TSTP Solution File: ALG068+1 by Vampire---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : ALG068+1 : TPTP v8.1.2. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% Computer : n026.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Sun May 5 04:10:54 EDT 2024
% Result : Theorem 0.60s 0.79s
% Output : Refutation 0.60s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 134
% Syntax : Number of formulae : 537 ( 79 unt; 0 def)
% Number of atoms : 2266 (1493 equ)
% Maximal formula atoms : 250 ( 4 avg)
% Number of connectives : 2707 ( 978 ~;1085 |; 541 &)
% ( 103 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 101 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 129 ( 127 usr; 128 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 6 con; 0-2 aty)
% Number of variables : 0 ( 0 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2785,plain,
$false,
inference(avatar_sat_refutation,[],[f376,f395,f414,f438,f452,f464,f478,f497,f521,f535,f550,f562,f576,f600,f609,f629,f644,f656,f675,f690,f705,f720,f735,f746,f753,f834,f897,f935,f937,f943,f947,f954,f994,f1024,f1035,f1166,f1177,f1199,f1277,f1338,f1353,f1354,f1356,f1360,f1361,f1386,f1387,f1468,f1470,f1477,f1547,f1551,f1553,f1568,f1569,f1579,f1681,f1692,f1720,f1737,f1759,f1761,f1796,f1825,f1852,f1873,f1884,f1897,f1907,f1916,f1926,f1934,f1945,f1953,f1965,f1970,f1978,f1986,f1997,f1999,f2011,f2058,f2092,f2105,f2130,f2194,f2263,f2296,f2329,f2429,f2458,f2469,f2597,f2637,f2653,f2654,f2655,f2656,f2657,f2658,f2667,f2675,f2689,f2781]) ).
fof(f2781,plain,
( ~ spl24_3
| ~ spl24_132
| ~ spl24_155 ),
inference(avatar_contradiction_clause,[],[f2780]) ).
fof(f2780,plain,
( $false
| ~ spl24_3
| ~ spl24_132
| ~ spl24_155 ),
inference(subsumption_resolution,[],[f2779,f168]) ).
fof(f168,plain,
e1 != e4,
inference(cnf_transformation,[],[f5]) ).
fof(f5,axiom,
( e3 != e4
& e2 != e4
& e2 != e3
& e1 != e4
& e1 != e3
& e1 != e2
& e0 != e4
& e0 != e3
& e0 != e2
& e0 != e1 ),
file('/export/starexec/sandbox/tmp/tmp.JMgY3mHGzZ/Vampire---4.8_26625',ax5) ).
fof(f2779,plain,
( e1 = e4
| ~ spl24_3
| ~ spl24_132
| ~ spl24_155 ),
inference(forward_demodulation,[],[f2778,f1133]) ).
fof(f1133,plain,
( e1 = op(e2,e3)
| ~ spl24_155 ),
inference(avatar_component_clause,[],[f1131]) ).
fof(f1131,plain,
( spl24_155
<=> e1 = op(e2,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl24_155])]) ).
fof(f2778,plain,
( e4 = op(e2,e3)
| ~ spl24_3
| ~ spl24_132 ),
inference(forward_demodulation,[],[f375,f1023]) ).
fof(f1023,plain,
( e2 = op(e4,e3)
| ~ spl24_132 ),
inference(avatar_component_clause,[],[f1021]) ).
fof(f1021,plain,
( spl24_132
<=> e2 = op(e4,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl24_132])]) ).
fof(f375,plain,
( e4 = op(op(e4,e3),e3)
| ~ spl24_3 ),
inference(avatar_component_clause,[],[f373]) ).
fof(f373,plain,
( spl24_3
<=> e4 = op(op(e4,e3),e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl24_3])]) ).
fof(f2689,plain,
( ~ spl24_142
| ~ spl24_166 ),
inference(avatar_split_clause,[],[f2687,f1185,f1071]) ).
fof(f1071,plain,
( spl24_142
<=> e4 = op(e2,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl24_142])]) ).
fof(f1185,plain,
( spl24_166
<=> e4 = op(e2,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl24_166])]) ).
fof(f2687,plain,
( e4 != op(e2,e3)
| ~ spl24_166 ),
inference(backward_demodulation,[],[f247,f1187]) ).
fof(f1187,plain,
( e4 = op(e2,e1)
| ~ spl24_166 ),
inference(avatar_component_clause,[],[f1185]) ).
fof(f247,plain,
op(e2,e1) != op(e2,e3),
inference(cnf_transformation,[],[f4]) ).
fof(f4,axiom,
( op(e4,e3) != op(e4,e4)
& op(e4,e2) != op(e4,e4)
& op(e4,e2) != op(e4,e3)
& op(e4,e1) != op(e4,e4)
& op(e4,e1) != op(e4,e3)
& op(e4,e1) != op(e4,e2)
& op(e4,e0) != op(e4,e4)
& op(e4,e0) != op(e4,e3)
& op(e4,e0) != op(e4,e2)
& op(e4,e0) != op(e4,e1)
& op(e3,e3) != op(e3,e4)
& op(e3,e2) != op(e3,e4)
& op(e3,e2) != op(e3,e3)
& op(e3,e1) != op(e3,e4)
& op(e3,e1) != op(e3,e3)
& op(e3,e1) != op(e3,e2)
& op(e3,e0) != op(e3,e4)
& op(e3,e0) != op(e3,e3)
& op(e3,e0) != op(e3,e2)
& op(e3,e0) != op(e3,e1)
& op(e2,e3) != op(e2,e4)
& op(e2,e2) != op(e2,e4)
& op(e2,e2) != op(e2,e3)
& op(e2,e1) != op(e2,e4)
& op(e2,e1) != op(e2,e3)
& op(e2,e1) != op(e2,e2)
& op(e2,e0) != op(e2,e4)
& op(e2,e0) != op(e2,e3)
& op(e2,e0) != op(e2,e2)
& op(e2,e0) != op(e2,e1)
& op(e1,e3) != op(e1,e4)
& op(e1,e2) != op(e1,e4)
& op(e1,e2) != op(e1,e3)
& op(e1,e1) != op(e1,e4)
& op(e1,e1) != op(e1,e3)
& op(e1,e1) != op(e1,e2)
& op(e1,e0) != op(e1,e4)
& op(e1,e0) != op(e1,e3)
& op(e1,e0) != op(e1,e2)
& op(e1,e0) != op(e1,e1)
& op(e0,e3) != op(e0,e4)
& op(e0,e2) != op(e0,e4)
& op(e0,e2) != op(e0,e3)
& op(e0,e1) != op(e0,e4)
& op(e0,e1) != op(e0,e3)
& op(e0,e1) != op(e0,e2)
& op(e0,e0) != op(e0,e4)
& op(e0,e0) != op(e0,e3)
& op(e0,e0) != op(e0,e2)
& op(e0,e0) != op(e0,e1)
& op(e3,e4) != op(e4,e4)
& op(e2,e4) != op(e4,e4)
& op(e2,e4) != op(e3,e4)
& op(e1,e4) != op(e4,e4)
& op(e1,e4) != op(e3,e4)
& op(e1,e4) != op(e2,e4)
& op(e0,e4) != op(e4,e4)
& op(e0,e4) != op(e3,e4)
& op(e0,e4) != op(e2,e4)
& op(e0,e4) != op(e1,e4)
& op(e3,e3) != op(e4,e3)
& op(e2,e3) != op(e4,e3)
& op(e2,e3) != op(e3,e3)
& op(e1,e3) != op(e4,e3)
& op(e1,e3) != op(e3,e3)
& op(e1,e3) != op(e2,e3)
& op(e0,e3) != op(e4,e3)
& op(e0,e3) != op(e3,e3)
& op(e0,e3) != op(e2,e3)
& op(e0,e3) != op(e1,e3)
& op(e3,e2) != op(e4,e2)
& op(e2,e2) != op(e4,e2)
& op(e2,e2) != op(e3,e2)
& op(e1,e2) != op(e4,e2)
& op(e1,e2) != op(e3,e2)
& op(e1,e2) != op(e2,e2)
& op(e0,e2) != op(e4,e2)
& op(e0,e2) != op(e3,e2)
& op(e0,e2) != op(e2,e2)
& op(e0,e2) != op(e1,e2)
& op(e3,e1) != op(e4,e1)
& op(e2,e1) != op(e4,e1)
& op(e2,e1) != op(e3,e1)
& op(e1,e1) != op(e4,e1)
& op(e1,e1) != op(e3,e1)
& op(e1,e1) != op(e2,e1)
& op(e0,e1) != op(e4,e1)
& op(e0,e1) != op(e3,e1)
& op(e0,e1) != op(e2,e1)
& op(e0,e1) != op(e1,e1)
& op(e3,e0) != op(e4,e0)
& op(e2,e0) != op(e4,e0)
& op(e2,e0) != op(e3,e0)
& op(e1,e0) != op(e4,e0)
& op(e1,e0) != op(e3,e0)
& op(e1,e0) != op(e2,e0)
& op(e0,e0) != op(e4,e0)
& op(e0,e0) != op(e3,e0)
& op(e0,e0) != op(e2,e0)
& op(e0,e0) != op(e1,e0) ),
file('/export/starexec/sandbox/tmp/tmp.JMgY3mHGzZ/Vampire---4.8_26625',ax4) ).
fof(f2675,plain,
( ~ spl24_173
| ~ spl24_186 ),
inference(avatar_split_clause,[],[f2669,f1285,f1221]) ).
fof(f1221,plain,
( spl24_173
<=> e1 = op(e2,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl24_173])]) ).
fof(f1285,plain,
( spl24_186
<=> e1 = op(e0,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl24_186])]) ).
fof(f2669,plain,
( e1 != op(e2,e1)
| ~ spl24_186 ),
inference(backward_demodulation,[],[f183,f1287]) ).
fof(f1287,plain,
( e1 = op(e0,e1)
| ~ spl24_186 ),
inference(avatar_component_clause,[],[f1285]) ).
fof(f183,plain,
op(e0,e1) != op(e2,e1),
inference(cnf_transformation,[],[f4]) ).
fof(f2667,plain,
( ~ spl24_160
| ~ spl24_189 ),
inference(avatar_split_clause,[],[f2659,f1313,f1155]) ).
fof(f1155,plain,
( spl24_160
<=> e0 = op(e3,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl24_160])]) ).
fof(f1313,plain,
( spl24_189
<=> e0 = op(e0,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl24_189])]) ).
fof(f2659,plain,
( e0 != op(e3,e0)
| ~ spl24_189 ),
inference(backward_demodulation,[],[f174,f1315]) ).
fof(f1315,plain,
( e0 = op(e0,e0)
| ~ spl24_189 ),
inference(avatar_component_clause,[],[f1313]) ).
fof(f174,plain,
op(e0,e0) != op(e3,e0),
inference(cnf_transformation,[],[f4]) ).
fof(f2658,plain,
( spl24_87
| ~ spl24_190 ),
inference(avatar_split_clause,[],[f2647,f1319,f786]) ).
fof(f786,plain,
( spl24_87
<=> e4 = op(e4,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl24_87])]) ).
fof(f1319,plain,
( spl24_190
<=> e0 = unit ),
introduced(avatar_definition,[new_symbols(naming,[spl24_190])]) ).
fof(f2647,plain,
( e4 = op(e4,e0)
| ~ spl24_190 ),
inference(backward_demodulation,[],[f331,f1321]) ).
fof(f1321,plain,
( e0 = unit
| ~ spl24_190 ),
inference(avatar_component_clause,[],[f1319]) ).
fof(f331,plain,
e4 = op(e4,unit),
inference(cnf_transformation,[],[f2]) ).
fof(f2,axiom,
( ( e4 = unit
| e3 = unit
| e2 = unit
| e1 = unit
| e0 = unit )
& e4 = op(e4,unit)
& e4 = op(unit,e4)
& e3 = op(e3,unit)
& e3 = op(unit,e3)
& e2 = op(e2,unit)
& e2 = op(unit,e2)
& e1 = op(e1,unit)
& e1 = op(unit,e1)
& e0 = op(e0,unit)
& e0 = op(unit,e0) ),
file('/export/starexec/sandbox/tmp/tmp.JMgY3mHGzZ/Vampire---4.8_26625',ax2) ).
fof(f2657,plain,
( spl24_120
| ~ spl24_190 ),
inference(avatar_split_clause,[],[f2646,f1319,f961]) ).
fof(f961,plain,
( spl24_120
<=> e4 = op(e0,e4) ),
introduced(avatar_definition,[new_symbols(naming,[spl24_120])]) ).
fof(f2646,plain,
( e4 = op(e0,e4)
| ~ spl24_190 ),
inference(backward_demodulation,[],[f330,f1321]) ).
fof(f330,plain,
e4 = op(unit,e4),
inference(cnf_transformation,[],[f2]) ).
fof(f2656,plain,
( spl24_95
| ~ spl24_190 ),
inference(avatar_split_clause,[],[f2645,f1319,f822]) ).
fof(f822,plain,
( spl24_95
<=> e3 = op(e3,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl24_95])]) ).
fof(f2645,plain,
( e3 = op(e3,e0)
| ~ spl24_190 ),
inference(backward_demodulation,[],[f329,f1321]) ).
fof(f329,plain,
e3 = op(e3,unit),
inference(cnf_transformation,[],[f2]) ).
fof(f2655,plain,
( spl24_146
| ~ spl24_190 ),
inference(avatar_split_clause,[],[f2644,f1319,f1090]) ).
fof(f1090,plain,
( spl24_146
<=> e3 = op(e0,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl24_146])]) ).
fof(f2644,plain,
( e3 = op(e0,e3)
| ~ spl24_190 ),
inference(backward_demodulation,[],[f328,f1321]) ).
fof(f328,plain,
e3 = op(unit,e3),
inference(cnf_transformation,[],[f2]) ).
fof(f2654,plain,
( spl24_186
| ~ spl24_190 ),
inference(avatar_split_clause,[],[f2640,f1319,f1285]) ).
fof(f2640,plain,
( e1 = op(e0,e1)
| ~ spl24_190 ),
inference(backward_demodulation,[],[f324,f1321]) ).
fof(f324,plain,
e1 = op(unit,e1),
inference(cnf_transformation,[],[f2]) ).
fof(f2653,plain,
( spl24_189
| ~ spl24_190 ),
inference(avatar_split_clause,[],[f2639,f1319,f1313]) ).
fof(f2639,plain,
( e0 = op(e0,e0)
| ~ spl24_190 ),
inference(backward_demodulation,[],[f323,f1321]) ).
fof(f323,plain,
e0 = op(e0,unit),
inference(cnf_transformation,[],[f2]) ).
fof(f2637,plain,
( ~ spl24_184
| ~ spl24_169 ),
inference(avatar_split_clause,[],[f2636,f1203,f1274]) ).
fof(f1274,plain,
( spl24_184
<=> e2 = op(e0,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl24_184])]) ).
fof(f1203,plain,
( spl24_169
<=> e2 = op(e0,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl24_169])]) ).
fof(f2636,plain,
( e2 != op(e0,e1)
| ~ spl24_169 ),
inference(forward_demodulation,[],[f226,f1205]) ).
fof(f1205,plain,
( e2 = op(e0,e2)
| ~ spl24_169 ),
inference(avatar_component_clause,[],[f1203]) ).
fof(f226,plain,
op(e0,e1) != op(e0,e2),
inference(cnf_transformation,[],[f4]) ).
fof(f2597,plain,
( spl24_107
| ~ spl24_193 ),
inference(avatar_contradiction_clause,[],[f2596]) ).
fof(f2596,plain,
( $false
| spl24_107
| ~ spl24_193 ),
inference(subsumption_resolution,[],[f2584,f877]) ).
fof(f877,plain,
( e1 != op(e1,e3)
| spl24_107 ),
inference(avatar_component_clause,[],[f876]) ).
fof(f876,plain,
( spl24_107
<=> e1 = op(e1,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl24_107])]) ).
fof(f2584,plain,
( e1 = op(e1,e3)
| ~ spl24_193 ),
inference(backward_demodulation,[],[f325,f1333]) ).
fof(f1333,plain,
( e3 = unit
| ~ spl24_193 ),
inference(avatar_component_clause,[],[f1331]) ).
fof(f1331,plain,
( spl24_193
<=> e3 = unit ),
introduced(avatar_definition,[new_symbols(naming,[spl24_193])]) ).
fof(f325,plain,
e1 = op(e1,unit),
inference(cnf_transformation,[],[f2]) ).
fof(f2469,plain,
( spl24_58
| ~ spl24_164 ),
inference(avatar_contradiction_clause,[],[f2468]) ).
fof(f2468,plain,
( $false
| spl24_58
| ~ spl24_164 ),
inference(subsumption_resolution,[],[f2464,f160]) ).
fof(f160,plain,
e1 = op(e4,e2),
inference(cnf_transformation,[],[f6]) ).
fof(f6,axiom,
( e3 = op(e2,e4)
& e1 = op(e4,e2)
& e0 = op(op(e4,e2),op(e4,e2)) ),
file('/export/starexec/sandbox/tmp/tmp.JMgY3mHGzZ/Vampire---4.8_26625',ax6) ).
fof(f2464,plain,
( e1 != op(e4,e2)
| spl24_58
| ~ spl24_164 ),
inference(backward_demodulation,[],[f642,f1176]) ).
fof(f1176,plain,
( e4 = op(e1,e2)
| ~ spl24_164 ),
inference(avatar_component_clause,[],[f1174]) ).
fof(f1174,plain,
( spl24_164
<=> e4 = op(e1,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl24_164])]) ).
fof(f642,plain,
( e1 != op(op(e1,e2),e2)
| spl24_58 ),
inference(avatar_component_clause,[],[f641]) ).
fof(f641,plain,
( spl24_58
<=> e1 = op(op(e1,e2),e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl24_58])]) ).
fof(f2458,plain,
( ~ spl24_99
| ~ spl24_49
| ~ spl24_169 ),
inference(avatar_split_clause,[],[f2456,f1203,f597,f840]) ).
fof(f840,plain,
( spl24_99
<=> e2 = op(e2,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl24_99])]) ).
fof(f597,plain,
( spl24_49
<=> op(e0,e2) = op(e2,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl24_49])]) ).
fof(f2456,plain,
( e2 != op(e2,e3)
| ~ spl24_49
| ~ spl24_169 ),
inference(backward_demodulation,[],[f2239,f1205]) ).
fof(f2239,plain,
( op(e0,e2) != op(e2,e3)
| ~ spl24_49 ),
inference(backward_demodulation,[],[f244,f598]) ).
fof(f598,plain,
( op(e0,e2) = op(e2,e0)
| ~ spl24_49 ),
inference(avatar_component_clause,[],[f597]) ).
fof(f244,plain,
op(e2,e0) != op(e2,e3),
inference(cnf_transformation,[],[f4]) ).
fof(f2429,plain,
~ spl24_192,
inference(avatar_contradiction_clause,[],[f2428]) ).
fof(f2428,plain,
( $false
| ~ spl24_192 ),
inference(subsumption_resolution,[],[f2427,f168]) ).
fof(f2427,plain,
( e1 = e4
| ~ spl24_192 ),
inference(forward_demodulation,[],[f2406,f160]) ).
fof(f2406,plain,
( e4 = op(e4,e2)
| ~ spl24_192 ),
inference(backward_demodulation,[],[f331,f1329]) ).
fof(f1329,plain,
( e2 = unit
| ~ spl24_192 ),
inference(avatar_component_clause,[],[f1327]) ).
fof(f1327,plain,
( spl24_192
<=> e2 = unit ),
introduced(avatar_definition,[new_symbols(naming,[spl24_192])]) ).
fof(f2329,plain,
( ~ spl24_146
| ~ spl24_147 ),
inference(avatar_split_clause,[],[f2324,f1094,f1090]) ).
fof(f1094,plain,
( spl24_147
<=> e3 = op(e1,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl24_147])]) ).
fof(f2324,plain,
( e3 != op(e0,e3)
| ~ spl24_147 ),
inference(backward_demodulation,[],[f202,f1096]) ).
fof(f1096,plain,
( e3 = op(e1,e3)
| ~ spl24_147 ),
inference(avatar_component_clause,[],[f1094]) ).
fof(f202,plain,
op(e0,e3) != op(e1,e3),
inference(cnf_transformation,[],[f4]) ).
fof(f2296,plain,
( ~ spl24_146
| ~ spl24_167 ),
inference(avatar_split_clause,[],[f2292,f1192,f1090]) ).
fof(f1192,plain,
( spl24_167
<=> e3 = op(e0,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl24_167])]) ).
fof(f2292,plain,
( e3 != op(e0,e3)
| ~ spl24_167 ),
inference(backward_demodulation,[],[f229,f1194]) ).
fof(f1194,plain,
( e3 = op(e0,e2)
| ~ spl24_167 ),
inference(avatar_component_clause,[],[f1192]) ).
fof(f229,plain,
op(e0,e2) != op(e0,e3),
inference(cnf_transformation,[],[f4]) ).
fof(f2263,plain,
( ~ spl24_110
| ~ spl24_191 ),
inference(avatar_contradiction_clause,[],[f2262]) ).
fof(f2262,plain,
( $false
| ~ spl24_110
| ~ spl24_191 ),
inference(subsumption_resolution,[],[f2261,f162]) ).
fof(f162,plain,
e0 != e1,
inference(cnf_transformation,[],[f5]) ).
fof(f2261,plain,
( e0 = e1
| ~ spl24_110
| ~ spl24_191 ),
inference(forward_demodulation,[],[f2247,f891]) ).
fof(f891,plain,
( e0 = op(e1,e1)
| ~ spl24_110 ),
inference(avatar_component_clause,[],[f890]) ).
fof(f890,plain,
( spl24_110
<=> e0 = op(e1,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl24_110])]) ).
fof(f2247,plain,
( e1 = op(e1,e1)
| ~ spl24_191 ),
inference(backward_demodulation,[],[f325,f1325]) ).
fof(f1325,plain,
( e1 = unit
| ~ spl24_191 ),
inference(avatar_component_clause,[],[f1323]) ).
fof(f1323,plain,
( spl24_191
<=> e1 = unit ),
introduced(avatar_definition,[new_symbols(naming,[spl24_191])]) ).
fof(f2194,plain,
( ~ spl24_87
| ~ spl24_130 ),
inference(avatar_contradiction_clause,[],[f2193]) ).
fof(f2193,plain,
( $false
| ~ spl24_87
| ~ spl24_130 ),
inference(subsumption_resolution,[],[f2192,f170]) ).
fof(f170,plain,
e2 != e4,
inference(cnf_transformation,[],[f5]) ).
fof(f2192,plain,
( e2 = e4
| ~ spl24_87
| ~ spl24_130 ),
inference(backward_demodulation,[],[f788,f1015]) ).
fof(f1015,plain,
( e2 = op(e4,e0)
| ~ spl24_130 ),
inference(avatar_component_clause,[],[f1013]) ).
fof(f1013,plain,
( spl24_130
<=> e2 = op(e4,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl24_130])]) ).
fof(f788,plain,
( e4 = op(e4,e0)
| ~ spl24_87 ),
inference(avatar_component_clause,[],[f786]) ).
fof(f2130,plain,
~ spl24_194,
inference(avatar_contradiction_clause,[],[f2129]) ).
fof(f2129,plain,
( $false
| ~ spl24_194 ),
inference(subsumption_resolution,[],[f2128,f166]) ).
fof(f166,plain,
e1 != e2,
inference(cnf_transformation,[],[f5]) ).
fof(f2128,plain,
( e1 = e2
| ~ spl24_194 ),
inference(forward_demodulation,[],[f2116,f160]) ).
fof(f2116,plain,
( e2 = op(e4,e2)
| ~ spl24_194 ),
inference(backward_demodulation,[],[f326,f1337]) ).
fof(f1337,plain,
( e4 = unit
| ~ spl24_194 ),
inference(avatar_component_clause,[],[f1335]) ).
fof(f1335,plain,
( spl24_194
<=> e4 = unit ),
introduced(avatar_definition,[new_symbols(naming,[spl24_194])]) ).
fof(f326,plain,
e2 = op(unit,e2),
inference(cnf_transformation,[],[f2]) ).
fof(f2105,plain,
( ~ spl24_163
| ~ spl24_120 ),
inference(avatar_split_clause,[],[f2104,f961,f1170]) ).
fof(f1170,plain,
( spl24_163
<=> e4 = op(e0,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl24_163])]) ).
fof(f2104,plain,
( e4 != op(e0,e2)
| ~ spl24_120 ),
inference(forward_demodulation,[],[f230,f963]) ).
fof(f963,plain,
( e4 = op(e0,e4)
| ~ spl24_120 ),
inference(avatar_component_clause,[],[f961]) ).
fof(f230,plain,
op(e0,e2) != op(e0,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f2092,plain,
( ~ spl24_159
| ~ spl24_94 ),
inference(avatar_split_clause,[],[f2091,f818,f1150]) ).
fof(f1150,plain,
( spl24_159
<=> e0 = op(e2,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl24_159])]) ).
fof(f818,plain,
( spl24_94
<=> e0 = op(e3,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl24_94])]) ).
fof(f2091,plain,
( e0 != op(e2,e3)
| ~ spl24_94 ),
inference(forward_demodulation,[],[f209,f819]) ).
fof(f819,plain,
( e0 = op(e3,e3)
| ~ spl24_94 ),
inference(avatar_component_clause,[],[f818]) ).
fof(f209,plain,
op(e2,e3) != op(e3,e3),
inference(cnf_transformation,[],[f4]) ).
fof(f2058,plain,
( ~ spl24_121
| ~ spl24_120 ),
inference(avatar_split_clause,[],[f2004,f961,f965]) ).
fof(f965,plain,
( spl24_121
<=> e4 = op(e1,e4) ),
introduced(avatar_definition,[new_symbols(naming,[spl24_121])]) ).
fof(f2004,plain,
( e4 != op(e1,e4)
| ~ spl24_120 ),
inference(forward_demodulation,[],[f212,f963]) ).
fof(f212,plain,
op(e0,e4) != op(e1,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f2011,plain,
( ~ spl24_128
| ~ spl24_150 ),
inference(avatar_split_clause,[],[f2009,f1108,f1002]) ).
fof(f1002,plain,
( spl24_128
<=> e2 = op(e1,e4) ),
introduced(avatar_definition,[new_symbols(naming,[spl24_128])]) ).
fof(f1108,plain,
( spl24_150
<=> e2 = op(e1,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl24_150])]) ).
fof(f2009,plain,
( e2 != op(e1,e4)
| ~ spl24_150 ),
inference(backward_demodulation,[],[f241,f1110]) ).
fof(f1110,plain,
( e2 = op(e1,e3)
| ~ spl24_150 ),
inference(avatar_component_clause,[],[f1108]) ).
fof(f241,plain,
op(e1,e3) != op(e1,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f1999,plain,
( ~ spl24_105
| ~ spl24_111 ),
inference(avatar_split_clause,[],[f1998,f894,f867]) ).
fof(f867,plain,
( spl24_105
<=> e1 = op(e1,e4) ),
introduced(avatar_definition,[new_symbols(naming,[spl24_105])]) ).
fof(f894,plain,
( spl24_111
<=> e1 = op(e1,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl24_111])]) ).
fof(f1998,plain,
( e1 != op(e1,e4)
| ~ spl24_111 ),
inference(forward_demodulation,[],[f235,f896]) ).
fof(f896,plain,
( e1 = op(e1,e0)
| ~ spl24_111 ),
inference(avatar_component_clause,[],[f894]) ).
fof(f235,plain,
op(e1,e0) != op(e1,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f1997,plain,
( ~ spl24_135
| ~ spl24_110 ),
inference(avatar_split_clause,[],[f1996,f890,f1039]) ).
fof(f1039,plain,
( spl24_135
<=> e0 = op(e1,e4) ),
introduced(avatar_definition,[new_symbols(naming,[spl24_135])]) ).
fof(f1996,plain,
( e0 != op(e1,e4)
| ~ spl24_110 ),
inference(forward_demodulation,[],[f238,f891]) ).
fof(f238,plain,
op(e1,e1) != op(e1,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f1986,plain,
( spl24_64
| ~ spl24_111
| ~ spl24_186 ),
inference(avatar_contradiction_clause,[],[f1985]) ).
fof(f1985,plain,
( $false
| spl24_64
| ~ spl24_111
| ~ spl24_186 ),
inference(subsumption_resolution,[],[f1984,f1287]) ).
fof(f1984,plain,
( e1 != op(e0,e1)
| spl24_64
| ~ spl24_111 ),
inference(forward_demodulation,[],[f674,f896]) ).
fof(f674,plain,
( op(e0,e1) != op(e1,e0)
| spl24_64 ),
inference(avatar_component_clause,[],[f672]) ).
fof(f672,plain,
( spl24_64
<=> op(e0,e1) = op(e1,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl24_64])]) ).
fof(f1978,plain,
( ~ spl24_58
| ~ spl24_168 ),
inference(avatar_contradiction_clause,[],[f1977]) ).
fof(f1977,plain,
( $false
| ~ spl24_58
| ~ spl24_168 ),
inference(subsumption_resolution,[],[f1976,f952]) ).
fof(f952,plain,
e1 != op(e3,e2),
inference(forward_demodulation,[],[f201,f160]) ).
fof(f201,plain,
op(e3,e2) != op(e4,e2),
inference(cnf_transformation,[],[f4]) ).
fof(f1976,plain,
( e1 = op(e3,e2)
| ~ spl24_58
| ~ spl24_168 ),
inference(forward_demodulation,[],[f643,f1198]) ).
fof(f1198,plain,
( e3 = op(e1,e2)
| ~ spl24_168 ),
inference(avatar_component_clause,[],[f1196]) ).
fof(f1196,plain,
( spl24_168
<=> e3 = op(e1,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl24_168])]) ).
fof(f643,plain,
( e1 = op(op(e1,e2),e2)
| ~ spl24_58 ),
inference(avatar_component_clause,[],[f641]) ).
fof(f1970,plain,
( ~ spl24_55
| ~ spl24_141 ),
inference(avatar_contradiction_clause,[],[f1969]) ).
fof(f1969,plain,
( $false
| ~ spl24_55
| ~ spl24_141 ),
inference(subsumption_resolution,[],[f1968,f938]) ).
fof(f938,plain,
e1 != op(e4,e3),
inference(forward_demodulation,[],[f269,f160]) ).
fof(f269,plain,
op(e4,e2) != op(e4,e3),
inference(cnf_transformation,[],[f4]) ).
fof(f1968,plain,
( e1 = op(e4,e3)
| ~ spl24_55
| ~ spl24_141 ),
inference(forward_demodulation,[],[f628,f1069]) ).
fof(f1069,plain,
( e4 = op(e1,e3)
| ~ spl24_141 ),
inference(avatar_component_clause,[],[f1067]) ).
fof(f1067,plain,
( spl24_141
<=> e4 = op(e1,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl24_141])]) ).
fof(f628,plain,
( e1 = op(op(e1,e3),e3)
| ~ spl24_55 ),
inference(avatar_component_clause,[],[f626]) ).
fof(f626,plain,
( spl24_55
<=> e1 = op(op(e1,e3),e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl24_55])]) ).
fof(f1965,plain,
( spl24_51
| ~ spl24_128
| ~ spl24_166 ),
inference(avatar_contradiction_clause,[],[f1964]) ).
fof(f1964,plain,
( $false
| spl24_51
| ~ spl24_128
| ~ spl24_166 ),
inference(subsumption_resolution,[],[f1963,f1187]) ).
fof(f1963,plain,
( e4 != op(e2,e1)
| spl24_51
| ~ spl24_128 ),
inference(forward_demodulation,[],[f608,f1004]) ).
fof(f1004,plain,
( e2 = op(e1,e4)
| ~ spl24_128 ),
inference(avatar_component_clause,[],[f1002]) ).
fof(f608,plain,
( e4 != op(op(e1,e4),e1)
| spl24_51 ),
inference(avatar_component_clause,[],[f606]) ).
fof(f606,plain,
( spl24_51
<=> e4 = op(op(e1,e4),e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl24_51])]) ).
fof(f1953,plain,
( spl24_49
| ~ spl24_103
| ~ spl24_169 ),
inference(avatar_contradiction_clause,[],[f1952]) ).
fof(f1952,plain,
( $false
| spl24_49
| ~ spl24_103
| ~ spl24_169 ),
inference(subsumption_resolution,[],[f1951,f1205]) ).
fof(f1951,plain,
( e2 != op(e0,e2)
| spl24_49
| ~ spl24_103 ),
inference(forward_demodulation,[],[f599,f860]) ).
fof(f860,plain,
( e2 = op(e2,e0)
| ~ spl24_103 ),
inference(avatar_component_clause,[],[f858]) ).
fof(f858,plain,
( spl24_103
<=> e2 = op(e2,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl24_103])]) ).
fof(f599,plain,
( op(e0,e2) != op(e2,e0)
| spl24_49 ),
inference(avatar_component_clause,[],[f597]) ).
fof(f1945,plain,
( ~ spl24_44
| spl24_131
| ~ spl24_166 ),
inference(avatar_contradiction_clause,[],[f1944]) ).
fof(f1944,plain,
( $false
| ~ spl24_44
| spl24_131
| ~ spl24_166 ),
inference(subsumption_resolution,[],[f1943,f1018]) ).
fof(f1018,plain,
( e2 != op(e4,e1)
| spl24_131 ),
inference(avatar_component_clause,[],[f1017]) ).
fof(f1017,plain,
( spl24_131
<=> e2 = op(e4,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl24_131])]) ).
fof(f1943,plain,
( e2 = op(e4,e1)
| ~ spl24_44
| ~ spl24_166 ),
inference(forward_demodulation,[],[f575,f1187]) ).
fof(f575,plain,
( e2 = op(op(e2,e1),e1)
| ~ spl24_44 ),
inference(avatar_component_clause,[],[f573]) ).
fof(f573,plain,
( spl24_44
<=> e2 = op(op(e2,e1),e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl24_44])]) ).
fof(f1934,plain,
( ~ spl24_39
| spl24_150
| ~ spl24_155 ),
inference(avatar_contradiction_clause,[],[f1933]) ).
fof(f1933,plain,
( $false
| ~ spl24_39
| spl24_150
| ~ spl24_155 ),
inference(subsumption_resolution,[],[f1932,f1109]) ).
fof(f1109,plain,
( e2 != op(e1,e3)
| spl24_150 ),
inference(avatar_component_clause,[],[f1108]) ).
fof(f1932,plain,
( e2 = op(e1,e3)
| ~ spl24_39
| ~ spl24_155 ),
inference(forward_demodulation,[],[f549,f1133]) ).
fof(f549,plain,
( e2 = op(op(e2,e3),e3)
| ~ spl24_39 ),
inference(avatar_component_clause,[],[f547]) ).
fof(f547,plain,
( spl24_39
<=> e2 = op(op(e2,e3),e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl24_39])]) ).
fof(f1926,plain,
( ~ spl24_36
| ~ spl24_134 ),
inference(avatar_contradiction_clause,[],[f1925]) ).
fof(f1925,plain,
( $false
| ~ spl24_36
| ~ spl24_134 ),
inference(subsumption_resolution,[],[f1924,f166]) ).
fof(f1924,plain,
( e1 = e2
| ~ spl24_36
| ~ spl24_134 ),
inference(forward_demodulation,[],[f1923,f1034]) ).
fof(f1034,plain,
( e1 = op(e3,e4)
| ~ spl24_134 ),
inference(avatar_component_clause,[],[f1032]) ).
fof(f1032,plain,
( spl24_134
<=> e1 = op(e3,e4) ),
introduced(avatar_definition,[new_symbols(naming,[spl24_134])]) ).
fof(f1923,plain,
( e2 = op(e3,e4)
| ~ spl24_36 ),
inference(forward_demodulation,[],[f534,f161]) ).
fof(f161,plain,
e3 = op(e2,e4),
inference(cnf_transformation,[],[f6]) ).
fof(f534,plain,
( e2 = op(op(e2,e4),e4)
| ~ spl24_36 ),
inference(avatar_component_clause,[],[f532]) ).
fof(f532,plain,
( spl24_36
<=> e2 = op(op(e2,e4),e4) ),
introduced(avatar_definition,[new_symbols(naming,[spl24_36])]) ).
fof(f1916,plain,
( spl24_33
| ~ spl24_95
| ~ spl24_146 ),
inference(avatar_contradiction_clause,[],[f1915]) ).
fof(f1915,plain,
( $false
| spl24_33
| ~ spl24_95
| ~ spl24_146 ),
inference(subsumption_resolution,[],[f1914,f1092]) ).
fof(f1092,plain,
( e3 = op(e0,e3)
| ~ spl24_146 ),
inference(avatar_component_clause,[],[f1090]) ).
fof(f1914,plain,
( e3 != op(e0,e3)
| spl24_33
| ~ spl24_95 ),
inference(forward_demodulation,[],[f520,f824]) ).
fof(f824,plain,
( e3 = op(e3,e0)
| ~ spl24_95 ),
inference(avatar_component_clause,[],[f822]) ).
fof(f520,plain,
( op(e0,e3) != op(e3,e0)
| spl24_33 ),
inference(avatar_component_clause,[],[f518]) ).
fof(f518,plain,
( spl24_33
<=> op(e0,e3) = op(e3,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl24_33])]) ).
fof(f1907,plain,
( ~ spl24_28
| ~ spl24_152 ),
inference(avatar_contradiction_clause,[],[f1906]) ).
fof(f1906,plain,
( $false
| ~ spl24_28
| ~ spl24_152 ),
inference(subsumption_resolution,[],[f1905,f944]) ).
fof(f944,plain,
e3 != op(e2,e1),
inference(forward_demodulation,[],[f248,f161]) ).
fof(f248,plain,
op(e2,e1) != op(e2,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f1905,plain,
( e3 = op(e2,e1)
| ~ spl24_28
| ~ spl24_152 ),
inference(forward_demodulation,[],[f496,f1119]) ).
fof(f1119,plain,
( e2 = op(e3,e1)
| ~ spl24_152 ),
inference(avatar_component_clause,[],[f1117]) ).
fof(f1117,plain,
( spl24_152
<=> e2 = op(e3,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl24_152])]) ).
fof(f496,plain,
( e3 = op(op(e3,e1),e1)
| ~ spl24_28 ),
inference(avatar_component_clause,[],[f494]) ).
fof(f494,plain,
( spl24_28
<=> e3 = op(op(e3,e1),e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl24_28])]) ).
fof(f1897,plain,
( ~ spl24_24
| ~ spl24_145 ),
inference(avatar_contradiction_clause,[],[f1896]) ).
fof(f1896,plain,
( $false
| ~ spl24_24
| ~ spl24_145 ),
inference(subsumption_resolution,[],[f1895,f167]) ).
fof(f167,plain,
e1 != e3,
inference(cnf_transformation,[],[f5]) ).
fof(f1895,plain,
( e1 = e3
| ~ spl24_24
| ~ spl24_145 ),
inference(forward_demodulation,[],[f1894,f160]) ).
fof(f1894,plain,
( e3 = op(e4,e2)
| ~ spl24_24
| ~ spl24_145 ),
inference(forward_demodulation,[],[f477,f1086]) ).
fof(f1086,plain,
( e4 = op(e3,e2)
| ~ spl24_145 ),
inference(avatar_component_clause,[],[f1084]) ).
fof(f1084,plain,
( spl24_145
<=> e4 = op(e3,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl24_145])]) ).
fof(f477,plain,
( e3 = op(op(e3,e2),e2)
| ~ spl24_24 ),
inference(avatar_component_clause,[],[f475]) ).
fof(f475,plain,
( spl24_24
<=> e3 = op(op(e3,e2),e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl24_24])]) ).
fof(f1884,plain,
( ~ spl24_19
| ~ spl24_128
| ~ spl24_134 ),
inference(avatar_contradiction_clause,[],[f1883]) ).
fof(f1883,plain,
( $false
| ~ spl24_19
| ~ spl24_128
| ~ spl24_134 ),
inference(subsumption_resolution,[],[f1882,f169]) ).
fof(f169,plain,
e2 != e3,
inference(cnf_transformation,[],[f5]) ).
fof(f1882,plain,
( e2 = e3
| ~ spl24_19
| ~ spl24_128
| ~ spl24_134 ),
inference(forward_demodulation,[],[f1881,f1004]) ).
fof(f1881,plain,
( e3 = op(e1,e4)
| ~ spl24_19
| ~ spl24_134 ),
inference(forward_demodulation,[],[f451,f1034]) ).
fof(f451,plain,
( e3 = op(op(e3,e4),e4)
| ~ spl24_19 ),
inference(avatar_component_clause,[],[f449]) ).
fof(f449,plain,
( spl24_19
<=> e3 = op(op(e3,e4),e4) ),
introduced(avatar_definition,[new_symbols(naming,[spl24_19])]) ).
fof(f1873,plain,
( spl24_16
| ~ spl24_87
| ~ spl24_120 ),
inference(avatar_contradiction_clause,[],[f1872]) ).
fof(f1872,plain,
( $false
| spl24_16
| ~ spl24_87
| ~ spl24_120 ),
inference(subsumption_resolution,[],[f1871,f963]) ).
fof(f1871,plain,
( e4 != op(e0,e4)
| spl24_16
| ~ spl24_87 ),
inference(forward_demodulation,[],[f437,f788]) ).
fof(f437,plain,
( op(e0,e4) != op(e4,e0)
| spl24_16 ),
inference(avatar_component_clause,[],[f435]) ).
fof(f435,plain,
( spl24_16
<=> op(e0,e4) = op(e4,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl24_16])]) ).
fof(f1852,plain,
( ~ spl24_11
| ~ spl24_125
| ~ spl24_152 ),
inference(avatar_contradiction_clause,[],[f1851]) ).
fof(f1851,plain,
( $false
| ~ spl24_11
| ~ spl24_125
| ~ spl24_152 ),
inference(subsumption_resolution,[],[f1850,f170]) ).
fof(f1850,plain,
( e2 = e4
| ~ spl24_11
| ~ spl24_125
| ~ spl24_152 ),
inference(forward_demodulation,[],[f1846,f1119]) ).
fof(f1846,plain,
( e4 = op(e3,e1)
| ~ spl24_11
| ~ spl24_125 ),
inference(backward_demodulation,[],[f413,f989]) ).
fof(f989,plain,
( e3 = op(e4,e1)
| ~ spl24_125 ),
inference(avatar_component_clause,[],[f987]) ).
fof(f987,plain,
( spl24_125
<=> e3 = op(e4,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl24_125])]) ).
fof(f413,plain,
( e4 = op(op(e4,e1),e1)
| ~ spl24_11 ),
inference(avatar_component_clause,[],[f411]) ).
fof(f411,plain,
( spl24_11
<=> e4 = op(op(e4,e1),e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl24_11])]) ).
fof(f1825,plain,
( ~ spl24_125
| ~ spl24_131 ),
inference(avatar_contradiction_clause,[],[f1824]) ).
fof(f1824,plain,
( $false
| ~ spl24_125
| ~ spl24_131 ),
inference(subsumption_resolution,[],[f1823,f169]) ).
fof(f1823,plain,
( e2 = e3
| ~ spl24_125
| ~ spl24_131 ),
inference(forward_demodulation,[],[f989,f1019]) ).
fof(f1019,plain,
( e2 = op(e4,e1)
| ~ spl24_131 ),
inference(avatar_component_clause,[],[f1017]) ).
fof(f1796,plain,
( spl24_164
| ~ spl24_7 ),
inference(avatar_split_clause,[],[f1604,f392,f1174]) ).
fof(f392,plain,
( spl24_7
<=> e4 = op(op(e4,e2),e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl24_7])]) ).
fof(f1604,plain,
( e4 = op(e1,e2)
| ~ spl24_7 ),
inference(forward_demodulation,[],[f394,f160]) ).
fof(f394,plain,
( e4 = op(op(e4,e2),e2)
| ~ spl24_7 ),
inference(avatar_component_clause,[],[f392]) ).
fof(f1761,plain,
( ~ spl24_91
| ~ spl24_95 ),
inference(avatar_split_clause,[],[f1760,f822,f804]) ).
fof(f804,plain,
( spl24_91
<=> e3 = op(e3,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl24_91])]) ).
fof(f1760,plain,
( e3 != op(e3,e2)
| ~ spl24_95 ),
inference(forward_demodulation,[],[f253,f824]) ).
fof(f253,plain,
op(e3,e0) != op(e3,e2),
inference(cnf_transformation,[],[f4]) ).
fof(f1759,plain,
( ~ spl24_162
| ~ spl24_102 ),
inference(avatar_split_clause,[],[f1758,f854,f1163]) ).
fof(f1163,plain,
( spl24_162
<=> e0 = op(e3,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl24_162])]) ).
fof(f854,plain,
( spl24_102
<=> e0 = op(e2,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl24_102])]) ).
fof(f1758,plain,
( e0 != op(e3,e2)
| ~ spl24_102 ),
inference(forward_demodulation,[],[f199,f855]) ).
fof(f855,plain,
( e0 = op(e2,e2)
| ~ spl24_102 ),
inference(avatar_component_clause,[],[f854]) ).
fof(f199,plain,
op(e2,e2) != op(e3,e2),
inference(cnf_transformation,[],[f4]) ).
fof(f1737,plain,
( ~ spl24_87
| ~ spl24_124 ),
inference(avatar_contradiction_clause,[],[f1736]) ).
fof(f1736,plain,
( $false
| ~ spl24_87
| ~ spl24_124 ),
inference(subsumption_resolution,[],[f1735,f171]) ).
fof(f171,plain,
e3 != e4,
inference(cnf_transformation,[],[f5]) ).
fof(f1735,plain,
( e3 = e4
| ~ spl24_87
| ~ spl24_124 ),
inference(forward_demodulation,[],[f788,f985]) ).
fof(f985,plain,
( e3 = op(e4,e0)
| ~ spl24_124 ),
inference(avatar_component_clause,[],[f983]) ).
fof(f983,plain,
( spl24_124
<=> e3 = op(e4,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl24_124])]) ).
fof(f1720,plain,
( ~ spl24_134
| ~ spl24_136 ),
inference(avatar_contradiction_clause,[],[f1719]) ).
fof(f1719,plain,
( $false
| ~ spl24_134
| ~ spl24_136 ),
inference(subsumption_resolution,[],[f1718,f162]) ).
fof(f1718,plain,
( e0 = e1
| ~ spl24_134
| ~ spl24_136 ),
inference(forward_demodulation,[],[f1034,f1045]) ).
fof(f1045,plain,
( e0 = op(e3,e4)
| ~ spl24_136 ),
inference(avatar_component_clause,[],[f1043]) ).
fof(f1043,plain,
( spl24_136
<=> e0 = op(e3,e4) ),
introduced(avatar_definition,[new_symbols(naming,[spl24_136])]) ).
fof(f1692,plain,
( ~ spl24_133
| ~ spl24_186 ),
inference(avatar_split_clause,[],[f1689,f1285,f1028]) ).
fof(f1028,plain,
( spl24_133
<=> e1 = op(e0,e4) ),
introduced(avatar_definition,[new_symbols(naming,[spl24_133])]) ).
fof(f1689,plain,
( e1 != op(e0,e4)
| ~ spl24_186 ),
inference(backward_demodulation,[],[f228,f1287]) ).
fof(f228,plain,
op(e0,e1) != op(e0,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f1681,plain,
( ~ spl24_161
| ~ spl24_110 ),
inference(avatar_split_clause,[],[f1680,f890,f1159]) ).
fof(f1159,plain,
( spl24_161
<=> e0 = op(e3,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl24_161])]) ).
fof(f1680,plain,
( e0 != op(e3,e1)
| ~ spl24_110 ),
inference(forward_demodulation,[],[f187,f891]) ).
fof(f187,plain,
op(e1,e1) != op(e3,e1),
inference(cnf_transformation,[],[f4]) ).
fof(f1579,plain,
~ spl24_97,
inference(avatar_contradiction_clause,[],[f1578]) ).
fof(f1578,plain,
( $false
| ~ spl24_97 ),
inference(subsumption_resolution,[],[f1577,f169]) ).
fof(f1577,plain,
( e2 = e3
| ~ spl24_97 ),
inference(backward_demodulation,[],[f161,f833]) ).
fof(f833,plain,
( e2 = op(e2,e4)
| ~ spl24_97 ),
inference(avatar_component_clause,[],[f831]) ).
fof(f831,plain,
( spl24_97
<=> e2 = op(e2,e4) ),
introduced(avatar_definition,[new_symbols(naming,[spl24_97])]) ).
fof(f1569,plain,
( ~ spl24_171
| ~ spl24_103 ),
inference(avatar_split_clause,[],[f1565,f858,f1211]) ).
fof(f1211,plain,
( spl24_171
<=> e2 = op(e2,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl24_171])]) ).
fof(f1565,plain,
( e2 != op(e2,e2)
| ~ spl24_103 ),
inference(backward_demodulation,[],[f243,f860]) ).
fof(f243,plain,
op(e2,e0) != op(e2,e2),
inference(cnf_transformation,[],[f4]) ).
fof(f1568,plain,
( ~ spl24_101
| ~ spl24_103 ),
inference(avatar_split_clause,[],[f1564,f858,f849]) ).
fof(f849,plain,
( spl24_101
<=> e2 = op(e2,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl24_101])]) ).
fof(f1564,plain,
( e2 != op(e2,e1)
| ~ spl24_103 ),
inference(backward_demodulation,[],[f242,f860]) ).
fof(f242,plain,
op(e2,e0) != op(e2,e1),
inference(cnf_transformation,[],[f4]) ).
fof(f1553,plain,
( ~ spl24_158
| ~ spl24_110 ),
inference(avatar_split_clause,[],[f1550,f890,f1146]) ).
fof(f1146,plain,
( spl24_158
<=> e0 = op(e1,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl24_158])]) ).
fof(f1550,plain,
( e0 != op(e1,e3)
| ~ spl24_110 ),
inference(backward_demodulation,[],[f237,f891]) ).
fof(f237,plain,
op(e1,e1) != op(e1,e3),
inference(cnf_transformation,[],[f4]) ).
fof(f1551,plain,
( ~ spl24_178
| ~ spl24_110 ),
inference(avatar_split_clause,[],[f1548,f890,f1243]) ).
fof(f1243,plain,
( spl24_178
<=> e0 = op(e2,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl24_178])]) ).
fof(f1548,plain,
( e0 != op(e2,e1)
| ~ spl24_110 ),
inference(backward_demodulation,[],[f186,f891]) ).
fof(f186,plain,
op(e1,e1) != op(e2,e1),
inference(cnf_transformation,[],[f4]) ).
fof(f1547,plain,
( ~ spl24_107
| ~ spl24_111 ),
inference(avatar_split_clause,[],[f1543,f894,f876]) ).
fof(f1543,plain,
( e1 != op(e1,e3)
| ~ spl24_111 ),
inference(backward_demodulation,[],[f234,f896]) ).
fof(f234,plain,
op(e1,e0) != op(e1,e3),
inference(cnf_transformation,[],[f4]) ).
fof(f1477,plain,
( ~ spl24_146
| ~ spl24_126 ),
inference(avatar_split_clause,[],[f1472,f991,f1090]) ).
fof(f991,plain,
( spl24_126
<=> e3 = op(e4,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl24_126])]) ).
fof(f1472,plain,
( e3 != op(e0,e3)
| ~ spl24_126 ),
inference(backward_demodulation,[],[f205,f993]) ).
fof(f993,plain,
( e3 = op(e4,e3)
| ~ spl24_126 ),
inference(avatar_component_clause,[],[f991]) ).
fof(f205,plain,
op(e0,e3) != op(e4,e3),
inference(cnf_transformation,[],[f4]) ).
fof(f1470,plain,
( ~ spl24_108
| ~ spl24_128 ),
inference(avatar_split_clause,[],[f1463,f1002,f881]) ).
fof(f881,plain,
( spl24_108
<=> e2 = op(e1,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl24_108])]) ).
fof(f1463,plain,
( e2 != op(e1,e1)
| ~ spl24_128 ),
inference(backward_demodulation,[],[f238,f1004]) ).
fof(f1468,plain,
( ~ spl24_82
| ~ spl24_128 ),
inference(avatar_split_clause,[],[f1461,f1002,f764]) ).
fof(f764,plain,
( spl24_82
<=> e2 = op(e4,e4) ),
introduced(avatar_definition,[new_symbols(naming,[spl24_82])]) ).
fof(f1461,plain,
( e2 != op(e4,e4)
| ~ spl24_128 ),
inference(backward_demodulation,[],[f218,f1004]) ).
fof(f218,plain,
op(e1,e4) != op(e4,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f1387,plain,
( spl24_103
| ~ spl24_190 ),
inference(avatar_split_clause,[],[f1377,f1319,f858]) ).
fof(f1377,plain,
( e2 = op(e2,e0)
| ~ spl24_190 ),
inference(backward_demodulation,[],[f327,f1321]) ).
fof(f327,plain,
e2 = op(e2,unit),
inference(cnf_transformation,[],[f2]) ).
fof(f1386,plain,
( spl24_169
| ~ spl24_190 ),
inference(avatar_split_clause,[],[f1376,f1319,f1203]) ).
fof(f1376,plain,
( e2 = op(e0,e2)
| ~ spl24_190 ),
inference(backward_demodulation,[],[f326,f1321]) ).
fof(f1361,plain,
( spl24_158
| spl24_107
| spl24_150
| spl24_147
| spl24_141 ),
inference(avatar_split_clause,[],[f341,f1067,f1094,f1108,f876,f1146]) ).
fof(f341,plain,
( e4 = op(e1,e3)
| e3 = op(e1,e3)
| e2 = op(e1,e3)
| e1 = op(e1,e3)
| e0 = op(e1,e3) ),
inference(cnf_transformation,[],[f1]) ).
fof(f1,axiom,
( ( e4 = op(e4,e4)
| e3 = op(e4,e4)
| e2 = op(e4,e4)
| e1 = op(e4,e4)
| e0 = op(e4,e4) )
& ( e4 = op(e4,e3)
| e3 = op(e4,e3)
| e2 = op(e4,e3)
| e1 = op(e4,e3)
| e0 = op(e4,e3) )
& ( e4 = op(e4,e2)
| e3 = op(e4,e2)
| e2 = op(e4,e2)
| e1 = op(e4,e2)
| e0 = op(e4,e2) )
& ( e4 = op(e4,e1)
| e3 = op(e4,e1)
| e2 = op(e4,e1)
| e1 = op(e4,e1)
| e0 = op(e4,e1) )
& ( e4 = op(e4,e0)
| e3 = op(e4,e0)
| e2 = op(e4,e0)
| e1 = op(e4,e0)
| e0 = op(e4,e0) )
& ( e4 = op(e3,e4)
| e3 = op(e3,e4)
| e2 = op(e3,e4)
| e1 = op(e3,e4)
| e0 = op(e3,e4) )
& ( e4 = op(e3,e3)
| e3 = op(e3,e3)
| e2 = op(e3,e3)
| e1 = op(e3,e3)
| e0 = op(e3,e3) )
& ( e4 = op(e3,e2)
| e3 = op(e3,e2)
| e2 = op(e3,e2)
| e1 = op(e3,e2)
| e0 = op(e3,e2) )
& ( e4 = op(e3,e1)
| e3 = op(e3,e1)
| e2 = op(e3,e1)
| e1 = op(e3,e1)
| e0 = op(e3,e1) )
& ( e4 = op(e3,e0)
| e3 = op(e3,e0)
| e2 = op(e3,e0)
| e1 = op(e3,e0)
| e0 = op(e3,e0) )
& ( e4 = op(e2,e4)
| e3 = op(e2,e4)
| e2 = op(e2,e4)
| e1 = op(e2,e4)
| e0 = op(e2,e4) )
& ( e4 = op(e2,e3)
| e3 = op(e2,e3)
| e2 = op(e2,e3)
| e1 = op(e2,e3)
| e0 = op(e2,e3) )
& ( e4 = op(e2,e2)
| e3 = op(e2,e2)
| e2 = op(e2,e2)
| e1 = op(e2,e2)
| e0 = op(e2,e2) )
& ( e4 = op(e2,e1)
| e3 = op(e2,e1)
| e2 = op(e2,e1)
| e1 = op(e2,e1)
| e0 = op(e2,e1) )
& ( e4 = op(e2,e0)
| e3 = op(e2,e0)
| e2 = op(e2,e0)
| e1 = op(e2,e0)
| e0 = op(e2,e0) )
& ( e4 = op(e1,e4)
| e3 = op(e1,e4)
| e2 = op(e1,e4)
| e1 = op(e1,e4)
| e0 = op(e1,e4) )
& ( e4 = op(e1,e3)
| e3 = op(e1,e3)
| e2 = op(e1,e3)
| e1 = op(e1,e3)
| e0 = op(e1,e3) )
& ( e4 = op(e1,e2)
| e3 = op(e1,e2)
| e2 = op(e1,e2)
| e1 = op(e1,e2)
| e0 = op(e1,e2) )
& ( e4 = op(e1,e1)
| e3 = op(e1,e1)
| e2 = op(e1,e1)
| e1 = op(e1,e1)
| e0 = op(e1,e1) )
& ( e4 = op(e1,e0)
| e3 = op(e1,e0)
| e2 = op(e1,e0)
| e1 = op(e1,e0)
| e0 = op(e1,e0) )
& ( e4 = op(e0,e4)
| e3 = op(e0,e4)
| e2 = op(e0,e4)
| e1 = op(e0,e4)
| e0 = op(e0,e4) )
& ( e4 = op(e0,e3)
| e3 = op(e0,e3)
| e2 = op(e0,e3)
| e1 = op(e0,e3)
| e0 = op(e0,e3) )
& ( e4 = op(e0,e2)
| e3 = op(e0,e2)
| e2 = op(e0,e2)
| e1 = op(e0,e2)
| e0 = op(e0,e2) )
& ( e4 = op(e0,e1)
| e3 = op(e0,e1)
| e2 = op(e0,e1)
| e1 = op(e0,e1)
| e0 = op(e0,e1) )
& ( op(e0,e0) = e4
| op(e0,e0) = e3
| op(e0,e0) = e2
| op(e0,e0) = e1
| e0 = op(e0,e0) ) ),
file('/export/starexec/sandbox/tmp/tmp.JMgY3mHGzZ/Vampire---4.8_26625',ax1) ).
fof(f1360,plain,
( spl24_135
| spl24_105
| spl24_128
| spl24_121 ),
inference(avatar_split_clause,[],[f1359,f965,f1002,f867,f1039]) ).
fof(f1359,plain,
( e4 = op(e1,e4)
| e2 = op(e1,e4)
| e1 = op(e1,e4)
| e0 = op(e1,e4) ),
inference(subsumption_resolution,[],[f342,f950]) ).
fof(f950,plain,
e3 != op(e1,e4),
inference(forward_demodulation,[],[f216,f161]) ).
fof(f216,plain,
op(e1,e4) != op(e2,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f342,plain,
( e4 = op(e1,e4)
| e3 = op(e1,e4)
| e2 = op(e1,e4)
| e1 = op(e1,e4)
| e0 = op(e1,e4) ),
inference(cnf_transformation,[],[f1]) ).
fof(f1356,plain,
( spl24_178
| spl24_173
| spl24_101
| spl24_166 ),
inference(avatar_split_clause,[],[f1355,f1185,f849,f1221,f1243]) ).
fof(f1355,plain,
( e4 = op(e2,e1)
| e2 = op(e2,e1)
| e1 = op(e2,e1)
| e0 = op(e2,e1) ),
inference(subsumption_resolution,[],[f344,f944]) ).
fof(f344,plain,
( e4 = op(e2,e1)
| e3 = op(e2,e1)
| e2 = op(e2,e1)
| e1 = op(e2,e1)
| e0 = op(e2,e1) ),
inference(cnf_transformation,[],[f1]) ).
fof(f1354,plain,
( spl24_102
| spl24_100
| spl24_171
| spl24_98
| spl24_96 ),
inference(avatar_split_clause,[],[f345,f827,f836,f1211,f845,f854]) ).
fof(f845,plain,
( spl24_100
<=> e1 = op(e2,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl24_100])]) ).
fof(f836,plain,
( spl24_98
<=> e3 = op(e2,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl24_98])]) ).
fof(f827,plain,
( spl24_96
<=> e4 = op(e2,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl24_96])]) ).
fof(f345,plain,
( e4 = op(e2,e2)
| e3 = op(e2,e2)
| e2 = op(e2,e2)
| e1 = op(e2,e2)
| e0 = op(e2,e2) ),
inference(cnf_transformation,[],[f1]) ).
fof(f1353,plain,
( spl24_159
| spl24_155
| spl24_99
| spl24_142 ),
inference(avatar_split_clause,[],[f1352,f1071,f840,f1131,f1150]) ).
fof(f1352,plain,
( e4 = op(e2,e3)
| e2 = op(e2,e3)
| e1 = op(e2,e3)
| e0 = op(e2,e3) ),
inference(subsumption_resolution,[],[f346,f941]) ).
fof(f941,plain,
e3 != op(e2,e3),
inference(forward_demodulation,[],[f251,f161]) ).
fof(f251,plain,
op(e2,e3) != op(e2,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f346,plain,
( e4 = op(e2,e3)
| e3 = op(e2,e3)
| e2 = op(e2,e3)
| e1 = op(e2,e3)
| e0 = op(e2,e3) ),
inference(cnf_transformation,[],[f1]) ).
fof(f1338,plain,
( spl24_190
| spl24_191
| spl24_192
| spl24_193
| spl24_194 ),
inference(avatar_split_clause,[],[f332,f1335,f1331,f1327,f1323,f1319]) ).
fof(f332,plain,
( e4 = unit
| e3 = unit
| e2 = unit
| e1 = unit
| e0 = unit ),
inference(cnf_transformation,[],[f2]) ).
fof(f1277,plain,
( spl24_184
| spl24_108
| spl24_101
| spl24_152
| spl24_131 ),
inference(avatar_split_clause,[],[f287,f1017,f1117,f849,f881,f1274]) ).
fof(f287,plain,
( e2 = op(e4,e1)
| e2 = op(e3,e1)
| e2 = op(e2,e1)
| e2 = op(e1,e1)
| e2 = op(e0,e1) ),
inference(cnf_transformation,[],[f3]) ).
fof(f3,axiom,
( ( e4 = op(e4,e4)
| e4 = op(e3,e4)
| e4 = op(e2,e4)
| e4 = op(e1,e4)
| e4 = op(e0,e4) )
& ( e4 = op(e4,e4)
| e4 = op(e4,e3)
| e4 = op(e4,e2)
| e4 = op(e4,e1)
| e4 = op(e4,e0) )
& ( e3 = op(e4,e4)
| e3 = op(e3,e4)
| e3 = op(e2,e4)
| e3 = op(e1,e4)
| e3 = op(e0,e4) )
& ( e3 = op(e4,e4)
| e3 = op(e4,e3)
| e3 = op(e4,e2)
| e3 = op(e4,e1)
| e3 = op(e4,e0) )
& ( e2 = op(e4,e4)
| e2 = op(e3,e4)
| e2 = op(e2,e4)
| e2 = op(e1,e4)
| e2 = op(e0,e4) )
& ( e2 = op(e4,e4)
| e2 = op(e4,e3)
| e2 = op(e4,e2)
| e2 = op(e4,e1)
| e2 = op(e4,e0) )
& ( e1 = op(e4,e4)
| e1 = op(e3,e4)
| e1 = op(e2,e4)
| e1 = op(e1,e4)
| e1 = op(e0,e4) )
& ( e1 = op(e4,e4)
| e1 = op(e4,e3)
| e1 = op(e4,e2)
| e1 = op(e4,e1)
| e1 = op(e4,e0) )
& ( e0 = op(e4,e4)
| e0 = op(e3,e4)
| e0 = op(e2,e4)
| e0 = op(e1,e4)
| e0 = op(e0,e4) )
& ( e0 = op(e4,e4)
| e0 = op(e4,e3)
| e0 = op(e4,e2)
| e0 = op(e4,e1)
| e0 = op(e4,e0) )
& ( e4 = op(e4,e3)
| e4 = op(e3,e3)
| e4 = op(e2,e3)
| e4 = op(e1,e3)
| e4 = op(e0,e3) )
& ( e4 = op(e3,e4)
| e4 = op(e3,e3)
| e4 = op(e3,e2)
| e4 = op(e3,e1)
| e4 = op(e3,e0) )
& ( e3 = op(e4,e3)
| e3 = op(e3,e3)
| e3 = op(e2,e3)
| e3 = op(e1,e3)
| e3 = op(e0,e3) )
& ( e3 = op(e3,e4)
| e3 = op(e3,e3)
| e3 = op(e3,e2)
| e3 = op(e3,e1)
| e3 = op(e3,e0) )
& ( e2 = op(e4,e3)
| e2 = op(e3,e3)
| e2 = op(e2,e3)
| e2 = op(e1,e3)
| e2 = op(e0,e3) )
& ( e2 = op(e3,e4)
| e2 = op(e3,e3)
| e2 = op(e3,e2)
| e2 = op(e3,e1)
| e2 = op(e3,e0) )
& ( e1 = op(e4,e3)
| e1 = op(e3,e3)
| e1 = op(e2,e3)
| e1 = op(e1,e3)
| e1 = op(e0,e3) )
& ( e1 = op(e3,e4)
| e1 = op(e3,e3)
| e1 = op(e3,e2)
| e1 = op(e3,e1)
| e1 = op(e3,e0) )
& ( e0 = op(e4,e3)
| e0 = op(e3,e3)
| e0 = op(e2,e3)
| e0 = op(e1,e3)
| e0 = op(e0,e3) )
& ( e0 = op(e3,e4)
| e0 = op(e3,e3)
| e0 = op(e3,e2)
| e0 = op(e3,e1)
| e0 = op(e3,e0) )
& ( e4 = op(e4,e2)
| e4 = op(e3,e2)
| e4 = op(e2,e2)
| e4 = op(e1,e2)
| e4 = op(e0,e2) )
& ( e4 = op(e2,e4)
| e4 = op(e2,e3)
| e4 = op(e2,e2)
| e4 = op(e2,e1)
| e4 = op(e2,e0) )
& ( e3 = op(e4,e2)
| e3 = op(e3,e2)
| e3 = op(e2,e2)
| e3 = op(e1,e2)
| e3 = op(e0,e2) )
& ( e3 = op(e2,e4)
| e3 = op(e2,e3)
| e3 = op(e2,e2)
| e3 = op(e2,e1)
| e3 = op(e2,e0) )
& ( e2 = op(e4,e2)
| e2 = op(e3,e2)
| e2 = op(e2,e2)
| e2 = op(e1,e2)
| e2 = op(e0,e2) )
& ( e2 = op(e2,e4)
| e2 = op(e2,e3)
| e2 = op(e2,e2)
| e2 = op(e2,e1)
| e2 = op(e2,e0) )
& ( e1 = op(e4,e2)
| e1 = op(e3,e2)
| e1 = op(e2,e2)
| e1 = op(e1,e2)
| e1 = op(e0,e2) )
& ( e1 = op(e2,e4)
| e1 = op(e2,e3)
| e1 = op(e2,e2)
| e1 = op(e2,e1)
| e1 = op(e2,e0) )
& ( e0 = op(e4,e2)
| e0 = op(e3,e2)
| e0 = op(e2,e2)
| e0 = op(e1,e2)
| e0 = op(e0,e2) )
& ( e0 = op(e2,e4)
| e0 = op(e2,e3)
| e0 = op(e2,e2)
| e0 = op(e2,e1)
| e0 = op(e2,e0) )
& ( e4 = op(e4,e1)
| e4 = op(e3,e1)
| e4 = op(e2,e1)
| e4 = op(e1,e1)
| e4 = op(e0,e1) )
& ( e4 = op(e1,e4)
| e4 = op(e1,e3)
| e4 = op(e1,e2)
| e4 = op(e1,e1)
| e4 = op(e1,e0) )
& ( e3 = op(e4,e1)
| e3 = op(e3,e1)
| e3 = op(e2,e1)
| e3 = op(e1,e1)
| e3 = op(e0,e1) )
& ( e3 = op(e1,e4)
| e3 = op(e1,e3)
| e3 = op(e1,e2)
| e3 = op(e1,e1)
| e3 = op(e1,e0) )
& ( e2 = op(e4,e1)
| e2 = op(e3,e1)
| e2 = op(e2,e1)
| e2 = op(e1,e1)
| e2 = op(e0,e1) )
& ( e2 = op(e1,e4)
| e2 = op(e1,e3)
| e2 = op(e1,e2)
| e2 = op(e1,e1)
| e2 = op(e1,e0) )
& ( e1 = op(e4,e1)
| e1 = op(e3,e1)
| e1 = op(e2,e1)
| e1 = op(e1,e1)
| e1 = op(e0,e1) )
& ( e1 = op(e1,e4)
| e1 = op(e1,e3)
| e1 = op(e1,e2)
| e1 = op(e1,e1)
| e1 = op(e1,e0) )
& ( e0 = op(e4,e1)
| e0 = op(e3,e1)
| e0 = op(e2,e1)
| e0 = op(e1,e1)
| e0 = op(e0,e1) )
& ( e0 = op(e1,e4)
| e0 = op(e1,e3)
| e0 = op(e1,e2)
| e0 = op(e1,e1)
| e0 = op(e1,e0) )
& ( e4 = op(e4,e0)
| e4 = op(e3,e0)
| e4 = op(e2,e0)
| e4 = op(e1,e0)
| op(e0,e0) = e4 )
& ( e4 = op(e0,e4)
| e4 = op(e0,e3)
| e4 = op(e0,e2)
| e4 = op(e0,e1)
| op(e0,e0) = e4 )
& ( e3 = op(e4,e0)
| e3 = op(e3,e0)
| e3 = op(e2,e0)
| e3 = op(e1,e0)
| op(e0,e0) = e3 )
& ( e3 = op(e0,e4)
| e3 = op(e0,e3)
| e3 = op(e0,e2)
| e3 = op(e0,e1)
| op(e0,e0) = e3 )
& ( e2 = op(e4,e0)
| e2 = op(e3,e0)
| e2 = op(e2,e0)
| e2 = op(e1,e0)
| op(e0,e0) = e2 )
& ( e2 = op(e0,e4)
| e2 = op(e0,e3)
| e2 = op(e0,e2)
| e2 = op(e0,e1)
| op(e0,e0) = e2 )
& ( e1 = op(e4,e0)
| e1 = op(e3,e0)
| e1 = op(e2,e0)
| e1 = op(e1,e0)
| op(e0,e0) = e1 )
& ( e1 = op(e0,e4)
| e1 = op(e0,e3)
| e1 = op(e0,e2)
| e1 = op(e0,e1)
| op(e0,e0) = e1 )
& ( e0 = op(e4,e0)
| e0 = op(e3,e0)
| e0 = op(e2,e0)
| e0 = op(e1,e0)
| e0 = op(e0,e0) )
& ( e0 = op(e0,e4)
| e0 = op(e0,e3)
| e0 = op(e0,e2)
| e0 = op(e0,e1)
| e0 = op(e0,e0) ) ),
file('/export/starexec/sandbox/tmp/tmp.JMgY3mHGzZ/Vampire---4.8_26625',ax3) ).
fof(f1199,plain,
( spl24_167
| spl24_168
| spl24_98
| spl24_91 ),
inference(avatar_split_clause,[],[f1190,f804,f836,f1196,f1192]) ).
fof(f1190,plain,
( e3 = op(e3,e2)
| e3 = op(e2,e2)
| e3 = op(e1,e2)
| e3 = op(e0,e2) ),
inference(subsumption_resolution,[],[f1189,f167]) ).
fof(f1189,plain,
( e1 = e3
| e3 = op(e3,e2)
| e3 = op(e2,e2)
| e3 = op(e1,e2)
| e3 = op(e0,e2) ),
inference(forward_demodulation,[],[f299,f160]) ).
fof(f299,plain,
( e3 = op(e4,e2)
| e3 = op(e3,e2)
| e3 = op(e2,e2)
| e3 = op(e1,e2)
| e3 = op(e0,e2) ),
inference(cnf_transformation,[],[f3]) ).
fof(f1177,plain,
( spl24_163
| spl24_164
| spl24_96
| spl24_145 ),
inference(avatar_split_clause,[],[f1168,f1084,f827,f1174,f1170]) ).
fof(f1168,plain,
( e4 = op(e3,e2)
| e4 = op(e2,e2)
| e4 = op(e1,e2)
| e4 = op(e0,e2) ),
inference(subsumption_resolution,[],[f1167,f168]) ).
fof(f1167,plain,
( e1 = e4
| e4 = op(e3,e2)
| e4 = op(e2,e2)
| e4 = op(e1,e2)
| e4 = op(e0,e2) ),
inference(forward_demodulation,[],[f301,f160]) ).
fof(f301,plain,
( e4 = op(e4,e2)
| e4 = op(e3,e2)
| e4 = op(e2,e2)
| e4 = op(e1,e2)
| e4 = op(e0,e2) ),
inference(cnf_transformation,[],[f3]) ).
fof(f1166,plain,
( spl24_160
| spl24_161
| spl24_162
| spl24_94
| spl24_136 ),
inference(avatar_split_clause,[],[f302,f1043,f818,f1163,f1159,f1155]) ).
fof(f302,plain,
( e0 = op(e3,e4)
| e0 = op(e3,e3)
| e0 = op(e3,e2)
| e0 = op(e3,e1)
| e0 = op(e3,e0) ),
inference(cnf_transformation,[],[f3]) ).
fof(f1035,plain,
( spl24_133
| spl24_105
| spl24_134
| spl24_84 ),
inference(avatar_split_clause,[],[f1026,f773,f1032,f867,f1028]) ).
fof(f773,plain,
( spl24_84
<=> e1 = op(e4,e4) ),
introduced(avatar_definition,[new_symbols(naming,[spl24_84])]) ).
fof(f1026,plain,
( e1 = op(e4,e4)
| e1 = op(e3,e4)
| e1 = op(e1,e4)
| e1 = op(e0,e4) ),
inference(subsumption_resolution,[],[f1025,f167]) ).
fof(f1025,plain,
( e1 = e3
| e1 = op(e4,e4)
| e1 = op(e3,e4)
| e1 = op(e1,e4)
| e1 = op(e0,e4) ),
inference(forward_demodulation,[],[f315,f161]) ).
fof(f315,plain,
( e1 = op(e4,e4)
| e1 = op(e3,e4)
| e1 = op(e2,e4)
| e1 = op(e1,e4)
| e1 = op(e0,e4) ),
inference(cnf_transformation,[],[f3]) ).
fof(f1024,plain,
( spl24_130
| spl24_131
| spl24_132
| spl24_82 ),
inference(avatar_split_clause,[],[f1011,f764,f1021,f1017,f1013]) ).
fof(f1011,plain,
( e2 = op(e4,e4)
| e2 = op(e4,e3)
| e2 = op(e4,e1)
| e2 = op(e4,e0) ),
inference(subsumption_resolution,[],[f1010,f166]) ).
fof(f1010,plain,
( e1 = e2
| e2 = op(e4,e4)
| e2 = op(e4,e3)
| e2 = op(e4,e1)
| e2 = op(e4,e0) ),
inference(forward_demodulation,[],[f316,f160]) ).
fof(f316,plain,
( e2 = op(e4,e4)
| e2 = op(e4,e3)
| e2 = op(e4,e2)
| e2 = op(e4,e1)
| e2 = op(e4,e0) ),
inference(cnf_transformation,[],[f3]) ).
fof(f994,plain,
( spl24_124
| spl24_125
| spl24_126
| spl24_80 ),
inference(avatar_split_clause,[],[f981,f755,f991,f987,f983]) ).
fof(f755,plain,
( spl24_80
<=> e3 = op(e4,e4) ),
introduced(avatar_definition,[new_symbols(naming,[spl24_80])]) ).
fof(f981,plain,
( e3 = op(e4,e4)
| e3 = op(e4,e3)
| e3 = op(e4,e1)
| e3 = op(e4,e0) ),
inference(subsumption_resolution,[],[f980,f167]) ).
fof(f980,plain,
( e1 = e3
| e3 = op(e4,e4)
| e3 = op(e4,e3)
| e3 = op(e4,e1)
| e3 = op(e4,e0) ),
inference(forward_demodulation,[],[f318,f160]) ).
fof(f318,plain,
( e3 = op(e4,e4)
| e3 = op(e4,e3)
| e3 = op(e4,e2)
| e3 = op(e4,e1)
| e3 = op(e4,e0) ),
inference(cnf_transformation,[],[f3]) ).
fof(f954,plain,
~ spl24_100,
inference(avatar_split_clause,[],[f953,f845]) ).
fof(f953,plain,
e1 != op(e2,e2),
inference(forward_demodulation,[],[f200,f160]) ).
fof(f200,plain,
op(e2,e2) != op(e4,e2),
inference(cnf_transformation,[],[f4]) ).
fof(f947,plain,
~ spl24_80,
inference(avatar_split_clause,[],[f946,f755]) ).
fof(f946,plain,
e3 != op(e4,e4),
inference(forward_demodulation,[],[f220,f161]) ).
fof(f220,plain,
op(e2,e4) != op(e4,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f943,plain,
~ spl24_98,
inference(avatar_split_clause,[],[f942,f836]) ).
fof(f942,plain,
e3 != op(e2,e2),
inference(forward_demodulation,[],[f250,f161]) ).
fof(f250,plain,
op(e2,e2) != op(e2,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f937,plain,
~ spl24_84,
inference(avatar_split_clause,[],[f936,f773]) ).
fof(f936,plain,
e1 != op(e4,e4),
inference(forward_demodulation,[],[f270,f160]) ).
fof(f270,plain,
op(e4,e2) != op(e4,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f935,plain,
spl24_110,
inference(avatar_split_clause,[],[f934,f890]) ).
fof(f934,plain,
e0 = op(e1,e1),
inference(forward_demodulation,[],[f159,f160]) ).
fof(f159,plain,
e0 = op(op(e4,e2),op(e4,e2)),
inference(cnf_transformation,[],[f6]) ).
fof(f897,plain,
( ~ spl24_110
| spl24_111 ),
inference(avatar_split_clause,[],[f136,f894,f890]) ).
fof(f136,plain,
( e1 = op(e1,e0)
| e0 != op(e1,e1) ),
inference(cnf_transformation,[],[f34]) ).
fof(f34,plain,
( ( ( e4 != op(op(e4,e4),e4)
& e4 = op(op(e4,e4),e4)
& op(e4,e4) != op(e4,e4) )
| sP23
| sP22
| sP21
| sP20
| sP19
| sP18
| sP17
| sP16
| sP15
| sP14
| sP13
| sP12
| sP11
| sP10
| sP9
| sP8
| sP7
| sP6
| sP5
| sP4
| sP3
| sP2
| sP1
| sP0 )
& ( e4 = op(e4,e4)
| e4 != op(e4,e4) )
& ( e4 = op(e4,e3)
| e3 != op(e4,e4) )
& ( e4 = op(e4,e2)
| e2 != op(e4,e4) )
& ( e4 = op(e4,e1)
| e1 != op(e4,e4) )
& ( e4 = op(e4,e0)
| e0 != op(e4,e4) )
& ( e3 = op(e3,e4)
| e4 != op(e3,e3) )
& ( e3 = op(e3,e3)
| e3 != op(e3,e3) )
& ( e3 = op(e3,e2)
| e2 != op(e3,e3) )
& ( e3 = op(e3,e1)
| e1 != op(e3,e3) )
& ( e3 = op(e3,e0)
| e0 != op(e3,e3) )
& ( e2 = op(e2,e4)
| e4 != op(e2,e2) )
& ( e2 = op(e2,e3)
| e3 != op(e2,e2) )
& ( e2 = op(e2,e2)
| e2 != op(e2,e2) )
& ( e2 = op(e2,e1)
| e1 != op(e2,e2) )
& ( e2 = op(e2,e0)
| e0 != op(e2,e2) )
& ( e1 = op(e1,e4)
| e4 != op(e1,e1) )
& ( e1 = op(e1,e3)
| e3 != op(e1,e1) )
& ( e1 = op(e1,e2)
| e2 != op(e1,e1) )
& ( e1 = op(e1,e1)
| e1 != op(e1,e1) )
& ( e1 = op(e1,e0)
| e0 != op(e1,e1) )
& ( e0 = op(e0,e4)
| op(e0,e0) != e4 )
& ( e0 = op(e0,e3)
| op(e0,e0) != e3 )
& ( e0 = op(e0,e2)
| op(e0,e0) != e2 )
& ( e0 = op(e0,e1)
| op(e0,e0) != e1 )
& ( e0 = op(e0,e0)
| e0 != op(e0,e0) ) ),
inference(definition_folding,[],[f9,f33,f32,f31,f30,f29,f28,f27,f26,f25,f24,f23,f22,f21,f20,f19,f18,f17,f16,f15,f14,f13,f12,f11,f10]) ).
fof(f10,plain,
( ( e0 != op(op(e0,e0),e0)
& e0 = op(op(e0,e0),e0)
& op(e0,e0) != op(e0,e0) )
| ~ sP0 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
fof(f11,plain,
( ( e1 != op(op(e0,e1),e0)
& e0 = op(op(e0,e1),e1)
& op(e0,e1) != op(e1,e0) )
| ~ sP1 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])]) ).
fof(f12,plain,
( ( e2 != op(op(e0,e2),e0)
& e0 = op(op(e0,e2),e2)
& op(e0,e2) != op(e2,e0) )
| ~ sP2 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP2])]) ).
fof(f13,plain,
( ( e3 != op(op(e0,e3),e0)
& e0 = op(op(e0,e3),e3)
& op(e0,e3) != op(e3,e0) )
| ~ sP3 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP3])]) ).
fof(f14,plain,
( ( e4 != op(op(e0,e4),e0)
& e0 = op(op(e0,e4),e4)
& op(e0,e4) != op(e4,e0) )
| ~ sP4 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP4])]) ).
fof(f15,plain,
( ( e0 != op(op(e1,e0),e1)
& e1 = op(op(e1,e0),e0)
& op(e0,e1) != op(e1,e0) )
| ~ sP5 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP5])]) ).
fof(f16,plain,
( ( e1 != op(op(e1,e1),e1)
& e1 = op(op(e1,e1),e1)
& op(e1,e1) != op(e1,e1) )
| ~ sP6 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP6])]) ).
fof(f17,plain,
( ( e2 != op(op(e1,e2),e1)
& e1 = op(op(e1,e2),e2)
& op(e1,e2) != op(e2,e1) )
| ~ sP7 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP7])]) ).
fof(f18,plain,
( ( e3 != op(op(e1,e3),e1)
& e1 = op(op(e1,e3),e3)
& op(e1,e3) != op(e3,e1) )
| ~ sP8 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP8])]) ).
fof(f19,plain,
( ( e4 != op(op(e1,e4),e1)
& e1 = op(op(e1,e4),e4)
& op(e1,e4) != op(e4,e1) )
| ~ sP9 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP9])]) ).
fof(f20,plain,
( ( e0 != op(op(e2,e0),e2)
& e2 = op(op(e2,e0),e0)
& op(e0,e2) != op(e2,e0) )
| ~ sP10 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP10])]) ).
fof(f21,plain,
( ( e1 != op(op(e2,e1),e2)
& e2 = op(op(e2,e1),e1)
& op(e1,e2) != op(e2,e1) )
| ~ sP11 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP11])]) ).
fof(f22,plain,
( ( e2 != op(op(e2,e2),e2)
& e2 = op(op(e2,e2),e2)
& op(e2,e2) != op(e2,e2) )
| ~ sP12 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP12])]) ).
fof(f23,plain,
( ( e3 != op(op(e2,e3),e2)
& e2 = op(op(e2,e3),e3)
& op(e2,e3) != op(e3,e2) )
| ~ sP13 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP13])]) ).
fof(f24,plain,
( ( e4 != op(op(e2,e4),e2)
& e2 = op(op(e2,e4),e4)
& op(e2,e4) != op(e4,e2) )
| ~ sP14 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP14])]) ).
fof(f25,plain,
( ( e0 != op(op(e3,e0),e3)
& e3 = op(op(e3,e0),e0)
& op(e0,e3) != op(e3,e0) )
| ~ sP15 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP15])]) ).
fof(f26,plain,
( ( e1 != op(op(e3,e1),e3)
& e3 = op(op(e3,e1),e1)
& op(e1,e3) != op(e3,e1) )
| ~ sP16 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP16])]) ).
fof(f27,plain,
( ( e2 != op(op(e3,e2),e3)
& e3 = op(op(e3,e2),e2)
& op(e2,e3) != op(e3,e2) )
| ~ sP17 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP17])]) ).
fof(f28,plain,
( ( e3 != op(op(e3,e3),e3)
& e3 = op(op(e3,e3),e3)
& op(e3,e3) != op(e3,e3) )
| ~ sP18 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP18])]) ).
fof(f29,plain,
( ( e4 != op(op(e3,e4),e3)
& e3 = op(op(e3,e4),e4)
& op(e3,e4) != op(e4,e3) )
| ~ sP19 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP19])]) ).
fof(f30,plain,
( ( e0 != op(op(e4,e0),e4)
& e4 = op(op(e4,e0),e0)
& op(e0,e4) != op(e4,e0) )
| ~ sP20 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP20])]) ).
fof(f31,plain,
( ( e1 != op(op(e4,e1),e4)
& e4 = op(op(e4,e1),e1)
& op(e1,e4) != op(e4,e1) )
| ~ sP21 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP21])]) ).
fof(f32,plain,
( ( e2 != op(op(e4,e2),e4)
& e4 = op(op(e4,e2),e2)
& op(e2,e4) != op(e4,e2) )
| ~ sP22 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP22])]) ).
fof(f33,plain,
( ( e3 != op(op(e4,e3),e4)
& e4 = op(op(e4,e3),e3)
& op(e3,e4) != op(e4,e3) )
| ~ sP23 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP23])]) ).
fof(f9,plain,
( ( ( e4 != op(op(e4,e4),e4)
& e4 = op(op(e4,e4),e4)
& op(e4,e4) != op(e4,e4) )
| ( e3 != op(op(e4,e3),e4)
& e4 = op(op(e4,e3),e3)
& op(e3,e4) != op(e4,e3) )
| ( e2 != op(op(e4,e2),e4)
& e4 = op(op(e4,e2),e2)
& op(e2,e4) != op(e4,e2) )
| ( e1 != op(op(e4,e1),e4)
& e4 = op(op(e4,e1),e1)
& op(e1,e4) != op(e4,e1) )
| ( e0 != op(op(e4,e0),e4)
& e4 = op(op(e4,e0),e0)
& op(e0,e4) != op(e4,e0) )
| ( e4 != op(op(e3,e4),e3)
& e3 = op(op(e3,e4),e4)
& op(e3,e4) != op(e4,e3) )
| ( e3 != op(op(e3,e3),e3)
& e3 = op(op(e3,e3),e3)
& op(e3,e3) != op(e3,e3) )
| ( e2 != op(op(e3,e2),e3)
& e3 = op(op(e3,e2),e2)
& op(e2,e3) != op(e3,e2) )
| ( e1 != op(op(e3,e1),e3)
& e3 = op(op(e3,e1),e1)
& op(e1,e3) != op(e3,e1) )
| ( e0 != op(op(e3,e0),e3)
& e3 = op(op(e3,e0),e0)
& op(e0,e3) != op(e3,e0) )
| ( e4 != op(op(e2,e4),e2)
& e2 = op(op(e2,e4),e4)
& op(e2,e4) != op(e4,e2) )
| ( e3 != op(op(e2,e3),e2)
& e2 = op(op(e2,e3),e3)
& op(e2,e3) != op(e3,e2) )
| ( e2 != op(op(e2,e2),e2)
& e2 = op(op(e2,e2),e2)
& op(e2,e2) != op(e2,e2) )
| ( e1 != op(op(e2,e1),e2)
& e2 = op(op(e2,e1),e1)
& op(e1,e2) != op(e2,e1) )
| ( e0 != op(op(e2,e0),e2)
& e2 = op(op(e2,e0),e0)
& op(e0,e2) != op(e2,e0) )
| ( e4 != op(op(e1,e4),e1)
& e1 = op(op(e1,e4),e4)
& op(e1,e4) != op(e4,e1) )
| ( e3 != op(op(e1,e3),e1)
& e1 = op(op(e1,e3),e3)
& op(e1,e3) != op(e3,e1) )
| ( e2 != op(op(e1,e2),e1)
& e1 = op(op(e1,e2),e2)
& op(e1,e2) != op(e2,e1) )
| ( e1 != op(op(e1,e1),e1)
& e1 = op(op(e1,e1),e1)
& op(e1,e1) != op(e1,e1) )
| ( e0 != op(op(e1,e0),e1)
& e1 = op(op(e1,e0),e0)
& op(e0,e1) != op(e1,e0) )
| ( e4 != op(op(e0,e4),e0)
& e0 = op(op(e0,e4),e4)
& op(e0,e4) != op(e4,e0) )
| ( e3 != op(op(e0,e3),e0)
& e0 = op(op(e0,e3),e3)
& op(e0,e3) != op(e3,e0) )
| ( e2 != op(op(e0,e2),e0)
& e0 = op(op(e0,e2),e2)
& op(e0,e2) != op(e2,e0) )
| ( e1 != op(op(e0,e1),e0)
& e0 = op(op(e0,e1),e1)
& op(e0,e1) != op(e1,e0) )
| ( e0 != op(op(e0,e0),e0)
& e0 = op(op(e0,e0),e0)
& op(e0,e0) != op(e0,e0) ) )
& ( e4 = op(e4,e4)
| e4 != op(e4,e4) )
& ( e4 = op(e4,e3)
| e3 != op(e4,e4) )
& ( e4 = op(e4,e2)
| e2 != op(e4,e4) )
& ( e4 = op(e4,e1)
| e1 != op(e4,e4) )
& ( e4 = op(e4,e0)
| e0 != op(e4,e4) )
& ( e3 = op(e3,e4)
| e4 != op(e3,e3) )
& ( e3 = op(e3,e3)
| e3 != op(e3,e3) )
& ( e3 = op(e3,e2)
| e2 != op(e3,e3) )
& ( e3 = op(e3,e1)
| e1 != op(e3,e3) )
& ( e3 = op(e3,e0)
| e0 != op(e3,e3) )
& ( e2 = op(e2,e4)
| e4 != op(e2,e2) )
& ( e2 = op(e2,e3)
| e3 != op(e2,e2) )
& ( e2 = op(e2,e2)
| e2 != op(e2,e2) )
& ( e2 = op(e2,e1)
| e1 != op(e2,e2) )
& ( e2 = op(e2,e0)
| e0 != op(e2,e2) )
& ( e1 = op(e1,e4)
| e4 != op(e1,e1) )
& ( e1 = op(e1,e3)
| e3 != op(e1,e1) )
& ( e1 = op(e1,e2)
| e2 != op(e1,e1) )
& ( e1 = op(e1,e1)
| e1 != op(e1,e1) )
& ( e1 = op(e1,e0)
| e0 != op(e1,e1) )
& ( e0 = op(e0,e4)
| op(e0,e0) != e4 )
& ( e0 = op(e0,e3)
| op(e0,e0) != e3 )
& ( e0 = op(e0,e2)
| op(e0,e0) != e2 )
& ( e0 = op(e0,e1)
| op(e0,e0) != e1 )
& ( e0 = op(e0,e0)
| e0 != op(e0,e0) ) ),
inference(flattening,[],[f8]) ).
fof(f8,negated_conjecture,
~ ~ ( ( ( e4 != op(op(e4,e4),e4)
& e4 = op(op(e4,e4),e4)
& op(e4,e4) != op(e4,e4) )
| ( e3 != op(op(e4,e3),e4)
& e4 = op(op(e4,e3),e3)
& op(e3,e4) != op(e4,e3) )
| ( e2 != op(op(e4,e2),e4)
& e4 = op(op(e4,e2),e2)
& op(e2,e4) != op(e4,e2) )
| ( e1 != op(op(e4,e1),e4)
& e4 = op(op(e4,e1),e1)
& op(e1,e4) != op(e4,e1) )
| ( e0 != op(op(e4,e0),e4)
& e4 = op(op(e4,e0),e0)
& op(e0,e4) != op(e4,e0) )
| ( e4 != op(op(e3,e4),e3)
& e3 = op(op(e3,e4),e4)
& op(e3,e4) != op(e4,e3) )
| ( e3 != op(op(e3,e3),e3)
& e3 = op(op(e3,e3),e3)
& op(e3,e3) != op(e3,e3) )
| ( e2 != op(op(e3,e2),e3)
& e3 = op(op(e3,e2),e2)
& op(e2,e3) != op(e3,e2) )
| ( e1 != op(op(e3,e1),e3)
& e3 = op(op(e3,e1),e1)
& op(e1,e3) != op(e3,e1) )
| ( e0 != op(op(e3,e0),e3)
& e3 = op(op(e3,e0),e0)
& op(e0,e3) != op(e3,e0) )
| ( e4 != op(op(e2,e4),e2)
& e2 = op(op(e2,e4),e4)
& op(e2,e4) != op(e4,e2) )
| ( e3 != op(op(e2,e3),e2)
& e2 = op(op(e2,e3),e3)
& op(e2,e3) != op(e3,e2) )
| ( e2 != op(op(e2,e2),e2)
& e2 = op(op(e2,e2),e2)
& op(e2,e2) != op(e2,e2) )
| ( e1 != op(op(e2,e1),e2)
& e2 = op(op(e2,e1),e1)
& op(e1,e2) != op(e2,e1) )
| ( e0 != op(op(e2,e0),e2)
& e2 = op(op(e2,e0),e0)
& op(e0,e2) != op(e2,e0) )
| ( e4 != op(op(e1,e4),e1)
& e1 = op(op(e1,e4),e4)
& op(e1,e4) != op(e4,e1) )
| ( e3 != op(op(e1,e3),e1)
& e1 = op(op(e1,e3),e3)
& op(e1,e3) != op(e3,e1) )
| ( e2 != op(op(e1,e2),e1)
& e1 = op(op(e1,e2),e2)
& op(e1,e2) != op(e2,e1) )
| ( e1 != op(op(e1,e1),e1)
& e1 = op(op(e1,e1),e1)
& op(e1,e1) != op(e1,e1) )
| ( e0 != op(op(e1,e0),e1)
& e1 = op(op(e1,e0),e0)
& op(e0,e1) != op(e1,e0) )
| ( e4 != op(op(e0,e4),e0)
& e0 = op(op(e0,e4),e4)
& op(e0,e4) != op(e4,e0) )
| ( e3 != op(op(e0,e3),e0)
& e0 = op(op(e0,e3),e3)
& op(e0,e3) != op(e3,e0) )
| ( e2 != op(op(e0,e2),e0)
& e0 = op(op(e0,e2),e2)
& op(e0,e2) != op(e2,e0) )
| ( e1 != op(op(e0,e1),e0)
& e0 = op(op(e0,e1),e1)
& op(e0,e1) != op(e1,e0) )
| ( e0 != op(op(e0,e0),e0)
& e0 = op(op(e0,e0),e0)
& op(e0,e0) != op(e0,e0) ) )
& ( e4 = op(e4,e4)
| e4 != op(e4,e4) )
& ( e4 = op(e4,e3)
| e3 != op(e4,e4) )
& ( e4 = op(e4,e2)
| e2 != op(e4,e4) )
& ( e4 = op(e4,e1)
| e1 != op(e4,e4) )
& ( e4 = op(e4,e0)
| e0 != op(e4,e4) )
& ( e3 = op(e3,e4)
| e4 != op(e3,e3) )
& ( e3 = op(e3,e3)
| e3 != op(e3,e3) )
& ( e3 = op(e3,e2)
| e2 != op(e3,e3) )
& ( e3 = op(e3,e1)
| e1 != op(e3,e3) )
& ( e3 = op(e3,e0)
| e0 != op(e3,e3) )
& ( e2 = op(e2,e4)
| e4 != op(e2,e2) )
& ( e2 = op(e2,e3)
| e3 != op(e2,e2) )
& ( e2 = op(e2,e2)
| e2 != op(e2,e2) )
& ( e2 = op(e2,e1)
| e1 != op(e2,e2) )
& ( e2 = op(e2,e0)
| e0 != op(e2,e2) )
& ( e1 = op(e1,e4)
| e4 != op(e1,e1) )
& ( e1 = op(e1,e3)
| e3 != op(e1,e1) )
& ( e1 = op(e1,e2)
| e2 != op(e1,e1) )
& ( e1 = op(e1,e1)
| e1 != op(e1,e1) )
& ( e1 = op(e1,e0)
| e0 != op(e1,e1) )
& ( e0 = op(e0,e4)
| op(e0,e0) != e4 )
& ( e0 = op(e0,e3)
| op(e0,e0) != e3 )
& ( e0 = op(e0,e2)
| op(e0,e0) != e2 )
& ( e0 = op(e0,e1)
| op(e0,e0) != e1 )
& ( e0 = op(e0,e0)
| e0 != op(e0,e0) ) ),
inference(negated_conjecture,[],[f7]) ).
fof(f7,conjecture,
~ ( ( ( e4 != op(op(e4,e4),e4)
& e4 = op(op(e4,e4),e4)
& op(e4,e4) != op(e4,e4) )
| ( e3 != op(op(e4,e3),e4)
& e4 = op(op(e4,e3),e3)
& op(e3,e4) != op(e4,e3) )
| ( e2 != op(op(e4,e2),e4)
& e4 = op(op(e4,e2),e2)
& op(e2,e4) != op(e4,e2) )
| ( e1 != op(op(e4,e1),e4)
& e4 = op(op(e4,e1),e1)
& op(e1,e4) != op(e4,e1) )
| ( e0 != op(op(e4,e0),e4)
& e4 = op(op(e4,e0),e0)
& op(e0,e4) != op(e4,e0) )
| ( e4 != op(op(e3,e4),e3)
& e3 = op(op(e3,e4),e4)
& op(e3,e4) != op(e4,e3) )
| ( e3 != op(op(e3,e3),e3)
& e3 = op(op(e3,e3),e3)
& op(e3,e3) != op(e3,e3) )
| ( e2 != op(op(e3,e2),e3)
& e3 = op(op(e3,e2),e2)
& op(e2,e3) != op(e3,e2) )
| ( e1 != op(op(e3,e1),e3)
& e3 = op(op(e3,e1),e1)
& op(e1,e3) != op(e3,e1) )
| ( e0 != op(op(e3,e0),e3)
& e3 = op(op(e3,e0),e0)
& op(e0,e3) != op(e3,e0) )
| ( e4 != op(op(e2,e4),e2)
& e2 = op(op(e2,e4),e4)
& op(e2,e4) != op(e4,e2) )
| ( e3 != op(op(e2,e3),e2)
& e2 = op(op(e2,e3),e3)
& op(e2,e3) != op(e3,e2) )
| ( e2 != op(op(e2,e2),e2)
& e2 = op(op(e2,e2),e2)
& op(e2,e2) != op(e2,e2) )
| ( e1 != op(op(e2,e1),e2)
& e2 = op(op(e2,e1),e1)
& op(e1,e2) != op(e2,e1) )
| ( e0 != op(op(e2,e0),e2)
& e2 = op(op(e2,e0),e0)
& op(e0,e2) != op(e2,e0) )
| ( e4 != op(op(e1,e4),e1)
& e1 = op(op(e1,e4),e4)
& op(e1,e4) != op(e4,e1) )
| ( e3 != op(op(e1,e3),e1)
& e1 = op(op(e1,e3),e3)
& op(e1,e3) != op(e3,e1) )
| ( e2 != op(op(e1,e2),e1)
& e1 = op(op(e1,e2),e2)
& op(e1,e2) != op(e2,e1) )
| ( e1 != op(op(e1,e1),e1)
& e1 = op(op(e1,e1),e1)
& op(e1,e1) != op(e1,e1) )
| ( e0 != op(op(e1,e0),e1)
& e1 = op(op(e1,e0),e0)
& op(e0,e1) != op(e1,e0) )
| ( e4 != op(op(e0,e4),e0)
& e0 = op(op(e0,e4),e4)
& op(e0,e4) != op(e4,e0) )
| ( e3 != op(op(e0,e3),e0)
& e0 = op(op(e0,e3),e3)
& op(e0,e3) != op(e3,e0) )
| ( e2 != op(op(e0,e2),e0)
& e0 = op(op(e0,e2),e2)
& op(e0,e2) != op(e2,e0) )
| ( e1 != op(op(e0,e1),e0)
& e0 = op(op(e0,e1),e1)
& op(e0,e1) != op(e1,e0) )
| ( e0 != op(op(e0,e0),e0)
& e0 = op(op(e0,e0),e0)
& op(e0,e0) != op(e0,e0) ) )
& ( e4 = op(e4,e4)
| e4 != op(e4,e4) )
& ( e4 = op(e4,e3)
| e3 != op(e4,e4) )
& ( e4 = op(e4,e2)
| e2 != op(e4,e4) )
& ( e4 = op(e4,e1)
| e1 != op(e4,e4) )
& ( e4 = op(e4,e0)
| e0 != op(e4,e4) )
& ( e3 = op(e3,e4)
| e4 != op(e3,e3) )
& ( e3 = op(e3,e3)
| e3 != op(e3,e3) )
& ( e3 = op(e3,e2)
| e2 != op(e3,e3) )
& ( e3 = op(e3,e1)
| e1 != op(e3,e3) )
& ( e3 = op(e3,e0)
| e0 != op(e3,e3) )
& ( e2 = op(e2,e4)
| e4 != op(e2,e2) )
& ( e2 = op(e2,e3)
| e3 != op(e2,e2) )
& ( e2 = op(e2,e2)
| e2 != op(e2,e2) )
& ( e2 = op(e2,e1)
| e1 != op(e2,e2) )
& ( e2 = op(e2,e0)
| e0 != op(e2,e2) )
& ( e1 = op(e1,e4)
| e4 != op(e1,e1) )
& ( e1 = op(e1,e3)
| e3 != op(e1,e1) )
& ( e1 = op(e1,e2)
| e2 != op(e1,e1) )
& ( e1 = op(e1,e1)
| e1 != op(e1,e1) )
& ( e1 = op(e1,e0)
| e0 != op(e1,e1) )
& ( e0 = op(e0,e4)
| op(e0,e0) != e4 )
& ( e0 = op(e0,e3)
| op(e0,e0) != e3 )
& ( e0 = op(e0,e2)
| op(e0,e0) != e2 )
& ( e0 = op(e0,e1)
| op(e0,e0) != e1 )
& ( e0 = op(e0,e0)
| e0 != op(e0,e0) ) ),
file('/export/starexec/sandbox/tmp/tmp.JMgY3mHGzZ/Vampire---4.8_26625',co1) ).
fof(f834,plain,
( ~ spl24_96
| spl24_97 ),
inference(avatar_split_clause,[],[f145,f831,f827]) ).
fof(f145,plain,
( e2 = op(e2,e4)
| e4 != op(e2,e2) ),
inference(cnf_transformation,[],[f34]) ).
fof(f753,plain,
( spl24_77
| spl24_74
| spl24_71
| spl24_68
| spl24_65
| spl24_61
| spl24_59
| spl24_56
| spl24_53
| spl24_50
| spl24_46
| spl24_42
| spl24_40
| spl24_37
| spl24_34
| spl24_30
| spl24_26
| spl24_22
| spl24_20
| spl24_17
| spl24_13
| spl24_9
| spl24_5
| spl24_1 ),
inference(avatar_split_clause,[],[f358,f364,f383,f402,f421,f440,f455,f466,f485,f504,f523,f538,f553,f564,f583,f602,f617,f632,f647,f658,f677,f692,f707,f722,f737]) ).
fof(f737,plain,
( spl24_77
<=> sP0 ),
introduced(avatar_definition,[new_symbols(naming,[spl24_77])]) ).
fof(f722,plain,
( spl24_74
<=> sP1 ),
introduced(avatar_definition,[new_symbols(naming,[spl24_74])]) ).
fof(f707,plain,
( spl24_71
<=> sP2 ),
introduced(avatar_definition,[new_symbols(naming,[spl24_71])]) ).
fof(f692,plain,
( spl24_68
<=> sP3 ),
introduced(avatar_definition,[new_symbols(naming,[spl24_68])]) ).
fof(f677,plain,
( spl24_65
<=> sP4 ),
introduced(avatar_definition,[new_symbols(naming,[spl24_65])]) ).
fof(f658,plain,
( spl24_61
<=> sP5 ),
introduced(avatar_definition,[new_symbols(naming,[spl24_61])]) ).
fof(f647,plain,
( spl24_59
<=> sP6 ),
introduced(avatar_definition,[new_symbols(naming,[spl24_59])]) ).
fof(f632,plain,
( spl24_56
<=> sP7 ),
introduced(avatar_definition,[new_symbols(naming,[spl24_56])]) ).
fof(f617,plain,
( spl24_53
<=> sP8 ),
introduced(avatar_definition,[new_symbols(naming,[spl24_53])]) ).
fof(f602,plain,
( spl24_50
<=> sP9 ),
introduced(avatar_definition,[new_symbols(naming,[spl24_50])]) ).
fof(f583,plain,
( spl24_46
<=> sP10 ),
introduced(avatar_definition,[new_symbols(naming,[spl24_46])]) ).
fof(f564,plain,
( spl24_42
<=> sP11 ),
introduced(avatar_definition,[new_symbols(naming,[spl24_42])]) ).
fof(f553,plain,
( spl24_40
<=> sP12 ),
introduced(avatar_definition,[new_symbols(naming,[spl24_40])]) ).
fof(f538,plain,
( spl24_37
<=> sP13 ),
introduced(avatar_definition,[new_symbols(naming,[spl24_37])]) ).
fof(f523,plain,
( spl24_34
<=> sP14 ),
introduced(avatar_definition,[new_symbols(naming,[spl24_34])]) ).
fof(f504,plain,
( spl24_30
<=> sP15 ),
introduced(avatar_definition,[new_symbols(naming,[spl24_30])]) ).
fof(f485,plain,
( spl24_26
<=> sP16 ),
introduced(avatar_definition,[new_symbols(naming,[spl24_26])]) ).
fof(f466,plain,
( spl24_22
<=> sP17 ),
introduced(avatar_definition,[new_symbols(naming,[spl24_22])]) ).
fof(f455,plain,
( spl24_20
<=> sP18 ),
introduced(avatar_definition,[new_symbols(naming,[spl24_20])]) ).
fof(f440,plain,
( spl24_17
<=> sP19 ),
introduced(avatar_definition,[new_symbols(naming,[spl24_17])]) ).
fof(f421,plain,
( spl24_13
<=> sP20 ),
introduced(avatar_definition,[new_symbols(naming,[spl24_13])]) ).
fof(f402,plain,
( spl24_9
<=> sP21 ),
introduced(avatar_definition,[new_symbols(naming,[spl24_9])]) ).
fof(f383,plain,
( spl24_5
<=> sP22 ),
introduced(avatar_definition,[new_symbols(naming,[spl24_5])]) ).
fof(f364,plain,
( spl24_1
<=> sP23 ),
introduced(avatar_definition,[new_symbols(naming,[spl24_1])]) ).
fof(f358,plain,
( sP23
| sP22
| sP21
| sP20
| sP19
| sP18
| sP17
| sP16
| sP15
| sP14
| sP13
| sP12
| sP11
| sP10
| sP9
| sP8
| sP7
| sP6
| sP5
| sP4
| sP3
| sP2
| sP1
| sP0 ),
inference(trivial_inequality_removal,[],[f156]) ).
fof(f156,plain,
( op(e4,e4) != op(e4,e4)
| sP23
| sP22
| sP21
| sP20
| sP19
| sP18
| sP17
| sP16
| sP15
| sP14
| sP13
| sP12
| sP11
| sP10
| sP9
| sP8
| sP7
| sP6
| sP5
| sP4
| sP3
| sP2
| sP1
| sP0 ),
inference(cnf_transformation,[],[f34]) ).
fof(f746,plain,
~ spl24_77,
inference(avatar_split_clause,[],[f359,f737]) ).
fof(f359,plain,
~ sP0,
inference(trivial_inequality_removal,[],[f128]) ).
fof(f128,plain,
( op(e0,e0) != op(e0,e0)
| ~ sP0 ),
inference(cnf_transformation,[],[f58]) ).
fof(f58,plain,
( ( e0 != op(op(e0,e0),e0)
& e0 = op(op(e0,e0),e0)
& op(e0,e0) != op(e0,e0) )
| ~ sP0 ),
inference(nnf_transformation,[],[f10]) ).
fof(f735,plain,
( ~ spl24_74
| ~ spl24_64 ),
inference(avatar_split_clause,[],[f125,f672,f722]) ).
fof(f125,plain,
( op(e0,e1) != op(e1,e0)
| ~ sP1 ),
inference(cnf_transformation,[],[f57]) ).
fof(f57,plain,
( ( e1 != op(op(e0,e1),e0)
& e0 = op(op(e0,e1),e1)
& op(e0,e1) != op(e1,e0) )
| ~ sP1 ),
inference(nnf_transformation,[],[f11]) ).
fof(f720,plain,
( ~ spl24_71
| ~ spl24_49 ),
inference(avatar_split_clause,[],[f122,f597,f707]) ).
fof(f122,plain,
( op(e0,e2) != op(e2,e0)
| ~ sP2 ),
inference(cnf_transformation,[],[f56]) ).
fof(f56,plain,
( ( e2 != op(op(e0,e2),e0)
& e0 = op(op(e0,e2),e2)
& op(e0,e2) != op(e2,e0) )
| ~ sP2 ),
inference(nnf_transformation,[],[f12]) ).
fof(f705,plain,
( ~ spl24_68
| ~ spl24_33 ),
inference(avatar_split_clause,[],[f119,f518,f692]) ).
fof(f119,plain,
( op(e0,e3) != op(e3,e0)
| ~ sP3 ),
inference(cnf_transformation,[],[f55]) ).
fof(f55,plain,
( ( e3 != op(op(e0,e3),e0)
& e0 = op(op(e0,e3),e3)
& op(e0,e3) != op(e3,e0) )
| ~ sP3 ),
inference(nnf_transformation,[],[f13]) ).
fof(f690,plain,
( ~ spl24_65
| ~ spl24_16 ),
inference(avatar_split_clause,[],[f116,f435,f677]) ).
fof(f116,plain,
( op(e0,e4) != op(e4,e0)
| ~ sP4 ),
inference(cnf_transformation,[],[f54]) ).
fof(f54,plain,
( ( e4 != op(op(e0,e4),e0)
& e0 = op(op(e0,e4),e4)
& op(e0,e4) != op(e4,e0) )
| ~ sP4 ),
inference(nnf_transformation,[],[f14]) ).
fof(f675,plain,
( ~ spl24_61
| ~ spl24_64 ),
inference(avatar_split_clause,[],[f113,f672,f658]) ).
fof(f113,plain,
( op(e0,e1) != op(e1,e0)
| ~ sP5 ),
inference(cnf_transformation,[],[f53]) ).
fof(f53,plain,
( ( e0 != op(op(e1,e0),e1)
& e1 = op(op(e1,e0),e0)
& op(e0,e1) != op(e1,e0) )
| ~ sP5 ),
inference(nnf_transformation,[],[f15]) ).
fof(f656,plain,
~ spl24_59,
inference(avatar_split_clause,[],[f360,f647]) ).
fof(f360,plain,
~ sP6,
inference(trivial_inequality_removal,[],[f110]) ).
fof(f110,plain,
( op(e1,e1) != op(e1,e1)
| ~ sP6 ),
inference(cnf_transformation,[],[f52]) ).
fof(f52,plain,
( ( e1 != op(op(e1,e1),e1)
& e1 = op(op(e1,e1),e1)
& op(e1,e1) != op(e1,e1) )
| ~ sP6 ),
inference(nnf_transformation,[],[f16]) ).
fof(f644,plain,
( ~ spl24_56
| spl24_58 ),
inference(avatar_split_clause,[],[f108,f641,f632]) ).
fof(f108,plain,
( e1 = op(op(e1,e2),e2)
| ~ sP7 ),
inference(cnf_transformation,[],[f51]) ).
fof(f51,plain,
( ( e2 != op(op(e1,e2),e1)
& e1 = op(op(e1,e2),e2)
& op(e1,e2) != op(e2,e1) )
| ~ sP7 ),
inference(nnf_transformation,[],[f17]) ).
fof(f629,plain,
( ~ spl24_53
| spl24_55 ),
inference(avatar_split_clause,[],[f105,f626,f617]) ).
fof(f105,plain,
( e1 = op(op(e1,e3),e3)
| ~ sP8 ),
inference(cnf_transformation,[],[f50]) ).
fof(f50,plain,
( ( e3 != op(op(e1,e3),e1)
& e1 = op(op(e1,e3),e3)
& op(e1,e3) != op(e3,e1) )
| ~ sP8 ),
inference(nnf_transformation,[],[f18]) ).
fof(f609,plain,
( ~ spl24_50
| ~ spl24_51 ),
inference(avatar_split_clause,[],[f103,f606,f602]) ).
fof(f103,plain,
( e4 != op(op(e1,e4),e1)
| ~ sP9 ),
inference(cnf_transformation,[],[f49]) ).
fof(f49,plain,
( ( e4 != op(op(e1,e4),e1)
& e1 = op(op(e1,e4),e4)
& op(e1,e4) != op(e4,e1) )
| ~ sP9 ),
inference(nnf_transformation,[],[f19]) ).
fof(f600,plain,
( ~ spl24_46
| ~ spl24_49 ),
inference(avatar_split_clause,[],[f98,f597,f583]) ).
fof(f98,plain,
( op(e0,e2) != op(e2,e0)
| ~ sP10 ),
inference(cnf_transformation,[],[f48]) ).
fof(f48,plain,
( ( e0 != op(op(e2,e0),e2)
& e2 = op(op(e2,e0),e0)
& op(e0,e2) != op(e2,e0) )
| ~ sP10 ),
inference(nnf_transformation,[],[f20]) ).
fof(f576,plain,
( ~ spl24_42
| spl24_44 ),
inference(avatar_split_clause,[],[f96,f573,f564]) ).
fof(f96,plain,
( e2 = op(op(e2,e1),e1)
| ~ sP11 ),
inference(cnf_transformation,[],[f47]) ).
fof(f47,plain,
( ( e1 != op(op(e2,e1),e2)
& e2 = op(op(e2,e1),e1)
& op(e1,e2) != op(e2,e1) )
| ~ sP11 ),
inference(nnf_transformation,[],[f21]) ).
fof(f562,plain,
~ spl24_40,
inference(avatar_split_clause,[],[f361,f553]) ).
fof(f361,plain,
~ sP12,
inference(trivial_inequality_removal,[],[f92]) ).
fof(f92,plain,
( op(e2,e2) != op(e2,e2)
| ~ sP12 ),
inference(cnf_transformation,[],[f46]) ).
fof(f46,plain,
( ( e2 != op(op(e2,e2),e2)
& e2 = op(op(e2,e2),e2)
& op(e2,e2) != op(e2,e2) )
| ~ sP12 ),
inference(nnf_transformation,[],[f22]) ).
fof(f550,plain,
( ~ spl24_37
| spl24_39 ),
inference(avatar_split_clause,[],[f90,f547,f538]) ).
fof(f90,plain,
( e2 = op(op(e2,e3),e3)
| ~ sP13 ),
inference(cnf_transformation,[],[f45]) ).
fof(f45,plain,
( ( e3 != op(op(e2,e3),e2)
& e2 = op(op(e2,e3),e3)
& op(e2,e3) != op(e3,e2) )
| ~ sP13 ),
inference(nnf_transformation,[],[f23]) ).
fof(f535,plain,
( ~ spl24_34
| spl24_36 ),
inference(avatar_split_clause,[],[f87,f532,f523]) ).
fof(f87,plain,
( e2 = op(op(e2,e4),e4)
| ~ sP14 ),
inference(cnf_transformation,[],[f44]) ).
fof(f44,plain,
( ( e4 != op(op(e2,e4),e2)
& e2 = op(op(e2,e4),e4)
& op(e2,e4) != op(e4,e2) )
| ~ sP14 ),
inference(nnf_transformation,[],[f24]) ).
fof(f521,plain,
( ~ spl24_30
| ~ spl24_33 ),
inference(avatar_split_clause,[],[f83,f518,f504]) ).
fof(f83,plain,
( op(e0,e3) != op(e3,e0)
| ~ sP15 ),
inference(cnf_transformation,[],[f43]) ).
fof(f43,plain,
( ( e0 != op(op(e3,e0),e3)
& e3 = op(op(e3,e0),e0)
& op(e0,e3) != op(e3,e0) )
| ~ sP15 ),
inference(nnf_transformation,[],[f25]) ).
fof(f497,plain,
( ~ spl24_26
| spl24_28 ),
inference(avatar_split_clause,[],[f81,f494,f485]) ).
fof(f81,plain,
( e3 = op(op(e3,e1),e1)
| ~ sP16 ),
inference(cnf_transformation,[],[f42]) ).
fof(f42,plain,
( ( e1 != op(op(e3,e1),e3)
& e3 = op(op(e3,e1),e1)
& op(e1,e3) != op(e3,e1) )
| ~ sP16 ),
inference(nnf_transformation,[],[f26]) ).
fof(f478,plain,
( ~ spl24_22
| spl24_24 ),
inference(avatar_split_clause,[],[f78,f475,f466]) ).
fof(f78,plain,
( e3 = op(op(e3,e2),e2)
| ~ sP17 ),
inference(cnf_transformation,[],[f41]) ).
fof(f41,plain,
( ( e2 != op(op(e3,e2),e3)
& e3 = op(op(e3,e2),e2)
& op(e2,e3) != op(e3,e2) )
| ~ sP17 ),
inference(nnf_transformation,[],[f27]) ).
fof(f464,plain,
~ spl24_20,
inference(avatar_split_clause,[],[f362,f455]) ).
fof(f362,plain,
~ sP18,
inference(trivial_inequality_removal,[],[f74]) ).
fof(f74,plain,
( op(e3,e3) != op(e3,e3)
| ~ sP18 ),
inference(cnf_transformation,[],[f40]) ).
fof(f40,plain,
( ( e3 != op(op(e3,e3),e3)
& e3 = op(op(e3,e3),e3)
& op(e3,e3) != op(e3,e3) )
| ~ sP18 ),
inference(nnf_transformation,[],[f28]) ).
fof(f452,plain,
( ~ spl24_17
| spl24_19 ),
inference(avatar_split_clause,[],[f72,f449,f440]) ).
fof(f72,plain,
( e3 = op(op(e3,e4),e4)
| ~ sP19 ),
inference(cnf_transformation,[],[f39]) ).
fof(f39,plain,
( ( e4 != op(op(e3,e4),e3)
& e3 = op(op(e3,e4),e4)
& op(e3,e4) != op(e4,e3) )
| ~ sP19 ),
inference(nnf_transformation,[],[f29]) ).
fof(f438,plain,
( ~ spl24_13
| ~ spl24_16 ),
inference(avatar_split_clause,[],[f68,f435,f421]) ).
fof(f68,plain,
( op(e0,e4) != op(e4,e0)
| ~ sP20 ),
inference(cnf_transformation,[],[f38]) ).
fof(f38,plain,
( ( e0 != op(op(e4,e0),e4)
& e4 = op(op(e4,e0),e0)
& op(e0,e4) != op(e4,e0) )
| ~ sP20 ),
inference(nnf_transformation,[],[f30]) ).
fof(f414,plain,
( ~ spl24_9
| spl24_11 ),
inference(avatar_split_clause,[],[f66,f411,f402]) ).
fof(f66,plain,
( e4 = op(op(e4,e1),e1)
| ~ sP21 ),
inference(cnf_transformation,[],[f37]) ).
fof(f37,plain,
( ( e1 != op(op(e4,e1),e4)
& e4 = op(op(e4,e1),e1)
& op(e1,e4) != op(e4,e1) )
| ~ sP21 ),
inference(nnf_transformation,[],[f31]) ).
fof(f395,plain,
( ~ spl24_5
| spl24_7 ),
inference(avatar_split_clause,[],[f63,f392,f383]) ).
fof(f63,plain,
( e4 = op(op(e4,e2),e2)
| ~ sP22 ),
inference(cnf_transformation,[],[f36]) ).
fof(f36,plain,
( ( e2 != op(op(e4,e2),e4)
& e4 = op(op(e4,e2),e2)
& op(e2,e4) != op(e4,e2) )
| ~ sP22 ),
inference(nnf_transformation,[],[f32]) ).
fof(f376,plain,
( ~ spl24_1
| spl24_3 ),
inference(avatar_split_clause,[],[f60,f373,f364]) ).
fof(f60,plain,
( e4 = op(op(e4,e3),e3)
| ~ sP23 ),
inference(cnf_transformation,[],[f35]) ).
fof(f35,plain,
( ( e3 != op(op(e4,e3),e4)
& e4 = op(op(e4,e3),e3)
& op(e3,e4) != op(e4,e3) )
| ~ sP23 ),
inference(nnf_transformation,[],[f33]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : ALG068+1 : TPTP v8.1.2. Released v2.7.0.
% 0.13/0.14 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.13/0.35 % Computer : n026.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Fri May 3 20:00:23 EDT 2024
% 0.13/0.35 % CPUTime :
% 0.13/0.35 This is a FOF_THM_RFO_PEQ problem
% 0.13/0.35 Running vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox/tmp/tmp.JMgY3mHGzZ/Vampire---4.8_26625
% 0.56/0.75 % (26733)dis-1011_2:1_sil=2000:lsd=20:nwc=5.0:flr=on:mep=off:st=3.0:i=34:sd=1:ep=RS:ss=axioms_0 on Vampire---4 for (2996ds/34Mi)
% 0.56/0.75 % (26735)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.56/0.75 % (26736)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on Vampire---4 for (2996ds/33Mi)
% 0.56/0.75 % (26738)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on Vampire---4 for (2996ds/45Mi)
% 0.56/0.75 % (26734)lrs+1011_461:32768_sil=16000:irw=on:sp=frequency:lsd=20:fd=preordered:nwc=10.0:s2agt=32:alpa=false:cond=fast:s2a=on:i=51:s2at=3.0:awrs=decay:awrsf=691:bd=off:nm=20:fsr=off:amm=sco:uhcvi=on:rawr=on_0 on Vampire---4 for (2996ds/51Mi)
% 0.56/0.75 % (26737)lrs+2_1:1_sil=16000:fde=none:sos=all:nwc=5.0:i=34:ep=RS:s2pl=on:lma=on:afp=100000_0 on Vampire---4 for (2996ds/34Mi)
% 0.56/0.75 % (26739)lrs+21_1:5_sil=2000:sos=on:urr=on:newcnf=on:slsq=on:i=83:slsql=off:bd=off:nm=2:ss=axioms:st=1.5:sp=const_min:gsp=on:rawr=on_0 on Vampire---4 for (2996ds/83Mi)
% 0.56/0.75 % (26740)lrs-21_1:1_to=lpo:sil=2000:sp=frequency:sos=on:lma=on:i=56:sd=2:ss=axioms:ep=R_0 on Vampire---4 for (2996ds/56Mi)
% 0.56/0.76 % (26733)Refutation not found, incomplete strategy% (26733)------------------------------
% 0.56/0.76 % (26733)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.76 % (26733)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.76
% 0.56/0.76 % (26733)Memory used [KB]: 1534
% 0.56/0.76 % (26733)Time elapsed: 0.009 s
% 0.56/0.76 % (26733)Instructions burned: 28 (million)
% 0.56/0.76 % (26733)------------------------------
% 0.56/0.76 % (26733)------------------------------
% 0.56/0.76 % (26740)Refutation not found, incomplete strategy% (26740)------------------------------
% 0.56/0.76 % (26740)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.76 % (26740)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.76
% 0.56/0.76 % (26740)Memory used [KB]: 1341
% 0.56/0.76 % (26740)Time elapsed: 0.010 s
% 0.56/0.76 % (26740)Instructions burned: 20 (million)
% 0.56/0.76 % (26740)------------------------------
% 0.56/0.76 % (26740)------------------------------
% 0.56/0.76 % (26737)Refutation not found, incomplete strategy% (26737)------------------------------
% 0.56/0.76 % (26737)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.76 % (26737)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.76
% 0.56/0.76 % (26737)Memory used [KB]: 1408
% 0.56/0.76 % (26737)Time elapsed: 0.012 s
% 0.56/0.76 % (26737)Instructions burned: 22 (million)
% 0.56/0.76 % (26737)------------------------------
% 0.56/0.76 % (26737)------------------------------
% 0.56/0.76 % (26742)lrs+21_1:16_sil=2000:sp=occurrence:urr=on:flr=on:i=55:sd=1:nm=0:ins=3:ss=included:rawr=on:br=off_0 on Vampire---4 for (2996ds/55Mi)
% 0.60/0.76 % (26743)dis+3_25:4_sil=16000:sos=all:erd=off:i=50:s2at=4.0:bd=off:nm=60:sup=off:cond=on:av=off:ins=2:nwc=10.0:etr=on:to=lpo:s2agt=20:fd=off:bsr=unit_only:slsq=on:slsqr=28,19:awrs=converge:awrsf=500:tgt=ground:bs=unit_only_0 on Vampire---4 for (2996ds/50Mi)
% 0.60/0.76 % (26736)Instruction limit reached!
% 0.60/0.76 % (26736)------------------------------
% 0.60/0.76 % (26736)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.76 % (26736)Termination reason: Unknown
% 0.60/0.76 % (26736)Termination phase: Saturation
% 0.60/0.76
% 0.60/0.76 % (26736)Memory used [KB]: 1764
% 0.60/0.76 % (26736)Time elapsed: 0.017 s
% 0.60/0.76 % (26736)Instructions burned: 34 (million)
% 0.60/0.76 % (26736)------------------------------
% 0.60/0.76 % (26736)------------------------------
% 0.60/0.77 % (26744)lrs+1010_1:2_sil=4000:tgt=ground:nwc=10.0:st=2.0:i=208:sd=1:bd=off:ss=axioms_0 on Vampire---4 for (2995ds/208Mi)
% 0.60/0.77 % (26738)Instruction limit reached!
% 0.60/0.77 % (26738)------------------------------
% 0.60/0.77 % (26738)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.77 % (26738)Termination reason: Unknown
% 0.60/0.77 % (26738)Termination phase: Saturation
% 0.60/0.77
% 0.60/0.77 % (26738)Memory used [KB]: 1601
% 0.60/0.77 % (26738)Time elapsed: 0.020 s
% 0.60/0.77 % (26738)Instructions burned: 45 (million)
% 0.60/0.77 % (26738)------------------------------
% 0.60/0.77 % (26738)------------------------------
% 0.60/0.77 % (26745)lrs-1011_1:1_sil=4000:plsq=on:plsqr=32,1:sp=frequency:plsql=on:nwc=10.0:i=52:aac=none:afr=on:ss=axioms:er=filter:sgt=16:rawr=on:etr=on:lma=on_0 on Vampire---4 for (2995ds/52Mi)
% 0.60/0.77 % (26734)Instruction limit reached!
% 0.60/0.77 % (26734)------------------------------
% 0.60/0.77 % (26734)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.77 % (26734)Termination reason: Unknown
% 0.60/0.77 % (26734)Termination phase: Saturation
% 0.60/0.77
% 0.60/0.77 % (26734)Memory used [KB]: 2108
% 0.60/0.77 % (26734)Time elapsed: 0.025 s
% 0.60/0.77 % (26734)Instructions burned: 52 (million)
% 0.60/0.77 % (26734)------------------------------
% 0.60/0.77 % (26734)------------------------------
% 0.60/0.78 % (26747)lrs+1011_87677:1048576_sil=8000:sos=on:spb=non_intro:nwc=10.0:kmz=on:i=42:ep=RS:nm=0:ins=1:uhcvi=on:rawr=on:fde=unused:afp=2000:afq=1.444:plsq=on:nicw=on_0 on Vampire---4 for (2995ds/42Mi)
% 0.60/0.78 % (26743)Instruction limit reached!
% 0.60/0.78 % (26743)------------------------------
% 0.60/0.78 % (26743)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.78 % (26743)Termination reason: Unknown
% 0.60/0.78 % (26743)Termination phase: Saturation
% 0.60/0.78
% 0.60/0.78 % (26743)Memory used [KB]: 2088
% 0.60/0.78 % (26743)Time elapsed: 0.021 s
% 0.60/0.78 % (26743)Instructions burned: 50 (million)
% 0.60/0.78 % (26743)------------------------------
% 0.60/0.78 % (26743)------------------------------
% 0.60/0.78 % (26746)lrs-1010_1:1_to=lpo:sil=2000:sp=reverse_arity:sos=on:urr=ec_only:i=518:sd=2:bd=off:ss=axioms:sgt=16_0 on Vampire---4 for (2995ds/518Mi)
% 0.60/0.78 % (26735)First to succeed.
% 0.60/0.78 % (26742)Instruction limit reached!
% 0.60/0.78 % (26742)------------------------------
% 0.60/0.78 % (26742)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.78 % (26742)Termination reason: Unknown
% 0.60/0.78 % (26742)Termination phase: Clausification
% 0.60/0.78
% 0.60/0.78 % (26742)Memory used [KB]: 28306
% 0.60/0.78 % (26742)Time elapsed: 0.026 s
% 0.60/0.78 % (26742)Instructions burned: 56 (million)
% 0.60/0.78 % (26742)------------------------------
% 0.60/0.78 % (26742)------------------------------
% 0.60/0.79 % (26739)Instruction limit reached!
% 0.60/0.79 % (26739)------------------------------
% 0.60/0.79 % (26739)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.79 % (26739)Termination reason: Unknown
% 0.60/0.79 % (26739)Termination phase: Saturation
% 0.60/0.79
% 0.60/0.79 % (26739)Memory used [KB]: 2046
% 0.60/0.79 % (26739)Time elapsed: 0.039 s
% 0.60/0.79 % (26739)Instructions burned: 84 (million)
% 0.60/0.79 % (26739)------------------------------
% 0.60/0.79 % (26739)------------------------------
% 0.60/0.79 % (26748)dis+1011_1258907:1048576_bsr=unit_only:to=lpo:drc=off:sil=2000:tgt=full:fde=none:sp=frequency:spb=goal:rnwc=on:nwc=6.70083:sac=on:newcnf=on:st=2:i=243:bs=unit_only:sd=3:afp=300:awrs=decay:awrsf=218:nm=16:ins=3:afq=3.76821:afr=on:ss=axioms:sgt=5:rawr=on:add=off:bsd=on_0 on Vampire---4 for (2995ds/243Mi)
% 0.60/0.79 % (26749)lrs+1011_2:9_sil=2000:lsd=10:newcnf=on:i=117:sd=2:awrs=decay:ss=included:amm=off:ep=R_0 on Vampire---4 for (2995ds/117Mi)
% 0.60/0.79 % (26750)dis+1011_11:1_sil=2000:avsq=on:i=143:avsqr=1,16:ep=RS:rawr=on:aac=none:lsd=100:mep=off:fde=none:newcnf=on:bsr=unit_only_0 on Vampire---4 for (2995ds/143Mi)
% 0.60/0.79 % (26745)Instruction limit reached!
% 0.60/0.79 % (26745)------------------------------
% 0.60/0.79 % (26745)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.79 % (26745)Termination reason: Unknown
% 0.60/0.79 % (26745)Termination phase: Saturation
% 0.60/0.79
% 0.60/0.79 % (26745)Memory used [KB]: 1775
% 0.60/0.79 % (26745)Time elapsed: 0.025 s
% 0.60/0.79 % (26745)Instructions burned: 52 (million)
% 0.60/0.79 % (26745)------------------------------
% 0.60/0.79 % (26745)------------------------------
% 0.60/0.79 % (26735)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-26732"
% 0.60/0.79 % (26735)Refutation found. Thanks to Tanya!
% 0.60/0.79 % SZS status Theorem for Vampire---4
% 0.60/0.79 % SZS output start Proof for Vampire---4
% See solution above
% 0.60/0.80 % (26735)------------------------------
% 0.60/0.80 % (26735)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.80 % (26735)Termination reason: Refutation
% 0.60/0.80
% 0.60/0.80 % (26735)Memory used [KB]: 1858
% 0.60/0.80 % (26735)Time elapsed: 0.044 s
% 0.60/0.80 % (26735)Instructions burned: 96 (million)
% 0.60/0.80 % (26732)Success in time 0.429 s
% 0.60/0.80 % Vampire---4.8 exiting
%------------------------------------------------------------------------------