),
introduced(avatar_definition,[new_symbols(naming,[spl21_10])]) ).
fof(f293,plain,
( spl21_14
<=> sP16 ),
introduced(avatar_definition,[new_symbols(naming,[spl21_14])]) ).
fof(f313,plain,
( spl21_18
<=> sP17 ),
introduced(avatar_definition,[new_symbols(naming,[spl21_18])]) ).
fof(f248,plain,
( spl21_4
<=> sP3 ),
introduced(avatar_definition,[new_symbols(naming,[spl21_4])]) ).
fof(f232,plain,
( op(e1,op(unit,e1)) != op(op(e1,unit),e1)
| op(op(e1,e3),e2) != op(e1,op(e3,e2))
| op(op(e2,unit),e1) != op(e2,op(unit,e1))
| op(op(unit,e2),e1) != op(unit,op(e2,e1))
| e1 != op(unit,e1)
| op(op(e2,e1),e1) != op(e2,op(e1,e1))
| op(op(e3,e1),e1) != op(e3,op(e1,e1))
| op(e3,op(e2,unit)) != op(op(e3,e2),unit)
| op(op(e3,e2),e1) != op(e3,op(e2,e1))
| op(e1,op(e1,unit)) != op(op(e1,e1),unit)
| op(op(e3,e2),e2) != op(e3,op(e2,e2))
| unit != op(inv(e2),e2)
| unit != op(e2,inv(e2))
| unit != op(unit,inv(unit))
| sP9
| op(unit,op(e1,e2)) != op(op(unit,e1),e2)
| sP5
| sP3
| op(op(e1,e2),e1) != op(e1,op(e2,e1))
| sP17
| e2 != op(unit,e2)
| op(unit,op(e1,unit)) != op(op(unit,e1),unit)
| e3 != op(unit,e3)
| sP16
| op(unit,op(unit,unit)) != op(op(unit,unit),unit)
| unit != op(inv(e3),e3)
| op(op(e1,e3),e3) != op(e1,op(e3,e3))
| op(e3,op(unit,e3)) != op(op(e3,unit),e3)
| op(op(e3,e2),e3) != op(e3,op(e2,e3))
| unit != op(e3,inv(e3))
| op(op(e2,e1),e3) != op(e2,op(e1,e3))
| op(unit,op(unit,e2)) != op(op(unit,unit),e2)
| sP8
| op(unit,op(e3,unit)) != op(op(unit,e3),unit)
| op(op(e3,e1),e2) != op(e3,op(e1,e2))
| op(e2,op(unit,unit)) != op(op(e2,unit),unit)
| op(op(e2,e2),e1) != op(e2,op(e2,e1))
| sP0
| unit != op(e1,inv(e1))
| op(op(e2,e1),e2) != op(e2,op(e1,e2))
| op(e2,op(e3,unit)) != op(op(e2,e3),unit)
| op(op(e2,e1),unit) != op(e2,op(e1,unit))
| op(e3,op(unit,e2)) != op(op(e3,unit),e2)
| op(op(e3,e3),e1) != op(e3,op(e3,e1))
| op(unit,op(e3,e3)) != op(op(unit,e3),e3)
| sP1
| op(op(e1,e1),e2) != op(e1,op(e1,e2))
| op(op(e2,e3),e1) != op(e2,op(e3,e1))
| op(op(e1,e3),e1) != op(e1,op(e3,e1))
| e3 != op(e3,unit)
| op(op(unit,unit),e3) != op(unit,op(unit,e3))
| e2 != op(e2,unit)
| op(op(e1,e2),e2) != op(e1,op(e2,e2))
| sP6
| sP19
| unit != op(inv(e1),e1)
| op(op(e1,e1),e1) != op(e1,op(e1,e1))
| op(op(unit,unit),e1) != op(unit,op(unit,e1))
| op(e1,op(e3,unit)) != op(op(e1,e3),unit)
| sP4
| op(op(e3,e3),e2) != op(e3,op(e3,e2))
| sP20
| sP10
| op(op(unit,e3),e1) != op(unit,op(e3,e1))
| sP12
| op(op(e1,unit),e2) != op(e1,op(unit,e2))
| op(op(e2,e3),e2) != op(e2,op(e3,e2))
| op(unit,op(e2,e3)) != op(op(unit,e2),e3)
| unit != op(unit,unit)
| op(e3,op(unit,e1)) != op(op(e3,unit),e1)
| op(op(unit,e1),e3) != op(unit,op(e1,e3))
| op(e1,op(e2,unit)) != op(op(e1,e2),unit)
| op(op(e2,e2),e2) != op(e2,op(e2,e2))
| op(unit,op(e3,e2)) != op(op(unit,e3),e2)
| unit != op(inv(unit),unit)
| op(e1,op(unit,unit)) != op(op(e1,unit),unit)
| sP15
| e1 != op(e1,unit)
| op(unit,op(e2,e2)) != op(op(unit,e2),e2)
| op(op(e1,e1),e3) != op(e1,op(e1,e3))
| op(e3,op(e1,unit)) != op(op(e3,e1),unit)
| sP11
| op(op(e3,e3),e3) != op(e3,op(e3,e3))
| op(e3,op(unit,unit)) != op(op(e3,unit),unit)
| op(op(e3,e1),e3) != op(e3,op(e1,e3))
| op(op(e2,e2),e3) != op(e2,op(e2,e3))
| sP18
| op(unit,op(e1,e1)) != op(op(unit,e1),e1)
| op(unit,op(e2,unit)) != op(op(unit,e2),unit)
| op(op(e2,unit),e3) != op(e2,op(unit,e3))
| op(op(e2,e3),e3) != op(e2,op(e3,e3))
| op(op(e1,e2),e3) != op(e1,op(e2,e3))
| sP13
| op(e2,op(e2,unit)) != op(op(e2,e2),unit)
| op(op(e2,unit),e2) != op(e2,op(unit,e2))
| op(e3,op(e3,unit)) != op(op(e3,e3),unit)
| op(e1,op(unit,e3)) != op(op(e1,unit),e3)
| sP7
| sP14
| sP2 ),
inference(duplicate_literal_removal,[],[f224]) ).
fof(f224,plain,
( op(op(e1,e1),e3) != op(e1,op(e1,e3))
| op(op(e2,unit),e2) != op(e2,op(unit,e2))
| unit != op(inv(e2),e2)
| unit != op(unit,unit)
| sP2
| e1 != op(e1,unit)
| sP14
| op(op(e3,e2),e1) != op(e3,op(e2,e1))
| op(unit,op(e1,unit)) != op(op(unit,e1),unit)
| op(op(e2,e1),e2) != op(e2,op(e1,e2))
| op(op(e2,e2),e2) != op(e2,op(e2,e2))
| sP5
| op(op(unit,e3),e1) != op(unit,op(e3,e1))
| op(e3,op(e1,unit)) != op(op(e3,e1),unit)
| sP11
| sP6
| op(op(e2,e2),e1) != op(e2,op(e2,e1))
| unit != op(inv(e3),e3)
| op(op(e1,e3),e1) != op(e1,op(e3,e1))
| op(unit,op(e3,e3)) != op(op(unit,e3),e3)
| op(e1,op(unit,e1)) != op(op(e1,unit),e1)
| op(op(e3,e3),e1) != op(e3,op(e3,e1))
| sP18
| op(op(e3,e3),e2) != op(e3,op(e3,e2))
| op(e1,op(e3,unit)) != op(op(e1,e3),unit)
| op(op(e3,e3),e3) != op(e3,op(e3,e3))
| op(op(e1,e2),e2) != op(e1,op(e2,e2))
| op(e3,op(unit,e1)) != op(op(e3,unit),e1)
| op(op(e3,e1),e2) != op(e3,op(e1,e2))
| op(e1,op(e1,unit)) != op(op(e1,e1),unit)
| op(e2,op(unit,unit)) != op(op(e2,unit),unit)
| op(unit,op(e2,e3)) != op(op(unit,e2),e3)
| op(op(e1,e3),e2) != op(e1,op(e3,e2))
| op(op(e1,unit),e2) != op(e1,op(unit,e2))
| op(op(e1,e2),e1) != op(e1,op(e2,e1))
| unit != op(inv(e1),e1)
| op(unit,op(e2,unit)) != op(op(unit,e2),unit)
| op(op(unit,e2),e1) != op(unit,op(e2,e1))
| sP19
| op(e3,op(unit,unit)) != op(op(e3,unit),unit)
| op(unit,op(unit,e2)) != op(op(unit,unit),e2)
| op(op(e2,e1),e3) != op(e2,op(e1,e3))
| sP12
| op(op(e2,e3),e2) != op(e2,op(e3,e2))
| op(e3,op(e3,unit)) != op(op(e3,e3),unit)
| op(e2,op(e3,unit)) != op(op(e2,e3),unit)
| op(op(unit,e1),e3) != op(unit,op(e1,e3))
| op(op(e1,e2),e3) != op(e1,op(e2,e3))
| op(op(unit,unit),e1) != op(unit,op(unit,e1))
| op(op(e2,unit),e3) != op(e2,op(unit,e3))
| e1 != op(unit,e1)
| unit != op(e1,inv(e1))
| sP7
| sP9
| unit != op(inv(unit),unit)
| op(op(e2,unit),e1) != op(e2,op(unit,e1))
| op(op(e3,e2),e3) != op(e3,op(e2,e3))
| op(op(e2,e2),e3) != op(e2,op(e2,e3))
| unit != op(unit,inv(unit))
| sP20
| op(op(e1,e1),e1) != op(e1,op(e1,e1))
| op(e2,op(e2,unit)) != op(op(e2,e2),unit)
| op(unit,op(unit,unit)) != op(op(unit,unit),unit)
| e3 != op(unit,e3)
| op(op(e2,e1),e1) != op(e2,op(e1,e1))
| op(unit,op(e3,e2)) != op(op(unit,e3),e2)
| op(unit,op(e1,e1)) != op(op(unit,e1),e1)
| op(op(e3,e2),e2) != op(e3,op(e2,e2))
| e2 != op(unit,e2)
| op(op(e1,e3),e3) != op(e1,op(e3,e3))
| op(e1,op(unit,unit)) != op(op(e1,unit),unit)
| op(e3,op(unit,e2)) != op(op(e3,unit),e2)
| e2 != op(e2,unit)
| sP1
| op(op(e2,e3),e1) != op(e2,op(e3,e1))
| sP16
| sP4
| sP15
| sP13
| sP8
| op(unit,op(e1,e2)) != op(op(unit,e1),e2)
| op(e1,op(unit,e3)) != op(op(e1,unit),e3)
| op(e3,op(unit,e3)) != op(op(e3,unit),e3)
| unit != op(unit,unit)
| op(op(e3,e1),e3) != op(e3,op(e1,e3))
| sP0
| op(op(e1,e1),e2) != op(e1,op(e1,e2))
| op(e1,op(e2,unit)) != op(op(e1,e2),unit)
| sP17
| unit != op(e2,inv(e2))
| e3 != op(e3,unit)
| unit != op(e3,inv(e3))
| op(op(e2,e3),e3) != op(e2,op(e3,e3))
| sP10
| op(op(unit,unit),e3) != op(unit,op(unit,e3))
| unit != op(unit,unit)
| op(op(e3,e1),e1) != op(e3,op(e1,e1))
| sP3
| op(op(e2,e1),unit) != op(e2,op(e1,unit))
| op(unit,op(e3,unit)) != op(op(unit,e3),unit)
| op(e3,op(e2,unit)) != op(op(e3,e2),unit)
| op(unit,op(e2,e2)) != op(op(unit,e2),e2) ),
inference(definition_unfolding,[],[f157,f71,f71,f71,f71,f71,f71,f71,f71,f71,f71,f71,f71,f71,f71,f71,f71,f71,f71,f71,f71,f71,f71,f71,f71,f71,f71,f71,f71,f71,f71,f71,f71,f71,f71,f71,f71,f71,f71,f71,f71,f71,f71,f71,f71,f71,f71,f71,f71,f71,f71,f71,f71,f71,f71,f71,f71,f71,f71,f71,f71,f71,f71,f71,f71,f71,f71,f71,f71,f71,f71,f71,f71,f71,f71,f71,f71,f71,f71,f71,f71,f71,f71,f71,f71,f71,f71,f71,f71,f71,f71,f71,f71,f71,f71,f71,f71,f71,f71,f71,f71,f71,f71,f71,f71,f71,f71,f71]) ).
fof(f157,plain,
( op(op(e3,e3),e0) != op(e3,op(e3,e0))
| op(op(e3,e0),e3) != op(e3,op(e0,e3))
| e0 != op(e0,e0)
| op(op(e2,e2),e2) != op(e2,op(e2,e2))
| op(op(e1,e0),e1) != op(e1,op(e0,e1))
| unit != op(inv(e1),e1)
| op(op(e2,e0),e0) != op(e2,op(e0,e0))
| op(op(e0,e3),e0) != op(e0,op(e3,e0))
| sP20
| op(op(e3,e2),e0) != op(e3,op(e2,e0))
| op(op(e2,e0),e2) != op(e2,op(e0,e2))
| op(op(e1,e3),e0) != op(e1,op(e3,e0))
| op(op(e0,e1),e0) != op(e0,op(e1,e0))
| op(op(e0,e0),e3) != op(e0,op(e0,e3))
| op(op(e2,e1),e0) != op(e2,op(e1,e0))
| op(op(e3,e1),e1) != op(e3,op(e1,e1))
| op(op(e1,e2),e2) != op(e1,op(e2,e2))
| sP19
| op(op(e2,e1),e1) != op(e2,op(e1,e1))
| sP18
| op(op(e3,e2),e2) != op(e3,op(e2,e2))
| op(op(e1,e1),e0) != op(e1,op(e1,e0))
| op(op(e3,e3),e2) != op(e3,op(e3,e2))
| sP17
| e0 != op(unit,e0)
| e1 != op(unit,e1)
| op(op(e0,e2),e2) != op(e0,op(e2,e2))
| op(op(e2,e1),e2) != op(e2,op(e1,e2))
| op(op(e3,e3),e3) != op(e3,op(e3,e3))
| unit != op(inv(e2),e2)
| op(op(e0,e1),e1) != op(e0,op(e1,e1))
| unit != op(e3,inv(e3))
| op(op(e2,e1),e3) != op(e2,op(e1,e3))
| op(op(e0,e3),e1) != op(e0,op(e3,e1))
| sP16
| op(op(e1,e0),e0) != op(e1,op(e0,e0))
| op(op(e2,e3),e3) != op(e2,op(e3,e3))
| sP15
| sP14
| op(op(e0,e2),e0) != op(e0,op(e2,e0))
| op(op(e0,e2),e1) != op(e0,op(e2,e1))
| sP13
| sP12
| e3 != op(e3,unit)
| op(op(e3,e2),e3) != op(e3,op(e2,e3))
| op(op(e0,e0),e1) != op(e0,op(e0,e1))
| op(op(e1,e1),e1) != op(e1,op(e1,e1))
| unit != op(inv(e0),e0)
| op(op(e1,e0),e2) != op(e1,op(e0,e2))
| sP11
| op(op(e2,e3),e2) != op(e2,op(e3,e2))
| sP10
| sP9
| sP8
| op(op(e3,e0),e2) != op(e3,op(e0,e2))
| sP7
| op(op(e1,e2),e1) != op(e1,op(e2,e1))
| op(op(e1,e3),e3) != op(e1,op(e3,e3))
| sP6
| op(op(e1,e1),e2) != op(e1,op(e1,e2))
| op(op(e3,e1),e2) != op(e3,op(e1,e2))
| op(op(e3,e3),e1) != op(e3,op(e3,e1))
| e3 != op(unit,e3)
| e1 != op(e1,unit)
| op(op(e1,e2),e3) != op(e1,op(e2,e3))
| e2 != op(e2,unit)
| unit != op(e2,inv(e2))
| op(op(e2,e0),e3) != op(e2,op(e0,e3))
| op(op(e0,e1),e2) != op(e0,op(e1,e2))
| op(op(e1,e3),e2) != op(e1,op(e3,e2))
| op(op(e3,e1),e0) != op(e3,op(e1,e0))
| op(op(e3,e1),e3) != op(e3,op(e1,e3))
| op(op(e3,e2),e1) != op(e3,op(e2,e1))
| op(op(e1,e0),e3) != op(e1,op(e0,e3))
| op(op(e3,e0),e1) != op(e3,op(e0,e1))
| op(op(e2,e0),e1) != op(e2,op(e0,e1))
| op(op(e2,e3),e0) != op(e2,op(e3,e0))
| sP5
| sP4
| op(op(e2,e2),e0) != op(e2,op(e2,e0))
| sP3
| op(op(e0,e0),e2) != op(e0,op(e0,e2))
| sP2
| op(op(e1,e3),e1) != op(e1,op(e3,e1))
| op(op(e0,e3),e2) != op(e0,op(e3,e2))
| unit != op(e1,inv(e1))
| op(op(e0,e1),e3) != op(e0,op(e1,e3))
| op(op(e1,e2),e0) != op(e1,op(e2,e0))
| op(op(e0,e0),e0) != op(e0,op(e0,e0))
| op(op(e3,e0),e0) != op(e3,op(e0,e0))
| op(op(e2,e2),e1) != op(e2,op(e2,e1))
| op(op(e2,e3),e1) != op(e2,op(e3,e1))
| e2 != op(unit,e2)
| sP1
| op(op(e0,e3),e3) != op(e0,op(e3,e3))
| sP0
| unit != op(inv(e3),e3)
| e0 != op(e0,unit)
| op(op(e1,e1),e3) != op(e1,op(e1,e3))
| unit != op(e0,inv(e0))
| op(op(e2,e2),e3) != op(e2,op(e2,e3))
| op(op(e0,e2),e3) != op(e0,op(e2,e3)) ),
inference(cnf_transformation,[],[f29]) ).
fof(f29,plain,
( op(op(e3,e3),e0) != op(e3,op(e3,e0))
| op(op(e3,e0),e3) != op(e3,op(e0,e3))
| ( e2 != op(e0,e0)
& e1 != op(e0,e0)
& e0 != op(e0,e0)
& e3 != op(e0,e0) )
| op(op(e2,e2),e2) != op(e2,op(e2,e2))
| op(op(e1,e0),e1) != op(e1,op(e0,e1))
| unit != op(inv(e1),e1)
| op(op(e2,e0),e0) != op(e2,op(e0,e0))
| op(op(e0,e3),e0) != op(e0,op(e3,e0))
| sP20
| op(op(e3,e2),e0) != op(e3,op(e2,e0))
| op(op(e2,e0),e2) != op(e2,op(e0,e2))
| op(op(e1,e3),e0) != op(e1,op(e3,e0))
| op(op(e0,e1),e0) != op(e0,op(e1,e0))
| op(op(e0,e0),e3) != op(e0,op(e0,e3))
| op(op(e2,e1),e0) != op(e2,op(e1,e0))
| op(op(e3,e1),e1) != op(e3,op(e1,e1))
| op(op(e1,e2),e2) != op(e1,op(e2,e2))
| sP19
| op(op(e2,e1),e1) != op(e2,op(e1,e1))
| sP18
| op(op(e3,e2),e2) != op(e3,op(e2,e2))
| op(op(e1,e1),e0) != op(e1,op(e1,e0))
| op(op(e3,e3),e2) != op(e3,op(e3,e2))
| sP17
| e0 != op(unit,e0)
| e1 != op(unit,e1)
| op(op(e0,e2),e2) != op(e0,op(e2,e2))
| op(op(e2,e1),e2) != op(e2,op(e1,e2))
| op(op(e3,e3),e3) != op(e3,op(e3,e3))
| unit != op(inv(e2),e2)
| op(op(e0,e1),e1) != op(e0,op(e1,e1))
| unit != op(e3,inv(e3))
| op(op(e2,e1),e3) != op(e2,op(e1,e3))
| op(op(e0,e3),e1) != op(e0,op(e3,e1))
| sP16
| op(op(e1,e0),e0) != op(e1,op(e0,e0))
| op(op(e2,e3),e3) != op(e2,op(e3,e3))
| sP15
| sP14
| op(op(e0,e2),e0) != op(e0,op(e2,e0))
| op(op(e0,e2),e1) != op(e0,op(e2,e1))
| sP13
| sP12
| e3 != op(e3,unit)
| op(op(e3,e2),e3) != op(e3,op(e2,e3))
| op(op(e0,e0),e1) != op(e0,op(e0,e1))
| op(op(e1,e1),e1) != op(e1,op(e1,e1))
| unit != op(inv(e0),e0)
| op(op(e1,e0),e2) != op(e1,op(e0,e2))
| sP11
| op(op(e2,e3),e2) != op(e2,op(e3,e2))
| sP10
| sP9
| sP8
| op(op(e3,e0),e2) != op(e3,op(e0,e2))
| sP7
| op(op(e1,e2),e1) != op(e1,op(e2,e1))
| op(op(e1,e3),e3) != op(e1,op(e3,e3))
| sP6
| op(op(e1,e1),e2) != op(e1,op(e1,e2))
| op(op(e3,e1),e2) != op(e3,op(e1,e2))
| op(op(e3,e3),e1) != op(e3,op(e3,e1))
| e3 != op(unit,e3)
| e1 != op(e1,unit)
| op(op(e1,e2),e3) != op(e1,op(e2,e3))
| e2 != op(e2,unit)
| unit != op(e2,inv(e2))
| op(op(e2,e0),e3) != op(e2,op(e0,e3))
| op(op(e0,e1),e2) != op(e0,op(e1,e2))
| op(op(e1,e3),e2) != op(e1,op(e3,e2))
| op(op(e3,e1),e0) != op(e3,op(e1,e0))
| op(op(e3,e1),e3) != op(e3,op(e1,e3))
| op(op(e3,e2),e1) != op(e3,op(e2,e1))
| op(op(e1,e0),e3) != op(e1,op(e0,e3))
| op(op(e3,e0),e1) != op(e3,op(e0,e1))
| op(op(e2,e0),e1) != op(e2,op(e0,e1))
| op(op(e2,e3),e0) != op(e2,op(e3,e0))
| sP5
| sP4
| op(op(e2,e2),e0) != op(e2,op(e2,e0))
| sP3
| op(op(e0,e0),e2) != op(e0,op(e0,e2))
| sP2
| op(op(e1,e3),e1) != op(e1,op(e3,e1))
| op(op(e0,e3),e2) != op(e0,op(e3,e2))
| unit != op(e1,inv(e1))
| op(op(e0,e1),e3) != op(e0,op(e1,e3))
| op(op(e1,e2),e0) != op(e1,op(e2,e0))
| op(op(e0,e0),e0) != op(e0,op(e0,e0))
| op(op(e3,e0),e0) != op(e3,op(e0,e0))
| op(op(e2,e2),e1) != op(e2,op(e2,e1))
| op(op(e2,e3),e1) != op(e2,op(e3,e1))
| e2 != op(unit,e2)
| sP1
| op(op(e0,e3),e3) != op(e0,op(e3,e3))
| sP0
| unit != op(inv(e3),e3)
| e0 != op(e0,unit)
| op(op(e1,e1),e3) != op(e1,op(e1,e3))
| unit != op(e0,inv(e0))
| op(op(e2,e2),e3) != op(e2,op(e2,e3))
| op(op(e0,e2),e3) != op(e0,op(e2,e3)) ),
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(f10,plain,
( ( e2 != op(e2,e1)
& e3 != op(e2,e1)
& e0 != op(e2,e1)
& e1 != op(e2,e1) )
| ~ sP2 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP2])]) ).
fof(f11,plain,
( ( e2 != inv(e3)
& e3 != inv(e3)
& e1 != inv(e3)
& e0 != inv(e3) )
| ~ sP3 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP3])]) ).
fof(f14,plain,
( ( e0 != inv(e2)
& e1 != inv(e2)
& e3 != inv(e2)
& e2 != inv(e2) )
| ~ sP6 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP6])]) ).
fof(f24,plain,
( ( ( e0 != op(e2,e2)
| e0 != op(e1,e1)
| e0 != op(e0,e0)
| e0 != op(e3,e3) )
& ( 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(e0,e0)
| e2 != op(e1,e1) )
& ( e1 != op(e2,e2)
| e1 != op(e3,e3)
| e1 != op(e0,e0)
| e1 != op(e1,e1) ) )
| ~ sP16 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP16])]) ).
fof(f25,plain,
( ( e2 != op(e1,e1)
& e3 != op(e1,e1)
& e1 != op(e1,e1)
& e0 != op(e1,e1) )
| ~ sP17 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP17])]) ).
fof(f28,plain,
( ( e2 != op(e1,e2)
& e0 != op(e1,e2)
& e1 != op(e1,e2)
& e3 != op(e1,e2) )
| ~ sP20 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP20])]) ).
fof(f7,plain,
( op(op(e3,e3),e0) != op(e3,op(e3,e0))
| op(op(e3,e0),e3) != op(e3,op(e0,e3))
| ( e2 != op(e0,e0)
& e1 != op(e0,e0)
& e0 != op(e0,e0)
& e3 != op(e0,e0) )
| op(op(e2,e2),e2) != op(e2,op(e2,e2))
| op(op(e1,e0),e1) != op(e1,op(e0,e1))
| unit != op(inv(e1),e1)
| op(op(e2,e0),e0) != op(e2,op(e0,e0))
| op(op(e0,e3),e0) != op(e0,op(e3,e0))
| ( e2 != op(e1,e2)
& e0 != op(e1,e2)
& e1 != op(e1,e2)
& e3 != op(e1,e2) )
| op(op(e3,e2),e0) != op(e3,op(e2,e0))
| op(op(e2,e0),e2) != op(e2,op(e0,e2))
| op(op(e1,e3),e0) != op(e1,op(e3,e0))
| op(op(e0,e1),e0) != op(e0,op(e1,e0))
| op(op(e0,e0),e3) != op(e0,op(e0,e3))
| op(op(e2,e1),e0) != op(e2,op(e1,e0))
| op(op(e3,e1),e1) != op(e3,op(e1,e1))
| op(op(e1,e2),e2) != op(e1,op(e2,e2))
| ( e3 != op(e1,e0)
& e2 != op(e1,e0)
& e0 != op(e1,e0)
& e1 != op(e1,e0) )
| op(op(e2,e1),e1) != op(e2,op(e1,e1))
| ( e1 != op(e0,e2)
& e3 != op(e0,e2)
& e2 != op(e0,e2)
& e0 != op(e0,e2) )
| op(op(e3,e2),e2) != op(e3,op(e2,e2))
| op(op(e1,e1),e0) != op(e1,op(e1,e0))
| op(op(e3,e3),e2) != op(e3,op(e3,e2))
| ( e2 != op(e1,e1)
& e3 != op(e1,e1)
& e1 != op(e1,e1)
& e0 != op(e1,e1) )
| e0 != op(unit,e0)
| e1 != op(unit,e1)
| op(op(e0,e2),e2) != op(e0,op(e2,e2))
| op(op(e2,e1),e2) != op(e2,op(e1,e2))
| op(op(e3,e3),e3) != op(e3,op(e3,e3))
| unit != op(inv(e2),e2)
| op(op(e0,e1),e1) != op(e0,op(e1,e1))
| unit != op(e3,inv(e3))
| op(op(e2,e1),e3) != op(e2,op(e1,e3))
| op(op(e0,e3),e1) != op(e0,op(e3,e1))
| ( ( e0 != op(e2,e2)
| e0 != op(e1,e1)
| e0 != op(e0,e0)
| e0 != op(e3,e3) )
& ( 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(e0,e0)
| e2 != op(e1,e1) )
& ( e1 != op(e2,e2)
| e1 != op(e3,e3)
| e1 != op(e0,e0)
| e1 != op(e1,e1) ) )
| op(op(e1,e0),e0) != op(e1,op(e0,e0))
| op(op(e2,e3),e3) != op(e2,op(e3,e3))
| ( e3 != op(e2,e0)
& e1 != op(e2,e0)
& e2 != op(e2,e0)
& e0 != op(e2,e0) )
| ( e3 != op(e0,e3)
& e2 != op(e0,e3)
& e0 != op(e0,e3)
& e1 != op(e0,e3) )
| op(op(e0,e2),e0) != op(e0,op(e2,e0))
| op(op(e0,e2),e1) != op(e0,op(e2,e1))
| ( e1 != inv(e0)
& e2 != inv(e0)
& e3 != inv(e0)
& e0 != inv(e0) )
| ( e1 != op(e2,e3)
& e3 != op(e2,e3)
& e2 != op(e2,e3)
& e0 != op(e2,e3) )
| e3 != op(e3,unit)
| op(op(e3,e2),e3) != op(e3,op(e2,e3))
| op(op(e0,e0),e1) != op(e0,op(e0,e1))
| op(op(e1,e1),e1) != op(e1,op(e1,e1))
| unit != op(inv(e0),e0)
| op(op(e1,e0),e2) != op(e1,op(e0,e2))
| ( e0 != op(e3,e1)
& e1 != op(e3,e1)
& e2 != op(e3,e1)
& e3 != op(e3,e1) )
| op(op(e2,e3),e2) != op(e2,op(e3,e2))
| ( e1 != op(e3,e0)
& e3 != op(e3,e0)
& e0 != op(e3,e0)
& e2 != op(e3,e0) )
| ( e3 != op(e3,e3)
& e1 != op(e3,e3)
& e0 != op(e3,e3)
& e2 != op(e3,e3) )
| ( e3 != unit
& e1 != unit
& e0 != unit
& e2 != unit )
| op(op(e3,e0),e2) != op(e3,op(e0,e2))
| ( e2 != op(e3,e2)
& e1 != op(e3,e2)
& e0 != op(e3,e2)
& e3 != op(e3,e2) )
| op(op(e1,e2),e1) != op(e1,op(e2,e1))
| op(op(e1,e3),e3) != op(e1,op(e3,e3))
| ( e0 != inv(e2)
& e1 != inv(e2)
& e3 != inv(e2)
& e2 != inv(e2) )
| op(op(e1,e1),e2) != op(e1,op(e1,e2))
| op(op(e3,e1),e2) != op(e3,op(e1,e2))
| op(op(e3,e3),e1) != op(e3,op(e3,e1))
| e3 != op(unit,e3)
| e1 != op(e1,unit)
| op(op(e1,e2),e3) != op(e1,op(e2,e3))
| e2 != op(e2,unit)
| unit != op(e2,inv(e2))
| op(op(e2,e0),e3) != op(e2,op(e0,e3))
| op(op(e0,e1),e2) != op(e0,op(e1,e2))
| op(op(e1,e3),e2) != op(e1,op(e3,e2))
| op(op(e3,e1),e0) != op(e3,op(e1,e0))
| op(op(e3,e1),e3) != op(e3,op(e1,e3))
| op(op(e3,e2),e1) != op(e3,op(e2,e1))
| op(op(e1,e0),e3) != op(e1,op(e0,e3))
| op(op(e3,e0),e1) != op(e3,op(e0,e1))
| op(op(e2,e0),e1) != op(e2,op(e0,e1))
| op(op(e2,e3),e0) != op(e2,op(e3,e0))
| ( e3 != op(e2,e2)
& e1 != op(e2,e2)
& e2 != op(e2,e2)
& e0 != op(e2,e2) )
| ( e1 != op(e1,e3)
& e2 != op(e1,e3)
& e3 != op(e1,e3)
& e0 != op(e1,e3) )
| op(op(e2,e2),e0) != op(e2,op(e2,e0))
| ( e2 != inv(e3)
& e3 != inv(e3)
& e1 != inv(e3)
& e0 != inv(e3) )
| op(op(e0,e0),e2) != op(e0,op(e0,e2))
| ( e2 != op(e2,e1)
& e3 != op(e2,e1)
& e0 != op(e2,e1)
& e1 != op(e2,e1) )
| op(op(e1,e3),e1) != op(e1,op(e3,e1))
| op(op(e0,e3),e2) != op(e0,op(e3,e2))
| unit != op(e1,inv(e1))
| op(op(e0,e1),e3) != op(e0,op(e1,e3))
| op(op(e1,e2),e0) != op(e1,op(e2,e0))
| op(op(e0,e0),e0) != op(e0,op(e0,e0))
| op(op(e3,e0),e0) != op(e3,op(e0,e0))
| op(op(e2,e2),e1) != op(e2,op(e2,e1))
| op(op(e2,e3),e1) != op(e2,op(e3,e1))
| e2 != op(unit,e2)
| ( e3 != inv(e1)
& e0 != inv(e1)
& e2 != inv(e1)
& e1 != inv(e1) )
| op(op(e0,e3),e3) != op(e0,op(e3,e3))
| ( e0 != op(e0,e1)
& e2 != op(e0,e1)
& e1 != op(e0,e1)
& e3 != op(e0,e1) )
| unit != op(inv(e3),e3)
| e0 != op(e0,unit)
| op(op(e1,e1),e3) != op(e1,op(e1,e3))
| unit != op(e0,inv(e0))
| op(op(e2,e2),e3) != op(e2,op(e2,e3))
| op(op(e0,e2),e3) != op(e0,op(e2,e3)) ),
inference(ennf_transformation,[],[f6]) ).
fof(f6,negated_conjecture,
~ ( op(op(e1,e3),e1) = op(e1,op(e3,e1))
& op(op(e2,e0),e2) = op(e2,op(e0,e2))
& ( e0 = op(e0,e2)
| e2 = op(e0,e2)
| e3 = op(e0,e2)
| e1 = op(e0,e2) )
& ( ( e2 = op(e0,e0)
& e2 = op(e1,e1)
& e2 = op(e2,e2)
& e2 = op(e3,e3) )
| ( e3 = op(e3,e3)
& e3 = op(e2,e2)
& e3 = op(e1,e1)
& e3 = op(e0,e0) )
| ( e1 = op(e3,e3)
& e1 = op(e1,e1)
& e1 = op(e0,e0)
& e1 = op(e2,e2) )
| ( e0 = op(e1,e1)
& e0 = op(e3,e3)
& e0 = op(e0,e0)
& e0 = op(e2,e2) ) )
& op(op(e1,e0),e2) = op(e1,op(e0,e2))
& op(op(e0,e0),e3) = op(e0,op(e0,e3))
& op(op(e3,e3),e2) = op(e3,op(e3,e2))
& ( e1 = op(e1,e1)
| e3 = op(e1,e1)
| e0 = op(e1,e1)
| e2 = op(e1,e1) )
& op(op(e3,e3),e0) = op(e3,op(e3,e0))
& op(op(e2,e1),e1) = op(e2,op(e1,e1))
& ( e3 = op(e2,e1)
| e0 = op(e2,e1)
| e2 = op(e2,e1)
| e1 = op(e2,e1) )
& op(op(e3,e2),e3) = op(e3,op(e2,e3))
& ( e3 = inv(e3)
| e1 = inv(e3)
| e2 = inv(e3)
| e0 = inv(e3) )
& unit = op(inv(e1),e1)
& e3 = op(unit,e3)
& op(op(e2,e3),e0) = op(e2,op(e3,e0))
& ( e0 = op(e2,e3)
| e2 = op(e2,e3)
| e3 = op(e2,e3)
| e1 = op(e2,e3) )
& op(op(e2,e2),e2) = op(e2,op(e2,e2))
& op(op(e1,e0),e3) = op(e1,op(e0,e3))
& op(op(e1,e2),e0) = op(e1,op(e2,e0))
& ( e2 = op(e1,e3)
| e1 = op(e1,e3)
| e0 = op(e1,e3)
| e3 = op(e1,e3) )
& op(op(e3,e2),e0) = op(e3,op(e2,e0))
& ( e0 = op(e1,e0)
| e1 = op(e1,e0)
| e2 = op(e1,e0)
| e3 = op(e1,e0) )
& op(op(e2,e1),e3) = op(e2,op(e1,e3))
& op(op(e0,e0),e2) = op(e0,op(e0,e2))
& op(op(e1,e1),e2) = op(e1,op(e1,e2))
& op(op(e2,e1),e2) = op(e2,op(e1,e2))
& e2 = op(e2,unit)
& e1 = op(unit,e1)
& op(op(e3,e1),e2) = op(e3,op(e1,e2))
& unit = op(inv(e0),e0)
& op(op(e3,e1),e3) = op(e3,op(e1,e3))
& op(op(e1,e3),e0) = op(e1,op(e3,e0))
& op(op(e1,e1),e1) = op(e1,op(e1,e1))
& e0 = op(e0,unit)
& ( e2 = inv(e2)
| e0 = inv(e2)
| e3 = inv(e2)
| e1 = inv(e2) )
& op(op(e1,e2),e3) = op(e1,op(e2,e3))
& op(op(e3,e3),e1) = op(e3,op(e3,e1))
& unit = op(e3,inv(e3))
& op(op(e1,e2),e1) = op(e1,op(e2,e1))
& op(op(e0,e3),e3) = op(e0,op(e3,e3))
& op(op(e0,e0),e0) = op(e0,op(e0,e0))
& op(op(e3,e2),e1) = op(e3,op(e2,e1))
& op(op(e1,e0),e0) = op(e1,op(e0,e0))
& unit = op(inv(e2),e2)
& unit = op(e1,inv(e1))
& op(op(e1,e1),e3) = op(e1,op(e1,e3))
& op(op(e2,e2),e3) = op(e2,op(e2,e3))
& op(op(e2,e0),e3) = op(e2,op(e0,e3))
& op(op(e3,e2),e2) = op(e3,op(e2,e2))
& op(op(e1,e1),e0) = op(e1,op(e1,e0))
& op(op(e0,e2),e1) = op(e0,op(e2,e1))
& ( e0 = op(e0,e3)
| e3 = op(e0,e3)
| e1 = op(e0,e3)
| e2 = op(e0,e3) )
& unit = op(inv(e3),e3)
& op(op(e1,e3),e2) = op(e1,op(e3,e2))
& unit = op(e0,inv(e0))
& op(op(e1,e2),e2) = op(e1,op(e2,e2))
& op(op(e3,e0),e2) = op(e3,op(e0,e2))
& op(op(e2,e3),e3) = op(e2,op(e3,e3))
& op(op(e0,e2),e3) = op(e0,op(e2,e3))
& op(op(e2,e2),e0) = op(e2,op(e2,e0))
& op(op(e2,e3),e1) = op(e2,op(e3,e1))
& op(op(e2,e2),e1) = op(e2,op(e2,e1))
& e2 = op(unit,e2)
& e3 = op(e3,unit)
& op(op(e3,e1),e1) = op(e3,op(e1,e1))
& op(op(e2,e0),e1) = op(e2,op(e0,e1))
& op(op(e0,e3),e0) = op(e0,op(e3,e0))
& ( e0 = op(e3,e3)
| e1 = op(e3,e3)
| e2 = op(e3,e3)
| e3 = op(e3,e3) )
& op(op(e0,e0),e1) = op(e0,op(e0,e1))
& ( e3 = op(e0,e1)
| e0 = op(e0,e1)
| e1 = op(e0,e1)
| e2 = op(e0,e1) )
& op(op(e0,e2),e0) = op(e0,op(e2,e0))
& ( e3 = unit
| e1 = unit
| e0 = unit
| e2 = unit )
& ( e0 = op(e2,e0)
| e2 = op(e2,e0)
| e1 = op(e2,e0)
| e3 = op(e2,e0) )
& unit = op(e2,inv(e2))
& ( e2 = op(e3,e2)
| e3 = op(e3,e2)
| e0 = op(e3,e2)
| e1 = op(e3,e2) )
& ( e0 = inv(e0)
| e3 = inv(e0)
| e1 = inv(e0)
| e2 = inv(e0) )
& ( e3 = inv(e1)
| e0 = inv(e1)
| e1 = inv(e1)
| e2 = inv(e1) )
& op(op(e0,e1),e3) = op(e0,op(e1,e3))
& ( e0 = op(e3,e1)
| e1 = op(e3,e1)
| e2 = op(e3,e1)
| e3 = op(e3,e1) )
& op(op(e3,e0),e0) = op(e3,op(e0,e0))
& op(op(e2,e3),e2) = op(e2,op(e3,e2))
& ( e2 = op(e2,e2)
| e0 = op(e2,e2)
| e3 = op(e2,e2)
| e1 = op(e2,e2) )
& op(op(e0,e1),e2) = op(e0,op(e1,e2))
& op(op(e0,e2),e2) = op(e0,op(e2,e2))
& op(op(e0,e1),e0) = op(e0,op(e1,e0))
& op(op(e0,e3),e2) = op(e0,op(e3,e2))
& ( e2 = op(e3,e0)
| e0 = op(e3,e0)
| e1 = op(e3,e0)
| e3 = op(e3,e0) )
& op(op(e1,e3),e3) = op(e1,op(e3,e3))
& op(op(e2,e1),e0) = op(e2,op(e1,e0))
& op(op(e3,e0),e3) = op(e3,op(e0,e3))
& e0 = op(unit,e0)
& op(op(e3,e1),e0) = op(e3,op(e1,e0))
& op(op(e1,e0),e1) = op(e1,op(e0,e1))
& ( e3 = op(e1,e2)
| e0 = op(e1,e2)
| e1 = op(e1,e2)
| e2 = op(e1,e2) )
& op(op(e2,e0),e0) = op(e2,op(e0,e0))
& ( e3 = op(e0,e0)
| e0 = op(e0,e0)
| e2 = op(e0,e0)
| e1 = op(e0,e0) )
& op(op(e3,e0),e1) = op(e3,op(e0,e1))
& op(op(e0,e1),e1) = op(e0,op(e1,e1))
& op(op(e0,e3),e1) = op(e0,op(e3,e1))
& op(op(e3,e3),e3) = op(e3,op(e3,e3))
& e1 = op(e1,unit) ),
inference(negated_conjecture,[],[f5]) ).
fof(f5,conjecture,
( op(op(e1,e3),e1) = op(e1,op(e3,e1))
& op(op(e2,e0),e2) = op(e2,op(e0,e2))
& ( e0 = op(e0,e2)
| e2 = op(e0,e2)
| e3 = op(e0,e2)
| e1 = op(e0,e2) )
& ( ( e2 = op(e0,e0)
& e2 = op(e1,e1)
& e2 = op(e2,e2)
& e2 = op(e3,e3) )
| ( e3 = op(e3,e3)
& e3 = op(e2,e2)
& e3 = op(e1,e1)
& e3 = op(e0,e0) )
| ( e1 = op(e3,e3)
& e1 = op(e1,e1)
& e1 = op(e0,e0)
& e1 = op(e2,e2) )
| ( e0 = op(e1,e1)
& e0 = op(e3,e3)
& e0 = op(e0,e0)
& e0 = op(e2,e2) ) )
& op(op(e1,e0),e2) = op(e1,op(e0,e2))
& op(op(e0,e0),e3) = op(e0,op(e0,e3))
& op(op(e3,e3),e2) = op(e3,op(e3,e2))
& ( e1 = op(e1,e1)
| e3 = op(e1,e1)
| e0 = op(e1,e1)
| e2 = op(e1,e1) )
& op(op(e3,e3),e0) = op(e3,op(e3,e0))
& op(op(e2,e1),e1) = op(e2,op(e1,e1))
& ( e3 = op(e2,e1)
| e0 = op(e2,e1)
| e2 = op(e2,e1)
| e1 = op(e2,e1) )
& op(op(e3,e2),e3) = op(e3,op(e2,e3))
& ( e3 = inv(e3)
| e1 = inv(e3)
| e2 = inv(e3)
| e0 = inv(e3) )
& unit = op(inv(e1),e1)
& e3 = op(unit,e3)
& op(op(e2,e3),e0) = op(e2,op(e3,e0))
& ( e0 = op(e2,e3)
| e2 = op(e2,e3)
| e3 = op(e2,e3)
| e1 = op(e2,e3) )
& op(op(e2,e2),e2) = op(e2,op(e2,e2))
& op(op(e1,e0),e3) = op(e1,op(e0,e3))
& op(op(e1,e2),e0) = op(e1,op(e2,e0))
& ( e2 = op(e1,e3)
| e1 = op(e1,e3)
| e0 = op(e1,e3)
| e3 = op(e1,e3) )
& op(op(e3,e2),e0) = op(e3,op(e2,e0))
& ( e0 = op(e1,e0)
| e1 = op(e1,e0)
| e2 = op(e1,e0)
| e3 = op(e1,e0) )
& op(op(e2,e1),e3) = op(e2,op(e1,e3))
& op(op(e0,e0),e2) = op(e0,op(e0,e2))
& op(op(e1,e1),e2) = op(e1,op(e1,e2))
& op(op(e2,e1),e2) = op(e2,op(e1,e2))
& e2 = op(e2,unit)
& e1 = op(unit,e1)
& op(op(e3,e1),e2) = op(e3,op(e1,e2))
& unit = op(inv(e0),e0)
& op(op(e3,e1),e3) = op(e3,op(e1,e3))
& op(op(e1,e3),e0) = op(e1,op(e3,e0))
& op(op(e1,e1),e1) = op(e1,op(e1,e1))
& e0 = op(e0,unit)
& ( e2 = inv(e2)
| e0 = inv(e2)
| e3 = inv(e2)
| e1 = inv(e2) )
& op(op(e1,e2),e3) = op(e1,op(e2,e3))
& op(op(e3,e3),e1) = op(e3,op(e3,e1))
& unit = op(e3,inv(e3))
& op(op(e1,e2),e1) = op(e1,op(e2,e1))
& op(op(e0,e3),e3) = op(e0,op(e3,e3))
& op(op(e0,e0),e0) = op(e0,op(e0,e0))
& op(op(e3,e2),e1) = op(e3,op(e2,e1))
& op(op(e1,e0),e0) = op(e1,op(e0,e0))
& unit = op(inv(e2),e2)
& unit = op(e1,inv(e1))
& op(op(e1,e1),e3) = op(e1,op(e1,e3))
& op(op(e2,e2),e3) = op(e2,op(e2,e3))
& op(op(e2,e0),e3) = op(e2,op(e0,e3))
& op(op(e3,e2),e2) = op(e3,op(e2,e2))
& op(op(e1,e1),e0) = op(e1,op(e1,e0))
& op(op(e0,e2),e1) = op(e0,op(e2,e1))
& ( e0 = op(e0,e3)
| e3 = op(e0,e3)
| e1 = op(e0,e3)
| e2 = op(e0,e3) )
& unit = op(inv(e3),e3)
& op(op(e1,e3),e2) = op(e1,op(e3,e2))
& unit = op(e0,inv(e0))
& op(op(e1,e2),e2) = op(e1,op(e2,e2))
& op(op(e3,e0),e2) = op(e3,op(e0,e2))
& op(op(e2,e3),e3) = op(e2,op(e3,e3))
& op(op(e0,e2),e3) = op(e0,op(e2,e3))
& op(op(e2,e2),e0) = op(e2,op(e2,e0))
& op(op(e2,e3),e1) = op(e2,op(e3,e1))
& op(op(e2,e2),e1) = op(e2,op(e2,e1))
& e2 = op(unit,e2)
& e3 = op(e3,unit)
& op(op(e3,e1),e1) = op(e3,op(e1,e1))
& op(op(e2,e0),e1) = op(e2,op(e0,e1))
& op(op(e0,e3),e0) = op(e0,op(e3,e0))
& ( e0 = op(e3,e3)
| e1 = op(e3,e3)
| e2 = op(e3,e3)
| e3 = op(e3,e3) )
& op(op(e0,e0),e1) = op(e0,op(e0,e1))
& ( e3 = op(e0,e1)
| e0 = op(e0,e1)
| e1 = op(e0,e1)
| e2 = op(e0,e1) )
& op(op(e0,e2),e0) = op(e0,op(e2,e0))
& ( e3 = unit
| e1 = unit
| e0 = unit
| e2 = unit )
& ( e0 = op(e2,e0)
| e2 = op(e2,e0)
| e1 = op(e2,e0)
| e3 = op(e2,e0) )
& unit = op(e2,inv(e2))
& ( e2 = op(e3,e2)
| e3 = op(e3,e2)
| e0 = op(e3,e2)
| e1 = op(e3,e2) )
& ( e0 = inv(e0)
| e3 = inv(e0)
| e1 = inv(e0)
| e2 = inv(e0) )
& ( e3 = inv(e1)
| e0 = inv(e1)
| e1 = inv(e1)
| e2 = inv(e1) )
& op(op(e0,e1),e3) = op(e0,op(e1,e3))
& ( e0 = op(e3,e1)
| e1 = op(e3,e1)
| e2 = op(e3,e1)
| e3 = op(e3,e1) )
& op(op(e3,e0),e0) = op(e3,op(e0,e0))
& op(op(e2,e3),e2) = op(e2,op(e3,e2))
& ( e2 = op(e2,e2)
| e0 = op(e2,e2)
| e3 = op(e2,e2)
| e1 = op(e2,e2) )
& op(op(e0,e1),e2) = op(e0,op(e1,e2))
& op(op(e0,e2),e2) = op(e0,op(e2,e2))
& op(op(e0,e1),e0) = op(e0,op(e1,e0))
& op(op(e0,e3),e2) = op(e0,op(e3,e2))
& ( e2 = op(e3,e0)
| e0 = op(e3,e0)
| e1 = op(e3,e0)
| e3 = op(e3,e0) )
& op(op(e1,e3),e3) = op(e1,op(e3,e3))
& op(op(e2,e1),e0) = op(e2,op(e1,e0))
& op(op(e3,e0),e3) = op(e3,op(e0,e3))
& e0 = op(unit,e0)
& op(op(e3,e1),e0) = op(e3,op(e1,e0))
& op(op(e1,e0),e1) = op(e1,op(e0,e1))
& ( e3 = op(e1,e2)
| e0 = op(e1,e2)
| e1 = op(e1,e2)
| e2 = op(e1,e2) )
& op(op(e2,e0),e0) = op(e2,op(e0,e0))
& ( e3 = op(e0,e0)
| e0 = op(e0,e0)
| e2 = op(e0,e0)
| e1 = op(e0,e0) )
& op(op(e3,e0),e1) = op(e3,op(e0,e1))
& op(op(e0,e1),e1) = op(e0,op(e1,e1))
& op(op(e0,e3),e1) = op(e0,op(e3,e1))
& op(op(e3,e3),e3) = op(e3,op(e3,e3))
& e1 = op(e1,unit) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).
fof(f767,plain,
( ~ spl21_13
| ~ spl21_18 ),
inference(avatar_split_clause,[],[f186,f313,f289]) ).
fof(f186,plain,
( ~ sP17
| op(e1,e1) != unit ),
inference(definition_unfolding,[],[f84,f71]) ).
fof(f84,plain,
( e0 != op(e1,e1)
| ~ sP17 ),
inference(cnf_transformation,[],[f33]) ).
fof(f33,plain,
( ( e2 != op(e1,e1)
& e3 != op(e1,e1)
& e1 != op(e1,e1)
& e0 != op(e1,e1) )
| ~ sP17 ),
inference(nnf_transformation,[],[f25]) ).
fof(f761,plain,
spl21_118,
inference(avatar_split_clause,[],[f52,f721]) ).
fof(f52,plain,
e2 = inv(e2),
inference(cnf_transformation,[],[f4]) ).
fof(f735,plain,
spl21_12,
inference(avatar_split_clause,[],[f172,f285]) ).
fof(f172,plain,
op(e3,e3) = unit,
inference(definition_unfolding,[],[f62,f71]) ).
fof(f62,plain,
e0 = op(e3,e3),
inference(cnf_transformation,[],[f2]) ).
fof(f724,plain,
( ~ spl21_10
| ~ spl21_118 ),
inference(avatar_split_clause,[],[f128,f721,f276]) ).
fof(f128,plain,
( e2 != inv(e2)
| ~ sP6 ),
inference(cnf_transformation,[],[f44]) ).
fof(f44,plain,
( ( e0 != inv(e2)
& e1 != inv(e2)
& e3 != inv(e2)
& e2 != inv(e2) )
| ~ sP6 ),
inference(nnf_transformation,[],[f14]) ).
fof(f348,plain,
( ~ spl21_24
| ~ spl21_25 ),
inference(avatar_split_clause,[],[f146,f345,f341]) ).
fof(f146,plain,
( e3 != op(e2,e1)
| ~ sP2 ),
inference(cnf_transformation,[],[f48]) ).
fof(f48,plain,
( ( e2 != op(e2,e1)
& e3 != op(e2,e1)
& e0 != op(e2,e1)
& e1 != op(e2,e1) )
| ~ sP2 ),
inference(nnf_transformation,[],[f10]) ).
fof(f330,plain,
spl21_13,
inference(avatar_split_clause,[],[f175,f289]) ).
fof(f175,plain,
op(e1,e1) = unit,
inference(definition_unfolding,[],[f56,f71]) ).
fof(f56,plain,
e0 = op(e1,e1),
inference(cnf_transformation,[],[f2]) ).
fof(f302,plain,
spl21_3,
inference(avatar_split_clause,[],[f51,f244]) ).
fof(f51,plain,
e3 = inv(e3),
inference(cnf_transformation,[],[f4]) ).
fof(f301,plain,
spl21_15,
inference(avatar_split_clause,[],[f170,f297]) ).
fof(f170,plain,
op(e2,e2) = unit,
inference(definition_unfolding,[],[f66,f71]) ).
fof(f66,plain,
e0 = op(e2,e2),
inference(cnf_transformation,[],[f2]) ).
fof(f300,plain,
( ~ spl21_11
| ~ spl21_12
| ~ spl21_13
| ~ spl21_14
| ~ spl21_15 ),
inference(avatar_split_clause,[],[f187,f297,f293,f289,f285,f281]) ).
fof(f187,plain,
( op(e2,e2) != unit
| ~ sP16
| op(e1,e1) != unit
| op(e3,e3) != unit
| unit != op(unit,unit) ),
inference(definition_unfolding,[],[f91,f71,f71,f71,f71,f71,f71]) ).
fof(f91,plain,
( e0 != op(e2,e2)
| e0 != op(e1,e1)
| e0 != op(e0,e0)
| e0 != op(e3,e3)
| ~ sP16 ),
inference(cnf_transformation,[],[f34]) ).
fof(f34,plain,
( ( ( e0 != op(e2,e2)
| e0 != op(e1,e1)
| e0 != op(e0,e0)
| e0 != op(e3,e3) )
& ( 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(e0,e0)
| e2 != op(e1,e1) )
& ( e1 != op(e2,e2)
| e1 != op(e3,e3)
| e1 != op(e0,e0)
| e1 != op(e1,e1) ) )
| ~ sP16 ),
inference(nnf_transformation,[],[f24]) ).
fof(f265,plain,
( ~ spl21_6
| ~ spl21_7 ),
inference(avatar_split_clause,[],[f72,f262,f258]) ).
fof(f72,plain,
( e3 != op(e1,e2)
| ~ sP20 ),
inference(cnf_transformation,[],[f30]) ).
fof(f30,plain,
( ( e2 != op(e1,e2)
& e0 != op(e1,e2)
& e1 != op(e1,e2)
& e3 != op(e1,e2) )
| ~ sP20 ),
inference(nnf_transformation,[],[f28]) ).
fof(f251,plain,
( ~ spl21_3
| ~ spl21_4 ),
inference(avatar_split_clause,[],[f142,f248,f244]) ).
fof(f142,plain,
( ~ sP3
| e3 != inv(e3) ),
inference(cnf_transformation,[],[f47]) ).
fof(f47,plain,
( ( e2 != inv(e3)
& e3 != inv(e3)
& e1 != inv(e3)
& e0 != inv(e3) )
| ~ sP3 ),
inference(nnf_transformation,[],[f11]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : ALG021+1 : TPTP v8.1.0. Released v2.7.0.
% 0.07/0.12 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.12/0.33 % Computer : n017.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Mon Aug 29 14:14:19 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.19/0.49 % (316)lrs+10_1:1_ep=R:lcm=predicate:lma=on:sos=all:spb=goal:ss=included:i=12:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/12Mi)
% 0.19/0.49 % (333)dis+21_1:1_aac=none:abs=on:er=known:fde=none:fsr=off:nwc=5.0:s2a=on:s2at=4.0:sp=const_frequency:to=lpo:urr=ec_only:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/25Mi)
% 0.19/0.50 % (316)Instruction limit reached!
% 0.19/0.50 % (316)------------------------------
% 0.19/0.50 % (316)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.50 % (316)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.50 % (316)Termination reason: Unknown
% 0.19/0.50 % (316)Termination phase: Property scanning
% 0.19/0.50
% 0.19/0.50 % (316)Memory used [KB]: 1535
% 0.19/0.50 % (316)Time elapsed: 0.009 s
% 0.19/0.50 % (316)Instructions burned: 14 (million)
% 0.19/0.50 % (316)------------------------------
% 0.19/0.50 % (316)------------------------------
% 0.19/0.50 % (317)lrs+10_1:2_br=off:nm=4:ss=included:urr=on:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.19/0.50 % (319)lrs+10_1:32_br=off:nm=16:sd=2:ss=axioms:st=2.0:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.50 % (318)lrs+10_1:4_av=off:bs=unit_only:bsr=unit_only:ep=RS:s2a=on:sos=on:sp=frequency:to=lpo:i=16:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/16Mi)
% 0.19/0.50 % (307)lrs+10_1:1_gsp=on:sd=1:sgt=32:sos=on:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 0.19/0.50 % (306)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99978:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99978Mi)
% 0.19/0.50 % (328)dis+1010_2:3_fs=off:fsr=off:nm=0:nwc=5.0:s2a=on:s2agt=32:i=82:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/82Mi)
% 0.19/0.50 % (308)dis+1002_1:1_aac=none:bd=off:sac=on:sos=on:spb=units:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.19/0.51 % (308)Instruction limit reached!
% 0.19/0.51 % (308)------------------------------
% 0.19/0.51 % (308)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.51 % (308)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.51 % (308)Termination reason: Unknown
% 0.19/0.51 % (308)Termination phase: Property scanning
% 0.19/0.51
% 0.19/0.51 % (308)Memory used [KB]: 1535
% 0.19/0.51 % (308)Time elapsed: 0.003 s
% 0.19/0.51 % (308)Instructions burned: 4 (million)
% 0.19/0.51 % (308)------------------------------
% 0.19/0.51 % (308)------------------------------
% 0.19/0.51 % (333)Instruction limit reached!
% 0.19/0.51 % (333)------------------------------
% 0.19/0.51 % (333)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52 % (333)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52 % (333)Termination reason: Unknown
% 0.19/0.52 % (333)Termination phase: Saturation
% 0.19/0.52
% 0.19/0.52 % (333)Memory used [KB]: 6652
% 0.19/0.52 % (333)Time elapsed: 0.120 s
% 0.19/0.52 % (333)Instructions burned: 25 (million)
% 0.19/0.52 % (333)------------------------------
% 0.19/0.52 % (333)------------------------------
% 0.19/0.52 % (312)dis+1010_1:50_awrs=decay:awrsf=128:nwc=10.0:s2pl=no:sp=frequency:ss=axioms:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 1.30/0.52 % (325)dis-10_3:2_amm=sco:ep=RS:fsr=off:nm=10:sd=2:sos=on:ss=axioms:st=3.0:i=11:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/11Mi)
% 1.30/0.52 % (320)lrs+10_1:1_ins=3:sp=reverse_frequency:spb=goal:to=lpo:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 1.30/0.52 % (317)Instruction limit reached!
% 1.30/0.52 % (317)------------------------------
% 1.30/0.52 % (317)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.30/0.52 % (317)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.30/0.52 % (317)Termination reason: Unknown
% 1.30/0.52 % (317)Termination phase: Function definition elimination
% 1.30/0.52
% 1.30/0.52 % (317)Memory used [KB]: 1535
% 1.30/0.52 % (317)Time elapsed: 0.005 s
% 1.30/0.52 % (317)Instructions burned: 9 (million)
% 1.30/0.52 % (317)------------------------------
% 1.30/0.52 % (317)------------------------------
% 1.30/0.52 % (325)Instruction limit reached!
% 1.30/0.52 % (325)------------------------------
% 1.30/0.52 % (325)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.30/0.52 % (325)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.30/0.52 % (325)Termination reason: Unknown
% 1.30/0.52 % (325)Termination phase: Property scanning
% 1.30/0.52
% 1.30/0.52 % (325)Memory used [KB]: 1535
% 1.30/0.52 % (325)Time elapsed: 0.006 s
% 1.30/0.52 % (325)Instructions burned: 13 (million)
% 1.30/0.52 % (325)------------------------------
% 1.30/0.52 % (325)------------------------------
% 1.30/0.52 % (320)Instruction limit reached!
% 1.30/0.52 % (320)------------------------------
% 1.30/0.52 % (320)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.30/0.52 % (320)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.30/0.52 % (320)Termination reason: Unknown
% 1.30/0.52 % (320)Termination phase: Property scanning
% 1.30/0.52
% 1.30/0.52 % (320)Memory used [KB]: 1535
% 1.30/0.52 % (320)Time elapsed: 0.003 s
% 1.30/0.52 % (320)Instructions burned: 6 (million)
% 1.30/0.52 % (320)------------------------------
% 1.30/0.52 % (320)------------------------------
% 1.30/0.52 % (310)lrs+10_1:1024_nm=0:nwc=5.0:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 1.30/0.52 % (307)Instruction limit reached!
% 1.30/0.52 % (307)------------------------------
% 1.30/0.52 % (307)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.30/0.52 % (307)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.30/0.52 % (307)Termination reason: Unknown
% 1.30/0.52 % (307)Termination phase: Saturation
% 1.30/0.52
% 1.30/0.52 % (307)Memory used [KB]: 1535
% 1.30/0.52 % (307)Time elapsed: 0.007 s
% 1.30/0.52 % (307)Instructions burned: 14 (million)
% 1.30/0.52 % (307)------------------------------
% 1.30/0.52 % (307)------------------------------
% 1.30/0.53 % (318)Instruction limit reached!
% 1.30/0.53 % (318)------------------------------
% 1.30/0.53 % (318)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.30/0.53 % (318)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.30/0.53 % (318)Termination reason: Unknown
% 1.30/0.53 % (318)Termination phase: Property scanning
% 1.30/0.53
% 1.30/0.53 % (318)Memory used [KB]: 1535
% 1.30/0.53 % (318)Time elapsed: 0.008 s
% 1.30/0.53 % (318)Instructions burned: 18 (million)
% 1.30/0.53 % (318)------------------------------
% 1.30/0.53 % (318)------------------------------
% 1.30/0.53 % (311)dis+21_1:1_av=off:sos=on:sp=frequency:ss=included:to=lpo:i=15:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/15Mi)
% 1.30/0.53 % (324)ott+1010_1:1_sd=2:sos=on:sp=occurrence:ss=axioms:urr=on:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 1.30/0.53 % (322)lrs+1011_1:1_fd=preordered:fsd=on:sos=on:thsq=on:thsqc=64:thsqd=32:uwa=ground:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 1.30/0.53 % (309)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.30/0.53 % (324)Instruction limit reached!
% 1.30/0.53 % (324)------------------------------
% 1.30/0.53 % (324)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.30/0.53 % (324)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.30/0.53 % (324)Termination reason: Unknown
% 1.30/0.53 % (324)Termination phase: Property scanning
% 1.30/0.53
% 1.30/0.53 % (324)Memory used [KB]: 1535
% 1.30/0.53 % (324)Time elapsed: 0.003 s
% 1.30/0.53 % (324)Instructions burned: 4 (million)
% 1.30/0.53 % (324)------------------------------
% 1.30/0.53 % (324)------------------------------
% 1.30/0.53 % (321)lrs+10_1:1_drc=off:sp=reverse_frequency:spb=goal:to=lpo:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 1.30/0.53 % (332)lrs+1011_1:1_fd=preordered:fsd=on:sos=on:thsq=on:thsqc=64:thsqd=32:uwa=ground:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 1.30/0.53 % (334)dis+2_3:1_aac=none:abs=on:ep=R:lcm=reverse:nwc=10.0:sos=on:sp=const_frequency:spb=units:urr=ec_only:i=8:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/8Mi)
% 1.30/0.53 % (321)Instruction limit reached!
% 1.30/0.53 % (321)------------------------------
% 1.30/0.53 % (321)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.30/0.53 % (321)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.30/0.53 % (321)Termination reason: Unknown
% 1.30/0.53 % (321)Termination phase: Function definition elimination
% 1.30/0.53
% 1.30/0.53 % (321)Memory used [KB]: 1535
% 1.30/0.53 % (321)Time elapsed: 0.004 s
% 1.30/0.53 % (321)Instructions burned: 8 (million)
% 1.30/0.53 % (321)------------------------------
% 1.30/0.53 % (321)------------------------------
% 1.30/0.53 % (311)Instruction limit reached!
% 1.30/0.53 % (311)------------------------------
% 1.30/0.53 % (311)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.30/0.53 % (311)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.30/0.53 % (311)Termination reason: Unknown
% 1.30/0.53 % (311)Termination phase: Saturation
% 1.30/0.53
% 1.30/0.53 % (311)Memory used [KB]: 1663
% 1.30/0.53 % (311)Time elapsed: 0.008 s
% 1.30/0.53 % (311)Instructions burned: 16 (million)
% 1.30/0.53 % (311)------------------------------
% 1.30/0.53 % (311)------------------------------
% 1.30/0.53 % (334)Instruction limit reached!
% 1.30/0.53 % (334)------------------------------
% 1.30/0.53 % (334)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.30/0.53 % (334)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.30/0.53 % (334)Termination reason: Unknown
% 1.30/0.53 % (334)Termination phase: Property scanning
% 1.30/0.53
% 1.30/0.53 % (334)Memory used [KB]: 1535
% 1.30/0.53 % (334)Time elapsed: 0.005 s
% 1.30/0.53 % (334)Instructions burned: 10 (million)
% 1.30/0.53 % (334)------------------------------
% 1.30/0.53 % (334)------------------------------
% 1.30/0.53 % (313)lrs+2_1:1_lcm=reverse:lma=on:sos=all:spb=goal_then_units:ss=included:urr=on:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 1.30/0.53 % (314)dis+10_1:1_newcnf=on:sgt=8:sos=on:ss=axioms:to=lpo:urr=on:i=49:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/49Mi)
% 1.30/0.53 % (326)dis+1010_1:1_bs=on:ep=RS:erd=off:newcnf=on:nwc=10.0:s2a=on:sgt=32:ss=axioms:i=30:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/30Mi)
% 1.54/0.54 % (331)lrs+11_1:1_plsq=on:plsqc=1:plsqr=32,1:ss=included:i=95:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/95Mi)
% 1.54/0.54 % (315)lrs+10_1:1_br=off:sos=on:ss=axioms:st=2.0:urr=on:i=33:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/33Mi)
% 1.54/0.54 % (335)lrs-11_1:1_nm=0:sac=on:sd=4:ss=axioms:st=3.0:i=24:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/24Mi)
% 1.54/0.54 % (329)dis+10_1:1_av=off:sos=on:sp=reverse_arity:ss=included:st=2.0:to=lpo:urr=ec_only:i=45:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/45Mi)
% 1.54/0.54 % (330)dis+21_1:1_ep=RS:nwc=10.0:s2a=on:s2at=1.5:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 1.54/0.54 % (323)fmb+10_1:1_nm=2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 1.54/0.54 % (323)Instruction limit reached!
% 1.54/0.54 % (323)------------------------------
% 1.54/0.54 % (323)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.54/0.54 % (323)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.54/0.54 % (323)Termination reason: Unknown
% 1.54/0.54 % (323)Termination phase: Function definition elimination
% 1.54/0.54
% 1.54/0.54 % (323)Memory used [KB]: 1535
% 1.54/0.54 % (323)Time elapsed: 0.004 s
% 1.54/0.54 % (323)Instructions burned: 5 (million)
% 1.54/0.54 % (323)------------------------------
% 1.54/0.54 % (323)------------------------------
% 1.54/0.54 % (327)ott+21_1:1_erd=off:s2a=on:sac=on:sd=1:sgt=64:sos=on:ss=included:st=3.0:to=lpo:urr=on:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 1.54/0.55 % (310)Instruction limit reached!
% 1.54/0.55 % (310)------------------------------
% 1.54/0.55 % (310)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.54/0.55 % (310)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.54/0.55 % (310)Termination reason: Unknown
% 1.54/0.55 % (310)Termination phase: Clausification
% 1.54/0.55
% 1.54/0.55 % (310)Memory used [KB]: 9850
% 1.54/0.55 % (310)Time elapsed: 0.011 s
% 1.54/0.55 % (310)Instructions burned: 13 (million)
% 1.54/0.55 % (310)------------------------------
% 1.54/0.55 % (310)------------------------------
% 1.54/0.56 % (326)Instruction limit reached!
% 1.54/0.56 % (326)------------------------------
% 1.54/0.56 % (326)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.54/0.56 % (326)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.54/0.56 % (326)Termination reason: Unknown
% 1.54/0.56 % (326)Termination phase: Property scanning
% 1.54/0.56
% 1.54/0.56 % (326)Memory used [KB]: 1663
% 1.54/0.56 % (326)Time elapsed: 0.012 s
% 1.54/0.56 % (326)Instructions burned: 33 (million)
% 1.54/0.56 % (326)------------------------------
% 1.54/0.56 % (326)------------------------------
% 1.54/0.57 % (312)First to succeed.
% 1.54/0.57 % (330)Refutation not found, incomplete strategy% (330)------------------------------
% 1.54/0.57 % (330)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.54/0.57 % (330)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.54/0.57 % (330)Termination reason: Refutation not found, incomplete strategy
% 1.54/0.57
% 1.54/0.57 % (330)Memory used [KB]: 6652
% 1.54/0.57 % (330)Time elapsed: 0.174 s
% 1.54/0.57 % (330)Instructions burned: 26 (million)
% 1.54/0.57 % (330)------------------------------
% 1.54/0.57 % (330)------------------------------
% 1.54/0.58 % (319)Instruction limit reached!
% 1.54/0.58 % (319)------------------------------
% 1.54/0.58 % (319)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.54/0.58 % (319)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.54/0.58 % (319)Termination reason: Unknown
% 1.54/0.58 % (319)Termination phase: Saturation
% 1.54/0.58
% 1.54/0.58 % (319)Memory used [KB]: 6396
% 1.54/0.58 % (319)Time elapsed: 0.021 s
% 1.54/0.58 % (319)Instructions burned: 51 (million)
% 1.54/0.58 % (319)------------------------------
% 1.54/0.58 % (319)------------------------------
% 1.54/0.59 % (314)Instruction limit reached!
% 1.54/0.59 % (314)------------------------------
% 1.54/0.59 % (314)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.54/0.59 % (314)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.54/0.59 % (314)Termination reason: Unknown
% 1.54/0.59 % (314)Termination phase: Saturation
% 1.54/0.59
% 1.54/0.59 % (314)Memory used [KB]: 6268
% 1.54/0.59 % (314)Time elapsed: 0.019 s
% 1.54/0.59 % (314)Instructions burned: 50 (million)
% 1.54/0.59 % (314)------------------------------
% 1.54/0.59 % (314)------------------------------
% 1.54/0.59 % (315)Instruction limit reached!
% 1.54/0.59 % (315)------------------------------
% 1.54/0.59 % (315)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.54/0.59 % (315)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.54/0.59 % (315)Termination reason: Unknown
% 1.54/0.59 % (315)Termination phase: Saturation
% 1.54/0.59
% 1.54/0.59 % (315)Memory used [KB]: 6268
% 1.54/0.59 % (315)Time elapsed: 0.015 s
% 1.54/0.59 % (315)Instructions burned: 33 (million)
% 1.54/0.59 % (315)------------------------------
% 1.54/0.59 % (315)------------------------------
% 1.54/0.59 % (313)Instruction limit reached!
% 1.54/0.59 % (313)------------------------------
% 1.54/0.59 % (313)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.54/0.59 % (313)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.54/0.59 % (313)Termination reason: Unknown
% 1.54/0.59 % (313)Termination phase: Saturation
% 1.54/0.59
% 1.54/0.59 % (313)Memory used [KB]: 6268
% 1.54/0.59 % (313)Time elapsed: 0.020 s
% 1.54/0.59 % (313)Instructions burned: 41 (million)
% 1.54/0.59 % (313)------------------------------
% 1.54/0.59 % (313)------------------------------
% 1.54/0.59 % (335)Instruction limit reached!
% 1.54/0.59 % (335)------------------------------
% 1.54/0.59 % (335)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.54/0.59 % (335)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.54/0.59 % (335)Termination reason: Unknown
% 1.54/0.59 % (335)Termination phase: Clausification
% 1.54/0.59
% 1.54/0.59 % (335)Memory used [KB]: 24818
% 1.54/0.59 % (335)Time elapsed: 0.021 s
% 1.54/0.59 % (335)Instructions burned: 24 (million)
% 1.54/0.59 % (335)------------------------------
% 1.54/0.59 % (335)------------------------------
% 1.54/0.60 % (312)Refutation found. Thanks to Tanya!
% 1.54/0.60 % SZS status Theorem for theBenchmark
% 1.54/0.60 % SZS output start Proof for theBenchmark
% See solution above
% 1.54/0.60 % (312)------------------------------
% 1.54/0.60 % (312)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.54/0.60 % (312)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.54/0.60 % (312)Termination reason: Refutation
% 1.54/0.60
% 1.54/0.60 % (312)Memory used [KB]: 7036
% 1.54/0.60 % (312)Time elapsed: 0.124 s
% 1.54/0.60 % (312)Instructions burned: 34 (million)
% 1.54/0.60 % (312)------------------------------
% 1.54/0.60 % (312)------------------------------
% 1.54/0.60 % (305)Success in time 0.246 s
%------------------------------------------------------------------------------