TSTP Solution File: ALG064+1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : ALG064+1 : TPTP v8.1.0. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% Computer : n026.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Aug 31 15:42:27 EDT 2022
% Result : Theorem 2.22s 0.66s
% Output : Refutation 2.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 154
% Syntax : Number of formulae : 610 ( 75 unt; 0 def)
% Number of atoms : 2333 (1407 equ)
% Maximal formula atoms : 250 ( 3 avg)
% Number of connectives : 2712 ( 989 ~;1138 |; 462 &)
% ( 123 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 101 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 149 ( 147 usr; 148 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 6 con; 0-2 aty)
% Number of variables : 0 ( 0 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2918,plain,
$false,
inference(avatar_sat_refutation,[],[f594,f673,f798,f799,f864,f869,f874,f897,f902,f903,f963,f965,f994,f1007,f1012,f1045,f1061,f1067,f1072,f1082,f1088,f1109,f1111,f1117,f1144,f1178,f1188,f1193,f1194,f1217,f1225,f1231,f1246,f1247,f1248,f1250,f1251,f1256,f1257,f1268,f1291,f1316,f1329,f1335,f1350,f1354,f1356,f1409,f1465,f1486,f1487,f1516,f1517,f1521,f1547,f1552,f1554,f1555,f1569,f1573,f1583,f1616,f1667,f1672,f1729,f1754,f1785,f1792,f1795,f1805,f1838,f1882,f1887,f1910,f2030,f2044,f2085,f2096,f2132,f2196,f2212,f2226,f2228,f2243,f2256,f2283,f2300,f2344,f2347,f2359,f2374,f2390,f2399,f2436,f2448,f2450,f2458,f2470,f2490,f2523,f2530,f2556,f2580,f2589,f2592,f2617,f2651,f2687,f2694,f2727,f2735,f2745,f2784,f2797,f2800,f2809,f2817,f2825,f2867,f2872,f2875,f2892,f2902,f2905,f2910,f2914]) ).
fof(f2914,plain,
( ~ spl24_136
| ~ spl24_150
| ~ spl24_199 ),
inference(avatar_contradiction_clause,[],[f2913]) ).
fof(f2913,plain,
( $false
| ~ spl24_136
| ~ spl24_150
| ~ spl24_199 ),
inference(subsumption_resolution,[],[f2912,f90]) ).
fof(f90,plain,
e0 != e3,
inference(cnf_transformation,[],[f5]) ).
fof(f5,axiom,
( e2 != e3
& e1 != e4
& e0 != e4
& e0 != e3
& e0 != e1
& e0 != e2
& e3 != e4
& e2 != e4
& e1 != e2
& e1 != e3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax5) ).
fof(f2912,plain,
( e0 = e3
| ~ spl24_136
| ~ spl24_150
| ~ spl24_199 ),
inference(forward_demodulation,[],[f2911,f1002]) ).
fof(f1002,plain,
( e0 = op(e2,e1)
| ~ spl24_150 ),
inference(avatar_component_clause,[],[f1000]) ).
fof(f1000,plain,
( spl24_150
<=> e0 = op(e2,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl24_150])]) ).
fof(f2911,plain,
( e3 = op(e2,e1)
| ~ spl24_136
| ~ spl24_199 ),
inference(forward_demodulation,[],[f1267,f933]) ).
fof(f933,plain,
( e2 = op(e3,e1)
| ~ spl24_136 ),
inference(avatar_component_clause,[],[f931]) ).
fof(f931,plain,
( spl24_136
<=> e2 = op(e3,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl24_136])]) ).
fof(f1267,plain,
( e3 = op(op(e3,e1),e1)
| ~ spl24_199 ),
inference(avatar_component_clause,[],[f1265]) ).
fof(f1265,plain,
( spl24_199
<=> e3 = op(op(e3,e1),e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl24_199])]) ).
fof(f2910,plain,
( ~ spl24_136
| ~ spl24_138
| spl24_185 ),
inference(avatar_contradiction_clause,[],[f2909]) ).
fof(f2909,plain,
( $false
| ~ spl24_136
| ~ spl24_138
| spl24_185 ),
inference(subsumption_resolution,[],[f2908,f943]) ).
fof(f943,plain,
( e2 = op(e1,e3)
| ~ spl24_138 ),
inference(avatar_component_clause,[],[f941]) ).
fof(f941,plain,
( spl24_138
<=> e2 = op(e1,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl24_138])]) ).
fof(f2908,plain,
( e2 != op(e1,e3)
| ~ spl24_136
| spl24_185 ),
inference(forward_demodulation,[],[f1177,f933]) ).
fof(f1177,plain,
( op(e1,e3) != op(e3,e1)
| spl24_185 ),
inference(avatar_component_clause,[],[f1175]) ).
fof(f1175,plain,
( spl24_185
<=> op(e1,e3) = op(e3,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl24_185])]) ).
fof(f2905,plain,
( ~ spl24_29
| spl24_40
| ~ spl24_197 ),
inference(avatar_contradiction_clause,[],[f2904]) ).
fof(f2904,plain,
( $false
| ~ spl24_29
| spl24_40
| ~ spl24_197 ),
inference(subsumption_resolution,[],[f2903,f511]) ).
fof(f511,plain,
( e0 != op(e4,e4)
| spl24_40 ),
inference(avatar_component_clause,[],[f510]) ).
fof(f510,plain,
( spl24_40
<=> e0 = op(e4,e4) ),
introduced(avatar_definition,[new_symbols(naming,[spl24_40])]) ).
fof(f2903,plain,
( e0 = op(e4,e4)
| ~ spl24_29
| ~ spl24_197 ),
inference(forward_demodulation,[],[f1255,f465]) ).
fof(f465,plain,
( e4 = op(e0,e4)
| ~ spl24_29 ),
inference(avatar_component_clause,[],[f463]) ).
fof(f463,plain,
( spl24_29
<=> e4 = op(e0,e4) ),
introduced(avatar_definition,[new_symbols(naming,[spl24_29])]) ).
fof(f1255,plain,
( e0 = op(op(e0,e4),e4)
| ~ spl24_197 ),
inference(avatar_component_clause,[],[f1253]) ).
fof(f1253,plain,
( spl24_197
<=> e0 = op(op(e0,e4),e4) ),
introduced(avatar_definition,[new_symbols(naming,[spl24_197])]) ).
fof(f2902,plain,
( ~ spl24_29
| spl24_148
| ~ spl24_167 ),
inference(avatar_contradiction_clause,[],[f2901]) ).
fof(f2901,plain,
( $false
| ~ spl24_29
| spl24_148
| ~ spl24_167 ),
inference(subsumption_resolution,[],[f2900,f465]) ).
fof(f2900,plain,
( e4 != op(e0,e4)
| spl24_148
| ~ spl24_167 ),
inference(forward_demodulation,[],[f993,f1086]) ).
fof(f1086,plain,
( e4 = op(e4,e0)
| ~ spl24_167 ),
inference(avatar_component_clause,[],[f1084]) ).
fof(f1084,plain,
( spl24_167
<=> e4 = op(e4,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl24_167])]) ).
fof(f993,plain,
( op(e0,e4) != op(e4,e0)
| spl24_148 ),
inference(avatar_component_clause,[],[f991]) ).
fof(f991,plain,
( spl24_148
<=> op(e0,e4) = op(e4,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl24_148])]) ).
fof(f2892,plain,
( ~ spl24_125
| ~ spl24_150
| ~ spl24_164 ),
inference(avatar_contradiction_clause,[],[f2891]) ).
fof(f2891,plain,
( $false
| ~ spl24_125
| ~ spl24_150
| ~ spl24_164 ),
inference(subsumption_resolution,[],[f2890,f85]) ).
fof(f85,plain,
e1 != e2,
inference(cnf_transformation,[],[f5]) ).
fof(f2890,plain,
( e1 = e2
| ~ spl24_125
| ~ spl24_150
| ~ spl24_164 ),
inference(forward_demodulation,[],[f2885,f883]) ).
fof(f883,plain,
( e1 = op(e0,e1)
| ~ spl24_125 ),
inference(avatar_component_clause,[],[f881]) ).
fof(f881,plain,
( spl24_125
<=> e1 = op(e0,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl24_125])]) ).
fof(f2885,plain,
( e2 = op(e0,e1)
| ~ spl24_150
| ~ spl24_164 ),
inference(backward_demodulation,[],[f1071,f1002]) ).
fof(f1071,plain,
( e2 = op(op(e2,e1),e1)
| ~ spl24_164 ),
inference(avatar_component_clause,[],[f1069]) ).
fof(f1069,plain,
( spl24_164
<=> e2 = op(op(e2,e1),e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl24_164])]) ).
fof(f2875,plain,
( ~ spl24_13
| spl24_59
| ~ spl24_77 ),
inference(avatar_contradiction_clause,[],[f2874]) ).
fof(f2874,plain,
( $false
| ~ spl24_13
| spl24_59
| ~ spl24_77 ),
inference(subsumption_resolution,[],[f2873,f672]) ).
fof(f672,plain,
( e4 = op(e2,e3)
| ~ spl24_77 ),
inference(avatar_component_clause,[],[f670]) ).
fof(f670,plain,
( spl24_77
<=> e4 = op(e2,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl24_77])]) ).
fof(f2873,plain,
( e4 != op(e2,e3)
| ~ spl24_13
| spl24_59 ),
inference(forward_demodulation,[],[f593,f398]) ).
fof(f398,plain,
( e4 = op(e3,e2)
| ~ spl24_13 ),
inference(avatar_component_clause,[],[f396]) ).
fof(f396,plain,
( spl24_13
<=> e4 = op(e3,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl24_13])]) ).
fof(f593,plain,
( op(e2,e3) != op(e3,e2)
| spl24_59 ),
inference(avatar_component_clause,[],[f591]) ).
fof(f591,plain,
( spl24_59
<=> op(e2,e3) = op(e3,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl24_59])]) ).
fof(f2872,plain,
( ~ spl24_13
| ~ spl24_107
| ~ spl24_196 ),
inference(avatar_contradiction_clause,[],[f2871]) ).
fof(f2871,plain,
( $false
| ~ spl24_13
| ~ spl24_107
| ~ spl24_196 ),
inference(subsumption_resolution,[],[f2870,f84]) ).
fof(f84,plain,
e1 != e3,
inference(cnf_transformation,[],[f5]) ).
fof(f2870,plain,
( e1 = e3
| ~ spl24_13
| ~ spl24_107
| ~ spl24_196 ),
inference(forward_demodulation,[],[f2869,f797]) ).
fof(f797,plain,
( e1 = op(e4,e2)
| ~ spl24_107 ),
inference(avatar_component_clause,[],[f795]) ).
fof(f795,plain,
( spl24_107
<=> e1 = op(e4,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl24_107])]) ).
fof(f2869,plain,
( e3 = op(e4,e2)
| ~ spl24_13
| ~ spl24_196 ),
inference(forward_demodulation,[],[f1245,f398]) ).
fof(f1245,plain,
( e3 = op(op(e3,e2),e2)
| ~ spl24_196 ),
inference(avatar_component_clause,[],[f1243]) ).
fof(f1243,plain,
( spl24_196
<=> e3 = op(op(e3,e2),e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl24_196])]) ).
fof(f2867,plain,
( spl24_25
| ~ spl24_172 ),
inference(avatar_split_clause,[],[f2409,f1106,f446]) ).
fof(f446,plain,
( spl24_25
<=> e2 = op(e2,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl24_25])]) ).
fof(f1106,plain,
( spl24_172
<=> e0 = unit ),
introduced(avatar_definition,[new_symbols(naming,[spl24_172])]) ).
fof(f2409,plain,
( e2 = op(e2,e0)
| ~ spl24_172 ),
inference(backward_demodulation,[],[f99,f1108]) ).
fof(f1108,plain,
( e0 = unit
| ~ spl24_172 ),
inference(avatar_component_clause,[],[f1106]) ).
fof(f99,plain,
e2 = op(e2,unit),
inference(cnf_transformation,[],[f2]) ).
fof(f2,axiom,
( e4 = op(e4,unit)
& e0 = op(unit,e0)
& e1 = op(unit,e1)
& e1 = op(e1,unit)
& e4 = op(unit,e4)
& e2 = op(e2,unit)
& ( e4 = unit
| e1 = unit
| e3 = unit
| e0 = unit
| e2 = unit )
& e3 = op(unit,e3)
& e0 = op(e0,unit)
& e3 = op(e3,unit)
& e2 = op(unit,e2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax2) ).
fof(f2825,plain,
( ~ spl24_129
| ~ spl24_147
| spl24_158 ),
inference(avatar_contradiction_clause,[],[f2824]) ).
fof(f2824,plain,
( $false
| ~ spl24_129
| ~ spl24_147
| spl24_158 ),
inference(subsumption_resolution,[],[f2823,f1038]) ).
fof(f1038,plain,
( e1 != op(e0,e2)
| spl24_158 ),
inference(avatar_component_clause,[],[f1037]) ).
fof(f1037,plain,
( spl24_158
<=> e1 = op(e0,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl24_158])]) ).
fof(f2823,plain,
( e1 = op(e0,e2)
| ~ spl24_129
| ~ spl24_147 ),
inference(forward_demodulation,[],[f901,f988]) ).
fof(f988,plain,
( e0 = op(e1,e2)
| ~ spl24_147 ),
inference(avatar_component_clause,[],[f986]) ).
fof(f986,plain,
( spl24_147
<=> e0 = op(e1,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl24_147])]) ).
fof(f901,plain,
( e1 = op(op(e1,e2),e2)
| ~ spl24_129 ),
inference(avatar_component_clause,[],[f899]) ).
fof(f899,plain,
( spl24_129
<=> e1 = op(op(e1,e2),e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl24_129])]) ).
fof(f2817,plain,
( ~ spl24_39
| ~ spl24_82
| spl24_142 ),
inference(avatar_contradiction_clause,[],[f2816]) ).
fof(f2816,plain,
( $false
| ~ spl24_39
| ~ spl24_82
| spl24_142 ),
inference(subsumption_resolution,[],[f2815,f508]) ).
fof(f508,plain,
( e0 = op(e3,e4)
| ~ spl24_39 ),
inference(avatar_component_clause,[],[f506]) ).
fof(f506,plain,
( spl24_39
<=> e0 = op(e3,e4) ),
introduced(avatar_definition,[new_symbols(naming,[spl24_39])]) ).
fof(f2815,plain,
( e0 != op(e3,e4)
| ~ spl24_82
| spl24_142 ),
inference(forward_demodulation,[],[f962,f693]) ).
fof(f693,plain,
( e0 = op(e4,e3)
| ~ spl24_82 ),
inference(avatar_component_clause,[],[f691]) ).
fof(f691,plain,
( spl24_82
<=> e0 = op(e4,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl24_82])]) ).
fof(f962,plain,
( op(e3,e4) != op(e4,e3)
| spl24_142 ),
inference(avatar_component_clause,[],[f960]) ).
fof(f960,plain,
( spl24_142
<=> op(e3,e4) = op(e4,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl24_142])]) ).
fof(f2809,plain,
( ~ spl24_19
| ~ spl24_25
| spl24_57 ),
inference(avatar_contradiction_clause,[],[f2808]) ).
fof(f2808,plain,
( $false
| ~ spl24_19
| ~ spl24_25
| spl24_57 ),
inference(subsumption_resolution,[],[f2807,f423]) ).
fof(f423,plain,
( e2 = op(e0,e2)
| ~ spl24_19 ),
inference(avatar_component_clause,[],[f421]) ).
fof(f421,plain,
( spl24_19
<=> e2 = op(e0,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl24_19])]) ).
fof(f2807,plain,
( e2 != op(e0,e2)
| ~ spl24_25
| spl24_57 ),
inference(forward_demodulation,[],[f584,f448]) ).
fof(f448,plain,
( e2 = op(e2,e0)
| ~ spl24_25 ),
inference(avatar_component_clause,[],[f446]) ).
fof(f584,plain,
( op(e0,e2) != op(e2,e0)
| spl24_57 ),
inference(avatar_component_clause,[],[f582]) ).
fof(f582,plain,
( spl24_57
<=> op(e0,e2) = op(e2,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl24_57])]) ).
fof(f2800,plain,
( ~ spl24_19
| spl24_139
| ~ spl24_152 ),
inference(avatar_contradiction_clause,[],[f2799]) ).
fof(f2799,plain,
( $false
| ~ spl24_19
| spl24_139
| ~ spl24_152 ),
inference(subsumption_resolution,[],[f2798,f947]) ).
fof(f947,plain,
( e0 != op(e2,e2)
| spl24_139 ),
inference(avatar_component_clause,[],[f946]) ).
fof(f946,plain,
( spl24_139
<=> e0 = op(e2,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl24_139])]) ).
fof(f2798,plain,
( e0 = op(e2,e2)
| ~ spl24_19
| ~ spl24_152 ),
inference(forward_demodulation,[],[f1011,f423]) ).
fof(f1011,plain,
( e0 = op(op(e0,e2),e2)
| ~ spl24_152 ),
inference(avatar_component_clause,[],[f1009]) ).
fof(f1009,plain,
( spl24_152
<=> e0 = op(op(e0,e2),e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl24_152])]) ).
fof(f2797,plain,
( ~ spl24_68
| ~ spl24_73
| spl24_122 ),
inference(avatar_contradiction_clause,[],[f2796]) ).
fof(f2796,plain,
( $false
| ~ spl24_68
| ~ spl24_73
| spl24_122 ),
inference(subsumption_resolution,[],[f2795,f655]) ).
fof(f655,plain,
( e3 = op(e1,e4)
| ~ spl24_73 ),
inference(avatar_component_clause,[],[f653]) ).
fof(f653,plain,
( spl24_73
<=> e3 = op(e1,e4) ),
introduced(avatar_definition,[new_symbols(naming,[spl24_73])]) ).
fof(f2795,plain,
( e3 != op(e1,e4)
| ~ spl24_68
| spl24_122 ),
inference(forward_demodulation,[],[f868,f634]) ).
fof(f634,plain,
( e3 = op(e4,e1)
| ~ spl24_68 ),
inference(avatar_component_clause,[],[f632]) ).
fof(f632,plain,
( spl24_68
<=> e3 = op(e4,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl24_68])]) ).
fof(f868,plain,
( op(e1,e4) != op(e4,e1)
| spl24_122 ),
inference(avatar_component_clause,[],[f866]) ).
fof(f866,plain,
( spl24_122
<=> op(e1,e4) = op(e4,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl24_122])]) ).
fof(f2784,plain,
( ~ spl24_34
| ~ spl24_125
| spl24_187 ),
inference(avatar_contradiction_clause,[],[f2783]) ).
fof(f2783,plain,
( $false
| ~ spl24_34
| ~ spl24_125
| spl24_187 ),
inference(subsumption_resolution,[],[f2782,f883]) ).
fof(f2782,plain,
( e1 != op(e0,e1)
| ~ spl24_34
| spl24_187 ),
inference(forward_demodulation,[],[f1187,f487]) ).
fof(f487,plain,
( e1 = op(e1,e0)
| ~ spl24_34 ),
inference(avatar_component_clause,[],[f485]) ).
fof(f485,plain,
( spl24_34
<=> e1 = op(e1,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl24_34])]) ).
fof(f1187,plain,
( op(e0,e1) != op(e1,e0)
| spl24_187 ),
inference(avatar_component_clause,[],[f1185]) ).
fof(f1185,plain,
( spl24_187
<=> op(e0,e1) = op(e1,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl24_187])]) ).
fof(f2745,plain,
( ~ spl24_52
| spl24_79
| ~ spl24_207 ),
inference(avatar_contradiction_clause,[],[f2744]) ).
fof(f2744,plain,
( $false
| ~ spl24_52
| spl24_79
| ~ spl24_207 ),
inference(subsumption_resolution,[],[f2743,f680]) ).
fof(f680,plain,
( e0 != op(e3,e3)
| spl24_79 ),
inference(avatar_component_clause,[],[f679]) ).
fof(f679,plain,
( spl24_79
<=> e0 = op(e3,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl24_79])]) ).
fof(f2743,plain,
( e0 = op(e3,e3)
| ~ spl24_52
| ~ spl24_207 ),
inference(backward_demodulation,[],[f1328,f563]) ).
fof(f563,plain,
( e3 = op(e0,e3)
| ~ spl24_52 ),
inference(avatar_component_clause,[],[f561]) ).
fof(f561,plain,
( spl24_52
<=> e3 = op(e0,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl24_52])]) ).
fof(f1328,plain,
( e0 = op(op(e0,e3),e3)
| ~ spl24_207 ),
inference(avatar_component_clause,[],[f1326]) ).
fof(f1326,plain,
( spl24_207
<=> e0 = op(op(e0,e3),e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl24_207])]) ).
fof(f2735,plain,
( spl24_52
| ~ spl24_172 ),
inference(avatar_split_clause,[],[f2423,f1106,f561]) ).
fof(f2423,plain,
( e3 = op(e0,e3)
| ~ spl24_172 ),
inference(forward_demodulation,[],[f97,f1108]) ).
fof(f97,plain,
e3 = op(unit,e3),
inference(cnf_transformation,[],[f2]) ).
fof(f2727,plain,
( ~ spl24_107
| ~ spl24_6
| spl24_123 ),
inference(avatar_split_clause,[],[f2726,f871,f366,f795]) ).
fof(f366,plain,
( spl24_6
<=> e1 = op(e2,e4) ),
introduced(avatar_definition,[new_symbols(naming,[spl24_6])]) ).
fof(f871,plain,
( spl24_123
<=> op(e2,e4) = op(e4,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl24_123])]) ).
fof(f2726,plain,
( e1 != op(e4,e2)
| ~ spl24_6
| spl24_123 ),
inference(backward_demodulation,[],[f873,f368]) ).
fof(f368,plain,
( e1 = op(e2,e4)
| ~ spl24_6 ),
inference(avatar_component_clause,[],[f366]) ).
fof(f873,plain,
( op(e2,e4) != op(e4,e2)
| spl24_123 ),
inference(avatar_component_clause,[],[f871]) ).
fof(f2694,plain,
( spl24_167
| ~ spl24_172 ),
inference(avatar_split_clause,[],[f2479,f1106,f1084]) ).
fof(f2479,plain,
( e4 = op(e4,e0)
| ~ spl24_172 ),
inference(forward_demodulation,[],[f104,f1108]) ).
fof(f104,plain,
e4 = op(e4,unit),
inference(cnf_transformation,[],[f2]) ).
fof(f2687,plain,
( ~ spl24_144
| ~ spl24_150 ),
inference(avatar_split_clause,[],[f2686,f1000,f972]) ).
fof(f972,plain,
( spl24_144
<=> e0 = op(e3,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl24_144])]) ).
fof(f2686,plain,
( e0 != op(e3,e1)
| ~ spl24_150 ),
inference(forward_demodulation,[],[f220,f1002]) ).
fof(f220,plain,
op(e2,e1) != op(e3,e1),
inference(cnf_transformation,[],[f4]) ).
fof(f4,axiom,
( op(e0,e2) != op(e1,e2)
& op(e1,e0) != op(e3,e0)
& op(e0,e2) != op(e0,e3)
& op(e0,e3) != op(e1,e3)
& op(e2,e1) != op(e2,e3)
& op(e0,e4) != op(e2,e4)
& op(e3,e0) != op(e3,e2)
& op(e0,e2) != op(e2,e2)
& op(e3,e2) != op(e3,e4)
& op(e0,e1) != op(e3,e1)
& op(e4,e0) != op(e4,e4)
& op(e0,e0) != op(e1,e0)
& op(e3,e0) != op(e4,e0)
& op(e3,e0) != op(e3,e3)
& op(e0,e0) != op(e0,e4)
& op(e0,e4) != op(e3,e4)
& op(e1,e2) != op(e1,e3)
& op(e4,e0) != op(e4,e1)
& op(e1,e1) != op(e3,e1)
& op(e2,e3) != op(e3,e3)
& op(e2,e0) != op(e3,e0)
& op(e0,e1) != op(e0,e3)
& op(e1,e2) != op(e3,e2)
& op(e0,e2) != op(e0,e4)
& op(e3,e4) != op(e4,e4)
& op(e4,e2) != op(e4,e3)
& op(e0,e1) != op(e4,e1)
& op(e3,e1) != op(e3,e3)
& op(e1,e3) != op(e2,e3)
& op(e1,e2) != op(e4,e2)
& op(e2,e2) != op(e2,e3)
& op(e0,e3) != op(e2,e3)
& op(e2,e4) != op(e4,e4)
& op(e3,e3) != op(e4,e3)
& op(e2,e0) != op(e2,e1)
& op(e3,e0) != op(e3,e1)
& op(e0,e1) != op(e1,e1)
& op(e3,e2) != op(e4,e2)
& op(e2,e1) != op(e3,e1)
& op(e1,e2) != op(e1,e4)
& op(e1,e3) != op(e4,e3)
& op(e1,e0) != op(e2,e0)
& op(e0,e1) != op(e2,e1)
& op(e0,e4) != op(e1,e4)
& op(e2,e0) != op(e2,e4)
& op(e1,e1) != op(e2,e1)
& op(e3,e2) != op(e3,e3)
& op(e3,e1) != op(e4,e1)
& op(e1,e1) != op(e1,e2)
& op(e0,e0) != op(e2,e0)
& op(e3,e1) != op(e3,e2)
& op(e1,e4) != op(e4,e4)
& op(e1,e0) != op(e4,e0)
& op(e0,e0) != op(e4,e0)
& op(e1,e0) != op(e1,e4)
& op(e3,e3) != op(e3,e4)
& op(e0,e4) != op(e4,e4)
& op(e1,e3) != op(e1,e4)
& op(e2,e1) != op(e2,e2)
& op(e2,e1) != op(e2,e4)
& op(e1,e3) != op(e3,e3)
& op(e2,e2) != op(e4,e2)
& op(e4,e1) != op(e4,e4)
& op(e0,e2) != op(e3,e2)
& op(e2,e2) != op(e2,e4)
& op(e0,e2) != op(e4,e2)
& op(e2,e0) != op(e2,e2)
& op(e2,e1) != op(e4,e1)
& op(e2,e3) != op(e4,e3)
& op(e0,e3) != op(e0,e4)
& op(e0,e0) != op(e0,e3)
& op(e1,e2) != op(e2,e2)
& op(e0,e3) != op(e3,e3)
& op(e1,e0) != op(e1,e1)
& op(e3,e0) != op(e3,e4)
& op(e4,e3) != op(e4,e4)
& op(e4,e1) != op(e4,e2)
& op(e1,e1) != op(e1,e3)
& op(e1,e4) != op(e3,e4)
& op(e4,e1) != op(e4,e3)
& op(e1,e1) != op(e1,e4)
& op(e0,e0) != op(e3,e0)
& op(e2,e3) != op(e2,e4)
& op(e0,e0) != op(e0,e1)
& op(e0,e3) != op(e4,e3)
& op(e2,e0) != op(e2,e3)
& op(e1,e0) != op(e1,e2)
& op(e2,e0) != op(e4,e0)
& op(e1,e0) != op(e1,e3)
& op(e4,e0) != op(e4,e2)
& op(e1,e4) != op(e2,e4)
& op(e0,e1) != op(e0,e2)
& op(e4,e2) != op(e4,e4)
& op(e3,e1) != op(e3,e4)
& op(e2,e2) != op(e3,e2)
& op(e4,e0) != op(e4,e3)
& op(e1,e1) != op(e4,e1)
& op(e0,e0) != op(e0,e2)
& op(e0,e1) != op(e0,e4)
& op(e2,e4) != op(e3,e4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax4) ).
fof(f2651,plain,
( ~ spl24_34
| ~ spl24_36 ),
inference(avatar_split_clause,[],[f2386,f493,f485]) ).
fof(f493,plain,
( spl24_36
<=> e1 = op(e1,e4) ),
introduced(avatar_definition,[new_symbols(naming,[spl24_36])]) ).
fof(f2386,plain,
( e1 != op(e1,e0)
| ~ spl24_36 ),
inference(forward_demodulation,[],[f204,f495]) ).
fof(f495,plain,
( e1 = op(e1,e4)
| ~ spl24_36 ),
inference(avatar_component_clause,[],[f493]) ).
fof(f204,plain,
op(e1,e0) != op(e1,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f2617,plain,
( ~ spl24_172
| ~ spl24_175 ),
inference(avatar_contradiction_clause,[],[f2616]) ).
fof(f2616,plain,
( $false
| ~ spl24_172
| ~ spl24_175 ),
inference(subsumption_resolution,[],[f2615,f87]) ).
fof(f87,plain,
e3 != e4,
inference(cnf_transformation,[],[f5]) ).
fof(f2615,plain,
( e3 = e4
| ~ spl24_172
| ~ spl24_175 ),
inference(forward_demodulation,[],[f2410,f1125]) ).
fof(f1125,plain,
( e3 = op(e0,e4)
| ~ spl24_175 ),
inference(avatar_component_clause,[],[f1123]) ).
fof(f1123,plain,
( spl24_175
<=> e3 = op(e0,e4) ),
introduced(avatar_definition,[new_symbols(naming,[spl24_175])]) ).
fof(f2410,plain,
( e4 = op(e0,e4)
| ~ spl24_172 ),
inference(backward_demodulation,[],[f100,f1108]) ).
fof(f100,plain,
e4 = op(unit,e4),
inference(cnf_transformation,[],[f2]) ).
fof(f2592,plain,
( spl24_34
| ~ spl24_172 ),
inference(avatar_split_clause,[],[f2411,f1106,f485]) ).
fof(f2411,plain,
( e1 = op(e1,e0)
| ~ spl24_172 ),
inference(backward_demodulation,[],[f101,f1108]) ).
fof(f101,plain,
e1 = op(e1,unit),
inference(cnf_transformation,[],[f2]) ).
fof(f2589,plain,
( ~ spl24_159
| ~ spl24_132 ),
inference(avatar_split_clause,[],[f2588,f914,f1042]) ).
fof(f1042,plain,
( spl24_159
<=> e0 = op(e4,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl24_159])]) ).
fof(f914,plain,
( spl24_132
<=> e0 = op(e0,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl24_132])]) ).
fof(f2588,plain,
( e0 != op(e4,e0)
| ~ spl24_132 ),
inference(forward_demodulation,[],[f205,f916]) ).
fof(f916,plain,
( e0 = op(e0,e0)
| ~ spl24_132 ),
inference(avatar_component_clause,[],[f914]) ).
fof(f205,plain,
op(e0,e0) != op(e4,e0),
inference(cnf_transformation,[],[f4]) ).
fof(f2580,plain,
( ~ spl24_37
| ~ spl24_47 ),
inference(avatar_contradiction_clause,[],[f2579]) ).
fof(f2579,plain,
( $false
| ~ spl24_37
| ~ spl24_47 ),
inference(subsumption_resolution,[],[f2577,f92]) ).
fof(f92,plain,
e1 != e4,
inference(cnf_transformation,[],[f5]) ).
fof(f2577,plain,
( e1 = e4
| ~ spl24_37
| ~ spl24_47 ),
inference(backward_demodulation,[],[f542,f499]) ).
fof(f499,plain,
( e1 = op(e1,e1)
| ~ spl24_37 ),
inference(avatar_component_clause,[],[f497]) ).
fof(f497,plain,
( spl24_37
<=> e1 = op(e1,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl24_37])]) ).
fof(f542,plain,
( e4 = op(e1,e1)
| ~ spl24_47 ),
inference(avatar_component_clause,[],[f540]) ).
fof(f540,plain,
( spl24_47
<=> e4 = op(e1,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl24_47])]) ).
fof(f2556,plain,
( spl24_19
| ~ spl24_172 ),
inference(avatar_split_clause,[],[f2455,f1106,f421]) ).
fof(f2455,plain,
( e2 = op(e0,e2)
| ~ spl24_172 ),
inference(forward_demodulation,[],[f94,f1108]) ).
fof(f94,plain,
e2 = op(unit,e2),
inference(cnf_transformation,[],[f2]) ).
fof(f2530,plain,
( ~ spl24_151
| ~ spl24_47 ),
inference(avatar_split_clause,[],[f2529,f540,f1004]) ).
fof(f1004,plain,
( spl24_151
<=> e4 = op(e2,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl24_151])]) ).
fof(f2529,plain,
( e4 != op(e2,e1)
| ~ spl24_47 ),
inference(forward_demodulation,[],[f213,f542]) ).
fof(f213,plain,
op(e1,e1) != op(e2,e1),
inference(cnf_transformation,[],[f4]) ).
fof(f2523,plain,
( ~ spl24_128
| ~ spl24_121 ),
inference(avatar_split_clause,[],[f2522,f861,f894]) ).
fof(f894,plain,
( spl24_128
<=> e3 = op(e4,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl24_128])]) ).
fof(f861,plain,
( spl24_121
<=> e3 = op(e3,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl24_121])]) ).
fof(f2522,plain,
( e3 != op(e4,e0)
| ~ spl24_121 ),
inference(forward_demodulation,[],[f246,f863]) ).
fof(f863,plain,
( e3 = op(e3,e0)
| ~ spl24_121 ),
inference(avatar_component_clause,[],[f861]) ).
fof(f246,plain,
op(e3,e0) != op(e4,e0),
inference(cnf_transformation,[],[f4]) ).
fof(f2490,plain,
( spl24_125
| ~ spl24_172 ),
inference(avatar_contradiction_clause,[],[f2489]) ).
fof(f2489,plain,
( $false
| spl24_125
| ~ spl24_172 ),
inference(subsumption_resolution,[],[f2488,f882]) ).
fof(f882,plain,
( e1 != op(e0,e1)
| spl24_125 ),
inference(avatar_component_clause,[],[f881]) ).
fof(f2488,plain,
( e1 = op(e0,e1)
| ~ spl24_172 ),
inference(forward_demodulation,[],[f102,f1108]) ).
fof(f102,plain,
e1 = op(unit,e1),
inference(cnf_transformation,[],[f2]) ).
fof(f2470,plain,
( ~ spl24_127
| ~ spl24_155 ),
inference(avatar_contradiction_clause,[],[f2469]) ).
fof(f2469,plain,
( $false
| ~ spl24_127
| ~ spl24_155 ),
inference(subsumption_resolution,[],[f2468,f93]) ).
fof(f93,plain,
e2 != e3,
inference(cnf_transformation,[],[f5]) ).
fof(f2468,plain,
( e2 = e3
| ~ spl24_127
| ~ spl24_155 ),
inference(forward_demodulation,[],[f892,f1026]) ).
fof(f1026,plain,
( e2 = op(e4,e4)
| ~ spl24_155 ),
inference(avatar_component_clause,[],[f1024]) ).
fof(f1024,plain,
( spl24_155
<=> e2 = op(e4,e4) ),
introduced(avatar_definition,[new_symbols(naming,[spl24_155])]) ).
fof(f892,plain,
( e3 = op(e4,e4)
| ~ spl24_127 ),
inference(avatar_component_clause,[],[f890]) ).
fof(f890,plain,
( spl24_127
<=> e3 = op(e4,e4) ),
introduced(avatar_definition,[new_symbols(naming,[spl24_127])]) ).
fof(f2458,plain,
( ~ spl24_158
| ~ spl24_172 ),
inference(avatar_contradiction_clause,[],[f2457]) ).
fof(f2457,plain,
( $false
| ~ spl24_158
| ~ spl24_172 ),
inference(subsumption_resolution,[],[f2456,f85]) ).
fof(f2456,plain,
( e1 = e2
| ~ spl24_158
| ~ spl24_172 ),
inference(forward_demodulation,[],[f2455,f1039]) ).
fof(f1039,plain,
( e1 = op(e0,e2)
| ~ spl24_158 ),
inference(avatar_component_clause,[],[f1037]) ).
fof(f2450,plain,
( spl24_132
| ~ spl24_172 ),
inference(avatar_split_clause,[],[f2449,f1106,f914]) ).
fof(f2449,plain,
( e0 = op(e0,e0)
| ~ spl24_172 ),
inference(forward_demodulation,[],[f103,f1108]) ).
fof(f103,plain,
e0 = op(unit,e0),
inference(cnf_transformation,[],[f2]) ).
fof(f2448,plain,
( ~ spl24_130
| ~ spl24_138 ),
inference(avatar_split_clause,[],[f2447,f941,f905]) ).
fof(f905,plain,
( spl24_130
<=> e2 = op(e3,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl24_130])]) ).
fof(f2447,plain,
( e2 != op(e3,e3)
| ~ spl24_138 ),
inference(forward_demodulation,[],[f198,f943]) ).
fof(f198,plain,
op(e1,e3) != op(e3,e3),
inference(cnf_transformation,[],[f4]) ).
fof(f2436,plain,
( ~ spl24_8
| ~ spl24_155 ),
inference(avatar_split_clause,[],[f2435,f1024,f374]) ).
fof(f374,plain,
( spl24_8
<=> e2 = op(e2,e4) ),
introduced(avatar_definition,[new_symbols(naming,[spl24_8])]) ).
fof(f2435,plain,
( e2 != op(e2,e4)
| ~ spl24_155 ),
inference(forward_demodulation,[],[f226,f1026]) ).
fof(f226,plain,
op(e2,e4) != op(e4,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f2399,plain,
( ~ spl24_22
| ~ spl24_155 ),
inference(avatar_contradiction_clause,[],[f2398]) ).
fof(f2398,plain,
( $false
| ~ spl24_22
| ~ spl24_155 ),
inference(subsumption_resolution,[],[f2397,f435]) ).
fof(f435,plain,
( e2 = op(e4,e2)
| ~ spl24_22 ),
inference(avatar_component_clause,[],[f433]) ).
fof(f433,plain,
( spl24_22
<=> e2 = op(e4,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl24_22])]) ).
fof(f2397,plain,
( e2 != op(e4,e2)
| ~ spl24_155 ),
inference(forward_demodulation,[],[f166,f1026]) ).
fof(f166,plain,
op(e4,e2) != op(e4,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f2390,plain,
( ~ spl24_79
| ~ spl24_82 ),
inference(avatar_split_clause,[],[f2389,f691,f679]) ).
fof(f2389,plain,
( e0 != op(e3,e3)
| ~ spl24_82 ),
inference(forward_demodulation,[],[f225,f693]) ).
fof(f225,plain,
op(e3,e3) != op(e4,e3),
inference(cnf_transformation,[],[f4]) ).
fof(f2374,plain,
( ~ spl24_193
| ~ spl24_121 ),
inference(avatar_split_clause,[],[f2368,f861,f1228]) ).
fof(f1228,plain,
( spl24_193
<=> e3 = op(e3,e4) ),
introduced(avatar_definition,[new_symbols(naming,[spl24_193])]) ).
fof(f2368,plain,
( e3 != op(e3,e4)
| ~ spl24_121 ),
inference(backward_demodulation,[],[f184,f863]) ).
fof(f184,plain,
op(e3,e0) != op(e3,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f2359,plain,
( ~ spl24_132
| ~ spl24_81 ),
inference(avatar_split_clause,[],[f2358,f687,f914]) ).
fof(f687,plain,
( spl24_81
<=> e0 = op(e0,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl24_81])]) ).
fof(f2358,plain,
( e0 != op(e0,e0)
| ~ spl24_81 ),
inference(forward_demodulation,[],[f188,f689]) ).
fof(f689,plain,
( e0 = op(e0,e3)
| ~ spl24_81 ),
inference(avatar_component_clause,[],[f687]) ).
fof(f188,plain,
op(e0,e0) != op(e0,e3),
inference(cnf_transformation,[],[f4]) ).
fof(f2347,plain,
( ~ spl24_23
| ~ spl24_25 ),
inference(avatar_split_clause,[],[f2346,f446,f438]) ).
fof(f438,plain,
( spl24_23
<=> e2 = op(e3,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl24_23])]) ).
fof(f2346,plain,
( e2 != op(e3,e0)
| ~ spl24_25 ),
inference(forward_demodulation,[],[f238,f448]) ).
fof(f238,plain,
op(e2,e0) != op(e3,e0),
inference(cnf_transformation,[],[f4]) ).
fof(f2344,plain,
( ~ spl24_45
| ~ spl24_34 ),
inference(avatar_split_clause,[],[f2343,f485,f531]) ).
fof(f531,plain,
( spl24_45
<=> e1 = op(e3,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl24_45])]) ).
fof(f2343,plain,
( e1 != op(e3,e0)
| ~ spl24_34 ),
inference(forward_demodulation,[],[f257,f487]) ).
fof(f257,plain,
op(e1,e0) != op(e3,e0),
inference(cnf_transformation,[],[f4]) ).
fof(f2300,plain,
( ~ spl24_156
| ~ spl24_155 ),
inference(avatar_split_clause,[],[f2298,f1024,f1028]) ).
fof(f1028,plain,
( spl24_156
<=> e2 = op(e3,e4) ),
introduced(avatar_definition,[new_symbols(naming,[spl24_156])]) ).
fof(f2298,plain,
( e2 != op(e3,e4)
| ~ spl24_155 ),
inference(backward_demodulation,[],[f234,f1026]) ).
fof(f234,plain,
op(e3,e4) != op(e4,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f2283,plain,
( ~ spl24_188
| ~ spl24_107 ),
inference(avatar_split_clause,[],[f2282,f795,f1190]) ).
fof(f1190,plain,
( spl24_188
<=> e1 = op(e4,e4) ),
introduced(avatar_definition,[new_symbols(naming,[spl24_188])]) ).
fof(f2282,plain,
( e1 != op(e4,e4)
| ~ spl24_107 ),
inference(forward_demodulation,[],[f166,f797]) ).
fof(f2256,plain,
( ~ spl24_155
| ~ spl24_157 ),
inference(avatar_split_clause,[],[f2252,f1032,f1024]) ).
fof(f1032,plain,
( spl24_157
<=> e2 = op(e0,e4) ),
introduced(avatar_definition,[new_symbols(naming,[spl24_157])]) ).
fof(f2252,plain,
( e2 != op(e4,e4)
| ~ spl24_157 ),
inference(backward_demodulation,[],[f202,f1034]) ).
fof(f1034,plain,
( e2 = op(e0,e4)
| ~ spl24_157 ),
inference(avatar_component_clause,[],[f1032]) ).
fof(f202,plain,
op(e0,e4) != op(e4,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f2243,plain,
( ~ spl24_34
| ~ spl24_64 ),
inference(avatar_split_clause,[],[f2242,f614,f485]) ).
fof(f614,plain,
( spl24_64
<=> op(e0,e0) = e1 ),
introduced(avatar_definition,[new_symbols(naming,[spl24_64])]) ).
fof(f2242,plain,
( e1 != op(e1,e0)
| ~ spl24_64 ),
inference(backward_demodulation,[],[f247,f616]) ).
fof(f616,plain,
( op(e0,e0) = e1
| ~ spl24_64 ),
inference(avatar_component_clause,[],[f614]) ).
fof(f247,plain,
op(e0,e0) != op(e1,e0),
inference(cnf_transformation,[],[f4]) ).
fof(f2228,plain,
( ~ spl24_132
| ~ spl24_120 ),
inference(avatar_split_clause,[],[f2227,f857,f914]) ).
fof(f857,plain,
( spl24_120
<=> e0 = op(e3,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl24_120])]) ).
fof(f2227,plain,
( e0 != op(e0,e0)
| ~ spl24_120 ),
inference(forward_demodulation,[],[f177,f859]) ).
fof(f859,plain,
( e0 = op(e3,e0)
| ~ spl24_120 ),
inference(avatar_component_clause,[],[f857]) ).
fof(f177,plain,
op(e0,e0) != op(e3,e0),
inference(cnf_transformation,[],[f4]) ).
fof(f2226,plain,
( ~ spl24_75
| ~ spl24_47 ),
inference(avatar_split_clause,[],[f2225,f540,f662]) ).
fof(f662,plain,
( spl24_75
<=> e4 = op(e1,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl24_75])]) ).
fof(f2225,plain,
( e4 != op(e1,e3)
| ~ spl24_47 ),
inference(forward_demodulation,[],[f181,f542]) ).
fof(f181,plain,
op(e1,e1) != op(e1,e3),
inference(cnf_transformation,[],[f4]) ).
fof(f2212,plain,
( spl24_55
| ~ spl24_171 ),
inference(avatar_contradiction_clause,[],[f2211]) ).
fof(f2211,plain,
( $false
| spl24_55
| ~ spl24_171 ),
inference(subsumption_resolution,[],[f2142,f574]) ).
fof(f574,plain,
( e3 != op(e3,e3)
| spl24_55 ),
inference(avatar_component_clause,[],[f573]) ).
fof(f573,plain,
( spl24_55
<=> e3 = op(e3,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl24_55])]) ).
fof(f2142,plain,
( e3 = op(e3,e3)
| ~ spl24_171 ),
inference(forward_demodulation,[],[f97,f1104]) ).
fof(f1104,plain,
( e3 = unit
| ~ spl24_171 ),
inference(avatar_component_clause,[],[f1102]) ).
fof(f1102,plain,
( spl24_171
<=> e3 = unit ),
introduced(avatar_definition,[new_symbols(naming,[spl24_171])]) ).
fof(f2196,plain,
( spl24_81
| ~ spl24_171 ),
inference(avatar_split_clause,[],[f2086,f1102,f687]) ).
fof(f2086,plain,
( e0 = op(e0,e3)
| ~ spl24_171 ),
inference(forward_demodulation,[],[f96,f1104]) ).
fof(f96,plain,
e0 = op(e0,unit),
inference(cnf_transformation,[],[f2]) ).
fof(f2132,plain,
( ~ spl24_2
| ~ spl24_140 ),
inference(avatar_contradiction_clause,[],[f2131]) ).
fof(f2131,plain,
( $false
| ~ spl24_2
| ~ spl24_140 ),
inference(subsumption_resolution,[],[f2130,f84]) ).
fof(f2130,plain,
( e1 = e3
| ~ spl24_2
| ~ spl24_140 ),
inference(backward_demodulation,[],[f351,f952]) ).
fof(f952,plain,
( e1 = op(e2,e2)
| ~ spl24_140 ),
inference(avatar_component_clause,[],[f950]) ).
fof(f950,plain,
( spl24_140
<=> e1 = op(e2,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl24_140])]) ).
fof(f351,plain,
( e3 = op(e2,e2)
| ~ spl24_2 ),
inference(avatar_component_clause,[],[f349]) ).
fof(f349,plain,
( spl24_2
<=> e3 = op(e2,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl24_2])]) ).
fof(f2096,plain,
( ~ spl24_52
| ~ spl24_121
| spl24_141 ),
inference(avatar_contradiction_clause,[],[f2095]) ).
fof(f2095,plain,
( $false
| ~ spl24_52
| ~ spl24_121
| spl24_141 ),
inference(subsumption_resolution,[],[f2094,f563]) ).
fof(f2094,plain,
( e3 != op(e0,e3)
| ~ spl24_121
| spl24_141 ),
inference(forward_demodulation,[],[f957,f863]) ).
fof(f957,plain,
( op(e0,e3) != op(e3,e0)
| spl24_141 ),
inference(avatar_component_clause,[],[f955]) ).
fof(f955,plain,
( spl24_141
<=> op(e0,e3) = op(e3,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl24_141])]) ).
fof(f2085,plain,
( ~ spl24_9
| ~ spl24_2 ),
inference(avatar_split_clause,[],[f2084,f349,f378]) ).
fof(f378,plain,
( spl24_9
<=> e3 = op(e2,e4) ),
introduced(avatar_definition,[new_symbols(naming,[spl24_9])]) ).
fof(f2084,plain,
( e3 != op(e2,e4)
| ~ spl24_2 ),
inference(forward_demodulation,[],[f194,f351]) ).
fof(f194,plain,
op(e2,e2) != op(e2,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f2044,plain,
( ~ spl24_40
| ~ spl24_155 ),
inference(avatar_contradiction_clause,[],[f2043]) ).
fof(f2043,plain,
( $false
| ~ spl24_40
| ~ spl24_155 ),
inference(subsumption_resolution,[],[f2042,f88]) ).
fof(f88,plain,
e0 != e2,
inference(cnf_transformation,[],[f5]) ).
fof(f2042,plain,
( e0 = e2
| ~ spl24_40
| ~ spl24_155 ),
inference(forward_demodulation,[],[f1026,f512]) ).
fof(f512,plain,
( e0 = op(e4,e4)
| ~ spl24_40 ),
inference(avatar_component_clause,[],[f510]) ).
fof(f2030,plain,
( ~ spl24_167
| ~ spl24_76 ),
inference(avatar_split_clause,[],[f1936,f666,f1084]) ).
fof(f666,plain,
( spl24_76
<=> e4 = op(e4,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl24_76])]) ).
fof(f1936,plain,
( e4 != op(e4,e0)
| ~ spl24_76 ),
inference(forward_demodulation,[],[f163,f668]) ).
fof(f668,plain,
( e4 = op(e4,e3)
| ~ spl24_76 ),
inference(avatar_component_clause,[],[f666]) ).
fof(f163,plain,
op(e4,e0) != op(e4,e3),
inference(cnf_transformation,[],[f4]) ).
fof(f1910,plain,
( spl24_155
| ~ spl24_47 ),
inference(avatar_split_clause,[],[f1909,f540,f1024]) ).
fof(f1909,plain,
( e2 = op(e4,e4)
| ~ spl24_47 ),
inference(forward_demodulation,[],[f108,f542]) ).
fof(f108,plain,
e2 = op(op(e1,e1),op(e1,e1)),
inference(cnf_transformation,[],[f6]) ).
fof(f6,axiom,
( e2 = op(op(e1,e1),op(e1,e1))
& e3 = op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1)))
& e4 = op(e1,e1)
& e0 = op(e1,op(op(e1,e1),op(e1,e1))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax6) ).
fof(f1887,plain,
( spl24_3
| ~ spl24_170 ),
inference(avatar_split_clause,[],[f1886,f1098,f353]) ).
fof(f353,plain,
( spl24_3
<=> e3 = op(e3,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl24_3])]) ).
fof(f1098,plain,
( spl24_170
<=> e2 = unit ),
introduced(avatar_definition,[new_symbols(naming,[spl24_170])]) ).
fof(f1886,plain,
( e3 = op(e3,e2)
| ~ spl24_170 ),
inference(backward_demodulation,[],[f95,f1100]) ).
fof(f1100,plain,
( e2 = unit
| ~ spl24_170 ),
inference(avatar_component_clause,[],[f1098]) ).
fof(f95,plain,
e3 = op(e3,unit),
inference(cnf_transformation,[],[f2]) ).
fof(f1882,plain,
( ~ spl24_21
| ~ spl24_147 ),
inference(avatar_contradiction_clause,[],[f1881]) ).
fof(f1881,plain,
( $false
| ~ spl24_21
| ~ spl24_147 ),
inference(subsumption_resolution,[],[f1880,f88]) ).
fof(f1880,plain,
( e0 = e2
| ~ spl24_21
| ~ spl24_147 ),
inference(forward_demodulation,[],[f431,f988]) ).
fof(f431,plain,
( e2 = op(e1,e2)
| ~ spl24_21 ),
inference(avatar_component_clause,[],[f429]) ).
fof(f429,plain,
( spl24_21
<=> e2 = op(e1,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl24_21])]) ).
fof(f1838,plain,
( ~ spl24_55
| ~ spl24_79 ),
inference(avatar_contradiction_clause,[],[f1837]) ).
fof(f1837,plain,
( $false
| ~ spl24_55
| ~ spl24_79 ),
inference(subsumption_resolution,[],[f1836,f90]) ).
fof(f1836,plain,
( e0 = e3
| ~ spl24_55
| ~ spl24_79 ),
inference(forward_demodulation,[],[f575,f681]) ).
fof(f681,plain,
( e0 = op(e3,e3)
| ~ spl24_79 ),
inference(avatar_component_clause,[],[f679]) ).
fof(f575,plain,
( e3 = op(e3,e3)
| ~ spl24_55 ),
inference(avatar_component_clause,[],[f573]) ).
fof(f1805,plain,
( ~ spl24_167
| ~ spl24_106 ),
inference(avatar_split_clause,[],[f1802,f791,f1084]) ).
fof(f791,plain,
( spl24_106
<=> e4 = op(e4,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl24_106])]) ).
fof(f1802,plain,
( e4 != op(e4,e0)
| ~ spl24_106 ),
inference(backward_demodulation,[],[f169,f793]) ).
fof(f793,plain,
( e4 = op(e4,e2)
| ~ spl24_106 ),
inference(avatar_component_clause,[],[f791]) ).
fof(f169,plain,
op(e4,e0) != op(e4,e2),
inference(cnf_transformation,[],[f4]) ).
fof(f1795,plain,
( ~ spl24_107
| ~ spl24_44 ),
inference(avatar_split_clause,[],[f1794,f527,f795]) ).
fof(f527,plain,
( spl24_44
<=> e1 = op(e3,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl24_44])]) ).
fof(f1794,plain,
( e1 != op(e4,e2)
| ~ spl24_44 ),
inference(forward_demodulation,[],[f221,f529]) ).
fof(f529,plain,
( e1 = op(e3,e2)
| ~ spl24_44 ),
inference(avatar_component_clause,[],[f527]) ).
fof(f221,plain,
op(e3,e2) != op(e4,e2),
inference(cnf_transformation,[],[f4]) ).
fof(f1792,plain,
( spl24_37
| ~ spl24_169 ),
inference(avatar_split_clause,[],[f1791,f1094,f497]) ).
fof(f1094,plain,
( spl24_169
<=> e1 = unit ),
introduced(avatar_definition,[new_symbols(naming,[spl24_169])]) ).
fof(f1791,plain,
( e1 = op(e1,e1)
| ~ spl24_169 ),
inference(forward_demodulation,[],[f102,f1096]) ).
fof(f1096,plain,
( e1 = unit
| ~ spl24_169 ),
inference(avatar_component_clause,[],[f1094]) ).
fof(f1785,plain,
( ~ spl24_167
| ~ spl24_16 ),
inference(avatar_split_clause,[],[f1784,f408,f1084]) ).
fof(f408,plain,
( spl24_16
<=> e4 = op(e3,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl24_16])]) ).
fof(f1784,plain,
( e4 != op(e4,e0)
| ~ spl24_16 ),
inference(forward_demodulation,[],[f246,f410]) ).
fof(f410,plain,
( e4 = op(e3,e0)
| ~ spl24_16 ),
inference(avatar_component_clause,[],[f408]) ).
fof(f1754,plain,
( ~ spl24_155
| ~ spl24_72 ),
inference(avatar_split_clause,[],[f1753,f649,f1024]) ).
fof(f649,plain,
( spl24_72
<=> e2 = op(e1,e4) ),
introduced(avatar_definition,[new_symbols(naming,[spl24_72])]) ).
fof(f1753,plain,
( e2 != op(e4,e4)
| ~ spl24_72 ),
inference(forward_demodulation,[],[f207,f651]) ).
fof(f651,plain,
( e2 = op(e1,e4)
| ~ spl24_72 ),
inference(avatar_component_clause,[],[f649]) ).
fof(f207,plain,
op(e1,e4) != op(e4,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f1729,plain,
( ~ spl24_26
| ~ spl24_25 ),
inference(avatar_split_clause,[],[f1728,f446,f450]) ).
fof(f450,plain,
( spl24_26
<=> e2 = op(e1,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl24_26])]) ).
fof(f1728,plain,
( e2 != op(e1,e0)
| ~ spl24_25 ),
inference(forward_demodulation,[],[f217,f448]) ).
fof(f217,plain,
op(e1,e0) != op(e2,e0),
inference(cnf_transformation,[],[f4]) ).
fof(f1672,plain,
( ~ spl24_150
| ~ spl24_71 ),
inference(avatar_split_clause,[],[f1671,f644,f1000]) ).
fof(f644,plain,
( spl24_71
<=> e0 = op(e4,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl24_71])]) ).
fof(f1671,plain,
( e0 != op(e2,e1)
| ~ spl24_71 ),
inference(forward_demodulation,[],[f191,f646]) ).
fof(f646,plain,
( e0 = op(e4,e1)
| ~ spl24_71 ),
inference(avatar_component_clause,[],[f644]) ).
fof(f191,plain,
op(e2,e1) != op(e4,e1),
inference(cnf_transformation,[],[f4]) ).
fof(f1667,plain,
( ~ spl24_52
| ~ spl24_74 ),
inference(avatar_contradiction_clause,[],[f1666]) ).
fof(f1666,plain,
( $false
| ~ spl24_52
| ~ spl24_74 ),
inference(subsumption_resolution,[],[f1665,f87]) ).
fof(f1665,plain,
( e3 = e4
| ~ spl24_52
| ~ spl24_74 ),
inference(forward_demodulation,[],[f660,f563]) ).
fof(f660,plain,
( e4 = op(e0,e3)
| ~ spl24_74 ),
inference(avatar_component_clause,[],[f658]) ).
fof(f658,plain,
( spl24_74
<=> e4 = op(e0,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl24_74])]) ).
fof(f1616,plain,
( ~ spl24_14
| ~ spl24_42 ),
inference(avatar_contradiction_clause,[],[f1615]) ).
fof(f1615,plain,
( $false
| ~ spl24_14
| ~ spl24_42 ),
inference(subsumption_resolution,[],[f1614,f92]) ).
fof(f1614,plain,
( e1 = e4
| ~ spl24_14
| ~ spl24_42 ),
inference(forward_demodulation,[],[f402,f521]) ).
fof(f521,plain,
( e1 = op(e3,e3)
| ~ spl24_42 ),
inference(avatar_component_clause,[],[f519]) ).
fof(f519,plain,
( spl24_42
<=> e1 = op(e3,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl24_42])]) ).
fof(f402,plain,
( e4 = op(e3,e3)
| ~ spl24_14 ),
inference(avatar_component_clause,[],[f400]) ).
fof(f400,plain,
( spl24_14
<=> e4 = op(e3,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl24_14])]) ).
fof(f1583,plain,
( ~ spl24_51
| ~ spl24_52 ),
inference(avatar_split_clause,[],[f1582,f561,f557]) ).
fof(f557,plain,
( spl24_51
<=> e3 = op(e4,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl24_51])]) ).
fof(f1582,plain,
( e3 != op(e4,e3)
| ~ spl24_52 ),
inference(backward_demodulation,[],[f174,f563]) ).
fof(f174,plain,
op(e0,e3) != op(e4,e3),
inference(cnf_transformation,[],[f4]) ).
fof(f1573,plain,
( ~ spl24_47
| ~ spl24_49 ),
inference(avatar_contradiction_clause,[],[f1572]) ).
fof(f1572,plain,
( $false
| ~ spl24_47
| ~ spl24_49 ),
inference(subsumption_resolution,[],[f1571,f91]) ).
fof(f91,plain,
e0 != e4,
inference(cnf_transformation,[],[f5]) ).
fof(f1571,plain,
( e0 = e4
| ~ spl24_47
| ~ spl24_49 ),
inference(forward_demodulation,[],[f542,f550]) ).
fof(f550,plain,
( e0 = op(e1,e1)
| ~ spl24_49 ),
inference(avatar_component_clause,[],[f548]) ).
fof(f548,plain,
( spl24_49
<=> e0 = op(e1,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl24_49])]) ).
fof(f1569,plain,
( ~ spl24_134
| ~ spl24_25 ),
inference(avatar_split_clause,[],[f1566,f446,f923]) ).
fof(f923,plain,
( spl24_134
<=> e2 = op(e2,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl24_134])]) ).
fof(f1566,plain,
( e2 != op(e2,e1)
| ~ spl24_25 ),
inference(backward_demodulation,[],[f224,f448]) ).
fof(f224,plain,
op(e2,e0) != op(e2,e1),
inference(cnf_transformation,[],[f4]) ).
fof(f1555,plain,
( ~ spl24_3
| ~ spl24_2 ),
inference(avatar_split_clause,[],[f1548,f349,f353]) ).
fof(f1548,plain,
( e3 != op(e3,e2)
| ~ spl24_2 ),
inference(backward_demodulation,[],[f164,f351]) ).
fof(f164,plain,
op(e2,e2) != op(e3,e2),
inference(cnf_transformation,[],[f4]) ).
fof(f1554,plain,
( ~ spl24_5
| ~ spl24_2 ),
inference(avatar_split_clause,[],[f1550,f349,f361]) ).
fof(f361,plain,
( spl24_5
<=> e3 = op(e4,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl24_5])]) ).
fof(f1550,plain,
( e3 != op(e4,e2)
| ~ spl24_2 ),
inference(backward_demodulation,[],[f197,f351]) ).
fof(f197,plain,
op(e2,e2) != op(e4,e2),
inference(cnf_transformation,[],[f4]) ).
fof(f1552,plain,
( ~ spl24_149
| ~ spl24_2 ),
inference(avatar_split_clause,[],[f1551,f349,f996]) ).
fof(f996,plain,
( spl24_149
<=> e3 = op(e2,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl24_149])]) ).
fof(f1551,plain,
( e3 != op(e2,e1)
| ~ spl24_2 ),
inference(backward_demodulation,[],[f200,f351]) ).
fof(f200,plain,
op(e2,e1) != op(e2,e2),
inference(cnf_transformation,[],[f4]) ).
fof(f1547,plain,
( ~ spl24_46
| ~ spl24_42 ),
inference(avatar_split_clause,[],[f1538,f519,f535]) ).
fof(f535,plain,
( spl24_46
<=> e1 = op(e3,e4) ),
introduced(avatar_definition,[new_symbols(naming,[spl24_46])]) ).
fof(f1538,plain,
( e1 != op(e3,e4)
| ~ spl24_42 ),
inference(backward_demodulation,[],[f203,f521]) ).
fof(f203,plain,
op(e3,e3) != op(e3,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f1521,plain,
( ~ spl24_132
| ~ spl24_38 ),
inference(avatar_split_clause,[],[f1520,f502,f914]) ).
fof(f502,plain,
( spl24_38
<=> e0 = op(e0,e4) ),
introduced(avatar_definition,[new_symbols(naming,[spl24_38])]) ).
fof(f1520,plain,
( e0 != op(e0,e0)
| ~ spl24_38 ),
inference(backward_demodulation,[],[f244,f504]) ).
fof(f504,plain,
( e0 = op(e0,e4)
| ~ spl24_38 ),
inference(avatar_component_clause,[],[f502]) ).
fof(f244,plain,
op(e0,e0) != op(e0,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f1517,plain,
( ~ spl24_126
| ~ spl24_125 ),
inference(avatar_split_clause,[],[f1510,f881,f885]) ).
fof(f885,plain,
( spl24_126
<=> e1 = op(e2,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl24_126])]) ).
fof(f1510,plain,
( e1 != op(e2,e1)
| ~ spl24_125 ),
inference(backward_demodulation,[],[f216,f883]) ).
fof(f216,plain,
op(e0,e1) != op(e2,e1),
inference(cnf_transformation,[],[f4]) ).
fof(f1516,plain,
( ~ spl24_191
| ~ spl24_125 ),
inference(avatar_split_clause,[],[f1508,f881,f1214]) ).
fof(f1214,plain,
( spl24_191
<=> e1 = op(e0,e4) ),
introduced(avatar_definition,[new_symbols(naming,[spl24_191])]) ).
fof(f1508,plain,
( e1 != op(e0,e4)
| ~ spl24_125 ),
inference(backward_demodulation,[],[f160,f883]) ).
fof(f160,plain,
op(e0,e1) != op(e0,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f1487,plain,
( ~ spl24_18
| ~ spl24_19 ),
inference(avatar_split_clause,[],[f1484,f421,f417]) ).
fof(f417,plain,
( spl24_18
<=> e2 = op(e2,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl24_18])]) ).
fof(f1484,plain,
( e2 != op(e2,e2)
| ~ spl24_19 ),
inference(backward_demodulation,[],[f251,f423]) ).
fof(f251,plain,
op(e0,e2) != op(e2,e2),
inference(cnf_transformation,[],[f4]) ).
fof(f1486,plain,
( ~ spl24_20
| ~ spl24_19 ),
inference(avatar_split_clause,[],[f1482,f421,f425]) ).
fof(f425,plain,
( spl24_20
<=> e2 = op(e3,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl24_20])]) ).
fof(f1482,plain,
( e2 != op(e3,e2)
| ~ spl24_19 ),
inference(backward_demodulation,[],[f195,f423]) ).
fof(f195,plain,
op(e0,e2) != op(e3,e2),
inference(cnf_transformation,[],[f4]) ).
fof(f1465,plain,
( spl24_8
| ~ spl24_168 ),
inference(avatar_split_clause,[],[f1459,f1090,f374]) ).
fof(f1090,plain,
( spl24_168
<=> e4 = unit ),
introduced(avatar_definition,[new_symbols(naming,[spl24_168])]) ).
fof(f1459,plain,
( e2 = op(e2,e4)
| ~ spl24_168 ),
inference(backward_demodulation,[],[f99,f1092]) ).
fof(f1092,plain,
( e4 = unit
| ~ spl24_168 ),
inference(avatar_component_clause,[],[f1090]) ).
fof(f1409,plain,
( spl24_18
| ~ spl24_50 ),
inference(avatar_split_clause,[],[f1403,f552,f417]) ).
fof(f552,plain,
( spl24_50
<=> e2 = op(e1,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl24_50])]) ).
fof(f1403,plain,
( e2 = op(e2,e2)
| ~ spl24_50 ),
inference(backward_demodulation,[],[f108,f554]) ).
fof(f554,plain,
( e2 = op(e1,e1)
| ~ spl24_50 ),
inference(avatar_component_clause,[],[f552]) ).
fof(f1356,plain,
( ~ spl24_173
| ~ spl24_147 ),
inference(avatar_split_clause,[],[f1346,f986,f1114]) ).
fof(f1114,plain,
( spl24_173
<=> e0 = op(e3,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl24_173])]) ).
fof(f1346,plain,
( e0 != op(e3,e2)
| ~ spl24_147 ),
inference(backward_demodulation,[],[f236,f988]) ).
fof(f236,plain,
op(e1,e2) != op(e3,e2),
inference(cnf_transformation,[],[f4]) ).
fof(f1354,plain,
( ~ spl24_139
| ~ spl24_147 ),
inference(avatar_split_clause,[],[f1342,f986,f946]) ).
fof(f1342,plain,
( e0 != op(e2,e2)
| ~ spl24_147 ),
inference(backward_demodulation,[],[f187,f988]) ).
fof(f187,plain,
op(e1,e2) != op(e2,e2),
inference(cnf_transformation,[],[f4]) ).
fof(f1350,plain,
( ~ spl24_105
| ~ spl24_147 ),
inference(avatar_split_clause,[],[f1345,f986,f787]) ).
fof(f787,plain,
( spl24_105
<=> e0 = op(e4,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl24_105])]) ).
fof(f1345,plain,
( e0 != op(e4,e2)
| ~ spl24_147 ),
inference(backward_demodulation,[],[f229,f988]) ).
fof(f229,plain,
op(e1,e2) != op(e4,e2),
inference(cnf_transformation,[],[f4]) ).
fof(f1335,plain,
( spl24_23
| spl24_20
| spl24_130
| spl24_136
| spl24_156 ),
inference(avatar_split_clause,[],[f151,f1028,f931,f905,f425,f438]) ).
fof(f151,plain,
( e2 = op(e3,e4)
| e2 = op(e3,e1)
| e2 = op(e3,e3)
| e2 = op(e3,e2)
| e2 = op(e3,e0) ),
inference(cnf_transformation,[],[f3]) ).
fof(f3,axiom,
( ( e3 = op(e0,e2)
| e3 = op(e2,e2)
| e3 = op(e1,e2)
| e3 = op(e4,e2)
| e3 = op(e3,e2) )
& ( e4 = op(e4,e3)
| e4 = op(e1,e3)
| e4 = op(e3,e3)
| e4 = op(e0,e3)
| e4 = op(e2,e3) )
& ( e2 = op(e0,e3)
| e2 = op(e1,e3)
| e2 = op(e4,e3)
| e2 = op(e2,e3)
| e2 = op(e3,e3) )
& ( e0 = op(e2,e2)
| e0 = op(e2,e4)
| e0 = op(e2,e1)
| e0 = op(e2,e3)
| e0 = op(e2,e0) )
& ( e1 = op(e4,e0)
| op(e0,e0) = e1
| e1 = op(e3,e0)
| e1 = op(e2,e0)
| e1 = op(e1,e0) )
& ( e3 = op(e4,e3)
| e3 = op(e2,e3)
| e3 = op(e1,e3)
| e3 = op(e3,e3)
| e3 = op(e0,e3) )
& ( e1 = op(e3,e2)
| e1 = op(e4,e2)
| e1 = op(e1,e2)
| e1 = op(e0,e2)
| e1 = op(e2,e2) )
& ( e2 = op(e3,e2)
| e2 = op(e3,e3)
| e2 = op(e3,e1)
| e2 = op(e3,e4)
| e2 = op(e3,e0) )
& ( e0 = op(e3,e4)
| e0 = op(e4,e4)
| e0 = op(e0,e4)
| e0 = op(e2,e4)
| e0 = op(e1,e4) )
& ( e0 = op(e4,e4)
| e0 = op(e4,e1)
| e0 = op(e4,e3)
| e0 = op(e4,e2)
| e0 = op(e4,e0) )
& ( e4 = op(e2,e2)
| e4 = op(e1,e2)
| e4 = op(e3,e2)
| e4 = op(e0,e2)
| e4 = op(e4,e2) )
& ( e3 = op(e1,e4)
| e3 = op(e1,e2)
| e3 = op(e1,e1)
| e3 = op(e1,e0)
| e3 = op(e1,e3) )
& ( e2 = op(e0,e1)
| e2 = op(e1,e1)
| e2 = op(e2,e1)
| e2 = op(e4,e1)
| e2 = op(e3,e1) )
& ( e0 = op(e2,e0)
| e0 = op(e1,e0)
| e0 = op(e3,e0)
| e0 = op(e0,e0)
| e0 = op(e4,e0) )
& ( op(e0,e0) = e3
| e3 = op(e0,e4)
| e3 = op(e0,e1)
| e3 = op(e0,e2)
| e3 = op(e0,e3) )
& ( e3 = op(e3,e1)
| e3 = op(e0,e1)
| e3 = op(e2,e1)
| e3 = op(e1,e1)
| e3 = op(e4,e1) )
& ( e2 = op(e2,e0)
| e2 = op(e2,e3)
| e2 = op(e2,e1)
| e2 = op(e2,e2)
| e2 = op(e2,e4) )
& ( e4 = op(e0,e1)
| op(e0,e0) = e4
| e4 = op(e0,e3)
| e4 = op(e0,e2)
| e4 = op(e0,e4) )
& ( e0 = op(e0,e4)
| e0 = op(e0,e2)
| e0 = op(e0,e1)
| e0 = op(e0,e3)
| e0 = op(e0,e0) )
& ( e0 = op(e1,e1)
| e0 = op(e1,e2)
| e0 = op(e1,e4)
| e0 = op(e1,e0)
| e0 = op(e1,e3) )
& ( e2 = op(e2,e0)
| e2 = op(e1,e0)
| op(e0,e0) = e2
| e2 = op(e4,e0)
| e2 = op(e3,e0) )
& ( e4 = op(e4,e1)
| e4 = op(e4,e2)
| e4 = op(e4,e3)
| e4 = op(e4,e0)
| e4 = op(e4,e4) )
& ( e3 = op(e4,e3)
| e3 = op(e4,e0)
| e3 = op(e4,e1)
| e3 = op(e4,e2)
| e3 = op(e4,e4) )
& ( e3 = op(e1,e4)
| e3 = op(e0,e4)
| e3 = op(e2,e4)
| e3 = op(e4,e4)
| e3 = op(e3,e4) )
& ( e2 = op(e0,e2)
| e2 = op(e0,e4)
| e2 = op(e0,e3)
| e2 = op(e0,e1)
| op(e0,e0) = e2 )
& ( e0 = op(e1,e2)
| e0 = op(e0,e2)
| e0 = op(e2,e2)
| e0 = op(e4,e2)
| e0 = op(e3,e2) )
& ( e1 = op(e2,e1)
| e1 = op(e2,e3)
| e1 = op(e2,e4)
| e1 = op(e2,e0)
| e1 = op(e2,e2) )
& ( e4 = op(e3,e1)
| e4 = op(e4,e1)
| e4 = op(e2,e1)
| e4 = op(e0,e1)
| e4 = op(e1,e1) )
& ( e1 = op(e2,e1)
| e1 = op(e3,e1)
| e1 = op(e0,e1)
| e1 = op(e4,e1)
| e1 = op(e1,e1) )
& ( e4 = op(e3,e1)
| e4 = op(e3,e4)
| e4 = op(e3,e0)
| e4 = op(e3,e2)
| e4 = op(e3,e3) )
& ( e1 = op(e1,e2)
| e1 = op(e1,e1)
| e1 = op(e1,e3)
| e1 = op(e1,e0)
| e1 = op(e1,e4) )
& ( e3 = op(e2,e3)
| e3 = op(e2,e4)
| e3 = op(e2,e0)
| e3 = op(e2,e2)
| e3 = op(e2,e1) )
& ( e2 = op(e4,e2)
| e2 = op(e4,e1)
| e2 = op(e4,e0)
| e2 = op(e4,e4)
| e2 = op(e4,e3) )
& ( e0 = op(e3,e2)
| e0 = op(e3,e0)
| e0 = op(e3,e3)
| e0 = op(e3,e4)
| e0 = op(e3,e1) )
& ( e2 = op(e2,e4)
| e2 = op(e3,e4)
| e2 = op(e1,e4)
| e2 = op(e4,e4)
| e2 = op(e0,e4) )
& ( e1 = op(e0,e3)
| e1 = op(e1,e3)
| e1 = op(e3,e3)
| e1 = op(e4,e3)
| e1 = op(e2,e3) )
& ( e1 = op(e0,e4)
| e1 = op(e3,e4)
| e1 = op(e4,e4)
| e1 = op(e1,e4)
| e1 = op(e2,e4) )
& ( e2 = op(e2,e2)
| e2 = op(e0,e2)
| e2 = op(e3,e2)
| e2 = op(e4,e2)
| e2 = op(e1,e2) )
& ( e1 = op(e4,e2)
| e1 = op(e4,e3)
| e1 = op(e4,e1)
| e1 = op(e4,e0)
| e1 = op(e4,e4) )
& ( e0 = op(e3,e1)
| e0 = op(e4,e1)
| e0 = op(e2,e1)
| e0 = op(e1,e1)
| e0 = op(e0,e1) )
& ( e0 = op(e0,e3)
| e0 = op(e3,e3)
| e0 = op(e1,e3)
| e0 = op(e2,e3)
| e0 = op(e4,e3) )
& ( e4 = op(e1,e3)
| e4 = op(e1,e4)
| e4 = op(e1,e2)
| e4 = op(e1,e1)
| e4 = op(e1,e0) )
& ( e1 = op(e0,e3)
| e1 = op(e0,e2)
| op(e0,e0) = e1
| e1 = op(e0,e1)
| e1 = op(e0,e4) )
& ( e3 = op(e3,e0)
| e3 = op(e2,e0)
| e3 = op(e4,e0)
| op(e0,e0) = e3
| e3 = op(e1,e0) )
& ( e4 = op(e2,e1)
| e4 = op(e2,e2)
| e4 = op(e2,e4)
| e4 = op(e2,e0)
| e4 = op(e2,e3) )
& ( e1 = op(e3,e4)
| e1 = op(e3,e1)
| e1 = op(e3,e2)
| e1 = op(e3,e3)
| e1 = op(e3,e0) )
& ( e4 = op(e1,e4)
| e4 = op(e4,e4)
| e4 = op(e0,e4)
| e4 = op(e3,e4)
| e4 = op(e2,e4) )
& ( e4 = op(e1,e0)
| e4 = op(e4,e0)
| e4 = op(e2,e0)
| e4 = op(e3,e0)
| op(e0,e0) = e4 )
& ( e3 = op(e3,e3)
| e3 = op(e3,e4)
| e3 = op(e3,e2)
| e3 = op(e3,e0)
| e3 = op(e3,e1) )
& ( e2 = op(e1,e2)
| e2 = op(e1,e4)
| e2 = op(e1,e3)
| e2 = op(e1,e0)
| e2 = op(e1,e1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax3) ).
fof(f1329,plain,
( ~ spl24_103
| spl24_207 ),
inference(avatar_split_clause,[],[f327,f1326,f778]) ).
fof(f778,plain,
( spl24_103
<=> sP1 ),
introduced(avatar_definition,[new_symbols(naming,[spl24_103])]) ).
fof(f327,plain,
( e0 = op(op(e0,e3),e3)
| ~ sP1 ),
inference(cnf_transformation,[],[f57]) ).
fof(f57,plain,
( ( e0 = op(op(e0,e3),e3)
& e3 != op(op(e0,e3),e0)
& op(e0,e3) != op(e3,e0) )
| ~ sP1 ),
inference(nnf_transformation,[],[f11]) ).
fof(f11,plain,
( ( e0 = op(op(e0,e3),e3)
& e3 != op(op(e0,e3),e0)
& op(e0,e3) != op(e3,e0) )
| ~ sP1 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])]) ).
fof(f1316,plain,
( ~ spl24_57
| ~ spl24_93 ),
inference(avatar_split_clause,[],[f265,f738,f582]) ).
fof(f738,plain,
( spl24_93
<=> sP21 ),
introduced(avatar_definition,[new_symbols(naming,[spl24_93])]) ).
fof(f265,plain,
( ~ sP21
| op(e0,e2) != op(e2,e0) ),
inference(cnf_transformation,[],[f37]) ).
fof(f37,plain,
( ( e0 != op(op(e2,e0),e2)
& e2 = op(op(e2,e0),e0)
& op(e0,e2) != op(e2,e0) )
| ~ sP21 ),
inference(nnf_transformation,[],[f31]) ).
fof(f31,plain,
( ( e0 != op(op(e2,e0),e2)
& e2 = op(op(e2,e0),e0)
& op(e0,e2) != op(e2,e0) )
| ~ sP21 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP21])]) ).
fof(f1291,plain,
spl24_47,
inference(avatar_split_clause,[],[f106,f540]) ).
fof(f106,plain,
e4 = op(e1,e1),
inference(cnf_transformation,[],[f6]) ).
fof(f1268,plain,
( ~ spl24_98
| spl24_199 ),
inference(avatar_split_clause,[],[f282,f1265,f758]) ).
fof(f758,plain,
( spl24_98
<=> sP16 ),
introduced(avatar_definition,[new_symbols(naming,[spl24_98])]) ).
fof(f282,plain,
( e3 = op(op(e3,e1),e1)
| ~ sP16 ),
inference(cnf_transformation,[],[f42]) ).
fof(f42,plain,
( ( e3 = op(op(e3,e1),e1)
& op(e1,e3) != op(e3,e1)
& e1 != op(op(e3,e1),e3) )
| ~ sP16 ),
inference(nnf_transformation,[],[f26]) ).
fof(f26,plain,
( ( e3 = op(op(e3,e1),e1)
& op(e1,e3) != op(e3,e1)
& e1 != op(op(e3,e1),e3) )
| ~ sP16 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP16])]) ).
fof(f1257,plain,
~ spl24_97,
inference(avatar_split_clause,[],[f339,f754]) ).
fof(f754,plain,
( spl24_97
<=> sP5 ),
introduced(avatar_definition,[new_symbols(naming,[spl24_97])]) ).
fof(f339,plain,
~ sP5,
inference(trivial_inequality_removal,[],[f315]) ).
fof(f315,plain,
( ~ sP5
| op(e3,e3) != op(e3,e3) ),
inference(cnf_transformation,[],[f53]) ).
fof(f53,plain,
( ( op(e3,e3) != op(e3,e3)
& e3 != op(op(e3,e3),e3)
& e3 = op(op(e3,e3),e3) )
| ~ sP5 ),
inference(nnf_transformation,[],[f15]) ).
fof(f15,plain,
( ( op(e3,e3) != op(e3,e3)
& e3 != op(op(e3,e3),e3)
& e3 = op(op(e3,e3),e3) )
| ~ sP5 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP5])]) ).
fof(f1256,plain,
( spl24_197
| ~ spl24_90 ),
inference(avatar_split_clause,[],[f261,f726,f1253]) ).
fof(f726,plain,
( spl24_90
<=> sP23 ),
introduced(avatar_definition,[new_symbols(naming,[spl24_90])]) ).
fof(f261,plain,
( ~ sP23
| e0 = op(op(e0,e4),e4) ),
inference(cnf_transformation,[],[f35]) ).
fof(f35,plain,
( ( e0 = op(op(e0,e4),e4)
& e4 != op(op(e0,e4),e0)
& op(e0,e4) != op(e4,e0) )
| ~ sP23 ),
inference(nnf_transformation,[],[f33]) ).
fof(f33,plain,
( ( e0 = op(op(e0,e4),e4)
& e4 != op(op(e0,e4),e0)
& op(e0,e4) != op(e4,e0) )
| ~ sP23 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP23])]) ).
fof(f1251,plain,
( spl24_29
| spl24_38
| spl24_191
| spl24_157
| spl24_175 ),
inference(avatar_split_clause,[],[f75,f1123,f1032,f1214,f502,f463]) ).
fof(f75,plain,
( e3 = op(e0,e4)
| e2 = op(e0,e4)
| e1 = op(e0,e4)
| e0 = op(e0,e4)
| e4 = op(e0,e4) ),
inference(cnf_transformation,[],[f1]) ).
fof(f1,axiom,
( ( e1 = op(e3,e3)
| e4 = op(e3,e3)
| e0 = op(e3,e3)
| e3 = op(e3,e3)
| e2 = op(e3,e3) )
& ( e3 = op(e3,e0)
| e4 = op(e3,e0)
| e0 = op(e3,e0)
| e1 = op(e3,e0)
| e2 = op(e3,e0) )
& ( e0 = op(e1,e2)
| e1 = op(e1,e2)
| e2 = op(e1,e2)
| e4 = op(e1,e2)
| e3 = op(e1,e2) )
& ( e2 = op(e3,e1)
| e3 = op(e3,e1)
| e1 = op(e3,e1)
| e4 = op(e3,e1)
| e0 = op(e3,e1) )
& ( e3 = op(e0,e3)
| e4 = op(e0,e3)
| e1 = op(e0,e3)
| e0 = op(e0,e3)
| e2 = op(e0,e3) )
& ( e4 = op(e4,e2)
| e3 = op(e4,e2)
| e1 = op(e4,e2)
| e2 = op(e4,e2)
| e0 = op(e4,e2) )
& ( e1 = op(e1,e3)
| e2 = op(e1,e3)
| e0 = op(e1,e3)
| e4 = op(e1,e3)
| e3 = op(e1,e3) )
& ( e4 = op(e0,e1)
| e0 = op(e0,e1)
| e2 = op(e0,e1)
| e1 = op(e0,e1)
| e3 = op(e0,e1) )
& ( e3 = op(e0,e4)
| e0 = op(e0,e4)
| e2 = op(e0,e4)
| e4 = op(e0,e4)
| e1 = op(e0,e4) )
& ( e0 = op(e1,e4)
| e3 = op(e1,e4)
| e1 = op(e1,e4)
| e2 = op(e1,e4)
| e4 = op(e1,e4) )
& ( e4 = op(e2,e0)
| e1 = op(e2,e0)
| e3 = op(e2,e0)
| e0 = op(e2,e0)
| e2 = op(e2,e0) )
& ( e0 = op(e0,e2)
| e2 = op(e0,e2)
| e4 = op(e0,e2)
| e3 = op(e0,e2)
| e1 = op(e0,e2) )
& ( e0 = op(e4,e4)
| e3 = op(e4,e4)
| e4 = op(e4,e4)
| e2 = op(e4,e4)
| e1 = op(e4,e4) )
& ( e0 = op(e2,e2)
| e4 = op(e2,e2)
| e3 = op(e2,e2)
| e2 = op(e2,e2)
| e1 = op(e2,e2) )
& ( e0 = op(e3,e2)
| e3 = op(e3,e2)
| e2 = op(e3,e2)
| e1 = op(e3,e2)
| e4 = op(e3,e2) )
& ( e4 = op(e2,e1)
| e2 = op(e2,e1)
| e1 = op(e2,e1)
| e0 = op(e2,e1)
| e3 = op(e2,e1) )
& ( e1 = op(e3,e4)
| e3 = op(e3,e4)
| e0 = op(e3,e4)
| e4 = op(e3,e4)
| e2 = op(e3,e4) )
& ( e1 = op(e4,e1)
| e4 = op(e4,e1)
| e3 = op(e4,e1)
| e0 = op(e4,e1)
| e2 = op(e4,e1) )
& ( op(e0,e0) = e3
| op(e0,e0) = e2
| e0 = op(e0,e0)
| op(e0,e0) = e1
| op(e0,e0) = e4 )
& ( e3 = op(e2,e4)
| e4 = op(e2,e4)
| e2 = op(e2,e4)
| e1 = op(e2,e4)
| e0 = op(e2,e4) )
& ( e2 = op(e4,e3)
| e0 = op(e4,e3)
| e3 = op(e4,e3)
| e1 = op(e4,e3)
| e4 = op(e4,e3) )
& ( e3 = op(e1,e1)
| e0 = op(e1,e1)
| e4 = op(e1,e1)
| e1 = op(e1,e1)
| e2 = op(e1,e1) )
& ( e0 = op(e4,e0)
| e3 = op(e4,e0)
| e1 = op(e4,e0)
| e2 = op(e4,e0)
| e4 = op(e4,e0) )
& ( e3 = op(e2,e3)
| e4 = op(e2,e3)
| e0 = op(e2,e3)
| e2 = op(e2,e3)
| e1 = op(e2,e3) )
& ( e4 = op(e1,e0)
| e0 = op(e1,e0)
| e2 = op(e1,e0)
| e1 = op(e1,e0)
| e3 = op(e1,e0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax1) ).
fof(f1250,plain,
( ~ spl24_12
| ~ spl24_187 ),
inference(avatar_split_clause,[],[f305,f1185,f391]) ).
fof(f391,plain,
( spl24_12
<=> sP8 ),
introduced(avatar_definition,[new_symbols(naming,[spl24_12])]) ).
fof(f305,plain,
( op(e0,e1) != op(e1,e0)
| ~ sP8 ),
inference(cnf_transformation,[],[f50]) ).
fof(f50,plain,
( ( e0 = op(op(e0,e1),e1)
& op(e0,e1) != op(e1,e0)
& e1 != op(op(e0,e1),e0) )
| ~ sP8 ),
inference(nnf_transformation,[],[f18]) ).
fof(f18,plain,
( ( e0 = op(op(e0,e1),e1)
& op(e0,e1) != op(e1,e0)
& e1 != op(op(e0,e1),e0) )
| ~ sP8 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP8])]) ).
fof(f1248,plain,
( spl24_39
| spl24_173
| spl24_120
| spl24_144
| spl24_79 ),
inference(avatar_split_clause,[],[f125,f679,f972,f857,f1114,f506]) ).
fof(f125,plain,
( e0 = op(e3,e3)
| e0 = op(e3,e1)
| e0 = op(e3,e0)
| e0 = op(e3,e2)
| e0 = op(e3,e4) ),
inference(cnf_transformation,[],[f3]) ).
fof(f1247,plain,
( ~ spl24_141
| ~ spl24_31 ),
inference(avatar_split_clause,[],[f293,f472,f955]) ).
fof(f472,plain,
( spl24_31
<=> sP12 ),
introduced(avatar_definition,[new_symbols(naming,[spl24_31])]) ).
fof(f293,plain,
( ~ sP12
| op(e0,e3) != op(e3,e0) ),
inference(cnf_transformation,[],[f46]) ).
fof(f46,plain,
( ( e3 = op(op(e3,e0),e0)
& op(e0,e3) != op(e3,e0)
& e0 != op(op(e3,e0),e3) )
| ~ sP12 ),
inference(nnf_transformation,[],[f22]) ).
fof(f22,plain,
( ( e3 = op(op(e3,e0),e0)
& op(e0,e3) != op(e3,e0)
& e0 != op(op(e3,e0),e3) )
| ~ sP12 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP12])]) ).
fof(f1246,plain,
( ~ spl24_101
| spl24_196 ),
inference(avatar_split_clause,[],[f318,f1243,f770]) ).
fof(f770,plain,
( spl24_101
<=> sP4 ),
introduced(avatar_definition,[new_symbols(naming,[spl24_101])]) ).
fof(f318,plain,
( e3 = op(op(e3,e2),e2)
| ~ sP4 ),
inference(cnf_transformation,[],[f54]) ).
fof(f54,plain,
( ( e3 = op(op(e3,e2),e2)
& e2 != op(op(e3,e2),e3)
& op(e2,e3) != op(e3,e2) )
| ~ sP4 ),
inference(nnf_transformation,[],[f14]) ).
fof(f14,plain,
( ( e3 = op(op(e3,e2),e2)
& e2 != op(op(e3,e2),e3)
& op(e2,e3) != op(e3,e2) )
| ~ sP4 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP4])]) ).
fof(f1231,plain,
( spl24_127
| spl24_9
| spl24_73
| spl24_175
| spl24_193 ),
inference(avatar_split_clause,[],[f135,f1228,f1123,f653,f378,f890]) ).
fof(f135,plain,
( e3 = op(e3,e4)
| e3 = op(e0,e4)
| e3 = op(e1,e4)
| e3 = op(e2,e4)
| e3 = op(e4,e4) ),
inference(cnf_transformation,[],[f3]) ).
fof(f1225,plain,
spl24_2,
inference(avatar_split_clause,[],[f1224,f349]) ).
fof(f1224,plain,
e3 = op(e2,e2),
inference(forward_demodulation,[],[f107,f108]) ).
fof(f107,plain,
e3 = op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1))),
inference(cnf_transformation,[],[f6]) ).
fof(f1217,plain,
( spl24_46
| spl24_188
| spl24_6
| spl24_191
| spl24_36 ),
inference(avatar_split_clause,[],[f122,f493,f1214,f366,f1190,f535]) ).
fof(f122,plain,
( e1 = op(e1,e4)
| e1 = op(e0,e4)
| e1 = op(e2,e4)
| e1 = op(e4,e4)
| e1 = op(e3,e4) ),
inference(cnf_transformation,[],[f3]) ).
fof(f1194,plain,
( spl24_104
| spl24_60
| spl24_95
| spl24_92
| spl24_56
| spl24_89
| spl24_97
| spl24_93
| spl24_103
| spl24_90
| spl24_87
| spl24_100
| spl24_98
| spl24_12
| spl24_86
| spl24_99
| spl24_102
| spl24_101
| spl24_84
| spl24_88
| spl24_58
| spl24_31
| spl24_96
| spl24_91 ),
inference(avatar_split_clause,[],[f340,f730,f750,f472,f587,f718,f701,f770,f774,f762,f710,f391,f758,f766,f714,f726,f778,f738,f754,f722,f578,f734,f746,f596,f782]) ).
fof(f782,plain,
( spl24_104
<=> sP0 ),
introduced(avatar_definition,[new_symbols(naming,[spl24_104])]) ).
fof(f596,plain,
( spl24_60
<=> sP9 ),
introduced(avatar_definition,[new_symbols(naming,[spl24_60])]) ).
fof(f746,plain,
( spl24_95
<=> sP2 ),
introduced(avatar_definition,[new_symbols(naming,[spl24_95])]) ).
fof(f734,plain,
( spl24_92
<=> sP11 ),
introduced(avatar_definition,[new_symbols(naming,[spl24_92])]) ).
fof(f578,plain,
( spl24_56
<=> sP3 ),
introduced(avatar_definition,[new_symbols(naming,[spl24_56])]) ).
fof(f722,plain,
( spl24_89
<=> sP10 ),
introduced(avatar_definition,[new_symbols(naming,[spl24_89])]) ).
fof(f714,plain,
( spl24_87
<=> sP7 ),
introduced(avatar_definition,[new_symbols(naming,[spl24_87])]) ).
fof(f766,plain,
( spl24_100
<=> sP19 ),
introduced(avatar_definition,[new_symbols(naming,[spl24_100])]) ).
fof(f710,plain,
( spl24_86
<=> sP20 ),
introduced(avatar_definition,[new_symbols(naming,[spl24_86])]) ).
fof(f762,plain,
( spl24_99
<=> sP18 ),
introduced(avatar_definition,[new_symbols(naming,[spl24_99])]) ).
fof(f774,plain,
( spl24_102
<=> sP13 ),
introduced(avatar_definition,[new_symbols(naming,[spl24_102])]) ).
fof(f701,plain,
( spl24_84
<=> sP6 ),
introduced(avatar_definition,[new_symbols(naming,[spl24_84])]) ).
fof(f718,plain,
( spl24_88
<=> sP15 ),
introduced(avatar_definition,[new_symbols(naming,[spl24_88])]) ).
fof(f587,plain,
( spl24_58
<=> sP14 ),
introduced(avatar_definition,[new_symbols(naming,[spl24_58])]) ).
fof(f750,plain,
( spl24_96
<=> sP17 ),
introduced(avatar_definition,[new_symbols(naming,[spl24_96])]) ).
fof(f730,plain,
( spl24_91
<=> sP22 ),
introduced(avatar_definition,[new_symbols(naming,[spl24_91])]) ).
fof(f340,plain,
( sP22
| sP17
| sP12
| sP14
| sP15
| sP6
| sP4
| sP13
| sP18
| sP20
| sP8
| sP16
| sP19
| sP7
| sP23
| sP1
| sP21
| sP5
| sP10
| sP3
| sP11
| sP2
| sP9
| sP0 ),
inference(trivial_inequality_removal,[],[f336]) ).
fof(f336,plain,
( sP22
| sP7
| sP8
| sP18
| sP23
| sP21
| sP10
| op(e4,e4) != op(e4,e4)
| sP0
| sP5
| sP20
| sP19
| sP1
| sP4
| sP3
| sP14
| sP6
| sP9
| sP15
| sP16
| sP2
| sP17
| sP13
| sP12
| sP11 ),
inference(cnf_transformation,[],[f34]) ).
fof(f34,plain,
( ( e3 = op(e2,e2)
| e3 = op(e3,e3)
| e3 = op(e1,e1)
| op(e0,e0) = e3
| e3 = op(e4,e4) )
& ( ( e4 = op(op(e4,e4),e4)
& op(e4,e4) != op(e4,e4)
& e4 != op(op(e4,e4),e4) )
| sP23
| sP22
| sP21
| sP20
| sP19
| sP18
| sP17
| sP16
| sP15
| sP14
| sP13
| sP12
| sP11
| sP10
| sP9
| sP8
| sP7
| sP6
| sP5
| sP4
| sP3
| sP2
| sP1
| sP0 )
& ( e0 = op(e1,e1)
| e0 = op(e3,e3)
| e0 = op(e0,e0)
| e0 = op(e4,e4)
| e0 = op(e2,e2) )
& ( e4 = op(e1,e1)
| e4 = op(e3,e3)
| e4 = op(e2,e2)
| op(e0,e0) = e4
| e4 = op(e4,e4) )
& ( e2 = op(e3,e3)
| e2 = op(e1,e1)
| e2 = op(e4,e4)
| op(e0,e0) = e2
| e2 = op(e2,e2) )
& ( e1 = op(e1,e1)
| op(e0,e0) = e1
| e1 = op(e4,e4)
| e1 = op(e2,e2)
| e1 = op(e3,e3) ) ),
inference(definition_folding,[],[f9,f33,f32,f31,f30,f29,f28,f27,f26,f25,f24,f23,f22,f21,f20,f19,f18,f17,f16,f15,f14,f13,f12,f11,f10]) ).
fof(f10,plain,
( ( e0 = op(op(e0,e0),e0)
& e0 != op(op(e0,e0),e0)
& op(e0,e0) != op(e0,e0) )
| ~ sP0 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
fof(f12,plain,
( ( op(e0,e4) != op(e4,e0)
& e0 != op(op(e4,e0),e4)
& e4 = op(op(e4,e0),e0) )
| ~ sP2 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP2])]) ).
fof(f13,plain,
( ( op(e0,e2) != op(e2,e0)
& e2 != op(op(e0,e2),e0)
& e0 = op(op(e0,e2),e2) )
| ~ sP3 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP3])]) ).
fof(f16,plain,
( ( e1 != op(op(e4,e1),e4)
& op(e1,e4) != op(e4,e1)
& e4 = op(op(e4,e1),e1) )
| ~ sP6 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP6])]) ).
fof(f17,plain,
( ( op(e1,e2) != op(e2,e1)
& e1 != op(op(e2,e1),e2)
& e2 = op(op(e2,e1),e1) )
| ~ sP7 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP7])]) ).
fof(f19,plain,
( ( op(e2,e4) != op(e4,e2)
& e2 = op(op(e2,e4),e4)
& e4 != op(op(e2,e4),e2) )
| ~ sP9 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP9])]) ).
fof(f20,plain,
( ( e2 != op(op(e4,e2),e4)
& e4 = op(op(e4,e2),e2)
& op(e2,e4) != op(e4,e2) )
| ~ sP10 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP10])]) ).
fof(f21,plain,
( ( op(e0,e1) != op(e1,e0)
& e1 = op(op(e1,e0),e0)
& e0 != op(op(e1,e0),e1) )
| ~ sP11 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP11])]) ).
fof(f23,plain,
( ( e4 != op(op(e1,e4),e1)
& e1 = op(op(e1,e4),e4)
& op(e1,e4) != op(e4,e1) )
| ~ sP13 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP13])]) ).
fof(f24,plain,
( ( op(e2,e3) != op(e3,e2)
& e2 = op(op(e2,e3),e3)
& e3 != op(op(e2,e3),e2) )
| ~ sP14 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP14])]) ).
fof(f25,plain,
( ( e4 = op(op(e4,e3),e3)
& e3 != op(op(e4,e3),e4)
& op(e3,e4) != op(e4,e3) )
| ~ sP15 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP15])]) ).
fof(f27,plain,
( ( e3 != op(op(e1,e3),e1)
& op(e1,e3) != op(e3,e1)
& e1 = op(op(e1,e3),e3) )
| ~ sP17 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP17])]) ).
fof(f28,plain,
( ( e1 = op(op(e1,e1),e1)
& op(e1,e1) != op(e1,e1)
& e1 != op(op(e1,e1),e1) )
| ~ sP18 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP18])]) ).
fof(f29,plain,
( ( e2 != op(op(e1,e2),e1)
& op(e1,e2) != op(e2,e1)
& e1 = op(op(e1,e2),e2) )
| ~ sP19 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP19])]) ).
fof(f30,plain,
( ( op(e3,e4) != op(e4,e3)
& e3 = op(op(e3,e4),e4)
& e4 != op(op(e3,e4),e3) )
| ~ sP20 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP20])]) ).
fof(f32,plain,
( ( e2 = op(op(e2,e2),e2)
& op(e2,e2) != op(e2,e2)
& e2 != op(op(e2,e2),e2) )
| ~ sP22 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP22])]) ).
fof(f9,plain,
( ( e3 = op(e2,e2)
| e3 = op(e3,e3)
| e3 = op(e1,e1)
| op(e0,e0) = e3
| e3 = op(e4,e4) )
& ( ( e4 = op(op(e4,e4),e4)
& op(e4,e4) != op(e4,e4)
& e4 != op(op(e4,e4),e4) )
| ( e0 = op(op(e0,e4),e4)
& e4 != op(op(e0,e4),e0)
& op(e0,e4) != op(e4,e0) )
| ( e2 = op(op(e2,e2),e2)
& op(e2,e2) != op(e2,e2)
& e2 != op(op(e2,e2),e2) )
| ( e0 != op(op(e2,e0),e2)
& e2 = op(op(e2,e0),e0)
& op(e0,e2) != op(e2,e0) )
| ( op(e3,e4) != op(e4,e3)
& e3 = op(op(e3,e4),e4)
& e4 != op(op(e3,e4),e3) )
| ( e2 != op(op(e1,e2),e1)
& op(e1,e2) != op(e2,e1)
& e1 = op(op(e1,e2),e2) )
| ( e1 = op(op(e1,e1),e1)
& op(e1,e1) != op(e1,e1)
& e1 != op(op(e1,e1),e1) )
| ( e3 != op(op(e1,e3),e1)
& op(e1,e3) != op(e3,e1)
& e1 = op(op(e1,e3),e3) )
| ( e3 = op(op(e3,e1),e1)
& op(e1,e3) != op(e3,e1)
& e1 != op(op(e3,e1),e3) )
| ( e4 = op(op(e4,e3),e3)
& e3 != op(op(e4,e3),e4)
& op(e3,e4) != op(e4,e3) )
| ( op(e2,e3) != op(e3,e2)
& e2 = op(op(e2,e3),e3)
& e3 != op(op(e2,e3),e2) )
| ( e4 != op(op(e1,e4),e1)
& e1 = op(op(e1,e4),e4)
& op(e1,e4) != op(e4,e1) )
| ( e3 = op(op(e3,e0),e0)
& op(e0,e3) != op(e3,e0)
& e0 != op(op(e3,e0),e3) )
| ( op(e0,e1) != op(e1,e0)
& e1 = op(op(e1,e0),e0)
& e0 != op(op(e1,e0),e1) )
| ( e2 != op(op(e4,e2),e4)
& e4 = op(op(e4,e2),e2)
& op(e2,e4) != op(e4,e2) )
| ( op(e2,e4) != op(e4,e2)
& e2 = op(op(e2,e4),e4)
& e4 != op(op(e2,e4),e2) )
| ( e0 = op(op(e0,e1),e1)
& op(e0,e1) != op(e1,e0)
& e1 != op(op(e0,e1),e0) )
| ( op(e1,e2) != op(e2,e1)
& e1 != op(op(e2,e1),e2)
& e2 = op(op(e2,e1),e1) )
| ( e1 != op(op(e4,e1),e4)
& op(e1,e4) != op(e4,e1)
& e4 = op(op(e4,e1),e1) )
| ( op(e3,e3) != op(e3,e3)
& e3 != op(op(e3,e3),e3)
& e3 = op(op(e3,e3),e3) )
| ( e3 = op(op(e3,e2),e2)
& e2 != op(op(e3,e2),e3)
& op(e2,e3) != op(e3,e2) )
| ( op(e0,e2) != op(e2,e0)
& e2 != op(op(e0,e2),e0)
& e0 = op(op(e0,e2),e2) )
| ( op(e0,e4) != op(e4,e0)
& e0 != op(op(e4,e0),e4)
& e4 = op(op(e4,e0),e0) )
| ( e0 = op(op(e0,e3),e3)
& e3 != op(op(e0,e3),e0)
& op(e0,e3) != op(e3,e0) )
| ( e0 = op(op(e0,e0),e0)
& e0 != op(op(e0,e0),e0)
& op(e0,e0) != op(e0,e0) ) )
& ( e0 = op(e1,e1)
| e0 = op(e3,e3)
| e0 = op(e0,e0)
| e0 = op(e4,e4)
| e0 = op(e2,e2) )
& ( e4 = op(e1,e1)
| e4 = op(e3,e3)
| e4 = op(e2,e2)
| op(e0,e0) = e4
| e4 = op(e4,e4) )
& ( e2 = op(e3,e3)
| e2 = op(e1,e1)
| e2 = op(e4,e4)
| op(e0,e0) = e2
| e2 = op(e2,e2) )
& ( e1 = op(e1,e1)
| op(e0,e0) = e1
| e1 = op(e4,e4)
| e1 = op(e2,e2)
| e1 = op(e3,e3) ) ),
inference(flattening,[],[f8]) ).
fof(f8,negated_conjecture,
~ ~ ( ( e3 = op(e2,e2)
| e3 = op(e3,e3)
| e3 = op(e1,e1)
| op(e0,e0) = e3
| e3 = op(e4,e4) )
& ( ( e4 = op(op(e4,e4),e4)
& op(e4,e4) != op(e4,e4)
& e4 != op(op(e4,e4),e4) )
| ( e0 = op(op(e0,e4),e4)
& e4 != op(op(e0,e4),e0)
& op(e0,e4) != op(e4,e0) )
| ( e2 = op(op(e2,e2),e2)
& op(e2,e2) != op(e2,e2)
& e2 != op(op(e2,e2),e2) )
| ( e0 != op(op(e2,e0),e2)
& e2 = op(op(e2,e0),e0)
& op(e0,e2) != op(e2,e0) )
| ( op(e3,e4) != op(e4,e3)
& e3 = op(op(e3,e4),e4)
& e4 != op(op(e3,e4),e3) )
| ( e2 != op(op(e1,e2),e1)
& op(e1,e2) != op(e2,e1)
& e1 = op(op(e1,e2),e2) )
| ( e1 = op(op(e1,e1),e1)
& op(e1,e1) != op(e1,e1)
& e1 != op(op(e1,e1),e1) )
| ( e3 != op(op(e1,e3),e1)
& op(e1,e3) != op(e3,e1)
& e1 = op(op(e1,e3),e3) )
| ( e3 = op(op(e3,e1),e1)
& op(e1,e3) != op(e3,e1)
& e1 != op(op(e3,e1),e3) )
| ( e4 = op(op(e4,e3),e3)
& e3 != op(op(e4,e3),e4)
& op(e3,e4) != op(e4,e3) )
| ( op(e2,e3) != op(e3,e2)
& e2 = op(op(e2,e3),e3)
& e3 != op(op(e2,e3),e2) )
| ( e4 != op(op(e1,e4),e1)
& e1 = op(op(e1,e4),e4)
& op(e1,e4) != op(e4,e1) )
| ( e3 = op(op(e3,e0),e0)
& op(e0,e3) != op(e3,e0)
& e0 != op(op(e3,e0),e3) )
| ( op(e0,e1) != op(e1,e0)
& e1 = op(op(e1,e0),e0)
& e0 != op(op(e1,e0),e1) )
| ( e2 != op(op(e4,e2),e4)
& e4 = op(op(e4,e2),e2)
& op(e2,e4) != op(e4,e2) )
| ( op(e2,e4) != op(e4,e2)
& e2 = op(op(e2,e4),e4)
& e4 != op(op(e2,e4),e2) )
| ( e0 = op(op(e0,e1),e1)
& op(e0,e1) != op(e1,e0)
& e1 != op(op(e0,e1),e0) )
| ( op(e1,e2) != op(e2,e1)
& e1 != op(op(e2,e1),e2)
& e2 = op(op(e2,e1),e1) )
| ( e1 != op(op(e4,e1),e4)
& op(e1,e4) != op(e4,e1)
& e4 = op(op(e4,e1),e1) )
| ( op(e3,e3) != op(e3,e3)
& e3 != op(op(e3,e3),e3)
& e3 = op(op(e3,e3),e3) )
| ( e3 = op(op(e3,e2),e2)
& e2 != op(op(e3,e2),e3)
& op(e2,e3) != op(e3,e2) )
| ( op(e0,e2) != op(e2,e0)
& e2 != op(op(e0,e2),e0)
& e0 = op(op(e0,e2),e2) )
| ( op(e0,e4) != op(e4,e0)
& e0 != op(op(e4,e0),e4)
& e4 = op(op(e4,e0),e0) )
| ( e0 = op(op(e0,e3),e3)
& e3 != op(op(e0,e3),e0)
& op(e0,e3) != op(e3,e0) )
| ( e0 = op(op(e0,e0),e0)
& e0 != op(op(e0,e0),e0)
& op(e0,e0) != op(e0,e0) ) )
& ( e0 = op(e1,e1)
| e0 = op(e3,e3)
| e0 = op(e0,e0)
| e0 = op(e4,e4)
| e0 = op(e2,e2) )
& ( e4 = op(e1,e1)
| e4 = op(e3,e3)
| e4 = op(e2,e2)
| op(e0,e0) = e4
| e4 = op(e4,e4) )
& ( e2 = op(e3,e3)
| e2 = op(e1,e1)
| e2 = op(e4,e4)
| op(e0,e0) = e2
| e2 = op(e2,e2) )
& ( e1 = op(e1,e1)
| op(e0,e0) = e1
| e1 = op(e4,e4)
| e1 = op(e2,e2)
| e1 = op(e3,e3) ) ),
inference(negated_conjecture,[],[f7]) ).
fof(f7,conjecture,
~ ( ( e3 = op(e2,e2)
| e3 = op(e3,e3)
| e3 = op(e1,e1)
| op(e0,e0) = e3
| e3 = op(e4,e4) )
& ( ( e4 = op(op(e4,e4),e4)
& op(e4,e4) != op(e4,e4)
& e4 != op(op(e4,e4),e4) )
| ( e0 = op(op(e0,e4),e4)
& e4 != op(op(e0,e4),e0)
& op(e0,e4) != op(e4,e0) )
| ( e2 = op(op(e2,e2),e2)
& op(e2,e2) != op(e2,e2)
& e2 != op(op(e2,e2),e2) )
| ( e0 != op(op(e2,e0),e2)
& e2 = op(op(e2,e0),e0)
& op(e0,e2) != op(e2,e0) )
| ( op(e3,e4) != op(e4,e3)
& e3 = op(op(e3,e4),e4)
& e4 != op(op(e3,e4),e3) )
| ( e2 != op(op(e1,e2),e1)
& op(e1,e2) != op(e2,e1)
& e1 = op(op(e1,e2),e2) )
| ( e1 = op(op(e1,e1),e1)
& op(e1,e1) != op(e1,e1)
& e1 != op(op(e1,e1),e1) )
| ( e3 != op(op(e1,e3),e1)
& op(e1,e3) != op(e3,e1)
& e1 = op(op(e1,e3),e3) )
| ( e3 = op(op(e3,e1),e1)
& op(e1,e3) != op(e3,e1)
& e1 != op(op(e3,e1),e3) )
| ( e4 = op(op(e4,e3),e3)
& e3 != op(op(e4,e3),e4)
& op(e3,e4) != op(e4,e3) )
| ( op(e2,e3) != op(e3,e2)
& e2 = op(op(e2,e3),e3)
& e3 != op(op(e2,e3),e2) )
| ( e4 != op(op(e1,e4),e1)
& e1 = op(op(e1,e4),e4)
& op(e1,e4) != op(e4,e1) )
| ( e3 = op(op(e3,e0),e0)
& op(e0,e3) != op(e3,e0)
& e0 != op(op(e3,e0),e3) )
| ( op(e0,e1) != op(e1,e0)
& e1 = op(op(e1,e0),e0)
& e0 != op(op(e1,e0),e1) )
| ( e2 != op(op(e4,e2),e4)
& e4 = op(op(e4,e2),e2)
& op(e2,e4) != op(e4,e2) )
| ( op(e2,e4) != op(e4,e2)
& e2 = op(op(e2,e4),e4)
& e4 != op(op(e2,e4),e2) )
| ( e0 = op(op(e0,e1),e1)
& op(e0,e1) != op(e1,e0)
& e1 != op(op(e0,e1),e0) )
| ( op(e1,e2) != op(e2,e1)
& e1 != op(op(e2,e1),e2)
& e2 = op(op(e2,e1),e1) )
| ( e1 != op(op(e4,e1),e4)
& op(e1,e4) != op(e4,e1)
& e4 = op(op(e4,e1),e1) )
| ( op(e3,e3) != op(e3,e3)
& e3 != op(op(e3,e3),e3)
& e3 = op(op(e3,e3),e3) )
| ( e3 = op(op(e3,e2),e2)
& e2 != op(op(e3,e2),e3)
& op(e2,e3) != op(e3,e2) )
| ( op(e0,e2) != op(e2,e0)
& e2 != op(op(e0,e2),e0)
& e0 = op(op(e0,e2),e2) )
| ( op(e0,e4) != op(e4,e0)
& e0 != op(op(e4,e0),e4)
& e4 = op(op(e4,e0),e0) )
| ( e0 = op(op(e0,e3),e3)
& e3 != op(op(e0,e3),e0)
& op(e0,e3) != op(e3,e0) )
| ( e0 = op(op(e0,e0),e0)
& e0 != op(op(e0,e0),e0)
& op(e0,e0) != op(e0,e0) ) )
& ( e0 = op(e1,e1)
| e0 = op(e3,e3)
| e0 = op(e0,e0)
| e0 = op(e4,e4)
| e0 = op(e2,e2) )
& ( e4 = op(e1,e1)
| e4 = op(e3,e3)
| e4 = op(e2,e2)
| op(e0,e0) = e4
| e4 = op(e4,e4) )
& ( e2 = op(e3,e3)
| e2 = op(e1,e1)
| e2 = op(e4,e4)
| op(e0,e0) = e2
| e2 = op(e2,e2) )
& ( e1 = op(e1,e1)
| op(e0,e0) = e1
| e1 = op(e4,e4)
| e1 = op(e2,e2)
| e1 = op(e3,e3) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).
fof(f1193,plain,
( spl24_37
| spl24_42
| spl24_188
| spl24_64
| spl24_140 ),
inference(avatar_split_clause,[],[f331,f950,f614,f1190,f519,f497]) ).
fof(f331,plain,
( e1 = op(e2,e2)
| op(e0,e0) = e1
| e1 = op(e4,e4)
| e1 = op(e3,e3)
| e1 = op(e1,e1) ),
inference(cnf_transformation,[],[f34]) ).
fof(f1188,plain,
( ~ spl24_187
| ~ spl24_92 ),
inference(avatar_split_clause,[],[f297,f734,f1185]) ).
fof(f297,plain,
( ~ sP11
| op(e0,e1) != op(e1,e0) ),
inference(cnf_transformation,[],[f47]) ).
fof(f47,plain,
( ( op(e0,e1) != op(e1,e0)
& e1 = op(op(e1,e0),e0)
& e0 != op(op(e1,e0),e1) )
| ~ sP11 ),
inference(nnf_transformation,[],[f21]) ).
fof(f1178,plain,
( ~ spl24_96
| ~ spl24_185 ),
inference(avatar_split_clause,[],[f278,f1175,f750]) ).
fof(f278,plain,
( op(e1,e3) != op(e3,e1)
| ~ sP17 ),
inference(cnf_transformation,[],[f41]) ).
fof(f41,plain,
( ( e3 != op(op(e1,e3),e1)
& op(e1,e3) != op(e3,e1)
& e1 = op(op(e1,e3),e3) )
| ~ sP17 ),
inference(nnf_transformation,[],[f27]) ).
fof(f1144,plain,
( ~ spl24_88
| ~ spl24_142 ),
inference(avatar_split_clause,[],[f283,f960,f718]) ).
fof(f283,plain,
( op(e3,e4) != op(e4,e3)
| ~ sP15 ),
inference(cnf_transformation,[],[f43]) ).
fof(f43,plain,
( ( e4 = op(op(e4,e3),e3)
& e3 != op(op(e4,e3),e4)
& op(e3,e4) != op(e4,e3) )
| ~ sP15 ),
inference(nnf_transformation,[],[f25]) ).
fof(f1117,plain,
( spl24_3
| spl24_20
| spl24_44
| spl24_173
| spl24_13 ),
inference(avatar_split_clause,[],[f69,f396,f1114,f527,f425,f353]) ).
fof(f69,plain,
( e4 = op(e3,e2)
| e0 = op(e3,e2)
| e1 = op(e3,e2)
| e2 = op(e3,e2)
| e3 = op(e3,e2) ),
inference(cnf_transformation,[],[f1]) ).
fof(f1111,plain,
spl24_147,
inference(avatar_split_clause,[],[f1110,f986]) ).
fof(f1110,plain,
e0 = op(e1,e2),
inference(backward_demodulation,[],[f105,f108]) ).
fof(f105,plain,
e0 = op(e1,op(op(e1,e1),op(e1,e1))),
inference(cnf_transformation,[],[f6]) ).
fof(f1109,plain,
( spl24_168
| spl24_169
| spl24_170
| spl24_171
| spl24_172 ),
inference(avatar_split_clause,[],[f98,f1106,f1102,f1098,f1094,f1090]) ).
fof(f98,plain,
( e0 = unit
| e3 = unit
| e2 = unit
| e1 = unit
| e4 = unit ),
inference(cnf_transformation,[],[f2]) ).
fof(f1088,plain,
( spl24_79
| spl24_40
| spl24_49
| spl24_139
| spl24_132 ),
inference(avatar_split_clause,[],[f334,f914,f946,f548,f510,f679]) ).
fof(f334,plain,
( e0 = op(e0,e0)
| e0 = op(e2,e2)
| e0 = op(e1,e1)
| e0 = op(e4,e4)
| e0 = op(e3,e3) ),
inference(cnf_transformation,[],[f34]) ).
fof(f1082,plain,
~ spl24_104,
inference(avatar_split_clause,[],[f341,f782]) ).
fof(f341,plain,
~ sP0,
inference(trivial_inequality_removal,[],[f328]) ).
fof(f328,plain,
( op(e0,e0) != op(e0,e0)
| ~ sP0 ),
inference(cnf_transformation,[],[f58]) ).
fof(f58,plain,
( ( e0 = op(op(e0,e0),e0)
& e0 != op(op(e0,e0),e0)
& op(e0,e0) != op(e0,e0) )
| ~ sP0 ),
inference(nnf_transformation,[],[f10]) ).
fof(f1072,plain,
( spl24_164
| ~ spl24_87 ),
inference(avatar_split_clause,[],[f307,f714,f1069]) ).
fof(f307,plain,
( ~ sP7
| e2 = op(op(e2,e1),e1) ),
inference(cnf_transformation,[],[f51]) ).
fof(f51,plain,
( ( op(e1,e2) != op(e2,e1)
& e1 != op(op(e2,e1),e2)
& e2 = op(op(e2,e1),e1) )
| ~ sP7 ),
inference(nnf_transformation,[],[f17]) ).
fof(f1067,plain,
( ~ spl24_102
| ~ spl24_122 ),
inference(avatar_split_clause,[],[f289,f866,f774]) ).
fof(f289,plain,
( op(e1,e4) != op(e4,e1)
| ~ sP13 ),
inference(cnf_transformation,[],[f45]) ).
fof(f45,plain,
( ( e4 != op(op(e1,e4),e1)
& e1 = op(op(e1,e4),e4)
& op(e1,e4) != op(e4,e1) )
| ~ sP13 ),
inference(nnf_transformation,[],[f23]) ).
fof(f1061,plain,
( ~ spl24_123
| ~ spl24_60 ),
inference(avatar_split_clause,[],[f303,f596,f871]) ).
fof(f303,plain,
( ~ sP9
| op(e2,e4) != op(e4,e2) ),
inference(cnf_transformation,[],[f49]) ).
fof(f49,plain,
( ( op(e2,e4) != op(e4,e2)
& e2 = op(op(e2,e4),e4)
& e4 != op(op(e2,e4),e2) )
| ~ sP9 ),
inference(nnf_transformation,[],[f19]) ).
fof(f1045,plain,
( spl24_82
| spl24_105
| spl24_159
| spl24_40
| spl24_71 ),
inference(avatar_split_clause,[],[f149,f644,f510,f1042,f787,f691]) ).
fof(f149,plain,
( e0 = op(e4,e1)
| e0 = op(e4,e4)
| e0 = op(e4,e0)
| e0 = op(e4,e2)
| e0 = op(e4,e3) ),
inference(cnf_transformation,[],[f3]) ).
fof(f1012,plain,
( ~ spl24_56
| spl24_152 ),
inference(avatar_split_clause,[],[f319,f1009,f578]) ).
fof(f319,plain,
( e0 = op(op(e0,e2),e2)
| ~ sP3 ),
inference(cnf_transformation,[],[f55]) ).
fof(f55,plain,
( ( op(e0,e2) != op(e2,e0)
& e2 != op(op(e0,e2),e0)
& e0 = op(op(e0,e2),e2) )
| ~ sP3 ),
inference(nnf_transformation,[],[f13]) ).
fof(f1007,plain,
( spl24_149
| spl24_150
| spl24_151
| spl24_134
| spl24_126 ),
inference(avatar_split_clause,[],[f68,f885,f923,f1004,f1000,f996]) ).
fof(f68,plain,
( e1 = op(e2,e1)
| e2 = op(e2,e1)
| e4 = op(e2,e1)
| e0 = op(e2,e1)
| e3 = op(e2,e1) ),
inference(cnf_transformation,[],[f1]) ).
fof(f994,plain,
( ~ spl24_148
| ~ spl24_95 ),
inference(avatar_split_clause,[],[f324,f746,f991]) ).
fof(f324,plain,
( ~ sP2
| op(e0,e4) != op(e4,e0) ),
inference(cnf_transformation,[],[f56]) ).
fof(f56,plain,
( ( op(e0,e4) != op(e4,e0)
& e0 != op(op(e4,e0),e4)
& e4 = op(op(e4,e0),e0) )
| ~ sP2 ),
inference(nnf_transformation,[],[f12]) ).
fof(f965,plain,
( spl24_72
| spl24_21
| spl24_138
| spl24_50
| spl24_26 ),
inference(avatar_split_clause,[],[f109,f450,f552,f941,f429,f649]) ).
fof(f109,plain,
( e2 = op(e1,e0)
| e2 = op(e1,e1)
| e2 = op(e1,e3)
| e2 = op(e1,e2)
| e2 = op(e1,e4) ),
inference(cnf_transformation,[],[f3]) ).
fof(f963,plain,
( ~ spl24_86
| ~ spl24_142 ),
inference(avatar_split_clause,[],[f270,f960,f710]) ).
fof(f270,plain,
( op(e3,e4) != op(e4,e3)
| ~ sP20 ),
inference(cnf_transformation,[],[f38]) ).
fof(f38,plain,
( ( op(e3,e4) != op(e4,e3)
& e3 = op(op(e3,e4),e4)
& e4 != op(op(e3,e4),e3) )
| ~ sP20 ),
inference(nnf_transformation,[],[f30]) ).
fof(f903,plain,
~ spl24_99,
inference(avatar_split_clause,[],[f342,f762]) ).
fof(f342,plain,
~ sP18,
inference(trivial_inequality_removal,[],[f275]) ).
fof(f275,plain,
( op(e1,e1) != op(e1,e1)
| ~ sP18 ),
inference(cnf_transformation,[],[f40]) ).
fof(f40,plain,
( ( e1 = op(op(e1,e1),e1)
& op(e1,e1) != op(e1,e1)
& e1 != op(op(e1,e1),e1) )
| ~ sP18 ),
inference(nnf_transformation,[],[f28]) ).
fof(f902,plain,
( spl24_129
| ~ spl24_100 ),
inference(avatar_split_clause,[],[f271,f766,f899]) ).
fof(f271,plain,
( ~ sP19
| e1 = op(op(e1,e2),e2) ),
inference(cnf_transformation,[],[f39]) ).
fof(f39,plain,
( ( e2 != op(op(e1,e2),e1)
& op(e1,e2) != op(e2,e1)
& e1 = op(op(e1,e2),e2) )
| ~ sP19 ),
inference(nnf_transformation,[],[f29]) ).
fof(f897,plain,
( spl24_5
| spl24_68
| spl24_127
| spl24_128
| spl24_51 ),
inference(avatar_split_clause,[],[f136,f557,f894,f890,f632,f361]) ).
fof(f136,plain,
( e3 = op(e4,e3)
| e3 = op(e4,e0)
| e3 = op(e4,e4)
| e3 = op(e4,e1)
| e3 = op(e4,e2) ),
inference(cnf_transformation,[],[f3]) ).
fof(f874,plain,
( ~ spl24_89
| ~ spl24_123 ),
inference(avatar_split_clause,[],[f298,f871,f722]) ).
fof(f298,plain,
( op(e2,e4) != op(e4,e2)
| ~ sP10 ),
inference(cnf_transformation,[],[f48]) ).
fof(f48,plain,
( ( e2 != op(op(e4,e2),e4)
& e4 = op(op(e4,e2),e2)
& op(e2,e4) != op(e4,e2) )
| ~ sP10 ),
inference(nnf_transformation,[],[f20]) ).
fof(f869,plain,
( ~ spl24_122
| ~ spl24_84 ),
inference(avatar_split_clause,[],[f311,f701,f866]) ).
fof(f311,plain,
( ~ sP6
| op(e1,e4) != op(e4,e1) ),
inference(cnf_transformation,[],[f52]) ).
fof(f52,plain,
( ( e1 != op(op(e4,e1),e4)
& op(e1,e4) != op(e4,e1)
& e4 = op(op(e4,e1),e1) )
| ~ sP6 ),
inference(nnf_transformation,[],[f16]) ).
fof(f864,plain,
( spl24_16
| spl24_23
| spl24_120
| spl24_45
| spl24_121 ),
inference(avatar_split_clause,[],[f82,f861,f531,f857,f438,f408]) ).
fof(f82,plain,
( e3 = op(e3,e0)
| e1 = op(e3,e0)
| e0 = op(e3,e0)
| e2 = op(e3,e0)
| e4 = op(e3,e0) ),
inference(cnf_transformation,[],[f1]) ).
fof(f799,plain,
~ spl24_91,
inference(avatar_split_clause,[],[f343,f730]) ).
fof(f343,plain,
~ sP22,
inference(trivial_inequality_removal,[],[f263]) ).
fof(f263,plain,
( ~ sP22
| op(e2,e2) != op(e2,e2) ),
inference(cnf_transformation,[],[f36]) ).
fof(f36,plain,
( ( e2 = op(op(e2,e2),e2)
& op(e2,e2) != op(e2,e2)
& e2 != op(op(e2,e2),e2) )
| ~ sP22 ),
inference(nnf_transformation,[],[f32]) ).
fof(f798,plain,
( spl24_105
| spl24_106
| spl24_5
| spl24_107
| spl24_22 ),
inference(avatar_split_clause,[],[f78,f433,f795,f361,f791,f787]) ).
fof(f78,plain,
( e2 = op(e4,e2)
| e1 = op(e4,e2)
| e3 = op(e4,e2)
| e4 = op(e4,e2)
| e0 = op(e4,e2) ),
inference(cnf_transformation,[],[f1]) ).
fof(f673,plain,
( spl24_14
| spl24_74
| spl24_75
| spl24_76
| spl24_77 ),
inference(avatar_split_clause,[],[f157,f670,f666,f662,f658,f400]) ).
fof(f157,plain,
( e4 = op(e2,e3)
| e4 = op(e4,e3)
| e4 = op(e1,e3)
| e4 = op(e0,e3)
| e4 = op(e3,e3) ),
inference(cnf_transformation,[],[f3]) ).
fof(f594,plain,
( ~ spl24_58
| ~ spl24_59 ),
inference(avatar_split_clause,[],[f288,f591,f587]) ).
fof(f288,plain,
( op(e2,e3) != op(e3,e2)
| ~ sP14 ),
inference(cnf_transformation,[],[f44]) ).
fof(f44,plain,
( ( op(e2,e3) != op(e3,e2)
& e2 = op(op(e2,e3),e3)
& e3 != op(op(e2,e3),e2) )
| ~ sP14 ),
inference(nnf_transformation,[],[f24]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : ALG064+1 : TPTP v8.1.0. Released v2.7.0.
% 0.12/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.12/0.34 % Computer : n026.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Mon Aug 29 15:07:05 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.20/0.50 % (11525)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.20/0.51 % (11541)ott+10_7:2_awrs=decay:awrsf=8:bd=preordered:drc=off:fd=preordered:fde=unused:fsr=off:slsq=on:slsqc=2:slsqr=5,8:sp=const_min:spb=units:to=lpo:i=355:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/355Mi)
% 0.20/0.51 % (11512)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=191324:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/191324Mi)
% 0.20/0.51 % (11534)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/498Mi)
% 0.20/0.52 % (11523)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.20/0.52 % (11526)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.20/0.52 % (11533)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.20/0.53 % (11518)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.53 % (11537)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.20/0.53 % (11514)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.20/0.53 % (11529)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.20/0.53 % (11521)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.53 % (11515)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.53 % (11516)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.53 % (11517)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 0.20/0.54 % (11535)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/467Mi)
% 0.20/0.54 % (11513)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.20/0.54 % (11524)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.20/0.54 % (11538)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.20/0.54 % (11527)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/75Mi)
% 0.20/0.54 % (11528)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.20/0.55 % (11539)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/177Mi)
% 0.20/0.55 % (11540)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.20/0.55 % (11530)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.20/0.55 % (11536)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.20/0.55 % (11519)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.20/0.55 % (11531)ott+4_1:1_av=off:bd=off:nwc=5.0:rp=on:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.20/0.55 % (11522)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.20/0.55 % (11520)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.20/0.55 % (11532)ott+10_1:8_bsd=on:fsd=on:lcm=predicate:nwc=5.0:s2a=on:s2at=1.5:spb=goal_then_units:i=176:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/176Mi)
% 0.20/0.55 % (11519)Instruction limit reached!
% 0.20/0.55 % (11519)------------------------------
% 0.20/0.55 % (11519)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.55 % (11520)Instruction limit reached!
% 0.20/0.55 % (11520)------------------------------
% 0.20/0.55 % (11520)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.55 % (11520)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.55 % (11520)Termination reason: Unknown
% 0.20/0.55 % (11520)Termination phase: Unused predicate definition removal
% 0.20/0.55
% 0.20/0.55 % (11520)Memory used [KB]: 895
% 0.20/0.55 % (11520)Time elapsed: 0.002 s
% 0.20/0.55 % (11520)Instructions burned: 2 (million)
% 0.20/0.55 % (11520)------------------------------
% 0.20/0.55 % (11520)------------------------------
% 0.20/0.56 % (11519)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.56 % (11519)Termination reason: Unknown
% 0.20/0.56 % (11519)Termination phase: Saturation
% 0.20/0.56
% 0.20/0.56 % (11519)Memory used [KB]: 1023
% 0.20/0.56 % (11519)Time elapsed: 0.007 s
% 0.20/0.56 % (11519)Instructions burned: 8 (million)
% 0.20/0.56 % (11519)------------------------------
% 0.20/0.56 % (11519)------------------------------
% 0.20/0.59 % (11514)Instruction limit reached!
% 0.20/0.59 % (11514)------------------------------
% 0.20/0.59 % (11514)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.77/0.61 % (11514)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.77/0.61 % (11514)Termination reason: Unknown
% 1.77/0.61 % (11514)Termination phase: Saturation
% 1.77/0.61
% 1.77/0.61 % (11514)Memory used [KB]: 1279
% 1.77/0.61 % (11514)Time elapsed: 0.164 s
% 1.77/0.61 % (11514)Instructions burned: 38 (million)
% 1.77/0.61 % (11514)------------------------------
% 1.77/0.61 % (11514)------------------------------
% 1.77/0.61 % (11516)Instruction limit reached!
% 1.77/0.61 % (11516)------------------------------
% 1.77/0.61 % (11516)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.77/0.61 TRYING [5]
% 1.77/0.61 % (11518)Instruction limit reached!
% 1.77/0.61 % (11518)------------------------------
% 1.77/0.61 % (11518)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.77/0.61 % (11518)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.77/0.61 % (11518)Termination reason: Unknown
% 1.77/0.61 % (11518)Termination phase: Finite model building preprocessing
% 1.77/0.61
% 1.77/0.61 % (11518)Memory used [KB]: 7291
% 1.77/0.61 % (11518)Time elapsed: 0.032 s
% 1.77/0.61 % (11518)Instructions burned: 51 (million)
% 1.77/0.61 % (11518)------------------------------
% 1.77/0.61 % (11518)------------------------------
% 1.77/0.61 TRYING [5]
% 1.77/0.61 % (11529)Instruction limit reached!
% 1.77/0.61 % (11529)------------------------------
% 1.77/0.61 % (11529)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.77/0.61 % (11529)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.77/0.61 % (11529)Termination reason: Unknown
% 1.77/0.61 % (11529)Termination phase: Finite model building constraint generation
% 1.77/0.61
% 1.77/0.61 % (11529)Memory used [KB]: 7803
% 1.77/0.61 % (11529)Time elapsed: 0.210 s
% 1.77/0.61 % (11529)Instructions burned: 61 (million)
% 1.77/0.61 % (11529)------------------------------
% 1.77/0.61 % (11529)------------------------------
% 1.77/0.61 % (11515)Instruction limit reached!
% 1.77/0.61 % (11515)------------------------------
% 1.77/0.61 % (11515)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.77/0.61 % (11515)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.77/0.61 % (11515)Termination reason: Unknown
% 1.77/0.61 % (11515)Termination phase: Saturation
% 1.77/0.61
% 1.77/0.61 % (11515)Memory used [KB]: 6908
% 1.77/0.61 % (11515)Time elapsed: 0.207 s
% 1.77/0.61 % (11515)Instructions burned: 51 (million)
% 1.77/0.61 % (11515)------------------------------
% 1.77/0.61 % (11515)------------------------------
% 1.77/0.62 % (11513)Instruction limit reached!
% 1.77/0.62 % (11513)------------------------------
% 1.77/0.62 % (11513)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.77/0.62 % (11513)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.77/0.62 % (11513)Termination reason: Unknown
% 1.77/0.62 % (11513)Termination phase: Saturation
% 1.77/0.62
% 1.77/0.62 % (11513)Memory used [KB]: 6652
% 1.77/0.62 % (11513)Time elapsed: 0.027 s
% 1.77/0.62 % (11513)Instructions burned: 52 (million)
% 1.77/0.62 % (11513)------------------------------
% 1.77/0.62 % (11513)------------------------------
% 1.77/0.62 % (11521)Instruction limit reached!
% 1.77/0.62 % (11521)------------------------------
% 1.77/0.62 % (11521)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.77/0.62 % (11521)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.77/0.62 % (11521)Termination reason: Unknown
% 1.77/0.62 % (11521)Termination phase: Saturation
% 1.77/0.62
% 1.77/0.62 % (11521)Memory used [KB]: 1535
% 1.77/0.62 % (11521)Time elapsed: 0.201 s
% 1.77/0.62 % (11521)Instructions burned: 51 (million)
% 1.77/0.62 % (11521)------------------------------
% 1.77/0.62 % (11521)------------------------------
% 1.77/0.62 % (11526)Instruction limit reached!
% 1.77/0.62 % (11526)------------------------------
% 1.77/0.62 % (11526)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.77/0.62 % (11526)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.77/0.62 % (11526)Termination reason: Unknown
% 1.77/0.62 % (11526)Termination phase: Saturation
% 1.77/0.62
% 1.77/0.62 % (11526)Memory used [KB]: 6652
% 1.77/0.62 % (11526)Time elapsed: 0.045 s
% 1.77/0.62 % (11526)Instructions burned: 70 (million)
% 1.77/0.62 % (11526)------------------------------
% 1.77/0.62 % (11526)------------------------------
% 1.77/0.62 % (11517)Instruction limit reached!
% 1.77/0.62 % (11517)------------------------------
% 1.77/0.62 % (11517)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.77/0.62 % (11517)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.77/0.62 % (11517)Termination reason: Unknown
% 1.77/0.62 % (11517)Termination phase: Saturation
% 1.77/0.62
% 1.77/0.62 % (11517)Memory used [KB]: 6396
% 1.77/0.62 % (11517)Time elapsed: 0.194 s
% 1.77/0.62 % (11517)Instructions burned: 50 (million)
% 1.77/0.62 % (11517)------------------------------
% 1.77/0.62 % (11517)------------------------------
% 1.77/0.62 % (11533)First to succeed.
% 1.77/0.62 % (11516)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.77/0.62 % (11516)Termination reason: Unknown
% 1.77/0.62 % (11516)Termination phase: Saturation
% 1.77/0.62
% 1.77/0.62 % (11516)Memory used [KB]: 6524
% 1.77/0.62 % (11516)Time elapsed: 0.025 s
% 1.77/0.62 % (11516)Instructions burned: 51 (million)
% 1.77/0.62 % (11516)------------------------------
% 1.77/0.62 % (11516)------------------------------
% 1.77/0.63 % (11522)Instruction limit reached!
% 1.77/0.63 % (11522)------------------------------
% 1.77/0.63 % (11522)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.77/0.63 % (11522)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.77/0.63 % (11522)Termination reason: Unknown
% 1.77/0.63 % (11522)Termination phase: Saturation
% 1.77/0.63
% 1.77/0.63 % (11522)Memory used [KB]: 7036
% 1.77/0.63 % (11522)Time elapsed: 0.025 s
% 1.77/0.63 % (11522)Instructions burned: 51 (million)
% 1.77/0.63 % (11522)------------------------------
% 1.77/0.63 % (11522)------------------------------
% 2.22/0.65 % (11538)Instruction limit reached!
% 2.22/0.65 % (11538)------------------------------
% 2.22/0.65 % (11538)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.22/0.65 % (11538)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.22/0.65 % (11538)Termination reason: Unknown
% 2.22/0.65 % (11538)Termination phase: Saturation
% 2.22/0.65
% 2.22/0.65 % (11538)Memory used [KB]: 6652
% 2.22/0.65 % (11538)Time elapsed: 0.033 s
% 2.22/0.65 % (11538)Instructions burned: 69 (million)
% 2.22/0.65 % (11538)------------------------------
% 2.22/0.65 % (11538)------------------------------
% 2.22/0.66 % (11533)Refutation found. Thanks to Tanya!
% 2.22/0.66 % SZS status Theorem for theBenchmark
% 2.22/0.66 % SZS output start Proof for theBenchmark
% See solution above
% 2.22/0.66 % (11533)------------------------------
% 2.22/0.66 % (11533)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.22/0.66 % (11533)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.22/0.66 % (11533)Termination reason: Refutation
% 2.22/0.66
% 2.22/0.66 % (11533)Memory used [KB]: 7036
% 2.22/0.66 % (11533)Time elapsed: 0.050 s
% 2.22/0.66 % (11533)Instructions burned: 56 (million)
% 2.22/0.66 % (11533)------------------------------
% 2.22/0.66 % (11533)------------------------------
% 2.22/0.66 % (11511)Success in time 0.298 s
%------------------------------------------------------------------------------