TSTP Solution File: ALG057+1 by Vampire---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : ALG057+1 : TPTP v8.2.0. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% Computer : n006.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Mon May 20 18:17:45 EDT 2024
% Result : Theorem 1.37s 0.90s
% Output : Refutation 1.37s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 201
% Syntax : Number of formulae : 947 ( 84 unt; 0 def)
% Number of atoms : 3307 (1745 equ)
% Maximal formula atoms : 250 ( 3 avg)
% Number of connectives : 3941 (1581 ~;1638 |; 562 &)
% ( 160 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 101 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 196 ( 194 usr; 195 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 6 con; 0-2 aty)
% Number of variables : 0 ( 0 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f4205,plain,
$false,
inference(avatar_sat_refutation,[],[f427,f437,f446,f451,f465,f475,f484,f489,f508,f520,f534,f539,f548,f558,f567,f572,f577,f591,f601,f607,f618,f632,f637,f651,f656,f670,f671,f685,f686,f700,f701,f712,f731,f745,f746,f760,f761,f770,f776,f791,f802,f941,f1186,f1203,f1296,f1309,f1356,f1369,f1386,f1416,f1464,f1517,f1539,f1548,f1553,f1562,f1567,f1576,f1615,f1620,f1633,f1660,f1662,f1663,f1668,f1674,f1675,f1677,f1679,f1683,f1686,f1787,f1791,f1794,f1797,f1807,f1884,f1912,f1969,f2017,f2032,f2070,f2167,f2201,f2211,f2233,f2254,f2289,f2371,f2418,f2465,f2471,f2527,f2538,f2551,f2557,f2576,f2585,f2604,f2688,f2753,f2759,f2776,f2778,f2799,f2805,f2810,f2816,f2823,f2837,f2839,f2843,f2845,f2847,f2849,f2851,f2853,f2855,f2915,f2921,f2936,f2974,f2989,f3021,f3024,f3039,f3041,f3044,f3064,f3102,f3273,f3285,f3294,f3305,f3315,f3319,f3338,f3355,f3362,f3368,f3378,f3380,f3392,f3401,f3403,f3408,f3411,f3420,f3424,f3431,f3434,f3450,f3451,f3458,f3489,f3528,f3576,f3589,f3592,f3615,f3619,f3635,f3653,f3660,f3675,f3678,f3685,f3690,f3691,f3700,f3703,f3706,f3709,f3711,f3712,f3721,f3743,f3759,f3761,f3763,f3765,f3767,f3769,f3771,f3773,f3831,f3839,f3848,f3862,f3970,f3982,f3990,f3993,f4010,f4032,f4036,f4043,f4046,f4053,f4060,f4063,f4066,f4071,f4076,f4078,f4080,f4082,f4084,f4093,f4095,f4100,f4106,f4110,f4114,f4117,f4122,f4164,f4170,f4172,f4178,f4179,f4184,f4198]) ).
fof(f4198,plain,
( ~ spl34_157
| ~ spl34_175 ),
inference(avatar_contradiction_clause,[],[f4197]) ).
fof(f4197,plain,
( $false
| ~ spl34_157
| ~ spl34_175 ),
inference(subsumption_resolution,[],[f4196,f219]) ).
fof(f219,plain,
e0 != e2,
inference(cnf_transformation,[],[f5]) ).
fof(f5,axiom,
( e3 != e4
& e2 != e4
& e2 != e3
& e1 != e4
& e1 != e3
& e1 != e2
& e0 != e4
& e0 != e3
& e0 != e2
& e0 != e1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax5) ).
fof(f4196,plain,
( e0 = e2
| ~ spl34_157
| ~ spl34_175 ),
inference(forward_demodulation,[],[f1185,f1261]) ).
fof(f1261,plain,
( e0 = op(e4,e4)
| ~ spl34_175 ),
inference(avatar_component_clause,[],[f1259]) ).
fof(f1259,plain,
( spl34_175
<=> e0 = op(e4,e4) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_175])]) ).
fof(f1185,plain,
( e2 = op(e4,e4)
| ~ spl34_157 ),
inference(avatar_component_clause,[],[f1183]) ).
fof(f1183,plain,
( spl34_157
<=> e2 = op(e4,e4) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_157])]) ).
fof(f4184,plain,
( ~ spl34_162
| ~ spl34_165 ),
inference(avatar_split_clause,[],[f3193,f1217,f1205]) ).
fof(f1205,plain,
( spl34_162
<=> e1 = op(e0,e4) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_162])]) ).
fof(f1217,plain,
( spl34_165
<=> e1 = op(e3,e4) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_165])]) ).
fof(f3193,plain,
( e1 != op(e0,e4)
| ~ spl34_165 ),
inference(forward_demodulation,[],[f270,f1219]) ).
fof(f1219,plain,
( e1 = op(e3,e4)
| ~ spl34_165 ),
inference(avatar_component_clause,[],[f1217]) ).
fof(f270,plain,
op(e0,e4) != op(e3,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f4,axiom,
( op(e4,e3) != op(e4,e4)
& op(e4,e2) != op(e4,e4)
& op(e4,e2) != op(e4,e3)
& op(e4,e1) != op(e4,e4)
& op(e4,e1) != op(e4,e3)
& op(e4,e1) != op(e4,e2)
& op(e4,e0) != op(e4,e4)
& op(e4,e0) != op(e4,e3)
& op(e4,e0) != op(e4,e2)
& op(e4,e0) != op(e4,e1)
& op(e3,e3) != op(e3,e4)
& op(e3,e2) != op(e3,e4)
& op(e3,e2) != op(e3,e3)
& op(e3,e1) != op(e3,e4)
& op(e3,e1) != op(e3,e3)
& op(e3,e1) != op(e3,e2)
& op(e3,e0) != op(e3,e4)
& op(e3,e0) != op(e3,e3)
& op(e3,e0) != op(e3,e2)
& op(e3,e0) != op(e3,e1)
& op(e2,e3) != op(e2,e4)
& op(e2,e2) != op(e2,e4)
& op(e2,e2) != op(e2,e3)
& op(e2,e1) != op(e2,e4)
& op(e2,e1) != op(e2,e3)
& op(e2,e1) != op(e2,e2)
& op(e2,e0) != op(e2,e4)
& op(e2,e0) != op(e2,e3)
& op(e2,e0) != op(e2,e2)
& op(e2,e0) != op(e2,e1)
& op(e1,e3) != op(e1,e4)
& op(e1,e2) != op(e1,e4)
& op(e1,e2) != op(e1,e3)
& op(e1,e1) != op(e1,e4)
& op(e1,e1) != op(e1,e3)
& op(e1,e1) != op(e1,e2)
& op(e1,e0) != op(e1,e4)
& op(e1,e0) != op(e1,e3)
& op(e1,e0) != op(e1,e2)
& op(e1,e0) != op(e1,e1)
& op(e0,e3) != op(e0,e4)
& op(e0,e2) != op(e0,e4)
& op(e0,e2) != op(e0,e3)
& op(e0,e1) != op(e0,e4)
& op(e0,e1) != op(e0,e3)
& op(e0,e1) != op(e0,e2)
& op(e0,e0) != op(e0,e4)
& op(e0,e0) != op(e0,e3)
& op(e0,e0) != op(e0,e2)
& op(e0,e0) != op(e0,e1)
& op(e3,e4) != op(e4,e4)
& op(e2,e4) != op(e4,e4)
& op(e2,e4) != op(e3,e4)
& op(e1,e4) != op(e4,e4)
& op(e1,e4) != op(e3,e4)
& op(e1,e4) != op(e2,e4)
& op(e0,e4) != op(e4,e4)
& op(e0,e4) != op(e3,e4)
& op(e0,e4) != op(e2,e4)
& op(e0,e4) != op(e1,e4)
& op(e3,e3) != op(e4,e3)
& op(e2,e3) != op(e4,e3)
& op(e2,e3) != op(e3,e3)
& op(e1,e3) != op(e4,e3)
& op(e1,e3) != op(e3,e3)
& op(e1,e3) != op(e2,e3)
& op(e0,e3) != op(e4,e3)
& op(e0,e3) != op(e3,e3)
& op(e0,e3) != op(e2,e3)
& op(e0,e3) != op(e1,e3)
& op(e3,e2) != op(e4,e2)
& op(e2,e2) != op(e4,e2)
& op(e2,e2) != op(e3,e2)
& op(e1,e2) != op(e4,e2)
& op(e1,e2) != op(e3,e2)
& op(e1,e2) != op(e2,e2)
& op(e0,e2) != op(e4,e2)
& op(e0,e2) != op(e3,e2)
& op(e0,e2) != op(e2,e2)
& op(e0,e2) != op(e1,e2)
& op(e3,e1) != op(e4,e1)
& op(e2,e1) != op(e4,e1)
& op(e2,e1) != op(e3,e1)
& op(e1,e1) != op(e4,e1)
& op(e1,e1) != op(e3,e1)
& op(e1,e1) != op(e2,e1)
& op(e0,e1) != op(e4,e1)
& op(e0,e1) != op(e3,e1)
& op(e0,e1) != op(e2,e1)
& op(e0,e1) != op(e1,e1)
& op(e3,e0) != op(e4,e0)
& op(e2,e0) != op(e4,e0)
& op(e2,e0) != op(e3,e0)
& op(e1,e0) != op(e4,e0)
& op(e1,e0) != op(e3,e0)
& op(e1,e0) != op(e2,e0)
& op(e0,e0) != op(e4,e0)
& op(e0,e0) != op(e3,e0)
& op(e0,e0) != op(e2,e0)
& op(e0,e0) != op(e1,e0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax4) ).
fof(f4179,plain,
( ~ spl34_170
| spl34_4
| ~ spl34_165 ),
inference(avatar_split_clause,[],[f4167,f1217,f434,f1238]) ).
fof(f1238,plain,
( spl34_170
<=> e1 = op(e4,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_170])]) ).
fof(f434,plain,
( spl34_4
<=> op(e3,e4) = op(e4,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_4])]) ).
fof(f4167,plain,
( e1 != op(e4,e3)
| spl34_4
| ~ spl34_165 ),
inference(forward_demodulation,[],[f436,f1219]) ).
fof(f436,plain,
( op(e3,e4) != op(e4,e3)
| spl34_4 ),
inference(avatar_component_clause,[],[f434]) ).
fof(f4178,plain,
( ~ spl34_170
| spl34_55
| ~ spl34_181 ),
inference(avatar_split_clause,[],[f4173,f1285,f682,f1238]) ).
fof(f682,plain,
( spl34_55
<=> e1 = op(op(e1,e3),e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_55])]) ).
fof(f1285,plain,
( spl34_181
<=> e4 = op(e1,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_181])]) ).
fof(f4173,plain,
( e1 != op(e4,e3)
| spl34_55
| ~ spl34_181 ),
inference(forward_demodulation,[],[f683,f1287]) ).
fof(f1287,plain,
( e4 = op(e1,e3)
| ~ spl34_181 ),
inference(avatar_component_clause,[],[f1285]) ).
fof(f683,plain,
( e1 != op(op(e1,e3),e3)
| spl34_55 ),
inference(avatar_component_clause,[],[f682]) ).
fof(f4172,plain,
( ~ spl34_152
| ~ spl34_187 ),
inference(avatar_split_clause,[],[f4171,f1311,f1162]) ).
fof(f1162,plain,
( spl34_152
<=> e3 = op(e4,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_152])]) ).
fof(f1311,plain,
( spl34_187
<=> e3 = op(e0,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_187])]) ).
fof(f4171,plain,
( e3 != op(e4,e3)
| ~ spl34_187 ),
inference(forward_demodulation,[],[f261,f1313]) ).
fof(f1313,plain,
( e3 = op(e0,e3)
| ~ spl34_187 ),
inference(avatar_component_clause,[],[f1311]) ).
fof(f261,plain,
op(e0,e3) != op(e4,e3),
inference(cnf_transformation,[],[f4]) ).
fof(f4170,plain,
( ~ spl34_143
| ~ spl34_140 ),
inference(avatar_split_clause,[],[f4169,f1112,f1124]) ).
fof(f1124,plain,
( spl34_143
<=> e4 = op(e4,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_143])]) ).
fof(f1112,plain,
( spl34_140
<=> e4 = op(e4,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_140])]) ).
fof(f4169,plain,
( e4 != op(e4,e3)
| ~ spl34_140 ),
inference(forward_demodulation,[],[f320,f1114]) ).
fof(f1114,plain,
( e4 = op(e4,e0)
| ~ spl34_140 ),
inference(avatar_component_clause,[],[f1112]) ).
fof(f320,plain,
op(e4,e0) != op(e4,e3),
inference(cnf_transformation,[],[f4]) ).
fof(f4164,plain,
( ~ spl34_185
| ~ spl34_199 ),
inference(avatar_contradiction_clause,[],[f4163]) ).
fof(f4163,plain,
( $false
| ~ spl34_185
| ~ spl34_199 ),
inference(subsumption_resolution,[],[f4161,f226]) ).
fof(f226,plain,
e2 != e4,
inference(cnf_transformation,[],[f5]) ).
fof(f4161,plain,
( e2 = e4
| ~ spl34_185
| ~ spl34_199 ),
inference(backward_demodulation,[],[f1304,f1364]) ).
fof(f1364,plain,
( e2 = op(e3,e1)
| ~ spl34_199 ),
inference(avatar_component_clause,[],[f1362]) ).
fof(f1362,plain,
( spl34_199
<=> e2 = op(e3,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_199])]) ).
fof(f1304,plain,
( e4 = op(e3,e1)
| ~ spl34_185 ),
inference(avatar_component_clause,[],[f1302]) ).
fof(f1302,plain,
( spl34_185
<=> e4 = op(e3,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_185])]) ).
fof(f4122,plain,
( ~ spl34_192
| ~ spl34_191 ),
inference(avatar_split_clause,[],[f4121,f1328,f1332]) ).
fof(f1332,plain,
( spl34_192
<=> e3 = op(e3,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_192])]) ).
fof(f1328,plain,
( spl34_191
<=> e3 = op(e3,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_191])]) ).
fof(f4121,plain,
( e3 != op(e3,e1)
| ~ spl34_191 ),
inference(forward_demodulation,[],[f308,f1330]) ).
fof(f1330,plain,
( e3 = op(e3,e0)
| ~ spl34_191 ),
inference(avatar_component_clause,[],[f1328]) ).
fof(f308,plain,
op(e3,e0) != op(e3,e1),
inference(cnf_transformation,[],[f4]) ).
fof(f4117,plain,
( ~ spl34_159
| ~ spl34_161 ),
inference(avatar_split_clause,[],[f3746,f1200,f1192]) ).
fof(f1192,plain,
( spl34_159
<=> e2 = op(e4,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_159])]) ).
fof(f1200,plain,
( spl34_161
<=> e2 = op(e4,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_161])]) ).
fof(f3746,plain,
( e2 != op(e4,e1)
| ~ spl34_161 ),
inference(forward_demodulation,[],[f323,f1202]) ).
fof(f1202,plain,
( e2 = op(e4,e3)
| ~ spl34_161 ),
inference(avatar_component_clause,[],[f1200]) ).
fof(f323,plain,
op(e4,e1) != op(e4,e3),
inference(cnf_transformation,[],[f4]) ).
fof(f4114,plain,
( ~ spl34_141
| ~ spl34_140 ),
inference(avatar_split_clause,[],[f4113,f1112,f1116]) ).
fof(f1116,plain,
( spl34_141
<=> e4 = op(e4,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_141])]) ).
fof(f4113,plain,
( e4 != op(e4,e1)
| ~ spl34_140 ),
inference(forward_demodulation,[],[f318,f1114]) ).
fof(f318,plain,
op(e4,e0) != op(e4,e1),
inference(cnf_transformation,[],[f4]) ).
fof(f4110,plain,
( ~ spl34_203
| spl34_27
| ~ spl34_199 ),
inference(avatar_split_clause,[],[f4109,f1362,f545,f1379]) ).
fof(f1379,plain,
( spl34_203
<=> e1 = op(e2,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_203])]) ).
fof(f545,plain,
( spl34_27
<=> e1 = op(op(e3,e1),e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_27])]) ).
fof(f4109,plain,
( e1 != op(e2,e3)
| spl34_27
| ~ spl34_199 ),
inference(forward_demodulation,[],[f547,f1364]) ).
fof(f547,plain,
( e1 != op(op(e3,e1),e3)
| spl34_27 ),
inference(avatar_component_clause,[],[f545]) ).
fof(f4106,plain,
( ~ spl34_234
| ~ spl34_249 ),
inference(avatar_split_clause,[],[f4105,f1583,f1514]) ).
fof(f1514,plain,
( spl34_234
<=> e1 = op(e2,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_234])]) ).
fof(f1583,plain,
( spl34_249
<=> e1 = op(e0,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_249])]) ).
fof(f4105,plain,
( e1 != op(e2,e1)
| ~ spl34_249 ),
inference(forward_demodulation,[],[f239,f1585]) ).
fof(f1585,plain,
( e1 = op(e0,e1)
| ~ spl34_249 ),
inference(avatar_component_clause,[],[f1583]) ).
fof(f239,plain,
op(e0,e1) != op(e2,e1),
inference(cnf_transformation,[],[f4]) ).
fof(f4100,plain,
( ~ spl34_229
| ~ spl34_228 ),
inference(avatar_split_clause,[],[f4099,f1488,f1492]) ).
fof(f1492,plain,
( spl34_229
<=> e2 = op(e2,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_229])]) ).
fof(f1488,plain,
( spl34_228
<=> e2 = op(e2,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_228])]) ).
fof(f4099,plain,
( e2 != op(e2,e1)
| ~ spl34_228 ),
inference(forward_demodulation,[],[f298,f1490]) ).
fof(f1490,plain,
( e2 = op(e2,e0)
| ~ spl34_228 ),
inference(avatar_component_clause,[],[f1488]) ).
fof(f298,plain,
op(e2,e0) != op(e2,e1),
inference(cnf_transformation,[],[f4]) ).
fof(f4095,plain,
( ~ spl34_200
| ~ spl34_225 ),
inference(avatar_split_clause,[],[f4094,f1475,f1366]) ).
fof(f1366,plain,
( spl34_200
<=> e2 = op(e3,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_200])]) ).
fof(f1475,plain,
( spl34_225
<=> e2 = op(e0,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_225])]) ).
fof(f4094,plain,
( e2 != op(e3,e2)
| ~ spl34_225 ),
inference(forward_demodulation,[],[f250,f1477]) ).
fof(f1477,plain,
( e2 = op(e0,e2)
| ~ spl34_225 ),
inference(avatar_component_clause,[],[f1475]) ).
fof(f250,plain,
op(e0,e2) != op(e3,e2),
inference(cnf_transformation,[],[f4]) ).
fof(f4093,plain,
( ~ spl34_193
| ~ spl34_191 ),
inference(avatar_split_clause,[],[f4092,f1328,f1336]) ).
fof(f1336,plain,
( spl34_193
<=> e3 = op(e3,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_193])]) ).
fof(f4092,plain,
( e3 != op(e3,e2)
| ~ spl34_191 ),
inference(forward_demodulation,[],[f309,f1330]) ).
fof(f309,plain,
op(e3,e0) != op(e3,e2),
inference(cnf_transformation,[],[f4]) ).
fof(f4084,plain,
( ~ spl34_188
| ~ spl34_187 ),
inference(avatar_split_clause,[],[f4083,f1311,f1315]) ).
fof(f1315,plain,
( spl34_188
<=> e3 = op(e1,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_188])]) ).
fof(f4083,plain,
( e3 != op(e1,e3)
| ~ spl34_187 ),
inference(forward_demodulation,[],[f258,f1313]) ).
fof(f258,plain,
op(e0,e3) != op(e1,e3),
inference(cnf_transformation,[],[f4]) ).
fof(f4082,plain,
( ~ spl34_202
| ~ spl34_251 ),
inference(avatar_split_clause,[],[f4081,f1592,f1375]) ).
fof(f1375,plain,
( spl34_202
<=> e1 = op(e1,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_202])]) ).
fof(f1592,plain,
( spl34_251
<=> e1 = op(e1,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_251])]) ).
fof(f4081,plain,
( e1 != op(e1,e3)
| ~ spl34_251 ),
inference(forward_demodulation,[],[f290,f1594]) ).
fof(f1594,plain,
( e1 = op(e1,e0)
| ~ spl34_251 ),
inference(avatar_component_clause,[],[f1592]) ).
fof(f290,plain,
op(e1,e0) != op(e1,e3),
inference(cnf_transformation,[],[f4]) ).
fof(f4080,plain,
( ~ spl34_181
| ~ spl34_241 ),
inference(avatar_split_clause,[],[f4079,f1545,f1285]) ).
fof(f1545,plain,
( spl34_241
<=> e4 = op(e1,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_241])]) ).
fof(f4079,plain,
( e4 != op(e1,e3)
| ~ spl34_241 ),
inference(forward_demodulation,[],[f293,f1547]) ).
fof(f1547,plain,
( e4 = op(e1,e1)
| ~ spl34_241 ),
inference(avatar_component_clause,[],[f1545]) ).
fof(f293,plain,
op(e1,e1) != op(e1,e3),
inference(cnf_transformation,[],[f4]) ).
fof(f4078,plain,
( ~ spl34_188
| ~ spl34_221 ),
inference(avatar_split_clause,[],[f4077,f1457,f1315]) ).
fof(f1457,plain,
( spl34_221
<=> e3 = op(e1,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_221])]) ).
fof(f4077,plain,
( e3 != op(e1,e3)
| ~ spl34_221 ),
inference(forward_demodulation,[],[f295,f1459]) ).
fof(f1459,plain,
( e3 = op(e1,e2)
| ~ spl34_221 ),
inference(avatar_component_clause,[],[f1457]) ).
fof(f295,plain,
op(e1,e2) != op(e1,e3),
inference(cnf_transformation,[],[f4]) ).
fof(f4076,plain,
( ~ spl34_195
| ~ spl34_154 ),
inference(avatar_split_clause,[],[f3961,f1171,f1345]) ).
fof(f1345,plain,
( spl34_195
<=> e2 = op(e1,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_195])]) ).
fof(f1171,plain,
( spl34_154
<=> e2 = op(e1,e4) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_154])]) ).
fof(f3961,plain,
( e2 != op(e1,e3)
| ~ spl34_154 ),
inference(forward_demodulation,[],[f297,f1173]) ).
fof(f1173,plain,
( e2 = op(e1,e4)
| ~ spl34_154 ),
inference(avatar_component_clause,[],[f1171]) ).
fof(f297,plain,
op(e1,e3) != op(e1,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f4071,plain,
( ~ spl34_160
| ~ spl34_225 ),
inference(avatar_split_clause,[],[f4070,f1475,f1196]) ).
fof(f1196,plain,
( spl34_160
<=> e2 = op(e4,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_160])]) ).
fof(f4070,plain,
( e2 != op(e4,e2)
| ~ spl34_225 ),
inference(forward_demodulation,[],[f251,f1477]) ).
fof(f251,plain,
op(e0,e2) != op(e4,e2),
inference(cnf_transformation,[],[f4]) ).
fof(f4066,plain,
( ~ spl34_160
| ~ spl34_161 ),
inference(avatar_split_clause,[],[f3572,f1200,f1196]) ).
fof(f3572,plain,
( e2 != op(e4,e2)
| ~ spl34_161 ),
inference(forward_demodulation,[],[f325,f1202]) ).
fof(f325,plain,
op(e4,e2) != op(e4,e3),
inference(cnf_transformation,[],[f4]) ).
fof(f4063,plain,
( ~ spl34_151
| ~ spl34_150 ),
inference(avatar_split_clause,[],[f4062,f1154,f1158]) ).
fof(f1158,plain,
( spl34_151
<=> e3 = op(e4,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_151])]) ).
fof(f1154,plain,
( spl34_150
<=> e3 = op(e4,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_150])]) ).
fof(f4062,plain,
( e3 != op(e4,e2)
| ~ spl34_150 ),
inference(forward_demodulation,[],[f322,f1156]) ).
fof(f1156,plain,
( e3 = op(e4,e1)
| ~ spl34_150 ),
inference(avatar_component_clause,[],[f1154]) ).
fof(f322,plain,
op(e4,e1) != op(e4,e2),
inference(cnf_transformation,[],[f4]) ).
fof(f4060,plain,
( ~ spl34_44
| ~ spl34_239
| ~ spl34_249 ),
inference(avatar_contradiction_clause,[],[f4059]) ).
fof(f4059,plain,
( $false
| ~ spl34_44
| ~ spl34_239
| ~ spl34_249 ),
inference(subsumption_resolution,[],[f4058,f222]) ).
fof(f222,plain,
e1 != e2,
inference(cnf_transformation,[],[f5]) ).
fof(f4058,plain,
( e1 = e2
| ~ spl34_44
| ~ spl34_239
| ~ spl34_249 ),
inference(forward_demodulation,[],[f4057,f1585]) ).
fof(f4057,plain,
( e2 = op(e0,e1)
| ~ spl34_44
| ~ spl34_239 ),
inference(forward_demodulation,[],[f631,f1538]) ).
fof(f1538,plain,
( e0 = op(e2,e1)
| ~ spl34_239 ),
inference(avatar_component_clause,[],[f1536]) ).
fof(f1536,plain,
( spl34_239
<=> e0 = op(e2,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_239])]) ).
fof(f631,plain,
( e2 = op(op(e2,e1),e1)
| ~ spl34_44 ),
inference(avatar_component_clause,[],[f629]) ).
fof(f629,plain,
( spl34_44
<=> e2 = op(op(e2,e1),e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_44])]) ).
fof(f4053,plain,
( ~ spl34_52
| ~ spl34_154
| spl34_164 ),
inference(avatar_contradiction_clause,[],[f4052]) ).
fof(f4052,plain,
( $false
| ~ spl34_52
| ~ spl34_154
| spl34_164 ),
inference(subsumption_resolution,[],[f4051,f1214]) ).
fof(f1214,plain,
( e1 != op(e2,e4)
| spl34_164 ),
inference(avatar_component_clause,[],[f1213]) ).
fof(f1213,plain,
( spl34_164
<=> e1 = op(e2,e4) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_164])]) ).
fof(f4051,plain,
( e1 = op(e2,e4)
| ~ spl34_52
| ~ spl34_154 ),
inference(forward_demodulation,[],[f669,f1173]) ).
fof(f669,plain,
( e1 = op(op(e1,e4),e4)
| ~ spl34_52 ),
inference(avatar_component_clause,[],[f667]) ).
fof(f667,plain,
( spl34_52
<=> e1 = op(op(e1,e4),e4) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_52])]) ).
fof(f4046,plain,
( spl34_64
| ~ spl34_249
| ~ spl34_251 ),
inference(avatar_contradiction_clause,[],[f4045]) ).
fof(f4045,plain,
( $false
| spl34_64
| ~ spl34_249
| ~ spl34_251 ),
inference(subsumption_resolution,[],[f4044,f1585]) ).
fof(f4044,plain,
( e1 != op(e0,e1)
| spl34_64
| ~ spl34_251 ),
inference(forward_demodulation,[],[f730,f1594]) ).
fof(f730,plain,
( op(e0,e1) != op(e1,e0)
| spl34_64 ),
inference(avatar_component_clause,[],[f728]) ).
fof(f728,plain,
( spl34_64
<=> op(e0,e1) = op(e1,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_64])]) ).
fof(f4043,plain,
( spl34_49
| ~ spl34_225
| ~ spl34_228 ),
inference(avatar_contradiction_clause,[],[f4042]) ).
fof(f4042,plain,
( $false
| spl34_49
| ~ spl34_225
| ~ spl34_228 ),
inference(subsumption_resolution,[],[f4041,f1477]) ).
fof(f4041,plain,
( e2 != op(e0,e2)
| spl34_49
| ~ spl34_228 ),
inference(forward_demodulation,[],[f655,f1490]) ).
fof(f655,plain,
( op(e0,e2) != op(e2,e0)
| spl34_49 ),
inference(avatar_component_clause,[],[f653]) ).
fof(f653,plain,
( spl34_49
<=> op(e0,e2) = op(e2,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_49])]) ).
fof(f4036,plain,
( spl34_38
| ~ spl34_203
| ~ spl34_221 ),
inference(avatar_contradiction_clause,[],[f4035]) ).
fof(f4035,plain,
( $false
| spl34_38
| ~ spl34_203
| ~ spl34_221 ),
inference(subsumption_resolution,[],[f4034,f1459]) ).
fof(f4034,plain,
( e3 != op(e1,e2)
| spl34_38
| ~ spl34_203 ),
inference(forward_demodulation,[],[f600,f1381]) ).
fof(f1381,plain,
( e1 = op(e2,e3)
| ~ spl34_203 ),
inference(avatar_component_clause,[],[f1379]) ).
fof(f600,plain,
( e3 != op(op(e2,e3),e2)
| spl34_38 ),
inference(avatar_component_clause,[],[f598]) ).
fof(f598,plain,
( spl34_38
<=> e3 = op(op(e2,e3),e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_38])]) ).
fof(f4032,plain,
( spl34_33
| ~ spl34_187
| ~ spl34_191 ),
inference(avatar_contradiction_clause,[],[f4031]) ).
fof(f4031,plain,
( $false
| spl34_33
| ~ spl34_187
| ~ spl34_191 ),
inference(subsumption_resolution,[],[f4030,f1313]) ).
fof(f4030,plain,
( e3 != op(e0,e3)
| spl34_33
| ~ spl34_191 ),
inference(forward_demodulation,[],[f576,f1330]) ).
fof(f576,plain,
( op(e0,e3) != op(e3,e0)
| spl34_33 ),
inference(avatar_component_clause,[],[f574]) ).
fof(f574,plain,
( spl34_33
<=> op(e0,e3) = op(e3,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_33])]) ).
fof(f4010,plain,
( ~ spl34_58
| ~ spl34_214
| ~ spl34_221 ),
inference(avatar_contradiction_clause,[],[f4009]) ).
fof(f4009,plain,
( $false
| ~ spl34_58
| ~ spl34_214
| ~ spl34_221 ),
inference(subsumption_resolution,[],[f4008,f218]) ).
fof(f218,plain,
e0 != e1,
inference(cnf_transformation,[],[f5]) ).
fof(f4008,plain,
( e0 = e1
| ~ spl34_58
| ~ spl34_214
| ~ spl34_221 ),
inference(forward_demodulation,[],[f4007,f1428]) ).
fof(f1428,plain,
( e0 = op(e3,e2)
| ~ spl34_214 ),
inference(avatar_component_clause,[],[f1426]) ).
fof(f1426,plain,
( spl34_214
<=> e0 = op(e3,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_214])]) ).
fof(f4007,plain,
( e1 = op(e3,e2)
| ~ spl34_58
| ~ spl34_221 ),
inference(forward_demodulation,[],[f699,f1459]) ).
fof(f699,plain,
( e1 = op(op(e1,e2),e2)
| ~ spl34_58 ),
inference(avatar_component_clause,[],[f697]) ).
fof(f697,plain,
( spl34_58
<=> e1 = op(op(e1,e2),e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_58])]) ).
fof(f3993,plain,
( ~ spl34_55
| spl34_201
| ~ spl34_209 ),
inference(avatar_contradiction_clause,[],[f3992]) ).
fof(f3992,plain,
( $false
| ~ spl34_55
| spl34_201
| ~ spl34_209 ),
inference(subsumption_resolution,[],[f3991,f1372]) ).
fof(f1372,plain,
( e1 != op(e0,e3)
| spl34_201 ),
inference(avatar_component_clause,[],[f1371]) ).
fof(f1371,plain,
( spl34_201
<=> e1 = op(e0,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_201])]) ).
fof(f3991,plain,
( e1 = op(e0,e3)
| ~ spl34_55
| ~ spl34_209 ),
inference(forward_demodulation,[],[f684,f1407]) ).
fof(f1407,plain,
( e0 = op(e1,e3)
| ~ spl34_209 ),
inference(avatar_component_clause,[],[f1405]) ).
fof(f1405,plain,
( spl34_209
<=> e0 = op(e1,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_209])]) ).
fof(f684,plain,
( e1 = op(op(e1,e3),e3)
| ~ spl34_55 ),
inference(avatar_component_clause,[],[f682]) ).
fof(f3990,plain,
( spl34_16
| ~ spl34_135
| ~ spl34_140 ),
inference(avatar_contradiction_clause,[],[f3989]) ).
fof(f3989,plain,
( $false
| spl34_16
| ~ spl34_135
| ~ spl34_140 ),
inference(subsumption_resolution,[],[f3988,f1093]) ).
fof(f1093,plain,
( e4 = op(e0,e4)
| ~ spl34_135 ),
inference(avatar_component_clause,[],[f1091]) ).
fof(f1091,plain,
( spl34_135
<=> e4 = op(e0,e4) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_135])]) ).
fof(f3988,plain,
( e4 != op(e0,e4)
| spl34_16
| ~ spl34_140 ),
inference(forward_demodulation,[],[f493,f1114]) ).
fof(f493,plain,
( op(e0,e4) != op(e4,e0)
| spl34_16 ),
inference(avatar_component_clause,[],[f491]) ).
fof(f491,plain,
( spl34_16
<=> op(e0,e4) = op(e4,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_16])]) ).
fof(f3982,plain,
( spl34_14
| ~ spl34_140
| ~ spl34_175 ),
inference(avatar_contradiction_clause,[],[f3981]) ).
fof(f3981,plain,
( $false
| spl34_14
| ~ spl34_140
| ~ spl34_175 ),
inference(subsumption_resolution,[],[f3980,f1261]) ).
fof(f3980,plain,
( e0 != op(e4,e4)
| spl34_14
| ~ spl34_140 ),
inference(forward_demodulation,[],[f483,f1114]) ).
fof(f483,plain,
( e0 != op(op(e4,e0),e4)
| spl34_14 ),
inference(avatar_component_clause,[],[f481]) ).
fof(f481,plain,
( spl34_14
<=> e0 = op(op(e4,e0),e4) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_14])]) ).
fof(f3970,plain,
( spl34_10
| ~ spl34_150
| ~ spl34_165 ),
inference(avatar_contradiction_clause,[],[f3969]) ).
fof(f3969,plain,
( $false
| spl34_10
| ~ spl34_150
| ~ spl34_165 ),
inference(subsumption_resolution,[],[f3968,f1219]) ).
fof(f3968,plain,
( e1 != op(e3,e4)
| spl34_10
| ~ spl34_150 ),
inference(forward_demodulation,[],[f464,f1156]) ).
fof(f464,plain,
( e1 != op(op(e4,e1),e4)
| spl34_10 ),
inference(avatar_component_clause,[],[f462]) ).
fof(f462,plain,
( spl34_10
<=> e1 = op(op(e4,e1),e4) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_10])]) ).
fof(f3862,plain,
( ~ spl34_210
| spl34_25
| ~ spl34_214 ),
inference(avatar_split_clause,[],[f3861,f1426,f536,f1409]) ).
fof(f1409,plain,
( spl34_210
<=> e0 = op(e2,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_210])]) ).
fof(f536,plain,
( spl34_25
<=> op(e2,e3) = op(e3,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_25])]) ).
fof(f3861,plain,
( e0 != op(e2,e3)
| spl34_25
| ~ spl34_214 ),
inference(forward_demodulation,[],[f538,f1428]) ).
fof(f538,plain,
( op(e2,e3) != op(e3,e2)
| spl34_25 ),
inference(avatar_component_clause,[],[f536]) ).
fof(f3848,plain,
( ~ spl34_239
| ~ spl34_210 ),
inference(avatar_split_clause,[],[f3684,f1409,f1536]) ).
fof(f3684,plain,
( e0 != op(e2,e1)
| ~ spl34_210 ),
inference(forward_demodulation,[],[f303,f1411]) ).
fof(f1411,plain,
( e0 = op(e2,e3)
| ~ spl34_210 ),
inference(avatar_component_clause,[],[f1409]) ).
fof(f303,plain,
op(e2,e1) != op(e2,e3),
inference(cnf_transformation,[],[f4]) ).
fof(f3839,plain,
( ~ spl34_242
| ~ spl34_251 ),
inference(avatar_contradiction_clause,[],[f3838]) ).
fof(f3838,plain,
( $false
| ~ spl34_242
| ~ spl34_251 ),
inference(subsumption_resolution,[],[f3837,f224]) ).
fof(f224,plain,
e1 != e4,
inference(cnf_transformation,[],[f5]) ).
fof(f3837,plain,
( e1 = e4
| ~ spl34_242
| ~ spl34_251 ),
inference(backward_demodulation,[],[f1552,f1594]) ).
fof(f1552,plain,
( e4 = op(e1,e0)
| ~ spl34_242 ),
inference(avatar_component_clause,[],[f1550]) ).
fof(f1550,plain,
( spl34_242
<=> e4 = op(e1,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_242])]) ).
fof(f3831,plain,
( ~ spl34_243
| ~ spl34_249 ),
inference(avatar_contradiction_clause,[],[f3830]) ).
fof(f3830,plain,
( $false
| ~ spl34_243
| ~ spl34_249 ),
inference(subsumption_resolution,[],[f3829,f223]) ).
fof(f223,plain,
e1 != e3,
inference(cnf_transformation,[],[f5]) ).
fof(f3829,plain,
( e1 = e3
| ~ spl34_243
| ~ spl34_249 ),
inference(backward_demodulation,[],[f1557,f1585]) ).
fof(f1557,plain,
( e3 = op(e0,e1)
| ~ spl34_243 ),
inference(avatar_component_clause,[],[f1555]) ).
fof(f1555,plain,
( spl34_243
<=> e3 = op(e0,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_243])]) ).
fof(f3773,plain,
( spl34_140
| ~ spl34_260 ),
inference(avatar_split_clause,[],[f3772,f1641,f1112]) ).
fof(f1641,plain,
( spl34_260
<=> e0 = unit ),
introduced(avatar_definition,[new_symbols(naming,[spl34_260])]) ).
fof(f3772,plain,
( e4 = op(e4,e0)
| ~ spl34_260 ),
inference(forward_demodulation,[],[f387,f1643]) ).
fof(f1643,plain,
( e0 = unit
| ~ spl34_260 ),
inference(avatar_component_clause,[],[f1641]) ).
fof(f387,plain,
e4 = op(e4,unit),
inference(cnf_transformation,[],[f2]) ).
fof(f2,axiom,
( ( e4 = unit
| e3 = unit
| e2 = unit
| e1 = unit
| e0 = unit )
& e4 = op(e4,unit)
& e4 = op(unit,e4)
& e3 = op(e3,unit)
& e3 = op(unit,e3)
& e2 = op(e2,unit)
& e2 = op(unit,e2)
& e1 = op(e1,unit)
& e1 = op(unit,e1)
& e0 = op(e0,unit)
& e0 = op(unit,e0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax2) ).
fof(f3771,plain,
( spl34_135
| ~ spl34_260 ),
inference(avatar_split_clause,[],[f3770,f1641,f1091]) ).
fof(f3770,plain,
( e4 = op(e0,e4)
| ~ spl34_260 ),
inference(forward_demodulation,[],[f386,f1643]) ).
fof(f386,plain,
e4 = op(unit,e4),
inference(cnf_transformation,[],[f2]) ).
fof(f3769,plain,
( spl34_191
| ~ spl34_260 ),
inference(avatar_split_clause,[],[f3768,f1641,f1328]) ).
fof(f3768,plain,
( e3 = op(e3,e0)
| ~ spl34_260 ),
inference(forward_demodulation,[],[f385,f1643]) ).
fof(f385,plain,
e3 = op(e3,unit),
inference(cnf_transformation,[],[f2]) ).
fof(f3767,plain,
( spl34_187
| ~ spl34_260 ),
inference(avatar_split_clause,[],[f3766,f1641,f1311]) ).
fof(f3766,plain,
( e3 = op(e0,e3)
| ~ spl34_260 ),
inference(forward_demodulation,[],[f384,f1643]) ).
fof(f384,plain,
e3 = op(unit,e3),
inference(cnf_transformation,[],[f2]) ).
fof(f3765,plain,
( spl34_228
| ~ spl34_260 ),
inference(avatar_split_clause,[],[f3764,f1641,f1488]) ).
fof(f3764,plain,
( e2 = op(e2,e0)
| ~ spl34_260 ),
inference(forward_demodulation,[],[f383,f1643]) ).
fof(f383,plain,
e2 = op(e2,unit),
inference(cnf_transformation,[],[f2]) ).
fof(f3763,plain,
( spl34_225
| ~ spl34_260 ),
inference(avatar_split_clause,[],[f3762,f1641,f1475]) ).
fof(f3762,plain,
( e2 = op(e0,e2)
| ~ spl34_260 ),
inference(forward_demodulation,[],[f382,f1643]) ).
fof(f382,plain,
e2 = op(unit,e2),
inference(cnf_transformation,[],[f2]) ).
fof(f3761,plain,
( spl34_251
| ~ spl34_260 ),
inference(avatar_split_clause,[],[f3760,f1641,f1592]) ).
fof(f3760,plain,
( e1 = op(e1,e0)
| ~ spl34_260 ),
inference(forward_demodulation,[],[f381,f1643]) ).
fof(f381,plain,
e1 = op(e1,unit),
inference(cnf_transformation,[],[f2]) ).
fof(f3759,plain,
( spl34_249
| ~ spl34_260 ),
inference(avatar_split_clause,[],[f3758,f1641,f1583]) ).
fof(f3758,plain,
( e1 = op(e0,e1)
| ~ spl34_260 ),
inference(forward_demodulation,[],[f380,f1643]) ).
fof(f380,plain,
e1 = op(unit,e1),
inference(cnf_transformation,[],[f2]) ).
fof(f3743,plain,
( ~ spl34_136
| spl34_12
| ~ spl34_141 ),
inference(avatar_split_clause,[],[f3742,f1116,f472,f1095]) ).
fof(f1095,plain,
( spl34_136
<=> e4 = op(e1,e4) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_136])]) ).
fof(f472,plain,
( spl34_12
<=> op(e1,e4) = op(e4,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_12])]) ).
fof(f3742,plain,
( e4 != op(e1,e4)
| spl34_12
| ~ spl34_141 ),
inference(forward_demodulation,[],[f474,f1118]) ).
fof(f1118,plain,
( e4 = op(e4,e1)
| ~ spl34_141 ),
inference(avatar_component_clause,[],[f1116]) ).
fof(f474,plain,
( op(e1,e4) != op(e4,e1)
| spl34_12 ),
inference(avatar_component_clause,[],[f472]) ).
fof(f3721,plain,
( ~ spl34_156
| ~ spl34_165 ),
inference(avatar_contradiction_clause,[],[f3720]) ).
fof(f3720,plain,
( $false
| ~ spl34_156
| ~ spl34_165 ),
inference(subsumption_resolution,[],[f3719,f222]) ).
fof(f3719,plain,
( e1 = e2
| ~ spl34_156
| ~ spl34_165 ),
inference(forward_demodulation,[],[f1181,f1219]) ).
fof(f1181,plain,
( e2 = op(e3,e4)
| ~ spl34_156 ),
inference(avatar_component_clause,[],[f1179]) ).
fof(f1179,plain,
( spl34_156
<=> e2 = op(e3,e4) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_156])]) ).
fof(f3712,plain,
( ~ spl34_171
| ~ spl34_175 ),
inference(avatar_split_clause,[],[f3194,f1259,f1243]) ).
fof(f1243,plain,
( spl34_171
<=> e0 = op(e0,e4) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_171])]) ).
fof(f3194,plain,
( e0 != op(e0,e4)
| ~ spl34_175 ),
inference(forward_demodulation,[],[f271,f1261]) ).
fof(f271,plain,
op(e0,e4) != op(e4,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f3711,plain,
( spl34_209
| ~ spl34_70
| ~ spl34_201 ),
inference(avatar_split_clause,[],[f3710,f1371,f757,f1405]) ).
fof(f757,plain,
( spl34_70
<=> e0 = op(op(e0,e3),e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_70])]) ).
fof(f3710,plain,
( e0 = op(e1,e3)
| ~ spl34_70
| ~ spl34_201 ),
inference(forward_demodulation,[],[f759,f1373]) ).
fof(f1373,plain,
( e1 = op(e0,e3)
| ~ spl34_201 ),
inference(avatar_component_clause,[],[f1371]) ).
fof(f759,plain,
( e0 = op(op(e0,e3),e3)
| ~ spl34_70 ),
inference(avatar_component_clause,[],[f757]) ).
fof(f3709,plain,
( ~ spl34_187
| ~ spl34_201 ),
inference(avatar_contradiction_clause,[],[f3708]) ).
fof(f3708,plain,
( $false
| ~ spl34_187
| ~ spl34_201 ),
inference(subsumption_resolution,[],[f3707,f223]) ).
fof(f3707,plain,
( e1 = e3
| ~ spl34_187
| ~ spl34_201 ),
inference(forward_demodulation,[],[f1313,f1373]) ).
fof(f3706,plain,
( ~ spl34_191
| ~ spl34_198 ),
inference(avatar_contradiction_clause,[],[f3705]) ).
fof(f3705,plain,
( $false
| ~ spl34_191
| ~ spl34_198 ),
inference(subsumption_resolution,[],[f3704,f225]) ).
fof(f225,plain,
e2 != e3,
inference(cnf_transformation,[],[f5]) ).
fof(f3704,plain,
( e2 = e3
| ~ spl34_191
| ~ spl34_198 ),
inference(forward_demodulation,[],[f1330,f1360]) ).
fof(f1360,plain,
( e2 = op(e3,e0)
| ~ spl34_198 ),
inference(avatar_component_clause,[],[f1358]) ).
fof(f1358,plain,
( spl34_198
<=> e2 = op(e3,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_198])]) ).
fof(f3703,plain,
( ~ spl34_228
| ~ spl34_233 ),
inference(avatar_contradiction_clause,[],[f3702]) ).
fof(f3702,plain,
( $false
| ~ spl34_228
| ~ spl34_233 ),
inference(subsumption_resolution,[],[f3701,f222]) ).
fof(f3701,plain,
( e1 = e2
| ~ spl34_228
| ~ spl34_233 ),
inference(forward_demodulation,[],[f1490,f1512]) ).
fof(f1512,plain,
( e1 = op(e2,e0)
| ~ spl34_233 ),
inference(avatar_component_clause,[],[f1510]) ).
fof(f1510,plain,
( spl34_233
<=> e1 = op(e2,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_233])]) ).
fof(f3700,plain,
( ~ spl34_251
| ~ spl34_250 ),
inference(avatar_split_clause,[],[f3215,f1587,f1592]) ).
fof(f1587,plain,
( spl34_250
<=> e1 = op(e1,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_250])]) ).
fof(f3215,plain,
( e1 != op(e1,e0)
| ~ spl34_250 ),
inference(forward_demodulation,[],[f288,f1589]) ).
fof(f1589,plain,
( e1 = op(e1,e1)
| ~ spl34_250 ),
inference(avatar_component_clause,[],[f1587]) ).
fof(f288,plain,
op(e1,e0) != op(e1,e1),
inference(cnf_transformation,[],[f4]) ).
fof(f3691,plain,
( ~ spl34_249
| ~ spl34_250 ),
inference(avatar_split_clause,[],[f3149,f1587,f1583]) ).
fof(f3149,plain,
( e1 != op(e0,e1)
| ~ spl34_250 ),
inference(forward_demodulation,[],[f238,f1589]) ).
fof(f238,plain,
op(e0,e1) != op(e1,e1),
inference(cnf_transformation,[],[f4]) ).
fof(f3690,plain,
( ~ spl34_240
| ~ spl34_141 ),
inference(avatar_split_clause,[],[f3155,f1116,f1541]) ).
fof(f1541,plain,
( spl34_240
<=> e4 = op(e0,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_240])]) ).
fof(f3155,plain,
( e4 != op(e0,e1)
| ~ spl34_141 ),
inference(forward_demodulation,[],[f241,f1118]) ).
fof(f241,plain,
op(e0,e1) != op(e4,e1),
inference(cnf_transformation,[],[f4]) ).
fof(f3685,plain,
( ~ spl34_224
| ~ spl34_146 ),
inference(avatar_split_clause,[],[f3236,f1137,f1470]) ).
fof(f1470,plain,
( spl34_224
<=> e3 = op(e2,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_224])]) ).
fof(f1137,plain,
( spl34_146
<=> e3 = op(e2,e4) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_146])]) ).
fof(f3236,plain,
( e3 != op(e2,e1)
| ~ spl34_146 ),
inference(forward_demodulation,[],[f304,f1139]) ).
fof(f1139,plain,
( e3 = op(e2,e4)
| ~ spl34_146 ),
inference(avatar_component_clause,[],[f1137]) ).
fof(f304,plain,
op(e2,e1) != op(e2,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f3678,plain,
( spl34_220
| ~ spl34_24
| ~ spl34_214 ),
inference(avatar_split_clause,[],[f3631,f1426,f531,f1453]) ).
fof(f1453,plain,
( spl34_220
<=> e3 = op(e0,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_220])]) ).
fof(f531,plain,
( spl34_24
<=> e3 = op(op(e3,e2),e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_24])]) ).
fof(f3631,plain,
( e3 = op(e0,e2)
| ~ spl34_24
| ~ spl34_214 ),
inference(forward_demodulation,[],[f533,f1428]) ).
fof(f533,plain,
( e3 = op(op(e3,e2),e2)
| ~ spl34_24 ),
inference(avatar_component_clause,[],[f531]) ).
fof(f3675,plain,
( ~ spl34_185
| ~ spl34_141 ),
inference(avatar_split_clause,[],[f3167,f1116,f1302]) ).
fof(f3167,plain,
( e4 != op(e3,e1)
| ~ spl34_141 ),
inference(forward_demodulation,[],[f247,f1118]) ).
fof(f247,plain,
op(e3,e1) != op(e4,e1),
inference(cnf_transformation,[],[f4]) ).
fof(f3660,plain,
( ~ spl34_154
| spl34_6
| ~ spl34_169 ),
inference(avatar_split_clause,[],[f3582,f1234,f443,f1171]) ).
fof(f443,plain,
( spl34_6
<=> e2 = op(op(e4,e2),e4) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_6])]) ).
fof(f1234,plain,
( spl34_169
<=> e1 = op(e4,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_169])]) ).
fof(f3582,plain,
( e2 != op(e1,e4)
| spl34_6
| ~ spl34_169 ),
inference(forward_demodulation,[],[f445,f1236]) ).
fof(f1236,plain,
( e1 = op(e4,e2)
| ~ spl34_169 ),
inference(avatar_component_clause,[],[f1234]) ).
fof(f445,plain,
( e2 != op(op(e4,e2),e4)
| spl34_6 ),
inference(avatar_component_clause,[],[f443]) ).
fof(f3653,plain,
( spl34_72
| ~ spl34_198
| ~ spl34_220 ),
inference(avatar_contradiction_clause,[],[f3652]) ).
fof(f3652,plain,
( $false
| spl34_72
| ~ spl34_198
| ~ spl34_220 ),
inference(subsumption_resolution,[],[f3651,f1360]) ).
fof(f3651,plain,
( e2 != op(e3,e0)
| spl34_72
| ~ spl34_220 ),
inference(forward_demodulation,[],[f769,f1455]) ).
fof(f1455,plain,
( e3 = op(e0,e2)
| ~ spl34_220 ),
inference(avatar_component_clause,[],[f1453]) ).
fof(f769,plain,
( e2 != op(op(e0,e2),e0)
| spl34_72 ),
inference(avatar_component_clause,[],[f767]) ).
fof(f767,plain,
( spl34_72
<=> e2 = op(op(e0,e2),e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_72])]) ).
fof(f3635,plain,
( spl34_31
| ~ spl34_198
| ~ spl34_210 ),
inference(avatar_contradiction_clause,[],[f3634]) ).
fof(f3634,plain,
( $false
| spl34_31
| ~ spl34_198
| ~ spl34_210 ),
inference(subsumption_resolution,[],[f3633,f1411]) ).
fof(f3633,plain,
( e0 != op(e2,e3)
| spl34_31
| ~ spl34_198 ),
inference(forward_demodulation,[],[f566,f1360]) ).
fof(f566,plain,
( e0 != op(op(e3,e0),e3)
| spl34_31 ),
inference(avatar_component_clause,[],[f564]) ).
fof(f564,plain,
( spl34_31
<=> e0 = op(op(e3,e0),e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_31])]) ).
fof(f3619,plain,
( ~ spl34_36
| ~ spl34_146
| ~ spl34_165 ),
inference(avatar_contradiction_clause,[],[f3618]) ).
fof(f3618,plain,
( $false
| ~ spl34_36
| ~ spl34_146
| ~ spl34_165 ),
inference(subsumption_resolution,[],[f3617,f222]) ).
fof(f3617,plain,
( e1 = e2
| ~ spl34_36
| ~ spl34_146
| ~ spl34_165 ),
inference(forward_demodulation,[],[f3616,f1219]) ).
fof(f3616,plain,
( e2 = op(e3,e4)
| ~ spl34_36
| ~ spl34_146 ),
inference(forward_demodulation,[],[f590,f1139]) ).
fof(f590,plain,
( e2 = op(op(e2,e4),e4)
| ~ spl34_36 ),
inference(avatar_component_clause,[],[f588]) ).
fof(f588,plain,
( spl34_36
<=> e2 = op(op(e2,e4),e4) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_36])]) ).
fof(f3615,plain,
( ~ spl34_7
| ~ spl34_169
| ~ spl34_226 ),
inference(avatar_contradiction_clause,[],[f3614]) ).
fof(f3614,plain,
( $false
| ~ spl34_7
| ~ spl34_169
| ~ spl34_226 ),
inference(subsumption_resolution,[],[f3613,f226]) ).
fof(f3613,plain,
( e2 = e4
| ~ spl34_7
| ~ spl34_169
| ~ spl34_226 ),
inference(forward_demodulation,[],[f3612,f1481]) ).
fof(f1481,plain,
( e2 = op(e1,e2)
| ~ spl34_226 ),
inference(avatar_component_clause,[],[f1479]) ).
fof(f1479,plain,
( spl34_226
<=> e2 = op(e1,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_226])]) ).
fof(f3612,plain,
( e4 = op(e1,e2)
| ~ spl34_7
| ~ spl34_169 ),
inference(forward_demodulation,[],[f450,f1236]) ).
fof(f450,plain,
( e4 = op(op(e4,e2),e2)
| ~ spl34_7 ),
inference(avatar_component_clause,[],[f448]) ).
fof(f448,plain,
( spl34_7
<=> e4 = op(op(e4,e2),e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_7])]) ).
fof(f3592,plain,
( ~ spl34_67
| ~ spl34_153
| spl34_173 ),
inference(avatar_contradiction_clause,[],[f3591]) ).
fof(f3591,plain,
( $false
| ~ spl34_67
| ~ spl34_153
| spl34_173 ),
inference(subsumption_resolution,[],[f3590,f1252]) ).
fof(f1252,plain,
( e0 != op(e2,e4)
| spl34_173 ),
inference(avatar_component_clause,[],[f1251]) ).
fof(f1251,plain,
( spl34_173
<=> e0 = op(e2,e4) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_173])]) ).
fof(f3590,plain,
( e0 = op(e2,e4)
| ~ spl34_67
| ~ spl34_153 ),
inference(forward_demodulation,[],[f744,f1169]) ).
fof(f1169,plain,
( e2 = op(e0,e4)
| ~ spl34_153 ),
inference(avatar_component_clause,[],[f1167]) ).
fof(f1167,plain,
( spl34_153
<=> e2 = op(e0,e4) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_153])]) ).
fof(f744,plain,
( e0 = op(op(e0,e4),e4)
| ~ spl34_67 ),
inference(avatar_component_clause,[],[f742]) ).
fof(f742,plain,
( spl34_67
<=> e0 = op(op(e0,e4),e4) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_67])]) ).
fof(f3589,plain,
( ~ spl34_15
| ~ spl34_149
| ~ spl34_198 ),
inference(avatar_contradiction_clause,[],[f3588]) ).
fof(f3588,plain,
( $false
| ~ spl34_15
| ~ spl34_149
| ~ spl34_198 ),
inference(subsumption_resolution,[],[f3587,f226]) ).
fof(f3587,plain,
( e2 = e4
| ~ spl34_15
| ~ spl34_149
| ~ spl34_198 ),
inference(forward_demodulation,[],[f3586,f1360]) ).
fof(f3586,plain,
( e4 = op(e3,e0)
| ~ spl34_15
| ~ spl34_149 ),
inference(forward_demodulation,[],[f488,f1152]) ).
fof(f1152,plain,
( e3 = op(e4,e0)
| ~ spl34_149 ),
inference(avatar_component_clause,[],[f1150]) ).
fof(f1150,plain,
( spl34_149
<=> e3 = op(e4,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_149])]) ).
fof(f488,plain,
( e4 = op(op(e4,e0),e0)
| ~ spl34_15 ),
inference(avatar_component_clause,[],[f486]) ).
fof(f486,plain,
( spl34_15
<=> e4 = op(op(e4,e0),e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_15])]) ).
fof(f3576,plain,
( spl34_2
| ~ spl34_146
| ~ spl34_161 ),
inference(avatar_contradiction_clause,[],[f3575]) ).
fof(f3575,plain,
( $false
| spl34_2
| ~ spl34_146
| ~ spl34_161 ),
inference(subsumption_resolution,[],[f3574,f1139]) ).
fof(f3574,plain,
( e3 != op(e2,e4)
| spl34_2
| ~ spl34_161 ),
inference(forward_demodulation,[],[f426,f1202]) ).
fof(f426,plain,
( e3 != op(op(e4,e3),e4)
| spl34_2 ),
inference(avatar_component_clause,[],[f424]) ).
fof(f424,plain,
( spl34_2
<=> e3 = op(op(e4,e3),e4) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_2])]) ).
fof(f3528,plain,
( ~ spl34_217
| ~ spl34_237 ),
inference(avatar_contradiction_clause,[],[f3527]) ).
fof(f3527,plain,
( $false
| ~ spl34_217
| ~ spl34_237 ),
inference(subsumption_resolution,[],[f3526,f221]) ).
fof(f221,plain,
e0 != e4,
inference(cnf_transformation,[],[f5]) ).
fof(f3526,plain,
( e0 = e4
| ~ spl34_217
| ~ spl34_237 ),
inference(backward_demodulation,[],[f1441,f1529]) ).
fof(f1529,plain,
( e0 = op(e2,e2)
| ~ spl34_237 ),
inference(avatar_component_clause,[],[f1527]) ).
fof(f1527,plain,
( spl34_237
<=> e0 = op(e2,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_237])]) ).
fof(f1441,plain,
( e4 = op(e2,e2)
| ~ spl34_217 ),
inference(avatar_component_clause,[],[f1439]) ).
fof(f1439,plain,
( spl34_217
<=> e4 = op(e2,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_217])]) ).
fof(f3489,plain,
( ~ spl34_192
| ~ spl34_199 ),
inference(avatar_contradiction_clause,[],[f3488]) ).
fof(f3488,plain,
( $false
| ~ spl34_192
| ~ spl34_199 ),
inference(subsumption_resolution,[],[f3485,f225]) ).
fof(f3485,plain,
( e2 = e3
| ~ spl34_192
| ~ spl34_199 ),
inference(backward_demodulation,[],[f1334,f1364]) ).
fof(f1334,plain,
( e3 = op(e3,e1)
| ~ spl34_192 ),
inference(avatar_component_clause,[],[f1332]) ).
fof(f3458,plain,
( ~ spl34_238
| ~ spl34_254 ),
inference(avatar_split_clause,[],[f3452,f1606,f1532]) ).
fof(f1532,plain,
( spl34_238
<=> e0 = op(e2,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_238])]) ).
fof(f1606,plain,
( spl34_254
<=> e0 = op(e1,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_254])]) ).
fof(f3452,plain,
( e0 != op(e2,e0)
| ~ spl34_254 ),
inference(forward_demodulation,[],[f232,f1608]) ).
fof(f1608,plain,
( e0 = op(e1,e0)
| ~ spl34_254 ),
inference(avatar_component_clause,[],[f1606]) ).
fof(f232,plain,
op(e1,e0) != op(e2,e0),
inference(cnf_transformation,[],[f4]) ).
fof(f3451,plain,
( ~ spl34_218
| ~ spl34_217 ),
inference(avatar_split_clause,[],[f2697,f1439,f1444]) ).
fof(f1444,plain,
( spl34_218
<=> e4 = op(e2,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_218])]) ).
fof(f2697,plain,
( e4 != op(e2,e0)
| ~ spl34_217 ),
inference(forward_demodulation,[],[f299,f1441]) ).
fof(f299,plain,
op(e2,e0) != op(e2,e2),
inference(cnf_transformation,[],[f4]) ).
fof(f3450,plain,
( ~ spl34_223
| ~ spl34_146 ),
inference(avatar_split_clause,[],[f3449,f1137,f1466]) ).
fof(f1466,plain,
( spl34_223
<=> e3 = op(e2,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_223])]) ).
fof(f3449,plain,
( e3 != op(e2,e0)
| ~ spl34_146 ),
inference(forward_demodulation,[],[f301,f1139]) ).
fof(f301,plain,
op(e2,e0) != op(e2,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f3434,plain,
( ~ spl34_196
| ~ spl34_229 ),
inference(avatar_split_clause,[],[f3433,f1492,f1349]) ).
fof(f1349,plain,
( spl34_196
<=> e2 = op(e2,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_196])]) ).
fof(f3433,plain,
( e2 != op(e2,e3)
| ~ spl34_229 ),
inference(forward_demodulation,[],[f303,f1494]) ).
fof(f1494,plain,
( e2 = op(e2,e1)
| ~ spl34_229 ),
inference(avatar_component_clause,[],[f1492]) ).
fof(f3431,plain,
( ~ spl34_203
| ~ spl34_233 ),
inference(avatar_split_clause,[],[f2806,f1510,f1379]) ).
fof(f2806,plain,
( e1 != op(e2,e3)
| ~ spl34_233 ),
inference(forward_demodulation,[],[f300,f1512]) ).
fof(f300,plain,
op(e2,e0) != op(e2,e3),
inference(cnf_transformation,[],[f4]) ).
fof(f3424,plain,
( ~ spl34_149
| ~ spl34_151 ),
inference(avatar_split_clause,[],[f3252,f1158,f1150]) ).
fof(f3252,plain,
( e3 != op(e4,e0)
| ~ spl34_151 ),
inference(forward_demodulation,[],[f319,f1160]) ).
fof(f1160,plain,
( e3 = op(e4,e2)
| ~ spl34_151 ),
inference(avatar_component_clause,[],[f1158]) ).
fof(f319,plain,
op(e4,e0) != op(e4,e2),
inference(cnf_transformation,[],[f4]) ).
fof(f3420,plain,
( ~ spl34_230
| spl34_49
| ~ spl34_233 ),
inference(avatar_split_clause,[],[f3419,f1510,f653,f1497]) ).
fof(f1497,plain,
( spl34_230
<=> e1 = op(e0,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_230])]) ).
fof(f3419,plain,
( e1 != op(e0,e2)
| spl34_49
| ~ spl34_233 ),
inference(forward_demodulation,[],[f655,f1512]) ).
fof(f3411,plain,
( ~ spl34_235
| ~ spl34_252 ),
inference(avatar_split_clause,[],[f3410,f1597,f1519]) ).
fof(f1519,plain,
( spl34_235
<=> e0 = op(e0,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_235])]) ).
fof(f1597,plain,
( spl34_252
<=> e0 = op(e0,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_252])]) ).
fof(f3410,plain,
( e0 != op(e0,e2)
| ~ spl34_252 ),
inference(forward_demodulation,[],[f282,f1599]) ).
fof(f1599,plain,
( e0 = op(e0,e1)
| ~ spl34_252 ),
inference(avatar_component_clause,[],[f1597]) ).
fof(f282,plain,
op(e0,e1) != op(e0,e2),
inference(cnf_transformation,[],[f4]) ).
fof(f3408,plain,
( ~ spl34_200
| ~ spl34_226 ),
inference(avatar_split_clause,[],[f3407,f1479,f1366]) ).
fof(f3407,plain,
( e2 != op(e3,e2)
| ~ spl34_226 ),
inference(forward_demodulation,[],[f253,f1481]) ).
fof(f253,plain,
op(e1,e2) != op(e3,e2),
inference(cnf_transformation,[],[f4]) ).
fof(f3403,plain,
( ~ spl34_193
| ~ spl34_192 ),
inference(avatar_split_clause,[],[f3402,f1332,f1336]) ).
fof(f3402,plain,
( e3 != op(e3,e2)
| ~ spl34_192 ),
inference(forward_demodulation,[],[f312,f1334]) ).
fof(f312,plain,
op(e3,e1) != op(e3,e2),
inference(cnf_transformation,[],[f4]) ).
fof(f3401,plain,
( ~ spl34_207
| ~ spl34_165 ),
inference(avatar_split_clause,[],[f3249,f1217,f1396]) ).
fof(f1396,plain,
( spl34_207
<=> e1 = op(e3,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_207])]) ).
fof(f3249,plain,
( e1 != op(e3,e2)
| ~ spl34_165 ),
inference(forward_demodulation,[],[f316,f1219]) ).
fof(f316,plain,
op(e3,e2) != op(e3,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f3392,plain,
( ~ spl34_204
| ~ spl34_165 ),
inference(avatar_split_clause,[],[f3251,f1217,f1383]) ).
fof(f1383,plain,
( spl34_204
<=> e1 = op(e3,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_204])]) ).
fof(f3251,plain,
( e1 != op(e3,e3)
| ~ spl34_165 ),
inference(forward_demodulation,[],[f317,f1219]) ).
fof(f317,plain,
op(e3,e3) != op(e3,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f3380,plain,
( ~ spl34_194
| ~ spl34_153 ),
inference(avatar_split_clause,[],[f3214,f1167,f1341]) ).
fof(f1341,plain,
( spl34_194
<=> e2 = op(e0,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_194])]) ).
fof(f3214,plain,
( e2 != op(e0,e3)
| ~ spl34_153 ),
inference(forward_demodulation,[],[f287,f1169]) ).
fof(f287,plain,
op(e0,e3) != op(e0,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f3378,plain,
( ~ spl34_179
| ~ spl34_175 ),
inference(avatar_split_clause,[],[f3258,f1259,f1276]) ).
fof(f1276,plain,
( spl34_179
<=> e0 = op(e4,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_179])]) ).
fof(f3258,plain,
( e0 != op(e4,e3)
| ~ spl34_175 ),
inference(forward_demodulation,[],[f327,f1261]) ).
fof(f327,plain,
op(e4,e3) != op(e4,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f3368,plain,
( ~ spl34_143
| ~ spl34_141 ),
inference(avatar_split_clause,[],[f3367,f1116,f1124]) ).
fof(f3367,plain,
( e4 != op(e4,e3)
| ~ spl34_141 ),
inference(forward_demodulation,[],[f323,f1118]) ).
fof(f3362,plain,
( ~ spl34_19
| spl34_145
| ~ spl34_165 ),
inference(avatar_contradiction_clause,[],[f3361]) ).
fof(f3361,plain,
( $false
| ~ spl34_19
| spl34_145
| ~ spl34_165 ),
inference(subsumption_resolution,[],[f3360,f1134]) ).
fof(f1134,plain,
( e3 != op(e1,e4)
| spl34_145 ),
inference(avatar_component_clause,[],[f1133]) ).
fof(f1133,plain,
( spl34_145
<=> e3 = op(e1,e4) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_145])]) ).
fof(f3360,plain,
( e3 = op(e1,e4)
| ~ spl34_19
| ~ spl34_165 ),
inference(forward_demodulation,[],[f507,f1219]) ).
fof(f507,plain,
( e3 = op(op(e3,e4),e4)
| ~ spl34_19 ),
inference(avatar_component_clause,[],[f505]) ).
fof(f505,plain,
( spl34_19
<=> e3 = op(op(e3,e4),e4) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_19])]) ).
fof(f3355,plain,
( spl34_64
| ~ spl34_252
| ~ spl34_254 ),
inference(avatar_contradiction_clause,[],[f3354]) ).
fof(f3354,plain,
( $false
| spl34_64
| ~ spl34_252
| ~ spl34_254 ),
inference(subsumption_resolution,[],[f3353,f1599]) ).
fof(f3353,plain,
( e0 != op(e0,e1)
| spl34_64
| ~ spl34_254 ),
inference(forward_demodulation,[],[f730,f1608]) ).
fof(f3338,plain,
( spl34_45
| ~ spl34_226
| ~ spl34_229 ),
inference(avatar_contradiction_clause,[],[f3337]) ).
fof(f3337,plain,
( $false
| spl34_45
| ~ spl34_226
| ~ spl34_229 ),
inference(subsumption_resolution,[],[f3336,f1481]) ).
fof(f3336,plain,
( e2 != op(e1,e2)
| spl34_45
| ~ spl34_229 ),
inference(forward_demodulation,[],[f636,f1494]) ).
fof(f636,plain,
( op(e1,e2) != op(e2,e1)
| spl34_45 ),
inference(avatar_component_clause,[],[f634]) ).
fof(f634,plain,
( spl34_45
<=> op(e1,e2) = op(e2,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_45])]) ).
fof(f3319,plain,
( ~ spl34_32
| ~ spl34_158
| ~ spl34_184 ),
inference(avatar_contradiction_clause,[],[f3318]) ).
fof(f3318,plain,
( $false
| ~ spl34_32
| ~ spl34_158
| ~ spl34_184 ),
inference(subsumption_resolution,[],[f3317,f225]) ).
fof(f3317,plain,
( e2 = e3
| ~ spl34_32
| ~ spl34_158
| ~ spl34_184 ),
inference(forward_demodulation,[],[f3316,f1190]) ).
fof(f1190,plain,
( e2 = op(e4,e0)
| ~ spl34_158 ),
inference(avatar_component_clause,[],[f1188]) ).
fof(f1188,plain,
( spl34_158
<=> e2 = op(e4,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_158])]) ).
fof(f3316,plain,
( e3 = op(e4,e0)
| ~ spl34_32
| ~ spl34_184 ),
inference(forward_demodulation,[],[f571,f1300]) ).
fof(f1300,plain,
( e4 = op(e3,e0)
| ~ spl34_184 ),
inference(avatar_component_clause,[],[f1298]) ).
fof(f1298,plain,
( spl34_184
<=> e4 = op(e3,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_184])]) ).
fof(f571,plain,
( e3 = op(op(e3,e0),e0)
| ~ spl34_32 ),
inference(avatar_component_clause,[],[f569]) ).
fof(f569,plain,
( spl34_32
<=> e3 = op(op(e3,e0),e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_32])]) ).
fof(f3315,plain,
( spl34_33
| ~ spl34_180
| ~ spl34_184 ),
inference(avatar_contradiction_clause,[],[f3314]) ).
fof(f3314,plain,
( $false
| spl34_33
| ~ spl34_180
| ~ spl34_184 ),
inference(subsumption_resolution,[],[f3313,f1283]) ).
fof(f1283,plain,
( e4 = op(e0,e3)
| ~ spl34_180 ),
inference(avatar_component_clause,[],[f1281]) ).
fof(f1281,plain,
( spl34_180
<=> e4 = op(e0,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_180])]) ).
fof(f3313,plain,
( e4 != op(e0,e3)
| spl34_33
| ~ spl34_184 ),
inference(forward_demodulation,[],[f576,f1300]) ).
fof(f3305,plain,
( ~ spl34_48
| ~ spl34_233
| ~ spl34_254 ),
inference(avatar_contradiction_clause,[],[f3304]) ).
fof(f3304,plain,
( $false
| ~ spl34_48
| ~ spl34_233
| ~ spl34_254 ),
inference(subsumption_resolution,[],[f3303,f219]) ).
fof(f3303,plain,
( e0 = e2
| ~ spl34_48
| ~ spl34_233
| ~ spl34_254 ),
inference(forward_demodulation,[],[f3302,f1608]) ).
fof(f3302,plain,
( e2 = op(e1,e0)
| ~ spl34_48
| ~ spl34_233 ),
inference(forward_demodulation,[],[f650,f1512]) ).
fof(f650,plain,
( e2 = op(op(e2,e0),e0)
| ~ spl34_48 ),
inference(avatar_component_clause,[],[f648]) ).
fof(f648,plain,
( spl34_48
<=> e2 = op(op(e2,e0),e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_48])]) ).
fof(f3294,plain,
( ~ spl34_15
| ~ spl34_158
| ~ spl34_233 ),
inference(avatar_contradiction_clause,[],[f3293]) ).
fof(f3293,plain,
( $false
| ~ spl34_15
| ~ spl34_158
| ~ spl34_233 ),
inference(subsumption_resolution,[],[f3292,f224]) ).
fof(f3292,plain,
( e1 = e4
| ~ spl34_15
| ~ spl34_158
| ~ spl34_233 ),
inference(forward_demodulation,[],[f3291,f1512]) ).
fof(f3291,plain,
( e4 = op(e2,e0)
| ~ spl34_15
| ~ spl34_158 ),
inference(forward_demodulation,[],[f488,f1190]) ).
fof(f3285,plain,
( ~ spl34_7
| ~ spl34_151
| ~ spl34_214 ),
inference(avatar_contradiction_clause,[],[f3284]) ).
fof(f3284,plain,
( $false
| ~ spl34_7
| ~ spl34_151
| ~ spl34_214 ),
inference(subsumption_resolution,[],[f3283,f221]) ).
fof(f3283,plain,
( e0 = e4
| ~ spl34_7
| ~ spl34_151
| ~ spl34_214 ),
inference(forward_demodulation,[],[f3282,f1428]) ).
fof(f3282,plain,
( e4 = op(e3,e2)
| ~ spl34_7
| ~ spl34_151 ),
inference(forward_demodulation,[],[f450,f1160]) ).
fof(f3273,plain,
( spl34_29
| ~ spl34_188
| ~ spl34_192 ),
inference(avatar_contradiction_clause,[],[f3272]) ).
fof(f3272,plain,
( $false
| spl34_29
| ~ spl34_188
| ~ spl34_192 ),
inference(subsumption_resolution,[],[f3271,f1317]) ).
fof(f1317,plain,
( e3 = op(e1,e3)
| ~ spl34_188 ),
inference(avatar_component_clause,[],[f1315]) ).
fof(f3271,plain,
( e3 != op(e1,e3)
| spl34_29
| ~ spl34_192 ),
inference(forward_demodulation,[],[f557,f1334]) ).
fof(f557,plain,
( op(e1,e3) != op(e3,e1)
| spl34_29 ),
inference(avatar_component_clause,[],[f555]) ).
fof(f555,plain,
( spl34_29
<=> op(e1,e3) = op(e3,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_29])]) ).
fof(f3102,plain,
( ~ spl34_240
| ~ spl34_249 ),
inference(avatar_contradiction_clause,[],[f3101]) ).
fof(f3101,plain,
( $false
| ~ spl34_240
| ~ spl34_249 ),
inference(subsumption_resolution,[],[f3100,f224]) ).
fof(f3100,plain,
( e1 = e4
| ~ spl34_240
| ~ spl34_249 ),
inference(backward_demodulation,[],[f1543,f1585]) ).
fof(f1543,plain,
( e4 = op(e0,e1)
| ~ spl34_240 ),
inference(avatar_component_clause,[],[f1541]) ).
fof(f3064,plain,
( ~ spl34_197
| ~ spl34_211 ),
inference(avatar_contradiction_clause,[],[f3063]) ).
fof(f3063,plain,
( $false
| ~ spl34_197
| ~ spl34_211 ),
inference(subsumption_resolution,[],[f3062,f219]) ).
fof(f3062,plain,
( e0 = e2
| ~ spl34_197
| ~ spl34_211 ),
inference(backward_demodulation,[],[f1355,f1415]) ).
fof(f1415,plain,
( e0 = op(e3,e3)
| ~ spl34_211 ),
inference(avatar_component_clause,[],[f1413]) ).
fof(f1413,plain,
( spl34_211
<=> e0 = op(e3,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_211])]) ).
fof(f1355,plain,
( e2 = op(e3,e3)
| ~ spl34_197 ),
inference(avatar_component_clause,[],[f1353]) ).
fof(f1353,plain,
( spl34_197
<=> e2 = op(e3,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_197])]) ).
fof(f3044,plain,
( ~ spl34_215
| ~ spl34_217 ),
inference(avatar_split_clause,[],[f2615,f1439,f1431]) ).
fof(f1431,plain,
( spl34_215
<=> e4 = op(e0,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_215])]) ).
fof(f2615,plain,
( e4 != op(e0,e2)
| ~ spl34_217 ),
inference(forward_demodulation,[],[f249,f1441]) ).
fof(f249,plain,
op(e0,e2) != op(e2,e2),
inference(cnf_transformation,[],[f4]) ).
fof(f3041,plain,
( ~ spl34_225
| ~ spl34_226 ),
inference(avatar_split_clause,[],[f3040,f1479,f1475]) ).
fof(f3040,plain,
( e2 != op(e0,e2)
| ~ spl34_226 ),
inference(forward_demodulation,[],[f248,f1481]) ).
fof(f248,plain,
op(e0,e2) != op(e1,e2),
inference(cnf_transformation,[],[f4]) ).
fof(f3039,plain,
( ~ spl34_178
| ~ spl34_175 ),
inference(avatar_split_clause,[],[f2932,f1259,f1272]) ).
fof(f1272,plain,
( spl34_178
<=> e0 = op(e4,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_178])]) ).
fof(f2932,plain,
( e0 != op(e4,e2)
| ~ spl34_175 ),
inference(forward_demodulation,[],[f326,f1261]) ).
fof(f326,plain,
op(e4,e2) != op(e4,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f3024,plain,
( ~ spl34_161
| ~ spl34_170 ),
inference(avatar_contradiction_clause,[],[f3023]) ).
fof(f3023,plain,
( $false
| ~ spl34_161
| ~ spl34_170 ),
inference(subsumption_resolution,[],[f3022,f222]) ).
fof(f3022,plain,
( e1 = e2
| ~ spl34_161
| ~ spl34_170 ),
inference(forward_demodulation,[],[f1202,f1240]) ).
fof(f1240,plain,
( e1 = op(e4,e3)
| ~ spl34_170 ),
inference(avatar_component_clause,[],[f1238]) ).
fof(f3021,plain,
( ~ spl34_220
| ~ spl34_230 ),
inference(avatar_contradiction_clause,[],[f3020]) ).
fof(f3020,plain,
( $false
| ~ spl34_220
| ~ spl34_230 ),
inference(subsumption_resolution,[],[f3017,f223]) ).
fof(f3017,plain,
( e1 = e3
| ~ spl34_220
| ~ spl34_230 ),
inference(backward_demodulation,[],[f1455,f1499]) ).
fof(f1499,plain,
( e1 = op(e0,e2)
| ~ spl34_230 ),
inference(avatar_component_clause,[],[f1497]) ).
fof(f2989,plain,
( ~ spl34_188
| ~ spl34_209 ),
inference(avatar_contradiction_clause,[],[f2988]) ).
fof(f2988,plain,
( $false
| ~ spl34_188
| ~ spl34_209 ),
inference(subsumption_resolution,[],[f2987,f220]) ).
fof(f220,plain,
e0 != e3,
inference(cnf_transformation,[],[f5]) ).
fof(f2987,plain,
( e0 = e3
| ~ spl34_188
| ~ spl34_209 ),
inference(backward_demodulation,[],[f1317,f1407]) ).
fof(f2974,plain,
( ~ spl34_180
| ~ spl34_201 ),
inference(avatar_contradiction_clause,[],[f2973]) ).
fof(f2973,plain,
( $false
| ~ spl34_180
| ~ spl34_201 ),
inference(subsumption_resolution,[],[f2970,f224]) ).
fof(f2970,plain,
( e1 = e4
| ~ spl34_180
| ~ spl34_201 ),
inference(backward_demodulation,[],[f1283,f1373]) ).
fof(f2936,plain,
( ~ spl34_142
| ~ spl34_217 ),
inference(avatar_split_clause,[],[f2935,f1439,f1120]) ).
fof(f1120,plain,
( spl34_142
<=> e4 = op(e4,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_142])]) ).
fof(f2935,plain,
( e4 != op(e4,e2)
| ~ spl34_217 ),
inference(forward_demodulation,[],[f256,f1441]) ).
fof(f256,plain,
op(e2,e2) != op(e4,e2),
inference(cnf_transformation,[],[f4]) ).
fof(f2921,plain,
( ~ spl34_183
| ~ spl34_197 ),
inference(avatar_contradiction_clause,[],[f2920]) ).
fof(f2920,plain,
( $false
| ~ spl34_183
| ~ spl34_197 ),
inference(subsumption_resolution,[],[f2918,f226]) ).
fof(f2918,plain,
( e2 = e4
| ~ spl34_183
| ~ spl34_197 ),
inference(backward_demodulation,[],[f1295,f1355]) ).
fof(f1295,plain,
( e4 = op(e3,e3)
| ~ spl34_183 ),
inference(avatar_component_clause,[],[f1293]) ).
fof(f1293,plain,
( spl34_183
<=> e4 = op(e3,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_183])]) ).
fof(f2915,plain,
( ~ spl34_188
| ~ spl34_195 ),
inference(avatar_contradiction_clause,[],[f2914]) ).
fof(f2914,plain,
( $false
| ~ spl34_188
| ~ spl34_195 ),
inference(subsumption_resolution,[],[f2913,f225]) ).
fof(f2913,plain,
( e2 = e3
| ~ spl34_188
| ~ spl34_195 ),
inference(backward_demodulation,[],[f1317,f1347]) ).
fof(f1347,plain,
( e2 = op(e1,e3)
| ~ spl34_195 ),
inference(avatar_component_clause,[],[f1345]) ).
fof(f2855,plain,
( spl34_141
| ~ spl34_261 ),
inference(avatar_split_clause,[],[f2854,f1645,f1116]) ).
fof(f1645,plain,
( spl34_261
<=> e1 = unit ),
introduced(avatar_definition,[new_symbols(naming,[spl34_261])]) ).
fof(f2854,plain,
( e4 = op(e4,e1)
| ~ spl34_261 ),
inference(forward_demodulation,[],[f387,f1647]) ).
fof(f1647,plain,
( e1 = unit
| ~ spl34_261 ),
inference(avatar_component_clause,[],[f1645]) ).
fof(f2853,plain,
( spl34_136
| ~ spl34_261 ),
inference(avatar_split_clause,[],[f2852,f1645,f1095]) ).
fof(f2852,plain,
( e4 = op(e1,e4)
| ~ spl34_261 ),
inference(forward_demodulation,[],[f386,f1647]) ).
fof(f2851,plain,
( spl34_192
| ~ spl34_261 ),
inference(avatar_split_clause,[],[f2850,f1645,f1332]) ).
fof(f2850,plain,
( e3 = op(e3,e1)
| ~ spl34_261 ),
inference(forward_demodulation,[],[f385,f1647]) ).
fof(f2849,plain,
( spl34_188
| ~ spl34_261 ),
inference(avatar_split_clause,[],[f2848,f1645,f1315]) ).
fof(f2848,plain,
( e3 = op(e1,e3)
| ~ spl34_261 ),
inference(forward_demodulation,[],[f384,f1647]) ).
fof(f2847,plain,
( spl34_229
| ~ spl34_261 ),
inference(avatar_split_clause,[],[f2846,f1645,f1492]) ).
fof(f2846,plain,
( e2 = op(e2,e1)
| ~ spl34_261 ),
inference(forward_demodulation,[],[f383,f1647]) ).
fof(f2845,plain,
( spl34_226
| ~ spl34_261 ),
inference(avatar_split_clause,[],[f2844,f1645,f1479]) ).
fof(f2844,plain,
( e2 = op(e1,e2)
| ~ spl34_261 ),
inference(forward_demodulation,[],[f382,f1647]) ).
fof(f2843,plain,
( spl34_250
| ~ spl34_261 ),
inference(avatar_split_clause,[],[f2842,f1645,f1587]) ).
fof(f2842,plain,
( e1 = op(e1,e1)
| ~ spl34_261 ),
inference(forward_demodulation,[],[f381,f1647]) ).
fof(f2839,plain,
( spl34_252
| ~ spl34_261 ),
inference(avatar_split_clause,[],[f2838,f1645,f1597]) ).
fof(f2838,plain,
( e0 = op(e0,e1)
| ~ spl34_261 ),
inference(forward_demodulation,[],[f379,f1647]) ).
fof(f379,plain,
e0 = op(e0,unit),
inference(cnf_transformation,[],[f2]) ).
fof(f2837,plain,
( spl34_254
| ~ spl34_261 ),
inference(avatar_split_clause,[],[f2836,f1645,f1606]) ).
fof(f2836,plain,
( e0 = op(e1,e0)
| ~ spl34_261 ),
inference(forward_demodulation,[],[f378,f1647]) ).
fof(f378,plain,
e0 = op(unit,e0),
inference(cnf_transformation,[],[f2]) ).
fof(f2823,plain,
( ~ spl34_216
| ~ spl34_217 ),
inference(avatar_split_clause,[],[f2621,f1439,f1435]) ).
fof(f1435,plain,
( spl34_216
<=> e4 = op(e1,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_216])]) ).
fof(f2621,plain,
( e4 != op(e1,e2)
| ~ spl34_217 ),
inference(forward_demodulation,[],[f252,f1441]) ).
fof(f252,plain,
op(e1,e2) != op(e2,e2),
inference(cnf_transformation,[],[f4]) ).
fof(f2816,plain,
( ~ spl34_187
| ~ spl34_220 ),
inference(avatar_split_clause,[],[f2815,f1453,f1311]) ).
fof(f2815,plain,
( e3 != op(e0,e3)
| ~ spl34_220 ),
inference(forward_demodulation,[],[f285,f1455]) ).
fof(f285,plain,
op(e0,e2) != op(e0,e3),
inference(cnf_transformation,[],[f4]) ).
fof(f2810,plain,
( ~ spl34_186
| ~ spl34_217 ),
inference(avatar_split_clause,[],[f2809,f1439,f1306]) ).
fof(f1306,plain,
( spl34_186
<=> e4 = op(e3,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_186])]) ).
fof(f2809,plain,
( e4 != op(e3,e2)
| ~ spl34_217 ),
inference(forward_demodulation,[],[f255,f1441]) ).
fof(f255,plain,
op(e2,e2) != op(e3,e2),
inference(cnf_transformation,[],[f4]) ).
fof(f2805,plain,
( ~ spl34_182
| ~ spl34_217 ),
inference(avatar_split_clause,[],[f2804,f1439,f1289]) ).
fof(f1289,plain,
( spl34_182
<=> e4 = op(e2,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_182])]) ).
fof(f2804,plain,
( e4 != op(e2,e3)
| ~ spl34_217 ),
inference(forward_demodulation,[],[f305,f1441]) ).
fof(f305,plain,
op(e2,e2) != op(e2,e3),
inference(cnf_transformation,[],[f4]) ).
fof(f2799,plain,
( spl34_175
| ~ spl34_217 ),
inference(avatar_split_clause,[],[f2747,f1439,f1259]) ).
fof(f2747,plain,
( e0 = op(e4,e4)
| ~ spl34_217 ),
inference(forward_demodulation,[],[f214,f1441]) ).
fof(f214,plain,
e0 = op(op(e2,e2),op(e2,e2)),
inference(cnf_transformation,[],[f6]) ).
fof(f6,axiom,
( e4 = op(e2,e2)
& e3 = op(e2,op(e2,e2))
& e1 = op(op(e2,op(e2,e2)),op(e2,e2))
& e0 = op(op(e2,e2),op(e2,e2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax6) ).
fof(f2778,plain,
( ~ spl34_219
| ~ spl34_217 ),
inference(avatar_split_clause,[],[f2703,f1439,f1448]) ).
fof(f1448,plain,
( spl34_219
<=> e4 = op(e2,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_219])]) ).
fof(f2703,plain,
( e4 != op(e2,e1)
| ~ spl34_217 ),
inference(forward_demodulation,[],[f302,f1441]) ).
fof(f302,plain,
op(e2,e1) != op(e2,e2),
inference(cnf_transformation,[],[f4]) ).
fof(f2776,plain,
( ~ spl34_173
| ~ spl34_175 ),
inference(avatar_split_clause,[],[f2666,f1259,f1251]) ).
fof(f2666,plain,
( e0 != op(e2,e4)
| ~ spl34_175 ),
inference(forward_demodulation,[],[f276,f1261]) ).
fof(f276,plain,
op(e2,e4) != op(e4,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f2759,plain,
( spl34_146
| ~ spl34_217 ),
inference(avatar_split_clause,[],[f2582,f1439,f1137]) ).
fof(f2582,plain,
( e3 = op(e2,e4)
| ~ spl34_217 ),
inference(forward_demodulation,[],[f216,f1441]) ).
fof(f216,plain,
e3 = op(e2,op(e2,e2)),
inference(cnf_transformation,[],[f6]) ).
fof(f2753,plain,
( ~ spl34_146
| spl34_165
| ~ spl34_217 ),
inference(avatar_contradiction_clause,[],[f2752]) ).
fof(f2752,plain,
( $false
| ~ spl34_146
| spl34_165
| ~ spl34_217 ),
inference(subsumption_resolution,[],[f2751,f1218]) ).
fof(f1218,plain,
( e1 != op(e3,e4)
| spl34_165 ),
inference(avatar_component_clause,[],[f1217]) ).
fof(f2751,plain,
( e1 = op(e3,e4)
| ~ spl34_146
| ~ spl34_217 ),
inference(forward_demodulation,[],[f2750,f1139]) ).
fof(f2750,plain,
( e1 = op(op(e2,e4),e4)
| ~ spl34_217 ),
inference(forward_demodulation,[],[f215,f1441]) ).
fof(f215,plain,
e1 = op(op(e2,op(e2,e2)),op(e2,e2)),
inference(cnf_transformation,[],[f6]) ).
fof(f2688,plain,
( ~ spl34_247
| ~ spl34_154 ),
inference(avatar_split_clause,[],[f2687,f1171,f1573]) ).
fof(f1573,plain,
( spl34_247
<=> e2 = op(e1,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_247])]) ).
fof(f2687,plain,
( e2 != op(e1,e1)
| ~ spl34_154 ),
inference(forward_demodulation,[],[f294,f1173]) ).
fof(f294,plain,
op(e1,e1) != op(e1,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f2604,plain,
( ~ spl34_253
| ~ spl34_239 ),
inference(avatar_split_clause,[],[f2603,f1536,f1601]) ).
fof(f1601,plain,
( spl34_253
<=> e0 = op(e1,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_253])]) ).
fof(f2603,plain,
( e0 != op(e1,e1)
| ~ spl34_239 ),
inference(forward_demodulation,[],[f242,f1538]) ).
fof(f242,plain,
op(e1,e1) != op(e2,e1),
inference(cnf_transformation,[],[f4]) ).
fof(f2585,plain,
( ~ spl34_258
| ~ spl34_233 ),
inference(avatar_split_clause,[],[f2584,f1510,f1629]) ).
fof(f1629,plain,
( spl34_258
<=> op(e0,e0) = e1 ),
introduced(avatar_definition,[new_symbols(naming,[spl34_258])]) ).
fof(f2584,plain,
( op(e0,e0) != e1
| ~ spl34_233 ),
inference(forward_demodulation,[],[f229,f1512]) ).
fof(f229,plain,
op(e0,e0) != op(e2,e0),
inference(cnf_transformation,[],[f4]) ).
fof(f2576,plain,
( ~ spl34_140
| ~ spl34_158 ),
inference(avatar_contradiction_clause,[],[f2575]) ).
fof(f2575,plain,
( $false
| ~ spl34_140
| ~ spl34_158 ),
inference(subsumption_resolution,[],[f2574,f226]) ).
fof(f2574,plain,
( e2 = e4
| ~ spl34_140
| ~ spl34_158 ),
inference(forward_demodulation,[],[f1114,f1190]) ).
fof(f2557,plain,
( ~ spl34_255
| ~ spl34_256 ),
inference(avatar_contradiction_clause,[],[f2556]) ).
fof(f2556,plain,
( $false
| ~ spl34_255
| ~ spl34_256 ),
inference(subsumption_resolution,[],[f2555,f227]) ).
fof(f227,plain,
e3 != e4,
inference(cnf_transformation,[],[f5]) ).
fof(f2555,plain,
( e3 = e4
| ~ spl34_255
| ~ spl34_256 ),
inference(backward_demodulation,[],[f1613,f1619]) ).
fof(f1619,plain,
( op(e0,e0) = e3
| ~ spl34_256 ),
inference(avatar_component_clause,[],[f1617]) ).
fof(f1617,plain,
( spl34_256
<=> op(e0,e0) = e3 ),
introduced(avatar_definition,[new_symbols(naming,[spl34_256])]) ).
fof(f1613,plain,
( op(e0,e0) = e4
| ~ spl34_255 ),
inference(avatar_component_clause,[],[f1611]) ).
fof(f1611,plain,
( spl34_255
<=> op(e0,e0) = e4 ),
introduced(avatar_definition,[new_symbols(naming,[spl34_255])]) ).
fof(f2551,plain,
( ~ spl34_245
| ~ spl34_254 ),
inference(avatar_contradiction_clause,[],[f2550]) ).
fof(f2550,plain,
( $false
| ~ spl34_245
| ~ spl34_254 ),
inference(subsumption_resolution,[],[f2549,f220]) ).
fof(f2549,plain,
( e0 = e3
| ~ spl34_245
| ~ spl34_254 ),
inference(backward_demodulation,[],[f1566,f1608]) ).
fof(f1566,plain,
( e3 = op(e1,e0)
| ~ spl34_245 ),
inference(avatar_component_clause,[],[f1564]) ).
fof(f1564,plain,
( spl34_245
<=> e3 = op(e1,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_245])]) ).
fof(f2538,plain,
( ~ spl34_245
| ~ spl34_251 ),
inference(avatar_contradiction_clause,[],[f2537]) ).
fof(f2537,plain,
( $false
| ~ spl34_245
| ~ spl34_251 ),
inference(subsumption_resolution,[],[f2536,f223]) ).
fof(f2536,plain,
( e1 = e3
| ~ spl34_245
| ~ spl34_251 ),
inference(backward_demodulation,[],[f1566,f1594]) ).
fof(f2527,plain,
( ~ spl34_246
| ~ spl34_249 ),
inference(avatar_contradiction_clause,[],[f2526]) ).
fof(f2526,plain,
( $false
| ~ spl34_246
| ~ spl34_249 ),
inference(subsumption_resolution,[],[f2525,f222]) ).
fof(f2525,plain,
( e1 = e2
| ~ spl34_246
| ~ spl34_249 ),
inference(backward_demodulation,[],[f1571,f1585]) ).
fof(f1571,plain,
( e2 = op(e0,e1)
| ~ spl34_246 ),
inference(avatar_component_clause,[],[f1569]) ).
fof(f1569,plain,
( spl34_246
<=> e2 = op(e0,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_246])]) ).
fof(f2471,plain,
( ~ spl34_241
| ~ spl34_244 ),
inference(avatar_contradiction_clause,[],[f2470]) ).
fof(f2470,plain,
( $false
| ~ spl34_241
| ~ spl34_244 ),
inference(subsumption_resolution,[],[f2469,f227]) ).
fof(f2469,plain,
( e3 = e4
| ~ spl34_241
| ~ spl34_244 ),
inference(backward_demodulation,[],[f1547,f1561]) ).
fof(f1561,plain,
( e3 = op(e1,e1)
| ~ spl34_244 ),
inference(avatar_component_clause,[],[f1559]) ).
fof(f1559,plain,
( spl34_244
<=> e3 = op(e1,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_244])]) ).
fof(f2465,plain,
( ~ spl34_229
| ~ spl34_239 ),
inference(avatar_contradiction_clause,[],[f2464]) ).
fof(f2464,plain,
( $false
| ~ spl34_229
| ~ spl34_239 ),
inference(subsumption_resolution,[],[f2463,f219]) ).
fof(f2463,plain,
( e0 = e2
| ~ spl34_229
| ~ spl34_239 ),
inference(backward_demodulation,[],[f1494,f1538]) ).
fof(f2418,plain,
( spl34_138
| ~ spl34_263 ),
inference(avatar_split_clause,[],[f2417,f1653,f1103]) ).
fof(f1103,plain,
( spl34_138
<=> e4 = op(e3,e4) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_138])]) ).
fof(f1653,plain,
( spl34_263
<=> e3 = unit ),
introduced(avatar_definition,[new_symbols(naming,[spl34_263])]) ).
fof(f2417,plain,
( e4 = op(e3,e4)
| ~ spl34_263 ),
inference(forward_demodulation,[],[f386,f1655]) ).
fof(f1655,plain,
( e3 = unit
| ~ spl34_263 ),
inference(avatar_component_clause,[],[f1653]) ).
fof(f2371,plain,
( ~ spl34_217
| ~ spl34_232 ),
inference(avatar_contradiction_clause,[],[f2370]) ).
fof(f2370,plain,
( $false
| ~ spl34_217
| ~ spl34_232 ),
inference(subsumption_resolution,[],[f2369,f224]) ).
fof(f2369,plain,
( e1 = e4
| ~ spl34_217
| ~ spl34_232 ),
inference(backward_demodulation,[],[f1441,f1507]) ).
fof(f1507,plain,
( e1 = op(e2,e2)
| ~ spl34_232 ),
inference(avatar_component_clause,[],[f1505]) ).
fof(f1505,plain,
( spl34_232
<=> e1 = op(e2,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_232])]) ).
fof(f2289,plain,
( ~ spl34_217
| ~ spl34_227 ),
inference(avatar_contradiction_clause,[],[f2288]) ).
fof(f2288,plain,
( $false
| ~ spl34_217
| ~ spl34_227 ),
inference(subsumption_resolution,[],[f2287,f226]) ).
fof(f2287,plain,
( e2 = e4
| ~ spl34_217
| ~ spl34_227 ),
inference(backward_demodulation,[],[f1441,f1485]) ).
fof(f1485,plain,
( e2 = op(e2,e2)
| ~ spl34_227 ),
inference(avatar_component_clause,[],[f1483]) ).
fof(f1483,plain,
( spl34_227
<=> e2 = op(e2,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_227])]) ).
fof(f2254,plain,
( ~ spl34_151
| ~ spl34_160 ),
inference(avatar_contradiction_clause,[],[f2253]) ).
fof(f2253,plain,
( $false
| ~ spl34_151
| ~ spl34_160 ),
inference(subsumption_resolution,[],[f2252,f225]) ).
fof(f2252,plain,
( e2 = e3
| ~ spl34_151
| ~ spl34_160 ),
inference(backward_demodulation,[],[f1160,f1198]) ).
fof(f1198,plain,
( e2 = op(e4,e2)
| ~ spl34_160 ),
inference(avatar_component_clause,[],[f1196]) ).
fof(f2233,plain,
( ~ spl34_217
| ~ spl34_222 ),
inference(avatar_contradiction_clause,[],[f2232]) ).
fof(f2232,plain,
( $false
| ~ spl34_217
| ~ spl34_222 ),
inference(subsumption_resolution,[],[f2231,f227]) ).
fof(f2231,plain,
( e3 = e4
| ~ spl34_217
| ~ spl34_222 ),
inference(backward_demodulation,[],[f1441,f1463]) ).
fof(f1463,plain,
( e3 = op(e2,e2)
| ~ spl34_222 ),
inference(avatar_component_clause,[],[f1461]) ).
fof(f1461,plain,
( spl34_222
<=> e3 = op(e2,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_222])]) ).
fof(f2211,plain,
( ~ spl34_187
| ~ spl34_208 ),
inference(avatar_contradiction_clause,[],[f2210]) ).
fof(f2210,plain,
( $false
| ~ spl34_187
| ~ spl34_208 ),
inference(subsumption_resolution,[],[f2209,f220]) ).
fof(f2209,plain,
( e0 = e3
| ~ spl34_187
| ~ spl34_208 ),
inference(backward_demodulation,[],[f1313,f1403]) ).
fof(f1403,plain,
( e0 = op(e0,e3)
| ~ spl34_208 ),
inference(avatar_component_clause,[],[f1401]) ).
fof(f1401,plain,
( spl34_208
<=> e0 = op(e0,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_208])]) ).
fof(f2201,plain,
( ~ spl34_188
| ~ spl34_202 ),
inference(avatar_contradiction_clause,[],[f2200]) ).
fof(f2200,plain,
( $false
| ~ spl34_188
| ~ spl34_202 ),
inference(subsumption_resolution,[],[f2199,f223]) ).
fof(f2199,plain,
( e1 = e3
| ~ spl34_188
| ~ spl34_202 ),
inference(backward_demodulation,[],[f1317,f1377]) ).
fof(f1377,plain,
( e1 = op(e1,e3)
| ~ spl34_202 ),
inference(avatar_component_clause,[],[f1375]) ).
fof(f2167,plain,
( ~ spl34_181
| ~ spl34_188 ),
inference(avatar_contradiction_clause,[],[f2166]) ).
fof(f2166,plain,
( $false
| ~ spl34_181
| ~ spl34_188 ),
inference(subsumption_resolution,[],[f2165,f227]) ).
fof(f2165,plain,
( e3 = e4
| ~ spl34_181
| ~ spl34_188 ),
inference(backward_demodulation,[],[f1287,f1317]) ).
fof(f2070,plain,
( ~ spl34_136
| ~ spl34_145 ),
inference(avatar_contradiction_clause,[],[f2069]) ).
fof(f2069,plain,
( $false
| ~ spl34_136
| ~ spl34_145 ),
inference(subsumption_resolution,[],[f2066,f227]) ).
fof(f2066,plain,
( e3 = e4
| ~ spl34_136
| ~ spl34_145 ),
inference(backward_demodulation,[],[f1097,f1135]) ).
fof(f1135,plain,
( e3 = op(e1,e4)
| ~ spl34_145 ),
inference(avatar_component_clause,[],[f1133]) ).
fof(f1097,plain,
( e4 = op(e1,e4)
| ~ spl34_136 ),
inference(avatar_component_clause,[],[f1095]) ).
fof(f2032,plain,
( ~ spl34_138
| ~ spl34_165 ),
inference(avatar_contradiction_clause,[],[f2031]) ).
fof(f2031,plain,
( $false
| ~ spl34_138
| ~ spl34_165 ),
inference(subsumption_resolution,[],[f2030,f224]) ).
fof(f2030,plain,
( e1 = e4
| ~ spl34_138
| ~ spl34_165 ),
inference(backward_demodulation,[],[f1105,f1219]) ).
fof(f1105,plain,
( e4 = op(e3,e4)
| ~ spl34_138 ),
inference(avatar_component_clause,[],[f1103]) ).
fof(f2017,plain,
( ~ spl34_146
| ~ spl34_164 ),
inference(avatar_contradiction_clause,[],[f2016]) ).
fof(f2016,plain,
( $false
| ~ spl34_146
| ~ spl34_164 ),
inference(subsumption_resolution,[],[f2015,f223]) ).
fof(f2015,plain,
( e1 = e3
| ~ spl34_146
| ~ spl34_164 ),
inference(forward_demodulation,[],[f1139,f1215]) ).
fof(f1215,plain,
( e1 = op(e2,e4)
| ~ spl34_164 ),
inference(avatar_component_clause,[],[f1213]) ).
fof(f1969,plain,
( ~ spl34_159
| ~ spl34_261 ),
inference(avatar_contradiction_clause,[],[f1968]) ).
fof(f1968,plain,
( $false
| ~ spl34_159
| ~ spl34_261 ),
inference(subsumption_resolution,[],[f1967,f226]) ).
fof(f1967,plain,
( e2 = e4
| ~ spl34_159
| ~ spl34_261 ),
inference(forward_demodulation,[],[f1966,f1194]) ).
fof(f1194,plain,
( e2 = op(e4,e1)
| ~ spl34_159 ),
inference(avatar_component_clause,[],[f1192]) ).
fof(f1966,plain,
( e4 = op(e4,e1)
| ~ spl34_261 ),
inference(forward_demodulation,[],[f387,f1647]) ).
fof(f1912,plain,
( ~ spl34_150
| ~ spl34_159 ),
inference(avatar_contradiction_clause,[],[f1911]) ).
fof(f1911,plain,
( $false
| ~ spl34_150
| ~ spl34_159 ),
inference(subsumption_resolution,[],[f1910,f225]) ).
fof(f1910,plain,
( e2 = e3
| ~ spl34_150
| ~ spl34_159 ),
inference(backward_demodulation,[],[f1156,f1194]) ).
fof(f1884,plain,
( spl34_227
| ~ spl34_262 ),
inference(avatar_split_clause,[],[f1883,f1649,f1483]) ).
fof(f1649,plain,
( spl34_262
<=> e2 = unit ),
introduced(avatar_definition,[new_symbols(naming,[spl34_262])]) ).
fof(f1883,plain,
( e2 = op(e2,e2)
| ~ spl34_262 ),
inference(forward_demodulation,[],[f383,f1651]) ).
fof(f1651,plain,
( e2 = unit
| ~ spl34_262 ),
inference(avatar_component_clause,[],[f1649]) ).
fof(f1807,plain,
( spl34_171
| ~ spl34_264 ),
inference(avatar_split_clause,[],[f1806,f1657,f1243]) ).
fof(f1657,plain,
( spl34_264
<=> e4 = unit ),
introduced(avatar_definition,[new_symbols(naming,[spl34_264])]) ).
fof(f1806,plain,
( e0 = op(e0,e4)
| ~ spl34_264 ),
inference(forward_demodulation,[],[f379,f1659]) ).
fof(f1659,plain,
( e4 = unit
| ~ spl34_264 ),
inference(avatar_component_clause,[],[f1657]) ).
fof(f1797,plain,
( ~ spl34_136
| ~ spl34_154 ),
inference(avatar_contradiction_clause,[],[f1796]) ).
fof(f1796,plain,
( $false
| ~ spl34_136
| ~ spl34_154 ),
inference(subsumption_resolution,[],[f1795,f226]) ).
fof(f1795,plain,
( e2 = e4
| ~ spl34_136
| ~ spl34_154 ),
inference(forward_demodulation,[],[f1097,f1173]) ).
fof(f1794,plain,
( ~ spl34_135
| ~ spl34_153 ),
inference(avatar_contradiction_clause,[],[f1793]) ).
fof(f1793,plain,
( $false
| ~ spl34_135
| ~ spl34_153 ),
inference(subsumption_resolution,[],[f1792,f226]) ).
fof(f1792,plain,
( e2 = e4
| ~ spl34_135
| ~ spl34_153 ),
inference(forward_demodulation,[],[f1093,f1169]) ).
fof(f1791,plain,
( ~ spl34_146
| ~ spl34_155 ),
inference(avatar_contradiction_clause,[],[f1790]) ).
fof(f1790,plain,
( $false
| ~ spl34_146
| ~ spl34_155 ),
inference(subsumption_resolution,[],[f1789,f225]) ).
fof(f1789,plain,
( e2 = e3
| ~ spl34_146
| ~ spl34_155 ),
inference(backward_demodulation,[],[f1139,f1177]) ).
fof(f1177,plain,
( e2 = op(e2,e4)
| ~ spl34_155 ),
inference(avatar_component_clause,[],[f1175]) ).
fof(f1175,plain,
( spl34_155
<=> e2 = op(e2,e4) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_155])]) ).
fof(f1787,plain,
( ~ spl34_145
| ~ spl34_154 ),
inference(avatar_contradiction_clause,[],[f1786]) ).
fof(f1786,plain,
( $false
| ~ spl34_145
| ~ spl34_154 ),
inference(subsumption_resolution,[],[f1785,f225]) ).
fof(f1785,plain,
( e2 = e3
| ~ spl34_145
| ~ spl34_154 ),
inference(backward_demodulation,[],[f1135,f1173]) ).
fof(f1686,plain,
spl34_217,
inference(avatar_split_clause,[],[f217,f1439]) ).
fof(f217,plain,
e4 = op(e2,e2),
inference(cnf_transformation,[],[f6]) ).
fof(f1683,plain,
( spl34_235
| spl34_230
| spl34_225
| spl34_220
| spl34_215 ),
inference(avatar_split_clause,[],[f391,f1431,f1453,f1475,f1497,f1519]) ).
fof(f391,plain,
( e4 = op(e0,e2)
| e3 = op(e0,e2)
| e2 = op(e0,e2)
| e1 = op(e0,e2)
| e0 = op(e0,e2) ),
inference(cnf_transformation,[],[f1]) ).
fof(f1,axiom,
( ( e4 = op(e4,e4)
| e3 = op(e4,e4)
| e2 = op(e4,e4)
| e1 = op(e4,e4)
| e0 = op(e4,e4) )
& ( e4 = op(e4,e3)
| e3 = op(e4,e3)
| e2 = op(e4,e3)
| e1 = op(e4,e3)
| e0 = op(e4,e3) )
& ( e4 = op(e4,e2)
| e3 = op(e4,e2)
| e2 = op(e4,e2)
| e1 = op(e4,e2)
| e0 = op(e4,e2) )
& ( e4 = op(e4,e1)
| e3 = op(e4,e1)
| e2 = op(e4,e1)
| e1 = op(e4,e1)
| e0 = op(e4,e1) )
& ( e4 = op(e4,e0)
| e3 = op(e4,e0)
| e2 = op(e4,e0)
| e1 = op(e4,e0)
| e0 = op(e4,e0) )
& ( e4 = op(e3,e4)
| e3 = op(e3,e4)
| e2 = op(e3,e4)
| e1 = op(e3,e4)
| e0 = op(e3,e4) )
& ( e4 = op(e3,e3)
| e3 = op(e3,e3)
| e2 = op(e3,e3)
| e1 = op(e3,e3)
| e0 = op(e3,e3) )
& ( e4 = op(e3,e2)
| e3 = op(e3,e2)
| e2 = op(e3,e2)
| e1 = op(e3,e2)
| e0 = op(e3,e2) )
& ( e4 = op(e3,e1)
| e3 = op(e3,e1)
| e2 = op(e3,e1)
| e1 = op(e3,e1)
| e0 = op(e3,e1) )
& ( e4 = op(e3,e0)
| e3 = op(e3,e0)
| e2 = op(e3,e0)
| e1 = op(e3,e0)
| e0 = op(e3,e0) )
& ( e4 = op(e2,e4)
| e3 = op(e2,e4)
| e2 = op(e2,e4)
| e1 = op(e2,e4)
| e0 = op(e2,e4) )
& ( e4 = op(e2,e3)
| e3 = op(e2,e3)
| e2 = op(e2,e3)
| e1 = op(e2,e3)
| e0 = op(e2,e3) )
& ( e4 = op(e2,e2)
| e3 = op(e2,e2)
| e2 = op(e2,e2)
| e1 = op(e2,e2)
| e0 = op(e2,e2) )
& ( e4 = op(e2,e1)
| e3 = op(e2,e1)
| e2 = op(e2,e1)
| e1 = op(e2,e1)
| e0 = op(e2,e1) )
& ( e4 = op(e2,e0)
| e3 = op(e2,e0)
| e2 = op(e2,e0)
| e1 = op(e2,e0)
| e0 = op(e2,e0) )
& ( e4 = op(e1,e4)
| e3 = op(e1,e4)
| e2 = op(e1,e4)
| e1 = op(e1,e4)
| e0 = op(e1,e4) )
& ( e4 = op(e1,e3)
| e3 = op(e1,e3)
| e2 = op(e1,e3)
| e1 = op(e1,e3)
| e0 = op(e1,e3) )
& ( e4 = op(e1,e2)
| e3 = op(e1,e2)
| e2 = op(e1,e2)
| e1 = op(e1,e2)
| e0 = op(e1,e2) )
& ( e4 = op(e1,e1)
| e3 = op(e1,e1)
| e2 = op(e1,e1)
| e1 = op(e1,e1)
| e0 = op(e1,e1) )
& ( e4 = op(e1,e0)
| e3 = op(e1,e0)
| e2 = op(e1,e0)
| e1 = op(e1,e0)
| e0 = op(e1,e0) )
& ( e4 = op(e0,e4)
| e3 = op(e0,e4)
| e2 = op(e0,e4)
| e1 = op(e0,e4)
| e0 = op(e0,e4) )
& ( e4 = op(e0,e3)
| e3 = op(e0,e3)
| e2 = op(e0,e3)
| e1 = op(e0,e3)
| e0 = op(e0,e3) )
& ( e4 = op(e0,e2)
| e3 = op(e0,e2)
| e2 = op(e0,e2)
| e1 = op(e0,e2)
| e0 = op(e0,e2) )
& ( e4 = op(e0,e1)
| e3 = op(e0,e1)
| e2 = op(e0,e1)
| e1 = op(e0,e1)
| e0 = op(e0,e1) )
& ( op(e0,e0) = e4
| op(e0,e0) = e3
| op(e0,e0) = e2
| op(e0,e0) = e1
| e0 = op(e0,e0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax1) ).
fof(f1679,plain,
( spl34_253
| spl34_250
| spl34_247
| spl34_244
| spl34_241 ),
inference(avatar_split_clause,[],[f395,f1545,f1559,f1573,f1587,f1601]) ).
fof(f395,plain,
( e4 = op(e1,e1)
| e3 = op(e1,e1)
| e2 = op(e1,e1)
| e1 = op(e1,e1)
| e0 = op(e1,e1) ),
inference(cnf_transformation,[],[f1]) ).
fof(f1677,plain,
( spl34_209
| spl34_202
| spl34_195
| spl34_188
| spl34_181 ),
inference(avatar_split_clause,[],[f397,f1285,f1315,f1345,f1375,f1405]) ).
fof(f397,plain,
( e4 = op(e1,e3)
| e3 = op(e1,e3)
| e2 = op(e1,e3)
| e1 = op(e1,e3)
| e0 = op(e1,e3) ),
inference(cnf_transformation,[],[f1]) ).
fof(f1675,plain,
( spl34_238
| spl34_233
| spl34_228
| spl34_223
| spl34_218 ),
inference(avatar_split_clause,[],[f399,f1444,f1466,f1488,f1510,f1532]) ).
fof(f399,plain,
( e4 = op(e2,e0)
| e3 = op(e2,e0)
| e2 = op(e2,e0)
| e1 = op(e2,e0)
| e0 = op(e2,e0) ),
inference(cnf_transformation,[],[f1]) ).
fof(f1674,plain,
( spl34_239
| spl34_234
| spl34_229
| spl34_224
| spl34_219 ),
inference(avatar_split_clause,[],[f400,f1448,f1470,f1492,f1514,f1536]) ).
fof(f400,plain,
( e4 = op(e2,e1)
| e3 = op(e2,e1)
| e2 = op(e2,e1)
| e1 = op(e2,e1)
| e0 = op(e2,e1) ),
inference(cnf_transformation,[],[f1]) ).
fof(f1668,plain,
( spl34_214
| spl34_207
| spl34_200
| spl34_193
| spl34_186 ),
inference(avatar_split_clause,[],[f406,f1306,f1336,f1366,f1396,f1426]) ).
fof(f406,plain,
( e4 = op(e3,e2)
| e3 = op(e3,e2)
| e2 = op(e3,e2)
| e1 = op(e3,e2)
| e0 = op(e3,e2) ),
inference(cnf_transformation,[],[f1]) ).
fof(f1663,plain,
( spl34_178
| spl34_169
| spl34_160
| spl34_151
| spl34_142 ),
inference(avatar_split_clause,[],[f411,f1120,f1158,f1196,f1234,f1272]) ).
fof(f411,plain,
( e4 = op(e4,e2)
| e3 = op(e4,e2)
| e2 = op(e4,e2)
| e1 = op(e4,e2)
| e0 = op(e4,e2) ),
inference(cnf_transformation,[],[f1]) ).
fof(f1662,plain,
( spl34_179
| spl34_170
| spl34_161
| spl34_152
| spl34_143 ),
inference(avatar_split_clause,[],[f412,f1124,f1162,f1200,f1238,f1276]) ).
fof(f412,plain,
( e4 = op(e4,e3)
| e3 = op(e4,e3)
| e2 = op(e4,e3)
| e1 = op(e4,e3)
| e0 = op(e4,e3) ),
inference(cnf_transformation,[],[f1]) ).
fof(f1660,plain,
( spl34_260
| spl34_261
| spl34_262
| spl34_263
| spl34_264 ),
inference(avatar_split_clause,[],[f388,f1657,f1653,f1649,f1645,f1641]) ).
fof(f388,plain,
( e4 = unit
| e3 = unit
| e2 = unit
| e1 = unit
| e0 = unit ),
inference(cnf_transformation,[],[f2]) ).
fof(f1633,plain,
( spl34_258
| spl34_249
| spl34_230
| spl34_201
| spl34_162 ),
inference(avatar_split_clause,[],[f330,f1205,f1371,f1497,f1583,f1629]) ).
fof(f330,plain,
( e1 = op(e0,e4)
| e1 = op(e0,e3)
| e1 = op(e0,e2)
| e1 = op(e0,e1)
| op(e0,e0) = e1 ),
inference(cnf_transformation,[],[f3]) ).
fof(f3,axiom,
( ( e4 = op(e4,e4)
| e4 = op(e3,e4)
| e4 = op(e2,e4)
| e4 = op(e1,e4)
| e4 = op(e0,e4) )
& ( e4 = op(e4,e4)
| e4 = op(e4,e3)
| e4 = op(e4,e2)
| e4 = op(e4,e1)
| e4 = op(e4,e0) )
& ( e3 = op(e4,e4)
| e3 = op(e3,e4)
| e3 = op(e2,e4)
| e3 = op(e1,e4)
| e3 = op(e0,e4) )
& ( e3 = op(e4,e4)
| e3 = op(e4,e3)
| e3 = op(e4,e2)
| e3 = op(e4,e1)
| e3 = op(e4,e0) )
& ( e2 = op(e4,e4)
| e2 = op(e3,e4)
| e2 = op(e2,e4)
| e2 = op(e1,e4)
| e2 = op(e0,e4) )
& ( e2 = op(e4,e4)
| e2 = op(e4,e3)
| e2 = op(e4,e2)
| e2 = op(e4,e1)
| e2 = op(e4,e0) )
& ( e1 = op(e4,e4)
| e1 = op(e3,e4)
| e1 = op(e2,e4)
| e1 = op(e1,e4)
| e1 = op(e0,e4) )
& ( e1 = op(e4,e4)
| e1 = op(e4,e3)
| e1 = op(e4,e2)
| e1 = op(e4,e1)
| e1 = op(e4,e0) )
& ( e0 = op(e4,e4)
| e0 = op(e3,e4)
| e0 = op(e2,e4)
| e0 = op(e1,e4)
| e0 = op(e0,e4) )
& ( e0 = op(e4,e4)
| e0 = op(e4,e3)
| e0 = op(e4,e2)
| e0 = op(e4,e1)
| e0 = op(e4,e0) )
& ( e4 = op(e4,e3)
| e4 = op(e3,e3)
| e4 = op(e2,e3)
| e4 = op(e1,e3)
| e4 = op(e0,e3) )
& ( e4 = op(e3,e4)
| e4 = op(e3,e3)
| e4 = op(e3,e2)
| e4 = op(e3,e1)
| e4 = op(e3,e0) )
& ( e3 = op(e4,e3)
| e3 = op(e3,e3)
| e3 = op(e2,e3)
| e3 = op(e1,e3)
| e3 = op(e0,e3) )
& ( e3 = op(e3,e4)
| e3 = op(e3,e3)
| e3 = op(e3,e2)
| e3 = op(e3,e1)
| e3 = op(e3,e0) )
& ( e2 = op(e4,e3)
| e2 = op(e3,e3)
| e2 = op(e2,e3)
| e2 = op(e1,e3)
| e2 = op(e0,e3) )
& ( e2 = op(e3,e4)
| e2 = op(e3,e3)
| e2 = op(e3,e2)
| e2 = op(e3,e1)
| e2 = op(e3,e0) )
& ( e1 = op(e4,e3)
| e1 = op(e3,e3)
| e1 = op(e2,e3)
| e1 = op(e1,e3)
| e1 = op(e0,e3) )
& ( e1 = op(e3,e4)
| e1 = op(e3,e3)
| e1 = op(e3,e2)
| e1 = op(e3,e1)
| e1 = op(e3,e0) )
& ( e0 = op(e4,e3)
| e0 = op(e3,e3)
| e0 = op(e2,e3)
| e0 = op(e1,e3)
| e0 = op(e0,e3) )
& ( e0 = op(e3,e4)
| e0 = op(e3,e3)
| e0 = op(e3,e2)
| e0 = op(e3,e1)
| e0 = op(e3,e0) )
& ( e4 = op(e4,e2)
| e4 = op(e3,e2)
| e4 = op(e2,e2)
| e4 = op(e1,e2)
| e4 = op(e0,e2) )
& ( e4 = op(e2,e4)
| e4 = op(e2,e3)
| e4 = op(e2,e2)
| e4 = op(e2,e1)
| e4 = op(e2,e0) )
& ( e3 = op(e4,e2)
| e3 = op(e3,e2)
| e3 = op(e2,e2)
| e3 = op(e1,e2)
| e3 = op(e0,e2) )
& ( e3 = op(e2,e4)
| e3 = op(e2,e3)
| e3 = op(e2,e2)
| e3 = op(e2,e1)
| e3 = op(e2,e0) )
& ( e2 = op(e4,e2)
| e2 = op(e3,e2)
| e2 = op(e2,e2)
| e2 = op(e1,e2)
| e2 = op(e0,e2) )
& ( e2 = op(e2,e4)
| e2 = op(e2,e3)
| e2 = op(e2,e2)
| e2 = op(e2,e1)
| e2 = op(e2,e0) )
& ( e1 = op(e4,e2)
| e1 = op(e3,e2)
| e1 = op(e2,e2)
| e1 = op(e1,e2)
| e1 = op(e0,e2) )
& ( e1 = op(e2,e4)
| e1 = op(e2,e3)
| e1 = op(e2,e2)
| e1 = op(e2,e1)
| e1 = op(e2,e0) )
& ( e0 = op(e4,e2)
| e0 = op(e3,e2)
| e0 = op(e2,e2)
| e0 = op(e1,e2)
| e0 = op(e0,e2) )
& ( e0 = op(e2,e4)
| e0 = op(e2,e3)
| e0 = op(e2,e2)
| e0 = op(e2,e1)
| e0 = op(e2,e0) )
& ( e4 = op(e4,e1)
| e4 = op(e3,e1)
| e4 = op(e2,e1)
| e4 = op(e1,e1)
| e4 = op(e0,e1) )
& ( e4 = op(e1,e4)
| e4 = op(e1,e3)
| e4 = op(e1,e2)
| e4 = op(e1,e1)
| e4 = op(e1,e0) )
& ( e3 = op(e4,e1)
| e3 = op(e3,e1)
| e3 = op(e2,e1)
| e3 = op(e1,e1)
| e3 = op(e0,e1) )
& ( e3 = op(e1,e4)
| e3 = op(e1,e3)
| e3 = op(e1,e2)
| e3 = op(e1,e1)
| e3 = op(e1,e0) )
& ( e2 = op(e4,e1)
| e2 = op(e3,e1)
| e2 = op(e2,e1)
| e2 = op(e1,e1)
| e2 = op(e0,e1) )
& ( e2 = op(e1,e4)
| e2 = op(e1,e3)
| e2 = op(e1,e2)
| e2 = op(e1,e1)
| e2 = op(e1,e0) )
& ( e1 = op(e4,e1)
| e1 = op(e3,e1)
| e1 = op(e2,e1)
| e1 = op(e1,e1)
| e1 = op(e0,e1) )
& ( e1 = op(e1,e4)
| e1 = op(e1,e3)
| e1 = op(e1,e2)
| e1 = op(e1,e1)
| e1 = op(e1,e0) )
& ( e0 = op(e4,e1)
| e0 = op(e3,e1)
| e0 = op(e2,e1)
| e0 = op(e1,e1)
| e0 = op(e0,e1) )
& ( e0 = op(e1,e4)
| e0 = op(e1,e3)
| e0 = op(e1,e2)
| e0 = op(e1,e1)
| e0 = op(e1,e0) )
& ( e4 = op(e4,e0)
| e4 = op(e3,e0)
| e4 = op(e2,e0)
| e4 = op(e1,e0)
| op(e0,e0) = e4 )
& ( e4 = op(e0,e4)
| e4 = op(e0,e3)
| e4 = op(e0,e2)
| e4 = op(e0,e1)
| op(e0,e0) = e4 )
& ( e3 = op(e4,e0)
| e3 = op(e3,e0)
| e3 = op(e2,e0)
| e3 = op(e1,e0)
| op(e0,e0) = e3 )
& ( e3 = op(e0,e4)
| e3 = op(e0,e3)
| e3 = op(e0,e2)
| e3 = op(e0,e1)
| op(e0,e0) = e3 )
& ( e2 = op(e4,e0)
| e2 = op(e3,e0)
| e2 = op(e2,e0)
| e2 = op(e1,e0)
| op(e0,e0) = e2 )
& ( e2 = op(e0,e4)
| e2 = op(e0,e3)
| e2 = op(e0,e2)
| e2 = op(e0,e1)
| op(e0,e0) = e2 )
& ( e1 = op(e4,e0)
| e1 = op(e3,e0)
| e1 = op(e2,e0)
| e1 = op(e1,e0)
| op(e0,e0) = e1 )
& ( e1 = op(e0,e4)
| e1 = op(e0,e3)
| e1 = op(e0,e2)
| e1 = op(e0,e1)
| op(e0,e0) = e1 )
& ( e0 = op(e4,e0)
| e0 = op(e3,e0)
| e0 = op(e2,e0)
| e0 = op(e1,e0)
| e0 = op(e0,e0) )
& ( e0 = op(e0,e4)
| e0 = op(e0,e3)
| e0 = op(e0,e2)
| e0 = op(e0,e1)
| e0 = op(e0,e0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax3) ).
fof(f1620,plain,
( spl34_256
| spl34_245
| spl34_223
| spl34_191
| spl34_149 ),
inference(avatar_split_clause,[],[f335,f1150,f1328,f1466,f1564,f1617]) ).
fof(f335,plain,
( e3 = op(e4,e0)
| e3 = op(e3,e0)
| e3 = op(e2,e0)
| e3 = op(e1,e0)
| op(e0,e0) = e3 ),
inference(cnf_transformation,[],[f3]) ).
fof(f1615,plain,
( spl34_255
| spl34_240
| spl34_215
| spl34_180
| spl34_135 ),
inference(avatar_split_clause,[],[f336,f1091,f1281,f1431,f1541,f1611]) ).
fof(f336,plain,
( e4 = op(e0,e4)
| e4 = op(e0,e3)
| e4 = op(e0,e2)
| e4 = op(e0,e1)
| op(e0,e0) = e4 ),
inference(cnf_transformation,[],[f3]) ).
fof(f1576,plain,
( spl34_246
| spl34_247
| spl34_229
| spl34_199
| spl34_159 ),
inference(avatar_split_clause,[],[f343,f1192,f1362,f1492,f1573,f1569]) ).
fof(f343,plain,
( e2 = op(e4,e1)
| e2 = op(e3,e1)
| e2 = op(e2,e1)
| e2 = op(e1,e1)
| e2 = op(e0,e1) ),
inference(cnf_transformation,[],[f3]) ).
fof(f1567,plain,
( spl34_245
| spl34_244
| spl34_221
| spl34_188
| spl34_145 ),
inference(avatar_split_clause,[],[f344,f1133,f1315,f1457,f1559,f1564]) ).
fof(f344,plain,
( e3 = op(e1,e4)
| e3 = op(e1,e3)
| e3 = op(e1,e2)
| e3 = op(e1,e1)
| e3 = op(e1,e0) ),
inference(cnf_transformation,[],[f3]) ).
fof(f1562,plain,
( spl34_243
| spl34_244
| spl34_224
| spl34_192
| spl34_150 ),
inference(avatar_split_clause,[],[f345,f1154,f1332,f1470,f1559,f1555]) ).
fof(f345,plain,
( e3 = op(e4,e1)
| e3 = op(e3,e1)
| e3 = op(e2,e1)
| e3 = op(e1,e1)
| e3 = op(e0,e1) ),
inference(cnf_transformation,[],[f3]) ).
fof(f1553,plain,
( spl34_242
| spl34_241
| spl34_216
| spl34_181
| spl34_136 ),
inference(avatar_split_clause,[],[f346,f1095,f1285,f1435,f1545,f1550]) ).
fof(f346,plain,
( e4 = op(e1,e4)
| e4 = op(e1,e3)
| e4 = op(e1,e2)
| e4 = op(e1,e1)
| e4 = op(e1,e0) ),
inference(cnf_transformation,[],[f3]) ).
fof(f1548,plain,
( spl34_240
| spl34_241
| spl34_219
| spl34_185
| spl34_141 ),
inference(avatar_split_clause,[],[f347,f1116,f1302,f1448,f1545,f1541]) ).
fof(f347,plain,
( e4 = op(e4,e1)
| e4 = op(e3,e1)
| e4 = op(e2,e1)
| e4 = op(e1,e1)
| e4 = op(e0,e1) ),
inference(cnf_transformation,[],[f3]) ).
fof(f1539,plain,
( spl34_238
| spl34_239
| spl34_237
| spl34_210
| spl34_173 ),
inference(avatar_split_clause,[],[f348,f1251,f1409,f1527,f1536,f1532]) ).
fof(f348,plain,
( e0 = op(e2,e4)
| e0 = op(e2,e3)
| e0 = op(e2,e2)
| e0 = op(e2,e1)
| e0 = op(e2,e0) ),
inference(cnf_transformation,[],[f3]) ).
fof(f1517,plain,
( spl34_233
| spl34_234
| spl34_232
| spl34_203
| spl34_164 ),
inference(avatar_split_clause,[],[f350,f1213,f1379,f1505,f1514,f1510]) ).
fof(f350,plain,
( e1 = op(e2,e4)
| e1 = op(e2,e3)
| e1 = op(e2,e2)
| e1 = op(e2,e1)
| e1 = op(e2,e0) ),
inference(cnf_transformation,[],[f3]) ).
fof(f1464,plain,
( spl34_220
| spl34_221
| spl34_222
| spl34_193
| spl34_151 ),
inference(avatar_split_clause,[],[f355,f1158,f1336,f1461,f1457,f1453]) ).
fof(f355,plain,
( e3 = op(e4,e2)
| e3 = op(e3,e2)
| e3 = op(e2,e2)
| e3 = op(e1,e2)
| e3 = op(e0,e2) ),
inference(cnf_transformation,[],[f3]) ).
fof(f1416,plain,
( spl34_208
| spl34_209
| spl34_210
| spl34_211
| spl34_179 ),
inference(avatar_split_clause,[],[f359,f1276,f1413,f1409,f1405,f1401]) ).
fof(f359,plain,
( e0 = op(e4,e3)
| e0 = op(e3,e3)
| e0 = op(e2,e3)
| e0 = op(e1,e3)
| e0 = op(e0,e3) ),
inference(cnf_transformation,[],[f3]) ).
fof(f1386,plain,
( spl34_201
| spl34_202
| spl34_203
| spl34_204
| spl34_170 ),
inference(avatar_split_clause,[],[f361,f1238,f1383,f1379,f1375,f1371]) ).
fof(f361,plain,
( e1 = op(e4,e3)
| e1 = op(e3,e3)
| e1 = op(e2,e3)
| e1 = op(e1,e3)
| e1 = op(e0,e3) ),
inference(cnf_transformation,[],[f3]) ).
fof(f1369,plain,
( spl34_198
| spl34_199
| spl34_200
| spl34_197
| spl34_156 ),
inference(avatar_split_clause,[],[f362,f1179,f1353,f1366,f1362,f1358]) ).
fof(f362,plain,
( e2 = op(e3,e4)
| e2 = op(e3,e3)
| e2 = op(e3,e2)
| e2 = op(e3,e1)
| e2 = op(e3,e0) ),
inference(cnf_transformation,[],[f3]) ).
fof(f1356,plain,
( spl34_194
| spl34_195
| spl34_196
| spl34_197
| spl34_161 ),
inference(avatar_split_clause,[],[f363,f1200,f1353,f1349,f1345,f1341]) ).
fof(f363,plain,
( e2 = op(e4,e3)
| e2 = op(e3,e3)
| e2 = op(e2,e3)
| e2 = op(e1,e3)
| e2 = op(e0,e3) ),
inference(cnf_transformation,[],[f3]) ).
fof(f1309,plain,
( spl34_184
| spl34_185
| spl34_186
| spl34_183
| spl34_138 ),
inference(avatar_split_clause,[],[f366,f1103,f1293,f1306,f1302,f1298]) ).
fof(f366,plain,
( e4 = op(e3,e4)
| e4 = op(e3,e3)
| e4 = op(e3,e2)
| e4 = op(e3,e1)
| e4 = op(e3,e0) ),
inference(cnf_transformation,[],[f3]) ).
fof(f1296,plain,
( spl34_180
| spl34_181
| spl34_182
| spl34_183
| spl34_143 ),
inference(avatar_split_clause,[],[f367,f1124,f1293,f1289,f1285,f1281]) ).
fof(f367,plain,
( e4 = op(e4,e3)
| e4 = op(e3,e3)
| e4 = op(e2,e3)
| e4 = op(e1,e3)
| e4 = op(e0,e3) ),
inference(cnf_transformation,[],[f3]) ).
fof(f1203,plain,
( spl34_158
| spl34_159
| spl34_160
| spl34_161
| spl34_157 ),
inference(avatar_split_clause,[],[f372,f1183,f1200,f1196,f1192,f1188]) ).
fof(f372,plain,
( e2 = op(e4,e4)
| e2 = op(e4,e3)
| e2 = op(e4,e2)
| e2 = op(e4,e1)
| e2 = op(e4,e0) ),
inference(cnf_transformation,[],[f3]) ).
fof(f1186,plain,
( spl34_153
| spl34_154
| spl34_155
| spl34_156
| spl34_157 ),
inference(avatar_split_clause,[],[f373,f1183,f1179,f1175,f1171,f1167]) ).
fof(f373,plain,
( e2 = op(e4,e4)
| e2 = op(e3,e4)
| e2 = op(e2,e4)
| e2 = op(e1,e4)
| e2 = op(e0,e4) ),
inference(cnf_transformation,[],[f3]) ).
fof(f941,plain,
( spl34_77
| spl34_74
| spl34_71
| spl34_68
| spl34_65
| spl34_61
| spl34_59
| spl34_56
| spl34_53
| spl34_50
| spl34_46
| spl34_42
| spl34_40
| spl34_37
| spl34_34
| spl34_30
| spl34_26
| spl34_22
| spl34_20
| spl34_17
| spl34_13
| spl34_9
| spl34_5
| spl34_1 ),
inference(avatar_split_clause,[],[f414,f420,f439,f458,f477,f496,f511,f522,f541,f560,f579,f594,f609,f620,f639,f658,f673,f688,f703,f714,f733,f748,f763,f778,f793]) ).
fof(f793,plain,
( spl34_77
<=> sP10 ),
introduced(avatar_definition,[new_symbols(naming,[spl34_77])]) ).
fof(f778,plain,
( spl34_74
<=> sP11 ),
introduced(avatar_definition,[new_symbols(naming,[spl34_74])]) ).
fof(f763,plain,
( spl34_71
<=> sP12 ),
introduced(avatar_definition,[new_symbols(naming,[spl34_71])]) ).
fof(f748,plain,
( spl34_68
<=> sP13 ),
introduced(avatar_definition,[new_symbols(naming,[spl34_68])]) ).
fof(f733,plain,
( spl34_65
<=> sP14 ),
introduced(avatar_definition,[new_symbols(naming,[spl34_65])]) ).
fof(f714,plain,
( spl34_61
<=> sP15 ),
introduced(avatar_definition,[new_symbols(naming,[spl34_61])]) ).
fof(f703,plain,
( spl34_59
<=> sP16 ),
introduced(avatar_definition,[new_symbols(naming,[spl34_59])]) ).
fof(f688,plain,
( spl34_56
<=> sP17 ),
introduced(avatar_definition,[new_symbols(naming,[spl34_56])]) ).
fof(f673,plain,
( spl34_53
<=> sP18 ),
introduced(avatar_definition,[new_symbols(naming,[spl34_53])]) ).
fof(f658,plain,
( spl34_50
<=> sP19 ),
introduced(avatar_definition,[new_symbols(naming,[spl34_50])]) ).
fof(f639,plain,
( spl34_46
<=> sP20 ),
introduced(avatar_definition,[new_symbols(naming,[spl34_46])]) ).
fof(f620,plain,
( spl34_42
<=> sP21 ),
introduced(avatar_definition,[new_symbols(naming,[spl34_42])]) ).
fof(f609,plain,
( spl34_40
<=> sP22 ),
introduced(avatar_definition,[new_symbols(naming,[spl34_40])]) ).
fof(f594,plain,
( spl34_37
<=> sP23 ),
introduced(avatar_definition,[new_symbols(naming,[spl34_37])]) ).
fof(f579,plain,
( spl34_34
<=> sP24 ),
introduced(avatar_definition,[new_symbols(naming,[spl34_34])]) ).
fof(f560,plain,
( spl34_30
<=> sP25 ),
introduced(avatar_definition,[new_symbols(naming,[spl34_30])]) ).
fof(f541,plain,
( spl34_26
<=> sP26 ),
introduced(avatar_definition,[new_symbols(naming,[spl34_26])]) ).
fof(f522,plain,
( spl34_22
<=> sP27 ),
introduced(avatar_definition,[new_symbols(naming,[spl34_22])]) ).
fof(f511,plain,
( spl34_20
<=> sP28 ),
introduced(avatar_definition,[new_symbols(naming,[spl34_20])]) ).
fof(f496,plain,
( spl34_17
<=> sP29 ),
introduced(avatar_definition,[new_symbols(naming,[spl34_17])]) ).
fof(f477,plain,
( spl34_13
<=> sP30 ),
introduced(avatar_definition,[new_symbols(naming,[spl34_13])]) ).
fof(f458,plain,
( spl34_9
<=> sP31 ),
introduced(avatar_definition,[new_symbols(naming,[spl34_9])]) ).
fof(f439,plain,
( spl34_5
<=> sP32 ),
introduced(avatar_definition,[new_symbols(naming,[spl34_5])]) ).
fof(f420,plain,
( spl34_1
<=> sP33 ),
introduced(avatar_definition,[new_symbols(naming,[spl34_1])]) ).
fof(f414,plain,
( sP33
| sP32
| sP31
| sP30
| sP29
| sP28
| sP27
| sP26
| sP25
| sP24
| sP23
| sP22
| sP21
| sP20
| sP19
| sP18
| sP17
| sP16
| sP15
| sP14
| sP13
| sP12
| sP11
| sP10 ),
inference(trivial_inequality_removal,[],[f211]) ).
fof(f211,plain,
( op(e4,e4) != op(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 ),
inference(cnf_transformation,[],[f44]) ).
fof(f44,plain,
( ( ( e4 != op(op(e4,e4),e4)
& e4 = op(op(e4,e4),e4)
& op(e4,e4) != op(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 )
& ( ( e4 = op(e4,op(e4,e4))
& e4 != op(e4,op(e4,e4)) )
| ( e3 = op(e4,op(e3,e4))
& e4 != op(e3,op(e3,e4)) )
| ( e2 = op(e4,op(e2,e4))
& e4 != op(e2,op(e2,e4)) )
| sP9
| sP8 )
& ( ( e4 = op(e3,op(e4,e3))
& e3 != op(e4,op(e4,e3)) )
| ( e3 = op(e3,op(e3,e3))
& e3 != op(e3,op(e3,e3)) )
| ( e2 = op(e3,op(e2,e3))
& e3 != op(e2,op(e2,e3)) )
| sP7
| sP6 )
& ( ( e4 = op(e2,op(e4,e2))
& e2 != op(e4,op(e4,e2)) )
| ( e3 = op(e2,op(e3,e2))
& e2 != op(e3,op(e3,e2)) )
| ( e2 = op(e2,op(e2,e2))
& e2 != op(e2,op(e2,e2)) )
| sP5
| sP4 )
& ( ( e4 = op(e1,op(e4,e1))
& e1 != op(e4,op(e4,e1)) )
| ( e3 = op(e1,op(e3,e1))
& e1 != op(e3,op(e3,e1)) )
| ( e2 = op(e1,op(e2,e1))
& e1 != op(e2,op(e2,e1)) )
| sP3
| sP2 )
& ( ( e4 = op(e0,op(e4,e0))
& e0 != op(e4,op(e4,e0)) )
| ( e3 = op(e0,op(e3,e0))
& e0 != op(e3,op(e3,e0)) )
| ( e2 = op(e0,op(e2,e0))
& e0 != op(e2,op(e2,e0)) )
| 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,
( ( e0 = op(e0,op(e0,e0))
& e0 != op(e0,op(e0,e0)) )
| ~ sP0 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
fof(f11,plain,
( ( e1 = op(e0,op(e1,e0))
& e0 != op(e1,op(e1,e0)) )
| ~ sP1 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])]) ).
fof(f12,plain,
( ( e0 = op(e1,op(e0,e1))
& e1 != op(e0,op(e0,e1)) )
| ~ sP2 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP2])]) ).
fof(f13,plain,
( ( e1 = op(e1,op(e1,e1))
& e1 != op(e1,op(e1,e1)) )
| ~ sP3 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP3])]) ).
fof(f14,plain,
( ( e0 = op(e2,op(e0,e2))
& e2 != op(e0,op(e0,e2)) )
| ~ sP4 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP4])]) ).
fof(f15,plain,
( ( e1 = op(e2,op(e1,e2))
& e2 != op(e1,op(e1,e2)) )
| ~ sP5 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP5])]) ).
fof(f16,plain,
( ( e0 = op(e3,op(e0,e3))
& e3 != op(e0,op(e0,e3)) )
| ~ sP6 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP6])]) ).
fof(f17,plain,
( ( e1 = op(e3,op(e1,e3))
& e3 != op(e1,op(e1,e3)) )
| ~ sP7 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP7])]) ).
fof(f18,plain,
( ( e0 = op(e4,op(e0,e4))
& e4 != op(e0,op(e0,e4)) )
| ~ sP8 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP8])]) ).
fof(f19,plain,
( ( e1 = op(e4,op(e1,e4))
& e4 != op(e1,op(e1,e4)) )
| ~ sP9 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP9])]) ).
fof(f20,plain,
( ( e0 != op(op(e0,e0),e0)
& e0 = op(op(e0,e0),e0)
& op(e0,e0) != op(e0,e0) )
| ~ sP10 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP10])]) ).
fof(f21,plain,
( ( e1 != op(op(e0,e1),e0)
& e0 = op(op(e0,e1),e1)
& op(e0,e1) != op(e1,e0) )
| ~ sP11 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP11])]) ).
fof(f22,plain,
( ( e2 != op(op(e0,e2),e0)
& e0 = op(op(e0,e2),e2)
& op(e0,e2) != op(e2,e0) )
| ~ sP12 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP12])]) ).
fof(f23,plain,
( ( e3 != op(op(e0,e3),e0)
& e0 = op(op(e0,e3),e3)
& op(e0,e3) != op(e3,e0) )
| ~ sP13 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP13])]) ).
fof(f24,plain,
( ( e4 != op(op(e0,e4),e0)
& e0 = op(op(e0,e4),e4)
& op(e0,e4) != op(e4,e0) )
| ~ sP14 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP14])]) ).
fof(f25,plain,
( ( e0 != op(op(e1,e0),e1)
& e1 = op(op(e1,e0),e0)
& op(e0,e1) != op(e1,e0) )
| ~ sP15 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP15])]) ).
fof(f26,plain,
( ( e1 != op(op(e1,e1),e1)
& e1 = op(op(e1,e1),e1)
& op(e1,e1) != op(e1,e1) )
| ~ sP16 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP16])]) ).
fof(f27,plain,
( ( e2 != op(op(e1,e2),e1)
& e1 = op(op(e1,e2),e2)
& op(e1,e2) != op(e2,e1) )
| ~ sP17 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP17])]) ).
fof(f28,plain,
( ( e3 != op(op(e1,e3),e1)
& e1 = op(op(e1,e3),e3)
& op(e1,e3) != op(e3,e1) )
| ~ sP18 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP18])]) ).
fof(f29,plain,
( ( e4 != op(op(e1,e4),e1)
& e1 = op(op(e1,e4),e4)
& op(e1,e4) != op(e4,e1) )
| ~ sP19 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP19])]) ).
fof(f30,plain,
( ( e0 != op(op(e2,e0),e2)
& e2 = op(op(e2,e0),e0)
& op(e0,e2) != op(e2,e0) )
| ~ sP20 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP20])]) ).
fof(f31,plain,
( ( e1 != op(op(e2,e1),e2)
& e2 = op(op(e2,e1),e1)
& op(e1,e2) != op(e2,e1) )
| ~ sP21 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP21])]) ).
fof(f32,plain,
( ( e2 != op(op(e2,e2),e2)
& e2 = op(op(e2,e2),e2)
& op(e2,e2) != op(e2,e2) )
| ~ sP22 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP22])]) ).
fof(f33,plain,
( ( e3 != op(op(e2,e3),e2)
& e2 = op(op(e2,e3),e3)
& op(e2,e3) != op(e3,e2) )
| ~ sP23 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP23])]) ).
fof(f34,plain,
( ( e4 != op(op(e2,e4),e2)
& e2 = op(op(e2,e4),e4)
& op(e2,e4) != op(e4,e2) )
| ~ sP24 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP24])]) ).
fof(f35,plain,
( ( e0 != op(op(e3,e0),e3)
& e3 = op(op(e3,e0),e0)
& op(e0,e3) != op(e3,e0) )
| ~ sP25 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP25])]) ).
fof(f36,plain,
( ( e1 != op(op(e3,e1),e3)
& e3 = op(op(e3,e1),e1)
& op(e1,e3) != op(e3,e1) )
| ~ sP26 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP26])]) ).
fof(f37,plain,
( ( e2 != op(op(e3,e2),e3)
& e3 = op(op(e3,e2),e2)
& op(e2,e3) != op(e3,e2) )
| ~ sP27 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP27])]) ).
fof(f38,plain,
( ( e3 != op(op(e3,e3),e3)
& e3 = op(op(e3,e3),e3)
& op(e3,e3) != op(e3,e3) )
| ~ sP28 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP28])]) ).
fof(f39,plain,
( ( e4 != op(op(e3,e4),e3)
& e3 = op(op(e3,e4),e4)
& op(e3,e4) != op(e4,e3) )
| ~ sP29 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP29])]) ).
fof(f40,plain,
( ( e0 != op(op(e4,e0),e4)
& e4 = op(op(e4,e0),e0)
& op(e0,e4) != op(e4,e0) )
| ~ sP30 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP30])]) ).
fof(f41,plain,
( ( e1 != op(op(e4,e1),e4)
& e4 = op(op(e4,e1),e1)
& op(e1,e4) != op(e4,e1) )
| ~ sP31 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP31])]) ).
fof(f42,plain,
( ( e2 != op(op(e4,e2),e4)
& e4 = op(op(e4,e2),e2)
& op(e2,e4) != op(e4,e2) )
| ~ sP32 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP32])]) ).
fof(f43,plain,
( ( e3 != op(op(e4,e3),e4)
& e4 = op(op(e4,e3),e3)
& op(e3,e4) != op(e4,e3) )
| ~ sP33 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP33])]) ).
fof(f9,plain,
( ( ( e4 != op(op(e4,e4),e4)
& e4 = op(op(e4,e4),e4)
& op(e4,e4) != op(e4,e4) )
| ( e3 != op(op(e4,e3),e4)
& e4 = op(op(e4,e3),e3)
& op(e3,e4) != op(e4,e3) )
| ( e2 != op(op(e4,e2),e4)
& e4 = op(op(e4,e2),e2)
& op(e2,e4) != op(e4,e2) )
| ( e1 != op(op(e4,e1),e4)
& e4 = op(op(e4,e1),e1)
& op(e1,e4) != op(e4,e1) )
| ( e0 != op(op(e4,e0),e4)
& e4 = op(op(e4,e0),e0)
& op(e0,e4) != op(e4,e0) )
| ( e4 != op(op(e3,e4),e3)
& e3 = op(op(e3,e4),e4)
& op(e3,e4) != op(e4,e3) )
| ( e3 != op(op(e3,e3),e3)
& e3 = op(op(e3,e3),e3)
& op(e3,e3) != op(e3,e3) )
| ( e2 != op(op(e3,e2),e3)
& e3 = op(op(e3,e2),e2)
& op(e2,e3) != op(e3,e2) )
| ( e1 != op(op(e3,e1),e3)
& e3 = op(op(e3,e1),e1)
& op(e1,e3) != op(e3,e1) )
| ( e0 != op(op(e3,e0),e3)
& e3 = op(op(e3,e0),e0)
& op(e0,e3) != op(e3,e0) )
| ( e4 != op(op(e2,e4),e2)
& e2 = op(op(e2,e4),e4)
& op(e2,e4) != op(e4,e2) )
| ( e3 != op(op(e2,e3),e2)
& e2 = op(op(e2,e3),e3)
& op(e2,e3) != op(e3,e2) )
| ( e2 != op(op(e2,e2),e2)
& e2 = op(op(e2,e2),e2)
& op(e2,e2) != op(e2,e2) )
| ( e1 != op(op(e2,e1),e2)
& e2 = op(op(e2,e1),e1)
& op(e1,e2) != op(e2,e1) )
| ( e0 != op(op(e2,e0),e2)
& e2 = op(op(e2,e0),e0)
& op(e0,e2) != op(e2,e0) )
| ( e4 != op(op(e1,e4),e1)
& e1 = op(op(e1,e4),e4)
& op(e1,e4) != op(e4,e1) )
| ( e3 != op(op(e1,e3),e1)
& e1 = op(op(e1,e3),e3)
& op(e1,e3) != op(e3,e1) )
| ( e2 != op(op(e1,e2),e1)
& e1 = op(op(e1,e2),e2)
& op(e1,e2) != op(e2,e1) )
| ( e1 != op(op(e1,e1),e1)
& e1 = op(op(e1,e1),e1)
& op(e1,e1) != op(e1,e1) )
| ( e0 != op(op(e1,e0),e1)
& e1 = op(op(e1,e0),e0)
& op(e0,e1) != op(e1,e0) )
| ( e4 != op(op(e0,e4),e0)
& e0 = op(op(e0,e4),e4)
& op(e0,e4) != op(e4,e0) )
| ( e3 != op(op(e0,e3),e0)
& e0 = op(op(e0,e3),e3)
& op(e0,e3) != op(e3,e0) )
| ( e2 != op(op(e0,e2),e0)
& e0 = op(op(e0,e2),e2)
& op(e0,e2) != op(e2,e0) )
| ( e1 != op(op(e0,e1),e0)
& e0 = op(op(e0,e1),e1)
& op(e0,e1) != op(e1,e0) )
| ( e0 != op(op(e0,e0),e0)
& e0 = op(op(e0,e0),e0)
& op(e0,e0) != op(e0,e0) ) )
& ( ( e4 = op(e4,op(e4,e4))
& e4 != op(e4,op(e4,e4)) )
| ( e3 = op(e4,op(e3,e4))
& e4 != op(e3,op(e3,e4)) )
| ( e2 = op(e4,op(e2,e4))
& e4 != op(e2,op(e2,e4)) )
| ( e1 = op(e4,op(e1,e4))
& e4 != op(e1,op(e1,e4)) )
| ( e0 = op(e4,op(e0,e4))
& e4 != op(e0,op(e0,e4)) ) )
& ( ( e4 = op(e3,op(e4,e3))
& e3 != op(e4,op(e4,e3)) )
| ( e3 = op(e3,op(e3,e3))
& e3 != op(e3,op(e3,e3)) )
| ( e2 = op(e3,op(e2,e3))
& e3 != op(e2,op(e2,e3)) )
| ( e1 = op(e3,op(e1,e3))
& e3 != op(e1,op(e1,e3)) )
| ( e0 = op(e3,op(e0,e3))
& e3 != op(e0,op(e0,e3)) ) )
& ( ( e4 = op(e2,op(e4,e2))
& e2 != op(e4,op(e4,e2)) )
| ( e3 = op(e2,op(e3,e2))
& e2 != op(e3,op(e3,e2)) )
| ( e2 = op(e2,op(e2,e2))
& e2 != op(e2,op(e2,e2)) )
| ( e1 = op(e2,op(e1,e2))
& e2 != op(e1,op(e1,e2)) )
| ( e0 = op(e2,op(e0,e2))
& e2 != op(e0,op(e0,e2)) ) )
& ( ( e4 = op(e1,op(e4,e1))
& e1 != op(e4,op(e4,e1)) )
| ( e3 = op(e1,op(e3,e1))
& e1 != op(e3,op(e3,e1)) )
| ( e2 = op(e1,op(e2,e1))
& e1 != op(e2,op(e2,e1)) )
| ( e1 = op(e1,op(e1,e1))
& e1 != op(e1,op(e1,e1)) )
| ( e0 = op(e1,op(e0,e1))
& e1 != op(e0,op(e0,e1)) ) )
& ( ( e4 = op(e0,op(e4,e0))
& e0 != op(e4,op(e4,e0)) )
| ( e3 = op(e0,op(e3,e0))
& e0 != op(e3,op(e3,e0)) )
| ( e2 = op(e0,op(e2,e0))
& e0 != op(e2,op(e2,e0)) )
| ( e1 = op(e0,op(e1,e0))
& e0 != op(e1,op(e1,e0)) )
| ( e0 = op(e0,op(e0,e0))
& e0 != op(e0,op(e0,e0)) ) ) ),
inference(flattening,[],[f8]) ).
fof(f8,negated_conjecture,
~ ~ ( ( ( e4 != op(op(e4,e4),e4)
& e4 = op(op(e4,e4),e4)
& op(e4,e4) != op(e4,e4) )
| ( e3 != op(op(e4,e3),e4)
& e4 = op(op(e4,e3),e3)
& op(e3,e4) != op(e4,e3) )
| ( e2 != op(op(e4,e2),e4)
& e4 = op(op(e4,e2),e2)
& op(e2,e4) != op(e4,e2) )
| ( e1 != op(op(e4,e1),e4)
& e4 = op(op(e4,e1),e1)
& op(e1,e4) != op(e4,e1) )
| ( e0 != op(op(e4,e0),e4)
& e4 = op(op(e4,e0),e0)
& op(e0,e4) != op(e4,e0) )
| ( e4 != op(op(e3,e4),e3)
& e3 = op(op(e3,e4),e4)
& op(e3,e4) != op(e4,e3) )
| ( e3 != op(op(e3,e3),e3)
& e3 = op(op(e3,e3),e3)
& op(e3,e3) != op(e3,e3) )
| ( e2 != op(op(e3,e2),e3)
& e3 = op(op(e3,e2),e2)
& op(e2,e3) != op(e3,e2) )
| ( e1 != op(op(e3,e1),e3)
& e3 = op(op(e3,e1),e1)
& op(e1,e3) != op(e3,e1) )
| ( e0 != op(op(e3,e0),e3)
& e3 = op(op(e3,e0),e0)
& op(e0,e3) != op(e3,e0) )
| ( e4 != op(op(e2,e4),e2)
& e2 = op(op(e2,e4),e4)
& op(e2,e4) != op(e4,e2) )
| ( e3 != op(op(e2,e3),e2)
& e2 = op(op(e2,e3),e3)
& op(e2,e3) != op(e3,e2) )
| ( e2 != op(op(e2,e2),e2)
& e2 = op(op(e2,e2),e2)
& op(e2,e2) != op(e2,e2) )
| ( e1 != op(op(e2,e1),e2)
& e2 = op(op(e2,e1),e1)
& op(e1,e2) != op(e2,e1) )
| ( e0 != op(op(e2,e0),e2)
& e2 = op(op(e2,e0),e0)
& op(e0,e2) != op(e2,e0) )
| ( e4 != op(op(e1,e4),e1)
& e1 = op(op(e1,e4),e4)
& op(e1,e4) != op(e4,e1) )
| ( e3 != op(op(e1,e3),e1)
& e1 = op(op(e1,e3),e3)
& op(e1,e3) != op(e3,e1) )
| ( e2 != op(op(e1,e2),e1)
& e1 = op(op(e1,e2),e2)
& op(e1,e2) != op(e2,e1) )
| ( e1 != op(op(e1,e1),e1)
& e1 = op(op(e1,e1),e1)
& op(e1,e1) != op(e1,e1) )
| ( e0 != op(op(e1,e0),e1)
& e1 = op(op(e1,e0),e0)
& op(e0,e1) != op(e1,e0) )
| ( e4 != op(op(e0,e4),e0)
& e0 = op(op(e0,e4),e4)
& op(e0,e4) != op(e4,e0) )
| ( e3 != op(op(e0,e3),e0)
& e0 = op(op(e0,e3),e3)
& op(e0,e3) != op(e3,e0) )
| ( e2 != op(op(e0,e2),e0)
& e0 = op(op(e0,e2),e2)
& op(e0,e2) != op(e2,e0) )
| ( e1 != op(op(e0,e1),e0)
& e0 = op(op(e0,e1),e1)
& op(e0,e1) != op(e1,e0) )
| ( e0 != op(op(e0,e0),e0)
& e0 = op(op(e0,e0),e0)
& op(e0,e0) != op(e0,e0) ) )
& ( ( e4 = op(e4,op(e4,e4))
& e4 != op(e4,op(e4,e4)) )
| ( e3 = op(e4,op(e3,e4))
& e4 != op(e3,op(e3,e4)) )
| ( e2 = op(e4,op(e2,e4))
& e4 != op(e2,op(e2,e4)) )
| ( e1 = op(e4,op(e1,e4))
& e4 != op(e1,op(e1,e4)) )
| ( e0 = op(e4,op(e0,e4))
& e4 != op(e0,op(e0,e4)) ) )
& ( ( e4 = op(e3,op(e4,e3))
& e3 != op(e4,op(e4,e3)) )
| ( e3 = op(e3,op(e3,e3))
& e3 != op(e3,op(e3,e3)) )
| ( e2 = op(e3,op(e2,e3))
& e3 != op(e2,op(e2,e3)) )
| ( e1 = op(e3,op(e1,e3))
& e3 != op(e1,op(e1,e3)) )
| ( e0 = op(e3,op(e0,e3))
& e3 != op(e0,op(e0,e3)) ) )
& ( ( e4 = op(e2,op(e4,e2))
& e2 != op(e4,op(e4,e2)) )
| ( e3 = op(e2,op(e3,e2))
& e2 != op(e3,op(e3,e2)) )
| ( e2 = op(e2,op(e2,e2))
& e2 != op(e2,op(e2,e2)) )
| ( e1 = op(e2,op(e1,e2))
& e2 != op(e1,op(e1,e2)) )
| ( e0 = op(e2,op(e0,e2))
& e2 != op(e0,op(e0,e2)) ) )
& ( ( e4 = op(e1,op(e4,e1))
& e1 != op(e4,op(e4,e1)) )
| ( e3 = op(e1,op(e3,e1))
& e1 != op(e3,op(e3,e1)) )
| ( e2 = op(e1,op(e2,e1))
& e1 != op(e2,op(e2,e1)) )
| ( e1 = op(e1,op(e1,e1))
& e1 != op(e1,op(e1,e1)) )
| ( e0 = op(e1,op(e0,e1))
& e1 != op(e0,op(e0,e1)) ) )
& ( ( e4 = op(e0,op(e4,e0))
& e0 != op(e4,op(e4,e0)) )
| ( e3 = op(e0,op(e3,e0))
& e0 != op(e3,op(e3,e0)) )
| ( e2 = op(e0,op(e2,e0))
& e0 != op(e2,op(e2,e0)) )
| ( e1 = op(e0,op(e1,e0))
& e0 != op(e1,op(e1,e0)) )
| ( e0 = op(e0,op(e0,e0))
& e0 != op(e0,op(e0,e0)) ) ) ),
inference(negated_conjecture,[],[f7]) ).
fof(f7,conjecture,
~ ( ( ( e4 != op(op(e4,e4),e4)
& e4 = op(op(e4,e4),e4)
& op(e4,e4) != op(e4,e4) )
| ( e3 != op(op(e4,e3),e4)
& e4 = op(op(e4,e3),e3)
& op(e3,e4) != op(e4,e3) )
| ( e2 != op(op(e4,e2),e4)
& e4 = op(op(e4,e2),e2)
& op(e2,e4) != op(e4,e2) )
| ( e1 != op(op(e4,e1),e4)
& e4 = op(op(e4,e1),e1)
& op(e1,e4) != op(e4,e1) )
| ( e0 != op(op(e4,e0),e4)
& e4 = op(op(e4,e0),e0)
& op(e0,e4) != op(e4,e0) )
| ( e4 != op(op(e3,e4),e3)
& e3 = op(op(e3,e4),e4)
& op(e3,e4) != op(e4,e3) )
| ( e3 != op(op(e3,e3),e3)
& e3 = op(op(e3,e3),e3)
& op(e3,e3) != op(e3,e3) )
| ( e2 != op(op(e3,e2),e3)
& e3 = op(op(e3,e2),e2)
& op(e2,e3) != op(e3,e2) )
| ( e1 != op(op(e3,e1),e3)
& e3 = op(op(e3,e1),e1)
& op(e1,e3) != op(e3,e1) )
| ( e0 != op(op(e3,e0),e3)
& e3 = op(op(e3,e0),e0)
& op(e0,e3) != op(e3,e0) )
| ( e4 != op(op(e2,e4),e2)
& e2 = op(op(e2,e4),e4)
& op(e2,e4) != op(e4,e2) )
| ( e3 != op(op(e2,e3),e2)
& e2 = op(op(e2,e3),e3)
& op(e2,e3) != op(e3,e2) )
| ( e2 != op(op(e2,e2),e2)
& e2 = op(op(e2,e2),e2)
& op(e2,e2) != op(e2,e2) )
| ( e1 != op(op(e2,e1),e2)
& e2 = op(op(e2,e1),e1)
& op(e1,e2) != op(e2,e1) )
| ( e0 != op(op(e2,e0),e2)
& e2 = op(op(e2,e0),e0)
& op(e0,e2) != op(e2,e0) )
| ( e4 != op(op(e1,e4),e1)
& e1 = op(op(e1,e4),e4)
& op(e1,e4) != op(e4,e1) )
| ( e3 != op(op(e1,e3),e1)
& e1 = op(op(e1,e3),e3)
& op(e1,e3) != op(e3,e1) )
| ( e2 != op(op(e1,e2),e1)
& e1 = op(op(e1,e2),e2)
& op(e1,e2) != op(e2,e1) )
| ( e1 != op(op(e1,e1),e1)
& e1 = op(op(e1,e1),e1)
& op(e1,e1) != op(e1,e1) )
| ( e0 != op(op(e1,e0),e1)
& e1 = op(op(e1,e0),e0)
& op(e0,e1) != op(e1,e0) )
| ( e4 != op(op(e0,e4),e0)
& e0 = op(op(e0,e4),e4)
& op(e0,e4) != op(e4,e0) )
| ( e3 != op(op(e0,e3),e0)
& e0 = op(op(e0,e3),e3)
& op(e0,e3) != op(e3,e0) )
| ( e2 != op(op(e0,e2),e0)
& e0 = op(op(e0,e2),e2)
& op(e0,e2) != op(e2,e0) )
| ( e1 != op(op(e0,e1),e0)
& e0 = op(op(e0,e1),e1)
& op(e0,e1) != op(e1,e0) )
| ( e0 != op(op(e0,e0),e0)
& e0 = op(op(e0,e0),e0)
& op(e0,e0) != op(e0,e0) ) )
& ( ( e4 = op(e4,op(e4,e4))
& e4 != op(e4,op(e4,e4)) )
| ( e3 = op(e4,op(e3,e4))
& e4 != op(e3,op(e3,e4)) )
| ( e2 = op(e4,op(e2,e4))
& e4 != op(e2,op(e2,e4)) )
| ( e1 = op(e4,op(e1,e4))
& e4 != op(e1,op(e1,e4)) )
| ( e0 = op(e4,op(e0,e4))
& e4 != op(e0,op(e0,e4)) ) )
& ( ( e4 = op(e3,op(e4,e3))
& e3 != op(e4,op(e4,e3)) )
| ( e3 = op(e3,op(e3,e3))
& e3 != op(e3,op(e3,e3)) )
| ( e2 = op(e3,op(e2,e3))
& e3 != op(e2,op(e2,e3)) )
| ( e1 = op(e3,op(e1,e3))
& e3 != op(e1,op(e1,e3)) )
| ( e0 = op(e3,op(e0,e3))
& e3 != op(e0,op(e0,e3)) ) )
& ( ( e4 = op(e2,op(e4,e2))
& e2 != op(e4,op(e4,e2)) )
| ( e3 = op(e2,op(e3,e2))
& e2 != op(e3,op(e3,e2)) )
| ( e2 = op(e2,op(e2,e2))
& e2 != op(e2,op(e2,e2)) )
| ( e1 = op(e2,op(e1,e2))
& e2 != op(e1,op(e1,e2)) )
| ( e0 = op(e2,op(e0,e2))
& e2 != op(e0,op(e0,e2)) ) )
& ( ( e4 = op(e1,op(e4,e1))
& e1 != op(e4,op(e4,e1)) )
| ( e3 = op(e1,op(e3,e1))
& e1 != op(e3,op(e3,e1)) )
| ( e2 = op(e1,op(e2,e1))
& e1 != op(e2,op(e2,e1)) )
| ( e1 = op(e1,op(e1,e1))
& e1 != op(e1,op(e1,e1)) )
| ( e0 = op(e1,op(e0,e1))
& e1 != op(e0,op(e0,e1)) ) )
& ( ( e4 = op(e0,op(e4,e0))
& e0 != op(e4,op(e4,e0)) )
| ( e3 = op(e0,op(e3,e0))
& e0 != op(e3,op(e3,e0)) )
| ( e2 = op(e0,op(e2,e0))
& e0 != op(e2,op(e2,e0)) )
| ( e1 = op(e0,op(e1,e0))
& e0 != op(e1,op(e1,e0)) )
| ( e0 = op(e0,op(e0,e0))
& e0 != op(e0,op(e0,e0)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).
fof(f802,plain,
~ spl34_77,
inference(avatar_split_clause,[],[f415,f793]) ).
fof(f415,plain,
~ sP10,
inference(trivial_inequality_removal,[],[f148]) ).
fof(f148,plain,
( op(e0,e0) != op(e0,e0)
| ~ sP10 ),
inference(cnf_transformation,[],[f68]) ).
fof(f68,plain,
( ( e0 != op(op(e0,e0),e0)
& e0 = op(op(e0,e0),e0)
& op(e0,e0) != op(e0,e0) )
| ~ sP10 ),
inference(nnf_transformation,[],[f20]) ).
fof(f791,plain,
( ~ spl34_74
| ~ spl34_64 ),
inference(avatar_split_clause,[],[f145,f728,f778]) ).
fof(f145,plain,
( op(e0,e1) != op(e1,e0)
| ~ sP11 ),
inference(cnf_transformation,[],[f67]) ).
fof(f67,plain,
( ( e1 != op(op(e0,e1),e0)
& e0 = op(op(e0,e1),e1)
& op(e0,e1) != op(e1,e0) )
| ~ sP11 ),
inference(nnf_transformation,[],[f21]) ).
fof(f776,plain,
( ~ spl34_71
| ~ spl34_49 ),
inference(avatar_split_clause,[],[f142,f653,f763]) ).
fof(f142,plain,
( op(e0,e2) != op(e2,e0)
| ~ sP12 ),
inference(cnf_transformation,[],[f66]) ).
fof(f66,plain,
( ( e2 != op(op(e0,e2),e0)
& e0 = op(op(e0,e2),e2)
& op(e0,e2) != op(e2,e0) )
| ~ sP12 ),
inference(nnf_transformation,[],[f22]) ).
fof(f770,plain,
( ~ spl34_71
| ~ spl34_72 ),
inference(avatar_split_clause,[],[f144,f767,f763]) ).
fof(f144,plain,
( e2 != op(op(e0,e2),e0)
| ~ sP12 ),
inference(cnf_transformation,[],[f66]) ).
fof(f761,plain,
( ~ spl34_68
| ~ spl34_33 ),
inference(avatar_split_clause,[],[f139,f574,f748]) ).
fof(f139,plain,
( op(e0,e3) != op(e3,e0)
| ~ sP13 ),
inference(cnf_transformation,[],[f65]) ).
fof(f65,plain,
( ( e3 != op(op(e0,e3),e0)
& e0 = op(op(e0,e3),e3)
& op(e0,e3) != op(e3,e0) )
| ~ sP13 ),
inference(nnf_transformation,[],[f23]) ).
fof(f760,plain,
( ~ spl34_68
| spl34_70 ),
inference(avatar_split_clause,[],[f140,f757,f748]) ).
fof(f140,plain,
( e0 = op(op(e0,e3),e3)
| ~ sP13 ),
inference(cnf_transformation,[],[f65]) ).
fof(f746,plain,
( ~ spl34_65
| ~ spl34_16 ),
inference(avatar_split_clause,[],[f136,f491,f733]) ).
fof(f136,plain,
( op(e0,e4) != op(e4,e0)
| ~ sP14 ),
inference(cnf_transformation,[],[f64]) ).
fof(f64,plain,
( ( e4 != op(op(e0,e4),e0)
& e0 = op(op(e0,e4),e4)
& op(e0,e4) != op(e4,e0) )
| ~ sP14 ),
inference(nnf_transformation,[],[f24]) ).
fof(f745,plain,
( ~ spl34_65
| spl34_67 ),
inference(avatar_split_clause,[],[f137,f742,f733]) ).
fof(f137,plain,
( e0 = op(op(e0,e4),e4)
| ~ sP14 ),
inference(cnf_transformation,[],[f64]) ).
fof(f731,plain,
( ~ spl34_61
| ~ spl34_64 ),
inference(avatar_split_clause,[],[f133,f728,f714]) ).
fof(f133,plain,
( op(e0,e1) != op(e1,e0)
| ~ sP15 ),
inference(cnf_transformation,[],[f63]) ).
fof(f63,plain,
( ( e0 != op(op(e1,e0),e1)
& e1 = op(op(e1,e0),e0)
& op(e0,e1) != op(e1,e0) )
| ~ sP15 ),
inference(nnf_transformation,[],[f25]) ).
fof(f712,plain,
~ spl34_59,
inference(avatar_split_clause,[],[f416,f703]) ).
fof(f416,plain,
~ sP16,
inference(trivial_inequality_removal,[],[f130]) ).
fof(f130,plain,
( op(e1,e1) != op(e1,e1)
| ~ sP16 ),
inference(cnf_transformation,[],[f62]) ).
fof(f62,plain,
( ( e1 != op(op(e1,e1),e1)
& e1 = op(op(e1,e1),e1)
& op(e1,e1) != op(e1,e1) )
| ~ sP16 ),
inference(nnf_transformation,[],[f26]) ).
fof(f701,plain,
( ~ spl34_56
| ~ spl34_45 ),
inference(avatar_split_clause,[],[f127,f634,f688]) ).
fof(f127,plain,
( op(e1,e2) != op(e2,e1)
| ~ sP17 ),
inference(cnf_transformation,[],[f61]) ).
fof(f61,plain,
( ( e2 != op(op(e1,e2),e1)
& e1 = op(op(e1,e2),e2)
& op(e1,e2) != op(e2,e1) )
| ~ sP17 ),
inference(nnf_transformation,[],[f27]) ).
fof(f700,plain,
( ~ spl34_56
| spl34_58 ),
inference(avatar_split_clause,[],[f128,f697,f688]) ).
fof(f128,plain,
( e1 = op(op(e1,e2),e2)
| ~ sP17 ),
inference(cnf_transformation,[],[f61]) ).
fof(f686,plain,
( ~ spl34_53
| ~ spl34_29 ),
inference(avatar_split_clause,[],[f124,f555,f673]) ).
fof(f124,plain,
( op(e1,e3) != op(e3,e1)
| ~ sP18 ),
inference(cnf_transformation,[],[f60]) ).
fof(f60,plain,
( ( e3 != op(op(e1,e3),e1)
& e1 = op(op(e1,e3),e3)
& op(e1,e3) != op(e3,e1) )
| ~ sP18 ),
inference(nnf_transformation,[],[f28]) ).
fof(f685,plain,
( ~ spl34_53
| spl34_55 ),
inference(avatar_split_clause,[],[f125,f682,f673]) ).
fof(f125,plain,
( e1 = op(op(e1,e3),e3)
| ~ sP18 ),
inference(cnf_transformation,[],[f60]) ).
fof(f671,plain,
( ~ spl34_50
| ~ spl34_12 ),
inference(avatar_split_clause,[],[f121,f472,f658]) ).
fof(f121,plain,
( op(e1,e4) != op(e4,e1)
| ~ sP19 ),
inference(cnf_transformation,[],[f59]) ).
fof(f59,plain,
( ( e4 != op(op(e1,e4),e1)
& e1 = op(op(e1,e4),e4)
& op(e1,e4) != op(e4,e1) )
| ~ sP19 ),
inference(nnf_transformation,[],[f29]) ).
fof(f670,plain,
( ~ spl34_50
| spl34_52 ),
inference(avatar_split_clause,[],[f122,f667,f658]) ).
fof(f122,plain,
( e1 = op(op(e1,e4),e4)
| ~ sP19 ),
inference(cnf_transformation,[],[f59]) ).
fof(f656,plain,
( ~ spl34_46
| ~ spl34_49 ),
inference(avatar_split_clause,[],[f118,f653,f639]) ).
fof(f118,plain,
( op(e0,e2) != op(e2,e0)
| ~ sP20 ),
inference(cnf_transformation,[],[f58]) ).
fof(f58,plain,
( ( e0 != op(op(e2,e0),e2)
& e2 = op(op(e2,e0),e0)
& op(e0,e2) != op(e2,e0) )
| ~ sP20 ),
inference(nnf_transformation,[],[f30]) ).
fof(f651,plain,
( ~ spl34_46
| spl34_48 ),
inference(avatar_split_clause,[],[f119,f648,f639]) ).
fof(f119,plain,
( e2 = op(op(e2,e0),e0)
| ~ sP20 ),
inference(cnf_transformation,[],[f58]) ).
fof(f637,plain,
( ~ spl34_42
| ~ spl34_45 ),
inference(avatar_split_clause,[],[f115,f634,f620]) ).
fof(f115,plain,
( op(e1,e2) != op(e2,e1)
| ~ sP21 ),
inference(cnf_transformation,[],[f57]) ).
fof(f57,plain,
( ( e1 != op(op(e2,e1),e2)
& e2 = op(op(e2,e1),e1)
& op(e1,e2) != op(e2,e1) )
| ~ sP21 ),
inference(nnf_transformation,[],[f31]) ).
fof(f632,plain,
( ~ spl34_42
| spl34_44 ),
inference(avatar_split_clause,[],[f116,f629,f620]) ).
fof(f116,plain,
( e2 = op(op(e2,e1),e1)
| ~ sP21 ),
inference(cnf_transformation,[],[f57]) ).
fof(f618,plain,
~ spl34_40,
inference(avatar_split_clause,[],[f417,f609]) ).
fof(f417,plain,
~ sP22,
inference(trivial_inequality_removal,[],[f112]) ).
fof(f112,plain,
( op(e2,e2) != op(e2,e2)
| ~ sP22 ),
inference(cnf_transformation,[],[f56]) ).
fof(f56,plain,
( ( e2 != op(op(e2,e2),e2)
& e2 = op(op(e2,e2),e2)
& op(e2,e2) != op(e2,e2) )
| ~ sP22 ),
inference(nnf_transformation,[],[f32]) ).
fof(f607,plain,
( ~ spl34_37
| ~ spl34_25 ),
inference(avatar_split_clause,[],[f109,f536,f594]) ).
fof(f109,plain,
( op(e2,e3) != op(e3,e2)
| ~ sP23 ),
inference(cnf_transformation,[],[f55]) ).
fof(f55,plain,
( ( e3 != op(op(e2,e3),e2)
& e2 = op(op(e2,e3),e3)
& op(e2,e3) != op(e3,e2) )
| ~ sP23 ),
inference(nnf_transformation,[],[f33]) ).
fof(f601,plain,
( ~ spl34_37
| ~ spl34_38 ),
inference(avatar_split_clause,[],[f111,f598,f594]) ).
fof(f111,plain,
( e3 != op(op(e2,e3),e2)
| ~ sP23 ),
inference(cnf_transformation,[],[f55]) ).
fof(f591,plain,
( ~ spl34_34
| spl34_36 ),
inference(avatar_split_clause,[],[f107,f588,f579]) ).
fof(f107,plain,
( e2 = op(op(e2,e4),e4)
| ~ sP24 ),
inference(cnf_transformation,[],[f54]) ).
fof(f54,plain,
( ( e4 != op(op(e2,e4),e2)
& e2 = op(op(e2,e4),e4)
& op(e2,e4) != op(e4,e2) )
| ~ sP24 ),
inference(nnf_transformation,[],[f34]) ).
fof(f577,plain,
( ~ spl34_30
| ~ spl34_33 ),
inference(avatar_split_clause,[],[f103,f574,f560]) ).
fof(f103,plain,
( op(e0,e3) != op(e3,e0)
| ~ sP25 ),
inference(cnf_transformation,[],[f53]) ).
fof(f53,plain,
( ( e0 != op(op(e3,e0),e3)
& e3 = op(op(e3,e0),e0)
& op(e0,e3) != op(e3,e0) )
| ~ sP25 ),
inference(nnf_transformation,[],[f35]) ).
fof(f572,plain,
( ~ spl34_30
| spl34_32 ),
inference(avatar_split_clause,[],[f104,f569,f560]) ).
fof(f104,plain,
( e3 = op(op(e3,e0),e0)
| ~ sP25 ),
inference(cnf_transformation,[],[f53]) ).
fof(f567,plain,
( ~ spl34_30
| ~ spl34_31 ),
inference(avatar_split_clause,[],[f105,f564,f560]) ).
fof(f105,plain,
( e0 != op(op(e3,e0),e3)
| ~ sP25 ),
inference(cnf_transformation,[],[f53]) ).
fof(f558,plain,
( ~ spl34_26
| ~ spl34_29 ),
inference(avatar_split_clause,[],[f100,f555,f541]) ).
fof(f100,plain,
( op(e1,e3) != op(e3,e1)
| ~ sP26 ),
inference(cnf_transformation,[],[f52]) ).
fof(f52,plain,
( ( e1 != op(op(e3,e1),e3)
& e3 = op(op(e3,e1),e1)
& op(e1,e3) != op(e3,e1) )
| ~ sP26 ),
inference(nnf_transformation,[],[f36]) ).
fof(f548,plain,
( ~ spl34_26
| ~ spl34_27 ),
inference(avatar_split_clause,[],[f102,f545,f541]) ).
fof(f102,plain,
( e1 != op(op(e3,e1),e3)
| ~ sP26 ),
inference(cnf_transformation,[],[f52]) ).
fof(f539,plain,
( ~ spl34_22
| ~ spl34_25 ),
inference(avatar_split_clause,[],[f97,f536,f522]) ).
fof(f97,plain,
( op(e2,e3) != op(e3,e2)
| ~ sP27 ),
inference(cnf_transformation,[],[f51]) ).
fof(f51,plain,
( ( e2 != op(op(e3,e2),e3)
& e3 = op(op(e3,e2),e2)
& op(e2,e3) != op(e3,e2) )
| ~ sP27 ),
inference(nnf_transformation,[],[f37]) ).
fof(f534,plain,
( ~ spl34_22
| spl34_24 ),
inference(avatar_split_clause,[],[f98,f531,f522]) ).
fof(f98,plain,
( e3 = op(op(e3,e2),e2)
| ~ sP27 ),
inference(cnf_transformation,[],[f51]) ).
fof(f520,plain,
~ spl34_20,
inference(avatar_split_clause,[],[f418,f511]) ).
fof(f418,plain,
~ sP28,
inference(trivial_inequality_removal,[],[f94]) ).
fof(f94,plain,
( op(e3,e3) != op(e3,e3)
| ~ sP28 ),
inference(cnf_transformation,[],[f50]) ).
fof(f50,plain,
( ( e3 != op(op(e3,e3),e3)
& e3 = op(op(e3,e3),e3)
& op(e3,e3) != op(e3,e3) )
| ~ sP28 ),
inference(nnf_transformation,[],[f38]) ).
fof(f508,plain,
( ~ spl34_17
| spl34_19 ),
inference(avatar_split_clause,[],[f92,f505,f496]) ).
fof(f92,plain,
( e3 = op(op(e3,e4),e4)
| ~ sP29 ),
inference(cnf_transformation,[],[f49]) ).
fof(f49,plain,
( ( e4 != op(op(e3,e4),e3)
& e3 = op(op(e3,e4),e4)
& op(e3,e4) != op(e4,e3) )
| ~ sP29 ),
inference(nnf_transformation,[],[f39]) ).
fof(f489,plain,
( ~ spl34_13
| spl34_15 ),
inference(avatar_split_clause,[],[f89,f486,f477]) ).
fof(f89,plain,
( e4 = op(op(e4,e0),e0)
| ~ sP30 ),
inference(cnf_transformation,[],[f48]) ).
fof(f48,plain,
( ( e0 != op(op(e4,e0),e4)
& e4 = op(op(e4,e0),e0)
& op(e0,e4) != op(e4,e0) )
| ~ sP30 ),
inference(nnf_transformation,[],[f40]) ).
fof(f484,plain,
( ~ spl34_13
| ~ spl34_14 ),
inference(avatar_split_clause,[],[f90,f481,f477]) ).
fof(f90,plain,
( e0 != op(op(e4,e0),e4)
| ~ sP30 ),
inference(cnf_transformation,[],[f48]) ).
fof(f475,plain,
( ~ spl34_9
| ~ spl34_12 ),
inference(avatar_split_clause,[],[f85,f472,f458]) ).
fof(f85,plain,
( op(e1,e4) != op(e4,e1)
| ~ sP31 ),
inference(cnf_transformation,[],[f47]) ).
fof(f47,plain,
( ( e1 != op(op(e4,e1),e4)
& e4 = op(op(e4,e1),e1)
& op(e1,e4) != op(e4,e1) )
| ~ sP31 ),
inference(nnf_transformation,[],[f41]) ).
fof(f465,plain,
( ~ spl34_9
| ~ spl34_10 ),
inference(avatar_split_clause,[],[f87,f462,f458]) ).
fof(f87,plain,
( e1 != op(op(e4,e1),e4)
| ~ sP31 ),
inference(cnf_transformation,[],[f47]) ).
fof(f451,plain,
( ~ spl34_5
| spl34_7 ),
inference(avatar_split_clause,[],[f83,f448,f439]) ).
fof(f83,plain,
( e4 = op(op(e4,e2),e2)
| ~ sP32 ),
inference(cnf_transformation,[],[f46]) ).
fof(f46,plain,
( ( e2 != op(op(e4,e2),e4)
& e4 = op(op(e4,e2),e2)
& op(e2,e4) != op(e4,e2) )
| ~ sP32 ),
inference(nnf_transformation,[],[f42]) ).
fof(f446,plain,
( ~ spl34_5
| ~ spl34_6 ),
inference(avatar_split_clause,[],[f84,f443,f439]) ).
fof(f84,plain,
( e2 != op(op(e4,e2),e4)
| ~ sP32 ),
inference(cnf_transformation,[],[f46]) ).
fof(f437,plain,
( ~ spl34_1
| ~ spl34_4 ),
inference(avatar_split_clause,[],[f79,f434,f420]) ).
fof(f79,plain,
( op(e3,e4) != op(e4,e3)
| ~ sP33 ),
inference(cnf_transformation,[],[f45]) ).
fof(f45,plain,
( ( e3 != op(op(e4,e3),e4)
& e4 = op(op(e4,e3),e3)
& op(e3,e4) != op(e4,e3) )
| ~ sP33 ),
inference(nnf_transformation,[],[f43]) ).
fof(f427,plain,
( ~ spl34_1
| ~ spl34_2 ),
inference(avatar_split_clause,[],[f81,f424,f420]) ).
fof(f81,plain,
( e3 != op(op(e4,e3),e4)
| ~ sP33 ),
inference(cnf_transformation,[],[f45]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.13 % Problem : ALG057+1 : TPTP v8.2.0. Released v2.7.0.
% 0.09/0.15 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.15/0.36 % Computer : n006.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Sat May 18 23:24:08 EDT 2024
% 0.15/0.36 % CPUTime :
% 0.15/0.36 This is a FOF_THM_RFO_PEQ problem
% 0.15/0.36 Running vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.55/0.75 % (22987)lrs+21_1:5_sil=2000:sos=on:urr=on:newcnf=on:slsq=on:i=83:slsql=off:bd=off:nm=2:ss=axioms:st=1.5:sp=const_min:gsp=on:rawr=on_0 on theBenchmark for (2996ds/83Mi)
% 0.55/0.75 % (22988)lrs-21_1:1_to=lpo:sil=2000:sp=frequency:sos=on:lma=on:i=56:sd=2:ss=axioms:ep=R_0 on theBenchmark for (2996ds/56Mi)
% 0.55/0.75 % (22981)dis-1011_2:1_sil=2000:lsd=20:nwc=5.0:flr=on:mep=off:st=3.0:i=34:sd=1:ep=RS:ss=axioms_0 on theBenchmark for (2996ds/34Mi)
% 0.55/0.75 % (22983)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on theBenchmark for (2996ds/78Mi)
% 0.55/0.75 % (22984)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on theBenchmark for (2996ds/33Mi)
% 0.55/0.75 % (22985)lrs+2_1:1_sil=16000:fde=none:sos=all:nwc=5.0:i=34:ep=RS:s2pl=on:lma=on:afp=100000_0 on theBenchmark for (2996ds/34Mi)
% 0.55/0.75 % (22986)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on theBenchmark for (2996ds/45Mi)
% 0.55/0.75 % (22982)lrs+1011_461:32768_sil=16000:irw=on:sp=frequency:lsd=20:fd=preordered:nwc=10.0:s2agt=32:alpa=false:cond=fast:s2a=on:i=51:s2at=3.0:awrs=decay:awrsf=691:bd=off:nm=20:fsr=off:amm=sco:uhcvi=on:rawr=on_0 on theBenchmark for (2996ds/51Mi)
% 0.55/0.76 % (22988)Refutation not found, incomplete strategy% (22988)------------------------------
% 0.55/0.76 % (22988)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.55/0.76 % (22988)Termination reason: Refutation not found, incomplete strategy
% 0.55/0.76
% 0.55/0.76 % (22988)Memory used [KB]: 1342
% 0.55/0.76 % (22988)Time elapsed: 0.006 s
% 0.55/0.76 % (22988)Instructions burned: 21 (million)
% 0.55/0.76 % (22988)------------------------------
% 0.55/0.76 % (22988)------------------------------
% 0.55/0.76 % (22989)lrs+21_1:16_sil=2000:sp=occurrence:urr=on:flr=on:i=55:sd=1:nm=0:ins=3:ss=included:rawr=on:br=off_0 on theBenchmark for (2996ds/55Mi)
% 0.55/0.76 % (22985)Refutation not found, incomplete strategy% (22985)------------------------------
% 0.55/0.76 % (22985)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.55/0.76 % (22985)Termination reason: Refutation not found, incomplete strategy
% 0.55/0.76
% 0.55/0.76 % (22985)Memory used [KB]: 1403
% 0.55/0.76 % (22985)Time elapsed: 0.011 s
% 0.55/0.76 % (22985)Instructions burned: 22 (million)
% 0.55/0.76 % (22985)------------------------------
% 0.55/0.76 % (22985)------------------------------
% 0.55/0.77 % (22986)Refutation not found, incomplete strategy% (22986)------------------------------
% 0.55/0.77 % (22986)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.55/0.77 % (22986)Termination reason: Refutation not found, incomplete strategy
% 0.55/0.77
% 0.55/0.77 % (22986)Memory used [KB]: 1296
% 0.55/0.77 % (22986)Time elapsed: 0.015 s
% 0.55/0.77 % (22986)Instructions burned: 33 (million)
% 0.55/0.77 % (22986)------------------------------
% 0.55/0.77 % (22986)------------------------------
% 0.55/0.77 % (22981)Refutation not found, incomplete strategy% (22981)------------------------------
% 0.55/0.77 % (22981)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.55/0.77 % (22981)Termination reason: Refutation not found, incomplete strategy
% 0.55/0.77
% 0.55/0.77 % (22981)Memory used [KB]: 1600
% 0.55/0.77 % (22981)Time elapsed: 0.016 s
% 0.55/0.77 % (22981)Instructions burned: 33 (million)
% 0.55/0.77 % (22990)dis+3_25:4_sil=16000:sos=all:erd=off:i=50:s2at=4.0:bd=off:nm=60:sup=off:cond=on:av=off:ins=2:nwc=10.0:etr=on:to=lpo:s2agt=20:fd=off:bsr=unit_only:slsq=on:slsqr=28,19:awrs=converge:awrsf=500:tgt=ground:bs=unit_only_0 on theBenchmark for (2996ds/50Mi)
% 0.55/0.77 % (22981)------------------------------
% 0.55/0.77 % (22981)------------------------------
% 0.55/0.77 % (22984)Instruction limit reached!
% 0.55/0.77 % (22984)------------------------------
% 0.55/0.77 % (22984)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.55/0.77 % (22984)Termination reason: Unknown
% 0.55/0.77 % (22984)Termination phase: Saturation
% 0.55/0.77
% 0.55/0.77 % (22984)Memory used [KB]: 1818
% 0.55/0.77 % (22984)Time elapsed: 0.017 s
% 0.55/0.77 % (22984)Instructions burned: 33 (million)
% 0.55/0.77 % (22984)------------------------------
% 0.55/0.77 % (22984)------------------------------
% 0.68/0.77 % (22991)lrs+1010_1:2_sil=4000:tgt=ground:nwc=10.0:st=2.0:i=208:sd=1:bd=off:ss=axioms_0 on theBenchmark for (2996ds/208Mi)
% 0.68/0.77 % (22993)lrs-1010_1:1_to=lpo:sil=2000:sp=reverse_arity:sos=on:urr=ec_only:i=518:sd=2:bd=off:ss=axioms:sgt=16_0 on theBenchmark for (2996ds/518Mi)
% 0.68/0.77 % (22992)lrs-1011_1:1_sil=4000:plsq=on:plsqr=32,1:sp=frequency:plsql=on:nwc=10.0:i=52:aac=none:afr=on:ss=axioms:er=filter:sgt=16:rawr=on:etr=on:lma=on_0 on theBenchmark for (2996ds/52Mi)
% 0.68/0.77 % (22987)Instruction limit reached!
% 0.68/0.77 % (22987)------------------------------
% 0.68/0.77 % (22987)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.68/0.77 % (22987)Termination reason: Unknown
% 0.68/0.77 % (22987)Termination phase: Saturation
% 0.68/0.77
% 0.68/0.77 % (22987)Memory used [KB]: 2173
% 0.68/0.77 % (22987)Time elapsed: 0.023 s
% 0.68/0.77 % (22987)Instructions burned: 83 (million)
% 0.68/0.77 % (22987)------------------------------
% 0.68/0.77 % (22987)------------------------------
% 0.68/0.78 % (22994)lrs+1011_87677:1048576_sil=8000:sos=on:spb=non_intro:nwc=10.0:kmz=on:i=42:ep=RS:nm=0:ins=1:uhcvi=on:rawr=on:fde=unused:afp=2000:afq=1.444:plsq=on:nicw=on_0 on theBenchmark for (2996ds/42Mi)
% 0.68/0.78 % (22982)Instruction limit reached!
% 0.68/0.78 % (22982)------------------------------
% 0.68/0.78 % (22982)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.68/0.78 % (22982)Termination reason: Unknown
% 0.68/0.78 % (22982)Termination phase: Saturation
% 0.68/0.78
% 0.68/0.78 % (22982)Memory used [KB]: 2088
% 0.68/0.78 % (22982)Time elapsed: 0.026 s
% 0.68/0.78 % (22982)Instructions burned: 51 (million)
% 0.68/0.78 % (22982)------------------------------
% 0.68/0.78 % (22982)------------------------------
% 0.68/0.78 % (22995)dis+1011_1258907:1048576_bsr=unit_only:to=lpo:drc=off:sil=2000:tgt=full:fde=none:sp=frequency:spb=goal:rnwc=on:nwc=6.70083:sac=on:newcnf=on:st=2:i=243:bs=unit_only:sd=3:afp=300:awrs=decay:awrsf=218:nm=16:ins=3:afq=3.76821:afr=on:ss=axioms:sgt=5:rawr=on:add=off:bsd=on_0 on theBenchmark for (2995ds/243Mi)
% 0.68/0.78 % (22989)Instruction limit reached!
% 0.68/0.78 % (22989)------------------------------
% 0.68/0.78 % (22989)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.68/0.78 % (22989)Termination reason: Unknown
% 0.68/0.78 % (22989)Termination phase: Clausification
% 0.68/0.78
% 0.68/0.78 % (22989)Memory used [KB]: 27960
% 0.68/0.78 % (22989)Time elapsed: 0.026 s
% 0.68/0.78 % (22989)Instructions burned: 55 (million)
% 0.68/0.78 % (22989)------------------------------
% 0.68/0.78 % (22989)------------------------------
% 0.68/0.79 % (22993)Refutation not found, incomplete strategy% (22993)------------------------------
% 0.68/0.79 % (22993)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.68/0.79 % (22993)Termination reason: Refutation not found, incomplete strategy
% 0.68/0.79
% 0.68/0.79 % (22993)Memory used [KB]: 1392
% 0.68/0.79 % (22993)Time elapsed: 0.016 s
% 0.68/0.79 % (22993)Instructions burned: 34 (million)
% 0.68/0.79 % (22993)------------------------------
% 0.68/0.79 % (22993)------------------------------
% 0.68/0.79 % (22990)Instruction limit reached!
% 0.68/0.79 % (22990)------------------------------
% 0.68/0.79 % (22990)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.68/0.79 % (22990)Termination reason: Unknown
% 0.68/0.79 % (22990)Termination phase: Saturation
% 0.68/0.79
% 0.68/0.79 % (22990)Memory used [KB]: 2633
% 0.68/0.79 % (22990)Time elapsed: 0.022 s
% 0.68/0.79 % (22990)Instructions burned: 50 (million)
% 0.68/0.79 % (22990)------------------------------
% 0.68/0.79 % (22990)------------------------------
% 0.68/0.79 % (22996)lrs+1011_2:9_sil=2000:lsd=10:newcnf=on:i=117:sd=2:awrs=decay:ss=included:amm=off:ep=R_0 on theBenchmark for (2995ds/117Mi)
% 0.68/0.79 % (22983)Instruction limit reached!
% 0.68/0.79 % (22983)------------------------------
% 0.68/0.79 % (22983)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.68/0.79 % (22983)Termination reason: Unknown
% 0.68/0.79 % (22983)Termination phase: Saturation
% 0.68/0.79
% 0.68/0.79 % (22983)Memory used [KB]: 2120
% 0.68/0.79 % (22983)Time elapsed: 0.040 s
% 0.68/0.79 % (22983)Instructions burned: 79 (million)
% 0.68/0.79 % (22983)------------------------------
% 0.68/0.79 % (22983)------------------------------
% 0.68/0.79 % (22997)dis+1011_11:1_sil=2000:avsq=on:i=143:avsqr=1,16:ep=RS:rawr=on:aac=none:lsd=100:mep=off:fde=none:newcnf=on:bsr=unit_only_0 on theBenchmark for (2995ds/143Mi)
% 0.68/0.79 % (22998)lrs+1011_1:2_to=lpo:sil=8000:plsqc=1:plsq=on:plsqr=326,59:sp=weighted_frequency:plsql=on:nwc=10.0:newcnf=on:i=93:awrs=converge:awrsf=200:bd=off:ins=1:rawr=on:alpa=false:avsq=on:avsqr=1,16_0 on theBenchmark for (2995ds/93Mi)
% 0.68/0.79 % (22994)Instruction limit reached!
% 0.68/0.79 % (22994)------------------------------
% 0.68/0.79 % (22994)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.68/0.79 % (22994)Termination reason: Unknown
% 0.68/0.79 % (22994)Termination phase: Clausification
% 0.68/0.79
% 0.68/0.79 % (22994)Memory used [KB]: 23054
% 0.68/0.79 % (22994)Time elapsed: 0.019 s
% 0.68/0.79 % (22994)Instructions burned: 43 (million)
% 0.68/0.79 % (22994)------------------------------
% 0.68/0.79 % (22994)------------------------------
% 0.68/0.80 % (22999)lrs+1666_1:1_sil=4000:sp=occurrence:sos=on:urr=on:newcnf=on:i=62:amm=off:ep=R:erd=off:nm=0:plsq=on:plsqr=14,1_0 on theBenchmark for (2995ds/62Mi)
% 0.68/0.80 % (22992)Instruction limit reached!
% 0.68/0.80 % (22992)------------------------------
% 0.68/0.80 % (22992)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.68/0.80 % (22992)Termination reason: Unknown
% 0.68/0.80 % (22992)Termination phase: Saturation
% 0.68/0.80
% 0.68/0.80 % (22992)Memory used [KB]: 1823
% 0.68/0.80 % (22992)Time elapsed: 0.027 s
% 0.68/0.80 % (22992)Instructions burned: 54 (million)
% 0.68/0.80 % (22992)------------------------------
% 0.68/0.80 % (22992)------------------------------
% 0.68/0.80 % (23000)lrs+21_2461:262144_anc=none:drc=off:sil=2000:sp=occurrence:nwc=6.0:updr=off:st=3.0:i=32:sd=2:afp=4000:erml=3:nm=14:afq=2.0:uhcvi=on:ss=included:er=filter:abs=on:nicw=on:ile=on:sims=off:s2a=on:s2agt=50:s2at=-1.0:plsq=on:plsql=on:plsqc=2:plsqr=1,32:newcnf=on:bd=off:to=lpo_0 on theBenchmark for (2995ds/32Mi)
% 0.68/0.80 % (22996)Refutation not found, incomplete strategy% (22996)------------------------------
% 0.68/0.80 % (22996)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.68/0.80 % (22996)Termination reason: Refutation not found, incomplete strategy
% 0.68/0.80
% 0.68/0.80 % (22996)Memory used [KB]: 1746
% 0.68/0.80 % (22996)Time elapsed: 0.011 s
% 0.68/0.80 % (22996)Instructions burned: 38 (million)
% 0.68/0.80 % (22996)------------------------------
% 0.68/0.80 % (22996)------------------------------
% 0.68/0.80 % (23001)dis+1011_1:1_sil=16000:nwc=7.0:s2agt=64:s2a=on:i=1919:ss=axioms:sgt=8:lsd=50:sd=7_0 on theBenchmark for (2995ds/1919Mi)
% 0.68/0.80 % (23002)ott-32_5:1_sil=4000:sp=occurrence:urr=full:rp=on:nwc=5.0:newcnf=on:st=5.0:s2pl=on:i=55:sd=2:ins=2:ss=included:rawr=on:anc=none:sos=on:s2agt=8:spb=intro:ep=RS:avsq=on:avsqr=27,155:lma=on_0 on theBenchmark for (2995ds/55Mi)
% 0.68/0.81 % (23000)Instruction limit reached!
% 0.68/0.81 % (23000)------------------------------
% 0.68/0.81 % (23000)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.68/0.81 % (23000)Termination reason: Unknown
% 0.68/0.81 % (23000)Termination phase: Saturation
% 0.68/0.81
% 0.68/0.81 % (23000)Memory used [KB]: 1621
% 0.68/0.81 % (23000)Time elapsed: 0.009 s
% 0.68/0.81 % (23000)Instructions burned: 35 (million)
% 0.68/0.81 % (23000)------------------------------
% 0.68/0.81 % (23000)------------------------------
% 0.68/0.81 % (23003)lrs-1011_1:1_sil=2000:sos=on:urr=on:i=53:sd=1:bd=off:ins=3:av=off:ss=axioms:sgt=16:gsp=on:lsd=10_0 on theBenchmark for (2995ds/53Mi)
% 0.68/0.81 % (22997)Refutation not found, incomplete strategy% (22997)------------------------------
% 0.68/0.81 % (22997)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.68/0.81 % (22997)Termination reason: Refutation not found, incomplete strategy
% 0.68/0.81
% 0.68/0.81 % (22997)Memory used [KB]: 1730
% 0.68/0.81 % (22997)Time elapsed: 0.019 s
% 0.68/0.81 % (22997)Instructions burned: 38 (million)
% 0.68/0.81 % (22997)------------------------------
% 0.68/0.81 % (22997)------------------------------
% 0.68/0.81 % (23004)lrs+1011_6929:65536_anc=all_dependent:sil=2000:fde=none:plsqc=1:plsq=on:plsqr=19,8:plsql=on:nwc=3.0:i=46:afp=4000:ep=R:nm=3:fsr=off:afr=on:aer=off:gsp=on_0 on theBenchmark for (2995ds/46Mi)
% 0.68/0.81 % (23002)Refutation not found, incomplete strategy% (23002)------------------------------
% 0.68/0.81 % (23002)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.68/0.81 % (23002)Termination reason: Refutation not found, incomplete strategy
% 0.68/0.81
% 0.68/0.81 % (23002)Memory used [KB]: 2129
% 0.68/0.81 % (23002)Time elapsed: 0.013 s
% 0.68/0.81 % (23002)Instructions burned: 48 (million)
% 0.68/0.82 % (23002)------------------------------
% 0.68/0.82 % (23002)------------------------------
% 0.68/0.82 % (23005)dis+10_3:31_sil=2000:sp=frequency:abs=on:acc=on:lcm=reverse:nwc=3.0:alpa=random:st=3.0:i=102:sd=1:nm=4:ins=1:aer=off:ss=axioms_0 on theBenchmark for (2995ds/102Mi)
% 0.68/0.82 % (23003)Instruction limit reached!
% 0.68/0.82 % (23003)------------------------------
% 0.68/0.82 % (23003)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.68/0.82 % (23003)Termination reason: Unknown
% 0.68/0.82 % (23003)Termination phase: Saturation
% 0.68/0.82
% 0.68/0.82 % (23003)Memory used [KB]: 2052
% 0.68/0.82 % (23003)Time elapsed: 0.013 s
% 0.68/0.82 % (23003)Instructions burned: 55 (million)
% 0.68/0.82 % (23003)------------------------------
% 0.68/0.82 % (23003)------------------------------
% 0.68/0.82 % (23006)ott+1011_9:29_slsqr=3,2:sil=2000:tgt=ground:lsd=10:lcm=predicate:avsqc=4:slsq=on:avsq=on:i=35:s2at=4.0:add=large:sd=1:avsqr=1,16:aer=off:ss=axioms:sgt=100:rawr=on:s2a=on:sac=on:afp=1:nwc=10.0:nm=64:bd=preordered:abs=on:rnwc=on:er=filter:nicw=on:spb=non_intro:lma=on_0 on theBenchmark for (2995ds/35Mi)
% 0.68/0.82 % (23004)Refutation not found, incomplete strategy% (23004)------------------------------
% 0.68/0.82 % (23004)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.68/0.82 % (23004)Termination reason: Refutation not found, incomplete strategy
% 0.68/0.82
% 0.68/0.82 % (23004)Memory used [KB]: 1584
% 0.68/0.83 % (23004)Time elapsed: 0.013 s
% 0.68/0.83 % (23004)Instructions burned: 25 (million)
% 0.68/0.83 % (23004)------------------------------
% 0.68/0.83 % (23004)------------------------------
% 0.68/0.83 % (22999)Instruction limit reached!
% 0.68/0.83 % (22999)------------------------------
% 0.68/0.83 % (22999)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.68/0.83 % (22999)Termination reason: Unknown
% 0.68/0.83 % (22999)Termination phase: NewCNF
% 0.68/0.83
% 0.68/0.83 % (22999)Memory used [KB]: 8330
% 0.68/0.83 % (22999)Time elapsed: 0.035 s
% 0.68/0.83 % (22999)Instructions burned: 62 (million)
% 0.68/0.83 % (22999)------------------------------
% 0.68/0.83 % (22999)------------------------------
% 0.68/0.83 % (23006)Instruction limit reached!
% 0.68/0.83 % (23006)------------------------------
% 0.68/0.83 % (23006)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.68/0.83 % (23006)Termination reason: Unknown
% 0.68/0.83 % (23006)Termination phase: Saturation
% 0.68/0.83
% 0.68/0.83 % (23006)Memory used [KB]: 1320
% 0.68/0.83 % (23006)Time elapsed: 0.008 s
% 0.68/0.83 % (23006)Instructions burned: 35 (million)
% 0.68/0.83 % (23006)------------------------------
% 0.68/0.83 % (23006)------------------------------
% 0.68/0.83 % (23007)dis+1003_1:1024_sil=4000:urr=on:newcnf=on:i=87:av=off:fsr=off:bce=on_0 on theBenchmark for (2995ds/87Mi)
% 0.68/0.83 % (23008)dis+1010_12107:524288_anc=none:drc=encompass:sil=2000:bsd=on:rp=on:nwc=10.0:alpa=random:i=109:kws=precedence:awrs=decay:awrsf=2:nm=16:ins=3:rawr=on:s2a=on:s2at=4.5:acc=on:flr=on_0 on theBenchmark for (2995ds/109Mi)
% 0.68/0.83 % (23009)lrs+1002_1:16_sil=2000:sp=occurrence:sos=on:i=161:aac=none:bd=off:ss=included:sd=5:st=2.5:sup=off_0 on theBenchmark for (2995ds/161Mi)
% 0.68/0.83 % (22998)Instruction limit reached!
% 0.68/0.83 % (22998)------------------------------
% 0.68/0.83 % (22998)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.68/0.83 % (22998)Termination reason: Unknown
% 0.68/0.83 % (22998)Termination phase: Saturation
% 0.68/0.83
% 0.68/0.83 % (22998)Memory used [KB]: 3278
% 0.68/0.83 % (22998)Time elapsed: 0.044 s
% 0.68/0.83 % (22998)Instructions burned: 95 (million)
% 0.68/0.83 % (22998)------------------------------
% 0.68/0.83 % (22998)------------------------------
% 0.68/0.84 % (23010)lrs-1002_2:9_anc=none:sil=2000:plsqc=1:plsq=on:avsql=on:plsqr=2859761,1048576:erd=off:rp=on:nwc=21.7107:newcnf=on:avsq=on:i=69:aac=none:avsqr=6317,1048576:ep=RS:fsr=off:rawr=on:afp=50:afq=2.133940627822616:sac=on_0 on theBenchmark for (2995ds/69Mi)
% 0.68/0.84 % (23009)Refutation not found, incomplete strategy% (23009)------------------------------
% 0.68/0.84 % (23009)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.68/0.84 % (23009)Termination reason: Refutation not found, incomplete strategy
% 0.68/0.84
% 0.68/0.84 % (23009)Memory used [KB]: 1220
% 0.68/0.84 % (23009)Time elapsed: 0.034 s
% 0.68/0.84 % (23009)Instructions burned: 17 (million)
% 0.68/0.84 % (23009)------------------------------
% 0.68/0.84 % (23009)------------------------------
% 0.68/0.85 % (23011)lrs+1010_1:512_sil=8000:tgt=ground:spb=units:gs=on:lwlo=on:nicw=on:gsem=on:st=1.5:i=40:nm=21:ss=included:nwc=5.3:afp=4000:afq=1.38:ins=1:bs=unit_only:awrs=converge:awrsf=10:bce=on_0 on theBenchmark for (2995ds/40Mi)
% 0.68/0.85 % (23005)Instruction limit reached!
% 0.68/0.85 % (23005)------------------------------
% 0.68/0.85 % (23005)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.68/0.85 % (23005)Termination reason: Unknown
% 0.68/0.85 % (23005)Termination phase: Saturation
% 0.68/0.85
% 0.68/0.85 % (23005)Memory used [KB]: 3767
% 0.68/0.85 % (23005)Time elapsed: 0.032 s
% 0.68/0.85 % (23005)Instructions burned: 103 (million)
% 0.68/0.85 % (23005)------------------------------
% 0.68/0.85 % (23005)------------------------------
% 0.68/0.85 % (23012)ott+1011_1:3_drc=off:sil=4000:tgt=ground:fde=unused:plsq=on:sp=unary_first:fd=preordered:nwc=10.0:i=360:ins=1:rawr=on:bd=preordered_0 on theBenchmark for (2995ds/360Mi)
% 1.11/0.86 % (23011)Instruction limit reached!
% 1.11/0.86 % (23011)------------------------------
% 1.11/0.86 % (23011)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.11/0.86 % (23011)Termination reason: Unknown
% 1.11/0.86 % (23011)Termination phase: Saturation
% 1.11/0.86
% 1.11/0.86 % (23011)Memory used [KB]: 2310
% 1.11/0.86 % (23011)Time elapsed: 0.020 s
% 1.11/0.86 % (23011)Instructions burned: 40 (million)
% 1.11/0.86 % (23011)------------------------------
% 1.11/0.86 % (23011)------------------------------
% 1.11/0.87 % (23010)Refutation not found, incomplete strategy% (23010)------------------------------
% 1.11/0.87 % (23010)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.11/0.87 % (23010)Termination reason: Refutation not found, incomplete strategy
% 1.11/0.87
% 1.11/0.87 % (23010)Memory used [KB]: 1808
% 1.11/0.87 % (23010)Time elapsed: 0.028 s
% 1.11/0.87 % (23010)Instructions burned: 59 (million)
% 1.11/0.87 % (23010)------------------------------
% 1.11/0.87 % (23010)------------------------------
% 1.11/0.87 % (23007)Instruction limit reached!
% 1.11/0.87 % (23007)------------------------------
% 1.11/0.87 % (23007)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.11/0.87 % (23007)Termination reason: Unknown
% 1.11/0.87 % (23007)Termination phase: Saturation
% 1.11/0.87
% 1.11/0.87 % (23007)Memory used [KB]: 1693
% 1.11/0.87 % (23007)Time elapsed: 0.064 s
% 1.11/0.87 % (23007)Instructions burned: 87 (million)
% 1.11/0.87 % (23007)------------------------------
% 1.11/0.87 % (23007)------------------------------
% 1.11/0.87 % (23013)dis+10_1:4_to=lpo:sil=2000:sos=on:spb=goal:rp=on:sac=on:newcnf=on:i=161:ss=axioms:aac=none_0 on theBenchmark for (2995ds/161Mi)
% 1.11/0.87 % (23014)lrs+1011_1:20_sil=4000:tgt=ground:i=80:sd=1:bd=off:nm=32:av=off:ss=axioms:lsd=60_0 on theBenchmark for (2995ds/80Mi)
% 1.11/0.87 % (23008)Instruction limit reached!
% 1.11/0.87 % (23008)------------------------------
% 1.11/0.87 % (23008)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.11/0.87 % (23008)Termination reason: Unknown
% 1.11/0.87 % (23008)Termination phase: Saturation
% 1.11/0.87
% 1.11/0.87 % (23008)Memory used [KB]: 4837
% 1.11/0.87 % (23008)Time elapsed: 0.040 s
% 1.11/0.87 % (23008)Instructions burned: 109 (million)
% 1.11/0.87 % (23008)------------------------------
% 1.11/0.87 % (23008)------------------------------
% 1.11/0.87 % (23015)lrs+11_1:2_slsqr=1,2:sil=2000:sp=const_frequency:kmz=on:newcnf=on:slsq=on:i=37:s2at=1.5:awrs=converge:nm=2:uhcvi=on:ss=axioms:sgt=20:afp=10000:fs=off:fsr=off:bd=off:s2agt=5:fd=off:add=off:erd=off:foolp=on:nwc=10.0:rp=on_0 on theBenchmark for (2995ds/37Mi)
% 1.11/0.87 % (23016)lrs+1011_1:2_drc=encompass:sil=4000:fde=unused:sos=on:sac=on:newcnf=on:i=55:sd=10:bd=off:ins=1:uhcvi=on:ss=axioms:spb=non_intro:st=3.0:erd=off:s2a=on:nwc=3.0_0 on theBenchmark for (2994ds/55Mi)
% 1.11/0.88 % (22991)Instruction limit reached!
% 1.11/0.88 % (22991)------------------------------
% 1.11/0.88 % (22991)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.11/0.88 % (22991)Termination reason: Unknown
% 1.11/0.88 % (22991)Termination phase: Saturation
% 1.11/0.88
% 1.11/0.88 % (22991)Memory used [KB]: 2869
% 1.11/0.88 % (22991)Time elapsed: 0.111 s
% 1.11/0.88 % (22991)Instructions burned: 209 (million)
% 1.11/0.88 % (22991)------------------------------
% 1.11/0.88 % (22991)------------------------------
% 1.11/0.88 % (23017)dis-1011_1:32_to=lpo:drc=off:sil=2000:sp=reverse_arity:sos=on:foolp=on:lsd=20:nwc=1.49509792053687:s2agt=30:avsq=on:s2a=on:s2pl=no:i=47:s2at=5.0:avsqr=5593,1048576:nm=0:fsr=off:amm=sco:rawr=on:awrs=converge:awrsf=427:ss=included:sd=1:slsq=on:fd=off_0 on theBenchmark for (2994ds/47Mi)
% 1.37/0.89 % (23015)Instruction limit reached!
% 1.37/0.89 % (23015)------------------------------
% 1.37/0.89 % (23015)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.37/0.89 % (23015)Termination reason: Unknown
% 1.37/0.89 % (23015)Termination phase: Saturation
% 1.37/0.89
% 1.37/0.89 % (23015)Memory used [KB]: 2110
% 1.37/0.89 % (23015)Time elapsed: 0.018 s
% 1.37/0.89 % (23015)Instructions burned: 37 (million)
% 1.37/0.89 % (23015)------------------------------
% 1.37/0.89 % (23015)------------------------------
% 1.37/0.89 % (23016)Instruction limit reached!
% 1.37/0.89 % (23016)------------------------------
% 1.37/0.89 % (23016)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.37/0.89 % (23016)Termination reason: Unknown
% 1.37/0.89 % (23016)Termination phase: Saturation
% 1.37/0.89
% 1.37/0.89 % (23016)Memory used [KB]: 2256
% 1.37/0.89 % (23016)Time elapsed: 0.016 s
% 1.37/0.89 % (23016)Instructions burned: 56 (million)
% 1.37/0.89 % (23016)------------------------------
% 1.37/0.89 % (23016)------------------------------
% 1.37/0.89 % (23001)First to succeed.
% 1.37/0.89 % (23019)dis+1011_1:1_sil=4000:s2agt=4:slsqc=3:slsq=on:i=132:bd=off:av=off:sup=off:ss=axioms:st=3.0_0 on theBenchmark for (2994ds/132Mi)
% 1.37/0.89 % (23018)lrs+10_1:1024_sil=2000:st=2.0:i=32:sd=2:ss=included:ep=R_0 on theBenchmark for (2994ds/32Mi)
% 1.37/0.89 % (22995)Instruction limit reached!
% 1.37/0.89 % (22995)------------------------------
% 1.37/0.89 % (22995)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.37/0.89 % (22995)Termination reason: Unknown
% 1.37/0.89 % (22995)Termination phase: Saturation
% 1.37/0.89
% 1.37/0.89 % (22995)Memory used [KB]: 4604
% 1.37/0.89 % (22995)Time elapsed: 0.112 s
% 1.37/0.89 % (22995)Instructions burned: 243 (million)
% 1.37/0.89 % (22995)------------------------------
% 1.37/0.89 % (22995)------------------------------
% 1.37/0.90 % (23014)Instruction limit reached!
% 1.37/0.90 % (23014)------------------------------
% 1.37/0.90 % (23014)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.37/0.90 % (23014)Termination reason: Unknown
% 1.37/0.90 % (23014)Termination phase: Saturation
% 1.37/0.90
% 1.37/0.90 % (23014)Memory used [KB]: 1442
% 1.37/0.90 % (23014)Time elapsed: 0.027 s
% 1.37/0.90 % (23014)Instructions burned: 81 (million)
% 1.37/0.90 % (23014)------------------------------
% 1.37/0.90 % (23014)------------------------------
% 1.37/0.90 % (23020)dis-1011_1:1024_sil=2000:fde=unused:sos=on:nwc=10.0:i=54:uhcvi=on:ss=axioms:ep=RS:av=off:sp=occurrence:fsr=off:awrs=decay:awrsf=200_0 on theBenchmark for (2994ds/54Mi)
% 1.37/0.90 % (23001)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-22979"
% 1.37/0.90 % (23001)Refutation found. Thanks to Tanya!
% 1.37/0.90 % SZS status Theorem for theBenchmark
% 1.37/0.90 % SZS output start Proof for theBenchmark
% See solution above
% 1.37/0.90 % (23001)------------------------------
% 1.37/0.90 % (23001)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.37/0.90 % (23001)Termination reason: Refutation
% 1.37/0.90
% 1.37/0.90 % (23001)Memory used [KB]: 2125
% 1.37/0.90 % (23001)Time elapsed: 0.096 s
% 1.37/0.90 % (23001)Instructions burned: 214 (million)
% 1.37/0.90 % (22979)Success in time 0.528 s
% 1.37/0.90 % Vampire---4.8 exiting
%------------------------------------------------------------------------------