TSTP Solution File: ALG022+1 by SnakeForV---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : ALG022+1 : TPTP v8.1.0. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% Computer : n008.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 15:38:51 EDT 2022
% Result : Theorem 1.44s 0.57s
% Output : Refutation 1.44s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 152
% Syntax : Number of formulae : 729 ( 65 unt; 0 def)
% Number of atoms : 3444 (1709 equ)
% Maximal formula atoms : 180 ( 4 avg)
% Number of connectives : 4793 (2078 ~;2046 |; 546 &)
% ( 123 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 109 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 149 ( 147 usr; 148 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 5 con; 0-2 aty)
% Number of variables : 0 ( 0 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1592,plain,
$false,
inference(avatar_sat_refutation,[],[f268,f282,f309,f342,f351,f374,f397,f421,f448,f462,f486,f828,f838,f849,f870,f881,f882,f887,f888,f919,f947,f957,f958,f959,f970,f977,f1001,f1006,f1017,f1039,f1045,f1046,f1047,f1052,f1057,f1069,f1070,f1077,f1088,f1089,f1090,f1091,f1092,f1095,f1098,f1101,f1106,f1107,f1108,f1111,f1119,f1123,f1132,f1136,f1145,f1149,f1153,f1160,f1167,f1172,f1178,f1186,f1197,f1201,f1208,f1213,f1220,f1228,f1231,f1239,f1246,f1250,f1259,f1267,f1271,f1280,f1284,f1294,f1299,f1310,f1317,f1322,f1327,f1337,f1340,f1347,f1353,f1359,f1364,f1374,f1377,f1385,f1389,f1397,f1401,f1410,f1414,f1419,f1427,f1433,f1438,f1444,f1450,f1458,f1462,f1469,f1477,f1484,f1491,f1495,f1504,f1509,f1520,f1525,f1536,f1542,f1546,f1550,f1558,f1565,f1568,f1577,f1580,f1586]) ).
fof(f1586,plain,
( ~ spl24_18
| ~ spl24_23
| spl24_151 ),
inference(avatar_contradiction_clause,[],[f1585]) ).
fof(f1585,plain,
( $false
| ~ spl24_18
| ~ spl24_23
| spl24_151 ),
inference(subsumption_resolution,[],[f1584,f923]) ).
fof(f923,plain,
( e3 != unit
| spl24_151 ),
inference(avatar_component_clause,[],[f921]) ).
fof(f921,plain,
( spl24_151
<=> e3 = unit ),
introduced(avatar_definition,[new_symbols(naming,[spl24_151])]) ).
fof(f1584,plain,
( e3 = unit
| ~ spl24_18
| ~ spl24_23 ),
inference(forward_demodulation,[],[f341,f364]) ).
fof(f364,plain,
( op(e3,e3) = unit
| ~ spl24_23 ),
inference(avatar_component_clause,[],[f362]) ).
fof(f362,plain,
( spl24_23
<=> op(e3,e3) = unit ),
introduced(avatar_definition,[new_symbols(naming,[spl24_23])]) ).
fof(f341,plain,
( e3 = op(e3,e3)
| ~ spl24_18 ),
inference(avatar_component_clause,[],[f339]) ).
fof(f339,plain,
( spl24_18
<=> e3 = op(e3,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl24_18])]) ).
fof(f1580,plain,
( ~ spl24_4
| ~ spl24_23
| spl24_159 ),
inference(avatar_contradiction_clause,[],[f1579]) ).
fof(f1579,plain,
( $false
| ~ spl24_4
| ~ spl24_23
| spl24_159 ),
inference(subsumption_resolution,[],[f1578,f968]) ).
fof(f968,plain,
( e1 != unit
| spl24_159 ),
inference(avatar_component_clause,[],[f966]) ).
fof(f966,plain,
( spl24_159
<=> e1 = unit ),
introduced(avatar_definition,[new_symbols(naming,[spl24_159])]) ).
fof(f1578,plain,
( e1 = unit
| ~ spl24_4
| ~ spl24_23 ),
inference(forward_demodulation,[],[f275,f364]) ).
fof(f275,plain,
( e1 = op(e3,e3)
| ~ spl24_4 ),
inference(avatar_component_clause,[],[f274]) ).
fof(f274,plain,
( spl24_4
<=> e1 = op(e3,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl24_4])]) ).
fof(f1577,plain,
( ~ spl24_20
| ~ spl24_25
| spl24_151 ),
inference(avatar_contradiction_clause,[],[f1576]) ).
fof(f1576,plain,
( $false
| ~ spl24_20
| ~ spl24_25
| spl24_151 ),
inference(subsumption_resolution,[],[f1575,f923]) ).
fof(f1575,plain,
( e3 = unit
| ~ spl24_20
| ~ spl24_25 ),
inference(backward_demodulation,[],[f372,f350]) ).
fof(f350,plain,
( op(e1,e1) = unit
| ~ spl24_20 ),
inference(avatar_component_clause,[],[f348]) ).
fof(f348,plain,
( spl24_20
<=> op(e1,e1) = unit ),
introduced(avatar_definition,[new_symbols(naming,[spl24_20])]) ).
fof(f372,plain,
( e3 = op(e1,e1)
| ~ spl24_25 ),
inference(avatar_component_clause,[],[f371]) ).
fof(f371,plain,
( spl24_25
<=> e3 = op(e1,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl24_25])]) ).
fof(f1568,plain,
( ~ spl24_23
| ~ spl24_139
| spl24_172 ),
inference(avatar_contradiction_clause,[],[f1567]) ).
fof(f1567,plain,
( $false
| ~ spl24_23
| ~ spl24_139
| spl24_172 ),
inference(subsumption_resolution,[],[f1566,f1043]) ).
fof(f1043,plain,
( e2 != unit
| spl24_172 ),
inference(avatar_component_clause,[],[f1041]) ).
fof(f1041,plain,
( spl24_172
<=> e2 = unit ),
introduced(avatar_definition,[new_symbols(naming,[spl24_172])]) ).
fof(f1566,plain,
( e2 = unit
| ~ spl24_23
| ~ spl24_139 ),
inference(forward_demodulation,[],[f857,f364]) ).
fof(f857,plain,
( e2 = op(e3,e3)
| ~ spl24_139 ),
inference(avatar_component_clause,[],[f856]) ).
fof(f856,plain,
( spl24_139
<=> e2 = op(e3,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl24_139])]) ).
fof(f1565,plain,
( ~ spl24_42
| ~ spl24_53
| spl24_133 ),
inference(avatar_contradiction_clause,[],[f1564]) ).
fof(f1564,plain,
( $false
| ~ spl24_42
| ~ spl24_53
| spl24_133 ),
inference(trivial_inequality_removal,[],[f1563]) ).
fof(f1563,plain,
( op(e1,e3) != op(e1,e3)
| ~ spl24_42
| ~ spl24_53
| spl24_133 ),
inference(forward_demodulation,[],[f1562,f505]) ).
fof(f505,plain,
( e1 = op(e1,unit)
| ~ spl24_53 ),
inference(avatar_component_clause,[],[f504]) ).
fof(f504,plain,
( spl24_53
<=> e1 = op(e1,unit) ),
introduced(avatar_definition,[new_symbols(naming,[spl24_53])]) ).
fof(f1562,plain,
( op(e1,e3) != op(op(e1,unit),e3)
| ~ spl24_42
| spl24_133 ),
inference(forward_demodulation,[],[f826,f456]) ).
fof(f456,plain,
( e3 = op(unit,e3)
| ~ spl24_42 ),
inference(avatar_component_clause,[],[f455]) ).
fof(f455,plain,
( spl24_42
<=> e3 = op(unit,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl24_42])]) ).
fof(f826,plain,
( op(op(e1,unit),e3) != op(e1,op(unit,e3))
| spl24_133 ),
inference(avatar_component_clause,[],[f824]) ).
fof(f824,plain,
( spl24_133
<=> op(op(e1,unit),e3) = op(e1,op(unit,e3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl24_133])]) ).
fof(f1558,plain,
( ~ spl24_1
| ~ spl24_23
| spl24_132
| ~ spl24_135
| ~ spl24_174 ),
inference(avatar_contradiction_clause,[],[f1557]) ).
fof(f1557,plain,
( $false
| ~ spl24_1
| ~ spl24_23
| spl24_132
| ~ spl24_135
| ~ spl24_174 ),
inference(subsumption_resolution,[],[f1556,f1055]) ).
fof(f1055,plain,
( op(e1,e2) = unit
| ~ spl24_174 ),
inference(avatar_component_clause,[],[f1054]) ).
fof(f1054,plain,
( spl24_174
<=> op(e1,e2) = unit ),
introduced(avatar_definition,[new_symbols(naming,[spl24_174])]) ).
fof(f1556,plain,
( op(e1,e2) != unit
| ~ spl24_1
| ~ spl24_23
| spl24_132
| ~ spl24_135 ),
inference(forward_demodulation,[],[f1555,f364]) ).
fof(f1555,plain,
( op(e1,e2) != op(e3,e3)
| ~ spl24_1
| spl24_132
| ~ spl24_135 ),
inference(forward_demodulation,[],[f1554,f836]) ).
fof(f836,plain,
( e1 = op(e3,e2)
| ~ spl24_135 ),
inference(avatar_component_clause,[],[f835]) ).
fof(f835,plain,
( spl24_135
<=> e1 = op(e3,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl24_135])]) ).
fof(f1554,plain,
( op(e3,e3) != op(op(e3,e2),e2)
| ~ spl24_1
| spl24_132 ),
inference(forward_demodulation,[],[f822,f262]) ).
fof(f262,plain,
( e3 = op(e2,e2)
| ~ spl24_1 ),
inference(avatar_component_clause,[],[f260]) ).
fof(f260,plain,
( spl24_1
<=> e3 = op(e2,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl24_1])]) ).
fof(f822,plain,
( op(op(e3,e2),e2) != op(e3,op(e2,e2))
| spl24_132 ),
inference(avatar_component_clause,[],[f820]) ).
fof(f820,plain,
( spl24_132
<=> op(op(e3,e2),e2) = op(e3,op(e2,e2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl24_132])]) ).
fof(f1550,plain,
( ~ spl24_23
| spl24_131
| ~ spl24_144 ),
inference(avatar_contradiction_clause,[],[f1549]) ).
fof(f1549,plain,
( $false
| ~ spl24_23
| spl24_131
| ~ spl24_144 ),
inference(subsumption_resolution,[],[f1548,f364]) ).
fof(f1548,plain,
( op(e3,e3) != unit
| spl24_131
| ~ spl24_144 ),
inference(forward_demodulation,[],[f818,f885]) ).
fof(f885,plain,
( e3 = inv(e3)
| ~ spl24_144 ),
inference(avatar_component_clause,[],[f884]) ).
fof(f884,plain,
( spl24_144
<=> e3 = inv(e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl24_144])]) ).
fof(f818,plain,
( unit != op(inv(e3),e3)
| spl24_131 ),
inference(avatar_component_clause,[],[f816]) ).
fof(f816,plain,
( spl24_131
<=> unit = op(inv(e3),e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl24_131])]) ).
fof(f1546,plain,
( ~ spl24_42
| ~ spl24_125
| spl24_130 ),
inference(avatar_contradiction_clause,[],[f1545]) ).
fof(f1545,plain,
( $false
| ~ spl24_42
| ~ spl24_125
| spl24_130 ),
inference(subsumption_resolution,[],[f1544,f456]) ).
fof(f1544,plain,
( e3 != op(unit,e3)
| ~ spl24_42
| ~ spl24_125
| spl24_130 ),
inference(forward_demodulation,[],[f1543,f793]) ).
fof(f793,plain,
( e3 = op(e3,unit)
| ~ spl24_125 ),
inference(avatar_component_clause,[],[f792]) ).
fof(f792,plain,
( spl24_125
<=> e3 = op(e3,unit) ),
introduced(avatar_definition,[new_symbols(naming,[spl24_125])]) ).
fof(f1543,plain,
( op(e3,unit) != op(unit,op(e3,unit))
| ~ spl24_42
| spl24_130 ),
inference(forward_demodulation,[],[f814,f456]) ).
fof(f814,plain,
( op(unit,op(e3,unit)) != op(op(unit,e3),unit)
| spl24_130 ),
inference(avatar_component_clause,[],[f812]) ).
fof(f812,plain,
( spl24_130
<=> op(unit,op(e3,unit)) = op(op(unit,e3),unit) ),
introduced(avatar_definition,[new_symbols(naming,[spl24_130])]) ).
fof(f1542,plain,
( spl24_129
| ~ spl24_157
| ~ spl24_173 ),
inference(avatar_contradiction_clause,[],[f1541]) ).
fof(f1541,plain,
( $false
| spl24_129
| ~ spl24_157
| ~ spl24_173 ),
inference(subsumption_resolution,[],[f1540,f1050]) ).
fof(f1050,plain,
( op(e2,e1) = unit
| ~ spl24_173 ),
inference(avatar_component_clause,[],[f1049]) ).
fof(f1049,plain,
( spl24_173
<=> op(e2,e1) = unit ),
introduced(avatar_definition,[new_symbols(naming,[spl24_173])]) ).
fof(f1540,plain,
( op(e2,e1) != unit
| spl24_129
| ~ spl24_157 ),
inference(forward_demodulation,[],[f810,f955]) ).
fof(f955,plain,
( e2 = inv(e1)
| ~ spl24_157 ),
inference(avatar_component_clause,[],[f954]) ).
fof(f954,plain,
( spl24_157
<=> e2 = inv(e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl24_157])]) ).
fof(f810,plain,
( unit != op(inv(e1),e1)
| spl24_129 ),
inference(avatar_component_clause,[],[f808]) ).
fof(f808,plain,
( spl24_129
<=> unit = op(inv(e1),e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl24_129])]) ).
fof(f1536,plain,
( ~ spl24_11
| ~ spl24_48
| spl24_127
| ~ spl24_135
| ~ spl24_165 ),
inference(avatar_contradiction_clause,[],[f1535]) ).
fof(f1535,plain,
( $false
| ~ spl24_11
| ~ spl24_48
| spl24_127
| ~ spl24_135
| ~ spl24_165 ),
inference(subsumption_resolution,[],[f1534,f307]) ).
fof(f307,plain,
( e2 = op(e1,e3)
| ~ spl24_11 ),
inference(avatar_component_clause,[],[f306]) ).
fof(f306,plain,
( spl24_11
<=> e2 = op(e1,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl24_11])]) ).
fof(f1534,plain,
( e2 != op(e1,e3)
| ~ spl24_48
| spl24_127
| ~ spl24_135
| ~ spl24_165 ),
inference(forward_demodulation,[],[f1533,f484]) ).
fof(f484,plain,
( e2 = op(e3,e1)
| ~ spl24_48 ),
inference(avatar_component_clause,[],[f483]) ).
fof(f483,plain,
( spl24_48
<=> e2 = op(e3,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl24_48])]) ).
fof(f1533,plain,
( op(e1,e3) != op(e3,e1)
| spl24_127
| ~ spl24_135
| ~ spl24_165 ),
inference(forward_demodulation,[],[f1532,f836]) ).
fof(f1532,plain,
( op(e3,e1) != op(op(e3,e2),e3)
| spl24_127
| ~ spl24_165 ),
inference(forward_demodulation,[],[f802,f1004]) ).
fof(f1004,plain,
( e1 = op(e2,e3)
| ~ spl24_165 ),
inference(avatar_component_clause,[],[f1003]) ).
fof(f1003,plain,
( spl24_165
<=> e1 = op(e2,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl24_165])]) ).
fof(f802,plain,
( op(op(e3,e2),e3) != op(e3,op(e2,e3))
| spl24_127 ),
inference(avatar_component_clause,[],[f800]) ).
fof(f800,plain,
( spl24_127
<=> op(op(e3,e2),e3) = op(e3,op(e2,e3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl24_127])]) ).
fof(f1525,plain,
( ~ spl24_1
| ~ spl24_11
| spl24_126
| ~ spl24_128
| ~ spl24_174 ),
inference(avatar_contradiction_clause,[],[f1524]) ).
fof(f1524,plain,
( $false
| ~ spl24_1
| ~ spl24_11
| spl24_126
| ~ spl24_128
| ~ spl24_174 ),
inference(subsumption_resolution,[],[f1523,f307]) ).
fof(f1523,plain,
( e2 != op(e1,e3)
| ~ spl24_1
| spl24_126
| ~ spl24_128
| ~ spl24_174 ),
inference(forward_demodulation,[],[f1522,f805]) ).
fof(f805,plain,
( e2 = op(unit,e2)
| ~ spl24_128 ),
inference(avatar_component_clause,[],[f804]) ).
fof(f804,plain,
( spl24_128
<=> e2 = op(unit,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl24_128])]) ).
fof(f1522,plain,
( op(e1,e3) != op(unit,e2)
| ~ spl24_1
| spl24_126
| ~ spl24_174 ),
inference(forward_demodulation,[],[f1521,f1055]) ).
fof(f1521,plain,
( op(e1,e3) != op(op(e1,e2),e2)
| ~ spl24_1
| spl24_126 ),
inference(forward_demodulation,[],[f798,f262]) ).
fof(f798,plain,
( op(op(e1,e2),e2) != op(e1,op(e2,e2))
| spl24_126 ),
inference(avatar_component_clause,[],[f796]) ).
fof(f796,plain,
( spl24_126
<=> op(op(e1,e2),e2) = op(e1,op(e2,e2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl24_126])]) ).
fof(f1520,plain,
( ~ spl24_11
| ~ spl24_23
| ~ spl24_25
| spl24_124
| ~ spl24_174 ),
inference(avatar_contradiction_clause,[],[f1519]) ).
fof(f1519,plain,
( $false
| ~ spl24_11
| ~ spl24_23
| ~ spl24_25
| spl24_124
| ~ spl24_174 ),
inference(subsumption_resolution,[],[f1518,f1055]) ).
fof(f1518,plain,
( op(e1,e2) != unit
| ~ spl24_11
| ~ spl24_23
| ~ spl24_25
| spl24_124 ),
inference(forward_demodulation,[],[f1517,f364]) ).
fof(f1517,plain,
( op(e1,e2) != op(e3,e3)
| ~ spl24_11
| ~ spl24_25
| spl24_124 ),
inference(forward_demodulation,[],[f1516,f372]) ).
fof(f1516,plain,
( op(e1,e2) != op(op(e1,e1),e3)
| ~ spl24_11
| spl24_124 ),
inference(forward_demodulation,[],[f790,f307]) ).
fof(f790,plain,
( op(op(e1,e1),e3) != op(e1,op(e1,e3))
| spl24_124 ),
inference(avatar_component_clause,[],[f788]) ).
fof(f788,plain,
( spl24_124
<=> op(op(e1,e1),e3) = op(e1,op(e1,e3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl24_124])]) ).
fof(f1509,plain,
( ~ spl24_1
| ~ spl24_48
| ~ spl24_70
| spl24_123
| ~ spl24_173 ),
inference(avatar_contradiction_clause,[],[f1508]) ).
fof(f1508,plain,
( $false
| ~ spl24_1
| ~ spl24_48
| ~ spl24_70
| spl24_123
| ~ spl24_173 ),
inference(subsumption_resolution,[],[f1507,f484]) ).
fof(f1507,plain,
( e2 != op(e3,e1)
| ~ spl24_1
| ~ spl24_70
| spl24_123
| ~ spl24_173 ),
inference(forward_demodulation,[],[f1506,f262]) ).
fof(f1506,plain,
( e2 != op(op(e2,e2),e1)
| ~ spl24_70
| spl24_123
| ~ spl24_173 ),
inference(forward_demodulation,[],[f1505,f573]) ).
fof(f573,plain,
( e2 = op(e2,unit)
| ~ spl24_70 ),
inference(avatar_component_clause,[],[f572]) ).
fof(f572,plain,
( spl24_70
<=> e2 = op(e2,unit) ),
introduced(avatar_definition,[new_symbols(naming,[spl24_70])]) ).
fof(f1505,plain,
( op(op(e2,e2),e1) != op(e2,unit)
| spl24_123
| ~ spl24_173 ),
inference(forward_demodulation,[],[f786,f1050]) ).
fof(f786,plain,
( op(op(e2,e2),e1) != op(e2,op(e2,e1))
| spl24_123 ),
inference(avatar_component_clause,[],[f784]) ).
fof(f784,plain,
( spl24_123
<=> op(op(e2,e2),e1) = op(e2,op(e2,e1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl24_123])]) ).
fof(f1504,plain,
( ~ spl24_11
| ~ spl24_23
| ~ spl24_70
| spl24_122
| ~ spl24_165 ),
inference(avatar_contradiction_clause,[],[f1503]) ).
fof(f1503,plain,
( $false
| ~ spl24_11
| ~ spl24_23
| ~ spl24_70
| spl24_122
| ~ spl24_165 ),
inference(subsumption_resolution,[],[f1502,f307]) ).
fof(f1502,plain,
( e2 != op(e1,e3)
| ~ spl24_23
| ~ spl24_70
| spl24_122
| ~ spl24_165 ),
inference(forward_demodulation,[],[f1501,f1004]) ).
fof(f1501,plain,
( e2 != op(op(e2,e3),e3)
| ~ spl24_23
| ~ spl24_70
| spl24_122 ),
inference(forward_demodulation,[],[f1500,f573]) ).
fof(f1500,plain,
( op(op(e2,e3),e3) != op(e2,unit)
| ~ spl24_23
| spl24_122 ),
inference(forward_demodulation,[],[f782,f364]) ).
fof(f782,plain,
( op(op(e2,e3),e3) != op(e2,op(e3,e3))
| spl24_122 ),
inference(avatar_component_clause,[],[f780]) ).
fof(f780,plain,
( spl24_122
<=> op(op(e2,e3),e3) = op(e2,op(e3,e3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl24_122])]) ).
fof(f1495,plain,
( ~ spl24_25
| ~ spl24_53
| spl24_121
| ~ spl24_125 ),
inference(avatar_contradiction_clause,[],[f1494]) ).
fof(f1494,plain,
( $false
| ~ spl24_25
| ~ spl24_53
| spl24_121
| ~ spl24_125 ),
inference(subsumption_resolution,[],[f1493,f793]) ).
fof(f1493,plain,
( e3 != op(e3,unit)
| ~ spl24_25
| ~ spl24_53
| spl24_121 ),
inference(forward_demodulation,[],[f1492,f372]) ).
fof(f1492,plain,
( op(e1,e1) != op(op(e1,e1),unit)
| ~ spl24_53
| spl24_121 ),
inference(forward_demodulation,[],[f778,f505]) ).
fof(f778,plain,
( op(op(e1,e1),unit) != op(e1,op(e1,unit))
| spl24_121 ),
inference(avatar_component_clause,[],[f776]) ).
fof(f776,plain,
( spl24_121
<=> op(op(e1,e1),unit) = op(e1,op(e1,unit)) ),
introduced(avatar_definition,[new_symbols(naming,[spl24_121])]) ).
fof(f1491,plain,
( ~ spl24_49
| ~ spl24_76
| spl24_120 ),
inference(avatar_contradiction_clause,[],[f1490]) ).
fof(f1490,plain,
( $false
| ~ spl24_49
| ~ spl24_76
| spl24_120 ),
inference(subsumption_resolution,[],[f1489,f597]) ).
fof(f597,plain,
( e1 = op(unit,e1)
| ~ spl24_76 ),
inference(avatar_component_clause,[],[f596]) ).
fof(f596,plain,
( spl24_76
<=> e1 = op(unit,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl24_76])]) ).
fof(f1489,plain,
( e1 != op(unit,e1)
| ~ spl24_49
| ~ spl24_76
| spl24_120 ),
inference(forward_demodulation,[],[f1488,f597]) ).
fof(f1488,plain,
( op(unit,e1) != op(unit,op(unit,e1))
| ~ spl24_49
| spl24_120 ),
inference(forward_demodulation,[],[f774,f489]) ).
fof(f489,plain,
( unit = op(unit,unit)
| ~ spl24_49 ),
inference(avatar_component_clause,[],[f488]) ).
fof(f488,plain,
( spl24_49
<=> unit = op(unit,unit) ),
introduced(avatar_definition,[new_symbols(naming,[spl24_49])]) ).
fof(f774,plain,
( op(unit,op(unit,e1)) != op(op(unit,unit),e1)
| spl24_120 ),
inference(avatar_component_clause,[],[f772]) ).
fof(f772,plain,
( spl24_120
<=> op(unit,op(unit,e1)) = op(op(unit,unit),e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl24_120])]) ).
fof(f1484,plain,
( ~ spl24_25
| ~ spl24_76
| spl24_117
| ~ spl24_165
| ~ spl24_173 ),
inference(avatar_contradiction_clause,[],[f1483]) ).
fof(f1483,plain,
( $false
| ~ spl24_25
| ~ spl24_76
| spl24_117
| ~ spl24_165
| ~ spl24_173 ),
inference(subsumption_resolution,[],[f1482,f1004]) ).
fof(f1482,plain,
( e1 != op(e2,e3)
| ~ spl24_25
| ~ spl24_76
| spl24_117
| ~ spl24_173 ),
inference(forward_demodulation,[],[f1481,f597]) ).
fof(f1481,plain,
( op(e2,e3) != op(unit,e1)
| ~ spl24_25
| spl24_117
| ~ spl24_173 ),
inference(forward_demodulation,[],[f1480,f1050]) ).
fof(f1480,plain,
( op(e2,e3) != op(op(e2,e1),e1)
| ~ spl24_25
| spl24_117 ),
inference(forward_demodulation,[],[f762,f372]) ).
fof(f762,plain,
( op(op(e2,e1),e1) != op(e2,op(e1,e1))
| spl24_117 ),
inference(avatar_component_clause,[],[f760]) ).
fof(f760,plain,
( spl24_117
<=> op(op(e2,e1),e1) = op(e2,op(e1,e1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl24_117])]) ).
fof(f1477,plain,
( ~ spl24_53
| ~ spl24_76
| spl24_116 ),
inference(avatar_contradiction_clause,[],[f1476]) ).
fof(f1476,plain,
( $false
| ~ spl24_53
| ~ spl24_76
| spl24_116 ),
inference(subsumption_resolution,[],[f1475,f505]) ).
fof(f1475,plain,
( e1 != op(e1,unit)
| ~ spl24_53
| ~ spl24_76
| spl24_116 ),
inference(forward_demodulation,[],[f1474,f597]) ).
fof(f1474,plain,
( op(unit,e1) != op(op(unit,e1),unit)
| ~ spl24_53
| spl24_116 ),
inference(forward_demodulation,[],[f758,f505]) ).
fof(f758,plain,
( op(op(unit,e1),unit) != op(unit,op(e1,unit))
| spl24_116 ),
inference(avatar_component_clause,[],[f756]) ).
fof(f756,plain,
( spl24_116
<=> op(op(unit,e1),unit) = op(unit,op(e1,unit)) ),
introduced(avatar_definition,[new_symbols(naming,[spl24_116])]) ).
fof(f1469,plain,
( ~ spl24_42
| ~ spl24_76
| spl24_115
| ~ spl24_135 ),
inference(avatar_contradiction_clause,[],[f1468]) ).
fof(f1468,plain,
( $false
| ~ spl24_42
| ~ spl24_76
| spl24_115
| ~ spl24_135 ),
inference(subsumption_resolution,[],[f1467,f597]) ).
fof(f1467,plain,
( e1 != op(unit,e1)
| ~ spl24_42
| spl24_115
| ~ spl24_135 ),
inference(forward_demodulation,[],[f1466,f836]) ).
fof(f1466,plain,
( op(e3,e2) != op(unit,op(e3,e2))
| ~ spl24_42
| spl24_115 ),
inference(forward_demodulation,[],[f754,f456]) ).
fof(f754,plain,
( op(unit,op(e3,e2)) != op(op(unit,e3),e2)
| spl24_115 ),
inference(avatar_component_clause,[],[f752]) ).
fof(f752,plain,
( spl24_115
<=> op(unit,op(e3,e2)) = op(op(unit,e3),e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl24_115])]) ).
fof(f1462,plain,
( ~ spl24_70
| spl24_114
| ~ spl24_128 ),
inference(avatar_contradiction_clause,[],[f1461]) ).
fof(f1461,plain,
( $false
| ~ spl24_70
| spl24_114
| ~ spl24_128 ),
inference(subsumption_resolution,[],[f1460,f805]) ).
fof(f1460,plain,
( e2 != op(unit,e2)
| ~ spl24_70
| spl24_114
| ~ spl24_128 ),
inference(forward_demodulation,[],[f1459,f573]) ).
fof(f1459,plain,
( op(e2,unit) != op(unit,op(e2,unit))
| spl24_114
| ~ spl24_128 ),
inference(forward_demodulation,[],[f750,f805]) ).
fof(f750,plain,
( op(unit,op(e2,unit)) != op(op(unit,e2),unit)
| spl24_114 ),
inference(avatar_component_clause,[],[f748]) ).
fof(f748,plain,
( spl24_114
<=> op(unit,op(e2,unit)) = op(op(unit,e2),unit) ),
introduced(avatar_definition,[new_symbols(naming,[spl24_114])]) ).
fof(f1458,plain,
( ~ spl24_11
| ~ spl24_70
| spl24_113
| ~ spl24_125 ),
inference(avatar_contradiction_clause,[],[f1457]) ).
fof(f1457,plain,
( $false
| ~ spl24_11
| ~ spl24_70
| spl24_113
| ~ spl24_125 ),
inference(subsumption_resolution,[],[f1456,f307]) ).
fof(f1456,plain,
( e2 != op(e1,e3)
| ~ spl24_11
| ~ spl24_70
| spl24_113
| ~ spl24_125 ),
inference(forward_demodulation,[],[f1455,f573]) ).
fof(f1455,plain,
( op(e1,e3) != op(e2,unit)
| ~ spl24_11
| spl24_113
| ~ spl24_125 ),
inference(forward_demodulation,[],[f1454,f793]) ).
fof(f1454,plain,
( op(e2,unit) != op(e1,op(e3,unit))
| ~ spl24_11
| spl24_113 ),
inference(forward_demodulation,[],[f746,f307]) ).
fof(f746,plain,
( op(e1,op(e3,unit)) != op(op(e1,e3),unit)
| spl24_113 ),
inference(avatar_component_clause,[],[f744]) ).
fof(f744,plain,
( spl24_113
<=> op(e1,op(e3,unit)) = op(op(e1,e3),unit) ),
introduced(avatar_definition,[new_symbols(naming,[spl24_113])]) ).
fof(f1450,plain,
( ~ spl24_23
| ~ spl24_25
| ~ spl24_48
| spl24_112
| ~ spl24_173 ),
inference(avatar_contradiction_clause,[],[f1449]) ).
fof(f1449,plain,
( $false
| ~ spl24_23
| ~ spl24_25
| ~ spl24_48
| spl24_112
| ~ spl24_173 ),
inference(subsumption_resolution,[],[f1448,f1050]) ).
fof(f1448,plain,
( op(e2,e1) != unit
| ~ spl24_23
| ~ spl24_25
| ~ spl24_48
| spl24_112 ),
inference(forward_demodulation,[],[f1447,f364]) ).
fof(f1447,plain,
( op(e2,e1) != op(e3,e3)
| ~ spl24_25
| ~ spl24_48
| spl24_112 ),
inference(forward_demodulation,[],[f1446,f484]) ).
fof(f1446,plain,
( op(e3,e3) != op(op(e3,e1),e1)
| ~ spl24_25
| spl24_112 ),
inference(forward_demodulation,[],[f742,f372]) ).
fof(f742,plain,
( op(op(e3,e1),e1) != op(e3,op(e1,e1))
| spl24_112 ),
inference(avatar_component_clause,[],[f740]) ).
fof(f740,plain,
( spl24_112
<=> op(op(e3,e1),e1) = op(e3,op(e1,e1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl24_112])]) ).
fof(f1444,plain,
( ~ spl24_35
| spl24_111
| ~ spl24_174 ),
inference(avatar_contradiction_clause,[],[f1443]) ).
fof(f1443,plain,
( $false
| ~ spl24_35
| spl24_111
| ~ spl24_174 ),
inference(subsumption_resolution,[],[f1442,f1055]) ).
fof(f1442,plain,
( op(e1,e2) != unit
| ~ spl24_35
| spl24_111 ),
inference(forward_demodulation,[],[f738,f419]) ).
fof(f419,plain,
( e1 = inv(e2)
| ~ spl24_35 ),
inference(avatar_component_clause,[],[f418]) ).
fof(f418,plain,
( spl24_35
<=> e1 = inv(e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl24_35])]) ).
fof(f738,plain,
( unit != op(inv(e2),e2)
| spl24_111 ),
inference(avatar_component_clause,[],[f736]) ).
fof(f736,plain,
( spl24_111
<=> unit = op(inv(e2),e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl24_111])]) ).
fof(f1438,plain,
( ~ spl24_1
| ~ spl24_23
| spl24_110
| ~ spl24_165
| ~ spl24_173 ),
inference(avatar_contradiction_clause,[],[f1437]) ).
fof(f1437,plain,
( $false
| ~ spl24_1
| ~ spl24_23
| spl24_110
| ~ spl24_165
| ~ spl24_173 ),
inference(subsumption_resolution,[],[f1436,f1050]) ).
fof(f1436,plain,
( op(e2,e1) != unit
| ~ spl24_1
| ~ spl24_23
| spl24_110
| ~ spl24_165 ),
inference(forward_demodulation,[],[f1435,f364]) ).
fof(f1435,plain,
( op(e2,e1) != op(e3,e3)
| ~ spl24_1
| spl24_110
| ~ spl24_165 ),
inference(forward_demodulation,[],[f1434,f262]) ).
fof(f1434,plain,
( op(e2,e1) != op(op(e2,e2),e3)
| spl24_110
| ~ spl24_165 ),
inference(forward_demodulation,[],[f734,f1004]) ).
fof(f734,plain,
( op(op(e2,e2),e3) != op(e2,op(e2,e3))
| spl24_110 ),
inference(avatar_component_clause,[],[f732]) ).
fof(f732,plain,
( spl24_110
<=> op(op(e2,e2),e3) = op(e2,op(e2,e3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl24_110])]) ).
fof(f1433,plain,
( ~ spl24_49
| spl24_109 ),
inference(avatar_contradiction_clause,[],[f1432]) ).
fof(f1432,plain,
( $false
| ~ spl24_49
| spl24_109 ),
inference(trivial_inequality_removal,[],[f1431]) ).
fof(f1431,plain,
( op(unit,unit) != op(unit,unit)
| ~ spl24_49
| spl24_109 ),
inference(forward_demodulation,[],[f730,f489]) ).
fof(f730,plain,
( op(op(unit,unit),unit) != op(unit,op(unit,unit))
| spl24_109 ),
inference(avatar_component_clause,[],[f728]) ).
fof(f728,plain,
( spl24_109
<=> op(op(unit,unit),unit) = op(unit,op(unit,unit)) ),
introduced(avatar_definition,[new_symbols(naming,[spl24_109])]) ).
fof(f1427,plain,
( ~ spl24_11
| ~ spl24_48
| spl24_108
| ~ spl24_135
| ~ spl24_165 ),
inference(avatar_contradiction_clause,[],[f1426]) ).
fof(f1426,plain,
( $false
| ~ spl24_11
| ~ spl24_48
| spl24_108
| ~ spl24_135
| ~ spl24_165 ),
inference(subsumption_resolution,[],[f1425,f1004]) ).
fof(f1425,plain,
( e1 != op(e2,e3)
| ~ spl24_11
| ~ spl24_48
| spl24_108
| ~ spl24_135 ),
inference(forward_demodulation,[],[f1424,f836]) ).
fof(f1424,plain,
( op(e2,e3) != op(e3,e2)
| ~ spl24_11
| ~ spl24_48
| spl24_108 ),
inference(forward_demodulation,[],[f1423,f484]) ).
fof(f1423,plain,
( op(e3,e2) != op(op(e3,e1),e3)
| ~ spl24_11
| spl24_108 ),
inference(forward_demodulation,[],[f726,f307]) ).
fof(f726,plain,
( op(op(e3,e1),e3) != op(e3,op(e1,e3))
| spl24_108 ),
inference(avatar_component_clause,[],[f724]) ).
fof(f724,plain,
( spl24_108
<=> op(op(e3,e1),e3) = op(e3,op(e1,e3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl24_108])]) ).
fof(f1419,plain,
( ~ spl24_35
| spl24_107
| ~ spl24_173 ),
inference(avatar_contradiction_clause,[],[f1418]) ).
fof(f1418,plain,
( $false
| ~ spl24_35
| spl24_107
| ~ spl24_173 ),
inference(subsumption_resolution,[],[f1417,f1050]) ).
fof(f1417,plain,
( op(e2,e1) != unit
| ~ spl24_35
| spl24_107 ),
inference(forward_demodulation,[],[f722,f419]) ).
fof(f722,plain,
( unit != op(e2,inv(e2))
| spl24_107 ),
inference(avatar_component_clause,[],[f720]) ).
fof(f720,plain,
( spl24_107
<=> unit = op(e2,inv(e2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl24_107])]) ).
fof(f1414,plain,
( ~ spl24_23
| ~ spl24_42
| ~ spl24_49
| spl24_106 ),
inference(avatar_contradiction_clause,[],[f1413]) ).
fof(f1413,plain,
( $false
| ~ spl24_23
| ~ spl24_42
| ~ spl24_49
| spl24_106 ),
inference(subsumption_resolution,[],[f1412,f489]) ).
fof(f1412,plain,
( unit != op(unit,unit)
| ~ spl24_23
| ~ spl24_42
| spl24_106 ),
inference(forward_demodulation,[],[f1411,f364]) ).
fof(f1411,plain,
( op(e3,e3) != op(unit,op(e3,e3))
| ~ spl24_42
| spl24_106 ),
inference(forward_demodulation,[],[f718,f456]) ).
fof(f718,plain,
( op(unit,op(e3,e3)) != op(op(unit,e3),e3)
| spl24_106 ),
inference(avatar_component_clause,[],[f716]) ).
fof(f716,plain,
( spl24_106
<=> op(unit,op(e3,e3)) = op(op(unit,e3),e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl24_106])]) ).
fof(f1410,plain,
( ~ spl24_49
| ~ spl24_53
| spl24_104 ),
inference(avatar_contradiction_clause,[],[f1409]) ).
fof(f1409,plain,
( $false
| ~ spl24_49
| ~ spl24_53
| spl24_104 ),
inference(subsumption_resolution,[],[f1408,f505]) ).
fof(f1408,plain,
( e1 != op(e1,unit)
| ~ spl24_49
| ~ spl24_53
| spl24_104 ),
inference(forward_demodulation,[],[f1407,f505]) ).
fof(f1407,plain,
( op(e1,unit) != op(op(e1,unit),unit)
| ~ spl24_49
| spl24_104 ),
inference(forward_demodulation,[],[f710,f489]) ).
fof(f710,plain,
( op(op(e1,unit),unit) != op(e1,op(unit,unit))
| spl24_104 ),
inference(avatar_component_clause,[],[f708]) ).
fof(f708,plain,
( spl24_104
<=> op(op(e1,unit),unit) = op(e1,op(unit,unit)) ),
introduced(avatar_definition,[new_symbols(naming,[spl24_104])]) ).
fof(f1401,plain,
( ~ spl24_23
| ~ spl24_49
| spl24_103
| ~ spl24_125 ),
inference(avatar_contradiction_clause,[],[f1400]) ).
fof(f1400,plain,
( $false
| ~ spl24_23
| ~ spl24_49
| spl24_103
| ~ spl24_125 ),
inference(subsumption_resolution,[],[f1399,f489]) ).
fof(f1399,plain,
( unit != op(unit,unit)
| ~ spl24_23
| spl24_103
| ~ spl24_125 ),
inference(forward_demodulation,[],[f1398,f364]) ).
fof(f1398,plain,
( op(e3,e3) != op(op(e3,e3),unit)
| spl24_103
| ~ spl24_125 ),
inference(forward_demodulation,[],[f706,f793]) ).
fof(f706,plain,
( op(op(e3,e3),unit) != op(e3,op(e3,unit))
| spl24_103 ),
inference(avatar_component_clause,[],[f704]) ).
fof(f704,plain,
( spl24_103
<=> op(op(e3,e3),unit) = op(e3,op(e3,unit)) ),
introduced(avatar_definition,[new_symbols(naming,[spl24_103])]) ).
fof(f1397,plain,
( ~ spl24_1
| ~ spl24_48
| spl24_101
| ~ spl24_125
| ~ spl24_174 ),
inference(avatar_contradiction_clause,[],[f1396]) ).
fof(f1396,plain,
( $false
| ~ spl24_1
| ~ spl24_48
| spl24_101
| ~ spl24_125
| ~ spl24_174 ),
inference(subsumption_resolution,[],[f1395,f262]) ).
fof(f1395,plain,
( e3 != op(e2,e2)
| ~ spl24_48
| spl24_101
| ~ spl24_125
| ~ spl24_174 ),
inference(forward_demodulation,[],[f1394,f484]) ).
fof(f1394,plain,
( e3 != op(op(e3,e1),e2)
| spl24_101
| ~ spl24_125
| ~ spl24_174 ),
inference(forward_demodulation,[],[f1393,f793]) ).
fof(f1393,plain,
( op(op(e3,e1),e2) != op(e3,unit)
| spl24_101
| ~ spl24_174 ),
inference(forward_demodulation,[],[f698,f1055]) ).
fof(f698,plain,
( op(op(e3,e1),e2) != op(e3,op(e1,e2))
| spl24_101 ),
inference(avatar_component_clause,[],[f696]) ).
fof(f696,plain,
( spl24_101
<=> op(op(e3,e1),e2) = op(e3,op(e1,e2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl24_101])]) ).
fof(f1389,plain,
( ~ spl24_70
| ~ spl24_76
| spl24_100 ),
inference(avatar_contradiction_clause,[],[f1388]) ).
fof(f1388,plain,
( $false
| ~ spl24_70
| ~ spl24_76
| spl24_100 ),
inference(trivial_inequality_removal,[],[f1387]) ).
fof(f1387,plain,
( op(e2,e1) != op(e2,e1)
| ~ spl24_70
| ~ spl24_76
| spl24_100 ),
inference(forward_demodulation,[],[f1386,f573]) ).
fof(f1386,plain,
( op(e2,e1) != op(op(e2,unit),e1)
| ~ spl24_76
| spl24_100 ),
inference(forward_demodulation,[],[f694,f597]) ).
fof(f694,plain,
( op(op(e2,unit),e1) != op(e2,op(unit,e1))
| spl24_100 ),
inference(avatar_component_clause,[],[f692]) ).
fof(f692,plain,
( spl24_100
<=> op(op(e2,unit),e1) = op(e2,op(unit,e1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl24_100])]) ).
fof(f1385,plain,
( ~ spl24_1
| spl24_99
| ~ spl24_135
| ~ spl24_165 ),
inference(avatar_contradiction_clause,[],[f1384]) ).
fof(f1384,plain,
( $false
| ~ spl24_1
| spl24_99
| ~ spl24_135
| ~ spl24_165 ),
inference(subsumption_resolution,[],[f1383,f1004]) ).
fof(f1383,plain,
( e1 != op(e2,e3)
| ~ spl24_1
| spl24_99
| ~ spl24_135 ),
inference(forward_demodulation,[],[f1382,f836]) ).
fof(f1382,plain,
( op(e2,e3) != op(e3,e2)
| ~ spl24_1
| spl24_99 ),
inference(forward_demodulation,[],[f690,f262]) ).
fof(f690,plain,
( op(op(e2,e2),e2) != op(e2,op(e2,e2))
| spl24_99 ),
inference(avatar_component_clause,[],[f688]) ).
fof(f688,plain,
( spl24_99
<=> op(op(e2,e2),e2) = op(e2,op(e2,e2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl24_99])]) ).
fof(f1377,plain,
( spl24_98
| ~ spl24_157
| ~ spl24_174 ),
inference(avatar_contradiction_clause,[],[f1376]) ).
fof(f1376,plain,
( $false
| spl24_98
| ~ spl24_157
| ~ spl24_174 ),
inference(subsumption_resolution,[],[f1375,f1055]) ).
fof(f1375,plain,
( op(e1,e2) != unit
| spl24_98
| ~ spl24_157 ),
inference(forward_demodulation,[],[f686,f955]) ).
fof(f686,plain,
( unit != op(e1,inv(e1))
| spl24_98 ),
inference(avatar_component_clause,[],[f684]) ).
fof(f684,plain,
( spl24_98
<=> unit = op(e1,inv(e1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl24_98])]) ).
fof(f1374,plain,
( ~ spl24_25
| ~ spl24_42
| ~ spl24_76
| spl24_97 ),
inference(avatar_contradiction_clause,[],[f1373]) ).
fof(f1373,plain,
( $false
| ~ spl24_25
| ~ spl24_42
| ~ spl24_76
| spl24_97 ),
inference(subsumption_resolution,[],[f1372,f372]) ).
fof(f1372,plain,
( e3 != op(e1,e1)
| ~ spl24_25
| ~ spl24_42
| ~ spl24_76
| spl24_97 ),
inference(forward_demodulation,[],[f1371,f456]) ).
fof(f1371,plain,
( op(e1,e1) != op(unit,e3)
| ~ spl24_25
| ~ spl24_76
| spl24_97 ),
inference(forward_demodulation,[],[f1370,f597]) ).
fof(f1370,plain,
( op(unit,e3) != op(op(unit,e1),e1)
| ~ spl24_25
| spl24_97 ),
inference(forward_demodulation,[],[f682,f372]) ).
fof(f682,plain,
( op(op(unit,e1),e1) != op(unit,op(e1,e1))
| spl24_97 ),
inference(avatar_component_clause,[],[f680]) ).
fof(f680,plain,
( spl24_97
<=> op(op(unit,e1),e1) = op(unit,op(e1,e1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl24_97])]) ).
fof(f1364,plain,
( ~ spl24_49
| spl24_96
| ~ spl24_128
| ~ spl24_173 ),
inference(avatar_contradiction_clause,[],[f1363]) ).
fof(f1363,plain,
( $false
| ~ spl24_49
| spl24_96
| ~ spl24_128
| ~ spl24_173 ),
inference(subsumption_resolution,[],[f1362,f1050]) ).
fof(f1362,plain,
( op(e2,e1) != unit
| ~ spl24_49
| spl24_96
| ~ spl24_128
| ~ spl24_173 ),
inference(forward_demodulation,[],[f1361,f805]) ).
fof(f1361,plain,
( unit != op(op(unit,e2),e1)
| ~ spl24_49
| spl24_96
| ~ spl24_173 ),
inference(forward_demodulation,[],[f1360,f489]) ).
fof(f1360,plain,
( op(op(unit,e2),e1) != op(unit,unit)
| spl24_96
| ~ spl24_173 ),
inference(forward_demodulation,[],[f678,f1050]) ).
fof(f678,plain,
( op(op(unit,e2),e1) != op(unit,op(e2,e1))
| spl24_96 ),
inference(avatar_component_clause,[],[f676]) ).
fof(f676,plain,
( spl24_96
<=> op(op(unit,e2),e1) = op(unit,op(e2,e1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl24_96])]) ).
fof(f1359,plain,
( ~ spl24_11
| ~ spl24_25
| ~ spl24_48
| spl24_95 ),
inference(avatar_contradiction_clause,[],[f1358]) ).
fof(f1358,plain,
( $false
| ~ spl24_11
| ~ spl24_25
| ~ spl24_48
| spl24_95 ),
inference(subsumption_resolution,[],[f1357,f307]) ).
fof(f1357,plain,
( e2 != op(e1,e3)
| ~ spl24_25
| ~ spl24_48
| spl24_95 ),
inference(forward_demodulation,[],[f1356,f484]) ).
fof(f1356,plain,
( op(e1,e3) != op(e3,e1)
| ~ spl24_25
| spl24_95 ),
inference(forward_demodulation,[],[f674,f372]) ).
fof(f674,plain,
( op(op(e1,e1),e1) != op(e1,op(e1,e1))
| spl24_95 ),
inference(avatar_component_clause,[],[f672]) ).
fof(f672,plain,
( spl24_95
<=> op(op(e1,e1),e1) = op(e1,op(e1,e1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl24_95])]) ).
fof(f1353,plain,
( ~ spl24_76
| spl24_94
| ~ spl24_128
| ~ spl24_165 ),
inference(avatar_contradiction_clause,[],[f1352]) ).
fof(f1352,plain,
( $false
| ~ spl24_76
| spl24_94
| ~ spl24_128
| ~ spl24_165 ),
inference(subsumption_resolution,[],[f1351,f597]) ).
fof(f1351,plain,
( e1 != op(unit,e1)
| spl24_94
| ~ spl24_128
| ~ spl24_165 ),
inference(forward_demodulation,[],[f1350,f1004]) ).
fof(f1350,plain,
( op(e2,e3) != op(unit,op(e2,e3))
| spl24_94
| ~ spl24_128 ),
inference(forward_demodulation,[],[f670,f805]) ).
fof(f670,plain,
( op(unit,op(e2,e3)) != op(op(unit,e2),e3)
| spl24_94 ),
inference(avatar_component_clause,[],[f668]) ).
fof(f668,plain,
( spl24_94
<=> op(unit,op(e2,e3)) = op(op(unit,e2),e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl24_94])]) ).
fof(f1347,plain,
( ~ spl24_42
| ~ spl24_49
| spl24_93 ),
inference(avatar_contradiction_clause,[],[f1346]) ).
fof(f1346,plain,
( $false
| ~ spl24_42
| ~ spl24_49
| spl24_93 ),
inference(trivial_inequality_removal,[],[f1345]) ).
fof(f1345,plain,
( op(unit,e3) != op(unit,e3)
| ~ spl24_42
| ~ spl24_49
| spl24_93 ),
inference(forward_demodulation,[],[f1344,f489]) ).
fof(f1344,plain,
( op(unit,e3) != op(op(unit,unit),e3)
| ~ spl24_42
| spl24_93 ),
inference(forward_demodulation,[],[f666,f456]) ).
fof(f666,plain,
( op(op(unit,unit),e3) != op(unit,op(unit,e3))
| spl24_93 ),
inference(avatar_component_clause,[],[f664]) ).
fof(f664,plain,
( spl24_93
<=> op(op(unit,unit),e3) = op(unit,op(unit,e3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl24_93])]) ).
fof(f1340,plain,
( ~ spl24_30
| ~ spl24_49
| spl24_92 ),
inference(avatar_contradiction_clause,[],[f1339]) ).
fof(f1339,plain,
( $false
| ~ spl24_30
| ~ spl24_49
| spl24_92 ),
inference(subsumption_resolution,[],[f1338,f489]) ).
fof(f1338,plain,
( unit != op(unit,unit)
| ~ spl24_30
| spl24_92 ),
inference(forward_demodulation,[],[f662,f395]) ).
fof(f395,plain,
( unit = inv(unit)
| ~ spl24_30 ),
inference(avatar_component_clause,[],[f394]) ).
fof(f394,plain,
( spl24_30
<=> unit = inv(unit) ),
introduced(avatar_definition,[new_symbols(naming,[spl24_30])]) ).
fof(f662,plain,
( unit != op(unit,inv(unit))
| spl24_92 ),
inference(avatar_component_clause,[],[f660]) ).
fof(f660,plain,
( spl24_92
<=> unit = op(unit,inv(unit)) ),
introduced(avatar_definition,[new_symbols(naming,[spl24_92])]) ).
fof(f1337,plain,
( ~ spl24_25
| spl24_91
| ~ spl24_125
| ~ spl24_135
| ~ spl24_173 ),
inference(avatar_contradiction_clause,[],[f1336]) ).
fof(f1336,plain,
( $false
| ~ spl24_25
| spl24_91
| ~ spl24_125
| ~ spl24_135
| ~ spl24_173 ),
inference(subsumption_resolution,[],[f1335,f372]) ).
fof(f1335,plain,
( e3 != op(e1,e1)
| spl24_91
| ~ spl24_125
| ~ spl24_135
| ~ spl24_173 ),
inference(forward_demodulation,[],[f1334,f836]) ).
fof(f1334,plain,
( e3 != op(op(e3,e2),e1)
| spl24_91
| ~ spl24_125
| ~ spl24_173 ),
inference(forward_demodulation,[],[f1333,f793]) ).
fof(f1333,plain,
( op(op(e3,e2),e1) != op(e3,unit)
| spl24_91
| ~ spl24_173 ),
inference(forward_demodulation,[],[f658,f1050]) ).
fof(f658,plain,
( op(op(e3,e2),e1) != op(e3,op(e2,e1))
| spl24_91 ),
inference(avatar_component_clause,[],[f656]) ).
fof(f656,plain,
( spl24_91
<=> op(op(e3,e2),e1) = op(e3,op(e2,e1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl24_91])]) ).
fof(f1327,plain,
( ~ spl24_11
| ~ spl24_48
| spl24_90
| ~ spl24_173
| ~ spl24_174 ),
inference(avatar_contradiction_clause,[],[f1326]) ).
fof(f1326,plain,
( $false
| ~ spl24_11
| ~ spl24_48
| spl24_90
| ~ spl24_173
| ~ spl24_174 ),
inference(subsumption_resolution,[],[f1325,f1055]) ).
fof(f1325,plain,
( op(e1,e2) != unit
| ~ spl24_11
| ~ spl24_48
| spl24_90
| ~ spl24_173 ),
inference(forward_demodulation,[],[f1324,f1050]) ).
fof(f1324,plain,
( op(e1,e2) != op(e2,e1)
| ~ spl24_11
| ~ spl24_48
| spl24_90 ),
inference(forward_demodulation,[],[f1323,f307]) ).
fof(f1323,plain,
( op(e1,e2) != op(op(e1,e3),e1)
| ~ spl24_48
| spl24_90 ),
inference(forward_demodulation,[],[f654,f484]) ).
fof(f654,plain,
( op(op(e1,e3),e1) != op(e1,op(e3,e1))
| spl24_90 ),
inference(avatar_component_clause,[],[f652]) ).
fof(f652,plain,
( spl24_90
<=> op(op(e1,e3),e1) = op(e1,op(e3,e1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl24_90])]) ).
fof(f1322,plain,
( ~ spl24_49
| ~ spl24_70
| spl24_89
| ~ spl24_174 ),
inference(avatar_contradiction_clause,[],[f1321]) ).
fof(f1321,plain,
( $false
| ~ spl24_49
| ~ spl24_70
| spl24_89
| ~ spl24_174 ),
inference(subsumption_resolution,[],[f1320,f489]) ).
fof(f1320,plain,
( unit != op(unit,unit)
| ~ spl24_70
| spl24_89
| ~ spl24_174 ),
inference(forward_demodulation,[],[f1319,f1055]) ).
fof(f1319,plain,
( op(e1,e2) != op(op(e1,e2),unit)
| ~ spl24_70
| spl24_89 ),
inference(forward_demodulation,[],[f650,f573]) ).
fof(f650,plain,
( op(op(e1,e2),unit) != op(e1,op(e2,unit))
| spl24_89 ),
inference(avatar_component_clause,[],[f648]) ).
fof(f648,plain,
( spl24_89
<=> op(op(e1,e2),unit) = op(e1,op(e2,unit)) ),
introduced(avatar_definition,[new_symbols(naming,[spl24_89])]) ).
fof(f1317,plain,
( ~ spl24_49
| ~ spl24_70
| spl24_88 ),
inference(avatar_contradiction_clause,[],[f1316]) ).
fof(f1316,plain,
( $false
| ~ spl24_49
| ~ spl24_70
| spl24_88 ),
inference(trivial_inequality_removal,[],[f1315]) ).
fof(f1315,plain,
( op(e2,unit) != op(e2,unit)
| ~ spl24_49
| ~ spl24_70
| spl24_88 ),
inference(forward_demodulation,[],[f1314,f489]) ).
fof(f1314,plain,
( op(e2,unit) != op(e2,op(unit,unit))
| ~ spl24_70
| spl24_88 ),
inference(forward_demodulation,[],[f646,f573]) ).
fof(f646,plain,
( op(e2,op(unit,unit)) != op(op(e2,unit),unit)
| spl24_88 ),
inference(avatar_component_clause,[],[f644]) ).
fof(f644,plain,
( spl24_88
<=> op(e2,op(unit,unit)) = op(op(e2,unit),unit) ),
introduced(avatar_definition,[new_symbols(naming,[spl24_88])]) ).
fof(f1310,plain,
( ~ spl24_1
| ~ spl24_11
| ~ spl24_25
| spl24_87
| ~ spl24_135 ),
inference(avatar_contradiction_clause,[],[f1309]) ).
fof(f1309,plain,
( $false
| ~ spl24_1
| ~ spl24_11
| ~ spl24_25
| spl24_87
| ~ spl24_135 ),
inference(subsumption_resolution,[],[f1308,f372]) ).
fof(f1308,plain,
( e3 != op(e1,e1)
| ~ spl24_1
| ~ spl24_11
| spl24_87
| ~ spl24_135 ),
inference(forward_demodulation,[],[f1307,f262]) ).
fof(f1307,plain,
( op(e1,e1) != op(e2,e2)
| ~ spl24_11
| spl24_87
| ~ spl24_135 ),
inference(forward_demodulation,[],[f1306,f307]) ).
fof(f1306,plain,
( op(e1,e1) != op(op(e1,e3),e2)
| spl24_87
| ~ spl24_135 ),
inference(forward_demodulation,[],[f642,f836]) ).
fof(f642,plain,
( op(op(e1,e3),e2) != op(e1,op(e3,e2))
| spl24_87 ),
inference(avatar_component_clause,[],[f640]) ).
fof(f640,plain,
( spl24_87
<=> op(op(e1,e3),e2) = op(e1,op(e3,e2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl24_87])]) ).
fof(f1299,plain,
( ~ spl24_53
| spl24_86
| ~ spl24_125
| ~ spl24_165 ),
inference(avatar_contradiction_clause,[],[f1298]) ).
fof(f1298,plain,
( $false
| ~ spl24_53
| spl24_86
| ~ spl24_125
| ~ spl24_165 ),
inference(subsumption_resolution,[],[f1297,f1004]) ).
fof(f1297,plain,
( e1 != op(e2,e3)
| ~ spl24_53
| spl24_86
| ~ spl24_125
| ~ spl24_165 ),
inference(forward_demodulation,[],[f1296,f505]) ).
fof(f1296,plain,
( op(e2,e3) != op(e1,unit)
| spl24_86
| ~ spl24_125
| ~ spl24_165 ),
inference(forward_demodulation,[],[f1295,f793]) ).
fof(f1295,plain,
( op(e1,unit) != op(e2,op(e3,unit))
| spl24_86
| ~ spl24_165 ),
inference(forward_demodulation,[],[f638,f1004]) ).
fof(f638,plain,
( op(e2,op(e3,unit)) != op(op(e2,e3),unit)
| spl24_86 ),
inference(avatar_component_clause,[],[f636]) ).
fof(f636,plain,
( spl24_86
<=> op(e2,op(e3,unit)) = op(op(e2,e3),unit) ),
introduced(avatar_definition,[new_symbols(naming,[spl24_86])]) ).
fof(f1294,plain,
( ~ spl24_48
| ~ spl24_53
| ~ spl24_70
| spl24_85 ),
inference(avatar_contradiction_clause,[],[f1293]) ).
fof(f1293,plain,
( $false
| ~ spl24_48
| ~ spl24_53
| ~ spl24_70
| spl24_85 ),
inference(subsumption_resolution,[],[f1292,f484]) ).
fof(f1292,plain,
( e2 != op(e3,e1)
| ~ spl24_48
| ~ spl24_53
| ~ spl24_70
| spl24_85 ),
inference(forward_demodulation,[],[f1291,f573]) ).
fof(f1291,plain,
( op(e3,e1) != op(e2,unit)
| ~ spl24_48
| ~ spl24_53
| spl24_85 ),
inference(forward_demodulation,[],[f1290,f505]) ).
fof(f1290,plain,
( op(e2,unit) != op(e3,op(e1,unit))
| ~ spl24_48
| spl24_85 ),
inference(forward_demodulation,[],[f634,f484]) ).
fof(f634,plain,
( op(e3,op(e1,unit)) != op(op(e3,e1),unit)
| spl24_85 ),
inference(avatar_component_clause,[],[f632]) ).
fof(f632,plain,
( spl24_85
<=> op(e3,op(e1,unit)) = op(op(e3,e1),unit) ),
introduced(avatar_definition,[new_symbols(naming,[spl24_85])]) ).
fof(f1284,plain,
( ~ spl24_23
| ~ spl24_42
| spl24_84
| ~ spl24_125 ),
inference(avatar_contradiction_clause,[],[f1283]) ).
fof(f1283,plain,
( $false
| ~ spl24_23
| ~ spl24_42
| spl24_84
| ~ spl24_125 ),
inference(subsumption_resolution,[],[f1282,f456]) ).
fof(f1282,plain,
( e3 != op(unit,e3)
| ~ spl24_23
| spl24_84
| ~ spl24_125 ),
inference(forward_demodulation,[],[f1281,f793]) ).
fof(f1281,plain,
( op(unit,e3) != op(e3,unit)
| ~ spl24_23
| spl24_84 ),
inference(forward_demodulation,[],[f630,f364]) ).
fof(f630,plain,
( op(op(e3,e3),e3) != op(e3,op(e3,e3))
| spl24_84 ),
inference(avatar_component_clause,[],[f628]) ).
fof(f628,plain,
( spl24_84
<=> op(op(e3,e3),e3) = op(e3,op(e3,e3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl24_84])]) ).
fof(f1280,plain,
( ~ spl24_1
| ~ spl24_25
| ~ spl24_48
| spl24_83
| ~ spl24_165 ),
inference(avatar_contradiction_clause,[],[f1279]) ).
fof(f1279,plain,
( $false
| ~ spl24_1
| ~ spl24_25
| ~ spl24_48
| spl24_83
| ~ spl24_165 ),
inference(subsumption_resolution,[],[f1278,f372]) ).
fof(f1278,plain,
( e3 != op(e1,e1)
| ~ spl24_1
| ~ spl24_48
| spl24_83
| ~ spl24_165 ),
inference(forward_demodulation,[],[f1277,f262]) ).
fof(f1277,plain,
( op(e1,e1) != op(e2,e2)
| ~ spl24_48
| spl24_83
| ~ spl24_165 ),
inference(forward_demodulation,[],[f1276,f1004]) ).
fof(f1276,plain,
( op(e2,e2) != op(op(e2,e3),e1)
| ~ spl24_48
| spl24_83 ),
inference(forward_demodulation,[],[f626,f484]) ).
fof(f626,plain,
( op(op(e2,e3),e1) != op(e2,op(e3,e1))
| spl24_83 ),
inference(avatar_component_clause,[],[f624]) ).
fof(f624,plain,
( spl24_83
<=> op(op(e2,e3),e1) = op(e2,op(e3,e1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl24_83])]) ).
fof(f1271,plain,
( ~ spl24_76
| spl24_82
| ~ spl24_125 ),
inference(avatar_contradiction_clause,[],[f1270]) ).
fof(f1270,plain,
( $false
| ~ spl24_76
| spl24_82
| ~ spl24_125 ),
inference(trivial_inequality_removal,[],[f1269]) ).
fof(f1269,plain,
( op(e3,e1) != op(e3,e1)
| ~ spl24_76
| spl24_82
| ~ spl24_125 ),
inference(forward_demodulation,[],[f1268,f793]) ).
fof(f1268,plain,
( op(e3,e1) != op(op(e3,unit),e1)
| ~ spl24_76
| spl24_82 ),
inference(forward_demodulation,[],[f622,f597]) ).
fof(f622,plain,
( op(op(e3,unit),e1) != op(e3,op(unit,e1))
| spl24_82 ),
inference(avatar_component_clause,[],[f620]) ).
fof(f620,plain,
( spl24_82
<=> op(op(e3,unit),e1) = op(e3,op(unit,e1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl24_82])]) ).
fof(f1267,plain,
( ~ spl24_1
| ~ spl24_70
| spl24_81
| ~ spl24_125 ),
inference(avatar_contradiction_clause,[],[f1266]) ).
fof(f1266,plain,
( $false
| ~ spl24_1
| ~ spl24_70
| spl24_81
| ~ spl24_125 ),
inference(subsumption_resolution,[],[f1265,f262]) ).
fof(f1265,plain,
( e3 != op(e2,e2)
| ~ spl24_1
| ~ spl24_70
| spl24_81
| ~ spl24_125 ),
inference(forward_demodulation,[],[f1264,f793]) ).
fof(f1264,plain,
( op(e2,e2) != op(e3,unit)
| ~ spl24_1
| ~ spl24_70
| spl24_81 ),
inference(forward_demodulation,[],[f1263,f573]) ).
fof(f1263,plain,
( op(e3,unit) != op(e2,op(e2,unit))
| ~ spl24_1
| spl24_81 ),
inference(forward_demodulation,[],[f618,f262]) ).
fof(f618,plain,
( op(e2,op(e2,unit)) != op(op(e2,e2),unit)
| spl24_81 ),
inference(avatar_component_clause,[],[f616]) ).
fof(f616,plain,
( spl24_81
<=> op(e2,op(e2,unit)) = op(op(e2,e2),unit) ),
introduced(avatar_definition,[new_symbols(naming,[spl24_81])]) ).
fof(f1259,plain,
( ~ spl24_11
| ~ spl24_23
| ~ spl24_53
| spl24_80
| ~ spl24_165 ),
inference(avatar_contradiction_clause,[],[f1258]) ).
fof(f1258,plain,
( $false
| ~ spl24_11
| ~ spl24_23
| ~ spl24_53
| spl24_80
| ~ spl24_165 ),
inference(subsumption_resolution,[],[f1257,f1004]) ).
fof(f1257,plain,
( e1 != op(e2,e3)
| ~ spl24_11
| ~ spl24_23
| ~ spl24_53
| spl24_80 ),
inference(forward_demodulation,[],[f1256,f307]) ).
fof(f1256,plain,
( e1 != op(op(e1,e3),e3)
| ~ spl24_23
| ~ spl24_53
| spl24_80 ),
inference(forward_demodulation,[],[f1255,f505]) ).
fof(f1255,plain,
( op(op(e1,e3),e3) != op(e1,unit)
| ~ spl24_23
| spl24_80 ),
inference(forward_demodulation,[],[f614,f364]) ).
fof(f614,plain,
( op(op(e1,e3),e3) != op(e1,op(e3,e3))
| spl24_80 ),
inference(avatar_component_clause,[],[f612]) ).
fof(f612,plain,
( spl24_80
<=> op(op(e1,e3),e3) = op(e1,op(e3,e3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl24_80])]) ).
fof(f1250,plain,
( ~ spl24_42
| ~ spl24_70
| spl24_79 ),
inference(avatar_contradiction_clause,[],[f1249]) ).
fof(f1249,plain,
( $false
| ~ spl24_42
| ~ spl24_70
| spl24_79 ),
inference(trivial_inequality_removal,[],[f1248]) ).
fof(f1248,plain,
( op(e2,e3) != op(e2,e3)
| ~ spl24_42
| ~ spl24_70
| spl24_79 ),
inference(forward_demodulation,[],[f1247,f456]) ).
fof(f1247,plain,
( op(e2,e3) != op(e2,op(unit,e3))
| ~ spl24_70
| spl24_79 ),
inference(forward_demodulation,[],[f610,f573]) ).
fof(f610,plain,
( op(e2,op(unit,e3)) != op(op(e2,unit),e3)
| spl24_79 ),
inference(avatar_component_clause,[],[f608]) ).
fof(f608,plain,
( spl24_79
<=> op(e2,op(unit,e3)) = op(op(e2,unit),e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl24_79])]) ).
fof(f1246,plain,
( ~ spl24_25
| ~ spl24_53
| spl24_78
| ~ spl24_135
| ~ spl24_174 ),
inference(avatar_contradiction_clause,[],[f1245]) ).
fof(f1245,plain,
( $false
| ~ spl24_25
| ~ spl24_53
| spl24_78
| ~ spl24_135
| ~ spl24_174 ),
inference(subsumption_resolution,[],[f1244,f836]) ).
fof(f1244,plain,
( e1 != op(e3,e2)
| ~ spl24_25
| ~ spl24_53
| spl24_78
| ~ spl24_174 ),
inference(forward_demodulation,[],[f1243,f372]) ).
fof(f1243,plain,
( e1 != op(op(e1,e1),e2)
| ~ spl24_53
| spl24_78
| ~ spl24_174 ),
inference(forward_demodulation,[],[f1242,f505]) ).
fof(f1242,plain,
( op(op(e1,e1),e2) != op(e1,unit)
| spl24_78
| ~ spl24_174 ),
inference(forward_demodulation,[],[f606,f1055]) ).
fof(f606,plain,
( op(op(e1,e1),e2) != op(e1,op(e1,e2))
| spl24_78 ),
inference(avatar_component_clause,[],[f604]) ).
fof(f604,plain,
( spl24_78
<=> op(op(e1,e1),e2) = op(e1,op(e1,e2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl24_78])]) ).
fof(f1239,plain,
( ~ spl24_42
| ~ spl24_48
| spl24_77
| ~ spl24_128 ),
inference(avatar_contradiction_clause,[],[f1238]) ).
fof(f1238,plain,
( $false
| ~ spl24_42
| ~ spl24_48
| spl24_77
| ~ spl24_128 ),
inference(subsumption_resolution,[],[f1237,f805]) ).
fof(f1237,plain,
( e2 != op(unit,e2)
| ~ spl24_42
| ~ spl24_48
| spl24_77 ),
inference(forward_demodulation,[],[f1236,f484]) ).
fof(f1236,plain,
( op(e3,e1) != op(unit,op(e3,e1))
| ~ spl24_42
| spl24_77 ),
inference(forward_demodulation,[],[f602,f456]) ).
fof(f602,plain,
( op(unit,op(e3,e1)) != op(op(unit,e3),e1)
| spl24_77 ),
inference(avatar_component_clause,[],[f600]) ).
fof(f600,plain,
( spl24_77
<=> op(unit,op(e3,e1)) = op(op(unit,e3),e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl24_77])]) ).
fof(f1231,plain,
( ~ spl24_30
| ~ spl24_49
| spl24_75 ),
inference(avatar_contradiction_clause,[],[f1230]) ).
fof(f1230,plain,
( $false
| ~ spl24_30
| ~ spl24_49
| spl24_75 ),
inference(subsumption_resolution,[],[f1229,f489]) ).
fof(f1229,plain,
( unit != op(unit,unit)
| ~ spl24_30
| spl24_75 ),
inference(forward_demodulation,[],[f594,f395]) ).
fof(f594,plain,
( unit != op(inv(unit),unit)
| spl24_75 ),
inference(avatar_component_clause,[],[f592]) ).
fof(f592,plain,
( spl24_75
<=> unit = op(inv(unit),unit) ),
introduced(avatar_definition,[new_symbols(naming,[spl24_75])]) ).
fof(f1228,plain,
( ~ spl24_49
| ~ spl24_53
| spl24_74
| ~ spl24_173 ),
inference(avatar_contradiction_clause,[],[f1227]) ).
fof(f1227,plain,
( $false
| ~ spl24_49
| ~ spl24_53
| spl24_74
| ~ spl24_173 ),
inference(subsumption_resolution,[],[f1226,f1050]) ).
fof(f1226,plain,
( op(e2,e1) != unit
| ~ spl24_49
| ~ spl24_53
| spl24_74
| ~ spl24_173 ),
inference(forward_demodulation,[],[f1225,f505]) ).
fof(f1225,plain,
( unit != op(e2,op(e1,unit))
| ~ spl24_49
| spl24_74
| ~ spl24_173 ),
inference(forward_demodulation,[],[f1224,f489]) ).
fof(f1224,plain,
( op(e2,op(e1,unit)) != op(unit,unit)
| spl24_74
| ~ spl24_173 ),
inference(forward_demodulation,[],[f590,f1050]) ).
fof(f590,plain,
( op(e2,op(e1,unit)) != op(op(e2,e1),unit)
| spl24_74 ),
inference(avatar_component_clause,[],[f588]) ).
fof(f588,plain,
( spl24_74
<=> op(e2,op(e1,unit)) = op(op(e2,e1),unit) ),
introduced(avatar_definition,[new_symbols(naming,[spl24_74])]) ).
fof(f1220,plain,
( ~ spl24_53
| spl24_73
| ~ spl24_76
| ~ spl24_173
| ~ spl24_174 ),
inference(avatar_contradiction_clause,[],[f1219]) ).
fof(f1219,plain,
( $false
| ~ spl24_53
| spl24_73
| ~ spl24_76
| ~ spl24_173
| ~ spl24_174 ),
inference(subsumption_resolution,[],[f1218,f597]) ).
fof(f1218,plain,
( e1 != op(unit,e1)
| ~ spl24_53
| spl24_73
| ~ spl24_173
| ~ spl24_174 ),
inference(forward_demodulation,[],[f1217,f1055]) ).
fof(f1217,plain,
( e1 != op(op(e1,e2),e1)
| ~ spl24_53
| spl24_73
| ~ spl24_173 ),
inference(forward_demodulation,[],[f1216,f505]) ).
fof(f1216,plain,
( op(op(e1,e2),e1) != op(e1,unit)
| spl24_73
| ~ spl24_173 ),
inference(forward_demodulation,[],[f586,f1050]) ).
fof(f586,plain,
( op(op(e1,e2),e1) != op(e1,op(e2,e1))
| spl24_73 ),
inference(avatar_component_clause,[],[f584]) ).
fof(f584,plain,
( spl24_73
<=> op(op(e1,e2),e1) = op(e1,op(e2,e1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl24_73])]) ).
fof(f1213,plain,
( ~ spl24_49
| spl24_72
| ~ spl24_125 ),
inference(avatar_contradiction_clause,[],[f1212]) ).
fof(f1212,plain,
( $false
| ~ spl24_49
| spl24_72
| ~ spl24_125 ),
inference(trivial_inequality_removal,[],[f1211]) ).
fof(f1211,plain,
( op(e3,unit) != op(e3,unit)
| ~ spl24_49
| spl24_72
| ~ spl24_125 ),
inference(forward_demodulation,[],[f1210,f489]) ).
fof(f1210,plain,
( op(e3,unit) != op(e3,op(unit,unit))
| spl24_72
| ~ spl24_125 ),
inference(forward_demodulation,[],[f582,f793]) ).
fof(f582,plain,
( op(e3,op(unit,unit)) != op(op(e3,unit),unit)
| spl24_72 ),
inference(avatar_component_clause,[],[f580]) ).
fof(f580,plain,
( spl24_72
<=> op(e3,op(unit,unit)) = op(op(e3,unit),unit) ),
introduced(avatar_definition,[new_symbols(naming,[spl24_72])]) ).
fof(f1208,plain,
( ~ spl24_49
| spl24_71
| ~ spl24_128 ),
inference(avatar_contradiction_clause,[],[f1207]) ).
fof(f1207,plain,
( $false
| ~ spl24_49
| spl24_71
| ~ spl24_128 ),
inference(trivial_inequality_removal,[],[f1206]) ).
fof(f1206,plain,
( op(unit,e2) != op(unit,e2)
| ~ spl24_49
| spl24_71
| ~ spl24_128 ),
inference(forward_demodulation,[],[f1205,f489]) ).
fof(f1205,plain,
( op(unit,e2) != op(op(unit,unit),e2)
| spl24_71
| ~ spl24_128 ),
inference(forward_demodulation,[],[f578,f805]) ).
fof(f578,plain,
( op(op(unit,unit),e2) != op(unit,op(unit,e2))
| spl24_71 ),
inference(avatar_component_clause,[],[f576]) ).
fof(f576,plain,
( spl24_71
<=> op(op(unit,unit),e2) = op(unit,op(unit,e2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl24_71])]) ).
fof(f1201,plain,
( ~ spl24_53
| spl24_69
| ~ spl24_76 ),
inference(avatar_contradiction_clause,[],[f1200]) ).
fof(f1200,plain,
( $false
| ~ spl24_53
| spl24_69
| ~ spl24_76 ),
inference(trivial_inequality_removal,[],[f1199]) ).
fof(f1199,plain,
( op(e1,e1) != op(e1,e1)
| ~ spl24_53
| spl24_69
| ~ spl24_76 ),
inference(forward_demodulation,[],[f1198,f597]) ).
fof(f1198,plain,
( op(e1,e1) != op(e1,op(unit,e1))
| ~ spl24_53
| spl24_69 ),
inference(forward_demodulation,[],[f570,f505]) ).
fof(f570,plain,
( op(e1,op(unit,e1)) != op(op(e1,unit),e1)
| spl24_69 ),
inference(avatar_component_clause,[],[f568]) ).
fof(f568,plain,
( spl24_69
<=> op(e1,op(unit,e1)) = op(op(e1,unit),e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl24_69])]) ).
fof(f1197,plain,
( spl24_68
| ~ spl24_135
| ~ spl24_165
| ~ spl24_173
| ~ spl24_174 ),
inference(avatar_contradiction_clause,[],[f1196]) ).
fof(f1196,plain,
( $false
| spl24_68
| ~ spl24_135
| ~ spl24_165
| ~ spl24_173
| ~ spl24_174 ),
inference(subsumption_resolution,[],[f1195,f1055]) ).
fof(f1195,plain,
( op(e1,e2) != unit
| spl24_68
| ~ spl24_135
| ~ spl24_165
| ~ spl24_173 ),
inference(forward_demodulation,[],[f1194,f1050]) ).
fof(f1194,plain,
( op(e1,e2) != op(e2,e1)
| spl24_68
| ~ spl24_135
| ~ spl24_165 ),
inference(forward_demodulation,[],[f1193,f1004]) ).
fof(f1193,plain,
( op(e2,e1) != op(op(e2,e3),e2)
| spl24_68
| ~ spl24_135 ),
inference(forward_demodulation,[],[f566,f836]) ).
fof(f566,plain,
( op(op(e2,e3),e2) != op(e2,op(e3,e2))
| spl24_68 ),
inference(avatar_component_clause,[],[f564]) ).
fof(f564,plain,
( spl24_68
<=> op(op(e2,e3),e2) = op(e2,op(e3,e2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl24_68])]) ).
fof(f1186,plain,
( ~ spl24_49
| spl24_66
| ~ spl24_76
| ~ spl24_174 ),
inference(avatar_contradiction_clause,[],[f1185]) ).
fof(f1185,plain,
( $false
| ~ spl24_49
| spl24_66
| ~ spl24_76
| ~ spl24_174 ),
inference(subsumption_resolution,[],[f1184,f1055]) ).
fof(f1184,plain,
( op(e1,e2) != unit
| ~ spl24_49
| spl24_66
| ~ spl24_76
| ~ spl24_174 ),
inference(forward_demodulation,[],[f1183,f489]) ).
fof(f1183,plain,
( op(e1,e2) != op(unit,unit)
| spl24_66
| ~ spl24_76
| ~ spl24_174 ),
inference(forward_demodulation,[],[f1182,f597]) ).
fof(f1182,plain,
( op(unit,unit) != op(op(unit,e1),e2)
| spl24_66
| ~ spl24_174 ),
inference(forward_demodulation,[],[f558,f1055]) ).
fof(f558,plain,
( op(op(unit,e1),e2) != op(unit,op(e1,e2))
| spl24_66 ),
inference(avatar_component_clause,[],[f556]) ).
fof(f556,plain,
( spl24_66
<=> op(op(unit,e1),e2) = op(unit,op(e1,e2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl24_66])]) ).
fof(f1178,plain,
( spl24_64
| ~ spl24_70
| ~ spl24_128
| ~ spl24_173
| ~ spl24_174 ),
inference(avatar_contradiction_clause,[],[f1177]) ).
fof(f1177,plain,
( $false
| spl24_64
| ~ spl24_70
| ~ spl24_128
| ~ spl24_173
| ~ spl24_174 ),
inference(subsumption_resolution,[],[f1176,f805]) ).
fof(f1176,plain,
( e2 != op(unit,e2)
| spl24_64
| ~ spl24_70
| ~ spl24_173
| ~ spl24_174 ),
inference(forward_demodulation,[],[f1175,f1050]) ).
fof(f1175,plain,
( e2 != op(op(e2,e1),e2)
| spl24_64
| ~ spl24_70
| ~ spl24_174 ),
inference(forward_demodulation,[],[f1174,f573]) ).
fof(f1174,plain,
( op(op(e2,e1),e2) != op(e2,unit)
| spl24_64
| ~ spl24_174 ),
inference(forward_demodulation,[],[f550,f1055]) ).
fof(f550,plain,
( op(op(e2,e1),e2) != op(e2,op(e1,e2))
| spl24_64 ),
inference(avatar_component_clause,[],[f548]) ).
fof(f548,plain,
( spl24_64
<=> op(op(e2,e1),e2) = op(e2,op(e1,e2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl24_64])]) ).
fof(f1172,plain,
( ~ spl24_23
| ~ spl24_48
| spl24_63
| ~ spl24_76
| ~ spl24_135 ),
inference(avatar_contradiction_clause,[],[f1171]) ).
fof(f1171,plain,
( $false
| ~ spl24_23
| ~ spl24_48
| spl24_63
| ~ spl24_76
| ~ spl24_135 ),
inference(subsumption_resolution,[],[f1170,f836]) ).
fof(f1170,plain,
( e1 != op(e3,e2)
| ~ spl24_23
| ~ spl24_48
| spl24_63
| ~ spl24_76 ),
inference(forward_demodulation,[],[f1169,f597]) ).
fof(f1169,plain,
( op(e3,e2) != op(unit,e1)
| ~ spl24_23
| ~ spl24_48
| spl24_63 ),
inference(forward_demodulation,[],[f1168,f364]) ).
fof(f1168,plain,
( op(e3,e2) != op(op(e3,e3),e1)
| ~ spl24_48
| spl24_63 ),
inference(forward_demodulation,[],[f546,f484]) ).
fof(f546,plain,
( op(op(e3,e3),e1) != op(e3,op(e3,e1))
| spl24_63 ),
inference(avatar_component_clause,[],[f544]) ).
fof(f544,plain,
( spl24_63
<=> op(op(e3,e3),e1) = op(e3,op(e3,e1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl24_63])]) ).
fof(f1167,plain,
( spl24_62
| ~ spl24_70
| ~ spl24_128 ),
inference(avatar_contradiction_clause,[],[f1166]) ).
fof(f1166,plain,
( $false
| spl24_62
| ~ spl24_70
| ~ spl24_128 ),
inference(trivial_inequality_removal,[],[f1165]) ).
fof(f1165,plain,
( op(e2,e2) != op(e2,e2)
| spl24_62
| ~ spl24_70
| ~ spl24_128 ),
inference(forward_demodulation,[],[f1164,f805]) ).
fof(f1164,plain,
( op(e2,e2) != op(e2,op(unit,e2))
| spl24_62
| ~ spl24_70 ),
inference(forward_demodulation,[],[f542,f573]) ).
fof(f542,plain,
( op(e2,op(unit,e2)) != op(op(e2,unit),e2)
| spl24_62 ),
inference(avatar_component_clause,[],[f540]) ).
fof(f540,plain,
( spl24_62
<=> op(e2,op(unit,e2)) = op(op(e2,unit),e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl24_62])]) ).
fof(f1160,plain,
( ~ spl24_23
| ~ spl24_48
| spl24_61
| ~ spl24_128
| ~ spl24_135 ),
inference(avatar_contradiction_clause,[],[f1159]) ).
fof(f1159,plain,
( $false
| ~ spl24_23
| ~ spl24_48
| spl24_61
| ~ spl24_128
| ~ spl24_135 ),
inference(subsumption_resolution,[],[f1158,f484]) ).
fof(f1158,plain,
( e2 != op(e3,e1)
| ~ spl24_23
| spl24_61
| ~ spl24_128
| ~ spl24_135 ),
inference(forward_demodulation,[],[f1157,f805]) ).
fof(f1157,plain,
( op(e3,e1) != op(unit,e2)
| ~ spl24_23
| spl24_61
| ~ spl24_135 ),
inference(forward_demodulation,[],[f1156,f364]) ).
fof(f1156,plain,
( op(e3,e1) != op(op(e3,e3),e2)
| spl24_61
| ~ spl24_135 ),
inference(forward_demodulation,[],[f538,f836]) ).
fof(f538,plain,
( op(op(e3,e3),e2) != op(e3,op(e3,e2))
| spl24_61 ),
inference(avatar_component_clause,[],[f536]) ).
fof(f536,plain,
( spl24_61
<=> op(op(e3,e3),e2) = op(e3,op(e3,e2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl24_61])]) ).
fof(f1153,plain,
( spl24_60
| ~ spl24_125
| ~ spl24_128 ),
inference(avatar_contradiction_clause,[],[f1152]) ).
fof(f1152,plain,
( $false
| spl24_60
| ~ spl24_125
| ~ spl24_128 ),
inference(trivial_inequality_removal,[],[f1151]) ).
fof(f1151,plain,
( op(e3,e2) != op(e3,e2)
| spl24_60
| ~ spl24_125
| ~ spl24_128 ),
inference(forward_demodulation,[],[f1150,f793]) ).
fof(f1150,plain,
( op(e3,e2) != op(op(e3,unit),e2)
| spl24_60
| ~ spl24_128 ),
inference(forward_demodulation,[],[f534,f805]) ).
fof(f534,plain,
( op(op(e3,unit),e2) != op(e3,op(unit,e2))
| spl24_60 ),
inference(avatar_component_clause,[],[f532]) ).
fof(f532,plain,
( spl24_60
<=> op(op(e3,unit),e2) = op(e3,op(unit,e2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl24_60])]) ).
fof(f1149,plain,
( ~ spl24_23
| spl24_59
| ~ spl24_144 ),
inference(avatar_contradiction_clause,[],[f1148]) ).
fof(f1148,plain,
( $false
| ~ spl24_23
| spl24_59
| ~ spl24_144 ),
inference(subsumption_resolution,[],[f1147,f364]) ).
fof(f1147,plain,
( op(e3,e3) != unit
| spl24_59
| ~ spl24_144 ),
inference(forward_demodulation,[],[f530,f885]) ).
fof(f530,plain,
( unit != op(e3,inv(e3))
| spl24_59 ),
inference(avatar_component_clause,[],[f528]) ).
fof(f528,plain,
( spl24_59
<=> unit = op(e3,inv(e3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl24_59])]) ).
fof(f1145,plain,
( ~ spl24_42
| spl24_58
| ~ spl24_125 ),
inference(avatar_contradiction_clause,[],[f1144]) ).
fof(f1144,plain,
( $false
| ~ spl24_42
| spl24_58
| ~ spl24_125 ),
inference(trivial_inequality_removal,[],[f1143]) ).
fof(f1143,plain,
( op(e3,e3) != op(e3,e3)
| ~ spl24_42
| spl24_58
| ~ spl24_125 ),
inference(forward_demodulation,[],[f1142,f793]) ).
fof(f1142,plain,
( op(e3,e3) != op(op(e3,unit),e3)
| ~ spl24_42
| spl24_58 ),
inference(forward_demodulation,[],[f526,f456]) ).
fof(f526,plain,
( op(op(e3,unit),e3) != op(e3,op(unit,e3))
| spl24_58 ),
inference(avatar_component_clause,[],[f524]) ).
fof(f524,plain,
( spl24_58
<=> op(op(e3,unit),e3) = op(e3,op(unit,e3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl24_58])]) ).
fof(f1136,plain,
( ~ spl24_1
| ~ spl24_42
| spl24_57
| ~ spl24_128 ),
inference(avatar_contradiction_clause,[],[f1135]) ).
fof(f1135,plain,
( $false
| ~ spl24_1
| ~ spl24_42
| spl24_57
| ~ spl24_128 ),
inference(subsumption_resolution,[],[f1134,f456]) ).
fof(f1134,plain,
( e3 != op(unit,e3)
| ~ spl24_1
| spl24_57
| ~ spl24_128 ),
inference(forward_demodulation,[],[f1133,f262]) ).
fof(f1133,plain,
( op(e2,e2) != op(unit,op(e2,e2))
| spl24_57
| ~ spl24_128 ),
inference(forward_demodulation,[],[f522,f805]) ).
fof(f522,plain,
( op(unit,op(e2,e2)) != op(op(unit,e2),e2)
| spl24_57 ),
inference(avatar_component_clause,[],[f520]) ).
fof(f520,plain,
( spl24_57
<=> op(unit,op(e2,e2)) = op(op(unit,e2),e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl24_57])]) ).
fof(f1132,plain,
( ~ spl24_1
| ~ spl24_11
| ~ spl24_42
| spl24_55
| ~ spl24_173 ),
inference(avatar_contradiction_clause,[],[f1131]) ).
fof(f1131,plain,
( $false
| ~ spl24_1
| ~ spl24_11
| ~ spl24_42
| spl24_55
| ~ spl24_173 ),
inference(subsumption_resolution,[],[f1130,f262]) ).
fof(f1130,plain,
( e3 != op(e2,e2)
| ~ spl24_11
| ~ spl24_42
| spl24_55
| ~ spl24_173 ),
inference(forward_demodulation,[],[f1129,f456]) ).
fof(f1129,plain,
( op(e2,e2) != op(unit,e3)
| ~ spl24_11
| spl24_55
| ~ spl24_173 ),
inference(forward_demodulation,[],[f1128,f1050]) ).
fof(f1128,plain,
( op(e2,e2) != op(op(e2,e1),e3)
| ~ spl24_11
| spl24_55 ),
inference(forward_demodulation,[],[f514,f307]) ).
fof(f514,plain,
( op(op(e2,e1),e3) != op(e2,op(e1,e3))
| spl24_55 ),
inference(avatar_component_clause,[],[f512]) ).
fof(f512,plain,
( spl24_55
<=> op(op(e2,e1),e3) = op(e2,op(e1,e3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl24_55])]) ).
fof(f1123,plain,
( ~ spl24_53
| spl24_54
| ~ spl24_128 ),
inference(avatar_contradiction_clause,[],[f1122]) ).
fof(f1122,plain,
( $false
| ~ spl24_53
| spl24_54
| ~ spl24_128 ),
inference(trivial_inequality_removal,[],[f1121]) ).
fof(f1121,plain,
( op(e1,e2) != op(e1,e2)
| ~ spl24_53
| spl24_54
| ~ spl24_128 ),
inference(forward_demodulation,[],[f1120,f805]) ).
fof(f1120,plain,
( op(e1,e2) != op(e1,op(unit,e2))
| ~ spl24_53
| spl24_54 ),
inference(forward_demodulation,[],[f510,f505]) ).
fof(f510,plain,
( op(e1,op(unit,e2)) != op(op(e1,unit),e2)
| spl24_54 ),
inference(avatar_component_clause,[],[f508]) ).
fof(f508,plain,
( spl24_54
<=> op(e1,op(unit,e2)) = op(op(e1,unit),e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl24_54])]) ).
fof(f1119,plain,
( ~ spl24_25
| ~ spl24_42
| spl24_52
| ~ spl24_165
| ~ spl24_174 ),
inference(avatar_contradiction_clause,[],[f1118]) ).
fof(f1118,plain,
( $false
| ~ spl24_25
| ~ spl24_42
| spl24_52
| ~ spl24_165
| ~ spl24_174 ),
inference(subsumption_resolution,[],[f1117,f456]) ).
fof(f1117,plain,
( e3 != op(unit,e3)
| ~ spl24_25
| spl24_52
| ~ spl24_165
| ~ spl24_174 ),
inference(backward_demodulation,[],[f1116,f1055]) ).
fof(f1116,plain,
( e3 != op(op(e1,e2),e3)
| ~ spl24_25
| spl24_52
| ~ spl24_165 ),
inference(forward_demodulation,[],[f1115,f372]) ).
fof(f1115,plain,
( op(e1,e1) != op(op(e1,e2),e3)
| spl24_52
| ~ spl24_165 ),
inference(backward_demodulation,[],[f502,f1004]) ).
fof(f502,plain,
( op(op(e1,e2),e3) != op(e1,op(e2,e3))
| spl24_52 ),
inference(avatar_component_clause,[],[f500]) ).
fof(f500,plain,
( spl24_52
<=> op(op(e1,e2),e3) = op(e1,op(e2,e3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl24_52])]) ).
fof(f1111,plain,
( ~ spl24_11
| spl24_51
| ~ spl24_76
| ~ spl24_128 ),
inference(avatar_contradiction_clause,[],[f1110]) ).
fof(f1110,plain,
( $false
| ~ spl24_11
| spl24_51
| ~ spl24_76
| ~ spl24_128 ),
inference(subsumption_resolution,[],[f1109,f805]) ).
fof(f1109,plain,
( e2 != op(unit,e2)
| ~ spl24_11
| spl24_51
| ~ spl24_76 ),
inference(backward_demodulation,[],[f1105,f307]) ).
fof(f1105,plain,
( op(e1,e3) != op(unit,op(e1,e3))
| spl24_51
| ~ spl24_76 ),
inference(forward_demodulation,[],[f498,f597]) ).
fof(f498,plain,
( op(op(unit,e1),e3) != op(unit,op(e1,e3))
| spl24_51 ),
inference(avatar_component_clause,[],[f496]) ).
fof(f496,plain,
( spl24_51
<=> op(op(unit,e1),e3) = op(unit,op(e1,e3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl24_51])]) ).
fof(f1108,plain,
spl24_174,
inference(avatar_split_clause,[],[f192,f1054]) ).
fof(f192,plain,
op(e1,e2) = unit,
inference(definition_unfolding,[],[f61,f74]) ).
fof(f74,plain,
e0 = unit,
inference(cnf_transformation,[],[f3]) ).
fof(f3,axiom,
e0 = unit,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax3) ).
fof(f61,plain,
e0 = op(e1,e2),
inference(cnf_transformation,[],[f2]) ).
fof(f2,axiom,
( e3 = op(e1,e1)
& e2 = op(e1,e3)
& e0 = op(e0,e0)
& e1 = op(e0,e1)
& e2 = op(e3,e1)
& e3 = op(e3,e0)
& e1 = op(e1,e0)
& e1 = op(e3,e2)
& e0 = op(e3,e3)
& e0 = op(e2,e1)
& e3 = op(e0,e3)
& e3 = op(e2,e2)
& e0 = op(e1,e2)
& e1 = op(e2,e3)
& e2 = op(e0,e2)
& e2 = op(e2,e0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax2) ).
fof(f1107,plain,
spl24_173,
inference(avatar_split_clause,[],[f190,f1049]) ).
fof(f190,plain,
op(e2,e1) = unit,
inference(definition_unfolding,[],[f64,f74]) ).
fof(f64,plain,
e0 = op(e2,e1),
inference(cnf_transformation,[],[f2]) ).
fof(f1106,plain,
spl24_23,
inference(avatar_split_clause,[],[f189,f362]) ).
fof(f189,plain,
op(e3,e3) = unit,
inference(definition_unfolding,[],[f65,f74]) ).
fof(f65,plain,
e0 = op(e3,e3),
inference(cnf_transformation,[],[f2]) ).
fof(f1101,plain,
spl24_53,
inference(avatar_split_clause,[],[f188,f504]) ).
fof(f188,plain,
e1 = op(e1,unit),
inference(definition_unfolding,[],[f67,f74]) ).
fof(f67,plain,
e1 = op(e1,e0),
inference(cnf_transformation,[],[f2]) ).
fof(f1098,plain,
( ~ spl24_53
| spl24_50
| ~ spl24_70
| ~ spl24_135 ),
inference(avatar_split_clause,[],[f1097,f835,f572,f492,f504]) ).
fof(f492,plain,
( spl24_50
<=> op(op(e3,e2),unit) = op(e3,op(e2,unit)) ),
introduced(avatar_definition,[new_symbols(naming,[spl24_50])]) ).
fof(f1097,plain,
( e1 != op(e1,unit)
| spl24_50
| ~ spl24_70
| ~ spl24_135 ),
inference(forward_demodulation,[],[f1096,f836]) ).
fof(f1096,plain,
( op(e3,e2) != op(op(e3,e2),unit)
| spl24_50
| ~ spl24_70 ),
inference(forward_demodulation,[],[f494,f573]) ).
fof(f494,plain,
( op(op(e3,e2),unit) != op(e3,op(e2,unit))
| spl24_50 ),
inference(avatar_component_clause,[],[f492]) ).
fof(f1095,plain,
spl24_76,
inference(avatar_split_clause,[],[f186,f596]) ).
fof(f186,plain,
e1 = op(unit,e1),
inference(definition_unfolding,[],[f70,f74]) ).
fof(f70,plain,
e1 = op(e0,e1),
inference(cnf_transformation,[],[f2]) ).
fof(f1092,plain,
spl24_165,
inference(avatar_split_clause,[],[f60,f1003]) ).
fof(f60,plain,
e1 = op(e2,e3),
inference(cnf_transformation,[],[f2]) ).
fof(f1091,plain,
spl24_157,
inference(avatar_split_clause,[],[f76,f954]) ).
fof(f76,plain,
e2 = inv(e1),
inference(cnf_transformation,[],[f4]) ).
fof(f4,axiom,
( e3 = inv(e3)
& e0 = inv(e0)
& e2 = inv(e1)
& e1 = inv(e2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax4) ).
fof(f1090,plain,
~ spl24_172,
inference(avatar_split_clause,[],[f198,f1041]) ).
fof(f198,plain,
e2 != unit,
inference(definition_unfolding,[],[f79,f74]) ).
fof(f79,plain,
e0 != e2,
inference(cnf_transformation,[],[f1]) ).
fof(f1,axiom,
( e2 != e3
& e0 != e3
& e1 != e2
& e1 != e3
& e0 != e1
& e0 != e2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax1) ).
fof(f1089,plain,
~ spl24_159,
inference(avatar_split_clause,[],[f197,f966]) ).
fof(f197,plain,
e1 != unit,
inference(definition_unfolding,[],[f80,f74]) ).
fof(f80,plain,
e0 != e1,
inference(cnf_transformation,[],[f1]) ).
fof(f1088,plain,
~ spl24_151,
inference(avatar_split_clause,[],[f196,f921]) ).
fof(f196,plain,
e3 != unit,
inference(definition_unfolding,[],[f83,f74]) ).
fof(f83,plain,
e0 != e3,
inference(cnf_transformation,[],[f1]) ).
fof(f1077,plain,
( ~ spl24_70
| ~ spl24_44 ),
inference(avatar_split_clause,[],[f221,f464,f572]) ).
fof(f464,plain,
( spl24_44
<=> sP10 ),
introduced(avatar_definition,[new_symbols(naming,[spl24_44])]) ).
fof(f221,plain,
( ~ sP10
| e2 != op(e2,unit) ),
inference(definition_unfolding,[],[f140,f74]) ).
fof(f140,plain,
( e2 != op(e2,e0)
| ~ sP10 ),
inference(cnf_transformation,[],[f47]) ).
fof(f47,plain,
( ( e2 != op(e2,e0)
& e0 != op(e2,e0)
& e1 != op(e2,e0)
& e3 != op(e2,e0) )
| ~ sP10 ),
inference(nnf_transformation,[],[f19]) ).
fof(f19,plain,
( ( e2 != op(e2,e0)
& e0 != op(e2,e0)
& e1 != op(e2,e0)
& e3 != op(e2,e0) )
| ~ sP10 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP10])]) ).
fof(f1070,plain,
spl24_25,
inference(avatar_split_clause,[],[f73,f371]) ).
fof(f73,plain,
e3 = op(e1,e1),
inference(cnf_transformation,[],[f2]) ).
fof(f1069,plain,
~ spl24_65,
inference(avatar_split_clause,[],[f254,f552]) ).
fof(f552,plain,
( spl24_65
<=> sP22 ),
introduced(avatar_definition,[new_symbols(naming,[spl24_65])]) ).
fof(f254,plain,
~ sP22,
inference(trivial_inequality_removal,[],[f203]) ).
fof(f203,plain,
( unit != unit
| ~ sP22 ),
inference(definition_unfolding,[],[f91,f74]) ).
fof(f91,plain,
( e0 != unit
| ~ sP22 ),
inference(cnf_transformation,[],[f35]) ).
fof(f35,plain,
( ( e1 != unit
& e0 != unit
& e3 != unit
& e2 != unit )
| ~ sP22 ),
inference(nnf_transformation,[],[f31]) ).
fof(f31,plain,
( ( e1 != unit
& e0 != unit
& e3 != unit
& e2 != unit )
| ~ sP22 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP22])]) ).
fof(f1057,plain,
( ~ spl24_174
| ~ spl24_39 ),
inference(avatar_split_clause,[],[f229,f438,f1054]) ).
fof(f438,plain,
( spl24_39
<=> sP8 ),
introduced(avatar_definition,[new_symbols(naming,[spl24_39])]) ).
fof(f229,plain,
( ~ sP8
| op(e1,e2) != unit ),
inference(definition_unfolding,[],[f147,f74]) ).
fof(f147,plain,
( e0 != op(e1,e2)
| ~ sP8 ),
inference(cnf_transformation,[],[f49]) ).
fof(f49,plain,
( ( e2 != op(e1,e2)
& e0 != op(e1,e2)
& e1 != op(e1,e2)
& e3 != op(e1,e2) )
| ~ sP8 ),
inference(nnf_transformation,[],[f17]) ).
fof(f17,plain,
( ( e2 != op(e1,e2)
& e0 != op(e1,e2)
& e1 != op(e1,e2)
& e3 != op(e1,e2) )
| ~ sP8 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP8])]) ).
fof(f1052,plain,
( ~ spl24_173
| ~ spl24_17 ),
inference(avatar_split_clause,[],[f249,f334,f1049]) ).
fof(f334,plain,
( spl24_17
<=> sP0 ),
introduced(avatar_definition,[new_symbols(naming,[spl24_17])]) ).
fof(f249,plain,
( ~ sP0
| op(e2,e1) != unit ),
inference(definition_unfolding,[],[f180,f74]) ).
fof(f180,plain,
( e0 != op(e2,e1)
| ~ sP0 ),
inference(cnf_transformation,[],[f57]) ).
fof(f57,plain,
( ( e0 != op(e2,e1)
& e2 != op(e2,e1)
& e1 != op(e2,e1)
& e3 != op(e2,e1) )
| ~ sP0 ),
inference(nnf_transformation,[],[f9]) ).
fof(f9,plain,
( ( e0 != op(e2,e1)
& e2 != op(e2,e1)
& e1 != op(e2,e1)
& e3 != op(e2,e1) )
| ~ sP0 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
fof(f1047,plain,
( spl24_4
| ~ spl24_14 ),
inference(avatar_split_clause,[],[f174,f321,f274]) ).
fof(f321,plain,
( spl24_14
<=> sP1 ),
introduced(avatar_definition,[new_symbols(naming,[spl24_14])]) ).
fof(f174,plain,
( ~ sP1
| e1 = op(e3,e3) ),
inference(cnf_transformation,[],[f56]) ).
fof(f56,plain,
( ( e1 = op(e1,e1)
& e1 = op(e0,e0)
& e1 = op(e3,e3)
& e1 = op(e2,e2) )
| ~ sP1 ),
inference(nnf_transformation,[],[f10]) ).
fof(f10,plain,
( ( e1 = op(e1,e1)
& e1 = op(e0,e0)
& e1 = op(e3,e3)
& e1 = op(e2,e2) )
| ~ sP1 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])]) ).
fof(f1046,plain,
( ~ spl24_49
| ~ spl24_7 ),
inference(avatar_split_clause,[],[f243,f288,f488]) ).
fof(f288,plain,
( spl24_7
<=> sP3 ),
introduced(avatar_definition,[new_symbols(naming,[spl24_7])]) ).
fof(f243,plain,
( ~ sP3
| unit != op(unit,unit) ),
inference(definition_unfolding,[],[f165,f74,f74,f74]) ).
fof(f165,plain,
( e0 != op(e0,e0)
| ~ sP3 ),
inference(cnf_transformation,[],[f54]) ).
fof(f54,plain,
( ( e3 != op(e0,e0)
& e2 != op(e0,e0)
& e1 != op(e0,e0)
& e0 != op(e0,e0) )
| ~ sP3 ),
inference(nnf_transformation,[],[f12]) ).
fof(f12,plain,
( ( e3 != op(e0,e0)
& e2 != op(e0,e0)
& e1 != op(e0,e0)
& e0 != op(e0,e0) )
| ~ sP3 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP3])]) ).
fof(f1045,plain,
( ~ spl24_32
| ~ spl24_53 ),
inference(avatar_split_clause,[],[f236,f504,f404]) ).
fof(f404,plain,
( spl24_32
<=> sP4 ),
introduced(avatar_definition,[new_symbols(naming,[spl24_32])]) ).
fof(f236,plain,
( e1 != op(e1,unit)
| ~ sP4 ),
inference(definition_unfolding,[],[f164,f74]) ).
fof(f164,plain,
( e1 != op(e1,e0)
| ~ sP4 ),
inference(cnf_transformation,[],[f53]) ).
fof(f53,plain,
( ( e1 != op(e1,e0)
& e3 != op(e1,e0)
& e0 != op(e1,e0)
& e2 != op(e1,e0) )
| ~ sP4 ),
inference(nnf_transformation,[],[f13]) ).
fof(f13,plain,
( ( e1 != op(e1,e0)
& e3 != op(e1,e0)
& e0 != op(e1,e0)
& e2 != op(e1,e0) )
| ~ sP4 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP4])]) ).
fof(f1039,plain,
( ~ spl24_3
| ~ spl24_23 ),
inference(avatar_split_clause,[],[f208,f362,f270]) ).
fof(f270,plain,
( spl24_3
<=> sP20 ),
introduced(avatar_definition,[new_symbols(naming,[spl24_3])]) ).
fof(f208,plain,
( op(e3,e3) != unit
| ~ sP20 ),
inference(definition_unfolding,[],[f97,f74]) ).
fof(f97,plain,
( e0 != op(e3,e3)
| ~ sP20 ),
inference(cnf_transformation,[],[f37]) ).
fof(f37,plain,
( ( e1 != op(e3,e3)
& e2 != op(e3,e3)
& e3 != op(e3,e3)
& e0 != op(e3,e3) )
| ~ sP20 ),
inference(nnf_transformation,[],[f29]) ).
fof(f29,plain,
( ( e1 != op(e3,e3)
& e2 != op(e3,e3)
& e3 != op(e3,e3)
& e0 != op(e3,e3) )
| ~ sP20 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP20])]) ).
fof(f1017,plain,
spl24_125,
inference(avatar_split_clause,[],[f187,f792]) ).
fof(f187,plain,
e3 = op(e3,unit),
inference(definition_unfolding,[],[f68,f74]) ).
fof(f68,plain,
e3 = op(e3,e0),
inference(cnf_transformation,[],[f2]) ).
fof(f1006,plain,
( ~ spl24_165
| ~ spl24_118 ),
inference(avatar_split_clause,[],[f126,f764,f1003]) ).
fof(f764,plain,
( spl24_118
<=> sP13 ),
introduced(avatar_definition,[new_symbols(naming,[spl24_118])]) ).
fof(f126,plain,
( ~ sP13
| e1 != op(e2,e3) ),
inference(cnf_transformation,[],[f44]) ).
fof(f44,plain,
( ( e3 != op(e2,e3)
& e0 != op(e2,e3)
& e1 != op(e2,e3)
& e2 != op(e2,e3) )
| ~ sP13 ),
inference(nnf_transformation,[],[f22]) ).
fof(f22,plain,
( ( e3 != op(e2,e3)
& e0 != op(e2,e3)
& e1 != op(e2,e3)
& e2 != op(e2,e3) )
| ~ sP13 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP13])]) ).
fof(f1001,plain,
spl24_49,
inference(avatar_split_clause,[],[f185,f488]) ).
fof(f185,plain,
unit = op(unit,unit),
inference(definition_unfolding,[],[f71,f74,f74,f74]) ).
fof(f71,plain,
e0 = op(e0,e0),
inference(cnf_transformation,[],[f2]) ).
fof(f977,plain,
spl24_48,
inference(avatar_split_clause,[],[f69,f483]) ).
fof(f69,plain,
e2 = op(e3,e1),
inference(cnf_transformation,[],[f2]) ).
fof(f970,plain,
spl24_30,
inference(avatar_split_clause,[],[f195,f394]) ).
fof(f195,plain,
unit = inv(unit),
inference(definition_unfolding,[],[f77,f74,f74]) ).
fof(f77,plain,
e0 = inv(e0),
inference(cnf_transformation,[],[f4]) ).
fof(f959,plain,
spl24_11,
inference(avatar_split_clause,[],[f72,f306]) ).
fof(f72,plain,
e2 = op(e1,e3),
inference(cnf_transformation,[],[f2]) ).
fof(f958,plain,
( ~ spl24_67
| ~ spl24_76 ),
inference(avatar_split_clause,[],[f205,f596,f560]) ).
fof(f560,plain,
( spl24_67
<=> sP21 ),
introduced(avatar_definition,[new_symbols(naming,[spl24_67])]) ).
fof(f205,plain,
( e1 != op(unit,e1)
| ~ sP21 ),
inference(definition_unfolding,[],[f95,f74]) ).
fof(f95,plain,
( e1 != op(e0,e1)
| ~ sP21 ),
inference(cnf_transformation,[],[f36]) ).
fof(f36,plain,
( ( e3 != op(e0,e1)
& e1 != op(e0,e1)
& e0 != op(e0,e1)
& e2 != op(e0,e1) )
| ~ sP21 ),
inference(nnf_transformation,[],[f30]) ).
fof(f30,plain,
( ( e3 != op(e0,e1)
& e1 != op(e0,e1)
& e0 != op(e0,e1)
& e2 != op(e0,e1) )
| ~ sP21 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP21])]) ).
fof(f957,plain,
( ~ spl24_8
| ~ spl24_157 ),
inference(avatar_split_clause,[],[f108,f954,f293]) ).
fof(f293,plain,
( spl24_8
<=> sP18 ),
introduced(avatar_definition,[new_symbols(naming,[spl24_8])]) ).
fof(f108,plain,
( e2 != inv(e1)
| ~ sP18 ),
inference(cnf_transformation,[],[f39]) ).
fof(f39,plain,
( ( e2 != inv(e1)
& e1 != inv(e1)
& e0 != inv(e1)
& e3 != inv(e1) )
| ~ sP18 ),
inference(nnf_transformation,[],[f27]) ).
fof(f27,plain,
( ( e2 != inv(e1)
& e1 != inv(e1)
& e0 != inv(e1)
& e3 != inv(e1) )
| ~ sP18 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP18])]) ).
fof(f947,plain,
spl24_144,
inference(avatar_split_clause,[],[f78,f884]) ).
fof(f78,plain,
e3 = inv(e3),
inference(cnf_transformation,[],[f4]) ).
fof(f919,plain,
spl24_135,
inference(avatar_split_clause,[],[f66,f835]) ).
fof(f66,plain,
e1 = op(e3,e2),
inference(cnf_transformation,[],[f2]) ).
fof(f888,plain,
( ~ spl24_128
| ~ spl24_105 ),
inference(avatar_split_clause,[],[f228,f712,f804]) ).
fof(f712,plain,
( spl24_105
<=> sP9 ),
introduced(avatar_definition,[new_symbols(naming,[spl24_105])]) ).
fof(f228,plain,
( ~ sP9
| e2 != op(unit,e2) ),
inference(definition_unfolding,[],[f141,f74]) ).
fof(f141,plain,
( e2 != op(e0,e2)
| ~ sP9 ),
inference(cnf_transformation,[],[f48]) ).
fof(f48,plain,
( ( e0 != op(e0,e2)
& e1 != op(e0,e2)
& e3 != op(e0,e2)
& e2 != op(e0,e2) )
| ~ sP9 ),
inference(nnf_transformation,[],[f18]) ).
fof(f18,plain,
( ( e0 != op(e0,e2)
& e1 != op(e0,e2)
& e3 != op(e0,e2)
& e2 != op(e0,e2) )
| ~ sP9 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP9])]) ).
fof(f887,plain,
( ~ spl24_144
| ~ spl24_56 ),
inference(avatar_split_clause,[],[f122,f516,f884]) ).
fof(f516,plain,
( spl24_56
<=> sP14 ),
introduced(avatar_definition,[new_symbols(naming,[spl24_56])]) ).
fof(f122,plain,
( ~ sP14
| e3 != inv(e3) ),
inference(cnf_transformation,[],[f43]) ).
fof(f43,plain,
( ( e2 != inv(e3)
& e1 != inv(e3)
& e3 != inv(e3)
& e0 != inv(e3) )
| ~ sP14 ),
inference(nnf_transformation,[],[f23]) ).
fof(f23,plain,
( ( e2 != inv(e3)
& e1 != inv(e3)
& e3 != inv(e3)
& e0 != inv(e3) )
| ~ sP14 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP14])]) ).
fof(f882,plain,
( ~ spl24_125
| ~ spl24_102 ),
inference(avatar_split_clause,[],[f201,f700,f792]) ).
fof(f700,plain,
( spl24_102
<=> sP23 ),
introduced(avatar_definition,[new_symbols(naming,[spl24_102])]) ).
fof(f201,plain,
( ~ sP23
| e3 != op(e3,unit) ),
inference(definition_unfolding,[],[f86,f74]) ).
fof(f86,plain,
( e3 != op(e3,e0)
| ~ sP23 ),
inference(cnf_transformation,[],[f34]) ).
fof(f34,plain,
( ( e0 != op(e3,e0)
& e1 != op(e3,e0)
& e3 != op(e3,e0)
& e2 != op(e3,e0) )
| ~ sP23 ),
inference(nnf_transformation,[],[f32]) ).
fof(f32,plain,
( ( e0 != op(e3,e0)
& e1 != op(e3,e0)
& e3 != op(e3,e0)
& e2 != op(e3,e0) )
| ~ sP23 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP23])]) ).
fof(f881,plain,
spl24_128,
inference(avatar_split_clause,[],[f193,f804]) ).
fof(f193,plain,
e2 = op(unit,e2),
inference(definition_unfolding,[],[f59,f74]) ).
fof(f59,plain,
e2 = op(e0,e2),
inference(cnf_transformation,[],[f2]) ).
fof(f870,plain,
( ~ spl24_31
| spl24_139 ),
inference(avatar_split_clause,[],[f119,f856,f399]) ).
fof(f399,plain,
( spl24_31
<=> sP15 ),
introduced(avatar_definition,[new_symbols(naming,[spl24_31])]) ).
fof(f119,plain,
( e2 = op(e3,e3)
| ~ sP15 ),
inference(cnf_transformation,[],[f42]) ).
fof(f42,plain,
( ( e2 = op(e1,e1)
& e2 = op(e3,e3)
& e2 = op(e2,e2)
& e2 = op(e0,e0) )
| ~ sP15 ),
inference(nnf_transformation,[],[f24]) ).
fof(f24,plain,
( ( e2 = op(e1,e1)
& e2 = op(e3,e3)
& e2 = op(e2,e2)
& e2 = op(e0,e0) )
| ~ sP15 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP15])]) ).
fof(f849,plain,
spl24_42,
inference(avatar_split_clause,[],[f191,f455]) ).
fof(f191,plain,
e3 = op(unit,e3),
inference(definition_unfolding,[],[f63,f74]) ).
fof(f63,plain,
e3 = op(e0,e3),
inference(cnf_transformation,[],[f2]) ).
fof(f838,plain,
( ~ spl24_91
| ~ spl24_63
| spl24_21
| ~ spl24_96
| ~ spl24_89
| ~ spl24_71
| ~ spl24_124
| spl24_39
| ~ spl24_113
| spl24_32
| spl24_17
| ~ spl24_126
| ~ spl24_42
| spl24_10
| ~ spl24_82
| spl24_5
| ~ spl24_120
| ~ spl24_86
| spl24_29
| ~ spl24_110
| ~ spl24_62
| ~ spl24_66
| ~ spl24_114
| ~ spl24_131
| ~ spl24_83
| spl24_118
| ~ spl24_109
| ~ spl24_97
| ~ spl24_68
| spl24_56
| spl24_105
| ~ spl24_111
| spl24_8
| ~ spl24_122
| ~ spl24_84
| ~ spl24_80
| ~ spl24_88
| ~ spl24_87
| ~ spl24_106
| ~ spl24_74
| ~ spl24_53
| ~ spl24_108
| ~ spl24_133
| ~ spl24_64
| spl24_14
| spl24_31
| ~ spl24_93
| ~ spl24_112
| spl24_43
| spl24_7
| ~ spl24_54
| ~ spl24_117
| ~ spl24_101
| ~ spl24_127
| spl24_28
| ~ spl24_107
| spl24_2
| ~ spl24_59
| ~ spl24_95
| spl24_67
| ~ spl24_94
| spl24_102
| ~ spl24_128
| spl24_3
| ~ spl24_72
| ~ spl24_60
| ~ spl24_90
| ~ spl24_50
| ~ spl24_85
| ~ spl24_116
| ~ spl24_132
| ~ spl24_57
| ~ spl24_81
| ~ spl24_129
| ~ spl24_99
| ~ spl24_79
| ~ spl24_121
| ~ spl24_58
| ~ spl24_103
| ~ spl24_77
| ~ spl24_52
| spl24_19
| ~ spl24_70
| ~ spl24_130
| ~ spl24_75
| ~ spl24_49
| ~ spl24_76
| ~ spl24_55
| ~ spl24_98
| ~ spl24_78
| ~ spl24_61
| spl24_24
| ~ spl24_73
| ~ spl24_135
| spl24_65
| ~ spl24_51
| ~ spl24_104
| ~ spl24_123
| ~ spl24_125
| ~ spl24_100
| ~ spl24_92
| ~ spl24_115
| spl24_44
| ~ spl24_69 ),
inference(avatar_split_clause,[],[f257,f568,f464,f752,f660,f692,f792,f784,f708,f496,f552,f835,f584,f367,f536,f604,f684,f512,f596,f488,f592,f812,f572,f344,f500,f600,f704,f524,f776,f608,f688,f808,f616,f520,f820,f756,f632,f492,f652,f532,f580,f270,f804,f700,f668,f560,f672,f528,f264,f720,f385,f800,f696,f760,f508,f288,f459,f740,f664,f399,f321,f548,f824,f724,f504,f588,f716,f640,f644,f612,f628,f780,f293,f736,f712,f516,f564,f680,f728,f764,f624,f816,f748,f556,f540,f732,f390,f636,f772,f279,f620,f302,f455,f796,f334,f404,f744,f438,f788,f576,f648,f676,f353,f544,f656]) ).
fof(f353,plain,
( spl24_21
<=> sP11 ),
introduced(avatar_definition,[new_symbols(naming,[spl24_21])]) ).
fof(f302,plain,
( spl24_10
<=> sP5 ),
introduced(avatar_definition,[new_symbols(naming,[spl24_10])]) ).
fof(f279,plain,
( spl24_5
<=> sP19 ),
introduced(avatar_definition,[new_symbols(naming,[spl24_5])]) ).
fof(f390,plain,
( spl24_29
<=> sP2 ),
introduced(avatar_definition,[new_symbols(naming,[spl24_29])]) ).
fof(f459,plain,
( spl24_43
<=> sP6 ),
introduced(avatar_definition,[new_symbols(naming,[spl24_43])]) ).
fof(f385,plain,
( spl24_28
<=> sP7 ),
introduced(avatar_definition,[new_symbols(naming,[spl24_28])]) ).
fof(f264,plain,
( spl24_2
<=> sP12 ),
introduced(avatar_definition,[new_symbols(naming,[spl24_2])]) ).
fof(f344,plain,
( spl24_19
<=> sP16 ),
introduced(avatar_definition,[new_symbols(naming,[spl24_19])]) ).
fof(f367,plain,
( spl24_24
<=> sP17 ),
introduced(avatar_definition,[new_symbols(naming,[spl24_24])]) ).
fof(f257,plain,
( op(e1,op(unit,e1)) != op(op(e1,unit),e1)
| sP10
| op(unit,op(e3,e2)) != op(op(unit,e3),e2)
| unit != op(unit,inv(unit))
| op(op(e2,unit),e1) != op(e2,op(unit,e1))
| e3 != op(e3,unit)
| op(op(e2,e2),e1) != op(e2,op(e2,e1))
| op(op(e1,unit),unit) != op(e1,op(unit,unit))
| op(op(unit,e1),e3) != op(unit,op(e1,e3))
| sP22
| e1 != op(e3,e2)
| op(op(e1,e2),e1) != op(e1,op(e2,e1))
| sP17
| op(op(e3,e3),e2) != op(e3,op(e3,e2))
| op(op(e1,e1),e2) != op(e1,op(e1,e2))
| unit != op(e1,inv(e1))
| op(op(e2,e1),e3) != op(e2,op(e1,e3))
| e1 != op(unit,e1)
| unit != op(unit,unit)
| unit != op(inv(unit),unit)
| op(unit,op(e3,unit)) != op(op(unit,e3),unit)
| e2 != op(e2,unit)
| sP16
| op(op(e1,e2),e3) != op(e1,op(e2,e3))
| op(unit,op(e3,e1)) != op(op(unit,e3),e1)
| op(op(e3,e3),unit) != op(e3,op(e3,unit))
| op(op(e3,unit),e3) != op(e3,op(unit,e3))
| op(op(e1,e1),unit) != op(e1,op(e1,unit))
| op(e2,op(unit,e3)) != op(op(e2,unit),e3)
| op(op(e2,e2),e2) != op(e2,op(e2,e2))
| unit != op(inv(e1),e1)
| op(e2,op(e2,unit)) != op(op(e2,e2),unit)
| op(unit,op(e2,e2)) != op(op(unit,e2),e2)
| op(op(e3,e2),e2) != op(e3,op(e2,e2))
| op(op(unit,e1),unit) != op(unit,op(e1,unit))
| op(e3,op(e1,unit)) != op(op(e3,e1),unit)
| op(op(e3,e2),unit) != op(e3,op(e2,unit))
| op(op(e1,e3),e1) != op(e1,op(e3,e1))
| op(op(e3,unit),e2) != op(e3,op(unit,e2))
| op(e3,op(unit,unit)) != op(op(e3,unit),unit)
| sP20
| e2 != op(unit,e2)
| sP23
| op(unit,op(e2,e3)) != op(op(unit,e2),e3)
| sP21
| op(op(e1,e1),e1) != op(e1,op(e1,e1))
| unit != op(e3,inv(e3))
| sP12
| unit != op(e2,inv(e2))
| sP7
| op(op(e3,e2),e3) != op(e3,op(e2,e3))
| op(op(e3,e1),e2) != op(e3,op(e1,e2))
| op(op(e2,e1),e1) != op(e2,op(e1,e1))
| op(e1,op(unit,e2)) != op(op(e1,unit),e2)
| sP3
| sP6
| op(op(e3,e1),e1) != op(e3,op(e1,e1))
| op(op(unit,unit),e3) != op(unit,op(unit,e3))
| sP15
| sP1
| op(op(e2,e1),e2) != op(e2,op(e1,e2))
| op(op(e1,unit),e3) != op(e1,op(unit,e3))
| op(op(e3,e1),e3) != op(e3,op(e1,e3))
| e1 != op(e1,unit)
| op(e2,op(e1,unit)) != op(op(e2,e1),unit)
| op(unit,op(e3,e3)) != op(op(unit,e3),e3)
| op(op(e1,e3),e2) != op(e1,op(e3,e2))
| op(e2,op(unit,unit)) != op(op(e2,unit),unit)
| op(op(e1,e3),e3) != op(e1,op(e3,e3))
| op(op(e3,e3),e3) != op(e3,op(e3,e3))
| op(op(e2,e3),e3) != op(e2,op(e3,e3))
| sP18
| unit != op(inv(e2),e2)
| sP9
| sP14
| op(op(e2,e3),e2) != op(e2,op(e3,e2))
| op(op(unit,e1),e1) != op(unit,op(e1,e1))
| op(op(unit,unit),unit) != op(unit,op(unit,unit))
| sP13
| op(op(e2,e3),e1) != op(e2,op(e3,e1))
| unit != op(inv(e3),e3)
| op(unit,op(e2,unit)) != op(op(unit,e2),unit)
| op(op(unit,e1),e2) != op(unit,op(e1,e2))
| op(e2,op(unit,e2)) != op(op(e2,unit),e2)
| op(op(e2,e2),e3) != op(e2,op(e2,e3))
| sP2
| op(e2,op(e3,unit)) != op(op(e2,e3),unit)
| op(unit,op(unit,e1)) != op(op(unit,unit),e1)
| sP19
| op(op(e3,unit),e1) != op(e3,op(unit,e1))
| sP5
| e3 != op(unit,e3)
| op(op(e1,e2),e2) != op(e1,op(e2,e2))
| sP0
| sP4
| op(e1,op(e3,unit)) != op(op(e1,e3),unit)
| sP8
| op(op(e1,e1),e3) != op(e1,op(e1,e3))
| op(op(unit,unit),e2) != op(unit,op(unit,e2))
| op(op(e1,e2),unit) != op(e1,op(e2,unit))
| op(op(unit,e2),e1) != op(unit,op(e2,e1))
| sP11
| op(op(e3,e3),e1) != op(e3,op(e3,e1))
| op(op(e3,e2),e1) != op(e3,op(e2,e1)) ),
inference(duplicate_literal_removal,[],[f252]) ).
fof(f252,plain,
( unit != op(unit,unit)
| sP22
| op(op(e3,unit),e1) != op(e3,op(unit,e1))
| op(unit,op(e3,e2)) != op(op(unit,e3),e2)
| op(op(unit,e2),e1) != op(unit,op(e2,e1))
| op(e2,op(unit,unit)) != op(op(e2,unit),unit)
| sP7
| op(op(e3,e3),e3) != op(e3,op(e3,e3))
| sP6
| unit != op(inv(e1),e1)
| op(op(e1,e3),e2) != op(e1,op(e3,e2))
| op(op(e1,unit),e3) != op(e1,op(unit,e3))
| sP12
| op(op(unit,e1),e1) != op(unit,op(e1,e1))
| e3 != op(unit,e3)
| op(unit,op(e2,e2)) != op(op(unit,e2),e2)
| op(op(e3,unit),e2) != op(e3,op(unit,e2))
| unit != op(e1,inv(e1))
| op(op(e3,e2),e2) != op(e3,op(e2,e2))
| op(op(e1,e1),e1) != op(e1,op(e1,e1))
| op(unit,op(e2,e3)) != op(op(unit,e2),e3)
| op(op(e2,unit),e1) != op(e2,op(unit,e1))
| sP1
| sP13
| sP18
| op(op(e3,e1),e2) != op(e3,op(e1,e2))
| op(op(e3,e3),e1) != op(e3,op(e3,e1))
| op(unit,op(e3,e3)) != op(op(unit,e3),e3)
| e2 != op(e2,unit)
| op(e1,op(e3,unit)) != op(op(e1,e3),unit)
| op(e1,op(unit,e1)) != op(op(e1,unit),e1)
| sP16
| op(op(e1,e3),e1) != op(e1,op(e3,e1))
| op(e2,op(e2,unit)) != op(op(e2,e2),unit)
| op(op(e1,e2),e2) != op(e1,op(e2,e2))
| sP10
| op(e2,op(unit,e2)) != op(op(e2,unit),e2)
| e1 != op(e3,e2)
| op(e2,op(e3,unit)) != op(op(e2,e3),unit)
| op(op(e2,e1),e3) != op(e2,op(e1,e3))
| unit != op(e2,inv(e2))
| op(op(e2,e2),e1) != op(e2,op(e2,e1))
| op(op(e1,e1),e2) != op(e1,op(e1,e2))
| sP8
| sP9
| op(op(e3,e1),e1) != op(e3,op(e1,e1))
| op(op(e1,e1),unit) != op(e1,op(e1,unit))
| op(op(e3,e2),e1) != op(e3,op(e2,e1))
| unit != op(unit,inv(unit))
| e3 != op(e3,unit)
| e1 != op(e1,unit)
| unit != op(unit,unit)
| op(op(e2,e1),e2) != op(e2,op(e1,e2))
| op(op(e3,e2),unit) != op(e3,op(e2,unit))
| sP5
| sP17
| sP14
| op(unit,op(e3,unit)) != op(op(unit,e3),unit)
| op(op(e1,unit),unit) != op(e1,op(unit,unit))
| e1 != op(unit,e1)
| op(op(unit,unit),e2) != op(unit,op(unit,e2))
| op(op(unit,e1),e3) != op(unit,op(e1,e3))
| op(e2,op(e1,unit)) != op(op(e2,e1),unit)
| unit != op(inv(unit),unit)
| unit != op(e3,inv(e3))
| sP15
| op(op(e1,e3),e3) != op(e1,op(e3,e3))
| op(op(e3,e3),e2) != op(e3,op(e3,e2))
| sP4
| sP2
| unit != op(inv(e2),e2)
| op(e3,op(unit,unit)) != op(op(e3,unit),unit)
| sP21
| sP19
| op(op(unit,e1),e2) != op(unit,op(e1,e2))
| op(unit,op(unit,e1)) != op(op(unit,unit),e1)
| unit != op(inv(e3),e3)
| sP0
| sP20
| op(op(e2,e2),e3) != op(e2,op(e2,e3))
| op(op(e1,e1),e3) != op(e1,op(e1,e3))
| op(op(e2,e3),e3) != op(e2,op(e3,e3))
| op(op(e3,e2),e3) != op(e3,op(e2,e3))
| op(e1,op(unit,e2)) != op(op(e1,unit),e2)
| op(op(e2,e3),e2) != op(e2,op(e3,e2))
| op(e3,op(e1,unit)) != op(op(e3,e1),unit)
| op(op(e2,e3),e1) != op(e2,op(e3,e1))
| op(op(e3,e1),e3) != op(e3,op(e1,e3))
| sP3
| sP23
| sP11
| op(op(e2,e2),e2) != op(e2,op(e2,e2))
| op(unit,op(e2,unit)) != op(op(unit,e2),unit)
| e2 != op(unit,e2)
| op(op(unit,e1),unit) != op(unit,op(e1,unit))
| op(op(e3,e3),unit) != op(e3,op(e3,unit))
| op(op(e1,e2),e1) != op(e1,op(e2,e1))
| op(op(e2,e1),e1) != op(e2,op(e1,e1))
| op(op(e1,e2),unit) != op(e1,op(e2,unit))
| op(op(e3,unit),e3) != op(e3,op(unit,e3))
| op(unit,op(e3,e1)) != op(op(unit,e3),e1)
| op(op(unit,unit),e3) != op(unit,op(unit,e3))
| op(op(e1,e2),e3) != op(e1,op(e2,e3))
| op(e2,op(unit,e3)) != op(op(e2,unit),e3)
| op(op(unit,unit),unit) != op(unit,op(unit,unit)) ),
inference(definition_unfolding,[],[f182,f74,f74,f74,f74,f74,f74,f74,f74,f74,f74,f74,f74,f74,f74,f74,f74,f74,f74,f74,f74,f74,f74,f74,f74,f74,f74,f74,f74,f74,f74,f74,f74,f74,f74,f74,f74,f74,f74,f74,f74,f74,f74,f74,f74,f74,f74,f74,f74,f74,f74,f74,f74,f74,f74,f74,f74,f74,f74,f74,f74,f74,f74,f74,f74,f74,f74,f74,f74,f74,f74,f74,f74,f74,f74,f74,f74,f74,f74,f74,f74,f74,f74,f74,f74,f74,f74,f74,f74,f74,f74,f74,f74,f74,f74,f74,f74,f74,f74,f74,f74,f74,f74,f74,f74]) ).
fof(f182,plain,
( op(op(e0,e2),e3) != op(e0,op(e2,e3))
| op(op(e3,e1),e3) != op(e3,op(e1,e3))
| unit != op(e3,inv(e3))
| op(op(e3,e3),e0) != op(e3,op(e3,e0))
| e1 != op(e3,e2)
| sP23
| sP22
| op(op(e2,e0),e0) != op(e2,op(e0,e0))
| op(op(e1,e2),e1) != op(e1,op(e2,e1))
| unit != op(inv(e2),e2)
| op(op(e1,e0),e1) != op(e1,op(e0,e1))
| e1 != op(e1,unit)
| op(op(e0,e1),e3) != op(e0,op(e1,e3))
| op(op(e2,e1),e1) != op(e2,op(e1,e1))
| sP21
| op(op(e2,e3),e0) != op(e2,op(e3,e0))
| unit != op(inv(e0),e0)
| sP20
| unit != op(e1,inv(e1))
| op(op(e1,e3),e3) != op(e1,op(e3,e3))
| sP19
| sP18
| op(op(e2,e1),e3) != op(e2,op(e1,e3))
| op(op(e1,e2),e2) != op(e1,op(e2,e2))
| sP17
| op(op(e2,e3),e3) != op(e2,op(e3,e3))
| op(op(e1,e0),e0) != op(e1,op(e0,e0))
| sP16
| sP15
| op(op(e2,e0),e1) != op(e2,op(e0,e1))
| unit != op(inv(e3),e3)
| e1 != op(unit,e1)
| op(op(e0,e3),e3) != op(e0,op(e3,e3))
| sP14
| sP13
| op(op(e2,e3),e2) != op(e2,op(e3,e2))
| op(op(e2,e2),e1) != op(e2,op(e2,e1))
| op(op(e1,e2),e3) != op(e1,op(e2,e3))
| op(op(e1,e0),e3) != op(e1,op(e0,e3))
| sP12
| e2 != op(e2,unit)
| op(op(e1,e3),e0) != op(e1,op(e3,e0))
| sP11
| sP10
| op(op(e3,e0),e0) != op(e3,op(e0,e0))
| e3 != op(unit,e3)
| op(op(e3,e2),e0) != op(e3,op(e2,e0))
| sP9
| op(op(e2,e0),e3) != op(e2,op(e0,e3))
| sP8
| sP7
| sP6
| op(op(e1,e0),e2) != op(e1,op(e0,e2))
| sP5
| op(op(e2,e1),e2) != op(e2,op(e1,e2))
| unit != op(e0,inv(e0))
| op(op(e0,e2),e0) != op(e0,op(e2,e0))
| op(op(e1,e1),e1) != op(e1,op(e1,e1))
| op(op(e0,e1),e0) != op(e0,op(e1,e0))
| op(op(e0,e3),e2) != op(e0,op(e3,e2))
| sP4
| op(op(e1,e1),e0) != op(e1,op(e1,e0))
| unit != op(inv(e1),e1)
| op(op(e1,e1),e3) != op(e1,op(e1,e3))
| op(op(e3,e0),e1) != op(e3,op(e0,e1))
| op(op(e0,e0),e3) != op(e0,op(e0,e3))
| op(op(e3,e1),e0) != op(e3,op(e1,e0))
| op(op(e3,e3),e3) != op(e3,op(e3,e3))
| op(op(e2,e0),e2) != op(e2,op(e0,e2))
| op(op(e0,e0),e2) != op(e0,op(e0,e2))
| sP3
| sP2
| op(op(e3,e1),e2) != op(e3,op(e1,e2))
| op(op(e2,e2),e3) != op(e2,op(e2,e3))
| op(op(e0,e1),e1) != op(e0,op(e1,e1))
| op(op(e3,e3),e2) != op(e3,op(e3,e2))
| op(op(e3,e0),e3) != op(e3,op(e0,e3))
| e0 != op(unit,e0)
| op(op(e3,e2),e1) != op(e3,op(e2,e1))
| op(op(e0,e1),e2) != op(e0,op(e1,e2))
| e2 != op(unit,e2)
| unit != op(e2,inv(e2))
| op(op(e2,e2),e0) != op(e2,op(e2,e0))
| op(op(e0,e3),e0) != op(e0,op(e3,e0))
| op(op(e2,e3),e1) != op(e2,op(e3,e1))
| op(op(e0,e2),e2) != op(e0,op(e2,e2))
| e3 != op(e3,unit)
| op(op(e1,e3),e2) != op(e1,op(e3,e2))
| op(op(e1,e1),e2) != op(e1,op(e1,e2))
| op(op(e0,e0),e1) != op(e0,op(e0,e1))
| op(op(e1,e3),e1) != op(e1,op(e3,e1))
| op(op(e2,e1),e0) != op(e2,op(e1,e0))
| op(op(e3,e0),e2) != op(e3,op(e0,e2))
| op(op(e3,e1),e1) != op(e3,op(e1,e1))
| op(op(e0,e2),e1) != op(e0,op(e2,e1))
| op(op(e2,e2),e2) != op(e2,op(e2,e2))
| op(op(e1,e2),e0) != op(e1,op(e2,e0))
| sP1
| op(op(e0,e3),e1) != op(e0,op(e3,e1))
| op(op(e3,e2),e3) != op(e3,op(e2,e3))
| op(op(e0,e0),e0) != op(e0,op(e0,e0))
| sP0
| op(op(e3,e2),e2) != op(e3,op(e2,e2))
| op(op(e3,e3),e1) != op(e3,op(e3,e1))
| e0 != op(e0,unit) ),
inference(cnf_transformation,[],[f33]) ).
fof(f33,plain,
( op(op(e0,e2),e3) != op(e0,op(e2,e3))
| op(op(e3,e1),e3) != op(e3,op(e1,e3))
| unit != op(e3,inv(e3))
| op(op(e3,e3),e0) != op(e3,op(e3,e0))
| ( e3 != op(e3,e2)
& e0 != op(e3,e2)
& e1 != op(e3,e2)
& e2 != op(e3,e2) )
| sP23
| sP22
| op(op(e2,e0),e0) != op(e2,op(e0,e0))
| op(op(e1,e2),e1) != op(e1,op(e2,e1))
| unit != op(inv(e2),e2)
| op(op(e1,e0),e1) != op(e1,op(e0,e1))
| e1 != op(e1,unit)
| op(op(e0,e1),e3) != op(e0,op(e1,e3))
| op(op(e2,e1),e1) != op(e2,op(e1,e1))
| sP21
| op(op(e2,e3),e0) != op(e2,op(e3,e0))
| unit != op(inv(e0),e0)
| sP20
| unit != op(e1,inv(e1))
| op(op(e1,e3),e3) != op(e1,op(e3,e3))
| sP19
| sP18
| op(op(e2,e1),e3) != op(e2,op(e1,e3))
| op(op(e1,e2),e2) != op(e1,op(e2,e2))
| sP17
| op(op(e2,e3),e3) != op(e2,op(e3,e3))
| op(op(e1,e0),e0) != op(e1,op(e0,e0))
| sP16
| sP15
| op(op(e2,e0),e1) != op(e2,op(e0,e1))
| unit != op(inv(e3),e3)
| e1 != op(unit,e1)
| op(op(e0,e3),e3) != op(e0,op(e3,e3))
| sP14
| sP13
| op(op(e2,e3),e2) != op(e2,op(e3,e2))
| op(op(e2,e2),e1) != op(e2,op(e2,e1))
| op(op(e1,e2),e3) != op(e1,op(e2,e3))
| op(op(e1,e0),e3) != op(e1,op(e0,e3))
| sP12
| e2 != op(e2,unit)
| op(op(e1,e3),e0) != op(e1,op(e3,e0))
| sP11
| sP10
| op(op(e3,e0),e0) != op(e3,op(e0,e0))
| e3 != op(unit,e3)
| op(op(e3,e2),e0) != op(e3,op(e2,e0))
| sP9
| op(op(e2,e0),e3) != op(e2,op(e0,e3))
| sP8
| sP7
| sP6
| op(op(e1,e0),e2) != op(e1,op(e0,e2))
| sP5
| op(op(e2,e1),e2) != op(e2,op(e1,e2))
| unit != op(e0,inv(e0))
| op(op(e0,e2),e0) != op(e0,op(e2,e0))
| op(op(e1,e1),e1) != op(e1,op(e1,e1))
| op(op(e0,e1),e0) != op(e0,op(e1,e0))
| op(op(e0,e3),e2) != op(e0,op(e3,e2))
| sP4
| op(op(e1,e1),e0) != op(e1,op(e1,e0))
| unit != op(inv(e1),e1)
| op(op(e1,e1),e3) != op(e1,op(e1,e3))
| op(op(e3,e0),e1) != op(e3,op(e0,e1))
| op(op(e0,e0),e3) != op(e0,op(e0,e3))
| op(op(e3,e1),e0) != op(e3,op(e1,e0))
| op(op(e3,e3),e3) != op(e3,op(e3,e3))
| op(op(e2,e0),e2) != op(e2,op(e0,e2))
| op(op(e0,e0),e2) != op(e0,op(e0,e2))
| sP3
| sP2
| op(op(e3,e1),e2) != op(e3,op(e1,e2))
| op(op(e2,e2),e3) != op(e2,op(e2,e3))
| op(op(e0,e1),e1) != op(e0,op(e1,e1))
| op(op(e3,e3),e2) != op(e3,op(e3,e2))
| op(op(e3,e0),e3) != op(e3,op(e0,e3))
| e0 != op(unit,e0)
| op(op(e3,e2),e1) != op(e3,op(e2,e1))
| op(op(e0,e1),e2) != op(e0,op(e1,e2))
| e2 != op(unit,e2)
| unit != op(e2,inv(e2))
| op(op(e2,e2),e0) != op(e2,op(e2,e0))
| op(op(e0,e3),e0) != op(e0,op(e3,e0))
| op(op(e2,e3),e1) != op(e2,op(e3,e1))
| op(op(e0,e2),e2) != op(e0,op(e2,e2))
| e3 != op(e3,unit)
| op(op(e1,e3),e2) != op(e1,op(e3,e2))
| op(op(e1,e1),e2) != op(e1,op(e1,e2))
| op(op(e0,e0),e1) != op(e0,op(e0,e1))
| op(op(e1,e3),e1) != op(e1,op(e3,e1))
| op(op(e2,e1),e0) != op(e2,op(e1,e0))
| op(op(e3,e0),e2) != op(e3,op(e0,e2))
| op(op(e3,e1),e1) != op(e3,op(e1,e1))
| op(op(e0,e2),e1) != op(e0,op(e2,e1))
| op(op(e2,e2),e2) != op(e2,op(e2,e2))
| op(op(e1,e2),e0) != op(e1,op(e2,e0))
| sP1
| op(op(e0,e3),e1) != op(e0,op(e3,e1))
| op(op(e3,e2),e3) != op(e3,op(e2,e3))
| op(op(e0,e0),e0) != op(e0,op(e0,e0))
| sP0
| op(op(e3,e2),e2) != op(e3,op(e2,e2))
| op(op(e3,e3),e1) != op(e3,op(e3,e1))
| e0 != op(e0,unit) ),
inference(definition_folding,[],[f8,f32,f31,f30,f29,f28,f27,f26,f25,f24,f23,f22,f21,f20,f19,f18,f17,f16,f15,f14,f13,f12,f11,f10,f9]) ).
fof(f11,plain,
( ( e0 != inv(e0)
& e3 != inv(e0)
& e1 != inv(e0)
& e2 != inv(e0) )
| ~ sP2 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP2])]) ).
fof(f14,plain,
( ( e0 != op(e1,e3)
& e2 != op(e1,e3)
& e3 != op(e1,e3)
& e1 != op(e1,e3) )
| ~ sP5 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP5])]) ).
fof(f15,plain,
( ( e3 != op(e0,e3)
& e1 != op(e0,e3)
& e2 != op(e0,e3)
& e0 != op(e0,e3) )
| ~ sP6 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP6])]) ).
fof(f16,plain,
( ( e0 != op(e3,e1)
& e3 != op(e3,e1)
& e1 != op(e3,e1)
& e2 != op(e3,e1) )
| ~ sP7 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP7])]) ).
fof(f20,plain,
( ( e2 != inv(e2)
& e3 != inv(e2)
& e0 != inv(e2)
& e1 != inv(e2) )
| ~ sP11 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP11])]) ).
fof(f21,plain,
( ( e3 = op(e0,e0)
& e3 = op(e3,e3)
& e3 = op(e1,e1)
& e3 = op(e2,e2) )
| ~ sP12 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP12])]) ).
fof(f25,plain,
( ( e0 = op(e3,e3)
& e0 = op(e1,e1)
& e0 = op(e2,e2)
& e0 = op(e0,e0) )
| ~ sP16 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP16])]) ).
fof(f26,plain,
( ( e1 != op(e1,e1)
& e0 != op(e1,e1)
& e2 != op(e1,e1)
& e3 != op(e1,e1) )
| ~ sP17 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP17])]) ).
fof(f28,plain,
( ( e1 != op(e2,e2)
& e2 != op(e2,e2)
& e3 != op(e2,e2)
& e0 != op(e2,e2) )
| ~ sP19 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP19])]) ).
fof(f8,plain,
( op(op(e0,e2),e3) != op(e0,op(e2,e3))
| op(op(e3,e1),e3) != op(e3,op(e1,e3))
| unit != op(e3,inv(e3))
| op(op(e3,e3),e0) != op(e3,op(e3,e0))
| ( e3 != op(e3,e2)
& e0 != op(e3,e2)
& e1 != op(e3,e2)
& e2 != op(e3,e2) )
| ( e0 != op(e3,e0)
& e1 != op(e3,e0)
& e3 != op(e3,e0)
& e2 != op(e3,e0) )
| ( e1 != unit
& e0 != unit
& e3 != unit
& e2 != unit )
| op(op(e2,e0),e0) != op(e2,op(e0,e0))
| op(op(e1,e2),e1) != op(e1,op(e2,e1))
| unit != op(inv(e2),e2)
| op(op(e1,e0),e1) != op(e1,op(e0,e1))
| e1 != op(e1,unit)
| op(op(e0,e1),e3) != op(e0,op(e1,e3))
| op(op(e2,e1),e1) != op(e2,op(e1,e1))
| ( e3 != op(e0,e1)
& e1 != op(e0,e1)
& e0 != op(e0,e1)
& e2 != op(e0,e1) )
| op(op(e2,e3),e0) != op(e2,op(e3,e0))
| unit != op(inv(e0),e0)
| ( e1 != op(e3,e3)
& e2 != op(e3,e3)
& e3 != op(e3,e3)
& e0 != op(e3,e3) )
| unit != op(e1,inv(e1))
| op(op(e1,e3),e3) != op(e1,op(e3,e3))
| ( e1 != op(e2,e2)
& e2 != op(e2,e2)
& e3 != op(e2,e2)
& e0 != op(e2,e2) )
| ( e2 != inv(e1)
& e1 != inv(e1)
& e0 != inv(e1)
& e3 != inv(e1) )
| op(op(e2,e1),e3) != op(e2,op(e1,e3))
| op(op(e1,e2),e2) != op(e1,op(e2,e2))
| ( e1 != op(e1,e1)
& e0 != op(e1,e1)
& e2 != op(e1,e1)
& e3 != op(e1,e1) )
| op(op(e2,e3),e3) != op(e2,op(e3,e3))
| op(op(e1,e0),e0) != op(e1,op(e0,e0))
| ( e0 = op(e3,e3)
& e0 = op(e1,e1)
& e0 = op(e2,e2)
& e0 = op(e0,e0) )
| ( e2 = op(e1,e1)
& e2 = op(e3,e3)
& e2 = op(e2,e2)
& e2 = op(e0,e0) )
| op(op(e2,e0),e1) != op(e2,op(e0,e1))
| unit != op(inv(e3),e3)
| e1 != op(unit,e1)
| op(op(e0,e3),e3) != op(e0,op(e3,e3))
| ( e2 != inv(e3)
& e1 != inv(e3)
& e3 != inv(e3)
& e0 != inv(e3) )
| ( e3 != op(e2,e3)
& e0 != op(e2,e3)
& e1 != op(e2,e3)
& e2 != op(e2,e3) )
| op(op(e2,e3),e2) != op(e2,op(e3,e2))
| op(op(e2,e2),e1) != op(e2,op(e2,e1))
| op(op(e1,e2),e3) != op(e1,op(e2,e3))
| op(op(e1,e0),e3) != op(e1,op(e0,e3))
| ( e3 = op(e0,e0)
& e3 = op(e3,e3)
& e3 = op(e1,e1)
& e3 = op(e2,e2) )
| e2 != op(e2,unit)
| op(op(e1,e3),e0) != op(e1,op(e3,e0))
| ( e2 != inv(e2)
& e3 != inv(e2)
& e0 != inv(e2)
& e1 != inv(e2) )
| ( e2 != op(e2,e0)
& e0 != op(e2,e0)
& e1 != op(e2,e0)
& e3 != op(e2,e0) )
| op(op(e3,e0),e0) != op(e3,op(e0,e0))
| e3 != op(unit,e3)
| op(op(e3,e2),e0) != op(e3,op(e2,e0))
| ( e0 != op(e0,e2)
& e1 != op(e0,e2)
& e3 != op(e0,e2)
& e2 != op(e0,e2) )
| op(op(e2,e0),e3) != op(e2,op(e0,e3))
| ( e2 != op(e1,e2)
& e0 != op(e1,e2)
& e1 != op(e1,e2)
& e3 != op(e1,e2) )
| ( e0 != op(e3,e1)
& e3 != op(e3,e1)
& e1 != op(e3,e1)
& e2 != op(e3,e1) )
| ( e3 != op(e0,e3)
& e1 != op(e0,e3)
& e2 != op(e0,e3)
& e0 != op(e0,e3) )
| op(op(e1,e0),e2) != op(e1,op(e0,e2))
| ( e0 != op(e1,e3)
& e2 != op(e1,e3)
& e3 != op(e1,e3)
& e1 != op(e1,e3) )
| op(op(e2,e1),e2) != op(e2,op(e1,e2))
| unit != op(e0,inv(e0))
| op(op(e0,e2),e0) != op(e0,op(e2,e0))
| op(op(e1,e1),e1) != op(e1,op(e1,e1))
| op(op(e0,e1),e0) != op(e0,op(e1,e0))
| op(op(e0,e3),e2) != op(e0,op(e3,e2))
| ( e1 != op(e1,e0)
& e3 != op(e1,e0)
& e0 != op(e1,e0)
& e2 != op(e1,e0) )
| op(op(e1,e1),e0) != op(e1,op(e1,e0))
| unit != op(inv(e1),e1)
| op(op(e1,e1),e3) != op(e1,op(e1,e3))
| op(op(e3,e0),e1) != op(e3,op(e0,e1))
| op(op(e0,e0),e3) != op(e0,op(e0,e3))
| op(op(e3,e1),e0) != op(e3,op(e1,e0))
| op(op(e3,e3),e3) != op(e3,op(e3,e3))
| op(op(e2,e0),e2) != op(e2,op(e0,e2))
| op(op(e0,e0),e2) != op(e0,op(e0,e2))
| ( e3 != op(e0,e0)
& e2 != op(e0,e0)
& e1 != op(e0,e0)
& e0 != op(e0,e0) )
| ( e0 != inv(e0)
& e3 != inv(e0)
& e1 != inv(e0)
& e2 != inv(e0) )
| op(op(e3,e1),e2) != op(e3,op(e1,e2))
| op(op(e2,e2),e3) != op(e2,op(e2,e3))
| op(op(e0,e1),e1) != op(e0,op(e1,e1))
| op(op(e3,e3),e2) != op(e3,op(e3,e2))
| op(op(e3,e0),e3) != op(e3,op(e0,e3))
| e0 != op(unit,e0)
| op(op(e3,e2),e1) != op(e3,op(e2,e1))
| op(op(e0,e1),e2) != op(e0,op(e1,e2))
| e2 != op(unit,e2)
| unit != op(e2,inv(e2))
| op(op(e2,e2),e0) != op(e2,op(e2,e0))
| op(op(e0,e3),e0) != op(e0,op(e3,e0))
| op(op(e2,e3),e1) != op(e2,op(e3,e1))
| op(op(e0,e2),e2) != op(e0,op(e2,e2))
| e3 != op(e3,unit)
| op(op(e1,e3),e2) != op(e1,op(e3,e2))
| op(op(e1,e1),e2) != op(e1,op(e1,e2))
| op(op(e0,e0),e1) != op(e0,op(e0,e1))
| op(op(e1,e3),e1) != op(e1,op(e3,e1))
| op(op(e2,e1),e0) != op(e2,op(e1,e0))
| op(op(e3,e0),e2) != op(e3,op(e0,e2))
| op(op(e3,e1),e1) != op(e3,op(e1,e1))
| op(op(e0,e2),e1) != op(e0,op(e2,e1))
| op(op(e2,e2),e2) != op(e2,op(e2,e2))
| op(op(e1,e2),e0) != op(e1,op(e2,e0))
| ( e1 = op(e1,e1)
& e1 = op(e0,e0)
& e1 = op(e3,e3)
& e1 = op(e2,e2) )
| op(op(e0,e3),e1) != op(e0,op(e3,e1))
| op(op(e3,e2),e3) != op(e3,op(e2,e3))
| op(op(e0,e0),e0) != op(e0,op(e0,e0))
| ( e0 != op(e2,e1)
& e2 != op(e2,e1)
& e1 != op(e2,e1)
& e3 != op(e2,e1) )
| op(op(e3,e2),e2) != op(e3,op(e2,e2))
| op(op(e3,e3),e1) != op(e3,op(e3,e1))
| e0 != op(e0,unit) ),
inference(flattening,[],[f7]) ).
fof(f7,plain,
( e0 != op(e0,unit)
| op(op(e2,e2),e2) != op(e2,op(e2,e2))
| op(op(e3,e3),e1) != op(e3,op(e3,e1))
| op(op(e1,e2),e1) != op(e1,op(e2,e1))
| op(op(e2,e3),e0) != op(e2,op(e3,e0))
| e2 != op(unit,e2)
| op(op(e3,e1),e1) != op(e3,op(e1,e1))
| op(op(e3,e0),e2) != op(e3,op(e0,e2))
| op(op(e1,e0),e3) != op(e1,op(e0,e3))
| op(op(e3,e2),e1) != op(e3,op(e2,e1))
| op(op(e0,e0),e0) != op(e0,op(e0,e0))
| op(op(e3,e0),e3) != op(e3,op(e0,e3))
| e2 != op(e2,unit)
| op(op(e1,e2),e2) != op(e1,op(e2,e2))
| op(op(e0,e2),e0) != op(e0,op(e2,e0))
| ( e3 != op(e0,e0)
& e2 != op(e0,e0)
& e1 != op(e0,e0)
& e0 != op(e0,e0) )
| op(op(e1,e0),e0) != op(e1,op(e0,e0))
| ( e2 != op(e1,e2)
& e0 != op(e1,e2)
& e1 != op(e1,e2)
& e3 != op(e1,e2) )
| op(op(e3,e3),e3) != op(e3,op(e3,e3))
| ( e0 != op(e0,e2)
& e1 != op(e0,e2)
& e3 != op(e0,e2)
& e2 != op(e0,e2) )
| ( e1 != op(e3,e3)
& e2 != op(e3,e3)
& e3 != op(e3,e3)
& e0 != op(e3,e3) )
| op(op(e0,e1),e1) != op(e0,op(e1,e1))
| e3 != op(unit,e3)
| op(op(e1,e1),e1) != op(e1,op(e1,e1))
| ( e0 != op(e3,e0)
& e1 != op(e3,e0)
& e3 != op(e3,e0)
& e2 != op(e3,e0) )
| ( e1 != op(e1,e1)
& e0 != op(e1,e1)
& e2 != op(e1,e1)
& e3 != op(e1,e1) )
| op(op(e0,e2),e2) != op(e0,op(e2,e2))
| ( e2 != inv(e2)
& e3 != inv(e2)
& e0 != inv(e2)
& e1 != inv(e2) )
| op(op(e2,e0),e2) != op(e2,op(e0,e2))
| op(op(e2,e3),e2) != op(e2,op(e3,e2))
| op(op(e0,e1),e3) != op(e0,op(e1,e3))
| e0 != op(unit,e0)
| op(op(e2,e1),e1) != op(e2,op(e1,e1))
| op(op(e2,e2),e0) != op(e2,op(e2,e0))
| op(op(e3,e1),e2) != op(e3,op(e1,e2))
| ( e3 != op(e3,e2)
& e0 != op(e3,e2)
& e1 != op(e3,e2)
& e2 != op(e3,e2) )
| op(op(e0,e1),e0) != op(e0,op(e1,e0))
| ( e1 != unit
& e0 != unit
& e3 != unit
& e2 != unit )
| ( e0 != inv(e0)
& e3 != inv(e0)
& e1 != inv(e0)
& e2 != inv(e0) )
| ( e3 != op(e0,e3)
& e1 != op(e0,e3)
& e2 != op(e0,e3)
& e0 != op(e0,e3) )
| ( e1 = op(e1,e1)
& e1 = op(e0,e0)
& e1 = op(e3,e3)
& e1 = op(e2,e2) )
| ( e0 = op(e3,e3)
& e0 = op(e1,e1)
& e0 = op(e2,e2)
& e0 = op(e0,e0) )
| ( e3 = op(e0,e0)
& e3 = op(e3,e3)
& e3 = op(e1,e1)
& e3 = op(e2,e2) )
| ( e2 = op(e1,e1)
& e2 = op(e3,e3)
& e2 = op(e2,e2)
& e2 = op(e0,e0) )
| unit != op(inv(e1),e1)
| op(op(e1,e1),e2) != op(e1,op(e1,e2))
| unit != op(inv(e0),e0)
| e1 != op(unit,e1)
| e1 != op(e1,unit)
| e3 != op(e3,unit)
| op(op(e3,e0),e0) != op(e3,op(e0,e0))
| ( e0 != op(e1,e3)
& e2 != op(e1,e3)
& e3 != op(e1,e3)
& e1 != op(e1,e3) )
| op(op(e0,e2),e1) != op(e0,op(e2,e1))
| op(op(e1,e3),e3) != op(e1,op(e3,e3))
| op(op(e0,e3),e1) != op(e0,op(e3,e1))
| op(op(e1,e2),e0) != op(e1,op(e2,e0))
| op(op(e3,e0),e1) != op(e3,op(e0,e1))
| op(op(e1,e1),e0) != op(e1,op(e1,e0))
| ( e1 != op(e2,e2)
& e2 != op(e2,e2)
& e3 != op(e2,e2)
& e0 != op(e2,e2) )
| op(op(e1,e3),e0) != op(e1,op(e3,e0))
| op(op(e2,e1),e0) != op(e2,op(e1,e0))
| ( e2 != op(e2,e0)
& e0 != op(e2,e0)
& e1 != op(e2,e0)
& e3 != op(e2,e0) )
| op(op(e2,e2),e3) != op(e2,op(e2,e3))
| op(op(e1,e3),e1) != op(e1,op(e3,e1))
| ( e3 != op(e2,e3)
& e0 != op(e2,e3)
& e1 != op(e2,e3)
& e2 != op(e2,e3) )
| unit != op(inv(e2),e2)
| op(op(e3,e3),e0) != op(e3,op(e3,e0))
| op(op(e3,e3),e2) != op(e3,op(e3,e2))
| op(op(e0,e3),e3) != op(e0,op(e3,e3))
| op(op(e2,e0),e0) != op(e2,op(e0,e0))
| ( e0 != op(e3,e1)
& e3 != op(e3,e1)
& e1 != op(e3,e1)
& e2 != op(e3,e1) )
| op(op(e1,e0),e2) != op(e1,op(e0,e2))
| unit != op(e0,inv(e0))
| op(op(e3,e2),e0) != op(e3,op(e2,e0))
| op(op(e2,e3),e1) != op(e2,op(e3,e1))
| op(op(e3,e1),e3) != op(e3,op(e1,e3))
| op(op(e1,e1),e3) != op(e1,op(e1,e3))
| op(op(e0,e3),e2) != op(e0,op(e3,e2))
| unit != op(e3,inv(e3))
| op(op(e0,e3),e0) != op(e0,op(e3,e0))
| op(op(e2,e2),e1) != op(e2,op(e2,e1))
| op(op(e2,e3),e3) != op(e2,op(e3,e3))
| op(op(e2,e1),e3) != op(e2,op(e1,e3))
| op(op(e0,e0),e1) != op(e0,op(e0,e1))
| op(op(e0,e0),e3) != op(e0,op(e0,e3))
| ( e2 != inv(e3)
& e1 != inv(e3)
& e3 != inv(e3)
& e0 != inv(e3) )
| op(op(e2,e0),e1) != op(e2,op(e0,e1))
| ( e0 != op(e2,e1)
& e2 != op(e2,e1)
& e1 != op(e2,e1)
& e3 != op(e2,e1) )
| op(op(e3,e2),e2) != op(e3,op(e2,e2))
| op(op(e1,e3),e2) != op(e1,op(e3,e2))
| op(op(e2,e0),e3) != op(e2,op(e0,e3))
| op(op(e2,e1),e2) != op(e2,op(e1,e2))
| op(op(e1,e0),e1) != op(e1,op(e0,e1))
| op(op(e0,e0),e2) != op(e0,op(e0,e2))
| unit != op(inv(e3),e3)
| op(op(e0,e1),e2) != op(e0,op(e1,e2))
| op(op(e3,e1),e0) != op(e3,op(e1,e0))
| ( e3 != op(e0,e1)
& e1 != op(e0,e1)
& e0 != op(e0,e1)
& e2 != op(e0,e1) )
| op(op(e0,e2),e3) != op(e0,op(e2,e3))
| op(op(e3,e2),e3) != op(e3,op(e2,e3))
| ( e2 != inv(e1)
& e1 != inv(e1)
& e0 != inv(e1)
& e3 != inv(e1) )
| unit != op(e1,inv(e1))
| op(op(e1,e2),e3) != op(e1,op(e2,e3))
| ( e1 != op(e1,e0)
& e3 != op(e1,e0)
& e0 != op(e1,e0)
& e2 != op(e1,e0) )
| unit != op(e2,inv(e2)) ),
inference(ennf_transformation,[],[f6]) ).
fof(f6,negated_conjecture,
~ ( e0 = op(e0,unit)
& op(op(e2,e2),e2) = op(e2,op(e2,e2))
& op(op(e3,e3),e1) = op(e3,op(e3,e1))
& op(op(e1,e2),e1) = op(e1,op(e2,e1))
& op(op(e2,e3),e0) = op(e2,op(e3,e0))
& e2 = op(unit,e2)
& op(op(e3,e1),e1) = op(e3,op(e1,e1))
& op(op(e3,e0),e2) = op(e3,op(e0,e2))
& op(op(e1,e0),e3) = op(e1,op(e0,e3))
& op(op(e3,e2),e1) = op(e3,op(e2,e1))
& op(op(e0,e0),e0) = op(e0,op(e0,e0))
& op(op(e3,e0),e3) = op(e3,op(e0,e3))
& e2 = op(e2,unit)
& op(op(e1,e2),e2) = op(e1,op(e2,e2))
& op(op(e0,e2),e0) = op(e0,op(e2,e0))
& ( e0 = op(e0,e0)
| e1 = op(e0,e0)
| e3 = op(e0,e0)
| e2 = op(e0,e0) )
& op(op(e1,e0),e0) = op(e1,op(e0,e0))
& ( e2 = op(e1,e2)
| e3 = op(e1,e2)
| e0 = op(e1,e2)
| e1 = op(e1,e2) )
& op(op(e3,e3),e3) = op(e3,op(e3,e3))
& ( e2 = op(e0,e2)
| e3 = op(e0,e2)
| e1 = op(e0,e2)
| e0 = op(e0,e2) )
& ( e1 = op(e3,e3)
| e0 = op(e3,e3)
| e2 = op(e3,e3)
| e3 = op(e3,e3) )
& op(op(e0,e1),e1) = op(e0,op(e1,e1))
& e3 = op(unit,e3)
& op(op(e1,e1),e1) = op(e1,op(e1,e1))
& ( e1 = op(e3,e0)
| e3 = op(e3,e0)
| e0 = op(e3,e0)
| e2 = op(e3,e0) )
& ( e1 = op(e1,e1)
| e3 = op(e1,e1)
| e0 = op(e1,e1)
| e2 = op(e1,e1) )
& op(op(e0,e2),e2) = op(e0,op(e2,e2))
& ( e0 = inv(e2)
| e2 = inv(e2)
| e1 = inv(e2)
| e3 = inv(e2) )
& op(op(e2,e0),e2) = op(e2,op(e0,e2))
& op(op(e2,e3),e2) = op(e2,op(e3,e2))
& op(op(e0,e1),e3) = op(e0,op(e1,e3))
& e0 = op(unit,e0)
& op(op(e2,e1),e1) = op(e2,op(e1,e1))
& op(op(e2,e2),e0) = op(e2,op(e2,e0))
& op(op(e3,e1),e2) = op(e3,op(e1,e2))
& ( e3 = op(e3,e2)
| e0 = op(e3,e2)
| e2 = op(e3,e2)
| e1 = op(e3,e2) )
& op(op(e0,e1),e0) = op(e0,op(e1,e0))
& ( e0 = unit
| e3 = unit
| e1 = unit
| e2 = unit )
& ( e2 = inv(e0)
| e0 = inv(e0)
| e3 = inv(e0)
| e1 = inv(e0) )
& ( e1 = op(e0,e3)
| e2 = op(e0,e3)
| e3 = op(e0,e3)
| e0 = op(e0,e3) )
& ~ ( ( e1 = op(e1,e1)
& e1 = op(e0,e0)
& e1 = op(e3,e3)
& e1 = op(e2,e2) )
| ( e0 = op(e3,e3)
& e0 = op(e1,e1)
& e0 = op(e2,e2)
& e0 = op(e0,e0) )
| ( e3 = op(e0,e0)
& e3 = op(e3,e3)
& e3 = op(e1,e1)
& e3 = op(e2,e2) )
| ( e2 = op(e1,e1)
& e2 = op(e3,e3)
& e2 = op(e2,e2)
& e2 = op(e0,e0) ) )
& unit = op(inv(e1),e1)
& op(op(e1,e1),e2) = op(e1,op(e1,e2))
& unit = op(inv(e0),e0)
& e1 = op(unit,e1)
& e1 = op(e1,unit)
& e3 = op(e3,unit)
& op(op(e3,e0),e0) = op(e3,op(e0,e0))
& ( e1 = op(e1,e3)
| e3 = op(e1,e3)
| e2 = op(e1,e3)
| e0 = op(e1,e3) )
& op(op(e0,e2),e1) = op(e0,op(e2,e1))
& op(op(e1,e3),e3) = op(e1,op(e3,e3))
& op(op(e0,e3),e1) = op(e0,op(e3,e1))
& op(op(e1,e2),e0) = op(e1,op(e2,e0))
& op(op(e3,e0),e1) = op(e3,op(e0,e1))
& op(op(e1,e1),e0) = op(e1,op(e1,e0))
& ( e3 = op(e2,e2)
| e0 = op(e2,e2)
| e2 = op(e2,e2)
| e1 = op(e2,e2) )
& op(op(e1,e3),e0) = op(e1,op(e3,e0))
& op(op(e2,e1),e0) = op(e2,op(e1,e0))
& ( e1 = op(e2,e0)
| e2 = op(e2,e0)
| e3 = op(e2,e0)
| e0 = op(e2,e0) )
& op(op(e2,e2),e3) = op(e2,op(e2,e3))
& op(op(e1,e3),e1) = op(e1,op(e3,e1))
& ( e1 = op(e2,e3)
| e0 = op(e2,e3)
| e3 = op(e2,e3)
| e2 = op(e2,e3) )
& unit = op(inv(e2),e2)
& op(op(e3,e3),e0) = op(e3,op(e3,e0))
& op(op(e3,e3),e2) = op(e3,op(e3,e2))
& op(op(e0,e3),e3) = op(e0,op(e3,e3))
& op(op(e2,e0),e0) = op(e2,op(e0,e0))
& ( e2 = op(e3,e1)
| e3 = op(e3,e1)
| e1 = op(e3,e1)
| e0 = op(e3,e1) )
& op(op(e1,e0),e2) = op(e1,op(e0,e2))
& unit = op(e0,inv(e0))
& op(op(e3,e2),e0) = op(e3,op(e2,e0))
& op(op(e2,e3),e1) = op(e2,op(e3,e1))
& op(op(e3,e1),e3) = op(e3,op(e1,e3))
& op(op(e1,e1),e3) = op(e1,op(e1,e3))
& op(op(e0,e3),e2) = op(e0,op(e3,e2))
& unit = op(e3,inv(e3))
& op(op(e0,e3),e0) = op(e0,op(e3,e0))
& op(op(e2,e2),e1) = op(e2,op(e2,e1))
& op(op(e2,e3),e3) = op(e2,op(e3,e3))
& op(op(e2,e1),e3) = op(e2,op(e1,e3))
& op(op(e0,e0),e1) = op(e0,op(e0,e1))
& op(op(e0,e0),e3) = op(e0,op(e0,e3))
& ( e2 = inv(e3)
| e3 = inv(e3)
| e0 = inv(e3)
| e1 = inv(e3) )
& op(op(e2,e0),e1) = op(e2,op(e0,e1))
& ( e0 = op(e2,e1)
| e1 = op(e2,e1)
| e3 = op(e2,e1)
| e2 = op(e2,e1) )
& op(op(e3,e2),e2) = op(e3,op(e2,e2))
& op(op(e1,e3),e2) = op(e1,op(e3,e2))
& op(op(e2,e0),e3) = op(e2,op(e0,e3))
& op(op(e2,e1),e2) = op(e2,op(e1,e2))
& op(op(e1,e0),e1) = op(e1,op(e0,e1))
& op(op(e0,e0),e2) = op(e0,op(e0,e2))
& unit = op(inv(e3),e3)
& op(op(e0,e1),e2) = op(e0,op(e1,e2))
& op(op(e3,e1),e0) = op(e3,op(e1,e0))
& ( e2 = op(e0,e1)
| e0 = op(e0,e1)
| e3 = op(e0,e1)
| e1 = op(e0,e1) )
& op(op(e0,e2),e3) = op(e0,op(e2,e3))
& op(op(e3,e2),e3) = op(e3,op(e2,e3))
& ( e2 = inv(e1)
| e0 = inv(e1)
| e3 = inv(e1)
| e1 = inv(e1) )
& unit = op(e1,inv(e1))
& op(op(e1,e2),e3) = op(e1,op(e2,e3))
& ( e1 = op(e1,e0)
| e3 = op(e1,e0)
| e2 = op(e1,e0)
| e0 = op(e1,e0) )
& unit = op(e2,inv(e2)) ),
inference(negated_conjecture,[],[f5]) ).
fof(f5,conjecture,
( e0 = op(e0,unit)
& op(op(e2,e2),e2) = op(e2,op(e2,e2))
& op(op(e3,e3),e1) = op(e3,op(e3,e1))
& op(op(e1,e2),e1) = op(e1,op(e2,e1))
& op(op(e2,e3),e0) = op(e2,op(e3,e0))
& e2 = op(unit,e2)
& op(op(e3,e1),e1) = op(e3,op(e1,e1))
& op(op(e3,e0),e2) = op(e3,op(e0,e2))
& op(op(e1,e0),e3) = op(e1,op(e0,e3))
& op(op(e3,e2),e1) = op(e3,op(e2,e1))
& op(op(e0,e0),e0) = op(e0,op(e0,e0))
& op(op(e3,e0),e3) = op(e3,op(e0,e3))
& e2 = op(e2,unit)
& op(op(e1,e2),e2) = op(e1,op(e2,e2))
& op(op(e0,e2),e0) = op(e0,op(e2,e0))
& ( e0 = op(e0,e0)
| e1 = op(e0,e0)
| e3 = op(e0,e0)
| e2 = op(e0,e0) )
& op(op(e1,e0),e0) = op(e1,op(e0,e0))
& ( e2 = op(e1,e2)
| e3 = op(e1,e2)
| e0 = op(e1,e2)
| e1 = op(e1,e2) )
& op(op(e3,e3),e3) = op(e3,op(e3,e3))
& ( e2 = op(e0,e2)
| e3 = op(e0,e2)
| e1 = op(e0,e2)
| e0 = op(e0,e2) )
& ( e1 = op(e3,e3)
| e0 = op(e3,e3)
| e2 = op(e3,e3)
| e3 = op(e3,e3) )
& op(op(e0,e1),e1) = op(e0,op(e1,e1))
& e3 = op(unit,e3)
& op(op(e1,e1),e1) = op(e1,op(e1,e1))
& ( e1 = op(e3,e0)
| e3 = op(e3,e0)
| e0 = op(e3,e0)
| e2 = op(e3,e0) )
& ( e1 = op(e1,e1)
| e3 = op(e1,e1)
| e0 = op(e1,e1)
| e2 = op(e1,e1) )
& op(op(e0,e2),e2) = op(e0,op(e2,e2))
& ( e0 = inv(e2)
| e2 = inv(e2)
| e1 = inv(e2)
| e3 = inv(e2) )
& op(op(e2,e0),e2) = op(e2,op(e0,e2))
& op(op(e2,e3),e2) = op(e2,op(e3,e2))
& op(op(e0,e1),e3) = op(e0,op(e1,e3))
& e0 = op(unit,e0)
& op(op(e2,e1),e1) = op(e2,op(e1,e1))
& op(op(e2,e2),e0) = op(e2,op(e2,e0))
& op(op(e3,e1),e2) = op(e3,op(e1,e2))
& ( e3 = op(e3,e2)
| e0 = op(e3,e2)
| e2 = op(e3,e2)
| e1 = op(e3,e2) )
& op(op(e0,e1),e0) = op(e0,op(e1,e0))
& ( e0 = unit
| e3 = unit
| e1 = unit
| e2 = unit )
& ( e2 = inv(e0)
| e0 = inv(e0)
| e3 = inv(e0)
| e1 = inv(e0) )
& ( e1 = op(e0,e3)
| e2 = op(e0,e3)
| e3 = op(e0,e3)
| e0 = op(e0,e3) )
& ~ ( ( e1 = op(e1,e1)
& e1 = op(e0,e0)
& e1 = op(e3,e3)
& e1 = op(e2,e2) )
| ( e0 = op(e3,e3)
& e0 = op(e1,e1)
& e0 = op(e2,e2)
& e0 = op(e0,e0) )
| ( e3 = op(e0,e0)
& e3 = op(e3,e3)
& e3 = op(e1,e1)
& e3 = op(e2,e2) )
| ( e2 = op(e1,e1)
& e2 = op(e3,e3)
& e2 = op(e2,e2)
& e2 = op(e0,e0) ) )
& unit = op(inv(e1),e1)
& op(op(e1,e1),e2) = op(e1,op(e1,e2))
& unit = op(inv(e0),e0)
& e1 = op(unit,e1)
& e1 = op(e1,unit)
& e3 = op(e3,unit)
& op(op(e3,e0),e0) = op(e3,op(e0,e0))
& ( e1 = op(e1,e3)
| e3 = op(e1,e3)
| e2 = op(e1,e3)
| e0 = op(e1,e3) )
& op(op(e0,e2),e1) = op(e0,op(e2,e1))
& op(op(e1,e3),e3) = op(e1,op(e3,e3))
& op(op(e0,e3),e1) = op(e0,op(e3,e1))
& op(op(e1,e2),e0) = op(e1,op(e2,e0))
& op(op(e3,e0),e1) = op(e3,op(e0,e1))
& op(op(e1,e1),e0) = op(e1,op(e1,e0))
& ( e3 = op(e2,e2)
| e0 = op(e2,e2)
| e2 = op(e2,e2)
| e1 = op(e2,e2) )
& op(op(e1,e3),e0) = op(e1,op(e3,e0))
& op(op(e2,e1),e0) = op(e2,op(e1,e0))
& ( e1 = op(e2,e0)
| e2 = op(e2,e0)
| e3 = op(e2,e0)
| e0 = op(e2,e0) )
& op(op(e2,e2),e3) = op(e2,op(e2,e3))
& op(op(e1,e3),e1) = op(e1,op(e3,e1))
& ( e1 = op(e2,e3)
| e0 = op(e2,e3)
| e3 = op(e2,e3)
| e2 = op(e2,e3) )
& unit = op(inv(e2),e2)
& op(op(e3,e3),e0) = op(e3,op(e3,e0))
& op(op(e3,e3),e2) = op(e3,op(e3,e2))
& op(op(e0,e3),e3) = op(e0,op(e3,e3))
& op(op(e2,e0),e0) = op(e2,op(e0,e0))
& ( e2 = op(e3,e1)
| e3 = op(e3,e1)
| e1 = op(e3,e1)
| e0 = op(e3,e1) )
& op(op(e1,e0),e2) = op(e1,op(e0,e2))
& unit = op(e0,inv(e0))
& op(op(e3,e2),e0) = op(e3,op(e2,e0))
& op(op(e2,e3),e1) = op(e2,op(e3,e1))
& op(op(e3,e1),e3) = op(e3,op(e1,e3))
& op(op(e1,e1),e3) = op(e1,op(e1,e3))
& op(op(e0,e3),e2) = op(e0,op(e3,e2))
& unit = op(e3,inv(e3))
& op(op(e0,e3),e0) = op(e0,op(e3,e0))
& op(op(e2,e2),e1) = op(e2,op(e2,e1))
& op(op(e2,e3),e3) = op(e2,op(e3,e3))
& op(op(e2,e1),e3) = op(e2,op(e1,e3))
& op(op(e0,e0),e1) = op(e0,op(e0,e1))
& op(op(e0,e0),e3) = op(e0,op(e0,e3))
& ( e2 = inv(e3)
| e3 = inv(e3)
| e0 = inv(e3)
| e1 = inv(e3) )
& op(op(e2,e0),e1) = op(e2,op(e0,e1))
& ( e0 = op(e2,e1)
| e1 = op(e2,e1)
| e3 = op(e2,e1)
| e2 = op(e2,e1) )
& op(op(e3,e2),e2) = op(e3,op(e2,e2))
& op(op(e1,e3),e2) = op(e1,op(e3,e2))
& op(op(e2,e0),e3) = op(e2,op(e0,e3))
& op(op(e2,e1),e2) = op(e2,op(e1,e2))
& op(op(e1,e0),e1) = op(e1,op(e0,e1))
& op(op(e0,e0),e2) = op(e0,op(e0,e2))
& unit = op(inv(e3),e3)
& op(op(e0,e1),e2) = op(e0,op(e1,e2))
& op(op(e3,e1),e0) = op(e3,op(e1,e0))
& ( e2 = op(e0,e1)
| e0 = op(e0,e1)
| e3 = op(e0,e1)
| e1 = op(e0,e1) )
& op(op(e0,e2),e3) = op(e0,op(e2,e3))
& op(op(e3,e2),e3) = op(e3,op(e2,e3))
& ( e2 = inv(e1)
| e0 = inv(e1)
| e3 = inv(e1)
| e1 = inv(e1) )
& unit = op(e1,inv(e1))
& op(op(e1,e2),e3) = op(e1,op(e2,e3))
& ( e1 = op(e1,e0)
| e3 = op(e1,e0)
| e2 = op(e1,e0)
| e0 = op(e1,e0) )
& unit = op(e2,inv(e2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).
fof(f828,plain,
spl24_70,
inference(avatar_split_clause,[],[f194,f572]) ).
fof(f194,plain,
e2 = op(e2,unit),
inference(definition_unfolding,[],[f58,f74]) ).
fof(f58,plain,
e2 = op(e2,e0),
inference(cnf_transformation,[],[f2]) ).
fof(f486,plain,
( ~ spl24_28
| ~ spl24_48 ),
inference(avatar_split_clause,[],[f149,f483,f385]) ).
fof(f149,plain,
( e2 != op(e3,e1)
| ~ sP7 ),
inference(cnf_transformation,[],[f50]) ).
fof(f50,plain,
( ( e0 != op(e3,e1)
& e3 != op(e3,e1)
& e1 != op(e3,e1)
& e2 != op(e3,e1) )
| ~ sP7 ),
inference(nnf_transformation,[],[f16]) ).
fof(f462,plain,
( ~ spl24_42
| ~ spl24_43 ),
inference(avatar_split_clause,[],[f231,f459,f455]) ).
fof(f231,plain,
( ~ sP6
| e3 != op(unit,e3) ),
inference(definition_unfolding,[],[f156,f74]) ).
fof(f156,plain,
( e3 != op(e0,e3)
| ~ sP6 ),
inference(cnf_transformation,[],[f51]) ).
fof(f51,plain,
( ( e3 != op(e0,e3)
& e1 != op(e0,e3)
& e2 != op(e0,e3)
& e0 != op(e0,e3) )
| ~ sP6 ),
inference(nnf_transformation,[],[f15]) ).
fof(f448,plain,
spl24_35,
inference(avatar_split_clause,[],[f75,f418]) ).
fof(f75,plain,
e1 = inv(e2),
inference(cnf_transformation,[],[f4]) ).
fof(f421,plain,
( ~ spl24_35
| ~ spl24_21 ),
inference(avatar_split_clause,[],[f133,f353,f418]) ).
fof(f133,plain,
( ~ sP11
| e1 != inv(e2) ),
inference(cnf_transformation,[],[f46]) ).
fof(f46,plain,
( ( e2 != inv(e2)
& e3 != inv(e2)
& e0 != inv(e2)
& e1 != inv(e2) )
| ~ sP11 ),
inference(nnf_transformation,[],[f20]) ).
fof(f397,plain,
( ~ spl24_29
| ~ spl24_30 ),
inference(avatar_split_clause,[],[f244,f394,f390]) ).
fof(f244,plain,
( unit != inv(unit)
| ~ sP2 ),
inference(definition_unfolding,[],[f172,f74,f74]) ).
fof(f172,plain,
( e0 != inv(e0)
| ~ sP2 ),
inference(cnf_transformation,[],[f55]) ).
fof(f55,plain,
( ( e0 != inv(e0)
& e3 != inv(e0)
& e1 != inv(e0)
& e2 != inv(e0) )
| ~ sP2 ),
inference(nnf_transformation,[],[f11]) ).
fof(f374,plain,
( ~ spl24_24
| ~ spl24_25 ),
inference(avatar_split_clause,[],[f109,f371,f367]) ).
fof(f109,plain,
( e3 != op(e1,e1)
| ~ sP17 ),
inference(cnf_transformation,[],[f40]) ).
fof(f40,plain,
( ( e1 != op(e1,e1)
& e0 != op(e1,e1)
& e2 != op(e1,e1)
& e3 != op(e1,e1) )
| ~ sP17 ),
inference(nnf_transformation,[],[f26]) ).
fof(f351,plain,
( ~ spl24_19
| spl24_20 ),
inference(avatar_split_clause,[],[f213,f348,f344]) ).
fof(f213,plain,
( op(e1,e1) = unit
| ~ sP16 ),
inference(definition_unfolding,[],[f115,f74]) ).
fof(f115,plain,
( e0 = op(e1,e1)
| ~ sP16 ),
inference(cnf_transformation,[],[f41]) ).
fof(f41,plain,
( ( e0 = op(e3,e3)
& e0 = op(e1,e1)
& e0 = op(e2,e2)
& e0 = op(e0,e0) )
| ~ sP16 ),
inference(nnf_transformation,[],[f25]) ).
fof(f342,plain,
( spl24_18
| ~ spl24_2 ),
inference(avatar_split_clause,[],[f131,f264,f339]) ).
fof(f131,plain,
( ~ sP12
| e3 = op(e3,e3) ),
inference(cnf_transformation,[],[f45]) ).
fof(f45,plain,
( ( e3 = op(e0,e0)
& e3 = op(e3,e3)
& e3 = op(e1,e1)
& e3 = op(e2,e2) )
| ~ sP12 ),
inference(nnf_transformation,[],[f21]) ).
fof(f309,plain,
( ~ spl24_10
| ~ spl24_11 ),
inference(avatar_split_clause,[],[f159,f306,f302]) ).
fof(f159,plain,
( e2 != op(e1,e3)
| ~ sP5 ),
inference(cnf_transformation,[],[f52]) ).
fof(f52,plain,
( ( e0 != op(e1,e3)
& e2 != op(e1,e3)
& e3 != op(e1,e3)
& e1 != op(e1,e3) )
| ~ sP5 ),
inference(nnf_transformation,[],[f14]) ).
fof(f282,plain,
( ~ spl24_1
| ~ spl24_5 ),
inference(avatar_split_clause,[],[f102,f279,f260]) ).
fof(f102,plain,
( ~ sP19
| e3 != op(e2,e2) ),
inference(cnf_transformation,[],[f38]) ).
fof(f38,plain,
( ( e1 != op(e2,e2)
& e2 != op(e2,e2)
& e3 != op(e2,e2)
& e0 != op(e2,e2) )
| ~ sP19 ),
inference(nnf_transformation,[],[f28]) ).
fof(f268,plain,
spl24_1,
inference(avatar_split_clause,[],[f62,f260]) ).
fof(f62,plain,
e3 = op(e2,e2),
inference(cnf_transformation,[],[f2]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : ALG022+1 : TPTP v8.1.0. Released v2.7.0.
% 0.06/0.12 % 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 : n008.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 14:53:40 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.18/0.49 % (13972)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)
% 0.18/0.49 % (13980)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)
% 0.18/0.50 % (13969)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)
% 0.18/0.50 % (13970)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)
% 1.33/0.51 % (13972)Instruction limit reached!
% 1.33/0.51 % (13972)------------------------------
% 1.33/0.51 % (13972)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.33/0.51 % (13972)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.33/0.51 % (13972)Termination reason: Unknown
% 1.33/0.51 % (13972)Termination phase: Property scanning
% 1.33/0.51
% 1.33/0.51 % (13972)Memory used [KB]: 1535
% 1.33/0.51 % (13972)Time elapsed: 0.005 s
% 1.33/0.51 % (13972)Instructions burned: 4 (million)
% 1.33/0.51 % (13972)------------------------------
% 1.33/0.51 % (13972)------------------------------
% 1.33/0.51 % (13964)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)
% 1.33/0.51 % (13970)Instruction limit reached!
% 1.33/0.51 % (13970)------------------------------
% 1.33/0.51 % (13970)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.33/0.51 % (13986)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)
% 1.33/0.51 % (13978)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)
% 1.33/0.52 % (13960)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)
% 1.33/0.52 % (13962)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)
% 1.33/0.52 % (13960)Instruction limit reached!
% 1.33/0.52 % (13960)------------------------------
% 1.33/0.52 % (13960)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.33/0.52 % (13960)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.33/0.52 % (13960)Termination reason: Unknown
% 1.33/0.52 % (13960)Termination phase: Preprocessing 3
% 1.33/0.52
% 1.33/0.52 % (13960)Memory used [KB]: 1535
% 1.33/0.52 % (13960)Time elapsed: 0.002 s
% 1.33/0.52 % (13960)Instructions burned: 3 (million)
% 1.33/0.52 % (13960)------------------------------
% 1.33/0.52 % (13960)------------------------------
% 1.33/0.52 % (13967)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)
% 1.33/0.52 % (13981)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)
% 1.33/0.52 % (13970)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.33/0.52 % (13970)Termination reason: Unknown
% 1.33/0.52 % (13970)Termination phase: Property scanning
% 1.33/0.52
% 1.33/0.52 % (13970)Memory used [KB]: 1535
% 1.33/0.52 % (13970)Time elapsed: 0.010 s
% 1.33/0.52 % (13970)Instructions burned: 17 (million)
% 1.33/0.52 % (13970)------------------------------
% 1.33/0.52 % (13970)------------------------------
% 1.33/0.52 % (13961)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)
% 1.33/0.52 % (13959)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)
% 1.33/0.52 % (13963)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)
% 1.33/0.52 % (13986)Instruction limit reached!
% 1.33/0.52 % (13986)------------------------------
% 1.33/0.52 % (13986)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.33/0.52 % (13986)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.33/0.52 % (13986)Termination reason: Unknown
% 1.33/0.52 % (13986)Termination phase: Function definition elimination
% 1.33/0.52
% 1.33/0.52 % (13986)Memory used [KB]: 1535
% 1.33/0.52 % (13986)Time elapsed: 0.009 s
% 1.33/0.52 % (13986)Instructions burned: 8 (million)
% 1.33/0.52 % (13986)------------------------------
% 1.33/0.52 % (13986)------------------------------
% 1.33/0.52 % (13958)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99978:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99978Mi)
% 1.33/0.52 % (13969)Instruction limit reached!
% 1.33/0.52 % (13969)------------------------------
% 1.33/0.52 % (13969)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.33/0.52 % (13969)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.33/0.52 % (13969)Termination reason: Unknown
% 1.33/0.52 % (13969)Termination phase: Property scanning
% 1.33/0.52
% 1.33/0.52 % (13969)Memory used [KB]: 1535
% 1.33/0.52 % (13969)Time elapsed: 0.004 s
% 1.33/0.52 % (13969)Instructions burned: 7 (million)
% 1.33/0.52 % (13969)------------------------------
% 1.33/0.52 % (13969)------------------------------
% 1.33/0.52 % (13966)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)
% 1.33/0.52 % (13968)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)
% 1.33/0.52 % (13971)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)
% 1.44/0.53 % (13985)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)
% 1.44/0.53 % (13968)Instruction limit reached!
% 1.44/0.53 % (13968)------------------------------
% 1.44/0.53 % (13968)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.44/0.53 % (13968)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.44/0.53 % (13968)Termination reason: Unknown
% 1.44/0.53 % (13968)Termination phase: Property scanning
% 1.44/0.53
% 1.44/0.53 % (13968)Memory used [KB]: 1535
% 1.44/0.53 % (13968)Time elapsed: 0.005 s
% 1.44/0.53 % (13968)Instructions burned: 13 (million)
% 1.44/0.53 % (13968)------------------------------
% 1.44/0.53 % (13968)------------------------------
% 1.44/0.53 % (13983)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)
% 1.44/0.53 % (13982)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)
% 1.44/0.53 % (13977)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)
% 1.44/0.53 % (13973)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)
% 1.44/0.53 % (13984)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)
% 1.44/0.53 % (13987)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)
% 1.44/0.53 % (13973)Instruction limit reached!
% 1.44/0.53 % (13973)------------------------------
% 1.44/0.53 % (13973)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.44/0.53 % (13973)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.44/0.53 % (13973)Termination reason: Unknown
% 1.44/0.53 % (13973)Termination phase: Property scanning
% 1.44/0.53
% 1.44/0.53 % (13973)Memory used [KB]: 1535
% 1.44/0.53 % (13973)Time elapsed: 0.003 s
% 1.44/0.53 % (13973)Instructions burned: 7 (million)
% 1.44/0.53 % (13973)------------------------------
% 1.44/0.53 % (13973)------------------------------
% 1.44/0.53 % (13978)Instruction limit reached!
% 1.44/0.53 % (13978)------------------------------
% 1.44/0.53 % (13978)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.44/0.53 % (13977)Instruction limit reached!
% 1.44/0.53 % (13977)------------------------------
% 1.44/0.53 % (13977)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.44/0.53 % (13977)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.44/0.53 % (13977)Termination reason: Unknown
% 1.44/0.53 % (13977)Termination phase: Property scanning
% 1.44/0.53
% 1.44/0.53 % (13977)Memory used [KB]: 1535
% 1.44/0.53 % (13977)Time elapsed: 0.005 s
% 1.44/0.53 % (13977)Instructions burned: 11 (million)
% 1.44/0.53 % (13977)------------------------------
% 1.44/0.53 % (13977)------------------------------
% 1.44/0.54 % (13978)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.44/0.54 % (13978)Termination reason: Unknown
% 1.44/0.54 % (13978)Termination phase: Property scanning
% 1.44/0.54
% 1.44/0.54 % (13978)Memory used [KB]: 1663
% 1.44/0.54 % (13978)Time elapsed: 0.021 s
% 1.44/0.54 % (13978)Instructions burned: 30 (million)
% 1.44/0.54 % (13978)------------------------------
% 1.44/0.54 % (13978)------------------------------
% 1.44/0.54 % (13965)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)
% 1.44/0.54 % (13974)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)
% 1.44/0.54 % (13979)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)
% 1.44/0.54 % (13976)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)
% 1.44/0.54 % (13976)Instruction limit reached!
% 1.44/0.54 % (13976)------------------------------
% 1.44/0.54 % (13976)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.44/0.54 % (13976)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.44/0.54 % (13976)Termination reason: Unknown
% 1.44/0.54 % (13976)Termination phase: Preprocessing 2
% 1.44/0.54
% 1.44/0.54 % (13976)Memory used [KB]: 1407
% 1.44/0.54 % (13976)Time elapsed: 0.002 s
% 1.44/0.54 % (13976)Instructions burned: 2 (million)
% 1.44/0.54 % (13976)------------------------------
% 1.44/0.54 % (13976)------------------------------
% 1.44/0.54 % (13962)Instruction limit reached!
% 1.44/0.54 % (13962)------------------------------
% 1.44/0.54 % (13962)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.44/0.54 % (13962)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.44/0.54 % (13962)Termination reason: Unknown
% 1.44/0.54 % (13962)Termination phase: Clausification
% 1.44/0.54
% 1.44/0.54 % (13962)Memory used [KB]: 14072
% 1.44/0.54 % (13962)Time elapsed: 0.011 s
% 1.44/0.54 % (13962)Instructions burned: 13 (million)
% 1.44/0.54 % (13962)------------------------------
% 1.44/0.54 % (13962)------------------------------
% 1.44/0.54 % (13975)fmb+10_1:1_nm=2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 1.44/0.54 % (13959)Instruction limit reached!
% 1.44/0.54 % (13959)------------------------------
% 1.44/0.54 % (13959)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.44/0.54 % (13959)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.44/0.54 % (13959)Termination reason: Unknown
% 1.44/0.54 % (13959)Termination phase: Property scanning
% 1.44/0.54
% 1.44/0.54 % (13959)Memory used [KB]: 1535
% 1.44/0.54 % (13959)Time elapsed: 0.006 s
% 1.44/0.54 % (13959)Instructions burned: 13 (million)
% 1.44/0.54 % (13959)------------------------------
% 1.44/0.54 % (13959)------------------------------
% 1.44/0.54 % (13975)Instruction limit reached!
% 1.44/0.54 % (13975)------------------------------
% 1.44/0.54 % (13975)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.44/0.54 % (13975)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.44/0.54 % (13975)Termination reason: Unknown
% 1.44/0.54 % (13975)Termination phase: Function definition elimination
% 1.44/0.54
% 1.44/0.54 % (13975)Memory used [KB]: 1535
% 1.44/0.54 % (13975)Time elapsed: 0.003 s
% 1.44/0.54 % (13975)Instructions burned: 5 (million)
% 1.44/0.54 % (13975)------------------------------
% 1.44/0.54 % (13975)------------------------------
% 1.44/0.54 % (13964)First to succeed.
% 1.44/0.55 % (13963)Instruction limit reached!
% 1.44/0.55 % (13963)------------------------------
% 1.44/0.55 % (13963)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.44/0.55 % (13963)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.44/0.55 % (13963)Termination reason: Unknown
% 1.44/0.55 % (13963)Termination phase: Saturation
% 1.44/0.55
% 1.44/0.55 % (13963)Memory used [KB]: 1663
% 1.44/0.55 % (13963)Time elapsed: 0.008 s
% 1.44/0.55 % (13963)Instructions burned: 16 (million)
% 1.44/0.55 % (13963)------------------------------
% 1.44/0.55 % (13963)------------------------------
% 1.44/0.55 % (13967)Instruction limit reached!
% 1.44/0.55 % (13967)------------------------------
% 1.44/0.55 % (13967)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.44/0.55 % (13967)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.44/0.55 % (13967)Termination reason: Unknown
% 1.44/0.55 % (13967)Termination phase: Saturation
% 1.44/0.55
% 1.44/0.55 % (13967)Memory used [KB]: 6268
% 1.44/0.55 % (13967)Time elapsed: 0.017 s
% 1.44/0.55 % (13967)Instructions burned: 33 (million)
% 1.44/0.55 % (13967)------------------------------
% 1.44/0.55 % (13967)------------------------------
% 1.44/0.55 % (13985)Instruction limit reached!
% 1.44/0.55 % (13985)------------------------------
% 1.44/0.55 % (13985)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.44/0.55 % (13985)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.44/0.55 % (13985)Termination reason: Unknown
% 1.44/0.55 % (13985)Termination phase: Saturation
% 1.44/0.55
% 1.44/0.55 % (13985)Memory used [KB]: 6652
% 1.44/0.55 % (13985)Time elapsed: 0.170 s
% 1.44/0.55 % (13985)Instructions burned: 26 (million)
% 1.44/0.55 % (13985)------------------------------
% 1.44/0.55 % (13985)------------------------------
% 1.44/0.57 % (13982)Refutation not found, incomplete strategy% (13982)------------------------------
% 1.44/0.57 % (13982)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.44/0.57 % (13982)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.44/0.57 % (13982)Termination reason: Refutation not found, incomplete strategy
% 1.44/0.57
% 1.44/0.57 % (13982)Memory used [KB]: 6652
% 1.44/0.57 % (13982)Time elapsed: 0.184 s
% 1.44/0.57 % (13982)Instructions burned: 25 (million)
% 1.44/0.57 % (13982)------------------------------
% 1.44/0.57 % (13982)------------------------------
% 1.44/0.57 % (13964)Refutation found. Thanks to Tanya!
% 1.44/0.57 % SZS status Theorem for theBenchmark
% 1.44/0.57 % SZS output start Proof for theBenchmark
% See solution above
% 1.44/0.58 % (13964)------------------------------
% 1.44/0.58 % (13964)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.44/0.58 % (13964)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.44/0.58 % (13964)Termination reason: Refutation
% 1.44/0.58
% 1.44/0.58 % (13964)Memory used [KB]: 7036
% 1.44/0.58 % (13964)Time elapsed: 0.104 s
% 1.44/0.58 % (13964)Instructions burned: 35 (million)
% 1.44/0.58 % (13964)------------------------------
% 1.44/0.58 % (13964)------------------------------
% 1.44/0.58 % (13957)Success in time 0.225 s
%------------------------------------------------------------------------------