TSTP Solution File: ALG057+1 by SnakeForV-SAT---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : ALG057+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 : n016.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 15:42:25 EDT 2022
% Result : Theorem 2.31s 0.70s
% Output : Refutation 2.31s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 190
% Syntax : Number of formulae : 807 ( 88 unt; 0 def)
% Number of atoms : 2918 (1650 equ)
% Maximal formula atoms : 250 ( 3 avg)
% Number of connectives : 3471 (1360 ~;1396 |; 566 &)
% ( 149 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 101 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 185 ( 183 usr; 184 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 6 con; 0-2 aty)
% Number of variables : 0 ( 0 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f4176,plain,
$false,
inference(avatar_sat_refutation,[],[f555,f689,f750,f785,f795,f817,f826,f865,f878,f904,f941,f950,f972,f985,f1053,f1112,f1145,f1151,f1164,f1196,f1202,f1226,f1235,f1247,f1271,f1281,f1282,f1296,f1303,f1334,f1346,f1385,f1421,f1462,f1477,f1478,f1488,f1493,f1494,f1530,f1555,f1614,f1621,f1627,f1634,f1638,f1650,f1657,f1668,f1669,f1679,f1682,f1684,f1704,f1737,f1755,f1780,f1796,f1797,f1807,f1817,f1821,f1822,f1832,f1869,f1892,f1894,f1897,f1898,f1969,f2022,f2041,f2054,f2104,f2122,f2202,f2206,f2259,f2262,f2269,f2277,f2278,f2283,f2290,f2363,f2453,f2462,f2467,f2479,f2486,f2517,f2525,f2559,f2562,f2571,f2584,f2681,f2688,f2695,f2712,f2714,f2718,f2771,f2780,f2827,f2882,f2946,f2954,f2967,f2993,f2999,f3019,f3023,f3027,f3038,f3058,f3069,f3098,f3107,f3119,f3144,f3180,f3187,f3208,f3214,f3225,f3241,f3253,f3316,f3350,f3371,f3419,f3460,f3489,f3507,f3512,f3515,f3551,f3584,f3604,f3609,f3622,f3690,f3750,f3754,f3756,f3768,f3775,f3791,f3799,f3832,f3873,f3910,f3920,f3930,f3943,f3953,f3990,f4026,f4076,f4095,f4106,f4123,f4126,f4133,f4141,f4144,f4150,f4160,f4171]) ).
fof(f4171,plain,
( ~ spl34_153
| ~ spl34_184
| spl34_262 ),
inference(avatar_contradiction_clause,[],[f4170]) ).
fof(f4170,plain,
( $false
| ~ spl34_153
| ~ spl34_184
| spl34_262 ),
inference(subsumption_resolution,[],[f4169,f1234]) ).
fof(f1234,plain,
( e2 = op(e3,e1)
| ~ spl34_184 ),
inference(avatar_component_clause,[],[f1232]) ).
fof(f1232,plain,
( spl34_184
<=> e2 = op(e3,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_184])]) ).
fof(f4169,plain,
( e2 != op(e3,e1)
| ~ spl34_153
| spl34_262 ),
inference(forward_demodulation,[],[f1667,f1083]) ).
fof(f1083,plain,
( e3 = op(e1,e2)
| ~ spl34_153 ),
inference(avatar_component_clause,[],[f1081]) ).
fof(f1081,plain,
( spl34_153
<=> e3 = op(e1,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_153])]) ).
fof(f1667,plain,
( e2 != op(op(e1,e2),e1)
| spl34_262 ),
inference(avatar_component_clause,[],[f1665]) ).
fof(f1665,plain,
( spl34_262
<=> e2 = op(op(e1,e2),e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_262])]) ).
fof(f4160,plain,
( ~ spl34_61
| ~ spl34_184
| ~ spl34_238 ),
inference(avatar_contradiction_clause,[],[f4159]) ).
fof(f4159,plain,
( $false
| ~ spl34_61
| ~ spl34_184
| ~ spl34_238 ),
inference(subsumption_resolution,[],[f4158,f234]) ).
fof(f234,plain,
e0 != e3,
inference(cnf_transformation,[],[f5]) ).
fof(f5,axiom,
( e0 != e3
& e1 != e3
& e0 != e2
& e1 != e2
& e2 != e4
& e2 != e3
& e0 != e1
& e1 != e4
& e3 != e4
& e0 != e4 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax5) ).
fof(f4158,plain,
( e0 = e3
| ~ spl34_61
| ~ spl34_184
| ~ spl34_238 ),
inference(forward_demodulation,[],[f4157,f679]) ).
fof(f679,plain,
( e0 = op(e2,e1)
| ~ spl34_61 ),
inference(avatar_component_clause,[],[f677]) ).
fof(f677,plain,
( spl34_61
<=> e0 = op(e2,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_61])]) ).
fof(f4157,plain,
( e3 = op(e2,e1)
| ~ spl34_184
| ~ spl34_238 ),
inference(forward_demodulation,[],[f1529,f1234]) ).
fof(f1529,plain,
( e3 = op(op(e3,e1),e1)
| ~ spl34_238 ),
inference(avatar_component_clause,[],[f1527]) ).
fof(f1527,plain,
( spl34_238
<=> e3 = op(op(e3,e1),e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_238])]) ).
fof(f4150,plain,
( ~ spl34_39
| ~ spl34_188
| spl34_197 ),
inference(avatar_contradiction_clause,[],[f4149]) ).
fof(f4149,plain,
( $false
| ~ spl34_39
| ~ spl34_188
| spl34_197 ),
inference(subsumption_resolution,[],[f4148,f1256]) ).
fof(f1256,plain,
( e1 = op(e0,e1)
| ~ spl34_188 ),
inference(avatar_component_clause,[],[f1254]) ).
fof(f1254,plain,
( spl34_188
<=> e1 = op(e0,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_188])]) ).
fof(f4148,plain,
( e1 != op(e0,e1)
| ~ spl34_39
| spl34_197 ),
inference(forward_demodulation,[],[f1302,f584]) ).
fof(f584,plain,
( e1 = op(e1,e0)
| ~ spl34_39 ),
inference(avatar_component_clause,[],[f582]) ).
fof(f582,plain,
( spl34_39
<=> e1 = op(e1,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_39])]) ).
fof(f1302,plain,
( op(e0,e1) != op(e1,e0)
| spl34_197 ),
inference(avatar_component_clause,[],[f1300]) ).
fof(f1300,plain,
( spl34_197
<=> op(e0,e1) = op(e1,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_197])]) ).
fof(f4144,plain,
( ~ spl34_129
| ~ spl34_196
| spl34_257 ),
inference(avatar_contradiction_clause,[],[f4143]) ).
fof(f4143,plain,
( $false
| ~ spl34_129
| ~ spl34_196
| spl34_257 ),
inference(subsumption_resolution,[],[f4142,f980]) ).
fof(f980,plain,
( e4 = op(e4,e0)
| ~ spl34_129 ),
inference(avatar_component_clause,[],[f978]) ).
fof(f978,plain,
( spl34_129
<=> e4 = op(e4,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_129])]) ).
fof(f4142,plain,
( e4 != op(e4,e0)
| ~ spl34_196
| spl34_257 ),
inference(forward_demodulation,[],[f1633,f1295]) ).
fof(f1295,plain,
( e4 = op(e0,e4)
| ~ spl34_196 ),
inference(avatar_component_clause,[],[f1293]) ).
fof(f1293,plain,
( spl34_196
<=> e4 = op(e0,e4) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_196])]) ).
fof(f1633,plain,
( e4 != op(op(e0,e4),e0)
| spl34_257 ),
inference(avatar_component_clause,[],[f1631]) ).
fof(f1631,plain,
( spl34_257
<=> e4 = op(op(e0,e4),e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_257])]) ).
fof(f4141,plain,
( ~ spl34_129
| spl34_178
| ~ spl34_196 ),
inference(avatar_contradiction_clause,[],[f4140]) ).
fof(f4140,plain,
( $false
| ~ spl34_129
| spl34_178
| ~ spl34_196 ),
inference(subsumption_resolution,[],[f4139,f1295]) ).
fof(f4139,plain,
( e4 != op(e0,e4)
| ~ spl34_129
| spl34_178 ),
inference(forward_demodulation,[],[f1206,f980]) ).
fof(f1206,plain,
( op(e0,e4) != op(e4,e0)
| spl34_178 ),
inference(avatar_component_clause,[],[f1204]) ).
fof(f1204,plain,
( spl34_178
<=> op(e0,e4) = op(e4,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_178])]) ).
fof(f4133,plain,
( ~ spl34_21
| ~ spl34_84
| spl34_185
| ~ spl34_186 ),
inference(avatar_contradiction_clause,[],[f4132]) ).
fof(f4132,plain,
( $false
| ~ spl34_21
| ~ spl34_84
| spl34_185
| ~ spl34_186 ),
inference(subsumption_resolution,[],[f4131,f1241]) ).
fof(f1241,plain,
( e2 != e3
| spl34_185 ),
inference(avatar_component_clause,[],[f1239]) ).
fof(f1239,plain,
( spl34_185
<=> e2 = e3 ),
introduced(avatar_definition,[new_symbols(naming,[spl34_185])]) ).
fof(f4131,plain,
( e2 = e3
| ~ spl34_21
| ~ spl34_84
| ~ spl34_186 ),
inference(forward_demodulation,[],[f4130,f507]) ).
fof(f507,plain,
( e2 = op(e0,e2)
| ~ spl34_21 ),
inference(avatar_component_clause,[],[f505]) ).
fof(f505,plain,
( spl34_21
<=> e2 = op(e0,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_21])]) ).
fof(f4130,plain,
( e3 = op(e0,e2)
| ~ spl34_84
| ~ spl34_186 ),
inference(forward_demodulation,[],[f1246,f780]) ).
fof(f780,plain,
( e0 = op(e3,e2)
| ~ spl34_84 ),
inference(avatar_component_clause,[],[f778]) ).
fof(f778,plain,
( spl34_84
<=> e0 = op(e3,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_84])]) ).
fof(f1246,plain,
( e3 = op(op(e3,e2),e2)
| ~ spl34_186 ),
inference(avatar_component_clause,[],[f1244]) ).
fof(f1244,plain,
( spl34_186
<=> e3 = op(op(e3,e2),e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_186])]) ).
fof(f4126,plain,
( spl34_117
| ~ spl34_195
| ~ spl34_231 ),
inference(avatar_contradiction_clause,[],[f4125]) ).
fof(f4125,plain,
( $false
| spl34_117
| ~ spl34_195
| ~ spl34_231 ),
inference(subsumption_resolution,[],[f4124,f926]) ).
fof(f926,plain,
( e1 != op(e2,e4)
| spl34_117 ),
inference(avatar_component_clause,[],[f925]) ).
fof(f925,plain,
( spl34_117
<=> e1 = op(e2,e4) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_117])]) ).
fof(f4124,plain,
( e1 = op(e2,e4)
| ~ spl34_195
| ~ spl34_231 ),
inference(forward_demodulation,[],[f1487,f1290]) ).
fof(f1290,plain,
( e2 = op(e1,e4)
| ~ spl34_195 ),
inference(avatar_component_clause,[],[f1288]) ).
fof(f1288,plain,
( spl34_195
<=> e2 = op(e1,e4) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_195])]) ).
fof(f1487,plain,
( e1 = op(op(e1,e4),e4)
| ~ spl34_231 ),
inference(avatar_component_clause,[],[f1485]) ).
fof(f1485,plain,
( spl34_231
<=> e1 = op(op(e1,e4),e4) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_231])]) ).
fof(f4123,plain,
( ~ spl34_79
| ~ spl34_122
| spl34_168 ),
inference(avatar_contradiction_clause,[],[f4122]) ).
fof(f4122,plain,
( $false
| ~ spl34_79
| ~ spl34_122
| spl34_168 ),
inference(subsumption_resolution,[],[f4121,f1154]) ).
fof(f1154,plain,
( e1 != op(e0,e3)
| spl34_168 ),
inference(avatar_component_clause,[],[f1153]) ).
fof(f1153,plain,
( spl34_168
<=> e1 = op(e0,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_168])]) ).
fof(f4121,plain,
( e1 = op(e0,e3)
| ~ spl34_79
| ~ spl34_122 ),
inference(forward_demodulation,[],[f949,f759]) ).
fof(f759,plain,
( e0 = op(e1,e3)
| ~ spl34_79 ),
inference(avatar_component_clause,[],[f757]) ).
fof(f757,plain,
( spl34_79
<=> e0 = op(e1,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_79])]) ).
fof(f949,plain,
( e1 = op(op(e1,e3),e3)
| ~ spl34_122 ),
inference(avatar_component_clause,[],[f947]) ).
fof(f947,plain,
( spl34_122
<=> e1 = op(op(e1,e3),e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_122])]) ).
fof(f4106,plain,
( ~ spl34_69
| ~ spl34_75
| spl34_232 ),
inference(avatar_contradiction_clause,[],[f4105]) ).
fof(f4105,plain,
( $false
| ~ spl34_69
| ~ spl34_75
| spl34_232 ),
inference(subsumption_resolution,[],[f4104,f715]) ).
fof(f715,plain,
( e3 = op(e2,e4)
| ~ spl34_69 ),
inference(avatar_component_clause,[],[f713]) ).
fof(f713,plain,
( spl34_69
<=> e3 = op(e2,e4) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_69])]) ).
fof(f4104,plain,
( e3 != op(e2,e4)
| ~ spl34_75
| spl34_232 ),
inference(forward_demodulation,[],[f1492,f741]) ).
fof(f741,plain,
( e2 = op(e4,e3)
| ~ spl34_75 ),
inference(avatar_component_clause,[],[f739]) ).
fof(f739,plain,
( spl34_75
<=> e2 = op(e4,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_75])]) ).
fof(f1492,plain,
( e3 != op(op(e4,e3),e4)
| spl34_232 ),
inference(avatar_component_clause,[],[f1490]) ).
fof(f1490,plain,
( spl34_232
<=> e3 = op(op(e4,e3),e4) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_232])]) ).
fof(f4095,plain,
( ~ spl34_21
| spl34_94
| ~ spl34_110 ),
inference(avatar_contradiction_clause,[],[f4094]) ).
fof(f4094,plain,
( $false
| ~ spl34_21
| spl34_94
| ~ spl34_110 ),
inference(subsumption_resolution,[],[f4093,f507]) ).
fof(f4093,plain,
( e2 != op(e0,e2)
| spl34_94
| ~ spl34_110 ),
inference(forward_demodulation,[],[f825,f895]) ).
fof(f895,plain,
( e2 = op(e2,e0)
| ~ spl34_110 ),
inference(avatar_component_clause,[],[f893]) ).
fof(f893,plain,
( spl34_110
<=> e2 = op(e2,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_110])]) ).
fof(f825,plain,
( op(e0,e2) != op(e2,e0)
| spl34_94 ),
inference(avatar_component_clause,[],[f823]) ).
fof(f823,plain,
( spl34_94
<=> op(e0,e2) = op(e2,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_94])]) ).
fof(f4076,plain,
( ~ spl34_3
| ~ spl34_69
| ~ spl34_159 ),
inference(avatar_contradiction_clause,[],[f4075]) ).
fof(f4075,plain,
( $false
| ~ spl34_3
| ~ spl34_69
| ~ spl34_159 ),
inference(subsumption_resolution,[],[f4074,f231]) ).
fof(f231,plain,
e1 != e2,
inference(cnf_transformation,[],[f5]) ).
fof(f4074,plain,
( e1 = e2
| ~ spl34_3
| ~ spl34_69
| ~ spl34_159 ),
inference(forward_demodulation,[],[f4073,f430]) ).
fof(f430,plain,
( e1 = op(e3,e4)
| ~ spl34_3 ),
inference(avatar_component_clause,[],[f428]) ).
fof(f428,plain,
( spl34_3
<=> e1 = op(e3,e4) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_3])]) ).
fof(f4073,plain,
( e2 = op(e3,e4)
| ~ spl34_69
| ~ spl34_159 ),
inference(forward_demodulation,[],[f1111,f715]) ).
fof(f1111,plain,
( e2 = op(op(e2,e4),e4)
| ~ spl34_159 ),
inference(avatar_component_clause,[],[f1109]) ).
fof(f1109,plain,
( spl34_159
<=> e2 = op(op(e2,e4),e4) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_159])]) ).
fof(f4026,plain,
( spl34_21
| ~ spl34_253 ),
inference(avatar_split_clause,[],[f3747,f1607,f505]) ).
fof(f1607,plain,
( spl34_253
<=> e0 = unit ),
introduced(avatar_definition,[new_symbols(naming,[spl34_253])]) ).
fof(f3747,plain,
( e2 = op(e0,e2)
| ~ spl34_253 ),
inference(backward_demodulation,[],[f218,f1609]) ).
fof(f1609,plain,
( e0 = unit
| ~ spl34_253 ),
inference(avatar_component_clause,[],[f1607]) ).
fof(f218,plain,
e2 = op(unit,e2),
inference(cnf_transformation,[],[f2]) ).
fof(f2,axiom,
( e2 = op(e2,unit)
& e3 = op(e3,unit)
& e0 = op(unit,e0)
& e4 = op(unit,e4)
& e3 = op(unit,e3)
& e1 = op(e1,unit)
& e2 = op(unit,e2)
& e1 = op(unit,e1)
& e4 = op(e4,unit)
& e0 = op(e0,unit)
& ( e0 = unit
| e2 = unit
| e3 = unit
| e4 = unit
| e1 = unit ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax2) ).
fof(f3990,plain,
( ~ spl34_3
| ~ spl34_216
| spl34_229 ),
inference(avatar_contradiction_clause,[],[f3989]) ).
fof(f3989,plain,
( $false
| ~ spl34_3
| ~ spl34_216
| spl34_229 ),
inference(subsumption_resolution,[],[f3987,f430]) ).
fof(f3987,plain,
( e1 != op(e3,e4)
| ~ spl34_216
| spl34_229 ),
inference(backward_demodulation,[],[f1476,f1404]) ).
fof(f1404,plain,
( e3 = op(e4,e1)
| ~ spl34_216 ),
inference(avatar_component_clause,[],[f1402]) ).
fof(f1402,plain,
( spl34_216
<=> e3 = op(e4,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_216])]) ).
fof(f1476,plain,
( e1 != op(op(e4,e1),e4)
| spl34_229 ),
inference(avatar_component_clause,[],[f1474]) ).
fof(f1474,plain,
( spl34_229
<=> e1 = op(op(e4,e1),e4) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_229])]) ).
fof(f3953,plain,
( ~ spl34_216
| ~ spl34_215 ),
inference(avatar_split_clause,[],[f3952,f1398,f1402]) ).
fof(f1398,plain,
( spl34_215
<=> e3 = op(e3,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_215])]) ).
fof(f3952,plain,
( e3 != op(e4,e1)
| ~ spl34_215 ),
inference(forward_demodulation,[],[f303,f1400]) ).
fof(f1400,plain,
( e3 = op(e3,e1)
| ~ spl34_215 ),
inference(avatar_component_clause,[],[f1398]) ).
fof(f303,plain,
op(e3,e1) != op(e4,e1),
inference(cnf_transformation,[],[f4]) ).
fof(f4,axiom,
( op(e3,e0) != op(e3,e1)
& op(e1,e4) != op(e2,e4)
& op(e4,e3) != op(e4,e4)
& op(e0,e0) != op(e0,e2)
& op(e0,e4) != op(e2,e4)
& op(e1,e0) != op(e1,e3)
& op(e1,e3) != op(e2,e3)
& op(e4,e1) != op(e4,e2)
& op(e2,e1) != op(e2,e4)
& op(e0,e2) != op(e2,e2)
& op(e2,e0) != op(e2,e2)
& op(e2,e0) != op(e2,e3)
& op(e4,e2) != op(e4,e3)
& op(e3,e3) != op(e3,e4)
& op(e0,e1) != op(e0,e2)
& op(e1,e2) != op(e2,e2)
& op(e4,e0) != op(e4,e2)
& op(e1,e1) != op(e4,e1)
& op(e1,e3) != op(e4,e3)
& op(e0,e3) != op(e2,e3)
& op(e2,e0) != op(e4,e0)
& op(e0,e2) != op(e0,e3)
& op(e1,e0) != op(e1,e4)
& op(e2,e1) != op(e3,e1)
& op(e4,e0) != op(e4,e3)
& op(e2,e2) != op(e3,e2)
& op(e1,e3) != op(e3,e3)
& op(e3,e4) != op(e4,e4)
& op(e0,e4) != op(e1,e4)
& op(e1,e1) != op(e2,e1)
& op(e2,e3) != op(e4,e3)
& op(e0,e0) != op(e3,e0)
& op(e1,e2) != op(e1,e4)
& op(e2,e4) != op(e3,e4)
& op(e2,e0) != op(e2,e4)
& op(e1,e1) != op(e1,e3)
& op(e1,e1) != op(e1,e4)
& op(e0,e4) != op(e4,e4)
& op(e0,e1) != op(e0,e4)
& op(e4,e0) != op(e4,e1)
& op(e0,e0) != op(e0,e3)
& op(e0,e1) != op(e2,e1)
& op(e1,e1) != op(e1,e2)
& op(e1,e3) != op(e1,e4)
& op(e0,e3) != op(e0,e4)
& op(e3,e0) != op(e4,e0)
& op(e2,e1) != op(e2,e2)
& op(e0,e3) != op(e1,e3)
& op(e4,e1) != op(e4,e4)
& op(e0,e0) != op(e0,e1)
& op(e0,e2) != op(e4,e2)
& op(e0,e2) != op(e0,e4)
& op(e3,e2) != op(e3,e4)
& op(e0,e0) != op(e2,e0)
& op(e1,e2) != op(e1,e3)
& op(e3,e1) != op(e3,e2)
& op(e0,e2) != op(e1,e2)
& op(e0,e1) != op(e1,e1)
& op(e1,e2) != op(e3,e2)
& op(e0,e0) != op(e0,e4)
& op(e4,e1) != op(e4,e3)
& op(e4,e0) != op(e4,e4)
& op(e2,e0) != op(e2,e1)
& op(e1,e2) != op(e4,e2)
& op(e2,e2) != op(e4,e2)
& op(e0,e0) != op(e1,e0)
& op(e3,e0) != op(e3,e2)
& op(e1,e4) != op(e3,e4)
& op(e3,e1) != op(e3,e3)
& op(e2,e2) != op(e2,e4)
& op(e1,e0) != op(e4,e0)
& op(e1,e0) != op(e3,e0)
& op(e1,e1) != op(e3,e1)
& op(e1,e4) != op(e4,e4)
& op(e0,e3) != op(e4,e3)
& op(e2,e1) != op(e2,e3)
& op(e3,e0) != op(e3,e4)
& op(e4,e2) != op(e4,e4)
& op(e1,e0) != op(e1,e2)
& op(e3,e3) != op(e4,e3)
& op(e1,e0) != op(e1,e1)
& op(e3,e1) != op(e4,e1)
& op(e2,e3) != op(e3,e3)
& op(e0,e3) != op(e3,e3)
& op(e3,e0) != op(e3,e3)
& op(e1,e0) != op(e2,e0)
& op(e3,e2) != op(e3,e3)
& op(e0,e4) != op(e3,e4)
& op(e0,e2) != op(e3,e2)
& op(e0,e1) != op(e0,e3)
& op(e2,e0) != op(e3,e0)
& op(e0,e1) != op(e3,e1)
& op(e2,e1) != op(e4,e1)
& op(e2,e4) != op(e4,e4)
& op(e0,e1) != op(e4,e1)
& op(e0,e0) != op(e4,e0)
& op(e3,e1) != op(e3,e4)
& op(e2,e2) != op(e2,e3)
& op(e2,e3) != op(e2,e4)
& op(e3,e2) != op(e4,e2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax4) ).
fof(f3943,plain,
( spl34_119
| ~ spl34_210
| ~ spl34_249 ),
inference(avatar_contradiction_clause,[],[f3942]) ).
fof(f3942,plain,
( $false
| spl34_119
| ~ spl34_210
| ~ spl34_249 ),
inference(subsumption_resolution,[],[f3941,f1592]) ).
fof(f1592,plain,
( e3 = op(e0,e3)
| ~ spl34_249 ),
inference(avatar_component_clause,[],[f1590]) ).
fof(f1590,plain,
( spl34_249
<=> e3 = op(e0,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_249])]) ).
fof(f3941,plain,
( e3 != op(e0,e3)
| spl34_119
| ~ spl34_210 ),
inference(forward_demodulation,[],[f936,f1373]) ).
fof(f1373,plain,
( e3 = op(e3,e0)
| ~ spl34_210 ),
inference(avatar_component_clause,[],[f1371]) ).
fof(f1371,plain,
( spl34_210
<=> e3 = op(e3,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_210])]) ).
fof(f936,plain,
( op(e0,e3) != op(e3,e0)
| spl34_119 ),
inference(avatar_component_clause,[],[f934]) ).
fof(f934,plain,
( spl34_119
<=> op(e0,e3) = op(e3,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_119])]) ).
fof(f3930,plain,
( ~ spl34_85
| ~ spl34_84 ),
inference(avatar_split_clause,[],[f3929,f778,f782]) ).
fof(f782,plain,
( spl34_85
<=> e0 = op(e3,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_85])]) ).
fof(f3929,plain,
( e0 != op(e3,e3)
| ~ spl34_84 ),
inference(forward_demodulation,[],[f298,f780]) ).
fof(f298,plain,
op(e3,e2) != op(e3,e3),
inference(cnf_transformation,[],[f4]) ).
fof(f3920,plain,
( ~ spl34_150
| ~ spl34_39 ),
inference(avatar_split_clause,[],[f3919,f582,f1069]) ).
fof(f1069,plain,
( spl34_150
<=> e1 = op(e1,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_150])]) ).
fof(f3919,plain,
( e1 != op(e1,e2)
| ~ spl34_39 ),
inference(forward_demodulation,[],[f306,f584]) ).
fof(f306,plain,
op(e1,e0) != op(e1,e2),
inference(cnf_transformation,[],[f4]) ).
fof(f3910,plain,
( ~ spl34_61
| ~ spl34_87
| ~ spl34_188 ),
inference(avatar_contradiction_clause,[],[f3909]) ).
fof(f3909,plain,
( $false
| ~ spl34_61
| ~ spl34_87
| ~ spl34_188 ),
inference(subsumption_resolution,[],[f3908,f231]) ).
fof(f3908,plain,
( e1 = e2
| ~ spl34_61
| ~ spl34_87
| ~ spl34_188 ),
inference(forward_demodulation,[],[f3907,f1256]) ).
fof(f3907,plain,
( e2 = op(e0,e1)
| ~ spl34_61
| ~ spl34_87 ),
inference(forward_demodulation,[],[f794,f679]) ).
fof(f794,plain,
( e2 = op(op(e2,e1),e1)
| ~ spl34_87 ),
inference(avatar_component_clause,[],[f792]) ).
fof(f792,plain,
( spl34_87
<=> e2 = op(op(e2,e1),e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_87])]) ).
fof(f3873,plain,
( spl34_188
| ~ spl34_253 ),
inference(avatar_split_clause,[],[f3872,f1607,f1254]) ).
fof(f3872,plain,
( e1 = op(e0,e1)
| ~ spl34_253 ),
inference(forward_demodulation,[],[f217,f1609]) ).
fof(f217,plain,
e1 = op(unit,e1),
inference(cnf_transformation,[],[f2]) ).
fof(f3832,plain,
( spl34_249
| ~ spl34_253 ),
inference(avatar_split_clause,[],[f3831,f1607,f1590]) ).
fof(f3831,plain,
( e3 = op(e0,e3)
| ~ spl34_253 ),
inference(forward_demodulation,[],[f220,f1609]) ).
fof(f220,plain,
e3 = op(unit,e3),
inference(cnf_transformation,[],[f2]) ).
fof(f3799,plain,
( ~ spl34_195
| spl34_212
| ~ spl34_235 ),
inference(avatar_contradiction_clause,[],[f3798]) ).
fof(f3798,plain,
( $false
| ~ spl34_195
| spl34_212
| ~ spl34_235 ),
inference(subsumption_resolution,[],[f3797,f1290]) ).
fof(f3797,plain,
( e2 != op(e1,e4)
| spl34_212
| ~ spl34_235 ),
inference(forward_demodulation,[],[f1384,f1510]) ).
fof(f1510,plain,
( e1 = op(e4,e2)
| ~ spl34_235 ),
inference(avatar_component_clause,[],[f1508]) ).
fof(f1508,plain,
( spl34_235
<=> e1 = op(e4,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_235])]) ).
fof(f1384,plain,
( e2 != op(op(e4,e2),e4)
| spl34_212 ),
inference(avatar_component_clause,[],[f1382]) ).
fof(f1382,plain,
( spl34_212
<=> e2 = op(op(e4,e2),e4) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_212])]) ).
fof(f3791,plain,
( ~ spl34_168
| ~ spl34_169 ),
inference(avatar_split_clause,[],[f3787,f1157,f1153]) ).
fof(f1157,plain,
( spl34_169
<=> e1 = op(e2,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_169])]) ).
fof(f3787,plain,
( e1 != op(e0,e3)
| ~ spl34_169 ),
inference(backward_demodulation,[],[f365,f1159]) ).
fof(f1159,plain,
( e1 = op(e2,e3)
| ~ spl34_169 ),
inference(avatar_component_clause,[],[f1157]) ).
fof(f365,plain,
op(e0,e3) != op(e2,e3),
inference(cnf_transformation,[],[f4]) ).
fof(f3775,plain,
( ~ spl34_183
| ~ spl34_195 ),
inference(avatar_split_clause,[],[f3774,f1288,f1228]) ).
fof(f1228,plain,
( spl34_183
<=> e2 = op(e1,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_183])]) ).
fof(f3774,plain,
( e2 != op(e1,e1)
| ~ spl34_195 ),
inference(forward_demodulation,[],[f348,f1290]) ).
fof(f348,plain,
op(e1,e1) != op(e1,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f3768,plain,
( ~ spl34_146
| ~ spl34_110 ),
inference(avatar_split_clause,[],[f3767,f893,f1050]) ).
fof(f1050,plain,
( spl34_146
<=> e2 = op(e2,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_146])]) ).
fof(f3767,plain,
( e2 != op(e2,e1)
| ~ spl34_110 ),
inference(forward_demodulation,[],[f322,f895]) ).
fof(f322,plain,
op(e2,e0) != op(e2,e1),
inference(cnf_transformation,[],[f4]) ).
fof(f3756,plain,
( spl34_210
| ~ spl34_253 ),
inference(avatar_split_clause,[],[f3755,f1607,f1371]) ).
fof(f3755,plain,
( e3 = op(e3,e0)
| ~ spl34_253 ),
inference(forward_demodulation,[],[f223,f1609]) ).
fof(f223,plain,
e3 = op(e3,unit),
inference(cnf_transformation,[],[f2]) ).
fof(f3754,plain,
( ~ spl34_230
| ~ spl34_75 ),
inference(avatar_split_clause,[],[f3753,f739,f1480]) ).
fof(f1480,plain,
( spl34_230
<=> e2 = op(e2,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_230])]) ).
fof(f3753,plain,
( e2 != op(e2,e3)
| ~ spl34_75 ),
inference(forward_demodulation,[],[f354,f741]) ).
fof(f354,plain,
op(e2,e3) != op(e4,e3),
inference(cnf_transformation,[],[f4]) ).
fof(f3750,plain,
( ~ spl34_128
| ~ spl34_253 ),
inference(avatar_contradiction_clause,[],[f3749]) ).
fof(f3749,plain,
( $false
| ~ spl34_128
| ~ spl34_253 ),
inference(subsumption_resolution,[],[f3748,f226]) ).
fof(f226,plain,
e3 != e4,
inference(cnf_transformation,[],[f5]) ).
fof(f3748,plain,
( e3 = e4
| ~ spl34_128
| ~ spl34_253 ),
inference(forward_demodulation,[],[f3743,f976]) ).
fof(f976,plain,
( e3 = op(e4,e0)
| ~ spl34_128 ),
inference(avatar_component_clause,[],[f974]) ).
fof(f974,plain,
( spl34_128
<=> e3 = op(e4,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_128])]) ).
fof(f3743,plain,
( e4 = op(e4,e0)
| ~ spl34_253 ),
inference(backward_demodulation,[],[f216,f1609]) ).
fof(f216,plain,
e4 = op(e4,unit),
inference(cnf_transformation,[],[f2]) ).
fof(f3690,plain,
( spl34_117
| ~ spl34_160
| ~ spl34_235 ),
inference(avatar_contradiction_clause,[],[f3689]) ).
fof(f3689,plain,
( $false
| spl34_117
| ~ spl34_160
| ~ spl34_235 ),
inference(subsumption_resolution,[],[f3688,f926]) ).
fof(f3688,plain,
( e1 = op(e2,e4)
| ~ spl34_160
| ~ spl34_235 ),
inference(forward_demodulation,[],[f1115,f1510]) ).
fof(f1115,plain,
( op(e2,e4) = op(e4,e2)
| ~ spl34_160 ),
inference(avatar_component_clause,[],[f1114]) ).
fof(f1114,plain,
( spl34_160
<=> op(e2,e4) = op(e4,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_160])]) ).
fof(f3622,plain,
( spl34_75
| ~ spl34_53
| ~ spl34_69 ),
inference(avatar_split_clause,[],[f3621,f713,f643,f739]) ).
fof(f643,plain,
( spl34_53
<=> e2 = op(e4,op(e2,e4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_53])]) ).
fof(f3621,plain,
( e2 = op(e4,e3)
| ~ spl34_53
| ~ spl34_69 ),
inference(forward_demodulation,[],[f645,f715]) ).
fof(f645,plain,
( e2 = op(e4,op(e2,e4))
| ~ spl34_53 ),
inference(avatar_component_clause,[],[f643]) ).
fof(f3609,plain,
( ~ spl34_102
| ~ spl34_168 ),
inference(avatar_contradiction_clause,[],[f3608]) ).
fof(f3608,plain,
( $false
| ~ spl34_102
| ~ spl34_168 ),
inference(subsumption_resolution,[],[f3607,f860]) ).
fof(f860,plain,
( e1 = op(e0,e2)
| ~ spl34_102 ),
inference(avatar_component_clause,[],[f858]) ).
fof(f858,plain,
( spl34_102
<=> e1 = op(e0,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_102])]) ).
fof(f3607,plain,
( e1 != op(e0,e2)
| ~ spl34_168 ),
inference(forward_demodulation,[],[f363,f1155]) ).
fof(f1155,plain,
( e1 = op(e0,e3)
| ~ spl34_168 ),
inference(avatar_component_clause,[],[f1153]) ).
fof(f363,plain,
op(e0,e2) != op(e0,e3),
inference(cnf_transformation,[],[f4]) ).
fof(f3604,plain,
( ~ spl34_73
| ~ spl34_168 ),
inference(avatar_split_clause,[],[f3602,f1153,f731]) ).
fof(f731,plain,
( spl34_73
<=> e1 = op(e4,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_73])]) ).
fof(f3602,plain,
( e1 != op(e4,e3)
| ~ spl34_168 ),
inference(backward_demodulation,[],[f310,f1155]) ).
fof(f310,plain,
op(e0,e3) != op(e4,e3),
inference(cnf_transformation,[],[f4]) ).
fof(f3584,plain,
( ~ spl34_3
| spl34_68
| ~ spl34_92 ),
inference(avatar_contradiction_clause,[],[f3583]) ).
fof(f3583,plain,
( $false
| ~ spl34_3
| spl34_68
| ~ spl34_92 ),
inference(subsumption_resolution,[],[f3582,f710]) ).
fof(f710,plain,
( e3 != op(e1,e4)
| spl34_68 ),
inference(avatar_component_clause,[],[f709]) ).
fof(f709,plain,
( spl34_68
<=> e3 = op(e1,e4) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_68])]) ).
fof(f3582,plain,
( e3 = op(e1,e4)
| ~ spl34_3
| ~ spl34_92 ),
inference(forward_demodulation,[],[f816,f430]) ).
fof(f816,plain,
( e3 = op(op(e3,e4),e4)
| ~ spl34_92 ),
inference(avatar_component_clause,[],[f814]) ).
fof(f814,plain,
( spl34_92
<=> e3 = op(op(e3,e4),e4) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_92])]) ).
fof(f3551,plain,
( ~ spl34_3
| spl34_216
| ~ spl34_256 ),
inference(avatar_contradiction_clause,[],[f3550]) ).
fof(f3550,plain,
( $false
| ~ spl34_3
| spl34_216
| ~ spl34_256 ),
inference(subsumption_resolution,[],[f3549,f1403]) ).
fof(f1403,plain,
( e3 != op(e4,e1)
| spl34_216 ),
inference(avatar_component_clause,[],[f1402]) ).
fof(f3549,plain,
( e3 = op(e4,e1)
| ~ spl34_3
| ~ spl34_256 ),
inference(forward_demodulation,[],[f1626,f430]) ).
fof(f1626,plain,
( e3 = op(e4,op(e3,e4))
| ~ spl34_256 ),
inference(avatar_component_clause,[],[f1624]) ).
fof(f1624,plain,
( spl34_256
<=> e3 = op(e4,op(e3,e4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_256])]) ).
fof(f3515,plain,
( ~ spl34_235
| ~ spl34_73 ),
inference(avatar_split_clause,[],[f3514,f731,f1508]) ).
fof(f3514,plain,
( e1 != op(e4,e2)
| ~ spl34_73 ),
inference(forward_demodulation,[],[f372,f733]) ).
fof(f733,plain,
( e1 = op(e4,e3)
| ~ spl34_73 ),
inference(avatar_component_clause,[],[f731]) ).
fof(f372,plain,
op(e4,e2) != op(e4,e3),
inference(cnf_transformation,[],[f4]) ).
fof(f3512,plain,
( ~ spl34_112
| ~ spl34_128
| spl34_185 ),
inference(avatar_contradiction_clause,[],[f3511]) ).
fof(f3511,plain,
( $false
| ~ spl34_112
| ~ spl34_128
| spl34_185 ),
inference(subsumption_resolution,[],[f3510,f1241]) ).
fof(f3510,plain,
( e2 = e3
| ~ spl34_112
| ~ spl34_128 ),
inference(backward_demodulation,[],[f976,f903]) ).
fof(f903,plain,
( e2 = op(e4,e0)
| ~ spl34_112 ),
inference(avatar_component_clause,[],[f901]) ).
fof(f901,plain,
( spl34_112
<=> e2 = op(e4,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_112])]) ).
fof(f3507,plain,
( ~ spl34_203
| ~ spl34_69
| spl34_160 ),
inference(avatar_split_clause,[],[f3506,f1114,f713,f1331]) ).
fof(f1331,plain,
( spl34_203
<=> e3 = op(e4,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_203])]) ).
fof(f3506,plain,
( e3 != op(e4,e2)
| ~ spl34_69
| spl34_160 ),
inference(forward_demodulation,[],[f1116,f715]) ).
fof(f1116,plain,
( op(e2,e4) != op(e4,e2)
| spl34_160 ),
inference(avatar_component_clause,[],[f1114]) ).
fof(f3489,plain,
( spl34_80
| ~ spl34_254 ),
inference(avatar_split_clause,[],[f3115,f1611,f761]) ).
fof(f761,plain,
( spl34_80
<=> e3 = op(e1,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_80])]) ).
fof(f1611,plain,
( spl34_254
<=> e1 = unit ),
introduced(avatar_definition,[new_symbols(naming,[spl34_254])]) ).
fof(f3115,plain,
( e3 = op(e1,e3)
| ~ spl34_254 ),
inference(forward_demodulation,[],[f220,f1613]) ).
fof(f1613,plain,
( e1 = unit
| ~ spl34_254 ),
inference(avatar_component_clause,[],[f1611]) ).
fof(f3460,plain,
( ~ spl34_73
| ~ spl34_75 ),
inference(avatar_contradiction_clause,[],[f3459]) ).
fof(f3459,plain,
( $false
| ~ spl34_73
| ~ spl34_75 ),
inference(subsumption_resolution,[],[f3458,f231]) ).
fof(f3458,plain,
( e1 = e2
| ~ spl34_73
| ~ spl34_75 ),
inference(backward_demodulation,[],[f741,f733]) ).
fof(f3419,plain,
( ~ spl34_49
| ~ spl34_97 ),
inference(avatar_contradiction_clause,[],[f3418]) ).
fof(f3418,plain,
( $false
| ~ spl34_49
| ~ spl34_97 ),
inference(subsumption_resolution,[],[f2215,f628]) ).
fof(f628,plain,
( e0 = op(e4,e0)
| ~ spl34_49 ),
inference(avatar_component_clause,[],[f626]) ).
fof(f626,plain,
( spl34_49
<=> e0 = op(e4,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_49])]) ).
fof(f2215,plain,
( e0 != op(e4,e0)
| ~ spl34_97 ),
inference(forward_demodulation,[],[f323,f838]) ).
fof(f838,plain,
( e0 = op(e4,e4)
| ~ spl34_97 ),
inference(avatar_component_clause,[],[f836]) ).
fof(f836,plain,
( spl34_97
<=> e0 = op(e4,e4) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_97])]) ).
fof(f323,plain,
op(e4,e0) != op(e4,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f3371,plain,
( ~ spl34_22
| ~ spl34_20 ),
inference(avatar_split_clause,[],[f3229,f501,f509]) ).
fof(f509,plain,
( spl34_22
<=> op(e0,e0) = e2 ),
introduced(avatar_definition,[new_symbols(naming,[spl34_22])]) ).
fof(f501,plain,
( spl34_20
<=> e2 = op(e0,e4) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_20])]) ).
fof(f3229,plain,
( op(e0,e0) != e2
| ~ spl34_20 ),
inference(forward_demodulation,[],[f325,f503]) ).
fof(f503,plain,
( e2 = op(e0,e4)
| ~ spl34_20 ),
inference(avatar_component_clause,[],[f501]) ).
fof(f325,plain,
op(e0,e0) != op(e0,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f3350,plain,
( ~ spl34_128
| ~ spl34_168
| ~ spl34_193 ),
inference(avatar_contradiction_clause,[],[f3349]) ).
fof(f3349,plain,
( $false
| ~ spl34_128
| ~ spl34_168
| ~ spl34_193 ),
inference(subsumption_resolution,[],[f3348,f227]) ).
fof(f227,plain,
e1 != e4,
inference(cnf_transformation,[],[f5]) ).
fof(f3348,plain,
( e1 = e4
| ~ spl34_128
| ~ spl34_168
| ~ spl34_193 ),
inference(forward_demodulation,[],[f3347,f1155]) ).
fof(f3347,plain,
( e4 = op(e0,e3)
| ~ spl34_128
| ~ spl34_193 ),
inference(forward_demodulation,[],[f1280,f976]) ).
fof(f1280,plain,
( e4 = op(e0,op(e4,e0))
| ~ spl34_193 ),
inference(avatar_component_clause,[],[f1278]) ).
fof(f1278,plain,
( spl34_193
<=> e4 = op(e0,op(e4,e0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_193])]) ).
fof(f3316,plain,
( spl34_18
| ~ spl34_80
| ~ spl34_215 ),
inference(avatar_contradiction_clause,[],[f3315]) ).
fof(f3315,plain,
( $false
| spl34_18
| ~ spl34_80
| ~ spl34_215 ),
inference(subsumption_resolution,[],[f3313,f763]) ).
fof(f763,plain,
( e3 = op(e1,e3)
| ~ spl34_80 ),
inference(avatar_component_clause,[],[f761]) ).
fof(f3313,plain,
( e3 != op(e1,e3)
| spl34_18
| ~ spl34_215 ),
inference(backward_demodulation,[],[f493,f1400]) ).
fof(f493,plain,
( e3 != op(e1,op(e3,e1))
| spl34_18 ),
inference(avatar_component_clause,[],[f492]) ).
fof(f492,plain,
( spl34_18
<=> e3 = op(e1,op(e3,e1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_18])]) ).
fof(f3253,plain,
( ~ spl34_21
| ~ spl34_151 ),
inference(avatar_contradiction_clause,[],[f3252]) ).
fof(f3252,plain,
( $false
| ~ spl34_21
| ~ spl34_151 ),
inference(subsumption_resolution,[],[f2765,f1075]) ).
fof(f1075,plain,
( e2 = op(e1,e2)
| ~ spl34_151 ),
inference(avatar_component_clause,[],[f1073]) ).
fof(f1073,plain,
( spl34_151
<=> e2 = op(e1,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_151])]) ).
fof(f2765,plain,
( e2 != op(e1,e2)
| ~ spl34_21 ),
inference(forward_demodulation,[],[f328,f507]) ).
fof(f328,plain,
op(e0,e2) != op(e1,e2),
inference(cnf_transformation,[],[f4]) ).
fof(f3241,plain,
( ~ spl34_62
| ~ spl34_105
| ~ spl34_204 ),
inference(avatar_contradiction_clause,[],[f3240]) ).
fof(f3240,plain,
( $false
| ~ spl34_62
| ~ spl34_105
| ~ spl34_204 ),
inference(subsumption_resolution,[],[f3239,f232]) ).
fof(f232,plain,
e0 != e2,
inference(cnf_transformation,[],[f5]) ).
fof(f3239,plain,
( e0 = e2
| ~ spl34_62
| ~ spl34_105
| ~ spl34_204 ),
inference(forward_demodulation,[],[f3238,f683]) ).
fof(f683,plain,
( e0 = op(e0,e1)
| ~ spl34_62 ),
inference(avatar_component_clause,[],[f681]) ).
fof(f681,plain,
( spl34_62
<=> e0 = op(e0,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_62])]) ).
fof(f3238,plain,
( e2 = op(e0,e1)
| ~ spl34_105
| ~ spl34_204 ),
inference(forward_demodulation,[],[f873,f1341]) ).
fof(f1341,plain,
( e1 = op(e2,e0)
| ~ spl34_204 ),
inference(avatar_component_clause,[],[f1339]) ).
fof(f1339,plain,
( spl34_204
<=> e1 = op(e2,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_204])]) ).
fof(f873,plain,
( e2 = op(e0,op(e2,e0))
| ~ spl34_105 ),
inference(avatar_component_clause,[],[f871]) ).
fof(f871,plain,
( spl34_105
<=> e2 = op(e0,op(e2,e0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_105])]) ).
fof(f3225,plain,
( ~ spl34_77
| ~ spl34_224 ),
inference(avatar_split_clause,[],[f3224,f1447,f747]) ).
fof(f747,plain,
( spl34_77
<=> e4 = op(e4,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_77])]) ).
fof(f1447,plain,
( spl34_224
<=> e4 = op(e4,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_224])]) ).
fof(f3224,plain,
( e4 != op(e4,e3)
| ~ spl34_224 ),
inference(forward_demodulation,[],[f324,f1449]) ).
fof(f1449,plain,
( e4 = op(e4,e1)
| ~ spl34_224 ),
inference(avatar_component_clause,[],[f1447]) ).
fof(f324,plain,
op(e4,e1) != op(e4,e3),
inference(cnf_transformation,[],[f4]) ).
fof(f3214,plain,
( spl34_215
| ~ spl34_254 ),
inference(avatar_split_clause,[],[f3122,f1611,f1398]) ).
fof(f3122,plain,
( e3 = op(e3,e1)
| ~ spl34_254 ),
inference(forward_demodulation,[],[f223,f1613]) ).
fof(f3208,plain,
( ~ spl34_21
| ~ spl34_103
| spl34_185 ),
inference(avatar_contradiction_clause,[],[f3207]) ).
fof(f3207,plain,
( $false
| ~ spl34_21
| ~ spl34_103
| spl34_185 ),
inference(subsumption_resolution,[],[f3206,f1241]) ).
fof(f3206,plain,
( e2 = e3
| ~ spl34_21
| ~ spl34_103 ),
inference(forward_demodulation,[],[f864,f507]) ).
fof(f864,plain,
( e3 = op(e0,e2)
| ~ spl34_103 ),
inference(avatar_component_clause,[],[f862]) ).
fof(f862,plain,
( spl34_103
<=> e3 = op(e0,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_103])]) ).
fof(f3187,plain,
( ~ spl34_20
| ~ spl34_21 ),
inference(avatar_split_clause,[],[f3186,f505,f501]) ).
fof(f3186,plain,
( e2 != op(e0,e4)
| ~ spl34_21 ),
inference(forward_demodulation,[],[f333,f507]) ).
fof(f333,plain,
op(e0,e2) != op(e0,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f3180,plain,
( spl34_38
| ~ spl34_254 ),
inference(avatar_split_clause,[],[f3099,f1611,f578]) ).
fof(f578,plain,
( spl34_38
<=> e0 = op(e1,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_38])]) ).
fof(f3099,plain,
( e0 = op(e1,e0)
| ~ spl34_254 ),
inference(forward_demodulation,[],[f222,f1613]) ).
fof(f222,plain,
e0 = op(unit,e0),
inference(cnf_transformation,[],[f2]) ).
fof(f3144,plain,
( spl34_62
| ~ spl34_254 ),
inference(avatar_contradiction_clause,[],[f3143]) ).
fof(f3143,plain,
( $false
| spl34_62
| ~ spl34_254 ),
inference(subsumption_resolution,[],[f3142,f682]) ).
fof(f682,plain,
( e0 != op(e0,e1)
| spl34_62 ),
inference(avatar_component_clause,[],[f681]) ).
fof(f3142,plain,
( e0 = op(e0,e1)
| ~ spl34_254 ),
inference(forward_demodulation,[],[f215,f1613]) ).
fof(f215,plain,
e0 = op(e0,unit),
inference(cnf_transformation,[],[f2]) ).
fof(f3119,plain,
( ~ spl34_195
| ~ spl34_254 ),
inference(avatar_contradiction_clause,[],[f3118]) ).
fof(f3118,plain,
( $false
| ~ spl34_195
| ~ spl34_254 ),
inference(subsumption_resolution,[],[f3117,f230]) ).
fof(f230,plain,
e2 != e4,
inference(cnf_transformation,[],[f5]) ).
fof(f3117,plain,
( e2 = e4
| ~ spl34_195
| ~ spl34_254 ),
inference(forward_demodulation,[],[f3116,f1290]) ).
fof(f3116,plain,
( e4 = op(e1,e4)
| ~ spl34_254 ),
inference(forward_demodulation,[],[f221,f1613]) ).
fof(f221,plain,
e4 = op(unit,e4),
inference(cnf_transformation,[],[f2]) ).
fof(f3107,plain,
( ~ spl34_110
| ~ spl34_204 ),
inference(avatar_contradiction_clause,[],[f3106]) ).
fof(f3106,plain,
( $false
| ~ spl34_110
| ~ spl34_204 ),
inference(subsumption_resolution,[],[f3105,f231]) ).
fof(f3105,plain,
( e1 = e2
| ~ spl34_110
| ~ spl34_204 ),
inference(backward_demodulation,[],[f895,f1341]) ).
fof(f3098,plain,
( ~ spl34_112
| ~ spl34_110 ),
inference(avatar_split_clause,[],[f3097,f893,f901]) ).
fof(f3097,plain,
( e2 != op(e4,e0)
| ~ spl34_110 ),
inference(forward_demodulation,[],[f364,f895]) ).
fof(f364,plain,
op(e2,e0) != op(e4,e0),
inference(cnf_transformation,[],[f4]) ).
fof(f3069,plain,
( spl34_151
| ~ spl34_254 ),
inference(avatar_split_clause,[],[f3068,f1611,f1073]) ).
fof(f3068,plain,
( e2 = op(e1,e2)
| ~ spl34_254 ),
inference(forward_demodulation,[],[f218,f1613]) ).
fof(f3058,plain,
( ~ spl34_61
| ~ spl34_155 ),
inference(avatar_split_clause,[],[f3052,f1090,f677]) ).
fof(f1090,plain,
( spl34_155
<=> e0 = op(e2,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_155])]) ).
fof(f3052,plain,
( e0 != op(e2,e1)
| ~ spl34_155 ),
inference(backward_demodulation,[],[f309,f1092]) ).
fof(f1092,plain,
( e0 = op(e2,e3)
| ~ spl34_155 ),
inference(avatar_component_clause,[],[f1090]) ).
fof(f309,plain,
op(e2,e1) != op(e2,e3),
inference(cnf_transformation,[],[f4]) ).
fof(f3038,plain,
( spl34_224
| ~ spl34_254 ),
inference(avatar_split_clause,[],[f3037,f1611,f1447]) ).
fof(f3037,plain,
( e4 = op(e4,e1)
| ~ spl34_254 ),
inference(forward_demodulation,[],[f216,f1613]) ).
fof(f3027,plain,
( spl34_146
| ~ spl34_254 ),
inference(avatar_split_clause,[],[f3026,f1611,f1050]) ).
fof(f3026,plain,
( e2 = op(e2,e1)
| ~ spl34_254 ),
inference(forward_demodulation,[],[f224,f1613]) ).
fof(f224,plain,
e2 = op(e2,unit),
inference(cnf_transformation,[],[f2]) ).
fof(f3023,plain,
( ~ spl34_76
| ~ spl34_80 ),
inference(avatar_split_clause,[],[f2781,f761,f743]) ).
fof(f743,plain,
( spl34_76
<=> e3 = op(e4,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_76])]) ).
fof(f2781,plain,
( e3 != op(e4,e3)
| ~ spl34_80 ),
inference(forward_demodulation,[],[f366,f763]) ).
fof(f366,plain,
op(e1,e3) != op(e4,e3),
inference(cnf_transformation,[],[f4]) ).
fof(f3019,plain,
( ~ spl34_32
| ~ spl34_79
| ~ spl34_169 ),
inference(avatar_contradiction_clause,[],[f3018]) ).
fof(f3018,plain,
( $false
| ~ spl34_32
| ~ spl34_79
| ~ spl34_169 ),
inference(subsumption_resolution,[],[f3017,f232]) ).
fof(f3017,plain,
( e0 = e2
| ~ spl34_32
| ~ spl34_79
| ~ spl34_169 ),
inference(forward_demodulation,[],[f3016,f759]) ).
fof(f3016,plain,
( e2 = op(e1,e3)
| ~ spl34_32
| ~ spl34_169 ),
inference(forward_demodulation,[],[f554,f1159]) ).
fof(f554,plain,
( e2 = op(op(e2,e3),e3)
| ~ spl34_32 ),
inference(avatar_component_clause,[],[f552]) ).
fof(f552,plain,
( spl34_32
<=> e2 = op(op(e2,e3),e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_32])]) ).
fof(f2999,plain,
( spl34_110
| ~ spl34_253 ),
inference(avatar_split_clause,[],[f2815,f1607,f893]) ).
fof(f2815,plain,
( e2 = op(e2,e0)
| ~ spl34_253 ),
inference(backward_demodulation,[],[f224,f1609]) ).
fof(f2993,plain,
( ~ spl34_204
| ~ spl34_169 ),
inference(avatar_split_clause,[],[f2984,f1157,f1339]) ).
fof(f2984,plain,
( e1 != op(e2,e0)
| ~ spl34_169 ),
inference(backward_demodulation,[],[f373,f1159]) ).
fof(f373,plain,
op(e2,e0) != op(e2,e3),
inference(cnf_transformation,[],[f4]) ).
fof(f2967,plain,
( ~ spl34_74
| ~ spl34_97 ),
inference(avatar_contradiction_clause,[],[f2966]) ).
fof(f2966,plain,
( $false
| ~ spl34_74
| ~ spl34_97 ),
inference(subsumption_resolution,[],[f2572,f737]) ).
fof(f737,plain,
( e0 = op(e4,e3)
| ~ spl34_74 ),
inference(avatar_component_clause,[],[f735]) ).
fof(f735,plain,
( spl34_74
<=> e0 = op(e4,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_74])]) ).
fof(f2572,plain,
( e0 != op(e4,e3)
| ~ spl34_97 ),
inference(forward_demodulation,[],[f382,f838]) ).
fof(f382,plain,
op(e4,e3) != op(e4,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f2954,plain,
( spl34_39
| ~ spl34_253 ),
inference(avatar_split_clause,[],[f2810,f1607,f582]) ).
fof(f2810,plain,
( e1 = op(e1,e0)
| ~ spl34_253 ),
inference(backward_demodulation,[],[f219,f1609]) ).
fof(f219,plain,
e1 = op(e1,unit),
inference(cnf_transformation,[],[f2]) ).
fof(f2946,plain,
( ~ spl34_130
| ~ spl34_253 ),
inference(avatar_contradiction_clause,[],[f2945]) ).
fof(f2945,plain,
( $false
| ~ spl34_130
| ~ spl34_253 ),
inference(subsumption_resolution,[],[f2944,f227]) ).
fof(f2944,plain,
( e1 = e4
| ~ spl34_130
| ~ spl34_253 ),
inference(forward_demodulation,[],[f2807,f984]) ).
fof(f984,plain,
( e1 = op(e4,e0)
| ~ spl34_130 ),
inference(avatar_component_clause,[],[f982]) ).
fof(f982,plain,
( spl34_130
<=> e1 = op(e4,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_130])]) ).
fof(f2807,plain,
( e4 = op(e4,e0)
| ~ spl34_253 ),
inference(backward_demodulation,[],[f216,f1609]) ).
fof(f2882,plain,
( ~ spl34_174
| ~ spl34_196 ),
inference(avatar_split_clause,[],[f2881,f1293,f1182]) ).
fof(f1182,plain,
( spl34_174
<=> e4 = op(e1,e4) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_174])]) ).
fof(f2881,plain,
( e4 != op(e1,e4)
| ~ spl34_196 ),
inference(forward_demodulation,[],[f356,f1295]) ).
fof(f356,plain,
op(e0,e4) != op(e1,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f2827,plain,
( ~ spl34_165
| ~ spl34_253 ),
inference(avatar_contradiction_clause,[],[f2826]) ).
fof(f2826,plain,
( $false
| ~ spl34_165
| ~ spl34_253 ),
inference(subsumption_resolution,[],[f2825,f234]) ).
fof(f2825,plain,
( e0 = e3
| ~ spl34_165
| ~ spl34_253 ),
inference(forward_demodulation,[],[f2811,f1139]) ).
fof(f1139,plain,
( e0 = op(e0,e3)
| ~ spl34_165 ),
inference(avatar_component_clause,[],[f1137]) ).
fof(f1137,plain,
( spl34_165
<=> e0 = op(e0,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_165])]) ).
fof(f2811,plain,
( e3 = op(e0,e3)
| ~ spl34_253 ),
inference(backward_demodulation,[],[f220,f1609]) ).
fof(f2780,plain,
( ~ spl34_38
| spl34_106 ),
inference(avatar_contradiction_clause,[],[f2779]) ).
fof(f2779,plain,
( $false
| ~ spl34_38
| spl34_106 ),
inference(subsumption_resolution,[],[f2778,f580]) ).
fof(f580,plain,
( e0 = op(e1,e0)
| ~ spl34_38 ),
inference(avatar_component_clause,[],[f578]) ).
fof(f2778,plain,
( e0 != op(e1,e0)
| ~ spl34_38
| spl34_106 ),
inference(forward_demodulation,[],[f877,f580]) ).
fof(f877,plain,
( e0 != op(e1,op(e1,e0))
| spl34_106 ),
inference(avatar_component_clause,[],[f875]) ).
fof(f875,plain,
( spl34_106
<=> e0 = op(e1,op(e1,e0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_106])]) ).
fof(f2771,plain,
( ~ spl34_127
| ~ spl34_124 ),
inference(avatar_split_clause,[],[f2770,f956,f968]) ).
fof(f968,plain,
( spl34_127
<=> e4 = op(e2,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_127])]) ).
fof(f956,plain,
( spl34_124
<=> e4 = op(e2,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_124])]) ).
fof(f2770,plain,
( e4 != op(e2,e2)
| ~ spl34_124 ),
inference(backward_demodulation,[],[f374,f958]) ).
fof(f958,plain,
( e4 = op(e2,e0)
| ~ spl34_124 ),
inference(avatar_component_clause,[],[f956]) ).
fof(f374,plain,
op(e2,e0) != op(e2,e2),
inference(cnf_transformation,[],[f4]) ).
fof(f2718,plain,
( ~ spl34_97
| ~ spl34_109
| ~ spl34_174 ),
inference(avatar_contradiction_clause,[],[f2717]) ).
fof(f2717,plain,
( $false
| ~ spl34_97
| ~ spl34_109
| ~ spl34_174 ),
inference(subsumption_resolution,[],[f2716,f228]) ).
fof(f228,plain,
e0 != e1,
inference(cnf_transformation,[],[f5]) ).
fof(f2716,plain,
( e0 = e1
| ~ spl34_97
| ~ spl34_109
| ~ spl34_174 ),
inference(forward_demodulation,[],[f2715,f838]) ).
fof(f2715,plain,
( e1 = op(e4,e4)
| ~ spl34_109
| ~ spl34_174 ),
inference(forward_demodulation,[],[f890,f1184]) ).
fof(f1184,plain,
( e4 = op(e1,e4)
| ~ spl34_174 ),
inference(avatar_component_clause,[],[f1182]) ).
fof(f890,plain,
( e1 = op(e4,op(e1,e4))
| ~ spl34_109 ),
inference(avatar_component_clause,[],[f888]) ).
fof(f888,plain,
( spl34_109
<=> e1 = op(e4,op(e1,e4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_109])]) ).
fof(f2714,plain,
( ~ spl34_18
| spl34_36
| ~ spl34_58 ),
inference(avatar_contradiction_clause,[],[f2713]) ).
fof(f2713,plain,
( $false
| ~ spl34_18
| spl34_36
| ~ spl34_58 ),
inference(subsumption_resolution,[],[f2602,f571]) ).
fof(f571,plain,
( e3 != op(e1,e0)
| spl34_36 ),
inference(avatar_component_clause,[],[f570]) ).
fof(f570,plain,
( spl34_36
<=> e3 = op(e1,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_36])]) ).
fof(f2602,plain,
( e3 = op(e1,e0)
| ~ spl34_18
| ~ spl34_58 ),
inference(backward_demodulation,[],[f494,f667]) ).
fof(f667,plain,
( e0 = op(e3,e1)
| ~ spl34_58 ),
inference(avatar_component_clause,[],[f665]) ).
fof(f665,plain,
( spl34_58
<=> e0 = op(e3,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_58])]) ).
fof(f494,plain,
( e3 = op(e1,op(e3,e1))
| ~ spl34_18 ),
inference(avatar_component_clause,[],[f492]) ).
fof(f2712,plain,
( ~ spl34_77
| ~ spl34_129 ),
inference(avatar_split_clause,[],[f2711,f978,f747]) ).
fof(f2711,plain,
( e4 != op(e4,e3)
| ~ spl34_129 ),
inference(forward_demodulation,[],[f360,f980]) ).
fof(f360,plain,
op(e4,e0) != op(e4,e3),
inference(cnf_transformation,[],[f4]) ).
fof(f2695,plain,
( ~ spl34_70
| ~ spl34_69 ),
inference(avatar_split_clause,[],[f2421,f713,f717]) ).
fof(f717,plain,
( spl34_70
<=> e3 = op(e0,e4) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_70])]) ).
fof(f2421,plain,
( e3 != op(e0,e4)
| ~ spl34_69 ),
inference(forward_demodulation,[],[f380,f715]) ).
fof(f380,plain,
op(e0,e4) != op(e2,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f2688,plain,
( ~ spl34_103
| ~ spl34_203 ),
inference(avatar_split_clause,[],[f2687,f1331,f862]) ).
fof(f2687,plain,
( e3 != op(e0,e2)
| ~ spl34_203 ),
inference(forward_demodulation,[],[f334,f1333]) ).
fof(f1333,plain,
( e3 = op(e4,e2)
| ~ spl34_203 ),
inference(avatar_component_clause,[],[f1331]) ).
fof(f334,plain,
op(e0,e2) != op(e4,e2),
inference(cnf_transformation,[],[f4]) ).
fof(f2681,plain,
( ~ spl34_75
| ~ spl34_158 ),
inference(avatar_split_clause,[],[f2680,f1103,f739]) ).
fof(f1103,plain,
( spl34_158
<=> e2 = op(e4,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_158])]) ).
fof(f2680,plain,
( e2 != op(e4,e3)
| ~ spl34_158 ),
inference(forward_demodulation,[],[f324,f1105]) ).
fof(f1105,plain,
( e2 = op(e4,e1)
| ~ spl34_158 ),
inference(avatar_component_clause,[],[f1103]) ).
fof(f2584,plain,
( ~ spl34_127
| ~ spl34_162 ),
inference(avatar_contradiction_clause,[],[f2583]) ).
fof(f2583,plain,
( $false
| ~ spl34_127
| ~ spl34_162 ),
inference(subsumption_resolution,[],[f2582,f227]) ).
fof(f2582,plain,
( e1 = e4
| ~ spl34_127
| ~ spl34_162 ),
inference(backward_demodulation,[],[f970,f1125]) ).
fof(f1125,plain,
( e1 = op(e2,e2)
| ~ spl34_162 ),
inference(avatar_component_clause,[],[f1123]) ).
fof(f1123,plain,
( spl34_162
<=> e1 = op(e2,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_162])]) ).
fof(f970,plain,
( e4 = op(e2,e2)
| ~ spl34_127 ),
inference(avatar_component_clause,[],[f968]) ).
fof(f2571,plain,
( ~ spl34_80
| ~ spl34_83 ),
inference(avatar_contradiction_clause,[],[f2570]) ).
fof(f2570,plain,
( $false
| ~ spl34_80
| ~ spl34_83 ),
inference(subsumption_resolution,[],[f2569,f233]) ).
fof(f233,plain,
e1 != e3,
inference(cnf_transformation,[],[f5]) ).
fof(f2569,plain,
( e1 = e3
| ~ spl34_80
| ~ spl34_83 ),
inference(forward_demodulation,[],[f763,f775]) ).
fof(f775,plain,
( e1 = op(e1,e3)
| ~ spl34_83 ),
inference(avatar_component_clause,[],[f773]) ).
fof(f773,plain,
( spl34_83
<=> e1 = op(e1,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_83])]) ).
fof(f2562,plain,
( ~ spl34_170
| ~ spl34_3 ),
inference(avatar_split_clause,[],[f2561,f428,f1161]) ).
fof(f1161,plain,
( spl34_170
<=> e1 = op(e3,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_170])]) ).
fof(f2561,plain,
( e1 != op(e3,e3)
| ~ spl34_3 ),
inference(forward_demodulation,[],[f371,f430]) ).
fof(f371,plain,
op(e3,e3) != op(e3,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f2559,plain,
( ~ spl34_116
| ~ spl34_3 ),
inference(avatar_split_clause,[],[f2558,f428,f921]) ).
fof(f921,plain,
( spl34_116
<=> e1 = op(e0,e4) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_116])]) ).
fof(f2558,plain,
( e1 != op(e0,e4)
| ~ spl34_3 ),
inference(forward_demodulation,[],[f297,f430]) ).
fof(f297,plain,
op(e0,e4) != op(e3,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f2525,plain,
( ~ spl34_96
| ~ spl34_97 ),
inference(avatar_split_clause,[],[f2231,f836,f832]) ).
fof(f832,plain,
( spl34_96
<=> e0 = op(e1,e4) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_96])]) ).
fof(f2231,plain,
( e0 != op(e1,e4)
| ~ spl34_97 ),
inference(forward_demodulation,[],[f311,f838]) ).
fof(f311,plain,
op(e1,e4) != op(e4,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f2517,plain,
( ~ spl34_210
| ~ spl34_202 ),
inference(avatar_split_clause,[],[f2516,f1327,f1371]) ).
fof(f1327,plain,
( spl34_202
<=> e3 = op(e3,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_202])]) ).
fof(f2516,plain,
( e3 != op(e3,e0)
| ~ spl34_202 ),
inference(forward_demodulation,[],[f318,f1329]) ).
fof(f1329,plain,
( e3 = op(e3,e2)
| ~ spl34_202 ),
inference(avatar_component_clause,[],[f1327]) ).
fof(f318,plain,
op(e3,e0) != op(e3,e2),
inference(cnf_transformation,[],[f4]) ).
fof(f2486,plain,
( ~ spl34_3
| ~ spl34_252 ),
inference(avatar_contradiction_clause,[],[f2485]) ).
fof(f2485,plain,
( $false
| ~ spl34_3
| ~ spl34_252 ),
inference(subsumption_resolution,[],[f2484,f227]) ).
fof(f2484,plain,
( e1 = e4
| ~ spl34_3
| ~ spl34_252 ),
inference(forward_demodulation,[],[f2482,f430]) ).
fof(f2482,plain,
( e4 = op(e3,e4)
| ~ spl34_252 ),
inference(backward_demodulation,[],[f221,f1605]) ).
fof(f1605,plain,
( e3 = unit
| ~ spl34_252 ),
inference(avatar_component_clause,[],[f1603]) ).
fof(f1603,plain,
( spl34_252
<=> e3 = unit ),
introduced(avatar_definition,[new_symbols(naming,[spl34_252])]) ).
fof(f2479,plain,
( ~ spl34_118
| ~ spl34_3 ),
inference(avatar_split_clause,[],[f2478,f428,f929]) ).
fof(f929,plain,
( spl34_118
<=> e1 = op(e1,e4) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_118])]) ).
fof(f2478,plain,
( e1 != op(e1,e4)
| ~ spl34_3 ),
inference(backward_demodulation,[],[f317,f430]) ).
fof(f317,plain,
op(e1,e4) != op(e3,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f2467,plain,
( ~ spl34_187
| ~ spl34_127 ),
inference(avatar_split_clause,[],[f2466,f968,f1249]) ).
fof(f1249,plain,
( spl34_187
<=> e4 = op(e4,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_187])]) ).
fof(f2466,plain,
( e4 != op(e4,e2)
| ~ spl34_127 ),
inference(forward_demodulation,[],[f320,f970]) ).
fof(f320,plain,
op(e2,e2) != op(e4,e2),
inference(cnf_transformation,[],[f4]) ).
fof(f2462,plain,
( ~ spl34_95
| ~ spl34_97 ),
inference(avatar_split_clause,[],[f2461,f836,f828]) ).
fof(f828,plain,
( spl34_95
<=> e0 = op(e0,e4) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_95])]) ).
fof(f2461,plain,
( e0 != op(e0,e4)
| ~ spl34_97 ),
inference(forward_demodulation,[],[f347,f838]) ).
fof(f347,plain,
op(e0,e4) != op(e4,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f2453,plain,
( ~ spl34_97
| ~ spl34_251 ),
inference(avatar_contradiction_clause,[],[f2452]) ).
fof(f2452,plain,
( $false
| ~ spl34_97
| ~ spl34_251 ),
inference(subsumption_resolution,[],[f2451,f225]) ).
fof(f225,plain,
e0 != e4,
inference(cnf_transformation,[],[f5]) ).
fof(f2451,plain,
( e0 = e4
| ~ spl34_97
| ~ spl34_251 ),
inference(forward_demodulation,[],[f2434,f838]) ).
fof(f2434,plain,
( e4 = op(e4,e4)
| ~ spl34_251 ),
inference(backward_demodulation,[],[f216,f1601]) ).
fof(f1601,plain,
( e4 = unit
| ~ spl34_251 ),
inference(avatar_component_clause,[],[f1599]) ).
fof(f1599,plain,
( spl34_251
<=> e4 = unit ),
introduced(avatar_definition,[new_symbols(naming,[spl34_251])]) ).
fof(f2363,plain,
( ~ spl34_36
| ~ spl34_128 ),
inference(avatar_contradiction_clause,[],[f2362]) ).
fof(f2362,plain,
( $false
| ~ spl34_36
| ~ spl34_128 ),
inference(subsumption_resolution,[],[f2361,f572]) ).
fof(f572,plain,
( e3 = op(e1,e0)
| ~ spl34_36 ),
inference(avatar_component_clause,[],[f570]) ).
fof(f2361,plain,
( e3 != op(e1,e0)
| ~ spl34_128 ),
inference(forward_demodulation,[],[f314,f976]) ).
fof(f314,plain,
op(e1,e0) != op(e4,e0),
inference(cnf_transformation,[],[f4]) ).
fof(f2290,plain,
( ~ spl34_249
| ~ spl34_76 ),
inference(avatar_split_clause,[],[f2289,f743,f1590]) ).
fof(f2289,plain,
( e3 != op(e0,e3)
| ~ spl34_76 ),
inference(backward_demodulation,[],[f310,f745]) ).
fof(f745,plain,
( e3 = op(e4,e3)
| ~ spl34_76 ),
inference(avatar_component_clause,[],[f743]) ).
fof(f2283,plain,
( ~ spl34_219
| ~ spl34_184 ),
inference(avatar_split_clause,[],[f2282,f1232,f1418]) ).
fof(f1418,plain,
( spl34_219
<=> e2 = op(e3,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_219])]) ).
fof(f2282,plain,
( e2 != op(e3,e2)
| ~ spl34_184 ),
inference(forward_demodulation,[],[f329,f1234]) ).
fof(f329,plain,
op(e3,e1) != op(e3,e2),
inference(cnf_transformation,[],[f4]) ).
fof(f2278,plain,
( ~ spl34_221
| ~ spl34_69 ),
inference(avatar_split_clause,[],[f2276,f713,f1433]) ).
fof(f1433,plain,
( spl34_221
<=> e3 = op(e2,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_221])]) ).
fof(f2276,plain,
( e3 != op(e2,e3)
| ~ spl34_69 ),
inference(backward_demodulation,[],[f286,f715]) ).
fof(f286,plain,
op(e2,e3) != op(e2,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f2277,plain,
( ~ spl34_68
| ~ spl34_69 ),
inference(avatar_split_clause,[],[f2275,f713,f709]) ).
fof(f2275,plain,
( e3 != op(e1,e4)
| ~ spl34_69 ),
inference(backward_demodulation,[],[f383,f715]) ).
fof(f383,plain,
op(e1,e4) != op(e2,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f2269,plain,
( ~ spl34_76
| ~ spl34_128 ),
inference(avatar_split_clause,[],[f2268,f974,f743]) ).
fof(f2268,plain,
( e3 != op(e4,e3)
| ~ spl34_128 ),
inference(forward_demodulation,[],[f360,f976]) ).
fof(f2262,plain,
( spl34_3
| ~ spl34_127 ),
inference(avatar_split_clause,[],[f1891,f968,f428]) ).
fof(f1891,plain,
( e1 = op(e3,e4)
| ~ spl34_127 ),
inference(backward_demodulation,[],[f1175,f970]) ).
fof(f1175,plain,
e1 = op(e3,op(e2,e2)),
inference(backward_demodulation,[],[f410,f413]) ).
fof(f413,plain,
e3 = op(e2,op(e2,e2)),
inference(cnf_transformation,[],[f6]) ).
fof(f6,axiom,
( e3 = op(e2,op(e2,e2))
& e4 = op(e2,e2)
& e0 = op(op(e2,e2),op(e2,e2))
& e1 = op(op(e2,op(e2,e2)),op(e2,e2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax6) ).
fof(f410,plain,
e1 = op(op(e2,op(e2,e2)),op(e2,e2)),
inference(cnf_transformation,[],[f6]) ).
fof(f2259,plain,
( ~ spl34_62
| ~ spl34_100 ),
inference(avatar_split_clause,[],[f2258,f850,f681]) ).
fof(f850,plain,
( spl34_100
<=> e0 = op(e0,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_100])]) ).
fof(f2258,plain,
( e0 != op(e0,e1)
| ~ spl34_100 ),
inference(forward_demodulation,[],[f370,f852]) ).
fof(f852,plain,
( e0 = op(e0,e2)
| ~ spl34_100 ),
inference(avatar_component_clause,[],[f850]) ).
fof(f370,plain,
op(e0,e1) != op(e0,e2),
inference(cnf_transformation,[],[f4]) ).
fof(f2206,plain,
( ~ spl34_188
| ~ spl34_144 ),
inference(avatar_split_clause,[],[f2205,f1042,f1254]) ).
fof(f1042,plain,
( spl34_144
<=> e1 = op(e2,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_144])]) ).
fof(f2205,plain,
( e1 != op(e0,e1)
| ~ spl34_144 ),
inference(forward_demodulation,[],[f343,f1044]) ).
fof(f1044,plain,
( e1 = op(e2,e1)
| ~ spl34_144 ),
inference(avatar_component_clause,[],[f1042]) ).
fof(f343,plain,
op(e0,e1) != op(e2,e1),
inference(cnf_transformation,[],[f4]) ).
fof(f2202,plain,
( ~ spl34_175
| ~ spl34_97 ),
inference(avatar_split_clause,[],[f2201,f836,f1187]) ).
fof(f1187,plain,
( spl34_175
<=> e0 = op(e4,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_175])]) ).
fof(f2201,plain,
( e0 != op(e4,e2)
| ~ spl34_97 ),
inference(forward_demodulation,[],[f307,f838]) ).
fof(f307,plain,
op(e4,e2) != op(e4,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f2122,plain,
( ~ spl34_48
| spl34_104 ),
inference(avatar_contradiction_clause,[],[f2121]) ).
fof(f2121,plain,
( $false
| ~ spl34_48
| spl34_104 ),
inference(subsumption_resolution,[],[f2117,f624]) ).
fof(f624,plain,
( e0 = op(e3,e0)
| ~ spl34_48 ),
inference(avatar_component_clause,[],[f622]) ).
fof(f622,plain,
( spl34_48
<=> e0 = op(e3,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_48])]) ).
fof(f2117,plain,
( e0 != op(e3,e0)
| ~ spl34_48
| spl34_104 ),
inference(backward_demodulation,[],[f869,f624]) ).
fof(f869,plain,
( e0 != op(e3,op(e3,e0))
| spl34_104 ),
inference(avatar_component_clause,[],[f867]) ).
fof(f867,plain,
( spl34_104
<=> e0 = op(e3,op(e3,e0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_104])]) ).
fof(f2104,plain,
( ~ spl34_126
| ~ spl34_127 ),
inference(avatar_split_clause,[],[f2103,f968,f964]) ).
fof(f964,plain,
( spl34_126
<=> e4 = op(e2,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_126])]) ).
fof(f2103,plain,
( e4 != op(e2,e3)
| ~ spl34_127 ),
inference(forward_demodulation,[],[f287,f970]) ).
fof(f287,plain,
op(e2,e2) != op(e2,e3),
inference(cnf_transformation,[],[f4]) ).
fof(f2054,plain,
( spl34_69
| ~ spl34_127 ),
inference(avatar_contradiction_clause,[],[f2053]) ).
fof(f2053,plain,
( $false
| spl34_69
| ~ spl34_127 ),
inference(subsumption_resolution,[],[f1890,f714]) ).
fof(f714,plain,
( e3 != op(e2,e4)
| spl34_69 ),
inference(avatar_component_clause,[],[f713]) ).
fof(f1890,plain,
( e3 = op(e2,e4)
| ~ spl34_127 ),
inference(backward_demodulation,[],[f413,f970]) ).
fof(f2041,plain,
( ~ spl34_188
| ~ spl34_102 ),
inference(avatar_split_clause,[],[f2040,f858,f1254]) ).
fof(f2040,plain,
( e1 != op(e0,e1)
| ~ spl34_102 ),
inference(forward_demodulation,[],[f370,f860]) ).
fof(f2022,plain,
( ~ spl34_38
| ~ spl34_47 ),
inference(avatar_split_clause,[],[f2021,f618,f578]) ).
fof(f618,plain,
( spl34_47
<=> e0 = op(e2,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_47])]) ).
fof(f2021,plain,
( e0 != op(e1,e0)
| ~ spl34_47 ),
inference(forward_demodulation,[],[f299,f620]) ).
fof(f620,plain,
( e0 = op(e2,e0)
| ~ spl34_47 ),
inference(avatar_component_clause,[],[f618]) ).
fof(f299,plain,
op(e1,e0) != op(e2,e0),
inference(cnf_transformation,[],[f4]) ).
fof(f1969,plain,
( spl34_175
| ~ spl34_20
| ~ spl34_51 ),
inference(avatar_split_clause,[],[f1967,f635,f501,f1187]) ).
fof(f635,plain,
( spl34_51
<=> e0 = op(e4,op(e0,e4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_51])]) ).
fof(f1967,plain,
( e0 = op(e4,e2)
| ~ spl34_20
| ~ spl34_51 ),
inference(backward_demodulation,[],[f637,f503]) ).
fof(f637,plain,
( e0 = op(e4,op(e0,e4))
| ~ spl34_51 ),
inference(avatar_component_clause,[],[f635]) ).
fof(f1898,plain,
( ~ spl34_90
| ~ spl34_127 ),
inference(avatar_split_clause,[],[f1887,f968,f805]) ).
fof(f805,plain,
( spl34_90
<=> e4 = op(e3,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_90])]) ).
fof(f1887,plain,
( e4 != op(e3,e2)
| ~ spl34_127 ),
inference(backward_demodulation,[],[f359,f970]) ).
fof(f359,plain,
op(e2,e2) != op(e3,e2),
inference(cnf_transformation,[],[f4]) ).
fof(f1897,plain,
( ~ spl34_4
| ~ spl34_127 ),
inference(avatar_contradiction_clause,[],[f1896]) ).
fof(f1896,plain,
( $false
| ~ spl34_4
| ~ spl34_127 ),
inference(subsumption_resolution,[],[f1895,f228]) ).
fof(f1895,plain,
( e0 = e1
| ~ spl34_4
| ~ spl34_127 ),
inference(forward_demodulation,[],[f1891,f434]) ).
fof(f434,plain,
( e0 = op(e3,e4)
| ~ spl34_4 ),
inference(avatar_component_clause,[],[f432]) ).
fof(f432,plain,
( spl34_4
<=> e0 = op(e3,e4) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_4])]) ).
fof(f1894,plain,
( ~ spl34_125
| ~ spl34_127 ),
inference(avatar_split_clause,[],[f1886,f968,f960]) ).
fof(f960,plain,
( spl34_125
<=> e4 = op(e2,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_125])]) ).
fof(f1886,plain,
( e4 != op(e2,e1)
| ~ spl34_127 ),
inference(backward_demodulation,[],[f338,f970]) ).
fof(f338,plain,
op(e2,e1) != op(e2,e2),
inference(cnf_transformation,[],[f4]) ).
fof(f1892,plain,
( spl34_97
| ~ spl34_127 ),
inference(avatar_split_clause,[],[f1889,f968,f836]) ).
fof(f1889,plain,
( e0 = op(e4,e4)
| ~ spl34_127 ),
inference(backward_demodulation,[],[f411,f970]) ).
fof(f411,plain,
e0 = op(op(e2,e2),op(e2,e2)),
inference(cnf_transformation,[],[f6]) ).
fof(f1869,plain,
( ~ spl34_84
| spl34_104
| ~ spl34_111 ),
inference(avatar_split_clause,[],[f1868,f897,f867,f778]) ).
fof(f897,plain,
( spl34_111
<=> e2 = op(e3,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_111])]) ).
fof(f1868,plain,
( e0 != op(e3,e2)
| spl34_104
| ~ spl34_111 ),
inference(backward_demodulation,[],[f869,f899]) ).
fof(f899,plain,
( e2 = op(e3,e0)
| ~ spl34_111 ),
inference(avatar_component_clause,[],[f897]) ).
fof(f1832,plain,
( ~ spl34_151
| ~ spl34_35 ),
inference(avatar_split_clause,[],[f1824,f566,f1073]) ).
fof(f566,plain,
( spl34_35
<=> e2 = op(e1,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_35])]) ).
fof(f1824,plain,
( e2 != op(e1,e2)
| ~ spl34_35 ),
inference(backward_demodulation,[],[f306,f568]) ).
fof(f568,plain,
( e2 = op(e1,e0)
| ~ spl34_35 ),
inference(avatar_component_clause,[],[f566]) ).
fof(f1822,plain,
( ~ spl34_161
| ~ spl34_69 ),
inference(avatar_split_clause,[],[f1812,f713,f1119]) ).
fof(f1119,plain,
( spl34_161
<=> e3 = op(e2,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_161])]) ).
fof(f1812,plain,
( e3 != op(e2,e2)
| ~ spl34_69 ),
inference(backward_demodulation,[],[f315,f715]) ).
fof(f315,plain,
op(e2,e2) != op(e2,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f1821,plain,
( ~ spl34_205
| ~ spl34_69 ),
inference(avatar_split_clause,[],[f1813,f713,f1343]) ).
fof(f1343,plain,
( spl34_205
<=> e3 = op(e2,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_205])]) ).
fof(f1813,plain,
( e3 != op(e2,e0)
| ~ spl34_69 ),
inference(backward_demodulation,[],[f350,f715]) ).
fof(f350,plain,
op(e2,e0) != op(e2,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f1817,plain,
( ~ spl34_145
| ~ spl34_69 ),
inference(avatar_split_clause,[],[f1814,f713,f1046]) ).
fof(f1046,plain,
( spl34_145
<=> e3 = op(e2,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_145])]) ).
fof(f1814,plain,
( e3 != op(e2,e1)
| ~ spl34_69 ),
inference(backward_demodulation,[],[f376,f715]) ).
fof(f376,plain,
op(e2,e1) != op(e2,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f1807,plain,
( ~ spl34_127
| ~ spl34_101 ),
inference(avatar_split_clause,[],[f1803,f854,f968]) ).
fof(f854,plain,
( spl34_101
<=> e4 = op(e0,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_101])]) ).
fof(f1803,plain,
( e4 != op(e2,e2)
| ~ spl34_101 ),
inference(backward_demodulation,[],[f375,f856]) ).
fof(f856,plain,
( e4 = op(e0,e2)
| ~ spl34_101 ),
inference(avatar_component_clause,[],[f854]) ).
fof(f375,plain,
op(e0,e2) != op(e2,e2),
inference(cnf_transformation,[],[f4]) ).
fof(f1797,plain,
( ~ spl34_117
| ~ spl34_3 ),
inference(avatar_split_clause,[],[f1792,f428,f925]) ).
fof(f1792,plain,
( e1 != op(e2,e4)
| ~ spl34_3 ),
inference(backward_demodulation,[],[f351,f430]) ).
fof(f351,plain,
op(e2,e4) != op(e3,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f1796,plain,
( ~ spl34_181
| ~ spl34_3 ),
inference(avatar_split_clause,[],[f1791,f428,f1217]) ).
fof(f1217,plain,
( spl34_181
<=> e1 = op(e3,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_181])]) ).
fof(f1791,plain,
( e1 != op(e3,e2)
| ~ spl34_3 ),
inference(backward_demodulation,[],[f332,f430]) ).
fof(f332,plain,
op(e3,e2) != op(e3,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f1780,plain,
( ~ spl34_69
| ~ spl34_67 ),
inference(avatar_split_clause,[],[f1773,f705,f713]) ).
fof(f705,plain,
( spl34_67
<=> e3 = op(e4,e4) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_67])]) ).
fof(f1773,plain,
( e3 != op(e2,e4)
| ~ spl34_67 ),
inference(backward_demodulation,[],[f291,f707]) ).
fof(f707,plain,
( e3 = op(e4,e4)
| ~ spl34_67 ),
inference(avatar_component_clause,[],[f705]) ).
fof(f291,plain,
op(e2,e4) != op(e4,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f1755,plain,
( ~ spl34_21
| ~ spl34_24 ),
inference(avatar_split_clause,[],[f1750,f517,f505]) ).
fof(f517,plain,
( spl34_24
<=> e2 = op(e0,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_24])]) ).
fof(f1750,plain,
( e2 != op(e0,e2)
| ~ spl34_24 ),
inference(backward_demodulation,[],[f370,f519]) ).
fof(f519,plain,
( e2 = op(e0,e1)
| ~ spl34_24 ),
inference(avatar_component_clause,[],[f517]) ).
fof(f1737,plain,
( ~ spl34_155
| ~ spl34_85 ),
inference(avatar_split_clause,[],[f1730,f782,f1090]) ).
fof(f1730,plain,
( e0 != op(e2,e3)
| ~ spl34_85 ),
inference(backward_demodulation,[],[f302,f784]) ).
fof(f784,plain,
( e0 = op(e3,e3)
| ~ spl34_85 ),
inference(avatar_component_clause,[],[f782]) ).
fof(f302,plain,
op(e2,e3) != op(e3,e3),
inference(cnf_transformation,[],[f4]) ).
fof(f1704,plain,
( spl34_187
| ~ spl34_250 ),
inference(avatar_split_clause,[],[f1692,f1595,f1249]) ).
fof(f1595,plain,
( spl34_250
<=> e2 = unit ),
introduced(avatar_definition,[new_symbols(naming,[spl34_250])]) ).
fof(f1692,plain,
( e4 = op(e4,e2)
| ~ spl34_250 ),
inference(backward_demodulation,[],[f216,f1597]) ).
fof(f1597,plain,
( e2 = unit
| ~ spl34_250 ),
inference(avatar_component_clause,[],[f1595]) ).
fof(f1684,plain,
( spl34_79
| spl34_85
| spl34_165
| spl34_155
| spl34_74 ),
inference(avatar_split_clause,[],[f254,f735,f1090,f1137,f782,f757]) ).
fof(f254,plain,
( e0 = op(e4,e3)
| e0 = op(e2,e3)
| e0 = op(e0,e3)
| e0 = op(e3,e3)
| e0 = op(e1,e3) ),
inference(cnf_transformation,[],[f3]) ).
fof(f3,axiom,
( ( e1 = op(e2,e2)
| e1 = op(e2,e3)
| e1 = op(e2,e1)
| e1 = op(e2,e4)
| e1 = op(e2,e0) )
& ( e2 = op(e2,e0)
| e2 = op(e2,e4)
| e2 = op(e2,e1)
| e2 = op(e2,e2)
| e2 = op(e2,e3) )
& ( e1 = op(e3,e2)
| e1 = op(e3,e3)
| e1 = op(e3,e4)
| e1 = op(e3,e1)
| e1 = op(e3,e0) )
& ( e3 = op(e1,e3)
| e3 = op(e1,e0)
| e3 = op(e1,e1)
| e3 = op(e1,e2)
| e3 = op(e1,e4) )
& ( e4 = op(e4,e3)
| e4 = op(e3,e3)
| e4 = op(e1,e3)
| e4 = op(e0,e3)
| e4 = op(e2,e3) )
& ( e3 = op(e4,e1)
| e3 = op(e2,e1)
| e3 = op(e1,e1)
| e3 = op(e0,e1)
| e3 = op(e3,e1) )
& ( e0 = op(e0,e1)
| e0 = op(e2,e1)
| e0 = op(e3,e1)
| e0 = op(e4,e1)
| e0 = op(e1,e1) )
& ( e1 = op(e4,e4)
| e1 = op(e4,e1)
| e1 = op(e4,e2)
| e1 = op(e4,e3)
| e1 = op(e4,e0) )
& ( e0 = op(e3,e4)
| e0 = op(e2,e4)
| e0 = op(e0,e4)
| e0 = op(e4,e4)
| e0 = op(e1,e4) )
& ( e3 = op(e1,e4)
| e3 = op(e0,e4)
| e3 = op(e3,e4)
| e3 = op(e4,e4)
| e3 = op(e2,e4) )
& ( e2 = op(e3,e2)
| e2 = op(e4,e2)
| e2 = op(e2,e2)
| e2 = op(e1,e2)
| e2 = op(e0,e2) )
& ( e2 = op(e4,e0)
| e2 = op(e4,e3)
| e2 = op(e4,e4)
| e2 = op(e4,e2)
| e2 = op(e4,e1) )
& ( e2 = op(e0,e3)
| e2 = op(e2,e3)
| e2 = op(e4,e3)
| e2 = op(e1,e3)
| e2 = op(e3,e3) )
& ( e4 = op(e1,e4)
| e4 = op(e0,e4)
| e4 = op(e4,e4)
| e4 = op(e2,e4)
| e4 = op(e3,e4) )
& ( e1 = op(e3,e0)
| op(e0,e0) = e1
| e1 = op(e4,e0)
| e1 = op(e2,e0)
| e1 = op(e1,e0) )
& ( e0 = op(e0,e2)
| e0 = op(e1,e2)
| e0 = op(e3,e2)
| e0 = op(e4,e2)
| e0 = op(e2,e2) )
& ( e4 = op(e1,e2)
| e4 = op(e1,e0)
| e4 = op(e1,e3)
| e4 = op(e1,e4)
| e4 = op(e1,e1) )
& ( e1 = op(e4,e3)
| e1 = op(e2,e3)
| e1 = op(e1,e3)
| e1 = op(e0,e3)
| e1 = op(e3,e3) )
& ( op(e0,e0) = e4
| e4 = op(e1,e0)
| e4 = op(e4,e0)
| e4 = op(e2,e0)
| e4 = op(e3,e0) )
& ( e1 = op(e3,e1)
| e1 = op(e1,e1)
| e1 = op(e0,e1)
| e1 = op(e2,e1)
| e1 = op(e4,e1) )
& ( e1 = op(e0,e4)
| e1 = op(e1,e4)
| e1 = op(e4,e4)
| e1 = op(e2,e4)
| e1 = op(e3,e4) )
& ( e3 = op(e0,e3)
| e3 = op(e3,e3)
| e3 = op(e4,e3)
| e3 = op(e1,e3)
| e3 = op(e2,e3) )
& ( e4 = op(e1,e2)
| e4 = op(e0,e2)
| e4 = op(e3,e2)
| e4 = op(e4,e2)
| e4 = op(e2,e2) )
& ( e1 = op(e3,e2)
| e1 = op(e4,e2)
| e1 = op(e2,e2)
| e1 = op(e0,e2)
| e1 = op(e1,e2) )
& ( e2 = op(e2,e4)
| e2 = op(e0,e4)
| e2 = op(e3,e4)
| e2 = op(e1,e4)
| e2 = op(e4,e4) )
& ( e3 = op(e3,e2)
| e3 = op(e1,e2)
| e3 = op(e4,e2)
| e3 = op(e2,e2)
| e3 = op(e0,e2) )
& ( e2 = op(e2,e1)
| e2 = op(e1,e1)
| e2 = op(e0,e1)
| e2 = op(e3,e1)
| e2 = op(e4,e1) )
& ( e4 = op(e0,e1)
| e4 = op(e1,e1)
| e4 = op(e2,e1)
| e4 = op(e4,e1)
| e4 = op(e3,e1) )
& ( e2 = op(e3,e3)
| e2 = op(e3,e1)
| e2 = op(e3,e2)
| e2 = op(e3,e0)
| e2 = op(e3,e4) )
& ( e4 = op(e3,e4)
| e4 = op(e3,e0)
| e4 = op(e3,e2)
| e4 = op(e3,e3)
| e4 = op(e3,e1) )
& ( e0 = op(e3,e3)
| e0 = op(e1,e3)
| e0 = op(e2,e3)
| e0 = op(e0,e3)
| e0 = op(e4,e3) )
& ( e2 = op(e1,e0)
| e2 = op(e1,e3)
| e2 = op(e1,e1)
| e2 = op(e1,e2)
| e2 = op(e1,e4) )
& ( op(e0,e0) = e2
| e2 = op(e3,e0)
| e2 = op(e4,e0)
| e2 = op(e2,e0)
| e2 = op(e1,e0) )
& ( e0 = op(e3,e2)
| e0 = op(e3,e0)
| e0 = op(e3,e4)
| e0 = op(e3,e1)
| e0 = op(e3,e3) )
& ( e3 = op(e3,e4)
| e3 = op(e3,e3)
| e3 = op(e3,e2)
| e3 = op(e3,e1)
| e3 = op(e3,e0) )
& ( e3 = op(e4,e0)
| e3 = op(e4,e2)
| e3 = op(e4,e1)
| e3 = op(e4,e3)
| e3 = op(e4,e4) )
& ( e4 = op(e4,e0)
| e4 = op(e4,e3)
| e4 = op(e4,e1)
| e4 = op(e4,e4)
| e4 = op(e4,e2) )
& ( e3 = op(e2,e0)
| e3 = op(e4,e0)
| op(e0,e0) = e3
| e3 = op(e3,e0)
| e3 = op(e1,e0) )
& ( e0 = op(e1,e0)
| e0 = op(e2,e0)
| e0 = op(e4,e0)
| e0 = op(e3,e0)
| e0 = op(e0,e0) )
& ( e1 = op(e0,e2)
| op(e0,e0) = e1
| e1 = op(e0,e4)
| e1 = op(e0,e3)
| e1 = op(e0,e1) )
& ( e2 = op(e0,e4)
| e2 = op(e0,e3)
| e2 = op(e0,e1)
| op(e0,e0) = e2
| e2 = op(e0,e2) )
& ( e0 = op(e1,e4)
| e0 = op(e1,e0)
| e0 = op(e1,e3)
| e0 = op(e1,e2)
| e0 = op(e1,e1) )
& ( e4 = op(e0,e1)
| op(e0,e0) = e4
| e4 = op(e0,e3)
| e4 = op(e0,e2)
| e4 = op(e0,e4) )
& ( e1 = op(e1,e2)
| e1 = op(e1,e4)
| e1 = op(e1,e3)
| e1 = op(e1,e0)
| e1 = op(e1,e1) )
& ( e3 = op(e0,e4)
| op(e0,e0) = e3
| e3 = op(e0,e2)
| e3 = op(e0,e1)
| e3 = op(e0,e3) )
& ( e0 = op(e4,e2)
| e0 = op(e4,e1)
| e0 = op(e4,e3)
| e0 = op(e4,e4)
| e0 = op(e4,e0) )
& ( e3 = op(e2,e4)
| e3 = op(e2,e3)
| e3 = op(e2,e1)
| e3 = op(e2,e2)
| e3 = op(e2,e0) )
& ( e4 = op(e2,e3)
| e4 = op(e2,e1)
| e4 = op(e2,e0)
| e4 = op(e2,e4)
| e4 = op(e2,e2) )
& ( e0 = op(e2,e1)
| e0 = op(e2,e2)
| e0 = op(e2,e4)
| e0 = op(e2,e0)
| e0 = op(e2,e3) )
& ( e0 = op(e0,e2)
| e0 = op(e0,e3)
| e0 = op(e0,e4)
| e0 = op(e0,e1)
| e0 = op(e0,e0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax3) ).
fof(f1682,plain,
( spl34_195
| spl34_96
| spl34_68
| spl34_174
| spl34_118 ),
inference(avatar_split_clause,[],[f397,f929,f1182,f709,f832,f1288]) ).
fof(f397,plain,
( e1 = op(e1,e4)
| e4 = op(e1,e4)
| e3 = op(e1,e4)
| e0 = op(e1,e4)
| e2 = op(e1,e4) ),
inference(cnf_transformation,[],[f1]) ).
fof(f1,axiom,
( ( e2 = op(e2,e1)
| e0 = op(e2,e1)
| e3 = op(e2,e1)
| e4 = op(e2,e1)
| e1 = op(e2,e1) )
& ( e0 = op(e1,e3)
| e1 = op(e1,e3)
| e4 = op(e1,e3)
| e3 = op(e1,e3)
| e2 = op(e1,e3) )
& ( e0 = op(e1,e1)
| e3 = op(e1,e1)
| e2 = op(e1,e1)
| e4 = op(e1,e1)
| e1 = op(e1,e1) )
& ( e3 = op(e0,e1)
| e1 = op(e0,e1)
| e0 = op(e0,e1)
| e4 = op(e0,e1)
| e2 = op(e0,e1) )
& ( e3 = op(e0,e2)
| e4 = op(e0,e2)
| e2 = op(e0,e2)
| e1 = op(e0,e2)
| e0 = op(e0,e2) )
& ( e2 = op(e2,e3)
| e4 = op(e2,e3)
| e3 = op(e2,e3)
| e0 = op(e2,e3)
| e1 = op(e2,e3) )
& ( e2 = op(e0,e4)
| e1 = op(e0,e4)
| e3 = op(e0,e4)
| e0 = op(e0,e4)
| e4 = op(e0,e4) )
& ( e2 = op(e3,e4)
| e3 = op(e3,e4)
| e1 = op(e3,e4)
| e4 = op(e3,e4)
| e0 = op(e3,e4) )
& ( op(e0,e0) = e4
| op(e0,e0) = e2
| op(e0,e0) = e3
| op(e0,e0) = e1
| e0 = op(e0,e0) )
& ( e3 = op(e2,e0)
| e1 = op(e2,e0)
| e4 = op(e2,e0)
| e0 = op(e2,e0)
| e2 = op(e2,e0) )
& ( e2 = op(e0,e3)
| e0 = op(e0,e3)
| e4 = op(e0,e3)
| e3 = op(e0,e3)
| e1 = op(e0,e3) )
& ( e3 = op(e4,e0)
| e0 = op(e4,e0)
| e4 = op(e4,e0)
| e1 = op(e4,e0)
| e2 = op(e4,e0) )
& ( e1 = op(e1,e4)
| e2 = op(e1,e4)
| e0 = op(e1,e4)
| e4 = op(e1,e4)
| e3 = op(e1,e4) )
& ( e4 = op(e1,e0)
| e2 = op(e1,e0)
| e0 = op(e1,e0)
| e3 = op(e1,e0)
| e1 = op(e1,e0) )
& ( e4 = op(e4,e4)
| e2 = op(e4,e4)
| e1 = op(e4,e4)
| e0 = op(e4,e4)
| e3 = op(e4,e4) )
& ( e3 = op(e3,e0)
| e0 = op(e3,e0)
| e1 = op(e3,e0)
| e2 = op(e3,e0)
| e4 = op(e3,e0) )
& ( e2 = op(e3,e2)
| e4 = op(e3,e2)
| e0 = op(e3,e2)
| e3 = op(e3,e2)
| e1 = op(e3,e2) )
& ( e3 = op(e2,e2)
| e2 = op(e2,e2)
| e4 = op(e2,e2)
| e1 = op(e2,e2)
| e0 = op(e2,e2) )
& ( e3 = op(e3,e1)
| e1 = op(e3,e1)
| e4 = op(e3,e1)
| e0 = op(e3,e1)
| e2 = op(e3,e1) )
& ( e4 = op(e4,e1)
| e2 = op(e4,e1)
| e0 = op(e4,e1)
| e1 = op(e4,e1)
| e3 = op(e4,e1) )
& ( e1 = op(e3,e3)
| e2 = op(e3,e3)
| e3 = op(e3,e3)
| e0 = op(e3,e3)
| e4 = op(e3,e3) )
& ( e0 = op(e4,e2)
| e1 = op(e4,e2)
| e2 = op(e4,e2)
| e4 = op(e4,e2)
| e3 = op(e4,e2) )
& ( e1 = op(e1,e2)
| e4 = op(e1,e2)
| e3 = op(e1,e2)
| e0 = op(e1,e2)
| e2 = op(e1,e2) )
& ( e3 = op(e2,e4)
| e1 = op(e2,e4)
| e0 = op(e2,e4)
| e4 = op(e2,e4)
| e2 = op(e2,e4) )
& ( e0 = op(e4,e3)
| e1 = op(e4,e3)
| e3 = op(e4,e3)
| e2 = op(e4,e3)
| e4 = op(e4,e3) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax1) ).
fof(f1679,plain,
( spl34_181
| spl34_150
| spl34_102
| spl34_235
| spl34_162 ),
inference(avatar_split_clause,[],[f261,f1123,f1508,f858,f1069,f1217]) ).
fof(f261,plain,
( e1 = op(e2,e2)
| e1 = op(e4,e2)
| e1 = op(e0,e2)
| e1 = op(e1,e2)
| e1 = op(e3,e2) ),
inference(cnf_transformation,[],[f3]) ).
fof(f1669,plain,
( spl34_162
| spl34_144
| spl34_117
| spl34_204
| spl34_169 ),
inference(avatar_split_clause,[],[f284,f1157,f1339,f925,f1042,f1123]) ).
fof(f284,plain,
( e1 = op(e2,e3)
| e1 = op(e2,e0)
| e1 = op(e2,e4)
| e1 = op(e2,e1)
| e1 = op(e2,e2) ),
inference(cnf_transformation,[],[f3]) ).
fof(f1668,plain,
( ~ spl34_56
| ~ spl34_262 ),
inference(avatar_split_clause,[],[f125,f1665,f656]) ).
fof(f656,plain,
( spl34_56
<=> sP18 ),
introduced(avatar_definition,[new_symbols(naming,[spl34_56])]) ).
fof(f125,plain,
( e2 != op(op(e1,e2),e1)
| ~ sP18 ),
inference(cnf_transformation,[],[f60]) ).
fof(f60,plain,
( ( op(e1,e2) != op(e2,e1)
& e2 != op(op(e1,e2),e1)
& e1 = op(op(e1,e2),e2) )
| ~ sP18 ),
inference(nnf_transformation,[],[f28]) ).
fof(f28,plain,
( ( op(e1,e2) != op(e2,e1)
& e2 != op(op(e1,e2),e1)
& e1 = op(op(e1,e2),e2) )
| ~ sP18 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP18])]) ).
fof(f1657,plain,
( spl34_67
| spl34_216
| spl34_76
| spl34_128
| spl34_203 ),
inference(avatar_split_clause,[],[f249,f1331,f974,f743,f1402,f705]) ).
fof(f249,plain,
( e3 = op(e4,e2)
| e3 = op(e4,e0)
| e3 = op(e4,e3)
| e3 = op(e4,e1)
| e3 = op(e4,e4) ),
inference(cnf_transformation,[],[f3]) ).
fof(f1650,plain,
( ~ spl34_72
| ~ spl34_119 ),
inference(avatar_split_clause,[],[f148,f934,f726]) ).
fof(f726,plain,
( spl34_72
<=> sP10 ),
introduced(avatar_definition,[new_symbols(naming,[spl34_72])]) ).
fof(f148,plain,
( op(e0,e3) != op(e3,e0)
| ~ sP10 ),
inference(cnf_transformation,[],[f68]) ).
fof(f68,plain,
( ( e3 != op(op(e0,e3),e0)
& e0 = op(op(e0,e3),e3)
& op(e0,e3) != op(e3,e0) )
| ~ sP10 ),
inference(nnf_transformation,[],[f20]) ).
fof(f20,plain,
( ( e3 != op(op(e0,e3),e0)
& e0 = op(op(e0,e3),e3)
& op(e0,e3) != op(e3,e0) )
| ~ sP10 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP10])]) ).
fof(f1638,plain,
( ~ spl34_197
| ~ spl34_133 ),
inference(avatar_split_clause,[],[f79,f996,f1300]) ).
fof(f996,plain,
( spl34_133
<=> sP33 ),
introduced(avatar_definition,[new_symbols(naming,[spl34_133])]) ).
fof(f79,plain,
( ~ sP33
| op(e0,e1) != op(e1,e0) ),
inference(cnf_transformation,[],[f45]) ).
fof(f45,plain,
( ( e0 != op(op(e1,e0),e1)
& e1 = op(op(e1,e0),e0)
& op(e0,e1) != op(e1,e0) )
| ~ sP33 ),
inference(nnf_transformation,[],[f43]) ).
fof(f43,plain,
( ( e0 != op(op(e1,e0),e1)
& e1 = op(op(e1,e0),e0)
& op(e0,e1) != op(e1,e0) )
| ~ sP33 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP33])]) ).
fof(f1634,plain,
( ~ spl34_257
| ~ spl34_136 ),
inference(avatar_split_clause,[],[f135,f1008,f1631]) ).
fof(f1008,plain,
( spl34_136
<=> sP15 ),
introduced(avatar_definition,[new_symbols(naming,[spl34_136])]) ).
fof(f135,plain,
( ~ sP15
| e4 != op(op(e0,e4),e0) ),
inference(cnf_transformation,[],[f63]) ).
fof(f63,plain,
( ( e4 != op(op(e0,e4),e0)
& op(e0,e4) != op(e4,e0)
& e0 = op(op(e0,e4),e4) )
| ~ sP15 ),
inference(nnf_transformation,[],[f25]) ).
fof(f25,plain,
( ( e4 != op(op(e0,e4),e0)
& op(e0,e4) != op(e4,e0)
& e0 = op(op(e0,e4),e4) )
| ~ sP15 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP15])]) ).
fof(f1627,plain,
( ~ spl34_54
| spl34_256 ),
inference(avatar_split_clause,[],[f163,f1624,f647]) ).
fof(f647,plain,
( spl34_54
<=> sP3 ),
introduced(avatar_definition,[new_symbols(naming,[spl34_54])]) ).
fof(f163,plain,
( e3 = op(e4,op(e3,e4))
| ~ sP3 ),
inference(cnf_transformation,[],[f75]) ).
fof(f75,plain,
( ( e4 != op(e3,op(e3,e4))
& e3 = op(e4,op(e3,e4)) )
| ~ sP3 ),
inference(nnf_transformation,[],[f13]) ).
fof(f13,plain,
( ( e4 != op(e3,op(e3,e4))
& e3 = op(e4,op(e3,e4)) )
| ~ sP3 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP3])]) ).
fof(f1621,plain,
~ spl34_131,
inference(avatar_split_clause,[],[f414,f988]) ).
fof(f988,plain,
( spl34_131
<=> sP28 ),
introduced(avatar_definition,[new_symbols(naming,[spl34_131])]) ).
fof(f414,plain,
~ sP28,
inference(trivial_inequality_removal,[],[f96]) ).
fof(f96,plain,
( op(e1,e1) != op(e1,e1)
| ~ sP28 ),
inference(cnf_transformation,[],[f50]) ).
fof(f50,plain,
( ( op(e1,e1) != op(e1,e1)
& e1 != op(op(e1,e1),e1)
& e1 = op(op(e1,e1),e1) )
| ~ sP28 ),
inference(nnf_transformation,[],[f38]) ).
fof(f38,plain,
( ( op(e1,e1) != op(e1,e1)
& e1 != op(op(e1,e1),e1)
& e1 = op(op(e1,e1),e1) )
| ~ sP28 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP28])]) ).
fof(f1614,plain,
( spl34_250
| spl34_251
| spl34_252
| spl34_253
| spl34_254 ),
inference(avatar_split_clause,[],[f214,f1611,f1607,f1603,f1599,f1595]) ).
fof(f214,plain,
( e1 = unit
| e0 = unit
| e3 = unit
| e4 = unit
| e2 = unit ),
inference(cnf_transformation,[],[f2]) ).
fof(f1555,plain,
( spl34_155
| spl34_230
| spl34_126
| spl34_221
| spl34_169 ),
inference(avatar_split_clause,[],[f404,f1157,f1433,f964,f1480,f1090]) ).
fof(f404,plain,
( e1 = op(e2,e3)
| e3 = op(e2,e3)
| e4 = op(e2,e3)
| e2 = op(e2,e3)
| e0 = op(e2,e3) ),
inference(cnf_transformation,[],[f1]) ).
fof(f1530,plain,
( spl34_238
| ~ spl34_142 ),
inference(avatar_split_clause,[],[f102,f1032,f1527]) ).
fof(f1032,plain,
( spl34_142
<=> sP26 ),
introduced(avatar_definition,[new_symbols(naming,[spl34_142])]) ).
fof(f102,plain,
( ~ sP26
| e3 = op(op(e3,e1),e1) ),
inference(cnf_transformation,[],[f52]) ).
fof(f52,plain,
( ( e3 = op(op(e3,e1),e1)
& op(e1,e3) != op(e3,e1)
& e1 != op(op(e3,e1),e3) )
| ~ sP26 ),
inference(nnf_transformation,[],[f36]) ).
fof(f36,plain,
( ( e3 = op(op(e3,e1),e1)
& op(e1,e3) != op(e3,e1)
& e1 != op(op(e3,e1),e3) )
| ~ sP26 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP26])]) ).
fof(f1494,plain,
( ~ spl34_166
| ~ spl34_30 ),
inference(avatar_split_clause,[],[f152,f543,f1142]) ).
fof(f1142,plain,
( spl34_166
<=> e0 = op(e0,op(e0,e0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_166])]) ).
fof(f543,plain,
( spl34_30
<=> sP9 ),
introduced(avatar_definition,[new_symbols(naming,[spl34_30])]) ).
fof(f152,plain,
( ~ sP9
| e0 != op(e0,op(e0,e0)) ),
inference(cnf_transformation,[],[f69]) ).
fof(f69,plain,
( ( e0 != op(e0,op(e0,e0))
& e0 = op(e0,op(e0,e0)) )
| ~ sP9 ),
inference(nnf_transformation,[],[f19]) ).
fof(f19,plain,
( ( e0 != op(e0,op(e0,e0))
& e0 = op(e0,op(e0,e0)) )
| ~ sP9 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP9])]) ).
fof(f1493,plain,
( ~ spl34_134
| ~ spl34_232 ),
inference(avatar_split_clause,[],[f87,f1490,f1000]) ).
fof(f1000,plain,
( spl34_134
<=> sP31 ),
introduced(avatar_definition,[new_symbols(naming,[spl34_134])]) ).
fof(f87,plain,
( e3 != op(op(e4,e3),e4)
| ~ sP31 ),
inference(cnf_transformation,[],[f47]) ).
fof(f47,plain,
( ( e3 != op(op(e4,e3),e4)
& e4 = op(op(e4,e3),e3)
& op(e3,e4) != op(e4,e3) )
| ~ sP31 ),
inference(nnf_transformation,[],[f41]) ).
fof(f41,plain,
( ( e3 != op(op(e4,e3),e4)
& e4 = op(op(e4,e3),e3)
& op(e3,e4) != op(e4,e3) )
| ~ sP31 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP31])]) ).
fof(f1488,plain,
( ~ spl34_141
| spl34_231 ),
inference(avatar_split_clause,[],[f99,f1485,f1028]) ).
fof(f1028,plain,
( spl34_141
<=> sP27 ),
introduced(avatar_definition,[new_symbols(naming,[spl34_141])]) ).
fof(f99,plain,
( e1 = op(op(e1,e4),e4)
| ~ sP27 ),
inference(cnf_transformation,[],[f51]) ).
fof(f51,plain,
( ( e1 = op(op(e1,e4),e4)
& op(e1,e4) != op(e4,e1)
& e4 != op(op(e1,e4),e1) )
| ~ sP27 ),
inference(nnf_transformation,[],[f37]) ).
fof(f37,plain,
( ( e1 = op(op(e1,e4),e4)
& op(e1,e4) != op(e4,e1)
& e4 != op(op(e1,e4),e1) )
| ~ sP27 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP27])]) ).
fof(f1478,plain,
( ~ spl34_138
| ~ spl34_178 ),
inference(avatar_split_clause,[],[f130,f1204,f1016]) ).
fof(f1016,plain,
( spl34_138
<=> sP16 ),
introduced(avatar_definition,[new_symbols(naming,[spl34_138])]) ).
fof(f130,plain,
( op(e0,e4) != op(e4,e0)
| ~ sP16 ),
inference(cnf_transformation,[],[f62]) ).
fof(f62,plain,
( ( e0 != op(op(e4,e0),e4)
& e4 = op(op(e4,e0),e0)
& op(e0,e4) != op(e4,e0) )
| ~ sP16 ),
inference(nnf_transformation,[],[f26]) ).
fof(f26,plain,
( ( e0 != op(op(e4,e0),e4)
& e4 = op(op(e4,e0),e0)
& op(e0,e4) != op(e4,e0) )
| ~ sP16 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP16])]) ).
fof(f1477,plain,
( ~ spl34_25
| ~ spl34_229 ),
inference(avatar_split_clause,[],[f91,f1474,f522]) ).
fof(f522,plain,
( spl34_25
<=> sP29 ),
introduced(avatar_definition,[new_symbols(naming,[spl34_25])]) ).
fof(f91,plain,
( e1 != op(op(e4,e1),e4)
| ~ sP29 ),
inference(cnf_transformation,[],[f49]) ).
fof(f49,plain,
( ( e4 = op(op(e4,e1),e1)
& op(e1,e4) != op(e4,e1)
& e1 != op(op(e4,e1),e4) )
| ~ sP29 ),
inference(nnf_transformation,[],[f39]) ).
fof(f39,plain,
( ( e4 = op(op(e4,e1),e1)
& op(e1,e4) != op(e4,e1)
& e1 != op(op(e4,e1),e4) )
| ~ sP29 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP29])]) ).
fof(f1462,plain,
~ spl34_132,
inference(avatar_split_clause,[],[f415,f992]) ).
fof(f992,plain,
( spl34_132
<=> sP21 ),
introduced(avatar_definition,[new_symbols(naming,[spl34_132])]) ).
fof(f415,plain,
~ sP21,
inference(trivial_inequality_removal,[],[f117]) ).
fof(f117,plain,
( op(e3,e3) != op(e3,e3)
| ~ sP21 ),
inference(cnf_transformation,[],[f57]) ).
fof(f57,plain,
( ( op(e3,e3) != op(e3,e3)
& e3 != op(op(e3,e3),e3)
& e3 = op(op(e3,e3),e3) )
| ~ sP21 ),
inference(nnf_transformation,[],[f31]) ).
fof(f31,plain,
( ( op(e3,e3) != op(e3,e3)
& e3 != op(op(e3,e3),e3)
& e3 = op(op(e3,e3),e3) )
| ~ sP21 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP21])]) ).
fof(f1421,plain,
( spl34_84
| spl34_219
| spl34_90
| spl34_202
| spl34_181 ),
inference(avatar_split_clause,[],[f393,f1217,f1327,f805,f1418,f778]) ).
fof(f393,plain,
( e1 = op(e3,e2)
| e3 = op(e3,e2)
| e4 = op(e3,e2)
| e2 = op(e3,e2)
| e0 = op(e3,e2) ),
inference(cnf_transformation,[],[f1]) ).
fof(f1385,plain,
( ~ spl34_34
| ~ spl34_212 ),
inference(avatar_split_clause,[],[f140,f1382,f561]) ).
fof(f561,plain,
( spl34_34
<=> sP13 ),
introduced(avatar_definition,[new_symbols(naming,[spl34_34])]) ).
fof(f140,plain,
( e2 != op(op(e4,e2),e4)
| ~ sP13 ),
inference(cnf_transformation,[],[f65]) ).
fof(f65,plain,
( ( e4 = op(op(e4,e2),e2)
& e2 != op(op(e4,e2),e4)
& op(e2,e4) != op(e4,e2) )
| ~ sP13 ),
inference(nnf_transformation,[],[f23]) ).
fof(f23,plain,
( ( e4 = op(op(e4,e2),e2)
& e2 != op(op(e4,e2),e4)
& op(e2,e4) != op(e4,e2) )
| ~ sP13 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP13])]) ).
fof(f1346,plain,
( spl34_204
| spl34_110
| spl34_205
| spl34_47
| spl34_124 ),
inference(avatar_split_clause,[],[f400,f956,f618,f1343,f893,f1339]) ).
fof(f400,plain,
( e4 = op(e2,e0)
| e0 = op(e2,e0)
| e3 = op(e2,e0)
| e2 = op(e2,e0)
| e1 = op(e2,e0) ),
inference(cnf_transformation,[],[f1]) ).
fof(f1334,plain,
( spl34_103
| spl34_202
| spl34_203
| spl34_153
| spl34_161 ),
inference(avatar_split_clause,[],[f259,f1119,f1081,f1331,f1327,f862]) ).
fof(f259,plain,
( e3 = op(e2,e2)
| e3 = op(e1,e2)
| e3 = op(e4,e2)
| e3 = op(e3,e2)
| e3 = op(e0,e2) ),
inference(cnf_transformation,[],[f3]) ).
fof(f1303,plain,
( ~ spl34_135
| ~ spl34_197 ),
inference(avatar_split_clause,[],[f138,f1300,f1004]) ).
fof(f1004,plain,
( spl34_135
<=> sP14 ),
introduced(avatar_definition,[new_symbols(naming,[spl34_135])]) ).
fof(f138,plain,
( op(e0,e1) != op(e1,e0)
| ~ sP14 ),
inference(cnf_transformation,[],[f64]) ).
fof(f64,plain,
( ( op(e0,e1) != op(e1,e0)
& e1 != op(op(e0,e1),e0)
& e0 = op(op(e0,e1),e1) )
| ~ sP14 ),
inference(nnf_transformation,[],[f24]) ).
fof(f24,plain,
( ( op(e0,e1) != op(e1,e0)
& e1 != op(op(e0,e1),e0)
& e0 = op(op(e0,e1),e1) )
| ~ sP14 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP14])]) ).
fof(f1296,plain,
( spl34_70
| spl34_95
| spl34_116
| spl34_196
| spl34_20 ),
inference(avatar_split_clause,[],[f403,f501,f1293,f921,f828,f717]) ).
fof(f403,plain,
( e2 = op(e0,e4)
| e4 = op(e0,e4)
| e1 = op(e0,e4)
| e0 = op(e0,e4)
| e3 = op(e0,e4) ),
inference(cnf_transformation,[],[f1]) ).
fof(f1282,plain,
~ spl34_185,
inference(avatar_split_clause,[],[f229,f1239]) ).
fof(f229,plain,
e2 != e3,
inference(cnf_transformation,[],[f5]) ).
fof(f1281,plain,
( ~ spl34_28
| spl34_193 ),
inference(avatar_split_clause,[],[f153,f1278,f535]) ).
fof(f535,plain,
( spl34_28
<=> sP8 ),
introduced(avatar_definition,[new_symbols(naming,[spl34_28])]) ).
fof(f153,plain,
( e4 = op(e0,op(e4,e0))
| ~ sP8 ),
inference(cnf_transformation,[],[f70]) ).
fof(f70,plain,
( ( e0 != op(e4,op(e4,e0))
& e4 = op(e0,op(e4,e0)) )
| ~ sP8 ),
inference(nnf_transformation,[],[f18]) ).
fof(f18,plain,
( ( e0 != op(e4,op(e4,e0))
& e4 = op(e0,op(e4,e0)) )
| ~ sP8 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP8])]) ).
fof(f1271,plain,
( spl34_53
| spl34_52
| spl34_109
| spl34_51
| spl34_54 ),
inference(avatar_split_clause,[],[f179,f647,f635,f888,f639,f643]) ).
fof(f639,plain,
( spl34_52
<=> sP2 ),
introduced(avatar_definition,[new_symbols(naming,[spl34_52])]) ).
fof(f179,plain,
( sP3
| e0 = op(e4,op(e0,e4))
| e1 = op(e4,op(e1,e4))
| sP2
| e2 = op(e4,op(e2,e4)) ),
inference(cnf_transformation,[],[f44]) ).
fof(f44,plain,
( ( ( op(e2,e4) != op(e4,e2)
& e4 != op(op(e2,e4),e2)
& e2 = op(op(e2,e4),e4) )
| sP33
| sP32
| sP31
| sP30
| sP29
| sP28
| sP27
| sP26
| sP25
| sP24
| sP23
| sP22
| sP21
| sP20
| sP19
| sP18
| sP17
| sP16
| sP15
| sP14
| sP13
| sP12
| sP11
| sP10 )
& ( ( e1 = op(e0,op(e1,e0))
& e0 != op(e1,op(e1,e0)) )
| ( e0 != op(e2,op(e2,e0))
& e2 = op(e0,op(e2,e0)) )
| ( e3 = op(e0,op(e3,e0))
& e0 != op(e3,op(e3,e0)) )
| sP9
| sP8 )
& ( ( e2 != op(e1,op(e1,e2))
& e1 = op(e2,op(e1,e2)) )
| ( e0 = op(e2,op(e0,e2))
& e2 != op(e0,op(e0,e2)) )
| ( e2 = op(e2,op(e2,e2))
& e2 != op(e2,op(e2,e2)) )
| sP7
| sP6 )
& ( ( e1 != op(e0,op(e0,e1))
& e0 = op(e1,op(e0,e1)) )
| ( e1 != op(e3,op(e3,e1))
& e3 = op(e1,op(e3,e1)) )
| ( e2 = op(e1,op(e2,e1))
& e1 != op(e2,op(e2,e1)) )
| sP5
| sP4 )
& ( ( e4 != op(e2,op(e2,e4))
& e2 = op(e4,op(e2,e4)) )
| ( e4 != op(e0,op(e0,e4))
& e0 = op(e4,op(e0,e4)) )
| ( e4 != op(e1,op(e1,e4))
& e1 = op(e4,op(e1,e4)) )
| sP3
| sP2 )
& ( ( e2 = op(e3,op(e2,e3))
& e3 != op(e2,op(e2,e3)) )
| ( e3 != op(e3,op(e3,e3))
& e3 = op(e3,op(e3,e3)) )
| ( e4 = op(e3,op(e4,e3))
& e3 != op(e4,op(e4,e3)) )
| sP1
| sP0 ) ),
inference(definition_folding,[],[f9,f43,f42,f41,f40,f39,f38,f37,f36,f35,f34,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,
( ( e1 = op(e3,op(e1,e3))
& e3 != op(e1,op(e1,e3)) )
| ~ sP0 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
fof(f11,plain,
( ( e0 = op(e3,op(e0,e3))
& e3 != op(e0,op(e0,e3)) )
| ~ sP1 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])]) ).
fof(f12,plain,
( ( e4 != op(e4,op(e4,e4))
& e4 = op(e4,op(e4,e4)) )
| ~ sP2 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP2])]) ).
fof(f14,plain,
( ( e1 != op(e1,op(e1,e1))
& e1 = op(e1,op(e1,e1)) )
| ~ sP4 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP4])]) ).
fof(f15,plain,
( ( e1 != op(e4,op(e4,e1))
& e4 = op(e1,op(e4,e1)) )
| ~ sP5 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP5])]) ).
fof(f16,plain,
( ( e3 = op(e2,op(e3,e2))
& e2 != op(e3,op(e3,e2)) )
| ~ sP6 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP6])]) ).
fof(f17,plain,
( ( e4 = op(e2,op(e4,e2))
& e2 != op(e4,op(e4,e2)) )
| ~ sP7 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP7])]) ).
fof(f21,plain,
( ( e0 != op(op(e3,e0),e3)
& op(e0,e3) != op(e3,e0)
& e3 = op(op(e3,e0),e0) )
| ~ sP11 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP11])]) ).
fof(f22,plain,
( ( e2 != op(op(e3,e2),e3)
& op(e2,e3) != op(e3,e2)
& e3 = op(op(e3,e2),e2) )
| ~ sP12 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP12])]) ).
fof(f27,plain,
( ( e0 != op(op(e0,e0),e0)
& e0 = op(op(e0,e0),e0)
& op(e0,e0) != op(e0,e0) )
| ~ sP17 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP17])]) ).
fof(f29,plain,
( ( e2 = op(op(e2,e0),e0)
& op(e0,e2) != op(e2,e0)
& e0 != op(op(e2,e0),e2) )
| ~ sP19 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP19])]) ).
fof(f30,plain,
( ( e1 != op(op(e2,e1),e2)
& op(e1,e2) != op(e2,e1)
& e2 = op(op(e2,e1),e1) )
| ~ sP20 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP20])]) ).
fof(f32,plain,
( ( e2 = op(op(e2,e3),e3)
& e3 != op(op(e2,e3),e2)
& op(e2,e3) != op(e3,e2) )
| ~ sP22 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP22])]) ).
fof(f33,plain,
( ( op(e2,e2) != op(e2,e2)
& e2 = op(op(e2,e2),e2)
& e2 != op(op(e2,e2),e2) )
| ~ sP23 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP23])]) ).
fof(f34,plain,
( ( e3 = op(op(e3,e4),e4)
& op(e3,e4) != op(e4,e3)
& e4 != op(op(e3,e4),e3) )
| ~ sP24 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP24])]) ).
fof(f35,plain,
( ( e4 != op(op(e4,e4),e4)
& e4 = op(op(e4,e4),e4)
& op(e4,e4) != op(e4,e4) )
| ~ sP25 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP25])]) ).
fof(f40,plain,
( ( e1 = op(op(e1,e3),e3)
& e3 != op(op(e1,e3),e1)
& op(e1,e3) != op(e3,e1) )
| ~ sP30 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP30])]) ).
fof(f42,plain,
( ( op(e0,e2) != op(e2,e0)
& e0 = op(op(e0,e2),e2)
& e2 != op(op(e0,e2),e0) )
| ~ sP32 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP32])]) ).
fof(f9,plain,
( ( ( op(e2,e4) != op(e4,e2)
& e4 != op(op(e2,e4),e2)
& e2 = op(op(e2,e4),e4) )
| ( e0 != op(op(e1,e0),e1)
& e1 = op(op(e1,e0),e0)
& op(e0,e1) != op(e1,e0) )
| ( op(e0,e2) != op(e2,e0)
& e0 = op(op(e0,e2),e2)
& e2 != op(op(e0,e2),e0) )
| ( e3 != op(op(e4,e3),e4)
& e4 = op(op(e4,e3),e3)
& op(e3,e4) != op(e4,e3) )
| ( e1 = op(op(e1,e3),e3)
& e3 != op(op(e1,e3),e1)
& op(e1,e3) != op(e3,e1) )
| ( e4 = op(op(e4,e1),e1)
& op(e1,e4) != op(e4,e1)
& e1 != op(op(e4,e1),e4) )
| ( op(e1,e1) != op(e1,e1)
& e1 != op(op(e1,e1),e1)
& e1 = op(op(e1,e1),e1) )
| ( e1 = op(op(e1,e4),e4)
& op(e1,e4) != op(e4,e1)
& e4 != op(op(e1,e4),e1) )
| ( e3 = op(op(e3,e1),e1)
& op(e1,e3) != op(e3,e1)
& e1 != op(op(e3,e1),e3) )
| ( e4 != op(op(e4,e4),e4)
& e4 = op(op(e4,e4),e4)
& op(e4,e4) != op(e4,e4) )
| ( e3 = op(op(e3,e4),e4)
& op(e3,e4) != op(e4,e3)
& e4 != op(op(e3,e4),e3) )
| ( op(e2,e2) != op(e2,e2)
& e2 = op(op(e2,e2),e2)
& e2 != op(op(e2,e2),e2) )
| ( e2 = op(op(e2,e3),e3)
& e3 != op(op(e2,e3),e2)
& op(e2,e3) != op(e3,e2) )
| ( op(e3,e3) != op(e3,e3)
& e3 != op(op(e3,e3),e3)
& e3 = op(op(e3,e3),e3) )
| ( e1 != op(op(e2,e1),e2)
& op(e1,e2) != op(e2,e1)
& e2 = op(op(e2,e1),e1) )
| ( e2 = op(op(e2,e0),e0)
& op(e0,e2) != op(e2,e0)
& e0 != op(op(e2,e0),e2) )
| ( op(e1,e2) != op(e2,e1)
& e2 != op(op(e1,e2),e1)
& e1 = op(op(e1,e2),e2) )
| ( e0 != op(op(e0,e0),e0)
& e0 = op(op(e0,e0),e0)
& op(e0,e0) != op(e0,e0) )
| ( e0 != op(op(e4,e0),e4)
& e4 = op(op(e4,e0),e0)
& op(e0,e4) != op(e4,e0) )
| ( e4 != op(op(e0,e4),e0)
& op(e0,e4) != op(e4,e0)
& e0 = op(op(e0,e4),e4) )
| ( op(e0,e1) != op(e1,e0)
& e1 != op(op(e0,e1),e0)
& e0 = op(op(e0,e1),e1) )
| ( e4 = op(op(e4,e2),e2)
& e2 != op(op(e4,e2),e4)
& op(e2,e4) != op(e4,e2) )
| ( e2 != op(op(e3,e2),e3)
& op(e2,e3) != op(e3,e2)
& e3 = op(op(e3,e2),e2) )
| ( e0 != op(op(e3,e0),e3)
& op(e0,e3) != op(e3,e0)
& e3 = op(op(e3,e0),e0) )
| ( e3 != op(op(e0,e3),e0)
& e0 = op(op(e0,e3),e3)
& op(e0,e3) != op(e3,e0) ) )
& ( ( e1 = op(e0,op(e1,e0))
& e0 != op(e1,op(e1,e0)) )
| ( e0 != op(e2,op(e2,e0))
& e2 = op(e0,op(e2,e0)) )
| ( e3 = op(e0,op(e3,e0))
& e0 != op(e3,op(e3,e0)) )
| ( e0 != op(e0,op(e0,e0))
& e0 = op(e0,op(e0,e0)) )
| ( e0 != op(e4,op(e4,e0))
& e4 = op(e0,op(e4,e0)) ) )
& ( ( e2 != op(e1,op(e1,e2))
& e1 = op(e2,op(e1,e2)) )
| ( e0 = op(e2,op(e0,e2))
& e2 != op(e0,op(e0,e2)) )
| ( e2 = op(e2,op(e2,e2))
& e2 != op(e2,op(e2,e2)) )
| ( e4 = op(e2,op(e4,e2))
& e2 != op(e4,op(e4,e2)) )
| ( e3 = op(e2,op(e3,e2))
& e2 != op(e3,op(e3,e2)) ) )
& ( ( e1 != op(e0,op(e0,e1))
& e0 = op(e1,op(e0,e1)) )
| ( e1 != op(e3,op(e3,e1))
& e3 = op(e1,op(e3,e1)) )
| ( e2 = op(e1,op(e2,e1))
& e1 != op(e2,op(e2,e1)) )
| ( e1 != op(e4,op(e4,e1))
& e4 = op(e1,op(e4,e1)) )
| ( e1 != op(e1,op(e1,e1))
& e1 = op(e1,op(e1,e1)) ) )
& ( ( e4 != op(e2,op(e2,e4))
& e2 = op(e4,op(e2,e4)) )
| ( e4 != op(e0,op(e0,e4))
& e0 = op(e4,op(e0,e4)) )
| ( e4 != op(e1,op(e1,e4))
& e1 = op(e4,op(e1,e4)) )
| ( e4 != op(e3,op(e3,e4))
& e3 = op(e4,op(e3,e4)) )
| ( e4 != op(e4,op(e4,e4))
& e4 = op(e4,op(e4,e4)) ) )
& ( ( e2 = op(e3,op(e2,e3))
& e3 != op(e2,op(e2,e3)) )
| ( e3 != op(e3,op(e3,e3))
& e3 = op(e3,op(e3,e3)) )
| ( e4 = op(e3,op(e4,e3))
& e3 != op(e4,op(e4,e3)) )
| ( e0 = op(e3,op(e0,e3))
& e3 != op(e0,op(e0,e3)) )
| ( e1 = op(e3,op(e1,e3))
& e3 != op(e1,op(e1,e3)) ) ) ),
inference(flattening,[],[f8]) ).
fof(f8,negated_conjecture,
~ ~ ( ( ( op(e2,e4) != op(e4,e2)
& e4 != op(op(e2,e4),e2)
& e2 = op(op(e2,e4),e4) )
| ( e0 != op(op(e1,e0),e1)
& e1 = op(op(e1,e0),e0)
& op(e0,e1) != op(e1,e0) )
| ( op(e0,e2) != op(e2,e0)
& e0 = op(op(e0,e2),e2)
& e2 != op(op(e0,e2),e0) )
| ( e3 != op(op(e4,e3),e4)
& e4 = op(op(e4,e3),e3)
& op(e3,e4) != op(e4,e3) )
| ( e1 = op(op(e1,e3),e3)
& e3 != op(op(e1,e3),e1)
& op(e1,e3) != op(e3,e1) )
| ( e4 = op(op(e4,e1),e1)
& op(e1,e4) != op(e4,e1)
& e1 != op(op(e4,e1),e4) )
| ( op(e1,e1) != op(e1,e1)
& e1 != op(op(e1,e1),e1)
& e1 = op(op(e1,e1),e1) )
| ( e1 = op(op(e1,e4),e4)
& op(e1,e4) != op(e4,e1)
& e4 != op(op(e1,e4),e1) )
| ( e3 = op(op(e3,e1),e1)
& op(e1,e3) != op(e3,e1)
& e1 != op(op(e3,e1),e3) )
| ( e4 != op(op(e4,e4),e4)
& e4 = op(op(e4,e4),e4)
& op(e4,e4) != op(e4,e4) )
| ( e3 = op(op(e3,e4),e4)
& op(e3,e4) != op(e4,e3)
& e4 != op(op(e3,e4),e3) )
| ( op(e2,e2) != op(e2,e2)
& e2 = op(op(e2,e2),e2)
& e2 != op(op(e2,e2),e2) )
| ( e2 = op(op(e2,e3),e3)
& e3 != op(op(e2,e3),e2)
& op(e2,e3) != op(e3,e2) )
| ( op(e3,e3) != op(e3,e3)
& e3 != op(op(e3,e3),e3)
& e3 = op(op(e3,e3),e3) )
| ( e1 != op(op(e2,e1),e2)
& op(e1,e2) != op(e2,e1)
& e2 = op(op(e2,e1),e1) )
| ( e2 = op(op(e2,e0),e0)
& op(e0,e2) != op(e2,e0)
& e0 != op(op(e2,e0),e2) )
| ( op(e1,e2) != op(e2,e1)
& e2 != op(op(e1,e2),e1)
& e1 = op(op(e1,e2),e2) )
| ( e0 != op(op(e0,e0),e0)
& e0 = op(op(e0,e0),e0)
& op(e0,e0) != op(e0,e0) )
| ( e0 != op(op(e4,e0),e4)
& e4 = op(op(e4,e0),e0)
& op(e0,e4) != op(e4,e0) )
| ( e4 != op(op(e0,e4),e0)
& op(e0,e4) != op(e4,e0)
& e0 = op(op(e0,e4),e4) )
| ( op(e0,e1) != op(e1,e0)
& e1 != op(op(e0,e1),e0)
& e0 = op(op(e0,e1),e1) )
| ( e4 = op(op(e4,e2),e2)
& e2 != op(op(e4,e2),e4)
& op(e2,e4) != op(e4,e2) )
| ( e2 != op(op(e3,e2),e3)
& op(e2,e3) != op(e3,e2)
& e3 = op(op(e3,e2),e2) )
| ( e0 != op(op(e3,e0),e3)
& op(e0,e3) != op(e3,e0)
& e3 = op(op(e3,e0),e0) )
| ( e3 != op(op(e0,e3),e0)
& e0 = op(op(e0,e3),e3)
& op(e0,e3) != op(e3,e0) ) )
& ( ( e1 = op(e0,op(e1,e0))
& e0 != op(e1,op(e1,e0)) )
| ( e0 != op(e2,op(e2,e0))
& e2 = op(e0,op(e2,e0)) )
| ( e3 = op(e0,op(e3,e0))
& e0 != op(e3,op(e3,e0)) )
| ( e0 != op(e0,op(e0,e0))
& e0 = op(e0,op(e0,e0)) )
| ( e0 != op(e4,op(e4,e0))
& e4 = op(e0,op(e4,e0)) ) )
& ( ( e2 != op(e1,op(e1,e2))
& e1 = op(e2,op(e1,e2)) )
| ( e0 = op(e2,op(e0,e2))
& e2 != op(e0,op(e0,e2)) )
| ( e2 = op(e2,op(e2,e2))
& e2 != op(e2,op(e2,e2)) )
| ( e4 = op(e2,op(e4,e2))
& e2 != op(e4,op(e4,e2)) )
| ( e3 = op(e2,op(e3,e2))
& e2 != op(e3,op(e3,e2)) ) )
& ( ( e1 != op(e0,op(e0,e1))
& e0 = op(e1,op(e0,e1)) )
| ( e1 != op(e3,op(e3,e1))
& e3 = op(e1,op(e3,e1)) )
| ( e2 = op(e1,op(e2,e1))
& e1 != op(e2,op(e2,e1)) )
| ( e1 != op(e4,op(e4,e1))
& e4 = op(e1,op(e4,e1)) )
| ( e1 != op(e1,op(e1,e1))
& e1 = op(e1,op(e1,e1)) ) )
& ( ( e4 != op(e2,op(e2,e4))
& e2 = op(e4,op(e2,e4)) )
| ( e4 != op(e0,op(e0,e4))
& e0 = op(e4,op(e0,e4)) )
| ( e4 != op(e1,op(e1,e4))
& e1 = op(e4,op(e1,e4)) )
| ( e4 != op(e3,op(e3,e4))
& e3 = op(e4,op(e3,e4)) )
| ( e4 != op(e4,op(e4,e4))
& e4 = op(e4,op(e4,e4)) ) )
& ( ( e2 = op(e3,op(e2,e3))
& e3 != op(e2,op(e2,e3)) )
| ( e3 != op(e3,op(e3,e3))
& e3 = op(e3,op(e3,e3)) )
| ( e4 = op(e3,op(e4,e3))
& e3 != op(e4,op(e4,e3)) )
| ( e0 = op(e3,op(e0,e3))
& e3 != op(e0,op(e0,e3)) )
| ( e1 = op(e3,op(e1,e3))
& e3 != op(e1,op(e1,e3)) ) ) ),
inference(negated_conjecture,[],[f7]) ).
fof(f7,conjecture,
~ ( ( ( op(e2,e4) != op(e4,e2)
& e4 != op(op(e2,e4),e2)
& e2 = op(op(e2,e4),e4) )
| ( e0 != op(op(e1,e0),e1)
& e1 = op(op(e1,e0),e0)
& op(e0,e1) != op(e1,e0) )
| ( op(e0,e2) != op(e2,e0)
& e0 = op(op(e0,e2),e2)
& e2 != op(op(e0,e2),e0) )
| ( e3 != op(op(e4,e3),e4)
& e4 = op(op(e4,e3),e3)
& op(e3,e4) != op(e4,e3) )
| ( e1 = op(op(e1,e3),e3)
& e3 != op(op(e1,e3),e1)
& op(e1,e3) != op(e3,e1) )
| ( e4 = op(op(e4,e1),e1)
& op(e1,e4) != op(e4,e1)
& e1 != op(op(e4,e1),e4) )
| ( op(e1,e1) != op(e1,e1)
& e1 != op(op(e1,e1),e1)
& e1 = op(op(e1,e1),e1) )
| ( e1 = op(op(e1,e4),e4)
& op(e1,e4) != op(e4,e1)
& e4 != op(op(e1,e4),e1) )
| ( e3 = op(op(e3,e1),e1)
& op(e1,e3) != op(e3,e1)
& e1 != op(op(e3,e1),e3) )
| ( e4 != op(op(e4,e4),e4)
& e4 = op(op(e4,e4),e4)
& op(e4,e4) != op(e4,e4) )
| ( e3 = op(op(e3,e4),e4)
& op(e3,e4) != op(e4,e3)
& e4 != op(op(e3,e4),e3) )
| ( op(e2,e2) != op(e2,e2)
& e2 = op(op(e2,e2),e2)
& e2 != op(op(e2,e2),e2) )
| ( e2 = op(op(e2,e3),e3)
& e3 != op(op(e2,e3),e2)
& op(e2,e3) != op(e3,e2) )
| ( op(e3,e3) != op(e3,e3)
& e3 != op(op(e3,e3),e3)
& e3 = op(op(e3,e3),e3) )
| ( e1 != op(op(e2,e1),e2)
& op(e1,e2) != op(e2,e1)
& e2 = op(op(e2,e1),e1) )
| ( e2 = op(op(e2,e0),e0)
& op(e0,e2) != op(e2,e0)
& e0 != op(op(e2,e0),e2) )
| ( op(e1,e2) != op(e2,e1)
& e2 != op(op(e1,e2),e1)
& e1 = op(op(e1,e2),e2) )
| ( e0 != op(op(e0,e0),e0)
& e0 = op(op(e0,e0),e0)
& op(e0,e0) != op(e0,e0) )
| ( e0 != op(op(e4,e0),e4)
& e4 = op(op(e4,e0),e0)
& op(e0,e4) != op(e4,e0) )
| ( e4 != op(op(e0,e4),e0)
& op(e0,e4) != op(e4,e0)
& e0 = op(op(e0,e4),e4) )
| ( op(e0,e1) != op(e1,e0)
& e1 != op(op(e0,e1),e0)
& e0 = op(op(e0,e1),e1) )
| ( e4 = op(op(e4,e2),e2)
& e2 != op(op(e4,e2),e4)
& op(e2,e4) != op(e4,e2) )
| ( e2 != op(op(e3,e2),e3)
& op(e2,e3) != op(e3,e2)
& e3 = op(op(e3,e2),e2) )
| ( e0 != op(op(e3,e0),e3)
& op(e0,e3) != op(e3,e0)
& e3 = op(op(e3,e0),e0) )
| ( e3 != op(op(e0,e3),e0)
& e0 = op(op(e0,e3),e3)
& op(e0,e3) != op(e3,e0) ) )
& ( ( e1 = op(e0,op(e1,e0))
& e0 != op(e1,op(e1,e0)) )
| ( e0 != op(e2,op(e2,e0))
& e2 = op(e0,op(e2,e0)) )
| ( e3 = op(e0,op(e3,e0))
& e0 != op(e3,op(e3,e0)) )
| ( e0 != op(e0,op(e0,e0))
& e0 = op(e0,op(e0,e0)) )
| ( e0 != op(e4,op(e4,e0))
& e4 = op(e0,op(e4,e0)) ) )
& ( ( e2 != op(e1,op(e1,e2))
& e1 = op(e2,op(e1,e2)) )
| ( e0 = op(e2,op(e0,e2))
& e2 != op(e0,op(e0,e2)) )
| ( e2 = op(e2,op(e2,e2))
& e2 != op(e2,op(e2,e2)) )
| ( e4 = op(e2,op(e4,e2))
& e2 != op(e4,op(e4,e2)) )
| ( e3 = op(e2,op(e3,e2))
& e2 != op(e3,op(e3,e2)) ) )
& ( ( e1 != op(e0,op(e0,e1))
& e0 = op(e1,op(e0,e1)) )
| ( e1 != op(e3,op(e3,e1))
& e3 = op(e1,op(e3,e1)) )
| ( e2 = op(e1,op(e2,e1))
& e1 != op(e2,op(e2,e1)) )
| ( e1 != op(e4,op(e4,e1))
& e4 = op(e1,op(e4,e1)) )
| ( e1 != op(e1,op(e1,e1))
& e1 = op(e1,op(e1,e1)) ) )
& ( ( e4 != op(e2,op(e2,e4))
& e2 = op(e4,op(e2,e4)) )
| ( e4 != op(e0,op(e0,e4))
& e0 = op(e4,op(e0,e4)) )
| ( e4 != op(e1,op(e1,e4))
& e1 = op(e4,op(e1,e4)) )
| ( e4 != op(e3,op(e3,e4))
& e3 = op(e4,op(e3,e4)) )
| ( e4 != op(e4,op(e4,e4))
& e4 = op(e4,op(e4,e4)) ) )
& ( ( e2 = op(e3,op(e2,e3))
& e3 != op(e2,op(e2,e3)) )
| ( e3 != op(e3,op(e3,e3))
& e3 = op(e3,op(e3,e3)) )
| ( e4 = op(e3,op(e4,e3))
& e3 != op(e4,op(e4,e3)) )
| ( e0 = op(e3,op(e0,e3))
& e3 != op(e0,op(e0,e3)) )
| ( e1 = op(e3,op(e1,e3))
& e3 != op(e1,op(e1,e3)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).
fof(f1247,plain,
( ~ spl34_139
| spl34_186 ),
inference(avatar_split_clause,[],[f142,f1244,f1020]) ).
fof(f1020,plain,
( spl34_139
<=> sP12 ),
introduced(avatar_definition,[new_symbols(naming,[spl34_139])]) ).
fof(f142,plain,
( e3 = op(op(e3,e2),e2)
| ~ sP12 ),
inference(cnf_transformation,[],[f66]) ).
fof(f66,plain,
( ( e2 != op(op(e3,e2),e3)
& op(e2,e3) != op(e3,e2)
& e3 = op(op(e3,e2),e2) )
| ~ sP12 ),
inference(nnf_transformation,[],[f22]) ).
fof(f1235,plain,
( spl34_183
| spl34_158
| spl34_24
| spl34_146
| spl34_184 ),
inference(avatar_split_clause,[],[f258,f1232,f1050,f517,f1103,f1228]) ).
fof(f258,plain,
( e2 = op(e3,e1)
| e2 = op(e2,e1)
| e2 = op(e0,e1)
| e2 = op(e4,e1)
| e2 = op(e1,e1) ),
inference(cnf_transformation,[],[f3]) ).
fof(f1226,plain,
( ~ spl34_63
| ~ spl34_52 ),
inference(avatar_split_clause,[],[f166,f639,f686]) ).
fof(f686,plain,
( spl34_63
<=> e4 = op(e4,op(e4,e4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_63])]) ).
fof(f166,plain,
( ~ sP2
| e4 != op(e4,op(e4,e4)) ),
inference(cnf_transformation,[],[f76]) ).
fof(f76,plain,
( ( e4 != op(e4,op(e4,e4))
& e4 = op(e4,op(e4,e4)) )
| ~ sP2 ),
inference(nnf_transformation,[],[f12]) ).
fof(f1202,plain,
spl34_127,
inference(avatar_split_clause,[],[f412,f968]) ).
fof(f412,plain,
e4 = op(e2,e2),
inference(cnf_transformation,[],[f6]) ).
fof(f1196,plain,
~ spl34_12,
inference(avatar_split_clause,[],[f416,f466]) ).
fof(f466,plain,
( spl34_12
<=> sP17 ),
introduced(avatar_definition,[new_symbols(naming,[spl34_12])]) ).
fof(f416,plain,
~ sP17,
inference(trivial_inequality_removal,[],[f127]) ).
fof(f127,plain,
( ~ sP17
| op(e0,e0) != op(e0,e0) ),
inference(cnf_transformation,[],[f61]) ).
fof(f61,plain,
( ( e0 != op(op(e0,e0),e0)
& e0 = op(op(e0,e0),e0)
& op(e0,e0) != op(e0,e0) )
| ~ sP17 ),
inference(nnf_transformation,[],[f27]) ).
fof(f1164,plain,
( spl34_83
| spl34_73
| spl34_168
| spl34_169
| spl34_170 ),
inference(avatar_split_clause,[],[f267,f1161,f1157,f1153,f731,f773]) ).
fof(f267,plain,
( e1 = op(e3,e3)
| e1 = op(e2,e3)
| e1 = op(e0,e3)
| e1 = op(e4,e3)
| e1 = op(e1,e3) ),
inference(cnf_transformation,[],[f3]) ).
fof(f1151,plain,
( ~ spl34_137
| ~ spl34_94 ),
inference(avatar_split_clause,[],[f84,f823,f1012]) ).
fof(f1012,plain,
( spl34_137
<=> sP32 ),
introduced(avatar_definition,[new_symbols(naming,[spl34_137])]) ).
fof(f84,plain,
( op(e0,e2) != op(e2,e0)
| ~ sP32 ),
inference(cnf_transformation,[],[f46]) ).
fof(f46,plain,
( ( op(e0,e2) != op(e2,e0)
& e0 = op(op(e0,e2),e2)
& e2 != op(op(e0,e2),e0) )
| ~ sP32 ),
inference(nnf_transformation,[],[f42]) ).
fof(f1145,plain,
( ~ spl34_30
| spl34_166 ),
inference(avatar_split_clause,[],[f151,f1142,f543]) ).
fof(f151,plain,
( e0 = op(e0,op(e0,e0))
| ~ sP9 ),
inference(cnf_transformation,[],[f69]) ).
fof(f1112,plain,
( spl34_132
| spl34_138
| spl34_133
| spl34_134
| spl34_136
| spl34_142
| spl34_72
| spl34_137
| spl34_12
| spl34_135
| spl34_14
| spl34_141
| spl34_46
| spl34_25
| spl34_159
| spl34_113
| spl34_93
| spl34_131
| spl34_66
| spl34_139
| spl34_121
| spl34_56
| spl34_120
| spl34_34 ),
inference(avatar_split_clause,[],[f1107,f561,f938,f656,f943,f1020,f700,f988,f819,f906,f1109,f522,f612,f1028,f475,f1004,f466,f1012,f726,f1032,f1008,f1000,f996,f1016,f992]) ).
fof(f475,plain,
( spl34_14
<=> sP22 ),
introduced(avatar_definition,[new_symbols(naming,[spl34_14])]) ).
fof(f612,plain,
( spl34_46
<=> sP20 ),
introduced(avatar_definition,[new_symbols(naming,[spl34_46])]) ).
fof(f906,plain,
( spl34_113
<=> sP23 ),
introduced(avatar_definition,[new_symbols(naming,[spl34_113])]) ).
fof(f819,plain,
( spl34_93
<=> sP19 ),
introduced(avatar_definition,[new_symbols(naming,[spl34_93])]) ).
fof(f700,plain,
( spl34_66
<=> sP24 ),
introduced(avatar_definition,[new_symbols(naming,[spl34_66])]) ).
fof(f943,plain,
( spl34_121
<=> sP30 ),
introduced(avatar_definition,[new_symbols(naming,[spl34_121])]) ).
fof(f938,plain,
( spl34_120
<=> sP11 ),
introduced(avatar_definition,[new_symbols(naming,[spl34_120])]) ).
fof(f1107,plain,
( sP13
| sP11
| sP18
| sP30
| sP12
| sP24
| sP28
| sP19
| sP23
| e2 = op(op(e2,e4),e4)
| sP29
| sP20
| sP27
| sP22
| sP14
| sP17
| sP32
| sP10
| sP26
| sP15
| sP31
| sP33
| sP16
| sP21 ),
inference(subsumption_resolution,[],[f211,f418]) ).
fof(f418,plain,
~ sP25,
inference(trivial_inequality_removal,[],[f103]) ).
fof(f103,plain,
( ~ sP25
| op(e4,e4) != op(e4,e4) ),
inference(cnf_transformation,[],[f53]) ).
fof(f53,plain,
( ( e4 != op(op(e4,e4),e4)
& e4 = op(op(e4,e4),e4)
& op(e4,e4) != op(e4,e4) )
| ~ sP25 ),
inference(nnf_transformation,[],[f35]) ).
fof(f211,plain,
( sP12
| sP33
| sP31
| sP28
| sP23
| sP32
| sP14
| sP15
| sP30
| e2 = op(op(e2,e4),e4)
| sP26
| sP29
| sP11
| sP17
| sP16
| sP18
| sP20
| sP24
| sP25
| sP21
| sP13
| sP22
| sP19
| sP10
| sP27 ),
inference(cnf_transformation,[],[f44]) ).
fof(f1053,plain,
( spl34_125
| spl34_144
| spl34_145
| spl34_146
| spl34_61 ),
inference(avatar_split_clause,[],[f409,f677,f1050,f1046,f1042,f960]) ).
fof(f409,plain,
( e0 = op(e2,e1)
| e2 = op(e2,e1)
| e3 = op(e2,e1)
| e1 = op(e2,e1)
| e4 = op(e2,e1) ),
inference(cnf_transformation,[],[f1]) ).
fof(f985,plain,
( spl34_128
| spl34_129
| spl34_112
| spl34_130
| spl34_49 ),
inference(avatar_split_clause,[],[f398,f626,f982,f901,f978,f974]) ).
fof(f398,plain,
( e0 = op(e4,e0)
| e1 = op(e4,e0)
| e2 = op(e4,e0)
| e4 = op(e4,e0)
| e3 = op(e4,e0) ),
inference(cnf_transformation,[],[f1]) ).
fof(f972,plain,
~ spl34_113,
inference(avatar_split_clause,[],[f417,f906]) ).
fof(f417,plain,
~ sP23,
inference(trivial_inequality_removal,[],[f111]) ).
fof(f111,plain,
( ~ sP23
| op(e2,e2) != op(e2,e2) ),
inference(cnf_transformation,[],[f55]) ).
fof(f55,plain,
( ( op(e2,e2) != op(e2,e2)
& e2 = op(op(e2,e2),e2)
& e2 != op(op(e2,e2),e2) )
| ~ sP23 ),
inference(nnf_transformation,[],[f33]) ).
fof(f950,plain,
( ~ spl34_121
| spl34_122 ),
inference(avatar_split_clause,[],[f90,f947,f943]) ).
fof(f90,plain,
( e1 = op(op(e1,e3),e3)
| ~ sP30 ),
inference(cnf_transformation,[],[f48]) ).
fof(f48,plain,
( ( e1 = op(op(e1,e3),e3)
& e3 != op(op(e1,e3),e1)
& op(e1,e3) != op(e3,e1) )
| ~ sP30 ),
inference(nnf_transformation,[],[f40]) ).
fof(f941,plain,
( ~ spl34_119
| ~ spl34_120 ),
inference(avatar_split_clause,[],[f146,f938,f934]) ).
fof(f146,plain,
( ~ sP11
| op(e0,e3) != op(e3,e0) ),
inference(cnf_transformation,[],[f67]) ).
fof(f67,plain,
( ( e0 != op(op(e3,e0),e3)
& op(e0,e3) != op(e3,e0)
& e3 = op(op(e3,e0),e0) )
| ~ sP11 ),
inference(nnf_transformation,[],[f21]) ).
fof(f904,plain,
( spl34_110
| spl34_111
| spl34_112
| spl34_22
| spl34_35 ),
inference(avatar_split_clause,[],[f252,f566,f509,f901,f897,f893]) ).
fof(f252,plain,
( e2 = op(e1,e0)
| op(e0,e0) = e2
| e2 = op(e4,e0)
| e2 = op(e3,e0)
| e2 = op(e2,e0) ),
inference(cnf_transformation,[],[f3]) ).
fof(f878,plain,
( spl34_30
| spl34_28
| ~ spl34_104
| spl34_105
| ~ spl34_106 ),
inference(avatar_split_clause,[],[f203,f875,f871,f867,f535,f543]) ).
fof(f203,plain,
( e0 != op(e1,op(e1,e0))
| e2 = op(e0,op(e2,e0))
| e0 != op(e3,op(e3,e0))
| sP8
| sP9 ),
inference(cnf_transformation,[],[f44]) ).
fof(f865,plain,
( spl34_100
| spl34_21
| spl34_101
| spl34_102
| spl34_103 ),
inference(avatar_split_clause,[],[f405,f862,f858,f854,f505,f850]) ).
fof(f405,plain,
( e3 = op(e0,e2)
| e1 = op(e0,e2)
| e4 = op(e0,e2)
| e2 = op(e0,e2)
| e0 = op(e0,e2) ),
inference(cnf_transformation,[],[f1]) ).
fof(f826,plain,
( ~ spl34_93
| ~ spl34_94 ),
inference(avatar_split_clause,[],[f122,f823,f819]) ).
fof(f122,plain,
( op(e0,e2) != op(e2,e0)
| ~ sP19 ),
inference(cnf_transformation,[],[f59]) ).
fof(f59,plain,
( ( e2 = op(op(e2,e0),e0)
& op(e0,e2) != op(e2,e0)
& e0 != op(op(e2,e0),e2) )
| ~ sP19 ),
inference(nnf_transformation,[],[f29]) ).
fof(f817,plain,
( spl34_92
| ~ spl34_66 ),
inference(avatar_split_clause,[],[f108,f700,f814]) ).
fof(f108,plain,
( ~ sP24
| e3 = op(op(e3,e4),e4) ),
inference(cnf_transformation,[],[f54]) ).
fof(f54,plain,
( ( e3 = op(op(e3,e4),e4)
& op(e3,e4) != op(e4,e3)
& e4 != op(op(e3,e4),e3) )
| ~ sP24 ),
inference(nnf_transformation,[],[f34]) ).
fof(f795,plain,
( spl34_87
| ~ spl34_46 ),
inference(avatar_split_clause,[],[f118,f612,f792]) ).
fof(f118,plain,
( ~ sP20
| e2 = op(op(e2,e1),e1) ),
inference(cnf_transformation,[],[f58]) ).
fof(f58,plain,
( ( e1 != op(op(e2,e1),e2)
& op(e1,e2) != op(e2,e1)
& e2 = op(op(e2,e1),e1) )
| ~ sP20 ),
inference(nnf_transformation,[],[f30]) ).
fof(f785,plain,
( spl34_84
| spl34_4
| spl34_85
| spl34_48
| spl34_58 ),
inference(avatar_split_clause,[],[f251,f665,f622,f782,f432,f778]) ).
fof(f251,plain,
( e0 = op(e3,e1)
| e0 = op(e3,e0)
| e0 = op(e3,e3)
| e0 = op(e3,e4)
| e0 = op(e3,e2) ),
inference(cnf_transformation,[],[f3]) ).
fof(f750,plain,
( spl34_73
| spl34_74
| spl34_75
| spl34_76
| spl34_77 ),
inference(avatar_split_clause,[],[f385,f747,f743,f739,f735,f731]) ).
fof(f385,plain,
( e4 = op(e4,e3)
| e3 = op(e4,e3)
| e2 = op(e4,e3)
| e0 = op(e4,e3)
| e1 = op(e4,e3) ),
inference(cnf_transformation,[],[f1]) ).
fof(f689,plain,
( ~ spl34_52
| spl34_63 ),
inference(avatar_split_clause,[],[f165,f686,f639]) ).
fof(f165,plain,
( e4 = op(e4,op(e4,e4))
| ~ sP2 ),
inference(cnf_transformation,[],[f76]) ).
fof(f555,plain,
( spl34_32
| ~ spl34_14 ),
inference(avatar_split_clause,[],[f114,f475,f552]) ).
fof(f114,plain,
( ~ sP22
| e2 = op(op(e2,e3),e3) ),
inference(cnf_transformation,[],[f56]) ).
fof(f56,plain,
( ( e2 = op(op(e2,e3),e3)
& e3 != op(op(e2,e3),e2)
& op(e2,e3) != op(e3,e2) )
| ~ sP22 ),
inference(nnf_transformation,[],[f32]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : ALG057+1 : TPTP v8.1.0. Released v2.7.0.
% 0.03/0.12 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.33 % Computer : n016.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Mon Aug 29 15:14:59 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.19/0.50 % (30052)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.19/0.50 % (30032)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)
% 0.19/0.51 % (30044)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.19/0.51 % (30036)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)
% 0.19/0.51 % (30035)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.19/0.51 % (30040)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.19/0.51 % (30035)Instruction limit reached!
% 0.19/0.51 % (30035)------------------------------
% 0.19/0.51 % (30035)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.51 % (30035)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.51 % (30035)Termination reason: Unknown
% 0.19/0.51 % (30035)Termination phase: Preprocessing 2
% 0.19/0.51
% 0.19/0.51 % (30035)Memory used [KB]: 1023
% 0.19/0.51 % (30035)Time elapsed: 0.002 s
% 0.19/0.51 % (30035)Instructions burned: 2 (million)
% 0.19/0.51 % (30035)------------------------------
% 0.19/0.51 % (30035)------------------------------
% 0.19/0.52 % (30033)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)
% 0.19/0.52 % (30031)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.52 % (30041)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)
% 0.19/0.52 % (30056)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)
% 0.19/0.52 % (30030)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)
% 0.19/0.52 % (30042)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)
% 0.19/0.52 % (30029)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)
% 0.19/0.52 % (30039)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.19/0.52 % (30034)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.19/0.53 % (30037)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.19/0.53 % (30034)Instruction limit reached!
% 0.19/0.53 % (30034)------------------------------
% 0.19/0.53 % (30034)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53 % (30034)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53 % (30034)Termination reason: Unknown
% 0.19/0.53 % (30034)Termination phase: Saturation
% 0.19/0.53
% 0.19/0.53 % (30034)Memory used [KB]: 5628
% 0.19/0.53 % (30034)Time elapsed: 0.005 s
% 0.19/0.53 % (30034)Instructions burned: 9 (million)
% 0.19/0.53 % (30034)------------------------------
% 0.19/0.53 % (30034)------------------------------
% 0.19/0.53 % (30038)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)
% 0.19/0.53 % (30028)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)
% 0.19/0.53 % (30027)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)
% 0.19/0.53 % (30049)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)
% 0.19/0.53 % (30055)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.19/0.54 % (30051)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.19/0.54 % (30053)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)
% 0.19/0.54 % (30054)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)
% 0.19/0.54 % (30047)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)
% 0.19/0.54 % (30046)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)
% 0.19/0.54 % (30045)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.19/0.54 % (30043)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)
% 0.19/0.54 % (30048)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.19/0.56 % (30050)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)
% 1.64/0.56 % (30032)Instruction limit reached!
% 1.64/0.56 % (30032)------------------------------
% 1.64/0.56 % (30032)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.81/0.59 % (30029)Instruction limit reached!
% 1.81/0.59 % (30029)------------------------------
% 1.81/0.59 % (30029)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.81/0.59 % (30029)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.81/0.59 % (30029)Termination reason: Unknown
% 1.81/0.59 % (30029)Termination phase: Saturation
% 1.81/0.59
% 1.81/0.59 % (30029)Memory used [KB]: 1407
% 1.81/0.59 % (30029)Time elapsed: 0.185 s
% 1.81/0.59 % (30029)Instructions burned: 37 (million)
% 1.81/0.59 % (30029)------------------------------
% 1.81/0.59 % (30029)------------------------------
% 1.81/0.59 % (30032)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.81/0.59 % (30032)Termination reason: Unknown
% 1.81/0.59 % (30032)Termination phase: Saturation
% 1.81/0.59
% 1.81/0.59 % (30032)Memory used [KB]: 6652
% 1.81/0.59 % (30032)Time elapsed: 0.165 s
% 1.81/0.59 % (30032)Instructions burned: 48 (million)
% 1.81/0.59 % (30032)------------------------------
% 1.81/0.59 % (30032)------------------------------
% 1.81/0.59 % (30037)Instruction limit reached!
% 1.81/0.59 % (30037)------------------------------
% 1.81/0.59 % (30037)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.81/0.59 % (30037)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.81/0.59 % (30037)Termination reason: Unknown
% 1.81/0.59 % (30037)Termination phase: Saturation
% 1.81/0.59
% 1.81/0.59 % (30037)Memory used [KB]: 7036
% 1.81/0.59 % (30037)Time elapsed: 0.034 s
% 1.81/0.59 % (30037)Instructions burned: 50 (million)
% 1.81/0.59 % (30037)------------------------------
% 1.81/0.59 % (30037)------------------------------
% 1.81/0.60 % (30044)Instruction limit reached!
% 1.81/0.60 % (30044)------------------------------
% 1.81/0.60 % (30044)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.81/0.60 % (30033)Instruction limit reached!
% 1.81/0.60 % (30033)------------------------------
% 1.81/0.60 % (30033)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.81/0.60 % (30033)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.81/0.60 % (30033)Termination reason: Unknown
% 1.81/0.60 % (30033)Termination phase: Finite model building preprocessing
% 1.81/0.60
% 1.81/0.60 % (30033)Memory used [KB]: 7547
% 1.81/0.60 % (30033)Time elapsed: 0.022 s
% 1.81/0.60 % (30033)Instructions burned: 51 (million)
% 1.81/0.60 % (30033)------------------------------
% 1.81/0.60 % (30033)------------------------------
% 1.81/0.60 % (30036)Instruction limit reached!
% 1.81/0.60 % (30036)------------------------------
% 1.81/0.60 % (30036)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.81/0.60 % (30036)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.81/0.60 % (30036)Termination reason: Unknown
% 1.81/0.60 % (30036)Termination phase: Saturation
% 1.81/0.60
% 1.81/0.60 % (30036)Memory used [KB]: 1535
% 1.81/0.60 % (30036)Time elapsed: 0.187 s
% 1.81/0.60 % (30036)Instructions burned: 51 (million)
% 1.81/0.60 % (30036)------------------------------
% 1.81/0.60 % (30036)------------------------------
% 1.81/0.60 % (30044)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.81/0.60 % (30044)Termination reason: Unknown
% 1.81/0.60 % (30044)Termination phase: Finite model building preprocessing
% 1.81/0.60
% 1.81/0.60 % (30044)Memory used [KB]: 7675
% 1.81/0.60 % (30044)Time elapsed: 0.039 s
% 1.81/0.60 % (30044)Instructions burned: 60 (million)
% 1.81/0.60 % (30044)------------------------------
% 1.81/0.60 % (30044)------------------------------
% 1.81/0.60 % (30030)Instruction limit reached!
% 1.81/0.60 % (30030)------------------------------
% 1.81/0.60 % (30030)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.81/0.60 % (30030)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.81/0.60 % (30030)Termination reason: Unknown
% 1.81/0.60 % (30030)Termination phase: Saturation
% 1.81/0.60
% 1.81/0.60 % (30030)Memory used [KB]: 7036
% 1.81/0.60 % (30030)Time elapsed: 0.024 s
% 1.81/0.60 % (30030)Instructions burned: 51 (million)
% 1.81/0.60 % (30030)------------------------------
% 1.81/0.60 % (30030)------------------------------
% 1.81/0.61 % (30028)Instruction limit reached!
% 1.81/0.61 % (30028)------------------------------
% 1.81/0.61 % (30028)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.81/0.61 % (30028)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.81/0.61 % (30028)Termination reason: Unknown
% 1.81/0.61 % (30028)Termination phase: Saturation
% 1.81/0.61
% 1.81/0.61 % (30028)Memory used [KB]: 6780
% 1.81/0.61 % (30028)Time elapsed: 0.033 s
% 1.81/0.61 % (30028)Instructions burned: 51 (million)
% 1.81/0.61 % (30028)------------------------------
% 1.81/0.61 % (30028)------------------------------
% 1.81/0.61 TRYING [5]
% 1.81/0.62 % (30031)Instruction limit reached!
% 1.81/0.62 % (30031)------------------------------
% 1.81/0.62 % (30031)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.81/0.62 % (30031)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.81/0.62 % (30031)Termination reason: Unknown
% 1.81/0.62 % (30031)Termination phase: Saturation
% 1.81/0.62
% 1.81/0.62 % (30031)Memory used [KB]: 6780
% 1.81/0.62 % (30031)Time elapsed: 0.025 s
% 1.81/0.62 % (30031)Instructions burned: 51 (million)
% 1.81/0.62 % (30031)------------------------------
% 1.81/0.62 % (30031)------------------------------
% 2.19/0.63 % (30041)Instruction limit reached!
% 2.19/0.63 % (30041)------------------------------
% 2.19/0.63 % (30041)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.19/0.63 % (30041)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.19/0.63 % (30041)Termination reason: Unknown
% 2.19/0.63 % (30041)Termination phase: Saturation
% 2.19/0.63
% 2.19/0.63 % (30041)Memory used [KB]: 6780
% 2.19/0.63 % (30041)Time elapsed: 0.033 s
% 2.19/0.63 % (30041)Instructions burned: 68 (million)
% 2.19/0.63 % (30041)------------------------------
% 2.19/0.63 % (30041)------------------------------
% 2.19/0.63 % (30053)Instruction limit reached!
% 2.19/0.63 % (30053)------------------------------
% 2.19/0.63 % (30053)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.19/0.63 % (30053)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.19/0.63 % (30053)Termination reason: Unknown
% 2.19/0.63 % (30053)Termination phase: Saturation
% 2.19/0.63
% 2.19/0.63 % (30053)Memory used [KB]: 6780
% 2.19/0.63 % (30053)Time elapsed: 0.041 s
% 2.19/0.63 % (30053)Instructions burned: 68 (million)
% 2.19/0.63 % (30053)------------------------------
% 2.19/0.63 % (30053)------------------------------
% 2.31/0.65 % (30057)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=388:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/388Mi)
% 2.31/0.66 % (30058)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=211:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/211Mi)
% 2.31/0.66 % (30042)Instruction limit reached!
% 2.31/0.66 % (30042)------------------------------
% 2.31/0.66 % (30042)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.31/0.66 % (30042)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.31/0.66 % (30042)Termination reason: Unknown
% 2.31/0.66 % (30042)Termination phase: Saturation
% 2.31/0.66
% 2.31/0.66 % (30042)Memory used [KB]: 1663
% 2.31/0.66 % (30042)Time elapsed: 0.275 s
% 2.31/0.66 % (30042)Instructions burned: 76 (million)
% 2.31/0.66 % (30042)------------------------------
% 2.31/0.66 % (30042)------------------------------
% 2.31/0.66 % (30038)Instruction limit reached!
% 2.31/0.66 % (30038)------------------------------
% 2.31/0.66 % (30038)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.31/0.66 % (30038)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.31/0.66 % (30038)Termination reason: Unknown
% 2.31/0.66 % (30038)Termination phase: Saturation
% 2.31/0.66
% 2.31/0.66 % (30038)Memory used [KB]: 7803
% 2.31/0.66 % (30038)Time elapsed: 0.267 s
% 2.31/0.66 % (30038)Instructions burned: 101 (million)
% 2.31/0.66 % (30038)------------------------------
% 2.31/0.66 % (30038)------------------------------
% 2.31/0.67 % (30040)Instruction limit reached!
% 2.31/0.67 % (30040)------------------------------
% 2.31/0.67 % (30040)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.31/0.67 % (30040)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.31/0.67 % (30040)Termination reason: Unknown
% 2.31/0.67 % (30040)Termination phase: Saturation
% 2.31/0.67
% 2.31/0.67 % (30040)Memory used [KB]: 7164
% 2.31/0.67 % (30040)Time elapsed: 0.278 s
% 2.31/0.67 % (30040)Instructions burned: 99 (million)
% 2.31/0.67 % (30040)------------------------------
% 2.31/0.67 % (30040)------------------------------
% 2.31/0.67 % (30048)First to succeed.
% 2.31/0.68 % (30039)Instruction limit reached!
% 2.31/0.68 % (30039)------------------------------
% 2.31/0.68 % (30039)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.31/0.68 % (30039)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.31/0.68 % (30039)Termination reason: Unknown
% 2.31/0.68 % (30039)Termination phase: Saturation
% 2.31/0.68
% 2.31/0.68 % (30039)Memory used [KB]: 7164
% 2.31/0.68 % (30039)Time elapsed: 0.264 s
% 2.31/0.68 % (30039)Instructions burned: 101 (million)
% 2.31/0.68 % (30039)------------------------------
% 2.31/0.68 % (30039)------------------------------
% 2.31/0.69 % (30045)Instruction limit reached!
% 2.31/0.69 % (30045)------------------------------
% 2.31/0.69 % (30045)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.31/0.69 % (30045)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.31/0.69 % (30045)Termination reason: Unknown
% 2.31/0.69 % (30045)Termination phase: Saturation
% 2.31/0.69
% 2.31/0.69 % (30045)Memory used [KB]: 7291
% 2.31/0.69 % (30045)Time elapsed: 0.064 s
% 2.31/0.69 % (30045)Instructions burned: 102 (million)
% 2.31/0.69 % (30045)------------------------------
% 2.31/0.69 % (30045)------------------------------
% 2.31/0.70 % (30046)Instruction limit reached!
% 2.31/0.70 % (30046)------------------------------
% 2.31/0.70 % (30046)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.31/0.70 % (30046)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.31/0.70 % (30046)Termination reason: Unknown
% 2.31/0.70 % (30046)Termination phase: Saturation
% 2.31/0.70
% 2.31/0.70 % (30046)Memory used [KB]: 1535
% 2.31/0.70 % (30046)Time elapsed: 0.282 s
% 2.31/0.70 % (30046)Instructions burned: 101 (million)
% 2.31/0.70 % (30046)------------------------------
% 2.31/0.70 % (30046)------------------------------
% 2.31/0.70 % (30048)Refutation found. Thanks to Tanya!
% 2.31/0.70 % SZS status Theorem for theBenchmark
% 2.31/0.70 % SZS output start Proof for theBenchmark
% See solution above
% 2.31/0.71 % (30048)------------------------------
% 2.31/0.71 % (30048)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.31/0.71 % (30048)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.31/0.71 % (30048)Termination reason: Refutation
% 2.31/0.71
% 2.31/0.71 % (30048)Memory used [KB]: 7803
% 2.31/0.71 % (30048)Time elapsed: 0.050 s
% 2.31/0.71 % (30048)Instructions burned: 81 (million)
% 2.31/0.71 % (30048)------------------------------
% 2.31/0.71 % (30048)------------------------------
% 2.31/0.71 % (30026)Success in time 0.372 s
%------------------------------------------------------------------------------