TSTP Solution File: ALG111+1 by Vampire---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : ALG111+1 : TPTP v8.2.0. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% Computer : n025.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Mon May 20 18:18:12 EDT 2024
% Result : Theorem 0.91s 0.94s
% Output : Refutation 0.91s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 107
% Syntax : Number of formulae : 522 ( 101 unt; 0 def)
% Number of atoms : 2576 (1849 equ)
% Maximal formula atoms : 128 ( 4 avg)
% Number of connectives : 3306 (1252 ~;1379 |; 595 &)
% ( 80 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 66 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 94 ( 92 usr; 93 prp; 0-2 aty)
% Number of functors : 14 ( 14 usr; 8 con; 0-2 aty)
% Number of variables : 0 ( 0 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2465,plain,
$false,
inference(avatar_sat_refutation,[],[f501,f530,f559,f844,f1182,f1198,f1232,f1239,f1246,f1256,f1263,f1267,f1295,f1341,f1343,f1353,f1396,f1420,f1422,f1428,f1430,f1431,f1439,f1443,f1446,f1522,f1574,f1582,f1589,f1590,f1607,f1611,f1631,f1638,f1677,f1683,f1685,f1695,f1737,f1758,f1760,f1762,f1770,f1779,f1783,f1817,f1819,f1822,f1823,f1833,f1838,f1878,f1911,f1916,f1941,f1950,f1953,f1979,f1991,f2020,f2022,f2098,f2123,f2130,f2141,f2160,f2165,f2176,f2203,f2221,f2241,f2260,f2280,f2299,f2317,f2337,f2356,f2376,f2396,f2415,f2435]) ).
fof(f2435,plain,
( ~ spl12_156
| ~ spl12_172 ),
inference(avatar_contradiction_clause,[],[f2434]) ).
fof(f2434,plain,
( $false
| ~ spl12_156
| ~ spl12_172 ),
inference(subsumption_resolution,[],[f2433,f113]) ).
fof(f113,plain,
e11 != e12,
inference(cnf_transformation,[],[f7]) ).
fof(f7,axiom,
( e12 != e13
& e11 != e13
& e11 != e12
& e10 != e13
& e10 != e12
& e10 != e11 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax7) ).
fof(f2433,plain,
( e11 = e12
| ~ spl12_156
| ~ spl12_172 ),
inference(forward_demodulation,[],[f1340,f1212]) ).
fof(f1212,plain,
( e11 = op1(e11,e12)
| ~ spl12_156 ),
inference(avatar_component_clause,[],[f1211]) ).
fof(f1211,plain,
( spl12_156
<=> e11 = op1(e11,e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_156])]) ).
fof(f1340,plain,
( e12 = op1(e11,e12)
| ~ spl12_172 ),
inference(avatar_component_clause,[],[f1338]) ).
fof(f1338,plain,
( spl12_172
<=> e12 = op1(e11,e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_172])]) ).
fof(f2415,plain,
( ~ spl12_9
| spl12_76
| ~ spl12_77 ),
inference(avatar_contradiction_clause,[],[f2414]) ).
fof(f2414,plain,
( $false
| ~ spl12_9
| spl12_76
| ~ spl12_77 ),
inference(subsumption_resolution,[],[f2413,f280]) ).
fof(f280,plain,
e21 = op2(e23,e23),
inference(cnf_transformation,[],[f13]) ).
fof(f13,axiom,
( e22 = op2(op2(e23,op2(e23,e23)),op2(e23,e23))
& e21 = op2(e23,e23)
& e20 = op2(e23,op2(e23,e23)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax13) ).
fof(f2413,plain,
( e21 != op2(e23,e23)
| ~ spl12_9
| spl12_76
| ~ spl12_77 ),
inference(forward_demodulation,[],[f2412,f528]) ).
fof(f528,plain,
( e21 = h4(e11)
| ~ spl12_9 ),
inference(avatar_component_clause,[],[f527]) ).
fof(f527,plain,
( spl12_9
<=> e21 = h4(e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_9])]) ).
fof(f2412,plain,
( op2(e23,e23) != h4(e11)
| spl12_76
| ~ spl12_77 ),
inference(forward_demodulation,[],[f2411,f117]) ).
fof(f117,plain,
e11 = op1(e13,e13),
inference(cnf_transformation,[],[f12]) ).
fof(f12,axiom,
( e12 = op1(op1(e13,op1(e13,e13)),op1(e13,e13))
& e11 = op1(e13,e13)
& e10 = op1(e13,op1(e13,e13)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax12) ).
fof(f2411,plain,
( op2(e23,e23) != h4(op1(e13,e13))
| spl12_76
| ~ spl12_77 ),
inference(forward_demodulation,[],[f839,f842]) ).
fof(f842,plain,
( e23 = h4(e13)
| ~ spl12_77 ),
inference(avatar_component_clause,[],[f841]) ).
fof(f841,plain,
( spl12_77
<=> e23 = h4(e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_77])]) ).
fof(f839,plain,
( h4(op1(e13,e13)) != op2(h4(e13),h4(e13))
| spl12_76 ),
inference(avatar_component_clause,[],[f837]) ).
fof(f837,plain,
( spl12_76
<=> h4(op1(e13,e13)) = op2(h4(e13),h4(e13)) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_76])]) ).
fof(f2396,plain,
( ~ spl12_3
| spl12_75
| ~ spl12_77
| ~ spl12_165
| ~ spl12_208 ),
inference(avatar_contradiction_clause,[],[f2395]) ).
fof(f2395,plain,
( $false
| ~ spl12_3
| spl12_75
| ~ spl12_77
| ~ spl12_165
| ~ spl12_208 ),
inference(subsumption_resolution,[],[f2394,f1649]) ).
fof(f1649,plain,
( e22 = op2(e23,e22)
| ~ spl12_208 ),
inference(avatar_component_clause,[],[f1647]) ).
fof(f1647,plain,
( spl12_208
<=> e22 = op2(e23,e22) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_208])]) ).
fof(f2394,plain,
( e22 != op2(e23,e22)
| ~ spl12_3
| spl12_75
| ~ spl12_77
| ~ spl12_165 ),
inference(forward_demodulation,[],[f2393,f499]) ).
fof(f499,plain,
( e22 = h4(e12)
| ~ spl12_3 ),
inference(avatar_component_clause,[],[f498]) ).
fof(f498,plain,
( spl12_3
<=> e22 = h4(e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_3])]) ).
fof(f2393,plain,
( op2(e23,e22) != h4(e12)
| ~ spl12_3
| spl12_75
| ~ spl12_77
| ~ spl12_165 ),
inference(forward_demodulation,[],[f2392,f1307]) ).
fof(f1307,plain,
( e12 = op1(e13,e12)
| ~ spl12_165 ),
inference(avatar_component_clause,[],[f1305]) ).
fof(f1305,plain,
( spl12_165
<=> e12 = op1(e13,e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_165])]) ).
fof(f2392,plain,
( op2(e23,e22) != h4(op1(e13,e12))
| ~ spl12_3
| spl12_75
| ~ spl12_77 ),
inference(forward_demodulation,[],[f2391,f842]) ).
fof(f2391,plain,
( h4(op1(e13,e12)) != op2(h4(e13),e22)
| ~ spl12_3
| spl12_75 ),
inference(forward_demodulation,[],[f835,f499]) ).
fof(f835,plain,
( h4(op1(e13,e12)) != op2(h4(e13),h4(e12))
| spl12_75 ),
inference(avatar_component_clause,[],[f833]) ).
fof(f833,plain,
( spl12_75
<=> h4(op1(e13,e12)) = op2(h4(e13),h4(e12)) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_75])]) ).
fof(f2376,plain,
( ~ spl12_9
| ~ spl12_15
| spl12_74
| ~ spl12_77 ),
inference(avatar_contradiction_clause,[],[f2375]) ).
fof(f2375,plain,
( $false
| ~ spl12_9
| ~ spl12_15
| spl12_74
| ~ spl12_77 ),
inference(subsumption_resolution,[],[f2374,f1448]) ).
fof(f1448,plain,
e20 = op2(e23,e21),
inference(forward_demodulation,[],[f279,f280]) ).
fof(f279,plain,
e20 = op2(e23,op2(e23,e23)),
inference(cnf_transformation,[],[f13]) ).
fof(f2374,plain,
( e20 != op2(e23,e21)
| ~ spl12_9
| ~ spl12_15
| spl12_74
| ~ spl12_77 ),
inference(forward_demodulation,[],[f2373,f557]) ).
fof(f557,plain,
( e20 = h4(e10)
| ~ spl12_15 ),
inference(avatar_component_clause,[],[f556]) ).
fof(f556,plain,
( spl12_15
<=> e20 = h4(e10) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_15])]) ).
fof(f2373,plain,
( op2(e23,e21) != h4(e10)
| ~ spl12_9
| spl12_74
| ~ spl12_77 ),
inference(forward_demodulation,[],[f2372,f1113]) ).
fof(f1113,plain,
e10 = op1(e13,e11),
inference(forward_demodulation,[],[f116,f117]) ).
fof(f116,plain,
e10 = op1(e13,op1(e13,e13)),
inference(cnf_transformation,[],[f12]) ).
fof(f2372,plain,
( op2(e23,e21) != h4(op1(e13,e11))
| ~ spl12_9
| spl12_74
| ~ spl12_77 ),
inference(forward_demodulation,[],[f2371,f842]) ).
fof(f2371,plain,
( h4(op1(e13,e11)) != op2(h4(e13),e21)
| ~ spl12_9
| spl12_74 ),
inference(forward_demodulation,[],[f831,f528]) ).
fof(f831,plain,
( h4(op1(e13,e11)) != op2(h4(e13),h4(e11))
| spl12_74 ),
inference(avatar_component_clause,[],[f829]) ).
fof(f829,plain,
( spl12_74
<=> h4(op1(e13,e11)) = op2(h4(e13),h4(e11)) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_74])]) ).
fof(f2356,plain,
( ~ spl12_15
| spl12_73
| ~ spl12_77
| ~ spl12_145
| ~ spl12_188 ),
inference(avatar_contradiction_clause,[],[f2355]) ).
fof(f2355,plain,
( $false
| ~ spl12_15
| spl12_73
| ~ spl12_77
| ~ spl12_145
| ~ spl12_188 ),
inference(subsumption_resolution,[],[f2354,f1486]) ).
fof(f1486,plain,
( e23 = op2(e23,e20)
| ~ spl12_188 ),
inference(avatar_component_clause,[],[f1485]) ).
fof(f1485,plain,
( spl12_188
<=> e23 = op2(e23,e20) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_188])]) ).
fof(f2354,plain,
( e23 != op2(e23,e20)
| ~ spl12_15
| spl12_73
| ~ spl12_77
| ~ spl12_145 ),
inference(forward_demodulation,[],[f2353,f842]) ).
fof(f2353,plain,
( op2(e23,e20) != h4(e13)
| ~ spl12_15
| spl12_73
| ~ spl12_77
| ~ spl12_145 ),
inference(forward_demodulation,[],[f2352,f1146]) ).
fof(f1146,plain,
( e13 = op1(e13,e10)
| ~ spl12_145 ),
inference(avatar_component_clause,[],[f1145]) ).
fof(f1145,plain,
( spl12_145
<=> e13 = op1(e13,e10) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_145])]) ).
fof(f2352,plain,
( op2(e23,e20) != h4(op1(e13,e10))
| ~ spl12_15
| spl12_73
| ~ spl12_77 ),
inference(forward_demodulation,[],[f2351,f842]) ).
fof(f2351,plain,
( h4(op1(e13,e10)) != op2(h4(e13),e20)
| ~ spl12_15
| spl12_73 ),
inference(forward_demodulation,[],[f827,f557]) ).
fof(f827,plain,
( h4(op1(e13,e10)) != op2(h4(e13),h4(e10))
| spl12_73 ),
inference(avatar_component_clause,[],[f825]) ).
fof(f825,plain,
( spl12_73
<=> h4(op1(e13,e10)) = op2(h4(e13),h4(e10)) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_73])]) ).
fof(f2337,plain,
( ~ spl12_3
| ~ spl12_15
| spl12_72
| ~ spl12_77
| ~ spl12_167
| ~ spl12_210 ),
inference(avatar_contradiction_clause,[],[f2336]) ).
fof(f2336,plain,
( $false
| ~ spl12_3
| ~ spl12_15
| spl12_72
| ~ spl12_77
| ~ spl12_167
| ~ spl12_210 ),
inference(subsumption_resolution,[],[f2335,f1658]) ).
fof(f1658,plain,
( e20 = op2(e22,e23)
| ~ spl12_210 ),
inference(avatar_component_clause,[],[f1656]) ).
fof(f1656,plain,
( spl12_210
<=> e20 = op2(e22,e23) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_210])]) ).
fof(f2335,plain,
( e20 != op2(e22,e23)
| ~ spl12_3
| ~ spl12_15
| spl12_72
| ~ spl12_77
| ~ spl12_167 ),
inference(forward_demodulation,[],[f2334,f557]) ).
fof(f2334,plain,
( op2(e22,e23) != h4(e10)
| ~ spl12_3
| spl12_72
| ~ spl12_77
| ~ spl12_167 ),
inference(forward_demodulation,[],[f2333,f1316]) ).
fof(f1316,plain,
( e10 = op1(e12,e13)
| ~ spl12_167 ),
inference(avatar_component_clause,[],[f1314]) ).
fof(f1314,plain,
( spl12_167
<=> e10 = op1(e12,e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_167])]) ).
fof(f2333,plain,
( op2(e22,e23) != h4(op1(e12,e13))
| ~ spl12_3
| spl12_72
| ~ spl12_77 ),
inference(forward_demodulation,[],[f2332,f499]) ).
fof(f2332,plain,
( h4(op1(e12,e13)) != op2(h4(e12),e23)
| spl12_72
| ~ spl12_77 ),
inference(forward_demodulation,[],[f823,f842]) ).
fof(f823,plain,
( h4(op1(e12,e13)) != op2(h4(e12),h4(e13))
| spl12_72 ),
inference(avatar_component_clause,[],[f821]) ).
fof(f821,plain,
( spl12_72
<=> h4(op1(e12,e13)) = op2(h4(e12),h4(e13)) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_72])]) ).
fof(f2317,plain,
( ~ spl12_3
| spl12_71
| ~ spl12_77
| ~ spl12_151
| ~ spl12_194 ),
inference(avatar_contradiction_clause,[],[f2316]) ).
fof(f2316,plain,
( $false
| ~ spl12_3
| spl12_71
| ~ spl12_77
| ~ spl12_151
| ~ spl12_194 ),
inference(subsumption_resolution,[],[f2315,f1515]) ).
fof(f1515,plain,
( e23 = op2(e22,e22)
| ~ spl12_194 ),
inference(avatar_component_clause,[],[f1514]) ).
fof(f1514,plain,
( spl12_194
<=> e23 = op2(e22,e22) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_194])]) ).
fof(f2315,plain,
( e23 != op2(e22,e22)
| ~ spl12_3
| spl12_71
| ~ spl12_77
| ~ spl12_151 ),
inference(forward_demodulation,[],[f2314,f842]) ).
fof(f2314,plain,
( op2(e22,e22) != h4(e13)
| ~ spl12_3
| spl12_71
| ~ spl12_151 ),
inference(forward_demodulation,[],[f2313,f1175]) ).
fof(f1175,plain,
( e13 = op1(e12,e12)
| ~ spl12_151 ),
inference(avatar_component_clause,[],[f1174]) ).
fof(f1174,plain,
( spl12_151
<=> e13 = op1(e12,e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_151])]) ).
fof(f2313,plain,
( op2(e22,e22) != h4(op1(e12,e12))
| ~ spl12_3
| spl12_71 ),
inference(forward_demodulation,[],[f819,f499]) ).
fof(f819,plain,
( h4(op1(e12,e12)) != op2(h4(e12),h4(e12))
| spl12_71 ),
inference(avatar_component_clause,[],[f817]) ).
fof(f817,plain,
( spl12_71
<=> h4(op1(e12,e12)) = op2(h4(e12),h4(e12)) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_71])]) ).
fof(f2299,plain,
( ~ spl12_3
| ~ spl12_9
| spl12_70
| ~ spl12_176
| ~ spl12_219 ),
inference(avatar_contradiction_clause,[],[f2298]) ).
fof(f2298,plain,
( $false
| ~ spl12_3
| ~ spl12_9
| spl12_70
| ~ spl12_176
| ~ spl12_219 ),
inference(subsumption_resolution,[],[f2297,f1704]) ).
fof(f1704,plain,
( e21 = op2(e22,e21)
| ~ spl12_219 ),
inference(avatar_component_clause,[],[f1702]) ).
fof(f1702,plain,
( spl12_219
<=> e21 = op2(e22,e21) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_219])]) ).
fof(f2297,plain,
( e21 != op2(e22,e21)
| ~ spl12_3
| ~ spl12_9
| spl12_70
| ~ spl12_176 ),
inference(forward_demodulation,[],[f2296,f528]) ).
fof(f2296,plain,
( op2(e22,e21) != h4(e11)
| ~ spl12_3
| ~ spl12_9
| spl12_70
| ~ spl12_176 ),
inference(forward_demodulation,[],[f2295,f1362]) ).
fof(f1362,plain,
( e11 = op1(e12,e11)
| ~ spl12_176 ),
inference(avatar_component_clause,[],[f1360]) ).
fof(f1360,plain,
( spl12_176
<=> e11 = op1(e12,e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_176])]) ).
fof(f2295,plain,
( op2(e22,e21) != h4(op1(e12,e11))
| ~ spl12_3
| ~ spl12_9
| spl12_70 ),
inference(forward_demodulation,[],[f2294,f499]) ).
fof(f2294,plain,
( h4(op1(e12,e11)) != op2(h4(e12),e21)
| ~ spl12_9
| spl12_70 ),
inference(forward_demodulation,[],[f815,f528]) ).
fof(f815,plain,
( h4(op1(e12,e11)) != op2(h4(e12),h4(e11))
| spl12_70 ),
inference(avatar_component_clause,[],[f813]) ).
fof(f813,plain,
( spl12_70
<=> h4(op1(e12,e11)) = op2(h4(e12),h4(e11)) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_70])]) ).
fof(f2280,plain,
( ~ spl12_3
| ~ spl12_15
| spl12_69
| ~ spl12_154
| ~ spl12_197 ),
inference(avatar_contradiction_clause,[],[f2279]) ).
fof(f2279,plain,
( $false
| ~ spl12_3
| ~ spl12_15
| spl12_69
| ~ spl12_154
| ~ spl12_197 ),
inference(subsumption_resolution,[],[f2278,f1536]) ).
fof(f1536,plain,
( e22 = op2(e22,e20)
| ~ spl12_197 ),
inference(avatar_component_clause,[],[f1535]) ).
fof(f1535,plain,
( spl12_197
<=> e22 = op2(e22,e20) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_197])]) ).
fof(f2278,plain,
( e22 != op2(e22,e20)
| ~ spl12_3
| ~ spl12_15
| spl12_69
| ~ spl12_154 ),
inference(forward_demodulation,[],[f2277,f499]) ).
fof(f2277,plain,
( op2(e22,e20) != h4(e12)
| ~ spl12_3
| ~ spl12_15
| spl12_69
| ~ spl12_154 ),
inference(forward_demodulation,[],[f2276,f1195]) ).
fof(f1195,plain,
( e12 = op1(e12,e10)
| ~ spl12_154 ),
inference(avatar_component_clause,[],[f1194]) ).
fof(f1194,plain,
( spl12_154
<=> e12 = op1(e12,e10) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_154])]) ).
fof(f2276,plain,
( op2(e22,e20) != h4(op1(e12,e10))
| ~ spl12_3
| ~ spl12_15
| spl12_69 ),
inference(forward_demodulation,[],[f2275,f499]) ).
fof(f2275,plain,
( h4(op1(e12,e10)) != op2(h4(e12),e20)
| ~ spl12_15
| spl12_69 ),
inference(forward_demodulation,[],[f811,f557]) ).
fof(f811,plain,
( h4(op1(e12,e10)) != op2(h4(e12),h4(e10))
| spl12_69 ),
inference(avatar_component_clause,[],[f809]) ).
fof(f809,plain,
( spl12_69
<=> h4(op1(e12,e10)) = op2(h4(e12),h4(e10)) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_69])]) ).
fof(f2260,plain,
( ~ spl12_3
| ~ spl12_9
| spl12_68
| ~ spl12_77
| ~ spl12_163
| ~ spl12_206 ),
inference(avatar_contradiction_clause,[],[f2259]) ).
fof(f2259,plain,
( $false
| ~ spl12_3
| ~ spl12_9
| spl12_68
| ~ spl12_77
| ~ spl12_163
| ~ spl12_206 ),
inference(subsumption_resolution,[],[f2258,f1637]) ).
fof(f1637,plain,
( e22 = op2(e21,e23)
| ~ spl12_206 ),
inference(avatar_component_clause,[],[f1635]) ).
fof(f1635,plain,
( spl12_206
<=> e22 = op2(e21,e23) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_206])]) ).
fof(f2258,plain,
( e22 != op2(e21,e23)
| ~ spl12_3
| ~ spl12_9
| spl12_68
| ~ spl12_77
| ~ spl12_163 ),
inference(forward_demodulation,[],[f2257,f499]) ).
fof(f2257,plain,
( op2(e21,e23) != h4(e12)
| ~ spl12_9
| spl12_68
| ~ spl12_77
| ~ spl12_163 ),
inference(forward_demodulation,[],[f2256,f1294]) ).
fof(f1294,plain,
( e12 = op1(e11,e13)
| ~ spl12_163 ),
inference(avatar_component_clause,[],[f1292]) ).
fof(f1292,plain,
( spl12_163
<=> e12 = op1(e11,e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_163])]) ).
fof(f2256,plain,
( op2(e21,e23) != h4(op1(e11,e13))
| ~ spl12_9
| spl12_68
| ~ spl12_77 ),
inference(forward_demodulation,[],[f2255,f528]) ).
fof(f2255,plain,
( h4(op1(e11,e13)) != op2(h4(e11),e23)
| spl12_68
| ~ spl12_77 ),
inference(forward_demodulation,[],[f807,f842]) ).
fof(f807,plain,
( h4(op1(e11,e13)) != op2(h4(e11),h4(e13))
| spl12_68 ),
inference(avatar_component_clause,[],[f805]) ).
fof(f805,plain,
( spl12_68
<=> h4(op1(e11,e13)) = op2(h4(e11),h4(e13)) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_68])]) ).
fof(f2241,plain,
( ~ spl12_3
| ~ spl12_9
| spl12_67
| ~ spl12_156
| ~ spl12_199 ),
inference(avatar_contradiction_clause,[],[f2240]) ).
fof(f2240,plain,
( $false
| ~ spl12_3
| ~ spl12_9
| spl12_67
| ~ spl12_156
| ~ spl12_199 ),
inference(subsumption_resolution,[],[f2239,f1553]) ).
fof(f1553,plain,
( e21 = op2(e21,e22)
| ~ spl12_199 ),
inference(avatar_component_clause,[],[f1552]) ).
fof(f1552,plain,
( spl12_199
<=> e21 = op2(e21,e22) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_199])]) ).
fof(f2239,plain,
( e21 != op2(e21,e22)
| ~ spl12_3
| ~ spl12_9
| spl12_67
| ~ spl12_156 ),
inference(forward_demodulation,[],[f2238,f528]) ).
fof(f2238,plain,
( op2(e21,e22) != h4(e11)
| ~ spl12_3
| ~ spl12_9
| spl12_67
| ~ spl12_156 ),
inference(forward_demodulation,[],[f2237,f1212]) ).
fof(f2237,plain,
( op2(e21,e22) != h4(op1(e11,e12))
| ~ spl12_3
| ~ spl12_9
| spl12_67 ),
inference(forward_demodulation,[],[f2236,f528]) ).
fof(f2236,plain,
( h4(op1(e11,e12)) != op2(h4(e11),e22)
| ~ spl12_3
| spl12_67 ),
inference(forward_demodulation,[],[f803,f499]) ).
fof(f803,plain,
( h4(op1(e11,e12)) != op2(h4(e11),h4(e12))
| spl12_67 ),
inference(avatar_component_clause,[],[f801]) ).
fof(f801,plain,
( spl12_67
<=> h4(op1(e11,e12)) = op2(h4(e11),h4(e12)) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_67])]) ).
fof(f2221,plain,
( ~ spl12_9
| spl12_66
| ~ spl12_77
| ~ spl12_152
| ~ spl12_195 ),
inference(avatar_contradiction_clause,[],[f2220]) ).
fof(f2220,plain,
( $false
| ~ spl12_9
| spl12_66
| ~ spl12_77
| ~ spl12_152
| ~ spl12_195 ),
inference(subsumption_resolution,[],[f2219,f1520]) ).
fof(f1520,plain,
( e23 = op2(e21,e21)
| ~ spl12_195 ),
inference(avatar_component_clause,[],[f1519]) ).
fof(f1519,plain,
( spl12_195
<=> e23 = op2(e21,e21) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_195])]) ).
fof(f2219,plain,
( e23 != op2(e21,e21)
| ~ spl12_9
| spl12_66
| ~ spl12_77
| ~ spl12_152 ),
inference(forward_demodulation,[],[f2218,f842]) ).
fof(f2218,plain,
( op2(e21,e21) != h4(e13)
| ~ spl12_9
| spl12_66
| ~ spl12_152 ),
inference(forward_demodulation,[],[f2217,f1180]) ).
fof(f1180,plain,
( e13 = op1(e11,e11)
| ~ spl12_152 ),
inference(avatar_component_clause,[],[f1179]) ).
fof(f1179,plain,
( spl12_152
<=> e13 = op1(e11,e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_152])]) ).
fof(f2217,plain,
( op2(e21,e21) != h4(op1(e11,e11))
| ~ spl12_9
| spl12_66 ),
inference(forward_demodulation,[],[f799,f528]) ).
fof(f799,plain,
( h4(op1(e11,e11)) != op2(h4(e11),h4(e11))
| spl12_66 ),
inference(avatar_component_clause,[],[f797]) ).
fof(f797,plain,
( spl12_66
<=> h4(op1(e11,e11)) = op2(h4(e11),h4(e11)) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_66])]) ).
fof(f2203,plain,
( ~ spl12_9
| ~ spl12_15
| spl12_65
| ~ spl12_181
| ~ spl12_224 ),
inference(avatar_contradiction_clause,[],[f2202]) ).
fof(f2202,plain,
( $false
| ~ spl12_9
| ~ spl12_15
| spl12_65
| ~ spl12_181
| ~ spl12_224 ),
inference(subsumption_resolution,[],[f2201,f1743]) ).
fof(f1743,plain,
( e20 = op2(e21,e20)
| ~ spl12_224 ),
inference(avatar_component_clause,[],[f1741]) ).
fof(f1741,plain,
( spl12_224
<=> e20 = op2(e21,e20) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_224])]) ).
fof(f2201,plain,
( e20 != op2(e21,e20)
| ~ spl12_9
| ~ spl12_15
| spl12_65
| ~ spl12_181 ),
inference(forward_demodulation,[],[f2200,f557]) ).
fof(f2200,plain,
( op2(e21,e20) != h4(e10)
| ~ spl12_9
| ~ spl12_15
| spl12_65
| ~ spl12_181 ),
inference(forward_demodulation,[],[f2199,f1402]) ).
fof(f1402,plain,
( e10 = op1(e11,e10)
| ~ spl12_181 ),
inference(avatar_component_clause,[],[f1400]) ).
fof(f1400,plain,
( spl12_181
<=> e10 = op1(e11,e10) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_181])]) ).
fof(f2199,plain,
( op2(e21,e20) != h4(op1(e11,e10))
| ~ spl12_9
| ~ spl12_15
| spl12_65 ),
inference(forward_demodulation,[],[f2198,f528]) ).
fof(f2198,plain,
( h4(op1(e11,e10)) != op2(h4(e11),e20)
| ~ spl12_15
| spl12_65 ),
inference(forward_demodulation,[],[f795,f557]) ).
fof(f795,plain,
( h4(op1(e11,e10)) != op2(h4(e11),h4(e10))
| spl12_65 ),
inference(avatar_component_clause,[],[f793]) ).
fof(f793,plain,
( spl12_65
<=> h4(op1(e11,e10)) = op2(h4(e11),h4(e10)) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_65])]) ).
fof(f2176,plain,
( ~ spl12_15
| spl12_64
| ~ spl12_77
| ~ spl12_160
| ~ spl12_203 ),
inference(avatar_contradiction_clause,[],[f2175]) ).
fof(f2175,plain,
( $false
| ~ spl12_15
| spl12_64
| ~ spl12_77
| ~ spl12_160
| ~ spl12_203 ),
inference(subsumption_resolution,[],[f2174,f1617]) ).
fof(f1617,plain,
( e23 = op2(e20,e23)
| ~ spl12_203 ),
inference(avatar_component_clause,[],[f1615]) ).
fof(f1615,plain,
( spl12_203
<=> e23 = op2(e20,e23) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_203])]) ).
fof(f2174,plain,
( e23 != op2(e20,e23)
| ~ spl12_15
| spl12_64
| ~ spl12_77
| ~ spl12_160 ),
inference(forward_demodulation,[],[f2173,f842]) ).
fof(f2173,plain,
( op2(e20,e23) != h4(e13)
| ~ spl12_15
| spl12_64
| ~ spl12_77
| ~ spl12_160 ),
inference(forward_demodulation,[],[f2172,f1273]) ).
fof(f1273,plain,
( e13 = op1(e10,e13)
| ~ spl12_160 ),
inference(avatar_component_clause,[],[f1271]) ).
fof(f1271,plain,
( spl12_160
<=> e13 = op1(e10,e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_160])]) ).
fof(f2172,plain,
( op2(e20,e23) != h4(op1(e10,e13))
| ~ spl12_15
| spl12_64
| ~ spl12_77 ),
inference(forward_demodulation,[],[f2171,f557]) ).
fof(f2171,plain,
( h4(op1(e10,e13)) != op2(h4(e10),e23)
| spl12_64
| ~ spl12_77 ),
inference(forward_demodulation,[],[f791,f842]) ).
fof(f791,plain,
( h4(op1(e10,e13)) != op2(h4(e10),h4(e13))
| spl12_64 ),
inference(avatar_component_clause,[],[f789]) ).
fof(f789,plain,
( spl12_64
<=> h4(op1(e10,e13)) = op2(h4(e10),h4(e13)) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_64])]) ).
fof(f2165,plain,
( ~ spl12_214
| ~ spl12_219 ),
inference(avatar_contradiction_clause,[],[f2164]) ).
fof(f2164,plain,
( $false
| ~ spl12_214
| ~ spl12_219 ),
inference(subsumption_resolution,[],[f2163,f1450]) ).
fof(f1450,plain,
e21 != e23,
inference(forward_demodulation,[],[f483,f280]) ).
fof(f483,plain,
e23 != op2(e23,e23),
inference(duplicate_literal_removal,[],[f345]) ).
fof(f345,plain,
( e23 != op2(e23,e23)
| e23 != op2(e23,e23) ),
inference(cnf_transformation,[],[f11]) ).
fof(f11,axiom,
( ( e23 != op2(e23,e23)
| e23 != op2(e23,e23) )
& ( e23 != op2(e22,e22)
| e23 != op2(e23,e23) )
& ( e23 != op2(e21,e21)
| e23 != op2(e23,e23) )
& ( op2(e20,e20) != e23
| e23 != op2(e23,e23) )
& ( e22 != op2(e23,e23)
| e23 != op2(e23,e22) )
& ( e22 != op2(e22,e22)
| e23 != op2(e23,e22) )
& ( e22 != op2(e21,e21)
| e23 != op2(e23,e22) )
& ( op2(e20,e20) != e22
| e23 != op2(e23,e22) )
& ( e21 != op2(e23,e23)
| e23 != op2(e23,e21) )
& ( e21 != op2(e22,e22)
| e23 != op2(e23,e21) )
& ( e21 != op2(e21,e21)
| e23 != op2(e23,e21) )
& ( op2(e20,e20) != e21
| e23 != op2(e23,e21) )
& ( e20 != op2(e23,e23)
| e23 != op2(e23,e20) )
& ( e20 != op2(e22,e22)
| e23 != op2(e23,e20) )
& ( e20 != op2(e21,e21)
| e23 != op2(e23,e20) )
& ( e20 != op2(e20,e20)
| e23 != op2(e23,e20) )
& ( e23 != op2(e23,e23)
| e22 != op2(e22,e23) )
& ( e23 != op2(e22,e22)
| e22 != op2(e22,e23) )
& ( e23 != op2(e21,e21)
| e22 != op2(e22,e23) )
& ( op2(e20,e20) != e23
| e22 != op2(e22,e23) )
& ( e22 != op2(e23,e23)
| e22 != op2(e22,e22) )
& ( e22 != op2(e22,e22)
| e22 != op2(e22,e22) )
& ( e22 != op2(e21,e21)
| e22 != op2(e22,e22) )
& ( op2(e20,e20) != e22
| e22 != op2(e22,e22) )
& ( e21 != op2(e23,e23)
| e22 != op2(e22,e21) )
& ( e21 != op2(e22,e22)
| e22 != op2(e22,e21) )
& ( e21 != op2(e21,e21)
| e22 != op2(e22,e21) )
& ( op2(e20,e20) != e21
| e22 != op2(e22,e21) )
& ( e20 != op2(e23,e23)
| e22 != op2(e22,e20) )
& ( e20 != op2(e22,e22)
| e22 != op2(e22,e20) )
& ( e20 != op2(e21,e21)
| e22 != op2(e22,e20) )
& ( e20 != op2(e20,e20)
| e22 != op2(e22,e20) )
& ( e23 != op2(e23,e23)
| e21 != op2(e21,e23) )
& ( e23 != op2(e22,e22)
| e21 != op2(e21,e23) )
& ( e23 != op2(e21,e21)
| e21 != op2(e21,e23) )
& ( op2(e20,e20) != e23
| e21 != op2(e21,e23) )
& ( e22 != op2(e23,e23)
| e21 != op2(e21,e22) )
& ( e22 != op2(e22,e22)
| e21 != op2(e21,e22) )
& ( e22 != op2(e21,e21)
| e21 != op2(e21,e22) )
& ( op2(e20,e20) != e22
| e21 != op2(e21,e22) )
& ( e21 != op2(e23,e23)
| e21 != op2(e21,e21) )
& ( e21 != op2(e22,e22)
| e21 != op2(e21,e21) )
& ( e21 != op2(e21,e21)
| e21 != op2(e21,e21) )
& ( op2(e20,e20) != e21
| e21 != op2(e21,e21) )
& ( e20 != op2(e23,e23)
| e21 != op2(e21,e20) )
& ( e20 != op2(e22,e22)
| e21 != op2(e21,e20) )
& ( e20 != op2(e21,e21)
| e21 != op2(e21,e20) )
& ( e20 != op2(e20,e20)
| e21 != op2(e21,e20) )
& ( e23 != op2(e23,e23)
| e20 != op2(e20,e23) )
& ( e23 != op2(e22,e22)
| e20 != op2(e20,e23) )
& ( e23 != op2(e21,e21)
| e20 != op2(e20,e23) )
& ( op2(e20,e20) != e23
| e20 != op2(e20,e23) )
& ( e22 != op2(e23,e23)
| e20 != op2(e20,e22) )
& ( e22 != op2(e22,e22)
| e20 != op2(e20,e22) )
& ( e22 != op2(e21,e21)
| e20 != op2(e20,e22) )
& ( op2(e20,e20) != e22
| e20 != op2(e20,e22) )
& ( e21 != op2(e23,e23)
| e20 != op2(e20,e21) )
& ( e21 != op2(e22,e22)
| e20 != op2(e20,e21) )
& ( e21 != op2(e21,e21)
| e20 != op2(e20,e21) )
& ( op2(e20,e20) != e21
| e20 != op2(e20,e21) )
& ( e20 != op2(e23,e23)
| e20 != op2(e20,e20) )
& ( e20 != op2(e22,e22)
| e20 != op2(e20,e20) )
& ( e20 != op2(e21,e21)
| e20 != op2(e20,e20) )
& ( e20 != op2(e20,e20)
| e20 != op2(e20,e20) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax11) ).
fof(f2163,plain,
( e21 = e23
| ~ spl12_214
| ~ spl12_219 ),
inference(forward_demodulation,[],[f1676,f1704]) ).
fof(f1676,plain,
( e23 = op2(e22,e21)
| ~ spl12_214 ),
inference(avatar_component_clause,[],[f1674]) ).
fof(f1674,plain,
( spl12_214
<=> e23 = op2(e22,e21) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_214])]) ).
fof(f2160,plain,
( spl12_24
| ~ spl12_217 ),
inference(avatar_contradiction_clause,[],[f2159]) ).
fof(f2159,plain,
( $false
| spl12_24
| ~ spl12_217 ),
inference(subsumption_resolution,[],[f2158,f601]) ).
fof(f601,plain,
( e21 != h3(e11)
| spl12_24 ),
inference(avatar_component_clause,[],[f599]) ).
fof(f599,plain,
( spl12_24
<=> e21 = h3(e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_24])]) ).
fof(f2158,plain,
( e21 = h3(e11)
| ~ spl12_217 ),
inference(forward_demodulation,[],[f474,f1694]) ).
fof(f1694,plain,
( e21 = op2(e22,e22)
| ~ spl12_217 ),
inference(avatar_component_clause,[],[f1692]) ).
fof(f1692,plain,
( spl12_217
<=> e21 = op2(e22,e22) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_217])]) ).
fof(f474,plain,
op2(e22,e22) = h3(e11),
inference(cnf_transformation,[],[f16]) ).
fof(f16,axiom,
( h3(e12) = op2(op2(e22,op2(e22,e22)),op2(e22,e22))
& op2(e22,e22) = h3(e11)
& h3(e10) = op2(e22,op2(e22,e22))
& e22 = h3(e13) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax16) ).
fof(f2141,plain,
( ~ spl12_9
| ~ spl12_15
| spl12_61
| ~ spl12_182
| ~ spl12_225 ),
inference(avatar_contradiction_clause,[],[f2140]) ).
fof(f2140,plain,
( $false
| ~ spl12_9
| ~ spl12_15
| spl12_61
| ~ spl12_182
| ~ spl12_225 ),
inference(subsumption_resolution,[],[f2139,f1754]) ).
fof(f1754,plain,
( op2(e20,e20) = e21
| ~ spl12_225 ),
inference(avatar_component_clause,[],[f1752]) ).
fof(f1752,plain,
( spl12_225
<=> op2(e20,e20) = e21 ),
introduced(avatar_definition,[new_symbols(naming,[spl12_225])]) ).
fof(f2139,plain,
( op2(e20,e20) != e21
| ~ spl12_9
| ~ spl12_15
| spl12_61
| ~ spl12_182 ),
inference(forward_demodulation,[],[f2138,f528]) ).
fof(f2138,plain,
( op2(e20,e20) != h4(e11)
| ~ spl12_15
| spl12_61
| ~ spl12_182 ),
inference(forward_demodulation,[],[f2137,f1413]) ).
fof(f1413,plain,
( op1(e10,e10) = e11
| ~ spl12_182 ),
inference(avatar_component_clause,[],[f1411]) ).
fof(f1411,plain,
( spl12_182
<=> op1(e10,e10) = e11 ),
introduced(avatar_definition,[new_symbols(naming,[spl12_182])]) ).
fof(f2137,plain,
( op2(e20,e20) != h4(op1(e10,e10))
| ~ spl12_15
| spl12_61 ),
inference(forward_demodulation,[],[f779,f557]) ).
fof(f779,plain,
( h4(op1(e10,e10)) != op2(h4(e10),h4(e10))
| spl12_61 ),
inference(avatar_component_clause,[],[f777]) ).
fof(f777,plain,
( spl12_61
<=> h4(op1(e10,e10)) = op2(h4(e10),h4(e10)) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_61])]) ).
fof(f2130,plain,
( ~ spl12_183
| ~ spl12_208 ),
inference(avatar_contradiction_clause,[],[f2129]) ).
fof(f2129,plain,
( $false
| ~ spl12_183
| ~ spl12_208 ),
inference(subsumption_resolution,[],[f2128,f367]) ).
fof(f367,plain,
e22 != e23,
inference(cnf_transformation,[],[f8]) ).
fof(f8,axiom,
( e22 != e23
& e21 != e23
& e21 != e22
& e20 != e23
& e20 != e22
& e20 != e21 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax8) ).
fof(f2128,plain,
( e22 = e23
| ~ spl12_183
| ~ spl12_208 ),
inference(forward_demodulation,[],[f1457,f1649]) ).
fof(f1457,plain,
( e23 = op2(e23,e22)
| ~ spl12_183 ),
inference(avatar_component_clause,[],[f1456]) ).
fof(f1456,plain,
( spl12_183
<=> e23 = op2(e23,e22) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_183])]) ).
fof(f2123,plain,
( ~ spl12_197
| ~ spl12_213 ),
inference(avatar_contradiction_clause,[],[f2122]) ).
fof(f2122,plain,
( $false
| ~ spl12_197
| ~ spl12_213 ),
inference(subsumption_resolution,[],[f2121,f367]) ).
fof(f2121,plain,
( e22 = e23
| ~ spl12_197
| ~ spl12_213 ),
inference(forward_demodulation,[],[f1672,f1536]) ).
fof(f1672,plain,
( e23 = op2(e22,e20)
| ~ spl12_213 ),
inference(avatar_component_clause,[],[f1670]) ).
fof(f1670,plain,
( spl12_213
<=> e23 = op2(e22,e20) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_213])]) ).
fof(f2098,plain,
( ~ spl12_3
| ~ spl12_15
| spl12_63
| ~ spl12_159
| ~ spl12_202 ),
inference(avatar_contradiction_clause,[],[f2097]) ).
fof(f2097,plain,
( $false
| ~ spl12_3
| ~ spl12_15
| spl12_63
| ~ spl12_159
| ~ spl12_202 ),
inference(subsumption_resolution,[],[f2096,f1579]) ).
fof(f1579,plain,
( e20 = op2(e20,e22)
| ~ spl12_202 ),
inference(avatar_component_clause,[],[f1578]) ).
fof(f1578,plain,
( spl12_202
<=> e20 = op2(e20,e22) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_202])]) ).
fof(f2096,plain,
( e20 != op2(e20,e22)
| ~ spl12_3
| ~ spl12_15
| spl12_63
| ~ spl12_159 ),
inference(forward_demodulation,[],[f2095,f557]) ).
fof(f2095,plain,
( op2(e20,e22) != h4(e10)
| ~ spl12_3
| ~ spl12_15
| spl12_63
| ~ spl12_159 ),
inference(forward_demodulation,[],[f2094,f1237]) ).
fof(f1237,plain,
( e10 = op1(e10,e12)
| ~ spl12_159 ),
inference(avatar_component_clause,[],[f1236]) ).
fof(f1236,plain,
( spl12_159
<=> e10 = op1(e10,e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_159])]) ).
fof(f2094,plain,
( op2(e20,e22) != h4(op1(e10,e12))
| ~ spl12_3
| ~ spl12_15
| spl12_63 ),
inference(forward_demodulation,[],[f2093,f557]) ).
fof(f2093,plain,
( h4(op1(e10,e12)) != op2(h4(e10),e22)
| ~ spl12_3
| spl12_63 ),
inference(forward_demodulation,[],[f787,f499]) ).
fof(f787,plain,
( h4(op1(e10,e12)) != op2(h4(e10),h4(e12))
| spl12_63 ),
inference(avatar_component_clause,[],[f785]) ).
fof(f785,plain,
( spl12_63
<=> h4(op1(e10,e12)) = op2(h4(e10),h4(e12)) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_63])]) ).
fof(f2022,plain,
( ~ spl12_215
| ~ spl12_206 ),
inference(avatar_split_clause,[],[f2021,f1635,f1680]) ).
fof(f1680,plain,
( spl12_215
<=> e22 = op2(e21,e22) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_215])]) ).
fof(f2021,plain,
( e22 != op2(e21,e22)
| ~ spl12_206 ),
inference(forward_demodulation,[],[f403,f1637]) ).
fof(f403,plain,
op2(e21,e22) != op2(e21,e23),
inference(cnf_transformation,[],[f6]) ).
fof(f6,axiom,
( op2(e23,e22) != op2(e23,e23)
& op2(e23,e21) != op2(e23,e23)
& op2(e23,e21) != op2(e23,e22)
& op2(e23,e20) != op2(e23,e23)
& op2(e23,e20) != op2(e23,e22)
& op2(e23,e20) != op2(e23,e21)
& op2(e22,e22) != op2(e22,e23)
& op2(e22,e21) != op2(e22,e23)
& op2(e22,e21) != op2(e22,e22)
& op2(e22,e20) != op2(e22,e23)
& op2(e22,e20) != op2(e22,e22)
& op2(e22,e20) != op2(e22,e21)
& op2(e21,e22) != op2(e21,e23)
& op2(e21,e21) != op2(e21,e23)
& op2(e21,e21) != op2(e21,e22)
& op2(e21,e20) != op2(e21,e23)
& op2(e21,e20) != op2(e21,e22)
& op2(e21,e20) != op2(e21,e21)
& op2(e20,e22) != op2(e20,e23)
& op2(e20,e21) != op2(e20,e23)
& op2(e20,e21) != op2(e20,e22)
& op2(e20,e20) != op2(e20,e23)
& op2(e20,e20) != op2(e20,e22)
& op2(e20,e20) != op2(e20,e21)
& op2(e22,e23) != op2(e23,e23)
& op2(e21,e23) != op2(e23,e23)
& op2(e21,e23) != op2(e22,e23)
& op2(e20,e23) != op2(e23,e23)
& op2(e20,e23) != op2(e22,e23)
& op2(e20,e23) != op2(e21,e23)
& op2(e22,e22) != op2(e23,e22)
& op2(e21,e22) != op2(e23,e22)
& op2(e21,e22) != op2(e22,e22)
& op2(e20,e22) != op2(e23,e22)
& op2(e20,e22) != op2(e22,e22)
& op2(e20,e22) != op2(e21,e22)
& op2(e22,e21) != op2(e23,e21)
& op2(e21,e21) != op2(e23,e21)
& op2(e21,e21) != op2(e22,e21)
& op2(e20,e21) != op2(e23,e21)
& op2(e20,e21) != op2(e22,e21)
& op2(e20,e21) != op2(e21,e21)
& op2(e22,e20) != op2(e23,e20)
& op2(e21,e20) != op2(e23,e20)
& op2(e21,e20) != op2(e22,e20)
& op2(e20,e20) != op2(e23,e20)
& op2(e20,e20) != op2(e22,e20)
& op2(e20,e20) != op2(e21,e20) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax6) ).
fof(f2020,plain,
( ~ spl12_205
| ~ spl12_203 ),
inference(avatar_split_clause,[],[f2019,f1615,f1623]) ).
fof(f1623,plain,
( spl12_205
<=> e23 = op2(e22,e23) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_205])]) ).
fof(f2019,plain,
( e23 != op2(e22,e23)
| ~ spl12_203 ),
inference(forward_demodulation,[],[f387,f1617]) ).
fof(f387,plain,
op2(e20,e23) != op2(e22,e23),
inference(cnf_transformation,[],[f6]) ).
fof(f1991,plain,
( ~ spl12_162
| ~ spl12_160 ),
inference(avatar_split_clause,[],[f1990,f1271,f1279]) ).
fof(f1279,plain,
( spl12_162
<=> e13 = op1(e12,e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_162])]) ).
fof(f1990,plain,
( e13 != op1(e12,e13)
| ~ spl12_160 ),
inference(forward_demodulation,[],[f202,f1273]) ).
fof(f202,plain,
op1(e10,e13) != op1(e12,e13),
inference(cnf_transformation,[],[f5]) ).
fof(f5,axiom,
( op1(e13,e12) != op1(e13,e13)
& op1(e13,e11) != op1(e13,e13)
& op1(e13,e11) != op1(e13,e12)
& op1(e13,e10) != op1(e13,e13)
& op1(e13,e10) != op1(e13,e12)
& op1(e13,e10) != op1(e13,e11)
& op1(e12,e12) != op1(e12,e13)
& op1(e12,e11) != op1(e12,e13)
& op1(e12,e11) != op1(e12,e12)
& op1(e12,e10) != op1(e12,e13)
& op1(e12,e10) != op1(e12,e12)
& op1(e12,e10) != op1(e12,e11)
& op1(e11,e12) != op1(e11,e13)
& op1(e11,e11) != op1(e11,e13)
& op1(e11,e11) != op1(e11,e12)
& op1(e11,e10) != op1(e11,e13)
& op1(e11,e10) != op1(e11,e12)
& op1(e11,e10) != op1(e11,e11)
& op1(e10,e12) != op1(e10,e13)
& op1(e10,e11) != op1(e10,e13)
& op1(e10,e11) != op1(e10,e12)
& op1(e10,e10) != op1(e10,e13)
& op1(e10,e10) != op1(e10,e12)
& op1(e10,e10) != op1(e10,e11)
& op1(e12,e13) != op1(e13,e13)
& op1(e11,e13) != op1(e13,e13)
& op1(e11,e13) != op1(e12,e13)
& op1(e10,e13) != op1(e13,e13)
& op1(e10,e13) != op1(e12,e13)
& op1(e10,e13) != op1(e11,e13)
& op1(e12,e12) != op1(e13,e12)
& op1(e11,e12) != op1(e13,e12)
& op1(e11,e12) != op1(e12,e12)
& op1(e10,e12) != op1(e13,e12)
& op1(e10,e12) != op1(e12,e12)
& op1(e10,e12) != op1(e11,e12)
& op1(e12,e11) != op1(e13,e11)
& op1(e11,e11) != op1(e13,e11)
& op1(e11,e11) != op1(e12,e11)
& op1(e10,e11) != op1(e13,e11)
& op1(e10,e11) != op1(e12,e11)
& op1(e10,e11) != op1(e11,e11)
& op1(e12,e10) != op1(e13,e10)
& op1(e11,e10) != op1(e13,e10)
& op1(e11,e10) != op1(e12,e10)
& op1(e10,e10) != op1(e13,e10)
& op1(e10,e10) != op1(e12,e10)
& op1(e10,e10) != op1(e11,e10) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax5) ).
fof(f1979,plain,
( ~ spl12_3
| ~ spl12_9
| ~ spl12_15
| spl12_62 ),
inference(avatar_split_clause,[],[f1978,f781,f556,f527,f498]) ).
fof(f781,plain,
( spl12_62
<=> h4(op1(e10,e11)) = op2(h4(e10),h4(e11)) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_62])]) ).
fof(f1978,plain,
( e22 != h4(e12)
| ~ spl12_9
| ~ spl12_15
| spl12_62 ),
inference(forward_demodulation,[],[f1977,f1449]) ).
fof(f1449,plain,
e22 = op2(e20,e21),
inference(backward_demodulation,[],[f1447,f1448]) ).
fof(f1447,plain,
e22 = op2(op2(e23,e21),e21),
inference(backward_demodulation,[],[f281,f280]) ).
fof(f281,plain,
e22 = op2(op2(e23,op2(e23,e23)),op2(e23,e23)),
inference(cnf_transformation,[],[f13]) ).
fof(f1977,plain,
( op2(e20,e21) != h4(e12)
| ~ spl12_9
| ~ spl12_15
| spl12_62 ),
inference(backward_demodulation,[],[f1976,f528]) ).
fof(f1976,plain,
( h4(e12) != op2(e20,h4(e11))
| ~ spl12_15
| spl12_62 ),
inference(backward_demodulation,[],[f1972,f557]) ).
fof(f1972,plain,
( h4(e12) != op2(h4(e10),h4(e11))
| spl12_62 ),
inference(forward_demodulation,[],[f783,f1114]) ).
fof(f1114,plain,
e12 = op1(e10,e11),
inference(backward_demodulation,[],[f1112,f1113]) ).
fof(f1112,plain,
e12 = op1(op1(e13,e11),e11),
inference(backward_demodulation,[],[f118,f117]) ).
fof(f118,plain,
e12 = op1(op1(e13,op1(e13,e13)),op1(e13,e13)),
inference(cnf_transformation,[],[f12]) ).
fof(f783,plain,
( h4(op1(e10,e11)) != op2(h4(e10),h4(e11))
| spl12_62 ),
inference(avatar_component_clause,[],[f781]) ).
fof(f1953,plain,
( ~ spl12_159
| ~ spl12_173 ),
inference(avatar_contradiction_clause,[],[f1952]) ).
fof(f1952,plain,
( $false
| ~ spl12_159
| ~ spl12_173 ),
inference(subsumption_resolution,[],[f1951,f110]) ).
fof(f110,plain,
e10 != e11,
inference(cnf_transformation,[],[f7]) ).
fof(f1951,plain,
( e10 = e11
| ~ spl12_159
| ~ spl12_173 ),
inference(backward_demodulation,[],[f1348,f1237]) ).
fof(f1348,plain,
( e11 = op1(e10,e12)
| ~ spl12_173 ),
inference(avatar_component_clause,[],[f1346]) ).
fof(f1346,plain,
( spl12_173
<=> e11 = op1(e10,e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_173])]) ).
fof(f1950,plain,
( ~ spl12_153
| ~ spl12_160 ),
inference(avatar_split_clause,[],[f1949,f1271,f1184]) ).
fof(f1184,plain,
( spl12_153
<=> op1(e10,e10) = e13 ),
introduced(avatar_definition,[new_symbols(naming,[spl12_153])]) ).
fof(f1949,plain,
( op1(e10,e10) != e13
| ~ spl12_160 ),
inference(backward_demodulation,[],[f209,f1273]) ).
fof(f209,plain,
op1(e10,e10) != op1(e10,e13),
inference(cnf_transformation,[],[f5]) ).
fof(f1941,plain,
( ~ spl12_164
| ~ spl12_165 ),
inference(avatar_split_clause,[],[f1938,f1305,f1301]) ).
fof(f1301,plain,
( spl12_164
<=> e12 = op1(e13,e10) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_164])]) ).
fof(f1938,plain,
( e12 != op1(e13,e10)
| ~ spl12_165 ),
inference(backward_demodulation,[],[f226,f1307]) ).
fof(f226,plain,
op1(e13,e10) != op1(e13,e12),
inference(cnf_transformation,[],[f5]) ).
fof(f1916,plain,
( ~ spl12_174
| ~ spl12_176 ),
inference(avatar_split_clause,[],[f1913,f1360,f1350]) ).
fof(f1350,plain,
( spl12_174
<=> e11 = op1(e12,e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_174])]) ).
fof(f1913,plain,
( e11 != op1(e12,e12)
| ~ spl12_176 ),
inference(backward_demodulation,[],[f222,f1362]) ).
fof(f222,plain,
op1(e12,e11) != op1(e12,e12),
inference(cnf_transformation,[],[f5]) ).
fof(f1911,plain,
( ~ spl12_167
| ~ spl12_178 ),
inference(avatar_split_clause,[],[f1907,f1372,f1314]) ).
fof(f1372,plain,
( spl12_178
<=> e10 = op1(e12,e10) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_178])]) ).
fof(f1907,plain,
( e10 != op1(e12,e13)
| ~ spl12_178 ),
inference(backward_demodulation,[],[f221,f1374]) ).
fof(f1374,plain,
( e10 = op1(e12,e10)
| ~ spl12_178 ),
inference(avatar_component_clause,[],[f1372]) ).
fof(f221,plain,
op1(e12,e10) != op1(e12,e13),
inference(cnf_transformation,[],[f5]) ).
fof(f1878,plain,
( ~ spl12_202
| ~ spl12_216 ),
inference(avatar_contradiction_clause,[],[f1877]) ).
fof(f1877,plain,
( $false
| ~ spl12_202
| ~ spl12_216 ),
inference(subsumption_resolution,[],[f1876,f362]) ).
fof(f362,plain,
e20 != e21,
inference(cnf_transformation,[],[f8]) ).
fof(f1876,plain,
( e20 = e21
| ~ spl12_202
| ~ spl12_216 ),
inference(backward_demodulation,[],[f1690,f1579]) ).
fof(f1690,plain,
( e21 = op2(e20,e22)
| ~ spl12_216 ),
inference(avatar_component_clause,[],[f1688]) ).
fof(f1688,plain,
( spl12_216
<=> e21 = op2(e20,e22) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_216])]) ).
fof(f1838,plain,
( ~ spl12_24
| ~ spl12_219 ),
inference(avatar_split_clause,[],[f1834,f1702,f599]) ).
fof(f1834,plain,
( e21 != h3(e11)
| ~ spl12_219 ),
inference(backward_demodulation,[],[f1808,f1704]) ).
fof(f1808,plain,
op2(e22,e21) != h3(e11),
inference(backward_demodulation,[],[f407,f474]) ).
fof(f407,plain,
op2(e22,e21) != op2(e22,e22),
inference(cnf_transformation,[],[f6]) ).
fof(f1833,plain,
( ~ spl12_210
| ~ spl12_221 ),
inference(avatar_split_clause,[],[f1829,f1714,f1656]) ).
fof(f1714,plain,
( spl12_221
<=> e20 = op2(e22,e20) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_221])]) ).
fof(f1829,plain,
( e20 != op2(e22,e23)
| ~ spl12_221 ),
inference(backward_demodulation,[],[f406,f1716]) ).
fof(f1716,plain,
( e20 = op2(e22,e20)
| ~ spl12_221 ),
inference(avatar_component_clause,[],[f1714]) ).
fof(f406,plain,
op2(e22,e20) != op2(e22,e23),
inference(cnf_transformation,[],[f6]) ).
fof(f1823,plain,
spl12_77,
inference(avatar_split_clause,[],[f476,f841]) ).
fof(f476,plain,
e23 = h4(e13),
inference(cnf_transformation,[],[f17]) ).
fof(f17,axiom,
( op2(op2(e23,op2(e23,e23)),op2(e23,e23)) = h4(e12)
& op2(e23,e23) = h4(e11)
& op2(e23,op2(e23,e23)) = h4(e10)
& e23 = h4(e13) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax17) ).
fof(f1822,plain,
spl12_15,
inference(avatar_split_clause,[],[f1821,f556]) ).
fof(f1821,plain,
e20 = h4(e10),
inference(forward_demodulation,[],[f1820,f1448]) ).
fof(f1820,plain,
op2(e23,e21) = h4(e10),
inference(forward_demodulation,[],[f477,f280]) ).
fof(f477,plain,
op2(e23,op2(e23,e23)) = h4(e10),
inference(cnf_transformation,[],[f17]) ).
fof(f1819,plain,
spl12_9,
inference(avatar_split_clause,[],[f1818,f527]) ).
fof(f1818,plain,
e21 = h4(e11),
inference(forward_demodulation,[],[f478,f280]) ).
fof(f478,plain,
op2(e23,e23) = h4(e11),
inference(cnf_transformation,[],[f17]) ).
fof(f1817,plain,
spl12_3,
inference(avatar_split_clause,[],[f1816,f498]) ).
fof(f1816,plain,
e22 = h4(e12),
inference(forward_demodulation,[],[f1815,f1449]) ).
fof(f1815,plain,
op2(e20,e21) = h4(e12),
inference(forward_demodulation,[],[f1814,f1448]) ).
fof(f1814,plain,
h4(e12) = op2(op2(e23,e21),e21),
inference(forward_demodulation,[],[f479,f280]) ).
fof(f479,plain,
op2(op2(e23,op2(e23,e23)),op2(e23,e23)) = h4(e12),
inference(cnf_transformation,[],[f17]) ).
fof(f1783,plain,
( spl12_201
| spl12_203 ),
inference(avatar_split_clause,[],[f1782,f1615,f1570]) ).
fof(f1570,plain,
( spl12_201
<=> e20 = op2(e20,e23) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_201])]) ).
fof(f1782,plain,
( e23 = op2(e20,e23)
| e20 = op2(e20,e23) ),
inference(subsumption_resolution,[],[f1781,f1604]) ).
fof(f1604,plain,
e21 != op2(e20,e23),
inference(forward_demodulation,[],[f388,f280]) ).
fof(f388,plain,
op2(e20,e23) != op2(e23,e23),
inference(cnf_transformation,[],[f6]) ).
fof(f1781,plain,
( e23 = op2(e20,e23)
| e21 = op2(e20,e23)
| e20 = op2(e20,e23) ),
inference(subsumption_resolution,[],[f451,f1597]) ).
fof(f1597,plain,
e22 != op2(e20,e23),
inference(forward_demodulation,[],[f396,f1449]) ).
fof(f396,plain,
op2(e20,e21) != op2(e20,e23),
inference(cnf_transformation,[],[f6]) ).
fof(f451,plain,
( e23 = op2(e20,e23)
| e22 = op2(e20,e23)
| e21 = op2(e20,e23)
| e20 = op2(e20,e23) ),
inference(cnf_transformation,[],[f3]) ).
fof(f3,axiom,
( ( e23 = op2(e23,e23)
| e22 = op2(e23,e23)
| e21 = op2(e23,e23)
| e20 = op2(e23,e23) )
& ( e23 = op2(e23,e22)
| e22 = op2(e23,e22)
| e21 = op2(e23,e22)
| e20 = op2(e23,e22) )
& ( e23 = op2(e23,e21)
| e22 = op2(e23,e21)
| e21 = op2(e23,e21)
| e20 = op2(e23,e21) )
& ( e23 = op2(e23,e20)
| e22 = op2(e23,e20)
| e21 = op2(e23,e20)
| e20 = op2(e23,e20) )
& ( e23 = op2(e22,e23)
| e22 = op2(e22,e23)
| e21 = op2(e22,e23)
| e20 = op2(e22,e23) )
& ( e23 = op2(e22,e22)
| e22 = op2(e22,e22)
| e21 = op2(e22,e22)
| e20 = op2(e22,e22) )
& ( e23 = op2(e22,e21)
| e22 = op2(e22,e21)
| e21 = op2(e22,e21)
| e20 = op2(e22,e21) )
& ( e23 = op2(e22,e20)
| e22 = op2(e22,e20)
| e21 = op2(e22,e20)
| e20 = op2(e22,e20) )
& ( e23 = op2(e21,e23)
| e22 = op2(e21,e23)
| e21 = op2(e21,e23)
| e20 = op2(e21,e23) )
& ( e23 = op2(e21,e22)
| e22 = op2(e21,e22)
| e21 = op2(e21,e22)
| e20 = op2(e21,e22) )
& ( e23 = op2(e21,e21)
| e22 = op2(e21,e21)
| e21 = op2(e21,e21)
| e20 = op2(e21,e21) )
& ( e23 = op2(e21,e20)
| e22 = op2(e21,e20)
| e21 = op2(e21,e20)
| e20 = op2(e21,e20) )
& ( e23 = op2(e20,e23)
| e22 = op2(e20,e23)
| e21 = op2(e20,e23)
| e20 = op2(e20,e23) )
& ( e23 = op2(e20,e22)
| e22 = op2(e20,e22)
| e21 = op2(e20,e22)
| e20 = op2(e20,e22) )
& ( e23 = op2(e20,e21)
| e22 = op2(e20,e21)
| e21 = op2(e20,e21)
| e20 = op2(e20,e21) )
& ( op2(e20,e20) = e23
| op2(e20,e20) = e22
| op2(e20,e20) = e21
| e20 = op2(e20,e20) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax3) ).
fof(f1779,plain,
( spl12_191
| spl12_186
| spl12_195 ),
inference(avatar_split_clause,[],[f1778,f1519,f1470,f1499]) ).
fof(f1499,plain,
( spl12_191
<=> e20 = op2(e21,e21) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_191])]) ).
fof(f1470,plain,
( spl12_186
<=> e22 = op2(e21,e21) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_186])]) ).
fof(f1778,plain,
( e23 = op2(e21,e21)
| e22 = op2(e21,e21)
| e20 = op2(e21,e21) ),
inference(subsumption_resolution,[],[f453,f1559]) ).
fof(f1559,plain,
e21 != op2(e21,e21),
inference(subsumption_resolution,[],[f305,f280]) ).
fof(f305,plain,
( e21 != op2(e23,e23)
| e21 != op2(e21,e21) ),
inference(cnf_transformation,[],[f11]) ).
fof(f453,plain,
( e23 = op2(e21,e21)
| e22 = op2(e21,e21)
| e21 = op2(e21,e21)
| e20 = op2(e21,e21) ),
inference(cnf_transformation,[],[f3]) ).
fof(f1770,plain,
( spl12_210
| spl12_193
| spl12_205 ),
inference(avatar_split_clause,[],[f1769,f1623,f1510,f1656]) ).
fof(f1510,plain,
( spl12_193
<=> e22 = op2(e22,e23) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_193])]) ).
fof(f1769,plain,
( e23 = op2(e22,e23)
| e22 = op2(e22,e23)
| e20 = op2(e22,e23) ),
inference(subsumption_resolution,[],[f459,f1601]) ).
fof(f1601,plain,
e21 != op2(e22,e23),
inference(forward_demodulation,[],[f391,f280]) ).
fof(f391,plain,
op2(e22,e23) != op2(e23,e23),
inference(cnf_transformation,[],[f6]) ).
fof(f459,plain,
( e23 = op2(e22,e23)
| e22 = op2(e22,e23)
| e21 = op2(e22,e23)
| e20 = op2(e22,e23) ),
inference(cnf_transformation,[],[f3]) ).
fof(f1762,plain,
( spl12_192
| spl12_202
| spl12_201 ),
inference(avatar_split_clause,[],[f1761,f1570,f1578,f1504]) ).
fof(f1504,plain,
( spl12_192
<=> e20 = op2(e20,e20) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_192])]) ).
fof(f1761,plain,
( e20 = op2(e20,e23)
| e20 = op2(e20,e22)
| e20 = op2(e20,e20) ),
inference(subsumption_resolution,[],[f416,f1585]) ).
fof(f1585,plain,
e20 != op2(e20,e21),
inference(subsumption_resolution,[],[f289,f280]) ).
fof(f289,plain,
( e21 != op2(e23,e23)
| e20 != op2(e20,e21) ),
inference(cnf_transformation,[],[f11]) ).
fof(f416,plain,
( e20 = op2(e20,e23)
| e20 = op2(e20,e22)
| e20 = op2(e20,e21)
| e20 = op2(e20,e20) ),
inference(cnf_transformation,[],[f4]) ).
fof(f4,axiom,
( ( e23 = op2(e23,e23)
| e23 = op2(e22,e23)
| e23 = op2(e21,e23)
| e23 = op2(e20,e23) )
& ( e23 = op2(e23,e23)
| e23 = op2(e23,e22)
| e23 = op2(e23,e21)
| e23 = op2(e23,e20) )
& ( e22 = op2(e23,e23)
| e22 = op2(e22,e23)
| e22 = op2(e21,e23)
| e22 = op2(e20,e23) )
& ( e22 = op2(e23,e23)
| e22 = op2(e23,e22)
| e22 = op2(e23,e21)
| e22 = op2(e23,e20) )
& ( e21 = op2(e23,e23)
| e21 = op2(e22,e23)
| e21 = op2(e21,e23)
| e21 = op2(e20,e23) )
& ( e21 = op2(e23,e23)
| e21 = op2(e23,e22)
| e21 = op2(e23,e21)
| e21 = op2(e23,e20) )
& ( e20 = op2(e23,e23)
| e20 = op2(e22,e23)
| e20 = op2(e21,e23)
| e20 = op2(e20,e23) )
& ( e20 = op2(e23,e23)
| e20 = op2(e23,e22)
| e20 = op2(e23,e21)
| e20 = op2(e23,e20) )
& ( e23 = op2(e23,e22)
| e23 = op2(e22,e22)
| e23 = op2(e21,e22)
| e23 = op2(e20,e22) )
& ( e23 = op2(e22,e23)
| e23 = op2(e22,e22)
| e23 = op2(e22,e21)
| e23 = op2(e22,e20) )
& ( e22 = op2(e23,e22)
| e22 = op2(e22,e22)
| e22 = op2(e21,e22)
| e22 = op2(e20,e22) )
& ( e22 = op2(e22,e23)
| e22 = op2(e22,e22)
| e22 = op2(e22,e21)
| e22 = op2(e22,e20) )
& ( e21 = op2(e23,e22)
| e21 = op2(e22,e22)
| e21 = op2(e21,e22)
| e21 = op2(e20,e22) )
& ( e21 = op2(e22,e23)
| e21 = op2(e22,e22)
| e21 = op2(e22,e21)
| e21 = op2(e22,e20) )
& ( e20 = op2(e23,e22)
| e20 = op2(e22,e22)
| e20 = op2(e21,e22)
| e20 = op2(e20,e22) )
& ( e20 = op2(e22,e23)
| e20 = op2(e22,e22)
| e20 = op2(e22,e21)
| e20 = op2(e22,e20) )
& ( e23 = op2(e23,e21)
| e23 = op2(e22,e21)
| e23 = op2(e21,e21)
| e23 = op2(e20,e21) )
& ( e23 = op2(e21,e23)
| e23 = op2(e21,e22)
| e23 = op2(e21,e21)
| e23 = op2(e21,e20) )
& ( e22 = op2(e23,e21)
| e22 = op2(e22,e21)
| e22 = op2(e21,e21)
| e22 = op2(e20,e21) )
& ( e22 = op2(e21,e23)
| e22 = op2(e21,e22)
| e22 = op2(e21,e21)
| e22 = op2(e21,e20) )
& ( e21 = op2(e23,e21)
| e21 = op2(e22,e21)
| e21 = op2(e21,e21)
| e21 = op2(e20,e21) )
& ( e21 = op2(e21,e23)
| e21 = op2(e21,e22)
| e21 = op2(e21,e21)
| e21 = op2(e21,e20) )
& ( e20 = op2(e23,e21)
| e20 = op2(e22,e21)
| e20 = op2(e21,e21)
| e20 = op2(e20,e21) )
& ( e20 = op2(e21,e23)
| e20 = op2(e21,e22)
| e20 = op2(e21,e21)
| e20 = op2(e21,e20) )
& ( e23 = op2(e23,e20)
| e23 = op2(e22,e20)
| e23 = op2(e21,e20)
| op2(e20,e20) = e23 )
& ( e23 = op2(e20,e23)
| e23 = op2(e20,e22)
| e23 = op2(e20,e21)
| op2(e20,e20) = e23 )
& ( e22 = op2(e23,e20)
| e22 = op2(e22,e20)
| e22 = op2(e21,e20)
| op2(e20,e20) = e22 )
& ( e22 = op2(e20,e23)
| e22 = op2(e20,e22)
| e22 = op2(e20,e21)
| op2(e20,e20) = e22 )
& ( e21 = op2(e23,e20)
| e21 = op2(e22,e20)
| e21 = op2(e21,e20)
| op2(e20,e20) = e21 )
& ( e21 = op2(e20,e23)
| e21 = op2(e20,e22)
| e21 = op2(e20,e21)
| op2(e20,e20) = e21 )
& ( e20 = op2(e23,e20)
| e20 = op2(e22,e20)
| e20 = op2(e21,e20)
| e20 = op2(e20,e20) )
& ( e20 = op2(e20,e23)
| e20 = op2(e20,e22)
| e20 = op2(e20,e21)
| e20 = op2(e20,e20) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax4) ).
fof(f1760,plain,
( spl12_192
| spl12_224
| spl12_221 ),
inference(avatar_split_clause,[],[f1759,f1714,f1741,f1504]) ).
fof(f1759,plain,
( e20 = op2(e22,e20)
| e20 = op2(e21,e20)
| e20 = op2(e20,e20) ),
inference(subsumption_resolution,[],[f417,f1596]) ).
fof(f1596,plain,
e20 != op2(e23,e20),
inference(forward_demodulation,[],[f410,f1448]) ).
fof(f410,plain,
op2(e23,e20) != op2(e23,e21),
inference(cnf_transformation,[],[f6]) ).
fof(f417,plain,
( e20 = op2(e23,e20)
| e20 = op2(e22,e20)
| e20 = op2(e21,e20)
| e20 = op2(e20,e20) ),
inference(cnf_transformation,[],[f4]) ).
fof(f1758,plain,
( spl12_225
| spl12_216
| spl12_184 ),
inference(avatar_split_clause,[],[f1757,f1460,f1688,f1752]) ).
fof(f1460,plain,
( spl12_184
<=> e21 = e22 ),
introduced(avatar_definition,[new_symbols(naming,[spl12_184])]) ).
fof(f1757,plain,
( e21 = e22
| e21 = op2(e20,e22)
| op2(e20,e20) = e21 ),
inference(forward_demodulation,[],[f1756,f1449]) ).
fof(f1756,plain,
( e21 = op2(e20,e22)
| e21 = op2(e20,e21)
| op2(e20,e20) = e21 ),
inference(subsumption_resolution,[],[f418,f1604]) ).
fof(f418,plain,
( e21 = op2(e20,e23)
| e21 = op2(e20,e22)
| e21 = op2(e20,e21)
| op2(e20,e20) = e21 ),
inference(cnf_transformation,[],[f4]) ).
fof(f1737,plain,
( spl12_219
| spl12_184 ),
inference(avatar_split_clause,[],[f1736,f1460,f1702]) ).
fof(f1736,plain,
( e21 = e22
| e21 = op2(e22,e21) ),
inference(forward_demodulation,[],[f1735,f1449]) ).
fof(f1735,plain,
( e21 = op2(e22,e21)
| e21 = op2(e20,e21) ),
inference(subsumption_resolution,[],[f1734,f362]) ).
fof(f1734,plain,
( e20 = e21
| e21 = op2(e22,e21)
| e21 = op2(e20,e21) ),
inference(forward_demodulation,[],[f1733,f1448]) ).
fof(f1733,plain,
( e21 = op2(e23,e21)
| e21 = op2(e22,e21)
| e21 = op2(e20,e21) ),
inference(subsumption_resolution,[],[f427,f1559]) ).
fof(f427,plain,
( e21 = op2(e23,e21)
| e21 = op2(e22,e21)
| e21 = op2(e21,e21)
| e21 = op2(e20,e21) ),
inference(cnf_transformation,[],[f4]) ).
fof(f1695,plain,
( spl12_216
| spl12_199
| spl12_217 ),
inference(avatar_split_clause,[],[f1686,f1692,f1552,f1688]) ).
fof(f1686,plain,
( e21 = op2(e22,e22)
| e21 = op2(e21,e22)
| e21 = op2(e20,e22) ),
inference(subsumption_resolution,[],[f435,f1591]) ).
fof(f1591,plain,
e21 != op2(e23,e22),
inference(forward_demodulation,[],[f415,f280]) ).
fof(f415,plain,
op2(e23,e22) != op2(e23,e23),
inference(cnf_transformation,[],[f6]) ).
fof(f435,plain,
( e21 = op2(e23,e22)
| e21 = op2(e22,e22)
| e21 = op2(e21,e22)
| e21 = op2(e20,e22) ),
inference(cnf_transformation,[],[f4]) ).
fof(f1685,plain,
( spl12_197
| spl12_185
| spl12_193 ),
inference(avatar_split_clause,[],[f1684,f1510,f1465,f1535]) ).
fof(f1465,plain,
( spl12_185
<=> e22 = op2(e22,e22) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_185])]) ).
fof(f1684,plain,
( e22 = op2(e22,e23)
| e22 = op2(e22,e22)
| e22 = op2(e22,e20) ),
inference(subsumption_resolution,[],[f436,f1533]) ).
fof(f1533,plain,
e22 != op2(e22,e21),
inference(subsumption_resolution,[],[f321,f280]) ).
fof(f321,plain,
( e21 != op2(e23,e23)
| e22 != op2(e22,e21) ),
inference(cnf_transformation,[],[f11]) ).
fof(f436,plain,
( e22 = op2(e22,e23)
| e22 = op2(e22,e22)
| e22 = op2(e22,e21)
| e22 = op2(e22,e20) ),
inference(cnf_transformation,[],[f4]) ).
fof(f1683,plain,
( spl12_215
| spl12_185
| spl12_208 ),
inference(avatar_split_clause,[],[f1678,f1647,f1465,f1680]) ).
fof(f1678,plain,
( e22 = op2(e23,e22)
| e22 = op2(e22,e22)
| e22 = op2(e21,e22) ),
inference(subsumption_resolution,[],[f437,f1598]) ).
fof(f1598,plain,
e22 != op2(e20,e22),
inference(forward_demodulation,[],[f395,f1449]) ).
fof(f395,plain,
op2(e20,e21) != op2(e20,e22),
inference(cnf_transformation,[],[f6]) ).
fof(f437,plain,
( e22 = op2(e23,e22)
| e22 = op2(e22,e22)
| e22 = op2(e21,e22)
| e22 = op2(e20,e22) ),
inference(cnf_transformation,[],[f4]) ).
fof(f1677,plain,
( spl12_213
| spl12_214
| spl12_194
| spl12_205 ),
inference(avatar_split_clause,[],[f438,f1623,f1514,f1674,f1670]) ).
fof(f438,plain,
( e23 = op2(e22,e23)
| e23 = op2(e22,e22)
| e23 = op2(e22,e21)
| e23 = op2(e22,e20) ),
inference(cnf_transformation,[],[f4]) ).
fof(f1638,plain,
( spl12_206
| spl12_193
| spl12_184 ),
inference(avatar_split_clause,[],[f1633,f1460,f1510,f1635]) ).
fof(f1633,plain,
( e21 = e22
| e22 = op2(e22,e23)
| e22 = op2(e21,e23) ),
inference(forward_demodulation,[],[f1632,f280]) ).
fof(f1632,plain,
( e22 = op2(e23,e23)
| e22 = op2(e22,e23)
| e22 = op2(e21,e23) ),
inference(subsumption_resolution,[],[f445,f1597]) ).
fof(f445,plain,
( e22 = op2(e23,e23)
| e22 = op2(e22,e23)
| e22 = op2(e21,e23)
| e22 = op2(e20,e23) ),
inference(cnf_transformation,[],[f4]) ).
fof(f1631,plain,
( spl12_188
| spl12_183 ),
inference(avatar_split_clause,[],[f1630,f1456,f1485]) ).
fof(f1630,plain,
( e23 = op2(e23,e22)
| e23 = op2(e23,e20) ),
inference(subsumption_resolution,[],[f1629,f1480]) ).
fof(f1480,plain,
e20 != e23,
inference(forward_demodulation,[],[f1479,f1448]) ).
fof(f1479,plain,
e23 != op2(e23,e21),
inference(subsumption_resolution,[],[f337,f280]) ).
fof(f337,plain,
( e21 != op2(e23,e23)
| e23 != op2(e23,e21) ),
inference(cnf_transformation,[],[f11]) ).
fof(f1629,plain,
( e20 = e23
| e23 = op2(e23,e22)
| e23 = op2(e23,e20) ),
inference(forward_demodulation,[],[f1628,f1448]) ).
fof(f1628,plain,
( e23 = op2(e23,e22)
| e23 = op2(e23,e21)
| e23 = op2(e23,e20) ),
inference(subsumption_resolution,[],[f1627,f1450]) ).
fof(f1627,plain,
( e21 = e23
| e23 = op2(e23,e22)
| e23 = op2(e23,e21)
| e23 = op2(e23,e20) ),
inference(forward_demodulation,[],[f446,f280]) ).
fof(f446,plain,
( e23 = op2(e23,e23)
| e23 = op2(e23,e22)
| e23 = op2(e23,e21)
| e23 = op2(e23,e20) ),
inference(cnf_transformation,[],[f4]) ).
fof(f1611,plain,
~ spl12_186,
inference(avatar_split_clause,[],[f1610,f1470]) ).
fof(f1610,plain,
e22 != op2(e21,e21),
inference(forward_demodulation,[],[f374,f1449]) ).
fof(f374,plain,
op2(e20,e21) != op2(e21,e21),
inference(cnf_transformation,[],[f6]) ).
fof(f1607,plain,
~ spl12_191,
inference(avatar_split_clause,[],[f1606,f1499]) ).
fof(f1606,plain,
e20 != op2(e21,e21),
inference(forward_demodulation,[],[f378,f1448]) ).
fof(f378,plain,
op2(e21,e21) != op2(e23,e21),
inference(cnf_transformation,[],[f6]) ).
fof(f1590,plain,
~ spl12_184,
inference(avatar_split_clause,[],[f365,f1460]) ).
fof(f365,plain,
e21 != e22,
inference(cnf_transformation,[],[f8]) ).
fof(f1589,plain,
~ spl12_192,
inference(avatar_split_clause,[],[f480,f1504]) ).
fof(f480,plain,
e20 != op2(e20,e20),
inference(duplicate_literal_removal,[],[f282]) ).
fof(f282,plain,
( e20 != op2(e20,e20)
| e20 != op2(e20,e20) ),
inference(cnf_transformation,[],[f11]) ).
fof(f1582,plain,
( ~ spl12_202
| ~ spl12_185 ),
inference(avatar_split_clause,[],[f292,f1465,f1578]) ).
fof(f292,plain,
( e22 != op2(e22,e22)
| e20 != op2(e20,e22) ),
inference(cnf_transformation,[],[f11]) ).
fof(f1574,plain,
( ~ spl12_201
| ~ spl12_195 ),
inference(avatar_split_clause,[],[f295,f1519,f1570]) ).
fof(f295,plain,
( e23 != op2(e21,e21)
| e20 != op2(e20,e23) ),
inference(cnf_transformation,[],[f11]) ).
fof(f1522,plain,
( ~ spl12_193
| ~ spl12_195 ),
inference(avatar_split_clause,[],[f327,f1519,f1510]) ).
fof(f327,plain,
( e23 != op2(e21,e21)
| e22 != op2(e22,e23) ),
inference(cnf_transformation,[],[f11]) ).
fof(f1446,plain,
( spl12_149
| spl12_182
| spl12_144
| spl12_153 ),
inference(avatar_split_clause,[],[f263,f1184,f1135,f1411,f1164]) ).
fof(f1164,plain,
( spl12_149
<=> e10 = op1(e10,e10) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_149])]) ).
fof(f1135,plain,
( spl12_144
<=> op1(e10,e10) = e12 ),
introduced(avatar_definition,[new_symbols(naming,[spl12_144])]) ).
fof(f263,plain,
( op1(e10,e10) = e13
| op1(e10,e10) = e12
| op1(e10,e10) = e11
| e10 = op1(e10,e10) ),
inference(cnf_transformation,[],[f1]) ).
fof(f1,axiom,
( ( e13 = op1(e13,e13)
| e12 = op1(e13,e13)
| e11 = op1(e13,e13)
| e10 = op1(e13,e13) )
& ( e13 = op1(e13,e12)
| e12 = op1(e13,e12)
| e11 = op1(e13,e12)
| e10 = op1(e13,e12) )
& ( e13 = op1(e13,e11)
| e12 = op1(e13,e11)
| e11 = op1(e13,e11)
| e10 = op1(e13,e11) )
& ( e13 = op1(e13,e10)
| e12 = op1(e13,e10)
| e11 = op1(e13,e10)
| e10 = op1(e13,e10) )
& ( e13 = op1(e12,e13)
| e12 = op1(e12,e13)
| e11 = op1(e12,e13)
| e10 = op1(e12,e13) )
& ( e13 = op1(e12,e12)
| e12 = op1(e12,e12)
| e11 = op1(e12,e12)
| e10 = op1(e12,e12) )
& ( e13 = op1(e12,e11)
| e12 = op1(e12,e11)
| e11 = op1(e12,e11)
| e10 = op1(e12,e11) )
& ( e13 = op1(e12,e10)
| e12 = op1(e12,e10)
| e11 = op1(e12,e10)
| e10 = op1(e12,e10) )
& ( e13 = op1(e11,e13)
| e12 = op1(e11,e13)
| e11 = op1(e11,e13)
| e10 = op1(e11,e13) )
& ( e13 = op1(e11,e12)
| e12 = op1(e11,e12)
| e11 = op1(e11,e12)
| e10 = op1(e11,e12) )
& ( e13 = op1(e11,e11)
| e12 = op1(e11,e11)
| e11 = op1(e11,e11)
| e10 = op1(e11,e11) )
& ( e13 = op1(e11,e10)
| e12 = op1(e11,e10)
| e11 = op1(e11,e10)
| e10 = op1(e11,e10) )
& ( e13 = op1(e10,e13)
| e12 = op1(e10,e13)
| e11 = op1(e10,e13)
| e10 = op1(e10,e13) )
& ( e13 = op1(e10,e12)
| e12 = op1(e10,e12)
| e11 = op1(e10,e12)
| e10 = op1(e10,e12) )
& ( e13 = op1(e10,e11)
| e12 = op1(e10,e11)
| e11 = op1(e10,e11)
| e10 = op1(e10,e11) )
& ( op1(e10,e10) = e13
| op1(e10,e10) = e12
| op1(e10,e10) = e11
| e10 = op1(e10,e10) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax1) ).
fof(f1443,plain,
( spl12_158
| spl12_160 ),
inference(avatar_split_clause,[],[f1442,f1271,f1228]) ).
fof(f1228,plain,
( spl12_158
<=> e10 = op1(e10,e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_158])]) ).
fof(f1442,plain,
( e13 = op1(e10,e13)
| e10 = op1(e10,e13) ),
inference(subsumption_resolution,[],[f1441,f1260]) ).
fof(f1260,plain,
e11 != op1(e10,e13),
inference(forward_demodulation,[],[f203,f117]) ).
fof(f203,plain,
op1(e10,e13) != op1(e13,e13),
inference(cnf_transformation,[],[f5]) ).
fof(f1441,plain,
( e13 = op1(e10,e13)
| e11 = op1(e10,e13)
| e10 = op1(e10,e13) ),
inference(subsumption_resolution,[],[f266,f1253]) ).
fof(f1253,plain,
e12 != op1(e10,e13),
inference(forward_demodulation,[],[f211,f1114]) ).
fof(f211,plain,
op1(e10,e11) != op1(e10,e13),
inference(cnf_transformation,[],[f5]) ).
fof(f266,plain,
( e13 = op1(e10,e13)
| e12 = op1(e10,e13)
| e11 = op1(e10,e13)
| e10 = op1(e10,e13) ),
inference(cnf_transformation,[],[f1]) ).
fof(f1439,plain,
( spl12_148
| spl12_143
| spl12_152 ),
inference(avatar_split_clause,[],[f1438,f1179,f1130,f1159]) ).
fof(f1159,plain,
( spl12_148
<=> e10 = op1(e11,e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_148])]) ).
fof(f1130,plain,
( spl12_143
<=> e12 = op1(e11,e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_143])]) ).
fof(f1438,plain,
( e13 = op1(e11,e11)
| e12 = op1(e11,e11)
| e10 = op1(e11,e11) ),
inference(subsumption_resolution,[],[f268,f1217]) ).
fof(f1217,plain,
e11 != op1(e11,e11),
inference(subsumption_resolution,[],[f142,f117]) ).
fof(f142,plain,
( e11 != op1(e13,e13)
| e11 != op1(e11,e11) ),
inference(cnf_transformation,[],[f10]) ).
fof(f10,axiom,
( ( e13 != op1(e13,e13)
| e13 != op1(e13,e13) )
& ( e13 != op1(e12,e12)
| e13 != op1(e13,e13) )
& ( e13 != op1(e11,e11)
| e13 != op1(e13,e13) )
& ( op1(e10,e10) != e13
| e13 != op1(e13,e13) )
& ( e12 != op1(e13,e13)
| e13 != op1(e13,e12) )
& ( e12 != op1(e12,e12)
| e13 != op1(e13,e12) )
& ( e12 != op1(e11,e11)
| e13 != op1(e13,e12) )
& ( op1(e10,e10) != e12
| e13 != op1(e13,e12) )
& ( e11 != op1(e13,e13)
| e13 != op1(e13,e11) )
& ( e11 != op1(e12,e12)
| e13 != op1(e13,e11) )
& ( e11 != op1(e11,e11)
| e13 != op1(e13,e11) )
& ( op1(e10,e10) != e11
| e13 != op1(e13,e11) )
& ( e10 != op1(e13,e13)
| e13 != op1(e13,e10) )
& ( e10 != op1(e12,e12)
| e13 != op1(e13,e10) )
& ( e10 != op1(e11,e11)
| e13 != op1(e13,e10) )
& ( e10 != op1(e10,e10)
| e13 != op1(e13,e10) )
& ( e13 != op1(e13,e13)
| e12 != op1(e12,e13) )
& ( e13 != op1(e12,e12)
| e12 != op1(e12,e13) )
& ( e13 != op1(e11,e11)
| e12 != op1(e12,e13) )
& ( op1(e10,e10) != e13
| e12 != op1(e12,e13) )
& ( e12 != op1(e13,e13)
| e12 != op1(e12,e12) )
& ( e12 != op1(e12,e12)
| e12 != op1(e12,e12) )
& ( e12 != op1(e11,e11)
| e12 != op1(e12,e12) )
& ( op1(e10,e10) != e12
| e12 != op1(e12,e12) )
& ( e11 != op1(e13,e13)
| e12 != op1(e12,e11) )
& ( e11 != op1(e12,e12)
| e12 != op1(e12,e11) )
& ( e11 != op1(e11,e11)
| e12 != op1(e12,e11) )
& ( op1(e10,e10) != e11
| e12 != op1(e12,e11) )
& ( e10 != op1(e13,e13)
| e12 != op1(e12,e10) )
& ( e10 != op1(e12,e12)
| e12 != op1(e12,e10) )
& ( e10 != op1(e11,e11)
| e12 != op1(e12,e10) )
& ( e10 != op1(e10,e10)
| e12 != op1(e12,e10) )
& ( e13 != op1(e13,e13)
| e11 != op1(e11,e13) )
& ( e13 != op1(e12,e12)
| e11 != op1(e11,e13) )
& ( e13 != op1(e11,e11)
| e11 != op1(e11,e13) )
& ( op1(e10,e10) != e13
| e11 != op1(e11,e13) )
& ( e12 != op1(e13,e13)
| e11 != op1(e11,e12) )
& ( e12 != op1(e12,e12)
| e11 != op1(e11,e12) )
& ( e12 != op1(e11,e11)
| e11 != op1(e11,e12) )
& ( op1(e10,e10) != e12
| e11 != op1(e11,e12) )
& ( e11 != op1(e13,e13)
| e11 != op1(e11,e11) )
& ( e11 != op1(e12,e12)
| e11 != op1(e11,e11) )
& ( e11 != op1(e11,e11)
| e11 != op1(e11,e11) )
& ( op1(e10,e10) != e11
| e11 != op1(e11,e11) )
& ( e10 != op1(e13,e13)
| e11 != op1(e11,e10) )
& ( e10 != op1(e12,e12)
| e11 != op1(e11,e10) )
& ( e10 != op1(e11,e11)
| e11 != op1(e11,e10) )
& ( e10 != op1(e10,e10)
| e11 != op1(e11,e10) )
& ( e13 != op1(e13,e13)
| e10 != op1(e10,e13) )
& ( e13 != op1(e12,e12)
| e10 != op1(e10,e13) )
& ( e13 != op1(e11,e11)
| e10 != op1(e10,e13) )
& ( op1(e10,e10) != e13
| e10 != op1(e10,e13) )
& ( e12 != op1(e13,e13)
| e10 != op1(e10,e12) )
& ( e12 != op1(e12,e12)
| e10 != op1(e10,e12) )
& ( e12 != op1(e11,e11)
| e10 != op1(e10,e12) )
& ( op1(e10,e10) != e12
| e10 != op1(e10,e12) )
& ( e11 != op1(e13,e13)
| e10 != op1(e10,e11) )
& ( e11 != op1(e12,e12)
| e10 != op1(e10,e11) )
& ( e11 != op1(e11,e11)
| e10 != op1(e10,e11) )
& ( op1(e10,e10) != e11
| e10 != op1(e10,e11) )
& ( e10 != op1(e13,e13)
| e10 != op1(e10,e10) )
& ( e10 != op1(e12,e12)
| e10 != op1(e10,e10) )
& ( e10 != op1(e11,e11)
| e10 != op1(e10,e10) )
& ( e10 != op1(e10,e10)
| e10 != op1(e10,e10) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax10) ).
fof(f268,plain,
( e13 = op1(e11,e11)
| e12 = op1(e11,e11)
| e11 = op1(e11,e11)
| e10 = op1(e11,e11) ),
inference(cnf_transformation,[],[f1]) ).
fof(f1431,plain,
( spl12_147
| spl12_174
| spl12_142
| spl12_151 ),
inference(avatar_split_clause,[],[f273,f1174,f1125,f1350,f1154]) ).
fof(f1154,plain,
( spl12_147
<=> e10 = op1(e12,e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_147])]) ).
fof(f1125,plain,
( spl12_142
<=> e12 = op1(e12,e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_142])]) ).
fof(f273,plain,
( e13 = op1(e12,e12)
| e12 = op1(e12,e12)
| e11 = op1(e12,e12)
| e10 = op1(e12,e12) ),
inference(cnf_transformation,[],[f1]) ).
fof(f1430,plain,
( spl12_167
| spl12_150
| spl12_162 ),
inference(avatar_split_clause,[],[f1429,f1279,f1170,f1314]) ).
fof(f1170,plain,
( spl12_150
<=> e12 = op1(e12,e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_150])]) ).
fof(f1429,plain,
( e13 = op1(e12,e13)
| e12 = op1(e12,e13)
| e10 = op1(e12,e13) ),
inference(subsumption_resolution,[],[f274,f1257]) ).
fof(f1257,plain,
e11 != op1(e12,e13),
inference(forward_demodulation,[],[f206,f117]) ).
fof(f206,plain,
op1(e12,e13) != op1(e13,e13),
inference(cnf_transformation,[],[f5]) ).
fof(f274,plain,
( e13 = op1(e12,e13)
| e12 = op1(e12,e13)
| e11 = op1(e12,e13)
| e10 = op1(e12,e13) ),
inference(cnf_transformation,[],[f1]) ).
fof(f1428,plain,
( spl12_164
| spl12_145 ),
inference(avatar_split_clause,[],[f1427,f1145,f1301]) ).
fof(f1427,plain,
( e13 = op1(e13,e10)
| e12 = op1(e13,e10) ),
inference(subsumption_resolution,[],[f1426,f1252]) ).
fof(f1252,plain,
e10 != op1(e13,e10),
inference(forward_demodulation,[],[f225,f1113]) ).
fof(f225,plain,
op1(e13,e10) != op1(e13,e11),
inference(cnf_transformation,[],[f5]) ).
fof(f1426,plain,
( e13 = op1(e13,e10)
| e12 = op1(e13,e10)
| e10 = op1(e13,e10) ),
inference(subsumption_resolution,[],[f275,f1251]) ).
fof(f1251,plain,
e11 != op1(e13,e10),
inference(forward_demodulation,[],[f227,f117]) ).
fof(f227,plain,
op1(e13,e10) != op1(e13,e13),
inference(cnf_transformation,[],[f5]) ).
fof(f275,plain,
( e13 = op1(e13,e10)
| e12 = op1(e13,e10)
| e11 = op1(e13,e10)
| e10 = op1(e13,e10) ),
inference(cnf_transformation,[],[f1]) ).
fof(f1422,plain,
( spl12_149
| spl12_159
| spl12_158 ),
inference(avatar_split_clause,[],[f1421,f1228,f1236,f1164]) ).
fof(f1421,plain,
( e10 = op1(e10,e13)
| e10 = op1(e10,e12)
| e10 = op1(e10,e10) ),
inference(subsumption_resolution,[],[f231,f1242]) ).
fof(f1242,plain,
e10 != op1(e10,e11),
inference(subsumption_resolution,[],[f126,f117]) ).
fof(f126,plain,
( e11 != op1(e13,e13)
| e10 != op1(e10,e11) ),
inference(cnf_transformation,[],[f10]) ).
fof(f231,plain,
( e10 = op1(e10,e13)
| e10 = op1(e10,e12)
| e10 = op1(e10,e11)
| e10 = op1(e10,e10) ),
inference(cnf_transformation,[],[f2]) ).
fof(f2,axiom,
( ( e13 = op1(e13,e13)
| e13 = op1(e12,e13)
| e13 = op1(e11,e13)
| e13 = op1(e10,e13) )
& ( e13 = op1(e13,e13)
| e13 = op1(e13,e12)
| e13 = op1(e13,e11)
| e13 = op1(e13,e10) )
& ( e12 = op1(e13,e13)
| e12 = op1(e12,e13)
| e12 = op1(e11,e13)
| e12 = op1(e10,e13) )
& ( e12 = op1(e13,e13)
| e12 = op1(e13,e12)
| e12 = op1(e13,e11)
| e12 = op1(e13,e10) )
& ( e11 = op1(e13,e13)
| e11 = op1(e12,e13)
| e11 = op1(e11,e13)
| e11 = op1(e10,e13) )
& ( e11 = op1(e13,e13)
| e11 = op1(e13,e12)
| e11 = op1(e13,e11)
| e11 = op1(e13,e10) )
& ( e10 = op1(e13,e13)
| e10 = op1(e12,e13)
| e10 = op1(e11,e13)
| e10 = op1(e10,e13) )
& ( e10 = op1(e13,e13)
| e10 = op1(e13,e12)
| e10 = op1(e13,e11)
| e10 = op1(e13,e10) )
& ( e13 = op1(e13,e12)
| e13 = op1(e12,e12)
| e13 = op1(e11,e12)
| e13 = op1(e10,e12) )
& ( e13 = op1(e12,e13)
| e13 = op1(e12,e12)
| e13 = op1(e12,e11)
| e13 = op1(e12,e10) )
& ( e12 = op1(e13,e12)
| e12 = op1(e12,e12)
| e12 = op1(e11,e12)
| e12 = op1(e10,e12) )
& ( e12 = op1(e12,e13)
| e12 = op1(e12,e12)
| e12 = op1(e12,e11)
| e12 = op1(e12,e10) )
& ( e11 = op1(e13,e12)
| e11 = op1(e12,e12)
| e11 = op1(e11,e12)
| e11 = op1(e10,e12) )
& ( e11 = op1(e12,e13)
| e11 = op1(e12,e12)
| e11 = op1(e12,e11)
| e11 = op1(e12,e10) )
& ( e10 = op1(e13,e12)
| e10 = op1(e12,e12)
| e10 = op1(e11,e12)
| e10 = op1(e10,e12) )
& ( e10 = op1(e12,e13)
| e10 = op1(e12,e12)
| e10 = op1(e12,e11)
| e10 = op1(e12,e10) )
& ( e13 = op1(e13,e11)
| e13 = op1(e12,e11)
| e13 = op1(e11,e11)
| e13 = op1(e10,e11) )
& ( e13 = op1(e11,e13)
| e13 = op1(e11,e12)
| e13 = op1(e11,e11)
| e13 = op1(e11,e10) )
& ( e12 = op1(e13,e11)
| e12 = op1(e12,e11)
| e12 = op1(e11,e11)
| e12 = op1(e10,e11) )
& ( e12 = op1(e11,e13)
| e12 = op1(e11,e12)
| e12 = op1(e11,e11)
| e12 = op1(e11,e10) )
& ( e11 = op1(e13,e11)
| e11 = op1(e12,e11)
| e11 = op1(e11,e11)
| e11 = op1(e10,e11) )
& ( e11 = op1(e11,e13)
| e11 = op1(e11,e12)
| e11 = op1(e11,e11)
| e11 = op1(e11,e10) )
& ( e10 = op1(e13,e11)
| e10 = op1(e12,e11)
| e10 = op1(e11,e11)
| e10 = op1(e10,e11) )
& ( e10 = op1(e11,e13)
| e10 = op1(e11,e12)
| e10 = op1(e11,e11)
| e10 = op1(e11,e10) )
& ( e13 = op1(e13,e10)
| e13 = op1(e12,e10)
| e13 = op1(e11,e10)
| op1(e10,e10) = e13 )
& ( e13 = op1(e10,e13)
| e13 = op1(e10,e12)
| e13 = op1(e10,e11)
| op1(e10,e10) = e13 )
& ( e12 = op1(e13,e10)
| e12 = op1(e12,e10)
| e12 = op1(e11,e10)
| op1(e10,e10) = e12 )
& ( e12 = op1(e10,e13)
| e12 = op1(e10,e12)
| e12 = op1(e10,e11)
| op1(e10,e10) = e12 )
& ( e11 = op1(e13,e10)
| e11 = op1(e12,e10)
| e11 = op1(e11,e10)
| op1(e10,e10) = e11 )
& ( e11 = op1(e10,e13)
| e11 = op1(e10,e12)
| e11 = op1(e10,e11)
| op1(e10,e10) = e11 )
& ( e10 = op1(e13,e10)
| e10 = op1(e12,e10)
| e10 = op1(e11,e10)
| e10 = op1(e10,e10) )
& ( e10 = op1(e10,e13)
| e10 = op1(e10,e12)
| e10 = op1(e10,e11)
| e10 = op1(e10,e10) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax2) ).
fof(f1420,plain,
( spl12_149
| spl12_181
| spl12_178 ),
inference(avatar_split_clause,[],[f1419,f1372,f1400,f1164]) ).
fof(f1419,plain,
( e10 = op1(e12,e10)
| e10 = op1(e11,e10)
| e10 = op1(e10,e10) ),
inference(subsumption_resolution,[],[f232,f1252]) ).
fof(f232,plain,
( e10 = op1(e13,e10)
| e10 = op1(e12,e10)
| e10 = op1(e11,e10)
| e10 = op1(e10,e10) ),
inference(cnf_transformation,[],[f2]) ).
fof(f1396,plain,
spl12_176,
inference(avatar_split_clause,[],[f1395,f1360]) ).
fof(f1395,plain,
e11 = op1(e12,e11),
inference(subsumption_resolution,[],[f1394,f113]) ).
fof(f1394,plain,
( e11 = e12
| e11 = op1(e12,e11) ),
inference(forward_demodulation,[],[f1393,f1114]) ).
fof(f1393,plain,
( e11 = op1(e12,e11)
| e11 = op1(e10,e11) ),
inference(subsumption_resolution,[],[f1392,f110]) ).
fof(f1392,plain,
( e10 = e11
| e11 = op1(e12,e11)
| e11 = op1(e10,e11) ),
inference(forward_demodulation,[],[f1391,f1113]) ).
fof(f1391,plain,
( e11 = op1(e13,e11)
| e11 = op1(e12,e11)
| e11 = op1(e10,e11) ),
inference(subsumption_resolution,[],[f242,f1217]) ).
fof(f242,plain,
( e11 = op1(e13,e11)
| e11 = op1(e12,e11)
| e11 = op1(e11,e11)
| e11 = op1(e10,e11) ),
inference(cnf_transformation,[],[f2]) ).
fof(f1353,plain,
( spl12_173
| spl12_156
| spl12_174 ),
inference(avatar_split_clause,[],[f1344,f1350,f1211,f1346]) ).
fof(f1344,plain,
( e11 = op1(e12,e12)
| e11 = op1(e11,e12)
| e11 = op1(e10,e12) ),
inference(subsumption_resolution,[],[f250,f1247]) ).
fof(f1247,plain,
e11 != op1(e13,e12),
inference(forward_demodulation,[],[f230,f117]) ).
fof(f230,plain,
op1(e13,e12) != op1(e13,e13),
inference(cnf_transformation,[],[f5]) ).
fof(f250,plain,
( e11 = op1(e13,e12)
| e11 = op1(e12,e12)
| e11 = op1(e11,e12)
| e11 = op1(e10,e12) ),
inference(cnf_transformation,[],[f2]) ).
fof(f1343,plain,
( spl12_154
| spl12_142
| spl12_150 ),
inference(avatar_split_clause,[],[f1342,f1170,f1125,f1194]) ).
fof(f1342,plain,
( e12 = op1(e12,e13)
| e12 = op1(e12,e12)
| e12 = op1(e12,e10) ),
inference(subsumption_resolution,[],[f251,f1192]) ).
fof(f1192,plain,
e12 != op1(e12,e11),
inference(subsumption_resolution,[],[f158,f117]) ).
fof(f158,plain,
( e11 != op1(e13,e13)
| e12 != op1(e12,e11) ),
inference(cnf_transformation,[],[f10]) ).
fof(f251,plain,
( e12 = op1(e12,e13)
| e12 = op1(e12,e12)
| e12 = op1(e12,e11)
| e12 = op1(e12,e10) ),
inference(cnf_transformation,[],[f2]) ).
fof(f1341,plain,
( spl12_172
| spl12_142
| spl12_165 ),
inference(avatar_split_clause,[],[f1336,f1305,f1125,f1338]) ).
fof(f1336,plain,
( e12 = op1(e13,e12)
| e12 = op1(e12,e12)
| e12 = op1(e11,e12) ),
inference(subsumption_resolution,[],[f252,f1254]) ).
fof(f1254,plain,
e12 != op1(e10,e12),
inference(forward_demodulation,[],[f210,f1114]) ).
fof(f210,plain,
op1(e10,e11) != op1(e10,e12),
inference(cnf_transformation,[],[f5]) ).
fof(f252,plain,
( e12 = op1(e13,e12)
| e12 = op1(e12,e12)
| e12 = op1(e11,e12)
| e12 = op1(e10,e12) ),
inference(cnf_transformation,[],[f2]) ).
fof(f1295,plain,
( spl12_163
| spl12_150 ),
inference(avatar_split_clause,[],[f1290,f1170,f1292]) ).
fof(f1290,plain,
( e12 = op1(e12,e13)
| e12 = op1(e11,e13) ),
inference(subsumption_resolution,[],[f1289,f113]) ).
fof(f1289,plain,
( e11 = e12
| e12 = op1(e12,e13)
| e12 = op1(e11,e13) ),
inference(forward_demodulation,[],[f1288,f117]) ).
fof(f1288,plain,
( e12 = op1(e13,e13)
| e12 = op1(e12,e13)
| e12 = op1(e11,e13) ),
inference(subsumption_resolution,[],[f260,f1253]) ).
fof(f260,plain,
( e12 = op1(e13,e13)
| e12 = op1(e12,e13)
| e12 = op1(e11,e13)
| e12 = op1(e10,e13) ),
inference(cnf_transformation,[],[f2]) ).
fof(f1267,plain,
~ spl12_143,
inference(avatar_split_clause,[],[f1266,f1130]) ).
fof(f1266,plain,
e12 != op1(e11,e11),
inference(forward_demodulation,[],[f189,f1114]) ).
fof(f189,plain,
op1(e10,e11) != op1(e11,e11),
inference(cnf_transformation,[],[f5]) ).
fof(f1263,plain,
~ spl12_148,
inference(avatar_split_clause,[],[f1262,f1159]) ).
fof(f1262,plain,
e10 != op1(e11,e11),
inference(forward_demodulation,[],[f193,f1113]) ).
fof(f193,plain,
op1(e11,e11) != op1(e13,e11),
inference(cnf_transformation,[],[f5]) ).
fof(f1256,plain,
~ spl12_144,
inference(avatar_split_clause,[],[f1255,f1135]) ).
fof(f1255,plain,
op1(e10,e10) != e12,
inference(forward_demodulation,[],[f207,f1114]) ).
fof(f207,plain,
op1(e10,e10) != op1(e10,e11),
inference(cnf_transformation,[],[f5]) ).
fof(f1246,plain,
~ spl12_149,
inference(avatar_split_clause,[],[f484,f1164]) ).
fof(f484,plain,
e10 != op1(e10,e10),
inference(duplicate_literal_removal,[],[f119]) ).
fof(f119,plain,
( e10 != op1(e10,e10)
| e10 != op1(e10,e10) ),
inference(cnf_transformation,[],[f10]) ).
fof(f1239,plain,
( ~ spl12_159
| ~ spl12_142 ),
inference(avatar_split_clause,[],[f129,f1125,f1236]) ).
fof(f129,plain,
( e12 != op1(e12,e12)
| e10 != op1(e10,e12) ),
inference(cnf_transformation,[],[f10]) ).
fof(f1232,plain,
( ~ spl12_158
| ~ spl12_152 ),
inference(avatar_split_clause,[],[f132,f1179,f1228]) ).
fof(f132,plain,
( e13 != op1(e11,e11)
| e10 != op1(e10,e13) ),
inference(cnf_transformation,[],[f10]) ).
fof(f1198,plain,
( ~ spl12_154
| ~ spl12_147 ),
inference(avatar_split_clause,[],[f153,f1154,f1194]) ).
fof(f153,plain,
( e10 != op1(e12,e12)
| e12 != op1(e12,e10) ),
inference(cnf_transformation,[],[f10]) ).
fof(f1182,plain,
( ~ spl12_150
| ~ spl12_152 ),
inference(avatar_split_clause,[],[f164,f1179,f1170]) ).
fof(f164,plain,
( e13 != op1(e11,e11)
| e12 != op1(e12,e13) ),
inference(cnf_transformation,[],[f10]) ).
fof(f844,plain,
( ~ spl12_61
| ~ spl12_62
| ~ spl12_63
| ~ spl12_64
| ~ spl12_65
| ~ spl12_66
| ~ spl12_67
| ~ spl12_68
| ~ spl12_69
| ~ spl12_70
| ~ spl12_71
| ~ spl12_72
| ~ spl12_73
| ~ spl12_74
| ~ spl12_75
| ~ spl12_76
| spl12_11
| spl12_6
| spl12_1
| ~ spl12_77 ),
inference(avatar_split_clause,[],[f109,f841,f489,f513,f537,f837,f833,f829,f825,f821,f817,f813,f809,f805,f801,f797,f793,f789,f785,f781,f777]) ).
fof(f537,plain,
( spl12_11
<=> sP9 ),
introduced(avatar_definition,[new_symbols(naming,[spl12_11])]) ).
fof(f513,plain,
( spl12_6
<=> sP10 ),
introduced(avatar_definition,[new_symbols(naming,[spl12_6])]) ).
fof(f489,plain,
( spl12_1
<=> sP11 ),
introduced(avatar_definition,[new_symbols(naming,[spl12_1])]) ).
fof(f109,plain,
( e23 != h4(e13)
| sP11
| sP10
| sP9
| h4(op1(e13,e13)) != op2(h4(e13),h4(e13))
| h4(op1(e13,e12)) != op2(h4(e13),h4(e12))
| h4(op1(e13,e11)) != op2(h4(e13),h4(e11))
| h4(op1(e13,e10)) != op2(h4(e13),h4(e10))
| h4(op1(e12,e13)) != op2(h4(e12),h4(e13))
| h4(op1(e12,e12)) != op2(h4(e12),h4(e12))
| h4(op1(e12,e11)) != op2(h4(e12),h4(e11))
| h4(op1(e12,e10)) != op2(h4(e12),h4(e10))
| h4(op1(e11,e13)) != op2(h4(e11),h4(e13))
| h4(op1(e11,e12)) != op2(h4(e11),h4(e12))
| h4(op1(e11,e11)) != op2(h4(e11),h4(e11))
| h4(op1(e11,e10)) != op2(h4(e11),h4(e10))
| h4(op1(e10,e13)) != op2(h4(e10),h4(e13))
| h4(op1(e10,e12)) != op2(h4(e10),h4(e12))
| h4(op1(e10,e11)) != op2(h4(e10),h4(e11))
| h4(op1(e10,e10)) != op2(h4(e10),h4(e10)) ),
inference(cnf_transformation,[],[f33]) ).
fof(f33,plain,
( ( ( e23 != h4(e13)
& e23 != h4(e12)
& e23 != h4(e11)
& e23 != h4(e10) )
| sP11
| sP10
| sP9
| h4(op1(e13,e13)) != op2(h4(e13),h4(e13))
| h4(op1(e13,e12)) != op2(h4(e13),h4(e12))
| h4(op1(e13,e11)) != op2(h4(e13),h4(e11))
| h4(op1(e13,e10)) != op2(h4(e13),h4(e10))
| h4(op1(e12,e13)) != op2(h4(e12),h4(e13))
| h4(op1(e12,e12)) != op2(h4(e12),h4(e12))
| h4(op1(e12,e11)) != op2(h4(e12),h4(e11))
| h4(op1(e12,e10)) != op2(h4(e12),h4(e10))
| h4(op1(e11,e13)) != op2(h4(e11),h4(e13))
| h4(op1(e11,e12)) != op2(h4(e11),h4(e12))
| h4(op1(e11,e11)) != op2(h4(e11),h4(e11))
| h4(op1(e11,e10)) != op2(h4(e11),h4(e10))
| h4(op1(e10,e13)) != op2(h4(e10),h4(e13))
| h4(op1(e10,e12)) != op2(h4(e10),h4(e12))
| h4(op1(e10,e11)) != op2(h4(e10),h4(e11))
| h4(op1(e10,e10)) != op2(h4(e10),h4(e10)) )
& ( ( e23 != h3(e13)
& e23 != h3(e12)
& e23 != h3(e11)
& e23 != h3(e10) )
| sP8
| sP7
| sP6
| h3(op1(e13,e13)) != op2(h3(e13),h3(e13))
| h3(op1(e13,e12)) != op2(h3(e13),h3(e12))
| h3(op1(e13,e11)) != op2(h3(e13),h3(e11))
| h3(op1(e13,e10)) != op2(h3(e13),h3(e10))
| h3(op1(e12,e13)) != op2(h3(e12),h3(e13))
| h3(op1(e12,e12)) != op2(h3(e12),h3(e12))
| h3(op1(e12,e11)) != op2(h3(e12),h3(e11))
| h3(op1(e12,e10)) != op2(h3(e12),h3(e10))
| h3(op1(e11,e13)) != op2(h3(e11),h3(e13))
| h3(op1(e11,e12)) != op2(h3(e11),h3(e12))
| h3(op1(e11,e11)) != op2(h3(e11),h3(e11))
| h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
| h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
| h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
| h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
| h3(op1(e10,e10)) != op2(h3(e10),h3(e10)) )
& ( ( e23 != h2(e13)
& e23 != h2(e12)
& e23 != h2(e11)
& e23 != h2(e10) )
| sP5
| sP4
| sP3
| h2(op1(e13,e13)) != op2(h2(e13),h2(e13))
| h2(op1(e13,e12)) != op2(h2(e13),h2(e12))
| h2(op1(e13,e11)) != op2(h2(e13),h2(e11))
| h2(op1(e13,e10)) != op2(h2(e13),h2(e10))
| h2(op1(e12,e13)) != op2(h2(e12),h2(e13))
| h2(op1(e12,e12)) != op2(h2(e12),h2(e12))
| h2(op1(e12,e11)) != op2(h2(e12),h2(e11))
| h2(op1(e12,e10)) != op2(h2(e12),h2(e10))
| h2(op1(e11,e13)) != op2(h2(e11),h2(e13))
| h2(op1(e11,e12)) != op2(h2(e11),h2(e12))
| h2(op1(e11,e11)) != op2(h2(e11),h2(e11))
| h2(op1(e11,e10)) != op2(h2(e11),h2(e10))
| h2(op1(e10,e13)) != op2(h2(e10),h2(e13))
| h2(op1(e10,e12)) != op2(h2(e10),h2(e12))
| h2(op1(e10,e11)) != op2(h2(e10),h2(e11))
| h2(op1(e10,e10)) != op2(h2(e10),h2(e10)) )
& ( ( e23 != h1(e13)
& e23 != h1(e12)
& e23 != h1(e11)
& e23 != h1(e10) )
| sP2
| sP1
| sP0
| h1(op1(e13,e13)) != op2(h1(e13),h1(e13))
| h1(op1(e13,e12)) != op2(h1(e13),h1(e12))
| h1(op1(e13,e11)) != op2(h1(e13),h1(e11))
| h1(op1(e13,e10)) != op2(h1(e13),h1(e10))
| h1(op1(e12,e13)) != op2(h1(e12),h1(e13))
| h1(op1(e12,e12)) != op2(h1(e12),h1(e12))
| h1(op1(e12,e11)) != op2(h1(e12),h1(e11))
| h1(op1(e12,e10)) != op2(h1(e12),h1(e10))
| h1(op1(e11,e13)) != op2(h1(e11),h1(e13))
| h1(op1(e11,e12)) != op2(h1(e11),h1(e12))
| h1(op1(e11,e11)) != op2(h1(e11),h1(e11))
| h1(op1(e11,e10)) != op2(h1(e11),h1(e10))
| h1(op1(e10,e13)) != op2(h1(e10),h1(e13))
| h1(op1(e10,e12)) != op2(h1(e10),h1(e12))
| h1(op1(e10,e11)) != op2(h1(e10),h1(e11))
| h1(op1(e10,e10)) != op2(h1(e10),h1(e10)) ) ),
inference(definition_folding,[],[f20,f32,f31,f30,f29,f28,f27,f26,f25,f24,f23,f22,f21]) ).
fof(f21,plain,
( ( e20 != h1(e13)
& e20 != h1(e12)
& e20 != h1(e11)
& e20 != h1(e10) )
| ~ sP0 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
fof(f22,plain,
( ( e21 != h1(e13)
& e21 != h1(e12)
& e21 != h1(e11)
& e21 != h1(e10) )
| ~ sP1 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])]) ).
fof(f23,plain,
( ( e22 != h1(e13)
& e22 != h1(e12)
& e22 != h1(e11)
& e22 != h1(e10) )
| ~ sP2 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP2])]) ).
fof(f24,plain,
( ( e20 != h2(e13)
& e20 != h2(e12)
& e20 != h2(e11)
& e20 != h2(e10) )
| ~ sP3 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP3])]) ).
fof(f25,plain,
( ( e21 != h2(e13)
& e21 != h2(e12)
& e21 != h2(e11)
& e21 != h2(e10) )
| ~ sP4 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP4])]) ).
fof(f26,plain,
( ( e22 != h2(e13)
& e22 != h2(e12)
& e22 != h2(e11)
& e22 != h2(e10) )
| ~ sP5 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP5])]) ).
fof(f27,plain,
( ( e20 != h3(e13)
& e20 != h3(e12)
& e20 != h3(e11)
& e20 != h3(e10) )
| ~ sP6 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP6])]) ).
fof(f28,plain,
( ( e21 != h3(e13)
& e21 != h3(e12)
& e21 != h3(e11)
& e21 != h3(e10) )
| ~ sP7 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP7])]) ).
fof(f29,plain,
( ( e22 != h3(e13)
& e22 != h3(e12)
& e22 != h3(e11)
& e22 != h3(e10) )
| ~ sP8 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP8])]) ).
fof(f30,plain,
( ( e20 != h4(e13)
& e20 != h4(e12)
& e20 != h4(e11)
& e20 != h4(e10) )
| ~ sP9 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP9])]) ).
fof(f31,plain,
( ( e21 != h4(e13)
& e21 != h4(e12)
& e21 != h4(e11)
& e21 != h4(e10) )
| ~ sP10 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP10])]) ).
fof(f32,plain,
( ( e22 != h4(e13)
& e22 != h4(e12)
& e22 != h4(e11)
& e22 != h4(e10) )
| ~ sP11 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP11])]) ).
fof(f20,plain,
( ( ( e23 != h4(e13)
& e23 != h4(e12)
& e23 != h4(e11)
& e23 != h4(e10) )
| ( e22 != h4(e13)
& e22 != h4(e12)
& e22 != h4(e11)
& e22 != h4(e10) )
| ( e21 != h4(e13)
& e21 != h4(e12)
& e21 != h4(e11)
& e21 != h4(e10) )
| ( e20 != h4(e13)
& e20 != h4(e12)
& e20 != h4(e11)
& e20 != h4(e10) )
| h4(op1(e13,e13)) != op2(h4(e13),h4(e13))
| h4(op1(e13,e12)) != op2(h4(e13),h4(e12))
| h4(op1(e13,e11)) != op2(h4(e13),h4(e11))
| h4(op1(e13,e10)) != op2(h4(e13),h4(e10))
| h4(op1(e12,e13)) != op2(h4(e12),h4(e13))
| h4(op1(e12,e12)) != op2(h4(e12),h4(e12))
| h4(op1(e12,e11)) != op2(h4(e12),h4(e11))
| h4(op1(e12,e10)) != op2(h4(e12),h4(e10))
| h4(op1(e11,e13)) != op2(h4(e11),h4(e13))
| h4(op1(e11,e12)) != op2(h4(e11),h4(e12))
| h4(op1(e11,e11)) != op2(h4(e11),h4(e11))
| h4(op1(e11,e10)) != op2(h4(e11),h4(e10))
| h4(op1(e10,e13)) != op2(h4(e10),h4(e13))
| h4(op1(e10,e12)) != op2(h4(e10),h4(e12))
| h4(op1(e10,e11)) != op2(h4(e10),h4(e11))
| h4(op1(e10,e10)) != op2(h4(e10),h4(e10)) )
& ( ( e23 != h3(e13)
& e23 != h3(e12)
& e23 != h3(e11)
& e23 != h3(e10) )
| ( e22 != h3(e13)
& e22 != h3(e12)
& e22 != h3(e11)
& e22 != h3(e10) )
| ( e21 != h3(e13)
& e21 != h3(e12)
& e21 != h3(e11)
& e21 != h3(e10) )
| ( e20 != h3(e13)
& e20 != h3(e12)
& e20 != h3(e11)
& e20 != h3(e10) )
| h3(op1(e13,e13)) != op2(h3(e13),h3(e13))
| h3(op1(e13,e12)) != op2(h3(e13),h3(e12))
| h3(op1(e13,e11)) != op2(h3(e13),h3(e11))
| h3(op1(e13,e10)) != op2(h3(e13),h3(e10))
| h3(op1(e12,e13)) != op2(h3(e12),h3(e13))
| h3(op1(e12,e12)) != op2(h3(e12),h3(e12))
| h3(op1(e12,e11)) != op2(h3(e12),h3(e11))
| h3(op1(e12,e10)) != op2(h3(e12),h3(e10))
| h3(op1(e11,e13)) != op2(h3(e11),h3(e13))
| h3(op1(e11,e12)) != op2(h3(e11),h3(e12))
| h3(op1(e11,e11)) != op2(h3(e11),h3(e11))
| h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
| h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
| h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
| h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
| h3(op1(e10,e10)) != op2(h3(e10),h3(e10)) )
& ( ( e23 != h2(e13)
& e23 != h2(e12)
& e23 != h2(e11)
& e23 != h2(e10) )
| ( e22 != h2(e13)
& e22 != h2(e12)
& e22 != h2(e11)
& e22 != h2(e10) )
| ( e21 != h2(e13)
& e21 != h2(e12)
& e21 != h2(e11)
& e21 != h2(e10) )
| ( e20 != h2(e13)
& e20 != h2(e12)
& e20 != h2(e11)
& e20 != h2(e10) )
| h2(op1(e13,e13)) != op2(h2(e13),h2(e13))
| h2(op1(e13,e12)) != op2(h2(e13),h2(e12))
| h2(op1(e13,e11)) != op2(h2(e13),h2(e11))
| h2(op1(e13,e10)) != op2(h2(e13),h2(e10))
| h2(op1(e12,e13)) != op2(h2(e12),h2(e13))
| h2(op1(e12,e12)) != op2(h2(e12),h2(e12))
| h2(op1(e12,e11)) != op2(h2(e12),h2(e11))
| h2(op1(e12,e10)) != op2(h2(e12),h2(e10))
| h2(op1(e11,e13)) != op2(h2(e11),h2(e13))
| h2(op1(e11,e12)) != op2(h2(e11),h2(e12))
| h2(op1(e11,e11)) != op2(h2(e11),h2(e11))
| h2(op1(e11,e10)) != op2(h2(e11),h2(e10))
| h2(op1(e10,e13)) != op2(h2(e10),h2(e13))
| h2(op1(e10,e12)) != op2(h2(e10),h2(e12))
| h2(op1(e10,e11)) != op2(h2(e10),h2(e11))
| h2(op1(e10,e10)) != op2(h2(e10),h2(e10)) )
& ( ( e23 != h1(e13)
& e23 != h1(e12)
& e23 != h1(e11)
& e23 != h1(e10) )
| ( e22 != h1(e13)
& e22 != h1(e12)
& e22 != h1(e11)
& e22 != h1(e10) )
| ( e21 != h1(e13)
& e21 != h1(e12)
& e21 != h1(e11)
& e21 != h1(e10) )
| ( e20 != h1(e13)
& e20 != h1(e12)
& e20 != h1(e11)
& e20 != h1(e10) )
| h1(op1(e13,e13)) != op2(h1(e13),h1(e13))
| h1(op1(e13,e12)) != op2(h1(e13),h1(e12))
| h1(op1(e13,e11)) != op2(h1(e13),h1(e11))
| h1(op1(e13,e10)) != op2(h1(e13),h1(e10))
| h1(op1(e12,e13)) != op2(h1(e12),h1(e13))
| h1(op1(e12,e12)) != op2(h1(e12),h1(e12))
| h1(op1(e12,e11)) != op2(h1(e12),h1(e11))
| h1(op1(e12,e10)) != op2(h1(e12),h1(e10))
| h1(op1(e11,e13)) != op2(h1(e11),h1(e13))
| h1(op1(e11,e12)) != op2(h1(e11),h1(e12))
| h1(op1(e11,e11)) != op2(h1(e11),h1(e11))
| h1(op1(e11,e10)) != op2(h1(e11),h1(e10))
| h1(op1(e10,e13)) != op2(h1(e10),h1(e13))
| h1(op1(e10,e12)) != op2(h1(e10),h1(e12))
| h1(op1(e10,e11)) != op2(h1(e10),h1(e11))
| h1(op1(e10,e10)) != op2(h1(e10),h1(e10)) ) ),
inference(ennf_transformation,[],[f19]) ).
fof(f19,negated_conjecture,
~ ( ( ( e23 = h4(e13)
| e23 = h4(e12)
| e23 = h4(e11)
| e23 = h4(e10) )
& ( e22 = h4(e13)
| e22 = h4(e12)
| e22 = h4(e11)
| e22 = h4(e10) )
& ( e21 = h4(e13)
| e21 = h4(e12)
| e21 = h4(e11)
| e21 = h4(e10) )
& ( e20 = h4(e13)
| e20 = h4(e12)
| e20 = h4(e11)
| e20 = h4(e10) )
& h4(op1(e13,e13)) = op2(h4(e13),h4(e13))
& h4(op1(e13,e12)) = op2(h4(e13),h4(e12))
& h4(op1(e13,e11)) = op2(h4(e13),h4(e11))
& h4(op1(e13,e10)) = op2(h4(e13),h4(e10))
& h4(op1(e12,e13)) = op2(h4(e12),h4(e13))
& h4(op1(e12,e12)) = op2(h4(e12),h4(e12))
& h4(op1(e12,e11)) = op2(h4(e12),h4(e11))
& h4(op1(e12,e10)) = op2(h4(e12),h4(e10))
& h4(op1(e11,e13)) = op2(h4(e11),h4(e13))
& h4(op1(e11,e12)) = op2(h4(e11),h4(e12))
& h4(op1(e11,e11)) = op2(h4(e11),h4(e11))
& h4(op1(e11,e10)) = op2(h4(e11),h4(e10))
& h4(op1(e10,e13)) = op2(h4(e10),h4(e13))
& h4(op1(e10,e12)) = op2(h4(e10),h4(e12))
& h4(op1(e10,e11)) = op2(h4(e10),h4(e11))
& h4(op1(e10,e10)) = op2(h4(e10),h4(e10)) )
| ( ( e23 = h3(e13)
| e23 = h3(e12)
| e23 = h3(e11)
| e23 = h3(e10) )
& ( e22 = h3(e13)
| e22 = h3(e12)
| e22 = h3(e11)
| e22 = h3(e10) )
& ( e21 = h3(e13)
| e21 = h3(e12)
| e21 = h3(e11)
| e21 = h3(e10) )
& ( e20 = h3(e13)
| e20 = h3(e12)
| e20 = h3(e11)
| e20 = h3(e10) )
& h3(op1(e13,e13)) = op2(h3(e13),h3(e13))
& h3(op1(e13,e12)) = op2(h3(e13),h3(e12))
& h3(op1(e13,e11)) = op2(h3(e13),h3(e11))
& h3(op1(e13,e10)) = op2(h3(e13),h3(e10))
& h3(op1(e12,e13)) = op2(h3(e12),h3(e13))
& h3(op1(e12,e12)) = op2(h3(e12),h3(e12))
& h3(op1(e12,e11)) = op2(h3(e12),h3(e11))
& h3(op1(e12,e10)) = op2(h3(e12),h3(e10))
& h3(op1(e11,e13)) = op2(h3(e11),h3(e13))
& h3(op1(e11,e12)) = op2(h3(e11),h3(e12))
& h3(op1(e11,e11)) = op2(h3(e11),h3(e11))
& h3(op1(e11,e10)) = op2(h3(e11),h3(e10))
& h3(op1(e10,e13)) = op2(h3(e10),h3(e13))
& h3(op1(e10,e12)) = op2(h3(e10),h3(e12))
& h3(op1(e10,e11)) = op2(h3(e10),h3(e11))
& h3(op1(e10,e10)) = op2(h3(e10),h3(e10)) )
| ( ( e23 = h2(e13)
| e23 = h2(e12)
| e23 = h2(e11)
| e23 = h2(e10) )
& ( e22 = h2(e13)
| e22 = h2(e12)
| e22 = h2(e11)
| e22 = h2(e10) )
& ( e21 = h2(e13)
| e21 = h2(e12)
| e21 = h2(e11)
| e21 = h2(e10) )
& ( e20 = h2(e13)
| e20 = h2(e12)
| e20 = h2(e11)
| e20 = h2(e10) )
& h2(op1(e13,e13)) = op2(h2(e13),h2(e13))
& h2(op1(e13,e12)) = op2(h2(e13),h2(e12))
& h2(op1(e13,e11)) = op2(h2(e13),h2(e11))
& h2(op1(e13,e10)) = op2(h2(e13),h2(e10))
& h2(op1(e12,e13)) = op2(h2(e12),h2(e13))
& h2(op1(e12,e12)) = op2(h2(e12),h2(e12))
& h2(op1(e12,e11)) = op2(h2(e12),h2(e11))
& h2(op1(e12,e10)) = op2(h2(e12),h2(e10))
& h2(op1(e11,e13)) = op2(h2(e11),h2(e13))
& h2(op1(e11,e12)) = op2(h2(e11),h2(e12))
& h2(op1(e11,e11)) = op2(h2(e11),h2(e11))
& h2(op1(e11,e10)) = op2(h2(e11),h2(e10))
& h2(op1(e10,e13)) = op2(h2(e10),h2(e13))
& h2(op1(e10,e12)) = op2(h2(e10),h2(e12))
& h2(op1(e10,e11)) = op2(h2(e10),h2(e11))
& h2(op1(e10,e10)) = op2(h2(e10),h2(e10)) )
| ( ( e23 = h1(e13)
| e23 = h1(e12)
| e23 = h1(e11)
| e23 = h1(e10) )
& ( e22 = h1(e13)
| e22 = h1(e12)
| e22 = h1(e11)
| e22 = h1(e10) )
& ( e21 = h1(e13)
| e21 = h1(e12)
| e21 = h1(e11)
| e21 = h1(e10) )
& ( e20 = h1(e13)
| e20 = h1(e12)
| e20 = h1(e11)
| e20 = h1(e10) )
& h1(op1(e13,e13)) = op2(h1(e13),h1(e13))
& h1(op1(e13,e12)) = op2(h1(e13),h1(e12))
& h1(op1(e13,e11)) = op2(h1(e13),h1(e11))
& h1(op1(e13,e10)) = op2(h1(e13),h1(e10))
& h1(op1(e12,e13)) = op2(h1(e12),h1(e13))
& h1(op1(e12,e12)) = op2(h1(e12),h1(e12))
& h1(op1(e12,e11)) = op2(h1(e12),h1(e11))
& h1(op1(e12,e10)) = op2(h1(e12),h1(e10))
& h1(op1(e11,e13)) = op2(h1(e11),h1(e13))
& h1(op1(e11,e12)) = op2(h1(e11),h1(e12))
& h1(op1(e11,e11)) = op2(h1(e11),h1(e11))
& h1(op1(e11,e10)) = op2(h1(e11),h1(e10))
& h1(op1(e10,e13)) = op2(h1(e10),h1(e13))
& h1(op1(e10,e12)) = op2(h1(e10),h1(e12))
& h1(op1(e10,e11)) = op2(h1(e10),h1(e11))
& h1(op1(e10,e10)) = op2(h1(e10),h1(e10)) ) ),
inference(negated_conjecture,[],[f18]) ).
fof(f18,conjecture,
( ( ( e23 = h4(e13)
| e23 = h4(e12)
| e23 = h4(e11)
| e23 = h4(e10) )
& ( e22 = h4(e13)
| e22 = h4(e12)
| e22 = h4(e11)
| e22 = h4(e10) )
& ( e21 = h4(e13)
| e21 = h4(e12)
| e21 = h4(e11)
| e21 = h4(e10) )
& ( e20 = h4(e13)
| e20 = h4(e12)
| e20 = h4(e11)
| e20 = h4(e10) )
& h4(op1(e13,e13)) = op2(h4(e13),h4(e13))
& h4(op1(e13,e12)) = op2(h4(e13),h4(e12))
& h4(op1(e13,e11)) = op2(h4(e13),h4(e11))
& h4(op1(e13,e10)) = op2(h4(e13),h4(e10))
& h4(op1(e12,e13)) = op2(h4(e12),h4(e13))
& h4(op1(e12,e12)) = op2(h4(e12),h4(e12))
& h4(op1(e12,e11)) = op2(h4(e12),h4(e11))
& h4(op1(e12,e10)) = op2(h4(e12),h4(e10))
& h4(op1(e11,e13)) = op2(h4(e11),h4(e13))
& h4(op1(e11,e12)) = op2(h4(e11),h4(e12))
& h4(op1(e11,e11)) = op2(h4(e11),h4(e11))
& h4(op1(e11,e10)) = op2(h4(e11),h4(e10))
& h4(op1(e10,e13)) = op2(h4(e10),h4(e13))
& h4(op1(e10,e12)) = op2(h4(e10),h4(e12))
& h4(op1(e10,e11)) = op2(h4(e10),h4(e11))
& h4(op1(e10,e10)) = op2(h4(e10),h4(e10)) )
| ( ( e23 = h3(e13)
| e23 = h3(e12)
| e23 = h3(e11)
| e23 = h3(e10) )
& ( e22 = h3(e13)
| e22 = h3(e12)
| e22 = h3(e11)
| e22 = h3(e10) )
& ( e21 = h3(e13)
| e21 = h3(e12)
| e21 = h3(e11)
| e21 = h3(e10) )
& ( e20 = h3(e13)
| e20 = h3(e12)
| e20 = h3(e11)
| e20 = h3(e10) )
& h3(op1(e13,e13)) = op2(h3(e13),h3(e13))
& h3(op1(e13,e12)) = op2(h3(e13),h3(e12))
& h3(op1(e13,e11)) = op2(h3(e13),h3(e11))
& h3(op1(e13,e10)) = op2(h3(e13),h3(e10))
& h3(op1(e12,e13)) = op2(h3(e12),h3(e13))
& h3(op1(e12,e12)) = op2(h3(e12),h3(e12))
& h3(op1(e12,e11)) = op2(h3(e12),h3(e11))
& h3(op1(e12,e10)) = op2(h3(e12),h3(e10))
& h3(op1(e11,e13)) = op2(h3(e11),h3(e13))
& h3(op1(e11,e12)) = op2(h3(e11),h3(e12))
& h3(op1(e11,e11)) = op2(h3(e11),h3(e11))
& h3(op1(e11,e10)) = op2(h3(e11),h3(e10))
& h3(op1(e10,e13)) = op2(h3(e10),h3(e13))
& h3(op1(e10,e12)) = op2(h3(e10),h3(e12))
& h3(op1(e10,e11)) = op2(h3(e10),h3(e11))
& h3(op1(e10,e10)) = op2(h3(e10),h3(e10)) )
| ( ( e23 = h2(e13)
| e23 = h2(e12)
| e23 = h2(e11)
| e23 = h2(e10) )
& ( e22 = h2(e13)
| e22 = h2(e12)
| e22 = h2(e11)
| e22 = h2(e10) )
& ( e21 = h2(e13)
| e21 = h2(e12)
| e21 = h2(e11)
| e21 = h2(e10) )
& ( e20 = h2(e13)
| e20 = h2(e12)
| e20 = h2(e11)
| e20 = h2(e10) )
& h2(op1(e13,e13)) = op2(h2(e13),h2(e13))
& h2(op1(e13,e12)) = op2(h2(e13),h2(e12))
& h2(op1(e13,e11)) = op2(h2(e13),h2(e11))
& h2(op1(e13,e10)) = op2(h2(e13),h2(e10))
& h2(op1(e12,e13)) = op2(h2(e12),h2(e13))
& h2(op1(e12,e12)) = op2(h2(e12),h2(e12))
& h2(op1(e12,e11)) = op2(h2(e12),h2(e11))
& h2(op1(e12,e10)) = op2(h2(e12),h2(e10))
& h2(op1(e11,e13)) = op2(h2(e11),h2(e13))
& h2(op1(e11,e12)) = op2(h2(e11),h2(e12))
& h2(op1(e11,e11)) = op2(h2(e11),h2(e11))
& h2(op1(e11,e10)) = op2(h2(e11),h2(e10))
& h2(op1(e10,e13)) = op2(h2(e10),h2(e13))
& h2(op1(e10,e12)) = op2(h2(e10),h2(e12))
& h2(op1(e10,e11)) = op2(h2(e10),h2(e11))
& h2(op1(e10,e10)) = op2(h2(e10),h2(e10)) )
| ( ( e23 = h1(e13)
| e23 = h1(e12)
| e23 = h1(e11)
| e23 = h1(e10) )
& ( e22 = h1(e13)
| e22 = h1(e12)
| e22 = h1(e11)
| e22 = h1(e10) )
& ( e21 = h1(e13)
| e21 = h1(e12)
| e21 = h1(e11)
| e21 = h1(e10) )
& ( e20 = h1(e13)
| e20 = h1(e12)
| e20 = h1(e11)
| e20 = h1(e10) )
& h1(op1(e13,e13)) = op2(h1(e13),h1(e13))
& h1(op1(e13,e12)) = op2(h1(e13),h1(e12))
& h1(op1(e13,e11)) = op2(h1(e13),h1(e11))
& h1(op1(e13,e10)) = op2(h1(e13),h1(e10))
& h1(op1(e12,e13)) = op2(h1(e12),h1(e13))
& h1(op1(e12,e12)) = op2(h1(e12),h1(e12))
& h1(op1(e12,e11)) = op2(h1(e12),h1(e11))
& h1(op1(e12,e10)) = op2(h1(e12),h1(e10))
& h1(op1(e11,e13)) = op2(h1(e11),h1(e13))
& h1(op1(e11,e12)) = op2(h1(e11),h1(e12))
& h1(op1(e11,e11)) = op2(h1(e11),h1(e11))
& h1(op1(e11,e10)) = op2(h1(e11),h1(e10))
& h1(op1(e10,e13)) = op2(h1(e10),h1(e13))
& h1(op1(e10,e12)) = op2(h1(e10),h1(e12))
& h1(op1(e10,e11)) = op2(h1(e10),h1(e11))
& h1(op1(e10,e10)) = op2(h1(e10),h1(e10)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).
fof(f559,plain,
( ~ spl12_11
| ~ spl12_15 ),
inference(avatar_split_clause,[],[f54,f556,f537]) ).
fof(f54,plain,
( e20 != h4(e10)
| ~ sP9 ),
inference(cnf_transformation,[],[f36]) ).
fof(f36,plain,
( ( e20 != h4(e13)
& e20 != h4(e12)
& e20 != h4(e11)
& e20 != h4(e10) )
| ~ sP9 ),
inference(nnf_transformation,[],[f30]) ).
fof(f530,plain,
( ~ spl12_6
| ~ spl12_9 ),
inference(avatar_split_clause,[],[f51,f527,f513]) ).
fof(f51,plain,
( e21 != h4(e11)
| ~ sP10 ),
inference(cnf_transformation,[],[f35]) ).
fof(f35,plain,
( ( e21 != h4(e13)
& e21 != h4(e12)
& e21 != h4(e11)
& e21 != h4(e10) )
| ~ sP10 ),
inference(nnf_transformation,[],[f31]) ).
fof(f501,plain,
( ~ spl12_1
| ~ spl12_3 ),
inference(avatar_split_clause,[],[f48,f498,f489]) ).
fof(f48,plain,
( e22 != h4(e12)
| ~ sP11 ),
inference(cnf_transformation,[],[f34]) ).
fof(f34,plain,
( ( e22 != h4(e13)
& e22 != h4(e12)
& e22 != h4(e11)
& e22 != h4(e10) )
| ~ sP11 ),
inference(nnf_transformation,[],[f32]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : ALG111+1 : TPTP v8.2.0. Released v2.7.0.
% 0.08/0.15 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.15/0.39 % Computer : n025.cluster.edu
% 0.15/0.39 % Model : x86_64 x86_64
% 0.15/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.39 % Memory : 8042.1875MB
% 0.15/0.39 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.39 % CPULimit : 300
% 0.15/0.39 % WCLimit : 300
% 0.15/0.39 % DateTime : Sat May 18 23:38:23 EDT 2024
% 0.15/0.39 % CPUTime :
% 0.15/0.39 This is a FOF_THM_RFO_PEQ problem
% 0.15/0.39 Running vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.76/0.90 % (14816)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 theBenchmark for (2994ds/34Mi)
% 0.76/0.90 % (14820)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 theBenchmark for (2994ds/34Mi)
% 0.76/0.90 % (14817)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 theBenchmark for (2994ds/51Mi)
% 0.76/0.90 % (14819)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on theBenchmark for (2994ds/33Mi)
% 0.76/0.90 % (14821)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on theBenchmark for (2994ds/45Mi)
% 0.76/0.90 % (14818)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on theBenchmark for (2994ds/78Mi)
% 0.76/0.90 % (14822)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 theBenchmark for (2994ds/83Mi)
% 0.76/0.90 % (14823)lrs-21_1:1_to=lpo:sil=2000:sp=frequency:sos=on:lma=on:i=56:sd=2:ss=axioms:ep=R_0 on theBenchmark for (2994ds/56Mi)
% 0.76/0.91 % (14823)Refutation not found, incomplete strategy% (14823)------------------------------
% 0.76/0.91 % (14823)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.76/0.91 % (14823)Termination reason: Refutation not found, incomplete strategy
% 0.76/0.91
% 0.76/0.91 % (14823)Memory used [KB]: 1460
% 0.76/0.91 % (14823)Time elapsed: 0.014 s
% 0.76/0.91 % (14823)Instructions burned: 31 (million)
% 0.76/0.91 % (14823)------------------------------
% 0.76/0.91 % (14823)------------------------------
% 0.76/0.91 % (14820)Refutation not found, incomplete strategy% (14820)------------------------------
% 0.76/0.91 % (14820)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.76/0.91 % (14820)Termination reason: Refutation not found, incomplete strategy
% 0.76/0.91
% 0.76/0.92 % (14820)Memory used [KB]: 1554
% 0.76/0.92 % (14820)Time elapsed: 0.016 s
% 0.76/0.92 % (14820)Instructions burned: 34 (million)
% 0.76/0.92 % (14816)Instruction limit reached!
% 0.76/0.92 % (14816)------------------------------
% 0.76/0.92 % (14816)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.76/0.92 % (14816)Termination reason: Unknown
% 0.76/0.92 % (14816)Termination phase: Saturation
% 0.76/0.92
% 0.76/0.92 % (14816)Memory used [KB]: 1931
% 0.76/0.92 % (14816)Time elapsed: 0.017 s
% 0.76/0.92 % (14816)Instructions burned: 34 (million)
% 0.76/0.92 % (14816)------------------------------
% 0.76/0.92 % (14816)------------------------------
% 0.76/0.92 % (14820)------------------------------
% 0.76/0.92 % (14820)------------------------------
% 0.76/0.92 % (14819)Instruction limit reached!
% 0.76/0.92 % (14819)------------------------------
% 0.76/0.92 % (14819)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.76/0.92 % (14819)Termination reason: Unknown
% 0.76/0.92 % (14819)Termination phase: Saturation
% 0.76/0.92
% 0.76/0.92 % (14819)Memory used [KB]: 1714
% 0.76/0.92 % (14819)Time elapsed: 0.018 s
% 0.76/0.92 % (14819)Instructions burned: 35 (million)
% 0.76/0.92 % (14819)------------------------------
% 0.76/0.92 % (14819)------------------------------
% 0.76/0.92 % (14824)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 theBenchmark for (2994ds/55Mi)
% 0.76/0.92 % (14826)lrs+1010_1:2_sil=4000:tgt=ground:nwc=10.0:st=2.0:i=208:sd=1:bd=off:ss=axioms_0 on theBenchmark for (2994ds/208Mi)
% 0.76/0.92 % (14825)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 theBenchmark for (2994ds/50Mi)
% 0.76/0.92 % (14827)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 theBenchmark for (2994ds/52Mi)
% 0.76/0.92 % (14821)Instruction limit reached!
% 0.76/0.92 % (14821)------------------------------
% 0.76/0.92 % (14821)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.76/0.92 % (14821)Termination reason: Unknown
% 0.76/0.92 % (14821)Termination phase: Saturation
% 0.76/0.92
% 0.76/0.92 % (14821)Memory used [KB]: 1366
% 0.76/0.92 % (14821)Time elapsed: 0.022 s
% 0.76/0.92 % (14821)Instructions burned: 46 (million)
% 0.76/0.92 % (14821)------------------------------
% 0.76/0.92 % (14821)------------------------------
% 0.76/0.92 % (14817)Instruction limit reached!
% 0.76/0.92 % (14817)------------------------------
% 0.76/0.92 % (14817)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.76/0.92 % (14817)Termination reason: Unknown
% 0.76/0.92 % (14817)Termination phase: Saturation
% 0.76/0.92
% 0.76/0.92 % (14817)Memory used [KB]: 1684
% 0.76/0.92 % (14817)Time elapsed: 0.023 s
% 0.76/0.92 % (14817)Instructions burned: 51 (million)
% 0.76/0.92 % (14817)------------------------------
% 0.76/0.92 % (14817)------------------------------
% 0.76/0.92 % (14828)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 theBenchmark for (2994ds/518Mi)
% 0.76/0.92 % (14829)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 theBenchmark for (2994ds/42Mi)
% 0.76/0.93 % (14818)First to succeed.
% 0.87/0.93 % (14822)Instruction limit reached!
% 0.87/0.93 % (14822)------------------------------
% 0.87/0.93 % (14822)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.87/0.93 % (14822)Termination reason: Unknown
% 0.87/0.93 % (14822)Termination phase: Saturation
% 0.87/0.93
% 0.87/0.93 % (14822)Memory used [KB]: 1751
% 0.87/0.93 % (14822)Time elapsed: 0.035 s
% 0.87/0.93 % (14822)Instructions burned: 84 (million)
% 0.87/0.93 % (14822)------------------------------
% 0.87/0.93 % (14822)------------------------------
% 0.91/0.94 % (14818)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-14815"
% 0.91/0.94 % (14824)Instruction limit reached!
% 0.91/0.94 % (14824)------------------------------
% 0.91/0.94 % (14824)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.91/0.94 % (14824)Termination reason: Unknown
% 0.91/0.94 % (14824)Termination phase: Property scanning
% 0.91/0.94
% 0.91/0.94 % (14824)Memory used [KB]: 1427
% 0.91/0.94 % (14824)Time elapsed: 0.022 s
% 0.91/0.94 % (14824)Instructions burned: 55 (million)
% 0.91/0.94 % (14824)------------------------------
% 0.91/0.94 % (14824)------------------------------
% 0.91/0.94 % (14830)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 theBenchmark for (2994ds/243Mi)
% 0.91/0.94 % (14818)Refutation found. Thanks to Tanya!
% 0.91/0.94 % SZS status Theorem for theBenchmark
% 0.91/0.94 % SZS output start Proof for theBenchmark
% See solution above
% 0.91/0.94 % (14818)------------------------------
% 0.91/0.94 % (14818)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.91/0.94 % (14818)Termination reason: Refutation
% 0.91/0.94
% 0.91/0.94 % (14818)Memory used [KB]: 1813
% 0.91/0.94 % (14818)Time elapsed: 0.039 s
% 0.91/0.94 % (14818)Instructions burned: 80 (million)
% 0.91/0.94 % (14815)Success in time 0.534 s
% 0.91/0.94 % Vampire---4.8 exiting
%------------------------------------------------------------------------------