TSTP Solution File: ALG149+1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : ALG149+1 : TPTP v8.1.2. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n003.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Sun May 5 04:26:01 EDT 2024
% Result : Unsatisfiable 5.97s 1.21s
% Output : Refutation 5.97s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 155
% Syntax : Number of formulae : 2268 ( 117 unt; 0 def)
% Number of atoms : 10789 (5108 equ)
% Maximal formula atoms : 132 ( 4 avg)
% Number of connectives : 13726 (5205 ~;8065 |; 334 &)
% ( 122 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 49 ( 6 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 128 ( 126 usr; 127 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-2 aty)
% Number of variables : 0 ( 0 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f18052,plain,
$false,
inference(avatar_sat_refutation,[],[f310,f315,f320,f325,f330,f335,f352,f357,f362,f367,f372,f377,f382,f387,f392,f397,f402,f407,f412,f417,f422,f427,f432,f437,f442,f447,f452,f457,f462,f467,f472,f477,f482,f487,f492,f497,f502,f507,f512,f517,f522,f527,f532,f537,f542,f547,f552,f557,f562,f567,f572,f577,f582,f587,f592,f597,f602,f607,f612,f621,f630,f639,f648,f657,f666,f675,f684,f693,f702,f711,f720,f729,f745,f752,f769,f772,f778,f784,f789,f811,f820,f829,f838,f839,f863,f867,f870,f886,f887,f895,f909,f916,f929,f932,f938,f944,f950,f962,f970,f982,f996,f1001,f1010,f1025,f1038,f1047,f1061,f1067,f1076,f1082,f1085,f1088,f1098,f1105,f1109,f1116,f1118,f1128,f1137,f1162,f1179,f1193,f1197,f1228,f1236,f1248,f1256,f1277,f1291,f1298,f1307,f1311,f1325,f1361,f1384,f1396,f1407,f1412,f1419,f1447,f1466,f1468,f1503,f1508,f1522,f1535,f1542,f1544,f1569,f1579,f1583,f1585,f1590,f1595,f1599,f1639,f1641,f1646,f1666,f1684,f1708,f1739,f1753,f1761,f1780,f1806,f1814,f1823,f1857,f1917,f1930,f1936,f1945,f1947,f1972,f1993,f2014,f2039,f2052,f2110,f2137,f2154,f2187,f2253,f2280,f2313,f2355,f2399,f2459,f2534,f2550,f2607,f2621,f2631,f2657,f2685,f2700,f2716,f2718,f2737,f2739,f2743,f2773,f2802,f2818,f2844,f2845,f2847,f2904,f2934,f2966,f2973,f2991,f3025,f3037,f3062,f3112,f3122,f3124,f3142,f3161,f3174,f3178,f3197,f3238,f3248,f3253,f3268,f3323,f3342,f3397,f3478,f3531,f3580,f3593,f3621,f3636,f3644,f3652,f3656,f3669,f3674,f3734,f3743,f3760,f3762,f3778,f3802,f3815,f3824,f3843,f3915,f3925,f3927,f3937,f3964,f3971,f3977,f3982,f4000,f4031,f4047,f4057,f4090,f4109,f4121,f4133,f4155,f4223,f4255,f4279,f4356,f4423,f4515,f4536,f4580,f4613,f4614,f4648,f4677,f4679,f4690,f4717,f4729,f4753,f4819,f4821,f4848,f4905,f4977,f5029,f5039,f5043,f5069,f5077,f5089,f5120,f5142,f5193,f5226,f5239,f5363,f5367,f5392,f5439,f5482,f5492,f5511,f5513,f5526,f5569,f5599,f5610,f5644,f5650,f5678,f5694,f5702,f5721,f5747,f5772,f5773,f5787,f5802,f5814,f5888,f5933,f5968,f5991,f6005,f6035,f6078,f6086,f6087,f6107,f6120,f6136,f6164,f6234,f6253,f6254,f6285,f6314,f6339,f6384,f6398,f6413,f6489,f6563,f6604,f6631,f6644,f6658,f6660,f6684,f6695,f6705,f6721,f6805,f6815,f6829,f6831,f6846,f6857,f6994,f7036,f7054,f7109,f7116,f7119,f7154,f7207,f7282,f7292,f7404,f7468,f7544,f7562,f7621,f7633,f7699,f7701,f7711,f7723,f7724,f7808,f7819,f7840,f7911,f7923,f7934,f7947,f7984,f8041,f8103,f8146,f8218,f8255,f8287,f8374,f8396,f8430,f8500,f8501,f8678,f8810,f8886,f8982,f9090,f9092,f9117,f9121,f9137,f9146,f9270,f9272,f9279,f9336,f9441,f9442,f9457,f9537,f9544,f9641,f9643,f9668,f9675,f9754,f9821,f9833,f9898,f9910,f10016,f10018,f10073,f10089,f10177,f10178,f10235,f10236,f10242,f10260,f10284,f10322,f10437,f10508,f10595,f10658,f10693,f10729,f10747,f10763,f10764,f10777,f10784,f10799,f10865,f10869,f10913,f10924,f11040,f11081,f11117,f11166,f11274,f11385,f11513,f11592,f11761,f11772,f11780,f11781,f11927,f12009,f12129,f12238,f12371,f12417,f12448,f12488,f12498,f12507,f12532,f12581,f12594,f12606,f12664,f12666,f12669,f12748,f12755,f12757,f12839,f12891,f12934,f12957,f12972,f12974,f12990,f13130,f13229,f13286,f13320,f13440,f13553,f13555,f13641,f13653,f13707,f13763,f13823,f13840,f13858,f13860,f13877,f13891,f13900,f13918,f13965,f14025,f14059,f14061,f14157,f14158,f14159,f14227,f14265,f14369,f14453,f14553,f14568,f14617,f14740,f14898,f14919,f14934,f15080,f15097,f15174,f15265,f15297,f15308,f15463,f15503,f15510,f15512,f15537,f15542,f15641,f15721,f15811,f15909,f15961,f16024,f16025,f16088,f16212,f16253,f16365,f16375,f16384,f16509,f16596,f16688,f16749,f16765,f16778,f16780,f16823,f16887,f16941,f17021,f17082,f17131,f17137,f17161,f17163,f17259,f17260,f17262,f17263,f17425,f17438,f17463,f17507,f17539,f17593,f17614,f17645,f17751,f17753,f17761,f17772,f17816,f17821,f17834,f17841,f17906,f17912,f17944,f17945,f18051]) ).
fof(f18051,plain,
( spl4_72
| spl4_6
| spl4_4
| ~ spl4_69
| ~ spl4_73
| ~ spl4_102 ),
inference(avatar_split_clause,[],[f17996,f831,f659,f641,f322,f332,f654]) ).
fof(f654,plain,
( spl4_72
<=> e2 = op(e1,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_72])]) ).
fof(f332,plain,
( spl4_6
<=> e2 = e3 ),
introduced(avatar_definition,[new_symbols(naming,[spl4_6])]) ).
fof(f322,plain,
( spl4_4
<=> e1 = e2 ),
introduced(avatar_definition,[new_symbols(naming,[spl4_4])]) ).
fof(f641,plain,
( spl4_69
<=> e1 = op(e1,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_69])]) ).
fof(f659,plain,
( spl4_73
<=> e1 = op(e1,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_73])]) ).
fof(f831,plain,
( spl4_102
<=> e3 = op(e1,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_102])]) ).
fof(f17996,plain,
( e1 = e2
| e2 = e3
| e2 = op(e1,e1)
| ~ spl4_69
| ~ spl4_73
| ~ spl4_102 ),
inference(duplicate_literal_removal,[],[f17995]) ).
fof(f17995,plain,
( e1 = e2
| e1 = e2
| e2 = e3
| e2 = op(e1,e1)
| ~ spl4_69
| ~ spl4_73
| ~ spl4_102 ),
inference(forward_demodulation,[],[f16240,f642]) ).
fof(f642,plain,
( e1 = op(e1,e0)
| ~ spl4_69 ),
inference(avatar_component_clause,[],[f641]) ).
fof(f16240,plain,
( e1 = e2
| e2 = e3
| e2 = op(e1,e1)
| e2 = op(e1,e0)
| ~ spl4_73
| ~ spl4_102 ),
inference(forward_demodulation,[],[f6261,f660]) ).
fof(f660,plain,
( e1 = op(e1,e3)
| ~ spl4_73 ),
inference(avatar_component_clause,[],[f659]) ).
fof(f6261,plain,
( e2 = e3
| e2 = op(e1,e3)
| e2 = op(e1,e1)
| e2 = op(e1,e0)
| ~ spl4_102 ),
inference(forward_demodulation,[],[f198,f832]) ).
fof(f832,plain,
( e3 = op(e1,e2)
| ~ spl4_102 ),
inference(avatar_component_clause,[],[f831]) ).
fof(f198,plain,
( e2 = op(e1,e3)
| e2 = op(e1,e2)
| e2 = op(e1,e1)
| e2 = op(e1,e0) ),
inference(cnf_transformation,[],[f2]) ).
fof(f2,axiom,
( ( e3 = op(e3,e3)
| e3 = op(e2,e3)
| e3 = op(e1,e3)
| e3 = op(e0,e3) )
& ( e3 = op(e3,e3)
| e3 = op(e3,e2)
| e3 = op(e3,e1)
| e3 = op(e3,e0) )
& ( e2 = op(e3,e3)
| e2 = op(e2,e3)
| e2 = op(e1,e3)
| e2 = op(e0,e3) )
& ( e2 = op(e3,e3)
| e2 = op(e3,e2)
| e2 = op(e3,e1)
| e2 = op(e3,e0) )
& ( e1 = op(e3,e3)
| e1 = op(e2,e3)
| e1 = op(e1,e3)
| e1 = op(e0,e3) )
& ( e1 = op(e3,e3)
| e1 = op(e3,e2)
| e1 = op(e3,e1)
| e1 = op(e3,e0) )
& ( e0 = op(e3,e3)
| e0 = op(e2,e3)
| e0 = op(e1,e3)
| e0 = op(e0,e3) )
& ( e0 = op(e3,e3)
| e0 = op(e3,e2)
| e0 = op(e3,e1)
| e0 = op(e3,e0) )
& ( e3 = op(e3,e2)
| e3 = op(e2,e2)
| e3 = op(e1,e2)
| e3 = op(e0,e2) )
& ( e3 = op(e2,e3)
| e3 = op(e2,e2)
| e3 = op(e2,e1)
| e3 = op(e2,e0) )
& ( e2 = op(e3,e2)
| e2 = op(e2,e2)
| e2 = op(e1,e2)
| e2 = op(e0,e2) )
& ( e2 = op(e2,e3)
| e2 = op(e2,e2)
| e2 = op(e2,e1)
| e2 = op(e2,e0) )
& ( e1 = op(e3,e2)
| e1 = op(e2,e2)
| e1 = op(e1,e2)
| e1 = op(e0,e2) )
& ( e1 = op(e2,e3)
| e1 = op(e2,e2)
| e1 = op(e2,e1)
| e1 = op(e2,e0) )
& ( e0 = op(e3,e2)
| e0 = op(e2,e2)
| e0 = op(e1,e2)
| e0 = op(e0,e2) )
& ( e0 = op(e2,e3)
| e0 = op(e2,e2)
| e0 = op(e2,e1)
| e0 = op(e2,e0) )
& ( e3 = op(e3,e1)
| e3 = op(e2,e1)
| e3 = op(e1,e1)
| e3 = op(e0,e1) )
& ( e3 = op(e1,e3)
| e3 = op(e1,e2)
| e3 = op(e1,e1)
| e3 = op(e1,e0) )
& ( e2 = op(e3,e1)
| e2 = op(e2,e1)
| e2 = op(e1,e1)
| e2 = op(e0,e1) )
& ( e2 = op(e1,e3)
| e2 = op(e1,e2)
| e2 = op(e1,e1)
| e2 = op(e1,e0) )
& ( e1 = op(e3,e1)
| e1 = op(e2,e1)
| e1 = op(e1,e1)
| e1 = op(e0,e1) )
& ( e1 = op(e1,e3)
| e1 = op(e1,e2)
| e1 = op(e1,e1)
| e1 = op(e1,e0) )
& ( e0 = op(e3,e1)
| e0 = op(e2,e1)
| e0 = op(e1,e1)
| e0 = op(e0,e1) )
& ( e0 = op(e1,e3)
| e0 = op(e1,e2)
| e0 = op(e1,e1)
| e0 = op(e1,e0) )
& ( e3 = op(e3,e0)
| e3 = op(e2,e0)
| e3 = op(e1,e0)
| op(e0,e0) = e3 )
& ( e3 = op(e0,e3)
| e3 = op(e0,e2)
| e3 = op(e0,e1)
| op(e0,e0) = e3 )
& ( e2 = op(e3,e0)
| e2 = op(e2,e0)
| e2 = op(e1,e0)
| op(e0,e0) = e2 )
& ( e2 = op(e0,e3)
| e2 = op(e0,e2)
| e2 = op(e0,e1)
| op(e0,e0) = e2 )
& ( e1 = op(e3,e0)
| e1 = op(e2,e0)
| e1 = op(e1,e0)
| op(e0,e0) = e1 )
& ( e1 = op(e0,e3)
| e1 = op(e0,e2)
| e1 = op(e0,e1)
| op(e0,e0) = e1 )
& ( e0 = op(e3,e0)
| e0 = op(e2,e0)
| e0 = op(e1,e0)
| e0 = op(e0,e0) )
& ( e0 = op(e0,e3)
| e0 = op(e0,e2)
| e0 = op(e0,e1)
| e0 = op(e0,e0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax2) ).
fof(f17945,plain,
( spl4_70
| spl4_109
| spl4_1
| ~ spl4_69
| ~ spl4_71 ),
inference(avatar_split_clause,[],[f14821,f650,f641,f307,f906,f645]) ).
fof(f645,plain,
( spl4_70
<=> e0 = op(e1,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_70])]) ).
fof(f906,plain,
( spl4_109
<=> e0 = op(e1,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_109])]) ).
fof(f307,plain,
( spl4_1
<=> e0 = e1 ),
introduced(avatar_definition,[new_symbols(naming,[spl4_1])]) ).
fof(f650,plain,
( spl4_71
<=> e1 = op(e1,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_71])]) ).
fof(f14821,plain,
( e0 = e1
| e0 = op(e1,e3)
| e0 = op(e1,e1)
| ~ spl4_69
| ~ spl4_71 ),
inference(duplicate_literal_removal,[],[f14820]) ).
fof(f14820,plain,
( e0 = e1
| e0 = e1
| e0 = op(e1,e3)
| e0 = op(e1,e1)
| ~ spl4_69
| ~ spl4_71 ),
inference(forward_demodulation,[],[f12542,f651]) ).
fof(f651,plain,
( e1 = op(e1,e2)
| ~ spl4_71 ),
inference(avatar_component_clause,[],[f650]) ).
fof(f12542,plain,
( e0 = e1
| e0 = op(e1,e3)
| e0 = op(e1,e2)
| e0 = op(e1,e1)
| ~ spl4_69 ),
inference(forward_demodulation,[],[f194,f642]) ).
fof(f194,plain,
( e0 = op(e1,e3)
| e0 = op(e1,e2)
| e0 = op(e1,e1)
| e0 = op(e1,e0) ),
inference(cnf_transformation,[],[f2]) ).
fof(f17944,plain,
( ~ spl4_84
| spl4_60
| ~ spl4_119 ),
inference(avatar_split_clause,[],[f15068,f1566,f599,f708]) ).
fof(f708,plain,
( spl4_84
<=> e2 = op(e3,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_84])]) ).
fof(f599,plain,
( spl4_60
<=> op(e3,e1) = op(e3,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_60])]) ).
fof(f1566,plain,
( spl4_119
<=> e2 = op(e3,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_119])]) ).
fof(f15068,plain,
( e2 != op(e3,e1)
| spl4_60
| ~ spl4_119 ),
inference(superposition,[],[f601,f1568]) ).
fof(f1568,plain,
( e2 = op(e3,e2)
| ~ spl4_119 ),
inference(avatar_component_clause,[],[f1566]) ).
fof(f601,plain,
( op(e3,e1) != op(e3,e2)
| spl4_60 ),
inference(avatar_component_clause,[],[f599]) ).
fof(f17912,plain,
( spl4_70
| spl4_109
| spl4_1
| spl4_2
| ~ spl4_69
| ~ spl4_112 ),
inference(avatar_split_clause,[],[f15212,f993,f641,f312,f307,f906,f645]) ).
fof(f312,plain,
( spl4_2
<=> e0 = e2 ),
introduced(avatar_definition,[new_symbols(naming,[spl4_2])]) ).
fof(f993,plain,
( spl4_112
<=> e2 = op(e1,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_112])]) ).
fof(f15212,plain,
( e0 = e2
| e0 = e1
| e0 = op(e1,e3)
| e0 = op(e1,e1)
| ~ spl4_69
| ~ spl4_112 ),
inference(forward_demodulation,[],[f12542,f995]) ).
fof(f995,plain,
( e2 = op(e1,e2)
| ~ spl4_112 ),
inference(avatar_component_clause,[],[f993]) ).
fof(f17906,plain,
( spl4_112
| spl4_2
| spl4_6
| spl4_4
| ~ spl4_83
| ~ spl4_87
| ~ spl4_101 ),
inference(avatar_split_clause,[],[f9776,f826,f722,f704,f322,f332,f312,f993]) ).
fof(f704,plain,
( spl4_83
<=> e1 = op(e3,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_83])]) ).
fof(f722,plain,
( spl4_87
<=> e0 = op(e0,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_87])]) ).
fof(f826,plain,
( spl4_101
<=> e3 = op(e2,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_101])]) ).
fof(f9776,plain,
( e1 = e2
| e2 = e3
| e0 = e2
| e2 = op(e1,e2)
| ~ spl4_83
| ~ spl4_87
| ~ spl4_101 ),
inference(forward_demodulation,[],[f6411,f705]) ).
fof(f705,plain,
( e1 = op(e3,e2)
| ~ spl4_83 ),
inference(avatar_component_clause,[],[f704]) ).
fof(f6411,plain,
( e2 = e3
| e0 = e2
| e2 = op(e3,e2)
| e2 = op(e1,e2)
| ~ spl4_87
| ~ spl4_101 ),
inference(forward_demodulation,[],[f6037,f827]) ).
fof(f827,plain,
( e3 = op(e2,e2)
| ~ spl4_101 ),
inference(avatar_component_clause,[],[f826]) ).
fof(f6037,plain,
( e0 = e2
| e2 = op(e3,e2)
| e2 = op(e2,e2)
| e2 = op(e1,e2)
| ~ spl4_87 ),
inference(forward_demodulation,[],[f207,f724]) ).
fof(f724,plain,
( e0 = op(e0,e2)
| ~ spl4_87 ),
inference(avatar_component_clause,[],[f722]) ).
fof(f207,plain,
( e2 = op(e3,e2)
| e2 = op(e2,e2)
| e2 = op(e1,e2)
| e2 = op(e0,e2) ),
inference(cnf_transformation,[],[f2]) ).
fof(f17841,plain,
( spl4_116
| spl4_6
| spl4_3
| spl4_5
| ~ spl4_81
| ~ spl4_90
| ~ spl4_93 ),
inference(avatar_split_clause,[],[f17825,f758,f738,f695,f327,f317,f332,f1069]) ).
fof(f1069,plain,
( spl4_116
<=> e3 = op(e1,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_116])]) ).
fof(f317,plain,
( spl4_3
<=> e0 = e3 ),
introduced(avatar_definition,[new_symbols(naming,[spl4_3])]) ).
fof(f327,plain,
( spl4_5
<=> e1 = e3 ),
introduced(avatar_definition,[new_symbols(naming,[spl4_5])]) ).
fof(f695,plain,
( spl4_81
<=> e1 = op(e3,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_81])]) ).
fof(f738,plain,
( spl4_90
<=> e0 = op(e2,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_90])]) ).
fof(f758,plain,
( spl4_93
<=> op(e0,e0) = e2 ),
introduced(avatar_definition,[new_symbols(naming,[spl4_93])]) ).
fof(f17825,plain,
( e1 = e3
| e0 = e3
| e2 = e3
| e3 = op(e1,e0)
| ~ spl4_81
| ~ spl4_90
| ~ spl4_93 ),
inference(forward_demodulation,[],[f17459,f696]) ).
fof(f696,plain,
( e1 = op(e3,e0)
| ~ spl4_81 ),
inference(avatar_component_clause,[],[f695]) ).
fof(f17459,plain,
( e0 = e3
| e2 = e3
| e3 = op(e3,e0)
| e3 = op(e1,e0)
| ~ spl4_90
| ~ spl4_93 ),
inference(forward_demodulation,[],[f4763,f740]) ).
fof(f740,plain,
( e0 = op(e2,e0)
| ~ spl4_90 ),
inference(avatar_component_clause,[],[f738]) ).
fof(f4763,plain,
( e2 = e3
| e3 = op(e3,e0)
| e3 = op(e2,e0)
| e3 = op(e1,e0)
| ~ spl4_93 ),
inference(forward_demodulation,[],[f193,f760]) ).
fof(f760,plain,
( op(e0,e0) = e2
| ~ spl4_93 ),
inference(avatar_component_clause,[],[f758]) ).
fof(f193,plain,
( e3 = op(e3,e0)
| e3 = op(e2,e0)
| e3 = op(e1,e0)
| op(e0,e0) = e3 ),
inference(cnf_transformation,[],[f2]) ).
fof(f17834,plain,
( spl4_86
| spl4_3
| spl4_5
| spl4_6
| ~ spl4_81
| ~ spl4_97
| ~ spl4_119 ),
inference(avatar_split_clause,[],[f17796,f1566,f808,f695,f332,f327,f317,f717]) ).
fof(f717,plain,
( spl4_86
<=> e3 = op(e3,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_86])]) ).
fof(f808,plain,
( spl4_97
<=> e0 = op(e3,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_97])]) ).
fof(f17796,plain,
( e2 = e3
| e1 = e3
| e0 = e3
| e3 = op(e3,e1)
| ~ spl4_81
| ~ spl4_97
| ~ spl4_119 ),
inference(forward_demodulation,[],[f16787,f1568]) ).
fof(f16787,plain,
( e1 = e3
| e0 = e3
| e3 = op(e3,e2)
| e3 = op(e3,e1)
| ~ spl4_81
| ~ spl4_97 ),
inference(forward_demodulation,[],[f7658,f696]) ).
fof(f7658,plain,
( e0 = e3
| e3 = op(e3,e2)
| e3 = op(e3,e1)
| e3 = op(e3,e0)
| ~ spl4_97 ),
inference(forward_demodulation,[],[f216,f809]) ).
fof(f809,plain,
( e0 = op(e3,e3)
| ~ spl4_97 ),
inference(avatar_component_clause,[],[f808]) ).
fof(f216,plain,
( e3 = op(e3,e3)
| e3 = op(e3,e2)
| e3 = op(e3,e1)
| e3 = op(e3,e0) ),
inference(cnf_transformation,[],[f2]) ).
fof(f17821,plain,
( spl4_120
| spl4_6
| spl4_3
| spl4_5
| ~ spl4_81
| ~ spl4_89
| ~ spl4_93 ),
inference(avatar_split_clause,[],[f6322,f758,f734,f695,f327,f317,f332,f1572]) ).
fof(f1572,plain,
( spl4_120
<=> e3 = op(e2,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_120])]) ).
fof(f734,plain,
( spl4_89
<=> e0 = op(e1,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_89])]) ).
fof(f6322,plain,
( e1 = e3
| e0 = e3
| e2 = e3
| e3 = op(e2,e0)
| ~ spl4_81
| ~ spl4_89
| ~ spl4_93 ),
inference(forward_demodulation,[],[f5821,f696]) ).
fof(f5821,plain,
( e0 = e3
| e2 = e3
| e3 = op(e3,e0)
| e3 = op(e2,e0)
| ~ spl4_89
| ~ spl4_93 ),
inference(forward_demodulation,[],[f4763,f736]) ).
fof(f736,plain,
( e0 = op(e1,e0)
| ~ spl4_89 ),
inference(avatar_component_clause,[],[f734]) ).
fof(f17816,plain,
( spl4_6
| spl4_3
| spl4_5
| ~ spl4_81
| ~ spl4_97
| ~ spl4_113
| ~ spl4_119 ),
inference(avatar_split_clause,[],[f17795,f1566,f1022,f808,f695,f327,f317,f332]) ).
fof(f1022,plain,
( spl4_113
<=> e1 = op(e3,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_113])]) ).
fof(f17795,plain,
( e1 = e3
| e0 = e3
| e2 = e3
| ~ spl4_81
| ~ spl4_97
| ~ spl4_113
| ~ spl4_119 ),
inference(duplicate_literal_removal,[],[f17794]) ).
fof(f17794,plain,
( e1 = e3
| e0 = e3
| e1 = e3
| e2 = e3
| ~ spl4_81
| ~ spl4_97
| ~ spl4_113
| ~ spl4_119 ),
inference(forward_demodulation,[],[f17793,f1024]) ).
fof(f1024,plain,
( e1 = op(e3,e1)
| ~ spl4_113 ),
inference(avatar_component_clause,[],[f1022]) ).
fof(f17793,plain,
( e0 = e3
| e1 = e3
| e2 = e3
| e3 = op(e3,e1)
| ~ spl4_81
| ~ spl4_97
| ~ spl4_119 ),
inference(forward_demodulation,[],[f16753,f809]) ).
fof(f16753,plain,
( e1 = e3
| e2 = e3
| e3 = op(e3,e3)
| e3 = op(e3,e1)
| ~ spl4_81
| ~ spl4_119 ),
inference(forward_demodulation,[],[f2018,f696]) ).
fof(f2018,plain,
( e2 = e3
| e3 = op(e3,e3)
| e3 = op(e3,e1)
| e3 = op(e3,e0)
| ~ spl4_119 ),
inference(forward_demodulation,[],[f216,f1568]) ).
fof(f17772,plain,
( spl4_72
| spl4_2
| spl4_4
| spl4_6
| ~ spl4_68
| ~ spl4_76
| ~ spl4_113 ),
inference(avatar_split_clause,[],[f17763,f1022,f672,f636,f332,f322,f312,f654]) ).
fof(f636,plain,
( spl4_68
<=> e3 = op(e0,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_68])]) ).
fof(f672,plain,
( spl4_76
<=> e0 = op(e2,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_76])]) ).
fof(f17763,plain,
( e2 = e3
| e1 = e2
| e0 = e2
| e2 = op(e1,e1)
| ~ spl4_68
| ~ spl4_76
| ~ spl4_113 ),
inference(forward_demodulation,[],[f14806,f638]) ).
fof(f638,plain,
( e3 = op(e0,e1)
| ~ spl4_68 ),
inference(avatar_component_clause,[],[f636]) ).
fof(f14806,plain,
( e1 = e2
| e0 = e2
| e2 = op(e1,e1)
| e2 = op(e0,e1)
| ~ spl4_76
| ~ spl4_113 ),
inference(forward_demodulation,[],[f5034,f1024]) ).
fof(f5034,plain,
( e0 = e2
| e2 = op(e3,e1)
| e2 = op(e1,e1)
| e2 = op(e0,e1)
| ~ spl4_76 ),
inference(forward_demodulation,[],[f199,f674]) ).
fof(f674,plain,
( e0 = op(e2,e1)
| ~ spl4_76 ),
inference(avatar_component_clause,[],[f672]) ).
fof(f199,plain,
( e2 = op(e3,e1)
| e2 = op(e2,e1)
| e2 = op(e1,e1)
| e2 = op(e0,e1) ),
inference(cnf_transformation,[],[f2]) ).
fof(f17761,plain,
( spl4_76
| spl4_98
| spl4_1
| spl4_3
| ~ spl4_75
| ~ spl4_101 ),
inference(avatar_split_clause,[],[f10112,f826,f668,f317,f307,f813,f672]) ).
fof(f813,plain,
( spl4_98
<=> e0 = op(e2,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_98])]) ).
fof(f668,plain,
( spl4_75
<=> e1 = op(e2,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_75])]) ).
fof(f10112,plain,
( e0 = e3
| e0 = e1
| e0 = op(e2,e3)
| e0 = op(e2,e1)
| ~ spl4_75
| ~ spl4_101 ),
inference(forward_demodulation,[],[f9156,f827]) ).
fof(f9156,plain,
( e0 = e1
| e0 = op(e2,e3)
| e0 = op(e2,e2)
| e0 = op(e2,e1)
| ~ spl4_75 ),
inference(forward_demodulation,[],[f202,f669]) ).
fof(f669,plain,
( e1 = op(e2,e0)
| ~ spl4_75 ),
inference(avatar_component_clause,[],[f668]) ).
fof(f202,plain,
( e0 = op(e2,e3)
| e0 = op(e2,e2)
| e0 = op(e2,e1)
| e0 = op(e2,e0) ),
inference(cnf_transformation,[],[f2]) ).
fof(f17753,plain,
( spl4_113
| spl4_4
| spl4_1
| spl4_5
| ~ spl4_97
| ~ spl4_119
| ~ spl4_122 ),
inference(avatar_split_clause,[],[f17673,f3961,f1566,f808,f327,f307,f322,f1022]) ).
fof(f3961,plain,
( spl4_122
<=> e3 = op(e3,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_122])]) ).
fof(f17673,plain,
( e1 = e3
| e0 = e1
| e1 = e2
| e1 = op(e3,e1)
| ~ spl4_97
| ~ spl4_119
| ~ spl4_122 ),
inference(forward_demodulation,[],[f8375,f3963]) ).
fof(f3963,plain,
( e3 = op(e3,e0)
| ~ spl4_122 ),
inference(avatar_component_clause,[],[f3961]) ).
fof(f8375,plain,
( e0 = e1
| e1 = e2
| e1 = op(e3,e1)
| e1 = op(e3,e0)
| ~ spl4_97
| ~ spl4_119 ),
inference(forward_demodulation,[],[f6844,f809]) ).
fof(f6844,plain,
( e1 = e2
| e1 = op(e3,e3)
| e1 = op(e3,e1)
| e1 = op(e3,e0)
| ~ spl4_119 ),
inference(forward_demodulation,[],[f212,f1568]) ).
fof(f212,plain,
( e1 = op(e3,e3)
| e1 = op(e3,e2)
| e1 = op(e3,e1)
| e1 = op(e3,e0) ),
inference(cnf_transformation,[],[f2]) ).
fof(f17751,plain,
( ~ spl4_120
| spl4_20
| ~ spl4_122 ),
inference(avatar_split_clause,[],[f9818,f3961,f399,f1572]) ).
fof(f399,plain,
( spl4_20
<=> op(e2,e0) = op(e3,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_20])]) ).
fof(f9818,plain,
( e3 != op(e2,e0)
| spl4_20
| ~ spl4_122 ),
inference(superposition,[],[f401,f3963]) ).
fof(f401,plain,
( op(e2,e0) != op(e3,e0)
| spl4_20 ),
inference(avatar_component_clause,[],[f399]) ).
fof(f17645,plain,
( spl4_12
| spl4_113
| spl4_5
| spl4_4
| ~ spl4_68
| ~ spl4_78 ),
inference(avatar_split_clause,[],[f10855,f681,f636,f322,f327,f1022,f359]) ).
fof(f359,plain,
( spl4_12
<=> e1 = op(e1,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_12])]) ).
fof(f681,plain,
( spl4_78
<=> e2 = op(e2,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_78])]) ).
fof(f10855,plain,
( e1 = e2
| e1 = e3
| e1 = op(e3,e1)
| e1 = op(e1,e1)
| ~ spl4_68
| ~ spl4_78 ),
inference(forward_demodulation,[],[f6731,f683]) ).
fof(f683,plain,
( e2 = op(e2,e1)
| ~ spl4_78 ),
inference(avatar_component_clause,[],[f681]) ).
fof(f6731,plain,
( e1 = e3
| e1 = op(e3,e1)
| e1 = op(e2,e1)
| e1 = op(e1,e1)
| ~ spl4_68 ),
inference(forward_demodulation,[],[f197,f638]) ).
fof(f197,plain,
( e1 = op(e3,e1)
| e1 = op(e2,e1)
| e1 = op(e1,e1)
| e1 = op(e0,e1) ),
inference(cnf_transformation,[],[f2]) ).
fof(f17614,plain,
( spl4_76
| spl4_98
| spl4_3
| spl4_1
| ~ spl4_77
| ~ spl4_120 ),
inference(avatar_split_clause,[],[f7868,f1572,f677,f307,f317,f813,f672]) ).
fof(f677,plain,
( spl4_77
<=> e1 = op(e2,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_77])]) ).
fof(f7868,plain,
( e0 = e1
| e0 = e3
| e0 = op(e2,e3)
| e0 = op(e2,e1)
| ~ spl4_77
| ~ spl4_120 ),
inference(forward_demodulation,[],[f4733,f678]) ).
fof(f678,plain,
( e1 = op(e2,e2)
| ~ spl4_77 ),
inference(avatar_component_clause,[],[f677]) ).
fof(f4733,plain,
( e0 = e3
| e0 = op(e2,e3)
| e0 = op(e2,e2)
| e0 = op(e2,e1)
| ~ spl4_120 ),
inference(forward_demodulation,[],[f202,f1574]) ).
fof(f1574,plain,
( e3 = op(e2,e0)
| ~ spl4_120 ),
inference(avatar_component_clause,[],[f1572]) ).
fof(f17593,plain,
( spl4_78
| spl4_2
| spl4_4
| spl4_6
| ~ spl4_77
| ~ spl4_98
| ~ spl4_120 ),
inference(avatar_split_clause,[],[f17559,f1572,f813,f677,f332,f322,f312,f681]) ).
fof(f17559,plain,
( e2 = e3
| e1 = e2
| e0 = e2
| e2 = op(e2,e1)
| ~ spl4_77
| ~ spl4_98
| ~ spl4_120 ),
inference(forward_demodulation,[],[f16937,f1574]) ).
fof(f16937,plain,
( e1 = e2
| e0 = e2
| e2 = op(e2,e1)
| e2 = op(e2,e0)
| ~ spl4_77
| ~ spl4_98 ),
inference(forward_demodulation,[],[f7960,f678]) ).
fof(f7960,plain,
( e0 = e2
| e2 = op(e2,e2)
| e2 = op(e2,e1)
| e2 = op(e2,e0)
| ~ spl4_98 ),
inference(forward_demodulation,[],[f206,f814]) ).
fof(f814,plain,
( e0 = op(e2,e3)
| ~ spl4_98 ),
inference(avatar_component_clause,[],[f813]) ).
fof(f206,plain,
( e2 = op(e2,e3)
| e2 = op(e2,e2)
| e2 = op(e2,e1)
| e2 = op(e2,e0) ),
inference(cnf_transformation,[],[f2]) ).
fof(f17539,plain,
( spl4_99
| spl4_2
| spl4_6
| spl4_4
| ~ spl4_67
| ~ spl4_98
| ~ spl4_117 ),
inference(avatar_split_clause,[],[f17517,f1073,f813,f632,f322,f332,f312,f817]) ).
fof(f817,plain,
( spl4_99
<=> e2 = op(e3,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_99])]) ).
fof(f632,plain,
( spl4_67
<=> e1 = op(e0,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_67])]) ).
fof(f1073,plain,
( spl4_117
<=> e3 = op(e1,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_117])]) ).
fof(f17517,plain,
( e1 = e2
| e2 = e3
| e0 = e2
| e2 = op(e3,e3)
| ~ spl4_67
| ~ spl4_98
| ~ spl4_117 ),
inference(forward_demodulation,[],[f16278,f633]) ).
fof(f633,plain,
( e1 = op(e0,e3)
| ~ spl4_67 ),
inference(avatar_component_clause,[],[f632]) ).
fof(f16278,plain,
( e2 = e3
| e0 = e2
| e2 = op(e3,e3)
| e2 = op(e0,e3)
| ~ spl4_98
| ~ spl4_117 ),
inference(forward_demodulation,[],[f8514,f1075]) ).
fof(f1075,plain,
( e3 = op(e1,e3)
| ~ spl4_117 ),
inference(avatar_component_clause,[],[f1073]) ).
fof(f8514,plain,
( e0 = e2
| e2 = op(e3,e3)
| e2 = op(e1,e3)
| e2 = op(e0,e3)
| ~ spl4_98 ),
inference(forward_demodulation,[],[f215,f814]) ).
fof(f215,plain,
( e2 = op(e3,e3)
| e2 = op(e2,e3)
| e2 = op(e1,e3)
| e2 = op(e0,e3) ),
inference(cnf_transformation,[],[f2]) ).
fof(f17507,plain,
( spl4_82
| spl4_1
| spl4_3
| ~ spl4_68
| ~ spl4_74
| ~ spl4_118 ),
inference(avatar_split_clause,[],[f17477,f1532,f663,f636,f317,f307,f699]) ).
fof(f699,plain,
( spl4_82
<=> e0 = op(e3,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_82])]) ).
fof(f663,plain,
( spl4_74
<=> e3 = op(e1,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_74])]) ).
fof(f1532,plain,
( spl4_118
<=> e1 = op(e2,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_118])]) ).
fof(f17477,plain,
( e0 = e3
| e0 = e1
| e0 = op(e3,e1)
| ~ spl4_68
| ~ spl4_74
| ~ spl4_118 ),
inference(duplicate_literal_removal,[],[f17476]) ).
fof(f17476,plain,
( e0 = e3
| e0 = e3
| e0 = e1
| e0 = op(e3,e1)
| ~ spl4_68
| ~ spl4_74
| ~ spl4_118 ),
inference(forward_demodulation,[],[f12872,f665]) ).
fof(f665,plain,
( e3 = op(e1,e1)
| ~ spl4_74 ),
inference(avatar_component_clause,[],[f663]) ).
fof(f12872,plain,
( e0 = e3
| e0 = e1
| e0 = op(e3,e1)
| e0 = op(e1,e1)
| ~ spl4_68
| ~ spl4_118 ),
inference(forward_demodulation,[],[f12505,f638]) ).
fof(f12505,plain,
( e0 = e1
| e0 = op(e3,e1)
| e0 = op(e1,e1)
| e0 = op(e0,e1)
| ~ spl4_118 ),
inference(forward_demodulation,[],[f195,f1534]) ).
fof(f1534,plain,
( e1 = op(e2,e1)
| ~ spl4_118 ),
inference(avatar_component_clause,[],[f1532]) ).
fof(f195,plain,
( e0 = op(e3,e1)
| e0 = op(e2,e1)
| e0 = op(e1,e1)
| e0 = op(e0,e1) ),
inference(cnf_transformation,[],[f2]) ).
fof(f17463,plain,
( spl4_118
| spl4_113
| spl4_5
| ~ spl4_68
| ~ spl4_74 ),
inference(avatar_split_clause,[],[f15311,f663,f636,f327,f1022,f1532]) ).
fof(f15311,plain,
( e1 = e3
| e1 = op(e3,e1)
| e1 = op(e2,e1)
| ~ spl4_68
| ~ spl4_74 ),
inference(duplicate_literal_removal,[],[f10290]) ).
fof(f10290,plain,
( e1 = e3
| e1 = e3
| e1 = op(e3,e1)
| e1 = op(e2,e1)
| ~ spl4_68
| ~ spl4_74 ),
inference(forward_demodulation,[],[f6731,f665]) ).
fof(f17438,plain,
( spl4_117
| spl4_5
| spl4_3
| ~ spl4_67
| ~ spl4_79
| ~ spl4_97 ),
inference(avatar_split_clause,[],[f17353,f808,f686,f632,f317,f327,f1073]) ).
fof(f686,plain,
( spl4_79
<=> e1 = op(e2,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_79])]) ).
fof(f17353,plain,
( e0 = e3
| e1 = e3
| e3 = op(e1,e3)
| ~ spl4_67
| ~ spl4_79
| ~ spl4_97 ),
inference(forward_demodulation,[],[f17065,f809]) ).
fof(f17065,plain,
( e1 = e3
| e3 = op(e3,e3)
| e3 = op(e1,e3)
| ~ spl4_67
| ~ spl4_79 ),
inference(duplicate_literal_removal,[],[f17064]) ).
fof(f17064,plain,
( e1 = e3
| e1 = e3
| e3 = op(e3,e3)
| e3 = op(e1,e3)
| ~ spl4_67
| ~ spl4_79 ),
inference(forward_demodulation,[],[f6180,f687]) ).
fof(f687,plain,
( e1 = op(e2,e3)
| ~ spl4_79 ),
inference(avatar_component_clause,[],[f686]) ).
fof(f6180,plain,
( e1 = e3
| e3 = op(e3,e3)
| e3 = op(e2,e3)
| e3 = op(e1,e3)
| ~ spl4_67 ),
inference(forward_demodulation,[],[f217,f633]) ).
fof(f217,plain,
( e3 = op(e3,e3)
| e3 = op(e2,e3)
| e3 = op(e1,e3)
| e3 = op(e0,e3) ),
inference(cnf_transformation,[],[f2]) ).
fof(f17425,plain,
( spl4_78
| spl4_6
| spl4_4
| ~ spl4_75
| ~ spl4_79
| ~ spl4_101 ),
inference(avatar_split_clause,[],[f17323,f826,f686,f668,f322,f332,f681]) ).
fof(f17323,plain,
( e1 = e2
| e2 = e3
| e2 = op(e2,e1)
| ~ spl4_75
| ~ spl4_79
| ~ spl4_101 ),
inference(duplicate_literal_removal,[],[f17322]) ).
fof(f17322,plain,
( e1 = e2
| e1 = e2
| e2 = e3
| e2 = op(e2,e1)
| ~ spl4_75
| ~ spl4_79
| ~ spl4_101 ),
inference(forward_demodulation,[],[f9188,f687]) ).
fof(f9188,plain,
( e1 = e2
| e2 = e3
| e2 = op(e2,e3)
| e2 = op(e2,e1)
| ~ spl4_75
| ~ spl4_101 ),
inference(forward_demodulation,[],[f2194,f669]) ).
fof(f2194,plain,
( e2 = e3
| e2 = op(e2,e3)
| e2 = op(e2,e1)
| e2 = op(e2,e0)
| ~ spl4_101 ),
inference(forward_demodulation,[],[f206,f827]) ).
fof(f17263,plain,
( spl4_77
| spl4_83
| spl4_5
| spl4_1
| ~ spl4_87
| ~ spl4_102 ),
inference(avatar_split_clause,[],[f5101,f831,f722,f307,f327,f704,f677]) ).
fof(f5101,plain,
( e0 = e1
| e1 = e3
| e1 = op(e3,e2)
| e1 = op(e2,e2)
| ~ spl4_87
| ~ spl4_102 ),
inference(forward_demodulation,[],[f3327,f724]) ).
fof(f3327,plain,
( e1 = e3
| e1 = op(e3,e2)
| e1 = op(e2,e2)
| e1 = op(e0,e2)
| ~ spl4_102 ),
inference(forward_demodulation,[],[f205,f832]) ).
fof(f205,plain,
( e1 = op(e3,e2)
| e1 = op(e2,e2)
| e1 = op(e1,e2)
| e1 = op(e0,e2) ),
inference(cnf_transformation,[],[f2]) ).
fof(f17262,plain,
( ~ spl4_77
| spl4_56
| ~ spl4_79 ),
inference(avatar_split_clause,[],[f13812,f686,f579,f677]) ).
fof(f579,plain,
( spl4_56
<=> op(e2,e2) = op(e2,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_56])]) ).
fof(f13812,plain,
( e1 != op(e2,e2)
| spl4_56
| ~ spl4_79 ),
inference(superposition,[],[f581,f687]) ).
fof(f581,plain,
( op(e2,e2) != op(e2,e3)
| spl4_56 ),
inference(avatar_component_clause,[],[f579]) ).
fof(f17260,plain,
( spl4_98
| spl4_1
| spl4_2
| spl4_3
| ~ spl4_77
| ~ spl4_78
| ~ spl4_120 ),
inference(avatar_split_clause,[],[f17192,f1572,f681,f677,f317,f312,f307,f813]) ).
fof(f17192,plain,
( e0 = e3
| e0 = e2
| e0 = e1
| e0 = op(e2,e3)
| ~ spl4_77
| ~ spl4_78
| ~ spl4_120 ),
inference(forward_demodulation,[],[f15671,f1574]) ).
fof(f15671,plain,
( e0 = e2
| e0 = e1
| e0 = op(e2,e3)
| e0 = op(e2,e0)
| ~ spl4_77
| ~ spl4_78 ),
inference(forward_demodulation,[],[f8232,f683]) ).
fof(f8232,plain,
( e0 = e1
| e0 = op(e2,e3)
| e0 = op(e2,e1)
| e0 = op(e2,e0)
| ~ spl4_77 ),
inference(forward_demodulation,[],[f202,f678]) ).
fof(f17259,plain,
( ~ spl4_81
| ~ spl4_120
| ~ spl4_93 ),
inference(avatar_split_clause,[],[f16524,f758,f1572,f695]) ).
fof(f16524,plain,
( e3 != op(e2,e0)
| e1 != op(e3,e0)
| ~ spl4_93 ),
inference(trivial_inequality_removal,[],[f5651]) ).
fof(f5651,plain,
( e2 != e2
| e3 != op(e2,e0)
| e1 != op(e3,e0)
| ~ spl4_93 ),
inference(forward_demodulation,[],[f303,f760]) ).
fof(f303,plain,
( op(e0,e0) != e2
| e3 != op(e2,e0)
| e1 != op(e3,e0) ),
inference(inner_rewriting,[],[f302]) ).
fof(f302,plain,
( op(e0,e0) != e2
| e3 != op(e2,e0)
| e1 != op(op(e2,e0),e0) ),
inference(inner_rewriting,[],[f256]) ).
fof(f256,plain,
( op(e0,e0) != e2
| e3 != op(op(e0,e0),e0)
| e1 != op(op(op(e0,e0),e0),e0) ),
inference(cnf_transformation,[],[f52]) ).
fof(f52,plain,
( op(e0,e0) != e2
| e3 != op(op(e0,e0),e0)
| e1 != op(op(op(e0,e0),e0),e0) ),
inference(ennf_transformation,[],[f7]) ).
fof(f7,axiom,
~ ( op(e0,e0) = e2
& e3 = op(op(e0,e0),e0)
& e1 = op(op(op(e0,e0),e0),e0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax7) ).
fof(f17163,plain,
( spl4_109
| spl4_97
| spl4_1
| spl4_3
| ~ spl4_67
| ~ spl4_121 ),
inference(avatar_split_clause,[],[f16252,f1576,f632,f317,f307,f808,f906]) ).
fof(f1576,plain,
( spl4_121
<=> e3 = op(e2,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_121])]) ).
fof(f16252,plain,
( e0 = e3
| e0 = e1
| e0 = op(e3,e3)
| e0 = op(e1,e3)
| ~ spl4_67
| ~ spl4_121 ),
inference(forward_demodulation,[],[f6178,f1578]) ).
fof(f1578,plain,
( e3 = op(e2,e3)
| ~ spl4_121 ),
inference(avatar_component_clause,[],[f1576]) ).
fof(f6178,plain,
( e0 = e1
| e0 = op(e3,e3)
| e0 = op(e2,e3)
| e0 = op(e1,e3)
| ~ spl4_67 ),
inference(forward_demodulation,[],[f211,f633]) ).
fof(f211,plain,
( e0 = op(e3,e3)
| e0 = op(e2,e3)
| e0 = op(e1,e3)
| e0 = op(e0,e3) ),
inference(cnf_transformation,[],[f2]) ).
fof(f17161,plain,
( spl4_76
| spl4_82
| spl4_2
| spl4_3
| ~ spl4_68
| ~ spl4_72 ),
inference(avatar_split_clause,[],[f2019,f654,f636,f317,f312,f699,f672]) ).
fof(f2019,plain,
( e0 = e3
| e0 = e2
| e0 = op(e3,e1)
| e0 = op(e2,e1)
| ~ spl4_68
| ~ spl4_72 ),
inference(forward_demodulation,[],[f1997,f638]) ).
fof(f1997,plain,
( e0 = e2
| e0 = op(e3,e1)
| e0 = op(e2,e1)
| e0 = op(e0,e1)
| ~ spl4_72 ),
inference(forward_demodulation,[],[f195,f656]) ).
fof(f656,plain,
( e2 = op(e1,e1)
| ~ spl4_72 ),
inference(avatar_component_clause,[],[f654]) ).
fof(f17137,plain,
( spl4_99
| spl4_6
| spl4_2
| spl4_4
| ~ spl4_67
| ~ spl4_109
| ~ spl4_121 ),
inference(avatar_split_clause,[],[f17103,f1576,f906,f632,f322,f312,f332,f817]) ).
fof(f17103,plain,
( e1 = e2
| e0 = e2
| e2 = e3
| e2 = op(e3,e3)
| ~ spl4_67
| ~ spl4_109
| ~ spl4_121 ),
inference(forward_demodulation,[],[f1959,f633]) ).
fof(f1959,plain,
( e0 = e2
| e2 = e3
| e2 = op(e3,e3)
| e2 = op(e0,e3)
| ~ spl4_109
| ~ spl4_121 ),
inference(forward_demodulation,[],[f1669,f908]) ).
fof(f908,plain,
( e0 = op(e1,e3)
| ~ spl4_109 ),
inference(avatar_component_clause,[],[f906]) ).
fof(f1669,plain,
( e2 = e3
| e2 = op(e3,e3)
| e2 = op(e1,e3)
| e2 = op(e0,e3)
| ~ spl4_121 ),
inference(forward_demodulation,[],[f215,f1578]) ).
fof(f17131,plain,
( ~ spl4_101
| spl4_56
| ~ spl4_121 ),
inference(avatar_split_clause,[],[f11381,f1576,f579,f826]) ).
fof(f11381,plain,
( e3 != op(e2,e2)
| spl4_56
| ~ spl4_121 ),
inference(superposition,[],[f581,f1578]) ).
fof(f17082,plain,
( spl4_97
| spl4_1
| spl4_2
| ~ spl4_67
| ~ spl4_79
| ~ spl4_96 ),
inference(avatar_split_clause,[],[f17056,f804,f686,f632,f312,f307,f808]) ).
fof(f804,plain,
( spl4_96
<=> e2 = op(e1,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_96])]) ).
fof(f17056,plain,
( e0 = e2
| e0 = e1
| e0 = op(e3,e3)
| ~ spl4_67
| ~ spl4_79
| ~ spl4_96 ),
inference(forward_demodulation,[],[f14632,f805]) ).
fof(f805,plain,
( e2 = op(e1,e3)
| ~ spl4_96 ),
inference(avatar_component_clause,[],[f804]) ).
fof(f14632,plain,
( e0 = e1
| e0 = op(e3,e3)
| e0 = op(e1,e3)
| ~ spl4_67
| ~ spl4_79 ),
inference(duplicate_literal_removal,[],[f14097]) ).
fof(f14097,plain,
( e0 = e1
| e0 = e1
| e0 = op(e3,e3)
| e0 = op(e1,e3)
| ~ spl4_67
| ~ spl4_79 ),
inference(forward_demodulation,[],[f6178,f687]) ).
fof(f17021,plain,
( spl4_97
| spl4_2
| spl4_1
| spl4_3
| ~ spl4_79
| ~ spl4_96
| ~ spl4_111 ),
inference(avatar_split_clause,[],[f16964,f926,f804,f686,f317,f307,f312,f808]) ).
fof(f926,plain,
( spl4_111
<=> e3 = op(e0,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_111])]) ).
fof(f16964,plain,
( e0 = e3
| e0 = e1
| e0 = e2
| e0 = op(e3,e3)
| ~ spl4_79
| ~ spl4_96
| ~ spl4_111 ),
inference(forward_demodulation,[],[f10768,f928]) ).
fof(f928,plain,
( e3 = op(e0,e3)
| ~ spl4_111 ),
inference(avatar_component_clause,[],[f926]) ).
fof(f10768,plain,
( e0 = e1
| e0 = e2
| e0 = op(e3,e3)
| e0 = op(e0,e3)
| ~ spl4_79
| ~ spl4_96 ),
inference(forward_demodulation,[],[f5124,f687]) ).
fof(f5124,plain,
( e0 = e2
| e0 = op(e3,e3)
| e0 = op(e2,e3)
| e0 = op(e0,e3)
| ~ spl4_96 ),
inference(forward_demodulation,[],[f211,f805]) ).
fof(f16941,plain,
( ~ spl4_7
| spl4_3
| ~ spl4_90
| ~ spl4_98 ),
inference(avatar_split_clause,[],[f16915,f813,f738,f317,f337]) ).
fof(f337,plain,
( spl4_7
<=> sP0 ),
introduced(avatar_definition,[new_symbols(naming,[spl4_7])]) ).
fof(f16915,plain,
( e0 = e3
| ~ sP0
| ~ spl4_90
| ~ spl4_98 ),
inference(forward_demodulation,[],[f16263,f740]) ).
fof(f16263,plain,
( e3 = op(e2,e0)
| ~ sP0
| ~ spl4_98 ),
inference(trivial_inequality_removal,[],[f9455]) ).
fof(f9455,plain,
( e0 != e0
| e3 = op(e2,e0)
| ~ sP0
| ~ spl4_98 ),
inference(forward_demodulation,[],[f128,f814]) ).
fof(f128,plain,
( e3 = op(e2,e0)
| e0 != op(e2,e3)
| ~ sP0 ),
inference(cnf_transformation,[],[f62]) ).
fof(f62,plain,
( ( ( e3 = op(e3,e0)
| e0 != op(e3,e3) )
& ( e2 = op(e3,e0)
| e0 != op(e3,e2) )
& ( e1 = op(e3,e0)
| e0 != op(e3,e1) )
& ( e0 = op(e3,e0)
| e0 != op(e3,e0) )
& ( e3 = op(e2,e0)
| e0 != op(e2,e3) )
& ( e2 = op(e2,e0)
| e0 != op(e2,e2) )
& ( e1 = op(e2,e0)
| e0 != op(e2,e1) )
& ( e0 = op(e2,e0)
| e0 != op(e2,e0) )
& ( e3 = op(e1,e0)
| e0 != op(e1,e3) )
& ( e2 = op(e1,e0)
| e0 != op(e1,e2) )
& ( e1 = op(e1,e0)
| e0 != op(e1,e1) )
& ( e0 = op(e1,e0)
| e0 != op(e1,e0) )
& ( op(e0,e0) = e3
| e0 != op(e0,e3) )
& ( op(e0,e0) = e2
| e0 != op(e0,e2) )
& ( op(e0,e0) = e1
| e0 != op(e0,e1) )
& ( e0 = op(e0,e0)
| e0 != op(e0,e0) ) )
| ~ sP0 ),
inference(nnf_transformation,[],[f54]) ).
fof(f54,plain,
( ( ( e3 = op(e3,e0)
| e0 != op(e3,e3) )
& ( e2 = op(e3,e0)
| e0 != op(e3,e2) )
& ( e1 = op(e3,e0)
| e0 != op(e3,e1) )
& ( e0 = op(e3,e0)
| e0 != op(e3,e0) )
& ( e3 = op(e2,e0)
| e0 != op(e2,e3) )
& ( e2 = op(e2,e0)
| e0 != op(e2,e2) )
& ( e1 = op(e2,e0)
| e0 != op(e2,e1) )
& ( e0 = op(e2,e0)
| e0 != op(e2,e0) )
& ( e3 = op(e1,e0)
| e0 != op(e1,e3) )
& ( e2 = op(e1,e0)
| e0 != op(e1,e2) )
& ( e1 = op(e1,e0)
| e0 != op(e1,e1) )
& ( e0 = op(e1,e0)
| e0 != op(e1,e0) )
& ( op(e0,e0) = e3
| e0 != op(e0,e3) )
& ( op(e0,e0) = e2
| e0 != op(e0,e2) )
& ( op(e0,e0) = e1
| e0 != op(e0,e1) )
& ( e0 = op(e0,e0)
| e0 != op(e0,e0) ) )
| ~ sP0 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
fof(f16887,plain,
( spl4_97
| spl4_2
| spl4_3
| spl4_1
| ~ spl4_73
| ~ spl4_111
| ~ spl4_114 ),
inference(avatar_split_clause,[],[f5833,f1035,f926,f659,f307,f317,f312,f808]) ).
fof(f1035,plain,
( spl4_114
<=> e2 = op(e2,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_114])]) ).
fof(f5833,plain,
( e0 = e1
| e0 = e3
| e0 = e2
| e0 = op(e3,e3)
| ~ spl4_73
| ~ spl4_111
| ~ spl4_114 ),
inference(forward_demodulation,[],[f4157,f660]) ).
fof(f4157,plain,
( e0 = e3
| e0 = e2
| e0 = op(e3,e3)
| e0 = op(e1,e3)
| ~ spl4_111
| ~ spl4_114 ),
inference(forward_demodulation,[],[f4156,f928]) ).
fof(f4156,plain,
( e0 = e2
| e0 = op(e3,e3)
| e0 = op(e1,e3)
| e0 = op(e0,e3)
| ~ spl4_114 ),
inference(forward_demodulation,[],[f211,f1037]) ).
fof(f1037,plain,
( e2 = op(e2,e3)
| ~ spl4_114 ),
inference(avatar_component_clause,[],[f1035]) ).
fof(f16823,plain,
( spl4_86
| spl4_3
| spl4_5
| ~ spl4_81
| ~ spl4_83
| ~ spl4_97 ),
inference(avatar_split_clause,[],[f16799,f808,f704,f695,f327,f317,f717]) ).
fof(f16799,plain,
( e1 = e3
| e0 = e3
| e3 = op(e3,e1)
| ~ spl4_81
| ~ spl4_83
| ~ spl4_97 ),
inference(duplicate_literal_removal,[],[f16798]) ).
fof(f16798,plain,
( e1 = e3
| e0 = e3
| e1 = e3
| e3 = op(e3,e1)
| ~ spl4_81
| ~ spl4_83
| ~ spl4_97 ),
inference(forward_demodulation,[],[f14416,f696]) ).
fof(f14416,plain,
( e0 = e3
| e1 = e3
| e3 = op(e3,e1)
| e3 = op(e3,e0)
| ~ spl4_83
| ~ spl4_97 ),
inference(forward_demodulation,[],[f2057,f809]) ).
fof(f2057,plain,
( e1 = e3
| e3 = op(e3,e3)
| e3 = op(e3,e1)
| e3 = op(e3,e0)
| ~ spl4_83 ),
inference(forward_demodulation,[],[f216,f705]) ).
fof(f16780,plain,
( spl4_72
| spl4_96
| spl4_6
| spl4_4
| ~ spl4_71
| ~ spl4_116 ),
inference(avatar_split_clause,[],[f14595,f1069,f650,f322,f332,f804,f654]) ).
fof(f14595,plain,
( e1 = e2
| e2 = e3
| e2 = op(e1,e3)
| e2 = op(e1,e1)
| ~ spl4_71
| ~ spl4_116 ),
inference(forward_demodulation,[],[f6634,f651]) ).
fof(f6634,plain,
( e2 = e3
| e2 = op(e1,e3)
| e2 = op(e1,e2)
| e2 = op(e1,e1)
| ~ spl4_116 ),
inference(forward_demodulation,[],[f198,f1071]) ).
fof(f1071,plain,
( e3 = op(e1,e0)
| ~ spl4_116 ),
inference(avatar_component_clause,[],[f1069]) ).
fof(f16778,plain,
( ~ spl4_64
| spl4_42
| ~ spl4_87 ),
inference(avatar_split_clause,[],[f9239,f722,f509,f618]) ).
fof(f618,plain,
( spl4_64
<=> e0 = op(e0,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_64])]) ).
fof(f509,plain,
( spl4_42
<=> op(e0,e1) = op(e0,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_42])]) ).
fof(f9239,plain,
( e0 != op(e0,e1)
| spl4_42
| ~ spl4_87 ),
inference(superposition,[],[f511,f724]) ).
fof(f511,plain,
( op(e0,e1) != op(e0,e2)
| spl4_42 ),
inference(avatar_component_clause,[],[f509]) ).
fof(f16765,plain,
( spl4_14
| spl4_3
| spl4_6
| spl4_5
| ~ spl4_67
| ~ spl4_109
| ~ spl4_114 ),
inference(avatar_split_clause,[],[f16751,f1035,f906,f632,f327,f332,f317,f369]) ).
fof(f369,plain,
( spl4_14
<=> e3 = op(e3,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_14])]) ).
fof(f16751,plain,
( e1 = e3
| e2 = e3
| e0 = e3
| e3 = op(e3,e3)
| ~ spl4_67
| ~ spl4_109
| ~ spl4_114 ),
inference(forward_demodulation,[],[f16750,f633]) ).
fof(f16750,plain,
( e2 = e3
| e0 = e3
| e3 = op(e3,e3)
| e3 = op(e0,e3)
| ~ spl4_109
| ~ spl4_114 ),
inference(forward_demodulation,[],[f1824,f1037]) ).
fof(f1824,plain,
( e0 = e3
| e3 = op(e3,e3)
| e3 = op(e2,e3)
| e3 = op(e0,e3)
| ~ spl4_109 ),
inference(forward_demodulation,[],[f217,f908]) ).
fof(f16749,plain,
( spl4_3
| spl4_6
| spl4_5
| ~ spl4_67
| ~ spl4_97
| ~ spl4_109
| ~ spl4_114 ),
inference(avatar_split_clause,[],[f16707,f1035,f906,f808,f632,f327,f332,f317]) ).
fof(f16707,plain,
( e1 = e3
| e2 = e3
| e0 = e3
| ~ spl4_67
| ~ spl4_97
| ~ spl4_109
| ~ spl4_114 ),
inference(forward_demodulation,[],[f16706,f633]) ).
fof(f16706,plain,
( e2 = e3
| e0 = e3
| e3 = op(e0,e3)
| ~ spl4_97
| ~ spl4_109
| ~ spl4_114 ),
inference(forward_demodulation,[],[f16705,f1037]) ).
fof(f16705,plain,
( e0 = e3
| e3 = op(e2,e3)
| e3 = op(e0,e3)
| ~ spl4_97
| ~ spl4_109 ),
inference(duplicate_literal_removal,[],[f16704]) ).
fof(f16704,plain,
( e0 = e3
| e0 = e3
| e3 = op(e2,e3)
| e3 = op(e0,e3)
| ~ spl4_97
| ~ spl4_109 ),
inference(forward_demodulation,[],[f1824,f809]) ).
fof(f16688,plain,
( ~ spl4_10
| ~ spl4_116
| spl4_109 ),
inference(avatar_split_clause,[],[f73,f906,f1069,f349]) ).
fof(f349,plain,
( spl4_10
<=> sP3 ),
introduced(avatar_definition,[new_symbols(naming,[spl4_10])]) ).
fof(f73,plain,
( e0 = op(e1,e3)
| e3 != op(e1,e0)
| ~ sP3 ),
inference(cnf_transformation,[],[f59]) ).
fof(f59,plain,
( ( ( e3 = op(e3,e3)
| e3 != op(e3,e3) )
& ( e2 = op(e3,e3)
| e3 != op(e3,e2) )
& ( e1 = op(e3,e3)
| e3 != op(e3,e1) )
& ( e0 = op(e3,e3)
| e3 != op(e3,e0) )
& ( e3 = op(e2,e3)
| e3 != op(e2,e3) )
& ( e2 = op(e2,e3)
| e3 != op(e2,e2) )
& ( e1 = op(e2,e3)
| e3 != op(e2,e1) )
& ( e0 = op(e2,e3)
| e3 != op(e2,e0) )
& ( e3 = op(e1,e3)
| e3 != op(e1,e3) )
& ( e2 = op(e1,e3)
| e3 != op(e1,e2) )
& ( e1 = op(e1,e3)
| e3 != op(e1,e1) )
& ( e0 = op(e1,e3)
| e3 != op(e1,e0) )
& ( e3 = op(e0,e3)
| e3 != op(e0,e3) )
& ( e2 = op(e0,e3)
| e3 != op(e0,e2) )
& ( e1 = op(e0,e3)
| e3 != op(e0,e1) )
& ( e0 = op(e0,e3)
| op(e0,e0) != e3 ) )
| ~ sP3 ),
inference(nnf_transformation,[],[f57]) ).
fof(f57,plain,
( ( ( e3 = op(e3,e3)
| e3 != op(e3,e3) )
& ( e2 = op(e3,e3)
| e3 != op(e3,e2) )
& ( e1 = op(e3,e3)
| e3 != op(e3,e1) )
& ( e0 = op(e3,e3)
| e3 != op(e3,e0) )
& ( e3 = op(e2,e3)
| e3 != op(e2,e3) )
& ( e2 = op(e2,e3)
| e3 != op(e2,e2) )
& ( e1 = op(e2,e3)
| e3 != op(e2,e1) )
& ( e0 = op(e2,e3)
| e3 != op(e2,e0) )
& ( e3 = op(e1,e3)
| e3 != op(e1,e3) )
& ( e2 = op(e1,e3)
| e3 != op(e1,e2) )
& ( e1 = op(e1,e3)
| e3 != op(e1,e1) )
& ( e0 = op(e1,e3)
| e3 != op(e1,e0) )
& ( e3 = op(e0,e3)
| e3 != op(e0,e3) )
& ( e2 = op(e0,e3)
| e3 != op(e0,e2) )
& ( e1 = op(e0,e3)
| e3 != op(e0,e1) )
& ( e0 = op(e0,e3)
| op(e0,e0) != e3 ) )
| ~ sP3 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP3])]) ).
fof(f16596,plain,
( spl4_5
| ~ spl4_67
| ~ spl4_111 ),
inference(avatar_split_clause,[],[f10428,f926,f632,f327]) ).
fof(f10428,plain,
( e1 = e3
| ~ spl4_67
| ~ spl4_111 ),
inference(superposition,[],[f928,f633]) ).
fof(f16509,plain,
( spl4_105
| spl4_4
| spl4_2
| ~ spl4_76
| ~ spl4_77
| ~ spl4_98 ),
inference(avatar_split_clause,[],[f16421,f813,f677,f672,f312,f322,f856]) ).
fof(f856,plain,
( spl4_105
<=> e2 = op(e2,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_105])]) ).
fof(f16421,plain,
( e0 = e2
| e1 = e2
| e2 = op(e2,e0)
| ~ spl4_76
| ~ spl4_77
| ~ spl4_98 ),
inference(duplicate_literal_removal,[],[f16420]) ).
fof(f16420,plain,
( e0 = e2
| e1 = e2
| e0 = e2
| e2 = op(e2,e0)
| ~ spl4_76
| ~ spl4_77
| ~ spl4_98 ),
inference(forward_demodulation,[],[f14989,f814]) ).
fof(f14989,plain,
( e1 = e2
| e0 = e2
| e2 = op(e2,e3)
| e2 = op(e2,e0)
| ~ spl4_76
| ~ spl4_77 ),
inference(forward_demodulation,[],[f1015,f678]) ).
fof(f1015,plain,
( e0 = e2
| e2 = op(e2,e3)
| e2 = op(e2,e2)
| e2 = op(e2,e0)
| ~ spl4_76 ),
inference(forward_demodulation,[],[f206,f674]) ).
fof(f16384,plain,
( ~ spl4_10
| spl4_4
| ~ spl4_68
| ~ spl4_95 ),
inference(avatar_split_clause,[],[f16382,f766,f636,f322,f349]) ).
fof(f766,plain,
( spl4_95
<=> e2 = op(e0,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_95])]) ).
fof(f16382,plain,
( e1 = e2
| ~ sP3
| ~ spl4_68
| ~ spl4_95 ),
inference(trivial_inequality_removal,[],[f16381]) ).
fof(f16381,plain,
( e3 != e3
| e1 = e2
| ~ sP3
| ~ spl4_68
| ~ spl4_95 ),
inference(forward_demodulation,[],[f9345,f638]) ).
fof(f9345,plain,
( e1 = e2
| e3 != op(e0,e1)
| ~ sP3
| ~ spl4_95 ),
inference(forward_demodulation,[],[f70,f768]) ).
fof(f768,plain,
( e2 = op(e0,e3)
| ~ spl4_95 ),
inference(avatar_component_clause,[],[f766]) ).
fof(f70,plain,
( e1 = op(e0,e3)
| e3 != op(e0,e1)
| ~ sP3 ),
inference(cnf_transformation,[],[f59]) ).
fof(f16375,plain,
( spl4_100
| spl4_97
| spl4_3
| spl4_2
| ~ spl4_86
| ~ spl4_106 ),
inference(avatar_split_clause,[],[f3538,f860,f717,f312,f317,f808,f822]) ).
fof(f822,plain,
( spl4_100
<=> e0 = op(e3,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_100])]) ).
fof(f860,plain,
( spl4_106
<=> e2 = op(e3,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_106])]) ).
fof(f3538,plain,
( e0 = e2
| e0 = e3
| e0 = op(e3,e3)
| e0 = op(e3,e2)
| ~ spl4_86
| ~ spl4_106 ),
inference(forward_demodulation,[],[f1471,f862]) ).
fof(f862,plain,
( e2 = op(e3,e0)
| ~ spl4_106 ),
inference(avatar_component_clause,[],[f860]) ).
fof(f1471,plain,
( e0 = e3
| e0 = op(e3,e3)
| e0 = op(e3,e2)
| e0 = op(e3,e0)
| ~ spl4_86 ),
inference(forward_demodulation,[],[f210,f719]) ).
fof(f719,plain,
( e3 = op(e3,e1)
| ~ spl4_86 ),
inference(avatar_component_clause,[],[f717]) ).
fof(f210,plain,
( e0 = op(e3,e3)
| e0 = op(e3,e2)
| e0 = op(e3,e1)
| e0 = op(e3,e0) ),
inference(cnf_transformation,[],[f2]) ).
fof(f16365,plain,
( spl4_101
| spl4_5
| spl4_3
| ~ spl4_71
| ~ spl4_87
| ~ spl4_100 ),
inference(avatar_split_clause,[],[f16295,f822,f722,f650,f317,f327,f826]) ).
fof(f16295,plain,
( e0 = e3
| e1 = e3
| e3 = op(e2,e2)
| ~ spl4_71
| ~ spl4_87
| ~ spl4_100 ),
inference(duplicate_literal_removal,[],[f16294]) ).
fof(f16294,plain,
( e0 = e3
| e1 = e3
| e0 = e3
| e3 = op(e2,e2)
| ~ spl4_71
| ~ spl4_87
| ~ spl4_100 ),
inference(forward_demodulation,[],[f13240,f724]) ).
fof(f13240,plain,
( e1 = e3
| e0 = e3
| e3 = op(e2,e2)
| e3 = op(e0,e2)
| ~ spl4_71
| ~ spl4_100 ),
inference(forward_demodulation,[],[f1216,f651]) ).
fof(f1216,plain,
( e0 = e3
| e3 = op(e2,e2)
| e3 = op(e1,e2)
| e3 = op(e0,e2)
| ~ spl4_100 ),
inference(forward_demodulation,[],[f209,f823]) ).
fof(f823,plain,
( e0 = op(e3,e2)
| ~ spl4_100 ),
inference(avatar_component_clause,[],[f822]) ).
fof(f209,plain,
( e3 = op(e3,e2)
| e3 = op(e2,e2)
| e3 = op(e1,e2)
| e3 = op(e0,e2) ),
inference(cnf_transformation,[],[f2]) ).
fof(f16253,plain,
( ~ spl4_7
| spl4_6
| ~ spl4_87
| ~ spl4_107 ),
inference(avatar_split_clause,[],[f16234,f883,f722,f332,f337]) ).
fof(f883,plain,
( spl4_107
<=> op(e0,e0) = e3 ),
introduced(avatar_definition,[new_symbols(naming,[spl4_107])]) ).
fof(f16234,plain,
( e2 = e3
| ~ sP0
| ~ spl4_87
| ~ spl4_107 ),
inference(trivial_inequality_removal,[],[f16233]) ).
fof(f16233,plain,
( e0 != e0
| e2 = e3
| ~ sP0
| ~ spl4_87
| ~ spl4_107 ),
inference(forward_demodulation,[],[f9162,f724]) ).
fof(f9162,plain,
( e2 = e3
| e0 != op(e0,e2)
| ~ sP0
| ~ spl4_107 ),
inference(forward_demodulation,[],[f119,f884]) ).
fof(f884,plain,
( op(e0,e0) = e3
| ~ spl4_107 ),
inference(avatar_component_clause,[],[f883]) ).
fof(f119,plain,
( op(e0,e0) = e2
| e0 != op(e0,e2)
| ~ sP0 ),
inference(cnf_transformation,[],[f62]) ).
fof(f16212,plain,
( spl4_13
| spl4_4
| spl4_2
| ~ spl4_83
| ~ spl4_87
| ~ spl4_108 ),
inference(avatar_split_clause,[],[f16143,f902,f722,f704,f312,f322,f364]) ).
fof(f364,plain,
( spl4_13
<=> e2 = op(e2,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_13])]) ).
fof(f902,plain,
( spl4_108
<=> e0 = op(e1,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_108])]) ).
fof(f16143,plain,
( e0 = e2
| e1 = e2
| e2 = op(e2,e2)
| ~ spl4_83
| ~ spl4_87
| ~ spl4_108 ),
inference(duplicate_literal_removal,[],[f16142]) ).
fof(f16142,plain,
( e0 = e2
| e1 = e2
| e0 = e2
| e2 = op(e2,e2)
| ~ spl4_83
| ~ spl4_87
| ~ spl4_108 ),
inference(forward_demodulation,[],[f15896,f904]) ).
fof(f904,plain,
( e0 = op(e1,e2)
| ~ spl4_108 ),
inference(avatar_component_clause,[],[f902]) ).
fof(f15896,plain,
( e1 = e2
| e0 = e2
| e2 = op(e2,e2)
| e2 = op(e1,e2)
| ~ spl4_83
| ~ spl4_87 ),
inference(forward_demodulation,[],[f6037,f705]) ).
fof(f16088,plain,
( spl4_112
| spl4_4
| spl4_6
| ~ spl4_69
| ~ spl4_73
| ~ spl4_74 ),
inference(avatar_split_clause,[],[f15607,f663,f659,f641,f332,f322,f993]) ).
fof(f15607,plain,
( e2 = e3
| e1 = e2
| e2 = op(e1,e2)
| ~ spl4_69
| ~ spl4_73
| ~ spl4_74 ),
inference(forward_demodulation,[],[f15606,f665]) ).
fof(f15606,plain,
( e1 = e2
| e2 = op(e1,e2)
| e2 = op(e1,e1)
| ~ spl4_69
| ~ spl4_73 ),
inference(duplicate_literal_removal,[],[f15605]) ).
fof(f15605,plain,
( e1 = e2
| e1 = e2
| e2 = op(e1,e2)
| e2 = op(e1,e1)
| ~ spl4_69
| ~ spl4_73 ),
inference(forward_demodulation,[],[f14951,f660]) ).
fof(f14951,plain,
( e1 = e2
| e2 = op(e1,e3)
| e2 = op(e1,e2)
| e2 = op(e1,e1)
| ~ spl4_69 ),
inference(forward_demodulation,[],[f198,f642]) ).
fof(f16025,plain,
( ~ spl4_10
| ~ spl4_110
| spl4_4
| ~ spl4_67 ),
inference(avatar_split_clause,[],[f15930,f632,f322,f922,f349]) ).
fof(f922,plain,
( spl4_110
<=> e3 = op(e0,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_110])]) ).
fof(f15930,plain,
( e1 = e2
| e3 != op(e0,e2)
| ~ sP3
| ~ spl4_67 ),
inference(forward_demodulation,[],[f71,f633]) ).
fof(f71,plain,
( e2 = op(e0,e3)
| e3 != op(e0,e2)
| ~ sP3 ),
inference(cnf_transformation,[],[f59]) ).
fof(f16024,plain,
( ~ spl4_83
| ~ spl4_103
| ~ spl4_110 ),
inference(avatar_split_clause,[],[f15939,f922,f835,f704]) ).
fof(f835,plain,
( spl4_103
<=> e0 = op(e2,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_103])]) ).
fof(f15939,plain,
( e1 != op(e3,e2)
| ~ spl4_103
| ~ spl4_110 ),
inference(trivial_inequality_removal,[],[f15938]) ).
fof(f15938,plain,
( e0 != e0
| e1 != op(e3,e2)
| ~ spl4_103
| ~ spl4_110 ),
inference(forward_demodulation,[],[f13659,f836]) ).
fof(f836,plain,
( e0 = op(e2,e2)
| ~ spl4_103 ),
inference(avatar_component_clause,[],[f835]) ).
fof(f13659,plain,
( e0 != op(e2,e2)
| e1 != op(e3,e2)
| ~ spl4_110 ),
inference(trivial_inequality_removal,[],[f7564]) ).
fof(f7564,plain,
( e3 != e3
| e0 != op(e2,e2)
| e1 != op(e3,e2)
| ~ spl4_110 ),
inference(forward_demodulation,[],[f289,f924]) ).
fof(f924,plain,
( e3 = op(e0,e2)
| ~ spl4_110 ),
inference(avatar_component_clause,[],[f922]) ).
fof(f289,plain,
( e0 != op(e2,e2)
| e3 != op(e0,e2)
| e1 != op(e3,e2) ),
inference(inner_rewriting,[],[f288]) ).
fof(f288,plain,
( e0 != op(e2,e2)
| e3 != op(e0,e2)
| e1 != op(op(e0,e2),e2) ),
inference(inner_rewriting,[],[f249]) ).
fof(f249,plain,
( e0 != op(e2,e2)
| e3 != op(op(e2,e2),e2)
| e1 != op(op(op(e2,e2),e2),e2) ),
inference(cnf_transformation,[],[f45]) ).
fof(f45,plain,
( e0 != op(e2,e2)
| e3 != op(op(e2,e2),e2)
| e1 != op(op(op(e2,e2),e2),e2) ),
inference(ennf_transformation,[],[f21]) ).
fof(f21,axiom,
~ ( e0 = op(e2,e2)
& e3 = op(op(e2,e2),e2)
& e1 = op(op(op(e2,e2),e2),e2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax21) ).
fof(f15961,plain,
( ~ spl4_10
| spl4_3
| ~ spl4_120
| ~ spl4_121 ),
inference(avatar_split_clause,[],[f15932,f1576,f1572,f317,f349]) ).
fof(f15932,plain,
( e0 = e3
| ~ sP3
| ~ spl4_120
| ~ spl4_121 ),
inference(forward_demodulation,[],[f15922,f1578]) ).
fof(f15922,plain,
( e0 = op(e2,e3)
| ~ sP3
| ~ spl4_120 ),
inference(trivial_inequality_removal,[],[f13338]) ).
fof(f13338,plain,
( e3 != e3
| e0 = op(e2,e3)
| ~ sP3
| ~ spl4_120 ),
inference(forward_demodulation,[],[f77,f1574]) ).
fof(f77,plain,
( e0 = op(e2,e3)
| e3 != op(e2,e0)
| ~ sP3 ),
inference(cnf_transformation,[],[f59]) ).
fof(f15909,plain,
( spl4_4
| ~ spl4_66
| ~ spl4_67
| ~ spl4_111 ),
inference(avatar_split_clause,[],[f15908,f926,f632,f627,f322]) ).
fof(f627,plain,
( spl4_66
<=> e2 = op(e0,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_66])]) ).
fof(f15908,plain,
( e1 = e2
| ~ spl4_66
| ~ spl4_67
| ~ spl4_111 ),
inference(forward_demodulation,[],[f629,f14738]) ).
fof(f14738,plain,
( e1 = op(e0,e1)
| ~ spl4_67
| ~ spl4_111 ),
inference(forward_demodulation,[],[f633,f10428]) ).
fof(f629,plain,
( e2 = op(e0,e1)
| ~ spl4_66 ),
inference(avatar_component_clause,[],[f627]) ).
fof(f15811,plain,
( spl4_82
| spl4_97
| spl4_1
| ~ spl4_81
| ~ spl4_83 ),
inference(avatar_split_clause,[],[f13966,f704,f695,f307,f808,f699]) ).
fof(f13966,plain,
( e0 = e1
| e0 = op(e3,e3)
| e0 = op(e3,e1)
| ~ spl4_81
| ~ spl4_83 ),
inference(duplicate_literal_removal,[],[f9661]) ).
fof(f9661,plain,
( e0 = e1
| e0 = e1
| e0 = op(e3,e3)
| e0 = op(e3,e1)
| ~ spl4_81
| ~ spl4_83 ),
inference(forward_demodulation,[],[f4042,f696]) ).
fof(f4042,plain,
( e0 = e1
| e0 = op(e3,e3)
| e0 = op(e3,e1)
| e0 = op(e3,e0)
| ~ spl4_83 ),
inference(forward_demodulation,[],[f210,f705]) ).
fof(f15721,plain,
( spl4_98
| spl4_1
| spl4_2
| ~ spl4_75
| ~ spl4_77
| ~ spl4_78 ),
inference(avatar_split_clause,[],[f15674,f681,f677,f668,f312,f307,f813]) ).
fof(f15674,plain,
( e0 = e2
| e0 = e1
| e0 = op(e2,e3)
| ~ spl4_75
| ~ spl4_77
| ~ spl4_78 ),
inference(forward_demodulation,[],[f15673,f683]) ).
fof(f15673,plain,
( e0 = e1
| e0 = op(e2,e3)
| e0 = op(e2,e1)
| ~ spl4_75
| ~ spl4_77 ),
inference(duplicate_literal_removal,[],[f15672]) ).
fof(f15672,plain,
( e0 = e1
| e0 = e1
| e0 = op(e2,e3)
| e0 = op(e2,e1)
| ~ spl4_75
| ~ spl4_77 ),
inference(forward_demodulation,[],[f9156,f678]) ).
fof(f15641,plain,
( spl4_6
| spl4_5
| spl4_3
| ~ spl4_91
| ~ spl4_99
| ~ spl4_100
| ~ spl4_113 ),
inference(avatar_split_clause,[],[f15575,f1022,f822,f817,f742,f317,f327,f332]) ).
fof(f742,plain,
( spl4_91
<=> e0 = op(e3,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_91])]) ).
fof(f15575,plain,
( e0 = e3
| e1 = e3
| e2 = e3
| ~ spl4_91
| ~ spl4_99
| ~ spl4_100
| ~ spl4_113 ),
inference(duplicate_literal_removal,[],[f15574]) ).
fof(f15574,plain,
( e0 = e3
| e1 = e3
| e0 = e3
| e2 = e3
| ~ spl4_91
| ~ spl4_99
| ~ spl4_100
| ~ spl4_113 ),
inference(forward_demodulation,[],[f15573,f744]) ).
fof(f744,plain,
( e0 = op(e3,e0)
| ~ spl4_91 ),
inference(avatar_component_clause,[],[f742]) ).
fof(f15573,plain,
( e1 = e3
| e0 = e3
| e2 = e3
| e3 = op(e3,e0)
| ~ spl4_99
| ~ spl4_100
| ~ spl4_113 ),
inference(forward_demodulation,[],[f14912,f1024]) ).
fof(f14912,plain,
( e0 = e3
| e2 = e3
| e3 = op(e3,e1)
| e3 = op(e3,e0)
| ~ spl4_99
| ~ spl4_100 ),
inference(forward_demodulation,[],[f14200,f823]) ).
fof(f14200,plain,
( e2 = e3
| e3 = op(e3,e2)
| e3 = op(e3,e1)
| e3 = op(e3,e0)
| ~ spl4_99 ),
inference(forward_demodulation,[],[f216,f818]) ).
fof(f818,plain,
( e2 = op(e3,e3)
| ~ spl4_99 ),
inference(avatar_component_clause,[],[f817]) ).
fof(f15542,plain,
( ~ spl4_9
| spl4_103
| ~ spl4_105 ),
inference(avatar_split_clause,[],[f15539,f856,f835,f345]) ).
fof(f345,plain,
( spl4_9
<=> sP2 ),
introduced(avatar_definition,[new_symbols(naming,[spl4_9])]) ).
fof(f15539,plain,
( e0 = op(e2,e2)
| ~ sP2
| ~ spl4_105 ),
inference(trivial_inequality_removal,[],[f15538]) ).
fof(f15538,plain,
( e2 != e2
| e0 = op(e2,e2)
| ~ sP2
| ~ spl4_105 ),
inference(forward_demodulation,[],[f93,f858]) ).
fof(f858,plain,
( e2 = op(e2,e0)
| ~ spl4_105 ),
inference(avatar_component_clause,[],[f856]) ).
fof(f93,plain,
( e0 = op(e2,e2)
| e2 != op(e2,e0)
| ~ sP2 ),
inference(cnf_transformation,[],[f60]) ).
fof(f60,plain,
( ( ( e3 = op(e3,e2)
| e2 != op(e3,e3) )
& ( e2 = op(e3,e2)
| e2 != op(e3,e2) )
& ( e1 = op(e3,e2)
| e2 != op(e3,e1) )
& ( e0 = op(e3,e2)
| e2 != op(e3,e0) )
& ( e3 = op(e2,e2)
| e2 != op(e2,e3) )
& ( e2 = op(e2,e2)
| e2 != op(e2,e2) )
& ( e1 = op(e2,e2)
| e2 != op(e2,e1) )
& ( e0 = op(e2,e2)
| e2 != op(e2,e0) )
& ( e3 = op(e1,e2)
| e2 != op(e1,e3) )
& ( e2 = op(e1,e2)
| e2 != op(e1,e2) )
& ( e1 = op(e1,e2)
| e2 != op(e1,e1) )
& ( e0 = op(e1,e2)
| e2 != op(e1,e0) )
& ( e3 = op(e0,e2)
| e2 != op(e0,e3) )
& ( e2 = op(e0,e2)
| e2 != op(e0,e2) )
& ( e1 = op(e0,e2)
| e2 != op(e0,e1) )
& ( e0 = op(e0,e2)
| op(e0,e0) != e2 ) )
| ~ sP2 ),
inference(nnf_transformation,[],[f56]) ).
fof(f56,plain,
( ( ( e3 = op(e3,e2)
| e2 != op(e3,e3) )
& ( e2 = op(e3,e2)
| e2 != op(e3,e2) )
& ( e1 = op(e3,e2)
| e2 != op(e3,e1) )
& ( e0 = op(e3,e2)
| e2 != op(e3,e0) )
& ( e3 = op(e2,e2)
| e2 != op(e2,e3) )
& ( e2 = op(e2,e2)
| e2 != op(e2,e2) )
& ( e1 = op(e2,e2)
| e2 != op(e2,e1) )
& ( e0 = op(e2,e2)
| e2 != op(e2,e0) )
& ( e3 = op(e1,e2)
| e2 != op(e1,e3) )
& ( e2 = op(e1,e2)
| e2 != op(e1,e2) )
& ( e1 = op(e1,e2)
| e2 != op(e1,e1) )
& ( e0 = op(e1,e2)
| e2 != op(e1,e0) )
& ( e3 = op(e0,e2)
| e2 != op(e0,e3) )
& ( e2 = op(e0,e2)
| e2 != op(e0,e2) )
& ( e1 = op(e0,e2)
| e2 != op(e0,e1) )
& ( e0 = op(e0,e2)
| op(e0,e0) != e2 ) )
| ~ sP2 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP2])]) ).
fof(f15537,plain,
( ~ spl4_9
| ~ spl4_105
| spl4_1
| ~ spl4_77 ),
inference(avatar_split_clause,[],[f15519,f677,f307,f856,f345]) ).
fof(f15519,plain,
( e0 = e1
| e2 != op(e2,e0)
| ~ sP2
| ~ spl4_77 ),
inference(forward_demodulation,[],[f93,f678]) ).
fof(f15512,plain,
( spl4_82
| spl4_2
| spl4_3
| ~ spl4_68
| ~ spl4_74
| ~ spl4_78 ),
inference(avatar_split_clause,[],[f15471,f681,f663,f636,f317,f312,f699]) ).
fof(f15471,plain,
( e0 = e3
| e0 = e2
| e0 = op(e3,e1)
| ~ spl4_68
| ~ spl4_74
| ~ spl4_78 ),
inference(duplicate_literal_removal,[],[f15470]) ).
fof(f15470,plain,
( e0 = e3
| e0 = e2
| e0 = e3
| e0 = op(e3,e1)
| ~ spl4_68
| ~ spl4_74
| ~ spl4_78 ),
inference(forward_demodulation,[],[f10030,f638]) ).
fof(f10030,plain,
( e0 = e2
| e0 = e3
| e0 = op(e3,e1)
| e0 = op(e0,e1)
| ~ spl4_74
| ~ spl4_78 ),
inference(forward_demodulation,[],[f5647,f683]) ).
fof(f5647,plain,
( e0 = e3
| e0 = op(e3,e1)
| e0 = op(e2,e1)
| e0 = op(e0,e1)
| ~ spl4_74 ),
inference(forward_demodulation,[],[f195,f665]) ).
fof(f15510,plain,
( ~ spl4_64
| spl4_43
| ~ spl4_88 ),
inference(avatar_split_clause,[],[f6938,f726,f514,f618]) ).
fof(f514,plain,
( spl4_43
<=> op(e0,e1) = op(e0,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_43])]) ).
fof(f726,plain,
( spl4_88
<=> e0 = op(e0,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_88])]) ).
fof(f6938,plain,
( e0 != op(e0,e1)
| spl4_43
| ~ spl4_88 ),
inference(superposition,[],[f516,f728]) ).
fof(f728,plain,
( e0 = op(e0,e3)
| ~ spl4_88 ),
inference(avatar_component_clause,[],[f726]) ).
fof(f516,plain,
( op(e0,e1) != op(e0,e3)
| spl4_43 ),
inference(avatar_component_clause,[],[f514]) ).
fof(f15503,plain,
( spl4_113
| spl4_4
| spl4_5
| ~ spl4_68
| ~ spl4_74
| ~ spl4_78 ),
inference(avatar_split_clause,[],[f15468,f681,f663,f636,f327,f322,f1022]) ).
fof(f15468,plain,
( e1 = e3
| e1 = e2
| e1 = op(e3,e1)
| ~ spl4_68
| ~ spl4_74
| ~ spl4_78 ),
inference(duplicate_literal_removal,[],[f15467]) ).
fof(f15467,plain,
( e1 = e3
| e1 = e2
| e1 = e3
| e1 = op(e3,e1)
| ~ spl4_68
| ~ spl4_74
| ~ spl4_78 ),
inference(forward_demodulation,[],[f8237,f638]) ).
fof(f8237,plain,
( e1 = e2
| e1 = e3
| e1 = op(e3,e1)
| e1 = op(e0,e1)
| ~ spl4_74
| ~ spl4_78 ),
inference(forward_demodulation,[],[f7422,f683]) ).
fof(f7422,plain,
( e1 = e3
| e1 = op(e3,e1)
| e1 = op(e2,e1)
| e1 = op(e0,e1)
| ~ spl4_74 ),
inference(forward_demodulation,[],[f197,f665]) ).
fof(f15463,plain,
( spl4_2
| ~ spl4_108
| ~ spl4_112 ),
inference(avatar_split_clause,[],[f7690,f993,f902,f312]) ).
fof(f7690,plain,
( e0 = e2
| ~ spl4_108
| ~ spl4_112 ),
inference(superposition,[],[f904,f995]) ).
fof(f15308,plain,
( spl4_72
| spl4_84
| spl4_6
| spl4_4
| ~ spl4_68
| ~ spl4_118 ),
inference(avatar_split_clause,[],[f9781,f1532,f636,f322,f332,f708,f654]) ).
fof(f9781,plain,
( e1 = e2
| e2 = e3
| e2 = op(e3,e1)
| e2 = op(e1,e1)
| ~ spl4_68
| ~ spl4_118 ),
inference(forward_demodulation,[],[f6730,f1534]) ).
fof(f6730,plain,
( e2 = e3
| e2 = op(e3,e1)
| e2 = op(e2,e1)
| e2 = op(e1,e1)
| ~ spl4_68 ),
inference(forward_demodulation,[],[f199,f638]) ).
fof(f15297,plain,
( spl4_118
| spl4_79
| spl4_1
| spl4_4
| ~ spl4_103
| ~ spl4_105 ),
inference(avatar_split_clause,[],[f8926,f856,f835,f322,f307,f686,f1532]) ).
fof(f8926,plain,
( e1 = e2
| e0 = e1
| e1 = op(e2,e3)
| e1 = op(e2,e1)
| ~ spl4_103
| ~ spl4_105 ),
inference(forward_demodulation,[],[f7310,f858]) ).
fof(f7310,plain,
( e0 = e1
| e1 = op(e2,e3)
| e1 = op(e2,e1)
| e1 = op(e2,e0)
| ~ spl4_103 ),
inference(forward_demodulation,[],[f204,f836]) ).
fof(f204,plain,
( e1 = op(e2,e3)
| e1 = op(e2,e2)
| e1 = op(e2,e1)
| e1 = op(e2,e0) ),
inference(cnf_transformation,[],[f2]) ).
fof(f15265,plain,
( spl4_79
| spl4_1
| spl4_4
| ~ spl4_76
| ~ spl4_103
| ~ spl4_105 ),
inference(avatar_split_clause,[],[f15200,f856,f835,f672,f322,f307,f686]) ).
fof(f15200,plain,
( e1 = e2
| e0 = e1
| e1 = op(e2,e3)
| ~ spl4_76
| ~ spl4_103
| ~ spl4_105 ),
inference(forward_demodulation,[],[f4844,f858]) ).
fof(f4844,plain,
( e0 = e1
| e1 = op(e2,e3)
| e1 = op(e2,e0)
| ~ spl4_76
| ~ spl4_103 ),
inference(duplicate_literal_removal,[],[f4843]) ).
fof(f4843,plain,
( e0 = e1
| e0 = e1
| e1 = op(e2,e3)
| e1 = op(e2,e0)
| ~ spl4_76
| ~ spl4_103 ),
inference(forward_demodulation,[],[f1367,f836]) ).
fof(f1367,plain,
( e0 = e1
| e1 = op(e2,e3)
| e1 = op(e2,e2)
| e1 = op(e2,e0)
| ~ spl4_76 ),
inference(forward_demodulation,[],[f204,f674]) ).
fof(f15174,plain,
( ~ spl4_10
| spl4_4
| ~ spl4_73
| ~ spl4_102 ),
inference(avatar_split_clause,[],[f15124,f831,f659,f322,f349]) ).
fof(f15124,plain,
( e1 = e2
| ~ sP3
| ~ spl4_73
| ~ spl4_102 ),
inference(forward_demodulation,[],[f14163,f660]) ).
fof(f14163,plain,
( e2 = op(e1,e3)
| ~ sP3
| ~ spl4_102 ),
inference(trivial_inequality_removal,[],[f9542]) ).
fof(f9542,plain,
( e3 != e3
| e2 = op(e1,e3)
| ~ sP3
| ~ spl4_102 ),
inference(forward_demodulation,[],[f75,f832]) ).
fof(f75,plain,
( e2 = op(e1,e3)
| e3 != op(e1,e2)
| ~ sP3 ),
inference(cnf_transformation,[],[f59]) ).
fof(f15097,plain,
( spl4_6
| spl4_2
| spl4_4
| ~ spl4_69
| ~ spl4_73
| ~ spl4_74
| ~ spl4_108 ),
inference(avatar_split_clause,[],[f15010,f902,f663,f659,f641,f322,f312,f332]) ).
fof(f15010,plain,
( e1 = e2
| e0 = e2
| e2 = e3
| ~ spl4_69
| ~ spl4_73
| ~ spl4_74
| ~ spl4_108 ),
inference(duplicate_literal_removal,[],[f15009]) ).
fof(f15009,plain,
( e1 = e2
| e0 = e2
| e1 = e2
| e2 = e3
| ~ spl4_69
| ~ spl4_73
| ~ spl4_74
| ~ spl4_108 ),
inference(forward_demodulation,[],[f15008,f642]) ).
fof(f15008,plain,
( e0 = e2
| e1 = e2
| e2 = e3
| e2 = op(e1,e0)
| ~ spl4_73
| ~ spl4_74
| ~ spl4_108 ),
inference(forward_demodulation,[],[f8691,f904]) ).
fof(f8691,plain,
( e1 = e2
| e2 = e3
| e2 = op(e1,e2)
| e2 = op(e1,e0)
| ~ spl4_73
| ~ spl4_74 ),
inference(forward_demodulation,[],[f7937,f660]) ).
fof(f7937,plain,
( e2 = e3
| e2 = op(e1,e3)
| e2 = op(e1,e2)
| e2 = op(e1,e0)
| ~ spl4_74 ),
inference(forward_demodulation,[],[f198,f665]) ).
fof(f15080,plain,
( spl4_5
| spl4_6
| ~ spl4_99
| ~ spl4_106
| ~ spl4_113
| ~ spl4_119 ),
inference(avatar_split_clause,[],[f14970,f1566,f1022,f860,f817,f332,f327]) ).
fof(f14970,plain,
( e2 = e3
| e1 = e3
| ~ spl4_99
| ~ spl4_106
| ~ spl4_113
| ~ spl4_119 ),
inference(duplicate_literal_removal,[],[f14969]) ).
fof(f14969,plain,
( e2 = e3
| e2 = e3
| e1 = e3
| ~ spl4_99
| ~ spl4_106
| ~ spl4_113
| ~ spl4_119 ),
inference(forward_demodulation,[],[f14769,f1568]) ).
fof(f14769,plain,
( e2 = e3
| e1 = e3
| e3 = op(e3,e2)
| ~ spl4_99
| ~ spl4_106
| ~ spl4_113 ),
inference(duplicate_literal_removal,[],[f14768]) ).
fof(f14768,plain,
( e2 = e3
| e1 = e3
| e2 = e3
| e3 = op(e3,e2)
| ~ spl4_99
| ~ spl4_106
| ~ spl4_113 ),
inference(forward_demodulation,[],[f7321,f818]) ).
fof(f7321,plain,
( e1 = e3
| e2 = e3
| e3 = op(e3,e3)
| e3 = op(e3,e2)
| ~ spl4_106
| ~ spl4_113 ),
inference(forward_demodulation,[],[f2204,f1024]) ).
fof(f2204,plain,
( e2 = e3
| e3 = op(e3,e3)
| e3 = op(e3,e2)
| e3 = op(e3,e1)
| ~ spl4_106 ),
inference(forward_demodulation,[],[f216,f862]) ).
fof(f14934,plain,
( spl4_86
| spl4_3
| spl4_6
| ~ spl4_99
| ~ spl4_100
| ~ spl4_106 ),
inference(avatar_split_clause,[],[f14909,f860,f822,f817,f332,f317,f717]) ).
fof(f14909,plain,
( e2 = e3
| e0 = e3
| e3 = op(e3,e1)
| ~ spl4_99
| ~ spl4_100
| ~ spl4_106 ),
inference(duplicate_literal_removal,[],[f14908]) ).
fof(f14908,plain,
( e2 = e3
| e2 = e3
| e0 = e3
| e3 = op(e3,e1)
| ~ spl4_99
| ~ spl4_100
| ~ spl4_106 ),
inference(forward_demodulation,[],[f14792,f862]) ).
fof(f14792,plain,
( e2 = e3
| e0 = e3
| e3 = op(e3,e1)
| e3 = op(e3,e0)
| ~ spl4_99
| ~ spl4_100 ),
inference(forward_demodulation,[],[f2999,f818]) ).
fof(f2999,plain,
( e0 = e3
| e3 = op(e3,e3)
| e3 = op(e3,e1)
| e3 = op(e3,e0)
| ~ spl4_100 ),
inference(forward_demodulation,[],[f216,f823]) ).
fof(f14919,plain,
( ~ spl4_7
| ~ spl4_76
| spl4_75 ),
inference(avatar_split_clause,[],[f126,f668,f672,f337]) ).
fof(f126,plain,
( e1 = op(e2,e0)
| e0 != op(e2,e1)
| ~ sP0 ),
inference(cnf_transformation,[],[f62]) ).
fof(f14898,plain,
( spl4_3
| spl4_5
| spl4_6
| ~ spl4_99
| ~ spl4_100
| ~ spl4_106
| ~ spl4_113 ),
inference(avatar_split_clause,[],[f14778,f1022,f860,f822,f817,f332,f327,f317]) ).
fof(f14778,plain,
( e2 = e3
| e1 = e3
| e0 = e3
| ~ spl4_99
| ~ spl4_100
| ~ spl4_106
| ~ spl4_113 ),
inference(duplicate_literal_removal,[],[f14777]) ).
fof(f14777,plain,
( e2 = e3
| e2 = e3
| e1 = e3
| e0 = e3
| ~ spl4_99
| ~ spl4_100
| ~ spl4_106
| ~ spl4_113 ),
inference(forward_demodulation,[],[f14776,f862]) ).
fof(f14776,plain,
( e2 = e3
| e1 = e3
| e0 = e3
| e3 = op(e3,e0)
| ~ spl4_99
| ~ spl4_100
| ~ spl4_113 ),
inference(forward_demodulation,[],[f14499,f818]) ).
fof(f14499,plain,
( e1 = e3
| e0 = e3
| e3 = op(e3,e3)
| e3 = op(e3,e0)
| ~ spl4_100
| ~ spl4_113 ),
inference(forward_demodulation,[],[f2999,f1024]) ).
fof(f14740,plain,
( spl4_1
| ~ spl4_64
| ~ spl4_67
| ~ spl4_111 ),
inference(avatar_split_clause,[],[f14739,f926,f632,f618,f307]) ).
fof(f14739,plain,
( e0 = e1
| ~ spl4_64
| ~ spl4_67
| ~ spl4_111 ),
inference(forward_demodulation,[],[f14738,f620]) ).
fof(f620,plain,
( e0 = op(e0,e1)
| ~ spl4_64 ),
inference(avatar_component_clause,[],[f618]) ).
fof(f14617,plain,
( ~ spl4_10
| spl4_4
| ~ spl4_79
| ~ spl4_101 ),
inference(avatar_split_clause,[],[f14573,f826,f686,f322,f349]) ).
fof(f14573,plain,
( e1 = e2
| ~ sP3
| ~ spl4_79
| ~ spl4_101 ),
inference(forward_demodulation,[],[f14555,f687]) ).
fof(f14555,plain,
( e2 = op(e2,e3)
| ~ sP3
| ~ spl4_101 ),
inference(trivial_inequality_removal,[],[f9693]) ).
fof(f9693,plain,
( e3 != e3
| e2 = op(e2,e3)
| ~ sP3
| ~ spl4_101 ),
inference(forward_demodulation,[],[f79,f827]) ).
fof(f79,plain,
( e2 = op(e2,e3)
| e3 != op(e2,e2)
| ~ sP3 ),
inference(cnf_transformation,[],[f59]) ).
fof(f14568,plain,
( spl4_98
| spl4_3
| spl4_2
| ~ spl4_78
| ~ spl4_101
| ~ spl4_120 ),
inference(avatar_split_clause,[],[f14558,f1572,f826,f681,f312,f317,f813]) ).
fof(f14558,plain,
( e0 = e2
| e0 = e3
| e0 = op(e2,e3)
| ~ spl4_78
| ~ spl4_101
| ~ spl4_120 ),
inference(forward_demodulation,[],[f14557,f683]) ).
fof(f14557,plain,
( e0 = e3
| e0 = op(e2,e3)
| e0 = op(e2,e1)
| ~ spl4_101
| ~ spl4_120 ),
inference(duplicate_literal_removal,[],[f12901]) ).
fof(f12901,plain,
( e0 = e3
| e0 = e3
| e0 = op(e2,e3)
| e0 = op(e2,e1)
| ~ spl4_101
| ~ spl4_120 ),
inference(forward_demodulation,[],[f4733,f827]) ).
fof(f14553,plain,
( spl4_101
| spl4_3
| spl4_5
| spl4_6
| ~ spl4_71
| ~ spl4_94
| ~ spl4_100 ),
inference(avatar_split_clause,[],[f13190,f822,f762,f650,f332,f327,f317,f826]) ).
fof(f762,plain,
( spl4_94
<=> e2 = op(e0,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_94])]) ).
fof(f13190,plain,
( e2 = e3
| e1 = e3
| e0 = e3
| e3 = op(e2,e2)
| ~ spl4_71
| ~ spl4_94
| ~ spl4_100 ),
inference(forward_demodulation,[],[f1351,f764]) ).
fof(f764,plain,
( e2 = op(e0,e2)
| ~ spl4_94 ),
inference(avatar_component_clause,[],[f762]) ).
fof(f1351,plain,
( e1 = e3
| e0 = e3
| e3 = op(e2,e2)
| e3 = op(e0,e2)
| ~ spl4_71
| ~ spl4_100 ),
inference(forward_demodulation,[],[f1216,f651]) ).
fof(f14453,plain,
( ~ spl4_113
| spl4_60
| ~ spl4_83 ),
inference(avatar_split_clause,[],[f5915,f704,f599,f1022]) ).
fof(f5915,plain,
( e1 != op(e3,e1)
| spl4_60
| ~ spl4_83 ),
inference(superposition,[],[f601,f705]) ).
fof(f14369,plain,
( ~ spl4_10
| spl4_1
| ~ spl4_73
| ~ spl4_116 ),
inference(avatar_split_clause,[],[f14359,f1069,f659,f307,f349]) ).
fof(f14359,plain,
( e0 = e1
| ~ sP3
| ~ spl4_73
| ~ spl4_116 ),
inference(trivial_inequality_removal,[],[f14358]) ).
fof(f14358,plain,
( e3 != e3
| e0 = e1
| ~ sP3
| ~ spl4_73
| ~ spl4_116 ),
inference(forward_demodulation,[],[f13459,f1071]) ).
fof(f13459,plain,
( e0 = e1
| e3 != op(e1,e0)
| ~ sP3
| ~ spl4_73 ),
inference(forward_demodulation,[],[f73,f660]) ).
fof(f14265,plain,
( ~ spl4_7
| spl4_5
| ~ spl4_64
| ~ spl4_107 ),
inference(avatar_split_clause,[],[f14263,f883,f618,f327,f337]) ).
fof(f14263,plain,
( e1 = e3
| ~ sP0
| ~ spl4_64
| ~ spl4_107 ),
inference(trivial_inequality_removal,[],[f14262]) ).
fof(f14262,plain,
( e0 != e0
| e1 = e3
| ~ sP0
| ~ spl4_64
| ~ spl4_107 ),
inference(forward_demodulation,[],[f9168,f620]) ).
fof(f9168,plain,
( e1 = e3
| e0 != op(e0,e1)
| ~ sP0
| ~ spl4_107 ),
inference(forward_demodulation,[],[f118,f884]) ).
fof(f118,plain,
( op(e0,e0) = e1
| e0 != op(e0,e1)
| ~ sP0 ),
inference(cnf_transformation,[],[f62]) ).
fof(f14227,plain,
( spl4_71
| ~ spl4_67
| ~ spl4_102
| ~ spl4_111 ),
inference(avatar_split_clause,[],[f14219,f926,f831,f632,f650]) ).
fof(f14219,plain,
( e1 = op(e1,e2)
| ~ spl4_67
| ~ spl4_102
| ~ spl4_111 ),
inference(forward_demodulation,[],[f832,f10428]) ).
fof(f14159,plain,
( spl4_97
| spl4_1
| spl4_3
| ~ spl4_67
| ~ spl4_79
| ~ spl4_117 ),
inference(avatar_split_clause,[],[f11868,f1073,f686,f632,f317,f307,f808]) ).
fof(f11868,plain,
( e0 = e3
| e0 = e1
| e0 = op(e3,e3)
| ~ spl4_67
| ~ spl4_79
| ~ spl4_117 ),
inference(forward_demodulation,[],[f11867,f1075]) ).
fof(f11867,plain,
( e0 = e1
| e0 = op(e3,e3)
| e0 = op(e1,e3)
| ~ spl4_67
| ~ spl4_79 ),
inference(duplicate_literal_removal,[],[f11866]) ).
fof(f11866,plain,
( e0 = e1
| e0 = e1
| e0 = op(e3,e3)
| e0 = op(e1,e3)
| ~ spl4_67
| ~ spl4_79 ),
inference(forward_demodulation,[],[f6178,f687]) ).
fof(f14158,plain,
( ~ spl4_9
| ~ spl4_84
| spl4_83 ),
inference(avatar_split_clause,[],[f98,f704,f708,f345]) ).
fof(f98,plain,
( e1 = op(e3,e2)
| e2 != op(e3,e1)
| ~ sP2 ),
inference(cnf_transformation,[],[f60]) ).
fof(f14157,plain,
( ~ spl4_9
| ~ spl4_84
| spl4_5
| ~ spl4_115 ),
inference(avatar_split_clause,[],[f13667,f1064,f327,f708,f345]) ).
fof(f1064,plain,
( spl4_115
<=> e3 = op(e3,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_115])]) ).
fof(f13667,plain,
( e1 = e3
| e2 != op(e3,e1)
| ~ sP2
| ~ spl4_115 ),
inference(forward_demodulation,[],[f98,f1065]) ).
fof(f1065,plain,
( e3 = op(e3,e2)
| ~ spl4_115 ),
inference(avatar_component_clause,[],[f1064]) ).
fof(f14061,plain,
( ~ spl4_88
| spl4_35
| ~ spl4_97 ),
inference(avatar_split_clause,[],[f8367,f808,f474,f726]) ).
fof(f474,plain,
( spl4_35
<=> op(e0,e3) = op(e3,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_35])]) ).
fof(f8367,plain,
( e0 != op(e0,e3)
| spl4_35
| ~ spl4_97 ),
inference(superposition,[],[f476,f809]) ).
fof(f476,plain,
( op(e0,e3) != op(e3,e3)
| spl4_35 ),
inference(avatar_component_clause,[],[f474]) ).
fof(f14059,plain,
( ~ spl4_7
| ~ spl4_97
| spl4_5
| ~ spl4_81 ),
inference(avatar_split_clause,[],[f14028,f695,f327,f808,f337]) ).
fof(f14028,plain,
( e1 = e3
| e0 != op(e3,e3)
| ~ sP0
| ~ spl4_81 ),
inference(forward_demodulation,[],[f132,f696]) ).
fof(f132,plain,
( e3 = op(e3,e0)
| e0 != op(e3,e3)
| ~ sP0 ),
inference(cnf_transformation,[],[f62]) ).
fof(f14025,plain,
( spl4_97
| spl4_2
| spl4_1
| ~ spl4_81
| ~ spl4_83
| ~ spl4_84 ),
inference(avatar_split_clause,[],[f14002,f708,f704,f695,f307,f312,f808]) ).
fof(f14002,plain,
( e0 = e1
| e0 = e2
| e0 = op(e3,e3)
| ~ spl4_81
| ~ spl4_83
| ~ spl4_84 ),
inference(duplicate_literal_removal,[],[f14001]) ).
fof(f14001,plain,
( e0 = e1
| e0 = e2
| e0 = e1
| e0 = op(e3,e3)
| ~ spl4_81
| ~ spl4_83
| ~ spl4_84 ),
inference(forward_demodulation,[],[f11342,f696]) ).
fof(f11342,plain,
( e0 = e2
| e0 = e1
| e0 = op(e3,e3)
| e0 = op(e3,e0)
| ~ spl4_83
| ~ spl4_84 ),
inference(forward_demodulation,[],[f5905,f710]) ).
fof(f710,plain,
( e2 = op(e3,e1)
| ~ spl4_84 ),
inference(avatar_component_clause,[],[f708]) ).
fof(f5905,plain,
( e0 = e1
| e0 = op(e3,e3)
| e0 = op(e3,e1)
| e0 = op(e3,e0)
| ~ spl4_83 ),
inference(forward_demodulation,[],[f210,f705]) ).
fof(f13965,plain,
( spl4_97
| spl4_1
| spl4_3
| spl4_2
| ~ spl4_81
| ~ spl4_84
| ~ spl4_115 ),
inference(avatar_split_clause,[],[f13936,f1064,f708,f695,f312,f317,f307,f808]) ).
fof(f13936,plain,
( e0 = e2
| e0 = e3
| e0 = e1
| e0 = op(e3,e3)
| ~ spl4_81
| ~ spl4_84
| ~ spl4_115 ),
inference(forward_demodulation,[],[f11838,f710]) ).
fof(f11838,plain,
( e0 = e3
| e0 = e1
| e0 = op(e3,e3)
| e0 = op(e3,e1)
| ~ spl4_81
| ~ spl4_115 ),
inference(forward_demodulation,[],[f10350,f1065]) ).
fof(f10350,plain,
( e0 = e1
| e0 = op(e3,e3)
| e0 = op(e3,e2)
| e0 = op(e3,e1)
| ~ spl4_81 ),
inference(forward_demodulation,[],[f210,f696]) ).
fof(f13918,plain,
( spl4_70
| spl4_82
| spl4_3
| spl4_2
| ~ spl4_66
| ~ spl4_80 ),
inference(avatar_split_clause,[],[f12560,f690,f627,f312,f317,f699,f645]) ).
fof(f690,plain,
( spl4_80
<=> e3 = op(e2,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_80])]) ).
fof(f12560,plain,
( e0 = e2
| e0 = e3
| e0 = op(e3,e1)
| e0 = op(e1,e1)
| ~ spl4_66
| ~ spl4_80 ),
inference(forward_demodulation,[],[f3497,f629]) ).
fof(f3497,plain,
( e0 = e3
| e0 = op(e3,e1)
| e0 = op(e1,e1)
| e0 = op(e0,e1)
| ~ spl4_80 ),
inference(forward_demodulation,[],[f195,f692]) ).
fof(f692,plain,
( e3 = op(e2,e1)
| ~ spl4_80 ),
inference(avatar_component_clause,[],[f690]) ).
fof(f13900,plain,
( spl4_12
| spl4_113
| spl4_5
| spl4_4
| ~ spl4_66
| ~ spl4_80 ),
inference(avatar_split_clause,[],[f12559,f690,f627,f322,f327,f1022,f359]) ).
fof(f12559,plain,
( e1 = e2
| e1 = e3
| e1 = op(e3,e1)
| e1 = op(e1,e1)
| ~ spl4_66
| ~ spl4_80 ),
inference(forward_demodulation,[],[f7064,f629]) ).
fof(f7064,plain,
( e1 = e3
| e1 = op(e3,e1)
| e1 = op(e1,e1)
| e1 = op(e0,e1)
| ~ spl4_80 ),
inference(forward_demodulation,[],[f197,f692]) ).
fof(f13891,plain,
( spl4_115
| spl4_3
| spl4_6
| spl4_5
| ~ spl4_65
| ~ spl4_103
| ~ spl4_112 ),
inference(avatar_split_clause,[],[f13882,f993,f835,f623,f327,f332,f317,f1064]) ).
fof(f623,plain,
( spl4_65
<=> e1 = op(e0,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_65])]) ).
fof(f13882,plain,
( e1 = e3
| e2 = e3
| e0 = e3
| e3 = op(e3,e2)
| ~ spl4_65
| ~ spl4_103
| ~ spl4_112 ),
inference(forward_demodulation,[],[f7005,f624]) ).
fof(f624,plain,
( e1 = op(e0,e2)
| ~ spl4_65 ),
inference(avatar_component_clause,[],[f623]) ).
fof(f7005,plain,
( e2 = e3
| e0 = e3
| e3 = op(e3,e2)
| e3 = op(e0,e2)
| ~ spl4_103
| ~ spl4_112 ),
inference(forward_demodulation,[],[f3690,f995]) ).
fof(f3690,plain,
( e0 = e3
| e3 = op(e3,e2)
| e3 = op(e1,e2)
| e3 = op(e0,e2)
| ~ spl4_103 ),
inference(forward_demodulation,[],[f209,f836]) ).
fof(f13877,plain,
( spl4_86
| spl4_3
| spl4_6
| ~ spl4_91
| ~ spl4_99
| ~ spl4_119 ),
inference(avatar_split_clause,[],[f13863,f1566,f817,f742,f332,f317,f717]) ).
fof(f13863,plain,
( e2 = e3
| e0 = e3
| e3 = op(e3,e1)
| ~ spl4_91
| ~ spl4_99
| ~ spl4_119 ),
inference(duplicate_literal_removal,[],[f13862]) ).
fof(f13862,plain,
( e2 = e3
| e2 = e3
| e0 = e3
| e3 = op(e3,e1)
| ~ spl4_91
| ~ spl4_99
| ~ spl4_119 ),
inference(forward_demodulation,[],[f13497,f1568]) ).
fof(f13497,plain,
( e2 = e3
| e0 = e3
| e3 = op(e3,e2)
| e3 = op(e3,e1)
| ~ spl4_91
| ~ spl4_99 ),
inference(forward_demodulation,[],[f8513,f818]) ).
fof(f8513,plain,
( e0 = e3
| e3 = op(e3,e3)
| e3 = op(e3,e2)
| e3 = op(e3,e1)
| ~ spl4_91 ),
inference(forward_demodulation,[],[f216,f744]) ).
fof(f13860,plain,
( spl4_86
| spl4_6
| spl4_5
| ~ spl4_81
| ~ spl4_99
| ~ spl4_119 ),
inference(avatar_split_clause,[],[f13846,f1566,f817,f695,f327,f332,f717]) ).
fof(f13846,plain,
( e1 = e3
| e2 = e3
| e3 = op(e3,e1)
| ~ spl4_81
| ~ spl4_99
| ~ spl4_119 ),
inference(forward_demodulation,[],[f13845,f696]) ).
fof(f13845,plain,
( e2 = e3
| e3 = op(e3,e1)
| e3 = op(e3,e0)
| ~ spl4_99
| ~ spl4_119 ),
inference(duplicate_literal_removal,[],[f13844]) ).
fof(f13844,plain,
( e2 = e3
| e2 = e3
| e3 = op(e3,e1)
| e3 = op(e3,e0)
| ~ spl4_99
| ~ spl4_119 ),
inference(forward_demodulation,[],[f2018,f818]) ).
fof(f13858,plain,
( ~ spl4_68
| spl4_22
| ~ spl4_80 ),
inference(avatar_split_clause,[],[f12562,f690,f409,f636]) ).
fof(f409,plain,
( spl4_22
<=> op(e0,e1) = op(e2,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_22])]) ).
fof(f12562,plain,
( e3 != op(e0,e1)
| spl4_22
| ~ spl4_80 ),
inference(superposition,[],[f411,f692]) ).
fof(f411,plain,
( op(e0,e1) != op(e2,e1)
| spl4_22 ),
inference(avatar_component_clause,[],[f409]) ).
fof(f13840,plain,
( spl4_112
| spl4_119
| spl4_2
| spl4_4
| ~ spl4_65
| ~ spl4_103 ),
inference(avatar_split_clause,[],[f3181,f835,f623,f322,f312,f1566,f993]) ).
fof(f3181,plain,
( e1 = e2
| e0 = e2
| e2 = op(e3,e2)
| e2 = op(e1,e2)
| ~ spl4_65
| ~ spl4_103 ),
inference(forward_demodulation,[],[f2779,f624]) ).
fof(f2779,plain,
( e0 = e2
| e2 = op(e3,e2)
| e2 = op(e1,e2)
| e2 = op(e0,e2)
| ~ spl4_103 ),
inference(forward_demodulation,[],[f207,f836]) ).
fof(f13823,plain,
( spl4_4
| ~ spl4_79
| ~ spl4_114 ),
inference(avatar_split_clause,[],[f13807,f1035,f686,f322]) ).
fof(f13807,plain,
( e1 = e2
| ~ spl4_79
| ~ spl4_114 ),
inference(superposition,[],[f687,f1037]) ).
fof(f13763,plain,
( spl4_79
| spl4_5
| spl4_4
| spl4_1
| ~ spl4_80
| ~ spl4_103
| ~ spl4_105 ),
inference(avatar_split_clause,[],[f11939,f856,f835,f690,f307,f322,f327,f686]) ).
fof(f11939,plain,
( e0 = e1
| e1 = e2
| e1 = e3
| e1 = op(e2,e3)
| ~ spl4_80
| ~ spl4_103
| ~ spl4_105 ),
inference(forward_demodulation,[],[f1830,f836]) ).
fof(f1830,plain,
( e1 = e2
| e1 = e3
| e1 = op(e2,e3)
| e1 = op(e2,e2)
| ~ spl4_80
| ~ spl4_105 ),
inference(forward_demodulation,[],[f1829,f858]) ).
fof(f1829,plain,
( e1 = e3
| e1 = op(e2,e3)
| e1 = op(e2,e2)
| e1 = op(e2,e0)
| ~ spl4_80 ),
inference(forward_demodulation,[],[f204,f692]) ).
fof(f13707,plain,
( ~ spl4_7
| spl4_6
| ~ spl4_88
| ~ spl4_93 ),
inference(avatar_split_clause,[],[f13680,f758,f726,f332,f337]) ).
fof(f13680,plain,
( e2 = e3
| ~ sP0
| ~ spl4_88
| ~ spl4_93 ),
inference(trivial_inequality_removal,[],[f13679]) ).
fof(f13679,plain,
( e0 != e0
| e2 = e3
| ~ sP0
| ~ spl4_88
| ~ spl4_93 ),
inference(forward_demodulation,[],[f10267,f728]) ).
fof(f10267,plain,
( e2 = e3
| e0 != op(e0,e3)
| ~ sP0
| ~ spl4_93 ),
inference(forward_demodulation,[],[f120,f760]) ).
fof(f120,plain,
( op(e0,e0) = e3
| e0 != op(e0,e3)
| ~ sP0 ),
inference(cnf_transformation,[],[f62]) ).
fof(f13653,plain,
( spl4_70
| spl4_82
| spl4_3
| ~ spl4_68
| ~ spl4_80 ),
inference(avatar_split_clause,[],[f9837,f690,f636,f317,f699,f645]) ).
fof(f9837,plain,
( e0 = e3
| e0 = op(e3,e1)
| e0 = op(e1,e1)
| ~ spl4_68
| ~ spl4_80 ),
inference(duplicate_literal_removal,[],[f6191]) ).
fof(f6191,plain,
( e0 = e3
| e0 = e3
| e0 = op(e3,e1)
| e0 = op(e1,e1)
| ~ spl4_68
| ~ spl4_80 ),
inference(forward_demodulation,[],[f5399,f638]) ).
fof(f5399,plain,
( e0 = e3
| e0 = op(e3,e1)
| e0 = op(e1,e1)
| e0 = op(e0,e1)
| ~ spl4_80 ),
inference(forward_demodulation,[],[f195,f692]) ).
fof(f13641,plain,
( ~ spl4_9
| ~ spl4_99
| spl4_115 ),
inference(avatar_split_clause,[],[f100,f1064,f817,f345]) ).
fof(f100,plain,
( e3 = op(e3,e2)
| e2 != op(e3,e3)
| ~ sP2 ),
inference(cnf_transformation,[],[f60]) ).
fof(f13555,plain,
( spl4_6
| spl4_5
| spl4_3
| ~ spl4_73
| ~ spl4_88
| ~ spl4_98
| ~ spl4_99 ),
inference(avatar_split_clause,[],[f13472,f817,f813,f726,f659,f317,f327,f332]) ).
fof(f13472,plain,
( e0 = e3
| e1 = e3
| e2 = e3
| ~ spl4_73
| ~ spl4_88
| ~ spl4_98
| ~ spl4_99 ),
inference(duplicate_literal_removal,[],[f13471]) ).
fof(f13471,plain,
( e0 = e3
| e1 = e3
| e2 = e3
| e0 = e3
| ~ spl4_73
| ~ spl4_88
| ~ spl4_98
| ~ spl4_99 ),
inference(forward_demodulation,[],[f8909,f814]) ).
fof(f8909,plain,
( e1 = e3
| e2 = e3
| e0 = e3
| e3 = op(e2,e3)
| ~ spl4_73
| ~ spl4_88
| ~ spl4_99 ),
inference(forward_demodulation,[],[f8834,f660]) ).
fof(f8834,plain,
( e2 = e3
| e0 = e3
| e3 = op(e2,e3)
| e3 = op(e1,e3)
| ~ spl4_88
| ~ spl4_99 ),
inference(forward_demodulation,[],[f3064,f818]) ).
fof(f3064,plain,
( e0 = e3
| e3 = op(e3,e3)
| e3 = op(e2,e3)
| e3 = op(e1,e3)
| ~ spl4_88 ),
inference(forward_demodulation,[],[f217,f728]) ).
fof(f13553,plain,
( ~ spl4_106
| ~ spl4_63
| ~ spl4_116 ),
inference(avatar_split_clause,[],[f7111,f1069,f614,f860]) ).
fof(f614,plain,
( spl4_63
<=> op(e0,e0) = e1 ),
introduced(avatar_definition,[new_symbols(naming,[spl4_63])]) ).
fof(f7111,plain,
( e2 != op(e3,e0)
| ~ spl4_63
| ~ spl4_116 ),
inference(trivial_inequality_removal,[],[f1486]) ).
fof(f1486,plain,
( e3 != e3
| e2 != op(e3,e0)
| ~ spl4_63
| ~ spl4_116 ),
inference(forward_demodulation,[],[f1485,f1071]) ).
fof(f1485,plain,
( e3 != op(e1,e0)
| e2 != op(e3,e0)
| ~ spl4_63 ),
inference(trivial_inequality_removal,[],[f1484]) ).
fof(f1484,plain,
( e1 != e1
| e3 != op(e1,e0)
| e2 != op(e3,e0)
| ~ spl4_63 ),
inference(forward_demodulation,[],[f299,f615]) ).
fof(f615,plain,
( op(e0,e0) = e1
| ~ spl4_63 ),
inference(avatar_component_clause,[],[f614]) ).
fof(f299,plain,
( op(e0,e0) != e1
| e3 != op(e1,e0)
| e2 != op(e3,e0) ),
inference(inner_rewriting,[],[f298]) ).
fof(f298,plain,
( op(e0,e0) != e1
| e3 != op(e1,e0)
| e2 != op(op(e1,e0),e0) ),
inference(inner_rewriting,[],[f254]) ).
fof(f254,plain,
( op(e0,e0) != e1
| e3 != op(op(e0,e0),e0)
| e2 != op(op(op(e0,e0),e0),e0) ),
inference(cnf_transformation,[],[f50]) ).
fof(f50,plain,
( op(e0,e0) != e1
| e3 != op(op(e0,e0),e0)
| e2 != op(op(op(e0,e0),e0),e0) ),
inference(ennf_transformation,[],[f9]) ).
fof(f9,axiom,
~ ( op(e0,e0) = e1
& e3 = op(op(e0,e0),e0)
& e2 = op(op(op(e0,e0),e0),e0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax9) ).
fof(f13440,plain,
( ~ spl4_10
| ~ spl4_110
| spl4_2
| ~ spl4_88 ),
inference(avatar_split_clause,[],[f13335,f726,f312,f922,f349]) ).
fof(f13335,plain,
( e0 = e2
| e3 != op(e0,e2)
| ~ sP3
| ~ spl4_88 ),
inference(forward_demodulation,[],[f71,f728]) ).
fof(f13320,plain,
( ~ spl4_9
| ~ spl4_78
| spl4_77 ),
inference(avatar_split_clause,[],[f94,f677,f681,f345]) ).
fof(f94,plain,
( e1 = op(e2,e2)
| e2 != op(e2,e1)
| ~ sP2 ),
inference(cnf_transformation,[],[f60]) ).
fof(f13286,plain,
( ~ spl4_9
| ~ spl4_99
| spl4_3
| ~ spl4_100 ),
inference(avatar_split_clause,[],[f13237,f822,f317,f817,f345]) ).
fof(f13237,plain,
( e0 = e3
| e2 != op(e3,e3)
| ~ sP2
| ~ spl4_100 ),
inference(forward_demodulation,[],[f100,f823]) ).
fof(f13229,plain,
( spl4_4
| ~ spl4_71
| ~ spl4_112 ),
inference(avatar_split_clause,[],[f13201,f993,f650,f322]) ).
fof(f13201,plain,
( e1 = e2
| ~ spl4_71
| ~ spl4_112 ),
inference(superposition,[],[f651,f995]) ).
fof(f13130,plain,
( ~ spl4_9
| ~ spl4_66
| spl4_65 ),
inference(avatar_split_clause,[],[f86,f623,f627,f345]) ).
fof(f86,plain,
( e1 = op(e0,e2)
| e2 != op(e0,e1)
| ~ sP2 ),
inference(cnf_transformation,[],[f60]) ).
fof(f12990,plain,
( spl4_116
| spl4_3
| spl4_6
| spl4_5
| ~ spl4_63
| ~ spl4_90
| ~ spl4_106 ),
inference(avatar_split_clause,[],[f12979,f860,f738,f614,f327,f332,f317,f1069]) ).
fof(f12979,plain,
( e1 = e3
| e2 = e3
| e0 = e3
| e3 = op(e1,e0)
| ~ spl4_63
| ~ spl4_90
| ~ spl4_106 ),
inference(forward_demodulation,[],[f10791,f615]) ).
fof(f10791,plain,
( e2 = e3
| e0 = e3
| e3 = op(e1,e0)
| op(e0,e0) = e3
| ~ spl4_90
| ~ spl4_106 ),
inference(forward_demodulation,[],[f3685,f862]) ).
fof(f3685,plain,
( e0 = e3
| e3 = op(e3,e0)
| e3 = op(e1,e0)
| op(e0,e0) = e3
| ~ spl4_90 ),
inference(forward_demodulation,[],[f193,f740]) ).
fof(f12974,plain,
( spl4_98
| spl4_1
| spl4_3
| ~ spl4_101
| ~ spl4_118
| ~ spl4_120 ),
inference(avatar_split_clause,[],[f12960,f1572,f1532,f826,f317,f307,f813]) ).
fof(f12960,plain,
( e0 = e3
| e0 = e1
| e0 = op(e2,e3)
| ~ spl4_101
| ~ spl4_118
| ~ spl4_120 ),
inference(duplicate_literal_removal,[],[f12959]) ).
fof(f12959,plain,
( e0 = e3
| e0 = e3
| e0 = e1
| e0 = op(e2,e3)
| ~ spl4_101
| ~ spl4_118
| ~ spl4_120 ),
inference(forward_demodulation,[],[f9701,f1574]) ).
fof(f9701,plain,
( e0 = e3
| e0 = e1
| e0 = op(e2,e3)
| e0 = op(e2,e0)
| ~ spl4_101
| ~ spl4_118 ),
inference(forward_demodulation,[],[f9479,f827]) ).
fof(f9479,plain,
( e0 = e1
| e0 = op(e2,e3)
| e0 = op(e2,e2)
| e0 = op(e2,e0)
| ~ spl4_118 ),
inference(forward_demodulation,[],[f202,f1534]) ).
fof(f12972,plain,
( ~ spl4_122
| spl4_57
| ~ spl4_86 ),
inference(avatar_split_clause,[],[f3566,f717,f584,f3961]) ).
fof(f584,plain,
( spl4_57
<=> op(e3,e0) = op(e3,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_57])]) ).
fof(f3566,plain,
( e3 != op(e3,e0)
| spl4_57
| ~ spl4_86 ),
inference(superposition,[],[f586,f719]) ).
fof(f586,plain,
( op(e3,e0) != op(e3,e1)
| spl4_57 ),
inference(avatar_component_clause,[],[f584]) ).
fof(f12957,plain,
( spl4_118
| spl4_79
| spl4_5
| ~ spl4_101
| ~ spl4_120 ),
inference(avatar_split_clause,[],[f12900,f1572,f826,f327,f686,f1532]) ).
fof(f12900,plain,
( e1 = e3
| e1 = op(e2,e3)
| e1 = op(e2,e1)
| ~ spl4_101
| ~ spl4_120 ),
inference(duplicate_literal_removal,[],[f12899]) ).
fof(f12899,plain,
( e1 = e3
| e1 = e3
| e1 = op(e2,e3)
| e1 = op(e2,e1)
| ~ spl4_101
| ~ spl4_120 ),
inference(forward_demodulation,[],[f5195,f827]) ).
fof(f5195,plain,
( e1 = e3
| e1 = op(e2,e3)
| e1 = op(e2,e2)
| e1 = op(e2,e1)
| ~ spl4_120 ),
inference(forward_demodulation,[],[f204,f1574]) ).
fof(f12934,plain,
( spl4_6
| ~ spl4_106
| ~ spl4_122 ),
inference(avatar_split_clause,[],[f4207,f3961,f860,f332]) ).
fof(f4207,plain,
( e2 = e3
| ~ spl4_106
| ~ spl4_122 ),
inference(superposition,[],[f862,f3963]) ).
fof(f12891,plain,
( ~ spl4_10
| spl4_1
| ~ spl4_68
| ~ spl4_88 ),
inference(avatar_split_clause,[],[f12854,f726,f636,f307,f349]) ).
fof(f12854,plain,
( e0 = e1
| ~ sP3
| ~ spl4_68
| ~ spl4_88 ),
inference(trivial_inequality_removal,[],[f12853]) ).
fof(f12853,plain,
( e3 != e3
| e0 = e1
| ~ sP3
| ~ spl4_68
| ~ spl4_88 ),
inference(forward_demodulation,[],[f1048,f638]) ).
fof(f1048,plain,
( e0 = e1
| e3 != op(e0,e1)
| ~ sP3
| ~ spl4_88 ),
inference(forward_demodulation,[],[f70,f728]) ).
fof(f12839,plain,
( spl4_106
| spl4_4
| spl4_2
| ~ spl4_85
| ~ spl4_100
| ~ spl4_113 ),
inference(avatar_split_clause,[],[f12276,f1022,f822,f713,f312,f322,f860]) ).
fof(f713,plain,
( spl4_85
<=> e1 = op(e3,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_85])]) ).
fof(f12276,plain,
( e0 = e2
| e1 = e2
| e2 = op(e3,e0)
| ~ spl4_85
| ~ spl4_100
| ~ spl4_113 ),
inference(forward_demodulation,[],[f9561,f823]) ).
fof(f9561,plain,
( e1 = e2
| e2 = op(e3,e2)
| e2 = op(e3,e0)
| ~ spl4_85
| ~ spl4_113 ),
inference(duplicate_literal_removal,[],[f9560]) ).
fof(f9560,plain,
( e1 = e2
| e1 = e2
| e2 = op(e3,e2)
| e2 = op(e3,e0)
| ~ spl4_85
| ~ spl4_113 ),
inference(forward_demodulation,[],[f6118,f714]) ).
fof(f714,plain,
( e1 = op(e3,e3)
| ~ spl4_85 ),
inference(avatar_component_clause,[],[f713]) ).
fof(f6118,plain,
( e1 = e2
| e2 = op(e3,e3)
| e2 = op(e3,e2)
| e2 = op(e3,e0)
| ~ spl4_113 ),
inference(forward_demodulation,[],[f214,f1024]) ).
fof(f214,plain,
( e2 = op(e3,e3)
| e2 = op(e3,e2)
| e2 = op(e3,e1)
| e2 = op(e3,e0) ),
inference(cnf_transformation,[],[f2]) ).
fof(f12757,plain,
( spl4_76
| spl4_98
| spl4_2
| spl4_3
| ~ spl4_101
| ~ spl4_105 ),
inference(avatar_split_clause,[],[f10616,f856,f826,f317,f312,f813,f672]) ).
fof(f10616,plain,
( e0 = e3
| e0 = e2
| e0 = op(e2,e3)
| e0 = op(e2,e1)
| ~ spl4_101
| ~ spl4_105 ),
inference(forward_demodulation,[],[f1859,f827]) ).
fof(f1859,plain,
( e0 = e2
| e0 = op(e2,e3)
| e0 = op(e2,e2)
| e0 = op(e2,e1)
| ~ spl4_105 ),
inference(forward_demodulation,[],[f202,f858]) ).
fof(f12755,plain,
( ~ spl4_81
| spl4_59
| ~ spl4_85 ),
inference(avatar_split_clause,[],[f8467,f713,f594,f695]) ).
fof(f594,plain,
( spl4_59
<=> op(e3,e0) = op(e3,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_59])]) ).
fof(f8467,plain,
( e1 != op(e3,e0)
| spl4_59
| ~ spl4_85 ),
inference(superposition,[],[f596,f714]) ).
fof(f596,plain,
( op(e3,e0) != op(e3,e3)
| spl4_59 ),
inference(avatar_component_clause,[],[f594]) ).
fof(f12748,plain,
( spl4_86
| spl4_3
| spl4_5
| spl4_6
| ~ spl4_85
| ~ spl4_91
| ~ spl4_119 ),
inference(avatar_split_clause,[],[f10247,f1566,f742,f713,f332,f327,f317,f717]) ).
fof(f10247,plain,
( e2 = e3
| e1 = e3
| e0 = e3
| e3 = op(e3,e1)
| ~ spl4_85
| ~ spl4_91
| ~ spl4_119 ),
inference(forward_demodulation,[],[f9954,f1568]) ).
fof(f9954,plain,
( e1 = e3
| e0 = e3
| e3 = op(e3,e2)
| e3 = op(e3,e1)
| ~ spl4_85
| ~ spl4_91 ),
inference(forward_demodulation,[],[f8513,f714]) ).
fof(f12669,plain,
( spl4_76
| spl4_82
| spl4_2
| spl4_3
| ~ spl4_66
| ~ spl4_74 ),
inference(avatar_split_clause,[],[f11042,f663,f627,f317,f312,f699,f672]) ).
fof(f11042,plain,
( e0 = e3
| e0 = e2
| e0 = op(e3,e1)
| e0 = op(e2,e1)
| ~ spl4_66
| ~ spl4_74 ),
inference(forward_demodulation,[],[f774,f665]) ).
fof(f774,plain,
( e0 = e2
| e0 = op(e3,e1)
| e0 = op(e2,e1)
| e0 = op(e1,e1)
| ~ spl4_66 ),
inference(forward_demodulation,[],[f195,f629]) ).
fof(f12666,plain,
( spl4_101
| spl4_6
| spl4_3
| spl4_5
| ~ spl4_65
| ~ spl4_100
| ~ spl4_112 ),
inference(avatar_split_clause,[],[f12611,f993,f822,f623,f327,f317,f332,f826]) ).
fof(f12611,plain,
( e1 = e3
| e0 = e3
| e2 = e3
| e3 = op(e2,e2)
| ~ spl4_65
| ~ spl4_100
| ~ spl4_112 ),
inference(forward_demodulation,[],[f12596,f624]) ).
fof(f12596,plain,
( e0 = e3
| e2 = e3
| e3 = op(e2,e2)
| e3 = op(e0,e2)
| ~ spl4_100
| ~ spl4_112 ),
inference(forward_demodulation,[],[f2619,f823]) ).
fof(f2619,plain,
( e2 = e3
| e3 = op(e3,e2)
| e3 = op(e2,e2)
| e3 = op(e0,e2)
| ~ spl4_112 ),
inference(forward_demodulation,[],[f209,f995]) ).
fof(f12664,plain,
( ~ spl4_64
| spl4_43
| ~ spl4_88 ),
inference(avatar_split_clause,[],[f6938,f726,f514,f618]) ).
fof(f12606,plain,
( spl4_6
| spl4_3
| spl4_5
| ~ spl4_65
| ~ spl4_77
| ~ spl4_100
| ~ spl4_112 ),
inference(avatar_split_clause,[],[f12599,f993,f822,f677,f623,f327,f317,f332]) ).
fof(f12599,plain,
( e1 = e3
| e0 = e3
| e2 = e3
| ~ spl4_65
| ~ spl4_77
| ~ spl4_100
| ~ spl4_112 ),
inference(duplicate_literal_removal,[],[f12598]) ).
fof(f12598,plain,
( e1 = e3
| e1 = e3
| e0 = e3
| e2 = e3
| ~ spl4_65
| ~ spl4_77
| ~ spl4_100
| ~ spl4_112 ),
inference(forward_demodulation,[],[f12597,f624]) ).
fof(f12597,plain,
( e1 = e3
| e0 = e3
| e2 = e3
| e3 = op(e0,e2)
| ~ spl4_77
| ~ spl4_100
| ~ spl4_112 ),
inference(forward_demodulation,[],[f12596,f678]) ).
fof(f12594,plain,
( spl4_112
| spl4_2
| spl4_4
| ~ spl4_65
| ~ spl4_77
| ~ spl4_100 ),
inference(avatar_split_clause,[],[f12584,f822,f677,f623,f322,f312,f993]) ).
fof(f12584,plain,
( e1 = e2
| e0 = e2
| e2 = op(e1,e2)
| ~ spl4_65
| ~ spl4_77
| ~ spl4_100 ),
inference(duplicate_literal_removal,[],[f12583]) ).
fof(f12583,plain,
( e1 = e2
| e1 = e2
| e0 = e2
| e2 = op(e1,e2)
| ~ spl4_65
| ~ spl4_77
| ~ spl4_100 ),
inference(forward_demodulation,[],[f7942,f624]) ).
fof(f7942,plain,
( e1 = e2
| e0 = e2
| e2 = op(e1,e2)
| e2 = op(e0,e2)
| ~ spl4_77
| ~ spl4_100 ),
inference(forward_demodulation,[],[f1300,f678]) ).
fof(f1300,plain,
( e0 = e2
| e2 = op(e2,e2)
| e2 = op(e1,e2)
| e2 = op(e0,e2)
| ~ spl4_100 ),
inference(forward_demodulation,[],[f207,f823]) ).
fof(f12581,plain,
( spl4_77
| spl4_79
| spl4_5
| spl4_1
| ~ spl4_80
| ~ spl4_90 ),
inference(avatar_split_clause,[],[f11046,f738,f690,f307,f327,f686,f677]) ).
fof(f11046,plain,
( e0 = e1
| e1 = e3
| e1 = op(e2,e3)
| e1 = op(e2,e2)
| ~ spl4_80
| ~ spl4_90 ),
inference(forward_demodulation,[],[f5534,f740]) ).
fof(f5534,plain,
( e1 = e3
| e1 = op(e2,e3)
| e1 = op(e2,e2)
| e1 = op(e2,e0)
| ~ spl4_80 ),
inference(forward_demodulation,[],[f204,f692]) ).
fof(f12532,plain,
( spl4_86
| spl4_5
| spl4_6
| ~ spl4_85
| ~ spl4_106
| ~ spl4_119 ),
inference(avatar_split_clause,[],[f12520,f1566,f860,f713,f332,f327,f717]) ).
fof(f12520,plain,
( e2 = e3
| e1 = e3
| e3 = op(e3,e1)
| ~ spl4_85
| ~ spl4_106
| ~ spl4_119 ),
inference(duplicate_literal_removal,[],[f12519]) ).
fof(f12519,plain,
( e2 = e3
| e1 = e3
| e2 = e3
| e3 = op(e3,e1)
| ~ spl4_85
| ~ spl4_106
| ~ spl4_119 ),
inference(forward_demodulation,[],[f11960,f862]) ).
fof(f11960,plain,
( e1 = e3
| e2 = e3
| e3 = op(e3,e1)
| e3 = op(e3,e0)
| ~ spl4_85
| ~ spl4_119 ),
inference(forward_demodulation,[],[f2018,f714]) ).
fof(f12507,plain,
( spl4_119
| spl4_4
| spl4_6
| spl4_2
| ~ spl4_65
| ~ spl4_101
| ~ spl4_108 ),
inference(avatar_split_clause,[],[f12471,f902,f826,f623,f312,f332,f322,f1566]) ).
fof(f12471,plain,
( e0 = e2
| e2 = e3
| e1 = e2
| e2 = op(e3,e2)
| ~ spl4_65
| ~ spl4_101
| ~ spl4_108 ),
inference(forward_demodulation,[],[f10204,f904]) ).
fof(f10204,plain,
( e2 = e3
| e1 = e2
| e2 = op(e3,e2)
| e2 = op(e1,e2)
| ~ spl4_65
| ~ spl4_101 ),
inference(forward_demodulation,[],[f3131,f827]) ).
fof(f3131,plain,
( e1 = e2
| e2 = op(e3,e2)
| e2 = op(e2,e2)
| e2 = op(e1,e2)
| ~ spl4_65 ),
inference(forward_demodulation,[],[f207,f624]) ).
fof(f12498,plain,
( spl4_82
| spl4_1
| spl4_2
| ~ spl4_66
| ~ spl4_72
| ~ spl4_118 ),
inference(avatar_split_clause,[],[f12491,f1532,f654,f627,f312,f307,f699]) ).
fof(f12491,plain,
( e0 = e2
| e0 = e1
| e0 = op(e3,e1)
| ~ spl4_66
| ~ spl4_72
| ~ spl4_118 ),
inference(duplicate_literal_removal,[],[f12490]) ).
fof(f12490,plain,
( e0 = e2
| e0 = e2
| e0 = e1
| e0 = op(e3,e1)
| ~ spl4_66
| ~ spl4_72
| ~ spl4_118 ),
inference(forward_demodulation,[],[f12489,f629]) ).
fof(f12489,plain,
( e0 = e2
| e0 = e1
| e0 = op(e3,e1)
| e0 = op(e0,e1)
| ~ spl4_72
| ~ spl4_118 ),
inference(forward_demodulation,[],[f5624,f656]) ).
fof(f5624,plain,
( e0 = e1
| e0 = op(e3,e1)
| e0 = op(e1,e1)
| e0 = op(e0,e1)
| ~ spl4_118 ),
inference(forward_demodulation,[],[f195,f1534]) ).
fof(f12488,plain,
( spl4_118
| spl4_113
| spl4_4
| ~ spl4_66
| ~ spl4_72 ),
inference(avatar_split_clause,[],[f12468,f654,f627,f322,f1022,f1532]) ).
fof(f12468,plain,
( e1 = e2
| e1 = op(e3,e1)
| e1 = op(e2,e1)
| ~ spl4_66
| ~ spl4_72 ),
inference(duplicate_literal_removal,[],[f12467]) ).
fof(f12467,plain,
( e1 = e2
| e1 = e2
| e1 = op(e3,e1)
| e1 = op(e2,e1)
| ~ spl4_66
| ~ spl4_72 ),
inference(forward_demodulation,[],[f9556,f656]) ).
fof(f9556,plain,
( e1 = e2
| e1 = op(e3,e1)
| e1 = op(e2,e1)
| e1 = op(e1,e1)
| ~ spl4_66 ),
inference(forward_demodulation,[],[f197,f629]) ).
fof(f12448,plain,
( spl4_76
| spl4_82
| spl4_2
| spl4_1
| ~ spl4_72
| ~ spl4_92 ),
inference(avatar_split_clause,[],[f3595,f749,f654,f307,f312,f699,f672]) ).
fof(f749,plain,
( spl4_92
<=> e1 = op(e0,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_92])]) ).
fof(f3595,plain,
( e0 = e1
| e0 = e2
| e0 = op(e3,e1)
| e0 = op(e2,e1)
| ~ spl4_72
| ~ spl4_92 ),
inference(forward_demodulation,[],[f1997,f751]) ).
fof(f751,plain,
( e1 = op(e0,e1)
| ~ spl4_92 ),
inference(avatar_component_clause,[],[f749]) ).
fof(f12417,plain,
( spl4_86
| spl4_3
| spl4_5
| ~ spl4_81
| ~ spl4_85
| ~ spl4_100 ),
inference(avatar_split_clause,[],[f12245,f822,f713,f695,f327,f317,f717]) ).
fof(f12245,plain,
( e1 = e3
| e0 = e3
| e3 = op(e3,e1)
| ~ spl4_81
| ~ spl4_85
| ~ spl4_100 ),
inference(duplicate_literal_removal,[],[f10354]) ).
fof(f10354,plain,
( e1 = e3
| e1 = e3
| e0 = e3
| e3 = op(e3,e1)
| ~ spl4_81
| ~ spl4_85
| ~ spl4_100 ),
inference(forward_demodulation,[],[f10353,f696]) ).
fof(f10353,plain,
( e1 = e3
| e0 = e3
| e3 = op(e3,e1)
| e3 = op(e3,e0)
| ~ spl4_85
| ~ spl4_100 ),
inference(forward_demodulation,[],[f7859,f714]) ).
fof(f7859,plain,
( e0 = e3
| e3 = op(e3,e3)
| e3 = op(e3,e1)
| e3 = op(e3,e0)
| ~ spl4_100 ),
inference(forward_demodulation,[],[f216,f823]) ).
fof(f12371,plain,
( ~ spl4_9
| spl4_110
| ~ spl4_95 ),
inference(avatar_split_clause,[],[f12257,f766,f922,f345]) ).
fof(f12257,plain,
( e3 = op(e0,e2)
| ~ sP2
| ~ spl4_95 ),
inference(trivial_inequality_removal,[],[f12256]) ).
fof(f12256,plain,
( e2 != e2
| e3 = op(e0,e2)
| ~ sP2
| ~ spl4_95 ),
inference(forward_demodulation,[],[f88,f768]) ).
fof(f88,plain,
( e3 = op(e0,e2)
| e2 != op(e0,e3)
| ~ sP2 ),
inference(cnf_transformation,[],[f60]) ).
fof(f12238,plain,
( spl4_13
| spl4_2
| spl4_4
| spl4_6
| ~ spl4_71
| ~ spl4_100
| ~ spl4_110 ),
inference(avatar_split_clause,[],[f11041,f922,f822,f650,f332,f322,f312,f364]) ).
fof(f11041,plain,
( e2 = e3
| e1 = e2
| e0 = e2
| e2 = op(e2,e2)
| ~ spl4_71
| ~ spl4_100
| ~ spl4_110 ),
inference(forward_demodulation,[],[f1301,f924]) ).
fof(f1301,plain,
( e1 = e2
| e0 = e2
| e2 = op(e2,e2)
| e2 = op(e0,e2)
| ~ spl4_71
| ~ spl4_100 ),
inference(forward_demodulation,[],[f1300,f651]) ).
fof(f12129,plain,
( ~ spl4_10
| spl4_2
| ~ spl4_114
| ~ spl4_120 ),
inference(avatar_split_clause,[],[f12065,f1572,f1035,f312,f349]) ).
fof(f12065,plain,
( e0 = e2
| ~ sP3
| ~ spl4_114
| ~ spl4_120 ),
inference(trivial_inequality_removal,[],[f12064]) ).
fof(f12064,plain,
( e3 != e3
| e0 = e2
| ~ sP3
| ~ spl4_114
| ~ spl4_120 ),
inference(forward_demodulation,[],[f1052,f1574]) ).
fof(f1052,plain,
( e0 = e2
| e3 != op(e2,e0)
| ~ sP3
| ~ spl4_114 ),
inference(forward_demodulation,[],[f77,f1037]) ).
fof(f12009,plain,
( spl4_5
| spl4_4
| spl4_1
| ~ spl4_80
| ~ spl4_98
| ~ spl4_103
| ~ spl4_105 ),
inference(avatar_split_clause,[],[f11936,f856,f835,f813,f690,f307,f322,f327]) ).
fof(f11936,plain,
( e0 = e1
| e1 = e2
| e1 = e3
| ~ spl4_80
| ~ spl4_98
| ~ spl4_103
| ~ spl4_105 ),
inference(duplicate_literal_removal,[],[f11575]) ).
fof(f11575,plain,
( e0 = e1
| e1 = e2
| e0 = e1
| e1 = e3
| ~ spl4_80
| ~ spl4_98
| ~ spl4_103
| ~ spl4_105 ),
inference(forward_demodulation,[],[f6902,f814]) ).
fof(f6902,plain,
( e1 = e2
| e0 = e1
| e1 = e3
| e1 = op(e2,e3)
| ~ spl4_80
| ~ spl4_103
| ~ spl4_105 ),
inference(forward_demodulation,[],[f5297,f858]) ).
fof(f5297,plain,
( e0 = e1
| e1 = e3
| e1 = op(e2,e3)
| e1 = op(e2,e0)
| ~ spl4_80
| ~ spl4_103 ),
inference(forward_demodulation,[],[f1829,f836]) ).
fof(f11927,plain,
( spl4_6
| spl4_4
| ~ spl4_67
| ~ spl4_79
| ~ spl4_85
| ~ spl4_117 ),
inference(avatar_split_clause,[],[f11863,f1073,f713,f686,f632,f322,f332]) ).
fof(f11863,plain,
( e1 = e2
| e2 = e3
| ~ spl4_67
| ~ spl4_79
| ~ spl4_85
| ~ spl4_117 ),
inference(duplicate_literal_removal,[],[f11862]) ).
fof(f11862,plain,
( e1 = e2
| e1 = e2
| e2 = e3
| ~ spl4_67
| ~ spl4_79
| ~ spl4_85
| ~ spl4_117 ),
inference(forward_demodulation,[],[f10078,f687]) ).
fof(f10078,plain,
( e1 = e2
| e2 = e3
| e2 = op(e2,e3)
| ~ spl4_67
| ~ spl4_85
| ~ spl4_117 ),
inference(duplicate_literal_removal,[],[f10077]) ).
fof(f10077,plain,
( e1 = e2
| e1 = e2
| e2 = e3
| e2 = op(e2,e3)
| ~ spl4_67
| ~ spl4_85
| ~ spl4_117 ),
inference(forward_demodulation,[],[f6385,f714]) ).
fof(f6385,plain,
( e1 = e2
| e2 = e3
| e2 = op(e3,e3)
| e2 = op(e2,e3)
| ~ spl4_67
| ~ spl4_117 ),
inference(forward_demodulation,[],[f4359,f633]) ).
fof(f4359,plain,
( e2 = e3
| e2 = op(e3,e3)
| e2 = op(e2,e3)
| e2 = op(e0,e3)
| ~ spl4_117 ),
inference(forward_demodulation,[],[f215,f1075]) ).
fof(f11781,plain,
( ~ spl4_9
| ~ spl4_106
| spl4_100 ),
inference(avatar_split_clause,[],[f97,f822,f860,f345]) ).
fof(f97,plain,
( e0 = op(e3,e2)
| e2 != op(e3,e0)
| ~ sP2 ),
inference(cnf_transformation,[],[f60]) ).
fof(f11780,plain,
( ~ spl4_72
| spl4_49
| ~ spl4_96 ),
inference(avatar_split_clause,[],[f6221,f804,f544,f654]) ).
fof(f544,plain,
( spl4_49
<=> op(e1,e1) = op(e1,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_49])]) ).
fof(f6221,plain,
( e2 != op(e1,e1)
| spl4_49
| ~ spl4_96 ),
inference(superposition,[],[f546,f805]) ).
fof(f546,plain,
( op(e1,e1) != op(e1,e3)
| spl4_49 ),
inference(avatar_component_clause,[],[f544]) ).
fof(f11772,plain,
( spl4_2
| spl4_6
| spl4_4
| ~ spl4_79
| ~ spl4_103
| ~ spl4_118
| ~ spl4_120 ),
inference(avatar_split_clause,[],[f11690,f1572,f1532,f835,f686,f322,f332,f312]) ).
fof(f11690,plain,
( e1 = e2
| e2 = e3
| e0 = e2
| ~ spl4_79
| ~ spl4_103
| ~ spl4_118
| ~ spl4_120 ),
inference(duplicate_literal_removal,[],[f11689]) ).
fof(f11689,plain,
( e1 = e2
| e2 = e3
| e0 = e2
| e1 = e2
| ~ spl4_79
| ~ spl4_103
| ~ spl4_118
| ~ spl4_120 ),
inference(forward_demodulation,[],[f11432,f1534]) ).
fof(f11432,plain,
( e2 = e3
| e0 = e2
| e1 = e2
| e2 = op(e2,e1)
| ~ spl4_79
| ~ spl4_103
| ~ spl4_120 ),
inference(forward_demodulation,[],[f11218,f1574]) ).
fof(f11218,plain,
( e0 = e2
| e1 = e2
| e2 = op(e2,e1)
| e2 = op(e2,e0)
| ~ spl4_79
| ~ spl4_103 ),
inference(forward_demodulation,[],[f2861,f836]) ).
fof(f2861,plain,
( e1 = e2
| e2 = op(e2,e2)
| e2 = op(e2,e1)
| e2 = op(e2,e0)
| ~ spl4_79 ),
inference(forward_demodulation,[],[f206,f687]) ).
fof(f11761,plain,
( ~ spl4_9
| spl4_71
| ~ spl4_72 ),
inference(avatar_split_clause,[],[f11621,f654,f650,f345]) ).
fof(f11621,plain,
( e1 = op(e1,e2)
| ~ sP2
| ~ spl4_72 ),
inference(trivial_inequality_removal,[],[f11620]) ).
fof(f11620,plain,
( e2 != e2
| e1 = op(e1,e2)
| ~ sP2
| ~ spl4_72 ),
inference(forward_demodulation,[],[f90,f656]) ).
fof(f90,plain,
( e1 = op(e1,e2)
| e2 != op(e1,e1)
| ~ sP2 ),
inference(cnf_transformation,[],[f60]) ).
fof(f11592,plain,
( ~ spl4_7
| spl4_6
| ~ spl4_98
| ~ spl4_105 ),
inference(avatar_split_clause,[],[f11562,f856,f813,f332,f337]) ).
fof(f11562,plain,
( e2 = e3
| ~ sP0
| ~ spl4_98
| ~ spl4_105 ),
inference(forward_demodulation,[],[f10029,f858]) ).
fof(f10029,plain,
( e3 = op(e2,e0)
| ~ sP0
| ~ spl4_98 ),
inference(trivial_inequality_removal,[],[f9455]) ).
fof(f11513,plain,
( ~ spl4_9
| ~ spl4_78
| spl4_1
| ~ spl4_103 ),
inference(avatar_split_clause,[],[f11409,f835,f307,f681,f345]) ).
fof(f11409,plain,
( e0 = e1
| e2 != op(e2,e1)
| ~ sP2
| ~ spl4_103 ),
inference(forward_demodulation,[],[f94,f836]) ).
fof(f11385,plain,
( spl4_122
| spl4_5
| spl4_6
| ~ spl4_83
| ~ spl4_84
| ~ spl4_85 ),
inference(avatar_split_clause,[],[f11156,f713,f708,f704,f332,f327,f3961]) ).
fof(f11156,plain,
( e2 = e3
| e1 = e3
| e3 = op(e3,e0)
| ~ spl4_83
| ~ spl4_84
| ~ spl4_85 ),
inference(forward_demodulation,[],[f10935,f710]) ).
fof(f10935,plain,
( e1 = e3
| e3 = op(e3,e1)
| e3 = op(e3,e0)
| ~ spl4_83
| ~ spl4_85 ),
inference(duplicate_literal_removal,[],[f9669]) ).
fof(f9669,plain,
( e1 = e3
| e1 = e3
| e3 = op(e3,e1)
| e3 = op(e3,e0)
| ~ spl4_83
| ~ spl4_85 ),
inference(forward_demodulation,[],[f9181,f705]) ).
fof(f9181,plain,
( e1 = e3
| e3 = op(e3,e2)
| e3 = op(e3,e1)
| e3 = op(e3,e0)
| ~ spl4_85 ),
inference(forward_demodulation,[],[f216,f714]) ).
fof(f11274,plain,
( ~ spl4_9
| ~ spl4_96
| spl4_102 ),
inference(avatar_split_clause,[],[f92,f831,f804,f345]) ).
fof(f92,plain,
( e3 = op(e1,e2)
| e2 != op(e1,e3)
| ~ sP2 ),
inference(cnf_transformation,[],[f60]) ).
fof(f11166,plain,
( spl4_1
| ~ spl4_83
| ~ spl4_100 ),
inference(avatar_split_clause,[],[f7611,f822,f704,f307]) ).
fof(f7611,plain,
( e0 = e1
| ~ spl4_83
| ~ spl4_100 ),
inference(superposition,[],[f823,f705]) ).
fof(f11117,plain,
( spl4_78
| spl4_84
| spl4_6
| ~ spl4_68
| ~ spl4_74 ),
inference(avatar_split_clause,[],[f10917,f663,f636,f332,f708,f681]) ).
fof(f10917,plain,
( e2 = e3
| e2 = op(e3,e1)
| e2 = op(e2,e1)
| ~ spl4_68
| ~ spl4_74 ),
inference(duplicate_literal_removal,[],[f10916]) ).
fof(f10916,plain,
( e2 = e3
| e2 = e3
| e2 = op(e3,e1)
| e2 = op(e2,e1)
| ~ spl4_68
| ~ spl4_74 ),
inference(forward_demodulation,[],[f6730,f665]) ).
fof(f11081,plain,
( ~ spl4_9
| spl4_101
| ~ spl4_114 ),
inference(avatar_split_clause,[],[f10091,f1035,f826,f345]) ).
fof(f10091,plain,
( e3 = op(e2,e2)
| ~ sP2
| ~ spl4_114 ),
inference(trivial_inequality_removal,[],[f1102]) ).
fof(f1102,plain,
( e2 != e2
| e3 = op(e2,e2)
| ~ sP2
| ~ spl4_114 ),
inference(forward_demodulation,[],[f96,f1037]) ).
fof(f96,plain,
( e3 = op(e2,e2)
| e2 != op(e2,e3)
| ~ sP2 ),
inference(cnf_transformation,[],[f60]) ).
fof(f11040,plain,
( spl4_3
| ~ spl4_80
| ~ spl4_83
| ~ spl4_90
| ~ spl4_100 ),
inference(avatar_split_clause,[],[f11022,f822,f738,f704,f690,f317]) ).
fof(f11022,plain,
( e0 = e3
| ~ spl4_80
| ~ spl4_83
| ~ spl4_90
| ~ spl4_100 ),
inference(forward_demodulation,[],[f11021,f740]) ).
fof(f11021,plain,
( e3 = op(e2,e0)
| ~ spl4_80
| ~ spl4_83
| ~ spl4_100 ),
inference(forward_demodulation,[],[f692,f7611]) ).
fof(f10924,plain,
( spl4_117
| spl4_3
| spl4_5
| ~ spl4_79
| ~ spl4_85
| ~ spl4_88 ),
inference(avatar_split_clause,[],[f10847,f726,f713,f686,f327,f317,f1073]) ).
fof(f10847,plain,
( e1 = e3
| e0 = e3
| e3 = op(e1,e3)
| ~ spl4_79
| ~ spl4_85
| ~ spl4_88 ),
inference(duplicate_literal_removal,[],[f10846]) ).
fof(f10846,plain,
( e1 = e3
| e0 = e3
| e1 = e3
| e3 = op(e1,e3)
| ~ spl4_79
| ~ spl4_85
| ~ spl4_88 ),
inference(forward_demodulation,[],[f7014,f714]) ).
fof(f7014,plain,
( e0 = e3
| e1 = e3
| e3 = op(e3,e3)
| e3 = op(e1,e3)
| ~ spl4_79
| ~ spl4_88 ),
inference(forward_demodulation,[],[f1757,f728]) ).
fof(f1757,plain,
( e1 = e3
| e3 = op(e3,e3)
| e3 = op(e1,e3)
| e3 = op(e0,e3)
| ~ spl4_79 ),
inference(forward_demodulation,[],[f217,f687]) ).
fof(f10913,plain,
( ~ spl4_9
| spl4_5
| ~ spl4_78
| ~ spl4_101 ),
inference(avatar_split_clause,[],[f10871,f826,f681,f327,f345]) ).
fof(f10871,plain,
( e1 = e3
| ~ sP2
| ~ spl4_78
| ~ spl4_101 ),
inference(trivial_inequality_removal,[],[f10870]) ).
fof(f10870,plain,
( e2 != e2
| e1 = e3
| ~ sP2
| ~ spl4_78
| ~ spl4_101 ),
inference(forward_demodulation,[],[f10348,f683]) ).
fof(f10348,plain,
( e1 = e3
| e2 != op(e2,e1)
| ~ sP2
| ~ spl4_101 ),
inference(forward_demodulation,[],[f94,f827]) ).
fof(f10869,plain,
( ~ spl4_9
| spl4_5
| ~ spl4_71
| ~ spl4_96 ),
inference(avatar_split_clause,[],[f10868,f804,f650,f327,f345]) ).
fof(f10868,plain,
( e1 = e3
| ~ sP2
| ~ spl4_71
| ~ spl4_96 ),
inference(trivial_inequality_removal,[],[f10867]) ).
fof(f10867,plain,
( e2 != e2
| e1 = e3
| ~ sP2
| ~ spl4_71
| ~ spl4_96 ),
inference(forward_demodulation,[],[f10866,f805]) ).
fof(f10866,plain,
( e1 = e3
| e2 != op(e1,e3)
| ~ sP2
| ~ spl4_71 ),
inference(forward_demodulation,[],[f92,f651]) ).
fof(f10865,plain,
( ~ spl4_7
| ~ spl4_88
| spl4_5
| ~ spl4_63 ),
inference(avatar_split_clause,[],[f10811,f614,f327,f726,f337]) ).
fof(f10811,plain,
( e1 = e3
| e0 != op(e0,e3)
| ~ sP0
| ~ spl4_63 ),
inference(forward_demodulation,[],[f120,f615]) ).
fof(f10799,plain,
( spl4_113
| spl4_1
| spl4_4
| spl4_5
| ~ spl4_64
| ~ spl4_74
| ~ spl4_78 ),
inference(avatar_split_clause,[],[f10754,f681,f663,f618,f327,f322,f307,f1022]) ).
fof(f10754,plain,
( e1 = e3
| e1 = e2
| e0 = e1
| e1 = op(e3,e1)
| ~ spl4_64
| ~ spl4_74
| ~ spl4_78 ),
inference(forward_demodulation,[],[f10393,f665]) ).
fof(f10393,plain,
( e1 = e2
| e0 = e1
| e1 = op(e3,e1)
| e1 = op(e1,e1)
| ~ spl4_64
| ~ spl4_78 ),
inference(forward_demodulation,[],[f7952,f683]) ).
fof(f7952,plain,
( e0 = e1
| e1 = op(e3,e1)
| e1 = op(e2,e1)
| e1 = op(e1,e1)
| ~ spl4_64 ),
inference(forward_demodulation,[],[f197,f620]) ).
fof(f10784,plain,
( spl4_120
| spl4_3
| spl4_5
| spl4_6
| ~ spl4_63
| ~ spl4_89
| ~ spl4_106 ),
inference(avatar_split_clause,[],[f10744,f860,f734,f614,f332,f327,f317,f1572]) ).
fof(f10744,plain,
( e2 = e3
| e1 = e3
| e0 = e3
| e3 = op(e2,e0)
| ~ spl4_63
| ~ spl4_89
| ~ spl4_106 ),
inference(forward_demodulation,[],[f7553,f862]) ).
fof(f7553,plain,
( e1 = e3
| e0 = e3
| e3 = op(e3,e0)
| e3 = op(e2,e0)
| ~ spl4_63
| ~ spl4_89 ),
inference(forward_demodulation,[],[f7312,f615]) ).
fof(f7312,plain,
( e0 = e3
| e3 = op(e3,e0)
| e3 = op(e2,e0)
| op(e0,e0) = e3
| ~ spl4_89 ),
inference(forward_demodulation,[],[f193,f736]) ).
fof(f10777,plain,
( spl4_86
| spl4_6
| spl4_3
| spl4_5
| ~ spl4_85
| ~ spl4_100
| ~ spl4_106 ),
inference(avatar_split_clause,[],[f10712,f860,f822,f713,f327,f317,f332,f717]) ).
fof(f10712,plain,
( e1 = e3
| e0 = e3
| e2 = e3
| e3 = op(e3,e1)
| ~ spl4_85
| ~ spl4_100
| ~ spl4_106 ),
inference(forward_demodulation,[],[f2998,f714]) ).
fof(f2998,plain,
( e0 = e3
| e2 = e3
| e3 = op(e3,e3)
| e3 = op(e3,e1)
| ~ spl4_100
| ~ spl4_106 ),
inference(forward_demodulation,[],[f2204,f823]) ).
fof(f10764,plain,
( spl4_96
| spl4_4
| spl4_6
| ~ spl4_79
| ~ spl4_85
| ~ spl4_111 ),
inference(avatar_split_clause,[],[f10361,f926,f713,f686,f332,f322,f804]) ).
fof(f10361,plain,
( e2 = e3
| e1 = e2
| e2 = op(e1,e3)
| ~ spl4_79
| ~ spl4_85
| ~ spl4_111 ),
inference(forward_demodulation,[],[f9521,f928]) ).
fof(f9521,plain,
( e1 = e2
| e2 = op(e1,e3)
| e2 = op(e0,e3)
| ~ spl4_79
| ~ spl4_85 ),
inference(duplicate_literal_removal,[],[f9520]) ).
fof(f9520,plain,
( e1 = e2
| e1 = e2
| e2 = op(e1,e3)
| e2 = op(e0,e3)
| ~ spl4_79
| ~ spl4_85 ),
inference(forward_demodulation,[],[f6999,f714]) ).
fof(f6999,plain,
( e1 = e2
| e2 = op(e3,e3)
| e2 = op(e1,e3)
| e2 = op(e0,e3)
| ~ spl4_79 ),
inference(forward_demodulation,[],[f215,f687]) ).
fof(f10763,plain,
( ~ spl4_105
| spl4_20
| ~ spl4_106 ),
inference(avatar_split_clause,[],[f7440,f860,f399,f856]) ).
fof(f7440,plain,
( e2 != op(e2,e0)
| spl4_20
| ~ spl4_106 ),
inference(superposition,[],[f401,f862]) ).
fof(f10747,plain,
( spl4_5
| spl4_3
| spl4_6
| ~ spl4_84
| ~ spl4_85
| ~ spl4_100
| ~ spl4_106 ),
inference(avatar_split_clause,[],[f10731,f860,f822,f713,f708,f332,f317,f327]) ).
fof(f10731,plain,
( e2 = e3
| e0 = e3
| e1 = e3
| ~ spl4_84
| ~ spl4_85
| ~ spl4_100
| ~ spl4_106 ),
inference(duplicate_literal_removal,[],[f10730]) ).
fof(f10730,plain,
( e2 = e3
| e0 = e3
| e1 = e3
| e2 = e3
| ~ spl4_84
| ~ spl4_85
| ~ spl4_100
| ~ spl4_106 ),
inference(forward_demodulation,[],[f10723,f710]) ).
fof(f10723,plain,
( e0 = e3
| e1 = e3
| e2 = e3
| e3 = op(e3,e1)
| ~ spl4_85
| ~ spl4_100
| ~ spl4_106 ),
inference(forward_demodulation,[],[f10722,f823]) ).
fof(f10722,plain,
( e1 = e3
| e2 = e3
| e3 = op(e3,e2)
| e3 = op(e3,e1)
| ~ spl4_85
| ~ spl4_106 ),
inference(forward_demodulation,[],[f2204,f714]) ).
fof(f10729,plain,
( spl4_5
| spl4_6
| spl4_3
| ~ spl4_63
| ~ spl4_89
| ~ spl4_105
| ~ spl4_106 ),
inference(avatar_split_clause,[],[f10700,f860,f856,f734,f614,f317,f332,f327]) ).
fof(f10700,plain,
( e0 = e3
| e2 = e3
| e1 = e3
| ~ spl4_63
| ~ spl4_89
| ~ spl4_105
| ~ spl4_106 ),
inference(forward_demodulation,[],[f10699,f736]) ).
fof(f10699,plain,
( e2 = e3
| e1 = e3
| e3 = op(e1,e0)
| ~ spl4_63
| ~ spl4_105
| ~ spl4_106 ),
inference(duplicate_literal_removal,[],[f10698]) ).
fof(f10698,plain,
( e2 = e3
| e1 = e3
| e2 = e3
| e3 = op(e1,e0)
| ~ spl4_63
| ~ spl4_105
| ~ spl4_106 ),
inference(forward_demodulation,[],[f7667,f858]) ).
fof(f7667,plain,
( e1 = e3
| e2 = e3
| e3 = op(e2,e0)
| e3 = op(e1,e0)
| ~ spl4_63
| ~ spl4_106 ),
inference(forward_demodulation,[],[f3361,f615]) ).
fof(f3361,plain,
( e2 = e3
| e3 = op(e2,e0)
| e3 = op(e1,e0)
| op(e0,e0) = e3
| ~ spl4_106 ),
inference(forward_demodulation,[],[f193,f862]) ).
fof(f10693,plain,
( ~ spl4_7
| spl4_106
| ~ spl4_100 ),
inference(avatar_split_clause,[],[f10669,f822,f860,f337]) ).
fof(f10669,plain,
( e2 = op(e3,e0)
| ~ sP0
| ~ spl4_100 ),
inference(trivial_inequality_removal,[],[f10668]) ).
fof(f10668,plain,
( e0 != e0
| e2 = op(e3,e0)
| ~ sP0
| ~ spl4_100 ),
inference(forward_demodulation,[],[f131,f823]) ).
fof(f131,plain,
( e2 = op(e3,e0)
| e0 != op(e3,e2)
| ~ sP0 ),
inference(cnf_transformation,[],[f62]) ).
fof(f10658,plain,
( ~ spl4_7
| spl4_4
| ~ spl4_81
| ~ spl4_100 ),
inference(avatar_split_clause,[],[f10590,f822,f695,f322,f337]) ).
fof(f10590,plain,
( e1 = e2
| ~ sP0
| ~ spl4_81
| ~ spl4_100 ),
inference(trivial_inequality_removal,[],[f10589]) ).
fof(f10589,plain,
( e0 != e0
| e1 = e2
| ~ sP0
| ~ spl4_81
| ~ spl4_100 ),
inference(forward_demodulation,[],[f10344,f823]) ).
fof(f10344,plain,
( e1 = e2
| e0 != op(e3,e2)
| ~ sP0
| ~ spl4_81 ),
inference(forward_demodulation,[],[f131,f696]) ).
fof(f10595,plain,
( spl4_1
| ~ spl4_67
| ~ spl4_81
| ~ spl4_89
| ~ spl4_111 ),
inference(avatar_split_clause,[],[f10594,f926,f734,f695,f632,f307]) ).
fof(f10594,plain,
( e0 = e1
| ~ spl4_67
| ~ spl4_81
| ~ spl4_89
| ~ spl4_111 ),
inference(forward_demodulation,[],[f10593,f736]) ).
fof(f10593,plain,
( e1 = op(e1,e0)
| ~ spl4_67
| ~ spl4_81
| ~ spl4_111 ),
inference(forward_demodulation,[],[f696,f10428]) ).
fof(f10508,plain,
( spl4_104
| ~ spl4_67
| ~ spl4_106
| ~ spl4_111 ),
inference(avatar_split_clause,[],[f10503,f926,f860,f632,f852]) ).
fof(f852,plain,
( spl4_104
<=> e2 = op(e1,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_104])]) ).
fof(f10503,plain,
( e2 = op(e1,e0)
| ~ spl4_67
| ~ spl4_106
| ~ spl4_111 ),
inference(forward_demodulation,[],[f862,f10428]) ).
fof(f10437,plain,
( ~ spl4_9
| spl4_87
| ~ spl4_93 ),
inference(avatar_split_clause,[],[f10185,f758,f722,f345]) ).
fof(f10185,plain,
( e0 = op(e0,e2)
| ~ sP2
| ~ spl4_93 ),
inference(trivial_inequality_removal,[],[f10184]) ).
fof(f10184,plain,
( e2 != e2
| e0 = op(e0,e2)
| ~ sP2
| ~ spl4_93 ),
inference(forward_demodulation,[],[f85,f760]) ).
fof(f85,plain,
( e0 = op(e0,e2)
| op(e0,e0) != e2
| ~ sP2 ),
inference(cnf_transformation,[],[f60]) ).
fof(f10322,plain,
( ~ spl4_7
| spl4_104
| ~ spl4_108 ),
inference(avatar_split_clause,[],[f10238,f902,f852,f337]) ).
fof(f10238,plain,
( e2 = op(e1,e0)
| ~ sP0
| ~ spl4_108 ),
inference(trivial_inequality_removal,[],[f10237]) ).
fof(f10237,plain,
( e0 != e0
| e2 = op(e1,e0)
| ~ sP0
| ~ spl4_108 ),
inference(forward_demodulation,[],[f123,f904]) ).
fof(f123,plain,
( e2 = op(e1,e0)
| e0 != op(e1,e2)
| ~ sP0 ),
inference(cnf_transformation,[],[f62]) ).
fof(f10284,plain,
( ~ spl4_7
| spl4_4
| ~ spl4_69
| ~ spl4_108 ),
inference(avatar_split_clause,[],[f10265,f902,f641,f322,f337]) ).
fof(f10265,plain,
( e1 = e2
| ~ sP0
| ~ spl4_69
| ~ spl4_108 ),
inference(forward_demodulation,[],[f10238,f642]) ).
fof(f10260,plain,
( ~ spl4_9
| spl4_1
| ~ spl4_65
| ~ spl4_93 ),
inference(avatar_split_clause,[],[f10243,f758,f623,f307,f345]) ).
fof(f10243,plain,
( e0 = e1
| ~ sP2
| ~ spl4_65
| ~ spl4_93 ),
inference(forward_demodulation,[],[f10185,f624]) ).
fof(f10242,plain,
( ~ spl4_7
| spl4_4
| ~ spl4_64
| ~ spl4_93 ),
inference(avatar_split_clause,[],[f10241,f758,f618,f322,f337]) ).
fof(f10241,plain,
( e1 = e2
| ~ sP0
| ~ spl4_64
| ~ spl4_93 ),
inference(trivial_inequality_removal,[],[f10240]) ).
fof(f10240,plain,
( e0 != e0
| e1 = e2
| ~ sP0
| ~ spl4_64
| ~ spl4_93 ),
inference(forward_demodulation,[],[f10239,f620]) ).
fof(f10239,plain,
( e1 = e2
| e0 != op(e0,e1)
| ~ sP0
| ~ spl4_93 ),
inference(forward_demodulation,[],[f118,f760]) ).
fof(f10236,plain,
( ~ spl4_9
| spl4_83
| ~ spl4_84 ),
inference(avatar_split_clause,[],[f9899,f708,f704,f345]) ).
fof(f9899,plain,
( e1 = op(e3,e2)
| ~ sP2
| ~ spl4_84 ),
inference(trivial_inequality_removal,[],[f9113]) ).
fof(f9113,plain,
( e2 != e2
| e1 = op(e3,e2)
| ~ sP2
| ~ spl4_84 ),
inference(forward_demodulation,[],[f98,f710]) ).
fof(f10235,plain,
( ~ spl4_89
| spl4_46
| ~ spl4_108 ),
inference(avatar_split_clause,[],[f8425,f902,f529,f734]) ).
fof(f529,plain,
( spl4_46
<=> op(e1,e0) = op(e1,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_46])]) ).
fof(f8425,plain,
( e0 != op(e1,e0)
| spl4_46
| ~ spl4_108 ),
inference(superposition,[],[f531,f904]) ).
fof(f531,plain,
( op(e1,e0) != op(e1,e2)
| spl4_46 ),
inference(avatar_component_clause,[],[f529]) ).
fof(f10178,plain,
( spl4_98
| spl4_1
| spl4_3
| spl4_2
| ~ spl4_75
| ~ spl4_78
| ~ spl4_101 ),
inference(avatar_split_clause,[],[f10113,f826,f681,f668,f312,f317,f307,f813]) ).
fof(f10113,plain,
( e0 = e2
| e0 = e3
| e0 = e1
| e0 = op(e2,e3)
| ~ spl4_75
| ~ spl4_78
| ~ spl4_101 ),
inference(forward_demodulation,[],[f10112,f683]) ).
fof(f10177,plain,
( ~ spl4_7
| ~ spl4_82
| spl4_81 ),
inference(avatar_split_clause,[],[f130,f695,f699,f337]) ).
fof(f130,plain,
( e1 = op(e3,e0)
| e0 != op(e3,e1)
| ~ sP0 ),
inference(cnf_transformation,[],[f62]) ).
fof(f10089,plain,
( spl4_6
| spl4_2
| spl4_4
| ~ spl4_67
| ~ spl4_85
| ~ spl4_98
| ~ spl4_117 ),
inference(avatar_split_clause,[],[f10076,f1073,f813,f713,f632,f322,f312,f332]) ).
fof(f10076,plain,
( e1 = e2
| e0 = e2
| e2 = e3
| ~ spl4_67
| ~ spl4_85
| ~ spl4_98
| ~ spl4_117 ),
inference(duplicate_literal_removal,[],[f10075]) ).
fof(f10075,plain,
( e1 = e2
| e0 = e2
| e1 = e2
| e2 = e3
| ~ spl4_67
| ~ spl4_85
| ~ spl4_98
| ~ spl4_117 ),
inference(forward_demodulation,[],[f10074,f633]) ).
fof(f10074,plain,
( e0 = e2
| e1 = e2
| e2 = e3
| e2 = op(e0,e3)
| ~ spl4_85
| ~ spl4_98
| ~ spl4_117 ),
inference(forward_demodulation,[],[f9165,f814]) ).
fof(f9165,plain,
( e1 = e2
| e2 = e3
| e2 = op(e2,e3)
| e2 = op(e0,e3)
| ~ spl4_85
| ~ spl4_117 ),
inference(forward_demodulation,[],[f4359,f714]) ).
fof(f10073,plain,
( spl4_117
| spl4_3
| spl4_5
| ~ spl4_67
| ~ spl4_85
| ~ spl4_98 ),
inference(avatar_split_clause,[],[f9758,f813,f713,f632,f327,f317,f1073]) ).
fof(f9758,plain,
( e1 = e3
| e0 = e3
| e3 = op(e1,e3)
| ~ spl4_67
| ~ spl4_85
| ~ spl4_98 ),
inference(duplicate_literal_removal,[],[f9757]) ).
fof(f9757,plain,
( e1 = e3
| e0 = e3
| e1 = e3
| e3 = op(e1,e3)
| ~ spl4_67
| ~ spl4_85
| ~ spl4_98 ),
inference(forward_demodulation,[],[f6435,f714]) ).
fof(f6435,plain,
( e0 = e3
| e1 = e3
| e3 = op(e3,e3)
| e3 = op(e1,e3)
| ~ spl4_67
| ~ spl4_98 ),
inference(forward_demodulation,[],[f6180,f814]) ).
fof(f10018,plain,
( spl4_5
| spl4_6
| spl4_3
| ~ spl4_82
| ~ spl4_85
| ~ spl4_91
| ~ spl4_119 ),
inference(avatar_split_clause,[],[f9960,f1566,f742,f713,f699,f317,f332,f327]) ).
fof(f9960,plain,
( e0 = e3
| e2 = e3
| e1 = e3
| ~ spl4_82
| ~ spl4_85
| ~ spl4_91
| ~ spl4_119 ),
inference(duplicate_literal_removal,[],[f9959]) ).
fof(f9959,plain,
( e0 = e3
| e2 = e3
| e1 = e3
| e0 = e3
| ~ spl4_82
| ~ spl4_85
| ~ spl4_91
| ~ spl4_119 ),
inference(forward_demodulation,[],[f9958,f744]) ).
fof(f9958,plain,
( e2 = e3
| e1 = e3
| e0 = e3
| e3 = op(e3,e0)
| ~ spl4_82
| ~ spl4_85
| ~ spl4_119 ),
inference(forward_demodulation,[],[f9957,f1568]) ).
fof(f9957,plain,
( e1 = e3
| e0 = e3
| e3 = op(e3,e2)
| e3 = op(e3,e0)
| ~ spl4_82
| ~ spl4_85 ),
inference(forward_demodulation,[],[f6407,f714]) ).
fof(f6407,plain,
( e0 = e3
| e3 = op(e3,e3)
| e3 = op(e3,e2)
| e3 = op(e3,e0)
| ~ spl4_82 ),
inference(forward_demodulation,[],[f216,f701]) ).
fof(f701,plain,
( e0 = op(e3,e1)
| ~ spl4_82 ),
inference(avatar_component_clause,[],[f699]) ).
fof(f10016,plain,
( ~ spl4_84
| spl4_60
| ~ spl4_119 ),
inference(avatar_split_clause,[],[f6797,f1566,f599,f708]) ).
fof(f6797,plain,
( e2 != op(e3,e1)
| spl4_60
| ~ spl4_119 ),
inference(superposition,[],[f601,f1568]) ).
fof(f9910,plain,
( spl4_113
| spl4_5
| ~ spl4_68
| ~ spl4_74
| ~ spl4_80 ),
inference(avatar_split_clause,[],[f9859,f690,f663,f636,f327,f1022]) ).
fof(f9859,plain,
( e1 = e3
| e1 = op(e3,e1)
| ~ spl4_68
| ~ spl4_74
| ~ spl4_80 ),
inference(duplicate_literal_removal,[],[f9858]) ).
fof(f9858,plain,
( e1 = e3
| e1 = e3
| e1 = op(e3,e1)
| ~ spl4_68
| ~ spl4_74
| ~ spl4_80 ),
inference(forward_demodulation,[],[f9857,f638]) ).
fof(f9857,plain,
( e1 = e3
| e1 = op(e3,e1)
| e1 = op(e0,e1)
| ~ spl4_74
| ~ spl4_80 ),
inference(duplicate_literal_removal,[],[f9856]) ).
fof(f9856,plain,
( e1 = e3
| e1 = e3
| e1 = op(e3,e1)
| e1 = op(e0,e1)
| ~ spl4_74
| ~ spl4_80 ),
inference(forward_demodulation,[],[f7064,f665]) ).
fof(f9898,plain,
( spl4_84
| spl4_6
| ~ spl4_68
| ~ spl4_74
| ~ spl4_80 ),
inference(avatar_split_clause,[],[f9855,f690,f663,f636,f332,f708]) ).
fof(f9855,plain,
( e2 = e3
| e2 = op(e3,e1)
| ~ spl4_68
| ~ spl4_74
| ~ spl4_80 ),
inference(duplicate_literal_removal,[],[f9854]) ).
fof(f9854,plain,
( e2 = e3
| e2 = e3
| e2 = op(e3,e1)
| ~ spl4_68
| ~ spl4_74
| ~ spl4_80 ),
inference(forward_demodulation,[],[f9853,f638]) ).
fof(f9853,plain,
( e2 = e3
| e2 = op(e3,e1)
| e2 = op(e0,e1)
| ~ spl4_74
| ~ spl4_80 ),
inference(duplicate_literal_removal,[],[f9852]) ).
fof(f9852,plain,
( e2 = e3
| e2 = e3
| e2 = op(e3,e1)
| e2 = op(e0,e1)
| ~ spl4_74
| ~ spl4_80 ),
inference(forward_demodulation,[],[f7120,f665]) ).
fof(f7120,plain,
( e2 = e3
| e2 = op(e3,e1)
| e2 = op(e1,e1)
| e2 = op(e0,e1)
| ~ spl4_80 ),
inference(forward_demodulation,[],[f199,f692]) ).
fof(f9833,plain,
( spl4_84
| spl4_6
| spl4_4
| ~ spl4_83
| ~ spl4_85
| ~ spl4_122 ),
inference(avatar_split_clause,[],[f9698,f3961,f713,f704,f322,f332,f708]) ).
fof(f9698,plain,
( e1 = e2
| e2 = e3
| e2 = op(e3,e1)
| ~ spl4_83
| ~ spl4_85
| ~ spl4_122 ),
inference(duplicate_literal_removal,[],[f9697]) ).
fof(f9697,plain,
( e1 = e2
| e1 = e2
| e2 = e3
| e2 = op(e3,e1)
| ~ spl4_83
| ~ spl4_85
| ~ spl4_122 ),
inference(forward_demodulation,[],[f9696,f705]) ).
fof(f9696,plain,
( e1 = e2
| e2 = e3
| e2 = op(e3,e2)
| e2 = op(e3,e1)
| ~ spl4_85
| ~ spl4_122 ),
inference(forward_demodulation,[],[f4170,f714]) ).
fof(f4170,plain,
( e2 = e3
| e2 = op(e3,e3)
| e2 = op(e3,e2)
| e2 = op(e3,e1)
| ~ spl4_122 ),
inference(forward_demodulation,[],[f214,f3963]) ).
fof(f9821,plain,
( spl4_6
| spl4_2
| spl4_4
| ~ spl4_75
| ~ spl4_98
| ~ spl4_101
| ~ spl4_118 ),
inference(avatar_split_clause,[],[f9774,f1532,f826,f813,f668,f322,f312,f332]) ).
fof(f9774,plain,
( e1 = e2
| e0 = e2
| e2 = e3
| ~ spl4_75
| ~ spl4_98
| ~ spl4_101
| ~ spl4_118 ),
inference(duplicate_literal_removal,[],[f9773]) ).
fof(f9773,plain,
( e1 = e2
| e1 = e2
| e0 = e2
| e2 = e3
| ~ spl4_75
| ~ spl4_98
| ~ spl4_101
| ~ spl4_118 ),
inference(forward_demodulation,[],[f9772,f669]) ).
fof(f9772,plain,
( e1 = e2
| e0 = e2
| e2 = e3
| e2 = op(e2,e0)
| ~ spl4_98
| ~ spl4_101
| ~ spl4_118 ),
inference(forward_demodulation,[],[f9771,f1534]) ).
fof(f9771,plain,
( e0 = e2
| e2 = e3
| e2 = op(e2,e1)
| e2 = op(e2,e0)
| ~ spl4_98
| ~ spl4_101 ),
inference(forward_demodulation,[],[f2194,f814]) ).
fof(f9754,plain,
( spl4_1
| ~ spl4_69
| ~ spl4_89 ),
inference(avatar_split_clause,[],[f9724,f734,f641,f307]) ).
fof(f9724,plain,
( e0 = e1
| ~ spl4_69
| ~ spl4_89 ),
inference(forward_demodulation,[],[f642,f736]) ).
fof(f9675,plain,
( ~ spl4_10
| ~ spl4_74
| spl4_73 ),
inference(avatar_split_clause,[],[f74,f659,f663,f349]) ).
fof(f74,plain,
( e1 = op(e1,e3)
| e3 != op(e1,e1)
| ~ sP3 ),
inference(cnf_transformation,[],[f59]) ).
fof(f9668,plain,
( spl4_86
| spl4_5
| ~ spl4_81
| ~ spl4_83
| ~ spl4_85 ),
inference(avatar_split_clause,[],[f9660,f713,f704,f695,f327,f717]) ).
fof(f9660,plain,
( e1 = e3
| e3 = op(e3,e1)
| ~ spl4_81
| ~ spl4_83
| ~ spl4_85 ),
inference(duplicate_literal_removal,[],[f9659]) ).
fof(f9659,plain,
( e1 = e3
| e1 = e3
| e3 = op(e3,e1)
| ~ spl4_81
| ~ spl4_83
| ~ spl4_85 ),
inference(forward_demodulation,[],[f9658,f696]) ).
fof(f9658,plain,
( e1 = e3
| e3 = op(e3,e1)
| e3 = op(e3,e0)
| ~ spl4_83
| ~ spl4_85 ),
inference(duplicate_literal_removal,[],[f9657]) ).
fof(f9657,plain,
( e1 = e3
| e1 = e3
| e3 = op(e3,e1)
| e3 = op(e3,e0)
| ~ spl4_83
| ~ spl4_85 ),
inference(forward_demodulation,[],[f2057,f714]) ).
fof(f9643,plain,
( spl4_122
| spl4_5
| ~ spl4_83
| ~ spl4_85
| ~ spl4_113 ),
inference(avatar_split_clause,[],[f9573,f1022,f713,f704,f327,f3961]) ).
fof(f9573,plain,
( e1 = e3
| e3 = op(e3,e0)
| ~ spl4_83
| ~ spl4_85
| ~ spl4_113 ),
inference(duplicate_literal_removal,[],[f9572]) ).
fof(f9572,plain,
( e1 = e3
| e1 = e3
| e3 = op(e3,e0)
| ~ spl4_83
| ~ spl4_85
| ~ spl4_113 ),
inference(forward_demodulation,[],[f7295,f714]) ).
fof(f7295,plain,
( e1 = e3
| e3 = op(e3,e3)
| e3 = op(e3,e0)
| ~ spl4_83
| ~ spl4_113 ),
inference(duplicate_literal_removal,[],[f7193]) ).
fof(f7193,plain,
( e1 = e3
| e1 = e3
| e3 = op(e3,e3)
| e3 = op(e3,e0)
| ~ spl4_83
| ~ spl4_113 ),
inference(forward_demodulation,[],[f5907,f1024]) ).
fof(f5907,plain,
( e1 = e3
| e3 = op(e3,e3)
| e3 = op(e3,e1)
| e3 = op(e3,e0)
| ~ spl4_83 ),
inference(forward_demodulation,[],[f216,f705]) ).
fof(f9641,plain,
( ~ spl4_68
| spl4_43
| ~ spl4_111 ),
inference(avatar_split_clause,[],[f8206,f926,f514,f636]) ).
fof(f8206,plain,
( e3 != op(e0,e1)
| spl4_43
| ~ spl4_111 ),
inference(superposition,[],[f516,f928]) ).
fof(f9544,plain,
( ~ spl4_10
| spl4_1
| ~ spl4_79
| ~ spl4_120 ),
inference(avatar_split_clause,[],[f9540,f1572,f686,f307,f349]) ).
fof(f9540,plain,
( e0 = e1
| ~ sP3
| ~ spl4_79
| ~ spl4_120 ),
inference(trivial_inequality_removal,[],[f9539]) ).
fof(f9539,plain,
( e3 != e3
| e0 = e1
| ~ sP3
| ~ spl4_79
| ~ spl4_120 ),
inference(forward_demodulation,[],[f9538,f1574]) ).
fof(f9538,plain,
( e0 = e1
| e3 != op(e2,e0)
| ~ sP3
| ~ spl4_79 ),
inference(forward_demodulation,[],[f77,f687]) ).
fof(f9537,plain,
( ~ spl4_7
| spl4_4
| ~ spl4_70
| ~ spl4_104 ),
inference(avatar_split_clause,[],[f9278,f852,f645,f322,f337]) ).
fof(f9278,plain,
( e1 = e2
| ~ sP0
| ~ spl4_70
| ~ spl4_104 ),
inference(trivial_inequality_removal,[],[f9277]) ).
fof(f9277,plain,
( e0 != e0
| e1 = e2
| ~ sP0
| ~ spl4_70
| ~ spl4_104 ),
inference(forward_demodulation,[],[f9154,f647]) ).
fof(f647,plain,
( e0 = op(e1,e1)
| ~ spl4_70 ),
inference(avatar_component_clause,[],[f645]) ).
fof(f9154,plain,
( e1 = e2
| e0 != op(e1,e1)
| ~ sP0
| ~ spl4_104 ),
inference(forward_demodulation,[],[f122,f854]) ).
fof(f854,plain,
( e2 = op(e1,e0)
| ~ spl4_104 ),
inference(avatar_component_clause,[],[f852]) ).
fof(f122,plain,
( e1 = op(e1,e0)
| e0 != op(e1,e1)
| ~ sP0 ),
inference(cnf_transformation,[],[f62]) ).
fof(f9457,plain,
( ~ spl4_7
| spl4_4
| ~ spl4_63
| ~ spl4_87 ),
inference(avatar_split_clause,[],[f9445,f722,f614,f322,f337]) ).
fof(f9445,plain,
( e1 = e2
| ~ sP0
| ~ spl4_63
| ~ spl4_87 ),
inference(trivial_inequality_removal,[],[f9444]) ).
fof(f9444,plain,
( e0 != e0
| e1 = e2
| ~ sP0
| ~ spl4_63
| ~ spl4_87 ),
inference(forward_demodulation,[],[f9443,f724]) ).
fof(f9443,plain,
( e1 = e2
| e0 != op(e0,e2)
| ~ sP0
| ~ spl4_63 ),
inference(forward_demodulation,[],[f119,f615]) ).
fof(f9442,plain,
( ~ spl4_10
| ~ spl4_101
| spl4_2
| ~ spl4_98 ),
inference(avatar_split_clause,[],[f9344,f813,f312,f826,f349]) ).
fof(f9344,plain,
( e0 = e2
| e3 != op(e2,e2)
| ~ sP3
| ~ spl4_98 ),
inference(forward_demodulation,[],[f79,f814]) ).
fof(f9441,plain,
( ~ spl4_10
| ~ spl4_80
| spl4_1
| ~ spl4_98 ),
inference(avatar_split_clause,[],[f9343,f813,f307,f690,f349]) ).
fof(f9343,plain,
( e0 = e1
| e3 != op(e2,e1)
| ~ sP3
| ~ spl4_98 ),
inference(forward_demodulation,[],[f78,f814]) ).
fof(f78,plain,
( e1 = op(e2,e3)
| e3 != op(e2,e1)
| ~ sP3 ),
inference(cnf_transformation,[],[f59]) ).
fof(f9336,plain,
( ~ spl4_9
| spl4_3
| ~ spl4_87
| ~ spl4_95 ),
inference(avatar_split_clause,[],[f9290,f766,f722,f317,f345]) ).
fof(f9290,plain,
( e0 = e3
| ~ sP2
| ~ spl4_87
| ~ spl4_95 ),
inference(trivial_inequality_removal,[],[f9289]) ).
fof(f9289,plain,
( e2 != e2
| e0 = e3
| ~ sP2
| ~ spl4_87
| ~ spl4_95 ),
inference(forward_demodulation,[],[f9288,f768]) ).
fof(f9288,plain,
( e0 = e3
| e2 != op(e0,e3)
| ~ sP2
| ~ spl4_87 ),
inference(forward_demodulation,[],[f88,f724]) ).
fof(f9279,plain,
( ~ spl4_7
| spl4_5
| ~ spl4_75
| ~ spl4_98 ),
inference(avatar_split_clause,[],[f9274,f813,f668,f327,f337]) ).
fof(f9274,plain,
( e1 = e3
| ~ sP0
| ~ spl4_75
| ~ spl4_98 ),
inference(trivial_inequality_removal,[],[f9273]) ).
fof(f9273,plain,
( e0 != e0
| e1 = e3
| ~ sP0
| ~ spl4_75
| ~ spl4_98 ),
inference(forward_demodulation,[],[f9172,f814]) ).
fof(f9172,plain,
( e1 = e3
| e0 != op(e2,e3)
| ~ sP0
| ~ spl4_75 ),
inference(forward_demodulation,[],[f128,f669]) ).
fof(f9272,plain,
( ~ spl4_10
| spl4_88
| ~ spl4_107 ),
inference(avatar_split_clause,[],[f9164,f883,f726,f349]) ).
fof(f9164,plain,
( e0 = op(e0,e3)
| ~ sP3
| ~ spl4_107 ),
inference(trivial_inequality_removal,[],[f9163]) ).
fof(f9163,plain,
( e3 != e3
| e0 = op(e0,e3)
| ~ sP3
| ~ spl4_107 ),
inference(forward_demodulation,[],[f69,f884]) ).
fof(f69,plain,
( e0 = op(e0,e3)
| op(e0,e0) != e3
| ~ sP3 ),
inference(cnf_transformation,[],[f59]) ).
fof(f9270,plain,
( ~ spl4_73
| spl4_37
| ~ spl4_85 ),
inference(avatar_split_clause,[],[f4486,f713,f484,f659]) ).
fof(f484,plain,
( spl4_37
<=> op(e1,e3) = op(e3,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_37])]) ).
fof(f4486,plain,
( e1 != op(e1,e3)
| spl4_37
| ~ spl4_85 ),
inference(superposition,[],[f486,f714]) ).
fof(f486,plain,
( op(e1,e3) != op(e3,e3)
| spl4_37 ),
inference(avatar_component_clause,[],[f484]) ).
fof(f9146,plain,
( spl4_12
| spl4_73
| spl4_1
| spl4_4
| ~ spl4_104
| ~ spl4_108 ),
inference(avatar_split_clause,[],[f4158,f902,f852,f322,f307,f659,f359]) ).
fof(f4158,plain,
( e1 = e2
| e0 = e1
| e1 = op(e1,e3)
| e1 = op(e1,e1)
| ~ spl4_104
| ~ spl4_108 ),
inference(forward_demodulation,[],[f3853,f854]) ).
fof(f3853,plain,
( e0 = e1
| e1 = op(e1,e3)
| e1 = op(e1,e1)
| e1 = op(e1,e0)
| ~ spl4_108 ),
inference(forward_demodulation,[],[f196,f904]) ).
fof(f196,plain,
( e1 = op(e1,e3)
| e1 = op(e1,e2)
| e1 = op(e1,e1)
| e1 = op(e1,e0) ),
inference(cnf_transformation,[],[f2]) ).
fof(f9137,plain,
( spl4_115
| spl4_6
| spl4_5
| spl4_3
| ~ spl4_84
| ~ spl4_85
| ~ spl4_91 ),
inference(avatar_split_clause,[],[f9026,f742,f713,f708,f317,f327,f332,f1064]) ).
fof(f9026,plain,
( e0 = e3
| e1 = e3
| e2 = e3
| e3 = op(e3,e2)
| ~ spl4_84
| ~ spl4_85
| ~ spl4_91 ),
inference(forward_demodulation,[],[f9025,f744]) ).
fof(f9025,plain,
( e1 = e3
| e2 = e3
| e3 = op(e3,e2)
| e3 = op(e3,e0)
| ~ spl4_84
| ~ spl4_85 ),
inference(forward_demodulation,[],[f5371,f714]) ).
fof(f5371,plain,
( e2 = e3
| e3 = op(e3,e3)
| e3 = op(e3,e2)
| e3 = op(e3,e0)
| ~ spl4_84 ),
inference(forward_demodulation,[],[f216,f710]) ).
fof(f9121,plain,
( ~ spl4_10
| spl4_4
| ~ spl4_80
| ~ spl4_114 ),
inference(avatar_split_clause,[],[f9120,f1035,f690,f322,f349]) ).
fof(f9120,plain,
( e1 = e2
| ~ sP3
| ~ spl4_80
| ~ spl4_114 ),
inference(trivial_inequality_removal,[],[f9119]) ).
fof(f9119,plain,
( e3 != e3
| e1 = e2
| ~ sP3
| ~ spl4_80
| ~ spl4_114 ),
inference(forward_demodulation,[],[f9118,f692]) ).
fof(f9118,plain,
( e1 = e2
| e3 != op(e2,e1)
| ~ sP3
| ~ spl4_114 ),
inference(forward_demodulation,[],[f78,f1037]) ).
fof(f9117,plain,
( ~ spl4_9
| spl4_3
| ~ spl4_103
| ~ spl4_114 ),
inference(avatar_split_clause,[],[f9093,f1035,f835,f317,f345]) ).
fof(f9093,plain,
( e0 = e3
| ~ sP2
| ~ spl4_103
| ~ spl4_114 ),
inference(forward_demodulation,[],[f3254,f836]) ).
fof(f3254,plain,
( e3 = op(e2,e2)
| ~ sP2
| ~ spl4_114 ),
inference(trivial_inequality_removal,[],[f1102]) ).
fof(f9092,plain,
( ~ spl4_7
| spl4_105
| ~ spl4_103 ),
inference(avatar_split_clause,[],[f8991,f835,f856,f337]) ).
fof(f8991,plain,
( e2 = op(e2,e0)
| ~ sP0
| ~ spl4_103 ),
inference(trivial_inequality_removal,[],[f8990]) ).
fof(f8990,plain,
( e0 != e0
| e2 = op(e2,e0)
| ~ sP0
| ~ spl4_103 ),
inference(forward_demodulation,[],[f127,f836]) ).
fof(f127,plain,
( e2 = op(e2,e0)
| e0 != op(e2,e2)
| ~ sP0 ),
inference(cnf_transformation,[],[f62]) ).
fof(f9090,plain,
( ~ spl4_81
| ~ spl4_104
| ~ spl4_107 ),
inference(avatar_split_clause,[],[f9008,f883,f852,f695]) ).
fof(f9008,plain,
( e1 != op(e3,e0)
| ~ spl4_104
| ~ spl4_107 ),
inference(trivial_inequality_removal,[],[f9007]) ).
fof(f9007,plain,
( e3 != e3
| e1 != op(e3,e0)
| ~ spl4_104
| ~ spl4_107 ),
inference(forward_demodulation,[],[f8811,f884]) ).
fof(f8811,plain,
( op(e0,e0) != e3
| e1 != op(e3,e0)
| ~ spl4_104 ),
inference(trivial_inequality_removal,[],[f871]) ).
fof(f871,plain,
( e2 != e2
| op(e0,e0) != e3
| e1 != op(e3,e0)
| ~ spl4_104 ),
inference(forward_demodulation,[],[f301,f854]) ).
fof(f301,plain,
( op(e0,e0) != e3
| e1 != op(e3,e0)
| e2 != op(e1,e0) ),
inference(inner_rewriting,[],[f300]) ).
fof(f300,plain,
( op(e0,e0) != e3
| e1 != op(e3,e0)
| e2 != op(op(e3,e0),e0) ),
inference(inner_rewriting,[],[f255]) ).
fof(f255,plain,
( op(e0,e0) != e3
| e1 != op(op(e0,e0),e0)
| e2 != op(op(op(e0,e0),e0),e0) ),
inference(cnf_transformation,[],[f51]) ).
fof(f51,plain,
( op(e0,e0) != e3
| e1 != op(op(e0,e0),e0)
| e2 != op(op(op(e0,e0),e0),e0) ),
inference(ennf_transformation,[],[f8]) ).
fof(f8,axiom,
~ ( op(e0,e0) = e3
& e1 = op(op(e0,e0),e0)
& e2 = op(op(op(e0,e0),e0),e0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax8) ).
fof(f8982,plain,
( ~ spl4_82
| ~ spl4_66
| ~ spl4_74 ),
inference(avatar_split_clause,[],[f8895,f663,f627,f699]) ).
fof(f8895,plain,
( e0 != op(e3,e1)
| ~ spl4_66
| ~ spl4_74 ),
inference(trivial_inequality_removal,[],[f8894]) ).
fof(f8894,plain,
( e2 != e2
| e0 != op(e3,e1)
| ~ spl4_66
| ~ spl4_74 ),
inference(forward_demodulation,[],[f8893,f629]) ).
fof(f8893,plain,
( e0 != op(e3,e1)
| e2 != op(e0,e1)
| ~ spl4_74 ),
inference(trivial_inequality_removal,[],[f8892]) ).
fof(f8892,plain,
( e3 != e3
| e0 != op(e3,e1)
| e2 != op(e0,e1)
| ~ spl4_74 ),
inference(forward_demodulation,[],[f275,f665]) ).
fof(f275,plain,
( e3 != op(e1,e1)
| e0 != op(e3,e1)
| e2 != op(e0,e1) ),
inference(inner_rewriting,[],[f274]) ).
fof(f274,plain,
( e3 != op(e1,e1)
| e0 != op(e3,e1)
| e2 != op(op(e3,e1),e1) ),
inference(inner_rewriting,[],[f242]) ).
fof(f242,plain,
( e3 != op(e1,e1)
| e0 != op(op(e1,e1),e1)
| e2 != op(op(op(e1,e1),e1),e1) ),
inference(cnf_transformation,[],[f38]) ).
fof(f38,plain,
( e3 != op(e1,e1)
| e0 != op(op(e1,e1),e1)
| e2 != op(op(op(e1,e1),e1),e1) ),
inference(ennf_transformation,[],[f14]) ).
fof(f14,axiom,
~ ( e3 = op(e1,e1)
& e0 = op(op(e1,e1),e1)
& e2 = op(op(op(e1,e1),e1),e1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax14) ).
fof(f8886,plain,
( spl4_6
| spl4_5
| spl4_3
| ~ spl4_73
| ~ spl4_88
| ~ spl4_99
| ~ spl4_114 ),
inference(avatar_split_clause,[],[f8831,f1035,f817,f726,f659,f317,f327,f332]) ).
fof(f8831,plain,
( e0 = e3
| e1 = e3
| e2 = e3
| ~ spl4_73
| ~ spl4_88
| ~ spl4_99
| ~ spl4_114 ),
inference(forward_demodulation,[],[f8830,f728]) ).
fof(f8830,plain,
( e1 = e3
| e2 = e3
| e3 = op(e0,e3)
| ~ spl4_73
| ~ spl4_99
| ~ spl4_114 ),
inference(forward_demodulation,[],[f8829,f660]) ).
fof(f8829,plain,
( e2 = e3
| e3 = op(e1,e3)
| e3 = op(e0,e3)
| ~ spl4_99
| ~ spl4_114 ),
inference(duplicate_literal_removal,[],[f8828]) ).
fof(f8828,plain,
( e2 = e3
| e2 = e3
| e3 = op(e1,e3)
| e3 = op(e0,e3)
| ~ spl4_99
| ~ spl4_114 ),
inference(forward_demodulation,[],[f5827,f1037]) ).
fof(f5827,plain,
( e2 = e3
| e3 = op(e2,e3)
| e3 = op(e1,e3)
| e3 = op(e0,e3)
| ~ spl4_99 ),
inference(forward_demodulation,[],[f217,f818]) ).
fof(f8810,plain,
( spl4_4
| ~ spl4_75
| ~ spl4_105 ),
inference(avatar_split_clause,[],[f983,f856,f668,f322]) ).
fof(f983,plain,
( e1 = e2
| ~ spl4_75
| ~ spl4_105 ),
inference(superposition,[],[f669,f858]) ).
fof(f8678,plain,
( spl4_2
| ~ spl4_98
| ~ spl4_114 ),
inference(avatar_split_clause,[],[f8521,f1035,f813,f312]) ).
fof(f8521,plain,
( e0 = e2
| ~ spl4_98
| ~ spl4_114 ),
inference(forward_demodulation,[],[f1037,f814]) ).
fof(f8501,plain,
( ~ spl4_120
| ~ spl4_63
| ~ spl4_104 ),
inference(avatar_split_clause,[],[f8448,f852,f614,f1572]) ).
fof(f8448,plain,
( e3 != op(e2,e0)
| ~ spl4_63
| ~ spl4_104 ),
inference(trivial_inequality_removal,[],[f8447]) ).
fof(f8447,plain,
( e2 != e2
| e3 != op(e2,e0)
| ~ spl4_63
| ~ spl4_104 ),
inference(forward_demodulation,[],[f8446,f854]) ).
fof(f8446,plain,
( e2 != op(e1,e0)
| e3 != op(e2,e0)
| ~ spl4_63 ),
inference(trivial_inequality_removal,[],[f8445]) ).
fof(f8445,plain,
( e1 != e1
| e2 != op(e1,e0)
| e3 != op(e2,e0)
| ~ spl4_63 ),
inference(forward_demodulation,[],[f295,f615]) ).
fof(f295,plain,
( op(e0,e0) != e1
| e2 != op(e1,e0)
| e3 != op(e2,e0) ),
inference(inner_rewriting,[],[f294]) ).
fof(f294,plain,
( op(e0,e0) != e1
| e2 != op(e1,e0)
| e3 != op(op(e1,e0),e0) ),
inference(inner_rewriting,[],[f252]) ).
fof(f252,plain,
( op(e0,e0) != e1
| e2 != op(op(e0,e0),e0)
| e3 != op(op(op(e0,e0),e0),e0) ),
inference(cnf_transformation,[],[f48]) ).
fof(f48,plain,
( op(e0,e0) != e1
| e2 != op(op(e0,e0),e0)
| e3 != op(op(op(e0,e0),e0),e0) ),
inference(ennf_transformation,[],[f11]) ).
fof(f11,axiom,
~ ( op(e0,e0) = e1
& e2 = op(op(e0,e0),e0)
& e3 = op(op(op(e0,e0),e0),e0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax11) ).
fof(f8500,plain,
( ~ spl4_77
| ~ spl4_108
| ~ spl4_110 ),
inference(avatar_split_clause,[],[f8440,f922,f902,f677]) ).
fof(f8440,plain,
( e1 != op(e2,e2)
| ~ spl4_108
| ~ spl4_110 ),
inference(trivial_inequality_removal,[],[f8439]) ).
fof(f8439,plain,
( e3 != e3
| e1 != op(e2,e2)
| ~ spl4_108
| ~ spl4_110 ),
inference(forward_demodulation,[],[f8399,f924]) ).
fof(f8399,plain,
( e1 != op(e2,e2)
| e3 != op(e0,e2)
| ~ spl4_108 ),
inference(trivial_inequality_removal,[],[f5680]) ).
fof(f5680,plain,
( e0 != e0
| e1 != op(e2,e2)
| e3 != op(e0,e2)
| ~ spl4_108 ),
inference(forward_demodulation,[],[f291,f904]) ).
fof(f291,plain,
( e1 != op(e2,e2)
| e0 != op(e1,e2)
| e3 != op(e0,e2) ),
inference(inner_rewriting,[],[f290]) ).
fof(f290,plain,
( e1 != op(e2,e2)
| e0 != op(e1,e2)
| e3 != op(op(e1,e2),e2) ),
inference(inner_rewriting,[],[f250]) ).
fof(f250,plain,
( e1 != op(e2,e2)
| e0 != op(op(e2,e2),e2)
| e3 != op(op(op(e2,e2),e2),e2) ),
inference(cnf_transformation,[],[f46]) ).
fof(f46,plain,
( e1 != op(e2,e2)
| e0 != op(op(e2,e2),e2)
| e3 != op(op(op(e2,e2),e2),e2) ),
inference(ennf_transformation,[],[f22]) ).
fof(f22,axiom,
~ ( e1 = op(e2,e2)
& e0 = op(op(e2,e2),e2)
& e3 = op(op(op(e2,e2),e2),e2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax22) ).
fof(f8430,plain,
( spl4_86
| spl4_6
| spl4_3
| ~ spl4_91
| ~ spl4_97
| ~ spl4_119 ),
inference(avatar_split_clause,[],[f8325,f1566,f808,f742,f317,f332,f717]) ).
fof(f8325,plain,
( e0 = e3
| e2 = e3
| e3 = op(e3,e1)
| ~ spl4_91
| ~ spl4_97
| ~ spl4_119 ),
inference(duplicate_literal_removal,[],[f8324]) ).
fof(f8324,plain,
( e0 = e3
| e2 = e3
| e0 = e3
| e3 = op(e3,e1)
| ~ spl4_91
| ~ spl4_97
| ~ spl4_119 ),
inference(forward_demodulation,[],[f5255,f809]) ).
fof(f5255,plain,
( e2 = e3
| e0 = e3
| e3 = op(e3,e3)
| e3 = op(e3,e1)
| ~ spl4_91
| ~ spl4_119 ),
inference(forward_demodulation,[],[f1676,f1568]) ).
fof(f1676,plain,
( e0 = e3
| e3 = op(e3,e3)
| e3 = op(e3,e2)
| e3 = op(e3,e1)
| ~ spl4_91 ),
inference(forward_demodulation,[],[f216,f744]) ).
fof(f8396,plain,
( spl4_79
| spl4_4
| spl4_1
| ~ spl4_78
| ~ spl4_103
| ~ spl4_105 ),
inference(avatar_split_clause,[],[f8309,f856,f835,f681,f307,f322,f686]) ).
fof(f8309,plain,
( e0 = e1
| e1 = e2
| e1 = op(e2,e3)
| ~ spl4_78
| ~ spl4_103
| ~ spl4_105 ),
inference(forward_demodulation,[],[f7585,f836]) ).
fof(f7585,plain,
( e1 = e2
| e1 = op(e2,e3)
| e1 = op(e2,e2)
| ~ spl4_78
| ~ spl4_105 ),
inference(duplicate_literal_removal,[],[f7584]) ).
fof(f7584,plain,
( e1 = e2
| e1 = e2
| e1 = op(e2,e3)
| e1 = op(e2,e2)
| ~ spl4_78
| ~ spl4_105 ),
inference(forward_demodulation,[],[f5751,f858]) ).
fof(f5751,plain,
( e1 = e2
| e1 = op(e2,e3)
| e1 = op(e2,e2)
| e1 = op(e2,e0)
| ~ spl4_78 ),
inference(forward_demodulation,[],[f204,f683]) ).
fof(f8374,plain,
( spl4_4
| ~ spl4_73
| ~ spl4_96 ),
inference(avatar_split_clause,[],[f8358,f804,f659,f322]) ).
fof(f8358,plain,
( e1 = e2
| ~ spl4_73
| ~ spl4_96 ),
inference(superposition,[],[f805,f660]) ).
fof(f8287,plain,
( spl4_96
| spl4_4
| spl4_6
| ~ spl4_85
| ~ spl4_111
| ~ spl4_121 ),
inference(avatar_split_clause,[],[f8265,f1576,f926,f713,f332,f322,f804]) ).
fof(f8265,plain,
( e2 = e3
| e1 = e2
| e2 = op(e1,e3)
| ~ spl4_85
| ~ spl4_111
| ~ spl4_121 ),
inference(duplicate_literal_removal,[],[f8264]) ).
fof(f8264,plain,
( e2 = e3
| e1 = e2
| e2 = e3
| e2 = op(e1,e3)
| ~ spl4_85
| ~ spl4_111
| ~ spl4_121 ),
inference(forward_demodulation,[],[f8263,f928]) ).
fof(f8263,plain,
( e1 = e2
| e2 = e3
| e2 = op(e1,e3)
| e2 = op(e0,e3)
| ~ spl4_85
| ~ spl4_121 ),
inference(forward_demodulation,[],[f6114,f714]) ).
fof(f6114,plain,
( e2 = e3
| e2 = op(e3,e3)
| e2 = op(e1,e3)
| e2 = op(e0,e3)
| ~ spl4_121 ),
inference(forward_demodulation,[],[f215,f1578]) ).
fof(f8255,plain,
( spl4_102
| spl4_3
| spl4_5
| spl4_6
| ~ spl4_77
| ~ spl4_94
| ~ spl4_100 ),
inference(avatar_split_clause,[],[f8186,f822,f762,f677,f332,f327,f317,f831]) ).
fof(f8186,plain,
( e2 = e3
| e1 = e3
| e0 = e3
| e3 = op(e1,e2)
| ~ spl4_77
| ~ spl4_94
| ~ spl4_100 ),
inference(forward_demodulation,[],[f3273,f764]) ).
fof(f3273,plain,
( e1 = e3
| e0 = e3
| e3 = op(e1,e2)
| e3 = op(e0,e2)
| ~ spl4_77
| ~ spl4_100 ),
inference(forward_demodulation,[],[f3272,f678]) ).
fof(f3272,plain,
( e0 = e3
| e3 = op(e2,e2)
| e3 = op(e1,e2)
| e3 = op(e0,e2)
| ~ spl4_100 ),
inference(forward_demodulation,[],[f209,f823]) ).
fof(f8218,plain,
( spl4_96
| spl4_4
| spl4_2
| spl4_6
| ~ spl4_85
| ~ spl4_98
| ~ spl4_111 ),
inference(avatar_split_clause,[],[f4265,f926,f813,f713,f332,f312,f322,f804]) ).
fof(f4265,plain,
( e2 = e3
| e0 = e2
| e1 = e2
| e2 = op(e1,e3)
| ~ spl4_85
| ~ spl4_98
| ~ spl4_111 ),
inference(forward_demodulation,[],[f4264,f928]) ).
fof(f4264,plain,
( e0 = e2
| e1 = e2
| e2 = op(e1,e3)
| e2 = op(e0,e3)
| ~ spl4_85
| ~ spl4_98 ),
inference(forward_demodulation,[],[f4239,f814]) ).
fof(f4239,plain,
( e1 = e2
| e2 = op(e2,e3)
| e2 = op(e1,e3)
| e2 = op(e0,e3)
| ~ spl4_85 ),
inference(forward_demodulation,[],[f215,f714]) ).
fof(f8146,plain,
( spl4_6
| spl4_2
| spl4_4
| ~ spl4_71
| ~ spl4_100
| ~ spl4_101
| ~ spl4_110 ),
inference(avatar_split_clause,[],[f8114,f922,f826,f822,f650,f322,f312,f332]) ).
fof(f8114,plain,
( e1 = e2
| e0 = e2
| e2 = e3
| ~ spl4_71
| ~ spl4_100
| ~ spl4_101
| ~ spl4_110 ),
inference(forward_demodulation,[],[f8113,f651]) ).
fof(f8113,plain,
( e0 = e2
| e2 = e3
| e2 = op(e1,e2)
| ~ spl4_100
| ~ spl4_101
| ~ spl4_110 ),
inference(forward_demodulation,[],[f8045,f823]) ).
fof(f8045,plain,
( e2 = e3
| e2 = op(e3,e2)
| e2 = op(e1,e2)
| ~ spl4_101
| ~ spl4_110 ),
inference(duplicate_literal_removal,[],[f4913]) ).
fof(f4913,plain,
( e2 = e3
| e2 = e3
| e2 = op(e3,e2)
| e2 = op(e1,e2)
| ~ spl4_101
| ~ spl4_110 ),
inference(forward_demodulation,[],[f2206,f924]) ).
fof(f2206,plain,
( e2 = e3
| e2 = op(e3,e2)
| e2 = op(e1,e2)
| e2 = op(e0,e2)
| ~ spl4_101 ),
inference(forward_demodulation,[],[f207,f827]) ).
fof(f8103,plain,
( spl4_5
| ~ spl4_78
| ~ spl4_101
| ~ spl4_118 ),
inference(avatar_split_clause,[],[f8092,f1532,f826,f681,f327]) ).
fof(f8092,plain,
( e1 = e3
| ~ spl4_78
| ~ spl4_101
| ~ spl4_118 ),
inference(forward_demodulation,[],[f8091,f8057]) ).
fof(f8057,plain,
( e1 = op(e1,e1)
| ~ spl4_78
| ~ spl4_118 ),
inference(forward_demodulation,[],[f1534,f3241]) ).
fof(f3241,plain,
( e1 = e2
| ~ spl4_78
| ~ spl4_118 ),
inference(superposition,[],[f1534,f683]) ).
fof(f8091,plain,
( e3 = op(e1,e1)
| ~ spl4_78
| ~ spl4_101
| ~ spl4_118 ),
inference(forward_demodulation,[],[f827,f3241]) ).
fof(f8041,plain,
( spl4_12
| spl4_73
| spl4_4
| spl4_1
| ~ spl4_89
| ~ spl4_112 ),
inference(avatar_split_clause,[],[f7986,f993,f734,f307,f322,f659,f359]) ).
fof(f7986,plain,
( e0 = e1
| e1 = e2
| e1 = op(e1,e3)
| e1 = op(e1,e1)
| ~ spl4_89
| ~ spl4_112 ),
inference(forward_demodulation,[],[f7851,f736]) ).
fof(f7851,plain,
( e1 = e2
| e1 = op(e1,e3)
| e1 = op(e1,e1)
| e1 = op(e1,e0)
| ~ spl4_112 ),
inference(forward_demodulation,[],[f196,f995]) ).
fof(f7984,plain,
( spl4_118
| spl4_5
| spl4_1
| ~ spl4_98
| ~ spl4_103
| ~ spl4_120 ),
inference(avatar_split_clause,[],[f7967,f1572,f835,f813,f307,f327,f1532]) ).
fof(f7967,plain,
( e0 = e1
| e1 = e3
| e1 = op(e2,e1)
| ~ spl4_98
| ~ spl4_103
| ~ spl4_120 ),
inference(duplicate_literal_removal,[],[f7966]) ).
fof(f7966,plain,
( e0 = e1
| e0 = e1
| e1 = e3
| e1 = op(e2,e1)
| ~ spl4_98
| ~ spl4_103
| ~ spl4_120 ),
inference(forward_demodulation,[],[f7314,f814]) ).
fof(f7314,plain,
( e0 = e1
| e1 = e3
| e1 = op(e2,e3)
| e1 = op(e2,e1)
| ~ spl4_103
| ~ spl4_120 ),
inference(forward_demodulation,[],[f5195,f836]) ).
fof(f7947,plain,
( spl4_112
| spl4_2
| spl4_6
| spl4_4
| ~ spl4_77
| ~ spl4_100
| ~ spl4_110 ),
inference(avatar_split_clause,[],[f5706,f922,f822,f677,f322,f332,f312,f993]) ).
fof(f5706,plain,
( e1 = e2
| e2 = e3
| e0 = e2
| e2 = op(e1,e2)
| ~ spl4_77
| ~ spl4_100
| ~ spl4_110 ),
inference(forward_demodulation,[],[f4915,f678]) ).
fof(f4915,plain,
( e2 = e3
| e0 = e2
| e2 = op(e2,e2)
| e2 = op(e1,e2)
| ~ spl4_100
| ~ spl4_110 ),
inference(forward_demodulation,[],[f1300,f924]) ).
fof(f7934,plain,
( spl4_73
| spl4_1
| spl4_4
| spl4_5
| ~ spl4_74
| ~ spl4_89
| ~ spl4_112 ),
inference(avatar_split_clause,[],[f7843,f993,f734,f663,f327,f322,f307,f659]) ).
fof(f7843,plain,
( e1 = e3
| e1 = e2
| e0 = e1
| e1 = op(e1,e3)
| ~ spl4_74
| ~ spl4_89
| ~ spl4_112 ),
inference(forward_demodulation,[],[f7842,f665]) ).
fof(f7842,plain,
( e1 = e2
| e0 = e1
| e1 = op(e1,e3)
| e1 = op(e1,e1)
| ~ spl4_89
| ~ spl4_112 ),
inference(forward_demodulation,[],[f7218,f995]) ).
fof(f7218,plain,
( e0 = e1
| e1 = op(e1,e3)
| e1 = op(e1,e2)
| e1 = op(e1,e1)
| ~ spl4_89 ),
inference(forward_demodulation,[],[f196,f736]) ).
fof(f7923,plain,
( spl4_97
| spl4_3
| spl4_2
| ~ spl4_95
| ~ spl4_114
| ~ spl4_117 ),
inference(avatar_split_clause,[],[f7914,f1073,f1035,f766,f312,f317,f808]) ).
fof(f7914,plain,
( e0 = e2
| e0 = e3
| e0 = op(e3,e3)
| ~ spl4_95
| ~ spl4_114
| ~ spl4_117 ),
inference(duplicate_literal_removal,[],[f7913]) ).
fof(f7913,plain,
( e0 = e2
| e0 = e2
| e0 = e3
| e0 = op(e3,e3)
| ~ spl4_95
| ~ spl4_114
| ~ spl4_117 ),
inference(forward_demodulation,[],[f6349,f768]) ).
fof(f6349,plain,
( e0 = e2
| e0 = e3
| e0 = op(e3,e3)
| e0 = op(e0,e3)
| ~ spl4_114
| ~ spl4_117 ),
inference(forward_demodulation,[],[f3788,f1037]) ).
fof(f3788,plain,
( e0 = e3
| e0 = op(e3,e3)
| e0 = op(e2,e3)
| e0 = op(e0,e3)
| ~ spl4_117 ),
inference(forward_demodulation,[],[f211,f1075]) ).
fof(f7911,plain,
( spl4_117
| spl4_5
| spl4_6
| ~ spl4_85
| ~ spl4_95
| ~ spl4_114 ),
inference(avatar_split_clause,[],[f7881,f1035,f766,f713,f332,f327,f1073]) ).
fof(f7881,plain,
( e2 = e3
| e1 = e3
| e3 = op(e1,e3)
| ~ spl4_85
| ~ spl4_95
| ~ spl4_114 ),
inference(duplicate_literal_removal,[],[f7880]) ).
fof(f7880,plain,
( e2 = e3
| e2 = e3
| e1 = e3
| e3 = op(e1,e3)
| ~ spl4_85
| ~ spl4_95
| ~ spl4_114 ),
inference(forward_demodulation,[],[f7879,f768]) ).
fof(f7879,plain,
( e2 = e3
| e1 = e3
| e3 = op(e1,e3)
| e3 = op(e0,e3)
| ~ spl4_85
| ~ spl4_114 ),
inference(forward_demodulation,[],[f4553,f1037]) ).
fof(f4553,plain,
( e1 = e3
| e3 = op(e2,e3)
| e3 = op(e1,e3)
| e3 = op(e0,e3)
| ~ spl4_85 ),
inference(forward_demodulation,[],[f217,f714]) ).
fof(f7840,plain,
( spl4_5
| spl4_3
| spl4_6
| ~ spl4_97
| ~ spl4_100
| ~ spl4_106
| ~ spl4_113 ),
inference(avatar_split_clause,[],[f7822,f1022,f860,f822,f808,f332,f317,f327]) ).
fof(f7822,plain,
( e2 = e3
| e0 = e3
| e1 = e3
| ~ spl4_97
| ~ spl4_100
| ~ spl4_106
| ~ spl4_113 ),
inference(forward_demodulation,[],[f7821,f862]) ).
fof(f7821,plain,
( e0 = e3
| e1 = e3
| e3 = op(e3,e0)
| ~ spl4_97
| ~ spl4_100
| ~ spl4_113 ),
inference(duplicate_literal_removal,[],[f7820]) ).
fof(f7820,plain,
( e0 = e3
| e1 = e3
| e0 = e3
| e3 = op(e3,e0)
| ~ spl4_97
| ~ spl4_100
| ~ spl4_113 ),
inference(forward_demodulation,[],[f7326,f823]) ).
fof(f7326,plain,
( e1 = e3
| e0 = e3
| e3 = op(e3,e2)
| e3 = op(e3,e0)
| ~ spl4_97
| ~ spl4_113 ),
inference(forward_demodulation,[],[f3978,f1024]) ).
fof(f3978,plain,
( e0 = e3
| e3 = op(e3,e2)
| e3 = op(e3,e1)
| e3 = op(e3,e0)
| ~ spl4_97 ),
inference(forward_demodulation,[],[f216,f809]) ).
fof(f7819,plain,
( spl4_113
| spl4_1
| spl4_4
| ~ spl4_97
| ~ spl4_100
| ~ spl4_106 ),
inference(avatar_split_clause,[],[f7742,f860,f822,f808,f322,f307,f1022]) ).
fof(f7742,plain,
( e1 = e2
| e0 = e1
| e1 = op(e3,e1)
| ~ spl4_97
| ~ spl4_100
| ~ spl4_106 ),
inference(forward_demodulation,[],[f7578,f862]) ).
fof(f7578,plain,
( e0 = e1
| e1 = op(e3,e1)
| e1 = op(e3,e0)
| ~ spl4_97
| ~ spl4_100 ),
inference(duplicate_literal_removal,[],[f7577]) ).
fof(f7577,plain,
( e0 = e1
| e0 = e1
| e1 = op(e3,e1)
| e1 = op(e3,e0)
| ~ spl4_97
| ~ spl4_100 ),
inference(forward_demodulation,[],[f1394,f809]) ).
fof(f1394,plain,
( e0 = e1
| e1 = op(e3,e3)
| e1 = op(e3,e1)
| e1 = op(e3,e0)
| ~ spl4_100 ),
inference(forward_demodulation,[],[f212,f823]) ).
fof(f7808,plain,
( spl4_3
| ~ spl4_100
| ~ spl4_115 ),
inference(avatar_split_clause,[],[f7793,f1064,f822,f317]) ).
fof(f7793,plain,
( e0 = e3
| ~ spl4_100
| ~ spl4_115 ),
inference(superposition,[],[f823,f1065]) ).
fof(f7724,plain,
( spl4_83
| spl4_4
| spl4_1
| ~ spl4_84
| ~ spl4_97
| ~ spl4_106 ),
inference(avatar_split_clause,[],[f7665,f860,f808,f708,f307,f322,f704]) ).
fof(f7665,plain,
( e0 = e1
| e1 = e2
| e1 = op(e3,e2)
| ~ spl4_84
| ~ spl4_97
| ~ spl4_106 ),
inference(forward_demodulation,[],[f7297,f809]) ).
fof(f7297,plain,
( e1 = e2
| e1 = op(e3,e3)
| e1 = op(e3,e2)
| ~ spl4_84
| ~ spl4_106 ),
inference(duplicate_literal_removal,[],[f2971]) ).
fof(f2971,plain,
( e1 = e2
| e1 = e2
| e1 = op(e3,e3)
| e1 = op(e3,e2)
| ~ spl4_84
| ~ spl4_106 ),
inference(forward_demodulation,[],[f2205,f710]) ).
fof(f2205,plain,
( e1 = e2
| e1 = op(e3,e3)
| e1 = op(e3,e2)
| e1 = op(e3,e1)
| ~ spl4_106 ),
inference(forward_demodulation,[],[f212,f862]) ).
fof(f7723,plain,
( ~ spl4_89
| spl4_46
| ~ spl4_108 ),
inference(avatar_split_clause,[],[f5508,f902,f529,f734]) ).
fof(f5508,plain,
( e0 != op(e1,e0)
| spl4_46
| ~ spl4_108 ),
inference(superposition,[],[f531,f904]) ).
fof(f7711,plain,
( spl4_115
| spl4_6
| spl4_3
| ~ spl4_84
| ~ spl4_97
| ~ spl4_106 ),
inference(avatar_split_clause,[],[f7416,f860,f808,f708,f317,f332,f1064]) ).
fof(f7416,plain,
( e0 = e3
| e2 = e3
| e3 = op(e3,e2)
| ~ spl4_84
| ~ spl4_97
| ~ spl4_106 ),
inference(forward_demodulation,[],[f3398,f809]) ).
fof(f3398,plain,
( e2 = e3
| e3 = op(e3,e3)
| e3 = op(e3,e2)
| ~ spl4_84
| ~ spl4_106 ),
inference(duplicate_literal_removal,[],[f2969]) ).
fof(f2969,plain,
( e2 = e3
| e2 = e3
| e3 = op(e3,e3)
| e3 = op(e3,e2)
| ~ spl4_84
| ~ spl4_106 ),
inference(forward_demodulation,[],[f2204,f710]) ).
fof(f7701,plain,
( ~ spl4_63
| spl4_77
| ~ spl4_108
| ~ spl4_112 ),
inference(avatar_split_clause,[],[f7700,f993,f902,f677,f614]) ).
fof(f7700,plain,
( op(e0,e0) != e1
| spl4_77
| ~ spl4_108
| ~ spl4_112 ),
inference(forward_demodulation,[],[f679,f7690]) ).
fof(f679,plain,
( e1 != op(e2,e2)
| spl4_77 ),
inference(avatar_component_clause,[],[f677]) ).
fof(f7699,plain,
( ~ spl4_77
| ~ spl4_108
| ~ spl4_110 ),
inference(avatar_split_clause,[],[f7661,f922,f902,f677]) ).
fof(f7661,plain,
( e1 != op(e2,e2)
| ~ spl4_108
| ~ spl4_110 ),
inference(trivial_inequality_removal,[],[f7660]) ).
fof(f7660,plain,
( e3 != e3
| e1 != op(e2,e2)
| ~ spl4_108
| ~ spl4_110 ),
inference(forward_demodulation,[],[f5749,f924]) ).
fof(f5749,plain,
( e1 != op(e2,e2)
| e3 != op(e0,e2)
| ~ spl4_108 ),
inference(trivial_inequality_removal,[],[f5680]) ).
fof(f7633,plain,
( spl4_103
| spl4_98
| spl4_2
| ~ spl4_78
| ~ spl4_105 ),
inference(avatar_split_clause,[],[f7592,f856,f681,f312,f813,f835]) ).
fof(f7592,plain,
( e0 = e2
| e0 = op(e2,e3)
| e0 = op(e2,e2)
| ~ spl4_78
| ~ spl4_105 ),
inference(duplicate_literal_removal,[],[f7591]) ).
fof(f7591,plain,
( e0 = e2
| e0 = e2
| e0 = op(e2,e3)
| e0 = op(e2,e2)
| ~ spl4_78
| ~ spl4_105 ),
inference(forward_demodulation,[],[f4719,f858]) ).
fof(f4719,plain,
( e0 = e2
| e0 = op(e2,e3)
| e0 = op(e2,e2)
| e0 = op(e2,e0)
| ~ spl4_78 ),
inference(forward_demodulation,[],[f202,f683]) ).
fof(f7621,plain,
( spl4_122
| spl4_3
| spl4_6
| ~ spl4_84
| ~ spl4_97
| ~ spl4_100 ),
inference(avatar_split_clause,[],[f7570,f822,f808,f708,f332,f317,f3961]) ).
fof(f7570,plain,
( e2 = e3
| e0 = e3
| e3 = op(e3,e0)
| ~ spl4_84
| ~ spl4_97
| ~ spl4_100 ),
inference(forward_demodulation,[],[f7569,f710]) ).
fof(f7569,plain,
( e0 = e3
| e3 = op(e3,e1)
| e3 = op(e3,e0)
| ~ spl4_97
| ~ spl4_100 ),
inference(duplicate_literal_removal,[],[f7568]) ).
fof(f7568,plain,
( e0 = e3
| e0 = e3
| e3 = op(e3,e1)
| e3 = op(e3,e0)
| ~ spl4_97
| ~ spl4_100 ),
inference(forward_demodulation,[],[f5725,f809]) ).
fof(f5725,plain,
( e0 = e3
| e3 = op(e3,e3)
| e3 = op(e3,e1)
| e3 = op(e3,e0)
| ~ spl4_100 ),
inference(forward_demodulation,[],[f216,f823]) ).
fof(f7562,plain,
( ~ spl4_83
| ~ spl4_110
| ~ spl4_103 ),
inference(avatar_split_clause,[],[f7496,f835,f922,f704]) ).
fof(f7496,plain,
( e3 != op(e0,e2)
| e1 != op(e3,e2)
| ~ spl4_103 ),
inference(trivial_inequality_removal,[],[f7495]) ).
fof(f7495,plain,
( e0 != e0
| e3 != op(e0,e2)
| e1 != op(e3,e2)
| ~ spl4_103 ),
inference(forward_demodulation,[],[f289,f836]) ).
fof(f7544,plain,
( spl4_3
| spl4_5
| spl4_6
| ~ spl4_83
| ~ spl4_84
| ~ spl4_97
| ~ spl4_106 ),
inference(avatar_split_clause,[],[f7474,f860,f808,f708,f704,f332,f327,f317]) ).
fof(f7474,plain,
( e2 = e3
| e1 = e3
| e0 = e3
| ~ spl4_83
| ~ spl4_84
| ~ spl4_97
| ~ spl4_106 ),
inference(duplicate_literal_removal,[],[f7473]) ).
fof(f7473,plain,
( e2 = e3
| e1 = e3
| e0 = e3
| e2 = e3
| ~ spl4_83
| ~ spl4_84
| ~ spl4_97
| ~ spl4_106 ),
inference(forward_demodulation,[],[f7472,f710]) ).
fof(f7472,plain,
( e1 = e3
| e0 = e3
| e2 = e3
| e3 = op(e3,e1)
| ~ spl4_83
| ~ spl4_97
| ~ spl4_106 ),
inference(forward_demodulation,[],[f7421,f705]) ).
fof(f7421,plain,
( e0 = e3
| e2 = e3
| e3 = op(e3,e2)
| e3 = op(e3,e1)
| ~ spl4_97
| ~ spl4_106 ),
inference(forward_demodulation,[],[f2204,f809]) ).
fof(f7468,plain,
( spl4_5
| spl4_3
| spl4_6
| ~ spl4_83
| ~ spl4_94
| ~ spl4_103
| ~ spl4_112 ),
inference(avatar_split_clause,[],[f7411,f993,f835,f762,f704,f332,f317,f327]) ).
fof(f7411,plain,
( e2 = e3
| e0 = e3
| e1 = e3
| ~ spl4_83
| ~ spl4_94
| ~ spl4_103
| ~ spl4_112 ),
inference(duplicate_literal_removal,[],[f7410]) ).
fof(f7410,plain,
( e2 = e3
| e2 = e3
| e0 = e3
| e1 = e3
| ~ spl4_83
| ~ spl4_94
| ~ spl4_103
| ~ spl4_112 ),
inference(forward_demodulation,[],[f7409,f764]) ).
fof(f7409,plain,
( e2 = e3
| e0 = e3
| e1 = e3
| e3 = op(e0,e2)
| ~ spl4_83
| ~ spl4_103
| ~ spl4_112 ),
inference(forward_demodulation,[],[f7359,f995]) ).
fof(f7359,plain,
( e0 = e3
| e1 = e3
| e3 = op(e1,e2)
| e3 = op(e0,e2)
| ~ spl4_83
| ~ spl4_103 ),
inference(forward_demodulation,[],[f4005,f836]) ).
fof(f4005,plain,
( e1 = e3
| e3 = op(e2,e2)
| e3 = op(e1,e2)
| e3 = op(e0,e2)
| ~ spl4_83 ),
inference(forward_demodulation,[],[f209,f705]) ).
fof(f7404,plain,
( spl4_4
| ~ spl4_84
| ~ spl4_113 ),
inference(avatar_split_clause,[],[f4112,f1022,f708,f322]) ).
fof(f4112,plain,
( e1 = e2
| ~ spl4_84
| ~ spl4_113 ),
inference(superposition,[],[f1024,f710]) ).
fof(f7292,plain,
( spl4_12
| spl4_5
| spl4_1
| spl4_4
| ~ spl4_66
| ~ spl4_80
| ~ spl4_82 ),
inference(avatar_split_clause,[],[f7285,f699,f690,f627,f322,f307,f327,f359]) ).
fof(f7285,plain,
( e1 = e2
| e0 = e1
| e1 = e3
| e1 = op(e1,e1)
| ~ spl4_66
| ~ spl4_80
| ~ spl4_82 ),
inference(forward_demodulation,[],[f6331,f629]) ).
fof(f6331,plain,
( e0 = e1
| e1 = e3
| e1 = op(e1,e1)
| e1 = op(e0,e1)
| ~ spl4_80
| ~ spl4_82 ),
inference(forward_demodulation,[],[f4160,f701]) ).
fof(f4160,plain,
( e1 = e3
| e1 = op(e3,e1)
| e1 = op(e1,e1)
| e1 = op(e0,e1)
| ~ spl4_80 ),
inference(forward_demodulation,[],[f197,f692]) ).
fof(f7282,plain,
( spl4_1
| ~ spl4_82
| ~ spl4_113 ),
inference(avatar_split_clause,[],[f7244,f1022,f699,f307]) ).
fof(f7244,plain,
( e0 = e1
| ~ spl4_82
| ~ spl4_113 ),
inference(superposition,[],[f701,f1024]) ).
fof(f7207,plain,
( spl4_12
| ~ spl4_72
| ~ spl4_84
| ~ spl4_113 ),
inference(avatar_split_clause,[],[f7196,f1022,f708,f654,f359]) ).
fof(f7196,plain,
( e1 = op(e1,e1)
| ~ spl4_72
| ~ spl4_84
| ~ spl4_113 ),
inference(forward_demodulation,[],[f656,f4112]) ).
fof(f7154,plain,
( spl4_72
| spl4_6
| spl4_4
| spl4_2
| ~ spl4_64
| ~ spl4_80
| ~ spl4_113 ),
inference(avatar_split_clause,[],[f7127,f1022,f690,f618,f312,f322,f332,f654]) ).
fof(f7127,plain,
( e0 = e2
| e1 = e2
| e2 = e3
| e2 = op(e1,e1)
| ~ spl4_64
| ~ spl4_80
| ~ spl4_113 ),
inference(forward_demodulation,[],[f6193,f620]) ).
fof(f6193,plain,
( e1 = e2
| e2 = e3
| e2 = op(e1,e1)
| e2 = op(e0,e1)
| ~ spl4_80
| ~ spl4_113 ),
inference(forward_demodulation,[],[f3495,f1024]) ).
fof(f3495,plain,
( e2 = e3
| e2 = op(e3,e1)
| e2 = op(e1,e1)
| e2 = op(e0,e1)
| ~ spl4_80 ),
inference(forward_demodulation,[],[f199,f692]) ).
fof(f7119,plain,
( spl4_12
| spl4_113
| spl4_5
| spl4_1
| ~ spl4_64
| ~ spl4_80 ),
inference(avatar_split_clause,[],[f4159,f690,f618,f307,f327,f1022,f359]) ).
fof(f4159,plain,
( e0 = e1
| e1 = e3
| e1 = op(e3,e1)
| e1 = op(e1,e1)
| ~ spl4_64
| ~ spl4_80 ),
inference(forward_demodulation,[],[f3045,f620]) ).
fof(f3045,plain,
( e1 = e3
| e1 = op(e3,e1)
| e1 = op(e1,e1)
| e1 = op(e0,e1)
| ~ spl4_80 ),
inference(forward_demodulation,[],[f197,f692]) ).
fof(f7116,plain,
( spl4_115
| spl4_6
| spl4_3
| ~ spl4_84
| ~ spl4_91
| ~ spl4_97 ),
inference(avatar_split_clause,[],[f7078,f808,f742,f708,f317,f332,f1064]) ).
fof(f7078,plain,
( e0 = e3
| e2 = e3
| e3 = op(e3,e2)
| ~ spl4_84
| ~ spl4_91
| ~ spl4_97 ),
inference(duplicate_literal_removal,[],[f7077]) ).
fof(f7077,plain,
( e0 = e3
| e2 = e3
| e0 = e3
| e3 = op(e3,e2)
| ~ spl4_84
| ~ spl4_91
| ~ spl4_97 ),
inference(forward_demodulation,[],[f7076,f744]) ).
fof(f7076,plain,
( e2 = e3
| e0 = e3
| e3 = op(e3,e2)
| e3 = op(e3,e0)
| ~ spl4_84
| ~ spl4_97 ),
inference(forward_demodulation,[],[f6082,f710]) ).
fof(f6082,plain,
( e0 = e3
| e3 = op(e3,e2)
| e3 = op(e3,e1)
| e3 = op(e3,e0)
| ~ spl4_97 ),
inference(forward_demodulation,[],[f216,f809]) ).
fof(f7109,plain,
( spl4_99
| spl4_4
| spl4_6
| ~ spl4_79
| ~ spl4_111
| ~ spl4_117 ),
inference(avatar_split_clause,[],[f4388,f1073,f926,f686,f332,f322,f817]) ).
fof(f4388,plain,
( e2 = e3
| e1 = e2
| e2 = op(e3,e3)
| ~ spl4_79
| ~ spl4_111
| ~ spl4_117 ),
inference(duplicate_literal_removal,[],[f4387]) ).
fof(f4387,plain,
( e2 = e3
| e2 = e3
| e1 = e2
| e2 = op(e3,e3)
| ~ spl4_79
| ~ spl4_111
| ~ spl4_117 ),
inference(forward_demodulation,[],[f4386,f928]) ).
fof(f4386,plain,
( e2 = e3
| e1 = e2
| e2 = op(e3,e3)
| e2 = op(e0,e3)
| ~ spl4_79
| ~ spl4_117 ),
inference(forward_demodulation,[],[f1709,f1075]) ).
fof(f1709,plain,
( e1 = e2
| e2 = op(e3,e3)
| e2 = op(e1,e3)
| e2 = op(e0,e3)
| ~ spl4_79 ),
inference(forward_demodulation,[],[f215,f687]) ).
fof(f7054,plain,
( spl4_83
| spl4_1
| spl4_5
| spl4_4
| ~ spl4_94
| ~ spl4_102
| ~ spl4_103 ),
inference(avatar_split_clause,[],[f3331,f835,f831,f762,f322,f327,f307,f704]) ).
fof(f3331,plain,
( e1 = e2
| e1 = e3
| e0 = e1
| e1 = op(e3,e2)
| ~ spl4_94
| ~ spl4_102
| ~ spl4_103 ),
inference(forward_demodulation,[],[f3330,f764]) ).
fof(f3330,plain,
( e1 = e3
| e0 = e1
| e1 = op(e3,e2)
| e1 = op(e0,e2)
| ~ spl4_102
| ~ spl4_103 ),
inference(forward_demodulation,[],[f2776,f832]) ).
fof(f2776,plain,
( e0 = e1
| e1 = op(e3,e2)
| e1 = op(e1,e2)
| e1 = op(e0,e2)
| ~ spl4_103 ),
inference(forward_demodulation,[],[f205,f836]) ).
fof(f7036,plain,
( spl4_6
| ~ spl4_102
| ~ spl4_112 ),
inference(avatar_split_clause,[],[f7032,f993,f831,f332]) ).
fof(f7032,plain,
( e2 = e3
| ~ spl4_102
| ~ spl4_112 ),
inference(forward_demodulation,[],[f832,f995]) ).
fof(f6994,plain,
( spl4_85
| spl4_4
| spl4_5
| spl4_1
| ~ spl4_84
| ~ spl4_91
| ~ spl4_115 ),
inference(avatar_split_clause,[],[f6896,f1064,f742,f708,f307,f327,f322,f713]) ).
fof(f6896,plain,
( e0 = e1
| e1 = e3
| e1 = e2
| e1 = op(e3,e3)
| ~ spl4_84
| ~ spl4_91
| ~ spl4_115 ),
inference(forward_demodulation,[],[f5846,f744]) ).
fof(f5846,plain,
( e1 = e3
| e1 = e2
| e1 = op(e3,e3)
| e1 = op(e3,e0)
| ~ spl4_84
| ~ spl4_115 ),
inference(forward_demodulation,[],[f5385,f1065]) ).
fof(f5385,plain,
( e1 = e2
| e1 = op(e3,e3)
| e1 = op(e3,e2)
| e1 = op(e3,e0)
| ~ spl4_84 ),
inference(forward_demodulation,[],[f212,f710]) ).
fof(f6857,plain,
( spl4_13
| spl4_4
| spl4_2
| spl4_6
| ~ spl4_98
| ~ spl4_118
| ~ spl4_120 ),
inference(avatar_split_clause,[],[f6848,f1572,f1532,f813,f332,f312,f322,f364]) ).
fof(f6848,plain,
( e2 = e3
| e0 = e2
| e1 = e2
| e2 = op(e2,e2)
| ~ spl4_98
| ~ spl4_118
| ~ spl4_120 ),
inference(forward_demodulation,[],[f6847,f1574]) ).
fof(f6847,plain,
( e0 = e2
| e1 = e2
| e2 = op(e2,e2)
| e2 = op(e2,e0)
| ~ spl4_98
| ~ spl4_118 ),
inference(forward_demodulation,[],[f5627,f814]) ).
fof(f5627,plain,
( e1 = e2
| e2 = op(e2,e3)
| e2 = op(e2,e2)
| e2 = op(e2,e0)
| ~ spl4_118 ),
inference(forward_demodulation,[],[f206,f1534]) ).
fof(f6846,plain,
( spl4_118
| spl4_113
| spl4_1
| spl4_5
| ~ spl4_68
| ~ spl4_70 ),
inference(avatar_split_clause,[],[f5070,f645,f636,f327,f307,f1022,f1532]) ).
fof(f5070,plain,
( e1 = e3
| e0 = e1
| e1 = op(e3,e1)
| e1 = op(e2,e1)
| ~ spl4_68
| ~ spl4_70 ),
inference(forward_demodulation,[],[f3071,f638]) ).
fof(f3071,plain,
( e0 = e1
| e1 = op(e3,e1)
| e1 = op(e2,e1)
| e1 = op(e0,e1)
| ~ spl4_70 ),
inference(forward_demodulation,[],[f197,f647]) ).
fof(f6831,plain,
( spl4_14
| spl4_6
| spl4_5
| spl4_3
| ~ spl4_91
| ~ spl4_113
| ~ spl4_119 ),
inference(avatar_split_clause,[],[f6816,f1566,f1022,f742,f317,f327,f332,f369]) ).
fof(f6816,plain,
( e0 = e3
| e1 = e3
| e2 = e3
| e3 = op(e3,e3)
| ~ spl4_91
| ~ spl4_113
| ~ spl4_119 ),
inference(forward_demodulation,[],[f6139,f744]) ).
fof(f6139,plain,
( e1 = e3
| e2 = e3
| e3 = op(e3,e3)
| e3 = op(e3,e0)
| ~ spl4_113
| ~ spl4_119 ),
inference(forward_demodulation,[],[f5260,f1024]) ).
fof(f5260,plain,
( e2 = e3
| e3 = op(e3,e3)
| e3 = op(e3,e1)
| e3 = op(e3,e0)
| ~ spl4_119 ),
inference(forward_demodulation,[],[f216,f1568]) ).
fof(f6829,plain,
( ~ spl4_63
| spl4_41
| ~ spl4_67 ),
inference(avatar_split_clause,[],[f5951,f632,f504,f614]) ).
fof(f504,plain,
( spl4_41
<=> op(e0,e0) = op(e0,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_41])]) ).
fof(f5951,plain,
( op(e0,e0) != e1
| spl4_41
| ~ spl4_67 ),
inference(superposition,[],[f506,f633]) ).
fof(f506,plain,
( op(e0,e0) != op(e0,e3)
| spl4_41 ),
inference(avatar_component_clause,[],[f504]) ).
fof(f6815,plain,
( spl4_113
| spl4_1
| spl4_4
| spl4_5
| ~ spl4_68
| ~ spl4_70
| ~ spl4_78 ),
inference(avatar_split_clause,[],[f6752,f681,f645,f636,f327,f322,f307,f1022]) ).
fof(f6752,plain,
( e1 = e3
| e1 = e2
| e0 = e1
| e1 = op(e3,e1)
| ~ spl4_68
| ~ spl4_70
| ~ spl4_78 ),
inference(forward_demodulation,[],[f6751,f638]) ).
fof(f6751,plain,
( e1 = e2
| e0 = e1
| e1 = op(e3,e1)
| e1 = op(e0,e1)
| ~ spl4_70
| ~ spl4_78 ),
inference(forward_demodulation,[],[f5074,f683]) ).
fof(f5074,plain,
( e0 = e1
| e1 = op(e3,e1)
| e1 = op(e2,e1)
| e1 = op(e0,e1)
| ~ spl4_70 ),
inference(forward_demodulation,[],[f197,f647]) ).
fof(f6805,plain,
( spl4_77
| spl4_4
| spl4_1
| spl4_5
| ~ spl4_78
| ~ spl4_98
| ~ spl4_120 ),
inference(avatar_split_clause,[],[f6747,f1572,f813,f681,f327,f307,f322,f677]) ).
fof(f6747,plain,
( e1 = e3
| e0 = e1
| e1 = e2
| e1 = op(e2,e2)
| ~ spl4_78
| ~ spl4_98
| ~ spl4_120 ),
inference(forward_demodulation,[],[f6468,f1574]) ).
fof(f6468,plain,
( e0 = e1
| e1 = e2
| e1 = op(e2,e2)
| e1 = op(e2,e0)
| ~ spl4_78
| ~ spl4_98 ),
inference(forward_demodulation,[],[f5751,f814]) ).
fof(f6721,plain,
( spl4_13
| spl4_114
| spl4_4
| spl4_2
| ~ spl4_90
| ~ spl4_118 ),
inference(avatar_split_clause,[],[f6621,f1532,f738,f312,f322,f1035,f364]) ).
fof(f6621,plain,
( e0 = e2
| e1 = e2
| e2 = op(e2,e3)
| e2 = op(e2,e2)
| ~ spl4_90
| ~ spl4_118 ),
inference(forward_demodulation,[],[f5627,f740]) ).
fof(f6705,plain,
( spl4_108
| spl4_109
| spl4_2
| spl4_3
| ~ spl4_72
| ~ spl4_116 ),
inference(avatar_split_clause,[],[f3646,f1069,f654,f317,f312,f906,f902]) ).
fof(f3646,plain,
( e0 = e3
| e0 = e2
| e0 = op(e1,e3)
| e0 = op(e1,e2)
| ~ spl4_72
| ~ spl4_116 ),
inference(forward_demodulation,[],[f3645,f1071]) ).
fof(f3645,plain,
( e0 = e2
| e0 = op(e1,e3)
| e0 = op(e1,e2)
| e0 = op(e1,e0)
| ~ spl4_72 ),
inference(forward_demodulation,[],[f194,f656]) ).
fof(f6695,plain,
( spl4_72
| spl4_4
| spl4_2
| spl4_6
| ~ spl4_68
| ~ spl4_82
| ~ spl4_118 ),
inference(avatar_split_clause,[],[f6633,f1532,f699,f636,f332,f312,f322,f654]) ).
fof(f6633,plain,
( e2 = e3
| e0 = e2
| e1 = e2
| e2 = op(e1,e1)
| ~ spl4_68
| ~ spl4_82
| ~ spl4_118 ),
inference(forward_demodulation,[],[f6622,f638]) ).
fof(f6622,plain,
( e0 = e2
| e1 = e2
| e2 = op(e1,e1)
| e2 = op(e0,e1)
| ~ spl4_82
| ~ spl4_118 ),
inference(forward_demodulation,[],[f3854,f701]) ).
fof(f3854,plain,
( e1 = e2
| e2 = op(e3,e1)
| e2 = op(e1,e1)
| e2 = op(e0,e1)
| ~ spl4_118 ),
inference(forward_demodulation,[],[f199,f1534]) ).
fof(f6684,plain,
( spl4_12
| spl4_118
| spl4_1
| spl4_5
| ~ spl4_68
| ~ spl4_82 ),
inference(avatar_split_clause,[],[f6318,f699,f636,f327,f307,f1532,f359]) ).
fof(f6318,plain,
( e1 = e3
| e0 = e1
| e1 = op(e2,e1)
| e1 = op(e1,e1)
| ~ spl4_68
| ~ spl4_82 ),
inference(forward_demodulation,[],[f6286,f638]) ).
fof(f6286,plain,
( e0 = e1
| e1 = op(e2,e1)
| e1 = op(e1,e1)
| e1 = op(e0,e1)
| ~ spl4_82 ),
inference(forward_demodulation,[],[f197,f701]) ).
fof(f6660,plain,
( spl4_119
| spl4_99
| spl4_2
| spl4_4
| ~ spl4_81
| ~ spl4_82 ),
inference(avatar_split_clause,[],[f5754,f699,f695,f322,f312,f817,f1566]) ).
fof(f5754,plain,
( e1 = e2
| e0 = e2
| e2 = op(e3,e3)
| e2 = op(e3,e2)
| ~ spl4_81
| ~ spl4_82 ),
inference(forward_demodulation,[],[f5753,f696]) ).
fof(f5753,plain,
( e0 = e2
| e2 = op(e3,e3)
| e2 = op(e3,e2)
| e2 = op(e3,e0)
| ~ spl4_82 ),
inference(forward_demodulation,[],[f214,f701]) ).
fof(f6658,plain,
( spl4_99
| spl4_2
| spl4_4
| spl4_6
| ~ spl4_81
| ~ spl4_82
| ~ spl4_115 ),
inference(avatar_split_clause,[],[f6645,f1064,f699,f695,f332,f322,f312,f817]) ).
fof(f6645,plain,
( e2 = e3
| e1 = e2
| e0 = e2
| e2 = op(e3,e3)
| ~ spl4_81
| ~ spl4_82
| ~ spl4_115 ),
inference(forward_demodulation,[],[f5754,f1065]) ).
fof(f6644,plain,
( spl4_12
| ~ spl4_77
| ~ spl4_78
| ~ spl4_118 ),
inference(avatar_split_clause,[],[f3251,f1532,f681,f677,f359]) ).
fof(f3251,plain,
( e1 = op(e1,e1)
| ~ spl4_77
| ~ spl4_78
| ~ spl4_118 ),
inference(forward_demodulation,[],[f678,f3241]) ).
fof(f6631,plain,
( spl4_78
| spl4_2
| spl4_6
| ~ spl4_68
| ~ spl4_70
| ~ spl4_82 ),
inference(avatar_split_clause,[],[f6607,f699,f645,f636,f332,f312,f681]) ).
fof(f6607,plain,
( e2 = e3
| e0 = e2
| e2 = op(e2,e1)
| ~ spl4_68
| ~ spl4_70
| ~ spl4_82 ),
inference(forward_demodulation,[],[f6418,f638]) ).
fof(f6418,plain,
( e0 = e2
| e2 = op(e2,e1)
| e2 = op(e0,e1)
| ~ spl4_70
| ~ spl4_82 ),
inference(duplicate_literal_removal,[],[f6291]) ).
fof(f6291,plain,
( e0 = e2
| e0 = e2
| e2 = op(e2,e1)
| e2 = op(e0,e1)
| ~ spl4_70
| ~ spl4_82 ),
inference(forward_demodulation,[],[f6290,f647]) ).
fof(f6290,plain,
( e0 = e2
| e2 = op(e2,e1)
| e2 = op(e1,e1)
| e2 = op(e0,e1)
| ~ spl4_82 ),
inference(forward_demodulation,[],[f199,f701]) ).
fof(f6604,plain,
( spl4_118
| spl4_1
| spl4_5
| ~ spl4_68
| ~ spl4_70
| ~ spl4_82 ),
inference(avatar_split_clause,[],[f6469,f699,f645,f636,f327,f307,f1532]) ).
fof(f6469,plain,
( e1 = e3
| e0 = e1
| e1 = op(e2,e1)
| ~ spl4_68
| ~ spl4_70
| ~ spl4_82 ),
inference(forward_demodulation,[],[f6288,f638]) ).
fof(f6288,plain,
( e0 = e1
| e1 = op(e2,e1)
| e1 = op(e0,e1)
| ~ spl4_70
| ~ spl4_82 ),
inference(duplicate_literal_removal,[],[f6287]) ).
fof(f6287,plain,
( e0 = e1
| e0 = e1
| e1 = op(e2,e1)
| e1 = op(e0,e1)
| ~ spl4_70
| ~ spl4_82 ),
inference(forward_demodulation,[],[f6286,f647]) ).
fof(f6563,plain,
( spl4_5
| ~ spl4_69
| ~ spl4_116 ),
inference(avatar_split_clause,[],[f2339,f1069,f641,f327]) ).
fof(f2339,plain,
( e1 = e3
| ~ spl4_69
| ~ spl4_116 ),
inference(superposition,[],[f642,f1071]) ).
fof(f6489,plain,
( spl4_3
| ~ spl4_98
| ~ spl4_121 ),
inference(avatar_split_clause,[],[f6446,f1576,f813,f317]) ).
fof(f6446,plain,
( e0 = e3
| ~ spl4_98
| ~ spl4_121 ),
inference(forward_demodulation,[],[f1578,f814]) ).
fof(f6413,plain,
( spl4_119
| spl4_6
| spl4_4
| spl4_2
| ~ spl4_71
| ~ spl4_87
| ~ spl4_101 ),
inference(avatar_split_clause,[],[f2208,f826,f722,f650,f312,f322,f332,f1566]) ).
fof(f2208,plain,
( e0 = e2
| e1 = e2
| e2 = e3
| e2 = op(e3,e2)
| ~ spl4_71
| ~ spl4_87
| ~ spl4_101 ),
inference(forward_demodulation,[],[f2207,f724]) ).
fof(f2207,plain,
( e1 = e2
| e2 = e3
| e2 = op(e3,e2)
| e2 = op(e0,e2)
| ~ spl4_71
| ~ spl4_101 ),
inference(forward_demodulation,[],[f2206,f651]) ).
fof(f6398,plain,
( spl4_14
| spl4_3
| spl4_5
| spl4_6
| ~ spl4_81
| ~ spl4_82
| ~ spl4_119 ),
inference(avatar_split_clause,[],[f6265,f1566,f699,f695,f332,f327,f317,f369]) ).
fof(f6265,plain,
( e2 = e3
| e1 = e3
| e0 = e3
| e3 = op(e3,e3)
| ~ spl4_81
| ~ spl4_82
| ~ spl4_119 ),
inference(forward_demodulation,[],[f5756,f1568]) ).
fof(f5756,plain,
( e1 = e3
| e0 = e3
| e3 = op(e3,e3)
| e3 = op(e3,e2)
| ~ spl4_81
| ~ spl4_82 ),
inference(forward_demodulation,[],[f5755,f696]) ).
fof(f5755,plain,
( e0 = e3
| e3 = op(e3,e3)
| e3 = op(e3,e2)
| e3 = op(e3,e0)
| ~ spl4_82 ),
inference(forward_demodulation,[],[f216,f701]) ).
fof(f6384,plain,
( spl4_97
| spl4_2
| spl4_1
| spl4_3
| ~ spl4_67
| ~ spl4_114
| ~ spl4_117 ),
inference(avatar_split_clause,[],[f5950,f1073,f1035,f632,f317,f307,f312,f808]) ).
fof(f5950,plain,
( e0 = e3
| e0 = e1
| e0 = e2
| e0 = op(e3,e3)
| ~ spl4_67
| ~ spl4_114
| ~ spl4_117 ),
inference(forward_demodulation,[],[f5095,f1075]) ).
fof(f5095,plain,
( e0 = e1
| e0 = e2
| e0 = op(e3,e3)
| e0 = op(e1,e3)
| ~ spl4_67
| ~ spl4_114 ),
inference(forward_demodulation,[],[f4981,f633]) ).
fof(f4981,plain,
( e0 = e2
| e0 = op(e3,e3)
| e0 = op(e1,e3)
| e0 = op(e0,e3)
| ~ spl4_114 ),
inference(forward_demodulation,[],[f211,f1037]) ).
fof(f6339,plain,
( spl4_12
| spl4_1
| spl4_5
| ~ spl4_68
| ~ spl4_80
| ~ spl4_82 ),
inference(avatar_split_clause,[],[f6326,f699,f690,f636,f327,f307,f359]) ).
fof(f6326,plain,
( e1 = e3
| e0 = e1
| e1 = op(e1,e1)
| ~ spl4_68
| ~ spl4_80
| ~ spl4_82 ),
inference(duplicate_literal_removal,[],[f6325]) ).
fof(f6325,plain,
( e1 = e3
| e0 = e1
| e1 = e3
| e1 = op(e1,e1)
| ~ spl4_68
| ~ spl4_80
| ~ spl4_82 ),
inference(forward_demodulation,[],[f6324,f638]) ).
fof(f6324,plain,
( e0 = e1
| e1 = e3
| e1 = op(e1,e1)
| e1 = op(e0,e1)
| ~ spl4_80
| ~ spl4_82 ),
inference(forward_demodulation,[],[f6251,f701]) ).
fof(f6251,plain,
( e1 = e3
| e1 = op(e3,e1)
| e1 = op(e1,e1)
| e1 = op(e0,e1)
| ~ spl4_80 ),
inference(forward_demodulation,[],[f197,f692]) ).
fof(f6314,plain,
( ~ spl4_81
| ~ spl4_120
| ~ spl4_93 ),
inference(avatar_split_clause,[],[f5652,f758,f1572,f695]) ).
fof(f5652,plain,
( e3 != op(e2,e0)
| e1 != op(e3,e0)
| ~ spl4_93 ),
inference(trivial_inequality_removal,[],[f5651]) ).
fof(f6285,plain,
( spl4_84
| spl4_2
| spl4_6
| ~ spl4_68
| ~ spl4_70
| ~ spl4_80 ),
inference(avatar_split_clause,[],[f6236,f690,f645,f636,f332,f312,f708]) ).
fof(f6236,plain,
( e2 = e3
| e0 = e2
| e2 = op(e3,e1)
| ~ spl4_68
| ~ spl4_70
| ~ spl4_80 ),
inference(duplicate_literal_removal,[],[f6235]) ).
fof(f6235,plain,
( e2 = e3
| e0 = e2
| e2 = e3
| e2 = op(e3,e1)
| ~ spl4_68
| ~ spl4_70
| ~ spl4_80 ),
inference(forward_demodulation,[],[f3367,f638]) ).
fof(f3367,plain,
( e0 = e2
| e2 = e3
| e2 = op(e3,e1)
| e2 = op(e0,e1)
| ~ spl4_70
| ~ spl4_80 ),
inference(forward_demodulation,[],[f3043,f647]) ).
fof(f3043,plain,
( e2 = e3
| e2 = op(e3,e1)
| e2 = op(e1,e1)
| e2 = op(e0,e1)
| ~ spl4_80 ),
inference(forward_demodulation,[],[f199,f692]) ).
fof(f6254,plain,
( spl4_97
| spl4_2
| spl4_1
| ~ spl4_67
| ~ spl4_96
| ~ spl4_114 ),
inference(avatar_split_clause,[],[f6183,f1035,f804,f632,f307,f312,f808]) ).
fof(f6183,plain,
( e0 = e1
| e0 = e2
| e0 = op(e3,e3)
| ~ spl4_67
| ~ spl4_96
| ~ spl4_114 ),
inference(forward_demodulation,[],[f5199,f633]) ).
fof(f5199,plain,
( e0 = e2
| e0 = op(e3,e3)
| e0 = op(e0,e3)
| ~ spl4_96
| ~ spl4_114 ),
inference(duplicate_literal_removal,[],[f5198]) ).
fof(f5198,plain,
( e0 = e2
| e0 = e2
| e0 = op(e3,e3)
| e0 = op(e0,e3)
| ~ spl4_96
| ~ spl4_114 ),
inference(forward_demodulation,[],[f4156,f805]) ).
fof(f6253,plain,
( ~ spl4_84
| ~ spl4_68
| ~ spl4_70 ),
inference(avatar_split_clause,[],[f6245,f645,f636,f708]) ).
fof(f6245,plain,
( e2 != op(e3,e1)
| ~ spl4_68
| ~ spl4_70 ),
inference(trivial_inequality_removal,[],[f6244]) ).
fof(f6244,plain,
( e0 != e0
| e2 != op(e3,e1)
| ~ spl4_68
| ~ spl4_70 ),
inference(forward_demodulation,[],[f6176,f647]) ).
fof(f6176,plain,
( e0 != op(e1,e1)
| e2 != op(e3,e1)
| ~ spl4_68 ),
inference(trivial_inequality_removal,[],[f6175]) ).
fof(f6175,plain,
( e3 != e3
| e0 != op(e1,e1)
| e2 != op(e3,e1)
| ~ spl4_68 ),
inference(forward_demodulation,[],[f277,f638]) ).
fof(f277,plain,
( e0 != op(e1,e1)
| e3 != op(e0,e1)
| e2 != op(e3,e1) ),
inference(inner_rewriting,[],[f276]) ).
fof(f276,plain,
( e0 != op(e1,e1)
| e3 != op(e0,e1)
| e2 != op(op(e0,e1),e1) ),
inference(inner_rewriting,[],[f243]) ).
fof(f243,plain,
( e0 != op(e1,e1)
| e3 != op(op(e1,e1),e1)
| e2 != op(op(op(e1,e1),e1),e1) ),
inference(cnf_transformation,[],[f39]) ).
fof(f39,plain,
( e0 != op(e1,e1)
| e3 != op(op(e1,e1),e1)
| e2 != op(op(op(e1,e1),e1),e1) ),
inference(ennf_transformation,[],[f15]) ).
fof(f15,axiom,
~ ( e0 = op(e1,e1)
& e3 = op(op(e1,e1),e1)
& e2 = op(op(op(e1,e1),e1),e1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax15) ).
fof(f6234,plain,
( spl4_2
| spl4_6
| spl4_4
| ~ spl4_68
| ~ spl4_70
| ~ spl4_80
| ~ spl4_113 ),
inference(avatar_split_clause,[],[f6196,f1022,f690,f645,f636,f322,f332,f312]) ).
fof(f6196,plain,
( e1 = e2
| e2 = e3
| e0 = e2
| ~ spl4_68
| ~ spl4_70
| ~ spl4_80
| ~ spl4_113 ),
inference(forward_demodulation,[],[f5156,f1024]) ).
fof(f5156,plain,
( e2 = e3
| e0 = e2
| e2 = op(e3,e1)
| ~ spl4_68
| ~ spl4_70
| ~ spl4_80 ),
inference(duplicate_literal_removal,[],[f5155]) ).
fof(f5155,plain,
( e2 = e3
| e0 = e2
| e2 = e3
| e2 = op(e3,e1)
| ~ spl4_68
| ~ spl4_70
| ~ spl4_80 ),
inference(forward_demodulation,[],[f5154,f638]) ).
fof(f5154,plain,
( e0 = e2
| e2 = e3
| e2 = op(e3,e1)
| e2 = op(e0,e1)
| ~ spl4_70
| ~ spl4_80 ),
inference(forward_demodulation,[],[f3495,f647]) ).
fof(f6164,plain,
( spl4_69
| spl4_81
| spl4_1
| spl4_4
| ~ spl4_90
| ~ spl4_93 ),
inference(avatar_split_clause,[],[f3486,f758,f738,f322,f307,f695,f641]) ).
fof(f3486,plain,
( e1 = e2
| e0 = e1
| e1 = op(e3,e0)
| e1 = op(e1,e0)
| ~ spl4_90
| ~ spl4_93 ),
inference(forward_demodulation,[],[f3485,f760]) ).
fof(f3485,plain,
( e0 = e1
| e1 = op(e3,e0)
| e1 = op(e1,e0)
| op(e0,e0) = e1
| ~ spl4_90 ),
inference(forward_demodulation,[],[f189,f740]) ).
fof(f189,plain,
( e1 = op(e3,e0)
| e1 = op(e2,e0)
| e1 = op(e1,e0)
| op(e0,e0) = e1 ),
inference(cnf_transformation,[],[f2]) ).
fof(f6136,plain,
( spl4_97
| spl4_3
| spl4_1
| ~ spl4_67
| ~ spl4_117
| ~ spl4_121 ),
inference(avatar_split_clause,[],[f6124,f1576,f1073,f632,f307,f317,f808]) ).
fof(f6124,plain,
( e0 = e1
| e0 = e3
| e0 = op(e3,e3)
| ~ spl4_67
| ~ spl4_117
| ~ spl4_121 ),
inference(forward_demodulation,[],[f6123,f633]) ).
fof(f6123,plain,
( e0 = e3
| e0 = op(e3,e3)
| e0 = op(e0,e3)
| ~ spl4_117
| ~ spl4_121 ),
inference(duplicate_literal_removal,[],[f6122]) ).
fof(f6122,plain,
( e0 = e3
| e0 = e3
| e0 = op(e3,e3)
| e0 = op(e0,e3)
| ~ spl4_117
| ~ spl4_121 ),
inference(forward_demodulation,[],[f3788,f1578]) ).
fof(f6120,plain,
( spl4_13
| spl4_119
| spl4_6
| spl4_2
| ~ spl4_87
| ~ spl4_102 ),
inference(avatar_split_clause,[],[f2858,f831,f722,f312,f332,f1566,f364]) ).
fof(f2858,plain,
( e0 = e2
| e2 = e3
| e2 = op(e3,e2)
| e2 = op(e2,e2)
| ~ spl4_87
| ~ spl4_102 ),
inference(forward_demodulation,[],[f2857,f724]) ).
fof(f2857,plain,
( e2 = e3
| e2 = op(e3,e2)
| e2 = op(e2,e2)
| e2 = op(e0,e2)
| ~ spl4_102 ),
inference(forward_demodulation,[],[f207,f832]) ).
fof(f6107,plain,
( spl4_96
| spl4_6
| spl4_2
| spl4_4
| ~ spl4_67
| ~ spl4_97
| ~ spl4_121 ),
inference(avatar_split_clause,[],[f6057,f1576,f808,f632,f322,f312,f332,f804]) ).
fof(f6057,plain,
( e1 = e2
| e0 = e2
| e2 = e3
| e2 = op(e1,e3)
| ~ spl4_67
| ~ spl4_97
| ~ spl4_121 ),
inference(forward_demodulation,[],[f6056,f633]) ).
fof(f6056,plain,
( e0 = e2
| e2 = e3
| e2 = op(e1,e3)
| e2 = op(e0,e3)
| ~ spl4_97
| ~ spl4_121 ),
inference(forward_demodulation,[],[f5743,f809]) ).
fof(f5743,plain,
( e2 = e3
| e2 = op(e3,e3)
| e2 = op(e1,e3)
| e2 = op(e0,e3)
| ~ spl4_121 ),
inference(forward_demodulation,[],[f215,f1578]) ).
fof(f6087,plain,
( spl4_114
| spl4_2
| spl4_6
| spl4_4
| ~ spl4_67
| ~ spl4_97
| ~ spl4_117 ),
inference(avatar_split_clause,[],[f6050,f1073,f808,f632,f322,f332,f312,f1035]) ).
fof(f6050,plain,
( e1 = e2
| e2 = e3
| e0 = e2
| e2 = op(e2,e3)
| ~ spl4_67
| ~ spl4_97
| ~ spl4_117 ),
inference(forward_demodulation,[],[f6049,f633]) ).
fof(f6049,plain,
( e2 = e3
| e0 = e2
| e2 = op(e2,e3)
| e2 = op(e0,e3)
| ~ spl4_97
| ~ spl4_117 ),
inference(forward_demodulation,[],[f4003,f1075]) ).
fof(f4003,plain,
( e0 = e2
| e2 = op(e2,e3)
| e2 = op(e1,e3)
| e2 = op(e0,e3)
| ~ spl4_97 ),
inference(forward_demodulation,[],[f215,f809]) ).
fof(f6086,plain,
( ~ spl4_89
| spl4_18
| ~ spl4_90 ),
inference(avatar_split_clause,[],[f4791,f738,f389,f734]) ).
fof(f389,plain,
( spl4_18
<=> op(e1,e0) = op(e2,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_18])]) ).
fof(f4791,plain,
( e0 != op(e1,e0)
| spl4_18
| ~ spl4_90 ),
inference(superposition,[],[f391,f740]) ).
fof(f391,plain,
( op(e1,e0) != op(e2,e0)
| spl4_18 ),
inference(avatar_component_clause,[],[f389]) ).
fof(f6078,plain,
( spl4_119
| spl4_4
| spl4_2
| spl4_6
| ~ spl4_97
| ~ spl4_113
| ~ spl4_122 ),
inference(avatar_split_clause,[],[f6039,f3961,f1022,f808,f332,f312,f322,f1566]) ).
fof(f6039,plain,
( e2 = e3
| e0 = e2
| e1 = e2
| e2 = op(e3,e2)
| ~ spl4_97
| ~ spl4_113
| ~ spl4_122 ),
inference(forward_demodulation,[],[f6038,f3963]) ).
fof(f6038,plain,
( e0 = e2
| e1 = e2
| e2 = op(e3,e2)
| e2 = op(e3,e0)
| ~ spl4_97
| ~ spl4_113 ),
inference(forward_demodulation,[],[f1809,f809]) ).
fof(f1809,plain,
( e1 = e2
| e2 = op(e3,e3)
| e2 = op(e3,e2)
| e2 = op(e3,e0)
| ~ spl4_113 ),
inference(forward_demodulation,[],[f214,f1024]) ).
fof(f6035,plain,
( spl4_5
| spl4_74
| spl4_3
| ~ spl4_84
| ~ spl4_87
| ~ spl4_113 ),
inference(avatar_split_clause,[],[f6008,f1022,f722,f708,f317,f663,f327]) ).
fof(f6008,plain,
( e0 = e3
| e3 = op(e1,e1)
| e1 = e3
| ~ spl4_84
| ~ spl4_87
| ~ spl4_113 ),
inference(forward_demodulation,[],[f6007,f724]) ).
fof(f6007,plain,
( e3 = op(e1,e1)
| e1 = e3
| e3 = op(e0,e2)
| ~ spl4_84
| ~ spl4_113 ),
inference(duplicate_literal_removal,[],[f6006]) ).
fof(f6006,plain,
( e3 = op(e1,e1)
| e3 = op(e1,e1)
| e1 = e3
| e3 = op(e0,e2)
| ~ spl4_84
| ~ spl4_113 ),
inference(forward_demodulation,[],[f4149,f4112]) ).
fof(f4149,plain,
( e3 = op(e1,e1)
| e1 = e3
| e3 = op(e1,e2)
| e3 = op(e0,e2)
| ~ spl4_84
| ~ spl4_113 ),
inference(forward_demodulation,[],[f4148,f4112]) ).
fof(f4148,plain,
( e1 = e3
| e3 = op(e2,e2)
| e3 = op(e1,e2)
| e3 = op(e0,e2)
| ~ spl4_84
| ~ spl4_113 ),
inference(forward_demodulation,[],[f4147,f4112]) ).
fof(f4147,plain,
( e2 = e3
| e3 = op(e2,e2)
| e3 = op(e1,e2)
| e3 = op(e0,e2)
| ~ spl4_84
| ~ spl4_113 ),
inference(forward_demodulation,[],[f4146,f710]) ).
fof(f4146,plain,
( e3 = op(e3,e1)
| e3 = op(e2,e2)
| e3 = op(e1,e2)
| e3 = op(e0,e2)
| ~ spl4_84
| ~ spl4_113 ),
inference(forward_demodulation,[],[f209,f4112]) ).
fof(f6005,plain,
( spl4_5
| spl4_74
| spl4_6
| spl4_3
| ~ spl4_84
| ~ spl4_87
| ~ spl4_112
| ~ spl4_113 ),
inference(avatar_split_clause,[],[f5996,f1022,f993,f722,f708,f317,f332,f663,f327]) ).
fof(f5996,plain,
( e0 = e3
| e2 = e3
| e3 = op(e1,e1)
| e1 = e3
| ~ spl4_84
| ~ spl4_87
| ~ spl4_112
| ~ spl4_113 ),
inference(forward_demodulation,[],[f5995,f724]) ).
fof(f5995,plain,
( e2 = e3
| e3 = op(e1,e1)
| e1 = e3
| e3 = op(e0,e2)
| ~ spl4_84
| ~ spl4_112
| ~ spl4_113 ),
inference(forward_demodulation,[],[f4149,f995]) ).
fof(f5991,plain,
( spl4_12
| spl4_113
| spl4_1
| spl4_5
| ~ spl4_68
| ~ spl4_76 ),
inference(avatar_split_clause,[],[f5036,f672,f636,f327,f307,f1022,f359]) ).
fof(f5036,plain,
( e1 = e3
| e0 = e1
| e1 = op(e3,e1)
| e1 = op(e1,e1)
| ~ spl4_68
| ~ spl4_76 ),
inference(forward_demodulation,[],[f4985,f638]) ).
fof(f4985,plain,
( e0 = e1
| e1 = op(e3,e1)
| e1 = op(e1,e1)
| e1 = op(e0,e1)
| ~ spl4_76 ),
inference(forward_demodulation,[],[f197,f674]) ).
fof(f5968,plain,
( spl4_122
| spl4_6
| spl4_5
| spl4_3
| ~ spl4_75
| ~ spl4_89
| ~ spl4_93 ),
inference(avatar_split_clause,[],[f5894,f758,f734,f668,f317,f327,f332,f3961]) ).
fof(f5894,plain,
( e0 = e3
| e1 = e3
| e2 = e3
| e3 = op(e3,e0)
| ~ spl4_75
| ~ spl4_89
| ~ spl4_93 ),
inference(forward_demodulation,[],[f4987,f736]) ).
fof(f4987,plain,
( e1 = e3
| e2 = e3
| e3 = op(e3,e0)
| e3 = op(e1,e0)
| ~ spl4_75
| ~ spl4_93 ),
inference(forward_demodulation,[],[f4763,f669]) ).
fof(f5933,plain,
( ~ spl4_84
| ~ spl4_74
| ~ spl4_76 ),
inference(avatar_split_clause,[],[f5891,f672,f663,f708]) ).
fof(f5891,plain,
( e2 != op(e3,e1)
| ~ spl4_74
| ~ spl4_76 ),
inference(trivial_inequality_removal,[],[f5890]) ).
fof(f5890,plain,
( e0 != e0
| e2 != op(e3,e1)
| ~ spl4_74
| ~ spl4_76 ),
inference(forward_demodulation,[],[f5819,f674]) ).
fof(f5819,plain,
( e2 != op(e3,e1)
| e0 != op(e2,e1)
| ~ spl4_74 ),
inference(trivial_inequality_removal,[],[f5818]) ).
fof(f5818,plain,
( e3 != e3
| e2 != op(e3,e1)
| e0 != op(e2,e1)
| ~ spl4_74 ),
inference(forward_demodulation,[],[f271,f665]) ).
fof(f271,plain,
( e3 != op(e1,e1)
| e2 != op(e3,e1)
| e0 != op(e2,e1) ),
inference(inner_rewriting,[],[f270]) ).
fof(f270,plain,
( e3 != op(e1,e1)
| e2 != op(e3,e1)
| e0 != op(op(e3,e1),e1) ),
inference(inner_rewriting,[],[f240]) ).
fof(f240,plain,
( e3 != op(e1,e1)
| e2 != op(op(e1,e1),e1)
| e0 != op(op(op(e1,e1),e1),e1) ),
inference(cnf_transformation,[],[f36]) ).
fof(f36,plain,
( e3 != op(e1,e1)
| e2 != op(op(e1,e1),e1)
| e0 != op(op(op(e1,e1),e1),e1) ),
inference(ennf_transformation,[],[f12]) ).
fof(f12,axiom,
~ ( e3 = op(e1,e1)
& e2 = op(op(e1,e1),e1)
& e0 = op(op(op(e1,e1),e1),e1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax12) ).
fof(f5888,plain,
( spl4_5
| ~ spl4_83
| ~ spl4_115 ),
inference(avatar_split_clause,[],[f1545,f1064,f704,f327]) ).
fof(f1545,plain,
( e1 = e3
| ~ spl4_83
| ~ spl4_115 ),
inference(superposition,[],[f705,f1065]) ).
fof(f5814,plain,
( spl4_112
| spl4_2
| spl4_4
| spl4_6
| ~ spl4_73
| ~ spl4_74
| ~ spl4_89 ),
inference(avatar_split_clause,[],[f5774,f734,f663,f659,f332,f322,f312,f993]) ).
fof(f5774,plain,
( e2 = e3
| e1 = e2
| e0 = e2
| e2 = op(e1,e2)
| ~ spl4_73
| ~ spl4_74
| ~ spl4_89 ),
inference(forward_demodulation,[],[f5760,f665]) ).
fof(f5760,plain,
( e1 = e2
| e0 = e2
| e2 = op(e1,e2)
| e2 = op(e1,e1)
| ~ spl4_73
| ~ spl4_89 ),
inference(forward_demodulation,[],[f5038,f660]) ).
fof(f5038,plain,
( e0 = e2
| e2 = op(e1,e3)
| e2 = op(e1,e2)
| e2 = op(e1,e1)
| ~ spl4_89 ),
inference(forward_demodulation,[],[f198,f736]) ).
fof(f5802,plain,
( spl4_115
| spl4_6
| spl4_3
| spl4_5
| ~ spl4_81
| ~ spl4_82
| ~ spl4_99 ),
inference(avatar_split_clause,[],[f5700,f817,f699,f695,f327,f317,f332,f1064]) ).
fof(f5700,plain,
( e1 = e3
| e0 = e3
| e2 = e3
| e3 = op(e3,e2)
| ~ spl4_81
| ~ spl4_82
| ~ spl4_99 ),
inference(forward_demodulation,[],[f5699,f696]) ).
fof(f5699,plain,
( e0 = e3
| e2 = e3
| e3 = op(e3,e2)
| e3 = op(e3,e0)
| ~ spl4_82
| ~ spl4_99 ),
inference(forward_demodulation,[],[f5698,f701]) ).
fof(f5698,plain,
( e2 = e3
| e3 = op(e3,e2)
| e3 = op(e3,e1)
| e3 = op(e3,e0)
| ~ spl4_99 ),
inference(forward_demodulation,[],[f216,f818]) ).
fof(f5787,plain,
( spl4_99
| spl4_6
| spl4_4
| spl4_2
| ~ spl4_73
| ~ spl4_88
| ~ spl4_121 ),
inference(avatar_split_clause,[],[f5745,f1576,f726,f659,f312,f322,f332,f817]) ).
fof(f5745,plain,
( e0 = e2
| e1 = e2
| e2 = e3
| e2 = op(e3,e3)
| ~ spl4_73
| ~ spl4_88
| ~ spl4_121 ),
inference(forward_demodulation,[],[f5744,f728]) ).
fof(f5744,plain,
( e1 = e2
| e2 = e3
| e2 = op(e3,e3)
| e2 = op(e0,e3)
| ~ spl4_73
| ~ spl4_121 ),
inference(forward_demodulation,[],[f5743,f660]) ).
fof(f5773,plain,
( spl4_72
| spl4_4
| spl4_2
| ~ spl4_73
| ~ spl4_89
| ~ spl4_108 ),
inference(avatar_split_clause,[],[f5762,f902,f734,f659,f312,f322,f654]) ).
fof(f5762,plain,
( e0 = e2
| e1 = e2
| e2 = op(e1,e1)
| ~ spl4_73
| ~ spl4_89
| ~ spl4_108 ),
inference(duplicate_literal_removal,[],[f5761]) ).
fof(f5761,plain,
( e0 = e2
| e1 = e2
| e0 = e2
| e2 = op(e1,e1)
| ~ spl4_73
| ~ spl4_89
| ~ spl4_108 ),
inference(forward_demodulation,[],[f5760,f904]) ).
fof(f5772,plain,
( ~ spl4_77
| ~ spl4_108
| ~ spl4_110 ),
inference(avatar_split_clause,[],[f5683,f922,f902,f677]) ).
fof(f5683,plain,
( e1 != op(e2,e2)
| ~ spl4_108
| ~ spl4_110 ),
inference(trivial_inequality_removal,[],[f5682]) ).
fof(f5682,plain,
( e3 != e3
| e1 != op(e2,e2)
| ~ spl4_108
| ~ spl4_110 ),
inference(forward_demodulation,[],[f5681,f924]) ).
fof(f5681,plain,
( e1 != op(e2,e2)
| e3 != op(e0,e2)
| ~ spl4_108 ),
inference(trivial_inequality_removal,[],[f5680]) ).
fof(f5747,plain,
( spl4_14
| spl4_3
| spl4_5
| ~ spl4_81
| ~ spl4_82
| ~ spl4_100 ),
inference(avatar_split_clause,[],[f5724,f822,f699,f695,f327,f317,f369]) ).
fof(f5724,plain,
( e1 = e3
| e0 = e3
| e3 = op(e3,e3)
| ~ spl4_81
| ~ spl4_82
| ~ spl4_100 ),
inference(forward_demodulation,[],[f5723,f696]) ).
fof(f5723,plain,
( e0 = e3
| e3 = op(e3,e3)
| e3 = op(e3,e0)
| ~ spl4_82
| ~ spl4_100 ),
inference(duplicate_literal_removal,[],[f5722]) ).
fof(f5722,plain,
( e0 = e3
| e0 = e3
| e3 = op(e3,e3)
| e3 = op(e3,e0)
| ~ spl4_82
| ~ spl4_100 ),
inference(forward_demodulation,[],[f2999,f701]) ).
fof(f5721,plain,
( spl4_6
| spl4_3
| spl4_5
| ~ spl4_81
| ~ spl4_82
| ~ spl4_99
| ~ spl4_100 ),
inference(avatar_split_clause,[],[f5710,f822,f817,f699,f695,f327,f317,f332]) ).
fof(f5710,plain,
( e1 = e3
| e0 = e3
| e2 = e3
| ~ spl4_81
| ~ spl4_82
| ~ spl4_99
| ~ spl4_100 ),
inference(forward_demodulation,[],[f5709,f696]) ).
fof(f5709,plain,
( e0 = e3
| e2 = e3
| e3 = op(e3,e0)
| ~ spl4_82
| ~ spl4_99
| ~ spl4_100 ),
inference(duplicate_literal_removal,[],[f5708]) ).
fof(f5708,plain,
( e0 = e3
| e2 = e3
| e0 = e3
| e3 = op(e3,e0)
| ~ spl4_82
| ~ spl4_99
| ~ spl4_100 ),
inference(forward_demodulation,[],[f5707,f701]) ).
fof(f5707,plain,
( e2 = e3
| e0 = e3
| e3 = op(e3,e1)
| e3 = op(e3,e0)
| ~ spl4_99
| ~ spl4_100 ),
inference(forward_demodulation,[],[f2999,f818]) ).
fof(f5702,plain,
( ~ spl4_77
| ~ spl4_108
| ~ spl4_110 ),
inference(avatar_split_clause,[],[f5683,f922,f902,f677]) ).
fof(f5694,plain,
( spl4_5
| ~ spl4_81
| ~ spl4_122 ),
inference(avatar_split_clause,[],[f5665,f3961,f695,f327]) ).
fof(f5665,plain,
( e1 = e3
| ~ spl4_81
| ~ spl4_122 ),
inference(superposition,[],[f696,f3963]) ).
fof(f5678,plain,
( spl4_77
| spl4_79
| spl4_1
| spl4_4
| ~ spl4_78
| ~ spl4_90 ),
inference(avatar_split_clause,[],[f3326,f738,f681,f322,f307,f686,f677]) ).
fof(f3326,plain,
( e1 = e2
| e0 = e1
| e1 = op(e2,e3)
| e1 = op(e2,e2)
| ~ spl4_78
| ~ spl4_90 ),
inference(forward_demodulation,[],[f3066,f683]) ).
fof(f3066,plain,
( e0 = e1
| e1 = op(e2,e3)
| e1 = op(e2,e2)
| e1 = op(e2,e1)
| ~ spl4_90 ),
inference(forward_demodulation,[],[f204,f740]) ).
fof(f5650,plain,
( spl4_76
| spl4_82
| spl4_1
| spl4_3
| ~ spl4_74
| ~ spl4_92 ),
inference(avatar_split_clause,[],[f2467,f749,f663,f317,f307,f699,f672]) ).
fof(f2467,plain,
( e0 = e3
| e0 = e1
| e0 = op(e3,e1)
| e0 = op(e2,e1)
| ~ spl4_74
| ~ spl4_92 ),
inference(forward_demodulation,[],[f2285,f665]) ).
fof(f2285,plain,
( e0 = e1
| e0 = op(e3,e1)
| e0 = op(e2,e1)
| e0 = op(e1,e1)
| ~ spl4_92 ),
inference(forward_demodulation,[],[f195,f751]) ).
fof(f5644,plain,
( spl4_82
| spl4_3
| spl4_1
| ~ spl4_74
| ~ spl4_92
| ~ spl4_118 ),
inference(avatar_split_clause,[],[f5613,f1532,f749,f663,f307,f317,f699]) ).
fof(f5613,plain,
( e0 = e1
| e0 = e3
| e0 = op(e3,e1)
| ~ spl4_74
| ~ spl4_92
| ~ spl4_118 ),
inference(duplicate_literal_removal,[],[f5612]) ).
fof(f5612,plain,
( e0 = e1
| e0 = e3
| e0 = e1
| e0 = op(e3,e1)
| ~ spl4_74
| ~ spl4_92
| ~ spl4_118 ),
inference(forward_demodulation,[],[f5611,f751]) ).
fof(f5611,plain,
( e0 = e3
| e0 = e1
| e0 = op(e3,e1)
| e0 = op(e0,e1)
| ~ spl4_74
| ~ spl4_118 ),
inference(forward_demodulation,[],[f1952,f665]) ).
fof(f1952,plain,
( e0 = e1
| e0 = op(e3,e1)
| e0 = op(e1,e1)
| e0 = op(e0,e1)
| ~ spl4_118 ),
inference(forward_demodulation,[],[f195,f1534]) ).
fof(f5610,plain,
( spl4_5
| ~ spl4_73
| ~ spl4_117 ),
inference(avatar_split_clause,[],[f5547,f1073,f659,f327]) ).
fof(f5547,plain,
( e1 = e3
| ~ spl4_73
| ~ spl4_117 ),
inference(superposition,[],[f660,f1075]) ).
fof(f5599,plain,
( spl4_118
| ~ spl4_73
| ~ spl4_117
| ~ spl4_121 ),
inference(avatar_split_clause,[],[f5597,f1576,f1073,f659,f1532]) ).
fof(f5597,plain,
( e1 = op(e2,e1)
| ~ spl4_73
| ~ spl4_117
| ~ spl4_121 ),
inference(forward_demodulation,[],[f1578,f5547]) ).
fof(f5569,plain,
( spl4_82
| spl4_1
| spl4_3
| ~ spl4_74
| ~ spl4_80
| ~ spl4_92 ),
inference(avatar_split_clause,[],[f5539,f749,f690,f663,f317,f307,f699]) ).
fof(f5539,plain,
( e0 = e3
| e0 = e1
| e0 = op(e3,e1)
| ~ spl4_74
| ~ spl4_80
| ~ spl4_92 ),
inference(duplicate_literal_removal,[],[f5538]) ).
fof(f5538,plain,
( e0 = e3
| e0 = e3
| e0 = e1
| e0 = op(e3,e1)
| ~ spl4_74
| ~ spl4_80
| ~ spl4_92 ),
inference(forward_demodulation,[],[f2467,f692]) ).
fof(f5526,plain,
( spl4_13
| spl4_2
| spl4_4
| spl4_6
| ~ spl4_79
| ~ spl4_80
| ~ spl4_90 ),
inference(avatar_split_clause,[],[f5460,f738,f690,f686,f332,f322,f312,f364]) ).
fof(f5460,plain,
( e2 = e3
| e1 = e2
| e0 = e2
| e2 = op(e2,e2)
| ~ spl4_79
| ~ spl4_80
| ~ spl4_90 ),
inference(forward_demodulation,[],[f5459,f692]) ).
fof(f5459,plain,
( e1 = e2
| e0 = e2
| e2 = op(e2,e2)
| e2 = op(e2,e1)
| ~ spl4_79
| ~ spl4_90 ),
inference(forward_demodulation,[],[f3065,f687]) ).
fof(f3065,plain,
( e0 = e2
| e2 = op(e2,e3)
| e2 = op(e2,e2)
| e2 = op(e2,e1)
| ~ spl4_90 ),
inference(forward_demodulation,[],[f206,f740]) ).
fof(f5513,plain,
( spl4_122
| spl4_115
| spl4_6
| ~ spl4_84
| ~ spl4_99 ),
inference(avatar_split_clause,[],[f5498,f817,f708,f332,f1064,f3961]) ).
fof(f5498,plain,
( e2 = e3
| e3 = op(e3,e2)
| e3 = op(e3,e0)
| ~ spl4_84
| ~ spl4_99 ),
inference(duplicate_literal_removal,[],[f5497]) ).
fof(f5497,plain,
( e2 = e3
| e2 = e3
| e3 = op(e3,e2)
| e3 = op(e3,e0)
| ~ spl4_84
| ~ spl4_99 ),
inference(forward_demodulation,[],[f5371,f818]) ).
fof(f5511,plain,
( ~ spl4_120
| spl4_51
| ~ spl4_80 ),
inference(avatar_split_clause,[],[f4103,f690,f554,f1572]) ).
fof(f554,plain,
( spl4_51
<=> op(e2,e0) = op(e2,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_51])]) ).
fof(f4103,plain,
( e3 != op(e2,e0)
| spl4_51
| ~ spl4_80 ),
inference(superposition,[],[f556,f692]) ).
fof(f556,plain,
( op(e2,e0) != op(e2,e1)
| spl4_51 ),
inference(avatar_component_clause,[],[f554]) ).
fof(f5492,plain,
( spl4_82
| spl4_2
| spl4_3
| spl4_1
| ~ spl4_72
| ~ spl4_80
| ~ spl4_92 ),
inference(avatar_split_clause,[],[f5441,f749,f690,f654,f307,f317,f312,f699]) ).
fof(f5441,plain,
( e0 = e1
| e0 = e3
| e0 = e2
| e0 = op(e3,e1)
| ~ spl4_72
| ~ spl4_80
| ~ spl4_92 ),
inference(forward_demodulation,[],[f5440,f751]) ).
fof(f5440,plain,
( e0 = e3
| e0 = e2
| e0 = op(e3,e1)
| e0 = op(e0,e1)
| ~ spl4_72
| ~ spl4_80 ),
inference(forward_demodulation,[],[f1997,f692]) ).
fof(f5482,plain,
( spl4_99
| spl4_4
| spl4_6
| spl4_2
| ~ spl4_79
| ~ spl4_88
| ~ spl4_117 ),
inference(avatar_split_clause,[],[f5309,f1073,f726,f686,f312,f332,f322,f817]) ).
fof(f5309,plain,
( e0 = e2
| e2 = e3
| e1 = e2
| e2 = op(e3,e3)
| ~ spl4_79
| ~ spl4_88
| ~ spl4_117 ),
inference(forward_demodulation,[],[f5308,f728]) ).
fof(f5308,plain,
( e2 = e3
| e1 = e2
| e2 = op(e3,e3)
| e2 = op(e0,e3)
| ~ spl4_79
| ~ spl4_117 ),
inference(forward_demodulation,[],[f1709,f1075]) ).
fof(f5439,plain,
( ~ spl4_82
| ~ spl4_72
| ~ spl4_80 ),
inference(avatar_split_clause,[],[f5416,f690,f654,f699]) ).
fof(f5416,plain,
( e0 != op(e3,e1)
| ~ spl4_72
| ~ spl4_80 ),
inference(trivial_inequality_removal,[],[f5415]) ).
fof(f5415,plain,
( e3 != e3
| e0 != op(e3,e1)
| ~ spl4_72
| ~ spl4_80 ),
inference(forward_demodulation,[],[f4907,f692]) ).
fof(f4907,plain,
( e3 != op(e2,e1)
| e0 != op(e3,e1)
| ~ spl4_72 ),
inference(trivial_inequality_removal,[],[f2016]) ).
fof(f2016,plain,
( e2 != e2
| e3 != op(e2,e1)
| e0 != op(e3,e1)
| ~ spl4_72 ),
inference(forward_demodulation,[],[f273,f656]) ).
fof(f273,plain,
( e2 != op(e1,e1)
| e3 != op(e2,e1)
| e0 != op(e3,e1) ),
inference(inner_rewriting,[],[f272]) ).
fof(f272,plain,
( e2 != op(e1,e1)
| e3 != op(e2,e1)
| e0 != op(op(e2,e1),e1) ),
inference(inner_rewriting,[],[f241]) ).
fof(f241,plain,
( e2 != op(e1,e1)
| e3 != op(op(e1,e1),e1)
| e0 != op(op(op(e1,e1),e1),e1) ),
inference(cnf_transformation,[],[f37]) ).
fof(f37,plain,
( e2 != op(e1,e1)
| e3 != op(op(e1,e1),e1)
| e0 != op(op(op(e1,e1),e1),e1) ),
inference(ennf_transformation,[],[f13]) ).
fof(f13,axiom,
~ ( e2 = op(e1,e1)
& e3 = op(op(e1,e1),e1)
& e0 = op(op(op(e1,e1),e1),e1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax13) ).
fof(f5392,plain,
( spl4_83
| spl4_1
| spl4_5
| spl4_4
| ~ spl4_103
| ~ spl4_110
| ~ spl4_112 ),
inference(avatar_split_clause,[],[f5277,f993,f922,f835,f322,f327,f307,f704]) ).
fof(f5277,plain,
( e1 = e2
| e1 = e3
| e0 = e1
| e1 = op(e3,e2)
| ~ spl4_103
| ~ spl4_110
| ~ spl4_112 ),
inference(forward_demodulation,[],[f4836,f995]) ).
fof(f4836,plain,
( e1 = e3
| e0 = e1
| e1 = op(e3,e2)
| e1 = op(e1,e2)
| ~ spl4_103
| ~ spl4_110 ),
inference(forward_demodulation,[],[f3650,f924]) ).
fof(f3650,plain,
( e0 = e1
| e1 = op(e3,e2)
| e1 = op(e1,e2)
| e1 = op(e0,e2)
| ~ spl4_103 ),
inference(forward_demodulation,[],[f205,f836]) ).
fof(f5367,plain,
( spl4_85
| spl4_4
| spl4_1
| ~ spl4_84
| ~ spl4_91
| ~ spl4_119 ),
inference(avatar_split_clause,[],[f5282,f1566,f742,f708,f307,f322,f713]) ).
fof(f5282,plain,
( e0 = e1
| e1 = e2
| e1 = op(e3,e3)
| ~ spl4_84
| ~ spl4_91
| ~ spl4_119 ),
inference(forward_demodulation,[],[f3940,f744]) ).
fof(f3940,plain,
( e1 = e2
| e1 = op(e3,e3)
| e1 = op(e3,e0)
| ~ spl4_84
| ~ spl4_119 ),
inference(duplicate_literal_removal,[],[f2871]) ).
fof(f2871,plain,
( e1 = e2
| e1 = e2
| e1 = op(e3,e3)
| e1 = op(e3,e0)
| ~ spl4_84
| ~ spl4_119 ),
inference(forward_demodulation,[],[f1954,f710]) ).
fof(f1954,plain,
( e1 = e2
| e1 = op(e3,e3)
| e1 = op(e3,e1)
| e1 = op(e3,e0)
| ~ spl4_119 ),
inference(forward_demodulation,[],[f212,f1568]) ).
fof(f5363,plain,
( spl4_4
| spl4_6
| spl4_2
| ~ spl4_79
| ~ spl4_80
| ~ spl4_103
| ~ spl4_120 ),
inference(avatar_split_clause,[],[f5299,f1572,f835,f690,f686,f312,f332,f322]) ).
fof(f5299,plain,
( e0 = e2
| e2 = e3
| e1 = e2
| ~ spl4_79
| ~ spl4_80
| ~ spl4_103
| ~ spl4_120 ),
inference(forward_demodulation,[],[f5169,f836]) ).
fof(f5169,plain,
( e2 = e3
| e1 = e2
| e2 = op(e2,e2)
| ~ spl4_79
| ~ spl4_80
| ~ spl4_120 ),
inference(duplicate_literal_removal,[],[f5168]) ).
fof(f5168,plain,
( e2 = e3
| e2 = e3
| e1 = e2
| e2 = op(e2,e2)
| ~ spl4_79
| ~ spl4_80
| ~ spl4_120 ),
inference(forward_demodulation,[],[f4384,f1574]) ).
fof(f4384,plain,
( e2 = e3
| e1 = e2
| e2 = op(e2,e2)
| e2 = op(e2,e0)
| ~ spl4_79
| ~ spl4_80 ),
inference(forward_demodulation,[],[f2861,f692]) ).
fof(f5239,plain,
( spl4_97
| spl4_2
| spl4_3
| ~ spl4_96
| ~ spl4_111
| ~ spl4_121 ),
inference(avatar_split_clause,[],[f5229,f1576,f926,f804,f317,f312,f808]) ).
fof(f5229,plain,
( e0 = e3
| e0 = e2
| e0 = op(e3,e3)
| ~ spl4_96
| ~ spl4_111
| ~ spl4_121 ),
inference(duplicate_literal_removal,[],[f5228]) ).
fof(f5228,plain,
( e0 = e3
| e0 = e2
| e0 = e3
| e0 = op(e3,e3)
| ~ spl4_96
| ~ spl4_111
| ~ spl4_121 ),
inference(forward_demodulation,[],[f5132,f928]) ).
fof(f5132,plain,
( e0 = e2
| e0 = e3
| e0 = op(e3,e3)
| e0 = op(e0,e3)
| ~ spl4_96
| ~ spl4_121 ),
inference(forward_demodulation,[],[f3678,f805]) ).
fof(f3678,plain,
( e0 = e3
| e0 = op(e3,e3)
| e0 = op(e1,e3)
| e0 = op(e0,e3)
| ~ spl4_121 ),
inference(forward_demodulation,[],[f211,f1578]) ).
fof(f5226,plain,
( spl4_97
| spl4_3
| spl4_2
| ~ spl4_96
| ~ spl4_111
| ~ spl4_114 ),
inference(avatar_split_clause,[],[f5201,f1035,f926,f804,f312,f317,f808]) ).
fof(f5201,plain,
( e0 = e2
| e0 = e3
| e0 = op(e3,e3)
| ~ spl4_96
| ~ spl4_111
| ~ spl4_114 ),
inference(duplicate_literal_removal,[],[f5200]) ).
fof(f5200,plain,
( e0 = e2
| e0 = e3
| e0 = e2
| e0 = op(e3,e3)
| ~ spl4_96
| ~ spl4_111
| ~ spl4_114 ),
inference(forward_demodulation,[],[f4157,f805]) ).
fof(f5193,plain,
( spl4_6
| spl4_5
| ~ spl4_67
| ~ spl4_79
| ~ spl4_85
| ~ spl4_96 ),
inference(avatar_split_clause,[],[f5163,f804,f713,f686,f632,f327,f332]) ).
fof(f5163,plain,
( e1 = e3
| e2 = e3
| ~ spl4_67
| ~ spl4_79
| ~ spl4_85
| ~ spl4_96 ),
inference(duplicate_literal_removal,[],[f5162]) ).
fof(f5162,plain,
( e1 = e3
| e2 = e3
| e1 = e3
| ~ spl4_67
| ~ spl4_79
| ~ spl4_85
| ~ spl4_96 ),
inference(forward_demodulation,[],[f5161,f633]) ).
fof(f5161,plain,
( e2 = e3
| e1 = e3
| e3 = op(e0,e3)
| ~ spl4_79
| ~ spl4_85
| ~ spl4_96 ),
inference(forward_demodulation,[],[f4555,f805]) ).
fof(f4555,plain,
( e1 = e3
| e3 = op(e1,e3)
| e3 = op(e0,e3)
| ~ spl4_79
| ~ spl4_85 ),
inference(duplicate_literal_removal,[],[f4554]) ).
fof(f4554,plain,
( e1 = e3
| e1 = e3
| e3 = op(e1,e3)
| e3 = op(e0,e3)
| ~ spl4_79
| ~ spl4_85 ),
inference(forward_demodulation,[],[f4553,f687]) ).
fof(f5142,plain,
( spl4_97
| spl4_3
| spl4_2
| spl4_1
| ~ spl4_67
| ~ spl4_96
| ~ spl4_121 ),
inference(avatar_split_clause,[],[f5131,f1576,f804,f632,f307,f312,f317,f808]) ).
fof(f5131,plain,
( e0 = e1
| e0 = e2
| e0 = e3
| e0 = op(e3,e3)
| ~ spl4_67
| ~ spl4_96
| ~ spl4_121 ),
inference(forward_demodulation,[],[f5130,f633]) ).
fof(f5130,plain,
( e0 = e2
| e0 = e3
| e0 = op(e3,e3)
| e0 = op(e0,e3)
| ~ spl4_96
| ~ spl4_121 ),
inference(forward_demodulation,[],[f4036,f805]) ).
fof(f4036,plain,
( e0 = e3
| e0 = op(e3,e3)
| e0 = op(e1,e3)
| e0 = op(e0,e3)
| ~ spl4_121 ),
inference(forward_demodulation,[],[f211,f1578]) ).
fof(f5120,plain,
( spl4_117
| spl4_6
| spl4_5
| ~ spl4_67
| ~ spl4_85
| ~ spl4_114 ),
inference(avatar_split_clause,[],[f5098,f1035,f713,f632,f327,f332,f1073]) ).
fof(f5098,plain,
( e1 = e3
| e2 = e3
| e3 = op(e1,e3)
| ~ spl4_67
| ~ spl4_85
| ~ spl4_114 ),
inference(duplicate_literal_removal,[],[f5097]) ).
fof(f5097,plain,
( e1 = e3
| e2 = e3
| e1 = e3
| e3 = op(e1,e3)
| ~ spl4_67
| ~ spl4_85
| ~ spl4_114 ),
inference(forward_demodulation,[],[f5096,f633]) ).
fof(f5096,plain,
( e2 = e3
| e1 = e3
| e3 = op(e1,e3)
| e3 = op(e0,e3)
| ~ spl4_85
| ~ spl4_114 ),
inference(forward_demodulation,[],[f4553,f1037]) ).
fof(f5089,plain,
( spl4_112
| spl4_96
| spl4_2
| spl4_4
| ~ spl4_69
| ~ spl4_70 ),
inference(avatar_split_clause,[],[f2775,f645,f641,f322,f312,f804,f993]) ).
fof(f2775,plain,
( e1 = e2
| e0 = e2
| e2 = op(e1,e3)
| e2 = op(e1,e2)
| ~ spl4_69
| ~ spl4_70 ),
inference(forward_demodulation,[],[f2774,f642]) ).
fof(f2774,plain,
( e0 = e2
| e2 = op(e1,e3)
| e2 = op(e1,e2)
| e2 = op(e1,e0)
| ~ spl4_70 ),
inference(forward_demodulation,[],[f198,f647]) ).
fof(f5077,plain,
( spl4_71
| spl4_83
| spl4_5
| spl4_1
| ~ spl4_87
| ~ spl4_101 ),
inference(avatar_split_clause,[],[f2283,f826,f722,f307,f327,f704,f650]) ).
fof(f2283,plain,
( e0 = e1
| e1 = e3
| e1 = op(e3,e2)
| e1 = op(e1,e2)
| ~ spl4_87
| ~ spl4_101 ),
inference(forward_demodulation,[],[f2282,f724]) ).
fof(f2282,plain,
( e1 = e3
| e1 = op(e3,e2)
| e1 = op(e1,e2)
| e1 = op(e0,e2)
| ~ spl4_101 ),
inference(forward_demodulation,[],[f205,f827]) ).
fof(f5069,plain,
( spl4_84
| spl4_2
| spl4_6
| ~ spl4_68
| ~ spl4_70
| ~ spl4_76 ),
inference(avatar_split_clause,[],[f5059,f672,f645,f636,f332,f312,f708]) ).
fof(f5059,plain,
( e2 = e3
| e0 = e2
| e2 = op(e3,e1)
| ~ spl4_68
| ~ spl4_70
| ~ spl4_76 ),
inference(forward_demodulation,[],[f5058,f638]) ).
fof(f5058,plain,
( e0 = e2
| e2 = op(e3,e1)
| e2 = op(e0,e1)
| ~ spl4_70
| ~ spl4_76 ),
inference(duplicate_literal_removal,[],[f5057]) ).
fof(f5057,plain,
( e0 = e2
| e0 = e2
| e2 = op(e3,e1)
| e2 = op(e0,e1)
| ~ spl4_70
| ~ spl4_76 ),
inference(forward_demodulation,[],[f3198,f674]) ).
fof(f3198,plain,
( e0 = e2
| e2 = op(e3,e1)
| e2 = op(e2,e1)
| e2 = op(e0,e1)
| ~ spl4_70 ),
inference(forward_demodulation,[],[f199,f647]) ).
fof(f5043,plain,
( spl4_116
| spl4_3
| spl4_5
| spl4_6
| ~ spl4_75
| ~ spl4_91
| ~ spl4_93 ),
inference(avatar_split_clause,[],[f5040,f758,f742,f668,f332,f327,f317,f1069]) ).
fof(f5040,plain,
( e2 = e3
| e1 = e3
| e0 = e3
| e3 = op(e1,e0)
| ~ spl4_75
| ~ spl4_91
| ~ spl4_93 ),
inference(forward_demodulation,[],[f4998,f760]) ).
fof(f4998,plain,
( e1 = e3
| e0 = e3
| e3 = op(e1,e0)
| op(e0,e0) = e3
| ~ spl4_75
| ~ spl4_91 ),
inference(forward_demodulation,[],[f966,f669]) ).
fof(f966,plain,
( e0 = e3
| e3 = op(e2,e0)
| e3 = op(e1,e0)
| op(e0,e0) = e3
| ~ spl4_91 ),
inference(forward_demodulation,[],[f193,f744]) ).
fof(f5039,plain,
( spl4_5
| spl4_3
| spl4_6
| ~ spl4_75
| ~ spl4_89
| ~ spl4_91
| ~ spl4_93 ),
inference(avatar_split_clause,[],[f4996,f758,f742,f734,f668,f332,f317,f327]) ).
fof(f4996,plain,
( e2 = e3
| e0 = e3
| e1 = e3
| ~ spl4_75
| ~ spl4_89
| ~ spl4_91
| ~ spl4_93 ),
inference(forward_demodulation,[],[f4995,f760]) ).
fof(f4995,plain,
( e0 = e3
| e1 = e3
| op(e0,e0) = e3
| ~ spl4_75
| ~ spl4_89
| ~ spl4_91 ),
inference(duplicate_literal_removal,[],[f4994]) ).
fof(f4994,plain,
( e0 = e3
| e1 = e3
| e0 = e3
| op(e0,e0) = e3
| ~ spl4_75
| ~ spl4_89
| ~ spl4_91 ),
inference(forward_demodulation,[],[f4993,f736]) ).
fof(f4993,plain,
( e1 = e3
| e0 = e3
| e3 = op(e1,e0)
| op(e0,e0) = e3
| ~ spl4_75
| ~ spl4_91 ),
inference(forward_demodulation,[],[f4631,f669]) ).
fof(f4631,plain,
( e0 = e3
| e3 = op(e2,e0)
| e3 = op(e1,e0)
| op(e0,e0) = e3
| ~ spl4_91 ),
inference(forward_demodulation,[],[f193,f744]) ).
fof(f5029,plain,
( ~ spl4_76
| ~ spl4_68
| ~ spl4_72 ),
inference(avatar_split_clause,[],[f1948,f654,f636,f672]) ).
fof(f1948,plain,
( e0 != op(e2,e1)
| ~ spl4_68
| ~ spl4_72 ),
inference(trivial_inequality_removal,[],[f1259]) ).
fof(f1259,plain,
( e3 != e3
| e0 != op(e2,e1)
| ~ spl4_68
| ~ spl4_72 ),
inference(forward_demodulation,[],[f1201,f638]) ).
fof(f1201,plain,
( e0 != op(e2,e1)
| e3 != op(e0,e1)
| ~ spl4_72 ),
inference(trivial_inequality_removal,[],[f1200]) ).
fof(f1200,plain,
( e2 != e2
| e0 != op(e2,e1)
| e3 != op(e0,e1)
| ~ spl4_72 ),
inference(forward_demodulation,[],[f279,f656]) ).
fof(f279,plain,
( e2 != op(e1,e1)
| e0 != op(e2,e1)
| e3 != op(e0,e1) ),
inference(inner_rewriting,[],[f278]) ).
fof(f278,plain,
( e2 != op(e1,e1)
| e0 != op(e2,e1)
| e3 != op(op(e2,e1),e1) ),
inference(inner_rewriting,[],[f244]) ).
fof(f244,plain,
( e2 != op(e1,e1)
| e0 != op(op(e1,e1),e1)
| e3 != op(op(op(e1,e1),e1),e1) ),
inference(cnf_transformation,[],[f40]) ).
fof(f40,plain,
( e2 != op(e1,e1)
| e0 != op(op(e1,e1),e1)
| e3 != op(op(op(e1,e1),e1),e1) ),
inference(ennf_transformation,[],[f16]) ).
fof(f16,axiom,
~ ( e2 = op(e1,e1)
& e0 = op(op(e1,e1),e1)
& e3 = op(op(op(e1,e1),e1),e1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax16) ).
fof(f4977,plain,
( spl4_116
| spl4_120
| spl4_6
| ~ spl4_93
| ~ spl4_106 ),
inference(avatar_split_clause,[],[f4909,f860,f758,f332,f1572,f1069]) ).
fof(f4909,plain,
( e2 = e3
| e3 = op(e2,e0)
| e3 = op(e1,e0)
| ~ spl4_93
| ~ spl4_106 ),
inference(duplicate_literal_removal,[],[f4908]) ).
fof(f4908,plain,
( e2 = e3
| e2 = e3
| e3 = op(e2,e0)
| e3 = op(e1,e0)
| ~ spl4_93
| ~ spl4_106 ),
inference(forward_demodulation,[],[f3361,f760]) ).
fof(f4905,plain,
( spl4_79
| spl4_1
| spl4_4
| spl4_5
| ~ spl4_78
| ~ spl4_103
| ~ spl4_120 ),
inference(avatar_split_clause,[],[f4856,f1572,f835,f681,f327,f322,f307,f686]) ).
fof(f4856,plain,
( e1 = e3
| e1 = e2
| e0 = e1
| e1 = op(e2,e3)
| ~ spl4_78
| ~ spl4_103
| ~ spl4_120 ),
inference(forward_demodulation,[],[f3334,f1574]) ).
fof(f3334,plain,
( e1 = e2
| e0 = e1
| e1 = op(e2,e3)
| e1 = op(e2,e0)
| ~ spl4_78
| ~ spl4_103 ),
inference(forward_demodulation,[],[f1479,f683]) ).
fof(f1479,plain,
( e0 = e1
| e1 = op(e2,e3)
| e1 = op(e2,e1)
| e1 = op(e2,e0)
| ~ spl4_103 ),
inference(forward_demodulation,[],[f204,f836]) ).
fof(f4848,plain,
( spl4_5
| ~ spl4_75
| ~ spl4_120 ),
inference(avatar_split_clause,[],[f4745,f1572,f668,f327]) ).
fof(f4745,plain,
( e1 = e3
| ~ spl4_75
| ~ spl4_120 ),
inference(superposition,[],[f669,f1574]) ).
fof(f4821,plain,
( spl4_81
| spl4_1
| spl4_5
| spl4_4
| ~ spl4_90
| ~ spl4_93
| ~ spl4_116 ),
inference(avatar_split_clause,[],[f3639,f1069,f758,f738,f322,f327,f307,f695]) ).
fof(f3639,plain,
( e1 = e2
| e1 = e3
| e0 = e1
| e1 = op(e3,e0)
| ~ spl4_90
| ~ spl4_93
| ~ spl4_116 ),
inference(forward_demodulation,[],[f2189,f760]) ).
fof(f2189,plain,
( e1 = e3
| e0 = e1
| e1 = op(e3,e0)
| op(e0,e0) = e1
| ~ spl4_90
| ~ spl4_116 ),
inference(forward_demodulation,[],[f939,f1071]) ).
fof(f939,plain,
( e0 = e1
| e1 = op(e3,e0)
| e1 = op(e1,e0)
| op(e0,e0) = e1
| ~ spl4_90 ),
inference(forward_demodulation,[],[f189,f740]) ).
fof(f4819,plain,
( ~ spl4_75
| ~ spl4_93
| ~ spl4_116 ),
inference(avatar_split_clause,[],[f4655,f1069,f758,f668]) ).
fof(f4655,plain,
( e1 != op(e2,e0)
| ~ spl4_93
| ~ spl4_116 ),
inference(trivial_inequality_removal,[],[f4574]) ).
fof(f4574,plain,
( e2 != e2
| e1 != op(e2,e0)
| ~ spl4_93
| ~ spl4_116 ),
inference(forward_demodulation,[],[f4537,f760]) ).
fof(f4537,plain,
( op(e0,e0) != e2
| e1 != op(e2,e0)
| ~ spl4_116 ),
inference(trivial_inequality_removal,[],[f1257]) ).
fof(f1257,plain,
( e3 != e3
| op(e0,e0) != e2
| e1 != op(e2,e0)
| ~ spl4_116 ),
inference(forward_demodulation,[],[f297,f1071]) ).
fof(f297,plain,
( op(e0,e0) != e2
| e1 != op(e2,e0)
| e3 != op(e1,e0) ),
inference(inner_rewriting,[],[f296]) ).
fof(f296,plain,
( op(e0,e0) != e2
| e1 != op(e2,e0)
| e3 != op(op(e2,e0),e0) ),
inference(inner_rewriting,[],[f253]) ).
fof(f253,plain,
( op(e0,e0) != e2
| e1 != op(op(e0,e0),e0)
| e3 != op(op(op(e0,e0),e0),e0) ),
inference(cnf_transformation,[],[f49]) ).
fof(f49,plain,
( op(e0,e0) != e2
| e1 != op(op(e0,e0),e0)
| e3 != op(op(op(e0,e0),e0),e0) ),
inference(ennf_transformation,[],[f10]) ).
fof(f10,axiom,
~ ( op(e0,e0) = e2
& e1 = op(op(e0,e0),e0)
& e3 = op(op(op(e0,e0),e0),e0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax10) ).
fof(f4753,plain,
( spl4_69
| spl4_73
| spl4_4
| spl4_1
| ~ spl4_72
| ~ spl4_108 ),
inference(avatar_split_clause,[],[f4473,f902,f654,f307,f322,f659,f641]) ).
fof(f4473,plain,
( e0 = e1
| e1 = e2
| e1 = op(e1,e3)
| e1 = op(e1,e0)
| ~ spl4_72
| ~ spl4_108 ),
inference(forward_demodulation,[],[f3647,f904]) ).
fof(f3647,plain,
( e1 = e2
| e1 = op(e1,e3)
| e1 = op(e1,e2)
| e1 = op(e1,e0)
| ~ spl4_72 ),
inference(forward_demodulation,[],[f196,f656]) ).
fof(f4729,plain,
( spl4_69
| spl4_75
| spl4_1
| spl4_4
| ~ spl4_91
| ~ spl4_93 ),
inference(avatar_split_clause,[],[f963,f758,f742,f322,f307,f668,f641]) ).
fof(f963,plain,
( e1 = e2
| e0 = e1
| e1 = op(e2,e0)
| e1 = op(e1,e0)
| ~ spl4_91
| ~ spl4_93 ),
inference(forward_demodulation,[],[f888,f760]) ).
fof(f888,plain,
( e0 = e1
| e1 = op(e2,e0)
| e1 = op(e1,e0)
| op(e0,e0) = e1
| ~ spl4_91 ),
inference(forward_demodulation,[],[f189,f744]) ).
fof(f4717,plain,
( spl4_96
| spl4_4
| spl4_2
| ~ spl4_85
| ~ spl4_88
| ~ spl4_98 ),
inference(avatar_split_clause,[],[f4701,f813,f726,f713,f312,f322,f804]) ).
fof(f4701,plain,
( e0 = e2
| e1 = e2
| e2 = op(e1,e3)
| ~ spl4_85
| ~ spl4_88
| ~ spl4_98 ),
inference(duplicate_literal_removal,[],[f4700]) ).
fof(f4700,plain,
( e0 = e2
| e0 = e2
| e1 = e2
| e2 = op(e1,e3)
| ~ spl4_85
| ~ spl4_88
| ~ spl4_98 ),
inference(forward_demodulation,[],[f4266,f728]) ).
fof(f4266,plain,
( e0 = e2
| e1 = e2
| e2 = op(e1,e3)
| e2 = op(e0,e3)
| ~ spl4_85
| ~ spl4_98 ),
inference(forward_demodulation,[],[f3679,f814]) ).
fof(f3679,plain,
( e1 = e2
| e2 = op(e2,e3)
| e2 = op(e1,e3)
| e2 = op(e0,e3)
| ~ spl4_85 ),
inference(forward_demodulation,[],[f215,f714]) ).
fof(f4690,plain,
( spl4_75
| spl4_1
| spl4_5
| spl4_4
| ~ spl4_91
| ~ spl4_93
| ~ spl4_116 ),
inference(avatar_split_clause,[],[f4663,f1069,f758,f742,f322,f327,f307,f668]) ).
fof(f4663,plain,
( e1 = e2
| e1 = e3
| e0 = e1
| e1 = op(e2,e0)
| ~ spl4_91
| ~ spl4_93
| ~ spl4_116 ),
inference(forward_demodulation,[],[f2023,f760]) ).
fof(f2023,plain,
( e1 = e3
| e0 = e1
| e1 = op(e2,e0)
| op(e0,e0) = e1
| ~ spl4_91
| ~ spl4_116 ),
inference(forward_demodulation,[],[f1950,f1071]) ).
fof(f1950,plain,
( e0 = e1
| e1 = op(e2,e0)
| e1 = op(e1,e0)
| op(e0,e0) = e1
| ~ spl4_91 ),
inference(forward_demodulation,[],[f189,f744]) ).
fof(f4679,plain,
( spl4_3
| spl4_5
| spl4_6
| ~ spl4_85
| ~ spl4_88
| ~ spl4_96
| ~ spl4_114 ),
inference(avatar_split_clause,[],[f4665,f1035,f804,f726,f713,f332,f327,f317]) ).
fof(f4665,plain,
( e2 = e3
| e1 = e3
| e0 = e3
| ~ spl4_85
| ~ spl4_88
| ~ spl4_96
| ~ spl4_114 ),
inference(duplicate_literal_removal,[],[f4664]) ).
fof(f4664,plain,
( e2 = e3
| e2 = e3
| e1 = e3
| e0 = e3
| ~ spl4_85
| ~ spl4_88
| ~ spl4_96
| ~ spl4_114 ),
inference(forward_demodulation,[],[f3582,f1037]) ).
fof(f3582,plain,
( e2 = e3
| e1 = e3
| e0 = e3
| e3 = op(e2,e3)
| ~ spl4_85
| ~ spl4_88
| ~ spl4_96 ),
inference(forward_demodulation,[],[f3544,f805]) ).
fof(f3544,plain,
( e1 = e3
| e0 = e3
| e3 = op(e2,e3)
| e3 = op(e1,e3)
| ~ spl4_85
| ~ spl4_88 ),
inference(forward_demodulation,[],[f3064,f714]) ).
fof(f4677,plain,
( ~ spl4_64
| spl4_43
| ~ spl4_88 ),
inference(avatar_split_clause,[],[f3055,f726,f514,f618]) ).
fof(f3055,plain,
( e0 != op(e0,e1)
| spl4_43
| ~ spl4_88 ),
inference(superposition,[],[f516,f728]) ).
fof(f4648,plain,
( spl4_104
| spl4_96
| spl4_2
| ~ spl4_70
| ~ spl4_108 ),
inference(avatar_split_clause,[],[f4636,f902,f645,f312,f804,f852]) ).
fof(f4636,plain,
( e0 = e2
| e2 = op(e1,e3)
| e2 = op(e1,e0)
| ~ spl4_70
| ~ spl4_108 ),
inference(duplicate_literal_removal,[],[f4635]) ).
fof(f4635,plain,
( e0 = e2
| e0 = e2
| e2 = op(e1,e3)
| e2 = op(e1,e0)
| ~ spl4_70
| ~ spl4_108 ),
inference(forward_demodulation,[],[f2774,f904]) ).
fof(f4614,plain,
( spl4_69
| spl4_4
| spl4_1
| ~ spl4_90
| ~ spl4_91
| ~ spl4_93 ),
inference(avatar_split_clause,[],[f4283,f758,f742,f738,f307,f322,f641]) ).
fof(f4283,plain,
( e0 = e1
| e1 = e2
| e1 = op(e1,e0)
| ~ spl4_90
| ~ spl4_91
| ~ spl4_93 ),
inference(duplicate_literal_removal,[],[f3830]) ).
fof(f3830,plain,
( e0 = e1
| e1 = e2
| e0 = e1
| e1 = op(e1,e0)
| ~ spl4_90
| ~ spl4_91
| ~ spl4_93 ),
inference(forward_demodulation,[],[f3486,f744]) ).
fof(f4613,plain,
( ~ spl4_89
| spl4_18
| ~ spl4_90 ),
inference(avatar_split_clause,[],[f2949,f738,f389,f734]) ).
fof(f2949,plain,
( e0 != op(e1,e0)
| spl4_18
| ~ spl4_90 ),
inference(superposition,[],[f391,f740]) ).
fof(f4580,plain,
( spl4_5
| spl4_4
| spl4_1
| ~ spl4_90
| ~ spl4_91
| ~ spl4_93
| ~ spl4_116 ),
inference(avatar_split_clause,[],[f4558,f1069,f758,f742,f738,f307,f322,f327]) ).
fof(f4558,plain,
( e0 = e1
| e1 = e2
| e1 = e3
| ~ spl4_90
| ~ spl4_91
| ~ spl4_93
| ~ spl4_116 ),
inference(duplicate_literal_removal,[],[f4557]) ).
fof(f4557,plain,
( e0 = e1
| e1 = e2
| e1 = e3
| e0 = e1
| ~ spl4_90
| ~ spl4_91
| ~ spl4_93
| ~ spl4_116 ),
inference(forward_demodulation,[],[f3639,f744]) ).
fof(f4536,plain,
( spl4_6
| spl4_4
| spl4_2
| ~ spl4_79
| ~ spl4_85
| ~ spl4_88
| ~ spl4_117 ),
inference(avatar_split_clause,[],[f4469,f1073,f726,f713,f686,f312,f322,f332]) ).
fof(f4469,plain,
( e0 = e2
| e1 = e2
| e2 = e3
| ~ spl4_79
| ~ spl4_85
| ~ spl4_88
| ~ spl4_117 ),
inference(forward_demodulation,[],[f4468,f728]) ).
fof(f4468,plain,
( e1 = e2
| e2 = e3
| e2 = op(e0,e3)
| ~ spl4_79
| ~ spl4_85
| ~ spl4_117 ),
inference(duplicate_literal_removal,[],[f4467]) ).
fof(f4467,plain,
( e1 = e2
| e2 = e3
| e1 = e2
| e2 = op(e0,e3)
| ~ spl4_79
| ~ spl4_85
| ~ spl4_117 ),
inference(forward_demodulation,[],[f4290,f687]) ).
fof(f4290,plain,
( e2 = e3
| e1 = e2
| e2 = op(e2,e3)
| e2 = op(e0,e3)
| ~ spl4_85
| ~ spl4_117 ),
inference(forward_demodulation,[],[f3679,f1075]) ).
fof(f4515,plain,
( spl4_3
| ~ spl4_91
| ~ spl4_122 ),
inference(avatar_split_clause,[],[f4506,f3961,f742,f317]) ).
fof(f4506,plain,
( e0 = e3
| ~ spl4_91
| ~ spl4_122 ),
inference(superposition,[],[f744,f3963]) ).
fof(f4423,plain,
( spl4_97
| spl4_1
| spl4_3
| ~ spl4_79
| ~ spl4_111
| ~ spl4_117 ),
inference(avatar_split_clause,[],[f4382,f1073,f926,f686,f317,f307,f808]) ).
fof(f4382,plain,
( e0 = e3
| e0 = e1
| e0 = op(e3,e3)
| ~ spl4_79
| ~ spl4_111
| ~ spl4_117 ),
inference(duplicate_literal_removal,[],[f4381]) ).
fof(f4381,plain,
( e0 = e3
| e0 = e3
| e0 = e1
| e0 = op(e3,e3)
| ~ spl4_79
| ~ spl4_111
| ~ spl4_117 ),
inference(forward_demodulation,[],[f4380,f928]) ).
fof(f4380,plain,
( e0 = e3
| e0 = e1
| e0 = op(e3,e3)
| e0 = op(e0,e3)
| ~ spl4_79
| ~ spl4_117 ),
inference(forward_demodulation,[],[f3048,f1075]) ).
fof(f3048,plain,
( e0 = e1
| e0 = op(e3,e3)
| e0 = op(e1,e3)
| e0 = op(e0,e3)
| ~ spl4_79 ),
inference(forward_demodulation,[],[f211,f687]) ).
fof(f4356,plain,
( spl4_4
| ~ spl4_63
| ~ spl4_93 ),
inference(avatar_split_clause,[],[f1375,f758,f614,f322]) ).
fof(f1375,plain,
( e1 = e2
| ~ spl4_63
| ~ spl4_93 ),
inference(superposition,[],[f615,f760]) ).
fof(f4279,plain,
( spl4_77
| spl4_1
| spl4_5
| ~ spl4_80
| ~ spl4_90
| ~ spl4_98 ),
inference(avatar_split_clause,[],[f4252,f813,f738,f690,f327,f307,f677]) ).
fof(f4252,plain,
( e1 = e3
| e0 = e1
| e1 = op(e2,e2)
| ~ spl4_80
| ~ spl4_90
| ~ spl4_98 ),
inference(forward_demodulation,[],[f4224,f692]) ).
fof(f4224,plain,
( e0 = e1
| e1 = op(e2,e2)
| e1 = op(e2,e1)
| ~ spl4_90
| ~ spl4_98 ),
inference(duplicate_literal_removal,[],[f3201]) ).
fof(f3201,plain,
( e0 = e1
| e0 = e1
| e1 = op(e2,e2)
| e1 = op(e2,e1)
| ~ spl4_90
| ~ spl4_98 ),
inference(forward_demodulation,[],[f3066,f814]) ).
fof(f4255,plain,
( spl4_103
| ~ spl4_98
| ~ spl4_106
| ~ spl4_122 ),
inference(avatar_split_clause,[],[f4254,f3961,f860,f813,f835]) ).
fof(f4254,plain,
( e0 = op(e2,e2)
| ~ spl4_98
| ~ spl4_106
| ~ spl4_122 ),
inference(forward_demodulation,[],[f814,f4207]) ).
fof(f4223,plain,
( spl4_97
| spl4_2
| spl4_3
| ~ spl4_111
| ~ spl4_114
| ~ spl4_117 ),
inference(avatar_split_clause,[],[f4174,f1073,f1035,f926,f317,f312,f808]) ).
fof(f4174,plain,
( e0 = e3
| e0 = e2
| e0 = op(e3,e3)
| ~ spl4_111
| ~ spl4_114
| ~ spl4_117 ),
inference(duplicate_literal_removal,[],[f4173]) ).
fof(f4173,plain,
( e0 = e3
| e0 = e2
| e0 = e3
| e0 = op(e3,e3)
| ~ spl4_111
| ~ spl4_114
| ~ spl4_117 ),
inference(forward_demodulation,[],[f4172,f928]) ).
fof(f4172,plain,
( e0 = e2
| e0 = e3
| e0 = op(e3,e3)
| e0 = op(e0,e3)
| ~ spl4_114
| ~ spl4_117 ),
inference(forward_demodulation,[],[f3788,f1037]) ).
fof(f4155,plain,
( ~ spl4_113
| spl4_83
| ~ spl4_84
| ~ spl4_113 ),
inference(avatar_split_clause,[],[f4154,f1022,f708,f704,f1022]) ).
fof(f4154,plain,
( e1 != op(e3,e1)
| spl4_83
| ~ spl4_84
| ~ spl4_113 ),
inference(forward_demodulation,[],[f706,f4112]) ).
fof(f706,plain,
( e1 != op(e3,e2)
| spl4_83 ),
inference(avatar_component_clause,[],[f704]) ).
fof(f4133,plain,
( spl4_101
| spl4_5
| spl4_3
| spl4_6
| ~ spl4_83
| ~ spl4_94
| ~ spl4_108 ),
inference(avatar_split_clause,[],[f4091,f902,f762,f704,f332,f317,f327,f826]) ).
fof(f4091,plain,
( e2 = e3
| e0 = e3
| e1 = e3
| e3 = op(e2,e2)
| ~ spl4_83
| ~ spl4_94
| ~ spl4_108 ),
inference(forward_demodulation,[],[f4006,f764]) ).
fof(f4006,plain,
( e0 = e3
| e1 = e3
| e3 = op(e2,e2)
| e3 = op(e0,e2)
| ~ spl4_83
| ~ spl4_108 ),
inference(forward_demodulation,[],[f4005,f904]) ).
fof(f4121,plain,
( spl4_97
| spl4_2
| spl4_1
| spl4_3
| ~ spl4_83
| ~ spl4_84
| ~ spl4_122 ),
inference(avatar_split_clause,[],[f4046,f3961,f708,f704,f317,f307,f312,f808]) ).
fof(f4046,plain,
( e0 = e3
| e0 = e1
| e0 = e2
| e0 = op(e3,e3)
| ~ spl4_83
| ~ spl4_84
| ~ spl4_122 ),
inference(forward_demodulation,[],[f4045,f3963]) ).
fof(f4045,plain,
( e0 = e1
| e0 = e2
| e0 = op(e3,e3)
| e0 = op(e3,e0)
| ~ spl4_83
| ~ spl4_84 ),
inference(forward_demodulation,[],[f2856,f705]) ).
fof(f2856,plain,
( e0 = e2
| e0 = op(e3,e3)
| e0 = op(e3,e2)
| e0 = op(e3,e0)
| ~ spl4_84 ),
inference(forward_demodulation,[],[f210,f710]) ).
fof(f4109,plain,
( spl4_113
| spl4_5
| spl4_1
| ~ spl4_64
| ~ spl4_74
| ~ spl4_80 ),
inference(avatar_split_clause,[],[f4096,f690,f663,f618,f307,f327,f1022]) ).
fof(f4096,plain,
( e0 = e1
| e1 = e3
| e1 = op(e3,e1)
| ~ spl4_64
| ~ spl4_74
| ~ spl4_80 ),
inference(forward_demodulation,[],[f4095,f620]) ).
fof(f4095,plain,
( e1 = e3
| e1 = op(e3,e1)
| e1 = op(e0,e1)
| ~ spl4_74
| ~ spl4_80 ),
inference(duplicate_literal_removal,[],[f4094]) ).
fof(f4094,plain,
( e1 = e3
| e1 = e3
| e1 = op(e3,e1)
| e1 = op(e0,e1)
| ~ spl4_74
| ~ spl4_80 ),
inference(forward_demodulation,[],[f3045,f665]) ).
fof(f4090,plain,
( ~ spl4_83
| ~ spl4_101
| ~ spl4_108 ),
inference(avatar_split_clause,[],[f4062,f902,f826,f704]) ).
fof(f4062,plain,
( e3 != op(e2,e2)
| e1 != op(e3,e2)
| ~ spl4_108 ),
inference(trivial_inequality_removal,[],[f4061]) ).
fof(f4061,plain,
( e0 != e0
| e3 != op(e2,e2)
| e1 != op(e3,e2)
| ~ spl4_108 ),
inference(forward_demodulation,[],[f283,f904]) ).
fof(f283,plain,
( e3 != op(e2,e2)
| e1 != op(e3,e2)
| e0 != op(e1,e2) ),
inference(inner_rewriting,[],[f282]) ).
fof(f282,plain,
( e3 != op(e2,e2)
| e1 != op(e3,e2)
| e0 != op(op(e3,e2),e2) ),
inference(inner_rewriting,[],[f246]) ).
fof(f246,plain,
( e3 != op(e2,e2)
| e1 != op(op(e2,e2),e2)
| e0 != op(op(op(e2,e2),e2),e2) ),
inference(cnf_transformation,[],[f42]) ).
fof(f42,plain,
( e3 != op(e2,e2)
| e1 != op(op(e2,e2),e2)
| e0 != op(op(op(e2,e2),e2),e2) ),
inference(ennf_transformation,[],[f18]) ).
fof(f18,axiom,
~ ( e3 = op(e2,e2)
& e1 = op(op(e2,e2),e2)
& e0 = op(op(op(e2,e2),e2),e2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax18) ).
fof(f4057,plain,
( spl4_97
| spl4_1
| spl4_3
| ~ spl4_73
| ~ spl4_111
| ~ spl4_121 ),
inference(avatar_split_clause,[],[f4039,f1576,f926,f659,f317,f307,f808]) ).
fof(f4039,plain,
( e0 = e3
| e0 = e1
| e0 = op(e3,e3)
| ~ spl4_73
| ~ spl4_111
| ~ spl4_121 ),
inference(duplicate_literal_removal,[],[f4038]) ).
fof(f4038,plain,
( e0 = e3
| e0 = e1
| e0 = e3
| e0 = op(e3,e3)
| ~ spl4_73
| ~ spl4_111
| ~ spl4_121 ),
inference(forward_demodulation,[],[f4037,f928]) ).
fof(f4037,plain,
( e0 = e1
| e0 = e3
| e0 = op(e3,e3)
| e0 = op(e0,e3)
| ~ spl4_73
| ~ spl4_121 ),
inference(forward_demodulation,[],[f4036,f660]) ).
fof(f4047,plain,
( spl4_99
| spl4_4
| spl4_6
| ~ spl4_73
| ~ spl4_111
| ~ spl4_121 ),
inference(avatar_split_clause,[],[f4035,f1576,f926,f659,f332,f322,f817]) ).
fof(f4035,plain,
( e2 = e3
| e1 = e2
| e2 = op(e3,e3)
| ~ spl4_73
| ~ spl4_111
| ~ spl4_121 ),
inference(duplicate_literal_removal,[],[f4034]) ).
fof(f4034,plain,
( e2 = e3
| e1 = e2
| e2 = e3
| e2 = op(e3,e3)
| ~ spl4_73
| ~ spl4_111
| ~ spl4_121 ),
inference(forward_demodulation,[],[f4033,f928]) ).
fof(f4033,plain,
( e1 = e2
| e2 = e3
| e2 = op(e3,e3)
| e2 = op(e0,e3)
| ~ spl4_73
| ~ spl4_121 ),
inference(forward_demodulation,[],[f4032,f660]) ).
fof(f4032,plain,
( e2 = e3
| e2 = op(e3,e3)
| e2 = op(e1,e3)
| e2 = op(e0,e3)
| ~ spl4_121 ),
inference(forward_demodulation,[],[f215,f1578]) ).
fof(f4031,plain,
( spl4_95
| spl4_6
| spl4_2
| spl4_4
| ~ spl4_73
| ~ spl4_97
| ~ spl4_121 ),
inference(avatar_split_clause,[],[f4002,f1576,f808,f659,f322,f312,f332,f766]) ).
fof(f4002,plain,
( e1 = e2
| e0 = e2
| e2 = e3
| e2 = op(e0,e3)
| ~ spl4_73
| ~ spl4_97
| ~ spl4_121 ),
inference(forward_demodulation,[],[f4001,f660]) ).
fof(f4001,plain,
( e0 = e2
| e2 = e3
| e2 = op(e1,e3)
| e2 = op(e0,e3)
| ~ spl4_97
| ~ spl4_121 ),
inference(forward_demodulation,[],[f1669,f809]) ).
fof(f4000,plain,
( spl4_13
| spl4_4
| spl4_2
| spl4_6
| ~ spl4_83
| ~ spl4_108
| ~ spl4_110 ),
inference(avatar_split_clause,[],[f3985,f922,f902,f704,f332,f312,f322,f364]) ).
fof(f3985,plain,
( e2 = e3
| e0 = e2
| e1 = e2
| e2 = op(e2,e2)
| ~ spl4_83
| ~ spl4_108
| ~ spl4_110 ),
inference(forward_demodulation,[],[f3984,f924]) ).
fof(f3984,plain,
( e0 = e2
| e1 = e2
| e2 = op(e2,e2)
| e2 = op(e0,e2)
| ~ spl4_83
| ~ spl4_108 ),
inference(forward_demodulation,[],[f2062,f904]) ).
fof(f2062,plain,
( e1 = e2
| e2 = op(e2,e2)
| e2 = op(e1,e2)
| e2 = op(e0,e2)
| ~ spl4_83 ),
inference(forward_demodulation,[],[f207,f705]) ).
fof(f3982,plain,
( spl4_122
| spl4_3
| spl4_6
| spl4_5
| ~ spl4_63
| ~ spl4_90
| ~ spl4_104 ),
inference(avatar_split_clause,[],[f3981,f852,f738,f614,f327,f332,f317,f3961]) ).
fof(f3981,plain,
( e1 = e3
| e2 = e3
| e0 = e3
| e3 = op(e3,e0)
| ~ spl4_63
| ~ spl4_90
| ~ spl4_104 ),
inference(forward_demodulation,[],[f3980,f615]) ).
fof(f3980,plain,
( e2 = e3
| e0 = e3
| e3 = op(e3,e0)
| op(e0,e0) = e3
| ~ spl4_90
| ~ spl4_104 ),
inference(forward_demodulation,[],[f3685,f854]) ).
fof(f3977,plain,
( spl4_83
| spl4_1
| spl4_4
| spl4_5
| ~ spl4_84
| ~ spl4_97
| ~ spl4_122 ),
inference(avatar_split_clause,[],[f3974,f3961,f808,f708,f327,f322,f307,f704]) ).
fof(f3974,plain,
( e1 = e3
| e1 = e2
| e0 = e1
| e1 = op(e3,e2)
| ~ spl4_84
| ~ spl4_97
| ~ spl4_122 ),
inference(forward_demodulation,[],[f3973,f3963]) ).
fof(f3973,plain,
( e1 = e2
| e0 = e1
| e1 = op(e3,e2)
| e1 = op(e3,e0)
| ~ spl4_84
| ~ spl4_97 ),
inference(forward_demodulation,[],[f3972,f710]) ).
fof(f3972,plain,
( e0 = e1
| e1 = op(e3,e2)
| e1 = op(e3,e1)
| e1 = op(e3,e0)
| ~ spl4_97 ),
inference(forward_demodulation,[],[f212,f809]) ).
fof(f3971,plain,
( spl4_81
| spl4_4
| spl4_1
| ~ spl4_84
| ~ spl4_97
| ~ spl4_119 ),
inference(avatar_split_clause,[],[f3944,f1566,f808,f708,f307,f322,f695]) ).
fof(f3944,plain,
( e0 = e1
| e1 = e2
| e1 = op(e3,e0)
| ~ spl4_84
| ~ spl4_97
| ~ spl4_119 ),
inference(forward_demodulation,[],[f2872,f809]) ).
fof(f2872,plain,
( e1 = e2
| e1 = op(e3,e3)
| e1 = op(e3,e0)
| ~ spl4_84
| ~ spl4_119 ),
inference(duplicate_literal_removal,[],[f2871]) ).
fof(f3964,plain,
( spl4_122
| spl4_3
| spl4_6
| ~ spl4_84
| ~ spl4_97
| ~ spl4_119 ),
inference(avatar_split_clause,[],[f3943,f1566,f808,f708,f332,f317,f3961]) ).
fof(f3943,plain,
( e2 = e3
| e0 = e3
| e3 = op(e3,e0)
| ~ spl4_84
| ~ spl4_97
| ~ spl4_119 ),
inference(duplicate_literal_removal,[],[f3942]) ).
fof(f3942,plain,
( e2 = e3
| e0 = e3
| e2 = e3
| e3 = op(e3,e0)
| ~ spl4_84
| ~ spl4_97
| ~ spl4_119 ),
inference(forward_demodulation,[],[f3423,f1568]) ).
fof(f3423,plain,
( e0 = e3
| e2 = e3
| e3 = op(e3,e2)
| e3 = op(e3,e0)
| ~ spl4_84
| ~ spl4_97 ),
inference(forward_demodulation,[],[f2863,f809]) ).
fof(f2863,plain,
( e2 = e3
| e3 = op(e3,e3)
| e3 = op(e3,e2)
| e3 = op(e3,e0)
| ~ spl4_84 ),
inference(forward_demodulation,[],[f216,f710]) ).
fof(f3937,plain,
( spl4_78
| spl4_84
| spl4_6
| spl4_2
| ~ spl4_64
| ~ spl4_74 ),
inference(avatar_split_clause,[],[f3917,f663,f618,f312,f332,f708,f681]) ).
fof(f3917,plain,
( e0 = e2
| e2 = e3
| e2 = op(e3,e1)
| e2 = op(e2,e1)
| ~ spl4_64
| ~ spl4_74 ),
inference(forward_demodulation,[],[f3916,f620]) ).
fof(f3916,plain,
( e2 = e3
| e2 = op(e3,e1)
| e2 = op(e2,e1)
| e2 = op(e0,e1)
| ~ spl4_74 ),
inference(forward_demodulation,[],[f199,f665]) ).
fof(f3927,plain,
( spl4_109
| spl4_97
| spl4_2
| spl4_3
| ~ spl4_95
| ~ spl4_121 ),
inference(avatar_split_clause,[],[f3766,f1576,f766,f317,f312,f808,f906]) ).
fof(f3766,plain,
( e0 = e3
| e0 = e2
| e0 = op(e3,e3)
| e0 = op(e1,e3)
| ~ spl4_95
| ~ spl4_121 ),
inference(forward_demodulation,[],[f2462,f1578]) ).
fof(f2462,plain,
( e0 = e2
| e0 = op(e3,e3)
| e0 = op(e2,e3)
| e0 = op(e1,e3)
| ~ spl4_95 ),
inference(forward_demodulation,[],[f211,f768]) ).
fof(f3925,plain,
( spl4_65
| spl4_83
| spl4_5
| spl4_1
| ~ spl4_101
| ~ spl4_108 ),
inference(avatar_split_clause,[],[f3746,f902,f826,f307,f327,f704,f623]) ).
fof(f3746,plain,
( e0 = e1
| e1 = e3
| e1 = op(e3,e2)
| e1 = op(e0,e2)
| ~ spl4_101
| ~ spl4_108 ),
inference(forward_demodulation,[],[f2282,f904]) ).
fof(f3915,plain,
( spl4_114
| spl4_6
| spl4_2
| spl4_4
| ~ spl4_90
| ~ spl4_101
| ~ spl4_118 ),
inference(avatar_split_clause,[],[f3748,f1532,f826,f738,f322,f312,f332,f1035]) ).
fof(f3748,plain,
( e1 = e2
| e0 = e2
| e2 = e3
| e2 = op(e2,e3)
| ~ spl4_90
| ~ spl4_101
| ~ spl4_118 ),
inference(forward_demodulation,[],[f2195,f1534]) ).
fof(f2195,plain,
( e0 = e2
| e2 = e3
| e2 = op(e2,e3)
| e2 = op(e2,e1)
| ~ spl4_90
| ~ spl4_101 ),
inference(forward_demodulation,[],[f2194,f740]) ).
fof(f3843,plain,
( spl4_70
| ~ spl4_63
| ~ spl4_93
| ~ spl4_108 ),
inference(avatar_split_clause,[],[f1462,f902,f758,f614,f645]) ).
fof(f1462,plain,
( e0 = op(e1,e1)
| ~ spl4_63
| ~ spl4_93
| ~ spl4_108 ),
inference(forward_demodulation,[],[f904,f1375]) ).
fof(f3824,plain,
( spl4_3
| spl4_6
| spl4_5
| ~ spl4_63
| ~ spl4_90
| ~ spl4_91
| ~ spl4_104 ),
inference(avatar_split_clause,[],[f3819,f852,f742,f738,f614,f327,f332,f317]) ).
fof(f3819,plain,
( e1 = e3
| e2 = e3
| e0 = e3
| ~ spl4_63
| ~ spl4_90
| ~ spl4_91
| ~ spl4_104 ),
inference(forward_demodulation,[],[f3818,f615]) ).
fof(f3818,plain,
( e2 = e3
| e0 = e3
| op(e0,e0) = e3
| ~ spl4_90
| ~ spl4_91
| ~ spl4_104 ),
inference(forward_demodulation,[],[f3817,f854]) ).
fof(f3817,plain,
( e0 = e3
| e3 = op(e1,e0)
| op(e0,e0) = e3
| ~ spl4_90
| ~ spl4_91 ),
inference(duplicate_literal_removal,[],[f3816]) ).
fof(f3816,plain,
( e0 = e3
| e0 = e3
| e3 = op(e1,e0)
| op(e0,e0) = e3
| ~ spl4_90
| ~ spl4_91 ),
inference(forward_demodulation,[],[f966,f740]) ).
fof(f3815,plain,
( spl4_91
| spl4_97
| spl4_2
| spl4_3
| ~ spl4_86
| ~ spl4_119 ),
inference(avatar_split_clause,[],[f3627,f1566,f717,f317,f312,f808,f742]) ).
fof(f3627,plain,
( e0 = e3
| e0 = e2
| e0 = op(e3,e3)
| e0 = op(e3,e0)
| ~ spl4_86
| ~ spl4_119 ),
inference(forward_demodulation,[],[f2001,f719]) ).
fof(f2001,plain,
( e0 = e2
| e0 = op(e3,e3)
| e0 = op(e3,e1)
| e0 = op(e3,e0)
| ~ spl4_119 ),
inference(forward_demodulation,[],[f210,f1568]) ).
fof(f3802,plain,
( spl4_6
| spl4_4
| spl4_2
| ~ spl4_90
| ~ spl4_98
| ~ spl4_101
| ~ spl4_118 ),
inference(avatar_split_clause,[],[f3792,f1532,f826,f813,f738,f312,f322,f332]) ).
fof(f3792,plain,
( e0 = e2
| e1 = e2
| e2 = e3
| ~ spl4_90
| ~ spl4_98
| ~ spl4_101
| ~ spl4_118 ),
inference(duplicate_literal_removal,[],[f3791]) ).
fof(f3791,plain,
( e0 = e2
| e1 = e2
| e0 = e2
| e2 = e3
| ~ spl4_90
| ~ spl4_98
| ~ spl4_101
| ~ spl4_118 ),
inference(forward_demodulation,[],[f3790,f740]) ).
fof(f3790,plain,
( e1 = e2
| e0 = e2
| e2 = e3
| e2 = op(e2,e0)
| ~ spl4_98
| ~ spl4_101
| ~ spl4_118 ),
inference(forward_demodulation,[],[f3192,f1534]) ).
fof(f3192,plain,
( e0 = e2
| e2 = e3
| e2 = op(e2,e1)
| e2 = op(e2,e0)
| ~ spl4_98
| ~ spl4_101 ),
inference(forward_demodulation,[],[f2194,f814]) ).
fof(f3778,plain,
( spl4_97
| spl4_2
| spl4_3
| ~ spl4_95
| ~ spl4_117
| ~ spl4_121 ),
inference(avatar_split_clause,[],[f3768,f1576,f1073,f766,f317,f312,f808]) ).
fof(f3768,plain,
( e0 = e3
| e0 = e2
| e0 = op(e3,e3)
| ~ spl4_95
| ~ spl4_117
| ~ spl4_121 ),
inference(duplicate_literal_removal,[],[f3767]) ).
fof(f3767,plain,
( e0 = e3
| e0 = e3
| e0 = e2
| e0 = op(e3,e3)
| ~ spl4_95
| ~ spl4_117
| ~ spl4_121 ),
inference(forward_demodulation,[],[f3766,f1075]) ).
fof(f3762,plain,
( spl4_83
| spl4_5
| spl4_1
| spl4_4
| ~ spl4_94
| ~ spl4_101
| ~ spl4_108 ),
inference(avatar_split_clause,[],[f3747,f902,f826,f762,f322,f307,f327,f704]) ).
fof(f3747,plain,
( e1 = e2
| e0 = e1
| e1 = e3
| e1 = op(e3,e2)
| ~ spl4_94
| ~ spl4_101
| ~ spl4_108 ),
inference(forward_demodulation,[],[f3746,f764]) ).
fof(f3760,plain,
( ~ spl4_93
| spl4_15
| ~ spl4_104 ),
inference(avatar_split_clause,[],[f1020,f852,f374,f758]) ).
fof(f374,plain,
( spl4_15
<=> op(e0,e0) = op(e1,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_15])]) ).
fof(f1020,plain,
( op(e0,e0) != e2
| spl4_15
| ~ spl4_104 ),
inference(superposition,[],[f376,f854]) ).
fof(f376,plain,
( op(e0,e0) != op(e1,e0)
| spl4_15 ),
inference(avatar_component_clause,[],[f374]) ).
fof(f3743,plain,
( spl4_101
| spl4_3
| spl4_6
| ~ spl4_94
| ~ spl4_108
| ~ spl4_119 ),
inference(avatar_split_clause,[],[f3737,f1566,f902,f762,f332,f317,f826]) ).
fof(f3737,plain,
( e2 = e3
| e0 = e3
| e3 = op(e2,e2)
| ~ spl4_94
| ~ spl4_108
| ~ spl4_119 ),
inference(duplicate_literal_removal,[],[f3736]) ).
fof(f3736,plain,
( e2 = e3
| e0 = e3
| e2 = e3
| e3 = op(e2,e2)
| ~ spl4_94
| ~ spl4_108
| ~ spl4_119 ),
inference(forward_demodulation,[],[f3735,f764]) ).
fof(f3735,plain,
( e0 = e3
| e2 = e3
| e3 = op(e2,e2)
| e3 = op(e0,e2)
| ~ spl4_108
| ~ spl4_119 ),
inference(forward_demodulation,[],[f1831,f904]) ).
fof(f1831,plain,
( e2 = e3
| e3 = op(e2,e2)
| e3 = op(e1,e2)
| e3 = op(e0,e2)
| ~ spl4_119 ),
inference(forward_demodulation,[],[f209,f1568]) ).
fof(f3734,plain,
( spl4_78
| spl4_114
| spl4_2
| ~ spl4_90
| ~ spl4_103 ),
inference(avatar_split_clause,[],[f3351,f835,f738,f312,f1035,f681]) ).
fof(f3351,plain,
( e0 = e2
| e2 = op(e2,e3)
| e2 = op(e2,e1)
| ~ spl4_90
| ~ spl4_103 ),
inference(duplicate_literal_removal,[],[f3350]) ).
fof(f3350,plain,
( e0 = e2
| e0 = e2
| e2 = op(e2,e3)
| e2 = op(e2,e1)
| ~ spl4_90
| ~ spl4_103 ),
inference(forward_demodulation,[],[f3065,f836]) ).
fof(f3674,plain,
( spl4_3
| ~ spl4_82
| ~ spl4_86 ),
inference(avatar_split_clause,[],[f2267,f717,f699,f317]) ).
fof(f2267,plain,
( e0 = e3
| ~ spl4_82
| ~ spl4_86 ),
inference(forward_demodulation,[],[f719,f701]) ).
fof(f3669,plain,
( spl4_82
| spl4_2
| spl4_1
| ~ spl4_72
| ~ spl4_92
| ~ spl4_118 ),
inference(avatar_split_clause,[],[f3659,f1532,f749,f654,f307,f312,f699]) ).
fof(f3659,plain,
( e0 = e1
| e0 = e2
| e0 = op(e3,e1)
| ~ spl4_72
| ~ spl4_92
| ~ spl4_118 ),
inference(duplicate_literal_removal,[],[f3658]) ).
fof(f3658,plain,
( e0 = e1
| e0 = e2
| e0 = e1
| e0 = op(e3,e1)
| ~ spl4_72
| ~ spl4_92
| ~ spl4_118 ),
inference(forward_demodulation,[],[f1953,f751]) ).
fof(f1953,plain,
( e0 = e2
| e0 = e1
| e0 = op(e3,e1)
| e0 = op(e0,e1)
| ~ spl4_72
| ~ spl4_118 ),
inference(forward_demodulation,[],[f1952,f656]) ).
fof(f3656,plain,
( spl4_118
| spl4_79
| spl4_1
| ~ spl4_90
| ~ spl4_103 ),
inference(avatar_split_clause,[],[f3348,f835,f738,f307,f686,f1532]) ).
fof(f3348,plain,
( e0 = e1
| e1 = op(e2,e3)
| e1 = op(e2,e1)
| ~ spl4_90
| ~ spl4_103 ),
inference(duplicate_literal_removal,[],[f3347]) ).
fof(f3347,plain,
( e0 = e1
| e0 = e1
| e1 = op(e2,e3)
| e1 = op(e2,e1)
| ~ spl4_90
| ~ spl4_103 ),
inference(forward_demodulation,[],[f1479,f740]) ).
fof(f3652,plain,
( spl4_97
| spl4_2
| spl4_3
| ~ spl4_86
| ~ spl4_106
| ~ spl4_119 ),
inference(avatar_split_clause,[],[f3625,f1566,f860,f717,f317,f312,f808]) ).
fof(f3625,plain,
( e0 = e3
| e0 = e2
| e0 = op(e3,e3)
| ~ spl4_86
| ~ spl4_106
| ~ spl4_119 ),
inference(forward_demodulation,[],[f2944,f719]) ).
fof(f2944,plain,
( e0 = e2
| e0 = op(e3,e3)
| e0 = op(e3,e1)
| ~ spl4_106
| ~ spl4_119 ),
inference(duplicate_literal_removal,[],[f2943]) ).
fof(f2943,plain,
( e0 = e2
| e0 = e2
| e0 = op(e3,e3)
| e0 = op(e3,e1)
| ~ spl4_106
| ~ spl4_119 ),
inference(forward_demodulation,[],[f2203,f1568]) ).
fof(f2203,plain,
( e0 = e2
| e0 = op(e3,e3)
| e0 = op(e3,e2)
| e0 = op(e3,e1)
| ~ spl4_106 ),
inference(forward_demodulation,[],[f210,f862]) ).
fof(f3644,plain,
( spl4_83
| spl4_1
| spl4_5
| ~ spl4_102
| ~ spl4_103
| ~ spl4_110 ),
inference(avatar_split_clause,[],[f3584,f922,f835,f831,f327,f307,f704]) ).
fof(f3584,plain,
( e1 = e3
| e0 = e1
| e1 = op(e3,e2)
| ~ spl4_102
| ~ spl4_103
| ~ spl4_110 ),
inference(duplicate_literal_removal,[],[f3583]) ).
fof(f3583,plain,
( e1 = e3
| e1 = e3
| e0 = e1
| e1 = op(e3,e2)
| ~ spl4_102
| ~ spl4_103
| ~ spl4_110 ),
inference(forward_demodulation,[],[f3330,f924]) ).
fof(f3636,plain,
( spl4_116
| spl4_3
| spl4_6
| ~ spl4_90
| ~ spl4_93
| ~ spl4_106 ),
inference(avatar_split_clause,[],[f3484,f860,f758,f738,f332,f317,f1069]) ).
fof(f3484,plain,
( e2 = e3
| e0 = e3
| e3 = op(e1,e0)
| ~ spl4_90
| ~ spl4_93
| ~ spl4_106 ),
inference(duplicate_literal_removal,[],[f3483]) ).
fof(f3483,plain,
( e2 = e3
| e0 = e3
| e2 = e3
| e3 = op(e1,e0)
| ~ spl4_90
| ~ spl4_93
| ~ spl4_106 ),
inference(forward_demodulation,[],[f3362,f760]) ).
fof(f3362,plain,
( e0 = e3
| e2 = e3
| e3 = op(e1,e0)
| op(e0,e0) = e3
| ~ spl4_90
| ~ spl4_106 ),
inference(forward_demodulation,[],[f3361,f740]) ).
fof(f3621,plain,
( spl4_119
| spl4_2
| spl4_6
| ~ spl4_102
| ~ spl4_103
| ~ spl4_110 ),
inference(avatar_split_clause,[],[f3402,f922,f835,f831,f332,f312,f1566]) ).
fof(f3402,plain,
( e2 = e3
| e0 = e2
| e2 = op(e3,e2)
| ~ spl4_102
| ~ spl4_103
| ~ spl4_110 ),
inference(duplicate_literal_removal,[],[f3401]) ).
fof(f3401,plain,
( e2 = e3
| e2 = e3
| e0 = e2
| e2 = op(e3,e2)
| ~ spl4_102
| ~ spl4_103
| ~ spl4_110 ),
inference(forward_demodulation,[],[f3352,f924]) ).
fof(f3352,plain,
( e2 = e3
| e0 = e2
| e2 = op(e3,e2)
| e2 = op(e0,e2)
| ~ spl4_102
| ~ spl4_103 ),
inference(forward_demodulation,[],[f1473,f832]) ).
fof(f1473,plain,
( e0 = e2
| e2 = op(e3,e2)
| e2 = op(e1,e2)
| e2 = op(e0,e2)
| ~ spl4_103 ),
inference(forward_demodulation,[],[f207,f836]) ).
fof(f3593,plain,
( spl4_79
| spl4_5
| spl4_1
| ~ spl4_80
| ~ spl4_90
| ~ spl4_103 ),
inference(avatar_split_clause,[],[f3373,f835,f738,f690,f307,f327,f686]) ).
fof(f3373,plain,
( e0 = e1
| e1 = e3
| e1 = op(e2,e3)
| ~ spl4_80
| ~ spl4_90
| ~ spl4_103 ),
inference(duplicate_literal_removal,[],[f3372]) ).
fof(f3372,plain,
( e0 = e1
| e0 = e1
| e1 = e3
| e1 = op(e2,e3)
| ~ spl4_80
| ~ spl4_90
| ~ spl4_103 ),
inference(forward_demodulation,[],[f3371,f740]) ).
fof(f3371,plain,
( e0 = e1
| e1 = e3
| e1 = op(e2,e3)
| e1 = op(e2,e0)
| ~ spl4_80
| ~ spl4_103 ),
inference(forward_demodulation,[],[f1829,f836]) ).
fof(f3580,plain,
( ~ spl4_85
| ~ spl4_96
| ~ spl4_98 ),
inference(avatar_split_clause,[],[f3543,f813,f804,f713]) ).
fof(f3543,plain,
( e1 != op(e3,e3)
| ~ spl4_96
| ~ spl4_98 ),
inference(trivial_inequality_removal,[],[f3542]) ).
fof(f3542,plain,
( e0 != e0
| e1 != op(e3,e3)
| ~ spl4_96
| ~ spl4_98 ),
inference(forward_demodulation,[],[f3541,f814]) ).
fof(f3541,plain,
( e1 != op(e3,e3)
| e0 != op(e2,e3)
| ~ spl4_96 ),
inference(trivial_inequality_removal,[],[f3540]) ).
fof(f3540,plain,
( e2 != e2
| e1 != op(e3,e3)
| e0 != op(e2,e3)
| ~ spl4_96 ),
inference(forward_demodulation,[],[f267,f805]) ).
fof(f267,plain,
( e1 != op(e3,e3)
| e2 != op(e1,e3)
| e0 != op(e2,e3) ),
inference(inner_rewriting,[],[f266]) ).
fof(f266,plain,
( e1 != op(e3,e3)
| e2 != op(e1,e3)
| e0 != op(op(e1,e3),e3) ),
inference(inner_rewriting,[],[f238]) ).
fof(f238,plain,
( e1 != op(e3,e3)
| e2 != op(op(e3,e3),e3)
| e0 != op(op(op(e3,e3),e3),e3) ),
inference(cnf_transformation,[],[f34]) ).
fof(f34,plain,
( e1 != op(e3,e3)
| e2 != op(op(e3,e3),e3)
| e0 != op(op(op(e3,e3),e3),e3) ),
inference(ennf_transformation,[],[f25]) ).
fof(f25,axiom,
~ ( e1 = op(e3,e3)
& e2 = op(op(e3,e3),e3)
& e0 = op(op(op(e3,e3),e3),e3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax25) ).
fof(f3531,plain,
( spl4_1
| ~ spl4_85
| ~ spl4_97 ),
inference(avatar_split_clause,[],[f3519,f808,f713,f307]) ).
fof(f3519,plain,
( e0 = e1
| ~ spl4_85
| ~ spl4_97 ),
inference(forward_demodulation,[],[f714,f809]) ).
fof(f3478,plain,
( spl4_4
| spl4_6
| spl4_2
| ~ spl4_79
| ~ spl4_80
| ~ spl4_90
| ~ spl4_103 ),
inference(avatar_split_clause,[],[f3377,f835,f738,f690,f686,f312,f332,f322]) ).
fof(f3377,plain,
( e0 = e2
| e2 = e3
| e1 = e2
| ~ spl4_79
| ~ spl4_80
| ~ spl4_90
| ~ spl4_103 ),
inference(duplicate_literal_removal,[],[f3376]) ).
fof(f3376,plain,
( e0 = e2
| e0 = e2
| e2 = e3
| e1 = e2
| ~ spl4_79
| ~ spl4_80
| ~ spl4_90
| ~ spl4_103 ),
inference(forward_demodulation,[],[f3038,f836]) ).
fof(f3038,plain,
( e0 = e2
| e2 = e3
| e1 = e2
| e2 = op(e2,e2)
| ~ spl4_79
| ~ spl4_80
| ~ spl4_90 ),
inference(forward_demodulation,[],[f2862,f740]) ).
fof(f2862,plain,
( e2 = e3
| e1 = e2
| e2 = op(e2,e2)
| e2 = op(e2,e0)
| ~ spl4_79
| ~ spl4_80 ),
inference(forward_demodulation,[],[f2861,f692]) ).
fof(f3397,plain,
( spl4_2
| ~ spl4_70
| ~ spl4_72 ),
inference(avatar_split_clause,[],[f1142,f654,f645,f312]) ).
fof(f1142,plain,
( e0 = e2
| ~ spl4_70
| ~ spl4_72 ),
inference(superposition,[],[f647,f656]) ).
fof(f3342,plain,
( spl4_79
| spl4_1
| spl4_4
| ~ spl4_78
| ~ spl4_90
| ~ spl4_103 ),
inference(avatar_split_clause,[],[f3329,f835,f738,f681,f322,f307,f686]) ).
fof(f3329,plain,
( e1 = e2
| e0 = e1
| e1 = op(e2,e3)
| ~ spl4_78
| ~ spl4_90
| ~ spl4_103 ),
inference(forward_demodulation,[],[f3179,f683]) ).
fof(f3179,plain,
( e0 = e1
| e1 = op(e2,e3)
| e1 = op(e2,e1)
| ~ spl4_90
| ~ spl4_103 ),
inference(duplicate_literal_removal,[],[f1480]) ).
fof(f1480,plain,
( e0 = e1
| e0 = e1
| e1 = op(e2,e3)
| e1 = op(e2,e1)
| ~ spl4_90
| ~ spl4_103 ),
inference(forward_demodulation,[],[f1479,f740]) ).
fof(f3323,plain,
( ~ spl4_100
| ~ spl4_77
| ~ spl4_102 ),
inference(avatar_split_clause,[],[f3288,f831,f677,f822]) ).
fof(f3288,plain,
( e0 != op(e3,e2)
| ~ spl4_77
| ~ spl4_102 ),
inference(trivial_inequality_removal,[],[f3287]) ).
fof(f3287,plain,
( e1 != e1
| e0 != op(e3,e2)
| ~ spl4_77
| ~ spl4_102 ),
inference(forward_demodulation,[],[f3027,f678]) ).
fof(f3027,plain,
( e1 != op(e2,e2)
| e0 != op(e3,e2)
| ~ spl4_102 ),
inference(trivial_inequality_removal,[],[f3026]) ).
fof(f3026,plain,
( e3 != e3
| e1 != op(e2,e2)
| e0 != op(e3,e2)
| ~ spl4_102 ),
inference(forward_demodulation,[],[f285,f832]) ).
fof(f285,plain,
( e1 != op(e2,e2)
| e3 != op(e1,e2)
| e0 != op(e3,e2) ),
inference(inner_rewriting,[],[f284]) ).
fof(f284,plain,
( e1 != op(e2,e2)
| e3 != op(e1,e2)
| e0 != op(op(e1,e2),e2) ),
inference(inner_rewriting,[],[f247]) ).
fof(f247,plain,
( e1 != op(e2,e2)
| e3 != op(op(e2,e2),e2)
| e0 != op(op(op(e2,e2),e2),e2) ),
inference(cnf_transformation,[],[f43]) ).
fof(f43,plain,
( e1 != op(e2,e2)
| e3 != op(op(e2,e2),e2)
| e0 != op(op(op(e2,e2),e2),e2) ),
inference(ennf_transformation,[],[f19]) ).
fof(f19,axiom,
~ ( e1 = op(e2,e2)
& e3 = op(op(e2,e2),e2)
& e0 = op(op(op(e2,e2),e2),e2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax19) ).
fof(f3268,plain,
( spl4_5
| ~ spl4_77
| ~ spl4_101 ),
inference(avatar_split_clause,[],[f3260,f826,f677,f327]) ).
fof(f3260,plain,
( e1 = e3
| ~ spl4_77
| ~ spl4_101 ),
inference(superposition,[],[f678,f827]) ).
fof(f3253,plain,
( spl4_1
| ~ spl4_70
| ~ spl4_77
| ~ spl4_78
| ~ spl4_118 ),
inference(avatar_split_clause,[],[f3252,f1532,f681,f677,f645,f307]) ).
fof(f3252,plain,
( e0 = e1
| ~ spl4_70
| ~ spl4_77
| ~ spl4_78
| ~ spl4_118 ),
inference(forward_demodulation,[],[f3251,f647]) ).
fof(f3248,plain,
( spl4_65
| spl4_71
| spl4_77
| spl4_1
| ~ spl4_100 ),
inference(avatar_split_clause,[],[f1170,f822,f307,f677,f650,f623]) ).
fof(f1170,plain,
( e0 = e1
| e1 = op(e2,e2)
| e1 = op(e1,e2)
| e1 = op(e0,e2)
| ~ spl4_100 ),
inference(forward_demodulation,[],[f205,f823]) ).
fof(f3238,plain,
( spl4_118
| spl4_5
| spl4_1
| ~ spl4_90
| ~ spl4_98
| ~ spl4_101 ),
inference(avatar_split_clause,[],[f3200,f826,f813,f738,f307,f327,f1532]) ).
fof(f3200,plain,
( e0 = e1
| e1 = e3
| e1 = op(e2,e1)
| ~ spl4_90
| ~ spl4_98
| ~ spl4_101 ),
inference(duplicate_literal_removal,[],[f3199]) ).
fof(f3199,plain,
( e0 = e1
| e0 = e1
| e1 = e3
| e1 = op(e2,e1)
| ~ spl4_90
| ~ spl4_98
| ~ spl4_101 ),
inference(forward_demodulation,[],[f3189,f740]) ).
fof(f3189,plain,
( e0 = e1
| e1 = e3
| e1 = op(e2,e1)
| e1 = op(e2,e0)
| ~ spl4_98
| ~ spl4_101 ),
inference(forward_demodulation,[],[f2196,f814]) ).
fof(f2196,plain,
( e1 = e3
| e1 = op(e2,e3)
| e1 = op(e2,e1)
| e1 = op(e2,e0)
| ~ spl4_101 ),
inference(forward_demodulation,[],[f204,f827]) ).
fof(f3197,plain,
( spl4_3
| ~ spl4_101
| ~ spl4_103 ),
inference(avatar_split_clause,[],[f3195,f835,f826,f317]) ).
fof(f3195,plain,
( e0 = e3
| ~ spl4_101
| ~ spl4_103 ),
inference(forward_demodulation,[],[f827,f836]) ).
fof(f3178,plain,
( spl4_3
| ~ spl4_90
| ~ spl4_120 ),
inference(avatar_split_clause,[],[f3175,f1572,f738,f317]) ).
fof(f3175,plain,
( e0 = e3
| ~ spl4_90
| ~ spl4_120 ),
inference(forward_demodulation,[],[f1574,f740]) ).
fof(f3174,plain,
( spl4_96
| spl4_6
| spl4_2
| spl4_4
| ~ spl4_85
| ~ spl4_88
| ~ spl4_121 ),
inference(avatar_split_clause,[],[f3145,f1576,f726,f713,f322,f312,f332,f804]) ).
fof(f3145,plain,
( e1 = e2
| e0 = e2
| e2 = e3
| e2 = op(e1,e3)
| ~ spl4_85
| ~ spl4_88
| ~ spl4_121 ),
inference(forward_demodulation,[],[f3076,f714]) ).
fof(f3076,plain,
( e0 = e2
| e2 = e3
| e2 = op(e3,e3)
| e2 = op(e1,e3)
| ~ spl4_88
| ~ spl4_121 ),
inference(forward_demodulation,[],[f1669,f728]) ).
fof(f3161,plain,
( spl4_96
| spl4_4
| spl4_2
| ~ spl4_69
| ~ spl4_70
| ~ spl4_108 ),
inference(avatar_split_clause,[],[f3144,f902,f645,f641,f312,f322,f804]) ).
fof(f3144,plain,
( e0 = e2
| e1 = e2
| e2 = op(e1,e3)
| ~ spl4_69
| ~ spl4_70
| ~ spl4_108 ),
inference(duplicate_literal_removal,[],[f3143]) ).
fof(f3143,plain,
( e0 = e2
| e1 = e2
| e0 = e2
| e2 = op(e1,e3)
| ~ spl4_69
| ~ spl4_70
| ~ spl4_108 ),
inference(forward_demodulation,[],[f2775,f904]) ).
fof(f3142,plain,
( spl4_6
| ~ spl4_96
| ~ spl4_117 ),
inference(avatar_split_clause,[],[f3139,f1073,f804,f332]) ).
fof(f3139,plain,
( e2 = e3
| ~ spl4_96
| ~ spl4_117 ),
inference(forward_demodulation,[],[f1075,f805]) ).
fof(f3124,plain,
( spl4_4
| ~ spl4_65
| ~ spl4_94 ),
inference(avatar_split_clause,[],[f3123,f762,f623,f322]) ).
fof(f3123,plain,
( e1 = e2
| ~ spl4_65
| ~ spl4_94 ),
inference(forward_demodulation,[],[f764,f624]) ).
fof(f3122,plain,
( spl4_94
| spl4_13
| spl4_2
| spl4_6
| ~ spl4_100
| ~ spl4_102 ),
inference(avatar_split_clause,[],[f2977,f831,f822,f332,f312,f364,f762]) ).
fof(f2977,plain,
( e2 = e3
| e0 = e2
| e2 = op(e2,e2)
| e2 = op(e0,e2)
| ~ spl4_100
| ~ spl4_102 ),
inference(forward_demodulation,[],[f1300,f832]) ).
fof(f3112,plain,
( spl4_96
| spl4_2
| spl4_4
| spl4_6
| ~ spl4_69
| ~ spl4_70
| ~ spl4_102 ),
inference(avatar_split_clause,[],[f2947,f831,f645,f641,f332,f322,f312,f804]) ).
fof(f2947,plain,
( e2 = e3
| e1 = e2
| e0 = e2
| e2 = op(e1,e3)
| ~ spl4_69
| ~ spl4_70
| ~ spl4_102 ),
inference(forward_demodulation,[],[f2775,f832]) ).
fof(f3062,plain,
( ~ spl4_80
| ~ spl4_66
| ~ spl4_70 ),
inference(avatar_split_clause,[],[f3042,f645,f627,f690]) ).
fof(f3042,plain,
( e2 != op(e0,e1)
| e3 != op(e2,e1)
| ~ spl4_70 ),
inference(trivial_inequality_removal,[],[f3041]) ).
fof(f3041,plain,
( e0 != e0
| e2 != op(e0,e1)
| e3 != op(e2,e1)
| ~ spl4_70 ),
inference(forward_demodulation,[],[f281,f647]) ).
fof(f281,plain,
( e0 != op(e1,e1)
| e2 != op(e0,e1)
| e3 != op(e2,e1) ),
inference(inner_rewriting,[],[f280]) ).
fof(f280,plain,
( e0 != op(e1,e1)
| e2 != op(e0,e1)
| e3 != op(op(e0,e1),e1) ),
inference(inner_rewriting,[],[f245]) ).
fof(f245,plain,
( e0 != op(e1,e1)
| e2 != op(op(e1,e1),e1)
| e3 != op(op(op(e1,e1),e1),e1) ),
inference(cnf_transformation,[],[f41]) ).
fof(f41,plain,
( e0 != op(e1,e1)
| e2 != op(op(e1,e1),e1)
| e3 != op(op(op(e1,e1),e1),e1) ),
inference(ennf_transformation,[],[f17]) ).
fof(f17,axiom,
~ ( e0 = op(e1,e1)
& e2 = op(op(e1,e1),e1)
& e3 = op(op(op(e1,e1),e1),e1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax17) ).
fof(f3037,plain,
( spl4_6
| ~ spl4_78
| ~ spl4_80 ),
inference(avatar_split_clause,[],[f2722,f690,f681,f332]) ).
fof(f2722,plain,
( e2 = e3
| ~ spl4_78
| ~ spl4_80 ),
inference(superposition,[],[f683,f692]) ).
fof(f3025,plain,
( spl4_77
| spl4_5
| spl4_1
| ~ spl4_87
| ~ spl4_100
| ~ spl4_102 ),
inference(avatar_split_clause,[],[f2982,f831,f822,f722,f307,f327,f677]) ).
fof(f2982,plain,
( e0 = e1
| e1 = e3
| e1 = op(e2,e2)
| ~ spl4_87
| ~ spl4_100
| ~ spl4_102 ),
inference(duplicate_literal_removal,[],[f2981]) ).
fof(f2981,plain,
( e0 = e1
| e1 = e3
| e0 = e1
| e1 = op(e2,e2)
| ~ spl4_87
| ~ spl4_100
| ~ spl4_102 ),
inference(forward_demodulation,[],[f2980,f724]) ).
fof(f2980,plain,
( e1 = e3
| e0 = e1
| e1 = op(e2,e2)
| e1 = op(e0,e2)
| ~ spl4_100
| ~ spl4_102 ),
inference(forward_demodulation,[],[f1170,f832]) ).
fof(f2991,plain,
( spl4_85
| spl4_1
| spl4_4
| ~ spl4_84
| ~ spl4_100
| ~ spl4_106 ),
inference(avatar_split_clause,[],[f2976,f860,f822,f708,f322,f307,f713]) ).
fof(f2976,plain,
( e1 = e2
| e0 = e1
| e1 = op(e3,e3)
| ~ spl4_84
| ~ spl4_100
| ~ spl4_106 ),
inference(duplicate_literal_removal,[],[f2975]) ).
fof(f2975,plain,
( e1 = e2
| e1 = e2
| e0 = e1
| e1 = op(e3,e3)
| ~ spl4_84
| ~ spl4_100
| ~ spl4_106 ),
inference(forward_demodulation,[],[f2974,f862]) ).
fof(f2974,plain,
( e1 = e2
| e0 = e1
| e1 = op(e3,e3)
| e1 = op(e3,e0)
| ~ spl4_84
| ~ spl4_100 ),
inference(forward_demodulation,[],[f1394,f710]) ).
fof(f2973,plain,
( spl4_100
| spl4_97
| spl4_2
| ~ spl4_84
| ~ spl4_106 ),
inference(avatar_split_clause,[],[f2968,f860,f708,f312,f808,f822]) ).
fof(f2968,plain,
( e0 = e2
| e0 = op(e3,e3)
| e0 = op(e3,e2)
| ~ spl4_84
| ~ spl4_106 ),
inference(duplicate_literal_removal,[],[f2967]) ).
fof(f2967,plain,
( e0 = e2
| e0 = e2
| e0 = op(e3,e3)
| e0 = op(e3,e2)
| ~ spl4_84
| ~ spl4_106 ),
inference(forward_demodulation,[],[f2203,f710]) ).
fof(f2966,plain,
( spl4_85
| spl4_4
| ~ spl4_84
| ~ spl4_106
| ~ spl4_119 ),
inference(avatar_split_clause,[],[f2938,f1566,f860,f708,f322,f713]) ).
fof(f2938,plain,
( e1 = e2
| e1 = op(e3,e3)
| ~ spl4_84
| ~ spl4_106
| ~ spl4_119 ),
inference(duplicate_literal_removal,[],[f2937]) ).
fof(f2937,plain,
( e1 = e2
| e1 = e2
| e1 = op(e3,e3)
| ~ spl4_84
| ~ spl4_106
| ~ spl4_119 ),
inference(forward_demodulation,[],[f2936,f710]) ).
fof(f2936,plain,
( e1 = e2
| e1 = op(e3,e3)
| e1 = op(e3,e1)
| ~ spl4_106
| ~ spl4_119 ),
inference(duplicate_literal_removal,[],[f2935]) ).
fof(f2935,plain,
( e1 = e2
| e1 = e2
| e1 = op(e3,e3)
| e1 = op(e3,e1)
| ~ spl4_106
| ~ spl4_119 ),
inference(forward_demodulation,[],[f2205,f1568]) ).
fof(f2934,plain,
( ~ spl4_107
| ~ spl4_70
| ~ spl4_72
| spl4_110 ),
inference(avatar_split_clause,[],[f1210,f922,f654,f645,f883]) ).
fof(f1210,plain,
( op(e0,e0) != e3
| ~ spl4_70
| ~ spl4_72
| spl4_110 ),
inference(forward_demodulation,[],[f923,f1142]) ).
fof(f923,plain,
( e3 != op(e0,e2)
| spl4_110 ),
inference(avatar_component_clause,[],[f922]) ).
fof(f2904,plain,
( spl4_4
| ~ spl4_69
| ~ spl4_106
| ~ spl4_116 ),
inference(avatar_split_clause,[],[f2894,f1069,f860,f641,f322]) ).
fof(f2894,plain,
( e1 = e2
| ~ spl4_69
| ~ spl4_106
| ~ spl4_116 ),
inference(forward_demodulation,[],[f2893,f642]) ).
fof(f2893,plain,
( e2 = op(e1,e0)
| ~ spl4_69
| ~ spl4_106
| ~ spl4_116 ),
inference(forward_demodulation,[],[f862,f2339]) ).
fof(f2847,plain,
( spl4_71
| spl4_83
| spl4_1
| ~ spl4_87
| ~ spl4_103 ),
inference(avatar_split_clause,[],[f2778,f835,f722,f307,f704,f650]) ).
fof(f2778,plain,
( e0 = e1
| e1 = op(e3,e2)
| e1 = op(e1,e2)
| ~ spl4_87
| ~ spl4_103 ),
inference(duplicate_literal_removal,[],[f2777]) ).
fof(f2777,plain,
( e0 = e1
| e0 = e1
| e1 = op(e3,e2)
| e1 = op(e1,e2)
| ~ spl4_87
| ~ spl4_103 ),
inference(forward_demodulation,[],[f2776,f724]) ).
fof(f2845,plain,
( ~ spl4_104
| spl4_18
| ~ spl4_105 ),
inference(avatar_split_clause,[],[f978,f856,f389,f852]) ).
fof(f978,plain,
( e2 != op(e1,e0)
| spl4_18
| ~ spl4_105 ),
inference(superposition,[],[f391,f858]) ).
fof(f2844,plain,
( ~ spl4_97
| ~ spl4_79
| ~ spl4_95 ),
inference(avatar_split_clause,[],[f2826,f766,f686,f808]) ).
fof(f2826,plain,
( e0 != op(e3,e3)
| ~ spl4_79
| ~ spl4_95 ),
inference(trivial_inequality_removal,[],[f2825]) ).
fof(f2825,plain,
( e1 != e1
| e0 != op(e3,e3)
| ~ spl4_79
| ~ spl4_95 ),
inference(forward_demodulation,[],[f2824,f687]) ).
fof(f2824,plain,
( e0 != op(e3,e3)
| e1 != op(e2,e3)
| ~ spl4_95 ),
inference(trivial_inequality_removal,[],[f2823]) ).
fof(f2823,plain,
( e2 != e2
| e0 != op(e3,e3)
| e1 != op(e2,e3)
| ~ spl4_95 ),
inference(forward_demodulation,[],[f263,f768]) ).
fof(f263,plain,
( e0 != op(e3,e3)
| e2 != op(e0,e3)
| e1 != op(e2,e3) ),
inference(inner_rewriting,[],[f262]) ).
fof(f262,plain,
( e0 != op(e3,e3)
| e2 != op(e0,e3)
| e1 != op(op(e0,e3),e3) ),
inference(inner_rewriting,[],[f236]) ).
fof(f236,plain,
( e0 != op(e3,e3)
| e2 != op(op(e3,e3),e3)
| e1 != op(op(op(e3,e3),e3),e3) ),
inference(cnf_transformation,[],[f32]) ).
fof(f32,plain,
( e0 != op(e3,e3)
| e2 != op(op(e3,e3),e3)
| e1 != op(op(op(e3,e3),e3),e3) ),
inference(ennf_transformation,[],[f27]) ).
fof(f27,axiom,
~ ( e0 = op(e3,e3)
& e2 = op(op(e3,e3),e3)
& e1 = op(op(op(e3,e3),e3),e3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax27) ).
fof(f2818,plain,
( spl4_117
| spl4_5
| spl4_6
| ~ spl4_79
| ~ spl4_95
| ~ spl4_99 ),
inference(avatar_split_clause,[],[f2805,f817,f766,f686,f332,f327,f1073]) ).
fof(f2805,plain,
( e2 = e3
| e1 = e3
| e3 = op(e1,e3)
| ~ spl4_79
| ~ spl4_95
| ~ spl4_99 ),
inference(duplicate_literal_removal,[],[f2804]) ).
fof(f2804,plain,
( e2 = e3
| e2 = e3
| e1 = e3
| e3 = op(e1,e3)
| ~ spl4_79
| ~ spl4_95
| ~ spl4_99 ),
inference(forward_demodulation,[],[f2803,f768]) ).
fof(f2803,plain,
( e2 = e3
| e1 = e3
| e3 = op(e1,e3)
| e3 = op(e0,e3)
| ~ spl4_79
| ~ spl4_99 ),
inference(forward_demodulation,[],[f1757,f818]) ).
fof(f2802,plain,
( spl4_2
| ~ spl4_97
| ~ spl4_99 ),
inference(avatar_split_clause,[],[f2792,f817,f808,f312]) ).
fof(f2792,plain,
( e0 = e2
| ~ spl4_97
| ~ spl4_99 ),
inference(superposition,[],[f809,f818]) ).
fof(f2773,plain,
( spl4_112
| spl4_2
| ~ spl4_78
| ~ spl4_80
| ~ spl4_87
| ~ spl4_103 ),
inference(avatar_split_clause,[],[f2753,f835,f722,f690,f681,f312,f993]) ).
fof(f2753,plain,
( e0 = e2
| e2 = op(e1,e2)
| ~ spl4_78
| ~ spl4_80
| ~ spl4_87
| ~ spl4_103 ),
inference(duplicate_literal_removal,[],[f2752]) ).
fof(f2752,plain,
( e0 = e2
| e0 = e2
| e2 = op(e1,e2)
| ~ spl4_78
| ~ spl4_80
| ~ spl4_87
| ~ spl4_103 ),
inference(forward_demodulation,[],[f2751,f724]) ).
fof(f2751,plain,
( e0 = e2
| e2 = op(e1,e2)
| e2 = op(e0,e2)
| ~ spl4_78
| ~ spl4_80
| ~ spl4_103 ),
inference(duplicate_literal_removal,[],[f2750]) ).
fof(f2750,plain,
( e0 = e2
| e0 = e2
| e2 = op(e1,e2)
| e2 = op(e0,e2)
| ~ spl4_78
| ~ spl4_80
| ~ spl4_103 ),
inference(forward_demodulation,[],[f2749,f836]) ).
fof(f2749,plain,
( e2 = op(e2,e2)
| e0 = e2
| e2 = op(e1,e2)
| e2 = op(e0,e2)
| ~ spl4_78
| ~ spl4_80
| ~ spl4_103 ),
inference(forward_demodulation,[],[f1473,f2722]) ).
fof(f2743,plain,
( spl4_1
| ~ spl4_77
| ~ spl4_103 ),
inference(avatar_split_clause,[],[f2742,f835,f677,f307]) ).
fof(f2742,plain,
( e0 = e1
| ~ spl4_77
| ~ spl4_103 ),
inference(forward_demodulation,[],[f678,f836]) ).
fof(f2739,plain,
( spl4_77
| spl4_83
| spl4_4
| spl4_1
| ~ spl4_87
| ~ spl4_112 ),
inference(avatar_split_clause,[],[f2618,f993,f722,f307,f322,f704,f677]) ).
fof(f2618,plain,
( e0 = e1
| e1 = e2
| e1 = op(e3,e2)
| e1 = op(e2,e2)
| ~ spl4_87
| ~ spl4_112 ),
inference(forward_demodulation,[],[f2617,f724]) ).
fof(f2617,plain,
( e1 = e2
| e1 = op(e3,e2)
| e1 = op(e2,e2)
| e1 = op(e0,e2)
| ~ spl4_112 ),
inference(forward_demodulation,[],[f205,f995]) ).
fof(f2737,plain,
( spl4_97
| spl4_2
| spl4_1
| spl4_3
| ~ spl4_79
| ~ spl4_95
| ~ spl4_117 ),
inference(avatar_split_clause,[],[f2721,f1073,f766,f686,f317,f307,f312,f808]) ).
fof(f2721,plain,
( e0 = e3
| e0 = e1
| e0 = e2
| e0 = op(e3,e3)
| ~ spl4_79
| ~ spl4_95
| ~ spl4_117 ),
inference(forward_demodulation,[],[f2720,f1075]) ).
fof(f2720,plain,
( e0 = e1
| e0 = e2
| e0 = op(e3,e3)
| e0 = op(e1,e3)
| ~ spl4_79
| ~ spl4_95 ),
inference(forward_demodulation,[],[f2462,f687]) ).
fof(f2718,plain,
( spl4_1
| ~ spl4_79
| ~ spl4_98 ),
inference(avatar_split_clause,[],[f2622,f813,f686,f307]) ).
fof(f2622,plain,
( e0 = e1
| ~ spl4_79
| ~ spl4_98 ),
inference(superposition,[],[f814,f687]) ).
fof(f2716,plain,
( spl4_72
| spl4_78
| spl4_84
| spl4_4
| ~ spl4_92 ),
inference(avatar_split_clause,[],[f2287,f749,f322,f708,f681,f654]) ).
fof(f2287,plain,
( e1 = e2
| e2 = op(e3,e1)
| e2 = op(e2,e1)
| e2 = op(e1,e1)
| ~ spl4_92 ),
inference(forward_demodulation,[],[f199,f751]) ).
fof(f2700,plain,
( spl4_119
| spl4_115
| spl4_100
| ~ spl4_79
| ~ spl4_98 ),
inference(avatar_split_clause,[],[f2690,f813,f686,f822,f1064,f1566]) ).
fof(f2690,plain,
( e0 = op(e3,e2)
| e3 = op(e3,e2)
| e2 = op(e3,e2)
| ~ spl4_79
| ~ spl4_98 ),
inference(duplicate_literal_removal,[],[f2689]) ).
fof(f2689,plain,
( e0 = op(e3,e2)
| e3 = op(e3,e2)
| e2 = op(e3,e2)
| e0 = op(e3,e2)
| ~ spl4_79
| ~ spl4_98 ),
inference(forward_demodulation,[],[f232,f2622]) ).
fof(f232,plain,
( e3 = op(e3,e2)
| e2 = op(e3,e2)
| e1 = op(e3,e2)
| e0 = op(e3,e2) ),
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(f2685,plain,
( spl4_14
| spl4_6
| spl4_3
| ~ spl4_79
| ~ spl4_91
| ~ spl4_98
| ~ spl4_119 ),
inference(avatar_split_clause,[],[f2660,f1566,f813,f742,f686,f317,f332,f369]) ).
fof(f2660,plain,
( e0 = e3
| e2 = e3
| e3 = op(e3,e3)
| ~ spl4_79
| ~ spl4_91
| ~ spl4_98
| ~ spl4_119 ),
inference(duplicate_literal_removal,[],[f2659]) ).
fof(f2659,plain,
( e0 = e3
| e2 = e3
| e0 = e3
| e3 = op(e3,e3)
| ~ spl4_79
| ~ spl4_91
| ~ spl4_98
| ~ spl4_119 ),
inference(forward_demodulation,[],[f2658,f744]) ).
fof(f2658,plain,
( e3 = op(e3,e0)
| e2 = e3
| e0 = e3
| e3 = op(e3,e3)
| ~ spl4_79
| ~ spl4_91
| ~ spl4_98
| ~ spl4_119 ),
inference(forward_demodulation,[],[f2024,f2622]) ).
fof(f2024,plain,
( e2 = e3
| e0 = e3
| e3 = op(e3,e3)
| e3 = op(e3,e1)
| ~ spl4_91
| ~ spl4_119 ),
inference(forward_demodulation,[],[f1676,f1568]) ).
fof(f2657,plain,
( spl4_84
| spl4_119
| spl4_99
| spl4_2
| ~ spl4_91 ),
inference(avatar_split_clause,[],[f1671,f742,f312,f817,f1566,f708]) ).
fof(f1671,plain,
( e0 = e2
| e2 = op(e3,e3)
| e2 = op(e3,e2)
| e2 = op(e3,e1)
| ~ spl4_91 ),
inference(forward_demodulation,[],[f214,f744]) ).
fof(f2631,plain,
( spl4_101
| spl4_115
| spl4_6
| spl4_3
| ~ spl4_87
| ~ spl4_112 ),
inference(avatar_split_clause,[],[f2620,f993,f722,f317,f332,f1064,f826]) ).
fof(f2620,plain,
( e0 = e3
| e2 = e3
| e3 = op(e3,e2)
| e3 = op(e2,e2)
| ~ spl4_87
| ~ spl4_112 ),
inference(forward_demodulation,[],[f2619,f724]) ).
fof(f2621,plain,
( spl4_103
| spl4_98
| spl4_3
| spl4_2
| ~ spl4_80
| ~ spl4_105 ),
inference(avatar_split_clause,[],[f2611,f856,f690,f312,f317,f813,f835]) ).
fof(f2611,plain,
( e0 = e2
| e0 = e3
| e0 = op(e2,e3)
| e0 = op(e2,e2)
| ~ spl4_80
| ~ spl4_105 ),
inference(forward_demodulation,[],[f1827,f858]) ).
fof(f1827,plain,
( e0 = e3
| e0 = op(e2,e3)
| e0 = op(e2,e2)
| e0 = op(e2,e0)
| ~ spl4_80 ),
inference(forward_demodulation,[],[f202,f692]) ).
fof(f2607,plain,
( spl4_98
| spl4_2
| spl4_3
| ~ spl4_80
| ~ spl4_101
| ~ spl4_105 ),
inference(avatar_split_clause,[],[f2566,f856,f826,f690,f317,f312,f813]) ).
fof(f2566,plain,
( e0 = e3
| e0 = e2
| e0 = op(e2,e3)
| ~ spl4_80
| ~ spl4_101
| ~ spl4_105 ),
inference(duplicate_literal_removal,[],[f2565]) ).
fof(f2565,plain,
( e0 = e3
| e0 = e2
| e0 = e3
| e0 = op(e2,e3)
| ~ spl4_80
| ~ spl4_101
| ~ spl4_105 ),
inference(forward_demodulation,[],[f1828,f827]) ).
fof(f1828,plain,
( e0 = e2
| e0 = e3
| e0 = op(e2,e3)
| e0 = op(e2,e2)
| ~ spl4_80
| ~ spl4_105 ),
inference(forward_demodulation,[],[f1827,f858]) ).
fof(f2550,plain,
( spl4_121
| spl4_14
| spl4_5
| spl4_6
| ~ spl4_73
| ~ spl4_95 ),
inference(avatar_split_clause,[],[f2473,f766,f659,f332,f327,f369,f1576]) ).
fof(f2473,plain,
( e2 = e3
| e1 = e3
| e3 = op(e3,e3)
| e3 = op(e2,e3)
| ~ spl4_73
| ~ spl4_95 ),
inference(forward_demodulation,[],[f2472,f768]) ).
fof(f2472,plain,
( e1 = e3
| e3 = op(e3,e3)
| e3 = op(e2,e3)
| e3 = op(e0,e3)
| ~ spl4_73 ),
inference(forward_demodulation,[],[f217,f660]) ).
fof(f2534,plain,
( ~ spl4_75
| ~ spl4_106
| ~ spl4_107 ),
inference(avatar_split_clause,[],[f2469,f883,f860,f668]) ).
fof(f2469,plain,
( e2 != op(e3,e0)
| e1 != op(e2,e0)
| ~ spl4_107 ),
inference(trivial_inequality_removal,[],[f2468]) ).
fof(f2468,plain,
( e3 != e3
| e2 != op(e3,e0)
| e1 != op(e2,e0)
| ~ spl4_107 ),
inference(forward_demodulation,[],[f305,f884]) ).
fof(f305,plain,
( op(e0,e0) != e3
| e2 != op(e3,e0)
| e1 != op(e2,e0) ),
inference(inner_rewriting,[],[f304]) ).
fof(f304,plain,
( op(e0,e0) != e3
| e2 != op(e3,e0)
| e1 != op(op(e3,e0),e0) ),
inference(inner_rewriting,[],[f257]) ).
fof(f257,plain,
( op(e0,e0) != e3
| e2 != op(op(e0,e0),e0)
| e1 != op(op(op(e0,e0),e0),e0) ),
inference(cnf_transformation,[],[f53]) ).
fof(f53,plain,
( op(e0,e0) != e3
| e2 != op(op(e0,e0),e0)
| e1 != op(op(op(e0,e0),e0),e0) ),
inference(ennf_transformation,[],[f6]) ).
fof(f6,axiom,
~ ( op(e0,e0) = e3
& e2 = op(op(e0,e0),e0)
& e1 = op(op(op(e0,e0),e0),e0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax6) ).
fof(f2459,plain,
( spl4_3
| ~ spl4_70
| ~ spl4_74 ),
inference(avatar_split_clause,[],[f2372,f663,f645,f317]) ).
fof(f2372,plain,
( e0 = e3
| ~ spl4_70
| ~ spl4_74 ),
inference(forward_demodulation,[],[f665,f647]) ).
fof(f2399,plain,
( spl4_1
| ~ spl4_69
| ~ spl4_70
| ~ spl4_73
| ~ spl4_116 ),
inference(avatar_split_clause,[],[f2370,f1069,f659,f645,f641,f307]) ).
fof(f2370,plain,
( e0 = e1
| ~ spl4_69
| ~ spl4_70
| ~ spl4_73
| ~ spl4_116 ),
inference(forward_demodulation,[],[f2369,f647]) ).
fof(f2369,plain,
( e1 = op(e1,e1)
| ~ spl4_69
| ~ spl4_73
| ~ spl4_116 ),
inference(forward_demodulation,[],[f660,f2339]) ).
fof(f2355,plain,
( spl4_6
| ~ spl4_84
| ~ spl4_86 ),
inference(avatar_split_clause,[],[f1554,f717,f708,f332]) ).
fof(f1554,plain,
( e2 = e3
| ~ spl4_84
| ~ spl4_86 ),
inference(superposition,[],[f710,f719]) ).
fof(f2313,plain,
( spl4_1
| ~ spl4_73
| ~ spl4_109 ),
inference(avatar_split_clause,[],[f2309,f906,f659,f307]) ).
fof(f2309,plain,
( e0 = e1
| ~ spl4_73
| ~ spl4_109 ),
inference(forward_demodulation,[],[f660,f908]) ).
fof(f2280,plain,
( spl4_4
| ~ spl4_66
| ~ spl4_92 ),
inference(avatar_split_clause,[],[f2252,f749,f627,f322]) ).
fof(f2252,plain,
( e1 = e2
| ~ spl4_66
| ~ spl4_92 ),
inference(forward_demodulation,[],[f629,f751]) ).
fof(f2253,plain,
( spl4_3
| ~ spl4_87
| ~ spl4_110 ),
inference(avatar_split_clause,[],[f2210,f922,f722,f317]) ).
fof(f2210,plain,
( e0 = e3
| ~ spl4_87
| ~ spl4_110 ),
inference(forward_demodulation,[],[f924,f724]) ).
fof(f2187,plain,
( spl4_4
| ~ spl4_67
| ~ spl4_95 ),
inference(avatar_split_clause,[],[f2092,f766,f632,f322]) ).
fof(f2092,plain,
( e1 = e2
| ~ spl4_67
| ~ spl4_95 ),
inference(superposition,[],[f768,f633]) ).
fof(f2154,plain,
( spl4_14
| spl4_3
| spl4_86
| ~ spl4_67
| ~ spl4_91
| ~ spl4_95 ),
inference(avatar_split_clause,[],[f2130,f766,f742,f632,f717,f317,f369]) ).
fof(f2130,plain,
( e3 = op(e3,e1)
| e0 = e3
| e3 = op(e3,e3)
| ~ spl4_67
| ~ spl4_91
| ~ spl4_95 ),
inference(duplicate_literal_removal,[],[f2129]) ).
fof(f2129,plain,
( e3 = op(e3,e1)
| e0 = e3
| e3 = op(e3,e3)
| e3 = op(e3,e1)
| ~ spl4_67
| ~ spl4_91
| ~ spl4_95 ),
inference(forward_demodulation,[],[f1676,f2092]) ).
fof(f2137,plain,
( spl4_14
| spl4_5
| spl4_3
| ~ spl4_67
| ~ spl4_84
| ~ spl4_91
| ~ spl4_95 ),
inference(avatar_split_clause,[],[f2128,f766,f742,f708,f632,f317,f327,f369]) ).
fof(f2128,plain,
( e0 = e3
| e1 = e3
| e3 = op(e3,e3)
| ~ spl4_67
| ~ spl4_84
| ~ spl4_91
| ~ spl4_95 ),
inference(forward_demodulation,[],[f2127,f744]) ).
fof(f2127,plain,
( e1 = e3
| e3 = op(e3,e3)
| e3 = op(e3,e0)
| ~ spl4_67
| ~ spl4_84
| ~ spl4_95 ),
inference(forward_demodulation,[],[f2126,f2092]) ).
fof(f2126,plain,
( e2 = e3
| e3 = op(e3,e3)
| e3 = op(e3,e0)
| ~ spl4_67
| ~ spl4_84
| ~ spl4_95 ),
inference(forward_demodulation,[],[f2125,f710]) ).
fof(f2125,plain,
( e3 = op(e3,e1)
| e3 = op(e3,e3)
| e3 = op(e3,e0)
| ~ spl4_67
| ~ spl4_95 ),
inference(duplicate_literal_removal,[],[f2124]) ).
fof(f2124,plain,
( e3 = op(e3,e1)
| e3 = op(e3,e3)
| e3 = op(e3,e1)
| e3 = op(e3,e0)
| ~ spl4_67
| ~ spl4_95 ),
inference(forward_demodulation,[],[f216,f2092]) ).
fof(f2110,plain,
( spl4_14
| spl4_3
| spl4_5
| spl4_6
| ~ spl4_83
| ~ spl4_84
| ~ spl4_91 ),
inference(avatar_split_clause,[],[f2056,f742,f708,f704,f332,f327,f317,f369]) ).
fof(f2056,plain,
( e2 = e3
| e1 = e3
| e0 = e3
| e3 = op(e3,e3)
| ~ spl4_83
| ~ spl4_84
| ~ spl4_91 ),
inference(forward_demodulation,[],[f2055,f710]) ).
fof(f2055,plain,
( e1 = e3
| e0 = e3
| e3 = op(e3,e3)
| e3 = op(e3,e1)
| ~ spl4_83
| ~ spl4_91 ),
inference(forward_demodulation,[],[f1676,f705]) ).
fof(f2052,plain,
( spl4_4
| ~ spl4_83
| ~ spl4_119 ),
inference(avatar_split_clause,[],[f1570,f1566,f704,f322]) ).
fof(f1570,plain,
( e1 = e2
| ~ spl4_83
| ~ spl4_119 ),
inference(forward_demodulation,[],[f1568,f705]) ).
fof(f2039,plain,
( spl4_2
| ~ spl4_82
| ~ spl4_84 ),
inference(avatar_split_clause,[],[f2032,f708,f699,f312]) ).
fof(f2032,plain,
( e0 = e2
| ~ spl4_82
| ~ spl4_84 ),
inference(forward_demodulation,[],[f710,f701]) ).
fof(f2014,plain,
( spl4_3
| ~ spl4_89
| ~ spl4_116 ),
inference(avatar_split_clause,[],[f1271,f1069,f734,f317]) ).
fof(f1271,plain,
( e0 = e3
| ~ spl4_89
| ~ spl4_116 ),
inference(superposition,[],[f736,f1071]) ).
fof(f1993,plain,
( spl4_1
| ~ spl4_67
| ~ spl4_84
| ~ spl4_86
| ~ spl4_87 ),
inference(avatar_split_clause,[],[f1970,f722,f717,f708,f632,f307]) ).
fof(f1970,plain,
( e0 = e1
| ~ spl4_67
| ~ spl4_84
| ~ spl4_86
| ~ spl4_87 ),
inference(forward_demodulation,[],[f1969,f724]) ).
fof(f1969,plain,
( e1 = op(e0,e2)
| ~ spl4_67
| ~ spl4_84
| ~ spl4_86 ),
inference(forward_demodulation,[],[f633,f1554]) ).
fof(f1972,plain,
( spl4_4
| ~ spl4_84
| ~ spl4_86
| ~ spl4_118 ),
inference(avatar_split_clause,[],[f1963,f1532,f717,f708,f322]) ).
fof(f1963,plain,
( e1 = e2
| ~ spl4_84
| ~ spl4_86
| ~ spl4_118 ),
inference(forward_demodulation,[],[f1962,f1534]) ).
fof(f1962,plain,
( e2 = op(e2,e1)
| ~ spl4_84
| ~ spl4_86 ),
inference(forward_demodulation,[],[f710,f1554]) ).
fof(f1947,plain,
( spl4_2
| ~ spl4_87
| ~ spl4_94 ),
inference(avatar_split_clause,[],[f1931,f762,f722,f312]) ).
fof(f1931,plain,
( e0 = e2
| ~ spl4_87
| ~ spl4_94 ),
inference(superposition,[],[f724,f764]) ).
fof(f1945,plain,
( spl4_1
| ~ spl4_71
| ~ spl4_108 ),
inference(avatar_split_clause,[],[f1122,f902,f650,f307]) ).
fof(f1122,plain,
( e0 = e1
| ~ spl4_71
| ~ spl4_108 ),
inference(superposition,[],[f904,f651]) ).
fof(f1936,plain,
( spl4_98
| spl4_79
| spl4_114
| spl4_121 ),
inference(avatar_split_clause,[],[f229,f1576,f1035,f686,f813]) ).
fof(f229,plain,
( e3 = op(e2,e3)
| e2 = op(e2,e3)
| e1 = op(e2,e3)
| e0 = op(e2,e3) ),
inference(cnf_transformation,[],[f1]) ).
fof(f1930,plain,
( spl4_87
| ~ spl4_71
| ~ spl4_108 ),
inference(avatar_split_clause,[],[f1922,f902,f650,f722]) ).
fof(f1922,plain,
( e0 = op(e0,e2)
| ~ spl4_71
| ~ spl4_108 ),
inference(forward_demodulation,[],[f904,f1122]) ).
fof(f1917,plain,
( spl4_2
| ~ spl4_100
| ~ spl4_119 ),
inference(avatar_split_clause,[],[f1891,f1566,f822,f312]) ).
fof(f1891,plain,
( e0 = e2
| ~ spl4_100
| ~ spl4_119 ),
inference(superposition,[],[f823,f1568]) ).
fof(f1857,plain,
( spl4_5
| ~ spl4_86
| ~ spl4_113 ),
inference(avatar_split_clause,[],[f1846,f1022,f717,f327]) ).
fof(f1846,plain,
( e1 = e3
| ~ spl4_86
| ~ spl4_113 ),
inference(forward_demodulation,[],[f719,f1024]) ).
fof(f1823,plain,
( spl4_111
| spl4_14
| spl4_5
| spl4_3
| ~ spl4_79
| ~ spl4_109 ),
inference(avatar_split_clause,[],[f1758,f906,f686,f317,f327,f369,f926]) ).
fof(f1758,plain,
( e0 = e3
| e1 = e3
| e3 = op(e3,e3)
| e3 = op(e0,e3)
| ~ spl4_79
| ~ spl4_109 ),
inference(forward_demodulation,[],[f1757,f908]) ).
fof(f1814,plain,
( spl4_94
| spl4_119
| spl4_2
| spl4_4
| ~ spl4_71
| ~ spl4_103 ),
inference(avatar_split_clause,[],[f1474,f835,f650,f322,f312,f1566,f762]) ).
fof(f1474,plain,
( e1 = e2
| e0 = e2
| e2 = op(e3,e2)
| e2 = op(e0,e2)
| ~ spl4_71
| ~ spl4_103 ),
inference(forward_demodulation,[],[f1473,f651]) ).
fof(f1806,plain,
( spl4_99
| spl4_2
| spl4_6
| spl4_4
| ~ spl4_91
| ~ spl4_113
| ~ spl4_115 ),
inference(avatar_split_clause,[],[f1756,f1064,f1022,f742,f322,f332,f312,f817]) ).
fof(f1756,plain,
( e1 = e2
| e2 = e3
| e0 = e2
| e2 = op(e3,e3)
| ~ spl4_91
| ~ spl4_113
| ~ spl4_115 ),
inference(forward_demodulation,[],[f1755,f1024]) ).
fof(f1755,plain,
( e2 = e3
| e0 = e2
| e2 = op(e3,e3)
| e2 = op(e3,e1)
| ~ spl4_91
| ~ spl4_115 ),
inference(forward_demodulation,[],[f1671,f1065]) ).
fof(f1780,plain,
( spl4_5
| ~ spl4_63
| ~ spl4_107 ),
inference(avatar_split_clause,[],[f1768,f883,f614,f327]) ).
fof(f1768,plain,
( e1 = e3
| ~ spl4_63
| ~ spl4_107 ),
inference(forward_demodulation,[],[f884,f615]) ).
fof(f1761,plain,
( spl4_3
| ~ spl4_64
| ~ spl4_68 ),
inference(avatar_split_clause,[],[f1760,f636,f618,f317]) ).
fof(f1760,plain,
( e0 = e3
| ~ spl4_64
| ~ spl4_68 ),
inference(forward_demodulation,[],[f638,f620]) ).
fof(f1753,plain,
( ~ spl4_99
| ~ spl4_79
| ~ spl4_109 ),
inference(avatar_split_clause,[],[f1743,f906,f686,f817]) ).
fof(f1743,plain,
( e2 != op(e3,e3)
| ~ spl4_79
| ~ spl4_109 ),
inference(trivial_inequality_removal,[],[f1742]) ).
fof(f1742,plain,
( e0 != e0
| e2 != op(e3,e3)
| ~ spl4_79
| ~ spl4_109 ),
inference(forward_demodulation,[],[f1741,f908]) ).
fof(f1741,plain,
( e2 != op(e3,e3)
| e0 != op(e1,e3)
| ~ spl4_79 ),
inference(trivial_inequality_removal,[],[f1740]) ).
fof(f1740,plain,
( e1 != e1
| e2 != op(e3,e3)
| e0 != op(e1,e3)
| ~ spl4_79 ),
inference(forward_demodulation,[],[f269,f687]) ).
fof(f269,plain,
( e2 != op(e3,e3)
| e1 != op(e2,e3)
| e0 != op(e1,e3) ),
inference(inner_rewriting,[],[f268]) ).
fof(f268,plain,
( e2 != op(e3,e3)
| e1 != op(e2,e3)
| e0 != op(op(e2,e3),e3) ),
inference(inner_rewriting,[],[f239]) ).
fof(f239,plain,
( e2 != op(e3,e3)
| e1 != op(op(e3,e3),e3)
| e0 != op(op(op(e3,e3),e3),e3) ),
inference(cnf_transformation,[],[f35]) ).
fof(f35,plain,
( e2 != op(e3,e3)
| e1 != op(op(e3,e3),e3)
| e0 != op(op(op(e3,e3),e3),e3) ),
inference(ennf_transformation,[],[f24]) ).
fof(f24,axiom,
~ ( e2 = op(e3,e3)
& e1 = op(op(e3,e3),e3)
& e0 = op(op(op(e3,e3),e3),e3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax24) ).
fof(f1739,plain,
( spl4_99
| spl4_4
| spl4_2
| spl4_6
| ~ spl4_79
| ~ spl4_109
| ~ spl4_111 ),
inference(avatar_split_clause,[],[f1711,f926,f906,f686,f332,f312,f322,f817]) ).
fof(f1711,plain,
( e2 = e3
| e0 = e2
| e1 = e2
| e2 = op(e3,e3)
| ~ spl4_79
| ~ spl4_109
| ~ spl4_111 ),
inference(forward_demodulation,[],[f1710,f928]) ).
fof(f1710,plain,
( e0 = e2
| e1 = e2
| e2 = op(e3,e3)
| e2 = op(e0,e3)
| ~ spl4_79
| ~ spl4_109 ),
inference(forward_demodulation,[],[f1709,f908]) ).
fof(f1708,plain,
( spl4_5
| ~ spl4_79
| ~ spl4_121 ),
inference(avatar_split_clause,[],[f1686,f1576,f686,f327]) ).
fof(f1686,plain,
( e1 = e3
| ~ spl4_79
| ~ spl4_121 ),
inference(superposition,[],[f687,f1578]) ).
fof(f1684,plain,
( spl4_5
| ~ spl4_80
| ~ spl4_118 ),
inference(avatar_split_clause,[],[f1682,f1532,f690,f327]) ).
fof(f1682,plain,
( e1 = e3
| ~ spl4_80
| ~ spl4_118 ),
inference(forward_demodulation,[],[f692,f1534]) ).
fof(f1666,plain,
( ~ spl4_95
| ~ spl4_85
| ~ spl4_109 ),
inference(avatar_split_clause,[],[f1601,f906,f713,f766]) ).
fof(f1601,plain,
( e1 != op(e3,e3)
| e2 != op(e0,e3)
| ~ spl4_109 ),
inference(trivial_inequality_removal,[],[f1600]) ).
fof(f1600,plain,
( e0 != e0
| e1 != op(e3,e3)
| e2 != op(e0,e3)
| ~ spl4_109 ),
inference(forward_demodulation,[],[f261,f908]) ).
fof(f261,plain,
( e1 != op(e3,e3)
| e0 != op(e1,e3)
| e2 != op(e0,e3) ),
inference(inner_rewriting,[],[f260]) ).
fof(f260,plain,
( e1 != op(e3,e3)
| e0 != op(e1,e3)
| e2 != op(op(e1,e3),e3) ),
inference(inner_rewriting,[],[f235]) ).
fof(f235,plain,
( e1 != op(e3,e3)
| e0 != op(op(e3,e3),e3)
| e2 != op(op(op(e3,e3),e3),e3) ),
inference(cnf_transformation,[],[f31]) ).
fof(f31,plain,
( e1 != op(e3,e3)
| e0 != op(op(e3,e3),e3)
| e2 != op(op(op(e3,e3),e3),e3) ),
inference(ennf_transformation,[],[f28]) ).
fof(f28,axiom,
~ ( e1 = op(e3,e3)
& e0 = op(op(e3,e3),e3)
& e2 = op(op(op(e3,e3),e3),e3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax28) ).
fof(f1646,plain,
( spl4_6
| ~ spl4_94
| ~ spl4_110 ),
inference(avatar_split_clause,[],[f1292,f922,f762,f332]) ).
fof(f1292,plain,
( e2 = e3
| ~ spl4_94
| ~ spl4_110 ),
inference(forward_demodulation,[],[f924,f764]) ).
fof(f1641,plain,
( spl4_4
| ~ spl4_85
| ~ spl4_99 ),
inference(avatar_split_clause,[],[f1640,f817,f713,f322]) ).
fof(f1640,plain,
( e1 = e2
| ~ spl4_85
| ~ spl4_99 ),
inference(forward_demodulation,[],[f818,f714]) ).
fof(f1639,plain,
( spl4_6
| ~ spl4_115
| ~ spl4_119 ),
inference(avatar_split_clause,[],[f1619,f1566,f1064,f332]) ).
fof(f1619,plain,
( e2 = e3
| ~ spl4_115
| ~ spl4_119 ),
inference(superposition,[],[f1568,f1065]) ).
fof(f1599,plain,
( spl4_6
| ~ spl4_114
| ~ spl4_121 ),
inference(avatar_split_clause,[],[f1593,f1576,f1035,f332]) ).
fof(f1593,plain,
( e2 = e3
| ~ spl4_114
| ~ spl4_121 ),
inference(forward_demodulation,[],[f1578,f1037]) ).
fof(f1595,plain,
( spl4_2
| ~ spl4_84
| ~ spl4_86
| ~ spl4_103
| ~ spl4_119 ),
inference(avatar_split_clause,[],[f1592,f1566,f835,f717,f708,f312]) ).
fof(f1592,plain,
( e0 = e2
| ~ spl4_84
| ~ spl4_86
| ~ spl4_103
| ~ spl4_119 ),
inference(forward_demodulation,[],[f1591,f836]) ).
fof(f1591,plain,
( e2 = op(e2,e2)
| ~ spl4_84
| ~ spl4_86
| ~ spl4_119 ),
inference(forward_demodulation,[],[f1568,f1554]) ).
fof(f1590,plain,
( spl4_6
| ~ spl4_105
| ~ spl4_120 ),
inference(avatar_split_clause,[],[f1581,f1572,f856,f332]) ).
fof(f1581,plain,
( e2 = e3
| ~ spl4_105
| ~ spl4_120 ),
inference(forward_demodulation,[],[f1574,f858]) ).
fof(f1585,plain,
( spl4_12
| ~ spl4_83
| ~ spl4_85
| ~ spl4_115 ),
inference(avatar_split_clause,[],[f1584,f1064,f713,f704,f359]) ).
fof(f1584,plain,
( e1 = op(e1,e1)
| ~ spl4_83
| ~ spl4_85
| ~ spl4_115 ),
inference(forward_demodulation,[],[f714,f1545]) ).
fof(f1583,plain,
( spl4_67
| spl4_73
| spl4_79
| spl4_85 ),
inference(avatar_split_clause,[],[f213,f713,f686,f659,f632]) ).
fof(f213,plain,
( e1 = op(e3,e3)
| e1 = op(e2,e3)
| e1 = op(e1,e3)
| e1 = op(e0,e3) ),
inference(cnf_transformation,[],[f2]) ).
fof(f1579,plain,
( spl4_120
| spl4_80
| spl4_101
| spl4_121 ),
inference(avatar_split_clause,[],[f208,f1576,f826,f690,f1572]) ).
fof(f208,plain,
( e3 = op(e2,e3)
| e3 = op(e2,e2)
| e3 = op(e2,e1)
| e3 = op(e2,e0) ),
inference(cnf_transformation,[],[f2]) ).
fof(f1569,plain,
( spl4_106
| spl4_119
| spl4_99
| spl4_6
| ~ spl4_86 ),
inference(avatar_split_clause,[],[f1511,f717,f332,f817,f1566,f860]) ).
fof(f1511,plain,
( e2 = e3
| e2 = op(e3,e3)
| e2 = op(e3,e2)
| e2 = op(e3,e0)
| ~ spl4_86 ),
inference(forward_demodulation,[],[f214,f719]) ).
fof(f1544,plain,
( spl4_81
| spl4_83
| spl4_85
| spl4_5
| ~ spl4_86 ),
inference(avatar_split_clause,[],[f1475,f717,f327,f713,f704,f695]) ).
fof(f1475,plain,
( e1 = e3
| e1 = op(e3,e3)
| e1 = op(e3,e2)
| e1 = op(e3,e0)
| ~ spl4_86 ),
inference(forward_demodulation,[],[f212,f719]) ).
fof(f1542,plain,
( ~ spl4_88
| spl4_33
| ~ spl4_109 ),
inference(avatar_split_clause,[],[f910,f906,f464,f726]) ).
fof(f464,plain,
( spl4_33
<=> op(e0,e3) = op(e1,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_33])]) ).
fof(f910,plain,
( e0 != op(e0,e3)
| spl4_33
| ~ spl4_109 ),
inference(superposition,[],[f466,f908]) ).
fof(f466,plain,
( op(e0,e3) != op(e1,e3)
| spl4_33 ),
inference(avatar_component_clause,[],[f464]) ).
fof(f1535,plain,
( spl4_118
| spl4_113
| spl4_4
| spl4_1
| ~ spl4_64
| ~ spl4_72 ),
inference(avatar_split_clause,[],[f1478,f654,f618,f307,f322,f1022,f1532]) ).
fof(f1478,plain,
( e0 = e1
| e1 = e2
| e1 = op(e3,e1)
| e1 = op(e2,e1)
| ~ spl4_64
| ~ spl4_72 ),
inference(forward_demodulation,[],[f1477,f620]) ).
fof(f1477,plain,
( e1 = e2
| e1 = op(e3,e1)
| e1 = op(e2,e1)
| e1 = op(e0,e1)
| ~ spl4_72 ),
inference(forward_demodulation,[],[f197,f656]) ).
fof(f1522,plain,
( spl4_110
| spl4_115
| spl4_3
| spl4_5
| ~ spl4_71
| ~ spl4_103 ),
inference(avatar_split_clause,[],[f1470,f835,f650,f327,f317,f1064,f922]) ).
fof(f1470,plain,
( e1 = e3
| e0 = e3
| e3 = op(e3,e2)
| e3 = op(e0,e2)
| ~ spl4_71
| ~ spl4_103 ),
inference(forward_demodulation,[],[f1469,f651]) ).
fof(f1469,plain,
( e0 = e3
| e3 = op(e3,e2)
| e3 = op(e1,e2)
| e3 = op(e0,e2)
| ~ spl4_103 ),
inference(forward_demodulation,[],[f209,f836]) ).
fof(f1508,plain,
( ~ spl4_106
| ~ spl4_63
| ~ spl4_116 ),
inference(avatar_split_clause,[],[f1487,f1069,f614,f860]) ).
fof(f1487,plain,
( e2 != op(e3,e0)
| ~ spl4_63
| ~ spl4_116 ),
inference(trivial_inequality_removal,[],[f1486]) ).
fof(f1503,plain,
( spl4_6
| ~ spl4_95
| ~ spl4_111 ),
inference(avatar_split_clause,[],[f1491,f926,f766,f332]) ).
fof(f1491,plain,
( e2 = e3
| ~ spl4_95
| ~ spl4_111 ),
inference(superposition,[],[f768,f928]) ).
fof(f1468,plain,
( spl4_70
| ~ spl4_63
| ~ spl4_93
| ~ spl4_103 ),
inference(avatar_split_clause,[],[f1467,f835,f758,f614,f645]) ).
fof(f1467,plain,
( e0 = op(e1,e1)
| ~ spl4_63
| ~ spl4_93
| ~ spl4_103 ),
inference(forward_demodulation,[],[f836,f1375]) ).
fof(f1466,plain,
( spl4_11
| ~ spl4_63
| ~ spl4_71
| ~ spl4_93
| ~ spl4_108 ),
inference(avatar_split_clause,[],[f1463,f902,f758,f650,f614,f354]) ).
fof(f354,plain,
( spl4_11
<=> e0 = op(e0,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_11])]) ).
fof(f1463,plain,
( e0 = op(e0,e0)
| ~ spl4_63
| ~ spl4_71
| ~ spl4_93
| ~ spl4_108 ),
inference(forward_demodulation,[],[f1462,f1122]) ).
fof(f1447,plain,
( spl4_5
| spl4_3
| ~ spl4_63
| ~ spl4_64
| ~ spl4_71
| ~ spl4_72
| ~ spl4_93
| ~ spl4_100 ),
inference(avatar_split_clause,[],[f1427,f822,f758,f654,f650,f618,f614,f317,f327]) ).
fof(f1427,plain,
( e0 = e3
| e1 = e3
| ~ spl4_63
| ~ spl4_64
| ~ spl4_71
| ~ spl4_72
| ~ spl4_93
| ~ spl4_100 ),
inference(duplicate_literal_removal,[],[f1426]) ).
fof(f1426,plain,
( e0 = e3
| e1 = e3
| e0 = e3
| ~ spl4_63
| ~ spl4_64
| ~ spl4_71
| ~ spl4_72
| ~ spl4_93
| ~ spl4_100 ),
inference(forward_demodulation,[],[f1425,f620]) ).
fof(f1425,plain,
( e3 = op(e0,e1)
| e1 = e3
| e0 = e3
| ~ spl4_63
| ~ spl4_71
| ~ spl4_72
| ~ spl4_93
| ~ spl4_100 ),
inference(forward_demodulation,[],[f1424,f1375]) ).
fof(f1424,plain,
( e1 = e3
| e0 = e3
| e3 = op(e0,e2)
| ~ spl4_63
| ~ spl4_71
| ~ spl4_72
| ~ spl4_93
| ~ spl4_100 ),
inference(duplicate_literal_removal,[],[f1423]) ).
fof(f1423,plain,
( e1 = e3
| e1 = e3
| e0 = e3
| e3 = op(e0,e2)
| ~ spl4_63
| ~ spl4_71
| ~ spl4_72
| ~ spl4_93
| ~ spl4_100 ),
inference(forward_demodulation,[],[f1422,f1375]) ).
fof(f1422,plain,
( e2 = e3
| e1 = e3
| e0 = e3
| e3 = op(e0,e2)
| ~ spl4_63
| ~ spl4_71
| ~ spl4_72
| ~ spl4_93
| ~ spl4_100 ),
inference(forward_demodulation,[],[f1421,f656]) ).
fof(f1421,plain,
( e3 = op(e1,e1)
| e1 = e3
| e0 = e3
| e3 = op(e0,e2)
| ~ spl4_63
| ~ spl4_71
| ~ spl4_93
| ~ spl4_100 ),
inference(forward_demodulation,[],[f1351,f1375]) ).
fof(f1419,plain,
( spl4_3
| ~ spl4_76
| ~ spl4_80 ),
inference(avatar_split_clause,[],[f1414,f690,f672,f317]) ).
fof(f1414,plain,
( e0 = e3
| ~ spl4_76
| ~ spl4_80 ),
inference(forward_demodulation,[],[f692,f674]) ).
fof(f1412,plain,
( spl4_2
| ~ spl4_76
| ~ spl4_78 ),
inference(avatar_split_clause,[],[f1410,f681,f672,f312]) ).
fof(f1410,plain,
( e0 = e2
| ~ spl4_76
| ~ spl4_78 ),
inference(forward_demodulation,[],[f683,f674]) ).
fof(f1407,plain,
( spl4_77
| spl4_79
| spl4_1
| ~ spl4_76
| ~ spl4_90 ),
inference(avatar_split_clause,[],[f1369,f738,f672,f307,f686,f677]) ).
fof(f1369,plain,
( e0 = e1
| e1 = op(e2,e3)
| e1 = op(e2,e2)
| ~ spl4_76
| ~ spl4_90 ),
inference(duplicate_literal_removal,[],[f1368]) ).
fof(f1368,plain,
( e0 = e1
| e0 = e1
| e1 = op(e2,e3)
| e1 = op(e2,e2)
| ~ spl4_76
| ~ spl4_90 ),
inference(forward_demodulation,[],[f1367,f740]) ).
fof(f1396,plain,
( spl4_86
| spl4_5
| spl4_3
| ~ spl4_63
| ~ spl4_64
| ~ spl4_72
| ~ spl4_76
| ~ spl4_93 ),
inference(avatar_split_clause,[],[f1391,f758,f672,f654,f618,f614,f317,f327,f717]) ).
fof(f1391,plain,
( e0 = e3
| e1 = e3
| e3 = op(e3,e1)
| ~ spl4_63
| ~ spl4_64
| ~ spl4_72
| ~ spl4_76
| ~ spl4_93 ),
inference(duplicate_literal_removal,[],[f1390]) ).
fof(f1390,plain,
( e0 = e3
| e1 = e3
| e0 = e3
| e3 = op(e3,e1)
| ~ spl4_63
| ~ spl4_64
| ~ spl4_72
| ~ spl4_76
| ~ spl4_93 ),
inference(forward_demodulation,[],[f1389,f620]) ).
fof(f1389,plain,
( e1 = e3
| e0 = e3
| e3 = op(e3,e1)
| e3 = op(e0,e1)
| ~ spl4_63
| ~ spl4_72
| ~ spl4_76
| ~ spl4_93 ),
inference(forward_demodulation,[],[f1388,f1375]) ).
fof(f1388,plain,
( e2 = e3
| e0 = e3
| e3 = op(e3,e1)
| e3 = op(e0,e1)
| ~ spl4_72
| ~ spl4_76 ),
inference(forward_demodulation,[],[f1387,f656]) ).
fof(f1387,plain,
( e0 = e3
| e3 = op(e3,e1)
| e3 = op(e1,e1)
| e3 = op(e0,e1)
| ~ spl4_76 ),
inference(forward_demodulation,[],[f201,f674]) ).
fof(f201,plain,
( e3 = op(e3,e1)
| e3 = op(e2,e1)
| e3 = op(e1,e1)
| e3 = op(e0,e1) ),
inference(cnf_transformation,[],[f2]) ).
fof(f1384,plain,
( spl4_5
| spl4_6
| spl4_3
| ~ spl4_64
| ~ spl4_72
| ~ spl4_76
| ~ spl4_113 ),
inference(avatar_split_clause,[],[f1366,f1022,f672,f654,f618,f317,f332,f327]) ).
fof(f1366,plain,
( e0 = e3
| e2 = e3
| e1 = e3
| ~ spl4_64
| ~ spl4_72
| ~ spl4_76
| ~ spl4_113 ),
inference(duplicate_literal_removal,[],[f1365]) ).
fof(f1365,plain,
( e0 = e3
| e2 = e3
| e0 = e3
| e1 = e3
| ~ spl4_64
| ~ spl4_72
| ~ spl4_76
| ~ spl4_113 ),
inference(forward_demodulation,[],[f1131,f620]) ).
fof(f1131,plain,
( e2 = e3
| e0 = e3
| e1 = e3
| e3 = op(e0,e1)
| ~ spl4_72
| ~ spl4_76
| ~ spl4_113 ),
inference(forward_demodulation,[],[f1130,f656]) ).
fof(f1130,plain,
( e0 = e3
| e1 = e3
| e3 = op(e1,e1)
| e3 = op(e0,e1)
| ~ spl4_76
| ~ spl4_113 ),
inference(forward_demodulation,[],[f1129,f674]) ).
fof(f1129,plain,
( e1 = e3
| e3 = op(e2,e1)
| e3 = op(e1,e1)
| e3 = op(e0,e1)
| ~ spl4_113 ),
inference(forward_demodulation,[],[f201,f1024]) ).
fof(f1361,plain,
( spl4_1
| ~ spl4_64
| ~ spl4_92 ),
inference(avatar_split_clause,[],[f1322,f749,f618,f307]) ).
fof(f1322,plain,
( e0 = e1
| ~ spl4_64
| ~ spl4_92 ),
inference(superposition,[],[f620,f751]) ).
fof(f1325,plain,
( ~ spl4_75
| ~ spl4_93
| ~ spl4_116 ),
inference(avatar_split_clause,[],[f1309,f1069,f758,f668]) ).
fof(f1309,plain,
( e1 != op(e2,e0)
| ~ spl4_93
| ~ spl4_116 ),
inference(trivial_inequality_removal,[],[f1308]) ).
fof(f1308,plain,
( e2 != e2
| e1 != op(e2,e0)
| ~ spl4_93
| ~ spl4_116 ),
inference(forward_demodulation,[],[f1258,f760]) ).
fof(f1258,plain,
( op(e0,e0) != e2
| e1 != op(e2,e0)
| ~ spl4_116 ),
inference(trivial_inequality_removal,[],[f1257]) ).
fof(f1311,plain,
( spl4_87
| ~ spl4_89
| ~ spl4_110
| ~ spl4_116 ),
inference(avatar_split_clause,[],[f1299,f1069,f922,f734,f722]) ).
fof(f1299,plain,
( e0 = op(e0,e2)
| ~ spl4_89
| ~ spl4_110
| ~ spl4_116 ),
inference(forward_demodulation,[],[f924,f1271]) ).
fof(f1307,plain,
( ~ spl4_93
| ~ spl4_89
| spl4_106
| ~ spl4_116 ),
inference(avatar_split_clause,[],[f1295,f1069,f860,f734,f758]) ).
fof(f1295,plain,
( op(e0,e0) != e2
| ~ spl4_89
| spl4_106
| ~ spl4_116 ),
inference(forward_demodulation,[],[f861,f1271]) ).
fof(f861,plain,
( e2 != op(e3,e0)
| spl4_106 ),
inference(avatar_component_clause,[],[f860]) ).
fof(f1298,plain,
( spl4_2
| ~ spl4_89
| ~ spl4_94
| ~ spl4_110
| ~ spl4_116 ),
inference(avatar_split_clause,[],[f1293,f1069,f922,f762,f734,f312]) ).
fof(f1293,plain,
( e0 = e2
| ~ spl4_89
| ~ spl4_94
| ~ spl4_110
| ~ spl4_116 ),
inference(forward_demodulation,[],[f1292,f1271]) ).
fof(f1291,plain,
( spl4_2
| ~ spl4_89
| ~ spl4_106
| ~ spl4_107
| ~ spl4_116 ),
inference(avatar_split_clause,[],[f1288,f1069,f883,f860,f734,f312]) ).
fof(f1288,plain,
( e0 = e2
| ~ spl4_89
| ~ spl4_106
| ~ spl4_107
| ~ spl4_116 ),
inference(forward_demodulation,[],[f1287,f1286]) ).
fof(f1286,plain,
( e0 = op(e0,e0)
| ~ spl4_89
| ~ spl4_107
| ~ spl4_116 ),
inference(forward_demodulation,[],[f884,f1271]) ).
fof(f1287,plain,
( op(e0,e0) = e2
| ~ spl4_89
| ~ spl4_106
| ~ spl4_116 ),
inference(forward_demodulation,[],[f862,f1271]) ).
fof(f1277,plain,
( spl4_5
| ~ spl4_68
| ~ spl4_92 ),
inference(avatar_split_clause,[],[f1222,f749,f636,f327]) ).
fof(f1222,plain,
( e1 = e3
| ~ spl4_68
| ~ spl4_92 ),
inference(superposition,[],[f751,f638]) ).
fof(f1256,plain,
( spl4_2
| ~ spl4_68
| ~ spl4_89
| ~ spl4_92
| ~ spl4_106 ),
inference(avatar_split_clause,[],[f1249,f860,f749,f734,f636,f312]) ).
fof(f1249,plain,
( e0 = e2
| ~ spl4_68
| ~ spl4_89
| ~ spl4_92
| ~ spl4_106 ),
inference(forward_demodulation,[],[f1242,f736]) ).
fof(f1242,plain,
( e2 = op(e1,e0)
| ~ spl4_68
| ~ spl4_92
| ~ spl4_106 ),
inference(forward_demodulation,[],[f862,f1222]) ).
fof(f1248,plain,
( spl4_2
| ~ spl4_88
| ~ spl4_95 ),
inference(avatar_split_clause,[],[f1191,f766,f726,f312]) ).
fof(f1191,plain,
( e0 = e2
| ~ spl4_88
| ~ spl4_95 ),
inference(forward_demodulation,[],[f768,f728]) ).
fof(f1236,plain,
( spl4_2
| ~ spl4_91
| ~ spl4_106 ),
inference(avatar_split_clause,[],[f1218,f860,f742,f312]) ).
fof(f1218,plain,
( e0 = e2
| ~ spl4_91
| ~ spl4_106 ),
inference(forward_demodulation,[],[f862,f744]) ).
fof(f1228,plain,
( ~ spl4_116
| ~ spl4_70
| ~ spl4_72
| spl4_102 ),
inference(avatar_split_clause,[],[f1219,f831,f654,f645,f1069]) ).
fof(f1219,plain,
( e3 != op(e1,e0)
| ~ spl4_70
| ~ spl4_72
| spl4_102 ),
inference(forward_demodulation,[],[f833,f1142]) ).
fof(f833,plain,
( e3 != op(e1,e2)
| spl4_102 ),
inference(avatar_component_clause,[],[f831]) ).
fof(f1197,plain,
( spl4_4
| ~ spl4_69
| ~ spl4_104 ),
inference(avatar_split_clause,[],[f1138,f852,f641,f322]) ).
fof(f1138,plain,
( e1 = e2
| ~ spl4_69
| ~ spl4_104 ),
inference(superposition,[],[f642,f854]) ).
fof(f1193,plain,
( spl4_1
| ~ spl4_67
| ~ spl4_88 ),
inference(avatar_split_clause,[],[f1177,f726,f632,f307]) ).
fof(f1177,plain,
( e0 = e1
| ~ spl4_67
| ~ spl4_88 ),
inference(forward_demodulation,[],[f633,f728]) ).
fof(f1179,plain,
( spl4_5
| ~ spl4_68
| ~ spl4_69
| ~ spl4_94
| ~ spl4_104 ),
inference(avatar_split_clause,[],[f1176,f852,f762,f641,f636,f327]) ).
fof(f1176,plain,
( e1 = e3
| ~ spl4_68
| ~ spl4_69
| ~ spl4_94
| ~ spl4_104 ),
inference(forward_demodulation,[],[f638,f1175]) ).
fof(f1175,plain,
( e1 = op(e0,e1)
| ~ spl4_69
| ~ spl4_94
| ~ spl4_104 ),
inference(forward_demodulation,[],[f764,f1138]) ).
fof(f1162,plain,
( spl4_5
| spl4_3
| spl4_6
| ~ spl4_66
| ~ spl4_72
| ~ spl4_76
| ~ spl4_113 ),
inference(avatar_split_clause,[],[f1133,f1022,f672,f654,f627,f332,f317,f327]) ).
fof(f1133,plain,
( e2 = e3
| e0 = e3
| e1 = e3
| ~ spl4_66
| ~ spl4_72
| ~ spl4_76
| ~ spl4_113 ),
inference(duplicate_literal_removal,[],[f1132]) ).
fof(f1132,plain,
( e2 = e3
| e2 = e3
| e0 = e3
| e1 = e3
| ~ spl4_66
| ~ spl4_72
| ~ spl4_76
| ~ spl4_113 ),
inference(forward_demodulation,[],[f1131,f629]) ).
fof(f1137,plain,
( spl4_3
| ~ spl4_102
| ~ spl4_108 ),
inference(avatar_split_clause,[],[f1134,f902,f831,f317]) ).
fof(f1134,plain,
( e0 = e3
| ~ spl4_102
| ~ spl4_108 ),
inference(forward_demodulation,[],[f832,f904]) ).
fof(f1128,plain,
( spl4_6
| ~ spl4_72
| ~ spl4_74 ),
inference(avatar_split_clause,[],[f1110,f663,f654,f332]) ).
fof(f1110,plain,
( e2 = e3
| ~ spl4_72
| ~ spl4_74 ),
inference(superposition,[],[f656,f665]) ).
fof(f1118,plain,
( spl4_103
| ~ spl4_72
| ~ spl4_74
| ~ spl4_100 ),
inference(avatar_split_clause,[],[f1117,f822,f663,f654,f835]) ).
fof(f1117,plain,
( e0 = op(e2,e2)
| ~ spl4_72
| ~ spl4_74
| ~ spl4_100 ),
inference(forward_demodulation,[],[f823,f1110]) ).
fof(f1116,plain,
( spl4_87
| spl4_108
| spl4_103
| spl4_100 ),
inference(avatar_split_clause,[],[f203,f822,f835,f902,f722]) ).
fof(f203,plain,
( e0 = op(e3,e2)
| e0 = op(e2,e2)
| e0 = op(e1,e2)
| e0 = op(e0,e2) ),
inference(cnf_transformation,[],[f2]) ).
fof(f1109,plain,
( ~ spl4_7
| spl4_6
| ~ spl4_104
| ~ spl4_109 ),
inference(avatar_split_clause,[],[f1108,f906,f852,f332,f337]) ).
fof(f1108,plain,
( e2 = e3
| ~ sP0
| ~ spl4_104
| ~ spl4_109 ),
inference(trivial_inequality_removal,[],[f1107]) ).
fof(f1107,plain,
( e0 != e0
| e2 = e3
| ~ sP0
| ~ spl4_104
| ~ spl4_109 ),
inference(forward_demodulation,[],[f1106,f908]) ).
fof(f1106,plain,
( e2 = e3
| e0 != op(e1,e3)
| ~ sP0
| ~ spl4_104 ),
inference(forward_demodulation,[],[f124,f854]) ).
fof(f124,plain,
( e3 = op(e1,e0)
| e0 != op(e1,e3)
| ~ sP0 ),
inference(cnf_transformation,[],[f62]) ).
fof(f1105,plain,
( ~ spl4_9
| spl4_1
| ~ spl4_71
| ~ spl4_104 ),
inference(avatar_split_clause,[],[f1101,f852,f650,f307,f345]) ).
fof(f1101,plain,
( e0 = e1
| ~ sP2
| ~ spl4_71
| ~ spl4_104 ),
inference(trivial_inequality_removal,[],[f1100]) ).
fof(f1100,plain,
( e2 != e2
| e0 = e1
| ~ sP2
| ~ spl4_71
| ~ spl4_104 ),
inference(forward_demodulation,[],[f1099,f854]) ).
fof(f1099,plain,
( e0 = e1
| e2 != op(e1,e0)
| ~ sP2
| ~ spl4_71 ),
inference(forward_demodulation,[],[f89,f651]) ).
fof(f89,plain,
( e0 = op(e1,e2)
| e2 != op(e1,e0)
| ~ sP2 ),
inference(cnf_transformation,[],[f60]) ).
fof(f1098,plain,
( ~ spl4_10
| ~ spl4_74
| spl4_1
| ~ spl4_109 ),
inference(avatar_split_clause,[],[f1089,f906,f307,f663,f349]) ).
fof(f1089,plain,
( e0 = e1
| e3 != op(e1,e1)
| ~ sP3
| ~ spl4_109 ),
inference(forward_demodulation,[],[f74,f908]) ).
fof(f1088,plain,
( spl4_3
| ~ spl4_109
| ~ spl4_117 ),
inference(avatar_split_clause,[],[f1086,f1073,f906,f317]) ).
fof(f1086,plain,
( e0 = e3
| ~ spl4_109
| ~ spl4_117 ),
inference(forward_demodulation,[],[f1075,f908]) ).
fof(f1085,plain,
( spl4_6
| ~ spl4_104
| ~ spl4_116 ),
inference(avatar_split_clause,[],[f1083,f1069,f852,f332]) ).
fof(f1083,plain,
( e2 = e3
| ~ spl4_104
| ~ spl4_116 ),
inference(forward_demodulation,[],[f1071,f854]) ).
fof(f1082,plain,
( spl4_5
| ~ spl4_71
| ~ spl4_102 ),
inference(avatar_split_clause,[],[f1081,f831,f650,f327]) ).
fof(f1081,plain,
( e1 = e3
| ~ spl4_71
| ~ spl4_102 ),
inference(forward_demodulation,[],[f832,f651]) ).
fof(f1076,plain,
( spl4_116
| spl4_74
| spl4_102
| spl4_117 ),
inference(avatar_split_clause,[],[f200,f1073,f831,f663,f1069]) ).
fof(f200,plain,
( e3 = op(e1,e3)
| e3 = op(e1,e2)
| e3 = op(e1,e1)
| e3 = op(e1,e0) ),
inference(cnf_transformation,[],[f2]) ).
fof(f1067,plain,
( ~ spl4_10
| ~ spl4_115
| spl4_99 ),
inference(avatar_split_clause,[],[f83,f817,f1064,f349]) ).
fof(f83,plain,
( e2 = op(e3,e3)
| e3 != op(e3,e2)
| ~ sP3 ),
inference(cnf_transformation,[],[f59]) ).
fof(f1061,plain,
( ~ spl4_93
| spl4_39
| ~ spl4_66 ),
inference(avatar_split_clause,[],[f795,f627,f494,f758]) ).
fof(f494,plain,
( spl4_39
<=> op(e0,e0) = op(e0,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_39])]) ).
fof(f795,plain,
( op(e0,e0) != e2
| spl4_39
| ~ spl4_66 ),
inference(superposition,[],[f496,f629]) ).
fof(f496,plain,
( op(e0,e0) != op(e0,e1)
| spl4_39 ),
inference(avatar_component_clause,[],[f494]) ).
fof(f1047,plain,
( spl4_69
| spl4_12
| spl4_71
| spl4_1
| ~ spl4_109 ),
inference(avatar_split_clause,[],[f1005,f906,f307,f650,f359,f641]) ).
fof(f1005,plain,
( e0 = e1
| e1 = op(e1,e2)
| e1 = op(e1,e1)
| e1 = op(e1,e0)
| ~ spl4_109 ),
inference(forward_demodulation,[],[f196,f908]) ).
fof(f1038,plain,
( spl4_13
| spl4_114
| spl4_2
| spl4_4
| ~ spl4_75
| ~ spl4_76 ),
inference(avatar_split_clause,[],[f1016,f672,f668,f322,f312,f1035,f364]) ).
fof(f1016,plain,
( e1 = e2
| e0 = e2
| e2 = op(e2,e3)
| e2 = op(e2,e2)
| ~ spl4_75
| ~ spl4_76 ),
inference(forward_demodulation,[],[f1015,f669]) ).
fof(f1025,plain,
( spl4_12
| spl4_113
| spl4_1
| spl4_4
| ~ spl4_66
| ~ spl4_76 ),
inference(avatar_split_clause,[],[f1013,f672,f627,f322,f307,f1022,f359]) ).
fof(f1013,plain,
( e1 = e2
| e0 = e1
| e1 = op(e3,e1)
| e1 = op(e1,e1)
| ~ spl4_66
| ~ spl4_76 ),
inference(forward_demodulation,[],[f1012,f629]) ).
fof(f1012,plain,
( e0 = e1
| e1 = op(e3,e1)
| e1 = op(e1,e1)
| e1 = op(e0,e1)
| ~ spl4_76 ),
inference(forward_demodulation,[],[f197,f674]) ).
fof(f1010,plain,
( spl4_12
| ~ spl4_72
| ~ spl4_75
| ~ spl4_105 ),
inference(avatar_split_clause,[],[f1009,f856,f668,f654,f359]) ).
fof(f1009,plain,
( e1 = op(e1,e1)
| ~ spl4_72
| ~ spl4_75
| ~ spl4_105 ),
inference(forward_demodulation,[],[f656,f983]) ).
fof(f1001,plain,
( spl4_69
| ~ spl4_75
| ~ spl4_104
| ~ spl4_105 ),
inference(avatar_split_clause,[],[f1000,f856,f852,f668,f641]) ).
fof(f1000,plain,
( e1 = op(e1,e0)
| ~ spl4_75
| ~ spl4_104
| ~ spl4_105 ),
inference(forward_demodulation,[],[f854,f983]) ).
fof(f996,plain,
( spl4_104
| spl4_72
| spl4_112
| spl4_2
| ~ spl4_109 ),
inference(avatar_split_clause,[],[f941,f906,f312,f993,f654,f852]) ).
fof(f941,plain,
( e0 = e2
| e2 = op(e1,e2)
| e2 = op(e1,e1)
| e2 = op(e1,e0)
| ~ spl4_109 ),
inference(forward_demodulation,[],[f198,f908]) ).
fof(f982,plain,
( spl4_69
| spl4_75
| spl4_1
| spl4_5
| ~ spl4_91
| ~ spl4_107 ),
inference(avatar_split_clause,[],[f959,f883,f742,f327,f307,f668,f641]) ).
fof(f959,plain,
( e1 = e3
| e0 = e1
| e1 = op(e2,e0)
| e1 = op(e1,e0)
| ~ spl4_91
| ~ spl4_107 ),
inference(forward_demodulation,[],[f888,f884]) ).
fof(f970,plain,
( spl4_5
| ~ spl4_65
| ~ spl4_110 ),
inference(avatar_split_clause,[],[f968,f922,f623,f327]) ).
fof(f968,plain,
( e1 = e3
| ~ spl4_65
| ~ spl4_110 ),
inference(forward_demodulation,[],[f924,f624]) ).
fof(f962,plain,
( spl4_6
| ~ spl4_93
| ~ spl4_107 ),
inference(avatar_split_clause,[],[f946,f883,f758,f332]) ).
fof(f946,plain,
( e2 = e3
| ~ spl4_93
| ~ spl4_107 ),
inference(superposition,[],[f760,f884]) ).
fof(f950,plain,
( spl4_69
| spl4_81
| spl4_1
| spl4_5
| ~ spl4_90
| ~ spl4_107 ),
inference(avatar_split_clause,[],[f940,f883,f738,f327,f307,f695,f641]) ).
fof(f940,plain,
( e1 = e3
| e0 = e1
| e1 = op(e3,e0)
| e1 = op(e1,e0)
| ~ spl4_90
| ~ spl4_107 ),
inference(forward_demodulation,[],[f939,f884]) ).
fof(f944,plain,
( spl4_2
| ~ spl4_90
| ~ spl4_105 ),
inference(avatar_split_clause,[],[f942,f856,f738,f312]) ).
fof(f942,plain,
( e0 = e2
| ~ spl4_90
| ~ spl4_105 ),
inference(forward_demodulation,[],[f858,f740]) ).
fof(f938,plain,
( spl4_63
| spl4_81
| spl4_4
| spl4_1
| ~ spl4_90
| ~ spl4_104 ),
inference(avatar_split_clause,[],[f933,f852,f738,f307,f322,f695,f614]) ).
fof(f933,plain,
( e0 = e1
| e1 = e2
| e1 = op(e3,e0)
| op(e0,e0) = e1
| ~ spl4_90
| ~ spl4_104 ),
inference(forward_demodulation,[],[f896,f740]) ).
fof(f896,plain,
( e1 = e2
| e1 = op(e3,e0)
| e1 = op(e2,e0)
| op(e0,e0) = e1
| ~ spl4_104 ),
inference(forward_demodulation,[],[f189,f854]) ).
fof(f932,plain,
( spl4_3
| ~ spl4_88
| ~ spl4_111 ),
inference(avatar_split_clause,[],[f930,f926,f726,f317]) ).
fof(f930,plain,
( e0 = e3
| ~ spl4_88
| ~ spl4_111 ),
inference(forward_demodulation,[],[f928,f728]) ).
fof(f929,plain,
( spl4_107
| spl4_68
| spl4_110
| spl4_111 ),
inference(avatar_split_clause,[],[f192,f926,f922,f636,f883]) ).
fof(f192,plain,
( e3 = op(e0,e3)
| e3 = op(e0,e2)
| e3 = op(e0,e1)
| op(e0,e0) = e3 ),
inference(cnf_transformation,[],[f2]) ).
fof(f916,plain,
( spl4_81
| spl4_83
| spl4_85
| spl4_1
| ~ spl4_82 ),
inference(avatar_split_clause,[],[f891,f699,f307,f713,f704,f695]) ).
fof(f891,plain,
( e0 = e1
| e1 = op(e3,e3)
| e1 = op(e3,e2)
| e1 = op(e3,e0)
| ~ spl4_82 ),
inference(forward_demodulation,[],[f212,f701]) ).
fof(f909,plain,
( spl4_70
| spl4_108
| spl4_109
| spl4_2
| ~ spl4_104 ),
inference(avatar_split_clause,[],[f873,f852,f312,f906,f902,f645]) ).
fof(f873,plain,
( e0 = e2
| e0 = op(e1,e3)
| e0 = op(e1,e2)
| e0 = op(e1,e1)
| ~ spl4_104 ),
inference(forward_demodulation,[],[f194,f854]) ).
fof(f895,plain,
( spl4_83
| spl4_85
| spl4_1
| ~ spl4_82
| ~ spl4_91 ),
inference(avatar_split_clause,[],[f893,f742,f699,f307,f713,f704]) ).
fof(f893,plain,
( e0 = e1
| e1 = op(e3,e3)
| e1 = op(e3,e2)
| ~ spl4_82
| ~ spl4_91 ),
inference(duplicate_literal_removal,[],[f892]) ).
fof(f892,plain,
( e0 = e1
| e0 = e1
| e1 = op(e3,e3)
| e1 = op(e3,e2)
| ~ spl4_82
| ~ spl4_91 ),
inference(forward_demodulation,[],[f891,f744]) ).
fof(f887,plain,
( spl4_1
| ~ spl4_81
| ~ spl4_91 ),
inference(avatar_split_clause,[],[f874,f742,f695,f307]) ).
fof(f874,plain,
( e0 = e1
| ~ spl4_81
| ~ spl4_91 ),
inference(superposition,[],[f744,f696]) ).
fof(f886,plain,
( ~ spl4_81
| ~ spl4_107
| ~ spl4_104 ),
inference(avatar_split_clause,[],[f872,f852,f883,f695]) ).
fof(f872,plain,
( op(e0,e0) != e3
| e1 != op(e3,e0)
| ~ spl4_104 ),
inference(trivial_inequality_removal,[],[f871]) ).
fof(f870,plain,
( spl4_2
| ~ spl4_89
| ~ spl4_104 ),
inference(avatar_split_clause,[],[f869,f852,f734,f312]) ).
fof(f869,plain,
( e0 = e2
| ~ spl4_89
| ~ spl4_104 ),
inference(forward_demodulation,[],[f854,f736]) ).
fof(f867,plain,
( spl4_4
| ~ spl4_81
| ~ spl4_106 ),
inference(avatar_split_clause,[],[f864,f860,f695,f322]) ).
fof(f864,plain,
( e1 = e2
| ~ spl4_81
| ~ spl4_106 ),
inference(forward_demodulation,[],[f862,f696]) ).
fof(f863,plain,
( spl4_93
| spl4_104
| spl4_105
| spl4_106 ),
inference(avatar_split_clause,[],[f191,f860,f856,f852,f758]) ).
fof(f191,plain,
( e2 = op(e3,e0)
| e2 = op(e2,e0)
| e2 = op(e1,e0)
| op(e0,e0) = e2 ),
inference(cnf_transformation,[],[f2]) ).
fof(f839,plain,
( spl4_63
| spl4_75
| spl4_81
| spl4_1
| ~ spl4_89 ),
inference(avatar_split_clause,[],[f773,f734,f307,f695,f668,f614]) ).
fof(f773,plain,
( e0 = e1
| e1 = op(e3,e0)
| e1 = op(e2,e0)
| op(e0,e0) = e1
| ~ spl4_89 ),
inference(forward_demodulation,[],[f189,f736]) ).
fof(f838,plain,
( ~ spl4_102
| ~ spl4_65
| ~ spl4_103 ),
inference(avatar_split_clause,[],[f293,f835,f623,f831]) ).
fof(f293,plain,
( e0 != op(e2,e2)
| e1 != op(e0,e2)
| e3 != op(e1,e2) ),
inference(inner_rewriting,[],[f292]) ).
fof(f292,plain,
( e0 != op(e2,e2)
| e1 != op(e0,e2)
| e3 != op(op(e0,e2),e2) ),
inference(inner_rewriting,[],[f251]) ).
fof(f251,plain,
( e0 != op(e2,e2)
| e1 != op(op(e2,e2),e2)
| e3 != op(op(op(e2,e2),e2),e2) ),
inference(cnf_transformation,[],[f47]) ).
fof(f47,plain,
( e0 != op(e2,e2)
| e1 != op(op(e2,e2),e2)
| e3 != op(op(op(e2,e2),e2),e2) ),
inference(ennf_transformation,[],[f23]) ).
fof(f23,axiom,
~ ( e0 = op(e2,e2)
& e1 = op(op(e2,e2),e2)
& e3 = op(op(op(e2,e2),e2),e2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax23) ).
fof(f829,plain,
( ~ spl4_65
| ~ spl4_100
| ~ spl4_101 ),
inference(avatar_split_clause,[],[f287,f826,f822,f623]) ).
fof(f287,plain,
( e3 != op(e2,e2)
| e0 != op(e3,e2)
| e1 != op(e0,e2) ),
inference(inner_rewriting,[],[f286]) ).
fof(f286,plain,
( e3 != op(e2,e2)
| e0 != op(e3,e2)
| e1 != op(op(e3,e2),e2) ),
inference(inner_rewriting,[],[f248]) ).
fof(f248,plain,
( e3 != op(e2,e2)
| e0 != op(op(e2,e2),e2)
| e1 != op(op(op(e2,e2),e2),e2) ),
inference(cnf_transformation,[],[f44]) ).
fof(f44,plain,
( e3 != op(e2,e2)
| e0 != op(op(e2,e2),e2)
| e1 != op(op(op(e2,e2),e2),e2) ),
inference(ennf_transformation,[],[f20]) ).
fof(f20,axiom,
~ ( e3 = op(e2,e2)
& e0 = op(op(e2,e2),e2)
& e1 = op(op(op(e2,e2),e2),e2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax20) ).
fof(f820,plain,
( ~ spl4_67
| ~ spl4_98
| ~ spl4_99 ),
inference(avatar_split_clause,[],[f265,f817,f813,f632]) ).
fof(f265,plain,
( e2 != op(e3,e3)
| e0 != op(e2,e3)
| e1 != op(e0,e3) ),
inference(inner_rewriting,[],[f264]) ).
fof(f264,plain,
( e2 != op(e3,e3)
| e0 != op(e2,e3)
| e1 != op(op(e2,e3),e3) ),
inference(inner_rewriting,[],[f237]) ).
fof(f237,plain,
( e2 != op(e3,e3)
| e0 != op(op(e3,e3),e3)
| e1 != op(op(op(e3,e3),e3),e3) ),
inference(cnf_transformation,[],[f33]) ).
fof(f33,plain,
( e2 != op(e3,e3)
| e0 != op(op(e3,e3),e3)
| e1 != op(op(op(e3,e3),e3),e3) ),
inference(ennf_transformation,[],[f26]) ).
fof(f26,axiom,
~ ( e2 = op(e3,e3)
& e0 = op(op(e3,e3),e3)
& e1 = op(op(op(e3,e3),e3),e3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax26) ).
fof(f811,plain,
( ~ spl4_96
| ~ spl4_67
| ~ spl4_97 ),
inference(avatar_split_clause,[],[f259,f808,f632,f804]) ).
fof(f259,plain,
( e0 != op(e3,e3)
| e1 != op(e0,e3)
| e2 != op(e1,e3) ),
inference(inner_rewriting,[],[f258]) ).
fof(f258,plain,
( e0 != op(e3,e3)
| e1 != op(e0,e3)
| e2 != op(op(e0,e3),e3) ),
inference(inner_rewriting,[],[f234]) ).
fof(f234,plain,
( e0 != op(e3,e3)
| e1 != op(op(e3,e3),e3)
| e2 != op(op(op(e3,e3),e3),e3) ),
inference(cnf_transformation,[],[f30]) ).
fof(f30,plain,
( e0 != op(e3,e3)
| e1 != op(op(e3,e3),e3)
| e2 != op(op(op(e3,e3),e3),e3) ),
inference(ennf_transformation,[],[f29]) ).
fof(f29,axiom,
~ ( e0 = op(e3,e3)
& e1 = op(op(e3,e3),e3)
& e2 = op(op(op(e3,e3),e3),e3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax29) ).
fof(f789,plain,
( spl4_6
| ~ spl4_66
| ~ spl4_68 ),
inference(avatar_split_clause,[],[f785,f636,f627,f332]) ).
fof(f785,plain,
( e2 = e3
| ~ spl4_66
| ~ spl4_68 ),
inference(forward_demodulation,[],[f638,f629]) ).
fof(f784,plain,
( ~ spl4_9
| spl4_1
| ~ spl4_66
| ~ spl4_87 ),
inference(avatar_split_clause,[],[f781,f722,f627,f307,f345]) ).
fof(f781,plain,
( e0 = e1
| ~ sP2
| ~ spl4_66
| ~ spl4_87 ),
inference(trivial_inequality_removal,[],[f780]) ).
fof(f780,plain,
( e2 != e2
| e0 = e1
| ~ sP2
| ~ spl4_66
| ~ spl4_87 ),
inference(forward_demodulation,[],[f779,f629]) ).
fof(f779,plain,
( e0 = e1
| e2 != op(e0,e1)
| ~ sP2
| ~ spl4_87 ),
inference(forward_demodulation,[],[f86,f724]) ).
fof(f778,plain,
( spl4_1
| ~ spl4_65
| ~ spl4_87 ),
inference(avatar_split_clause,[],[f775,f722,f623,f307]) ).
fof(f775,plain,
( e0 = e1
| ~ spl4_65
| ~ spl4_87 ),
inference(forward_demodulation,[],[f624,f724]) ).
fof(f772,plain,
( spl4_2
| ~ spl4_64
| ~ spl4_66 ),
inference(avatar_split_clause,[],[f771,f627,f618,f312]) ).
fof(f771,plain,
( e0 = e2
| ~ spl4_64
| ~ spl4_66 ),
inference(forward_demodulation,[],[f629,f620]) ).
fof(f769,plain,
( spl4_93
| spl4_66
| spl4_94
| spl4_95 ),
inference(avatar_split_clause,[],[f190,f766,f762,f627,f758]) ).
fof(f190,plain,
( e2 = op(e0,e3)
| e2 = op(e0,e2)
| e2 = op(e0,e1)
| op(e0,e0) = e2 ),
inference(cnf_transformation,[],[f2]) ).
fof(f752,plain,
( spl4_63
| spl4_92
| spl4_65
| spl4_67 ),
inference(avatar_split_clause,[],[f188,f632,f623,f749,f614]) ).
fof(f188,plain,
( e1 = op(e0,e3)
| e1 = op(e0,e2)
| e1 = op(e0,e1)
| op(e0,e0) = e1 ),
inference(cnf_transformation,[],[f2]) ).
fof(f745,plain,
( spl4_11
| spl4_89
| spl4_90
| spl4_91 ),
inference(avatar_split_clause,[],[f187,f742,f738,f734,f354]) ).
fof(f187,plain,
( e0 = op(e3,e0)
| e0 = op(e2,e0)
| e0 = op(e1,e0)
| e0 = op(e0,e0) ),
inference(cnf_transformation,[],[f2]) ).
fof(f729,plain,
( spl4_11
| spl4_64
| spl4_87
| spl4_88 ),
inference(avatar_split_clause,[],[f186,f726,f722,f618,f354]) ).
fof(f186,plain,
( e0 = op(e0,e3)
| e0 = op(e0,e2)
| e0 = op(e0,e1)
| e0 = op(e0,e0) ),
inference(cnf_transformation,[],[f2]) ).
fof(f720,plain,
( ~ spl4_8
| ~ spl4_85
| spl4_86 ),
inference(avatar_split_clause,[],[f116,f717,f713,f341]) ).
fof(f341,plain,
( spl4_8
<=> sP1 ),
introduced(avatar_definition,[new_symbols(naming,[spl4_8])]) ).
fof(f116,plain,
( e3 = op(e3,e1)
| e1 != op(e3,e3)
| ~ sP1 ),
inference(cnf_transformation,[],[f61]) ).
fof(f61,plain,
( ( ( e3 = op(e3,e1)
| e1 != op(e3,e3) )
& ( e2 = op(e3,e1)
| e1 != op(e3,e2) )
& ( e1 = op(e3,e1)
| e1 != op(e3,e1) )
& ( e0 = op(e3,e1)
| e1 != op(e3,e0) )
& ( e3 = op(e2,e1)
| e1 != op(e2,e3) )
& ( e2 = op(e2,e1)
| e1 != op(e2,e2) )
& ( e1 = op(e2,e1)
| e1 != op(e2,e1) )
& ( e0 = op(e2,e1)
| e1 != op(e2,e0) )
& ( e3 = op(e1,e1)
| e1 != op(e1,e3) )
& ( e2 = op(e1,e1)
| e1 != op(e1,e2) )
& ( e1 = op(e1,e1)
| e1 != op(e1,e1) )
& ( e0 = op(e1,e1)
| e1 != op(e1,e0) )
& ( e3 = op(e0,e1)
| e1 != op(e0,e3) )
& ( e2 = op(e0,e1)
| e1 != op(e0,e2) )
& ( e1 = op(e0,e1)
| e1 != op(e0,e1) )
& ( e0 = op(e0,e1)
| op(e0,e0) != e1 ) )
| ~ sP1 ),
inference(nnf_transformation,[],[f55]) ).
fof(f55,plain,
( ( ( e3 = op(e3,e1)
| e1 != op(e3,e3) )
& ( e2 = op(e3,e1)
| e1 != op(e3,e2) )
& ( e1 = op(e3,e1)
| e1 != op(e3,e1) )
& ( e0 = op(e3,e1)
| e1 != op(e3,e0) )
& ( e3 = op(e2,e1)
| e1 != op(e2,e3) )
& ( e2 = op(e2,e1)
| e1 != op(e2,e2) )
& ( e1 = op(e2,e1)
| e1 != op(e2,e1) )
& ( e0 = op(e2,e1)
| e1 != op(e2,e0) )
& ( e3 = op(e1,e1)
| e1 != op(e1,e3) )
& ( e2 = op(e1,e1)
| e1 != op(e1,e2) )
& ( e1 = op(e1,e1)
| e1 != op(e1,e1) )
& ( e0 = op(e1,e1)
| e1 != op(e1,e0) )
& ( e3 = op(e0,e1)
| e1 != op(e0,e3) )
& ( e2 = op(e0,e1)
| e1 != op(e0,e2) )
& ( e1 = op(e0,e1)
| e1 != op(e0,e1) )
& ( e0 = op(e0,e1)
| op(e0,e0) != e1 ) )
| ~ sP1 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])]) ).
fof(f711,plain,
( ~ spl4_8
| ~ spl4_83
| spl4_84 ),
inference(avatar_split_clause,[],[f115,f708,f704,f341]) ).
fof(f115,plain,
( e2 = op(e3,e1)
| e1 != op(e3,e2)
| ~ sP1 ),
inference(cnf_transformation,[],[f61]) ).
fof(f702,plain,
( ~ spl4_8
| ~ spl4_81
| spl4_82 ),
inference(avatar_split_clause,[],[f113,f699,f695,f341]) ).
fof(f113,plain,
( e0 = op(e3,e1)
| e1 != op(e3,e0)
| ~ sP1 ),
inference(cnf_transformation,[],[f61]) ).
fof(f693,plain,
( ~ spl4_8
| ~ spl4_79
| spl4_80 ),
inference(avatar_split_clause,[],[f112,f690,f686,f341]) ).
fof(f112,plain,
( e3 = op(e2,e1)
| e1 != op(e2,e3)
| ~ sP1 ),
inference(cnf_transformation,[],[f61]) ).
fof(f684,plain,
( ~ spl4_8
| ~ spl4_77
| spl4_78 ),
inference(avatar_split_clause,[],[f111,f681,f677,f341]) ).
fof(f111,plain,
( e2 = op(e2,e1)
| e1 != op(e2,e2)
| ~ sP1 ),
inference(cnf_transformation,[],[f61]) ).
fof(f675,plain,
( ~ spl4_8
| ~ spl4_75
| spl4_76 ),
inference(avatar_split_clause,[],[f109,f672,f668,f341]) ).
fof(f109,plain,
( e0 = op(e2,e1)
| e1 != op(e2,e0)
| ~ sP1 ),
inference(cnf_transformation,[],[f61]) ).
fof(f666,plain,
( ~ spl4_8
| ~ spl4_73
| spl4_74 ),
inference(avatar_split_clause,[],[f108,f663,f659,f341]) ).
fof(f108,plain,
( e3 = op(e1,e1)
| e1 != op(e1,e3)
| ~ sP1 ),
inference(cnf_transformation,[],[f61]) ).
fof(f657,plain,
( ~ spl4_8
| ~ spl4_71
| spl4_72 ),
inference(avatar_split_clause,[],[f107,f654,f650,f341]) ).
fof(f107,plain,
( e2 = op(e1,e1)
| e1 != op(e1,e2)
| ~ sP1 ),
inference(cnf_transformation,[],[f61]) ).
fof(f648,plain,
( ~ spl4_8
| ~ spl4_69
| spl4_70 ),
inference(avatar_split_clause,[],[f105,f645,f641,f341]) ).
fof(f105,plain,
( e0 = op(e1,e1)
| e1 != op(e1,e0)
| ~ sP1 ),
inference(cnf_transformation,[],[f61]) ).
fof(f639,plain,
( ~ spl4_8
| ~ spl4_67
| spl4_68 ),
inference(avatar_split_clause,[],[f104,f636,f632,f341]) ).
fof(f104,plain,
( e3 = op(e0,e1)
| e1 != op(e0,e3)
| ~ sP1 ),
inference(cnf_transformation,[],[f61]) ).
fof(f630,plain,
( ~ spl4_8
| ~ spl4_65
| spl4_66 ),
inference(avatar_split_clause,[],[f103,f627,f623,f341]) ).
fof(f103,plain,
( e2 = op(e0,e1)
| e1 != op(e0,e2)
| ~ sP1 ),
inference(cnf_transformation,[],[f61]) ).
fof(f621,plain,
( ~ spl4_8
| ~ spl4_63
| spl4_64 ),
inference(avatar_split_clause,[],[f101,f618,f614,f341]) ).
fof(f101,plain,
( e0 = op(e0,e1)
| op(e0,e0) != e1
| ~ sP1 ),
inference(cnf_transformation,[],[f61]) ).
fof(f612,plain,
~ spl4_62,
inference(avatar_split_clause,[],[f185,f609]) ).
fof(f609,plain,
( spl4_62
<=> op(e3,e2) = op(e3,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_62])]) ).
fof(f185,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(f607,plain,
~ spl4_61,
inference(avatar_split_clause,[],[f184,f604]) ).
fof(f604,plain,
( spl4_61
<=> op(e3,e1) = op(e3,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_61])]) ).
fof(f184,plain,
op(e3,e1) != op(e3,e3),
inference(cnf_transformation,[],[f3]) ).
fof(f602,plain,
~ spl4_60,
inference(avatar_split_clause,[],[f183,f599]) ).
fof(f183,plain,
op(e3,e1) != op(e3,e2),
inference(cnf_transformation,[],[f3]) ).
fof(f597,plain,
~ spl4_59,
inference(avatar_split_clause,[],[f182,f594]) ).
fof(f182,plain,
op(e3,e0) != op(e3,e3),
inference(cnf_transformation,[],[f3]) ).
fof(f592,plain,
~ spl4_58,
inference(avatar_split_clause,[],[f181,f589]) ).
fof(f589,plain,
( spl4_58
<=> op(e3,e0) = op(e3,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_58])]) ).
fof(f181,plain,
op(e3,e0) != op(e3,e2),
inference(cnf_transformation,[],[f3]) ).
fof(f587,plain,
~ spl4_57,
inference(avatar_split_clause,[],[f180,f584]) ).
fof(f180,plain,
op(e3,e0) != op(e3,e1),
inference(cnf_transformation,[],[f3]) ).
fof(f582,plain,
~ spl4_56,
inference(avatar_split_clause,[],[f179,f579]) ).
fof(f179,plain,
op(e2,e2) != op(e2,e3),
inference(cnf_transformation,[],[f3]) ).
fof(f577,plain,
~ spl4_55,
inference(avatar_split_clause,[],[f178,f574]) ).
fof(f574,plain,
( spl4_55
<=> op(e2,e1) = op(e2,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_55])]) ).
fof(f178,plain,
op(e2,e1) != op(e2,e3),
inference(cnf_transformation,[],[f3]) ).
fof(f572,plain,
~ spl4_54,
inference(avatar_split_clause,[],[f177,f569]) ).
fof(f569,plain,
( spl4_54
<=> op(e2,e1) = op(e2,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_54])]) ).
fof(f177,plain,
op(e2,e1) != op(e2,e2),
inference(cnf_transformation,[],[f3]) ).
fof(f567,plain,
~ spl4_53,
inference(avatar_split_clause,[],[f176,f564]) ).
fof(f564,plain,
( spl4_53
<=> op(e2,e0) = op(e2,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_53])]) ).
fof(f176,plain,
op(e2,e0) != op(e2,e3),
inference(cnf_transformation,[],[f3]) ).
fof(f562,plain,
~ spl4_52,
inference(avatar_split_clause,[],[f175,f559]) ).
fof(f559,plain,
( spl4_52
<=> op(e2,e0) = op(e2,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_52])]) ).
fof(f175,plain,
op(e2,e0) != op(e2,e2),
inference(cnf_transformation,[],[f3]) ).
fof(f557,plain,
~ spl4_51,
inference(avatar_split_clause,[],[f174,f554]) ).
fof(f174,plain,
op(e2,e0) != op(e2,e1),
inference(cnf_transformation,[],[f3]) ).
fof(f552,plain,
~ spl4_50,
inference(avatar_split_clause,[],[f173,f549]) ).
fof(f549,plain,
( spl4_50
<=> op(e1,e2) = op(e1,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_50])]) ).
fof(f173,plain,
op(e1,e2) != op(e1,e3),
inference(cnf_transformation,[],[f3]) ).
fof(f547,plain,
~ spl4_49,
inference(avatar_split_clause,[],[f172,f544]) ).
fof(f172,plain,
op(e1,e1) != op(e1,e3),
inference(cnf_transformation,[],[f3]) ).
fof(f542,plain,
~ spl4_48,
inference(avatar_split_clause,[],[f171,f539]) ).
fof(f539,plain,
( spl4_48
<=> op(e1,e1) = op(e1,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_48])]) ).
fof(f171,plain,
op(e1,e1) != op(e1,e2),
inference(cnf_transformation,[],[f3]) ).
fof(f537,plain,
~ spl4_47,
inference(avatar_split_clause,[],[f170,f534]) ).
fof(f534,plain,
( spl4_47
<=> op(e1,e0) = op(e1,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_47])]) ).
fof(f170,plain,
op(e1,e0) != op(e1,e3),
inference(cnf_transformation,[],[f3]) ).
fof(f532,plain,
~ spl4_46,
inference(avatar_split_clause,[],[f169,f529]) ).
fof(f169,plain,
op(e1,e0) != op(e1,e2),
inference(cnf_transformation,[],[f3]) ).
fof(f527,plain,
~ spl4_45,
inference(avatar_split_clause,[],[f168,f524]) ).
fof(f524,plain,
( spl4_45
<=> op(e1,e0) = op(e1,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_45])]) ).
fof(f168,plain,
op(e1,e0) != op(e1,e1),
inference(cnf_transformation,[],[f3]) ).
fof(f522,plain,
~ spl4_44,
inference(avatar_split_clause,[],[f167,f519]) ).
fof(f519,plain,
( spl4_44
<=> op(e0,e2) = op(e0,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_44])]) ).
fof(f167,plain,
op(e0,e2) != op(e0,e3),
inference(cnf_transformation,[],[f3]) ).
fof(f517,plain,
~ spl4_43,
inference(avatar_split_clause,[],[f166,f514]) ).
fof(f166,plain,
op(e0,e1) != op(e0,e3),
inference(cnf_transformation,[],[f3]) ).
fof(f512,plain,
~ spl4_42,
inference(avatar_split_clause,[],[f165,f509]) ).
fof(f165,plain,
op(e0,e1) != op(e0,e2),
inference(cnf_transformation,[],[f3]) ).
fof(f507,plain,
~ spl4_41,
inference(avatar_split_clause,[],[f164,f504]) ).
fof(f164,plain,
op(e0,e0) != op(e0,e3),
inference(cnf_transformation,[],[f3]) ).
fof(f502,plain,
~ spl4_40,
inference(avatar_split_clause,[],[f163,f499]) ).
fof(f499,plain,
( spl4_40
<=> op(e0,e0) = op(e0,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_40])]) ).
fof(f163,plain,
op(e0,e0) != op(e0,e2),
inference(cnf_transformation,[],[f3]) ).
fof(f497,plain,
~ spl4_39,
inference(avatar_split_clause,[],[f162,f494]) ).
fof(f162,plain,
op(e0,e0) != op(e0,e1),
inference(cnf_transformation,[],[f3]) ).
fof(f492,plain,
~ spl4_38,
inference(avatar_split_clause,[],[f161,f489]) ).
fof(f489,plain,
( spl4_38
<=> op(e2,e3) = op(e3,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_38])]) ).
fof(f161,plain,
op(e2,e3) != op(e3,e3),
inference(cnf_transformation,[],[f3]) ).
fof(f487,plain,
~ spl4_37,
inference(avatar_split_clause,[],[f160,f484]) ).
fof(f160,plain,
op(e1,e3) != op(e3,e3),
inference(cnf_transformation,[],[f3]) ).
fof(f482,plain,
~ spl4_36,
inference(avatar_split_clause,[],[f159,f479]) ).
fof(f479,plain,
( spl4_36
<=> op(e1,e3) = op(e2,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_36])]) ).
fof(f159,plain,
op(e1,e3) != op(e2,e3),
inference(cnf_transformation,[],[f3]) ).
fof(f477,plain,
~ spl4_35,
inference(avatar_split_clause,[],[f158,f474]) ).
fof(f158,plain,
op(e0,e3) != op(e3,e3),
inference(cnf_transformation,[],[f3]) ).
fof(f472,plain,
~ spl4_34,
inference(avatar_split_clause,[],[f157,f469]) ).
fof(f469,plain,
( spl4_34
<=> op(e0,e3) = op(e2,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_34])]) ).
fof(f157,plain,
op(e0,e3) != op(e2,e3),
inference(cnf_transformation,[],[f3]) ).
fof(f467,plain,
~ spl4_33,
inference(avatar_split_clause,[],[f156,f464]) ).
fof(f156,plain,
op(e0,e3) != op(e1,e3),
inference(cnf_transformation,[],[f3]) ).
fof(f462,plain,
~ spl4_32,
inference(avatar_split_clause,[],[f155,f459]) ).
fof(f459,plain,
( spl4_32
<=> op(e2,e2) = op(e3,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_32])]) ).
fof(f155,plain,
op(e2,e2) != op(e3,e2),
inference(cnf_transformation,[],[f3]) ).
fof(f457,plain,
~ spl4_31,
inference(avatar_split_clause,[],[f154,f454]) ).
fof(f454,plain,
( spl4_31
<=> op(e1,e2) = op(e3,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_31])]) ).
fof(f154,plain,
op(e1,e2) != op(e3,e2),
inference(cnf_transformation,[],[f3]) ).
fof(f452,plain,
~ spl4_30,
inference(avatar_split_clause,[],[f153,f449]) ).
fof(f449,plain,
( spl4_30
<=> op(e1,e2) = op(e2,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_30])]) ).
fof(f153,plain,
op(e1,e2) != op(e2,e2),
inference(cnf_transformation,[],[f3]) ).
fof(f447,plain,
~ spl4_29,
inference(avatar_split_clause,[],[f152,f444]) ).
fof(f444,plain,
( spl4_29
<=> op(e0,e2) = op(e3,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_29])]) ).
fof(f152,plain,
op(e0,e2) != op(e3,e2),
inference(cnf_transformation,[],[f3]) ).
fof(f442,plain,
~ spl4_28,
inference(avatar_split_clause,[],[f151,f439]) ).
fof(f439,plain,
( spl4_28
<=> op(e0,e2) = op(e2,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_28])]) ).
fof(f151,plain,
op(e0,e2) != op(e2,e2),
inference(cnf_transformation,[],[f3]) ).
fof(f437,plain,
~ spl4_27,
inference(avatar_split_clause,[],[f150,f434]) ).
fof(f434,plain,
( spl4_27
<=> op(e0,e2) = op(e1,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_27])]) ).
fof(f150,plain,
op(e0,e2) != op(e1,e2),
inference(cnf_transformation,[],[f3]) ).
fof(f432,plain,
~ spl4_26,
inference(avatar_split_clause,[],[f149,f429]) ).
fof(f429,plain,
( spl4_26
<=> op(e2,e1) = op(e3,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_26])]) ).
fof(f149,plain,
op(e2,e1) != op(e3,e1),
inference(cnf_transformation,[],[f3]) ).
fof(f427,plain,
~ spl4_25,
inference(avatar_split_clause,[],[f148,f424]) ).
fof(f424,plain,
( spl4_25
<=> op(e1,e1) = op(e3,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_25])]) ).
fof(f148,plain,
op(e1,e1) != op(e3,e1),
inference(cnf_transformation,[],[f3]) ).
fof(f422,plain,
~ spl4_24,
inference(avatar_split_clause,[],[f147,f419]) ).
fof(f419,plain,
( spl4_24
<=> op(e1,e1) = op(e2,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_24])]) ).
fof(f147,plain,
op(e1,e1) != op(e2,e1),
inference(cnf_transformation,[],[f3]) ).
fof(f417,plain,
~ spl4_23,
inference(avatar_split_clause,[],[f146,f414]) ).
fof(f414,plain,
( spl4_23
<=> op(e0,e1) = op(e3,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_23])]) ).
fof(f146,plain,
op(e0,e1) != op(e3,e1),
inference(cnf_transformation,[],[f3]) ).
fof(f412,plain,
~ spl4_22,
inference(avatar_split_clause,[],[f145,f409]) ).
fof(f145,plain,
op(e0,e1) != op(e2,e1),
inference(cnf_transformation,[],[f3]) ).
fof(f407,plain,
~ spl4_21,
inference(avatar_split_clause,[],[f144,f404]) ).
fof(f404,plain,
( spl4_21
<=> op(e0,e1) = op(e1,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_21])]) ).
fof(f144,plain,
op(e0,e1) != op(e1,e1),
inference(cnf_transformation,[],[f3]) ).
fof(f402,plain,
~ spl4_20,
inference(avatar_split_clause,[],[f143,f399]) ).
fof(f143,plain,
op(e2,e0) != op(e3,e0),
inference(cnf_transformation,[],[f3]) ).
fof(f397,plain,
~ spl4_19,
inference(avatar_split_clause,[],[f142,f394]) ).
fof(f394,plain,
( spl4_19
<=> op(e1,e0) = op(e3,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_19])]) ).
fof(f142,plain,
op(e1,e0) != op(e3,e0),
inference(cnf_transformation,[],[f3]) ).
fof(f392,plain,
~ spl4_18,
inference(avatar_split_clause,[],[f141,f389]) ).
fof(f141,plain,
op(e1,e0) != op(e2,e0),
inference(cnf_transformation,[],[f3]) ).
fof(f387,plain,
~ spl4_17,
inference(avatar_split_clause,[],[f140,f384]) ).
fof(f384,plain,
( spl4_17
<=> op(e0,e0) = op(e3,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_17])]) ).
fof(f140,plain,
op(e0,e0) != op(e3,e0),
inference(cnf_transformation,[],[f3]) ).
fof(f382,plain,
~ spl4_16,
inference(avatar_split_clause,[],[f139,f379]) ).
fof(f379,plain,
( spl4_16
<=> op(e0,e0) = op(e2,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_16])]) ).
fof(f139,plain,
op(e0,e0) != op(e2,e0),
inference(cnf_transformation,[],[f3]) ).
fof(f377,plain,
~ spl4_15,
inference(avatar_split_clause,[],[f138,f374]) ).
fof(f138,plain,
op(e0,e0) != op(e1,e0),
inference(cnf_transformation,[],[f3]) ).
fof(f372,plain,
~ spl4_14,
inference(avatar_split_clause,[],[f136,f369]) ).
fof(f136,plain,
e3 != op(e3,e3),
inference(cnf_transformation,[],[f58]) ).
fof(f58,plain,
( ( sP3
| sP2
| sP1
| sP0 )
& e3 != op(e3,e3)
& e2 != op(e2,e2)
& e1 != op(e1,e1)
& e0 != op(e0,e0) ),
inference(definition_folding,[],[f5,f57,f56,f55,f54]) ).
fof(f5,axiom,
( ( ( ( e3 = op(e3,e3)
| e3 != op(e3,e3) )
& ( e2 = op(e3,e3)
| e3 != op(e3,e2) )
& ( e1 = op(e3,e3)
| e3 != op(e3,e1) )
& ( e0 = op(e3,e3)
| e3 != op(e3,e0) )
& ( e3 = op(e2,e3)
| e3 != op(e2,e3) )
& ( e2 = op(e2,e3)
| e3 != op(e2,e2) )
& ( e1 = op(e2,e3)
| e3 != op(e2,e1) )
& ( e0 = op(e2,e3)
| e3 != op(e2,e0) )
& ( e3 = op(e1,e3)
| e3 != op(e1,e3) )
& ( e2 = op(e1,e3)
| e3 != op(e1,e2) )
& ( e1 = op(e1,e3)
| e3 != op(e1,e1) )
& ( e0 = op(e1,e3)
| e3 != op(e1,e0) )
& ( e3 = op(e0,e3)
| e3 != op(e0,e3) )
& ( e2 = op(e0,e3)
| e3 != op(e0,e2) )
& ( e1 = op(e0,e3)
| e3 != op(e0,e1) )
& ( e0 = op(e0,e3)
| op(e0,e0) != e3 ) )
| ( ( e3 = op(e3,e2)
| e2 != op(e3,e3) )
& ( e2 = op(e3,e2)
| e2 != op(e3,e2) )
& ( e1 = op(e3,e2)
| e2 != op(e3,e1) )
& ( e0 = op(e3,e2)
| e2 != op(e3,e0) )
& ( e3 = op(e2,e2)
| e2 != op(e2,e3) )
& ( e2 = op(e2,e2)
| e2 != op(e2,e2) )
& ( e1 = op(e2,e2)
| e2 != op(e2,e1) )
& ( e0 = op(e2,e2)
| e2 != op(e2,e0) )
& ( e3 = op(e1,e2)
| e2 != op(e1,e3) )
& ( e2 = op(e1,e2)
| e2 != op(e1,e2) )
& ( e1 = op(e1,e2)
| e2 != op(e1,e1) )
& ( e0 = op(e1,e2)
| e2 != op(e1,e0) )
& ( e3 = op(e0,e2)
| e2 != op(e0,e3) )
& ( e2 = op(e0,e2)
| e2 != op(e0,e2) )
& ( e1 = op(e0,e2)
| e2 != op(e0,e1) )
& ( e0 = op(e0,e2)
| op(e0,e0) != e2 ) )
| ( ( e3 = op(e3,e1)
| e1 != op(e3,e3) )
& ( e2 = op(e3,e1)
| e1 != op(e3,e2) )
& ( e1 = op(e3,e1)
| e1 != op(e3,e1) )
& ( e0 = op(e3,e1)
| e1 != op(e3,e0) )
& ( e3 = op(e2,e1)
| e1 != op(e2,e3) )
& ( e2 = op(e2,e1)
| e1 != op(e2,e2) )
& ( e1 = op(e2,e1)
| e1 != op(e2,e1) )
& ( e0 = op(e2,e1)
| e1 != op(e2,e0) )
& ( e3 = op(e1,e1)
| e1 != op(e1,e3) )
& ( e2 = op(e1,e1)
| e1 != op(e1,e2) )
& ( e1 = op(e1,e1)
| e1 != op(e1,e1) )
& ( e0 = op(e1,e1)
| e1 != op(e1,e0) )
& ( e3 = op(e0,e1)
| e1 != op(e0,e3) )
& ( e2 = op(e0,e1)
| e1 != op(e0,e2) )
& ( e1 = op(e0,e1)
| e1 != op(e0,e1) )
& ( e0 = op(e0,e1)
| op(e0,e0) != e1 ) )
| ( ( e3 = op(e3,e0)
| e0 != op(e3,e3) )
& ( e2 = op(e3,e0)
| e0 != op(e3,e2) )
& ( e1 = op(e3,e0)
| e0 != op(e3,e1) )
& ( e0 = op(e3,e0)
| e0 != op(e3,e0) )
& ( e3 = op(e2,e0)
| e0 != op(e2,e3) )
& ( e2 = op(e2,e0)
| e0 != op(e2,e2) )
& ( e1 = op(e2,e0)
| e0 != op(e2,e1) )
& ( e0 = op(e2,e0)
| e0 != op(e2,e0) )
& ( e3 = op(e1,e0)
| e0 != op(e1,e3) )
& ( e2 = op(e1,e0)
| e0 != op(e1,e2) )
& ( e1 = op(e1,e0)
| e0 != op(e1,e1) )
& ( e0 = op(e1,e0)
| e0 != op(e1,e0) )
& ( op(e0,e0) = e3
| e0 != op(e0,e3) )
& ( op(e0,e0) = e2
| e0 != op(e0,e2) )
& ( op(e0,e0) = e1
| e0 != op(e0,e1) )
& ( e0 = op(e0,e0)
| e0 != op(e0,e0) ) ) )
& e3 != op(e3,e3)
& e2 != op(e2,e2)
& e1 != op(e1,e1)
& e0 != op(e0,e0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax5) ).
fof(f367,plain,
~ spl4_13,
inference(avatar_split_clause,[],[f135,f364]) ).
fof(f135,plain,
e2 != op(e2,e2),
inference(cnf_transformation,[],[f58]) ).
fof(f362,plain,
~ spl4_12,
inference(avatar_split_clause,[],[f134,f359]) ).
fof(f134,plain,
e1 != op(e1,e1),
inference(cnf_transformation,[],[f58]) ).
fof(f357,plain,
~ spl4_11,
inference(avatar_split_clause,[],[f133,f354]) ).
fof(f133,plain,
e0 != op(e0,e0),
inference(cnf_transformation,[],[f58]) ).
fof(f352,plain,
( spl4_7
| spl4_8
| spl4_9
| spl4_10 ),
inference(avatar_split_clause,[],[f137,f349,f345,f341,f337]) ).
fof(f137,plain,
( sP3
| sP2
| sP1
| sP0 ),
inference(cnf_transformation,[],[f58]) ).
fof(f335,plain,
~ spl4_6,
inference(avatar_split_clause,[],[f68,f332]) ).
fof(f68,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(f330,plain,
~ spl4_5,
inference(avatar_split_clause,[],[f67,f327]) ).
fof(f67,plain,
e1 != e3,
inference(cnf_transformation,[],[f4]) ).
fof(f325,plain,
~ spl4_4,
inference(avatar_split_clause,[],[f66,f322]) ).
fof(f66,plain,
e1 != e2,
inference(cnf_transformation,[],[f4]) ).
fof(f320,plain,
~ spl4_3,
inference(avatar_split_clause,[],[f65,f317]) ).
fof(f65,plain,
e0 != e3,
inference(cnf_transformation,[],[f4]) ).
fof(f315,plain,
~ spl4_2,
inference(avatar_split_clause,[],[f64,f312]) ).
fof(f64,plain,
e0 != e2,
inference(cnf_transformation,[],[f4]) ).
fof(f310,plain,
~ spl4_1,
inference(avatar_split_clause,[],[f63,f307]) ).
fof(f63,plain,
e0 != e1,
inference(cnf_transformation,[],[f4]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.11 % Problem : ALG149+1 : TPTP v8.1.2. Released v2.7.0.
% 0.02/0.12 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.13/0.34 % Computer : n003.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Fri May 3 19:59:23 EDT 2024
% 0.13/0.34 % CPUTime :
% 0.13/0.34 % (16085)Running in auto input_syntax mode. Trying TPTP
% 0.13/0.36 % (16088)WARNING: value z3 for option sas not known
% 0.13/0.37 % (16087)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.13/0.37 % (16089)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.13/0.37 % (16086)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.13/0.37 % (16090)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)
% 0.13/0.37 % (16091)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)
% 0.13/0.37 % (16092)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)
% 0.13/0.37 % (16088)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)
% 0.21/0.38 TRYING [1]
% 0.21/0.38 TRYING [2]
% 0.21/0.38 TRYING [3]
% 0.21/0.39 TRYING [4]
% 0.21/0.40 TRYING [5]
% 0.21/0.43 TRYING [6]
% 0.21/0.46 TRYING [7]
% 0.21/0.49 TRYING [8]
% 0.21/0.52 TRYING [9]
% 1.47/0.57 TRYING [10]
% 1.72/0.62 TRYING [11]
% 2.38/0.67 TRYING [12]
% 2.73/0.73 TRYING [13]
% 3.46/0.83 TRYING [14]
% 3.81/0.93 TRYING [15]
% 5.06/1.06 TRYING [16]
% 5.97/1.19 % (16090)First to succeed.
% 5.97/1.21 % (16090)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-16085"
% 5.97/1.21 % (16090)Refutation found. Thanks to Tanya!
% 5.97/1.21 % SZS status Unsatisfiable for theBenchmark
% 5.97/1.21 % SZS output start Proof for theBenchmark
% See solution above
% 5.97/1.23 % (16090)------------------------------
% 5.97/1.23 % (16090)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 5.97/1.23 % (16090)Termination reason: Refutation
% 5.97/1.23
% 5.97/1.23 % (16090)Memory used [KB]: 3653
% 5.97/1.23 % (16090)Time elapsed: 0.845 s
% 5.97/1.23 % (16090)Instructions burned: 1797 (million)
% 5.97/1.23 % (16085)Success in time 0.854 s
%------------------------------------------------------------------------------