TSTP Solution File: ALG141+1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : ALG141+1 : TPTP v8.1.2. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n024.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Sun May 5 04:25:48 EDT 2024
% Result : Unsatisfiable 7.10s 1.41s
% Output : Refutation 7.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 167
% Syntax : Number of formulae : 3164 ( 109 unt; 0 def)
% Number of atoms : 15117 (5784 equ)
% Maximal formula atoms : 128 ( 4 avg)
% Number of connectives : 20180 (8227 ~;11641 |; 175 &)
% ( 137 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 49 ( 6 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 142 ( 140 usr; 141 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-2 aty)
% Number of variables : 0 ( 0 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f32792,plain,
$false,
inference(avatar_sat_refutation,[],[f255,f260,f265,f270,f275,f280,f285,f290,f295,f300,f305,f310,f315,f320,f325,f330,f335,f340,f345,f350,f355,f360,f365,f370,f375,f380,f385,f390,f395,f400,f405,f410,f415,f420,f425,f430,f435,f440,f445,f450,f455,f460,f465,f470,f475,f480,f485,f490,f495,f500,f505,f510,f515,f520,f529,f538,f547,f552,f557,f562,f567,f572,f577,f582,f587,f592,f597,f602,f607,f612,f625,f638,f651,f664,f677,f690,f703,f716,f729,f746,f756,f769,f783,f786,f812,f833,f837,f851,f855,f876,f880,f892,f901,f913,f917,f951,f962,f972,f1001,f1012,f1029,f1037,f1071,f1083,f1095,f1105,f1117,f1123,f1131,f1144,f1155,f1167,f1180,f1197,f1200,f1211,f1220,f1246,f1274,f1279,f1284,f1311,f1320,f1327,f1329,f1341,f1347,f1357,f1371,f1380,f1382,f1384,f1385,f1412,f1425,f1440,f1446,f1469,f1503,f1524,f1551,f1553,f1554,f1573,f1583,f1593,f1612,f1622,f1627,f1642,f1658,f1678,f1696,f1717,f1724,f1734,f1752,f1786,f1812,f1818,f1838,f1841,f1862,f1895,f1923,f1931,f1973,f2001,f2025,f2044,f2082,f2112,f2117,f2128,f2143,f2158,f2198,f2254,f2363,f2405,f2465,f2466,f2482,f2501,f2557,f2596,f2598,f2638,f2657,f2687,f2709,f2748,f2751,f2763,f2816,f2862,f2904,f2966,f2980,f3062,f3100,f3197,f3221,f3300,f3303,f3309,f3324,f3338,f3365,f3408,f3414,f3424,f3486,f3500,f3511,f3514,f3516,f3538,f3550,f3561,f3586,f3594,f3652,f3654,f3657,f3673,f3704,f3727,f3738,f3740,f3742,f3749,f3758,f3826,f3832,f3834,f3836,f3866,f3870,f3882,f3889,f3893,f3905,f3907,f3908,f3937,f3970,f3996,f4035,f4044,f4093,f4122,f4151,f4191,f4220,f4255,f4257,f4260,f4274,f4288,f4299,f4309,f4330,f4343,f4344,f4382,f4426,f4436,f4506,f4536,f4589,f4633,f4674,f4714,f4731,f4740,f4749,f4751,f4770,f4812,f4839,f4860,f4941,f4970,f4982,f5038,f5096,f5106,f5236,f5321,f5403,f5500,f5510,f5556,f5577,f5625,f5630,f5893,f5984,f6041,f6133,f6188,f6211,f6216,f6226,f6281,f6282,f6297,f6321,f6322,f6324,f6358,f6377,f6390,f6430,f6475,f6499,f6550,f6573,f6575,f6587,f6590,f6604,f6662,f6667,f6679,f6725,f6794,f6877,f7001,f7126,f7206,f7329,f7402,f7466,f7583,f7621,f7659,f7696,f7755,f7818,f7865,f7914,f7953,f7969,f8004,f8012,f8065,f8077,f8080,f8101,f8136,f8146,f8151,f8168,f8195,f8280,f8367,f8381,f8416,f8505,f8509,f8527,f8535,f8537,f8559,f8562,f8600,f8609,f8698,f8724,f8731,f8791,f8843,f8866,f8905,f8907,f8908,f8910,f8918,f8930,f8932,f9041,f9115,f9128,f9145,f9160,f9258,f9289,f9334,f9369,f9396,f9399,f9535,f9559,f9572,f9594,f9631,f9640,f9662,f9671,f9684,f9704,f9718,f9883,f9894,f9964,f10058,f10095,f10185,f10320,f10332,f10340,f10345,f10400,f10473,f10566,f10706,f10709,f10797,f10890,f10956,f11080,f11200,f11244,f11308,f11316,f11336,f11545,f11691,f11749,f11817,f11895,f11961,f11974,f12013,f12121,f12186,f12247,f12253,f12255,f12271,f12272,f12275,f12312,f12330,f12383,f12433,f12462,f12471,f12473,f12501,f12540,f12547,f12571,f12584,f12667,f12697,f12755,f12821,f12877,f12949,f12964,f13085,f13181,f13285,f13445,f13519,f13548,f13614,f13624,f13626,f13690,f13748,f13753,f13788,f13832,f13833,f13874,f13938,f13947,f13950,f14010,f14108,f14113,f14115,f14214,f14219,f14247,f14255,f14257,f14272,f14289,f14291,f14305,f14309,f14411,f14413,f14425,f14445,f14458,f14637,f14700,f14810,f14813,f14844,f14872,f14883,f15234,f15379,f15443,f15618,f15639,f15937,f16009,f16054,f16059,f16100,f16102,f16112,f16170,f16173,f16187,f16217,f16304,f16305,f16334,f16337,f16398,f16410,f16492,f16572,f16619,f16638,f16759,f16768,f16770,f16803,f16807,f16827,f16851,f16854,f16873,f16889,f16904,f16929,f16960,f16994,f17002,f17026,f17158,f17185,f17263,f17362,f17423,f17462,f17524,f17674,f17785,f17942,f18053,f18055,f18063,f18064,f18100,f18172,f18180,f18236,f18238,f18279,f18332,f18336,f18397,f18426,f18452,f18511,f18615,f18651,f18652,f18653,f18668,f18702,f18725,f18737,f18752,f18770,f18963,f19084,f19154,f19247,f19353,f19426,f19484,f19575,f19639,f19640,f19649,f19651,f19674,f19685,f19722,f19753,f19838,f19878,f19885,f19887,f19899,f19901,f19914,f19957,f19999,f20023,f20024,f20037,f20054,f20063,f20122,f20252,f20254,f20427,f20563,f20668,f20669,f20732,f20745,f20813,f20874,f20994,f20996,f21000,f21011,f21131,f21178,f21186,f21188,f21198,f21309,f21343,f21353,f21355,f21373,f21395,f21406,f21432,f21462,f21470,f21475,f21525,f21547,f21593,f21615,f21634,f21650,f21742,f21766,f21776,f21791,f21798,f21850,f21864,f22020,f22092,f22165,f22166,f22180,f22185,f22245,f22254,f22273,f22324,f22326,f22345,f22501,f22629,f22631,f22647,f22649,f22664,f22788,f22846,f22849,f22988,f23077,f23078,f23080,f23087,f23109,f23304,f23371,f23377,f23434,f23436,f23456,f23513,f23520,f23524,f23679,f23747,f23757,f23760,f23768,f23982,f24126,f24209,f24383,f24506,f24592,f24624,f24632,f24637,f24641,f24642,f24649,f24743,f24783,f24932,f24936,f24961,f25007,f25025,f25047,f25148,f25224,f25228,f25237,f25246,f25261,f25370,f25523,f25600,f25637,f25643,f25665,f25695,f25766,f25794,f25828,f25830,f25899,f25906,f26017,f26022,f26029,f26112,f26120,f26137,f26138,f26159,f26246,f26394,f26456,f26458,f26483,f26485,f26577,f26656,f26672,f26694,f26704,f26714,f26773,f26777,f26786,f26822,f26899,f26975,f27393,f27568,f27708,f27877,f27906,f27937,f27972,f28020,f28142,f28254,f28256,f28275,f28348,f28411,f28535,f28563,f28570,f28573,f28620,f28621,f28773,f28782,f28812,f28959,f29113,f29287,f29351,f29356,f29418,f29504,f29512,f29540,f29727,f29728,f29786,f29803,f29826,f29885,f29911,f29922,f29935,f29937,f29953,f29959,f30005,f30015,f30061,f30145,f30167,f30204,f30206,f30235,f30238,f30240,f30252,f30273,f30286,f30310,f30337,f30357,f30396,f30398,f30409,f30418,f30460,f30579,f30631,f30749,f30751,f30755,f30782,f30863,f30941,f30944,f30960,f31027,f31039,f31053,f31055,f31064,f31083,f31105,f31221,f31261,f31272,f31279,f31281,f31298,f31382,f31386,f31388,f31433,f31508,f31509,f31576,f31578,f31595,f31598,f31661,f31669,f31716,f31718,f31725,f32406,f32688,f32690,f32694,f32788,f32791]) ).
fof(f32791,plain,
( spl3_93
| spl3_3
| spl3_1
| ~ spl3_118
| ~ spl3_133
| ~ spl3_137 ),
inference(avatar_split_clause,[],[f32720,f3902,f1377,f873,f252,f262,f696]) ).
fof(f696,plain,
( spl3_93
<=> e0 = op(e3,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_93])]) ).
fof(f262,plain,
( spl3_3
<=> e0 = e3 ),
introduced(avatar_definition,[new_symbols(naming,[spl3_3])]) ).
fof(f252,plain,
( spl3_1
<=> e0 = e1 ),
introduced(avatar_definition,[new_symbols(naming,[spl3_1])]) ).
fof(f873,plain,
( spl3_118
<=> e3 = op(e3,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_118])]) ).
fof(f1377,plain,
( spl3_133
<=> e3 = op(e3,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_133])]) ).
fof(f3902,plain,
( spl3_137
<=> e1 = op(e3,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_137])]) ).
fof(f32720,plain,
( e0 = e1
| e0 = e3
| e0 = op(e3,e3)
| ~ spl3_118
| ~ spl3_133
| ~ spl3_137 ),
inference(forward_demodulation,[],[f21908,f3904]) ).
fof(f3904,plain,
( e1 = op(e3,e1)
| ~ spl3_137 ),
inference(avatar_component_clause,[],[f3902]) ).
fof(f21908,plain,
( e0 = e3
| e0 = op(e3,e3)
| e0 = op(e3,e1)
| ~ spl3_118
| ~ spl3_133 ),
inference(duplicate_literal_removal,[],[f21907]) ).
fof(f21907,plain,
( e0 = e3
| e0 = e3
| e0 = op(e3,e3)
| e0 = op(e3,e1)
| ~ spl3_118
| ~ spl3_133 ),
inference(forward_demodulation,[],[f3767,f1379]) ).
fof(f1379,plain,
( e3 = op(e3,e2)
| ~ spl3_133 ),
inference(avatar_component_clause,[],[f1377]) ).
fof(f3767,plain,
( e0 = e3
| e0 = op(e3,e3)
| e0 = op(e3,e2)
| e0 = op(e3,e1)
| ~ spl3_118 ),
inference(forward_demodulation,[],[f139,f875]) ).
fof(f875,plain,
( e3 = op(e3,e0)
| ~ spl3_118 ),
inference(avatar_component_clause,[],[f873]) ).
fof(f139,plain,
( e0 = op(e3,e3)
| e0 = op(e3,e2)
| e0 = op(e3,e1)
| e0 = op(e3,e0) ),
inference(cnf_transformation,[],[f2]) ).
fof(f2,axiom,
( ( e3 = op(e3,e3)
| e3 = op(e2,e3)
| e3 = op(e1,e3)
| e3 = op(e0,e3) )
& ( e3 = op(e3,e3)
| e3 = op(e3,e2)
| e3 = op(e3,e1)
| e3 = op(e3,e0) )
& ( e2 = op(e3,e3)
| e2 = op(e2,e3)
| e2 = op(e1,e3)
| e2 = op(e0,e3) )
& ( e2 = op(e3,e3)
| e2 = op(e3,e2)
| e2 = op(e3,e1)
| e2 = op(e3,e0) )
& ( e1 = op(e3,e3)
| e1 = op(e2,e3)
| e1 = op(e1,e3)
| e1 = op(e0,e3) )
& ( e1 = op(e3,e3)
| e1 = op(e3,e2)
| e1 = op(e3,e1)
| e1 = op(e3,e0) )
& ( e0 = op(e3,e3)
| e0 = op(e2,e3)
| e0 = op(e1,e3)
| e0 = op(e0,e3) )
& ( e0 = op(e3,e3)
| e0 = op(e3,e2)
| e0 = op(e3,e1)
| e0 = op(e3,e0) )
& ( e3 = op(e3,e2)
| e3 = op(e2,e2)
| e3 = op(e1,e2)
| e3 = op(e0,e2) )
& ( e3 = op(e2,e3)
| e3 = op(e2,e2)
| e3 = op(e2,e1)
| e3 = op(e2,e0) )
& ( e2 = op(e3,e2)
| e2 = op(e2,e2)
| e2 = op(e1,e2)
| e2 = op(e0,e2) )
& ( e2 = op(e2,e3)
| e2 = op(e2,e2)
| e2 = op(e2,e1)
| e2 = op(e2,e0) )
& ( e1 = op(e3,e2)
| e1 = op(e2,e2)
| e1 = op(e1,e2)
| e1 = op(e0,e2) )
& ( e1 = op(e2,e3)
| e1 = op(e2,e2)
| e1 = op(e2,e1)
| e1 = op(e2,e0) )
& ( e0 = op(e3,e2)
| e0 = op(e2,e2)
| e0 = op(e1,e2)
| e0 = op(e0,e2) )
& ( e0 = op(e2,e3)
| e0 = op(e2,e2)
| e0 = op(e2,e1)
| e0 = op(e2,e0) )
& ( e3 = op(e3,e1)
| e3 = op(e2,e1)
| e3 = op(e1,e1)
| e3 = op(e0,e1) )
& ( e3 = op(e1,e3)
| e3 = op(e1,e2)
| e3 = op(e1,e1)
| e3 = op(e1,e0) )
& ( e2 = op(e3,e1)
| e2 = op(e2,e1)
| e2 = op(e1,e1)
| e2 = op(e0,e1) )
& ( e2 = op(e1,e3)
| e2 = op(e1,e2)
| e2 = op(e1,e1)
| e2 = op(e1,e0) )
& ( e1 = op(e3,e1)
| e1 = op(e2,e1)
| e1 = op(e1,e1)
| e1 = op(e0,e1) )
& ( e1 = op(e1,e3)
| e1 = op(e1,e2)
| e1 = op(e1,e1)
| e1 = op(e1,e0) )
& ( e0 = op(e3,e1)
| e0 = op(e2,e1)
| e0 = op(e1,e1)
| e0 = op(e0,e1) )
& ( e0 = op(e1,e3)
| e0 = op(e1,e2)
| e0 = op(e1,e1)
| e0 = op(e1,e0) )
& ( e3 = op(e3,e0)
| e3 = op(e2,e0)
| e3 = op(e1,e0)
| op(e0,e0) = e3 )
& ( e3 = op(e0,e3)
| e3 = op(e0,e2)
| e3 = op(e0,e1)
| op(e0,e0) = e3 )
& ( e2 = op(e3,e0)
| e2 = op(e2,e0)
| e2 = op(e1,e0)
| op(e0,e0) = e2 )
& ( e2 = op(e0,e3)
| e2 = op(e0,e2)
| e2 = op(e0,e1)
| op(e0,e0) = e2 )
& ( e1 = op(e3,e0)
| e1 = op(e2,e0)
| e1 = op(e1,e0)
| op(e0,e0) = e1 )
& ( e1 = op(e0,e3)
| e1 = op(e0,e2)
| e1 = op(e0,e1)
| op(e0,e0) = e1 )
& ( e0 = op(e3,e0)
| e0 = op(e2,e0)
| e0 = op(e1,e0)
| e0 = op(e0,e0) )
& ( e0 = op(e0,e3)
| e0 = op(e0,e2)
| e0 = op(e0,e1)
| e0 = op(e0,e0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax2) ).
fof(f32788,plain,
( ~ spl3_93
| spl3_61
| ~ spl3_118 ),
inference(avatar_split_clause,[],[f29904,f873,f549,f696]) ).
fof(f549,plain,
( spl3_61
<=> e0 = op(op(e3,e0),op(e3,e0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_61])]) ).
fof(f29904,plain,
( e0 != op(e3,e3)
| spl3_61
| ~ spl3_118 ),
inference(forward_demodulation,[],[f550,f875]) ).
fof(f550,plain,
( e0 != op(op(e3,e0),op(e3,e0))
| spl3_61 ),
inference(avatar_component_clause,[],[f549]) ).
fof(f32694,plain,
( spl3_3
| spl3_5
| spl3_6
| ~ spl3_76
| ~ spl3_89
| ~ spl3_93
| ~ spl3_111 ),
inference(avatar_split_clause,[],[f13419,f809,f696,f679,f622,f277,f272,f262]) ).
fof(f272,plain,
( spl3_5
<=> e1 = e3 ),
introduced(avatar_definition,[new_symbols(naming,[spl3_5])]) ).
fof(f277,plain,
( spl3_6
<=> e2 = e3 ),
introduced(avatar_definition,[new_symbols(naming,[spl3_6])]) ).
fof(f622,plain,
( spl3_76
<=> e2 = op(e0,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_76])]) ).
fof(f679,plain,
( spl3_89
<=> e0 = op(e1,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_89])]) ).
fof(f809,plain,
( spl3_111
<=> e1 = op(e2,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_111])]) ).
fof(f13419,plain,
( e2 = e3
| e1 = e3
| e0 = e3
| ~ spl3_76
| ~ spl3_89
| ~ spl3_93
| ~ spl3_111 ),
inference(forward_demodulation,[],[f13418,f623]) ).
fof(f623,plain,
( e2 = op(e0,e3)
| ~ spl3_76 ),
inference(avatar_component_clause,[],[f622]) ).
fof(f13418,plain,
( e1 = e3
| e0 = e3
| e3 = op(e0,e3)
| ~ spl3_89
| ~ spl3_93
| ~ spl3_111 ),
inference(forward_demodulation,[],[f10839,f811]) ).
fof(f811,plain,
( e1 = op(e2,e3)
| ~ spl3_111 ),
inference(avatar_component_clause,[],[f809]) ).
fof(f10839,plain,
( e0 = e3
| e3 = op(e2,e3)
| e3 = op(e0,e3)
| ~ spl3_89
| ~ spl3_93 ),
inference(duplicate_literal_removal,[],[f10838]) ).
fof(f10838,plain,
( e0 = e3
| e0 = e3
| e3 = op(e2,e3)
| e3 = op(e0,e3)
| ~ spl3_89
| ~ spl3_93 ),
inference(forward_demodulation,[],[f10486,f680]) ).
fof(f680,plain,
( e0 = op(e1,e3)
| ~ spl3_89 ),
inference(avatar_component_clause,[],[f679]) ).
fof(f10486,plain,
( e0 = e3
| e3 = op(e2,e3)
| e3 = op(e1,e3)
| e3 = op(e0,e3)
| ~ spl3_93 ),
inference(forward_demodulation,[],[f146,f697]) ).
fof(f697,plain,
( e0 = op(e3,e3)
| ~ spl3_93 ),
inference(avatar_component_clause,[],[f696]) ).
fof(f146,plain,
( e3 = op(e3,e3)
| e3 = op(e2,e3)
| e3 = op(e1,e3)
| e3 = op(e0,e3) ),
inference(cnf_transformation,[],[f2]) ).
fof(f32690,plain,
( spl3_99
| ~ spl3_60
| ~ spl3_105 ),
inference(avatar_split_clause,[],[f32314,f749,f544,f722]) ).
fof(f722,plain,
( spl3_99
<=> e0 = op(e1,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_99])]) ).
fof(f544,plain,
( spl3_60
<=> e0 = op(op(e0,e0),op(e0,e0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_60])]) ).
fof(f749,plain,
( spl3_105
<=> op(e0,e0) = e1 ),
introduced(avatar_definition,[new_symbols(naming,[spl3_105])]) ).
fof(f32314,plain,
( e0 = op(e1,e1)
| ~ spl3_60
| ~ spl3_105 ),
inference(forward_demodulation,[],[f546,f751]) ).
fof(f751,plain,
( op(e0,e0) = e1
| ~ spl3_105 ),
inference(avatar_component_clause,[],[f749]) ).
fof(f546,plain,
( e0 = op(op(e0,e0),op(e0,e0))
| ~ spl3_60 ),
inference(avatar_component_clause,[],[f544]) ).
fof(f32688,plain,
( ~ spl3_81
| spl3_68
| ~ spl3_133 ),
inference(avatar_split_clause,[],[f27795,f1377,f584,f644]) ).
fof(f644,plain,
( spl3_81
<=> e2 = op(e3,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_81])]) ).
fof(f584,plain,
( spl3_68
<=> e2 = op(op(e3,e2),op(e3,e2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_68])]) ).
fof(f27795,plain,
( e2 != op(e3,e3)
| spl3_68
| ~ spl3_133 ),
inference(forward_demodulation,[],[f585,f1379]) ).
fof(f585,plain,
( e2 != op(op(e3,e2),op(e3,e2))
| spl3_68 ),
inference(avatar_component_clause,[],[f584]) ).
fof(f32406,plain,
( spl3_5
| ~ spl3_73
| ~ spl3_89
| ~ spl3_105 ),
inference(avatar_split_clause,[],[f31833,f749,f679,f609,f272]) ).
fof(f609,plain,
( spl3_73
<=> e3 = op(op(e1,e3),op(e1,e3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_73])]) ).
fof(f31833,plain,
( e1 = e3
| ~ spl3_73
| ~ spl3_89
| ~ spl3_105 ),
inference(forward_demodulation,[],[f27351,f751]) ).
fof(f27351,plain,
( op(e0,e0) = e3
| ~ spl3_73
| ~ spl3_89 ),
inference(forward_demodulation,[],[f611,f680]) ).
fof(f611,plain,
( e3 = op(op(e1,e3),op(e1,e3))
| ~ spl3_73 ),
inference(avatar_component_clause,[],[f609]) ).
fof(f31725,plain,
( spl3_125
| spl3_121
| spl3_1
| spl3_2
| ~ spl3_105
| ~ spl3_112 ),
inference(avatar_split_clause,[],[f14149,f826,f749,f257,f252,f948,f1152]) ).
fof(f1152,plain,
( spl3_125
<=> e0 = op(e1,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_125])]) ).
fof(f948,plain,
( spl3_121
<=> e0 = op(e3,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_121])]) ).
fof(f257,plain,
( spl3_2
<=> e0 = e2 ),
introduced(avatar_definition,[new_symbols(naming,[spl3_2])]) ).
fof(f826,plain,
( spl3_112
<=> e2 = op(e2,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_112])]) ).
fof(f14149,plain,
( e0 = e2
| e0 = e1
| e0 = op(e3,e0)
| e0 = op(e1,e0)
| ~ spl3_105
| ~ spl3_112 ),
inference(forward_demodulation,[],[f11207,f828]) ).
fof(f828,plain,
( e2 = op(e2,e0)
| ~ spl3_112 ),
inference(avatar_component_clause,[],[f826]) ).
fof(f11207,plain,
( e0 = e1
| e0 = op(e3,e0)
| e0 = op(e2,e0)
| e0 = op(e1,e0)
| ~ spl3_105 ),
inference(forward_demodulation,[],[f116,f751]) ).
fof(f116,plain,
( e0 = op(e3,e0)
| e0 = op(e2,e0)
| e0 = op(e1,e0)
| e0 = op(e0,e0) ),
inference(cnf_transformation,[],[f2]) ).
fof(f31718,plain,
( spl3_126
| spl3_6
| spl3_2
| ~ spl3_80
| ~ spl3_97
| ~ spl3_103 ),
inference(avatar_split_clause,[],[f31624,f739,f713,f640,f257,f277,f1164]) ).
fof(f1164,plain,
( spl3_126
<=> e2 = op(e2,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_126])]) ).
fof(f640,plain,
( spl3_80
<=> e0 = op(e3,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_80])]) ).
fof(f713,plain,
( spl3_97
<=> e3 = op(e1,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_97])]) ).
fof(f739,plain,
( spl3_103
<=> e0 = op(e0,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_103])]) ).
fof(f31624,plain,
( e0 = e2
| e2 = e3
| e2 = op(e2,e2)
| ~ spl3_80
| ~ spl3_97
| ~ spl3_103 ),
inference(duplicate_literal_removal,[],[f31623]) ).
fof(f31623,plain,
( e0 = e2
| e0 = e2
| e2 = e3
| e2 = op(e2,e2)
| ~ spl3_80
| ~ spl3_97
| ~ spl3_103 ),
inference(forward_demodulation,[],[f31309,f641]) ).
fof(f641,plain,
( e0 = op(e3,e2)
| ~ spl3_80 ),
inference(avatar_component_clause,[],[f640]) ).
fof(f31309,plain,
( e0 = e2
| e2 = e3
| e2 = op(e3,e2)
| e2 = op(e2,e2)
| ~ spl3_97
| ~ spl3_103 ),
inference(forward_demodulation,[],[f31308,f741]) ).
fof(f741,plain,
( e0 = op(e0,e2)
| ~ spl3_103 ),
inference(avatar_component_clause,[],[f739]) ).
fof(f31308,plain,
( e2 = e3
| e2 = op(e3,e2)
| e2 = op(e2,e2)
| e2 = op(e0,e2)
| ~ spl3_97 ),
inference(forward_demodulation,[],[f136,f714]) ).
fof(f714,plain,
( e3 = op(e1,e2)
| ~ spl3_97 ),
inference(avatar_component_clause,[],[f713]) ).
fof(f136,plain,
( e2 = op(e3,e2)
| e2 = op(e2,e2)
| e2 = op(e1,e2)
| e2 = op(e0,e2) ),
inference(cnf_transformation,[],[f2]) ).
fof(f31716,plain,
( ~ spl3_79
| spl3_19
| ~ spl3_97 ),
inference(avatar_split_clause,[],[f25588,f713,f342,f635]) ).
fof(f635,plain,
( spl3_79
<=> e3 = op(e0,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_79])]) ).
fof(f342,plain,
( spl3_19
<=> op(e0,e2) = op(e1,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_19])]) ).
fof(f25588,plain,
( e3 != op(e0,e2)
| spl3_19
| ~ spl3_97 ),
inference(superposition,[],[f344,f714]) ).
fof(f344,plain,
( op(e0,e2) != op(e1,e2)
| spl3_19 ),
inference(avatar_component_clause,[],[f342]) ).
fof(f31669,plain,
( spl3_121
| spl3_2
| spl3_1
| ~ spl3_105
| ~ spl3_107
| ~ spl3_112 ),
inference(avatar_split_clause,[],[f31617,f826,f766,f749,f252,f257,f948]) ).
fof(f766,plain,
( spl3_107
<=> e1 = op(e1,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_107])]) ).
fof(f31617,plain,
( e0 = e1
| e0 = e2
| e0 = op(e3,e0)
| ~ spl3_105
| ~ spl3_107
| ~ spl3_112 ),
inference(duplicate_literal_removal,[],[f31616]) ).
fof(f31616,plain,
( e0 = e1
| e0 = e2
| e0 = e1
| e0 = op(e3,e0)
| ~ spl3_105
| ~ spl3_107
| ~ spl3_112 ),
inference(forward_demodulation,[],[f31615,f751]) ).
fof(f31615,plain,
( e0 = e2
| e0 = e1
| e0 = op(e3,e0)
| e0 = op(e0,e0)
| ~ spl3_107
| ~ spl3_112 ),
inference(forward_demodulation,[],[f25060,f828]) ).
fof(f25060,plain,
( e0 = e1
| e0 = op(e3,e0)
| e0 = op(e2,e0)
| e0 = op(e0,e0)
| ~ spl3_107 ),
inference(forward_demodulation,[],[f116,f768]) ).
fof(f768,plain,
( e1 = op(e1,e0)
| ~ spl3_107 ),
inference(avatar_component_clause,[],[f766]) ).
fof(f31661,plain,
( spl3_99
| ~ spl3_58
| ~ spl3_107 ),
inference(avatar_split_clause,[],[f22773,f766,f535,f722]) ).
fof(f535,plain,
( spl3_58
<=> e0 = op(op(e1,e0),op(e1,e0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_58])]) ).
fof(f22773,plain,
( e0 = op(e1,e1)
| ~ spl3_58
| ~ spl3_107 ),
inference(forward_demodulation,[],[f537,f768]) ).
fof(f537,plain,
( e0 = op(op(e1,e0),op(e1,e0))
| ~ spl3_58 ),
inference(avatar_component_clause,[],[f535]) ).
fof(f31598,plain,
( spl3_96
| spl3_86
| spl3_2
| ~ spl3_112
| ~ spl3_130 ),
inference(avatar_split_clause,[],[f25833,f1267,f826,f257,f666,f709]) ).
fof(f709,plain,
( spl3_96
<=> e0 = op(e2,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_96])]) ).
fof(f666,plain,
( spl3_86
<=> e0 = op(e2,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_86])]) ).
fof(f1267,plain,
( spl3_130
<=> e2 = op(e2,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_130])]) ).
fof(f25833,plain,
( e0 = e2
| e0 = op(e2,e3)
| e0 = op(e2,e2)
| ~ spl3_112
| ~ spl3_130 ),
inference(duplicate_literal_removal,[],[f21039]) ).
fof(f21039,plain,
( e0 = e2
| e0 = e2
| e0 = op(e2,e3)
| e0 = op(e2,e2)
| ~ spl3_112
| ~ spl3_130 ),
inference(forward_demodulation,[],[f20153,f828]) ).
fof(f20153,plain,
( e0 = e2
| e0 = op(e2,e3)
| e0 = op(e2,e2)
| e0 = op(e2,e0)
| ~ spl3_130 ),
inference(forward_demodulation,[],[f131,f1269]) ).
fof(f1269,plain,
( e2 = op(e2,e1)
| ~ spl3_130 ),
inference(avatar_component_clause,[],[f1267]) ).
fof(f131,plain,
( e0 = op(e2,e3)
| e0 = op(e2,e2)
| e0 = op(e2,e1)
| e0 = op(e2,e0) ),
inference(cnf_transformation,[],[f2]) ).
fof(f31595,plain,
( ~ spl3_85
| spl3_35
| ~ spl3_115 ),
inference(avatar_split_clause,[],[f14398,f848,f422,f661]) ).
fof(f661,plain,
( spl3_85
<=> e3 = op(e0,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_85])]) ).
fof(f422,plain,
( spl3_35
<=> op(e0,e1) = op(e0,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_35])]) ).
fof(f848,plain,
( spl3_115
<=> e3 = op(e0,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_115])]) ).
fof(f14398,plain,
( e3 != op(e0,e1)
| spl3_35
| ~ spl3_115 ),
inference(superposition,[],[f424,f850]) ).
fof(f850,plain,
( e3 = op(e0,e3)
| ~ spl3_115 ),
inference(avatar_component_clause,[],[f848]) ).
fof(f424,plain,
( op(e0,e1) != op(e0,e3)
| spl3_35 ),
inference(avatar_component_clause,[],[f422]) ).
fof(f31578,plain,
( spl3_111
| spl3_1
| spl3_4
| ~ spl3_96
| ~ spl3_112
| ~ spl3_130 ),
inference(avatar_split_clause,[],[f31533,f1267,f826,f709,f267,f252,f809]) ).
fof(f267,plain,
( spl3_4
<=> e1 = e2 ),
introduced(avatar_definition,[new_symbols(naming,[spl3_4])]) ).
fof(f31533,plain,
( e1 = e2
| e0 = e1
| e1 = op(e2,e3)
| ~ spl3_96
| ~ spl3_112
| ~ spl3_130 ),
inference(duplicate_literal_removal,[],[f31532]) ).
fof(f31532,plain,
( e1 = e2
| e1 = e2
| e0 = e1
| e1 = op(e2,e3)
| ~ spl3_96
| ~ spl3_112
| ~ spl3_130 ),
inference(forward_demodulation,[],[f26076,f828]) ).
fof(f26076,plain,
( e1 = e2
| e0 = e1
| e1 = op(e2,e3)
| e1 = op(e2,e0)
| ~ spl3_96
| ~ spl3_130 ),
inference(forward_demodulation,[],[f12278,f1269]) ).
fof(f12278,plain,
( e0 = e1
| e1 = op(e2,e3)
| e1 = op(e2,e1)
| e1 = op(e2,e0)
| ~ spl3_96 ),
inference(forward_demodulation,[],[f133,f710]) ).
fof(f710,plain,
( e0 = op(e2,e2)
| ~ spl3_96 ),
inference(avatar_component_clause,[],[f709]) ).
fof(f133,plain,
( e1 = op(e2,e3)
| e1 = op(e2,e2)
| e1 = op(e2,e1)
| e1 = op(e2,e0) ),
inference(cnf_transformation,[],[f2]) ).
fof(f31576,plain,
( ~ spl3_96
| spl3_56
| ~ spl3_112 ),
inference(avatar_split_clause,[],[f31473,f826,f526,f709]) ).
fof(f526,plain,
( spl3_56
<=> e0 = op(op(e2,e0),op(e2,e0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_56])]) ).
fof(f31473,plain,
( e0 != op(e2,e2)
| spl3_56
| ~ spl3_112 ),
inference(forward_demodulation,[],[f527,f828]) ).
fof(f527,plain,
( e0 != op(op(e2,e0),op(e2,e0))
| spl3_56 ),
inference(avatar_component_clause,[],[f526]) ).
fof(f31509,plain,
( spl3_87
| spl3_5
| spl3_6
| ~ spl3_111
| ~ spl3_112
| ~ spl3_130 ),
inference(avatar_split_clause,[],[f31456,f1267,f826,f809,f277,f272,f670]) ).
fof(f670,plain,
( spl3_87
<=> e3 = op(e2,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_87])]) ).
fof(f31456,plain,
( e2 = e3
| e1 = e3
| e3 = op(e2,e2)
| ~ spl3_111
| ~ spl3_112
| ~ spl3_130 ),
inference(duplicate_literal_removal,[],[f31455]) ).
fof(f31455,plain,
( e2 = e3
| e2 = e3
| e1 = e3
| e3 = op(e2,e2)
| ~ spl3_111
| ~ spl3_112
| ~ spl3_130 ),
inference(forward_demodulation,[],[f26419,f1269]) ).
fof(f26419,plain,
( e2 = e3
| e1 = e3
| e3 = op(e2,e2)
| e3 = op(e2,e1)
| ~ spl3_111
| ~ spl3_112 ),
inference(forward_demodulation,[],[f26280,f828]) ).
fof(f26280,plain,
( e1 = e3
| e3 = op(e2,e2)
| e3 = op(e2,e1)
| e3 = op(e2,e0)
| ~ spl3_111 ),
inference(forward_demodulation,[],[f137,f811]) ).
fof(f137,plain,
( e3 = op(e2,e3)
| e3 = op(e2,e2)
| e3 = op(e2,e1)
| e3 = op(e2,e0) ),
inference(cnf_transformation,[],[f2]) ).
fof(f31508,plain,
( ~ spl3_98
| spl3_10
| ~ spl3_112 ),
inference(avatar_split_clause,[],[f28755,f826,f297,f718]) ).
fof(f718,plain,
( spl3_98
<=> e2 = op(e1,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_98])]) ).
fof(f297,plain,
( spl3_10
<=> op(e1,e0) = op(e2,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_10])]) ).
fof(f28755,plain,
( e2 != op(e1,e0)
| spl3_10
| ~ spl3_112 ),
inference(superposition,[],[f299,f828]) ).
fof(f299,plain,
( op(e1,e0) != op(e2,e0)
| spl3_10 ),
inference(avatar_component_clause,[],[f297]) ).
fof(f31433,plain,
( spl3_137
| spl3_1
| spl3_5
| ~ spl3_77
| ~ spl3_85
| ~ spl3_99 ),
inference(avatar_split_clause,[],[f31399,f722,f661,f627,f272,f252,f3902]) ).
fof(f627,plain,
( spl3_77
<=> e0 = op(e2,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_77])]) ).
fof(f31399,plain,
( e1 = e3
| e0 = e1
| e1 = op(e3,e1)
| ~ spl3_77
| ~ spl3_85
| ~ spl3_99 ),
inference(forward_demodulation,[],[f30868,f662]) ).
fof(f662,plain,
( e3 = op(e0,e1)
| ~ spl3_85 ),
inference(avatar_component_clause,[],[f661]) ).
fof(f30868,plain,
( e0 = e1
| e1 = op(e3,e1)
| e1 = op(e0,e1)
| ~ spl3_77
| ~ spl3_99 ),
inference(duplicate_literal_removal,[],[f30762]) ).
fof(f30762,plain,
( e0 = e1
| e0 = e1
| e1 = op(e3,e1)
| e1 = op(e0,e1)
| ~ spl3_77
| ~ spl3_99 ),
inference(forward_demodulation,[],[f18254,f628]) ).
fof(f628,plain,
( e0 = op(e2,e1)
| ~ spl3_77 ),
inference(avatar_component_clause,[],[f627]) ).
fof(f18254,plain,
( e0 = e1
| e1 = op(e3,e1)
| e1 = op(e2,e1)
| e1 = op(e0,e1)
| ~ spl3_99 ),
inference(forward_demodulation,[],[f126,f723]) ).
fof(f723,plain,
( e0 = op(e1,e1)
| ~ spl3_99 ),
inference(avatar_component_clause,[],[f722]) ).
fof(f126,plain,
( e1 = op(e3,e1)
| e1 = op(e2,e1)
| e1 = op(e1,e1)
| e1 = op(e0,e1) ),
inference(cnf_transformation,[],[f2]) ).
fof(f31388,plain,
( spl3_126
| spl3_4
| spl3_6
| spl3_2
| ~ spl3_97
| ~ spl3_103
| ~ spl3_134 ),
inference(avatar_split_clause,[],[f31320,f1835,f739,f713,f257,f277,f267,f1164]) ).
fof(f1835,plain,
( spl3_134
<=> e1 = op(e3,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_134])]) ).
fof(f31320,plain,
( e0 = e2
| e2 = e3
| e1 = e2
| e2 = op(e2,e2)
| ~ spl3_97
| ~ spl3_103
| ~ spl3_134 ),
inference(forward_demodulation,[],[f31319,f741]) ).
fof(f31319,plain,
( e2 = e3
| e1 = e2
| e2 = op(e2,e2)
| e2 = op(e0,e2)
| ~ spl3_97
| ~ spl3_134 ),
inference(forward_demodulation,[],[f29732,f714]) ).
fof(f29732,plain,
( e1 = e2
| e2 = op(e2,e2)
| e2 = op(e1,e2)
| e2 = op(e0,e2)
| ~ spl3_134 ),
inference(forward_demodulation,[],[f136,f1836]) ).
fof(f1836,plain,
( e1 = op(e3,e2)
| ~ spl3_134 ),
inference(avatar_component_clause,[],[f1835]) ).
fof(f31386,plain,
( ~ spl3_91
| spl3_15
| ~ spl3_131 ),
inference(avatar_split_clause,[],[f26966,f1271,f322,f687]) ).
fof(f687,plain,
( spl3_91
<=> e2 = op(e0,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_91])]) ).
fof(f322,plain,
( spl3_15
<=> op(e0,e1) = op(e3,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_15])]) ).
fof(f1271,plain,
( spl3_131
<=> e2 = op(e3,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_131])]) ).
fof(f26966,plain,
( e2 != op(e0,e1)
| spl3_15
| ~ spl3_131 ),
inference(superposition,[],[f324,f1273]) ).
fof(f1273,plain,
( e2 = op(e3,e1)
| ~ spl3_131 ),
inference(avatar_component_clause,[],[f1271]) ).
fof(f324,plain,
( op(e0,e1) != op(e3,e1)
| spl3_15 ),
inference(avatar_component_clause,[],[f322]) ).
fof(f31382,plain,
( ~ spl3_75
| spl3_63
| ~ spl3_85 ),
inference(avatar_split_clause,[],[f26223,f661,f559,f618]) ).
fof(f618,plain,
( spl3_75
<=> e1 = op(e3,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_75])]) ).
fof(f559,plain,
( spl3_63
<=> e1 = op(op(e0,e1),op(e0,e1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_63])]) ).
fof(f26223,plain,
( e1 != op(e3,e3)
| spl3_63
| ~ spl3_85 ),
inference(forward_demodulation,[],[f560,f662]) ).
fof(f560,plain,
( e1 != op(op(e0,e1),op(e0,e1))
| spl3_63 ),
inference(avatar_component_clause,[],[f559]) ).
fof(f31298,plain,
( spl3_125
| ~ spl3_89
| ~ spl3_94
| ~ spl3_98 ),
inference(avatar_split_clause,[],[f26892,f718,f700,f679,f1152]) ).
fof(f700,plain,
( spl3_94
<=> e2 = op(e1,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_94])]) ).
fof(f26892,plain,
( e0 = op(e1,e0)
| ~ spl3_89
| ~ spl3_94
| ~ spl3_98 ),
inference(forward_demodulation,[],[f719,f26804]) ).
fof(f26804,plain,
( e0 = e2
| ~ spl3_89
| ~ spl3_94 ),
inference(superposition,[],[f680,f701]) ).
fof(f701,plain,
( e2 = op(e1,e3)
| ~ spl3_94 ),
inference(avatar_component_clause,[],[f700]) ).
fof(f719,plain,
( e2 = op(e1,e0)
| ~ spl3_98 ),
inference(avatar_component_clause,[],[f718]) ).
fof(f31281,plain,
( spl3_89
| spl3_2
| spl3_3
| spl3_1
| ~ spl3_97
| ~ spl3_98
| ~ spl3_128 ),
inference(avatar_split_clause,[],[f31150,f1190,f718,f713,f252,f262,f257,f679]) ).
fof(f1190,plain,
( spl3_128
<=> e1 = op(e1,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_128])]) ).
fof(f31150,plain,
( e0 = e1
| e0 = e3
| e0 = e2
| e0 = op(e1,e3)
| ~ spl3_97
| ~ spl3_98
| ~ spl3_128 ),
inference(forward_demodulation,[],[f26058,f1192]) ).
fof(f1192,plain,
( e1 = op(e1,e1)
| ~ spl3_128 ),
inference(avatar_component_clause,[],[f1190]) ).
fof(f26058,plain,
( e0 = e3
| e0 = e2
| e0 = op(e1,e3)
| e0 = op(e1,e1)
| ~ spl3_97
| ~ spl3_98 ),
inference(forward_demodulation,[],[f17398,f714]) ).
fof(f17398,plain,
( e0 = e2
| e0 = op(e1,e3)
| e0 = op(e1,e2)
| e0 = op(e1,e1)
| ~ spl3_98 ),
inference(forward_demodulation,[],[f123,f719]) ).
fof(f123,plain,
( e0 = op(e1,e3)
| e0 = op(e1,e2)
| e0 = op(e1,e1)
| e0 = op(e1,e0) ),
inference(cnf_transformation,[],[f2]) ).
fof(f31279,plain,
( ~ spl3_99
| spl3_60
| ~ spl3_105 ),
inference(avatar_split_clause,[],[f14177,f749,f544,f722]) ).
fof(f14177,plain,
( e0 != op(e1,e1)
| spl3_60
| ~ spl3_105 ),
inference(superposition,[],[f545,f751]) ).
fof(f545,plain,
( e0 != op(op(e0,e0),op(e0,e0))
| spl3_60 ),
inference(avatar_component_clause,[],[f544]) ).
fof(f31272,plain,
( spl3_134
| spl3_1
| spl3_5
| ~ spl3_73
| ~ spl3_94
| ~ spl3_97
| ~ spl3_103 ),
inference(avatar_split_clause,[],[f31149,f739,f713,f700,f609,f272,f252,f1835]) ).
fof(f31149,plain,
( e1 = e3
| e0 = e1
| e1 = op(e3,e2)
| ~ spl3_73
| ~ spl3_94
| ~ spl3_97
| ~ spl3_103 ),
inference(duplicate_literal_removal,[],[f31148]) ).
fof(f31148,plain,
( e1 = e3
| e1 = e3
| e0 = e1
| e1 = op(e3,e2)
| ~ spl3_73
| ~ spl3_94
| ~ spl3_97
| ~ spl3_103 ),
inference(forward_demodulation,[],[f25922,f26666]) ).
fof(f26666,plain,
( e3 = op(e2,e2)
| ~ spl3_73
| ~ spl3_94 ),
inference(superposition,[],[f611,f701]) ).
fof(f25922,plain,
( e1 = e3
| e0 = e1
| e1 = op(e3,e2)
| e1 = op(e2,e2)
| ~ spl3_97
| ~ spl3_103 ),
inference(forward_demodulation,[],[f14135,f714]) ).
fof(f14135,plain,
( e0 = e1
| e1 = op(e3,e2)
| e1 = op(e2,e2)
| e1 = op(e1,e2)
| ~ spl3_103 ),
inference(forward_demodulation,[],[f134,f741]) ).
fof(f134,plain,
( e1 = op(e3,e2)
| e1 = op(e2,e2)
| e1 = op(e1,e2)
| e1 = op(e0,e2) ),
inference(cnf_transformation,[],[f2]) ).
fof(f31261,plain,
( spl3_75
| ~ spl3_62
| ~ spl3_100 ),
inference(avatar_split_clause,[],[f28140,f726,f554,f618]) ).
fof(f554,plain,
( spl3_62
<=> e1 = op(op(e2,e1),op(e2,e1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_62])]) ).
fof(f726,plain,
( spl3_100
<=> e3 = op(e2,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_100])]) ).
fof(f28140,plain,
( e1 = op(e3,e3)
| ~ spl3_62
| ~ spl3_100 ),
inference(forward_demodulation,[],[f556,f727]) ).
fof(f727,plain,
( e3 = op(e2,e1)
| ~ spl3_100 ),
inference(avatar_component_clause,[],[f726]) ).
fof(f556,plain,
( e1 = op(op(e2,e1),op(e2,e1))
| ~ spl3_62 ),
inference(avatar_component_clause,[],[f554]) ).
fof(f31221,plain,
( spl3_4
| spl3_5
| spl3_1
| ~ spl3_93
| ~ spl3_118
| ~ spl3_119
| ~ spl3_124 ),
inference(avatar_split_clause,[],[f17381,f1114,f898,f873,f696,f252,f272,f267]) ).
fof(f898,plain,
( spl3_119
<=> e3 = op(e3,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_119])]) ).
fof(f1114,plain,
( spl3_124
<=> e2 = op(e3,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_124])]) ).
fof(f17381,plain,
( e0 = e1
| e1 = e3
| e1 = e2
| ~ spl3_93
| ~ spl3_118
| ~ spl3_119
| ~ spl3_124 ),
inference(forward_demodulation,[],[f17269,f697]) ).
fof(f17269,plain,
( e1 = e3
| e1 = e2
| e1 = op(e3,e3)
| ~ spl3_118
| ~ spl3_119
| ~ spl3_124 ),
inference(duplicate_literal_removal,[],[f10000]) ).
fof(f10000,plain,
( e1 = e3
| e1 = e2
| e1 = e3
| e1 = op(e3,e3)
| ~ spl3_118
| ~ spl3_119
| ~ spl3_124 ),
inference(forward_demodulation,[],[f9999,f900]) ).
fof(f900,plain,
( e3 = op(e3,e1)
| ~ spl3_119 ),
inference(avatar_component_clause,[],[f898]) ).
fof(f9999,plain,
( e1 = e2
| e1 = e3
| e1 = op(e3,e3)
| e1 = op(e3,e1)
| ~ spl3_118
| ~ spl3_124 ),
inference(forward_demodulation,[],[f3766,f1116]) ).
fof(f1116,plain,
( e2 = op(e3,e2)
| ~ spl3_124 ),
inference(avatar_component_clause,[],[f1114]) ).
fof(f3766,plain,
( e1 = e3
| e1 = op(e3,e3)
| e1 = op(e3,e2)
| e1 = op(e3,e1)
| ~ spl3_118 ),
inference(forward_demodulation,[],[f141,f875]) ).
fof(f141,plain,
( e1 = op(e3,e3)
| e1 = op(e3,e2)
| e1 = op(e3,e1)
| e1 = op(e3,e0) ),
inference(cnf_transformation,[],[f2]) ).
fof(f31105,plain,
( spl3_120
| spl3_121
| spl3_1
| spl3_3
| ~ spl3_105
| ~ spl3_116 ),
inference(avatar_split_clause,[],[f14332,f865,f749,f262,f252,f948,f944]) ).
fof(f944,plain,
( spl3_120
<=> e0 = op(e2,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_120])]) ).
fof(f865,plain,
( spl3_116
<=> e3 = op(e1,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_116])]) ).
fof(f14332,plain,
( e0 = e3
| e0 = e1
| e0 = op(e3,e0)
| e0 = op(e2,e0)
| ~ spl3_105
| ~ spl3_116 ),
inference(forward_demodulation,[],[f11207,f867]) ).
fof(f867,plain,
( e3 = op(e1,e0)
| ~ spl3_116 ),
inference(avatar_component_clause,[],[f865]) ).
fof(f31083,plain,
( spl3_94
| spl3_4
| spl3_6
| spl3_2
| ~ spl3_83
| ~ spl3_116
| ~ spl3_128 ),
inference(avatar_split_clause,[],[f31060,f1190,f865,f653,f257,f277,f267,f700]) ).
fof(f653,plain,
( spl3_83
<=> e0 = op(e1,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_83])]) ).
fof(f31060,plain,
( e0 = e2
| e2 = e3
| e1 = e2
| e2 = op(e1,e3)
| ~ spl3_83
| ~ spl3_116
| ~ spl3_128 ),
inference(forward_demodulation,[],[f30971,f654]) ).
fof(f654,plain,
( e0 = op(e1,e2)
| ~ spl3_83 ),
inference(avatar_component_clause,[],[f653]) ).
fof(f30971,plain,
( e2 = e3
| e1 = e2
| e2 = op(e1,e3)
| e2 = op(e1,e2)
| ~ spl3_116
| ~ spl3_128 ),
inference(forward_demodulation,[],[f24675,f867]) ).
fof(f24675,plain,
( e1 = e2
| e2 = op(e1,e3)
| e2 = op(e1,e2)
| e2 = op(e1,e0)
| ~ spl3_128 ),
inference(forward_demodulation,[],[f127,f1192]) ).
fof(f127,plain,
( e2 = op(e1,e3)
| e2 = op(e1,e2)
| e2 = op(e1,e1)
| e2 = op(e1,e0) ),
inference(cnf_transformation,[],[f2]) ).
fof(f31064,plain,
( spl3_133
| spl3_3
| spl3_5
| spl3_6
| ~ spl3_74
| ~ spl3_75
| ~ spl3_113 ),
inference(avatar_split_clause,[],[f31041,f830,f618,f614,f277,f272,f262,f1377]) ).
fof(f614,plain,
( spl3_74
<=> e0 = op(e3,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_74])]) ).
fof(f830,plain,
( spl3_113
<=> e2 = op(e3,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_113])]) ).
fof(f31041,plain,
( e2 = e3
| e1 = e3
| e0 = e3
| e3 = op(e3,e2)
| ~ spl3_74
| ~ spl3_75
| ~ spl3_113 ),
inference(forward_demodulation,[],[f31040,f832]) ).
fof(f832,plain,
( e2 = op(e3,e0)
| ~ spl3_113 ),
inference(avatar_component_clause,[],[f830]) ).
fof(f31040,plain,
( e1 = e3
| e0 = e3
| e3 = op(e3,e2)
| e3 = op(e3,e0)
| ~ spl3_74
| ~ spl3_75 ),
inference(forward_demodulation,[],[f13006,f619]) ).
fof(f619,plain,
( e1 = op(e3,e3)
| ~ spl3_75 ),
inference(avatar_component_clause,[],[f618]) ).
fof(f13006,plain,
( e0 = e3
| e3 = op(e3,e3)
| e3 = op(e3,e2)
| e3 = op(e3,e0)
| ~ spl3_74 ),
inference(forward_demodulation,[],[f145,f615]) ).
fof(f615,plain,
( e0 = op(e3,e1)
| ~ spl3_74 ),
inference(avatar_component_clause,[],[f614]) ).
fof(f145,plain,
( e3 = op(e3,e3)
| e3 = op(e3,e2)
| e3 = op(e3,e1)
| e3 = op(e3,e0) ),
inference(cnf_transformation,[],[f2]) ).
fof(f31055,plain,
( spl3_135
| spl3_5
| spl3_6
| spl3_3
| ~ spl3_75
| ~ spl3_94
| ~ spl3_104 ),
inference(avatar_split_clause,[],[f30995,f743,f700,f618,f262,f277,f272,f2114]) ).
fof(f2114,plain,
( spl3_135
<=> e3 = op(e2,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_135])]) ).
fof(f743,plain,
( spl3_104
<=> e0 = op(e0,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_104])]) ).
fof(f30995,plain,
( e0 = e3
| e2 = e3
| e1 = e3
| e3 = op(e2,e3)
| ~ spl3_75
| ~ spl3_94
| ~ spl3_104 ),
inference(forward_demodulation,[],[f30994,f745]) ).
fof(f745,plain,
( e0 = op(e0,e3)
| ~ spl3_104 ),
inference(avatar_component_clause,[],[f743]) ).
fof(f30994,plain,
( e2 = e3
| e1 = e3
| e3 = op(e2,e3)
| e3 = op(e0,e3)
| ~ spl3_75
| ~ spl3_94 ),
inference(forward_demodulation,[],[f30080,f701]) ).
fof(f30080,plain,
( e1 = e3
| e3 = op(e2,e3)
| e3 = op(e1,e3)
| e3 = op(e0,e3)
| ~ spl3_75 ),
inference(forward_demodulation,[],[f146,f619]) ).
fof(f31053,plain,
( ~ spl3_105
| spl3_64
| ~ spl3_74 ),
inference(avatar_split_clause,[],[f26151,f614,f564,f749]) ).
fof(f564,plain,
( spl3_64
<=> e1 = op(op(e3,e1),op(e3,e1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_64])]) ).
fof(f26151,plain,
( op(e0,e0) != e1
| spl3_64
| ~ spl3_74 ),
inference(forward_demodulation,[],[f565,f615]) ).
fof(f565,plain,
( e1 != op(op(e3,e1),op(e3,e1))
| spl3_64 ),
inference(avatar_component_clause,[],[f564]) ).
fof(f31039,plain,
( spl3_74
| spl3_3
| spl3_1
| spl3_2
| ~ spl3_91
| ~ spl3_100
| ~ spl3_128 ),
inference(avatar_split_clause,[],[f30972,f1190,f726,f687,f257,f252,f262,f614]) ).
fof(f30972,plain,
( e0 = e2
| e0 = e1
| e0 = e3
| e0 = op(e3,e1)
| ~ spl3_91
| ~ spl3_100
| ~ spl3_128 ),
inference(forward_demodulation,[],[f27926,f688]) ).
fof(f688,plain,
( e2 = op(e0,e1)
| ~ spl3_91 ),
inference(avatar_component_clause,[],[f687]) ).
fof(f27926,plain,
( e0 = e1
| e0 = e3
| e0 = op(e3,e1)
| e0 = op(e0,e1)
| ~ spl3_100
| ~ spl3_128 ),
inference(forward_demodulation,[],[f19763,f1192]) ).
fof(f19763,plain,
( e0 = e3
| e0 = op(e3,e1)
| e0 = op(e1,e1)
| e0 = op(e0,e1)
| ~ spl3_100 ),
inference(forward_demodulation,[],[f124,f727]) ).
fof(f124,plain,
( e0 = op(e3,e1)
| e0 = op(e2,e1)
| e0 = op(e1,e1)
| e0 = op(e0,e1) ),
inference(cnf_transformation,[],[f2]) ).
fof(f31027,plain,
( spl3_75
| ~ spl3_62
| ~ spl3_100 ),
inference(avatar_split_clause,[],[f28140,f726,f554,f618]) ).
fof(f30960,plain,
( spl3_137
| spl3_1
| spl3_4
| ~ spl3_77
| ~ spl3_91
| ~ spl3_99 ),
inference(avatar_split_clause,[],[f30764,f722,f687,f627,f267,f252,f3902]) ).
fof(f30764,plain,
( e1 = e2
| e0 = e1
| e1 = op(e3,e1)
| ~ spl3_77
| ~ spl3_91
| ~ spl3_99 ),
inference(forward_demodulation,[],[f30763,f688]) ).
fof(f30763,plain,
( e0 = e1
| e1 = op(e3,e1)
| e1 = op(e0,e1)
| ~ spl3_77
| ~ spl3_99 ),
inference(duplicate_literal_removal,[],[f30762]) ).
fof(f30944,plain,
( spl3_6
| spl3_2
| spl3_4
| ~ spl3_99
| ~ spl3_110
| ~ spl3_116
| ~ spl3_129 ),
inference(avatar_split_clause,[],[f30894,f1194,f865,f805,f722,f267,f257,f277]) ).
fof(f805,plain,
( spl3_110
<=> e1 = op(e1,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_110])]) ).
fof(f1194,plain,
( spl3_129
<=> e1 = op(e1,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_129])]) ).
fof(f30894,plain,
( e1 = e2
| e0 = e2
| e2 = e3
| ~ spl3_99
| ~ spl3_110
| ~ spl3_116
| ~ spl3_129 ),
inference(duplicate_literal_removal,[],[f30893]) ).
fof(f30893,plain,
( e1 = e2
| e0 = e2
| e1 = e2
| e2 = e3
| ~ spl3_99
| ~ spl3_110
| ~ spl3_116
| ~ spl3_129 ),
inference(forward_demodulation,[],[f23718,f807]) ).
fof(f807,plain,
( e1 = op(e1,e3)
| ~ spl3_110 ),
inference(avatar_component_clause,[],[f805]) ).
fof(f23718,plain,
( e0 = e2
| e1 = e2
| e2 = e3
| e2 = op(e1,e3)
| ~ spl3_99
| ~ spl3_116
| ~ spl3_129 ),
inference(forward_demodulation,[],[f21473,f723]) ).
fof(f21473,plain,
( e1 = e2
| e2 = e3
| e2 = op(e1,e3)
| e2 = op(e1,e1)
| ~ spl3_116
| ~ spl3_129 ),
inference(forward_demodulation,[],[f21214,f1196]) ).
fof(f1196,plain,
( e1 = op(e1,e2)
| ~ spl3_129 ),
inference(avatar_component_clause,[],[f1194]) ).
fof(f21214,plain,
( e2 = e3
| e2 = op(e1,e3)
| e2 = op(e1,e2)
| e2 = op(e1,e1)
| ~ spl3_116 ),
inference(forward_demodulation,[],[f127,f867]) ).
fof(f30941,plain,
( ~ spl3_105
| spl3_65
| ~ spl3_99 ),
inference(avatar_split_clause,[],[f27553,f722,f569,f749]) ).
fof(f569,plain,
( spl3_65
<=> e1 = op(op(e1,e1),op(e1,e1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_65])]) ).
fof(f27553,plain,
( op(e0,e0) != e1
| spl3_65
| ~ spl3_99 ),
inference(forward_demodulation,[],[f570,f723]) ).
fof(f570,plain,
( e1 != op(op(e1,e1),op(e1,e1))
| spl3_65 ),
inference(avatar_component_clause,[],[f569]) ).
fof(f30863,plain,
( spl3_81
| spl3_2
| spl3_4
| ~ spl3_104
| ~ spl3_110
| ~ spl3_111 ),
inference(avatar_split_clause,[],[f30470,f809,f805,f743,f267,f257,f644]) ).
fof(f30470,plain,
( e1 = e2
| e0 = e2
| e2 = op(e3,e3)
| ~ spl3_104
| ~ spl3_110
| ~ spl3_111 ),
inference(duplicate_literal_removal,[],[f24031]) ).
fof(f24031,plain,
( e1 = e2
| e1 = e2
| e0 = e2
| e2 = op(e3,e3)
| ~ spl3_104
| ~ spl3_110
| ~ spl3_111 ),
inference(forward_demodulation,[],[f24030,f807]) ).
fof(f24030,plain,
( e1 = e2
| e0 = e2
| e2 = op(e3,e3)
| e2 = op(e1,e3)
| ~ spl3_104
| ~ spl3_111 ),
inference(forward_demodulation,[],[f9663,f811]) ).
fof(f9663,plain,
( e0 = e2
| e2 = op(e3,e3)
| e2 = op(e2,e3)
| e2 = op(e1,e3)
| ~ spl3_104 ),
inference(forward_demodulation,[],[f144,f745]) ).
fof(f144,plain,
( e2 = op(e3,e3)
| e2 = op(e2,e3)
| e2 = op(e1,e3)
| e2 = op(e0,e3) ),
inference(cnf_transformation,[],[f2]) ).
fof(f30782,plain,
( spl3_134
| spl3_4
| spl3_5
| ~ spl3_79
| ~ spl3_122
| ~ spl3_126 ),
inference(avatar_split_clause,[],[f30665,f1164,f1026,f635,f272,f267,f1835]) ).
fof(f1026,plain,
( spl3_122
<=> e2 = op(e1,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_122])]) ).
fof(f30665,plain,
( e1 = e3
| e1 = e2
| e1 = op(e3,e2)
| ~ spl3_79
| ~ spl3_122
| ~ spl3_126 ),
inference(forward_demodulation,[],[f27076,f636]) ).
fof(f636,plain,
( e3 = op(e0,e2)
| ~ spl3_79 ),
inference(avatar_component_clause,[],[f635]) ).
fof(f27076,plain,
( e1 = e2
| e1 = op(e3,e2)
| e1 = op(e0,e2)
| ~ spl3_122
| ~ spl3_126 ),
inference(duplicate_literal_removal,[],[f27075]) ).
fof(f27075,plain,
( e1 = e2
| e1 = e2
| e1 = op(e3,e2)
| e1 = op(e0,e2)
| ~ spl3_122
| ~ spl3_126 ),
inference(forward_demodulation,[],[f24003,f1166]) ).
fof(f1166,plain,
( e2 = op(e2,e2)
| ~ spl3_126 ),
inference(avatar_component_clause,[],[f1164]) ).
fof(f24003,plain,
( e1 = e2
| e1 = op(e3,e2)
| e1 = op(e2,e2)
| e1 = op(e0,e2)
| ~ spl3_122 ),
inference(forward_demodulation,[],[f134,f1028]) ).
fof(f1028,plain,
( e2 = op(e1,e2)
| ~ spl3_122 ),
inference(avatar_component_clause,[],[f1026]) ).
fof(f30755,plain,
( spl3_5
| spl3_3
| spl3_6
| ~ spl3_77
| ~ spl3_91
| ~ spl3_99
| ~ spl3_137 ),
inference(avatar_split_clause,[],[f30689,f3902,f722,f687,f627,f277,f262,f272]) ).
fof(f30689,plain,
( e2 = e3
| e0 = e3
| e1 = e3
| ~ spl3_77
| ~ spl3_91
| ~ spl3_99
| ~ spl3_137 ),
inference(forward_demodulation,[],[f30688,f688]) ).
fof(f30688,plain,
( e0 = e3
| e1 = e3
| e3 = op(e0,e1)
| ~ spl3_77
| ~ spl3_99
| ~ spl3_137 ),
inference(duplicate_literal_removal,[],[f30687]) ).
fof(f30687,plain,
( e0 = e3
| e1 = e3
| e0 = e3
| e3 = op(e0,e1)
| ~ spl3_77
| ~ spl3_99
| ~ spl3_137 ),
inference(forward_demodulation,[],[f30686,f628]) ).
fof(f30686,plain,
( e1 = e3
| e0 = e3
| e3 = op(e2,e1)
| e3 = op(e0,e1)
| ~ spl3_99
| ~ spl3_137 ),
inference(forward_demodulation,[],[f22853,f3904]) ).
fof(f22853,plain,
( e0 = e3
| e3 = op(e3,e1)
| e3 = op(e2,e1)
| e3 = op(e0,e1)
| ~ spl3_99 ),
inference(forward_demodulation,[],[f130,f723]) ).
fof(f130,plain,
( e3 = op(e3,e1)
| e3 = op(e2,e1)
| e3 = op(e1,e1)
| e3 = op(e0,e1) ),
inference(cnf_transformation,[],[f2]) ).
fof(f30751,plain,
( ~ spl3_98
| spl3_38
| ~ spl3_122 ),
inference(avatar_split_clause,[],[f24189,f1026,f437,f718]) ).
fof(f437,plain,
( spl3_38
<=> op(e1,e0) = op(e1,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_38])]) ).
fof(f24189,plain,
( e2 != op(e1,e0)
| spl3_38
| ~ spl3_122 ),
inference(superposition,[],[f439,f1028]) ).
fof(f439,plain,
( op(e1,e0) != op(e1,e2)
| spl3_38 ),
inference(avatar_component_clause,[],[f437]) ).
fof(f30749,plain,
( ~ spl3_117
| ~ spl3_91
| ~ spl3_105 ),
inference(avatar_split_clause,[],[f30016,f749,f687,f869]) ).
fof(f869,plain,
( spl3_117
<=> e3 = op(e2,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_117])]) ).
fof(f30016,plain,
( e3 != op(e2,e0)
| ~ spl3_91
| ~ spl3_105 ),
inference(trivial_inequality_removal,[],[f28836]) ).
fof(f28836,plain,
( e2 != e2
| e3 != op(e2,e0)
| ~ spl3_91
| ~ spl3_105 ),
inference(forward_demodulation,[],[f28835,f688]) ).
fof(f28835,plain,
( e3 != op(e2,e0)
| e2 != op(e0,e1)
| ~ spl3_105 ),
inference(trivial_inequality_removal,[],[f28834]) ).
fof(f28834,plain,
( e1 != e1
| e3 != op(e2,e0)
| e2 != op(e0,e1)
| ~ spl3_105 ),
inference(forward_demodulation,[],[f244,f751]) ).
fof(f244,plain,
( e3 != op(e2,e0)
| op(e0,e0) != e1
| e2 != op(e0,e1) ),
inference(inner_rewriting,[],[f243]) ).
fof(f243,plain,
( e3 != op(op(e0,e1),e0)
| op(e0,e0) != e1
| e2 != op(e0,e1) ),
inference(inner_rewriting,[],[f199]) ).
fof(f199,plain,
( e3 != op(op(e0,op(e0,e0)),e0)
| op(e0,e0) != e1
| e2 != op(e0,op(e0,e0)) ),
inference(cnf_transformation,[],[f50]) ).
fof(f50,plain,
( e3 != op(op(e0,op(e0,e0)),e0)
| op(e0,e0) != e1
| e2 != op(e0,op(e0,e0)) ),
inference(ennf_transformation,[],[f21]) ).
fof(f21,axiom,
~ ( e3 = op(op(e0,op(e0,e0)),e0)
& op(e0,e0) = e1
& e2 = op(e0,op(e0,e0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax21) ).
fof(f30631,plain,
( spl3_135
| spl3_6
| spl3_5
| spl3_3
| ~ spl3_81
| ~ spl3_104
| ~ spl3_110 ),
inference(avatar_split_clause,[],[f30602,f805,f743,f644,f262,f272,f277,f2114]) ).
fof(f30602,plain,
( e0 = e3
| e1 = e3
| e2 = e3
| e3 = op(e2,e3)
| ~ spl3_81
| ~ spl3_104
| ~ spl3_110 ),
inference(forward_demodulation,[],[f14238,f745]) ).
fof(f14238,plain,
( e1 = e3
| e2 = e3
| e3 = op(e2,e3)
| e3 = op(e0,e3)
| ~ spl3_81
| ~ spl3_110 ),
inference(forward_demodulation,[],[f4438,f807]) ).
fof(f4438,plain,
( e2 = e3
| e3 = op(e2,e3)
| e3 = op(e1,e3)
| e3 = op(e0,e3)
| ~ spl3_81 ),
inference(forward_demodulation,[],[f146,f645]) ).
fof(f645,plain,
( e2 = op(e3,e3)
| ~ spl3_81 ),
inference(avatar_component_clause,[],[f644]) ).
fof(f30579,plain,
( spl3_5
| spl3_6
| spl3_3
| ~ spl3_81
| ~ spl3_104
| ~ spl3_110
| ~ spl3_111 ),
inference(avatar_split_clause,[],[f30493,f809,f805,f743,f644,f262,f277,f272]) ).
fof(f30493,plain,
( e0 = e3
| e2 = e3
| e1 = e3
| ~ spl3_81
| ~ spl3_104
| ~ spl3_110
| ~ spl3_111 ),
inference(forward_demodulation,[],[f30492,f745]) ).
fof(f30492,plain,
( e2 = e3
| e1 = e3
| e3 = op(e0,e3)
| ~ spl3_81
| ~ spl3_110
| ~ spl3_111 ),
inference(forward_demodulation,[],[f29545,f645]) ).
fof(f29545,plain,
( e1 = e3
| e3 = op(e3,e3)
| e3 = op(e0,e3)
| ~ spl3_110
| ~ spl3_111 ),
inference(duplicate_literal_removal,[],[f24018]) ).
fof(f24018,plain,
( e1 = e3
| e1 = e3
| e3 = op(e3,e3)
| e3 = op(e0,e3)
| ~ spl3_110
| ~ spl3_111 ),
inference(forward_demodulation,[],[f17540,f811]) ).
fof(f17540,plain,
( e1 = e3
| e3 = op(e3,e3)
| e3 = op(e2,e3)
| e3 = op(e0,e3)
| ~ spl3_110 ),
inference(forward_demodulation,[],[f146,f807]) ).
fof(f30460,plain,
( spl3_89
| spl3_1
| spl3_3
| spl3_2
| ~ spl3_70
| ~ spl3_98
| ~ spl3_111
| ~ spl3_129 ),
inference(avatar_split_clause,[],[f30419,f1194,f809,f718,f594,f257,f262,f252,f679]) ).
fof(f594,plain,
( spl3_70
<=> e3 = op(op(e2,e3),op(e2,e3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_70])]) ).
fof(f30419,plain,
( e0 = e2
| e0 = e3
| e0 = e1
| e0 = op(e1,e3)
| ~ spl3_70
| ~ spl3_98
| ~ spl3_111
| ~ spl3_129 ),
inference(forward_demodulation,[],[f29762,f719]) ).
fof(f29762,plain,
( e0 = e3
| e0 = e1
| e0 = op(e1,e3)
| e0 = op(e1,e0)
| ~ spl3_70
| ~ spl3_111
| ~ spl3_129 ),
inference(forward_demodulation,[],[f19864,f26622]) ).
fof(f26622,plain,
( e3 = op(e1,e1)
| ~ spl3_70
| ~ spl3_111 ),
inference(superposition,[],[f596,f811]) ).
fof(f596,plain,
( e3 = op(op(e2,e3),op(e2,e3))
| ~ spl3_70 ),
inference(avatar_component_clause,[],[f594]) ).
fof(f19864,plain,
( e0 = e1
| e0 = op(e1,e3)
| e0 = op(e1,e1)
| e0 = op(e1,e0)
| ~ spl3_129 ),
inference(forward_demodulation,[],[f123,f1196]) ).
fof(f30418,plain,
( spl3_95
| spl3_111
| spl3_4
| spl3_1
| ~ spl3_77
| ~ spl3_126 ),
inference(avatar_split_clause,[],[f27765,f1164,f627,f252,f267,f809,f705]) ).
fof(f705,plain,
( spl3_95
<=> e1 = op(e2,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_95])]) ).
fof(f27765,plain,
( e0 = e1
| e1 = e2
| e1 = op(e2,e3)
| e1 = op(e2,e0)
| ~ spl3_77
| ~ spl3_126 ),
inference(forward_demodulation,[],[f26596,f628]) ).
fof(f26596,plain,
( e1 = e2
| e1 = op(e2,e3)
| e1 = op(e2,e1)
| e1 = op(e2,e0)
| ~ spl3_126 ),
inference(forward_demodulation,[],[f133,f1166]) ).
fof(f30409,plain,
( spl3_111
| spl3_75
| spl3_1
| spl3_5
| ~ spl3_104
| ~ spl3_132 ),
inference(avatar_split_clause,[],[f16120,f1368,f743,f272,f252,f618,f809]) ).
fof(f1368,plain,
( spl3_132
<=> e3 = op(e1,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_132])]) ).
fof(f16120,plain,
( e1 = e3
| e0 = e1
| e1 = op(e3,e3)
| e1 = op(e2,e3)
| ~ spl3_104
| ~ spl3_132 ),
inference(forward_demodulation,[],[f9665,f1370]) ).
fof(f1370,plain,
( e3 = op(e1,e3)
| ~ spl3_132 ),
inference(avatar_component_clause,[],[f1368]) ).
fof(f9665,plain,
( e0 = e1
| e1 = op(e3,e3)
| e1 = op(e2,e3)
| e1 = op(e1,e3)
| ~ spl3_104 ),
inference(forward_demodulation,[],[f142,f745]) ).
fof(f142,plain,
( e1 = op(e3,e3)
| e1 = op(e2,e3)
| e1 = op(e1,e3)
| e1 = op(e0,e3) ),
inference(cnf_transformation,[],[f2]) ).
fof(f30398,plain,
( spl3_75
| spl3_1
| spl3_5
| ~ spl3_80
| ~ spl3_118
| ~ spl3_119 ),
inference(avatar_split_clause,[],[f30323,f898,f873,f640,f272,f252,f618]) ).
fof(f30323,plain,
( e1 = e3
| e0 = e1
| e1 = op(e3,e3)
| ~ spl3_80
| ~ spl3_118
| ~ spl3_119 ),
inference(duplicate_literal_removal,[],[f30322]) ).
fof(f30322,plain,
( e1 = e3
| e1 = e3
| e0 = e1
| e1 = op(e3,e3)
| ~ spl3_80
| ~ spl3_118
| ~ spl3_119 ),
inference(forward_demodulation,[],[f20199,f900]) ).
fof(f20199,plain,
( e1 = e3
| e0 = e1
| e1 = op(e3,e3)
| e1 = op(e3,e1)
| ~ spl3_80
| ~ spl3_118 ),
inference(forward_demodulation,[],[f16517,f875]) ).
fof(f16517,plain,
( e0 = e1
| e1 = op(e3,e3)
| e1 = op(e3,e1)
| e1 = op(e3,e0)
| ~ spl3_80 ),
inference(forward_demodulation,[],[f141,f641]) ).
fof(f30396,plain,
( ~ spl3_90
| spl3_41
| ~ spl3_132 ),
inference(avatar_split_clause,[],[f28014,f1368,f452,f683]) ).
fof(f683,plain,
( spl3_90
<=> e3 = op(e1,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_90])]) ).
fof(f452,plain,
( spl3_41
<=> op(e1,e1) = op(e1,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_41])]) ).
fof(f28014,plain,
( e3 != op(e1,e1)
| spl3_41
| ~ spl3_132 ),
inference(superposition,[],[f454,f1370]) ).
fof(f454,plain,
( op(e1,e1) != op(e1,e3)
| spl3_41 ),
inference(avatar_component_clause,[],[f452]) ).
fof(f30357,plain,
( spl3_5
| spl3_4
| spl3_1
| ~ spl3_79
| ~ spl3_80
| ~ spl3_83
| ~ spl3_126 ),
inference(avatar_split_clause,[],[f30340,f1164,f653,f640,f635,f252,f267,f272]) ).
fof(f30340,plain,
( e0 = e1
| e1 = e2
| e1 = e3
| ~ spl3_79
| ~ spl3_80
| ~ spl3_83
| ~ spl3_126 ),
inference(duplicate_literal_removal,[],[f30339]) ).
fof(f30339,plain,
( e0 = e1
| e0 = e1
| e1 = e2
| e1 = e3
| ~ spl3_79
| ~ spl3_80
| ~ spl3_83
| ~ spl3_126 ),
inference(forward_demodulation,[],[f30338,f654]) ).
fof(f30338,plain,
( e0 = e1
| e1 = e2
| e1 = e3
| e1 = op(e1,e2)
| ~ spl3_79
| ~ spl3_80
| ~ spl3_126 ),
inference(forward_demodulation,[],[f28825,f641]) ).
fof(f28825,plain,
( e1 = e2
| e1 = e3
| e1 = op(e3,e2)
| e1 = op(e1,e2)
| ~ spl3_79
| ~ spl3_126 ),
inference(forward_demodulation,[],[f17036,f1166]) ).
fof(f17036,plain,
( e1 = e3
| e1 = op(e3,e2)
| e1 = op(e2,e2)
| e1 = op(e1,e2)
| ~ spl3_79 ),
inference(forward_demodulation,[],[f134,f636]) ).
fof(f30337,plain,
( spl3_126
| spl3_6
| spl3_2
| ~ spl3_79
| ~ spl3_80
| ~ spl3_83 ),
inference(avatar_split_clause,[],[f30314,f653,f640,f635,f257,f277,f1164]) ).
fof(f30314,plain,
( e0 = e2
| e2 = e3
| e2 = op(e2,e2)
| ~ spl3_79
| ~ spl3_80
| ~ spl3_83 ),
inference(duplicate_literal_removal,[],[f30313]) ).
fof(f30313,plain,
( e0 = e2
| e0 = e2
| e2 = e3
| e2 = op(e2,e2)
| ~ spl3_79
| ~ spl3_80
| ~ spl3_83 ),
inference(forward_demodulation,[],[f29942,f654]) ).
fof(f29942,plain,
( e0 = e2
| e2 = e3
| e2 = op(e2,e2)
| e2 = op(e1,e2)
| ~ spl3_79
| ~ spl3_80 ),
inference(forward_demodulation,[],[f17035,f641]) ).
fof(f17035,plain,
( e2 = e3
| e2 = op(e3,e2)
| e2 = op(e2,e2)
| e2 = op(e1,e2)
| ~ spl3_79 ),
inference(forward_demodulation,[],[f136,f636]) ).
fof(f30310,plain,
( spl3_80
| spl3_93
| spl3_3
| ~ spl3_118
| ~ spl3_119 ),
inference(avatar_split_clause,[],[f30288,f898,f873,f262,f696,f640]) ).
fof(f30288,plain,
( e0 = e3
| e0 = op(e3,e3)
| e0 = op(e3,e2)
| ~ spl3_118
| ~ spl3_119 ),
inference(duplicate_literal_removal,[],[f30287]) ).
fof(f30287,plain,
( e0 = e3
| e0 = e3
| e0 = op(e3,e3)
| e0 = op(e3,e2)
| ~ spl3_118
| ~ spl3_119 ),
inference(forward_demodulation,[],[f3432,f875]) ).
fof(f3432,plain,
( e0 = e3
| e0 = op(e3,e3)
| e0 = op(e3,e2)
| e0 = op(e3,e0)
| ~ spl3_119 ),
inference(forward_demodulation,[],[f139,f900]) ).
fof(f30286,plain,
( spl3_93
| spl3_2
| spl3_3
| ~ spl3_118
| ~ spl3_119
| ~ spl3_124 ),
inference(avatar_split_clause,[],[f17268,f1114,f898,f873,f262,f257,f696]) ).
fof(f17268,plain,
( e0 = e3
| e0 = e2
| e0 = op(e3,e3)
| ~ spl3_118
| ~ spl3_119
| ~ spl3_124 ),
inference(duplicate_literal_removal,[],[f9997]) ).
fof(f9997,plain,
( e0 = e3
| e0 = e2
| e0 = e3
| e0 = op(e3,e3)
| ~ spl3_118
| ~ spl3_119
| ~ spl3_124 ),
inference(forward_demodulation,[],[f9996,f900]) ).
fof(f9996,plain,
( e0 = e2
| e0 = e3
| e0 = op(e3,e3)
| e0 = op(e3,e1)
| ~ spl3_118
| ~ spl3_124 ),
inference(forward_demodulation,[],[f3767,f1116]) ).
fof(f30273,plain,
( spl3_119
| spl3_5
| spl3_3
| spl3_6
| ~ spl3_77
| ~ spl3_91
| ~ spl3_128 ),
inference(avatar_split_clause,[],[f30258,f1190,f687,f627,f277,f262,f272,f898]) ).
fof(f30258,plain,
( e2 = e3
| e0 = e3
| e1 = e3
| e3 = op(e3,e1)
| ~ spl3_77
| ~ spl3_91
| ~ spl3_128 ),
inference(forward_demodulation,[],[f30257,f688]) ).
fof(f30257,plain,
( e0 = e3
| e1 = e3
| e3 = op(e3,e1)
| e3 = op(e0,e1)
| ~ spl3_77
| ~ spl3_128 ),
inference(forward_demodulation,[],[f25717,f628]) ).
fof(f25717,plain,
( e1 = e3
| e3 = op(e3,e1)
| e3 = op(e2,e1)
| e3 = op(e0,e1)
| ~ spl3_128 ),
inference(forward_demodulation,[],[f130,f1192]) ).
fof(f30252,plain,
( spl3_93
| spl3_2
| spl3_1
| spl3_3
| ~ spl3_118
| ~ spl3_124
| ~ spl3_137 ),
inference(avatar_split_clause,[],[f30241,f3902,f1114,f873,f262,f252,f257,f696]) ).
fof(f30241,plain,
( e0 = e3
| e0 = e1
| e0 = e2
| e0 = op(e3,e3)
| ~ spl3_118
| ~ spl3_124
| ~ spl3_137 ),
inference(forward_demodulation,[],[f12317,f875]) ).
fof(f12317,plain,
( e0 = e1
| e0 = e2
| e0 = op(e3,e3)
| e0 = op(e3,e0)
| ~ spl3_124
| ~ spl3_137 ),
inference(forward_demodulation,[],[f3706,f3904]) ).
fof(f3706,plain,
( e0 = e2
| e0 = op(e3,e3)
| e0 = op(e3,e1)
| e0 = op(e3,e0)
| ~ spl3_124 ),
inference(forward_demodulation,[],[f139,f1116]) ).
fof(f30240,plain,
( spl3_137
| spl3_5
| spl3_1
| spl3_4
| ~ spl3_77
| ~ spl3_90
| ~ spl3_91 ),
inference(avatar_split_clause,[],[f30207,f687,f683,f627,f267,f252,f272,f3902]) ).
fof(f30207,plain,
( e1 = e2
| e0 = e1
| e1 = e3
| e1 = op(e3,e1)
| ~ spl3_77
| ~ spl3_90
| ~ spl3_91 ),
inference(forward_demodulation,[],[f29814,f688]) ).
fof(f29814,plain,
( e0 = e1
| e1 = e3
| e1 = op(e3,e1)
| e1 = op(e0,e1)
| ~ spl3_77
| ~ spl3_90 ),
inference(forward_demodulation,[],[f20007,f628]) ).
fof(f20007,plain,
( e1 = e3
| e1 = op(e3,e1)
| e1 = op(e2,e1)
| e1 = op(e0,e1)
| ~ spl3_90 ),
inference(forward_demodulation,[],[f126,f684]) ).
fof(f684,plain,
( e3 = op(e1,e1)
| ~ spl3_90 ),
inference(avatar_component_clause,[],[f683]) ).
fof(f30238,plain,
( spl3_81
| spl3_2
| spl3_6
| spl3_4
| ~ spl3_104
| ~ spl3_110
| ~ spl3_135 ),
inference(avatar_split_clause,[],[f30181,f2114,f805,f743,f267,f277,f257,f644]) ).
fof(f30181,plain,
( e1 = e2
| e2 = e3
| e0 = e2
| e2 = op(e3,e3)
| ~ spl3_104
| ~ spl3_110
| ~ spl3_135 ),
inference(forward_demodulation,[],[f22707,f807]) ).
fof(f22707,plain,
( e2 = e3
| e0 = e2
| e2 = op(e3,e3)
| e2 = op(e1,e3)
| ~ spl3_104
| ~ spl3_135 ),
inference(forward_demodulation,[],[f9663,f2116]) ).
fof(f2116,plain,
( e3 = op(e2,e3)
| ~ spl3_135 ),
inference(avatar_component_clause,[],[f2114]) ).
fof(f30235,plain,
( spl3_75
| ~ spl3_65
| ~ spl3_90 ),
inference(avatar_split_clause,[],[f26750,f683,f569,f618]) ).
fof(f26750,plain,
( e1 = op(e3,e3)
| ~ spl3_65
| ~ spl3_90 ),
inference(forward_demodulation,[],[f571,f684]) ).
fof(f571,plain,
( e1 = op(op(e1,e1),op(e1,e1))
| ~ spl3_65 ),
inference(avatar_component_clause,[],[f569]) ).
fof(f30206,plain,
( spl3_90
| spl3_3
| spl3_5
| spl3_6
| ~ spl3_83
| ~ spl3_98
| ~ spl3_110 ),
inference(avatar_split_clause,[],[f30136,f805,f718,f653,f277,f272,f262,f683]) ).
fof(f30136,plain,
( e2 = e3
| e1 = e3
| e0 = e3
| e3 = op(e1,e1)
| ~ spl3_83
| ~ spl3_98
| ~ spl3_110 ),
inference(forward_demodulation,[],[f27776,f719]) ).
fof(f27776,plain,
( e1 = e3
| e0 = e3
| e3 = op(e1,e1)
| e3 = op(e1,e0)
| ~ spl3_83
| ~ spl3_110 ),
inference(forward_demodulation,[],[f22806,f807]) ).
fof(f22806,plain,
( e0 = e3
| e3 = op(e1,e3)
| e3 = op(e1,e1)
| e3 = op(e1,e0)
| ~ spl3_83 ),
inference(forward_demodulation,[],[f129,f654]) ).
fof(f129,plain,
( e3 = op(e1,e3)
| e3 = op(e1,e2)
| e3 = op(e1,e1)
| e3 = op(e1,e0) ),
inference(cnf_transformation,[],[f2]) ).
fof(f30204,plain,
( ~ spl3_136
| spl3_72
| ~ spl3_136 ),
inference(avatar_split_clause,[],[f24336,f2462,f604,f2462]) ).
fof(f604,plain,
( spl3_72
<=> e3 = op(op(e3,e3),op(e3,e3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_72])]) ).
fof(f2462,plain,
( spl3_136
<=> e3 = op(e3,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_136])]) ).
fof(f24336,plain,
( e3 != op(e3,e3)
| spl3_72
| ~ spl3_136 ),
inference(forward_demodulation,[],[f605,f2464]) ).
fof(f2464,plain,
( e3 = op(e3,e3)
| ~ spl3_136 ),
inference(avatar_component_clause,[],[f2462]) ).
fof(f605,plain,
( e3 != op(op(e3,e3),op(e3,e3))
| spl3_72 ),
inference(avatar_component_clause,[],[f604]) ).
fof(f30167,plain,
( spl3_135
| spl3_5
| spl3_3
| ~ spl3_75
| ~ spl3_104
| ~ spl3_110 ),
inference(avatar_split_clause,[],[f30088,f805,f743,f618,f262,f272,f2114]) ).
fof(f30088,plain,
( e0 = e3
| e1 = e3
| e3 = op(e2,e3)
| ~ spl3_75
| ~ spl3_104
| ~ spl3_110 ),
inference(forward_demodulation,[],[f29481,f745]) ).
fof(f29481,plain,
( e1 = e3
| e3 = op(e2,e3)
| e3 = op(e0,e3)
| ~ spl3_75
| ~ spl3_110 ),
inference(duplicate_literal_removal,[],[f29480]) ).
fof(f29480,plain,
( e1 = e3
| e1 = e3
| e3 = op(e2,e3)
| e3 = op(e0,e3)
| ~ spl3_75
| ~ spl3_110 ),
inference(forward_demodulation,[],[f13812,f807]) ).
fof(f13812,plain,
( e1 = e3
| e3 = op(e2,e3)
| e3 = op(e1,e3)
| e3 = op(e0,e3)
| ~ spl3_75 ),
inference(forward_demodulation,[],[f146,f619]) ).
fof(f30145,plain,
( ~ spl3_91
| spl3_15
| ~ spl3_131 ),
inference(avatar_split_clause,[],[f26966,f1271,f322,f687]) ).
fof(f30061,plain,
( spl3_5
| spl3_3
| spl3_6
| ~ spl3_77
| ~ spl3_91
| ~ spl3_128
| ~ spl3_131 ),
inference(avatar_split_clause,[],[f30041,f1271,f1190,f687,f627,f277,f262,f272]) ).
fof(f30041,plain,
( e2 = e3
| e0 = e3
| e1 = e3
| ~ spl3_77
| ~ spl3_91
| ~ spl3_128
| ~ spl3_131 ),
inference(duplicate_literal_removal,[],[f30040]) ).
fof(f30040,plain,
( e2 = e3
| e0 = e3
| e2 = e3
| e1 = e3
| ~ spl3_77
| ~ spl3_91
| ~ spl3_128
| ~ spl3_131 ),
inference(forward_demodulation,[],[f27756,f688]) ).
fof(f27756,plain,
( e0 = e3
| e2 = e3
| e1 = e3
| e3 = op(e0,e1)
| ~ spl3_77
| ~ spl3_128
| ~ spl3_131 ),
inference(forward_demodulation,[],[f27755,f628]) ).
fof(f27755,plain,
( e2 = e3
| e1 = e3
| e3 = op(e2,e1)
| e3 = op(e0,e1)
| ~ spl3_128
| ~ spl3_131 ),
inference(forward_demodulation,[],[f25717,f1273]) ).
fof(f30015,plain,
( spl3_86
| spl3_93
| spl3_2
| spl3_3
| ~ spl3_76
| ~ spl3_132 ),
inference(avatar_split_clause,[],[f21822,f1368,f622,f262,f257,f696,f666]) ).
fof(f21822,plain,
( e0 = e3
| e0 = e2
| e0 = op(e3,e3)
| e0 = op(e2,e3)
| ~ spl3_76
| ~ spl3_132 ),
inference(forward_demodulation,[],[f16654,f1370]) ).
fof(f16654,plain,
( e0 = e2
| e0 = op(e3,e3)
| e0 = op(e2,e3)
| e0 = op(e1,e3)
| ~ spl3_76 ),
inference(forward_demodulation,[],[f140,f623]) ).
fof(f140,plain,
( e0 = op(e3,e3)
| e0 = op(e2,e3)
| e0 = op(e1,e3)
| e0 = op(e0,e3) ),
inference(cnf_transformation,[],[f2]) ).
fof(f30005,plain,
( spl3_132
| spl3_3
| spl3_6
| spl3_5
| ~ spl3_83
| ~ spl3_98
| ~ spl3_128 ),
inference(avatar_split_clause,[],[f29969,f1190,f718,f653,f272,f277,f262,f1368]) ).
fof(f29969,plain,
( e1 = e3
| e2 = e3
| e0 = e3
| e3 = op(e1,e3)
| ~ spl3_83
| ~ spl3_98
| ~ spl3_128 ),
inference(forward_demodulation,[],[f29363,f1192]) ).
fof(f29363,plain,
( e2 = e3
| e0 = e3
| e3 = op(e1,e3)
| e3 = op(e1,e1)
| ~ spl3_83
| ~ spl3_98 ),
inference(forward_demodulation,[],[f20751,f719]) ).
fof(f20751,plain,
( e0 = e3
| e3 = op(e1,e3)
| e3 = op(e1,e1)
| e3 = op(e1,e0)
| ~ spl3_83 ),
inference(forward_demodulation,[],[f129,f654]) ).
fof(f29959,plain,
( spl3_96
| spl3_80
| spl3_1
| spl3_3
| ~ spl3_79
| ~ spl3_129 ),
inference(avatar_split_clause,[],[f19768,f1194,f635,f262,f252,f640,f709]) ).
fof(f19768,plain,
( e0 = e3
| e0 = e1
| e0 = op(e3,e2)
| e0 = op(e2,e2)
| ~ spl3_79
| ~ spl3_129 ),
inference(forward_demodulation,[],[f14015,f636]) ).
fof(f14015,plain,
( e0 = e1
| e0 = op(e3,e2)
| e0 = op(e2,e2)
| e0 = op(e0,e2)
| ~ spl3_129 ),
inference(forward_demodulation,[],[f132,f1196]) ).
fof(f132,plain,
( e0 = op(e3,e2)
| e0 = op(e2,e2)
| e0 = op(e1,e2)
| e0 = op(e0,e2) ),
inference(cnf_transformation,[],[f2]) ).
fof(f29953,plain,
( spl3_126
| spl3_2
| spl3_4
| spl3_6
| ~ spl3_79
| ~ spl3_80
| ~ spl3_129 ),
inference(avatar_split_clause,[],[f29939,f1194,f640,f635,f277,f267,f257,f1164]) ).
fof(f29939,plain,
( e2 = e3
| e1 = e2
| e0 = e2
| e2 = op(e2,e2)
| ~ spl3_79
| ~ spl3_80
| ~ spl3_129 ),
inference(forward_demodulation,[],[f29938,f636]) ).
fof(f29938,plain,
( e1 = e2
| e0 = e2
| e2 = op(e2,e2)
| e2 = op(e0,e2)
| ~ spl3_80
| ~ spl3_129 ),
inference(forward_demodulation,[],[f8425,f1196]) ).
fof(f8425,plain,
( e0 = e2
| e2 = op(e2,e2)
| e2 = op(e1,e2)
| e2 = op(e0,e2)
| ~ spl3_80 ),
inference(forward_demodulation,[],[f136,f641]) ).
fof(f29937,plain,
( spl3_120
| spl3_86
| spl3_3
| spl3_2
| ~ spl3_100
| ~ spl3_126 ),
inference(avatar_split_clause,[],[f25159,f1164,f726,f257,f262,f666,f944]) ).
fof(f25159,plain,
( e0 = e2
| e0 = e3
| e0 = op(e2,e3)
| e0 = op(e2,e0)
| ~ spl3_100
| ~ spl3_126 ),
inference(forward_demodulation,[],[f21660,f1166]) ).
fof(f21660,plain,
( e0 = e3
| e0 = op(e2,e3)
| e0 = op(e2,e2)
| e0 = op(e2,e0)
| ~ spl3_100 ),
inference(forward_demodulation,[],[f131,f727]) ).
fof(f29935,plain,
( ~ spl3_134
| spl3_54
| ~ spl3_75 ),
inference(avatar_split_clause,[],[f28196,f618,f517,f1835]) ).
fof(f517,plain,
( spl3_54
<=> op(e3,e2) = op(e3,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_54])]) ).
fof(f28196,plain,
( e1 != op(e3,e2)
| spl3_54
| ~ spl3_75 ),
inference(superposition,[],[f519,f619]) ).
fof(f519,plain,
( op(e3,e2) != op(e3,e3)
| spl3_54 ),
inference(avatar_component_clause,[],[f517]) ).
fof(f29922,plain,
( spl3_80
| spl3_2
| spl3_3
| spl3_1
| ~ spl3_79
| ~ spl3_126
| ~ spl3_129 ),
inference(avatar_split_clause,[],[f29787,f1194,f1164,f635,f252,f262,f257,f640]) ).
fof(f29787,plain,
( e0 = e1
| e0 = e3
| e0 = e2
| e0 = op(e3,e2)
| ~ spl3_79
| ~ spl3_126
| ~ spl3_129 ),
inference(forward_demodulation,[],[f28824,f1196]) ).
fof(f28824,plain,
( e0 = e3
| e0 = e2
| e0 = op(e3,e2)
| e0 = op(e1,e2)
| ~ spl3_79
| ~ spl3_126 ),
inference(forward_demodulation,[],[f28645,f636]) ).
fof(f28645,plain,
( e0 = e2
| e0 = op(e3,e2)
| e0 = op(e1,e2)
| e0 = op(e0,e2)
| ~ spl3_126 ),
inference(forward_demodulation,[],[f132,f1166]) ).
fof(f29911,plain,
( spl3_75
| ~ spl3_62
| ~ spl3_100 ),
inference(avatar_split_clause,[],[f28140,f726,f554,f618]) ).
fof(f29885,plain,
( spl3_90
| spl3_3
| spl3_6
| ~ spl3_77
| ~ spl3_102
| ~ spl3_131 ),
inference(avatar_split_clause,[],[f29658,f1271,f735,f627,f277,f262,f683]) ).
fof(f735,plain,
( spl3_102
<=> e0 = op(e0,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_102])]) ).
fof(f29658,plain,
( e2 = e3
| e0 = e3
| e3 = op(e1,e1)
| ~ spl3_77
| ~ spl3_102
| ~ spl3_131 ),
inference(forward_demodulation,[],[f11325,f1273]) ).
fof(f11325,plain,
( e0 = e3
| e3 = op(e3,e1)
| e3 = op(e1,e1)
| ~ spl3_77
| ~ spl3_102 ),
inference(duplicate_literal_removal,[],[f11324]) ).
fof(f11324,plain,
( e0 = e3
| e0 = e3
| e3 = op(e3,e1)
| e3 = op(e1,e1)
| ~ spl3_77
| ~ spl3_102 ),
inference(forward_demodulation,[],[f902,f628]) ).
fof(f902,plain,
( e0 = e3
| e3 = op(e3,e1)
| e3 = op(e2,e1)
| e3 = op(e1,e1)
| ~ spl3_102 ),
inference(forward_demodulation,[],[f130,f737]) ).
fof(f737,plain,
( e0 = op(e0,e1)
| ~ spl3_102 ),
inference(avatar_component_clause,[],[f735]) ).
fof(f29826,plain,
( spl3_137
| spl3_5
| spl3_1
| ~ spl3_77
| ~ spl3_90
| ~ spl3_102 ),
inference(avatar_split_clause,[],[f29808,f735,f683,f627,f252,f272,f3902]) ).
fof(f29808,plain,
( e0 = e1
| e1 = e3
| e1 = op(e3,e1)
| ~ spl3_77
| ~ spl3_90
| ~ spl3_102 ),
inference(duplicate_literal_removal,[],[f29807]) ).
fof(f29807,plain,
( e0 = e1
| e0 = e1
| e1 = e3
| e1 = op(e3,e1)
| ~ spl3_77
| ~ spl3_90
| ~ spl3_102 ),
inference(forward_demodulation,[],[f29806,f737]) ).
fof(f29806,plain,
( e0 = e1
| e1 = e3
| e1 = op(e3,e1)
| e1 = op(e0,e1)
| ~ spl3_77
| ~ spl3_90 ),
inference(forward_demodulation,[],[f26417,f628]) ).
fof(f26417,plain,
( e1 = e3
| e1 = op(e3,e1)
| e1 = op(e2,e1)
| e1 = op(e0,e1)
| ~ spl3_90 ),
inference(forward_demodulation,[],[f126,f684]) ).
fof(f29803,plain,
( spl3_90
| ~ spl3_70
| ~ spl3_111 ),
inference(avatar_split_clause,[],[f26622,f809,f594,f683]) ).
fof(f29786,plain,
( spl3_126
| spl3_6
| spl3_4
| ~ spl3_79
| ~ spl3_129
| ~ spl3_134 ),
inference(avatar_split_clause,[],[f29758,f1835,f1194,f635,f267,f277,f1164]) ).
fof(f29758,plain,
( e1 = e2
| e2 = e3
| e2 = op(e2,e2)
| ~ spl3_79
| ~ spl3_129
| ~ spl3_134 ),
inference(duplicate_literal_removal,[],[f29757]) ).
fof(f29757,plain,
( e1 = e2
| e2 = e3
| e1 = e2
| e2 = op(e2,e2)
| ~ spl3_79
| ~ spl3_129
| ~ spl3_134 ),
inference(forward_demodulation,[],[f23098,f1836]) ).
fof(f23098,plain,
( e2 = e3
| e1 = e2
| e2 = op(e3,e2)
| e2 = op(e2,e2)
| ~ spl3_79
| ~ spl3_129 ),
inference(forward_demodulation,[],[f14032,f636]) ).
fof(f14032,plain,
( e1 = e2
| e2 = op(e3,e2)
| e2 = op(e2,e2)
| e2 = op(e0,e2)
| ~ spl3_129 ),
inference(forward_demodulation,[],[f136,f1196]) ).
fof(f29728,plain,
( spl3_3
| spl3_5
| spl3_6
| ~ spl3_76
| ~ spl3_93
| ~ spl3_110
| ~ spl3_111 ),
inference(avatar_split_clause,[],[f29611,f809,f805,f696,f622,f277,f272,f262]) ).
fof(f29611,plain,
( e2 = e3
| e1 = e3
| e0 = e3
| ~ spl3_76
| ~ spl3_93
| ~ spl3_110
| ~ spl3_111 ),
inference(forward_demodulation,[],[f29610,f623]) ).
fof(f29610,plain,
( e1 = e3
| e0 = e3
| e3 = op(e0,e3)
| ~ spl3_93
| ~ spl3_110
| ~ spl3_111 ),
inference(duplicate_literal_removal,[],[f29609]) ).
fof(f29609,plain,
( e1 = e3
| e1 = e3
| e0 = e3
| e3 = op(e0,e3)
| ~ spl3_93
| ~ spl3_110
| ~ spl3_111 ),
inference(forward_demodulation,[],[f29608,f807]) ).
fof(f29608,plain,
( e1 = e3
| e0 = e3
| e3 = op(e1,e3)
| e3 = op(e0,e3)
| ~ spl3_93
| ~ spl3_111 ),
inference(forward_demodulation,[],[f27408,f811]) ).
fof(f27408,plain,
( e0 = e3
| e3 = op(e2,e3)
| e3 = op(e1,e3)
| e3 = op(e0,e3)
| ~ spl3_93 ),
inference(forward_demodulation,[],[f146,f697]) ).
fof(f29727,plain,
( ~ spl3_78
| spl3_24
| ~ spl3_134 ),
inference(avatar_split_clause,[],[f25140,f1835,f367,f631]) ).
fof(f631,plain,
( spl3_78
<=> e1 = op(e2,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_78])]) ).
fof(f367,plain,
( spl3_24
<=> op(e2,e2) = op(e3,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_24])]) ).
fof(f25140,plain,
( e1 != op(e2,e2)
| spl3_24
| ~ spl3_134 ),
inference(superposition,[],[f369,f1836]) ).
fof(f369,plain,
( op(e2,e2) != op(e3,e2)
| spl3_24 ),
inference(avatar_component_clause,[],[f367]) ).
fof(f29540,plain,
( spl3_135
| spl3_5
| spl3_6
| ~ spl3_75
| ~ spl3_76
| ~ spl3_110 ),
inference(avatar_split_clause,[],[f29471,f805,f622,f618,f277,f272,f2114]) ).
fof(f29471,plain,
( e2 = e3
| e1 = e3
| e3 = op(e2,e3)
| ~ spl3_75
| ~ spl3_76
| ~ spl3_110 ),
inference(forward_demodulation,[],[f28259,f623]) ).
fof(f28259,plain,
( e1 = e3
| e3 = op(e2,e3)
| e3 = op(e0,e3)
| ~ spl3_75
| ~ spl3_110 ),
inference(duplicate_literal_removal,[],[f28258]) ).
fof(f28258,plain,
( e1 = e3
| e1 = e3
| e3 = op(e2,e3)
| e3 = op(e0,e3)
| ~ spl3_75
| ~ spl3_110 ),
inference(forward_demodulation,[],[f13812,f807]) ).
fof(f29512,plain,
( spl3_4
| ~ spl3_78
| ~ spl3_126 ),
inference(avatar_split_clause,[],[f29505,f1164,f631,f267]) ).
fof(f29505,plain,
( e1 = e2
| ~ spl3_78
| ~ spl3_126 ),
inference(superposition,[],[f632,f1166]) ).
fof(f632,plain,
( e1 = op(e2,e2)
| ~ spl3_78 ),
inference(avatar_component_clause,[],[f631]) ).
fof(f29504,plain,
( spl3_78
| ~ spl3_62
| ~ spl3_130 ),
inference(avatar_split_clause,[],[f29399,f1267,f554,f631]) ).
fof(f29399,plain,
( e1 = op(e2,e2)
| ~ spl3_62
| ~ spl3_130 ),
inference(forward_demodulation,[],[f556,f1269]) ).
fof(f29418,plain,
( spl3_4
| ~ spl3_68
| ~ spl3_78
| ~ spl3_124 ),
inference(avatar_split_clause,[],[f16809,f1114,f631,f584,f267]) ).
fof(f16809,plain,
( e1 = e2
| ~ spl3_68
| ~ spl3_78
| ~ spl3_124 ),
inference(forward_demodulation,[],[f1464,f632]) ).
fof(f1464,plain,
( e2 = op(e2,e2)
| ~ spl3_68
| ~ spl3_124 ),
inference(superposition,[],[f586,f1116]) ).
fof(f586,plain,
( e2 = op(op(e3,e2),op(e3,e2))
| ~ spl3_68 ),
inference(avatar_component_clause,[],[f584]) ).
fof(f29356,plain,
( spl3_86
| spl3_2
| spl3_3
| ~ spl3_68
| ~ spl3_117
| ~ spl3_124
| ~ spl3_130 ),
inference(avatar_split_clause,[],[f29115,f1267,f1114,f869,f584,f262,f257,f666]) ).
fof(f29115,plain,
( e0 = e3
| e0 = e2
| e0 = op(e2,e3)
| ~ spl3_68
| ~ spl3_117
| ~ spl3_124
| ~ spl3_130 ),
inference(forward_demodulation,[],[f18578,f871]) ).
fof(f871,plain,
( e3 = op(e2,e0)
| ~ spl3_117 ),
inference(avatar_component_clause,[],[f869]) ).
fof(f18578,plain,
( e0 = e2
| e0 = op(e2,e3)
| e0 = op(e2,e0)
| ~ spl3_68
| ~ spl3_124
| ~ spl3_130 ),
inference(duplicate_literal_removal,[],[f18577]) ).
fof(f18577,plain,
( e0 = e2
| e0 = e2
| e0 = op(e2,e3)
| e0 = op(e2,e0)
| ~ spl3_68
| ~ spl3_124
| ~ spl3_130 ),
inference(forward_demodulation,[],[f3662,f1269]) ).
fof(f3662,plain,
( e0 = e2
| e0 = op(e2,e3)
| e0 = op(e2,e1)
| e0 = op(e2,e0)
| ~ spl3_68
| ~ spl3_124 ),
inference(forward_demodulation,[],[f131,f1464]) ).
fof(f29351,plain,
( ~ spl3_112
| spl3_44
| ~ spl3_126 ),
inference(avatar_split_clause,[],[f19680,f1164,f467,f826]) ).
fof(f467,plain,
( spl3_44
<=> op(e2,e0) = op(e2,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_44])]) ).
fof(f19680,plain,
( e2 != op(e2,e0)
| spl3_44
| ~ spl3_126 ),
inference(superposition,[],[f469,f1166]) ).
fof(f469,plain,
( op(e2,e0) != op(e2,e2)
| spl3_44 ),
inference(avatar_component_clause,[],[f467]) ).
fof(f29287,plain,
( spl3_1
| ~ spl3_60
| ~ spl3_105
| ~ spl3_128 ),
inference(avatar_split_clause,[],[f29277,f1190,f749,f544,f252]) ).
fof(f29277,plain,
( e0 = e1
| ~ spl3_60
| ~ spl3_105
| ~ spl3_128 ),
inference(forward_demodulation,[],[f1192,f6355]) ).
fof(f6355,plain,
( e0 = op(e1,e1)
| ~ spl3_60
| ~ spl3_105 ),
inference(superposition,[],[f546,f751]) ).
fof(f29113,plain,
( spl3_6
| ~ spl3_98
| ~ spl3_117
| ~ spl3_127
| ~ spl3_130 ),
inference(avatar_split_clause,[],[f29009,f1267,f1177,f869,f718,f277]) ).
fof(f1177,plain,
( spl3_127
<=> e1 = op(e2,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_127])]) ).
fof(f29009,plain,
( e2 = e3
| ~ spl3_98
| ~ spl3_117
| ~ spl3_127
| ~ spl3_130 ),
inference(forward_demodulation,[],[f26555,f719]) ).
fof(f26555,plain,
( e3 = op(e1,e0)
| ~ spl3_117
| ~ spl3_127
| ~ spl3_130 ),
inference(forward_demodulation,[],[f871,f18094]) ).
fof(f18094,plain,
( e1 = e2
| ~ spl3_127
| ~ spl3_130 ),
inference(superposition,[],[f1179,f1269]) ).
fof(f1179,plain,
( e1 = op(e2,e1)
| ~ spl3_127 ),
inference(avatar_component_clause,[],[f1177]) ).
fof(f28959,plain,
( ~ spl3_117
| ~ spl3_91
| ~ spl3_105 ),
inference(avatar_split_clause,[],[f28837,f749,f687,f869]) ).
fof(f28837,plain,
( e3 != op(e2,e0)
| ~ spl3_91
| ~ spl3_105 ),
inference(trivial_inequality_removal,[],[f28836]) ).
fof(f28812,plain,
( spl3_3
| spl3_6
| spl3_5
| ~ spl3_86
| ~ spl3_112
| ~ spl3_126
| ~ spl3_127 ),
inference(avatar_split_clause,[],[f28788,f1177,f1164,f826,f666,f272,f277,f262]) ).
fof(f28788,plain,
( e1 = e3
| e2 = e3
| e0 = e3
| ~ spl3_86
| ~ spl3_112
| ~ spl3_126
| ~ spl3_127 ),
inference(forward_demodulation,[],[f28787,f1179]) ).
fof(f28787,plain,
( e2 = e3
| e0 = e3
| e3 = op(e2,e1)
| ~ spl3_86
| ~ spl3_112
| ~ spl3_126 ),
inference(duplicate_literal_removal,[],[f28786]) ).
fof(f28786,plain,
( e2 = e3
| e0 = e3
| e2 = e3
| e3 = op(e2,e1)
| ~ spl3_86
| ~ spl3_112
| ~ spl3_126 ),
inference(forward_demodulation,[],[f25730,f1166]) ).
fof(f25730,plain,
( e0 = e3
| e2 = e3
| e3 = op(e2,e2)
| e3 = op(e2,e1)
| ~ spl3_86
| ~ spl3_112 ),
inference(forward_demodulation,[],[f21212,f667]) ).
fof(f667,plain,
( e0 = op(e2,e3)
| ~ spl3_86 ),
inference(avatar_component_clause,[],[f666]) ).
fof(f21212,plain,
( e2 = e3
| e3 = op(e2,e3)
| e3 = op(e2,e2)
| e3 = op(e2,e1)
| ~ spl3_112 ),
inference(forward_demodulation,[],[f137,f828]) ).
fof(f28782,plain,
( spl3_86
| spl3_2
| spl3_1
| ~ spl3_112
| ~ spl3_126
| ~ spl3_127 ),
inference(avatar_split_clause,[],[f28656,f1177,f1164,f826,f252,f257,f666]) ).
fof(f28656,plain,
( e0 = e1
| e0 = e2
| e0 = op(e2,e3)
| ~ spl3_112
| ~ spl3_126
| ~ spl3_127 ),
inference(forward_demodulation,[],[f27132,f1179]) ).
fof(f27132,plain,
( e0 = e2
| e0 = op(e2,e3)
| e0 = op(e2,e1)
| ~ spl3_112
| ~ spl3_126 ),
inference(duplicate_literal_removal,[],[f27131]) ).
fof(f27131,plain,
( e0 = e2
| e0 = e2
| e0 = op(e2,e3)
| e0 = op(e2,e1)
| ~ spl3_112
| ~ spl3_126 ),
inference(forward_demodulation,[],[f21211,f1166]) ).
fof(f21211,plain,
( e0 = e2
| e0 = op(e2,e3)
| e0 = op(e2,e2)
| e0 = op(e2,e1)
| ~ spl3_112 ),
inference(forward_demodulation,[],[f131,f828]) ).
fof(f28773,plain,
( spl3_99
| ~ spl3_58
| ~ spl3_107 ),
inference(avatar_split_clause,[],[f22773,f766,f535,f722]) ).
fof(f28621,plain,
( spl3_134
| spl3_1
| spl3_4
| ~ spl3_103
| ~ spl3_122
| ~ spl3_126 ),
inference(avatar_split_clause,[],[f28595,f1164,f1026,f739,f267,f252,f1835]) ).
fof(f28595,plain,
( e1 = e2
| e0 = e1
| e1 = op(e3,e2)
| ~ spl3_103
| ~ spl3_122
| ~ spl3_126 ),
inference(duplicate_literal_removal,[],[f28594]) ).
fof(f28594,plain,
( e1 = e2
| e1 = e2
| e0 = e1
| e1 = op(e3,e2)
| ~ spl3_103
| ~ spl3_122
| ~ spl3_126 ),
inference(forward_demodulation,[],[f24261,f1166]) ).
fof(f24261,plain,
( e1 = e2
| e0 = e1
| e1 = op(e3,e2)
| e1 = op(e2,e2)
| ~ spl3_103
| ~ spl3_122 ),
inference(forward_demodulation,[],[f14135,f1028]) ).
fof(f28620,plain,
( ~ spl3_76
| ~ spl3_95
| ~ spl3_114 ),
inference(avatar_split_clause,[],[f27405,f844,f705,f622]) ).
fof(f844,plain,
( spl3_114
<=> op(e0,e0) = e3 ),
introduced(avatar_definition,[new_symbols(naming,[spl3_114])]) ).
fof(f27405,plain,
( e1 != op(e2,e0)
| e2 != op(e0,e3)
| ~ spl3_114 ),
inference(trivial_inequality_removal,[],[f904]) ).
fof(f904,plain,
( e3 != e3
| e1 != op(e2,e0)
| e2 != op(e0,e3)
| ~ spl3_114 ),
inference(forward_demodulation,[],[f242,f846]) ).
fof(f846,plain,
( op(e0,e0) = e3
| ~ spl3_114 ),
inference(avatar_component_clause,[],[f844]) ).
fof(f242,plain,
( e1 != op(e2,e0)
| op(e0,e0) != e3
| e2 != op(e0,e3) ),
inference(inner_rewriting,[],[f241]) ).
fof(f241,plain,
( e1 != op(op(e0,e3),e0)
| op(e0,e0) != e3
| e2 != op(e0,e3) ),
inference(inner_rewriting,[],[f198]) ).
fof(f198,plain,
( e1 != op(op(e0,op(e0,e0)),e0)
| op(e0,e0) != e3
| e2 != op(e0,op(e0,e0)) ),
inference(cnf_transformation,[],[f49]) ).
fof(f49,plain,
( e1 != op(op(e0,op(e0,e0)),e0)
| op(e0,e0) != e3
| e2 != op(e0,op(e0,e0)) ),
inference(ennf_transformation,[],[f23]) ).
fof(f23,axiom,
~ ( e1 = op(op(e0,op(e0,e0)),e0)
& op(e0,e0) = e3
& e2 = op(e0,op(e0,e0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax23) ).
fof(f28573,plain,
( spl3_80
| spl3_2
| ~ spl3_109
| ~ spl3_122
| ~ spl3_126 ),
inference(avatar_split_clause,[],[f28456,f1164,f1026,f780,f257,f640]) ).
fof(f780,plain,
( spl3_109
<=> e2 = op(e0,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_109])]) ).
fof(f28456,plain,
( e0 = e2
| e0 = op(e3,e2)
| ~ spl3_109
| ~ spl3_122
| ~ spl3_126 ),
inference(duplicate_literal_removal,[],[f28455]) ).
fof(f28455,plain,
( e0 = e2
| e0 = e2
| e0 = op(e3,e2)
| ~ spl3_109
| ~ spl3_122
| ~ spl3_126 ),
inference(forward_demodulation,[],[f27769,f1028]) ).
fof(f27769,plain,
( e0 = e2
| e0 = op(e3,e2)
| e0 = op(e1,e2)
| ~ spl3_109
| ~ spl3_126 ),
inference(duplicate_literal_removal,[],[f27768]) ).
fof(f27768,plain,
( e0 = e2
| e0 = e2
| e0 = op(e3,e2)
| e0 = op(e1,e2)
| ~ spl3_109
| ~ spl3_126 ),
inference(forward_demodulation,[],[f26503,f782]) ).
fof(f782,plain,
( e2 = op(e0,e2)
| ~ spl3_109 ),
inference(avatar_component_clause,[],[f780]) ).
fof(f26503,plain,
( e0 = e2
| e0 = op(e3,e2)
| e0 = op(e1,e2)
| e0 = op(e0,e2)
| ~ spl3_126 ),
inference(forward_demodulation,[],[f132,f1166]) ).
fof(f28570,plain,
( ~ spl3_126
| spl3_67
| ~ spl3_109 ),
inference(avatar_split_clause,[],[f27384,f780,f579,f1164]) ).
fof(f579,plain,
( spl3_67
<=> e2 = op(op(e0,e2),op(e0,e2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_67])]) ).
fof(f27384,plain,
( e2 != op(e2,e2)
| spl3_67
| ~ spl3_109 ),
inference(forward_demodulation,[],[f580,f782]) ).
fof(f580,plain,
( e2 != op(op(e0,e2),op(e0,e2))
| spl3_67 ),
inference(avatar_component_clause,[],[f579]) ).
fof(f28563,plain,
( ~ spl3_93
| spl3_60
| ~ spl3_114 ),
inference(avatar_split_clause,[],[f25107,f844,f544,f696]) ).
fof(f25107,plain,
( e0 != op(e3,e3)
| spl3_60
| ~ spl3_114 ),
inference(forward_demodulation,[],[f545,f846]) ).
fof(f28535,plain,
( ~ spl3_114
| ~ spl3_60
| spl3_72
| ~ spl3_114 ),
inference(avatar_split_clause,[],[f12866,f844,f604,f544,f844]) ).
fof(f12866,plain,
( op(e0,e0) != e3
| ~ spl3_60
| spl3_72
| ~ spl3_114 ),
inference(forward_demodulation,[],[f605,f12753]) ).
fof(f12753,plain,
( e0 = op(e3,e3)
| ~ spl3_60
| ~ spl3_114 ),
inference(forward_demodulation,[],[f546,f846]) ).
fof(f28411,plain,
( spl3_84
| ~ spl3_67
| ~ spl3_88 ),
inference(avatar_split_clause,[],[f798,f674,f579,f657]) ).
fof(f657,plain,
( spl3_84
<=> e2 = op(e1,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_84])]) ).
fof(f674,plain,
( spl3_88
<=> e1 = op(e0,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_88])]) ).
fof(f798,plain,
( e2 = op(e1,e1)
| ~ spl3_67
| ~ spl3_88 ),
inference(superposition,[],[f581,f675]) ).
fof(f675,plain,
( e1 = op(e0,e2)
| ~ spl3_88 ),
inference(avatar_component_clause,[],[f674]) ).
fof(f581,plain,
( e2 = op(op(e0,e2),op(e0,e2))
| ~ spl3_67 ),
inference(avatar_component_clause,[],[f579]) ).
fof(f28348,plain,
( spl3_5
| spl3_6
| ~ spl3_75
| ~ spl3_92
| ~ spl3_124
| ~ spl3_131 ),
inference(avatar_split_clause,[],[f28319,f1271,f1114,f692,f618,f277,f272]) ).
fof(f692,plain,
( spl3_92
<=> e1 = op(e3,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_92])]) ).
fof(f28319,plain,
( e2 = e3
| e1 = e3
| ~ spl3_75
| ~ spl3_92
| ~ spl3_124
| ~ spl3_131 ),
inference(duplicate_literal_removal,[],[f28318]) ).
fof(f28318,plain,
( e2 = e3
| e2 = e3
| e1 = e3
| ~ spl3_75
| ~ spl3_92
| ~ spl3_124
| ~ spl3_131 ),
inference(forward_demodulation,[],[f28317,f1273]) ).
fof(f28317,plain,
( e2 = e3
| e1 = e3
| e3 = op(e3,e1)
| ~ spl3_75
| ~ spl3_92
| ~ spl3_124 ),
inference(forward_demodulation,[],[f26823,f1116]) ).
fof(f26823,plain,
( e1 = e3
| e3 = op(e3,e2)
| e3 = op(e3,e1)
| ~ spl3_75
| ~ spl3_92 ),
inference(duplicate_literal_removal,[],[f8546]) ).
fof(f8546,plain,
( e1 = e3
| e1 = e3
| e3 = op(e3,e2)
| e3 = op(e3,e1)
| ~ spl3_75
| ~ spl3_92 ),
inference(forward_demodulation,[],[f8082,f619]) ).
fof(f8082,plain,
( e1 = e3
| e3 = op(e3,e3)
| e3 = op(e3,e2)
| e3 = op(e3,e1)
| ~ spl3_92 ),
inference(forward_demodulation,[],[f145,f693]) ).
fof(f693,plain,
( e1 = op(e3,e0)
| ~ spl3_92 ),
inference(avatar_component_clause,[],[f692]) ).
fof(f28275,plain,
( spl3_3
| spl3_5
| spl3_6
| ~ spl3_67
| ~ spl3_83
| ~ spl3_88
| ~ spl3_98
| ~ spl3_110 ),
inference(avatar_split_clause,[],[f28173,f805,f718,f674,f653,f579,f277,f272,f262]) ).
fof(f28173,plain,
( e2 = e3
| e1 = e3
| e0 = e3
| ~ spl3_67
| ~ spl3_83
| ~ spl3_88
| ~ spl3_98
| ~ spl3_110 ),
inference(duplicate_literal_removal,[],[f28172]) ).
fof(f28172,plain,
( e2 = e3
| e2 = e3
| e1 = e3
| e0 = e3
| ~ spl3_67
| ~ spl3_83
| ~ spl3_88
| ~ spl3_98
| ~ spl3_110 ),
inference(forward_demodulation,[],[f28171,f719]) ).
fof(f28171,plain,
( e2 = e3
| e1 = e3
| e0 = e3
| e3 = op(e1,e0)
| ~ spl3_67
| ~ spl3_83
| ~ spl3_88
| ~ spl3_110 ),
inference(forward_demodulation,[],[f25330,f798]) ).
fof(f25330,plain,
( e1 = e3
| e0 = e3
| e3 = op(e1,e1)
| e3 = op(e1,e0)
| ~ spl3_83
| ~ spl3_110 ),
inference(forward_demodulation,[],[f22806,f807]) ).
fof(f28256,plain,
( spl3_5
| ~ spl3_65
| ~ spl3_67
| ~ spl3_87
| ~ spl3_88 ),
inference(avatar_split_clause,[],[f28255,f674,f670,f579,f569,f272]) ).
fof(f28255,plain,
( e1 = e3
| ~ spl3_65
| ~ spl3_67
| ~ spl3_87
| ~ spl3_88 ),
inference(forward_demodulation,[],[f671,f28164]) ).
fof(f28164,plain,
( e1 = op(e2,e2)
| ~ spl3_65
| ~ spl3_67
| ~ spl3_88 ),
inference(forward_demodulation,[],[f571,f798]) ).
fof(f671,plain,
( e3 = op(e2,e2)
| ~ spl3_87 ),
inference(avatar_component_clause,[],[f670]) ).
fof(f28254,plain,
( spl3_87
| ~ spl3_71
| ~ spl3_76 ),
inference(avatar_split_clause,[],[f21114,f622,f599,f670]) ).
fof(f599,plain,
( spl3_71
<=> e3 = op(op(e0,e3),op(e0,e3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_71])]) ).
fof(f21114,plain,
( e3 = op(e2,e2)
| ~ spl3_71
| ~ spl3_76 ),
inference(forward_demodulation,[],[f601,f623]) ).
fof(f601,plain,
( e3 = op(op(e0,e3),op(e0,e3))
| ~ spl3_71 ),
inference(avatar_component_clause,[],[f599]) ).
fof(f28142,plain,
( spl3_5
| ~ spl3_67
| ~ spl3_87
| ~ spl3_88
| ~ spl3_128 ),
inference(avatar_split_clause,[],[f28117,f1190,f674,f670,f579,f272]) ).
fof(f28117,plain,
( e1 = e3
| ~ spl3_67
| ~ spl3_87
| ~ spl3_88
| ~ spl3_128 ),
inference(forward_demodulation,[],[f28116,f1192]) ).
fof(f28116,plain,
( e3 = op(e1,e1)
| ~ spl3_67
| ~ spl3_87
| ~ spl3_88
| ~ spl3_128 ),
inference(forward_demodulation,[],[f671,f24700]) ).
fof(f24700,plain,
( e1 = e2
| ~ spl3_67
| ~ spl3_88
| ~ spl3_128 ),
inference(forward_demodulation,[],[f13751,f1192]) ).
fof(f13751,plain,
( e2 = op(e1,e1)
| ~ spl3_67
| ~ spl3_88 ),
inference(superposition,[],[f581,f675]) ).
fof(f28020,plain,
( spl3_4
| spl3_5
| spl3_1
| ~ spl3_93
| ~ spl3_104
| ~ spl3_123
| ~ spl3_132 ),
inference(avatar_split_clause,[],[f27999,f1368,f1102,f743,f696,f252,f272,f267]) ).
fof(f1102,plain,
( spl3_123
<=> e2 = op(e2,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_123])]) ).
fof(f27999,plain,
( e0 = e1
| e1 = e3
| e1 = e2
| ~ spl3_93
| ~ spl3_104
| ~ spl3_123
| ~ spl3_132 ),
inference(duplicate_literal_removal,[],[f27998]) ).
fof(f27998,plain,
( e0 = e1
| e0 = e1
| e1 = e3
| e1 = e2
| ~ spl3_93
| ~ spl3_104
| ~ spl3_123
| ~ spl3_132 ),
inference(forward_demodulation,[],[f27997,f745]) ).
fof(f27997,plain,
( e0 = e1
| e1 = e3
| e1 = e2
| e1 = op(e0,e3)
| ~ spl3_93
| ~ spl3_123
| ~ spl3_132 ),
inference(forward_demodulation,[],[f13969,f697]) ).
fof(f13969,plain,
( e1 = e3
| e1 = e2
| e1 = op(e3,e3)
| e1 = op(e0,e3)
| ~ spl3_123
| ~ spl3_132 ),
inference(forward_demodulation,[],[f3233,f1370]) ).
fof(f3233,plain,
( e1 = e2
| e1 = op(e3,e3)
| e1 = op(e1,e3)
| e1 = op(e0,e3)
| ~ spl3_123 ),
inference(forward_demodulation,[],[f142,f1104]) ).
fof(f1104,plain,
( e2 = op(e2,e3)
| ~ spl3_123 ),
inference(avatar_component_clause,[],[f1102]) ).
fof(f27972,plain,
( spl3_110
| spl3_5
| spl3_1
| ~ spl3_93
| ~ spl3_104
| ~ spl3_135 ),
inference(avatar_split_clause,[],[f27898,f2114,f743,f696,f252,f272,f805]) ).
fof(f27898,plain,
( e0 = e1
| e1 = e3
| e1 = op(e1,e3)
| ~ spl3_93
| ~ spl3_104
| ~ spl3_135 ),
inference(duplicate_literal_removal,[],[f27897]) ).
fof(f27897,plain,
( e0 = e1
| e0 = e1
| e1 = e3
| e1 = op(e1,e3)
| ~ spl3_93
| ~ spl3_104
| ~ spl3_135 ),
inference(forward_demodulation,[],[f27896,f745]) ).
fof(f27896,plain,
( e0 = e1
| e1 = e3
| e1 = op(e1,e3)
| e1 = op(e0,e3)
| ~ spl3_93
| ~ spl3_135 ),
inference(forward_demodulation,[],[f2381,f697]) ).
fof(f2381,plain,
( e1 = e3
| e1 = op(e3,e3)
| e1 = op(e1,e3)
| e1 = op(e0,e3)
| ~ spl3_135 ),
inference(forward_demodulation,[],[f142,f2116]) ).
fof(f27937,plain,
( spl3_134
| spl3_4
| spl3_1
| ~ spl3_83
| ~ spl3_109
| ~ spl3_126 ),
inference(avatar_split_clause,[],[f26595,f1164,f780,f653,f252,f267,f1835]) ).
fof(f26595,plain,
( e0 = e1
| e1 = e2
| e1 = op(e3,e2)
| ~ spl3_83
| ~ spl3_109
| ~ spl3_126 ),
inference(forward_demodulation,[],[f26502,f654]) ).
fof(f26502,plain,
( e1 = e2
| e1 = op(e3,e2)
| e1 = op(e1,e2)
| ~ spl3_109
| ~ spl3_126 ),
inference(duplicate_literal_removal,[],[f26501]) ).
fof(f26501,plain,
( e1 = e2
| e1 = e2
| e1 = op(e3,e2)
| e1 = op(e1,e2)
| ~ spl3_109
| ~ spl3_126 ),
inference(forward_demodulation,[],[f12142,f1166]) ).
fof(f12142,plain,
( e1 = e2
| e1 = op(e3,e2)
| e1 = op(e2,e2)
| e1 = op(e1,e2)
| ~ spl3_109 ),
inference(forward_demodulation,[],[f134,f782]) ).
fof(f27906,plain,
( spl3_6
| spl3_3
| spl3_5
| ~ spl3_77
| ~ spl3_106
| ~ spl3_128
| ~ spl3_131 ),
inference(avatar_split_clause,[],[f27758,f1271,f1190,f753,f627,f272,f262,f277]) ).
fof(f753,plain,
( spl3_106
<=> e1 = op(e0,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_106])]) ).
fof(f27758,plain,
( e1 = e3
| e0 = e3
| e2 = e3
| ~ spl3_77
| ~ spl3_106
| ~ spl3_128
| ~ spl3_131 ),
inference(duplicate_literal_removal,[],[f27757]) ).
fof(f27757,plain,
( e1 = e3
| e0 = e3
| e2 = e3
| e1 = e3
| ~ spl3_77
| ~ spl3_106
| ~ spl3_128
| ~ spl3_131 ),
inference(forward_demodulation,[],[f27756,f755]) ).
fof(f755,plain,
( e1 = op(e0,e1)
| ~ spl3_106 ),
inference(avatar_component_clause,[],[f753]) ).
fof(f27877,plain,
( ~ spl3_128
| spl3_41
| ~ spl3_110 ),
inference(avatar_split_clause,[],[f3731,f805,f452,f1190]) ).
fof(f3731,plain,
( e1 != op(e1,e1)
| spl3_41
| ~ spl3_110 ),
inference(superposition,[],[f454,f807]) ).
fof(f27708,plain,
( spl3_4
| ~ spl3_68
| ~ spl3_78
| ~ spl3_87
| ~ spl3_122 ),
inference(avatar_split_clause,[],[f27595,f1026,f670,f631,f584,f267]) ).
fof(f27595,plain,
( e1 = e2
| ~ spl3_68
| ~ spl3_78
| ~ spl3_87
| ~ spl3_122 ),
inference(forward_demodulation,[],[f27594,f632]) ).
fof(f27594,plain,
( e2 = op(e2,e2)
| ~ spl3_68
| ~ spl3_78
| ~ spl3_87
| ~ spl3_122 ),
inference(forward_demodulation,[],[f27593,f1028]) ).
fof(f27593,plain,
( e2 = op(op(e1,e2),op(e1,e2))
| ~ spl3_68
| ~ spl3_78
| ~ spl3_87 ),
inference(forward_demodulation,[],[f586,f16760]) ).
fof(f16760,plain,
( e1 = e3
| ~ spl3_78
| ~ spl3_87 ),
inference(superposition,[],[f632,f671]) ).
fof(f27568,plain,
( spl3_4
| ~ spl3_76
| ~ spl3_78
| ~ spl3_87
| ~ spl3_106 ),
inference(avatar_split_clause,[],[f27541,f753,f670,f631,f622,f267]) ).
fof(f27541,plain,
( e1 = e2
| ~ spl3_76
| ~ spl3_78
| ~ spl3_87
| ~ spl3_106 ),
inference(forward_demodulation,[],[f27540,f755]) ).
fof(f27540,plain,
( e2 = op(e0,e1)
| ~ spl3_76
| ~ spl3_78
| ~ spl3_87 ),
inference(forward_demodulation,[],[f623,f16760]) ).
fof(f27393,plain,
( spl3_3
| ~ spl3_73
| ~ spl3_89
| ~ spl3_101 ),
inference(avatar_split_clause,[],[f27349,f731,f679,f609,f262]) ).
fof(f731,plain,
( spl3_101
<=> e0 = op(e0,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_101])]) ).
fof(f27349,plain,
( e0 = e3
| ~ spl3_73
| ~ spl3_89
| ~ spl3_101 ),
inference(forward_demodulation,[],[f23960,f733]) ).
fof(f733,plain,
( e0 = op(e0,e0)
| ~ spl3_101 ),
inference(avatar_component_clause,[],[f731]) ).
fof(f23960,plain,
( op(e0,e0) = e3
| ~ spl3_73
| ~ spl3_89 ),
inference(forward_demodulation,[],[f611,f680]) ).
fof(f26975,plain,
( spl3_74
| spl3_1
| spl3_3
| ~ spl3_85
| ~ spl3_90
| ~ spl3_127 ),
inference(avatar_split_clause,[],[f26825,f1177,f683,f661,f262,f252,f614]) ).
fof(f26825,plain,
( e0 = e3
| e0 = e1
| e0 = op(e3,e1)
| ~ spl3_85
| ~ spl3_90
| ~ spl3_127 ),
inference(duplicate_literal_removal,[],[f24843]) ).
fof(f24843,plain,
( e0 = e3
| e0 = e1
| e0 = e3
| e0 = op(e3,e1)
| ~ spl3_85
| ~ spl3_90
| ~ spl3_127 ),
inference(forward_demodulation,[],[f24593,f684]) ).
fof(f24593,plain,
( e0 = e1
| e0 = e3
| e0 = op(e3,e1)
| e0 = op(e1,e1)
| ~ spl3_85
| ~ spl3_127 ),
inference(forward_demodulation,[],[f24240,f1179]) ).
fof(f24240,plain,
( e0 = e3
| e0 = op(e3,e1)
| e0 = op(e2,e1)
| e0 = op(e1,e1)
| ~ spl3_85 ),
inference(forward_demodulation,[],[f124,f662]) ).
fof(f26899,plain,
( spl3_3
| ~ spl3_89
| ~ spl3_94
| ~ spl3_101
| ~ spl3_117 ),
inference(avatar_split_clause,[],[f26890,f869,f731,f700,f679,f262]) ).
fof(f26890,plain,
( e0 = e3
| ~ spl3_89
| ~ spl3_94
| ~ spl3_101
| ~ spl3_117 ),
inference(forward_demodulation,[],[f26889,f733]) ).
fof(f26889,plain,
( op(e0,e0) = e3
| ~ spl3_89
| ~ spl3_94
| ~ spl3_117 ),
inference(forward_demodulation,[],[f871,f26804]) ).
fof(f26822,plain,
( spl3_137
| spl3_4
| spl3_5
| ~ spl3_85
| ~ spl3_90
| ~ spl3_130 ),
inference(avatar_split_clause,[],[f26527,f1267,f683,f661,f272,f267,f3902]) ).
fof(f26527,plain,
( e1 = e3
| e1 = e2
| e1 = op(e3,e1)
| ~ spl3_85
| ~ spl3_90
| ~ spl3_130 ),
inference(duplicate_literal_removal,[],[f26526]) ).
fof(f26526,plain,
( e1 = e3
| e1 = e2
| e1 = e3
| e1 = op(e3,e1)
| ~ spl3_85
| ~ spl3_90
| ~ spl3_130 ),
inference(forward_demodulation,[],[f26309,f662]) ).
fof(f26309,plain,
( e1 = e2
| e1 = e3
| e1 = op(e3,e1)
| e1 = op(e0,e1)
| ~ spl3_90
| ~ spl3_130 ),
inference(forward_demodulation,[],[f24981,f1269]) ).
fof(f24981,plain,
( e1 = e3
| e1 = op(e3,e1)
| e1 = op(e2,e1)
| e1 = op(e0,e1)
| ~ spl3_90 ),
inference(forward_demodulation,[],[f126,f684]) ).
fof(f26786,plain,
( spl3_89
| spl3_1
| spl3_3
| ~ spl3_90
| ~ spl3_116
| ~ spl3_129 ),
inference(avatar_split_clause,[],[f23531,f1194,f865,f683,f262,f252,f679]) ).
fof(f23531,plain,
( e0 = e3
| e0 = e1
| e0 = op(e1,e3)
| ~ spl3_90
| ~ spl3_116
| ~ spl3_129 ),
inference(duplicate_literal_removal,[],[f23530]) ).
fof(f23530,plain,
( e0 = e3
| e0 = e1
| e0 = e3
| e0 = op(e1,e3)
| ~ spl3_90
| ~ spl3_116
| ~ spl3_129 ),
inference(forward_demodulation,[],[f23322,f867]) ).
fof(f23322,plain,
( e0 = e1
| e0 = e3
| e0 = op(e1,e3)
| e0 = op(e1,e0)
| ~ spl3_90
| ~ spl3_129 ),
inference(forward_demodulation,[],[f22035,f1196]) ).
fof(f22035,plain,
( e0 = e3
| e0 = op(e1,e3)
| e0 = op(e1,e2)
| e0 = op(e1,e0)
| ~ spl3_90 ),
inference(forward_demodulation,[],[f123,f684]) ).
fof(f26777,plain,
( spl3_94
| spl3_4
| spl3_6
| ~ spl3_90
| ~ spl3_116
| ~ spl3_129 ),
inference(avatar_split_clause,[],[f23515,f1194,f865,f683,f277,f267,f700]) ).
fof(f23515,plain,
( e2 = e3
| e1 = e2
| e2 = op(e1,e3)
| ~ spl3_90
| ~ spl3_116
| ~ spl3_129 ),
inference(duplicate_literal_removal,[],[f23514]) ).
fof(f23514,plain,
( e2 = e3
| e1 = e2
| e2 = e3
| e2 = op(e1,e3)
| ~ spl3_90
| ~ spl3_116
| ~ spl3_129 ),
inference(forward_demodulation,[],[f21473,f684]) ).
fof(f26773,plain,
( ~ spl3_91
| spl3_34
| ~ spl3_109 ),
inference(avatar_split_clause,[],[f14385,f780,f417,f687]) ).
fof(f417,plain,
( spl3_34
<=> op(e0,e1) = op(e0,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_34])]) ).
fof(f14385,plain,
( e2 != op(e0,e1)
| spl3_34
| ~ spl3_109 ),
inference(superposition,[],[f419,f782]) ).
fof(f419,plain,
( op(e0,e1) != op(e0,e2)
| spl3_34 ),
inference(avatar_component_clause,[],[f417]) ).
fof(f26714,plain,
( spl3_75
| ~ spl3_63
| ~ spl3_85 ),
inference(avatar_split_clause,[],[f26353,f661,f559,f618]) ).
fof(f26353,plain,
( e1 = op(e3,e3)
| ~ spl3_63
| ~ spl3_85 ),
inference(forward_demodulation,[],[f561,f662]) ).
fof(f561,plain,
( e1 = op(op(e0,e1),op(e0,e1))
| ~ spl3_63 ),
inference(avatar_component_clause,[],[f559]) ).
fof(f26704,plain,
( spl3_6
| spl3_4
| ~ spl3_63
| ~ spl3_82
| ~ spl3_85
| ~ spl3_111
| ~ spl3_132 ),
inference(avatar_split_clause,[],[f26681,f1368,f809,f661,f648,f559,f267,f277]) ).
fof(f648,plain,
( spl3_82
<=> e1 = op(e0,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_82])]) ).
fof(f26681,plain,
( e1 = e2
| e2 = e3
| ~ spl3_63
| ~ spl3_82
| ~ spl3_85
| ~ spl3_111
| ~ spl3_132 ),
inference(duplicate_literal_removal,[],[f26680]) ).
fof(f26680,plain,
( e1 = e2
| e1 = e2
| e2 = e3
| ~ spl3_63
| ~ spl3_82
| ~ spl3_85
| ~ spl3_111
| ~ spl3_132 ),
inference(forward_demodulation,[],[f26679,f649]) ).
fof(f649,plain,
( e1 = op(e0,e3)
| ~ spl3_82 ),
inference(avatar_component_clause,[],[f648]) ).
fof(f26679,plain,
( e1 = e2
| e2 = e3
| e2 = op(e0,e3)
| ~ spl3_63
| ~ spl3_85
| ~ spl3_111
| ~ spl3_132 ),
inference(duplicate_literal_removal,[],[f26678]) ).
fof(f26678,plain,
( e1 = e2
| e2 = e3
| e1 = e2
| e2 = op(e0,e3)
| ~ spl3_63
| ~ spl3_85
| ~ spl3_111
| ~ spl3_132 ),
inference(forward_demodulation,[],[f23450,f811]) ).
fof(f23450,plain,
( e2 = e3
| e1 = e2
| e2 = op(e2,e3)
| e2 = op(e0,e3)
| ~ spl3_63
| ~ spl3_85
| ~ spl3_132 ),
inference(forward_demodulation,[],[f1871,f1370]) ).
fof(f1871,plain,
( e1 = e2
| e2 = op(e2,e3)
| e2 = op(e1,e3)
| e2 = op(e0,e3)
| ~ spl3_63
| ~ spl3_85 ),
inference(forward_demodulation,[],[f144,f861]) ).
fof(f861,plain,
( e1 = op(e3,e3)
| ~ spl3_63
| ~ spl3_85 ),
inference(superposition,[],[f561,f662]) ).
fof(f26694,plain,
( spl3_4
| ~ spl3_65
| ~ spl3_73
| ~ spl3_82
| ~ spl3_90
| ~ spl3_111
| ~ spl3_132 ),
inference(avatar_split_clause,[],[f26690,f1368,f809,f683,f648,f609,f569,f267]) ).
fof(f26690,plain,
( e1 = e2
| ~ spl3_65
| ~ spl3_73
| ~ spl3_82
| ~ spl3_90
| ~ spl3_111
| ~ spl3_132 ),
inference(duplicate_literal_removal,[],[f26689]) ).
fof(f26689,plain,
( e1 = e2
| e1 = e2
| ~ spl3_65
| ~ spl3_73
| ~ spl3_82
| ~ spl3_90
| ~ spl3_111
| ~ spl3_132 ),
inference(forward_demodulation,[],[f26688,f649]) ).
fof(f26688,plain,
( e1 = e2
| e2 = op(e0,e3)
| ~ spl3_65
| ~ spl3_73
| ~ spl3_90
| ~ spl3_111
| ~ spl3_132 ),
inference(duplicate_literal_removal,[],[f26687]) ).
fof(f26687,plain,
( e1 = e2
| e1 = e2
| e2 = op(e0,e3)
| ~ spl3_65
| ~ spl3_73
| ~ spl3_90
| ~ spl3_111
| ~ spl3_132 ),
inference(forward_demodulation,[],[f26686,f811]) ).
fof(f26686,plain,
( e1 = e2
| e2 = op(e2,e3)
| e2 = op(e0,e3)
| ~ spl3_65
| ~ spl3_73
| ~ spl3_90
| ~ spl3_132 ),
inference(duplicate_literal_removal,[],[f26685]) ).
fof(f26685,plain,
( e1 = e2
| e1 = e2
| e2 = op(e2,e3)
| e2 = op(e0,e3)
| ~ spl3_65
| ~ spl3_73
| ~ spl3_90
| ~ spl3_132 ),
inference(forward_demodulation,[],[f26684,f23522]) ).
fof(f23522,plain,
( e1 = op(e3,e3)
| ~ spl3_65
| ~ spl3_90 ),
inference(superposition,[],[f571,f684]) ).
fof(f26684,plain,
( e1 = e2
| e2 = op(e3,e3)
| e2 = op(e2,e3)
| e2 = op(e0,e3)
| ~ spl3_65
| ~ spl3_73
| ~ spl3_90
| ~ spl3_132 ),
inference(forward_demodulation,[],[f21885,f26683]) ).
fof(f26683,plain,
( e1 = e3
| ~ spl3_65
| ~ spl3_73
| ~ spl3_90
| ~ spl3_132 ),
inference(forward_demodulation,[],[f3481,f23522]) ).
fof(f3481,plain,
( e3 = op(e3,e3)
| ~ spl3_73
| ~ spl3_132 ),
inference(superposition,[],[f611,f1370]) ).
fof(f21885,plain,
( e2 = e3
| e2 = op(e3,e3)
| e2 = op(e2,e3)
| e2 = op(e0,e3)
| ~ spl3_132 ),
inference(forward_demodulation,[],[f144,f1370]) ).
fof(f26672,plain,
( spl3_132
| spl3_5
| ~ spl3_65
| ~ spl3_82
| ~ spl3_90
| ~ spl3_111 ),
inference(avatar_split_clause,[],[f26610,f809,f683,f648,f569,f272,f1368]) ).
fof(f26610,plain,
( e1 = e3
| e3 = op(e1,e3)
| ~ spl3_65
| ~ spl3_82
| ~ spl3_90
| ~ spl3_111 ),
inference(duplicate_literal_removal,[],[f26609]) ).
fof(f26609,plain,
( e1 = e3
| e1 = e3
| e3 = op(e1,e3)
| ~ spl3_65
| ~ spl3_82
| ~ spl3_90
| ~ spl3_111 ),
inference(forward_demodulation,[],[f26608,f649]) ).
fof(f26608,plain,
( e1 = e3
| e3 = op(e1,e3)
| e3 = op(e0,e3)
| ~ spl3_65
| ~ spl3_90
| ~ spl3_111 ),
inference(duplicate_literal_removal,[],[f26607]) ).
fof(f26607,plain,
( e1 = e3
| e1 = e3
| e3 = op(e1,e3)
| e3 = op(e0,e3)
| ~ spl3_65
| ~ spl3_90
| ~ spl3_111 ),
inference(forward_demodulation,[],[f21032,f23522]) ).
fof(f21032,plain,
( e1 = e3
| e3 = op(e3,e3)
| e3 = op(e1,e3)
| e3 = op(e0,e3)
| ~ spl3_111 ),
inference(forward_demodulation,[],[f146,f811]) ).
fof(f26656,plain,
( spl3_94
| spl3_4
| ~ spl3_75
| ~ spl3_82
| ~ spl3_111 ),
inference(avatar_split_clause,[],[f23488,f809,f648,f618,f267,f700]) ).
fof(f23488,plain,
( e1 = e2
| e2 = op(e1,e3)
| ~ spl3_75
| ~ spl3_82
| ~ spl3_111 ),
inference(duplicate_literal_removal,[],[f23487]) ).
fof(f23487,plain,
( e1 = e2
| e1 = e2
| e2 = op(e1,e3)
| ~ spl3_75
| ~ spl3_82
| ~ spl3_111 ),
inference(forward_demodulation,[],[f20428,f619]) ).
fof(f20428,plain,
( e1 = e2
| e2 = op(e3,e3)
| e2 = op(e1,e3)
| ~ spl3_82
| ~ spl3_111 ),
inference(duplicate_literal_removal,[],[f14744]) ).
fof(f14744,plain,
( e1 = e2
| e1 = e2
| e2 = op(e3,e3)
| e2 = op(e1,e3)
| ~ spl3_82
| ~ spl3_111 ),
inference(forward_demodulation,[],[f12504,f811]) ).
fof(f12504,plain,
( e1 = e2
| e2 = op(e3,e3)
| e2 = op(e2,e3)
| e2 = op(e1,e3)
| ~ spl3_82 ),
inference(forward_demodulation,[],[f144,f649]) ).
fof(f26577,plain,
( spl3_5
| ~ spl3_107
| ~ spl3_117
| ~ spl3_127
| ~ spl3_130 ),
inference(avatar_split_clause,[],[f26556,f1267,f1177,f869,f766,f272]) ).
fof(f26556,plain,
( e1 = e3
| ~ spl3_107
| ~ spl3_117
| ~ spl3_127
| ~ spl3_130 ),
inference(forward_demodulation,[],[f26555,f768]) ).
fof(f26485,plain,
( spl3_5
| spl3_4
| spl3_1
| ~ spl3_67
| ~ spl3_80
| ~ spl3_97
| ~ spl3_109 ),
inference(avatar_split_clause,[],[f26339,f780,f713,f640,f579,f252,f267,f272]) ).
fof(f26339,plain,
( e0 = e1
| e1 = e2
| e1 = e3
| ~ spl3_67
| ~ spl3_80
| ~ spl3_97
| ~ spl3_109 ),
inference(forward_demodulation,[],[f14638,f641]) ).
fof(f14638,plain,
( e1 = e2
| e1 = e3
| e1 = op(e3,e2)
| ~ spl3_67
| ~ spl3_97
| ~ spl3_109 ),
inference(duplicate_literal_removal,[],[f12848]) ).
fof(f12848,plain,
( e1 = e2
| e1 = e2
| e1 = e3
| e1 = op(e3,e2)
| ~ spl3_67
| ~ spl3_97
| ~ spl3_109 ),
inference(forward_demodulation,[],[f12439,f12695]) ).
fof(f12695,plain,
( e2 = op(e2,e2)
| ~ spl3_67
| ~ spl3_109 ),
inference(forward_demodulation,[],[f581,f782]) ).
fof(f12439,plain,
( e1 = e2
| e1 = e3
| e1 = op(e3,e2)
| e1 = op(e2,e2)
| ~ spl3_97
| ~ spl3_109 ),
inference(forward_demodulation,[],[f3682,f782]) ).
fof(f3682,plain,
( e1 = e3
| e1 = op(e3,e2)
| e1 = op(e2,e2)
| e1 = op(e0,e2)
| ~ spl3_97 ),
inference(forward_demodulation,[],[f134,f714]) ).
fof(f26483,plain,
( ~ spl3_90
| spl3_72
| ~ spl3_75 ),
inference(avatar_split_clause,[],[f820,f618,f604,f683]) ).
fof(f820,plain,
( e3 != op(e1,e1)
| spl3_72
| ~ spl3_75 ),
inference(superposition,[],[f605,f619]) ).
fof(f26458,plain,
( spl3_5
| spl3_6
| ~ spl3_67
| ~ spl3_109
| ~ spl3_111
| ~ spl3_112
| ~ spl3_127 ),
inference(avatar_split_clause,[],[f26432,f1177,f826,f809,f780,f579,f277,f272]) ).
fof(f26432,plain,
( e2 = e3
| e1 = e3
| ~ spl3_67
| ~ spl3_109
| ~ spl3_111
| ~ spl3_112
| ~ spl3_127 ),
inference(duplicate_literal_removal,[],[f26431]) ).
fof(f26431,plain,
( e2 = e3
| e1 = e3
| e2 = e3
| ~ spl3_67
| ~ spl3_109
| ~ spl3_111
| ~ spl3_112
| ~ spl3_127 ),
inference(forward_demodulation,[],[f26430,f828]) ).
fof(f26430,plain,
( e1 = e3
| e2 = e3
| e3 = op(e2,e0)
| ~ spl3_67
| ~ spl3_109
| ~ spl3_111
| ~ spl3_127 ),
inference(duplicate_literal_removal,[],[f26429]) ).
fof(f26429,plain,
( e1 = e3
| e1 = e3
| e2 = e3
| e3 = op(e2,e0)
| ~ spl3_67
| ~ spl3_109
| ~ spl3_111
| ~ spl3_127 ),
inference(forward_demodulation,[],[f12825,f811]) ).
fof(f12825,plain,
( e1 = e3
| e2 = e3
| e3 = op(e2,e3)
| e3 = op(e2,e0)
| ~ spl3_67
| ~ spl3_109
| ~ spl3_127 ),
inference(forward_demodulation,[],[f12824,f1179]) ).
fof(f12824,plain,
( e2 = e3
| e3 = op(e2,e3)
| e3 = op(e2,e1)
| e3 = op(e2,e0)
| ~ spl3_67
| ~ spl3_109 ),
inference(forward_demodulation,[],[f137,f12695]) ).
fof(f26456,plain,
( ~ spl3_90
| spl3_70
| ~ spl3_111 ),
inference(avatar_split_clause,[],[f26221,f809,f594,f683]) ).
fof(f26221,plain,
( e3 != op(e1,e1)
| spl3_70
| ~ spl3_111 ),
inference(forward_demodulation,[],[f595,f811]) ).
fof(f595,plain,
( e3 != op(op(e2,e3),op(e2,e3))
| spl3_70 ),
inference(avatar_component_clause,[],[f594]) ).
fof(f26394,plain,
( spl3_126
| ~ spl3_67
| ~ spl3_109 ),
inference(avatar_split_clause,[],[f14697,f780,f579,f1164]) ).
fof(f14697,plain,
( e2 = op(e2,e2)
| ~ spl3_67
| ~ spl3_109 ),
inference(forward_demodulation,[],[f581,f782]) ).
fof(f26246,plain,
( ~ spl3_134
| ~ spl3_96
| ~ spl3_117 ),
inference(avatar_split_clause,[],[f26170,f869,f709,f1835]) ).
fof(f26170,plain,
( e1 != op(e3,e2)
| ~ spl3_96
| ~ spl3_117 ),
inference(trivial_inequality_removal,[],[f26169]) ).
fof(f26169,plain,
( e0 != e0
| e1 != op(e3,e2)
| ~ spl3_96
| ~ spl3_117 ),
inference(forward_demodulation,[],[f24001,f710]) ).
fof(f24001,plain,
( e1 != op(e3,e2)
| e0 != op(e2,e2)
| ~ spl3_117 ),
inference(trivial_inequality_removal,[],[f14920]) ).
fof(f14920,plain,
( e3 != e3
| e1 != op(e3,e2)
| e0 != op(e2,e2)
| ~ spl3_117 ),
inference(forward_demodulation,[],[f238,f871]) ).
fof(f238,plain,
( e1 != op(e3,e2)
| e0 != op(e2,e2)
| e3 != op(e2,e0) ),
inference(inner_rewriting,[],[f237]) ).
fof(f237,plain,
( e1 != op(op(e2,e0),e2)
| e0 != op(e2,e2)
| e3 != op(e2,e0) ),
inference(inner_rewriting,[],[f196]) ).
fof(f196,plain,
( e1 != op(op(e2,op(e2,e2)),e2)
| e0 != op(e2,e2)
| e3 != op(e2,op(e2,e2)) ),
inference(cnf_transformation,[],[f47]) ).
fof(f47,plain,
( e1 != op(op(e2,op(e2,e2)),e2)
| e0 != op(e2,e2)
| e3 != op(e2,op(e2,e2)) ),
inference(ennf_transformation,[],[f24]) ).
fof(f24,axiom,
~ ( e1 = op(op(e2,op(e2,e2)),e2)
& e0 = op(e2,e2)
& e3 = op(e2,op(e2,e2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax24) ).
fof(f26159,plain,
( spl3_3
| spl3_6
| spl3_5
| ~ spl3_74
| ~ spl3_81
| ~ spl3_92
| ~ spl3_134 ),
inference(avatar_split_clause,[],[f26141,f1835,f692,f644,f614,f272,f277,f262]) ).
fof(f26141,plain,
( e1 = e3
| e2 = e3
| e0 = e3
| ~ spl3_74
| ~ spl3_81
| ~ spl3_92
| ~ spl3_134 ),
inference(duplicate_literal_removal,[],[f26140]) ).
fof(f26140,plain,
( e1 = e3
| e2 = e3
| e1 = e3
| e0 = e3
| ~ spl3_74
| ~ spl3_81
| ~ spl3_92
| ~ spl3_134 ),
inference(forward_demodulation,[],[f26139,f693]) ).
fof(f26139,plain,
( e2 = e3
| e1 = e3
| e0 = e3
| e3 = op(e3,e0)
| ~ spl3_74
| ~ spl3_81
| ~ spl3_134 ),
inference(forward_demodulation,[],[f25099,f645]) ).
fof(f25099,plain,
( e1 = e3
| e0 = e3
| e3 = op(e3,e3)
| e3 = op(e3,e0)
| ~ spl3_74
| ~ spl3_134 ),
inference(forward_demodulation,[],[f13006,f1836]) ).
fof(f26138,plain,
( spl3_74
| spl3_2
| spl3_1
| ~ spl3_106
| ~ spl3_128
| ~ spl3_130 ),
inference(avatar_split_clause,[],[f21540,f1267,f1190,f753,f252,f257,f614]) ).
fof(f21540,plain,
( e0 = e1
| e0 = e2
| e0 = op(e3,e1)
| ~ spl3_106
| ~ spl3_128
| ~ spl3_130 ),
inference(duplicate_literal_removal,[],[f21539]) ).
fof(f21539,plain,
( e0 = e1
| e0 = e1
| e0 = e2
| e0 = op(e3,e1)
| ~ spl3_106
| ~ spl3_128
| ~ spl3_130 ),
inference(forward_demodulation,[],[f21042,f755]) ).
fof(f21042,plain,
( e0 = e1
| e0 = e2
| e0 = op(e3,e1)
| e0 = op(e0,e1)
| ~ spl3_128
| ~ spl3_130 ),
inference(forward_demodulation,[],[f20141,f1192]) ).
fof(f20141,plain,
( e0 = e2
| e0 = op(e3,e1)
| e0 = op(e1,e1)
| e0 = op(e0,e1)
| ~ spl3_130 ),
inference(forward_demodulation,[],[f124,f1269]) ).
fof(f26137,plain,
( ~ spl3_82
| ~ spl3_98
| ~ spl3_114 ),
inference(avatar_split_clause,[],[f25667,f844,f718,f648]) ).
fof(f25667,plain,
( e2 != op(e1,e0)
| e1 != op(e0,e3)
| ~ spl3_114 ),
inference(trivial_inequality_removal,[],[f25666]) ).
fof(f25666,plain,
( e3 != e3
| e2 != op(e1,e0)
| e1 != op(e0,e3)
| ~ spl3_114 ),
inference(forward_demodulation,[],[f248,f846]) ).
fof(f248,plain,
( e2 != op(e1,e0)
| op(e0,e0) != e3
| e1 != op(e0,e3) ),
inference(inner_rewriting,[],[f247]) ).
fof(f247,plain,
( e2 != op(op(e0,e3),e0)
| op(e0,e0) != e3
| e1 != op(e0,e3) ),
inference(inner_rewriting,[],[f201]) ).
fof(f201,plain,
( e2 != op(op(e0,op(e0,e0)),e0)
| op(e0,e0) != e3
| e1 != op(e0,op(e0,e0)) ),
inference(cnf_transformation,[],[f52]) ).
fof(f52,plain,
( e2 != op(op(e0,op(e0,e0)),e0)
| op(e0,e0) != e3
| e1 != op(e0,op(e0,e0)) ),
inference(ennf_transformation,[],[f17]) ).
fof(f17,axiom,
~ ( e2 = op(op(e0,op(e0,e0)),e0)
& op(e0,e0) = e3
& e1 = op(e0,op(e0,e0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax17) ).
fof(f26120,plain,
( ~ spl3_98
| ~ spl3_82
| ~ spl3_114 ),
inference(avatar_split_clause,[],[f26038,f844,f648,f718]) ).
fof(f26038,plain,
( e2 != op(e1,e0)
| ~ spl3_82
| ~ spl3_114 ),
inference(trivial_inequality_removal,[],[f26037]) ).
fof(f26037,plain,
( e1 != e1
| e2 != op(e1,e0)
| ~ spl3_82
| ~ spl3_114 ),
inference(forward_demodulation,[],[f25667,f649]) ).
fof(f26112,plain,
( spl3_96
| ~ spl3_58
| ~ spl3_98 ),
inference(avatar_split_clause,[],[f17183,f718,f535,f709]) ).
fof(f17183,plain,
( e0 = op(e2,e2)
| ~ spl3_58
| ~ spl3_98 ),
inference(forward_demodulation,[],[f537,f719]) ).
fof(f26029,plain,
( spl3_101
| ~ spl3_58
| ~ spl3_125 ),
inference(avatar_split_clause,[],[f18961,f1152,f535,f731]) ).
fof(f18961,plain,
( e0 = op(e0,e0)
| ~ spl3_58
| ~ spl3_125 ),
inference(forward_demodulation,[],[f537,f1154]) ).
fof(f1154,plain,
( e0 = op(e1,e0)
| ~ spl3_125 ),
inference(avatar_component_clause,[],[f1152]) ).
fof(f26022,plain,
( spl3_125
| spl3_121
| spl3_2
| spl3_3
| ~ spl3_112
| ~ spl3_114 ),
inference(avatar_split_clause,[],[f13894,f844,f826,f262,f257,f948,f1152]) ).
fof(f13894,plain,
( e0 = e3
| e0 = e2
| e0 = op(e3,e0)
| e0 = op(e1,e0)
| ~ spl3_112
| ~ spl3_114 ),
inference(forward_demodulation,[],[f12190,f846]) ).
fof(f12190,plain,
( e0 = e2
| e0 = op(e3,e0)
| e0 = op(e1,e0)
| e0 = op(e0,e0)
| ~ spl3_112 ),
inference(forward_demodulation,[],[f116,f828]) ).
fof(f26017,plain,
( ~ spl3_97
| spl3_22
| ~ spl3_87 ),
inference(avatar_split_clause,[],[f23749,f670,f357,f713]) ).
fof(f357,plain,
( spl3_22
<=> op(e1,e2) = op(e2,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_22])]) ).
fof(f23749,plain,
( e3 != op(e1,e2)
| spl3_22
| ~ spl3_87 ),
inference(superposition,[],[f359,f671]) ).
fof(f359,plain,
( op(e1,e2) != op(e2,e2)
| spl3_22 ),
inference(avatar_component_clause,[],[f357]) ).
fof(f25906,plain,
( spl3_86
| spl3_2
| ~ spl3_112
| ~ spl3_126
| ~ spl3_130 ),
inference(avatar_split_clause,[],[f25869,f1267,f1164,f826,f257,f666]) ).
fof(f25869,plain,
( e0 = e2
| e0 = op(e2,e3)
| ~ spl3_112
| ~ spl3_126
| ~ spl3_130 ),
inference(duplicate_literal_removal,[],[f25868]) ).
fof(f25868,plain,
( e0 = e2
| e0 = e2
| e0 = op(e2,e3)
| ~ spl3_112
| ~ spl3_126
| ~ spl3_130 ),
inference(forward_demodulation,[],[f21040,f1166]) ).
fof(f21040,plain,
( e0 = e2
| e0 = op(e2,e3)
| e0 = op(e2,e2)
| ~ spl3_112
| ~ spl3_130 ),
inference(duplicate_literal_removal,[],[f21039]) ).
fof(f25899,plain,
( spl3_5
| spl3_6
| ~ spl3_111
| ~ spl3_112
| ~ spl3_126
| ~ spl3_130 ),
inference(avatar_split_clause,[],[f25867,f1267,f1164,f826,f809,f277,f272]) ).
fof(f25867,plain,
( e2 = e3
| e1 = e3
| ~ spl3_111
| ~ spl3_112
| ~ spl3_126
| ~ spl3_130 ),
inference(duplicate_literal_removal,[],[f25866]) ).
fof(f25866,plain,
( e2 = e3
| e2 = e3
| e1 = e3
| ~ spl3_111
| ~ spl3_112
| ~ spl3_126
| ~ spl3_130 ),
inference(forward_demodulation,[],[f25865,f828]) ).
fof(f25865,plain,
( e2 = e3
| e1 = e3
| e3 = op(e2,e0)
| ~ spl3_111
| ~ spl3_126
| ~ spl3_130 ),
inference(duplicate_literal_removal,[],[f25864]) ).
fof(f25864,plain,
( e2 = e3
| e1 = e3
| e2 = e3
| e3 = op(e2,e0)
| ~ spl3_111
| ~ spl3_126
| ~ spl3_130 ),
inference(forward_demodulation,[],[f21041,f1166]) ).
fof(f21041,plain,
( e1 = e3
| e2 = e3
| e3 = op(e2,e2)
| e3 = op(e2,e0)
| ~ spl3_111
| ~ spl3_130 ),
inference(forward_demodulation,[],[f20151,f811]) ).
fof(f20151,plain,
( e2 = e3
| e3 = op(e2,e3)
| e3 = op(e2,e2)
| e3 = op(e2,e0)
| ~ spl3_130 ),
inference(forward_demodulation,[],[f137,f1269]) ).
fof(f25830,plain,
( spl3_135
| spl3_3
| spl3_6
| ~ spl3_77
| ~ spl3_112
| ~ spl3_126 ),
inference(avatar_split_clause,[],[f25773,f1164,f826,f627,f277,f262,f2114]) ).
fof(f25773,plain,
( e2 = e3
| e0 = e3
| e3 = op(e2,e3)
| ~ spl3_77
| ~ spl3_112
| ~ spl3_126 ),
inference(duplicate_literal_removal,[],[f25772]) ).
fof(f25772,plain,
( e2 = e3
| e2 = e3
| e0 = e3
| e3 = op(e2,e3)
| ~ spl3_77
| ~ spl3_112
| ~ spl3_126 ),
inference(forward_demodulation,[],[f25771,f828]) ).
fof(f25771,plain,
( e2 = e3
| e0 = e3
| e3 = op(e2,e3)
| e3 = op(e2,e0)
| ~ spl3_77
| ~ spl3_126 ),
inference(forward_demodulation,[],[f21312,f1166]) ).
fof(f21312,plain,
( e0 = e3
| e3 = op(e2,e3)
| e3 = op(e2,e2)
| e3 = op(e2,e0)
| ~ spl3_77 ),
inference(forward_demodulation,[],[f137,f628]) ).
fof(f25828,plain,
( ~ spl3_113
| spl3_51
| ~ spl3_81 ),
inference(avatar_split_clause,[],[f14251,f644,f502,f830]) ).
fof(f502,plain,
( spl3_51
<=> op(e3,e0) = op(e3,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_51])]) ).
fof(f14251,plain,
( e2 != op(e3,e0)
| spl3_51
| ~ spl3_81 ),
inference(superposition,[],[f504,f645]) ).
fof(f504,plain,
( op(e3,e0) != op(e3,e3)
| spl3_51 ),
inference(avatar_component_clause,[],[f502]) ).
fof(f25794,plain,
( spl3_111
| spl3_1
| spl3_4
| ~ spl3_77
| ~ spl3_112
| ~ spl3_126 ),
inference(avatar_split_clause,[],[f25768,f1164,f826,f627,f267,f252,f809]) ).
fof(f25768,plain,
( e1 = e2
| e0 = e1
| e1 = op(e2,e3)
| ~ spl3_77
| ~ spl3_112
| ~ spl3_126 ),
inference(duplicate_literal_removal,[],[f25767]) ).
fof(f25767,plain,
( e1 = e2
| e1 = e2
| e0 = e1
| e1 = op(e2,e3)
| ~ spl3_77
| ~ spl3_112
| ~ spl3_126 ),
inference(forward_demodulation,[],[f23956,f828]) ).
fof(f23956,plain,
( e1 = e2
| e0 = e1
| e1 = op(e2,e3)
| e1 = op(e2,e0)
| ~ spl3_77
| ~ spl3_126 ),
inference(forward_demodulation,[],[f21311,f1166]) ).
fof(f21311,plain,
( e0 = e1
| e1 = op(e2,e3)
| e1 = op(e2,e2)
| e1 = op(e2,e0)
| ~ spl3_77 ),
inference(forward_demodulation,[],[f133,f628]) ).
fof(f25766,plain,
( spl3_3
| spl3_6
| ~ spl3_77
| ~ spl3_86
| ~ spl3_112
| ~ spl3_126 ),
inference(avatar_split_clause,[],[f25743,f1164,f826,f666,f627,f277,f262]) ).
fof(f25743,plain,
( e2 = e3
| e0 = e3
| ~ spl3_77
| ~ spl3_86
| ~ spl3_112
| ~ spl3_126 ),
inference(duplicate_literal_removal,[],[f25742]) ).
fof(f25742,plain,
( e2 = e3
| e2 = e3
| e0 = e3
| ~ spl3_77
| ~ spl3_86
| ~ spl3_112
| ~ spl3_126 ),
inference(forward_demodulation,[],[f25741,f828]) ).
fof(f25741,plain,
( e2 = e3
| e0 = e3
| e3 = op(e2,e0)
| ~ spl3_77
| ~ spl3_86
| ~ spl3_126 ),
inference(forward_demodulation,[],[f25740,f1166]) ).
fof(f25740,plain,
( e0 = e3
| e3 = op(e2,e2)
| e3 = op(e2,e0)
| ~ spl3_77
| ~ spl3_86 ),
inference(duplicate_literal_removal,[],[f25739]) ).
fof(f25739,plain,
( e0 = e3
| e0 = e3
| e3 = op(e2,e2)
| e3 = op(e2,e0)
| ~ spl3_77
| ~ spl3_86 ),
inference(forward_demodulation,[],[f21312,f667]) ).
fof(f25695,plain,
( spl3_96
| ~ spl3_58
| ~ spl3_98 ),
inference(avatar_split_clause,[],[f17183,f718,f535,f709]) ).
fof(f25665,plain,
( spl3_111
| spl3_4
| spl3_5
| ~ spl3_100
| ~ spl3_112
| ~ spl3_126 ),
inference(avatar_split_clause,[],[f25610,f1164,f826,f726,f272,f267,f809]) ).
fof(f25610,plain,
( e1 = e3
| e1 = e2
| e1 = op(e2,e3)
| ~ spl3_100
| ~ spl3_112
| ~ spl3_126 ),
inference(forward_demodulation,[],[f21216,f727]) ).
fof(f21216,plain,
( e1 = e2
| e1 = op(e2,e3)
| e1 = op(e2,e1)
| ~ spl3_112
| ~ spl3_126 ),
inference(duplicate_literal_removal,[],[f21215]) ).
fof(f21215,plain,
( e1 = e2
| e1 = e2
| e1 = op(e2,e3)
| e1 = op(e2,e1)
| ~ spl3_112
| ~ spl3_126 ),
inference(forward_demodulation,[],[f13836,f828]) ).
fof(f13836,plain,
( e1 = e2
| e1 = op(e2,e3)
| e1 = op(e2,e1)
| e1 = op(e2,e0)
| ~ spl3_126 ),
inference(forward_demodulation,[],[f133,f1166]) ).
fof(f25643,plain,
( spl3_86
| spl3_2
| spl3_3
| ~ spl3_100
| ~ spl3_112
| ~ spl3_126 ),
inference(avatar_split_clause,[],[f25609,f1164,f826,f726,f262,f257,f666]) ).
fof(f25609,plain,
( e0 = e3
| e0 = e2
| e0 = op(e2,e3)
| ~ spl3_100
| ~ spl3_112
| ~ spl3_126 ),
inference(forward_demodulation,[],[f25603,f727]) ).
fof(f25603,plain,
( e0 = e2
| e0 = op(e2,e3)
| e0 = op(e2,e1)
| ~ spl3_112
| ~ spl3_126 ),
inference(duplicate_literal_removal,[],[f21219]) ).
fof(f21219,plain,
( e0 = e2
| e0 = e2
| e0 = op(e2,e3)
| e0 = op(e2,e1)
| ~ spl3_112
| ~ spl3_126 ),
inference(forward_demodulation,[],[f13834,f828]) ).
fof(f13834,plain,
( e0 = e2
| e0 = op(e2,e3)
| e0 = op(e2,e1)
| e0 = op(e2,e0)
| ~ spl3_126 ),
inference(forward_demodulation,[],[f131,f1166]) ).
fof(f25637,plain,
( ~ spl3_123
| spl3_30
| ~ spl3_81 ),
inference(avatar_split_clause,[],[f3243,f644,f397,f1102]) ).
fof(f397,plain,
( spl3_30
<=> op(e2,e3) = op(e3,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_30])]) ).
fof(f3243,plain,
( e2 != op(e2,e3)
| spl3_30
| ~ spl3_81 ),
inference(superposition,[],[f399,f645]) ).
fof(f399,plain,
( op(e2,e3) != op(e3,e3)
| spl3_30 ),
inference(avatar_component_clause,[],[f397]) ).
fof(f25600,plain,
( spl3_119
| spl3_3
| spl3_6
| ~ spl3_80
| ~ spl3_81
| ~ spl3_113 ),
inference(avatar_split_clause,[],[f25526,f830,f644,f640,f277,f262,f898]) ).
fof(f25526,plain,
( e2 = e3
| e0 = e3
| e3 = op(e3,e1)
| ~ spl3_80
| ~ spl3_81
| ~ spl3_113 ),
inference(duplicate_literal_removal,[],[f25525]) ).
fof(f25525,plain,
( e2 = e3
| e0 = e3
| e2 = e3
| e3 = op(e3,e1)
| ~ spl3_80
| ~ spl3_81
| ~ spl3_113 ),
inference(forward_demodulation,[],[f16505,f832]) ).
fof(f16505,plain,
( e0 = e3
| e2 = e3
| e3 = op(e3,e1)
| e3 = op(e3,e0)
| ~ spl3_80
| ~ spl3_81 ),
inference(forward_demodulation,[],[f4444,f641]) ).
fof(f4444,plain,
( e2 = e3
| e3 = op(e3,e2)
| e3 = op(e3,e1)
| e3 = op(e3,e0)
| ~ spl3_81 ),
inference(forward_demodulation,[],[f145,f645]) ).
fof(f25523,plain,
( spl3_4
| ~ spl3_65
| ~ spl3_69
| ~ spl3_73
| ~ spl3_97
| ~ spl3_110 ),
inference(avatar_split_clause,[],[f25401,f805,f713,f609,f589,f569,f267]) ).
fof(f589,plain,
( spl3_69
<=> e2 = op(op(e1,e2),op(e1,e2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_69])]) ).
fof(f25401,plain,
( e1 = e2
| ~ spl3_65
| ~ spl3_69
| ~ spl3_73
| ~ spl3_97
| ~ spl3_110 ),
inference(forward_demodulation,[],[f20209,f19375]) ).
fof(f19375,plain,
( e1 = op(e3,e3)
| ~ spl3_65
| ~ spl3_73
| ~ spl3_110 ),
inference(forward_demodulation,[],[f571,f4216]) ).
fof(f4216,plain,
( e3 = op(e1,e1)
| ~ spl3_73
| ~ spl3_110 ),
inference(superposition,[],[f611,f807]) ).
fof(f20209,plain,
( e2 = op(e3,e3)
| ~ spl3_69
| ~ spl3_97 ),
inference(forward_demodulation,[],[f591,f714]) ).
fof(f591,plain,
( e2 = op(op(e1,e2),op(e1,e2))
| ~ spl3_69 ),
inference(avatar_component_clause,[],[f589]) ).
fof(f25370,plain,
( spl3_108
| ~ spl3_69
| ~ spl3_83 ),
inference(avatar_split_clause,[],[f22755,f653,f589,f776]) ).
fof(f776,plain,
( spl3_108
<=> op(e0,e0) = e2 ),
introduced(avatar_definition,[new_symbols(naming,[spl3_108])]) ).
fof(f22755,plain,
( op(e0,e0) = e2
| ~ spl3_69
| ~ spl3_83 ),
inference(forward_demodulation,[],[f591,f654]) ).
fof(f25261,plain,
( spl3_120
| spl3_121
| spl3_3
| spl3_1
| ~ spl3_107
| ~ spl3_114 ),
inference(avatar_split_clause,[],[f15951,f844,f766,f252,f262,f948,f944]) ).
fof(f15951,plain,
( e0 = e1
| e0 = e3
| e0 = op(e3,e0)
| e0 = op(e2,e0)
| ~ spl3_107
| ~ spl3_114 ),
inference(forward_demodulation,[],[f12506,f768]) ).
fof(f12506,plain,
( e0 = e3
| e0 = op(e3,e0)
| e0 = op(e2,e0)
| e0 = op(e1,e0)
| ~ spl3_114 ),
inference(forward_demodulation,[],[f116,f846]) ).
fof(f25246,plain,
( spl3_119
| spl3_5
| spl3_3
| spl3_6
| ~ spl3_62
| ~ spl3_80
| ~ spl3_100
| ~ spl3_113 ),
inference(avatar_split_clause,[],[f25175,f830,f726,f640,f554,f277,f262,f272,f898]) ).
fof(f25175,plain,
( e2 = e3
| e0 = e3
| e1 = e3
| e3 = op(e3,e1)
| ~ spl3_62
| ~ spl3_80
| ~ spl3_100
| ~ spl3_113 ),
inference(forward_demodulation,[],[f8454,f832]) ).
fof(f8454,plain,
( e0 = e3
| e1 = e3
| e3 = op(e3,e1)
| e3 = op(e3,e0)
| ~ spl3_62
| ~ spl3_80
| ~ spl3_100 ),
inference(forward_demodulation,[],[f4355,f641]) ).
fof(f4355,plain,
( e1 = e3
| e3 = op(e3,e2)
| e3 = op(e3,e1)
| e3 = op(e3,e0)
| ~ spl3_62
| ~ spl3_100 ),
inference(forward_demodulation,[],[f145,f3958]) ).
fof(f3958,plain,
( e1 = op(e3,e3)
| ~ spl3_62
| ~ spl3_100 ),
inference(superposition,[],[f556,f727]) ).
fof(f25237,plain,
( spl3_89
| spl3_3
| spl3_1
| ~ spl3_97
| ~ spl3_107
| ~ spl3_128 ),
inference(avatar_split_clause,[],[f25077,f1190,f766,f713,f252,f262,f679]) ).
fof(f25077,plain,
( e0 = e1
| e0 = e3
| e0 = op(e1,e3)
| ~ spl3_97
| ~ spl3_107
| ~ spl3_128 ),
inference(duplicate_literal_removal,[],[f25076]) ).
fof(f25076,plain,
( e0 = e1
| e0 = e3
| e0 = e1
| e0 = op(e1,e3)
| ~ spl3_97
| ~ spl3_107
| ~ spl3_128 ),
inference(forward_demodulation,[],[f25075,f768]) ).
fof(f25075,plain,
( e0 = e3
| e0 = e1
| e0 = op(e1,e3)
| e0 = op(e1,e0)
| ~ spl3_97
| ~ spl3_128 ),
inference(forward_demodulation,[],[f20147,f714]) ).
fof(f20147,plain,
( e0 = e1
| e0 = op(e1,e3)
| e0 = op(e1,e2)
| e0 = op(e1,e0)
| ~ spl3_128 ),
inference(forward_demodulation,[],[f123,f1192]) ).
fof(f25228,plain,
( spl3_94
| spl3_6
| spl3_4
| ~ spl3_97
| ~ spl3_107
| ~ spl3_128 ),
inference(avatar_split_clause,[],[f25074,f1190,f766,f713,f267,f277,f700]) ).
fof(f25074,plain,
( e1 = e2
| e2 = e3
| e2 = op(e1,e3)
| ~ spl3_97
| ~ spl3_107
| ~ spl3_128 ),
inference(duplicate_literal_removal,[],[f25073]) ).
fof(f25073,plain,
( e1 = e2
| e2 = e3
| e1 = e2
| e2 = op(e1,e3)
| ~ spl3_97
| ~ spl3_107
| ~ spl3_128 ),
inference(forward_demodulation,[],[f25072,f768]) ).
fof(f25072,plain,
( e2 = e3
| e1 = e2
| e2 = op(e1,e3)
| e2 = op(e1,e0)
| ~ spl3_97
| ~ spl3_128 ),
inference(forward_demodulation,[],[f24675,f714]) ).
fof(f25224,plain,
( ~ spl3_114
| spl3_71
| ~ spl3_104 ),
inference(avatar_split_clause,[],[f22754,f743,f599,f844]) ).
fof(f22754,plain,
( op(e0,e0) != e3
| spl3_71
| ~ spl3_104 ),
inference(forward_demodulation,[],[f600,f745]) ).
fof(f600,plain,
( e3 != op(op(e0,e3),op(e0,e3))
| spl3_71 ),
inference(avatar_component_clause,[],[f599]) ).
fof(f25148,plain,
( spl3_3
| spl3_5
| spl3_6
| ~ spl3_74
| ~ spl3_91
| ~ spl3_127
| ~ spl3_128 ),
inference(avatar_split_clause,[],[f25091,f1190,f1177,f687,f614,f277,f272,f262]) ).
fof(f25091,plain,
( e2 = e3
| e1 = e3
| e0 = e3
| ~ spl3_74
| ~ spl3_91
| ~ spl3_127
| ~ spl3_128 ),
inference(forward_demodulation,[],[f25090,f688]) ).
fof(f25090,plain,
( e1 = e3
| e0 = e3
| e3 = op(e0,e1)
| ~ spl3_74
| ~ spl3_127
| ~ spl3_128 ),
inference(duplicate_literal_removal,[],[f25089]) ).
fof(f25089,plain,
( e1 = e3
| e0 = e3
| e1 = e3
| e3 = op(e0,e1)
| ~ spl3_74
| ~ spl3_127
| ~ spl3_128 ),
inference(forward_demodulation,[],[f22526,f1192]) ).
fof(f22526,plain,
( e0 = e3
| e1 = e3
| e3 = op(e1,e1)
| e3 = op(e0,e1)
| ~ spl3_74
| ~ spl3_127 ),
inference(forward_demodulation,[],[f20689,f615]) ).
fof(f20689,plain,
( e1 = e3
| e3 = op(e3,e1)
| e3 = op(e1,e1)
| e3 = op(e0,e1)
| ~ spl3_127 ),
inference(forward_demodulation,[],[f130,f1179]) ).
fof(f25047,plain,
( spl3_134
| spl3_5
| spl3_1
| ~ spl3_96
| ~ spl3_97
| ~ spl3_103 ),
inference(avatar_split_clause,[],[f24825,f739,f713,f709,f252,f272,f1835]) ).
fof(f24825,plain,
( e0 = e1
| e1 = e3
| e1 = op(e3,e2)
| ~ spl3_96
| ~ spl3_97
| ~ spl3_103 ),
inference(duplicate_literal_removal,[],[f24824]) ).
fof(f24824,plain,
( e0 = e1
| e1 = e3
| e0 = e1
| e1 = op(e3,e2)
| ~ spl3_96
| ~ spl3_97
| ~ spl3_103 ),
inference(forward_demodulation,[],[f12513,f741]) ).
fof(f12513,plain,
( e1 = e3
| e0 = e1
| e1 = op(e3,e2)
| e1 = op(e0,e2)
| ~ spl3_96
| ~ spl3_97 ),
inference(forward_demodulation,[],[f3223,f714]) ).
fof(f3223,plain,
( e0 = e1
| e1 = op(e3,e2)
| e1 = op(e1,e2)
| e1 = op(e0,e2)
| ~ spl3_96 ),
inference(forward_demodulation,[],[f134,f710]) ).
fof(f25025,plain,
( spl3_124
| spl3_2
| spl3_6
| ~ spl3_96
| ~ spl3_97
| ~ spl3_103 ),
inference(avatar_split_clause,[],[f24813,f739,f713,f709,f277,f257,f1114]) ).
fof(f24813,plain,
( e2 = e3
| e0 = e2
| e2 = op(e3,e2)
| ~ spl3_96
| ~ spl3_97
| ~ spl3_103 ),
inference(forward_demodulation,[],[f24237,f714]) ).
fof(f24237,plain,
( e0 = e2
| e2 = op(e3,e2)
| e2 = op(e1,e2)
| ~ spl3_96
| ~ spl3_103 ),
inference(duplicate_literal_removal,[],[f23332]) ).
fof(f23332,plain,
( e0 = e2
| e0 = e2
| e2 = op(e3,e2)
| e2 = op(e1,e2)
| ~ spl3_96
| ~ spl3_103 ),
inference(forward_demodulation,[],[f14134,f710]) ).
fof(f14134,plain,
( e0 = e2
| e2 = op(e3,e2)
| e2 = op(e2,e2)
| e2 = op(e1,e2)
| ~ spl3_103 ),
inference(forward_demodulation,[],[f136,f741]) ).
fof(f25007,plain,
( spl3_6
| spl3_3
| ~ spl3_96
| ~ spl3_120
| ~ spl3_123
| ~ spl3_130 ),
inference(avatar_split_clause,[],[f24992,f1267,f1102,f944,f709,f262,f277]) ).
fof(f24992,plain,
( e0 = e3
| e2 = e3
| ~ spl3_96
| ~ spl3_120
| ~ spl3_123
| ~ spl3_130 ),
inference(duplicate_literal_removal,[],[f24991]) ).
fof(f24991,plain,
( e0 = e3
| e2 = e3
| e0 = e3
| ~ spl3_96
| ~ spl3_120
| ~ spl3_123
| ~ spl3_130 ),
inference(forward_demodulation,[],[f24990,f946]) ).
fof(f946,plain,
( e0 = op(e2,e0)
| ~ spl3_120 ),
inference(avatar_component_clause,[],[f944]) ).
fof(f24990,plain,
( e2 = e3
| e0 = e3
| e3 = op(e2,e0)
| ~ spl3_96
| ~ spl3_123
| ~ spl3_130 ),
inference(duplicate_literal_removal,[],[f24989]) ).
fof(f24989,plain,
( e2 = e3
| e0 = e3
| e2 = e3
| e3 = op(e2,e0)
| ~ spl3_96
| ~ spl3_123
| ~ spl3_130 ),
inference(forward_demodulation,[],[f21484,f1104]) ).
fof(f21484,plain,
( e0 = e3
| e2 = e3
| e3 = op(e2,e3)
| e3 = op(e2,e0)
| ~ spl3_96
| ~ spl3_130 ),
inference(forward_demodulation,[],[f20151,f710]) ).
fof(f24961,plain,
( spl3_6
| spl3_5
| spl3_3
| ~ spl3_96
| ~ spl3_120
| ~ spl3_123
| ~ spl3_127 ),
inference(avatar_split_clause,[],[f24941,f1177,f1102,f944,f709,f262,f272,f277]) ).
fof(f24941,plain,
( e0 = e3
| e1 = e3
| e2 = e3
| ~ spl3_96
| ~ spl3_120
| ~ spl3_123
| ~ spl3_127 ),
inference(duplicate_literal_removal,[],[f24940]) ).
fof(f24940,plain,
( e0 = e3
| e1 = e3
| e0 = e3
| e2 = e3
| ~ spl3_96
| ~ spl3_120
| ~ spl3_123
| ~ spl3_127 ),
inference(forward_demodulation,[],[f24939,f946]) ).
fof(f24939,plain,
( e1 = e3
| e0 = e3
| e2 = e3
| e3 = op(e2,e0)
| ~ spl3_96
| ~ spl3_123
| ~ spl3_127 ),
inference(forward_demodulation,[],[f24938,f1179]) ).
fof(f24938,plain,
( e0 = e3
| e2 = e3
| e3 = op(e2,e1)
| e3 = op(e2,e0)
| ~ spl3_96
| ~ spl3_123 ),
inference(forward_demodulation,[],[f23396,f710]) ).
fof(f23396,plain,
( e2 = e3
| e3 = op(e2,e2)
| e3 = op(e2,e1)
| e3 = op(e2,e0)
| ~ spl3_123 ),
inference(forward_demodulation,[],[f137,f1104]) ).
fof(f24936,plain,
( spl3_123
| spl3_4
| spl3_2
| ~ spl3_96
| ~ spl3_120
| ~ spl3_127 ),
inference(avatar_split_clause,[],[f24812,f1177,f944,f709,f257,f267,f1102]) ).
fof(f24812,plain,
( e0 = e2
| e1 = e2
| e2 = op(e2,e3)
| ~ spl3_96
| ~ spl3_120
| ~ spl3_127 ),
inference(duplicate_literal_removal,[],[f24811]) ).
fof(f24811,plain,
( e0 = e2
| e1 = e2
| e0 = e2
| e2 = op(e2,e3)
| ~ spl3_96
| ~ spl3_120
| ~ spl3_127 ),
inference(forward_demodulation,[],[f24548,f946]) ).
fof(f24548,plain,
( e1 = e2
| e0 = e2
| e2 = op(e2,e3)
| e2 = op(e2,e0)
| ~ spl3_96
| ~ spl3_127 ),
inference(forward_demodulation,[],[f12548,f1179]) ).
fof(f12548,plain,
( e0 = e2
| e2 = op(e2,e3)
| e2 = op(e2,e1)
| e2 = op(e2,e0)
| ~ spl3_96 ),
inference(forward_demodulation,[],[f135,f710]) ).
fof(f135,plain,
( e2 = op(e2,e3)
| e2 = op(e2,e2)
| e2 = op(e2,e1)
| e2 = op(e2,e0) ),
inference(cnf_transformation,[],[f2]) ).
fof(f24932,plain,
( ~ spl3_93
| spl3_61
| ~ spl3_118 ),
inference(avatar_split_clause,[],[f19559,f873,f549,f696]) ).
fof(f19559,plain,
( e0 != op(e3,e3)
| spl3_61
| ~ spl3_118 ),
inference(forward_demodulation,[],[f550,f875]) ).
fof(f24783,plain,
( spl3_3
| spl3_6
| spl3_5
| ~ spl3_102
| ~ spl3_127
| ~ spl3_128
| ~ spl3_131 ),
inference(avatar_split_clause,[],[f24691,f1271,f1190,f1177,f735,f272,f277,f262]) ).
fof(f24691,plain,
( e1 = e3
| e2 = e3
| e0 = e3
| ~ spl3_102
| ~ spl3_127
| ~ spl3_128
| ~ spl3_131 ),
inference(duplicate_literal_removal,[],[f24690]) ).
fof(f24690,plain,
( e1 = e3
| e1 = e3
| e2 = e3
| e0 = e3
| ~ spl3_102
| ~ spl3_127
| ~ spl3_128
| ~ spl3_131 ),
inference(forward_demodulation,[],[f12399,f1192]) ).
fof(f12399,plain,
( e1 = e3
| e2 = e3
| e0 = e3
| e3 = op(e1,e1)
| ~ spl3_102
| ~ spl3_127
| ~ spl3_131 ),
inference(forward_demodulation,[],[f11912,f1179]) ).
fof(f11912,plain,
( e2 = e3
| e0 = e3
| e3 = op(e2,e1)
| e3 = op(e1,e1)
| ~ spl3_102
| ~ spl3_131 ),
inference(forward_demodulation,[],[f902,f1273]) ).
fof(f24743,plain,
( spl3_1
| ~ spl3_67
| ~ spl3_88
| ~ spl3_102
| ~ spl3_128 ),
inference(avatar_split_clause,[],[f24708,f1190,f735,f674,f579,f252]) ).
fof(f24708,plain,
( e0 = e1
| ~ spl3_67
| ~ spl3_88
| ~ spl3_102
| ~ spl3_128 ),
inference(forward_demodulation,[],[f24707,f737]) ).
fof(f24707,plain,
( e1 = op(e0,e1)
| ~ spl3_67
| ~ spl3_88
| ~ spl3_128 ),
inference(forward_demodulation,[],[f675,f24700]) ).
fof(f24649,plain,
( spl3_74
| spl3_3
| spl3_1
| ~ spl3_62
| ~ spl3_85
| ~ spl3_127 ),
inference(avatar_split_clause,[],[f24595,f1177,f661,f554,f252,f262,f614]) ).
fof(f24595,plain,
( e0 = e1
| e0 = e3
| e0 = op(e3,e1)
| ~ spl3_62
| ~ spl3_85
| ~ spl3_127 ),
inference(duplicate_literal_removal,[],[f24594]) ).
fof(f24594,plain,
( e0 = e1
| e0 = e1
| e0 = e3
| e0 = op(e3,e1)
| ~ spl3_62
| ~ spl3_85
| ~ spl3_127 ),
inference(forward_demodulation,[],[f24593,f24504]) ).
fof(f24504,plain,
( e1 = op(e1,e1)
| ~ spl3_62
| ~ spl3_127 ),
inference(forward_demodulation,[],[f556,f1179]) ).
fof(f24642,plain,
( spl3_134
| spl3_4
| spl3_1
| ~ spl3_96
| ~ spl3_103
| ~ spl3_122 ),
inference(avatar_split_clause,[],[f24264,f1026,f739,f709,f252,f267,f1835]) ).
fof(f24264,plain,
( e0 = e1
| e1 = e2
| e1 = op(e3,e2)
| ~ spl3_96
| ~ spl3_103
| ~ spl3_122 ),
inference(duplicate_literal_removal,[],[f24263]) ).
fof(f24263,plain,
( e0 = e1
| e1 = e2
| e0 = e1
| e1 = op(e3,e2)
| ~ spl3_96
| ~ spl3_103
| ~ spl3_122 ),
inference(forward_demodulation,[],[f24262,f741]) ).
fof(f24262,plain,
( e1 = e2
| e0 = e1
| e1 = op(e3,e2)
| e1 = op(e0,e2)
| ~ spl3_96
| ~ spl3_122 ),
inference(forward_demodulation,[],[f3223,f1028]) ).
fof(f24641,plain,
( ~ spl3_88
| ~ spl3_116
| ~ spl3_108 ),
inference(avatar_split_clause,[],[f22674,f776,f865,f674]) ).
fof(f22674,plain,
( e3 != op(e1,e0)
| e1 != op(e0,e2)
| ~ spl3_108 ),
inference(trivial_inequality_removal,[],[f1074]) ).
fof(f1074,plain,
( e2 != e2
| e3 != op(e1,e0)
| e1 != op(e0,e2)
| ~ spl3_108 ),
inference(forward_demodulation,[],[f240,f778]) ).
fof(f778,plain,
( op(e0,e0) = e2
| ~ spl3_108 ),
inference(avatar_component_clause,[],[f776]) ).
fof(f240,plain,
( e3 != op(e1,e0)
| op(e0,e0) != e2
| e1 != op(e0,e2) ),
inference(inner_rewriting,[],[f239]) ).
fof(f239,plain,
( e3 != op(op(e0,e2),e0)
| op(e0,e0) != e2
| e1 != op(e0,e2) ),
inference(inner_rewriting,[],[f197]) ).
fof(f197,plain,
( e3 != op(op(e0,op(e0,e0)),e0)
| op(e0,e0) != e2
| e1 != op(e0,op(e0,e0)) ),
inference(cnf_transformation,[],[f48]) ).
fof(f48,plain,
( e3 != op(op(e0,op(e0,e0)),e0)
| op(e0,e0) != e2
| e1 != op(e0,op(e0,e0)) ),
inference(ennf_transformation,[],[f15]) ).
fof(f15,axiom,
~ ( e3 = op(op(e0,op(e0,e0)),e0)
& op(e0,e0) = e2
& e1 = op(e0,op(e0,e0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax15) ).
fof(f24637,plain,
( ~ spl3_80
| spl3_54
| ~ spl3_93 ),
inference(avatar_split_clause,[],[f17479,f696,f517,f640]) ).
fof(f17479,plain,
( e0 != op(e3,e2)
| spl3_54
| ~ spl3_93 ),
inference(superposition,[],[f519,f697]) ).
fof(f24632,plain,
( spl3_128
| ~ spl3_62
| ~ spl3_127 ),
inference(avatar_split_clause,[],[f24504,f1177,f554,f1190]) ).
fof(f24624,plain,
( spl3_93
| ~ spl3_56
| ~ spl3_117 ),
inference(avatar_split_clause,[],[f24381,f869,f526,f696]) ).
fof(f24381,plain,
( e0 = op(e3,e3)
| ~ spl3_56
| ~ spl3_117 ),
inference(forward_demodulation,[],[f528,f871]) ).
fof(f528,plain,
( e0 = op(op(e2,e0),op(e2,e0))
| ~ spl3_56 ),
inference(avatar_component_clause,[],[f526]) ).
fof(f24592,plain,
( spl3_1
| ~ spl3_63
| ~ spl3_85
| ~ spl3_93 ),
inference(avatar_split_clause,[],[f5889,f696,f661,f559,f252]) ).
fof(f5889,plain,
( e0 = e1
| ~ spl3_63
| ~ spl3_85
| ~ spl3_93 ),
inference(forward_demodulation,[],[f861,f697]) ).
fof(f24506,plain,
( spl3_1
| ~ spl3_63
| ~ spl3_85
| ~ spl3_93
| ~ spl3_136 ),
inference(avatar_split_clause,[],[f24407,f2462,f696,f661,f559,f252]) ).
fof(f24407,plain,
( e0 = e1
| ~ spl3_63
| ~ spl3_85
| ~ spl3_93
| ~ spl3_136 ),
inference(forward_demodulation,[],[f24373,f15279]) ).
fof(f15279,plain,
( e0 = op(e0,e0)
| ~ spl3_93
| ~ spl3_136 ),
inference(forward_demodulation,[],[f697,f2752]) ).
fof(f2752,plain,
( e0 = e3
| ~ spl3_93
| ~ spl3_136 ),
inference(superposition,[],[f697,f2464]) ).
fof(f24373,plain,
( op(e0,e0) = e1
| ~ spl3_63
| ~ spl3_85
| ~ spl3_93
| ~ spl3_136 ),
inference(forward_demodulation,[],[f24372,f2752]) ).
fof(f24372,plain,
( e1 = op(e3,e3)
| ~ spl3_63
| ~ spl3_85 ),
inference(forward_demodulation,[],[f561,f662]) ).
fof(f24383,plain,
( spl3_1
| ~ spl3_93
| ~ spl3_110
| ~ spl3_125
| ~ spl3_136 ),
inference(avatar_split_clause,[],[f19016,f2462,f1152,f805,f696,f252]) ).
fof(f19016,plain,
( e0 = e1
| ~ spl3_93
| ~ spl3_110
| ~ spl3_125
| ~ spl3_136 ),
inference(forward_demodulation,[],[f19015,f1154]) ).
fof(f19015,plain,
( e1 = op(e1,e0)
| ~ spl3_93
| ~ spl3_110
| ~ spl3_136 ),
inference(forward_demodulation,[],[f807,f2752]) ).
fof(f24209,plain,
( ~ spl3_117
| spl3_44
| ~ spl3_87 ),
inference(avatar_split_clause,[],[f21181,f670,f467,f869]) ).
fof(f21181,plain,
( e3 != op(e2,e0)
| spl3_44
| ~ spl3_87 ),
inference(superposition,[],[f469,f671]) ).
fof(f24126,plain,
( spl3_3
| ~ spl3_70
| ~ spl3_99
| ~ spl3_111 ),
inference(avatar_split_clause,[],[f24112,f809,f722,f594,f262]) ).
fof(f24112,plain,
( e0 = e3
| ~ spl3_70
| ~ spl3_99
| ~ spl3_111 ),
inference(forward_demodulation,[],[f20366,f723]) ).
fof(f20366,plain,
( e3 = op(e1,e1)
| ~ spl3_70
| ~ spl3_111 ),
inference(forward_demodulation,[],[f596,f811]) ).
fof(f23982,plain,
( spl3_6
| ~ spl3_73
| ~ spl3_89
| ~ spl3_108 ),
inference(avatar_split_clause,[],[f1365,f776,f679,f609,f277]) ).
fof(f1365,plain,
( e2 = e3
| ~ spl3_73
| ~ spl3_89
| ~ spl3_108 ),
inference(forward_demodulation,[],[f1362,f778]) ).
fof(f1362,plain,
( op(e0,e0) = e3
| ~ spl3_73
| ~ spl3_89 ),
inference(superposition,[],[f611,f680]) ).
fof(f23768,plain,
( spl3_124
| spl3_6
| spl3_4
| spl3_2
| ~ spl3_87
| ~ spl3_103
| ~ spl3_129 ),
inference(avatar_split_clause,[],[f23688,f1194,f739,f670,f257,f267,f277,f1114]) ).
fof(f23688,plain,
( e0 = e2
| e1 = e2
| e2 = e3
| e2 = op(e3,e2)
| ~ spl3_87
| ~ spl3_103
| ~ spl3_129 ),
inference(forward_demodulation,[],[f23687,f741]) ).
fof(f23687,plain,
( e1 = e2
| e2 = e3
| e2 = op(e3,e2)
| e2 = op(e0,e2)
| ~ spl3_87
| ~ spl3_129 ),
inference(forward_demodulation,[],[f14326,f1196]) ).
fof(f14326,plain,
( e2 = e3
| e2 = op(e3,e2)
| e2 = op(e1,e2)
| e2 = op(e0,e2)
| ~ spl3_87 ),
inference(forward_demodulation,[],[f136,f671]) ).
fof(f23760,plain,
( spl3_94
| spl3_2
| spl3_4
| spl3_6
| ~ spl3_61
| ~ spl3_92
| ~ spl3_116
| ~ spl3_129 ),
inference(avatar_split_clause,[],[f23681,f1194,f865,f692,f549,f277,f267,f257,f700]) ).
fof(f23681,plain,
( e2 = e3
| e1 = e2
| e0 = e2
| e2 = op(e1,e3)
| ~ spl3_61
| ~ spl3_92
| ~ spl3_116
| ~ spl3_129 ),
inference(forward_demodulation,[],[f23680,f867]) ).
fof(f23680,plain,
( e1 = e2
| e0 = e2
| e2 = op(e1,e3)
| e2 = op(e1,e0)
| ~ spl3_61
| ~ spl3_92
| ~ spl3_129 ),
inference(forward_demodulation,[],[f959,f1196]) ).
fof(f959,plain,
( e0 = e2
| e2 = op(e1,e3)
| e2 = op(e1,e2)
| e2 = op(e1,e0)
| ~ spl3_61
| ~ spl3_92 ),
inference(forward_demodulation,[],[f127,f770]) ).
fof(f770,plain,
( e0 = op(e1,e1)
| ~ spl3_61
| ~ spl3_92 ),
inference(superposition,[],[f551,f693]) ).
fof(f551,plain,
( e0 = op(op(e3,e0),op(e3,e0))
| ~ spl3_61 ),
inference(avatar_component_clause,[],[f549]) ).
fof(f23757,plain,
( ~ spl3_75
| spl3_63
| ~ spl3_85 ),
inference(avatar_split_clause,[],[f23655,f661,f559,f618]) ).
fof(f23655,plain,
( e1 != op(e3,e3)
| spl3_63
| ~ spl3_85 ),
inference(forward_demodulation,[],[f560,f662]) ).
fof(f23747,plain,
( spl3_87
| ~ spl3_72
| ~ spl3_81 ),
inference(avatar_split_clause,[],[f17996,f644,f604,f670]) ).
fof(f17996,plain,
( e3 = op(e2,e2)
| ~ spl3_72
| ~ spl3_81 ),
inference(forward_demodulation,[],[f606,f645]) ).
fof(f606,plain,
( e3 = op(op(e3,e3),op(e3,e3))
| ~ spl3_72 ),
inference(avatar_component_clause,[],[f604]) ).
fof(f23679,plain,
( spl3_3
| ~ spl3_90
| ~ spl3_99 ),
inference(avatar_split_clause,[],[f22783,f722,f683,f262]) ).
fof(f22783,plain,
( e0 = e3
| ~ spl3_90
| ~ spl3_99 ),
inference(superposition,[],[f723,f684]) ).
fof(f23524,plain,
( spl3_124
| spl3_4
| spl3_2
| ~ spl3_60
| ~ spl3_103
| ~ spl3_108
| ~ spl3_129 ),
inference(avatar_split_clause,[],[f23307,f1194,f776,f739,f544,f257,f267,f1114]) ).
fof(f23307,plain,
( e0 = e2
| e1 = e2
| e2 = op(e3,e2)
| ~ spl3_60
| ~ spl3_103
| ~ spl3_108
| ~ spl3_129 ),
inference(duplicate_literal_removal,[],[f23306]) ).
fof(f23306,plain,
( e0 = e2
| e1 = e2
| e0 = e2
| e2 = op(e3,e2)
| ~ spl3_60
| ~ spl3_103
| ~ spl3_108
| ~ spl3_129 ),
inference(forward_demodulation,[],[f23305,f741]) ).
fof(f23305,plain,
( e1 = e2
| e0 = e2
| e2 = op(e3,e2)
| e2 = op(e0,e2)
| ~ spl3_60
| ~ spl3_108
| ~ spl3_129 ),
inference(forward_demodulation,[],[f1080,f1196]) ).
fof(f1080,plain,
( e0 = e2
| e2 = op(e3,e2)
| e2 = op(e1,e2)
| e2 = op(e0,e2)
| ~ spl3_60
| ~ spl3_108 ),
inference(forward_demodulation,[],[f136,f971]) ).
fof(f971,plain,
( e0 = op(e2,e2)
| ~ spl3_60
| ~ spl3_108 ),
inference(superposition,[],[f546,f778]) ).
fof(f23520,plain,
( ~ spl3_93
| spl3_58
| ~ spl3_116 ),
inference(avatar_split_clause,[],[f16603,f865,f535,f696]) ).
fof(f16603,plain,
( e0 != op(e3,e3)
| spl3_58
| ~ spl3_116 ),
inference(superposition,[],[f536,f867]) ).
fof(f536,plain,
( e0 != op(op(e1,e0),op(e1,e0))
| spl3_58 ),
inference(avatar_component_clause,[],[f535]) ).
fof(f23513,plain,
( spl3_4
| spl3_2
| ~ spl3_96
| ~ spl3_111
| ~ spl3_120
| ~ spl3_127 ),
inference(avatar_split_clause,[],[f23485,f1177,f944,f809,f709,f257,f267]) ).
fof(f23485,plain,
( e0 = e2
| e1 = e2
| ~ spl3_96
| ~ spl3_111
| ~ spl3_120
| ~ spl3_127 ),
inference(duplicate_literal_removal,[],[f23484]) ).
fof(f23484,plain,
( e0 = e2
| e0 = e2
| e1 = e2
| ~ spl3_96
| ~ spl3_111
| ~ spl3_120
| ~ spl3_127 ),
inference(forward_demodulation,[],[f23483,f946]) ).
fof(f23483,plain,
( e0 = e2
| e1 = e2
| e2 = op(e2,e0)
| ~ spl3_96
| ~ spl3_111
| ~ spl3_127 ),
inference(forward_demodulation,[],[f20431,f710]) ).
fof(f20431,plain,
( e1 = e2
| e2 = op(e2,e2)
| e2 = op(e2,e0)
| ~ spl3_111
| ~ spl3_127 ),
inference(duplicate_literal_removal,[],[f16373]) ).
fof(f16373,plain,
( e1 = e2
| e1 = e2
| e2 = op(e2,e2)
| e2 = op(e2,e0)
| ~ spl3_111
| ~ spl3_127 ),
inference(forward_demodulation,[],[f13349,f1179]) ).
fof(f13349,plain,
( e1 = e2
| e2 = op(e2,e2)
| e2 = op(e2,e1)
| e2 = op(e2,e0)
| ~ spl3_111 ),
inference(forward_demodulation,[],[f135,f811]) ).
fof(f23456,plain,
( spl3_111
| spl3_1
| ~ spl3_77
| ~ spl3_96
| ~ spl3_120 ),
inference(avatar_split_clause,[],[f23411,f944,f709,f627,f252,f809]) ).
fof(f23411,plain,
( e0 = e1
| e1 = op(e2,e3)
| ~ spl3_77
| ~ spl3_96
| ~ spl3_120 ),
inference(duplicate_literal_removal,[],[f23410]) ).
fof(f23410,plain,
( e0 = e1
| e0 = e1
| e1 = op(e2,e3)
| ~ spl3_77
| ~ spl3_96
| ~ spl3_120 ),
inference(forward_demodulation,[],[f21596,f946]) ).
fof(f21596,plain,
( e0 = e1
| e1 = op(e2,e3)
| e1 = op(e2,e0)
| ~ spl3_77
| ~ spl3_96 ),
inference(duplicate_literal_removal,[],[f21321]) ).
fof(f21321,plain,
( e0 = e1
| e0 = e1
| e1 = op(e2,e3)
| e1 = op(e2,e0)
| ~ spl3_77
| ~ spl3_96 ),
inference(forward_demodulation,[],[f12278,f628]) ).
fof(f23436,plain,
( spl3_6
| spl3_3
| ~ spl3_77
| ~ spl3_96
| ~ spl3_120
| ~ spl3_123 ),
inference(avatar_split_clause,[],[f23414,f1102,f944,f709,f627,f262,f277]) ).
fof(f23414,plain,
( e0 = e3
| e2 = e3
| ~ spl3_77
| ~ spl3_96
| ~ spl3_120
| ~ spl3_123 ),
inference(duplicate_literal_removal,[],[f23413]) ).
fof(f23413,plain,
( e0 = e3
| e2 = e3
| e0 = e3
| ~ spl3_77
| ~ spl3_96
| ~ spl3_120
| ~ spl3_123 ),
inference(forward_demodulation,[],[f23412,f946]) ).
fof(f23412,plain,
( e2 = e3
| e0 = e3
| e3 = op(e2,e0)
| ~ spl3_77
| ~ spl3_96
| ~ spl3_123 ),
inference(forward_demodulation,[],[f21595,f1104]) ).
fof(f21595,plain,
( e0 = e3
| e3 = op(e2,e3)
| e3 = op(e2,e0)
| ~ spl3_77
| ~ spl3_96 ),
inference(duplicate_literal_removal,[],[f21319]) ).
fof(f21319,plain,
( e0 = e3
| e0 = e3
| e3 = op(e2,e3)
| e3 = op(e2,e0)
| ~ spl3_77
| ~ spl3_96 ),
inference(forward_demodulation,[],[f12336,f628]) ).
fof(f12336,plain,
( e0 = e3
| e3 = op(e2,e3)
| e3 = op(e2,e1)
| e3 = op(e2,e0)
| ~ spl3_96 ),
inference(forward_demodulation,[],[f137,f710]) ).
fof(f23434,plain,
( ~ spl3_79
| spl3_21
| ~ spl3_133 ),
inference(avatar_split_clause,[],[f15436,f1377,f352,f635]) ).
fof(f352,plain,
( spl3_21
<=> op(e0,e2) = op(e3,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_21])]) ).
fof(f15436,plain,
( e3 != op(e0,e2)
| spl3_21
| ~ spl3_133 ),
inference(superposition,[],[f354,f1379]) ).
fof(f354,plain,
( op(e0,e2) != op(e3,e2)
| spl3_21 ),
inference(avatar_component_clause,[],[f352]) ).
fof(f23377,plain,
( spl3_137
| spl3_5
| ~ spl3_85
| ~ spl3_90
| ~ spl3_100 ),
inference(avatar_split_clause,[],[f23321,f726,f683,f661,f272,f3902]) ).
fof(f23321,plain,
( e1 = e3
| e1 = op(e3,e1)
| ~ spl3_85
| ~ spl3_90
| ~ spl3_100 ),
inference(duplicate_literal_removal,[],[f23320]) ).
fof(f23320,plain,
( e1 = e3
| e1 = e3
| e1 = op(e3,e1)
| ~ spl3_85
| ~ spl3_90
| ~ spl3_100 ),
inference(forward_demodulation,[],[f23319,f662]) ).
fof(f23319,plain,
( e1 = e3
| e1 = op(e3,e1)
| e1 = op(e0,e1)
| ~ spl3_90
| ~ spl3_100 ),
inference(duplicate_literal_removal,[],[f23318]) ).
fof(f23318,plain,
( e1 = e3
| e1 = e3
| e1 = op(e3,e1)
| e1 = op(e0,e1)
| ~ spl3_90
| ~ spl3_100 ),
inference(forward_demodulation,[],[f20007,f727]) ).
fof(f23371,plain,
( spl3_90
| ~ spl3_71
| ~ spl3_82 ),
inference(avatar_split_clause,[],[f18488,f648,f599,f683]) ).
fof(f18488,plain,
( e3 = op(e1,e1)
| ~ spl3_71
| ~ spl3_82 ),
inference(forward_demodulation,[],[f601,f649]) ).
fof(f23304,plain,
( spl3_128
| ~ spl3_73
| ~ spl3_75
| ~ spl3_132 ),
inference(avatar_split_clause,[],[f23147,f1368,f618,f609,f1190]) ).
fof(f23147,plain,
( e1 = op(e1,e1)
| ~ spl3_73
| ~ spl3_75
| ~ spl3_132 ),
inference(forward_demodulation,[],[f1370,f23141]) ).
fof(f23141,plain,
( e1 = e3
| ~ spl3_73
| ~ spl3_75
| ~ spl3_132 ),
inference(forward_demodulation,[],[f3481,f619]) ).
fof(f23109,plain,
( ~ spl3_131
| ~ spl3_99
| ~ spl3_116 ),
inference(avatar_split_clause,[],[f23104,f865,f722,f1271]) ).
fof(f23104,plain,
( e2 != op(e3,e1)
| ~ spl3_99
| ~ spl3_116 ),
inference(trivial_inequality_removal,[],[f23103]) ).
fof(f23103,plain,
( e3 != e3
| e2 != op(e3,e1)
| ~ spl3_99
| ~ spl3_116 ),
inference(forward_demodulation,[],[f23102,f867]) ).
fof(f23102,plain,
( e2 != op(e3,e1)
| e3 != op(e1,e0)
| ~ spl3_99 ),
inference(trivial_inequality_removal,[],[f23101]) ).
fof(f23101,plain,
( e0 != e0
| e2 != op(e3,e1)
| e3 != op(e1,e0)
| ~ spl3_99 ),
inference(forward_demodulation,[],[f234,f723]) ).
fof(f234,plain,
( e2 != op(e3,e1)
| e0 != op(e1,e1)
| e3 != op(e1,e0) ),
inference(inner_rewriting,[],[f233]) ).
fof(f233,plain,
( e2 != op(op(e1,e0),e1)
| e0 != op(e1,e1)
| e3 != op(e1,e0) ),
inference(inner_rewriting,[],[f194]) ).
fof(f194,plain,
( e2 != op(op(e1,op(e1,e1)),e1)
| e0 != op(e1,e1)
| e3 != op(e1,op(e1,e1)) ),
inference(cnf_transformation,[],[f45]) ).
fof(f45,plain,
( e2 != op(op(e1,op(e1,e1)),e1)
| e0 != op(e1,e1)
| e3 != op(e1,op(e1,e1)) ),
inference(ennf_transformation,[],[f25]) ).
fof(f25,axiom,
~ ( e2 = op(op(e1,op(e1,e1)),e1)
& e0 = op(e1,e1)
& e3 = op(e1,op(e1,e1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax25) ).
fof(f23087,plain,
( spl3_5
| spl3_6
| spl3_3
| ~ spl3_75
| ~ spl3_121
| ~ spl3_124
| ~ spl3_131 ),
inference(avatar_split_clause,[],[f22992,f1271,f1114,f948,f618,f262,f277,f272]) ).
fof(f22992,plain,
( e0 = e3
| e2 = e3
| e1 = e3
| ~ spl3_75
| ~ spl3_121
| ~ spl3_124
| ~ spl3_131 ),
inference(forward_demodulation,[],[f22991,f950]) ).
fof(f950,plain,
( e0 = op(e3,e0)
| ~ spl3_121 ),
inference(avatar_component_clause,[],[f948]) ).
fof(f22991,plain,
( e2 = e3
| e1 = e3
| e3 = op(e3,e0)
| ~ spl3_75
| ~ spl3_124
| ~ spl3_131 ),
inference(duplicate_literal_removal,[],[f22990]) ).
fof(f22990,plain,
( e2 = e3
| e2 = e3
| e1 = e3
| e3 = op(e3,e0)
| ~ spl3_75
| ~ spl3_124
| ~ spl3_131 ),
inference(forward_demodulation,[],[f22989,f1273]) ).
fof(f22989,plain,
( e2 = e3
| e1 = e3
| e3 = op(e3,e1)
| e3 = op(e3,e0)
| ~ spl3_75
| ~ spl3_124 ),
inference(forward_demodulation,[],[f8555,f1116]) ).
fof(f8555,plain,
( e1 = e3
| e3 = op(e3,e2)
| e3 = op(e3,e1)
| e3 = op(e3,e0)
| ~ spl3_75 ),
inference(forward_demodulation,[],[f145,f619]) ).
fof(f23080,plain,
( ~ spl3_120
| spl3_12
| ~ spl3_121 ),
inference(avatar_split_clause,[],[f4568,f948,f307,f944]) ).
fof(f307,plain,
( spl3_12
<=> op(e2,e0) = op(e3,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_12])]) ).
fof(f4568,plain,
( e0 != op(e2,e0)
| spl3_12
| ~ spl3_121 ),
inference(superposition,[],[f309,f950]) ).
fof(f309,plain,
( op(e2,e0) != op(e3,e0)
| spl3_12 ),
inference(avatar_component_clause,[],[f307]) ).
fof(f23078,plain,
( ~ spl3_81
| spl3_67
| ~ spl3_79 ),
inference(avatar_split_clause,[],[f22760,f635,f579,f644]) ).
fof(f22760,plain,
( e2 != op(e3,e3)
| spl3_67
| ~ spl3_79 ),
inference(forward_demodulation,[],[f580,f636]) ).
fof(f23077,plain,
( ~ spl3_78
| spl3_64
| ~ spl3_131 ),
inference(avatar_split_clause,[],[f20534,f1271,f564,f631]) ).
fof(f20534,plain,
( e1 != op(e2,e2)
| spl3_64
| ~ spl3_131 ),
inference(forward_demodulation,[],[f565,f1273]) ).
fof(f22988,plain,
( spl3_1
| ~ spl3_83
| ~ spl3_129 ),
inference(avatar_split_clause,[],[f22873,f1194,f653,f252]) ).
fof(f22873,plain,
( e0 = e1
| ~ spl3_83
| ~ spl3_129 ),
inference(forward_demodulation,[],[f1196,f654]) ).
fof(f22849,plain,
( spl3_105
| ~ spl3_65
| ~ spl3_99 ),
inference(avatar_split_clause,[],[f1098,f722,f569,f749]) ).
fof(f1098,plain,
( op(e0,e0) = e1
| ~ spl3_65
| ~ spl3_99 ),
inference(superposition,[],[f571,f723]) ).
fof(f22846,plain,
( spl3_105
| ~ spl3_64
| ~ spl3_74 ),
inference(avatar_split_clause,[],[f22767,f614,f564,f749]) ).
fof(f22767,plain,
( op(e0,e0) = e1
| ~ spl3_64
| ~ spl3_74 ),
inference(forward_demodulation,[],[f566,f615]) ).
fof(f566,plain,
( e1 = op(op(e3,e1),op(e3,e1))
| ~ spl3_64 ),
inference(avatar_component_clause,[],[f564]) ).
fof(f22788,plain,
( spl3_1
| ~ spl3_65
| ~ spl3_90
| ~ spl3_93 ),
inference(avatar_split_clause,[],[f22762,f696,f683,f569,f252]) ).
fof(f22762,plain,
( e0 = e1
| ~ spl3_65
| ~ spl3_90
| ~ spl3_93 ),
inference(forward_demodulation,[],[f19881,f697]) ).
fof(f19881,plain,
( e1 = op(e3,e3)
| ~ spl3_65
| ~ spl3_90 ),
inference(superposition,[],[f571,f684]) ).
fof(f22664,plain,
( spl3_86
| spl3_2
| spl3_1
| ~ spl3_78
| ~ spl3_112
| ~ spl3_127 ),
inference(avatar_split_clause,[],[f22549,f1177,f826,f631,f252,f257,f666]) ).
fof(f22549,plain,
( e0 = e1
| e0 = e2
| e0 = op(e2,e3)
| ~ spl3_78
| ~ spl3_112
| ~ spl3_127 ),
inference(duplicate_literal_removal,[],[f22548]) ).
fof(f22548,plain,
( e0 = e1
| e0 = e2
| e0 = e1
| e0 = op(e2,e3)
| ~ spl3_78
| ~ spl3_112
| ~ spl3_127 ),
inference(forward_demodulation,[],[f11711,f1179]) ).
fof(f11711,plain,
( e0 = e2
| e0 = e1
| e0 = op(e2,e3)
| e0 = op(e2,e1)
| ~ spl3_78
| ~ spl3_112 ),
inference(forward_demodulation,[],[f3997,f828]) ).
fof(f3997,plain,
( e0 = e1
| e0 = op(e2,e3)
| e0 = op(e2,e1)
| e0 = op(e2,e0)
| ~ spl3_78 ),
inference(forward_demodulation,[],[f131,f632]) ).
fof(f22649,plain,
( spl3_135
| spl3_6
| spl3_5
| ~ spl3_78
| ~ spl3_112
| ~ spl3_127 ),
inference(avatar_split_clause,[],[f22544,f1177,f826,f631,f272,f277,f2114]) ).
fof(f22544,plain,
( e1 = e3
| e2 = e3
| e3 = op(e2,e3)
| ~ spl3_78
| ~ spl3_112
| ~ spl3_127 ),
inference(duplicate_literal_removal,[],[f22543]) ).
fof(f22543,plain,
( e1 = e3
| e2 = e3
| e1 = e3
| e3 = op(e2,e3)
| ~ spl3_78
| ~ spl3_112
| ~ spl3_127 ),
inference(forward_demodulation,[],[f10114,f1179]) ).
fof(f10114,plain,
( e2 = e3
| e1 = e3
| e3 = op(e2,e3)
| e3 = op(e2,e1)
| ~ spl3_78
| ~ spl3_112 ),
inference(forward_demodulation,[],[f4246,f828]) ).
fof(f4246,plain,
( e1 = e3
| e3 = op(e2,e3)
| e3 = op(e2,e1)
| e3 = op(e2,e0)
| ~ spl3_78 ),
inference(forward_demodulation,[],[f137,f632]) ).
fof(f22647,plain,
( ~ spl3_99
| spl3_58
| ~ spl3_107 ),
inference(avatar_split_clause,[],[f14627,f766,f535,f722]) ).
fof(f14627,plain,
( e0 != op(e1,e1)
| spl3_58
| ~ spl3_107 ),
inference(superposition,[],[f536,f768]) ).
fof(f22631,plain,
( spl3_2
| spl3_6
| spl3_4
| ~ spl3_78
| ~ spl3_79
| ~ spl3_83
| ~ spl3_134 ),
inference(avatar_split_clause,[],[f22534,f1835,f653,f635,f631,f267,f277,f257]) ).
fof(f22534,plain,
( e1 = e2
| e2 = e3
| e0 = e2
| ~ spl3_78
| ~ spl3_79
| ~ spl3_83
| ~ spl3_134 ),
inference(duplicate_literal_removal,[],[f22533]) ).
fof(f22533,plain,
( e1 = e2
| e2 = e3
| e0 = e2
| e1 = e2
| ~ spl3_78
| ~ spl3_79
| ~ spl3_83
| ~ spl3_134 ),
inference(forward_demodulation,[],[f22233,f1836]) ).
fof(f22233,plain,
( e2 = e3
| e0 = e2
| e1 = e2
| e2 = op(e3,e2)
| ~ spl3_78
| ~ spl3_79
| ~ spl3_83 ),
inference(forward_demodulation,[],[f22232,f636]) ).
fof(f22232,plain,
( e0 = e2
| e1 = e2
| e2 = op(e3,e2)
| e2 = op(e0,e2)
| ~ spl3_78
| ~ spl3_83 ),
inference(forward_demodulation,[],[f8549,f654]) ).
fof(f8549,plain,
( e1 = e2
| e2 = op(e3,e2)
| e2 = op(e1,e2)
| e2 = op(e0,e2)
| ~ spl3_78 ),
inference(forward_demodulation,[],[f136,f632]) ).
fof(f22629,plain,
( ~ spl3_93
| spl3_61
| ~ spl3_118 ),
inference(avatar_split_clause,[],[f19559,f873,f549,f696]) ).
fof(f22501,plain,
( spl3_3
| spl3_5
| spl3_6
| ~ spl3_74
| ~ spl3_93
| ~ spl3_113
| ~ spl3_134 ),
inference(avatar_split_clause,[],[f22426,f1835,f830,f696,f614,f277,f272,f262]) ).
fof(f22426,plain,
( e2 = e3
| e1 = e3
| e0 = e3
| ~ spl3_74
| ~ spl3_93
| ~ spl3_113
| ~ spl3_134 ),
inference(forward_demodulation,[],[f22425,f832]) ).
fof(f22425,plain,
( e1 = e3
| e0 = e3
| e3 = op(e3,e0)
| ~ spl3_74
| ~ spl3_93
| ~ spl3_134 ),
inference(forward_demodulation,[],[f22424,f1836]) ).
fof(f22424,plain,
( e0 = e3
| e3 = op(e3,e2)
| e3 = op(e3,e0)
| ~ spl3_74
| ~ spl3_93 ),
inference(duplicate_literal_removal,[],[f22423]) ).
fof(f22423,plain,
( e0 = e3
| e0 = e3
| e3 = op(e3,e2)
| e3 = op(e3,e0)
| ~ spl3_74
| ~ spl3_93 ),
inference(forward_demodulation,[],[f13006,f697]) ).
fof(f22345,plain,
( spl3_74
| spl3_3
| spl3_2
| ~ spl3_90
| ~ spl3_91
| ~ spl3_130 ),
inference(avatar_split_clause,[],[f22332,f1267,f687,f683,f257,f262,f614]) ).
fof(f22332,plain,
( e0 = e2
| e0 = e3
| e0 = op(e3,e1)
| ~ spl3_90
| ~ spl3_91
| ~ spl3_130 ),
inference(duplicate_literal_removal,[],[f22331]) ).
fof(f22331,plain,
( e0 = e2
| e0 = e2
| e0 = e3
| e0 = op(e3,e1)
| ~ spl3_90
| ~ spl3_91
| ~ spl3_130 ),
inference(forward_demodulation,[],[f22330,f688]) ).
fof(f22330,plain,
( e0 = e2
| e0 = e3
| e0 = op(e3,e1)
| e0 = op(e0,e1)
| ~ spl3_90
| ~ spl3_130 ),
inference(forward_demodulation,[],[f22051,f1269]) ).
fof(f22051,plain,
( e0 = e3
| e0 = op(e3,e1)
| e0 = op(e2,e1)
| e0 = op(e0,e1)
| ~ spl3_90 ),
inference(forward_demodulation,[],[f124,f684]) ).
fof(f22326,plain,
( spl3_137
| spl3_4
| spl3_5
| ~ spl3_90
| ~ spl3_91
| ~ spl3_130 ),
inference(avatar_split_clause,[],[f22283,f1267,f687,f683,f272,f267,f3902]) ).
fof(f22283,plain,
( e1 = e3
| e1 = e2
| e1 = op(e3,e1)
| ~ spl3_90
| ~ spl3_91
| ~ spl3_130 ),
inference(forward_demodulation,[],[f21880,f684]) ).
fof(f21880,plain,
( e1 = e2
| e1 = op(e3,e1)
| e1 = op(e1,e1)
| ~ spl3_91
| ~ spl3_130 ),
inference(duplicate_literal_removal,[],[f21453]) ).
fof(f21453,plain,
( e1 = e2
| e1 = e2
| e1 = op(e3,e1)
| e1 = op(e1,e1)
| ~ spl3_91
| ~ spl3_130 ),
inference(forward_demodulation,[],[f17552,f688]) ).
fof(f17552,plain,
( e1 = e2
| e1 = op(e3,e1)
| e1 = op(e1,e1)
| e1 = op(e0,e1)
| ~ spl3_130 ),
inference(forward_demodulation,[],[f126,f1269]) ).
fof(f22324,plain,
( ~ spl3_112
| spl3_12
| ~ spl3_113 ),
inference(avatar_split_clause,[],[f12005,f830,f307,f826]) ).
fof(f12005,plain,
( e2 != op(e2,e0)
| spl3_12
| ~ spl3_113 ),
inference(superposition,[],[f309,f832]) ).
fof(f22273,plain,
( spl3_74
| spl3_3
| spl3_2
| ~ spl3_90
| ~ spl3_91
| ~ spl3_100 ),
inference(avatar_split_clause,[],[f22211,f726,f687,f683,f257,f262,f614]) ).
fof(f22211,plain,
( e0 = e2
| e0 = e3
| e0 = op(e3,e1)
| ~ spl3_90
| ~ spl3_91
| ~ spl3_100 ),
inference(forward_demodulation,[],[f22210,f688]) ).
fof(f22210,plain,
( e0 = e3
| e0 = op(e3,e1)
| e0 = op(e0,e1)
| ~ spl3_90
| ~ spl3_100 ),
inference(duplicate_literal_removal,[],[f22209]) ).
fof(f22209,plain,
( e0 = e3
| e0 = e3
| e0 = op(e3,e1)
| e0 = op(e0,e1)
| ~ spl3_90
| ~ spl3_100 ),
inference(forward_demodulation,[],[f21664,f684]) ).
fof(f21664,plain,
( e0 = e3
| e0 = op(e3,e1)
| e0 = op(e1,e1)
| e0 = op(e0,e1)
| ~ spl3_100 ),
inference(forward_demodulation,[],[f124,f727]) ).
fof(f22254,plain,
( spl3_137
| spl3_5
| spl3_4
| ~ spl3_90
| ~ spl3_91
| ~ spl3_100 ),
inference(avatar_split_clause,[],[f22208,f726,f687,f683,f267,f272,f3902]) ).
fof(f22208,plain,
( e1 = e2
| e1 = e3
| e1 = op(e3,e1)
| ~ spl3_90
| ~ spl3_91
| ~ spl3_100 ),
inference(forward_demodulation,[],[f22207,f688]) ).
fof(f22207,plain,
( e1 = e3
| e1 = op(e3,e1)
| e1 = op(e0,e1)
| ~ spl3_90
| ~ spl3_100 ),
inference(duplicate_literal_removal,[],[f22206]) ).
fof(f22206,plain,
( e1 = e3
| e1 = e3
| e1 = op(e3,e1)
| e1 = op(e0,e1)
| ~ spl3_90
| ~ spl3_100 ),
inference(forward_demodulation,[],[f21667,f684]) ).
fof(f21667,plain,
( e1 = e3
| e1 = op(e3,e1)
| e1 = op(e1,e1)
| e1 = op(e0,e1)
| ~ spl3_100 ),
inference(forward_demodulation,[],[f126,f727]) ).
fof(f22245,plain,
( spl3_78
| ~ spl3_63
| ~ spl3_91 ),
inference(avatar_split_clause,[],[f6356,f687,f559,f631]) ).
fof(f6356,plain,
( e1 = op(e2,e2)
| ~ spl3_63
| ~ spl3_91 ),
inference(superposition,[],[f561,f688]) ).
fof(f22185,plain,
( spl3_6
| spl3_2
| spl3_4
| ~ spl3_63
| ~ spl3_86
| ~ spl3_91
| ~ spl3_117
| ~ spl3_127 ),
inference(avatar_split_clause,[],[f22128,f1177,f869,f687,f666,f559,f267,f257,f277]) ).
fof(f22128,plain,
( e1 = e2
| e0 = e2
| e2 = e3
| ~ spl3_63
| ~ spl3_86
| ~ spl3_91
| ~ spl3_117
| ~ spl3_127 ),
inference(duplicate_literal_removal,[],[f22127]) ).
fof(f22127,plain,
( e1 = e2
| e1 = e2
| e0 = e2
| e2 = e3
| ~ spl3_63
| ~ spl3_86
| ~ spl3_91
| ~ spl3_117
| ~ spl3_127 ),
inference(forward_demodulation,[],[f22126,f1179]) ).
fof(f22126,plain,
( e1 = e2
| e0 = e2
| e2 = e3
| e2 = op(e2,e1)
| ~ spl3_63
| ~ spl3_86
| ~ spl3_91
| ~ spl3_117 ),
inference(forward_demodulation,[],[f18430,f6356]) ).
fof(f18430,plain,
( e0 = e2
| e2 = e3
| e2 = op(e2,e2)
| e2 = op(e2,e1)
| ~ spl3_86
| ~ spl3_117 ),
inference(forward_demodulation,[],[f14922,f667]) ).
fof(f14922,plain,
( e2 = e3
| e2 = op(e2,e3)
| e2 = op(e2,e2)
| e2 = op(e2,e1)
| ~ spl3_117 ),
inference(forward_demodulation,[],[f135,f871]) ).
fof(f22180,plain,
( ~ spl3_131
| spl3_53
| ~ spl3_81 ),
inference(avatar_split_clause,[],[f3755,f644,f512,f1271]) ).
fof(f512,plain,
( spl3_53
<=> op(e3,e1) = op(e3,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_53])]) ).
fof(f3755,plain,
( e2 != op(e3,e1)
| spl3_53
| ~ spl3_81 ),
inference(superposition,[],[f514,f645]) ).
fof(f514,plain,
( op(e3,e1) != op(e3,e3)
| spl3_53 ),
inference(avatar_component_clause,[],[f512]) ).
fof(f22166,plain,
( spl3_81
| ~ spl3_67
| ~ spl3_79 ),
inference(avatar_split_clause,[],[f22005,f635,f579,f644]) ).
fof(f22005,plain,
( e2 = op(e3,e3)
| ~ spl3_67
| ~ spl3_79 ),
inference(forward_demodulation,[],[f581,f636]) ).
fof(f22165,plain,
( ~ spl3_75
| spl3_65
| ~ spl3_90 ),
inference(avatar_split_clause,[],[f19888,f683,f569,f618]) ).
fof(f19888,plain,
( e1 != op(e3,e3)
| spl3_65
| ~ spl3_90 ),
inference(forward_demodulation,[],[f570,f684]) ).
fof(f22092,plain,
( spl3_4
| ~ spl3_95
| ~ spl3_112 ),
inference(avatar_split_clause,[],[f3260,f826,f705,f267]) ).
fof(f3260,plain,
( e1 = e2
| ~ spl3_95
| ~ spl3_112 ),
inference(superposition,[],[f828,f706]) ).
fof(f706,plain,
( e1 = op(e2,e0)
| ~ spl3_95 ),
inference(avatar_component_clause,[],[f705]) ).
fof(f22020,plain,
( spl3_4
| ~ spl3_98
| ~ spl3_107 ),
inference(avatar_split_clause,[],[f21912,f766,f718,f267]) ).
fof(f21912,plain,
( e1 = e2
| ~ spl3_98
| ~ spl3_107 ),
inference(forward_demodulation,[],[f719,f768]) ).
fof(f21864,plain,
( spl3_93
| spl3_3
| spl3_2
| ~ spl3_113
| ~ spl3_131
| ~ spl3_133 ),
inference(avatar_split_clause,[],[f21852,f1377,f1271,f830,f257,f262,f696]) ).
fof(f21852,plain,
( e0 = e2
| e0 = e3
| e0 = op(e3,e3)
| ~ spl3_113
| ~ spl3_131
| ~ spl3_133 ),
inference(duplicate_literal_removal,[],[f21851]) ).
fof(f21851,plain,
( e0 = e2
| e0 = e2
| e0 = e3
| e0 = op(e3,e3)
| ~ spl3_113
| ~ spl3_131
| ~ spl3_133 ),
inference(forward_demodulation,[],[f12020,f1273]) ).
fof(f12020,plain,
( e0 = e2
| e0 = e3
| e0 = op(e3,e3)
| e0 = op(e3,e1)
| ~ spl3_113
| ~ spl3_133 ),
inference(forward_demodulation,[],[f11329,f832]) ).
fof(f11329,plain,
( e0 = e3
| e0 = op(e3,e3)
| e0 = op(e3,e1)
| e0 = op(e3,e0)
| ~ spl3_133 ),
inference(forward_demodulation,[],[f139,f1379]) ).
fof(f21850,plain,
( spl3_133
| spl3_5
| spl3_6
| ~ spl3_75
| ~ spl3_113
| ~ spl3_131 ),
inference(avatar_split_clause,[],[f21814,f1271,f830,f618,f277,f272,f1377]) ).
fof(f21814,plain,
( e2 = e3
| e1 = e3
| e3 = op(e3,e2)
| ~ spl3_75
| ~ spl3_113
| ~ spl3_131 ),
inference(duplicate_literal_removal,[],[f21813]) ).
fof(f21813,plain,
( e2 = e3
| e1 = e3
| e2 = e3
| e3 = op(e3,e2)
| ~ spl3_75
| ~ spl3_113
| ~ spl3_131 ),
inference(forward_demodulation,[],[f21812,f832]) ).
fof(f21812,plain,
( e1 = e3
| e2 = e3
| e3 = op(e3,e2)
| e3 = op(e3,e0)
| ~ spl3_75
| ~ spl3_131 ),
inference(forward_demodulation,[],[f14127,f619]) ).
fof(f14127,plain,
( e2 = e3
| e3 = op(e3,e3)
| e3 = op(e3,e2)
| e3 = op(e3,e0)
| ~ spl3_131 ),
inference(forward_demodulation,[],[f145,f1273]) ).
fof(f21798,plain,
( spl3_6
| ~ spl3_94
| ~ spl3_132 ),
inference(avatar_split_clause,[],[f21797,f1368,f700,f277]) ).
fof(f21797,plain,
( e2 = e3
| ~ spl3_94
| ~ spl3_132 ),
inference(forward_demodulation,[],[f1370,f701]) ).
fof(f21791,plain,
( spl3_132
| spl3_135
| spl3_5
| ~ spl3_62
| ~ spl3_82
| ~ spl3_100 ),
inference(avatar_split_clause,[],[f21746,f726,f648,f554,f272,f2114,f1368]) ).
fof(f21746,plain,
( e1 = e3
| e3 = op(e2,e3)
| e3 = op(e1,e3)
| ~ spl3_62
| ~ spl3_82
| ~ spl3_100 ),
inference(duplicate_literal_removal,[],[f21745]) ).
fof(f21745,plain,
( e1 = e3
| e1 = e3
| e3 = op(e2,e3)
| e3 = op(e1,e3)
| ~ spl3_62
| ~ spl3_82
| ~ spl3_100 ),
inference(forward_demodulation,[],[f4349,f649]) ).
fof(f4349,plain,
( e1 = e3
| e3 = op(e2,e3)
| e3 = op(e1,e3)
| e3 = op(e0,e3)
| ~ spl3_62
| ~ spl3_100 ),
inference(forward_demodulation,[],[f146,f3958]) ).
fof(f21776,plain,
( spl3_94
| spl3_123
| spl3_4
| ~ spl3_62
| ~ spl3_82
| ~ spl3_100 ),
inference(avatar_split_clause,[],[f21744,f726,f648,f554,f267,f1102,f700]) ).
fof(f21744,plain,
( e1 = e2
| e2 = op(e2,e3)
| e2 = op(e1,e3)
| ~ spl3_62
| ~ spl3_82
| ~ spl3_100 ),
inference(duplicate_literal_removal,[],[f21743]) ).
fof(f21743,plain,
( e1 = e2
| e1 = e2
| e2 = op(e2,e3)
| e2 = op(e1,e3)
| ~ spl3_62
| ~ spl3_82
| ~ spl3_100 ),
inference(forward_demodulation,[],[f6369,f649]) ).
fof(f6369,plain,
( e1 = e2
| e2 = op(e2,e3)
| e2 = op(e1,e3)
| e2 = op(e0,e3)
| ~ spl3_62
| ~ spl3_100 ),
inference(forward_demodulation,[],[f144,f3958]) ).
fof(f21766,plain,
( spl3_75
| ~ spl3_62
| ~ spl3_100 ),
inference(avatar_split_clause,[],[f21737,f726,f554,f618]) ).
fof(f21737,plain,
( e1 = op(e3,e3)
| ~ spl3_62
| ~ spl3_100 ),
inference(forward_demodulation,[],[f556,f727]) ).
fof(f21742,plain,
( spl3_3
| ~ spl3_72
| ~ spl3_75
| ~ spl3_99 ),
inference(avatar_split_clause,[],[f17132,f722,f618,f604,f262]) ).
fof(f17132,plain,
( e0 = e3
| ~ spl3_72
| ~ spl3_75
| ~ spl3_99 ),
inference(forward_demodulation,[],[f8776,f723]) ).
fof(f8776,plain,
( e3 = op(e1,e1)
| ~ spl3_72
| ~ spl3_75 ),
inference(forward_demodulation,[],[f606,f619]) ).
fof(f21650,plain,
( spl3_134
| spl3_1
| spl3_5
| spl3_4
| ~ spl3_79
| ~ spl3_96
| ~ spl3_122 ),
inference(avatar_split_clause,[],[f21551,f1026,f709,f635,f267,f272,f252,f1835]) ).
fof(f21551,plain,
( e1 = e2
| e1 = e3
| e0 = e1
| e1 = op(e3,e2)
| ~ spl3_79
| ~ spl3_96
| ~ spl3_122 ),
inference(forward_demodulation,[],[f21375,f1028]) ).
fof(f21375,plain,
( e1 = e3
| e0 = e1
| e1 = op(e3,e2)
| e1 = op(e1,e2)
| ~ spl3_79
| ~ spl3_96 ),
inference(forward_demodulation,[],[f3223,f636]) ).
fof(f21634,plain,
( spl3_89
| spl3_1
| spl3_2
| spl3_3
| ~ spl3_116
| ~ spl3_122
| ~ spl3_128 ),
inference(avatar_split_clause,[],[f21542,f1190,f1026,f865,f262,f257,f252,f679]) ).
fof(f21542,plain,
( e0 = e3
| e0 = e2
| e0 = e1
| e0 = op(e1,e3)
| ~ spl3_116
| ~ spl3_122
| ~ spl3_128 ),
inference(forward_demodulation,[],[f21541,f867]) ).
fof(f21541,plain,
( e0 = e2
| e0 = e1
| e0 = op(e1,e3)
| e0 = op(e1,e0)
| ~ spl3_122
| ~ spl3_128 ),
inference(forward_demodulation,[],[f20147,f1028]) ).
fof(f21615,plain,
( spl3_123
| spl3_2
| spl3_4
| ~ spl3_77
| ~ spl3_95
| ~ spl3_96 ),
inference(avatar_split_clause,[],[f21598,f709,f705,f627,f267,f257,f1102]) ).
fof(f21598,plain,
( e1 = e2
| e0 = e2
| e2 = op(e2,e3)
| ~ spl3_77
| ~ spl3_95
| ~ spl3_96 ),
inference(forward_demodulation,[],[f21318,f706]) ).
fof(f21318,plain,
( e0 = e2
| e2 = op(e2,e3)
| e2 = op(e2,e0)
| ~ spl3_77
| ~ spl3_96 ),
inference(duplicate_literal_removal,[],[f21317]) ).
fof(f21317,plain,
( e0 = e2
| e0 = e2
| e2 = op(e2,e3)
| e2 = op(e2,e0)
| ~ spl3_77
| ~ spl3_96 ),
inference(forward_demodulation,[],[f12548,f628]) ).
fof(f21593,plain,
( spl3_119
| spl3_6
| spl3_5
| ~ spl3_91
| ~ spl3_128
| ~ spl3_130 ),
inference(avatar_split_clause,[],[f21554,f1267,f1190,f687,f272,f277,f898]) ).
fof(f21554,plain,
( e1 = e3
| e2 = e3
| e3 = op(e3,e1)
| ~ spl3_91
| ~ spl3_128
| ~ spl3_130 ),
inference(forward_demodulation,[],[f21451,f1192]) ).
fof(f21451,plain,
( e2 = e3
| e3 = op(e3,e1)
| e3 = op(e1,e1)
| ~ spl3_91
| ~ spl3_130 ),
inference(duplicate_literal_removal,[],[f21450]) ).
fof(f21450,plain,
( e2 = e3
| e2 = e3
| e3 = op(e3,e1)
| e3 = op(e1,e1)
| ~ spl3_91
| ~ spl3_130 ),
inference(forward_demodulation,[],[f20139,f688]) ).
fof(f20139,plain,
( e2 = e3
| e3 = op(e3,e1)
| e3 = op(e1,e1)
| e3 = op(e0,e1)
| ~ spl3_130 ),
inference(forward_demodulation,[],[f130,f1269]) ).
fof(f21547,plain,
( spl3_5
| ~ spl3_72
| ~ spl3_75
| ~ spl3_128 ),
inference(avatar_split_clause,[],[f21543,f1190,f618,f604,f272]) ).
fof(f21543,plain,
( e1 = e3
| ~ spl3_72
| ~ spl3_75
| ~ spl3_128 ),
inference(forward_demodulation,[],[f8776,f1192]) ).
fof(f21525,plain,
( spl3_135
| spl3_6
| spl3_5
| spl3_3
| ~ spl3_95
| ~ spl3_96
| ~ spl3_130 ),
inference(avatar_split_clause,[],[f21483,f1267,f709,f705,f262,f272,f277,f2114]) ).
fof(f21483,plain,
( e0 = e3
| e1 = e3
| e2 = e3
| e3 = op(e2,e3)
| ~ spl3_95
| ~ spl3_96
| ~ spl3_130 ),
inference(forward_demodulation,[],[f20152,f710]) ).
fof(f20152,plain,
( e1 = e3
| e2 = e3
| e3 = op(e2,e3)
| e3 = op(e2,e2)
| ~ spl3_95
| ~ spl3_130 ),
inference(forward_demodulation,[],[f20151,f706]) ).
fof(f21475,plain,
( spl3_124
| spl3_4
| spl3_6
| spl3_2
| ~ spl3_79
| ~ spl3_96
| ~ spl3_129 ),
inference(avatar_split_clause,[],[f21382,f1194,f709,f635,f257,f277,f267,f1114]) ).
fof(f21382,plain,
( e0 = e2
| e2 = e3
| e1 = e2
| e2 = op(e3,e2)
| ~ spl3_79
| ~ spl3_96
| ~ spl3_129 ),
inference(forward_demodulation,[],[f17058,f710]) ).
fof(f17058,plain,
( e2 = e3
| e1 = e2
| e2 = op(e3,e2)
| e2 = op(e2,e2)
| ~ spl3_79
| ~ spl3_129 ),
inference(forward_demodulation,[],[f14032,f636]) ).
fof(f21470,plain,
( spl3_93
| spl3_2
| spl3_1
| ~ spl3_82
| ~ spl3_110
| ~ spl3_123 ),
inference(avatar_split_clause,[],[f21409,f1102,f805,f648,f252,f257,f696]) ).
fof(f21409,plain,
( e0 = e1
| e0 = e2
| e0 = op(e3,e3)
| ~ spl3_82
| ~ spl3_110
| ~ spl3_123 ),
inference(duplicate_literal_removal,[],[f21408]) ).
fof(f21408,plain,
( e0 = e1
| e0 = e1
| e0 = e2
| e0 = op(e3,e3)
| ~ spl3_82
| ~ spl3_110
| ~ spl3_123 ),
inference(forward_demodulation,[],[f21407,f649]) ).
fof(f21407,plain,
( e0 = e1
| e0 = e2
| e0 = op(e3,e3)
| e0 = op(e0,e3)
| ~ spl3_110
| ~ spl3_123 ),
inference(forward_demodulation,[],[f6001,f807]) ).
fof(f6001,plain,
( e0 = e2
| e0 = op(e3,e3)
| e0 = op(e1,e3)
| e0 = op(e0,e3)
| ~ spl3_123 ),
inference(forward_demodulation,[],[f140,f1104]) ).
fof(f21462,plain,
( spl3_5
| spl3_6
| spl3_3
| ~ spl3_95
| ~ spl3_96
| ~ spl3_123
| ~ spl3_130 ),
inference(avatar_split_clause,[],[f21445,f1267,f1102,f709,f705,f262,f277,f272]) ).
fof(f21445,plain,
( e0 = e3
| e2 = e3
| e1 = e3
| ~ spl3_95
| ~ spl3_96
| ~ spl3_123
| ~ spl3_130 ),
inference(forward_demodulation,[],[f21444,f710]) ).
fof(f21444,plain,
( e2 = e3
| e1 = e3
| e3 = op(e2,e2)
| ~ spl3_95
| ~ spl3_123
| ~ spl3_130 ),
inference(duplicate_literal_removal,[],[f21443]) ).
fof(f21443,plain,
( e2 = e3
| e1 = e3
| e2 = e3
| e3 = op(e2,e2)
| ~ spl3_95
| ~ spl3_123
| ~ spl3_130 ),
inference(forward_demodulation,[],[f20152,f1104]) ).
fof(f21432,plain,
( spl3_6
| spl3_3
| spl3_5
| ~ spl3_77
| ~ spl3_95
| ~ spl3_96
| ~ spl3_123 ),
inference(avatar_split_clause,[],[f21414,f1102,f709,f705,f627,f272,f262,f277]) ).
fof(f21414,plain,
( e1 = e3
| e0 = e3
| e2 = e3
| ~ spl3_77
| ~ spl3_95
| ~ spl3_96
| ~ spl3_123 ),
inference(forward_demodulation,[],[f21413,f706]) ).
fof(f21413,plain,
( e0 = e3
| e2 = e3
| e3 = op(e2,e0)
| ~ spl3_77
| ~ spl3_96
| ~ spl3_123 ),
inference(duplicate_literal_removal,[],[f21412]) ).
fof(f21412,plain,
( e0 = e3
| e0 = e3
| e2 = e3
| e3 = op(e2,e0)
| ~ spl3_77
| ~ spl3_96
| ~ spl3_123 ),
inference(forward_demodulation,[],[f3116,f628]) ).
fof(f3116,plain,
( e0 = e3
| e2 = e3
| e3 = op(e2,e1)
| e3 = op(e2,e0)
| ~ spl3_96
| ~ spl3_123 ),
inference(forward_demodulation,[],[f3115,f710]) ).
fof(f3115,plain,
( e2 = e3
| e3 = op(e2,e2)
| e3 = op(e2,e1)
| e3 = op(e2,e0)
| ~ spl3_123 ),
inference(forward_demodulation,[],[f137,f1104]) ).
fof(f21406,plain,
( spl3_123
| spl3_81
| spl3_4
| ~ spl3_82
| ~ spl3_110 ),
inference(avatar_split_clause,[],[f19922,f805,f648,f267,f644,f1102]) ).
fof(f19922,plain,
( e1 = e2
| e2 = op(e3,e3)
| e2 = op(e2,e3)
| ~ spl3_82
| ~ spl3_110 ),
inference(duplicate_literal_removal,[],[f18286]) ).
fof(f18286,plain,
( e1 = e2
| e1 = e2
| e2 = op(e3,e3)
| e2 = op(e2,e3)
| ~ spl3_82
| ~ spl3_110 ),
inference(forward_demodulation,[],[f8019,f649]) ).
fof(f8019,plain,
( e1 = e2
| e2 = op(e3,e3)
| e2 = op(e2,e3)
| e2 = op(e0,e3)
| ~ spl3_110 ),
inference(forward_demodulation,[],[f144,f807]) ).
fof(f21395,plain,
( spl3_135
| spl3_136
| spl3_5
| ~ spl3_82
| ~ spl3_110 ),
inference(avatar_split_clause,[],[f19500,f805,f648,f272,f2462,f2114]) ).
fof(f19500,plain,
( e1 = e3
| e3 = op(e3,e3)
| e3 = op(e2,e3)
| ~ spl3_82
| ~ spl3_110 ),
inference(duplicate_literal_removal,[],[f18282]) ).
fof(f18282,plain,
( e1 = e3
| e1 = e3
| e3 = op(e3,e3)
| e3 = op(e2,e3)
| ~ spl3_82
| ~ spl3_110 ),
inference(forward_demodulation,[],[f17540,f649]) ).
fof(f21373,plain,
( spl3_84
| ~ spl3_68
| ~ spl3_134 ),
inference(avatar_split_clause,[],[f15902,f1835,f584,f657]) ).
fof(f15902,plain,
( e2 = op(e1,e1)
| ~ spl3_68
| ~ spl3_134 ),
inference(forward_demodulation,[],[f586,f1836]) ).
fof(f21355,plain,
( spl3_134
| spl3_1
| spl3_5
| ~ spl3_79
| ~ spl3_83
| ~ spl3_96 ),
inference(avatar_split_clause,[],[f21325,f709,f653,f635,f272,f252,f1835]) ).
fof(f21325,plain,
( e1 = e3
| e0 = e1
| e1 = op(e3,e2)
| ~ spl3_79
| ~ spl3_83
| ~ spl3_96 ),
inference(forward_demodulation,[],[f21324,f636]) ).
fof(f21324,plain,
( e0 = e1
| e1 = op(e3,e2)
| e1 = op(e0,e2)
| ~ spl3_83
| ~ spl3_96 ),
inference(duplicate_literal_removal,[],[f21323]) ).
fof(f21323,plain,
( e0 = e1
| e0 = e1
| e1 = op(e3,e2)
| e1 = op(e0,e2)
| ~ spl3_83
| ~ spl3_96 ),
inference(forward_demodulation,[],[f3223,f654]) ).
fof(f21353,plain,
( ~ spl3_112
| spl3_12
| ~ spl3_113 ),
inference(avatar_split_clause,[],[f12005,f830,f307,f826]) ).
fof(f21343,plain,
( spl3_96
| ~ spl3_61
| ~ spl3_113 ),
inference(avatar_split_clause,[],[f14757,f830,f549,f709]) ).
fof(f14757,plain,
( e0 = op(e2,e2)
| ~ spl3_61
| ~ spl3_113 ),
inference(forward_demodulation,[],[f551,f832]) ).
fof(f21309,plain,
( spl3_98
| spl3_4
| spl3_2
| ~ spl3_83
| ~ spl3_99
| ~ spl3_110 ),
inference(avatar_split_clause,[],[f19494,f805,f722,f653,f257,f267,f718]) ).
fof(f19494,plain,
( e0 = e2
| e1 = e2
| e2 = op(e1,e0)
| ~ spl3_83
| ~ spl3_99
| ~ spl3_110 ),
inference(duplicate_literal_removal,[],[f16910]) ).
fof(f16910,plain,
( e0 = e2
| e0 = e2
| e1 = e2
| e2 = op(e1,e0)
| ~ spl3_83
| ~ spl3_99
| ~ spl3_110 ),
inference(forward_demodulation,[],[f16865,f654]) ).
fof(f16865,plain,
( e0 = e2
| e1 = e2
| e2 = op(e1,e2)
| e2 = op(e1,e0)
| ~ spl3_99
| ~ spl3_110 ),
inference(forward_demodulation,[],[f16864,f723]) ).
fof(f16864,plain,
( e1 = e2
| e2 = op(e1,e2)
| e2 = op(e1,e1)
| e2 = op(e1,e0)
| ~ spl3_110 ),
inference(forward_demodulation,[],[f127,f807]) ).
fof(f21198,plain,
( ~ spl3_79
| spl3_20
| ~ spl3_87 ),
inference(avatar_split_clause,[],[f16081,f670,f347,f635]) ).
fof(f347,plain,
( spl3_20
<=> op(e0,e2) = op(e2,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_20])]) ).
fof(f16081,plain,
( e3 != op(e0,e2)
| spl3_20
| ~ spl3_87 ),
inference(superposition,[],[f349,f671]) ).
fof(f349,plain,
( op(e0,e2) != op(e2,e2)
| spl3_20 ),
inference(avatar_component_clause,[],[f347]) ).
fof(f21188,plain,
( spl3_81
| ~ spl3_67
| ~ spl3_79 ),
inference(avatar_split_clause,[],[f21128,f635,f579,f644]) ).
fof(f21128,plain,
( e2 = op(e3,e3)
| ~ spl3_67
| ~ spl3_79 ),
inference(forward_demodulation,[],[f581,f636]) ).
fof(f21186,plain,
( ~ spl3_126
| spl3_69
| ~ spl3_122 ),
inference(avatar_split_clause,[],[f21125,f1026,f589,f1164]) ).
fof(f21125,plain,
( e2 != op(e2,e2)
| spl3_69
| ~ spl3_122 ),
inference(forward_demodulation,[],[f590,f1028]) ).
fof(f590,plain,
( e2 != op(op(e1,e2),op(e1,e2))
| spl3_69 ),
inference(avatar_component_clause,[],[f589]) ).
fof(f21178,plain,
( spl3_87
| ~ spl3_71
| ~ spl3_76 ),
inference(avatar_split_clause,[],[f21114,f622,f599,f670]) ).
fof(f21131,plain,
( spl3_2
| ~ spl3_77
| ~ spl3_130 ),
inference(avatar_split_clause,[],[f21048,f1267,f627,f257]) ).
fof(f21048,plain,
( e0 = e2
| ~ spl3_77
| ~ spl3_130 ),
inference(forward_demodulation,[],[f1269,f628]) ).
fof(f21011,plain,
( spl3_80
| spl3_2
| spl3_3
| ~ spl3_79
| ~ spl3_122
| ~ spl3_126 ),
inference(avatar_split_clause,[],[f20919,f1164,f1026,f635,f262,f257,f640]) ).
fof(f20919,plain,
( e0 = e3
| e0 = e2
| e0 = op(e3,e2)
| ~ spl3_79
| ~ spl3_122
| ~ spl3_126 ),
inference(forward_demodulation,[],[f20918,f636]) ).
fof(f20918,plain,
( e0 = e2
| e0 = op(e3,e2)
| e0 = op(e0,e2)
| ~ spl3_122
| ~ spl3_126 ),
inference(duplicate_literal_removal,[],[f20917]) ).
fof(f20917,plain,
( e0 = e2
| e0 = e2
| e0 = op(e3,e2)
| e0 = op(e0,e2)
| ~ spl3_122
| ~ spl3_126 ),
inference(forward_demodulation,[],[f16831,f1166]) ).
fof(f16831,plain,
( e0 = e2
| e0 = op(e3,e2)
| e0 = op(e2,e2)
| e0 = op(e0,e2)
| ~ spl3_122 ),
inference(forward_demodulation,[],[f132,f1028]) ).
fof(f21000,plain,
( spl3_5
| spl3_3
| spl3_6
| ~ spl3_92
| ~ spl3_93
| ~ spl3_124
| ~ spl3_131 ),
inference(avatar_split_clause,[],[f20904,f1271,f1114,f696,f692,f277,f262,f272]) ).
fof(f20904,plain,
( e2 = e3
| e0 = e3
| e1 = e3
| ~ spl3_92
| ~ spl3_93
| ~ spl3_124
| ~ spl3_131 ),
inference(duplicate_literal_removal,[],[f20903]) ).
fof(f20903,plain,
( e2 = e3
| e0 = e3
| e1 = e3
| e2 = e3
| ~ spl3_92
| ~ spl3_93
| ~ spl3_124
| ~ spl3_131 ),
inference(forward_demodulation,[],[f20902,f1116]) ).
fof(f20902,plain,
( e0 = e3
| e1 = e3
| e2 = e3
| e3 = op(e3,e2)
| ~ spl3_92
| ~ spl3_93
| ~ spl3_131 ),
inference(forward_demodulation,[],[f18367,f697]) ).
fof(f18367,plain,
( e1 = e3
| e2 = e3
| e3 = op(e3,e3)
| e3 = op(e3,e2)
| ~ spl3_92
| ~ spl3_131 ),
inference(forward_demodulation,[],[f14127,f693]) ).
fof(f20996,plain,
( ~ spl3_80
| spl3_54
| ~ spl3_93 ),
inference(avatar_split_clause,[],[f17479,f696,f517,f640]) ).
fof(f20994,plain,
( ~ spl3_78
| spl3_64
| ~ spl3_131 ),
inference(avatar_split_clause,[],[f20534,f1271,f564,f631]) ).
fof(f20874,plain,
( spl3_84
| ~ spl3_66
| ~ spl3_78 ),
inference(avatar_split_clause,[],[f4249,f631,f574,f657]) ).
fof(f574,plain,
( spl3_66
<=> e2 = op(op(e2,e2),op(e2,e2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_66])]) ).
fof(f4249,plain,
( e2 = op(e1,e1)
| ~ spl3_66
| ~ spl3_78 ),
inference(forward_demodulation,[],[f576,f632]) ).
fof(f576,plain,
( e2 = op(op(e2,e2),op(e2,e2))
| ~ spl3_66 ),
inference(avatar_component_clause,[],[f574]) ).
fof(f20813,plain,
( spl3_1
| ~ spl3_65
| ~ spl3_73
| ~ spl3_93
| ~ spl3_110 ),
inference(avatar_split_clause,[],[f20755,f805,f696,f609,f569,f252]) ).
fof(f20755,plain,
( e0 = e1
| ~ spl3_65
| ~ spl3_73
| ~ spl3_93
| ~ spl3_110 ),
inference(forward_demodulation,[],[f19375,f697]) ).
fof(f20745,plain,
( spl3_74
| spl3_1
| spl3_2
| ~ spl3_91
| ~ spl3_127
| ~ spl3_128 ),
inference(avatar_split_clause,[],[f20588,f1190,f1177,f687,f257,f252,f614]) ).
fof(f20588,plain,
( e0 = e2
| e0 = e1
| e0 = op(e3,e1)
| ~ spl3_91
| ~ spl3_127
| ~ spl3_128 ),
inference(forward_demodulation,[],[f20587,f688]) ).
fof(f20587,plain,
( e0 = e1
| e0 = op(e3,e1)
| e0 = op(e0,e1)
| ~ spl3_127
| ~ spl3_128 ),
inference(duplicate_literal_removal,[],[f20586]) ).
fof(f20586,plain,
( e0 = e1
| e0 = e1
| e0 = op(e3,e1)
| e0 = op(e0,e1)
| ~ spl3_127
| ~ spl3_128 ),
inference(forward_demodulation,[],[f1575,f1192]) ).
fof(f1575,plain,
( e0 = e1
| e0 = op(e3,e1)
| e0 = op(e1,e1)
| e0 = op(e0,e1)
| ~ spl3_127 ),
inference(forward_demodulation,[],[f124,f1179]) ).
fof(f20732,plain,
( spl3_86
| spl3_3
| spl3_1
| ~ spl3_63
| ~ spl3_91
| ~ spl3_117
| ~ spl3_127 ),
inference(avatar_split_clause,[],[f20566,f1177,f869,f687,f559,f252,f262,f666]) ).
fof(f20566,plain,
( e0 = e1
| e0 = e3
| e0 = op(e2,e3)
| ~ spl3_63
| ~ spl3_91
| ~ spl3_117
| ~ spl3_127 ),
inference(duplicate_literal_removal,[],[f20565]) ).
fof(f20565,plain,
( e0 = e1
| e0 = e1
| e0 = e3
| e0 = op(e2,e3)
| ~ spl3_63
| ~ spl3_91
| ~ spl3_117
| ~ spl3_127 ),
inference(forward_demodulation,[],[f18533,f1179]) ).
fof(f18533,plain,
( e0 = e1
| e0 = e3
| e0 = op(e2,e3)
| e0 = op(e2,e1)
| ~ spl3_63
| ~ spl3_91
| ~ spl3_117 ),
inference(forward_demodulation,[],[f14918,f6356]) ).
fof(f14918,plain,
( e0 = e3
| e0 = op(e2,e3)
| e0 = op(e2,e2)
| e0 = op(e2,e1)
| ~ spl3_117 ),
inference(forward_demodulation,[],[f131,f871]) ).
fof(f20669,plain,
( spl3_5
| spl3_6
| ~ spl3_91
| ~ spl3_127
| ~ spl3_128
| ~ spl3_131 ),
inference(avatar_split_clause,[],[f20585,f1271,f1190,f1177,f687,f277,f272]) ).
fof(f20585,plain,
( e2 = e3
| e1 = e3
| ~ spl3_91
| ~ spl3_127
| ~ spl3_128
| ~ spl3_131 ),
inference(duplicate_literal_removal,[],[f20584]) ).
fof(f20584,plain,
( e2 = e3
| e1 = e3
| e2 = e3
| ~ spl3_91
| ~ spl3_127
| ~ spl3_128
| ~ spl3_131 ),
inference(forward_demodulation,[],[f20583,f688]) ).
fof(f20583,plain,
( e1 = e3
| e2 = e3
| e3 = op(e0,e1)
| ~ spl3_127
| ~ spl3_128
| ~ spl3_131 ),
inference(duplicate_literal_removal,[],[f20582]) ).
fof(f20582,plain,
( e1 = e3
| e2 = e3
| e1 = e3
| e3 = op(e0,e1)
| ~ spl3_127
| ~ spl3_128
| ~ spl3_131 ),
inference(forward_demodulation,[],[f20581,f1192]) ).
fof(f20581,plain,
( e2 = e3
| e1 = e3
| e3 = op(e1,e1)
| e3 = op(e0,e1)
| ~ spl3_127
| ~ spl3_131 ),
inference(forward_demodulation,[],[f1535,f1273]) ).
fof(f1535,plain,
( e1 = e3
| e3 = op(e3,e1)
| e3 = op(e1,e1)
| e3 = op(e0,e1)
| ~ spl3_127 ),
inference(forward_demodulation,[],[f130,f1179]) ).
fof(f20668,plain,
( ~ spl3_78
| spl3_64
| ~ spl3_131 ),
inference(avatar_split_clause,[],[f20534,f1271,f564,f631]) ).
fof(f20563,plain,
( spl3_5
| ~ spl3_70
| ~ spl3_111
| ~ spl3_128 ),
inference(avatar_split_clause,[],[f20365,f1190,f809,f594,f272]) ).
fof(f20365,plain,
( e1 = e3
| ~ spl3_70
| ~ spl3_111
| ~ spl3_128 ),
inference(forward_demodulation,[],[f9364,f1192]) ).
fof(f9364,plain,
( e3 = op(e1,e1)
| ~ spl3_70
| ~ spl3_111 ),
inference(superposition,[],[f596,f811]) ).
fof(f20427,plain,
( spl3_4
| ~ spl3_66
| ~ spl3_78
| ~ spl3_128 ),
inference(avatar_split_clause,[],[f20353,f1190,f631,f574,f267]) ).
fof(f20353,plain,
( e1 = e2
| ~ spl3_66
| ~ spl3_78
| ~ spl3_128 ),
inference(forward_demodulation,[],[f4249,f1192]) ).
fof(f20254,plain,
( ~ spl3_79
| spl3_19
| ~ spl3_97 ),
inference(avatar_split_clause,[],[f15911,f713,f342,f635]) ).
fof(f15911,plain,
( e3 != op(e0,e2)
| spl3_19
| ~ spl3_97 ),
inference(superposition,[],[f344,f714]) ).
fof(f20252,plain,
( ~ spl3_128
| spl3_65
| ~ spl3_128 ),
inference(avatar_split_clause,[],[f20149,f1190,f569,f1190]) ).
fof(f20149,plain,
( e1 != op(e1,e1)
| spl3_65
| ~ spl3_128 ),
inference(forward_demodulation,[],[f570,f1192]) ).
fof(f20122,plain,
( spl3_5
| ~ spl3_90
| ~ spl3_128 ),
inference(avatar_split_clause,[],[f20057,f1190,f683,f272]) ).
fof(f20057,plain,
( e1 = e3
| ~ spl3_90
| ~ spl3_128 ),
inference(superposition,[],[f1192,f684]) ).
fof(f20063,plain,
( spl3_86
| spl3_2
| spl3_1
| ~ spl3_63
| ~ spl3_91
| ~ spl3_95
| ~ spl3_130 ),
inference(avatar_split_clause,[],[f20039,f1267,f705,f687,f559,f252,f257,f666]) ).
fof(f20039,plain,
( e0 = e1
| e0 = e2
| e0 = op(e2,e3)
| ~ spl3_63
| ~ spl3_91
| ~ spl3_95
| ~ spl3_130 ),
inference(duplicate_literal_removal,[],[f20038]) ).
fof(f20038,plain,
( e0 = e1
| e0 = e2
| e0 = e1
| e0 = op(e2,e3)
| ~ spl3_63
| ~ spl3_91
| ~ spl3_95
| ~ spl3_130 ),
inference(forward_demodulation,[],[f18536,f706]) ).
fof(f18536,plain,
( e0 = e2
| e0 = e1
| e0 = op(e2,e3)
| e0 = op(e2,e0)
| ~ spl3_63
| ~ spl3_91
| ~ spl3_130 ),
inference(forward_demodulation,[],[f18535,f1269]) ).
fof(f18535,plain,
( e0 = e1
| e0 = op(e2,e3)
| e0 = op(e2,e1)
| e0 = op(e2,e0)
| ~ spl3_63
| ~ spl3_91 ),
inference(forward_demodulation,[],[f131,f6356]) ).
fof(f20054,plain,
( spl3_93
| spl3_3
| spl3_1
| ~ spl3_82
| ~ spl3_110
| ~ spl3_135 ),
inference(avatar_split_clause,[],[f20026,f2114,f805,f648,f252,f262,f696]) ).
fof(f20026,plain,
( e0 = e1
| e0 = e3
| e0 = op(e3,e3)
| ~ spl3_82
| ~ spl3_110
| ~ spl3_135 ),
inference(duplicate_literal_removal,[],[f20025]) ).
fof(f20025,plain,
( e0 = e1
| e0 = e1
| e0 = e3
| e0 = op(e3,e3)
| ~ spl3_82
| ~ spl3_110
| ~ spl3_135 ),
inference(forward_demodulation,[],[f16312,f649]) ).
fof(f16312,plain,
( e0 = e1
| e0 = e3
| e0 = op(e3,e3)
| e0 = op(e0,e3)
| ~ spl3_110
| ~ spl3_135 ),
inference(forward_demodulation,[],[f2380,f807]) ).
fof(f2380,plain,
( e0 = e3
| e0 = op(e3,e3)
| e0 = op(e1,e3)
| e0 = op(e0,e3)
| ~ spl3_135 ),
inference(forward_demodulation,[],[f140,f2116]) ).
fof(f20037,plain,
( spl3_123
| spl3_2
| spl3_4
| ~ spl3_63
| ~ spl3_77
| ~ spl3_91
| ~ spl3_95 ),
inference(avatar_split_clause,[],[f20015,f705,f687,f627,f559,f267,f257,f1102]) ).
fof(f20015,plain,
( e1 = e2
| e0 = e2
| e2 = op(e2,e3)
| ~ spl3_63
| ~ spl3_77
| ~ spl3_91
| ~ spl3_95 ),
inference(duplicate_literal_removal,[],[f20014]) ).
fof(f20014,plain,
( e1 = e2
| e1 = e2
| e0 = e2
| e2 = op(e2,e3)
| ~ spl3_63
| ~ spl3_77
| ~ spl3_91
| ~ spl3_95 ),
inference(forward_demodulation,[],[f20013,f706]) ).
fof(f20013,plain,
( e1 = e2
| e0 = e2
| e2 = op(e2,e3)
| e2 = op(e2,e0)
| ~ spl3_63
| ~ spl3_77
| ~ spl3_91 ),
inference(forward_demodulation,[],[f14717,f6356]) ).
fof(f14717,plain,
( e0 = e2
| e2 = op(e2,e3)
| e2 = op(e2,e2)
| e2 = op(e2,e0)
| ~ spl3_77 ),
inference(forward_demodulation,[],[f135,f628]) ).
fof(f20024,plain,
( spl3_135
| spl3_5
| spl3_6
| ~ spl3_81
| ~ spl3_82
| ~ spl3_110 ),
inference(avatar_split_clause,[],[f19935,f805,f648,f644,f277,f272,f2114]) ).
fof(f19935,plain,
( e2 = e3
| e1 = e3
| e3 = op(e2,e3)
| ~ spl3_81
| ~ spl3_82
| ~ spl3_110 ),
inference(forward_demodulation,[],[f19500,f645]) ).
fof(f20023,plain,
( ~ spl3_131
| spl3_53
| ~ spl3_81 ),
inference(avatar_split_clause,[],[f3755,f644,f512,f1271]) ).
fof(f19999,plain,
( spl3_6
| spl3_3
| spl3_5
| ~ spl3_81
| ~ spl3_82
| ~ spl3_86
| ~ spl3_110 ),
inference(avatar_split_clause,[],[f19963,f805,f666,f648,f644,f272,f262,f277]) ).
fof(f19963,plain,
( e1 = e3
| e0 = e3
| e2 = e3
| ~ spl3_81
| ~ spl3_82
| ~ spl3_86
| ~ spl3_110 ),
inference(duplicate_literal_removal,[],[f19962]) ).
fof(f19962,plain,
( e1 = e3
| e0 = e3
| e1 = e3
| e2 = e3
| ~ spl3_81
| ~ spl3_82
| ~ spl3_86
| ~ spl3_110 ),
inference(forward_demodulation,[],[f18478,f649]) ).
fof(f18478,plain,
( e0 = e3
| e1 = e3
| e2 = e3
| e3 = op(e0,e3)
| ~ spl3_81
| ~ spl3_86
| ~ spl3_110 ),
inference(forward_demodulation,[],[f14238,f667]) ).
fof(f19957,plain,
( spl3_86
| spl3_3
| spl3_1
| ~ spl3_63
| ~ spl3_91
| ~ spl3_95
| ~ spl3_100 ),
inference(avatar_split_clause,[],[f19844,f726,f705,f687,f559,f252,f262,f666]) ).
fof(f19844,plain,
( e0 = e1
| e0 = e3
| e0 = op(e2,e3)
| ~ spl3_63
| ~ spl3_91
| ~ spl3_95
| ~ spl3_100 ),
inference(duplicate_literal_removal,[],[f19843]) ).
fof(f19843,plain,
( e0 = e1
| e0 = e3
| e0 = e1
| e0 = op(e2,e3)
| ~ spl3_63
| ~ spl3_91
| ~ spl3_95
| ~ spl3_100 ),
inference(forward_demodulation,[],[f19842,f706]) ).
fof(f19842,plain,
( e0 = e3
| e0 = e1
| e0 = op(e2,e3)
| e0 = op(e2,e0)
| ~ spl3_63
| ~ spl3_91
| ~ spl3_100 ),
inference(forward_demodulation,[],[f18535,f727]) ).
fof(f19914,plain,
( spl3_80
| spl3_3
| spl3_1
| ~ spl3_63
| ~ spl3_79
| ~ spl3_91
| ~ spl3_129 ),
inference(avatar_split_clause,[],[f19841,f1194,f687,f635,f559,f252,f262,f640]) ).
fof(f19841,plain,
( e0 = e1
| e0 = e3
| e0 = op(e3,e2)
| ~ spl3_63
| ~ spl3_79
| ~ spl3_91
| ~ spl3_129 ),
inference(duplicate_literal_removal,[],[f19840]) ).
fof(f19840,plain,
( e0 = e1
| e0 = e1
| e0 = e3
| e0 = op(e3,e2)
| ~ spl3_63
| ~ spl3_79
| ~ spl3_91
| ~ spl3_129 ),
inference(forward_demodulation,[],[f18529,f1196]) ).
fof(f18529,plain,
( e0 = e1
| e0 = e3
| e0 = op(e3,e2)
| e0 = op(e1,e2)
| ~ spl3_63
| ~ spl3_79
| ~ spl3_91 ),
inference(forward_demodulation,[],[f17044,f6356]) ).
fof(f17044,plain,
( e0 = e3
| e0 = op(e3,e2)
| e0 = op(e2,e2)
| e0 = op(e1,e2)
| ~ spl3_79 ),
inference(forward_demodulation,[],[f132,f636]) ).
fof(f19901,plain,
( spl3_6
| spl3_4
| ~ spl3_63
| ~ spl3_79
| ~ spl3_91
| ~ spl3_129
| ~ spl3_134 ),
inference(avatar_split_clause,[],[f19848,f1835,f1194,f687,f635,f559,f267,f277]) ).
fof(f19848,plain,
( e1 = e2
| e2 = e3
| ~ spl3_63
| ~ spl3_79
| ~ spl3_91
| ~ spl3_129
| ~ spl3_134 ),
inference(duplicate_literal_removal,[],[f19847]) ).
fof(f19847,plain,
( e1 = e2
| e1 = e2
| e2 = e3
| ~ spl3_63
| ~ spl3_79
| ~ spl3_91
| ~ spl3_129
| ~ spl3_134 ),
inference(forward_demodulation,[],[f19846,f1196]) ).
fof(f19846,plain,
( e1 = e2
| e2 = e3
| e2 = op(e1,e2)
| ~ spl3_63
| ~ spl3_79
| ~ spl3_91
| ~ spl3_134 ),
inference(duplicate_literal_removal,[],[f19845]) ).
fof(f19845,plain,
( e1 = e2
| e1 = e2
| e2 = e3
| e2 = op(e1,e2)
| ~ spl3_63
| ~ spl3_79
| ~ spl3_91
| ~ spl3_134 ),
inference(forward_demodulation,[],[f18538,f1836]) ).
fof(f18538,plain,
( e1 = e2
| e2 = e3
| e2 = op(e3,e2)
| e2 = op(e1,e2)
| ~ spl3_63
| ~ spl3_79
| ~ spl3_91 ),
inference(forward_demodulation,[],[f17035,f6356]) ).
fof(f19899,plain,
( ~ spl3_75
| spl3_62
| ~ spl3_100 ),
inference(avatar_split_clause,[],[f19834,f726,f554,f618]) ).
fof(f19834,plain,
( e1 != op(e3,e3)
| spl3_62
| ~ spl3_100 ),
inference(forward_demodulation,[],[f555,f727]) ).
fof(f555,plain,
( e1 != op(op(e2,e1),op(e2,e1))
| spl3_62 ),
inference(avatar_component_clause,[],[f554]) ).
fof(f19887,plain,
( spl3_4
| ~ spl3_65
| ~ spl3_81
| ~ spl3_90 ),
inference(avatar_split_clause,[],[f19886,f683,f644,f569,f267]) ).
fof(f19886,plain,
( e1 = e2
| ~ spl3_65
| ~ spl3_81
| ~ spl3_90 ),
inference(forward_demodulation,[],[f645,f19881]) ).
fof(f19885,plain,
( spl3_81
| ~ spl3_67
| ~ spl3_79 ),
inference(avatar_split_clause,[],[f19796,f635,f579,f644]) ).
fof(f19796,plain,
( e2 = op(e3,e3)
| ~ spl3_67
| ~ spl3_79 ),
inference(forward_demodulation,[],[f581,f636]) ).
fof(f19878,plain,
( spl3_90
| ~ spl3_71
| ~ spl3_82 ),
inference(avatar_split_clause,[],[f18488,f648,f599,f683]) ).
fof(f19838,plain,
( spl3_2
| ~ spl3_98
| ~ spl3_125 ),
inference(avatar_split_clause,[],[f19778,f1152,f718,f257]) ).
fof(f19778,plain,
( e0 = e2
| ~ spl3_98
| ~ spl3_125 ),
inference(forward_demodulation,[],[f719,f1154]) ).
fof(f19753,plain,
( spl3_137
| spl3_5
| spl3_1
| ~ spl3_99
| ~ spl3_100
| ~ spl3_102 ),
inference(avatar_split_clause,[],[f19590,f735,f726,f722,f252,f272,f3902]) ).
fof(f19590,plain,
( e0 = e1
| e1 = e3
| e1 = op(e3,e1)
| ~ spl3_99
| ~ spl3_100
| ~ spl3_102 ),
inference(duplicate_literal_removal,[],[f19589]) ).
fof(f19589,plain,
( e0 = e1
| e1 = e3
| e0 = e1
| e1 = op(e3,e1)
| ~ spl3_99
| ~ spl3_100
| ~ spl3_102 ),
inference(forward_demodulation,[],[f19588,f737]) ).
fof(f19588,plain,
( e1 = e3
| e0 = e1
| e1 = op(e3,e1)
| e1 = op(e0,e1)
| ~ spl3_99
| ~ spl3_100 ),
inference(forward_demodulation,[],[f18254,f727]) ).
fof(f19722,plain,
( spl3_132
| spl3_5
| spl3_3
| ~ spl3_99
| ~ spl3_125
| ~ spl3_129 ),
inference(avatar_split_clause,[],[f19694,f1194,f1152,f722,f262,f272,f1368]) ).
fof(f19694,plain,
( e0 = e3
| e1 = e3
| e3 = op(e1,e3)
| ~ spl3_99
| ~ spl3_125
| ~ spl3_129 ),
inference(duplicate_literal_removal,[],[f19693]) ).
fof(f19693,plain,
( e0 = e3
| e0 = e3
| e1 = e3
| e3 = op(e1,e3)
| ~ spl3_99
| ~ spl3_125
| ~ spl3_129 ),
inference(forward_demodulation,[],[f18735,f1154]) ).
fof(f18735,plain,
( e0 = e3
| e1 = e3
| e3 = op(e1,e3)
| e3 = op(e1,e0)
| ~ spl3_99
| ~ spl3_129 ),
inference(forward_demodulation,[],[f18734,f723]) ).
fof(f18734,plain,
( e1 = e3
| e3 = op(e1,e3)
| e3 = op(e1,e1)
| e3 = op(e1,e0)
| ~ spl3_129 ),
inference(forward_demodulation,[],[f129,f1196]) ).
fof(f19685,plain,
( spl3_123
| spl3_4
| ~ spl3_62
| ~ spl3_82
| ~ spl3_100
| ~ spl3_110 ),
inference(avatar_split_clause,[],[f19579,f805,f726,f648,f554,f267,f1102]) ).
fof(f19579,plain,
( e1 = e2
| e2 = op(e2,e3)
| ~ spl3_62
| ~ spl3_82
| ~ spl3_100
| ~ spl3_110 ),
inference(duplicate_literal_removal,[],[f19578]) ).
fof(f19578,plain,
( e1 = e2
| e1 = e2
| e2 = op(e2,e3)
| ~ spl3_62
| ~ spl3_82
| ~ spl3_100
| ~ spl3_110 ),
inference(forward_demodulation,[],[f19577,f649]) ).
fof(f19577,plain,
( e1 = e2
| e2 = op(e2,e3)
| e2 = op(e0,e3)
| ~ spl3_62
| ~ spl3_100
| ~ spl3_110 ),
inference(duplicate_literal_removal,[],[f19576]) ).
fof(f19576,plain,
( e1 = e2
| e1 = e2
| e2 = op(e2,e3)
| e2 = op(e0,e3)
| ~ spl3_62
| ~ spl3_100
| ~ spl3_110 ),
inference(forward_demodulation,[],[f6369,f807]) ).
fof(f19674,plain,
( spl3_126
| ~ spl3_69
| ~ spl3_122 ),
inference(avatar_split_clause,[],[f17435,f1026,f589,f1164]) ).
fof(f17435,plain,
( e2 = op(e2,e2)
| ~ spl3_69
| ~ spl3_122 ),
inference(forward_demodulation,[],[f591,f1028]) ).
fof(f19651,plain,
( spl3_4
| spl3_2
| ~ spl3_83
| ~ spl3_99
| ~ spl3_110
| ~ spl3_125 ),
inference(avatar_split_clause,[],[f19544,f1152,f805,f722,f653,f257,f267]) ).
fof(f19544,plain,
( e0 = e2
| e1 = e2
| ~ spl3_83
| ~ spl3_99
| ~ spl3_110
| ~ spl3_125 ),
inference(duplicate_literal_removal,[],[f19543]) ).
fof(f19543,plain,
( e0 = e2
| e0 = e2
| e1 = e2
| ~ spl3_83
| ~ spl3_99
| ~ spl3_110
| ~ spl3_125 ),
inference(forward_demodulation,[],[f18771,f1154]) ).
fof(f18771,plain,
( e0 = e2
| e1 = e2
| e2 = op(e1,e0)
| ~ spl3_83
| ~ spl3_99
| ~ spl3_110 ),
inference(duplicate_literal_removal,[],[f16910]) ).
fof(f19649,plain,
( ~ spl3_93
| spl3_61
| ~ spl3_118 ),
inference(avatar_split_clause,[],[f19559,f873,f549,f696]) ).
fof(f19640,plain,
( spl3_75
| ~ spl3_62
| ~ spl3_100 ),
inference(avatar_split_clause,[],[f19556,f726,f554,f618]) ).
fof(f19556,plain,
( e1 = op(e3,e3)
| ~ spl3_62
| ~ spl3_100 ),
inference(forward_demodulation,[],[f556,f727]) ).
fof(f19639,plain,
( ~ spl3_96
| spl3_60
| ~ spl3_108 ),
inference(avatar_split_clause,[],[f4119,f776,f544,f709]) ).
fof(f4119,plain,
( e0 != op(e2,e2)
| spl3_60
| ~ spl3_108 ),
inference(forward_demodulation,[],[f545,f778]) ).
fof(f19575,plain,
( spl3_3
| ~ spl3_73
| ~ spl3_99
| ~ spl3_110 ),
inference(avatar_split_clause,[],[f18936,f805,f722,f609,f262]) ).
fof(f18936,plain,
( e0 = e3
| ~ spl3_73
| ~ spl3_99
| ~ spl3_110 ),
inference(forward_demodulation,[],[f4216,f723]) ).
fof(f19484,plain,
( spl3_2
| ~ spl3_58
| ~ spl3_108
| ~ spl3_125 ),
inference(avatar_split_clause,[],[f19417,f1152,f776,f535,f257]) ).
fof(f19417,plain,
( e0 = e2
| ~ spl3_58
| ~ spl3_108
| ~ spl3_125 ),
inference(forward_demodulation,[],[f778,f18961]) ).
fof(f19426,plain,
( spl3_1
| ~ spl3_61
| ~ spl3_65
| ~ spl3_73
| ~ spl3_110
| ~ spl3_118 ),
inference(avatar_split_clause,[],[f19376,f873,f805,f609,f569,f549,f252]) ).
fof(f19376,plain,
( e0 = e1
| ~ spl3_61
| ~ spl3_65
| ~ spl3_73
| ~ spl3_110
| ~ spl3_118 ),
inference(forward_demodulation,[],[f19375,f17496]) ).
fof(f17496,plain,
( e0 = op(e3,e3)
| ~ spl3_61
| ~ spl3_118 ),
inference(superposition,[],[f551,f875]) ).
fof(f19353,plain,
( spl3_1
| ~ spl3_58
| ~ spl3_69
| ~ spl3_83
| ~ spl3_95
| ~ spl3_125 ),
inference(avatar_split_clause,[],[f19253,f1152,f705,f653,f589,f535,f252]) ).
fof(f19253,plain,
( e0 = e1
| ~ spl3_58
| ~ spl3_69
| ~ spl3_83
| ~ spl3_95
| ~ spl3_125 ),
inference(forward_demodulation,[],[f19252,f18961]) ).
fof(f19252,plain,
( op(e0,e0) = e1
| ~ spl3_58
| ~ spl3_69
| ~ spl3_83
| ~ spl3_95
| ~ spl3_125 ),
inference(forward_demodulation,[],[f706,f19248]) ).
fof(f19248,plain,
( e0 = e2
| ~ spl3_58
| ~ spl3_69
| ~ spl3_83
| ~ spl3_125 ),
inference(forward_demodulation,[],[f1148,f18961]) ).
fof(f1148,plain,
( op(e0,e0) = e2
| ~ spl3_69
| ~ spl3_83 ),
inference(superposition,[],[f591,f654]) ).
fof(f19247,plain,
( spl3_1
| ~ spl3_58
| ~ spl3_65
| ~ spl3_73
| ~ spl3_93
| ~ spl3_110
| ~ spl3_125
| ~ spl3_136 ),
inference(avatar_split_clause,[],[f19167,f2462,f1152,f805,f696,f609,f569,f535,f252]) ).
fof(f19167,plain,
( e0 = e1
| ~ spl3_58
| ~ spl3_65
| ~ spl3_73
| ~ spl3_93
| ~ spl3_110
| ~ spl3_125
| ~ spl3_136 ),
inference(forward_demodulation,[],[f19166,f18961]) ).
fof(f19166,plain,
( op(e0,e0) = e1
| ~ spl3_65
| ~ spl3_73
| ~ spl3_93
| ~ spl3_110
| ~ spl3_136 ),
inference(forward_demodulation,[],[f571,f19164]) ).
fof(f19164,plain,
( e0 = op(e1,e1)
| ~ spl3_73
| ~ spl3_93
| ~ spl3_110
| ~ spl3_136 ),
inference(forward_demodulation,[],[f4216,f2752]) ).
fof(f19154,plain,
( spl3_1
| ~ spl3_58
| ~ spl3_66
| ~ spl3_93
| ~ spl3_96
| ~ spl3_125
| ~ spl3_134
| ~ spl3_136 ),
inference(avatar_split_clause,[],[f19089,f2462,f1835,f1152,f709,f696,f574,f535,f252]) ).
fof(f19089,plain,
( e0 = e1
| ~ spl3_58
| ~ spl3_66
| ~ spl3_93
| ~ spl3_96
| ~ spl3_125
| ~ spl3_134
| ~ spl3_136 ),
inference(forward_demodulation,[],[f19075,f18961]) ).
fof(f19075,plain,
( op(e0,e0) = e1
| ~ spl3_58
| ~ spl3_66
| ~ spl3_93
| ~ spl3_96
| ~ spl3_125
| ~ spl3_134
| ~ spl3_136 ),
inference(forward_demodulation,[],[f19074,f2752]) ).
fof(f19074,plain,
( e1 = op(e3,e0)
| ~ spl3_58
| ~ spl3_66
| ~ spl3_96
| ~ spl3_125
| ~ spl3_134 ),
inference(forward_demodulation,[],[f1836,f18968]) ).
fof(f18968,plain,
( e0 = e2
| ~ spl3_58
| ~ spl3_66
| ~ spl3_96
| ~ spl3_125 ),
inference(forward_demodulation,[],[f1128,f18961]) ).
fof(f1128,plain,
( op(e0,e0) = e2
| ~ spl3_66
| ~ spl3_96 ),
inference(superposition,[],[f576,f710]) ).
fof(f19084,plain,
( spl3_1
| ~ spl3_58
| ~ spl3_65
| ~ spl3_99
| ~ spl3_125 ),
inference(avatar_split_clause,[],[f18965,f1152,f722,f569,f535,f252]) ).
fof(f18965,plain,
( e0 = e1
| ~ spl3_58
| ~ spl3_65
| ~ spl3_99
| ~ spl3_125 ),
inference(forward_demodulation,[],[f18958,f18961]) ).
fof(f18958,plain,
( op(e0,e0) = e1
| ~ spl3_65
| ~ spl3_99 ),
inference(forward_demodulation,[],[f571,f723]) ).
fof(f18963,plain,
( spl3_2
| ~ spl3_68
| ~ spl3_99
| ~ spl3_134 ),
inference(avatar_split_clause,[],[f18796,f1835,f722,f584,f257]) ).
fof(f18796,plain,
( e0 = e2
| ~ spl3_68
| ~ spl3_99
| ~ spl3_134 ),
inference(forward_demodulation,[],[f15902,f723]) ).
fof(f18770,plain,
( spl3_80
| spl3_2
| spl3_1
| spl3_3
| ~ spl3_68
| ~ spl3_79
| ~ spl3_124
| ~ spl3_129 ),
inference(avatar_split_clause,[],[f18576,f1194,f1114,f635,f584,f262,f252,f257,f640]) ).
fof(f18576,plain,
( e0 = e3
| e0 = e1
| e0 = e2
| e0 = op(e3,e2)
| ~ spl3_68
| ~ spl3_79
| ~ spl3_124
| ~ spl3_129 ),
inference(forward_demodulation,[],[f18575,f636]) ).
fof(f18575,plain,
( e0 = e1
| e0 = e2
| e0 = op(e3,e2)
| e0 = op(e0,e2)
| ~ spl3_68
| ~ spl3_124
| ~ spl3_129 ),
inference(forward_demodulation,[],[f16858,f1196]) ).
fof(f16858,plain,
( e0 = e2
| e0 = op(e3,e2)
| e0 = op(e1,e2)
| e0 = op(e0,e2)
| ~ spl3_68
| ~ spl3_124 ),
inference(forward_demodulation,[],[f132,f1464]) ).
fof(f18752,plain,
( spl3_132
| spl3_3
| spl3_6
| spl3_5
| ~ spl3_98
| ~ spl3_99
| ~ spl3_129 ),
inference(avatar_split_clause,[],[f17164,f1194,f722,f718,f272,f277,f262,f1368]) ).
fof(f17164,plain,
( e1 = e3
| e2 = e3
| e0 = e3
| e3 = op(e1,e3)
| ~ spl3_98
| ~ spl3_99
| ~ spl3_129 ),
inference(forward_demodulation,[],[f17046,f1196]) ).
fof(f17046,plain,
( e2 = e3
| e0 = e3
| e3 = op(e1,e3)
| e3 = op(e1,e2)
| ~ spl3_98
| ~ spl3_99 ),
inference(forward_demodulation,[],[f17045,f719]) ).
fof(f17045,plain,
( e0 = e3
| e3 = op(e1,e3)
| e3 = op(e1,e2)
| e3 = op(e1,e0)
| ~ spl3_99 ),
inference(forward_demodulation,[],[f129,f723]) ).
fof(f18737,plain,
( spl3_126
| ~ spl3_68
| ~ spl3_124 ),
inference(avatar_split_clause,[],[f1464,f1114,f584,f1164]) ).
fof(f18725,plain,
( spl3_3
| spl3_6
| spl3_5
| ~ spl3_98
| ~ spl3_99
| ~ spl3_110
| ~ spl3_129 ),
inference(avatar_split_clause,[],[f18540,f1194,f805,f722,f718,f272,f277,f262]) ).
fof(f18540,plain,
( e1 = e3
| e2 = e3
| e0 = e3
| ~ spl3_98
| ~ spl3_99
| ~ spl3_110
| ~ spl3_129 ),
inference(duplicate_literal_removal,[],[f18539]) ).
fof(f18539,plain,
( e1 = e3
| e1 = e3
| e2 = e3
| e0 = e3
| ~ spl3_98
| ~ spl3_99
| ~ spl3_110
| ~ spl3_129 ),
inference(forward_demodulation,[],[f17164,f807]) ).
fof(f18702,plain,
( spl3_1
| ~ spl3_99
| ~ spl3_127
| ~ spl3_130 ),
inference(avatar_split_clause,[],[f18699,f1267,f1177,f722,f252]) ).
fof(f18699,plain,
( e0 = e1
| ~ spl3_99
| ~ spl3_127
| ~ spl3_130 ),
inference(forward_demodulation,[],[f18698,f723]) ).
fof(f18698,plain,
( e1 = op(e1,e1)
| ~ spl3_127
| ~ spl3_130 ),
inference(forward_demodulation,[],[f1179,f18094]) ).
fof(f18668,plain,
( spl3_93
| spl3_1
| ~ spl3_82
| ~ spl3_110
| ~ spl3_111 ),
inference(avatar_split_clause,[],[f18587,f809,f805,f648,f252,f696]) ).
fof(f18587,plain,
( e0 = e1
| e0 = op(e3,e3)
| ~ spl3_82
| ~ spl3_110
| ~ spl3_111 ),
inference(duplicate_literal_removal,[],[f18586]) ).
fof(f18586,plain,
( e0 = e1
| e0 = e1
| e0 = op(e3,e3)
| ~ spl3_82
| ~ spl3_110
| ~ spl3_111 ),
inference(forward_demodulation,[],[f18183,f649]) ).
fof(f18183,plain,
( e0 = e1
| e0 = op(e3,e3)
| e0 = op(e0,e3)
| ~ spl3_110
| ~ spl3_111 ),
inference(duplicate_literal_removal,[],[f16892]) ).
fof(f16892,plain,
( e0 = e1
| e0 = e1
| e0 = op(e3,e3)
| e0 = op(e0,e3)
| ~ spl3_110
| ~ spl3_111 ),
inference(forward_demodulation,[],[f16496,f807]) ).
fof(f16496,plain,
( e0 = e1
| e0 = op(e3,e3)
| e0 = op(e1,e3)
| e0 = op(e0,e3)
| ~ spl3_111 ),
inference(forward_demodulation,[],[f140,f811]) ).
fof(f18653,plain,
( spl3_136
| spl3_5
| ~ spl3_82
| ~ spl3_110
| ~ spl3_111 ),
inference(avatar_split_clause,[],[f18184,f809,f805,f648,f272,f2462]) ).
fof(f18184,plain,
( e1 = e3
| e3 = op(e3,e3)
| ~ spl3_82
| ~ spl3_110
| ~ spl3_111 ),
inference(duplicate_literal_removal,[],[f17959]) ).
fof(f17959,plain,
( e1 = e3
| e1 = e3
| e3 = op(e3,e3)
| ~ spl3_82
| ~ spl3_110
| ~ spl3_111 ),
inference(forward_demodulation,[],[f14748,f807]) ).
fof(f14748,plain,
( e1 = e3
| e3 = op(e3,e3)
| e3 = op(e1,e3)
| ~ spl3_82
| ~ spl3_111 ),
inference(duplicate_literal_removal,[],[f14747]) ).
fof(f14747,plain,
( e1 = e3
| e1 = e3
| e3 = op(e3,e3)
| e3 = op(e1,e3)
| ~ spl3_82
| ~ spl3_111 ),
inference(forward_demodulation,[],[f12503,f811]) ).
fof(f12503,plain,
( e1 = e3
| e3 = op(e3,e3)
| e3 = op(e2,e3)
| e3 = op(e1,e3)
| ~ spl3_82 ),
inference(forward_demodulation,[],[f146,f649]) ).
fof(f18652,plain,
( ~ spl3_78
| spl3_62
| ~ spl3_130 ),
inference(avatar_split_clause,[],[f18607,f1267,f554,f631]) ).
fof(f18607,plain,
( e1 != op(e2,e2)
| spl3_62
| ~ spl3_130 ),
inference(forward_demodulation,[],[f555,f1269]) ).
fof(f18651,plain,
( ~ spl3_81
| spl3_67
| ~ spl3_79 ),
inference(avatar_split_clause,[],[f18601,f635,f579,f644]) ).
fof(f18601,plain,
( e2 != op(e3,e3)
| spl3_67
| ~ spl3_79 ),
inference(forward_demodulation,[],[f580,f636]) ).
fof(f18615,plain,
( spl3_137
| ~ spl3_63
| ~ spl3_68
| ~ spl3_91
| ~ spl3_124 ),
inference(avatar_split_clause,[],[f18584,f1114,f687,f584,f559,f3902]) ).
fof(f18584,plain,
( e1 = op(e3,e1)
| ~ spl3_63
| ~ spl3_68
| ~ spl3_91
| ~ spl3_124 ),
inference(forward_demodulation,[],[f1116,f18583]) ).
fof(f18583,plain,
( e1 = e2
| ~ spl3_63
| ~ spl3_68
| ~ spl3_91
| ~ spl3_124 ),
inference(forward_demodulation,[],[f1464,f6356]) ).
fof(f18511,plain,
( spl3_3
| ~ spl3_71
| ~ spl3_82
| ~ spl3_99 ),
inference(avatar_split_clause,[],[f18486,f722,f648,f599,f262]) ).
fof(f18486,plain,
( e0 = e3
| ~ spl3_71
| ~ spl3_82
| ~ spl3_99 ),
inference(forward_demodulation,[],[f12747,f723]) ).
fof(f12747,plain,
( e3 = op(e1,e1)
| ~ spl3_71
| ~ spl3_82 ),
inference(forward_demodulation,[],[f601,f649]) ).
fof(f18452,plain,
( spl3_3
| spl3_6
| ~ spl3_61
| ~ spl3_91
| ~ spl3_92
| ~ spl3_130
| ~ spl3_131 ),
inference(avatar_split_clause,[],[f18439,f1271,f1267,f692,f687,f549,f277,f262]) ).
fof(f18439,plain,
( e2 = e3
| e0 = e3
| ~ spl3_61
| ~ spl3_91
| ~ spl3_92
| ~ spl3_130
| ~ spl3_131 ),
inference(duplicate_literal_removal,[],[f18438]) ).
fof(f18438,plain,
( e2 = e3
| e2 = e3
| e0 = e3
| ~ spl3_61
| ~ spl3_91
| ~ spl3_92
| ~ spl3_130
| ~ spl3_131 ),
inference(forward_demodulation,[],[f18437,f688]) ).
fof(f18437,plain,
( e2 = e3
| e0 = e3
| e3 = op(e0,e1)
| ~ spl3_61
| ~ spl3_92
| ~ spl3_130
| ~ spl3_131 ),
inference(duplicate_literal_removal,[],[f18436]) ).
fof(f18436,plain,
( e2 = e3
| e2 = e3
| e0 = e3
| e3 = op(e0,e1)
| ~ spl3_61
| ~ spl3_92
| ~ spl3_130
| ~ spl3_131 ),
inference(forward_demodulation,[],[f16659,f1273]) ).
fof(f16659,plain,
( e2 = e3
| e0 = e3
| e3 = op(e3,e1)
| e3 = op(e0,e1)
| ~ spl3_61
| ~ spl3_92
| ~ spl3_130 ),
inference(forward_demodulation,[],[f893,f1269]) ).
fof(f893,plain,
( e0 = e3
| e3 = op(e3,e1)
| e3 = op(e2,e1)
| e3 = op(e0,e1)
| ~ spl3_61
| ~ spl3_92 ),
inference(forward_demodulation,[],[f130,f770]) ).
fof(f18426,plain,
( spl3_6
| spl3_2
| spl3_4
| ~ spl3_78
| ~ spl3_86
| ~ spl3_117
| ~ spl3_127 ),
inference(avatar_split_clause,[],[f18387,f1177,f869,f666,f631,f267,f257,f277]) ).
fof(f18387,plain,
( e1 = e2
| e0 = e2
| e2 = e3
| ~ spl3_78
| ~ spl3_86
| ~ spl3_117
| ~ spl3_127 ),
inference(duplicate_literal_removal,[],[f18386]) ).
fof(f18386,plain,
( e1 = e2
| e0 = e2
| e2 = e3
| e1 = e2
| ~ spl3_78
| ~ spl3_86
| ~ spl3_117
| ~ spl3_127 ),
inference(forward_demodulation,[],[f6363,f1179]) ).
fof(f6363,plain,
( e0 = e2
| e2 = e3
| e1 = e2
| e2 = op(e2,e1)
| ~ spl3_78
| ~ spl3_86
| ~ spl3_117 ),
inference(forward_demodulation,[],[f4719,f667]) ).
fof(f4719,plain,
( e2 = e3
| e1 = e2
| e2 = op(e2,e3)
| e2 = op(e2,e1)
| ~ spl3_78
| ~ spl3_117 ),
inference(forward_demodulation,[],[f4244,f871]) ).
fof(f4244,plain,
( e1 = e2
| e2 = op(e2,e3)
| e2 = op(e2,e1)
| e2 = op(e2,e0)
| ~ spl3_78 ),
inference(forward_demodulation,[],[f135,f632]) ).
fof(f18397,plain,
( spl3_2
| ~ spl3_66
| ~ spl3_78
| ~ spl3_99 ),
inference(avatar_split_clause,[],[f18389,f722,f631,f574,f257]) ).
fof(f18389,plain,
( e0 = e2
| ~ spl3_66
| ~ spl3_78
| ~ spl3_99 ),
inference(forward_demodulation,[],[f4249,f723]) ).
fof(f18336,plain,
( spl3_134
| spl3_5
| spl3_4
| ~ spl3_68
| ~ spl3_79
| ~ spl3_97
| ~ spl3_124 ),
inference(avatar_split_clause,[],[f18310,f1114,f713,f635,f584,f267,f272,f1835]) ).
fof(f18310,plain,
( e1 = e2
| e1 = e3
| e1 = op(e3,e2)
| ~ spl3_68
| ~ spl3_79
| ~ spl3_97
| ~ spl3_124 ),
inference(forward_demodulation,[],[f17952,f1464]) ).
fof(f17952,plain,
( e1 = e3
| e1 = op(e3,e2)
| e1 = op(e2,e2)
| ~ spl3_79
| ~ spl3_97 ),
inference(duplicate_literal_removal,[],[f17951]) ).
fof(f17951,plain,
( e1 = e3
| e1 = e3
| e1 = op(e3,e2)
| e1 = op(e2,e2)
| ~ spl3_79
| ~ spl3_97 ),
inference(forward_demodulation,[],[f3682,f636]) ).
fof(f18332,plain,
( ~ spl3_81
| spl3_69
| ~ spl3_97 ),
inference(avatar_split_clause,[],[f15901,f713,f589,f644]) ).
fof(f15901,plain,
( e2 != op(e3,e3)
| spl3_69
| ~ spl3_97 ),
inference(forward_demodulation,[],[f590,f714]) ).
fof(f18279,plain,
( ~ spl3_98
| spl3_38
| ~ spl3_122 ),
inference(avatar_split_clause,[],[f10465,f1026,f437,f718]) ).
fof(f10465,plain,
( e2 != op(e1,e0)
| spl3_38
| ~ spl3_122 ),
inference(superposition,[],[f439,f1028]) ).
fof(f18238,plain,
( spl3_6
| spl3_5
| ~ spl3_81
| ~ spl3_82
| ~ spl3_110
| ~ spl3_111 ),
inference(avatar_split_clause,[],[f18216,f809,f805,f648,f644,f272,f277]) ).
fof(f18216,plain,
( e1 = e3
| e2 = e3
| ~ spl3_81
| ~ spl3_82
| ~ spl3_110
| ~ spl3_111 ),
inference(duplicate_literal_removal,[],[f18215]) ).
fof(f18215,plain,
( e1 = e3
| e1 = e3
| e2 = e3
| ~ spl3_81
| ~ spl3_82
| ~ spl3_110
| ~ spl3_111 ),
inference(forward_demodulation,[],[f18214,f649]) ).
fof(f18214,plain,
( e1 = e3
| e2 = e3
| e3 = op(e0,e3)
| ~ spl3_81
| ~ spl3_110
| ~ spl3_111 ),
inference(duplicate_literal_removal,[],[f18213]) ).
fof(f18213,plain,
( e1 = e3
| e1 = e3
| e2 = e3
| e3 = op(e0,e3)
| ~ spl3_81
| ~ spl3_110
| ~ spl3_111 ),
inference(forward_demodulation,[],[f17968,f807]) ).
fof(f17968,plain,
( e1 = e3
| e2 = e3
| e3 = op(e1,e3)
| e3 = op(e0,e3)
| ~ spl3_81
| ~ spl3_111 ),
inference(forward_demodulation,[],[f4438,f811]) ).
fof(f18236,plain,
( ~ spl3_78
| spl3_63
| ~ spl3_91 ),
inference(avatar_split_clause,[],[f5528,f687,f559,f631]) ).
fof(f5528,plain,
( e1 != op(e2,e2)
| spl3_63
| ~ spl3_91 ),
inference(superposition,[],[f560,f688]) ).
fof(f18180,plain,
( spl3_1
| ~ spl3_99
| ~ spl3_122
| ~ spl3_127
| ~ spl3_130 ),
inference(avatar_split_clause,[],[f18171,f1267,f1177,f1026,f722,f252]) ).
fof(f18171,plain,
( e0 = e1
| ~ spl3_99
| ~ spl3_122
| ~ spl3_127
| ~ spl3_130 ),
inference(forward_demodulation,[],[f18170,f723]) ).
fof(f18170,plain,
( e1 = op(e1,e1)
| ~ spl3_122
| ~ spl3_127
| ~ spl3_130 ),
inference(forward_demodulation,[],[f1028,f18094]) ).
fof(f18172,plain,
( spl3_1
| ~ spl3_69
| ~ spl3_99
| ~ spl3_122
| ~ spl3_127
| ~ spl3_130 ),
inference(avatar_split_clause,[],[f18152,f1267,f1177,f1026,f722,f589,f252]) ).
fof(f18152,plain,
( e0 = e1
| ~ spl3_69
| ~ spl3_99
| ~ spl3_122
| ~ spl3_127
| ~ spl3_130 ),
inference(forward_demodulation,[],[f18151,f723]) ).
fof(f18151,plain,
( e1 = op(e1,e1)
| ~ spl3_69
| ~ spl3_122
| ~ spl3_127
| ~ spl3_130 ),
inference(forward_demodulation,[],[f17435,f18094]) ).
fof(f18100,plain,
( spl3_80
| spl3_3
| ~ spl3_79
| ~ spl3_87
| ~ spl3_97 ),
inference(avatar_split_clause,[],[f17986,f713,f670,f635,f262,f640]) ).
fof(f17986,plain,
( e0 = e3
| e0 = op(e3,e2)
| ~ spl3_79
| ~ spl3_87
| ~ spl3_97 ),
inference(duplicate_literal_removal,[],[f17985]) ).
fof(f17985,plain,
( e0 = e3
| e0 = e3
| e0 = op(e3,e2)
| ~ spl3_79
| ~ spl3_87
| ~ spl3_97 ),
inference(forward_demodulation,[],[f17984,f636]) ).
fof(f17984,plain,
( e0 = e3
| e0 = op(e3,e2)
| e0 = op(e0,e2)
| ~ spl3_87
| ~ spl3_97 ),
inference(duplicate_literal_removal,[],[f17983]) ).
fof(f17983,plain,
( e0 = e3
| e0 = e3
| e0 = op(e3,e2)
| e0 = op(e0,e2)
| ~ spl3_87
| ~ spl3_97 ),
inference(forward_demodulation,[],[f16341,f714]) ).
fof(f16341,plain,
( e0 = e3
| e0 = op(e3,e2)
| e0 = op(e1,e2)
| e0 = op(e0,e2)
| ~ spl3_87 ),
inference(forward_demodulation,[],[f132,f671]) ).
fof(f18064,plain,
( spl3_6
| spl3_5
| ~ spl3_69
| ~ spl3_82
| ~ spl3_97
| ~ spl3_110
| ~ spl3_111 ),
inference(avatar_split_clause,[],[f17964,f809,f805,f713,f648,f589,f272,f277]) ).
fof(f17964,plain,
( e1 = e3
| e2 = e3
| ~ spl3_69
| ~ spl3_82
| ~ spl3_97
| ~ spl3_110
| ~ spl3_111 ),
inference(duplicate_literal_removal,[],[f17963]) ).
fof(f17963,plain,
( e1 = e3
| e1 = e3
| e2 = e3
| ~ spl3_69
| ~ spl3_82
| ~ spl3_97
| ~ spl3_110
| ~ spl3_111 ),
inference(forward_demodulation,[],[f17962,f807]) ).
fof(f17962,plain,
( e1 = e3
| e2 = e3
| e3 = op(e1,e3)
| ~ spl3_69
| ~ spl3_82
| ~ spl3_97
| ~ spl3_111 ),
inference(duplicate_literal_removal,[],[f17961]) ).
fof(f17961,plain,
( e1 = e3
| e1 = e3
| e2 = e3
| e3 = op(e1,e3)
| ~ spl3_69
| ~ spl3_82
| ~ spl3_97
| ~ spl3_111 ),
inference(forward_demodulation,[],[f4389,f811]) ).
fof(f4389,plain,
( e1 = e3
| e2 = e3
| e3 = op(e2,e3)
| e3 = op(e1,e3)
| ~ spl3_69
| ~ spl3_82
| ~ spl3_97 ),
inference(forward_demodulation,[],[f4388,f649]) ).
fof(f4388,plain,
( e2 = e3
| e3 = op(e2,e3)
| e3 = op(e1,e3)
| e3 = op(e0,e3)
| ~ spl3_69
| ~ spl3_97 ),
inference(forward_demodulation,[],[f146,f4378]) ).
fof(f4378,plain,
( e2 = op(e3,e3)
| ~ spl3_69
| ~ spl3_97 ),
inference(forward_demodulation,[],[f591,f714]) ).
fof(f18063,plain,
( ~ spl3_124
| spl3_54
| ~ spl3_81 ),
inference(avatar_split_clause,[],[f3246,f644,f517,f1114]) ).
fof(f3246,plain,
( e2 != op(e3,e2)
| spl3_54
| ~ spl3_81 ),
inference(superposition,[],[f519,f645]) ).
fof(f18055,plain,
( spl3_87
| ~ spl3_72
| ~ spl3_81 ),
inference(avatar_split_clause,[],[f17996,f644,f604,f670]) ).
fof(f18053,plain,
( ~ spl3_81
| spl3_67
| ~ spl3_79 ),
inference(avatar_split_clause,[],[f16699,f635,f579,f644]) ).
fof(f16699,plain,
( e2 != op(e3,e3)
| spl3_67
| ~ spl3_79 ),
inference(forward_demodulation,[],[f580,f636]) ).
fof(f17942,plain,
( spl3_2
| ~ spl3_58
| ~ spl3_66
| ~ spl3_98
| ~ spl3_101 ),
inference(avatar_split_clause,[],[f17787,f731,f718,f574,f535,f257]) ).
fof(f17787,plain,
( e0 = e2
| ~ spl3_58
| ~ spl3_66
| ~ spl3_98
| ~ spl3_101 ),
inference(forward_demodulation,[],[f17780,f733]) ).
fof(f17780,plain,
( op(e0,e0) = e2
| ~ spl3_58
| ~ spl3_66
| ~ spl3_98 ),
inference(forward_demodulation,[],[f576,f17183]) ).
fof(f17785,plain,
( spl3_2
| ~ spl3_73
| ~ spl3_81
| ~ spl3_99
| ~ spl3_101
| ~ spl3_110 ),
inference(avatar_split_clause,[],[f17681,f805,f731,f722,f644,f609,f257]) ).
fof(f17681,plain,
( e0 = e2
| ~ spl3_73
| ~ spl3_81
| ~ spl3_99
| ~ spl3_101
| ~ spl3_110 ),
inference(forward_demodulation,[],[f17680,f733]) ).
fof(f17680,plain,
( op(e0,e0) = e2
| ~ spl3_73
| ~ spl3_81
| ~ spl3_99
| ~ spl3_110 ),
inference(forward_demodulation,[],[f645,f17249]) ).
fof(f17249,plain,
( e0 = e3
| ~ spl3_73
| ~ spl3_99
| ~ spl3_110 ),
inference(forward_demodulation,[],[f3733,f723]) ).
fof(f3733,plain,
( e3 = op(e1,e1)
| ~ spl3_73
| ~ spl3_110 ),
inference(superposition,[],[f611,f807]) ).
fof(f17674,plain,
( spl3_1
| ~ spl3_65
| ~ spl3_99
| ~ spl3_101 ),
inference(avatar_split_clause,[],[f17575,f731,f722,f569,f252]) ).
fof(f17575,plain,
( e0 = e1
| ~ spl3_65
| ~ spl3_99
| ~ spl3_101 ),
inference(forward_demodulation,[],[f17179,f733]) ).
fof(f17179,plain,
( op(e0,e0) = e1
| ~ spl3_65
| ~ spl3_99 ),
inference(forward_demodulation,[],[f571,f723]) ).
fof(f17524,plain,
( spl3_84
| ~ spl3_69
| ~ spl3_129 ),
inference(avatar_split_clause,[],[f17176,f1194,f589,f657]) ).
fof(f17176,plain,
( e2 = op(e1,e1)
| ~ spl3_69
| ~ spl3_129 ),
inference(forward_demodulation,[],[f591,f1196]) ).
fof(f17462,plain,
( spl3_2
| ~ spl3_58
| ~ spl3_69
| ~ spl3_98
| ~ spl3_122 ),
inference(avatar_split_clause,[],[f17419,f1026,f718,f589,f535,f257]) ).
fof(f17419,plain,
( e0 = e2
| ~ spl3_58
| ~ spl3_69
| ~ spl3_98
| ~ spl3_122 ),
inference(forward_demodulation,[],[f1033,f17183]) ).
fof(f1033,plain,
( e2 = op(e2,e2)
| ~ spl3_69
| ~ spl3_122 ),
inference(superposition,[],[f591,f1028]) ).
fof(f17423,plain,
( spl3_1
| ~ spl3_58
| ~ spl3_62
| ~ spl3_98
| ~ spl3_130 ),
inference(avatar_split_clause,[],[f17262,f1267,f718,f554,f535,f252]) ).
fof(f17262,plain,
( e0 = e1
| ~ spl3_58
| ~ spl3_62
| ~ spl3_98
| ~ spl3_130 ),
inference(forward_demodulation,[],[f17261,f17183]) ).
fof(f17261,plain,
( e1 = op(e2,e2)
| ~ spl3_62
| ~ spl3_130 ),
inference(forward_demodulation,[],[f556,f1269]) ).
fof(f17362,plain,
( spl3_2
| ~ spl3_69
| ~ spl3_83
| ~ spl3_101 ),
inference(avatar_split_clause,[],[f17356,f731,f653,f589,f257]) ).
fof(f17356,plain,
( e0 = e2
| ~ spl3_69
| ~ spl3_83
| ~ spl3_101 ),
inference(forward_demodulation,[],[f11231,f733]) ).
fof(f11231,plain,
( op(e0,e0) = e2
| ~ spl3_69
| ~ spl3_83 ),
inference(forward_demodulation,[],[f591,f654]) ).
fof(f17263,plain,
( spl3_3
| ~ spl3_58
| ~ spl3_65
| ~ spl3_69
| ~ spl3_98
| ~ spl3_99
| ~ spl3_101
| ~ spl3_110
| ~ spl3_122 ),
inference(avatar_split_clause,[],[f17231,f1026,f805,f731,f722,f718,f589,f569,f535,f262]) ).
fof(f17231,plain,
( e0 = e3
| ~ spl3_58
| ~ spl3_65
| ~ spl3_69
| ~ spl3_98
| ~ spl3_99
| ~ spl3_101
| ~ spl3_110
| ~ spl3_122 ),
inference(duplicate_literal_removal,[],[f17230]) ).
fof(f17230,plain,
( e0 = e3
| e0 = e3
| ~ spl3_58
| ~ spl3_65
| ~ spl3_69
| ~ spl3_98
| ~ spl3_99
| ~ spl3_101
| ~ spl3_110
| ~ spl3_122 ),
inference(forward_demodulation,[],[f17229,f17220]) ).
fof(f17220,plain,
( e0 = e2
| ~ spl3_58
| ~ spl3_69
| ~ spl3_98
| ~ spl3_122 ),
inference(forward_demodulation,[],[f1033,f17183]) ).
fof(f17229,plain,
( e2 = e3
| e0 = e3
| ~ spl3_58
| ~ spl3_65
| ~ spl3_69
| ~ spl3_98
| ~ spl3_99
| ~ spl3_101
| ~ spl3_110
| ~ spl3_122 ),
inference(forward_demodulation,[],[f17228,f719]) ).
fof(f17228,plain,
( e3 = op(e1,e0)
| e0 = e3
| ~ spl3_58
| ~ spl3_65
| ~ spl3_69
| ~ spl3_98
| ~ spl3_99
| ~ spl3_101
| ~ spl3_110
| ~ spl3_122 ),
inference(forward_demodulation,[],[f17227,f17220]) ).
fof(f17227,plain,
( e0 = e3
| e3 = op(e1,e2)
| ~ spl3_58
| ~ spl3_65
| ~ spl3_69
| ~ spl3_98
| ~ spl3_99
| ~ spl3_101
| ~ spl3_110
| ~ spl3_122 ),
inference(duplicate_literal_removal,[],[f17226]) ).
fof(f17226,plain,
( e0 = e3
| e0 = e3
| e3 = op(e1,e2)
| ~ spl3_58
| ~ spl3_65
| ~ spl3_69
| ~ spl3_98
| ~ spl3_99
| ~ spl3_101
| ~ spl3_110
| ~ spl3_122 ),
inference(forward_demodulation,[],[f17225,f17178]) ).
fof(f17178,plain,
( e0 = e1
| ~ spl3_65
| ~ spl3_99
| ~ spl3_101 ),
inference(forward_demodulation,[],[f1098,f733]) ).
fof(f17225,plain,
( e0 = e3
| e1 = e3
| e3 = op(e1,e2)
| ~ spl3_58
| ~ spl3_69
| ~ spl3_98
| ~ spl3_99
| ~ spl3_110
| ~ spl3_122 ),
inference(duplicate_literal_removal,[],[f17224]) ).
fof(f17224,plain,
( e0 = e3
| e0 = e3
| e1 = e3
| e3 = op(e1,e2)
| ~ spl3_58
| ~ spl3_69
| ~ spl3_98
| ~ spl3_99
| ~ spl3_110
| ~ spl3_122 ),
inference(forward_demodulation,[],[f17010,f17220]) ).
fof(f17010,plain,
( e2 = e3
| e0 = e3
| e1 = e3
| e3 = op(e1,e2)
| ~ spl3_98
| ~ spl3_99
| ~ spl3_110 ),
inference(forward_demodulation,[],[f17009,f719]) ).
fof(f17009,plain,
( e0 = e3
| e1 = e3
| e3 = op(e1,e2)
| e3 = op(e1,e0)
| ~ spl3_99
| ~ spl3_110 ),
inference(forward_demodulation,[],[f16915,f723]) ).
fof(f16915,plain,
( e1 = e3
| e3 = op(e1,e2)
| e3 = op(e1,e1)
| e3 = op(e1,e0)
| ~ spl3_110 ),
inference(forward_demodulation,[],[f129,f807]) ).
fof(f17185,plain,
( spl3_2
| ~ spl3_69
| ~ spl3_99
| ~ spl3_129 ),
inference(avatar_split_clause,[],[f17167,f1194,f722,f589,f257]) ).
fof(f17167,plain,
( e0 = e2
| ~ spl3_69
| ~ spl3_99
| ~ spl3_129 ),
inference(forward_demodulation,[],[f16376,f723]) ).
fof(f16376,plain,
( e2 = op(e1,e1)
| ~ spl3_69
| ~ spl3_129 ),
inference(forward_demodulation,[],[f591,f1196]) ).
fof(f17158,plain,
( spl3_3
| ~ spl3_64
| ~ spl3_72
| ~ spl3_99
| ~ spl3_119 ),
inference(avatar_split_clause,[],[f17091,f898,f722,f604,f564,f262]) ).
fof(f17091,plain,
( e0 = e3
| ~ spl3_64
| ~ spl3_72
| ~ spl3_99
| ~ spl3_119 ),
inference(forward_demodulation,[],[f3589,f723]) ).
fof(f3589,plain,
( e3 = op(e1,e1)
| ~ spl3_64
| ~ spl3_72
| ~ spl3_119 ),
inference(forward_demodulation,[],[f606,f1141]) ).
fof(f1141,plain,
( e1 = op(e3,e3)
| ~ spl3_64
| ~ spl3_119 ),
inference(superposition,[],[f566,f900]) ).
fof(f17026,plain,
( spl3_119
| spl3_3
| spl3_6
| spl3_5
| ~ spl3_61
| ~ spl3_92
| ~ spl3_106
| ~ spl3_130 ),
inference(avatar_split_clause,[],[f16660,f1267,f753,f692,f549,f272,f277,f262,f898]) ).
fof(f16660,plain,
( e1 = e3
| e2 = e3
| e0 = e3
| e3 = op(e3,e1)
| ~ spl3_61
| ~ spl3_92
| ~ spl3_106
| ~ spl3_130 ),
inference(forward_demodulation,[],[f16659,f755]) ).
fof(f17002,plain,
( spl3_116
| spl3_5
| spl3_3
| ~ spl3_61
| ~ spl3_83
| ~ spl3_92
| ~ spl3_110 ),
inference(avatar_split_clause,[],[f16914,f805,f692,f653,f549,f262,f272,f865]) ).
fof(f16914,plain,
( e0 = e3
| e1 = e3
| e3 = op(e1,e0)
| ~ spl3_61
| ~ spl3_83
| ~ spl3_92
| ~ spl3_110 ),
inference(duplicate_literal_removal,[],[f16913]) ).
fof(f16913,plain,
( e0 = e3
| e1 = e3
| e0 = e3
| e3 = op(e1,e0)
| ~ spl3_61
| ~ spl3_83
| ~ spl3_92
| ~ spl3_110 ),
inference(forward_demodulation,[],[f16912,f654]) ).
fof(f16912,plain,
( e1 = e3
| e0 = e3
| e3 = op(e1,e2)
| e3 = op(e1,e0)
| ~ spl3_61
| ~ spl3_92
| ~ spl3_110 ),
inference(forward_demodulation,[],[f1087,f807]) ).
fof(f1087,plain,
( e0 = e3
| e3 = op(e1,e3)
| e3 = op(e1,e2)
| e3 = op(e1,e0)
| ~ spl3_61
| ~ spl3_92 ),
inference(forward_demodulation,[],[f129,f770]) ).
fof(f16994,plain,
( spl3_78
| ~ spl3_62
| ~ spl3_130 ),
inference(avatar_split_clause,[],[f16957,f1267,f554,f631]) ).
fof(f16957,plain,
( e1 = op(e2,e2)
| ~ spl3_62
| ~ spl3_130 ),
inference(forward_demodulation,[],[f556,f1269]) ).
fof(f16960,plain,
( spl3_1
| ~ spl3_68
| ~ spl3_78
| ~ spl3_99
| ~ spl3_124 ),
inference(avatar_split_clause,[],[f16952,f1114,f722,f631,f584,f252]) ).
fof(f16952,plain,
( e0 = e1
| ~ spl3_68
| ~ spl3_78
| ~ spl3_99
| ~ spl3_124 ),
inference(forward_demodulation,[],[f16951,f723]) ).
fof(f16951,plain,
( e1 = op(e1,e1)
| ~ spl3_68
| ~ spl3_78
| ~ spl3_124 ),
inference(forward_demodulation,[],[f632,f16809]) ).
fof(f16929,plain,
( spl3_93
| spl3_2
| spl3_1
| ~ spl3_76
| ~ spl3_110
| ~ spl3_111 ),
inference(avatar_split_clause,[],[f16891,f809,f805,f622,f252,f257,f696]) ).
fof(f16891,plain,
( e0 = e1
| e0 = e2
| e0 = op(e3,e3)
| ~ spl3_76
| ~ spl3_110
| ~ spl3_111 ),
inference(duplicate_literal_removal,[],[f16890]) ).
fof(f16890,plain,
( e0 = e1
| e0 = e1
| e0 = e2
| e0 = op(e3,e3)
| ~ spl3_76
| ~ spl3_110
| ~ spl3_111 ),
inference(forward_demodulation,[],[f16400,f807]) ).
fof(f16400,plain,
( e0 = e1
| e0 = e2
| e0 = op(e3,e3)
| e0 = op(e1,e3)
| ~ spl3_76
| ~ spl3_111 ),
inference(forward_demodulation,[],[f8699,f811]) ).
fof(f8699,plain,
( e0 = e2
| e0 = op(e3,e3)
| e0 = op(e2,e3)
| e0 = op(e1,e3)
| ~ spl3_76 ),
inference(forward_demodulation,[],[f140,f623]) ).
fof(f16904,plain,
( spl3_86
| spl3_2
| ~ spl3_68
| ~ spl3_112
| ~ spl3_124
| ~ spl3_130 ),
inference(avatar_split_clause,[],[f16882,f1267,f1114,f826,f584,f257,f666]) ).
fof(f16882,plain,
( e0 = e2
| e0 = op(e2,e3)
| ~ spl3_68
| ~ spl3_112
| ~ spl3_124
| ~ spl3_130 ),
inference(duplicate_literal_removal,[],[f16881]) ).
fof(f16881,plain,
( e0 = e2
| e0 = e2
| e0 = op(e2,e3)
| ~ spl3_68
| ~ spl3_112
| ~ spl3_124
| ~ spl3_130 ),
inference(forward_demodulation,[],[f16880,f828]) ).
fof(f16880,plain,
( e0 = e2
| e0 = op(e2,e3)
| e0 = op(e2,e0)
| ~ spl3_68
| ~ spl3_124
| ~ spl3_130 ),
inference(duplicate_literal_removal,[],[f16879]) ).
fof(f16879,plain,
( e0 = e2
| e0 = e2
| e0 = op(e2,e3)
| e0 = op(e2,e0)
| ~ spl3_68
| ~ spl3_124
| ~ spl3_130 ),
inference(forward_demodulation,[],[f3662,f1269]) ).
fof(f16889,plain,
( spl3_111
| spl3_4
| ~ spl3_68
| ~ spl3_112
| ~ spl3_124
| ~ spl3_130 ),
inference(avatar_split_clause,[],[f16878,f1267,f1114,f826,f584,f267,f809]) ).
fof(f16878,plain,
( e1 = e2
| e1 = op(e2,e3)
| ~ spl3_68
| ~ spl3_112
| ~ spl3_124
| ~ spl3_130 ),
inference(duplicate_literal_removal,[],[f16877]) ).
fof(f16877,plain,
( e1 = e2
| e1 = e2
| e1 = op(e2,e3)
| ~ spl3_68
| ~ spl3_112
| ~ spl3_124
| ~ spl3_130 ),
inference(forward_demodulation,[],[f16876,f828]) ).
fof(f16876,plain,
( e1 = e2
| e1 = op(e2,e3)
| e1 = op(e2,e0)
| ~ spl3_68
| ~ spl3_124
| ~ spl3_130 ),
inference(duplicate_literal_removal,[],[f16875]) ).
fof(f16875,plain,
( e1 = e2
| e1 = e2
| e1 = op(e2,e3)
| e1 = op(e2,e0)
| ~ spl3_68
| ~ spl3_124
| ~ spl3_130 ),
inference(forward_demodulation,[],[f16874,f1269]) ).
fof(f16874,plain,
( e1 = e2
| e1 = op(e2,e3)
| e1 = op(e2,e1)
| e1 = op(e2,e0)
| ~ spl3_68
| ~ spl3_124 ),
inference(forward_demodulation,[],[f133,f1464]) ).
fof(f16873,plain,
( spl3_87
| spl3_3
| spl3_6
| ~ spl3_86
| ~ spl3_112
| ~ spl3_130 ),
inference(avatar_split_clause,[],[f16830,f1267,f826,f666,f277,f262,f670]) ).
fof(f16830,plain,
( e2 = e3
| e0 = e3
| e3 = op(e2,e2)
| ~ spl3_86
| ~ spl3_112
| ~ spl3_130 ),
inference(duplicate_literal_removal,[],[f16829]) ).
fof(f16829,plain,
( e2 = e3
| e2 = e3
| e0 = e3
| e3 = op(e2,e2)
| ~ spl3_86
| ~ spl3_112
| ~ spl3_130 ),
inference(forward_demodulation,[],[f16828,f828]) ).
fof(f16828,plain,
( e2 = e3
| e0 = e3
| e3 = op(e2,e2)
| e3 = op(e2,e0)
| ~ spl3_86
| ~ spl3_130 ),
inference(forward_demodulation,[],[f1566,f1269]) ).
fof(f1566,plain,
( e0 = e3
| e3 = op(e2,e2)
| e3 = op(e2,e1)
| e3 = op(e2,e0)
| ~ spl3_86 ),
inference(forward_demodulation,[],[f137,f667]) ).
fof(f16854,plain,
( spl3_134
| spl3_4
| spl3_5
| ~ spl3_68
| ~ spl3_79
| ~ spl3_122
| ~ spl3_124 ),
inference(avatar_split_clause,[],[f16793,f1114,f1026,f635,f584,f272,f267,f1835]) ).
fof(f16793,plain,
( e1 = e3
| e1 = e2
| e1 = op(e3,e2)
| ~ spl3_68
| ~ spl3_79
| ~ spl3_122
| ~ spl3_124 ),
inference(forward_demodulation,[],[f16792,f636]) ).
fof(f16792,plain,
( e1 = e2
| e1 = op(e3,e2)
| e1 = op(e0,e2)
| ~ spl3_68
| ~ spl3_122
| ~ spl3_124 ),
inference(duplicate_literal_removal,[],[f16791]) ).
fof(f16791,plain,
( e1 = e2
| e1 = e2
| e1 = op(e3,e2)
| e1 = op(e0,e2)
| ~ spl3_68
| ~ spl3_122
| ~ spl3_124 ),
inference(forward_demodulation,[],[f3520,f1028]) ).
fof(f3520,plain,
( e1 = e2
| e1 = op(e3,e2)
| e1 = op(e1,e2)
| e1 = op(e0,e2)
| ~ spl3_68
| ~ spl3_124 ),
inference(forward_demodulation,[],[f134,f1464]) ).
fof(f16851,plain,
( ~ spl3_95
| spl3_12
| ~ spl3_92 ),
inference(avatar_split_clause,[],[f771,f692,f307,f705]) ).
fof(f771,plain,
( e1 != op(e2,e0)
| spl3_12
| ~ spl3_92 ),
inference(superposition,[],[f309,f693]) ).
fof(f16827,plain,
( spl3_3
| spl3_5
| ~ spl3_68
| ~ spl3_78
| ~ spl3_86
| ~ spl3_112
| ~ spl3_124
| ~ spl3_130 ),
inference(avatar_split_clause,[],[f16811,f1267,f1114,f826,f666,f631,f584,f272,f262]) ).
fof(f16811,plain,
( e1 = e3
| e0 = e3
| ~ spl3_68
| ~ spl3_78
| ~ spl3_86
| ~ spl3_112
| ~ spl3_124
| ~ spl3_130 ),
inference(duplicate_literal_removal,[],[f16810]) ).
fof(f16810,plain,
( e1 = e3
| e0 = e3
| e1 = e3
| ~ spl3_68
| ~ spl3_78
| ~ spl3_86
| ~ spl3_112
| ~ spl3_124
| ~ spl3_130 ),
inference(forward_demodulation,[],[f16789,f16809]) ).
fof(f16789,plain,
( e0 = e3
| e2 = e3
| e1 = e3
| ~ spl3_78
| ~ spl3_86
| ~ spl3_112
| ~ spl3_130 ),
inference(forward_demodulation,[],[f16641,f667]) ).
fof(f16641,plain,
( e2 = e3
| e1 = e3
| e3 = op(e2,e3)
| ~ spl3_78
| ~ spl3_112
| ~ spl3_130 ),
inference(duplicate_literal_removal,[],[f10128]) ).
fof(f10128,plain,
( e2 = e3
| e2 = e3
| e1 = e3
| e3 = op(e2,e3)
| ~ spl3_78
| ~ spl3_112
| ~ spl3_130 ),
inference(forward_demodulation,[],[f7638,f828]) ).
fof(f7638,plain,
( e2 = e3
| e1 = e3
| e3 = op(e2,e3)
| e3 = op(e2,e0)
| ~ spl3_78
| ~ spl3_130 ),
inference(forward_demodulation,[],[f4246,f1269]) ).
fof(f16807,plain,
( spl3_3
| spl3_6
| ~ spl3_69
| ~ spl3_86
| ~ spl3_112
| ~ spl3_122
| ~ spl3_130 ),
inference(avatar_split_clause,[],[f16777,f1267,f1026,f826,f666,f589,f277,f262]) ).
fof(f16777,plain,
( e2 = e3
| e0 = e3
| ~ spl3_69
| ~ spl3_86
| ~ spl3_112
| ~ spl3_122
| ~ spl3_130 ),
inference(duplicate_literal_removal,[],[f16776]) ).
fof(f16776,plain,
( e2 = e3
| e2 = e3
| e0 = e3
| ~ spl3_69
| ~ spl3_86
| ~ spl3_112
| ~ spl3_122
| ~ spl3_130 ),
inference(forward_demodulation,[],[f16775,f828]) ).
fof(f16775,plain,
( e2 = e3
| e0 = e3
| e3 = op(e2,e0)
| ~ spl3_69
| ~ spl3_86
| ~ spl3_122
| ~ spl3_130 ),
inference(duplicate_literal_removal,[],[f16774]) ).
fof(f16774,plain,
( e2 = e3
| e2 = e3
| e0 = e3
| e3 = op(e2,e0)
| ~ spl3_69
| ~ spl3_86
| ~ spl3_122
| ~ spl3_130 ),
inference(forward_demodulation,[],[f16773,f1269]) ).
fof(f16773,plain,
( e2 = e3
| e0 = e3
| e3 = op(e2,e1)
| e3 = op(e2,e0)
| ~ spl3_69
| ~ spl3_86
| ~ spl3_122 ),
inference(forward_demodulation,[],[f1566,f1033]) ).
fof(f16803,plain,
( spl3_99
| ~ spl3_61
| ~ spl3_92 ),
inference(avatar_split_clause,[],[f770,f692,f549,f722]) ).
fof(f16770,plain,
( ~ spl3_131
| ~ spl3_61
| ~ spl3_92
| ~ spl3_116 ),
inference(avatar_split_clause,[],[f16666,f865,f692,f549,f1271]) ).
fof(f16666,plain,
( e2 != op(e3,e1)
| ~ spl3_61
| ~ spl3_92
| ~ spl3_116 ),
inference(trivial_inequality_removal,[],[f16665]) ).
fof(f16665,plain,
( e3 != e3
| e2 != op(e3,e1)
| ~ spl3_61
| ~ spl3_92
| ~ spl3_116 ),
inference(forward_demodulation,[],[f16664,f867]) ).
fof(f16664,plain,
( e2 != op(e3,e1)
| e3 != op(e1,e0)
| ~ spl3_61
| ~ spl3_92 ),
inference(trivial_inequality_removal,[],[f16663]) ).
fof(f16663,plain,
( e0 != e0
| e2 != op(e3,e1)
| e3 != op(e1,e0)
| ~ spl3_61
| ~ spl3_92 ),
inference(forward_demodulation,[],[f234,f770]) ).
fof(f16768,plain,
( ~ spl3_78
| spl3_62
| ~ spl3_130 ),
inference(avatar_split_clause,[],[f14218,f1267,f554,f631]) ).
fof(f14218,plain,
( e1 != op(e2,e2)
| spl3_62
| ~ spl3_130 ),
inference(forward_demodulation,[],[f555,f1269]) ).
fof(f16759,plain,
( spl3_78
| ~ spl3_64
| ~ spl3_131 ),
inference(avatar_split_clause,[],[f14164,f1271,f564,f631]) ).
fof(f14164,plain,
( e1 = op(e2,e2)
| ~ spl3_64
| ~ spl3_131 ),
inference(forward_demodulation,[],[f566,f1273]) ).
fof(f16638,plain,
( spl3_1
| ~ spl3_99
| ~ spl3_128 ),
inference(avatar_split_clause,[],[f1199,f1190,f722,f252]) ).
fof(f1199,plain,
( e0 = e1
| ~ spl3_99
| ~ spl3_128 ),
inference(forward_demodulation,[],[f1192,f723]) ).
fof(f16619,plain,
( spl3_6
| ~ spl3_98
| ~ spl3_116 ),
inference(avatar_split_clause,[],[f16599,f865,f718,f277]) ).
fof(f16599,plain,
( e2 = e3
| ~ spl3_98
| ~ spl3_116 ),
inference(superposition,[],[f867,f719]) ).
fof(f16572,plain,
( spl3_124
| spl3_4
| spl3_6
| ~ spl3_79
| ~ spl3_87
| ~ spl3_129 ),
inference(avatar_split_clause,[],[f16356,f1194,f670,f635,f277,f267,f1114]) ).
fof(f16356,plain,
( e2 = e3
| e1 = e2
| e2 = op(e3,e2)
| ~ spl3_79
| ~ spl3_87
| ~ spl3_129 ),
inference(duplicate_literal_removal,[],[f16355]) ).
fof(f16355,plain,
( e2 = e3
| e2 = e3
| e1 = e2
| e2 = op(e3,e2)
| ~ spl3_79
| ~ spl3_87
| ~ spl3_129 ),
inference(forward_demodulation,[],[f14306,f636]) ).
fof(f14306,plain,
( e2 = e3
| e1 = e2
| e2 = op(e3,e2)
| e2 = op(e0,e2)
| ~ spl3_87
| ~ spl3_129 ),
inference(forward_demodulation,[],[f14032,f671]) ).
fof(f16492,plain,
( spl3_3
| spl3_5
| spl3_6
| ~ spl3_76
| ~ spl3_81
| ~ spl3_89
| ~ spl3_111 ),
inference(avatar_split_clause,[],[f16439,f809,f679,f644,f622,f277,f272,f262]) ).
fof(f16439,plain,
( e2 = e3
| e1 = e3
| e0 = e3
| ~ spl3_76
| ~ spl3_81
| ~ spl3_89
| ~ spl3_111 ),
inference(duplicate_literal_removal,[],[f16438]) ).
fof(f16438,plain,
( e2 = e3
| e1 = e3
| e2 = e3
| e0 = e3
| ~ spl3_76
| ~ spl3_81
| ~ spl3_89
| ~ spl3_111 ),
inference(forward_demodulation,[],[f16437,f623]) ).
fof(f16437,plain,
( e1 = e3
| e2 = e3
| e0 = e3
| e3 = op(e0,e3)
| ~ spl3_81
| ~ spl3_89
| ~ spl3_111 ),
inference(forward_demodulation,[],[f16436,f811]) ).
fof(f16436,plain,
( e2 = e3
| e0 = e3
| e3 = op(e2,e3)
| e3 = op(e0,e3)
| ~ spl3_81
| ~ spl3_89 ),
inference(forward_demodulation,[],[f15945,f645]) ).
fof(f15945,plain,
( e0 = e3
| e3 = op(e3,e3)
| e3 = op(e2,e3)
| e3 = op(e0,e3)
| ~ spl3_89 ),
inference(forward_demodulation,[],[f146,f680]) ).
fof(f16410,plain,
( spl3_80
| spl3_1
| spl3_3
| ~ spl3_79
| ~ spl3_87
| ~ spl3_129 ),
inference(avatar_split_clause,[],[f16354,f1194,f670,f635,f262,f252,f640]) ).
fof(f16354,plain,
( e0 = e3
| e0 = e1
| e0 = op(e3,e2)
| ~ spl3_79
| ~ spl3_87
| ~ spl3_129 ),
inference(duplicate_literal_removal,[],[f16353]) ).
fof(f16353,plain,
( e0 = e3
| e0 = e3
| e0 = e1
| e0 = op(e3,e2)
| ~ spl3_79
| ~ spl3_87
| ~ spl3_129 ),
inference(forward_demodulation,[],[f14431,f636]) ).
fof(f14431,plain,
( e0 = e3
| e0 = e1
| e0 = op(e3,e2)
| e0 = op(e0,e2)
| ~ spl3_87
| ~ spl3_129 ),
inference(forward_demodulation,[],[f14015,f671]) ).
fof(f16398,plain,
( spl3_5
| ~ spl3_111
| ~ spl3_135 ),
inference(avatar_split_clause,[],[f16378,f2114,f809,f272]) ).
fof(f16378,plain,
( e1 = e3
| ~ spl3_111
| ~ spl3_135 ),
inference(superposition,[],[f811,f2116]) ).
fof(f16337,plain,
( spl3_93
| spl3_3
| spl3_1
| spl3_2
| ~ spl3_76
| ~ spl3_110
| ~ spl3_135 ),
inference(avatar_split_clause,[],[f16308,f2114,f805,f622,f257,f252,f262,f696]) ).
fof(f16308,plain,
( e0 = e2
| e0 = e1
| e0 = e3
| e0 = op(e3,e3)
| ~ spl3_76
| ~ spl3_110
| ~ spl3_135 ),
inference(forward_demodulation,[],[f14294,f623]) ).
fof(f14294,plain,
( e0 = e1
| e0 = e3
| e0 = op(e3,e3)
| e0 = op(e0,e3)
| ~ spl3_110
| ~ spl3_135 ),
inference(forward_demodulation,[],[f2380,f807]) ).
fof(f16334,plain,
( ~ spl3_81
| spl3_66
| ~ spl3_87 ),
inference(avatar_split_clause,[],[f16245,f670,f574,f644]) ).
fof(f16245,plain,
( e2 != op(e3,e3)
| spl3_66
| ~ spl3_87 ),
inference(forward_demodulation,[],[f575,f671]) ).
fof(f575,plain,
( e2 != op(op(e2,e2),op(e2,e2))
| spl3_66 ),
inference(avatar_component_clause,[],[f574]) ).
fof(f16305,plain,
( spl3_81
| ~ spl3_67
| ~ spl3_79 ),
inference(avatar_split_clause,[],[f2720,f635,f579,f644]) ).
fof(f2720,plain,
( e2 = op(e3,e3)
| ~ spl3_67
| ~ spl3_79 ),
inference(superposition,[],[f581,f636]) ).
fof(f16304,plain,
( ~ spl3_75
| spl3_64
| ~ spl3_119 ),
inference(avatar_split_clause,[],[f16057,f898,f564,f618]) ).
fof(f16057,plain,
( e1 != op(e3,e3)
| spl3_64
| ~ spl3_119 ),
inference(forward_demodulation,[],[f565,f900]) ).
fof(f16217,plain,
( spl3_89
| spl3_2
| spl3_1
| ~ spl3_84
| ~ spl3_107
| ~ spl3_129 ),
inference(avatar_split_clause,[],[f16205,f1194,f766,f657,f252,f257,f679]) ).
fof(f16205,plain,
( e0 = e1
| e0 = e2
| e0 = op(e1,e3)
| ~ spl3_84
| ~ spl3_107
| ~ spl3_129 ),
inference(duplicate_literal_removal,[],[f16204]) ).
fof(f16204,plain,
( e0 = e1
| e0 = e1
| e0 = e2
| e0 = op(e1,e3)
| ~ spl3_84
| ~ spl3_107
| ~ spl3_129 ),
inference(forward_demodulation,[],[f15636,f768]) ).
fof(f15636,plain,
( e0 = e1
| e0 = e2
| e0 = op(e1,e3)
| e0 = op(e1,e0)
| ~ spl3_84
| ~ spl3_129 ),
inference(forward_demodulation,[],[f2909,f1196]) ).
fof(f2909,plain,
( e0 = e2
| e0 = op(e1,e3)
| e0 = op(e1,e2)
| e0 = op(e1,e0)
| ~ spl3_84 ),
inference(forward_demodulation,[],[f123,f658]) ).
fof(f658,plain,
( e2 = op(e1,e1)
| ~ spl3_84 ),
inference(avatar_component_clause,[],[f657]) ).
fof(f16187,plain,
( spl3_123
| spl3_4
| spl3_6
| spl3_2
| ~ spl3_62
| ~ spl3_100
| ~ spl3_104
| ~ spl3_132 ),
inference(avatar_split_clause,[],[f16123,f1368,f743,f726,f554,f257,f277,f267,f1102]) ).
fof(f16123,plain,
( e0 = e2
| e2 = e3
| e1 = e2
| e2 = op(e2,e3)
| ~ spl3_62
| ~ spl3_100
| ~ spl3_104
| ~ spl3_132 ),
inference(forward_demodulation,[],[f12045,f745]) ).
fof(f12045,plain,
( e2 = e3
| e1 = e2
| e2 = op(e2,e3)
| e2 = op(e0,e3)
| ~ spl3_62
| ~ spl3_100
| ~ spl3_132 ),
inference(forward_demodulation,[],[f6369,f1370]) ).
fof(f16173,plain,
( spl3_75
| ~ spl3_62
| ~ spl3_100 ),
inference(avatar_split_clause,[],[f8557,f726,f554,f618]) ).
fof(f8557,plain,
( e1 = op(e3,e3)
| ~ spl3_62
| ~ spl3_100 ),
inference(superposition,[],[f556,f727]) ).
fof(f16170,plain,
( ~ spl3_81
| spl3_68
| ~ spl3_133 ),
inference(avatar_split_clause,[],[f15417,f1377,f584,f644]) ).
fof(f15417,plain,
( e2 != op(e3,e3)
| spl3_68
| ~ spl3_133 ),
inference(forward_demodulation,[],[f585,f1379]) ).
fof(f16112,plain,
( spl3_128
| ~ spl3_62
| ~ spl3_127 ),
inference(avatar_split_clause,[],[f10694,f1177,f554,f1190]) ).
fof(f10694,plain,
( e1 = op(e1,e1)
| ~ spl3_62
| ~ spl3_127 ),
inference(superposition,[],[f556,f1179]) ).
fof(f16102,plain,
( spl3_81
| ~ spl3_66
| ~ spl3_87 ),
inference(avatar_split_clause,[],[f13593,f670,f574,f644]) ).
fof(f13593,plain,
( e2 = op(e3,e3)
| ~ spl3_66
| ~ spl3_87 ),
inference(forward_demodulation,[],[f576,f671]) ).
fof(f16100,plain,
( ~ spl3_87
| spl3_72
| ~ spl3_81 ),
inference(avatar_split_clause,[],[f8388,f644,f604,f670]) ).
fof(f8388,plain,
( e3 != op(e2,e2)
| spl3_72
| ~ spl3_81 ),
inference(forward_demodulation,[],[f605,f645]) ).
fof(f16059,plain,
( spl3_96
| spl3_80
| spl3_2
| spl3_3
| ~ spl3_97
| ~ spl3_109 ),
inference(avatar_split_clause,[],[f12384,f780,f713,f262,f257,f640,f709]) ).
fof(f12384,plain,
( e0 = e3
| e0 = e2
| e0 = op(e3,e2)
| e0 = op(e2,e2)
| ~ spl3_97
| ~ spl3_109 ),
inference(forward_demodulation,[],[f12147,f714]) ).
fof(f12147,plain,
( e0 = e2
| e0 = op(e3,e2)
| e0 = op(e2,e2)
| e0 = op(e1,e2)
| ~ spl3_109 ),
inference(forward_demodulation,[],[f132,f782]) ).
fof(f16054,plain,
( spl3_135
| spl3_3
| spl3_5
| ~ spl3_75
| ~ spl3_82
| ~ spl3_89 ),
inference(avatar_split_clause,[],[f16011,f679,f648,f618,f272,f262,f2114]) ).
fof(f16011,plain,
( e1 = e3
| e0 = e3
| e3 = op(e2,e3)
| ~ spl3_75
| ~ spl3_82
| ~ spl3_89 ),
inference(duplicate_literal_removal,[],[f16010]) ).
fof(f16010,plain,
( e1 = e3
| e0 = e3
| e1 = e3
| e3 = op(e2,e3)
| ~ spl3_75
| ~ spl3_82
| ~ spl3_89 ),
inference(forward_demodulation,[],[f15991,f649]) ).
fof(f15991,plain,
( e0 = e3
| e1 = e3
| e3 = op(e2,e3)
| e3 = op(e0,e3)
| ~ spl3_75
| ~ spl3_89 ),
inference(forward_demodulation,[],[f9136,f680]) ).
fof(f9136,plain,
( e1 = e3
| e3 = op(e2,e3)
| e3 = op(e1,e3)
| e3 = op(e0,e3)
| ~ spl3_75 ),
inference(forward_demodulation,[],[f146,f619]) ).
fof(f16009,plain,
( spl3_133
| spl3_6
| spl3_5
| ~ spl3_62
| ~ spl3_100
| ~ spl3_113
| ~ spl3_137 ),
inference(avatar_split_clause,[],[f15968,f3902,f830,f726,f554,f272,f277,f1377]) ).
fof(f15968,plain,
( e1 = e3
| e2 = e3
| e3 = op(e3,e2)
| ~ spl3_62
| ~ spl3_100
| ~ spl3_113
| ~ spl3_137 ),
inference(duplicate_literal_removal,[],[f15967]) ).
fof(f15967,plain,
( e1 = e3
| e2 = e3
| e1 = e3
| e3 = op(e3,e2)
| ~ spl3_62
| ~ spl3_100
| ~ spl3_113
| ~ spl3_137 ),
inference(forward_demodulation,[],[f13694,f3904]) ).
fof(f13694,plain,
( e2 = e3
| e1 = e3
| e3 = op(e3,e2)
| e3 = op(e3,e1)
| ~ spl3_62
| ~ spl3_100
| ~ spl3_113 ),
inference(forward_demodulation,[],[f4355,f832]) ).
fof(f15937,plain,
( spl3_123
| spl3_2
| spl3_4
| ~ spl3_82
| ~ spl3_89
| ~ spl3_93 ),
inference(avatar_split_clause,[],[f15512,f696,f679,f648,f267,f257,f1102]) ).
fof(f15512,plain,
( e1 = e2
| e0 = e2
| e2 = op(e2,e3)
| ~ spl3_82
| ~ spl3_89
| ~ spl3_93 ),
inference(forward_demodulation,[],[f10715,f649]) ).
fof(f10715,plain,
( e0 = e2
| e2 = op(e2,e3)
| e2 = op(e0,e3)
| ~ spl3_89
| ~ spl3_93 ),
inference(duplicate_literal_removal,[],[f9574]) ).
fof(f9574,plain,
( e0 = e2
| e0 = e2
| e2 = op(e2,e3)
| e2 = op(e0,e3)
| ~ spl3_89
| ~ spl3_93 ),
inference(forward_demodulation,[],[f9552,f680]) ).
fof(f9552,plain,
( e0 = e2
| e2 = op(e2,e3)
| e2 = op(e1,e3)
| e2 = op(e0,e3)
| ~ spl3_93 ),
inference(forward_demodulation,[],[f144,f697]) ).
fof(f15639,plain,
( spl3_134
| spl3_4
| spl3_1
| ~ spl3_74
| ~ spl3_93
| ~ spl3_113 ),
inference(avatar_split_clause,[],[f15605,f830,f696,f614,f252,f267,f1835]) ).
fof(f15605,plain,
( e0 = e1
| e1 = e2
| e1 = op(e3,e2)
| ~ spl3_74
| ~ spl3_93
| ~ spl3_113 ),
inference(duplicate_literal_removal,[],[f15604]) ).
fof(f15604,plain,
( e0 = e1
| e1 = e2
| e0 = e1
| e1 = op(e3,e2)
| ~ spl3_74
| ~ spl3_93
| ~ spl3_113 ),
inference(forward_demodulation,[],[f13003,f697]) ).
fof(f13003,plain,
( e1 = e2
| e0 = e1
| e1 = op(e3,e3)
| e1 = op(e3,e2)
| ~ spl3_74
| ~ spl3_113 ),
inference(forward_demodulation,[],[f13002,f832]) ).
fof(f13002,plain,
( e0 = e1
| e1 = op(e3,e3)
| e1 = op(e3,e2)
| e1 = op(e3,e0)
| ~ spl3_74 ),
inference(forward_demodulation,[],[f141,f615]) ).
fof(f15618,plain,
( spl3_6
| spl3_3
| spl3_5
| ~ spl3_84
| ~ spl3_89
| ~ spl3_107
| ~ spl3_129 ),
inference(avatar_split_clause,[],[f15584,f1194,f766,f679,f657,f272,f262,f277]) ).
fof(f15584,plain,
( e1 = e3
| e0 = e3
| e2 = e3
| ~ spl3_84
| ~ spl3_89
| ~ spl3_107
| ~ spl3_129 ),
inference(duplicate_literal_removal,[],[f15583]) ).
fof(f15583,plain,
( e1 = e3
| e0 = e3
| e1 = e3
| e2 = e3
| ~ spl3_84
| ~ spl3_89
| ~ spl3_107
| ~ spl3_129 ),
inference(forward_demodulation,[],[f15582,f768]) ).
fof(f15582,plain,
( e0 = e3
| e1 = e3
| e2 = e3
| e3 = op(e1,e0)
| ~ spl3_84
| ~ spl3_89
| ~ spl3_129 ),
inference(forward_demodulation,[],[f2382,f680]) ).
fof(f2382,plain,
( e1 = e3
| e2 = e3
| e3 = op(e1,e3)
| e3 = op(e1,e0)
| ~ spl3_84
| ~ spl3_129 ),
inference(forward_demodulation,[],[f1330,f1196]) ).
fof(f1330,plain,
( e2 = e3
| e3 = op(e1,e3)
| e3 = op(e1,e2)
| e3 = op(e1,e0)
| ~ spl3_84 ),
inference(forward_demodulation,[],[f129,f658]) ).
fof(f15443,plain,
( spl3_121
| ~ spl3_64
| ~ spl3_74
| ~ spl3_101 ),
inference(avatar_split_clause,[],[f15175,f731,f614,f564,f948]) ).
fof(f15175,plain,
( e0 = op(e3,e0)
| ~ spl3_64
| ~ spl3_74
| ~ spl3_101 ),
inference(forward_demodulation,[],[f615,f15174]) ).
fof(f15174,plain,
( e0 = e1
| ~ spl3_64
| ~ spl3_74
| ~ spl3_101 ),
inference(forward_demodulation,[],[f4736,f733]) ).
fof(f4736,plain,
( op(e0,e0) = e1
| ~ spl3_64
| ~ spl3_74 ),
inference(superposition,[],[f566,f615]) ).
fof(f15379,plain,
( spl3_103
| ~ spl3_93
| ~ spl3_133
| ~ spl3_136 ),
inference(avatar_split_clause,[],[f15355,f2462,f1377,f696,f739]) ).
fof(f15355,plain,
( e0 = op(e0,e2)
| ~ spl3_93
| ~ spl3_133
| ~ spl3_136 ),
inference(forward_demodulation,[],[f1379,f2752]) ).
fof(f15234,plain,
( spl3_5
| ~ spl3_133
| ~ spl3_134 ),
inference(avatar_split_clause,[],[f14932,f1835,f1377,f272]) ).
fof(f14932,plain,
( e1 = e3
| ~ spl3_133
| ~ spl3_134 ),
inference(forward_demodulation,[],[f1379,f1836]) ).
fof(f14883,plain,
( spl3_81
| spl3_4
| spl3_2
| ~ spl3_82
| ~ spl3_89
| ~ spl3_111 ),
inference(avatar_split_clause,[],[f14746,f809,f679,f648,f257,f267,f644]) ).
fof(f14746,plain,
( e0 = e2
| e1 = e2
| e2 = op(e3,e3)
| ~ spl3_82
| ~ spl3_89
| ~ spl3_111 ),
inference(forward_demodulation,[],[f14745,f680]) ).
fof(f14745,plain,
( e1 = e2
| e2 = op(e3,e3)
| e2 = op(e1,e3)
| ~ spl3_82
| ~ spl3_111 ),
inference(duplicate_literal_removal,[],[f14744]) ).
fof(f14872,plain,
( spl3_136
| spl3_3
| spl3_5
| ~ spl3_82
| ~ spl3_89
| ~ spl3_111 ),
inference(avatar_split_clause,[],[f14743,f809,f679,f648,f272,f262,f2462]) ).
fof(f14743,plain,
( e1 = e3
| e0 = e3
| e3 = op(e3,e3)
| ~ spl3_82
| ~ spl3_89
| ~ spl3_111 ),
inference(duplicate_literal_removal,[],[f14742]) ).
fof(f14742,plain,
( e1 = e3
| e1 = e3
| e0 = e3
| e3 = op(e3,e3)
| ~ spl3_82
| ~ spl3_89
| ~ spl3_111 ),
inference(forward_demodulation,[],[f12515,f811]) ).
fof(f12515,plain,
( e1 = e3
| e0 = e3
| e3 = op(e3,e3)
| e3 = op(e2,e3)
| ~ spl3_82
| ~ spl3_89 ),
inference(forward_demodulation,[],[f12292,f649]) ).
fof(f12292,plain,
( e0 = e3
| e3 = op(e3,e3)
| e3 = op(e2,e3)
| e3 = op(e0,e3)
| ~ spl3_89 ),
inference(forward_demodulation,[],[f146,f680]) ).
fof(f14844,plain,
( spl3_112
| spl3_4
| spl3_2
| ~ spl3_77
| ~ spl3_96
| ~ spl3_111 ),
inference(avatar_split_clause,[],[f14740,f809,f709,f627,f257,f267,f826]) ).
fof(f14740,plain,
( e0 = e2
| e1 = e2
| e2 = op(e2,e0)
| ~ spl3_77
| ~ spl3_96
| ~ spl3_111 ),
inference(duplicate_literal_removal,[],[f14739]) ).
fof(f14739,plain,
( e0 = e2
| e1 = e2
| e0 = e2
| e2 = op(e2,e0)
| ~ spl3_77
| ~ spl3_96
| ~ spl3_111 ),
inference(forward_demodulation,[],[f13358,f628]) ).
fof(f13358,plain,
( e1 = e2
| e0 = e2
| e2 = op(e2,e1)
| e2 = op(e2,e0)
| ~ spl3_96
| ~ spl3_111 ),
inference(forward_demodulation,[],[f12548,f811]) ).
fof(f14813,plain,
( spl3_105
| ~ spl3_62
| ~ spl3_77 ),
inference(avatar_split_clause,[],[f6585,f627,f554,f749]) ).
fof(f6585,plain,
( op(e0,e0) = e1
| ~ spl3_62
| ~ spl3_77 ),
inference(superposition,[],[f556,f628]) ).
fof(f14810,plain,
( ~ spl3_81
| spl3_69
| ~ spl3_97 ),
inference(avatar_split_clause,[],[f14618,f713,f589,f644]) ).
fof(f14618,plain,
( e2 != op(e3,e3)
| spl3_69
| ~ spl3_97 ),
inference(forward_demodulation,[],[f590,f714]) ).
fof(f14700,plain,
( spl3_5
| ~ spl3_71
| ~ spl3_104
| ~ spl3_105 ),
inference(avatar_split_clause,[],[f14683,f749,f743,f599,f272]) ).
fof(f14683,plain,
( e1 = e3
| ~ spl3_71
| ~ spl3_104
| ~ spl3_105 ),
inference(forward_demodulation,[],[f6791,f751]) ).
fof(f6791,plain,
( op(e0,e0) = e3
| ~ spl3_71
| ~ spl3_104 ),
inference(forward_demodulation,[],[f601,f745]) ).
fof(f14637,plain,
( spl3_121
| spl3_1
| spl3_3
| ~ spl3_105
| ~ spl3_107
| ~ spl3_117 ),
inference(avatar_split_clause,[],[f10430,f869,f766,f749,f262,f252,f948]) ).
fof(f10430,plain,
( e0 = e3
| e0 = e1
| e0 = op(e3,e0)
| ~ spl3_105
| ~ spl3_107
| ~ spl3_117 ),
inference(forward_demodulation,[],[f10194,f871]) ).
fof(f10194,plain,
( e0 = e1
| e0 = op(e3,e0)
| e0 = op(e2,e0)
| ~ spl3_105
| ~ spl3_107 ),
inference(duplicate_literal_removal,[],[f10193]) ).
fof(f10193,plain,
( e0 = e1
| e0 = e1
| e0 = op(e3,e0)
| e0 = op(e2,e0)
| ~ spl3_105
| ~ spl3_107 ),
inference(forward_demodulation,[],[f9139,f751]) ).
fof(f9139,plain,
( e0 = e1
| e0 = op(e3,e0)
| e0 = op(e2,e0)
| e0 = op(e0,e0)
| ~ spl3_107 ),
inference(forward_demodulation,[],[f116,f768]) ).
fof(f14458,plain,
( spl3_80
| spl3_1
| spl3_3
| spl3_2
| ~ spl3_87
| ~ spl3_109
| ~ spl3_129 ),
inference(avatar_split_clause,[],[f14432,f1194,f780,f670,f257,f262,f252,f640]) ).
fof(f14432,plain,
( e0 = e2
| e0 = e3
| e0 = e1
| e0 = op(e3,e2)
| ~ spl3_87
| ~ spl3_109
| ~ spl3_129 ),
inference(forward_demodulation,[],[f14431,f782]) ).
fof(f14445,plain,
( spl3_89
| spl3_1
| spl3_2
| spl3_3
| ~ spl3_84
| ~ spl3_116
| ~ spl3_129 ),
inference(avatar_split_clause,[],[f14429,f1194,f865,f657,f262,f257,f252,f679]) ).
fof(f14429,plain,
( e0 = e3
| e0 = e2
| e0 = e1
| e0 = op(e1,e3)
| ~ spl3_84
| ~ spl3_116
| ~ spl3_129 ),
inference(forward_demodulation,[],[f14280,f867]) ).
fof(f14280,plain,
( e0 = e2
| e0 = e1
| e0 = op(e1,e3)
| e0 = op(e1,e0)
| ~ spl3_84
| ~ spl3_129 ),
inference(forward_demodulation,[],[f1935,f658]) ).
fof(f1935,plain,
( e0 = e1
| e0 = op(e1,e3)
| e0 = op(e1,e1)
| e0 = op(e1,e0)
| ~ spl3_129 ),
inference(forward_demodulation,[],[f123,f1196]) ).
fof(f14425,plain,
( spl3_86
| spl3_93
| spl3_1
| spl3_3
| ~ spl3_110
| ~ spl3_115 ),
inference(avatar_split_clause,[],[f11213,f848,f805,f262,f252,f696,f666]) ).
fof(f11213,plain,
( e0 = e3
| e0 = e1
| e0 = op(e3,e3)
| e0 = op(e2,e3)
| ~ spl3_110
| ~ spl3_115 ),
inference(forward_demodulation,[],[f4311,f850]) ).
fof(f4311,plain,
( e0 = e1
| e0 = op(e3,e3)
| e0 = op(e2,e3)
| e0 = op(e0,e3)
| ~ spl3_110 ),
inference(forward_demodulation,[],[f140,f807]) ).
fof(f14413,plain,
( spl3_137
| spl3_4
| spl3_1
| ~ spl3_77
| ~ spl3_84
| ~ spl3_102 ),
inference(avatar_split_clause,[],[f14359,f735,f657,f627,f252,f267,f3902]) ).
fof(f14359,plain,
( e0 = e1
| e1 = e2
| e1 = op(e3,e1)
| ~ spl3_77
| ~ spl3_84
| ~ spl3_102 ),
inference(duplicate_literal_removal,[],[f14358]) ).
fof(f14358,plain,
( e0 = e1
| e0 = e1
| e1 = e2
| e1 = op(e3,e1)
| ~ spl3_77
| ~ spl3_84
| ~ spl3_102 ),
inference(forward_demodulation,[],[f13560,f628]) ).
fof(f13560,plain,
( e0 = e1
| e1 = e2
| e1 = op(e3,e1)
| e1 = op(e2,e1)
| ~ spl3_84
| ~ spl3_102 ),
inference(forward_demodulation,[],[f4390,f737]) ).
fof(f4390,plain,
( e1 = e2
| e1 = op(e3,e1)
| e1 = op(e2,e1)
| e1 = op(e0,e1)
| ~ spl3_84 ),
inference(forward_demodulation,[],[f126,f658]) ).
fof(f14411,plain,
( ~ spl3_93
| spl3_58
| ~ spl3_116 ),
inference(avatar_split_clause,[],[f11281,f865,f535,f696]) ).
fof(f11281,plain,
( e0 != op(e3,e3)
| spl3_58
| ~ spl3_116 ),
inference(superposition,[],[f536,f867]) ).
fof(f14309,plain,
( spl3_121
| spl3_1
| spl3_2
| spl3_3
| ~ spl3_105
| ~ spl3_112
| ~ spl3_116 ),
inference(avatar_split_clause,[],[f11714,f865,f826,f749,f262,f257,f252,f948]) ).
fof(f11714,plain,
( e0 = e3
| e0 = e2
| e0 = e1
| e0 = op(e3,e0)
| ~ spl3_105
| ~ spl3_112
| ~ spl3_116 ),
inference(forward_demodulation,[],[f11713,f867]) ).
fof(f11713,plain,
( e0 = e2
| e0 = e1
| e0 = op(e3,e0)
| e0 = op(e1,e0)
| ~ spl3_105
| ~ spl3_112 ),
inference(forward_demodulation,[],[f11207,f828]) ).
fof(f14305,plain,
( spl3_126
| spl3_4
| spl3_2
| ~ spl3_103
| ~ spl3_129
| ~ spl3_134 ),
inference(avatar_split_clause,[],[f14279,f1835,f1194,f739,f257,f267,f1164]) ).
fof(f14279,plain,
( e0 = e2
| e1 = e2
| e2 = op(e2,e2)
| ~ spl3_103
| ~ spl3_129
| ~ spl3_134 ),
inference(forward_demodulation,[],[f14278,f741]) ).
fof(f14278,plain,
( e1 = e2
| e2 = op(e2,e2)
| e2 = op(e0,e2)
| ~ spl3_129
| ~ spl3_134 ),
inference(duplicate_literal_removal,[],[f14277]) ).
fof(f14277,plain,
( e1 = e2
| e1 = e2
| e2 = op(e2,e2)
| e2 = op(e0,e2)
| ~ spl3_129
| ~ spl3_134 ),
inference(forward_demodulation,[],[f14032,f1836]) ).
fof(f14291,plain,
( spl3_135
| spl3_5
| spl3_6
| ~ spl3_76
| ~ spl3_81
| ~ spl3_110 ),
inference(avatar_split_clause,[],[f14235,f805,f644,f622,f277,f272,f2114]) ).
fof(f14235,plain,
( e2 = e3
| e1 = e3
| e3 = op(e2,e3)
| ~ spl3_76
| ~ spl3_81
| ~ spl3_110 ),
inference(duplicate_literal_removal,[],[f14234]) ).
fof(f14234,plain,
( e2 = e3
| e2 = e3
| e1 = e3
| e3 = op(e2,e3)
| ~ spl3_76
| ~ spl3_81
| ~ spl3_110 ),
inference(forward_demodulation,[],[f12485,f623]) ).
fof(f12485,plain,
( e2 = e3
| e1 = e3
| e3 = op(e2,e3)
| e3 = op(e0,e3)
| ~ spl3_81
| ~ spl3_110 ),
inference(forward_demodulation,[],[f11347,f645]) ).
fof(f11347,plain,
( e1 = e3
| e3 = op(e3,e3)
| e3 = op(e2,e3)
| e3 = op(e0,e3)
| ~ spl3_110 ),
inference(forward_demodulation,[],[f146,f807]) ).
fof(f14289,plain,
( ~ spl3_84
| spl3_69
| ~ spl3_129 ),
inference(avatar_split_clause,[],[f6647,f1194,f589,f657]) ).
fof(f6647,plain,
( e2 != op(e1,e1)
| spl3_69
| ~ spl3_129 ),
inference(superposition,[],[f590,f1196]) ).
fof(f14272,plain,
( spl3_89
| spl3_2
| spl3_3
| ~ spl3_84
| ~ spl3_97
| ~ spl3_116 ),
inference(avatar_split_clause,[],[f11696,f865,f713,f657,f262,f257,f679]) ).
fof(f11696,plain,
( e0 = e3
| e0 = e2
| e0 = op(e1,e3)
| ~ spl3_84
| ~ spl3_97
| ~ spl3_116 ),
inference(duplicate_literal_removal,[],[f11695]) ).
fof(f11695,plain,
( e0 = e3
| e0 = e3
| e0 = e2
| e0 = op(e1,e3)
| ~ spl3_84
| ~ spl3_97
| ~ spl3_116 ),
inference(forward_demodulation,[],[f4350,f867]) ).
fof(f4350,plain,
( e0 = e3
| e0 = e2
| e0 = op(e1,e3)
| e0 = op(e1,e0)
| ~ spl3_84
| ~ spl3_97 ),
inference(forward_demodulation,[],[f2909,f714]) ).
fof(f14257,plain,
( spl3_74
| spl3_3
| spl3_2
| ~ spl3_84
| ~ spl3_85
| ~ spl3_130 ),
inference(avatar_split_clause,[],[f11555,f1267,f661,f657,f257,f262,f614]) ).
fof(f11555,plain,
( e0 = e2
| e0 = e3
| e0 = op(e3,e1)
| ~ spl3_84
| ~ spl3_85
| ~ spl3_130 ),
inference(duplicate_literal_removal,[],[f10809]) ).
fof(f10809,plain,
( e0 = e2
| e0 = e3
| e0 = e2
| e0 = op(e3,e1)
| ~ spl3_84
| ~ spl3_85
| ~ spl3_130 ),
inference(forward_demodulation,[],[f4392,f1269]) ).
fof(f4392,plain,
( e0 = e3
| e0 = e2
| e0 = op(e3,e1)
| e0 = op(e2,e1)
| ~ spl3_84
| ~ spl3_85 ),
inference(forward_demodulation,[],[f3660,f662]) ).
fof(f3660,plain,
( e0 = e2
| e0 = op(e3,e1)
| e0 = op(e2,e1)
| e0 = op(e0,e1)
| ~ spl3_84 ),
inference(forward_demodulation,[],[f124,f658]) ).
fof(f14255,plain,
( ~ spl3_113
| ~ spl3_85
| ~ spl3_105 ),
inference(avatar_split_clause,[],[f14225,f749,f661,f830]) ).
fof(f14225,plain,
( e2 != op(e3,e0)
| ~ spl3_85
| ~ spl3_105 ),
inference(trivial_inequality_removal,[],[f14224]) ).
fof(f14224,plain,
( e3 != e3
| e2 != op(e3,e0)
| ~ spl3_85
| ~ spl3_105 ),
inference(forward_demodulation,[],[f14118,f662]) ).
fof(f14118,plain,
( e2 != op(e3,e0)
| e3 != op(e0,e1)
| ~ spl3_105 ),
inference(trivial_inequality_removal,[],[f6597]) ).
fof(f6597,plain,
( e1 != e1
| e2 != op(e3,e0)
| e3 != op(e0,e1)
| ~ spl3_105 ),
inference(forward_demodulation,[],[f246,f751]) ).
fof(f246,plain,
( e2 != op(e3,e0)
| op(e0,e0) != e1
| e3 != op(e0,e1) ),
inference(inner_rewriting,[],[f245]) ).
fof(f245,plain,
( e2 != op(op(e0,e1),e0)
| op(e0,e0) != e1
| e3 != op(e0,e1) ),
inference(inner_rewriting,[],[f200]) ).
fof(f200,plain,
( e2 != op(op(e0,op(e0,e0)),e0)
| op(e0,e0) != e1
| e3 != op(e0,op(e0,e0)) ),
inference(cnf_transformation,[],[f51]) ).
fof(f51,plain,
( e2 != op(op(e0,op(e0,e0)),e0)
| op(e0,e0) != e1
| e3 != op(e0,op(e0,e0)) ),
inference(ennf_transformation,[],[f27]) ).
fof(f27,axiom,
~ ( e2 = op(op(e0,op(e0,e0)),e0)
& op(e0,e0) = e1
& e3 = op(e0,op(e0,e0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax27) ).
fof(f14247,plain,
( spl3_81
| ~ spl3_66
| ~ spl3_87 ),
inference(avatar_split_clause,[],[f13593,f670,f574,f644]) ).
fof(f14219,plain,
( spl3_78
| ~ spl3_64
| ~ spl3_131 ),
inference(avatar_split_clause,[],[f14164,f1271,f564,f631]) ).
fof(f14214,plain,
( spl3_78
| ~ spl3_62
| ~ spl3_130 ),
inference(avatar_split_clause,[],[f11997,f1267,f554,f631]) ).
fof(f11997,plain,
( e1 = op(e2,e2)
| ~ spl3_62
| ~ spl3_130 ),
inference(forward_demodulation,[],[f556,f1269]) ).
fof(f14115,plain,
( spl3_74
| spl3_2
| spl3_3
| spl3_1
| ~ spl3_84
| ~ spl3_85
| ~ spl3_127 ),
inference(avatar_split_clause,[],[f14042,f1177,f661,f657,f252,f262,f257,f614]) ).
fof(f14042,plain,
( e0 = e1
| e0 = e3
| e0 = e2
| e0 = op(e3,e1)
| ~ spl3_84
| ~ spl3_85
| ~ spl3_127 ),
inference(forward_demodulation,[],[f4392,f1179]) ).
fof(f14113,plain,
( spl3_86
| spl3_1
| spl3_3
| ~ spl3_64
| ~ spl3_117
| ~ spl3_127
| ~ spl3_131 ),
inference(avatar_split_clause,[],[f14046,f1271,f1177,f869,f564,f262,f252,f666]) ).
fof(f14046,plain,
( e0 = e3
| e0 = e1
| e0 = op(e2,e3)
| ~ spl3_64
| ~ spl3_117
| ~ spl3_127
| ~ spl3_131 ),
inference(forward_demodulation,[],[f12414,f871]) ).
fof(f12414,plain,
( e0 = e1
| e0 = op(e2,e3)
| e0 = op(e2,e0)
| ~ spl3_64
| ~ spl3_127
| ~ spl3_131 ),
inference(duplicate_literal_removal,[],[f12413]) ).
fof(f12413,plain,
( e0 = e1
| e0 = e1
| e0 = op(e2,e3)
| e0 = op(e2,e0)
| ~ spl3_64
| ~ spl3_127
| ~ spl3_131 ),
inference(forward_demodulation,[],[f12412,f1179]) ).
fof(f12412,plain,
( e0 = e1
| e0 = op(e2,e3)
| e0 = op(e2,e1)
| e0 = op(e2,e0)
| ~ spl3_64
| ~ spl3_131 ),
inference(forward_demodulation,[],[f131,f11946]) ).
fof(f11946,plain,
( e1 = op(e2,e2)
| ~ spl3_64
| ~ spl3_131 ),
inference(superposition,[],[f566,f1273]) ).
fof(f14108,plain,
( ~ spl3_96
| spl3_60
| ~ spl3_108 ),
inference(avatar_split_clause,[],[f4119,f776,f544,f709]) ).
fof(f14010,plain,
( spl3_2
| ~ spl3_56
| ~ spl3_66
| ~ spl3_87
| ~ spl3_117 ),
inference(avatar_split_clause,[],[f13980,f869,f670,f574,f526,f257]) ).
fof(f13980,plain,
( e0 = e2
| ~ spl3_56
| ~ spl3_66
| ~ spl3_87
| ~ spl3_117 ),
inference(forward_demodulation,[],[f13593,f10879]) ).
fof(f10879,plain,
( e0 = op(e3,e3)
| ~ spl3_56
| ~ spl3_117 ),
inference(superposition,[],[f528,f871]) ).
fof(f13950,plain,
( spl3_108
| ~ spl3_66
| ~ spl3_96 ),
inference(avatar_split_clause,[],[f1128,f709,f574,f776]) ).
fof(f13947,plain,
( ~ spl3_105
| spl3_63
| ~ spl3_102 ),
inference(avatar_split_clause,[],[f13595,f735,f559,f749]) ).
fof(f13595,plain,
( op(e0,e0) != e1
| spl3_63
| ~ spl3_102 ),
inference(forward_demodulation,[],[f560,f737]) ).
fof(f13938,plain,
( spl3_96
| ~ spl3_56
| ~ spl3_112 ),
inference(avatar_split_clause,[],[f11747,f826,f526,f709]) ).
fof(f11747,plain,
( e0 = op(e2,e2)
| ~ spl3_56
| ~ spl3_112 ),
inference(forward_demodulation,[],[f528,f828]) ).
fof(f13874,plain,
( spl3_135
| spl3_5
| spl3_3
| spl3_6
| ~ spl3_75
| ~ spl3_76
| ~ spl3_89 ),
inference(avatar_split_clause,[],[f13814,f679,f622,f618,f277,f262,f272,f2114]) ).
fof(f13814,plain,
( e2 = e3
| e0 = e3
| e1 = e3
| e3 = op(e2,e3)
| ~ spl3_75
| ~ spl3_76
| ~ spl3_89 ),
inference(forward_demodulation,[],[f13813,f623]) ).
fof(f13813,plain,
( e0 = e3
| e1 = e3
| e3 = op(e2,e3)
| e3 = op(e0,e3)
| ~ spl3_75
| ~ spl3_89 ),
inference(forward_demodulation,[],[f13812,f680]) ).
fof(f13833,plain,
( spl3_3
| spl3_5
| spl3_6
| ~ spl3_75
| ~ spl3_80
| ~ spl3_113
| ~ spl3_137 ),
inference(avatar_split_clause,[],[f13792,f3902,f830,f640,f618,f277,f272,f262]) ).
fof(f13792,plain,
( e2 = e3
| e1 = e3
| e0 = e3
| ~ spl3_75
| ~ spl3_80
| ~ spl3_113
| ~ spl3_137 ),
inference(forward_demodulation,[],[f13791,f832]) ).
fof(f13791,plain,
( e1 = e3
| e0 = e3
| e3 = op(e3,e0)
| ~ spl3_75
| ~ spl3_80
| ~ spl3_137 ),
inference(duplicate_literal_removal,[],[f13790]) ).
fof(f13790,plain,
( e1 = e3
| e1 = e3
| e0 = e3
| e3 = op(e3,e0)
| ~ spl3_75
| ~ spl3_80
| ~ spl3_137 ),
inference(forward_demodulation,[],[f13789,f3904]) ).
fof(f13789,plain,
( e1 = e3
| e0 = e3
| e3 = op(e3,e1)
| e3 = op(e3,e0)
| ~ spl3_75
| ~ spl3_80 ),
inference(forward_demodulation,[],[f8208,f619]) ).
fof(f8208,plain,
( e0 = e3
| e3 = op(e3,e3)
| e3 = op(e3,e1)
| e3 = op(e3,e0)
| ~ spl3_80 ),
inference(forward_demodulation,[],[f145,f641]) ).
fof(f13832,plain,
( ~ spl3_112
| spl3_12
| ~ spl3_113 ),
inference(avatar_split_clause,[],[f12005,f830,f307,f826]) ).
fof(f13788,plain,
( spl3_101
| ~ spl3_89
| ~ spl3_114
| ~ spl3_132 ),
inference(avatar_split_clause,[],[f10524,f1368,f844,f679,f731]) ).
fof(f10524,plain,
( e0 = op(e0,e0)
| ~ spl3_89
| ~ spl3_114
| ~ spl3_132 ),
inference(forward_demodulation,[],[f846,f9562]) ).
fof(f9562,plain,
( e0 = e3
| ~ spl3_89
| ~ spl3_132 ),
inference(superposition,[],[f680,f1370]) ).
fof(f13753,plain,
( spl3_93
| spl3_3
| spl3_2
| spl3_1
| ~ spl3_113
| ~ spl3_133
| ~ spl3_137 ),
inference(avatar_split_clause,[],[f13711,f3902,f1377,f830,f252,f257,f262,f696]) ).
fof(f13711,plain,
( e0 = e1
| e0 = e2
| e0 = e3
| e0 = op(e3,e3)
| ~ spl3_113
| ~ spl3_133
| ~ spl3_137 ),
inference(forward_demodulation,[],[f12020,f3904]) ).
fof(f13748,plain,
( spl3_128
| ~ spl3_64
| ~ spl3_137 ),
inference(avatar_split_clause,[],[f10337,f3902,f564,f1190]) ).
fof(f10337,plain,
( e1 = op(e1,e1)
| ~ spl3_64
| ~ spl3_137 ),
inference(superposition,[],[f566,f3904]) ).
fof(f13690,plain,
( spl3_4
| ~ spl3_66
| ~ spl3_75
| ~ spl3_87 ),
inference(avatar_split_clause,[],[f13627,f670,f618,f574,f267]) ).
fof(f13627,plain,
( e1 = e2
| ~ spl3_66
| ~ spl3_75
| ~ spl3_87 ),
inference(forward_demodulation,[],[f13593,f619]) ).
fof(f13626,plain,
( spl3_4
| ~ spl3_64
| ~ spl3_66
| ~ spl3_87
| ~ spl3_119 ),
inference(avatar_split_clause,[],[f13591,f898,f670,f574,f564,f267]) ).
fof(f13591,plain,
( e1 = e2
| ~ spl3_64
| ~ spl3_66
| ~ spl3_87
| ~ spl3_119 ),
inference(forward_demodulation,[],[f12468,f12875]) ).
fof(f12875,plain,
( e1 = op(e3,e3)
| ~ spl3_64
| ~ spl3_119 ),
inference(forward_demodulation,[],[f566,f900]) ).
fof(f12468,plain,
( e2 = op(e3,e3)
| ~ spl3_66
| ~ spl3_87 ),
inference(superposition,[],[f576,f671]) ).
fof(f13624,plain,
( ~ spl3_111
| ~ spl3_83
| ~ spl3_87 ),
inference(avatar_split_clause,[],[f13525,f670,f653,f809]) ).
fof(f13525,plain,
( e1 != op(e2,e3)
| ~ spl3_83
| ~ spl3_87 ),
inference(trivial_inequality_removal,[],[f13524]) ).
fof(f13524,plain,
( e3 != e3
| e1 != op(e2,e3)
| ~ spl3_83
| ~ spl3_87 ),
inference(forward_demodulation,[],[f13274,f671]) ).
fof(f13274,plain,
( e3 != op(e2,e2)
| e1 != op(e2,e3)
| ~ spl3_83 ),
inference(trivial_inequality_removal,[],[f13273]) ).
fof(f13273,plain,
( e0 != e0
| e3 != op(e2,e2)
| e1 != op(e2,e3)
| ~ spl3_83 ),
inference(forward_demodulation,[],[f224,f654]) ).
fof(f224,plain,
( e0 != op(e1,e2)
| e3 != op(e2,e2)
| e1 != op(e2,e3) ),
inference(inner_rewriting,[],[f223]) ).
fof(f223,plain,
( e0 != op(op(e2,e3),e2)
| e3 != op(e2,e2)
| e1 != op(e2,e3) ),
inference(inner_rewriting,[],[f189]) ).
fof(f189,plain,
( e0 != op(op(e2,op(e2,e2)),e2)
| e3 != op(e2,e2)
| e1 != op(e2,op(e2,e2)) ),
inference(cnf_transformation,[],[f40]) ).
fof(f40,plain,
( e0 != op(op(e2,op(e2,e2)),e2)
| e3 != op(e2,e2)
| e1 != op(e2,op(e2,e2)) ),
inference(ennf_transformation,[],[f16]) ).
fof(f16,axiom,
~ ( e0 = op(op(e2,op(e2,e2)),e2)
& e3 = op(e2,e2)
& e1 = op(e2,op(e2,e2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax16) ).
fof(f13614,plain,
( spl3_75
| ~ spl3_64
| ~ spl3_119 ),
inference(avatar_split_clause,[],[f12875,f898,f564,f618]) ).
fof(f13548,plain,
( spl3_105
| ~ spl3_63
| ~ spl3_102 ),
inference(avatar_split_clause,[],[f12762,f735,f559,f749]) ).
fof(f12762,plain,
( op(e0,e0) = e1
| ~ spl3_63
| ~ spl3_102 ),
inference(forward_demodulation,[],[f561,f737]) ).
fof(f13519,plain,
( spl3_87
| ~ spl3_71
| ~ spl3_76 ),
inference(avatar_split_clause,[],[f10047,f622,f599,f670]) ).
fof(f10047,plain,
( e3 = op(e2,e2)
| ~ spl3_71
| ~ spl3_76 ),
inference(forward_demodulation,[],[f601,f623]) ).
fof(f13445,plain,
( spl3_4
| ~ spl3_63
| ~ spl3_66
| ~ spl3_96
| ~ spl3_102 ),
inference(avatar_split_clause,[],[f13359,f735,f709,f574,f559,f267]) ).
fof(f13359,plain,
( e1 = e2
| ~ spl3_63
| ~ spl3_66
| ~ spl3_96
| ~ spl3_102 ),
inference(forward_demodulation,[],[f1128,f12762]) ).
fof(f13285,plain,
( spl3_6
| ~ spl3_87
| ~ spl3_126 ),
inference(avatar_split_clause,[],[f13188,f1164,f670,f277]) ).
fof(f13188,plain,
( e2 = e3
| ~ spl3_87
| ~ spl3_126 ),
inference(forward_demodulation,[],[f671,f1166]) ).
fof(f13181,plain,
( spl3_1
| ~ spl3_63
| ~ spl3_72
| ~ spl3_89
| ~ spl3_102
| ~ spl3_114
| ~ spl3_132 ),
inference(avatar_split_clause,[],[f13115,f1368,f844,f735,f679,f604,f559,f252]) ).
fof(f13115,plain,
( e0 = e1
| ~ spl3_63
| ~ spl3_72
| ~ spl3_89
| ~ spl3_102
| ~ spl3_114
| ~ spl3_132 ),
inference(forward_demodulation,[],[f12762,f12179]) ).
fof(f12179,plain,
( e0 = op(e0,e0)
| ~ spl3_72
| ~ spl3_89
| ~ spl3_114
| ~ spl3_132 ),
inference(forward_demodulation,[],[f12178,f9562]) ).
fof(f12178,plain,
( e0 = op(e3,e3)
| ~ spl3_72
| ~ spl3_89
| ~ spl3_114
| ~ spl3_132 ),
inference(forward_demodulation,[],[f12177,f846]) ).
fof(f12177,plain,
( e0 = op(op(e0,e0),op(e0,e0))
| ~ spl3_72
| ~ spl3_89
| ~ spl3_132 ),
inference(forward_demodulation,[],[f606,f9562]) ).
fof(f13085,plain,
( spl3_1
| ~ spl3_74
| ~ spl3_137 ),
inference(avatar_split_clause,[],[f13010,f3902,f614,f252]) ).
fof(f13010,plain,
( e0 = e1
| ~ spl3_74
| ~ spl3_137 ),
inference(forward_demodulation,[],[f3904,f615]) ).
fof(f12964,plain,
( ~ spl3_74
| ~ spl3_84
| ~ spl3_97 ),
inference(avatar_split_clause,[],[f12879,f713,f657,f614]) ).
fof(f12879,plain,
( e0 != op(e3,e1)
| ~ spl3_84
| ~ spl3_97 ),
inference(trivial_inequality_removal,[],[f12878]) ).
fof(f12878,plain,
( e3 != e3
| e0 != op(e3,e1)
| ~ spl3_84
| ~ spl3_97 ),
inference(forward_demodulation,[],[f9067,f714]) ).
fof(f9067,plain,
( e0 != op(e3,e1)
| e3 != op(e1,e2)
| ~ spl3_84 ),
inference(trivial_inequality_removal,[],[f9066]) ).
fof(f9066,plain,
( e2 != e2
| e0 != op(e3,e1)
| e3 != op(e1,e2)
| ~ spl3_84 ),
inference(forward_demodulation,[],[f222,f658]) ).
fof(f222,plain,
( e0 != op(e3,e1)
| e2 != op(e1,e1)
| e3 != op(e1,e2) ),
inference(inner_rewriting,[],[f221]) ).
fof(f221,plain,
( e0 != op(op(e1,e2),e1)
| e2 != op(e1,e1)
| e3 != op(e1,e2) ),
inference(inner_rewriting,[],[f188]) ).
fof(f188,plain,
( e0 != op(op(e1,op(e1,e1)),e1)
| e2 != op(e1,e1)
| e3 != op(e1,op(e1,e1)) ),
inference(cnf_transformation,[],[f39]) ).
fof(f39,plain,
( e0 != op(op(e1,op(e1,e1)),e1)
| e2 != op(e1,e1)
| e3 != op(e1,op(e1,e1)) ),
inference(ennf_transformation,[],[f28]) ).
fof(f28,axiom,
~ ( e0 = op(op(e1,op(e1,e1)),e1)
& e2 = op(e1,e1)
& e3 = op(e1,op(e1,e1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax28) ).
fof(f12949,plain,
( spl3_93
| ~ spl3_60
| ~ spl3_114 ),
inference(avatar_split_clause,[],[f12753,f844,f544,f696]) ).
fof(f12877,plain,
( spl3_4
| ~ spl3_88
| ~ spl3_109 ),
inference(avatar_split_clause,[],[f6186,f780,f674,f267]) ).
fof(f6186,plain,
( e1 = e2
| ~ spl3_88
| ~ spl3_109 ),
inference(forward_demodulation,[],[f782,f675]) ).
fof(f12821,plain,
( spl3_6
| ~ spl3_71
| ~ spl3_82
| ~ spl3_84 ),
inference(avatar_split_clause,[],[f12748,f657,f648,f599,f277]) ).
fof(f12748,plain,
( e2 = e3
| ~ spl3_71
| ~ spl3_82
| ~ spl3_84 ),
inference(forward_demodulation,[],[f12747,f658]) ).
fof(f12755,plain,
( spl3_2
| ~ spl3_67
| ~ spl3_96
| ~ spl3_109 ),
inference(avatar_split_clause,[],[f12696,f780,f709,f579,f257]) ).
fof(f12696,plain,
( e0 = e2
| ~ spl3_67
| ~ spl3_96
| ~ spl3_109 ),
inference(forward_demodulation,[],[f12695,f710]) ).
fof(f12697,plain,
( spl3_2
| ~ spl3_96
| ~ spl3_126 ),
inference(avatar_split_clause,[],[f12676,f1164,f709,f257]) ).
fof(f12676,plain,
( e0 = e2
| ~ spl3_96
| ~ spl3_126 ),
inference(forward_demodulation,[],[f1166,f710]) ).
fof(f12667,plain,
( spl3_3
| spl3_5
| spl3_6
| ~ spl3_93
| ~ spl3_113
| ~ spl3_134
| ~ spl3_137 ),
inference(avatar_split_clause,[],[f12607,f3902,f1835,f830,f696,f277,f272,f262]) ).
fof(f12607,plain,
( e2 = e3
| e1 = e3
| e0 = e3
| ~ spl3_93
| ~ spl3_113
| ~ spl3_134
| ~ spl3_137 ),
inference(forward_demodulation,[],[f12606,f832]) ).
fof(f12606,plain,
( e1 = e3
| e0 = e3
| e3 = op(e3,e0)
| ~ spl3_93
| ~ spl3_134
| ~ spl3_137 ),
inference(duplicate_literal_removal,[],[f12605]) ).
fof(f12605,plain,
( e1 = e3
| e1 = e3
| e0 = e3
| e3 = op(e3,e0)
| ~ spl3_93
| ~ spl3_134
| ~ spl3_137 ),
inference(forward_demodulation,[],[f10748,f1836]) ).
fof(f10748,plain,
( e1 = e3
| e0 = e3
| e3 = op(e3,e2)
| e3 = op(e3,e0)
| ~ spl3_93
| ~ spl3_137 ),
inference(forward_demodulation,[],[f10747,f3904]) ).
fof(f10747,plain,
( e0 = e3
| e3 = op(e3,e2)
| e3 = op(e3,e1)
| e3 = op(e3,e0)
| ~ spl3_93 ),
inference(forward_demodulation,[],[f145,f697]) ).
fof(f12584,plain,
( spl3_93
| spl3_1
| spl3_2
| ~ spl3_113
| ~ spl3_134
| ~ spl3_137 ),
inference(avatar_split_clause,[],[f12573,f3902,f1835,f830,f257,f252,f696]) ).
fof(f12573,plain,
( e0 = e2
| e0 = e1
| e0 = op(e3,e3)
| ~ spl3_113
| ~ spl3_134
| ~ spl3_137 ),
inference(forward_demodulation,[],[f12274,f832]) ).
fof(f12274,plain,
( e0 = e1
| e0 = op(e3,e3)
| e0 = op(e3,e0)
| ~ spl3_134
| ~ spl3_137 ),
inference(duplicate_literal_removal,[],[f12273]) ).
fof(f12273,plain,
( e0 = e1
| e0 = e1
| e0 = op(e3,e3)
| e0 = op(e3,e0)
| ~ spl3_134
| ~ spl3_137 ),
inference(forward_demodulation,[],[f11084,f1836]) ).
fof(f11084,plain,
( e0 = e1
| e0 = op(e3,e3)
| e0 = op(e3,e2)
| e0 = op(e3,e0)
| ~ spl3_137 ),
inference(forward_demodulation,[],[f139,f3904]) ).
fof(f12571,plain,
( spl3_134
| spl3_4
| spl3_1
| spl3_5
| ~ spl3_96
| ~ spl3_97
| ~ spl3_109 ),
inference(avatar_split_clause,[],[f12510,f780,f713,f709,f272,f252,f267,f1835]) ).
fof(f12510,plain,
( e1 = e3
| e0 = e1
| e1 = e2
| e1 = op(e3,e2)
| ~ spl3_96
| ~ spl3_97
| ~ spl3_109 ),
inference(forward_demodulation,[],[f12288,f714]) ).
fof(f12288,plain,
( e0 = e1
| e1 = e2
| e1 = op(e3,e2)
| e1 = op(e1,e2)
| ~ spl3_96
| ~ spl3_109 ),
inference(forward_demodulation,[],[f12142,f710]) ).
fof(f12547,plain,
( spl3_119
| spl3_3
| spl3_6
| spl3_5
| ~ spl3_84
| ~ spl3_102
| ~ spl3_127 ),
inference(avatar_split_clause,[],[f12438,f1177,f735,f657,f272,f277,f262,f898]) ).
fof(f12438,plain,
( e1 = e3
| e2 = e3
| e0 = e3
| e3 = op(e3,e1)
| ~ spl3_84
| ~ spl3_102
| ~ spl3_127 ),
inference(forward_demodulation,[],[f12043,f1179]) ).
fof(f12043,plain,
( e2 = e3
| e0 = e3
| e3 = op(e3,e1)
| e3 = op(e2,e1)
| ~ spl3_84
| ~ spl3_102 ),
inference(forward_demodulation,[],[f902,f658]) ).
fof(f12540,plain,
( spl3_96
| ~ spl3_61
| ~ spl3_113 ),
inference(avatar_split_clause,[],[f7324,f830,f549,f709]) ).
fof(f7324,plain,
( e0 = op(e2,e2)
| ~ spl3_61
| ~ spl3_113 ),
inference(forward_demodulation,[],[f551,f832]) ).
fof(f12501,plain,
( spl3_107
| ~ spl3_95
| ~ spl3_112 ),
inference(avatar_split_clause,[],[f12491,f826,f705,f766]) ).
fof(f12491,plain,
( e1 = op(e1,e0)
| ~ spl3_95
| ~ spl3_112 ),
inference(forward_demodulation,[],[f706,f3260]) ).
fof(f12473,plain,
( spl3_121
| spl3_3
| spl3_1
| spl3_2
| ~ spl3_107
| ~ spl3_112
| ~ spl3_114 ),
inference(avatar_split_clause,[],[f12187,f844,f826,f766,f257,f252,f262,f948]) ).
fof(f12187,plain,
( e0 = e2
| e0 = e1
| e0 = e3
| e0 = op(e3,e0)
| ~ spl3_107
| ~ spl3_112
| ~ spl3_114 ),
inference(forward_demodulation,[],[f9914,f828]) ).
fof(f9914,plain,
( e0 = e1
| e0 = e3
| e0 = op(e3,e0)
| e0 = op(e2,e0)
| ~ spl3_107
| ~ spl3_114 ),
inference(forward_demodulation,[],[f955,f768]) ).
fof(f955,plain,
( e0 = e3
| e0 = op(e3,e0)
| e0 = op(e2,e0)
| e0 = op(e1,e0)
| ~ spl3_114 ),
inference(forward_demodulation,[],[f116,f846]) ).
fof(f12471,plain,
( ~ spl3_78
| spl3_65
| ~ spl3_84 ),
inference(avatar_split_clause,[],[f12181,f657,f569,f631]) ).
fof(f12181,plain,
( e1 != op(e2,e2)
| spl3_65
| ~ spl3_84 ),
inference(forward_demodulation,[],[f570,f658]) ).
fof(f12462,plain,
( spl3_87
| ~ spl3_72
| ~ spl3_81 ),
inference(avatar_split_clause,[],[f2006,f644,f604,f670]) ).
fof(f2006,plain,
( e3 = op(e2,e2)
| ~ spl3_72
| ~ spl3_81 ),
inference(forward_demodulation,[],[f606,f645]) ).
fof(f12433,plain,
( spl3_3
| spl3_6
| spl3_5
| ~ spl3_84
| ~ spl3_102
| ~ spl3_127
| ~ spl3_131 ),
inference(avatar_split_clause,[],[f12391,f1271,f1177,f735,f657,f272,f277,f262]) ).
fof(f12391,plain,
( e1 = e3
| e2 = e3
| e0 = e3
| ~ spl3_84
| ~ spl3_102
| ~ spl3_127
| ~ spl3_131 ),
inference(forward_demodulation,[],[f12331,f1179]) ).
fof(f12331,plain,
( e2 = e3
| e0 = e3
| e3 = op(e2,e1)
| ~ spl3_84
| ~ spl3_102
| ~ spl3_131 ),
inference(duplicate_literal_removal,[],[f11910]) ).
fof(f11910,plain,
( e2 = e3
| e2 = e3
| e0 = e3
| e3 = op(e2,e1)
| ~ spl3_84
| ~ spl3_102
| ~ spl3_131 ),
inference(forward_demodulation,[],[f6052,f658]) ).
fof(f6052,plain,
( e2 = e3
| e0 = e3
| e3 = op(e2,e1)
| e3 = op(e1,e1)
| ~ spl3_102
| ~ spl3_131 ),
inference(forward_demodulation,[],[f902,f1273]) ).
fof(f12383,plain,
( spl3_113
| ~ spl3_64
| ~ spl3_96
| ~ spl3_131 ),
inference(avatar_split_clause,[],[f12359,f1271,f709,f564,f830]) ).
fof(f12359,plain,
( e2 = op(e3,e0)
| ~ spl3_64
| ~ spl3_96
| ~ spl3_131 ),
inference(forward_demodulation,[],[f1273,f12341]) ).
fof(f12341,plain,
( e0 = e1
| ~ spl3_64
| ~ spl3_96
| ~ spl3_131 ),
inference(forward_demodulation,[],[f11946,f710]) ).
fof(f12330,plain,
( spl3_121
| ~ spl3_68
| ~ spl3_96
| ~ spl3_124 ),
inference(avatar_split_clause,[],[f12322,f1114,f709,f584,f948]) ).
fof(f12322,plain,
( e0 = op(e3,e0)
| ~ spl3_68
| ~ spl3_96
| ~ spl3_124 ),
inference(forward_demodulation,[],[f1116,f12321]) ).
fof(f12321,plain,
( e0 = e2
| ~ spl3_68
| ~ spl3_96
| ~ spl3_124 ),
inference(forward_demodulation,[],[f1464,f710]) ).
fof(f12312,plain,
( spl3_3
| ~ spl3_72
| ~ spl3_81
| ~ spl3_96 ),
inference(avatar_split_clause,[],[f12310,f709,f644,f604,f262]) ).
fof(f12310,plain,
( e0 = e3
| ~ spl3_72
| ~ spl3_81
| ~ spl3_96 ),
inference(forward_demodulation,[],[f2006,f710]) ).
fof(f12275,plain,
( spl3_4
| ~ spl3_131
| ~ spl3_137 ),
inference(avatar_split_clause,[],[f10939,f3902,f1271,f267]) ).
fof(f10939,plain,
( e1 = e2
| ~ spl3_131
| ~ spl3_137 ),
inference(forward_demodulation,[],[f1273,f3904]) ).
fof(f12272,plain,
( spl3_137
| spl3_5
| spl3_4
| spl3_1
| ~ spl3_84
| ~ spl3_100
| ~ spl3_102 ),
inference(avatar_split_clause,[],[f12044,f735,f726,f657,f252,f267,f272,f3902]) ).
fof(f12044,plain,
( e0 = e1
| e1 = e2
| e1 = e3
| e1 = op(e3,e1)
| ~ spl3_84
| ~ spl3_100
| ~ spl3_102 ),
inference(forward_demodulation,[],[f11914,f737]) ).
fof(f11914,plain,
( e1 = e2
| e1 = e3
| e1 = op(e3,e1)
| e1 = op(e0,e1)
| ~ spl3_84
| ~ spl3_100 ),
inference(forward_demodulation,[],[f4346,f658]) ).
fof(f4346,plain,
( e1 = e3
| e1 = op(e3,e1)
| e1 = op(e1,e1)
| e1 = op(e0,e1)
| ~ spl3_100 ),
inference(forward_demodulation,[],[f126,f727]) ).
fof(f12271,plain,
( spl3_81
| spl3_2
| spl3_4
| ~ spl3_82
| ~ spl3_86
| ~ spl3_89 ),
inference(avatar_split_clause,[],[f12196,f679,f666,f648,f267,f257,f644]) ).
fof(f12196,plain,
( e1 = e2
| e0 = e2
| e2 = op(e3,e3)
| ~ spl3_82
| ~ spl3_86
| ~ spl3_89 ),
inference(forward_demodulation,[],[f12195,f649]) ).
fof(f12195,plain,
( e0 = e2
| e2 = op(e3,e3)
| e2 = op(e0,e3)
| ~ spl3_86
| ~ spl3_89 ),
inference(duplicate_literal_removal,[],[f12194]) ).
fof(f12194,plain,
( e0 = e2
| e0 = e2
| e2 = op(e3,e3)
| e2 = op(e0,e3)
| ~ spl3_86
| ~ spl3_89 ),
inference(forward_demodulation,[],[f6380,f680]) ).
fof(f6380,plain,
( e0 = e2
| e2 = op(e3,e3)
| e2 = op(e1,e3)
| e2 = op(e0,e3)
| ~ spl3_86 ),
inference(forward_demodulation,[],[f144,f667]) ).
fof(f12255,plain,
( spl3_136
| spl3_3
| spl3_5
| ~ spl3_82
| ~ spl3_86
| ~ spl3_89 ),
inference(avatar_split_clause,[],[f12169,f679,f666,f648,f272,f262,f2462]) ).
fof(f12169,plain,
( e1 = e3
| e0 = e3
| e3 = op(e3,e3)
| ~ spl3_82
| ~ spl3_86
| ~ spl3_89 ),
inference(forward_demodulation,[],[f12168,f649]) ).
fof(f12168,plain,
( e0 = e3
| e3 = op(e3,e3)
| e3 = op(e0,e3)
| ~ spl3_86
| ~ spl3_89 ),
inference(duplicate_literal_removal,[],[f12167]) ).
fof(f12167,plain,
( e0 = e3
| e0 = e3
| e3 = op(e3,e3)
| e3 = op(e0,e3)
| ~ spl3_86
| ~ spl3_89 ),
inference(forward_demodulation,[],[f10914,f667]) ).
fof(f10914,plain,
( e0 = e3
| e3 = op(e3,e3)
| e3 = op(e2,e3)
| e3 = op(e0,e3)
| ~ spl3_89 ),
inference(forward_demodulation,[],[f146,f680]) ).
fof(f12253,plain,
( ~ spl3_75
| ~ spl3_86
| ~ spl3_131 ),
inference(avatar_split_clause,[],[f12152,f1271,f666,f618]) ).
fof(f12152,plain,
( e1 != op(e3,e3)
| ~ spl3_86
| ~ spl3_131 ),
inference(trivial_inequality_removal,[],[f12151]) ).
fof(f12151,plain,
( e0 != e0
| e1 != op(e3,e3)
| ~ spl3_86
| ~ spl3_131 ),
inference(forward_demodulation,[],[f11839,f667]) ).
fof(f11839,plain,
( e0 != op(e2,e3)
| e1 != op(e3,e3)
| ~ spl3_131 ),
inference(trivial_inequality_removal,[],[f8725]) ).
fof(f8725,plain,
( e2 != e2
| e0 != op(e2,e3)
| e1 != op(e3,e3)
| ~ spl3_131 ),
inference(forward_demodulation,[],[f232,f1273]) ).
fof(f232,plain,
( e0 != op(e2,e3)
| e1 != op(e3,e3)
| e2 != op(e3,e1) ),
inference(inner_rewriting,[],[f231]) ).
fof(f231,plain,
( e0 != op(op(e3,e1),e3)
| e1 != op(e3,e3)
| e2 != op(e3,e1) ),
inference(inner_rewriting,[],[f193]) ).
fof(f193,plain,
( e0 != op(op(e3,op(e3,e3)),e3)
| e1 != op(e3,e3)
| e2 != op(e3,op(e3,e3)) ),
inference(cnf_transformation,[],[f44]) ).
fof(f44,plain,
( e0 != op(op(e3,op(e3,e3)),e3)
| e1 != op(e3,e3)
| e2 != op(e3,op(e3,e3)) ),
inference(ennf_transformation,[],[f20]) ).
fof(f20,axiom,
~ ( e0 = op(op(e3,op(e3,e3)),e3)
& e1 = op(e3,e3)
& e2 = op(e3,op(e3,e3)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax20) ).
fof(f12247,plain,
( spl3_96
| ~ spl3_56
| ~ spl3_112 ),
inference(avatar_split_clause,[],[f11747,f826,f526,f709]) ).
fof(f12186,plain,
( spl3_1
| ~ spl3_70
| ~ spl3_82
| ~ spl3_86
| ~ spl3_89
| ~ spl3_132 ),
inference(avatar_split_clause,[],[f12171,f1368,f679,f666,f648,f594,f252]) ).
fof(f12171,plain,
( e0 = e1
| ~ spl3_70
| ~ spl3_82
| ~ spl3_86
| ~ spl3_89
| ~ spl3_132 ),
inference(forward_demodulation,[],[f10564,f10541]) ).
fof(f10541,plain,
( e0 = op(e0,e0)
| ~ spl3_70
| ~ spl3_86
| ~ spl3_89
| ~ spl3_132 ),
inference(forward_demodulation,[],[f8906,f9562]) ).
fof(f8906,plain,
( op(e0,e0) = e3
| ~ spl3_70
| ~ spl3_86 ),
inference(forward_demodulation,[],[f596,f667]) ).
fof(f10564,plain,
( op(e0,e0) = e1
| ~ spl3_82
| ~ spl3_89
| ~ spl3_132 ),
inference(forward_demodulation,[],[f649,f9562]) ).
fof(f12121,plain,
( spl3_94
| spl3_2
| spl3_4
| ~ spl3_62
| ~ spl3_82
| ~ spl3_86
| ~ spl3_100 ),
inference(avatar_split_clause,[],[f12054,f726,f666,f648,f554,f267,f257,f700]) ).
fof(f12054,plain,
( e1 = e2
| e0 = e2
| e2 = op(e1,e3)
| ~ spl3_62
| ~ spl3_82
| ~ spl3_86
| ~ spl3_100 ),
inference(duplicate_literal_removal,[],[f12053]) ).
fof(f12053,plain,
( e1 = e2
| e1 = e2
| e0 = e2
| e2 = op(e1,e3)
| ~ spl3_62
| ~ spl3_82
| ~ spl3_86
| ~ spl3_100 ),
inference(forward_demodulation,[],[f2046,f8557]) ).
fof(f2046,plain,
( e1 = e2
| e0 = e2
| e2 = op(e3,e3)
| e2 = op(e1,e3)
| ~ spl3_82
| ~ spl3_86 ),
inference(forward_demodulation,[],[f2045,f649]) ).
fof(f2045,plain,
( e0 = e2
| e2 = op(e3,e3)
| e2 = op(e1,e3)
| e2 = op(e0,e3)
| ~ spl3_86 ),
inference(forward_demodulation,[],[f144,f667]) ).
fof(f12013,plain,
( spl3_1
| ~ spl3_101
| ~ spl3_105 ),
inference(avatar_split_clause,[],[f10341,f749,f731,f252]) ).
fof(f10341,plain,
( e0 = e1
| ~ spl3_101
| ~ spl3_105 ),
inference(superposition,[],[f733,f751]) ).
fof(f11974,plain,
( spl3_109
| spl3_6
| spl3_4
| ~ spl3_78
| ~ spl3_97
| ~ spl3_134 ),
inference(avatar_split_clause,[],[f11694,f1835,f713,f631,f267,f277,f780]) ).
fof(f11694,plain,
( e1 = e2
| e2 = e3
| e2 = op(e0,e2)
| ~ spl3_78
| ~ spl3_97
| ~ spl3_134 ),
inference(duplicate_literal_removal,[],[f11693]) ).
fof(f11693,plain,
( e1 = e2
| e2 = e3
| e1 = e2
| e2 = op(e0,e2)
| ~ spl3_78
| ~ spl3_97
| ~ spl3_134 ),
inference(forward_demodulation,[],[f8550,f1836]) ).
fof(f8550,plain,
( e2 = e3
| e1 = e2
| e2 = op(e3,e2)
| e2 = op(e0,e2)
| ~ spl3_78
| ~ spl3_97 ),
inference(forward_demodulation,[],[f8549,f714]) ).
fof(f11961,plain,
( spl3_2
| spl3_6
| spl3_4
| ~ spl3_65
| ~ spl3_79
| ~ spl3_83
| ~ spl3_84
| ~ spl3_134 ),
inference(avatar_split_clause,[],[f11901,f1835,f657,f653,f635,f569,f267,f277,f257]) ).
fof(f11901,plain,
( e1 = e2
| e2 = e3
| e0 = e2
| ~ spl3_65
| ~ spl3_79
| ~ spl3_83
| ~ spl3_84
| ~ spl3_134 ),
inference(duplicate_literal_removal,[],[f11900]) ).
fof(f11900,plain,
( e1 = e2
| e2 = e3
| e0 = e2
| e1 = e2
| ~ spl3_65
| ~ spl3_79
| ~ spl3_83
| ~ spl3_84
| ~ spl3_134 ),
inference(forward_demodulation,[],[f8616,f1836]) ).
fof(f8616,plain,
( e2 = e3
| e0 = e2
| e1 = e2
| e2 = op(e3,e2)
| ~ spl3_65
| ~ spl3_79
| ~ spl3_83
| ~ spl3_84 ),
inference(forward_demodulation,[],[f6739,f636]) ).
fof(f6739,plain,
( e0 = e2
| e1 = e2
| e2 = op(e3,e2)
| e2 = op(e0,e2)
| ~ spl3_65
| ~ spl3_83
| ~ spl3_84 ),
inference(forward_demodulation,[],[f3769,f654]) ).
fof(f3769,plain,
( e1 = e2
| e2 = op(e3,e2)
| e2 = op(e1,e2)
| e2 = op(e0,e2)
| ~ spl3_65
| ~ spl3_84 ),
inference(forward_demodulation,[],[f136,f3701]) ).
fof(f3701,plain,
( e1 = op(e2,e2)
| ~ spl3_65
| ~ spl3_84 ),
inference(forward_demodulation,[],[f571,f658]) ).
fof(f11895,plain,
( spl3_3
| ~ spl3_79
| ~ spl3_83
| ~ spl3_101
| ~ spl3_105 ),
inference(avatar_split_clause,[],[f11888,f749,f731,f653,f635,f262]) ).
fof(f11888,plain,
( e0 = e3
| ~ spl3_79
| ~ spl3_83
| ~ spl3_101
| ~ spl3_105 ),
inference(forward_demodulation,[],[f636,f11876]) ).
fof(f11876,plain,
( e0 = op(e0,e2)
| ~ spl3_83
| ~ spl3_101
| ~ spl3_105 ),
inference(forward_demodulation,[],[f654,f10341]) ).
fof(f11817,plain,
( spl3_96
| ~ spl3_56
| ~ spl3_112 ),
inference(avatar_split_clause,[],[f11747,f826,f526,f709]) ).
fof(f11749,plain,
( spl3_4
| ~ spl3_124
| ~ spl3_134 ),
inference(avatar_split_clause,[],[f11731,f1835,f1114,f267]) ).
fof(f11731,plain,
( e1 = e2
| ~ spl3_124
| ~ spl3_134 ),
inference(forward_demodulation,[],[f1116,f1836]) ).
fof(f11691,plain,
( spl3_3
| ~ spl3_85
| ~ spl3_101
| ~ spl3_105 ),
inference(avatar_split_clause,[],[f11569,f749,f731,f661,f262]) ).
fof(f11569,plain,
( e0 = e3
| ~ spl3_85
| ~ spl3_101
| ~ spl3_105 ),
inference(forward_demodulation,[],[f11568,f10341]) ).
fof(f11568,plain,
( e1 = e3
| ~ spl3_85
| ~ spl3_101
| ~ spl3_105 ),
inference(forward_demodulation,[],[f11516,f751]) ).
fof(f11516,plain,
( op(e0,e0) = e3
| ~ spl3_85
| ~ spl3_101
| ~ spl3_105 ),
inference(forward_demodulation,[],[f662,f10341]) ).
fof(f11545,plain,
( spl3_6
| ~ spl3_100
| ~ spl3_101
| ~ spl3_105
| ~ spl3_112 ),
inference(avatar_split_clause,[],[f11384,f826,f749,f731,f726,f277]) ).
fof(f11384,plain,
( e2 = e3
| ~ spl3_100
| ~ spl3_101
| ~ spl3_105
| ~ spl3_112 ),
inference(forward_demodulation,[],[f11383,f828]) ).
fof(f11383,plain,
( e3 = op(e2,e0)
| ~ spl3_100
| ~ spl3_101
| ~ spl3_105 ),
inference(forward_demodulation,[],[f727,f10341]) ).
fof(f11336,plain,
( spl3_119
| spl3_6
| spl3_3
| ~ spl3_77
| ~ spl3_84
| ~ spl3_102 ),
inference(avatar_split_clause,[],[f11318,f735,f657,f627,f262,f277,f898]) ).
fof(f11318,plain,
( e0 = e3
| e2 = e3
| e3 = op(e3,e1)
| ~ spl3_77
| ~ spl3_84
| ~ spl3_102 ),
inference(duplicate_literal_removal,[],[f11317]) ).
fof(f11317,plain,
( e0 = e3
| e0 = e3
| e2 = e3
| e3 = op(e3,e1)
| ~ spl3_77
| ~ spl3_84
| ~ spl3_102 ),
inference(forward_demodulation,[],[f4774,f737]) ).
fof(f4774,plain,
( e0 = e3
| e2 = e3
| e3 = op(e3,e1)
| e3 = op(e0,e1)
| ~ spl3_77
| ~ spl3_84 ),
inference(forward_demodulation,[],[f3658,f628]) ).
fof(f3658,plain,
( e2 = e3
| e3 = op(e3,e1)
| e3 = op(e2,e1)
| e3 = op(e0,e1)
| ~ spl3_84 ),
inference(forward_demodulation,[],[f130,f658]) ).
fof(f11316,plain,
( spl3_6
| spl3_5
| spl3_3
| ~ spl3_77
| ~ spl3_84
| ~ spl3_102
| ~ spl3_137 ),
inference(avatar_split_clause,[],[f11218,f3902,f735,f657,f627,f262,f272,f277]) ).
fof(f11218,plain,
( e0 = e3
| e1 = e3
| e2 = e3
| ~ spl3_77
| ~ spl3_84
| ~ spl3_102
| ~ spl3_137 ),
inference(duplicate_literal_removal,[],[f11217]) ).
fof(f11217,plain,
( e0 = e3
| e1 = e3
| e0 = e3
| e2 = e3
| ~ spl3_77
| ~ spl3_84
| ~ spl3_102
| ~ spl3_137 ),
inference(forward_demodulation,[],[f10445,f737]) ).
fof(f10445,plain,
( e1 = e3
| e0 = e3
| e2 = e3
| e3 = op(e0,e1)
| ~ spl3_77
| ~ spl3_84
| ~ spl3_137 ),
inference(forward_demodulation,[],[f4774,f3904]) ).
fof(f11308,plain,
( ~ spl3_115
| spl3_27
| ~ spl3_136 ),
inference(avatar_split_clause,[],[f2473,f2462,f382,f848]) ).
fof(f382,plain,
( spl3_27
<=> op(e0,e3) = op(e3,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_27])]) ).
fof(f2473,plain,
( e3 != op(e0,e3)
| spl3_27
| ~ spl3_136 ),
inference(superposition,[],[f384,f2464]) ).
fof(f384,plain,
( op(e0,e3) != op(e3,e3)
| spl3_27 ),
inference(avatar_component_clause,[],[f382]) ).
fof(f11244,plain,
( spl3_4
| ~ spl3_69
| ~ spl3_83
| ~ spl3_105 ),
inference(avatar_split_clause,[],[f11229,f749,f653,f589,f267]) ).
fof(f11229,plain,
( e1 = e2
| ~ spl3_69
| ~ spl3_83
| ~ spl3_105 ),
inference(forward_demodulation,[],[f4205,f751]) ).
fof(f4205,plain,
( op(e0,e0) = e2
| ~ spl3_69
| ~ spl3_83 ),
inference(superposition,[],[f591,f654]) ).
fof(f11200,plain,
( spl3_2
| ~ spl3_67
| ~ spl3_78
| ~ spl3_101
| ~ spl3_105
| ~ spl3_109 ),
inference(avatar_split_clause,[],[f11087,f780,f749,f731,f631,f579,f257]) ).
fof(f11087,plain,
( e0 = e2
| ~ spl3_67
| ~ spl3_78
| ~ spl3_101
| ~ spl3_105
| ~ spl3_109 ),
inference(forward_demodulation,[],[f11073,f10341]) ).
fof(f11073,plain,
( e1 = e2
| ~ spl3_67
| ~ spl3_78
| ~ spl3_109 ),
inference(forward_demodulation,[],[f11072,f632]) ).
fof(f11072,plain,
( e2 = op(e2,e2)
| ~ spl3_67
| ~ spl3_109 ),
inference(forward_demodulation,[],[f581,f782]) ).
fof(f11080,plain,
( spl3_2
| ~ spl3_89
| ~ spl3_101
| ~ spl3_115
| ~ spl3_117
| ~ spl3_132 ),
inference(avatar_split_clause,[],[f11034,f1368,f869,f848,f731,f679,f257]) ).
fof(f11034,plain,
( e0 = e2
| ~ spl3_89
| ~ spl3_101
| ~ spl3_115
| ~ spl3_117
| ~ spl3_132 ),
inference(duplicate_literal_removal,[],[f11033]) ).
fof(f11033,plain,
( e0 = e2
| e0 = e2
| ~ spl3_89
| ~ spl3_101
| ~ spl3_115
| ~ spl3_117
| ~ spl3_132 ),
inference(forward_demodulation,[],[f11032,f680]) ).
fof(f11032,plain,
( e0 = e2
| e2 = op(e1,e3)
| ~ spl3_89
| ~ spl3_101
| ~ spl3_115
| ~ spl3_117
| ~ spl3_132 ),
inference(duplicate_literal_removal,[],[f11031]) ).
fof(f11031,plain,
( e0 = e2
| e0 = e2
| e2 = op(e1,e3)
| ~ spl3_89
| ~ spl3_101
| ~ spl3_115
| ~ spl3_117
| ~ spl3_132 ),
inference(forward_demodulation,[],[f11030,f11019]) ).
fof(f11019,plain,
( e0 = op(e2,e0)
| ~ spl3_89
| ~ spl3_117
| ~ spl3_132 ),
inference(forward_demodulation,[],[f871,f9562]) ).
fof(f11030,plain,
( e2 = op(e2,e0)
| e0 = e2
| e2 = op(e1,e3)
| ~ spl3_89
| ~ spl3_101
| ~ spl3_115
| ~ spl3_132 ),
inference(forward_demodulation,[],[f11029,f9562]) ).
fof(f11029,plain,
( e0 = e2
| e2 = op(e2,e3)
| e2 = op(e1,e3)
| ~ spl3_89
| ~ spl3_101
| ~ spl3_115
| ~ spl3_132 ),
inference(duplicate_literal_removal,[],[f11028]) ).
fof(f11028,plain,
( e0 = e2
| e0 = e2
| e2 = op(e2,e3)
| e2 = op(e1,e3)
| ~ spl3_89
| ~ spl3_101
| ~ spl3_115
| ~ spl3_132 ),
inference(forward_demodulation,[],[f11027,f733]) ).
fof(f11027,plain,
( op(e0,e0) = e2
| e0 = e2
| e2 = op(e2,e3)
| e2 = op(e1,e3)
| ~ spl3_89
| ~ spl3_115
| ~ spl3_132 ),
inference(forward_demodulation,[],[f11026,f9562]) ).
fof(f11026,plain,
( e0 = e2
| e2 = op(e3,e3)
| e2 = op(e2,e3)
| e2 = op(e1,e3)
| ~ spl3_89
| ~ spl3_115
| ~ spl3_132 ),
inference(forward_demodulation,[],[f4592,f9562]) ).
fof(f4592,plain,
( e2 = e3
| e2 = op(e3,e3)
| e2 = op(e2,e3)
| e2 = op(e1,e3)
| ~ spl3_115 ),
inference(forward_demodulation,[],[f144,f850]) ).
fof(f10956,plain,
( spl3_1
| ~ spl3_80
| ~ spl3_134 ),
inference(avatar_split_clause,[],[f10931,f1835,f640,f252]) ).
fof(f10931,plain,
( e0 = e1
| ~ spl3_80
| ~ spl3_134 ),
inference(forward_demodulation,[],[f1836,f641]) ).
fof(f10890,plain,
( spl3_3
| spl3_5
| spl3_6
| ~ spl3_80
| ~ spl3_93
| ~ spl3_113
| ~ spl3_137 ),
inference(avatar_split_clause,[],[f10799,f3902,f830,f696,f640,f277,f272,f262]) ).
fof(f10799,plain,
( e2 = e3
| e1 = e3
| e0 = e3
| ~ spl3_80
| ~ spl3_93
| ~ spl3_113
| ~ spl3_137 ),
inference(forward_demodulation,[],[f10798,f832]) ).
fof(f10798,plain,
( e1 = e3
| e0 = e3
| e3 = op(e3,e0)
| ~ spl3_80
| ~ spl3_93
| ~ spl3_137 ),
inference(forward_demodulation,[],[f10710,f3904]) ).
fof(f10710,plain,
( e0 = e3
| e3 = op(e3,e1)
| e3 = op(e3,e0)
| ~ spl3_80
| ~ spl3_93 ),
inference(duplicate_literal_removal,[],[f6663]) ).
fof(f6663,plain,
( e0 = e3
| e0 = e3
| e3 = op(e3,e1)
| e3 = op(e3,e0)
| ~ spl3_80
| ~ spl3_93 ),
inference(forward_demodulation,[],[f5996,f697]) ).
fof(f5996,plain,
( e0 = e3
| e3 = op(e3,e3)
| e3 = op(e3,e1)
| e3 = op(e3,e0)
| ~ spl3_80 ),
inference(forward_demodulation,[],[f145,f641]) ).
fof(f10797,plain,
( spl3_1
| ~ spl3_82
| ~ spl3_89
| ~ spl3_101
| ~ spl3_132 ),
inference(avatar_split_clause,[],[f10778,f1368,f731,f679,f648,f252]) ).
fof(f10778,plain,
( e0 = e1
| ~ spl3_82
| ~ spl3_89
| ~ spl3_101
| ~ spl3_132 ),
inference(forward_demodulation,[],[f10564,f733]) ).
fof(f10709,plain,
( spl3_3
| spl3_5
| spl3_6
| ~ spl3_78
| ~ spl3_86
| ~ spl3_112
| ~ spl3_127 ),
inference(avatar_split_clause,[],[f10575,f1177,f826,f666,f631,f277,f272,f262]) ).
fof(f10575,plain,
( e2 = e3
| e1 = e3
| e0 = e3
| ~ spl3_78
| ~ spl3_86
| ~ spl3_112
| ~ spl3_127 ),
inference(forward_demodulation,[],[f10574,f828]) ).
fof(f10574,plain,
( e1 = e3
| e0 = e3
| e3 = op(e2,e0)
| ~ spl3_78
| ~ spl3_86
| ~ spl3_127 ),
inference(duplicate_literal_removal,[],[f10573]) ).
fof(f10573,plain,
( e1 = e3
| e1 = e3
| e0 = e3
| e3 = op(e2,e0)
| ~ spl3_78
| ~ spl3_86
| ~ spl3_127 ),
inference(forward_demodulation,[],[f10572,f1179]) ).
fof(f10572,plain,
( e1 = e3
| e0 = e3
| e3 = op(e2,e1)
| e3 = op(e2,e0)
| ~ spl3_78
| ~ spl3_86 ),
inference(forward_demodulation,[],[f1566,f632]) ).
fof(f10706,plain,
( spl3_114
| ~ spl3_70
| ~ spl3_86 ),
inference(avatar_split_clause,[],[f1607,f666,f594,f844]) ).
fof(f1607,plain,
( op(e0,e0) = e3
| ~ spl3_70
| ~ spl3_86 ),
inference(superposition,[],[f596,f667]) ).
fof(f10566,plain,
( spl3_1
| ~ spl3_86
| ~ spl3_89
| ~ spl3_93
| ~ spl3_114
| ~ spl3_132 ),
inference(avatar_split_clause,[],[f10548,f1368,f844,f696,f679,f666,f252]) ).
fof(f10548,plain,
( e0 = e1
| ~ spl3_86
| ~ spl3_89
| ~ spl3_93
| ~ spl3_114
| ~ spl3_132 ),
inference(duplicate_literal_removal,[],[f10547]) ).
fof(f10547,plain,
( e0 = e1
| e0 = e1
| ~ spl3_86
| ~ spl3_89
| ~ spl3_93
| ~ spl3_114
| ~ spl3_132 ),
inference(forward_demodulation,[],[f10546,f10524]) ).
fof(f10546,plain,
( op(e0,e0) = e1
| e0 = e1
| ~ spl3_86
| ~ spl3_89
| ~ spl3_93
| ~ spl3_132 ),
inference(forward_demodulation,[],[f10545,f9562]) ).
fof(f10545,plain,
( e0 = e1
| e1 = op(e0,e3)
| ~ spl3_86
| ~ spl3_89
| ~ spl3_93 ),
inference(duplicate_literal_removal,[],[f10544]) ).
fof(f10544,plain,
( e0 = e1
| e0 = e1
| e1 = op(e0,e3)
| ~ spl3_86
| ~ spl3_89
| ~ spl3_93 ),
inference(forward_demodulation,[],[f10543,f680]) ).
fof(f10543,plain,
( e0 = e1
| e1 = op(e1,e3)
| e1 = op(e0,e3)
| ~ spl3_86
| ~ spl3_93 ),
inference(duplicate_literal_removal,[],[f10542]) ).
fof(f10542,plain,
( e0 = e1
| e0 = e1
| e1 = op(e1,e3)
| e1 = op(e0,e3)
| ~ spl3_86
| ~ spl3_93 ),
inference(forward_demodulation,[],[f8859,f697]) ).
fof(f8859,plain,
( e0 = e1
| e1 = op(e3,e3)
| e1 = op(e1,e3)
| e1 = op(e0,e3)
| ~ spl3_86 ),
inference(forward_demodulation,[],[f142,f667]) ).
fof(f10473,plain,
( spl3_5
| spl3_3
| spl3_6
| ~ spl3_84
| ~ spl3_89
| ~ spl3_107
| ~ spl3_122 ),
inference(avatar_split_clause,[],[f10351,f1026,f766,f679,f657,f277,f262,f272]) ).
fof(f10351,plain,
( e2 = e3
| e0 = e3
| e1 = e3
| ~ spl3_84
| ~ spl3_89
| ~ spl3_107
| ~ spl3_122 ),
inference(duplicate_literal_removal,[],[f9591]) ).
fof(f9591,plain,
( e2 = e3
| e0 = e3
| e1 = e3
| e2 = e3
| ~ spl3_84
| ~ spl3_89
| ~ spl3_107
| ~ spl3_122 ),
inference(forward_demodulation,[],[f9590,f1028]) ).
fof(f9590,plain,
( e0 = e3
| e1 = e3
| e2 = e3
| e3 = op(e1,e2)
| ~ spl3_84
| ~ spl3_89
| ~ spl3_107 ),
inference(forward_demodulation,[],[f4443,f680]) ).
fof(f4443,plain,
( e1 = e3
| e2 = e3
| e3 = op(e1,e3)
| e3 = op(e1,e2)
| ~ spl3_84
| ~ spl3_107 ),
inference(forward_demodulation,[],[f1330,f768]) ).
fof(f10400,plain,
( ~ spl3_115
| ~ spl3_101
| ~ spl3_105
| spl3_132 ),
inference(avatar_split_clause,[],[f10371,f1368,f749,f731,f848]) ).
fof(f10371,plain,
( e3 != op(e0,e3)
| ~ spl3_101
| ~ spl3_105
| spl3_132 ),
inference(forward_demodulation,[],[f1369,f10341]) ).
fof(f1369,plain,
( e3 != op(e1,e3)
| spl3_132 ),
inference(avatar_component_clause,[],[f1368]) ).
fof(f10345,plain,
( spl3_123
| spl3_2
| spl3_6
| ~ spl3_56
| ~ spl3_115
| ~ spl3_117
| ~ spl3_132 ),
inference(avatar_split_clause,[],[f10226,f1368,f869,f848,f526,f277,f257,f1102]) ).
fof(f10226,plain,
( e2 = e3
| e0 = e2
| e2 = op(e2,e3)
| ~ spl3_56
| ~ spl3_115
| ~ spl3_117
| ~ spl3_132 ),
inference(duplicate_literal_removal,[],[f10225]) ).
fof(f10225,plain,
( e2 = e3
| e0 = e2
| e2 = e3
| e2 = op(e2,e3)
| ~ spl3_56
| ~ spl3_115
| ~ spl3_117
| ~ spl3_132 ),
inference(forward_demodulation,[],[f9798,f1370]) ).
fof(f9798,plain,
( e0 = e2
| e2 = e3
| e2 = op(e2,e3)
| e2 = op(e1,e3)
| ~ spl3_56
| ~ spl3_115
| ~ spl3_117 ),
inference(forward_demodulation,[],[f4592,f6473]) ).
fof(f6473,plain,
( e0 = op(e3,e3)
| ~ spl3_56
| ~ spl3_117 ),
inference(forward_demodulation,[],[f528,f871]) ).
fof(f10340,plain,
( spl3_119
| spl3_3
| spl3_6
| ~ spl3_84
| ~ spl3_102
| ~ spl3_130 ),
inference(avatar_split_clause,[],[f6155,f1267,f735,f657,f277,f262,f898]) ).
fof(f6155,plain,
( e2 = e3
| e0 = e3
| e3 = op(e3,e1)
| ~ spl3_84
| ~ spl3_102
| ~ spl3_130 ),
inference(duplicate_literal_removal,[],[f6154]) ).
fof(f6154,plain,
( e2 = e3
| e2 = e3
| e0 = e3
| e3 = op(e3,e1)
| ~ spl3_84
| ~ spl3_102
| ~ spl3_130 ),
inference(forward_demodulation,[],[f6153,f658]) ).
fof(f6153,plain,
( e2 = e3
| e0 = e3
| e3 = op(e3,e1)
| e3 = op(e1,e1)
| ~ spl3_102
| ~ spl3_130 ),
inference(forward_demodulation,[],[f902,f1269]) ).
fof(f10332,plain,
( spl3_137
| spl3_4
| spl3_1
| ~ spl3_84
| ~ spl3_102
| ~ spl3_130 ),
inference(avatar_split_clause,[],[f6149,f1267,f735,f657,f252,f267,f3902]) ).
fof(f6149,plain,
( e0 = e1
| e1 = e2
| e1 = op(e3,e1)
| ~ spl3_84
| ~ spl3_102
| ~ spl3_130 ),
inference(forward_demodulation,[],[f5424,f737]) ).
fof(f5424,plain,
( e1 = e2
| e1 = op(e3,e1)
| e1 = op(e0,e1)
| ~ spl3_84
| ~ spl3_130 ),
inference(duplicate_literal_removal,[],[f5423]) ).
fof(f5423,plain,
( e1 = e2
| e1 = e2
| e1 = op(e3,e1)
| e1 = op(e0,e1)
| ~ spl3_84
| ~ spl3_130 ),
inference(forward_demodulation,[],[f4390,f1269]) ).
fof(f10320,plain,
( spl3_93
| ~ spl3_56
| ~ spl3_117 ),
inference(avatar_split_clause,[],[f6473,f869,f526,f696]) ).
fof(f10185,plain,
( spl3_86
| spl3_1
| spl3_2
| ~ spl3_78
| ~ spl3_112
| ~ spl3_130 ),
inference(avatar_split_clause,[],[f7881,f1267,f826,f631,f257,f252,f666]) ).
fof(f7881,plain,
( e0 = e2
| e0 = e1
| e0 = op(e2,e3)
| ~ spl3_78
| ~ spl3_112
| ~ spl3_130 ),
inference(duplicate_literal_removal,[],[f7880]) ).
fof(f7880,plain,
( e0 = e2
| e0 = e2
| e0 = e1
| e0 = op(e2,e3)
| ~ spl3_78
| ~ spl3_112
| ~ spl3_130 ),
inference(forward_demodulation,[],[f7643,f828]) ).
fof(f7643,plain,
( e0 = e2
| e0 = e1
| e0 = op(e2,e3)
| e0 = op(e2,e0)
| ~ spl3_78
| ~ spl3_130 ),
inference(forward_demodulation,[],[f3997,f1269]) ).
fof(f10095,plain,
( spl3_6
| ~ spl3_70
| ~ spl3_84
| ~ spl3_111 ),
inference(avatar_split_clause,[],[f9367,f809,f657,f594,f277]) ).
fof(f9367,plain,
( e2 = e3
| ~ spl3_70
| ~ spl3_84
| ~ spl3_111 ),
inference(forward_demodulation,[],[f9364,f658]) ).
fof(f10058,plain,
( spl3_5
| ~ spl3_71
| ~ spl3_76
| ~ spl3_78 ),
inference(avatar_split_clause,[],[f10048,f631,f622,f599,f272]) ).
fof(f10048,plain,
( e1 = e3
| ~ spl3_71
| ~ spl3_76
| ~ spl3_78 ),
inference(forward_demodulation,[],[f10047,f632]) ).
fof(f9964,plain,
( spl3_5
| ~ spl3_62
| ~ spl3_77
| ~ spl3_114 ),
inference(avatar_split_clause,[],[f9915,f844,f627,f554,f272]) ).
fof(f9915,plain,
( e1 = e3
| ~ spl3_62
| ~ spl3_77
| ~ spl3_114 ),
inference(forward_demodulation,[],[f846,f6585]) ).
fof(f9894,plain,
( spl3_75
| spl3_5
| spl3_4
| ~ spl3_113
| ~ spl3_119
| ~ spl3_133 ),
inference(avatar_split_clause,[],[f9761,f1377,f898,f830,f267,f272,f618]) ).
fof(f9761,plain,
( e1 = e2
| e1 = e3
| e1 = op(e3,e3)
| ~ spl3_113
| ~ spl3_119
| ~ spl3_133 ),
inference(forward_demodulation,[],[f9760,f832]) ).
fof(f9760,plain,
( e1 = e3
| e1 = op(e3,e3)
| e1 = op(e3,e0)
| ~ spl3_119
| ~ spl3_133 ),
inference(duplicate_literal_removal,[],[f9759]) ).
fof(f9759,plain,
( e1 = e3
| e1 = e3
| e1 = op(e3,e3)
| e1 = op(e3,e0)
| ~ spl3_119
| ~ spl3_133 ),
inference(forward_demodulation,[],[f7624,f900]) ).
fof(f7624,plain,
( e1 = e3
| e1 = op(e3,e3)
| e1 = op(e3,e1)
| e1 = op(e3,e0)
| ~ spl3_133 ),
inference(forward_demodulation,[],[f141,f1379]) ).
fof(f9883,plain,
( spl3_93
| ~ spl3_56
| ~ spl3_117 ),
inference(avatar_split_clause,[],[f6473,f869,f526,f696]) ).
fof(f9718,plain,
( spl3_5
| ~ spl3_75
| ~ spl3_136 ),
inference(avatar_split_clause,[],[f9706,f2462,f618,f272]) ).
fof(f9706,plain,
( e1 = e3
| ~ spl3_75
| ~ spl3_136 ),
inference(forward_demodulation,[],[f2464,f619]) ).
fof(f9704,plain,
( spl3_135
| spl3_5
| spl3_3
| ~ spl3_75
| ~ spl3_89
| ~ spl3_104 ),
inference(avatar_split_clause,[],[f9686,f743,f679,f618,f262,f272,f2114]) ).
fof(f9686,plain,
( e0 = e3
| e1 = e3
| e3 = op(e2,e3)
| ~ spl3_75
| ~ spl3_89
| ~ spl3_104 ),
inference(duplicate_literal_removal,[],[f9685]) ).
fof(f9685,plain,
( e0 = e3
| e0 = e3
| e1 = e3
| e3 = op(e2,e3)
| ~ spl3_75
| ~ spl3_89
| ~ spl3_104 ),
inference(forward_demodulation,[],[f9135,f680]) ).
fof(f9135,plain,
( e0 = e3
| e1 = e3
| e3 = op(e2,e3)
| e3 = op(e1,e3)
| ~ spl3_75
| ~ spl3_104 ),
inference(forward_demodulation,[],[f8620,f745]) ).
fof(f8620,plain,
( e1 = e3
| e3 = op(e2,e3)
| e3 = op(e1,e3)
| e3 = op(e0,e3)
| ~ spl3_75 ),
inference(forward_demodulation,[],[f146,f619]) ).
fof(f9684,plain,
( spl3_75
| spl3_4
| spl3_5
| spl3_1
| ~ spl3_80
| ~ spl3_113
| ~ spl3_119 ),
inference(avatar_split_clause,[],[f9664,f898,f830,f640,f252,f272,f267,f618]) ).
fof(f9664,plain,
( e0 = e1
| e1 = e3
| e1 = e2
| e1 = op(e3,e3)
| ~ spl3_80
| ~ spl3_113
| ~ spl3_119 ),
inference(forward_demodulation,[],[f9370,f641]) ).
fof(f9370,plain,
( e1 = e3
| e1 = e2
| e1 = op(e3,e3)
| e1 = op(e3,e2)
| ~ spl3_113
| ~ spl3_119 ),
inference(forward_demodulation,[],[f6234,f900]) ).
fof(f6234,plain,
( e1 = e2
| e1 = op(e3,e3)
| e1 = op(e3,e2)
| e1 = op(e3,e1)
| ~ spl3_113 ),
inference(forward_demodulation,[],[f141,f832]) ).
fof(f9671,plain,
( spl3_89
| spl3_2
| spl3_1
| spl3_3
| ~ spl3_84
| ~ spl3_97
| ~ spl3_107 ),
inference(avatar_split_clause,[],[f9347,f766,f713,f657,f262,f252,f257,f679]) ).
fof(f9347,plain,
( e0 = e3
| e0 = e1
| e0 = e2
| e0 = op(e1,e3)
| ~ spl3_84
| ~ spl3_97
| ~ spl3_107 ),
inference(forward_demodulation,[],[f4442,f714]) ).
fof(f4442,plain,
( e0 = e1
| e0 = e2
| e0 = op(e1,e3)
| e0 = op(e1,e2)
| ~ spl3_84
| ~ spl3_107 ),
inference(forward_demodulation,[],[f2909,f768]) ).
fof(f9662,plain,
( spl3_5
| ~ spl3_119
| ~ spl3_137 ),
inference(avatar_split_clause,[],[f9632,f3902,f898,f272]) ).
fof(f9632,plain,
( e1 = e3
| ~ spl3_119
| ~ spl3_137 ),
inference(superposition,[],[f3904,f900]) ).
fof(f9640,plain,
( spl3_132
| spl3_135
| spl3_3
| ~ spl3_93
| ~ spl3_104 ),
inference(avatar_split_clause,[],[f9597,f743,f696,f262,f2114,f1368]) ).
fof(f9597,plain,
( e0 = e3
| e3 = op(e2,e3)
| e3 = op(e1,e3)
| ~ spl3_93
| ~ spl3_104 ),
inference(duplicate_literal_removal,[],[f9596]) ).
fof(f9596,plain,
( e0 = e3
| e0 = e3
| e3 = op(e2,e3)
| e3 = op(e1,e3)
| ~ spl3_93
| ~ spl3_104 ),
inference(forward_demodulation,[],[f9589,f745]) ).
fof(f9589,plain,
( e0 = e3
| e3 = op(e2,e3)
| e3 = op(e1,e3)
| e3 = op(e0,e3)
| ~ spl3_93 ),
inference(forward_demodulation,[],[f146,f697]) ).
fof(f9631,plain,
( spl3_137
| spl3_1
| spl3_4
| ~ spl3_80
| ~ spl3_93
| ~ spl3_113 ),
inference(avatar_split_clause,[],[f9613,f830,f696,f640,f267,f252,f3902]) ).
fof(f9613,plain,
( e1 = e2
| e0 = e1
| e1 = op(e3,e1)
| ~ spl3_80
| ~ spl3_93
| ~ spl3_113 ),
inference(forward_demodulation,[],[f9612,f832]) ).
fof(f9612,plain,
( e0 = e1
| e1 = op(e3,e1)
| e1 = op(e3,e0)
| ~ spl3_80
| ~ spl3_93 ),
inference(duplicate_literal_removal,[],[f9611]) ).
fof(f9611,plain,
( e0 = e1
| e0 = e1
| e1 = op(e3,e1)
| e1 = op(e3,e0)
| ~ spl3_80
| ~ spl3_93 ),
inference(forward_demodulation,[],[f8209,f697]) ).
fof(f8209,plain,
( e0 = e1
| e1 = op(e3,e3)
| e1 = op(e3,e1)
| e1 = op(e3,e0)
| ~ spl3_80 ),
inference(forward_demodulation,[],[f141,f641]) ).
fof(f9594,plain,
( spl3_123
| spl3_2
| ~ spl3_89
| ~ spl3_93
| ~ spl3_104 ),
inference(avatar_split_clause,[],[f9577,f743,f696,f679,f257,f1102]) ).
fof(f9577,plain,
( e0 = e2
| e2 = op(e2,e3)
| ~ spl3_89
| ~ spl3_93
| ~ spl3_104 ),
inference(duplicate_literal_removal,[],[f9576]) ).
fof(f9576,plain,
( e0 = e2
| e0 = e2
| e2 = op(e2,e3)
| ~ spl3_89
| ~ spl3_93
| ~ spl3_104 ),
inference(forward_demodulation,[],[f9575,f745]) ).
fof(f9575,plain,
( e0 = e2
| e2 = op(e2,e3)
| e2 = op(e0,e3)
| ~ spl3_89
| ~ spl3_93 ),
inference(duplicate_literal_removal,[],[f9574]) ).
fof(f9572,plain,
( spl3_123
| spl3_6
| spl3_2
| ~ spl3_93
| ~ spl3_104
| ~ spl3_132 ),
inference(avatar_split_clause,[],[f9481,f1368,f743,f696,f257,f277,f1102]) ).
fof(f9481,plain,
( e0 = e2
| e2 = e3
| e2 = op(e2,e3)
| ~ spl3_93
| ~ spl3_104
| ~ spl3_132 ),
inference(duplicate_literal_removal,[],[f9480]) ).
fof(f9480,plain,
( e0 = e2
| e2 = e3
| e0 = e2
| e2 = op(e2,e3)
| ~ spl3_93
| ~ spl3_104
| ~ spl3_132 ),
inference(forward_demodulation,[],[f9479,f745]) ).
fof(f9479,plain,
( e2 = e3
| e0 = e2
| e2 = op(e2,e3)
| e2 = op(e0,e3)
| ~ spl3_93
| ~ spl3_132 ),
inference(forward_demodulation,[],[f6608,f1370]) ).
fof(f6608,plain,
( e0 = e2
| e2 = op(e2,e3)
| e2 = op(e1,e3)
| e2 = op(e0,e3)
| ~ spl3_93 ),
inference(forward_demodulation,[],[f144,f697]) ).
fof(f9559,plain,
( spl3_89
| spl3_2
| spl3_1
| ~ spl3_84
| ~ spl3_107
| ~ spl3_122 ),
inference(avatar_split_clause,[],[f9448,f1026,f766,f657,f252,f257,f679]) ).
fof(f9448,plain,
( e0 = e1
| e0 = e2
| e0 = op(e1,e3)
| ~ spl3_84
| ~ spl3_107
| ~ spl3_122 ),
inference(forward_demodulation,[],[f5987,f768]) ).
fof(f5987,plain,
( e0 = e2
| e0 = op(e1,e3)
| e0 = op(e1,e0)
| ~ spl3_84
| ~ spl3_122 ),
inference(duplicate_literal_removal,[],[f5580]) ).
fof(f5580,plain,
( e0 = e2
| e0 = e2
| e0 = op(e1,e3)
| e0 = op(e1,e0)
| ~ spl3_84
| ~ spl3_122 ),
inference(forward_demodulation,[],[f2909,f1028]) ).
fof(f9535,plain,
( spl3_75
| ~ spl3_64
| ~ spl3_119 ),
inference(avatar_split_clause,[],[f9397,f898,f564,f618]) ).
fof(f9397,plain,
( e1 = op(e3,e3)
| ~ spl3_64
| ~ spl3_119 ),
inference(forward_demodulation,[],[f566,f900]) ).
fof(f9399,plain,
( spl3_124
| spl3_4
| spl3_2
| spl3_6
| ~ spl3_78
| ~ spl3_97
| ~ spl3_103 ),
inference(avatar_split_clause,[],[f9297,f739,f713,f631,f277,f257,f267,f1114]) ).
fof(f9297,plain,
( e2 = e3
| e0 = e2
| e1 = e2
| e2 = op(e3,e2)
| ~ spl3_78
| ~ spl3_97
| ~ spl3_103 ),
inference(forward_demodulation,[],[f8844,f714]) ).
fof(f8844,plain,
( e0 = e2
| e1 = e2
| e2 = op(e3,e2)
| e2 = op(e1,e2)
| ~ spl3_78
| ~ spl3_103 ),
inference(forward_demodulation,[],[f8549,f741]) ).
fof(f9396,plain,
( ~ spl3_75
| spl3_64
| ~ spl3_119 ),
inference(avatar_split_clause,[],[f9357,f898,f564,f618]) ).
fof(f9357,plain,
( e1 != op(e3,e3)
| spl3_64
| ~ spl3_119 ),
inference(forward_demodulation,[],[f565,f900]) ).
fof(f9369,plain,
( spl3_112
| spl3_2
| spl3_4
| ~ spl3_65
| ~ spl3_77
| ~ spl3_84
| ~ spl3_111 ),
inference(avatar_split_clause,[],[f9336,f809,f657,f627,f569,f267,f257,f826]) ).
fof(f9336,plain,
( e1 = e2
| e0 = e2
| e2 = op(e2,e0)
| ~ spl3_65
| ~ spl3_77
| ~ spl3_84
| ~ spl3_111 ),
inference(duplicate_literal_removal,[],[f9335]) ).
fof(f9335,plain,
( e1 = e2
| e0 = e2
| e1 = e2
| e2 = op(e2,e0)
| ~ spl3_65
| ~ spl3_77
| ~ spl3_84
| ~ spl3_111 ),
inference(forward_demodulation,[],[f6746,f811]) ).
fof(f6746,plain,
( e0 = e2
| e1 = e2
| e2 = op(e2,e3)
| e2 = op(e2,e0)
| ~ spl3_65
| ~ spl3_77
| ~ spl3_84 ),
inference(forward_demodulation,[],[f1507,f628]) ).
fof(f1507,plain,
( e1 = e2
| e2 = op(e2,e3)
| e2 = op(e2,e1)
| e2 = op(e2,e0)
| ~ spl3_65
| ~ spl3_84 ),
inference(forward_demodulation,[],[f135,f1317]) ).
fof(f1317,plain,
( e1 = op(e2,e2)
| ~ spl3_65
| ~ spl3_84 ),
inference(superposition,[],[f571,f658]) ).
fof(f9334,plain,
( spl3_86
| ~ spl3_64
| ~ spl3_93
| ~ spl3_111
| ~ spl3_119 ),
inference(avatar_split_clause,[],[f9325,f898,f809,f696,f564,f666]) ).
fof(f9325,plain,
( e0 = op(e2,e3)
| ~ spl3_64
| ~ spl3_93
| ~ spl3_111
| ~ spl3_119 ),
inference(forward_demodulation,[],[f811,f4747]) ).
fof(f4747,plain,
( e0 = e1
| ~ spl3_64
| ~ spl3_93
| ~ spl3_119 ),
inference(forward_demodulation,[],[f1141,f697]) ).
fof(f9289,plain,
( spl3_1
| ~ spl3_75
| ~ spl3_93 ),
inference(avatar_split_clause,[],[f8688,f696,f618,f252]) ).
fof(f8688,plain,
( e0 = e1
| ~ spl3_75
| ~ spl3_93 ),
inference(superposition,[],[f697,f619]) ).
fof(f9258,plain,
( spl3_93
| spl3_3
| spl3_2
| ~ spl3_113
| ~ spl3_119
| ~ spl3_133 ),
inference(avatar_split_clause,[],[f9173,f1377,f898,f830,f257,f262,f696]) ).
fof(f9173,plain,
( e0 = e2
| e0 = e3
| e0 = op(e3,e3)
| ~ spl3_113
| ~ spl3_119
| ~ spl3_133 ),
inference(forward_demodulation,[],[f7984,f832]) ).
fof(f7984,plain,
( e0 = e3
| e0 = op(e3,e3)
| e0 = op(e3,e0)
| ~ spl3_119
| ~ spl3_133 ),
inference(duplicate_literal_removal,[],[f7983]) ).
fof(f7983,plain,
( e0 = e3
| e0 = e3
| e0 = op(e3,e3)
| e0 = op(e3,e0)
| ~ spl3_119
| ~ spl3_133 ),
inference(forward_demodulation,[],[f3432,f1379]) ).
fof(f9160,plain,
( spl3_120
| spl3_86
| spl3_1
| spl3_3
| ~ spl3_65
| ~ spl3_84
| ~ spl3_100 ),
inference(avatar_split_clause,[],[f8467,f726,f657,f569,f262,f252,f666,f944]) ).
fof(f8467,plain,
( e0 = e3
| e0 = e1
| e0 = op(e2,e3)
| e0 = op(e2,e0)
| ~ spl3_65
| ~ spl3_84
| ~ spl3_100 ),
inference(forward_demodulation,[],[f2086,f727]) ).
fof(f2086,plain,
( e0 = e1
| e0 = op(e2,e3)
| e0 = op(e2,e1)
| e0 = op(e2,e0)
| ~ spl3_65
| ~ spl3_84 ),
inference(forward_demodulation,[],[f131,f1317]) ).
fof(f9145,plain,
( spl3_132
| spl3_6
| spl3_5
| spl3_3
| ~ spl3_83
| ~ spl3_84
| ~ spl3_107 ),
inference(avatar_split_clause,[],[f9057,f766,f657,f653,f262,f272,f277,f1368]) ).
fof(f9057,plain,
( e0 = e3
| e1 = e3
| e2 = e3
| e3 = op(e1,e3)
| ~ spl3_83
| ~ spl3_84
| ~ spl3_107 ),
inference(forward_demodulation,[],[f4443,f654]) ).
fof(f9128,plain,
( ~ spl3_84
| spl3_41
| ~ spl3_94 ),
inference(avatar_split_clause,[],[f1108,f700,f452,f657]) ).
fof(f1108,plain,
( e2 != op(e1,e1)
| spl3_41
| ~ spl3_94 ),
inference(superposition,[],[f454,f701]) ).
fof(f9115,plain,
( spl3_94
| spl3_4
| spl3_2
| ~ spl3_62
| ~ spl3_86
| ~ spl3_100
| ~ spl3_104 ),
inference(avatar_split_clause,[],[f9044,f743,f726,f666,f554,f257,f267,f700]) ).
fof(f9044,plain,
( e0 = e2
| e1 = e2
| e2 = op(e1,e3)
| ~ spl3_62
| ~ spl3_86
| ~ spl3_100
| ~ spl3_104 ),
inference(duplicate_literal_removal,[],[f9043]) ).
fof(f9043,plain,
( e0 = e2
| e0 = e2
| e1 = e2
| e2 = op(e1,e3)
| ~ spl3_62
| ~ spl3_86
| ~ spl3_100
| ~ spl3_104 ),
inference(forward_demodulation,[],[f9042,f745]) ).
fof(f9042,plain,
( e0 = e2
| e1 = e2
| e2 = op(e1,e3)
| e2 = op(e0,e3)
| ~ spl3_62
| ~ spl3_86
| ~ spl3_100 ),
inference(forward_demodulation,[],[f6369,f667]) ).
fof(f9041,plain,
( spl3_2
| ~ spl3_74
| ~ spl3_131 ),
inference(avatar_split_clause,[],[f8911,f1271,f614,f257]) ).
fof(f8911,plain,
( e0 = e2
| ~ spl3_74
| ~ spl3_131 ),
inference(superposition,[],[f615,f1273]) ).
fof(f8932,plain,
( spl3_92
| ~ spl3_74
| ~ spl3_131
| ~ spl3_134 ),
inference(avatar_split_clause,[],[f8931,f1835,f1271,f614,f692]) ).
fof(f8931,plain,
( e1 = op(e3,e0)
| ~ spl3_74
| ~ spl3_131
| ~ spl3_134 ),
inference(forward_demodulation,[],[f1836,f8911]) ).
fof(f8930,plain,
( spl3_92
| spl3_134
| spl3_75
| spl3_4
| ~ spl3_131 ),
inference(avatar_split_clause,[],[f4393,f1271,f267,f618,f1835,f692]) ).
fof(f4393,plain,
( e1 = e2
| e1 = op(e3,e3)
| e1 = op(e3,e2)
| e1 = op(e3,e0)
| ~ spl3_131 ),
inference(forward_demodulation,[],[f141,f1273]) ).
fof(f8918,plain,
( spl3_136
| spl3_5
| spl3_3
| spl3_6
| ~ spl3_76
| ~ spl3_86
| ~ spl3_110 ),
inference(avatar_split_clause,[],[f8869,f805,f666,f622,f277,f262,f272,f2462]) ).
fof(f8869,plain,
( e2 = e3
| e0 = e3
| e1 = e3
| e3 = op(e3,e3)
| ~ spl3_76
| ~ spl3_86
| ~ spl3_110 ),
inference(forward_demodulation,[],[f8868,f623]) ).
fof(f8868,plain,
( e0 = e3
| e1 = e3
| e3 = op(e3,e3)
| e3 = op(e0,e3)
| ~ spl3_86
| ~ spl3_110 ),
inference(forward_demodulation,[],[f8017,f667]) ).
fof(f8017,plain,
( e1 = e3
| e3 = op(e3,e3)
| e3 = op(e2,e3)
| e3 = op(e0,e3)
| ~ spl3_110 ),
inference(forward_demodulation,[],[f146,f807]) ).
fof(f8910,plain,
( spl3_74
| spl3_2
| spl3_1
| spl3_3
| ~ spl3_84
| ~ spl3_100
| ~ spl3_106 ),
inference(avatar_split_clause,[],[f8700,f753,f726,f657,f262,f252,f257,f614]) ).
fof(f8700,plain,
( e0 = e3
| e0 = e1
| e0 = e2
| e0 = op(e3,e1)
| ~ spl3_84
| ~ spl3_100
| ~ spl3_106 ),
inference(forward_demodulation,[],[f3661,f727]) ).
fof(f3661,plain,
( e0 = e1
| e0 = e2
| e0 = op(e3,e1)
| e0 = op(e2,e1)
| ~ spl3_84
| ~ spl3_106 ),
inference(forward_demodulation,[],[f3660,f755]) ).
fof(f8908,plain,
( ~ spl3_129
| spl3_22
| ~ spl3_78 ),
inference(avatar_split_clause,[],[f3828,f631,f357,f1194]) ).
fof(f3828,plain,
( e1 != op(e1,e2)
| spl3_22
| ~ spl3_78 ),
inference(superposition,[],[f359,f632]) ).
fof(f8907,plain,
( ~ spl3_75
| spl3_62
| ~ spl3_100 ),
inference(avatar_split_clause,[],[f8787,f726,f554,f618]) ).
fof(f8787,plain,
( e1 != op(e3,e3)
| spl3_62
| ~ spl3_100 ),
inference(forward_demodulation,[],[f555,f727]) ).
fof(f8905,plain,
( ~ spl3_114
| spl3_70
| ~ spl3_86 ),
inference(avatar_split_clause,[],[f8781,f666,f594,f844]) ).
fof(f8781,plain,
( op(e0,e0) != e3
| spl3_70
| ~ spl3_86 ),
inference(forward_demodulation,[],[f595,f667]) ).
fof(f8866,plain,
( spl3_1
| ~ spl3_86
| ~ spl3_111 ),
inference(avatar_split_clause,[],[f8865,f809,f666,f252]) ).
fof(f8865,plain,
( e0 = e1
| ~ spl3_86
| ~ spl3_111 ),
inference(forward_demodulation,[],[f811,f667]) ).
fof(f8843,plain,
( spl3_6
| ~ spl3_72
| ~ spl3_75
| ~ spl3_84 ),
inference(avatar_split_clause,[],[f8777,f657,f618,f604,f277]) ).
fof(f8777,plain,
( e2 = e3
| ~ spl3_72
| ~ spl3_75
| ~ spl3_84 ),
inference(forward_demodulation,[],[f8776,f658]) ).
fof(f8791,plain,
( spl3_3
| ~ spl3_72
| ~ spl3_93
| ~ spl3_101 ),
inference(avatar_split_clause,[],[f8775,f731,f696,f604,f262]) ).
fof(f8775,plain,
( e0 = e3
| ~ spl3_72
| ~ spl3_93
| ~ spl3_101 ),
inference(forward_demodulation,[],[f4807,f733]) ).
fof(f4807,plain,
( op(e0,e0) = e3
| ~ spl3_72
| ~ spl3_93 ),
inference(forward_demodulation,[],[f606,f697]) ).
fof(f8731,plain,
( spl3_3
| ~ spl3_70
| ~ spl3_86
| ~ spl3_101 ),
inference(avatar_split_clause,[],[f8727,f731,f666,f594,f262]) ).
fof(f8727,plain,
( e0 = e3
| ~ spl3_70
| ~ spl3_86
| ~ spl3_101 ),
inference(forward_demodulation,[],[f8191,f733]) ).
fof(f8191,plain,
( op(e0,e0) = e3
| ~ spl3_70
| ~ spl3_86 ),
inference(superposition,[],[f596,f667]) ).
fof(f8724,plain,
( spl3_86
| spl3_3
| spl3_1
| spl3_2
| ~ spl3_78
| ~ spl3_100
| ~ spl3_112 ),
inference(avatar_split_clause,[],[f7011,f826,f726,f631,f257,f252,f262,f666]) ).
fof(f7011,plain,
( e0 = e2
| e0 = e1
| e0 = e3
| e0 = op(e2,e3)
| ~ spl3_78
| ~ spl3_100
| ~ spl3_112 ),
inference(forward_demodulation,[],[f7010,f828]) ).
fof(f7010,plain,
( e0 = e1
| e0 = e3
| e0 = op(e2,e3)
| e0 = op(e2,e0)
| ~ spl3_78
| ~ spl3_100 ),
inference(forward_demodulation,[],[f957,f632]) ).
fof(f957,plain,
( e0 = e3
| e0 = op(e2,e3)
| e0 = op(e2,e2)
| e0 = op(e2,e0)
| ~ spl3_100 ),
inference(forward_demodulation,[],[f131,f727]) ).
fof(f8698,plain,
( spl3_1
| ~ spl3_62
| ~ spl3_93
| ~ spl3_100 ),
inference(avatar_split_clause,[],[f4160,f726,f696,f554,f252]) ).
fof(f4160,plain,
( e0 = e1
| ~ spl3_62
| ~ spl3_93
| ~ spl3_100 ),
inference(forward_demodulation,[],[f3958,f697]) ).
fof(f8609,plain,
( spl3_6
| ~ spl3_79
| ~ spl3_109 ),
inference(avatar_split_clause,[],[f8608,f780,f635,f277]) ).
fof(f8608,plain,
( e2 = e3
| ~ spl3_79
| ~ spl3_109 ),
inference(forward_demodulation,[],[f636,f782]) ).
fof(f8600,plain,
( spl3_4
| ~ spl3_94
| ~ spl3_110 ),
inference(avatar_split_clause,[],[f8598,f805,f700,f267]) ).
fof(f8598,plain,
( e1 = e2
| ~ spl3_94
| ~ spl3_110 ),
inference(forward_demodulation,[],[f701,f807]) ).
fof(f8562,plain,
( spl3_135
| spl3_5
| spl3_6
| ~ spl3_62
| ~ spl3_76
| ~ spl3_100
| ~ spl3_110 ),
inference(avatar_split_clause,[],[f8512,f805,f726,f622,f554,f277,f272,f2114]) ).
fof(f8512,plain,
( e2 = e3
| e1 = e3
| e3 = op(e2,e3)
| ~ spl3_62
| ~ spl3_76
| ~ spl3_100
| ~ spl3_110 ),
inference(forward_demodulation,[],[f8511,f623]) ).
fof(f8511,plain,
( e1 = e3
| e3 = op(e2,e3)
| e3 = op(e0,e3)
| ~ spl3_62
| ~ spl3_100
| ~ spl3_110 ),
inference(duplicate_literal_removal,[],[f8510]) ).
fof(f8510,plain,
( e1 = e3
| e1 = e3
| e3 = op(e2,e3)
| e3 = op(e0,e3)
| ~ spl3_62
| ~ spl3_100
| ~ spl3_110 ),
inference(forward_demodulation,[],[f4349,f807]) ).
fof(f8559,plain,
( ~ spl3_88
| spl3_20
| ~ spl3_78 ),
inference(avatar_split_clause,[],[f3827,f631,f347,f674]) ).
fof(f3827,plain,
( e1 != op(e0,e2)
| spl3_20
| ~ spl3_78 ),
inference(superposition,[],[f349,f632]) ).
fof(f8537,plain,
( ~ spl3_80
| ~ spl3_78
| ~ spl3_100 ),
inference(avatar_split_clause,[],[f8519,f726,f631,f640]) ).
fof(f8519,plain,
( e0 != op(e3,e2)
| ~ spl3_78
| ~ spl3_100 ),
inference(trivial_inequality_removal,[],[f8518]) ).
fof(f8518,plain,
( e3 != e3
| e0 != op(e3,e2)
| ~ spl3_78
| ~ spl3_100 ),
inference(forward_demodulation,[],[f8211,f727]) ).
fof(f8211,plain,
( e0 != op(e3,e2)
| e3 != op(e2,e1)
| ~ spl3_78 ),
inference(trivial_inequality_removal,[],[f8210]) ).
fof(f8210,plain,
( e1 != e1
| e0 != op(e3,e2)
| e3 != op(e2,e1)
| ~ spl3_78 ),
inference(forward_demodulation,[],[f226,f632]) ).
fof(f226,plain,
( e0 != op(e3,e2)
| e1 != op(e2,e2)
| e3 != op(e2,e1) ),
inference(inner_rewriting,[],[f225]) ).
fof(f225,plain,
( e0 != op(op(e2,e1),e2)
| e1 != op(e2,e2)
| e3 != op(e2,e1) ),
inference(inner_rewriting,[],[f190]) ).
fof(f190,plain,
( e0 != op(op(e2,op(e2,e2)),e2)
| e1 != op(e2,e2)
| e3 != op(e2,op(e2,e2)) ),
inference(cnf_transformation,[],[f41]) ).
fof(f41,plain,
( e0 != op(op(e2,op(e2,e2)),e2)
| e1 != op(e2,e2)
| e3 != op(e2,op(e2,e2)) ),
inference(ennf_transformation,[],[f26]) ).
fof(f26,axiom,
~ ( e0 = op(op(e2,op(e2,e2)),e2)
& e1 = op(e2,e2)
& e3 = op(e2,op(e2,e2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax26) ).
fof(f8535,plain,
( spl3_108
| ~ spl3_68
| ~ spl3_80 ),
inference(avatar_split_clause,[],[f8269,f640,f584,f776]) ).
fof(f8269,plain,
( op(e0,e0) = e2
| ~ spl3_68
| ~ spl3_80 ),
inference(forward_demodulation,[],[f586,f641]) ).
fof(f8527,plain,
( spl3_75
| ~ spl3_62
| ~ spl3_100 ),
inference(avatar_split_clause,[],[f6466,f726,f554,f618]) ).
fof(f6466,plain,
( e1 = op(e3,e3)
| ~ spl3_62
| ~ spl3_100 ),
inference(forward_demodulation,[],[f556,f727]) ).
fof(f8509,plain,
( spl3_5
| ~ spl3_62
| ~ spl3_100
| ~ spl3_136 ),
inference(avatar_split_clause,[],[f8508,f2462,f726,f554,f272]) ).
fof(f8508,plain,
( e1 = e3
| ~ spl3_62
| ~ spl3_100
| ~ spl3_136 ),
inference(forward_demodulation,[],[f2464,f6466]) ).
fof(f8505,plain,
( spl3_136
| ~ spl3_70
| ~ spl3_135 ),
inference(avatar_split_clause,[],[f2554,f2114,f594,f2462]) ).
fof(f2554,plain,
( e3 = op(e3,e3)
| ~ spl3_70
| ~ spl3_135 ),
inference(forward_demodulation,[],[f596,f2116]) ).
fof(f8416,plain,
( ~ spl3_78
| spl3_65
| ~ spl3_84 ),
inference(avatar_split_clause,[],[f3191,f657,f569,f631]) ).
fof(f3191,plain,
( e1 != op(e2,e2)
| spl3_65
| ~ spl3_84 ),
inference(forward_demodulation,[],[f570,f658]) ).
fof(f8381,plain,
( spl3_5
| ~ spl3_72
| ~ spl3_78
| ~ spl3_81 ),
inference(avatar_split_clause,[],[f8374,f644,f631,f604,f272]) ).
fof(f8374,plain,
( e1 = e3
| ~ spl3_72
| ~ spl3_78
| ~ spl3_81 ),
inference(forward_demodulation,[],[f2006,f632]) ).
fof(f8367,plain,
( spl3_5
| ~ spl3_84
| ~ spl3_95
| ~ spl3_100
| ~ spl3_112 ),
inference(avatar_split_clause,[],[f8307,f826,f726,f705,f657,f272]) ).
fof(f8307,plain,
( e1 = e3
| ~ spl3_84
| ~ spl3_95
| ~ spl3_100
| ~ spl3_112 ),
inference(forward_demodulation,[],[f8306,f3260]) ).
fof(f8306,plain,
( e2 = e3
| ~ spl3_84
| ~ spl3_95
| ~ spl3_100
| ~ spl3_112 ),
inference(forward_demodulation,[],[f8305,f658]) ).
fof(f8305,plain,
( e3 = op(e1,e1)
| ~ spl3_95
| ~ spl3_100
| ~ spl3_112 ),
inference(forward_demodulation,[],[f727,f3260]) ).
fof(f8280,plain,
( spl3_3
| ~ spl3_86
| ~ spl3_135 ),
inference(avatar_split_clause,[],[f8218,f2114,f666,f262]) ).
fof(f8218,plain,
( e0 = e3
| ~ spl3_86
| ~ spl3_135 ),
inference(forward_demodulation,[],[f2116,f667]) ).
fof(f8195,plain,
( ~ spl3_106
| spl3_14
| ~ spl3_127 ),
inference(avatar_split_clause,[],[f1181,f1177,f317,f753]) ).
fof(f317,plain,
( spl3_14
<=> op(e0,e1) = op(e2,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_14])]) ).
fof(f1181,plain,
( e1 != op(e0,e1)
| spl3_14
| ~ spl3_127 ),
inference(superposition,[],[f319,f1179]) ).
fof(f319,plain,
( op(e0,e1) != op(e2,e1)
| spl3_14 ),
inference(avatar_component_clause,[],[f317]) ).
fof(f8168,plain,
( spl3_86
| spl3_1
| spl3_2
| ~ spl3_65
| ~ spl3_84
| ~ spl3_112
| ~ spl3_127 ),
inference(avatar_split_clause,[],[f3002,f1177,f826,f657,f569,f257,f252,f666]) ).
fof(f3002,plain,
( e0 = e2
| e0 = e1
| e0 = op(e2,e3)
| ~ spl3_65
| ~ spl3_84
| ~ spl3_112
| ~ spl3_127 ),
inference(forward_demodulation,[],[f2088,f828]) ).
fof(f2088,plain,
( e0 = e1
| e0 = op(e2,e3)
| e0 = op(e2,e0)
| ~ spl3_65
| ~ spl3_84
| ~ spl3_127 ),
inference(duplicate_literal_removal,[],[f2087]) ).
fof(f2087,plain,
( e0 = e1
| e0 = e1
| e0 = op(e2,e3)
| e0 = op(e2,e0)
| ~ spl3_65
| ~ spl3_84
| ~ spl3_127 ),
inference(forward_demodulation,[],[f2086,f1179]) ).
fof(f8151,plain,
( spl3_6
| ~ spl3_70
| ~ spl3_81
| ~ spl3_135 ),
inference(avatar_split_clause,[],[f8147,f2114,f644,f594,f277]) ).
fof(f8147,plain,
( e2 = e3
| ~ spl3_70
| ~ spl3_81
| ~ spl3_135 ),
inference(forward_demodulation,[],[f2554,f645]) ).
fof(f8146,plain,
( spl3_135
| spl3_5
| spl3_3
| spl3_6
| ~ spl3_65
| ~ spl3_77
| ~ spl3_84
| ~ spl3_112 ),
inference(avatar_split_clause,[],[f8102,f826,f657,f627,f569,f277,f262,f272,f2114]) ).
fof(f8102,plain,
( e2 = e3
| e0 = e3
| e1 = e3
| e3 = op(e2,e3)
| ~ spl3_65
| ~ spl3_77
| ~ spl3_84
| ~ spl3_112 ),
inference(forward_demodulation,[],[f4233,f828]) ).
fof(f4233,plain,
( e0 = e3
| e1 = e3
| e3 = op(e2,e3)
| e3 = op(e2,e0)
| ~ spl3_65
| ~ spl3_77
| ~ spl3_84 ),
inference(forward_demodulation,[],[f2091,f628]) ).
fof(f2091,plain,
( e1 = e3
| e3 = op(e2,e3)
| e3 = op(e2,e1)
| e3 = op(e2,e0)
| ~ spl3_65
| ~ spl3_84 ),
inference(forward_demodulation,[],[f137,f1317]) ).
fof(f8136,plain,
( spl3_80
| spl3_1
| spl3_3
| spl3_2
| ~ spl3_78
| ~ spl3_97
| ~ spl3_109 ),
inference(avatar_split_clause,[],[f8086,f780,f713,f631,f257,f262,f252,f640]) ).
fof(f8086,plain,
( e0 = e2
| e0 = e3
| e0 = e1
| e0 = op(e3,e2)
| ~ spl3_78
| ~ spl3_97
| ~ spl3_109 ),
inference(forward_demodulation,[],[f4773,f782]) ).
fof(f4773,plain,
( e0 = e3
| e0 = e1
| e0 = op(e3,e2)
| e0 = op(e0,e2)
| ~ spl3_78
| ~ spl3_97 ),
inference(forward_demodulation,[],[f3871,f714]) ).
fof(f3871,plain,
( e0 = e1
| e0 = op(e3,e2)
| e0 = op(e1,e2)
| e0 = op(e0,e2)
| ~ spl3_78 ),
inference(forward_demodulation,[],[f132,f632]) ).
fof(f8101,plain,
( spl3_4
| ~ spl3_64
| ~ spl3_81
| ~ spl3_119 ),
inference(avatar_split_clause,[],[f8093,f898,f644,f564,f267]) ).
fof(f8093,plain,
( e1 = e2
| ~ spl3_64
| ~ spl3_81
| ~ spl3_119 ),
inference(forward_demodulation,[],[f645,f1141]) ).
fof(f8080,plain,
( spl3_123
| spl3_4
| spl3_2
| ~ spl3_62
| ~ spl3_100
| ~ spl3_104
| ~ spl3_110 ),
inference(avatar_split_clause,[],[f8031,f805,f743,f726,f554,f257,f267,f1102]) ).
fof(f8031,plain,
( e0 = e2
| e1 = e2
| e2 = op(e2,e3)
| ~ spl3_62
| ~ spl3_100
| ~ spl3_104
| ~ spl3_110 ),
inference(forward_demodulation,[],[f6880,f745]) ).
fof(f6880,plain,
( e1 = e2
| e2 = op(e2,e3)
| e2 = op(e0,e3)
| ~ spl3_62
| ~ spl3_100
| ~ spl3_110 ),
inference(duplicate_literal_removal,[],[f6372]) ).
fof(f6372,plain,
( e1 = e2
| e1 = e2
| e2 = op(e2,e3)
| e2 = op(e0,e3)
| ~ spl3_62
| ~ spl3_100
| ~ spl3_110 ),
inference(forward_demodulation,[],[f4313,f3958]) ).
fof(f4313,plain,
( e1 = e2
| e2 = op(e3,e3)
| e2 = op(e2,e3)
| e2 = op(e0,e3)
| ~ spl3_110 ),
inference(forward_demodulation,[],[f144,f807]) ).
fof(f8077,plain,
( ~ spl3_91
| spl3_13
| ~ spl3_84 ),
inference(avatar_split_clause,[],[f1319,f657,f312,f687]) ).
fof(f312,plain,
( spl3_13
<=> op(e0,e1) = op(e1,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_13])]) ).
fof(f1319,plain,
( e2 != op(e0,e1)
| spl3_13
| ~ spl3_84 ),
inference(superposition,[],[f314,f658]) ).
fof(f314,plain,
( op(e0,e1) != op(e1,e1)
| spl3_13 ),
inference(avatar_component_clause,[],[f312]) ).
fof(f8065,plain,
( spl3_75
| ~ spl3_62
| ~ spl3_100 ),
inference(avatar_split_clause,[],[f6466,f726,f554,f618]) ).
fof(f8012,plain,
( spl3_93
| spl3_3
| spl3_1
| ~ spl3_92
| ~ spl3_119
| ~ spl3_133 ),
inference(avatar_split_clause,[],[f7976,f1377,f898,f692,f252,f262,f696]) ).
fof(f7976,plain,
( e0 = e1
| e0 = e3
| e0 = op(e3,e3)
| ~ spl3_92
| ~ spl3_119
| ~ spl3_133 ),
inference(forward_demodulation,[],[f7793,f693]) ).
fof(f7793,plain,
( e0 = e3
| e0 = op(e3,e3)
| e0 = op(e3,e0)
| ~ spl3_119
| ~ spl3_133 ),
inference(duplicate_literal_removal,[],[f7792]) ).
fof(f7792,plain,
( e0 = e3
| e0 = e3
| e0 = op(e3,e3)
| e0 = op(e3,e0)
| ~ spl3_119
| ~ spl3_133 ),
inference(forward_demodulation,[],[f7622,f900]) ).
fof(f7622,plain,
( e0 = e3
| e0 = op(e3,e3)
| e0 = op(e3,e1)
| e0 = op(e3,e0)
| ~ spl3_133 ),
inference(forward_demodulation,[],[f139,f1379]) ).
fof(f8004,plain,
( spl3_116
| spl3_5
| spl3_6
| ~ spl3_84
| ~ spl3_110
| ~ spl3_122 ),
inference(avatar_split_clause,[],[f5988,f1026,f805,f657,f277,f272,f865]) ).
fof(f5988,plain,
( e2 = e3
| e1 = e3
| e3 = op(e1,e0)
| ~ spl3_84
| ~ spl3_110
| ~ spl3_122 ),
inference(duplicate_literal_removal,[],[f5503]) ).
fof(f5503,plain,
( e2 = e3
| e1 = e3
| e2 = e3
| e3 = op(e1,e0)
| ~ spl3_84
| ~ spl3_110
| ~ spl3_122 ),
inference(forward_demodulation,[],[f5502,f1028]) ).
fof(f5502,plain,
( e1 = e3
| e2 = e3
| e3 = op(e1,e2)
| e3 = op(e1,e0)
| ~ spl3_84
| ~ spl3_110 ),
inference(forward_demodulation,[],[f1330,f807]) ).
fof(f7969,plain,
( spl3_3
| spl3_6
| spl3_5
| ~ spl3_74
| ~ spl3_84
| ~ spl3_106
| ~ spl3_130 ),
inference(avatar_split_clause,[],[f7677,f1267,f753,f657,f614,f272,f277,f262]) ).
fof(f7677,plain,
( e1 = e3
| e2 = e3
| e0 = e3
| ~ spl3_74
| ~ spl3_84
| ~ spl3_106
| ~ spl3_130 ),
inference(forward_demodulation,[],[f7676,f755]) ).
fof(f7676,plain,
( e2 = e3
| e0 = e3
| e3 = op(e0,e1)
| ~ spl3_74
| ~ spl3_84
| ~ spl3_130 ),
inference(duplicate_literal_removal,[],[f7675]) ).
fof(f7675,plain,
( e2 = e3
| e0 = e3
| e2 = e3
| e3 = op(e0,e1)
| ~ spl3_74
| ~ spl3_84
| ~ spl3_130 ),
inference(forward_demodulation,[],[f7644,f1269]) ).
fof(f7644,plain,
( e0 = e3
| e2 = e3
| e3 = op(e2,e1)
| e3 = op(e0,e1)
| ~ spl3_74
| ~ spl3_84 ),
inference(forward_demodulation,[],[f3658,f615]) ).
fof(f7953,plain,
( spl3_81
| ~ spl3_68
| ~ spl3_133 ),
inference(avatar_split_clause,[],[f7572,f1377,f584,f644]) ).
fof(f7572,plain,
( e2 = op(e3,e3)
| ~ spl3_68
| ~ spl3_133 ),
inference(forward_demodulation,[],[f586,f1379]) ).
fof(f7914,plain,
( spl3_108
| ~ spl3_67
| ~ spl3_103 ),
inference(avatar_split_clause,[],[f4997,f739,f579,f776]) ).
fof(f4997,plain,
( op(e0,e0) = e2
| ~ spl3_67
| ~ spl3_103 ),
inference(forward_demodulation,[],[f581,f741]) ).
fof(f7865,plain,
( spl3_4
| ~ spl3_62
| ~ spl3_67
| ~ spl3_77
| ~ spl3_103 ),
inference(avatar_split_clause,[],[f7827,f739,f627,f579,f554,f267]) ).
fof(f7827,plain,
( e1 = e2
| ~ spl3_62
| ~ spl3_67
| ~ spl3_77
| ~ spl3_103 ),
inference(forward_demodulation,[],[f1830,f6585]) ).
fof(f1830,plain,
( op(e0,e0) = e2
| ~ spl3_67
| ~ spl3_103 ),
inference(superposition,[],[f581,f741]) ).
fof(f7818,plain,
( spl3_2
| ~ spl3_64
| ~ spl3_68
| ~ spl3_91
| ~ spl3_103
| ~ spl3_119
| ~ spl3_133 ),
inference(avatar_split_clause,[],[f7806,f1377,f898,f739,f687,f584,f564,f257]) ).
fof(f7806,plain,
( e0 = e2
| ~ spl3_64
| ~ spl3_68
| ~ spl3_91
| ~ spl3_103
| ~ spl3_119
| ~ spl3_133 ),
inference(forward_demodulation,[],[f688,f7804]) ).
fof(f7804,plain,
( e0 = op(e0,e1)
| ~ spl3_64
| ~ spl3_68
| ~ spl3_103
| ~ spl3_119
| ~ spl3_133 ),
inference(forward_demodulation,[],[f741,f3493]) ).
fof(f3493,plain,
( e1 = e2
| ~ spl3_64
| ~ spl3_68
| ~ spl3_119
| ~ spl3_133 ),
inference(forward_demodulation,[],[f2075,f1141]) ).
fof(f2075,plain,
( e2 = op(e3,e3)
| ~ spl3_68
| ~ spl3_133 ),
inference(superposition,[],[f586,f1379]) ).
fof(f7755,plain,
( spl3_5
| ~ spl3_67
| ~ spl3_78
| ~ spl3_84
| ~ spl3_109
| ~ spl3_110
| ~ spl3_112 ),
inference(avatar_split_clause,[],[f7741,f826,f805,f780,f657,f631,f579,f272]) ).
fof(f7741,plain,
( e1 = e3
| ~ spl3_67
| ~ spl3_78
| ~ spl3_84
| ~ spl3_109
| ~ spl3_110
| ~ spl3_112 ),
inference(duplicate_literal_removal,[],[f7740]) ).
fof(f7740,plain,
( e1 = e3
| e1 = e3
| ~ spl3_67
| ~ spl3_78
| ~ spl3_84
| ~ spl3_109
| ~ spl3_110
| ~ spl3_112 ),
inference(forward_demodulation,[],[f7739,f5764]) ).
fof(f5764,plain,
( e1 = e2
| ~ spl3_67
| ~ spl3_78
| ~ spl3_109 ),
inference(forward_demodulation,[],[f3896,f632]) ).
fof(f3896,plain,
( e2 = op(e2,e2)
| ~ spl3_67
| ~ spl3_109 ),
inference(superposition,[],[f581,f782]) ).
fof(f7739,plain,
( e2 = e3
| e1 = e3
| ~ spl3_67
| ~ spl3_78
| ~ spl3_84
| ~ spl3_109
| ~ spl3_110
| ~ spl3_112 ),
inference(forward_demodulation,[],[f7738,f828]) ).
fof(f7738,plain,
( e1 = e3
| e3 = op(e2,e0)
| ~ spl3_67
| ~ spl3_78
| ~ spl3_84
| ~ spl3_109
| ~ spl3_110 ),
inference(duplicate_literal_removal,[],[f7737]) ).
fof(f7737,plain,
( e1 = e3
| e1 = e3
| e3 = op(e2,e0)
| ~ spl3_67
| ~ spl3_78
| ~ spl3_84
| ~ spl3_109
| ~ spl3_110 ),
inference(forward_demodulation,[],[f7736,f5764]) ).
fof(f7736,plain,
( e2 = e3
| e1 = e3
| e3 = op(e2,e0)
| ~ spl3_67
| ~ spl3_78
| ~ spl3_84
| ~ spl3_109
| ~ spl3_110 ),
inference(forward_demodulation,[],[f7735,f658]) ).
fof(f7735,plain,
( e3 = op(e1,e1)
| e1 = e3
| e3 = op(e2,e0)
| ~ spl3_67
| ~ spl3_78
| ~ spl3_109
| ~ spl3_110 ),
inference(forward_demodulation,[],[f7734,f5764]) ).
fof(f7734,plain,
( e1 = e3
| e3 = op(e2,e1)
| e3 = op(e2,e0)
| ~ spl3_67
| ~ spl3_78
| ~ spl3_109
| ~ spl3_110 ),
inference(duplicate_literal_removal,[],[f7733]) ).
fof(f7733,plain,
( e1 = e3
| e1 = e3
| e3 = op(e2,e1)
| e3 = op(e2,e0)
| ~ spl3_67
| ~ spl3_78
| ~ spl3_109
| ~ spl3_110 ),
inference(forward_demodulation,[],[f7732,f807]) ).
fof(f7732,plain,
( e3 = op(e1,e3)
| e1 = e3
| e3 = op(e2,e1)
| e3 = op(e2,e0)
| ~ spl3_67
| ~ spl3_78
| ~ spl3_109 ),
inference(forward_demodulation,[],[f4246,f5764]) ).
fof(f7696,plain,
( spl3_3
| ~ spl3_67
| ~ spl3_74
| ~ spl3_78
| ~ spl3_109
| ~ spl3_133 ),
inference(avatar_split_clause,[],[f7691,f1377,f780,f631,f614,f579,f262]) ).
fof(f7691,plain,
( e0 = e3
| ~ spl3_67
| ~ spl3_74
| ~ spl3_78
| ~ spl3_109
| ~ spl3_133 ),
inference(forward_demodulation,[],[f5186,f615]) ).
fof(f5186,plain,
( e3 = op(e3,e1)
| ~ spl3_67
| ~ spl3_78
| ~ spl3_109
| ~ spl3_133 ),
inference(forward_demodulation,[],[f1379,f4935]) ).
fof(f4935,plain,
( e1 = e2
| ~ spl3_67
| ~ spl3_78
| ~ spl3_109 ),
inference(forward_demodulation,[],[f3896,f632]) ).
fof(f7659,plain,
( spl3_4
| ~ spl3_91
| ~ spl3_106 ),
inference(avatar_split_clause,[],[f7651,f753,f687,f267]) ).
fof(f7651,plain,
( e1 = e2
| ~ spl3_91
| ~ spl3_106 ),
inference(forward_demodulation,[],[f688,f755]) ).
fof(f7621,plain,
( spl3_1
| ~ spl3_78
| ~ spl3_96 ),
inference(avatar_split_clause,[],[f4043,f709,f631,f252]) ).
fof(f4043,plain,
( e0 = e1
| ~ spl3_78
| ~ spl3_96 ),
inference(superposition,[],[f632,f710]) ).
fof(f7583,plain,
( spl3_2
| ~ spl3_58
| ~ spl3_78
| ~ spl3_81
| ~ spl3_96
| ~ spl3_114 ),
inference(avatar_split_clause,[],[f7565,f844,f709,f644,f631,f535,f257]) ).
fof(f7565,plain,
( e0 = e2
| ~ spl3_58
| ~ spl3_78
| ~ spl3_81
| ~ spl3_96
| ~ spl3_114 ),
inference(forward_demodulation,[],[f645,f7491]) ).
fof(f7491,plain,
( e0 = op(e3,e3)
| ~ spl3_58
| ~ spl3_78
| ~ spl3_96
| ~ spl3_114 ),
inference(forward_demodulation,[],[f4070,f846]) ).
fof(f4070,plain,
( e0 = op(op(e0,e0),op(e0,e0))
| ~ spl3_58
| ~ spl3_78
| ~ spl3_96 ),
inference(forward_demodulation,[],[f537,f4043]) ).
fof(f7466,plain,
( spl3_2
| ~ spl3_78
| ~ spl3_88
| ~ spl3_96
| ~ spl3_122 ),
inference(avatar_split_clause,[],[f7376,f1026,f709,f674,f631,f257]) ).
fof(f7376,plain,
( e0 = e2
| ~ spl3_78
| ~ spl3_88
| ~ spl3_96
| ~ spl3_122 ),
inference(forward_demodulation,[],[f6935,f7348]) ).
fof(f7348,plain,
( e0 = op(e0,e2)
| ~ spl3_78
| ~ spl3_88
| ~ spl3_96 ),
inference(forward_demodulation,[],[f675,f4043]) ).
fof(f6935,plain,
( e2 = op(e0,e2)
| ~ spl3_78
| ~ spl3_96
| ~ spl3_122 ),
inference(forward_demodulation,[],[f1028,f4043]) ).
fof(f7402,plain,
( spl3_3
| ~ spl3_78
| ~ spl3_95
| ~ spl3_96
| ~ spl3_104
| ~ spl3_112 ),
inference(avatar_split_clause,[],[f7374,f826,f743,f709,f705,f631,f262]) ).
fof(f7374,plain,
( e0 = e3
| ~ spl3_78
| ~ spl3_95
| ~ spl3_96
| ~ spl3_104
| ~ spl3_112 ),
inference(duplicate_literal_removal,[],[f7373]) ).
fof(f7373,plain,
( e0 = e3
| e0 = e3
| ~ spl3_78
| ~ spl3_95
| ~ spl3_96
| ~ spl3_104
| ~ spl3_112 ),
inference(forward_demodulation,[],[f7372,f7353]) ).
fof(f7353,plain,
( e0 = e2
| ~ spl3_78
| ~ spl3_95
| ~ spl3_96
| ~ spl3_112 ),
inference(forward_demodulation,[],[f3260,f4043]) ).
fof(f7372,plain,
( e2 = e3
| e0 = e3
| ~ spl3_78
| ~ spl3_95
| ~ spl3_96
| ~ spl3_104
| ~ spl3_112 ),
inference(forward_demodulation,[],[f7371,f828]) ).
fof(f7371,plain,
( e3 = op(e2,e0)
| e0 = e3
| ~ spl3_78
| ~ spl3_95
| ~ spl3_96
| ~ spl3_104
| ~ spl3_112 ),
inference(forward_demodulation,[],[f7370,f4043]) ).
fof(f7370,plain,
( e0 = e3
| e3 = op(e2,e1)
| ~ spl3_78
| ~ spl3_95
| ~ spl3_96
| ~ spl3_104
| ~ spl3_112 ),
inference(duplicate_literal_removal,[],[f7369]) ).
fof(f7369,plain,
( e0 = e3
| e0 = e3
| e3 = op(e2,e1)
| ~ spl3_78
| ~ spl3_95
| ~ spl3_96
| ~ spl3_104
| ~ spl3_112 ),
inference(forward_demodulation,[],[f7368,f745]) ).
fof(f7368,plain,
( e3 = op(e0,e3)
| e0 = e3
| e3 = op(e2,e1)
| ~ spl3_78
| ~ spl3_95
| ~ spl3_96
| ~ spl3_112 ),
inference(forward_demodulation,[],[f7367,f7353]) ).
fof(f7367,plain,
( e0 = e3
| e3 = op(e2,e3)
| e3 = op(e2,e1)
| ~ spl3_78
| ~ spl3_95
| ~ spl3_96
| ~ spl3_112 ),
inference(duplicate_literal_removal,[],[f7366]) ).
fof(f7366,plain,
( e0 = e3
| e0 = e3
| e3 = op(e2,e3)
| e3 = op(e2,e1)
| ~ spl3_78
| ~ spl3_95
| ~ spl3_96
| ~ spl3_112 ),
inference(forward_demodulation,[],[f7365,f4043]) ).
fof(f7365,plain,
( e0 = e3
| e1 = e3
| e3 = op(e2,e3)
| e3 = op(e2,e1)
| ~ spl3_78
| ~ spl3_95
| ~ spl3_96
| ~ spl3_112 ),
inference(forward_demodulation,[],[f7240,f7353]) ).
fof(f7240,plain,
( e2 = e3
| e1 = e3
| e3 = op(e2,e3)
| e3 = op(e2,e1)
| ~ spl3_78
| ~ spl3_112 ),
inference(forward_demodulation,[],[f4246,f828]) ).
fof(f7329,plain,
( spl3_5
| ~ spl3_67
| ~ spl3_78
| ~ spl3_84
| ~ spl3_96
| ~ spl3_109
| ~ spl3_113 ),
inference(avatar_split_clause,[],[f7290,f830,f780,f709,f657,f631,f579,f272]) ).
fof(f7290,plain,
( e1 = e3
| ~ spl3_67
| ~ spl3_78
| ~ spl3_84
| ~ spl3_96
| ~ spl3_109
| ~ spl3_113 ),
inference(duplicate_literal_removal,[],[f7289]) ).
fof(f7289,plain,
( e1 = e3
| e1 = e3
| ~ spl3_67
| ~ spl3_78
| ~ spl3_84
| ~ spl3_96
| ~ spl3_109
| ~ spl3_113 ),
inference(forward_demodulation,[],[f7288,f5064]) ).
fof(f5064,plain,
( e1 = op(e0,e1)
| ~ spl3_67
| ~ spl3_78
| ~ spl3_109 ),
inference(forward_demodulation,[],[f782,f4935]) ).
fof(f7288,plain,
( e1 = e3
| e3 = op(e0,e1)
| ~ spl3_67
| ~ spl3_78
| ~ spl3_84
| ~ spl3_96
| ~ spl3_109
| ~ spl3_113 ),
inference(duplicate_literal_removal,[],[f7287]) ).
fof(f7287,plain,
( e1 = e3
| e1 = e3
| e3 = op(e0,e1)
| ~ spl3_67
| ~ spl3_78
| ~ spl3_84
| ~ spl3_96
| ~ spl3_109
| ~ spl3_113 ),
inference(forward_demodulation,[],[f7286,f5764]) ).
fof(f7286,plain,
( e2 = e3
| e1 = e3
| e3 = op(e0,e1)
| ~ spl3_67
| ~ spl3_78
| ~ spl3_84
| ~ spl3_96
| ~ spl3_109
| ~ spl3_113 ),
inference(forward_demodulation,[],[f7285,f658]) ).
fof(f7285,plain,
( e3 = op(e1,e1)
| e1 = e3
| e3 = op(e0,e1)
| ~ spl3_67
| ~ spl3_78
| ~ spl3_84
| ~ spl3_96
| ~ spl3_109
| ~ spl3_113 ),
inference(forward_demodulation,[],[f7284,f5764]) ).
fof(f7284,plain,
( e1 = e3
| e3 = op(e2,e1)
| e3 = op(e0,e1)
| ~ spl3_67
| ~ spl3_78
| ~ spl3_84
| ~ spl3_96
| ~ spl3_109
| ~ spl3_113 ),
inference(forward_demodulation,[],[f7283,f5764]) ).
fof(f7283,plain,
( e2 = e3
| e3 = op(e2,e1)
| e3 = op(e0,e1)
| ~ spl3_78
| ~ spl3_84
| ~ spl3_96
| ~ spl3_113 ),
inference(duplicate_literal_removal,[],[f7282]) ).
fof(f7282,plain,
( e2 = e3
| e2 = e3
| e3 = op(e2,e1)
| e3 = op(e0,e1)
| ~ spl3_78
| ~ spl3_84
| ~ spl3_96
| ~ spl3_113 ),
inference(forward_demodulation,[],[f6896,f832]) ).
fof(f6896,plain,
( e3 = op(e3,e0)
| e2 = e3
| e3 = op(e2,e1)
| e3 = op(e0,e1)
| ~ spl3_78
| ~ spl3_84
| ~ spl3_96 ),
inference(forward_demodulation,[],[f3658,f4043]) ).
fof(f7206,plain,
( spl3_1
| ~ spl3_82
| ~ spl3_104 ),
inference(avatar_split_clause,[],[f7125,f743,f648,f252]) ).
fof(f7125,plain,
( e0 = e1
| ~ spl3_82
| ~ spl3_104 ),
inference(forward_demodulation,[],[f649,f745]) ).
fof(f7126,plain,
( spl3_2
| ~ spl3_60
| ~ spl3_62
| ~ spl3_92
| ~ spl3_100
| ~ spl3_114
| ~ spl3_131 ),
inference(avatar_split_clause,[],[f7050,f1271,f844,f726,f692,f554,f544,f257]) ).
fof(f7050,plain,
( e0 = e2
| ~ spl3_60
| ~ spl3_62
| ~ spl3_92
| ~ spl3_100
| ~ spl3_114
| ~ spl3_131 ),
inference(forward_demodulation,[],[f7049,f6997]) ).
fof(f6997,plain,
( e0 = e1
| ~ spl3_60
| ~ spl3_62
| ~ spl3_100
| ~ spl3_114 ),
inference(forward_demodulation,[],[f3958,f890]) ).
fof(f890,plain,
( e0 = op(e3,e3)
| ~ spl3_60
| ~ spl3_114 ),
inference(superposition,[],[f546,f846]) ).
fof(f7049,plain,
( e1 = e2
| ~ spl3_60
| ~ spl3_62
| ~ spl3_92
| ~ spl3_100
| ~ spl3_114
| ~ spl3_131 ),
inference(forward_demodulation,[],[f7048,f693]) ).
fof(f7048,plain,
( e2 = op(e3,e0)
| ~ spl3_60
| ~ spl3_62
| ~ spl3_100
| ~ spl3_114
| ~ spl3_131 ),
inference(forward_demodulation,[],[f1273,f6997]) ).
fof(f7001,plain,
( spl3_6
| ~ spl3_78
| ~ spl3_84
| ~ spl3_91
| ~ spl3_96
| ~ spl3_112
| ~ spl3_131 ),
inference(avatar_split_clause,[],[f6980,f1271,f826,f709,f687,f657,f631,f277]) ).
fof(f6980,plain,
( e2 = e3
| ~ spl3_78
| ~ spl3_84
| ~ spl3_91
| ~ spl3_96
| ~ spl3_112
| ~ spl3_131 ),
inference(duplicate_literal_removal,[],[f6979]) ).
fof(f6979,plain,
( e2 = e3
| e2 = e3
| ~ spl3_78
| ~ spl3_84
| ~ spl3_91
| ~ spl3_96
| ~ spl3_112
| ~ spl3_131 ),
inference(forward_demodulation,[],[f6978,f828]) ).
fof(f6978,plain,
( e3 = op(e2,e0)
| e2 = e3
| ~ spl3_78
| ~ spl3_84
| ~ spl3_91
| ~ spl3_96
| ~ spl3_131 ),
inference(forward_demodulation,[],[f5583,f4043]) ).
fof(f5583,plain,
( e2 = e3
| e3 = op(e2,e1)
| ~ spl3_84
| ~ spl3_91
| ~ spl3_131 ),
inference(duplicate_literal_removal,[],[f5582]) ).
fof(f5582,plain,
( e2 = e3
| e2 = e3
| e3 = op(e2,e1)
| ~ spl3_84
| ~ spl3_91
| ~ spl3_131 ),
inference(forward_demodulation,[],[f5563,f688]) ).
fof(f5563,plain,
( e2 = e3
| e3 = op(e2,e1)
| e3 = op(e0,e1)
| ~ spl3_84
| ~ spl3_131 ),
inference(duplicate_literal_removal,[],[f5562]) ).
fof(f5562,plain,
( e2 = e3
| e2 = e3
| e3 = op(e2,e1)
| e3 = op(e0,e1)
| ~ spl3_84
| ~ spl3_131 ),
inference(forward_demodulation,[],[f3658,f1273]) ).
fof(f6877,plain,
( spl3_2
| ~ spl3_60
| ~ spl3_81
| ~ spl3_114 ),
inference(avatar_split_clause,[],[f6790,f844,f644,f544,f257]) ).
fof(f6790,plain,
( e0 = e2
| ~ spl3_60
| ~ spl3_81
| ~ spl3_114 ),
inference(forward_demodulation,[],[f645,f890]) ).
fof(f6794,plain,
( spl3_2
| ~ spl3_83
| ~ spl3_122 ),
inference(avatar_split_clause,[],[f6752,f1026,f653,f257]) ).
fof(f6752,plain,
( e0 = e2
| ~ spl3_83
| ~ spl3_122 ),
inference(forward_demodulation,[],[f1028,f654]) ).
fof(f6725,plain,
( spl3_5
| ~ spl3_105
| ~ spl3_114 ),
inference(avatar_split_clause,[],[f6680,f844,f749,f272]) ).
fof(f6680,plain,
( e1 = e3
| ~ spl3_105
| ~ spl3_114 ),
inference(forward_demodulation,[],[f846,f751]) ).
fof(f6679,plain,
( spl3_103
| ~ spl3_80
| ~ spl3_133 ),
inference(avatar_split_clause,[],[f6666,f1377,f640,f739]) ).
fof(f6666,plain,
( e0 = op(e0,e2)
| ~ spl3_80
| ~ spl3_133 ),
inference(forward_demodulation,[],[f641,f5613]) ).
fof(f5613,plain,
( e0 = e3
| ~ spl3_80
| ~ spl3_133 ),
inference(superposition,[],[f1379,f641]) ).
fof(f6667,plain,
( spl3_101
| ~ spl3_80
| ~ spl3_115
| ~ spl3_133 ),
inference(avatar_split_clause,[],[f6032,f1377,f848,f640,f731]) ).
fof(f6032,plain,
( e0 = op(e0,e0)
| ~ spl3_80
| ~ spl3_115
| ~ spl3_133 ),
inference(forward_demodulation,[],[f850,f5613]) ).
fof(f6662,plain,
( spl3_80
| spl3_2
| spl3_1
| ~ spl3_78
| ~ spl3_109
| ~ spl3_129 ),
inference(avatar_split_clause,[],[f6623,f1194,f780,f631,f252,f257,f640]) ).
fof(f6623,plain,
( e0 = e1
| e0 = e2
| e0 = op(e3,e2)
| ~ spl3_78
| ~ spl3_109
| ~ spl3_129 ),
inference(duplicate_literal_removal,[],[f6622]) ).
fof(f6622,plain,
( e0 = e1
| e0 = e2
| e0 = e1
| e0 = op(e3,e2)
| ~ spl3_78
| ~ spl3_109
| ~ spl3_129 ),
inference(forward_demodulation,[],[f5431,f1196]) ).
fof(f5431,plain,
( e0 = e2
| e0 = e1
| e0 = op(e3,e2)
| e0 = op(e1,e2)
| ~ spl3_78
| ~ spl3_109 ),
inference(forward_demodulation,[],[f3871,f782]) ).
fof(f6604,plain,
( ~ spl3_113
| ~ spl3_85
| ~ spl3_105 ),
inference(avatar_split_clause,[],[f6600,f749,f661,f830]) ).
fof(f6600,plain,
( e2 != op(e3,e0)
| ~ spl3_85
| ~ spl3_105 ),
inference(trivial_inequality_removal,[],[f6599]) ).
fof(f6599,plain,
( e3 != e3
| e2 != op(e3,e0)
| ~ spl3_85
| ~ spl3_105 ),
inference(forward_demodulation,[],[f6598,f662]) ).
fof(f6598,plain,
( e2 != op(e3,e0)
| e3 != op(e0,e1)
| ~ spl3_105 ),
inference(trivial_inequality_removal,[],[f6597]) ).
fof(f6590,plain,
( spl3_133
| spl3_3
| spl3_6
| ~ spl3_93
| ~ spl3_113
| ~ spl3_131 ),
inference(avatar_split_clause,[],[f6508,f1271,f830,f696,f277,f262,f1377]) ).
fof(f6508,plain,
( e2 = e3
| e0 = e3
| e3 = op(e3,e2)
| ~ spl3_93
| ~ spl3_113
| ~ spl3_131 ),
inference(duplicate_literal_removal,[],[f6507]) ).
fof(f6507,plain,
( e2 = e3
| e2 = e3
| e0 = e3
| e3 = op(e3,e2)
| ~ spl3_93
| ~ spl3_113
| ~ spl3_131 ),
inference(forward_demodulation,[],[f6506,f832]) ).
fof(f6506,plain,
( e2 = e3
| e0 = e3
| e3 = op(e3,e2)
| e3 = op(e3,e0)
| ~ spl3_93
| ~ spl3_131 ),
inference(forward_demodulation,[],[f4680,f1273]) ).
fof(f4680,plain,
( e0 = e3
| e3 = op(e3,e2)
| e3 = op(e3,e1)
| e3 = op(e3,e0)
| ~ spl3_93 ),
inference(forward_demodulation,[],[f145,f697]) ).
fof(f6587,plain,
( ~ spl3_98
| spl3_37
| ~ spl3_84 ),
inference(avatar_split_clause,[],[f1318,f657,f432,f718]) ).
fof(f432,plain,
( spl3_37
<=> op(e1,e0) = op(e1,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_37])]) ).
fof(f1318,plain,
( e2 != op(e1,e0)
| spl3_37
| ~ spl3_84 ),
inference(superposition,[],[f434,f658]) ).
fof(f434,plain,
( op(e1,e0) != op(e1,e1)
| spl3_37 ),
inference(avatar_component_clause,[],[f432]) ).
fof(f6575,plain,
( spl3_93
| ~ spl3_56
| ~ spl3_117 ),
inference(avatar_split_clause,[],[f6473,f869,f526,f696]) ).
fof(f6573,plain,
( ~ spl3_96
| spl3_61
| ~ spl3_113 ),
inference(avatar_split_clause,[],[f6469,f830,f549,f709]) ).
fof(f6469,plain,
( e0 != op(e2,e2)
| spl3_61
| ~ spl3_113 ),
inference(forward_demodulation,[],[f550,f832]) ).
fof(f6550,plain,
( spl3_5
| ~ spl3_70
| ~ spl3_86
| ~ spl3_105 ),
inference(avatar_split_clause,[],[f6517,f749,f666,f594,f272]) ).
fof(f6517,plain,
( e1 = e3
| ~ spl3_70
| ~ spl3_86
| ~ spl3_105 ),
inference(forward_demodulation,[],[f1607,f751]) ).
fof(f6499,plain,
( spl3_3
| ~ spl3_62
| ~ spl3_70
| ~ spl3_86
| ~ spl3_93
| ~ spl3_100
| ~ spl3_105 ),
inference(avatar_split_clause,[],[f6492,f749,f726,f696,f666,f594,f554,f262]) ).
fof(f6492,plain,
( e0 = e3
| ~ spl3_62
| ~ spl3_70
| ~ spl3_86
| ~ spl3_93
| ~ spl3_100
| ~ spl3_105 ),
inference(forward_demodulation,[],[f6491,f4160]) ).
fof(f6491,plain,
( e1 = e3
| ~ spl3_70
| ~ spl3_86
| ~ spl3_105 ),
inference(forward_demodulation,[],[f6462,f751]) ).
fof(f6462,plain,
( op(e0,e0) = e3
| ~ spl3_70
| ~ spl3_86 ),
inference(forward_demodulation,[],[f596,f667]) ).
fof(f6475,plain,
( spl3_5
| ~ spl3_72
| ~ spl3_93
| ~ spl3_105 ),
inference(avatar_split_clause,[],[f6441,f749,f696,f604,f272]) ).
fof(f6441,plain,
( e1 = e3
| ~ spl3_72
| ~ spl3_93
| ~ spl3_105 ),
inference(forward_demodulation,[],[f4807,f751]) ).
fof(f6430,plain,
( spl3_3
| ~ spl3_78
| ~ spl3_85
| ~ spl3_96
| ~ spl3_105 ),
inference(avatar_split_clause,[],[f6421,f749,f709,f661,f631,f262]) ).
fof(f6421,plain,
( e0 = e3
| ~ spl3_78
| ~ spl3_85
| ~ spl3_96
| ~ spl3_105 ),
inference(forward_demodulation,[],[f6420,f4043]) ).
fof(f6420,plain,
( e1 = e3
| ~ spl3_78
| ~ spl3_85
| ~ spl3_96
| ~ spl3_105 ),
inference(forward_demodulation,[],[f6419,f751]) ).
fof(f6419,plain,
( op(e0,e0) = e3
| ~ spl3_78
| ~ spl3_85
| ~ spl3_96 ),
inference(forward_demodulation,[],[f662,f4043]) ).
fof(f6390,plain,
( spl3_89
| spl3_2
| spl3_3
| ~ spl3_84
| ~ spl3_97
| ~ spl3_98 ),
inference(avatar_split_clause,[],[f6303,f718,f713,f657,f262,f257,f679]) ).
fof(f6303,plain,
( e0 = e3
| e0 = e2
| e0 = op(e1,e3)
| ~ spl3_84
| ~ spl3_97
| ~ spl3_98 ),
inference(forward_demodulation,[],[f5428,f714]) ).
fof(f5428,plain,
( e0 = e2
| e0 = op(e1,e3)
| e0 = op(e1,e2)
| ~ spl3_84
| ~ spl3_98 ),
inference(duplicate_literal_removal,[],[f5427]) ).
fof(f5427,plain,
( e0 = e2
| e0 = e2
| e0 = op(e1,e3)
| e0 = op(e1,e2)
| ~ spl3_84
| ~ spl3_98 ),
inference(forward_demodulation,[],[f903,f658]) ).
fof(f903,plain,
( e0 = e2
| e0 = op(e1,e3)
| e0 = op(e1,e2)
| e0 = op(e1,e1)
| ~ spl3_98 ),
inference(forward_demodulation,[],[f123,f719]) ).
fof(f6377,plain,
( spl3_6
| spl3_4
| spl3_2
| ~ spl3_62
| ~ spl3_86
| ~ spl3_100
| ~ spl3_110
| ~ spl3_115 ),
inference(avatar_split_clause,[],[f6360,f848,f805,f726,f666,f554,f257,f267,f277]) ).
fof(f6360,plain,
( e0 = e2
| e1 = e2
| e2 = e3
| ~ spl3_62
| ~ spl3_86
| ~ spl3_100
| ~ spl3_110
| ~ spl3_115 ),
inference(forward_demodulation,[],[f6326,f667]) ).
fof(f6326,plain,
( e1 = e2
| e2 = e3
| e2 = op(e2,e3)
| ~ spl3_62
| ~ spl3_100
| ~ spl3_110
| ~ spl3_115 ),
inference(duplicate_literal_removal,[],[f4331]) ).
fof(f4331,plain,
( e1 = e2
| e2 = e3
| e1 = e2
| e2 = op(e2,e3)
| ~ spl3_62
| ~ spl3_100
| ~ spl3_110
| ~ spl3_115 ),
inference(forward_demodulation,[],[f4314,f3958]) ).
fof(f4314,plain,
( e2 = e3
| e1 = e2
| e2 = op(e3,e3)
| e2 = op(e2,e3)
| ~ spl3_110
| ~ spl3_115 ),
inference(forward_demodulation,[],[f4313,f850]) ).
fof(f6358,plain,
( spl3_2
| ~ spl3_86
| ~ spl3_123 ),
inference(avatar_split_clause,[],[f6341,f1102,f666,f257]) ).
fof(f6341,plain,
( e0 = e2
| ~ spl3_86
| ~ spl3_123 ),
inference(superposition,[],[f667,f1104]) ).
fof(f6324,plain,
( spl3_3
| spl3_6
| ~ spl3_77
| ~ spl3_84
| ~ spl3_91
| ~ spl3_131 ),
inference(avatar_split_clause,[],[f5591,f1271,f687,f657,f627,f277,f262]) ).
fof(f5591,plain,
( e2 = e3
| e0 = e3
| ~ spl3_77
| ~ spl3_84
| ~ spl3_91
| ~ spl3_131 ),
inference(duplicate_literal_removal,[],[f5590]) ).
fof(f5590,plain,
( e2 = e3
| e2 = e3
| e0 = e3
| ~ spl3_77
| ~ spl3_84
| ~ spl3_91
| ~ spl3_131 ),
inference(forward_demodulation,[],[f5589,f688]) ).
fof(f5589,plain,
( e2 = e3
| e0 = e3
| e3 = op(e0,e1)
| ~ spl3_77
| ~ spl3_84
| ~ spl3_131 ),
inference(duplicate_literal_removal,[],[f5588]) ).
fof(f5588,plain,
( e2 = e3
| e0 = e3
| e2 = e3
| e3 = op(e0,e1)
| ~ spl3_77
| ~ spl3_84
| ~ spl3_131 ),
inference(forward_demodulation,[],[f4774,f1273]) ).
fof(f6322,plain,
( ~ spl3_76
| spl3_26
| ~ spl3_123 ),
inference(avatar_split_clause,[],[f1257,f1102,f377,f622]) ).
fof(f377,plain,
( spl3_26
<=> op(e0,e3) = op(e2,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_26])]) ).
fof(f1257,plain,
( e2 != op(e0,e3)
| spl3_26
| ~ spl3_123 ),
inference(superposition,[],[f379,f1104]) ).
fof(f379,plain,
( op(e0,e3) != op(e2,e3)
| spl3_26 ),
inference(avatar_component_clause,[],[f377]) ).
fof(f6321,plain,
( ~ spl3_136
| spl3_71
| ~ spl3_115 ),
inference(avatar_split_clause,[],[f6224,f848,f599,f2462]) ).
fof(f6224,plain,
( e3 != op(e3,e3)
| spl3_71
| ~ spl3_115 ),
inference(forward_demodulation,[],[f600,f850]) ).
fof(f6297,plain,
( ~ spl3_115
| ~ spl3_78
| ~ spl3_96
| spl3_132 ),
inference(avatar_split_clause,[],[f4053,f1368,f709,f631,f848]) ).
fof(f4053,plain,
( e3 != op(e0,e3)
| ~ spl3_78
| ~ spl3_96
| spl3_132 ),
inference(forward_demodulation,[],[f1369,f4043]) ).
fof(f6282,plain,
( spl3_96
| ~ spl3_61
| ~ spl3_113 ),
inference(avatar_split_clause,[],[f6215,f830,f549,f709]) ).
fof(f6215,plain,
( e0 = op(e2,e2)
| ~ spl3_61
| ~ spl3_113 ),
inference(forward_demodulation,[],[f551,f832]) ).
fof(f6281,plain,
( ~ spl3_93
| spl3_56
| ~ spl3_117 ),
inference(avatar_split_clause,[],[f5982,f869,f526,f696]) ).
fof(f5982,plain,
( e0 != op(e3,e3)
| spl3_56
| ~ spl3_117 ),
inference(forward_demodulation,[],[f527,f871]) ).
fof(f6226,plain,
( spl3_5
| ~ spl3_68
| ~ spl3_72
| ~ spl3_78
| ~ spl3_133 ),
inference(avatar_split_clause,[],[f6220,f1377,f631,f604,f584,f272]) ).
fof(f6220,plain,
( e1 = e3
| ~ spl3_68
| ~ spl3_72
| ~ spl3_78
| ~ spl3_133 ),
inference(forward_demodulation,[],[f6219,f632]) ).
fof(f6219,plain,
( e3 = op(e2,e2)
| ~ spl3_68
| ~ spl3_72
| ~ spl3_133 ),
inference(forward_demodulation,[],[f606,f3494]) ).
fof(f3494,plain,
( e2 = op(e3,e3)
| ~ spl3_68
| ~ spl3_133 ),
inference(forward_demodulation,[],[f586,f1379]) ).
fof(f6216,plain,
( spl3_6
| ~ spl3_68
| ~ spl3_71
| ~ spl3_115
| ~ spl3_133 ),
inference(avatar_split_clause,[],[f2247,f1377,f848,f599,f584,f277]) ).
fof(f2247,plain,
( e2 = e3
| ~ spl3_68
| ~ spl3_71
| ~ spl3_115
| ~ spl3_133 ),
inference(forward_demodulation,[],[f1580,f2075]) ).
fof(f1580,plain,
( e3 = op(e3,e3)
| ~ spl3_71
| ~ spl3_115 ),
inference(forward_demodulation,[],[f601,f850]) ).
fof(f6211,plain,
( spl3_4
| ~ spl3_67
| ~ spl3_103
| ~ spl3_105 ),
inference(avatar_split_clause,[],[f6197,f749,f739,f579,f267]) ).
fof(f6197,plain,
( e1 = e2
| ~ spl3_67
| ~ spl3_103
| ~ spl3_105 ),
inference(forward_demodulation,[],[f4997,f751]) ).
fof(f6188,plain,
( spl3_1
| ~ spl3_67
| ~ spl3_78
| ~ spl3_102
| ~ spl3_109 ),
inference(avatar_split_clause,[],[f6184,f780,f735,f631,f579,f252]) ).
fof(f6184,plain,
( e0 = e1
| ~ spl3_67
| ~ spl3_78
| ~ spl3_102
| ~ spl3_109 ),
inference(forward_demodulation,[],[f5064,f737]) ).
fof(f6133,plain,
( spl3_6
| ~ spl3_76
| ~ spl3_115 ),
inference(avatar_split_clause,[],[f6057,f848,f622,f277]) ).
fof(f6057,plain,
( e2 = e3
| ~ spl3_76
| ~ spl3_115 ),
inference(forward_demodulation,[],[f850,f623]) ).
fof(f6041,plain,
( spl3_2
| ~ spl3_76
| ~ spl3_80
| ~ spl3_115
| ~ spl3_133 ),
inference(avatar_split_clause,[],[f6040,f1377,f848,f640,f622,f257]) ).
fof(f6040,plain,
( e0 = e2
| ~ spl3_76
| ~ spl3_80
| ~ spl3_115
| ~ spl3_133 ),
inference(forward_demodulation,[],[f6039,f6032]) ).
fof(f6039,plain,
( op(e0,e0) = e2
| ~ spl3_76
| ~ spl3_80
| ~ spl3_133 ),
inference(forward_demodulation,[],[f623,f5613]) ).
fof(f5984,plain,
( spl3_5
| ~ spl3_67
| ~ spl3_78
| ~ spl3_85
| ~ spl3_109 ),
inference(avatar_split_clause,[],[f5838,f780,f661,f631,f579,f272]) ).
fof(f5838,plain,
( e1 = e3
| ~ spl3_67
| ~ spl3_78
| ~ spl3_85
| ~ spl3_109 ),
inference(forward_demodulation,[],[f662,f5064]) ).
fof(f5893,plain,
( spl3_4
| ~ spl3_78
| ~ spl3_123
| ~ spl3_135 ),
inference(avatar_split_clause,[],[f5704,f2114,f1102,f631,f267]) ).
fof(f5704,plain,
( e1 = e2
| ~ spl3_78
| ~ spl3_123
| ~ spl3_135 ),
inference(forward_demodulation,[],[f5703,f632]) ).
fof(f5703,plain,
( e2 = op(e2,e2)
| ~ spl3_123
| ~ spl3_135 ),
inference(forward_demodulation,[],[f1104,f2132]) ).
fof(f2132,plain,
( e2 = e3
| ~ spl3_123
| ~ spl3_135 ),
inference(superposition,[],[f1104,f2116]) ).
fof(f5630,plain,
( spl3_6
| ~ spl3_112
| ~ spl3_117 ),
inference(avatar_split_clause,[],[f5600,f869,f826,f277]) ).
fof(f5600,plain,
( e2 = e3
| ~ spl3_112
| ~ spl3_117 ),
inference(superposition,[],[f828,f871]) ).
fof(f5625,plain,
( ~ spl3_78
| spl3_64
| ~ spl3_131 ),
inference(avatar_split_clause,[],[f5085,f1271,f564,f631]) ).
fof(f5085,plain,
( e1 != op(e2,e2)
| spl3_64
| ~ spl3_131 ),
inference(forward_demodulation,[],[f565,f1273]) ).
fof(f5577,plain,
( spl3_6
| ~ spl3_84
| ~ spl3_91
| ~ spl3_130
| ~ spl3_131 ),
inference(avatar_split_clause,[],[f5567,f1271,f1267,f687,f657,f277]) ).
fof(f5567,plain,
( e2 = e3
| ~ spl3_84
| ~ spl3_91
| ~ spl3_130
| ~ spl3_131 ),
inference(duplicate_literal_removal,[],[f5566]) ).
fof(f5566,plain,
( e2 = e3
| e2 = e3
| ~ spl3_84
| ~ spl3_91
| ~ spl3_130
| ~ spl3_131 ),
inference(forward_demodulation,[],[f5565,f688]) ).
fof(f5565,plain,
( e2 = e3
| e3 = op(e0,e1)
| ~ spl3_84
| ~ spl3_130
| ~ spl3_131 ),
inference(duplicate_literal_removal,[],[f5564]) ).
fof(f5564,plain,
( e2 = e3
| e2 = e3
| e3 = op(e0,e1)
| ~ spl3_84
| ~ spl3_130
| ~ spl3_131 ),
inference(forward_demodulation,[],[f5563,f1269]) ).
fof(f5556,plain,
( spl3_6
| ~ spl3_85
| ~ spl3_91 ),
inference(avatar_split_clause,[],[f5525,f687,f661,f277]) ).
fof(f5525,plain,
( e2 = e3
| ~ spl3_85
| ~ spl3_91 ),
inference(superposition,[],[f688,f662]) ).
fof(f5510,plain,
( spl3_2
| ~ spl3_76
| ~ spl3_104 ),
inference(avatar_split_clause,[],[f5509,f743,f622,f257]) ).
fof(f5509,plain,
( e0 = e2
| ~ spl3_76
| ~ spl3_104 ),
inference(forward_demodulation,[],[f623,f745]) ).
fof(f5500,plain,
( spl3_6
| ~ spl3_67
| ~ spl3_78
| ~ spl3_109
| ~ spl3_131
| ~ spl3_133 ),
inference(avatar_split_clause,[],[f5449,f1377,f1271,f780,f631,f579,f277]) ).
fof(f5449,plain,
( e2 = e3
| ~ spl3_67
| ~ spl3_78
| ~ spl3_109
| ~ spl3_131
| ~ spl3_133 ),
inference(forward_demodulation,[],[f5186,f1273]) ).
fof(f5403,plain,
( spl3_2
| ~ spl3_82
| ~ spl3_104
| ~ spl3_109
| ~ spl3_129 ),
inference(avatar_split_clause,[],[f5315,f1194,f780,f743,f648,f257]) ).
fof(f5315,plain,
( e0 = e2
| ~ spl3_82
| ~ spl3_104
| ~ spl3_109
| ~ spl3_129 ),
inference(forward_demodulation,[],[f782,f4978]) ).
fof(f4978,plain,
( e0 = op(e0,e2)
| ~ spl3_82
| ~ spl3_104
| ~ spl3_129 ),
inference(forward_demodulation,[],[f1196,f2574]) ).
fof(f2574,plain,
( e0 = e1
| ~ spl3_82
| ~ spl3_104 ),
inference(superposition,[],[f745,f649]) ).
fof(f5321,plain,
( spl3_2
| ~ spl3_62
| ~ spl3_77
| ~ spl3_82
| ~ spl3_98
| ~ spl3_104 ),
inference(avatar_split_clause,[],[f5265,f743,f718,f648,f627,f554,f257]) ).
fof(f5265,plain,
( e0 = e2
| ~ spl3_62
| ~ spl3_77
| ~ spl3_82
| ~ spl3_98
| ~ spl3_104 ),
inference(forward_demodulation,[],[f5264,f2574]) ).
fof(f5264,plain,
( e1 = e2
| ~ spl3_62
| ~ spl3_77
| ~ spl3_82
| ~ spl3_98
| ~ spl3_104 ),
inference(forward_demodulation,[],[f5263,f4200]) ).
fof(f4200,plain,
( op(e0,e0) = e1
| ~ spl3_62
| ~ spl3_77 ),
inference(superposition,[],[f556,f628]) ).
fof(f5263,plain,
( op(e0,e0) = e2
| ~ spl3_82
| ~ spl3_98
| ~ spl3_104 ),
inference(forward_demodulation,[],[f719,f2574]) ).
fof(f5236,plain,
( spl3_5
| ~ spl3_67
| ~ spl3_78
| ~ spl3_82
| ~ spl3_92
| ~ spl3_104
| ~ spl3_109
| ~ spl3_133 ),
inference(avatar_split_clause,[],[f4964,f1377,f780,f743,f692,f648,f631,f579,f272]) ).
fof(f4964,plain,
( e1 = e3
| ~ spl3_67
| ~ spl3_78
| ~ spl3_82
| ~ spl3_92
| ~ spl3_104
| ~ spl3_109
| ~ spl3_133 ),
inference(forward_demodulation,[],[f4963,f693]) ).
fof(f4963,plain,
( e3 = op(e3,e0)
| ~ spl3_67
| ~ spl3_78
| ~ spl3_82
| ~ spl3_104
| ~ spl3_109
| ~ spl3_133 ),
inference(forward_demodulation,[],[f1379,f4944]) ).
fof(f4944,plain,
( e0 = e2
| ~ spl3_67
| ~ spl3_78
| ~ spl3_82
| ~ spl3_104
| ~ spl3_109 ),
inference(forward_demodulation,[],[f4935,f2574]) ).
fof(f5106,plain,
( spl3_3
| ~ spl3_78
| ~ spl3_92
| ~ spl3_96
| ~ spl3_119 ),
inference(avatar_split_clause,[],[f5102,f898,f709,f692,f631,f262]) ).
fof(f5102,plain,
( e0 = e3
| ~ spl3_78
| ~ spl3_92
| ~ spl3_96
| ~ spl3_119 ),
inference(forward_demodulation,[],[f5101,f4043]) ).
fof(f5101,plain,
( e1 = e3
| ~ spl3_78
| ~ spl3_92
| ~ spl3_96
| ~ spl3_119 ),
inference(forward_demodulation,[],[f5100,f693]) ).
fof(f5100,plain,
( e3 = op(e3,e0)
| ~ spl3_78
| ~ spl3_96
| ~ spl3_119 ),
inference(forward_demodulation,[],[f900,f4043]) ).
fof(f5096,plain,
( spl3_6
| ~ spl3_119
| ~ spl3_131 ),
inference(avatar_split_clause,[],[f5061,f1271,f898,f277]) ).
fof(f5061,plain,
( e2 = e3
| ~ spl3_119
| ~ spl3_131 ),
inference(forward_demodulation,[],[f900,f1273]) ).
fof(f5038,plain,
( spl3_123
| spl3_2
| spl3_4
| ~ spl3_56
| ~ spl3_82
| ~ spl3_110
| ~ spl3_117 ),
inference(avatar_split_clause,[],[f4987,f869,f805,f648,f526,f267,f257,f1102]) ).
fof(f4987,plain,
( e1 = e2
| e0 = e2
| e2 = op(e2,e3)
| ~ spl3_56
| ~ spl3_82
| ~ spl3_110
| ~ spl3_117 ),
inference(duplicate_literal_removal,[],[f4986]) ).
fof(f4986,plain,
( e1 = e2
| e1 = e2
| e0 = e2
| e2 = op(e2,e3)
| ~ spl3_56
| ~ spl3_82
| ~ spl3_110
| ~ spl3_117 ),
inference(forward_demodulation,[],[f4783,f649]) ).
fof(f4783,plain,
( e1 = e2
| e0 = e2
| e2 = op(e2,e3)
| e2 = op(e0,e3)
| ~ spl3_56
| ~ spl3_110
| ~ spl3_117 ),
inference(forward_demodulation,[],[f1485,f807]) ).
fof(f1485,plain,
( e0 = e2
| e2 = op(e2,e3)
| e2 = op(e1,e3)
| e2 = op(e0,e3)
| ~ spl3_56
| ~ spl3_117 ),
inference(forward_demodulation,[],[f144,f1090]) ).
fof(f1090,plain,
( e0 = op(e3,e3)
| ~ spl3_56
| ~ spl3_117 ),
inference(superposition,[],[f528,f871]) ).
fof(f4982,plain,
( spl3_3
| ~ spl3_82
| ~ spl3_104
| ~ spl3_132 ),
inference(avatar_split_clause,[],[f4977,f1368,f743,f648,f262]) ).
fof(f4977,plain,
( e0 = e3
| ~ spl3_82
| ~ spl3_104
| ~ spl3_132 ),
inference(forward_demodulation,[],[f4976,f745]) ).
fof(f4976,plain,
( e3 = op(e0,e3)
| ~ spl3_82
| ~ spl3_104
| ~ spl3_132 ),
inference(forward_demodulation,[],[f1370,f2574]) ).
fof(f4970,plain,
( spl3_3
| ~ spl3_67
| ~ spl3_78
| ~ spl3_82
| ~ spl3_84
| ~ spl3_104
| ~ spl3_109
| ~ spl3_125
| ~ spl3_129 ),
inference(avatar_split_clause,[],[f4957,f1194,f1152,f780,f743,f657,f648,f631,f579,f262]) ).
fof(f4957,plain,
( e0 = e3
| ~ spl3_67
| ~ spl3_78
| ~ spl3_82
| ~ spl3_84
| ~ spl3_104
| ~ spl3_109
| ~ spl3_125
| ~ spl3_129 ),
inference(duplicate_literal_removal,[],[f4956]) ).
fof(f4956,plain,
( e0 = e3
| e0 = e3
| ~ spl3_67
| ~ spl3_78
| ~ spl3_82
| ~ spl3_84
| ~ spl3_104
| ~ spl3_109
| ~ spl3_125
| ~ spl3_129 ),
inference(forward_demodulation,[],[f4955,f1154]) ).
fof(f4955,plain,
( e0 = e3
| e3 = op(e1,e0)
| ~ spl3_67
| ~ spl3_78
| ~ spl3_82
| ~ spl3_84
| ~ spl3_104
| ~ spl3_109
| ~ spl3_129 ),
inference(duplicate_literal_removal,[],[f4954]) ).
fof(f4954,plain,
( e0 = e3
| e0 = e3
| e3 = op(e1,e0)
| ~ spl3_67
| ~ spl3_78
| ~ spl3_82
| ~ spl3_84
| ~ spl3_104
| ~ spl3_109
| ~ spl3_129 ),
inference(forward_demodulation,[],[f4953,f745]) ).
fof(f4953,plain,
( e3 = op(e0,e3)
| e0 = e3
| e3 = op(e1,e0)
| ~ spl3_67
| ~ spl3_78
| ~ spl3_82
| ~ spl3_84
| ~ spl3_104
| ~ spl3_109
| ~ spl3_129 ),
inference(forward_demodulation,[],[f4952,f2574]) ).
fof(f4952,plain,
( e0 = e3
| e3 = op(e1,e3)
| e3 = op(e1,e0)
| ~ spl3_67
| ~ spl3_78
| ~ spl3_82
| ~ spl3_84
| ~ spl3_104
| ~ spl3_109
| ~ spl3_129 ),
inference(duplicate_literal_removal,[],[f4951]) ).
fof(f4951,plain,
( e0 = e3
| e0 = e3
| e3 = op(e1,e3)
| e3 = op(e1,e0)
| ~ spl3_67
| ~ spl3_78
| ~ spl3_82
| ~ spl3_84
| ~ spl3_104
| ~ spl3_109
| ~ spl3_129 ),
inference(forward_demodulation,[],[f4950,f4944]) ).
fof(f4950,plain,
( e0 = e3
| e2 = e3
| e3 = op(e1,e3)
| e3 = op(e1,e0)
| ~ spl3_82
| ~ spl3_84
| ~ spl3_104
| ~ spl3_129 ),
inference(forward_demodulation,[],[f2382,f2574]) ).
fof(f4941,plain,
( spl3_2
| ~ spl3_68
| ~ spl3_93
| ~ spl3_133 ),
inference(avatar_split_clause,[],[f4903,f1377,f696,f584,f257]) ).
fof(f4903,plain,
( e0 = e2
| ~ spl3_68
| ~ spl3_93
| ~ spl3_133 ),
inference(forward_demodulation,[],[f3494,f697]) ).
fof(f4860,plain,
( spl3_3
| ~ spl3_70
| ~ spl3_93
| ~ spl3_135 ),
inference(avatar_split_clause,[],[f4845,f2114,f696,f594,f262]) ).
fof(f4845,plain,
( e0 = e3
| ~ spl3_70
| ~ spl3_93
| ~ spl3_135 ),
inference(forward_demodulation,[],[f2554,f697]) ).
fof(f4839,plain,
( spl3_135
| spl3_3
| ~ spl3_82
| ~ spl3_93
| ~ spl3_104
| ~ spl3_110 ),
inference(avatar_split_clause,[],[f4800,f805,f743,f696,f648,f262,f2114]) ).
fof(f4800,plain,
( e0 = e3
| e3 = op(e2,e3)
| ~ spl3_82
| ~ spl3_93
| ~ spl3_104
| ~ spl3_110 ),
inference(duplicate_literal_removal,[],[f4799]) ).
fof(f4799,plain,
( e0 = e3
| e0 = e3
| e3 = op(e2,e3)
| ~ spl3_82
| ~ spl3_93
| ~ spl3_104
| ~ spl3_110 ),
inference(forward_demodulation,[],[f4798,f2574]) ).
fof(f4798,plain,
( e1 = e3
| e0 = e3
| e3 = op(e2,e3)
| ~ spl3_82
| ~ spl3_93
| ~ spl3_104
| ~ spl3_110 ),
inference(forward_demodulation,[],[f4797,f807]) ).
fof(f4797,plain,
( e0 = e3
| e3 = op(e2,e3)
| e3 = op(e1,e3)
| ~ spl3_82
| ~ spl3_93
| ~ spl3_104 ),
inference(duplicate_literal_removal,[],[f4796]) ).
fof(f4796,plain,
( e0 = e3
| e0 = e3
| e3 = op(e2,e3)
| e3 = op(e1,e3)
| ~ spl3_82
| ~ spl3_93
| ~ spl3_104 ),
inference(forward_demodulation,[],[f2976,f2574]) ).
fof(f2976,plain,
( e1 = e3
| e0 = e3
| e3 = op(e2,e3)
| e3 = op(e1,e3)
| ~ spl3_82
| ~ spl3_93 ),
inference(forward_demodulation,[],[f2854,f649]) ).
fof(f2854,plain,
( e0 = e3
| e3 = op(e2,e3)
| e3 = op(e1,e3)
| e3 = op(e0,e3)
| ~ spl3_93 ),
inference(forward_demodulation,[],[f146,f697]) ).
fof(f4812,plain,
( spl3_6
| ~ spl3_72
| ~ spl3_93
| ~ spl3_108 ),
inference(avatar_split_clause,[],[f4808,f776,f696,f604,f277]) ).
fof(f4808,plain,
( e2 = e3
| ~ spl3_72
| ~ spl3_93
| ~ spl3_108 ),
inference(forward_demodulation,[],[f4807,f778]) ).
fof(f4770,plain,
( spl3_123
| spl3_4
| spl3_2
| spl3_6
| ~ spl3_93
| ~ spl3_110
| ~ spl3_115 ),
inference(avatar_split_clause,[],[f4687,f848,f805,f696,f277,f257,f267,f1102]) ).
fof(f4687,plain,
( e2 = e3
| e0 = e2
| e1 = e2
| e2 = op(e2,e3)
| ~ spl3_93
| ~ spl3_110
| ~ spl3_115 ),
inference(forward_demodulation,[],[f4686,f850]) ).
fof(f4686,plain,
( e0 = e2
| e1 = e2
| e2 = op(e2,e3)
| e2 = op(e0,e3)
| ~ spl3_93
| ~ spl3_110 ),
inference(forward_demodulation,[],[f4313,f697]) ).
fof(f4751,plain,
( spl3_3
| ~ spl3_74
| ~ spl3_119 ),
inference(avatar_split_clause,[],[f4748,f898,f614,f262]) ).
fof(f4748,plain,
( e0 = e3
| ~ spl3_74
| ~ spl3_119 ),
inference(forward_demodulation,[],[f900,f615]) ).
fof(f4749,plain,
( spl3_3
| ~ spl3_56
| ~ spl3_64
| ~ spl3_97
| ~ spl3_103
| ~ spl3_117
| ~ spl3_119 ),
inference(avatar_split_clause,[],[f4742,f898,f869,f739,f713,f564,f526,f262]) ).
fof(f4742,plain,
( e0 = e3
| ~ spl3_56
| ~ spl3_64
| ~ spl3_97
| ~ spl3_103
| ~ spl3_117
| ~ spl3_119 ),
inference(forward_demodulation,[],[f1519,f741]) ).
fof(f1519,plain,
( e3 = op(e0,e2)
| ~ spl3_56
| ~ spl3_64
| ~ spl3_97
| ~ spl3_117
| ~ spl3_119 ),
inference(forward_demodulation,[],[f714,f1481]) ).
fof(f1481,plain,
( e0 = e1
| ~ spl3_56
| ~ spl3_64
| ~ spl3_117
| ~ spl3_119 ),
inference(forward_demodulation,[],[f1141,f1090]) ).
fof(f4740,plain,
( spl3_119
| spl3_3
| spl3_6
| spl3_5
| ~ spl3_56
| ~ spl3_92
| ~ spl3_117
| ~ spl3_124 ),
inference(avatar_split_clause,[],[f1542,f1114,f869,f692,f526,f272,f277,f262,f898]) ).
fof(f1542,plain,
( e1 = e3
| e2 = e3
| e0 = e3
| e3 = op(e3,e1)
| ~ spl3_56
| ~ spl3_92
| ~ spl3_117
| ~ spl3_124 ),
inference(forward_demodulation,[],[f1541,f693]) ).
fof(f1541,plain,
( e2 = e3
| e0 = e3
| e3 = op(e3,e1)
| e3 = op(e3,e0)
| ~ spl3_56
| ~ spl3_117
| ~ spl3_124 ),
inference(forward_demodulation,[],[f1540,f1116]) ).
fof(f1540,plain,
( e0 = e3
| e3 = op(e3,e2)
| e3 = op(e3,e1)
| e3 = op(e3,e0)
| ~ spl3_56
| ~ spl3_117 ),
inference(forward_demodulation,[],[f145,f1090]) ).
fof(f4731,plain,
( spl3_74
| spl3_1
| spl3_2
| ~ spl3_84
| ~ spl3_106
| ~ spl3_130 ),
inference(avatar_split_clause,[],[f4301,f1267,f753,f657,f257,f252,f614]) ).
fof(f4301,plain,
( e0 = e2
| e0 = e1
| e0 = op(e3,e1)
| ~ spl3_84
| ~ spl3_106
| ~ spl3_130 ),
inference(duplicate_literal_removal,[],[f4300]) ).
fof(f4300,plain,
( e0 = e2
| e0 = e1
| e0 = e2
| e0 = op(e3,e1)
| ~ spl3_84
| ~ spl3_106
| ~ spl3_130 ),
inference(forward_demodulation,[],[f3661,f1269]) ).
fof(f4714,plain,
( spl3_119
| spl3_6
| spl3_3
| spl3_5
| ~ spl3_77
| ~ spl3_84
| ~ spl3_106 ),
inference(avatar_split_clause,[],[f4537,f753,f657,f627,f272,f262,f277,f898]) ).
fof(f4537,plain,
( e1 = e3
| e0 = e3
| e2 = e3
| e3 = op(e3,e1)
| ~ spl3_77
| ~ spl3_84
| ~ spl3_106 ),
inference(forward_demodulation,[],[f4439,f755]) ).
fof(f4439,plain,
( e0 = e3
| e2 = e3
| e3 = op(e3,e1)
| e3 = op(e0,e1)
| ~ spl3_77
| ~ spl3_84 ),
inference(forward_demodulation,[],[f3658,f628]) ).
fof(f4674,plain,
( ~ spl3_121
| spl3_51
| ~ spl3_93 ),
inference(avatar_split_clause,[],[f2756,f696,f502,f948]) ).
fof(f2756,plain,
( e0 != op(e3,e0)
| spl3_51
| ~ spl3_93 ),
inference(superposition,[],[f504,f697]) ).
fof(f4633,plain,
( spl3_6
| ~ spl3_97
| ~ spl3_122 ),
inference(avatar_split_clause,[],[f4616,f1026,f713,f277]) ).
fof(f4616,plain,
( e2 = e3
| ~ spl3_97
| ~ spl3_122 ),
inference(forward_demodulation,[],[f714,f1028]) ).
fof(f4589,plain,
( spl3_93
| ~ spl3_56
| ~ spl3_117 ),
inference(avatar_split_clause,[],[f1090,f869,f526,f696]) ).
fof(f4536,plain,
( spl3_2
| ~ spl3_103
| ~ spl3_109 ),
inference(avatar_split_clause,[],[f4492,f780,f739,f257]) ).
fof(f4492,plain,
( e0 = e2
| ~ spl3_103
| ~ spl3_109 ),
inference(forward_demodulation,[],[f782,f741]) ).
fof(f4506,plain,
( spl3_3
| ~ spl3_73
| ~ spl3_81
| ~ spl3_117
| ~ spl3_121
| ~ spl3_132 ),
inference(avatar_split_clause,[],[f4473,f1368,f948,f869,f644,f609,f262]) ).
fof(f4473,plain,
( e0 = e3
| ~ spl3_73
| ~ spl3_81
| ~ spl3_117
| ~ spl3_121
| ~ spl3_132 ),
inference(forward_demodulation,[],[f871,f4466]) ).
fof(f4466,plain,
( e0 = op(e2,e0)
| ~ spl3_73
| ~ spl3_81
| ~ spl3_121
| ~ spl3_132 ),
inference(forward_demodulation,[],[f950,f3777]) ).
fof(f3777,plain,
( e2 = e3
| ~ spl3_73
| ~ spl3_81
| ~ spl3_132 ),
inference(forward_demodulation,[],[f3481,f645]) ).
fof(f4436,plain,
( spl3_99
| ~ spl3_58
| ~ spl3_107 ),
inference(avatar_split_clause,[],[f4380,f766,f535,f722]) ).
fof(f4380,plain,
( e0 = op(e1,e1)
| ~ spl3_58
| ~ spl3_107 ),
inference(forward_demodulation,[],[f537,f768]) ).
fof(f4426,plain,
( spl3_81
| ~ spl3_69
| ~ spl3_97 ),
inference(avatar_split_clause,[],[f4378,f713,f589,f644]) ).
fof(f4382,plain,
( spl3_4
| ~ spl3_62
| ~ spl3_81
| ~ spl3_100 ),
inference(avatar_split_clause,[],[f4373,f726,f644,f554,f267]) ).
fof(f4373,plain,
( e1 = e2
| ~ spl3_62
| ~ spl3_81
| ~ spl3_100 ),
inference(forward_demodulation,[],[f645,f3958]) ).
fof(f4344,plain,
( spl3_101
| ~ spl3_56
| ~ spl3_120 ),
inference(avatar_split_clause,[],[f1159,f944,f526,f731]) ).
fof(f1159,plain,
( e0 = op(e0,e0)
| ~ spl3_56
| ~ spl3_120 ),
inference(superposition,[],[f528,f946]) ).
fof(f4343,plain,
( ~ spl3_93
| spl3_58
| ~ spl3_116 ),
inference(avatar_split_clause,[],[f4328,f865,f535,f696]) ).
fof(f4328,plain,
( e0 != op(e3,e3)
| spl3_58
| ~ spl3_116 ),
inference(forward_demodulation,[],[f536,f867]) ).
fof(f4330,plain,
( spl3_6
| ~ spl3_100
| ~ spl3_130 ),
inference(avatar_split_clause,[],[f4325,f1267,f726,f277]) ).
fof(f4325,plain,
( e2 = e3
| ~ spl3_100
| ~ spl3_130 ),
inference(forward_demodulation,[],[f727,f1269]) ).
fof(f4309,plain,
( spl3_100
| spl3_5
| spl3_6
| ~ spl3_84
| ~ spl3_106
| ~ spl3_131 ),
inference(avatar_split_clause,[],[f4223,f1271,f753,f657,f277,f272,f726]) ).
fof(f4223,plain,
( e2 = e3
| e1 = e3
| e3 = op(e2,e1)
| ~ spl3_84
| ~ spl3_106
| ~ spl3_131 ),
inference(duplicate_literal_removal,[],[f4222]) ).
fof(f4222,plain,
( e2 = e3
| e1 = e3
| e2 = e3
| e3 = op(e2,e1)
| ~ spl3_84
| ~ spl3_106
| ~ spl3_131 ),
inference(forward_demodulation,[],[f3659,f1273]) ).
fof(f3659,plain,
( e1 = e3
| e2 = e3
| e3 = op(e3,e1)
| e3 = op(e2,e1)
| ~ spl3_84
| ~ spl3_106 ),
inference(forward_demodulation,[],[f3658,f755]) ).
fof(f4299,plain,
( spl3_1
| ~ spl3_89
| ~ spl3_110 ),
inference(avatar_split_clause,[],[f4291,f805,f679,f252]) ).
fof(f4291,plain,
( e0 = e1
| ~ spl3_89
| ~ spl3_110 ),
inference(superposition,[],[f680,f807]) ).
fof(f4288,plain,
( spl3_89
| spl3_3
| spl3_2
| ~ spl3_84
| ~ spl3_116
| ~ spl3_122 ),
inference(avatar_split_clause,[],[f3326,f1026,f865,f657,f257,f262,f679]) ).
fof(f3326,plain,
( e0 = e2
| e0 = e3
| e0 = op(e1,e3)
| ~ spl3_84
| ~ spl3_116
| ~ spl3_122 ),
inference(duplicate_literal_removal,[],[f3325]) ).
fof(f3325,plain,
( e0 = e2
| e0 = e3
| e0 = e2
| e0 = op(e1,e3)
| ~ spl3_84
| ~ spl3_116
| ~ spl3_122 ),
inference(forward_demodulation,[],[f3222,f1028]) ).
fof(f3222,plain,
( e0 = e3
| e0 = e2
| e0 = op(e1,e3)
| e0 = op(e1,e2)
| ~ spl3_84
| ~ spl3_116 ),
inference(forward_demodulation,[],[f2909,f867]) ).
fof(f4274,plain,
( spl3_5
| spl3_6
| spl3_3
| ~ spl3_77
| ~ spl3_84
| ~ spl3_106
| ~ spl3_131 ),
inference(avatar_split_clause,[],[f4224,f1271,f753,f657,f627,f262,f277,f272]) ).
fof(f4224,plain,
( e0 = e3
| e2 = e3
| e1 = e3
| ~ spl3_77
| ~ spl3_84
| ~ spl3_106
| ~ spl3_131 ),
inference(forward_demodulation,[],[f4223,f628]) ).
fof(f4260,plain,
( ~ spl3_103
| spl3_19
| ~ spl3_83 ),
inference(avatar_split_clause,[],[f1145,f653,f342,f739]) ).
fof(f1145,plain,
( e0 != op(e0,e2)
| spl3_19
| ~ spl3_83 ),
inference(superposition,[],[f344,f654]) ).
fof(f4257,plain,
( ~ spl3_108
| spl3_67
| ~ spl3_103 ),
inference(avatar_split_clause,[],[f4148,f739,f579,f776]) ).
fof(f4148,plain,
( op(e0,e0) != e2
| spl3_67
| ~ spl3_103 ),
inference(forward_demodulation,[],[f580,f741]) ).
fof(f4255,plain,
( ~ spl3_96
| spl3_60
| ~ spl3_108 ),
inference(avatar_split_clause,[],[f4119,f776,f544,f709]) ).
fof(f4220,plain,
( spl3_6
| ~ spl3_73
| ~ spl3_84
| ~ spl3_110 ),
inference(avatar_split_clause,[],[f4181,f805,f657,f609,f277]) ).
fof(f4181,plain,
( e2 = e3
| ~ spl3_73
| ~ spl3_84
| ~ spl3_110 ),
inference(forward_demodulation,[],[f3733,f658]) ).
fof(f4191,plain,
( spl3_6
| ~ spl3_62
| ~ spl3_93
| ~ spl3_100
| ~ spl3_108
| ~ spl3_116 ),
inference(avatar_split_clause,[],[f4180,f865,f776,f726,f696,f554,f277]) ).
fof(f4180,plain,
( e2 = e3
| ~ spl3_62
| ~ spl3_93
| ~ spl3_100
| ~ spl3_108
| ~ spl3_116 ),
inference(forward_demodulation,[],[f4179,f778]) ).
fof(f4179,plain,
( op(e0,e0) = e3
| ~ spl3_62
| ~ spl3_93
| ~ spl3_100
| ~ spl3_116 ),
inference(forward_demodulation,[],[f867,f4160]) ).
fof(f4151,plain,
( ~ spl3_115
| ~ spl3_75
| ~ spl3_93
| spl3_132 ),
inference(avatar_split_clause,[],[f4113,f1368,f696,f618,f848]) ).
fof(f4113,plain,
( e3 != op(e0,e3)
| ~ spl3_75
| ~ spl3_93
| spl3_132 ),
inference(forward_demodulation,[],[f1369,f3987]) ).
fof(f3987,plain,
( e0 = e1
| ~ spl3_75
| ~ spl3_93 ),
inference(superposition,[],[f697,f619]) ).
fof(f4122,plain,
( spl3_125
| ~ spl3_83
| ~ spl3_103
| ~ spl3_109 ),
inference(avatar_split_clause,[],[f4094,f780,f739,f653,f1152]) ).
fof(f4094,plain,
( e0 = op(e1,e0)
| ~ spl3_83
| ~ spl3_103
| ~ spl3_109 ),
inference(forward_demodulation,[],[f654,f4087]) ).
fof(f4087,plain,
( e0 = e2
| ~ spl3_103
| ~ spl3_109 ),
inference(superposition,[],[f741,f782]) ).
fof(f4093,plain,
( spl3_101
| ~ spl3_78
| ~ spl3_96
| ~ spl3_107 ),
inference(avatar_split_clause,[],[f4047,f766,f709,f631,f731]) ).
fof(f4047,plain,
( e0 = op(e0,e0)
| ~ spl3_78
| ~ spl3_96
| ~ spl3_107 ),
inference(forward_demodulation,[],[f768,f4043]) ).
fof(f4044,plain,
( spl3_1
| ~ spl3_102
| ~ spl3_106 ),
inference(avatar_split_clause,[],[f3962,f753,f735,f252]) ).
fof(f3962,plain,
( e0 = e1
| ~ spl3_102
| ~ spl3_106 ),
inference(superposition,[],[f737,f755]) ).
fof(f4035,plain,
( spl3_96
| ~ spl3_58
| ~ spl3_102
| ~ spl3_106
| ~ spl3_108 ),
inference(avatar_split_clause,[],[f4007,f776,f753,f735,f535,f709]) ).
fof(f4007,plain,
( e0 = op(e2,e2)
| ~ spl3_58
| ~ spl3_102
| ~ spl3_106
| ~ spl3_108 ),
inference(forward_demodulation,[],[f4006,f778]) ).
fof(f4006,plain,
( e0 = op(op(e0,e0),op(e0,e0))
| ~ spl3_58
| ~ spl3_102
| ~ spl3_106 ),
inference(forward_demodulation,[],[f537,f3962]) ).
fof(f3996,plain,
( spl3_3
| ~ spl3_61
| ~ spl3_73
| ~ spl3_118
| ~ spl3_132 ),
inference(avatar_split_clause,[],[f3596,f1368,f873,f609,f549,f262]) ).
fof(f3596,plain,
( e0 = e3
| ~ spl3_61
| ~ spl3_73
| ~ spl3_118
| ~ spl3_132 ),
inference(forward_demodulation,[],[f3481,f3496]) ).
fof(f3496,plain,
( e0 = op(e3,e3)
| ~ spl3_61
| ~ spl3_118 ),
inference(forward_demodulation,[],[f551,f875]) ).
fof(f3970,plain,
( spl3_93
| spl3_3
| spl3_2
| ~ spl3_118
| ~ spl3_131
| ~ spl3_133 ),
inference(avatar_split_clause,[],[f3941,f1377,f1271,f873,f257,f262,f696]) ).
fof(f3941,plain,
( e0 = e2
| e0 = e3
| e0 = op(e3,e3)
| ~ spl3_118
| ~ spl3_131
| ~ spl3_133 ),
inference(forward_demodulation,[],[f3775,f1273]) ).
fof(f3775,plain,
( e0 = e3
| e0 = op(e3,e3)
| e0 = op(e3,e1)
| ~ spl3_118
| ~ spl3_133 ),
inference(duplicate_literal_removal,[],[f3774]) ).
fof(f3774,plain,
( e0 = e3
| e0 = e3
| e0 = op(e3,e3)
| e0 = op(e3,e1)
| ~ spl3_118
| ~ spl3_133 ),
inference(forward_demodulation,[],[f2100,f875]) ).
fof(f2100,plain,
( e0 = e3
| e0 = op(e3,e3)
| e0 = op(e3,e1)
| e0 = op(e3,e0)
| ~ spl3_133 ),
inference(forward_demodulation,[],[f139,f1379]) ).
fof(f3937,plain,
( spl3_5
| ~ spl3_67
| ~ spl3_78
| ~ spl3_84
| ~ spl3_100
| ~ spl3_109 ),
inference(avatar_split_clause,[],[f3911,f780,f726,f657,f631,f579,f272]) ).
fof(f3911,plain,
( e1 = e3
| ~ spl3_67
| ~ spl3_78
| ~ spl3_84
| ~ spl3_100
| ~ spl3_109 ),
inference(forward_demodulation,[],[f3910,f3899]) ).
fof(f3899,plain,
( e1 = e2
| ~ spl3_67
| ~ spl3_78
| ~ spl3_109 ),
inference(forward_demodulation,[],[f3896,f632]) ).
fof(f3910,plain,
( e2 = e3
| ~ spl3_67
| ~ spl3_78
| ~ spl3_84
| ~ spl3_100
| ~ spl3_109 ),
inference(forward_demodulation,[],[f3909,f658]) ).
fof(f3909,plain,
( e3 = op(e1,e1)
| ~ spl3_67
| ~ spl3_78
| ~ spl3_100
| ~ spl3_109 ),
inference(forward_demodulation,[],[f727,f3899]) ).
fof(f3908,plain,
( spl3_3
| ~ spl3_104
| ~ spl3_115 ),
inference(avatar_split_clause,[],[f3875,f848,f743,f262]) ).
fof(f3875,plain,
( e0 = e3
| ~ spl3_104
| ~ spl3_115 ),
inference(superposition,[],[f745,f850]) ).
fof(f3907,plain,
( spl3_77
| spl3_127
| spl3_130
| spl3_100 ),
inference(avatar_split_clause,[],[f156,f726,f1267,f1177,f627]) ).
fof(f156,plain,
( e3 = op(e2,e1)
| e2 = op(e2,e1)
| e1 = op(e2,e1)
| e0 = op(e2,e1) ),
inference(cnf_transformation,[],[f1]) ).
fof(f1,axiom,
( ( e3 = op(e3,e3)
| e2 = op(e3,e3)
| e1 = op(e3,e3)
| e0 = op(e3,e3) )
& ( e3 = op(e3,e2)
| e2 = op(e3,e2)
| e1 = op(e3,e2)
| e0 = op(e3,e2) )
& ( e3 = op(e3,e1)
| e2 = op(e3,e1)
| e1 = op(e3,e1)
| e0 = op(e3,e1) )
& ( e3 = op(e3,e0)
| e2 = op(e3,e0)
| e1 = op(e3,e0)
| e0 = op(e3,e0) )
& ( e3 = op(e2,e3)
| e2 = op(e2,e3)
| e1 = op(e2,e3)
| e0 = op(e2,e3) )
& ( e3 = op(e2,e2)
| e2 = op(e2,e2)
| e1 = op(e2,e2)
| e0 = op(e2,e2) )
& ( e3 = op(e2,e1)
| e2 = op(e2,e1)
| e1 = op(e2,e1)
| e0 = op(e2,e1) )
& ( e3 = op(e2,e0)
| e2 = op(e2,e0)
| e1 = op(e2,e0)
| e0 = op(e2,e0) )
& ( e3 = op(e1,e3)
| e2 = op(e1,e3)
| e1 = op(e1,e3)
| e0 = op(e1,e3) )
& ( e3 = op(e1,e2)
| e2 = op(e1,e2)
| e1 = op(e1,e2)
| e0 = op(e1,e2) )
& ( e3 = op(e1,e1)
| e2 = op(e1,e1)
| e1 = op(e1,e1)
| e0 = op(e1,e1) )
& ( e3 = op(e1,e0)
| e2 = op(e1,e0)
| e1 = op(e1,e0)
| e0 = op(e1,e0) )
& ( e3 = op(e0,e3)
| e2 = op(e0,e3)
| e1 = op(e0,e3)
| e0 = op(e0,e3) )
& ( e3 = op(e0,e2)
| e2 = op(e0,e2)
| e1 = op(e0,e2)
| e0 = op(e0,e2) )
& ( e3 = op(e0,e1)
| e2 = op(e0,e1)
| e1 = op(e0,e1)
| e0 = op(e0,e1) )
& ( op(e0,e0) = e3
| op(e0,e0) = e2
| op(e0,e0) = e1
| e0 = op(e0,e0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax1) ).
fof(f3905,plain,
( spl3_137
| spl3_75
| spl3_5
| ~ spl3_118
| ~ spl3_133 ),
inference(avatar_split_clause,[],[f3772,f1377,f873,f272,f618,f3902]) ).
fof(f3772,plain,
( e1 = e3
| e1 = op(e3,e3)
| e1 = op(e3,e1)
| ~ spl3_118
| ~ spl3_133 ),
inference(duplicate_literal_removal,[],[f3771]) ).
fof(f3771,plain,
( e1 = e3
| e1 = e3
| e1 = op(e3,e3)
| e1 = op(e3,e1)
| ~ spl3_118
| ~ spl3_133 ),
inference(forward_demodulation,[],[f3238,f875]) ).
fof(f3238,plain,
( e1 = e3
| e1 = op(e3,e3)
| e1 = op(e3,e1)
| e1 = op(e3,e0)
| ~ spl3_133 ),
inference(forward_demodulation,[],[f141,f1379]) ).
fof(f3893,plain,
( spl3_109
| spl3_124
| spl3_4
| ~ spl3_65
| ~ spl3_84
| ~ spl3_129 ),
inference(avatar_split_clause,[],[f2906,f1194,f657,f569,f267,f1114,f780]) ).
fof(f2906,plain,
( e1 = e2
| e2 = op(e3,e2)
| e2 = op(e0,e2)
| ~ spl3_65
| ~ spl3_84
| ~ spl3_129 ),
inference(duplicate_literal_removal,[],[f2371]) ).
fof(f2371,plain,
( e1 = e2
| e1 = e2
| e2 = op(e3,e2)
| e2 = op(e0,e2)
| ~ spl3_65
| ~ spl3_84
| ~ spl3_129 ),
inference(forward_demodulation,[],[f1697,f1196]) ).
fof(f1697,plain,
( e1 = e2
| e2 = op(e3,e2)
| e2 = op(e1,e2)
| e2 = op(e0,e2)
| ~ spl3_65
| ~ spl3_84 ),
inference(forward_demodulation,[],[f136,f1317]) ).
fof(f3889,plain,
( spl3_75
| spl3_4
| spl3_5
| ~ spl3_118
| ~ spl3_131
| ~ spl3_133 ),
inference(avatar_split_clause,[],[f3847,f1377,f1271,f873,f272,f267,f618]) ).
fof(f3847,plain,
( e1 = e3
| e1 = e2
| e1 = op(e3,e3)
| ~ spl3_118
| ~ spl3_131
| ~ spl3_133 ),
inference(duplicate_literal_removal,[],[f3846]) ).
fof(f3846,plain,
( e1 = e3
| e1 = e2
| e1 = e3
| e1 = op(e3,e3)
| ~ spl3_118
| ~ spl3_131
| ~ spl3_133 ),
inference(forward_demodulation,[],[f2099,f875]) ).
fof(f2099,plain,
( e1 = e2
| e1 = e3
| e1 = op(e3,e3)
| e1 = op(e3,e0)
| ~ spl3_131
| ~ spl3_133 ),
inference(forward_demodulation,[],[f2098,f1273]) ).
fof(f2098,plain,
( e1 = e3
| e1 = op(e3,e3)
| e1 = op(e3,e1)
| e1 = op(e3,e0)
| ~ spl3_133 ),
inference(forward_demodulation,[],[f141,f1379]) ).
fof(f3882,plain,
( spl3_100
| spl3_6
| spl3_5
| ~ spl3_65
| ~ spl3_84
| ~ spl3_95
| ~ spl3_123 ),
inference(avatar_split_clause,[],[f3715,f1102,f705,f657,f569,f272,f277,f726]) ).
fof(f3715,plain,
( e1 = e3
| e2 = e3
| e3 = op(e2,e1)
| ~ spl3_65
| ~ spl3_84
| ~ spl3_95
| ~ spl3_123 ),
inference(duplicate_literal_removal,[],[f3714]) ).
fof(f3714,plain,
( e1 = e3
| e2 = e3
| e1 = e3
| e3 = op(e2,e1)
| ~ spl3_65
| ~ spl3_84
| ~ spl3_95
| ~ spl3_123 ),
inference(forward_demodulation,[],[f3713,f706]) ).
fof(f3713,plain,
( e2 = e3
| e1 = e3
| e3 = op(e2,e1)
| e3 = op(e2,e0)
| ~ spl3_65
| ~ spl3_84
| ~ spl3_123 ),
inference(forward_demodulation,[],[f2091,f1104]) ).
fof(f3870,plain,
( spl3_124
| spl3_4
| spl3_2
| ~ spl3_65
| ~ spl3_84
| ~ spl3_103
| ~ spl3_129 ),
inference(avatar_split_clause,[],[f2004,f1194,f739,f657,f569,f257,f267,f1114]) ).
fof(f2004,plain,
( e0 = e2
| e1 = e2
| e2 = op(e3,e2)
| ~ spl3_65
| ~ spl3_84
| ~ spl3_103
| ~ spl3_129 ),
inference(forward_demodulation,[],[f2003,f741]) ).
fof(f2003,plain,
( e1 = e2
| e2 = op(e3,e2)
| e2 = op(e0,e2)
| ~ spl3_65
| ~ spl3_84
| ~ spl3_129 ),
inference(duplicate_literal_removal,[],[f2002]) ).
fof(f2002,plain,
( e1 = e2
| e1 = e2
| e2 = op(e3,e2)
| e2 = op(e0,e2)
| ~ spl3_65
| ~ spl3_84
| ~ spl3_129 ),
inference(forward_demodulation,[],[f1697,f1196]) ).
fof(f3866,plain,
( ~ spl3_136
| spl3_72
| ~ spl3_73
| ~ spl3_132 ),
inference(avatar_split_clause,[],[f3845,f1368,f609,f604,f2462]) ).
fof(f3845,plain,
( e3 != op(e3,e3)
| spl3_72
| ~ spl3_73
| ~ spl3_132 ),
inference(forward_demodulation,[],[f605,f3481]) ).
fof(f3836,plain,
( spl3_122
| ~ spl3_73
| ~ spl3_81
| ~ spl3_132 ),
inference(avatar_split_clause,[],[f3780,f1368,f644,f609,f1026]) ).
fof(f3780,plain,
( e2 = op(e1,e2)
| ~ spl3_73
| ~ spl3_81
| ~ spl3_132 ),
inference(forward_demodulation,[],[f1370,f3777]) ).
fof(f3834,plain,
( spl3_128
| ~ spl3_63
| ~ spl3_106 ),
inference(avatar_split_clause,[],[f3750,f753,f559,f1190]) ).
fof(f3750,plain,
( e1 = op(e1,e1)
| ~ spl3_63
| ~ spl3_106 ),
inference(forward_demodulation,[],[f561,f755]) ).
fof(f3832,plain,
( ~ spl3_93
| spl3_61
| ~ spl3_118 ),
inference(avatar_split_clause,[],[f3725,f873,f549,f696]) ).
fof(f3725,plain,
( e0 != op(e3,e3)
| spl3_61
| ~ spl3_118 ),
inference(forward_demodulation,[],[f550,f875]) ).
fof(f3826,plain,
( spl3_78
| ~ spl3_65
| ~ spl3_84 ),
inference(avatar_split_clause,[],[f3701,f657,f569,f631]) ).
fof(f3758,plain,
( spl3_4
| ~ spl3_84
| ~ spl3_128 ),
inference(avatar_split_clause,[],[f3646,f1190,f657,f267]) ).
fof(f3646,plain,
( e1 = e2
| ~ spl3_84
| ~ spl3_128 ),
inference(superposition,[],[f1192,f658]) ).
fof(f3749,plain,
( spl3_4
| ~ spl3_65
| ~ spl3_73
| ~ spl3_81
| ~ spl3_84
| ~ spl3_110 ),
inference(avatar_split_clause,[],[f3748,f805,f657,f644,f609,f569,f267]) ).
fof(f3748,plain,
( e1 = e2
| ~ spl3_65
| ~ spl3_73
| ~ spl3_81
| ~ spl3_84
| ~ spl3_110 ),
inference(forward_demodulation,[],[f3747,f3701]) ).
fof(f3747,plain,
( e2 = op(e2,e2)
| ~ spl3_73
| ~ spl3_81
| ~ spl3_84
| ~ spl3_110 ),
inference(forward_demodulation,[],[f645,f3736]) ).
fof(f3736,plain,
( e2 = e3
| ~ spl3_73
| ~ spl3_84
| ~ spl3_110 ),
inference(forward_demodulation,[],[f3733,f658]) ).
fof(f3742,plain,
( spl3_81
| ~ spl3_69
| ~ spl3_97 ),
inference(avatar_split_clause,[],[f3689,f713,f589,f644]) ).
fof(f3689,plain,
( e2 = op(e3,e3)
| ~ spl3_69
| ~ spl3_97 ),
inference(forward_demodulation,[],[f591,f714]) ).
fof(f3740,plain,
( ~ spl3_87
| spl3_70
| ~ spl3_123 ),
inference(avatar_split_clause,[],[f3528,f1102,f594,f670]) ).
fof(f3528,plain,
( e3 != op(e2,e2)
| spl3_70
| ~ spl3_123 ),
inference(forward_demodulation,[],[f595,f1104]) ).
fof(f3738,plain,
( ~ spl3_136
| spl3_71
| ~ spl3_115 ),
inference(avatar_split_clause,[],[f1712,f848,f599,f2462]) ).
fof(f1712,plain,
( e3 != op(e3,e3)
| spl3_71
| ~ spl3_115 ),
inference(forward_demodulation,[],[f600,f850]) ).
fof(f3727,plain,
( spl3_5
| ~ spl3_110
| ~ spl3_132 ),
inference(avatar_split_clause,[],[f3722,f1368,f805,f272]) ).
fof(f3722,plain,
( e1 = e3
| ~ spl3_110
| ~ spl3_132 ),
inference(forward_demodulation,[],[f1370,f807]) ).
fof(f3704,plain,
( spl3_3
| ~ spl3_69
| ~ spl3_93
| ~ spl3_97
| ~ spl3_125 ),
inference(avatar_split_clause,[],[f3688,f1152,f713,f696,f589,f262]) ).
fof(f3688,plain,
( e0 = e3
| ~ spl3_69
| ~ spl3_93
| ~ spl3_97
| ~ spl3_125 ),
inference(forward_demodulation,[],[f2890,f1154]) ).
fof(f2890,plain,
( e3 = op(e1,e0)
| ~ spl3_69
| ~ spl3_93
| ~ spl3_97 ),
inference(forward_demodulation,[],[f714,f2802]) ).
fof(f2802,plain,
( e0 = e2
| ~ spl3_69
| ~ spl3_93
| ~ spl3_97 ),
inference(forward_demodulation,[],[f1546,f697]) ).
fof(f1546,plain,
( e2 = op(e3,e3)
| ~ spl3_69
| ~ spl3_97 ),
inference(superposition,[],[f591,f714]) ).
fof(f3673,plain,
( spl3_6
| ~ spl3_61
| ~ spl3_72
| ~ spl3_108
| ~ spl3_118 ),
inference(avatar_split_clause,[],[f3671,f873,f776,f604,f549,f277]) ).
fof(f3671,plain,
( e2 = e3
| ~ spl3_61
| ~ spl3_72
| ~ spl3_108
| ~ spl3_118 ),
inference(forward_demodulation,[],[f3597,f778]) ).
fof(f3597,plain,
( op(e0,e0) = e3
| ~ spl3_61
| ~ spl3_72
| ~ spl3_118 ),
inference(forward_demodulation,[],[f606,f3496]) ).
fof(f3657,plain,
( spl3_1
| ~ spl3_61
| ~ spl3_73
| ~ spl3_110
| ~ spl3_118
| ~ spl3_125
| ~ spl3_132 ),
inference(avatar_split_clause,[],[f3656,f1368,f1152,f873,f805,f609,f549,f252]) ).
fof(f3656,plain,
( e0 = e1
| ~ spl3_61
| ~ spl3_73
| ~ spl3_110
| ~ spl3_118
| ~ spl3_125
| ~ spl3_132 ),
inference(forward_demodulation,[],[f3655,f1154]) ).
fof(f3655,plain,
( e1 = op(e1,e0)
| ~ spl3_61
| ~ spl3_73
| ~ spl3_110
| ~ spl3_118
| ~ spl3_132 ),
inference(forward_demodulation,[],[f807,f3596]) ).
fof(f3654,plain,
( ~ spl3_128
| spl3_63
| ~ spl3_106 ),
inference(avatar_split_clause,[],[f3577,f753,f559,f1190]) ).
fof(f3577,plain,
( e1 != op(e1,e1)
| spl3_63
| ~ spl3_106 ),
inference(forward_demodulation,[],[f560,f755]) ).
fof(f3652,plain,
( spl3_93
| ~ spl3_61
| ~ spl3_118 ),
inference(avatar_split_clause,[],[f3496,f873,f549,f696]) ).
fof(f3594,plain,
( spl3_6
| ~ spl3_64
| ~ spl3_72
| ~ spl3_84
| ~ spl3_119 ),
inference(avatar_split_clause,[],[f3590,f898,f657,f604,f564,f277]) ).
fof(f3590,plain,
( e2 = e3
| ~ spl3_64
| ~ spl3_72
| ~ spl3_84
| ~ spl3_119 ),
inference(forward_demodulation,[],[f3589,f658]) ).
fof(f3586,plain,
( spl3_101
| ~ spl3_93
| ~ spl3_115
| ~ spl3_136 ),
inference(avatar_split_clause,[],[f3140,f2462,f848,f696,f731]) ).
fof(f3140,plain,
( e0 = op(e0,e0)
| ~ spl3_93
| ~ spl3_115
| ~ spl3_136 ),
inference(forward_demodulation,[],[f850,f2752]) ).
fof(f3561,plain,
( spl3_5
| ~ spl3_95
| ~ spl3_117 ),
inference(avatar_split_clause,[],[f3560,f869,f705,f272]) ).
fof(f3560,plain,
( e1 = e3
| ~ spl3_95
| ~ spl3_117 ),
inference(forward_demodulation,[],[f871,f706]) ).
fof(f3550,plain,
( spl3_3
| ~ spl3_71
| ~ spl3_93
| ~ spl3_115 ),
inference(avatar_split_clause,[],[f3184,f848,f696,f599,f262]) ).
fof(f3184,plain,
( e0 = e3
| ~ spl3_71
| ~ spl3_93
| ~ spl3_115 ),
inference(forward_demodulation,[],[f1580,f697]) ).
fof(f3538,plain,
( spl3_93
| ~ spl3_61
| ~ spl3_118 ),
inference(avatar_split_clause,[],[f3496,f873,f549,f696]) ).
fof(f3516,plain,
( spl3_6
| ~ spl3_68
| ~ spl3_87
| ~ spl3_124 ),
inference(avatar_split_clause,[],[f3512,f1114,f670,f584,f277]) ).
fof(f3512,plain,
( e2 = e3
| ~ spl3_68
| ~ spl3_87
| ~ spl3_124 ),
inference(forward_demodulation,[],[f671,f1464]) ).
fof(f3514,plain,
( spl3_5
| ~ spl3_64
| ~ spl3_66
| ~ spl3_68
| ~ spl3_87
| ~ spl3_119
| ~ spl3_124 ),
inference(avatar_split_clause,[],[f3513,f1114,f898,f670,f584,f574,f564,f272]) ).
fof(f3513,plain,
( e1 = e3
| ~ spl3_64
| ~ spl3_66
| ~ spl3_68
| ~ spl3_87
| ~ spl3_119
| ~ spl3_124 ),
inference(forward_demodulation,[],[f3512,f3501]) ).
fof(f3501,plain,
( e1 = e2
| ~ spl3_64
| ~ spl3_66
| ~ spl3_87
| ~ spl3_119 ),
inference(forward_demodulation,[],[f3380,f1141]) ).
fof(f3380,plain,
( e2 = op(e3,e3)
| ~ spl3_66
| ~ spl3_87 ),
inference(superposition,[],[f576,f671]) ).
fof(f3511,plain,
( spl3_87
| ~ spl3_70
| ~ spl3_123 ),
inference(avatar_split_clause,[],[f3374,f1102,f594,f670]) ).
fof(f3374,plain,
( e3 = op(e2,e2)
| ~ spl3_70
| ~ spl3_123 ),
inference(forward_demodulation,[],[f596,f1104]) ).
fof(f3500,plain,
( spl3_6
| ~ spl3_124
| ~ spl3_133 ),
inference(avatar_split_clause,[],[f3360,f1377,f1114,f277]) ).
fof(f3360,plain,
( e2 = e3
| ~ spl3_124
| ~ spl3_133 ),
inference(forward_demodulation,[],[f1379,f1116]) ).
fof(f3486,plain,
( spl3_6
| ~ spl3_113
| ~ spl3_118 ),
inference(avatar_split_clause,[],[f3462,f873,f830,f277]) ).
fof(f3462,plain,
( e2 = e3
| ~ spl3_113
| ~ spl3_118 ),
inference(superposition,[],[f875,f832]) ).
fof(f3424,plain,
( spl3_99
| ~ spl3_56
| ~ spl3_95 ),
inference(avatar_split_clause,[],[f910,f705,f526,f722]) ).
fof(f910,plain,
( e0 = op(e1,e1)
| ~ spl3_56
| ~ spl3_95 ),
inference(superposition,[],[f528,f706]) ).
fof(f3414,plain,
( spl3_119
| spl3_6
| spl3_5
| ~ spl3_84
| ~ spl3_106
| ~ spl3_127 ),
inference(avatar_split_clause,[],[f3103,f1177,f753,f657,f272,f277,f898]) ).
fof(f3103,plain,
( e1 = e3
| e2 = e3
| e3 = op(e3,e1)
| ~ spl3_84
| ~ spl3_106
| ~ spl3_127 ),
inference(duplicate_literal_removal,[],[f1686]) ).
fof(f1686,plain,
( e1 = e3
| e2 = e3
| e1 = e3
| e3 = op(e3,e1)
| ~ spl3_84
| ~ spl3_106
| ~ spl3_127 ),
inference(forward_demodulation,[],[f1536,f755]) ).
fof(f1536,plain,
( e2 = e3
| e1 = e3
| e3 = op(e3,e1)
| e3 = op(e0,e1)
| ~ spl3_84
| ~ spl3_127 ),
inference(forward_demodulation,[],[f1535,f658]) ).
fof(f3408,plain,
( ~ spl3_93
| spl3_58
| ~ spl3_116 ),
inference(avatar_split_clause,[],[f3195,f865,f535,f696]) ).
fof(f3195,plain,
( e0 != op(e3,e3)
| spl3_58
| ~ spl3_116 ),
inference(forward_demodulation,[],[f536,f867]) ).
fof(f3365,plain,
( spl3_2
| ~ spl3_96
| ~ spl3_123
| ~ spl3_124
| ~ spl3_133 ),
inference(avatar_split_clause,[],[f3317,f1377,f1114,f1102,f709,f257]) ).
fof(f3317,plain,
( e0 = e2
| ~ spl3_96
| ~ spl3_123
| ~ spl3_124
| ~ spl3_133 ),
inference(forward_demodulation,[],[f2626,f710]) ).
fof(f2626,plain,
( e2 = op(e2,e2)
| ~ spl3_123
| ~ spl3_124
| ~ spl3_133 ),
inference(forward_demodulation,[],[f1104,f2580]) ).
fof(f2580,plain,
( e2 = e3
| ~ spl3_124
| ~ spl3_133 ),
inference(superposition,[],[f1116,f1379]) ).
fof(f3338,plain,
( spl3_3
| ~ spl3_87
| ~ spl3_96 ),
inference(avatar_split_clause,[],[f3337,f709,f670,f262]) ).
fof(f3337,plain,
( e0 = e3
| ~ spl3_87
| ~ spl3_96 ),
inference(forward_demodulation,[],[f671,f710]) ).
fof(f3324,plain,
( spl3_2
| ~ spl3_73
| ~ spl3_96
| ~ spl3_122
| ~ spl3_124
| ~ spl3_133 ),
inference(avatar_split_clause,[],[f3316,f1377,f1114,f1026,f709,f609,f257]) ).
fof(f3316,plain,
( e0 = e2
| ~ spl3_73
| ~ spl3_96
| ~ spl3_122
| ~ spl3_124
| ~ spl3_133 ),
inference(forward_demodulation,[],[f3315,f710]) ).
fof(f3315,plain,
( e2 = op(e2,e2)
| ~ spl3_73
| ~ spl3_122
| ~ spl3_124
| ~ spl3_133 ),
inference(forward_demodulation,[],[f2630,f1028]) ).
fof(f2630,plain,
( e2 = op(op(e1,e2),op(e1,e2))
| ~ spl3_73
| ~ spl3_124
| ~ spl3_133 ),
inference(forward_demodulation,[],[f611,f2580]) ).
fof(f3309,plain,
( spl3_6
| ~ spl3_81
| ~ spl3_136 ),
inference(avatar_split_clause,[],[f3301,f2462,f644,f277]) ).
fof(f3301,plain,
( e2 = e3
| ~ spl3_81
| ~ spl3_136 ),
inference(forward_demodulation,[],[f2464,f645]) ).
fof(f3303,plain,
( spl3_5
| ~ spl3_81
| ~ spl3_95
| ~ spl3_112
| ~ spl3_136 ),
inference(avatar_split_clause,[],[f3302,f2462,f826,f705,f644,f272]) ).
fof(f3302,plain,
( e1 = e3
| ~ spl3_81
| ~ spl3_95
| ~ spl3_112
| ~ spl3_136 ),
inference(forward_demodulation,[],[f3301,f3260]) ).
fof(f3300,plain,
( spl3_136
| ~ spl3_71
| ~ spl3_115 ),
inference(avatar_split_clause,[],[f1580,f848,f599,f2462]) ).
fof(f3221,plain,
( spl3_2
| ~ spl3_81
| ~ spl3_93 ),
inference(avatar_split_clause,[],[f3183,f696,f644,f257]) ).
fof(f3183,plain,
( e0 = e2
| ~ spl3_81
| ~ spl3_93 ),
inference(forward_demodulation,[],[f645,f697]) ).
fof(f3197,plain,
( spl3_4
| ~ spl3_122
| ~ spl3_129 ),
inference(avatar_split_clause,[],[f3137,f1194,f1026,f267]) ).
fof(f3137,plain,
( e1 = e2
| ~ spl3_122
| ~ spl3_129 ),
inference(forward_demodulation,[],[f1028,f1196]) ).
fof(f3100,plain,
( spl3_5
| ~ spl3_79
| ~ spl3_82
| ~ spl3_123
| ~ spl3_135 ),
inference(avatar_split_clause,[],[f3099,f2114,f1102,f648,f635,f272]) ).
fof(f3099,plain,
( e1 = e3
| ~ spl3_79
| ~ spl3_82
| ~ spl3_123
| ~ spl3_135 ),
inference(forward_demodulation,[],[f636,f2356]) ).
fof(f2356,plain,
( e1 = op(e0,e2)
| ~ spl3_82
| ~ spl3_123
| ~ spl3_135 ),
inference(forward_demodulation,[],[f649,f2132]) ).
fof(f3062,plain,
( spl3_1
| ~ spl3_82
| ~ spl3_103
| ~ spl3_123
| ~ spl3_135 ),
inference(avatar_split_clause,[],[f2357,f2114,f1102,f739,f648,f252]) ).
fof(f2357,plain,
( e0 = e1
| ~ spl3_82
| ~ spl3_103
| ~ spl3_123
| ~ spl3_135 ),
inference(forward_demodulation,[],[f2356,f741]) ).
fof(f2980,plain,
( spl3_1
| ~ spl3_107
| ~ spl3_125 ),
inference(avatar_split_clause,[],[f2978,f1152,f766,f252]) ).
fof(f2978,plain,
( e0 = e1
| ~ spl3_107
| ~ spl3_125 ),
inference(forward_demodulation,[],[f768,f1154]) ).
fof(f2966,plain,
( spl3_5
| spl3_6
| spl3_3
| ~ spl3_65
| ~ spl3_84
| ~ spl3_120
| ~ spl3_123
| ~ spl3_127 ),
inference(avatar_split_clause,[],[f2691,f1177,f1102,f944,f657,f569,f262,f277,f272]) ).
fof(f2691,plain,
( e0 = e3
| e2 = e3
| e1 = e3
| ~ spl3_65
| ~ spl3_84
| ~ spl3_120
| ~ spl3_123
| ~ spl3_127 ),
inference(forward_demodulation,[],[f2690,f946]) ).
fof(f2690,plain,
( e2 = e3
| e1 = e3
| e3 = op(e2,e0)
| ~ spl3_65
| ~ spl3_84
| ~ spl3_123
| ~ spl3_127 ),
inference(forward_demodulation,[],[f2093,f1104]) ).
fof(f2093,plain,
( e1 = e3
| e3 = op(e2,e3)
| e3 = op(e2,e0)
| ~ spl3_65
| ~ spl3_84
| ~ spl3_127 ),
inference(duplicate_literal_removal,[],[f2092]) ).
fof(f2092,plain,
( e1 = e3
| e1 = e3
| e3 = op(e2,e3)
| e3 = op(e2,e0)
| ~ spl3_65
| ~ spl3_84
| ~ spl3_127 ),
inference(forward_demodulation,[],[f2091,f1179]) ).
fof(f2904,plain,
( spl3_5
| spl3_3
| ~ spl3_65
| ~ spl3_69
| ~ spl3_84
| ~ spl3_93
| ~ spl3_97
| ~ spl3_120
| ~ spl3_123
| ~ spl3_127 ),
inference(avatar_split_clause,[],[f2872,f1177,f1102,f944,f713,f696,f657,f589,f569,f262,f272]) ).
fof(f2872,plain,
( e0 = e3
| e1 = e3
| ~ spl3_65
| ~ spl3_69
| ~ spl3_84
| ~ spl3_93
| ~ spl3_97
| ~ spl3_120
| ~ spl3_123
| ~ spl3_127 ),
inference(duplicate_literal_removal,[],[f2871]) ).
fof(f2871,plain,
( e0 = e3
| e0 = e3
| e1 = e3
| ~ spl3_65
| ~ spl3_69
| ~ spl3_84
| ~ spl3_93
| ~ spl3_97
| ~ spl3_120
| ~ spl3_123
| ~ spl3_127 ),
inference(forward_demodulation,[],[f2691,f2802]) ).
fof(f2862,plain,
( spl3_5
| ~ spl3_97
| ~ spl3_129 ),
inference(avatar_split_clause,[],[f2806,f1194,f713,f272]) ).
fof(f2806,plain,
( e1 = e3
| ~ spl3_97
| ~ spl3_129 ),
inference(forward_demodulation,[],[f714,f1196]) ).
fof(f2816,plain,
( spl3_1
| ~ spl3_93
| ~ spl3_97
| ~ spl3_129
| ~ spl3_136 ),
inference(avatar_split_clause,[],[f2807,f2462,f1194,f713,f696,f252]) ).
fof(f2807,plain,
( e0 = e1
| ~ spl3_93
| ~ spl3_97
| ~ spl3_129
| ~ spl3_136 ),
inference(forward_demodulation,[],[f2806,f2752]) ).
fof(f2763,plain,
( ~ spl3_92
| ~ spl3_79
| ~ spl3_108 ),
inference(avatar_split_clause,[],[f2713,f776,f635,f692]) ).
fof(f2713,plain,
( e1 != op(e3,e0)
| ~ spl3_79
| ~ spl3_108 ),
inference(trivial_inequality_removal,[],[f2712]) ).
fof(f2712,plain,
( e3 != e3
| e1 != op(e3,e0)
| ~ spl3_79
| ~ spl3_108 ),
inference(forward_demodulation,[],[f1527,f636]) ).
fof(f1527,plain,
( e1 != op(e3,e0)
| e3 != op(e0,e2)
| ~ spl3_108 ),
inference(trivial_inequality_removal,[],[f1526]) ).
fof(f1526,plain,
( e2 != e2
| e1 != op(e3,e0)
| e3 != op(e0,e2)
| ~ spl3_108 ),
inference(forward_demodulation,[],[f250,f778]) ).
fof(f250,plain,
( e1 != op(e3,e0)
| op(e0,e0) != e2
| e3 != op(e0,e2) ),
inference(inner_rewriting,[],[f249]) ).
fof(f249,plain,
( e1 != op(op(e0,e2),e0)
| op(e0,e0) != e2
| e3 != op(e0,e2) ),
inference(inner_rewriting,[],[f202]) ).
fof(f202,plain,
( e1 != op(op(e0,op(e0,e0)),e0)
| op(e0,e0) != e2
| e3 != op(e0,op(e0,e0)) ),
inference(cnf_transformation,[],[f53]) ).
fof(f53,plain,
( e1 != op(op(e0,op(e0,e0)),e0)
| op(e0,e0) != e2
| e3 != op(e0,op(e0,e0)) ),
inference(ennf_transformation,[],[f29]) ).
fof(f29,axiom,
~ ( e1 = op(op(e0,op(e0,e0)),e0)
& op(e0,e0) = e2
& e3 = op(e0,op(e0,e0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax29) ).
fof(f2751,plain,
( spl3_93
| ~ spl3_58
| ~ spl3_116 ),
inference(avatar_split_clause,[],[f2636,f865,f535,f696]) ).
fof(f2636,plain,
( e0 = op(e3,e3)
| ~ spl3_58
| ~ spl3_116 ),
inference(forward_demodulation,[],[f537,f867]) ).
fof(f2748,plain,
( spl3_2
| ~ spl3_58
| ~ spl3_67
| ~ spl3_79
| ~ spl3_116 ),
inference(avatar_split_clause,[],[f2725,f865,f635,f579,f535,f257]) ).
fof(f2725,plain,
( e0 = e2
| ~ spl3_58
| ~ spl3_67
| ~ spl3_79
| ~ spl3_116 ),
inference(forward_demodulation,[],[f2720,f2636]) ).
fof(f2709,plain,
( spl3_4
| ~ spl3_65
| ~ spl3_84
| ~ spl3_123
| ~ spl3_124
| ~ spl3_133 ),
inference(avatar_split_clause,[],[f2627,f1377,f1114,f1102,f657,f569,f267]) ).
fof(f2627,plain,
( e1 = e2
| ~ spl3_65
| ~ spl3_84
| ~ spl3_123
| ~ spl3_124
| ~ spl3_133 ),
inference(forward_demodulation,[],[f2626,f1317]) ).
fof(f2687,plain,
( spl3_2
| ~ spl3_58
| ~ spl3_81
| ~ spl3_116 ),
inference(avatar_split_clause,[],[f2656,f865,f644,f535,f257]) ).
fof(f2656,plain,
( e0 = e2
| ~ spl3_58
| ~ spl3_81
| ~ spl3_116 ),
inference(forward_demodulation,[],[f645,f2636]) ).
fof(f2657,plain,
( spl3_6
| ~ spl3_73
| ~ spl3_82
| ~ spl3_84
| ~ spl3_104 ),
inference(avatar_split_clause,[],[f2641,f743,f657,f648,f609,f277]) ).
fof(f2641,plain,
( e2 = e3
| ~ spl3_73
| ~ spl3_82
| ~ spl3_84
| ~ spl3_104 ),
inference(forward_demodulation,[],[f2640,f658]) ).
fof(f2640,plain,
( e3 = op(e1,e1)
| ~ spl3_73
| ~ spl3_82
| ~ spl3_104 ),
inference(forward_demodulation,[],[f2639,f649]) ).
fof(f2639,plain,
( e3 = op(op(e0,e3),op(e0,e3))
| ~ spl3_73
| ~ spl3_82
| ~ spl3_104 ),
inference(forward_demodulation,[],[f611,f2574]) ).
fof(f2638,plain,
( spl3_2
| ~ spl3_65
| ~ spl3_82
| ~ spl3_84
| ~ spl3_104
| ~ spl3_124
| ~ spl3_129
| ~ spl3_133 ),
inference(avatar_split_clause,[],[f2614,f1377,f1194,f1114,f743,f657,f648,f569,f257]) ).
fof(f2614,plain,
( e0 = e2
| ~ spl3_65
| ~ spl3_82
| ~ spl3_84
| ~ spl3_104
| ~ spl3_124
| ~ spl3_129
| ~ spl3_133 ),
inference(duplicate_literal_removal,[],[f2613]) ).
fof(f2613,plain,
( e0 = e2
| e0 = e2
| ~ spl3_65
| ~ spl3_82
| ~ spl3_84
| ~ spl3_104
| ~ spl3_124
| ~ spl3_129
| ~ spl3_133 ),
inference(forward_demodulation,[],[f2612,f2574]) ).
fof(f2612,plain,
( e1 = e2
| e0 = e2
| ~ spl3_65
| ~ spl3_82
| ~ spl3_84
| ~ spl3_104
| ~ spl3_124
| ~ spl3_129
| ~ spl3_133 ),
inference(forward_demodulation,[],[f2611,f649]) ).
fof(f2611,plain,
( e0 = e2
| e2 = op(e0,e3)
| ~ spl3_65
| ~ spl3_82
| ~ spl3_84
| ~ spl3_104
| ~ spl3_124
| ~ spl3_129
| ~ spl3_133 ),
inference(duplicate_literal_removal,[],[f2610]) ).
fof(f2610,plain,
( e0 = e2
| e0 = e2
| e2 = op(e0,e3)
| ~ spl3_65
| ~ spl3_82
| ~ spl3_84
| ~ spl3_104
| ~ spl3_124
| ~ spl3_129
| ~ spl3_133 ),
inference(forward_demodulation,[],[f2609,f2574]) ).
fof(f2609,plain,
( e1 = e2
| e0 = e2
| e2 = op(e0,e3)
| ~ spl3_65
| ~ spl3_82
| ~ spl3_84
| ~ spl3_104
| ~ spl3_124
| ~ spl3_129
| ~ spl3_133 ),
inference(forward_demodulation,[],[f2608,f1196]) ).
fof(f2608,plain,
( e2 = op(e1,e2)
| e0 = e2
| e2 = op(e0,e3)
| ~ spl3_65
| ~ spl3_82
| ~ spl3_84
| ~ spl3_104
| ~ spl3_124
| ~ spl3_133 ),
inference(forward_demodulation,[],[f2607,f2580]) ).
fof(f2607,plain,
( e0 = e2
| e2 = op(e1,e3)
| e2 = op(e0,e3)
| ~ spl3_65
| ~ spl3_82
| ~ spl3_84
| ~ spl3_104
| ~ spl3_124
| ~ spl3_133 ),
inference(duplicate_literal_removal,[],[f2606]) ).
fof(f2606,plain,
( e0 = e2
| e0 = e2
| e2 = op(e1,e3)
| e2 = op(e0,e3)
| ~ spl3_65
| ~ spl3_82
| ~ spl3_84
| ~ spl3_104
| ~ spl3_124
| ~ spl3_133 ),
inference(forward_demodulation,[],[f2605,f2574]) ).
fof(f2605,plain,
( e1 = e2
| e0 = e2
| e2 = op(e1,e3)
| e2 = op(e0,e3)
| ~ spl3_65
| ~ spl3_82
| ~ spl3_84
| ~ spl3_104
| ~ spl3_124
| ~ spl3_133 ),
inference(forward_demodulation,[],[f2604,f1317]) ).
fof(f2604,plain,
( e2 = op(e2,e2)
| e0 = e2
| e2 = op(e1,e3)
| e2 = op(e0,e3)
| ~ spl3_65
| ~ spl3_82
| ~ spl3_84
| ~ spl3_104
| ~ spl3_124
| ~ spl3_133 ),
inference(forward_demodulation,[],[f2603,f2580]) ).
fof(f2603,plain,
( e0 = e2
| e2 = op(e2,e3)
| e2 = op(e1,e3)
| e2 = op(e0,e3)
| ~ spl3_65
| ~ spl3_82
| ~ spl3_84
| ~ spl3_104
| ~ spl3_124
| ~ spl3_133 ),
inference(forward_demodulation,[],[f2602,f2574]) ).
fof(f2602,plain,
( e1 = e2
| e2 = op(e2,e3)
| e2 = op(e1,e3)
| e2 = op(e0,e3)
| ~ spl3_65
| ~ spl3_84
| ~ spl3_124
| ~ spl3_133 ),
inference(forward_demodulation,[],[f2601,f1317]) ).
fof(f2601,plain,
( e2 = op(e2,e2)
| e2 = op(e2,e3)
| e2 = op(e1,e3)
| e2 = op(e0,e3)
| ~ spl3_124
| ~ spl3_133 ),
inference(forward_demodulation,[],[f144,f2580]) ).
fof(f2598,plain,
( spl3_2
| ~ spl3_112
| ~ spl3_120 ),
inference(avatar_split_clause,[],[f2597,f944,f826,f257]) ).
fof(f2597,plain,
( e0 = e2
| ~ spl3_112
| ~ spl3_120 ),
inference(forward_demodulation,[],[f828,f946]) ).
fof(f2596,plain,
( spl3_112
| spl3_123
| spl3_4
| ~ spl3_65
| ~ spl3_84
| ~ spl3_127 ),
inference(avatar_split_clause,[],[f1530,f1177,f657,f569,f267,f1102,f826]) ).
fof(f1530,plain,
( e1 = e2
| e2 = op(e2,e3)
| e2 = op(e2,e0)
| ~ spl3_65
| ~ spl3_84
| ~ spl3_127 ),
inference(duplicate_literal_removal,[],[f1529]) ).
fof(f1529,plain,
( e1 = e2
| e1 = e2
| e2 = op(e2,e3)
| e2 = op(e2,e0)
| ~ spl3_65
| ~ spl3_84
| ~ spl3_127 ),
inference(forward_demodulation,[],[f1507,f1179]) ).
fof(f2557,plain,
( spl3_5
| ~ spl3_71
| ~ spl3_79
| ~ spl3_82
| ~ spl3_84 ),
inference(avatar_split_clause,[],[f2553,f657,f648,f635,f599,f272]) ).
fof(f2553,plain,
( e1 = e3
| ~ spl3_71
| ~ spl3_79
| ~ spl3_82
| ~ spl3_84 ),
inference(forward_demodulation,[],[f636,f2499]) ).
fof(f2499,plain,
( e1 = op(e0,e2)
| ~ spl3_71
| ~ spl3_82
| ~ spl3_84 ),
inference(forward_demodulation,[],[f649,f2355]) ).
fof(f2355,plain,
( e2 = e3
| ~ spl3_71
| ~ spl3_82
| ~ spl3_84 ),
inference(forward_demodulation,[],[f1831,f658]) ).
fof(f1831,plain,
( e3 = op(e1,e1)
| ~ spl3_71
| ~ spl3_82 ),
inference(superposition,[],[f601,f649]) ).
fof(f2501,plain,
( spl3_1
| ~ spl3_71
| ~ spl3_82
| ~ spl3_84
| ~ spl3_103 ),
inference(avatar_split_clause,[],[f2500,f739,f657,f648,f599,f252]) ).
fof(f2500,plain,
( e0 = e1
| ~ spl3_71
| ~ spl3_82
| ~ spl3_84
| ~ spl3_103 ),
inference(forward_demodulation,[],[f2499,f741]) ).
fof(f2482,plain,
( spl3_5
| spl3_6
| ~ spl3_84
| ~ spl3_106
| ~ spl3_127
| ~ spl3_131 ),
inference(avatar_split_clause,[],[f2408,f1271,f1177,f753,f657,f277,f272]) ).
fof(f2408,plain,
( e2 = e3
| e1 = e3
| ~ spl3_84
| ~ spl3_106
| ~ spl3_127
| ~ spl3_131 ),
inference(duplicate_literal_removal,[],[f2407]) ).
fof(f2407,plain,
( e2 = e3
| e1 = e3
| e2 = e3
| ~ spl3_84
| ~ spl3_106
| ~ spl3_127
| ~ spl3_131 ),
inference(forward_demodulation,[],[f2364,f1273]) ).
fof(f2364,plain,
( e1 = e3
| e2 = e3
| e3 = op(e3,e1)
| ~ spl3_84
| ~ spl3_106
| ~ spl3_127 ),
inference(duplicate_literal_removal,[],[f1686]) ).
fof(f2466,plain,
( spl3_96
| ~ spl3_60
| ~ spl3_108 ),
inference(avatar_split_clause,[],[f2252,f776,f544,f709]) ).
fof(f2252,plain,
( e0 = op(e2,e2)
| ~ spl3_60
| ~ spl3_108 ),
inference(forward_demodulation,[],[f546,f778]) ).
fof(f2465,plain,
( spl3_136
| ~ spl3_71
| ~ spl3_115 ),
inference(avatar_split_clause,[],[f1580,f848,f599,f2462]) ).
fof(f2405,plain,
( spl3_3
| ~ spl3_118
| ~ spl3_121 ),
inference(avatar_split_clause,[],[f2386,f948,f873,f262]) ).
fof(f2386,plain,
( e0 = e3
| ~ spl3_118
| ~ spl3_121 ),
inference(forward_demodulation,[],[f875,f950]) ).
fof(f2363,plain,
( spl3_4
| ~ spl3_65
| ~ spl3_84
| ~ spl3_123
| ~ spl3_124
| ~ spl3_135 ),
inference(avatar_split_clause,[],[f2324,f2114,f1114,f1102,f657,f569,f267]) ).
fof(f2324,plain,
( e1 = e2
| ~ spl3_65
| ~ spl3_84
| ~ spl3_123
| ~ spl3_124
| ~ spl3_135 ),
inference(forward_demodulation,[],[f2323,f1317]) ).
fof(f2323,plain,
( e2 = op(e2,e2)
| ~ spl3_123
| ~ spl3_124
| ~ spl3_135 ),
inference(forward_demodulation,[],[f1116,f2132]) ).
fof(f2254,plain,
( spl3_2
| ~ spl3_103
| ~ spl3_115
| ~ spl3_123
| ~ spl3_135 ),
inference(avatar_split_clause,[],[f2193,f2114,f1102,f848,f739,f257]) ).
fof(f2193,plain,
( e0 = e2
| ~ spl3_103
| ~ spl3_115
| ~ spl3_123
| ~ spl3_135 ),
inference(forward_demodulation,[],[f2192,f741]) ).
fof(f2192,plain,
( e2 = op(e0,e2)
| ~ spl3_115
| ~ spl3_123
| ~ spl3_135 ),
inference(forward_demodulation,[],[f850,f2132]) ).
fof(f2198,plain,
( spl3_4
| ~ spl3_95
| ~ spl3_118
| ~ spl3_123
| ~ spl3_135 ),
inference(avatar_split_clause,[],[f2156,f2114,f1102,f873,f705,f267]) ).
fof(f2156,plain,
( e1 = e2
| ~ spl3_95
| ~ spl3_118
| ~ spl3_123
| ~ spl3_135 ),
inference(forward_demodulation,[],[f2155,f706]) ).
fof(f2155,plain,
( e2 = op(e2,e0)
| ~ spl3_118
| ~ spl3_123
| ~ spl3_135 ),
inference(forward_demodulation,[],[f875,f2132]) ).
fof(f2158,plain,
( spl3_4
| ~ spl3_123
| ~ spl3_129
| ~ spl3_132
| ~ spl3_135 ),
inference(avatar_split_clause,[],[f2153,f2114,f1368,f1194,f1102,f267]) ).
fof(f2153,plain,
( e1 = e2
| ~ spl3_123
| ~ spl3_129
| ~ spl3_132
| ~ spl3_135 ),
inference(forward_demodulation,[],[f2152,f1196]) ).
fof(f2152,plain,
( e2 = op(e1,e2)
| ~ spl3_123
| ~ spl3_132
| ~ spl3_135 ),
inference(forward_demodulation,[],[f1370,f2132]) ).
fof(f2143,plain,
( spl3_1
| ~ spl3_95
| ~ spl3_120 ),
inference(avatar_split_clause,[],[f2103,f944,f705,f252]) ).
fof(f2103,plain,
( e0 = e1
| ~ spl3_95
| ~ spl3_120 ),
inference(superposition,[],[f946,f706]) ).
fof(f2128,plain,
( spl3_123
| spl3_4
| ~ spl3_65
| ~ spl3_84
| ~ spl3_95
| ~ spl3_127 ),
inference(avatar_split_clause,[],[f2097,f1177,f705,f657,f569,f267,f1102]) ).
fof(f2097,plain,
( e1 = e2
| e2 = op(e2,e3)
| ~ spl3_65
| ~ spl3_84
| ~ spl3_95
| ~ spl3_127 ),
inference(duplicate_literal_removal,[],[f2096]) ).
fof(f2096,plain,
( e1 = e2
| e1 = e2
| e2 = op(e2,e3)
| ~ spl3_65
| ~ spl3_84
| ~ spl3_95
| ~ spl3_127 ),
inference(forward_demodulation,[],[f1530,f706]) ).
fof(f2117,plain,
( spl3_135
| spl3_5
| ~ spl3_65
| ~ spl3_84
| ~ spl3_95
| ~ spl3_127 ),
inference(avatar_split_clause,[],[f2095,f1177,f705,f657,f569,f272,f2114]) ).
fof(f2095,plain,
( e1 = e3
| e3 = op(e2,e3)
| ~ spl3_65
| ~ spl3_84
| ~ spl3_95
| ~ spl3_127 ),
inference(duplicate_literal_removal,[],[f2094]) ).
fof(f2094,plain,
( e1 = e3
| e1 = e3
| e3 = op(e2,e3)
| ~ spl3_65
| ~ spl3_84
| ~ spl3_95
| ~ spl3_127 ),
inference(forward_demodulation,[],[f2093,f706]) ).
fof(f2112,plain,
( ~ spl3_96
| spl3_60
| ~ spl3_108 ),
inference(avatar_split_clause,[],[f1894,f776,f544,f709]) ).
fof(f1894,plain,
( e0 != op(e2,e2)
| spl3_60
| ~ spl3_108 ),
inference(forward_demodulation,[],[f545,f778]) ).
fof(f2082,plain,
( spl3_101
| ~ spl3_61
| ~ spl3_121 ),
inference(avatar_split_clause,[],[f1716,f948,f549,f731]) ).
fof(f1716,plain,
( e0 = op(e0,e0)
| ~ spl3_61
| ~ spl3_121 ),
inference(forward_demodulation,[],[f551,f950]) ).
fof(f2044,plain,
( spl3_4
| ~ spl3_71
| ~ spl3_82
| ~ spl3_84
| ~ spl3_127
| ~ spl3_131 ),
inference(avatar_split_clause,[],[f2041,f1271,f1177,f657,f648,f599,f267]) ).
fof(f2041,plain,
( e1 = e2
| ~ spl3_71
| ~ spl3_82
| ~ spl3_84
| ~ spl3_127
| ~ spl3_131 ),
inference(forward_demodulation,[],[f2040,f1179]) ).
fof(f2040,plain,
( e2 = op(e2,e1)
| ~ spl3_71
| ~ spl3_82
| ~ spl3_84
| ~ spl3_131 ),
inference(forward_demodulation,[],[f1273,f1832]) ).
fof(f1832,plain,
( e2 = e3
| ~ spl3_71
| ~ spl3_82
| ~ spl3_84 ),
inference(forward_demodulation,[],[f1831,f658]) ).
fof(f2025,plain,
( spl3_5
| ~ spl3_65
| ~ spl3_72
| ~ spl3_81
| ~ spl3_84 ),
inference(avatar_split_clause,[],[f2007,f657,f644,f604,f569,f272]) ).
fof(f2007,plain,
( e1 = e3
| ~ spl3_65
| ~ spl3_72
| ~ spl3_81
| ~ spl3_84 ),
inference(forward_demodulation,[],[f2006,f1317]) ).
fof(f2001,plain,
( spl3_5
| ~ spl3_82
| ~ spl3_115 ),
inference(avatar_split_clause,[],[f1958,f848,f648,f272]) ).
fof(f1958,plain,
( e1 = e3
| ~ spl3_82
| ~ spl3_115 ),
inference(forward_demodulation,[],[f850,f649]) ).
fof(f1973,plain,
( spl3_4
| ~ spl3_65
| ~ spl3_68
| ~ spl3_84
| ~ spl3_124 ),
inference(avatar_split_clause,[],[f1467,f1114,f657,f584,f569,f267]) ).
fof(f1467,plain,
( e1 = e2
| ~ spl3_65
| ~ spl3_68
| ~ spl3_84
| ~ spl3_124 ),
inference(forward_demodulation,[],[f1464,f1317]) ).
fof(f1931,plain,
( spl3_6
| ~ spl3_63
| ~ spl3_72
| ~ spl3_84
| ~ spl3_85 ),
inference(avatar_split_clause,[],[f1891,f661,f657,f604,f559,f277]) ).
fof(f1891,plain,
( e2 = e3
| ~ spl3_63
| ~ spl3_72
| ~ spl3_84
| ~ spl3_85 ),
inference(forward_demodulation,[],[f1890,f658]) ).
fof(f1890,plain,
( e3 = op(e1,e1)
| ~ spl3_63
| ~ spl3_72
| ~ spl3_85 ),
inference(forward_demodulation,[],[f606,f861]) ).
fof(f1923,plain,
( spl3_5
| ~ spl3_65
| ~ spl3_84
| ~ spl3_87 ),
inference(avatar_split_clause,[],[f1889,f670,f657,f569,f272]) ).
fof(f1889,plain,
( e1 = e3
| ~ spl3_65
| ~ spl3_84
| ~ spl3_87 ),
inference(forward_demodulation,[],[f671,f1317]) ).
fof(f1895,plain,
( spl3_4
| ~ spl3_63
| ~ spl3_81
| ~ spl3_85 ),
inference(avatar_split_clause,[],[f1865,f661,f644,f559,f267]) ).
fof(f1865,plain,
( e1 = e2
| ~ spl3_63
| ~ spl3_81
| ~ spl3_85 ),
inference(forward_demodulation,[],[f645,f861]) ).
fof(f1862,plain,
( spl3_5
| ~ spl3_107
| ~ spl3_116 ),
inference(avatar_split_clause,[],[f1826,f865,f766,f272]) ).
fof(f1826,plain,
( e1 = e3
| ~ spl3_107
| ~ spl3_116 ),
inference(superposition,[],[f768,f867]) ).
fof(f1841,plain,
( spl3_115
| spl3_6
| spl3_3
| ~ spl3_69
| ~ spl3_86
| ~ spl3_89
| ~ spl3_97 ),
inference(avatar_split_clause,[],[f1597,f713,f679,f666,f589,f262,f277,f848]) ).
fof(f1597,plain,
( e0 = e3
| e2 = e3
| e3 = op(e0,e3)
| ~ spl3_69
| ~ spl3_86
| ~ spl3_89
| ~ spl3_97 ),
inference(duplicate_literal_removal,[],[f1596]) ).
fof(f1596,plain,
( e0 = e3
| e0 = e3
| e2 = e3
| e3 = op(e0,e3)
| ~ spl3_69
| ~ spl3_86
| ~ spl3_89
| ~ spl3_97 ),
inference(forward_demodulation,[],[f1595,f680]) ).
fof(f1595,plain,
( e0 = e3
| e2 = e3
| e3 = op(e1,e3)
| e3 = op(e0,e3)
| ~ spl3_69
| ~ spl3_86
| ~ spl3_97 ),
inference(forward_demodulation,[],[f1587,f667]) ).
fof(f1587,plain,
( e2 = e3
| e3 = op(e2,e3)
| e3 = op(e1,e3)
| e3 = op(e0,e3)
| ~ spl3_69
| ~ spl3_97 ),
inference(forward_demodulation,[],[f146,f1546]) ).
fof(f1838,plain,
( ~ spl3_134
| ~ spl3_81
| ~ spl3_89 ),
inference(avatar_split_clause,[],[f1479,f679,f644,f1835]) ).
fof(f1479,plain,
( e2 != op(e3,e3)
| e1 != op(e3,e2)
| ~ spl3_89 ),
inference(trivial_inequality_removal,[],[f1478]) ).
fof(f1478,plain,
( e0 != e0
| e2 != op(e3,e3)
| e1 != op(e3,e2)
| ~ spl3_89 ),
inference(forward_demodulation,[],[f220,f680]) ).
fof(f220,plain,
( e0 != op(e1,e3)
| e2 != op(e3,e3)
| e1 != op(e3,e2) ),
inference(inner_rewriting,[],[f219]) ).
fof(f219,plain,
( e0 != op(op(e3,e2),e3)
| e2 != op(e3,e3)
| e1 != op(e3,e2) ),
inference(inner_rewriting,[],[f187]) ).
fof(f187,plain,
( e0 != op(op(e3,op(e3,e3)),e3)
| e2 != op(e3,e3)
| e1 != op(e3,op(e3,e3)) ),
inference(cnf_transformation,[],[f38]) ).
fof(f38,plain,
( e0 != op(op(e3,op(e3,e3)),e3)
| e2 != op(e3,e3)
| e1 != op(e3,op(e3,e3)) ),
inference(ennf_transformation,[],[f14]) ).
fof(f14,axiom,
~ ( e0 = op(op(e3,op(e3,e3)),e3)
& e2 = op(e3,e3)
& e1 = op(e3,op(e3,e3)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax14) ).
fof(f1818,plain,
( spl3_96
| ~ spl3_60
| ~ spl3_108 ),
inference(avatar_split_clause,[],[f1450,f776,f544,f709]) ).
fof(f1450,plain,
( e0 = op(e2,e2)
| ~ spl3_60
| ~ spl3_108 ),
inference(forward_demodulation,[],[f546,f778]) ).
fof(f1812,plain,
( spl3_4
| ~ spl3_105
| ~ spl3_108 ),
inference(avatar_split_clause,[],[f1805,f776,f749,f267]) ).
fof(f1805,plain,
( e1 = e2
| ~ spl3_105
| ~ spl3_108 ),
inference(superposition,[],[f751,f778]) ).
fof(f1786,plain,
( spl3_1
| ~ spl3_61
| ~ spl3_105
| ~ spl3_121 ),
inference(avatar_split_clause,[],[f1753,f948,f749,f549,f252]) ).
fof(f1753,plain,
( e0 = e1
| ~ spl3_61
| ~ spl3_105
| ~ spl3_121 ),
inference(forward_demodulation,[],[f751,f1716]) ).
fof(f1752,plain,
( spl3_6
| ~ spl3_58
| ~ spl3_63
| ~ spl3_85
| ~ spl3_108
| ~ spl3_116 ),
inference(avatar_split_clause,[],[f1738,f865,f776,f661,f559,f535,f277]) ).
fof(f1738,plain,
( e2 = e3
| ~ spl3_58
| ~ spl3_63
| ~ spl3_85
| ~ spl3_108
| ~ spl3_116 ),
inference(forward_demodulation,[],[f1737,f778]) ).
fof(f1737,plain,
( op(e0,e0) = e3
| ~ spl3_58
| ~ spl3_63
| ~ spl3_85
| ~ spl3_116 ),
inference(forward_demodulation,[],[f662,f1730]) ).
fof(f1730,plain,
( e0 = e1
| ~ spl3_58
| ~ spl3_63
| ~ spl3_85
| ~ spl3_116 ),
inference(forward_demodulation,[],[f861,f1068]) ).
fof(f1068,plain,
( e0 = op(e3,e3)
| ~ spl3_58
| ~ spl3_116 ),
inference(superposition,[],[f537,f867]) ).
fof(f1734,plain,
( spl3_5
| ~ spl3_85
| ~ spl3_106 ),
inference(avatar_split_clause,[],[f1631,f753,f661,f272]) ).
fof(f1631,plain,
( e1 = e3
| ~ spl3_85
| ~ spl3_106 ),
inference(superposition,[],[f755,f662]) ).
fof(f1724,plain,
( spl3_5
| ~ spl3_65
| ~ spl3_69
| ~ spl3_72
| ~ spl3_84
| ~ spl3_97 ),
inference(avatar_split_clause,[],[f1710,f713,f657,f604,f589,f569,f272]) ).
fof(f1710,plain,
( e1 = e3
| ~ spl3_65
| ~ spl3_69
| ~ spl3_72
| ~ spl3_84
| ~ spl3_97 ),
inference(forward_demodulation,[],[f1709,f1317]) ).
fof(f1709,plain,
( e3 = op(e2,e2)
| ~ spl3_69
| ~ spl3_72
| ~ spl3_97 ),
inference(forward_demodulation,[],[f606,f1546]) ).
fof(f1717,plain,
( spl3_2
| ~ spl3_113
| ~ spl3_121 ),
inference(avatar_split_clause,[],[f1708,f948,f830,f257]) ).
fof(f1708,plain,
( e0 = e2
| ~ spl3_113
| ~ spl3_121 ),
inference(forward_demodulation,[],[f832,f950]) ).
fof(f1696,plain,
( spl3_3
| ~ spl3_79
| ~ spl3_103 ),
inference(avatar_split_clause,[],[f1695,f739,f635,f262]) ).
fof(f1695,plain,
( e0 = e3
| ~ spl3_79
| ~ spl3_103 ),
inference(forward_demodulation,[],[f636,f741]) ).
fof(f1678,plain,
( spl3_1
| ~ spl3_85
| ~ spl3_106
| ~ spl3_107
| ~ spl3_121 ),
inference(avatar_split_clause,[],[f1676,f948,f766,f753,f661,f252]) ).
fof(f1676,plain,
( e0 = e1
| ~ spl3_85
| ~ spl3_106
| ~ spl3_107
| ~ spl3_121 ),
inference(forward_demodulation,[],[f768,f1675]) ).
fof(f1675,plain,
( e0 = op(e1,e0)
| ~ spl3_85
| ~ spl3_106
| ~ spl3_121 ),
inference(forward_demodulation,[],[f950,f1631]) ).
fof(f1658,plain,
( spl3_4
| spl3_2
| ~ spl3_65
| ~ spl3_84
| ~ spl3_86
| ~ spl3_120
| ~ spl3_127 ),
inference(avatar_split_clause,[],[f1648,f1177,f944,f666,f657,f569,f257,f267]) ).
fof(f1648,plain,
( e0 = e2
| e1 = e2
| ~ spl3_65
| ~ spl3_84
| ~ spl3_86
| ~ spl3_120
| ~ spl3_127 ),
inference(duplicate_literal_removal,[],[f1647]) ).
fof(f1647,plain,
( e0 = e2
| e0 = e2
| e1 = e2
| ~ spl3_65
| ~ spl3_84
| ~ spl3_86
| ~ spl3_120
| ~ spl3_127 ),
inference(forward_demodulation,[],[f1559,f946]) ).
fof(f1559,plain,
( e0 = e2
| e1 = e2
| e2 = op(e2,e0)
| ~ spl3_65
| ~ spl3_84
| ~ spl3_86
| ~ spl3_127 ),
inference(forward_demodulation,[],[f1530,f667]) ).
fof(f1642,plain,
( spl3_2
| ~ spl3_101
| ~ spl3_108 ),
inference(avatar_split_clause,[],[f1629,f776,f731,f257]) ).
fof(f1629,plain,
( e0 = e2
| ~ spl3_101
| ~ spl3_108 ),
inference(superposition,[],[f733,f778]) ).
fof(f1627,plain,
( spl3_3
| ~ spl3_116
| ~ spl3_125 ),
inference(avatar_split_clause,[],[f1626,f1152,f865,f262]) ).
fof(f1626,plain,
( e0 = e3
| ~ spl3_116
| ~ spl3_125 ),
inference(forward_demodulation,[],[f867,f1154]) ).
fof(f1622,plain,
( spl3_4
| spl3_6
| spl3_2
| ~ spl3_65
| ~ spl3_84
| ~ spl3_86
| ~ spl3_117
| ~ spl3_127 ),
inference(avatar_split_clause,[],[f1578,f1177,f869,f666,f657,f569,f257,f277,f267]) ).
fof(f1578,plain,
( e0 = e2
| e2 = e3
| e1 = e2
| ~ spl3_65
| ~ spl3_84
| ~ spl3_86
| ~ spl3_117
| ~ spl3_127 ),
inference(forward_demodulation,[],[f1531,f667]) ).
fof(f1531,plain,
( e2 = e3
| e1 = e2
| e2 = op(e2,e3)
| ~ spl3_65
| ~ spl3_84
| ~ spl3_117
| ~ spl3_127 ),
inference(forward_demodulation,[],[f1530,f871]) ).
fof(f1612,plain,
( spl3_6
| ~ spl3_70
| ~ spl3_86
| ~ spl3_108 ),
inference(avatar_split_clause,[],[f1610,f776,f666,f594,f277]) ).
fof(f1610,plain,
( e2 = e3
| ~ spl3_70
| ~ spl3_86
| ~ spl3_108 ),
inference(forward_demodulation,[],[f1607,f778]) ).
fof(f1593,plain,
( spl3_6
| ~ spl3_71
| ~ spl3_104
| ~ spl3_108 ),
inference(avatar_split_clause,[],[f1585,f776,f743,f599,f277]) ).
fof(f1585,plain,
( e2 = e3
| ~ spl3_71
| ~ spl3_104
| ~ spl3_108 ),
inference(forward_demodulation,[],[f1584,f778]) ).
fof(f1584,plain,
( op(e0,e0) = e3
| ~ spl3_71
| ~ spl3_104 ),
inference(forward_demodulation,[],[f601,f745]) ).
fof(f1583,plain,
( spl3_6
| ~ spl3_69
| ~ spl3_71
| ~ spl3_97
| ~ spl3_115 ),
inference(avatar_split_clause,[],[f1581,f848,f713,f599,f589,f277]) ).
fof(f1581,plain,
( e2 = e3
| ~ spl3_69
| ~ spl3_71
| ~ spl3_97
| ~ spl3_115 ),
inference(forward_demodulation,[],[f1580,f1546]) ).
fof(f1573,plain,
( spl3_5
| ~ spl3_92
| ~ spl3_118 ),
inference(avatar_split_clause,[],[f1571,f873,f692,f272]) ).
fof(f1571,plain,
( e1 = e3
| ~ spl3_92
| ~ spl3_118 ),
inference(forward_demodulation,[],[f875,f693]) ).
fof(f1554,plain,
( spl3_2
| ~ spl3_56
| ~ spl3_69
| ~ spl3_97
| ~ spl3_117 ),
inference(avatar_split_clause,[],[f1550,f869,f713,f589,f526,f257]) ).
fof(f1550,plain,
( e0 = e2
| ~ spl3_56
| ~ spl3_69
| ~ spl3_97
| ~ spl3_117 ),
inference(forward_demodulation,[],[f1546,f1090]) ).
fof(f1553,plain,
( spl3_104
| ~ spl3_56
| ~ spl3_69
| ~ spl3_86
| ~ spl3_97
| ~ spl3_117 ),
inference(avatar_split_clause,[],[f1552,f869,f713,f666,f589,f526,f743]) ).
fof(f1552,plain,
( e0 = op(e0,e3)
| ~ spl3_56
| ~ spl3_69
| ~ spl3_86
| ~ spl3_97
| ~ spl3_117 ),
inference(forward_demodulation,[],[f667,f1550]) ).
fof(f1551,plain,
( spl3_86
| spl3_3
| spl3_1
| ~ spl3_65
| ~ spl3_84
| ~ spl3_117
| ~ spl3_127 ),
inference(avatar_split_clause,[],[f1443,f1177,f869,f657,f569,f252,f262,f666]) ).
fof(f1443,plain,
( e0 = e1
| e0 = e3
| e0 = op(e2,e3)
| ~ spl3_65
| ~ spl3_84
| ~ spl3_117
| ~ spl3_127 ),
inference(duplicate_literal_removal,[],[f1442]) ).
fof(f1442,plain,
( e0 = e1
| e0 = e1
| e0 = e3
| e0 = op(e2,e3)
| ~ spl3_65
| ~ spl3_84
| ~ spl3_117
| ~ spl3_127 ),
inference(forward_demodulation,[],[f1441,f1179]) ).
fof(f1441,plain,
( e0 = e1
| e0 = e3
| e0 = op(e2,e3)
| e0 = op(e2,e1)
| ~ spl3_65
| ~ spl3_84
| ~ spl3_117 ),
inference(forward_demodulation,[],[f1135,f1317]) ).
fof(f1135,plain,
( e0 = e3
| e0 = op(e2,e3)
| e0 = op(e2,e2)
| e0 = op(e2,e1)
| ~ spl3_117 ),
inference(forward_demodulation,[],[f131,f871]) ).
fof(f1524,plain,
( spl3_3
| ~ spl3_56
| ~ spl3_64
| ~ spl3_88
| ~ spl3_97
| ~ spl3_117
| ~ spl3_119 ),
inference(avatar_split_clause,[],[f1521,f898,f869,f713,f674,f564,f526,f262]) ).
fof(f1521,plain,
( e0 = e3
| ~ spl3_56
| ~ spl3_64
| ~ spl3_88
| ~ spl3_97
| ~ spl3_117
| ~ spl3_119 ),
inference(forward_demodulation,[],[f1520,f1481]) ).
fof(f1520,plain,
( e1 = e3
| ~ spl3_56
| ~ spl3_64
| ~ spl3_88
| ~ spl3_97
| ~ spl3_117
| ~ spl3_119 ),
inference(forward_demodulation,[],[f1519,f675]) ).
fof(f1503,plain,
( spl3_5
| ~ spl3_65
| ~ spl3_68
| ~ spl3_84
| ~ spl3_97
| ~ spl3_124 ),
inference(avatar_split_clause,[],[f1472,f1114,f713,f657,f584,f569,f272]) ).
fof(f1472,plain,
( e1 = e3
| ~ spl3_65
| ~ spl3_68
| ~ spl3_84
| ~ spl3_97
| ~ spl3_124 ),
inference(forward_demodulation,[],[f1471,f1467]) ).
fof(f1471,plain,
( e2 = e3
| ~ spl3_65
| ~ spl3_68
| ~ spl3_84
| ~ spl3_97
| ~ spl3_124 ),
inference(forward_demodulation,[],[f1470,f658]) ).
fof(f1470,plain,
( e3 = op(e1,e1)
| ~ spl3_65
| ~ spl3_68
| ~ spl3_84
| ~ spl3_97
| ~ spl3_124 ),
inference(forward_demodulation,[],[f714,f1467]) ).
fof(f1469,plain,
( spl3_122
| ~ spl3_73
| ~ spl3_89
| ~ spl3_97
| ~ spl3_108 ),
inference(avatar_split_clause,[],[f1449,f776,f713,f679,f609,f1026]) ).
fof(f1449,plain,
( e2 = op(e1,e2)
| ~ spl3_73
| ~ spl3_89
| ~ spl3_97
| ~ spl3_108 ),
inference(forward_demodulation,[],[f714,f1365]) ).
fof(f1446,plain,
( spl3_3
| ~ spl3_83
| ~ spl3_97 ),
inference(avatar_split_clause,[],[f1444,f713,f653,f262]) ).
fof(f1444,plain,
( e0 = e3
| ~ spl3_83
| ~ spl3_97 ),
inference(forward_demodulation,[],[f714,f654]) ).
fof(f1440,plain,
( spl3_4
| ~ spl3_92
| ~ spl3_113 ),
inference(avatar_split_clause,[],[f1423,f830,f692,f267]) ).
fof(f1423,plain,
( e1 = e2
| ~ spl3_92
| ~ spl3_113 ),
inference(forward_demodulation,[],[f832,f693]) ).
fof(f1425,plain,
( spl3_4
| ~ spl3_65
| ~ spl3_84
| ~ spl3_126 ),
inference(avatar_split_clause,[],[f1410,f1164,f657,f569,f267]) ).
fof(f1410,plain,
( e1 = e2
| ~ spl3_65
| ~ spl3_84
| ~ spl3_126 ),
inference(forward_demodulation,[],[f1166,f1317]) ).
fof(f1412,plain,
( spl3_4
| ~ spl3_75
| ~ spl3_81 ),
inference(avatar_split_clause,[],[f1383,f644,f618,f267]) ).
fof(f1383,plain,
( e1 = e2
| ~ spl3_75
| ~ spl3_81 ),
inference(forward_demodulation,[],[f645,f619]) ).
fof(f1385,plain,
( spl3_4
| ~ spl3_65
| ~ spl3_69
| ~ spl3_84
| ~ spl3_122 ),
inference(avatar_split_clause,[],[f1343,f1026,f657,f589,f569,f267]) ).
fof(f1343,plain,
( e1 = e2
| ~ spl3_65
| ~ spl3_69
| ~ spl3_84
| ~ spl3_122 ),
inference(forward_demodulation,[],[f1033,f1317]) ).
fof(f1384,plain,
( spl3_83
| spl3_129
| spl3_122
| spl3_97 ),
inference(avatar_split_clause,[],[f153,f713,f1026,f1194,f653]) ).
fof(f153,plain,
( e3 = op(e1,e2)
| e2 = op(e1,e2)
| e1 = op(e1,e2)
| e0 = op(e1,e2) ),
inference(cnf_transformation,[],[f1]) ).
fof(f1382,plain,
( spl3_113
| spl3_131
| spl3_124
| spl3_81 ),
inference(avatar_split_clause,[],[f143,f644,f1114,f1271,f830]) ).
fof(f143,plain,
( e2 = op(e3,e3)
| e2 = op(e3,e2)
| e2 = op(e3,e1)
| e2 = op(e3,e0) ),
inference(cnf_transformation,[],[f2]) ).
fof(f1380,plain,
( spl3_79
| spl3_97
| spl3_87
| spl3_133 ),
inference(avatar_split_clause,[],[f138,f1377,f670,f713,f635]) ).
fof(f138,plain,
( e3 = op(e3,e2)
| e3 = op(e2,e2)
| e3 = op(e1,e2)
| e3 = op(e0,e2) ),
inference(cnf_transformation,[],[f2]) ).
fof(f1371,plain,
( spl3_97
| spl3_132
| spl3_6
| spl3_3
| ~ spl3_84
| ~ spl3_125 ),
inference(avatar_split_clause,[],[f1331,f1152,f657,f262,f277,f1368,f713]) ).
fof(f1331,plain,
( e0 = e3
| e2 = e3
| e3 = op(e1,e3)
| e3 = op(e1,e2)
| ~ spl3_84
| ~ spl3_125 ),
inference(forward_demodulation,[],[f1330,f1154]) ).
fof(f1357,plain,
( spl3_3
| spl3_89
| spl3_1
| ~ spl3_65
| ~ spl3_69
| ~ spl3_84
| ~ spl3_117
| ~ spl3_122 ),
inference(avatar_split_clause,[],[f1355,f1026,f869,f657,f589,f569,f252,f679,f262]) ).
fof(f1355,plain,
( e0 = e1
| e0 = op(e1,e3)
| e0 = e3
| ~ spl3_65
| ~ spl3_69
| ~ spl3_84
| ~ spl3_117
| ~ spl3_122 ),
inference(duplicate_literal_removal,[],[f1354]) ).
fof(f1354,plain,
( e0 = e1
| e0 = e1
| e0 = op(e1,e3)
| e0 = e3
| ~ spl3_65
| ~ spl3_69
| ~ spl3_84
| ~ spl3_117
| ~ spl3_122 ),
inference(forward_demodulation,[],[f1353,f1343]) ).
fof(f1353,plain,
( e0 = e2
| e0 = e1
| e0 = op(e1,e3)
| e0 = e3
| ~ spl3_65
| ~ spl3_69
| ~ spl3_84
| ~ spl3_117
| ~ spl3_122 ),
inference(forward_demodulation,[],[f1352,f658]) ).
fof(f1352,plain,
( e0 = op(e1,e1)
| e0 = e1
| e0 = op(e1,e3)
| e0 = e3
| ~ spl3_65
| ~ spl3_69
| ~ spl3_84
| ~ spl3_117
| ~ spl3_122 ),
inference(forward_demodulation,[],[f1351,f1343]) ).
fof(f1351,plain,
( e0 = e1
| e0 = op(e1,e3)
| e0 = e3
| e0 = op(e2,e1)
| ~ spl3_65
| ~ spl3_69
| ~ spl3_84
| ~ spl3_117
| ~ spl3_122 ),
inference(forward_demodulation,[],[f1350,f1343]) ).
fof(f1350,plain,
( e0 = e2
| e0 = op(e1,e3)
| e0 = e3
| e0 = op(e2,e1)
| ~ spl3_65
| ~ spl3_69
| ~ spl3_84
| ~ spl3_117
| ~ spl3_122 ),
inference(forward_demodulation,[],[f1349,f658]) ).
fof(f1349,plain,
( e0 = op(e1,e1)
| e0 = op(e1,e3)
| e0 = e3
| e0 = op(e2,e1)
| ~ spl3_65
| ~ spl3_69
| ~ spl3_84
| ~ spl3_117
| ~ spl3_122 ),
inference(forward_demodulation,[],[f1348,f1343]) ).
fof(f1348,plain,
( e0 = op(e1,e3)
| e0 = e3
| e0 = op(e2,e2)
| e0 = op(e2,e1)
| ~ spl3_65
| ~ spl3_69
| ~ spl3_84
| ~ spl3_117
| ~ spl3_122 ),
inference(forward_demodulation,[],[f1135,f1343]) ).
fof(f1347,plain,
( spl3_5
| ~ spl3_65
| ~ spl3_70
| ~ spl3_84
| ~ spl3_123 ),
inference(avatar_split_clause,[],[f1333,f1102,f657,f594,f569,f272]) ).
fof(f1333,plain,
( e1 = e3
| ~ spl3_65
| ~ spl3_70
| ~ spl3_84
| ~ spl3_123 ),
inference(forward_demodulation,[],[f1262,f1317]) ).
fof(f1262,plain,
( e3 = op(e2,e2)
| ~ spl3_70
| ~ spl3_123 ),
inference(superposition,[],[f596,f1104]) ).
fof(f1341,plain,
( spl3_2
| ~ spl3_80
| ~ spl3_124 ),
inference(avatar_split_clause,[],[f1340,f1114,f640,f257]) ).
fof(f1340,plain,
( e0 = e2
| ~ spl3_80
| ~ spl3_124 ),
inference(forward_demodulation,[],[f1116,f641]) ).
fof(f1329,plain,
( spl3_1
| spl3_2
| spl3_96
| ~ spl3_70
| ~ spl3_117
| ~ spl3_123
| ~ spl3_126
| ~ spl3_127 ),
inference(avatar_split_clause,[],[f1315,f1177,f1164,f1102,f869,f594,f709,f257,f252]) ).
fof(f1315,plain,
( e0 = op(e2,e2)
| e0 = e2
| e0 = e1
| ~ spl3_70
| ~ spl3_117
| ~ spl3_123
| ~ spl3_126
| ~ spl3_127 ),
inference(forward_demodulation,[],[f1314,f1265]) ).
fof(f1265,plain,
( e2 = e3
| ~ spl3_70
| ~ spl3_123
| ~ spl3_126 ),
inference(forward_demodulation,[],[f1262,f1166]) ).
fof(f1314,plain,
( e0 = e2
| e0 = e1
| e0 = op(e2,e3)
| ~ spl3_70
| ~ spl3_117
| ~ spl3_123
| ~ spl3_126
| ~ spl3_127 ),
inference(duplicate_literal_removal,[],[f1313]) ).
fof(f1313,plain,
( e0 = e2
| e0 = e1
| e0 = e2
| e0 = op(e2,e3)
| ~ spl3_70
| ~ spl3_117
| ~ spl3_123
| ~ spl3_126
| ~ spl3_127 ),
inference(forward_demodulation,[],[f1202,f1265]) ).
fof(f1202,plain,
( e0 = e1
| e0 = e2
| e0 = e3
| e0 = op(e2,e3)
| ~ spl3_117
| ~ spl3_126
| ~ spl3_127 ),
inference(forward_demodulation,[],[f1201,f1179]) ).
fof(f1201,plain,
( e0 = e2
| e0 = e3
| e0 = op(e2,e3)
| e0 = op(e2,e1)
| ~ spl3_117
| ~ spl3_126 ),
inference(forward_demodulation,[],[f1135,f1166]) ).
fof(f1327,plain,
( ~ spl3_99
| spl3_61
| ~ spl3_92 ),
inference(avatar_split_clause,[],[f1309,f692,f549,f722]) ).
fof(f1309,plain,
( e0 != op(e1,e1)
| spl3_61
| ~ spl3_92 ),
inference(forward_demodulation,[],[f550,f693]) ).
fof(f1320,plain,
( ~ spl3_84
| spl3_67
| ~ spl3_88 ),
inference(avatar_split_clause,[],[f838,f674,f579,f657]) ).
fof(f838,plain,
( e2 != op(e1,e1)
| spl3_67
| ~ spl3_88 ),
inference(forward_demodulation,[],[f580,f675]) ).
fof(f1311,plain,
( spl3_1
| ~ spl3_92
| ~ spl3_121 ),
inference(avatar_split_clause,[],[f1217,f948,f692,f252]) ).
fof(f1217,plain,
( e0 = e1
| ~ spl3_92
| ~ spl3_121 ),
inference(superposition,[],[f693,f950]) ).
fof(f1284,plain,
( spl3_2
| ~ spl3_62
| ~ spl3_92
| ~ spl3_99
| ~ spl3_127
| ~ spl3_131 ),
inference(avatar_split_clause,[],[f1282,f1271,f1177,f722,f692,f554,f257]) ).
fof(f1282,plain,
( e0 = e2
| ~ spl3_62
| ~ spl3_92
| ~ spl3_99
| ~ spl3_127
| ~ spl3_131 ),
inference(forward_demodulation,[],[f1281,f1188]) ).
fof(f1188,plain,
( e0 = e1
| ~ spl3_62
| ~ spl3_99
| ~ spl3_127 ),
inference(forward_demodulation,[],[f1184,f723]) ).
fof(f1184,plain,
( e1 = op(e1,e1)
| ~ spl3_62
| ~ spl3_127 ),
inference(superposition,[],[f556,f1179]) ).
fof(f1281,plain,
( e1 = e2
| ~ spl3_62
| ~ spl3_92
| ~ spl3_99
| ~ spl3_127
| ~ spl3_131 ),
inference(forward_demodulation,[],[f1280,f693]) ).
fof(f1280,plain,
( e2 = op(e3,e0)
| ~ spl3_62
| ~ spl3_99
| ~ spl3_127
| ~ spl3_131 ),
inference(forward_demodulation,[],[f1273,f1188]) ).
fof(f1279,plain,
( spl3_2
| ~ spl3_84
| ~ spl3_99 ),
inference(avatar_split_clause,[],[f1278,f722,f657,f257]) ).
fof(f1278,plain,
( e0 = e2
| ~ spl3_84
| ~ spl3_99 ),
inference(forward_demodulation,[],[f658,f723]) ).
fof(f1274,plain,
( spl3_91
| spl3_84
| spl3_130
| spl3_131 ),
inference(avatar_split_clause,[],[f128,f1271,f1267,f657,f687]) ).
fof(f128,plain,
( e2 = op(e3,e1)
| e2 = op(e2,e1)
| e2 = op(e1,e1)
| e2 = op(e0,e1) ),
inference(cnf_transformation,[],[f2]) ).
fof(f1246,plain,
( spl3_3
| spl3_6
| ~ spl3_61
| ~ spl3_62
| ~ spl3_88
| ~ spl3_92
| ~ spl3_94
| ~ spl3_99
| ~ spl3_108
| ~ spl3_127 ),
inference(avatar_split_clause,[],[f1227,f1177,f776,f722,f700,f692,f674,f554,f549,f277,f262]) ).
fof(f1227,plain,
( e2 = e3
| e0 = e3
| ~ spl3_61
| ~ spl3_62
| ~ spl3_88
| ~ spl3_92
| ~ spl3_94
| ~ spl3_99
| ~ spl3_108
| ~ spl3_127 ),
inference(duplicate_literal_removal,[],[f1226]) ).
fof(f1226,plain,
( e2 = e3
| e0 = e3
| e2 = e3
| ~ spl3_61
| ~ spl3_62
| ~ spl3_88
| ~ spl3_92
| ~ spl3_94
| ~ spl3_99
| ~ spl3_108
| ~ spl3_127 ),
inference(forward_demodulation,[],[f1225,f778]) ).
fof(f1225,plain,
( op(e0,e0) = e3
| e0 = e3
| e2 = e3
| ~ spl3_61
| ~ spl3_62
| ~ spl3_88
| ~ spl3_92
| ~ spl3_94
| ~ spl3_99
| ~ spl3_127 ),
inference(forward_demodulation,[],[f1224,f1188]) ).
fof(f1224,plain,
( e0 = e3
| e2 = e3
| e3 = op(e1,e0)
| ~ spl3_61
| ~ spl3_62
| ~ spl3_88
| ~ spl3_92
| ~ spl3_94
| ~ spl3_99
| ~ spl3_127 ),
inference(duplicate_literal_removal,[],[f1223]) ).
fof(f1223,plain,
( e0 = e3
| e2 = e3
| e0 = e3
| e3 = op(e1,e0)
| ~ spl3_61
| ~ spl3_62
| ~ spl3_88
| ~ spl3_92
| ~ spl3_94
| ~ spl3_99
| ~ spl3_127 ),
inference(forward_demodulation,[],[f1222,f1188]) ).
fof(f1222,plain,
( e1 = e3
| e2 = e3
| e0 = e3
| e3 = op(e1,e0)
| ~ spl3_61
| ~ spl3_62
| ~ spl3_88
| ~ spl3_92
| ~ spl3_94
| ~ spl3_99
| ~ spl3_127 ),
inference(forward_demodulation,[],[f1221,f675]) ).
fof(f1221,plain,
( e3 = op(e0,e2)
| e2 = e3
| e0 = e3
| e3 = op(e1,e0)
| ~ spl3_61
| ~ spl3_62
| ~ spl3_92
| ~ spl3_94
| ~ spl3_99
| ~ spl3_127 ),
inference(forward_demodulation,[],[f1203,f1188]) ).
fof(f1203,plain,
( e2 = e3
| e0 = e3
| e3 = op(e1,e2)
| e3 = op(e1,e0)
| ~ spl3_61
| ~ spl3_92
| ~ spl3_94 ),
inference(forward_demodulation,[],[f1087,f701]) ).
fof(f1220,plain,
( spl3_3
| spl3_6
| ~ spl3_61
| ~ spl3_62
| ~ spl3_83
| ~ spl3_92
| ~ spl3_94
| ~ spl3_99
| ~ spl3_108
| ~ spl3_127 ),
inference(avatar_split_clause,[],[f1208,f1177,f776,f722,f700,f692,f653,f554,f549,f277,f262]) ).
fof(f1208,plain,
( e2 = e3
| e0 = e3
| ~ spl3_61
| ~ spl3_62
| ~ spl3_83
| ~ spl3_92
| ~ spl3_94
| ~ spl3_99
| ~ spl3_108
| ~ spl3_127 ),
inference(duplicate_literal_removal,[],[f1207]) ).
fof(f1207,plain,
( e2 = e3
| e0 = e3
| e2 = e3
| ~ spl3_61
| ~ spl3_62
| ~ spl3_83
| ~ spl3_92
| ~ spl3_94
| ~ spl3_99
| ~ spl3_108
| ~ spl3_127 ),
inference(forward_demodulation,[],[f1206,f778]) ).
fof(f1206,plain,
( op(e0,e0) = e3
| e0 = e3
| e2 = e3
| ~ spl3_61
| ~ spl3_62
| ~ spl3_83
| ~ spl3_92
| ~ spl3_94
| ~ spl3_99
| ~ spl3_127 ),
inference(forward_demodulation,[],[f1205,f1188]) ).
fof(f1205,plain,
( e0 = e3
| e2 = e3
| e3 = op(e1,e0)
| ~ spl3_61
| ~ spl3_83
| ~ spl3_92
| ~ spl3_94 ),
inference(duplicate_literal_removal,[],[f1204]) ).
fof(f1204,plain,
( e0 = e3
| e2 = e3
| e0 = e3
| e3 = op(e1,e0)
| ~ spl3_61
| ~ spl3_83
| ~ spl3_92
| ~ spl3_94 ),
inference(forward_demodulation,[],[f1203,f654]) ).
fof(f1211,plain,
( spl3_101
| ~ spl3_62
| ~ spl3_99
| ~ spl3_125
| ~ spl3_127 ),
inference(avatar_split_clause,[],[f1209,f1177,f1152,f722,f554,f731]) ).
fof(f1209,plain,
( e0 = op(e0,e0)
| ~ spl3_62
| ~ spl3_99
| ~ spl3_125
| ~ spl3_127 ),
inference(forward_demodulation,[],[f1154,f1188]) ).
fof(f1200,plain,
( spl3_3
| ~ spl3_117
| ~ spl3_120 ),
inference(avatar_split_clause,[],[f1156,f944,f869,f262]) ).
fof(f1156,plain,
( e0 = e3
| ~ spl3_117
| ~ spl3_120 ),
inference(superposition,[],[f946,f871]) ).
fof(f1197,plain,
( spl3_107
| spl3_128
| spl3_129
| spl3_110 ),
inference(avatar_split_clause,[],[f125,f805,f1194,f1190,f766]) ).
fof(f125,plain,
( e1 = op(e1,e3)
| e1 = op(e1,e2)
| e1 = op(e1,e1)
| e1 = op(e1,e0) ),
inference(cnf_transformation,[],[f2]) ).
fof(f1180,plain,
( spl3_127
| spl3_78
| spl3_111
| spl3_5
| ~ spl3_117 ),
inference(avatar_split_clause,[],[f1136,f869,f272,f809,f631,f1177]) ).
fof(f1136,plain,
( e1 = e3
| e1 = op(e2,e3)
| e1 = op(e2,e2)
| e1 = op(e2,e1)
| ~ spl3_117 ),
inference(forward_demodulation,[],[f133,f871]) ).
fof(f1167,plain,
( spl3_122
| spl3_126
| spl3_124
| spl3_4
| ~ spl3_88 ),
inference(avatar_split_clause,[],[f1118,f674,f267,f1114,f1164,f1026]) ).
fof(f1118,plain,
( e1 = e2
| e2 = op(e3,e2)
| e2 = op(e2,e2)
| e2 = op(e1,e2)
| ~ spl3_88 ),
inference(forward_demodulation,[],[f136,f675]) ).
fof(f1155,plain,
( spl3_125
| spl3_120
| spl3_121
| spl3_2
| ~ spl3_108 ),
inference(avatar_split_clause,[],[f1084,f776,f257,f948,f944,f1152]) ).
fof(f1084,plain,
( e0 = e2
| e0 = op(e3,e0)
| e0 = op(e2,e0)
| e0 = op(e1,e0)
| ~ spl3_108 ),
inference(forward_demodulation,[],[f116,f778]) ).
fof(f1144,plain,
( spl3_83
| spl3_96
| spl3_80
| spl3_1
| ~ spl3_88 ),
inference(avatar_split_clause,[],[f958,f674,f252,f640,f709,f653]) ).
fof(f958,plain,
( e0 = e1
| e0 = op(e3,e2)
| e0 = op(e2,e2)
| e0 = op(e1,e2)
| ~ spl3_88 ),
inference(forward_demodulation,[],[f132,f675]) ).
fof(f1131,plain,
( ~ spl3_96
| spl3_60
| ~ spl3_108 ),
inference(avatar_split_clause,[],[f1122,f776,f544,f709]) ).
fof(f1122,plain,
( e0 != op(e2,e2)
| spl3_60
| ~ spl3_108 ),
inference(forward_demodulation,[],[f545,f778]) ).
fof(f1123,plain,
( spl3_96
| spl3_86
| spl3_3
| ~ spl3_100
| ~ spl3_117 ),
inference(avatar_split_clause,[],[f1121,f869,f726,f262,f666,f709]) ).
fof(f1121,plain,
( e0 = e3
| e0 = op(e2,e3)
| e0 = op(e2,e2)
| ~ spl3_100
| ~ spl3_117 ),
inference(duplicate_literal_removal,[],[f1120]) ).
fof(f1120,plain,
( e0 = e3
| e0 = e3
| e0 = op(e2,e3)
| e0 = op(e2,e2)
| ~ spl3_100
| ~ spl3_117 ),
inference(forward_demodulation,[],[f957,f871]) ).
fof(f1117,plain,
( spl3_122
| spl3_124
| spl3_2
| spl3_4
| ~ spl3_60
| ~ spl3_88
| ~ spl3_108 ),
inference(avatar_split_clause,[],[f1081,f776,f674,f544,f267,f257,f1114,f1026]) ).
fof(f1081,plain,
( e1 = e2
| e0 = e2
| e2 = op(e3,e2)
| e2 = op(e1,e2)
| ~ spl3_60
| ~ spl3_88
| ~ spl3_108 ),
inference(forward_demodulation,[],[f1080,f675]) ).
fof(f1105,plain,
( spl3_94
| spl3_123
| spl3_4
| spl3_6
| ~ spl3_75
| ~ spl3_115 ),
inference(avatar_split_clause,[],[f1078,f848,f618,f277,f267,f1102,f700]) ).
fof(f1078,plain,
( e2 = e3
| e1 = e2
| e2 = op(e2,e3)
| e2 = op(e1,e3)
| ~ spl3_75
| ~ spl3_115 ),
inference(forward_demodulation,[],[f914,f850]) ).
fof(f914,plain,
( e1 = e2
| e2 = op(e2,e3)
| e2 = op(e1,e3)
| e2 = op(e0,e3)
| ~ spl3_75 ),
inference(forward_demodulation,[],[f144,f619]) ).
fof(f1095,plain,
( spl3_99
| ~ spl3_61
| ~ spl3_92 ),
inference(avatar_split_clause,[],[f770,f692,f549,f722]) ).
fof(f1083,plain,
( ~ spl3_116
| ~ spl3_88
| ~ spl3_108 ),
inference(avatar_split_clause,[],[f1077,f776,f674,f865]) ).
fof(f1077,plain,
( e3 != op(e1,e0)
| ~ spl3_88
| ~ spl3_108 ),
inference(trivial_inequality_removal,[],[f1076]) ).
fof(f1076,plain,
( e1 != e1
| e3 != op(e1,e0)
| ~ spl3_88
| ~ spl3_108 ),
inference(forward_demodulation,[],[f1075,f675]) ).
fof(f1075,plain,
( e3 != op(e1,e0)
| e1 != op(e0,e2)
| ~ spl3_108 ),
inference(trivial_inequality_removal,[],[f1074]) ).
fof(f1071,plain,
( spl3_1
| spl3_89
| spl3_104
| ~ spl3_60
| ~ spl3_69
| ~ spl3_75
| ~ spl3_108
| ~ spl3_122 ),
inference(avatar_split_clause,[],[f1046,f1026,f776,f618,f589,f544,f743,f679,f252]) ).
fof(f1046,plain,
( e0 = op(e0,e3)
| e0 = op(e1,e3)
| e0 = e1
| ~ spl3_60
| ~ spl3_69
| ~ spl3_75
| ~ spl3_108
| ~ spl3_122 ),
inference(duplicate_literal_removal,[],[f1045]) ).
fof(f1045,plain,
( e0 = op(e0,e3)
| e0 = op(e1,e3)
| e0 = op(e0,e3)
| e0 = e1
| ~ spl3_60
| ~ spl3_69
| ~ spl3_75
| ~ spl3_108
| ~ spl3_122 ),
inference(forward_demodulation,[],[f1044,f1036]) ).
fof(f1036,plain,
( e0 = e2
| ~ spl3_60
| ~ spl3_69
| ~ spl3_108
| ~ spl3_122 ),
inference(forward_demodulation,[],[f1033,f971]) ).
fof(f1044,plain,
( e0 = op(e1,e3)
| e0 = op(e0,e3)
| e0 = e1
| e2 = op(e0,e3)
| ~ spl3_60
| ~ spl3_69
| ~ spl3_75
| ~ spl3_108
| ~ spl3_122 ),
inference(forward_demodulation,[],[f1043,f1036]) ).
fof(f1043,plain,
( e0 = op(e0,e3)
| e0 = e1
| e2 = op(e1,e3)
| e2 = op(e0,e3)
| ~ spl3_60
| ~ spl3_69
| ~ spl3_75
| ~ spl3_108
| ~ spl3_122 ),
inference(forward_demodulation,[],[f1042,f1036]) ).
fof(f1042,plain,
( e0 = e1
| e2 = op(e2,e3)
| e2 = op(e1,e3)
| e2 = op(e0,e3)
| ~ spl3_60
| ~ spl3_69
| ~ spl3_75
| ~ spl3_108
| ~ spl3_122 ),
inference(forward_demodulation,[],[f914,f1036]) ).
fof(f1037,plain,
( spl3_6
| ~ spl3_108
| ~ spl3_114 ),
inference(avatar_split_clause,[],[f968,f844,f776,f277]) ).
fof(f968,plain,
( e2 = e3
| ~ spl3_108
| ~ spl3_114 ),
inference(superposition,[],[f778,f846]) ).
fof(f1029,plain,
( spl3_4
| spl3_2
| spl3_122
| spl3_109
| ~ spl3_60
| ~ spl3_75
| ~ spl3_108
| ~ spl3_114 ),
inference(avatar_split_clause,[],[f976,f844,f776,f618,f544,f780,f1026,f257,f267]) ).
fof(f976,plain,
( e2 = op(e0,e2)
| e2 = op(e1,e2)
| e0 = e2
| e1 = e2
| ~ spl3_60
| ~ spl3_75
| ~ spl3_108
| ~ spl3_114 ),
inference(forward_demodulation,[],[f975,f968]) ).
fof(f975,plain,
( e2 = op(e1,e2)
| e0 = e2
| e1 = e2
| e2 = op(e0,e3)
| ~ spl3_60
| ~ spl3_75
| ~ spl3_108
| ~ spl3_114 ),
inference(forward_demodulation,[],[f974,f968]) ).
fof(f974,plain,
( e0 = e2
| e1 = e2
| e2 = op(e1,e3)
| e2 = op(e0,e3)
| ~ spl3_60
| ~ spl3_75
| ~ spl3_108
| ~ spl3_114 ),
inference(forward_demodulation,[],[f973,f971]) ).
fof(f973,plain,
( e2 = op(e2,e2)
| e1 = e2
| e2 = op(e1,e3)
| e2 = op(e0,e3)
| ~ spl3_75
| ~ spl3_108
| ~ spl3_114 ),
inference(forward_demodulation,[],[f914,f968]) ).
fof(f1012,plain,
( spl3_1
| ~ spl3_88
| ~ spl3_104
| ~ spl3_108
| ~ spl3_114 ),
inference(avatar_split_clause,[],[f1010,f844,f776,f743,f674,f252]) ).
fof(f1010,plain,
( e0 = e1
| ~ spl3_88
| ~ spl3_104
| ~ spl3_108
| ~ spl3_114 ),
inference(forward_demodulation,[],[f675,f1009]) ).
fof(f1009,plain,
( e0 = op(e0,e2)
| ~ spl3_104
| ~ spl3_108
| ~ spl3_114 ),
inference(forward_demodulation,[],[f745,f968]) ).
fof(f1001,plain,
( spl3_1
| ~ spl3_82
| ~ spl3_103
| ~ spl3_108
| ~ spl3_114 ),
inference(avatar_split_clause,[],[f999,f844,f776,f739,f648,f252]) ).
fof(f999,plain,
( e0 = e1
| ~ spl3_82
| ~ spl3_103
| ~ spl3_108
| ~ spl3_114 ),
inference(forward_demodulation,[],[f998,f741]) ).
fof(f998,plain,
( e1 = op(e0,e2)
| ~ spl3_82
| ~ spl3_108
| ~ spl3_114 ),
inference(forward_demodulation,[],[f649,f968]) ).
fof(f972,plain,
( spl3_1
| ~ spl3_88
| ~ spl3_103 ),
inference(avatar_split_clause,[],[f963,f739,f674,f252]) ).
fof(f963,plain,
( e0 = e1
| ~ spl3_88
| ~ spl3_103 ),
inference(superposition,[],[f741,f675]) ).
fof(f962,plain,
( spl3_4
| ~ spl3_63
| ~ spl3_102
| ~ spl3_108 ),
inference(avatar_split_clause,[],[f960,f776,f735,f559,f267]) ).
fof(f960,plain,
( e1 = e2
| ~ spl3_63
| ~ spl3_102
| ~ spl3_108 ),
inference(forward_demodulation,[],[f778,f887]) ).
fof(f887,plain,
( op(e0,e0) = e1
| ~ spl3_63
| ~ spl3_102 ),
inference(superposition,[],[f561,f737]) ).
fof(f951,plain,
( spl3_120
| spl3_121
| spl3_2
| spl3_3
| ~ spl3_98
| ~ spl3_114 ),
inference(avatar_split_clause,[],[f882,f844,f718,f262,f257,f948,f944]) ).
fof(f882,plain,
( e0 = e3
| e0 = e2
| e0 = op(e3,e0)
| e0 = op(e2,e0)
| ~ spl3_98
| ~ spl3_114 ),
inference(forward_demodulation,[],[f881,f846]) ).
fof(f881,plain,
( e0 = e2
| e0 = op(e3,e0)
| e0 = op(e2,e0)
| e0 = op(e0,e0)
| ~ spl3_98 ),
inference(forward_demodulation,[],[f116,f719]) ).
fof(f917,plain,
( spl3_2
| ~ spl3_91
| ~ spl3_102 ),
inference(avatar_split_clause,[],[f915,f735,f687,f257]) ).
fof(f915,plain,
( e0 = e2
| ~ spl3_91
| ~ spl3_102 ),
inference(forward_demodulation,[],[f688,f737]) ).
fof(f913,plain,
( ~ spl3_95
| ~ spl3_76
| ~ spl3_114 ),
inference(avatar_split_clause,[],[f907,f844,f622,f705]) ).
fof(f907,plain,
( e1 != op(e2,e0)
| ~ spl3_76
| ~ spl3_114 ),
inference(trivial_inequality_removal,[],[f906]) ).
fof(f906,plain,
( e2 != e2
| e1 != op(e2,e0)
| ~ spl3_76
| ~ spl3_114 ),
inference(forward_demodulation,[],[f905,f623]) ).
fof(f905,plain,
( e1 != op(e2,e0)
| e2 != op(e0,e3)
| ~ spl3_114 ),
inference(trivial_inequality_removal,[],[f904]) ).
fof(f901,plain,
( spl3_100
| spl3_119
| spl3_3
| ~ spl3_61
| ~ spl3_92
| ~ spl3_102 ),
inference(avatar_split_clause,[],[f895,f735,f692,f549,f262,f898,f726]) ).
fof(f895,plain,
( e0 = e3
| e3 = op(e3,e1)
| e3 = op(e2,e1)
| ~ spl3_61
| ~ spl3_92
| ~ spl3_102 ),
inference(duplicate_literal_removal,[],[f894]) ).
fof(f894,plain,
( e0 = e3
| e0 = e3
| e3 = op(e3,e1)
| e3 = op(e2,e1)
| ~ spl3_61
| ~ spl3_92
| ~ spl3_102 ),
inference(forward_demodulation,[],[f893,f737]) ).
fof(f892,plain,
( spl3_3
| ~ spl3_85
| ~ spl3_102 ),
inference(avatar_split_clause,[],[f883,f735,f661,f262]) ).
fof(f883,plain,
( e0 = e3
| ~ spl3_85
| ~ spl3_102 ),
inference(superposition,[],[f737,f662]) ).
fof(f880,plain,
( spl3_3
| ~ spl3_101
| ~ spl3_114 ),
inference(avatar_split_clause,[],[f879,f844,f731,f262]) ).
fof(f879,plain,
( e0 = e3
| ~ spl3_101
| ~ spl3_114 ),
inference(forward_demodulation,[],[f846,f733]) ).
fof(f876,plain,
( spl3_114
| spl3_116
| spl3_117
| spl3_118 ),
inference(avatar_split_clause,[],[f122,f873,f869,f865,f844]) ).
fof(f122,plain,
( e3 = op(e3,e0)
| e3 = op(e2,e0)
| e3 = op(e1,e0)
| op(e0,e0) = e3 ),
inference(cnf_transformation,[],[f2]) ).
fof(f855,plain,
( spl3_5
| ~ spl3_79
| ~ spl3_88 ),
inference(avatar_split_clause,[],[f854,f674,f635,f272]) ).
fof(f854,plain,
( e1 = e3
| ~ spl3_79
| ~ spl3_88 ),
inference(forward_demodulation,[],[f636,f675]) ).
fof(f851,plain,
( spl3_114
| spl3_85
| spl3_79
| spl3_115 ),
inference(avatar_split_clause,[],[f121,f848,f635,f661,f844]) ).
fof(f121,plain,
( e3 = op(e0,e3)
| e3 = op(e0,e2)
| e3 = op(e0,e1)
| op(e0,e0) = e3 ),
inference(cnf_transformation,[],[f2]) ).
fof(f837,plain,
( spl3_2
| ~ spl3_61
| ~ spl3_67
| ~ spl3_88
| ~ spl3_92 ),
inference(avatar_split_clause,[],[f801,f692,f674,f579,f549,f257]) ).
fof(f801,plain,
( e0 = e2
| ~ spl3_61
| ~ spl3_67
| ~ spl3_88
| ~ spl3_92 ),
inference(forward_demodulation,[],[f798,f770]) ).
fof(f833,plain,
( spl3_108
| spl3_98
| spl3_112
| spl3_113 ),
inference(avatar_split_clause,[],[f120,f830,f826,f718,f776]) ).
fof(f120,plain,
( e2 = op(e3,e0)
| e2 = op(e2,e0)
| e2 = op(e1,e0)
| op(e0,e0) = e2 ),
inference(cnf_transformation,[],[f2]) ).
fof(f812,plain,
( spl3_110
| spl3_111
| spl3_75
| spl3_4
| ~ spl3_76 ),
inference(avatar_split_clause,[],[f787,f622,f267,f618,f809,f805]) ).
fof(f787,plain,
( e1 = e2
| e1 = op(e3,e3)
| e1 = op(e2,e3)
| e1 = op(e1,e3)
| ~ spl3_76 ),
inference(forward_demodulation,[],[f142,f623]) ).
fof(f786,plain,
( spl3_4
| ~ spl3_76
| ~ spl3_82 ),
inference(avatar_split_clause,[],[f785,f648,f622,f267]) ).
fof(f785,plain,
( e1 = e2
| ~ spl3_76
| ~ spl3_82 ),
inference(forward_demodulation,[],[f623,f649]) ).
fof(f783,plain,
( spl3_108
| spl3_91
| spl3_109
| spl3_76 ),
inference(avatar_split_clause,[],[f119,f622,f780,f687,f776]) ).
fof(f119,plain,
( e2 = op(e0,e3)
| e2 = op(e0,e2)
| e2 = op(e0,e1)
| op(e0,e0) = e2 ),
inference(cnf_transformation,[],[f2]) ).
fof(f769,plain,
( spl3_105
| spl3_107
| spl3_95
| spl3_92 ),
inference(avatar_split_clause,[],[f118,f692,f705,f766,f749]) ).
fof(f118,plain,
( e1 = op(e3,e0)
| e1 = op(e2,e0)
| e1 = op(e1,e0)
| op(e0,e0) = e1 ),
inference(cnf_transformation,[],[f2]) ).
fof(f756,plain,
( spl3_105
| spl3_106
| spl3_88
| spl3_82 ),
inference(avatar_split_clause,[],[f117,f648,f674,f753,f749]) ).
fof(f117,plain,
( e1 = op(e0,e3)
| e1 = op(e0,e2)
| e1 = op(e0,e1)
| op(e0,e0) = e1 ),
inference(cnf_transformation,[],[f2]) ).
fof(f746,plain,
( spl3_101
| spl3_102
| spl3_103
| spl3_104 ),
inference(avatar_split_clause,[],[f115,f743,f739,f735,f731]) ).
fof(f115,plain,
( e0 = op(e0,e3)
| e0 = op(e0,e2)
| e0 = op(e0,e1)
| e0 = op(e0,e0) ),
inference(cnf_transformation,[],[f2]) ).
fof(f729,plain,
( ~ spl3_98
| ~ spl3_99
| ~ spl3_100 ),
inference(avatar_split_clause,[],[f230,f726,f722,f718]) ).
fof(f230,plain,
( e3 != op(e2,e1)
| e0 != op(e1,e1)
| e2 != op(e1,e0) ),
inference(inner_rewriting,[],[f229]) ).
fof(f229,plain,
( e3 != op(op(e1,e0),e1)
| e0 != op(e1,e1)
| e2 != op(e1,e0) ),
inference(inner_rewriting,[],[f192]) ).
fof(f192,plain,
( e3 != op(op(e1,op(e1,e1)),e1)
| e0 != op(e1,e1)
| e2 != op(e1,op(e1,e1)) ),
inference(cnf_transformation,[],[f43]) ).
fof(f43,plain,
( e3 != op(op(e1,op(e1,e1)),e1)
| e0 != op(e1,e1)
| e2 != op(e1,op(e1,e1)) ),
inference(ennf_transformation,[],[f19]) ).
fof(f19,axiom,
~ ( e3 = op(op(e1,op(e1,e1)),e1)
& e0 = op(e1,e1)
& e2 = op(e1,op(e1,e1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax19) ).
fof(f716,plain,
( ~ spl3_95
| ~ spl3_96
| ~ spl3_97 ),
inference(avatar_split_clause,[],[f218,f713,f709,f705]) ).
fof(f218,plain,
( e3 != op(e1,e2)
| e0 != op(e2,e2)
| e1 != op(e2,e0) ),
inference(inner_rewriting,[],[f217]) ).
fof(f217,plain,
( e3 != op(op(e2,e0),e2)
| e0 != op(e2,e2)
| e1 != op(e2,e0) ),
inference(inner_rewriting,[],[f186]) ).
fof(f186,plain,
( e3 != op(op(e2,op(e2,e2)),e2)
| e0 != op(e2,e2)
| e1 != op(e2,op(e2,e2)) ),
inference(cnf_transformation,[],[f37]) ).
fof(f37,plain,
( e3 != op(op(e2,op(e2,e2)),e2)
| e0 != op(e2,e2)
| e1 != op(e2,op(e2,e2)) ),
inference(ennf_transformation,[],[f13]) ).
fof(f13,axiom,
~ ( e3 = op(op(e2,op(e2,e2)),e2)
& e0 = op(e2,e2)
& e1 = op(e2,op(e2,e2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax13) ).
fof(f703,plain,
( ~ spl3_92
| ~ spl3_93
| ~ spl3_94 ),
inference(avatar_split_clause,[],[f216,f700,f696,f692]) ).
fof(f216,plain,
( e2 != op(e1,e3)
| e0 != op(e3,e3)
| e1 != op(e3,e0) ),
inference(inner_rewriting,[],[f215]) ).
fof(f215,plain,
( e2 != op(op(e3,e0),e3)
| e0 != op(e3,e3)
| e1 != op(e3,e0) ),
inference(inner_rewriting,[],[f185]) ).
fof(f185,plain,
( e2 != op(op(e3,op(e3,e3)),e3)
| e0 != op(e3,e3)
| e1 != op(e3,op(e3,e3)) ),
inference(cnf_transformation,[],[f36]) ).
fof(f36,plain,
( e2 != op(op(e3,op(e3,e3)),e3)
| e0 != op(e3,e3)
| e1 != op(e3,op(e3,e3)) ),
inference(ennf_transformation,[],[f12]) ).
fof(f12,axiom,
~ ( e2 = op(op(e3,op(e3,e3)),e3)
& e0 = op(e3,e3)
& e1 = op(e3,op(e3,e3)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax12) ).
fof(f690,plain,
( ~ spl3_89
| ~ spl3_90
| ~ spl3_91 ),
inference(avatar_split_clause,[],[f214,f687,f683,f679]) ).
fof(f214,plain,
( e2 != op(e0,e1)
| e3 != op(e1,e1)
| e0 != op(e1,e3) ),
inference(inner_rewriting,[],[f213]) ).
fof(f213,plain,
( e2 != op(op(e1,e3),e1)
| e3 != op(e1,e1)
| e0 != op(e1,e3) ),
inference(inner_rewriting,[],[f184]) ).
fof(f184,plain,
( e2 != op(op(e1,op(e1,e1)),e1)
| e3 != op(e1,e1)
| e0 != op(e1,op(e1,e1)) ),
inference(cnf_transformation,[],[f35]) ).
fof(f35,plain,
( e2 != op(op(e1,op(e1,e1)),e1)
| e3 != op(e1,e1)
| e0 != op(e1,op(e1,e1)) ),
inference(ennf_transformation,[],[f11]) ).
fof(f11,axiom,
~ ( e2 = op(op(e1,op(e1,e1)),e1)
& e3 = op(e1,e1)
& e0 = op(e1,op(e1,e1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax11) ).
fof(f677,plain,
( ~ spl3_86
| ~ spl3_87
| ~ spl3_88 ),
inference(avatar_split_clause,[],[f212,f674,f670,f666]) ).
fof(f212,plain,
( e1 != op(e0,e2)
| e3 != op(e2,e2)
| e0 != op(e2,e3) ),
inference(inner_rewriting,[],[f211]) ).
fof(f211,plain,
( e1 != op(op(e2,e3),e2)
| e3 != op(e2,e2)
| e0 != op(e2,e3) ),
inference(inner_rewriting,[],[f183]) ).
fof(f183,plain,
( e1 != op(op(e2,op(e2,e2)),e2)
| e3 != op(e2,e2)
| e0 != op(e2,op(e2,e2)) ),
inference(cnf_transformation,[],[f34]) ).
fof(f34,plain,
( e1 != op(op(e2,op(e2,e2)),e2)
| e3 != op(e2,e2)
| e0 != op(e2,op(e2,e2)) ),
inference(ennf_transformation,[],[f10]) ).
fof(f10,axiom,
~ ( e1 = op(op(e2,op(e2,e2)),e2)
& e3 = op(e2,e2)
& e0 = op(e2,op(e2,e2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax10) ).
fof(f664,plain,
( ~ spl3_83
| ~ spl3_84
| ~ spl3_85 ),
inference(avatar_split_clause,[],[f210,f661,f657,f653]) ).
fof(f210,plain,
( e3 != op(e0,e1)
| e2 != op(e1,e1)
| e0 != op(e1,e2) ),
inference(inner_rewriting,[],[f209]) ).
fof(f209,plain,
( e3 != op(op(e1,e2),e1)
| e2 != op(e1,e1)
| e0 != op(e1,e2) ),
inference(inner_rewriting,[],[f182]) ).
fof(f182,plain,
( e3 != op(op(e1,op(e1,e1)),e1)
| e2 != op(e1,e1)
| e0 != op(e1,op(e1,e1)) ),
inference(cnf_transformation,[],[f33]) ).
fof(f33,plain,
( e3 != op(op(e1,op(e1,e1)),e1)
| e2 != op(e1,e1)
| e0 != op(e1,op(e1,e1)) ),
inference(ennf_transformation,[],[f9]) ).
fof(f9,axiom,
~ ( e3 = op(op(e1,op(e1,e1)),e1)
& e2 = op(e1,e1)
& e0 = op(e1,op(e1,e1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax9) ).
fof(f651,plain,
( ~ spl3_80
| ~ spl3_81
| ~ spl3_82 ),
inference(avatar_split_clause,[],[f208,f648,f644,f640]) ).
fof(f208,plain,
( e1 != op(e0,e3)
| e2 != op(e3,e3)
| e0 != op(e3,e2) ),
inference(inner_rewriting,[],[f207]) ).
fof(f207,plain,
( e1 != op(op(e3,e2),e3)
| e2 != op(e3,e3)
| e0 != op(e3,e2) ),
inference(inner_rewriting,[],[f181]) ).
fof(f181,plain,
( e1 != op(op(e3,op(e3,e3)),e3)
| e2 != op(e3,e3)
| e0 != op(e3,op(e3,e3)) ),
inference(cnf_transformation,[],[f32]) ).
fof(f32,plain,
( e1 != op(op(e3,op(e3,e3)),e3)
| e2 != op(e3,e3)
| e0 != op(e3,op(e3,e3)) ),
inference(ennf_transformation,[],[f8]) ).
fof(f8,axiom,
~ ( e1 = op(op(e3,op(e3,e3)),e3)
& e2 = op(e3,e3)
& e0 = op(e3,op(e3,e3)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax8) ).
fof(f638,plain,
( ~ spl3_77
| ~ spl3_78
| ~ spl3_79 ),
inference(avatar_split_clause,[],[f206,f635,f631,f627]) ).
fof(f206,plain,
( e3 != op(e0,e2)
| e1 != op(e2,e2)
| e0 != op(e2,e1) ),
inference(inner_rewriting,[],[f205]) ).
fof(f205,plain,
( e3 != op(op(e2,e1),e2)
| e1 != op(e2,e2)
| e0 != op(e2,e1) ),
inference(inner_rewriting,[],[f180]) ).
fof(f180,plain,
( e3 != op(op(e2,op(e2,e2)),e2)
| e1 != op(e2,e2)
| e0 != op(e2,op(e2,e2)) ),
inference(cnf_transformation,[],[f31]) ).
fof(f31,plain,
( e3 != op(op(e2,op(e2,e2)),e2)
| e1 != op(e2,e2)
| e0 != op(e2,op(e2,e2)) ),
inference(ennf_transformation,[],[f7]) ).
fof(f7,axiom,
~ ( e3 = op(op(e2,op(e2,e2)),e2)
& e1 = op(e2,e2)
& e0 = op(e2,op(e2,e2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax7) ).
fof(f625,plain,
( ~ spl3_74
| ~ spl3_75
| ~ spl3_76 ),
inference(avatar_split_clause,[],[f204,f622,f618,f614]) ).
fof(f204,plain,
( e2 != op(e0,e3)
| e1 != op(e3,e3)
| e0 != op(e3,e1) ),
inference(inner_rewriting,[],[f203]) ).
fof(f203,plain,
( e2 != op(op(e3,e1),e3)
| e1 != op(e3,e3)
| e0 != op(e3,e1) ),
inference(inner_rewriting,[],[f179]) ).
fof(f179,plain,
( e2 != op(op(e3,op(e3,e3)),e3)
| e1 != op(e3,e3)
| e0 != op(e3,op(e3,e3)) ),
inference(cnf_transformation,[],[f30]) ).
fof(f30,plain,
( e2 != op(op(e3,op(e3,e3)),e3)
| e1 != op(e3,e3)
| e0 != op(e3,op(e3,e3)) ),
inference(ennf_transformation,[],[f6]) ).
fof(f6,axiom,
~ ( e2 = op(op(e3,op(e3,e3)),e3)
& e1 = op(e3,e3)
& e0 = op(e3,op(e3,e3)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax6) ).
fof(f612,plain,
( ~ spl3_57
| spl3_73 ),
inference(avatar_split_clause,[],[f170,f609,f531]) ).
fof(f531,plain,
( spl3_57
<=> sP1 ),
introduced(avatar_definition,[new_symbols(naming,[spl3_57])]) ).
fof(f170,plain,
( e3 = op(op(e1,e3),op(e1,e3))
| ~ sP1 ),
inference(cnf_transformation,[],[f59]) ).
fof(f59,plain,
( ( e3 = op(op(e1,e3),op(e1,e3))
& e2 = op(op(e1,e2),op(e1,e2))
& e1 = op(op(e1,e1),op(e1,e1))
& e0 = op(op(e1,e0),op(e1,e0)) )
| ~ sP1 ),
inference(nnf_transformation,[],[f55]) ).
fof(f55,plain,
( ( e3 = op(op(e1,e3),op(e1,e3))
& e2 = op(op(e1,e2),op(e1,e2))
& e1 = op(op(e1,e1),op(e1,e1))
& e0 = op(op(e1,e0),op(e1,e0)) )
| ~ sP1 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])]) ).
fof(f607,plain,
( spl3_59
| spl3_57
| spl3_55
| spl3_72 ),
inference(avatar_split_clause,[],[f178,f604,f522,f531,f540]) ).
fof(f540,plain,
( spl3_59
<=> sP0 ),
introduced(avatar_definition,[new_symbols(naming,[spl3_59])]) ).
fof(f522,plain,
( spl3_55
<=> sP2 ),
introduced(avatar_definition,[new_symbols(naming,[spl3_55])]) ).
fof(f178,plain,
( e3 = op(op(e3,e3),op(e3,e3))
| sP2
| sP1
| sP0 ),
inference(cnf_transformation,[],[f57]) ).
fof(f57,plain,
( ( e3 = op(op(e3,e3),op(e3,e3))
& e2 = op(op(e3,e2),op(e3,e2))
& e1 = op(op(e3,e1),op(e3,e1))
& e0 = op(op(e3,e0),op(e3,e0)) )
| sP2
| sP1
| sP0 ),
inference(definition_folding,[],[f5,f56,f55,f54]) ).
fof(f54,plain,
( ( e3 = op(op(e0,e3),op(e0,e3))
& e2 = op(op(e0,e2),op(e0,e2))
& e1 = op(op(e0,e1),op(e0,e1))
& e0 = op(op(e0,e0),op(e0,e0)) )
| ~ sP0 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
fof(f56,plain,
( ( e3 = op(op(e2,e3),op(e2,e3))
& e2 = op(op(e2,e2),op(e2,e2))
& e1 = op(op(e2,e1),op(e2,e1))
& e0 = op(op(e2,e0),op(e2,e0)) )
| ~ sP2 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP2])]) ).
fof(f5,axiom,
( ( e3 = op(op(e3,e3),op(e3,e3))
& e2 = op(op(e3,e2),op(e3,e2))
& e1 = op(op(e3,e1),op(e3,e1))
& e0 = op(op(e3,e0),op(e3,e0)) )
| ( e3 = op(op(e2,e3),op(e2,e3))
& e2 = op(op(e2,e2),op(e2,e2))
& e1 = op(op(e2,e1),op(e2,e1))
& e0 = op(op(e2,e0),op(e2,e0)) )
| ( e3 = op(op(e1,e3),op(e1,e3))
& e2 = op(op(e1,e2),op(e1,e2))
& e1 = op(op(e1,e1),op(e1,e1))
& e0 = op(op(e1,e0),op(e1,e0)) )
| ( e3 = op(op(e0,e3),op(e0,e3))
& e2 = op(op(e0,e2),op(e0,e2))
& e1 = op(op(e0,e1),op(e0,e1))
& e0 = op(op(e0,e0),op(e0,e0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax5) ).
fof(f602,plain,
( ~ spl3_59
| spl3_71 ),
inference(avatar_split_clause,[],[f174,f599,f540]) ).
fof(f174,plain,
( e3 = op(op(e0,e3),op(e0,e3))
| ~ sP0 ),
inference(cnf_transformation,[],[f60]) ).
fof(f60,plain,
( ( e3 = op(op(e0,e3),op(e0,e3))
& e2 = op(op(e0,e2),op(e0,e2))
& e1 = op(op(e0,e1),op(e0,e1))
& e0 = op(op(e0,e0),op(e0,e0)) )
| ~ sP0 ),
inference(nnf_transformation,[],[f54]) ).
fof(f597,plain,
( ~ spl3_55
| spl3_70 ),
inference(avatar_split_clause,[],[f166,f594,f522]) ).
fof(f166,plain,
( e3 = op(op(e2,e3),op(e2,e3))
| ~ sP2 ),
inference(cnf_transformation,[],[f58]) ).
fof(f58,plain,
( ( e3 = op(op(e2,e3),op(e2,e3))
& e2 = op(op(e2,e2),op(e2,e2))
& e1 = op(op(e2,e1),op(e2,e1))
& e0 = op(op(e2,e0),op(e2,e0)) )
| ~ sP2 ),
inference(nnf_transformation,[],[f56]) ).
fof(f592,plain,
( ~ spl3_57
| spl3_69 ),
inference(avatar_split_clause,[],[f169,f589,f531]) ).
fof(f169,plain,
( e2 = op(op(e1,e2),op(e1,e2))
| ~ sP1 ),
inference(cnf_transformation,[],[f59]) ).
fof(f587,plain,
( spl3_59
| spl3_57
| spl3_55
| spl3_68 ),
inference(avatar_split_clause,[],[f177,f584,f522,f531,f540]) ).
fof(f177,plain,
( e2 = op(op(e3,e2),op(e3,e2))
| sP2
| sP1
| sP0 ),
inference(cnf_transformation,[],[f57]) ).
fof(f582,plain,
( ~ spl3_59
| spl3_67 ),
inference(avatar_split_clause,[],[f173,f579,f540]) ).
fof(f173,plain,
( e2 = op(op(e0,e2),op(e0,e2))
| ~ sP0 ),
inference(cnf_transformation,[],[f60]) ).
fof(f577,plain,
( ~ spl3_55
| spl3_66 ),
inference(avatar_split_clause,[],[f165,f574,f522]) ).
fof(f165,plain,
( e2 = op(op(e2,e2),op(e2,e2))
| ~ sP2 ),
inference(cnf_transformation,[],[f58]) ).
fof(f572,plain,
( ~ spl3_57
| spl3_65 ),
inference(avatar_split_clause,[],[f168,f569,f531]) ).
fof(f168,plain,
( e1 = op(op(e1,e1),op(e1,e1))
| ~ sP1 ),
inference(cnf_transformation,[],[f59]) ).
fof(f567,plain,
( spl3_59
| spl3_57
| spl3_55
| spl3_64 ),
inference(avatar_split_clause,[],[f176,f564,f522,f531,f540]) ).
fof(f176,plain,
( e1 = op(op(e3,e1),op(e3,e1))
| sP2
| sP1
| sP0 ),
inference(cnf_transformation,[],[f57]) ).
fof(f562,plain,
( ~ spl3_59
| spl3_63 ),
inference(avatar_split_clause,[],[f172,f559,f540]) ).
fof(f172,plain,
( e1 = op(op(e0,e1),op(e0,e1))
| ~ sP0 ),
inference(cnf_transformation,[],[f60]) ).
fof(f557,plain,
( ~ spl3_55
| spl3_62 ),
inference(avatar_split_clause,[],[f164,f554,f522]) ).
fof(f164,plain,
( e1 = op(op(e2,e1),op(e2,e1))
| ~ sP2 ),
inference(cnf_transformation,[],[f58]) ).
fof(f552,plain,
( spl3_59
| spl3_57
| spl3_55
| spl3_61 ),
inference(avatar_split_clause,[],[f175,f549,f522,f531,f540]) ).
fof(f175,plain,
( e0 = op(op(e3,e0),op(e3,e0))
| sP2
| sP1
| sP0 ),
inference(cnf_transformation,[],[f57]) ).
fof(f547,plain,
( ~ spl3_59
| spl3_60 ),
inference(avatar_split_clause,[],[f171,f544,f540]) ).
fof(f171,plain,
( e0 = op(op(e0,e0),op(e0,e0))
| ~ sP0 ),
inference(cnf_transformation,[],[f60]) ).
fof(f538,plain,
( ~ spl3_57
| spl3_58 ),
inference(avatar_split_clause,[],[f167,f535,f531]) ).
fof(f167,plain,
( e0 = op(op(e1,e0),op(e1,e0))
| ~ sP1 ),
inference(cnf_transformation,[],[f59]) ).
fof(f529,plain,
( ~ spl3_55
| spl3_56 ),
inference(avatar_split_clause,[],[f163,f526,f522]) ).
fof(f163,plain,
( e0 = op(op(e2,e0),op(e2,e0))
| ~ sP2 ),
inference(cnf_transformation,[],[f58]) ).
fof(f520,plain,
~ spl3_54,
inference(avatar_split_clause,[],[f114,f517]) ).
fof(f114,plain,
op(e3,e2) != op(e3,e3),
inference(cnf_transformation,[],[f3]) ).
fof(f3,axiom,
( op(e3,e2) != op(e3,e3)
& op(e3,e1) != op(e3,e3)
& op(e3,e1) != op(e3,e2)
& op(e3,e0) != op(e3,e3)
& op(e3,e0) != op(e3,e2)
& op(e3,e0) != op(e3,e1)
& op(e2,e2) != op(e2,e3)
& op(e2,e1) != op(e2,e3)
& op(e2,e1) != op(e2,e2)
& op(e2,e0) != op(e2,e3)
& op(e2,e0) != op(e2,e2)
& op(e2,e0) != op(e2,e1)
& op(e1,e2) != op(e1,e3)
& op(e1,e1) != op(e1,e3)
& op(e1,e1) != op(e1,e2)
& op(e1,e0) != op(e1,e3)
& op(e1,e0) != op(e1,e2)
& op(e1,e0) != op(e1,e1)
& op(e0,e2) != op(e0,e3)
& op(e0,e1) != op(e0,e3)
& op(e0,e1) != op(e0,e2)
& op(e0,e0) != op(e0,e3)
& op(e0,e0) != op(e0,e2)
& op(e0,e0) != op(e0,e1)
& op(e2,e3) != op(e3,e3)
& op(e1,e3) != op(e3,e3)
& op(e1,e3) != op(e2,e3)
& op(e0,e3) != op(e3,e3)
& op(e0,e3) != op(e2,e3)
& op(e0,e3) != op(e1,e3)
& op(e2,e2) != op(e3,e2)
& op(e1,e2) != op(e3,e2)
& op(e1,e2) != op(e2,e2)
& op(e0,e2) != op(e3,e2)
& op(e0,e2) != op(e2,e2)
& op(e0,e2) != op(e1,e2)
& op(e2,e1) != op(e3,e1)
& op(e1,e1) != op(e3,e1)
& op(e1,e1) != op(e2,e1)
& op(e0,e1) != op(e3,e1)
& op(e0,e1) != op(e2,e1)
& op(e0,e1) != op(e1,e1)
& op(e2,e0) != op(e3,e0)
& op(e1,e0) != op(e3,e0)
& op(e1,e0) != op(e2,e0)
& op(e0,e0) != op(e3,e0)
& op(e0,e0) != op(e2,e0)
& op(e0,e0) != op(e1,e0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax3) ).
fof(f515,plain,
~ spl3_53,
inference(avatar_split_clause,[],[f113,f512]) ).
fof(f113,plain,
op(e3,e1) != op(e3,e3),
inference(cnf_transformation,[],[f3]) ).
fof(f510,plain,
~ spl3_52,
inference(avatar_split_clause,[],[f112,f507]) ).
fof(f507,plain,
( spl3_52
<=> op(e3,e1) = op(e3,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_52])]) ).
fof(f112,plain,
op(e3,e1) != op(e3,e2),
inference(cnf_transformation,[],[f3]) ).
fof(f505,plain,
~ spl3_51,
inference(avatar_split_clause,[],[f111,f502]) ).
fof(f111,plain,
op(e3,e0) != op(e3,e3),
inference(cnf_transformation,[],[f3]) ).
fof(f500,plain,
~ spl3_50,
inference(avatar_split_clause,[],[f110,f497]) ).
fof(f497,plain,
( spl3_50
<=> op(e3,e0) = op(e3,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_50])]) ).
fof(f110,plain,
op(e3,e0) != op(e3,e2),
inference(cnf_transformation,[],[f3]) ).
fof(f495,plain,
~ spl3_49,
inference(avatar_split_clause,[],[f109,f492]) ).
fof(f492,plain,
( spl3_49
<=> op(e3,e0) = op(e3,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_49])]) ).
fof(f109,plain,
op(e3,e0) != op(e3,e1),
inference(cnf_transformation,[],[f3]) ).
fof(f490,plain,
~ spl3_48,
inference(avatar_split_clause,[],[f108,f487]) ).
fof(f487,plain,
( spl3_48
<=> op(e2,e2) = op(e2,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_48])]) ).
fof(f108,plain,
op(e2,e2) != op(e2,e3),
inference(cnf_transformation,[],[f3]) ).
fof(f485,plain,
~ spl3_47,
inference(avatar_split_clause,[],[f107,f482]) ).
fof(f482,plain,
( spl3_47
<=> op(e2,e1) = op(e2,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_47])]) ).
fof(f107,plain,
op(e2,e1) != op(e2,e3),
inference(cnf_transformation,[],[f3]) ).
fof(f480,plain,
~ spl3_46,
inference(avatar_split_clause,[],[f106,f477]) ).
fof(f477,plain,
( spl3_46
<=> op(e2,e1) = op(e2,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_46])]) ).
fof(f106,plain,
op(e2,e1) != op(e2,e2),
inference(cnf_transformation,[],[f3]) ).
fof(f475,plain,
~ spl3_45,
inference(avatar_split_clause,[],[f105,f472]) ).
fof(f472,plain,
( spl3_45
<=> op(e2,e0) = op(e2,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_45])]) ).
fof(f105,plain,
op(e2,e0) != op(e2,e3),
inference(cnf_transformation,[],[f3]) ).
fof(f470,plain,
~ spl3_44,
inference(avatar_split_clause,[],[f104,f467]) ).
fof(f104,plain,
op(e2,e0) != op(e2,e2),
inference(cnf_transformation,[],[f3]) ).
fof(f465,plain,
~ spl3_43,
inference(avatar_split_clause,[],[f103,f462]) ).
fof(f462,plain,
( spl3_43
<=> op(e2,e0) = op(e2,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_43])]) ).
fof(f103,plain,
op(e2,e0) != op(e2,e1),
inference(cnf_transformation,[],[f3]) ).
fof(f460,plain,
~ spl3_42,
inference(avatar_split_clause,[],[f102,f457]) ).
fof(f457,plain,
( spl3_42
<=> op(e1,e2) = op(e1,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_42])]) ).
fof(f102,plain,
op(e1,e2) != op(e1,e3),
inference(cnf_transformation,[],[f3]) ).
fof(f455,plain,
~ spl3_41,
inference(avatar_split_clause,[],[f101,f452]) ).
fof(f101,plain,
op(e1,e1) != op(e1,e3),
inference(cnf_transformation,[],[f3]) ).
fof(f450,plain,
~ spl3_40,
inference(avatar_split_clause,[],[f100,f447]) ).
fof(f447,plain,
( spl3_40
<=> op(e1,e1) = op(e1,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_40])]) ).
fof(f100,plain,
op(e1,e1) != op(e1,e2),
inference(cnf_transformation,[],[f3]) ).
fof(f445,plain,
~ spl3_39,
inference(avatar_split_clause,[],[f99,f442]) ).
fof(f442,plain,
( spl3_39
<=> op(e1,e0) = op(e1,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_39])]) ).
fof(f99,plain,
op(e1,e0) != op(e1,e3),
inference(cnf_transformation,[],[f3]) ).
fof(f440,plain,
~ spl3_38,
inference(avatar_split_clause,[],[f98,f437]) ).
fof(f98,plain,
op(e1,e0) != op(e1,e2),
inference(cnf_transformation,[],[f3]) ).
fof(f435,plain,
~ spl3_37,
inference(avatar_split_clause,[],[f97,f432]) ).
fof(f97,plain,
op(e1,e0) != op(e1,e1),
inference(cnf_transformation,[],[f3]) ).
fof(f430,plain,
~ spl3_36,
inference(avatar_split_clause,[],[f96,f427]) ).
fof(f427,plain,
( spl3_36
<=> op(e0,e2) = op(e0,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_36])]) ).
fof(f96,plain,
op(e0,e2) != op(e0,e3),
inference(cnf_transformation,[],[f3]) ).
fof(f425,plain,
~ spl3_35,
inference(avatar_split_clause,[],[f95,f422]) ).
fof(f95,plain,
op(e0,e1) != op(e0,e3),
inference(cnf_transformation,[],[f3]) ).
fof(f420,plain,
~ spl3_34,
inference(avatar_split_clause,[],[f94,f417]) ).
fof(f94,plain,
op(e0,e1) != op(e0,e2),
inference(cnf_transformation,[],[f3]) ).
fof(f415,plain,
~ spl3_33,
inference(avatar_split_clause,[],[f93,f412]) ).
fof(f412,plain,
( spl3_33
<=> op(e0,e0) = op(e0,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_33])]) ).
fof(f93,plain,
op(e0,e0) != op(e0,e3),
inference(cnf_transformation,[],[f3]) ).
fof(f410,plain,
~ spl3_32,
inference(avatar_split_clause,[],[f92,f407]) ).
fof(f407,plain,
( spl3_32
<=> op(e0,e0) = op(e0,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_32])]) ).
fof(f92,plain,
op(e0,e0) != op(e0,e2),
inference(cnf_transformation,[],[f3]) ).
fof(f405,plain,
~ spl3_31,
inference(avatar_split_clause,[],[f91,f402]) ).
fof(f402,plain,
( spl3_31
<=> op(e0,e0) = op(e0,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_31])]) ).
fof(f91,plain,
op(e0,e0) != op(e0,e1),
inference(cnf_transformation,[],[f3]) ).
fof(f400,plain,
~ spl3_30,
inference(avatar_split_clause,[],[f90,f397]) ).
fof(f90,plain,
op(e2,e3) != op(e3,e3),
inference(cnf_transformation,[],[f3]) ).
fof(f395,plain,
~ spl3_29,
inference(avatar_split_clause,[],[f89,f392]) ).
fof(f392,plain,
( spl3_29
<=> op(e1,e3) = op(e3,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_29])]) ).
fof(f89,plain,
op(e1,e3) != op(e3,e3),
inference(cnf_transformation,[],[f3]) ).
fof(f390,plain,
~ spl3_28,
inference(avatar_split_clause,[],[f88,f387]) ).
fof(f387,plain,
( spl3_28
<=> op(e1,e3) = op(e2,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_28])]) ).
fof(f88,plain,
op(e1,e3) != op(e2,e3),
inference(cnf_transformation,[],[f3]) ).
fof(f385,plain,
~ spl3_27,
inference(avatar_split_clause,[],[f87,f382]) ).
fof(f87,plain,
op(e0,e3) != op(e3,e3),
inference(cnf_transformation,[],[f3]) ).
fof(f380,plain,
~ spl3_26,
inference(avatar_split_clause,[],[f86,f377]) ).
fof(f86,plain,
op(e0,e3) != op(e2,e3),
inference(cnf_transformation,[],[f3]) ).
fof(f375,plain,
~ spl3_25,
inference(avatar_split_clause,[],[f85,f372]) ).
fof(f372,plain,
( spl3_25
<=> op(e0,e3) = op(e1,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_25])]) ).
fof(f85,plain,
op(e0,e3) != op(e1,e3),
inference(cnf_transformation,[],[f3]) ).
fof(f370,plain,
~ spl3_24,
inference(avatar_split_clause,[],[f84,f367]) ).
fof(f84,plain,
op(e2,e2) != op(e3,e2),
inference(cnf_transformation,[],[f3]) ).
fof(f365,plain,
~ spl3_23,
inference(avatar_split_clause,[],[f83,f362]) ).
fof(f362,plain,
( spl3_23
<=> op(e1,e2) = op(e3,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_23])]) ).
fof(f83,plain,
op(e1,e2) != op(e3,e2),
inference(cnf_transformation,[],[f3]) ).
fof(f360,plain,
~ spl3_22,
inference(avatar_split_clause,[],[f82,f357]) ).
fof(f82,plain,
op(e1,e2) != op(e2,e2),
inference(cnf_transformation,[],[f3]) ).
fof(f355,plain,
~ spl3_21,
inference(avatar_split_clause,[],[f81,f352]) ).
fof(f81,plain,
op(e0,e2) != op(e3,e2),
inference(cnf_transformation,[],[f3]) ).
fof(f350,plain,
~ spl3_20,
inference(avatar_split_clause,[],[f80,f347]) ).
fof(f80,plain,
op(e0,e2) != op(e2,e2),
inference(cnf_transformation,[],[f3]) ).
fof(f345,plain,
~ spl3_19,
inference(avatar_split_clause,[],[f79,f342]) ).
fof(f79,plain,
op(e0,e2) != op(e1,e2),
inference(cnf_transformation,[],[f3]) ).
fof(f340,plain,
~ spl3_18,
inference(avatar_split_clause,[],[f78,f337]) ).
fof(f337,plain,
( spl3_18
<=> op(e2,e1) = op(e3,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_18])]) ).
fof(f78,plain,
op(e2,e1) != op(e3,e1),
inference(cnf_transformation,[],[f3]) ).
fof(f335,plain,
~ spl3_17,
inference(avatar_split_clause,[],[f77,f332]) ).
fof(f332,plain,
( spl3_17
<=> op(e1,e1) = op(e3,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_17])]) ).
fof(f77,plain,
op(e1,e1) != op(e3,e1),
inference(cnf_transformation,[],[f3]) ).
fof(f330,plain,
~ spl3_16,
inference(avatar_split_clause,[],[f76,f327]) ).
fof(f327,plain,
( spl3_16
<=> op(e1,e1) = op(e2,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_16])]) ).
fof(f76,plain,
op(e1,e1) != op(e2,e1),
inference(cnf_transformation,[],[f3]) ).
fof(f325,plain,
~ spl3_15,
inference(avatar_split_clause,[],[f75,f322]) ).
fof(f75,plain,
op(e0,e1) != op(e3,e1),
inference(cnf_transformation,[],[f3]) ).
fof(f320,plain,
~ spl3_14,
inference(avatar_split_clause,[],[f74,f317]) ).
fof(f74,plain,
op(e0,e1) != op(e2,e1),
inference(cnf_transformation,[],[f3]) ).
fof(f315,plain,
~ spl3_13,
inference(avatar_split_clause,[],[f73,f312]) ).
fof(f73,plain,
op(e0,e1) != op(e1,e1),
inference(cnf_transformation,[],[f3]) ).
fof(f310,plain,
~ spl3_12,
inference(avatar_split_clause,[],[f72,f307]) ).
fof(f72,plain,
op(e2,e0) != op(e3,e0),
inference(cnf_transformation,[],[f3]) ).
fof(f305,plain,
~ spl3_11,
inference(avatar_split_clause,[],[f71,f302]) ).
fof(f302,plain,
( spl3_11
<=> op(e1,e0) = op(e3,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_11])]) ).
fof(f71,plain,
op(e1,e0) != op(e3,e0),
inference(cnf_transformation,[],[f3]) ).
fof(f300,plain,
~ spl3_10,
inference(avatar_split_clause,[],[f70,f297]) ).
fof(f70,plain,
op(e1,e0) != op(e2,e0),
inference(cnf_transformation,[],[f3]) ).
fof(f295,plain,
~ spl3_9,
inference(avatar_split_clause,[],[f69,f292]) ).
fof(f292,plain,
( spl3_9
<=> op(e0,e0) = op(e3,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_9])]) ).
fof(f69,plain,
op(e0,e0) != op(e3,e0),
inference(cnf_transformation,[],[f3]) ).
fof(f290,plain,
~ spl3_8,
inference(avatar_split_clause,[],[f68,f287]) ).
fof(f287,plain,
( spl3_8
<=> op(e0,e0) = op(e2,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_8])]) ).
fof(f68,plain,
op(e0,e0) != op(e2,e0),
inference(cnf_transformation,[],[f3]) ).
fof(f285,plain,
~ spl3_7,
inference(avatar_split_clause,[],[f67,f282]) ).
fof(f282,plain,
( spl3_7
<=> op(e0,e0) = op(e1,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_7])]) ).
fof(f67,plain,
op(e0,e0) != op(e1,e0),
inference(cnf_transformation,[],[f3]) ).
fof(f280,plain,
~ spl3_6,
inference(avatar_split_clause,[],[f66,f277]) ).
fof(f66,plain,
e2 != e3,
inference(cnf_transformation,[],[f4]) ).
fof(f4,axiom,
( e2 != e3
& e1 != e3
& e1 != e2
& e0 != e3
& e0 != e2
& e0 != e1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax4) ).
fof(f275,plain,
~ spl3_5,
inference(avatar_split_clause,[],[f65,f272]) ).
fof(f65,plain,
e1 != e3,
inference(cnf_transformation,[],[f4]) ).
fof(f270,plain,
~ spl3_4,
inference(avatar_split_clause,[],[f64,f267]) ).
fof(f64,plain,
e1 != e2,
inference(cnf_transformation,[],[f4]) ).
fof(f265,plain,
~ spl3_3,
inference(avatar_split_clause,[],[f63,f262]) ).
fof(f63,plain,
e0 != e3,
inference(cnf_transformation,[],[f4]) ).
fof(f260,plain,
~ spl3_2,
inference(avatar_split_clause,[],[f62,f257]) ).
fof(f62,plain,
e0 != e2,
inference(cnf_transformation,[],[f4]) ).
fof(f255,plain,
~ spl3_1,
inference(avatar_split_clause,[],[f61,f252]) ).
fof(f61,plain,
e0 != e1,
inference(cnf_transformation,[],[f4]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.13 % Problem : ALG141+1 : TPTP v8.1.2. Released v2.7.0.
% 0.10/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.35 % Computer : n024.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Fri May 3 19:58:53 EDT 2024
% 0.15/0.35 % CPUTime :
% 0.15/0.35 % (26742)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.37 % (26748)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on theBenchmark for (531ds/0Mi)
% 0.15/0.37 % (26750)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on theBenchmark for (497ds/0Mi)
% 0.15/0.37 % (26746)WARNING: value z3 for option sas not known
% 0.15/0.37 % (26749)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on theBenchmark for (522ds/0Mi)
% 0.15/0.37 % (26747)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.15/0.37 % (26745)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.15/0.37 % (26746)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on theBenchmark for (569ds/0Mi)
% 0.15/0.38 % (26744)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.15/0.39 Detected minimum model sizes of [4]
% 0.15/0.39 Detected maximum model sizes of [max]
% 0.15/0.39 TRYING [4]
% 0.15/0.40 TRYING [5]
% 0.20/0.42 Detected minimum model sizes of [4]
% 0.20/0.42 Detected maximum model sizes of [max]
% 0.20/0.42 TRYING [6]
% 0.20/0.42 TRYING [4]
% 0.20/0.45 TRYING [7]
% 0.20/0.47 TRYING [5]
% 0.20/0.48 TRYING [8]
% 0.20/0.51 TRYING [6]
% 0.20/0.53 TRYING [9]
% 1.67/0.59 TRYING [10]
% 1.81/0.62 TRYING [7]
% 2.10/0.66 TRYING [11]
% 2.10/0.71 TRYING [8]
% 2.73/0.74 TRYING [12]
% 3.09/0.82 TRYING [13]
% 3.09/0.84 TRYING [9]
% 4.20/0.95 TRYING [14]
% 4.20/0.96 TRYING [10]
% 5.20/1.11 TRYING [15]
% 5.20/1.14 TRYING [11]
% 6.29/1.30 TRYING [16]
% 6.74/1.34 TRYING [12]
% 7.10/1.38 % (26748)First to succeed.
% 7.10/1.41 % (26748)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-26742"
% 7.10/1.41 % (26748)Refutation found. Thanks to Tanya!
% 7.10/1.41 % SZS status Unsatisfiable for theBenchmark
% 7.10/1.41 % SZS output start Proof for theBenchmark
% See solution above
% 7.10/1.44 % (26748)------------------------------
% 7.10/1.44 % (26748)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 7.10/1.44 % (26748)Termination reason: Refutation
% 7.10/1.44
% 7.10/1.44 % (26748)Memory used [KB]: 5989
% 7.10/1.44 % (26748)Time elapsed: 1.039 s
% 7.10/1.44 % (26748)Instructions burned: 2612 (million)
% 7.10/1.44 % (26742)Success in time 1.075 s
%------------------------------------------------------------------------------