TSTP Solution File: ALG132+1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : ALG132+1 : TPTP v8.2.0. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n013.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Mon May 20 18:32:35 EDT 2024
% Result : Unsatisfiable 4.03s 0.97s
% Output : Refutation 4.03s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 166
% Syntax : Number of formulae : 2787 ( 109 unt; 0 def)
% Number of atoms : 12555 (4979 equ)
% Maximal formula atoms : 128 ( 4 avg)
% Number of connectives : 16302 (6534 ~;9458 |; 173 &)
% ( 137 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 49 ( 5 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(f24522,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,f733,f747,f760,f777,f782,f802,f811,f820,f827,f842,f847,f852,f861,f864,f899,f909,f911,f928,f932,f942,f953,f959,f966,f970,f997,f1022,f1024,f1042,f1045,f1048,f1059,f1075,f1084,f1103,f1106,f1118,f1129,f1139,f1141,f1153,f1155,f1159,f1165,f1169,f1196,f1200,f1212,f1234,f1258,f1264,f1289,f1304,f1327,f1367,f1378,f1400,f1432,f1445,f1474,f1480,f1490,f1495,f1499,f1558,f1618,f1644,f1655,f1711,f1754,f1812,f1875,f1882,f1902,f1932,f1948,f1990,f2022,f2033,f2045,f2055,f2091,f2140,f2160,f2170,f2239,f2254,f2268,f2282,f2291,f2295,f2317,f2372,f2449,f2477,f2517,f2537,f2541,f2548,f2601,f2607,f2638,f2674,f2699,f2730,f2755,f2780,f2826,f2831,f2843,f2880,f2898,f2939,f2947,f2948,f2960,f2980,f2987,f3003,f3011,f3028,f3045,f3093,f3111,f3115,f3146,f3154,f3253,f3312,f3327,f3409,f3450,f3513,f3527,f3581,f3632,f3634,f3654,f3664,f3700,f3713,f3716,f3728,f3738,f3748,f3752,f3754,f3761,f3795,f3819,f3867,f3915,f3916,f3921,f3968,f3979,f4008,f4055,f4084,f4091,f4093,f4106,f4123,f4160,f4175,f4213,f4225,f4237,f4244,f4245,f4257,f4277,f4290,f4345,f4382,f4384,f4401,f4412,f4414,f4417,f4444,f4447,f4457,f4474,f4491,f4531,f4567,f4595,f4617,f4628,f4653,f4690,f4723,f4742,f4772,f4782,f4825,f4827,f4836,f4886,f4908,f4921,f4986,f5009,f5038,f5120,f5180,f5241,f5288,f5302,f5307,f5313,f5315,f5357,f5382,f5413,f5415,f5436,f5442,f5497,f5556,f5571,f5622,f5633,f5645,f5651,f5682,f5723,f5740,f5751,f5840,f5959,f6023,f6041,f6085,f6088,f6194,f6277,f6340,f6427,f6475,f6534,f6558,f6616,f6629,f6652,f6681,f6723,f6813,f6855,f6915,f6945,f6996,f6998,f7002,f7026,f7028,f7037,f7055,f7088,f7130,f7158,f7167,f7255,f7331,f7481,f7514,f7536,f7618,f7675,f7733,f7735,f7737,f7745,f7761,f7821,f7851,f7882,f7964,f7968,f8051,f8057,f8133,f8146,f8169,f8210,f8226,f8231,f8236,f8357,f8463,f8528,f8541,f8613,f8748,f8921,f9037,f9069,f9137,f9170,f9207,f9256,f9327,f9338,f9442,f9444,f9478,f9569,f9571,f9576,f9599,f9631,f9665,f9684,f9742,f9758,f9795,f9837,f9841,f9846,f9865,f9871,f9881,f9892,f9927,f9940,f10040,f10043,f10056,f10079,f10135,f10147,f10173,f10210,f10256,f10258,f10271,f10310,f10331,f10359,f10381,f10436,f10474,f10512,f10524,f10611,f10675,f10692,f10712,f10735,f10738,f10771,f10782,f10784,f10825,f10860,f10877,f10895,f10906,f10907,f10930,f10988,f11064,f11066,f11072,f11074,f11078,f11095,f11098,f11114,f11127,f11163,f11216,f11231,f11240,f11273,f11307,f11333,f11345,f11347,f11354,f11459,f11474,f11517,f11543,f11546,f11704,f11779,f11865,f11919,f11952,f11981,f11984,f11987,f11994,f12006,f12013,f12042,f12044,f12078,f12109,f12258,f12261,f12352,f12479,f12575,f12579,f12587,f12593,f12607,f12614,f12644,f12676,f12678,f12686,f12704,f12706,f12716,f12718,f12722,f12729,f12741,f12743,f12752,f12765,f12772,f12784,f12875,f12889,f12955,f13086,f13088,f13089,f13106,f13180,f13238,f13250,f13262,f13284,f13295,f13309,f13317,f13359,f13364,f13365,f13497,f13583,f13589,f13648,f13687,f13766,f13844,f13913,f13971,f13973,f13977,f14066,f14146,f14149,f14198,f14201,f14205,f14346,f14431,f14485,f14492,f14495,f14519,f14549,f14550,f14654,f14708,f14760,f14770,f14857,f14943,f15042,f15139,f15260,f15365,f15392,f15398,f15405,f15407,f15409,f15429,f15449,f15451,f15454,f15525,f15637,f15727,f15779,f15800,f15926,f15937,f15942,f16002,f16006,f16102,f16139,f16235,f16243,f16323,f16359,f16376,f16491,f16496,f16591,f16593,f16600,f16626,f16628,f16635,f16637,f16665,f16687,f16708,f16736,f16742,f16783,f16822,f16825,f16836,f16865,f16866,f16955,f16985,f16988,f17000,f17091,f17100,f17105,f17184,f17188,f17195,f17217,f17236,f17280,f17288,f17341,f17449,f17452,f17457,f17458,f17542,f17552,f17569,f17659,f17715,f17717,f17721,f17791,f17845,f17946,f18020,f18025,f18034,f18037,f18186,f18202,f18204,f18221,f18247,f18311,f18314,f18344,f18481,f18518,f18632,f18633,f18636,f18658,f18663,f18667,f18699,f18701,f18708,f18731,f18785,f18788,f18826,f18889,f18896,f19045,f19112,f19116,f19127,f19213,f19216,f19258,f19321,f19395,f19453,f19567,f19584,f19593,f19714,f19716,f19718,f19738,f19802,f19804,f19840,f19889,f19891,f19899,f19902,f19915,f19917,f20052,f20057,f20156,f20310,f20320,f20391,f20396,f20400,f20427,f20567,f20610,f20646,f20648,f20687,f20706,f20717,f20720,f20722,f20765,f20776,f20782,f20836,f20843,f20860,f20873,f20885,f20896,f20970,f20972,f21109,f21111,f21121,f21230,f21234,f21236,f21250,f21252,f21258,f21264,f21275,f21359,f21371,f21413,f21490,f21496,f21549,f21555,f21567,f21731,f21734,f21828,f21837,f21889,f21891,f21915,f21973,f22125,f22135,f22160,f22192,f22423,f22541,f22548,f22553,f22624,f22688,f22706,f22807,f22891,f22898,f22901,f22983,f23031,f23150,f23154,f23178,f23203,f23205,f23207,f23243,f23276,f23280,f23337,f23342,f23430,f23433,f23439,f23472,f23474,f23496,f23638,f23641,f23644,f23658,f23774,f23784,f23939,f23946,f23954,f23956,f23974,f23984,f23988,f23999,f24098,f24104,f24142,f24143,f24155,f24181,f24214,f24240,f24261,f24375,f24380,f24501,f24521]) ).
fof(f24521,plain,
( spl3_3
| ~ spl3_73
| ~ spl3_77
| ~ spl3_137 ),
inference(avatar_split_clause,[],[f12719,f10132,f627,f609,f262]) ).
fof(f262,plain,
( spl3_3
<=> e0 = e3 ),
introduced(avatar_definition,[new_symbols(naming,[spl3_3])]) ).
fof(f609,plain,
( spl3_73
<=> e3 = op(e3,op(e1,e3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_73])]) ).
fof(f627,plain,
( spl3_77
<=> e0 = op(e3,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_77])]) ).
fof(f10132,plain,
( spl3_137
<=> e3 = op(e1,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_137])]) ).
fof(f12719,plain,
( e0 = e3
| ~ spl3_73
| ~ spl3_77
| ~ spl3_137 ),
inference(forward_demodulation,[],[f10140,f628]) ).
fof(f628,plain,
( e0 = op(e3,e3)
| ~ spl3_77 ),
inference(avatar_component_clause,[],[f627]) ).
fof(f10140,plain,
( e3 = op(e3,e3)
| ~ spl3_73
| ~ spl3_137 ),
inference(superposition,[],[f611,f10134]) ).
fof(f10134,plain,
( e3 = op(e1,e3)
| ~ spl3_137 ),
inference(avatar_component_clause,[],[f10132]) ).
fof(f611,plain,
( e3 = op(e3,op(e1,e3))
| ~ spl3_73 ),
inference(avatar_component_clause,[],[f609]) ).
fof(f24501,plain,
( spl3_137
| spl3_3
| ~ spl3_77
| ~ spl3_88
| ~ spl3_101 ),
inference(avatar_split_clause,[],[f24424,f730,f674,f627,f262,f10132]) ).
fof(f674,plain,
( spl3_88
<=> e0 = op(e2,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_88])]) ).
fof(f730,plain,
( spl3_101
<=> e0 = op(e0,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_101])]) ).
fof(f24424,plain,
( e0 = e3
| e3 = op(e1,e3)
| ~ spl3_77
| ~ spl3_88
| ~ spl3_101 ),
inference(duplicate_literal_removal,[],[f24423]) ).
fof(f24423,plain,
( e0 = e3
| e0 = e3
| e3 = op(e1,e3)
| ~ spl3_77
| ~ spl3_88
| ~ spl3_101 ),
inference(forward_demodulation,[],[f23213,f732]) ).
fof(f732,plain,
( e0 = op(e0,e3)
| ~ spl3_101 ),
inference(avatar_component_clause,[],[f730]) ).
fof(f23213,plain,
( e0 = e3
| e3 = op(e1,e3)
| e3 = op(e0,e3)
| ~ spl3_77
| ~ spl3_88 ),
inference(duplicate_literal_removal,[],[f18756]) ).
fof(f18756,plain,
( e0 = e3
| e0 = e3
| e3 = op(e1,e3)
| e3 = op(e0,e3)
| ~ spl3_77
| ~ spl3_88 ),
inference(forward_demodulation,[],[f5851,f675]) ).
fof(f675,plain,
( e0 = op(e2,e3)
| ~ spl3_88 ),
inference(avatar_component_clause,[],[f674]) ).
fof(f5851,plain,
( e0 = e3
| e3 = op(e2,e3)
| e3 = op(e1,e3)
| e3 = op(e0,e3)
| ~ spl3_77 ),
inference(forward_demodulation,[],[f146,f628]) ).
fof(f146,plain,
( e3 = op(e3,e3)
| e3 = op(e2,e3)
| e3 = op(e1,e3)
| e3 = op(e0,e3) ),
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/sandbox/benchmark/theBenchmark.p',ax2) ).
fof(f24380,plain,
( spl3_136
| spl3_2
| spl3_4
| ~ spl3_77
| ~ spl3_104
| ~ spl3_130 ),
inference(avatar_split_clause,[],[f24292,f1477,f744,f627,f267,f257,f3629]) ).
fof(f3629,plain,
( spl3_136
<=> e2 = op(e2,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_136])]) ).
fof(f257,plain,
( spl3_2
<=> e0 = e2 ),
introduced(avatar_definition,[new_symbols(naming,[spl3_2])]) ).
fof(f267,plain,
( spl3_4
<=> e1 = e2 ),
introduced(avatar_definition,[new_symbols(naming,[spl3_4])]) ).
fof(f744,plain,
( spl3_104
<=> e1 = op(e0,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_104])]) ).
fof(f1477,plain,
( spl3_130
<=> e1 = op(e1,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_130])]) ).
fof(f24292,plain,
( e1 = e2
| e0 = e2
| e2 = op(e2,e3)
| ~ spl3_77
| ~ spl3_104
| ~ spl3_130 ),
inference(duplicate_literal_removal,[],[f24291]) ).
fof(f24291,plain,
( e1 = e2
| e0 = e2
| e1 = e2
| e2 = op(e2,e3)
| ~ spl3_77
| ~ spl3_104
| ~ spl3_130 ),
inference(forward_demodulation,[],[f23296,f1478]) ).
fof(f1478,plain,
( e1 = op(e1,e3)
| ~ spl3_130 ),
inference(avatar_component_clause,[],[f1477]) ).
fof(f23296,plain,
( e0 = e2
| e1 = e2
| e2 = op(e2,e3)
| e2 = op(e1,e3)
| ~ spl3_77
| ~ spl3_104 ),
inference(forward_demodulation,[],[f20177,f628]) ).
fof(f20177,plain,
( e1 = e2
| e2 = op(e3,e3)
| e2 = op(e2,e3)
| e2 = op(e1,e3)
| ~ spl3_104 ),
inference(forward_demodulation,[],[f144,f746]) ).
fof(f746,plain,
( e1 = op(e0,e3)
| ~ spl3_104 ),
inference(avatar_component_clause,[],[f744]) ).
fof(f144,plain,
( e2 = op(e3,e3)
| e2 = op(e2,e3)
| e2 = op(e1,e3)
| e2 = op(e0,e3) ),
inference(cnf_transformation,[],[f2]) ).
fof(f24375,plain,
( ~ spl3_101
| spl3_61
| ~ spl3_121 ),
inference(avatar_split_clause,[],[f23567,f1039,f549,f730]) ).
fof(f549,plain,
( spl3_61
<=> e0 = op(e0,op(e3,e0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_61])]) ).
fof(f1039,plain,
( spl3_121
<=> e3 = op(e3,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_121])]) ).
fof(f23567,plain,
( e0 != op(e0,e3)
| spl3_61
| ~ spl3_121 ),
inference(forward_demodulation,[],[f550,f1041]) ).
fof(f1041,plain,
( e3 = op(e3,e0)
| ~ spl3_121 ),
inference(avatar_component_clause,[],[f1039]) ).
fof(f550,plain,
( e0 != op(e0,op(e3,e0))
| spl3_61 ),
inference(avatar_component_clause,[],[f549]) ).
fof(f24261,plain,
( spl3_81
| spl3_88
| spl3_2
| spl3_3
| ~ spl3_120
| ~ spl3_133 ),
inference(avatar_split_clause,[],[f13199,f2279,f1035,f262,f257,f674,f644]) ).
fof(f644,plain,
( spl3_81
<=> e0 = op(e2,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_81])]) ).
fof(f1035,plain,
( spl3_120
<=> e3 = op(e2,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_120])]) ).
fof(f2279,plain,
( spl3_133
<=> e2 = op(e2,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_133])]) ).
fof(f13199,plain,
( e0 = e3
| e0 = e2
| e0 = op(e2,e3)
| e0 = op(e2,e1)
| ~ spl3_120
| ~ spl3_133 ),
inference(forward_demodulation,[],[f5506,f1037]) ).
fof(f1037,plain,
( e3 = op(e2,e0)
| ~ spl3_120 ),
inference(avatar_component_clause,[],[f1035]) ).
fof(f5506,plain,
( e0 = e2
| e0 = op(e2,e3)
| e0 = op(e2,e1)
| e0 = op(e2,e0)
| ~ spl3_133 ),
inference(forward_demodulation,[],[f131,f2281]) ).
fof(f2281,plain,
( e2 = op(e2,e2)
| ~ spl3_133 ),
inference(avatar_component_clause,[],[f2279]) ).
fof(f131,plain,
( e0 = op(e2,e3)
| e0 = op(e2,e2)
| e0 = op(e2,e1)
| e0 = op(e2,e0) ),
inference(cnf_transformation,[],[f2]) ).
fof(f24240,plain,
( spl3_80
| spl3_5
| spl3_1
| ~ spl3_90
| ~ spl3_91
| ~ spl3_93 ),
inference(avatar_split_clause,[],[f24224,f696,f687,f683,f252,f272,f640]) ).
fof(f640,plain,
( spl3_80
<=> e1 = op(e2,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_80])]) ).
fof(f272,plain,
( spl3_5
<=> e1 = e3 ),
introduced(avatar_definition,[new_symbols(naming,[spl3_5])]) ).
fof(f252,plain,
( spl3_1
<=> e0 = e1 ),
introduced(avatar_definition,[new_symbols(naming,[spl3_1])]) ).
fof(f683,plain,
( spl3_90
<=> e0 = op(e1,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_90])]) ).
fof(f687,plain,
( spl3_91
<=> e3 = op(e0,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_91])]) ).
fof(f696,plain,
( spl3_93
<=> e0 = op(e3,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_93])]) ).
fof(f24224,plain,
( e0 = e1
| e1 = e3
| e1 = op(e2,e2)
| ~ spl3_90
| ~ spl3_91
| ~ spl3_93 ),
inference(duplicate_literal_removal,[],[f24223]) ).
fof(f24223,plain,
( e0 = e1
| e1 = e3
| e0 = e1
| e1 = op(e2,e2)
| ~ spl3_90
| ~ spl3_91
| ~ spl3_93 ),
inference(forward_demodulation,[],[f24152,f697]) ).
fof(f697,plain,
( e0 = op(e3,e2)
| ~ spl3_93 ),
inference(avatar_component_clause,[],[f696]) ).
fof(f24152,plain,
( e1 = e3
| e0 = e1
| e1 = op(e3,e2)
| e1 = op(e2,e2)
| ~ spl3_90
| ~ spl3_91 ),
inference(forward_demodulation,[],[f10082,f688]) ).
fof(f688,plain,
( e3 = op(e0,e2)
| ~ spl3_91 ),
inference(avatar_component_clause,[],[f687]) ).
fof(f10082,plain,
( e0 = e1
| e1 = op(e3,e2)
| e1 = op(e2,e2)
| e1 = op(e0,e2)
| ~ spl3_90 ),
inference(forward_demodulation,[],[f134,f684]) ).
fof(f684,plain,
( e0 = op(e1,e2)
| ~ spl3_90 ),
inference(avatar_component_clause,[],[f683]) ).
fof(f134,plain,
( e1 = op(e3,e2)
| e1 = op(e2,e2)
| e1 = op(e1,e2)
| e1 = op(e0,e2) ),
inference(cnf_transformation,[],[f2]) ).
fof(f24214,plain,
( spl3_80
| spl3_1
| spl3_4
| spl3_5
| ~ spl3_91
| ~ spl3_93
| ~ spl3_122 ),
inference(avatar_split_clause,[],[f24193,f1072,f696,f687,f272,f267,f252,f640]) ).
fof(f1072,plain,
( spl3_122
<=> e2 = op(e1,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_122])]) ).
fof(f24193,plain,
( e1 = e3
| e1 = e2
| e0 = e1
| e1 = op(e2,e2)
| ~ spl3_91
| ~ spl3_93
| ~ spl3_122 ),
inference(forward_demodulation,[],[f24192,f688]) ).
fof(f24192,plain,
( e1 = e2
| e0 = e1
| e1 = op(e2,e2)
| e1 = op(e0,e2)
| ~ spl3_93
| ~ spl3_122 ),
inference(forward_demodulation,[],[f21768,f1074]) ).
fof(f1074,plain,
( e2 = op(e1,e2)
| ~ spl3_122 ),
inference(avatar_component_clause,[],[f1072]) ).
fof(f21768,plain,
( e0 = e1
| e1 = op(e2,e2)
| e1 = op(e1,e2)
| e1 = op(e0,e2)
| ~ spl3_93 ),
inference(forward_demodulation,[],[f134,f697]) ).
fof(f24181,plain,
( ~ spl3_134
| ~ spl3_91
| ~ spl3_106 ),
inference(avatar_split_clause,[],[f24160,f766,f687,f2369]) ).
fof(f2369,plain,
( spl3_134
<=> e1 = op(e3,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_134])]) ).
fof(f766,plain,
( spl3_106
<=> op(e0,e0) = e2 ),
introduced(avatar_definition,[new_symbols(naming,[spl3_106])]) ).
fof(f24160,plain,
( e1 != op(e3,e2)
| ~ spl3_91
| ~ spl3_106 ),
inference(trivial_inequality_removal,[],[f24159]) ).
fof(f24159,plain,
( e2 != e2
| e1 != op(e3,e2)
| ~ spl3_91
| ~ spl3_106 ),
inference(forward_demodulation,[],[f24158,f768]) ).
fof(f768,plain,
( op(e0,e0) = e2
| ~ spl3_106 ),
inference(avatar_component_clause,[],[f766]) ).
fof(f24158,plain,
( e1 != op(e3,e2)
| op(e0,e0) != e2
| ~ spl3_91 ),
inference(trivial_inequality_removal,[],[f24157]) ).
fof(f24157,plain,
( e3 != e3
| e1 != op(e3,e2)
| op(e0,e0) != e2
| ~ spl3_91 ),
inference(forward_demodulation,[],[f244,f688]) ).
fof(f244,plain,
( e1 != op(e3,e2)
| e3 != op(e0,e2)
| op(e0,e0) != e2 ),
inference(inner_rewriting,[],[f243]) ).
fof(f243,plain,
( e1 != op(e3,op(e0,e0))
| e3 != op(e0,op(e0,e0))
| op(e0,e0) != e2 ),
inference(inner_rewriting,[],[f199]) ).
fof(f199,plain,
( e1 != op(op(e0,op(e0,e0)),op(e0,e0))
| e3 != op(e0,op(e0,e0))
| op(e0,e0) != e2 ),
inference(cnf_transformation,[],[f50]) ).
fof(f50,plain,
( e1 != op(op(e0,op(e0,e0)),op(e0,e0))
| e3 != op(e0,op(e0,e0))
| op(e0,e0) != e2 ),
inference(ennf_transformation,[],[f22]) ).
fof(f22,axiom,
~ ( e1 = op(op(e0,op(e0,e0)),op(e0,e0))
& e3 = op(e0,op(e0,e0))
& op(e0,e0) = e2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax22) ).
fof(f24155,plain,
( spl3_134
| spl3_83
| spl3_1
| spl3_5
| ~ spl3_117
| ~ spl3_126 ),
inference(avatar_split_clause,[],[f24016,f1126,f906,f272,f252,f653,f2369]) ).
fof(f653,plain,
( spl3_83
<=> e1 = op(e3,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_83])]) ).
fof(f906,plain,
( spl3_117
<=> e0 = op(e3,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_117])]) ).
fof(f1126,plain,
( spl3_126
<=> e3 = op(e3,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_126])]) ).
fof(f24016,plain,
( e1 = e3
| e0 = e1
| e1 = op(e3,e3)
| e1 = op(e3,e2)
| ~ spl3_117
| ~ spl3_126 ),
inference(forward_demodulation,[],[f19345,f1128]) ).
fof(f1128,plain,
( e3 = op(e3,e1)
| ~ spl3_126 ),
inference(avatar_component_clause,[],[f1126]) ).
fof(f19345,plain,
( e0 = e1
| e1 = op(e3,e3)
| e1 = op(e3,e2)
| e1 = op(e3,e1)
| ~ spl3_117 ),
inference(forward_demodulation,[],[f141,f908]) ).
fof(f908,plain,
( e0 = op(e3,e0)
| ~ spl3_117 ),
inference(avatar_component_clause,[],[f906]) ).
fof(f141,plain,
( e1 = op(e3,e3)
| e1 = op(e3,e2)
| e1 = op(e3,e1)
| e1 = op(e3,e0) ),
inference(cnf_transformation,[],[f2]) ).
fof(f24143,plain,
( spl3_134
| spl3_4
| spl3_1
| spl3_5
| ~ spl3_90
| ~ spl3_91
| ~ spl3_133 ),
inference(avatar_split_clause,[],[f24119,f2279,f687,f683,f272,f252,f267,f2369]) ).
fof(f24119,plain,
( e1 = e3
| e0 = e1
| e1 = e2
| e1 = op(e3,e2)
| ~ spl3_90
| ~ spl3_91
| ~ spl3_133 ),
inference(forward_demodulation,[],[f16158,f688]) ).
fof(f16158,plain,
( e0 = e1
| e1 = e2
| e1 = op(e3,e2)
| e1 = op(e0,e2)
| ~ spl3_90
| ~ spl3_133 ),
inference(forward_demodulation,[],[f5454,f684]) ).
fof(f5454,plain,
( e1 = e2
| e1 = op(e3,e2)
| e1 = op(e1,e2)
| e1 = op(e0,e2)
| ~ spl3_133 ),
inference(forward_demodulation,[],[f134,f2281]) ).
fof(f24142,plain,
( ~ spl3_86
| spl3_41
| ~ spl3_137 ),
inference(avatar_split_clause,[],[f19587,f10132,f452,f666]) ).
fof(f666,plain,
( spl3_86
<=> e3 = op(e1,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_86])]) ).
fof(f452,plain,
( spl3_41
<=> op(e1,e1) = op(e1,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_41])]) ).
fof(f19587,plain,
( e3 != op(e1,e1)
| spl3_41
| ~ spl3_137 ),
inference(superposition,[],[f454,f10134]) ).
fof(f454,plain,
( op(e1,e1) != op(e1,e3)
| spl3_41 ),
inference(avatar_component_clause,[],[f452]) ).
fof(f24104,plain,
( spl3_133
| spl3_2
| spl3_4
| spl3_6
| ~ spl3_81
| ~ spl3_96
| ~ spl3_120 ),
inference(avatar_split_clause,[],[f24017,f1035,f709,f644,f277,f267,f257,f2279]) ).
fof(f277,plain,
( spl3_6
<=> e2 = e3 ),
introduced(avatar_definition,[new_symbols(naming,[spl3_6])]) ).
fof(f709,plain,
( spl3_96
<=> e1 = op(e2,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_96])]) ).
fof(f24017,plain,
( e2 = e3
| e1 = e2
| e0 = e2
| e2 = op(e2,e2)
| ~ spl3_81
| ~ spl3_96
| ~ spl3_120 ),
inference(forward_demodulation,[],[f20504,f1037]) ).
fof(f20504,plain,
( e1 = e2
| e0 = e2
| e2 = op(e2,e2)
| e2 = op(e2,e0)
| ~ spl3_81
| ~ spl3_96 ),
inference(forward_demodulation,[],[f10739,f710]) ).
fof(f710,plain,
( e1 = op(e2,e3)
| ~ spl3_96 ),
inference(avatar_component_clause,[],[f709]) ).
fof(f10739,plain,
( e0 = e2
| e2 = op(e2,e3)
| e2 = op(e2,e2)
| e2 = op(e2,e0)
| ~ spl3_81 ),
inference(forward_demodulation,[],[f135,f645]) ).
fof(f645,plain,
( e0 = op(e2,e1)
| ~ spl3_81 ),
inference(avatar_component_clause,[],[f644]) ).
fof(f135,plain,
( e2 = op(e2,e3)
| e2 = op(e2,e2)
| e2 = op(e2,e1)
| e2 = op(e2,e0) ),
inference(cnf_transformation,[],[f2]) ).
fof(f24098,plain,
( ~ spl3_105
| spl3_65
| ~ spl3_109 ),
inference(avatar_split_clause,[],[f14714,f799,f569,f757]) ).
fof(f757,plain,
( spl3_105
<=> e1 = op(e1,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_105])]) ).
fof(f569,plain,
( spl3_65
<=> e1 = op(e1,op(e1,e1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_65])]) ).
fof(f799,plain,
( spl3_109
<=> e0 = op(e1,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_109])]) ).
fof(f14714,plain,
( e1 != op(e1,e0)
| spl3_65
| ~ spl3_109 ),
inference(forward_demodulation,[],[f570,f801]) ).
fof(f801,plain,
( e0 = op(e1,e1)
| ~ spl3_109 ),
inference(avatar_component_clause,[],[f799]) ).
fof(f570,plain,
( e1 != op(e1,op(e1,e1))
| spl3_65 ),
inference(avatar_component_clause,[],[f569]) ).
fof(f23999,plain,
( spl3_134
| spl3_83
| spl3_4
| spl3_5
| ~ spl3_121
| ~ spl3_131 ),
inference(avatar_split_clause,[],[f16876,f1483,f1039,f272,f267,f653,f2369]) ).
fof(f1483,plain,
( spl3_131
<=> e2 = op(e3,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_131])]) ).
fof(f16876,plain,
( e1 = e3
| e1 = e2
| e1 = op(e3,e3)
| e1 = op(e3,e2)
| ~ spl3_121
| ~ spl3_131 ),
inference(forward_demodulation,[],[f4478,f1041]) ).
fof(f4478,plain,
( e1 = e2
| e1 = op(e3,e3)
| e1 = op(e3,e2)
| e1 = op(e3,e0)
| ~ spl3_131 ),
inference(forward_demodulation,[],[f141,f1485]) ).
fof(f1485,plain,
( e2 = op(e3,e1)
| ~ spl3_131 ),
inference(avatar_component_clause,[],[f1483]) ).
fof(f23988,plain,
( spl3_81
| spl3_84
| spl3_3
| spl3_1
| ~ spl3_86
| ~ spl3_103 ),
inference(avatar_split_clause,[],[f9183,f740,f666,f252,f262,f657,f644]) ).
fof(f657,plain,
( spl3_84
<=> e0 = op(e3,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_84])]) ).
fof(f740,plain,
( spl3_103
<=> e1 = op(e0,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_103])]) ).
fof(f9183,plain,
( e0 = e1
| e0 = e3
| e0 = op(e3,e1)
| e0 = op(e2,e1)
| ~ spl3_86
| ~ spl3_103 ),
inference(forward_demodulation,[],[f3147,f742]) ).
fof(f742,plain,
( e1 = op(e0,e1)
| ~ spl3_103 ),
inference(avatar_component_clause,[],[f740]) ).
fof(f3147,plain,
( e0 = e3
| e0 = op(e3,e1)
| e0 = op(e2,e1)
| e0 = op(e0,e1)
| ~ spl3_86 ),
inference(forward_demodulation,[],[f124,f667]) ).
fof(f667,plain,
( e3 = op(e1,e1)
| ~ spl3_86 ),
inference(avatar_component_clause,[],[f666]) ).
fof(f124,plain,
( e0 = op(e3,e1)
| e0 = op(e2,e1)
| e0 = op(e1,e1)
| e0 = op(e0,e1) ),
inference(cnf_transformation,[],[f2]) ).
fof(f23984,plain,
( spl3_84
| spl3_3
| spl3_2
| spl3_1
| ~ spl3_86
| ~ spl3_103
| ~ spl3_110 ),
inference(avatar_split_clause,[],[f23977,f808,f740,f666,f252,f257,f262,f657]) ).
fof(f808,plain,
( spl3_110
<=> e2 = op(e2,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_110])]) ).
fof(f23977,plain,
( e0 = e1
| e0 = e2
| e0 = e3
| e0 = op(e3,e1)
| ~ spl3_86
| ~ spl3_103
| ~ spl3_110 ),
inference(forward_demodulation,[],[f23976,f742]) ).
fof(f23976,plain,
( e0 = e2
| e0 = e3
| e0 = op(e3,e1)
| e0 = op(e0,e1)
| ~ spl3_86
| ~ spl3_110 ),
inference(forward_demodulation,[],[f3147,f809]) ).
fof(f809,plain,
( e2 = op(e2,e1)
| ~ spl3_110 ),
inference(avatar_component_clause,[],[f808]) ).
fof(f23974,plain,
( spl3_84
| spl3_2
| spl3_3
| spl3_1
| ~ spl3_69
| ~ spl3_86
| ~ spl3_103
| ~ spl3_119 ),
inference(avatar_split_clause,[],[f23869,f1019,f740,f666,f589,f252,f262,f257,f657]) ).
fof(f589,plain,
( spl3_69
<=> e2 = op(e2,op(e1,e2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_69])]) ).
fof(f1019,plain,
( spl3_119
<=> e1 = op(e1,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_119])]) ).
fof(f23869,plain,
( e0 = e1
| e0 = e3
| e0 = e2
| e0 = op(e3,e1)
| ~ spl3_69
| ~ spl3_86
| ~ spl3_103
| ~ spl3_119 ),
inference(forward_demodulation,[],[f13538,f742]) ).
fof(f13538,plain,
( e0 = e3
| e0 = e2
| e0 = op(e3,e1)
| e0 = op(e0,e1)
| ~ spl3_69
| ~ spl3_86
| ~ spl3_119 ),
inference(forward_demodulation,[],[f13379,f667]) ).
fof(f13379,plain,
( e0 = e2
| e0 = op(e3,e1)
| e0 = op(e1,e1)
| e0 = op(e0,e1)
| ~ spl3_69
| ~ spl3_119 ),
inference(forward_demodulation,[],[f124,f10243]) ).
fof(f10243,plain,
( e2 = op(e2,e1)
| ~ spl3_69
| ~ spl3_119 ),
inference(superposition,[],[f591,f1020]) ).
fof(f1020,plain,
( e1 = op(e1,e2)
| ~ spl3_119 ),
inference(avatar_component_clause,[],[f1019]) ).
fof(f591,plain,
( e2 = op(e2,op(e1,e2))
| ~ spl3_69 ),
inference(avatar_component_clause,[],[f589]) ).
fof(f23956,plain,
( spl3_132
| spl3_4
| spl3_6
| ~ spl3_91
| ~ spl3_95
| ~ spl3_119 ),
inference(avatar_split_clause,[],[f23831,f1019,f705,f687,f277,f267,f1487]) ).
fof(f1487,plain,
( spl3_132
<=> e2 = op(e3,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_132])]) ).
fof(f705,plain,
( spl3_95
<=> e3 = op(e2,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_95])]) ).
fof(f23831,plain,
( e2 = e3
| e1 = e2
| e2 = op(e3,e2)
| ~ spl3_91
| ~ spl3_95
| ~ spl3_119 ),
inference(duplicate_literal_removal,[],[f23830]) ).
fof(f23830,plain,
( e2 = e3
| e1 = e2
| e2 = e3
| e2 = op(e3,e2)
| ~ spl3_91
| ~ spl3_95
| ~ spl3_119 ),
inference(forward_demodulation,[],[f23441,f706]) ).
fof(f706,plain,
( e3 = op(e2,e2)
| ~ spl3_95 ),
inference(avatar_component_clause,[],[f705]) ).
fof(f23441,plain,
( e1 = e2
| e2 = e3
| e2 = op(e3,e2)
| e2 = op(e2,e2)
| ~ spl3_91
| ~ spl3_119 ),
inference(forward_demodulation,[],[f8478,f1020]) ).
fof(f8478,plain,
( e2 = e3
| e2 = op(e3,e2)
| e2 = op(e2,e2)
| e2 = op(e1,e2)
| ~ spl3_91 ),
inference(forward_demodulation,[],[f136,f688]) ).
fof(f136,plain,
( e2 = op(e3,e2)
| e2 = op(e2,e2)
| e2 = op(e1,e2)
| e2 = op(e0,e2) ),
inference(cnf_transformation,[],[f2]) ).
fof(f23954,plain,
( ~ spl3_100
| spl3_36
| ~ spl3_101 ),
inference(avatar_split_clause,[],[f17505,f730,f427,f726]) ).
fof(f726,plain,
( spl3_100
<=> e0 = op(e0,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_100])]) ).
fof(f427,plain,
( spl3_36
<=> op(e0,e2) = op(e0,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_36])]) ).
fof(f17505,plain,
( e0 != op(e0,e2)
| spl3_36
| ~ spl3_101 ),
inference(superposition,[],[f429,f732]) ).
fof(f429,plain,
( op(e0,e2) != op(e0,e3)
| spl3_36 ),
inference(avatar_component_clause,[],[f427]) ).
fof(f23946,plain,
( spl3_119
| ~ spl3_64
| ~ spl3_131 ),
inference(avatar_split_clause,[],[f23394,f1483,f564,f1019]) ).
fof(f564,plain,
( spl3_64
<=> e1 = op(e1,op(e3,e1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_64])]) ).
fof(f23394,plain,
( e1 = op(e1,e2)
| ~ spl3_64
| ~ spl3_131 ),
inference(forward_demodulation,[],[f566,f1485]) ).
fof(f566,plain,
( e1 = op(e1,op(e3,e1))
| ~ spl3_64 ),
inference(avatar_component_clause,[],[f564]) ).
fof(f23939,plain,
( spl3_110
| ~ spl3_69
| ~ spl3_119 ),
inference(avatar_split_clause,[],[f21656,f1019,f589,f808]) ).
fof(f21656,plain,
( e2 = op(e2,e1)
| ~ spl3_69
| ~ spl3_119 ),
inference(forward_demodulation,[],[f591,f1020]) ).
fof(f23784,plain,
( spl3_79
| spl3_89
| spl3_6
| spl3_4
| ~ spl3_128
| ~ spl3_130 ),
inference(avatar_split_clause,[],[f21239,f1477,f1189,f267,f277,f679,f635]) ).
fof(f635,plain,
( spl3_79
<=> e2 = op(e1,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_79])]) ).
fof(f679,plain,
( spl3_89
<=> e2 = op(e1,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_89])]) ).
fof(f1189,plain,
( spl3_128
<=> e3 = op(e1,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_128])]) ).
fof(f21239,plain,
( e1 = e2
| e2 = e3
| e2 = op(e1,e1)
| e2 = op(e1,e0)
| ~ spl3_128
| ~ spl3_130 ),
inference(forward_demodulation,[],[f20787,f1478]) ).
fof(f20787,plain,
( e2 = e3
| e2 = op(e1,e3)
| e2 = op(e1,e1)
| e2 = op(e1,e0)
| ~ spl3_128 ),
inference(forward_demodulation,[],[f127,f1191]) ).
fof(f1191,plain,
( e3 = op(e1,e2)
| ~ spl3_128 ),
inference(avatar_component_clause,[],[f1189]) ).
fof(f127,plain,
( e2 = op(e1,e3)
| e2 = op(e1,e2)
| e2 = op(e1,e1)
| e2 = op(e1,e0) ),
inference(cnf_transformation,[],[f2]) ).
fof(f23774,plain,
( spl3_126
| ~ spl3_73
| ~ spl3_130 ),
inference(avatar_split_clause,[],[f21317,f1477,f609,f1126]) ).
fof(f21317,plain,
( e3 = op(e3,e1)
| ~ spl3_73
| ~ spl3_130 ),
inference(forward_demodulation,[],[f611,f1478]) ).
fof(f23658,plain,
( spl3_77
| spl3_3
| spl3_2
| spl3_1
| ~ spl3_121
| ~ spl3_125
| ~ spl3_132 ),
inference(avatar_split_clause,[],[f23645,f1487,f1100,f1039,f252,f257,f262,f627]) ).
fof(f1100,plain,
( spl3_125
<=> e1 = op(e3,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_125])]) ).
fof(f23645,plain,
( e0 = e1
| e0 = e2
| e0 = e3
| e0 = op(e3,e3)
| ~ spl3_121
| ~ spl3_125
| ~ spl3_132 ),
inference(forward_demodulation,[],[f15082,f1102]) ).
fof(f1102,plain,
( e1 = op(e3,e1)
| ~ spl3_125 ),
inference(avatar_component_clause,[],[f1100]) ).
fof(f15082,plain,
( e0 = e2
| e0 = e3
| e0 = op(e3,e3)
| e0 = op(e3,e1)
| ~ spl3_121
| ~ spl3_132 ),
inference(forward_demodulation,[],[f9209,f1489]) ).
fof(f1489,plain,
( e2 = op(e3,e2)
| ~ spl3_132 ),
inference(avatar_component_clause,[],[f1487]) ).
fof(f9209,plain,
( e0 = e3
| e0 = op(e3,e3)
| e0 = op(e3,e2)
| e0 = op(e3,e1)
| ~ spl3_121 ),
inference(forward_demodulation,[],[f139,f1041]) ).
fof(f139,plain,
( e0 = op(e3,e3)
| e0 = op(e3,e2)
| e0 = op(e3,e1)
| e0 = op(e3,e0) ),
inference(cnf_transformation,[],[f2]) ).
fof(f23644,plain,
( spl3_137
| spl3_5
| spl3_6
| ~ spl3_92
| ~ spl3_96
| ~ spl3_108 ),
inference(avatar_split_clause,[],[f23545,f774,f709,f692,f277,f272,f10132]) ).
fof(f692,plain,
( spl3_92
<=> e2 = op(e3,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_92])]) ).
fof(f774,plain,
( spl3_108
<=> e2 = op(e0,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_108])]) ).
fof(f23545,plain,
( e2 = e3
| e1 = e3
| e3 = op(e1,e3)
| ~ spl3_92
| ~ spl3_96
| ~ spl3_108 ),
inference(duplicate_literal_removal,[],[f23544]) ).
fof(f23544,plain,
( e2 = e3
| e1 = e3
| e2 = e3
| e3 = op(e1,e3)
| ~ spl3_92
| ~ spl3_96
| ~ spl3_108 ),
inference(forward_demodulation,[],[f22846,f776]) ).
fof(f776,plain,
( e2 = op(e0,e3)
| ~ spl3_108 ),
inference(avatar_component_clause,[],[f774]) ).
fof(f22846,plain,
( e1 = e3
| e2 = e3
| e3 = op(e1,e3)
| e3 = op(e0,e3)
| ~ spl3_92
| ~ spl3_96 ),
inference(forward_demodulation,[],[f17611,f710]) ).
fof(f17611,plain,
( e2 = e3
| e3 = op(e2,e3)
| e3 = op(e1,e3)
| e3 = op(e0,e3)
| ~ spl3_92 ),
inference(forward_demodulation,[],[f146,f693]) ).
fof(f693,plain,
( e2 = op(e3,e3)
| ~ spl3_92 ),
inference(avatar_component_clause,[],[f692]) ).
fof(f23641,plain,
( ~ spl3_120
| spl3_12
| ~ spl3_121 ),
inference(avatar_split_clause,[],[f17702,f1039,f307,f1035]) ).
fof(f307,plain,
( spl3_12
<=> op(e2,e0) = op(e3,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_12])]) ).
fof(f17702,plain,
( e3 != op(e2,e0)
| spl3_12
| ~ spl3_121 ),
inference(superposition,[],[f309,f1041]) ).
fof(f309,plain,
( op(e2,e0) != op(e3,e0)
| spl3_12 ),
inference(avatar_component_clause,[],[f307]) ).
fof(f23638,plain,
( ~ spl3_99
| spl3_60
| ~ spl3_102 ),
inference(avatar_split_clause,[],[f22054,f736,f544,f722]) ).
fof(f722,plain,
( spl3_99
<=> e0 = op(e0,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_99])]) ).
fof(f544,plain,
( spl3_60
<=> e0 = op(e0,op(e0,e0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_60])]) ).
fof(f736,plain,
( spl3_102
<=> op(e0,e0) = e1 ),
introduced(avatar_definition,[new_symbols(naming,[spl3_102])]) ).
fof(f22054,plain,
( e0 != op(e0,e1)
| spl3_60
| ~ spl3_102 ),
inference(forward_demodulation,[],[f545,f738]) ).
fof(f738,plain,
( op(e0,e0) = e1
| ~ spl3_102 ),
inference(avatar_component_clause,[],[f736]) ).
fof(f545,plain,
( e0 != op(e0,op(e0,e0))
| spl3_60 ),
inference(avatar_component_clause,[],[f544]) ).
fof(f23496,plain,
( spl3_111
| ~ spl3_68
| ~ spl3_93 ),
inference(avatar_split_clause,[],[f17833,f696,f584,f813]) ).
fof(f813,plain,
( spl3_111
<=> e2 = op(e2,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_111])]) ).
fof(f584,plain,
( spl3_68
<=> e2 = op(e2,op(e3,e2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_68])]) ).
fof(f17833,plain,
( e2 = op(e2,e0)
| ~ spl3_68
| ~ spl3_93 ),
inference(forward_demodulation,[],[f586,f697]) ).
fof(f586,plain,
( e2 = op(e2,op(e3,e2))
| ~ spl3_68 ),
inference(avatar_component_clause,[],[f584]) ).
fof(f23474,plain,
( spl3_93
| spl3_77
| spl3_2
| spl3_1
| ~ spl3_78
| ~ spl3_131 ),
inference(avatar_split_clause,[],[f18842,f1483,f631,f252,f257,f627,f696]) ).
fof(f631,plain,
( spl3_78
<=> e1 = op(e3,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_78])]) ).
fof(f18842,plain,
( e0 = e1
| e0 = e2
| e0 = op(e3,e3)
| e0 = op(e3,e2)
| ~ spl3_78
| ~ spl3_131 ),
inference(forward_demodulation,[],[f16738,f632]) ).
fof(f632,plain,
( e1 = op(e3,e0)
| ~ spl3_78 ),
inference(avatar_component_clause,[],[f631]) ).
fof(f16738,plain,
( e0 = e2
| e0 = op(e3,e3)
| e0 = op(e3,e2)
| e0 = op(e3,e0)
| ~ spl3_131 ),
inference(forward_demodulation,[],[f139,f1485]) ).
fof(f23472,plain,
( ~ spl3_74
| spl3_48
| ~ spl3_88 ),
inference(avatar_split_clause,[],[f21677,f674,f487,f614]) ).
fof(f614,plain,
( spl3_74
<=> e0 = op(e2,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_74])]) ).
fof(f487,plain,
( spl3_48
<=> op(e2,e2) = op(e2,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_48])]) ).
fof(f21677,plain,
( e0 != op(e2,e2)
| spl3_48
| ~ spl3_88 ),
inference(superposition,[],[f489,f675]) ).
fof(f489,plain,
( op(e2,e2) != op(e2,e3)
| spl3_48 ),
inference(avatar_component_clause,[],[f487]) ).
fof(f23439,plain,
( ~ spl3_120
| ~ spl3_78
| ~ spl3_74 ),
inference(avatar_split_clause,[],[f23351,f614,f631,f1035]) ).
fof(f23351,plain,
( e1 != op(e3,e0)
| e3 != op(e2,e0)
| ~ spl3_74 ),
inference(trivial_inequality_removal,[],[f23350]) ).
fof(f23350,plain,
( e0 != e0
| e1 != op(e3,e0)
| e3 != op(e2,e0)
| ~ spl3_74 ),
inference(forward_demodulation,[],[f214,f615]) ).
fof(f615,plain,
( e0 = op(e2,e2)
| ~ spl3_74 ),
inference(avatar_component_clause,[],[f614]) ).
fof(f214,plain,
( e1 != op(e3,e0)
| e3 != op(e2,e0)
| e0 != op(e2,e2) ),
inference(inner_rewriting,[],[f213]) ).
fof(f213,plain,
( e1 != op(e3,op(e2,e2))
| e3 != op(e2,op(e2,e2))
| e0 != op(e2,e2) ),
inference(inner_rewriting,[],[f184]) ).
fof(f184,plain,
( e1 != op(op(e2,op(e2,e2)),op(e2,e2))
| e3 != op(e2,op(e2,e2))
| e0 != op(e2,e2) ),
inference(cnf_transformation,[],[f35]) ).
fof(f35,plain,
( e1 != op(op(e2,op(e2,e2)),op(e2,e2))
| e3 != op(e2,op(e2,e2))
| e0 != op(e2,e2) ),
inference(ennf_transformation,[],[f11]) ).
fof(f11,axiom,
~ ( e1 = op(op(e2,op(e2,e2)),op(e2,e2))
& e3 = op(e2,op(e2,e2))
& e0 = op(e2,e2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax11) ).
fof(f23433,plain,
( ~ spl3_136
| spl3_67
| ~ spl3_91 ),
inference(avatar_split_clause,[],[f17404,f687,f579,f3629]) ).
fof(f579,plain,
( spl3_67
<=> e2 = op(e2,op(e0,e2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_67])]) ).
fof(f17404,plain,
( e2 != op(e2,e3)
| spl3_67
| ~ spl3_91 ),
inference(superposition,[],[f580,f688]) ).
fof(f580,plain,
( e2 != op(e2,op(e0,e2))
| spl3_67 ),
inference(avatar_component_clause,[],[f579]) ).
fof(f23430,plain,
( ~ spl3_123
| spl3_62
| ~ spl3_124 ),
inference(avatar_split_clause,[],[f22643,f1096,f554,f1092]) ).
fof(f1092,plain,
( spl3_123
<=> e1 = op(e1,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_123])]) ).
fof(f554,plain,
( spl3_62
<=> e1 = op(e1,op(e2,e1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_62])]) ).
fof(f1096,plain,
( spl3_124
<=> e1 = op(e2,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_124])]) ).
fof(f22643,plain,
( e1 != op(e1,e1)
| spl3_62
| ~ spl3_124 ),
inference(forward_demodulation,[],[f555,f1098]) ).
fof(f1098,plain,
( e1 = op(e2,e1)
| ~ spl3_124 ),
inference(avatar_component_clause,[],[f1096]) ).
fof(f555,plain,
( e1 != op(e1,op(e2,e1))
| spl3_62 ),
inference(avatar_component_clause,[],[f554]) ).
fof(f23342,plain,
( spl3_134
| spl3_1
| spl3_4
| ~ spl3_74
| ~ spl3_90
| ~ spl3_107 ),
inference(avatar_split_clause,[],[f23310,f770,f683,f614,f267,f252,f2369]) ).
fof(f770,plain,
( spl3_107
<=> e2 = op(e0,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_107])]) ).
fof(f23310,plain,
( e1 = e2
| e0 = e1
| e1 = op(e3,e2)
| ~ spl3_74
| ~ spl3_90
| ~ spl3_107 ),
inference(forward_demodulation,[],[f22909,f772]) ).
fof(f772,plain,
( e2 = op(e0,e2)
| ~ spl3_107 ),
inference(avatar_component_clause,[],[f770]) ).
fof(f22909,plain,
( e0 = e1
| e1 = op(e3,e2)
| e1 = op(e0,e2)
| ~ spl3_74
| ~ spl3_90 ),
inference(duplicate_literal_removal,[],[f16070]) ).
fof(f16070,plain,
( e0 = e1
| e0 = e1
| e1 = op(e3,e2)
| e1 = op(e0,e2)
| ~ spl3_74
| ~ spl3_90 ),
inference(forward_demodulation,[],[f11130,f684]) ).
fof(f11130,plain,
( e0 = e1
| e1 = op(e3,e2)
| e1 = op(e1,e2)
| e1 = op(e0,e2)
| ~ spl3_74 ),
inference(forward_demodulation,[],[f134,f615]) ).
fof(f23337,plain,
( spl3_87
| spl3_4
| spl3_2
| ~ spl3_90
| ~ spl3_118
| ~ spl3_123 ),
inference(avatar_split_clause,[],[f23290,f1092,f950,f683,f257,f267,f670]) ).
fof(f670,plain,
( spl3_87
<=> e2 = op(e1,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_87])]) ).
fof(f950,plain,
( spl3_118
<=> e0 = op(e1,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_118])]) ).
fof(f23290,plain,
( e0 = e2
| e1 = e2
| e2 = op(e1,e3)
| ~ spl3_90
| ~ spl3_118
| ~ spl3_123 ),
inference(duplicate_literal_removal,[],[f23289]) ).
fof(f23289,plain,
( e0 = e2
| e0 = e2
| e1 = e2
| e2 = op(e1,e3)
| ~ spl3_90
| ~ spl3_118
| ~ spl3_123 ),
inference(forward_demodulation,[],[f20729,f684]) ).
fof(f20729,plain,
( e0 = e2
| e1 = e2
| e2 = op(e1,e3)
| e2 = op(e1,e2)
| ~ spl3_118
| ~ spl3_123 ),
inference(forward_demodulation,[],[f20728,f952]) ).
fof(f952,plain,
( e0 = op(e1,e0)
| ~ spl3_118 ),
inference(avatar_component_clause,[],[f950]) ).
fof(f20728,plain,
( e1 = e2
| e2 = op(e1,e3)
| e2 = op(e1,e2)
| e2 = op(e1,e0)
| ~ spl3_123 ),
inference(forward_demodulation,[],[f127,f1094]) ).
fof(f1094,plain,
( e1 = op(e1,e1)
| ~ spl3_123 ),
inference(avatar_component_clause,[],[f1092]) ).
fof(f23280,plain,
( spl3_2
| spl3_4
| ~ spl3_73
| ~ spl3_77
| ~ spl3_90
| ~ spl3_118
| ~ spl3_123
| ~ spl3_137 ),
inference(avatar_split_clause,[],[f23261,f10132,f1092,f950,f683,f627,f609,f267,f257]) ).
fof(f23261,plain,
( e1 = e2
| e0 = e2
| ~ spl3_73
| ~ spl3_77
| ~ spl3_90
| ~ spl3_118
| ~ spl3_123
| ~ spl3_137 ),
inference(forward_demodulation,[],[f23260,f1094]) ).
fof(f23260,plain,
( e0 = e2
| e2 = op(e1,e1)
| ~ spl3_73
| ~ spl3_77
| ~ spl3_90
| ~ spl3_118
| ~ spl3_137 ),
inference(duplicate_literal_removal,[],[f23259]) ).
fof(f23259,plain,
( e0 = e2
| e0 = e2
| e2 = op(e1,e1)
| ~ spl3_73
| ~ spl3_77
| ~ spl3_90
| ~ spl3_118
| ~ spl3_137 ),
inference(forward_demodulation,[],[f23258,f684]) ).
fof(f23258,plain,
( e0 = e2
| e2 = op(e1,e2)
| e2 = op(e1,e1)
| ~ spl3_73
| ~ spl3_77
| ~ spl3_118
| ~ spl3_137 ),
inference(duplicate_literal_removal,[],[f23257]) ).
fof(f23257,plain,
( e0 = e2
| e0 = e2
| e2 = op(e1,e2)
| e2 = op(e1,e1)
| ~ spl3_73
| ~ spl3_77
| ~ spl3_118
| ~ spl3_137 ),
inference(forward_demodulation,[],[f12723,f12721]) ).
fof(f12721,plain,
( e0 = op(e1,e0)
| ~ spl3_73
| ~ spl3_77
| ~ spl3_137 ),
inference(forward_demodulation,[],[f10134,f12719]) ).
fof(f12723,plain,
( e2 = op(e1,e0)
| e0 = e2
| e2 = op(e1,e2)
| e2 = op(e1,e1)
| ~ spl3_73
| ~ spl3_77
| ~ spl3_118
| ~ spl3_137 ),
inference(forward_demodulation,[],[f1002,f12719]) ).
fof(f1002,plain,
( e0 = e2
| e2 = op(e1,e3)
| e2 = op(e1,e2)
| e2 = op(e1,e1)
| ~ spl3_118 ),
inference(forward_demodulation,[],[f127,f952]) ).
fof(f23276,plain,
( spl3_118
| ~ spl3_73
| ~ spl3_77
| ~ spl3_137 ),
inference(avatar_split_clause,[],[f12721,f10132,f627,f609,f950]) ).
fof(f23243,plain,
( spl3_137
| spl3_3
| spl3_5
| ~ spl3_77
| ~ spl3_88
| ~ spl3_104 ),
inference(avatar_split_clause,[],[f23214,f744,f674,f627,f272,f262,f10132]) ).
fof(f23214,plain,
( e1 = e3
| e0 = e3
| e3 = op(e1,e3)
| ~ spl3_77
| ~ spl3_88
| ~ spl3_104 ),
inference(forward_demodulation,[],[f18757,f746]) ).
fof(f18757,plain,
( e0 = e3
| e3 = op(e1,e3)
| e3 = op(e0,e3)
| ~ spl3_77
| ~ spl3_88 ),
inference(duplicate_literal_removal,[],[f18756]) ).
fof(f23207,plain,
( spl3_77
| spl3_1
| spl3_3
| spl3_2
| ~ spl3_78
| ~ spl3_129
| ~ spl3_131 ),
inference(avatar_split_clause,[],[f23188,f1483,f1193,f631,f257,f262,f252,f627]) ).
fof(f1193,plain,
( spl3_129
<=> e3 = op(e3,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_129])]) ).
fof(f23188,plain,
( e0 = e2
| e0 = e3
| e0 = e1
| e0 = op(e3,e3)
| ~ spl3_78
| ~ spl3_129
| ~ spl3_131 ),
inference(forward_demodulation,[],[f22923,f1485]) ).
fof(f22923,plain,
( e0 = e3
| e0 = e1
| e0 = op(e3,e3)
| e0 = op(e3,e1)
| ~ spl3_78
| ~ spl3_129 ),
inference(forward_demodulation,[],[f20066,f1195]) ).
fof(f1195,plain,
( e3 = op(e3,e2)
| ~ spl3_129 ),
inference(avatar_component_clause,[],[f1193]) ).
fof(f20066,plain,
( e0 = e1
| e0 = op(e3,e3)
| e0 = op(e3,e2)
| e0 = op(e3,e1)
| ~ spl3_78 ),
inference(forward_demodulation,[],[f139,f632]) ).
fof(f23205,plain,
( ~ spl3_106
| spl3_8
| ~ spl3_111 ),
inference(avatar_split_clause,[],[f15625,f813,f287,f766]) ).
fof(f287,plain,
( spl3_8
<=> op(e0,e0) = op(e2,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_8])]) ).
fof(f15625,plain,
( op(e0,e0) != e2
| spl3_8
| ~ spl3_111 ),
inference(superposition,[],[f289,f815]) ).
fof(f815,plain,
( e2 = op(e2,e0)
| ~ spl3_111 ),
inference(avatar_component_clause,[],[f813]) ).
fof(f289,plain,
( op(e0,e0) != op(e2,e0)
| spl3_8 ),
inference(avatar_component_clause,[],[f287]) ).
fof(f23203,plain,
( spl3_87
| spl3_4
| spl3_2
| ~ spl3_83
| ~ spl3_88
| ~ spl3_104 ),
inference(avatar_split_clause,[],[f23181,f744,f674,f653,f257,f267,f670]) ).
fof(f23181,plain,
( e0 = e2
| e1 = e2
| e2 = op(e1,e3)
| ~ spl3_83
| ~ spl3_88
| ~ spl3_104 ),
inference(forward_demodulation,[],[f23180,f675]) ).
fof(f23180,plain,
( e1 = e2
| e2 = op(e2,e3)
| e2 = op(e1,e3)
| ~ spl3_83
| ~ spl3_104 ),
inference(duplicate_literal_removal,[],[f23179]) ).
fof(f23179,plain,
( e1 = e2
| e1 = e2
| e2 = op(e2,e3)
| e2 = op(e1,e3)
| ~ spl3_83
| ~ spl3_104 ),
inference(forward_demodulation,[],[f20177,f654]) ).
fof(f654,plain,
( e1 = op(e3,e3)
| ~ spl3_83 ),
inference(avatar_component_clause,[],[f653]) ).
fof(f23178,plain,
( ~ spl3_87
| ~ spl3_104
| ~ spl3_113 ),
inference(avatar_split_clause,[],[f22917,f835,f744,f670]) ).
fof(f835,plain,
( spl3_113
<=> op(e0,e0) = e3 ),
introduced(avatar_definition,[new_symbols(naming,[spl3_113])]) ).
fof(f22917,plain,
( e2 != op(e1,e3)
| ~ spl3_104
| ~ spl3_113 ),
inference(trivial_inequality_removal,[],[f14012]) ).
fof(f14012,plain,
( e1 != e1
| e2 != op(e1,e3)
| ~ spl3_104
| ~ spl3_113 ),
inference(forward_demodulation,[],[f13374,f746]) ).
fof(f13374,plain,
( e2 != op(e1,e3)
| e1 != op(e0,e3)
| ~ spl3_113 ),
inference(trivial_inequality_removal,[],[f11878]) ).
fof(f11878,plain,
( e3 != e3
| e2 != op(e1,e3)
| e1 != op(e0,e3)
| ~ spl3_113 ),
inference(forward_demodulation,[],[f246,f837]) ).
fof(f837,plain,
( op(e0,e0) = e3
| ~ spl3_113 ),
inference(avatar_component_clause,[],[f835]) ).
fof(f246,plain,
( e2 != op(e1,e3)
| e1 != op(e0,e3)
| op(e0,e0) != e3 ),
inference(inner_rewriting,[],[f245]) ).
fof(f245,plain,
( e2 != op(e1,op(e0,e0))
| e1 != op(e0,op(e0,e0))
| op(e0,e0) != e3 ),
inference(inner_rewriting,[],[f200]) ).
fof(f200,plain,
( e2 != op(op(e0,op(e0,e0)),op(e0,e0))
| e1 != op(e0,op(e0,e0))
| op(e0,e0) != e3 ),
inference(cnf_transformation,[],[f51]) ).
fof(f51,plain,
( e2 != op(op(e0,op(e0,e0)),op(e0,e0))
| e1 != op(e0,op(e0,e0))
| op(e0,e0) != e3 ),
inference(ennf_transformation,[],[f26]) ).
fof(f26,axiom,
~ ( e2 = op(op(e0,op(e0,e0)),op(e0,e0))
& e1 = op(e0,op(e0,e0))
& op(e0,e0) = e3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax26) ).
fof(f23154,plain,
( spl3_87
| spl3_2
| spl3_4
| ~ spl3_90
| ~ spl3_105
| ~ spl3_123 ),
inference(avatar_split_clause,[],[f18413,f1092,f757,f683,f267,f257,f670]) ).
fof(f18413,plain,
( e1 = e2
| e0 = e2
| e2 = op(e1,e3)
| ~ spl3_90
| ~ spl3_105
| ~ spl3_123 ),
inference(duplicate_literal_removal,[],[f18412]) ).
fof(f18412,plain,
( e1 = e2
| e1 = e2
| e0 = e2
| e2 = op(e1,e3)
| ~ spl3_90
| ~ spl3_105
| ~ spl3_123 ),
inference(forward_demodulation,[],[f17101,f1094]) ).
fof(f17101,plain,
( e1 = e2
| e0 = e2
| e2 = op(e1,e3)
| e2 = op(e1,e1)
| ~ spl3_90
| ~ spl3_105 ),
inference(forward_demodulation,[],[f16251,f759]) ).
fof(f759,plain,
( e1 = op(e1,e0)
| ~ spl3_105 ),
inference(avatar_component_clause,[],[f757]) ).
fof(f16251,plain,
( e0 = e2
| e2 = op(e1,e3)
| e2 = op(e1,e1)
| e2 = op(e1,e0)
| ~ spl3_90 ),
inference(forward_demodulation,[],[f127,f684]) ).
fof(f23150,plain,
( spl3_99
| ~ spl3_58
| ~ spl3_105 ),
inference(avatar_split_clause,[],[f18439,f757,f535,f722]) ).
fof(f535,plain,
( spl3_58
<=> e0 = op(e0,op(e1,e0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_58])]) ).
fof(f18439,plain,
( e0 = op(e0,e1)
| ~ spl3_58
| ~ spl3_105 ),
inference(forward_demodulation,[],[f537,f759]) ).
fof(f537,plain,
( e0 = op(e0,op(e1,e0))
| ~ spl3_58 ),
inference(avatar_component_clause,[],[f535]) ).
fof(f23031,plain,
( spl3_134
| spl3_1
| ~ spl3_74
| ~ spl3_90
| ~ spl3_100 ),
inference(avatar_split_clause,[],[f22954,f726,f683,f614,f252,f2369]) ).
fof(f22954,plain,
( e0 = e1
| e1 = op(e3,e2)
| ~ spl3_74
| ~ spl3_90
| ~ spl3_100 ),
inference(duplicate_literal_removal,[],[f22953]) ).
fof(f22953,plain,
( e0 = e1
| e0 = e1
| e1 = op(e3,e2)
| ~ spl3_74
| ~ spl3_90
| ~ spl3_100 ),
inference(forward_demodulation,[],[f16071,f728]) ).
fof(f728,plain,
( e0 = op(e0,e2)
| ~ spl3_100 ),
inference(avatar_component_clause,[],[f726]) ).
fof(f16071,plain,
( e0 = e1
| e1 = op(e3,e2)
| e1 = op(e0,e2)
| ~ spl3_74
| ~ spl3_90 ),
inference(duplicate_literal_removal,[],[f16070]) ).
fof(f22983,plain,
( spl3_1
| ~ spl3_63
| ~ spl3_85
| ~ spl3_90 ),
inference(avatar_split_clause,[],[f22962,f683,f661,f559,f252]) ).
fof(f559,plain,
( spl3_63
<=> e1 = op(e1,op(e0,e1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_63])]) ).
fof(f661,plain,
( spl3_85
<=> e2 = op(e0,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_85])]) ).
fof(f22962,plain,
( e0 = e1
| ~ spl3_63
| ~ spl3_85
| ~ spl3_90 ),
inference(forward_demodulation,[],[f15136,f684]) ).
fof(f15136,plain,
( e1 = op(e1,e2)
| ~ spl3_63
| ~ spl3_85 ),
inference(forward_demodulation,[],[f561,f662]) ).
fof(f662,plain,
( e2 = op(e0,e1)
| ~ spl3_85 ),
inference(avatar_component_clause,[],[f661]) ).
fof(f561,plain,
( e1 = op(e1,op(e0,e1))
| ~ spl3_63 ),
inference(avatar_component_clause,[],[f559]) ).
fof(f22901,plain,
( spl3_77
| spl3_3
| spl3_1
| ~ spl3_78
| ~ spl3_125
| ~ spl3_129 ),
inference(avatar_split_clause,[],[f22820,f1193,f1100,f631,f252,f262,f627]) ).
fof(f22820,plain,
( e0 = e1
| e0 = e3
| e0 = op(e3,e3)
| ~ spl3_78
| ~ spl3_125
| ~ spl3_129 ),
inference(duplicate_literal_removal,[],[f22819]) ).
fof(f22819,plain,
( e0 = e1
| e0 = e3
| e0 = e1
| e0 = op(e3,e3)
| ~ spl3_78
| ~ spl3_125
| ~ spl3_129 ),
inference(forward_demodulation,[],[f19507,f1102]) ).
fof(f19507,plain,
( e0 = e3
| e0 = e1
| e0 = op(e3,e3)
| e0 = op(e3,e1)
| ~ spl3_78
| ~ spl3_129 ),
inference(forward_demodulation,[],[f18840,f1195]) ).
fof(f18840,plain,
( e0 = e1
| e0 = op(e3,e3)
| e0 = op(e3,e2)
| e0 = op(e3,e1)
| ~ spl3_78 ),
inference(forward_demodulation,[],[f139,f632]) ).
fof(f22898,plain,
( ~ spl3_102
| spl3_33
| ~ spl3_104 ),
inference(avatar_split_clause,[],[f20012,f744,f412,f736]) ).
fof(f412,plain,
( spl3_33
<=> op(e0,e0) = op(e0,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_33])]) ).
fof(f20012,plain,
( op(e0,e0) != e1
| spl3_33
| ~ spl3_104 ),
inference(superposition,[],[f414,f746]) ).
fof(f414,plain,
( op(e0,e0) != op(e0,e3)
| spl3_33 ),
inference(avatar_component_clause,[],[f412]) ).
fof(f22891,plain,
( spl3_110
| ~ spl3_69
| ~ spl3_119 ),
inference(avatar_split_clause,[],[f21656,f1019,f589,f808]) ).
fof(f22807,plain,
( spl3_77
| spl3_2
| spl3_1
| ~ spl3_78
| ~ spl3_125
| ~ spl3_132 ),
inference(avatar_split_clause,[],[f22739,f1487,f1100,f631,f252,f257,f627]) ).
fof(f22739,plain,
( e0 = e1
| e0 = e2
| e0 = op(e3,e3)
| ~ spl3_78
| ~ spl3_125
| ~ spl3_132 ),
inference(duplicate_literal_removal,[],[f22738]) ).
fof(f22738,plain,
( e0 = e1
| e0 = e2
| e0 = e1
| e0 = op(e3,e3)
| ~ spl3_78
| ~ spl3_125
| ~ spl3_132 ),
inference(forward_demodulation,[],[f22737,f1102]) ).
fof(f22737,plain,
( e0 = e2
| e0 = e1
| e0 = op(e3,e3)
| e0 = op(e3,e1)
| ~ spl3_78
| ~ spl3_132 ),
inference(forward_demodulation,[],[f20066,f1489]) ).
fof(f22706,plain,
( spl3_123
| spl3_130
| spl3_5
| ~ spl3_76
| ~ spl3_128 ),
inference(avatar_split_clause,[],[f15784,f1189,f622,f272,f1477,f1092]) ).
fof(f622,plain,
( spl3_76
<=> e3 = op(e1,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_76])]) ).
fof(f15784,plain,
( e1 = e3
| e1 = op(e1,e3)
| e1 = op(e1,e1)
| ~ spl3_76
| ~ spl3_128 ),
inference(duplicate_literal_removal,[],[f15783]) ).
fof(f15783,plain,
( e1 = e3
| e1 = e3
| e1 = op(e1,e3)
| e1 = op(e1,e1)
| ~ spl3_76
| ~ spl3_128 ),
inference(forward_demodulation,[],[f2834,f1191]) ).
fof(f2834,plain,
( e1 = e3
| e1 = op(e1,e3)
| e1 = op(e1,e2)
| e1 = op(e1,e1)
| ~ spl3_76 ),
inference(forward_demodulation,[],[f125,f623]) ).
fof(f623,plain,
( e3 = op(e1,e0)
| ~ spl3_76 ),
inference(avatar_component_clause,[],[f622]) ).
fof(f125,plain,
( e1 = op(e1,e3)
| e1 = op(e1,e2)
| e1 = op(e1,e1)
| e1 = op(e1,e0) ),
inference(cnf_transformation,[],[f2]) ).
fof(f22688,plain,
( spl3_89
| spl3_87
| spl3_6
| ~ spl3_76
| ~ spl3_128 ),
inference(avatar_split_clause,[],[f14551,f1189,f622,f277,f670,f679]) ).
fof(f14551,plain,
( e2 = e3
| e2 = op(e1,e3)
| e2 = op(e1,e1)
| ~ spl3_76
| ~ spl3_128 ),
inference(duplicate_literal_removal,[],[f3883]) ).
fof(f3883,plain,
( e2 = e3
| e2 = e3
| e2 = op(e1,e3)
| e2 = op(e1,e1)
| ~ spl3_76
| ~ spl3_128 ),
inference(forward_demodulation,[],[f2832,f1191]) ).
fof(f2832,plain,
( e2 = e3
| e2 = op(e1,e3)
| e2 = op(e1,e2)
| e2 = op(e1,e1)
| ~ spl3_76 ),
inference(forward_demodulation,[],[f127,f623]) ).
fof(f22624,plain,
( spl3_126
| ~ spl3_70
| ~ spl3_96 ),
inference(avatar_split_clause,[],[f16909,f709,f594,f1126]) ).
fof(f594,plain,
( spl3_70
<=> e3 = op(e3,op(e2,e3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_70])]) ).
fof(f16909,plain,
( e3 = op(e3,e1)
| ~ spl3_70
| ~ spl3_96 ),
inference(forward_demodulation,[],[f596,f710]) ).
fof(f596,plain,
( e3 = op(e3,op(e2,e3))
| ~ spl3_70 ),
inference(avatar_component_clause,[],[f594]) ).
fof(f22553,plain,
( spl3_110
| ~ spl3_66
| ~ spl3_80 ),
inference(avatar_split_clause,[],[f22404,f640,f574,f808]) ).
fof(f574,plain,
( spl3_66
<=> e2 = op(e2,op(e2,e2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_66])]) ).
fof(f22404,plain,
( e2 = op(e2,e1)
| ~ spl3_66
| ~ spl3_80 ),
inference(forward_demodulation,[],[f576,f641]) ).
fof(f641,plain,
( e1 = op(e2,e2)
| ~ spl3_80 ),
inference(avatar_component_clause,[],[f640]) ).
fof(f576,plain,
( e2 = op(e2,op(e2,e2))
| ~ spl3_66 ),
inference(avatar_component_clause,[],[f574]) ).
fof(f22548,plain,
( spl3_119
| ~ spl3_62
| ~ spl3_110 ),
inference(avatar_split_clause,[],[f22413,f808,f554,f1019]) ).
fof(f22413,plain,
( e1 = op(e1,e2)
| ~ spl3_62
| ~ spl3_110 ),
inference(forward_demodulation,[],[f556,f809]) ).
fof(f556,plain,
( e1 = op(e1,op(e2,e1))
| ~ spl3_62 ),
inference(avatar_component_clause,[],[f554]) ).
fof(f22541,plain,
( spl3_101
| ~ spl3_56
| ~ spl3_120 ),
inference(avatar_split_clause,[],[f10987,f1035,f526,f730]) ).
fof(f526,plain,
( spl3_56
<=> e0 = op(e0,op(e2,e0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_56])]) ).
fof(f10987,plain,
( e0 = op(e0,e3)
| ~ spl3_56
| ~ spl3_120 ),
inference(forward_demodulation,[],[f528,f1037]) ).
fof(f528,plain,
( e0 = op(e0,op(e2,e0))
| ~ spl3_56 ),
inference(avatar_component_clause,[],[f526]) ).
fof(f22423,plain,
( spl3_5
| ~ spl3_129
| ~ spl3_134 ),
inference(avatar_split_clause,[],[f4095,f2369,f1193,f272]) ).
fof(f4095,plain,
( e1 = e3
| ~ spl3_129
| ~ spl3_134 ),
inference(superposition,[],[f2371,f1195]) ).
fof(f2371,plain,
( e1 = op(e3,e2)
| ~ spl3_134 ),
inference(avatar_component_clause,[],[f2369]) ).
fof(f22192,plain,
( spl3_132
| spl3_6
| spl3_4
| spl3_2
| ~ spl3_61
| ~ spl3_95
| ~ spl3_112
| ~ spl3_119 ),
inference(avatar_split_clause,[],[f13518,f1019,f817,f705,f549,f257,f267,f277,f1487]) ).
fof(f817,plain,
( spl3_112
<=> e2 = op(e3,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_112])]) ).
fof(f13518,plain,
( e0 = e2
| e1 = e2
| e2 = e3
| e2 = op(e3,e2)
| ~ spl3_61
| ~ spl3_95
| ~ spl3_112
| ~ spl3_119 ),
inference(forward_demodulation,[],[f13160,f13494]) ).
fof(f13494,plain,
( e0 = op(e0,e2)
| ~ spl3_61
| ~ spl3_112 ),
inference(forward_demodulation,[],[f551,f819]) ).
fof(f819,plain,
( e2 = op(e3,e0)
| ~ spl3_112 ),
inference(avatar_component_clause,[],[f817]) ).
fof(f551,plain,
( e0 = op(e0,op(e3,e0))
| ~ spl3_61 ),
inference(avatar_component_clause,[],[f549]) ).
fof(f13160,plain,
( e1 = e2
| e2 = e3
| e2 = op(e3,e2)
| e2 = op(e0,e2)
| ~ spl3_95
| ~ spl3_119 ),
inference(forward_demodulation,[],[f10534,f1020]) ).
fof(f10534,plain,
( e2 = e3
| e2 = op(e3,e2)
| e2 = op(e1,e2)
| e2 = op(e0,e2)
| ~ spl3_95 ),
inference(forward_demodulation,[],[f136,f706]) ).
fof(f22160,plain,
( spl3_88
| spl3_77
| spl3_2
| ~ spl3_87
| ~ spl3_108 ),
inference(avatar_split_clause,[],[f20613,f774,f670,f257,f627,f674]) ).
fof(f20613,plain,
( e0 = e2
| e0 = op(e3,e3)
| e0 = op(e2,e3)
| ~ spl3_87
| ~ spl3_108 ),
inference(duplicate_literal_removal,[],[f5962]) ).
fof(f5962,plain,
( e0 = e2
| e0 = e2
| e0 = op(e3,e3)
| e0 = op(e2,e3)
| ~ spl3_87
| ~ spl3_108 ),
inference(forward_demodulation,[],[f4783,f671]) ).
fof(f671,plain,
( e2 = op(e1,e3)
| ~ spl3_87 ),
inference(avatar_component_clause,[],[f670]) ).
fof(f4783,plain,
( e0 = e2
| e0 = op(e3,e3)
| e0 = op(e2,e3)
| e0 = op(e1,e3)
| ~ spl3_108 ),
inference(forward_demodulation,[],[f140,f776]) ).
fof(f140,plain,
( e0 = op(e3,e3)
| e0 = op(e2,e3)
| e0 = op(e1,e3)
| e0 = op(e0,e3) ),
inference(cnf_transformation,[],[f2]) ).
fof(f22135,plain,
( spl3_97
| spl3_3
| spl3_1
| spl3_2
| ~ spl3_65
| ~ spl3_76
| ~ spl3_89 ),
inference(avatar_split_clause,[],[f8253,f679,f622,f569,f257,f252,f262,f713]) ).
fof(f713,plain,
( spl3_97
<=> e0 = op(e1,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_97])]) ).
fof(f8253,plain,
( e0 = e2
| e0 = e1
| e0 = e3
| e0 = op(e1,e3)
| ~ spl3_65
| ~ spl3_76
| ~ spl3_89 ),
inference(forward_demodulation,[],[f8252,f680]) ).
fof(f680,plain,
( e2 = op(e1,e1)
| ~ spl3_89 ),
inference(avatar_component_clause,[],[f679]) ).
fof(f8252,plain,
( e0 = e1
| e0 = e3
| e0 = op(e1,e3)
| e0 = op(e1,e1)
| ~ spl3_65
| ~ spl3_76
| ~ spl3_89 ),
inference(forward_demodulation,[],[f2781,f8175]) ).
fof(f8175,plain,
( e1 = op(e1,e2)
| ~ spl3_65
| ~ spl3_89 ),
inference(superposition,[],[f571,f680]) ).
fof(f571,plain,
( e1 = op(e1,op(e1,e1))
| ~ spl3_65 ),
inference(avatar_component_clause,[],[f569]) ).
fof(f2781,plain,
( e0 = e3
| e0 = op(e1,e3)
| e0 = op(e1,e2)
| e0 = op(e1,e1)
| ~ spl3_76 ),
inference(forward_demodulation,[],[f123,f623]) ).
fof(f123,plain,
( e0 = op(e1,e3)
| e0 = op(e1,e2)
| e0 = op(e1,e1)
| e0 = op(e1,e0) ),
inference(cnf_transformation,[],[f2]) ).
fof(f22125,plain,
( spl3_6
| spl3_4
| spl3_2
| ~ spl3_95
| ~ spl3_96
| ~ spl3_116
| ~ spl3_124 ),
inference(avatar_split_clause,[],[f22019,f1096,f902,f709,f705,f257,f267,f277]) ).
fof(f902,plain,
( spl3_116
<=> e0 = op(e2,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_116])]) ).
fof(f22019,plain,
( e0 = e2
| e1 = e2
| e2 = e3
| ~ spl3_95
| ~ spl3_96
| ~ spl3_116
| ~ spl3_124 ),
inference(forward_demodulation,[],[f22018,f904]) ).
fof(f904,plain,
( e0 = op(e2,e0)
| ~ spl3_116 ),
inference(avatar_component_clause,[],[f902]) ).
fof(f22018,plain,
( e1 = e2
| e2 = e3
| e2 = op(e2,e0)
| ~ spl3_95
| ~ spl3_96
| ~ spl3_124 ),
inference(duplicate_literal_removal,[],[f22017]) ).
fof(f22017,plain,
( e1 = e2
| e1 = e2
| e2 = e3
| e2 = op(e2,e0)
| ~ spl3_95
| ~ spl3_96
| ~ spl3_124 ),
inference(forward_demodulation,[],[f20486,f1098]) ).
fof(f20486,plain,
( e1 = e2
| e2 = e3
| e2 = op(e2,e1)
| e2 = op(e2,e0)
| ~ spl3_95
| ~ spl3_96 ),
inference(forward_demodulation,[],[f15538,f710]) ).
fof(f15538,plain,
( e2 = e3
| e2 = op(e2,e3)
| e2 = op(e2,e1)
| e2 = op(e2,e0)
| ~ spl3_95 ),
inference(forward_demodulation,[],[f135,f706]) ).
fof(f21973,plain,
( spl3_77
| spl3_3
| spl3_2
| ~ spl3_112
| ~ spl3_129
| ~ spl3_131 ),
inference(avatar_split_clause,[],[f21926,f1483,f1193,f817,f257,f262,f627]) ).
fof(f21926,plain,
( e0 = e2
| e0 = e3
| e0 = op(e3,e3)
| ~ spl3_112
| ~ spl3_129
| ~ spl3_131 ),
inference(duplicate_literal_removal,[],[f21925]) ).
fof(f21925,plain,
( e0 = e2
| e0 = e3
| e0 = e2
| e0 = op(e3,e3)
| ~ spl3_112
| ~ spl3_129
| ~ spl3_131 ),
inference(forward_demodulation,[],[f19069,f819]) ).
fof(f19069,plain,
( e0 = e3
| e0 = e2
| e0 = op(e3,e3)
| e0 = op(e3,e0)
| ~ spl3_129
| ~ spl3_131 ),
inference(forward_demodulation,[],[f4481,f1195]) ).
fof(f4481,plain,
( e0 = e2
| e0 = op(e3,e3)
| e0 = op(e3,e2)
| e0 = op(e3,e0)
| ~ spl3_131 ),
inference(forward_demodulation,[],[f139,f1485]) ).
fof(f21915,plain,
( spl3_77
| spl3_1
| spl3_2
| ~ spl3_112
| ~ spl3_131
| ~ spl3_134 ),
inference(avatar_split_clause,[],[f21899,f2369,f1483,f817,f257,f252,f627]) ).
fof(f21899,plain,
( e0 = e2
| e0 = e1
| e0 = op(e3,e3)
| ~ spl3_112
| ~ spl3_131
| ~ spl3_134 ),
inference(duplicate_literal_removal,[],[f21898]) ).
fof(f21898,plain,
( e0 = e2
| e0 = e2
| e0 = e1
| e0 = op(e3,e3)
| ~ spl3_112
| ~ spl3_131
| ~ spl3_134 ),
inference(forward_demodulation,[],[f20660,f1485]) ).
fof(f20660,plain,
( e0 = e2
| e0 = e1
| e0 = op(e3,e3)
| e0 = op(e3,e1)
| ~ spl3_112
| ~ spl3_134 ),
inference(forward_demodulation,[],[f13268,f819]) ).
fof(f13268,plain,
( e0 = e1
| e0 = op(e3,e3)
| e0 = op(e3,e1)
| e0 = op(e3,e0)
| ~ spl3_134 ),
inference(forward_demodulation,[],[f139,f2371]) ).
fof(f21891,plain,
( spl3_129
| spl3_5
| spl3_6
| ~ spl3_83
| ~ spl3_112
| ~ spl3_131 ),
inference(avatar_split_clause,[],[f21861,f1483,f817,f653,f277,f272,f1193]) ).
fof(f21861,plain,
( e2 = e3
| e1 = e3
| e3 = op(e3,e2)
| ~ spl3_83
| ~ spl3_112
| ~ spl3_131 ),
inference(duplicate_literal_removal,[],[f21860]) ).
fof(f21860,plain,
( e2 = e3
| e1 = e3
| e2 = e3
| e3 = op(e3,e2)
| ~ spl3_83
| ~ spl3_112
| ~ spl3_131 ),
inference(forward_demodulation,[],[f21859,f819]) ).
fof(f21859,plain,
( e1 = e3
| e2 = e3
| e3 = op(e3,e2)
| e3 = op(e3,e0)
| ~ spl3_83
| ~ spl3_131 ),
inference(forward_demodulation,[],[f14503,f654]) ).
fof(f14503,plain,
( e2 = e3
| e3 = op(e3,e3)
| e3 = op(e3,e2)
| e3 = op(e3,e0)
| ~ spl3_131 ),
inference(forward_demodulation,[],[f145,f1485]) ).
fof(f145,plain,
( e3 = op(e3,e3)
| e3 = op(e3,e2)
| e3 = op(e3,e1)
| e3 = op(e3,e0) ),
inference(cnf_transformation,[],[f2]) ).
fof(f21889,plain,
( ~ spl3_100
| spl3_36
| ~ spl3_101 ),
inference(avatar_split_clause,[],[f17505,f730,f427,f726]) ).
fof(f21837,plain,
( spl3_4
| spl3_5
| spl3_1
| ~ spl3_93
| ~ spl3_95
| ~ spl3_107
| ~ spl3_128 ),
inference(avatar_split_clause,[],[f21798,f1189,f770,f705,f696,f252,f272,f267]) ).
fof(f21798,plain,
( e0 = e1
| e1 = e3
| e1 = e2
| ~ spl3_93
| ~ spl3_95
| ~ spl3_107
| ~ spl3_128 ),
inference(forward_demodulation,[],[f21737,f697]) ).
fof(f21737,plain,
( e1 = e3
| e1 = e2
| e1 = op(e3,e2)
| ~ spl3_95
| ~ spl3_107
| ~ spl3_128 ),
inference(duplicate_literal_removal,[],[f2259]) ).
fof(f2259,plain,
( e1 = e3
| e1 = e2
| e1 = e3
| e1 = op(e3,e2)
| ~ spl3_95
| ~ spl3_107
| ~ spl3_128 ),
inference(forward_demodulation,[],[f2100,f706]) ).
fof(f2100,plain,
( e1 = e2
| e1 = e3
| e1 = op(e3,e2)
| e1 = op(e2,e2)
| ~ spl3_107
| ~ spl3_128 ),
inference(forward_demodulation,[],[f2099,f772]) ).
fof(f2099,plain,
( e1 = e3
| e1 = op(e3,e2)
| e1 = op(e2,e2)
| e1 = op(e0,e2)
| ~ spl3_128 ),
inference(forward_demodulation,[],[f134,f1191]) ).
fof(f21828,plain,
( spl3_2
| ~ spl3_81
| ~ spl3_110 ),
inference(avatar_split_clause,[],[f21807,f808,f644,f257]) ).
fof(f21807,plain,
( e0 = e2
| ~ spl3_81
| ~ spl3_110 ),
inference(superposition,[],[f645,f809]) ).
fof(f21734,plain,
( spl3_137
| spl3_5
| spl3_3
| ~ spl3_83
| ~ spl3_88
| ~ spl3_101 ),
inference(avatar_split_clause,[],[f21646,f730,f674,f653,f262,f272,f10132]) ).
fof(f21646,plain,
( e0 = e3
| e1 = e3
| e3 = op(e1,e3)
| ~ spl3_83
| ~ spl3_88
| ~ spl3_101 ),
inference(duplicate_literal_removal,[],[f21645]) ).
fof(f21645,plain,
( e0 = e3
| e0 = e3
| e1 = e3
| e3 = op(e1,e3)
| ~ spl3_83
| ~ spl3_88
| ~ spl3_101 ),
inference(forward_demodulation,[],[f18680,f732]) ).
fof(f18680,plain,
( e0 = e3
| e1 = e3
| e3 = op(e1,e3)
| e3 = op(e0,e3)
| ~ spl3_83
| ~ spl3_88 ),
inference(forward_demodulation,[],[f4619,f675]) ).
fof(f4619,plain,
( e1 = e3
| e3 = op(e2,e3)
| e3 = op(e1,e3)
| e3 = op(e0,e3)
| ~ spl3_83 ),
inference(forward_demodulation,[],[f146,f654]) ).
fof(f21731,plain,
( spl3_84
| spl3_1
| spl3_2
| ~ spl3_89
| ~ spl3_103
| ~ spl3_110 ),
inference(avatar_split_clause,[],[f21626,f808,f740,f679,f257,f252,f657]) ).
fof(f21626,plain,
( e0 = e2
| e0 = e1
| e0 = op(e3,e1)
| ~ spl3_89
| ~ spl3_103
| ~ spl3_110 ),
inference(duplicate_literal_removal,[],[f21625]) ).
fof(f21625,plain,
( e0 = e2
| e0 = e1
| e0 = e2
| e0 = op(e3,e1)
| ~ spl3_89
| ~ spl3_103
| ~ spl3_110 ),
inference(forward_demodulation,[],[f21365,f809]) ).
fof(f21365,plain,
( e0 = e1
| e0 = e2
| e0 = op(e3,e1)
| e0 = op(e2,e1)
| ~ spl3_89
| ~ spl3_103 ),
inference(forward_demodulation,[],[f8254,f742]) ).
fof(f8254,plain,
( e0 = e2
| e0 = op(e3,e1)
| e0 = op(e2,e1)
| e0 = op(e0,e1)
| ~ spl3_89 ),
inference(forward_demodulation,[],[f124,f680]) ).
fof(f21567,plain,
( spl3_130
| spl3_1
| spl3_5
| ~ spl3_86
| ~ spl3_118
| ~ spl3_128 ),
inference(avatar_split_clause,[],[f21557,f1189,f950,f666,f272,f252,f1477]) ).
fof(f21557,plain,
( e1 = e3
| e0 = e1
| e1 = op(e1,e3)
| ~ spl3_86
| ~ spl3_118
| ~ spl3_128 ),
inference(duplicate_literal_removal,[],[f21556]) ).
fof(f21556,plain,
( e1 = e3
| e0 = e1
| e1 = e3
| e1 = op(e1,e3)
| ~ spl3_86
| ~ spl3_118
| ~ spl3_128 ),
inference(forward_demodulation,[],[f20786,f667]) ).
fof(f20786,plain,
( e0 = e1
| e1 = e3
| e1 = op(e1,e3)
| e1 = op(e1,e1)
| ~ spl3_118
| ~ spl3_128 ),
inference(forward_demodulation,[],[f16642,f952]) ).
fof(f16642,plain,
( e1 = e3
| e1 = op(e1,e3)
| e1 = op(e1,e1)
| e1 = op(e1,e0)
| ~ spl3_128 ),
inference(forward_demodulation,[],[f125,f1191]) ).
fof(f21555,plain,
( spl3_118
| spl3_97
| spl3_3
| ~ spl3_86
| ~ spl3_128 ),
inference(avatar_split_clause,[],[f20184,f1189,f666,f262,f713,f950]) ).
fof(f20184,plain,
( e0 = e3
| e0 = op(e1,e3)
| e0 = op(e1,e0)
| ~ spl3_86
| ~ spl3_128 ),
inference(duplicate_literal_removal,[],[f20183]) ).
fof(f20183,plain,
( e0 = e3
| e0 = e3
| e0 = op(e1,e3)
| e0 = op(e1,e0)
| ~ spl3_86
| ~ spl3_128 ),
inference(forward_demodulation,[],[f12653,f667]) ).
fof(f12653,plain,
( e0 = e3
| e0 = op(e1,e3)
| e0 = op(e1,e1)
| e0 = op(e1,e0)
| ~ spl3_128 ),
inference(forward_demodulation,[],[f123,f1191]) ).
fof(f21549,plain,
( spl3_130
| ~ spl3_65
| ~ spl3_86 ),
inference(avatar_split_clause,[],[f21455,f666,f569,f1477]) ).
fof(f21455,plain,
( e1 = op(e1,e3)
| ~ spl3_65
| ~ spl3_86 ),
inference(forward_demodulation,[],[f571,f667]) ).
fof(f21496,plain,
( spl3_84
| spl3_2
| spl3_3
| spl3_1
| ~ spl3_68
| ~ spl3_86
| ~ spl3_103
| ~ spl3_134 ),
inference(avatar_split_clause,[],[f13640,f2369,f740,f666,f584,f252,f262,f257,f657]) ).
fof(f13640,plain,
( e0 = e1
| e0 = e3
| e0 = e2
| e0 = op(e3,e1)
| ~ spl3_68
| ~ spl3_86
| ~ spl3_103
| ~ spl3_134 ),
inference(forward_demodulation,[],[f13639,f742]) ).
fof(f13639,plain,
( e0 = e3
| e0 = e2
| e0 = op(e3,e1)
| e0 = op(e0,e1)
| ~ spl3_68
| ~ spl3_86
| ~ spl3_134 ),
inference(forward_demodulation,[],[f4841,f667]) ).
fof(f4841,plain,
( e0 = e2
| e0 = op(e3,e1)
| e0 = op(e1,e1)
| e0 = op(e0,e1)
| ~ spl3_68
| ~ spl3_134 ),
inference(forward_demodulation,[],[f124,f4101]) ).
fof(f4101,plain,
( e2 = op(e2,e1)
| ~ spl3_68
| ~ spl3_134 ),
inference(superposition,[],[f586,f2371]) ).
fof(f21490,plain,
( spl3_110
| ~ spl3_68
| ~ spl3_134 ),
inference(avatar_split_clause,[],[f18432,f2369,f584,f808]) ).
fof(f18432,plain,
( e2 = op(e2,e1)
| ~ spl3_68
| ~ spl3_134 ),
inference(forward_demodulation,[],[f586,f2371]) ).
fof(f21413,plain,
( spl3_134
| spl3_83
| spl3_4
| ~ spl3_112
| ~ spl3_131 ),
inference(avatar_split_clause,[],[f5320,f1483,f817,f267,f653,f2369]) ).
fof(f5320,plain,
( e1 = e2
| e1 = op(e3,e3)
| e1 = op(e3,e2)
| ~ spl3_112
| ~ spl3_131 ),
inference(duplicate_literal_removal,[],[f4578]) ).
fof(f4578,plain,
( e1 = e2
| e1 = e2
| e1 = op(e3,e3)
| e1 = op(e3,e2)
| ~ spl3_112
| ~ spl3_131 ),
inference(forward_demodulation,[],[f4478,f819]) ).
fof(f21371,plain,
( spl3_76
| spl3_6
| spl3_5
| ~ spl3_89
| ~ spl3_119
| ~ spl3_130 ),
inference(avatar_split_clause,[],[f21361,f1477,f1019,f679,f272,f277,f622]) ).
fof(f21361,plain,
( e1 = e3
| e2 = e3
| e3 = op(e1,e0)
| ~ spl3_89
| ~ spl3_119
| ~ spl3_130 ),
inference(duplicate_literal_removal,[],[f21360]) ).
fof(f21360,plain,
( e1 = e3
| e2 = e3
| e1 = e3
| e3 = op(e1,e0)
| ~ spl3_89
| ~ spl3_119
| ~ spl3_130 ),
inference(forward_demodulation,[],[f13797,f1478]) ).
fof(f13797,plain,
( e2 = e3
| e1 = e3
| e3 = op(e1,e3)
| e3 = op(e1,e0)
| ~ spl3_89
| ~ spl3_119 ),
inference(forward_demodulation,[],[f13254,f680]) ).
fof(f13254,plain,
( e1 = e3
| e3 = op(e1,e3)
| e3 = op(e1,e1)
| e3 = op(e1,e0)
| ~ spl3_119 ),
inference(forward_demodulation,[],[f129,f1020]) ).
fof(f129,plain,
( e3 = op(e1,e3)
| e3 = op(e1,e2)
| e3 = op(e1,e1)
| e3 = op(e1,e0) ),
inference(cnf_transformation,[],[f2]) ).
fof(f21359,plain,
( spl3_79
| spl3_89
| spl3_4
| ~ spl3_119
| ~ spl3_130 ),
inference(avatar_split_clause,[],[f20923,f1477,f1019,f267,f679,f635]) ).
fof(f20923,plain,
( e1 = e2
| e2 = op(e1,e1)
| e2 = op(e1,e0)
| ~ spl3_119
| ~ spl3_130 ),
inference(duplicate_literal_removal,[],[f20922]) ).
fof(f20922,plain,
( e1 = e2
| e1 = e2
| e2 = op(e1,e1)
| e2 = op(e1,e0)
| ~ spl3_119
| ~ spl3_130 ),
inference(forward_demodulation,[],[f17735,f1478]) ).
fof(f17735,plain,
( e1 = e2
| e2 = op(e1,e3)
| e2 = op(e1,e1)
| e2 = op(e1,e0)
| ~ spl3_119 ),
inference(forward_demodulation,[],[f127,f1020]) ).
fof(f21275,plain,
( spl3_84
| spl3_2
| spl3_3
| spl3_1
| ~ spl3_89
| ~ spl3_103
| ~ spl3_115 ),
inference(avatar_split_clause,[],[f21266,f896,f740,f679,f252,f262,f257,f657]) ).
fof(f896,plain,
( spl3_115
<=> e3 = op(e2,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_115])]) ).
fof(f21266,plain,
( e0 = e1
| e0 = e3
| e0 = e2
| e0 = op(e3,e1)
| ~ spl3_89
| ~ spl3_103
| ~ spl3_115 ),
inference(forward_demodulation,[],[f17226,f742]) ).
fof(f17226,plain,
( e0 = e3
| e0 = e2
| e0 = op(e3,e1)
| e0 = op(e0,e1)
| ~ spl3_89
| ~ spl3_115 ),
inference(forward_demodulation,[],[f8254,f897]) ).
fof(f897,plain,
( e3 = op(e2,e1)
| ~ spl3_115 ),
inference(avatar_component_clause,[],[f896]) ).
fof(f21264,plain,
( spl3_89
| spl3_131
| spl3_6
| spl3_4
| ~ spl3_103
| ~ spl3_115 ),
inference(avatar_split_clause,[],[f19236,f896,f740,f267,f277,f1483,f679]) ).
fof(f19236,plain,
( e1 = e2
| e2 = e3
| e2 = op(e3,e1)
| e2 = op(e1,e1)
| ~ spl3_103
| ~ spl3_115 ),
inference(forward_demodulation,[],[f16395,f742]) ).
fof(f16395,plain,
( e2 = e3
| e2 = op(e3,e1)
| e2 = op(e1,e1)
| e2 = op(e0,e1)
| ~ spl3_115 ),
inference(forward_demodulation,[],[f128,f897]) ).
fof(f128,plain,
( e2 = op(e3,e1)
| e2 = op(e2,e1)
| e2 = op(e1,e1)
| e2 = op(e0,e1) ),
inference(cnf_transformation,[],[f2]) ).
fof(f21258,plain,
( spl3_88
| spl3_77
| spl3_1
| spl3_2
| ~ spl3_108
| ~ spl3_130 ),
inference(avatar_split_clause,[],[f18918,f1477,f774,f257,f252,f627,f674]) ).
fof(f18918,plain,
( e0 = e2
| e0 = e1
| e0 = op(e3,e3)
| e0 = op(e2,e3)
| ~ spl3_108
| ~ spl3_130 ),
inference(forward_demodulation,[],[f18262,f776]) ).
fof(f18262,plain,
( e0 = e1
| e0 = op(e3,e3)
| e0 = op(e2,e3)
| e0 = op(e0,e3)
| ~ spl3_130 ),
inference(forward_demodulation,[],[f140,f1478]) ).
fof(f21252,plain,
( spl3_133
| spl3_4
| spl3_2
| spl3_6
| ~ spl3_75
| ~ spl3_88
| ~ spl3_115 ),
inference(avatar_split_clause,[],[f21172,f896,f674,f618,f277,f257,f267,f2279]) ).
fof(f618,plain,
( spl3_75
<=> e1 = op(e2,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_75])]) ).
fof(f21172,plain,
( e2 = e3
| e0 = e2
| e1 = e2
| e2 = op(e2,e2)
| ~ spl3_75
| ~ spl3_88
| ~ spl3_115 ),
inference(forward_demodulation,[],[f17302,f897]) ).
fof(f17302,plain,
( e0 = e2
| e1 = e2
| e2 = op(e2,e2)
| e2 = op(e2,e1)
| ~ spl3_75
| ~ spl3_88 ),
inference(forward_demodulation,[],[f5013,f675]) ).
fof(f5013,plain,
( e1 = e2
| e2 = op(e2,e3)
| e2 = op(e2,e2)
| e2 = op(e2,e1)
| ~ spl3_75 ),
inference(forward_demodulation,[],[f135,f619]) ).
fof(f619,plain,
( e1 = op(e2,e0)
| ~ spl3_75 ),
inference(avatar_component_clause,[],[f618]) ).
fof(f21250,plain,
( ~ spl3_98
| spl3_32
| ~ spl3_100 ),
inference(avatar_split_clause,[],[f20392,f726,f407,f718]) ).
fof(f718,plain,
( spl3_98
<=> e0 = op(e0,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_98])]) ).
fof(f407,plain,
( spl3_32
<=> op(e0,e0) = op(e0,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_32])]) ).
fof(f20392,plain,
( e0 != op(e0,e0)
| spl3_32
| ~ spl3_100 ),
inference(superposition,[],[f409,f728]) ).
fof(f409,plain,
( op(e0,e0) != op(e0,e2)
| spl3_32 ),
inference(avatar_component_clause,[],[f407]) ).
fof(f21236,plain,
( spl3_136
| spl3_6
| spl3_4
| ~ spl3_75
| ~ spl3_95
| ~ spl3_115 ),
inference(avatar_split_clause,[],[f21164,f896,f705,f618,f267,f277,f3629]) ).
fof(f21164,plain,
( e1 = e2
| e2 = e3
| e2 = op(e2,e3)
| ~ spl3_75
| ~ spl3_95
| ~ spl3_115 ),
inference(forward_demodulation,[],[f21163,f619]) ).
fof(f21163,plain,
( e2 = e3
| e2 = op(e2,e3)
| e2 = op(e2,e0)
| ~ spl3_95
| ~ spl3_115 ),
inference(duplicate_literal_removal,[],[f21162]) ).
fof(f21162,plain,
( e2 = e3
| e2 = e3
| e2 = op(e2,e3)
| e2 = op(e2,e0)
| ~ spl3_95
| ~ spl3_115 ),
inference(forward_demodulation,[],[f15538,f897]) ).
fof(f21234,plain,
( spl3_79
| spl3_6
| spl3_4
| ~ spl3_86
| ~ spl3_119
| ~ spl3_130 ),
inference(avatar_split_clause,[],[f19719,f1477,f1019,f666,f267,f277,f635]) ).
fof(f19719,plain,
( e1 = e2
| e2 = e3
| e2 = op(e1,e0)
| ~ spl3_86
| ~ spl3_119
| ~ spl3_130 ),
inference(duplicate_literal_removal,[],[f10495]) ).
fof(f10495,plain,
( e1 = e2
| e1 = e2
| e2 = e3
| e2 = op(e1,e0)
| ~ spl3_86
| ~ spl3_119
| ~ spl3_130 ),
inference(forward_demodulation,[],[f10494,f1020]) ).
fof(f10494,plain,
( e1 = e2
| e2 = e3
| e2 = op(e1,e2)
| e2 = op(e1,e0)
| ~ spl3_86
| ~ spl3_130 ),
inference(forward_demodulation,[],[f3050,f1478]) ).
fof(f3050,plain,
( e2 = e3
| e2 = op(e1,e3)
| e2 = op(e1,e2)
| e2 = op(e1,e0)
| ~ spl3_86 ),
inference(forward_demodulation,[],[f127,f667]) ).
fof(f21230,plain,
( ~ spl3_82
| spl3_14
| ~ spl3_115 ),
inference(avatar_split_clause,[],[f19252,f896,f317,f648]) ).
fof(f648,plain,
( spl3_82
<=> e3 = op(e0,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_82])]) ).
fof(f317,plain,
( spl3_14
<=> op(e0,e1) = op(e2,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_14])]) ).
fof(f19252,plain,
( e3 != op(e0,e1)
| spl3_14
| ~ spl3_115 ),
inference(superposition,[],[f319,f897]) ).
fof(f319,plain,
( op(e0,e1) != op(e2,e1)
| spl3_14 ),
inference(avatar_component_clause,[],[f317]) ).
fof(f21121,plain,
( spl3_118
| spl3_97
| spl3_1
| spl3_3
| ~ spl3_123
| ~ spl3_128 ),
inference(avatar_split_clause,[],[f19777,f1189,f1092,f262,f252,f713,f950]) ).
fof(f19777,plain,
( e0 = e3
| e0 = e1
| e0 = op(e1,e3)
| e0 = op(e1,e0)
| ~ spl3_123
| ~ spl3_128 ),
inference(forward_demodulation,[],[f18061,f1191]) ).
fof(f18061,plain,
( e0 = e1
| e0 = op(e1,e3)
| e0 = op(e1,e2)
| e0 = op(e1,e0)
| ~ spl3_123 ),
inference(forward_demodulation,[],[f123,f1094]) ).
fof(f21111,plain,
( spl3_88
| spl3_1
| spl3_3
| spl3_2
| ~ spl3_75
| ~ spl3_115
| ~ spl3_133 ),
inference(avatar_split_clause,[],[f21029,f2279,f896,f618,f257,f262,f252,f674]) ).
fof(f21029,plain,
( e0 = e2
| e0 = e3
| e0 = e1
| e0 = op(e2,e3)
| ~ spl3_75
| ~ spl3_115
| ~ spl3_133 ),
inference(forward_demodulation,[],[f19658,f2281]) ).
fof(f19658,plain,
( e0 = e3
| e0 = e1
| e0 = op(e2,e3)
| e0 = op(e2,e2)
| ~ spl3_75
| ~ spl3_115 ),
inference(forward_demodulation,[],[f5012,f897]) ).
fof(f5012,plain,
( e0 = e1
| e0 = op(e2,e3)
| e0 = op(e2,e2)
| e0 = op(e2,e1)
| ~ spl3_75 ),
inference(forward_demodulation,[],[f131,f619]) ).
fof(f21109,plain,
( ~ spl3_119
| spl3_23
| ~ spl3_134 ),
inference(avatar_split_clause,[],[f18512,f2369,f362,f1019]) ).
fof(f362,plain,
( spl3_23
<=> op(e1,e2) = op(e3,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_23])]) ).
fof(f18512,plain,
( e1 != op(e1,e2)
| spl3_23
| ~ spl3_134 ),
inference(superposition,[],[f364,f2371]) ).
fof(f364,plain,
( op(e1,e2) != op(e3,e2)
| spl3_23 ),
inference(avatar_component_clause,[],[f362]) ).
fof(f20972,plain,
( spl3_6
| spl3_2
| spl3_4
| ~ spl3_88
| ~ spl3_95
| ~ spl3_120
| ~ spl3_124 ),
inference(avatar_split_clause,[],[f20935,f1096,f1035,f705,f674,f267,f257,f277]) ).
fof(f20935,plain,
( e1 = e2
| e0 = e2
| e2 = e3
| ~ spl3_88
| ~ spl3_95
| ~ spl3_120
| ~ spl3_124 ),
inference(forward_demodulation,[],[f20934,f1098]) ).
fof(f20934,plain,
( e0 = e2
| e2 = e3
| e2 = op(e2,e1)
| ~ spl3_88
| ~ spl3_95
| ~ spl3_120 ),
inference(forward_demodulation,[],[f20432,f675]) ).
fof(f20432,plain,
( e2 = e3
| e2 = op(e2,e3)
| e2 = op(e2,e1)
| ~ spl3_95
| ~ spl3_120 ),
inference(duplicate_literal_removal,[],[f13705]) ).
fof(f13705,plain,
( e2 = e3
| e2 = e3
| e2 = op(e2,e3)
| e2 = op(e2,e1)
| ~ spl3_95
| ~ spl3_120 ),
inference(forward_demodulation,[],[f12992,f706]) ).
fof(f12992,plain,
( e2 = e3
| e2 = op(e2,e3)
| e2 = op(e2,e2)
| e2 = op(e2,e1)
| ~ spl3_120 ),
inference(forward_demodulation,[],[f135,f1037]) ).
fof(f20970,plain,
( ~ spl3_74
| spl3_48
| ~ spl3_88 ),
inference(avatar_split_clause,[],[f19171,f674,f487,f614]) ).
fof(f19171,plain,
( e0 != op(e2,e2)
| spl3_48
| ~ spl3_88 ),
inference(superposition,[],[f489,f675]) ).
fof(f20896,plain,
( spl3_84
| spl3_2
| spl3_1
| spl3_3
| ~ spl3_82
| ~ spl3_89
| ~ spl3_124 ),
inference(avatar_split_clause,[],[f20888,f1096,f679,f648,f262,f252,f257,f657]) ).
fof(f20888,plain,
( e0 = e3
| e0 = e1
| e0 = e2
| e0 = op(e3,e1)
| ~ spl3_82
| ~ spl3_89
| ~ spl3_124 ),
inference(forward_demodulation,[],[f13789,f649]) ).
fof(f649,plain,
( e3 = op(e0,e1)
| ~ spl3_82 ),
inference(avatar_component_clause,[],[f648]) ).
fof(f13789,plain,
( e0 = e1
| e0 = e2
| e0 = op(e3,e1)
| e0 = op(e0,e1)
| ~ spl3_89
| ~ spl3_124 ),
inference(forward_demodulation,[],[f8254,f1098]) ).
fof(f20885,plain,
( spl3_89
| spl3_6
| spl3_4
| spl3_2
| ~ spl3_118
| ~ spl3_128
| ~ spl3_130 ),
inference(avatar_split_clause,[],[f20874,f1477,f1189,f950,f257,f267,f277,f679]) ).
fof(f20874,plain,
( e0 = e2
| e1 = e2
| e2 = e3
| e2 = op(e1,e1)
| ~ spl3_118
| ~ spl3_128
| ~ spl3_130 ),
inference(forward_demodulation,[],[f14567,f952]) ).
fof(f14567,plain,
( e1 = e2
| e2 = e3
| e2 = op(e1,e1)
| e2 = op(e1,e0)
| ~ spl3_128
| ~ spl3_130 ),
inference(forward_demodulation,[],[f12651,f1478]) ).
fof(f12651,plain,
( e2 = e3
| e2 = op(e1,e3)
| e2 = op(e1,e1)
| e2 = op(e1,e0)
| ~ spl3_128 ),
inference(forward_demodulation,[],[f127,f1191]) ).
fof(f20873,plain,
( spl3_130
| spl3_83
| spl3_1
| spl3_4
| ~ spl3_88
| ~ spl3_108 ),
inference(avatar_split_clause,[],[f18712,f774,f674,f267,f252,f653,f1477]) ).
fof(f18712,plain,
( e1 = e2
| e0 = e1
| e1 = op(e3,e3)
| e1 = op(e1,e3)
| ~ spl3_88
| ~ spl3_108 ),
inference(forward_demodulation,[],[f18711,f776]) ).
fof(f18711,plain,
( e0 = e1
| e1 = op(e3,e3)
| e1 = op(e1,e3)
| e1 = op(e0,e3)
| ~ spl3_88 ),
inference(forward_demodulation,[],[f142,f675]) ).
fof(f142,plain,
( e1 = op(e3,e3)
| e1 = op(e2,e3)
| e1 = op(e1,e3)
| e1 = op(e0,e3) ),
inference(cnf_transformation,[],[f2]) ).
fof(f20860,plain,
( spl3_134
| spl3_5
| spl3_1
| ~ spl3_74
| ~ spl3_100
| ~ spl3_128 ),
inference(avatar_split_clause,[],[f20845,f1189,f726,f614,f252,f272,f2369]) ).
fof(f20845,plain,
( e0 = e1
| e1 = e3
| e1 = op(e3,e2)
| ~ spl3_74
| ~ spl3_100
| ~ spl3_128 ),
inference(duplicate_literal_removal,[],[f20844]) ).
fof(f20844,plain,
( e0 = e1
| e1 = e3
| e0 = e1
| e1 = op(e3,e2)
| ~ spl3_74
| ~ spl3_100
| ~ spl3_128 ),
inference(forward_demodulation,[],[f16448,f728]) ).
fof(f16448,plain,
( e1 = e3
| e0 = e1
| e1 = op(e3,e2)
| e1 = op(e0,e2)
| ~ spl3_74
| ~ spl3_128 ),
inference(forward_demodulation,[],[f11130,f1191]) ).
fof(f20843,plain,
( spl3_74
| spl3_88
| spl3_3
| spl3_1
| ~ spl3_120
| ~ spl3_124 ),
inference(avatar_split_clause,[],[f14662,f1096,f1035,f252,f262,f674,f614]) ).
fof(f14662,plain,
( e0 = e1
| e0 = e3
| e0 = op(e2,e3)
| e0 = op(e2,e2)
| ~ spl3_120
| ~ spl3_124 ),
inference(forward_demodulation,[],[f12974,f1098]) ).
fof(f12974,plain,
( e0 = e3
| e0 = op(e2,e3)
| e0 = op(e2,e2)
| e0 = op(e2,e1)
| ~ spl3_120 ),
inference(forward_demodulation,[],[f131,f1037]) ).
fof(f20836,plain,
( spl3_134
| spl3_5
| spl3_4
| spl3_1
| ~ spl3_100
| ~ spl3_128
| ~ spl3_133 ),
inference(avatar_split_clause,[],[f20795,f2279,f1189,f726,f252,f267,f272,f2369]) ).
fof(f20795,plain,
( e0 = e1
| e1 = e2
| e1 = e3
| e1 = op(e3,e2)
| ~ spl3_100
| ~ spl3_128
| ~ spl3_133 ),
inference(forward_demodulation,[],[f15419,f728]) ).
fof(f15419,plain,
( e1 = e2
| e1 = e3
| e1 = op(e3,e2)
| e1 = op(e0,e2)
| ~ spl3_128
| ~ spl3_133 ),
inference(forward_demodulation,[],[f11003,f2281]) ).
fof(f11003,plain,
( e1 = e3
| e1 = op(e3,e2)
| e1 = op(e2,e2)
| e1 = op(e0,e2)
| ~ spl3_128 ),
inference(forward_demodulation,[],[f134,f1191]) ).
fof(f20782,plain,
( spl3_87
| spl3_6
| spl3_4
| spl3_2
| ~ spl3_118
| ~ spl3_123
| ~ spl3_128 ),
inference(avatar_split_clause,[],[f20748,f1189,f1092,f950,f257,f267,f277,f670]) ).
fof(f20748,plain,
( e0 = e2
| e1 = e2
| e2 = e3
| e2 = op(e1,e3)
| ~ spl3_118
| ~ spl3_123
| ~ spl3_128 ),
inference(forward_demodulation,[],[f20747,f952]) ).
fof(f20747,plain,
( e1 = e2
| e2 = e3
| e2 = op(e1,e3)
| e2 = op(e1,e0)
| ~ spl3_123
| ~ spl3_128 ),
inference(forward_demodulation,[],[f16507,f1094]) ).
fof(f16507,plain,
( e2 = e3
| e2 = op(e1,e3)
| e2 = op(e1,e1)
| e2 = op(e1,e0)
| ~ spl3_128 ),
inference(forward_demodulation,[],[f127,f1191]) ).
fof(f20776,plain,
( spl3_84
| spl3_1
| spl3_2
| spl3_3
| ~ spl3_82
| ~ spl3_110
| ~ spl3_123 ),
inference(avatar_split_clause,[],[f20698,f1092,f808,f648,f262,f257,f252,f657]) ).
fof(f20698,plain,
( e0 = e3
| e0 = e2
| e0 = e1
| e0 = op(e3,e1)
| ~ spl3_82
| ~ spl3_110
| ~ spl3_123 ),
inference(forward_demodulation,[],[f17820,f649]) ).
fof(f17820,plain,
( e0 = e2
| e0 = e1
| e0 = op(e3,e1)
| e0 = op(e0,e1)
| ~ spl3_110
| ~ spl3_123 ),
inference(forward_demodulation,[],[f5015,f809]) ).
fof(f5015,plain,
( e0 = e1
| e0 = op(e3,e1)
| e0 = op(e2,e1)
| e0 = op(e0,e1)
| ~ spl3_123 ),
inference(forward_demodulation,[],[f124,f1094]) ).
fof(f20765,plain,
( spl3_88
| spl3_3
| spl3_2
| ~ spl3_110
| ~ spl3_120
| ~ spl3_133 ),
inference(avatar_split_clause,[],[f20740,f2279,f1035,f808,f257,f262,f674]) ).
fof(f20740,plain,
( e0 = e2
| e0 = e3
| e0 = op(e2,e3)
| ~ spl3_110
| ~ spl3_120
| ~ spl3_133 ),
inference(duplicate_literal_removal,[],[f20739]) ).
fof(f20739,plain,
( e0 = e2
| e0 = e3
| e0 = e2
| e0 = op(e2,e3)
| ~ spl3_110
| ~ spl3_120
| ~ spl3_133 ),
inference(forward_demodulation,[],[f13199,f809]) ).
fof(f20722,plain,
( spl3_88
| spl3_2
| spl3_3
| ~ spl3_68
| ~ spl3_95
| ~ spl3_120
| ~ spl3_134 ),
inference(avatar_split_clause,[],[f20662,f2369,f1035,f705,f584,f262,f257,f674]) ).
fof(f20662,plain,
( e0 = e3
| e0 = e2
| e0 = op(e2,e3)
| ~ spl3_68
| ~ spl3_95
| ~ spl3_120
| ~ spl3_134 ),
inference(duplicate_literal_removal,[],[f20661]) ).
fof(f20661,plain,
( e0 = e3
| e0 = e2
| e0 = e3
| e0 = op(e2,e3)
| ~ spl3_68
| ~ spl3_95
| ~ spl3_120
| ~ spl3_134 ),
inference(forward_demodulation,[],[f4853,f1037]) ).
fof(f4853,plain,
( e0 = e2
| e0 = e3
| e0 = op(e2,e3)
| e0 = op(e2,e0)
| ~ spl3_68
| ~ spl3_95
| ~ spl3_134 ),
inference(forward_demodulation,[],[f2758,f4101]) ).
fof(f2758,plain,
( e0 = e3
| e0 = op(e2,e3)
| e0 = op(e2,e1)
| e0 = op(e2,e0)
| ~ spl3_95 ),
inference(forward_demodulation,[],[f131,f706]) ).
fof(f20720,plain,
( ~ spl3_113
| spl3_8
| ~ spl3_120 ),
inference(avatar_split_clause,[],[f15001,f1035,f287,f835]) ).
fof(f15001,plain,
( op(e0,e0) != e3
| spl3_8
| ~ spl3_120 ),
inference(superposition,[],[f289,f1037]) ).
fof(f20717,plain,
( spl3_77
| spl3_2
| spl3_1
| ~ spl3_87
| ~ spl3_96
| ~ spl3_108 ),
inference(avatar_split_clause,[],[f20623,f774,f709,f670,f252,f257,f627]) ).
fof(f20623,plain,
( e0 = e1
| e0 = e2
| e0 = op(e3,e3)
| ~ spl3_87
| ~ spl3_96
| ~ spl3_108 ),
inference(forward_demodulation,[],[f11277,f710]) ).
fof(f11277,plain,
( e0 = e2
| e0 = op(e3,e3)
| e0 = op(e2,e3)
| ~ spl3_87
| ~ spl3_108 ),
inference(duplicate_literal_removal,[],[f5962]) ).
fof(f20706,plain,
( spl3_135
| spl3_5
| spl3_6
| ~ spl3_87
| ~ spl3_96
| ~ spl3_108 ),
inference(avatar_split_clause,[],[f20621,f774,f709,f670,f277,f272,f2944]) ).
fof(f2944,plain,
( spl3_135
<=> e3 = op(e3,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_135])]) ).
fof(f20621,plain,
( e2 = e3
| e1 = e3
| e3 = op(e3,e3)
| ~ spl3_87
| ~ spl3_96
| ~ spl3_108 ),
inference(duplicate_literal_removal,[],[f20620]) ).
fof(f20620,plain,
( e2 = e3
| e1 = e3
| e2 = e3
| e3 = op(e3,e3)
| ~ spl3_87
| ~ spl3_96
| ~ spl3_108 ),
inference(forward_demodulation,[],[f17262,f776]) ).
fof(f17262,plain,
( e1 = e3
| e2 = e3
| e3 = op(e3,e3)
| e3 = op(e0,e3)
| ~ spl3_87
| ~ spl3_96 ),
inference(forward_demodulation,[],[f5021,f710]) ).
fof(f5021,plain,
( e2 = e3
| e3 = op(e3,e3)
| e3 = op(e2,e3)
| e3 = op(e0,e3)
| ~ spl3_87 ),
inference(forward_demodulation,[],[f146,f671]) ).
fof(f20687,plain,
( spl3_110
| ~ spl3_68
| ~ spl3_134 ),
inference(avatar_split_clause,[],[f18432,f2369,f584,f808]) ).
fof(f20648,plain,
( spl3_6
| spl3_5
| spl3_3
| ~ spl3_87
| ~ spl3_118
| ~ spl3_119
| ~ spl3_123 ),
inference(avatar_split_clause,[],[f20619,f1092,f1019,f950,f670,f262,f272,f277]) ).
fof(f20619,plain,
( e0 = e3
| e1 = e3
| e2 = e3
| ~ spl3_87
| ~ spl3_118
| ~ spl3_119
| ~ spl3_123 ),
inference(forward_demodulation,[],[f20618,f952]) ).
fof(f20618,plain,
( e1 = e3
| e2 = e3
| e3 = op(e1,e0)
| ~ spl3_87
| ~ spl3_119
| ~ spl3_123 ),
inference(duplicate_literal_removal,[],[f20617]) ).
fof(f20617,plain,
( e1 = e3
| e1 = e3
| e2 = e3
| e3 = op(e1,e0)
| ~ spl3_87
| ~ spl3_119
| ~ spl3_123 ),
inference(forward_demodulation,[],[f20616,f1094]) ).
fof(f20616,plain,
( e1 = e3
| e2 = e3
| e3 = op(e1,e1)
| e3 = op(e1,e0)
| ~ spl3_87
| ~ spl3_119 ),
inference(forward_demodulation,[],[f17665,f1020]) ).
fof(f17665,plain,
( e2 = e3
| e3 = op(e1,e2)
| e3 = op(e1,e1)
| e3 = op(e1,e0)
| ~ spl3_87 ),
inference(forward_demodulation,[],[f129,f671]) ).
fof(f20646,plain,
( ~ spl3_79
| spl3_11
| ~ spl3_112 ),
inference(avatar_split_clause,[],[f10656,f817,f302,f635]) ).
fof(f302,plain,
( spl3_11
<=> op(e1,e0) = op(e3,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_11])]) ).
fof(f10656,plain,
( e2 != op(e1,e0)
| spl3_11
| ~ spl3_112 ),
inference(superposition,[],[f304,f819]) ).
fof(f304,plain,
( op(e1,e0) != op(e3,e0)
| spl3_11 ),
inference(avatar_component_clause,[],[f302]) ).
fof(f20610,plain,
( spl3_87
| spl3_2
| spl3_4
| ~ spl3_118
| ~ spl3_119
| ~ spl3_123 ),
inference(avatar_split_clause,[],[f17825,f1092,f1019,f950,f267,f257,f670]) ).
fof(f17825,plain,
( e1 = e2
| e0 = e2
| e2 = op(e1,e3)
| ~ spl3_118
| ~ spl3_119
| ~ spl3_123 ),
inference(duplicate_literal_removal,[],[f17824]) ).
fof(f17824,plain,
( e1 = e2
| e1 = e2
| e0 = e2
| e2 = op(e1,e3)
| ~ spl3_118
| ~ spl3_119
| ~ spl3_123 ),
inference(forward_demodulation,[],[f17823,f1094]) ).
fof(f17823,plain,
( e1 = e2
| e0 = e2
| e2 = op(e1,e3)
| e2 = op(e1,e1)
| ~ spl3_118
| ~ spl3_119 ),
inference(forward_demodulation,[],[f1002,f1020]) ).
fof(f20567,plain,
( ~ spl3_131
| ~ spl3_82
| ~ spl3_102 ),
inference(avatar_split_clause,[],[f20499,f736,f648,f1483]) ).
fof(f20499,plain,
( e2 != op(e3,e1)
| ~ spl3_82
| ~ spl3_102 ),
inference(trivial_inequality_removal,[],[f20498]) ).
fof(f20498,plain,
( e1 != e1
| e2 != op(e3,e1)
| ~ spl3_82
| ~ spl3_102 ),
inference(forward_demodulation,[],[f18898,f738]) ).
fof(f18898,plain,
( e2 != op(e3,e1)
| op(e0,e0) != e1
| ~ spl3_82 ),
inference(trivial_inequality_removal,[],[f4387]) ).
fof(f4387,plain,
( e3 != e3
| e2 != op(e3,e1)
| op(e0,e0) != e1
| ~ spl3_82 ),
inference(forward_demodulation,[],[f240,f649]) ).
fof(f240,plain,
( e2 != op(e3,e1)
| e3 != op(e0,e1)
| op(e0,e0) != e1 ),
inference(inner_rewriting,[],[f239]) ).
fof(f239,plain,
( e2 != op(e3,op(e0,e0))
| e3 != op(e0,op(e0,e0))
| op(e0,e0) != e1 ),
inference(inner_rewriting,[],[f197]) ).
fof(f197,plain,
( e2 != op(op(e0,op(e0,e0)),op(e0,e0))
| e3 != op(e0,op(e0,e0))
| op(e0,e0) != e1 ),
inference(cnf_transformation,[],[f48]) ).
fof(f48,plain,
( e2 != op(op(e0,op(e0,e0)),op(e0,e0))
| e3 != op(e0,op(e0,e0))
| op(e0,e0) != e1 ),
inference(ennf_transformation,[],[f16]) ).
fof(f16,axiom,
~ ( e2 = op(op(e0,op(e0,e0)),op(e0,e0))
& e3 = op(e0,op(e0,e0))
& op(e0,e0) = e1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax16) ).
fof(f20427,plain,
( spl3_117
| spl3_1
| spl3_3
| ~ spl3_64
| ~ spl3_75
| ~ spl3_84
| ~ spl3_113 ),
inference(avatar_split_clause,[],[f20414,f835,f657,f618,f564,f262,f252,f906]) ).
fof(f20414,plain,
( e0 = e3
| e0 = e1
| e0 = op(e3,e0)
| ~ spl3_64
| ~ spl3_75
| ~ spl3_84
| ~ spl3_113 ),
inference(forward_demodulation,[],[f20413,f837]) ).
fof(f20413,plain,
( e0 = e1
| e0 = op(e3,e0)
| e0 = op(e0,e0)
| ~ spl3_64
| ~ spl3_75
| ~ spl3_84 ),
inference(duplicate_literal_removal,[],[f20412]) ).
fof(f20412,plain,
( e0 = e1
| e0 = e1
| e0 = op(e3,e0)
| e0 = op(e0,e0)
| ~ spl3_64
| ~ spl3_75
| ~ spl3_84 ),
inference(forward_demodulation,[],[f18057,f20316]) ).
fof(f20316,plain,
( e1 = op(e1,e0)
| ~ spl3_64
| ~ spl3_84 ),
inference(superposition,[],[f566,f658]) ).
fof(f658,plain,
( e0 = op(e3,e1)
| ~ spl3_84 ),
inference(avatar_component_clause,[],[f657]) ).
fof(f18057,plain,
( e0 = e1
| e0 = op(e3,e0)
| e0 = op(e1,e0)
| e0 = op(e0,e0)
| ~ spl3_75 ),
inference(forward_demodulation,[],[f116,f619]) ).
fof(f116,plain,
( e0 = op(e3,e0)
| e0 = op(e2,e0)
| e0 = op(e1,e0)
| e0 = op(e0,e0) ),
inference(cnf_transformation,[],[f2]) ).
fof(f20400,plain,
( spl3_4
| spl3_6
| spl3_2
| ~ spl3_86
| ~ spl3_97
| ~ spl3_105
| ~ spl3_128 ),
inference(avatar_split_clause,[],[f20347,f1189,f757,f713,f666,f257,f277,f267]) ).
fof(f20347,plain,
( e0 = e2
| e2 = e3
| e1 = e2
| ~ spl3_86
| ~ spl3_97
| ~ spl3_105
| ~ spl3_128 ),
inference(forward_demodulation,[],[f20159,f714]) ).
fof(f714,plain,
( e0 = op(e1,e3)
| ~ spl3_97 ),
inference(avatar_component_clause,[],[f713]) ).
fof(f20159,plain,
( e2 = e3
| e1 = e2
| e2 = op(e1,e3)
| ~ spl3_86
| ~ spl3_105
| ~ spl3_128 ),
inference(duplicate_literal_removal,[],[f12060]) ).
fof(f12060,plain,
( e2 = e3
| e2 = e3
| e1 = e2
| e2 = op(e1,e3)
| ~ spl3_86
| ~ spl3_105
| ~ spl3_128 ),
inference(forward_demodulation,[],[f11096,f667]) ).
fof(f11096,plain,
( e2 = e3
| e1 = e2
| e2 = op(e1,e3)
| e2 = op(e1,e1)
| ~ spl3_105
| ~ spl3_128 ),
inference(forward_demodulation,[],[f10937,f1191]) ).
fof(f10937,plain,
( e1 = e2
| e2 = op(e1,e3)
| e2 = op(e1,e2)
| e2 = op(e1,e1)
| ~ spl3_105 ),
inference(forward_demodulation,[],[f127,f759]) ).
fof(f20396,plain,
( ~ spl3_99
| spl3_58
| ~ spl3_105 ),
inference(avatar_split_clause,[],[f16931,f757,f535,f722]) ).
fof(f16931,plain,
( e0 != op(e0,e1)
| spl3_58
| ~ spl3_105 ),
inference(forward_demodulation,[],[f536,f759]) ).
fof(f536,plain,
( e0 != op(e0,op(e1,e0))
| spl3_58 ),
inference(avatar_component_clause,[],[f535]) ).
fof(f20391,plain,
( spl3_100
| ~ spl3_61
| ~ spl3_112 ),
inference(avatar_split_clause,[],[f13494,f817,f549,f726]) ).
fof(f20320,plain,
( spl3_4
| ~ spl3_110
| ~ spl3_124 ),
inference(avatar_split_clause,[],[f16095,f1096,f808,f267]) ).
fof(f16095,plain,
( e1 = e2
| ~ spl3_110
| ~ spl3_124 ),
inference(superposition,[],[f1098,f809]) ).
fof(f20310,plain,
( spl3_3
| ~ spl3_71
| ~ spl3_84
| ~ spl3_104 ),
inference(avatar_split_clause,[],[f20299,f744,f657,f599,f262]) ).
fof(f599,plain,
( spl3_71
<=> e3 = op(e3,op(e0,e3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_71])]) ).
fof(f20299,plain,
( e0 = e3
| ~ spl3_71
| ~ spl3_84
| ~ spl3_104 ),
inference(forward_demodulation,[],[f19388,f658]) ).
fof(f19388,plain,
( e3 = op(e3,e1)
| ~ spl3_71
| ~ spl3_104 ),
inference(forward_demodulation,[],[f601,f746]) ).
fof(f601,plain,
( e3 = op(e3,op(e0,e3))
| ~ spl3_71 ),
inference(avatar_component_clause,[],[f599]) ).
fof(f20156,plain,
( spl3_97
| spl3_2
| spl3_3
| ~ spl3_79
| ~ spl3_86
| ~ spl3_122 ),
inference(avatar_split_clause,[],[f20099,f1072,f666,f635,f262,f257,f713]) ).
fof(f20099,plain,
( e0 = e3
| e0 = e2
| e0 = op(e1,e3)
| ~ spl3_79
| ~ spl3_86
| ~ spl3_122 ),
inference(forward_demodulation,[],[f19460,f667]) ).
fof(f19460,plain,
( e0 = e2
| e0 = op(e1,e3)
| e0 = op(e1,e1)
| ~ spl3_79
| ~ spl3_122 ),
inference(duplicate_literal_removal,[],[f18966]) ).
fof(f18966,plain,
( e0 = e2
| e0 = e2
| e0 = op(e1,e3)
| e0 = op(e1,e1)
| ~ spl3_79
| ~ spl3_122 ),
inference(forward_demodulation,[],[f14870,f1074]) ).
fof(f14870,plain,
( e0 = e2
| e0 = op(e1,e3)
| e0 = op(e1,e2)
| e0 = op(e1,e1)
| ~ spl3_79 ),
inference(forward_demodulation,[],[f123,f636]) ).
fof(f636,plain,
( e2 = op(e1,e0)
| ~ spl3_79 ),
inference(avatar_component_clause,[],[f635]) ).
fof(f20057,plain,
( spl3_2
| ~ spl3_68
| ~ spl3_93
| ~ spl3_116 ),
inference(avatar_split_clause,[],[f20053,f902,f696,f584,f257]) ).
fof(f20053,plain,
( e0 = e2
| ~ spl3_68
| ~ spl3_93
| ~ spl3_116 ),
inference(forward_demodulation,[],[f17833,f904]) ).
fof(f20052,plain,
( spl3_93
| spl3_3
| spl3_1
| spl3_2
| ~ spl3_95
| ~ spl3_107
| ~ spl3_119 ),
inference(avatar_split_clause,[],[f19944,f1019,f770,f705,f257,f252,f262,f696]) ).
fof(f19944,plain,
( e0 = e2
| e0 = e1
| e0 = e3
| e0 = op(e3,e2)
| ~ spl3_95
| ~ spl3_107
| ~ spl3_119 ),
inference(forward_demodulation,[],[f19943,f772]) ).
fof(f19943,plain,
( e0 = e1
| e0 = e3
| e0 = op(e3,e2)
| e0 = op(e0,e2)
| ~ spl3_95
| ~ spl3_119 ),
inference(forward_demodulation,[],[f18188,f1020]) ).
fof(f18188,plain,
( e0 = e3
| e0 = op(e3,e2)
| e0 = op(e1,e2)
| e0 = op(e0,e2)
| ~ spl3_95 ),
inference(forward_demodulation,[],[f132,f706]) ).
fof(f132,plain,
( e0 = op(e3,e2)
| e0 = op(e2,e2)
| e0 = op(e1,e2)
| e0 = op(e0,e2) ),
inference(cnf_transformation,[],[f2]) ).
fof(f19917,plain,
( spl3_109
| spl3_97
| spl3_3
| spl3_2
| ~ spl3_79
| ~ spl3_128 ),
inference(avatar_split_clause,[],[f14888,f1189,f635,f257,f262,f713,f799]) ).
fof(f14888,plain,
( e0 = e2
| e0 = e3
| e0 = op(e1,e3)
| e0 = op(e1,e1)
| ~ spl3_79
| ~ spl3_128 ),
inference(forward_demodulation,[],[f12653,f636]) ).
fof(f19915,plain,
( ~ spl3_135
| spl3_72
| ~ spl3_135 ),
inference(avatar_split_clause,[],[f19249,f2944,f604,f2944]) ).
fof(f604,plain,
( spl3_72
<=> e3 = op(e3,op(e3,e3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_72])]) ).
fof(f19249,plain,
( e3 != op(e3,e3)
| spl3_72
| ~ spl3_135 ),
inference(forward_demodulation,[],[f605,f2945]) ).
fof(f2945,plain,
( e3 = op(e3,e3)
| ~ spl3_135 ),
inference(avatar_component_clause,[],[f2944]) ).
fof(f605,plain,
( e3 != op(e3,op(e3,e3))
| spl3_72 ),
inference(avatar_component_clause,[],[f604]) ).
fof(f19902,plain,
( spl3_135
| spl3_6
| spl3_5
| spl3_3
| ~ spl3_117
| ~ spl3_125
| ~ spl3_132 ),
inference(avatar_split_clause,[],[f19856,f1487,f1100,f906,f262,f272,f277,f2944]) ).
fof(f19856,plain,
( e0 = e3
| e1 = e3
| e2 = e3
| e3 = op(e3,e3)
| ~ spl3_117
| ~ spl3_125
| ~ spl3_132 ),
inference(forward_demodulation,[],[f17360,f908]) ).
fof(f17360,plain,
( e1 = e3
| e2 = e3
| e3 = op(e3,e3)
| e3 = op(e3,e0)
| ~ spl3_125
| ~ spl3_132 ),
inference(forward_demodulation,[],[f15061,f1102]) ).
fof(f15061,plain,
( e2 = e3
| e3 = op(e3,e3)
| e3 = op(e3,e1)
| e3 = op(e3,e0)
| ~ spl3_132 ),
inference(forward_demodulation,[],[f145,f1489]) ).
fof(f19899,plain,
( spl3_74
| spl3_93
| spl3_1
| ~ spl3_65
| ~ spl3_89
| ~ spl3_94 ),
inference(avatar_split_clause,[],[f19894,f700,f679,f569,f252,f696,f614]) ).
fof(f700,plain,
( spl3_94
<=> e1 = op(e0,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_94])]) ).
fof(f19894,plain,
( e0 = e1
| e0 = op(e3,e2)
| e0 = op(e2,e2)
| ~ spl3_65
| ~ spl3_89
| ~ spl3_94 ),
inference(duplicate_literal_removal,[],[f19893]) ).
fof(f19893,plain,
( e0 = e1
| e0 = e1
| e0 = op(e3,e2)
| e0 = op(e2,e2)
| ~ spl3_65
| ~ spl3_89
| ~ spl3_94 ),
inference(forward_demodulation,[],[f8251,f701]) ).
fof(f701,plain,
( e1 = op(e0,e2)
| ~ spl3_94 ),
inference(avatar_component_clause,[],[f700]) ).
fof(f8251,plain,
( e0 = e1
| e0 = op(e3,e2)
| e0 = op(e2,e2)
| e0 = op(e0,e2)
| ~ spl3_65
| ~ spl3_89 ),
inference(forward_demodulation,[],[f132,f8175]) ).
fof(f19891,plain,
( spl3_89
| spl3_2
| spl3_6
| spl3_4
| ~ spl3_99
| ~ spl3_115
| ~ spl3_125 ),
inference(avatar_split_clause,[],[f17295,f1100,f896,f722,f267,f277,f257,f679]) ).
fof(f17295,plain,
( e1 = e2
| e2 = e3
| e0 = e2
| e2 = op(e1,e1)
| ~ spl3_99
| ~ spl3_115
| ~ spl3_125 ),
inference(forward_demodulation,[],[f12509,f1102]) ).
fof(f12509,plain,
( e2 = e3
| e0 = e2
| e2 = op(e3,e1)
| e2 = op(e1,e1)
| ~ spl3_99
| ~ spl3_115 ),
inference(forward_demodulation,[],[f2833,f897]) ).
fof(f2833,plain,
( e0 = e2
| e2 = op(e3,e1)
| e2 = op(e2,e1)
| e2 = op(e1,e1)
| ~ spl3_99 ),
inference(forward_demodulation,[],[f128,f724]) ).
fof(f724,plain,
( e0 = op(e0,e1)
| ~ spl3_99 ),
inference(avatar_component_clause,[],[f722]) ).
fof(f19889,plain,
( ~ spl3_131
| spl3_52
| ~ spl3_132 ),
inference(avatar_split_clause,[],[f18653,f1487,f507,f1483]) ).
fof(f507,plain,
( spl3_52
<=> op(e3,e1) = op(e3,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_52])]) ).
fof(f18653,plain,
( e2 != op(e3,e1)
| spl3_52
| ~ spl3_132 ),
inference(superposition,[],[f509,f1489]) ).
fof(f509,plain,
( op(e3,e1) != op(e3,e2)
| spl3_52 ),
inference(avatar_component_clause,[],[f507]) ).
fof(f19840,plain,
( spl3_127
| spl3_6
| spl3_5
| ~ spl3_83
| ~ spl3_108
| ~ spl3_130 ),
inference(avatar_split_clause,[],[f19807,f1477,f774,f653,f272,f277,f1150]) ).
fof(f1150,plain,
( spl3_127
<=> e3 = op(e2,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_127])]) ).
fof(f19807,plain,
( e1 = e3
| e2 = e3
| e3 = op(e2,e3)
| ~ spl3_83
| ~ spl3_108
| ~ spl3_130 ),
inference(duplicate_literal_removal,[],[f19806]) ).
fof(f19806,plain,
( e1 = e3
| e1 = e3
| e2 = e3
| e3 = op(e2,e3)
| ~ spl3_83
| ~ spl3_108
| ~ spl3_130 ),
inference(forward_demodulation,[],[f19284,f1478]) ).
fof(f19284,plain,
( e1 = e3
| e2 = e3
| e3 = op(e2,e3)
| e3 = op(e1,e3)
| ~ spl3_83
| ~ spl3_108 ),
inference(forward_demodulation,[],[f4791,f654]) ).
fof(f4791,plain,
( e2 = e3
| e3 = op(e3,e3)
| e3 = op(e2,e3)
| e3 = op(e1,e3)
| ~ spl3_108 ),
inference(forward_demodulation,[],[f146,f776]) ).
fof(f19804,plain,
( spl3_83
| spl3_5
| spl3_4
| spl3_1
| ~ spl3_117
| ~ spl3_129
| ~ spl3_131 ),
inference(avatar_split_clause,[],[f19764,f1483,f1193,f906,f252,f267,f272,f653]) ).
fof(f19764,plain,
( e0 = e1
| e1 = e2
| e1 = e3
| e1 = op(e3,e3)
| ~ spl3_117
| ~ spl3_129
| ~ spl3_131 ),
inference(forward_demodulation,[],[f19355,f908]) ).
fof(f19355,plain,
( e1 = e2
| e1 = e3
| e1 = op(e3,e3)
| e1 = op(e3,e0)
| ~ spl3_129
| ~ spl3_131 ),
inference(forward_demodulation,[],[f10873,f1485]) ).
fof(f10873,plain,
( e1 = e3
| e1 = op(e3,e3)
| e1 = op(e3,e1)
| e1 = op(e3,e0)
| ~ spl3_129 ),
inference(forward_demodulation,[],[f141,f1195]) ).
fof(f19802,plain,
( ~ spl3_136
| spl3_68
| ~ spl3_129 ),
inference(avatar_split_clause,[],[f19659,f1193,f584,f3629]) ).
fof(f19659,plain,
( e2 != op(e2,e3)
| spl3_68
| ~ spl3_129 ),
inference(forward_demodulation,[],[f585,f1195]) ).
fof(f585,plain,
( e2 != op(e2,op(e3,e2))
| spl3_68 ),
inference(avatar_component_clause,[],[f584]) ).
fof(f19738,plain,
( spl3_127
| spl3_6
| spl3_5
| ~ spl3_92
| ~ spl3_108
| ~ spl3_130 ),
inference(avatar_split_clause,[],[f19628,f1477,f774,f692,f272,f277,f1150]) ).
fof(f19628,plain,
( e1 = e3
| e2 = e3
| e3 = op(e2,e3)
| ~ spl3_92
| ~ spl3_108
| ~ spl3_130 ),
inference(forward_demodulation,[],[f18710,f1478]) ).
fof(f18710,plain,
( e2 = e3
| e3 = op(e2,e3)
| e3 = op(e1,e3)
| ~ spl3_92
| ~ spl3_108 ),
inference(duplicate_literal_removal,[],[f16416]) ).
fof(f16416,plain,
( e2 = e3
| e2 = e3
| e3 = op(e2,e3)
| e3 = op(e1,e3)
| ~ spl3_92
| ~ spl3_108 ),
inference(forward_demodulation,[],[f4791,f693]) ).
fof(f19718,plain,
( spl3_86
| spl3_6
| spl3_5
| ~ spl3_79
| ~ spl3_119
| ~ spl3_130 ),
inference(avatar_split_clause,[],[f19620,f1477,f1019,f635,f272,f277,f666]) ).
fof(f19620,plain,
( e1 = e3
| e2 = e3
| e3 = op(e1,e1)
| ~ spl3_79
| ~ spl3_119
| ~ spl3_130 ),
inference(duplicate_literal_removal,[],[f19619]) ).
fof(f19619,plain,
( e1 = e3
| e2 = e3
| e1 = e3
| e3 = op(e1,e1)
| ~ spl3_79
| ~ spl3_119
| ~ spl3_130 ),
inference(forward_demodulation,[],[f19139,f1478]) ).
fof(f19139,plain,
( e2 = e3
| e1 = e3
| e3 = op(e1,e3)
| e3 = op(e1,e1)
| ~ spl3_79
| ~ spl3_119 ),
inference(forward_demodulation,[],[f17734,f636]) ).
fof(f17734,plain,
( e1 = e3
| e3 = op(e1,e3)
| e3 = op(e1,e1)
| e3 = op(e1,e0)
| ~ spl3_119 ),
inference(forward_demodulation,[],[f129,f1020]) ).
fof(f19716,plain,
( ~ spl3_107
| spl3_36
| ~ spl3_108 ),
inference(avatar_split_clause,[],[f16477,f774,f427,f770]) ).
fof(f16477,plain,
( e2 != op(e0,e2)
| spl3_36
| ~ spl3_108 ),
inference(superposition,[],[f429,f776]) ).
fof(f19714,plain,
( ~ spl3_129
| spl3_71
| ~ spl3_108 ),
inference(avatar_split_clause,[],[f19155,f774,f599,f1193]) ).
fof(f19155,plain,
( e3 != op(e3,e2)
| spl3_71
| ~ spl3_108 ),
inference(forward_demodulation,[],[f600,f776]) ).
fof(f600,plain,
( e3 != op(e3,op(e0,e3))
| spl3_71 ),
inference(avatar_component_clause,[],[f599]) ).
fof(f19593,plain,
( spl3_131
| spl3_2
| spl3_6
| spl3_4
| ~ spl3_99
| ~ spl3_115
| ~ spl3_123 ),
inference(avatar_split_clause,[],[f19473,f1092,f896,f722,f267,f277,f257,f1483]) ).
fof(f19473,plain,
( e1 = e2
| e2 = e3
| e0 = e2
| e2 = op(e3,e1)
| ~ spl3_99
| ~ spl3_115
| ~ spl3_123 ),
inference(forward_demodulation,[],[f19472,f1094]) ).
fof(f19472,plain,
( e2 = e3
| e0 = e2
| e2 = op(e3,e1)
| e2 = op(e1,e1)
| ~ spl3_99
| ~ spl3_115 ),
inference(forward_demodulation,[],[f2833,f897]) ).
fof(f19584,plain,
( spl3_137
| spl3_6
| spl3_5
| ~ spl3_92
| ~ spl3_104
| ~ spl3_136 ),
inference(avatar_split_clause,[],[f19493,f3629,f744,f692,f272,f277,f10132]) ).
fof(f19493,plain,
( e1 = e3
| e2 = e3
| e3 = op(e1,e3)
| ~ spl3_92
| ~ spl3_104
| ~ spl3_136 ),
inference(forward_demodulation,[],[f17021,f746]) ).
fof(f17021,plain,
( e2 = e3
| e3 = op(e1,e3)
| e3 = op(e0,e3)
| ~ spl3_92
| ~ spl3_136 ),
inference(duplicate_literal_removal,[],[f17020]) ).
fof(f17020,plain,
( e2 = e3
| e2 = e3
| e3 = op(e1,e3)
| e3 = op(e0,e3)
| ~ spl3_92
| ~ spl3_136 ),
inference(forward_demodulation,[],[f16397,f3630]) ).
fof(f3630,plain,
( e2 = op(e2,e3)
| ~ spl3_136 ),
inference(avatar_component_clause,[],[f3629]) ).
fof(f16397,plain,
( e2 = e3
| e3 = op(e2,e3)
| e3 = op(e1,e3)
| e3 = op(e0,e3)
| ~ spl3_92 ),
inference(forward_demodulation,[],[f146,f693]) ).
fof(f19567,plain,
( spl3_97
| spl3_2
| spl3_1
| ~ spl3_79
| ~ spl3_122
| ~ spl3_123 ),
inference(avatar_split_clause,[],[f19486,f1092,f1072,f635,f252,f257,f713]) ).
fof(f19486,plain,
( e0 = e1
| e0 = e2
| e0 = op(e1,e3)
| ~ spl3_79
| ~ spl3_122
| ~ spl3_123 ),
inference(forward_demodulation,[],[f18967,f1094]) ).
fof(f18967,plain,
( e0 = e2
| e0 = op(e1,e3)
| e0 = op(e1,e1)
| ~ spl3_79
| ~ spl3_122 ),
inference(duplicate_literal_removal,[],[f18966]) ).
fof(f19453,plain,
( ~ spl3_117
| spl3_51
| ~ spl3_77 ),
inference(avatar_split_clause,[],[f18763,f627,f502,f906]) ).
fof(f502,plain,
( spl3_51
<=> op(e3,e0) = op(e3,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_51])]) ).
fof(f18763,plain,
( e0 != op(e3,e0)
| spl3_51
| ~ spl3_77 ),
inference(superposition,[],[f504,f628]) ).
fof(f504,plain,
( op(e3,e0) != op(e3,e3)
| spl3_51 ),
inference(avatar_component_clause,[],[f502]) ).
fof(f19395,plain,
( spl3_6
| ~ spl3_71
| ~ spl3_104
| ~ spl3_131 ),
inference(avatar_split_clause,[],[f19381,f1483,f744,f599,f277]) ).
fof(f19381,plain,
( e2 = e3
| ~ spl3_71
| ~ spl3_104
| ~ spl3_131 ),
inference(forward_demodulation,[],[f16624,f1485]) ).
fof(f16624,plain,
( e3 = op(e3,e1)
| ~ spl3_71
| ~ spl3_104 ),
inference(superposition,[],[f601,f746]) ).
fof(f19321,plain,
( spl3_137
| spl3_5
| spl3_6
| ~ spl3_83
| ~ spl3_108
| ~ spl3_136 ),
inference(avatar_split_clause,[],[f19241,f3629,f774,f653,f277,f272,f10132]) ).
fof(f19241,plain,
( e2 = e3
| e1 = e3
| e3 = op(e1,e3)
| ~ spl3_83
| ~ spl3_108
| ~ spl3_136 ),
inference(duplicate_literal_removal,[],[f19240]) ).
fof(f19240,plain,
( e2 = e3
| e2 = e3
| e1 = e3
| e3 = op(e1,e3)
| ~ spl3_83
| ~ spl3_108
| ~ spl3_136 ),
inference(forward_demodulation,[],[f19239,f776]) ).
fof(f19239,plain,
( e2 = e3
| e1 = e3
| e3 = op(e1,e3)
| e3 = op(e0,e3)
| ~ spl3_83
| ~ spl3_136 ),
inference(forward_demodulation,[],[f18233,f3630]) ).
fof(f18233,plain,
( e1 = e3
| e3 = op(e2,e3)
| e3 = op(e1,e3)
| e3 = op(e0,e3)
| ~ spl3_83 ),
inference(forward_demodulation,[],[f146,f654]) ).
fof(f19258,plain,
( spl3_5
| ~ spl3_83
| ~ spl3_135 ),
inference(avatar_split_clause,[],[f4461,f2944,f653,f272]) ).
fof(f4461,plain,
( e1 = e3
| ~ spl3_83
| ~ spl3_135 ),
inference(superposition,[],[f654,f2945]) ).
fof(f19216,plain,
( spl3_117
| spl3_1
| spl3_2
| spl3_3
| ~ spl3_75
| ~ spl3_79
| ~ spl3_113 ),
inference(avatar_split_clause,[],[f19149,f835,f635,f618,f262,f257,f252,f906]) ).
fof(f19149,plain,
( e0 = e3
| e0 = e2
| e0 = e1
| e0 = op(e3,e0)
| ~ spl3_75
| ~ spl3_79
| ~ spl3_113 ),
inference(forward_demodulation,[],[f19148,f837]) ).
fof(f19148,plain,
( e0 = e2
| e0 = e1
| e0 = op(e3,e0)
| e0 = op(e0,e0)
| ~ spl3_75
| ~ spl3_79 ),
inference(forward_demodulation,[],[f18057,f636]) ).
fof(f19213,plain,
( ~ spl3_96
| ~ spl3_108
| ~ spl3_113 ),
inference(avatar_split_clause,[],[f19143,f835,f774,f709]) ).
fof(f19143,plain,
( e1 != op(e2,e3)
| ~ spl3_108
| ~ spl3_113 ),
inference(trivial_inequality_removal,[],[f19142]) ).
fof(f19142,plain,
( e2 != e2
| e1 != op(e2,e3)
| ~ spl3_108
| ~ spl3_113 ),
inference(forward_demodulation,[],[f15266,f776]) ).
fof(f15266,plain,
( e1 != op(e2,e3)
| e2 != op(e0,e3)
| ~ spl3_113 ),
inference(trivial_inequality_removal,[],[f10531]) ).
fof(f10531,plain,
( e3 != e3
| e1 != op(e2,e3)
| e2 != op(e0,e3)
| ~ spl3_113 ),
inference(forward_demodulation,[],[f248,f837]) ).
fof(f248,plain,
( e1 != op(e2,e3)
| e2 != op(e0,e3)
| op(e0,e0) != e3 ),
inference(inner_rewriting,[],[f247]) ).
fof(f247,plain,
( e1 != op(e2,op(e0,e0))
| e2 != op(e0,op(e0,e0))
| op(e0,e0) != e3 ),
inference(inner_rewriting,[],[f201]) ).
fof(f201,plain,
( e1 != op(op(e0,op(e0,e0)),op(e0,e0))
| e2 != op(e0,op(e0,e0))
| op(e0,e0) != e3 ),
inference(cnf_transformation,[],[f52]) ).
fof(f52,plain,
( e1 != op(op(e0,op(e0,e0)),op(e0,e0))
| e2 != op(e0,op(e0,e0))
| op(e0,e0) != e3 ),
inference(ennf_transformation,[],[f28]) ).
fof(f28,axiom,
~ ( e1 = op(op(e0,op(e0,e0)),op(e0,e0))
& e2 = op(e0,op(e0,e0))
& op(e0,e0) = e3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax28) ).
fof(f19127,plain,
( spl3_77
| spl3_1
| spl3_2
| ~ spl3_96
| ~ spl3_108
| ~ spl3_130 ),
inference(avatar_split_clause,[],[f18944,f1477,f774,f709,f257,f252,f627]) ).
fof(f18944,plain,
( e0 = e2
| e0 = e1
| e0 = op(e3,e3)
| ~ spl3_96
| ~ spl3_108
| ~ spl3_130 ),
inference(forward_demodulation,[],[f10990,f776]) ).
fof(f10990,plain,
( e0 = e1
| e0 = op(e3,e3)
| e0 = op(e0,e3)
| ~ spl3_96
| ~ spl3_130 ),
inference(duplicate_literal_removal,[],[f10638]) ).
fof(f10638,plain,
( e0 = e1
| e0 = e1
| e0 = op(e3,e3)
| e0 = op(e0,e3)
| ~ spl3_96
| ~ spl3_130 ),
inference(forward_demodulation,[],[f5763,f1478]) ).
fof(f5763,plain,
( e0 = e1
| e0 = op(e3,e3)
| e0 = op(e1,e3)
| e0 = op(e0,e3)
| ~ spl3_96 ),
inference(forward_demodulation,[],[f140,f710]) ).
fof(f19116,plain,
( spl3_135
| spl3_5
| spl3_6
| ~ spl3_96
| ~ spl3_108
| ~ spl3_130 ),
inference(avatar_split_clause,[],[f18941,f1477,f774,f709,f277,f272,f2944]) ).
fof(f18941,plain,
( e2 = e3
| e1 = e3
| e3 = op(e3,e3)
| ~ spl3_96
| ~ spl3_108
| ~ spl3_130 ),
inference(forward_demodulation,[],[f18940,f776]) ).
fof(f18940,plain,
( e1 = e3
| e3 = op(e3,e3)
| e3 = op(e0,e3)
| ~ spl3_96
| ~ spl3_130 ),
inference(duplicate_literal_removal,[],[f18939]) ).
fof(f18939,plain,
( e1 = e3
| e1 = e3
| e3 = op(e3,e3)
| e3 = op(e0,e3)
| ~ spl3_96
| ~ spl3_130 ),
inference(forward_demodulation,[],[f17212,f1478]) ).
fof(f17212,plain,
( e1 = e3
| e3 = op(e3,e3)
| e3 = op(e1,e3)
| e3 = op(e0,e3)
| ~ spl3_96 ),
inference(forward_demodulation,[],[f146,f710]) ).
fof(f19112,plain,
( ~ spl3_113
| spl3_8
| ~ spl3_120 ),
inference(avatar_split_clause,[],[f15001,f1035,f287,f835]) ).
fof(f19045,plain,
( spl3_6
| spl3_5
| ~ spl3_92
| ~ spl3_96
| ~ spl3_108
| ~ spl3_130 ),
inference(avatar_split_clause,[],[f18958,f1477,f774,f709,f692,f272,f277]) ).
fof(f18958,plain,
( e1 = e3
| e2 = e3
| ~ spl3_92
| ~ spl3_96
| ~ spl3_108
| ~ spl3_130 ),
inference(duplicate_literal_removal,[],[f18957]) ).
fof(f18957,plain,
( e1 = e3
| e1 = e3
| e2 = e3
| ~ spl3_92
| ~ spl3_96
| ~ spl3_108
| ~ spl3_130 ),
inference(forward_demodulation,[],[f18956,f1478]) ).
fof(f18956,plain,
( e1 = e3
| e2 = e3
| e3 = op(e1,e3)
| ~ spl3_92
| ~ spl3_96
| ~ spl3_108 ),
inference(forward_demodulation,[],[f18710,f710]) ).
fof(f18896,plain,
( spl3_6
| spl3_2
| spl3_4
| ~ spl3_93
| ~ spl3_94
| ~ spl3_95
| ~ spl3_119 ),
inference(avatar_split_clause,[],[f18851,f1019,f705,f700,f696,f267,f257,f277]) ).
fof(f18851,plain,
( e1 = e2
| e0 = e2
| e2 = e3
| ~ spl3_93
| ~ spl3_94
| ~ spl3_95
| ~ spl3_119 ),
inference(duplicate_literal_removal,[],[f18850]) ).
fof(f18850,plain,
( e1 = e2
| e1 = e2
| e0 = e2
| e2 = e3
| ~ spl3_93
| ~ spl3_94
| ~ spl3_95
| ~ spl3_119 ),
inference(forward_demodulation,[],[f17831,f701]) ).
fof(f17831,plain,
( e1 = e2
| e0 = e2
| e2 = e3
| e2 = op(e0,e2)
| ~ spl3_93
| ~ spl3_95
| ~ spl3_119 ),
inference(forward_demodulation,[],[f13006,f1020]) ).
fof(f13006,plain,
( e0 = e2
| e2 = e3
| e2 = op(e1,e2)
| e2 = op(e0,e2)
| ~ spl3_93
| ~ spl3_95 ),
inference(forward_demodulation,[],[f10534,f697]) ).
fof(f18889,plain,
( spl3_119
| ~ spl3_64
| ~ spl3_131 ),
inference(avatar_split_clause,[],[f16913,f1483,f564,f1019]) ).
fof(f16913,plain,
( e1 = op(e1,e2)
| ~ spl3_64
| ~ spl3_131 ),
inference(forward_demodulation,[],[f566,f1485]) ).
fof(f18826,plain,
( spl3_5
| spl3_6
| spl3_3
| ~ spl3_77
| ~ spl3_88
| ~ spl3_108
| ~ spl3_130 ),
inference(avatar_split_clause,[],[f18791,f1477,f774,f674,f627,f262,f277,f272]) ).
fof(f18791,plain,
( e0 = e3
| e2 = e3
| e1 = e3
| ~ spl3_77
| ~ spl3_88
| ~ spl3_108
| ~ spl3_130 ),
inference(duplicate_literal_removal,[],[f18790]) ).
fof(f18790,plain,
( e0 = e3
| e0 = e3
| e2 = e3
| e1 = e3
| ~ spl3_77
| ~ spl3_88
| ~ spl3_108
| ~ spl3_130 ),
inference(forward_demodulation,[],[f18789,f675]) ).
fof(f18789,plain,
( e0 = e3
| e2 = e3
| e1 = e3
| e3 = op(e2,e3)
| ~ spl3_77
| ~ spl3_108
| ~ spl3_130 ),
inference(forward_demodulation,[],[f18258,f628]) ).
fof(f18258,plain,
( e2 = e3
| e1 = e3
| e3 = op(e3,e3)
| e3 = op(e2,e3)
| ~ spl3_108
| ~ spl3_130 ),
inference(forward_demodulation,[],[f18257,f776]) ).
fof(f18257,plain,
( e1 = e3
| e3 = op(e3,e3)
| e3 = op(e2,e3)
| e3 = op(e0,e3)
| ~ spl3_130 ),
inference(forward_demodulation,[],[f146,f1478]) ).
fof(f18788,plain,
( spl3_130
| spl3_1
| spl3_4
| ~ spl3_77
| ~ spl3_88
| ~ spl3_108 ),
inference(avatar_split_clause,[],[f18747,f774,f674,f627,f267,f252,f1477]) ).
fof(f18747,plain,
( e1 = e2
| e0 = e1
| e1 = op(e1,e3)
| ~ spl3_77
| ~ spl3_88
| ~ spl3_108 ),
inference(forward_demodulation,[],[f18746,f776]) ).
fof(f18746,plain,
( e0 = e1
| e1 = op(e1,e3)
| e1 = op(e0,e3)
| ~ spl3_77
| ~ spl3_88 ),
inference(duplicate_literal_removal,[],[f18745]) ).
fof(f18745,plain,
( e0 = e1
| e0 = e1
| e1 = op(e1,e3)
| e1 = op(e0,e3)
| ~ spl3_77
| ~ spl3_88 ),
inference(forward_demodulation,[],[f15797,f675]) ).
fof(f15797,plain,
( e0 = e1
| e1 = op(e2,e3)
| e1 = op(e1,e3)
| e1 = op(e0,e3)
| ~ spl3_77 ),
inference(forward_demodulation,[],[f142,f628]) ).
fof(f18785,plain,
( ~ spl3_99
| spl3_61
| ~ spl3_78 ),
inference(avatar_split_clause,[],[f15585,f631,f549,f722]) ).
fof(f15585,plain,
( e0 != op(e0,e1)
| spl3_61
| ~ spl3_78 ),
inference(forward_demodulation,[],[f550,f632]) ).
fof(f18731,plain,
( spl3_137
| spl3_6
| spl3_3
| ~ spl3_88
| ~ spl3_92
| ~ spl3_108 ),
inference(avatar_split_clause,[],[f18717,f774,f692,f674,f262,f277,f10132]) ).
fof(f18717,plain,
( e0 = e3
| e2 = e3
| e3 = op(e1,e3)
| ~ spl3_88
| ~ spl3_92
| ~ spl3_108 ),
inference(forward_demodulation,[],[f18253,f675]) ).
fof(f18253,plain,
( e2 = e3
| e3 = op(e2,e3)
| e3 = op(e1,e3)
| ~ spl3_92
| ~ spl3_108 ),
inference(duplicate_literal_removal,[],[f16416]) ).
fof(f18708,plain,
( spl3_5
| ~ spl3_73
| ~ spl3_83
| ~ spl3_137 ),
inference(avatar_split_clause,[],[f18704,f10132,f653,f609,f272]) ).
fof(f18704,plain,
( e1 = e3
| ~ spl3_73
| ~ spl3_83
| ~ spl3_137 ),
inference(forward_demodulation,[],[f17186,f654]) ).
fof(f17186,plain,
( e3 = op(e3,e3)
| ~ spl3_73
| ~ spl3_137 ),
inference(forward_demodulation,[],[f611,f10134]) ).
fof(f18701,plain,
( spl3_137
| spl3_5
| spl3_3
| spl3_6
| ~ spl3_83
| ~ spl3_88
| ~ spl3_108 ),
inference(avatar_split_clause,[],[f18672,f774,f674,f653,f277,f262,f272,f10132]) ).
fof(f18672,plain,
( e2 = e3
| e0 = e3
| e1 = e3
| e3 = op(e1,e3)
| ~ spl3_83
| ~ spl3_88
| ~ spl3_108 ),
inference(forward_demodulation,[],[f18234,f776]) ).
fof(f18234,plain,
( e0 = e3
| e1 = e3
| e3 = op(e1,e3)
| e3 = op(e0,e3)
| ~ spl3_83
| ~ spl3_88 ),
inference(forward_demodulation,[],[f18233,f675]) ).
fof(f18699,plain,
( ~ spl3_82
| spl3_15
| ~ spl3_126 ),
inference(avatar_split_clause,[],[f15244,f1126,f322,f648]) ).
fof(f322,plain,
( spl3_15
<=> op(e0,e1) = op(e3,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_15])]) ).
fof(f15244,plain,
( e3 != op(e0,e1)
| spl3_15
| ~ spl3_126 ),
inference(superposition,[],[f324,f1128]) ).
fof(f324,plain,
( op(e0,e1) != op(e3,e1)
| spl3_15 ),
inference(avatar_component_clause,[],[f322]) ).
fof(f18667,plain,
( spl3_117
| spl3_1
| spl3_2
| spl3_3
| ~ spl3_105
| ~ spl3_111
| ~ spl3_113 ),
inference(avatar_split_clause,[],[f18378,f835,f813,f757,f262,f257,f252,f906]) ).
fof(f18378,plain,
( e0 = e3
| e0 = e2
| e0 = e1
| e0 = op(e3,e0)
| ~ spl3_105
| ~ spl3_111
| ~ spl3_113 ),
inference(forward_demodulation,[],[f16039,f837]) ).
fof(f16039,plain,
( e0 = e2
| e0 = e1
| e0 = op(e3,e0)
| e0 = op(e0,e0)
| ~ spl3_105
| ~ spl3_111 ),
inference(forward_demodulation,[],[f10716,f815]) ).
fof(f10716,plain,
( e0 = e1
| e0 = op(e3,e0)
| e0 = op(e2,e0)
| e0 = op(e0,e0)
| ~ spl3_105 ),
inference(forward_demodulation,[],[f116,f759]) ).
fof(f18663,plain,
( spl3_86
| spl3_5
| spl3_3
| ~ spl3_90
| ~ spl3_97
| ~ spl3_105 ),
inference(avatar_split_clause,[],[f18560,f757,f713,f683,f262,f272,f666]) ).
fof(f18560,plain,
( e0 = e3
| e1 = e3
| e3 = op(e1,e1)
| ~ spl3_90
| ~ spl3_97
| ~ spl3_105 ),
inference(duplicate_literal_removal,[],[f18559]) ).
fof(f18559,plain,
( e0 = e3
| e0 = e3
| e1 = e3
| e3 = op(e1,e1)
| ~ spl3_90
| ~ spl3_97
| ~ spl3_105 ),
inference(forward_demodulation,[],[f17210,f684]) ).
fof(f17210,plain,
( e0 = e3
| e1 = e3
| e3 = op(e1,e2)
| e3 = op(e1,e1)
| ~ spl3_97
| ~ spl3_105 ),
inference(forward_demodulation,[],[f13654,f714]) ).
fof(f13654,plain,
( e1 = e3
| e3 = op(e1,e3)
| e3 = op(e1,e2)
| e3 = op(e1,e1)
| ~ spl3_105 ),
inference(forward_demodulation,[],[f129,f759]) ).
fof(f18658,plain,
( ~ spl3_121
| spl3_49
| ~ spl3_126 ),
inference(avatar_split_clause,[],[f13897,f1126,f492,f1039]) ).
fof(f492,plain,
( spl3_49
<=> op(e3,e0) = op(e3,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_49])]) ).
fof(f13897,plain,
( e3 != op(e3,e0)
| spl3_49
| ~ spl3_126 ),
inference(superposition,[],[f494,f1128]) ).
fof(f494,plain,
( op(e3,e0) != op(e3,e1)
| spl3_49 ),
inference(avatar_component_clause,[],[f492]) ).
fof(f18636,plain,
( spl3_3
| spl3_6
| ~ spl3_88
| ~ spl3_92
| ~ spl3_97
| ~ spl3_108 ),
inference(avatar_split_clause,[],[f18591,f774,f713,f692,f674,f277,f262]) ).
fof(f18591,plain,
( e2 = e3
| e0 = e3
| ~ spl3_88
| ~ spl3_92
| ~ spl3_97
| ~ spl3_108 ),
inference(duplicate_literal_removal,[],[f18590]) ).
fof(f18590,plain,
( e2 = e3
| e0 = e3
| e2 = e3
| ~ spl3_88
| ~ spl3_92
| ~ spl3_97
| ~ spl3_108 ),
inference(forward_demodulation,[],[f18589,f776]) ).
fof(f18589,plain,
( e0 = e3
| e2 = e3
| e3 = op(e0,e3)
| ~ spl3_88
| ~ spl3_92
| ~ spl3_97 ),
inference(duplicate_literal_removal,[],[f18588]) ).
fof(f18588,plain,
( e0 = e3
| e2 = e3
| e0 = e3
| e3 = op(e0,e3)
| ~ spl3_88
| ~ spl3_92
| ~ spl3_97 ),
inference(forward_demodulation,[],[f18587,f714]) ).
fof(f18587,plain,
( e2 = e3
| e0 = e3
| e3 = op(e1,e3)
| e3 = op(e0,e3)
| ~ spl3_88
| ~ spl3_92 ),
inference(forward_demodulation,[],[f17806,f693]) ).
fof(f17806,plain,
( e0 = e3
| e3 = op(e3,e3)
| e3 = op(e1,e3)
| e3 = op(e0,e3)
| ~ spl3_88 ),
inference(forward_demodulation,[],[f146,f675]) ).
fof(f18633,plain,
( ~ spl3_105
| ~ spl3_58
| spl3_63
| ~ spl3_105 ),
inference(avatar_split_clause,[],[f9646,f757,f559,f535,f757]) ).
fof(f9646,plain,
( e1 != op(e1,e0)
| ~ spl3_58
| spl3_63
| ~ spl3_105 ),
inference(forward_demodulation,[],[f560,f9574]) ).
fof(f9574,plain,
( e0 = op(e0,e1)
| ~ spl3_58
| ~ spl3_105 ),
inference(superposition,[],[f537,f759]) ).
fof(f560,plain,
( e1 != op(e1,op(e0,e1))
| spl3_63 ),
inference(avatar_component_clause,[],[f559]) ).
fof(f18632,plain,
( ~ spl3_129
| spl3_72
| ~ spl3_92 ),
inference(avatar_split_clause,[],[f9627,f692,f604,f1193]) ).
fof(f9627,plain,
( e3 != op(e3,e2)
| spl3_72
| ~ spl3_92 ),
inference(forward_demodulation,[],[f605,f693]) ).
fof(f18518,plain,
( ~ spl3_92
| ~ spl3_90
| ~ spl3_134 ),
inference(avatar_split_clause,[],[f18411,f2369,f683,f692]) ).
fof(f18411,plain,
( e2 != op(e3,e3)
| ~ spl3_90
| ~ spl3_134 ),
inference(trivial_inequality_removal,[],[f18410]) ).
fof(f18410,plain,
( e1 != e1
| e2 != op(e3,e3)
| ~ spl3_90
| ~ spl3_134 ),
inference(forward_demodulation,[],[f18039,f2371]) ).
fof(f18039,plain,
( e1 != op(e3,e2)
| e2 != op(e3,e3)
| ~ spl3_90 ),
inference(trivial_inequality_removal,[],[f10148]) ).
fof(f10148,plain,
( e0 != e0
| e1 != op(e3,e2)
| e2 != op(e3,e3)
| ~ spl3_90 ),
inference(forward_demodulation,[],[f234,f684]) ).
fof(f234,plain,
( e0 != op(e1,e2)
| e1 != op(e3,e2)
| e2 != op(e3,e3) ),
inference(inner_rewriting,[],[f233]) ).
fof(f233,plain,
( e0 != op(e1,op(e3,e3))
| e1 != op(e3,op(e3,e3))
| e2 != op(e3,e3) ),
inference(inner_rewriting,[],[f194]) ).
fof(f194,plain,
( e0 != op(op(e3,op(e3,e3)),op(e3,e3))
| e1 != op(e3,op(e3,e3))
| e2 != op(e3,e3) ),
inference(cnf_transformation,[],[f45]) ).
fof(f45,plain,
( e0 != op(op(e3,op(e3,e3)),op(e3,e3))
| e1 != op(e3,op(e3,e3))
| e2 != op(e3,e3) ),
inference(ennf_transformation,[],[f21]) ).
fof(f21,axiom,
~ ( e0 = op(op(e3,op(e3,e3)),op(e3,e3))
& e1 = op(e3,op(e3,e3))
& e2 = op(e3,e3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax21) ).
fof(f18481,plain,
( spl3_2
| ~ spl3_68
| ~ spl3_81
| ~ spl3_134 ),
inference(avatar_split_clause,[],[f10538,f2369,f644,f584,f257]) ).
fof(f10538,plain,
( e0 = e2
| ~ spl3_68
| ~ spl3_81
| ~ spl3_134 ),
inference(forward_demodulation,[],[f4101,f645]) ).
fof(f18344,plain,
( spl3_77
| spl3_2
| spl3_3
| ~ spl3_121
| ~ spl3_129
| ~ spl3_131 ),
inference(avatar_split_clause,[],[f18320,f1483,f1193,f1039,f262,f257,f627]) ).
fof(f18320,plain,
( e0 = e3
| e0 = e2
| e0 = op(e3,e3)
| ~ spl3_121
| ~ spl3_129
| ~ spl3_131 ),
inference(duplicate_literal_removal,[],[f18319]) ).
fof(f18319,plain,
( e0 = e3
| e0 = e3
| e0 = e2
| e0 = op(e3,e3)
| ~ spl3_121
| ~ spl3_129
| ~ spl3_131 ),
inference(forward_demodulation,[],[f18072,f1041]) ).
fof(f18072,plain,
( e0 = e3
| e0 = e2
| e0 = op(e3,e3)
| e0 = op(e3,e0)
| ~ spl3_129
| ~ spl3_131 ),
inference(forward_demodulation,[],[f4481,f1195]) ).
fof(f18314,plain,
( spl3_125
| spl3_83
| spl3_5
| ~ spl3_121
| ~ spl3_129 ),
inference(avatar_split_clause,[],[f17856,f1193,f1039,f272,f653,f1100]) ).
fof(f17856,plain,
( e1 = e3
| e1 = op(e3,e3)
| e1 = op(e3,e1)
| ~ spl3_121
| ~ spl3_129 ),
inference(duplicate_literal_removal,[],[f17855]) ).
fof(f17855,plain,
( e1 = e3
| e1 = e3
| e1 = op(e3,e3)
| e1 = op(e3,e1)
| ~ spl3_121
| ~ spl3_129 ),
inference(forward_demodulation,[],[f10873,f1041]) ).
fof(f18311,plain,
( spl3_97
| spl3_1
| spl3_2
| ~ spl3_62
| ~ spl3_79
| ~ spl3_110
| ~ spl3_123 ),
inference(avatar_split_clause,[],[f17961,f1092,f808,f635,f554,f257,f252,f713]) ).
fof(f17961,plain,
( e0 = e2
| e0 = e1
| e0 = op(e1,e3)
| ~ spl3_62
| ~ spl3_79
| ~ spl3_110
| ~ spl3_123 ),
inference(forward_demodulation,[],[f15940,f636]) ).
fof(f15940,plain,
( e0 = e1
| e0 = op(e1,e3)
| e0 = op(e1,e0)
| ~ spl3_62
| ~ spl3_110
| ~ spl3_123 ),
inference(duplicate_literal_removal,[],[f4127]) ).
fof(f4127,plain,
( e0 = e1
| e0 = e1
| e0 = op(e1,e3)
| e0 = op(e1,e0)
| ~ spl3_62
| ~ spl3_110
| ~ spl3_123 ),
inference(forward_demodulation,[],[f1239,f4088]) ).
fof(f4088,plain,
( e1 = op(e1,e2)
| ~ spl3_62
| ~ spl3_110 ),
inference(superposition,[],[f556,f809]) ).
fof(f1239,plain,
( e0 = e1
| e0 = op(e1,e3)
| e0 = op(e1,e2)
| e0 = op(e1,e0)
| ~ spl3_123 ),
inference(forward_demodulation,[],[f123,f1094]) ).
fof(f18247,plain,
( spl3_5
| spl3_6
| ~ spl3_79
| ~ spl3_122
| ~ spl3_123
| ~ spl3_130 ),
inference(avatar_split_clause,[],[f18223,f1477,f1092,f1072,f635,f277,f272]) ).
fof(f18223,plain,
( e2 = e3
| e1 = e3
| ~ spl3_79
| ~ spl3_122
| ~ spl3_123
| ~ spl3_130 ),
inference(duplicate_literal_removal,[],[f18222]) ).
fof(f18222,plain,
( e2 = e3
| e2 = e3
| e1 = e3
| ~ spl3_79
| ~ spl3_122
| ~ spl3_123
| ~ spl3_130 ),
inference(forward_demodulation,[],[f18075,f1074]) ).
fof(f18075,plain,
( e2 = e3
| e1 = e3
| e3 = op(e1,e2)
| ~ spl3_79
| ~ spl3_123
| ~ spl3_130 ),
inference(forward_demodulation,[],[f18074,f636]) ).
fof(f18074,plain,
( e1 = e3
| e3 = op(e1,e2)
| e3 = op(e1,e0)
| ~ spl3_123
| ~ spl3_130 ),
inference(duplicate_literal_removal,[],[f18073]) ).
fof(f18073,plain,
( e1 = e3
| e1 = e3
| e3 = op(e1,e2)
| e3 = op(e1,e0)
| ~ spl3_123
| ~ spl3_130 ),
inference(forward_demodulation,[],[f15536,f1094]) ).
fof(f15536,plain,
( e1 = e3
| e3 = op(e1,e2)
| e3 = op(e1,e1)
| e3 = op(e1,e0)
| ~ spl3_130 ),
inference(forward_demodulation,[],[f129,f1478]) ).
fof(f18221,plain,
( spl3_119
| ~ spl3_83
| ~ spl3_129
| ~ spl3_135 ),
inference(avatar_split_clause,[],[f4601,f2944,f1193,f653,f1019]) ).
fof(f4601,plain,
( e1 = op(e1,e2)
| ~ spl3_83
| ~ spl3_129
| ~ spl3_135 ),
inference(forward_demodulation,[],[f1195,f4461]) ).
fof(f18204,plain,
( spl3_83
| spl3_4
| spl3_5
| ~ spl3_121
| ~ spl3_129
| ~ spl3_131 ),
inference(avatar_split_clause,[],[f18067,f1483,f1193,f1039,f272,f267,f653]) ).
fof(f18067,plain,
( e1 = e3
| e1 = e2
| e1 = op(e3,e3)
| ~ spl3_121
| ~ spl3_129
| ~ spl3_131 ),
inference(duplicate_literal_removal,[],[f18066]) ).
fof(f18066,plain,
( e1 = e3
| e1 = e3
| e1 = e2
| e1 = op(e3,e3)
| ~ spl3_121
| ~ spl3_129
| ~ spl3_131 ),
inference(forward_demodulation,[],[f16876,f1195]) ).
fof(f18202,plain,
( ~ spl3_127
| spl3_30
| ~ spl3_135 ),
inference(avatar_split_clause,[],[f12756,f2944,f397,f1150]) ).
fof(f397,plain,
( spl3_30
<=> op(e2,e3) = op(e3,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_30])]) ).
fof(f12756,plain,
( e3 != op(e2,e3)
| spl3_30
| ~ spl3_135 ),
inference(superposition,[],[f399,f2945]) ).
fof(f399,plain,
( op(e2,e3) != op(e3,e3)
| spl3_30 ),
inference(avatar_component_clause,[],[f397]) ).
fof(f18186,plain,
( spl3_3
| spl3_5
| spl3_6
| ~ spl3_79
| ~ spl3_90
| ~ spl3_123
| ~ spl3_130 ),
inference(avatar_split_clause,[],[f18089,f1477,f1092,f683,f635,f277,f272,f262]) ).
fof(f18089,plain,
( e2 = e3
| e1 = e3
| e0 = e3
| ~ spl3_79
| ~ spl3_90
| ~ spl3_123
| ~ spl3_130 ),
inference(forward_demodulation,[],[f18088,f636]) ).
fof(f18088,plain,
( e1 = e3
| e0 = e3
| e3 = op(e1,e0)
| ~ spl3_90
| ~ spl3_123
| ~ spl3_130 ),
inference(duplicate_literal_removal,[],[f18087]) ).
fof(f18087,plain,
( e1 = e3
| e1 = e3
| e0 = e3
| e3 = op(e1,e0)
| ~ spl3_90
| ~ spl3_123
| ~ spl3_130 ),
inference(forward_demodulation,[],[f18086,f1094]) ).
fof(f18086,plain,
( e1 = e3
| e0 = e3
| e3 = op(e1,e1)
| e3 = op(e1,e0)
| ~ spl3_90
| ~ spl3_130 ),
inference(forward_demodulation,[],[f16249,f1478]) ).
fof(f16249,plain,
( e0 = e3
| e3 = op(e1,e3)
| e3 = op(e1,e1)
| e3 = op(e1,e0)
| ~ spl3_90 ),
inference(forward_demodulation,[],[f129,f684]) ).
fof(f18037,plain,
( ~ spl3_106
| spl3_7
| ~ spl3_79 ),
inference(avatar_split_clause,[],[f14970,f635,f282,f766]) ).
fof(f282,plain,
( spl3_7
<=> op(e0,e0) = op(e1,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_7])]) ).
fof(f14970,plain,
( op(e0,e0) != e2
| spl3_7
| ~ spl3_79 ),
inference(superposition,[],[f284,f636]) ).
fof(f284,plain,
( op(e0,e0) != op(e1,e0)
| spl3_7 ),
inference(avatar_component_clause,[],[f282]) ).
fof(f18034,plain,
( ~ spl3_101
| spl3_61
| ~ spl3_121 ),
inference(avatar_split_clause,[],[f17942,f1039,f549,f730]) ).
fof(f17942,plain,
( e0 != op(e0,e3)
| spl3_61
| ~ spl3_121 ),
inference(forward_demodulation,[],[f550,f1041]) ).
fof(f18025,plain,
( spl3_129
| ~ spl3_72
| ~ spl3_92 ),
inference(avatar_split_clause,[],[f17479,f692,f604,f1193]) ).
fof(f17479,plain,
( e3 = op(e3,e2)
| ~ spl3_72
| ~ spl3_92 ),
inference(forward_demodulation,[],[f606,f693]) ).
fof(f606,plain,
( e3 = op(e3,op(e3,e3))
| ~ spl3_72 ),
inference(avatar_component_clause,[],[f604]) ).
fof(f18020,plain,
( spl3_100
| ~ spl3_58
| ~ spl3_79 ),
inference(avatar_split_clause,[],[f14942,f635,f535,f726]) ).
fof(f14942,plain,
( e0 = op(e0,e2)
| ~ spl3_58
| ~ spl3_79 ),
inference(forward_demodulation,[],[f537,f636]) ).
fof(f17946,plain,
( spl3_2
| ~ spl3_79
| ~ spl3_93
| ~ spl3_97
| ~ spl3_129 ),
inference(avatar_split_clause,[],[f17936,f1193,f713,f696,f635,f257]) ).
fof(f17936,plain,
( e0 = e2
| ~ spl3_79
| ~ spl3_93
| ~ spl3_97
| ~ spl3_129 ),
inference(forward_demodulation,[],[f636,f17908]) ).
fof(f17908,plain,
( e0 = op(e1,e0)
| ~ spl3_93
| ~ spl3_97
| ~ spl3_129 ),
inference(forward_demodulation,[],[f714,f4430]) ).
fof(f4430,plain,
( e0 = e3
| ~ spl3_93
| ~ spl3_129 ),
inference(superposition,[],[f697,f1195]) ).
fof(f17845,plain,
( spl3_4
| ~ spl3_68
| ~ spl3_75
| ~ spl3_93 ),
inference(avatar_split_clause,[],[f4441,f696,f618,f584,f267]) ).
fof(f4441,plain,
( e1 = e2
| ~ spl3_68
| ~ spl3_75
| ~ spl3_93 ),
inference(forward_demodulation,[],[f4436,f619]) ).
fof(f4436,plain,
( e2 = op(e2,e0)
| ~ spl3_68
| ~ spl3_93 ),
inference(superposition,[],[f586,f697]) ).
fof(f17791,plain,
( spl3_93
| spl3_3
| spl3_1
| ~ spl3_94
| ~ spl3_95
| ~ spl3_119 ),
inference(avatar_split_clause,[],[f15840,f1019,f705,f700,f252,f262,f696]) ).
fof(f15840,plain,
( e0 = e1
| e0 = e3
| e0 = op(e3,e2)
| ~ spl3_94
| ~ spl3_95
| ~ spl3_119 ),
inference(duplicate_literal_removal,[],[f15839]) ).
fof(f15839,plain,
( e0 = e1
| e0 = e3
| e0 = e1
| e0 = op(e3,e2)
| ~ spl3_94
| ~ spl3_95
| ~ spl3_119 ),
inference(forward_demodulation,[],[f14444,f701]) ).
fof(f14444,plain,
( e0 = e3
| e0 = e1
| e0 = op(e3,e2)
| e0 = op(e0,e2)
| ~ spl3_95
| ~ spl3_119 ),
inference(forward_demodulation,[],[f13376,f706]) ).
fof(f13376,plain,
( e0 = e1
| e0 = op(e3,e2)
| e0 = op(e2,e2)
| e0 = op(e0,e2)
| ~ spl3_119 ),
inference(forward_demodulation,[],[f132,f1020]) ).
fof(f17721,plain,
( spl3_77
| spl3_3
| spl3_1
| ~ spl3_121
| ~ spl3_125
| ~ spl3_129 ),
inference(avatar_split_clause,[],[f17680,f1193,f1100,f1039,f252,f262,f627]) ).
fof(f17680,plain,
( e0 = e1
| e0 = e3
| e0 = op(e3,e3)
| ~ spl3_121
| ~ spl3_125
| ~ spl3_129 ),
inference(forward_demodulation,[],[f17019,f1102]) ).
fof(f17019,plain,
( e0 = e3
| e0 = op(e3,e3)
| e0 = op(e3,e1)
| ~ spl3_121
| ~ spl3_129 ),
inference(duplicate_literal_removal,[],[f17018]) ).
fof(f17018,plain,
( e0 = e3
| e0 = e3
| e0 = op(e3,e3)
| e0 = op(e3,e1)
| ~ spl3_121
| ~ spl3_129 ),
inference(forward_demodulation,[],[f9196,f1041]) ).
fof(f9196,plain,
( e0 = e3
| e0 = op(e3,e3)
| e0 = op(e3,e1)
| e0 = op(e3,e0)
| ~ spl3_129 ),
inference(forward_demodulation,[],[f139,f1195]) ).
fof(f17717,plain,
( ~ spl3_99
| spl3_56
| ~ spl3_75 ),
inference(avatar_split_clause,[],[f17486,f618,f526,f722]) ).
fof(f17486,plain,
( e0 != op(e0,e1)
| spl3_56
| ~ spl3_75 ),
inference(forward_demodulation,[],[f527,f619]) ).
fof(f527,plain,
( e0 != op(e0,op(e2,e0))
| spl3_56 ),
inference(avatar_component_clause,[],[f526]) ).
fof(f17715,plain,
( ~ spl3_101
| spl3_61
| ~ spl3_121 ),
inference(avatar_split_clause,[],[f16614,f1039,f549,f730]) ).
fof(f16614,plain,
( e0 != op(e0,e3)
| spl3_61
| ~ spl3_121 ),
inference(forward_demodulation,[],[f550,f1041]) ).
fof(f17659,plain,
( spl3_3
| spl3_6
| ~ spl3_87
| ~ spl3_88
| ~ spl3_92
| ~ spl3_101 ),
inference(avatar_split_clause,[],[f17625,f730,f692,f674,f670,f277,f262]) ).
fof(f17625,plain,
( e2 = e3
| e0 = e3
| ~ spl3_87
| ~ spl3_88
| ~ spl3_92
| ~ spl3_101 ),
inference(duplicate_literal_removal,[],[f17624]) ).
fof(f17624,plain,
( e2 = e3
| e2 = e3
| e0 = e3
| ~ spl3_87
| ~ spl3_88
| ~ spl3_92
| ~ spl3_101 ),
inference(forward_demodulation,[],[f15872,f671]) ).
fof(f15872,plain,
( e2 = e3
| e0 = e3
| e3 = op(e1,e3)
| ~ spl3_88
| ~ spl3_92
| ~ spl3_101 ),
inference(forward_demodulation,[],[f15805,f693]) ).
fof(f15805,plain,
( e0 = e3
| e3 = op(e3,e3)
| e3 = op(e1,e3)
| ~ spl3_88
| ~ spl3_101 ),
inference(duplicate_literal_removal,[],[f14365]) ).
fof(f14365,plain,
( e0 = e3
| e0 = e3
| e3 = op(e3,e3)
| e3 = op(e1,e3)
| ~ spl3_88
| ~ spl3_101 ),
inference(forward_demodulation,[],[f14225,f675]) ).
fof(f14225,plain,
( e0 = e3
| e3 = op(e3,e3)
| e3 = op(e2,e3)
| e3 = op(e1,e3)
| ~ spl3_101 ),
inference(forward_demodulation,[],[f146,f732]) ).
fof(f17569,plain,
( spl3_83
| spl3_5
| spl3_4
| spl3_1
| ~ spl3_87
| ~ spl3_101
| ~ spl3_127 ),
inference(avatar_split_clause,[],[f17558,f1150,f730,f670,f252,f267,f272,f653]) ).
fof(f17558,plain,
( e0 = e1
| e1 = e2
| e1 = e3
| e1 = op(e3,e3)
| ~ spl3_87
| ~ spl3_101
| ~ spl3_127 ),
inference(forward_demodulation,[],[f5975,f732]) ).
fof(f5975,plain,
( e1 = e2
| e1 = e3
| e1 = op(e3,e3)
| e1 = op(e0,e3)
| ~ spl3_87
| ~ spl3_127 ),
inference(forward_demodulation,[],[f5974,f671]) ).
fof(f5974,plain,
( e1 = e3
| e1 = op(e3,e3)
| e1 = op(e1,e3)
| e1 = op(e0,e3)
| ~ spl3_127 ),
inference(forward_demodulation,[],[f142,f1152]) ).
fof(f1152,plain,
( e3 = op(e2,e3)
| ~ spl3_127 ),
inference(avatar_component_clause,[],[f1150]) ).
fof(f17552,plain,
( spl3_84
| spl3_2
| spl3_3
| ~ spl3_82
| ~ spl3_89
| ~ spl3_110 ),
inference(avatar_split_clause,[],[f17545,f808,f679,f648,f262,f257,f657]) ).
fof(f17545,plain,
( e0 = e3
| e0 = e2
| e0 = op(e3,e1)
| ~ spl3_82
| ~ spl3_89
| ~ spl3_110 ),
inference(forward_demodulation,[],[f17544,f649]) ).
fof(f17544,plain,
( e0 = e2
| e0 = op(e3,e1)
| e0 = op(e0,e1)
| ~ spl3_89
| ~ spl3_110 ),
inference(duplicate_literal_removal,[],[f17543]) ).
fof(f17543,plain,
( e0 = e2
| e0 = e2
| e0 = op(e3,e1)
| e0 = op(e0,e1)
| ~ spl3_89
| ~ spl3_110 ),
inference(forward_demodulation,[],[f8254,f809]) ).
fof(f17542,plain,
( spl3_89
| spl3_87
| spl3_4
| spl3_6
| ~ spl3_76
| ~ spl3_119 ),
inference(avatar_split_clause,[],[f17468,f1019,f622,f277,f267,f670,f679]) ).
fof(f17468,plain,
( e2 = e3
| e1 = e2
| e2 = op(e1,e3)
| e2 = op(e1,e1)
| ~ spl3_76
| ~ spl3_119 ),
inference(forward_demodulation,[],[f17239,f623]) ).
fof(f17239,plain,
( e1 = e2
| e2 = op(e1,e3)
| e2 = op(e1,e1)
| e2 = op(e1,e0)
| ~ spl3_119 ),
inference(forward_demodulation,[],[f127,f1020]) ).
fof(f17458,plain,
( spl3_88
| spl3_77
| spl3_1
| ~ spl3_104
| ~ spl3_130 ),
inference(avatar_split_clause,[],[f15465,f1477,f744,f252,f627,f674]) ).
fof(f15465,plain,
( e0 = e1
| e0 = op(e3,e3)
| e0 = op(e2,e3)
| ~ spl3_104
| ~ spl3_130 ),
inference(duplicate_literal_removal,[],[f15464]) ).
fof(f15464,plain,
( e0 = e1
| e0 = e1
| e0 = op(e3,e3)
| e0 = op(e2,e3)
| ~ spl3_104
| ~ spl3_130 ),
inference(forward_demodulation,[],[f10744,f746]) ).
fof(f10744,plain,
( e0 = e1
| e0 = op(e3,e3)
| e0 = op(e2,e3)
| e0 = op(e0,e3)
| ~ spl3_130 ),
inference(forward_demodulation,[],[f140,f1478]) ).
fof(f17457,plain,
( spl3_6
| spl3_5
| spl3_3
| ~ spl3_77
| ~ spl3_117
| ~ spl3_125
| ~ spl3_132 ),
inference(avatar_split_clause,[],[f17373,f1487,f1100,f906,f627,f262,f272,f277]) ).
fof(f17373,plain,
( e0 = e3
| e1 = e3
| e2 = e3
| ~ spl3_77
| ~ spl3_117
| ~ spl3_125
| ~ spl3_132 ),
inference(duplicate_literal_removal,[],[f17372]) ).
fof(f17372,plain,
( e0 = e3
| e1 = e3
| e0 = e3
| e2 = e3
| ~ spl3_77
| ~ spl3_117
| ~ spl3_125
| ~ spl3_132 ),
inference(forward_demodulation,[],[f12690,f908]) ).
fof(f12690,plain,
( e1 = e3
| e0 = e3
| e2 = e3
| e3 = op(e3,e0)
| ~ spl3_77
| ~ spl3_125
| ~ spl3_132 ),
inference(forward_demodulation,[],[f12135,f1102]) ).
fof(f12135,plain,
( e0 = e3
| e2 = e3
| e3 = op(e3,e1)
| e3 = op(e3,e0)
| ~ spl3_77
| ~ spl3_132 ),
inference(forward_demodulation,[],[f7976,f628]) ).
fof(f7976,plain,
( e2 = e3
| e3 = op(e3,e3)
| e3 = op(e3,e1)
| e3 = op(e3,e0)
| ~ spl3_132 ),
inference(forward_demodulation,[],[f145,f1489]) ).
fof(f17452,plain,
( ~ spl3_103
| spl3_15
| ~ spl3_125 ),
inference(avatar_split_clause,[],[f12669,f1100,f322,f740]) ).
fof(f12669,plain,
( e1 != op(e0,e1)
| spl3_15
| ~ spl3_125 ),
inference(superposition,[],[f324,f1102]) ).
fof(f17449,plain,
( ~ spl3_100
| spl3_60
| ~ spl3_106 ),
inference(avatar_split_clause,[],[f16930,f766,f544,f726]) ).
fof(f16930,plain,
( e0 != op(e0,e2)
| spl3_60
| ~ spl3_106 ),
inference(forward_demodulation,[],[f545,f768]) ).
fof(f17341,plain,
( spl3_3
| ~ spl3_70
| ~ spl3_88
| ~ spl3_117 ),
inference(avatar_split_clause,[],[f17305,f906,f674,f594,f262]) ).
fof(f17305,plain,
( e0 = e3
| ~ spl3_70
| ~ spl3_88
| ~ spl3_117 ),
inference(forward_demodulation,[],[f2925,f908]) ).
fof(f2925,plain,
( e3 = op(e3,e0)
| ~ spl3_70
| ~ spl3_88 ),
inference(superposition,[],[f596,f675]) ).
fof(f17288,plain,
( spl3_6
| ~ spl3_87
| ~ spl3_137 ),
inference(avatar_split_clause,[],[f17287,f10132,f670,f277]) ).
fof(f17287,plain,
( e2 = e3
| ~ spl3_87
| ~ spl3_137 ),
inference(forward_demodulation,[],[f10134,f671]) ).
fof(f17280,plain,
( spl3_137
| spl3_3
| spl3_5
| ~ spl3_105
| ~ spl3_109
| ~ spl3_119 ),
inference(avatar_split_clause,[],[f17249,f1019,f799,f757,f272,f262,f10132]) ).
fof(f17249,plain,
( e1 = e3
| e0 = e3
| e3 = op(e1,e3)
| ~ spl3_105
| ~ spl3_109
| ~ spl3_119 ),
inference(duplicate_literal_removal,[],[f17248]) ).
fof(f17248,plain,
( e1 = e3
| e0 = e3
| e1 = e3
| e3 = op(e1,e3)
| ~ spl3_105
| ~ spl3_109
| ~ spl3_119 ),
inference(forward_demodulation,[],[f17010,f1020]) ).
fof(f17010,plain,
( e0 = e3
| e1 = e3
| e3 = op(e1,e3)
| e3 = op(e1,e2)
| ~ spl3_105
| ~ spl3_109 ),
inference(forward_demodulation,[],[f13654,f801]) ).
fof(f17236,plain,
( spl3_5
| spl3_6
| spl3_3
| ~ spl3_89
| ~ spl3_97
| ~ spl3_105
| ~ spl3_119 ),
inference(avatar_split_clause,[],[f17219,f1019,f757,f713,f679,f262,f277,f272]) ).
fof(f17219,plain,
( e0 = e3
| e2 = e3
| e1 = e3
| ~ spl3_89
| ~ spl3_97
| ~ spl3_105
| ~ spl3_119 ),
inference(forward_demodulation,[],[f13802,f714]) ).
fof(f13802,plain,
( e2 = e3
| e1 = e3
| e3 = op(e1,e3)
| ~ spl3_89
| ~ spl3_105
| ~ spl3_119 ),
inference(forward_demodulation,[],[f13801,f680]) ).
fof(f13801,plain,
( e1 = e3
| e3 = op(e1,e3)
| e3 = op(e1,e1)
| ~ spl3_105
| ~ spl3_119 ),
inference(duplicate_literal_removal,[],[f13800]) ).
fof(f13800,plain,
( e1 = e3
| e1 = e3
| e3 = op(e1,e3)
| e3 = op(e1,e1)
| ~ spl3_105
| ~ spl3_119 ),
inference(forward_demodulation,[],[f13654,f1020]) ).
fof(f17217,plain,
( spl3_89
| spl3_2
| spl3_4
| ~ spl3_64
| ~ spl3_97
| ~ spl3_105
| ~ spl3_131 ),
inference(avatar_split_clause,[],[f17131,f1483,f757,f713,f564,f267,f257,f679]) ).
fof(f17131,plain,
( e1 = e2
| e0 = e2
| e2 = op(e1,e1)
| ~ spl3_64
| ~ spl3_97
| ~ spl3_105
| ~ spl3_131 ),
inference(duplicate_literal_removal,[],[f17130]) ).
fof(f17130,plain,
( e1 = e2
| e0 = e2
| e1 = e2
| e2 = op(e1,e1)
| ~ spl3_64
| ~ spl3_97
| ~ spl3_105
| ~ spl3_131 ),
inference(forward_demodulation,[],[f16042,f16913]) ).
fof(f16042,plain,
( e0 = e2
| e1 = e2
| e2 = op(e1,e2)
| e2 = op(e1,e1)
| ~ spl3_97
| ~ spl3_105 ),
inference(forward_demodulation,[],[f13655,f714]) ).
fof(f13655,plain,
( e1 = e2
| e2 = op(e1,e3)
| e2 = op(e1,e2)
| e2 = op(e1,e1)
| ~ spl3_105 ),
inference(forward_demodulation,[],[f127,f759]) ).
fof(f17195,plain,
( spl3_3
| ~ spl3_97
| ~ spl3_137 ),
inference(avatar_split_clause,[],[f17167,f10132,f713,f262]) ).
fof(f17167,plain,
( e0 = e3
| ~ spl3_97
| ~ spl3_137 ),
inference(superposition,[],[f714,f10134]) ).
fof(f17188,plain,
( spl3_119
| ~ spl3_64
| ~ spl3_131 ),
inference(avatar_split_clause,[],[f16913,f1483,f564,f1019]) ).
fof(f17184,plain,
( ~ spl3_121
| spl3_73
| ~ spl3_97 ),
inference(avatar_split_clause,[],[f13482,f713,f609,f1039]) ).
fof(f13482,plain,
( e3 != op(e3,e0)
| spl3_73
| ~ spl3_97 ),
inference(forward_demodulation,[],[f610,f714]) ).
fof(f610,plain,
( e3 != op(e3,op(e1,e3))
| spl3_73 ),
inference(avatar_component_clause,[],[f609]) ).
fof(f17105,plain,
( ~ spl3_91
| spl3_21
| ~ spl3_129 ),
inference(avatar_split_clause,[],[f12566,f1193,f352,f687]) ).
fof(f352,plain,
( spl3_21
<=> op(e0,e2) = op(e3,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_21])]) ).
fof(f12566,plain,
( e3 != op(e0,e2)
| spl3_21
| ~ spl3_129 ),
inference(superposition,[],[f354,f1195]) ).
fof(f354,plain,
( op(e0,e2) != op(e3,e2)
| spl3_21 ),
inference(avatar_component_clause,[],[f352]) ).
fof(f17100,plain,
( spl3_87
| spl3_2
| spl3_4
| ~ spl3_90
| ~ spl3_105
| ~ spl3_109 ),
inference(avatar_split_clause,[],[f17027,f799,f757,f683,f267,f257,f670]) ).
fof(f17027,plain,
( e1 = e2
| e0 = e2
| e2 = op(e1,e3)
| ~ spl3_90
| ~ spl3_105
| ~ spl3_109 ),
inference(forward_demodulation,[],[f17026,f759]) ).
fof(f17026,plain,
( e0 = e2
| e2 = op(e1,e3)
| e2 = op(e1,e0)
| ~ spl3_90
| ~ spl3_109 ),
inference(duplicate_literal_removal,[],[f17025]) ).
fof(f17025,plain,
( e0 = e2
| e0 = e2
| e2 = op(e1,e3)
| e2 = op(e1,e0)
| ~ spl3_90
| ~ spl3_109 ),
inference(forward_demodulation,[],[f16251,f801]) ).
fof(f17091,plain,
( spl3_137
| spl3_6
| spl3_3
| ~ spl3_92
| ~ spl3_101
| ~ spl3_136 ),
inference(avatar_split_clause,[],[f17022,f3629,f730,f692,f262,f277,f10132]) ).
fof(f17022,plain,
( e0 = e3
| e2 = e3
| e3 = op(e1,e3)
| ~ spl3_92
| ~ spl3_101
| ~ spl3_136 ),
inference(forward_demodulation,[],[f17021,f732]) ).
fof(f17000,plain,
( spl3_87
| spl3_2
| spl3_4
| ~ spl3_105
| ~ spl3_109
| ~ spl3_119 ),
inference(avatar_split_clause,[],[f16990,f1019,f799,f757,f267,f257,f670]) ).
fof(f16990,plain,
( e1 = e2
| e0 = e2
| e2 = op(e1,e3)
| ~ spl3_105
| ~ spl3_109
| ~ spl3_119 ),
inference(duplicate_literal_removal,[],[f16989]) ).
fof(f16989,plain,
( e1 = e2
| e0 = e2
| e1 = e2
| e2 = op(e1,e3)
| ~ spl3_105
| ~ spl3_109
| ~ spl3_119 ),
inference(forward_demodulation,[],[f13933,f759]) ).
fof(f13933,plain,
( e0 = e2
| e1 = e2
| e2 = op(e1,e3)
| e2 = op(e1,e0)
| ~ spl3_109
| ~ spl3_119 ),
inference(forward_demodulation,[],[f13252,f801]) ).
fof(f13252,plain,
( e1 = e2
| e2 = op(e1,e3)
| e2 = op(e1,e1)
| e2 = op(e1,e0)
| ~ spl3_119 ),
inference(forward_demodulation,[],[f127,f1020]) ).
fof(f16988,plain,
( spl3_109
| spl3_97
| spl3_1
| ~ spl3_105
| ~ spl3_119 ),
inference(avatar_split_clause,[],[f13778,f1019,f757,f252,f713,f799]) ).
fof(f13778,plain,
( e0 = e1
| e0 = op(e1,e3)
| e0 = op(e1,e1)
| ~ spl3_105
| ~ spl3_119 ),
inference(duplicate_literal_removal,[],[f10449]) ).
fof(f10449,plain,
( e0 = e1
| e0 = e1
| e0 = op(e1,e3)
| e0 = op(e1,e1)
| ~ spl3_105
| ~ spl3_119 ),
inference(forward_demodulation,[],[f9509,f1020]) ).
fof(f9509,plain,
( e0 = e1
| e0 = op(e1,e3)
| e0 = op(e1,e2)
| e0 = op(e1,e1)
| ~ spl3_105 ),
inference(forward_demodulation,[],[f123,f759]) ).
fof(f16985,plain,
( spl3_130
| ~ spl3_62
| ~ spl3_115 ),
inference(avatar_split_clause,[],[f16927,f896,f554,f1477]) ).
fof(f16927,plain,
( e1 = op(e1,e3)
| ~ spl3_62
| ~ spl3_115 ),
inference(forward_demodulation,[],[f556,f897]) ).
fof(f16955,plain,
( spl3_6
| ~ spl3_70
| ~ spl3_96
| ~ spl3_131 ),
inference(avatar_split_clause,[],[f16905,f1483,f709,f594,f277]) ).
fof(f16905,plain,
( e2 = e3
| ~ spl3_70
| ~ spl3_96
| ~ spl3_131 ),
inference(forward_demodulation,[],[f16469,f1485]) ).
fof(f16469,plain,
( e3 = op(e3,e1)
| ~ spl3_70
| ~ spl3_96 ),
inference(superposition,[],[f596,f710]) ).
fof(f16866,plain,
( ~ spl3_82
| spl3_14
| ~ spl3_115 ),
inference(avatar_split_clause,[],[f12545,f896,f317,f648]) ).
fof(f12545,plain,
( e3 != op(e0,e1)
| spl3_14
| ~ spl3_115 ),
inference(superposition,[],[f319,f897]) ).
fof(f16865,plain,
( ~ spl3_84
| ~ spl3_80
| ~ spl3_115 ),
inference(avatar_split_clause,[],[f16842,f896,f640,f657]) ).
fof(f16842,plain,
( e0 != op(e3,e1)
| ~ spl3_80
| ~ spl3_115 ),
inference(trivial_inequality_removal,[],[f16841]) ).
fof(f16841,plain,
( e1 != e1
| e0 != op(e3,e1)
| ~ spl3_80
| ~ spl3_115 ),
inference(forward_demodulation,[],[f16840,f641]) ).
fof(f16840,plain,
( e0 != op(e3,e1)
| e1 != op(e2,e2)
| ~ spl3_115 ),
inference(trivial_inequality_removal,[],[f16839]) ).
fof(f16839,plain,
( e3 != e3
| e0 != op(e3,e1)
| e1 != op(e2,e2)
| ~ spl3_115 ),
inference(forward_demodulation,[],[f226,f897]) ).
fof(f226,plain,
( e0 != op(e3,e1)
| e3 != op(e2,e1)
| e1 != op(e2,e2) ),
inference(inner_rewriting,[],[f225]) ).
fof(f225,plain,
( e0 != op(e3,op(e2,e2))
| e3 != op(e2,op(e2,e2))
| e1 != op(e2,e2) ),
inference(inner_rewriting,[],[f190]) ).
fof(f190,plain,
( e0 != op(op(e2,op(e2,e2)),op(e2,e2))
| e3 != op(e2,op(e2,e2))
| e1 != op(e2,e2) ),
inference(cnf_transformation,[],[f41]) ).
fof(f41,plain,
( e0 != op(op(e2,op(e2,e2)),op(e2,e2))
| e3 != op(e2,op(e2,e2))
| e1 != op(e2,e2) ),
inference(ennf_transformation,[],[f17]) ).
fof(f17,axiom,
~ ( e0 = op(op(e2,op(e2,e2)),op(e2,e2))
& e3 = op(e2,op(e2,e2))
& e1 = op(e2,e2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax17) ).
fof(f16836,plain,
( spl3_110
| ~ spl3_65
| ~ spl3_69
| ~ spl3_89 ),
inference(avatar_split_clause,[],[f8348,f679,f589,f569,f808]) ).
fof(f8348,plain,
( e2 = op(e2,e1)
| ~ spl3_65
| ~ spl3_69
| ~ spl3_89 ),
inference(forward_demodulation,[],[f591,f8175]) ).
fof(f16825,plain,
( spl3_89
| spl3_6
| spl3_4
| ~ spl3_82
| ~ spl3_115
| ~ spl3_125 ),
inference(avatar_split_clause,[],[f16759,f1100,f896,f648,f267,f277,f679]) ).
fof(f16759,plain,
( e1 = e2
| e2 = e3
| e2 = op(e1,e1)
| ~ spl3_82
| ~ spl3_115
| ~ spl3_125 ),
inference(forward_demodulation,[],[f16436,f1102]) ).
fof(f16436,plain,
( e2 = e3
| e2 = op(e3,e1)
| e2 = op(e1,e1)
| ~ spl3_82
| ~ spl3_115 ),
inference(duplicate_literal_removal,[],[f16435]) ).
fof(f16435,plain,
( e2 = e3
| e2 = e3
| e2 = op(e3,e1)
| e2 = op(e1,e1)
| ~ spl3_82
| ~ spl3_115 ),
inference(forward_demodulation,[],[f3933,f897]) ).
fof(f3933,plain,
( e2 = e3
| e2 = op(e3,e1)
| e2 = op(e2,e1)
| e2 = op(e1,e1)
| ~ spl3_82 ),
inference(forward_demodulation,[],[f128,f649]) ).
fof(f16822,plain,
( spl3_99
| ~ spl3_56
| ~ spl3_75 ),
inference(avatar_split_clause,[],[f16184,f618,f526,f722]) ).
fof(f16184,plain,
( e0 = op(e0,e1)
| ~ spl3_56
| ~ spl3_75 ),
inference(forward_demodulation,[],[f528,f619]) ).
fof(f16783,plain,
( spl3_6
| ~ spl3_70
| ~ spl3_132
| ~ spl3_136 ),
inference(avatar_split_clause,[],[f16776,f3629,f1487,f594,f277]) ).
fof(f16776,plain,
( e2 = e3
| ~ spl3_70
| ~ spl3_132
| ~ spl3_136 ),
inference(forward_demodulation,[],[f12592,f1489]) ).
fof(f12592,plain,
( e3 = op(e3,e2)
| ~ spl3_70
| ~ spl3_136 ),
inference(superposition,[],[f596,f3630]) ).
fof(f16742,plain,
( spl3_105
| spl3_123
| spl3_5
| spl3_1
| ~ spl3_97
| ~ spl3_128 ),
inference(avatar_split_clause,[],[f8100,f1189,f713,f252,f272,f1092,f757]) ).
fof(f8100,plain,
( e0 = e1
| e1 = e3
| e1 = op(e1,e1)
| e1 = op(e1,e0)
| ~ spl3_97
| ~ spl3_128 ),
inference(forward_demodulation,[],[f2144,f714]) ).
fof(f2144,plain,
( e1 = e3
| e1 = op(e1,e3)
| e1 = op(e1,e1)
| e1 = op(e1,e0)
| ~ spl3_128 ),
inference(forward_demodulation,[],[f125,f1191]) ).
fof(f16736,plain,
( spl3_133
| spl3_4
| spl3_2
| spl3_6
| ~ spl3_100
| ~ spl3_128
| ~ spl3_134 ),
inference(avatar_split_clause,[],[f16666,f2369,f1189,f726,f277,f257,f267,f2279]) ).
fof(f16666,plain,
( e2 = e3
| e0 = e2
| e1 = e2
| e2 = op(e2,e2)
| ~ spl3_100
| ~ spl3_128
| ~ spl3_134 ),
inference(forward_demodulation,[],[f13635,f1191]) ).
fof(f13635,plain,
( e0 = e2
| e1 = e2
| e2 = op(e2,e2)
| e2 = op(e1,e2)
| ~ spl3_100
| ~ spl3_134 ),
inference(forward_demodulation,[],[f11571,f728]) ).
fof(f11571,plain,
( e1 = e2
| e2 = op(e2,e2)
| e2 = op(e1,e2)
| e2 = op(e0,e2)
| ~ spl3_134 ),
inference(forward_demodulation,[],[f136,f2371]) ).
fof(f16708,plain,
( spl3_83
| spl3_1
| spl3_4
| spl3_5
| ~ spl3_97
| ~ spl3_114
| ~ spl3_136 ),
inference(avatar_split_clause,[],[f16645,f3629,f839,f713,f272,f267,f252,f653]) ).
fof(f839,plain,
( spl3_114
<=> e3 = op(e0,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_114])]) ).
fof(f16645,plain,
( e1 = e3
| e1 = e2
| e0 = e1
| e1 = op(e3,e3)
| ~ spl3_97
| ~ spl3_114
| ~ spl3_136 ),
inference(forward_demodulation,[],[f16538,f841]) ).
fof(f841,plain,
( e3 = op(e0,e3)
| ~ spl3_114 ),
inference(avatar_component_clause,[],[f839]) ).
fof(f16538,plain,
( e1 = e2
| e0 = e1
| e1 = op(e3,e3)
| e1 = op(e0,e3)
| ~ spl3_97
| ~ spl3_136 ),
inference(forward_demodulation,[],[f4850,f3630]) ).
fof(f4850,plain,
( e0 = e1
| e1 = op(e3,e3)
| e1 = op(e2,e3)
| e1 = op(e0,e3)
| ~ spl3_97 ),
inference(forward_demodulation,[],[f142,f714]) ).
fof(f16687,plain,
( ~ spl3_115
| spl3_18
| ~ spl3_126 ),
inference(avatar_split_clause,[],[f12232,f1126,f337,f896]) ).
fof(f337,plain,
( spl3_18
<=> op(e2,e1) = op(e3,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_18])]) ).
fof(f12232,plain,
( e3 != op(e2,e1)
| spl3_18
| ~ spl3_126 ),
inference(superposition,[],[f339,f1128]) ).
fof(f339,plain,
( op(e2,e1) != op(e3,e1)
| spl3_18 ),
inference(avatar_component_clause,[],[f337]) ).
fof(f16665,plain,
( spl3_134
| spl3_83
| spl3_5
| ~ spl3_121
| ~ spl3_126 ),
inference(avatar_split_clause,[],[f9504,f1126,f1039,f272,f653,f2369]) ).
fof(f9504,plain,
( e1 = e3
| e1 = op(e3,e3)
| e1 = op(e3,e2)
| ~ spl3_121
| ~ spl3_126 ),
inference(duplicate_literal_removal,[],[f9503]) ).
fof(f9503,plain,
( e1 = e3
| e1 = e3
| e1 = op(e3,e3)
| e1 = op(e3,e2)
| ~ spl3_121
| ~ spl3_126 ),
inference(forward_demodulation,[],[f9502,f1041]) ).
fof(f9502,plain,
( e1 = e3
| e1 = op(e3,e3)
| e1 = op(e3,e2)
| e1 = op(e3,e0)
| ~ spl3_126 ),
inference(forward_demodulation,[],[f141,f1128]) ).
fof(f16637,plain,
( spl3_84
| spl3_1
| spl3_3
| ~ spl3_82
| ~ spl3_115
| ~ spl3_123 ),
inference(avatar_split_clause,[],[f16432,f1092,f896,f648,f262,f252,f657]) ).
fof(f16432,plain,
( e0 = e3
| e0 = e1
| e0 = op(e3,e1)
| ~ spl3_82
| ~ spl3_115
| ~ spl3_123 ),
inference(duplicate_literal_removal,[],[f16431]) ).
fof(f16431,plain,
( e0 = e3
| e0 = e3
| e0 = e1
| e0 = op(e3,e1)
| ~ spl3_82
| ~ spl3_115
| ~ spl3_123 ),
inference(forward_demodulation,[],[f15836,f897]) ).
fof(f15836,plain,
( e0 = e3
| e0 = e1
| e0 = op(e3,e1)
| e0 = op(e2,e1)
| ~ spl3_82
| ~ spl3_123 ),
inference(forward_demodulation,[],[f5015,f649]) ).
fof(f16635,plain,
( ~ spl3_101
| spl3_61
| ~ spl3_121 ),
inference(avatar_split_clause,[],[f16614,f1039,f549,f730]) ).
fof(f16628,plain,
( spl3_5
| spl3_6
| spl3_3
| ~ spl3_92
| ~ spl3_97
| ~ spl3_104
| ~ spl3_136 ),
inference(avatar_split_clause,[],[f16608,f3629,f744,f713,f692,f262,f277,f272]) ).
fof(f16608,plain,
( e0 = e3
| e2 = e3
| e1 = e3
| ~ spl3_92
| ~ spl3_97
| ~ spl3_104
| ~ spl3_136 ),
inference(forward_demodulation,[],[f16607,f714]) ).
fof(f16607,plain,
( e2 = e3
| e1 = e3
| e3 = op(e1,e3)
| ~ spl3_92
| ~ spl3_104
| ~ spl3_136 ),
inference(duplicate_literal_removal,[],[f16606]) ).
fof(f16606,plain,
( e2 = e3
| e2 = e3
| e1 = e3
| e3 = op(e1,e3)
| ~ spl3_92
| ~ spl3_104
| ~ spl3_136 ),
inference(forward_demodulation,[],[f16605,f3630]) ).
fof(f16605,plain,
( e2 = e3
| e1 = e3
| e3 = op(e2,e3)
| e3 = op(e1,e3)
| ~ spl3_92
| ~ spl3_104 ),
inference(forward_demodulation,[],[f16258,f693]) ).
fof(f16258,plain,
( e1 = e3
| e3 = op(e3,e3)
| e3 = op(e2,e3)
| e3 = op(e1,e3)
| ~ spl3_104 ),
inference(forward_demodulation,[],[f146,f746]) ).
fof(f16626,plain,
( spl3_77
| spl3_3
| ~ spl3_70
| ~ spl3_121
| ~ spl3_126
| ~ spl3_136 ),
inference(avatar_split_clause,[],[f16517,f3629,f1126,f1039,f594,f262,f627]) ).
fof(f16517,plain,
( e0 = e3
| e0 = op(e3,e3)
| ~ spl3_70
| ~ spl3_121
| ~ spl3_126
| ~ spl3_136 ),
inference(duplicate_literal_removal,[],[f16516]) ).
fof(f16516,plain,
( e0 = e3
| e0 = e3
| e0 = op(e3,e3)
| ~ spl3_70
| ~ spl3_121
| ~ spl3_126
| ~ spl3_136 ),
inference(forward_demodulation,[],[f16515,f1041]) ).
fof(f16515,plain,
( e0 = e3
| e0 = op(e3,e3)
| e0 = op(e3,e0)
| ~ spl3_70
| ~ spl3_126
| ~ spl3_136 ),
inference(duplicate_literal_removal,[],[f16514]) ).
fof(f16514,plain,
( e0 = e3
| e0 = e3
| e0 = op(e3,e3)
| e0 = op(e3,e0)
| ~ spl3_70
| ~ spl3_126
| ~ spl3_136 ),
inference(forward_demodulation,[],[f12595,f1128]) ).
fof(f12595,plain,
( e0 = e3
| e0 = op(e3,e3)
| e0 = op(e3,e1)
| e0 = op(e3,e0)
| ~ spl3_70
| ~ spl3_136 ),
inference(forward_demodulation,[],[f139,f12592]) ).
fof(f16600,plain,
( ~ spl3_128
| ~ spl3_94
| ~ spl3_106 ),
inference(avatar_split_clause,[],[f16542,f766,f700,f1189]) ).
fof(f16542,plain,
( e3 != op(e1,e2)
| ~ spl3_94
| ~ spl3_106 ),
inference(trivial_inequality_removal,[],[f16541]) ).
fof(f16541,plain,
( e2 != e2
| e3 != op(e1,e2)
| ~ spl3_94
| ~ spl3_106 ),
inference(forward_demodulation,[],[f15534,f768]) ).
fof(f15534,plain,
( e3 != op(e1,e2)
| op(e0,e0) != e2
| ~ spl3_94 ),
inference(trivial_inequality_removal,[],[f999]) ).
fof(f999,plain,
( e1 != e1
| e3 != op(e1,e2)
| op(e0,e0) != e2
| ~ spl3_94 ),
inference(forward_demodulation,[],[f242,f701]) ).
fof(f242,plain,
( e3 != op(e1,e2)
| e1 != op(e0,e2)
| op(e0,e0) != e2 ),
inference(inner_rewriting,[],[f241]) ).
fof(f241,plain,
( e3 != op(e1,op(e0,e0))
| e1 != op(e0,op(e0,e0))
| op(e0,e0) != e2 ),
inference(inner_rewriting,[],[f198]) ).
fof(f198,plain,
( e3 != op(op(e0,op(e0,e0)),op(e0,e0))
| e1 != op(e0,op(e0,e0))
| op(e0,e0) != e2 ),
inference(cnf_transformation,[],[f49]) ).
fof(f49,plain,
( e3 != op(op(e0,op(e0,e0)),op(e0,e0))
| e1 != op(e0,op(e0,e0))
| op(e0,e0) != e2 ),
inference(ennf_transformation,[],[f20]) ).
fof(f20,axiom,
~ ( e3 = op(op(e0,op(e0,e0)),op(e0,e0))
& e1 = op(e0,op(e0,e0))
& op(e0,e0) = e2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax20) ).
fof(f16593,plain,
( spl3_6
| ~ spl3_110
| ~ spl3_115 ),
inference(avatar_split_clause,[],[f16575,f896,f808,f277]) ).
fof(f16575,plain,
( e2 = e3
| ~ spl3_110
| ~ spl3_115 ),
inference(superposition,[],[f809,f897]) ).
fof(f16591,plain,
( ~ spl3_100
| spl3_60
| ~ spl3_106 ),
inference(avatar_split_clause,[],[f15726,f766,f544,f726]) ).
fof(f15726,plain,
( e0 != op(e0,e2)
| spl3_60
| ~ spl3_106 ),
inference(forward_demodulation,[],[f545,f768]) ).
fof(f16496,plain,
( spl3_5
| spl3_6
| ~ spl3_62
| ~ spl3_92
| ~ spl3_96
| ~ spl3_108
| ~ spl3_115 ),
inference(avatar_split_clause,[],[f16424,f896,f774,f709,f692,f554,f277,f272]) ).
fof(f16424,plain,
( e2 = e3
| e1 = e3
| ~ spl3_62
| ~ spl3_92
| ~ spl3_96
| ~ spl3_108
| ~ spl3_115 ),
inference(duplicate_literal_removal,[],[f16423]) ).
fof(f16423,plain,
( e2 = e3
| e1 = e3
| e2 = e3
| ~ spl3_62
| ~ spl3_92
| ~ spl3_96
| ~ spl3_108
| ~ spl3_115 ),
inference(forward_demodulation,[],[f16422,f776]) ).
fof(f16422,plain,
( e1 = e3
| e2 = e3
| e3 = op(e0,e3)
| ~ spl3_62
| ~ spl3_92
| ~ spl3_96
| ~ spl3_115 ),
inference(duplicate_literal_removal,[],[f16421]) ).
fof(f16421,plain,
( e1 = e3
| e2 = e3
| e1 = e3
| e3 = op(e0,e3)
| ~ spl3_62
| ~ spl3_92
| ~ spl3_96
| ~ spl3_115 ),
inference(forward_demodulation,[],[f10093,f1865]) ).
fof(f1865,plain,
( e1 = op(e1,e3)
| ~ spl3_62
| ~ spl3_115 ),
inference(superposition,[],[f556,f897]) ).
fof(f10093,plain,
( e2 = e3
| e1 = e3
| e3 = op(e1,e3)
| e3 = op(e0,e3)
| ~ spl3_92
| ~ spl3_96 ),
inference(forward_demodulation,[],[f4776,f693]) ).
fof(f4776,plain,
( e1 = e3
| e3 = op(e3,e3)
| e3 = op(e1,e3)
| e3 = op(e0,e3)
| ~ spl3_96 ),
inference(forward_demodulation,[],[f146,f710]) ).
fof(f16491,plain,
( spl3_100
| ~ spl3_56
| ~ spl3_111 ),
inference(avatar_split_clause,[],[f7512,f813,f526,f726]) ).
fof(f7512,plain,
( e0 = op(e0,e2)
| ~ spl3_56
| ~ spl3_111 ),
inference(forward_demodulation,[],[f528,f815]) ).
fof(f16376,plain,
( spl3_127
| spl3_6
| spl3_5
| ~ spl3_62
| ~ spl3_92
| ~ spl3_104
| ~ spl3_115 ),
inference(avatar_split_clause,[],[f16286,f896,f744,f692,f554,f272,f277,f1150]) ).
fof(f16286,plain,
( e1 = e3
| e2 = e3
| e3 = op(e2,e3)
| ~ spl3_62
| ~ spl3_92
| ~ spl3_104
| ~ spl3_115 ),
inference(duplicate_literal_removal,[],[f16285]) ).
fof(f16285,plain,
( e1 = e3
| e1 = e3
| e2 = e3
| e3 = op(e2,e3)
| ~ spl3_62
| ~ spl3_92
| ~ spl3_104
| ~ spl3_115 ),
inference(forward_demodulation,[],[f16284,f746]) ).
fof(f16284,plain,
( e1 = e3
| e2 = e3
| e3 = op(e2,e3)
| e3 = op(e0,e3)
| ~ spl3_62
| ~ spl3_92
| ~ spl3_115 ),
inference(forward_demodulation,[],[f15961,f1865]) ).
fof(f15961,plain,
( e2 = e3
| e3 = op(e2,e3)
| e3 = op(e1,e3)
| e3 = op(e0,e3)
| ~ spl3_92 ),
inference(forward_demodulation,[],[f146,f693]) ).
fof(f16359,plain,
( spl3_2
| spl3_4
| ~ spl3_62
| ~ spl3_115
| ~ spl3_118
| ~ spl3_119
| ~ spl3_123 ),
inference(avatar_split_clause,[],[f16349,f1092,f1019,f950,f896,f554,f267,f257]) ).
fof(f16349,plain,
( e1 = e2
| e0 = e2
| ~ spl3_62
| ~ spl3_115
| ~ spl3_118
| ~ spl3_119
| ~ spl3_123 ),
inference(duplicate_literal_removal,[],[f16348]) ).
fof(f16348,plain,
( e1 = e2
| e1 = e2
| e0 = e2
| ~ spl3_62
| ~ spl3_115
| ~ spl3_118
| ~ spl3_119
| ~ spl3_123 ),
inference(forward_demodulation,[],[f16347,f1094]) ).
fof(f16347,plain,
( e1 = e2
| e0 = e2
| e2 = op(e1,e1)
| ~ spl3_62
| ~ spl3_115
| ~ spl3_118
| ~ spl3_119 ),
inference(duplicate_literal_removal,[],[f16346]) ).
fof(f16346,plain,
( e1 = e2
| e1 = e2
| e0 = e2
| e2 = op(e1,e1)
| ~ spl3_62
| ~ spl3_115
| ~ spl3_118
| ~ spl3_119 ),
inference(forward_demodulation,[],[f16345,f1020]) ).
fof(f16345,plain,
( e1 = e2
| e0 = e2
| e2 = op(e1,e2)
| e2 = op(e1,e1)
| ~ spl3_62
| ~ spl3_115
| ~ spl3_118 ),
inference(forward_demodulation,[],[f1002,f1865]) ).
fof(f16323,plain,
( spl3_79
| spl3_4
| spl3_2
| ~ spl3_62
| ~ spl3_90
| ~ spl3_115
| ~ spl3_123 ),
inference(avatar_split_clause,[],[f16269,f1092,f896,f683,f554,f257,f267,f635]) ).
fof(f16269,plain,
( e0 = e2
| e1 = e2
| e2 = op(e1,e0)
| ~ spl3_62
| ~ spl3_90
| ~ spl3_115
| ~ spl3_123 ),
inference(forward_demodulation,[],[f6198,f684]) ).
fof(f6198,plain,
( e1 = e2
| e2 = op(e1,e2)
| e2 = op(e1,e0)
| ~ spl3_62
| ~ spl3_115
| ~ spl3_123 ),
inference(duplicate_literal_removal,[],[f5793]) ).
fof(f5793,plain,
( e1 = e2
| e1 = e2
| e2 = op(e1,e2)
| e2 = op(e1,e0)
| ~ spl3_62
| ~ spl3_115
| ~ spl3_123 ),
inference(forward_demodulation,[],[f2784,f1094]) ).
fof(f2784,plain,
( e1 = e2
| e2 = op(e1,e2)
| e2 = op(e1,e1)
| e2 = op(e1,e0)
| ~ spl3_62
| ~ spl3_115 ),
inference(forward_demodulation,[],[f127,f1865]) ).
fof(f16243,plain,
( spl3_83
| spl3_1
| spl3_4
| spl3_5
| ~ spl3_117
| ~ spl3_126
| ~ spl3_132 ),
inference(avatar_split_clause,[],[f16172,f1487,f1126,f906,f272,f267,f252,f653]) ).
fof(f16172,plain,
( e1 = e3
| e1 = e2
| e0 = e1
| e1 = op(e3,e3)
| ~ spl3_117
| ~ spl3_126
| ~ spl3_132 ),
inference(forward_demodulation,[],[f16171,f1128]) ).
fof(f16171,plain,
( e1 = e2
| e0 = e1
| e1 = op(e3,e3)
| e1 = op(e3,e1)
| ~ spl3_117
| ~ spl3_132 ),
inference(forward_demodulation,[],[f14224,f1489]) ).
fof(f14224,plain,
( e0 = e1
| e1 = op(e3,e3)
| e1 = op(e3,e2)
| e1 = op(e3,e1)
| ~ spl3_117 ),
inference(forward_demodulation,[],[f141,f908]) ).
fof(f16235,plain,
( ~ spl3_133
| spl3_24
| ~ spl3_132 ),
inference(avatar_split_clause,[],[f12636,f1487,f367,f2279]) ).
fof(f367,plain,
( spl3_24
<=> op(e2,e2) = op(e3,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_24])]) ).
fof(f12636,plain,
( e2 != op(e2,e2)
| spl3_24
| ~ spl3_132 ),
inference(superposition,[],[f369,f1489]) ).
fof(f369,plain,
( op(e2,e2) != op(e3,e2)
| spl3_24 ),
inference(avatar_component_clause,[],[f367]) ).
fof(f16139,plain,
( spl3_117
| spl3_1
| spl3_2
| ~ spl3_105
| ~ spl3_106
| ~ spl3_111 ),
inference(avatar_split_clause,[],[f16041,f813,f766,f757,f257,f252,f906]) ).
fof(f16041,plain,
( e0 = e2
| e0 = e1
| e0 = op(e3,e0)
| ~ spl3_105
| ~ spl3_106
| ~ spl3_111 ),
inference(duplicate_literal_removal,[],[f16040]) ).
fof(f16040,plain,
( e0 = e2
| e0 = e2
| e0 = e1
| e0 = op(e3,e0)
| ~ spl3_105
| ~ spl3_106
| ~ spl3_111 ),
inference(forward_demodulation,[],[f16039,f768]) ).
fof(f16102,plain,
( spl3_3
| spl3_5
| ~ spl3_90
| ~ spl3_97
| ~ spl3_105
| ~ spl3_123 ),
inference(avatar_split_clause,[],[f16045,f1092,f757,f713,f683,f272,f262]) ).
fof(f16045,plain,
( e1 = e3
| e0 = e3
| ~ spl3_90
| ~ spl3_97
| ~ spl3_105
| ~ spl3_123 ),
inference(duplicate_literal_removal,[],[f16044]) ).
fof(f16044,plain,
( e1 = e3
| e1 = e3
| e0 = e3
| ~ spl3_90
| ~ spl3_97
| ~ spl3_105
| ~ spl3_123 ),
inference(forward_demodulation,[],[f16043,f759]) ).
fof(f16043,plain,
( e1 = e3
| e0 = e3
| e3 = op(e1,e0)
| ~ spl3_90
| ~ spl3_97
| ~ spl3_123 ),
inference(forward_demodulation,[],[f11552,f1094]) ).
fof(f11552,plain,
( e0 = e3
| e3 = op(e1,e1)
| e3 = op(e1,e0)
| ~ spl3_90
| ~ spl3_97 ),
inference(duplicate_literal_removal,[],[f9587]) ).
fof(f9587,plain,
( e0 = e3
| e0 = e3
| e3 = op(e1,e1)
| e3 = op(e1,e0)
| ~ spl3_90
| ~ spl3_97 ),
inference(forward_demodulation,[],[f2518,f714]) ).
fof(f2518,plain,
( e0 = e3
| e3 = op(e1,e3)
| e3 = op(e1,e1)
| e3 = op(e1,e0)
| ~ spl3_90 ),
inference(forward_demodulation,[],[f129,f684]) ).
fof(f16006,plain,
( spl3_79
| spl3_2
| spl3_4
| ~ spl3_97
| ~ spl3_119
| ~ spl3_123 ),
inference(avatar_split_clause,[],[f15851,f1092,f1019,f713,f267,f257,f635]) ).
fof(f15851,plain,
( e1 = e2
| e0 = e2
| e2 = op(e1,e0)
| ~ spl3_97
| ~ spl3_119
| ~ spl3_123 ),
inference(duplicate_literal_removal,[],[f15850]) ).
fof(f15850,plain,
( e1 = e2
| e1 = e2
| e0 = e2
| e2 = op(e1,e0)
| ~ spl3_97
| ~ spl3_119
| ~ spl3_123 ),
inference(forward_demodulation,[],[f13525,f1094]) ).
fof(f13525,plain,
( e1 = e2
| e0 = e2
| e2 = op(e1,e1)
| e2 = op(e1,e0)
| ~ spl3_97
| ~ spl3_119 ),
inference(forward_demodulation,[],[f1220,f1020]) ).
fof(f1220,plain,
( e0 = e2
| e2 = op(e1,e2)
| e2 = op(e1,e1)
| e2 = op(e1,e0)
| ~ spl3_97 ),
inference(forward_demodulation,[],[f127,f714]) ).
fof(f16002,plain,
( ~ spl3_100
| spl3_60
| ~ spl3_106 ),
inference(avatar_split_clause,[],[f15726,f766,f544,f726]) ).
fof(f15942,plain,
( spl3_6
| spl3_3
| ~ spl3_88
| ~ spl3_92
| ~ spl3_97
| ~ spl3_101 ),
inference(avatar_split_clause,[],[f15870,f730,f713,f692,f674,f262,f277]) ).
fof(f15870,plain,
( e0 = e3
| e2 = e3
| ~ spl3_88
| ~ spl3_92
| ~ spl3_97
| ~ spl3_101 ),
inference(duplicate_literal_removal,[],[f15869]) ).
fof(f15869,plain,
( e0 = e3
| e2 = e3
| e0 = e3
| ~ spl3_88
| ~ spl3_92
| ~ spl3_97
| ~ spl3_101 ),
inference(forward_demodulation,[],[f15868,f714]) ).
fof(f15868,plain,
( e2 = e3
| e0 = e3
| e3 = op(e1,e3)
| ~ spl3_88
| ~ spl3_92
| ~ spl3_101 ),
inference(forward_demodulation,[],[f15529,f693]) ).
fof(f15529,plain,
( e0 = e3
| e3 = op(e3,e3)
| e3 = op(e1,e3)
| ~ spl3_88
| ~ spl3_101 ),
inference(duplicate_literal_removal,[],[f14365]) ).
fof(f15937,plain,
( ~ spl3_119
| spl3_62
| ~ spl3_110 ),
inference(avatar_split_clause,[],[f11999,f808,f554,f1019]) ).
fof(f11999,plain,
( e1 != op(e1,e2)
| spl3_62
| ~ spl3_110 ),
inference(forward_demodulation,[],[f555,f809]) ).
fof(f15926,plain,
( spl3_110
| ~ spl3_69
| ~ spl3_119 ),
inference(avatar_split_clause,[],[f13676,f1019,f589,f808]) ).
fof(f13676,plain,
( e2 = op(e2,e1)
| ~ spl3_69
| ~ spl3_119 ),
inference(forward_demodulation,[],[f591,f1020]) ).
fof(f15800,plain,
( spl3_93
| spl3_3
| spl3_1
| ~ spl3_94
| ~ spl3_95
| ~ spl3_128 ),
inference(avatar_split_clause,[],[f15669,f1189,f705,f700,f252,f262,f696]) ).
fof(f15669,plain,
( e0 = e1
| e0 = e3
| e0 = op(e3,e2)
| ~ spl3_94
| ~ spl3_95
| ~ spl3_128 ),
inference(forward_demodulation,[],[f15158,f701]) ).
fof(f15158,plain,
( e0 = e3
| e0 = op(e3,e2)
| e0 = op(e0,e2)
| ~ spl3_95
| ~ spl3_128 ),
inference(duplicate_literal_removal,[],[f15157]) ).
fof(f15157,plain,
( e0 = e3
| e0 = e3
| e0 = op(e3,e2)
| e0 = op(e0,e2)
| ~ spl3_95
| ~ spl3_128 ),
inference(forward_demodulation,[],[f11004,f706]) ).
fof(f11004,plain,
( e0 = e3
| e0 = op(e3,e2)
| e0 = op(e2,e2)
| e0 = op(e0,e2)
| ~ spl3_128 ),
inference(forward_demodulation,[],[f132,f1191]) ).
fof(f15779,plain,
( spl3_6
| spl3_5
| spl3_3
| ~ spl3_66
| ~ spl3_77
| ~ spl3_95
| ~ spl3_101
| ~ spl3_130 ),
inference(avatar_split_clause,[],[f15730,f1477,f730,f705,f627,f574,f262,f272,f277]) ).
fof(f15730,plain,
( e0 = e3
| e1 = e3
| e2 = e3
| ~ spl3_66
| ~ spl3_77
| ~ spl3_95
| ~ spl3_101
| ~ spl3_130 ),
inference(duplicate_literal_removal,[],[f15729]) ).
fof(f15729,plain,
( e0 = e3
| e1 = e3
| e2 = e3
| e0 = e3
| ~ spl3_66
| ~ spl3_77
| ~ spl3_95
| ~ spl3_101
| ~ spl3_130 ),
inference(forward_demodulation,[],[f15728,f732]) ).
fof(f15728,plain,
( e1 = e3
| e2 = e3
| e0 = e3
| e3 = op(e0,e3)
| ~ spl3_66
| ~ spl3_77
| ~ spl3_95
| ~ spl3_130 ),
inference(forward_demodulation,[],[f3821,f1478]) ).
fof(f3821,plain,
( e2 = e3
| e0 = e3
| e3 = op(e1,e3)
| e3 = op(e0,e3)
| ~ spl3_66
| ~ spl3_77
| ~ spl3_95 ),
inference(forward_demodulation,[],[f3820,f2198]) ).
fof(f2198,plain,
( e2 = op(e2,e3)
| ~ spl3_66
| ~ spl3_95 ),
inference(superposition,[],[f576,f706]) ).
fof(f3820,plain,
( e0 = e3
| e3 = op(e2,e3)
| e3 = op(e1,e3)
| e3 = op(e0,e3)
| ~ spl3_77 ),
inference(forward_demodulation,[],[f146,f628]) ).
fof(f15727,plain,
( spl3_4
| ~ spl3_65
| ~ spl3_69
| ~ spl3_89
| ~ spl3_124 ),
inference(avatar_split_clause,[],[f15679,f1096,f679,f589,f569,f267]) ).
fof(f15679,plain,
( e1 = e2
| ~ spl3_65
| ~ spl3_69
| ~ spl3_89
| ~ spl3_124 ),
inference(forward_demodulation,[],[f8348,f1098]) ).
fof(f15637,plain,
( spl3_99
| ~ spl3_58
| ~ spl3_65
| ~ spl3_109 ),
inference(avatar_split_clause,[],[f14064,f799,f569,f535,f722]) ).
fof(f14064,plain,
( e0 = op(e0,e1)
| ~ spl3_58
| ~ spl3_65
| ~ spl3_109 ),
inference(forward_demodulation,[],[f537,f12770]) ).
fof(f12770,plain,
( e1 = op(e1,e0)
| ~ spl3_65
| ~ spl3_109 ),
inference(superposition,[],[f571,f801]) ).
fof(f15525,plain,
( spl3_134
| spl3_5
| spl3_1
| ~ spl3_95
| ~ spl3_100
| ~ spl3_128 ),
inference(avatar_split_clause,[],[f14927,f1189,f726,f705,f252,f272,f2369]) ).
fof(f14927,plain,
( e0 = e1
| e1 = e3
| e1 = op(e3,e2)
| ~ spl3_95
| ~ spl3_100
| ~ spl3_128 ),
inference(forward_demodulation,[],[f14859,f728]) ).
fof(f14859,plain,
( e1 = e3
| e1 = op(e3,e2)
| e1 = op(e0,e2)
| ~ spl3_95
| ~ spl3_128 ),
inference(duplicate_literal_removal,[],[f3827]) ).
fof(f3827,plain,
( e1 = e3
| e1 = e3
| e1 = op(e3,e2)
| e1 = op(e0,e2)
| ~ spl3_95
| ~ spl3_128 ),
inference(forward_demodulation,[],[f2099,f706]) ).
fof(f15454,plain,
( spl3_92
| spl3_6
| spl3_4
| ~ spl3_104
| ~ spl3_127
| ~ spl3_130 ),
inference(avatar_split_clause,[],[f14576,f1477,f1150,f744,f267,f277,f692]) ).
fof(f14576,plain,
( e1 = e2
| e2 = e3
| e2 = op(e3,e3)
| ~ spl3_104
| ~ spl3_127
| ~ spl3_130 ),
inference(duplicate_literal_removal,[],[f14575]) ).
fof(f14575,plain,
( e1 = e2
| e2 = e3
| e1 = e2
| e2 = op(e3,e3)
| ~ spl3_104
| ~ spl3_127
| ~ spl3_130 ),
inference(forward_demodulation,[],[f14574,f1478]) ).
fof(f14574,plain,
( e2 = e3
| e1 = e2
| e2 = op(e3,e3)
| e2 = op(e1,e3)
| ~ spl3_104
| ~ spl3_127 ),
inference(forward_demodulation,[],[f14005,f1152]) ).
fof(f14005,plain,
( e1 = e2
| e2 = op(e3,e3)
| e2 = op(e2,e3)
| e2 = op(e1,e3)
| ~ spl3_104 ),
inference(forward_demodulation,[],[f144,f746]) ).
fof(f15451,plain,
( ~ spl3_100
| spl3_58
| ~ spl3_79 ),
inference(avatar_split_clause,[],[f15337,f635,f535,f726]) ).
fof(f15337,plain,
( e0 != op(e0,e2)
| spl3_58
| ~ spl3_79 ),
inference(forward_demodulation,[],[f536,f636]) ).
fof(f15449,plain,
( ~ spl3_126
| spl3_71
| ~ spl3_104 ),
inference(avatar_split_clause,[],[f14051,f744,f599,f1126]) ).
fof(f14051,plain,
( e3 != op(e3,e1)
| spl3_71
| ~ spl3_104 ),
inference(forward_demodulation,[],[f600,f746]) ).
fof(f15429,plain,
( spl3_1
| ~ spl3_60
| ~ spl3_104
| ~ spl3_113 ),
inference(avatar_split_clause,[],[f15428,f835,f744,f544,f252]) ).
fof(f15428,plain,
( e0 = e1
| ~ spl3_60
| ~ spl3_104
| ~ spl3_113 ),
inference(forward_demodulation,[],[f746,f15408]) ).
fof(f15408,plain,
( e0 = op(e0,e3)
| ~ spl3_60
| ~ spl3_113 ),
inference(forward_demodulation,[],[f546,f837]) ).
fof(f546,plain,
( e0 = op(e0,op(e0,e0))
| ~ spl3_60 ),
inference(avatar_component_clause,[],[f544]) ).
fof(f15409,plain,
( spl3_92
| spl3_4
| spl3_6
| spl3_2
| ~ spl3_101
| ~ spl3_127
| ~ spl3_130 ),
inference(avatar_split_clause,[],[f14167,f1477,f1150,f730,f257,f277,f267,f692]) ).
fof(f14167,plain,
( e0 = e2
| e2 = e3
| e1 = e2
| e2 = op(e3,e3)
| ~ spl3_101
| ~ spl3_127
| ~ spl3_130 ),
inference(forward_demodulation,[],[f14166,f732]) ).
fof(f14166,plain,
( e2 = e3
| e1 = e2
| e2 = op(e3,e3)
| e2 = op(e0,e3)
| ~ spl3_127
| ~ spl3_130 ),
inference(forward_demodulation,[],[f3603,f1152]) ).
fof(f3603,plain,
( e1 = e2
| e2 = op(e3,e3)
| e2 = op(e2,e3)
| e2 = op(e0,e3)
| ~ spl3_130 ),
inference(forward_demodulation,[],[f144,f1478]) ).
fof(f15407,plain,
( ~ spl3_101
| spl3_60
| ~ spl3_113 ),
inference(avatar_split_clause,[],[f15397,f835,f544,f730]) ).
fof(f15397,plain,
( e0 != op(e0,e3)
| spl3_60
| ~ spl3_113 ),
inference(forward_demodulation,[],[f545,f837]) ).
fof(f15405,plain,
( spl3_121
| ~ spl3_72
| ~ spl3_77 ),
inference(avatar_split_clause,[],[f9862,f627,f604,f1039]) ).
fof(f9862,plain,
( e3 = op(e3,e0)
| ~ spl3_72
| ~ spl3_77 ),
inference(superposition,[],[f606,f628]) ).
fof(f15398,plain,
( spl3_101
| ~ spl3_61
| ~ spl3_72
| ~ spl3_77 ),
inference(avatar_split_clause,[],[f15336,f627,f604,f549,f730]) ).
fof(f15336,plain,
( e0 = op(e0,e3)
| ~ spl3_61
| ~ spl3_72
| ~ spl3_77 ),
inference(forward_demodulation,[],[f551,f9862]) ).
fof(f15392,plain,
( spl3_6
| spl3_4
| spl3_2
| ~ spl3_60
| ~ spl3_77
| ~ spl3_113
| ~ spl3_127
| ~ spl3_130 ),
inference(avatar_split_clause,[],[f15329,f1477,f1150,f835,f627,f544,f257,f267,f277]) ).
fof(f15329,plain,
( e0 = e2
| e1 = e2
| e2 = e3
| ~ spl3_60
| ~ spl3_77
| ~ spl3_113
| ~ spl3_127
| ~ spl3_130 ),
inference(duplicate_literal_removal,[],[f15328]) ).
fof(f15328,plain,
( e0 = e2
| e1 = e2
| e0 = e2
| e2 = e3
| ~ spl3_60
| ~ spl3_77
| ~ spl3_113
| ~ spl3_127
| ~ spl3_130 ),
inference(forward_demodulation,[],[f15327,f11986]) ).
fof(f11986,plain,
( e0 = op(e0,e3)
| ~ spl3_60
| ~ spl3_113 ),
inference(superposition,[],[f546,f837]) ).
fof(f15327,plain,
( e1 = e2
| e0 = e2
| e2 = e3
| e2 = op(e0,e3)
| ~ spl3_77
| ~ spl3_127
| ~ spl3_130 ),
inference(forward_demodulation,[],[f9452,f1478]) ).
fof(f9452,plain,
( e0 = e2
| e2 = e3
| e2 = op(e1,e3)
| e2 = op(e0,e3)
| ~ spl3_77
| ~ spl3_127 ),
inference(forward_demodulation,[],[f9075,f628]) ).
fof(f9075,plain,
( e2 = e3
| e2 = op(e3,e3)
| e2 = op(e1,e3)
| e2 = op(e0,e3)
| ~ spl3_127 ),
inference(forward_demodulation,[],[f144,f1152]) ).
fof(f15365,plain,
( spl3_3
| ~ spl3_90
| ~ spl3_128 ),
inference(avatar_split_clause,[],[f15346,f1189,f683,f262]) ).
fof(f15346,plain,
( e0 = e3
| ~ spl3_90
| ~ spl3_128 ),
inference(superposition,[],[f684,f1191]) ).
fof(f15260,plain,
( spl3_100
| ~ spl3_58
| ~ spl3_79 ),
inference(avatar_split_clause,[],[f14942,f635,f535,f726]) ).
fof(f15139,plain,
( spl3_5
| ~ spl3_71
| ~ spl3_104
| ~ spl3_125 ),
inference(avatar_split_clause,[],[f15126,f1100,f744,f599,f272]) ).
fof(f15126,plain,
( e1 = e3
| ~ spl3_71
| ~ spl3_104
| ~ spl3_125 ),
inference(forward_demodulation,[],[f14622,f1102]) ).
fof(f14622,plain,
( e3 = op(e3,e1)
| ~ spl3_71
| ~ spl3_104 ),
inference(forward_demodulation,[],[f601,f746]) ).
fof(f15042,plain,
( spl3_5
| spl3_4
| spl3_1
| ~ spl3_77
| ~ spl3_117
| ~ spl3_126
| ~ spl3_132 ),
inference(avatar_split_clause,[],[f14903,f1487,f1126,f906,f627,f252,f267,f272]) ).
fof(f14903,plain,
( e0 = e1
| e1 = e2
| e1 = e3
| ~ spl3_77
| ~ spl3_117
| ~ spl3_126
| ~ spl3_132 ),
inference(duplicate_literal_removal,[],[f14902]) ).
fof(f14902,plain,
( e0 = e1
| e0 = e1
| e1 = e2
| e1 = e3
| ~ spl3_77
| ~ spl3_117
| ~ spl3_126
| ~ spl3_132 ),
inference(forward_demodulation,[],[f14159,f628]) ).
fof(f14159,plain,
( e0 = e1
| e1 = e2
| e1 = e3
| e1 = op(e3,e3)
| ~ spl3_117
| ~ spl3_126
| ~ spl3_132 ),
inference(forward_demodulation,[],[f8484,f908]) ).
fof(f8484,plain,
( e1 = e2
| e1 = e3
| e1 = op(e3,e3)
| e1 = op(e3,e0)
| ~ spl3_126
| ~ spl3_132 ),
inference(forward_demodulation,[],[f7677,f1489]) ).
fof(f7677,plain,
( e1 = e3
| e1 = op(e3,e3)
| e1 = op(e3,e2)
| e1 = op(e3,e0)
| ~ spl3_126 ),
inference(forward_demodulation,[],[f141,f1128]) ).
fof(f14943,plain,
( spl3_4
| ~ spl3_65
| ~ spl3_79
| ~ spl3_109 ),
inference(avatar_split_clause,[],[f14043,f799,f635,f569,f267]) ).
fof(f14043,plain,
( e1 = e2
| ~ spl3_65
| ~ spl3_79
| ~ spl3_109 ),
inference(forward_demodulation,[],[f636,f12770]) ).
fof(f14857,plain,
( spl3_4
| ~ spl3_64
| ~ spl3_79
| ~ spl3_84 ),
inference(avatar_split_clause,[],[f14837,f657,f635,f564,f267]) ).
fof(f14837,plain,
( e1 = e2
| ~ spl3_64
| ~ spl3_79
| ~ spl3_84 ),
inference(forward_demodulation,[],[f636,f960]) ).
fof(f960,plain,
( e1 = op(e1,e0)
| ~ spl3_64
| ~ spl3_84 ),
inference(superposition,[],[f566,f658]) ).
fof(f14770,plain,
( spl3_6
| spl3_4
| spl3_2
| ~ spl3_109
| ~ spl3_118
| ~ spl3_128
| ~ spl3_130 ),
inference(avatar_split_clause,[],[f14713,f1477,f1189,f950,f799,f257,f267,f277]) ).
fof(f14713,plain,
( e0 = e2
| e1 = e2
| e2 = e3
| ~ spl3_109
| ~ spl3_118
| ~ spl3_128
| ~ spl3_130 ),
inference(duplicate_literal_removal,[],[f14712]) ).
fof(f14712,plain,
( e0 = e2
| e1 = e2
| e2 = e3
| e0 = e2
| ~ spl3_109
| ~ spl3_118
| ~ spl3_128
| ~ spl3_130 ),
inference(forward_demodulation,[],[f14668,f952]) ).
fof(f14668,plain,
( e1 = e2
| e2 = e3
| e0 = e2
| e2 = op(e1,e0)
| ~ spl3_109
| ~ spl3_128
| ~ spl3_130 ),
inference(forward_demodulation,[],[f12766,f1478]) ).
fof(f12766,plain,
( e2 = e3
| e0 = e2
| e2 = op(e1,e3)
| e2 = op(e1,e0)
| ~ spl3_109
| ~ spl3_128 ),
inference(forward_demodulation,[],[f1060,f1191]) ).
fof(f1060,plain,
( e0 = e2
| e2 = op(e1,e3)
| e2 = op(e1,e2)
| e2 = op(e1,e0)
| ~ spl3_109 ),
inference(forward_demodulation,[],[f127,f801]) ).
fof(f14760,plain,
( spl3_100
| ~ spl3_61
| ~ spl3_112 ),
inference(avatar_split_clause,[],[f13494,f817,f549,f726]) ).
fof(f14708,plain,
( spl3_2
| ~ spl3_65
| ~ spl3_85
| ~ spl3_109
| ~ spl3_118 ),
inference(avatar_split_clause,[],[f14681,f950,f799,f661,f569,f257]) ).
fof(f14681,plain,
( e0 = e2
| ~ spl3_65
| ~ spl3_85
| ~ spl3_109
| ~ spl3_118 ),
inference(forward_demodulation,[],[f13757,f13722]) ).
fof(f13722,plain,
( e0 = op(e0,e0)
| ~ spl3_65
| ~ spl3_109
| ~ spl3_118 ),
inference(forward_demodulation,[],[f801,f13719]) ).
fof(f13719,plain,
( e0 = e1
| ~ spl3_65
| ~ spl3_109
| ~ spl3_118 ),
inference(forward_demodulation,[],[f2604,f952]) ).
fof(f2604,plain,
( e1 = op(e1,e0)
| ~ spl3_65
| ~ spl3_109 ),
inference(superposition,[],[f571,f801]) ).
fof(f13757,plain,
( op(e0,e0) = e2
| ~ spl3_65
| ~ spl3_85
| ~ spl3_109
| ~ spl3_118 ),
inference(forward_demodulation,[],[f662,f13719]) ).
fof(f14654,plain,
( spl3_2
| ~ spl3_98
| ~ spl3_106 ),
inference(avatar_split_clause,[],[f4253,f766,f718,f257]) ).
fof(f4253,plain,
( e0 = e2
| ~ spl3_98
| ~ spl3_106 ),
inference(superposition,[],[f720,f768]) ).
fof(f720,plain,
( e0 = op(e0,e0)
| ~ spl3_98 ),
inference(avatar_component_clause,[],[f718]) ).
fof(f14550,plain,
( spl3_84
| spl3_3
| spl3_1
| ~ spl3_86
| ~ spl3_103
| ~ spl3_124 ),
inference(avatar_split_clause,[],[f14440,f1096,f740,f666,f252,f262,f657]) ).
fof(f14440,plain,
( e0 = e1
| e0 = e3
| e0 = op(e3,e1)
| ~ spl3_86
| ~ spl3_103
| ~ spl3_124 ),
inference(duplicate_literal_removal,[],[f14439]) ).
fof(f14439,plain,
( e0 = e1
| e0 = e3
| e0 = e1
| e0 = op(e3,e1)
| ~ spl3_86
| ~ spl3_103
| ~ spl3_124 ),
inference(forward_demodulation,[],[f14438,f742]) ).
fof(f14438,plain,
( e0 = e3
| e0 = e1
| e0 = op(e3,e1)
| e0 = op(e0,e1)
| ~ spl3_86
| ~ spl3_124 ),
inference(forward_demodulation,[],[f3660,f667]) ).
fof(f3660,plain,
( e0 = e1
| e0 = op(e3,e1)
| e0 = op(e1,e1)
| e0 = op(e0,e1)
| ~ spl3_124 ),
inference(forward_demodulation,[],[f124,f1098]) ).
fof(f14549,plain,
( ~ spl3_76
| spl3_37
| ~ spl3_86 ),
inference(avatar_split_clause,[],[f2189,f666,f432,f622]) ).
fof(f432,plain,
( spl3_37
<=> op(e1,e0) = op(e1,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_37])]) ).
fof(f2189,plain,
( e3 != op(e1,e0)
| spl3_37
| ~ spl3_86 ),
inference(superposition,[],[f434,f667]) ).
fof(f434,plain,
( op(e1,e0) != op(e1,e1)
| spl3_37 ),
inference(avatar_component_clause,[],[f432]) ).
fof(f14519,plain,
( spl3_6
| spl3_2
| spl3_4
| ~ spl3_75
| ~ spl3_88
| ~ spl3_95
| ~ spl3_124 ),
inference(avatar_split_clause,[],[f14451,f1096,f705,f674,f618,f267,f257,f277]) ).
fof(f14451,plain,
( e1 = e2
| e0 = e2
| e2 = e3
| ~ spl3_75
| ~ spl3_88
| ~ spl3_95
| ~ spl3_124 ),
inference(duplicate_literal_removal,[],[f14450]) ).
fof(f14450,plain,
( e1 = e2
| e0 = e2
| e2 = e3
| e1 = e2
| ~ spl3_75
| ~ spl3_88
| ~ spl3_95
| ~ spl3_124 ),
inference(forward_demodulation,[],[f14449,f619]) ).
fof(f14449,plain,
( e0 = e2
| e2 = e3
| e1 = e2
| e2 = op(e2,e0)
| ~ spl3_88
| ~ spl3_95
| ~ spl3_124 ),
inference(forward_demodulation,[],[f13659,f675]) ).
fof(f13659,plain,
( e2 = e3
| e1 = e2
| e2 = op(e2,e3)
| e2 = op(e2,e0)
| ~ spl3_95
| ~ spl3_124 ),
inference(forward_demodulation,[],[f2092,f706]) ).
fof(f2092,plain,
( e1 = e2
| e2 = op(e2,e3)
| e2 = op(e2,e2)
| e2 = op(e2,e0)
| ~ spl3_124 ),
inference(forward_demodulation,[],[f135,f1098]) ).
fof(f14495,plain,
( spl3_98
| ~ spl3_61
| ~ spl3_117 ),
inference(avatar_split_clause,[],[f1067,f906,f549,f718]) ).
fof(f1067,plain,
( e0 = op(e0,e0)
| ~ spl3_61
| ~ spl3_117 ),
inference(superposition,[],[f551,f908]) ).
fof(f14492,plain,
( ~ spl3_130
| spl3_65
| ~ spl3_86 ),
inference(avatar_split_clause,[],[f11531,f666,f569,f1477]) ).
fof(f11531,plain,
( e1 != op(e1,e3)
| spl3_65
| ~ spl3_86 ),
inference(forward_demodulation,[],[f570,f667]) ).
fof(f14485,plain,
( spl3_119
| ~ spl3_64
| ~ spl3_131 ),
inference(avatar_split_clause,[],[f10519,f1483,f564,f1019]) ).
fof(f10519,plain,
( e1 = op(e1,e2)
| ~ spl3_64
| ~ spl3_131 ),
inference(forward_demodulation,[],[f566,f1485]) ).
fof(f14431,plain,
( spl3_2
| ~ spl3_66
| ~ spl3_88
| ~ spl3_95 ),
inference(avatar_split_clause,[],[f14374,f705,f674,f574,f257]) ).
fof(f14374,plain,
( e0 = e2
| ~ spl3_66
| ~ spl3_88
| ~ spl3_95 ),
inference(forward_demodulation,[],[f8521,f675]) ).
fof(f8521,plain,
( e2 = op(e2,e3)
| ~ spl3_66
| ~ spl3_95 ),
inference(forward_demodulation,[],[f576,f706]) ).
fof(f14346,plain,
( spl3_1
| ~ spl3_64
| ~ spl3_90
| ~ spl3_131 ),
inference(avatar_split_clause,[],[f14235,f1483,f683,f564,f252]) ).
fof(f14235,plain,
( e0 = e1
| ~ spl3_64
| ~ spl3_90
| ~ spl3_131 ),
inference(forward_demodulation,[],[f10519,f684]) ).
fof(f14205,plain,
( spl3_88
| spl3_2
| spl3_1
| ~ spl3_75
| ~ spl3_124
| ~ spl3_133 ),
inference(avatar_split_clause,[],[f14153,f2279,f1096,f618,f252,f257,f674]) ).
fof(f14153,plain,
( e0 = e1
| e0 = e2
| e0 = op(e2,e3)
| ~ spl3_75
| ~ spl3_124
| ~ spl3_133 ),
inference(duplicate_literal_removal,[],[f14152]) ).
fof(f14152,plain,
( e0 = e1
| e0 = e1
| e0 = e2
| e0 = op(e2,e3)
| ~ spl3_75
| ~ spl3_124
| ~ spl3_133 ),
inference(forward_demodulation,[],[f14151,f619]) ).
fof(f14151,plain,
( e0 = e1
| e0 = e2
| e0 = op(e2,e3)
| e0 = op(e2,e0)
| ~ spl3_124
| ~ spl3_133 ),
inference(forward_demodulation,[],[f5506,f1098]) ).
fof(f14201,plain,
( ~ spl3_102
| spl3_8
| ~ spl3_75 ),
inference(avatar_split_clause,[],[f763,f618,f287,f736]) ).
fof(f763,plain,
( op(e0,e0) != e1
| spl3_8
| ~ spl3_75 ),
inference(superposition,[],[f289,f619]) ).
fof(f14198,plain,
( ~ spl3_135
| spl3_70
| ~ spl3_127 ),
inference(avatar_split_clause,[],[f13483,f1150,f594,f2944]) ).
fof(f13483,plain,
( e3 != op(e3,e3)
| spl3_70
| ~ spl3_127 ),
inference(forward_demodulation,[],[f595,f1152]) ).
fof(f595,plain,
( e3 != op(e3,op(e2,e3))
| spl3_70 ),
inference(avatar_component_clause,[],[f594]) ).
fof(f14149,plain,
( spl3_111
| ~ spl3_69
| ~ spl3_90 ),
inference(avatar_split_clause,[],[f4677,f683,f589,f813]) ).
fof(f4677,plain,
( e2 = op(e2,e0)
| ~ spl3_69
| ~ spl3_90 ),
inference(forward_demodulation,[],[f591,f684]) ).
fof(f14146,plain,
( ~ spl3_99
| spl3_56
| ~ spl3_75 ),
inference(avatar_split_clause,[],[f3311,f618,f526,f722]) ).
fof(f3311,plain,
( e0 != op(e0,e1)
| spl3_56
| ~ spl3_75 ),
inference(forward_demodulation,[],[f527,f619]) ).
fof(f14066,plain,
( spl3_1
| ~ spl3_101
| ~ spl3_104 ),
inference(avatar_split_clause,[],[f11748,f744,f730,f252]) ).
fof(f11748,plain,
( e0 = e1
| ~ spl3_101
| ~ spl3_104 ),
inference(forward_demodulation,[],[f746,f732]) ).
fof(f13977,plain,
( ~ spl3_87
| spl3_28
| ~ spl3_136 ),
inference(avatar_split_clause,[],[f5291,f3629,f387,f670]) ).
fof(f387,plain,
( spl3_28
<=> op(e1,e3) = op(e2,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_28])]) ).
fof(f5291,plain,
( e2 != op(e1,e3)
| spl3_28
| ~ spl3_136 ),
inference(superposition,[],[f389,f3630]) ).
fof(f389,plain,
( op(e1,e3) != op(e2,e3)
| spl3_28 ),
inference(avatar_component_clause,[],[f387]) ).
fof(f13973,plain,
( ~ spl3_100
| spl3_61
| ~ spl3_112 ),
inference(avatar_split_clause,[],[f13843,f817,f549,f726]) ).
fof(f13843,plain,
( e0 != op(e0,e2)
| spl3_61
| ~ spl3_112 ),
inference(forward_demodulation,[],[f550,f819]) ).
fof(f13971,plain,
( ~ spl3_88
| ~ spl3_95
| ~ spl3_104 ),
inference(avatar_split_clause,[],[f13808,f744,f705,f674]) ).
fof(f13808,plain,
( e0 != op(e2,e3)
| ~ spl3_95
| ~ spl3_104 ),
inference(trivial_inequality_removal,[],[f13807]) ).
fof(f13807,plain,
( e3 != e3
| e0 != op(e2,e3)
| ~ spl3_95
| ~ spl3_104 ),
inference(forward_demodulation,[],[f12616,f706]) ).
fof(f12616,plain,
( e0 != op(e2,e3)
| e3 != op(e2,e2)
| ~ spl3_104 ),
inference(trivial_inequality_removal,[],[f7183]) ).
fof(f7183,plain,
( e1 != e1
| e0 != op(e2,e3)
| e3 != op(e2,e2)
| ~ spl3_104 ),
inference(forward_demodulation,[],[f232,f746]) ).
fof(f232,plain,
( e1 != op(e0,e3)
| e0 != op(e2,e3)
| e3 != op(e2,e2) ),
inference(inner_rewriting,[],[f231]) ).
fof(f231,plain,
( e1 != op(e0,op(e2,e2))
| e0 != op(e2,op(e2,e2))
| e3 != op(e2,e2) ),
inference(inner_rewriting,[],[f193]) ).
fof(f193,plain,
( e1 != op(op(e2,op(e2,e2)),op(e2,e2))
| e0 != op(e2,op(e2,e2))
| e3 != op(e2,e2) ),
inference(cnf_transformation,[],[f44]) ).
fof(f44,plain,
( e1 != op(op(e2,op(e2,e2)),op(e2,e2))
| e0 != op(e2,op(e2,e2))
| e3 != op(e2,e2) ),
inference(ennf_transformation,[],[f25]) ).
fof(f25,axiom,
~ ( e1 = op(op(e2,op(e2,e2)),op(e2,e2))
& e0 = op(e2,op(e2,e2))
& e3 = op(e2,e2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax25) ).
fof(f13913,plain,
( spl3_2
| ~ spl3_89
| ~ spl3_109 ),
inference(avatar_split_clause,[],[f13878,f799,f679,f257]) ).
fof(f13878,plain,
( e0 = e2
| ~ spl3_89
| ~ spl3_109 ),
inference(superposition,[],[f801,f680]) ).
fof(f13844,plain,
( spl3_6
| ~ spl3_71
| ~ spl3_101
| ~ spl3_112 ),
inference(avatar_split_clause,[],[f11666,f817,f730,f599,f277]) ).
fof(f11666,plain,
( e2 = e3
| ~ spl3_71
| ~ spl3_101
| ~ spl3_112 ),
inference(forward_demodulation,[],[f7819,f819]) ).
fof(f7819,plain,
( e3 = op(e3,e0)
| ~ spl3_71
| ~ spl3_101 ),
inference(forward_demodulation,[],[f601,f732]) ).
fof(f13766,plain,
( spl3_2
| ~ spl3_65
| ~ spl3_89
| ~ spl3_109
| ~ spl3_118 ),
inference(avatar_split_clause,[],[f13737,f950,f799,f679,f569,f257]) ).
fof(f13737,plain,
( e0 = e2
| ~ spl3_65
| ~ spl3_89
| ~ spl3_109
| ~ spl3_118 ),
inference(forward_demodulation,[],[f13736,f13722]) ).
fof(f13736,plain,
( op(e0,e0) = e2
| ~ spl3_65
| ~ spl3_89
| ~ spl3_109
| ~ spl3_118 ),
inference(forward_demodulation,[],[f680,f13719]) ).
fof(f13687,plain,
( spl3_4
| ~ spl3_69
| ~ spl3_119
| ~ spl3_124 ),
inference(avatar_split_clause,[],[f13675,f1096,f1019,f589,f267]) ).
fof(f13675,plain,
( e1 = e2
| ~ spl3_69
| ~ spl3_119
| ~ spl3_124 ),
inference(forward_demodulation,[],[f10243,f1098]) ).
fof(f13648,plain,
( spl3_125
| ~ spl3_68
| ~ spl3_124
| ~ spl3_134 ),
inference(avatar_split_clause,[],[f13644,f2369,f1096,f584,f1100]) ).
fof(f13644,plain,
( e1 = op(e3,e1)
| ~ spl3_68
| ~ spl3_124
| ~ spl3_134 ),
inference(forward_demodulation,[],[f2371,f13643]) ).
fof(f13643,plain,
( e1 = e2
| ~ spl3_68
| ~ spl3_124
| ~ spl3_134 ),
inference(forward_demodulation,[],[f4101,f1098]) ).
fof(f13589,plain,
( spl3_6
| spl3_2
| spl3_4
| ~ spl3_86
| ~ spl3_97
| ~ spl3_105
| ~ spl3_119 ),
inference(avatar_split_clause,[],[f13501,f1019,f757,f713,f666,f267,f257,f277]) ).
fof(f13501,plain,
( e1 = e2
| e0 = e2
| e2 = e3
| ~ spl3_86
| ~ spl3_97
| ~ spl3_105
| ~ spl3_119 ),
inference(duplicate_literal_removal,[],[f13500]) ).
fof(f13500,plain,
( e1 = e2
| e1 = e2
| e0 = e2
| e2 = e3
| ~ spl3_86
| ~ spl3_97
| ~ spl3_105
| ~ spl3_119 ),
inference(forward_demodulation,[],[f13499,f759]) ).
fof(f13499,plain,
( e1 = e2
| e0 = e2
| e2 = e3
| e2 = op(e1,e0)
| ~ spl3_86
| ~ spl3_97
| ~ spl3_119 ),
inference(forward_demodulation,[],[f13498,f1020]) ).
fof(f13498,plain,
( e0 = e2
| e2 = e3
| e2 = op(e1,e2)
| e2 = op(e1,e0)
| ~ spl3_86
| ~ spl3_97 ),
inference(forward_demodulation,[],[f3050,f714]) ).
fof(f13583,plain,
( spl3_100
| ~ spl3_61
| ~ spl3_112 ),
inference(avatar_split_clause,[],[f13494,f817,f549,f726]) ).
fof(f13497,plain,
( spl3_2
| ~ spl3_60
| ~ spl3_108
| ~ spl3_113 ),
inference(avatar_split_clause,[],[f12447,f835,f774,f544,f257]) ).
fof(f12447,plain,
( e0 = e2
| ~ spl3_60
| ~ spl3_108
| ~ spl3_113 ),
inference(forward_demodulation,[],[f776,f11986]) ).
fof(f13365,plain,
( spl3_118
| spl3_117
| spl3_1
| spl3_3
| ~ spl3_102
| ~ spl3_120 ),
inference(avatar_split_clause,[],[f5725,f1035,f736,f262,f252,f906,f950]) ).
fof(f5725,plain,
( e0 = e3
| e0 = e1
| e0 = op(e3,e0)
| e0 = op(e1,e0)
| ~ spl3_102
| ~ spl3_120 ),
inference(forward_demodulation,[],[f1755,f1037]) ).
fof(f1755,plain,
( e0 = e1
| e0 = op(e3,e0)
| e0 = op(e2,e0)
| e0 = op(e1,e0)
| ~ spl3_102 ),
inference(forward_demodulation,[],[f116,f738]) ).
fof(f13364,plain,
( spl3_133
| spl3_6
| spl3_2
| spl3_4
| ~ spl3_91
| ~ spl3_93
| ~ spl3_119 ),
inference(avatar_split_clause,[],[f13360,f1019,f696,f687,f267,f257,f277,f2279]) ).
fof(f13360,plain,
( e1 = e2
| e0 = e2
| e2 = e3
| e2 = op(e2,e2)
| ~ spl3_91
| ~ spl3_93
| ~ spl3_119 ),
inference(forward_demodulation,[],[f12924,f1020]) ).
fof(f12924,plain,
( e0 = e2
| e2 = e3
| e2 = op(e2,e2)
| e2 = op(e1,e2)
| ~ spl3_91
| ~ spl3_93 ),
inference(forward_demodulation,[],[f8478,f697]) ).
fof(f13359,plain,
( spl3_88
| spl3_3
| spl3_2
| ~ spl3_69
| ~ spl3_119
| ~ spl3_120
| ~ spl3_133 ),
inference(avatar_split_clause,[],[f13320,f2279,f1035,f1019,f589,f257,f262,f674]) ).
fof(f13320,plain,
( e0 = e2
| e0 = e3
| e0 = op(e2,e3)
| ~ spl3_69
| ~ spl3_119
| ~ spl3_120
| ~ spl3_133 ),
inference(duplicate_literal_removal,[],[f13319]) ).
fof(f13319,plain,
( e0 = e2
| e0 = e3
| e0 = e2
| e0 = op(e2,e3)
| ~ spl3_69
| ~ spl3_119
| ~ spl3_120
| ~ spl3_133 ),
inference(forward_demodulation,[],[f13199,f10243]) ).
fof(f13317,plain,
( spl3_133
| spl3_4
| spl3_6
| ~ spl3_96
| ~ spl3_120
| ~ spl3_124 ),
inference(avatar_split_clause,[],[f13313,f1096,f1035,f709,f277,f267,f2279]) ).
fof(f13313,plain,
( e2 = e3
| e1 = e2
| e2 = op(e2,e2)
| ~ spl3_96
| ~ spl3_120
| ~ spl3_124 ),
inference(forward_demodulation,[],[f13312,f1037]) ).
fof(f13312,plain,
( e1 = e2
| e2 = op(e2,e2)
| e2 = op(e2,e0)
| ~ spl3_96
| ~ spl3_124 ),
inference(duplicate_literal_removal,[],[f13311]) ).
fof(f13311,plain,
( e1 = e2
| e1 = e2
| e2 = op(e2,e2)
| e2 = op(e2,e0)
| ~ spl3_96
| ~ spl3_124 ),
inference(forward_demodulation,[],[f2092,f710]) ).
fof(f13309,plain,
( spl3_83
| spl3_5
| spl3_1
| spl3_4
| ~ spl3_93
| ~ spl3_112
| ~ spl3_126 ),
inference(avatar_split_clause,[],[f13296,f1126,f817,f696,f267,f252,f272,f653]) ).
fof(f13296,plain,
( e1 = e2
| e0 = e1
| e1 = e3
| e1 = op(e3,e3)
| ~ spl3_93
| ~ spl3_112
| ~ spl3_126 ),
inference(forward_demodulation,[],[f12904,f819]) ).
fof(f12904,plain,
( e0 = e1
| e1 = e3
| e1 = op(e3,e3)
| e1 = op(e3,e0)
| ~ spl3_93
| ~ spl3_126 ),
inference(forward_demodulation,[],[f9502,f697]) ).
fof(f13295,plain,
( spl3_90
| spl3_93
| spl3_2
| spl3_3
| ~ spl3_91
| ~ spl3_133 ),
inference(avatar_split_clause,[],[f5453,f2279,f687,f262,f257,f696,f683]) ).
fof(f5453,plain,
( e0 = e3
| e0 = e2
| e0 = op(e3,e2)
| e0 = op(e1,e2)
| ~ spl3_91
| ~ spl3_133 ),
inference(forward_demodulation,[],[f5452,f688]) ).
fof(f5452,plain,
( e0 = e2
| e0 = op(e3,e2)
| e0 = op(e1,e2)
| e0 = op(e0,e2)
| ~ spl3_133 ),
inference(forward_demodulation,[],[f132,f2281]) ).
fof(f13284,plain,
( spl3_77
| spl3_2
| spl3_1
| spl3_3
| ~ spl3_112
| ~ spl3_126
| ~ spl3_134 ),
inference(avatar_split_clause,[],[f13263,f2369,f1126,f817,f262,f252,f257,f627]) ).
fof(f13263,plain,
( e0 = e3
| e0 = e1
| e0 = e2
| e0 = op(e3,e3)
| ~ spl3_112
| ~ spl3_126
| ~ spl3_134 ),
inference(forward_demodulation,[],[f4734,f1128]) ).
fof(f4734,plain,
( e0 = e1
| e0 = e2
| e0 = op(e3,e3)
| e0 = op(e3,e1)
| ~ spl3_112
| ~ spl3_134 ),
inference(forward_demodulation,[],[f2902,f2371]) ).
fof(f2902,plain,
( e0 = e2
| e0 = op(e3,e3)
| e0 = op(e3,e2)
| e0 = op(e3,e1)
| ~ spl3_112 ),
inference(forward_demodulation,[],[f139,f819]) ).
fof(f13262,plain,
( spl3_137
| spl3_3
| spl3_5
| spl3_6
| ~ spl3_77
| ~ spl3_96
| ~ spl3_108 ),
inference(avatar_split_clause,[],[f13090,f774,f709,f627,f277,f272,f262,f10132]) ).
fof(f13090,plain,
( e2 = e3
| e1 = e3
| e0 = e3
| e3 = op(e1,e3)
| ~ spl3_77
| ~ spl3_96
| ~ spl3_108 ),
inference(forward_demodulation,[],[f13036,f776]) ).
fof(f13036,plain,
( e1 = e3
| e0 = e3
| e3 = op(e1,e3)
| e3 = op(e0,e3)
| ~ spl3_77
| ~ spl3_96 ),
inference(forward_demodulation,[],[f5851,f710]) ).
fof(f13250,plain,
( spl3_118
| spl3_97
| spl3_1
| ~ spl3_119
| ~ spl3_123 ),
inference(avatar_split_clause,[],[f12279,f1092,f1019,f252,f713,f950]) ).
fof(f12279,plain,
( e0 = e1
| e0 = op(e1,e3)
| e0 = op(e1,e0)
| ~ spl3_119
| ~ spl3_123 ),
inference(duplicate_literal_removal,[],[f12278]) ).
fof(f12278,plain,
( e0 = e1
| e0 = e1
| e0 = op(e1,e3)
| e0 = op(e1,e0)
| ~ spl3_119
| ~ spl3_123 ),
inference(forward_demodulation,[],[f10216,f1094]) ).
fof(f10216,plain,
( e0 = e1
| e0 = op(e1,e3)
| e0 = op(e1,e1)
| e0 = op(e1,e0)
| ~ spl3_119 ),
inference(forward_demodulation,[],[f123,f1020]) ).
fof(f13238,plain,
( ~ spl3_122
| spl3_22
| ~ spl3_133 ),
inference(avatar_split_clause,[],[f2285,f2279,f357,f1072]) ).
fof(f357,plain,
( spl3_22
<=> op(e1,e2) = op(e2,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_22])]) ).
fof(f2285,plain,
( e2 != op(e1,e2)
| spl3_22
| ~ spl3_133 ),
inference(superposition,[],[f359,f2281]) ).
fof(f359,plain,
( op(e1,e2) != op(e2,e2)
| spl3_22 ),
inference(avatar_component_clause,[],[f357]) ).
fof(f13180,plain,
( spl3_88
| spl3_2
| spl3_3
| ~ spl3_69
| ~ spl3_95
| ~ spl3_119
| ~ spl3_120 ),
inference(avatar_split_clause,[],[f13016,f1035,f1019,f705,f589,f262,f257,f674]) ).
fof(f13016,plain,
( e0 = e3
| e0 = e2
| e0 = op(e2,e3)
| ~ spl3_69
| ~ spl3_95
| ~ spl3_119
| ~ spl3_120 ),
inference(duplicate_literal_removal,[],[f13015]) ).
fof(f13015,plain,
( e0 = e3
| e0 = e2
| e0 = e3
| e0 = op(e2,e3)
| ~ spl3_69
| ~ spl3_95
| ~ spl3_119
| ~ spl3_120 ),
inference(forward_demodulation,[],[f13014,f1037]) ).
fof(f13014,plain,
( e0 = e2
| e0 = e3
| e0 = op(e2,e3)
| e0 = op(e2,e0)
| ~ spl3_69
| ~ spl3_95
| ~ spl3_119 ),
inference(forward_demodulation,[],[f2758,f10243]) ).
fof(f13106,plain,
( spl3_6
| spl3_2
| spl3_4
| ~ spl3_91
| ~ spl3_93
| ~ spl3_95
| ~ spl3_119 ),
inference(avatar_split_clause,[],[f13009,f1019,f705,f696,f687,f267,f257,f277]) ).
fof(f13009,plain,
( e1 = e2
| e0 = e2
| e2 = e3
| ~ spl3_91
| ~ spl3_93
| ~ spl3_95
| ~ spl3_119 ),
inference(forward_demodulation,[],[f13008,f1020]) ).
fof(f13008,plain,
( e0 = e2
| e2 = e3
| e2 = op(e1,e2)
| ~ spl3_91
| ~ spl3_93
| ~ spl3_95 ),
inference(forward_demodulation,[],[f8473,f697]) ).
fof(f8473,plain,
( e2 = e3
| e2 = op(e3,e2)
| e2 = op(e1,e2)
| ~ spl3_91
| ~ spl3_95 ),
inference(duplicate_literal_removal,[],[f6501]) ).
fof(f6501,plain,
( e2 = e3
| e2 = e3
| e2 = op(e3,e2)
| e2 = op(e1,e2)
| ~ spl3_91
| ~ spl3_95 ),
inference(forward_demodulation,[],[f3836,f688]) ).
fof(f3836,plain,
( e2 = e3
| e2 = op(e3,e2)
| e2 = op(e1,e2)
| e2 = op(e0,e2)
| ~ spl3_95 ),
inference(forward_demodulation,[],[f136,f706]) ).
fof(f13089,plain,
( spl3_97
| spl3_1
| ~ spl3_105
| ~ spl3_119
| ~ spl3_123 ),
inference(avatar_split_clause,[],[f12996,f1092,f1019,f757,f252,f713]) ).
fof(f12996,plain,
( e0 = e1
| e0 = op(e1,e3)
| ~ spl3_105
| ~ spl3_119
| ~ spl3_123 ),
inference(duplicate_literal_removal,[],[f12995]) ).
fof(f12995,plain,
( e0 = e1
| e0 = e1
| e0 = op(e1,e3)
| ~ spl3_105
| ~ spl3_119
| ~ spl3_123 ),
inference(forward_demodulation,[],[f12263,f1094]) ).
fof(f12263,plain,
( e0 = e1
| e0 = op(e1,e3)
| e0 = op(e1,e1)
| ~ spl3_105
| ~ spl3_119 ),
inference(duplicate_literal_removal,[],[f10449]) ).
fof(f13088,plain,
( ~ spl3_130
| spl3_64
| ~ spl3_126 ),
inference(avatar_split_clause,[],[f12932,f1126,f564,f1477]) ).
fof(f12932,plain,
( e1 != op(e1,e3)
| spl3_64
| ~ spl3_126 ),
inference(forward_demodulation,[],[f565,f1128]) ).
fof(f565,plain,
( e1 != op(e1,op(e3,e1))
| spl3_64 ),
inference(avatar_component_clause,[],[f564]) ).
fof(f13086,plain,
( ~ spl3_126
| spl3_70
| ~ spl3_96 ),
inference(avatar_split_clause,[],[f11394,f709,f594,f1126]) ).
fof(f11394,plain,
( e3 != op(e3,e1)
| spl3_70
| ~ spl3_96 ),
inference(forward_demodulation,[],[f595,f710]) ).
fof(f12955,plain,
( spl3_6
| spl3_2
| spl3_4
| ~ spl3_80
| ~ spl3_91
| ~ spl3_93
| ~ spl3_128 ),
inference(avatar_split_clause,[],[f12916,f1189,f696,f687,f640,f267,f257,f277]) ).
fof(f12916,plain,
( e1 = e2
| e0 = e2
| e2 = e3
| ~ spl3_80
| ~ spl3_91
| ~ spl3_93
| ~ spl3_128 ),
inference(forward_demodulation,[],[f12915,f641]) ).
fof(f12915,plain,
( e0 = e2
| e2 = e3
| e2 = op(e2,e2)
| ~ spl3_91
| ~ spl3_93
| ~ spl3_128 ),
inference(forward_demodulation,[],[f11001,f697]) ).
fof(f11001,plain,
( e2 = e3
| e2 = op(e3,e2)
| e2 = op(e2,e2)
| ~ spl3_91
| ~ spl3_128 ),
inference(duplicate_literal_removal,[],[f11000]) ).
fof(f11000,plain,
( e2 = e3
| e2 = e3
| e2 = op(e3,e2)
| e2 = op(e2,e2)
| ~ spl3_91
| ~ spl3_128 ),
inference(forward_demodulation,[],[f8478,f1191]) ).
fof(f12889,plain,
( spl3_5
| spl3_4
| spl3_1
| ~ spl3_73
| ~ spl3_77
| ~ spl3_93
| ~ spl3_112
| ~ spl3_130 ),
inference(avatar_split_clause,[],[f12820,f1477,f817,f696,f627,f609,f252,f267,f272]) ).
fof(f12820,plain,
( e0 = e1
| e1 = e2
| e1 = e3
| ~ spl3_73
| ~ spl3_77
| ~ spl3_93
| ~ spl3_112
| ~ spl3_130 ),
inference(duplicate_literal_removal,[],[f12819]) ).
fof(f12819,plain,
( e0 = e1
| e1 = e2
| e1 = e3
| e0 = e1
| ~ spl3_73
| ~ spl3_77
| ~ spl3_93
| ~ spl3_112
| ~ spl3_130 ),
inference(forward_demodulation,[],[f12192,f697]) ).
fof(f12192,plain,
( e1 = e2
| e1 = e3
| e0 = e1
| e1 = op(e3,e2)
| ~ spl3_73
| ~ spl3_77
| ~ spl3_112
| ~ spl3_130 ),
inference(forward_demodulation,[],[f10482,f819]) ).
fof(f10482,plain,
( e1 = e3
| e0 = e1
| e1 = op(e3,e2)
| e1 = op(e3,e0)
| ~ spl3_73
| ~ spl3_77
| ~ spl3_130 ),
inference(forward_demodulation,[],[f10481,f10376]) ).
fof(f10376,plain,
( e3 = op(e3,e1)
| ~ spl3_73
| ~ spl3_130 ),
inference(superposition,[],[f611,f1478]) ).
fof(f10481,plain,
( e0 = e1
| e1 = op(e3,e2)
| e1 = op(e3,e1)
| e1 = op(e3,e0)
| ~ spl3_77 ),
inference(forward_demodulation,[],[f141,f628]) ).
fof(f12875,plain,
( spl3_126
| ~ spl3_73
| ~ spl3_130 ),
inference(avatar_split_clause,[],[f11068,f1477,f609,f1126]) ).
fof(f11068,plain,
( e3 = op(e3,e1)
| ~ spl3_73
| ~ spl3_130 ),
inference(forward_demodulation,[],[f611,f1478]) ).
fof(f12784,plain,
( spl3_90
| ~ spl3_73
| ~ spl3_97
| ~ spl3_112 ),
inference(avatar_split_clause,[],[f5125,f817,f713,f609,f683]) ).
fof(f5125,plain,
( e0 = op(e1,e2)
| ~ spl3_73
| ~ spl3_97
| ~ spl3_112 ),
inference(forward_demodulation,[],[f714,f5113]) ).
fof(f5113,plain,
( e2 = e3
| ~ spl3_73
| ~ spl3_97
| ~ spl3_112 ),
inference(forward_demodulation,[],[f4074,f819]) ).
fof(f4074,plain,
( e3 = op(e3,e0)
| ~ spl3_73
| ~ spl3_97 ),
inference(superposition,[],[f611,f714]) ).
fof(f12772,plain,
( spl3_87
| spl3_2
| spl3_6
| spl3_4
| ~ spl3_105
| ~ spl3_109
| ~ spl3_128 ),
inference(avatar_split_clause,[],[f12767,f1189,f799,f757,f267,f277,f257,f670]) ).
fof(f12767,plain,
( e1 = e2
| e2 = e3
| e0 = e2
| e2 = op(e1,e3)
| ~ spl3_105
| ~ spl3_109
| ~ spl3_128 ),
inference(forward_demodulation,[],[f12766,f759]) ).
fof(f12765,plain,
( spl3_109
| spl3_97
| spl3_1
| spl3_3
| ~ spl3_105
| ~ spl3_128 ),
inference(avatar_split_clause,[],[f10992,f1189,f757,f262,f252,f713,f799]) ).
fof(f10992,plain,
( e0 = e3
| e0 = e1
| e0 = op(e1,e3)
| e0 = op(e1,e1)
| ~ spl3_105
| ~ spl3_128 ),
inference(forward_demodulation,[],[f10614,f1191]) ).
fof(f10614,plain,
( e0 = e1
| e0 = op(e1,e3)
| e0 = op(e1,e2)
| e0 = op(e1,e1)
| ~ spl3_105 ),
inference(forward_demodulation,[],[f123,f759]) ).
fof(f12752,plain,
( spl3_135
| spl3_6
| spl3_3
| spl3_5
| ~ spl3_93
| ~ spl3_112
| ~ spl3_125 ),
inference(avatar_split_clause,[],[f12745,f1100,f817,f696,f272,f262,f277,f2944]) ).
fof(f12745,plain,
( e1 = e3
| e0 = e3
| e2 = e3
| e3 = op(e3,e3)
| ~ spl3_93
| ~ spl3_112
| ~ spl3_125 ),
inference(forward_demodulation,[],[f12744,f1102]) ).
fof(f12744,plain,
( e0 = e3
| e2 = e3
| e3 = op(e3,e3)
| e3 = op(e3,e1)
| ~ spl3_93
| ~ spl3_112 ),
inference(forward_demodulation,[],[f10938,f697]) ).
fof(f10938,plain,
( e2 = e3
| e3 = op(e3,e3)
| e3 = op(e3,e2)
| e3 = op(e3,e1)
| ~ spl3_112 ),
inference(forward_demodulation,[],[f145,f819]) ).
fof(f12743,plain,
( spl3_77
| spl3_2
| spl3_3
| spl3_1
| ~ spl3_69
| ~ spl3_104
| ~ spl3_128
| ~ spl3_137 ),
inference(avatar_split_clause,[],[f12732,f10132,f1189,f744,f589,f252,f262,f257,f627]) ).
fof(f12732,plain,
( e0 = e1
| e0 = e3
| e0 = e2
| e0 = op(e3,e3)
| ~ spl3_69
| ~ spl3_104
| ~ spl3_128
| ~ spl3_137 ),
inference(forward_demodulation,[],[f12731,f746]) ).
fof(f12731,plain,
( e0 = e3
| e0 = e2
| e0 = op(e3,e3)
| e0 = op(e0,e3)
| ~ spl3_69
| ~ spl3_128
| ~ spl3_137 ),
inference(forward_demodulation,[],[f12512,f10134]) ).
fof(f12512,plain,
( e0 = e2
| e0 = op(e3,e3)
| e0 = op(e1,e3)
| e0 = op(e0,e3)
| ~ spl3_69
| ~ spl3_128 ),
inference(forward_demodulation,[],[f140,f12195]) ).
fof(f12195,plain,
( e2 = op(e2,e3)
| ~ spl3_69
| ~ spl3_128 ),
inference(forward_demodulation,[],[f591,f1191]) ).
fof(f12741,plain,
( spl3_77
| spl3_2
| spl3_3
| spl3_1
| ~ spl3_70
| ~ spl3_112
| ~ spl3_125
| ~ spl3_136 ),
inference(avatar_split_clause,[],[f12730,f3629,f1100,f817,f594,f252,f262,f257,f627]) ).
fof(f12730,plain,
( e0 = e1
| e0 = e3
| e0 = e2
| e0 = op(e3,e3)
| ~ spl3_70
| ~ spl3_112
| ~ spl3_125
| ~ spl3_136 ),
inference(forward_demodulation,[],[f12594,f1102]) ).
fof(f12594,plain,
( e0 = e3
| e0 = e2
| e0 = op(e3,e3)
| e0 = op(e3,e1)
| ~ spl3_70
| ~ spl3_112
| ~ spl3_136 ),
inference(forward_demodulation,[],[f2902,f12592]) ).
fof(f12729,plain,
( spl3_1
| ~ spl3_105
| ~ spl3_118 ),
inference(avatar_split_clause,[],[f9750,f950,f757,f252]) ).
fof(f9750,plain,
( e0 = e1
| ~ spl3_105
| ~ spl3_118 ),
inference(forward_demodulation,[],[f759,f952]) ).
fof(f12722,plain,
( spl3_118
| ~ spl3_73
| ~ spl3_77
| ~ spl3_137 ),
inference(avatar_split_clause,[],[f12721,f10132,f627,f609,f950]) ).
fof(f12718,plain,
( spl3_137
| spl3_3
| spl3_6
| spl3_5
| ~ spl3_77
| ~ spl3_104
| ~ spl3_136 ),
inference(avatar_split_clause,[],[f12693,f3629,f744,f627,f272,f277,f262,f10132]) ).
fof(f12693,plain,
( e1 = e3
| e2 = e3
| e0 = e3
| e3 = op(e1,e3)
| ~ spl3_77
| ~ spl3_104
| ~ spl3_136 ),
inference(forward_demodulation,[],[f12692,f746]) ).
fof(f12692,plain,
( e2 = e3
| e0 = e3
| e3 = op(e1,e3)
| e3 = op(e0,e3)
| ~ spl3_77
| ~ spl3_136 ),
inference(forward_demodulation,[],[f5851,f3630]) ).
fof(f12716,plain,
( ~ spl3_94
| spl3_20
| ~ spl3_80 ),
inference(avatar_split_clause,[],[f6657,f640,f347,f700]) ).
fof(f347,plain,
( spl3_20
<=> op(e0,e2) = op(e2,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_20])]) ).
fof(f6657,plain,
( e1 != op(e0,e2)
| spl3_20
| ~ spl3_80 ),
inference(superposition,[],[f349,f641]) ).
fof(f349,plain,
( op(e0,e2) != op(e2,e2)
| spl3_20 ),
inference(avatar_component_clause,[],[f347]) ).
fof(f12706,plain,
( spl3_93
| spl3_3
| spl3_2
| spl3_1
| ~ spl3_80
| ~ spl3_107
| ~ spl3_128 ),
inference(avatar_split_clause,[],[f12622,f1189,f770,f640,f252,f257,f262,f696]) ).
fof(f12622,plain,
( e0 = e1
| e0 = e2
| e0 = e3
| e0 = op(e3,e2)
| ~ spl3_80
| ~ spl3_107
| ~ spl3_128 ),
inference(forward_demodulation,[],[f2095,f641]) ).
fof(f2095,plain,
( e0 = e2
| e0 = e3
| e0 = op(e3,e2)
| e0 = op(e2,e2)
| ~ spl3_107
| ~ spl3_128 ),
inference(forward_demodulation,[],[f2094,f772]) ).
fof(f2094,plain,
( e0 = e3
| e0 = op(e3,e2)
| e0 = op(e2,e2)
| e0 = op(e0,e2)
| ~ spl3_128 ),
inference(forward_demodulation,[],[f132,f1191]) ).
fof(f12704,plain,
( spl3_3
| spl3_6
| spl3_5
| ~ spl3_77
| ~ spl3_112
| ~ spl3_125
| ~ spl3_132 ),
inference(avatar_split_clause,[],[f12688,f1487,f1100,f817,f627,f272,f277,f262]) ).
fof(f12688,plain,
( e1 = e3
| e2 = e3
| e0 = e3
| ~ spl3_77
| ~ spl3_112
| ~ spl3_125
| ~ spl3_132 ),
inference(forward_demodulation,[],[f12137,f1102]) ).
fof(f12137,plain,
( e2 = e3
| e0 = e3
| e3 = op(e3,e1)
| ~ spl3_77
| ~ spl3_112
| ~ spl3_132 ),
inference(duplicate_literal_removal,[],[f12136]) ).
fof(f12136,plain,
( e2 = e3
| e0 = e3
| e2 = e3
| e3 = op(e3,e1)
| ~ spl3_77
| ~ spl3_112
| ~ spl3_132 ),
inference(forward_demodulation,[],[f12135,f819]) ).
fof(f12686,plain,
( spl3_77
| spl3_1
| spl3_2
| ~ spl3_112
| ~ spl3_125
| ~ spl3_132 ),
inference(avatar_split_clause,[],[f12659,f1487,f1100,f817,f257,f252,f627]) ).
fof(f12659,plain,
( e0 = e2
| e0 = e1
| e0 = op(e3,e3)
| ~ spl3_112
| ~ spl3_125
| ~ spl3_132 ),
inference(duplicate_literal_removal,[],[f12658]) ).
fof(f12658,plain,
( e0 = e2
| e0 = e2
| e0 = e1
| e0 = op(e3,e3)
| ~ spl3_112
| ~ spl3_125
| ~ spl3_132 ),
inference(forward_demodulation,[],[f8137,f819]) ).
fof(f8137,plain,
( e0 = e2
| e0 = e1
| e0 = op(e3,e3)
| e0 = op(e3,e0)
| ~ spl3_125
| ~ spl3_132 ),
inference(forward_demodulation,[],[f1756,f1489]) ).
fof(f1756,plain,
( e0 = e1
| e0 = op(e3,e3)
| e0 = op(e3,e2)
| e0 = op(e3,e0)
| ~ spl3_125 ),
inference(forward_demodulation,[],[f139,f1102]) ).
fof(f12678,plain,
( spl3_5
| spl3_6
| ~ spl3_83
| ~ spl3_112
| ~ spl3_125
| ~ spl3_132 ),
inference(avatar_split_clause,[],[f12663,f1487,f1100,f817,f653,f277,f272]) ).
fof(f12663,plain,
( e2 = e3
| e1 = e3
| ~ spl3_83
| ~ spl3_112
| ~ spl3_125
| ~ spl3_132 ),
inference(duplicate_literal_removal,[],[f12662]) ).
fof(f12662,plain,
( e2 = e3
| e1 = e3
| e2 = e3
| ~ spl3_83
| ~ spl3_112
| ~ spl3_125
| ~ spl3_132 ),
inference(forward_demodulation,[],[f12661,f819]) ).
fof(f12661,plain,
( e1 = e3
| e2 = e3
| e3 = op(e3,e0)
| ~ spl3_83
| ~ spl3_125
| ~ spl3_132 ),
inference(duplicate_literal_removal,[],[f12660]) ).
fof(f12660,plain,
( e1 = e3
| e2 = e3
| e1 = e3
| e3 = op(e3,e0)
| ~ spl3_83
| ~ spl3_125
| ~ spl3_132 ),
inference(forward_demodulation,[],[f7209,f654]) ).
fof(f7209,plain,
( e2 = e3
| e1 = e3
| e3 = op(e3,e3)
| e3 = op(e3,e0)
| ~ spl3_125
| ~ spl3_132 ),
inference(forward_demodulation,[],[f3034,f1489]) ).
fof(f3034,plain,
( e1 = e3
| e3 = op(e3,e3)
| e3 = op(e3,e2)
| e3 = op(e3,e0)
| ~ spl3_125 ),
inference(forward_demodulation,[],[f145,f1102]) ).
fof(f12676,plain,
( ~ spl3_96
| spl3_30
| ~ spl3_83 ),
inference(avatar_split_clause,[],[f5342,f653,f397,f709]) ).
fof(f5342,plain,
( e1 != op(e2,e3)
| spl3_30
| ~ spl3_83 ),
inference(superposition,[],[f399,f654]) ).
fof(f12644,plain,
( spl3_97
| spl3_3
| spl3_1
| ~ spl3_105
| ~ spl3_123
| ~ spl3_128 ),
inference(avatar_split_clause,[],[f12491,f1189,f1092,f757,f252,f262,f713]) ).
fof(f12491,plain,
( e0 = e1
| e0 = e3
| e0 = op(e1,e3)
| ~ spl3_105
| ~ spl3_123
| ~ spl3_128 ),
inference(duplicate_literal_removal,[],[f12490]) ).
fof(f12490,plain,
( e0 = e1
| e0 = e1
| e0 = e3
| e0 = op(e1,e3)
| ~ spl3_105
| ~ spl3_123
| ~ spl3_128 ),
inference(forward_demodulation,[],[f4201,f759]) ).
fof(f4201,plain,
( e0 = e1
| e0 = e3
| e0 = op(e1,e3)
| e0 = op(e1,e0)
| ~ spl3_123
| ~ spl3_128 ),
inference(forward_demodulation,[],[f1314,f1094]) ).
fof(f1314,plain,
( e0 = e3
| e0 = op(e1,e3)
| e0 = op(e1,e1)
| e0 = op(e1,e0)
| ~ spl3_128 ),
inference(forward_demodulation,[],[f123,f1191]) ).
fof(f12614,plain,
( spl3_2
| ~ spl3_93
| ~ spl3_132 ),
inference(avatar_split_clause,[],[f12613,f1487,f696,f257]) ).
fof(f12613,plain,
( e0 = e2
| ~ spl3_93
| ~ spl3_132 ),
inference(forward_demodulation,[],[f1489,f697]) ).
fof(f12607,plain,
( spl3_132
| spl3_6
| spl3_4
| ~ spl3_80
| ~ spl3_94
| ~ spl3_128 ),
inference(avatar_split_clause,[],[f12355,f1189,f700,f640,f267,f277,f1487]) ).
fof(f12355,plain,
( e1 = e2
| e2 = e3
| e2 = op(e3,e2)
| ~ spl3_80
| ~ spl3_94
| ~ spl3_128 ),
inference(duplicate_literal_removal,[],[f1823]) ).
fof(f1823,plain,
( e1 = e2
| e2 = e3
| e1 = e2
| e2 = op(e3,e2)
| ~ spl3_80
| ~ spl3_94
| ~ spl3_128 ),
inference(forward_demodulation,[],[f1822,f701]) ).
fof(f1822,plain,
( e2 = e3
| e1 = e2
| e2 = op(e3,e2)
| e2 = op(e0,e2)
| ~ spl3_80
| ~ spl3_128 ),
inference(forward_demodulation,[],[f1821,f1191]) ).
fof(f1821,plain,
( e1 = e2
| e2 = op(e3,e2)
| e2 = op(e1,e2)
| e2 = op(e0,e2)
| ~ spl3_80 ),
inference(forward_demodulation,[],[f136,f641]) ).
fof(f12593,plain,
( spl3_93
| spl3_3
| spl3_1
| ~ spl3_80
| ~ spl3_94
| ~ spl3_128 ),
inference(avatar_split_clause,[],[f12353,f1189,f700,f640,f252,f262,f696]) ).
fof(f12353,plain,
( e0 = e1
| e0 = e3
| e0 = op(e3,e2)
| ~ spl3_80
| ~ spl3_94
| ~ spl3_128 ),
inference(duplicate_literal_removal,[],[f1715]) ).
fof(f1715,plain,
( e0 = e1
| e0 = e3
| e0 = e1
| e0 = op(e3,e2)
| ~ spl3_80
| ~ spl3_94
| ~ spl3_128 ),
inference(forward_demodulation,[],[f1714,f701]) ).
fof(f1714,plain,
( e0 = e3
| e0 = e1
| e0 = op(e3,e2)
| e0 = op(e0,e2)
| ~ spl3_80
| ~ spl3_128 ),
inference(forward_demodulation,[],[f1713,f1191]) ).
fof(f1713,plain,
( e0 = e1
| e0 = op(e3,e2)
| e0 = op(e1,e2)
| e0 = op(e0,e2)
| ~ spl3_80 ),
inference(forward_demodulation,[],[f132,f641]) ).
fof(f12587,plain,
( ~ spl3_100
| spl3_61
| ~ spl3_112 ),
inference(avatar_split_clause,[],[f12345,f817,f549,f726]) ).
fof(f12345,plain,
( e0 != op(e0,e2)
| spl3_61
| ~ spl3_112 ),
inference(forward_demodulation,[],[f550,f819]) ).
fof(f12579,plain,
( spl3_136
| ~ spl3_69
| ~ spl3_128 ),
inference(avatar_split_clause,[],[f12195,f1189,f589,f3629]) ).
fof(f12575,plain,
( spl3_99
| ~ spl3_58
| ~ spl3_105 ),
inference(avatar_split_clause,[],[f11982,f757,f535,f722]) ).
fof(f11982,plain,
( e0 = op(e0,e1)
| ~ spl3_58
| ~ spl3_105 ),
inference(forward_demodulation,[],[f537,f759]) ).
fof(f12479,plain,
( spl3_6
| ~ spl3_60
| ~ spl3_71
| ~ spl3_112
| ~ spl3_113 ),
inference(avatar_split_clause,[],[f12379,f835,f817,f599,f544,f277]) ).
fof(f12379,plain,
( e2 = e3
| ~ spl3_60
| ~ spl3_71
| ~ spl3_112
| ~ spl3_113 ),
inference(forward_demodulation,[],[f12378,f819]) ).
fof(f12378,plain,
( e3 = op(e3,e0)
| ~ spl3_60
| ~ spl3_71
| ~ spl3_113 ),
inference(forward_demodulation,[],[f601,f11986]) ).
fof(f12352,plain,
( spl3_6
| ~ spl3_69
| ~ spl3_115
| ~ spl3_119 ),
inference(avatar_split_clause,[],[f12284,f1019,f896,f589,f277]) ).
fof(f12284,plain,
( e2 = e3
| ~ spl3_69
| ~ spl3_115
| ~ spl3_119 ),
inference(forward_demodulation,[],[f897,f10243]) ).
fof(f12261,plain,
( spl3_5
| spl3_4
| spl3_1
| ~ spl3_77
| ~ spl3_112
| ~ spl3_126
| ~ spl3_132 ),
inference(avatar_split_clause,[],[f12145,f1487,f1126,f817,f627,f252,f267,f272]) ).
fof(f12145,plain,
( e0 = e1
| e1 = e2
| e1 = e3
| ~ spl3_77
| ~ spl3_112
| ~ spl3_126
| ~ spl3_132 ),
inference(forward_demodulation,[],[f11140,f628]) ).
fof(f11140,plain,
( e1 = e2
| e1 = e3
| e1 = op(e3,e3)
| ~ spl3_112
| ~ spl3_126
| ~ spl3_132 ),
inference(duplicate_literal_removal,[],[f11139]) ).
fof(f11139,plain,
( e1 = e2
| e1 = e2
| e1 = e3
| e1 = op(e3,e3)
| ~ spl3_112
| ~ spl3_126
| ~ spl3_132 ),
inference(forward_demodulation,[],[f8484,f819]) ).
fof(f12258,plain,
( ~ spl3_129
| spl3_70
| ~ spl3_136 ),
inference(avatar_split_clause,[],[f6721,f3629,f594,f1193]) ).
fof(f6721,plain,
( e3 != op(e3,e2)
| spl3_70
| ~ spl3_136 ),
inference(forward_demodulation,[],[f595,f3630]) ).
fof(f12109,plain,
( spl3_5
| spl3_1
| ~ spl3_60
| ~ spl3_77
| ~ spl3_97
| ~ spl3_113
| ~ spl3_127 ),
inference(avatar_split_clause,[],[f12092,f1150,f835,f713,f627,f544,f252,f272]) ).
fof(f12092,plain,
( e0 = e1
| e1 = e3
| ~ spl3_60
| ~ spl3_77
| ~ spl3_97
| ~ spl3_113
| ~ spl3_127 ),
inference(duplicate_literal_removal,[],[f12091]) ).
fof(f12091,plain,
( e0 = e1
| e0 = e1
| e1 = e3
| ~ spl3_60
| ~ spl3_77
| ~ spl3_97
| ~ spl3_113
| ~ spl3_127 ),
inference(forward_demodulation,[],[f12090,f11986]) ).
fof(f12090,plain,
( e0 = e1
| e1 = e3
| e1 = op(e0,e3)
| ~ spl3_77
| ~ spl3_97
| ~ spl3_127 ),
inference(duplicate_literal_removal,[],[f12089]) ).
fof(f12089,plain,
( e0 = e1
| e0 = e1
| e1 = e3
| e1 = op(e0,e3)
| ~ spl3_77
| ~ spl3_97
| ~ spl3_127 ),
inference(forward_demodulation,[],[f9208,f628]) ).
fof(f9208,plain,
( e0 = e1
| e1 = e3
| e1 = op(e3,e3)
| e1 = op(e0,e3)
| ~ spl3_97
| ~ spl3_127 ),
inference(forward_demodulation,[],[f5974,f714]) ).
fof(f12078,plain,
( spl3_97
| spl3_3
| spl3_1
| ~ spl3_86
| ~ spl3_105
| ~ spl3_128 ),
inference(avatar_split_clause,[],[f12053,f1189,f757,f666,f252,f262,f713]) ).
fof(f12053,plain,
( e0 = e1
| e0 = e3
| e0 = op(e1,e3)
| ~ spl3_86
| ~ spl3_105
| ~ spl3_128 ),
inference(forward_demodulation,[],[f11475,f759]) ).
fof(f11475,plain,
( e0 = e3
| e0 = op(e1,e3)
| e0 = op(e1,e0)
| ~ spl3_86
| ~ spl3_128 ),
inference(duplicate_literal_removal,[],[f2338]) ).
fof(f2338,plain,
( e0 = e3
| e0 = e3
| e0 = op(e1,e3)
| e0 = op(e1,e0)
| ~ spl3_86
| ~ spl3_128 ),
inference(forward_demodulation,[],[f1314,f667]) ).
fof(f12044,plain,
( spl3_100
| ~ spl3_93
| ~ spl3_129 ),
inference(avatar_split_clause,[],[f12043,f1193,f696,f726]) ).
fof(f12043,plain,
( e0 = op(e0,e2)
| ~ spl3_93
| ~ spl3_129 ),
inference(forward_demodulation,[],[f697,f4430]) ).
fof(f12042,plain,
( spl3_93
| spl3_2
| spl3_1
| ~ spl3_80
| ~ spl3_94
| ~ spl3_122 ),
inference(avatar_split_clause,[],[f12022,f1072,f700,f640,f252,f257,f696]) ).
fof(f12022,plain,
( e0 = e1
| e0 = e2
| e0 = op(e3,e2)
| ~ spl3_80
| ~ spl3_94
| ~ spl3_122 ),
inference(duplicate_literal_removal,[],[f12021]) ).
fof(f12021,plain,
( e0 = e1
| e0 = e1
| e0 = e2
| e0 = op(e3,e2)
| ~ spl3_80
| ~ spl3_94
| ~ spl3_122 ),
inference(forward_demodulation,[],[f12020,f701]) ).
fof(f12020,plain,
( e0 = e1
| e0 = e2
| e0 = op(e3,e2)
| e0 = op(e0,e2)
| ~ spl3_80
| ~ spl3_122 ),
inference(forward_demodulation,[],[f11238,f641]) ).
fof(f11238,plain,
( e0 = e2
| e0 = op(e3,e2)
| e0 = op(e2,e2)
| e0 = op(e0,e2)
| ~ spl3_122 ),
inference(forward_demodulation,[],[f132,f1074]) ).
fof(f12013,plain,
( spl3_132
| spl3_2
| spl3_4
| ~ spl3_80
| ~ spl3_90
| ~ spl3_94 ),
inference(avatar_split_clause,[],[f11996,f700,f683,f640,f267,f257,f1487]) ).
fof(f11996,plain,
( e1 = e2
| e0 = e2
| e2 = op(e3,e2)
| ~ spl3_80
| ~ spl3_90
| ~ spl3_94 ),
inference(duplicate_literal_removal,[],[f11995]) ).
fof(f11995,plain,
( e1 = e2
| e1 = e2
| e0 = e2
| e2 = op(e3,e2)
| ~ spl3_80
| ~ spl3_90
| ~ spl3_94 ),
inference(forward_demodulation,[],[f9586,f701]) ).
fof(f9586,plain,
( e1 = e2
| e0 = e2
| e2 = op(e3,e2)
| e2 = op(e0,e2)
| ~ spl3_80
| ~ spl3_90 ),
inference(forward_demodulation,[],[f5858,f641]) ).
fof(f5858,plain,
( e0 = e2
| e2 = op(e3,e2)
| e2 = op(e2,e2)
| e2 = op(e0,e2)
| ~ spl3_90 ),
inference(forward_demodulation,[],[f136,f684]) ).
fof(f12006,plain,
( ~ spl3_110
| spl3_66
| ~ spl3_80 ),
inference(avatar_split_clause,[],[f6433,f640,f574,f808]) ).
fof(f6433,plain,
( e2 != op(e2,e1)
| spl3_66
| ~ spl3_80 ),
inference(forward_demodulation,[],[f575,f641]) ).
fof(f575,plain,
( e2 != op(e2,op(e2,e2))
| spl3_66 ),
inference(avatar_component_clause,[],[f574]) ).
fof(f11994,plain,
( spl3_2
| ~ spl3_62
| ~ spl3_90
| ~ spl3_110
| ~ spl3_116 ),
inference(avatar_split_clause,[],[f11993,f902,f808,f683,f554,f257]) ).
fof(f11993,plain,
( e0 = e2
| ~ spl3_62
| ~ spl3_90
| ~ spl3_110
| ~ spl3_116 ),
inference(forward_demodulation,[],[f11992,f904]) ).
fof(f11992,plain,
( e2 = op(e2,e0)
| ~ spl3_62
| ~ spl3_90
| ~ spl3_110 ),
inference(forward_demodulation,[],[f809,f11991]) ).
fof(f11991,plain,
( e0 = e1
| ~ spl3_62
| ~ spl3_90
| ~ spl3_110 ),
inference(forward_demodulation,[],[f4088,f684]) ).
fof(f11987,plain,
( spl3_110
| ~ spl3_67
| ~ spl3_94 ),
inference(avatar_split_clause,[],[f752,f700,f579,f808]) ).
fof(f752,plain,
( e2 = op(e2,e1)
| ~ spl3_67
| ~ spl3_94 ),
inference(superposition,[],[f581,f701]) ).
fof(f581,plain,
( e2 = op(e2,op(e0,e2))
| ~ spl3_67 ),
inference(avatar_component_clause,[],[f579]) ).
fof(f11984,plain,
( ~ spl3_130
| spl3_65
| ~ spl3_86 ),
inference(avatar_split_clause,[],[f11531,f666,f569,f1477]) ).
fof(f11981,plain,
( ~ spl3_99
| spl3_58
| ~ spl3_63
| ~ spl3_99 ),
inference(avatar_split_clause,[],[f2757,f722,f559,f535,f722]) ).
fof(f2757,plain,
( e0 != op(e0,e1)
| spl3_58
| ~ spl3_63
| ~ spl3_99 ),
inference(forward_demodulation,[],[f536,f832]) ).
fof(f832,plain,
( e1 = op(e1,e0)
| ~ spl3_63
| ~ spl3_99 ),
inference(superposition,[],[f561,f724]) ).
fof(f11952,plain,
( spl3_5
| ~ spl3_102
| ~ spl3_113 ),
inference(avatar_split_clause,[],[f11925,f835,f736,f272]) ).
fof(f11925,plain,
( e1 = e3
| ~ spl3_102
| ~ spl3_113 ),
inference(superposition,[],[f837,f738]) ).
fof(f11919,plain,
( spl3_2
| ~ spl3_67
| ~ spl3_81
| ~ spl3_94 ),
inference(avatar_split_clause,[],[f4485,f700,f644,f579,f257]) ).
fof(f4485,plain,
( e0 = e2
| ~ spl3_67
| ~ spl3_81
| ~ spl3_94 ),
inference(forward_demodulation,[],[f752,f645]) ).
fof(f11865,plain,
( spl3_3
| ~ spl3_63
| ~ spl3_71
| ~ spl3_85
| ~ spl3_90
| ~ spl3_104
| ~ spl3_125 ),
inference(avatar_split_clause,[],[f11813,f1100,f744,f683,f661,f599,f559,f262]) ).
fof(f11813,plain,
( e0 = e3
| ~ spl3_63
| ~ spl3_71
| ~ spl3_85
| ~ spl3_90
| ~ spl3_104
| ~ spl3_125 ),
inference(forward_demodulation,[],[f11661,f5028]) ).
fof(f5028,plain,
( e0 = e1
| ~ spl3_63
| ~ spl3_85
| ~ spl3_90 ),
inference(forward_demodulation,[],[f795,f684]) ).
fof(f795,plain,
( e1 = op(e1,e2)
| ~ spl3_63
| ~ spl3_85 ),
inference(superposition,[],[f561,f662]) ).
fof(f11661,plain,
( e1 = e3
| ~ spl3_71
| ~ spl3_104
| ~ spl3_125 ),
inference(forward_demodulation,[],[f7533,f1102]) ).
fof(f7533,plain,
( e3 = op(e3,e1)
| ~ spl3_71
| ~ spl3_104 ),
inference(forward_demodulation,[],[f601,f746]) ).
fof(f11779,plain,
( spl3_4
| ~ spl3_79
| ~ spl3_105 ),
inference(avatar_split_clause,[],[f11687,f757,f635,f267]) ).
fof(f11687,plain,
( e1 = e2
| ~ spl3_79
| ~ spl3_105 ),
inference(forward_demodulation,[],[f636,f759]) ).
fof(f11704,plain,
( spl3_1
| ~ spl3_81
| ~ spl3_127
| ~ spl3_129
| ~ spl3_134 ),
inference(avatar_split_clause,[],[f11627,f2369,f1193,f1150,f644,f252]) ).
fof(f11627,plain,
( e0 = e1
| ~ spl3_81
| ~ spl3_127
| ~ spl3_129
| ~ spl3_134 ),
inference(forward_demodulation,[],[f8647,f645]) ).
fof(f8647,plain,
( e1 = op(e2,e1)
| ~ spl3_127
| ~ spl3_129
| ~ spl3_134 ),
inference(forward_demodulation,[],[f1152,f4095]) ).
fof(f11546,plain,
( ~ spl3_107
| spl3_20
| ~ spl3_133 ),
inference(avatar_split_clause,[],[f2284,f2279,f347,f770]) ).
fof(f2284,plain,
( e2 != op(e0,e2)
| spl3_20
| ~ spl3_133 ),
inference(superposition,[],[f349,f2281]) ).
fof(f11543,plain,
( ~ spl3_123
| spl3_64
| ~ spl3_125 ),
inference(avatar_split_clause,[],[f8119,f1100,f564,f1092]) ).
fof(f8119,plain,
( e1 != op(e1,e1)
| spl3_64
| ~ spl3_125 ),
inference(forward_demodulation,[],[f565,f1102]) ).
fof(f11517,plain,
( spl3_1
| ~ spl3_65
| ~ spl3_86
| ~ spl3_97 ),
inference(avatar_split_clause,[],[f11494,f713,f666,f569,f252]) ).
fof(f11494,plain,
( e0 = e1
| ~ spl3_65
| ~ spl3_86
| ~ spl3_97 ),
inference(forward_demodulation,[],[f10887,f714]) ).
fof(f10887,plain,
( e1 = op(e1,e3)
| ~ spl3_65
| ~ spl3_86 ),
inference(forward_demodulation,[],[f571,f667]) ).
fof(f11474,plain,
( spl3_6
| spl3_2
| spl3_4
| ~ spl3_97
| ~ spl3_105
| ~ spl3_123
| ~ spl3_128 ),
inference(avatar_split_clause,[],[f11466,f1189,f1092,f757,f713,f267,f257,f277]) ).
fof(f11466,plain,
( e1 = e2
| e0 = e2
| e2 = e3
| ~ spl3_97
| ~ spl3_105
| ~ spl3_123
| ~ spl3_128 ),
inference(duplicate_literal_removal,[],[f11465]) ).
fof(f11465,plain,
( e1 = e2
| e0 = e2
| e2 = e3
| e1 = e2
| ~ spl3_97
| ~ spl3_105
| ~ spl3_123
| ~ spl3_128 ),
inference(forward_demodulation,[],[f11464,f1094]) ).
fof(f11464,plain,
( e0 = e2
| e2 = e3
| e1 = e2
| e2 = op(e1,e1)
| ~ spl3_97
| ~ spl3_105
| ~ spl3_128 ),
inference(forward_demodulation,[],[f11096,f714]) ).
fof(f11459,plain,
( spl3_105
| ~ spl3_63
| ~ spl3_99 ),
inference(avatar_split_clause,[],[f832,f722,f559,f757]) ).
fof(f11354,plain,
( spl3_117
| spl3_1
| spl3_3
| spl3_2
| ~ spl3_105
| ~ spl3_106
| ~ spl3_120 ),
inference(avatar_split_clause,[],[f10994,f1035,f766,f757,f257,f262,f252,f906]) ).
fof(f10994,plain,
( e0 = e2
| e0 = e3
| e0 = e1
| e0 = op(e3,e0)
| ~ spl3_105
| ~ spl3_106
| ~ spl3_120 ),
inference(forward_demodulation,[],[f10908,f768]) ).
fof(f10908,plain,
( e0 = e3
| e0 = e1
| e0 = op(e3,e0)
| e0 = op(e0,e0)
| ~ spl3_105
| ~ spl3_120 ),
inference(forward_demodulation,[],[f10716,f1037]) ).
fof(f11347,plain,
( spl3_101
| ~ spl3_56
| ~ spl3_120 ),
inference(avatar_split_clause,[],[f10987,f1035,f526,f730]) ).
fof(f11345,plain,
( ~ spl3_100
| spl3_61
| ~ spl3_112 ),
inference(avatar_split_clause,[],[f10986,f817,f549,f726]) ).
fof(f10986,plain,
( e0 != op(e0,e2)
| spl3_61
| ~ spl3_112 ),
inference(forward_demodulation,[],[f550,f819]) ).
fof(f11333,plain,
( spl3_2
| ~ spl3_56
| ~ spl3_108
| ~ spl3_120 ),
inference(avatar_split_clause,[],[f11306,f1035,f774,f526,f257]) ).
fof(f11306,plain,
( e0 = e2
| ~ spl3_56
| ~ spl3_108
| ~ spl3_120 ),
inference(forward_demodulation,[],[f776,f10987]) ).
fof(f11307,plain,
( spl3_1
| ~ spl3_62
| ~ spl3_81
| ~ spl3_118 ),
inference(avatar_split_clause,[],[f9754,f950,f644,f554,f252]) ).
fof(f9754,plain,
( e0 = e1
| ~ spl3_62
| ~ spl3_81
| ~ spl3_118 ),
inference(forward_demodulation,[],[f7508,f952]) ).
fof(f7508,plain,
( e1 = op(e1,e0)
| ~ spl3_62
| ~ spl3_81 ),
inference(forward_demodulation,[],[f556,f645]) ).
fof(f11273,plain,
( spl3_3
| ~ spl3_91
| ~ spl3_98
| ~ spl3_106 ),
inference(avatar_split_clause,[],[f9626,f766,f718,f687,f262]) ).
fof(f9626,plain,
( e0 = e3
| ~ spl3_91
| ~ spl3_98
| ~ spl3_106 ),
inference(forward_demodulation,[],[f9625,f4253]) ).
fof(f9625,plain,
( e2 = e3
| ~ spl3_91
| ~ spl3_98
| ~ spl3_106 ),
inference(forward_demodulation,[],[f9624,f768]) ).
fof(f9624,plain,
( op(e0,e0) = e3
| ~ spl3_91
| ~ spl3_98
| ~ spl3_106 ),
inference(forward_demodulation,[],[f688,f4253]) ).
fof(f11240,plain,
( spl3_5
| spl3_6
| spl3_3
| ~ spl3_77
| ~ spl3_87
| ~ spl3_96
| ~ spl3_101 ),
inference(avatar_split_clause,[],[f11218,f730,f709,f670,f627,f262,f277,f272]) ).
fof(f11218,plain,
( e0 = e3
| e2 = e3
| e1 = e3
| ~ spl3_77
| ~ spl3_87
| ~ spl3_96
| ~ spl3_101 ),
inference(duplicate_literal_removal,[],[f11217]) ).
fof(f11217,plain,
( e0 = e3
| e2 = e3
| e1 = e3
| e0 = e3
| ~ spl3_77
| ~ spl3_87
| ~ spl3_96
| ~ spl3_101 ),
inference(forward_demodulation,[],[f7163,f732]) ).
fof(f7163,plain,
( e2 = e3
| e1 = e3
| e0 = e3
| e3 = op(e0,e3)
| ~ spl3_77
| ~ spl3_87
| ~ spl3_96 ),
inference(forward_demodulation,[],[f7162,f671]) ).
fof(f7162,plain,
( e1 = e3
| e0 = e3
| e3 = op(e1,e3)
| e3 = op(e0,e3)
| ~ spl3_77
| ~ spl3_96 ),
inference(forward_demodulation,[],[f5851,f710]) ).
fof(f11231,plain,
( spl3_111
| ~ spl3_66
| ~ spl3_74 ),
inference(avatar_split_clause,[],[f1146,f614,f574,f813]) ).
fof(f1146,plain,
( e2 = op(e2,e0)
| ~ spl3_66
| ~ spl3_74 ),
inference(superposition,[],[f576,f615]) ).
fof(f11216,plain,
( spl3_87
| spl3_4
| spl3_2
| ~ spl3_77
| ~ spl3_96
| ~ spl3_101 ),
inference(avatar_split_clause,[],[f10523,f730,f709,f627,f257,f267,f670]) ).
fof(f10523,plain,
( e0 = e2
| e1 = e2
| e2 = op(e1,e3)
| ~ spl3_77
| ~ spl3_96
| ~ spl3_101 ),
inference(duplicate_literal_removal,[],[f10522]) ).
fof(f10522,plain,
( e0 = e2
| e0 = e2
| e1 = e2
| e2 = op(e1,e3)
| ~ spl3_77
| ~ spl3_96
| ~ spl3_101 ),
inference(forward_demodulation,[],[f10470,f732]) ).
fof(f10470,plain,
( e0 = e2
| e1 = e2
| e2 = op(e1,e3)
| e2 = op(e0,e3)
| ~ spl3_77
| ~ spl3_96 ),
inference(forward_demodulation,[],[f5742,f628]) ).
fof(f5742,plain,
( e1 = e2
| e2 = op(e3,e3)
| e2 = op(e1,e3)
| e2 = op(e0,e3)
| ~ spl3_96 ),
inference(forward_demodulation,[],[f144,f710]) ).
fof(f11163,plain,
( spl3_77
| spl3_3
| spl3_2
| ~ spl3_112
| ~ spl3_126
| ~ spl3_132 ),
inference(avatar_split_clause,[],[f11138,f1487,f1126,f817,f257,f262,f627]) ).
fof(f11138,plain,
( e0 = e2
| e0 = e3
| e0 = op(e3,e3)
| ~ spl3_112
| ~ spl3_126
| ~ spl3_132 ),
inference(duplicate_literal_removal,[],[f11137]) ).
fof(f11137,plain,
( e0 = e2
| e0 = e3
| e0 = e2
| e0 = op(e3,e3)
| ~ spl3_112
| ~ spl3_126
| ~ spl3_132 ),
inference(forward_demodulation,[],[f10237,f819]) ).
fof(f10237,plain,
( e0 = e3
| e0 = e2
| e0 = op(e3,e3)
| e0 = op(e3,e0)
| ~ spl3_126
| ~ spl3_132 ),
inference(forward_demodulation,[],[f7935,f1128]) ).
fof(f7935,plain,
( e0 = e2
| e0 = op(e3,e3)
| e0 = op(e3,e1)
| e0 = op(e3,e0)
| ~ spl3_132 ),
inference(forward_demodulation,[],[f139,f1489]) ).
fof(f11127,plain,
( spl3_132
| spl3_2
| spl3_6
| ~ spl3_74
| ~ spl3_91
| ~ spl3_128 ),
inference(avatar_split_clause,[],[f11106,f1189,f687,f614,f277,f257,f1487]) ).
fof(f11106,plain,
( e2 = e3
| e0 = e2
| e2 = op(e3,e2)
| ~ spl3_74
| ~ spl3_91
| ~ spl3_128 ),
inference(duplicate_literal_removal,[],[f11105]) ).
fof(f11105,plain,
( e2 = e3
| e2 = e3
| e0 = e2
| e2 = op(e3,e2)
| ~ spl3_74
| ~ spl3_91
| ~ spl3_128 ),
inference(forward_demodulation,[],[f11104,f688]) ).
fof(f11104,plain,
( e2 = e3
| e0 = e2
| e2 = op(e3,e2)
| e2 = op(e0,e2)
| ~ spl3_74
| ~ spl3_128 ),
inference(forward_demodulation,[],[f1235,f1191]) ).
fof(f1235,plain,
( e0 = e2
| e2 = op(e3,e2)
| e2 = op(e1,e2)
| e2 = op(e0,e2)
| ~ spl3_74 ),
inference(forward_demodulation,[],[f136,f615]) ).
fof(f11114,plain,
( spl3_134
| spl3_1
| spl3_5
| ~ spl3_74
| ~ spl3_91
| ~ spl3_128 ),
inference(avatar_split_clause,[],[f11102,f1189,f687,f614,f272,f252,f2369]) ).
fof(f11102,plain,
( e1 = e3
| e0 = e1
| e1 = op(e3,e2)
| ~ spl3_74
| ~ spl3_91
| ~ spl3_128 ),
inference(duplicate_literal_removal,[],[f11101]) ).
fof(f11101,plain,
( e1 = e3
| e0 = e1
| e1 = e3
| e1 = op(e3,e2)
| ~ spl3_74
| ~ spl3_91
| ~ spl3_128 ),
inference(forward_demodulation,[],[f8152,f688]) ).
fof(f8152,plain,
( e0 = e1
| e1 = e3
| e1 = op(e3,e2)
| e1 = op(e0,e2)
| ~ spl3_74
| ~ spl3_128 ),
inference(forward_demodulation,[],[f2099,f615]) ).
fof(f11098,plain,
( spl3_80
| spl3_1
| spl3_5
| ~ spl3_91
| ~ spl3_93
| ~ spl3_128 ),
inference(avatar_split_clause,[],[f11085,f1189,f696,f687,f272,f252,f640]) ).
fof(f11085,plain,
( e1 = e3
| e0 = e1
| e1 = op(e2,e2)
| ~ spl3_91
| ~ spl3_93
| ~ spl3_128 ),
inference(duplicate_literal_removal,[],[f11084]) ).
fof(f11084,plain,
( e1 = e3
| e1 = e3
| e0 = e1
| e1 = op(e2,e2)
| ~ spl3_91
| ~ spl3_93
| ~ spl3_128 ),
inference(forward_demodulation,[],[f11083,f688]) ).
fof(f11083,plain,
( e1 = e3
| e0 = e1
| e1 = op(e2,e2)
| e1 = op(e0,e2)
| ~ spl3_93
| ~ spl3_128 ),
inference(forward_demodulation,[],[f10264,f1191]) ).
fof(f10264,plain,
( e0 = e1
| e1 = op(e2,e2)
| e1 = op(e1,e2)
| e1 = op(e0,e2)
| ~ spl3_93 ),
inference(forward_demodulation,[],[f134,f697]) ).
fof(f11095,plain,
( ~ spl3_93
| ~ spl3_89
| ~ spl3_128 ),
inference(avatar_split_clause,[],[f11082,f1189,f679,f696]) ).
fof(f11082,plain,
( e0 != op(e3,e2)
| ~ spl3_89
| ~ spl3_128 ),
inference(trivial_inequality_removal,[],[f11081]) ).
fof(f11081,plain,
( e2 != e2
| e0 != op(e3,e2)
| ~ spl3_89
| ~ spl3_128 ),
inference(forward_demodulation,[],[f11080,f680]) ).
fof(f11080,plain,
( e0 != op(e3,e2)
| e2 != op(e1,e1)
| ~ spl3_128 ),
inference(trivial_inequality_removal,[],[f11079]) ).
fof(f11079,plain,
( e3 != e3
| e0 != op(e3,e2)
| e2 != op(e1,e1)
| ~ spl3_128 ),
inference(forward_demodulation,[],[f238,f1191]) ).
fof(f238,plain,
( e0 != op(e3,e2)
| e3 != op(e1,e2)
| e2 != op(e1,e1) ),
inference(inner_rewriting,[],[f237]) ).
fof(f237,plain,
( e0 != op(e3,op(e1,e1))
| e3 != op(e1,op(e1,e1))
| e2 != op(e1,e1) ),
inference(inner_rewriting,[],[f196]) ).
fof(f196,plain,
( e0 != op(op(e1,op(e1,e1)),op(e1,e1))
| e3 != op(e1,op(e1,e1))
| e2 != op(e1,e1) ),
inference(cnf_transformation,[],[f47]) ).
fof(f47,plain,
( e0 != op(op(e1,op(e1,e1)),op(e1,e1))
| e3 != op(e1,op(e1,e1))
| e2 != op(e1,e1) ),
inference(ennf_transformation,[],[f23]) ).
fof(f23,axiom,
~ ( e0 = op(op(e1,op(e1,e1)),op(e1,e1))
& e3 = op(e1,op(e1,e1))
& e2 = op(e1,e1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax23) ).
fof(f11078,plain,
( spl3_74
| spl3_93
| spl3_3
| ~ spl3_91
| ~ spl3_128 ),
inference(avatar_split_clause,[],[f10997,f1189,f687,f262,f696,f614]) ).
fof(f10997,plain,
( e0 = e3
| e0 = op(e3,e2)
| e0 = op(e2,e2)
| ~ spl3_91
| ~ spl3_128 ),
inference(duplicate_literal_removal,[],[f10996]) ).
fof(f10996,plain,
( e0 = e3
| e0 = e3
| e0 = op(e3,e2)
| e0 = op(e2,e2)
| ~ spl3_91
| ~ spl3_128 ),
inference(forward_demodulation,[],[f7890,f1191]) ).
fof(f7890,plain,
( e0 = e3
| e0 = op(e3,e2)
| e0 = op(e2,e2)
| e0 = op(e1,e2)
| ~ spl3_91 ),
inference(forward_demodulation,[],[f132,f688]) ).
fof(f11074,plain,
( spl3_92
| spl3_4
| spl3_2
| ~ spl3_96
| ~ spl3_101
| ~ spl3_130 ),
inference(avatar_split_clause,[],[f11011,f1477,f730,f709,f257,f267,f692]) ).
fof(f11011,plain,
( e0 = e2
| e1 = e2
| e2 = op(e3,e3)
| ~ spl3_96
| ~ spl3_101
| ~ spl3_130 ),
inference(forward_demodulation,[],[f11010,f732]) ).
fof(f11010,plain,
( e1 = e2
| e2 = op(e3,e3)
| e2 = op(e0,e3)
| ~ spl3_96
| ~ spl3_130 ),
inference(duplicate_literal_removal,[],[f11009]) ).
fof(f11009,plain,
( e1 = e2
| e1 = e2
| e2 = op(e3,e3)
| e2 = op(e0,e3)
| ~ spl3_96
| ~ spl3_130 ),
inference(forward_demodulation,[],[f5742,f1478]) ).
fof(f11072,plain,
( ~ spl3_113
| spl3_8
| ~ spl3_120 ),
inference(avatar_split_clause,[],[f6664,f1035,f287,f835]) ).
fof(f6664,plain,
( op(e0,e0) != e3
| spl3_8
| ~ spl3_120 ),
inference(superposition,[],[f289,f1037]) ).
fof(f11066,plain,
( ~ spl3_126
| spl3_73
| ~ spl3_130 ),
inference(avatar_split_clause,[],[f10886,f1477,f609,f1126]) ).
fof(f10886,plain,
( e3 != op(e3,e1)
| spl3_73
| ~ spl3_130 ),
inference(forward_demodulation,[],[f610,f1478]) ).
fof(f11064,plain,
( ~ spl3_119
| spl3_65
| ~ spl3_89 ),
inference(avatar_split_clause,[],[f10783,f679,f569,f1019]) ).
fof(f10783,plain,
( e1 != op(e1,e2)
| spl3_65
| ~ spl3_89 ),
inference(forward_demodulation,[],[f570,f680]) ).
fof(f10988,plain,
( spl3_2
| ~ spl3_66
| ~ spl3_80
| ~ spl3_81 ),
inference(avatar_split_clause,[],[f10959,f644,f640,f574,f257]) ).
fof(f10959,plain,
( e0 = e2
| ~ spl3_66
| ~ spl3_80
| ~ spl3_81 ),
inference(forward_demodulation,[],[f7505,f645]) ).
fof(f7505,plain,
( e2 = op(e2,e1)
| ~ spl3_66
| ~ spl3_80 ),
inference(forward_demodulation,[],[f576,f641]) ).
fof(f10930,plain,
( spl3_131
| spl3_2
| spl3_4
| spl3_6
| ~ spl3_81
| ~ spl3_86
| ~ spl3_103 ),
inference(avatar_split_clause,[],[f10831,f740,f666,f644,f277,f267,f257,f1483]) ).
fof(f10831,plain,
( e2 = e3
| e1 = e2
| e0 = e2
| e2 = op(e3,e1)
| ~ spl3_81
| ~ spl3_86
| ~ spl3_103 ),
inference(forward_demodulation,[],[f9455,f667]) ).
fof(f9455,plain,
( e1 = e2
| e0 = e2
| e2 = op(e3,e1)
| e2 = op(e1,e1)
| ~ spl3_81
| ~ spl3_103 ),
inference(forward_demodulation,[],[f4926,f742]) ).
fof(f4926,plain,
( e0 = e2
| e2 = op(e3,e1)
| e2 = op(e1,e1)
| e2 = op(e0,e1)
| ~ spl3_81 ),
inference(forward_demodulation,[],[f128,f645]) ).
fof(f10907,plain,
( spl3_77
| spl3_1
| spl3_2
| ~ spl3_108
| ~ spl3_130
| ~ spl3_136 ),
inference(avatar_split_clause,[],[f10796,f3629,f1477,f774,f257,f252,f627]) ).
fof(f10796,plain,
( e0 = e2
| e0 = e1
| e0 = op(e3,e3)
| ~ spl3_108
| ~ spl3_130
| ~ spl3_136 ),
inference(duplicate_literal_removal,[],[f10795]) ).
fof(f10795,plain,
( e0 = e2
| e0 = e1
| e0 = e2
| e0 = op(e3,e3)
| ~ spl3_108
| ~ spl3_130
| ~ spl3_136 ),
inference(forward_demodulation,[],[f10794,f776]) ).
fof(f10794,plain,
( e0 = e1
| e0 = e2
| e0 = op(e3,e3)
| e0 = op(e0,e3)
| ~ spl3_130
| ~ spl3_136 ),
inference(forward_demodulation,[],[f6747,f1478]) ).
fof(f6747,plain,
( e0 = e2
| e0 = op(e3,e3)
| e0 = op(e1,e3)
| e0 = op(e0,e3)
| ~ spl3_136 ),
inference(forward_demodulation,[],[f140,f3630]) ).
fof(f10906,plain,
( ~ spl3_126
| spl3_52
| ~ spl3_129 ),
inference(avatar_split_clause,[],[f4642,f1193,f507,f1126]) ).
fof(f4642,plain,
( e3 != op(e3,e1)
| spl3_52
| ~ spl3_129 ),
inference(superposition,[],[f509,f1195]) ).
fof(f10895,plain,
( spl3_135
| spl3_5
| spl3_6
| ~ spl3_108
| ~ spl3_130
| ~ spl3_136 ),
inference(avatar_split_clause,[],[f10793,f3629,f1477,f774,f277,f272,f2944]) ).
fof(f10793,plain,
( e2 = e3
| e1 = e3
| e3 = op(e3,e3)
| ~ spl3_108
| ~ spl3_130
| ~ spl3_136 ),
inference(duplicate_literal_removal,[],[f10792]) ).
fof(f10792,plain,
( e2 = e3
| e1 = e3
| e2 = e3
| e3 = op(e3,e3)
| ~ spl3_108
| ~ spl3_130
| ~ spl3_136 ),
inference(forward_demodulation,[],[f10791,f776]) ).
fof(f10791,plain,
( e1 = e3
| e2 = e3
| e3 = op(e3,e3)
| e3 = op(e0,e3)
| ~ spl3_130
| ~ spl3_136 ),
inference(forward_demodulation,[],[f6750,f1478]) ).
fof(f6750,plain,
( e2 = e3
| e3 = op(e3,e3)
| e3 = op(e1,e3)
| e3 = op(e0,e3)
| ~ spl3_136 ),
inference(forward_demodulation,[],[f146,f3630]) ).
fof(f10877,plain,
( spl3_130
| spl3_83
| spl3_4
| ~ spl3_108
| ~ spl3_136 ),
inference(avatar_split_clause,[],[f10865,f3629,f774,f267,f653,f1477]) ).
fof(f10865,plain,
( e1 = e2
| e1 = op(e3,e3)
| e1 = op(e1,e3)
| ~ spl3_108
| ~ spl3_136 ),
inference(duplicate_literal_removal,[],[f10864]) ).
fof(f10864,plain,
( e1 = e2
| e1 = e2
| e1 = op(e3,e3)
| e1 = op(e1,e3)
| ~ spl3_108
| ~ spl3_136 ),
inference(forward_demodulation,[],[f6742,f776]) ).
fof(f6742,plain,
( e1 = e2
| e1 = op(e3,e3)
| e1 = op(e1,e3)
| e1 = op(e0,e3)
| ~ spl3_136 ),
inference(forward_demodulation,[],[f142,f3630]) ).
fof(f10860,plain,
( ~ spl3_130
| spl3_65
| ~ spl3_86 ),
inference(avatar_split_clause,[],[f10499,f666,f569,f1477]) ).
fof(f10499,plain,
( e1 != op(e1,e3)
| spl3_65
| ~ spl3_86 ),
inference(forward_demodulation,[],[f570,f667]) ).
fof(f10825,plain,
( spl3_6
| ~ spl3_86
| ~ spl3_89 ),
inference(avatar_split_clause,[],[f8298,f679,f666,f277]) ).
fof(f8298,plain,
( e2 = e3
| ~ spl3_86
| ~ spl3_89 ),
inference(forward_demodulation,[],[f667,f680]) ).
fof(f10784,plain,
( spl3_132
| spl3_2
| spl3_4
| spl3_6
| ~ spl3_80
| ~ spl3_100
| ~ spl3_128 ),
inference(avatar_split_clause,[],[f10748,f1189,f726,f640,f277,f267,f257,f1487]) ).
fof(f10748,plain,
( e2 = e3
| e1 = e2
| e0 = e2
| e2 = op(e3,e2)
| ~ spl3_80
| ~ spl3_100
| ~ spl3_128 ),
inference(forward_demodulation,[],[f10004,f1191]) ).
fof(f10004,plain,
( e1 = e2
| e0 = e2
| e2 = op(e3,e2)
| e2 = op(e1,e2)
| ~ spl3_80
| ~ spl3_100 ),
inference(forward_demodulation,[],[f4935,f641]) ).
fof(f4935,plain,
( e0 = e2
| e2 = op(e3,e2)
| e2 = op(e2,e2)
| e2 = op(e1,e2)
| ~ spl3_100 ),
inference(forward_demodulation,[],[f136,f728]) ).
fof(f10782,plain,
( spl3_132
| spl3_4
| spl3_2
| ~ spl3_65
| ~ spl3_80
| ~ spl3_89
| ~ spl3_100 ),
inference(avatar_split_clause,[],[f10774,f726,f679,f640,f569,f257,f267,f1487]) ).
fof(f10774,plain,
( e0 = e2
| e1 = e2
| e2 = op(e3,e2)
| ~ spl3_65
| ~ spl3_80
| ~ spl3_89
| ~ spl3_100 ),
inference(forward_demodulation,[],[f10773,f728]) ).
fof(f10773,plain,
( e1 = e2
| e2 = op(e3,e2)
| e2 = op(e0,e2)
| ~ spl3_65
| ~ spl3_80
| ~ spl3_89 ),
inference(duplicate_literal_removal,[],[f10772]) ).
fof(f10772,plain,
( e1 = e2
| e1 = e2
| e2 = op(e3,e2)
| e2 = op(e0,e2)
| ~ spl3_65
| ~ spl3_80
| ~ spl3_89 ),
inference(forward_demodulation,[],[f8255,f641]) ).
fof(f8255,plain,
( e1 = e2
| e2 = op(e3,e2)
| e2 = op(e2,e2)
| e2 = op(e0,e2)
| ~ spl3_65
| ~ spl3_89 ),
inference(forward_demodulation,[],[f136,f8175]) ).
fof(f10771,plain,
( spl3_89
| spl3_6
| spl3_4
| ~ spl3_64
| ~ spl3_105
| ~ spl3_126
| ~ spl3_128 ),
inference(avatar_split_clause,[],[f10719,f1189,f1126,f757,f564,f267,f277,f679]) ).
fof(f10719,plain,
( e1 = e2
| e2 = e3
| e2 = op(e1,e1)
| ~ spl3_64
| ~ spl3_105
| ~ spl3_126
| ~ spl3_128 ),
inference(duplicate_literal_removal,[],[f10718]) ).
fof(f10718,plain,
( e1 = e2
| e1 = e2
| e2 = e3
| e2 = op(e1,e1)
| ~ spl3_64
| ~ spl3_105
| ~ spl3_126
| ~ spl3_128 ),
inference(forward_demodulation,[],[f9454,f759]) ).
fof(f9454,plain,
( e1 = e2
| e2 = e3
| e2 = op(e1,e1)
| e2 = op(e1,e0)
| ~ spl3_64
| ~ spl3_126
| ~ spl3_128 ),
inference(forward_demodulation,[],[f3877,f9439]) ).
fof(f9439,plain,
( e1 = op(e1,e3)
| ~ spl3_64
| ~ spl3_126 ),
inference(forward_demodulation,[],[f566,f1128]) ).
fof(f3877,plain,
( e2 = e3
| e2 = op(e1,e3)
| e2 = op(e1,e1)
| e2 = op(e1,e0)
| ~ spl3_128 ),
inference(forward_demodulation,[],[f127,f1191]) ).
fof(f10738,plain,
( ~ spl3_108
| ~ spl3_96
| ~ spl3_113 ),
inference(avatar_split_clause,[],[f10532,f835,f709,f774]) ).
fof(f10532,plain,
( e1 != op(e2,e3)
| e2 != op(e0,e3)
| ~ spl3_113 ),
inference(trivial_inequality_removal,[],[f10531]) ).
fof(f10735,plain,
( ~ spl3_111
| spl3_67
| ~ spl3_100 ),
inference(avatar_split_clause,[],[f10708,f726,f579,f813]) ).
fof(f10708,plain,
( e2 != op(e2,e0)
| spl3_67
| ~ spl3_100 ),
inference(forward_demodulation,[],[f580,f728]) ).
fof(f10712,plain,
( spl3_86
| spl3_5
| ~ spl3_105
| ~ spl3_119
| ~ spl3_130 ),
inference(avatar_split_clause,[],[f10456,f1477,f1019,f757,f272,f666]) ).
fof(f10456,plain,
( e1 = e3
| e3 = op(e1,e1)
| ~ spl3_105
| ~ spl3_119
| ~ spl3_130 ),
inference(duplicate_literal_removal,[],[f10455]) ).
fof(f10455,plain,
( e1 = e3
| e1 = e3
| e3 = op(e1,e1)
| ~ spl3_105
| ~ spl3_119
| ~ spl3_130 ),
inference(forward_demodulation,[],[f10454,f1020]) ).
fof(f10454,plain,
( e1 = e3
| e3 = op(e1,e2)
| e3 = op(e1,e1)
| ~ spl3_105
| ~ spl3_130 ),
inference(duplicate_literal_removal,[],[f10453]) ).
fof(f10453,plain,
( e1 = e3
| e1 = e3
| e3 = op(e1,e2)
| e3 = op(e1,e1)
| ~ spl3_105
| ~ spl3_130 ),
inference(forward_demodulation,[],[f9510,f1478]) ).
fof(f9510,plain,
( e1 = e3
| e3 = op(e1,e3)
| e3 = op(e1,e2)
| e3 = op(e1,e1)
| ~ spl3_105 ),
inference(forward_demodulation,[],[f129,f759]) ).
fof(f10692,plain,
( spl3_111
| ~ spl3_67
| ~ spl3_100 ),
inference(avatar_split_clause,[],[f4879,f726,f579,f813]) ).
fof(f4879,plain,
( e2 = op(e2,e0)
| ~ spl3_67
| ~ spl3_100 ),
inference(forward_demodulation,[],[f581,f728]) ).
fof(f10675,plain,
( ~ spl3_111
| spl3_12
| ~ spl3_112 ),
inference(avatar_split_clause,[],[f3140,f817,f307,f813]) ).
fof(f3140,plain,
( e2 != op(e2,e0)
| spl3_12
| ~ spl3_112 ),
inference(superposition,[],[f309,f819]) ).
fof(f10611,plain,
( spl3_1
| ~ spl3_68
| ~ spl3_81
| ~ spl3_112
| ~ spl3_134 ),
inference(avatar_split_clause,[],[f10592,f2369,f817,f644,f584,f252]) ).
fof(f10592,plain,
( e0 = e1
| ~ spl3_68
| ~ spl3_81
| ~ spl3_112
| ~ spl3_134 ),
inference(forward_demodulation,[],[f10591,f10538]) ).
fof(f10591,plain,
( e1 = e2
| ~ spl3_68
| ~ spl3_81
| ~ spl3_112
| ~ spl3_134 ),
inference(forward_demodulation,[],[f819,f10539]) ).
fof(f10539,plain,
( e1 = op(e3,e0)
| ~ spl3_68
| ~ spl3_81
| ~ spl3_134 ),
inference(forward_demodulation,[],[f2371,f10538]) ).
fof(f10524,plain,
( spl3_97
| spl3_3
| spl3_1
| ~ spl3_86
| ~ spl3_105
| ~ spl3_119 ),
inference(avatar_split_clause,[],[f10493,f1019,f757,f666,f252,f262,f713]) ).
fof(f10493,plain,
( e0 = e1
| e0 = e3
| e0 = op(e1,e3)
| ~ spl3_86
| ~ spl3_105
| ~ spl3_119 ),
inference(duplicate_literal_removal,[],[f10492]) ).
fof(f10492,plain,
( e0 = e1
| e0 = e1
| e0 = e3
| e0 = op(e1,e3)
| ~ spl3_86
| ~ spl3_105
| ~ spl3_119 ),
inference(forward_demodulation,[],[f10491,f759]) ).
fof(f10491,plain,
( e0 = e1
| e0 = e3
| e0 = op(e1,e3)
| e0 = op(e1,e0)
| ~ spl3_86
| ~ spl3_119 ),
inference(forward_demodulation,[],[f3029,f1020]) ).
fof(f3029,plain,
( e0 = e3
| e0 = op(e1,e3)
| e0 = op(e1,e2)
| e0 = op(e1,e0)
| ~ spl3_86 ),
inference(forward_demodulation,[],[f123,f667]) ).
fof(f10512,plain,
( spl3_4
| spl3_2
| ~ spl3_77
| ~ spl3_96
| ~ spl3_101
| ~ spl3_130 ),
inference(avatar_split_clause,[],[f10385,f1477,f730,f709,f627,f257,f267]) ).
fof(f10385,plain,
( e0 = e2
| e1 = e2
| ~ spl3_77
| ~ spl3_96
| ~ spl3_101
| ~ spl3_130 ),
inference(duplicate_literal_removal,[],[f10384]) ).
fof(f10384,plain,
( e0 = e2
| e1 = e2
| e0 = e2
| ~ spl3_77
| ~ spl3_96
| ~ spl3_101
| ~ spl3_130 ),
inference(forward_demodulation,[],[f10383,f732]) ).
fof(f10383,plain,
( e1 = e2
| e0 = e2
| e2 = op(e0,e3)
| ~ spl3_77
| ~ spl3_96
| ~ spl3_130 ),
inference(duplicate_literal_removal,[],[f10382]) ).
fof(f10382,plain,
( e1 = e2
| e1 = e2
| e0 = e2
| e2 = op(e0,e3)
| ~ spl3_77
| ~ spl3_96
| ~ spl3_130 ),
inference(forward_demodulation,[],[f3673,f710]) ).
fof(f3673,plain,
( e1 = e2
| e0 = e2
| e2 = op(e2,e3)
| e2 = op(e0,e3)
| ~ spl3_77
| ~ spl3_130 ),
inference(forward_demodulation,[],[f3176,f1478]) ).
fof(f3176,plain,
( e0 = e2
| e2 = op(e2,e3)
| e2 = op(e1,e3)
| e2 = op(e0,e3)
| ~ spl3_77 ),
inference(forward_demodulation,[],[f144,f628]) ).
fof(f10474,plain,
( spl3_133
| ~ spl3_68
| ~ spl3_132 ),
inference(avatar_split_clause,[],[f10349,f1487,f584,f2279]) ).
fof(f10349,plain,
( e2 = op(e2,e2)
| ~ spl3_68
| ~ spl3_132 ),
inference(forward_demodulation,[],[f586,f1489]) ).
fof(f10436,plain,
( spl3_5
| ~ spl3_130
| ~ spl3_137 ),
inference(avatar_split_clause,[],[f10371,f10132,f1477,f272]) ).
fof(f10371,plain,
( e1 = e3
| ~ spl3_130
| ~ spl3_137 ),
inference(superposition,[],[f1478,f10134]) ).
fof(f10381,plain,
( spl3_98
| ~ spl3_68
| ~ spl3_69
| ~ spl3_81
| ~ spl3_119
| ~ spl3_132 ),
inference(avatar_split_clause,[],[f10345,f1487,f1019,f644,f589,f584,f718]) ).
fof(f10345,plain,
( e0 = op(e0,e0)
| ~ spl3_68
| ~ spl3_69
| ~ spl3_81
| ~ spl3_119
| ~ spl3_132 ),
inference(forward_demodulation,[],[f8517,f10321]) ).
fof(f10321,plain,
( e0 = e2
| ~ spl3_69
| ~ spl3_81
| ~ spl3_119 ),
inference(forward_demodulation,[],[f10243,f645]) ).
fof(f8517,plain,
( e2 = op(e2,e2)
| ~ spl3_68
| ~ spl3_132 ),
inference(forward_demodulation,[],[f586,f1489]) ).
fof(f10359,plain,
( spl3_130
| ~ spl3_64
| ~ spl3_126 ),
inference(avatar_split_clause,[],[f9439,f1126,f564,f1477]) ).
fof(f10331,plain,
( spl3_105
| ~ spl3_69
| ~ spl3_81
| ~ spl3_119 ),
inference(avatar_split_clause,[],[f10328,f1019,f644,f589,f757]) ).
fof(f10328,plain,
( e1 = op(e1,e0)
| ~ spl3_69
| ~ spl3_81
| ~ spl3_119 ),
inference(forward_demodulation,[],[f1020,f10321]) ).
fof(f10310,plain,
( spl3_4
| ~ spl3_132
| ~ spl3_134 ),
inference(avatar_split_clause,[],[f8206,f2369,f1487,f267]) ).
fof(f8206,plain,
( e1 = e2
| ~ spl3_132
| ~ spl3_134 ),
inference(superposition,[],[f1489,f2371]) ).
fof(f10271,plain,
( spl3_1
| ~ spl3_93
| ~ spl3_134 ),
inference(avatar_split_clause,[],[f10268,f2369,f696,f252]) ).
fof(f10268,plain,
( e0 = e1
| ~ spl3_93
| ~ spl3_134 ),
inference(forward_demodulation,[],[f2371,f697]) ).
fof(f10258,plain,
( spl3_117
| ~ spl3_69
| ~ spl3_81
| ~ spl3_93
| ~ spl3_119 ),
inference(avatar_split_clause,[],[f10257,f1019,f696,f644,f589,f906]) ).
fof(f10257,plain,
( e0 = op(e3,e0)
| ~ spl3_69
| ~ spl3_81
| ~ spl3_93
| ~ spl3_119 ),
inference(forward_demodulation,[],[f697,f10246]) ).
fof(f10246,plain,
( e0 = e2
| ~ spl3_69
| ~ spl3_81
| ~ spl3_119 ),
inference(forward_demodulation,[],[f10243,f645]) ).
fof(f10256,plain,
( spl3_93
| spl3_77
| spl3_3
| spl3_1
| ~ spl3_78
| ~ spl3_126 ),
inference(avatar_split_clause,[],[f7489,f1126,f631,f252,f262,f627,f696]) ).
fof(f7489,plain,
( e0 = e1
| e0 = e3
| e0 = op(e3,e3)
| e0 = op(e3,e2)
| ~ spl3_78
| ~ spl3_126 ),
inference(forward_demodulation,[],[f3599,f632]) ).
fof(f3599,plain,
( e0 = e3
| e0 = op(e3,e3)
| e0 = op(e3,e2)
| e0 = op(e3,e0)
| ~ spl3_126 ),
inference(forward_demodulation,[],[f139,f1128]) ).
fof(f10210,plain,
( spl3_6
| ~ spl3_73
| ~ spl3_92
| ~ spl3_137 ),
inference(avatar_split_clause,[],[f10146,f10132,f692,f609,f277]) ).
fof(f10146,plain,
( e2 = e3
| ~ spl3_73
| ~ spl3_92
| ~ spl3_137 ),
inference(forward_demodulation,[],[f10140,f693]) ).
fof(f10173,plain,
( spl3_80
| ~ spl3_73
| ~ spl3_92
| ~ spl3_134
| ~ spl3_137 ),
inference(avatar_split_clause,[],[f10172,f10132,f2369,f692,f609,f640]) ).
fof(f10172,plain,
( e1 = op(e2,e2)
| ~ spl3_73
| ~ spl3_92
| ~ spl3_134
| ~ spl3_137 ),
inference(forward_demodulation,[],[f2371,f10146]) ).
fof(f10147,plain,
( spl3_134
| spl3_5
| spl3_4
| spl3_1
| ~ spl3_90
| ~ spl3_95
| ~ spl3_107 ),
inference(avatar_split_clause,[],[f10101,f770,f705,f683,f252,f267,f272,f2369]) ).
fof(f10101,plain,
( e0 = e1
| e1 = e2
| e1 = e3
| e1 = op(e3,e2)
| ~ spl3_90
| ~ spl3_95
| ~ spl3_107 ),
inference(forward_demodulation,[],[f2769,f684]) ).
fof(f2769,plain,
( e1 = e2
| e1 = e3
| e1 = op(e3,e2)
| e1 = op(e1,e2)
| ~ spl3_95
| ~ spl3_107 ),
inference(forward_demodulation,[],[f2768,f772]) ).
fof(f2768,plain,
( e1 = e3
| e1 = op(e3,e2)
| e1 = op(e1,e2)
| e1 = op(e0,e2)
| ~ spl3_95 ),
inference(forward_demodulation,[],[f134,f706]) ).
fof(f10135,plain,
( spl3_137
| spl3_5
| spl3_6
| spl3_3
| ~ spl3_92
| ~ spl3_96
| ~ spl3_101 ),
inference(avatar_split_clause,[],[f10092,f730,f709,f692,f262,f277,f272,f10132]) ).
fof(f10092,plain,
( e0 = e3
| e2 = e3
| e1 = e3
| e3 = op(e1,e3)
| ~ spl3_92
| ~ spl3_96
| ~ spl3_101 ),
inference(forward_demodulation,[],[f6499,f732]) ).
fof(f6499,plain,
( e2 = e3
| e1 = e3
| e3 = op(e1,e3)
| e3 = op(e0,e3)
| ~ spl3_92
| ~ spl3_96 ),
inference(forward_demodulation,[],[f4776,f693]) ).
fof(f10079,plain,
( spl3_6
| ~ spl3_106
| ~ spl3_113 ),
inference(avatar_split_clause,[],[f10074,f835,f766,f277]) ).
fof(f10074,plain,
( e2 = e3
| ~ spl3_106
| ~ spl3_113 ),
inference(superposition,[],[f768,f837]) ).
fof(f10056,plain,
( spl3_77
| spl3_3
| spl3_1
| ~ spl3_78
| ~ spl3_126
| ~ spl3_129 ),
inference(avatar_split_clause,[],[f9960,f1193,f1126,f631,f252,f262,f627]) ).
fof(f9960,plain,
( e0 = e1
| e0 = e3
| e0 = op(e3,e3)
| ~ spl3_78
| ~ spl3_126
| ~ spl3_129 ),
inference(forward_demodulation,[],[f9518,f632]) ).
fof(f9518,plain,
( e0 = e3
| e0 = op(e3,e3)
| e0 = op(e3,e0)
| ~ spl3_126
| ~ spl3_129 ),
inference(duplicate_literal_removal,[],[f9517]) ).
fof(f9517,plain,
( e0 = e3
| e0 = e3
| e0 = op(e3,e3)
| e0 = op(e3,e0)
| ~ spl3_126
| ~ spl3_129 ),
inference(forward_demodulation,[],[f9196,f1128]) ).
fof(f10043,plain,
( spl3_132
| spl3_4
| spl3_2
| ~ spl3_80
| ~ spl3_90
| ~ spl3_100 ),
inference(avatar_split_clause,[],[f9584,f726,f683,f640,f257,f267,f1487]) ).
fof(f9584,plain,
( e0 = e2
| e1 = e2
| e2 = op(e3,e2)
| ~ spl3_80
| ~ spl3_90
| ~ spl3_100 ),
inference(duplicate_literal_removal,[],[f9583]) ).
fof(f9583,plain,
( e0 = e2
| e0 = e2
| e1 = e2
| e2 = op(e3,e2)
| ~ spl3_80
| ~ spl3_90
| ~ spl3_100 ),
inference(forward_demodulation,[],[f7371,f728]) ).
fof(f7371,plain,
( e0 = e2
| e1 = e2
| e2 = op(e3,e2)
| e2 = op(e0,e2)
| ~ spl3_80
| ~ spl3_90 ),
inference(forward_demodulation,[],[f7370,f684]) ).
fof(f7370,plain,
( e1 = e2
| e2 = op(e3,e2)
| e2 = op(e1,e2)
| e2 = op(e0,e2)
| ~ spl3_80 ),
inference(forward_demodulation,[],[f136,f641]) ).
fof(f10040,plain,
( ~ spl3_111
| spl3_67
| ~ spl3_100 ),
inference(avatar_split_clause,[],[f4684,f726,f579,f813]) ).
fof(f4684,plain,
( e2 != op(e2,e0)
| spl3_67
| ~ spl3_100 ),
inference(forward_demodulation,[],[f580,f728]) ).
fof(f9940,plain,
( spl3_3
| ~ spl3_98
| ~ spl3_113 ),
inference(avatar_split_clause,[],[f9939,f835,f718,f262]) ).
fof(f9939,plain,
( e0 = e3
| ~ spl3_98
| ~ spl3_113 ),
inference(forward_demodulation,[],[f837,f720]) ).
fof(f9927,plain,
( spl3_5
| ~ spl3_78
| ~ spl3_121 ),
inference(avatar_split_clause,[],[f9297,f1039,f631,f272]) ).
fof(f9297,plain,
( e1 = e3
| ~ spl3_78
| ~ spl3_121 ),
inference(superposition,[],[f1041,f632]) ).
fof(f9892,plain,
( spl3_1
| ~ spl3_58
| ~ spl3_103
| ~ spl3_105 ),
inference(avatar_split_clause,[],[f9891,f757,f740,f535,f252]) ).
fof(f9891,plain,
( e0 = e1
| ~ spl3_58
| ~ spl3_103
| ~ spl3_105 ),
inference(forward_demodulation,[],[f742,f9574]) ).
fof(f9881,plain,
( spl3_117
| spl3_1
| spl3_2
| ~ spl3_62
| ~ spl3_81
| ~ spl3_106
| ~ spl3_111 ),
inference(avatar_split_clause,[],[f9798,f813,f766,f644,f554,f257,f252,f906]) ).
fof(f9798,plain,
( e0 = e2
| e0 = e1
| e0 = op(e3,e0)
| ~ spl3_62
| ~ spl3_81
| ~ spl3_106
| ~ spl3_111 ),
inference(duplicate_literal_removal,[],[f9797]) ).
fof(f9797,plain,
( e0 = e2
| e0 = e1
| e0 = e2
| e0 = op(e3,e0)
| ~ spl3_62
| ~ spl3_81
| ~ spl3_106
| ~ spl3_111 ),
inference(forward_demodulation,[],[f9796,f768]) ).
fof(f9796,plain,
( e0 = e1
| e0 = e2
| e0 = op(e3,e0)
| e0 = op(e0,e0)
| ~ spl3_62
| ~ spl3_81
| ~ spl3_111 ),
inference(forward_demodulation,[],[f944,f9755]) ).
fof(f9755,plain,
( e1 = op(e1,e0)
| ~ spl3_62
| ~ spl3_81 ),
inference(forward_demodulation,[],[f556,f645]) ).
fof(f944,plain,
( e0 = e2
| e0 = op(e3,e0)
| e0 = op(e1,e0)
| e0 = op(e0,e0)
| ~ spl3_111 ),
inference(forward_demodulation,[],[f116,f815]) ).
fof(f9871,plain,
( spl3_1
| ~ spl3_77
| ~ spl3_83 ),
inference(avatar_split_clause,[],[f9870,f653,f627,f252]) ).
fof(f9870,plain,
( e0 = e1
| ~ spl3_77
| ~ spl3_83 ),
inference(forward_demodulation,[],[f654,f628]) ).
fof(f9865,plain,
( spl3_83
| spl3_5
| spl3_4
| ~ spl3_121
| ~ spl3_126
| ~ spl3_132 ),
inference(avatar_split_clause,[],[f9744,f1487,f1126,f1039,f267,f272,f653]) ).
fof(f9744,plain,
( e1 = e2
| e1 = e3
| e1 = op(e3,e3)
| ~ spl3_121
| ~ spl3_126
| ~ spl3_132 ),
inference(forward_demodulation,[],[f9504,f1489]) ).
fof(f9846,plain,
( spl3_77
| spl3_2
| spl3_3
| ~ spl3_121
| ~ spl3_126
| ~ spl3_132 ),
inference(avatar_split_clause,[],[f9707,f1487,f1126,f1039,f262,f257,f627]) ).
fof(f9707,plain,
( e0 = e3
| e0 = e2
| e0 = op(e3,e3)
| ~ spl3_121
| ~ spl3_126
| ~ spl3_132 ),
inference(duplicate_literal_removal,[],[f9706]) ).
fof(f9706,plain,
( e0 = e3
| e0 = e2
| e0 = e3
| e0 = op(e3,e3)
| ~ spl3_121
| ~ spl3_126
| ~ spl3_132 ),
inference(forward_demodulation,[],[f7932,f1041]) ).
fof(f7932,plain,
( e0 = e2
| e0 = e3
| e0 = op(e3,e3)
| e0 = op(e3,e0)
| ~ spl3_126
| ~ spl3_132 ),
inference(forward_demodulation,[],[f3599,f1489]) ).
fof(f9841,plain,
( spl3_101
| ~ spl3_61
| ~ spl3_121 ),
inference(avatar_split_clause,[],[f9757,f1039,f549,f730]) ).
fof(f9757,plain,
( e0 = op(e0,e3)
| ~ spl3_61
| ~ spl3_121 ),
inference(forward_demodulation,[],[f551,f1041]) ).
fof(f9837,plain,
( spl3_105
| ~ spl3_62
| ~ spl3_81 ),
inference(avatar_split_clause,[],[f9755,f644,f554,f757]) ).
fof(f9795,plain,
( spl3_3
| ~ spl3_90
| ~ spl3_101
| ~ spl3_104
| ~ spl3_105
| ~ spl3_123 ),
inference(avatar_split_clause,[],[f9769,f1092,f757,f744,f730,f683,f262]) ).
fof(f9769,plain,
( e0 = e3
| ~ spl3_90
| ~ spl3_101
| ~ spl3_104
| ~ spl3_105
| ~ spl3_123 ),
inference(duplicate_literal_removal,[],[f9768]) ).
fof(f9768,plain,
( e0 = e3
| e0 = e3
| ~ spl3_90
| ~ spl3_101
| ~ spl3_104
| ~ spl3_105
| ~ spl3_123 ),
inference(forward_demodulation,[],[f9767,f6595]) ).
fof(f6595,plain,
( e0 = e1
| ~ spl3_101
| ~ spl3_104 ),
inference(superposition,[],[f746,f732]) ).
fof(f9767,plain,
( e1 = e3
| e0 = e3
| ~ spl3_90
| ~ spl3_101
| ~ spl3_104
| ~ spl3_105
| ~ spl3_123 ),
inference(forward_demodulation,[],[f9766,f1094]) ).
fof(f9766,plain,
( e0 = e3
| e3 = op(e1,e1)
| ~ spl3_90
| ~ spl3_101
| ~ spl3_104
| ~ spl3_105 ),
inference(duplicate_literal_removal,[],[f9765]) ).
fof(f9765,plain,
( e0 = e3
| e0 = e3
| e3 = op(e1,e1)
| ~ spl3_90
| ~ spl3_101
| ~ spl3_104
| ~ spl3_105 ),
inference(forward_demodulation,[],[f9764,f6595]) ).
fof(f9764,plain,
( e1 = e3
| e0 = e3
| e3 = op(e1,e1)
| ~ spl3_90
| ~ spl3_101
| ~ spl3_104
| ~ spl3_105 ),
inference(forward_demodulation,[],[f9763,f746]) ).
fof(f9763,plain,
( e3 = op(e0,e3)
| e0 = e3
| e3 = op(e1,e1)
| ~ spl3_90
| ~ spl3_101
| ~ spl3_104
| ~ spl3_105 ),
inference(forward_demodulation,[],[f9762,f6595]) ).
fof(f9762,plain,
( e0 = e3
| e3 = op(e1,e3)
| e3 = op(e1,e1)
| ~ spl3_90
| ~ spl3_101
| ~ spl3_104
| ~ spl3_105 ),
inference(duplicate_literal_removal,[],[f9761]) ).
fof(f9761,plain,
( e0 = e3
| e0 = e3
| e3 = op(e1,e3)
| e3 = op(e1,e1)
| ~ spl3_90
| ~ spl3_101
| ~ spl3_104
| ~ spl3_105 ),
inference(forward_demodulation,[],[f9747,f6595]) ).
fof(f9747,plain,
( e0 = e3
| e1 = e3
| e3 = op(e1,e3)
| e3 = op(e1,e1)
| ~ spl3_90
| ~ spl3_105 ),
inference(forward_demodulation,[],[f9510,f684]) ).
fof(f9758,plain,
( spl3_2
| ~ spl3_58
| ~ spl3_106
| ~ spl3_118 ),
inference(avatar_split_clause,[],[f9745,f950,f766,f535,f257]) ).
fof(f9745,plain,
( e0 = e2
| ~ spl3_58
| ~ spl3_106
| ~ spl3_118 ),
inference(forward_demodulation,[],[f768,f957]) ).
fof(f957,plain,
( e0 = op(e0,e0)
| ~ spl3_58
| ~ spl3_118 ),
inference(superposition,[],[f537,f952]) ).
fof(f9742,plain,
( spl3_4
| ~ spl3_78
| ~ spl3_104
| ~ spl3_121
| ~ spl3_123
| ~ spl3_127 ),
inference(avatar_split_clause,[],[f9719,f1150,f1092,f1039,f744,f631,f267]) ).
fof(f9719,plain,
( e1 = e2
| ~ spl3_78
| ~ spl3_104
| ~ spl3_121
| ~ spl3_123
| ~ spl3_127 ),
inference(duplicate_literal_removal,[],[f9718]) ).
fof(f9718,plain,
( e1 = e2
| e1 = e2
| ~ spl3_78
| ~ spl3_104
| ~ spl3_121
| ~ spl3_123
| ~ spl3_127 ),
inference(forward_demodulation,[],[f9717,f746]) ).
fof(f9717,plain,
( e1 = e2
| e2 = op(e0,e3)
| ~ spl3_78
| ~ spl3_121
| ~ spl3_123
| ~ spl3_127 ),
inference(duplicate_literal_removal,[],[f9716]) ).
fof(f9716,plain,
( e1 = e2
| e1 = e2
| e2 = op(e0,e3)
| ~ spl3_78
| ~ spl3_121
| ~ spl3_123
| ~ spl3_127 ),
inference(forward_demodulation,[],[f9365,f1094]) ).
fof(f9365,plain,
( e2 = op(e1,e1)
| e1 = e2
| e2 = op(e0,e3)
| ~ spl3_78
| ~ spl3_121
| ~ spl3_127 ),
inference(duplicate_literal_removal,[],[f9364]) ).
fof(f9364,plain,
( e2 = op(e1,e1)
| e2 = op(e1,e1)
| e1 = e2
| e2 = op(e0,e3)
| ~ spl3_78
| ~ spl3_121
| ~ spl3_127 ),
inference(forward_demodulation,[],[f9363,f9297]) ).
fof(f9363,plain,
( e2 = op(e1,e1)
| e1 = e2
| e2 = op(e1,e3)
| e2 = op(e0,e3)
| ~ spl3_78
| ~ spl3_121
| ~ spl3_127 ),
inference(forward_demodulation,[],[f9362,f9297]) ).
fof(f9362,plain,
( e1 = e2
| e2 = op(e3,e3)
| e2 = op(e1,e3)
| e2 = op(e0,e3)
| ~ spl3_78
| ~ spl3_121
| ~ spl3_127 ),
inference(forward_demodulation,[],[f9075,f9297]) ).
fof(f9684,plain,
( spl3_2
| ~ spl3_58
| ~ spl3_85
| ~ spl3_105 ),
inference(avatar_split_clause,[],[f9663,f757,f661,f535,f257]) ).
fof(f9663,plain,
( e0 = e2
| ~ spl3_58
| ~ spl3_85
| ~ spl3_105 ),
inference(forward_demodulation,[],[f662,f9574]) ).
fof(f9665,plain,
( spl3_1
| ~ spl3_58
| ~ spl3_102
| ~ spl3_118 ),
inference(avatar_split_clause,[],[f9662,f950,f736,f535,f252]) ).
fof(f9662,plain,
( e0 = e1
| ~ spl3_58
| ~ spl3_102
| ~ spl3_118 ),
inference(forward_demodulation,[],[f738,f957]) ).
fof(f9631,plain,
( spl3_1
| ~ spl3_58
| ~ spl3_80
| ~ spl3_98
| ~ spl3_106
| ~ spl3_118 ),
inference(avatar_split_clause,[],[f9617,f950,f766,f718,f640,f535,f252]) ).
fof(f9617,plain,
( e0 = e1
| ~ spl3_58
| ~ spl3_80
| ~ spl3_98
| ~ spl3_106
| ~ spl3_118 ),
inference(forward_demodulation,[],[f9114,f957]) ).
fof(f9114,plain,
( op(e0,e0) = e1
| ~ spl3_80
| ~ spl3_98
| ~ spl3_106 ),
inference(forward_demodulation,[],[f641,f4253]) ).
fof(f9599,plain,
( spl3_77
| spl3_3
| ~ spl3_121
| ~ spl3_126
| ~ spl3_129 ),
inference(avatar_split_clause,[],[f9520,f1193,f1126,f1039,f262,f627]) ).
fof(f9520,plain,
( e0 = e3
| e0 = op(e3,e3)
| ~ spl3_121
| ~ spl3_126
| ~ spl3_129 ),
inference(duplicate_literal_removal,[],[f9519]) ).
fof(f9519,plain,
( e0 = e3
| e0 = e3
| e0 = op(e3,e3)
| ~ spl3_121
| ~ spl3_126
| ~ spl3_129 ),
inference(forward_demodulation,[],[f9518,f1041]) ).
fof(f9576,plain,
( ~ spl3_119
| spl3_22
| ~ spl3_80 ),
inference(avatar_split_clause,[],[f1833,f640,f357,f1019]) ).
fof(f1833,plain,
( e1 != op(e1,e2)
| spl3_22
| ~ spl3_80 ),
inference(superposition,[],[f359,f641]) ).
fof(f9571,plain,
( ~ spl3_129
| spl3_72
| ~ spl3_92 ),
inference(avatar_split_clause,[],[f9056,f692,f604,f1193]) ).
fof(f9056,plain,
( e3 != op(e3,e2)
| spl3_72
| ~ spl3_92 ),
inference(forward_demodulation,[],[f605,f693]) ).
fof(f9569,plain,
( ~ spl3_105
| spl3_62
| ~ spl3_81 ),
inference(avatar_split_clause,[],[f7734,f644,f554,f757]) ).
fof(f7734,plain,
( e1 != op(e1,e0)
| spl3_62
| ~ spl3_81 ),
inference(forward_demodulation,[],[f555,f645]) ).
fof(f9478,plain,
( spl3_136
| ~ spl3_69
| ~ spl3_128 ),
inference(avatar_split_clause,[],[f9433,f1189,f589,f3629]) ).
fof(f9433,plain,
( e2 = op(e2,e3)
| ~ spl3_69
| ~ spl3_128 ),
inference(forward_demodulation,[],[f591,f1191]) ).
fof(f9444,plain,
( spl3_123
| ~ spl3_78
| ~ spl3_121
| ~ spl3_130 ),
inference(avatar_split_clause,[],[f9401,f1477,f1039,f631,f1092]) ).
fof(f9401,plain,
( e1 = op(e1,e1)
| ~ spl3_78
| ~ spl3_121
| ~ spl3_130 ),
inference(forward_demodulation,[],[f1478,f9297]) ).
fof(f9442,plain,
( spl3_100
| ~ spl3_60
| ~ spl3_106 ),
inference(avatar_split_clause,[],[f9133,f766,f544,f726]) ).
fof(f9133,plain,
( e0 = op(e0,e2)
| ~ spl3_60
| ~ spl3_106 ),
inference(forward_demodulation,[],[f546,f768]) ).
fof(f9338,plain,
( spl3_123
| ~ spl3_63
| ~ spl3_103 ),
inference(avatar_split_clause,[],[f9130,f740,f559,f1092]) ).
fof(f9130,plain,
( e1 = op(e1,e1)
| ~ spl3_63
| ~ spl3_103 ),
inference(forward_demodulation,[],[f561,f742]) ).
fof(f9327,plain,
( ~ spl3_101
| spl3_61
| ~ spl3_121 ),
inference(avatar_split_clause,[],[f2032,f1039,f549,f730]) ).
fof(f2032,plain,
( e0 != op(e0,e3)
| spl3_61
| ~ spl3_121 ),
inference(forward_demodulation,[],[f550,f1041]) ).
fof(f9256,plain,
( spl3_5
| ~ spl3_119
| ~ spl3_128 ),
inference(avatar_split_clause,[],[f9228,f1189,f1019,f272]) ).
fof(f9228,plain,
( e1 = e3
| ~ spl3_119
| ~ spl3_128 ),
inference(forward_demodulation,[],[f1191,f1020]) ).
fof(f9207,plain,
( spl3_5
| ~ spl3_63
| ~ spl3_86
| ~ spl3_103 ),
inference(avatar_split_clause,[],[f9205,f740,f666,f559,f272]) ).
fof(f9205,plain,
( e1 = e3
| ~ spl3_63
| ~ spl3_86
| ~ spl3_103 ),
inference(forward_demodulation,[],[f667,f9130]) ).
fof(f9170,plain,
( spl3_6
| ~ spl3_65
| ~ spl3_86
| ~ spl3_97
| ~ spl3_106 ),
inference(avatar_split_clause,[],[f9107,f766,f713,f666,f569,f277]) ).
fof(f9107,plain,
( e2 = e3
| ~ spl3_65
| ~ spl3_86
| ~ spl3_97
| ~ spl3_106 ),
inference(forward_demodulation,[],[f9106,f768]) ).
fof(f9106,plain,
( op(e0,e0) = e3
| ~ spl3_65
| ~ spl3_86
| ~ spl3_97 ),
inference(forward_demodulation,[],[f667,f9105]) ).
fof(f9105,plain,
( e0 = e1
| ~ spl3_65
| ~ spl3_86
| ~ spl3_97 ),
inference(forward_demodulation,[],[f2190,f714]) ).
fof(f2190,plain,
( e1 = op(e1,e3)
| ~ spl3_65
| ~ spl3_86 ),
inference(superposition,[],[f571,f667]) ).
fof(f9137,plain,
( spl3_3
| ~ spl3_65
| ~ spl3_86
| ~ spl3_97
| ~ spl3_98
| ~ spl3_106 ),
inference(avatar_split_clause,[],[f9108,f766,f718,f713,f666,f569,f262]) ).
fof(f9108,plain,
( e0 = e3
| ~ spl3_65
| ~ spl3_86
| ~ spl3_97
| ~ spl3_98
| ~ spl3_106 ),
inference(forward_demodulation,[],[f9107,f4253]) ).
fof(f9069,plain,
( spl3_133
| ~ spl3_69
| ~ spl3_122 ),
inference(avatar_split_clause,[],[f8737,f1072,f589,f2279]) ).
fof(f8737,plain,
( e2 = op(e2,e2)
| ~ spl3_69
| ~ spl3_122 ),
inference(forward_demodulation,[],[f591,f1074]) ).
fof(f9037,plain,
( spl3_126
| ~ spl3_65
| ~ spl3_73
| ~ spl3_86 ),
inference(avatar_split_clause,[],[f8332,f666,f609,f569,f1126]) ).
fof(f8332,plain,
( e3 = op(e3,e1)
| ~ spl3_65
| ~ spl3_73
| ~ spl3_86 ),
inference(forward_demodulation,[],[f611,f2190]) ).
fof(f8921,plain,
( spl3_3
| ~ spl3_86
| ~ spl3_109 ),
inference(avatar_split_clause,[],[f8725,f799,f666,f262]) ).
fof(f8725,plain,
( e0 = e3
| ~ spl3_86
| ~ spl3_109 ),
inference(forward_demodulation,[],[f667,f801]) ).
fof(f8748,plain,
( spl3_2
| ~ spl3_92
| ~ spl3_109
| ~ spl3_129
| ~ spl3_134 ),
inference(avatar_split_clause,[],[f8705,f2369,f1193,f799,f692,f257]) ).
fof(f8705,plain,
( e0 = e2
| ~ spl3_92
| ~ spl3_109
| ~ spl3_129
| ~ spl3_134 ),
inference(forward_demodulation,[],[f8704,f801]) ).
fof(f8704,plain,
( e2 = op(e1,e1)
| ~ spl3_92
| ~ spl3_129
| ~ spl3_134 ),
inference(forward_demodulation,[],[f693,f4095]) ).
fof(f8613,plain,
( spl3_4
| ~ spl3_67
| ~ spl3_94
| ~ spl3_124 ),
inference(avatar_split_clause,[],[f8589,f1096,f700,f579,f267]) ).
fof(f8589,plain,
( e1 = e2
| ~ spl3_67
| ~ spl3_94
| ~ spl3_124 ),
inference(forward_demodulation,[],[f752,f1098]) ).
fof(f8541,plain,
( spl3_2
| ~ spl3_88
| ~ spl3_136 ),
inference(avatar_split_clause,[],[f6821,f3629,f674,f257]) ).
fof(f6821,plain,
( e0 = e2
| ~ spl3_88
| ~ spl3_136 ),
inference(superposition,[],[f675,f3630]) ).
fof(f8528,plain,
( spl3_1
| ~ spl3_63
| ~ spl3_69
| ~ spl3_85
| ~ spl3_88
| ~ spl3_124
| ~ spl3_136 ),
inference(avatar_split_clause,[],[f8523,f3629,f1096,f674,f661,f589,f559,f252]) ).
fof(f8523,plain,
( e0 = e1
| ~ spl3_63
| ~ spl3_69
| ~ spl3_85
| ~ spl3_88
| ~ spl3_124
| ~ spl3_136 ),
inference(forward_demodulation,[],[f8522,f6821]) ).
fof(f8522,plain,
( e1 = e2
| ~ spl3_63
| ~ spl3_69
| ~ spl3_85
| ~ spl3_124 ),
inference(forward_demodulation,[],[f5117,f1098]) ).
fof(f5117,plain,
( e2 = op(e2,e1)
| ~ spl3_63
| ~ spl3_69
| ~ spl3_85 ),
inference(forward_demodulation,[],[f591,f795]) ).
fof(f8463,plain,
( spl3_5
| ~ spl3_65
| ~ spl3_73
| ~ spl3_86
| ~ spl3_125 ),
inference(avatar_split_clause,[],[f8333,f1100,f666,f609,f569,f272]) ).
fof(f8333,plain,
( e1 = e3
| ~ spl3_65
| ~ spl3_73
| ~ spl3_86
| ~ spl3_125 ),
inference(forward_demodulation,[],[f8332,f1102]) ).
fof(f8357,plain,
( spl3_4
| ~ spl3_65
| ~ spl3_89
| ~ spl3_122 ),
inference(avatar_split_clause,[],[f8272,f1072,f679,f569,f267]) ).
fof(f8272,plain,
( e1 = e2
| ~ spl3_65
| ~ spl3_89
| ~ spl3_122 ),
inference(forward_demodulation,[],[f1074,f8175]) ).
fof(f8236,plain,
( spl3_117
| spl3_3
| spl3_2
| ~ spl3_76
| ~ spl3_106
| ~ spl3_111 ),
inference(avatar_split_clause,[],[f7516,f813,f766,f622,f257,f262,f906]) ).
fof(f7516,plain,
( e0 = e2
| e0 = e3
| e0 = op(e3,e0)
| ~ spl3_76
| ~ spl3_106
| ~ spl3_111 ),
inference(duplicate_literal_removal,[],[f7216]) ).
fof(f7216,plain,
( e0 = e2
| e0 = e3
| e0 = e2
| e0 = op(e3,e0)
| ~ spl3_76
| ~ spl3_106
| ~ spl3_111 ),
inference(forward_demodulation,[],[f6537,f768]) ).
fof(f6537,plain,
( e0 = e3
| e0 = e2
| e0 = op(e3,e0)
| e0 = op(e0,e0)
| ~ spl3_76
| ~ spl3_111 ),
inference(forward_demodulation,[],[f944,f623]) ).
fof(f8231,plain,
( spl3_117
| spl3_3
| spl3_1
| ~ spl3_76
| ~ spl3_106
| ~ spl3_111
| ~ spl3_132
| ~ spl3_134 ),
inference(avatar_split_clause,[],[f8211,f2369,f1487,f813,f766,f622,f252,f262,f906]) ).
fof(f8211,plain,
( e0 = e1
| e0 = e3
| e0 = op(e3,e0)
| ~ spl3_76
| ~ spl3_106
| ~ spl3_111
| ~ spl3_132
| ~ spl3_134 ),
inference(forward_demodulation,[],[f7516,f8206]) ).
fof(f8226,plain,
( ~ spl3_111
| spl3_66
| ~ spl3_74 ),
inference(avatar_split_clause,[],[f8068,f614,f574,f813]) ).
fof(f8068,plain,
( e2 != op(e2,e0)
| spl3_66
| ~ spl3_74 ),
inference(forward_demodulation,[],[f575,f615]) ).
fof(f8210,plain,
( spl3_1
| ~ spl3_84
| ~ spl3_125 ),
inference(avatar_split_clause,[],[f8186,f1100,f657,f252]) ).
fof(f8186,plain,
( e0 = e1
| ~ spl3_84
| ~ spl3_125 ),
inference(superposition,[],[f1102,f658]) ).
fof(f8169,plain,
( spl3_2
| ~ spl3_74
| ~ spl3_133 ),
inference(avatar_split_clause,[],[f8163,f2279,f614,f257]) ).
fof(f8163,plain,
( e0 = e2
| ~ spl3_74
| ~ spl3_133 ),
inference(forward_demodulation,[],[f2281,f615]) ).
fof(f8146,plain,
( spl3_5
| ~ spl3_63
| ~ spl3_85
| ~ spl3_128 ),
inference(avatar_split_clause,[],[f8143,f1189,f661,f559,f272]) ).
fof(f8143,plain,
( e1 = e3
| ~ spl3_63
| ~ spl3_85
| ~ spl3_128 ),
inference(forward_demodulation,[],[f1191,f795]) ).
fof(f8133,plain,
( spl3_4
| ~ spl3_69
| ~ spl3_96
| ~ spl3_128 ),
inference(avatar_split_clause,[],[f8087,f1189,f709,f589,f267]) ).
fof(f8087,plain,
( e1 = e2
| ~ spl3_69
| ~ spl3_96
| ~ spl3_128 ),
inference(forward_demodulation,[],[f3908,f710]) ).
fof(f3908,plain,
( e2 = op(e2,e3)
| ~ spl3_69
| ~ spl3_128 ),
inference(superposition,[],[f591,f1191]) ).
fof(f8057,plain,
( spl3_88
| spl3_2
| spl3_3
| ~ spl3_68
| ~ spl3_111
| ~ spl3_115
| ~ spl3_132 ),
inference(avatar_split_clause,[],[f7220,f1487,f896,f813,f584,f262,f257,f674]) ).
fof(f7220,plain,
( e0 = e3
| e0 = e2
| e0 = op(e2,e3)
| ~ spl3_68
| ~ spl3_111
| ~ spl3_115
| ~ spl3_132 ),
inference(forward_demodulation,[],[f7219,f897]) ).
fof(f7219,plain,
( e0 = e2
| e0 = op(e2,e3)
| e0 = op(e2,e1)
| ~ spl3_68
| ~ spl3_111
| ~ spl3_132 ),
inference(duplicate_literal_removal,[],[f7218]) ).
fof(f7218,plain,
( e0 = e2
| e0 = e2
| e0 = op(e2,e3)
| e0 = op(e2,e1)
| ~ spl3_68
| ~ spl3_111
| ~ spl3_132 ),
inference(forward_demodulation,[],[f1062,f4220]) ).
fof(f4220,plain,
( e2 = op(e2,e2)
| ~ spl3_68
| ~ spl3_132 ),
inference(superposition,[],[f586,f1489]) ).
fof(f1062,plain,
( e0 = e2
| e0 = op(e2,e3)
| e0 = op(e2,e2)
| e0 = op(e2,e1)
| ~ spl3_111 ),
inference(forward_demodulation,[],[f131,f815]) ).
fof(f8051,plain,
( ~ spl3_102
| spl3_9
| ~ spl3_78 ),
inference(avatar_split_clause,[],[f790,f631,f292,f736]) ).
fof(f292,plain,
( spl3_9
<=> op(e0,e0) = op(e3,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_9])]) ).
fof(f790,plain,
( op(e0,e0) != e1
| spl3_9
| ~ spl3_78 ),
inference(superposition,[],[f294,f632]) ).
fof(f294,plain,
( op(e0,e0) != op(e3,e0)
| spl3_9 ),
inference(avatar_component_clause,[],[f292]) ).
fof(f7968,plain,
( spl3_5
| ~ spl3_73
| ~ spl3_78
| ~ spl3_97 ),
inference(avatar_split_clause,[],[f7965,f713,f631,f609,f272]) ).
fof(f7965,plain,
( e1 = e3
| ~ spl3_73
| ~ spl3_78
| ~ spl3_97 ),
inference(forward_demodulation,[],[f5544,f632]) ).
fof(f5544,plain,
( e3 = op(e3,e0)
| ~ spl3_73
| ~ spl3_97 ),
inference(forward_demodulation,[],[f611,f714]) ).
fof(f7964,plain,
( spl3_5
| ~ spl3_71
| ~ spl3_78
| ~ spl3_101 ),
inference(avatar_split_clause,[],[f6680,f730,f631,f599,f272]) ).
fof(f6680,plain,
( e1 = e3
| ~ spl3_71
| ~ spl3_78
| ~ spl3_101 ),
inference(forward_demodulation,[],[f6679,f632]) ).
fof(f6679,plain,
( e3 = op(e3,e0)
| ~ spl3_71
| ~ spl3_101 ),
inference(superposition,[],[f601,f732]) ).
fof(f7882,plain,
( spl3_3
| ~ spl3_73
| ~ spl3_97
| ~ spl3_117 ),
inference(avatar_split_clause,[],[f7809,f906,f713,f609,f262]) ).
fof(f7809,plain,
( e0 = e3
| ~ spl3_73
| ~ spl3_97
| ~ spl3_117 ),
inference(forward_demodulation,[],[f5544,f908]) ).
fof(f7851,plain,
( spl3_2
| ~ spl3_90
| ~ spl3_122 ),
inference(avatar_split_clause,[],[f7806,f1072,f683,f257]) ).
fof(f7806,plain,
( e0 = e2
| ~ spl3_90
| ~ spl3_122 ),
inference(forward_demodulation,[],[f1074,f684]) ).
fof(f7821,plain,
( spl3_2
| ~ spl3_83
| ~ spl3_90
| ~ spl3_132
| ~ spl3_135 ),
inference(avatar_split_clause,[],[f7785,f2944,f1487,f683,f653,f257]) ).
fof(f7785,plain,
( e0 = e2
| ~ spl3_83
| ~ spl3_90
| ~ spl3_132
| ~ spl3_135 ),
inference(forward_demodulation,[],[f7784,f684]) ).
fof(f7784,plain,
( e2 = op(e1,e2)
| ~ spl3_83
| ~ spl3_132
| ~ spl3_135 ),
inference(forward_demodulation,[],[f1489,f4461]) ).
fof(f7761,plain,
( spl3_4
| ~ spl3_83
| ~ spl3_92 ),
inference(avatar_split_clause,[],[f7749,f692,f653,f267]) ).
fof(f7749,plain,
( e1 = e2
| ~ spl3_83
| ~ spl3_92 ),
inference(superposition,[],[f654,f693]) ).
fof(f7745,plain,
( spl3_83
| spl3_5
| spl3_1
| ~ spl3_117
| ~ spl3_126
| ~ spl3_129 ),
inference(avatar_split_clause,[],[f6207,f1193,f1126,f906,f252,f272,f653]) ).
fof(f6207,plain,
( e0 = e1
| e1 = e3
| e1 = op(e3,e3)
| ~ spl3_117
| ~ spl3_126
| ~ spl3_129 ),
inference(forward_demodulation,[],[f6206,f908]) ).
fof(f6206,plain,
( e1 = e3
| e1 = op(e3,e3)
| e1 = op(e3,e0)
| ~ spl3_126
| ~ spl3_129 ),
inference(duplicate_literal_removal,[],[f6205]) ).
fof(f6205,plain,
( e1 = e3
| e1 = e3
| e1 = op(e3,e3)
| e1 = op(e3,e0)
| ~ spl3_126
| ~ spl3_129 ),
inference(forward_demodulation,[],[f4143,f1128]) ).
fof(f4143,plain,
( e1 = e3
| e1 = op(e3,e3)
| e1 = op(e3,e1)
| e1 = op(e3,e0)
| ~ spl3_129 ),
inference(forward_demodulation,[],[f141,f1195]) ).
fof(f7737,plain,
( spl3_101
| ~ spl3_58
| ~ spl3_76 ),
inference(avatar_split_clause,[],[f7616,f622,f535,f730]) ).
fof(f7616,plain,
( e0 = op(e0,e3)
| ~ spl3_58
| ~ spl3_76 ),
inference(forward_demodulation,[],[f537,f623]) ).
fof(f7735,plain,
( spl3_100
| ~ spl3_56
| ~ spl3_111 ),
inference(avatar_split_clause,[],[f7512,f813,f526,f726]) ).
fof(f7733,plain,
( spl3_105
| ~ spl3_62
| ~ spl3_81 ),
inference(avatar_split_clause,[],[f7508,f644,f554,f757]) ).
fof(f7675,plain,
( spl3_4
| ~ spl3_71
| ~ spl3_92
| ~ spl3_101
| ~ spl3_102
| ~ spl3_117 ),
inference(avatar_split_clause,[],[f7622,f906,f736,f730,f692,f599,f267]) ).
fof(f7622,plain,
( e1 = e2
| ~ spl3_71
| ~ spl3_92
| ~ spl3_101
| ~ spl3_102
| ~ spl3_117 ),
inference(forward_demodulation,[],[f7600,f738]) ).
fof(f7600,plain,
( op(e0,e0) = e2
| ~ spl3_71
| ~ spl3_92
| ~ spl3_101
| ~ spl3_117 ),
inference(forward_demodulation,[],[f693,f7591]) ).
fof(f7591,plain,
( e0 = e3
| ~ spl3_71
| ~ spl3_101
| ~ spl3_117 ),
inference(forward_demodulation,[],[f6679,f908]) ).
fof(f7618,plain,
( spl3_4
| ~ spl3_80
| ~ spl3_133 ),
inference(avatar_split_clause,[],[f7529,f2279,f640,f267]) ).
fof(f7529,plain,
( e1 = e2
| ~ spl3_80
| ~ spl3_133 ),
inference(forward_demodulation,[],[f2281,f641]) ).
fof(f7536,plain,
( spl3_1
| ~ spl3_56
| ~ spl3_66
| ~ spl3_80
| ~ spl3_81
| ~ spl3_111 ),
inference(avatar_split_clause,[],[f7519,f813,f644,f640,f574,f526,f252]) ).
fof(f7519,plain,
( e0 = e1
| ~ spl3_56
| ~ spl3_66
| ~ spl3_80
| ~ spl3_81
| ~ spl3_111 ),
inference(forward_demodulation,[],[f5631,f7513]) ).
fof(f7513,plain,
( e0 = op(e0,e0)
| ~ spl3_56
| ~ spl3_66
| ~ spl3_80
| ~ spl3_81
| ~ spl3_111 ),
inference(forward_demodulation,[],[f7512,f5627]) ).
fof(f5627,plain,
( e0 = e2
| ~ spl3_66
| ~ spl3_80
| ~ spl3_81 ),
inference(forward_demodulation,[],[f1836,f645]) ).
fof(f1836,plain,
( e2 = op(e2,e1)
| ~ spl3_66
| ~ spl3_80 ),
inference(superposition,[],[f576,f641]) ).
fof(f5631,plain,
( op(e0,e0) = e1
| ~ spl3_66
| ~ spl3_80
| ~ spl3_81 ),
inference(forward_demodulation,[],[f641,f5627]) ).
fof(f7514,plain,
( spl3_1
| ~ spl3_66
| ~ spl3_80
| ~ spl3_81
| ~ spl3_98 ),
inference(avatar_split_clause,[],[f7503,f718,f644,f640,f574,f252]) ).
fof(f7503,plain,
( e0 = e1
| ~ spl3_66
| ~ spl3_80
| ~ spl3_81
| ~ spl3_98 ),
inference(forward_demodulation,[],[f5631,f720]) ).
fof(f7481,plain,
( spl3_131
| spl3_2
| spl3_4
| ~ spl3_81
| ~ spl3_103
| ~ spl3_123 ),
inference(avatar_split_clause,[],[f6436,f1092,f740,f644,f267,f257,f1483]) ).
fof(f6436,plain,
( e1 = e2
| e0 = e2
| e2 = op(e3,e1)
| ~ spl3_81
| ~ spl3_103
| ~ spl3_123 ),
inference(duplicate_literal_removal,[],[f6435]) ).
fof(f6435,plain,
( e1 = e2
| e1 = e2
| e0 = e2
| e2 = op(e3,e1)
| ~ spl3_81
| ~ spl3_103
| ~ spl3_123 ),
inference(forward_demodulation,[],[f6434,f742]) ).
fof(f6434,plain,
( e1 = e2
| e0 = e2
| e2 = op(e3,e1)
| e2 = op(e0,e1)
| ~ spl3_81
| ~ spl3_123 ),
inference(forward_demodulation,[],[f4926,f1094]) ).
fof(f7331,plain,
( spl3_4
| ~ spl3_68
| ~ spl3_80
| ~ spl3_132 ),
inference(avatar_split_clause,[],[f7034,f1487,f640,f584,f267]) ).
fof(f7034,plain,
( e1 = e2
| ~ spl3_68
| ~ spl3_80
| ~ spl3_132 ),
inference(forward_demodulation,[],[f4220,f641]) ).
fof(f7255,plain,
( spl3_81
| ~ spl3_70
| ~ spl3_78
| ~ spl3_88 ),
inference(avatar_split_clause,[],[f7223,f674,f631,f594,f644]) ).
fof(f7223,plain,
( e0 = op(e2,e1)
| ~ spl3_70
| ~ spl3_78
| ~ spl3_88 ),
inference(forward_demodulation,[],[f675,f7222]) ).
fof(f7222,plain,
( e1 = e3
| ~ spl3_70
| ~ spl3_78
| ~ spl3_88 ),
inference(forward_demodulation,[],[f2925,f632]) ).
fof(f7167,plain,
( spl3_5
| ~ spl3_72
| ~ spl3_77
| ~ spl3_78 ),
inference(avatar_split_clause,[],[f7164,f631,f627,f604,f272]) ).
fof(f7164,plain,
( e1 = e3
| ~ spl3_72
| ~ spl3_77
| ~ spl3_78 ),
inference(forward_demodulation,[],[f3522,f632]) ).
fof(f3522,plain,
( e3 = op(e3,e0)
| ~ spl3_72
| ~ spl3_77 ),
inference(forward_demodulation,[],[f606,f628]) ).
fof(f7158,plain,
( spl3_77
| spl3_2
| spl3_1
| ~ spl3_87
| ~ spl3_96
| ~ spl3_104 ),
inference(avatar_split_clause,[],[f7119,f744,f709,f670,f252,f257,f627]) ).
fof(f7119,plain,
( e0 = e1
| e0 = e2
| e0 = op(e3,e3)
| ~ spl3_87
| ~ spl3_96
| ~ spl3_104 ),
inference(duplicate_literal_removal,[],[f7118]) ).
fof(f7118,plain,
( e0 = e1
| e0 = e2
| e0 = e1
| e0 = op(e3,e3)
| ~ spl3_87
| ~ spl3_96
| ~ spl3_104 ),
inference(forward_demodulation,[],[f6548,f746]) ).
fof(f6548,plain,
( e0 = e2
| e0 = e1
| e0 = op(e3,e3)
| e0 = op(e0,e3)
| ~ spl3_87
| ~ spl3_96 ),
inference(forward_demodulation,[],[f5763,f671]) ).
fof(f7130,plain,
( spl3_5
| ~ spl3_70
| ~ spl3_96
| ~ spl3_125 ),
inference(avatar_split_clause,[],[f7120,f1100,f709,f594,f272]) ).
fof(f7120,plain,
( e1 = e3
| ~ spl3_70
| ~ spl3_96
| ~ spl3_125 ),
inference(forward_demodulation,[],[f5746,f1102]) ).
fof(f5746,plain,
( e3 = op(e3,e1)
| ~ spl3_70
| ~ spl3_96 ),
inference(forward_demodulation,[],[f596,f710]) ).
fof(f7088,plain,
( spl3_118
| ~ spl3_68
| ~ spl3_80
| ~ spl3_116
| ~ spl3_132 ),
inference(avatar_split_clause,[],[f7087,f1487,f902,f640,f584,f950]) ).
fof(f7087,plain,
( e0 = op(e1,e0)
| ~ spl3_68
| ~ spl3_80
| ~ spl3_116
| ~ spl3_132 ),
inference(forward_demodulation,[],[f904,f7034]) ).
fof(f7055,plain,
( spl3_117
| spl3_3
| spl3_2
| ~ spl3_76
| ~ spl3_106
| ~ spl3_120 ),
inference(avatar_split_clause,[],[f6646,f1035,f766,f622,f257,f262,f906]) ).
fof(f6646,plain,
( e0 = e2
| e0 = e3
| e0 = op(e3,e0)
| ~ spl3_76
| ~ spl3_106
| ~ spl3_120 ),
inference(forward_demodulation,[],[f6630,f768]) ).
fof(f6630,plain,
( e0 = e3
| e0 = op(e3,e0)
| e0 = op(e0,e0)
| ~ spl3_76
| ~ spl3_120 ),
inference(duplicate_literal_removal,[],[f5726]) ).
fof(f5726,plain,
( e0 = e3
| e0 = e3
| e0 = op(e3,e0)
| e0 = op(e0,e0)
| ~ spl3_76
| ~ spl3_120 ),
inference(forward_demodulation,[],[f3451,f1037]) ).
fof(f3451,plain,
( e0 = e3
| e0 = op(e3,e0)
| e0 = op(e2,e0)
| e0 = op(e0,e0)
| ~ spl3_76 ),
inference(forward_demodulation,[],[f116,f623]) ).
fof(f7037,plain,
( spl3_125
| ~ spl3_68
| ~ spl3_80
| ~ spl3_132 ),
inference(avatar_split_clause,[],[f7035,f1487,f640,f584,f1100]) ).
fof(f7035,plain,
( e1 = op(e3,e1)
| ~ spl3_68
| ~ spl3_80
| ~ spl3_132 ),
inference(forward_demodulation,[],[f1489,f7034]) ).
fof(f7028,plain,
( spl3_129
| ~ spl3_72
| ~ spl3_92 ),
inference(avatar_split_clause,[],[f6904,f692,f604,f1193]) ).
fof(f6904,plain,
( e3 = op(e3,e2)
| ~ spl3_72
| ~ spl3_92 ),
inference(forward_demodulation,[],[f606,f693]) ).
fof(f7026,plain,
( ~ spl3_111
| spl3_69
| ~ spl3_90 ),
inference(avatar_split_clause,[],[f6651,f683,f589,f813]) ).
fof(f6651,plain,
( e2 != op(e2,e0)
| spl3_69
| ~ spl3_90 ),
inference(forward_demodulation,[],[f590,f684]) ).
fof(f590,plain,
( e2 != op(e2,op(e1,e2))
| spl3_69 ),
inference(avatar_component_clause,[],[f589]) ).
fof(f7002,plain,
( spl3_114
| spl3_6
| ~ spl3_87
| ~ spl3_92
| ~ spl3_136 ),
inference(avatar_split_clause,[],[f6967,f3629,f692,f670,f277,f839]) ).
fof(f6967,plain,
( e2 = e3
| e3 = op(e0,e3)
| ~ spl3_87
| ~ spl3_92
| ~ spl3_136 ),
inference(duplicate_literal_removal,[],[f6966]) ).
fof(f6966,plain,
( e2 = e3
| e2 = e3
| e3 = op(e0,e3)
| ~ spl3_87
| ~ spl3_92
| ~ spl3_136 ),
inference(forward_demodulation,[],[f6752,f693]) ).
fof(f6752,plain,
( e2 = e3
| e3 = op(e3,e3)
| e3 = op(e0,e3)
| ~ spl3_87
| ~ spl3_136 ),
inference(duplicate_literal_removal,[],[f6751]) ).
fof(f6751,plain,
( e2 = e3
| e2 = e3
| e3 = op(e3,e3)
| e3 = op(e0,e3)
| ~ spl3_87
| ~ spl3_136 ),
inference(forward_demodulation,[],[f6750,f671]) ).
fof(f6998,plain,
( ~ spl3_101
| spl3_58
| ~ spl3_76 ),
inference(avatar_split_clause,[],[f6811,f622,f535,f730]) ).
fof(f6811,plain,
( e0 != op(e0,e3)
| spl3_58
| ~ spl3_76 ),
inference(forward_demodulation,[],[f536,f623]) ).
fof(f6996,plain,
( ~ spl3_129
| spl3_70
| ~ spl3_136 ),
inference(avatar_split_clause,[],[f6721,f3629,f594,f1193]) ).
fof(f6945,plain,
( spl3_5
| ~ spl3_68
| ~ spl3_78
| ~ spl3_88
| ~ spl3_129 ),
inference(avatar_split_clause,[],[f6906,f1193,f674,f631,f584,f272]) ).
fof(f6906,plain,
( e1 = e3
| ~ spl3_68
| ~ spl3_78
| ~ spl3_88
| ~ spl3_129 ),
inference(forward_demodulation,[],[f4587,f632]) ).
fof(f4587,plain,
( e3 = op(e3,e0)
| ~ spl3_68
| ~ spl3_88
| ~ spl3_129 ),
inference(forward_demodulation,[],[f1195,f4584]) ).
fof(f4584,plain,
( e0 = e2
| ~ spl3_68
| ~ spl3_88
| ~ spl3_129 ),
inference(forward_demodulation,[],[f3707,f675]) ).
fof(f3707,plain,
( e2 = op(e2,e3)
| ~ spl3_68
| ~ spl3_129 ),
inference(superposition,[],[f586,f1195]) ).
fof(f6915,plain,
( spl3_1
| ~ spl3_60
| ~ spl3_94
| ~ spl3_106 ),
inference(avatar_split_clause,[],[f6903,f766,f700,f544,f252]) ).
fof(f6903,plain,
( e0 = e1
| ~ spl3_60
| ~ spl3_94
| ~ spl3_106 ),
inference(forward_demodulation,[],[f701,f6676]) ).
fof(f6676,plain,
( e0 = op(e0,e2)
| ~ spl3_60
| ~ spl3_106 ),
inference(superposition,[],[f546,f768]) ).
fof(f6855,plain,
( spl3_135
| ~ spl3_71
| ~ spl3_114 ),
inference(avatar_split_clause,[],[f2249,f839,f599,f2944]) ).
fof(f2249,plain,
( e3 = op(e3,e3)
| ~ spl3_71
| ~ spl3_114 ),
inference(forward_demodulation,[],[f601,f841]) ).
fof(f6813,plain,
( spl3_3
| ~ spl3_56
| ~ spl3_114
| ~ spl3_120 ),
inference(avatar_split_clause,[],[f6770,f1035,f839,f526,f262]) ).
fof(f6770,plain,
( e0 = e3
| ~ spl3_56
| ~ spl3_114
| ~ spl3_120 ),
inference(forward_demodulation,[],[f841,f6666]) ).
fof(f6666,plain,
( e0 = op(e0,e3)
| ~ spl3_56
| ~ spl3_120 ),
inference(superposition,[],[f528,f1037]) ).
fof(f6723,plain,
( spl3_2
| ~ spl3_71
| ~ spl3_78
| ~ spl3_90
| ~ spl3_101
| ~ spl3_132 ),
inference(avatar_split_clause,[],[f6715,f1487,f730,f683,f631,f599,f257]) ).
fof(f6715,plain,
( e0 = e2
| ~ spl3_71
| ~ spl3_78
| ~ spl3_90
| ~ spl3_101
| ~ spl3_132 ),
inference(forward_demodulation,[],[f6714,f684]) ).
fof(f6714,plain,
( e2 = op(e1,e2)
| ~ spl3_71
| ~ spl3_78
| ~ spl3_101
| ~ spl3_132 ),
inference(forward_demodulation,[],[f1489,f6680]) ).
fof(f6681,plain,
( spl3_114
| spl3_6
| ~ spl3_67
| ~ spl3_87
| ~ spl3_91
| ~ spl3_92 ),
inference(avatar_split_clause,[],[f6546,f692,f687,f670,f579,f277,f839]) ).
fof(f6546,plain,
( e2 = e3
| e3 = op(e0,e3)
| ~ spl3_67
| ~ spl3_87
| ~ spl3_91
| ~ spl3_92 ),
inference(duplicate_literal_removal,[],[f6545]) ).
fof(f6545,plain,
( e2 = e3
| e2 = e3
| e3 = op(e0,e3)
| ~ spl3_67
| ~ spl3_87
| ~ spl3_91
| ~ spl3_92 ),
inference(forward_demodulation,[],[f6544,f6336]) ).
fof(f6336,plain,
( e2 = op(e2,e3)
| ~ spl3_67
| ~ spl3_91 ),
inference(forward_demodulation,[],[f581,f688]) ).
fof(f6544,plain,
( e2 = e3
| e3 = op(e2,e3)
| e3 = op(e0,e3)
| ~ spl3_87
| ~ spl3_92 ),
inference(duplicate_literal_removal,[],[f6543]) ).
fof(f6543,plain,
( e2 = e3
| e2 = e3
| e3 = op(e2,e3)
| e3 = op(e0,e3)
| ~ spl3_87
| ~ spl3_92 ),
inference(forward_demodulation,[],[f5021,f693]) ).
fof(f6652,plain,
( spl3_4
| ~ spl3_96
| ~ spl3_136 ),
inference(avatar_split_clause,[],[f6643,f3629,f709,f267]) ).
fof(f6643,plain,
( e1 = e2
| ~ spl3_96
| ~ spl3_136 ),
inference(forward_demodulation,[],[f3630,f710]) ).
fof(f6629,plain,
( spl3_136
| ~ spl3_67
| ~ spl3_91 ),
inference(avatar_split_clause,[],[f6336,f687,f579,f3629]) ).
fof(f6616,plain,
( ~ spl3_101
| spl3_58
| ~ spl3_76 ),
inference(avatar_split_clause,[],[f5839,f622,f535,f730]) ).
fof(f5839,plain,
( e0 != op(e0,e3)
| spl3_58
| ~ spl3_76 ),
inference(forward_demodulation,[],[f536,f623]) ).
fof(f6558,plain,
( spl3_2
| ~ spl3_63
| ~ spl3_69
| ~ spl3_81
| ~ spl3_85 ),
inference(avatar_split_clause,[],[f6552,f661,f644,f589,f559,f257]) ).
fof(f6552,plain,
( e0 = e2
| ~ spl3_63
| ~ spl3_69
| ~ spl3_81
| ~ spl3_85 ),
inference(forward_demodulation,[],[f5117,f645]) ).
fof(f6534,plain,
( spl3_6
| ~ spl3_67
| ~ spl3_87
| ~ spl3_91
| ~ spl3_92
| ~ spl3_108 ),
inference(avatar_split_clause,[],[f6515,f774,f692,f687,f670,f579,f277]) ).
fof(f6515,plain,
( e2 = e3
| ~ spl3_67
| ~ spl3_87
| ~ spl3_91
| ~ spl3_92
| ~ spl3_108 ),
inference(duplicate_literal_removal,[],[f6514]) ).
fof(f6514,plain,
( e2 = e3
| e2 = e3
| ~ spl3_67
| ~ spl3_87
| ~ spl3_91
| ~ spl3_92
| ~ spl3_108 ),
inference(forward_demodulation,[],[f6513,f6336]) ).
fof(f6513,plain,
( e2 = e3
| e3 = op(e2,e3)
| ~ spl3_87
| ~ spl3_92
| ~ spl3_108 ),
inference(duplicate_literal_removal,[],[f6512]) ).
fof(f6512,plain,
( e2 = e3
| e2 = e3
| e3 = op(e2,e3)
| ~ spl3_87
| ~ spl3_92
| ~ spl3_108 ),
inference(forward_demodulation,[],[f5965,f693]) ).
fof(f5965,plain,
( e2 = e3
| e3 = op(e3,e3)
| e3 = op(e2,e3)
| ~ spl3_87
| ~ spl3_108 ),
inference(duplicate_literal_removal,[],[f5964]) ).
fof(f5964,plain,
( e2 = e3
| e2 = e3
| e3 = op(e3,e3)
| e3 = op(e2,e3)
| ~ spl3_87
| ~ spl3_108 ),
inference(forward_demodulation,[],[f4791,f671]) ).
fof(f6475,plain,
( spl3_6
| ~ spl3_67
| ~ spl3_91
| ~ spl3_127 ),
inference(avatar_split_clause,[],[f6439,f1150,f687,f579,f277]) ).
fof(f6439,plain,
( e2 = e3
| ~ spl3_67
| ~ spl3_91
| ~ spl3_127 ),
inference(forward_demodulation,[],[f1152,f6336]) ).
fof(f6427,plain,
( spl3_6
| ~ spl3_92
| ~ spl3_135 ),
inference(avatar_split_clause,[],[f6071,f2944,f692,f277]) ).
fof(f6071,plain,
( e2 = e3
| ~ spl3_92
| ~ spl3_135 ),
inference(superposition,[],[f2945,f693]) ).
fof(f6340,plain,
( spl3_1
| ~ spl3_78
| ~ spl3_117 ),
inference(avatar_split_clause,[],[f6328,f906,f631,f252]) ).
fof(f6328,plain,
( e0 = e1
| ~ spl3_78
| ~ spl3_117 ),
inference(forward_demodulation,[],[f632,f908]) ).
fof(f6277,plain,
( spl3_1
| ~ spl3_62
| ~ spl3_97
| ~ spl3_115 ),
inference(avatar_split_clause,[],[f1869,f896,f713,f554,f252]) ).
fof(f1869,plain,
( e0 = e1
| ~ spl3_62
| ~ spl3_97
| ~ spl3_115 ),
inference(forward_demodulation,[],[f1865,f714]) ).
fof(f6194,plain,
( spl3_118
| ~ spl3_66
| ~ spl3_80
| ~ spl3_81
| ~ spl3_122 ),
inference(avatar_split_clause,[],[f6170,f1072,f644,f640,f574,f950]) ).
fof(f6170,plain,
( e0 = op(e1,e0)
| ~ spl3_66
| ~ spl3_80
| ~ spl3_81
| ~ spl3_122 ),
inference(forward_demodulation,[],[f1074,f5627]) ).
fof(f6088,plain,
( spl3_83
| spl3_5
| spl3_4
| ~ spl3_87
| ~ spl3_108
| ~ spl3_127 ),
inference(avatar_split_clause,[],[f5971,f1150,f774,f670,f267,f272,f653]) ).
fof(f5971,plain,
( e1 = e2
| e1 = e3
| e1 = op(e3,e3)
| ~ spl3_87
| ~ spl3_108
| ~ spl3_127 ),
inference(duplicate_literal_removal,[],[f5970]) ).
fof(f5970,plain,
( e1 = e2
| e1 = e3
| e1 = e2
| e1 = op(e3,e3)
| ~ spl3_87
| ~ spl3_108
| ~ spl3_127 ),
inference(forward_demodulation,[],[f5189,f671]) ).
fof(f5189,plain,
( e1 = e3
| e1 = e2
| e1 = op(e3,e3)
| e1 = op(e1,e3)
| ~ spl3_108
| ~ spl3_127 ),
inference(forward_demodulation,[],[f4792,f1152]) ).
fof(f4792,plain,
( e1 = e2
| e1 = op(e3,e3)
| e1 = op(e2,e3)
| e1 = op(e1,e3)
| ~ spl3_108 ),
inference(forward_demodulation,[],[f142,f776]) ).
fof(f6085,plain,
( ~ spl3_111
| spl3_69
| ~ spl3_90 ),
inference(avatar_split_clause,[],[f5837,f683,f589,f813]) ).
fof(f5837,plain,
( e2 != op(e2,e0)
| spl3_69
| ~ spl3_90 ),
inference(forward_demodulation,[],[f590,f684]) ).
fof(f6041,plain,
( spl3_98
| ~ spl3_56
| ~ spl3_116 ),
inference(avatar_split_clause,[],[f1014,f902,f526,f718]) ).
fof(f1014,plain,
( e0 = op(e0,e0)
| ~ spl3_56
| ~ spl3_116 ),
inference(superposition,[],[f528,f904]) ).
fof(f6023,plain,
( spl3_135
| ~ spl3_70
| ~ spl3_127 ),
inference(avatar_split_clause,[],[f5565,f1150,f594,f2944]) ).
fof(f5565,plain,
( e3 = op(e3,e3)
| ~ spl3_70
| ~ spl3_127 ),
inference(forward_demodulation,[],[f596,f1152]) ).
fof(f5959,plain,
( spl3_3
| ~ spl3_77
| ~ spl3_135 ),
inference(avatar_split_clause,[],[f5876,f2944,f627,f262]) ).
fof(f5876,plain,
( e0 = e3
| ~ spl3_77
| ~ spl3_135 ),
inference(forward_demodulation,[],[f2945,f628]) ).
fof(f5840,plain,
( spl3_4
| ~ spl3_62
| ~ spl3_87
| ~ spl3_115 ),
inference(avatar_split_clause,[],[f5812,f896,f670,f554,f267]) ).
fof(f5812,plain,
( e1 = e2
| ~ spl3_62
| ~ spl3_87
| ~ spl3_115 ),
inference(forward_demodulation,[],[f671,f1865]) ).
fof(f5751,plain,
( spl3_117
| spl3_1
| spl3_3
| ~ spl3_76
| ~ spl3_102
| ~ spl3_120 ),
inference(avatar_split_clause,[],[f3870,f1035,f736,f622,f262,f252,f906]) ).
fof(f3870,plain,
( e0 = e3
| e0 = e1
| e0 = op(e3,e0)
| ~ spl3_76
| ~ spl3_102
| ~ spl3_120 ),
inference(duplicate_literal_removal,[],[f3869]) ).
fof(f3869,plain,
( e0 = e3
| e0 = e3
| e0 = e1
| e0 = op(e3,e0)
| ~ spl3_76
| ~ spl3_102
| ~ spl3_120 ),
inference(forward_demodulation,[],[f3834,f1037]) ).
fof(f3834,plain,
( e0 = e3
| e0 = e1
| e0 = op(e3,e0)
| e0 = op(e2,e0)
| ~ spl3_76
| ~ spl3_102 ),
inference(forward_demodulation,[],[f1755,f623]) ).
fof(f5740,plain,
( spl3_129
| ~ spl3_67
| ~ spl3_70
| ~ spl3_91 ),
inference(avatar_split_clause,[],[f5699,f687,f594,f579,f1193]) ).
fof(f5699,plain,
( e3 = op(e3,e2)
| ~ spl3_67
| ~ spl3_70
| ~ spl3_91 ),
inference(forward_demodulation,[],[f596,f5310]) ).
fof(f5310,plain,
( e2 = op(e2,e3)
| ~ spl3_67
| ~ spl3_91 ),
inference(superposition,[],[f581,f688]) ).
fof(f5723,plain,
( spl3_3
| ~ spl3_116
| ~ spl3_120 ),
inference(avatar_split_clause,[],[f5717,f1035,f902,f262]) ).
fof(f5717,plain,
( e0 = e3
| ~ spl3_116
| ~ spl3_120 ),
inference(forward_demodulation,[],[f1037,f904]) ).
fof(f5682,plain,
( spl3_99
| ~ spl3_66
| ~ spl3_80
| ~ spl3_81
| ~ spl3_102 ),
inference(avatar_split_clause,[],[f5660,f736,f644,f640,f574,f722]) ).
fof(f5660,plain,
( e0 = op(e0,e1)
| ~ spl3_66
| ~ spl3_80
| ~ spl3_81
| ~ spl3_102 ),
inference(forward_demodulation,[],[f5659,f738]) ).
fof(f5659,plain,
( e0 = op(e0,op(e0,e0))
| ~ spl3_66
| ~ spl3_80
| ~ spl3_81 ),
inference(forward_demodulation,[],[f576,f5627]) ).
fof(f5651,plain,
( spl3_78
| ~ spl3_66
| ~ spl3_80
| ~ spl3_81
| ~ spl3_134 ),
inference(avatar_split_clause,[],[f5650,f2369,f644,f640,f574,f631]) ).
fof(f5650,plain,
( e1 = op(e3,e0)
| ~ spl3_66
| ~ spl3_80
| ~ spl3_81
| ~ spl3_134 ),
inference(forward_demodulation,[],[f2371,f5627]) ).
fof(f5645,plain,
( spl3_134
| spl3_4
| spl3_5
| ~ spl3_91
| ~ spl3_122
| ~ spl3_133 ),
inference(avatar_split_clause,[],[f5396,f2279,f1072,f687,f272,f267,f2369]) ).
fof(f5396,plain,
( e1 = e3
| e1 = e2
| e1 = op(e3,e2)
| ~ spl3_91
| ~ spl3_122
| ~ spl3_133 ),
inference(forward_demodulation,[],[f5395,f688]) ).
fof(f5395,plain,
( e1 = e2
| e1 = op(e3,e2)
| e1 = op(e0,e2)
| ~ spl3_122
| ~ spl3_133 ),
inference(duplicate_literal_removal,[],[f5394]) ).
fof(f5394,plain,
( e1 = e2
| e1 = e2
| e1 = op(e3,e2)
| e1 = op(e0,e2)
| ~ spl3_122
| ~ spl3_133 ),
inference(forward_demodulation,[],[f2328,f1074]) ).
fof(f2328,plain,
( e1 = e2
| e1 = op(e3,e2)
| e1 = op(e1,e2)
| e1 = op(e0,e2)
| ~ spl3_133 ),
inference(forward_demodulation,[],[f134,f2281]) ).
fof(f5633,plain,
( spl3_135
| ~ spl3_70
| ~ spl3_127 ),
inference(avatar_split_clause,[],[f5565,f1150,f594,f2944]) ).
fof(f5622,plain,
( spl3_5
| ~ spl3_96
| ~ spl3_127 ),
inference(avatar_split_clause,[],[f5592,f1150,f709,f272]) ).
fof(f5592,plain,
( e1 = e3
| ~ spl3_96
| ~ spl3_127 ),
inference(superposition,[],[f710,f1152]) ).
fof(f5571,plain,
( spl3_5
| ~ spl3_70
| ~ spl3_83
| ~ spl3_127 ),
inference(avatar_split_clause,[],[f5564,f1150,f653,f594,f272]) ).
fof(f5564,plain,
( e1 = e3
| ~ spl3_70
| ~ spl3_83
| ~ spl3_127 ),
inference(forward_demodulation,[],[f1180,f654]) ).
fof(f1180,plain,
( e3 = op(e3,e3)
| ~ spl3_70
| ~ spl3_127 ),
inference(superposition,[],[f596,f1152]) ).
fof(f5556,plain,
( spl3_2
| ~ spl3_73
| ~ spl3_97
| ~ spl3_112
| ~ spl3_122 ),
inference(avatar_split_clause,[],[f5150,f1072,f817,f713,f609,f257]) ).
fof(f5150,plain,
( e0 = e2
| ~ spl3_73
| ~ spl3_97
| ~ spl3_112
| ~ spl3_122 ),
inference(forward_demodulation,[],[f1074,f5125]) ).
fof(f5497,plain,
( spl3_118
| ~ spl3_90
| ~ spl3_98
| ~ spl3_106 ),
inference(avatar_split_clause,[],[f4978,f766,f718,f683,f950]) ).
fof(f4978,plain,
( e0 = op(e1,e0)
| ~ spl3_90
| ~ spl3_98
| ~ spl3_106 ),
inference(forward_demodulation,[],[f684,f4253]) ).
fof(f5442,plain,
( spl3_6
| ~ spl3_91
| ~ spl3_107 ),
inference(avatar_split_clause,[],[f5405,f770,f687,f277]) ).
fof(f5405,plain,
( e2 = e3
| ~ spl3_91
| ~ spl3_107 ),
inference(superposition,[],[f772,f688]) ).
fof(f5436,plain,
( spl3_80
| ~ spl3_91
| ~ spl3_107
| ~ spl3_134 ),
inference(avatar_split_clause,[],[f5435,f2369,f770,f687,f640]) ).
fof(f5435,plain,
( e1 = op(e2,e2)
| ~ spl3_91
| ~ spl3_107
| ~ spl3_134 ),
inference(forward_demodulation,[],[f2371,f5405]) ).
fof(f5415,plain,
( spl3_134
| spl3_4
| ~ spl3_107
| ~ spl3_122
| ~ spl3_133 ),
inference(avatar_split_clause,[],[f5401,f2279,f1072,f770,f267,f2369]) ).
fof(f5401,plain,
( e1 = e2
| e1 = op(e3,e2)
| ~ spl3_107
| ~ spl3_122
| ~ spl3_133 ),
inference(duplicate_literal_removal,[],[f5400]) ).
fof(f5400,plain,
( e1 = e2
| e1 = e2
| e1 = op(e3,e2)
| ~ spl3_107
| ~ spl3_122
| ~ spl3_133 ),
inference(forward_demodulation,[],[f2330,f1074]) ).
fof(f2330,plain,
( e1 = e2
| e1 = op(e3,e2)
| e1 = op(e1,e2)
| ~ spl3_107
| ~ spl3_133 ),
inference(duplicate_literal_removal,[],[f2329]) ).
fof(f2329,plain,
( e1 = e2
| e1 = e2
| e1 = op(e3,e2)
| e1 = op(e1,e2)
| ~ spl3_107
| ~ spl3_133 ),
inference(forward_demodulation,[],[f2328,f772]) ).
fof(f5413,plain,
( ~ spl3_126
| spl3_72
| ~ spl3_83 ),
inference(avatar_split_clause,[],[f5338,f653,f604,f1126]) ).
fof(f5338,plain,
( e3 != op(e3,e1)
| spl3_72
| ~ spl3_83 ),
inference(forward_demodulation,[],[f605,f654]) ).
fof(f5382,plain,
( spl3_77
| spl3_3
| spl3_2
| ~ spl3_112
| ~ spl3_126
| ~ spl3_129 ),
inference(avatar_split_clause,[],[f5362,f1193,f1126,f817,f257,f262,f627]) ).
fof(f5362,plain,
( e0 = e2
| e0 = e3
| e0 = op(e3,e3)
| ~ spl3_112
| ~ spl3_126
| ~ spl3_129 ),
inference(forward_demodulation,[],[f4959,f819]) ).
fof(f4959,plain,
( e0 = e3
| e0 = op(e3,e3)
| e0 = op(e3,e0)
| ~ spl3_126
| ~ spl3_129 ),
inference(duplicate_literal_removal,[],[f4958]) ).
fof(f4958,plain,
( e0 = e3
| e0 = e3
| e0 = op(e3,e3)
| e0 = op(e3,e0)
| ~ spl3_126
| ~ spl3_129 ),
inference(forward_demodulation,[],[f3994,f1128]) ).
fof(f3994,plain,
( e0 = e3
| e0 = op(e3,e3)
| e0 = op(e3,e1)
| e0 = op(e3,e0)
| ~ spl3_129 ),
inference(forward_demodulation,[],[f139,f1195]) ).
fof(f5357,plain,
( spl3_84
| spl3_1
| spl3_3
| ~ spl3_103
| ~ spl3_115
| ~ spl3_123 ),
inference(avatar_split_clause,[],[f5314,f1092,f896,f740,f262,f252,f657]) ).
fof(f5314,plain,
( e0 = e3
| e0 = e1
| e0 = op(e3,e1)
| ~ spl3_103
| ~ spl3_115
| ~ spl3_123 ),
inference(forward_demodulation,[],[f5193,f897]) ).
fof(f5193,plain,
( e0 = e1
| e0 = op(e3,e1)
| e0 = op(e2,e1)
| ~ spl3_103
| ~ spl3_123 ),
inference(duplicate_literal_removal,[],[f5192]) ).
fof(f5192,plain,
( e0 = e1
| e0 = e1
| e0 = op(e3,e1)
| e0 = op(e2,e1)
| ~ spl3_103
| ~ spl3_123 ),
inference(forward_demodulation,[],[f5015,f742]) ).
fof(f5315,plain,
( spl3_131
| spl3_6
| spl3_4
| ~ spl3_103
| ~ spl3_115
| ~ spl3_123 ),
inference(avatar_split_clause,[],[f5121,f1092,f896,f740,f267,f277,f1483]) ).
fof(f5121,plain,
( e1 = e2
| e2 = e3
| e2 = op(e3,e1)
| ~ spl3_103
| ~ spl3_115
| ~ spl3_123 ),
inference(duplicate_literal_removal,[],[f4965]) ).
fof(f4965,plain,
( e1 = e2
| e1 = e2
| e2 = e3
| e2 = op(e3,e1)
| ~ spl3_103
| ~ spl3_115
| ~ spl3_123 ),
inference(forward_demodulation,[],[f2912,f742]) ).
fof(f2912,plain,
( e1 = e2
| e2 = e3
| e2 = op(e3,e1)
| e2 = op(e0,e1)
| ~ spl3_115
| ~ spl3_123 ),
inference(forward_demodulation,[],[f2774,f1094]) ).
fof(f2774,plain,
( e2 = e3
| e2 = op(e3,e1)
| e2 = op(e1,e1)
| e2 = op(e0,e1)
| ~ spl3_115 ),
inference(forward_demodulation,[],[f128,f897]) ).
fof(f5313,plain,
( spl3_6
| spl3_4
| spl3_2
| ~ spl3_84
| ~ spl3_103
| ~ spl3_115
| ~ spl3_123 ),
inference(avatar_split_clause,[],[f5242,f1092,f896,f740,f657,f257,f267,f277]) ).
fof(f5242,plain,
( e0 = e2
| e1 = e2
| e2 = e3
| ~ spl3_84
| ~ spl3_103
| ~ spl3_115
| ~ spl3_123 ),
inference(forward_demodulation,[],[f5121,f658]) ).
fof(f5307,plain,
( spl3_6
| ~ spl3_127
| ~ spl3_136 ),
inference(avatar_split_clause,[],[f5289,f3629,f1150,f277]) ).
fof(f5289,plain,
( e2 = e3
| ~ spl3_127
| ~ spl3_136 ),
inference(superposition,[],[f3630,f1152]) ).
fof(f5302,plain,
( ~ spl3_100
| spl3_61
| ~ spl3_112 ),
inference(avatar_split_clause,[],[f5037,f817,f549,f726]) ).
fof(f5037,plain,
( e0 != op(e0,e2)
| spl3_61
| ~ spl3_112 ),
inference(forward_demodulation,[],[f550,f819]) ).
fof(f5288,plain,
( spl3_136
| ~ spl3_68
| ~ spl3_129 ),
inference(avatar_split_clause,[],[f5035,f1193,f584,f3629]) ).
fof(f5035,plain,
( e2 = op(e2,e3)
| ~ spl3_68
| ~ spl3_129 ),
inference(forward_demodulation,[],[f586,f1195]) ).
fof(f5241,plain,
( spl3_6
| ~ spl3_76
| ~ spl3_79 ),
inference(avatar_split_clause,[],[f5220,f635,f622,f277]) ).
fof(f5220,plain,
( e2 = e3
| ~ spl3_76
| ~ spl3_79 ),
inference(superposition,[],[f636,f623]) ).
fof(f5180,plain,
( spl3_3
| ~ spl3_73
| ~ spl3_84
| ~ spl3_97
| ~ spl3_112
| ~ spl3_115 ),
inference(avatar_split_clause,[],[f5139,f896,f817,f713,f657,f609,f262]) ).
fof(f5139,plain,
( e0 = e3
| ~ spl3_73
| ~ spl3_84
| ~ spl3_97
| ~ spl3_112
| ~ spl3_115 ),
inference(forward_demodulation,[],[f897,f5123]) ).
fof(f5123,plain,
( e0 = op(e2,e1)
| ~ spl3_73
| ~ spl3_84
| ~ spl3_97
| ~ spl3_112 ),
inference(forward_demodulation,[],[f658,f5113]) ).
fof(f5120,plain,
( spl3_4
| ~ spl3_63
| ~ spl3_85
| ~ spl3_122 ),
inference(avatar_split_clause,[],[f5069,f1072,f661,f559,f267]) ).
fof(f5069,plain,
( e1 = e2
| ~ spl3_63
| ~ spl3_85
| ~ spl3_122 ),
inference(forward_demodulation,[],[f1074,f795]) ).
fof(f5038,plain,
( spl3_2
| ~ spl3_63
| ~ spl3_85
| ~ spl3_90
| ~ spl3_98 ),
inference(avatar_split_clause,[],[f5030,f718,f683,f661,f559,f257]) ).
fof(f5030,plain,
( e0 = e2
| ~ spl3_63
| ~ spl3_85
| ~ spl3_90
| ~ spl3_98 ),
inference(forward_demodulation,[],[f5029,f720]) ).
fof(f5029,plain,
( op(e0,e0) = e2
| ~ spl3_63
| ~ spl3_85
| ~ spl3_90 ),
inference(forward_demodulation,[],[f662,f5028]) ).
fof(f5009,plain,
( spl3_5
| ~ spl3_98
| ~ spl3_103
| ~ spl3_106
| ~ spl3_115 ),
inference(avatar_split_clause,[],[f4989,f896,f766,f740,f718,f272]) ).
fof(f4989,plain,
( e1 = e3
| ~ spl3_98
| ~ spl3_103
| ~ spl3_106
| ~ spl3_115 ),
inference(forward_demodulation,[],[f4988,f742]) ).
fof(f4988,plain,
( e3 = op(e0,e1)
| ~ spl3_98
| ~ spl3_106
| ~ spl3_115 ),
inference(forward_demodulation,[],[f897,f4253]) ).
fof(f4986,plain,
( spl3_3
| ~ spl3_81
| ~ spl3_115 ),
inference(avatar_split_clause,[],[f4972,f896,f644,f262]) ).
fof(f4972,plain,
( e0 = e3
| ~ spl3_81
| ~ spl3_115 ),
inference(forward_demodulation,[],[f897,f645]) ).
fof(f4921,plain,
( spl3_4
| ~ spl3_85
| ~ spl3_103 ),
inference(avatar_split_clause,[],[f4872,f740,f661,f267]) ).
fof(f4872,plain,
( e1 = e2
| ~ spl3_85
| ~ spl3_103 ),
inference(forward_demodulation,[],[f662,f742]) ).
fof(f4908,plain,
( spl3_4
| ~ spl3_89
| ~ spl3_123 ),
inference(avatar_split_clause,[],[f4861,f1092,f679,f267]) ).
fof(f4861,plain,
( e1 = e2
| ~ spl3_89
| ~ spl3_123 ),
inference(forward_demodulation,[],[f680,f1094]) ).
fof(f4886,plain,
( spl3_3
| ~ spl3_91
| ~ spl3_100 ),
inference(avatar_split_clause,[],[f4860,f726,f687,f262]) ).
fof(f4860,plain,
( e0 = e3
| ~ spl3_91
| ~ spl3_100 ),
inference(forward_demodulation,[],[f688,f728]) ).
fof(f4836,plain,
( spl3_131
| spl3_4
| spl3_6
| ~ spl3_82
| ~ spl3_123
| ~ spl3_124 ),
inference(avatar_split_clause,[],[f4798,f1096,f1092,f648,f277,f267,f1483]) ).
fof(f4798,plain,
( e2 = e3
| e1 = e2
| e2 = op(e3,e1)
| ~ spl3_82
| ~ spl3_123
| ~ spl3_124 ),
inference(forward_demodulation,[],[f4797,f649]) ).
fof(f4797,plain,
( e1 = e2
| e2 = op(e3,e1)
| e2 = op(e0,e1)
| ~ spl3_123
| ~ spl3_124 ),
inference(duplicate_literal_removal,[],[f4796]) ).
fof(f4796,plain,
( e1 = e2
| e1 = e2
| e2 = op(e3,e1)
| e2 = op(e0,e1)
| ~ spl3_123
| ~ spl3_124 ),
inference(forward_demodulation,[],[f3587,f1094]) ).
fof(f3587,plain,
( e1 = e2
| e2 = op(e3,e1)
| e2 = op(e1,e1)
| e2 = op(e0,e1)
| ~ spl3_124 ),
inference(forward_demodulation,[],[f128,f1098]) ).
fof(f4827,plain,
( spl3_84
| spl3_1
| spl3_3
| ~ spl3_82
| ~ spl3_123
| ~ spl3_124 ),
inference(avatar_split_clause,[],[f4795,f1096,f1092,f648,f262,f252,f657]) ).
fof(f4795,plain,
( e0 = e3
| e0 = e1
| e0 = op(e3,e1)
| ~ spl3_82
| ~ spl3_123
| ~ spl3_124 ),
inference(forward_demodulation,[],[f4794,f649]) ).
fof(f4794,plain,
( e0 = e1
| e0 = op(e3,e1)
| e0 = op(e0,e1)
| ~ spl3_123
| ~ spl3_124 ),
inference(duplicate_literal_removal,[],[f4793]) ).
fof(f4793,plain,
( e0 = e1
| e0 = e1
| e0 = op(e3,e1)
| e0 = op(e0,e1)
| ~ spl3_123
| ~ spl3_124 ),
inference(forward_demodulation,[],[f3660,f1094]) ).
fof(f4825,plain,
( ~ spl3_113
| spl3_7
| ~ spl3_76 ),
inference(avatar_split_clause,[],[f1057,f622,f282,f835]) ).
fof(f1057,plain,
( op(e0,e0) != e3
| spl3_7
| ~ spl3_76 ),
inference(superposition,[],[f284,f623]) ).
fof(f4782,plain,
( spl3_6
| spl3_4
| spl3_2
| ~ spl3_90
| ~ spl3_95
| ~ spl3_100
| ~ spl3_134 ),
inference(avatar_split_clause,[],[f4733,f2369,f726,f705,f683,f257,f267,f277]) ).
fof(f4733,plain,
( e0 = e2
| e1 = e2
| e2 = e3
| ~ spl3_90
| ~ spl3_95
| ~ spl3_100
| ~ spl3_134 ),
inference(duplicate_literal_removal,[],[f4732]) ).
fof(f4732,plain,
( e0 = e2
| e1 = e2
| e0 = e2
| e2 = e3
| ~ spl3_90
| ~ spl3_95
| ~ spl3_100
| ~ spl3_134 ),
inference(forward_demodulation,[],[f4731,f728]) ).
fof(f4731,plain,
( e1 = e2
| e0 = e2
| e2 = e3
| e2 = op(e0,e2)
| ~ spl3_90
| ~ spl3_95
| ~ spl3_134 ),
inference(forward_demodulation,[],[f4576,f2371]) ).
fof(f4576,plain,
( e0 = e2
| e2 = e3
| e2 = op(e3,e2)
| e2 = op(e0,e2)
| ~ spl3_90
| ~ spl3_95 ),
inference(forward_demodulation,[],[f3836,f684]) ).
fof(f4772,plain,
( spl3_126
| ~ spl3_72
| ~ spl3_83 ),
inference(avatar_split_clause,[],[f4673,f653,f604,f1126]) ).
fof(f4673,plain,
( e3 = op(e3,e1)
| ~ spl3_72
| ~ spl3_83 ),
inference(forward_demodulation,[],[f606,f654]) ).
fof(f4742,plain,
( spl3_6
| ~ spl3_69
| ~ spl3_90
| ~ spl3_120 ),
inference(avatar_split_clause,[],[f4741,f1035,f683,f589,f277]) ).
fof(f4741,plain,
( e2 = e3
| ~ spl3_69
| ~ spl3_90
| ~ spl3_120 ),
inference(forward_demodulation,[],[f1037,f4677]) ).
fof(f4723,plain,
( spl3_2
| ~ spl3_69
| ~ spl3_90
| ~ spl3_116 ),
inference(avatar_split_clause,[],[f4678,f902,f683,f589,f257]) ).
fof(f4678,plain,
( e0 = e2
| ~ spl3_69
| ~ spl3_90
| ~ spl3_116 ),
inference(forward_demodulation,[],[f4677,f904]) ).
fof(f4690,plain,
( spl3_1
| ~ spl3_88
| ~ spl3_96 ),
inference(avatar_split_clause,[],[f4669,f709,f674,f252]) ).
fof(f4669,plain,
( e0 = e1
| ~ spl3_88
| ~ spl3_96 ),
inference(forward_demodulation,[],[f710,f675]) ).
fof(f4653,plain,
( spl3_130
| ~ spl3_63
| ~ spl3_82 ),
inference(avatar_split_clause,[],[f4488,f648,f559,f1477]) ).
fof(f4488,plain,
( e1 = op(e1,e3)
| ~ spl3_63
| ~ spl3_82 ),
inference(forward_demodulation,[],[f561,f649]) ).
fof(f4628,plain,
( spl3_6
| ~ spl3_72
| ~ spl3_83
| ~ spl3_131 ),
inference(avatar_split_clause,[],[f4625,f1483,f653,f604,f277]) ).
fof(f4625,plain,
( e2 = e3
| ~ spl3_72
| ~ spl3_83
| ~ spl3_131 ),
inference(forward_demodulation,[],[f4624,f1485]) ).
fof(f4624,plain,
( e3 = op(e3,e1)
| ~ spl3_72
| ~ spl3_83 ),
inference(forward_demodulation,[],[f606,f654]) ).
fof(f4617,plain,
( spl3_1
| ~ spl3_83
| ~ spl3_90
| ~ spl3_129
| ~ spl3_135 ),
inference(avatar_split_clause,[],[f4602,f2944,f1193,f683,f653,f252]) ).
fof(f4602,plain,
( e0 = e1
| ~ spl3_83
| ~ spl3_90
| ~ spl3_129
| ~ spl3_135 ),
inference(forward_demodulation,[],[f4601,f684]) ).
fof(f4595,plain,
( spl3_3
| ~ spl3_68
| ~ spl3_88
| ~ spl3_112
| ~ spl3_129 ),
inference(avatar_split_clause,[],[f4589,f1193,f817,f674,f584,f262]) ).
fof(f4589,plain,
( e0 = e3
| ~ spl3_68
| ~ spl3_88
| ~ spl3_112
| ~ spl3_129 ),
inference(forward_demodulation,[],[f4588,f4584]) ).
fof(f4588,plain,
( e2 = e3
| ~ spl3_68
| ~ spl3_88
| ~ spl3_112
| ~ spl3_129 ),
inference(forward_demodulation,[],[f4587,f819]) ).
fof(f4567,plain,
( spl3_129
| ~ spl3_71
| ~ spl3_108 ),
inference(avatar_split_clause,[],[f4483,f774,f599,f1193]) ).
fof(f4483,plain,
( e3 = op(e3,e2)
| ~ spl3_71
| ~ spl3_108 ),
inference(forward_demodulation,[],[f601,f776]) ).
fof(f4531,plain,
( spl3_5
| ~ spl3_82
| ~ spl3_103 ),
inference(avatar_split_clause,[],[f4518,f740,f648,f272]) ).
fof(f4518,plain,
( e1 = e3
| ~ spl3_82
| ~ spl3_103 ),
inference(superposition,[],[f742,f649]) ).
fof(f4491,plain,
( spl3_1
| ~ spl3_63
| ~ spl3_82
| ~ spl3_97 ),
inference(avatar_split_clause,[],[f4489,f713,f648,f559,f252]) ).
fof(f4489,plain,
( e0 = e1
| ~ spl3_63
| ~ spl3_82
| ~ spl3_97 ),
inference(forward_demodulation,[],[f4488,f714]) ).
fof(f4474,plain,
( ~ spl3_83
| ~ spl3_81
| ~ spl3_131 ),
inference(avatar_split_clause,[],[f4452,f1483,f644,f653]) ).
fof(f4452,plain,
( e1 != op(e3,e3)
| ~ spl3_81
| ~ spl3_131 ),
inference(trivial_inequality_removal,[],[f4451]) ).
fof(f4451,plain,
( e2 != e2
| e1 != op(e3,e3)
| ~ spl3_81
| ~ spl3_131 ),
inference(forward_demodulation,[],[f4450,f1485]) ).
fof(f4450,plain,
( e2 != op(e3,e1)
| e1 != op(e3,e3)
| ~ spl3_81 ),
inference(trivial_inequality_removal,[],[f4449]) ).
fof(f4449,plain,
( e0 != e0
| e2 != op(e3,e1)
| e1 != op(e3,e3)
| ~ spl3_81 ),
inference(forward_demodulation,[],[f222,f645]) ).
fof(f222,plain,
( e0 != op(e2,e1)
| e2 != op(e3,e1)
| e1 != op(e3,e3) ),
inference(inner_rewriting,[],[f221]) ).
fof(f221,plain,
( e0 != op(e2,op(e3,e3))
| e2 != op(e3,op(e3,e3))
| e1 != op(e3,e3) ),
inference(inner_rewriting,[],[f188]) ).
fof(f188,plain,
( e0 != op(op(e3,op(e3,e3)),op(e3,e3))
| e2 != op(e3,op(e3,e3))
| e1 != op(e3,e3) ),
inference(cnf_transformation,[],[f39]) ).
fof(f39,plain,
( e0 != op(op(e3,op(e3,e3)),op(e3,e3))
| e2 != op(e3,op(e3,e3))
| e1 != op(e3,e3) ),
inference(ennf_transformation,[],[f15]) ).
fof(f15,axiom,
~ ( e0 = op(op(e3,op(e3,e3)),op(e3,e3))
& e2 = op(e3,op(e3,e3))
& e1 = op(e3,e3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax15) ).
fof(f4457,plain,
( spl3_1
| ~ spl3_83
| ~ spl3_93
| ~ spl3_98
| ~ spl3_129 ),
inference(avatar_split_clause,[],[f4448,f1193,f718,f696,f653,f252]) ).
fof(f4448,plain,
( e0 = e1
| ~ spl3_83
| ~ spl3_93
| ~ spl3_98
| ~ spl3_129 ),
inference(forward_demodulation,[],[f4445,f720]) ).
fof(f4445,plain,
( op(e0,e0) = e1
| ~ spl3_83
| ~ spl3_93
| ~ spl3_129 ),
inference(forward_demodulation,[],[f654,f4430]) ).
fof(f4447,plain,
( spl3_2
| ~ spl3_84
| ~ spl3_131 ),
inference(avatar_split_clause,[],[f4423,f1483,f657,f257]) ).
fof(f4423,plain,
( e0 = e2
| ~ spl3_84
| ~ spl3_131 ),
inference(superposition,[],[f658,f1485]) ).
fof(f4444,plain,
( spl3_83
| spl3_5
| spl3_4
| ~ spl3_112
| ~ spl3_129
| ~ spl3_131 ),
inference(avatar_split_clause,[],[f4421,f1483,f1193,f817,f267,f272,f653]) ).
fof(f4421,plain,
( e1 = e2
| e1 = e3
| e1 = op(e3,e3)
| ~ spl3_112
| ~ spl3_129
| ~ spl3_131 ),
inference(duplicate_literal_removal,[],[f4420]) ).
fof(f4420,plain,
( e1 = e2
| e1 = e2
| e1 = e3
| e1 = op(e3,e3)
| ~ spl3_112
| ~ spl3_129
| ~ spl3_131 ),
inference(forward_demodulation,[],[f4144,f1485]) ).
fof(f4144,plain,
( e1 = e2
| e1 = e3
| e1 = op(e3,e3)
| e1 = op(e3,e1)
| ~ spl3_112
| ~ spl3_129 ),
inference(forward_demodulation,[],[f4143,f819]) ).
fof(f4417,plain,
( spl3_4
| ~ spl3_119
| ~ spl3_122 ),
inference(avatar_split_clause,[],[f4406,f1072,f1019,f267]) ).
fof(f4406,plain,
( e1 = e2
| ~ spl3_119
| ~ spl3_122 ),
inference(superposition,[],[f1020,f1074]) ).
fof(f4414,plain,
( spl3_84
| ~ spl3_93
| ~ spl3_119
| ~ spl3_122 ),
inference(avatar_split_clause,[],[f4413,f1072,f1019,f696,f657]) ).
fof(f4413,plain,
( e0 = op(e3,e1)
| ~ spl3_93
| ~ spl3_119
| ~ spl3_122 ),
inference(forward_demodulation,[],[f697,f4406]) ).
fof(f4412,plain,
( spl3_93
| spl3_3
| spl3_1
| ~ spl3_64
| ~ spl3_94
| ~ spl3_95
| ~ spl3_131 ),
inference(avatar_split_clause,[],[f4391,f1483,f705,f700,f564,f252,f262,f696]) ).
fof(f4391,plain,
( e0 = e1
| e0 = e3
| e0 = op(e3,e2)
| ~ spl3_64
| ~ spl3_94
| ~ spl3_95
| ~ spl3_131 ),
inference(duplicate_literal_removal,[],[f4390]) ).
fof(f4390,plain,
( e0 = e1
| e0 = e1
| e0 = e3
| e0 = op(e3,e2)
| ~ spl3_64
| ~ spl3_94
| ~ spl3_95
| ~ spl3_131 ),
inference(forward_demodulation,[],[f2741,f701]) ).
fof(f2741,plain,
( e0 = e1
| e0 = e3
| e0 = op(e3,e2)
| e0 = op(e0,e2)
| ~ spl3_64
| ~ spl3_95
| ~ spl3_131 ),
inference(forward_demodulation,[],[f2740,f2546]) ).
fof(f2546,plain,
( e1 = op(e1,e2)
| ~ spl3_64
| ~ spl3_131 ),
inference(forward_demodulation,[],[f566,f1485]) ).
fof(f2740,plain,
( e0 = e3
| e0 = op(e3,e2)
| e0 = op(e1,e2)
| e0 = op(e0,e2)
| ~ spl3_95 ),
inference(forward_demodulation,[],[f132,f706]) ).
fof(f4401,plain,
( spl3_119
| ~ spl3_64
| ~ spl3_131 ),
inference(avatar_split_clause,[],[f2546,f1483,f564,f1019]) ).
fof(f4384,plain,
( spl3_131
| spl3_6
| spl3_4
| spl3_2
| ~ spl3_81
| ~ spl3_82
| ~ spl3_123 ),
inference(avatar_split_clause,[],[f4250,f1092,f648,f644,f257,f267,f277,f1483]) ).
fof(f4250,plain,
( e0 = e2
| e1 = e2
| e2 = e3
| e2 = op(e3,e1)
| ~ spl3_81
| ~ spl3_82
| ~ spl3_123 ),
inference(forward_demodulation,[],[f4169,f645]) ).
fof(f4169,plain,
( e1 = e2
| e2 = e3
| e2 = op(e3,e1)
| e2 = op(e2,e1)
| ~ spl3_82
| ~ spl3_123 ),
inference(forward_demodulation,[],[f3933,f1094]) ).
fof(f4382,plain,
( ~ spl3_100
| spl3_61
| ~ spl3_112 ),
inference(avatar_split_clause,[],[f4276,f817,f549,f726]) ).
fof(f4276,plain,
( e0 != op(e0,e2)
| spl3_61
| ~ spl3_112 ),
inference(forward_demodulation,[],[f550,f819]) ).
fof(f4345,plain,
( spl3_118
| ~ spl3_98
| ~ spl3_106
| ~ spl3_122 ),
inference(avatar_split_clause,[],[f4332,f1072,f766,f718,f950]) ).
fof(f4332,plain,
( e0 = op(e1,e0)
| ~ spl3_98
| ~ spl3_106
| ~ spl3_122 ),
inference(forward_demodulation,[],[f1074,f4253]) ).
fof(f4290,plain,
( spl3_5
| spl3_78
| spl3_1
| ~ spl3_90
| ~ spl3_95
| ~ spl3_98
| ~ spl3_106 ),
inference(avatar_split_clause,[],[f4263,f766,f718,f705,f683,f252,f631,f272]) ).
fof(f4263,plain,
( e0 = e1
| e1 = op(e3,e0)
| e1 = e3
| ~ spl3_90
| ~ spl3_95
| ~ spl3_98
| ~ spl3_106 ),
inference(duplicate_literal_removal,[],[f4262]) ).
fof(f4262,plain,
( e0 = e1
| e0 = e1
| e1 = op(e3,e0)
| e1 = e3
| ~ spl3_90
| ~ spl3_95
| ~ spl3_98
| ~ spl3_106 ),
inference(forward_demodulation,[],[f4261,f4253]) ).
fof(f4261,plain,
( e1 = e2
| e0 = e1
| e1 = op(e3,e0)
| e1 = e3
| ~ spl3_90
| ~ spl3_95
| ~ spl3_98
| ~ spl3_106 ),
inference(forward_demodulation,[],[f4260,f768]) ).
fof(f4260,plain,
( op(e0,e0) = e1
| e0 = e1
| e1 = op(e3,e0)
| e1 = e3
| ~ spl3_90
| ~ spl3_95
| ~ spl3_98
| ~ spl3_106 ),
inference(forward_demodulation,[],[f4259,f4253]) ).
fof(f4259,plain,
( e0 = e1
| e1 = op(e3,e0)
| e1 = e3
| e1 = op(e0,e2)
| ~ spl3_90
| ~ spl3_95
| ~ spl3_98
| ~ spl3_106 ),
inference(forward_demodulation,[],[f4258,f684]) ).
fof(f4258,plain,
( e1 = op(e3,e0)
| e1 = e3
| e1 = op(e1,e2)
| e1 = op(e0,e2)
| ~ spl3_95
| ~ spl3_98
| ~ spl3_106 ),
inference(forward_demodulation,[],[f2768,f4253]) ).
fof(f4277,plain,
( spl3_135
| spl3_5
| spl3_6
| ~ spl3_66
| ~ spl3_87
| ~ spl3_95
| ~ spl3_104 ),
inference(avatar_split_clause,[],[f4252,f744,f705,f670,f574,f277,f272,f2944]) ).
fof(f4252,plain,
( e2 = e3
| e1 = e3
| e3 = op(e3,e3)
| ~ spl3_66
| ~ spl3_87
| ~ spl3_95
| ~ spl3_104 ),
inference(duplicate_literal_removal,[],[f4251]) ).
fof(f4251,plain,
( e2 = e3
| e1 = e3
| e2 = e3
| e3 = op(e3,e3)
| ~ spl3_66
| ~ spl3_87
| ~ spl3_95
| ~ spl3_104 ),
inference(forward_demodulation,[],[f4125,f671]) ).
fof(f4125,plain,
( e1 = e3
| e2 = e3
| e3 = op(e3,e3)
| e3 = op(e1,e3)
| ~ spl3_66
| ~ spl3_95
| ~ spl3_104 ),
inference(forward_demodulation,[],[f3997,f746]) ).
fof(f3997,plain,
( e2 = e3
| e3 = op(e3,e3)
| e3 = op(e1,e3)
| e3 = op(e0,e3)
| ~ spl3_66
| ~ spl3_95 ),
inference(forward_demodulation,[],[f146,f2198]) ).
fof(f4257,plain,
( spl3_134
| spl3_5
| spl3_1
| ~ spl3_90
| ~ spl3_95
| ~ spl3_100 ),
inference(avatar_split_clause,[],[f4249,f726,f705,f683,f252,f272,f2369]) ).
fof(f4249,plain,
( e0 = e1
| e1 = e3
| e1 = op(e3,e2)
| ~ spl3_90
| ~ spl3_95
| ~ spl3_100 ),
inference(duplicate_literal_removal,[],[f4248]) ).
fof(f4248,plain,
( e0 = e1
| e0 = e1
| e1 = e3
| e1 = op(e3,e2)
| ~ spl3_90
| ~ spl3_95
| ~ spl3_100 ),
inference(forward_demodulation,[],[f4186,f684]) ).
fof(f4186,plain,
( e0 = e1
| e1 = e3
| e1 = op(e3,e2)
| e1 = op(e1,e2)
| ~ spl3_95
| ~ spl3_100 ),
inference(forward_demodulation,[],[f2768,f728]) ).
fof(f4245,plain,
( spl3_6
| ~ spl3_129
| ~ spl3_132 ),
inference(avatar_split_clause,[],[f4214,f1487,f1193,f277]) ).
fof(f4214,plain,
( e2 = e3
| ~ spl3_129
| ~ spl3_132 ),
inference(superposition,[],[f1489,f1195]) ).
fof(f4244,plain,
( spl3_98
| spl3_117
| spl3_1
| spl3_3
| ~ spl3_75
| ~ spl3_76 ),
inference(avatar_split_clause,[],[f3100,f622,f618,f262,f252,f906,f718]) ).
fof(f3100,plain,
( e0 = e3
| e0 = e1
| e0 = op(e3,e0)
| e0 = op(e0,e0)
| ~ spl3_75
| ~ spl3_76 ),
inference(forward_demodulation,[],[f3099,f623]) ).
fof(f3099,plain,
( e0 = e1
| e0 = op(e3,e0)
| e0 = op(e1,e0)
| e0 = op(e0,e0)
| ~ spl3_75 ),
inference(forward_demodulation,[],[f116,f619]) ).
fof(f4237,plain,
( spl3_81
| spl3_88
| spl3_3
| spl3_1
| ~ spl3_75
| ~ spl3_95 ),
inference(avatar_split_clause,[],[f2835,f705,f618,f252,f262,f674,f644]) ).
fof(f2835,plain,
( e0 = e1
| e0 = e3
| e0 = op(e2,e3)
| e0 = op(e2,e1)
| ~ spl3_75
| ~ spl3_95 ),
inference(forward_demodulation,[],[f2758,f619]) ).
fof(f4225,plain,
( spl3_97
| spl3_1
| spl3_3
| ~ spl3_76
| ~ spl3_123
| ~ spl3_128 ),
inference(avatar_split_clause,[],[f4190,f1189,f1092,f622,f262,f252,f713]) ).
fof(f4190,plain,
( e0 = e3
| e0 = e1
| e0 = op(e1,e3)
| ~ spl3_76
| ~ spl3_123
| ~ spl3_128 ),
inference(duplicate_literal_removal,[],[f4189]) ).
fof(f4189,plain,
( e0 = e3
| e0 = e3
| e0 = e1
| e0 = op(e1,e3)
| ~ spl3_76
| ~ spl3_123
| ~ spl3_128 ),
inference(forward_demodulation,[],[f3971,f623]) ).
fof(f3971,plain,
( e0 = e3
| e0 = e1
| e0 = op(e1,e3)
| e0 = op(e1,e0)
| ~ spl3_123
| ~ spl3_128 ),
inference(forward_demodulation,[],[f1239,f1191]) ).
fof(f4213,plain,
( spl3_132
| spl3_6
| spl3_2
| ~ spl3_95
| ~ spl3_100
| ~ spl3_128 ),
inference(avatar_split_clause,[],[f3839,f1189,f726,f705,f257,f277,f1487]) ).
fof(f3839,plain,
( e0 = e2
| e2 = e3
| e2 = op(e3,e2)
| ~ spl3_95
| ~ spl3_100
| ~ spl3_128 ),
inference(forward_demodulation,[],[f3838,f728]) ).
fof(f3838,plain,
( e2 = e3
| e2 = op(e3,e2)
| e2 = op(e0,e2)
| ~ spl3_95
| ~ spl3_128 ),
inference(duplicate_literal_removal,[],[f3837]) ).
fof(f3837,plain,
( e2 = e3
| e2 = e3
| e2 = op(e3,e2)
| e2 = op(e0,e2)
| ~ spl3_95
| ~ spl3_128 ),
inference(forward_demodulation,[],[f3836,f1191]) ).
fof(f4175,plain,
( spl3_97
| spl3_3
| spl3_1
| ~ spl3_76
| ~ spl3_119
| ~ spl3_123 ),
inference(avatar_split_clause,[],[f4165,f1092,f1019,f622,f252,f262,f713]) ).
fof(f4165,plain,
( e0 = e1
| e0 = e3
| e0 = op(e1,e3)
| ~ spl3_76
| ~ spl3_119
| ~ spl3_123 ),
inference(duplicate_literal_removal,[],[f4164]) ).
fof(f4164,plain,
( e0 = e1
| e0 = e1
| e0 = e3
| e0 = op(e1,e3)
| ~ spl3_76
| ~ spl3_119
| ~ spl3_123 ),
inference(forward_demodulation,[],[f4163,f1094]) ).
fof(f4163,plain,
( e0 = e1
| e0 = e3
| e0 = op(e1,e3)
| e0 = op(e1,e1)
| ~ spl3_76
| ~ spl3_119 ),
inference(forward_demodulation,[],[f2781,f1020]) ).
fof(f4160,plain,
( spl3_97
| spl3_1
| spl3_3
| ~ spl3_62
| ~ spl3_76
| ~ spl3_110
| ~ spl3_123 ),
inference(avatar_split_clause,[],[f4129,f1092,f808,f622,f554,f262,f252,f713]) ).
fof(f4129,plain,
( e0 = e3
| e0 = e1
| e0 = op(e1,e3)
| ~ spl3_62
| ~ spl3_76
| ~ spl3_110
| ~ spl3_123 ),
inference(forward_demodulation,[],[f4128,f623]) ).
fof(f4128,plain,
( e0 = e1
| e0 = op(e1,e3)
| e0 = op(e1,e0)
| ~ spl3_62
| ~ spl3_110
| ~ spl3_123 ),
inference(duplicate_literal_removal,[],[f4127]) ).
fof(f4123,plain,
( spl3_1
| spl3_118
| ~ spl3_123
| ~ spl3_129
| ~ spl3_134 ),
inference(avatar_split_clause,[],[f4119,f2369,f1193,f1092,f950,f252]) ).
fof(f4119,plain,
( e0 = op(e1,e0)
| e0 = e1
| ~ spl3_123
| ~ spl3_129
| ~ spl3_134 ),
inference(forward_demodulation,[],[f4118,f4095]) ).
fof(f4118,plain,
( e0 = e1
| e0 = op(e3,e0)
| ~ spl3_123
| ~ spl3_129
| ~ spl3_134 ),
inference(duplicate_literal_removal,[],[f4117]) ).
fof(f4117,plain,
( e0 = e1
| e0 = e1
| e0 = op(e3,e0)
| ~ spl3_123
| ~ spl3_129
| ~ spl3_134 ),
inference(forward_demodulation,[],[f4116,f1094]) ).
fof(f4116,plain,
( e0 = op(e1,e1)
| e0 = e1
| e0 = op(e3,e0)
| ~ spl3_123
| ~ spl3_129
| ~ spl3_134 ),
inference(forward_demodulation,[],[f4115,f4095]) ).
fof(f4115,plain,
( e0 = e1
| e0 = op(e3,e1)
| e0 = op(e3,e0)
| ~ spl3_123
| ~ spl3_129
| ~ spl3_134 ),
inference(duplicate_literal_removal,[],[f4114]) ).
fof(f4114,plain,
( e0 = e1
| e0 = e1
| e0 = op(e3,e1)
| e0 = op(e3,e0)
| ~ spl3_123
| ~ spl3_129
| ~ spl3_134 ),
inference(forward_demodulation,[],[f4113,f1094]) ).
fof(f4113,plain,
( e0 = op(e1,e1)
| e0 = e1
| e0 = op(e3,e1)
| e0 = op(e3,e0)
| ~ spl3_129
| ~ spl3_134 ),
inference(forward_demodulation,[],[f4112,f4095]) ).
fof(f4112,plain,
( e0 = e1
| e0 = op(e3,e3)
| e0 = op(e3,e1)
| e0 = op(e3,e0)
| ~ spl3_129
| ~ spl3_134 ),
inference(forward_demodulation,[],[f3994,f4095]) ).
fof(f4106,plain,
( spl3_77
| spl3_3
| spl3_1
| spl3_2
| ~ spl3_112
| ~ spl3_125
| ~ spl3_129 ),
inference(avatar_split_clause,[],[f4061,f1193,f1100,f817,f257,f252,f262,f627]) ).
fof(f4061,plain,
( e0 = e2
| e0 = e1
| e0 = e3
| e0 = op(e3,e3)
| ~ spl3_112
| ~ spl3_125
| ~ spl3_129 ),
inference(forward_demodulation,[],[f3995,f819]) ).
fof(f3995,plain,
( e0 = e1
| e0 = e3
| e0 = op(e3,e3)
| e0 = op(e3,e0)
| ~ spl3_125
| ~ spl3_129 ),
inference(forward_demodulation,[],[f3994,f1102]) ).
fof(f4093,plain,
( spl3_80
| ~ spl3_73
| ~ spl3_97
| ~ spl3_112
| ~ spl3_134 ),
inference(avatar_split_clause,[],[f4092,f2369,f817,f713,f609,f640]) ).
fof(f4092,plain,
( e1 = op(e2,e2)
| ~ spl3_73
| ~ spl3_97
| ~ spl3_112
| ~ spl3_134 ),
inference(forward_demodulation,[],[f2371,f4076]) ).
fof(f4076,plain,
( e2 = e3
| ~ spl3_73
| ~ spl3_97
| ~ spl3_112 ),
inference(forward_demodulation,[],[f4074,f819]) ).
fof(f4091,plain,
( spl3_134
| spl3_5
| spl3_4
| spl3_1
| ~ spl3_95
| ~ spl3_100
| ~ spl3_122 ),
inference(avatar_split_clause,[],[f4059,f1072,f726,f705,f252,f267,f272,f2369]) ).
fof(f4059,plain,
( e0 = e1
| e1 = e2
| e1 = e3
| e1 = op(e3,e2)
| ~ spl3_95
| ~ spl3_100
| ~ spl3_122 ),
inference(forward_demodulation,[],[f4058,f728]) ).
fof(f4058,plain,
( e1 = e2
| e1 = e3
| e1 = op(e3,e2)
| e1 = op(e0,e2)
| ~ spl3_95
| ~ spl3_122 ),
inference(forward_demodulation,[],[f2768,f1074]) ).
fof(f4084,plain,
( spl3_110
| spl3_2
| spl3_4
| ~ spl3_56
| ~ spl3_64
| ~ spl3_75
| ~ spl3_125 ),
inference(avatar_split_clause,[],[f3946,f1100,f618,f564,f526,f267,f257,f808]) ).
fof(f3946,plain,
( e1 = e2
| e0 = e2
| e2 = op(e2,e1)
| ~ spl3_56
| ~ spl3_64
| ~ spl3_75
| ~ spl3_125 ),
inference(duplicate_literal_removal,[],[f3945]) ).
fof(f3945,plain,
( e1 = e2
| e0 = e2
| e1 = e2
| e2 = op(e2,e1)
| ~ spl3_56
| ~ spl3_64
| ~ spl3_75
| ~ spl3_125 ),
inference(forward_demodulation,[],[f3181,f3249]) ).
fof(f3249,plain,
( e1 = op(e1,e1)
| ~ spl3_64
| ~ spl3_125 ),
inference(forward_demodulation,[],[f566,f1102]) ).
fof(f3181,plain,
( e0 = e2
| e1 = e2
| e2 = op(e2,e1)
| e2 = op(e1,e1)
| ~ spl3_56
| ~ spl3_75
| ~ spl3_125 ),
inference(forward_demodulation,[],[f3148,f2789]) ).
fof(f2789,plain,
( e0 = op(e0,e1)
| ~ spl3_56
| ~ spl3_75 ),
inference(superposition,[],[f528,f619]) ).
fof(f3148,plain,
( e1 = e2
| e2 = op(e2,e1)
| e2 = op(e1,e1)
| e2 = op(e0,e1)
| ~ spl3_125 ),
inference(forward_demodulation,[],[f128,f1102]) ).
fof(f4055,plain,
( spl3_4
| ~ spl3_104
| ~ spl3_108 ),
inference(avatar_split_clause,[],[f3955,f774,f744,f267]) ).
fof(f3955,plain,
( e1 = e2
| ~ spl3_104
| ~ spl3_108 ),
inference(superposition,[],[f746,f776]) ).
fof(f4008,plain,
( spl3_130
| ~ spl3_87
| ~ spl3_104
| ~ spl3_108 ),
inference(avatar_split_clause,[],[f3973,f774,f744,f670,f1477]) ).
fof(f3973,plain,
( e1 = op(e1,e3)
| ~ spl3_87
| ~ spl3_104
| ~ spl3_108 ),
inference(forward_demodulation,[],[f671,f3955]) ).
fof(f3979,plain,
( ~ spl3_77
| ~ spl3_75
| ~ spl3_112 ),
inference(avatar_split_clause,[],[f3949,f817,f618,f627]) ).
fof(f3949,plain,
( e0 != op(e3,e3)
| ~ spl3_75
| ~ spl3_112 ),
inference(trivial_inequality_removal,[],[f3948]) ).
fof(f3948,plain,
( e2 != e2
| e0 != op(e3,e3)
| ~ spl3_75
| ~ spl3_112 ),
inference(forward_demodulation,[],[f3053,f819]) ).
fof(f3053,plain,
( e2 != op(e3,e0)
| e0 != op(e3,e3)
| ~ spl3_75 ),
inference(trivial_inequality_removal,[],[f3052]) ).
fof(f3052,plain,
( e1 != e1
| e2 != op(e3,e0)
| e0 != op(e3,e3)
| ~ spl3_75 ),
inference(forward_demodulation,[],[f210,f619]) ).
fof(f210,plain,
( e1 != op(e2,e0)
| e2 != op(e3,e0)
| e0 != op(e3,e3) ),
inference(inner_rewriting,[],[f209]) ).
fof(f209,plain,
( e1 != op(e2,op(e3,e3))
| e2 != op(e3,op(e3,e3))
| e0 != op(e3,e3) ),
inference(inner_rewriting,[],[f182]) ).
fof(f182,plain,
( e1 != op(op(e3,op(e3,e3)),op(e3,e3))
| e2 != op(e3,op(e3,e3))
| e0 != op(e3,e3) ),
inference(cnf_transformation,[],[f33]) ).
fof(f33,plain,
( e1 != op(op(e3,op(e3,e3)),op(e3,e3))
| e2 != op(e3,op(e3,e3))
| e0 != op(e3,e3) ),
inference(ennf_transformation,[],[f9]) ).
fof(f9,axiom,
~ ( e1 = op(op(e3,op(e3,e3)),op(e3,e3))
& e2 = op(e3,op(e3,e3))
& e0 = op(e3,e3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax9) ).
fof(f3968,plain,
( spl3_123
| ~ spl3_64
| ~ spl3_125 ),
inference(avatar_split_clause,[],[f3249,f1100,f564,f1092]) ).
fof(f3921,plain,
( spl3_85
| spl3_4
| spl3_2
| ~ spl3_62
| ~ spl3_84
| ~ spl3_124 ),
inference(avatar_split_clause,[],[f3767,f1096,f657,f554,f257,f267,f661]) ).
fof(f3767,plain,
( e0 = e2
| e1 = e2
| e2 = op(e0,e1)
| ~ spl3_62
| ~ spl3_84
| ~ spl3_124 ),
inference(forward_demodulation,[],[f3589,f658]) ).
fof(f3589,plain,
( e1 = e2
| e2 = op(e3,e1)
| e2 = op(e0,e1)
| ~ spl3_62
| ~ spl3_124 ),
inference(duplicate_literal_removal,[],[f3588]) ).
fof(f3588,plain,
( e1 = e2
| e1 = e2
| e2 = op(e3,e1)
| e2 = op(e0,e1)
| ~ spl3_62
| ~ spl3_124 ),
inference(forward_demodulation,[],[f3587,f2236]) ).
fof(f2236,plain,
( e1 = op(e1,e1)
| ~ spl3_62
| ~ spl3_124 ),
inference(superposition,[],[f556,f1098]) ).
fof(f3916,plain,
( ~ spl3_100
| spl3_61
| ~ spl3_112 ),
inference(avatar_split_clause,[],[f3685,f817,f549,f726]) ).
fof(f3685,plain,
( e0 != op(e0,e2)
| spl3_61
| ~ spl3_112 ),
inference(forward_demodulation,[],[f550,f819]) ).
fof(f3915,plain,
( ~ spl3_130
| spl3_63
| ~ spl3_82 ),
inference(avatar_split_clause,[],[f1953,f648,f559,f1477]) ).
fof(f1953,plain,
( e1 != op(e1,e3)
| spl3_63
| ~ spl3_82 ),
inference(forward_demodulation,[],[f560,f649]) ).
fof(f3867,plain,
( spl3_4
| ~ spl3_73
| ~ spl3_84
| ~ spl3_102
| ~ spl3_108
| ~ spl3_130 ),
inference(avatar_split_clause,[],[f3864,f1477,f774,f736,f657,f609,f267]) ).
fof(f3864,plain,
( e1 = e2
| ~ spl3_73
| ~ spl3_84
| ~ spl3_102
| ~ spl3_108
| ~ spl3_130 ),
inference(forward_demodulation,[],[f3863,f738]) ).
fof(f3863,plain,
( op(e0,e0) = e2
| ~ spl3_73
| ~ spl3_84
| ~ spl3_108
| ~ spl3_130 ),
inference(forward_demodulation,[],[f776,f3858]) ).
fof(f3858,plain,
( e0 = e3
| ~ spl3_73
| ~ spl3_84
| ~ spl3_130 ),
inference(forward_demodulation,[],[f3510,f658]) ).
fof(f3510,plain,
( e3 = op(e3,e1)
| ~ spl3_73
| ~ spl3_130 ),
inference(superposition,[],[f611,f1478]) ).
fof(f3819,plain,
( spl3_3
| ~ spl3_84
| ~ spl3_126 ),
inference(avatar_split_clause,[],[f3739,f1126,f657,f262]) ).
fof(f3739,plain,
( e0 = e3
| ~ spl3_84
| ~ spl3_126 ),
inference(superposition,[],[f658,f1128]) ).
fof(f3795,plain,
( spl3_4
| ~ spl3_62
| ~ spl3_89
| ~ spl3_124 ),
inference(avatar_split_clause,[],[f3790,f1096,f679,f554,f267]) ).
fof(f3790,plain,
( e1 = e2
| ~ spl3_62
| ~ spl3_89
| ~ spl3_124 ),
inference(forward_demodulation,[],[f680,f2236]) ).
fof(f3761,plain,
( spl3_4
| ~ spl3_78
| ~ spl3_112 ),
inference(avatar_split_clause,[],[f3730,f817,f631,f267]) ).
fof(f3730,plain,
( e1 = e2
| ~ spl3_78
| ~ spl3_112 ),
inference(superposition,[],[f632,f819]) ).
fof(f3754,plain,
( spl3_118
| ~ spl3_78
| ~ spl3_112
| ~ spl3_116 ),
inference(avatar_split_clause,[],[f3753,f902,f817,f631,f950]) ).
fof(f3753,plain,
( e0 = op(e1,e0)
| ~ spl3_78
| ~ spl3_112
| ~ spl3_116 ),
inference(forward_demodulation,[],[f904,f3730]) ).
fof(f3752,plain,
( spl3_116
| spl3_75
| spl3_111
| spl3_120 ),
inference(avatar_split_clause,[],[f155,f1035,f813,f618,f902]) ).
fof(f155,plain,
( e3 = op(e2,e0)
| e2 = op(e2,e0)
| e1 = op(e2,e0)
| e0 = op(e2,e0) ),
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/sandbox/benchmark/theBenchmark.p',ax1) ).
fof(f3748,plain,
( spl3_90
| spl3_119
| spl3_122
| spl3_128 ),
inference(avatar_split_clause,[],[f153,f1189,f1072,f1019,f683]) ).
fof(f153,plain,
( e3 = op(e1,e2)
| e2 = op(e1,e2)
| e1 = op(e1,e2)
| e0 = op(e1,e2) ),
inference(cnf_transformation,[],[f1]) ).
fof(f3738,plain,
( spl3_99
| spl3_84
| spl3_1
| ~ spl3_62
| ~ spl3_124 ),
inference(avatar_split_clause,[],[f3667,f1096,f554,f252,f657,f722]) ).
fof(f3667,plain,
( e0 = e1
| e0 = op(e3,e1)
| e0 = op(e0,e1)
| ~ spl3_62
| ~ spl3_124 ),
inference(duplicate_literal_removal,[],[f3666]) ).
fof(f3666,plain,
( e0 = e1
| e0 = e1
| e0 = op(e3,e1)
| e0 = op(e0,e1)
| ~ spl3_62
| ~ spl3_124 ),
inference(forward_demodulation,[],[f3660,f2236]) ).
fof(f3728,plain,
( spl3_5
| ~ spl3_76
| ~ spl3_105 ),
inference(avatar_split_clause,[],[f3723,f757,f622,f272]) ).
fof(f3723,plain,
( e1 = e3
| ~ spl3_76
| ~ spl3_105 ),
inference(superposition,[],[f759,f623]) ).
fof(f3716,plain,
( spl3_131
| spl3_2
| spl3_4
| ~ spl3_62
| ~ spl3_99
| ~ spl3_124 ),
inference(avatar_split_clause,[],[f3584,f1096,f722,f554,f267,f257,f1483]) ).
fof(f3584,plain,
( e1 = e2
| e0 = e2
| e2 = op(e3,e1)
| ~ spl3_62
| ~ spl3_99
| ~ spl3_124 ),
inference(duplicate_literal_removal,[],[f3583]) ).
fof(f3583,plain,
( e1 = e2
| e1 = e2
| e0 = e2
| e2 = op(e3,e1)
| ~ spl3_62
| ~ spl3_99
| ~ spl3_124 ),
inference(forward_demodulation,[],[f3582,f2236]) ).
fof(f3582,plain,
( e1 = e2
| e0 = e2
| e2 = op(e3,e1)
| e2 = op(e1,e1)
| ~ spl3_99
| ~ spl3_124 ),
inference(forward_demodulation,[],[f2833,f1098]) ).
fof(f3713,plain,
( ~ spl3_82
| spl3_35
| ~ spl3_114 ),
inference(avatar_split_clause,[],[f885,f839,f422,f648]) ).
fof(f422,plain,
( spl3_35
<=> op(e0,e1) = op(e0,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_35])]) ).
fof(f885,plain,
( e3 != op(e0,e1)
| spl3_35
| ~ spl3_114 ),
inference(superposition,[],[f424,f841]) ).
fof(f424,plain,
( op(e0,e1) != op(e0,e3)
| spl3_35 ),
inference(avatar_component_clause,[],[f422]) ).
fof(f3700,plain,
( spl3_129
| ~ spl3_66
| ~ spl3_70
| ~ spl3_95 ),
inference(avatar_split_clause,[],[f3088,f705,f594,f574,f1193]) ).
fof(f3088,plain,
( e3 = op(e3,e2)
| ~ spl3_66
| ~ spl3_70
| ~ spl3_95 ),
inference(forward_demodulation,[],[f596,f2198]) ).
fof(f3664,plain,
( spl3_2
| ~ spl3_100
| ~ spl3_107 ),
inference(avatar_split_clause,[],[f3446,f770,f726,f257]) ).
fof(f3446,plain,
( e0 = e2
| ~ spl3_100
| ~ spl3_107 ),
inference(superposition,[],[f772,f728]) ).
fof(f3654,plain,
( spl3_1
| ~ spl3_99
| ~ spl3_100
| ~ spl3_107
| ~ spl3_124 ),
inference(avatar_split_clause,[],[f3650,f1096,f770,f726,f722,f252]) ).
fof(f3650,plain,
( e0 = e1
| ~ spl3_99
| ~ spl3_100
| ~ spl3_107
| ~ spl3_124 ),
inference(forward_demodulation,[],[f3455,f724]) ).
fof(f3455,plain,
( e1 = op(e0,e1)
| ~ spl3_100
| ~ spl3_107
| ~ spl3_124 ),
inference(forward_demodulation,[],[f1098,f3446]) ).
fof(f3634,plain,
( spl3_100
| ~ spl3_61
| ~ spl3_112 ),
inference(avatar_split_clause,[],[f3525,f817,f549,f726]) ).
fof(f3525,plain,
( e0 = op(e0,e2)
| ~ spl3_61
| ~ spl3_112 ),
inference(forward_demodulation,[],[f551,f819]) ).
fof(f3632,plain,
( ~ spl3_136
| spl3_66
| ~ spl3_95 ),
inference(avatar_split_clause,[],[f2252,f705,f574,f3629]) ).
fof(f2252,plain,
( e2 != op(e2,e3)
| spl3_66
| ~ spl3_95 ),
inference(forward_demodulation,[],[f575,f706]) ).
fof(f3581,plain,
( spl3_6
| ~ spl3_72
| ~ spl3_77
| ~ spl3_112 ),
inference(avatar_split_clause,[],[f3523,f817,f627,f604,f277]) ).
fof(f3523,plain,
( e2 = e3
| ~ spl3_72
| ~ spl3_77
| ~ spl3_112 ),
inference(forward_demodulation,[],[f3522,f819]) ).
fof(f3527,plain,
( spl3_3
| ~ spl3_72
| ~ spl3_77
| ~ spl3_100
| ~ spl3_107
| ~ spl3_112 ),
inference(avatar_split_clause,[],[f3519,f817,f770,f726,f627,f604,f262]) ).
fof(f3519,plain,
( e0 = e3
| ~ spl3_72
| ~ spl3_77
| ~ spl3_100
| ~ spl3_107
| ~ spl3_112 ),
inference(forward_demodulation,[],[f3238,f3446]) ).
fof(f3238,plain,
( e2 = e3
| ~ spl3_72
| ~ spl3_77
| ~ spl3_112 ),
inference(forward_demodulation,[],[f3237,f819]) ).
fof(f3237,plain,
( e3 = op(e3,e0)
| ~ spl3_72
| ~ spl3_77 ),
inference(forward_demodulation,[],[f606,f628]) ).
fof(f3513,plain,
( spl3_101
| ~ spl3_58
| ~ spl3_76 ),
inference(avatar_split_clause,[],[f3325,f622,f535,f730]) ).
fof(f3325,plain,
( e0 = op(e0,e3)
| ~ spl3_58
| ~ spl3_76 ),
inference(forward_demodulation,[],[f537,f623]) ).
fof(f3450,plain,
( spl3_2
| ~ spl3_112
| ~ spl3_117 ),
inference(avatar_split_clause,[],[f3004,f906,f817,f257]) ).
fof(f3004,plain,
( e0 = e2
| ~ spl3_112
| ~ spl3_117 ),
inference(superposition,[],[f908,f819]) ).
fof(f3409,plain,
( spl3_5
| ~ spl3_125
| ~ spl3_126 ),
inference(avatar_split_clause,[],[f3229,f1126,f1100,f272]) ).
fof(f3229,plain,
( e1 = e3
| ~ spl3_125
| ~ spl3_126 ),
inference(forward_demodulation,[],[f1128,f1102]) ).
fof(f3327,plain,
( spl3_1
| ~ spl3_61
| ~ spl3_102
| ~ spl3_117 ),
inference(avatar_split_clause,[],[f3266,f906,f736,f549,f252]) ).
fof(f3266,plain,
( e0 = e1
| ~ spl3_61
| ~ spl3_102
| ~ spl3_117 ),
inference(forward_demodulation,[],[f738,f1067]) ).
fof(f3312,plain,
( spl3_3
| ~ spl3_72
| ~ spl3_77
| ~ spl3_112
| ~ spl3_117 ),
inference(avatar_split_clause,[],[f3265,f906,f817,f627,f604,f262]) ).
fof(f3265,plain,
( e0 = e3
| ~ spl3_72
| ~ spl3_77
| ~ spl3_112
| ~ spl3_117 ),
inference(forward_demodulation,[],[f3238,f3004]) ).
fof(f3253,plain,
( spl3_1
| ~ spl3_56
| ~ spl3_75
| ~ spl3_114
| ~ spl3_125
| ~ spl3_126 ),
inference(avatar_split_clause,[],[f3190,f1126,f1100,f839,f618,f526,f252]) ).
fof(f3190,plain,
( e0 = e1
| ~ spl3_56
| ~ spl3_75
| ~ spl3_114
| ~ spl3_125
| ~ spl3_126 ),
inference(forward_demodulation,[],[f2027,f2789]) ).
fof(f2027,plain,
( e1 = op(e0,e1)
| ~ spl3_114
| ~ spl3_125
| ~ spl3_126 ),
inference(forward_demodulation,[],[f841,f1466]) ).
fof(f1466,plain,
( e1 = e3
| ~ spl3_125
| ~ spl3_126 ),
inference(superposition,[],[f1102,f1128]) ).
fof(f3154,plain,
( spl3_1
| ~ spl3_56
| ~ spl3_75
| ~ spl3_103 ),
inference(avatar_split_clause,[],[f3151,f740,f618,f526,f252]) ).
fof(f3151,plain,
( e0 = e1
| ~ spl3_56
| ~ spl3_75
| ~ spl3_103 ),
inference(forward_demodulation,[],[f742,f2789]) ).
fof(f3146,plain,
( spl3_5
| ~ spl3_104
| ~ spl3_114 ),
inference(avatar_split_clause,[],[f3130,f839,f744,f272]) ).
fof(f3130,plain,
( e1 = e3
| ~ spl3_104
| ~ spl3_114 ),
inference(superposition,[],[f746,f841]) ).
fof(f3115,plain,
( spl3_1
| ~ spl3_58
| ~ spl3_76
| ~ spl3_104 ),
inference(avatar_split_clause,[],[f3113,f744,f622,f535,f252]) ).
fof(f3113,plain,
( e0 = e1
| ~ spl3_58
| ~ spl3_76
| ~ spl3_104 ),
inference(forward_demodulation,[],[f746,f1056]) ).
fof(f1056,plain,
( e0 = op(e0,e3)
| ~ spl3_58
| ~ spl3_76 ),
inference(superposition,[],[f537,f623]) ).
fof(f3111,plain,
( spl3_1
| ~ spl3_99
| ~ spl3_103 ),
inference(avatar_split_clause,[],[f3110,f740,f722,f252]) ).
fof(f3110,plain,
( e0 = e1
| ~ spl3_99
| ~ spl3_103 ),
inference(forward_demodulation,[],[f742,f724]) ).
fof(f3093,plain,
( spl3_3
| ~ spl3_66
| ~ spl3_70
| ~ spl3_95
| ~ spl3_112
| ~ spl3_117 ),
inference(avatar_split_clause,[],[f3090,f906,f817,f705,f594,f574,f262]) ).
fof(f3090,plain,
( e0 = e3
| ~ spl3_66
| ~ spl3_70
| ~ spl3_95
| ~ spl3_112
| ~ spl3_117 ),
inference(forward_demodulation,[],[f3089,f908]) ).
fof(f3089,plain,
( e3 = op(e3,e0)
| ~ spl3_66
| ~ spl3_70
| ~ spl3_95
| ~ spl3_112
| ~ spl3_117 ),
inference(forward_demodulation,[],[f3088,f3004]) ).
fof(f3045,plain,
( spl3_4
| ~ spl3_75
| ~ spl3_111 ),
inference(avatar_split_clause,[],[f3042,f813,f618,f267]) ).
fof(f3042,plain,
( e1 = e2
| ~ spl3_75
| ~ spl3_111 ),
inference(forward_demodulation,[],[f815,f619]) ).
fof(f3028,plain,
( spl3_5
| ~ spl3_75
| ~ spl3_120 ),
inference(avatar_split_clause,[],[f3027,f1035,f618,f272]) ).
fof(f3027,plain,
( e1 = e3
| ~ spl3_75
| ~ spl3_120 ),
inference(forward_demodulation,[],[f1037,f619]) ).
fof(f3011,plain,
( spl3_122
| spl3_4
| spl3_6
| ~ spl3_65
| ~ spl3_76
| ~ spl3_86 ),
inference(avatar_split_clause,[],[f2990,f666,f622,f569,f277,f267,f1072]) ).
fof(f2990,plain,
( e2 = e3
| e1 = e2
| e2 = op(e1,e2)
| ~ spl3_65
| ~ spl3_76
| ~ spl3_86 ),
inference(duplicate_literal_removal,[],[f2989]) ).
fof(f2989,plain,
( e2 = e3
| e1 = e2
| e2 = e3
| e2 = op(e1,e2)
| ~ spl3_65
| ~ spl3_76
| ~ spl3_86 ),
inference(forward_demodulation,[],[f2988,f667]) ).
fof(f2988,plain,
( e1 = e2
| e2 = e3
| e2 = op(e1,e2)
| e2 = op(e1,e1)
| ~ spl3_65
| ~ spl3_76
| ~ spl3_86 ),
inference(forward_demodulation,[],[f2832,f2190]) ).
fof(f3003,plain,
( spl3_117
| spl3_1
| spl3_3
| ~ spl3_75
| ~ spl3_76
| ~ spl3_102 ),
inference(avatar_split_clause,[],[f2782,f736,f622,f618,f262,f252,f906]) ).
fof(f2782,plain,
( e0 = e3
| e0 = e1
| e0 = op(e3,e0)
| ~ spl3_75
| ~ spl3_76
| ~ spl3_102 ),
inference(forward_demodulation,[],[f2763,f623]) ).
fof(f2763,plain,
( e0 = e1
| e0 = op(e3,e0)
| e0 = op(e1,e0)
| ~ spl3_75
| ~ spl3_102 ),
inference(duplicate_literal_removal,[],[f2762]) ).
fof(f2762,plain,
( e0 = e1
| e0 = e1
| e0 = op(e3,e0)
| e0 = op(e1,e0)
| ~ spl3_75
| ~ spl3_102 ),
inference(forward_demodulation,[],[f1755,f619]) ).
fof(f2987,plain,
( spl3_5
| ~ spl3_64
| ~ spl3_86
| ~ spl3_125 ),
inference(avatar_split_clause,[],[f2986,f1100,f666,f564,f272]) ).
fof(f2986,plain,
( e1 = e3
| ~ spl3_64
| ~ spl3_86
| ~ spl3_125 ),
inference(forward_demodulation,[],[f667,f2829]) ).
fof(f2829,plain,
( e1 = op(e1,e1)
| ~ spl3_64
| ~ spl3_125 ),
inference(superposition,[],[f566,f1102]) ).
fof(f2980,plain,
( spl3_126
| ~ spl3_62
| ~ spl3_73
| ~ spl3_115 ),
inference(avatar_split_clause,[],[f2961,f896,f609,f554,f1126]) ).
fof(f2961,plain,
( e3 = op(e3,e1)
| ~ spl3_62
| ~ spl3_73
| ~ spl3_115 ),
inference(forward_demodulation,[],[f611,f1865]) ).
fof(f2960,plain,
( ~ spl3_129
| ~ spl3_66
| spl3_70
| ~ spl3_95 ),
inference(avatar_split_clause,[],[f2941,f705,f594,f574,f1193]) ).
fof(f2941,plain,
( e3 != op(e3,e2)
| ~ spl3_66
| spl3_70
| ~ spl3_95 ),
inference(forward_demodulation,[],[f595,f2198]) ).
fof(f2948,plain,
( spl3_129
| ~ spl3_73
| ~ spl3_87 ),
inference(avatar_split_clause,[],[f2940,f670,f609,f1193]) ).
fof(f2940,plain,
( e3 = op(e3,e2)
| ~ spl3_73
| ~ spl3_87 ),
inference(forward_demodulation,[],[f611,f671]) ).
fof(f2947,plain,
( ~ spl3_135
| spl3_71
| ~ spl3_114 ),
inference(avatar_split_clause,[],[f2265,f839,f599,f2944]) ).
fof(f2265,plain,
( e3 != op(e3,e3)
| spl3_71
| ~ spl3_114 ),
inference(forward_demodulation,[],[f600,f841]) ).
fof(f2939,plain,
( spl3_6
| ~ spl3_70
| ~ spl3_88
| ~ spl3_112 ),
inference(avatar_split_clause,[],[f2928,f817,f674,f594,f277]) ).
fof(f2928,plain,
( e2 = e3
| ~ spl3_70
| ~ spl3_88
| ~ spl3_112 ),
inference(forward_demodulation,[],[f2925,f819]) ).
fof(f2898,plain,
( spl3_4
| ~ spl3_64
| ~ spl3_87
| ~ spl3_126 ),
inference(avatar_split_clause,[],[f2897,f1126,f670,f564,f267]) ).
fof(f2897,plain,
( e1 = e2
| ~ spl3_64
| ~ spl3_87
| ~ spl3_126 ),
inference(forward_demodulation,[],[f671,f2868]) ).
fof(f2868,plain,
( e1 = op(e1,e3)
| ~ spl3_64
| ~ spl3_126 ),
inference(superposition,[],[f566,f1128]) ).
fof(f2880,plain,
( spl3_1
| ~ spl3_64
| ~ spl3_97
| ~ spl3_126 ),
inference(avatar_split_clause,[],[f1138,f1126,f713,f564,f252]) ).
fof(f1138,plain,
( e0 = e1
| ~ spl3_64
| ~ spl3_97
| ~ spl3_126 ),
inference(forward_demodulation,[],[f1134,f714]) ).
fof(f1134,plain,
( e1 = op(e1,e3)
| ~ spl3_64
| ~ spl3_126 ),
inference(superposition,[],[f566,f1128]) ).
fof(f2843,plain,
( spl3_4
| ~ spl3_87
| ~ spl3_130 ),
inference(avatar_split_clause,[],[f2842,f1477,f670,f267]) ).
fof(f2842,plain,
( e1 = e2
| ~ spl3_87
| ~ spl3_130 ),
inference(forward_demodulation,[],[f671,f1478]) ).
fof(f2831,plain,
( spl3_88
| spl3_3
| spl3_1
| ~ spl3_75
| ~ spl3_95
| ~ spl3_115 ),
inference(avatar_split_clause,[],[f2761,f896,f705,f618,f252,f262,f674]) ).
fof(f2761,plain,
( e0 = e1
| e0 = e3
| e0 = op(e2,e3)
| ~ spl3_75
| ~ spl3_95
| ~ spl3_115 ),
inference(forward_demodulation,[],[f2760,f619]) ).
fof(f2760,plain,
( e0 = e3
| e0 = op(e2,e3)
| e0 = op(e2,e0)
| ~ spl3_95
| ~ spl3_115 ),
inference(duplicate_literal_removal,[],[f2759]) ).
fof(f2759,plain,
( e0 = e3
| e0 = e3
| e0 = op(e2,e3)
| e0 = op(e2,e0)
| ~ spl3_95
| ~ spl3_115 ),
inference(forward_demodulation,[],[f2758,f897]) ).
fof(f2826,plain,
( ~ spl3_133
| spl3_67
| ~ spl3_107 ),
inference(avatar_split_clause,[],[f2672,f770,f579,f2279]) ).
fof(f2672,plain,
( e2 != op(e2,e2)
| spl3_67
| ~ spl3_107 ),
inference(forward_demodulation,[],[f580,f772]) ).
fof(f2780,plain,
( spl3_5
| ~ spl3_63
| ~ spl3_76
| ~ spl3_99 ),
inference(avatar_split_clause,[],[f2779,f722,f622,f559,f272]) ).
fof(f2779,plain,
( e1 = e3
| ~ spl3_63
| ~ spl3_76
| ~ spl3_99 ),
inference(forward_demodulation,[],[f623,f832]) ).
fof(f2755,plain,
( spl3_1
| ~ spl3_75
| ~ spl3_116 ),
inference(avatar_split_clause,[],[f2729,f902,f618,f252]) ).
fof(f2729,plain,
( e0 = e1
| ~ spl3_75
| ~ spl3_116 ),
inference(forward_demodulation,[],[f619,f904]) ).
fof(f2730,plain,
( spl3_5
| ~ spl3_86
| ~ spl3_123 ),
inference(avatar_split_clause,[],[f2698,f1092,f666,f272]) ).
fof(f2698,plain,
( e1 = e3
| ~ spl3_86
| ~ spl3_123 ),
inference(forward_demodulation,[],[f667,f1094]) ).
fof(f2699,plain,
( spl3_5
| ~ spl3_80
| ~ spl3_95 ),
inference(avatar_split_clause,[],[f2657,f705,f640,f272]) ).
fof(f2657,plain,
( e1 = e3
| ~ spl3_80
| ~ spl3_95 ),
inference(forward_demodulation,[],[f706,f641]) ).
fof(f2674,plain,
( spl3_6
| ~ spl3_126
| ~ spl3_131 ),
inference(avatar_split_clause,[],[f2529,f1483,f1126,f277]) ).
fof(f2529,plain,
( e2 = e3
| ~ spl3_126
| ~ spl3_131 ),
inference(forward_demodulation,[],[f1128,f1485]) ).
fof(f2638,plain,
( spl3_6
| ~ spl3_95
| ~ spl3_133 ),
inference(avatar_split_clause,[],[f2283,f2279,f705,f277]) ).
fof(f2283,plain,
( e2 = e3
| ~ spl3_95
| ~ spl3_133 ),
inference(superposition,[],[f2281,f706]) ).
fof(f2607,plain,
( ~ spl3_109
| ~ spl3_66
| ~ spl3_80
| spl3_90
| ~ spl3_124 ),
inference(avatar_split_clause,[],[f2600,f1096,f683,f640,f574,f799]) ).
fof(f2600,plain,
( e0 != op(e1,e1)
| ~ spl3_66
| ~ spl3_80
| spl3_90
| ~ spl3_124 ),
inference(forward_demodulation,[],[f685,f2538]) ).
fof(f2538,plain,
( e1 = e2
| ~ spl3_66
| ~ spl3_80
| ~ spl3_124 ),
inference(forward_demodulation,[],[f1836,f1098]) ).
fof(f685,plain,
( e0 != op(e1,e2)
| spl3_90 ),
inference(avatar_component_clause,[],[f683]) ).
fof(f2601,plain,
( spl3_109
| spl3_1
| ~ spl3_62
| ~ spl3_66
| ~ spl3_80
| ~ spl3_95
| ~ spl3_107
| ~ spl3_124
| ~ spl3_133 ),
inference(avatar_split_clause,[],[f2560,f2279,f1096,f770,f705,f640,f574,f554,f252,f799]) ).
fof(f2560,plain,
( e0 = e1
| e0 = op(e1,e1)
| ~ spl3_62
| ~ spl3_66
| ~ spl3_80
| ~ spl3_95
| ~ spl3_107
| ~ spl3_124
| ~ spl3_133 ),
inference(duplicate_literal_removal,[],[f2559]) ).
fof(f2559,plain,
( e0 = e1
| e0 = op(e1,e1)
| e0 = e1
| ~ spl3_62
| ~ spl3_66
| ~ spl3_80
| ~ spl3_95
| ~ spl3_107
| ~ spl3_124
| ~ spl3_133 ),
inference(forward_demodulation,[],[f2558,f2538]) ).
fof(f2558,plain,
( e0 = e2
| e0 = op(e1,e1)
| e0 = e1
| ~ spl3_62
| ~ spl3_66
| ~ spl3_80
| ~ spl3_95
| ~ spl3_107
| ~ spl3_124
| ~ spl3_133 ),
inference(forward_demodulation,[],[f2557,f772]) ).
fof(f2557,plain,
( e0 = op(e1,e1)
| e0 = e1
| e0 = op(e0,e2)
| ~ spl3_62
| ~ spl3_66
| ~ spl3_80
| ~ spl3_95
| ~ spl3_124
| ~ spl3_133 ),
inference(forward_demodulation,[],[f2556,f2538]) ).
fof(f2556,plain,
( e0 = e1
| e0 = op(e1,e2)
| e0 = op(e0,e2)
| ~ spl3_62
| ~ spl3_66
| ~ spl3_80
| ~ spl3_95
| ~ spl3_124
| ~ spl3_133 ),
inference(duplicate_literal_removal,[],[f2555]) ).
fof(f2555,plain,
( e0 = e1
| e0 = e1
| e0 = op(e1,e2)
| e0 = op(e0,e2)
| ~ spl3_62
| ~ spl3_66
| ~ spl3_80
| ~ spl3_95
| ~ spl3_124
| ~ spl3_133 ),
inference(forward_demodulation,[],[f2554,f2236]) ).
fof(f2554,plain,
( e0 = op(e1,e1)
| e0 = e1
| e0 = op(e1,e2)
| e0 = op(e0,e2)
| ~ spl3_66
| ~ spl3_80
| ~ spl3_95
| ~ spl3_124
| ~ spl3_133 ),
inference(forward_demodulation,[],[f2553,f2538]) ).
fof(f2553,plain,
( e0 = op(e2,e1)
| e0 = e1
| e0 = op(e1,e2)
| e0 = op(e0,e2)
| ~ spl3_66
| ~ spl3_80
| ~ spl3_95
| ~ spl3_124
| ~ spl3_133 ),
inference(forward_demodulation,[],[f2552,f2283]) ).
fof(f2552,plain,
( e0 = op(e3,e1)
| e0 = e1
| e0 = op(e1,e2)
| e0 = op(e0,e2)
| ~ spl3_66
| ~ spl3_80
| ~ spl3_124 ),
inference(forward_demodulation,[],[f1713,f2538]) ).
fof(f2548,plain,
( spl3_1
| ~ spl3_90
| ~ spl3_95
| ~ spl3_130
| ~ spl3_133 ),
inference(avatar_split_clause,[],[f2543,f2279,f1477,f705,f683,f252]) ).
fof(f2543,plain,
( e0 = e1
| ~ spl3_90
| ~ spl3_95
| ~ spl3_130
| ~ spl3_133 ),
inference(forward_demodulation,[],[f2542,f684]) ).
fof(f2542,plain,
( e1 = op(e1,e2)
| ~ spl3_95
| ~ spl3_130
| ~ spl3_133 ),
inference(forward_demodulation,[],[f1478,f2283]) ).
fof(f2541,plain,
( spl3_130
| spl3_96
| spl3_1
| spl3_5
| ~ spl3_77
| ~ spl3_114 ),
inference(avatar_split_clause,[],[f2142,f839,f627,f272,f252,f709,f1477]) ).
fof(f2142,plain,
( e1 = e3
| e0 = e1
| e1 = op(e2,e3)
| e1 = op(e1,e3)
| ~ spl3_77
| ~ spl3_114 ),
inference(forward_demodulation,[],[f2141,f841]) ).
fof(f2141,plain,
( e0 = e1
| e1 = op(e2,e3)
| e1 = op(e1,e3)
| e1 = op(e0,e3)
| ~ spl3_77 ),
inference(forward_demodulation,[],[f142,f628]) ).
fof(f2537,plain,
( spl3_4
| spl3_80
| spl3_1
| ~ spl3_90
| ~ spl3_95
| ~ spl3_107
| ~ spl3_133 ),
inference(avatar_split_clause,[],[f2524,f2279,f770,f705,f683,f252,f640,f267]) ).
fof(f2524,plain,
( e0 = e1
| e1 = op(e2,e2)
| e1 = e2
| ~ spl3_90
| ~ spl3_95
| ~ spl3_107
| ~ spl3_133 ),
inference(forward_demodulation,[],[f2523,f684]) ).
fof(f2523,plain,
( e1 = op(e2,e2)
| e1 = e2
| e1 = op(e1,e2)
| ~ spl3_95
| ~ spl3_107
| ~ spl3_133 ),
inference(forward_demodulation,[],[f2330,f2283]) ).
fof(f2517,plain,
( spl3_5
| ~ spl3_62
| ~ spl3_86
| ~ spl3_124 ),
inference(avatar_split_clause,[],[f2475,f1096,f666,f554,f272]) ).
fof(f2475,plain,
( e1 = e3
| ~ spl3_62
| ~ spl3_86
| ~ spl3_124 ),
inference(forward_demodulation,[],[f667,f2236]) ).
fof(f2477,plain,
( spl3_2
| ~ spl3_70
| ~ spl3_77
| ~ spl3_95
| ~ spl3_127
| ~ spl3_133 ),
inference(avatar_split_clause,[],[f2447,f2279,f1150,f705,f627,f594,f257]) ).
fof(f2447,plain,
( e0 = e2
| ~ spl3_70
| ~ spl3_77
| ~ spl3_95
| ~ spl3_127
| ~ spl3_133 ),
inference(forward_demodulation,[],[f2446,f1187]) ).
fof(f1187,plain,
( e0 = e3
| ~ spl3_70
| ~ spl3_77
| ~ spl3_127 ),
inference(forward_demodulation,[],[f1180,f628]) ).
fof(f2446,plain,
( e2 = e3
| ~ spl3_95
| ~ spl3_133 ),
inference(forward_demodulation,[],[f706,f2281]) ).
fof(f2449,plain,
( spl3_2
| ~ spl3_70
| ~ spl3_77
| ~ spl3_126
| ~ spl3_127
| ~ spl3_131 ),
inference(avatar_split_clause,[],[f2421,f1483,f1150,f1126,f627,f594,f257]) ).
fof(f2421,plain,
( e0 = e2
| ~ spl3_70
| ~ spl3_77
| ~ spl3_126
| ~ spl3_127
| ~ spl3_131 ),
inference(forward_demodulation,[],[f2420,f1187]) ).
fof(f2420,plain,
( e2 = e3
| ~ spl3_126
| ~ spl3_131 ),
inference(forward_demodulation,[],[f1128,f1485]) ).
fof(f2372,plain,
( spl3_134
| spl3_5
| spl3_4
| ~ spl3_107
| ~ spl3_128
| ~ spl3_133 ),
inference(avatar_split_clause,[],[f2333,f2279,f1189,f770,f267,f272,f2369]) ).
fof(f2333,plain,
( e1 = e2
| e1 = e3
| e1 = op(e3,e2)
| ~ spl3_107
| ~ spl3_128
| ~ spl3_133 ),
inference(duplicate_literal_removal,[],[f2332]) ).
fof(f2332,plain,
( e1 = e2
| e1 = e2
| e1 = e3
| e1 = op(e3,e2)
| ~ spl3_107
| ~ spl3_128
| ~ spl3_133 ),
inference(forward_demodulation,[],[f2100,f2281]) ).
fof(f2317,plain,
( spl3_90
| spl3_2
| ~ spl3_79
| ~ spl3_86
| ~ spl3_95
| ~ spl3_133 ),
inference(avatar_split_clause,[],[f2313,f2279,f705,f666,f635,f257,f683]) ).
fof(f2313,plain,
( e0 = e2
| e0 = op(e1,e2)
| ~ spl3_79
| ~ spl3_86
| ~ spl3_95
| ~ spl3_133 ),
inference(duplicate_literal_removal,[],[f2312]) ).
fof(f2312,plain,
( e0 = e2
| e0 = e2
| e0 = op(e1,e2)
| ~ spl3_79
| ~ spl3_86
| ~ spl3_95
| ~ spl3_133 ),
inference(forward_demodulation,[],[f2311,f636]) ).
fof(f2311,plain,
( e0 = e2
| e0 = op(e1,e2)
| e0 = op(e1,e0)
| ~ spl3_86
| ~ spl3_95
| ~ spl3_133 ),
inference(forward_demodulation,[],[f2310,f2283]) ).
fof(f2310,plain,
( e0 = e3
| e0 = op(e1,e2)
| e0 = op(e1,e0)
| ~ spl3_86
| ~ spl3_95
| ~ spl3_133 ),
inference(forward_demodulation,[],[f2309,f667]) ).
fof(f2309,plain,
( e0 = op(e1,e2)
| e0 = op(e1,e1)
| e0 = op(e1,e0)
| ~ spl3_95
| ~ spl3_133 ),
inference(duplicate_literal_removal,[],[f2308]) ).
fof(f2308,plain,
( e0 = op(e1,e2)
| e0 = op(e1,e2)
| e0 = op(e1,e1)
| e0 = op(e1,e0)
| ~ spl3_95
| ~ spl3_133 ),
inference(forward_demodulation,[],[f123,f2283]) ).
fof(f2295,plain,
( spl3_74
| ~ spl3_93
| ~ spl3_95
| ~ spl3_133 ),
inference(avatar_split_clause,[],[f2294,f2279,f705,f696,f614]) ).
fof(f2294,plain,
( e0 = op(e2,e2)
| ~ spl3_93
| ~ spl3_95
| ~ spl3_133 ),
inference(forward_demodulation,[],[f697,f2283]) ).
fof(f2291,plain,
( spl3_93
| spl3_2
| spl3_3
| ~ spl3_95
| ~ spl3_107
| ~ spl3_128 ),
inference(avatar_split_clause,[],[f2256,f1189,f770,f705,f262,f257,f696]) ).
fof(f2256,plain,
( e0 = e3
| e0 = e2
| e0 = op(e3,e2)
| ~ spl3_95
| ~ spl3_107
| ~ spl3_128 ),
inference(duplicate_literal_removal,[],[f2255]) ).
fof(f2255,plain,
( e0 = e3
| e0 = e2
| e0 = e3
| e0 = op(e3,e2)
| ~ spl3_95
| ~ spl3_107
| ~ spl3_128 ),
inference(forward_demodulation,[],[f2095,f706]) ).
fof(f2282,plain,
( spl3_133
| ~ spl3_67
| ~ spl3_107 ),
inference(avatar_split_clause,[],[f2251,f770,f579,f2279]) ).
fof(f2251,plain,
( e2 = op(e2,e2)
| ~ spl3_67
| ~ spl3_107 ),
inference(forward_demodulation,[],[f581,f772]) ).
fof(f2268,plain,
( spl3_99
| ~ spl3_60
| ~ spl3_102 ),
inference(avatar_split_clause,[],[f1475,f736,f544,f722]) ).
fof(f1475,plain,
( e0 = op(e0,e1)
| ~ spl3_60
| ~ spl3_102 ),
inference(forward_demodulation,[],[f546,f738]) ).
fof(f2254,plain,
( spl3_3
| ~ spl3_71
| ~ spl3_77
| ~ spl3_114 ),
inference(avatar_split_clause,[],[f2250,f839,f627,f599,f262]) ).
fof(f2250,plain,
( e0 = e3
| ~ spl3_71
| ~ spl3_77
| ~ spl3_114 ),
inference(forward_demodulation,[],[f2249,f628]) ).
fof(f2239,plain,
( spl3_4
| ~ spl3_66
| ~ spl3_95
| ~ spl3_96 ),
inference(avatar_split_clause,[],[f2203,f709,f705,f574,f267]) ).
fof(f2203,plain,
( e1 = e2
| ~ spl3_66
| ~ spl3_95
| ~ spl3_96 ),
inference(forward_demodulation,[],[f2198,f710]) ).
fof(f2170,plain,
( spl3_4
| ~ spl3_125
| ~ spl3_131 ),
inference(avatar_split_clause,[],[f1493,f1483,f1100,f267]) ).
fof(f1493,plain,
( e1 = e2
| ~ spl3_125
| ~ spl3_131 ),
inference(forward_demodulation,[],[f1485,f1102]) ).
fof(f2160,plain,
( spl3_2
| ~ spl3_77
| ~ spl3_92 ),
inference(avatar_split_clause,[],[f2150,f692,f627,f257]) ).
fof(f2150,plain,
( e0 = e2
| ~ spl3_77
| ~ spl3_92 ),
inference(superposition,[],[f628,f693]) ).
fof(f2140,plain,
( spl3_5
| ~ spl3_115
| ~ spl3_124 ),
inference(avatar_split_clause,[],[f2102,f1096,f896,f272]) ).
fof(f2102,plain,
( e1 = e3
| ~ spl3_115
| ~ spl3_124 ),
inference(forward_demodulation,[],[f897,f1098]) ).
fof(f2091,plain,
( spl3_3
| ~ spl3_62
| ~ spl3_97
| ~ spl3_115
| ~ spl3_116 ),
inference(avatar_split_clause,[],[f2057,f902,f896,f713,f554,f262]) ).
fof(f2057,plain,
( e0 = e3
| ~ spl3_62
| ~ spl3_97
| ~ spl3_115
| ~ spl3_116 ),
inference(forward_demodulation,[],[f2056,f904]) ).
fof(f2056,plain,
( e3 = op(e2,e0)
| ~ spl3_62
| ~ spl3_97
| ~ spl3_115 ),
inference(forward_demodulation,[],[f897,f1869]) ).
fof(f2055,plain,
( spl3_6
| ~ spl3_66
| ~ spl3_80
| ~ spl3_115 ),
inference(avatar_split_clause,[],[f2054,f896,f640,f574,f277]) ).
fof(f2054,plain,
( e2 = e3
| ~ spl3_66
| ~ spl3_80
| ~ spl3_115 ),
inference(forward_demodulation,[],[f897,f1836]) ).
fof(f2045,plain,
( spl3_1
| ~ spl3_60
| ~ spl3_102
| ~ spl3_114
| ~ spl3_125
| ~ spl3_126 ),
inference(avatar_split_clause,[],[f2028,f1126,f1100,f839,f736,f544,f252]) ).
fof(f2028,plain,
( e0 = e1
| ~ spl3_60
| ~ spl3_102
| ~ spl3_114
| ~ spl3_125
| ~ spl3_126 ),
inference(forward_demodulation,[],[f2027,f1475]) ).
fof(f2033,plain,
( spl3_2
| ~ spl3_58
| ~ spl3_79
| ~ spl3_107 ),
inference(avatar_split_clause,[],[f2019,f770,f635,f535,f257]) ).
fof(f2019,plain,
( e0 = e2
| ~ spl3_58
| ~ spl3_79
| ~ spl3_107 ),
inference(forward_demodulation,[],[f772,f824]) ).
fof(f824,plain,
( e0 = op(e0,e2)
| ~ spl3_58
| ~ spl3_79 ),
inference(superposition,[],[f537,f636]) ).
fof(f2022,plain,
( spl3_3
| ~ spl3_61
| ~ spl3_114
| ~ spl3_121 ),
inference(avatar_split_clause,[],[f2018,f1039,f839,f549,f262]) ).
fof(f2018,plain,
( e0 = e3
| ~ spl3_61
| ~ spl3_114
| ~ spl3_121 ),
inference(forward_demodulation,[],[f841,f1976]) ).
fof(f1976,plain,
( e0 = op(e0,e3)
| ~ spl3_61
| ~ spl3_121 ),
inference(superposition,[],[f551,f1041]) ).
fof(f1990,plain,
( spl3_2
| ~ spl3_101
| ~ spl3_108 ),
inference(avatar_split_clause,[],[f1963,f774,f730,f257]) ).
fof(f1963,plain,
( e0 = e2
| ~ spl3_101
| ~ spl3_108 ),
inference(superposition,[],[f776,f732]) ).
fof(f1948,plain,
( spl3_3
| ~ spl3_82
| ~ spl3_99 ),
inference(avatar_split_clause,[],[f1931,f722,f648,f262]) ).
fof(f1931,plain,
( e0 = e3
| ~ spl3_82
| ~ spl3_99 ),
inference(forward_demodulation,[],[f649,f724]) ).
fof(f1932,plain,
( spl3_2
| ~ spl3_99
| ~ spl3_108
| ~ spl3_125
| ~ spl3_126 ),
inference(avatar_split_clause,[],[f1637,f1126,f1100,f774,f722,f257]) ).
fof(f1637,plain,
( e0 = e2
| ~ spl3_99
| ~ spl3_108
| ~ spl3_125
| ~ spl3_126 ),
inference(forward_demodulation,[],[f1636,f724]) ).
fof(f1636,plain,
( e2 = op(e0,e1)
| ~ spl3_108
| ~ spl3_125
| ~ spl3_126 ),
inference(forward_demodulation,[],[f776,f1466]) ).
fof(f1902,plain,
( spl3_4
| ~ spl3_94
| ~ spl3_107 ),
inference(avatar_split_clause,[],[f1880,f770,f700,f267]) ).
fof(f1880,plain,
( e1 = e2
| ~ spl3_94
| ~ spl3_107 ),
inference(forward_demodulation,[],[f772,f701]) ).
fof(f1882,plain,
( spl3_2
| ~ spl3_62
| ~ spl3_94
| ~ spl3_97
| ~ spl3_107
| ~ spl3_115 ),
inference(avatar_split_clause,[],[f1881,f896,f770,f713,f700,f554,f257]) ).
fof(f1881,plain,
( e0 = e2
| ~ spl3_62
| ~ spl3_94
| ~ spl3_97
| ~ spl3_107
| ~ spl3_115 ),
inference(forward_demodulation,[],[f1880,f1869]) ).
fof(f1875,plain,
( spl3_6
| ~ spl3_108
| ~ spl3_114 ),
inference(avatar_split_clause,[],[f1851,f839,f774,f277]) ).
fof(f1851,plain,
( e2 = e3
| ~ spl3_108
| ~ spl3_114 ),
inference(superposition,[],[f776,f841]) ).
fof(f1812,plain,
( spl3_6
| ~ spl3_112
| ~ spl3_121 ),
inference(avatar_split_clause,[],[f1760,f1039,f817,f277]) ).
fof(f1760,plain,
( e2 = e3
| ~ spl3_112
| ~ spl3_121 ),
inference(forward_demodulation,[],[f1041,f819]) ).
fof(f1754,plain,
( spl3_3
| ~ spl3_88
| ~ spl3_127 ),
inference(avatar_split_clause,[],[f1718,f1150,f674,f262]) ).
fof(f1718,plain,
( e0 = e3
| ~ spl3_88
| ~ spl3_127 ),
inference(forward_demodulation,[],[f1152,f675]) ).
fof(f1711,plain,
( spl3_3
| ~ spl3_117
| ~ spl3_121 ),
inference(avatar_split_clause,[],[f1641,f1039,f906,f262]) ).
fof(f1641,plain,
( e0 = e3
| ~ spl3_117
| ~ spl3_121 ),
inference(forward_demodulation,[],[f1041,f908]) ).
fof(f1655,plain,
( spl3_1
| ~ spl3_88
| ~ spl3_125
| ~ spl3_126
| ~ spl3_127 ),
inference(avatar_split_clause,[],[f1621,f1150,f1126,f1100,f674,f252]) ).
fof(f1621,plain,
( e0 = e1
| ~ spl3_88
| ~ spl3_125
| ~ spl3_126
| ~ spl3_127 ),
inference(forward_demodulation,[],[f1518,f1505]) ).
fof(f1505,plain,
( e0 = op(e2,e1)
| ~ spl3_88
| ~ spl3_125
| ~ spl3_126 ),
inference(forward_demodulation,[],[f675,f1466]) ).
fof(f1518,plain,
( e1 = op(e2,e1)
| ~ spl3_125
| ~ spl3_126
| ~ spl3_127 ),
inference(forward_demodulation,[],[f1152,f1466]) ).
fof(f1644,plain,
( spl3_2
| ~ spl3_87
| ~ spl3_97 ),
inference(avatar_split_clause,[],[f1425,f713,f670,f257]) ).
fof(f1425,plain,
( e0 = e2
| ~ spl3_87
| ~ spl3_97 ),
inference(forward_demodulation,[],[f671,f714]) ).
fof(f1618,plain,
( spl3_2
| ~ spl3_58
| ~ spl3_76
| ~ spl3_108 ),
inference(avatar_split_clause,[],[f1556,f774,f622,f535,f257]) ).
fof(f1556,plain,
( e0 = e2
| ~ spl3_58
| ~ spl3_76
| ~ spl3_108 ),
inference(forward_demodulation,[],[f776,f1056]) ).
fof(f1558,plain,
( spl3_2
| ~ spl3_92
| ~ spl3_109
| ~ spl3_125
| ~ spl3_126 ),
inference(avatar_split_clause,[],[f1498,f1126,f1100,f799,f692,f257]) ).
fof(f1498,plain,
( e0 = e2
| ~ spl3_92
| ~ spl3_109
| ~ spl3_125
| ~ spl3_126 ),
inference(forward_demodulation,[],[f1497,f801]) ).
fof(f1497,plain,
( e2 = op(e1,e1)
| ~ spl3_92
| ~ spl3_125
| ~ spl3_126 ),
inference(forward_demodulation,[],[f693,f1466]) ).
fof(f1499,plain,
( spl3_2
| ~ spl3_85
| ~ spl3_99 ),
inference(avatar_split_clause,[],[f828,f722,f661,f257]) ).
fof(f828,plain,
( e0 = e2
| ~ spl3_85
| ~ spl3_99 ),
inference(superposition,[],[f724,f662]) ).
fof(f1495,plain,
( spl3_1
| ~ spl3_85
| ~ spl3_99
| ~ spl3_125
| ~ spl3_131 ),
inference(avatar_split_clause,[],[f1494,f1483,f1100,f722,f661,f252]) ).
fof(f1494,plain,
( e0 = e1
| ~ spl3_85
| ~ spl3_99
| ~ spl3_125
| ~ spl3_131 ),
inference(forward_demodulation,[],[f1493,f828]) ).
fof(f1490,plain,
( spl3_112
| spl3_131
| spl3_132
| spl3_92 ),
inference(avatar_split_clause,[],[f143,f692,f1487,f1483,f817]) ).
fof(f143,plain,
( e2 = op(e3,e3)
| e2 = op(e3,e2)
| e2 = op(e3,e1)
| e2 = op(e3,e0) ),
inference(cnf_transformation,[],[f2]) ).
fof(f1480,plain,
( ~ spl3_130
| spl3_64
| ~ spl3_126 ),
inference(avatar_split_clause,[],[f1398,f1126,f564,f1477]) ).
fof(f1398,plain,
( e1 != op(e1,e3)
| spl3_64
| ~ spl3_126 ),
inference(forward_demodulation,[],[f565,f1128]) ).
fof(f1474,plain,
( ~ spl3_99
| spl3_60
| ~ spl3_102 ),
inference(avatar_split_clause,[],[f1366,f736,f544,f722]) ).
fof(f1366,plain,
( e0 != op(e0,e1)
| spl3_60
| ~ spl3_102 ),
inference(forward_demodulation,[],[f545,f738]) ).
fof(f1445,plain,
( spl3_1
| ~ spl3_58
| ~ spl3_76
| ~ spl3_85
| ~ spl3_96
| ~ spl3_99 ),
inference(avatar_split_clause,[],[f1444,f722,f709,f661,f622,f535,f252]) ).
fof(f1444,plain,
( e0 = e1
| ~ spl3_58
| ~ spl3_76
| ~ spl3_85
| ~ spl3_96
| ~ spl3_99 ),
inference(forward_demodulation,[],[f1443,f1056]) ).
fof(f1443,plain,
( e1 = op(e0,e3)
| ~ spl3_85
| ~ spl3_96
| ~ spl3_99 ),
inference(forward_demodulation,[],[f710,f828]) ).
fof(f1432,plain,
( spl3_1
| ~ spl3_85
| ~ spl3_99
| ~ spl3_124 ),
inference(avatar_split_clause,[],[f1406,f1096,f722,f661,f252]) ).
fof(f1406,plain,
( e0 = e1
| ~ spl3_85
| ~ spl3_99
| ~ spl3_124 ),
inference(forward_demodulation,[],[f1405,f724]) ).
fof(f1405,plain,
( e1 = op(e0,e1)
| ~ spl3_85
| ~ spl3_99
| ~ spl3_124 ),
inference(forward_demodulation,[],[f1098,f828]) ).
fof(f1400,plain,
( spl3_1
| ~ spl3_81
| ~ spl3_124 ),
inference(avatar_split_clause,[],[f1377,f1096,f644,f252]) ).
fof(f1377,plain,
( e0 = e1
| ~ spl3_81
| ~ spl3_124 ),
inference(forward_demodulation,[],[f1098,f645]) ).
fof(f1378,plain,
( spl3_1
| ~ spl3_70
| ~ spl3_77
| ~ spl3_85
| ~ spl3_99
| ~ spl3_117
| ~ spl3_127 ),
inference(avatar_split_clause,[],[f1375,f1150,f906,f722,f661,f627,f594,f252]) ).
fof(f1375,plain,
( e0 = e1
| ~ spl3_70
| ~ spl3_77
| ~ spl3_85
| ~ spl3_99
| ~ spl3_117
| ~ spl3_127 ),
inference(duplicate_literal_removal,[],[f1374]) ).
fof(f1374,plain,
( e0 = e1
| e0 = e1
| ~ spl3_70
| ~ spl3_77
| ~ spl3_85
| ~ spl3_99
| ~ spl3_117
| ~ spl3_127 ),
inference(forward_demodulation,[],[f1373,f724]) ).
fof(f1373,plain,
( e1 = op(e0,e1)
| e0 = e1
| ~ spl3_70
| ~ spl3_77
| ~ spl3_85
| ~ spl3_99
| ~ spl3_117
| ~ spl3_127 ),
inference(forward_demodulation,[],[f1372,f1187]) ).
fof(f1372,plain,
( e0 = e1
| e1 = op(e3,e1)
| ~ spl3_77
| ~ spl3_85
| ~ spl3_99
| ~ spl3_117 ),
inference(duplicate_literal_removal,[],[f1371]) ).
fof(f1371,plain,
( e0 = e1
| e0 = e1
| e1 = op(e3,e1)
| ~ spl3_77
| ~ spl3_85
| ~ spl3_99
| ~ spl3_117 ),
inference(forward_demodulation,[],[f1370,f908]) ).
fof(f1370,plain,
( e1 = op(e3,e0)
| e0 = e1
| e1 = op(e3,e1)
| ~ spl3_77
| ~ spl3_85
| ~ spl3_99 ),
inference(duplicate_literal_removal,[],[f1369]) ).
fof(f1369,plain,
( e1 = op(e3,e0)
| e0 = e1
| e1 = op(e3,e1)
| e1 = op(e3,e0)
| ~ spl3_77
| ~ spl3_85
| ~ spl3_99 ),
inference(forward_demodulation,[],[f1368,f828]) ).
fof(f1368,plain,
( e0 = e1
| e1 = op(e3,e2)
| e1 = op(e3,e1)
| e1 = op(e3,e0)
| ~ spl3_77 ),
inference(forward_demodulation,[],[f141,f628]) ).
fof(f1367,plain,
( spl3_1
| ~ spl3_70
| ~ spl3_77
| ~ spl3_99
| ~ spl3_125
| ~ spl3_127 ),
inference(avatar_split_clause,[],[f1352,f1150,f1100,f722,f627,f594,f252]) ).
fof(f1352,plain,
( e0 = e1
| ~ spl3_70
| ~ spl3_77
| ~ spl3_99
| ~ spl3_125
| ~ spl3_127 ),
inference(forward_demodulation,[],[f1301,f724]) ).
fof(f1301,plain,
( e1 = op(e0,e1)
| ~ spl3_70
| ~ spl3_77
| ~ spl3_125
| ~ spl3_127 ),
inference(forward_demodulation,[],[f1102,f1187]) ).
fof(f1327,plain,
( spl3_5
| ~ spl3_85
| ~ spl3_95
| ~ spl3_99
| ~ spl3_102 ),
inference(avatar_split_clause,[],[f1326,f736,f722,f705,f661,f272]) ).
fof(f1326,plain,
( e1 = e3
| ~ spl3_85
| ~ spl3_95
| ~ spl3_99
| ~ spl3_102 ),
inference(forward_demodulation,[],[f1325,f738]) ).
fof(f1325,plain,
( op(e0,e0) = e3
| ~ spl3_85
| ~ spl3_95
| ~ spl3_99 ),
inference(forward_demodulation,[],[f706,f828]) ).
fof(f1304,plain,
( spl3_1
| ~ spl3_60
| ~ spl3_70
| ~ spl3_77
| ~ spl3_102
| ~ spl3_125
| ~ spl3_127 ),
inference(avatar_split_clause,[],[f1302,f1150,f1100,f736,f627,f594,f544,f252]) ).
fof(f1302,plain,
( e0 = e1
| ~ spl3_60
| ~ spl3_70
| ~ spl3_77
| ~ spl3_102
| ~ spl3_125
| ~ spl3_127 ),
inference(forward_demodulation,[],[f1301,f882]) ).
fof(f882,plain,
( e0 = op(e0,e1)
| ~ spl3_60
| ~ spl3_102 ),
inference(superposition,[],[f546,f738]) ).
fof(f1289,plain,
( spl3_122
| spl3_87
| spl3_4
| spl3_6
| ~ spl3_76
| ~ spl3_123 ),
inference(avatar_split_clause,[],[f1238,f1092,f622,f277,f267,f670,f1072]) ).
fof(f1238,plain,
( e2 = e3
| e1 = e2
| e2 = op(e1,e3)
| e2 = op(e1,e2)
| ~ spl3_76
| ~ spl3_123 ),
inference(forward_demodulation,[],[f1237,f623]) ).
fof(f1237,plain,
( e1 = e2
| e2 = op(e1,e3)
| e2 = op(e1,e2)
| e2 = op(e1,e0)
| ~ spl3_123 ),
inference(forward_demodulation,[],[f127,f1094]) ).
fof(f1264,plain,
( spl3_1
| ~ spl3_74
| ~ spl3_80 ),
inference(avatar_split_clause,[],[f1242,f640,f614,f252]) ).
fof(f1242,plain,
( e0 = e1
| ~ spl3_74
| ~ spl3_80 ),
inference(forward_demodulation,[],[f641,f615]) ).
fof(f1258,plain,
( spl3_1
| ~ spl3_94
| ~ spl3_100 ),
inference(avatar_split_clause,[],[f1172,f726,f700,f252]) ).
fof(f1172,plain,
( e0 = e1
| ~ spl3_94
| ~ spl3_100 ),
inference(superposition,[],[f701,f728]) ).
fof(f1234,plain,
( spl3_3
| ~ spl3_64
| ~ spl3_94
| ~ spl3_97
| ~ spl3_126
| ~ spl3_128 ),
inference(avatar_split_clause,[],[f1217,f1189,f1126,f713,f700,f564,f262]) ).
fof(f1217,plain,
( e0 = e3
| ~ spl3_64
| ~ spl3_94
| ~ spl3_97
| ~ spl3_126
| ~ spl3_128 ),
inference(forward_demodulation,[],[f1216,f1138]) ).
fof(f1216,plain,
( e1 = e3
| ~ spl3_64
| ~ spl3_94
| ~ spl3_97
| ~ spl3_126
| ~ spl3_128 ),
inference(forward_demodulation,[],[f1215,f701]) ).
fof(f1215,plain,
( e3 = op(e0,e2)
| ~ spl3_64
| ~ spl3_97
| ~ spl3_126
| ~ spl3_128 ),
inference(forward_demodulation,[],[f1191,f1138]) ).
fof(f1212,plain,
( spl3_6
| ~ spl3_122
| ~ spl3_128 ),
inference(avatar_split_clause,[],[f1198,f1189,f1072,f277]) ).
fof(f1198,plain,
( e2 = e3
| ~ spl3_122
| ~ spl3_128 ),
inference(forward_demodulation,[],[f1191,f1074]) ).
fof(f1200,plain,
( spl3_2
| ~ spl3_70
| ~ spl3_77
| ~ spl3_122
| ~ spl3_127
| ~ spl3_128 ),
inference(avatar_split_clause,[],[f1199,f1189,f1150,f1072,f627,f594,f257]) ).
fof(f1199,plain,
( e0 = e2
| ~ spl3_70
| ~ spl3_77
| ~ spl3_122
| ~ spl3_127
| ~ spl3_128 ),
inference(forward_demodulation,[],[f1198,f1187]) ).
fof(f1196,plain,
( spl3_91
| spl3_128
| spl3_95
| spl3_129 ),
inference(avatar_split_clause,[],[f138,f1193,f705,f1189,f687]) ).
fof(f138,plain,
( e3 = op(e3,e2)
| e3 = op(e2,e2)
| e3 = op(e1,e2)
| e3 = op(e0,e2) ),
inference(cnf_transformation,[],[f2]) ).
fof(f1169,plain,
( spl3_3
| ~ spl3_74
| ~ spl3_95 ),
inference(avatar_split_clause,[],[f1166,f705,f614,f262]) ).
fof(f1166,plain,
( e0 = e3
| ~ spl3_74
| ~ spl3_95 ),
inference(forward_demodulation,[],[f706,f615]) ).
fof(f1165,plain,
( spl3_6
| ~ spl3_69
| ~ spl3_95
| ~ spl3_122 ),
inference(avatar_split_clause,[],[f1163,f1072,f705,f589,f277]) ).
fof(f1163,plain,
( e2 = e3
| ~ spl3_69
| ~ spl3_95
| ~ spl3_122 ),
inference(forward_demodulation,[],[f706,f1079]) ).
fof(f1079,plain,
( e2 = op(e2,e2)
| ~ spl3_69
| ~ spl3_122 ),
inference(superposition,[],[f591,f1074]) ).
fof(f1159,plain,
( spl3_2
| ~ spl3_62
| ~ spl3_64
| ~ spl3_79
| ~ spl3_81
| ~ spl3_97
| ~ spl3_126 ),
inference(avatar_split_clause,[],[f1158,f1126,f713,f644,f635,f564,f554,f257]) ).
fof(f1158,plain,
( e0 = e2
| ~ spl3_62
| ~ spl3_64
| ~ spl3_79
| ~ spl3_81
| ~ spl3_97
| ~ spl3_126 ),
inference(forward_demodulation,[],[f1157,f1138]) ).
fof(f1157,plain,
( e1 = e2
| ~ spl3_62
| ~ spl3_79
| ~ spl3_81 ),
inference(forward_demodulation,[],[f636,f1088]) ).
fof(f1088,plain,
( e1 = op(e1,e0)
| ~ spl3_62
| ~ spl3_81 ),
inference(superposition,[],[f556,f645]) ).
fof(f1155,plain,
( spl3_6
| ~ spl3_111
| ~ spl3_120 ),
inference(avatar_split_clause,[],[f1043,f1035,f813,f277]) ).
fof(f1043,plain,
( e2 = e3
| ~ spl3_111
| ~ spl3_120 ),
inference(forward_demodulation,[],[f1037,f815]) ).
fof(f1153,plain,
( spl3_120
| spl3_115
| spl3_95
| spl3_127 ),
inference(avatar_split_clause,[],[f137,f1150,f705,f896,f1035]) ).
fof(f137,plain,
( e3 = op(e2,e3)
| e3 = op(e2,e2)
| e3 = op(e2,e1)
| e3 = op(e2,e0) ),
inference(cnf_transformation,[],[f2]) ).
fof(f1141,plain,
( spl3_74
| ~ spl3_64
| ~ spl3_80
| ~ spl3_97
| ~ spl3_126 ),
inference(avatar_split_clause,[],[f1140,f1126,f713,f640,f564,f614]) ).
fof(f1140,plain,
( e0 = op(e2,e2)
| ~ spl3_64
| ~ spl3_80
| ~ spl3_97
| ~ spl3_126 ),
inference(forward_demodulation,[],[f641,f1138]) ).
fof(f1139,plain,
( spl3_75
| spl3_124
| spl3_80
| spl3_96 ),
inference(avatar_split_clause,[],[f133,f709,f640,f1096,f618]) ).
fof(f133,plain,
( e1 = op(e2,e3)
| e1 = op(e2,e2)
| e1 = op(e2,e1)
| e1 = op(e2,e0) ),
inference(cnf_transformation,[],[f2]) ).
fof(f1129,plain,
( spl3_82
| spl3_86
| spl3_115
| spl3_126 ),
inference(avatar_split_clause,[],[f130,f1126,f896,f666,f648]) ).
fof(f130,plain,
( e3 = op(e3,e1)
| e3 = op(e2,e1)
| e3 = op(e1,e1)
| e3 = op(e0,e1) ),
inference(cnf_transformation,[],[f2]) ).
fof(f1118,plain,
( spl3_97
| spl3_2
| spl3_1
| spl3_3
| ~ spl3_76
| ~ spl3_122
| ~ spl3_123 ),
inference(avatar_split_clause,[],[f1110,f1092,f1072,f622,f262,f252,f257,f713]) ).
fof(f1110,plain,
( e0 = e3
| e0 = e1
| e0 = e2
| e0 = op(e1,e3)
| ~ spl3_76
| ~ spl3_122
| ~ spl3_123 ),
inference(forward_demodulation,[],[f1109,f623]) ).
fof(f1109,plain,
( e0 = e1
| e0 = e2
| e0 = op(e1,e3)
| e0 = op(e1,e0)
| ~ spl3_122
| ~ spl3_123 ),
inference(forward_demodulation,[],[f1108,f1094]) ).
fof(f1108,plain,
( e0 = e2
| e0 = op(e1,e3)
| e0 = op(e1,e1)
| e0 = op(e1,e0)
| ~ spl3_122 ),
inference(forward_demodulation,[],[f123,f1074]) ).
fof(f1106,plain,
( spl3_1
| ~ spl3_109
| ~ spl3_123 ),
inference(avatar_split_clause,[],[f1105,f1092,f799,f252]) ).
fof(f1105,plain,
( e0 = e1
| ~ spl3_109
| ~ spl3_123 ),
inference(forward_demodulation,[],[f1094,f801]) ).
fof(f1103,plain,
( spl3_103
| spl3_123
| spl3_124
| spl3_125 ),
inference(avatar_split_clause,[],[f126,f1100,f1096,f1092,f740]) ).
fof(f126,plain,
( e1 = op(e3,e1)
| e1 = op(e2,e1)
| e1 = op(e1,e1)
| e1 = op(e0,e1) ),
inference(cnf_transformation,[],[f2]) ).
fof(f1084,plain,
( spl3_81
| spl3_74
| spl3_88
| spl3_2
| ~ spl3_111 ),
inference(avatar_split_clause,[],[f1062,f813,f257,f674,f614,f644]) ).
fof(f1075,plain,
( spl3_122
| spl3_87
| spl3_2
| spl3_6
| ~ spl3_76
| ~ spl3_109 ),
inference(avatar_split_clause,[],[f1061,f799,f622,f277,f257,f670,f1072]) ).
fof(f1061,plain,
( e2 = e3
| e0 = e2
| e2 = op(e1,e3)
| e2 = op(e1,e2)
| ~ spl3_76
| ~ spl3_109 ),
inference(forward_demodulation,[],[f1060,f623]) ).
fof(f1059,plain,
( spl3_2
| ~ spl3_111
| ~ spl3_116 ),
inference(avatar_split_clause,[],[f1011,f902,f813,f257]) ).
fof(f1011,plain,
( e0 = e2
| ~ spl3_111
| ~ spl3_116 ),
inference(superposition,[],[f904,f815]) ).
fof(f1048,plain,
( spl3_3
| ~ spl3_76
| ~ spl3_118 ),
inference(avatar_split_clause,[],[f1047,f950,f622,f262]) ).
fof(f1047,plain,
( e0 = e3
| ~ spl3_76
| ~ spl3_118 ),
inference(forward_demodulation,[],[f623,f952]) ).
fof(f1045,plain,
( spl3_3
| ~ spl3_111
| ~ spl3_116
| ~ spl3_120 ),
inference(avatar_split_clause,[],[f1044,f1035,f902,f813,f262]) ).
fof(f1044,plain,
( e0 = e3
| ~ spl3_111
| ~ spl3_116
| ~ spl3_120 ),
inference(forward_demodulation,[],[f1043,f1011]) ).
fof(f1042,plain,
( spl3_113
| spl3_76
| spl3_120
| spl3_121 ),
inference(avatar_split_clause,[],[f122,f1039,f1035,f622,f835]) ).
fof(f122,plain,
( e3 = op(e3,e0)
| e3 = op(e2,e0)
| e3 = op(e1,e0)
| op(e0,e0) = e3 ),
inference(cnf_transformation,[],[f2]) ).
fof(f1024,plain,
( spl3_97
| spl3_88
| spl3_77
| spl3_3
| ~ spl3_114 ),
inference(avatar_split_clause,[],[f947,f839,f262,f627,f674,f713]) ).
fof(f947,plain,
( e0 = e3
| e0 = op(e3,e3)
| e0 = op(e2,e3)
| e0 = op(e1,e3)
| ~ spl3_114 ),
inference(forward_demodulation,[],[f140,f841]) ).
fof(f1022,plain,
( ~ spl3_119
| spl3_63
| ~ spl3_85 ),
inference(avatar_split_clause,[],[f995,f661,f559,f1019]) ).
fof(f995,plain,
( e1 != op(e1,e2)
| spl3_63
| ~ spl3_85 ),
inference(forward_demodulation,[],[f560,f662]) ).
fof(f997,plain,
( spl3_1
| ~ spl3_64
| ~ spl3_84
| ~ spl3_118 ),
inference(avatar_split_clause,[],[f965,f950,f657,f564,f252]) ).
fof(f965,plain,
( e0 = e1
| ~ spl3_64
| ~ spl3_84
| ~ spl3_118 ),
inference(forward_demodulation,[],[f960,f952]) ).
fof(f970,plain,
( spl3_2
| ~ spl3_79
| ~ spl3_118 ),
inference(avatar_split_clause,[],[f969,f950,f635,f257]) ).
fof(f969,plain,
( e0 = e2
| ~ spl3_79
| ~ spl3_118 ),
inference(forward_demodulation,[],[f636,f952]) ).
fof(f966,plain,
( spl3_79
| spl3_89
| spl3_87
| spl3_4
| ~ spl3_63
| ~ spl3_85 ),
inference(avatar_split_clause,[],[f943,f661,f559,f267,f670,f679,f635]) ).
fof(f943,plain,
( e1 = e2
| e2 = op(e1,e3)
| e2 = op(e1,e1)
| e2 = op(e1,e0)
| ~ spl3_63
| ~ spl3_85 ),
inference(forward_demodulation,[],[f127,f795]) ).
fof(f959,plain,
( spl3_109
| spl3_81
| spl3_84
| spl3_2
| ~ spl3_85 ),
inference(avatar_split_clause,[],[f853,f661,f257,f657,f644,f799]) ).
fof(f853,plain,
( e0 = e2
| e0 = op(e3,e1)
| e0 = op(e2,e1)
| e0 = op(e1,e1)
| ~ spl3_85 ),
inference(forward_demodulation,[],[f124,f662]) ).
fof(f953,plain,
( spl3_118
| spl3_117
| spl3_2
| spl3_1
| ~ spl3_102
| ~ spl3_111 ),
inference(avatar_split_clause,[],[f945,f813,f736,f252,f257,f906,f950]) ).
fof(f945,plain,
( e0 = e1
| e0 = e2
| e0 = op(e3,e0)
| e0 = op(e1,e0)
| ~ spl3_102
| ~ spl3_111 ),
inference(forward_demodulation,[],[f944,f738]) ).
fof(f942,plain,
( spl3_3
| ~ spl3_101
| ~ spl3_114 ),
inference(avatar_split_clause,[],[f883,f839,f730,f262]) ).
fof(f883,plain,
( e0 = e3
| ~ spl3_101
| ~ spl3_114 ),
inference(superposition,[],[f841,f732]) ).
fof(f932,plain,
( spl3_4
| ~ spl3_101
| ~ spl3_102
| ~ spl3_112
| ~ spl3_114 ),
inference(avatar_split_clause,[],[f930,f839,f817,f736,f730,f267]) ).
fof(f930,plain,
( e1 = e2
| ~ spl3_101
| ~ spl3_102
| ~ spl3_112
| ~ spl3_114 ),
inference(forward_demodulation,[],[f929,f738]) ).
fof(f929,plain,
( op(e0,e0) = e2
| ~ spl3_101
| ~ spl3_112
| ~ spl3_114 ),
inference(forward_demodulation,[],[f819,f883]) ).
fof(f928,plain,
( spl3_4
| ~ spl3_102
| ~ spl3_106 ),
inference(avatar_split_clause,[],[f926,f766,f736,f267]) ).
fof(f926,plain,
( e1 = e2
| ~ spl3_102
| ~ spl3_106 ),
inference(forward_demodulation,[],[f768,f738]) ).
fof(f911,plain,
( spl3_98
| ~ spl3_101
| ~ spl3_114
| ~ spl3_117 ),
inference(avatar_split_clause,[],[f910,f906,f839,f730,f718]) ).
fof(f910,plain,
( e0 = op(e0,e0)
| ~ spl3_101
| ~ spl3_114
| ~ spl3_117 ),
inference(forward_demodulation,[],[f908,f883]) ).
fof(f909,plain,
( spl3_116
| spl3_117
| spl3_2
| spl3_1
| ~ spl3_79
| ~ spl3_102 ),
inference(avatar_split_clause,[],[f873,f736,f635,f252,f257,f906,f902]) ).
fof(f873,plain,
( e0 = e1
| e0 = e2
| e0 = op(e3,e0)
| e0 = op(e2,e0)
| ~ spl3_79
| ~ spl3_102 ),
inference(forward_demodulation,[],[f872,f738]) ).
fof(f872,plain,
( e0 = e2
| e0 = op(e3,e0)
| e0 = op(e2,e0)
| e0 = op(e0,e0)
| ~ spl3_79 ),
inference(forward_demodulation,[],[f116,f636]) ).
fof(f899,plain,
( ~ spl3_115
| ~ spl3_85
| ~ spl3_102 ),
inference(avatar_split_clause,[],[f868,f736,f661,f896]) ).
fof(f868,plain,
( e3 != op(e2,e1)
| ~ spl3_85
| ~ spl3_102 ),
inference(trivial_inequality_removal,[],[f867]) ).
fof(f867,plain,
( e1 != e1
| e3 != op(e2,e1)
| ~ spl3_85
| ~ spl3_102 ),
inference(forward_demodulation,[],[f804,f738]) ).
fof(f804,plain,
( e3 != op(e2,e1)
| op(e0,e0) != e1
| ~ spl3_85 ),
inference(trivial_inequality_removal,[],[f803]) ).
fof(f803,plain,
( e2 != e2
| e3 != op(e2,e1)
| op(e0,e0) != e1
| ~ spl3_85 ),
inference(forward_demodulation,[],[f250,f662]) ).
fof(f250,plain,
( e3 != op(e2,e1)
| e2 != op(e0,e1)
| op(e0,e0) != e1 ),
inference(inner_rewriting,[],[f249]) ).
fof(f249,plain,
( e3 != op(e2,op(e0,e0))
| e2 != op(e0,op(e0,e0))
| op(e0,e0) != e1 ),
inference(inner_rewriting,[],[f202]) ).
fof(f202,plain,
( e3 != op(op(e0,op(e0,e0)),op(e0,e0))
| e2 != op(e0,op(e0,e0))
| op(e0,e0) != e1 ),
inference(cnf_transformation,[],[f53]) ).
fof(f53,plain,
( e3 != op(op(e0,op(e0,e0)),op(e0,e0))
| e2 != op(e0,op(e0,e0))
| op(e0,e0) != e1 ),
inference(ennf_transformation,[],[f14]) ).
fof(f14,axiom,
~ ( e3 = op(op(e0,op(e0,e0)),op(e0,e0))
& e2 = op(e0,op(e0,e0))
& op(e0,e0) = e1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax14) ).
fof(f864,plain,
( spl3_1
| ~ spl3_98
| ~ spl3_102 ),
inference(avatar_split_clause,[],[f856,f736,f718,f252]) ).
fof(f856,plain,
( e0 = e1
| ~ spl3_98
| ~ spl3_102 ),
inference(forward_demodulation,[],[f738,f720]) ).
fof(f861,plain,
( spl3_6
| ~ spl3_82
| ~ spl3_85 ),
inference(avatar_split_clause,[],[f845,f661,f648,f277]) ).
fof(f845,plain,
( e2 = e3
| ~ spl3_82
| ~ spl3_85 ),
inference(forward_demodulation,[],[f649,f662]) ).
fof(f852,plain,
( spl3_5
| ~ spl3_91
| ~ spl3_94 ),
inference(avatar_split_clause,[],[f850,f700,f687,f272]) ).
fof(f850,plain,
( e1 = e3
| ~ spl3_91
| ~ spl3_94 ),
inference(forward_demodulation,[],[f688,f701]) ).
fof(f847,plain,
( spl3_3
| ~ spl3_82
| ~ spl3_85
| ~ spl3_99 ),
inference(avatar_split_clause,[],[f846,f722,f661,f648,f262]) ).
fof(f846,plain,
( e0 = e3
| ~ spl3_82
| ~ spl3_85
| ~ spl3_99 ),
inference(forward_demodulation,[],[f845,f828]) ).
fof(f842,plain,
( spl3_113
| spl3_82
| spl3_91
| spl3_114 ),
inference(avatar_split_clause,[],[f121,f839,f687,f648,f835]) ).
fof(f121,plain,
( e3 = op(e0,e3)
| e3 = op(e0,e2)
| e3 = op(e0,e1)
| op(e0,e0) = e3 ),
inference(cnf_transformation,[],[f2]) ).
fof(f827,plain,
( spl3_99
| ~ spl3_61
| ~ spl3_78 ),
inference(avatar_split_clause,[],[f787,f631,f549,f722]) ).
fof(f787,plain,
( e0 = op(e0,e1)
| ~ spl3_61
| ~ spl3_78 ),
inference(superposition,[],[f551,f632]) ).
fof(f820,plain,
( spl3_106
| spl3_79
| spl3_111
| spl3_112 ),
inference(avatar_split_clause,[],[f120,f817,f813,f635,f766]) ).
fof(f120,plain,
( e2 = op(e3,e0)
| e2 = op(e2,e0)
| e2 = op(e1,e0)
| op(e0,e0) = e2 ),
inference(cnf_transformation,[],[f2]) ).
fof(f811,plain,
( ~ spl3_110
| spl3_67
| ~ spl3_94 ),
inference(avatar_split_clause,[],[f806,f700,f579,f808]) ).
fof(f806,plain,
( e2 != op(e2,e1)
| spl3_67
| ~ spl3_94 ),
inference(forward_demodulation,[],[f580,f701]) ).
fof(f802,plain,
( spl3_109
| spl3_84
| spl3_2
| ~ spl3_67
| ~ spl3_85
| ~ spl3_94 ),
inference(avatar_split_clause,[],[f785,f700,f661,f579,f257,f657,f799]) ).
fof(f785,plain,
( e0 = e2
| e0 = op(e3,e1)
| e0 = op(e1,e1)
| ~ spl3_67
| ~ spl3_85
| ~ spl3_94 ),
inference(duplicate_literal_removal,[],[f784]) ).
fof(f784,plain,
( e0 = e2
| e0 = e2
| e0 = op(e3,e1)
| e0 = op(e1,e1)
| ~ spl3_67
| ~ spl3_85
| ~ spl3_94 ),
inference(forward_demodulation,[],[f783,f662]) ).
fof(f783,plain,
( e0 = e2
| e0 = op(e3,e1)
| e0 = op(e1,e1)
| e0 = op(e0,e1)
| ~ spl3_67
| ~ spl3_94 ),
inference(forward_demodulation,[],[f124,f752]) ).
fof(f782,plain,
( spl3_2
| ~ spl3_56
| ~ spl3_75
| ~ spl3_85 ),
inference(avatar_split_clause,[],[f781,f661,f618,f526,f257]) ).
fof(f781,plain,
( e0 = e2
| ~ spl3_56
| ~ spl3_75
| ~ spl3_85 ),
inference(forward_demodulation,[],[f662,f761]) ).
fof(f761,plain,
( e0 = op(e0,e1)
| ~ spl3_56
| ~ spl3_75 ),
inference(superposition,[],[f528,f619]) ).
fof(f777,plain,
( spl3_106
| spl3_85
| spl3_107
| spl3_108 ),
inference(avatar_split_clause,[],[f119,f774,f770,f661,f766]) ).
fof(f119,plain,
( e2 = op(e0,e3)
| e2 = op(e0,e2)
| e2 = op(e0,e1)
| op(e0,e0) = e2 ),
inference(cnf_transformation,[],[f2]) ).
fof(f760,plain,
( spl3_102
| spl3_105
| spl3_75
| spl3_78 ),
inference(avatar_split_clause,[],[f118,f631,f618,f757,f736]) ).
fof(f118,plain,
( e1 = op(e3,e0)
| e1 = op(e2,e0)
| e1 = op(e1,e0)
| op(e0,e0) = e1 ),
inference(cnf_transformation,[],[f2]) ).
fof(f747,plain,
( spl3_102
| spl3_103
| spl3_94
| spl3_104 ),
inference(avatar_split_clause,[],[f117,f744,f700,f740,f736]) ).
fof(f117,plain,
( e1 = op(e0,e3)
| e1 = op(e0,e2)
| e1 = op(e0,e1)
| op(e0,e0) = e1 ),
inference(cnf_transformation,[],[f2]) ).
fof(f733,plain,
( spl3_98
| spl3_99
| spl3_100
| spl3_101 ),
inference(avatar_split_clause,[],[f115,f730,f726,f722,f718]) ).
fof(f115,plain,
( e0 = op(e0,e3)
| e0 = op(e0,e2)
| e0 = op(e0,e1)
| e0 = op(e0,e0) ),
inference(cnf_transformation,[],[f2]) ).
fof(f716,plain,
( ~ spl3_95
| ~ spl3_96
| ~ spl3_97 ),
inference(avatar_split_clause,[],[f236,f713,f709,f705]) ).
fof(f236,plain,
( e0 != op(e1,e3)
| e1 != op(e2,e3)
| e3 != op(e2,e2) ),
inference(inner_rewriting,[],[f235]) ).
fof(f235,plain,
( e0 != op(e1,op(e2,e2))
| e1 != op(e2,op(e2,e2))
| e3 != op(e2,e2) ),
inference(inner_rewriting,[],[f195]) ).
fof(f195,plain,
( e0 != op(op(e2,op(e2,e2)),op(e2,e2))
| e1 != op(e2,op(e2,e2))
| e3 != op(e2,e2) ),
inference(cnf_transformation,[],[f46]) ).
fof(f46,plain,
( e0 != op(op(e2,op(e2,e2)),op(e2,e2))
| e1 != op(e2,op(e2,e2))
| e3 != op(e2,e2) ),
inference(ennf_transformation,[],[f27]) ).
fof(f27,axiom,
~ ( e0 = op(op(e2,op(e2,e2)),op(e2,e2))
& e1 = op(e2,op(e2,e2))
& e3 = op(e2,e2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax27) ).
fof(f703,plain,
( ~ spl3_92
| ~ spl3_93
| ~ spl3_94 ),
inference(avatar_split_clause,[],[f230,f700,f696,f692]) ).
fof(f230,plain,
( e1 != op(e0,e2)
| e0 != op(e3,e2)
| e2 != op(e3,e3) ),
inference(inner_rewriting,[],[f229]) ).
fof(f229,plain,
( e1 != op(e0,op(e3,e3))
| e0 != op(e3,op(e3,e3))
| e2 != op(e3,e3) ),
inference(inner_rewriting,[],[f192]) ).
fof(f192,plain,
( e1 != op(op(e3,op(e3,e3)),op(e3,e3))
| e0 != op(e3,op(e3,e3))
| e2 != op(e3,e3) ),
inference(cnf_transformation,[],[f43]) ).
fof(f43,plain,
( e1 != op(op(e3,op(e3,e3)),op(e3,e3))
| e0 != op(e3,op(e3,e3))
| e2 != op(e3,e3) ),
inference(ennf_transformation,[],[f19]) ).
fof(f19,axiom,
~ ( e1 = op(op(e3,op(e3,e3)),op(e3,e3))
& e0 = op(e3,op(e3,e3))
& e2 = op(e3,e3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax19) ).
fof(f690,plain,
( ~ spl3_89
| ~ spl3_90
| ~ spl3_91 ),
inference(avatar_split_clause,[],[f228,f687,f683,f679]) ).
fof(f228,plain,
( e3 != op(e0,e2)
| e0 != op(e1,e2)
| e2 != op(e1,e1) ),
inference(inner_rewriting,[],[f227]) ).
fof(f227,plain,
( e3 != op(e0,op(e1,e1))
| e0 != op(e1,op(e1,e1))
| e2 != op(e1,e1) ),
inference(inner_rewriting,[],[f191]) ).
fof(f191,plain,
( e3 != op(op(e1,op(e1,e1)),op(e1,e1))
| e0 != op(e1,op(e1,e1))
| e2 != op(e1,e1) ),
inference(cnf_transformation,[],[f42]) ).
fof(f42,plain,
( e3 != op(op(e1,op(e1,e1)),op(e1,e1))
| e0 != op(e1,op(e1,e1))
| e2 != op(e1,e1) ),
inference(ennf_transformation,[],[f18]) ).
fof(f18,axiom,
~ ( e3 = op(op(e1,op(e1,e1)),op(e1,e1))
& e0 = op(e1,op(e1,e1))
& e2 = op(e1,e1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax18) ).
fof(f677,plain,
( ~ spl3_86
| ~ spl3_87
| ~ spl3_88 ),
inference(avatar_split_clause,[],[f220,f674,f670,f666]) ).
fof(f220,plain,
( e0 != op(e2,e3)
| e2 != op(e1,e3)
| e3 != op(e1,e1) ),
inference(inner_rewriting,[],[f219]) ).
fof(f219,plain,
( e0 != op(e2,op(e1,e1))
| e2 != op(e1,op(e1,e1))
| e3 != op(e1,e1) ),
inference(inner_rewriting,[],[f187]) ).
fof(f187,plain,
( e0 != op(op(e1,op(e1,e1)),op(e1,e1))
| e2 != op(e1,op(e1,e1))
| e3 != op(e1,e1) ),
inference(cnf_transformation,[],[f38]) ).
fof(f38,plain,
( e0 != op(op(e1,op(e1,e1)),op(e1,e1))
| e2 != op(e1,op(e1,e1))
| e3 != op(e1,e1) ),
inference(ennf_transformation,[],[f29]) ).
fof(f29,axiom,
~ ( e0 = op(op(e1,op(e1,e1)),op(e1,e1))
& e2 = op(e1,op(e1,e1))
& e3 = op(e1,e1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax29) ).
fof(f664,plain,
( ~ spl3_83
| ~ spl3_84
| ~ spl3_85 ),
inference(avatar_split_clause,[],[f218,f661,f657,f653]) ).
fof(f218,plain,
( e2 != op(e0,e1)
| e0 != op(e3,e1)
| e1 != op(e3,e3) ),
inference(inner_rewriting,[],[f217]) ).
fof(f217,plain,
( e2 != op(e0,op(e3,e3))
| e0 != op(e3,op(e3,e3))
| e1 != op(e3,e3) ),
inference(inner_rewriting,[],[f186]) ).
fof(f186,plain,
( e2 != op(op(e3,op(e3,e3)),op(e3,e3))
| e0 != op(e3,op(e3,e3))
| e1 != op(e3,e3) ),
inference(cnf_transformation,[],[f37]) ).
fof(f37,plain,
( e2 != op(op(e3,op(e3,e3)),op(e3,e3))
| e0 != op(e3,op(e3,e3))
| e1 != op(e3,e3) ),
inference(ennf_transformation,[],[f13]) ).
fof(f13,axiom,
~ ( e2 = op(op(e3,op(e3,e3)),op(e3,e3))
& e0 = op(e3,op(e3,e3))
& e1 = op(e3,e3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax13) ).
fof(f651,plain,
( ~ spl3_80
| ~ spl3_81
| ~ spl3_82 ),
inference(avatar_split_clause,[],[f216,f648,f644,f640]) ).
fof(f216,plain,
( e3 != op(e0,e1)
| e0 != op(e2,e1)
| e1 != op(e2,e2) ),
inference(inner_rewriting,[],[f215]) ).
fof(f215,plain,
( e3 != op(e0,op(e2,e2))
| e0 != op(e2,op(e2,e2))
| e1 != op(e2,e2) ),
inference(inner_rewriting,[],[f185]) ).
fof(f185,plain,
( e3 != op(op(e2,op(e2,e2)),op(e2,e2))
| e0 != op(e2,op(e2,e2))
| e1 != op(e2,e2) ),
inference(cnf_transformation,[],[f36]) ).
fof(f36,plain,
( e3 != op(op(e2,op(e2,e2)),op(e2,e2))
| e0 != op(e2,op(e2,e2))
| e1 != op(e2,e2) ),
inference(ennf_transformation,[],[f12]) ).
fof(f12,axiom,
~ ( e3 = op(op(e2,op(e2,e2)),op(e2,e2))
& e0 = op(e2,op(e2,e2))
& e1 = op(e2,e2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax12) ).
fof(f638,plain,
( ~ spl3_77
| ~ spl3_78
| ~ spl3_79 ),
inference(avatar_split_clause,[],[f206,f635,f631,f627]) ).
fof(f206,plain,
( e2 != op(e1,e0)
| e1 != op(e3,e0)
| e0 != op(e3,e3) ),
inference(inner_rewriting,[],[f205]) ).
fof(f205,plain,
( e2 != op(e1,op(e3,e3))
| e1 != op(e3,op(e3,e3))
| e0 != op(e3,e3) ),
inference(inner_rewriting,[],[f180]) ).
fof(f180,plain,
( e2 != op(op(e3,op(e3,e3)),op(e3,e3))
| e1 != op(e3,op(e3,e3))
| e0 != op(e3,e3) ),
inference(cnf_transformation,[],[f31]) ).
fof(f31,plain,
( e2 != op(op(e3,op(e3,e3)),op(e3,e3))
| e1 != op(e3,op(e3,e3))
| e0 != op(e3,e3) ),
inference(ennf_transformation,[],[f7]) ).
fof(f7,axiom,
~ ( e2 = op(op(e3,op(e3,e3)),op(e3,e3))
& e1 = op(e3,op(e3,e3))
& e0 = op(e3,e3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax7) ).
fof(f625,plain,
( ~ spl3_74
| ~ spl3_75
| ~ spl3_76 ),
inference(avatar_split_clause,[],[f204,f622,f618,f614]) ).
fof(f204,plain,
( e3 != op(e1,e0)
| e1 != op(e2,e0)
| e0 != op(e2,e2) ),
inference(inner_rewriting,[],[f203]) ).
fof(f203,plain,
( e3 != op(e1,op(e2,e2))
| e1 != op(e2,op(e2,e2))
| e0 != op(e2,e2) ),
inference(inner_rewriting,[],[f179]) ).
fof(f179,plain,
( e3 != op(op(e2,op(e2,e2)),op(e2,e2))
| e1 != op(e2,op(e2,e2))
| e0 != op(e2,e2) ),
inference(cnf_transformation,[],[f30]) ).
fof(f30,plain,
( e3 != op(op(e2,op(e2,e2)),op(e2,e2))
| e1 != op(e2,op(e2,e2))
| e0 != op(e2,e2) ),
inference(ennf_transformation,[],[f6]) ).
fof(f6,axiom,
~ ( e3 = op(op(e2,op(e2,e2)),op(e2,e2))
& e1 = op(e2,op(e2,e2))
& e0 = op(e2,e2) ),
file('/export/starexec/sandbox/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(e3,op(e1,e3))
| ~ sP1 ),
inference(cnf_transformation,[],[f59]) ).
fof(f59,plain,
( ( e3 = op(e3,op(e1,e3))
& e2 = op(e2,op(e1,e2))
& e1 = op(e1,op(e1,e1))
& e0 = op(e0,op(e1,e0)) )
| ~ sP1 ),
inference(nnf_transformation,[],[f55]) ).
fof(f55,plain,
( ( e3 = op(e3,op(e1,e3))
& e2 = op(e2,op(e1,e2))
& e1 = op(e1,op(e1,e1))
& e0 = op(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(e3,op(e3,e3))
| sP2
| sP1
| sP0 ),
inference(cnf_transformation,[],[f57]) ).
fof(f57,plain,
( ( e3 = op(e3,op(e3,e3))
& e2 = op(e2,op(e3,e2))
& e1 = op(e1,op(e3,e1))
& e0 = op(e0,op(e3,e0)) )
| sP2
| sP1
| sP0 ),
inference(definition_folding,[],[f5,f56,f55,f54]) ).
fof(f54,plain,
( ( e3 = op(e3,op(e0,e3))
& e2 = op(e2,op(e0,e2))
& e1 = op(e1,op(e0,e1))
& e0 = op(e0,op(e0,e0)) )
| ~ sP0 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
fof(f56,plain,
( ( e3 = op(e3,op(e2,e3))
& e2 = op(e2,op(e2,e2))
& e1 = op(e1,op(e2,e1))
& e0 = op(e0,op(e2,e0)) )
| ~ sP2 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP2])]) ).
fof(f5,axiom,
( ( e3 = op(e3,op(e3,e3))
& e2 = op(e2,op(e3,e2))
& e1 = op(e1,op(e3,e1))
& e0 = op(e0,op(e3,e0)) )
| ( e3 = op(e3,op(e2,e3))
& e2 = op(e2,op(e2,e2))
& e1 = op(e1,op(e2,e1))
& e0 = op(e0,op(e2,e0)) )
| ( e3 = op(e3,op(e1,e3))
& e2 = op(e2,op(e1,e2))
& e1 = op(e1,op(e1,e1))
& e0 = op(e0,op(e1,e0)) )
| ( e3 = op(e3,op(e0,e3))
& e2 = op(e2,op(e0,e2))
& e1 = op(e1,op(e0,e1))
& e0 = op(e0,op(e0,e0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax5) ).
fof(f602,plain,
( ~ spl3_59
| spl3_71 ),
inference(avatar_split_clause,[],[f174,f599,f540]) ).
fof(f174,plain,
( e3 = op(e3,op(e0,e3))
| ~ sP0 ),
inference(cnf_transformation,[],[f60]) ).
fof(f60,plain,
( ( e3 = op(e3,op(e0,e3))
& e2 = op(e2,op(e0,e2))
& e1 = op(e1,op(e0,e1))
& e0 = op(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(e3,op(e2,e3))
| ~ sP2 ),
inference(cnf_transformation,[],[f58]) ).
fof(f58,plain,
( ( e3 = op(e3,op(e2,e3))
& e2 = op(e2,op(e2,e2))
& e1 = op(e1,op(e2,e1))
& e0 = op(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(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(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(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(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(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(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(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(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(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(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(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(e0,op(e2,e0))
| ~ sP2 ),
inference(cnf_transformation,[],[f58]) ).
fof(f520,plain,
~ spl3_54,
inference(avatar_split_clause,[],[f114,f517]) ).
fof(f517,plain,
( spl3_54
<=> op(e3,e2) = op(e3,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_54])]) ).
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/sandbox/benchmark/theBenchmark.p',ax3) ).
fof(f515,plain,
~ spl3_53,
inference(avatar_split_clause,[],[f113,f512]) ).
fof(f512,plain,
( spl3_53
<=> op(e3,e1) = op(e3,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_53])]) ).
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(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(f109,plain,
op(e3,e0) != op(e3,e1),
inference(cnf_transformation,[],[f3]) ).
fof(f490,plain,
~ spl3_48,
inference(avatar_split_clause,[],[f108,f487]) ).
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(f467,plain,
( spl3_44
<=> op(e2,e0) = op(e2,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_44])]) ).
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(f437,plain,
( spl3_38
<=> op(e1,e0) = op(e1,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_38])]) ).
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(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(f417,plain,
( spl3_34
<=> op(e0,e1) = op(e0,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_34])]) ).
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(f93,plain,
op(e0,e0) != op(e0,e3),
inference(cnf_transformation,[],[f3]) ).
fof(f410,plain,
~ spl3_32,
inference(avatar_split_clause,[],[f92,f407]) ).
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(f88,plain,
op(e1,e3) != op(e2,e3),
inference(cnf_transformation,[],[f3]) ).
fof(f385,plain,
~ spl3_27,
inference(avatar_split_clause,[],[f87,f382]) ).
fof(f382,plain,
( spl3_27
<=> op(e0,e3) = op(e3,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_27])]) ).
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(f377,plain,
( spl3_26
<=> op(e0,e3) = op(e2,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_26])]) ).
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(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(f342,plain,
( spl3_19
<=> op(e0,e2) = op(e1,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_19])]) ).
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(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(f312,plain,
( spl3_13
<=> op(e0,e1) = op(e1,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_13])]) ).
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(f71,plain,
op(e1,e0) != op(e3,e0),
inference(cnf_transformation,[],[f3]) ).
fof(f300,plain,
~ spl3_10,
inference(avatar_split_clause,[],[f70,f297]) ).
fof(f297,plain,
( spl3_10
<=> op(e1,e0) = op(e2,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_10])]) ).
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(f69,plain,
op(e0,e0) != op(e3,e0),
inference(cnf_transformation,[],[f3]) ).
fof(f290,plain,
~ spl3_8,
inference(avatar_split_clause,[],[f68,f287]) ).
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(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/sandbox/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
% 0.07/0.12 % Problem : ALG132+1 : TPTP v8.2.0. Released v2.7.0.
% 0.07/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.35 % Computer : n013.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 : Sat May 18 23:44:08 EDT 2024
% 0.15/0.36 % CPUTime :
% 0.15/0.36 % (32256)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.38 % (32259)WARNING: value z3 for option sas not known
% 0.15/0.38 % (32258)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.15/0.38 % (32262)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)
% 0.15/0.38 % (32260)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.15/0.38 % (32257)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.15/0.38 % (32261)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)
% 0.15/0.38 % (32259)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 % (32263)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)
% 0.15/0.39 Detected minimum model sizes of [4]
% 0.15/0.39 Detected maximum model sizes of [max]
% 0.15/0.39 TRYING [4]
% 0.21/0.41 TRYING [5]
% 0.21/0.43 Detected minimum model sizes of [4]
% 0.21/0.43 Detected maximum model sizes of [max]
% 0.21/0.43 TRYING [4]
% 0.21/0.43 TRYING [6]
% 0.21/0.46 TRYING [7]
% 0.21/0.48 TRYING [5]
% 0.21/0.50 TRYING [8]
% 0.21/0.52 TRYING [6]
% 0.21/0.53 TRYING [9]
% 0.21/0.56 TRYING [7]
% 0.21/0.56 TRYING [10]
% 1.75/0.62 TRYING [11]
% 1.75/0.62 TRYING [8]
% 1.94/0.68 TRYING [12]
% 1.94/0.70 TRYING [9]
% 2.63/0.76 TRYING [13]
% 2.63/0.79 TRYING [10]
% 3.61/0.87 TRYING [14]
% 3.83/0.91 TRYING [11]
% 4.03/0.95 % (32261)First to succeed.
% 4.03/0.97 % (32261)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-32256"
% 4.03/0.97 % (32261)Refutation found. Thanks to Tanya!
% 4.03/0.97 % SZS status Unsatisfiable for theBenchmark
% 4.03/0.97 % SZS output start Proof for theBenchmark
% See solution above
% 4.03/0.99 % (32261)------------------------------
% 4.03/0.99 % (32261)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 4.03/0.99 % (32261)Termination reason: Refutation
% 4.03/0.99
% 4.03/0.99 % (32261)Memory used [KB]: 4706
% 4.03/0.99 % (32261)Time elapsed: 0.591 s
% 4.03/0.99 % (32261)Instructions burned: 2144 (million)
% 4.03/0.99 % (32256)Success in time 0.613 s
%------------------------------------------------------------------------------