TSTP Solution File: ALG143+1 by Vampire-SAT---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : ALG143+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 : n010.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Sun May 5 04:25:51 EDT 2024
% Result : Unsatisfiable 7.28s 1.39s
% Output : Refutation 7.28s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 291
% Syntax : Number of formulae : 3358 ( 109 unt; 0 def)
% Number of atoms : 14541 (5926 equ)
% Maximal formula atoms : 288 ( 4 avg)
% Number of connectives : 18065 (6882 ~;10229 |; 754 &)
% ( 200 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 68 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 268 ( 266 usr; 267 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-2 aty)
% Number of variables : 0 ( 0 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f23360,plain,
$false,
inference(avatar_sat_refutation,[],[f641,f646,f651,f656,f661,f666,f675,f680,f685,f694,f699,f704,f709,f718,f723,f728,f733,f742,f747,f752,f757,f766,f771,f776,f781,f790,f795,f800,f805,f814,f819,f824,f829,f838,f843,f848,f853,f862,f867,f872,f877,f886,f891,f896,f901,f910,f915,f920,f925,f934,f939,f944,f949,f958,f963,f968,f973,f982,f987,f992,f997,f1006,f1011,f1016,f1021,f1030,f1035,f1040,f1045,f1050,f1055,f1060,f1065,f1070,f1075,f1080,f1085,f1090,f1095,f1100,f1105,f1110,f1115,f1120,f1125,f1130,f1135,f1140,f1145,f1150,f1155,f1160,f1165,f1170,f1175,f1180,f1185,f1190,f1195,f1200,f1205,f1210,f1215,f1220,f1225,f1230,f1235,f1240,f1245,f1250,f1255,f1260,f1265,f1270,f1275,f1280,f1285,f1294,f1303,f1312,f1317,f1322,f1327,f1332,f1345,f1358,f1371,f1384,f1397,f1410,f1423,f1436,f1449,f1462,f1463,f1467,f1472,f1476,f1494,f1499,f1510,f1514,f1538,f1550,f1571,f1583,f1606,f1609,f1611,f1616,f1641,f1650,f1651,f1669,f1671,f1677,f1690,f1700,f1712,f1716,f1729,f1737,f1754,f1777,f1781,f1786,f1793,f1803,f1808,f1811,f1815,f1842,f1845,f1850,f1863,f1868,f1875,f1881,f1896,f1903,f1907,f1915,f1923,f1935,f1939,f1945,f1949,f1971,f2019,f2040,f2080,f2082,f2095,f2141,f2149,f2165,f2181,f2189,f2236,f2239,f2247,f2250,f2261,f2273,f2287,f2312,f2351,f2369,f2371,f2372,f2377,f2391,f2421,f2482,f2497,f2521,f2553,f2564,f2596,f2625,f2636,f2641,f2667,f2670,f2700,f2720,f2726,f2749,f2766,f2774,f2804,f2836,f2876,f2908,f2923,f2962,f2971,f2989,f2998,f3025,f3043,f3074,f3077,f3124,f3151,f3160,f3208,f3237,f3276,f3293,f3296,f3322,f3337,f3371,f3383,f3421,f3452,f3460,f3473,f3509,f3547,f3593,f3636,f3644,f3697,f3746,f3747,f3786,f3814,f3815,f3826,f3849,f3867,f3882,f3901,f3909,f3931,f3942,f3999,f4043,f4052,f4060,f4061,f4080,f4119,f4137,f4150,f4152,f4170,f4181,f4184,f4214,f4247,f4257,f4274,f4290,f4299,f4305,f4312,f4318,f4373,f4401,f4418,f4454,f4464,f4511,f4517,f4524,f4566,f4612,f4635,f4699,f4788,f4882,f4898,f4927,f4952,f4979,f5008,f5017,f5072,f5073,f5140,f5156,f5191,f5193,f5215,f5225,f5228,f5241,f5243,f5247,f5251,f5253,f5256,f5259,f5263,f5265,f5267,f5271,f5273,f5275,f5277,f5280,f5284,f5286,f5288,f5324,f5326,f5337,f5341,f5344,f5348,f5369,f5383,f5386,f5403,f5453,f5470,f5473,f5476,f5479,f5493,f5531,f5642,f5735,f5805,f5822,f5823,f5880,f5893,f5926,f6060,f6167,f6326,f6328,f6331,f6334,f6336,f6340,f6343,f6346,f6350,f6352,f6356,f6358,f6361,f6368,f6369,f6370,f6376,f6381,f6383,f6390,f6435,f6441,f6464,f6482,f6497,f6500,f6502,f6503,f6543,f6562,f6638,f6655,f6657,f6659,f6705,f6707,f6746,f6769,f6852,f6856,f6858,f6860,f6864,f6865,f7065,f7146,f7179,f7198,f7230,f7269,f7296,f7362,f7364,f7367,f7371,f7374,f7376,f7390,f7392,f7395,f7396,f7398,f7399,f7402,f7470,f7537,f7546,f7548,f7564,f7580,f7694,f7742,f7802,f7804,f7806,f7807,f7809,f7811,f7813,f7815,f7823,f7834,f7846,f7848,f7896,f7898,f7909,f7923,f7954,f7967,f8019,f8046,f8077,f8085,f8133,f8137,f8140,f8181,f8185,f8210,f8213,f8217,f8219,f8222,f8226,f8229,f8232,f8235,f8238,f8354,f8409,f8444,f8446,f8498,f8518,f8625,f8667,f8669,f8700,f8726,f8799,f8802,f8805,f8834,f9003,f9005,f9022,f9038,f9041,f9049,f9153,f9156,f9182,f9186,f9202,f9229,f9277,f9322,f9324,f9398,f9418,f9438,f9524,f9571,f9643,f9669,f9699,f9748,f9750,f9758,f9760,f9763,f9766,f9768,f9896,f10030,f10031,f10167,f10169,f10175,f10180,f10187,f10189,f10201,f10253,f10293,f10330,f10386,f10391,f10433,f10471,f10553,f10559,f10672,f10702,f10738,f10853,f10863,f11010,f11035,f11037,f11069,f11092,f11123,f11145,f11183,f11185,f11270,f11288,f11301,f11407,f11409,f11427,f11440,f11442,f11444,f11446,f11448,f11450,f11452,f11454,f11456,f11458,f11460,f11462,f11464,f11594,f11596,f11601,f11630,f11640,f11678,f11745,f11847,f11882,f11892,f11893,f11895,f11911,f11944,f11985,f11988,f11990,f12037,f12039,f12058,f12219,f12306,f12370,f12444,f12494,f12496,f12554,f12586,f12588,f12610,f12612,f12732,f12736,f12749,f12758,f12767,f12769,f12772,f12775,f12777,f12780,f12782,f12784,f12786,f12788,f12790,f12818,f12820,f12874,f12886,f12890,f12892,f12949,f12951,f12967,f13055,f13171,f13237,f13310,f13349,f13478,f13528,f13578,f13645,f13655,f13682,f13697,f13701,f13828,f13888,f13923,f13930,f13932,f13934,f13936,f13991,f13995,f14077,f14146,f14154,f14208,f14241,f14244,f14277,f14292,f14300,f14312,f14385,f14390,f14393,f14506,f14514,f14588,f14618,f14623,f14643,f14652,f14654,f14670,f14749,f14755,f14758,f14761,f14807,f14813,f14815,f14874,f15015,f15023,f15059,f15127,f15190,f15266,f15281,f15287,f15289,f15295,f15306,f15390,f15429,f15438,f15442,f15548,f15550,f15552,f15587,f15643,f15650,f15660,f15699,f15701,f15721,f15731,f15741,f15748,f15750,f15752,f15754,f15756,f15758,f15760,f15762,f15764,f15766,f15768,f15770,f15865,f15872,f15907,f15915,f15929,f16093,f16160,f16162,f16279,f16321,f16334,f16341,f16360,f16392,f16399,f16455,f16499,f16520,f16528,f16533,f16549,f16562,f16581,f16583,f16627,f16630,f16679,f16741,f16764,f16792,f16802,f16868,f16933,f16945,f16949,f16956,f17013,f17019,f17035,f17038,f17040,f17042,f17044,f17046,f17048,f17051,f17110,f17112,f17141,f17142,f17149,f17158,f17185,f17206,f17231,f17287,f17305,f17307,f17319,f17322,f17337,f17397,f17401,f17509,f17583,f17596,f17606,f17703,f17707,f17771,f17785,f17789,f17836,f17844,f17900,f17902,f17904,f17906,f17908,f17945,f17968,f17970,f17972,f17974,f18016,f18018,f18023,f18092,f18095,f18098,f18142,f18145,f18149,f18160,f18193,f18194,f18227,f18243,f18245,f18306,f18426,f18492,f18501,f18537,f18571,f18650,f18723,f18791,f18838,f18844,f18846,f18861,f18913,f18959,f18962,f18963,f18965,f18966,f18968,f18971,f18974,f18976,f18978,f19019,f19025,f19036,f19075,f19095,f19100,f19363,f19510,f19574,f19660,f19663,f19678,f19698,f19719,f19734,f19812,f19828,f19858,f19874,f19887,f19889,f20007,f20013,f20015,f20019,f20138,f20148,f20151,f20153,f20155,f20232,f20244,f20246,f20371,f20394,f20398,f20464,f20468,f20484,f20612,f20637,f20660,f20667,f20678,f20814,f20816,f20830,f20924,f20952,f20959,f21008,f21012,f21053,f21060,f21062,f21215,f21315,f21317,f21443,f21448,f21539,f21562,f21614,f21615,f21618,f21620,f21622,f21625,f21659,f21667,f21682,f21689,f21690,f21769,f21862,f21865,f21867,f21886,f21891,f21900,f21939,f21945,f21956,f21987,f21995,f22122,f22130,f22141,f22143,f22145,f22147,f22149,f22152,f22155,f22231,f22381,f22509,f22517,f22521,f22527,f22536,f22587,f22757,f22767,f22859,f22907,f22909,f22945,f23065,f23113,f23115,f23117,f23119,f23121,f23123,f23173,f23218,f23224,f23226,f23233,f23239,f23357,f23359]) ).
fof(f23359,plain,
( ~ spl66_17
| ~ spl66_8
| spl66_132 ),
inference(avatar_split_clause,[],[f19970,f1277,f672,f715]) ).
fof(f715,plain,
( spl66_17
<=> e3 = op(e3,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl66_17])]) ).
fof(f672,plain,
( spl66_8
<=> e3 = op(e3,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl66_8])]) ).
fof(f1277,plain,
( spl66_132
<=> op(e3,e1) = op(e3,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl66_132])]) ).
fof(f19970,plain,
( e3 != op(e3,e1)
| ~ spl66_8
| spl66_132 ),
inference(superposition,[],[f1279,f674]) ).
fof(f674,plain,
( e3 = op(e3,e3)
| ~ spl66_8 ),
inference(avatar_component_clause,[],[f672]) ).
fof(f1279,plain,
( op(e3,e1) != op(e3,e3)
| spl66_132 ),
inference(avatar_component_clause,[],[f1277]) ).
fof(f23357,plain,
( ~ spl66_164
| ~ spl66_168
| ~ spl66_187 ),
inference(avatar_split_clause,[],[f23261,f1790,f1438,f1420]) ).
fof(f1420,plain,
( spl66_164
<=> e2 = op(e3,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl66_164])]) ).
fof(f1438,plain,
( spl66_168
<=> op(e0,e0) = e1 ),
introduced(avatar_definition,[new_symbols(naming,[spl66_168])]) ).
fof(f1790,plain,
( spl66_187
<=> e3 = op(e1,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl66_187])]) ).
fof(f23261,plain,
( e2 != op(e3,e1)
| ~ spl66_168
| ~ spl66_187 ),
inference(trivial_inequality_removal,[],[f23260]) ).
fof(f23260,plain,
( e3 != e3
| e2 != op(e3,e1)
| ~ spl66_168
| ~ spl66_187 ),
inference(forward_demodulation,[],[f22244,f1792]) ).
fof(f1792,plain,
( e3 = op(e1,e0)
| ~ spl66_187 ),
inference(avatar_component_clause,[],[f1790]) ).
fof(f22244,plain,
( e3 != op(e1,e0)
| e2 != op(e3,e1)
| ~ spl66_168 ),
inference(trivial_inequality_removal,[],[f19525]) ).
fof(f19525,plain,
( e1 != e1
| e3 != op(e1,e0)
| e2 != op(e3,e1)
| ~ spl66_168 ),
inference(forward_demodulation,[],[f634,f1439]) ).
fof(f1439,plain,
( op(e0,e0) = e1
| ~ spl66_168 ),
inference(avatar_component_clause,[],[f1438]) ).
fof(f634,plain,
( e3 != op(e1,e0)
| e2 != op(e3,e1)
| op(e0,e0) != e1 ),
inference(inner_rewriting,[],[f633]) ).
fof(f633,plain,
( e3 != op(op(e0,e0),e0)
| e2 != op(e3,op(e0,e0))
| op(e0,e0) != e1 ),
inference(inner_rewriting,[],[f587]) ).
fof(f587,plain,
( e3 != op(op(e0,e0),e0)
| e2 != op(op(op(e0,e0),e0),op(e0,e0))
| op(e0,e0) != e1 ),
inference(cnf_transformation,[],[f52]) ).
fof(f52,plain,
( e3 != op(op(e0,e0),e0)
| e2 != op(op(op(e0,e0),e0),op(e0,e0))
| op(e0,e0) != e1 ),
inference(ennf_transformation,[],[f12]) ).
fof(f12,axiom,
~ ( e3 = op(op(e0,e0),e0)
& e2 = op(op(op(e0,e0),e0),op(e0,e0))
& op(e0,e0) = e1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax12) ).
fof(f23239,plain,
( spl66_153
| spl66_5
| spl66_3
| spl66_6
| ~ spl66_139
| ~ spl66_171
| ~ spl66_172
| ~ spl66_189 ),
inference(avatar_split_clause,[],[f23164,f1800,f1455,f1451,f1309,f663,f648,f658,f1373]) ).
fof(f1373,plain,
( spl66_153
<=> e3 = op(e2,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl66_153])]) ).
fof(f658,plain,
( spl66_5
<=> e1 = e3 ),
introduced(avatar_definition,[new_symbols(naming,[spl66_5])]) ).
fof(f648,plain,
( spl66_3
<=> e0 = e3 ),
introduced(avatar_definition,[new_symbols(naming,[spl66_3])]) ).
fof(f663,plain,
( spl66_6
<=> e2 = e3 ),
introduced(avatar_definition,[new_symbols(naming,[spl66_6])]) ).
fof(f1309,plain,
( spl66_139
<=> e0 = op(e0,op(e0,e0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl66_139])]) ).
fof(f1451,plain,
( spl66_171
<=> op(e0,e0) = e2 ),
introduced(avatar_definition,[new_symbols(naming,[spl66_171])]) ).
fof(f1455,plain,
( spl66_172
<=> e1 = op(e3,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl66_172])]) ).
fof(f1800,plain,
( spl66_189
<=> e2 = op(e1,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl66_189])]) ).
fof(f23164,plain,
( e2 = e3
| e0 = e3
| e1 = e3
| e3 = op(e2,e2)
| ~ spl66_139
| ~ spl66_171
| ~ spl66_172
| ~ spl66_189 ),
inference(forward_demodulation,[],[f12835,f1802]) ).
fof(f1802,plain,
( e2 = op(e1,e2)
| ~ spl66_189 ),
inference(avatar_component_clause,[],[f1800]) ).
fof(f12835,plain,
( e0 = e3
| e1 = e3
| e3 = op(e2,e2)
| e3 = op(e1,e2)
| ~ spl66_139
| ~ spl66_171
| ~ spl66_172 ),
inference(forward_demodulation,[],[f9962,f12819]) ).
fof(f12819,plain,
( e0 = op(e0,e2)
| ~ spl66_139
| ~ spl66_171 ),
inference(forward_demodulation,[],[f1310,f1452]) ).
fof(f1452,plain,
( op(e0,e0) = e2
| ~ spl66_171 ),
inference(avatar_component_clause,[],[f1451]) ).
fof(f1310,plain,
( e0 = op(e0,op(e0,e0))
| ~ spl66_139 ),
inference(avatar_component_clause,[],[f1309]) ).
fof(f9962,plain,
( e1 = e3
| e3 = op(e2,e2)
| e3 = op(e1,e2)
| e3 = op(e0,e2)
| ~ spl66_172 ),
inference(forward_demodulation,[],[f540,f1456]) ).
fof(f1456,plain,
( e1 = op(e3,e2)
| ~ spl66_172 ),
inference(avatar_component_clause,[],[f1455]) ).
fof(f540,plain,
( e3 = op(e3,e2)
| e3 = op(e2,e2)
| e3 = op(e1,e2)
| e3 = op(e0,e2) ),
inference(cnf_transformation,[],[f2]) ).
fof(f2,axiom,
( ( e3 = op(e3,e3)
| e3 = op(e2,e3)
| e3 = op(e1,e3)
| e3 = op(e0,e3) )
& ( e3 = op(e3,e3)
| e3 = op(e3,e2)
| e3 = op(e3,e1)
| e3 = op(e3,e0) )
& ( e2 = op(e3,e3)
| e2 = op(e2,e3)
| e2 = op(e1,e3)
| e2 = op(e0,e3) )
& ( e2 = op(e3,e3)
| e2 = op(e3,e2)
| e2 = op(e3,e1)
| e2 = op(e3,e0) )
& ( e1 = op(e3,e3)
| e1 = op(e2,e3)
| e1 = op(e1,e3)
| e1 = op(e0,e3) )
& ( e1 = op(e3,e3)
| e1 = op(e3,e2)
| e1 = op(e3,e1)
| e1 = op(e3,e0) )
& ( e0 = op(e3,e3)
| e0 = op(e2,e3)
| e0 = op(e1,e3)
| e0 = op(e0,e3) )
& ( e0 = op(e3,e3)
| e0 = op(e3,e2)
| e0 = op(e3,e1)
| e0 = op(e3,e0) )
& ( e3 = op(e3,e2)
| e3 = op(e2,e2)
| e3 = op(e1,e2)
| e3 = op(e0,e2) )
& ( e3 = op(e2,e3)
| e3 = op(e2,e2)
| e3 = op(e2,e1)
| e3 = op(e2,e0) )
& ( e2 = op(e3,e2)
| e2 = op(e2,e2)
| e2 = op(e1,e2)
| e2 = op(e0,e2) )
& ( e2 = op(e2,e3)
| e2 = op(e2,e2)
| e2 = op(e2,e1)
| e2 = op(e2,e0) )
& ( e1 = op(e3,e2)
| e1 = op(e2,e2)
| e1 = op(e1,e2)
| e1 = op(e0,e2) )
& ( e1 = op(e2,e3)
| e1 = op(e2,e2)
| e1 = op(e2,e1)
| e1 = op(e2,e0) )
& ( e0 = op(e3,e2)
| e0 = op(e2,e2)
| e0 = op(e1,e2)
| e0 = op(e0,e2) )
& ( e0 = op(e2,e3)
| e0 = op(e2,e2)
| e0 = op(e2,e1)
| e0 = op(e2,e0) )
& ( e3 = op(e3,e1)
| e3 = op(e2,e1)
| e3 = op(e1,e1)
| e3 = op(e0,e1) )
& ( e3 = op(e1,e3)
| e3 = op(e1,e2)
| e3 = op(e1,e1)
| e3 = op(e1,e0) )
& ( e2 = op(e3,e1)
| e2 = op(e2,e1)
| e2 = op(e1,e1)
| e2 = op(e0,e1) )
& ( e2 = op(e1,e3)
| e2 = op(e1,e2)
| e2 = op(e1,e1)
| e2 = op(e1,e0) )
& ( e1 = op(e3,e1)
| e1 = op(e2,e1)
| e1 = op(e1,e1)
| e1 = op(e0,e1) )
& ( e1 = op(e1,e3)
| e1 = op(e1,e2)
| e1 = op(e1,e1)
| e1 = op(e1,e0) )
& ( e0 = op(e3,e1)
| e0 = op(e2,e1)
| e0 = op(e1,e1)
| e0 = op(e0,e1) )
& ( e0 = op(e1,e3)
| e0 = op(e1,e2)
| e0 = op(e1,e1)
| e0 = op(e1,e0) )
& ( e3 = op(e3,e0)
| e3 = op(e2,e0)
| e3 = op(e1,e0)
| op(e0,e0) = e3 )
& ( e3 = op(e0,e3)
| e3 = op(e0,e2)
| e3 = op(e0,e1)
| op(e0,e0) = e3 )
& ( e2 = op(e3,e0)
| e2 = op(e2,e0)
| e2 = op(e1,e0)
| op(e0,e0) = e2 )
& ( e2 = op(e0,e3)
| e2 = op(e0,e2)
| e2 = op(e0,e1)
| op(e0,e0) = e2 )
& ( e1 = op(e3,e0)
| e1 = op(e2,e0)
| e1 = op(e1,e0)
| op(e0,e0) = e1 )
& ( e1 = op(e0,e3)
| e1 = op(e0,e2)
| e1 = op(e0,e1)
| op(e0,e0) = e1 )
& ( e0 = op(e3,e0)
| e0 = op(e2,e0)
| e0 = op(e1,e0)
| e0 = op(e0,e0) )
& ( e0 = op(e0,e3)
| e0 = op(e0,e2)
| e0 = op(e0,e1)
| e0 = op(e0,e0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax2) ).
fof(f23233,plain,
( ~ spl66_146
| ~ spl66_154
| spl66_200 ),
inference(avatar_split_clause,[],[f21313,f15284,f1377,f1342]) ).
fof(f1342,plain,
( spl66_146
<=> e3 = op(e0,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl66_146])]) ).
fof(f1377,plain,
( spl66_154
<=> e1 = op(e0,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl66_154])]) ).
fof(f15284,plain,
( spl66_200
<=> e3 = op(e0,op(e0,e3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl66_200])]) ).
fof(f21313,plain,
( e3 != op(e0,e1)
| ~ spl66_154
| spl66_200 ),
inference(superposition,[],[f15286,f1378]) ).
fof(f1378,plain,
( e1 = op(e0,e3)
| ~ spl66_154 ),
inference(avatar_component_clause,[],[f1377]) ).
fof(f15286,plain,
( e3 != op(e0,op(e0,e3))
| spl66_200 ),
inference(avatar_component_clause,[],[f15284]) ).
fof(f23226,plain,
( spl66_22
| ~ spl66_143
| ~ spl66_150 ),
inference(avatar_split_clause,[],[f16090,f1360,f1329,f739]) ).
fof(f739,plain,
( spl66_22
<=> e3 = op(e3,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl66_22])]) ).
fof(f1329,plain,
( spl66_143
<=> e3 = op(e3,op(e3,e3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl66_143])]) ).
fof(f1360,plain,
( spl66_150
<=> e0 = op(e3,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl66_150])]) ).
fof(f16090,plain,
( e3 = op(e3,e0)
| ~ spl66_143
| ~ spl66_150 ),
inference(forward_demodulation,[],[f1330,f1361]) ).
fof(f1361,plain,
( e0 = op(e3,e3)
| ~ spl66_150 ),
inference(avatar_component_clause,[],[f1360]) ).
fof(f1330,plain,
( e3 = op(e3,op(e3,e3))
| ~ spl66_143 ),
inference(avatar_component_clause,[],[f1329]) ).
fof(f23224,plain,
( ~ spl66_172
| spl66_141
| ~ spl66_164 ),
inference(avatar_split_clause,[],[f15812,f1420,f1319,f1455]) ).
fof(f1319,plain,
( spl66_141
<=> e1 = op(e3,op(e3,e1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl66_141])]) ).
fof(f15812,plain,
( e1 != op(e3,e2)
| spl66_141
| ~ spl66_164 ),
inference(forward_demodulation,[],[f1321,f1421]) ).
fof(f1421,plain,
( e2 = op(e3,e1)
| ~ spl66_164 ),
inference(avatar_component_clause,[],[f1420]) ).
fof(f1321,plain,
( e1 != op(e3,op(e3,e1))
| spl66_141 ),
inference(avatar_component_clause,[],[f1319]) ).
fof(f23218,plain,
( spl66_72
| ~ spl66_139
| ~ spl66_171 ),
inference(avatar_split_clause,[],[f13145,f1451,f1309,f979]) ).
fof(f979,plain,
( spl66_72
<=> e0 = op(e0,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl66_72])]) ).
fof(f13145,plain,
( e0 = op(e0,e2)
| ~ spl66_139
| ~ spl66_171 ),
inference(forward_demodulation,[],[f1310,f1452]) ).
fof(f23173,plain,
( ~ spl66_56
| spl66_5
| ~ spl66_180 ),
inference(avatar_split_clause,[],[f17788,f1564,f658,f903]) ).
fof(f903,plain,
( spl66_56
<=> sP26 ),
introduced(avatar_definition,[new_symbols(naming,[spl66_56])]) ).
fof(f1564,plain,
( spl66_180
<=> e3 = op(e1,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl66_180])]) ).
fof(f17788,plain,
( e1 = e3
| ~ sP26
| ~ spl66_180 ),
inference(forward_demodulation,[],[f400,f1566]) ).
fof(f1566,plain,
( e3 = op(e1,e3)
| ~ spl66_180 ),
inference(avatar_component_clause,[],[f1564]) ).
fof(f400,plain,
( e1 = op(e1,e3)
| ~ sP26 ),
inference(cnf_transformation,[],[f160]) ).
fof(f160,plain,
( ( e1 = op(e1,e3)
& e1 = op(e3,e1)
& e1 = op(e1,e1)
& e1 = op(e1,e1) )
| ~ sP26 ),
inference(nnf_transformation,[],[f80]) ).
fof(f80,plain,
( ( e1 = op(e1,e3)
& e1 = op(e3,e1)
& e1 = op(e1,e1)
& e1 = op(e1,e1) )
| ~ sP26 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP26])]) ).
fof(f23123,plain,
( ~ spl66_44
| spl66_4
| ~ spl66_178 ),
inference(avatar_split_clause,[],[f5947,f1507,f653,f845]) ).
fof(f845,plain,
( spl66_44
<=> sP36 ),
introduced(avatar_definition,[new_symbols(naming,[spl66_44])]) ).
fof(f653,plain,
( spl66_4
<=> e1 = e2 ),
introduced(avatar_definition,[new_symbols(naming,[spl66_4])]) ).
fof(f1507,plain,
( spl66_178
<=> e1 = op(e0,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl66_178])]) ).
fof(f5947,plain,
( e1 = e2
| ~ sP36
| ~ spl66_178 ),
inference(forward_demodulation,[],[f358,f1509]) ).
fof(f1509,plain,
( e1 = op(e0,e2)
| ~ spl66_178 ),
inference(avatar_component_clause,[],[f1507]) ).
fof(f358,plain,
( e2 = op(e0,e2)
| ~ sP36 ),
inference(cnf_transformation,[],[f150]) ).
fof(f150,plain,
( ( e0 = op(e0,e1)
& e0 = op(e1,e0)
& e2 = op(e0,e2)
& e2 = op(e2,e0) )
| ~ sP36 ),
inference(nnf_transformation,[],[f90]) ).
fof(f90,plain,
( ( e0 = op(e0,e1)
& e0 = op(e1,e0)
& e2 = op(e0,e2)
& e2 = op(e2,e0) )
| ~ sP36 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP36])]) ).
fof(f23121,plain,
( ~ spl66_78
| spl66_4
| ~ spl66_189 ),
inference(avatar_split_clause,[],[f23120,f1800,f653,f1008]) ).
fof(f1008,plain,
( spl66_78
<=> sP9 ),
introduced(avatar_definition,[new_symbols(naming,[spl66_78])]) ).
fof(f23120,plain,
( e1 = e2
| ~ sP9
| ~ spl66_189 ),
inference(forward_demodulation,[],[f468,f1802]) ).
fof(f468,plain,
( e1 = op(e1,e2)
| ~ sP9 ),
inference(cnf_transformation,[],[f177]) ).
fof(f177,plain,
( ( e1 = op(e1,e2)
& e1 = op(e2,e1)
& e0 = op(e1,e0)
& e0 = op(e0,e1) )
| ~ sP9 ),
inference(nnf_transformation,[],[f63]) ).
fof(f63,plain,
( ( e1 = op(e1,e2)
& e1 = op(e2,e1)
& e0 = op(e1,e0)
& e0 = op(e0,e1) )
| ~ sP9 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP9])]) ).
fof(f23119,plain,
( ~ spl66_76
| spl66_4
| ~ spl66_164 ),
inference(avatar_split_clause,[],[f23118,f1420,f653,f999]) ).
fof(f999,plain,
( spl66_76
<=> sP10 ),
introduced(avatar_definition,[new_symbols(naming,[spl66_76])]) ).
fof(f23118,plain,
( e1 = e2
| ~ sP10
| ~ spl66_164 ),
inference(forward_demodulation,[],[f463,f1421]) ).
fof(f463,plain,
( e1 = op(e3,e1)
| ~ sP10 ),
inference(cnf_transformation,[],[f176]) ).
fof(f176,plain,
( ( e1 = op(e1,e3)
& e1 = op(e3,e1)
& e0 = op(e1,e0)
& e0 = op(e0,e1) )
| ~ sP10 ),
inference(nnf_transformation,[],[f64]) ).
fof(f64,plain,
( ( e1 = op(e1,e3)
& e1 = op(e3,e1)
& e0 = op(e1,e0)
& e0 = op(e0,e1) )
| ~ sP10 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP10])]) ).
fof(f23117,plain,
( ~ spl66_15
| spl66_4
| ~ spl66_178 ),
inference(avatar_split_clause,[],[f23116,f1507,f653,f706]) ).
fof(f706,plain,
( spl66_15
<=> sP59 ),
introduced(avatar_definition,[new_symbols(naming,[spl66_15])]) ).
fof(f23116,plain,
( e1 = e2
| ~ sP59
| ~ spl66_178 ),
inference(forward_demodulation,[],[f267,f1509]) ).
fof(f267,plain,
( e2 = op(e0,e2)
| ~ sP59 ),
inference(cnf_transformation,[],[f127]) ).
fof(f127,plain,
( ( e2 = op(e2,e0)
& e2 = op(e0,e2)
& e3 = op(e2,e3)
& e3 = op(e3,e2) )
| ~ sP59 ),
inference(nnf_transformation,[],[f113]) ).
fof(f113,plain,
( ( e2 = op(e2,e0)
& e2 = op(e0,e2)
& e3 = op(e2,e3)
& e3 = op(e3,e2) )
| ~ sP59 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP59])]) ).
fof(f23115,plain,
( ~ spl66_13
| spl66_32 ),
inference(avatar_split_clause,[],[f260,f787,f696]) ).
fof(f696,plain,
( spl66_13
<=> sP61 ),
introduced(avatar_definition,[new_symbols(naming,[spl66_13])]) ).
fof(f787,plain,
( spl66_32
<=> e2 = op(e2,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl66_32])]) ).
fof(f260,plain,
( e2 = op(e2,e2)
| ~ sP61 ),
inference(cnf_transformation,[],[f125]) ).
fof(f125,plain,
( ( e2 = op(e2,e2)
& e2 = op(e2,e2)
& e3 = op(e2,e3)
& e3 = op(e3,e2) )
| ~ sP61 ),
inference(nnf_transformation,[],[f115]) ).
fof(f115,plain,
( ( e2 = op(e2,e2)
& e2 = op(e2,e2)
& e3 = op(e2,e3)
& e3 = op(e3,e2) )
| ~ sP61 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP61])]) ).
fof(f23113,plain,
( ~ spl66_14
| spl66_37 ),
inference(avatar_split_clause,[],[f264,f811,f701]) ).
fof(f701,plain,
( spl66_14
<=> sP60 ),
introduced(avatar_definition,[new_symbols(naming,[spl66_14])]) ).
fof(f811,plain,
( spl66_37
<=> e2 = op(e2,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl66_37])]) ).
fof(f264,plain,
( e2 = op(e2,e1)
| ~ sP60 ),
inference(cnf_transformation,[],[f126]) ).
fof(f126,plain,
( ( e2 = op(e2,e1)
& e2 = op(e1,e2)
& e3 = op(e2,e3)
& e3 = op(e3,e2) )
| ~ sP60 ),
inference(nnf_transformation,[],[f114]) ).
fof(f114,plain,
( ( e2 = op(e2,e1)
& e2 = op(e1,e2)
& e3 = op(e2,e3)
& e3 = op(e3,e2) )
| ~ sP60 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP60])]) ).
fof(f23065,plain,
( spl66_2
| ~ spl66_77
| ~ spl66_178
| ~ spl66_198 ),
inference(avatar_split_clause,[],[f22991,f11889,f1507,f1003,f643]) ).
fof(f643,plain,
( spl66_2
<=> e0 = e2 ),
introduced(avatar_definition,[new_symbols(naming,[spl66_2])]) ).
fof(f1003,plain,
( spl66_77
<=> e0 = op(e0,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl66_77])]) ).
fof(f11889,plain,
( spl66_198
<=> e2 = op(e0,op(e0,e2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl66_198])]) ).
fof(f22991,plain,
( e0 = e2
| ~ spl66_77
| ~ spl66_178
| ~ spl66_198 ),
inference(forward_demodulation,[],[f21059,f1005]) ).
fof(f1005,plain,
( e0 = op(e0,e1)
| ~ spl66_77 ),
inference(avatar_component_clause,[],[f1003]) ).
fof(f21059,plain,
( e2 = op(e0,e1)
| ~ spl66_178
| ~ spl66_198 ),
inference(superposition,[],[f11890,f1509]) ).
fof(f11890,plain,
( e2 = op(e0,op(e0,e2))
| ~ spl66_198 ),
inference(avatar_component_clause,[],[f11889]) ).
fof(f22945,plain,
( spl66_8
| spl66_3
| spl66_5
| spl66_6
| ~ spl66_47
| ~ spl66_152
| ~ spl66_163 ),
inference(avatar_split_clause,[],[f22862,f1416,f1368,f859,f663,f658,f648,f672]) ).
fof(f859,plain,
( spl66_47
<=> e1 = op(e1,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl66_47])]) ).
fof(f1368,plain,
( spl66_152
<=> e2 = op(e0,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl66_152])]) ).
fof(f1416,plain,
( spl66_163
<=> e0 = op(e2,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl66_163])]) ).
fof(f22862,plain,
( e2 = e3
| e1 = e3
| e0 = e3
| e3 = op(e3,e3)
| ~ spl66_47
| ~ spl66_152
| ~ spl66_163 ),
inference(forward_demodulation,[],[f22861,f1369]) ).
fof(f1369,plain,
( e2 = op(e0,e3)
| ~ spl66_152 ),
inference(avatar_component_clause,[],[f1368]) ).
fof(f22861,plain,
( e1 = e3
| e0 = e3
| e3 = op(e3,e3)
| e3 = op(e0,e3)
| ~ spl66_47
| ~ spl66_163 ),
inference(forward_demodulation,[],[f4652,f861]) ).
fof(f861,plain,
( e1 = op(e1,e3)
| ~ spl66_47 ),
inference(avatar_component_clause,[],[f859]) ).
fof(f4652,plain,
( e0 = e3
| e3 = op(e3,e3)
| e3 = op(e1,e3)
| e3 = op(e0,e3)
| ~ spl66_163 ),
inference(forward_demodulation,[],[f548,f1417]) ).
fof(f1417,plain,
( e0 = op(e2,e3)
| ~ spl66_163 ),
inference(avatar_component_clause,[],[f1416]) ).
fof(f548,plain,
( e3 = op(e3,e3)
| e3 = op(e2,e3)
| e3 = op(e1,e3)
| e3 = op(e0,e3) ),
inference(cnf_transformation,[],[f2]) ).
fof(f22909,plain,
( spl66_155
| spl66_1
| spl66_2
| spl66_3
| ~ spl66_149
| ~ spl66_156
| ~ spl66_189 ),
inference(avatar_split_clause,[],[f22845,f1800,f1386,f1355,f648,f643,f638,f1381]) ).
fof(f1381,plain,
( spl66_155
<=> e0 = op(e3,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl66_155])]) ).
fof(f638,plain,
( spl66_1
<=> e0 = e1 ),
introduced(avatar_definition,[new_symbols(naming,[spl66_1])]) ).
fof(f1355,plain,
( spl66_149
<=> e3 = op(e0,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl66_149])]) ).
fof(f1386,plain,
( spl66_156
<=> e1 = op(e2,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl66_156])]) ).
fof(f22845,plain,
( e0 = e3
| e0 = e2
| e0 = e1
| e0 = op(e3,e2)
| ~ spl66_149
| ~ spl66_156
| ~ spl66_189 ),
inference(forward_demodulation,[],[f19818,f1356]) ).
fof(f1356,plain,
( e3 = op(e0,e2)
| ~ spl66_149 ),
inference(avatar_component_clause,[],[f1355]) ).
fof(f19818,plain,
( e0 = e2
| e0 = e1
| e0 = op(e3,e2)
| e0 = op(e0,e2)
| ~ spl66_156
| ~ spl66_189 ),
inference(forward_demodulation,[],[f9791,f1802]) ).
fof(f9791,plain,
( e0 = e1
| e0 = op(e3,e2)
| e0 = op(e1,e2)
| e0 = op(e0,e2)
| ~ spl66_156 ),
inference(forward_demodulation,[],[f534,f1387]) ).
fof(f1387,plain,
( e1 = op(e2,e2)
| ~ spl66_156 ),
inference(avatar_component_clause,[],[f1386]) ).
fof(f534,plain,
( e0 = op(e3,e2)
| e0 = op(e2,e2)
| e0 = op(e1,e2)
| e0 = op(e0,e2) ),
inference(cnf_transformation,[],[f2]) ).
fof(f22907,plain,
( spl66_179
| spl66_2
| spl66_3
| ~ spl66_47
| ~ spl66_187
| ~ spl66_189
| ~ spl66_195 ),
inference(avatar_split_clause,[],[f22877,f9319,f1800,f1790,f859,f648,f643,f1535]) ).
fof(f1535,plain,
( spl66_179
<=> e0 = op(e1,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl66_179])]) ).
fof(f9319,plain,
( spl66_195
<=> e3 = op(e1,op(e1,e3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl66_195])]) ).
fof(f22877,plain,
( e0 = e3
| e0 = e2
| e0 = op(e1,e3)
| ~ spl66_47
| ~ spl66_187
| ~ spl66_189
| ~ spl66_195 ),
inference(duplicate_literal_removal,[],[f22876]) ).
fof(f22876,plain,
( e0 = e3
| e0 = e2
| e0 = e3
| e0 = op(e1,e3)
| ~ spl66_47
| ~ spl66_187
| ~ spl66_189
| ~ spl66_195 ),
inference(forward_demodulation,[],[f17102,f1792]) ).
fof(f17102,plain,
( e0 = e2
| e0 = e3
| e0 = op(e1,e3)
| e0 = op(e1,e0)
| ~ spl66_47
| ~ spl66_189
| ~ spl66_195 ),
inference(forward_demodulation,[],[f15783,f1802]) ).
fof(f15783,plain,
( e0 = e3
| e0 = op(e1,e3)
| e0 = op(e1,e2)
| e0 = op(e1,e0)
| ~ spl66_47
| ~ spl66_195 ),
inference(forward_demodulation,[],[f525,f15659]) ).
fof(f15659,plain,
( e3 = op(e1,e1)
| ~ spl66_47
| ~ spl66_195 ),
inference(superposition,[],[f9320,f861]) ).
fof(f9320,plain,
( e3 = op(e1,op(e1,e3))
| ~ spl66_195 ),
inference(avatar_component_clause,[],[f9319]) ).
fof(f525,plain,
( e0 = op(e1,e3)
| e0 = op(e1,e2)
| e0 = op(e1,e1)
| e0 = op(e1,e0) ),
inference(cnf_transformation,[],[f2]) ).
fof(f22859,plain,
( ~ spl66_79
| spl66_3
| ~ spl66_187 ),
inference(avatar_split_clause,[],[f22777,f1790,f648,f1013]) ).
fof(f1013,plain,
( spl66_79
<=> sP8 ),
introduced(avatar_definition,[new_symbols(naming,[spl66_79])]) ).
fof(f22777,plain,
( e0 = e3
| ~ sP8
| ~ spl66_187 ),
inference(forward_demodulation,[],[f470,f1792]) ).
fof(f470,plain,
( e0 = op(e1,e0)
| ~ sP8 ),
inference(cnf_transformation,[],[f178]) ).
fof(f178,plain,
( ( e1 = op(e1,e1)
& e1 = op(e1,e1)
& e0 = op(e1,e0)
& e0 = op(e0,e1) )
| ~ sP8 ),
inference(nnf_transformation,[],[f62]) ).
fof(f62,plain,
( ( e1 = op(e1,e1)
& e1 = op(e1,e1)
& e0 = op(e1,e0)
& e0 = op(e0,e1) )
| ~ sP8 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP8])]) ).
fof(f22767,plain,
( spl66_4
| spl66_6
| spl66_2
| ~ spl66_12
| ~ spl66_150
| ~ spl66_176
| ~ spl66_184 ),
inference(avatar_split_clause,[],[f22678,f1666,f1491,f1360,f691,f643,f663,f653]) ).
fof(f691,plain,
( spl66_12
<=> e3 = op(e3,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl66_12])]) ).
fof(f1491,plain,
( spl66_176
<=> e0 = op(e3,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl66_176])]) ).
fof(f1666,plain,
( spl66_184
<=> e1 = op(e3,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl66_184])]) ).
fof(f22678,plain,
( e0 = e2
| e2 = e3
| e1 = e2
| ~ spl66_12
| ~ spl66_150
| ~ spl66_176
| ~ spl66_184 ),
inference(duplicate_literal_removal,[],[f22677]) ).
fof(f22677,plain,
( e0 = e2
| e2 = e3
| e0 = e2
| e1 = e2
| ~ spl66_12
| ~ spl66_150
| ~ spl66_176
| ~ spl66_184 ),
inference(forward_demodulation,[],[f22168,f1361]) ).
fof(f22168,plain,
( e2 = e3
| e0 = e2
| e1 = e2
| e2 = op(e3,e3)
| ~ spl66_12
| ~ spl66_176
| ~ spl66_184 ),
inference(forward_demodulation,[],[f18030,f693]) ).
fof(f693,plain,
( e3 = op(e3,e2)
| ~ spl66_12 ),
inference(avatar_component_clause,[],[f691]) ).
fof(f18030,plain,
( e0 = e2
| e1 = e2
| e2 = op(e3,e3)
| e2 = op(e3,e2)
| ~ spl66_176
| ~ spl66_184 ),
inference(forward_demodulation,[],[f4426,f1493]) ).
fof(f1493,plain,
( e0 = op(e3,e0)
| ~ spl66_176 ),
inference(avatar_component_clause,[],[f1491]) ).
fof(f4426,plain,
( e1 = e2
| e2 = op(e3,e3)
| e2 = op(e3,e2)
| e2 = op(e3,e0)
| ~ spl66_184 ),
inference(forward_demodulation,[],[f545,f1668]) ).
fof(f1668,plain,
( e1 = op(e3,e1)
| ~ spl66_184 ),
inference(avatar_component_clause,[],[f1666]) ).
fof(f545,plain,
( e2 = op(e3,e3)
| e2 = op(e3,e2)
| e2 = op(e3,e1)
| e2 = op(e3,e0) ),
inference(cnf_transformation,[],[f2]) ).
fof(f22757,plain,
( spl66_77
| ~ spl66_139
| ~ spl66_168 ),
inference(avatar_split_clause,[],[f18911,f1438,f1309,f1003]) ).
fof(f18911,plain,
( e0 = op(e0,e1)
| ~ spl66_139
| ~ spl66_168 ),
inference(forward_demodulation,[],[f1310,f1439]) ).
fof(f22587,plain,
( spl66_164
| spl66_4
| spl66_2
| spl66_6
| ~ spl66_57
| ~ spl66_146
| ~ spl66_160 ),
inference(avatar_split_clause,[],[f22391,f1403,f1342,f907,f663,f643,f653,f1420]) ).
fof(f907,plain,
( spl66_57
<=> e1 = op(e1,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl66_57])]) ).
fof(f1403,plain,
( spl66_160
<=> e0 = op(e2,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl66_160])]) ).
fof(f22391,plain,
( e2 = e3
| e0 = e2
| e1 = e2
| e2 = op(e3,e1)
| ~ spl66_57
| ~ spl66_146
| ~ spl66_160 ),
inference(forward_demodulation,[],[f22390,f1343]) ).
fof(f1343,plain,
( e3 = op(e0,e1)
| ~ spl66_146 ),
inference(avatar_component_clause,[],[f1342]) ).
fof(f22390,plain,
( e0 = e2
| e1 = e2
| e2 = op(e3,e1)
| e2 = op(e0,e1)
| ~ spl66_57
| ~ spl66_160 ),
inference(forward_demodulation,[],[f5013,f1404]) ).
fof(f1404,plain,
( e0 = op(e2,e1)
| ~ spl66_160 ),
inference(avatar_component_clause,[],[f1403]) ).
fof(f5013,plain,
( e1 = e2
| e2 = op(e3,e1)
| e2 = op(e2,e1)
| e2 = op(e0,e1)
| ~ spl66_57 ),
inference(forward_demodulation,[],[f530,f909]) ).
fof(f909,plain,
( e1 = op(e1,e1)
| ~ spl66_57 ),
inference(avatar_component_clause,[],[f907]) ).
fof(f530,plain,
( e2 = op(e3,e1)
| e2 = op(e2,e1)
| e2 = op(e1,e1)
| e2 = op(e0,e1) ),
inference(cnf_transformation,[],[f2]) ).
fof(f22536,plain,
( spl66_150
| spl66_2
| spl66_1
| ~ spl66_152
| ~ spl66_161
| ~ spl66_167 ),
inference(avatar_split_clause,[],[f22269,f1433,f1407,f1368,f638,f643,f1360]) ).
fof(f1407,plain,
( spl66_161
<=> e2 = op(e1,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl66_161])]) ).
fof(f1433,plain,
( spl66_167
<=> e1 = op(e2,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl66_167])]) ).
fof(f22269,plain,
( e0 = e1
| e0 = e2
| e0 = op(e3,e3)
| ~ spl66_152
| ~ spl66_161
| ~ spl66_167 ),
inference(forward_demodulation,[],[f16362,f1434]) ).
fof(f1434,plain,
( e1 = op(e2,e3)
| ~ spl66_167 ),
inference(avatar_component_clause,[],[f1433]) ).
fof(f16362,plain,
( e0 = e2
| e0 = op(e3,e3)
| e0 = op(e2,e3)
| ~ spl66_152
| ~ spl66_161 ),
inference(duplicate_literal_removal,[],[f9337]) ).
fof(f9337,plain,
( e0 = e2
| e0 = e2
| e0 = op(e3,e3)
| e0 = op(e2,e3)
| ~ spl66_152
| ~ spl66_161 ),
inference(forward_demodulation,[],[f5023,f1369]) ).
fof(f5023,plain,
( e0 = e2
| e0 = op(e3,e3)
| e0 = op(e2,e3)
| e0 = op(e0,e3)
| ~ spl66_161 ),
inference(forward_demodulation,[],[f542,f1408]) ).
fof(f1408,plain,
( e2 = op(e1,e3)
| ~ spl66_161 ),
inference(avatar_component_clause,[],[f1407]) ).
fof(f542,plain,
( e0 = op(e3,e3)
| e0 = op(e2,e3)
| e0 = op(e1,e3)
| e0 = op(e0,e3) ),
inference(cnf_transformation,[],[f2]) ).
fof(f22527,plain,
( spl66_12
| spl66_3
| ~ spl66_42
| ~ spl66_72
| ~ spl66_135
| ~ spl66_166 ),
inference(avatar_split_clause,[],[f22400,f1429,f1291,f979,f835,f648,f691]) ).
fof(f835,plain,
( spl66_42
<=> e2 = op(e2,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl66_42])]) ).
fof(f1291,plain,
( spl66_135
<=> e0 = op(e2,op(e2,e0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl66_135])]) ).
fof(f1429,plain,
( spl66_166
<=> e0 = op(e1,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl66_166])]) ).
fof(f22400,plain,
( e0 = e3
| e3 = op(e3,e2)
| ~ spl66_42
| ~ spl66_72
| ~ spl66_135
| ~ spl66_166 ),
inference(duplicate_literal_removal,[],[f22399]) ).
fof(f22399,plain,
( e0 = e3
| e0 = e3
| e3 = op(e3,e2)
| ~ spl66_42
| ~ spl66_72
| ~ spl66_135
| ~ spl66_166 ),
inference(forward_demodulation,[],[f22398,f1430]) ).
fof(f1430,plain,
( e0 = op(e1,e2)
| ~ spl66_166 ),
inference(avatar_component_clause,[],[f1429]) ).
fof(f22398,plain,
( e0 = e3
| e3 = op(e3,e2)
| e3 = op(e1,e2)
| ~ spl66_42
| ~ spl66_72
| ~ spl66_135 ),
inference(duplicate_literal_removal,[],[f22397]) ).
fof(f22397,plain,
( e0 = e3
| e0 = e3
| e3 = op(e3,e2)
| e3 = op(e1,e2)
| ~ spl66_42
| ~ spl66_72
| ~ spl66_135 ),
inference(forward_demodulation,[],[f21330,f6327]) ).
fof(f6327,plain,
( e0 = op(e2,e2)
| ~ spl66_42
| ~ spl66_135 ),
inference(forward_demodulation,[],[f1292,f837]) ).
fof(f837,plain,
( e2 = op(e2,e0)
| ~ spl66_42 ),
inference(avatar_component_clause,[],[f835]) ).
fof(f1292,plain,
( e0 = op(e2,op(e2,e0))
| ~ spl66_135 ),
inference(avatar_component_clause,[],[f1291]) ).
fof(f21330,plain,
( e0 = e3
| e3 = op(e3,e2)
| e3 = op(e2,e2)
| e3 = op(e1,e2)
| ~ spl66_72 ),
inference(forward_demodulation,[],[f540,f981]) ).
fof(f981,plain,
( e0 = op(e0,e2)
| ~ spl66_72 ),
inference(avatar_component_clause,[],[f979]) ).
fof(f22521,plain,
( ~ spl66_158
| ~ spl66_161
| spl66_195 ),
inference(avatar_split_clause,[],[f20581,f9319,f1407,f1394]) ).
fof(f1394,plain,
( spl66_158
<=> e3 = op(e1,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl66_158])]) ).
fof(f20581,plain,
( e3 != op(e1,e2)
| ~ spl66_161
| spl66_195 ),
inference(superposition,[],[f9321,f1408]) ).
fof(f9321,plain,
( e3 != op(e1,op(e1,e3))
| spl66_195 ),
inference(avatar_component_clause,[],[f9319]) ).
fof(f22517,plain,
( ~ spl66_164
| ~ spl66_168
| ~ spl66_187 ),
inference(avatar_split_clause,[],[f20669,f1790,f1438,f1420]) ).
fof(f20669,plain,
( e2 != op(e3,e1)
| ~ spl66_168
| ~ spl66_187 ),
inference(trivial_inequality_removal,[],[f20668]) ).
fof(f20668,plain,
( e3 != e3
| e2 != op(e3,e1)
| ~ spl66_168
| ~ spl66_187 ),
inference(forward_demodulation,[],[f20028,f1792]) ).
fof(f20028,plain,
( e3 != op(e1,e0)
| e2 != op(e3,e1)
| ~ spl66_168 ),
inference(trivial_inequality_removal,[],[f19525]) ).
fof(f22509,plain,
( spl66_147
| ~ spl66_42
| ~ spl66_135 ),
inference(avatar_split_clause,[],[f6327,f1291,f835,f1347]) ).
fof(f1347,plain,
( spl66_147
<=> e0 = op(e2,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl66_147])]) ).
fof(f22381,plain,
( spl66_1
| ~ spl66_57
| ~ spl66_147
| ~ spl66_160
| ~ spl66_193
| ~ spl66_196 ),
inference(avatar_split_clause,[],[f22337,f10184,f7893,f1403,f1347,f907,f638]) ).
fof(f7893,plain,
( spl66_193
<=> e2 = op(e2,op(e2,e2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl66_193])]) ).
fof(f10184,plain,
( spl66_196
<=> e1 = op(e2,op(e2,e1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl66_196])]) ).
fof(f22337,plain,
( e0 = e1
| ~ spl66_57
| ~ spl66_147
| ~ spl66_160
| ~ spl66_193
| ~ spl66_196 ),
inference(forward_demodulation,[],[f909,f22319]) ).
fof(f22319,plain,
( e0 = op(e1,e1)
| ~ spl66_147
| ~ spl66_160
| ~ spl66_193
| ~ spl66_196 ),
inference(forward_demodulation,[],[f1348,f22283]) ).
fof(f22283,plain,
( e1 = e2
| ~ spl66_147
| ~ spl66_160
| ~ spl66_193
| ~ spl66_196 ),
inference(forward_demodulation,[],[f20190,f11030]) ).
fof(f11030,plain,
( e1 = op(e2,e0)
| ~ spl66_160
| ~ spl66_196 ),
inference(superposition,[],[f10185,f1404]) ).
fof(f10185,plain,
( e1 = op(e2,op(e2,e1))
| ~ spl66_196 ),
inference(avatar_component_clause,[],[f10184]) ).
fof(f20190,plain,
( e2 = op(e2,e0)
| ~ spl66_147
| ~ spl66_193 ),
inference(superposition,[],[f7894,f1348]) ).
fof(f7894,plain,
( e2 = op(e2,op(e2,e2))
| ~ spl66_193 ),
inference(avatar_component_clause,[],[f7893]) ).
fof(f1348,plain,
( e0 = op(e2,e2)
| ~ spl66_147 ),
inference(avatar_component_clause,[],[f1347]) ).
fof(f22231,plain,
( spl66_4
| ~ spl66_164
| ~ spl66_184 ),
inference(avatar_split_clause,[],[f15921,f1666,f1420,f653]) ).
fof(f15921,plain,
( e1 = e2
| ~ spl66_164
| ~ spl66_184 ),
inference(superposition,[],[f1668,f1421]) ).
fof(f22155,plain,
( ~ spl66_13
| spl66_5
| ~ spl66_167 ),
inference(avatar_split_clause,[],[f22151,f1433,f658,f696]) ).
fof(f22151,plain,
( e1 = e3
| ~ sP61
| ~ spl66_167 ),
inference(forward_demodulation,[],[f258,f1434]) ).
fof(f258,plain,
( e3 = op(e2,e3)
| ~ sP61 ),
inference(cnf_transformation,[],[f125]) ).
fof(f22152,plain,
( ~ spl66_13
| spl66_6
| ~ spl66_153 ),
inference(avatar_split_clause,[],[f22150,f1373,f663,f696]) ).
fof(f22150,plain,
( e2 = e3
| ~ sP61
| ~ spl66_153 ),
inference(forward_demodulation,[],[f260,f1374]) ).
fof(f1374,plain,
( e3 = op(e2,e2)
| ~ spl66_153 ),
inference(avatar_component_clause,[],[f1373]) ).
fof(f22149,plain,
( ~ spl66_14
| spl66_5
| ~ spl66_167 ),
inference(avatar_split_clause,[],[f22148,f1433,f658,f701]) ).
fof(f22148,plain,
( e1 = e3
| ~ sP60
| ~ spl66_167 ),
inference(forward_demodulation,[],[f262,f1434]) ).
fof(f262,plain,
( e3 = op(e2,e3)
| ~ sP60 ),
inference(cnf_transformation,[],[f126]) ).
fof(f22147,plain,
( ~ spl66_40
| spl66_5
| ~ spl66_146 ),
inference(avatar_split_clause,[],[f5282,f1342,f658,f826]) ).
fof(f826,plain,
( spl66_40
<=> sP39 ),
introduced(avatar_definition,[new_symbols(naming,[spl66_40])]) ).
fof(f5282,plain,
( e1 = e3
| ~ sP39
| ~ spl66_146 ),
inference(forward_demodulation,[],[f347,f1343]) ).
fof(f347,plain,
( e1 = op(e0,e1)
| ~ sP39 ),
inference(cnf_transformation,[],[f147]) ).
fof(f147,plain,
( ( e1 = op(e1,e0)
& e1 = op(e0,e1)
& e2 = op(e1,e2)
& e2 = op(e2,e1) )
| ~ sP39 ),
inference(nnf_transformation,[],[f93]) ).
fof(f93,plain,
( ( e1 = op(e1,e0)
& e1 = op(e0,e1)
& e2 = op(e1,e2)
& e2 = op(e2,e1) )
| ~ sP39 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP39])]) ).
fof(f22145,plain,
( ~ spl66_39
| spl66_57 ),
inference(avatar_split_clause,[],[f344,f907,f821]) ).
fof(f821,plain,
( spl66_39
<=> sP40 ),
introduced(avatar_definition,[new_symbols(naming,[spl66_39])]) ).
fof(f344,plain,
( e1 = op(e1,e1)
| ~ sP40 ),
inference(cnf_transformation,[],[f146]) ).
fof(f146,plain,
( ( e1 = op(e1,e1)
& e1 = op(e1,e1)
& e2 = op(e1,e2)
& e2 = op(e2,e1) )
| ~ sP40 ),
inference(nnf_transformation,[],[f94]) ).
fof(f94,plain,
( ( e1 = op(e1,e1)
& e1 = op(e1,e1)
& e2 = op(e1,e2)
& e2 = op(e2,e1) )
| ~ sP40 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP40])]) ).
fof(f22143,plain,
( ~ spl66_69
| spl66_17 ),
inference(avatar_split_clause,[],[f440,f715,f965]) ).
fof(f965,plain,
( spl66_69
<=> sP16 ),
introduced(avatar_definition,[new_symbols(naming,[spl66_69])]) ).
fof(f440,plain,
( e3 = op(e3,e1)
| ~ sP16 ),
inference(cnf_transformation,[],[f170]) ).
fof(f170,plain,
( ( e3 = op(e3,e1)
& e3 = op(e1,e3)
& e0 = op(e3,e0)
& e0 = op(e0,e3) )
| ~ sP16 ),
inference(nnf_transformation,[],[f70]) ).
fof(f70,plain,
( ( e3 = op(e3,e1)
& e3 = op(e1,e3)
& e0 = op(e3,e0)
& e0 = op(e0,e3) )
| ~ sP16 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP16])]) ).
fof(f22141,plain,
( ~ spl66_176
| spl66_140
| ~ spl66_176 ),
inference(avatar_split_clause,[],[f17925,f1491,f1314,f1491]) ).
fof(f1314,plain,
( spl66_140
<=> e0 = op(e3,op(e3,e0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl66_140])]) ).
fof(f17925,plain,
( e0 != op(e3,e0)
| spl66_140
| ~ spl66_176 ),
inference(superposition,[],[f1316,f1493]) ).
fof(f1316,plain,
( e0 != op(e3,op(e3,e0))
| spl66_140 ),
inference(avatar_component_clause,[],[f1314]) ).
fof(f22130,plain,
( spl66_12
| ~ spl66_143
| ~ spl66_165 ),
inference(avatar_split_clause,[],[f20738,f1425,f1329,f691]) ).
fof(f1425,plain,
( spl66_165
<=> e2 = op(e3,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl66_165])]) ).
fof(f20738,plain,
( e3 = op(e3,e2)
| ~ spl66_143
| ~ spl66_165 ),
inference(forward_demodulation,[],[f1330,f1426]) ).
fof(f1426,plain,
( e2 = op(e3,e3)
| ~ spl66_165 ),
inference(avatar_component_clause,[],[f1425]) ).
fof(f22122,plain,
( spl66_144
| ~ spl66_62
| ~ spl66_137 ),
inference(avatar_split_clause,[],[f12052,f1300,f931,f1334]) ).
fof(f1334,plain,
( spl66_144
<=> e0 = op(e1,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl66_144])]) ).
fof(f931,plain,
( spl66_62
<=> e1 = op(e1,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl66_62])]) ).
fof(f1300,plain,
( spl66_137
<=> e0 = op(e1,op(e1,e0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl66_137])]) ).
fof(f12052,plain,
( e0 = op(e1,e1)
| ~ spl66_62
| ~ spl66_137 ),
inference(forward_demodulation,[],[f1301,f933]) ).
fof(f933,plain,
( e1 = op(e1,e0)
| ~ spl66_62 ),
inference(avatar_component_clause,[],[f931]) ).
fof(f1301,plain,
( e0 = op(e1,op(e1,e0))
| ~ spl66_137 ),
inference(avatar_component_clause,[],[f1300]) ).
fof(f21995,plain,
( spl66_160
| spl66_157
| spl66_1
| spl66_3
| ~ spl66_57
| ~ spl66_146 ),
inference(avatar_split_clause,[],[f21950,f1342,f907,f648,f638,f1390,f1403]) ).
fof(f1390,plain,
( spl66_157
<=> e0 = op(e3,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl66_157])]) ).
fof(f21950,plain,
( e0 = e3
| e0 = e1
| e0 = op(e3,e1)
| e0 = op(e2,e1)
| ~ spl66_57
| ~ spl66_146 ),
inference(forward_demodulation,[],[f5011,f1343]) ).
fof(f5011,plain,
( e0 = e1
| e0 = op(e3,e1)
| e0 = op(e2,e1)
| e0 = op(e0,e1)
| ~ spl66_57 ),
inference(forward_demodulation,[],[f526,f909]) ).
fof(f526,plain,
( e0 = op(e3,e1)
| e0 = op(e2,e1)
| e0 = op(e1,e1)
| e0 = op(e0,e1) ),
inference(cnf_transformation,[],[f2]) ).
fof(f21987,plain,
( spl66_164
| spl66_6
| spl66_4
| spl66_2
| ~ spl66_22
| ~ spl66_155
| ~ spl66_159 ),
inference(avatar_split_clause,[],[f21770,f1399,f1381,f739,f643,f653,f663,f1420]) ).
fof(f1399,plain,
( spl66_159
<=> e1 = op(e3,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl66_159])]) ).
fof(f21770,plain,
( e0 = e2
| e1 = e2
| e2 = e3
| e2 = op(e3,e1)
| ~ spl66_22
| ~ spl66_155
| ~ spl66_159 ),
inference(forward_demodulation,[],[f4805,f1382]) ).
fof(f1382,plain,
( e0 = op(e3,e2)
| ~ spl66_155 ),
inference(avatar_component_clause,[],[f1381]) ).
fof(f4805,plain,
( e1 = e2
| e2 = e3
| e2 = op(e3,e2)
| e2 = op(e3,e1)
| ~ spl66_22
| ~ spl66_159 ),
inference(forward_demodulation,[],[f4651,f1400]) ).
fof(f1400,plain,
( e1 = op(e3,e3)
| ~ spl66_159 ),
inference(avatar_component_clause,[],[f1399]) ).
fof(f4651,plain,
( e2 = e3
| e2 = op(e3,e3)
| e2 = op(e3,e2)
| e2 = op(e3,e1)
| ~ spl66_22 ),
inference(forward_demodulation,[],[f545,f741]) ).
fof(f741,plain,
( e3 = op(e3,e0)
| ~ spl66_22 ),
inference(avatar_component_clause,[],[f739]) ).
fof(f21956,plain,
( spl66_148
| spl66_1
| spl66_5
| spl66_4
| ~ spl66_171
| ~ spl66_175
| ~ spl66_187 ),
inference(avatar_split_clause,[],[f21921,f1790,f1487,f1451,f653,f658,f638,f1351]) ).
fof(f1351,plain,
( spl66_148
<=> e1 = op(e3,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl66_148])]) ).
fof(f1487,plain,
( spl66_175
<=> e0 = op(e2,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl66_175])]) ).
fof(f21921,plain,
( e1 = e2
| e1 = e3
| e0 = e1
| e1 = op(e3,e0)
| ~ spl66_171
| ~ spl66_175
| ~ spl66_187 ),
inference(forward_demodulation,[],[f21920,f1452]) ).
fof(f21920,plain,
( e1 = e3
| e0 = e1
| e1 = op(e3,e0)
| op(e0,e0) = e1
| ~ spl66_175
| ~ spl66_187 ),
inference(forward_demodulation,[],[f15457,f1792]) ).
fof(f15457,plain,
( e0 = e1
| e1 = op(e3,e0)
| e1 = op(e1,e0)
| op(e0,e0) = e1
| ~ spl66_175 ),
inference(forward_demodulation,[],[f520,f1489]) ).
fof(f1489,plain,
( e0 = op(e2,e0)
| ~ spl66_175 ),
inference(avatar_component_clause,[],[f1487]) ).
fof(f520,plain,
( e1 = op(e3,e0)
| e1 = op(e2,e0)
| e1 = op(e1,e0)
| op(e0,e0) = e1 ),
inference(cnf_transformation,[],[f2]) ).
fof(f21945,plain,
( spl66_37
| spl66_4
| spl66_6
| spl66_2
| ~ spl66_57
| ~ spl66_146
| ~ spl66_157 ),
inference(avatar_split_clause,[],[f21779,f1390,f1342,f907,f643,f663,f653,f811]) ).
fof(f21779,plain,
( e0 = e2
| e2 = e3
| e1 = e2
| e2 = op(e2,e1)
| ~ spl66_57
| ~ spl66_146
| ~ spl66_157 ),
inference(forward_demodulation,[],[f16335,f1391]) ).
fof(f1391,plain,
( e0 = op(e3,e1)
| ~ spl66_157 ),
inference(avatar_component_clause,[],[f1390]) ).
fof(f16335,plain,
( e2 = e3
| e1 = e2
| e2 = op(e3,e1)
| e2 = op(e2,e1)
| ~ spl66_57
| ~ spl66_146 ),
inference(forward_demodulation,[],[f5013,f1343]) ).
fof(f21939,plain,
( spl66_6
| spl66_2
| spl66_4
| ~ spl66_57
| ~ spl66_146
| ~ spl66_157
| ~ spl66_190 ),
inference(avatar_split_clause,[],[f21905,f3071,f1390,f1342,f907,f653,f643,f663]) ).
fof(f3071,plain,
( spl66_190
<=> e1 = op(e2,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl66_190])]) ).
fof(f21905,plain,
( e1 = e2
| e0 = e2
| e2 = e3
| ~ spl66_57
| ~ spl66_146
| ~ spl66_157
| ~ spl66_190 ),
inference(duplicate_literal_removal,[],[f21904]) ).
fof(f21904,plain,
( e1 = e2
| e0 = e2
| e2 = e3
| e1 = e2
| ~ spl66_57
| ~ spl66_146
| ~ spl66_157
| ~ spl66_190 ),
inference(forward_demodulation,[],[f21877,f909]) ).
fof(f21877,plain,
( e0 = e2
| e2 = e3
| e1 = e2
| e2 = op(e1,e1)
| ~ spl66_146
| ~ spl66_157
| ~ spl66_190 ),
inference(forward_demodulation,[],[f4955,f1391]) ).
fof(f4955,plain,
( e2 = e3
| e1 = e2
| e2 = op(e3,e1)
| e2 = op(e1,e1)
| ~ spl66_146
| ~ spl66_190 ),
inference(forward_demodulation,[],[f4654,f1343]) ).
fof(f4654,plain,
( e1 = e2
| e2 = op(e3,e1)
| e2 = op(e1,e1)
| e2 = op(e0,e1)
| ~ spl66_190 ),
inference(forward_demodulation,[],[f530,f3073]) ).
fof(f3073,plain,
( e1 = op(e2,e1)
| ~ spl66_190 ),
inference(avatar_component_clause,[],[f3071]) ).
fof(f21900,plain,
( spl66_6
| spl66_4
| spl66_2
| ~ spl66_22
| ~ spl66_155
| ~ spl66_157
| ~ spl66_159 ),
inference(avatar_split_clause,[],[f21772,f1399,f1390,f1381,f739,f643,f653,f663]) ).
fof(f21772,plain,
( e0 = e2
| e1 = e2
| e2 = e3
| ~ spl66_22
| ~ spl66_155
| ~ spl66_157
| ~ spl66_159 ),
inference(duplicate_literal_removal,[],[f21771]) ).
fof(f21771,plain,
( e0 = e2
| e0 = e2
| e1 = e2
| e2 = e3
| ~ spl66_22
| ~ spl66_155
| ~ spl66_157
| ~ spl66_159 ),
inference(forward_demodulation,[],[f21770,f1391]) ).
fof(f21891,plain,
( spl66_158
| ~ spl66_161
| ~ spl66_195 ),
inference(avatar_split_clause,[],[f16330,f9319,f1407,f1394]) ).
fof(f16330,plain,
( e3 = op(e1,e2)
| ~ spl66_161
| ~ spl66_195 ),
inference(superposition,[],[f9320,f1408]) ).
fof(f21886,plain,
( ~ spl66_58
| spl66_52 ),
inference(avatar_split_clause,[],[f404,f883,f912]) ).
fof(f912,plain,
( spl66_58
<=> sP25 ),
introduced(avatar_definition,[new_symbols(naming,[spl66_58])]) ).
fof(f883,plain,
( spl66_52
<=> e1 = op(e1,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl66_52])]) ).
fof(f404,plain,
( e1 = op(e1,e2)
| ~ sP25 ),
inference(cnf_transformation,[],[f161]) ).
fof(f161,plain,
( ( e1 = op(e1,e2)
& e1 = op(e2,e1)
& e1 = op(e1,e1)
& e1 = op(e1,e1) )
| ~ sP25 ),
inference(nnf_transformation,[],[f79]) ).
fof(f79,plain,
( ( e1 = op(e1,e2)
& e1 = op(e2,e1)
& e1 = op(e1,e1)
& e1 = op(e1,e1) )
| ~ sP25 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP25])]) ).
fof(f21867,plain,
( ~ spl66_58
| spl66_190 ),
inference(avatar_split_clause,[],[f403,f3071,f912]) ).
fof(f403,plain,
( e1 = op(e2,e1)
| ~ sP25 ),
inference(cnf_transformation,[],[f161]) ).
fof(f21865,plain,
( ~ spl66_177
| spl66_113
| ~ spl66_178 ),
inference(avatar_split_clause,[],[f16274,f1507,f1182,f1503]) ).
fof(f1503,plain,
( spl66_177
<=> e1 = op(e0,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl66_177])]) ).
fof(f1182,plain,
( spl66_113
<=> op(e0,e1) = op(e0,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl66_113])]) ).
fof(f16274,plain,
( e1 != op(e0,e1)
| spl66_113
| ~ spl66_178 ),
inference(superposition,[],[f1184,f1509]) ).
fof(f1184,plain,
( op(e0,e1) != op(e0,e2)
| spl66_113 ),
inference(avatar_component_clause,[],[f1182]) ).
fof(f21862,plain,
( ~ spl66_67
| ~ spl66_67
| spl66_139
| ~ spl66_200 ),
inference(avatar_split_clause,[],[f21748,f15284,f1309,f955,f955]) ).
fof(f955,plain,
( spl66_67
<=> e0 = op(e0,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl66_67])]) ).
fof(f21748,plain,
( e0 != op(e0,e3)
| ~ spl66_67
| spl66_139
| ~ spl66_200 ),
inference(forward_demodulation,[],[f1311,f21688]) ).
fof(f21688,plain,
( op(e0,e0) = e3
| ~ spl66_67
| ~ spl66_200 ),
inference(superposition,[],[f15285,f957]) ).
fof(f957,plain,
( e0 = op(e0,e3)
| ~ spl66_67 ),
inference(avatar_component_clause,[],[f955]) ).
fof(f15285,plain,
( e3 = op(e0,op(e0,e3))
| ~ spl66_200 ),
inference(avatar_component_clause,[],[f15284]) ).
fof(f1311,plain,
( e0 != op(e0,op(e0,e0))
| spl66_139 ),
inference(avatar_component_clause,[],[f1309]) ).
fof(f21769,plain,
( spl66_6
| ~ spl66_146
| ~ spl66_178
| ~ spl66_198 ),
inference(avatar_split_clause,[],[f21747,f11889,f1507,f1342,f663]) ).
fof(f21747,plain,
( e2 = e3
| ~ spl66_146
| ~ spl66_178
| ~ spl66_198 ),
inference(forward_demodulation,[],[f1343,f21059]) ).
fof(f21690,plain,
( ~ spl66_18
| spl66_190 ),
inference(avatar_split_clause,[],[f275,f3071,f720]) ).
fof(f720,plain,
( spl66_18
<=> sP57 ),
introduced(avatar_definition,[new_symbols(naming,[spl66_18])]) ).
fof(f275,plain,
( e1 = op(e2,e1)
| ~ sP57 ),
inference(cnf_transformation,[],[f129]) ).
fof(f129,plain,
( ( e1 = op(e1,e2)
& e1 = op(e2,e1)
& e3 = op(e1,e3)
& e3 = op(e3,e1) )
| ~ sP57 ),
inference(nnf_transformation,[],[f111]) ).
fof(f111,plain,
( ( e1 = op(e1,e2)
& e1 = op(e2,e1)
& e3 = op(e1,e3)
& e3 = op(e3,e1) )
| ~ sP57 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP57])]) ).
fof(f21689,plain,
( spl66_157
| spl66_2
| spl66_1
| ~ spl66_177
| ~ spl66_188
| ~ spl66_190 ),
inference(avatar_split_clause,[],[f21670,f3071,f1796,f1503,f638,f643,f1390]) ).
fof(f1796,plain,
( spl66_188
<=> e2 = op(e1,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl66_188])]) ).
fof(f21670,plain,
( e0 = e1
| e0 = e2
| e0 = op(e3,e1)
| ~ spl66_177
| ~ spl66_188
| ~ spl66_190 ),
inference(duplicate_literal_removal,[],[f21669]) ).
fof(f21669,plain,
( e0 = e1
| e0 = e2
| e0 = e1
| e0 = op(e3,e1)
| ~ spl66_177
| ~ spl66_188
| ~ spl66_190 ),
inference(forward_demodulation,[],[f10173,f1505]) ).
fof(f1505,plain,
( e1 = op(e0,e1)
| ~ spl66_177 ),
inference(avatar_component_clause,[],[f1503]) ).
fof(f10173,plain,
( e0 = e2
| e0 = e1
| e0 = op(e3,e1)
| e0 = op(e0,e1)
| ~ spl66_188
| ~ spl66_190 ),
inference(forward_demodulation,[],[f4653,f1798]) ).
fof(f1798,plain,
( e2 = op(e1,e1)
| ~ spl66_188 ),
inference(avatar_component_clause,[],[f1796]) ).
fof(f4653,plain,
( e0 = e1
| e0 = op(e3,e1)
| e0 = op(e1,e1)
| e0 = op(e0,e1)
| ~ spl66_190 ),
inference(forward_demodulation,[],[f526,f3073]) ).
fof(f21682,plain,
( spl66_67
| ~ spl66_139
| ~ spl66_185 ),
inference(avatar_split_clause,[],[f11744,f1770,f1309,f955]) ).
fof(f1770,plain,
( spl66_185
<=> op(e0,e0) = e3 ),
introduced(avatar_definition,[new_symbols(naming,[spl66_185])]) ).
fof(f11744,plain,
( e0 = op(e0,e3)
| ~ spl66_139
| ~ spl66_185 ),
inference(superposition,[],[f1310,f1772]) ).
fof(f1772,plain,
( op(e0,e0) = e3
| ~ spl66_185 ),
inference(avatar_component_clause,[],[f1770]) ).
fof(f21667,plain,
( ~ spl66_55
| spl66_190 ),
inference(avatar_split_clause,[],[f394,f3071,f898]) ).
fof(f898,plain,
( spl66_55
<=> sP27 ),
introduced(avatar_definition,[new_symbols(naming,[spl66_55])]) ).
fof(f394,plain,
( e1 = op(e2,e1)
| ~ sP27 ),
inference(cnf_transformation,[],[f159]) ).
fof(f159,plain,
( ( e2 = op(e2,e0)
& e2 = op(e0,e2)
& e1 = op(e2,e1)
& e1 = op(e1,e2) )
| ~ sP27 ),
inference(nnf_transformation,[],[f81]) ).
fof(f81,plain,
( ( e2 = op(e2,e0)
& e2 = op(e0,e2)
& e1 = op(e2,e1)
& e1 = op(e1,e2) )
| ~ sP27 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP27])]) ).
fof(f21659,plain,
( spl66_52
| ~ spl66_188
| ~ spl66_197 ),
inference(avatar_split_clause,[],[f18093,f11032,f1796,f883]) ).
fof(f11032,plain,
( spl66_197
<=> e1 = op(e1,op(e1,e1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl66_197])]) ).
fof(f18093,plain,
( e1 = op(e1,e2)
| ~ spl66_188
| ~ spl66_197 ),
inference(forward_demodulation,[],[f11033,f1798]) ).
fof(f11033,plain,
( e1 = op(e1,op(e1,e1))
| ~ spl66_197 ),
inference(avatar_component_clause,[],[f11032]) ).
fof(f21625,plain,
( ~ spl66_68
| spl66_5
| ~ spl66_167 ),
inference(avatar_split_clause,[],[f21623,f1433,f658,f960]) ).
fof(f960,plain,
( spl66_68
<=> sP17 ),
introduced(avatar_definition,[new_symbols(naming,[spl66_68])]) ).
fof(f21623,plain,
( e1 = e3
| ~ sP17
| ~ spl66_167 ),
inference(forward_demodulation,[],[f435,f1434]) ).
fof(f435,plain,
( e3 = op(e2,e3)
| ~ sP17 ),
inference(cnf_transformation,[],[f169]) ).
fof(f169,plain,
( ( e3 = op(e3,e2)
& e3 = op(e2,e3)
& e0 = op(e3,e0)
& e0 = op(e0,e3) )
| ~ sP17 ),
inference(nnf_transformation,[],[f71]) ).
fof(f71,plain,
( ( e3 = op(e3,e2)
& e3 = op(e2,e3)
& e0 = op(e3,e0)
& e0 = op(e0,e3) )
| ~ sP17 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP17])]) ).
fof(f21622,plain,
( ~ spl66_20
| spl66_1
| ~ spl66_174 ),
inference(avatar_split_clause,[],[f21621,f1483,f638,f730]) ).
fof(f730,plain,
( spl66_20
<=> sP55 ),
introduced(avatar_definition,[new_symbols(naming,[spl66_20])]) ).
fof(f1483,plain,
( spl66_174
<=> e0 = op(e1,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl66_174])]) ).
fof(f21621,plain,
( e0 = e1
| ~ sP55
| ~ spl66_174 ),
inference(forward_demodulation,[],[f284,f1485]) ).
fof(f1485,plain,
( e0 = op(e1,e0)
| ~ spl66_174 ),
inference(avatar_component_clause,[],[f1483]) ).
fof(f284,plain,
( e1 = op(e1,e0)
| ~ sP55 ),
inference(cnf_transformation,[],[f131]) ).
fof(f131,plain,
( ( e1 = op(e1,e0)
& e1 = op(e0,e1)
& e3 = op(e1,e3)
& e3 = op(e3,e1) )
| ~ sP55 ),
inference(nnf_transformation,[],[f109]) ).
fof(f109,plain,
( ( e1 = op(e1,e0)
& e1 = op(e0,e1)
& e3 = op(e1,e3)
& e3 = op(e3,e1) )
| ~ sP55 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP55])]) ).
fof(f21620,plain,
( ~ spl66_18
| spl66_1
| ~ spl66_160 ),
inference(avatar_split_clause,[],[f21619,f1403,f638,f720]) ).
fof(f21619,plain,
( e0 = e1
| ~ sP57
| ~ spl66_160 ),
inference(forward_demodulation,[],[f275,f1404]) ).
fof(f21618,plain,
( ~ spl66_55
| spl66_1
| ~ spl66_160 ),
inference(avatar_split_clause,[],[f21616,f1403,f638,f898]) ).
fof(f21616,plain,
( e0 = e1
| ~ sP27
| ~ spl66_160 ),
inference(forward_demodulation,[],[f394,f1404]) ).
fof(f21615,plain,
( ~ spl66_69
| spl66_1
| ~ spl66_148 ),
inference(avatar_split_clause,[],[f21570,f1351,f638,f965]) ).
fof(f21570,plain,
( e0 = e1
| ~ sP16
| ~ spl66_148 ),
inference(forward_demodulation,[],[f438,f1352]) ).
fof(f1352,plain,
( e1 = op(e3,e0)
| ~ spl66_148 ),
inference(avatar_component_clause,[],[f1351]) ).
fof(f438,plain,
( e0 = op(e3,e0)
| ~ sP16 ),
inference(cnf_transformation,[],[f170]) ).
fof(f21614,plain,
( ~ spl66_138
| ~ spl66_183 ),
inference(avatar_split_clause,[],[f20248,f1603,f1305]) ).
fof(f1305,plain,
( spl66_138
<=> sP0 ),
introduced(avatar_definition,[new_symbols(naming,[spl66_138])]) ).
fof(f1603,plain,
( spl66_183
<=> e2 = op(e0,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl66_183])]) ).
fof(f20248,plain,
( ~ sP0
| ~ spl66_183 ),
inference(trivial_inequality_removal,[],[f6373]) ).
fof(f6373,plain,
( e2 != e2
| ~ sP0
| ~ spl66_183 ),
inference(forward_demodulation,[],[f6372,f1605]) ).
fof(f1605,plain,
( e2 = op(e0,e2)
| ~ spl66_183 ),
inference(avatar_component_clause,[],[f1603]) ).
fof(f6372,plain,
( e2 != op(e0,e2)
| ~ sP0
| ~ spl66_183 ),
inference(forward_demodulation,[],[f503,f1605]) ).
fof(f503,plain,
( e2 != op(e0,op(e0,e2))
| ~ sP0 ),
inference(cnf_transformation,[],[f186]) ).
fof(f186,plain,
( ( e3 != op(e0,op(e0,e3))
& e2 != op(e0,op(e0,e2))
& e1 != op(e0,op(e0,e1))
& e0 != op(e0,op(e0,e0)) )
| ~ sP0 ),
inference(nnf_transformation,[],[f54]) ).
fof(f54,plain,
( ( e3 != op(e0,op(e0,e3))
& e2 != op(e0,op(e0,e2))
& e1 != op(e0,op(e0,e1))
& e0 != op(e0,op(e0,e0)) )
| ~ sP0 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
fof(f21562,plain,
( spl66_47
| spl66_4
| spl66_1
| ~ spl66_144
| ~ spl66_174
| ~ spl66_189 ),
inference(avatar_split_clause,[],[f21547,f1800,f1483,f1334,f638,f653,f859]) ).
fof(f21547,plain,
( e0 = e1
| e1 = e2
| e1 = op(e1,e3)
| ~ spl66_144
| ~ spl66_174
| ~ spl66_189 ),
inference(duplicate_literal_removal,[],[f21546]) ).
fof(f21546,plain,
( e0 = e1
| e1 = e2
| e0 = e1
| e1 = op(e1,e3)
| ~ spl66_144
| ~ spl66_174
| ~ spl66_189 ),
inference(forward_demodulation,[],[f21545,f1485]) ).
fof(f21545,plain,
( e1 = e2
| e0 = e1
| e1 = op(e1,e3)
| e1 = op(e1,e0)
| ~ spl66_144
| ~ spl66_189 ),
inference(forward_demodulation,[],[f19917,f1802]) ).
fof(f19917,plain,
( e0 = e1
| e1 = op(e1,e3)
| e1 = op(e1,e2)
| e1 = op(e1,e0)
| ~ spl66_144 ),
inference(forward_demodulation,[],[f527,f1335]) ).
fof(f1335,plain,
( e0 = op(e1,e1)
| ~ spl66_144 ),
inference(avatar_component_clause,[],[f1334]) ).
fof(f527,plain,
( e1 = op(e1,e3)
| e1 = op(e1,e2)
| e1 = op(e1,e1)
| e1 = op(e1,e0) ),
inference(cnf_transformation,[],[f2]) ).
fof(f21539,plain,
( spl66_167
| spl66_5
| spl66_4
| spl66_1
| ~ spl66_42
| ~ spl66_153
| ~ spl66_160 ),
inference(avatar_split_clause,[],[f21377,f1403,f1373,f835,f638,f653,f658,f1433]) ).
fof(f21377,plain,
( e0 = e1
| e1 = e2
| e1 = e3
| e1 = op(e2,e3)
| ~ spl66_42
| ~ spl66_153
| ~ spl66_160 ),
inference(forward_demodulation,[],[f18232,f1404]) ).
fof(f18232,plain,
( e1 = e2
| e1 = e3
| e1 = op(e2,e3)
| e1 = op(e2,e1)
| ~ spl66_42
| ~ spl66_153 ),
inference(forward_demodulation,[],[f10215,f837]) ).
fof(f10215,plain,
( e1 = e3
| e1 = op(e2,e3)
| e1 = op(e2,e1)
| e1 = op(e2,e0)
| ~ spl66_153 ),
inference(forward_demodulation,[],[f535,f1374]) ).
fof(f535,plain,
( e1 = op(e2,e3)
| e1 = op(e2,e2)
| e1 = op(e2,e1)
| e1 = op(e2,e0) ),
inference(cnf_transformation,[],[f2]) ).
fof(f21448,plain,
( spl66_184
| spl66_5
| spl66_4
| spl66_1
| ~ spl66_160
| ~ spl66_162
| ~ spl66_182 ),
inference(avatar_split_clause,[],[f18469,f1599,f1412,f1403,f638,f653,f658,f1666]) ).
fof(f1412,plain,
( spl66_162
<=> e3 = op(e1,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl66_162])]) ).
fof(f1599,plain,
( spl66_182
<=> e2 = op(e0,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl66_182])]) ).
fof(f18469,plain,
( e0 = e1
| e1 = e2
| e1 = e3
| e1 = op(e3,e1)
| ~ spl66_160
| ~ spl66_162
| ~ spl66_182 ),
inference(forward_demodulation,[],[f16833,f1404]) ).
fof(f16833,plain,
( e1 = e2
| e1 = e3
| e1 = op(e3,e1)
| e1 = op(e2,e1)
| ~ spl66_162
| ~ spl66_182 ),
inference(forward_demodulation,[],[f15704,f1601]) ).
fof(f1601,plain,
( e2 = op(e0,e1)
| ~ spl66_182 ),
inference(avatar_component_clause,[],[f1599]) ).
fof(f15704,plain,
( e1 = e3
| e1 = op(e3,e1)
| e1 = op(e2,e1)
| e1 = op(e0,e1)
| ~ spl66_162 ),
inference(forward_demodulation,[],[f528,f1413]) ).
fof(f1413,plain,
( e3 = op(e1,e1)
| ~ spl66_162 ),
inference(avatar_component_clause,[],[f1412]) ).
fof(f528,plain,
( e1 = op(e3,e1)
| e1 = op(e2,e1)
| e1 = op(e1,e1)
| e1 = op(e0,e1) ),
inference(cnf_transformation,[],[f2]) ).
fof(f21443,plain,
( ~ spl66_147
| ~ spl66_42
| spl66_135 ),
inference(avatar_split_clause,[],[f21316,f1291,f835,f1347]) ).
fof(f21316,plain,
( e0 != op(e2,e2)
| ~ spl66_42
| spl66_135 ),
inference(forward_demodulation,[],[f1293,f837]) ).
fof(f1293,plain,
( e0 != op(e2,op(e2,e0))
| spl66_135 ),
inference(avatar_component_clause,[],[f1291]) ).
fof(f21317,plain,
( ~ spl66_161
| ~ spl66_148
| ~ spl66_185 ),
inference(avatar_split_clause,[],[f21086,f1770,f1351,f1407]) ).
fof(f21086,plain,
( e1 != op(e3,e0)
| e2 != op(e1,e3)
| ~ spl66_185 ),
inference(trivial_inequality_removal,[],[f21085]) ).
fof(f21085,plain,
( e3 != e3
| e1 != op(e3,e0)
| e2 != op(e1,e3)
| ~ spl66_185 ),
inference(forward_demodulation,[],[f628,f1772]) ).
fof(f628,plain,
( e1 != op(e3,e0)
| e2 != op(e1,e3)
| op(e0,e0) != e3 ),
inference(inner_rewriting,[],[f627]) ).
fof(f627,plain,
( e1 != op(op(e0,e0),e0)
| e2 != op(e1,op(e0,e0))
| op(e0,e0) != e3 ),
inference(inner_rewriting,[],[f584]) ).
fof(f584,plain,
( e1 != op(op(e0,e0),e0)
| e2 != op(op(op(e0,e0),e0),op(e0,e0))
| op(e0,e0) != e3 ),
inference(cnf_transformation,[],[f49]) ).
fof(f49,plain,
( e1 != op(op(e0,e0),e0)
| e2 != op(op(op(e0,e0),e0),op(e0,e0))
| op(e0,e0) != e3 ),
inference(ennf_transformation,[],[f25]) ).
fof(f25,axiom,
~ ( e1 = op(op(e0,e0),e0)
& e2 = op(op(op(e0,e0),e0),op(e0,e0))
& op(e0,e0) = e3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax25) ).
fof(f21315,plain,
( spl66_3
| spl66_5
| spl66_6
| ~ spl66_42
| ~ spl66_135
| ~ spl66_163
| ~ spl66_190 ),
inference(avatar_split_clause,[],[f21219,f3071,f1416,f1291,f835,f663,f658,f648]) ).
fof(f21219,plain,
( e2 = e3
| e1 = e3
| e0 = e3
| ~ spl66_42
| ~ spl66_135
| ~ spl66_163
| ~ spl66_190 ),
inference(forward_demodulation,[],[f21191,f837]) ).
fof(f21191,plain,
( e1 = e3
| e0 = e3
| e3 = op(e2,e0)
| ~ spl66_42
| ~ spl66_135
| ~ spl66_163
| ~ spl66_190 ),
inference(forward_demodulation,[],[f21063,f3073]) ).
fof(f21063,plain,
( e0 = e3
| e3 = op(e2,e1)
| e3 = op(e2,e0)
| ~ spl66_42
| ~ spl66_135
| ~ spl66_163 ),
inference(duplicate_literal_removal,[],[f6401]) ).
fof(f6401,plain,
( e0 = e3
| e0 = e3
| e3 = op(e2,e1)
| e3 = op(e2,e0)
| ~ spl66_42
| ~ spl66_135
| ~ spl66_163 ),
inference(forward_demodulation,[],[f4275,f6327]) ).
fof(f4275,plain,
( e0 = e3
| e3 = op(e2,e2)
| e3 = op(e2,e1)
| e3 = op(e2,e0)
| ~ spl66_163 ),
inference(forward_demodulation,[],[f539,f1417]) ).
fof(f539,plain,
( e3 = op(e2,e3)
| e3 = op(e2,e2)
| e3 = op(e2,e1)
| e3 = op(e2,e0) ),
inference(cnf_transformation,[],[f2]) ).
fof(f21215,plain,
( spl66_3
| ~ spl66_17
| ~ spl66_144
| ~ spl66_148
| ~ spl66_174
| ~ spl66_197 ),
inference(avatar_split_clause,[],[f21205,f11032,f1483,f1351,f1334,f715,f648]) ).
fof(f21205,plain,
( e0 = e3
| ~ spl66_17
| ~ spl66_144
| ~ spl66_148
| ~ spl66_174
| ~ spl66_197 ),
inference(forward_demodulation,[],[f21204,f21173]) ).
fof(f21173,plain,
( e0 = e1
| ~ spl66_144
| ~ spl66_174
| ~ spl66_197 ),
inference(forward_demodulation,[],[f12057,f1485]) ).
fof(f12057,plain,
( e1 = op(e1,e0)
| ~ spl66_144
| ~ spl66_197 ),
inference(superposition,[],[f11033,f1335]) ).
fof(f21204,plain,
( e1 = e3
| ~ spl66_17
| ~ spl66_144
| ~ spl66_148
| ~ spl66_174
| ~ spl66_197 ),
inference(forward_demodulation,[],[f21203,f1352]) ).
fof(f21203,plain,
( e3 = op(e3,e0)
| ~ spl66_17
| ~ spl66_144
| ~ spl66_174
| ~ spl66_197 ),
inference(forward_demodulation,[],[f717,f21173]) ).
fof(f717,plain,
( e3 = op(e3,e1)
| ~ spl66_17 ),
inference(avatar_component_clause,[],[f715]) ).
fof(f21062,plain,
( ~ spl66_169
| ~ spl66_167
| spl66_194 ),
inference(avatar_split_clause,[],[f20467,f9000,f1433,f1442]) ).
fof(f1442,plain,
( spl66_169
<=> e3 = op(e2,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl66_169])]) ).
fof(f9000,plain,
( spl66_194
<=> e3 = op(e2,op(e2,e3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl66_194])]) ).
fof(f20467,plain,
( e3 != op(e2,e1)
| ~ spl66_167
| spl66_194 ),
inference(forward_demodulation,[],[f9002,f1434]) ).
fof(f9002,plain,
( e3 != op(e2,op(e2,e3))
| spl66_194 ),
inference(avatar_component_clause,[],[f9000]) ).
fof(f21060,plain,
( ~ spl66_185
| ~ spl66_67
| spl66_200 ),
inference(avatar_split_clause,[],[f19509,f15284,f955,f1770]) ).
fof(f19509,plain,
( op(e0,e0) != e3
| ~ spl66_67
| spl66_200 ),
inference(forward_demodulation,[],[f15286,f957]) ).
fof(f21053,plain,
( spl66_178
| ~ spl66_182
| ~ spl66_199 ),
inference(avatar_split_clause,[],[f15551,f15278,f1599,f1507]) ).
fof(f15278,plain,
( spl66_199
<=> e1 = op(e0,op(e0,e1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl66_199])]) ).
fof(f15551,plain,
( e1 = op(e0,e2)
| ~ spl66_182
| ~ spl66_199 ),
inference(forward_demodulation,[],[f15279,f1601]) ).
fof(f15279,plain,
( e1 = op(e0,op(e0,e1))
| ~ spl66_199 ),
inference(avatar_component_clause,[],[f15278]) ).
fof(f21012,plain,
( ~ spl66_58
| spl66_5
| ~ spl66_169 ),
inference(avatar_split_clause,[],[f21009,f1442,f658,f912]) ).
fof(f21009,plain,
( e1 = e3
| ~ sP25
| ~ spl66_169 ),
inference(forward_demodulation,[],[f403,f1443]) ).
fof(f1443,plain,
( e3 = op(e2,e1)
| ~ spl66_169 ),
inference(avatar_component_clause,[],[f1442]) ).
fof(f21008,plain,
( ~ spl66_60
| spl66_4
| ~ spl66_182 ),
inference(avatar_split_clause,[],[f20967,f1599,f653,f922]) ).
fof(f922,plain,
( spl66_60
<=> sP23 ),
introduced(avatar_definition,[new_symbols(naming,[spl66_60])]) ).
fof(f20967,plain,
( e1 = e2
| ~ sP23
| ~ spl66_182 ),
inference(forward_demodulation,[],[f411,f1601]) ).
fof(f411,plain,
( e1 = op(e0,e1)
| ~ sP23 ),
inference(cnf_transformation,[],[f163]) ).
fof(f163,plain,
( ( e1 = op(e1,e0)
& e1 = op(e0,e1)
& e1 = op(e1,e1)
& e1 = op(e1,e1) )
| ~ sP23 ),
inference(nnf_transformation,[],[f77]) ).
fof(f77,plain,
( ( e1 = op(e1,e0)
& e1 = op(e0,e1)
& e1 = op(e1,e1)
& e1 = op(e1,e1) )
| ~ sP23 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP23])]) ).
fof(f20959,plain,
( spl66_156
| spl66_1
| spl66_5
| spl66_4
| ~ spl66_42
| ~ spl66_163
| ~ spl66_169 ),
inference(avatar_split_clause,[],[f11781,f1442,f1416,f835,f653,f658,f638,f1386]) ).
fof(f11781,plain,
( e1 = e2
| e1 = e3
| e0 = e1
| e1 = op(e2,e2)
| ~ spl66_42
| ~ spl66_163
| ~ spl66_169 ),
inference(forward_demodulation,[],[f11780,f837]) ).
fof(f11780,plain,
( e1 = e3
| e0 = e1
| e1 = op(e2,e2)
| e1 = op(e2,e0)
| ~ spl66_163
| ~ spl66_169 ),
inference(forward_demodulation,[],[f6405,f1443]) ).
fof(f6405,plain,
( e0 = e1
| e1 = op(e2,e2)
| e1 = op(e2,e1)
| e1 = op(e2,e0)
| ~ spl66_163 ),
inference(forward_demodulation,[],[f535,f1417]) ).
fof(f20952,plain,
( ~ spl66_157
| spl66_140
| ~ spl66_148 ),
inference(avatar_split_clause,[],[f20008,f1351,f1314,f1390]) ).
fof(f20008,plain,
( e0 != op(e3,e1)
| spl66_140
| ~ spl66_148 ),
inference(forward_demodulation,[],[f1316,f1352]) ).
fof(f20924,plain,
( spl66_6
| ~ spl66_154
| ~ spl66_182
| ~ spl66_200 ),
inference(avatar_split_clause,[],[f20909,f15284,f1599,f1377,f663]) ).
fof(f20909,plain,
( e2 = e3
| ~ spl66_154
| ~ spl66_182
| ~ spl66_200 ),
inference(forward_demodulation,[],[f20908,f1601]) ).
fof(f20908,plain,
( e3 = op(e0,e1)
| ~ spl66_154
| ~ spl66_200 ),
inference(superposition,[],[f15285,f1378]) ).
fof(f20830,plain,
( ~ spl66_48
| spl66_3
| ~ spl66_163 ),
inference(avatar_split_clause,[],[f20822,f1416,f648,f864]) ).
fof(f864,plain,
( spl66_48
<=> sP33 ),
introduced(avatar_definition,[new_symbols(naming,[spl66_48])]) ).
fof(f20822,plain,
( e0 = e3
| ~ sP33
| ~ spl66_163 ),
inference(forward_demodulation,[],[f371,f1417]) ).
fof(f371,plain,
( e3 = op(e2,e3)
| ~ sP33 ),
inference(cnf_transformation,[],[f153]) ).
fof(f153,plain,
( ( e3 = op(e3,e2)
& e3 = op(e2,e3)
& e1 = op(e3,e1)
& e1 = op(e1,e3) )
| ~ sP33 ),
inference(nnf_transformation,[],[f87]) ).
fof(f87,plain,
( ( e3 = op(e3,e2)
& e3 = op(e2,e3)
& e1 = op(e3,e1)
& e1 = op(e1,e3) )
| ~ sP33 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP33])]) ).
fof(f20816,plain,
( spl66_150
| spl66_3
| spl66_1
| ~ spl66_12
| ~ spl66_17
| ~ spl66_148 ),
inference(avatar_split_clause,[],[f20742,f1351,f715,f691,f638,f648,f1360]) ).
fof(f20742,plain,
( e0 = e1
| e0 = e3
| e0 = op(e3,e3)
| ~ spl66_12
| ~ spl66_17
| ~ spl66_148 ),
inference(forward_demodulation,[],[f20741,f1352]) ).
fof(f20741,plain,
( e0 = e3
| e0 = op(e3,e3)
| e0 = op(e3,e0)
| ~ spl66_12
| ~ spl66_17 ),
inference(duplicate_literal_removal,[],[f20740]) ).
fof(f20740,plain,
( e0 = e3
| e0 = e3
| e0 = op(e3,e3)
| e0 = op(e3,e0)
| ~ spl66_12
| ~ spl66_17 ),
inference(forward_demodulation,[],[f19895,f693]) ).
fof(f19895,plain,
( e0 = e3
| e0 = op(e3,e3)
| e0 = op(e3,e2)
| e0 = op(e3,e0)
| ~ spl66_17 ),
inference(forward_demodulation,[],[f541,f717]) ).
fof(f541,plain,
( e0 = op(e3,e3)
| e0 = op(e3,e2)
| e0 = op(e3,e1)
| e0 = op(e3,e0) ),
inference(cnf_transformation,[],[f2]) ).
fof(f20814,plain,
( ~ spl66_67
| spl66_105
| ~ spl66_163 ),
inference(avatar_split_clause,[],[f15820,f1416,f1142,f955]) ).
fof(f1142,plain,
( spl66_105
<=> op(e0,e3) = op(e2,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl66_105])]) ).
fof(f15820,plain,
( e0 != op(e0,e3)
| spl66_105
| ~ spl66_163 ),
inference(superposition,[],[f1144,f1417]) ).
fof(f1144,plain,
( op(e0,e3) != op(e2,e3)
| spl66_105 ),
inference(avatar_component_clause,[],[f1142]) ).
fof(f20678,plain,
( ~ spl66_164
| ~ spl66_168
| ~ spl66_187 ),
inference(avatar_split_clause,[],[f20669,f1790,f1438,f1420]) ).
fof(f20667,plain,
( spl66_164
| spl66_6
| spl66_4
| spl66_2
| ~ spl66_12
| ~ spl66_159
| ~ spl66_176 ),
inference(avatar_split_clause,[],[f20635,f1491,f1399,f691,f643,f653,f663,f1420]) ).
fof(f20635,plain,
( e0 = e2
| e1 = e2
| e2 = e3
| e2 = op(e3,e1)
| ~ spl66_12
| ~ spl66_159
| ~ spl66_176 ),
inference(forward_demodulation,[],[f17308,f1493]) ).
fof(f17308,plain,
( e1 = e2
| e2 = e3
| e2 = op(e3,e1)
| e2 = op(e3,e0)
| ~ spl66_12
| ~ spl66_159 ),
inference(forward_demodulation,[],[f3283,f1400]) ).
fof(f3283,plain,
( e2 = e3
| e2 = op(e3,e3)
| e2 = op(e3,e1)
| e2 = op(e3,e0)
| ~ spl66_12 ),
inference(forward_demodulation,[],[f545,f693]) ).
fof(f20660,plain,
( spl66_172
| spl66_1
| spl66_4
| ~ spl66_147
| ~ spl66_166
| ~ spl66_183 ),
inference(avatar_split_clause,[],[f20525,f1603,f1429,f1347,f653,f638,f1455]) ).
fof(f20525,plain,
( e1 = e2
| e0 = e1
| e1 = op(e3,e2)
| ~ spl66_147
| ~ spl66_166
| ~ spl66_183 ),
inference(forward_demodulation,[],[f20500,f1605]) ).
fof(f20500,plain,
( e0 = e1
| e1 = op(e3,e2)
| e1 = op(e0,e2)
| ~ spl66_147
| ~ spl66_166 ),
inference(duplicate_literal_removal,[],[f10418]) ).
fof(f10418,plain,
( e0 = e1
| e0 = e1
| e1 = op(e3,e2)
| e1 = op(e0,e2)
| ~ spl66_147
| ~ spl66_166 ),
inference(forward_demodulation,[],[f10417,f1430]) ).
fof(f10417,plain,
( e0 = e1
| e1 = op(e3,e2)
| e1 = op(e1,e2)
| e1 = op(e0,e2)
| ~ spl66_147 ),
inference(forward_demodulation,[],[f536,f1348]) ).
fof(f536,plain,
( e1 = op(e3,e2)
| e1 = op(e2,e2)
| e1 = op(e1,e2)
| e1 = op(e0,e2) ),
inference(cnf_transformation,[],[f2]) ).
fof(f20637,plain,
( ~ spl66_56
| spl66_4
| ~ spl66_161 ),
inference(avatar_split_clause,[],[f20613,f1407,f653,f903]) ).
fof(f20613,plain,
( e1 = e2
| ~ sP26
| ~ spl66_161 ),
inference(forward_demodulation,[],[f400,f1408]) ).
fof(f20612,plain,
( ~ spl66_67
| spl66_105
| ~ spl66_163 ),
inference(avatar_split_clause,[],[f15820,f1416,f1142,f955]) ).
fof(f20484,plain,
( spl66_165
| spl66_6
| spl66_2
| spl66_4
| ~ spl66_67
| ~ spl66_167
| ~ spl66_180 ),
inference(avatar_split_clause,[],[f20399,f1564,f1433,f955,f653,f643,f663,f1425]) ).
fof(f20399,plain,
( e1 = e2
| e0 = e2
| e2 = e3
| e2 = op(e3,e3)
| ~ spl66_67
| ~ spl66_167
| ~ spl66_180 ),
inference(forward_demodulation,[],[f20275,f1434]) ).
fof(f20275,plain,
( e0 = e2
| e2 = e3
| e2 = op(e3,e3)
| e2 = op(e2,e3)
| ~ spl66_67
| ~ spl66_180 ),
inference(forward_demodulation,[],[f15559,f957]) ).
fof(f15559,plain,
( e2 = e3
| e2 = op(e3,e3)
| e2 = op(e2,e3)
| e2 = op(e0,e3)
| ~ spl66_180 ),
inference(forward_demodulation,[],[f546,f1566]) ).
fof(f546,plain,
( e2 = op(e3,e3)
| e2 = op(e2,e3)
| e2 = op(e1,e3)
| e2 = op(e0,e3) ),
inference(cnf_transformation,[],[f2]) ).
fof(f20468,plain,
( spl66_155
| spl66_3
| spl66_1
| spl66_2
| ~ spl66_52
| ~ spl66_153
| ~ spl66_183 ),
inference(avatar_split_clause,[],[f20386,f1603,f1373,f883,f643,f638,f648,f1381]) ).
fof(f20386,plain,
( e0 = e2
| e0 = e1
| e0 = e3
| e0 = op(e3,e2)
| ~ spl66_52
| ~ spl66_153
| ~ spl66_183 ),
inference(forward_demodulation,[],[f20385,f1605]) ).
fof(f20385,plain,
( e0 = e1
| e0 = e3
| e0 = op(e3,e2)
| e0 = op(e0,e2)
| ~ spl66_52
| ~ spl66_153 ),
inference(forward_demodulation,[],[f10213,f885]) ).
fof(f885,plain,
( e1 = op(e1,e2)
| ~ spl66_52 ),
inference(avatar_component_clause,[],[f883]) ).
fof(f10213,plain,
( e0 = e3
| e0 = op(e3,e2)
| e0 = op(e1,e2)
| e0 = op(e0,e2)
| ~ spl66_153 ),
inference(forward_demodulation,[],[f534,f1374]) ).
fof(f20464,plain,
( spl66_144
| spl66_157
| spl66_3
| ~ spl66_146
| ~ spl66_167
| ~ spl66_194 ),
inference(avatar_split_clause,[],[f20382,f9000,f1433,f1342,f648,f1390,f1334]) ).
fof(f20382,plain,
( e0 = e3
| e0 = op(e3,e1)
| e0 = op(e1,e1)
| ~ spl66_146
| ~ spl66_167
| ~ spl66_194 ),
inference(duplicate_literal_removal,[],[f20381]) ).
fof(f20381,plain,
( e0 = e3
| e0 = e3
| e0 = op(e3,e1)
| e0 = op(e1,e1)
| ~ spl66_146
| ~ spl66_167
| ~ spl66_194 ),
inference(forward_demodulation,[],[f5081,f15056]) ).
fof(f15056,plain,
( e3 = op(e2,e1)
| ~ spl66_167
| ~ spl66_194 ),
inference(superposition,[],[f9001,f1434]) ).
fof(f9001,plain,
( e3 = op(e2,op(e2,e3))
| ~ spl66_194 ),
inference(avatar_component_clause,[],[f9000]) ).
fof(f5081,plain,
( e0 = e3
| e0 = op(e3,e1)
| e0 = op(e2,e1)
| e0 = op(e1,e1)
| ~ spl66_146 ),
inference(forward_demodulation,[],[f526,f1343]) ).
fof(f20398,plain,
( ~ spl66_36
| spl66_5
| ~ spl66_180 ),
inference(avatar_split_clause,[],[f8224,f1564,f658,f807]) ).
fof(f807,plain,
( spl66_36
<=> sP42 ),
introduced(avatar_definition,[new_symbols(naming,[spl66_36])]) ).
fof(f8224,plain,
( e1 = e3
| ~ sP42
| ~ spl66_180 ),
inference(forward_demodulation,[],[f336,f1566]) ).
fof(f336,plain,
( e1 = op(e1,e3)
| ~ sP42 ),
inference(cnf_transformation,[],[f144]) ).
fof(f144,plain,
( ( e1 = op(e1,e3)
& e1 = op(e3,e1)
& e2 = op(e1,e2)
& e2 = op(e2,e1) )
| ~ sP42 ),
inference(nnf_transformation,[],[f96]) ).
fof(f96,plain,
( ( e1 = op(e1,e3)
& e1 = op(e3,e1)
& e2 = op(e1,e2)
& e2 = op(e2,e1) )
| ~ sP42 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP42])]) ).
fof(f20394,plain,
( ~ spl66_39
| spl66_4
| ~ spl66_52 ),
inference(avatar_split_clause,[],[f8221,f883,f653,f821]) ).
fof(f8221,plain,
( e1 = e2
| ~ sP40
| ~ spl66_52 ),
inference(forward_demodulation,[],[f342,f885]) ).
fof(f342,plain,
( e2 = op(e1,e2)
| ~ sP40 ),
inference(cnf_transformation,[],[f146]) ).
fof(f20371,plain,
( spl66_2
| ~ spl66_22
| ~ spl66_143
| ~ spl66_165
| ~ spl66_175
| ~ spl66_191 ),
inference(avatar_split_clause,[],[f20368,f4451,f1487,f1425,f1329,f739,f643]) ).
fof(f4451,plain,
( spl66_191
<=> e2 = op(e3,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl66_191])]) ).
fof(f20368,plain,
( e0 = e2
| ~ spl66_22
| ~ spl66_143
| ~ spl66_165
| ~ spl66_175
| ~ spl66_191 ),
inference(forward_demodulation,[],[f20367,f1489]) ).
fof(f20367,plain,
( e2 = op(e2,e0)
| ~ spl66_22
| ~ spl66_143
| ~ spl66_165
| ~ spl66_191 ),
inference(forward_demodulation,[],[f741,f20286]) ).
fof(f20286,plain,
( e2 = e3
| ~ spl66_143
| ~ spl66_165
| ~ spl66_191 ),
inference(forward_demodulation,[],[f19707,f4453]) ).
fof(f4453,plain,
( e2 = op(e3,e2)
| ~ spl66_191 ),
inference(avatar_component_clause,[],[f4451]) ).
fof(f19707,plain,
( e3 = op(e3,e2)
| ~ spl66_143
| ~ spl66_165 ),
inference(superposition,[],[f1330,f1426]) ).
fof(f20246,plain,
( ~ spl66_68
| spl66_6
| ~ spl66_191 ),
inference(avatar_split_clause,[],[f20245,f4451,f663,f960]) ).
fof(f20245,plain,
( e2 = e3
| ~ sP17
| ~ spl66_191 ),
inference(forward_demodulation,[],[f436,f4453]) ).
fof(f436,plain,
( e3 = op(e3,e2)
| ~ sP17 ),
inference(cnf_transformation,[],[f169]) ).
fof(f20244,plain,
( ~ spl66_51
| spl66_27 ),
inference(avatar_split_clause,[],[f384,f763,f879]) ).
fof(f879,plain,
( spl66_51
<=> sP30 ),
introduced(avatar_definition,[new_symbols(naming,[spl66_51])]) ).
fof(f763,plain,
( spl66_27
<=> e2 = op(e2,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl66_27])]) ).
fof(f384,plain,
( e2 = op(e2,e3)
| ~ sP30 ),
inference(cnf_transformation,[],[f156]) ).
fof(f156,plain,
( ( e2 = op(e2,e3)
& e2 = op(e3,e2)
& e1 = op(e2,e1)
& e1 = op(e1,e2) )
| ~ sP30 ),
inference(nnf_transformation,[],[f84]) ).
fof(f84,plain,
( ( e2 = op(e2,e3)
& e2 = op(e3,e2)
& e1 = op(e2,e1)
& e1 = op(e1,e2) )
| ~ sP30 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP30])]) ).
fof(f20232,plain,
( ~ spl66_51
| spl66_190 ),
inference(avatar_split_clause,[],[f382,f3071,f879]) ).
fof(f382,plain,
( e1 = op(e2,e1)
| ~ sP30 ),
inference(cnf_transformation,[],[f156]) ).
fof(f20155,plain,
( ~ spl66_55
| spl66_6
| ~ spl66_149 ),
inference(avatar_split_clause,[],[f20154,f1355,f663,f898]) ).
fof(f20154,plain,
( e2 = e3
| ~ sP27
| ~ spl66_149 ),
inference(forward_demodulation,[],[f395,f1356]) ).
fof(f395,plain,
( e2 = op(e0,e2)
| ~ sP27 ),
inference(cnf_transformation,[],[f159]) ).
fof(f20153,plain,
( ~ spl66_41
| spl66_6
| ~ spl66_149 ),
inference(avatar_split_clause,[],[f20152,f1355,f663,f831]) ).
fof(f831,plain,
( spl66_41
<=> sP38 ),
introduced(avatar_definition,[new_symbols(naming,[spl66_41])]) ).
fof(f20152,plain,
( e2 = e3
| ~ sP38
| ~ spl66_149 ),
inference(forward_demodulation,[],[f350,f1356]) ).
fof(f350,plain,
( e2 = op(e0,e2)
| ~ sP38 ),
inference(cnf_transformation,[],[f148]) ).
fof(f148,plain,
( ( e0 = op(e0,e3)
& e0 = op(e3,e0)
& e2 = op(e0,e2)
& e2 = op(e2,e0) )
| ~ sP38 ),
inference(nnf_transformation,[],[f92]) ).
fof(f92,plain,
( ( e0 = op(e0,e3)
& e0 = op(e3,e0)
& e2 = op(e0,e2)
& e2 = op(e2,e0) )
| ~ sP38 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP38])]) ).
fof(f20151,plain,
( ~ spl66_18
| spl66_6
| ~ spl66_161 ),
inference(avatar_split_clause,[],[f20149,f1407,f663,f720]) ).
fof(f20149,plain,
( e2 = e3
| ~ sP57
| ~ spl66_161 ),
inference(forward_demodulation,[],[f274,f1408]) ).
fof(f274,plain,
( e3 = op(e1,e3)
| ~ sP57 ),
inference(cnf_transformation,[],[f129]) ).
fof(f20148,plain,
( ~ spl66_51
| spl66_2
| ~ spl66_163 ),
inference(avatar_split_clause,[],[f20030,f1416,f643,f879]) ).
fof(f20030,plain,
( e0 = e2
| ~ sP30
| ~ spl66_163 ),
inference(forward_demodulation,[],[f384,f1417]) ).
fof(f20138,plain,
( spl66_5
| ~ spl66_67
| ~ spl66_149
| ~ spl66_168
| ~ spl66_198 ),
inference(avatar_split_clause,[],[f20106,f11889,f1438,f1355,f955,f658]) ).
fof(f20106,plain,
( e1 = e3
| ~ spl66_67
| ~ spl66_149
| ~ spl66_168
| ~ spl66_198 ),
inference(forward_demodulation,[],[f19261,f1439]) ).
fof(f19261,plain,
( op(e0,e0) = e3
| ~ spl66_67
| ~ spl66_149
| ~ spl66_198 ),
inference(forward_demodulation,[],[f1356,f19254]) ).
fof(f19254,plain,
( e0 = e2
| ~ spl66_67
| ~ spl66_149
| ~ spl66_198 ),
inference(forward_demodulation,[],[f18499,f957]) ).
fof(f18499,plain,
( e2 = op(e0,e3)
| ~ spl66_149
| ~ spl66_198 ),
inference(superposition,[],[f11890,f1356]) ).
fof(f20019,plain,
( spl66_37
| spl66_164
| spl66_2
| spl66_6
| ~ spl66_144
| ~ spl66_146 ),
inference(avatar_split_clause,[],[f5350,f1342,f1334,f663,f643,f1420,f811]) ).
fof(f5350,plain,
( e2 = e3
| e0 = e2
| e2 = op(e3,e1)
| e2 = op(e2,e1)
| ~ spl66_144
| ~ spl66_146 ),
inference(forward_demodulation,[],[f5349,f1343]) ).
fof(f5349,plain,
( e0 = e2
| e2 = op(e3,e1)
| e2 = op(e2,e1)
| e2 = op(e0,e1)
| ~ spl66_144 ),
inference(forward_demodulation,[],[f530,f1335]) ).
fof(f20015,plain,
( spl66_164
| spl66_6
| spl66_4
| spl66_2
| ~ spl66_144
| ~ spl66_146
| ~ spl66_190 ),
inference(avatar_split_clause,[],[f19954,f3071,f1342,f1334,f643,f653,f663,f1420]) ).
fof(f19954,plain,
( e0 = e2
| e1 = e2
| e2 = e3
| e2 = op(e3,e1)
| ~ spl66_144
| ~ spl66_146
| ~ spl66_190 ),
inference(forward_demodulation,[],[f19953,f1335]) ).
fof(f19953,plain,
( e1 = e2
| e2 = e3
| e2 = op(e3,e1)
| e2 = op(e1,e1)
| ~ spl66_146
| ~ spl66_190 ),
inference(forward_demodulation,[],[f16407,f3073]) ).
fof(f16407,plain,
( e2 = e3
| e2 = op(e3,e1)
| e2 = op(e2,e1)
| e2 = op(e1,e1)
| ~ spl66_146 ),
inference(forward_demodulation,[],[f530,f1343]) ).
fof(f20013,plain,
( ~ spl66_190
| ~ spl66_190
| spl66_196 ),
inference(avatar_split_clause,[],[f15739,f10184,f3071,f3071]) ).
fof(f15739,plain,
( e1 != op(e2,e1)
| ~ spl66_190
| spl66_196 ),
inference(superposition,[],[f10186,f3073]) ).
fof(f10186,plain,
( e1 != op(e2,op(e2,e1))
| spl66_196 ),
inference(avatar_component_clause,[],[f10184]) ).
fof(f20007,plain,
( spl66_157
| ~ spl66_140
| ~ spl66_148 ),
inference(avatar_split_clause,[],[f18628,f1351,f1314,f1390]) ).
fof(f18628,plain,
( e0 = op(e3,e1)
| ~ spl66_140
| ~ spl66_148 ),
inference(forward_demodulation,[],[f1315,f1352]) ).
fof(f1315,plain,
( e0 = op(e3,op(e3,e0))
| ~ spl66_140 ),
inference(avatar_component_clause,[],[f1314]) ).
fof(f19889,plain,
( spl66_6
| spl66_3
| spl66_5
| ~ spl66_47
| ~ spl66_154
| ~ spl66_163
| ~ spl66_165 ),
inference(avatar_split_clause,[],[f19864,f1425,f1416,f1377,f859,f658,f648,f663]) ).
fof(f19864,plain,
( e1 = e3
| e0 = e3
| e2 = e3
| ~ spl66_47
| ~ spl66_154
| ~ spl66_163
| ~ spl66_165 ),
inference(duplicate_literal_removal,[],[f19863]) ).
fof(f19863,plain,
( e1 = e3
| e0 = e3
| e2 = e3
| e1 = e3
| ~ spl66_47
| ~ spl66_154
| ~ spl66_163
| ~ spl66_165 ),
inference(forward_demodulation,[],[f15101,f861]) ).
fof(f15101,plain,
( e0 = e3
| e2 = e3
| e1 = e3
| e3 = op(e1,e3)
| ~ spl66_154
| ~ spl66_163
| ~ spl66_165 ),
inference(forward_demodulation,[],[f15100,f1417]) ).
fof(f15100,plain,
( e2 = e3
| e1 = e3
| e3 = op(e2,e3)
| e3 = op(e1,e3)
| ~ spl66_154
| ~ spl66_165 ),
inference(forward_demodulation,[],[f11477,f1426]) ).
fof(f11477,plain,
( e1 = e3
| e3 = op(e3,e3)
| e3 = op(e2,e3)
| e3 = op(e1,e3)
| ~ spl66_154 ),
inference(forward_demodulation,[],[f548,f1378]) ).
fof(f19887,plain,
( ~ spl66_12
| spl66_143
| ~ spl66_165 ),
inference(avatar_split_clause,[],[f15104,f1425,f1329,f691]) ).
fof(f15104,plain,
( e3 != op(e3,e2)
| spl66_143
| ~ spl66_165 ),
inference(forward_demodulation,[],[f1331,f1426]) ).
fof(f1331,plain,
( e3 != op(e3,op(e3,e3))
| spl66_143 ),
inference(avatar_component_clause,[],[f1329]) ).
fof(f19874,plain,
( ~ spl66_83
| spl66_2
| ~ spl66_42 ),
inference(avatar_split_clause,[],[f17321,f835,f643,f1032]) ).
fof(f1032,plain,
( spl66_83
<=> sP5 ),
introduced(avatar_definition,[new_symbols(naming,[spl66_83])]) ).
fof(f17321,plain,
( e0 = e2
| ~ sP5
| ~ spl66_42 ),
inference(forward_demodulation,[],[f483,f837]) ).
fof(f483,plain,
( e0 = op(e2,e0)
| ~ sP5 ),
inference(cnf_transformation,[],[f181]) ).
fof(f181,plain,
( ( e0 = op(e0,e2)
& e0 = op(e2,e0)
& e0 = op(e0,e0)
& e0 = op(e0,e0) )
| ~ sP5 ),
inference(nnf_transformation,[],[f59]) ).
fof(f59,plain,
( ( e0 = op(e0,e2)
& e0 = op(e2,e0)
& e0 = op(e0,e0)
& e0 = op(e0,e0) )
| ~ sP5 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP5])]) ).
fof(f19858,plain,
( spl66_165
| spl66_2
| spl66_4
| ~ spl66_47
| ~ spl66_154
| ~ spl66_163 ),
inference(avatar_split_clause,[],[f19773,f1416,f1377,f859,f653,f643,f1425]) ).
fof(f19773,plain,
( e1 = e2
| e0 = e2
| e2 = op(e3,e3)
| ~ spl66_47
| ~ spl66_154
| ~ spl66_163 ),
inference(duplicate_literal_removal,[],[f19772]) ).
fof(f19772,plain,
( e1 = e2
| e0 = e2
| e1 = e2
| e2 = op(e3,e3)
| ~ spl66_47
| ~ spl66_154
| ~ spl66_163 ),
inference(forward_demodulation,[],[f14031,f861]) ).
fof(f14031,plain,
( e0 = e2
| e1 = e2
| e2 = op(e3,e3)
| e2 = op(e1,e3)
| ~ spl66_154
| ~ spl66_163 ),
inference(forward_demodulation,[],[f11483,f1417]) ).
fof(f11483,plain,
( e1 = e2
| e2 = op(e3,e3)
| e2 = op(e2,e3)
| e2 = op(e1,e3)
| ~ spl66_154 ),
inference(forward_demodulation,[],[f546,f1378]) ).
fof(f19828,plain,
( spl66_153
| spl66_3
| spl66_6
| ~ spl66_42
| ~ spl66_160
| ~ spl66_163 ),
inference(avatar_split_clause,[],[f19765,f1416,f1403,f835,f663,f648,f1373]) ).
fof(f19765,plain,
( e2 = e3
| e0 = e3
| e3 = op(e2,e2)
| ~ spl66_42
| ~ spl66_160
| ~ spl66_163 ),
inference(forward_demodulation,[],[f19764,f837]) ).
fof(f19764,plain,
( e0 = e3
| e3 = op(e2,e2)
| e3 = op(e2,e0)
| ~ spl66_160
| ~ spl66_163 ),
inference(duplicate_literal_removal,[],[f19763]) ).
fof(f19763,plain,
( e0 = e3
| e0 = e3
| e3 = op(e2,e2)
| e3 = op(e2,e0)
| ~ spl66_160
| ~ spl66_163 ),
inference(forward_demodulation,[],[f10720,f1404]) ).
fof(f10720,plain,
( e0 = e3
| e3 = op(e2,e2)
| e3 = op(e2,e1)
| e3 = op(e2,e0)
| ~ spl66_163 ),
inference(forward_demodulation,[],[f539,f1417]) ).
fof(f19812,plain,
( spl66_156
| spl66_1
| spl66_4
| ~ spl66_42
| ~ spl66_160
| ~ spl66_163 ),
inference(avatar_split_clause,[],[f19761,f1416,f1403,f835,f653,f638,f1386]) ).
fof(f19761,plain,
( e1 = e2
| e0 = e1
| e1 = op(e2,e2)
| ~ spl66_42
| ~ spl66_160
| ~ spl66_163 ),
inference(forward_demodulation,[],[f19760,f837]) ).
fof(f19760,plain,
( e0 = e1
| e1 = op(e2,e2)
| e1 = op(e2,e0)
| ~ spl66_160
| ~ spl66_163 ),
inference(duplicate_literal_removal,[],[f19759]) ).
fof(f19759,plain,
( e0 = e1
| e0 = e1
| e1 = op(e2,e2)
| e1 = op(e2,e0)
| ~ spl66_160
| ~ spl66_163 ),
inference(forward_demodulation,[],[f12739,f1404]) ).
fof(f12739,plain,
( e0 = e1
| e1 = op(e2,e2)
| e1 = op(e2,e1)
| e1 = op(e2,e0)
| ~ spl66_163 ),
inference(forward_demodulation,[],[f535,f1417]) ).
fof(f19734,plain,
( spl66_172
| spl66_159
| spl66_5
| spl66_1
| ~ spl66_17
| ~ spl66_176 ),
inference(avatar_split_clause,[],[f17597,f1491,f715,f638,f658,f1399,f1455]) ).
fof(f17597,plain,
( e0 = e1
| e1 = e3
| e1 = op(e3,e3)
| e1 = op(e3,e2)
| ~ spl66_17
| ~ spl66_176 ),
inference(forward_demodulation,[],[f3751,f1493]) ).
fof(f3751,plain,
( e1 = e3
| e1 = op(e3,e3)
| e1 = op(e3,e2)
| e1 = op(e3,e0)
| ~ spl66_17 ),
inference(forward_demodulation,[],[f543,f717]) ).
fof(f543,plain,
( e1 = op(e3,e3)
| e1 = op(e3,e2)
| e1 = op(e3,e1)
| e1 = op(e3,e0) ),
inference(cnf_transformation,[],[f2]) ).
fof(f19719,plain,
( spl66_184
| spl66_5
| spl66_4
| spl66_1
| ~ spl66_144
| ~ spl66_169
| ~ spl66_182 ),
inference(avatar_split_clause,[],[f19534,f1599,f1442,f1334,f638,f653,f658,f1666]) ).
fof(f19534,plain,
( e0 = e1
| e1 = e2
| e1 = e3
| e1 = op(e3,e1)
| ~ spl66_144
| ~ spl66_169
| ~ spl66_182 ),
inference(forward_demodulation,[],[f10226,f1335]) ).
fof(f10226,plain,
( e1 = e2
| e1 = e3
| e1 = op(e3,e1)
| e1 = op(e1,e1)
| ~ spl66_169
| ~ spl66_182 ),
inference(forward_demodulation,[],[f3088,f1601]) ).
fof(f3088,plain,
( e1 = e3
| e1 = op(e3,e1)
| e1 = op(e1,e1)
| e1 = op(e0,e1)
| ~ spl66_169 ),
inference(forward_demodulation,[],[f528,f1443]) ).
fof(f19698,plain,
( ~ spl66_69
| spl66_5
| ~ spl66_47 ),
inference(avatar_split_clause,[],[f19688,f859,f658,f965]) ).
fof(f19688,plain,
( e1 = e3
| ~ sP16
| ~ spl66_47 ),
inference(forward_demodulation,[],[f439,f861]) ).
fof(f439,plain,
( e3 = op(e1,e3)
| ~ sP16 ),
inference(cnf_transformation,[],[f170]) ).
fof(f19678,plain,
( spl66_165
| spl66_6
| spl66_2
| ~ spl66_12
| ~ spl66_17
| ~ spl66_176 ),
inference(avatar_split_clause,[],[f19667,f1491,f715,f691,f643,f663,f1425]) ).
fof(f19667,plain,
( e0 = e2
| e2 = e3
| e2 = op(e3,e3)
| ~ spl66_12
| ~ spl66_17
| ~ spl66_176 ),
inference(forward_demodulation,[],[f19666,f1493]) ).
fof(f19666,plain,
( e2 = e3
| e2 = op(e3,e3)
| e2 = op(e3,e0)
| ~ spl66_12
| ~ spl66_17 ),
inference(duplicate_literal_removal,[],[f19665]) ).
fof(f19665,plain,
( e2 = e3
| e2 = e3
| e2 = op(e3,e3)
| e2 = op(e3,e0)
| ~ spl66_12
| ~ spl66_17 ),
inference(forward_demodulation,[],[f19664,f717]) ).
fof(f19664,plain,
( e2 = e3
| e2 = op(e3,e3)
| e2 = op(e3,e1)
| e2 = op(e3,e0)
| ~ spl66_12 ),
inference(forward_demodulation,[],[f545,f693]) ).
fof(f19663,plain,
( spl66_5
| spl66_3
| spl66_6
| ~ spl66_12
| ~ spl66_27
| ~ spl66_47
| ~ spl66_67
| ~ spl66_142 ),
inference(avatar_split_clause,[],[f19581,f1324,f955,f859,f763,f691,f663,f648,f658]) ).
fof(f1324,plain,
( spl66_142
<=> e2 = op(e3,op(e3,e2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl66_142])]) ).
fof(f19581,plain,
( e2 = e3
| e0 = e3
| e1 = e3
| ~ spl66_12
| ~ spl66_27
| ~ spl66_47
| ~ spl66_67
| ~ spl66_142 ),
inference(duplicate_literal_removal,[],[f19580]) ).
fof(f19580,plain,
( e2 = e3
| e0 = e3
| e2 = e3
| e1 = e3
| ~ spl66_12
| ~ spl66_27
| ~ spl66_47
| ~ spl66_67
| ~ spl66_142 ),
inference(forward_demodulation,[],[f19544,f9726]) ).
fof(f9726,plain,
( e2 = op(e3,e3)
| ~ spl66_12
| ~ spl66_142 ),
inference(superposition,[],[f1325,f693]) ).
fof(f1325,plain,
( e2 = op(e3,op(e3,e2))
| ~ spl66_142 ),
inference(avatar_component_clause,[],[f1324]) ).
fof(f19544,plain,
( e0 = e3
| e2 = e3
| e1 = e3
| e3 = op(e3,e3)
| ~ spl66_27
| ~ spl66_47
| ~ spl66_67 ),
inference(forward_demodulation,[],[f19543,f957]) ).
fof(f19543,plain,
( e2 = e3
| e1 = e3
| e3 = op(e3,e3)
| e3 = op(e0,e3)
| ~ spl66_27
| ~ spl66_47 ),
inference(forward_demodulation,[],[f15784,f765]) ).
fof(f765,plain,
( e2 = op(e2,e3)
| ~ spl66_27 ),
inference(avatar_component_clause,[],[f763]) ).
fof(f15784,plain,
( e1 = e3
| e3 = op(e3,e3)
| e3 = op(e2,e3)
| e3 = op(e0,e3)
| ~ spl66_47 ),
inference(forward_demodulation,[],[f548,f861]) ).
fof(f19660,plain,
( ~ spl66_22
| ~ spl66_12
| spl66_129 ),
inference(avatar_split_clause,[],[f2937,f1262,f691,f739]) ).
fof(f1262,plain,
( spl66_129
<=> op(e3,e0) = op(e3,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl66_129])]) ).
fof(f2937,plain,
( e3 != op(e3,e0)
| ~ spl66_12
| spl66_129 ),
inference(superposition,[],[f1264,f693]) ).
fof(f1264,plain,
( op(e3,e0) != op(e3,e2)
| spl66_129 ),
inference(avatar_component_clause,[],[f1262]) ).
fof(f19574,plain,
( spl66_6
| ~ spl66_17
| ~ spl66_164 ),
inference(avatar_split_clause,[],[f11289,f1420,f715,f663]) ).
fof(f11289,plain,
( e2 = e3
| ~ spl66_17
| ~ spl66_164 ),
inference(superposition,[],[f1421,f717]) ).
fof(f19510,plain,
( spl66_3
| ~ spl66_17
| ~ spl66_67
| ~ spl66_149
| ~ spl66_164
| ~ spl66_198 ),
inference(avatar_split_clause,[],[f19384,f11889,f1420,f1355,f955,f715,f648]) ).
fof(f19384,plain,
( e0 = e3
| ~ spl66_17
| ~ spl66_67
| ~ spl66_149
| ~ spl66_164
| ~ spl66_198 ),
inference(forward_demodulation,[],[f19318,f19254]) ).
fof(f19318,plain,
( e2 = e3
| ~ spl66_17
| ~ spl66_164 ),
inference(forward_demodulation,[],[f717,f1421]) ).
fof(f19363,plain,
( spl66_1
| ~ spl66_47
| ~ spl66_67
| ~ spl66_144
| ~ spl66_168
| ~ spl66_200 ),
inference(avatar_split_clause,[],[f19290,f15284,f1438,f1334,f955,f859,f638]) ).
fof(f19290,plain,
( e0 = e1
| ~ spl66_47
| ~ spl66_67
| ~ spl66_144
| ~ spl66_168
| ~ spl66_200 ),
inference(forward_demodulation,[],[f19289,f1335]) ).
fof(f19289,plain,
( e1 = op(e1,e1)
| ~ spl66_47
| ~ spl66_67
| ~ spl66_168
| ~ spl66_200 ),
inference(forward_demodulation,[],[f861,f19099]) ).
fof(f19099,plain,
( e1 = e3
| ~ spl66_67
| ~ spl66_168
| ~ spl66_200 ),
inference(forward_demodulation,[],[f19098,f1439]) ).
fof(f19098,plain,
( op(e0,e0) = e3
| ~ spl66_67
| ~ spl66_200 ),
inference(superposition,[],[f15285,f957]) ).
fof(f19100,plain,
( spl66_179
| spl66_1
| spl66_2
| ~ spl66_52
| ~ spl66_57
| ~ spl66_170 ),
inference(avatar_split_clause,[],[f18654,f1446,f907,f883,f643,f638,f1535]) ).
fof(f1446,plain,
( spl66_170
<=> e2 = op(e1,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl66_170])]) ).
fof(f18654,plain,
( e0 = e2
| e0 = e1
| e0 = op(e1,e3)
| ~ spl66_52
| ~ spl66_57
| ~ spl66_170 ),
inference(forward_demodulation,[],[f18653,f1447]) ).
fof(f1447,plain,
( e2 = op(e1,e0)
| ~ spl66_170 ),
inference(avatar_component_clause,[],[f1446]) ).
fof(f18653,plain,
( e0 = e1
| e0 = op(e1,e3)
| e0 = op(e1,e0)
| ~ spl66_52
| ~ spl66_57 ),
inference(duplicate_literal_removal,[],[f18652]) ).
fof(f18652,plain,
( e0 = e1
| e0 = e1
| e0 = op(e1,e3)
| e0 = op(e1,e0)
| ~ spl66_52
| ~ spl66_57 ),
inference(forward_demodulation,[],[f2172,f885]) ).
fof(f2172,plain,
( e0 = e1
| e0 = op(e1,e3)
| e0 = op(e1,e2)
| e0 = op(e1,e0)
| ~ spl66_57 ),
inference(forward_demodulation,[],[f525,f909]) ).
fof(f19095,plain,
( ~ spl66_77
| spl66_139
| ~ spl66_168 ),
inference(avatar_split_clause,[],[f17172,f1438,f1309,f1003]) ).
fof(f17172,plain,
( e0 != op(e0,e1)
| spl66_139
| ~ spl66_168 ),
inference(forward_demodulation,[],[f1311,f1439]) ).
fof(f19075,plain,
( ~ spl66_54
| spl66_4
| ~ spl66_52 ),
inference(avatar_split_clause,[],[f18148,f883,f653,f893]) ).
fof(f893,plain,
( spl66_54
<=> sP28 ),
introduced(avatar_definition,[new_symbols(naming,[spl66_54])]) ).
fof(f18148,plain,
( e1 = e2
| ~ sP28
| ~ spl66_52 ),
inference(forward_demodulation,[],[f391,f885]) ).
fof(f391,plain,
( e2 = op(e1,e2)
| ~ sP28 ),
inference(cnf_transformation,[],[f158]) ).
fof(f158,plain,
( ( e2 = op(e2,e1)
& e2 = op(e1,e2)
& e1 = op(e2,e1)
& e1 = op(e1,e2) )
| ~ sP28 ),
inference(nnf_transformation,[],[f82]) ).
fof(f82,plain,
( ( e2 = op(e2,e1)
& e2 = op(e1,e2)
& e1 = op(e2,e1)
& e1 = op(e1,e2) )
| ~ sP28 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP28])]) ).
fof(f19036,plain,
( spl66_150
| spl66_3
| spl66_2
| ~ spl66_22
| ~ spl66_164
| ~ spl66_191 ),
inference(avatar_split_clause,[],[f19027,f4451,f1420,f739,f643,f648,f1360]) ).
fof(f19027,plain,
( e0 = e2
| e0 = e3
| e0 = op(e3,e3)
| ~ spl66_22
| ~ spl66_164
| ~ spl66_191 ),
inference(duplicate_literal_removal,[],[f19026]) ).
fof(f19026,plain,
( e0 = e2
| e0 = e2
| e0 = e3
| e0 = op(e3,e3)
| ~ spl66_22
| ~ spl66_164
| ~ spl66_191 ),
inference(forward_demodulation,[],[f15779,f4453]) ).
fof(f15779,plain,
( e0 = e2
| e0 = e3
| e0 = op(e3,e3)
| e0 = op(e3,e2)
| ~ spl66_22
| ~ spl66_164 ),
inference(forward_demodulation,[],[f3912,f1421]) ).
fof(f3912,plain,
( e0 = e3
| e0 = op(e3,e3)
| e0 = op(e3,e2)
| e0 = op(e3,e1)
| ~ spl66_22 ),
inference(forward_demodulation,[],[f541,f741]) ).
fof(f19025,plain,
( spl66_164
| spl66_6
| spl66_4
| spl66_2
| ~ spl66_77
| ~ spl66_162
| ~ spl66_190 ),
inference(avatar_split_clause,[],[f18904,f3071,f1412,f1003,f643,f653,f663,f1420]) ).
fof(f18904,plain,
( e0 = e2
| e1 = e2
| e2 = e3
| e2 = op(e3,e1)
| ~ spl66_77
| ~ spl66_162
| ~ spl66_190 ),
inference(forward_demodulation,[],[f4663,f1005]) ).
fof(f4663,plain,
( e1 = e2
| e2 = e3
| e2 = op(e3,e1)
| e2 = op(e0,e1)
| ~ spl66_162
| ~ spl66_190 ),
inference(forward_demodulation,[],[f4155,f3073]) ).
fof(f4155,plain,
( e2 = e3
| e2 = op(e3,e1)
| e2 = op(e2,e1)
| e2 = op(e0,e1)
| ~ spl66_162 ),
inference(forward_demodulation,[],[f530,f1413]) ).
fof(f19019,plain,
( ~ spl66_186
| ~ spl66_186
| spl66_200 ),
inference(avatar_split_clause,[],[f15437,f15284,f1774,f1774]) ).
fof(f1774,plain,
( spl66_186
<=> e3 = op(e0,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl66_186])]) ).
fof(f15437,plain,
( e3 != op(e0,e3)
| ~ spl66_186
| spl66_200 ),
inference(superposition,[],[f15286,f1776]) ).
fof(f1776,plain,
( e3 = op(e0,e3)
| ~ spl66_186 ),
inference(avatar_component_clause,[],[f1774]) ).
fof(f18978,plain,
( ~ spl66_24
| spl66_2
| ~ spl66_170 ),
inference(avatar_split_clause,[],[f5261,f1446,f643,f749]) ).
fof(f749,plain,
( spl66_24
<=> sP52 ),
introduced(avatar_definition,[new_symbols(naming,[spl66_24])]) ).
fof(f5261,plain,
( e0 = e2
| ~ sP52
| ~ spl66_170 ),
inference(forward_demodulation,[],[f295,f1447]) ).
fof(f295,plain,
( e0 = op(e1,e0)
| ~ sP52 ),
inference(cnf_transformation,[],[f134]) ).
fof(f134,plain,
( ( e0 = op(e0,e1)
& e0 = op(e1,e0)
& e3 = op(e0,e3)
& e3 = op(e3,e0) )
| ~ sP52 ),
inference(nnf_transformation,[],[f106]) ).
fof(f106,plain,
( ( e0 = op(e0,e1)
& e0 = op(e1,e0)
& e3 = op(e0,e3)
& e3 = op(e3,e0) )
| ~ sP52 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP52])]) ).
fof(f18976,plain,
( ~ spl66_23
| spl66_2
| ~ spl66_183 ),
inference(avatar_split_clause,[],[f18975,f1603,f643,f744]) ).
fof(f744,plain,
( spl66_23
<=> sP53 ),
introduced(avatar_definition,[new_symbols(naming,[spl66_23])]) ).
fof(f18975,plain,
( e0 = e2
| ~ sP53
| ~ spl66_183 ),
inference(forward_demodulation,[],[f292,f1605]) ).
fof(f292,plain,
( e0 = op(e0,e2)
| ~ sP53 ),
inference(cnf_transformation,[],[f133]) ).
fof(f133,plain,
( ( e0 = op(e0,e2)
& e0 = op(e2,e0)
& e3 = op(e0,e3)
& e3 = op(e3,e0) )
| ~ sP53 ),
inference(nnf_transformation,[],[f107]) ).
fof(f107,plain,
( ( e0 = op(e0,e2)
& e0 = op(e2,e0)
& e3 = op(e0,e3)
& e3 = op(e3,e0) )
| ~ sP53 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP53])]) ).
fof(f18974,plain,
( ~ spl66_76
| spl66_2
| ~ spl66_170 ),
inference(avatar_split_clause,[],[f18972,f1446,f643,f999]) ).
fof(f18972,plain,
( e0 = e2
| ~ sP10
| ~ spl66_170 ),
inference(forward_demodulation,[],[f462,f1447]) ).
fof(f462,plain,
( e0 = op(e1,e0)
| ~ sP10 ),
inference(cnf_transformation,[],[f176]) ).
fof(f18971,plain,
( ~ spl66_79
| spl66_5
| ~ spl66_162 ),
inference(avatar_split_clause,[],[f18969,f1412,f658,f1013]) ).
fof(f18969,plain,
( e1 = e3
| ~ sP8
| ~ spl66_162 ),
inference(forward_demodulation,[],[f472,f1413]) ).
fof(f472,plain,
( e1 = op(e1,e1)
| ~ sP8 ),
inference(cnf_transformation,[],[f178]) ).
fof(f18968,plain,
( ~ spl66_78
| spl66_2
| ~ spl66_170 ),
inference(avatar_split_clause,[],[f18967,f1446,f643,f1008]) ).
fof(f18967,plain,
( e0 = e2
| ~ sP9
| ~ spl66_170 ),
inference(forward_demodulation,[],[f466,f1447]) ).
fof(f466,plain,
( e0 = op(e1,e0)
| ~ sP9 ),
inference(cnf_transformation,[],[f177]) ).
fof(f18966,plain,
( ~ spl66_51
| spl66_191 ),
inference(avatar_split_clause,[],[f383,f4451,f879]) ).
fof(f383,plain,
( e2 = op(e3,e2)
| ~ sP30 ),
inference(cnf_transformation,[],[f156]) ).
fof(f18965,plain,
( ~ spl66_54
| spl66_4
| ~ spl66_190 ),
inference(avatar_split_clause,[],[f18964,f3071,f653,f893]) ).
fof(f18964,plain,
( e1 = e2
| ~ sP28
| ~ spl66_190 ),
inference(forward_demodulation,[],[f392,f3073]) ).
fof(f392,plain,
( e2 = op(e2,e1)
| ~ sP28 ),
inference(cnf_transformation,[],[f158]) ).
fof(f18963,plain,
( ~ spl66_53
| spl66_32 ),
inference(avatar_split_clause,[],[f388,f787,f888]) ).
fof(f888,plain,
( spl66_53
<=> sP29 ),
introduced(avatar_definition,[new_symbols(naming,[spl66_53])]) ).
fof(f388,plain,
( e2 = op(e2,e2)
| ~ sP29 ),
inference(cnf_transformation,[],[f157]) ).
fof(f157,plain,
( ( e2 = op(e2,e2)
& e2 = op(e2,e2)
& e1 = op(e2,e1)
& e1 = op(e1,e2) )
| ~ sP29 ),
inference(nnf_transformation,[],[f83]) ).
fof(f83,plain,
( ( e2 = op(e2,e2)
& e2 = op(e2,e2)
& e1 = op(e2,e1)
& e1 = op(e1,e2) )
| ~ sP29 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP29])]) ).
fof(f18962,plain,
( ~ spl66_55
| spl66_2
| ~ spl66_175 ),
inference(avatar_split_clause,[],[f8234,f1487,f643,f898]) ).
fof(f8234,plain,
( e0 = e2
| ~ sP27
| ~ spl66_175 ),
inference(forward_demodulation,[],[f396,f1489]) ).
fof(f396,plain,
( e2 = op(e2,e0)
| ~ sP27 ),
inference(cnf_transformation,[],[f159]) ).
fof(f18959,plain,
( ~ spl66_30
| spl66_191 ),
inference(avatar_split_clause,[],[f314,f4451,f778]) ).
fof(f778,plain,
( spl66_30
<=> sP47 ),
introduced(avatar_definition,[new_symbols(naming,[spl66_30])]) ).
fof(f314,plain,
( e2 = op(e3,e2)
| ~ sP47 ),
inference(cnf_transformation,[],[f139]) ).
fof(f139,plain,
( ( e3 = op(e3,e0)
& e3 = op(e0,e3)
& e2 = op(e3,e2)
& e2 = op(e2,e3) )
| ~ sP47 ),
inference(nnf_transformation,[],[f101]) ).
fof(f101,plain,
( ( e3 = op(e3,e0)
& e3 = op(e0,e3)
& e2 = op(e3,e2)
& e2 = op(e2,e3) )
| ~ sP47 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP47])]) ).
fof(f18913,plain,
( ~ spl66_138
| ~ spl66_183 ),
inference(avatar_split_clause,[],[f18572,f1603,f1305]) ).
fof(f18572,plain,
( ~ sP0
| ~ spl66_183 ),
inference(trivial_inequality_removal,[],[f6373]) ).
fof(f18861,plain,
( ~ spl66_44
| spl66_6
| ~ spl66_149 ),
inference(avatar_split_clause,[],[f18850,f1355,f663,f845]) ).
fof(f18850,plain,
( e2 = e3
| ~ sP36
| ~ spl66_149 ),
inference(forward_demodulation,[],[f358,f1356]) ).
fof(f18846,plain,
( ~ spl66_24
| spl66_5
| ~ spl66_154 ),
inference(avatar_split_clause,[],[f18845,f1377,f658,f749]) ).
fof(f18845,plain,
( e1 = e3
| ~ sP52
| ~ spl66_154 ),
inference(forward_demodulation,[],[f294,f1378]) ).
fof(f294,plain,
( e3 = op(e0,e3)
| ~ sP52 ),
inference(cnf_transformation,[],[f134]) ).
fof(f18844,plain,
( ~ spl66_29
| spl66_17 ),
inference(avatar_split_clause,[],[f312,f715,f773]) ).
fof(f773,plain,
( spl66_29
<=> sP48 ),
introduced(avatar_definition,[new_symbols(naming,[spl66_29])]) ).
fof(f312,plain,
( e3 = op(e3,e1)
| ~ sP48 ),
inference(cnf_transformation,[],[f138]) ).
fof(f138,plain,
( ( e3 = op(e3,e1)
& e3 = op(e1,e3)
& e2 = op(e3,e2)
& e2 = op(e2,e3) )
| ~ sP48 ),
inference(nnf_transformation,[],[f102]) ).
fof(f102,plain,
( ( e3 = op(e3,e1)
& e3 = op(e1,e3)
& e2 = op(e3,e2)
& e2 = op(e2,e3) )
| ~ sP48 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP48])]) ).
fof(f18838,plain,
( spl66_22
| ~ spl66_143
| ~ spl66_150 ),
inference(avatar_split_clause,[],[f16090,f1360,f1329,f739]) ).
fof(f18791,plain,
( spl66_4
| ~ spl66_149
| ~ spl66_154
| ~ spl66_198 ),
inference(avatar_split_clause,[],[f18500,f11889,f1377,f1355,f653]) ).
fof(f18500,plain,
( e1 = e2
| ~ spl66_149
| ~ spl66_154
| ~ spl66_198 ),
inference(forward_demodulation,[],[f18499,f1378]) ).
fof(f18723,plain,
( ~ spl66_150
| ~ spl66_154
| ~ spl66_170 ),
inference(avatar_split_clause,[],[f18578,f1446,f1377,f1360]) ).
fof(f18578,plain,
( e0 != op(e3,e3)
| ~ spl66_154
| ~ spl66_170 ),
inference(trivial_inequality_removal,[],[f18577]) ).
fof(f18577,plain,
( e2 != e2
| e0 != op(e3,e3)
| ~ spl66_154
| ~ spl66_170 ),
inference(forward_demodulation,[],[f18576,f1447]) ).
fof(f18576,plain,
( e2 != op(e1,e0)
| e0 != op(e3,e3)
| ~ spl66_154 ),
inference(trivial_inequality_removal,[],[f18575]) ).
fof(f18575,plain,
( e1 != e1
| e2 != op(e1,e0)
| e0 != op(e3,e3)
| ~ spl66_154 ),
inference(forward_demodulation,[],[f600,f1378]) ).
fof(f600,plain,
( e1 != op(e0,e3)
| e2 != op(e1,e0)
| e0 != op(e3,e3) ),
inference(inner_rewriting,[],[f599]) ).
fof(f599,plain,
( e1 != op(op(e3,e3),e3)
| e2 != op(e1,op(e3,e3))
| e0 != op(e3,e3) ),
inference(inner_rewriting,[],[f570]) ).
fof(f570,plain,
( e1 != op(op(e3,e3),e3)
| e2 != op(op(op(e3,e3),e3),op(e3,e3))
| e0 != op(e3,e3) ),
inference(cnf_transformation,[],[f35]) ).
fof(f35,plain,
( e1 != op(op(e3,e3),e3)
| e2 != op(op(op(e3,e3),e3),op(e3,e3))
| e0 != op(e3,e3) ),
inference(ennf_transformation,[],[f11]) ).
fof(f11,axiom,
~ ( e1 = op(op(e3,e3),e3)
& e2 = op(op(op(e3,e3),e3),op(e3,e3))
& e0 = op(e3,e3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax11) ).
fof(f18650,plain,
( spl66_5
| ~ spl66_143
| ~ spl66_148
| ~ spl66_150 ),
inference(avatar_split_clause,[],[f18593,f1360,f1351,f1329,f658]) ).
fof(f18593,plain,
( e1 = e3
| ~ spl66_143
| ~ spl66_148
| ~ spl66_150 ),
inference(forward_demodulation,[],[f16090,f1352]) ).
fof(f18571,plain,
( spl66_32
| spl66_2
| spl66_4
| spl66_6
| ~ spl66_52
| ~ spl66_149
| ~ spl66_155 ),
inference(avatar_split_clause,[],[f14591,f1381,f1355,f883,f663,f653,f643,f787]) ).
fof(f14591,plain,
( e2 = e3
| e1 = e2
| e0 = e2
| e2 = op(e2,e2)
| ~ spl66_52
| ~ spl66_149
| ~ spl66_155 ),
inference(forward_demodulation,[],[f14590,f1356]) ).
fof(f14590,plain,
( e1 = e2
| e0 = e2
| e2 = op(e2,e2)
| e2 = op(e0,e2)
| ~ spl66_52
| ~ spl66_155 ),
inference(forward_demodulation,[],[f10049,f885]) ).
fof(f10049,plain,
( e0 = e2
| e2 = op(e2,e2)
| e2 = op(e1,e2)
| e2 = op(e0,e2)
| ~ spl66_155 ),
inference(forward_demodulation,[],[f538,f1382]) ).
fof(f538,plain,
( e2 = op(e3,e2)
| e2 = op(e2,e2)
| e2 = op(e1,e2)
| e2 = op(e0,e2) ),
inference(cnf_transformation,[],[f2]) ).
fof(f18537,plain,
( spl66_157
| ~ spl66_149
| ~ spl66_154
| ~ spl66_155
| ~ spl66_198 ),
inference(avatar_split_clause,[],[f18536,f11889,f1381,f1377,f1355,f1390]) ).
fof(f18536,plain,
( e0 = op(e3,e1)
| ~ spl66_149
| ~ spl66_154
| ~ spl66_155
| ~ spl66_198 ),
inference(forward_demodulation,[],[f1382,f18500]) ).
fof(f18501,plain,
( spl66_147
| spl66_155
| spl66_1
| spl66_3
| ~ spl66_52
| ~ spl66_149 ),
inference(avatar_split_clause,[],[f14620,f1355,f883,f648,f638,f1381,f1347]) ).
fof(f14620,plain,
( e0 = e3
| e0 = e1
| e0 = op(e3,e2)
| e0 = op(e2,e2)
| ~ spl66_52
| ~ spl66_149 ),
inference(forward_demodulation,[],[f14619,f1356]) ).
fof(f14619,plain,
( e0 = e1
| e0 = op(e3,e2)
| e0 = op(e2,e2)
| e0 = op(e0,e2)
| ~ spl66_52 ),
inference(forward_demodulation,[],[f534,f885]) ).
fof(f18492,plain,
( spl66_166
| ~ spl66_137
| ~ spl66_170 ),
inference(avatar_split_clause,[],[f15749,f1446,f1300,f1429]) ).
fof(f15749,plain,
( e0 = op(e1,e2)
| ~ spl66_137
| ~ spl66_170 ),
inference(forward_demodulation,[],[f1301,f1447]) ).
fof(f18426,plain,
( spl66_6
| ~ spl66_170
| ~ spl66_179
| ~ spl66_195 ),
inference(avatar_split_clause,[],[f18315,f9319,f1535,f1446,f663]) ).
fof(f18315,plain,
( e2 = e3
| ~ spl66_170
| ~ spl66_179
| ~ spl66_195 ),
inference(forward_demodulation,[],[f18097,f1447]) ).
fof(f18097,plain,
( e3 = op(e1,e0)
| ~ spl66_179
| ~ spl66_195 ),
inference(superposition,[],[f9320,f1537]) ).
fof(f1537,plain,
( e0 = op(e1,e3)
| ~ spl66_179 ),
inference(avatar_component_clause,[],[f1535]) ).
fof(f18306,plain,
( spl66_62
| spl66_4
| spl66_1
| spl66_5
| ~ spl66_42
| ~ spl66_176
| ~ spl66_185 ),
inference(avatar_split_clause,[],[f17870,f1770,f1491,f835,f658,f638,f653,f931]) ).
fof(f17870,plain,
( e1 = e3
| e0 = e1
| e1 = e2
| e1 = op(e1,e0)
| ~ spl66_42
| ~ spl66_176
| ~ spl66_185 ),
inference(forward_demodulation,[],[f17644,f1772]) ).
fof(f17644,plain,
( e0 = e1
| e1 = e2
| e1 = op(e1,e0)
| op(e0,e0) = e1
| ~ spl66_42
| ~ spl66_176 ),
inference(forward_demodulation,[],[f2151,f1493]) ).
fof(f2151,plain,
( e1 = e2
| e1 = op(e3,e0)
| e1 = op(e1,e0)
| op(e0,e0) = e1
| ~ spl66_42 ),
inference(forward_demodulation,[],[f520,f837]) ).
fof(f18245,plain,
( spl66_191
| spl66_6
| spl66_2
| spl66_4
| ~ spl66_17
| ~ spl66_148
| ~ spl66_150 ),
inference(avatar_split_clause,[],[f18210,f1360,f1351,f715,f653,f643,f663,f4451]) ).
fof(f18210,plain,
( e1 = e2
| e0 = e2
| e2 = e3
| e2 = op(e3,e2)
| ~ spl66_17
| ~ spl66_148
| ~ spl66_150 ),
inference(forward_demodulation,[],[f18209,f1352]) ).
fof(f18209,plain,
( e0 = e2
| e2 = e3
| e2 = op(e3,e2)
| e2 = op(e3,e0)
| ~ spl66_17
| ~ spl66_150 ),
inference(forward_demodulation,[],[f16536,f1361]) ).
fof(f16536,plain,
( e2 = e3
| e2 = op(e3,e3)
| e2 = op(e3,e2)
| e2 = op(e3,e0)
| ~ spl66_17 ),
inference(forward_demodulation,[],[f545,f717]) ).
fof(f18243,plain,
( ~ spl66_183
| ~ spl66_183
| spl66_198 ),
inference(avatar_split_clause,[],[f15422,f11889,f1603,f1603]) ).
fof(f15422,plain,
( e2 != op(e0,e2)
| ~ spl66_183
| spl66_198 ),
inference(superposition,[],[f11891,f1605]) ).
fof(f11891,plain,
( e2 != op(e0,op(e0,e2))
| spl66_198 ),
inference(avatar_component_clause,[],[f11889]) ).
fof(f18227,plain,
( spl66_169
| spl66_153
| spl66_6
| ~ spl66_27
| ~ spl66_42 ),
inference(avatar_split_clause,[],[f18203,f835,f763,f663,f1373,f1442]) ).
fof(f18203,plain,
( e2 = e3
| e3 = op(e2,e2)
| e3 = op(e2,e1)
| ~ spl66_27
| ~ spl66_42 ),
inference(duplicate_literal_removal,[],[f18202]) ).
fof(f18202,plain,
( e2 = e3
| e2 = e3
| e3 = op(e2,e2)
| e3 = op(e2,e1)
| ~ spl66_27
| ~ spl66_42 ),
inference(forward_demodulation,[],[f17067,f837]) ).
fof(f17067,plain,
( e2 = e3
| e3 = op(e2,e2)
| e3 = op(e2,e1)
| e3 = op(e2,e0)
| ~ spl66_27 ),
inference(forward_demodulation,[],[f539,f765]) ).
fof(f18194,plain,
( spl66_12
| spl66_3
| spl66_5
| ~ spl66_148
| ~ spl66_150
| ~ spl66_184 ),
inference(avatar_split_clause,[],[f18162,f1666,f1360,f1351,f658,f648,f691]) ).
fof(f18162,plain,
( e1 = e3
| e0 = e3
| e3 = op(e3,e2)
| ~ spl66_148
| ~ spl66_150
| ~ spl66_184 ),
inference(duplicate_literal_removal,[],[f18161]) ).
fof(f18161,plain,
( e1 = e3
| e0 = e3
| e1 = e3
| e3 = op(e3,e2)
| ~ spl66_148
| ~ spl66_150
| ~ spl66_184 ),
inference(forward_demodulation,[],[f18158,f1668]) ).
fof(f18158,plain,
( e0 = e3
| e1 = e3
| e3 = op(e3,e2)
| e3 = op(e3,e1)
| ~ spl66_148
| ~ spl66_150 ),
inference(forward_demodulation,[],[f13706,f1361]) ).
fof(f13706,plain,
( e1 = e3
| e3 = op(e3,e3)
| e3 = op(e3,e2)
| e3 = op(e3,e1)
| ~ spl66_148 ),
inference(forward_demodulation,[],[f547,f1352]) ).
fof(f547,plain,
( e3 = op(e3,e3)
| e3 = op(e3,e2)
| e3 = op(e3,e1)
| e3 = op(e3,e0) ),
inference(cnf_transformation,[],[f2]) ).
fof(f18193,plain,
( ~ spl66_32
| ~ spl66_27
| spl66_127 ),
inference(avatar_split_clause,[],[f15395,f1252,f763,f787]) ).
fof(f1252,plain,
( spl66_127
<=> op(e2,e2) = op(e2,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl66_127])]) ).
fof(f15395,plain,
( e2 != op(e2,e2)
| ~ spl66_27
| spl66_127 ),
inference(superposition,[],[f1254,f765]) ).
fof(f1254,plain,
( op(e2,e2) != op(e2,e3)
| spl66_127 ),
inference(avatar_component_clause,[],[f1252]) ).
fof(f18160,plain,
( spl66_1
| ~ spl66_148
| ~ spl66_176 ),
inference(avatar_split_clause,[],[f18159,f1491,f1351,f638]) ).
fof(f18159,plain,
( e0 = e1
| ~ spl66_148
| ~ spl66_176 ),
inference(forward_demodulation,[],[f1352,f1493]) ).
fof(f18149,plain,
( ~ spl66_54
| spl66_5
| ~ spl66_169 ),
inference(avatar_split_clause,[],[f18146,f1442,f658,f893]) ).
fof(f18146,plain,
( e1 = e3
| ~ sP28
| ~ spl66_169 ),
inference(forward_demodulation,[],[f390,f1443]) ).
fof(f390,plain,
( e1 = op(e2,e1)
| ~ sP28 ),
inference(cnf_transformation,[],[f158]) ).
fof(f18145,plain,
( ~ spl66_55
| spl66_5
| ~ spl66_169 ),
inference(avatar_split_clause,[],[f18144,f1442,f658,f898]) ).
fof(f18144,plain,
( e1 = e3
| ~ sP27
| ~ spl66_169 ),
inference(forward_demodulation,[],[f394,f1443]) ).
fof(f18142,plain,
( ~ spl66_51
| spl66_5
| ~ spl66_169 ),
inference(avatar_split_clause,[],[f18108,f1442,f658,f879]) ).
fof(f18108,plain,
( e1 = e3
| ~ sP30
| ~ spl66_169 ),
inference(forward_demodulation,[],[f382,f1443]) ).
fof(f18098,plain,
( spl66_4
| spl66_5
| spl66_1
| ~ spl66_42
| ~ spl66_176
| ~ spl66_185
| ~ spl66_187 ),
inference(avatar_split_clause,[],[f18045,f1790,f1770,f1491,f835,f638,f658,f653]) ).
fof(f18045,plain,
( e0 = e1
| e1 = e3
| e1 = e2
| ~ spl66_42
| ~ spl66_176
| ~ spl66_185
| ~ spl66_187 ),
inference(forward_demodulation,[],[f2671,f1493]) ).
fof(f2671,plain,
( e1 = e3
| e1 = e2
| e1 = op(e3,e0)
| ~ spl66_42
| ~ spl66_185
| ~ spl66_187 ),
inference(duplicate_literal_removal,[],[f2161]) ).
fof(f2161,plain,
( e1 = e3
| e1 = e2
| e1 = e3
| e1 = op(e3,e0)
| ~ spl66_42
| ~ spl66_185
| ~ spl66_187 ),
inference(forward_demodulation,[],[f2160,f1772]) ).
fof(f2160,plain,
( e1 = e2
| e1 = e3
| e1 = op(e3,e0)
| op(e0,e0) = e1
| ~ spl66_42
| ~ spl66_187 ),
inference(forward_demodulation,[],[f1956,f837]) ).
fof(f1956,plain,
( e1 = e3
| e1 = op(e3,e0)
| e1 = op(e2,e0)
| op(e0,e0) = e1
| ~ spl66_187 ),
inference(forward_demodulation,[],[f520,f1792]) ).
fof(f18095,plain,
( ~ spl66_152
| ~ spl66_27
| spl66_105 ),
inference(avatar_split_clause,[],[f15391,f1142,f763,f1368]) ).
fof(f15391,plain,
( e2 != op(e0,e3)
| ~ spl66_27
| spl66_105 ),
inference(superposition,[],[f1144,f765]) ).
fof(f18092,plain,
( ~ spl66_52
| ~ spl66_188
| spl66_197 ),
inference(avatar_split_clause,[],[f18022,f11032,f1796,f883]) ).
fof(f18022,plain,
( e1 != op(e1,e2)
| ~ spl66_188
| spl66_197 ),
inference(forward_demodulation,[],[f11034,f1798]) ).
fof(f11034,plain,
( e1 != op(e1,op(e1,e1))
| spl66_197 ),
inference(avatar_component_clause,[],[f11032]) ).
fof(f18023,plain,
( spl66_150
| spl66_2
| spl66_1
| spl66_3
| ~ spl66_27
| ~ spl66_47
| ~ spl66_186 ),
inference(avatar_split_clause,[],[f17975,f1774,f859,f763,f648,f638,f643,f1360]) ).
fof(f17975,plain,
( e0 = e3
| e0 = e1
| e0 = e2
| e0 = op(e3,e3)
| ~ spl66_27
| ~ spl66_47
| ~ spl66_186 ),
inference(forward_demodulation,[],[f15893,f1776]) ).
fof(f15893,plain,
( e0 = e1
| e0 = e2
| e0 = op(e3,e3)
| e0 = op(e0,e3)
| ~ spl66_27
| ~ spl66_47 ),
inference(forward_demodulation,[],[f10218,f861]) ).
fof(f10218,plain,
( e0 = e2
| e0 = op(e3,e3)
| e0 = op(e1,e3)
| e0 = op(e0,e3)
| ~ spl66_27 ),
inference(forward_demodulation,[],[f542,f765]) ).
fof(f18018,plain,
( spl66_179
| spl66_3
| spl66_1
| spl66_2
| ~ spl66_187
| ~ spl66_188
| ~ spl66_197 ),
inference(avatar_split_clause,[],[f17962,f11032,f1796,f1790,f643,f638,f648,f1535]) ).
fof(f17962,plain,
( e0 = e2
| e0 = e1
| e0 = e3
| e0 = op(e1,e3)
| ~ spl66_187
| ~ spl66_188
| ~ spl66_197 ),
inference(forward_demodulation,[],[f17961,f1798]) ).
fof(f17961,plain,
( e0 = e1
| e0 = e3
| e0 = op(e1,e3)
| e0 = op(e1,e1)
| ~ spl66_187
| ~ spl66_188
| ~ spl66_197 ),
inference(forward_demodulation,[],[f10774,f11599]) ).
fof(f11599,plain,
( e1 = op(e1,e2)
| ~ spl66_188
| ~ spl66_197 ),
inference(superposition,[],[f11033,f1798]) ).
fof(f10774,plain,
( e0 = e3
| e0 = op(e1,e3)
| e0 = op(e1,e2)
| e0 = op(e1,e1)
| ~ spl66_187 ),
inference(forward_demodulation,[],[f525,f1792]) ).
fof(f18016,plain,
( ~ spl66_77
| spl66_139
| ~ spl66_168 ),
inference(avatar_split_clause,[],[f17172,f1438,f1309,f1003]) ).
fof(f17974,plain,
( ~ spl66_45
| spl66_1
| ~ spl66_168 ),
inference(avatar_split_clause,[],[f7401,f1438,f638,f850]) ).
fof(f850,plain,
( spl66_45
<=> sP35 ),
introduced(avatar_definition,[new_symbols(naming,[spl66_45])]) ).
fof(f7401,plain,
( e0 = e1
| ~ sP35
| ~ spl66_168 ),
inference(forward_demodulation,[],[f364,f1439]) ).
fof(f364,plain,
( e0 = op(e0,e0)
| ~ sP35 ),
inference(cnf_transformation,[],[f151]) ).
fof(f151,plain,
( ( e0 = op(e0,e0)
& e0 = op(e0,e0)
& e2 = op(e0,e2)
& e2 = op(e2,e0) )
| ~ sP35 ),
inference(nnf_transformation,[],[f89]) ).
fof(f89,plain,
( ( e0 = op(e0,e0)
& e0 = op(e0,e0)
& e2 = op(e0,e2)
& e2 = op(e2,e0) )
| ~ sP35 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP35])]) ).
fof(f17972,plain,
( ~ spl66_76
| spl66_3
| ~ spl66_187 ),
inference(avatar_split_clause,[],[f17971,f1790,f648,f999]) ).
fof(f17971,plain,
( e0 = e3
| ~ sP10
| ~ spl66_187 ),
inference(forward_demodulation,[],[f462,f1792]) ).
fof(f17970,plain,
( ~ spl66_48
| spl66_6
| ~ spl66_27 ),
inference(avatar_split_clause,[],[f17969,f763,f663,f864]) ).
fof(f17969,plain,
( e2 = e3
| ~ sP33
| ~ spl66_27 ),
inference(forward_demodulation,[],[f371,f765]) ).
fof(f17968,plain,
( ~ spl66_50
| spl66_3
| ~ spl66_176 ),
inference(avatar_split_clause,[],[f17947,f1491,f648,f874]) ).
fof(f874,plain,
( spl66_50
<=> sP31 ),
introduced(avatar_definition,[new_symbols(naming,[spl66_50])]) ).
fof(f17947,plain,
( e0 = e3
| ~ sP31
| ~ spl66_176 ),
inference(forward_demodulation,[],[f380,f1493]) ).
fof(f380,plain,
( e3 = op(e3,e0)
| ~ sP31 ),
inference(cnf_transformation,[],[f155]) ).
fof(f155,plain,
( ( e3 = op(e3,e0)
& e3 = op(e0,e3)
& e1 = op(e3,e1)
& e1 = op(e1,e3) )
| ~ sP31 ),
inference(nnf_transformation,[],[f85]) ).
fof(f85,plain,
( ( e3 = op(e3,e0)
& e3 = op(e0,e3)
& e1 = op(e3,e1)
& e1 = op(e1,e3) )
| ~ sP31 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP31])]) ).
fof(f17945,plain,
( ~ spl66_44
| spl66_174 ),
inference(avatar_split_clause,[],[f359,f1483,f845]) ).
fof(f359,plain,
( e0 = op(e1,e0)
| ~ sP36 ),
inference(cnf_transformation,[],[f150]) ).
fof(f17908,plain,
( ~ spl66_78
| spl66_5
| ~ spl66_169 ),
inference(avatar_split_clause,[],[f17907,f1442,f658,f1008]) ).
fof(f17907,plain,
( e1 = e3
| ~ sP9
| ~ spl66_169 ),
inference(forward_demodulation,[],[f467,f1443]) ).
fof(f467,plain,
( e1 = op(e2,e1)
| ~ sP9 ),
inference(cnf_transformation,[],[f177]) ).
fof(f17906,plain,
( ~ spl66_80
| spl66_1
| ~ spl66_77 ),
inference(avatar_split_clause,[],[f8231,f1003,f638,f1018]) ).
fof(f1018,plain,
( spl66_80
<=> sP7 ),
introduced(avatar_definition,[new_symbols(naming,[spl66_80])]) ).
fof(f8231,plain,
( e0 = e1
| ~ sP7
| ~ spl66_77 ),
inference(forward_demodulation,[],[f475,f1005]) ).
fof(f475,plain,
( e1 = op(e0,e1)
| ~ sP7 ),
inference(cnf_transformation,[],[f179]) ).
fof(f179,plain,
( ( e1 = op(e1,e0)
& e1 = op(e0,e1)
& e0 = op(e1,e0)
& e0 = op(e0,e1) )
| ~ sP7 ),
inference(nnf_transformation,[],[f61]) ).
fof(f61,plain,
( ( e1 = op(e1,e0)
& e1 = op(e0,e1)
& e0 = op(e1,e0)
& e0 = op(e0,e1) )
| ~ sP7 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP7])]) ).
fof(f17904,plain,
( ~ spl66_79
| spl66_4
| ~ spl66_188 ),
inference(avatar_split_clause,[],[f8228,f1796,f653,f1013]) ).
fof(f8228,plain,
( e1 = e2
| ~ sP8
| ~ spl66_188 ),
inference(forward_demodulation,[],[f472,f1798]) ).
fof(f17902,plain,
( ~ spl66_76
| spl66_5
| ~ spl66_180 ),
inference(avatar_split_clause,[],[f8136,f1564,f658,f999]) ).
fof(f8136,plain,
( e1 = e3
| ~ sP10
| ~ spl66_180 ),
inference(forward_demodulation,[],[f464,f1566]) ).
fof(f464,plain,
( e1 = op(e1,e3)
| ~ sP10 ),
inference(cnf_transformation,[],[f176]) ).
fof(f17900,plain,
( ~ spl66_41
| spl66_1
| ~ spl66_154 ),
inference(avatar_split_clause,[],[f7566,f1377,f638,f831]) ).
fof(f7566,plain,
( e0 = e1
| ~ sP38
| ~ spl66_154 ),
inference(forward_demodulation,[],[f352,f1378]) ).
fof(f352,plain,
( e0 = op(e0,e3)
| ~ sP38 ),
inference(cnf_transformation,[],[f148]) ).
fof(f17844,plain,
( spl66_12
| spl66_5
| spl66_3
| ~ spl66_148
| ~ spl66_150
| ~ spl66_157 ),
inference(avatar_split_clause,[],[f17774,f1390,f1360,f1351,f648,f658,f691]) ).
fof(f17774,plain,
( e0 = e3
| e1 = e3
| e3 = op(e3,e2)
| ~ spl66_148
| ~ spl66_150
| ~ spl66_157 ),
inference(duplicate_literal_removal,[],[f17773]) ).
fof(f17773,plain,
( e0 = e3
| e0 = e3
| e1 = e3
| e3 = op(e3,e2)
| ~ spl66_148
| ~ spl66_150
| ~ spl66_157 ),
inference(forward_demodulation,[],[f17772,f1391]) ).
fof(f17772,plain,
( e0 = e3
| e1 = e3
| e3 = op(e3,e2)
| e3 = op(e3,e1)
| ~ spl66_148
| ~ spl66_150 ),
inference(forward_demodulation,[],[f13706,f1361]) ).
fof(f17836,plain,
( spl66_148
| ~ spl66_141
| ~ spl66_157 ),
inference(avatar_split_clause,[],[f8997,f1390,f1319,f1351]) ).
fof(f8997,plain,
( e1 = op(e3,e0)
| ~ spl66_141
| ~ spl66_157 ),
inference(superposition,[],[f1320,f1391]) ).
fof(f1320,plain,
( e1 = op(e3,op(e3,e1))
| ~ spl66_141 ),
inference(avatar_component_clause,[],[f1319]) ).
fof(f17789,plain,
( ~ spl66_56
| spl66_1
| ~ spl66_157 ),
inference(avatar_split_clause,[],[f17787,f1390,f638,f903]) ).
fof(f17787,plain,
( e0 = e1
| ~ sP26
| ~ spl66_157 ),
inference(forward_demodulation,[],[f399,f1391]) ).
fof(f399,plain,
( e1 = op(e3,e1)
| ~ sP26 ),
inference(cnf_transformation,[],[f160]) ).
fof(f17785,plain,
( ~ spl66_30
| spl66_5
| ~ spl66_154 ),
inference(avatar_split_clause,[],[f8215,f1377,f658,f778]) ).
fof(f8215,plain,
( e1 = e3
| ~ sP47
| ~ spl66_154 ),
inference(forward_demodulation,[],[f315,f1378]) ).
fof(f315,plain,
( e3 = op(e0,e3)
| ~ sP47 ),
inference(cnf_transformation,[],[f139]) ).
fof(f17771,plain,
( spl66_1
| ~ spl66_139
| ~ spl66_154
| ~ spl66_185 ),
inference(avatar_split_clause,[],[f17740,f1770,f1377,f1309,f638]) ).
fof(f17740,plain,
( e0 = e1
| ~ spl66_139
| ~ spl66_154
| ~ spl66_185 ),
inference(forward_demodulation,[],[f1378,f11744]) ).
fof(f17707,plain,
( spl66_153
| spl66_5
| spl66_6
| ~ spl66_52
| ~ spl66_183
| ~ spl66_191 ),
inference(avatar_split_clause,[],[f17636,f4451,f1603,f883,f663,f658,f1373]) ).
fof(f17636,plain,
( e2 = e3
| e1 = e3
| e3 = op(e2,e2)
| ~ spl66_52
| ~ spl66_183
| ~ spl66_191 ),
inference(duplicate_literal_removal,[],[f17635]) ).
fof(f17635,plain,
( e2 = e3
| e1 = e3
| e2 = e3
| e3 = op(e2,e2)
| ~ spl66_52
| ~ spl66_183
| ~ spl66_191 ),
inference(forward_demodulation,[],[f13735,f4453]) ).
fof(f13735,plain,
( e1 = e3
| e2 = e3
| e3 = op(e3,e2)
| e3 = op(e2,e2)
| ~ spl66_52
| ~ spl66_183 ),
inference(forward_demodulation,[],[f9702,f885]) ).
fof(f9702,plain,
( e2 = e3
| e3 = op(e3,e2)
| e3 = op(e2,e2)
| e3 = op(e1,e2)
| ~ spl66_183 ),
inference(forward_demodulation,[],[f540,f1605]) ).
fof(f17703,plain,
( ~ spl66_66
| spl66_8 ),
inference(avatar_split_clause,[],[f432,f672,f951]) ).
fof(f951,plain,
( spl66_66
<=> sP18 ),
introduced(avatar_definition,[new_symbols(naming,[spl66_66])]) ).
fof(f432,plain,
( e3 = op(e3,e3)
| ~ sP18 ),
inference(cnf_transformation,[],[f168]) ).
fof(f168,plain,
( ( e3 = op(e3,e3)
& e3 = op(e3,e3)
& e0 = op(e3,e0)
& e0 = op(e0,e3) )
| ~ sP18 ),
inference(nnf_transformation,[],[f72]) ).
fof(f72,plain,
( ( e3 = op(e3,e3)
& e3 = op(e3,e3)
& e0 = op(e3,e0)
& e0 = op(e0,e3) )
| ~ sP18 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP18])]) ).
fof(f17606,plain,
( spl66_32
| spl66_191
| spl66_6
| spl66_2
| ~ spl66_72
| ~ spl66_158 ),
inference(avatar_split_clause,[],[f5020,f1394,f979,f643,f663,f4451,f787]) ).
fof(f5020,plain,
( e0 = e2
| e2 = e3
| e2 = op(e3,e2)
| e2 = op(e2,e2)
| ~ spl66_72
| ~ spl66_158 ),
inference(forward_demodulation,[],[f3945,f981]) ).
fof(f3945,plain,
( e2 = e3
| e2 = op(e3,e2)
| e2 = op(e2,e2)
| e2 = op(e0,e2)
| ~ spl66_158 ),
inference(forward_demodulation,[],[f538,f1395]) ).
fof(f1395,plain,
( e3 = op(e1,e2)
| ~ spl66_158 ),
inference(avatar_component_clause,[],[f1394]) ).
fof(f17596,plain,
( spl66_159
| spl66_1
| spl66_5
| spl66_4
| ~ spl66_17
| ~ spl66_176
| ~ spl66_191 ),
inference(avatar_split_clause,[],[f17152,f4451,f1491,f715,f653,f658,f638,f1399]) ).
fof(f17152,plain,
( e1 = e2
| e1 = e3
| e0 = e1
| e1 = op(e3,e3)
| ~ spl66_17
| ~ spl66_176
| ~ spl66_191 ),
inference(forward_demodulation,[],[f16975,f4453]) ).
fof(f16975,plain,
( e1 = e3
| e0 = e1
| e1 = op(e3,e3)
| e1 = op(e3,e2)
| ~ spl66_17
| ~ spl66_176 ),
inference(forward_demodulation,[],[f16637,f717]) ).
fof(f16637,plain,
( e0 = e1
| e1 = op(e3,e3)
| e1 = op(e3,e2)
| e1 = op(e3,e1)
| ~ spl66_176 ),
inference(forward_demodulation,[],[f543,f1493]) ).
fof(f17583,plain,
( spl66_72
| ~ spl66_139
| ~ spl66_171 ),
inference(avatar_split_clause,[],[f13145,f1451,f1309,f979]) ).
fof(f17509,plain,
( ~ spl66_61
| spl66_177 ),
inference(avatar_split_clause,[],[f414,f1503,f927]) ).
fof(f927,plain,
( spl66_61
<=> sP22 ),
introduced(avatar_definition,[new_symbols(naming,[spl66_61])]) ).
fof(f414,plain,
( e1 = op(e0,e1)
| ~ sP22 ),
inference(cnf_transformation,[],[f164]) ).
fof(f164,plain,
( ( e0 = op(e0,e3)
& e0 = op(e3,e0)
& e1 = op(e0,e1)
& e1 = op(e1,e0) )
| ~ sP22 ),
inference(nnf_transformation,[],[f76]) ).
fof(f76,plain,
( ( e0 = op(e0,e3)
& e0 = op(e3,e0)
& e1 = op(e0,e1)
& e1 = op(e1,e0) )
| ~ sP22 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP22])]) ).
fof(f17401,plain,
( ~ spl66_148
| spl66_130
| ~ spl66_159 ),
inference(avatar_split_clause,[],[f2465,f1399,f1267,f1351]) ).
fof(f1267,plain,
( spl66_130
<=> op(e3,e0) = op(e3,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl66_130])]) ).
fof(f2465,plain,
( e1 != op(e3,e0)
| spl66_130
| ~ spl66_159 ),
inference(superposition,[],[f1269,f1400]) ).
fof(f1269,plain,
( op(e3,e0) != op(e3,e3)
| spl66_130 ),
inference(avatar_component_clause,[],[f1267]) ).
fof(f17397,plain,
( ~ spl66_187
| ~ spl66_137
| ~ spl66_187
| spl66_195 ),
inference(avatar_split_clause,[],[f17344,f9319,f1790,f1300,f1790]) ).
fof(f17344,plain,
( e3 != op(e1,e0)
| ~ spl66_137
| ~ spl66_187
| spl66_195 ),
inference(forward_demodulation,[],[f9321,f13164]) ).
fof(f13164,plain,
( e0 = op(e1,e3)
| ~ spl66_137
| ~ spl66_187 ),
inference(superposition,[],[f1301,f1792]) ).
fof(f17337,plain,
( spl66_6
| spl66_4
| ~ spl66_12
| ~ spl66_17
| ~ spl66_148
| ~ spl66_159 ),
inference(avatar_split_clause,[],[f17313,f1399,f1351,f715,f691,f653,f663]) ).
fof(f17313,plain,
( e1 = e2
| e2 = e3
| ~ spl66_12
| ~ spl66_17
| ~ spl66_148
| ~ spl66_159 ),
inference(duplicate_literal_removal,[],[f17312]) ).
fof(f17312,plain,
( e1 = e2
| e1 = e2
| e2 = e3
| ~ spl66_12
| ~ spl66_17
| ~ spl66_148
| ~ spl66_159 ),
inference(forward_demodulation,[],[f17311,f1352]) ).
fof(f17311,plain,
( e1 = e2
| e2 = e3
| e2 = op(e3,e0)
| ~ spl66_12
| ~ spl66_17
| ~ spl66_159 ),
inference(forward_demodulation,[],[f17233,f1400]) ).
fof(f17233,plain,
( e2 = e3
| e2 = op(e3,e3)
| e2 = op(e3,e0)
| ~ spl66_12
| ~ spl66_17 ),
inference(duplicate_literal_removal,[],[f3413]) ).
fof(f3413,plain,
( e2 = e3
| e2 = e3
| e2 = op(e3,e3)
| e2 = op(e3,e0)
| ~ spl66_12
| ~ spl66_17 ),
inference(forward_demodulation,[],[f3283,f717]) ).
fof(f17322,plain,
( ~ spl66_83
| spl66_1
| ~ spl66_178 ),
inference(avatar_split_clause,[],[f17320,f1507,f638,f1032]) ).
fof(f17320,plain,
( e0 = e1
| ~ sP5
| ~ spl66_178 ),
inference(forward_demodulation,[],[f484,f1509]) ).
fof(f484,plain,
( e0 = op(e0,e2)
| ~ sP5 ),
inference(cnf_transformation,[],[f181]) ).
fof(f17319,plain,
( ~ spl66_45
| spl66_4
| ~ spl66_178 ),
inference(avatar_split_clause,[],[f6499,f1507,f653,f850]) ).
fof(f6499,plain,
( e1 = e2
| ~ sP35
| ~ spl66_178 ),
inference(forward_demodulation,[],[f362,f1509]) ).
fof(f362,plain,
( e2 = op(e0,e2)
| ~ sP35 ),
inference(cnf_transformation,[],[f151]) ).
fof(f17307,plain,
( spl66_177
| ~ spl66_12
| ~ spl66_142
| ~ spl66_159
| ~ spl66_178 ),
inference(avatar_split_clause,[],[f17306,f1507,f1399,f1324,f691,f1503]) ).
fof(f17306,plain,
( e1 = op(e0,e1)
| ~ spl66_12
| ~ spl66_142
| ~ spl66_159
| ~ spl66_178 ),
inference(forward_demodulation,[],[f1509,f9731]) ).
fof(f9731,plain,
( e1 = e2
| ~ spl66_12
| ~ spl66_142
| ~ spl66_159 ),
inference(forward_demodulation,[],[f9726,f1400]) ).
fof(f17305,plain,
( spl66_178
| ~ spl66_182
| ~ spl66_199 ),
inference(avatar_split_clause,[],[f15551,f15278,f1599,f1507]) ).
fof(f17287,plain,
( ~ spl66_138
| ~ spl66_178
| ~ spl66_182 ),
inference(avatar_split_clause,[],[f11304,f1599,f1507,f1305]) ).
fof(f11304,plain,
( ~ sP0
| ~ spl66_178
| ~ spl66_182 ),
inference(trivial_inequality_removal,[],[f10205]) ).
fof(f10205,plain,
( e1 != e1
| ~ sP0
| ~ spl66_178
| ~ spl66_182 ),
inference(forward_demodulation,[],[f10192,f1509]) ).
fof(f10192,plain,
( e1 != op(e0,e2)
| ~ sP0
| ~ spl66_182 ),
inference(forward_demodulation,[],[f502,f1601]) ).
fof(f502,plain,
( e1 != op(e0,op(e0,e1))
| ~ sP0 ),
inference(cnf_transformation,[],[f186]) ).
fof(f17231,plain,
( ~ spl66_29
| spl66_5
| ~ spl66_47 ),
inference(avatar_split_clause,[],[f17214,f859,f658,f773]) ).
fof(f17214,plain,
( e1 = e3
| ~ sP48
| ~ spl66_47 ),
inference(forward_demodulation,[],[f311,f861]) ).
fof(f311,plain,
( e3 = op(e1,e3)
| ~ sP48 ),
inference(cnf_transformation,[],[f138]) ).
fof(f17206,plain,
( spl66_179
| spl66_2
| spl66_3
| ~ spl66_162
| ~ spl66_187
| ~ spl66_189 ),
inference(avatar_split_clause,[],[f17088,f1800,f1790,f1412,f648,f643,f1535]) ).
fof(f17088,plain,
( e0 = e3
| e0 = e2
| e0 = op(e1,e3)
| ~ spl66_162
| ~ spl66_187
| ~ spl66_189 ),
inference(duplicate_literal_removal,[],[f17087]) ).
fof(f17087,plain,
( e0 = e3
| e0 = e2
| e0 = e3
| e0 = op(e1,e3)
| ~ spl66_162
| ~ spl66_187
| ~ spl66_189 ),
inference(forward_demodulation,[],[f17086,f1792]) ).
fof(f17086,plain,
( e0 = e2
| e0 = e3
| e0 = op(e1,e3)
| e0 = op(e1,e0)
| ~ spl66_162
| ~ spl66_189 ),
inference(forward_demodulation,[],[f15431,f1802]) ).
fof(f15431,plain,
( e0 = e3
| e0 = op(e1,e3)
| e0 = op(e1,e2)
| e0 = op(e1,e0)
| ~ spl66_162 ),
inference(forward_demodulation,[],[f525,f1413]) ).
fof(f17185,plain,
( spl66_153
| spl66_3
| spl66_6
| ~ spl66_72
| ~ spl66_189
| ~ spl66_191 ),
inference(avatar_split_clause,[],[f17076,f4451,f1800,f979,f663,f648,f1373]) ).
fof(f17076,plain,
( e2 = e3
| e0 = e3
| e3 = op(e2,e2)
| ~ spl66_72
| ~ spl66_189
| ~ spl66_191 ),
inference(duplicate_literal_removal,[],[f17075]) ).
fof(f17075,plain,
( e2 = e3
| e0 = e3
| e2 = e3
| e3 = op(e2,e2)
| ~ spl66_72
| ~ spl66_189
| ~ spl66_191 ),
inference(forward_demodulation,[],[f14768,f4453]) ).
fof(f14768,plain,
( e0 = e3
| e2 = e3
| e3 = op(e3,e2)
| e3 = op(e2,e2)
| ~ spl66_72
| ~ spl66_189 ),
inference(forward_demodulation,[],[f14767,f981]) ).
fof(f14767,plain,
( e2 = e3
| e3 = op(e3,e2)
| e3 = op(e2,e2)
| e3 = op(e0,e2)
| ~ spl66_189 ),
inference(forward_demodulation,[],[f540,f1802]) ).
fof(f17158,plain,
( spl66_5
| spl66_4
| spl66_1
| ~ spl66_42
| ~ spl66_171
| ~ spl66_176
| ~ spl66_187 ),
inference(avatar_split_clause,[],[f17105,f1790,f1491,f1451,f835,f638,f653,f658]) ).
fof(f17105,plain,
( e0 = e1
| e1 = e2
| e1 = e3
| ~ spl66_42
| ~ spl66_171
| ~ spl66_176
| ~ spl66_187 ),
inference(forward_demodulation,[],[f6494,f1493]) ).
fof(f6494,plain,
( e1 = e2
| e1 = e3
| e1 = op(e3,e0)
| ~ spl66_42
| ~ spl66_171
| ~ spl66_187 ),
inference(duplicate_literal_removal,[],[f6493]) ).
fof(f6493,plain,
( e1 = e2
| e1 = e3
| e1 = e2
| e1 = op(e3,e0)
| ~ spl66_42
| ~ spl66_171
| ~ spl66_187 ),
inference(forward_demodulation,[],[f2629,f1452]) ).
fof(f2629,plain,
( e1 = e3
| e1 = e2
| e1 = op(e3,e0)
| op(e0,e0) = e1
| ~ spl66_42
| ~ spl66_187 ),
inference(forward_demodulation,[],[f2151,f1792]) ).
fof(f17149,plain,
( spl66_159
| ~ spl66_17
| ~ spl66_141 ),
inference(avatar_split_clause,[],[f17034,f1319,f715,f1399]) ).
fof(f17034,plain,
( e1 = op(e3,e3)
| ~ spl66_17
| ~ spl66_141 ),
inference(forward_demodulation,[],[f1320,f717]) ).
fof(f17142,plain,
( spl66_47
| ~ spl66_162
| ~ spl66_197 ),
inference(avatar_split_clause,[],[f15759,f11032,f1412,f859]) ).
fof(f15759,plain,
( e1 = op(e1,e3)
| ~ spl66_162
| ~ spl66_197 ),
inference(forward_demodulation,[],[f11033,f1413]) ).
fof(f17141,plain,
( ~ spl66_179
| spl66_137
| ~ spl66_187 ),
inference(avatar_split_clause,[],[f13407,f1790,f1300,f1535]) ).
fof(f13407,plain,
( e0 != op(e1,e3)
| spl66_137
| ~ spl66_187 ),
inference(forward_demodulation,[],[f1302,f1792]) ).
fof(f1302,plain,
( e0 != op(e1,op(e1,e0))
| spl66_137 ),
inference(avatar_component_clause,[],[f1300]) ).
fof(f17112,plain,
( ~ spl66_29
| spl66_5
| ~ spl66_162
| ~ spl66_197 ),
inference(avatar_split_clause,[],[f17111,f11032,f1412,f658,f773]) ).
fof(f17111,plain,
( e1 = e3
| ~ sP48
| ~ spl66_162
| ~ spl66_197 ),
inference(forward_demodulation,[],[f311,f15759]) ).
fof(f17110,plain,
( ~ spl66_46
| spl66_5
| ~ spl66_159 ),
inference(avatar_split_clause,[],[f17062,f1399,f658,f855]) ).
fof(f855,plain,
( spl66_46
<=> sP34 ),
introduced(avatar_definition,[new_symbols(naming,[spl66_46])]) ).
fof(f17062,plain,
( e1 = e3
| ~ sP34
| ~ spl66_159 ),
inference(forward_demodulation,[],[f368,f1400]) ).
fof(f368,plain,
( e3 = op(e3,e3)
| ~ sP34 ),
inference(cnf_transformation,[],[f152]) ).
fof(f152,plain,
( ( e3 = op(e3,e3)
& e3 = op(e3,e3)
& e1 = op(e3,e1)
& e1 = op(e1,e3) )
| ~ sP34 ),
inference(nnf_transformation,[],[f88]) ).
fof(f88,plain,
( ( e3 = op(e3,e3)
& e3 = op(e3,e3)
& e1 = op(e3,e1)
& e1 = op(e1,e3) )
| ~ sP34 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP34])]) ).
fof(f17051,plain,
( ~ spl66_18
| spl66_5
| ~ spl66_158 ),
inference(avatar_split_clause,[],[f5347,f1394,f658,f720]) ).
fof(f5347,plain,
( e1 = e3
| ~ sP57
| ~ spl66_158 ),
inference(forward_demodulation,[],[f276,f1395]) ).
fof(f276,plain,
( e1 = op(e1,e2)
| ~ sP57 ),
inference(cnf_transformation,[],[f129]) ).
fof(f17048,plain,
( ~ spl66_20
| spl66_3
| ~ spl66_179 ),
inference(avatar_split_clause,[],[f17047,f1535,f648,f730]) ).
fof(f17047,plain,
( e0 = e3
| ~ sP55
| ~ spl66_179 ),
inference(forward_demodulation,[],[f282,f1537]) ).
fof(f282,plain,
( e3 = op(e1,e3)
| ~ sP55 ),
inference(cnf_transformation,[],[f131]) ).
fof(f17046,plain,
( ~ spl66_61
| spl66_3
| ~ spl66_186 ),
inference(avatar_split_clause,[],[f17045,f1774,f648,f927]) ).
fof(f17045,plain,
( e0 = e3
| ~ sP22
| ~ spl66_186 ),
inference(forward_demodulation,[],[f416,f1776]) ).
fof(f416,plain,
( e0 = op(e0,e3)
| ~ sP22 ),
inference(cnf_transformation,[],[f164]) ).
fof(f17044,plain,
( ~ spl66_65
| spl66_2
| ~ spl66_171 ),
inference(avatar_split_clause,[],[f17043,f1451,f643,f946]) ).
fof(f946,plain,
( spl66_65
<=> sP19 ),
introduced(avatar_definition,[new_symbols(naming,[spl66_65])]) ).
fof(f17043,plain,
( e0 = e2
| ~ sP19
| ~ spl66_171 ),
inference(forward_demodulation,[],[f428,f1452]) ).
fof(f428,plain,
( e0 = op(e0,e0)
| ~ sP19 ),
inference(cnf_transformation,[],[f167]) ).
fof(f167,plain,
( ( e0 = op(e0,e0)
& e0 = op(e0,e0)
& e1 = op(e0,e1)
& e1 = op(e1,e0) )
| ~ sP19 ),
inference(nnf_transformation,[],[f73]) ).
fof(f73,plain,
( ( e0 = op(e0,e0)
& e0 = op(e0,e0)
& e1 = op(e0,e1)
& e1 = op(e1,e0) )
| ~ sP19 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP19])]) ).
fof(f17042,plain,
( ~ spl66_63
| spl66_3
| ~ spl66_173 ),
inference(avatar_split_clause,[],[f17041,f1459,f648,f936]) ).
fof(f936,plain,
( spl66_63
<=> sP21 ),
introduced(avatar_definition,[new_symbols(naming,[spl66_63])]) ).
fof(f1459,plain,
( spl66_173
<=> e3 = op(e2,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl66_173])]) ).
fof(f17041,plain,
( e0 = e3
| ~ sP21
| ~ spl66_173 ),
inference(forward_demodulation,[],[f419,f1460]) ).
fof(f1460,plain,
( e3 = op(e2,e0)
| ~ spl66_173 ),
inference(avatar_component_clause,[],[f1459]) ).
fof(f419,plain,
( e0 = op(e2,e0)
| ~ sP21 ),
inference(cnf_transformation,[],[f165]) ).
fof(f165,plain,
( ( e0 = op(e0,e2)
& e0 = op(e2,e0)
& e1 = op(e0,e1)
& e1 = op(e1,e0) )
| ~ sP21 ),
inference(nnf_transformation,[],[f75]) ).
fof(f75,plain,
( ( e0 = op(e0,e2)
& e0 = op(e2,e0)
& e1 = op(e0,e1)
& e1 = op(e1,e0) )
| ~ sP21 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP21])]) ).
fof(f17040,plain,
( ~ spl66_26
| spl66_5
| ~ spl66_159 ),
inference(avatar_split_clause,[],[f17039,f1399,f658,f759]) ).
fof(f759,plain,
( spl66_26
<=> sP50 ),
introduced(avatar_definition,[new_symbols(naming,[spl66_26])]) ).
fof(f17039,plain,
( e1 = e3
| ~ sP50
| ~ spl66_159 ),
inference(forward_demodulation,[],[f304,f1400]) ).
fof(f304,plain,
( e3 = op(e3,e3)
| ~ sP50 ),
inference(cnf_transformation,[],[f136]) ).
fof(f136,plain,
( ( e3 = op(e3,e3)
& e3 = op(e3,e3)
& e2 = op(e3,e2)
& e2 = op(e2,e3) )
| ~ sP50 ),
inference(nnf_transformation,[],[f104]) ).
fof(f104,plain,
( ( e3 = op(e3,e3)
& e3 = op(e3,e3)
& e2 = op(e3,e2)
& e2 = op(e2,e3) )
| ~ sP50 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP50])]) ).
fof(f17038,plain,
( ~ spl66_71
| spl66_3
| ~ spl66_173 ),
inference(avatar_split_clause,[],[f17037,f1459,f648,f975]) ).
fof(f975,plain,
( spl66_71
<=> sP14 ),
introduced(avatar_definition,[new_symbols(naming,[spl66_71])]) ).
fof(f17037,plain,
( e0 = e3
| ~ sP14
| ~ spl66_173 ),
inference(forward_demodulation,[],[f446,f1460]) ).
fof(f446,plain,
( e0 = op(e2,e0)
| ~ sP14 ),
inference(cnf_transformation,[],[f172]) ).
fof(f172,plain,
( ( e2 = op(e2,e3)
& e2 = op(e3,e2)
& e0 = op(e2,e0)
& e0 = op(e0,e2) )
| ~ sP14 ),
inference(nnf_transformation,[],[f68]) ).
fof(f68,plain,
( ( e2 = op(e2,e3)
& e2 = op(e3,e2)
& e0 = op(e2,e0)
& e0 = op(e0,e2) )
| ~ sP14 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP14])]) ).
fof(f17035,plain,
( ~ spl66_29
| spl66_3
| ~ spl66_179 ),
inference(avatar_split_clause,[],[f17020,f1535,f648,f773]) ).
fof(f17020,plain,
( e0 = e3
| ~ sP48
| ~ spl66_179 ),
inference(forward_demodulation,[],[f311,f1537]) ).
fof(f17019,plain,
( spl66_159
| spl66_1
| spl66_5
| spl66_4
| ~ spl66_27
| ~ spl66_179
| ~ spl66_186 ),
inference(avatar_split_clause,[],[f16971,f1774,f1535,f763,f653,f658,f638,f1399]) ).
fof(f16971,plain,
( e1 = e2
| e1 = e3
| e0 = e1
| e1 = op(e3,e3)
| ~ spl66_27
| ~ spl66_179
| ~ spl66_186 ),
inference(forward_demodulation,[],[f10893,f765]) ).
fof(f10893,plain,
( e1 = e3
| e0 = e1
| e1 = op(e3,e3)
| e1 = op(e2,e3)
| ~ spl66_179
| ~ spl66_186 ),
inference(forward_demodulation,[],[f3478,f1776]) ).
fof(f3478,plain,
( e0 = e1
| e1 = op(e3,e3)
| e1 = op(e2,e3)
| e1 = op(e0,e3)
| ~ spl66_179 ),
inference(forward_demodulation,[],[f544,f1537]) ).
fof(f544,plain,
( e1 = op(e3,e3)
| e1 = op(e2,e3)
| e1 = op(e1,e3)
| e1 = op(e0,e3) ),
inference(cnf_transformation,[],[f2]) ).
fof(f17013,plain,
( spl66_72
| ~ spl66_139
| ~ spl66_171 ),
inference(avatar_split_clause,[],[f13145,f1451,f1309,f979]) ).
fof(f16956,plain,
( spl66_167
| spl66_5
| spl66_4
| spl66_1
| ~ spl66_32
| ~ spl66_160
| ~ spl66_173 ),
inference(avatar_split_clause,[],[f16869,f1459,f1403,f787,f638,f653,f658,f1433]) ).
fof(f16869,plain,
( e0 = e1
| e1 = e2
| e1 = e3
| e1 = op(e2,e3)
| ~ spl66_32
| ~ spl66_160
| ~ spl66_173 ),
inference(forward_demodulation,[],[f16530,f1404]) ).
fof(f16530,plain,
( e1 = e2
| e1 = e3
| e1 = op(e2,e3)
| e1 = op(e2,e1)
| ~ spl66_32
| ~ spl66_173 ),
inference(forward_demodulation,[],[f10055,f789]) ).
fof(f789,plain,
( e2 = op(e2,e2)
| ~ spl66_32 ),
inference(avatar_component_clause,[],[f787]) ).
fof(f10055,plain,
( e1 = e3
| e1 = op(e2,e3)
| e1 = op(e2,e2)
| e1 = op(e2,e1)
| ~ spl66_173 ),
inference(forward_demodulation,[],[f535,f1460]) ).
fof(f16949,plain,
( spl66_52
| spl66_1
| spl66_5
| spl66_4
| ~ spl66_162
| ~ spl66_170
| ~ spl66_179 ),
inference(avatar_split_clause,[],[f16834,f1535,f1446,f1412,f653,f658,f638,f883]) ).
fof(f16834,plain,
( e1 = e2
| e1 = e3
| e0 = e1
| e1 = op(e1,e2)
| ~ spl66_162
| ~ spl66_170
| ~ spl66_179 ),
inference(forward_demodulation,[],[f14833,f1447]) ).
fof(f14833,plain,
( e1 = e3
| e0 = e1
| e1 = op(e1,e2)
| e1 = op(e1,e0)
| ~ spl66_162
| ~ spl66_179 ),
inference(forward_demodulation,[],[f10478,f1413]) ).
fof(f10478,plain,
( e0 = e1
| e1 = op(e1,e2)
| e1 = op(e1,e1)
| e1 = op(e1,e0)
| ~ spl66_179 ),
inference(forward_demodulation,[],[f527,f1537]) ).
fof(f16945,plain,
( ~ spl66_159
| ~ spl66_179
| ~ spl66_182 ),
inference(avatar_split_clause,[],[f16827,f1599,f1535,f1399]) ).
fof(f16827,plain,
( e1 != op(e3,e3)
| ~ spl66_179
| ~ spl66_182 ),
inference(trivial_inequality_removal,[],[f16826]) ).
fof(f16826,plain,
( e2 != e2
| e1 != op(e3,e3)
| ~ spl66_179
| ~ spl66_182 ),
inference(forward_demodulation,[],[f16585,f1601]) ).
fof(f16585,plain,
( e2 != op(e0,e1)
| e1 != op(e3,e3)
| ~ spl66_179 ),
inference(trivial_inequality_removal,[],[f4715]) ).
fof(f4715,plain,
( e0 != e0
| e2 != op(e0,e1)
| e1 != op(e3,e3)
| ~ spl66_179 ),
inference(forward_demodulation,[],[f612,f1537]) ).
fof(f612,plain,
( e0 != op(e1,e3)
| e2 != op(e0,e1)
| e1 != op(e3,e3) ),
inference(inner_rewriting,[],[f611]) ).
fof(f611,plain,
( e0 != op(op(e3,e3),e3)
| e2 != op(e0,op(e3,e3))
| e1 != op(e3,e3) ),
inference(inner_rewriting,[],[f576]) ).
fof(f576,plain,
( e0 != op(op(e3,e3),e3)
| e2 != op(op(op(e3,e3),e3),op(e3,e3))
| e1 != op(e3,e3) ),
inference(cnf_transformation,[],[f41]) ).
fof(f41,plain,
( e0 != op(op(e3,e3),e3)
| e2 != op(op(op(e3,e3),e3),op(e3,e3))
| e1 != op(e3,e3) ),
inference(ennf_transformation,[],[f17]) ).
fof(f17,axiom,
~ ( e0 = op(op(e3,e3),e3)
& e2 = op(op(op(e3,e3),e3),op(e3,e3))
& e1 = op(e3,e3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax17) ).
fof(f16933,plain,
( spl66_145
| ~ spl66_142
| ~ spl66_155 ),
inference(avatar_split_clause,[],[f10498,f1381,f1324,f1338]) ).
fof(f1338,plain,
( spl66_145
<=> e2 = op(e3,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl66_145])]) ).
fof(f10498,plain,
( e2 = op(e3,e0)
| ~ spl66_142
| ~ spl66_155 ),
inference(forward_demodulation,[],[f1325,f1382]) ).
fof(f16868,plain,
( spl66_5
| ~ spl66_8
| ~ spl66_17
| ~ spl66_141 ),
inference(avatar_split_clause,[],[f16867,f1319,f715,f672,f658]) ).
fof(f16867,plain,
( e1 = e3
| ~ spl66_8
| ~ spl66_17
| ~ spl66_141 ),
inference(forward_demodulation,[],[f674,f16801]) ).
fof(f16801,plain,
( e1 = op(e3,e3)
| ~ spl66_17
| ~ spl66_141 ),
inference(superposition,[],[f1320,f717]) ).
fof(f16802,plain,
( spl66_172
| spl66_4
| spl66_1
| spl66_5
| ~ spl66_32
| ~ spl66_149
| ~ spl66_166 ),
inference(avatar_split_clause,[],[f16680,f1429,f1355,f787,f658,f638,f653,f1455]) ).
fof(f16680,plain,
( e1 = e3
| e0 = e1
| e1 = e2
| e1 = op(e3,e2)
| ~ spl66_32
| ~ spl66_149
| ~ spl66_166 ),
inference(forward_demodulation,[],[f16101,f1356]) ).
fof(f16101,plain,
( e0 = e1
| e1 = e2
| e1 = op(e3,e2)
| e1 = op(e0,e2)
| ~ spl66_32
| ~ spl66_166 ),
inference(forward_demodulation,[],[f15595,f1430]) ).
fof(f15595,plain,
( e1 = e2
| e1 = op(e3,e2)
| e1 = op(e1,e2)
| e1 = op(e0,e2)
| ~ spl66_32 ),
inference(forward_demodulation,[],[f536,f789]) ).
fof(f16792,plain,
( spl66_17
| ~ spl66_143
| ~ spl66_159 ),
inference(avatar_split_clause,[],[f16552,f1399,f1329,f715]) ).
fof(f16552,plain,
( e3 = op(e3,e1)
| ~ spl66_143
| ~ spl66_159 ),
inference(forward_demodulation,[],[f1330,f1400]) ).
fof(f16764,plain,
( ~ spl66_138
| ~ spl66_177 ),
inference(avatar_split_clause,[],[f14532,f1503,f1305]) ).
fof(f14532,plain,
( ~ sP0
| ~ spl66_177 ),
inference(trivial_inequality_removal,[],[f9183]) ).
fof(f9183,plain,
( e1 != e1
| ~ sP0
| ~ spl66_177 ),
inference(forward_demodulation,[],[f6371,f1505]) ).
fof(f6371,plain,
( e1 != op(e0,e1)
| ~ sP0
| ~ spl66_177 ),
inference(forward_demodulation,[],[f502,f1505]) ).
fof(f16741,plain,
( spl66_163
| spl66_2
| spl66_3
| ~ spl66_32
| ~ spl66_169
| ~ spl66_173 ),
inference(avatar_split_clause,[],[f16653,f1459,f1442,f787,f648,f643,f1416]) ).
fof(f16653,plain,
( e0 = e3
| e0 = e2
| e0 = op(e2,e3)
| ~ spl66_32
| ~ spl66_169
| ~ spl66_173 ),
inference(duplicate_literal_removal,[],[f16652]) ).
fof(f16652,plain,
( e0 = e3
| e0 = e2
| e0 = e3
| e0 = op(e2,e3)
| ~ spl66_32
| ~ spl66_169
| ~ spl66_173 ),
inference(forward_demodulation,[],[f11768,f1460]) ).
fof(f11768,plain,
( e0 = e2
| e0 = e3
| e0 = op(e2,e3)
| e0 = op(e2,e0)
| ~ spl66_32
| ~ spl66_169 ),
inference(forward_demodulation,[],[f11327,f789]) ).
fof(f11327,plain,
( e0 = e3
| e0 = op(e2,e3)
| e0 = op(e2,e2)
| e0 = op(e2,e0)
| ~ spl66_169 ),
inference(forward_demodulation,[],[f533,f1443]) ).
fof(f533,plain,
( e0 = op(e2,e3)
| e0 = op(e2,e2)
| e0 = op(e2,e1)
| e0 = op(e2,e0) ),
inference(cnf_transformation,[],[f2]) ).
fof(f16679,plain,
( spl66_3
| ~ spl66_143
| ~ spl66_150
| ~ spl66_176 ),
inference(avatar_split_clause,[],[f16662,f1491,f1360,f1329,f648]) ).
fof(f16662,plain,
( e0 = e3
| ~ spl66_143
| ~ spl66_150
| ~ spl66_176 ),
inference(forward_demodulation,[],[f16090,f1493]) ).
fof(f16630,plain,
( spl66_178
| spl66_172
| spl66_5
| spl66_4
| ~ spl66_32
| ~ spl66_158 ),
inference(avatar_split_clause,[],[f3650,f1394,f787,f653,f658,f1455,f1507]) ).
fof(f3650,plain,
( e1 = e2
| e1 = e3
| e1 = op(e3,e2)
| e1 = op(e0,e2)
| ~ spl66_32
| ~ spl66_158 ),
inference(forward_demodulation,[],[f2920,f789]) ).
fof(f2920,plain,
( e1 = e3
| e1 = op(e3,e2)
| e1 = op(e2,e2)
| e1 = op(e0,e2)
| ~ spl66_158 ),
inference(forward_demodulation,[],[f536,f1395]) ).
fof(f16627,plain,
( ~ spl66_67
| spl66_104
| ~ spl66_179 ),
inference(avatar_split_clause,[],[f12480,f1535,f1137,f955]) ).
fof(f1137,plain,
( spl66_104
<=> op(e0,e3) = op(e1,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl66_104])]) ).
fof(f12480,plain,
( e0 != op(e0,e3)
| spl66_104
| ~ spl66_179 ),
inference(superposition,[],[f1139,f1537]) ).
fof(f1139,plain,
( op(e0,e3) != op(e1,e3)
| spl66_104 ),
inference(avatar_component_clause,[],[f1137]) ).
fof(f16583,plain,
( spl66_158
| spl66_6
| spl66_5
| ~ spl66_32
| ~ spl66_178
| ~ spl66_191 ),
inference(avatar_split_clause,[],[f16564,f4451,f1507,f787,f658,f663,f1394]) ).
fof(f16564,plain,
( e1 = e3
| e2 = e3
| e3 = op(e1,e2)
| ~ spl66_32
| ~ spl66_178
| ~ spl66_191 ),
inference(forward_demodulation,[],[f15930,f1509]) ).
fof(f15930,plain,
( e2 = e3
| e3 = op(e1,e2)
| e3 = op(e0,e2)
| ~ spl66_32
| ~ spl66_191 ),
inference(duplicate_literal_removal,[],[f15329]) ).
fof(f15329,plain,
( e2 = e3
| e2 = e3
| e3 = op(e1,e2)
| e3 = op(e0,e2)
| ~ spl66_32
| ~ spl66_191 ),
inference(forward_demodulation,[],[f15328,f789]) ).
fof(f15328,plain,
( e2 = e3
| e3 = op(e2,e2)
| e3 = op(e1,e2)
| e3 = op(e0,e2)
| ~ spl66_191 ),
inference(forward_demodulation,[],[f540,f4453]) ).
fof(f16581,plain,
( ~ spl66_191
| spl66_142
| ~ spl66_191 ),
inference(avatar_split_clause,[],[f4461,f4451,f1324,f4451]) ).
fof(f4461,plain,
( e2 != op(e3,e2)
| spl66_142
| ~ spl66_191 ),
inference(superposition,[],[f1326,f4453]) ).
fof(f1326,plain,
( e2 != op(e3,op(e3,e2))
| spl66_142 ),
inference(avatar_component_clause,[],[f1324]) ).
fof(f16562,plain,
( ~ spl66_159
| ~ spl66_17
| spl66_141 ),
inference(avatar_split_clause,[],[f16548,f1319,f715,f1399]) ).
fof(f16548,plain,
( e1 != op(e3,e3)
| ~ spl66_17
| spl66_141 ),
inference(forward_demodulation,[],[f1321,f717]) ).
fof(f16549,plain,
( spl66_159
| spl66_5
| spl66_4
| spl66_1
| ~ spl66_27
| ~ spl66_67
| ~ spl66_180 ),
inference(avatar_split_clause,[],[f16541,f1564,f955,f763,f638,f653,f658,f1399]) ).
fof(f16541,plain,
( e0 = e1
| e1 = e2
| e1 = e3
| e1 = op(e3,e3)
| ~ spl66_27
| ~ spl66_67
| ~ spl66_180 ),
inference(forward_demodulation,[],[f16540,f957]) ).
fof(f16540,plain,
( e1 = e2
| e1 = e3
| e1 = op(e3,e3)
| e1 = op(e0,e3)
| ~ spl66_27
| ~ spl66_180 ),
inference(forward_demodulation,[],[f15564,f765]) ).
fof(f15564,plain,
( e1 = e3
| e1 = op(e3,e3)
| e1 = op(e2,e3)
| e1 = op(e0,e3)
| ~ spl66_180 ),
inference(forward_demodulation,[],[f544,f1566]) ).
fof(f16533,plain,
( spl66_191
| spl66_6
| spl66_4
| spl66_2
| ~ spl66_17
| ~ spl66_141
| ~ spl66_176 ),
inference(avatar_split_clause,[],[f16523,f1491,f1319,f715,f643,f653,f663,f4451]) ).
fof(f16523,plain,
( e0 = e2
| e1 = e2
| e2 = e3
| e2 = op(e3,e2)
| ~ spl66_17
| ~ spl66_141
| ~ spl66_176 ),
inference(forward_demodulation,[],[f16522,f1493]) ).
fof(f16522,plain,
( e1 = e2
| e2 = e3
| e2 = op(e3,e2)
| e2 = op(e3,e0)
| ~ spl66_17
| ~ spl66_141 ),
inference(forward_demodulation,[],[f3750,f11029]) ).
fof(f11029,plain,
( e1 = op(e3,e3)
| ~ spl66_17
| ~ spl66_141 ),
inference(superposition,[],[f1320,f717]) ).
fof(f3750,plain,
( e2 = e3
| e2 = op(e3,e3)
| e2 = op(e3,e2)
| e2 = op(e3,e0)
| ~ spl66_17 ),
inference(forward_demodulation,[],[f545,f717]) ).
fof(f16528,plain,
( spl66_190
| spl66_4
| spl66_5
| spl66_1
| ~ spl66_32
| ~ spl66_135
| ~ spl66_173 ),
inference(avatar_split_clause,[],[f16424,f1459,f1291,f787,f638,f658,f653,f3071]) ).
fof(f16424,plain,
( e0 = e1
| e1 = e3
| e1 = e2
| e1 = op(e2,e1)
| ~ spl66_32
| ~ spl66_135
| ~ spl66_173 ),
inference(forward_demodulation,[],[f11098,f14810]) ).
fof(f14810,plain,
( e0 = op(e2,e3)
| ~ spl66_135
| ~ spl66_173 ),
inference(superposition,[],[f1292,f1460]) ).
fof(f11098,plain,
( e1 = e3
| e1 = e2
| e1 = op(e2,e3)
| e1 = op(e2,e1)
| ~ spl66_32
| ~ spl66_173 ),
inference(forward_demodulation,[],[f1959,f1460]) ).
fof(f1959,plain,
( e1 = e2
| e1 = op(e2,e3)
| e1 = op(e2,e1)
| e1 = op(e2,e0)
| ~ spl66_32 ),
inference(forward_demodulation,[],[f535,f789]) ).
fof(f16520,plain,
( spl66_165
| spl66_6
| spl66_2
| ~ spl66_17
| ~ spl66_155
| ~ spl66_176 ),
inference(avatar_split_clause,[],[f16460,f1491,f1381,f715,f643,f663,f1425]) ).
fof(f16460,plain,
( e0 = e2
| e2 = e3
| e2 = op(e3,e3)
| ~ spl66_17
| ~ spl66_155
| ~ spl66_176 ),
inference(duplicate_literal_removal,[],[f16459]) ).
fof(f16459,plain,
( e0 = e2
| e0 = e2
| e2 = e3
| e2 = op(e3,e3)
| ~ spl66_17
| ~ spl66_155
| ~ spl66_176 ),
inference(forward_demodulation,[],[f16458,f1493]) ).
fof(f16458,plain,
( e0 = e2
| e2 = e3
| e2 = op(e3,e3)
| e2 = op(e3,e0)
| ~ spl66_17
| ~ spl66_155 ),
inference(forward_demodulation,[],[f3750,f1382]) ).
fof(f16499,plain,
( spl66_8
| spl66_6
| spl66_3
| ~ spl66_27
| ~ spl66_67
| ~ spl66_179 ),
inference(avatar_split_clause,[],[f16430,f1535,f955,f763,f648,f663,f672]) ).
fof(f16430,plain,
( e0 = e3
| e2 = e3
| e3 = op(e3,e3)
| ~ spl66_27
| ~ spl66_67
| ~ spl66_179 ),
inference(duplicate_literal_removal,[],[f16429]) ).
fof(f16429,plain,
( e0 = e3
| e2 = e3
| e0 = e3
| e3 = op(e3,e3)
| ~ spl66_27
| ~ spl66_67
| ~ spl66_179 ),
inference(forward_demodulation,[],[f16285,f1537]) ).
fof(f16285,plain,
( e2 = e3
| e0 = e3
| e3 = op(e3,e3)
| e3 = op(e1,e3)
| ~ spl66_27
| ~ spl66_67 ),
inference(forward_demodulation,[],[f14893,f765]) ).
fof(f14893,plain,
( e0 = e3
| e3 = op(e3,e3)
| e3 = op(e2,e3)
| e3 = op(e1,e3)
| ~ spl66_67 ),
inference(forward_demodulation,[],[f548,f957]) ).
fof(f16455,plain,
( spl66_5
| ~ spl66_62
| ~ spl66_179
| ~ spl66_195 ),
inference(avatar_split_clause,[],[f12486,f9319,f1535,f931,f658]) ).
fof(f12486,plain,
( e1 = e3
| ~ spl66_62
| ~ spl66_179
| ~ spl66_195 ),
inference(forward_demodulation,[],[f12485,f933]) ).
fof(f12485,plain,
( e3 = op(e1,e0)
| ~ spl66_179
| ~ spl66_195 ),
inference(superposition,[],[f9320,f1537]) ).
fof(f16399,plain,
( spl66_150
| spl66_2
| ~ spl66_27
| ~ spl66_152
| ~ spl66_161 ),
inference(avatar_split_clause,[],[f16382,f1407,f1368,f763,f643,f1360]) ).
fof(f16382,plain,
( e0 = e2
| e0 = op(e3,e3)
| ~ spl66_27
| ~ spl66_152
| ~ spl66_161 ),
inference(duplicate_literal_removal,[],[f16381]) ).
fof(f16381,plain,
( e0 = e2
| e0 = e2
| e0 = op(e3,e3)
| ~ spl66_27
| ~ spl66_152
| ~ spl66_161 ),
inference(forward_demodulation,[],[f14156,f765]) ).
fof(f14156,plain,
( e0 = e2
| e0 = op(e3,e3)
| e0 = op(e2,e3)
| ~ spl66_152
| ~ spl66_161 ),
inference(duplicate_literal_removal,[],[f9337]) ).
fof(f16392,plain,
( spl66_5
| spl66_6
| ~ spl66_27
| ~ spl66_152
| ~ spl66_159
| ~ spl66_161 ),
inference(avatar_split_clause,[],[f16380,f1407,f1399,f1368,f763,f663,f658]) ).
fof(f16380,plain,
( e2 = e3
| e1 = e3
| ~ spl66_27
| ~ spl66_152
| ~ spl66_159
| ~ spl66_161 ),
inference(duplicate_literal_removal,[],[f16379]) ).
fof(f16379,plain,
( e2 = e3
| e2 = e3
| e1 = e3
| ~ spl66_27
| ~ spl66_152
| ~ spl66_159
| ~ spl66_161 ),
inference(forward_demodulation,[],[f16378,f1408]) ).
fof(f16378,plain,
( e2 = e3
| e1 = e3
| e3 = op(e1,e3)
| ~ spl66_27
| ~ spl66_152
| ~ spl66_159 ),
inference(duplicate_literal_removal,[],[f16377]) ).
fof(f16377,plain,
( e2 = e3
| e1 = e3
| e2 = e3
| e3 = op(e1,e3)
| ~ spl66_27
| ~ spl66_152
| ~ spl66_159 ),
inference(forward_demodulation,[],[f16376,f765]) ).
fof(f16376,plain,
( e1 = e3
| e2 = e3
| e3 = op(e2,e3)
| e3 = op(e1,e3)
| ~ spl66_152
| ~ spl66_159 ),
inference(forward_demodulation,[],[f14245,f1400]) ).
fof(f14245,plain,
( e2 = e3
| e3 = op(e3,e3)
| e3 = op(e2,e3)
| e3 = op(e1,e3)
| ~ spl66_152 ),
inference(forward_demodulation,[],[f548,f1369]) ).
fof(f16360,plain,
( spl66_5
| spl66_6
| spl66_3
| ~ spl66_27
| ~ spl66_67
| ~ spl66_159
| ~ spl66_161 ),
inference(avatar_split_clause,[],[f16345,f1407,f1399,f955,f763,f648,f663,f658]) ).
fof(f16345,plain,
( e0 = e3
| e2 = e3
| e1 = e3
| ~ spl66_27
| ~ spl66_67
| ~ spl66_159
| ~ spl66_161 ),
inference(forward_demodulation,[],[f16344,f957]) ).
fof(f16344,plain,
( e2 = e3
| e1 = e3
| e3 = op(e0,e3)
| ~ spl66_27
| ~ spl66_159
| ~ spl66_161 ),
inference(duplicate_literal_removal,[],[f16343]) ).
fof(f16343,plain,
( e2 = e3
| e1 = e3
| e2 = e3
| e3 = op(e0,e3)
| ~ spl66_27
| ~ spl66_159
| ~ spl66_161 ),
inference(forward_demodulation,[],[f2504,f1408]) ).
fof(f2504,plain,
( e1 = e3
| e2 = e3
| e3 = op(e1,e3)
| e3 = op(e0,e3)
| ~ spl66_27
| ~ spl66_159 ),
inference(forward_demodulation,[],[f1572,f1400]) ).
fof(f1572,plain,
( e2 = e3
| e3 = op(e3,e3)
| e3 = op(e1,e3)
| e3 = op(e0,e3)
| ~ spl66_27 ),
inference(forward_demodulation,[],[f548,f765]) ).
fof(f16341,plain,
( spl66_159
| spl66_1
| spl66_4
| ~ spl66_27
| ~ spl66_67
| ~ spl66_161 ),
inference(avatar_split_clause,[],[f16281,f1407,f955,f763,f653,f638,f1399]) ).
fof(f16281,plain,
( e1 = e2
| e0 = e1
| e1 = op(e3,e3)
| ~ spl66_27
| ~ spl66_67
| ~ spl66_161 ),
inference(duplicate_literal_removal,[],[f16280]) ).
fof(f16280,plain,
( e1 = e2
| e0 = e1
| e1 = e2
| e1 = op(e3,e3)
| ~ spl66_27
| ~ spl66_67
| ~ spl66_161 ),
inference(forward_demodulation,[],[f14594,f765]) ).
fof(f14594,plain,
( e0 = e1
| e1 = e2
| e1 = op(e3,e3)
| e1 = op(e2,e3)
| ~ spl66_67
| ~ spl66_161 ),
inference(forward_demodulation,[],[f9339,f957]) ).
fof(f9339,plain,
( e1 = e2
| e1 = op(e3,e3)
| e1 = op(e2,e3)
| e1 = op(e0,e3)
| ~ spl66_161 ),
inference(forward_demodulation,[],[f544,f1408]) ).
fof(f16334,plain,
( spl66_37
| spl66_4
| spl66_6
| ~ spl66_57
| ~ spl66_146
| ~ spl66_184 ),
inference(avatar_split_clause,[],[f16228,f1666,f1342,f907,f663,f653,f811]) ).
fof(f16228,plain,
( e2 = e3
| e1 = e2
| e2 = op(e2,e1)
| ~ spl66_57
| ~ spl66_146
| ~ spl66_184 ),
inference(forward_demodulation,[],[f10741,f1343]) ).
fof(f10741,plain,
( e1 = e2
| e2 = op(e2,e1)
| e2 = op(e0,e1)
| ~ spl66_57
| ~ spl66_184 ),
inference(duplicate_literal_removal,[],[f5884]) ).
fof(f5884,plain,
( e1 = e2
| e1 = e2
| e2 = op(e2,e1)
| e2 = op(e0,e1)
| ~ spl66_57
| ~ spl66_184 ),
inference(forward_demodulation,[],[f5883,f909]) ).
fof(f5883,plain,
( e1 = e2
| e2 = op(e2,e1)
| e2 = op(e1,e1)
| e2 = op(e0,e1)
| ~ spl66_184 ),
inference(forward_demodulation,[],[f530,f1668]) ).
fof(f16321,plain,
( spl66_158
| ~ spl66_161
| ~ spl66_195 ),
inference(avatar_split_clause,[],[f11886,f9319,f1407,f1394]) ).
fof(f11886,plain,
( e3 = op(e1,e2)
| ~ spl66_161
| ~ spl66_195 ),
inference(superposition,[],[f9320,f1408]) ).
fof(f16279,plain,
( spl66_150
| ~ spl66_22
| ~ spl66_140 ),
inference(avatar_split_clause,[],[f16091,f1314,f739,f1360]) ).
fof(f16091,plain,
( e0 = op(e3,e3)
| ~ spl66_22
| ~ spl66_140 ),
inference(forward_demodulation,[],[f1315,f741]) ).
fof(f16162,plain,
( spl66_47
| spl66_4
| spl66_1
| ~ spl66_166
| ~ spl66_174
| ~ spl66_188 ),
inference(avatar_split_clause,[],[f16100,f1796,f1483,f1429,f638,f653,f859]) ).
fof(f16100,plain,
( e0 = e1
| e1 = e2
| e1 = op(e1,e3)
| ~ spl66_166
| ~ spl66_174
| ~ spl66_188 ),
inference(duplicate_literal_removal,[],[f16099]) ).
fof(f16099,plain,
( e0 = e1
| e1 = e2
| e0 = e1
| e1 = op(e1,e3)
| ~ spl66_166
| ~ spl66_174
| ~ spl66_188 ),
inference(forward_demodulation,[],[f16062,f1485]) ).
fof(f16062,plain,
( e1 = e2
| e0 = e1
| e1 = op(e1,e3)
| e1 = op(e1,e0)
| ~ spl66_166
| ~ spl66_188 ),
inference(forward_demodulation,[],[f11487,f1798]) ).
fof(f11487,plain,
( e0 = e1
| e1 = op(e1,e3)
| e1 = op(e1,e1)
| e1 = op(e1,e0)
| ~ spl66_166 ),
inference(forward_demodulation,[],[f527,f1430]) ).
fof(f16160,plain,
( ~ spl66_178
| spl66_115
| ~ spl66_154 ),
inference(avatar_split_clause,[],[f1529,f1377,f1192,f1507]) ).
fof(f1192,plain,
( spl66_115
<=> op(e0,e2) = op(e0,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl66_115])]) ).
fof(f1529,plain,
( e1 != op(e0,e2)
| spl66_115
| ~ spl66_154 ),
inference(superposition,[],[f1194,f1378]) ).
fof(f1194,plain,
( op(e0,e2) != op(e0,e3)
| spl66_115 ),
inference(avatar_component_clause,[],[f1192]) ).
fof(f16093,plain,
( spl66_3
| ~ spl66_77
| ~ spl66_149
| ~ spl66_164
| ~ spl66_184 ),
inference(avatar_split_clause,[],[f16089,f1666,f1420,f1355,f1003,f648]) ).
fof(f16089,plain,
( e0 = e3
| ~ spl66_77
| ~ spl66_149
| ~ spl66_164
| ~ spl66_184 ),
inference(forward_demodulation,[],[f16088,f1005]) ).
fof(f16088,plain,
( e3 = op(e0,e1)
| ~ spl66_149
| ~ spl66_164
| ~ spl66_184 ),
inference(forward_demodulation,[],[f1356,f15921]) ).
fof(f15929,plain,
( spl66_155
| spl66_2
| spl66_3
| spl66_1
| ~ spl66_32
| ~ spl66_158
| ~ spl66_178 ),
inference(avatar_split_clause,[],[f8557,f1507,f1394,f787,f638,f648,f643,f1381]) ).
fof(f8557,plain,
( e0 = e1
| e0 = e3
| e0 = e2
| e0 = op(e3,e2)
| ~ spl66_32
| ~ spl66_158
| ~ spl66_178 ),
inference(forward_demodulation,[],[f7072,f1509]) ).
fof(f7072,plain,
( e0 = e3
| e0 = e2
| e0 = op(e3,e2)
| e0 = op(e0,e2)
| ~ spl66_32
| ~ spl66_158 ),
inference(forward_demodulation,[],[f1951,f1395]) ).
fof(f1951,plain,
( e0 = e2
| e0 = op(e3,e2)
| e0 = op(e1,e2)
| e0 = op(e0,e2)
| ~ spl66_32 ),
inference(forward_demodulation,[],[f534,f789]) ).
fof(f15915,plain,
( spl66_184
| spl66_5
| spl66_4
| spl66_1
| ~ spl66_77
| ~ spl66_169
| ~ spl66_188 ),
inference(avatar_split_clause,[],[f15867,f1796,f1442,f1003,f638,f653,f658,f1666]) ).
fof(f15867,plain,
( e0 = e1
| e1 = e2
| e1 = e3
| e1 = op(e3,e1)
| ~ spl66_77
| ~ spl66_169
| ~ spl66_188 ),
inference(forward_demodulation,[],[f15866,f1005]) ).
fof(f15866,plain,
( e1 = e2
| e1 = e3
| e1 = op(e3,e1)
| e1 = op(e0,e1)
| ~ spl66_169
| ~ spl66_188 ),
inference(forward_demodulation,[],[f3088,f1798]) ).
fof(f15907,plain,
( ~ spl66_170
| spl66_116
| ~ spl66_188 ),
inference(avatar_split_clause,[],[f11591,f1796,f1197,f1446]) ).
fof(f1197,plain,
( spl66_116
<=> op(e1,e0) = op(e1,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl66_116])]) ).
fof(f11591,plain,
( e2 != op(e1,e0)
| spl66_116
| ~ spl66_188 ),
inference(superposition,[],[f1199,f1798]) ).
fof(f1199,plain,
( op(e1,e0) != op(e1,e1)
| spl66_116 ),
inference(avatar_component_clause,[],[f1197]) ).
fof(f15872,plain,
( ~ spl66_165
| ~ spl66_163
| ~ spl66_178 ),
inference(avatar_split_clause,[],[f15799,f1507,f1416,f1425]) ).
fof(f15799,plain,
( e2 != op(e3,e3)
| ~ spl66_163
| ~ spl66_178 ),
inference(trivial_inequality_removal,[],[f15798]) ).
fof(f15798,plain,
( e1 != e1
| e2 != op(e3,e3)
| ~ spl66_163
| ~ spl66_178 ),
inference(forward_demodulation,[],[f13704,f1509]) ).
fof(f13704,plain,
( e1 != op(e0,e2)
| e2 != op(e3,e3)
| ~ spl66_163 ),
inference(trivial_inequality_removal,[],[f4649]) ).
fof(f4649,plain,
( e0 != e0
| e1 != op(e0,e2)
| e2 != op(e3,e3)
| ~ spl66_163 ),
inference(forward_demodulation,[],[f624,f1417]) ).
fof(f624,plain,
( e0 != op(e2,e3)
| e1 != op(e0,e2)
| e2 != op(e3,e3) ),
inference(inner_rewriting,[],[f623]) ).
fof(f623,plain,
( e0 != op(op(e3,e3),e3)
| e1 != op(e0,op(e3,e3))
| e2 != op(e3,e3) ),
inference(inner_rewriting,[],[f582]) ).
fof(f582,plain,
( e0 != op(op(e3,e3),e3)
| e1 != op(op(op(e3,e3),e3),op(e3,e3))
| e2 != op(e3,e3) ),
inference(cnf_transformation,[],[f47]) ).
fof(f47,plain,
( e0 != op(op(e3,e3),e3)
| e1 != op(op(op(e3,e3),e3),op(e3,e3))
| e2 != op(e3,e3) ),
inference(ennf_transformation,[],[f23]) ).
fof(f23,axiom,
~ ( e0 = op(op(e3,e3),e3)
& e1 = op(op(op(e3,e3),e3),op(e3,e3))
& e2 = op(e3,e3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax23) ).
fof(f15865,plain,
( ~ spl66_47
| ~ spl66_47
| ~ spl66_195
| spl66_197 ),
inference(avatar_split_clause,[],[f15785,f11032,f9319,f859,f859]) ).
fof(f15785,plain,
( e1 != op(e1,e3)
| ~ spl66_47
| ~ spl66_195
| spl66_197 ),
inference(forward_demodulation,[],[f11034,f15659]) ).
fof(f15770,plain,
( ~ spl66_152
| ~ spl66_149
| spl66_198 ),
inference(avatar_split_clause,[],[f14966,f11889,f1355,f1368]) ).
fof(f14966,plain,
( e2 != op(e0,e3)
| ~ spl66_149
| spl66_198 ),
inference(superposition,[],[f11891,f1356]) ).
fof(f15768,plain,
( ~ spl66_37
| ~ spl66_32
| spl66_125 ),
inference(avatar_split_clause,[],[f14953,f1242,f787,f811]) ).
fof(f1242,plain,
( spl66_125
<=> op(e2,e1) = op(e2,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl66_125])]) ).
fof(f14953,plain,
( e2 != op(e2,e1)
| ~ spl66_32
| spl66_125 ),
inference(superposition,[],[f1244,f789]) ).
fof(f1244,plain,
( op(e2,e1) != op(e2,e2)
| spl66_125 ),
inference(avatar_component_clause,[],[f1242]) ).
fof(f15766,plain,
( ~ spl66_42
| ~ spl66_32
| spl66_123 ),
inference(avatar_split_clause,[],[f14952,f1232,f787,f835]) ).
fof(f1232,plain,
( spl66_123
<=> op(e2,e0) = op(e2,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl66_123])]) ).
fof(f14952,plain,
( e2 != op(e2,e0)
| ~ spl66_32
| spl66_123 ),
inference(superposition,[],[f1234,f789]) ).
fof(f1234,plain,
( op(e2,e0) != op(e2,e2)
| spl66_123 ),
inference(avatar_component_clause,[],[f1232]) ).
fof(f15764,plain,
( ~ spl66_189
| ~ spl66_32
| spl66_101 ),
inference(avatar_split_clause,[],[f14951,f1122,f787,f1800]) ).
fof(f1122,plain,
( spl66_101
<=> op(e1,e2) = op(e2,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl66_101])]) ).
fof(f14951,plain,
( e2 != op(e1,e2)
| ~ spl66_32
| spl66_101 ),
inference(superposition,[],[f1124,f789]) ).
fof(f1124,plain,
( op(e1,e2) != op(e2,e2)
| spl66_101 ),
inference(avatar_component_clause,[],[f1122]) ).
fof(f15762,plain,
( ~ spl66_183
| ~ spl66_32
| spl66_99 ),
inference(avatar_split_clause,[],[f14950,f1112,f787,f1603]) ).
fof(f1112,plain,
( spl66_99
<=> op(e0,e2) = op(e2,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl66_99])]) ).
fof(f14950,plain,
( e2 != op(e0,e2)
| ~ spl66_32
| spl66_99 ),
inference(superposition,[],[f1114,f789]) ).
fof(f1114,plain,
( op(e0,e2) != op(e2,e2)
| spl66_99 ),
inference(avatar_component_clause,[],[f1112]) ).
fof(f15760,plain,
( ~ spl66_180
| spl66_107
| ~ spl66_181 ),
inference(avatar_split_clause,[],[f14663,f1568,f1152,f1564]) ).
fof(f1152,plain,
( spl66_107
<=> op(e1,e3) = op(e2,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl66_107])]) ).
fof(f1568,plain,
( spl66_181
<=> e3 = op(e2,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl66_181])]) ).
fof(f14663,plain,
( e3 != op(e1,e3)
| spl66_107
| ~ spl66_181 ),
inference(superposition,[],[f1154,f1570]) ).
fof(f1570,plain,
( e3 = op(e2,e3)
| ~ spl66_181 ),
inference(avatar_component_clause,[],[f1568]) ).
fof(f1154,plain,
( op(e1,e3) != op(e2,e3)
| spl66_107 ),
inference(avatar_component_clause,[],[f1152]) ).
fof(f15758,plain,
( ~ spl66_47
| ~ spl66_162
| spl66_197 ),
inference(avatar_split_clause,[],[f14482,f11032,f1412,f859]) ).
fof(f14482,plain,
( e1 != op(e1,e3)
| ~ spl66_162
| spl66_197 ),
inference(superposition,[],[f11034,f1413]) ).
fof(f15756,plain,
( ~ spl66_150
| ~ spl66_22
| spl66_140 ),
inference(avatar_split_clause,[],[f14443,f1314,f739,f1360]) ).
fof(f14443,plain,
( e0 != op(e3,e3)
| ~ spl66_22
| spl66_140 ),
inference(superposition,[],[f1316,f741]) ).
fof(f15754,plain,
( ~ spl66_173
| ~ spl66_22
| spl66_91 ),
inference(avatar_split_clause,[],[f14442,f1072,f739,f1459]) ).
fof(f1072,plain,
( spl66_91
<=> op(e2,e0) = op(e3,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl66_91])]) ).
fof(f14442,plain,
( e3 != op(e2,e0)
| ~ spl66_22
| spl66_91 ),
inference(superposition,[],[f1074,f741]) ).
fof(f1074,plain,
( op(e2,e0) != op(e3,e0)
| spl66_91 ),
inference(avatar_component_clause,[],[f1072]) ).
fof(f15752,plain,
( ~ spl66_185
| ~ spl66_22
| spl66_88 ),
inference(avatar_split_clause,[],[f13968,f1057,f739,f1770]) ).
fof(f1057,plain,
( spl66_88
<=> op(e0,e0) = op(e3,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl66_88])]) ).
fof(f13968,plain,
( op(e0,e0) != e3
| ~ spl66_22
| spl66_88 ),
inference(superposition,[],[f1059,f741]) ).
fof(f1059,plain,
( op(e0,e0) != op(e3,e0)
| spl66_88 ),
inference(avatar_component_clause,[],[f1057]) ).
fof(f15750,plain,
( ~ spl66_181
| ~ spl66_181
| spl66_194 ),
inference(avatar_split_clause,[],[f13680,f9000,f1568,f1568]) ).
fof(f13680,plain,
( e3 != op(e2,e3)
| ~ spl66_181
| spl66_194 ),
inference(superposition,[],[f9002,f1570]) ).
fof(f15748,plain,
( ~ spl66_166
| spl66_137
| ~ spl66_170 ),
inference(avatar_split_clause,[],[f15435,f1446,f1300,f1429]) ).
fof(f15435,plain,
( e0 != op(e1,e2)
| spl66_137
| ~ spl66_170 ),
inference(forward_demodulation,[],[f1302,f1447]) ).
fof(f15741,plain,
( spl66_166
| spl66_155
| spl66_2
| spl66_3
| ~ spl66_32
| ~ spl66_149 ),
inference(avatar_split_clause,[],[f14921,f1355,f787,f648,f643,f1381,f1429]) ).
fof(f14921,plain,
( e0 = e3
| e0 = e2
| e0 = op(e3,e2)
| e0 = op(e1,e2)
| ~ spl66_32
| ~ spl66_149 ),
inference(forward_demodulation,[],[f12883,f1356]) ).
fof(f12883,plain,
( e0 = e2
| e0 = op(e3,e2)
| e0 = op(e1,e2)
| e0 = op(e0,e2)
| ~ spl66_32 ),
inference(forward_demodulation,[],[f534,f789]) ).
fof(f15731,plain,
( spl66_190
| spl66_184
| spl66_5
| spl66_1
| ~ spl66_77
| ~ spl66_162 ),
inference(avatar_split_clause,[],[f4154,f1412,f1003,f638,f658,f1666,f3071]) ).
fof(f4154,plain,
( e0 = e1
| e1 = e3
| e1 = op(e3,e1)
| e1 = op(e2,e1)
| ~ spl66_77
| ~ spl66_162 ),
inference(forward_demodulation,[],[f4153,f1005]) ).
fof(f4153,plain,
( e1 = e3
| e1 = op(e3,e1)
| e1 = op(e2,e1)
| e1 = op(e0,e1)
| ~ spl66_162 ),
inference(forward_demodulation,[],[f528,f1413]) ).
fof(f15721,plain,
( spl66_164
| spl66_6
| spl66_4
| spl66_2
| ~ spl66_22
| ~ spl66_150
| ~ spl66_172 ),
inference(avatar_split_clause,[],[f15708,f1455,f1360,f739,f643,f653,f663,f1420]) ).
fof(f15708,plain,
( e0 = e2
| e1 = e2
| e2 = e3
| e2 = op(e3,e1)
| ~ spl66_22
| ~ spl66_150
| ~ spl66_172 ),
inference(forward_demodulation,[],[f12803,f1361]) ).
fof(f12803,plain,
( e1 = e2
| e2 = e3
| e2 = op(e3,e3)
| e2 = op(e3,e1)
| ~ spl66_22
| ~ spl66_172 ),
inference(forward_demodulation,[],[f4651,f1456]) ).
fof(f15701,plain,
( spl66_37
| spl66_4
| spl66_6
| spl66_2
| ~ spl66_77
| ~ spl66_162
| ~ spl66_184 ),
inference(avatar_split_clause,[],[f15666,f1666,f1412,f1003,f643,f663,f653,f811]) ).
fof(f15666,plain,
( e0 = e2
| e2 = e3
| e1 = e2
| e2 = op(e2,e1)
| ~ spl66_77
| ~ spl66_162
| ~ spl66_184 ),
inference(forward_demodulation,[],[f15665,f1005]) ).
fof(f15665,plain,
( e2 = e3
| e1 = e2
| e2 = op(e2,e1)
| e2 = op(e0,e1)
| ~ spl66_162
| ~ spl66_184 ),
inference(forward_demodulation,[],[f5883,f1413]) ).
fof(f15699,plain,
( ~ spl66_22
| spl66_143
| ~ spl66_150 ),
inference(avatar_split_clause,[],[f12418,f1360,f1329,f739]) ).
fof(f12418,plain,
( e3 != op(e3,e0)
| spl66_143
| ~ spl66_150 ),
inference(forward_demodulation,[],[f1331,f1361]) ).
fof(f15660,plain,
( spl66_150
| spl66_3
| spl66_1
| spl66_2
| ~ spl66_47
| ~ spl66_152
| ~ spl66_181 ),
inference(avatar_split_clause,[],[f15612,f1568,f1368,f859,f643,f638,f648,f1360]) ).
fof(f15612,plain,
( e0 = e2
| e0 = e1
| e0 = e3
| e0 = op(e3,e3)
| ~ spl66_47
| ~ spl66_152
| ~ spl66_181 ),
inference(forward_demodulation,[],[f3884,f1369]) ).
fof(f3884,plain,
( e0 = e1
| e0 = e3
| e0 = op(e3,e3)
| e0 = op(e0,e3)
| ~ spl66_47
| ~ spl66_181 ),
inference(forward_demodulation,[],[f3176,f861]) ).
fof(f3176,plain,
( e0 = e3
| e0 = op(e3,e3)
| e0 = op(e1,e3)
| e0 = op(e0,e3)
| ~ spl66_181 ),
inference(forward_demodulation,[],[f542,f1570]) ).
fof(f15650,plain,
( spl66_150
| spl66_3
| spl66_2
| spl66_1
| ~ spl66_152
| ~ spl66_162
| ~ spl66_181
| ~ spl66_197 ),
inference(avatar_split_clause,[],[f15603,f11032,f1568,f1412,f1368,f638,f643,f648,f1360]) ).
fof(f15603,plain,
( e0 = e1
| e0 = e2
| e0 = e3
| e0 = op(e3,e3)
| ~ spl66_152
| ~ spl66_162
| ~ spl66_181
| ~ spl66_197 ),
inference(forward_demodulation,[],[f9233,f15415]) ).
fof(f15415,plain,
( e1 = op(e1,e3)
| ~ spl66_162
| ~ spl66_197 ),
inference(superposition,[],[f11033,f1413]) ).
fof(f9233,plain,
( e0 = e2
| e0 = e3
| e0 = op(e3,e3)
| e0 = op(e1,e3)
| ~ spl66_152
| ~ spl66_181 ),
inference(forward_demodulation,[],[f3176,f1369]) ).
fof(f15643,plain,
( spl66_77
| ~ spl66_139
| ~ spl66_168 ),
inference(avatar_split_clause,[],[f13477,f1438,f1309,f1003]) ).
fof(f13477,plain,
( e0 = op(e0,e1)
| ~ spl66_139
| ~ spl66_168 ),
inference(superposition,[],[f1310,f1439]) ).
fof(f15587,plain,
( spl66_148
| spl66_4
| spl66_1
| spl66_5
| ~ spl66_170
| ~ spl66_175
| ~ spl66_185 ),
inference(avatar_split_clause,[],[f14848,f1770,f1487,f1446,f658,f638,f653,f1351]) ).
fof(f14848,plain,
( e1 = e3
| e0 = e1
| e1 = e2
| e1 = op(e3,e0)
| ~ spl66_170
| ~ spl66_175
| ~ spl66_185 ),
inference(forward_demodulation,[],[f4661,f1772]) ).
fof(f4661,plain,
( e0 = e1
| e1 = e2
| e1 = op(e3,e0)
| op(e0,e0) = e1
| ~ spl66_170
| ~ spl66_175 ),
inference(forward_demodulation,[],[f2044,f1489]) ).
fof(f2044,plain,
( e1 = e2
| e1 = op(e3,e0)
| e1 = op(e2,e0)
| op(e0,e0) = e1
| ~ spl66_170 ),
inference(forward_demodulation,[],[f520,f1447]) ).
fof(f15552,plain,
( spl66_167
| spl66_5
| spl66_4
| spl66_1
| ~ spl66_32
| ~ spl66_169
| ~ spl66_175 ),
inference(avatar_split_clause,[],[f12221,f1487,f1442,f787,f638,f653,f658,f1433]) ).
fof(f12221,plain,
( e0 = e1
| e1 = e2
| e1 = e3
| e1 = op(e2,e3)
| ~ spl66_32
| ~ spl66_169
| ~ spl66_175 ),
inference(forward_demodulation,[],[f11773,f1489]) ).
fof(f11773,plain,
( e1 = e2
| e1 = e3
| e1 = op(e2,e3)
| e1 = op(e2,e0)
| ~ spl66_32
| ~ spl66_169 ),
inference(forward_demodulation,[],[f3052,f789]) ).
fof(f3052,plain,
( e1 = e3
| e1 = op(e2,e3)
| e1 = op(e2,e2)
| e1 = op(e2,e0)
| ~ spl66_169 ),
inference(forward_demodulation,[],[f535,f1443]) ).
fof(f15550,plain,
( ~ spl66_178
| ~ spl66_182
| spl66_199 ),
inference(avatar_split_clause,[],[f15282,f15278,f1599,f1507]) ).
fof(f15282,plain,
( e1 != op(e0,e2)
| ~ spl66_182
| spl66_199 ),
inference(forward_demodulation,[],[f15280,f1601]) ).
fof(f15280,plain,
( e1 != op(e0,op(e0,e1))
| spl66_199 ),
inference(avatar_component_clause,[],[f15278]) ).
fof(f15548,plain,
( ~ spl66_67
| spl66_139
| ~ spl66_185 ),
inference(avatar_split_clause,[],[f14865,f1770,f1309,f955]) ).
fof(f14865,plain,
( e0 != op(e0,e3)
| spl66_139
| ~ spl66_185 ),
inference(forward_demodulation,[],[f1311,f1772]) ).
fof(f15442,plain,
( spl66_169
| spl66_6
| spl66_3
| ~ spl66_27
| ~ spl66_32
| ~ spl66_175 ),
inference(avatar_split_clause,[],[f15389,f1487,f787,f763,f648,f663,f1442]) ).
fof(f15389,plain,
( e0 = e3
| e2 = e3
| e3 = op(e2,e1)
| ~ spl66_27
| ~ spl66_32
| ~ spl66_175 ),
inference(forward_demodulation,[],[f11466,f1489]) ).
fof(f11466,plain,
( e2 = e3
| e3 = op(e2,e1)
| e3 = op(e2,e0)
| ~ spl66_27
| ~ spl66_32 ),
inference(duplicate_literal_removal,[],[f11048]) ).
fof(f11048,plain,
( e2 = e3
| e2 = e3
| e3 = op(e2,e1)
| e3 = op(e2,e0)
| ~ spl66_27
| ~ spl66_32 ),
inference(forward_demodulation,[],[f3655,f765]) ).
fof(f3655,plain,
( e2 = e3
| e3 = op(e2,e3)
| e3 = op(e2,e1)
| e3 = op(e2,e0)
| ~ spl66_32 ),
inference(forward_demodulation,[],[f539,f789]) ).
fof(f15438,plain,
( spl66_158
| spl66_6
| ~ spl66_32
| ~ spl66_183
| ~ spl66_191 ),
inference(avatar_split_clause,[],[f15342,f4451,f1603,f787,f663,f1394]) ).
fof(f15342,plain,
( e2 = e3
| e3 = op(e1,e2)
| ~ spl66_32
| ~ spl66_183
| ~ spl66_191 ),
inference(duplicate_literal_removal,[],[f15341]) ).
fof(f15341,plain,
( e2 = e3
| e2 = e3
| e3 = op(e1,e2)
| ~ spl66_32
| ~ spl66_183
| ~ spl66_191 ),
inference(forward_demodulation,[],[f15340,f789]) ).
fof(f15340,plain,
( e2 = e3
| e3 = op(e2,e2)
| e3 = op(e1,e2)
| ~ spl66_183
| ~ spl66_191 ),
inference(duplicate_literal_removal,[],[f15339]) ).
fof(f15339,plain,
( e2 = e3
| e2 = e3
| e3 = op(e2,e2)
| e3 = op(e1,e2)
| ~ spl66_183
| ~ spl66_191 ),
inference(forward_demodulation,[],[f13946,f4453]) ).
fof(f13946,plain,
( e2 = e3
| e3 = op(e3,e2)
| e3 = op(e2,e2)
| e3 = op(e1,e2)
| ~ spl66_183 ),
inference(forward_demodulation,[],[f540,f1605]) ).
fof(f15429,plain,
( spl66_6
| spl66_3
| ~ spl66_32
| ~ spl66_137
| ~ spl66_170
| ~ spl66_183
| ~ spl66_191 ),
inference(avatar_split_clause,[],[f15343,f4451,f1603,f1446,f1300,f787,f648,f663]) ).
fof(f15343,plain,
( e0 = e3
| e2 = e3
| ~ spl66_32
| ~ spl66_137
| ~ spl66_170
| ~ spl66_183
| ~ spl66_191 ),
inference(forward_demodulation,[],[f15342,f15275]) ).
fof(f15275,plain,
( e0 = op(e1,e2)
| ~ spl66_137
| ~ spl66_170 ),
inference(superposition,[],[f1301,f1447]) ).
fof(f15390,plain,
( ~ spl66_138
| ~ spl66_183 ),
inference(avatar_split_clause,[],[f13705,f1603,f1305]) ).
fof(f13705,plain,
( ~ sP0
| ~ spl66_183 ),
inference(trivial_inequality_removal,[],[f6373]) ).
fof(f15306,plain,
( spl66_150
| spl66_2
| spl66_3
| ~ spl66_17
| ~ spl66_22
| ~ spl66_191 ),
inference(avatar_split_clause,[],[f4538,f4451,f739,f715,f648,f643,f1360]) ).
fof(f4538,plain,
( e0 = e3
| e0 = e2
| e0 = op(e3,e3)
| ~ spl66_17
| ~ spl66_22
| ~ spl66_191 ),
inference(duplicate_literal_removal,[],[f4537]) ).
fof(f4537,plain,
( e0 = e3
| e0 = e2
| e0 = e3
| e0 = op(e3,e3)
| ~ spl66_17
| ~ spl66_22
| ~ spl66_191 ),
inference(forward_demodulation,[],[f4536,f741]) ).
fof(f4536,plain,
( e0 = e2
| e0 = e3
| e0 = op(e3,e3)
| e0 = op(e3,e0)
| ~ spl66_17
| ~ spl66_191 ),
inference(forward_demodulation,[],[f3748,f4453]) ).
fof(f3748,plain,
( e0 = e3
| e0 = op(e3,e3)
| e0 = op(e3,e2)
| e0 = op(e3,e0)
| ~ spl66_17 ),
inference(forward_demodulation,[],[f541,f717]) ).
fof(f15295,plain,
( spl66_191
| spl66_4
| spl66_6
| ~ spl66_17
| ~ spl66_22
| ~ spl66_159 ),
inference(avatar_split_clause,[],[f15293,f1399,f739,f715,f663,f653,f4451]) ).
fof(f15293,plain,
( e2 = e3
| e1 = e2
| e2 = op(e3,e2)
| ~ spl66_17
| ~ spl66_22
| ~ spl66_159 ),
inference(duplicate_literal_removal,[],[f15292]) ).
fof(f15292,plain,
( e2 = e3
| e1 = e2
| e2 = e3
| e2 = op(e3,e2)
| ~ spl66_17
| ~ spl66_22
| ~ spl66_159 ),
inference(forward_demodulation,[],[f15219,f741]) ).
fof(f15219,plain,
( e1 = e2
| e2 = e3
| e2 = op(e3,e2)
| e2 = op(e3,e0)
| ~ spl66_17
| ~ spl66_159 ),
inference(forward_demodulation,[],[f3750,f1400]) ).
fof(f15289,plain,
( spl66_4
| spl66_6
| spl66_2
| ~ spl66_17
| ~ spl66_22
| ~ spl66_155
| ~ spl66_159 ),
inference(avatar_split_clause,[],[f15216,f1399,f1381,f739,f715,f643,f663,f653]) ).
fof(f15216,plain,
( e0 = e2
| e2 = e3
| e1 = e2
| ~ spl66_17
| ~ spl66_22
| ~ spl66_155
| ~ spl66_159 ),
inference(forward_demodulation,[],[f14941,f1382]) ).
fof(f14941,plain,
( e2 = e3
| e1 = e2
| e2 = op(e3,e2)
| ~ spl66_17
| ~ spl66_22
| ~ spl66_159 ),
inference(duplicate_literal_removal,[],[f14940]) ).
fof(f14940,plain,
( e2 = e3
| e1 = e2
| e2 = e3
| e2 = op(e3,e2)
| ~ spl66_17
| ~ spl66_22
| ~ spl66_159 ),
inference(forward_demodulation,[],[f14939,f741]) ).
fof(f14939,plain,
( e1 = e2
| e2 = e3
| e2 = op(e3,e2)
| e2 = op(e3,e0)
| ~ spl66_17
| ~ spl66_159 ),
inference(forward_demodulation,[],[f3750,f1400]) ).
fof(f15287,plain,
( ~ spl66_138
| ~ spl66_200 ),
inference(avatar_split_clause,[],[f504,f15284,f1305]) ).
fof(f504,plain,
( e3 != op(e0,op(e0,e3))
| ~ sP0 ),
inference(cnf_transformation,[],[f186]) ).
fof(f15281,plain,
( ~ spl66_138
| ~ spl66_199 ),
inference(avatar_split_clause,[],[f502,f15278,f1305]) ).
fof(f15266,plain,
( spl66_17
| ~ spl66_143
| ~ spl66_159 ),
inference(avatar_split_clause,[],[f15018,f1399,f1329,f715]) ).
fof(f15018,plain,
( e3 = op(e3,e1)
| ~ spl66_143
| ~ spl66_159 ),
inference(forward_demodulation,[],[f1330,f1400]) ).
fof(f15190,plain,
( spl66_4
| spl66_5
| spl66_1
| ~ spl66_32
| ~ spl66_149
| ~ spl66_155
| ~ spl66_189 ),
inference(avatar_split_clause,[],[f15128,f1800,f1381,f1355,f787,f638,f658,f653]) ).
fof(f15128,plain,
( e0 = e1
| e1 = e3
| e1 = e2
| ~ spl66_32
| ~ spl66_149
| ~ spl66_155
| ~ spl66_189 ),
inference(forward_demodulation,[],[f15081,f1382]) ).
fof(f15081,plain,
( e1 = e3
| e1 = e2
| e1 = op(e3,e2)
| ~ spl66_32
| ~ spl66_149
| ~ spl66_189 ),
inference(forward_demodulation,[],[f15080,f1356]) ).
fof(f15080,plain,
( e1 = e2
| e1 = op(e3,e2)
| e1 = op(e0,e2)
| ~ spl66_32
| ~ spl66_189 ),
inference(duplicate_literal_removal,[],[f15079]) ).
fof(f15079,plain,
( e1 = e2
| e1 = e2
| e1 = op(e3,e2)
| e1 = op(e0,e2)
| ~ spl66_32
| ~ spl66_189 ),
inference(forward_demodulation,[],[f9032,f789]) ).
fof(f9032,plain,
( e1 = e2
| e1 = op(e3,e2)
| e1 = op(e2,e2)
| e1 = op(e0,e2)
| ~ spl66_189 ),
inference(forward_demodulation,[],[f536,f1802]) ).
fof(f15127,plain,
( spl66_4
| ~ spl66_42
| ~ spl66_151 ),
inference(avatar_split_clause,[],[f2634,f1364,f835,f653]) ).
fof(f1364,plain,
( spl66_151
<=> e1 = op(e2,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl66_151])]) ).
fof(f2634,plain,
( e1 = e2
| ~ spl66_42
| ~ spl66_151 ),
inference(forward_demodulation,[],[f837,f1365]) ).
fof(f1365,plain,
( e1 = op(e2,e0)
| ~ spl66_151 ),
inference(avatar_component_clause,[],[f1364]) ).
fof(f15059,plain,
( spl66_161
| spl66_4
| spl66_2
| ~ spl66_67
| ~ spl66_159
| ~ spl66_167 ),
inference(avatar_split_clause,[],[f2616,f1433,f1399,f955,f643,f653,f1407]) ).
fof(f2616,plain,
( e0 = e2
| e1 = e2
| e2 = op(e1,e3)
| ~ spl66_67
| ~ spl66_159
| ~ spl66_167 ),
inference(forward_demodulation,[],[f2615,f957]) ).
fof(f2615,plain,
( e1 = e2
| e2 = op(e1,e3)
| e2 = op(e0,e3)
| ~ spl66_159
| ~ spl66_167 ),
inference(duplicate_literal_removal,[],[f2614]) ).
fof(f2614,plain,
( e1 = e2
| e1 = e2
| e2 = op(e1,e3)
| e2 = op(e0,e3)
| ~ spl66_159
| ~ spl66_167 ),
inference(forward_demodulation,[],[f2613,f1434]) ).
fof(f2613,plain,
( e1 = e2
| e2 = op(e2,e3)
| e2 = op(e1,e3)
| e2 = op(e0,e3)
| ~ spl66_159 ),
inference(forward_demodulation,[],[f546,f1400]) ).
fof(f15023,plain,
( spl66_167
| spl66_4
| spl66_1
| ~ spl66_32
| ~ spl66_160
| ~ spl66_175 ),
inference(avatar_split_clause,[],[f14925,f1487,f1403,f787,f638,f653,f1433]) ).
fof(f14925,plain,
( e0 = e1
| e1 = e2
| e1 = op(e2,e3)
| ~ spl66_32
| ~ spl66_160
| ~ spl66_175 ),
inference(duplicate_literal_removal,[],[f14924]) ).
fof(f14924,plain,
( e0 = e1
| e0 = e1
| e1 = e2
| e1 = op(e2,e3)
| ~ spl66_32
| ~ spl66_160
| ~ spl66_175 ),
inference(forward_demodulation,[],[f11074,f1489]) ).
fof(f11074,plain,
( e0 = e1
| e1 = e2
| e1 = op(e2,e3)
| e1 = op(e2,e0)
| ~ spl66_32
| ~ spl66_160 ),
inference(forward_demodulation,[],[f3653,f1404]) ).
fof(f3653,plain,
( e1 = e2
| e1 = op(e2,e3)
| e1 = op(e2,e1)
| e1 = op(e2,e0)
| ~ spl66_32 ),
inference(forward_demodulation,[],[f535,f789]) ).
fof(f15015,plain,
( ~ spl66_17
| spl66_143
| ~ spl66_159 ),
inference(avatar_split_clause,[],[f9694,f1399,f1329,f715]) ).
fof(f9694,plain,
( e3 != op(e3,e1)
| spl66_143
| ~ spl66_159 ),
inference(superposition,[],[f1331,f1400]) ).
fof(f14874,plain,
( ~ spl66_25
| spl66_3
| ~ spl66_67 ),
inference(avatar_split_clause,[],[f14392,f955,f648,f754]) ).
fof(f754,plain,
( spl66_25
<=> sP51 ),
introduced(avatar_definition,[new_symbols(naming,[spl66_25])]) ).
fof(f14392,plain,
( e0 = e3
| ~ sP51
| ~ spl66_67 ),
inference(forward_demodulation,[],[f298,f957]) ).
fof(f298,plain,
( e3 = op(e0,e3)
| ~ sP51 ),
inference(cnf_transformation,[],[f135]) ).
fof(f135,plain,
( ( e0 = op(e0,e0)
& e0 = op(e0,e0)
& e3 = op(e0,e3)
& e3 = op(e3,e0) )
| ~ sP51 ),
inference(nnf_transformation,[],[f105]) ).
fof(f105,plain,
( ( e0 = op(e0,e0)
& e0 = op(e0,e0)
& e3 = op(e0,e3)
& e3 = op(e3,e0) )
| ~ sP51 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP51])]) ).
fof(f14815,plain,
( ~ spl66_23
| spl66_3
| ~ spl66_173 ),
inference(avatar_split_clause,[],[f14814,f1459,f648,f744]) ).
fof(f14814,plain,
( e0 = e3
| ~ sP53
| ~ spl66_173 ),
inference(forward_demodulation,[],[f291,f1460]) ).
fof(f291,plain,
( e0 = op(e2,e0)
| ~ sP53 ),
inference(cnf_transformation,[],[f133]) ).
fof(f14813,plain,
( ~ spl66_74
| spl66_175 ),
inference(avatar_split_clause,[],[f454,f1487,f989]) ).
fof(f989,plain,
( spl66_74
<=> sP12 ),
introduced(avatar_definition,[new_symbols(naming,[spl66_74])]) ).
fof(f454,plain,
( e0 = op(e2,e0)
| ~ sP12 ),
inference(cnf_transformation,[],[f174]) ).
fof(f174,plain,
( ( e2 = op(e2,e1)
& e2 = op(e1,e2)
& e0 = op(e2,e0)
& e0 = op(e0,e2) )
| ~ sP12 ),
inference(nnf_transformation,[],[f66]) ).
fof(f66,plain,
( ( e2 = op(e2,e1)
& e2 = op(e1,e2)
& e0 = op(e2,e0)
& e0 = op(e0,e2) )
| ~ sP12 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP12])]) ).
fof(f14807,plain,
( spl66_173
| ~ spl66_163
| ~ spl66_194 ),
inference(avatar_split_clause,[],[f13935,f9000,f1416,f1459]) ).
fof(f13935,plain,
( e3 = op(e2,e0)
| ~ spl66_163
| ~ spl66_194 ),
inference(forward_demodulation,[],[f9001,f1417]) ).
fof(f14761,plain,
( ~ spl66_71
| spl66_2
| ~ spl66_163 ),
inference(avatar_split_clause,[],[f14759,f1416,f643,f975]) ).
fof(f14759,plain,
( e0 = e2
| ~ sP14
| ~ spl66_163 ),
inference(forward_demodulation,[],[f448,f1417]) ).
fof(f448,plain,
( e2 = op(e2,e3)
| ~ sP14 ),
inference(cnf_transformation,[],[f172]) ).
fof(f14758,plain,
( spl66_165
| spl66_2
| spl66_4
| spl66_6
| ~ spl66_47
| ~ spl66_163
| ~ spl66_186 ),
inference(avatar_split_clause,[],[f13770,f1774,f1416,f859,f663,f653,f643,f1425]) ).
fof(f13770,plain,
( e2 = e3
| e1 = e2
| e0 = e2
| e2 = op(e3,e3)
| ~ spl66_47
| ~ spl66_163
| ~ spl66_186 ),
inference(forward_demodulation,[],[f12814,f1776]) ).
fof(f12814,plain,
( e1 = e2
| e0 = e2
| e2 = op(e3,e3)
| e2 = op(e0,e3)
| ~ spl66_47
| ~ spl66_163 ),
inference(forward_demodulation,[],[f12813,f861]) ).
fof(f12813,plain,
( e0 = e2
| e2 = op(e3,e3)
| e2 = op(e1,e3)
| e2 = op(e0,e3)
| ~ spl66_163 ),
inference(forward_demodulation,[],[f546,f1417]) ).
fof(f14755,plain,
( ~ spl66_162
| ~ spl66_47
| spl66_195 ),
inference(avatar_split_clause,[],[f14293,f9319,f859,f1412]) ).
fof(f14293,plain,
( e3 != op(e1,e1)
| ~ spl66_47
| spl66_195 ),
inference(forward_demodulation,[],[f9321,f861]) ).
fof(f14749,plain,
( spl66_72
| ~ spl66_139
| ~ spl66_171 ),
inference(avatar_split_clause,[],[f13145,f1451,f1309,f979]) ).
fof(f14670,plain,
( spl66_159
| spl66_4
| spl66_5
| spl66_1
| ~ spl66_67
| ~ spl66_161
| ~ spl66_181 ),
inference(avatar_split_clause,[],[f14656,f1568,f1407,f955,f638,f658,f653,f1399]) ).
fof(f14656,plain,
( e0 = e1
| e1 = e3
| e1 = e2
| e1 = op(e3,e3)
| ~ spl66_67
| ~ spl66_161
| ~ spl66_181 ),
inference(forward_demodulation,[],[f14430,f957]) ).
fof(f14430,plain,
( e1 = e3
| e1 = e2
| e1 = op(e3,e3)
| e1 = op(e0,e3)
| ~ spl66_161
| ~ spl66_181 ),
inference(forward_demodulation,[],[f9339,f1570]) ).
fof(f14654,plain,
( spl66_8
| spl66_5
| spl66_6
| spl66_3
| ~ spl66_67
| ~ spl66_161
| ~ spl66_167 ),
inference(avatar_split_clause,[],[f14598,f1433,f1407,f955,f648,f663,f658,f672]) ).
fof(f14598,plain,
( e0 = e3
| e2 = e3
| e1 = e3
| e3 = op(e3,e3)
| ~ spl66_67
| ~ spl66_161
| ~ spl66_167 ),
inference(forward_demodulation,[],[f13066,f957]) ).
fof(f13066,plain,
( e2 = e3
| e1 = e3
| e3 = op(e3,e3)
| e3 = op(e0,e3)
| ~ spl66_161
| ~ spl66_167 ),
inference(forward_demodulation,[],[f13065,f1408]) ).
fof(f13065,plain,
( e1 = e3
| e3 = op(e3,e3)
| e3 = op(e1,e3)
| e3 = op(e0,e3)
| ~ spl66_167 ),
inference(forward_demodulation,[],[f548,f1434]) ).
fof(f14652,plain,
( ~ spl66_146
| spl66_92
| ~ spl66_162 ),
inference(avatar_split_clause,[],[f12698,f1412,f1077,f1342]) ).
fof(f1077,plain,
( spl66_92
<=> op(e0,e1) = op(e1,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl66_92])]) ).
fof(f12698,plain,
( e3 != op(e0,e1)
| spl66_92
| ~ spl66_162 ),
inference(superposition,[],[f1079,f1413]) ).
fof(f1079,plain,
( op(e0,e1) != op(e1,e1)
| spl66_92 ),
inference(avatar_component_clause,[],[f1077]) ).
fof(f14643,plain,
( spl66_155
| spl66_1
| spl66_3
| ~ spl66_52
| ~ spl66_149
| ~ spl66_153 ),
inference(avatar_split_clause,[],[f14630,f1373,f1355,f883,f648,f638,f1381]) ).
fof(f14630,plain,
( e0 = e3
| e0 = e1
| e0 = op(e3,e2)
| ~ spl66_52
| ~ spl66_149
| ~ spl66_153 ),
inference(duplicate_literal_removal,[],[f14629]) ).
fof(f14629,plain,
( e0 = e3
| e0 = e1
| e0 = e3
| e0 = op(e3,e2)
| ~ spl66_52
| ~ spl66_149
| ~ spl66_153 ),
inference(forward_demodulation,[],[f14628,f1356]) ).
fof(f14628,plain,
( e0 = e1
| e0 = e3
| e0 = op(e3,e2)
| e0 = op(e0,e2)
| ~ spl66_52
| ~ spl66_153 ),
inference(forward_demodulation,[],[f10213,f885]) ).
fof(f14623,plain,
( spl66_153
| spl66_6
| spl66_5
| spl66_3
| ~ spl66_37
| ~ spl66_167
| ~ spl66_175 ),
inference(avatar_split_clause,[],[f14334,f1487,f1433,f811,f648,f658,f663,f1373]) ).
fof(f14334,plain,
( e0 = e3
| e1 = e3
| e2 = e3
| e3 = op(e2,e2)
| ~ spl66_37
| ~ spl66_167
| ~ spl66_175 ),
inference(forward_demodulation,[],[f13042,f1489]) ).
fof(f13042,plain,
( e1 = e3
| e2 = e3
| e3 = op(e2,e2)
| e3 = op(e2,e0)
| ~ spl66_37
| ~ spl66_167 ),
inference(forward_demodulation,[],[f12842,f1434]) ).
fof(f12842,plain,
( e2 = e3
| e3 = op(e2,e3)
| e3 = op(e2,e2)
| e3 = op(e2,e0)
| ~ spl66_37 ),
inference(forward_demodulation,[],[f539,f813]) ).
fof(f813,plain,
( e2 = op(e2,e1)
| ~ spl66_37 ),
inference(avatar_component_clause,[],[f811]) ).
fof(f14618,plain,
( spl66_159
| spl66_1
| spl66_5
| ~ spl66_22
| ~ spl66_155
| ~ spl66_157 ),
inference(avatar_split_clause,[],[f14552,f1390,f1381,f739,f658,f638,f1399]) ).
fof(f14552,plain,
( e1 = e3
| e0 = e1
| e1 = op(e3,e3)
| ~ spl66_22
| ~ spl66_155
| ~ spl66_157 ),
inference(forward_demodulation,[],[f14551,f741]) ).
fof(f14551,plain,
( e0 = e1
| e1 = op(e3,e3)
| e1 = op(e3,e0)
| ~ spl66_155
| ~ spl66_157 ),
inference(duplicate_literal_removal,[],[f14550]) ).
fof(f14550,plain,
( e0 = e1
| e0 = e1
| e1 = op(e3,e3)
| e1 = op(e3,e0)
| ~ spl66_155
| ~ spl66_157 ),
inference(forward_demodulation,[],[f9246,f1391]) ).
fof(f9246,plain,
( e0 = e1
| e1 = op(e3,e3)
| e1 = op(e3,e1)
| e1 = op(e3,e0)
| ~ spl66_155 ),
inference(forward_demodulation,[],[f543,f1382]) ).
fof(f14588,plain,
( spl66_183
| spl66_2
| spl66_4
| ~ spl66_52
| ~ spl66_155
| ~ spl66_156 ),
inference(avatar_split_clause,[],[f13831,f1386,f1381,f883,f653,f643,f1603]) ).
fof(f13831,plain,
( e1 = e2
| e0 = e2
| e2 = op(e0,e2)
| ~ spl66_52
| ~ spl66_155
| ~ spl66_156 ),
inference(duplicate_literal_removal,[],[f9426]) ).
fof(f9426,plain,
( e1 = e2
| e0 = e2
| e1 = e2
| e2 = op(e0,e2)
| ~ spl66_52
| ~ spl66_155
| ~ spl66_156 ),
inference(forward_demodulation,[],[f9408,f885]) ).
fof(f9408,plain,
( e0 = e2
| e1 = e2
| e2 = op(e1,e2)
| e2 = op(e0,e2)
| ~ spl66_155
| ~ spl66_156 ),
inference(forward_demodulation,[],[f7709,f1382]) ).
fof(f7709,plain,
( e1 = e2
| e2 = op(e3,e2)
| e2 = op(e1,e2)
| e2 = op(e0,e2)
| ~ spl66_156 ),
inference(forward_demodulation,[],[f538,f1387]) ).
fof(f14514,plain,
( ~ spl66_178
| ~ spl66_52
| spl66_98 ),
inference(avatar_split_clause,[],[f8157,f1107,f883,f1507]) ).
fof(f1107,plain,
( spl66_98
<=> op(e0,e2) = op(e1,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl66_98])]) ).
fof(f8157,plain,
( e1 != op(e0,e2)
| ~ spl66_52
| spl66_98 ),
inference(superposition,[],[f1109,f885]) ).
fof(f1109,plain,
( op(e0,e2) != op(e1,e2)
| spl66_98 ),
inference(avatar_component_clause,[],[f1107]) ).
fof(f14506,plain,
( spl66_72
| ~ spl66_139
| ~ spl66_171 ),
inference(avatar_split_clause,[],[f13145,f1451,f1309,f979]) ).
fof(f14393,plain,
( ~ spl66_25
| spl66_1
| ~ spl66_168 ),
inference(avatar_split_clause,[],[f5255,f1438,f638,f754]) ).
fof(f5255,plain,
( e0 = e1
| ~ sP51
| ~ spl66_168 ),
inference(forward_demodulation,[],[f300,f1439]) ).
fof(f300,plain,
( e0 = op(e0,e0)
| ~ sP51 ),
inference(cnf_transformation,[],[f135]) ).
fof(f14390,plain,
( ~ spl66_69
| spl66_3
| ~ spl66_22 ),
inference(avatar_split_clause,[],[f14387,f739,f648,f965]) ).
fof(f14387,plain,
( e0 = e3
| ~ sP16
| ~ spl66_22 ),
inference(forward_demodulation,[],[f438,f741]) ).
fof(f14385,plain,
( ~ spl66_23
| spl66_3
| ~ spl66_67 ),
inference(avatar_split_clause,[],[f12888,f955,f648,f744]) ).
fof(f12888,plain,
( e0 = e3
| ~ sP53
| ~ spl66_67 ),
inference(forward_demodulation,[],[f290,f957]) ).
fof(f290,plain,
( e3 = op(e0,e3)
| ~ sP53 ),
inference(cnf_transformation,[],[f133]) ).
fof(f14312,plain,
( spl66_165
| spl66_6
| spl66_4
| ~ spl66_12
| ~ spl66_148
| ~ spl66_184 ),
inference(avatar_split_clause,[],[f14303,f1666,f1351,f691,f653,f663,f1425]) ).
fof(f14303,plain,
( e1 = e2
| e2 = e3
| e2 = op(e3,e3)
| ~ spl66_12
| ~ spl66_148
| ~ spl66_184 ),
inference(duplicate_literal_removal,[],[f14302]) ).
fof(f14302,plain,
( e1 = e2
| e2 = e3
| e1 = e2
| e2 = op(e3,e3)
| ~ spl66_12
| ~ spl66_148
| ~ spl66_184 ),
inference(forward_demodulation,[],[f14301,f1352]) ).
fof(f14301,plain,
( e2 = e3
| e1 = e2
| e2 = op(e3,e3)
| e2 = op(e3,e0)
| ~ spl66_12
| ~ spl66_184 ),
inference(forward_demodulation,[],[f4426,f693]) ).
fof(f14300,plain,
( spl66_184
| spl66_1
| spl66_4
| spl66_5
| ~ spl66_37
| ~ spl66_144
| ~ spl66_146 ),
inference(avatar_split_clause,[],[f14201,f1342,f1334,f811,f658,f653,f638,f1666]) ).
fof(f14201,plain,
( e1 = e3
| e1 = e2
| e0 = e1
| e1 = op(e3,e1)
| ~ spl66_37
| ~ spl66_144
| ~ spl66_146 ),
inference(forward_demodulation,[],[f13405,f1343]) ).
fof(f13405,plain,
( e1 = e2
| e0 = e1
| e1 = op(e3,e1)
| e1 = op(e0,e1)
| ~ spl66_37
| ~ spl66_144 ),
inference(forward_demodulation,[],[f3874,f813]) ).
fof(f3874,plain,
( e0 = e1
| e1 = op(e3,e1)
| e1 = op(e2,e1)
| e1 = op(e0,e1)
| ~ spl66_144 ),
inference(forward_demodulation,[],[f528,f1335]) ).
fof(f14292,plain,
( spl66_161
| ~ spl66_158
| ~ spl66_192 ),
inference(avatar_split_clause,[],[f8600,f7843,f1394,f1407]) ).
fof(f7843,plain,
( spl66_192
<=> e2 = op(e1,op(e1,e2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl66_192])]) ).
fof(f8600,plain,
( e2 = op(e1,e3)
| ~ spl66_158
| ~ spl66_192 ),
inference(superposition,[],[f7844,f1395]) ).
fof(f7844,plain,
( e2 = op(e1,op(e1,e2))
| ~ spl66_192 ),
inference(avatar_component_clause,[],[f7843]) ).
fof(f14277,plain,
( spl66_62
| ~ spl66_47
| ~ spl66_144
| ~ spl66_195 ),
inference(avatar_split_clause,[],[f14260,f9319,f1334,f859,f931]) ).
fof(f14260,plain,
( e1 = op(e1,e0)
| ~ spl66_47
| ~ spl66_144
| ~ spl66_195 ),
inference(forward_demodulation,[],[f861,f14257]) ).
fof(f14257,plain,
( e0 = e3
| ~ spl66_47
| ~ spl66_144
| ~ spl66_195 ),
inference(forward_demodulation,[],[f12679,f1335]) ).
fof(f12679,plain,
( e3 = op(e1,e1)
| ~ spl66_47
| ~ spl66_195 ),
inference(superposition,[],[f9320,f861]) ).
fof(f14244,plain,
( ~ spl66_12
| ~ spl66_8
| spl66_133 ),
inference(avatar_split_clause,[],[f11824,f1282,f672,f691]) ).
fof(f1282,plain,
( spl66_133
<=> op(e3,e2) = op(e3,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl66_133])]) ).
fof(f11824,plain,
( e3 != op(e3,e2)
| ~ spl66_8
| spl66_133 ),
inference(superposition,[],[f1284,f674]) ).
fof(f1284,plain,
( op(e3,e2) != op(e3,e3)
| spl66_133 ),
inference(avatar_component_clause,[],[f1282]) ).
fof(f14241,plain,
( ~ spl66_161
| ~ spl66_161
| spl66_192
| ~ spl66_195 ),
inference(avatar_split_clause,[],[f12572,f9319,f7843,f1407,f1407]) ).
fof(f12572,plain,
( e2 != op(e1,e3)
| ~ spl66_161
| spl66_192
| ~ spl66_195 ),
inference(forward_demodulation,[],[f7845,f11886]) ).
fof(f7845,plain,
( e2 != op(e1,op(e1,e2))
| spl66_192 ),
inference(avatar_component_clause,[],[f7843]) ).
fof(f14208,plain,
( ~ spl66_136
| ~ spl66_158
| ~ spl66_161 ),
inference(avatar_split_clause,[],[f8531,f1407,f1394,f1296]) ).
fof(f1296,plain,
( spl66_136
<=> sP1 ),
introduced(avatar_definition,[new_symbols(naming,[spl66_136])]) ).
fof(f8531,plain,
( ~ sP1
| ~ spl66_158
| ~ spl66_161 ),
inference(trivial_inequality_removal,[],[f6379]) ).
fof(f6379,plain,
( e2 != e2
| ~ sP1
| ~ spl66_158
| ~ spl66_161 ),
inference(forward_demodulation,[],[f6378,f1408]) ).
fof(f6378,plain,
( e2 != op(e1,e3)
| ~ sP1
| ~ spl66_158 ),
inference(forward_demodulation,[],[f499,f1395]) ).
fof(f499,plain,
( e2 != op(e1,op(e1,e2))
| ~ sP1 ),
inference(cnf_transformation,[],[f185]) ).
fof(f185,plain,
( ( e3 != op(e1,op(e1,e3))
& e2 != op(e1,op(e1,e2))
& e1 != op(e1,op(e1,e1))
& e0 != op(e1,op(e1,e0)) )
| ~ sP1 ),
inference(nnf_transformation,[],[f55]) ).
fof(f55,plain,
( ( e3 != op(e1,op(e1,e3))
& e2 != op(e1,op(e1,e2))
& e1 != op(e1,op(e1,e1))
& e0 != op(e1,op(e1,e0)) )
| ~ sP1 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])]) ).
fof(f14154,plain,
( spl66_165
| spl66_4
| spl66_2
| spl66_6
| ~ spl66_154
| ~ spl66_163
| ~ spl66_180 ),
inference(avatar_split_clause,[],[f14029,f1564,f1416,f1377,f663,f643,f653,f1425]) ).
fof(f14029,plain,
( e2 = e3
| e0 = e2
| e1 = e2
| e2 = op(e3,e3)
| ~ spl66_154
| ~ spl66_163
| ~ spl66_180 ),
inference(forward_demodulation,[],[f13311,f1566]) ).
fof(f13311,plain,
( e0 = e2
| e1 = e2
| e2 = op(e3,e3)
| e2 = op(e1,e3)
| ~ spl66_154
| ~ spl66_163 ),
inference(forward_demodulation,[],[f11483,f1417]) ).
fof(f14146,plain,
( spl66_173
| ~ spl66_163
| ~ spl66_194 ),
inference(avatar_split_clause,[],[f13935,f9000,f1416,f1459]) ).
fof(f14077,plain,
( spl66_6
| ~ spl66_8
| ~ spl66_12
| ~ spl66_142 ),
inference(avatar_split_clause,[],[f14076,f1324,f691,f672,f663]) ).
fof(f14076,plain,
( e2 = e3
| ~ spl66_8
| ~ spl66_12
| ~ spl66_142 ),
inference(forward_demodulation,[],[f674,f9726]) ).
fof(f13995,plain,
( spl66_179
| spl66_3
| spl66_1
| spl66_2
| ~ spl66_52
| ~ spl66_162
| ~ spl66_170 ),
inference(avatar_split_clause,[],[f13752,f1446,f1412,f883,f643,f638,f648,f1535]) ).
fof(f13752,plain,
( e0 = e2
| e0 = e1
| e0 = e3
| e0 = op(e1,e3)
| ~ spl66_52
| ~ spl66_162
| ~ spl66_170 ),
inference(forward_demodulation,[],[f13751,f1447]) ).
fof(f13751,plain,
( e0 = e1
| e0 = e3
| e0 = op(e1,e3)
| e0 = op(e1,e0)
| ~ spl66_52
| ~ spl66_162 ),
inference(forward_demodulation,[],[f12954,f885]) ).
fof(f12954,plain,
( e0 = e3
| e0 = op(e1,e3)
| e0 = op(e1,e2)
| e0 = op(e1,e0)
| ~ spl66_162 ),
inference(forward_demodulation,[],[f525,f1413]) ).
fof(f13991,plain,
( spl66_173
| ~ spl66_163
| ~ spl66_194 ),
inference(avatar_split_clause,[],[f13935,f9000,f1416,f1459]) ).
fof(f13936,plain,
( ~ spl66_165
| ~ spl66_12
| spl66_142 ),
inference(avatar_split_clause,[],[f10431,f1324,f691,f1425]) ).
fof(f10431,plain,
( e2 != op(e3,e3)
| ~ spl66_12
| spl66_142 ),
inference(superposition,[],[f1326,f693]) ).
fof(f13934,plain,
( ~ spl66_173
| ~ spl66_163
| spl66_194 ),
inference(avatar_split_clause,[],[f9389,f9000,f1416,f1459]) ).
fof(f9389,plain,
( e3 != op(e2,e0)
| ~ spl66_163
| spl66_194 ),
inference(superposition,[],[f9002,f1417]) ).
fof(f13932,plain,
( ~ spl66_37
| ~ spl66_156
| spl66_193 ),
inference(avatar_split_clause,[],[f9048,f7893,f1386,f811]) ).
fof(f9048,plain,
( e2 != op(e2,e1)
| ~ spl66_156
| spl66_193 ),
inference(superposition,[],[f7895,f1387]) ).
fof(f7895,plain,
( e2 != op(e2,op(e2,e2))
| spl66_193 ),
inference(avatar_component_clause,[],[f7893]) ).
fof(f13930,plain,
( ~ spl66_151
| spl66_91
| ~ spl66_148 ),
inference(avatar_split_clause,[],[f3821,f1351,f1072,f1364]) ).
fof(f3821,plain,
( e1 != op(e2,e0)
| spl66_91
| ~ spl66_148 ),
inference(superposition,[],[f1074,f1352]) ).
fof(f13923,plain,
( spl66_166
| spl66_155
| spl66_1
| spl66_2
| ~ spl66_156
| ~ spl66_183 ),
inference(avatar_split_clause,[],[f13890,f1603,f1386,f643,f638,f1381,f1429]) ).
fof(f13890,plain,
( e0 = e2
| e0 = e1
| e0 = op(e3,e2)
| e0 = op(e1,e2)
| ~ spl66_156
| ~ spl66_183 ),
inference(forward_demodulation,[],[f9791,f1605]) ).
fof(f13888,plain,
( spl66_3
| spl66_5
| spl66_6
| ~ spl66_52
| ~ spl66_155
| ~ spl66_156
| ~ spl66_183 ),
inference(avatar_split_clause,[],[f13836,f1603,f1386,f1381,f883,f663,f658,f648]) ).
fof(f13836,plain,
( e2 = e3
| e1 = e3
| e0 = e3
| ~ spl66_52
| ~ spl66_155
| ~ spl66_156
| ~ spl66_183 ),
inference(forward_demodulation,[],[f13835,f1605]) ).
fof(f13835,plain,
( e1 = e3
| e0 = e3
| e3 = op(e0,e2)
| ~ spl66_52
| ~ spl66_155
| ~ spl66_156 ),
inference(duplicate_literal_removal,[],[f13834]) ).
fof(f13834,plain,
( e1 = e3
| e1 = e3
| e0 = e3
| e3 = op(e0,e2)
| ~ spl66_52
| ~ spl66_155
| ~ spl66_156 ),
inference(forward_demodulation,[],[f13833,f885]) ).
fof(f13833,plain,
( e1 = e3
| e0 = e3
| e3 = op(e1,e2)
| e3 = op(e0,e2)
| ~ spl66_155
| ~ spl66_156 ),
inference(forward_demodulation,[],[f10679,f1387]) ).
fof(f10679,plain,
( e0 = e3
| e3 = op(e2,e2)
| e3 = op(e1,e2)
| e3 = op(e0,e2)
| ~ spl66_155 ),
inference(forward_demodulation,[],[f540,f1382]) ).
fof(f13828,plain,
( spl66_155
| spl66_1
| spl66_2
| ~ spl66_52
| ~ spl66_156
| ~ spl66_183 ),
inference(avatar_split_clause,[],[f13763,f1603,f1386,f883,f643,f638,f1381]) ).
fof(f13763,plain,
( e0 = e2
| e0 = e1
| e0 = op(e3,e2)
| ~ spl66_52
| ~ spl66_156
| ~ spl66_183 ),
inference(forward_demodulation,[],[f13762,f1605]) ).
fof(f13762,plain,
( e0 = e1
| e0 = op(e3,e2)
| e0 = op(e0,e2)
| ~ spl66_52
| ~ spl66_156 ),
inference(duplicate_literal_removal,[],[f13761]) ).
fof(f13761,plain,
( e0 = e1
| e0 = e1
| e0 = op(e3,e2)
| e0 = op(e0,e2)
| ~ spl66_52
| ~ spl66_156 ),
inference(forward_demodulation,[],[f9791,f885]) ).
fof(f13701,plain,
( spl66_150
| spl66_1
| spl66_3
| spl66_2
| ~ spl66_152
| ~ spl66_167
| ~ spl66_180 ),
inference(avatar_split_clause,[],[f13688,f1564,f1433,f1368,f643,f648,f638,f1360]) ).
fof(f13688,plain,
( e0 = e2
| e0 = e3
| e0 = e1
| e0 = op(e3,e3)
| ~ spl66_152
| ~ spl66_167
| ~ spl66_180 ),
inference(forward_demodulation,[],[f13687,f1369]) ).
fof(f13687,plain,
( e0 = e3
| e0 = e1
| e0 = op(e3,e3)
| e0 = op(e0,e3)
| ~ spl66_167
| ~ spl66_180 ),
inference(forward_demodulation,[],[f13063,f1566]) ).
fof(f13063,plain,
( e0 = e1
| e0 = op(e3,e3)
| e0 = op(e1,e3)
| e0 = op(e0,e3)
| ~ spl66_167 ),
inference(forward_demodulation,[],[f542,f1434]) ).
fof(f13697,plain,
( spl66_155
| spl66_3
| spl66_1
| ~ spl66_52
| ~ spl66_149
| ~ spl66_156 ),
inference(avatar_split_clause,[],[f13657,f1386,f1355,f883,f638,f648,f1381]) ).
fof(f13657,plain,
( e0 = e1
| e0 = e3
| e0 = op(e3,e2)
| ~ spl66_52
| ~ spl66_149
| ~ spl66_156 ),
inference(duplicate_literal_removal,[],[f13656]) ).
fof(f13656,plain,
( e0 = e1
| e0 = e1
| e0 = e3
| e0 = op(e3,e2)
| ~ spl66_52
| ~ spl66_149
| ~ spl66_156 ),
inference(forward_demodulation,[],[f13573,f885]) ).
fof(f13573,plain,
( e0 = e1
| e0 = e3
| e0 = op(e3,e2)
| e0 = op(e1,e2)
| ~ spl66_149
| ~ spl66_156 ),
inference(forward_demodulation,[],[f2042,f1387]) ).
fof(f2042,plain,
( e0 = e3
| e0 = op(e3,e2)
| e0 = op(e2,e2)
| e0 = op(e1,e2)
| ~ spl66_149 ),
inference(forward_demodulation,[],[f534,f1356]) ).
fof(f13682,plain,
( spl66_159
| spl66_5
| spl66_4
| ~ spl66_152
| ~ spl66_180
| ~ spl66_181 ),
inference(avatar_split_clause,[],[f13649,f1568,f1564,f1368,f653,f658,f1399]) ).
fof(f13649,plain,
( e1 = e2
| e1 = e3
| e1 = op(e3,e3)
| ~ spl66_152
| ~ spl66_180
| ~ spl66_181 ),
inference(forward_demodulation,[],[f13648,f1369]) ).
fof(f13648,plain,
( e1 = e3
| e1 = op(e3,e3)
| e1 = op(e0,e3)
| ~ spl66_180
| ~ spl66_181 ),
inference(duplicate_literal_removal,[],[f13647]) ).
fof(f13647,plain,
( e1 = e3
| e1 = e3
| e1 = op(e3,e3)
| e1 = op(e0,e3)
| ~ spl66_180
| ~ spl66_181 ),
inference(forward_demodulation,[],[f9241,f1566]) ).
fof(f9241,plain,
( e1 = e3
| e1 = op(e3,e3)
| e1 = op(e1,e3)
| e1 = op(e0,e3)
| ~ spl66_181 ),
inference(forward_demodulation,[],[f544,f1570]) ).
fof(f13655,plain,
( spl66_3
| ~ spl66_135
| ~ spl66_173
| ~ spl66_181 ),
inference(avatar_split_clause,[],[f13653,f1568,f1459,f1291,f648]) ).
fof(f13653,plain,
( e0 = e3
| ~ spl66_135
| ~ spl66_173
| ~ spl66_181 ),
inference(forward_demodulation,[],[f1570,f13577]) ).
fof(f13577,plain,
( e0 = op(e2,e3)
| ~ spl66_135
| ~ spl66_173 ),
inference(forward_demodulation,[],[f1292,f1460]) ).
fof(f13645,plain,
( spl66_159
| spl66_1
| spl66_5
| spl66_4
| ~ spl66_152
| ~ spl66_163
| ~ spl66_180 ),
inference(avatar_split_clause,[],[f13490,f1564,f1416,f1368,f653,f658,f638,f1399]) ).
fof(f13490,plain,
( e1 = e2
| e1 = e3
| e0 = e1
| e1 = op(e3,e3)
| ~ spl66_152
| ~ spl66_163
| ~ spl66_180 ),
inference(forward_demodulation,[],[f13489,f1369]) ).
fof(f13489,plain,
( e1 = e3
| e0 = e1
| e1 = op(e3,e3)
| e1 = op(e0,e3)
| ~ spl66_163
| ~ spl66_180 ),
inference(forward_demodulation,[],[f11429,f1566]) ).
fof(f11429,plain,
( e0 = e1
| e1 = op(e3,e3)
| e1 = op(e1,e3)
| e1 = op(e0,e3)
| ~ spl66_163 ),
inference(forward_demodulation,[],[f544,f1417]) ).
fof(f13578,plain,
( ~ spl66_134
| ~ spl66_37
| ~ spl66_156 ),
inference(avatar_split_clause,[],[f12613,f1386,f811,f1287]) ).
fof(f1287,plain,
( spl66_134
<=> sP2 ),
introduced(avatar_definition,[new_symbols(naming,[spl66_134])]) ).
fof(f12613,plain,
( ~ sP2
| ~ spl66_37
| ~ spl66_156 ),
inference(trivial_inequality_removal,[],[f7705]) ).
fof(f7705,plain,
( e1 != e1
| ~ sP2
| ~ spl66_37
| ~ spl66_156 ),
inference(forward_demodulation,[],[f7704,f1387]) ).
fof(f7704,plain,
( e1 != op(e2,e2)
| ~ sP2
| ~ spl66_37 ),
inference(forward_demodulation,[],[f494,f813]) ).
fof(f494,plain,
( e1 != op(e2,op(e2,e1))
| ~ sP2 ),
inference(cnf_transformation,[],[f184]) ).
fof(f184,plain,
( ( e3 != op(e2,op(e2,e3))
& e2 != op(e2,op(e2,e2))
& e1 != op(e2,op(e2,e1))
& e0 != op(e2,op(e2,e0)) )
| ~ sP2 ),
inference(nnf_transformation,[],[f56]) ).
fof(f56,plain,
( ( e3 != op(e2,op(e2,e3))
& e2 != op(e2,op(e2,e2))
& e1 != op(e2,op(e2,e1))
& e0 != op(e2,op(e2,e0)) )
| ~ sP2 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP2])]) ).
fof(f13528,plain,
( spl66_3
| ~ spl66_82
| ~ spl66_185 ),
inference(avatar_split_clause,[],[f1838,f1770,f1027,f648]) ).
fof(f1027,plain,
( spl66_82
<=> e0 = op(e0,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl66_82])]) ).
fof(f1838,plain,
( e0 = e3
| ~ spl66_82
| ~ spl66_185 ),
inference(superposition,[],[f1772,f1029]) ).
fof(f1029,plain,
( e0 = op(e0,e0)
| ~ spl66_82 ),
inference(avatar_component_clause,[],[f1027]) ).
fof(f13478,plain,
( spl66_3
| spl66_6
| spl66_5
| ~ spl66_37
| ~ spl66_42
| ~ spl66_147
| ~ spl66_167 ),
inference(avatar_split_clause,[],[f13408,f1433,f1347,f835,f811,f658,f663,f648]) ).
fof(f13408,plain,
( e1 = e3
| e2 = e3
| e0 = e3
| ~ spl66_37
| ~ spl66_42
| ~ spl66_147
| ~ spl66_167 ),
inference(forward_demodulation,[],[f9646,f1434]) ).
fof(f9646,plain,
( e2 = e3
| e0 = e3
| e3 = op(e2,e3)
| ~ spl66_37
| ~ spl66_42
| ~ spl66_147 ),
inference(duplicate_literal_removal,[],[f6777]) ).
fof(f6777,plain,
( e2 = e3
| e2 = e3
| e0 = e3
| e3 = op(e2,e3)
| ~ spl66_37
| ~ spl66_42
| ~ spl66_147 ),
inference(forward_demodulation,[],[f6222,f837]) ).
fof(f6222,plain,
( e2 = e3
| e0 = e3
| e3 = op(e2,e3)
| e3 = op(e2,e0)
| ~ spl66_37
| ~ spl66_147 ),
inference(forward_demodulation,[],[f4229,f813]) ).
fof(f4229,plain,
( e0 = e3
| e3 = op(e2,e3)
| e3 = op(e2,e1)
| e3 = op(e2,e0)
| ~ spl66_147 ),
inference(forward_demodulation,[],[f539,f1348]) ).
fof(f13349,plain,
( ~ spl66_22
| ~ spl66_8
| spl66_130 ),
inference(avatar_split_clause,[],[f3218,f1267,f672,f739]) ).
fof(f3218,plain,
( e3 != op(e3,e0)
| ~ spl66_8
| spl66_130 ),
inference(superposition,[],[f1269,f674]) ).
fof(f13310,plain,
( spl66_157
| spl66_2
| spl66_3
| ~ spl66_37
| ~ spl66_146
| ~ spl66_162 ),
inference(avatar_split_clause,[],[f13251,f1412,f1342,f811,f648,f643,f1390]) ).
fof(f13251,plain,
( e0 = e3
| e0 = e2
| e0 = op(e3,e1)
| ~ spl66_37
| ~ spl66_146
| ~ spl66_162 ),
inference(duplicate_literal_removal,[],[f13250]) ).
fof(f13250,plain,
( e0 = e3
| e0 = e2
| e0 = e3
| e0 = op(e3,e1)
| ~ spl66_37
| ~ spl66_146
| ~ spl66_162 ),
inference(forward_demodulation,[],[f6490,f1413]) ).
fof(f6490,plain,
( e0 = e2
| e0 = e3
| e0 = op(e3,e1)
| e0 = op(e1,e1)
| ~ spl66_37
| ~ spl66_146 ),
inference(forward_demodulation,[],[f5081,f813]) ).
fof(f13237,plain,
( spl66_6
| ~ spl66_146
| ~ spl66_163
| ~ spl66_167
| ~ spl66_171 ),
inference(avatar_split_clause,[],[f13181,f1451,f1433,f1416,f1342,f663]) ).
fof(f13181,plain,
( e2 = e3
| ~ spl66_146
| ~ spl66_163
| ~ spl66_167
| ~ spl66_171 ),
inference(forward_demodulation,[],[f13136,f1452]) ).
fof(f13136,plain,
( op(e0,e0) = e3
| ~ spl66_146
| ~ spl66_163
| ~ spl66_167 ),
inference(forward_demodulation,[],[f1343,f7288]) ).
fof(f7288,plain,
( e0 = e1
| ~ spl66_163
| ~ spl66_167 ),
inference(superposition,[],[f1417,f1434]) ).
fof(f13171,plain,
( spl66_82
| ~ spl66_22
| ~ spl66_176 ),
inference(avatar_split_clause,[],[f13085,f1491,f739,f1027]) ).
fof(f13085,plain,
( e0 = op(e0,e0)
| ~ spl66_22
| ~ spl66_176 ),
inference(forward_demodulation,[],[f1493,f4112]) ).
fof(f4112,plain,
( e0 = e3
| ~ spl66_22
| ~ spl66_176 ),
inference(superposition,[],[f1493,f741]) ).
fof(f13055,plain,
( spl66_5
| spl66_6
| spl66_3
| ~ spl66_32
| ~ spl66_37
| ~ spl66_167
| ~ spl66_175 ),
inference(avatar_split_clause,[],[f12971,f1487,f1433,f811,f787,f648,f663,f658]) ).
fof(f12971,plain,
( e0 = e3
| e2 = e3
| e1 = e3
| ~ spl66_32
| ~ spl66_37
| ~ spl66_167
| ~ spl66_175 ),
inference(forward_demodulation,[],[f12970,f1489]) ).
fof(f12970,plain,
( e2 = e3
| e1 = e3
| e3 = op(e2,e0)
| ~ spl66_32
| ~ spl66_37
| ~ spl66_167 ),
inference(duplicate_literal_removal,[],[f12969]) ).
fof(f12969,plain,
( e2 = e3
| e2 = e3
| e1 = e3
| e3 = op(e2,e0)
| ~ spl66_32
| ~ spl66_37
| ~ spl66_167 ),
inference(forward_demodulation,[],[f12968,f813]) ).
fof(f12968,plain,
( e2 = e3
| e1 = e3
| e3 = op(e2,e1)
| e3 = op(e2,e0)
| ~ spl66_32
| ~ spl66_167 ),
inference(forward_demodulation,[],[f2407,f789]) ).
fof(f2407,plain,
( e1 = e3
| e3 = op(e2,e2)
| e3 = op(e2,e1)
| e3 = op(e2,e0)
| ~ spl66_167 ),
inference(forward_demodulation,[],[f539,f1434]) ).
fof(f12967,plain,
( spl66_190
| ~ spl66_167
| ~ spl66_181 ),
inference(avatar_split_clause,[],[f12960,f1568,f1433,f3071]) ).
fof(f12960,plain,
( e1 = op(e2,e1)
| ~ spl66_167
| ~ spl66_181 ),
inference(forward_demodulation,[],[f1434,f7256]) ).
fof(f7256,plain,
( e1 = e3
| ~ spl66_167
| ~ spl66_181 ),
inference(superposition,[],[f1434,f1570]) ).
fof(f12951,plain,
( spl66_175
| spl66_163
| spl66_2
| ~ spl66_32
| ~ spl66_37 ),
inference(avatar_split_clause,[],[f12877,f811,f787,f643,f1416,f1487]) ).
fof(f12877,plain,
( e0 = e2
| e0 = op(e2,e3)
| e0 = op(e2,e0)
| ~ spl66_32
| ~ spl66_37 ),
inference(duplicate_literal_removal,[],[f12876]) ).
fof(f12876,plain,
( e0 = e2
| e0 = e2
| e0 = op(e2,e3)
| e0 = op(e2,e0)
| ~ spl66_32
| ~ spl66_37 ),
inference(forward_demodulation,[],[f1955,f813]) ).
fof(f1955,plain,
( e0 = e2
| e0 = op(e2,e3)
| e0 = op(e2,e1)
| e0 = op(e2,e0)
| ~ spl66_32 ),
inference(forward_demodulation,[],[f533,f789]) ).
fof(f12949,plain,
( ~ spl66_34
| spl66_189 ),
inference(avatar_split_clause,[],[f327,f1800,f797]) ).
fof(f797,plain,
( spl66_34
<=> sP44 ),
introduced(avatar_definition,[new_symbols(naming,[spl66_34])]) ).
fof(f327,plain,
( e2 = op(e1,e2)
| ~ sP44 ),
inference(cnf_transformation,[],[f142]) ).
fof(f142,plain,
( ( e2 = op(e2,e1)
& e2 = op(e1,e2)
& e2 = op(e2,e2)
& e2 = op(e2,e2) )
| ~ sP44 ),
inference(nnf_transformation,[],[f98]) ).
fof(f98,plain,
( ( e2 = op(e2,e1)
& e2 = op(e1,e2)
& e2 = op(e2,e2)
& e2 = op(e2,e2) )
| ~ sP44 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP44])]) ).
fof(f12892,plain,
( ~ spl66_34
| spl66_6
| ~ spl66_161
| ~ spl66_195 ),
inference(avatar_split_clause,[],[f12891,f9319,f1407,f663,f797]) ).
fof(f12891,plain,
( e2 = e3
| ~ sP44
| ~ spl66_161
| ~ spl66_195 ),
inference(forward_demodulation,[],[f327,f11886]) ).
fof(f12890,plain,
( ~ spl66_23
| spl66_3
| ~ spl66_149 ),
inference(avatar_split_clause,[],[f12887,f1355,f648,f744]) ).
fof(f12887,plain,
( e0 = e3
| ~ sP53
| ~ spl66_149 ),
inference(forward_demodulation,[],[f292,f1356]) ).
fof(f12886,plain,
( ~ spl66_66
| spl66_3
| ~ spl66_22 ),
inference(avatar_split_clause,[],[f12834,f739,f648,f951]) ).
fof(f12834,plain,
( e0 = e3
| ~ sP18
| ~ spl66_22 ),
inference(forward_demodulation,[],[f430,f741]) ).
fof(f430,plain,
( e0 = op(e3,e0)
| ~ sP18 ),
inference(cnf_transformation,[],[f168]) ).
fof(f12874,plain,
( spl66_3
| ~ spl66_139
| ~ spl66_149
| ~ spl66_171 ),
inference(avatar_split_clause,[],[f12868,f1451,f1355,f1309,f648]) ).
fof(f12868,plain,
( e0 = e3
| ~ spl66_139
| ~ spl66_149
| ~ spl66_171 ),
inference(forward_demodulation,[],[f1356,f12819]) ).
fof(f12820,plain,
( spl66_157
| spl66_2
| spl66_3
| spl66_1
| ~ spl66_37
| ~ spl66_162
| ~ spl66_177 ),
inference(avatar_split_clause,[],[f12792,f1503,f1412,f811,f638,f648,f643,f1390]) ).
fof(f12792,plain,
( e0 = e1
| e0 = e3
| e0 = e2
| e0 = op(e3,e1)
| ~ spl66_37
| ~ spl66_162
| ~ spl66_177 ),
inference(forward_demodulation,[],[f8707,f1505]) ).
fof(f8707,plain,
( e0 = e3
| e0 = e2
| e0 = op(e3,e1)
| e0 = op(e0,e1)
| ~ spl66_37
| ~ spl66_162 ),
inference(forward_demodulation,[],[f6419,f1413]) ).
fof(f6419,plain,
( e0 = e2
| e0 = op(e3,e1)
| e0 = op(e1,e1)
| e0 = op(e0,e1)
| ~ spl66_37 ),
inference(forward_demodulation,[],[f526,f813]) ).
fof(f12818,plain,
( ~ spl66_72
| spl66_139
| ~ spl66_171 ),
inference(avatar_split_clause,[],[f6458,f1451,f1309,f979]) ).
fof(f6458,plain,
( e0 != op(e0,e2)
| spl66_139
| ~ spl66_171 ),
inference(superposition,[],[f1311,f1452]) ).
fof(f12790,plain,
( ~ spl66_40
| spl66_1
| ~ spl66_174 ),
inference(avatar_split_clause,[],[f12789,f1483,f638,f826]) ).
fof(f12789,plain,
( e0 = e1
| ~ sP39
| ~ spl66_174 ),
inference(forward_demodulation,[],[f348,f1485]) ).
fof(f348,plain,
( e1 = op(e1,e0)
| ~ sP39 ),
inference(cnf_transformation,[],[f147]) ).
fof(f12788,plain,
( ~ spl66_50
| spl66_1
| ~ spl66_157 ),
inference(avatar_split_clause,[],[f12787,f1390,f638,f874]) ).
fof(f12787,plain,
( e0 = e1
| ~ sP31
| ~ spl66_157 ),
inference(forward_demodulation,[],[f378,f1391]) ).
fof(f378,plain,
( e1 = op(e3,e1)
| ~ sP31 ),
inference(cnf_transformation,[],[f155]) ).
fof(f12786,plain,
( ~ spl66_74
| spl66_1
| ~ spl66_151 ),
inference(avatar_split_clause,[],[f12785,f1364,f638,f989]) ).
fof(f12785,plain,
( e0 = e1
| ~ sP12
| ~ spl66_151 ),
inference(forward_demodulation,[],[f454,f1365]) ).
fof(f12784,plain,
( ~ spl66_36
| spl66_1
| ~ spl66_157 ),
inference(avatar_split_clause,[],[f12783,f1390,f638,f807]) ).
fof(f12783,plain,
( e0 = e1
| ~ sP42
| ~ spl66_157 ),
inference(forward_demodulation,[],[f335,f1391]) ).
fof(f335,plain,
( e1 = op(e3,e1)
| ~ sP42 ),
inference(cnf_transformation,[],[f144]) ).
fof(f12782,plain,
( ~ spl66_25
| spl66_2
| ~ spl66_171 ),
inference(avatar_split_clause,[],[f12781,f1451,f643,f754]) ).
fof(f12781,plain,
( e0 = e2
| ~ sP51
| ~ spl66_171 ),
inference(forward_demodulation,[],[f300,f1452]) ).
fof(f12780,plain,
( ~ spl66_21
| spl66_3
| ~ spl66_22 ),
inference(avatar_split_clause,[],[f5269,f739,f648,f735]) ).
fof(f735,plain,
( spl66_21
<=> sP54 ),
introduced(avatar_definition,[new_symbols(naming,[spl66_21])]) ).
fof(f5269,plain,
( e0 = e3
| ~ sP54
| ~ spl66_22 ),
inference(forward_demodulation,[],[f287,f741]) ).
fof(f287,plain,
( e0 = op(e3,e0)
| ~ sP54 ),
inference(cnf_transformation,[],[f132]) ).
fof(f132,plain,
( ( e0 = op(e0,e3)
& e0 = op(e3,e0)
& e3 = op(e0,e3)
& e3 = op(e3,e0) )
| ~ sP54 ),
inference(nnf_transformation,[],[f108]) ).
fof(f108,plain,
( ( e0 = op(e0,e3)
& e0 = op(e3,e0)
& e3 = op(e0,e3)
& e3 = op(e3,e0) )
| ~ sP54 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP54])]) ).
fof(f12777,plain,
( ~ spl66_23
| spl66_1
| ~ spl66_151 ),
inference(avatar_split_clause,[],[f12776,f1364,f638,f744]) ).
fof(f12776,plain,
( e0 = e1
| ~ sP53
| ~ spl66_151 ),
inference(forward_demodulation,[],[f291,f1365]) ).
fof(f12775,plain,
( ~ spl66_24
| spl66_1
| ~ spl66_177 ),
inference(avatar_split_clause,[],[f12773,f1503,f638,f749]) ).
fof(f12773,plain,
( e0 = e1
| ~ sP52
| ~ spl66_177 ),
inference(forward_demodulation,[],[f296,f1505]) ).
fof(f296,plain,
( e0 = op(e0,e1)
| ~ sP52 ),
inference(cnf_transformation,[],[f134]) ).
fof(f12772,plain,
( ~ spl66_46
| spl66_6
| ~ spl66_165 ),
inference(avatar_split_clause,[],[f12770,f1425,f663,f855]) ).
fof(f12770,plain,
( e2 = e3
| ~ sP34
| ~ spl66_165 ),
inference(forward_demodulation,[],[f368,f1426]) ).
fof(f12769,plain,
( spl66_85
| spl66_84
| spl66_83
| spl66_81
| spl66_80
| spl66_79
| spl66_78
| spl66_76
| spl66_75
| spl66_74
| spl66_73
| spl66_71
| spl66_70
| spl66_69
| spl66_68
| spl66_66
| spl66_65
| spl66_64
| spl66_63
| spl66_61
| spl66_60
| spl66_59
| spl66_58
| spl66_56
| spl66_55
| spl66_54
| spl66_53
| spl66_51
| spl66_50
| spl66_49
| spl66_48
| spl66_46
| spl66_45
| spl66_44
| spl66_43
| spl66_41
| spl66_40
| spl66_39
| spl66_38
| spl66_36
| spl66_35
| spl66_34
| spl66_33
| spl66_31
| spl66_30
| spl66_29
| spl66_28
| spl66_26
| spl66_25
| spl66_24
| spl66_23
| spl66_21
| spl66_20
| spl66_19
| spl66_18
| spl66_16
| spl66_15
| spl66_14
| spl66_13
| spl66_11
| spl66_10
| spl66_9
| spl66_7
| spl66_6
| ~ spl66_165 ),
inference(avatar_split_clause,[],[f3850,f1425,f663,f668,f677,f682,f687,f696,f701,f706,f711,f720,f725,f730,f735,f744,f749,f754,f759,f768,f773,f778,f783,f792,f797,f802,f807,f816,f821,f826,f831,f840,f845,f850,f855,f864,f869,f874,f879,f888,f893,f898,f903,f912,f917,f922,f927,f936,f941,f946,f951,f960,f965,f970,f975,f984,f989,f994,f999,f1008,f1013,f1018,f1023,f1032,f1037,f1042]) ).
fof(f1042,plain,
( spl66_85
<=> sP3 ),
introduced(avatar_definition,[new_symbols(naming,[spl66_85])]) ).
fof(f1037,plain,
( spl66_84
<=> sP4 ),
introduced(avatar_definition,[new_symbols(naming,[spl66_84])]) ).
fof(f1023,plain,
( spl66_81
<=> sP6 ),
introduced(avatar_definition,[new_symbols(naming,[spl66_81])]) ).
fof(f994,plain,
( spl66_75
<=> sP11 ),
introduced(avatar_definition,[new_symbols(naming,[spl66_75])]) ).
fof(f984,plain,
( spl66_73
<=> sP13 ),
introduced(avatar_definition,[new_symbols(naming,[spl66_73])]) ).
fof(f970,plain,
( spl66_70
<=> sP15 ),
introduced(avatar_definition,[new_symbols(naming,[spl66_70])]) ).
fof(f941,plain,
( spl66_64
<=> sP20 ),
introduced(avatar_definition,[new_symbols(naming,[spl66_64])]) ).
fof(f917,plain,
( spl66_59
<=> sP24 ),
introduced(avatar_definition,[new_symbols(naming,[spl66_59])]) ).
fof(f869,plain,
( spl66_49
<=> sP32 ),
introduced(avatar_definition,[new_symbols(naming,[spl66_49])]) ).
fof(f840,plain,
( spl66_43
<=> sP37 ),
introduced(avatar_definition,[new_symbols(naming,[spl66_43])]) ).
fof(f816,plain,
( spl66_38
<=> sP41 ),
introduced(avatar_definition,[new_symbols(naming,[spl66_38])]) ).
fof(f802,plain,
( spl66_35
<=> sP43 ),
introduced(avatar_definition,[new_symbols(naming,[spl66_35])]) ).
fof(f792,plain,
( spl66_33
<=> sP45 ),
introduced(avatar_definition,[new_symbols(naming,[spl66_33])]) ).
fof(f783,plain,
( spl66_31
<=> sP46 ),
introduced(avatar_definition,[new_symbols(naming,[spl66_31])]) ).
fof(f768,plain,
( spl66_28
<=> sP49 ),
introduced(avatar_definition,[new_symbols(naming,[spl66_28])]) ).
fof(f725,plain,
( spl66_19
<=> sP56 ),
introduced(avatar_definition,[new_symbols(naming,[spl66_19])]) ).
fof(f711,plain,
( spl66_16
<=> sP58 ),
introduced(avatar_definition,[new_symbols(naming,[spl66_16])]) ).
fof(f687,plain,
( spl66_11
<=> sP62 ),
introduced(avatar_definition,[new_symbols(naming,[spl66_11])]) ).
fof(f682,plain,
( spl66_10
<=> sP63 ),
introduced(avatar_definition,[new_symbols(naming,[spl66_10])]) ).
fof(f677,plain,
( spl66_9
<=> sP64 ),
introduced(avatar_definition,[new_symbols(naming,[spl66_9])]) ).
fof(f668,plain,
( spl66_7
<=> sP65 ),
introduced(avatar_definition,[new_symbols(naming,[spl66_7])]) ).
fof(f3850,plain,
( e2 = e3
| sP65
| sP64
| sP63
| sP62
| sP61
| sP60
| sP59
| sP58
| sP57
| sP56
| sP55
| sP54
| sP53
| sP52
| sP51
| sP50
| sP49
| sP48
| sP47
| sP46
| sP45
| sP44
| sP43
| sP42
| sP41
| sP40
| sP39
| sP38
| sP37
| sP36
| sP35
| sP34
| sP33
| sP32
| sP31
| sP30
| sP29
| sP28
| sP27
| sP26
| sP25
| sP24
| sP23
| sP22
| sP21
| sP20
| sP19
| sP18
| sP17
| sP16
| sP15
| sP14
| sP13
| sP12
| sP11
| sP10
| sP9
| sP8
| sP7
| sP6
| sP5
| sP4
| sP3
| ~ spl66_165 ),
inference(forward_demodulation,[],[f516,f1426]) ).
fof(f516,plain,
( e3 = op(e3,e3)
| sP65
| sP64
| sP63
| sP62
| sP61
| sP60
| sP59
| sP58
| sP57
| sP56
| sP55
| sP54
| sP53
| sP52
| sP51
| sP50
| sP49
| sP48
| sP47
| sP46
| sP45
| sP44
| sP43
| sP42
| sP41
| sP40
| sP39
| sP38
| sP37
| sP36
| sP35
| sP34
| sP33
| sP32
| sP31
| sP30
| sP29
| sP28
| sP27
| sP26
| sP25
| sP24
| sP23
| sP22
| sP21
| sP20
| sP19
| sP18
| sP17
| sP16
| sP15
| sP14
| sP13
| sP12
| sP11
| sP10
| sP9
| sP8
| sP7
| sP6
| sP5
| sP4
| sP3 ),
inference(cnf_transformation,[],[f120]) ).
fof(f120,plain,
( ( ( e3 = op(e3,e3)
& e3 = op(e3,e3)
& e3 = op(e3,e3)
& e3 = op(e3,e3) )
| sP65
| sP64
| sP63
| sP62
| sP61
| sP60
| sP59
| sP58
| sP57
| sP56
| sP55
| sP54
| sP53
| sP52
| sP51
| sP50
| sP49
| sP48
| sP47
| sP46
| sP45
| sP44
| sP43
| sP42
| sP41
| sP40
| sP39
| sP38
| sP37
| sP36
| sP35
| sP34
| sP33
| sP32
| sP31
| sP30
| sP29
| sP28
| sP27
| sP26
| sP25
| sP24
| sP23
| sP22
| sP21
| sP20
| sP19
| sP18
| sP17
| sP16
| sP15
| sP14
| sP13
| sP12
| sP11
| sP10
| sP9
| sP8
| sP7
| sP6
| sP5
| sP4
| sP3 )
& ( ( e3 != op(e3,op(e3,e3))
& e2 != op(e3,op(e3,e2))
& e1 != op(e3,op(e3,e1))
& e0 != op(e3,op(e3,e0)) )
| sP2
| sP1
| sP0 )
& ( e3 = op(e3,e3)
| e2 = op(e2,e3)
| e1 = op(e1,e3)
| e0 = op(e0,e3) )
& ( e3 = op(e3,e2)
| e2 = op(e2,e2)
| e1 = op(e1,e2)
| e0 = op(e0,e2) )
& ( e3 = op(e3,e1)
| e2 = op(e2,e1)
| e1 = op(e1,e1)
| e0 = op(e0,e1) )
& ( e3 = op(e3,e0)
| e2 = op(e2,e0)
| e1 = op(e1,e0)
| e0 = op(e0,e0) ) ),
inference(definition_folding,[],[f5,f119,f118,f117,f116,f115,f114,f113,f112,f111,f110,f109,f108,f107,f106,f105,f104,f103,f102,f101,f100,f99,f98,f97,f96,f95,f94,f93,f92,f91,f90,f89,f88,f87,f86,f85,f84,f83,f82,f81,f80,f79,f78,f77,f76,f75,f74,f73,f72,f71,f70,f69,f68,f67,f66,f65,f64,f63,f62,f61,f60,f59,f58,f57,f56,f55,f54]) ).
fof(f57,plain,
( ( e0 = op(e0,e0)
& e0 = op(e0,e0)
& e0 = op(e0,e0)
& e0 = op(e0,e0) )
| ~ sP3 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP3])]) ).
fof(f58,plain,
( ( e0 = op(e0,e1)
& e0 = op(e1,e0)
& e0 = op(e0,e0)
& e0 = op(e0,e0) )
| ~ sP4 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP4])]) ).
fof(f60,plain,
( ( e0 = op(e0,e3)
& e0 = op(e3,e0)
& e0 = op(e0,e0)
& e0 = op(e0,e0) )
| ~ sP6 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP6])]) ).
fof(f65,plain,
( ( e2 = op(e2,e0)
& e2 = op(e0,e2)
& e0 = op(e2,e0)
& e0 = op(e0,e2) )
| ~ sP11 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP11])]) ).
fof(f67,plain,
( ( e2 = op(e2,e2)
& e2 = op(e2,e2)
& e0 = op(e2,e0)
& e0 = op(e0,e2) )
| ~ sP13 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP13])]) ).
fof(f69,plain,
( ( e3 = op(e3,e0)
& e3 = op(e0,e3)
& e0 = op(e3,e0)
& e0 = op(e0,e3) )
| ~ sP15 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP15])]) ).
fof(f74,plain,
( ( e0 = op(e0,e1)
& e0 = op(e1,e0)
& e1 = op(e0,e1)
& e1 = op(e1,e0) )
| ~ sP20 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP20])]) ).
fof(f78,plain,
( ( e1 = op(e1,e1)
& e1 = op(e1,e1)
& e1 = op(e1,e1)
& e1 = op(e1,e1) )
| ~ sP24 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP24])]) ).
fof(f86,plain,
( ( e3 = op(e3,e1)
& e3 = op(e1,e3)
& e1 = op(e3,e1)
& e1 = op(e1,e3) )
| ~ sP32 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP32])]) ).
fof(f91,plain,
( ( e0 = op(e0,e2)
& e0 = op(e2,e0)
& e2 = op(e0,e2)
& e2 = op(e2,e0) )
| ~ sP37 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP37])]) ).
fof(f95,plain,
( ( e1 = op(e1,e2)
& e1 = op(e2,e1)
& e2 = op(e1,e2)
& e2 = op(e2,e1) )
| ~ sP41 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP41])]) ).
fof(f97,plain,
( ( e2 = op(e2,e0)
& e2 = op(e0,e2)
& e2 = op(e2,e2)
& e2 = op(e2,e2) )
| ~ sP43 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP43])]) ).
fof(f99,plain,
( ( e2 = op(e2,e2)
& e2 = op(e2,e2)
& e2 = op(e2,e2)
& e2 = op(e2,e2) )
| ~ sP45 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP45])]) ).
fof(f100,plain,
( ( e2 = op(e2,e3)
& e2 = op(e3,e2)
& e2 = op(e2,e2)
& e2 = op(e2,e2) )
| ~ sP46 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP46])]) ).
fof(f103,plain,
( ( e3 = op(e3,e2)
& e3 = op(e2,e3)
& e2 = op(e3,e2)
& e2 = op(e2,e3) )
| ~ sP49 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP49])]) ).
fof(f110,plain,
( ( e1 = op(e1,e1)
& e1 = op(e1,e1)
& e3 = op(e1,e3)
& e3 = op(e3,e1) )
| ~ sP56 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP56])]) ).
fof(f112,plain,
( ( e1 = op(e1,e3)
& e1 = op(e3,e1)
& e3 = op(e1,e3)
& e3 = op(e3,e1) )
| ~ sP58 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP58])]) ).
fof(f116,plain,
( ( e2 = op(e2,e3)
& e2 = op(e3,e2)
& e3 = op(e2,e3)
& e3 = op(e3,e2) )
| ~ sP62 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP62])]) ).
fof(f117,plain,
( ( e3 = op(e3,e0)
& e3 = op(e0,e3)
& e3 = op(e3,e3)
& e3 = op(e3,e3) )
| ~ sP63 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP63])]) ).
fof(f118,plain,
( ( e3 = op(e3,e1)
& e3 = op(e1,e3)
& e3 = op(e3,e3)
& e3 = op(e3,e3) )
| ~ sP64 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP64])]) ).
fof(f119,plain,
( ( e3 = op(e3,e2)
& e3 = op(e2,e3)
& e3 = op(e3,e3)
& e3 = op(e3,e3) )
| ~ sP65 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP65])]) ).
fof(f5,axiom,
( ( ( e3 = op(e3,e3)
& e3 = op(e3,e3)
& e3 = op(e3,e3)
& e3 = op(e3,e3) )
| ( e3 = op(e3,e2)
& e3 = op(e2,e3)
& e3 = op(e3,e3)
& e3 = op(e3,e3) )
| ( e3 = op(e3,e1)
& e3 = op(e1,e3)
& e3 = op(e3,e3)
& e3 = op(e3,e3) )
| ( e3 = op(e3,e0)
& e3 = op(e0,e3)
& e3 = op(e3,e3)
& e3 = op(e3,e3) )
| ( e2 = op(e2,e3)
& e2 = op(e3,e2)
& e3 = op(e2,e3)
& e3 = op(e3,e2) )
| ( e2 = op(e2,e2)
& e2 = op(e2,e2)
& e3 = op(e2,e3)
& e3 = op(e3,e2) )
| ( e2 = op(e2,e1)
& e2 = op(e1,e2)
& e3 = op(e2,e3)
& e3 = op(e3,e2) )
| ( e2 = op(e2,e0)
& e2 = op(e0,e2)
& e3 = op(e2,e3)
& e3 = op(e3,e2) )
| ( e1 = op(e1,e3)
& e1 = op(e3,e1)
& e3 = op(e1,e3)
& e3 = op(e3,e1) )
| ( e1 = op(e1,e2)
& e1 = op(e2,e1)
& e3 = op(e1,e3)
& e3 = op(e3,e1) )
| ( e1 = op(e1,e1)
& e1 = op(e1,e1)
& e3 = op(e1,e3)
& e3 = op(e3,e1) )
| ( e1 = op(e1,e0)
& e1 = op(e0,e1)
& e3 = op(e1,e3)
& e3 = op(e3,e1) )
| ( e0 = op(e0,e3)
& e0 = op(e3,e0)
& e3 = op(e0,e3)
& e3 = op(e3,e0) )
| ( e0 = op(e0,e2)
& e0 = op(e2,e0)
& e3 = op(e0,e3)
& e3 = op(e3,e0) )
| ( e0 = op(e0,e1)
& e0 = op(e1,e0)
& e3 = op(e0,e3)
& e3 = op(e3,e0) )
| ( e0 = op(e0,e0)
& e0 = op(e0,e0)
& e3 = op(e0,e3)
& e3 = op(e3,e0) )
| ( e3 = op(e3,e3)
& e3 = op(e3,e3)
& e2 = op(e3,e2)
& e2 = op(e2,e3) )
| ( e3 = op(e3,e2)
& e3 = op(e2,e3)
& e2 = op(e3,e2)
& e2 = op(e2,e3) )
| ( e3 = op(e3,e1)
& e3 = op(e1,e3)
& e2 = op(e3,e2)
& e2 = op(e2,e3) )
| ( e3 = op(e3,e0)
& e3 = op(e0,e3)
& e2 = op(e3,e2)
& e2 = op(e2,e3) )
| ( e2 = op(e2,e3)
& e2 = op(e3,e2)
& e2 = op(e2,e2)
& e2 = op(e2,e2) )
| ( e2 = op(e2,e2)
& e2 = op(e2,e2)
& e2 = op(e2,e2)
& e2 = op(e2,e2) )
| ( e2 = op(e2,e1)
& e2 = op(e1,e2)
& e2 = op(e2,e2)
& e2 = op(e2,e2) )
| ( e2 = op(e2,e0)
& e2 = op(e0,e2)
& e2 = op(e2,e2)
& e2 = op(e2,e2) )
| ( e1 = op(e1,e3)
& e1 = op(e3,e1)
& e2 = op(e1,e2)
& e2 = op(e2,e1) )
| ( e1 = op(e1,e2)
& e1 = op(e2,e1)
& e2 = op(e1,e2)
& e2 = op(e2,e1) )
| ( e1 = op(e1,e1)
& e1 = op(e1,e1)
& e2 = op(e1,e2)
& e2 = op(e2,e1) )
| ( e1 = op(e1,e0)
& e1 = op(e0,e1)
& e2 = op(e1,e2)
& e2 = op(e2,e1) )
| ( e0 = op(e0,e3)
& e0 = op(e3,e0)
& e2 = op(e0,e2)
& e2 = op(e2,e0) )
| ( e0 = op(e0,e2)
& e0 = op(e2,e0)
& e2 = op(e0,e2)
& e2 = op(e2,e0) )
| ( e0 = op(e0,e1)
& e0 = op(e1,e0)
& e2 = op(e0,e2)
& e2 = op(e2,e0) )
| ( e0 = op(e0,e0)
& e0 = op(e0,e0)
& e2 = op(e0,e2)
& e2 = op(e2,e0) )
| ( e3 = op(e3,e3)
& e3 = op(e3,e3)
& e1 = op(e3,e1)
& e1 = op(e1,e3) )
| ( e3 = op(e3,e2)
& e3 = op(e2,e3)
& e1 = op(e3,e1)
& e1 = op(e1,e3) )
| ( e3 = op(e3,e1)
& e3 = op(e1,e3)
& e1 = op(e3,e1)
& e1 = op(e1,e3) )
| ( e3 = op(e3,e0)
& e3 = op(e0,e3)
& e1 = op(e3,e1)
& e1 = op(e1,e3) )
| ( e2 = op(e2,e3)
& e2 = op(e3,e2)
& e1 = op(e2,e1)
& e1 = op(e1,e2) )
| ( e2 = op(e2,e2)
& e2 = op(e2,e2)
& e1 = op(e2,e1)
& e1 = op(e1,e2) )
| ( e2 = op(e2,e1)
& e2 = op(e1,e2)
& e1 = op(e2,e1)
& e1 = op(e1,e2) )
| ( e2 = op(e2,e0)
& e2 = op(e0,e2)
& e1 = op(e2,e1)
& e1 = op(e1,e2) )
| ( e1 = op(e1,e3)
& e1 = op(e3,e1)
& e1 = op(e1,e1)
& e1 = op(e1,e1) )
| ( e1 = op(e1,e2)
& e1 = op(e2,e1)
& e1 = op(e1,e1)
& e1 = op(e1,e1) )
| ( e1 = op(e1,e1)
& e1 = op(e1,e1)
& e1 = op(e1,e1)
& e1 = op(e1,e1) )
| ( e1 = op(e1,e0)
& e1 = op(e0,e1)
& e1 = op(e1,e1)
& e1 = op(e1,e1) )
| ( e0 = op(e0,e3)
& e0 = op(e3,e0)
& e1 = op(e0,e1)
& e1 = op(e1,e0) )
| ( e0 = op(e0,e2)
& e0 = op(e2,e0)
& e1 = op(e0,e1)
& e1 = op(e1,e0) )
| ( e0 = op(e0,e1)
& e0 = op(e1,e0)
& e1 = op(e0,e1)
& e1 = op(e1,e0) )
| ( e0 = op(e0,e0)
& e0 = op(e0,e0)
& e1 = op(e0,e1)
& e1 = op(e1,e0) )
| ( e3 = op(e3,e3)
& e3 = op(e3,e3)
& e0 = op(e3,e0)
& e0 = op(e0,e3) )
| ( e3 = op(e3,e2)
& e3 = op(e2,e3)
& e0 = op(e3,e0)
& e0 = op(e0,e3) )
| ( e3 = op(e3,e1)
& e3 = op(e1,e3)
& e0 = op(e3,e0)
& e0 = op(e0,e3) )
| ( e3 = op(e3,e0)
& e3 = op(e0,e3)
& e0 = op(e3,e0)
& e0 = op(e0,e3) )
| ( e2 = op(e2,e3)
& e2 = op(e3,e2)
& e0 = op(e2,e0)
& e0 = op(e0,e2) )
| ( e2 = op(e2,e2)
& e2 = op(e2,e2)
& e0 = op(e2,e0)
& e0 = op(e0,e2) )
| ( e2 = op(e2,e1)
& e2 = op(e1,e2)
& e0 = op(e2,e0)
& e0 = op(e0,e2) )
| ( e2 = op(e2,e0)
& e2 = op(e0,e2)
& e0 = op(e2,e0)
& e0 = op(e0,e2) )
| ( e1 = op(e1,e3)
& e1 = op(e3,e1)
& e0 = op(e1,e0)
& e0 = op(e0,e1) )
| ( e1 = op(e1,e2)
& e1 = op(e2,e1)
& e0 = op(e1,e0)
& e0 = op(e0,e1) )
| ( e1 = op(e1,e1)
& e1 = op(e1,e1)
& e0 = op(e1,e0)
& e0 = op(e0,e1) )
| ( e1 = op(e1,e0)
& e1 = op(e0,e1)
& e0 = op(e1,e0)
& e0 = op(e0,e1) )
| ( e0 = op(e0,e3)
& e0 = op(e3,e0)
& e0 = op(e0,e0)
& e0 = op(e0,e0) )
| ( e0 = op(e0,e2)
& e0 = op(e2,e0)
& e0 = op(e0,e0)
& e0 = op(e0,e0) )
| ( e0 = op(e0,e1)
& e0 = op(e1,e0)
& e0 = op(e0,e0)
& e0 = op(e0,e0) )
| ( e0 = op(e0,e0)
& e0 = op(e0,e0)
& e0 = op(e0,e0)
& e0 = op(e0,e0) ) )
& ( ( e3 != op(e3,op(e3,e3))
& e2 != op(e3,op(e3,e2))
& e1 != op(e3,op(e3,e1))
& e0 != op(e3,op(e3,e0)) )
| ( e3 != op(e2,op(e2,e3))
& e2 != op(e2,op(e2,e2))
& e1 != op(e2,op(e2,e1))
& e0 != op(e2,op(e2,e0)) )
| ( e3 != op(e1,op(e1,e3))
& e2 != op(e1,op(e1,e2))
& e1 != op(e1,op(e1,e1))
& e0 != op(e1,op(e1,e0)) )
| ( e3 != op(e0,op(e0,e3))
& e2 != op(e0,op(e0,e2))
& e1 != op(e0,op(e0,e1))
& e0 != op(e0,op(e0,e0)) ) )
& ( e3 = op(e3,e3)
| e2 = op(e2,e3)
| e1 = op(e1,e3)
| e0 = op(e0,e3) )
& ( e3 = op(e3,e2)
| e2 = op(e2,e2)
| e1 = op(e1,e2)
| e0 = op(e0,e2) )
& ( e3 = op(e3,e1)
| e2 = op(e2,e1)
| e1 = op(e1,e1)
| e0 = op(e0,e1) )
& ( e3 = op(e3,e0)
| e2 = op(e2,e0)
| e1 = op(e1,e0)
| e0 = op(e0,e0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax5) ).
fof(f12767,plain,
( ~ spl66_27
| spl66_109
| ~ spl66_165 ),
inference(avatar_split_clause,[],[f4778,f1425,f1162,f763]) ).
fof(f1162,plain,
( spl66_109
<=> op(e2,e3) = op(e3,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl66_109])]) ).
fof(f4778,plain,
( e2 != op(e2,e3)
| spl66_109
| ~ spl66_165 ),
inference(superposition,[],[f1164,f1426]) ).
fof(f1164,plain,
( op(e2,e3) != op(e3,e3)
| spl66_109 ),
inference(avatar_component_clause,[],[f1162]) ).
fof(f12758,plain,
( spl66_151
| spl66_156
| spl66_4
| spl66_1
| ~ spl66_37
| ~ spl66_163 ),
inference(avatar_split_clause,[],[f12737,f1416,f811,f638,f653,f1386,f1364]) ).
fof(f12737,plain,
( e0 = e1
| e1 = e2
| e1 = op(e2,e2)
| e1 = op(e2,e0)
| ~ spl66_37
| ~ spl66_163 ),
inference(forward_demodulation,[],[f2911,f1417]) ).
fof(f2911,plain,
( e1 = e2
| e1 = op(e2,e3)
| e1 = op(e2,e2)
| e1 = op(e2,e0)
| ~ spl66_37 ),
inference(forward_demodulation,[],[f535,f813]) ).
fof(f12749,plain,
( spl66_173
| spl66_153
| spl66_3
| spl66_6
| ~ spl66_37
| ~ spl66_163 ),
inference(avatar_split_clause,[],[f9023,f1416,f811,f663,f648,f1373,f1459]) ).
fof(f9023,plain,
( e2 = e3
| e0 = e3
| e3 = op(e2,e2)
| e3 = op(e2,e0)
| ~ spl66_37
| ~ spl66_163 ),
inference(forward_demodulation,[],[f4275,f813]) ).
fof(f12736,plain,
( spl66_5
| spl66_6
| spl66_3
| ~ spl66_72
| ~ spl66_156
| ~ spl66_172
| ~ spl66_189 ),
inference(avatar_split_clause,[],[f12647,f1800,f1455,f1386,f979,f648,f663,f658]) ).
fof(f12647,plain,
( e0 = e3
| e2 = e3
| e1 = e3
| ~ spl66_72
| ~ spl66_156
| ~ spl66_172
| ~ spl66_189 ),
inference(forward_demodulation,[],[f12646,f981]) ).
fof(f12646,plain,
( e2 = e3
| e1 = e3
| e3 = op(e0,e2)
| ~ spl66_156
| ~ spl66_172
| ~ spl66_189 ),
inference(forward_demodulation,[],[f12616,f1802]) ).
fof(f12616,plain,
( e1 = e3
| e3 = op(e1,e2)
| e3 = op(e0,e2)
| ~ spl66_156
| ~ spl66_172 ),
inference(duplicate_literal_removal,[],[f8441]) ).
fof(f8441,plain,
( e1 = e3
| e1 = e3
| e3 = op(e1,e2)
| e3 = op(e0,e2)
| ~ spl66_156
| ~ spl66_172 ),
inference(forward_demodulation,[],[f7708,f1456]) ).
fof(f7708,plain,
( e1 = e3
| e3 = op(e3,e2)
| e3 = op(e1,e2)
| e3 = op(e0,e2)
| ~ spl66_156 ),
inference(forward_demodulation,[],[f540,f1387]) ).
fof(f12732,plain,
( ~ spl66_152
| spl66_106
| ~ spl66_165 ),
inference(avatar_split_clause,[],[f3858,f1425,f1147,f1368]) ).
fof(f1147,plain,
( spl66_106
<=> op(e0,e3) = op(e3,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl66_106])]) ).
fof(f3858,plain,
( e2 != op(e0,e3)
| spl66_106
| ~ spl66_165 ),
inference(superposition,[],[f1149,f1426]) ).
fof(f1149,plain,
( op(e0,e3) != op(e3,e3)
| spl66_106 ),
inference(avatar_component_clause,[],[f1147]) ).
fof(f12612,plain,
( spl66_47
| spl66_1
| spl66_4
| ~ spl66_27
| ~ spl66_150
| ~ spl66_152 ),
inference(avatar_split_clause,[],[f12508,f1368,f1360,f763,f653,f638,f859]) ).
fof(f12508,plain,
( e1 = e2
| e0 = e1
| e1 = op(e1,e3)
| ~ spl66_27
| ~ spl66_150
| ~ spl66_152 ),
inference(duplicate_literal_removal,[],[f12507]) ).
fof(f12507,plain,
( e1 = e2
| e0 = e1
| e1 = e2
| e1 = op(e1,e3)
| ~ spl66_27
| ~ spl66_150
| ~ spl66_152 ),
inference(forward_demodulation,[],[f12428,f1369]) ).
fof(f12428,plain,
( e0 = e1
| e1 = e2
| e1 = op(e1,e3)
| e1 = op(e0,e3)
| ~ spl66_27
| ~ spl66_150 ),
inference(forward_demodulation,[],[f2168,f1361]) ).
fof(f2168,plain,
( e1 = e2
| e1 = op(e3,e3)
| e1 = op(e1,e3)
| e1 = op(e0,e3)
| ~ spl66_27 ),
inference(forward_demodulation,[],[f544,f765]) ).
fof(f12610,plain,
( ~ spl66_175
| spl66_135
| ~ spl66_175 ),
inference(avatar_split_clause,[],[f2661,f1487,f1291,f1487]) ).
fof(f2661,plain,
( e0 != op(e2,e0)
| spl66_135
| ~ spl66_175 ),
inference(superposition,[],[f1293,f1489]) ).
fof(f12588,plain,
( spl66_3
| spl66_6
| ~ spl66_27
| ~ spl66_150
| ~ spl66_152
| ~ spl66_161 ),
inference(avatar_split_clause,[],[f12560,f1407,f1368,f1360,f763,f663,f648]) ).
fof(f12560,plain,
( e2 = e3
| e0 = e3
| ~ spl66_27
| ~ spl66_150
| ~ spl66_152
| ~ spl66_161 ),
inference(duplicate_literal_removal,[],[f12559]) ).
fof(f12559,plain,
( e2 = e3
| e2 = e3
| e0 = e3
| ~ spl66_27
| ~ spl66_150
| ~ spl66_152
| ~ spl66_161 ),
inference(forward_demodulation,[],[f12558,f1369]) ).
fof(f12558,plain,
( e2 = e3
| e0 = e3
| e3 = op(e0,e3)
| ~ spl66_27
| ~ spl66_150
| ~ spl66_161 ),
inference(duplicate_literal_removal,[],[f12557]) ).
fof(f12557,plain,
( e2 = e3
| e0 = e3
| e2 = e3
| e3 = op(e0,e3)
| ~ spl66_27
| ~ spl66_150
| ~ spl66_161 ),
inference(forward_demodulation,[],[f6900,f765]) ).
fof(f6900,plain,
( e0 = e3
| e2 = e3
| e3 = op(e2,e3)
| e3 = op(e0,e3)
| ~ spl66_150
| ~ spl66_161 ),
inference(forward_demodulation,[],[f5021,f1361]) ).
fof(f5021,plain,
( e2 = e3
| e3 = op(e3,e3)
| e3 = op(e2,e3)
| e3 = op(e0,e3)
| ~ spl66_161 ),
inference(forward_demodulation,[],[f548,f1408]) ).
fof(f12586,plain,
( ~ spl66_144
| ~ spl66_62
| spl66_137 ),
inference(avatar_split_clause,[],[f12305,f1300,f931,f1334]) ).
fof(f12305,plain,
( e0 != op(e1,e1)
| ~ spl66_62
| spl66_137 ),
inference(forward_demodulation,[],[f1302,f933]) ).
fof(f12554,plain,
( spl66_4
| ~ spl66_62
| ~ spl66_166
| ~ spl66_192 ),
inference(avatar_split_clause,[],[f12519,f7843,f1429,f931,f653]) ).
fof(f12519,plain,
( e1 = e2
| ~ spl66_62
| ~ spl66_166
| ~ spl66_192 ),
inference(forward_demodulation,[],[f10315,f933]) ).
fof(f10315,plain,
( e2 = op(e1,e0)
| ~ spl66_166
| ~ spl66_192 ),
inference(superposition,[],[f7844,f1430]) ).
fof(f12496,plain,
( spl66_3
| spl66_6
| ~ spl66_27
| ~ spl66_150
| ~ spl66_152
| ~ spl66_179 ),
inference(avatar_split_clause,[],[f12423,f1535,f1368,f1360,f763,f663,f648]) ).
fof(f12423,plain,
( e2 = e3
| e0 = e3
| ~ spl66_27
| ~ spl66_150
| ~ spl66_152
| ~ spl66_179 ),
inference(duplicate_literal_removal,[],[f12422]) ).
fof(f12422,plain,
( e2 = e3
| e0 = e3
| e2 = e3
| ~ spl66_27
| ~ spl66_150
| ~ spl66_152
| ~ spl66_179 ),
inference(forward_demodulation,[],[f12421,f1369]) ).
fof(f12421,plain,
( e0 = e3
| e2 = e3
| e3 = op(e0,e3)
| ~ spl66_27
| ~ spl66_150
| ~ spl66_179 ),
inference(duplicate_literal_removal,[],[f12420]) ).
fof(f12420,plain,
( e0 = e3
| e0 = e3
| e2 = e3
| e3 = op(e0,e3)
| ~ spl66_27
| ~ spl66_150
| ~ spl66_179 ),
inference(forward_demodulation,[],[f8102,f1537]) ).
fof(f8102,plain,
( e0 = e3
| e2 = e3
| e3 = op(e1,e3)
| e3 = op(e0,e3)
| ~ spl66_27
| ~ spl66_150 ),
inference(forward_demodulation,[],[f1572,f1361]) ).
fof(f12494,plain,
( ~ spl66_157
| ~ spl66_152
| ~ spl66_162 ),
inference(avatar_split_clause,[],[f12391,f1412,f1368,f1390]) ).
fof(f12391,plain,
( e0 != op(e3,e1)
| ~ spl66_152
| ~ spl66_162 ),
inference(trivial_inequality_removal,[],[f12390]) ).
fof(f12390,plain,
( e2 != e2
| e0 != op(e3,e1)
| ~ spl66_152
| ~ spl66_162 ),
inference(forward_demodulation,[],[f11679,f1369]) ).
fof(f11679,plain,
( e0 != op(e3,e1)
| e2 != op(e0,e3)
| ~ spl66_162 ),
inference(trivial_inequality_removal,[],[f9082]) ).
fof(f9082,plain,
( e3 != e3
| e0 != op(e3,e1)
| e2 != op(e0,e3)
| ~ spl66_162 ),
inference(forward_demodulation,[],[f614,f1413]) ).
fof(f614,plain,
( e0 != op(e3,e1)
| e2 != op(e0,e3)
| e3 != op(e1,e1) ),
inference(inner_rewriting,[],[f613]) ).
fof(f613,plain,
( e0 != op(op(e1,e1),e1)
| e2 != op(e0,op(e1,e1))
| e3 != op(e1,e1) ),
inference(inner_rewriting,[],[f577]) ).
fof(f577,plain,
( e0 != op(op(e1,e1),e1)
| e2 != op(op(op(e1,e1),e1),op(e1,e1))
| e3 != op(e1,e1) ),
inference(cnf_transformation,[],[f42]) ).
fof(f42,plain,
( e0 != op(op(e1,e1),e1)
| e2 != op(op(op(e1,e1),e1),op(e1,e1))
| e3 != op(e1,e1) ),
inference(ennf_transformation,[],[f27]) ).
fof(f27,axiom,
~ ( e0 = op(op(e1,e1),e1)
& e2 = op(op(op(e1,e1),e1),op(e1,e1))
& e3 = op(e1,e1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax27) ).
fof(f12444,plain,
( ~ spl66_138
| ~ spl66_177 ),
inference(avatar_split_clause,[],[f11149,f1503,f1305]) ).
fof(f11149,plain,
( ~ sP0
| ~ spl66_177 ),
inference(trivial_inequality_removal,[],[f9183]) ).
fof(f12370,plain,
( spl66_4
| ~ spl66_152
| ~ spl66_154 ),
inference(avatar_split_clause,[],[f12178,f1377,f1368,f653]) ).
fof(f12178,plain,
( e1 = e2
| ~ spl66_152
| ~ spl66_154 ),
inference(forward_demodulation,[],[f1369,f1378]) ).
fof(f12306,plain,
( spl66_5
| ~ spl66_158
| ~ spl66_188
| ~ spl66_197 ),
inference(avatar_split_clause,[],[f12167,f11032,f1796,f1394,f658]) ).
fof(f12167,plain,
( e1 = e3
| ~ spl66_158
| ~ spl66_188
| ~ spl66_197 ),
inference(forward_demodulation,[],[f1395,f11599]) ).
fof(f12219,plain,
( spl66_2
| ~ spl66_62
| ~ spl66_137
| ~ spl66_188 ),
inference(avatar_split_clause,[],[f12073,f1796,f1300,f931,f643]) ).
fof(f12073,plain,
( e0 = e2
| ~ spl66_62
| ~ spl66_137
| ~ spl66_188 ),
inference(forward_demodulation,[],[f1798,f12052]) ).
fof(f12058,plain,
( ~ spl66_74
| spl66_37 ),
inference(avatar_split_clause,[],[f456,f811,f989]) ).
fof(f456,plain,
( e2 = op(e2,e1)
| ~ sP12 ),
inference(cnf_transformation,[],[f174]) ).
fof(f12039,plain,
( ~ spl66_19
| spl66_57 ),
inference(avatar_split_clause,[],[f280,f907,f725]) ).
fof(f280,plain,
( e1 = op(e1,e1)
| ~ sP56 ),
inference(cnf_transformation,[],[f130]) ).
fof(f130,plain,
( ( e1 = op(e1,e1)
& e1 = op(e1,e1)
& e3 = op(e1,e3)
& e3 = op(e3,e1) )
| ~ sP56 ),
inference(nnf_transformation,[],[f110]) ).
fof(f12037,plain,
( ~ spl66_164
| spl66_142
| ~ spl66_172 ),
inference(avatar_split_clause,[],[f11857,f1455,f1324,f1420]) ).
fof(f11857,plain,
( e2 != op(e3,e1)
| spl66_142
| ~ spl66_172 ),
inference(forward_demodulation,[],[f1326,f1456]) ).
fof(f11990,plain,
( ~ spl66_19
| spl66_1
| ~ spl66_62
| ~ spl66_137 ),
inference(avatar_split_clause,[],[f11989,f1300,f931,f638,f725]) ).
fof(f11989,plain,
( e0 = e1
| ~ sP56
| ~ spl66_62
| ~ spl66_137 ),
inference(forward_demodulation,[],[f280,f11122]) ).
fof(f11122,plain,
( e0 = op(e1,e1)
| ~ spl66_62
| ~ spl66_137 ),
inference(forward_demodulation,[],[f1301,f933]) ).
fof(f11988,plain,
( ~ spl66_74
| spl66_2
| ~ spl66_160 ),
inference(avatar_split_clause,[],[f11987,f1403,f643,f989]) ).
fof(f11987,plain,
( e0 = e2
| ~ sP12
| ~ spl66_160 ),
inference(forward_demodulation,[],[f456,f1404]) ).
fof(f11985,plain,
( ~ spl66_18
| spl66_4
| ~ spl66_189 ),
inference(avatar_split_clause,[],[f11945,f1800,f653,f720]) ).
fof(f11945,plain,
( e1 = e2
| ~ sP57
| ~ spl66_189 ),
inference(forward_demodulation,[],[f276,f1802]) ).
fof(f11944,plain,
( spl66_148
| spl66_5
| spl66_4
| spl66_1
| ~ spl66_42
| ~ spl66_174
| ~ spl66_185 ),
inference(avatar_split_clause,[],[f9109,f1770,f1483,f835,f638,f653,f658,f1351]) ).
fof(f9109,plain,
( e0 = e1
| e1 = e2
| e1 = e3
| e1 = op(e3,e0)
| ~ spl66_42
| ~ spl66_174
| ~ spl66_185 ),
inference(forward_demodulation,[],[f7433,f1485]) ).
fof(f7433,plain,
( e1 = e2
| e1 = e3
| e1 = op(e3,e0)
| e1 = op(e1,e0)
| ~ spl66_42
| ~ spl66_185 ),
inference(forward_demodulation,[],[f7155,f837]) ).
fof(f7155,plain,
( e1 = e3
| e1 = op(e3,e0)
| e1 = op(e2,e0)
| e1 = op(e1,e0)
| ~ spl66_185 ),
inference(forward_demodulation,[],[f520,f1772]) ).
fof(f11911,plain,
( spl66_32
| spl66_4
| spl66_6
| spl66_2
| ~ spl66_72
| ~ spl66_158
| ~ spl66_172 ),
inference(avatar_split_clause,[],[f7578,f1455,f1394,f979,f643,f663,f653,f787]) ).
fof(f7578,plain,
( e0 = e2
| e2 = e3
| e1 = e2
| e2 = op(e2,e2)
| ~ spl66_72
| ~ spl66_158
| ~ spl66_172 ),
inference(forward_demodulation,[],[f7577,f981]) ).
fof(f7577,plain,
( e2 = e3
| e1 = e2
| e2 = op(e2,e2)
| e2 = op(e0,e2)
| ~ spl66_158
| ~ spl66_172 ),
inference(forward_demodulation,[],[f2026,f1395]) ).
fof(f2026,plain,
( e1 = e2
| e2 = op(e2,e2)
| e2 = op(e1,e2)
| e2 = op(e0,e2)
| ~ spl66_172 ),
inference(forward_demodulation,[],[f538,f1456]) ).
fof(f11895,plain,
( spl66_167
| spl66_5
| spl66_4
| ~ spl66_32
| ~ spl66_42
| ~ spl66_169 ),
inference(avatar_split_clause,[],[f11771,f1442,f835,f787,f653,f658,f1433]) ).
fof(f11771,plain,
( e1 = e2
| e1 = e3
| e1 = op(e2,e3)
| ~ spl66_32
| ~ spl66_42
| ~ spl66_169 ),
inference(duplicate_literal_removal,[],[f11770]) ).
fof(f11770,plain,
( e1 = e2
| e1 = e3
| e1 = e2
| e1 = op(e2,e3)
| ~ spl66_32
| ~ spl66_42
| ~ spl66_169 ),
inference(forward_demodulation,[],[f5765,f837]) ).
fof(f5765,plain,
( e1 = e3
| e1 = e2
| e1 = op(e2,e3)
| e1 = op(e2,e0)
| ~ spl66_32
| ~ spl66_169 ),
inference(forward_demodulation,[],[f1959,f1443]) ).
fof(f11893,plain,
( ~ spl66_174
| spl66_137
| ~ spl66_174 ),
inference(avatar_split_clause,[],[f7358,f1483,f1300,f1483]) ).
fof(f7358,plain,
( e0 != op(e1,e0)
| spl66_137
| ~ spl66_174 ),
inference(superposition,[],[f1302,f1485]) ).
fof(f11892,plain,
( ~ spl66_138
| ~ spl66_198 ),
inference(avatar_split_clause,[],[f503,f11889,f1305]) ).
fof(f11882,plain,
( spl66_155
| ~ spl66_140
| ~ spl66_145 ),
inference(avatar_split_clause,[],[f11796,f1338,f1314,f1381]) ).
fof(f11796,plain,
( e0 = op(e3,e2)
| ~ spl66_140
| ~ spl66_145 ),
inference(forward_demodulation,[],[f1315,f1339]) ).
fof(f1339,plain,
( e2 = op(e3,e0)
| ~ spl66_145 ),
inference(avatar_component_clause,[],[f1338]) ).
fof(f11847,plain,
( spl66_2
| ~ spl66_157
| ~ spl66_164 ),
inference(avatar_split_clause,[],[f11379,f1420,f1390,f643]) ).
fof(f11379,plain,
( e0 = e2
| ~ spl66_157
| ~ spl66_164 ),
inference(superposition,[],[f1391,f1421]) ).
fof(f11745,plain,
( spl66_149
| spl66_5
| spl66_6
| ~ spl66_32
| ~ spl66_172
| ~ spl66_189 ),
inference(avatar_split_clause,[],[f11687,f1800,f1455,f787,f663,f658,f1355]) ).
fof(f11687,plain,
( e2 = e3
| e1 = e3
| e3 = op(e0,e2)
| ~ spl66_32
| ~ spl66_172
| ~ spl66_189 ),
inference(duplicate_literal_removal,[],[f11686]) ).
fof(f11686,plain,
( e2 = e3
| e2 = e3
| e1 = e3
| e3 = op(e0,e2)
| ~ spl66_32
| ~ spl66_172
| ~ spl66_189 ),
inference(forward_demodulation,[],[f11478,f1802]) ).
fof(f11478,plain,
( e2 = e3
| e1 = e3
| e3 = op(e1,e2)
| e3 = op(e0,e2)
| ~ spl66_32
| ~ spl66_172 ),
inference(forward_demodulation,[],[f9962,f789]) ).
fof(f11678,plain,
( spl66_155
| spl66_3
| spl66_2
| ~ spl66_32
| ~ spl66_149
| ~ spl66_189 ),
inference(avatar_split_clause,[],[f11655,f1800,f1355,f787,f643,f648,f1381]) ).
fof(f11655,plain,
( e0 = e2
| e0 = e3
| e0 = op(e3,e2)
| ~ spl66_32
| ~ spl66_149
| ~ spl66_189 ),
inference(duplicate_literal_removal,[],[f11654]) ).
fof(f11654,plain,
( e0 = e2
| e0 = e2
| e0 = e3
| e0 = op(e3,e2)
| ~ spl66_32
| ~ spl66_149
| ~ spl66_189 ),
inference(forward_demodulation,[],[f5689,f1802]) ).
fof(f5689,plain,
( e0 = e2
| e0 = e3
| e0 = op(e3,e2)
| e0 = op(e1,e2)
| ~ spl66_32
| ~ spl66_149 ),
inference(forward_demodulation,[],[f2042,f789]) ).
fof(f11640,plain,
( spl66_158
| spl66_5
| spl66_6
| ~ spl66_32
| ~ spl66_172
| ~ spl66_183 ),
inference(avatar_split_clause,[],[f11634,f1603,f1455,f787,f663,f658,f1394]) ).
fof(f11634,plain,
( e2 = e3
| e1 = e3
| e3 = op(e1,e2)
| ~ spl66_32
| ~ spl66_172
| ~ spl66_183 ),
inference(duplicate_literal_removal,[],[f11633]) ).
fof(f11633,plain,
( e2 = e3
| e2 = e3
| e1 = e3
| e3 = op(e1,e2)
| ~ spl66_32
| ~ spl66_172
| ~ spl66_183 ),
inference(forward_demodulation,[],[f8629,f1605]) ).
fof(f8629,plain,
( e2 = e3
| e1 = e3
| e3 = op(e1,e2)
| e3 = op(e0,e2)
| ~ spl66_32
| ~ spl66_172 ),
inference(forward_demodulation,[],[f2155,f789]) ).
fof(f2155,plain,
( e1 = e3
| e3 = op(e2,e2)
| e3 = op(e1,e2)
| e3 = op(e0,e2)
| ~ spl66_172 ),
inference(forward_demodulation,[],[f540,f1456]) ).
fof(f11630,plain,
( spl66_6
| spl66_5
| ~ spl66_32
| ~ spl66_172
| ~ spl66_183
| ~ spl66_188
| ~ spl66_197 ),
inference(avatar_split_clause,[],[f11616,f11032,f1796,f1603,f1455,f787,f658,f663]) ).
fof(f11616,plain,
( e1 = e3
| e2 = e3
| ~ spl66_32
| ~ spl66_172
| ~ spl66_183
| ~ spl66_188
| ~ spl66_197 ),
inference(duplicate_literal_removal,[],[f11615]) ).
fof(f11615,plain,
( e1 = e3
| e2 = e3
| e1 = e3
| ~ spl66_32
| ~ spl66_172
| ~ spl66_183
| ~ spl66_188
| ~ spl66_197 ),
inference(forward_demodulation,[],[f11498,f11599]) ).
fof(f11498,plain,
( e2 = e3
| e1 = e3
| e3 = op(e1,e2)
| ~ spl66_32
| ~ spl66_172
| ~ spl66_183 ),
inference(duplicate_literal_removal,[],[f11497]) ).
fof(f11497,plain,
( e2 = e3
| e1 = e3
| e2 = e3
| e3 = op(e1,e2)
| ~ spl66_32
| ~ spl66_172
| ~ spl66_183 ),
inference(forward_demodulation,[],[f11496,f789]) ).
fof(f11496,plain,
( e1 = e3
| e2 = e3
| e3 = op(e2,e2)
| e3 = op(e1,e2)
| ~ spl66_172
| ~ spl66_183 ),
inference(forward_demodulation,[],[f9702,f1456]) ).
fof(f11601,plain,
( spl66_5
| spl66_6
| spl66_3
| ~ spl66_32
| ~ spl66_166
| ~ spl66_172
| ~ spl66_183 ),
inference(avatar_split_clause,[],[f11490,f1603,f1455,f1429,f787,f648,f663,f658]) ).
fof(f11490,plain,
( e0 = e3
| e2 = e3
| e1 = e3
| ~ spl66_32
| ~ spl66_166
| ~ spl66_172
| ~ spl66_183 ),
inference(forward_demodulation,[],[f8683,f1430]) ).
fof(f8683,plain,
( e2 = e3
| e1 = e3
| e3 = op(e1,e2)
| ~ spl66_32
| ~ spl66_172
| ~ spl66_183 ),
inference(duplicate_literal_removal,[],[f8682]) ).
fof(f8682,plain,
( e2 = e3
| e2 = e3
| e1 = e3
| e3 = op(e1,e2)
| ~ spl66_32
| ~ spl66_172
| ~ spl66_183 ),
inference(forward_demodulation,[],[f2780,f789]) ).
fof(f2780,plain,
( e2 = e3
| e1 = e3
| e3 = op(e2,e2)
| e3 = op(e1,e2)
| ~ spl66_172
| ~ spl66_183 ),
inference(forward_demodulation,[],[f2155,f1605]) ).
fof(f11596,plain,
( ~ spl66_182
| spl66_92
| ~ spl66_188 ),
inference(avatar_split_clause,[],[f8207,f1796,f1077,f1599]) ).
fof(f8207,plain,
( e2 != op(e0,e1)
| spl66_92
| ~ spl66_188 ),
inference(superposition,[],[f1079,f1798]) ).
fof(f11594,plain,
( ~ spl66_164
| spl66_142
| ~ spl66_172 ),
inference(avatar_split_clause,[],[f11423,f1455,f1324,f1420]) ).
fof(f11423,plain,
( e2 != op(e3,e1)
| spl66_142
| ~ spl66_172 ),
inference(forward_demodulation,[],[f1326,f1456]) ).
fof(f11464,plain,
( ~ spl66_57
| ~ spl66_57
| spl66_197 ),
inference(avatar_split_clause,[],[f11376,f11032,f907,f907]) ).
fof(f11376,plain,
( e1 != op(e1,e1)
| ~ spl66_57
| spl66_197 ),
inference(superposition,[],[f11034,f909]) ).
fof(f11462,plain,
( ~ spl66_177
| ~ spl66_57
| spl66_92 ),
inference(avatar_split_clause,[],[f11373,f1077,f907,f1503]) ).
fof(f11373,plain,
( e1 != op(e0,e1)
| ~ spl66_57
| spl66_92 ),
inference(superposition,[],[f1079,f909]) ).
fof(f11460,plain,
( ~ spl66_178
| spl66_100
| ~ spl66_172 ),
inference(avatar_split_clause,[],[f11264,f1455,f1117,f1507]) ).
fof(f1117,plain,
( spl66_100
<=> op(e0,e2) = op(e3,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl66_100])]) ).
fof(f11264,plain,
( e1 != op(e0,e2)
| spl66_100
| ~ spl66_172 ),
inference(superposition,[],[f1119,f1456]) ).
fof(f1119,plain,
( op(e0,e2) != op(e3,e2)
| spl66_100 ),
inference(avatar_component_clause,[],[f1117]) ).
fof(f11458,plain,
( ~ spl66_162
| spl66_95
| ~ spl66_169 ),
inference(avatar_split_clause,[],[f11258,f1442,f1092,f1412]) ).
fof(f1092,plain,
( spl66_95
<=> op(e1,e1) = op(e2,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl66_95])]) ).
fof(f11258,plain,
( e3 != op(e1,e1)
| spl66_95
| ~ spl66_169 ),
inference(superposition,[],[f1094,f1443]) ).
fof(f1094,plain,
( op(e1,e1) != op(e2,e1)
| spl66_95 ),
inference(avatar_component_clause,[],[f1092]) ).
fof(f11456,plain,
( ~ spl66_144
| spl66_119
| ~ spl66_166 ),
inference(avatar_split_clause,[],[f10835,f1429,f1212,f1334]) ).
fof(f1212,plain,
( spl66_119
<=> op(e1,e1) = op(e1,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl66_119])]) ).
fof(f10835,plain,
( e0 != op(e1,e1)
| spl66_119
| ~ spl66_166 ),
inference(superposition,[],[f1214,f1430]) ).
fof(f1214,plain,
( op(e1,e1) != op(e1,e2)
| spl66_119 ),
inference(avatar_component_clause,[],[f1212]) ).
fof(f11454,plain,
( ~ spl66_158
| ~ spl66_161
| spl66_195 ),
inference(avatar_split_clause,[],[f10831,f9319,f1407,f1394]) ).
fof(f10831,plain,
( e3 != op(e1,e2)
| ~ spl66_161
| spl66_195 ),
inference(superposition,[],[f9321,f1408]) ).
fof(f11452,plain,
( ~ spl66_62
| spl66_89
| ~ spl66_151 ),
inference(avatar_split_clause,[],[f9513,f1364,f1062,f931]) ).
fof(f1062,plain,
( spl66_89
<=> op(e1,e0) = op(e2,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl66_89])]) ).
fof(f9513,plain,
( e1 != op(e1,e0)
| spl66_89
| ~ spl66_151 ),
inference(superposition,[],[f1064,f1365]) ).
fof(f1064,plain,
( op(e1,e0) != op(e2,e0)
| spl66_89 ),
inference(avatar_component_clause,[],[f1062]) ).
fof(f11450,plain,
( ~ spl66_32
| ~ spl66_32
| spl66_193 ),
inference(avatar_split_clause,[],[f9505,f7893,f787,f787]) ).
fof(f9505,plain,
( e2 != op(e2,e2)
| ~ spl66_32
| spl66_193 ),
inference(superposition,[],[f7895,f789]) ).
fof(f11448,plain,
( ~ spl66_186
| ~ spl66_8
| spl66_106 ),
inference(avatar_split_clause,[],[f9278,f1147,f672,f1774]) ).
fof(f9278,plain,
( e3 != op(e0,e3)
| ~ spl66_8
| spl66_106 ),
inference(superposition,[],[f1149,f674]) ).
fof(f11446,plain,
( spl66_148
| ~ spl66_141
| ~ spl66_157 ),
inference(avatar_split_clause,[],[f8997,f1390,f1319,f1351]) ).
fof(f11444,plain,
( ~ spl66_155
| spl66_140
| ~ spl66_145 ),
inference(avatar_split_clause,[],[f8167,f1338,f1314,f1381]) ).
fof(f8167,plain,
( e0 != op(e3,e2)
| spl66_140
| ~ spl66_145 ),
inference(superposition,[],[f1316,f1339]) ).
fof(f11442,plain,
( ~ spl66_52
| spl66_102
| ~ spl66_172 ),
inference(avatar_split_clause,[],[f1683,f1455,f1127,f883]) ).
fof(f1127,plain,
( spl66_102
<=> op(e1,e2) = op(e3,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl66_102])]) ).
fof(f1683,plain,
( e1 != op(e1,e2)
| spl66_102
| ~ spl66_172 ),
inference(superposition,[],[f1129,f1456]) ).
fof(f1129,plain,
( op(e1,e2) != op(e3,e2)
| spl66_102 ),
inference(avatar_component_clause,[],[f1127]) ).
fof(f11440,plain,
( ~ spl66_8
| ~ spl66_8
| spl66_143 ),
inference(avatar_split_clause,[],[f1522,f1329,f672,f672]) ).
fof(f1522,plain,
( e3 != op(e3,e3)
| ~ spl66_8
| spl66_143 ),
inference(superposition,[],[f1331,f674]) ).
fof(f11427,plain,
( spl66_6
| spl66_3
| spl66_5
| ~ spl66_32
| ~ spl66_166
| ~ spl66_172
| ~ spl66_178 ),
inference(avatar_split_clause,[],[f11346,f1507,f1455,f1429,f787,f658,f648,f663]) ).
fof(f11346,plain,
( e1 = e3
| e0 = e3
| e2 = e3
| ~ spl66_32
| ~ spl66_166
| ~ spl66_172
| ~ spl66_178 ),
inference(duplicate_literal_removal,[],[f11345]) ).
fof(f11345,plain,
( e1 = e3
| e0 = e3
| e2 = e3
| e1 = e3
| ~ spl66_32
| ~ spl66_166
| ~ spl66_172
| ~ spl66_178 ),
inference(forward_demodulation,[],[f11344,f1509]) ).
fof(f11344,plain,
( e0 = e3
| e2 = e3
| e1 = e3
| e3 = op(e0,e2)
| ~ spl66_32
| ~ spl66_166
| ~ spl66_172 ),
inference(forward_demodulation,[],[f8629,f1430]) ).
fof(f11409,plain,
( ~ spl66_82
| spl66_147
| ~ spl66_157
| ~ spl66_164 ),
inference(avatar_split_clause,[],[f11408,f1420,f1390,f1347,f1027]) ).
fof(f11408,plain,
( e0 != op(e0,e0)
| spl66_147
| ~ spl66_157
| ~ spl66_164 ),
inference(forward_demodulation,[],[f1349,f11379]) ).
fof(f1349,plain,
( e0 != op(e2,e2)
| spl66_147 ),
inference(avatar_component_clause,[],[f1347]) ).
fof(f11407,plain,
( ~ spl66_147
| ~ spl66_178
| ~ spl66_187 ),
inference(avatar_split_clause,[],[f10868,f1790,f1507,f1347]) ).
fof(f10868,plain,
( e0 != op(e2,e2)
| ~ spl66_178
| ~ spl66_187 ),
inference(trivial_inequality_removal,[],[f10223]) ).
fof(f10223,plain,
( e1 != e1
| e0 != op(e2,e2)
| ~ spl66_178
| ~ spl66_187 ),
inference(forward_demodulation,[],[f9452,f1509]) ).
fof(f9452,plain,
( e1 != op(e0,e2)
| e0 != op(e2,e2)
| ~ spl66_187 ),
inference(trivial_inequality_removal,[],[f2170]) ).
fof(f2170,plain,
( e3 != e3
| e1 != op(e0,e2)
| e0 != op(e2,e2)
| ~ spl66_187 ),
inference(forward_demodulation,[],[f596,f1792]) ).
fof(f596,plain,
( e1 != op(e0,e2)
| e3 != op(e1,e0)
| e0 != op(e2,e2) ),
inference(inner_rewriting,[],[f595]) ).
fof(f595,plain,
( e1 != op(op(e2,e2),e2)
| e3 != op(e1,op(e2,e2))
| e0 != op(e2,e2) ),
inference(inner_rewriting,[],[f568]) ).
fof(f568,plain,
( e1 != op(op(e2,e2),e2)
| e3 != op(op(op(e2,e2),e2),op(e2,e2))
| e0 != op(e2,e2) ),
inference(cnf_transformation,[],[f33]) ).
fof(f33,plain,
( e1 != op(op(e2,e2),e2)
| e3 != op(op(op(e2,e2),e2),op(e2,e2))
| e0 != op(e2,e2) ),
inference(ennf_transformation,[],[f9]) ).
fof(f9,axiom,
~ ( e1 = op(op(e2,e2),e2)
& e3 = op(op(op(e2,e2),e2),op(e2,e2))
& e0 = op(e2,e2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax9) ).
fof(f11301,plain,
( spl66_47
| spl66_4
| spl66_1
| spl66_5
| ~ spl66_27
| ~ spl66_150
| ~ spl66_186 ),
inference(avatar_split_clause,[],[f8704,f1774,f1360,f763,f658,f638,f653,f859]) ).
fof(f8704,plain,
( e1 = e3
| e0 = e1
| e1 = e2
| e1 = op(e1,e3)
| ~ spl66_27
| ~ spl66_150
| ~ spl66_186 ),
inference(forward_demodulation,[],[f8098,f1776]) ).
fof(f8098,plain,
( e0 = e1
| e1 = e2
| e1 = op(e1,e3)
| e1 = op(e0,e3)
| ~ spl66_27
| ~ spl66_150 ),
inference(forward_demodulation,[],[f2168,f1361]) ).
fof(f11288,plain,
( spl66_164
| ~ spl66_142
| ~ spl66_172 ),
inference(avatar_split_clause,[],[f9833,f1455,f1324,f1420]) ).
fof(f9833,plain,
( e2 = op(e3,e1)
| ~ spl66_142
| ~ spl66_172 ),
inference(forward_demodulation,[],[f1325,f1456]) ).
fof(f11270,plain,
( spl66_2
| ~ spl66_52
| ~ spl66_144
| ~ spl66_192 ),
inference(avatar_split_clause,[],[f11223,f7843,f1334,f883,f643]) ).
fof(f11223,plain,
( e0 = e2
| ~ spl66_52
| ~ spl66_144
| ~ spl66_192 ),
inference(forward_demodulation,[],[f10531,f1335]) ).
fof(f10531,plain,
( e2 = op(e1,e1)
| ~ spl66_52
| ~ spl66_192 ),
inference(superposition,[],[f7844,f885]) ).
fof(f11185,plain,
( spl66_150
| spl66_2
| spl66_3
| ~ spl66_27
| ~ spl66_161
| ~ spl66_186 ),
inference(avatar_split_clause,[],[f10231,f1774,f1407,f763,f648,f643,f1360]) ).
fof(f10231,plain,
( e0 = e3
| e0 = e2
| e0 = op(e3,e3)
| ~ spl66_27
| ~ spl66_161
| ~ spl66_186 ),
inference(forward_demodulation,[],[f10230,f1776]) ).
fof(f10230,plain,
( e0 = e2
| e0 = op(e3,e3)
| e0 = op(e0,e3)
| ~ spl66_27
| ~ spl66_161 ),
inference(duplicate_literal_removal,[],[f10229]) ).
fof(f10229,plain,
( e0 = e2
| e0 = e2
| e0 = op(e3,e3)
| e0 = op(e0,e3)
| ~ spl66_27
| ~ spl66_161 ),
inference(forward_demodulation,[],[f9342,f765]) ).
fof(f9342,plain,
( e0 = e2
| e0 = op(e3,e3)
| e0 = op(e2,e3)
| e0 = op(e0,e3)
| ~ spl66_161 ),
inference(forward_demodulation,[],[f542,f1408]) ).
fof(f11183,plain,
( ~ spl66_82
| ~ spl66_82
| spl66_139 ),
inference(avatar_split_clause,[],[f3995,f1309,f1027,f1027]) ).
fof(f3995,plain,
( e0 != op(e0,e0)
| ~ spl66_82
| spl66_139 ),
inference(superposition,[],[f1311,f1029]) ).
fof(f11145,plain,
( ~ spl66_144
| ~ spl66_173
| ~ spl66_182 ),
inference(avatar_split_clause,[],[f10871,f1599,f1459,f1334]) ).
fof(f10871,plain,
( e3 != op(e2,e0)
| e0 != op(e1,e1)
| ~ spl66_182 ),
inference(trivial_inequality_removal,[],[f3869]) ).
fof(f3869,plain,
( e2 != e2
| e3 != op(e2,e0)
| e0 != op(e1,e1)
| ~ spl66_182 ),
inference(forward_demodulation,[],[f592,f1601]) ).
fof(f592,plain,
( e2 != op(e0,e1)
| e3 != op(e2,e0)
| e0 != op(e1,e1) ),
inference(inner_rewriting,[],[f591]) ).
fof(f591,plain,
( e2 != op(op(e1,e1),e1)
| e3 != op(e2,op(e1,e1))
| e0 != op(e1,e1) ),
inference(inner_rewriting,[],[f566]) ).
fof(f566,plain,
( e2 != op(op(e1,e1),e1)
| e3 != op(op(op(e1,e1),e1),op(e1,e1))
| e0 != op(e1,e1) ),
inference(cnf_transformation,[],[f31]) ).
fof(f31,plain,
( e2 != op(op(e1,e1),e1)
| e3 != op(op(op(e1,e1),e1),op(e1,e1))
| e0 != op(e1,e1) ),
inference(ennf_transformation,[],[f7]) ).
fof(f7,axiom,
~ ( e2 = op(op(e1,e1),e1)
& e3 = op(op(op(e1,e1),e1),op(e1,e1))
& e0 = op(e1,e1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax7) ).
fof(f11123,plain,
( ~ spl66_136
| ~ spl66_158
| ~ spl66_161 ),
inference(avatar_split_clause,[],[f8531,f1407,f1394,f1296]) ).
fof(f11092,plain,
( spl66_150
| spl66_2
| spl66_3
| ~ spl66_27
| ~ spl66_180
| ~ spl66_186 ),
inference(avatar_split_clause,[],[f10081,f1774,f1564,f763,f648,f643,f1360]) ).
fof(f10081,plain,
( e0 = e3
| e0 = e2
| e0 = op(e3,e3)
| ~ spl66_27
| ~ spl66_180
| ~ spl66_186 ),
inference(duplicate_literal_removal,[],[f10080]) ).
fof(f10080,plain,
( e0 = e3
| e0 = e3
| e0 = e2
| e0 = op(e3,e3)
| ~ spl66_27
| ~ spl66_180
| ~ spl66_186 ),
inference(forward_demodulation,[],[f10079,f1776]) ).
fof(f10079,plain,
( e0 = e3
| e0 = e2
| e0 = op(e3,e3)
| e0 = op(e0,e3)
| ~ spl66_27
| ~ spl66_180 ),
inference(forward_demodulation,[],[f2167,f1566]) ).
fof(f2167,plain,
( e0 = e2
| e0 = op(e3,e3)
| e0 = op(e1,e3)
| e0 = op(e0,e3)
| ~ spl66_27 ),
inference(forward_demodulation,[],[f542,f765]) ).
fof(f11069,plain,
( spl66_5
| ~ spl66_160
| ~ spl66_173
| ~ spl66_196 ),
inference(avatar_split_clause,[],[f11065,f10184,f1459,f1403,f658]) ).
fof(f11065,plain,
( e1 = e3
| ~ spl66_160
| ~ spl66_173
| ~ spl66_196 ),
inference(forward_demodulation,[],[f1460,f11030]) ).
fof(f11037,plain,
( spl66_3
| spl66_6
| spl66_5
| ~ spl66_27
| ~ spl66_32
| ~ spl66_151
| ~ spl66_160 ),
inference(avatar_split_clause,[],[f10925,f1403,f1364,f787,f763,f658,f663,f648]) ).
fof(f10925,plain,
( e1 = e3
| e2 = e3
| e0 = e3
| ~ spl66_27
| ~ spl66_32
| ~ spl66_151
| ~ spl66_160 ),
inference(forward_demodulation,[],[f10924,f1365]) ).
fof(f10924,plain,
( e2 = e3
| e0 = e3
| e3 = op(e2,e0)
| ~ spl66_27
| ~ spl66_32
| ~ spl66_160 ),
inference(duplicate_literal_removal,[],[f10923]) ).
fof(f10923,plain,
( e2 = e3
| e0 = e3
| e2 = e3
| e3 = op(e2,e0)
| ~ spl66_27
| ~ spl66_32
| ~ spl66_160 ),
inference(forward_demodulation,[],[f10481,f789]) ).
fof(f10481,plain,
( e0 = e3
| e2 = e3
| e3 = op(e2,e2)
| e3 = op(e2,e0)
| ~ spl66_27
| ~ spl66_160 ),
inference(forward_demodulation,[],[f3344,f1404]) ).
fof(f3344,plain,
( e2 = e3
| e3 = op(e2,e2)
| e3 = op(e2,e1)
| e3 = op(e2,e0)
| ~ spl66_27 ),
inference(forward_demodulation,[],[f539,f765]) ).
fof(f11035,plain,
( ~ spl66_136
| ~ spl66_197 ),
inference(avatar_split_clause,[],[f498,f11032,f1296]) ).
fof(f498,plain,
( e1 != op(e1,op(e1,e1))
| ~ sP1 ),
inference(cnf_transformation,[],[f185]) ).
fof(f11010,plain,
( ~ spl66_159
| ~ spl66_179
| ~ spl66_182 ),
inference(avatar_split_clause,[],[f10447,f1599,f1535,f1399]) ).
fof(f10447,plain,
( e1 != op(e3,e3)
| ~ spl66_179
| ~ spl66_182 ),
inference(trivial_inequality_removal,[],[f10446]) ).
fof(f10446,plain,
( e2 != e2
| e1 != op(e3,e3)
| ~ spl66_179
| ~ spl66_182 ),
inference(forward_demodulation,[],[f8259,f1601]) ).
fof(f8259,plain,
( e2 != op(e0,e1)
| e1 != op(e3,e3)
| ~ spl66_179 ),
inference(trivial_inequality_removal,[],[f4715]) ).
fof(f10863,plain,
( spl66_6
| spl66_4
| ~ spl66_57
| ~ spl66_169
| ~ spl66_177
| ~ spl66_184 ),
inference(avatar_split_clause,[],[f10796,f1666,f1503,f1442,f907,f653,f663]) ).
fof(f10796,plain,
( e1 = e2
| e2 = e3
| ~ spl66_57
| ~ spl66_169
| ~ spl66_177
| ~ spl66_184 ),
inference(duplicate_literal_removal,[],[f10795]) ).
fof(f10795,plain,
( e1 = e2
| e1 = e2
| e2 = e3
| ~ spl66_57
| ~ spl66_169
| ~ spl66_177
| ~ spl66_184 ),
inference(forward_demodulation,[],[f10794,f1505]) ).
fof(f10794,plain,
( e1 = e2
| e2 = e3
| e2 = op(e0,e1)
| ~ spl66_57
| ~ spl66_169
| ~ spl66_184 ),
inference(duplicate_literal_removal,[],[f10793]) ).
fof(f10793,plain,
( e1 = e2
| e2 = e3
| e1 = e2
| e2 = op(e0,e1)
| ~ spl66_57
| ~ spl66_169
| ~ spl66_184 ),
inference(forward_demodulation,[],[f5758,f1668]) ).
fof(f5758,plain,
( e2 = e3
| e1 = e2
| e2 = op(e3,e1)
| e2 = op(e0,e1)
| ~ spl66_57
| ~ spl66_169 ),
inference(forward_demodulation,[],[f5013,f1443]) ).
fof(f10853,plain,
( spl66_1
| ~ spl66_163
| ~ spl66_169
| ~ spl66_196 ),
inference(avatar_split_clause,[],[f10846,f10184,f1442,f1416,f638]) ).
fof(f10846,plain,
( e0 = e1
| ~ spl66_163
| ~ spl66_169
| ~ spl66_196 ),
inference(forward_demodulation,[],[f10844,f1417]) ).
fof(f10844,plain,
( e1 = op(e2,e3)
| ~ spl66_169
| ~ spl66_196 ),
inference(superposition,[],[f10185,f1443]) ).
fof(f10738,plain,
( spl66_2
| spl66_6
| spl66_4
| ~ spl66_47
| ~ spl66_159
| ~ spl66_163
| ~ spl66_186 ),
inference(avatar_split_clause,[],[f10674,f1774,f1416,f1399,f859,f653,f663,f643]) ).
fof(f10674,plain,
( e1 = e2
| e2 = e3
| e0 = e2
| ~ spl66_47
| ~ spl66_159
| ~ spl66_163
| ~ spl66_186 ),
inference(duplicate_literal_removal,[],[f10673]) ).
fof(f10673,plain,
( e1 = e2
| e2 = e3
| e0 = e2
| e1 = e2
| ~ spl66_47
| ~ spl66_159
| ~ spl66_163
| ~ spl66_186 ),
inference(forward_demodulation,[],[f10593,f861]) ).
fof(f10593,plain,
( e2 = e3
| e0 = e2
| e1 = e2
| e2 = op(e1,e3)
| ~ spl66_159
| ~ spl66_163
| ~ spl66_186 ),
inference(forward_demodulation,[],[f8935,f1776]) ).
fof(f8935,plain,
( e0 = e2
| e1 = e2
| e2 = op(e1,e3)
| e2 = op(e0,e3)
| ~ spl66_159
| ~ spl66_163 ),
inference(forward_demodulation,[],[f4803,f1417]) ).
fof(f4803,plain,
( e1 = e2
| e2 = op(e2,e3)
| e2 = op(e1,e3)
| e2 = op(e0,e3)
| ~ spl66_159 ),
inference(forward_demodulation,[],[f546,f1400]) ).
fof(f10702,plain,
( spl66_6
| spl66_3
| spl66_5
| ~ spl66_32
| ~ spl66_151
| ~ spl66_160
| ~ spl66_163 ),
inference(avatar_split_clause,[],[f10618,f1416,f1403,f1364,f787,f658,f648,f663]) ).
fof(f10618,plain,
( e1 = e3
| e0 = e3
| e2 = e3
| ~ spl66_32
| ~ spl66_151
| ~ spl66_160
| ~ spl66_163 ),
inference(forward_demodulation,[],[f10617,f1365]) ).
fof(f10617,plain,
( e0 = e3
| e2 = e3
| e3 = op(e2,e0)
| ~ spl66_32
| ~ spl66_160
| ~ spl66_163 ),
inference(duplicate_literal_removal,[],[f10616]) ).
fof(f10616,plain,
( e0 = e3
| e0 = e3
| e2 = e3
| e3 = op(e2,e0)
| ~ spl66_32
| ~ spl66_160
| ~ spl66_163 ),
inference(forward_demodulation,[],[f9486,f1404]) ).
fof(f9486,plain,
( e0 = e3
| e2 = e3
| e3 = op(e2,e1)
| e3 = op(e2,e0)
| ~ spl66_32
| ~ spl66_163 ),
inference(forward_demodulation,[],[f3655,f1417]) ).
fof(f10672,plain,
( spl66_6
| ~ spl66_32
| ~ spl66_153 ),
inference(avatar_split_clause,[],[f10661,f1373,f787,f663]) ).
fof(f10661,plain,
( e2 = e3
| ~ spl66_32
| ~ spl66_153 ),
inference(superposition,[],[f1374,f789]) ).
fof(f10559,plain,
( ~ spl66_136
| ~ spl66_52
| ~ spl66_188 ),
inference(avatar_split_clause,[],[f10556,f1796,f883,f1296]) ).
fof(f10556,plain,
( ~ sP1
| ~ spl66_52
| ~ spl66_188 ),
inference(trivial_inequality_removal,[],[f10555]) ).
fof(f10555,plain,
( e1 != e1
| ~ sP1
| ~ spl66_52
| ~ spl66_188 ),
inference(forward_demodulation,[],[f10554,f885]) ).
fof(f10554,plain,
( e1 != op(e1,e2)
| ~ sP1
| ~ spl66_188 ),
inference(forward_demodulation,[],[f498,f1798]) ).
fof(f10553,plain,
( ~ spl66_151
| ~ spl66_160
| spl66_196 ),
inference(avatar_split_clause,[],[f10188,f10184,f1403,f1364]) ).
fof(f10188,plain,
( e1 != op(e2,e0)
| ~ spl66_160
| spl66_196 ),
inference(forward_demodulation,[],[f10186,f1404]) ).
fof(f10471,plain,
( spl66_3
| ~ spl66_160
| ~ spl66_169 ),
inference(avatar_split_clause,[],[f10448,f1442,f1403,f648]) ).
fof(f10448,plain,
( e0 = e3
| ~ spl66_160
| ~ spl66_169 ),
inference(superposition,[],[f1404,f1443]) ).
fof(f10433,plain,
( spl66_6
| spl66_2
| spl66_4
| ~ spl66_57
| ~ spl66_157
| ~ spl66_169
| ~ spl66_177 ),
inference(avatar_split_clause,[],[f10411,f1503,f1442,f1390,f907,f653,f643,f663]) ).
fof(f10411,plain,
( e1 = e2
| e0 = e2
| e2 = e3
| ~ spl66_57
| ~ spl66_157
| ~ spl66_169
| ~ spl66_177 ),
inference(duplicate_literal_removal,[],[f10410]) ).
fof(f10410,plain,
( e1 = e2
| e1 = e2
| e0 = e2
| e2 = e3
| ~ spl66_57
| ~ spl66_157
| ~ spl66_169
| ~ spl66_177 ),
inference(forward_demodulation,[],[f10409,f1505]) ).
fof(f10409,plain,
( e1 = e2
| e0 = e2
| e2 = e3
| e2 = op(e0,e1)
| ~ spl66_57
| ~ spl66_157
| ~ spl66_169 ),
inference(forward_demodulation,[],[f10408,f909]) ).
fof(f10408,plain,
( e0 = e2
| e2 = e3
| e2 = op(e1,e1)
| e2 = op(e0,e1)
| ~ spl66_157
| ~ spl66_169 ),
inference(forward_demodulation,[],[f5769,f1391]) ).
fof(f5769,plain,
( e2 = e3
| e2 = op(e3,e1)
| e2 = op(e1,e1)
| e2 = op(e0,e1)
| ~ spl66_169 ),
inference(forward_demodulation,[],[f530,f1443]) ).
fof(f10391,plain,
( spl66_4
| ~ spl66_147
| ~ spl66_151
| ~ spl66_193 ),
inference(avatar_split_clause,[],[f10274,f7893,f1364,f1347,f653]) ).
fof(f10274,plain,
( e1 = e2
| ~ spl66_147
| ~ spl66_151
| ~ spl66_193 ),
inference(forward_demodulation,[],[f10273,f1365]) ).
fof(f10273,plain,
( e2 = op(e2,e0)
| ~ spl66_147
| ~ spl66_193 ),
inference(superposition,[],[f7894,f1348]) ).
fof(f10386,plain,
( spl66_177
| ~ spl66_147
| ~ spl66_151
| ~ spl66_183
| ~ spl66_193 ),
inference(avatar_split_clause,[],[f10383,f7893,f1603,f1364,f1347,f1503]) ).
fof(f10383,plain,
( e1 = op(e0,e1)
| ~ spl66_147
| ~ spl66_151
| ~ spl66_183
| ~ spl66_193 ),
inference(forward_demodulation,[],[f1605,f10274]) ).
fof(f10330,plain,
( ~ spl66_147
| ~ spl66_178
| ~ spl66_187 ),
inference(avatar_split_clause,[],[f10224,f1790,f1507,f1347]) ).
fof(f10224,plain,
( e0 != op(e2,e2)
| ~ spl66_178
| ~ spl66_187 ),
inference(trivial_inequality_removal,[],[f10223]) ).
fof(f10293,plain,
( spl66_3
| ~ spl66_147
| ~ spl66_153 ),
inference(avatar_split_clause,[],[f10265,f1373,f1347,f648]) ).
fof(f10265,plain,
( e0 = e3
| ~ spl66_147
| ~ spl66_153 ),
inference(superposition,[],[f1348,f1374]) ).
fof(f10253,plain,
( ~ spl66_138
| ~ spl66_178
| ~ spl66_182 ),
inference(avatar_split_clause,[],[f10206,f1599,f1507,f1305]) ).
fof(f10206,plain,
( ~ sP0
| ~ spl66_178
| ~ spl66_182 ),
inference(trivial_inequality_removal,[],[f10205]) ).
fof(f10201,plain,
( ~ spl66_62
| ~ spl66_52
| spl66_117 ),
inference(avatar_split_clause,[],[f2049,f1202,f883,f931]) ).
fof(f1202,plain,
( spl66_117
<=> op(e1,e0) = op(e1,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl66_117])]) ).
fof(f2049,plain,
( e1 != op(e1,e0)
| ~ spl66_52
| spl66_117 ),
inference(superposition,[],[f1204,f885]) ).
fof(f1204,plain,
( op(e1,e0) != op(e1,e2)
| spl66_117 ),
inference(avatar_component_clause,[],[f1202]) ).
fof(f10189,plain,
( spl66_153
| spl66_3
| spl66_5
| ~ spl66_52
| ~ spl66_155
| ~ spl66_178 ),
inference(avatar_split_clause,[],[f9352,f1507,f1381,f883,f658,f648,f1373]) ).
fof(f9352,plain,
( e1 = e3
| e0 = e3
| e3 = op(e2,e2)
| ~ spl66_52
| ~ spl66_155
| ~ spl66_178 ),
inference(duplicate_literal_removal,[],[f9351]) ).
fof(f9351,plain,
( e1 = e3
| e1 = e3
| e0 = e3
| e3 = op(e2,e2)
| ~ spl66_52
| ~ spl66_155
| ~ spl66_178 ),
inference(forward_demodulation,[],[f2767,f1509]) ).
fof(f2767,plain,
( e1 = e3
| e0 = e3
| e3 = op(e2,e2)
| e3 = op(e0,e2)
| ~ spl66_52
| ~ spl66_155 ),
inference(forward_demodulation,[],[f2597,f885]) ).
fof(f2597,plain,
( e0 = e3
| e3 = op(e2,e2)
| e3 = op(e1,e2)
| e3 = op(e0,e2)
| ~ spl66_155 ),
inference(forward_demodulation,[],[f540,f1382]) ).
fof(f10187,plain,
( ~ spl66_134
| ~ spl66_196 ),
inference(avatar_split_clause,[],[f494,f10184,f1287]) ).
fof(f10180,plain,
( ~ spl66_51
| spl66_1
| ~ spl66_160 ),
inference(avatar_split_clause,[],[f10176,f1403,f638,f879]) ).
fof(f10176,plain,
( e0 = e1
| ~ sP30
| ~ spl66_160 ),
inference(forward_demodulation,[],[f382,f1404]) ).
fof(f10175,plain,
( spl66_1
| ~ spl66_160
| ~ spl66_190 ),
inference(avatar_split_clause,[],[f10174,f3071,f1403,f638]) ).
fof(f10174,plain,
( e0 = e1
| ~ spl66_160
| ~ spl66_190 ),
inference(forward_demodulation,[],[f3073,f1404]) ).
fof(f10169,plain,
( ~ spl66_53
| spl66_190 ),
inference(avatar_split_clause,[],[f386,f3071,f888]) ).
fof(f386,plain,
( e1 = op(e2,e1)
| ~ sP29 ),
inference(cnf_transformation,[],[f157]) ).
fof(f10167,plain,
( ~ spl66_163
| spl66_135
| ~ spl66_173 ),
inference(avatar_split_clause,[],[f10027,f1459,f1291,f1416]) ).
fof(f10027,plain,
( e0 != op(e2,e3)
| spl66_135
| ~ spl66_173 ),
inference(forward_demodulation,[],[f1293,f1460]) ).
fof(f10031,plain,
( spl66_6
| ~ spl66_17
| ~ spl66_145
| ~ spl66_155
| ~ spl66_172 ),
inference(avatar_split_clause,[],[f9877,f1455,f1381,f1338,f715,f663]) ).
fof(f9877,plain,
( e2 = e3
| ~ spl66_17
| ~ spl66_145
| ~ spl66_155
| ~ spl66_172 ),
inference(forward_demodulation,[],[f9876,f1339]) ).
fof(f9876,plain,
( e3 = op(e3,e0)
| ~ spl66_17
| ~ spl66_155
| ~ spl66_172 ),
inference(forward_demodulation,[],[f717,f1699]) ).
fof(f1699,plain,
( e0 = e1
| ~ spl66_155
| ~ spl66_172 ),
inference(superposition,[],[f1456,f1382]) ).
fof(f10030,plain,
( ~ spl66_138
| ~ spl66_183 ),
inference(avatar_split_clause,[],[f9577,f1603,f1305]) ).
fof(f9577,plain,
( ~ sP0
| ~ spl66_183 ),
inference(trivial_inequality_removal,[],[f6373]) ).
fof(f9896,plain,
( spl66_2
| ~ spl66_152
| ~ spl66_154
| ~ spl66_155
| ~ spl66_172 ),
inference(avatar_split_clause,[],[f9829,f1455,f1381,f1377,f1368,f643]) ).
fof(f9829,plain,
( e0 = e2
| ~ spl66_152
| ~ spl66_154
| ~ spl66_155
| ~ spl66_172 ),
inference(forward_demodulation,[],[f1369,f9828]) ).
fof(f9828,plain,
( e0 = op(e0,e3)
| ~ spl66_154
| ~ spl66_155
| ~ spl66_172 ),
inference(forward_demodulation,[],[f1378,f1699]) ).
fof(f9768,plain,
( ~ spl66_14
| spl66_2
| ~ spl66_166 ),
inference(avatar_split_clause,[],[f9767,f1429,f643,f701]) ).
fof(f9767,plain,
( e0 = e2
| ~ sP60
| ~ spl66_166 ),
inference(forward_demodulation,[],[f263,f1430]) ).
fof(f263,plain,
( e2 = op(e1,e2)
| ~ sP60 ),
inference(cnf_transformation,[],[f126]) ).
fof(f9766,plain,
( ~ spl66_11
| spl66_6
| ~ spl66_12 ),
inference(avatar_split_clause,[],[f6338,f691,f663,f687]) ).
fof(f6338,plain,
( e2 = e3
| ~ sP62
| ~ spl66_12 ),
inference(forward_demodulation,[],[f255,f693]) ).
fof(f255,plain,
( e2 = op(e3,e2)
| ~ sP62 ),
inference(cnf_transformation,[],[f124]) ).
fof(f124,plain,
( ( e2 = op(e2,e3)
& e2 = op(e3,e2)
& e3 = op(e2,e3)
& e3 = op(e3,e2) )
| ~ sP62 ),
inference(nnf_transformation,[],[f116]) ).
fof(f9763,plain,
( ~ spl66_15
| spl66_2
| ~ spl66_175 ),
inference(avatar_split_clause,[],[f5497,f1487,f643,f706]) ).
fof(f5497,plain,
( e0 = e2
| ~ sP59
| ~ spl66_175 ),
inference(forward_demodulation,[],[f268,f1489]) ).
fof(f268,plain,
( e2 = op(e2,e0)
| ~ sP59 ),
inference(cnf_transformation,[],[f127]) ).
fof(f9760,plain,
( ~ spl66_13
| spl66_4
| ~ spl66_156 ),
inference(avatar_split_clause,[],[f9759,f1386,f653,f696]) ).
fof(f9759,plain,
( e1 = e2
| ~ sP61
| ~ spl66_156 ),
inference(forward_demodulation,[],[f260,f1387]) ).
fof(f9758,plain,
( spl66_85
| spl66_84
| spl66_83
| spl66_81
| spl66_80
| spl66_79
| spl66_78
| spl66_76
| spl66_75
| spl66_74
| spl66_73
| spl66_71
| spl66_70
| spl66_69
| spl66_68
| spl66_66
| spl66_65
| spl66_64
| spl66_63
| spl66_61
| spl66_60
| spl66_59
| spl66_58
| spl66_56
| spl66_55
| spl66_54
| spl66_53
| spl66_51
| spl66_50
| spl66_49
| spl66_48
| spl66_46
| spl66_45
| spl66_44
| spl66_43
| spl66_41
| spl66_40
| spl66_39
| spl66_38
| spl66_36
| spl66_35
| spl66_34
| spl66_33
| spl66_31
| spl66_30
| spl66_29
| spl66_28
| spl66_26
| spl66_25
| spl66_24
| spl66_23
| spl66_21
| spl66_20
| spl66_19
| spl66_18
| spl66_16
| spl66_15
| spl66_14
| spl66_13
| spl66_11
| spl66_10
| spl66_9
| spl66_7
| spl66_5
| ~ spl66_159 ),
inference(avatar_split_clause,[],[f2491,f1399,f658,f668,f677,f682,f687,f696,f701,f706,f711,f720,f725,f730,f735,f744,f749,f754,f759,f768,f773,f778,f783,f792,f797,f802,f807,f816,f821,f826,f831,f840,f845,f850,f855,f864,f869,f874,f879,f888,f893,f898,f903,f912,f917,f922,f927,f936,f941,f946,f951,f960,f965,f970,f975,f984,f989,f994,f999,f1008,f1013,f1018,f1023,f1032,f1037,f1042]) ).
fof(f2491,plain,
( e1 = e3
| sP65
| sP64
| sP63
| sP62
| sP61
| sP60
| sP59
| sP58
| sP57
| sP56
| sP55
| sP54
| sP53
| sP52
| sP51
| sP50
| sP49
| sP48
| sP47
| sP46
| sP45
| sP44
| sP43
| sP42
| sP41
| sP40
| sP39
| sP38
| sP37
| sP36
| sP35
| sP34
| sP33
| sP32
| sP31
| sP30
| sP29
| sP28
| sP27
| sP26
| sP25
| sP24
| sP23
| sP22
| sP21
| sP20
| sP19
| sP18
| sP17
| sP16
| sP15
| sP14
| sP13
| sP12
| sP11
| sP10
| sP9
| sP8
| sP7
| sP6
| sP5
| sP4
| sP3
| ~ spl66_159 ),
inference(forward_demodulation,[],[f516,f1400]) ).
fof(f9750,plain,
( spl66_144
| ~ spl66_12
| ~ spl66_142
| ~ spl66_159
| ~ spl66_166 ),
inference(avatar_split_clause,[],[f9749,f1429,f1399,f1324,f691,f1334]) ).
fof(f9749,plain,
( e0 = op(e1,e1)
| ~ spl66_12
| ~ spl66_142
| ~ spl66_159
| ~ spl66_166 ),
inference(forward_demodulation,[],[f1430,f9731]) ).
fof(f9748,plain,
( spl66_166
| spl66_179
| spl66_1
| spl66_3
| ~ spl66_62
| ~ spl66_162 ),
inference(avatar_split_clause,[],[f8706,f1412,f931,f648,f638,f1535,f1429]) ).
fof(f8706,plain,
( e0 = e3
| e0 = e1
| e0 = op(e1,e3)
| e0 = op(e1,e2)
| ~ spl66_62
| ~ spl66_162 ),
inference(forward_demodulation,[],[f2778,f1413]) ).
fof(f2778,plain,
( e0 = e1
| e0 = op(e1,e3)
| e0 = op(e1,e2)
| e0 = op(e1,e1)
| ~ spl66_62 ),
inference(forward_demodulation,[],[f525,f933]) ).
fof(f9699,plain,
( spl66_167
| spl66_1
| spl66_4
| ~ spl66_37
| ~ spl66_42
| ~ spl66_147 ),
inference(avatar_split_clause,[],[f9651,f1347,f835,f811,f653,f638,f1433]) ).
fof(f9651,plain,
( e1 = e2
| e0 = e1
| e1 = op(e2,e3)
| ~ spl66_37
| ~ spl66_42
| ~ spl66_147 ),
inference(duplicate_literal_removal,[],[f9650]) ).
fof(f9650,plain,
( e1 = e2
| e1 = e2
| e0 = e1
| e1 = op(e2,e3)
| ~ spl66_37
| ~ spl66_42
| ~ spl66_147 ),
inference(forward_demodulation,[],[f6653,f837]) ).
fof(f6653,plain,
( e1 = e2
| e0 = e1
| e1 = op(e2,e3)
| e1 = op(e2,e0)
| ~ spl66_37
| ~ spl66_147 ),
inference(forward_demodulation,[],[f6198,f813]) ).
fof(f6198,plain,
( e0 = e1
| e1 = op(e2,e3)
| e1 = op(e2,e1)
| e1 = op(e2,e0)
| ~ spl66_147 ),
inference(forward_demodulation,[],[f535,f1348]) ).
fof(f9669,plain,
( spl66_3
| spl66_5
| spl66_6
| ~ spl66_52
| ~ spl66_147
| ~ spl66_155
| ~ spl66_183 ),
inference(avatar_split_clause,[],[f2627,f1603,f1381,f1347,f883,f663,f658,f648]) ).
fof(f2627,plain,
( e2 = e3
| e1 = e3
| e0 = e3
| ~ spl66_52
| ~ spl66_147
| ~ spl66_155
| ~ spl66_183 ),
inference(forward_demodulation,[],[f2600,f1605]) ).
fof(f2600,plain,
( e1 = e3
| e0 = e3
| e3 = op(e0,e2)
| ~ spl66_52
| ~ spl66_147
| ~ spl66_155 ),
inference(forward_demodulation,[],[f2599,f885]) ).
fof(f2599,plain,
( e0 = e3
| e3 = op(e1,e2)
| e3 = op(e0,e2)
| ~ spl66_147
| ~ spl66_155 ),
inference(duplicate_literal_removal,[],[f2598]) ).
fof(f2598,plain,
( e0 = e3
| e0 = e3
| e3 = op(e1,e2)
| e3 = op(e0,e2)
| ~ spl66_147
| ~ spl66_155 ),
inference(forward_demodulation,[],[f2597,f1348]) ).
fof(f9643,plain,
( spl66_147
| spl66_163
| spl66_2
| ~ spl66_37
| ~ spl66_42 ),
inference(avatar_split_clause,[],[f9326,f835,f811,f643,f1416,f1347]) ).
fof(f9326,plain,
( e0 = e2
| e0 = op(e2,e3)
| e0 = op(e2,e2)
| ~ spl66_37
| ~ spl66_42 ),
inference(duplicate_literal_removal,[],[f6574]) ).
fof(f6574,plain,
( e0 = e2
| e0 = e2
| e0 = op(e2,e3)
| e0 = op(e2,e2)
| ~ spl66_37
| ~ spl66_42 ),
inference(forward_demodulation,[],[f6573,f837]) ).
fof(f6573,plain,
( e0 = e2
| e0 = op(e2,e3)
| e0 = op(e2,e2)
| e0 = op(e2,e0)
| ~ spl66_37 ),
inference(forward_demodulation,[],[f533,f813]) ).
fof(f9571,plain,
( spl66_4
| spl66_5
| spl66_1
| ~ spl66_32
| ~ spl66_37
| ~ spl66_163
| ~ spl66_173 ),
inference(avatar_split_clause,[],[f9556,f1459,f1416,f811,f787,f638,f658,f653]) ).
fof(f9556,plain,
( e0 = e1
| e1 = e3
| e1 = e2
| ~ spl66_32
| ~ spl66_37
| ~ spl66_163
| ~ spl66_173 ),
inference(forward_demodulation,[],[f8703,f1417]) ).
fof(f8703,plain,
( e1 = e3
| e1 = e2
| e1 = op(e2,e3)
| ~ spl66_32
| ~ spl66_37
| ~ spl66_173 ),
inference(forward_demodulation,[],[f8702,f1460]) ).
fof(f8702,plain,
( e1 = e2
| e1 = op(e2,e3)
| e1 = op(e2,e0)
| ~ spl66_32
| ~ spl66_37 ),
inference(duplicate_literal_removal,[],[f8701]) ).
fof(f8701,plain,
( e1 = e2
| e1 = e2
| e1 = op(e2,e3)
| e1 = op(e2,e0)
| ~ spl66_32
| ~ spl66_37 ),
inference(forward_demodulation,[],[f2911,f789]) ).
fof(f9524,plain,
( spl66_6
| spl66_3
| spl66_5
| ~ spl66_32
| ~ spl66_37
| ~ spl66_151
| ~ spl66_163 ),
inference(avatar_split_clause,[],[f9457,f1416,f1364,f811,f787,f658,f648,f663]) ).
fof(f9457,plain,
( e1 = e3
| e0 = e3
| e2 = e3
| ~ spl66_32
| ~ spl66_37
| ~ spl66_151
| ~ spl66_163 ),
inference(forward_demodulation,[],[f9456,f1365]) ).
fof(f9456,plain,
( e0 = e3
| e2 = e3
| e3 = op(e2,e0)
| ~ spl66_32
| ~ spl66_37
| ~ spl66_163 ),
inference(forward_demodulation,[],[f8522,f1417]) ).
fof(f8522,plain,
( e2 = e3
| e3 = op(e2,e3)
| e3 = op(e2,e0)
| ~ spl66_32
| ~ spl66_37 ),
inference(duplicate_literal_removal,[],[f2890]) ).
fof(f2890,plain,
( e2 = e3
| e2 = e3
| e3 = op(e2,e3)
| e3 = op(e2,e0)
| ~ spl66_32
| ~ spl66_37 ),
inference(forward_demodulation,[],[f2889,f813]) ).
fof(f2889,plain,
( e2 = e3
| e3 = op(e2,e3)
| e3 = op(e2,e1)
| e3 = op(e2,e0)
| ~ spl66_32 ),
inference(forward_demodulation,[],[f539,f789]) ).
fof(f9438,plain,
( spl66_3
| spl66_5
| spl66_6
| ~ spl66_37
| ~ spl66_42
| ~ spl66_156
| ~ spl66_163 ),
inference(avatar_split_clause,[],[f9425,f1416,f1386,f835,f811,f663,f658,f648]) ).
fof(f9425,plain,
( e2 = e3
| e1 = e3
| e0 = e3
| ~ spl66_37
| ~ spl66_42
| ~ spl66_156
| ~ spl66_163 ),
inference(duplicate_literal_removal,[],[f9424]) ).
fof(f9424,plain,
( e2 = e3
| e1 = e3
| e0 = e3
| e2 = e3
| ~ spl66_37
| ~ spl66_42
| ~ spl66_156
| ~ spl66_163 ),
inference(forward_demodulation,[],[f9074,f837]) ).
fof(f9074,plain,
( e1 = e3
| e0 = e3
| e2 = e3
| e3 = op(e2,e0)
| ~ spl66_37
| ~ spl66_156
| ~ spl66_163 ),
inference(forward_demodulation,[],[f9033,f1387]) ).
fof(f9033,plain,
( e0 = e3
| e2 = e3
| e3 = op(e2,e2)
| e3 = op(e2,e0)
| ~ spl66_37
| ~ spl66_163 ),
inference(forward_demodulation,[],[f6576,f1417]) ).
fof(f6576,plain,
( e2 = e3
| e3 = op(e2,e3)
| e3 = op(e2,e2)
| e3 = op(e2,e0)
| ~ spl66_37 ),
inference(forward_demodulation,[],[f539,f813]) ).
fof(f9418,plain,
( spl66_3
| spl66_5
| ~ spl66_52
| ~ spl66_155
| ~ spl66_156
| ~ spl66_178 ),
inference(avatar_split_clause,[],[f9403,f1507,f1386,f1381,f883,f658,f648]) ).
fof(f9403,plain,
( e1 = e3
| e0 = e3
| ~ spl66_52
| ~ spl66_155
| ~ spl66_156
| ~ spl66_178 ),
inference(duplicate_literal_removal,[],[f9402]) ).
fof(f9402,plain,
( e1 = e3
| e1 = e3
| e0 = e3
| ~ spl66_52
| ~ spl66_155
| ~ spl66_156
| ~ spl66_178 ),
inference(forward_demodulation,[],[f9401,f1509]) ).
fof(f9401,plain,
( e1 = e3
| e0 = e3
| e3 = op(e0,e2)
| ~ spl66_52
| ~ spl66_155
| ~ spl66_156 ),
inference(duplicate_literal_removal,[],[f9400]) ).
fof(f9400,plain,
( e1 = e3
| e0 = e3
| e1 = e3
| e3 = op(e0,e2)
| ~ spl66_52
| ~ spl66_155
| ~ spl66_156 ),
inference(forward_demodulation,[],[f9273,f885]) ).
fof(f9273,plain,
( e0 = e3
| e1 = e3
| e3 = op(e1,e2)
| e3 = op(e0,e2)
| ~ spl66_155
| ~ spl66_156 ),
inference(forward_demodulation,[],[f9067,f1382]) ).
fof(f9067,plain,
( e1 = e3
| e3 = op(e3,e2)
| e3 = op(e1,e2)
| e3 = op(e0,e2)
| ~ spl66_156 ),
inference(forward_demodulation,[],[f540,f1387]) ).
fof(f9398,plain,
( spl66_156
| spl66_1
| spl66_4
| ~ spl66_37
| ~ spl66_42
| ~ spl66_163 ),
inference(avatar_split_clause,[],[f9055,f1416,f835,f811,f653,f638,f1386]) ).
fof(f9055,plain,
( e1 = e2
| e0 = e1
| e1 = op(e2,e2)
| ~ spl66_37
| ~ spl66_42
| ~ spl66_163 ),
inference(duplicate_literal_removal,[],[f7982]) ).
fof(f7982,plain,
( e1 = e2
| e1 = e2
| e0 = e1
| e1 = op(e2,e2)
| ~ spl66_37
| ~ spl66_42
| ~ spl66_163 ),
inference(forward_demodulation,[],[f7286,f837]) ).
fof(f7286,plain,
( e1 = e2
| e0 = e1
| e1 = op(e2,e2)
| e1 = op(e2,e0)
| ~ spl66_37
| ~ spl66_163 ),
inference(forward_demodulation,[],[f6405,f813]) ).
fof(f9324,plain,
( spl66_150
| spl66_3
| spl66_2
| ~ spl66_152
| ~ spl66_161
| ~ spl66_181 ),
inference(avatar_split_clause,[],[f9264,f1568,f1407,f1368,f643,f648,f1360]) ).
fof(f9264,plain,
( e0 = e2
| e0 = e3
| e0 = op(e3,e3)
| ~ spl66_152
| ~ spl66_161
| ~ spl66_181 ),
inference(duplicate_literal_removal,[],[f9263]) ).
fof(f9263,plain,
( e0 = e2
| e0 = e3
| e0 = e2
| e0 = op(e3,e3)
| ~ spl66_152
| ~ spl66_161
| ~ spl66_181 ),
inference(forward_demodulation,[],[f9262,f1369]) ).
fof(f9262,plain,
( e0 = e3
| e0 = e2
| e0 = op(e3,e3)
| e0 = op(e0,e3)
| ~ spl66_161
| ~ spl66_181 ),
inference(forward_demodulation,[],[f5023,f1570]) ).
fof(f9322,plain,
( ~ spl66_136
| ~ spl66_195 ),
inference(avatar_split_clause,[],[f500,f9319,f1296]) ).
fof(f500,plain,
( e3 != op(e1,op(e1,e3))
| ~ sP1 ),
inference(cnf_transformation,[],[f185]) ).
fof(f9277,plain,
( ~ spl66_134
| ~ spl66_37
| ~ spl66_156 ),
inference(avatar_split_clause,[],[f8411,f1386,f811,f1287]) ).
fof(f8411,plain,
( ~ sP2
| ~ spl66_37
| ~ spl66_156 ),
inference(trivial_inequality_removal,[],[f7705]) ).
fof(f9229,plain,
( spl66_153
| spl66_6
| spl66_3
| ~ spl66_72
| ~ spl66_155
| ~ spl66_189 ),
inference(avatar_split_clause,[],[f9189,f1800,f1381,f979,f648,f663,f1373]) ).
fof(f9189,plain,
( e0 = e3
| e2 = e3
| e3 = op(e2,e2)
| ~ spl66_72
| ~ spl66_155
| ~ spl66_189 ),
inference(duplicate_literal_removal,[],[f9188]) ).
fof(f9188,plain,
( e0 = e3
| e2 = e3
| e0 = e3
| e3 = op(e2,e2)
| ~ spl66_72
| ~ spl66_155
| ~ spl66_189 ),
inference(forward_demodulation,[],[f9187,f981]) ).
fof(f9187,plain,
( e2 = e3
| e0 = e3
| e3 = op(e2,e2)
| e3 = op(e0,e2)
| ~ spl66_155
| ~ spl66_189 ),
inference(forward_demodulation,[],[f2597,f1802]) ).
fof(f9202,plain,
( spl66_186
| spl66_3
| spl66_5
| ~ spl66_47
| ~ spl66_159
| ~ spl66_163 ),
inference(avatar_split_clause,[],[f8835,f1416,f1399,f859,f658,f648,f1774]) ).
fof(f8835,plain,
( e1 = e3
| e0 = e3
| e3 = op(e0,e3)
| ~ spl66_47
| ~ spl66_159
| ~ spl66_163 ),
inference(duplicate_literal_removal,[],[f4886]) ).
fof(f4886,plain,
( e1 = e3
| e0 = e3
| e1 = e3
| e3 = op(e0,e3)
| ~ spl66_47
| ~ spl66_159
| ~ spl66_163 ),
inference(forward_demodulation,[],[f4671,f861]) ).
fof(f4671,plain,
( e0 = e3
| e1 = e3
| e3 = op(e1,e3)
| e3 = op(e0,e3)
| ~ spl66_159
| ~ spl66_163 ),
inference(forward_demodulation,[],[f2485,f1417]) ).
fof(f2485,plain,
( e1 = e3
| e3 = op(e2,e3)
| e3 = op(e1,e3)
| e3 = op(e0,e3)
| ~ spl66_159 ),
inference(forward_demodulation,[],[f548,f1400]) ).
fof(f9186,plain,
( ~ spl66_138
| ~ spl66_177 ),
inference(avatar_split_clause,[],[f9184,f1503,f1305]) ).
fof(f9184,plain,
( ~ sP0
| ~ spl66_177 ),
inference(trivial_inequality_removal,[],[f9183]) ).
fof(f9182,plain,
( ~ spl66_145
| spl66_142
| ~ spl66_155 ),
inference(avatar_split_clause,[],[f1698,f1381,f1324,f1338]) ).
fof(f1698,plain,
( e2 != op(e3,e0)
| spl66_142
| ~ spl66_155 ),
inference(superposition,[],[f1326,f1382]) ).
fof(f9156,plain,
( ~ spl66_157
| ~ spl66_152
| ~ spl66_162 ),
inference(avatar_split_clause,[],[f9155,f1412,f1368,f1390]) ).
fof(f9155,plain,
( e0 != op(e3,e1)
| ~ spl66_152
| ~ spl66_162 ),
inference(trivial_inequality_removal,[],[f9154]) ).
fof(f9154,plain,
( e3 != e3
| e0 != op(e3,e1)
| ~ spl66_152
| ~ spl66_162 ),
inference(forward_demodulation,[],[f9057,f1413]) ).
fof(f9057,plain,
( e0 != op(e3,e1)
| e3 != op(e1,e1)
| ~ spl66_152 ),
inference(trivial_inequality_removal,[],[f2399]) ).
fof(f2399,plain,
( e2 != e2
| e0 != op(e3,e1)
| e3 != op(e1,e1)
| ~ spl66_152 ),
inference(forward_demodulation,[],[f614,f1369]) ).
fof(f9153,plain,
( spl66_6
| spl66_5
| spl66_3
| ~ spl66_145
| ~ spl66_155
| ~ spl66_157
| ~ spl66_159 ),
inference(avatar_split_clause,[],[f9100,f1399,f1390,f1381,f1338,f648,f658,f663]) ).
fof(f9100,plain,
( e0 = e3
| e1 = e3
| e2 = e3
| ~ spl66_145
| ~ spl66_155
| ~ spl66_157
| ~ spl66_159 ),
inference(duplicate_literal_removal,[],[f9099]) ).
fof(f9099,plain,
( e0 = e3
| e1 = e3
| e2 = e3
| e0 = e3
| ~ spl66_145
| ~ spl66_155
| ~ spl66_157
| ~ spl66_159 ),
inference(forward_demodulation,[],[f9098,f1391]) ).
fof(f9098,plain,
( e1 = e3
| e2 = e3
| e0 = e3
| e3 = op(e3,e1)
| ~ spl66_145
| ~ spl66_155
| ~ spl66_159 ),
inference(forward_demodulation,[],[f2751,f1400]) ).
fof(f2751,plain,
( e2 = e3
| e0 = e3
| e3 = op(e3,e3)
| e3 = op(e3,e1)
| ~ spl66_145
| ~ spl66_155 ),
inference(forward_demodulation,[],[f2750,f1339]) ).
fof(f2750,plain,
( e0 = e3
| e3 = op(e3,e3)
| e3 = op(e3,e1)
| e3 = op(e3,e0)
| ~ spl66_155 ),
inference(forward_demodulation,[],[f547,f1382]) ).
fof(f9049,plain,
( spl66_147
| spl66_155
| spl66_2
| ~ spl66_183
| ~ spl66_189 ),
inference(avatar_split_clause,[],[f9037,f1800,f1603,f643,f1381,f1347]) ).
fof(f9037,plain,
( e0 = e2
| e0 = op(e3,e2)
| e0 = op(e2,e2)
| ~ spl66_183
| ~ spl66_189 ),
inference(duplicate_literal_removal,[],[f9036]) ).
fof(f9036,plain,
( e0 = e2
| e0 = e2
| e0 = op(e3,e2)
| e0 = op(e2,e2)
| ~ spl66_183
| ~ spl66_189 ),
inference(forward_demodulation,[],[f9035,f1605]) ).
fof(f9035,plain,
( e0 = e2
| e0 = op(e3,e2)
| e0 = op(e2,e2)
| e0 = op(e0,e2)
| ~ spl66_189 ),
inference(forward_demodulation,[],[f534,f1802]) ).
fof(f9041,plain,
( ~ spl66_134
| ~ spl66_37
| ~ spl66_156 ),
inference(avatar_split_clause,[],[f8411,f1386,f811,f1287]) ).
fof(f9038,plain,
( spl66_156
| spl66_172
| spl66_4
| ~ spl66_183
| ~ spl66_189 ),
inference(avatar_split_clause,[],[f9007,f1800,f1603,f653,f1455,f1386]) ).
fof(f9007,plain,
( e1 = e2
| e1 = op(e3,e2)
| e1 = op(e2,e2)
| ~ spl66_183
| ~ spl66_189 ),
inference(duplicate_literal_removal,[],[f7862]) ).
fof(f7862,plain,
( e1 = e2
| e1 = e2
| e1 = op(e3,e2)
| e1 = op(e2,e2)
| ~ spl66_183
| ~ spl66_189 ),
inference(forward_demodulation,[],[f7861,f1605]) ).
fof(f7861,plain,
( e1 = e2
| e1 = op(e3,e2)
| e1 = op(e2,e2)
| e1 = op(e0,e2)
| ~ spl66_189 ),
inference(forward_demodulation,[],[f536,f1802]) ).
fof(f9022,plain,
( spl66_6
| spl66_3
| spl66_5
| ~ spl66_37
| ~ spl66_147
| ~ spl66_151
| ~ spl66_163 ),
inference(avatar_split_clause,[],[f8903,f1416,f1364,f1347,f811,f658,f648,f663]) ).
fof(f8903,plain,
( e1 = e3
| e0 = e3
| e2 = e3
| ~ spl66_37
| ~ spl66_147
| ~ spl66_151
| ~ spl66_163 ),
inference(forward_demodulation,[],[f8902,f1365]) ).
fof(f8902,plain,
( e0 = e3
| e2 = e3
| e3 = op(e2,e0)
| ~ spl66_37
| ~ spl66_147
| ~ spl66_163 ),
inference(duplicate_literal_removal,[],[f8901]) ).
fof(f8901,plain,
( e0 = e3
| e2 = e3
| e0 = e3
| e3 = op(e2,e0)
| ~ spl66_37
| ~ spl66_147
| ~ spl66_163 ),
inference(forward_demodulation,[],[f8007,f1348]) ).
fof(f8007,plain,
( e2 = e3
| e0 = e3
| e3 = op(e2,e2)
| e3 = op(e2,e0)
| ~ spl66_37
| ~ spl66_163 ),
inference(forward_demodulation,[],[f4275,f813]) ).
fof(f9005,plain,
( spl66_4
| spl66_5
| spl66_1
| ~ spl66_37
| ~ spl66_157
| ~ spl66_162
| ~ spl66_182 ),
inference(avatar_split_clause,[],[f8420,f1599,f1412,f1390,f811,f638,f658,f653]) ).
fof(f8420,plain,
( e0 = e1
| e1 = e3
| e1 = e2
| ~ spl66_37
| ~ spl66_157
| ~ spl66_162
| ~ spl66_182 ),
inference(forward_demodulation,[],[f6426,f1391]) ).
fof(f6426,plain,
( e1 = e3
| e1 = e2
| e1 = op(e3,e1)
| ~ spl66_37
| ~ spl66_162
| ~ spl66_182 ),
inference(forward_demodulation,[],[f6425,f1413]) ).
fof(f6425,plain,
( e1 = e2
| e1 = op(e3,e1)
| e1 = op(e1,e1)
| ~ spl66_37
| ~ spl66_182 ),
inference(duplicate_literal_removal,[],[f6424]) ).
fof(f6424,plain,
( e1 = e2
| e1 = e2
| e1 = op(e3,e1)
| e1 = op(e1,e1)
| ~ spl66_37
| ~ spl66_182 ),
inference(forward_demodulation,[],[f1718,f813]) ).
fof(f1718,plain,
( e1 = e2
| e1 = op(e3,e1)
| e1 = op(e2,e1)
| e1 = op(e1,e1)
| ~ spl66_182 ),
inference(forward_demodulation,[],[f528,f1601]) ).
fof(f9003,plain,
( ~ spl66_134
| ~ spl66_194 ),
inference(avatar_split_clause,[],[f496,f9000,f1287]) ).
fof(f496,plain,
( e3 != op(e2,op(e2,e3))
| ~ sP2 ),
inference(cnf_transformation,[],[f184]) ).
fof(f8834,plain,
( ~ spl66_37
| ~ spl66_27
| spl66_126 ),
inference(avatar_split_clause,[],[f1559,f1247,f763,f811]) ).
fof(f1247,plain,
( spl66_126
<=> op(e2,e1) = op(e2,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl66_126])]) ).
fof(f1559,plain,
( e2 != op(e2,e1)
| ~ spl66_27
| spl66_126 ),
inference(superposition,[],[f1249,f765]) ).
fof(f1249,plain,
( op(e2,e1) != op(e2,e3)
| spl66_126 ),
inference(avatar_component_clause,[],[f1247]) ).
fof(f8805,plain,
( ~ spl66_81
| spl66_2
| ~ spl66_145 ),
inference(avatar_split_clause,[],[f8803,f1338,f643,f1023]) ).
fof(f8803,plain,
( e0 = e2
| ~ sP6
| ~ spl66_145 ),
inference(forward_demodulation,[],[f479,f1339]) ).
fof(f479,plain,
( e0 = op(e3,e0)
| ~ sP6 ),
inference(cnf_transformation,[],[f180]) ).
fof(f180,plain,
( ( e0 = op(e0,e3)
& e0 = op(e3,e0)
& e0 = op(e0,e0)
& e0 = op(e0,e0) )
| ~ sP6 ),
inference(nnf_transformation,[],[f60]) ).
fof(f8802,plain,
( ~ spl66_84
| spl66_3
| ~ spl66_187 ),
inference(avatar_split_clause,[],[f8800,f1790,f648,f1037]) ).
fof(f8800,plain,
( e0 = e3
| ~ sP4
| ~ spl66_187 ),
inference(forward_demodulation,[],[f487,f1792]) ).
fof(f487,plain,
( e0 = op(e1,e0)
| ~ sP4 ),
inference(cnf_transformation,[],[f182]) ).
fof(f182,plain,
( ( e0 = op(e0,e1)
& e0 = op(e1,e0)
& e0 = op(e0,e0)
& e0 = op(e0,e0) )
| ~ sP4 ),
inference(nnf_transformation,[],[f58]) ).
fof(f8799,plain,
( ~ spl66_83
| spl66_2
| ~ spl66_183 ),
inference(avatar_split_clause,[],[f8734,f1603,f643,f1032]) ).
fof(f8734,plain,
( e0 = e2
| ~ sP5
| ~ spl66_183 ),
inference(forward_demodulation,[],[f484,f1605]) ).
fof(f8726,plain,
( spl66_163
| spl66_2
| spl66_3
| ~ spl66_32
| ~ spl66_37
| ~ spl66_173 ),
inference(avatar_split_clause,[],[f8556,f1459,f811,f787,f648,f643,f1416]) ).
fof(f8556,plain,
( e0 = e3
| e0 = e2
| e0 = op(e2,e3)
| ~ spl66_32
| ~ spl66_37
| ~ spl66_173 ),
inference(forward_demodulation,[],[f8528,f1460]) ).
fof(f8528,plain,
( e0 = e2
| e0 = op(e2,e3)
| e0 = op(e2,e0)
| ~ spl66_32
| ~ spl66_37 ),
inference(duplicate_literal_removal,[],[f7074]) ).
fof(f7074,plain,
( e0 = e2
| e0 = e2
| e0 = op(e2,e3)
| e0 = op(e2,e0)
| ~ spl66_32
| ~ spl66_37 ),
inference(forward_demodulation,[],[f1955,f813]) ).
fof(f8700,plain,
( spl66_3
| ~ spl66_62
| ~ spl66_137
| ~ spl66_162 ),
inference(avatar_split_clause,[],[f8689,f1412,f1300,f931,f648]) ).
fof(f8689,plain,
( e0 = e3
| ~ spl66_62
| ~ spl66_137
| ~ spl66_162 ),
inference(forward_demodulation,[],[f1413,f8668]) ).
fof(f8668,plain,
( e0 = op(e1,e1)
| ~ spl66_62
| ~ spl66_137 ),
inference(forward_demodulation,[],[f1301,f933]) ).
fof(f8669,plain,
( spl66_5
| spl66_6
| ~ spl66_32
| ~ spl66_172
| ~ spl66_183
| ~ spl66_189 ),
inference(avatar_split_clause,[],[f8638,f1800,f1603,f1455,f787,f663,f658]) ).
fof(f8638,plain,
( e2 = e3
| e1 = e3
| ~ spl66_32
| ~ spl66_172
| ~ spl66_183
| ~ spl66_189 ),
inference(duplicate_literal_removal,[],[f8637]) ).
fof(f8637,plain,
( e2 = e3
| e2 = e3
| e1 = e3
| ~ spl66_32
| ~ spl66_172
| ~ spl66_183
| ~ spl66_189 ),
inference(forward_demodulation,[],[f8636,f1802]) ).
fof(f8636,plain,
( e2 = e3
| e1 = e3
| e3 = op(e1,e2)
| ~ spl66_32
| ~ spl66_172
| ~ spl66_183 ),
inference(duplicate_literal_removal,[],[f8635]) ).
fof(f8635,plain,
( e2 = e3
| e1 = e3
| e2 = e3
| e3 = op(e1,e2)
| ~ spl66_32
| ~ spl66_172
| ~ spl66_183 ),
inference(forward_demodulation,[],[f8634,f789]) ).
fof(f8634,plain,
( e1 = e3
| e2 = e3
| e3 = op(e2,e2)
| e3 = op(e1,e2)
| ~ spl66_172
| ~ spl66_183 ),
inference(forward_demodulation,[],[f8095,f1456]) ).
fof(f8095,plain,
( e2 = e3
| e3 = op(e3,e2)
| e3 = op(e2,e2)
| e3 = op(e1,e2)
| ~ spl66_183 ),
inference(forward_demodulation,[],[f540,f1605]) ).
fof(f8667,plain,
( ~ spl66_144
| ~ spl66_62
| spl66_137 ),
inference(avatar_split_clause,[],[f1465,f1300,f931,f1334]) ).
fof(f1465,plain,
( e0 != op(e1,e1)
| ~ spl66_62
| spl66_137 ),
inference(superposition,[],[f1302,f933]) ).
fof(f8625,plain,
( spl66_184
| spl66_1
| spl66_4
| ~ spl66_37
| ~ spl66_144
| ~ spl66_182 ),
inference(avatar_split_clause,[],[f8506,f1599,f1334,f811,f653,f638,f1666]) ).
fof(f8506,plain,
( e1 = e2
| e0 = e1
| e1 = op(e3,e1)
| ~ spl66_37
| ~ spl66_144
| ~ spl66_182 ),
inference(duplicate_literal_removal,[],[f8505]) ).
fof(f8505,plain,
( e1 = e2
| e1 = e2
| e0 = e1
| e1 = op(e3,e1)
| ~ spl66_37
| ~ spl66_144
| ~ spl66_182 ),
inference(forward_demodulation,[],[f7488,f1601]) ).
fof(f7488,plain,
( e1 = e2
| e0 = e1
| e1 = op(e3,e1)
| e1 = op(e0,e1)
| ~ spl66_37
| ~ spl66_144 ),
inference(forward_demodulation,[],[f3874,f813]) ).
fof(f8518,plain,
( spl66_6
| spl66_5
| spl66_3
| ~ spl66_27
| ~ spl66_37
| ~ spl66_156
| ~ spl66_175 ),
inference(avatar_split_clause,[],[f8440,f1487,f1386,f811,f763,f648,f658,f663]) ).
fof(f8440,plain,
( e0 = e3
| e1 = e3
| e2 = e3
| ~ spl66_27
| ~ spl66_37
| ~ spl66_156
| ~ spl66_175 ),
inference(forward_demodulation,[],[f7721,f1489]) ).
fof(f7721,plain,
( e1 = e3
| e2 = e3
| e3 = op(e2,e0)
| ~ spl66_27
| ~ spl66_37
| ~ spl66_156 ),
inference(forward_demodulation,[],[f7623,f1387]) ).
fof(f7623,plain,
( e2 = e3
| e3 = op(e2,e2)
| e3 = op(e2,e0)
| ~ spl66_27
| ~ spl66_37 ),
inference(duplicate_literal_removal,[],[f7622]) ).
fof(f7622,plain,
( e2 = e3
| e2 = e3
| e3 = op(e2,e2)
| e3 = op(e2,e0)
| ~ spl66_27
| ~ spl66_37 ),
inference(forward_demodulation,[],[f3344,f813]) ).
fof(f8498,plain,
( spl66_5
| spl66_6
| spl66_3
| ~ spl66_145
| ~ spl66_150
| ~ spl66_157
| ~ spl66_172 ),
inference(avatar_split_clause,[],[f8418,f1455,f1390,f1360,f1338,f648,f663,f658]) ).
fof(f8418,plain,
( e0 = e3
| e2 = e3
| e1 = e3
| ~ spl66_145
| ~ spl66_150
| ~ spl66_157
| ~ spl66_172 ),
inference(duplicate_literal_removal,[],[f8417]) ).
fof(f8417,plain,
( e0 = e3
| e2 = e3
| e1 = e3
| e0 = e3
| ~ spl66_145
| ~ spl66_150
| ~ spl66_157
| ~ spl66_172 ),
inference(forward_demodulation,[],[f8272,f1391]) ).
fof(f8272,plain,
( e2 = e3
| e1 = e3
| e0 = e3
| e3 = op(e3,e1)
| ~ spl66_145
| ~ spl66_150
| ~ spl66_172 ),
inference(forward_demodulation,[],[f7629,f1339]) ).
fof(f7629,plain,
( e1 = e3
| e0 = e3
| e3 = op(e3,e1)
| e3 = op(e3,e0)
| ~ spl66_150
| ~ spl66_172 ),
inference(forward_demodulation,[],[f1552,f1456]) ).
fof(f1552,plain,
( e0 = e3
| e3 = op(e3,e2)
| e3 = op(e3,e1)
| e3 = op(e3,e0)
| ~ spl66_150 ),
inference(forward_demodulation,[],[f547,f1361]) ).
fof(f8446,plain,
( ~ spl66_71
| spl66_4
| ~ spl66_172 ),
inference(avatar_split_clause,[],[f5385,f1455,f653,f975]) ).
fof(f5385,plain,
( e1 = e2
| ~ sP14
| ~ spl66_172 ),
inference(forward_demodulation,[],[f447,f1456]) ).
fof(f447,plain,
( e2 = op(e3,e2)
| ~ sP14 ),
inference(cnf_transformation,[],[f172]) ).
fof(f8444,plain,
( ~ spl66_63
| spl66_4
| ~ spl66_182 ),
inference(avatar_split_clause,[],[f8392,f1599,f653,f936]) ).
fof(f8392,plain,
( e1 = e2
| ~ sP21
| ~ spl66_182 ),
inference(forward_demodulation,[],[f418,f1601]) ).
fof(f418,plain,
( e1 = op(e0,e1)
| ~ sP21 ),
inference(cnf_transformation,[],[f165]) ).
fof(f8409,plain,
( spl66_6
| ~ spl66_162
| ~ spl66_188 ),
inference(avatar_split_clause,[],[f8348,f1796,f1412,f663]) ).
fof(f8348,plain,
( e2 = e3
| ~ spl66_162
| ~ spl66_188 ),
inference(forward_demodulation,[],[f1413,f1798]) ).
fof(f8354,plain,
( spl66_4
| ~ spl66_52
| ~ spl66_156
| ~ spl66_172
| ~ spl66_178 ),
inference(avatar_split_clause,[],[f8291,f1507,f1455,f1386,f883,f653]) ).
fof(f8291,plain,
( e1 = e2
| ~ spl66_52
| ~ spl66_156
| ~ spl66_172
| ~ spl66_178 ),
inference(duplicate_literal_removal,[],[f8290]) ).
fof(f8290,plain,
( e1 = e2
| e1 = e2
| ~ spl66_52
| ~ spl66_156
| ~ spl66_172
| ~ spl66_178 ),
inference(forward_demodulation,[],[f8258,f885]) ).
fof(f8258,plain,
( e1 = e2
| e2 = op(e1,e2)
| ~ spl66_156
| ~ spl66_172
| ~ spl66_178 ),
inference(duplicate_literal_removal,[],[f7671]) ).
fof(f7671,plain,
( e1 = e2
| e1 = e2
| e2 = op(e1,e2)
| ~ spl66_156
| ~ spl66_172
| ~ spl66_178 ),
inference(forward_demodulation,[],[f5311,f1509]) ).
fof(f5311,plain,
( e1 = e2
| e2 = op(e1,e2)
| e2 = op(e0,e2)
| ~ spl66_156
| ~ spl66_172 ),
inference(duplicate_literal_removal,[],[f5310]) ).
fof(f5310,plain,
( e1 = e2
| e1 = e2
| e2 = op(e1,e2)
| e2 = op(e0,e2)
| ~ spl66_156
| ~ spl66_172 ),
inference(forward_demodulation,[],[f2026,f1387]) ).
fof(f8238,plain,
( ~ spl66_53
| spl66_4
| ~ spl66_37 ),
inference(avatar_split_clause,[],[f8236,f811,f653,f888]) ).
fof(f8236,plain,
( e1 = e2
| ~ sP29
| ~ spl66_37 ),
inference(forward_demodulation,[],[f386,f813]) ).
fof(f8235,plain,
( ~ spl66_55
| spl66_4
| ~ spl66_37 ),
inference(avatar_split_clause,[],[f8233,f811,f653,f898]) ).
fof(f8233,plain,
( e1 = e2
| ~ sP27
| ~ spl66_37 ),
inference(forward_demodulation,[],[f394,f813]) ).
fof(f8232,plain,
( ~ spl66_80
| spl66_1
| ~ spl66_62 ),
inference(avatar_split_clause,[],[f8230,f931,f638,f1018]) ).
fof(f8230,plain,
( e0 = e1
| ~ sP7
| ~ spl66_62 ),
inference(forward_demodulation,[],[f474,f933]) ).
fof(f474,plain,
( e0 = op(e1,e0)
| ~ sP7 ),
inference(cnf_transformation,[],[f179]) ).
fof(f8229,plain,
( ~ spl66_79
| spl66_1
| ~ spl66_62 ),
inference(avatar_split_clause,[],[f8227,f931,f638,f1013]) ).
fof(f8227,plain,
( e0 = e1
| ~ sP8
| ~ spl66_62 ),
inference(forward_demodulation,[],[f470,f933]) ).
fof(f8226,plain,
( ~ spl66_36
| spl66_5
| ~ spl66_17 ),
inference(avatar_split_clause,[],[f8223,f715,f658,f807]) ).
fof(f8223,plain,
( e1 = e3
| ~ sP42
| ~ spl66_17 ),
inference(forward_demodulation,[],[f335,f717]) ).
fof(f8222,plain,
( ~ spl66_39
| spl66_4
| ~ spl66_188 ),
inference(avatar_split_clause,[],[f8220,f1796,f653,f821]) ).
fof(f8220,plain,
( e1 = e2
| ~ sP40
| ~ spl66_188 ),
inference(forward_demodulation,[],[f344,f1798]) ).
fof(f8219,plain,
( ~ spl66_19
| spl66_4
| ~ spl66_188 ),
inference(avatar_split_clause,[],[f8218,f1796,f653,f725]) ).
fof(f8218,plain,
( e1 = e2
| ~ sP56
| ~ spl66_188 ),
inference(forward_demodulation,[],[f280,f1798]) ).
fof(f8217,plain,
( ~ spl66_30
| spl66_4
| ~ spl66_172 ),
inference(avatar_split_clause,[],[f8214,f1455,f653,f778]) ).
fof(f8214,plain,
( e1 = e2
| ~ sP47
| ~ spl66_172 ),
inference(forward_demodulation,[],[f314,f1456]) ).
fof(f8213,plain,
( ~ spl66_78
| spl66_1
| ~ spl66_62 ),
inference(avatar_split_clause,[],[f8211,f931,f638,f1008]) ).
fof(f8211,plain,
( e0 = e1
| ~ sP9
| ~ spl66_62 ),
inference(forward_demodulation,[],[f466,f933]) ).
fof(f8210,plain,
( ~ spl66_20
| spl66_177 ),
inference(avatar_split_clause,[],[f283,f1503,f730]) ).
fof(f283,plain,
( e1 = op(e0,e1)
| ~ sP55 ),
inference(cnf_transformation,[],[f131]) ).
fof(f8185,plain,
( ~ spl66_20
| spl66_1
| ~ spl66_77 ),
inference(avatar_split_clause,[],[f8182,f1003,f638,f730]) ).
fof(f8182,plain,
( e0 = e1
| ~ sP55
| ~ spl66_77 ),
inference(forward_demodulation,[],[f283,f1005]) ).
fof(f8181,plain,
( spl66_4
| ~ spl66_172
| ~ spl66_191 ),
inference(avatar_split_clause,[],[f4555,f4451,f1455,f653]) ).
fof(f4555,plain,
( e1 = e2
| ~ spl66_172
| ~ spl66_191 ),
inference(superposition,[],[f1456,f4453]) ).
fof(f8140,plain,
( ~ spl66_51
| spl66_4
| ~ spl66_37 ),
inference(avatar_split_clause,[],[f8138,f811,f653,f879]) ).
fof(f8138,plain,
( e1 = e2
| ~ sP30
| ~ spl66_37 ),
inference(forward_demodulation,[],[f382,f813]) ).
fof(f8137,plain,
( ~ spl66_76
| spl66_1
| ~ spl66_62 ),
inference(avatar_split_clause,[],[f8134,f931,f638,f999]) ).
fof(f8134,plain,
( e0 = e1
| ~ sP10
| ~ spl66_62 ),
inference(forward_demodulation,[],[f462,f933]) ).
fof(f8133,plain,
( ~ spl66_54
| spl66_4
| ~ spl66_37 ),
inference(avatar_split_clause,[],[f8100,f811,f653,f893]) ).
fof(f8100,plain,
( e1 = e2
| ~ sP28
| ~ spl66_37 ),
inference(forward_demodulation,[],[f390,f813]) ).
fof(f8085,plain,
( spl66_167
| spl66_4
| spl66_5
| ~ spl66_37
| ~ spl66_42
| ~ spl66_153 ),
inference(avatar_split_clause,[],[f7867,f1373,f835,f811,f658,f653,f1433]) ).
fof(f7867,plain,
( e1 = e3
| e1 = e2
| e1 = op(e2,e3)
| ~ spl66_37
| ~ spl66_42
| ~ spl66_153 ),
inference(forward_demodulation,[],[f7149,f1374]) ).
fof(f7149,plain,
( e1 = e2
| e1 = op(e2,e3)
| e1 = op(e2,e2)
| ~ spl66_37
| ~ spl66_42 ),
inference(duplicate_literal_removal,[],[f6580]) ).
fof(f6580,plain,
( e1 = e2
| e1 = e2
| e1 = op(e2,e3)
| e1 = op(e2,e2)
| ~ spl66_37
| ~ spl66_42 ),
inference(forward_demodulation,[],[f6579,f837]) ).
fof(f6579,plain,
( e1 = e2
| e1 = op(e2,e3)
| e1 = op(e2,e2)
| e1 = op(e2,e0)
| ~ spl66_37 ),
inference(forward_demodulation,[],[f535,f813]) ).
fof(f8077,plain,
( spl66_27
| ~ spl66_153
| ~ spl66_193 ),
inference(avatar_split_clause,[],[f7908,f7893,f1373,f763]) ).
fof(f7908,plain,
( e2 = op(e2,e3)
| ~ spl66_153
| ~ spl66_193 ),
inference(forward_demodulation,[],[f7894,f1374]) ).
fof(f8046,plain,
( spl66_27
| spl66_2
| spl66_6
| ~ spl66_67
| ~ spl66_150
| ~ spl66_180 ),
inference(avatar_split_clause,[],[f6775,f1564,f1360,f955,f663,f643,f763]) ).
fof(f6775,plain,
( e2 = e3
| e0 = e2
| e2 = op(e2,e3)
| ~ spl66_67
| ~ spl66_150
| ~ spl66_180 ),
inference(forward_demodulation,[],[f5751,f1566]) ).
fof(f5751,plain,
( e0 = e2
| e2 = op(e2,e3)
| e2 = op(e1,e3)
| ~ spl66_67
| ~ spl66_150 ),
inference(duplicate_literal_removal,[],[f5750]) ).
fof(f5750,plain,
( e0 = e2
| e0 = e2
| e2 = op(e2,e3)
| e2 = op(e1,e3)
| ~ spl66_67
| ~ spl66_150 ),
inference(forward_demodulation,[],[f5100,f957]) ).
fof(f5100,plain,
( e0 = e2
| e2 = op(e2,e3)
| e2 = op(e1,e3)
| e2 = op(e0,e3)
| ~ spl66_150 ),
inference(forward_demodulation,[],[f546,f1361]) ).
fof(f8019,plain,
( spl66_4
| spl66_2
| ~ spl66_47
| ~ spl66_67
| ~ spl66_150
| ~ spl66_163 ),
inference(avatar_split_clause,[],[f7981,f1416,f1360,f955,f859,f643,f653]) ).
fof(f7981,plain,
( e0 = e2
| e1 = e2
| ~ spl66_47
| ~ spl66_67
| ~ spl66_150
| ~ spl66_163 ),
inference(duplicate_literal_removal,[],[f7980]) ).
fof(f7980,plain,
( e0 = e2
| e1 = e2
| e0 = e2
| ~ spl66_47
| ~ spl66_67
| ~ spl66_150
| ~ spl66_163 ),
inference(forward_demodulation,[],[f7979,f957]) ).
fof(f7979,plain,
( e1 = e2
| e0 = e2
| e2 = op(e0,e3)
| ~ spl66_47
| ~ spl66_150
| ~ spl66_163 ),
inference(forward_demodulation,[],[f7271,f861]) ).
fof(f7271,plain,
( e0 = e2
| e2 = op(e1,e3)
| e2 = op(e0,e3)
| ~ spl66_150
| ~ spl66_163 ),
inference(duplicate_literal_removal,[],[f6229]) ).
fof(f6229,plain,
( e0 = e2
| e0 = e2
| e2 = op(e1,e3)
| e2 = op(e0,e3)
| ~ spl66_150
| ~ spl66_163 ),
inference(forward_demodulation,[],[f4907,f1361]) ).
fof(f4907,plain,
( e0 = e2
| e2 = op(e3,e3)
| e2 = op(e1,e3)
| e2 = op(e0,e3)
| ~ spl66_163 ),
inference(forward_demodulation,[],[f546,f1417]) ).
fof(f7967,plain,
( spl66_6
| spl66_4
| spl66_2
| ~ spl66_47
| ~ spl66_67
| ~ spl66_150
| ~ spl66_181 ),
inference(avatar_split_clause,[],[f7202,f1568,f1360,f955,f859,f643,f653,f663]) ).
fof(f7202,plain,
( e0 = e2
| e1 = e2
| e2 = e3
| ~ spl66_47
| ~ spl66_67
| ~ spl66_150
| ~ spl66_181 ),
inference(duplicate_literal_removal,[],[f7201]) ).
fof(f7201,plain,
( e0 = e2
| e1 = e2
| e0 = e2
| e2 = e3
| ~ spl66_47
| ~ spl66_67
| ~ spl66_150
| ~ spl66_181 ),
inference(forward_demodulation,[],[f5097,f957]) ).
fof(f5097,plain,
( e1 = e2
| e0 = e2
| e2 = e3
| e2 = op(e0,e3)
| ~ spl66_47
| ~ spl66_150
| ~ spl66_181 ),
inference(forward_demodulation,[],[f5096,f861]) ).
fof(f5096,plain,
( e0 = e2
| e2 = e3
| e2 = op(e1,e3)
| e2 = op(e0,e3)
| ~ spl66_150
| ~ spl66_181 ),
inference(forward_demodulation,[],[f3791,f1361]) ).
fof(f3791,plain,
( e2 = e3
| e2 = op(e3,e3)
| e2 = op(e1,e3)
| e2 = op(e0,e3)
| ~ spl66_181 ),
inference(forward_demodulation,[],[f546,f1570]) ).
fof(f7954,plain,
( spl66_6
| ~ spl66_153
| ~ spl66_181
| ~ spl66_193 ),
inference(avatar_split_clause,[],[f7952,f7893,f1568,f1373,f663]) ).
fof(f7952,plain,
( e2 = e3
| ~ spl66_153
| ~ spl66_181
| ~ spl66_193 ),
inference(forward_demodulation,[],[f1570,f7908]) ).
fof(f7923,plain,
( spl66_5
| spl66_6
| spl66_3
| ~ spl66_27
| ~ spl66_47
| ~ spl66_67
| ~ spl66_150 ),
inference(avatar_split_clause,[],[f7912,f1360,f955,f859,f763,f648,f663,f658]) ).
fof(f7912,plain,
( e0 = e3
| e2 = e3
| e1 = e3
| ~ spl66_27
| ~ spl66_47
| ~ spl66_67
| ~ spl66_150 ),
inference(duplicate_literal_removal,[],[f7911]) ).
fof(f7911,plain,
( e0 = e3
| e2 = e3
| e1 = e3
| e0 = e3
| ~ spl66_27
| ~ spl66_47
| ~ spl66_67
| ~ spl66_150 ),
inference(forward_demodulation,[],[f7826,f957]) ).
fof(f7826,plain,
( e2 = e3
| e1 = e3
| e0 = e3
| e3 = op(e0,e3)
| ~ spl66_27
| ~ spl66_47
| ~ spl66_150 ),
inference(forward_demodulation,[],[f5147,f765]) ).
fof(f5147,plain,
( e1 = e3
| e0 = e3
| e3 = op(e2,e3)
| e3 = op(e0,e3)
| ~ spl66_47
| ~ spl66_150 ),
inference(forward_demodulation,[],[f2893,f861]) ).
fof(f2893,plain,
( e0 = e3
| e3 = op(e2,e3)
| e3 = op(e1,e3)
| e3 = op(e0,e3)
| ~ spl66_150 ),
inference(forward_demodulation,[],[f548,f1361]) ).
fof(f7909,plain,
( spl66_47
| spl66_4
| spl66_1
| ~ spl66_27
| ~ spl66_67
| ~ spl66_150 ),
inference(avatar_split_clause,[],[f7588,f1360,f955,f763,f638,f653,f859]) ).
fof(f7588,plain,
( e0 = e1
| e1 = e2
| e1 = op(e1,e3)
| ~ spl66_27
| ~ spl66_67
| ~ spl66_150 ),
inference(duplicate_literal_removal,[],[f6887]) ).
fof(f6887,plain,
( e0 = e1
| e0 = e1
| e1 = e2
| e1 = op(e1,e3)
| ~ spl66_27
| ~ spl66_67
| ~ spl66_150 ),
inference(forward_demodulation,[],[f6812,f957]) ).
fof(f6812,plain,
( e0 = e1
| e1 = e2
| e1 = op(e1,e3)
| e1 = op(e0,e3)
| ~ spl66_27
| ~ spl66_150 ),
inference(forward_demodulation,[],[f2168,f1361]) ).
fof(f7898,plain,
( ~ spl66_27
| ~ spl66_153
| spl66_193 ),
inference(avatar_split_clause,[],[f7897,f7893,f1373,f763]) ).
fof(f7897,plain,
( e2 != op(e2,e3)
| ~ spl66_153
| spl66_193 ),
inference(forward_demodulation,[],[f7895,f1374]) ).
fof(f7896,plain,
( ~ spl66_134
| ~ spl66_193 ),
inference(avatar_split_clause,[],[f495,f7893,f1287]) ).
fof(f495,plain,
( e2 != op(e2,op(e2,e2))
| ~ sP2 ),
inference(cnf_transformation,[],[f184]) ).
fof(f7848,plain,
( ~ spl66_189
| ~ spl66_189
| spl66_192 ),
inference(avatar_split_clause,[],[f7847,f7843,f1800,f1800]) ).
fof(f7847,plain,
( e2 != op(e1,e2)
| ~ spl66_189
| spl66_192 ),
inference(forward_demodulation,[],[f7845,f1802]) ).
fof(f7846,plain,
( ~ spl66_136
| ~ spl66_192 ),
inference(avatar_split_clause,[],[f499,f7843,f1296]) ).
fof(f7834,plain,
( ~ spl66_136
| ~ spl66_47
| ~ spl66_162 ),
inference(avatar_split_clause,[],[f7744,f1412,f859,f1296]) ).
fof(f7744,plain,
( e1 != op(e1,e3)
| ~ sP1
| ~ spl66_162 ),
inference(forward_demodulation,[],[f498,f1413]) ).
fof(f7823,plain,
( spl66_6
| spl66_3
| ~ spl66_27
| ~ spl66_67
| ~ spl66_150
| ~ spl66_161 ),
inference(avatar_split_clause,[],[f7731,f1407,f1360,f955,f763,f648,f663]) ).
fof(f7731,plain,
( e0 = e3
| e2 = e3
| ~ spl66_27
| ~ spl66_67
| ~ spl66_150
| ~ spl66_161 ),
inference(duplicate_literal_removal,[],[f7730]) ).
fof(f7730,plain,
( e0 = e3
| e2 = e3
| e0 = e3
| ~ spl66_27
| ~ spl66_67
| ~ spl66_150
| ~ spl66_161 ),
inference(forward_demodulation,[],[f7729,f957]) ).
fof(f7729,plain,
( e2 = e3
| e0 = e3
| e3 = op(e0,e3)
| ~ spl66_27
| ~ spl66_150
| ~ spl66_161 ),
inference(duplicate_literal_removal,[],[f7728]) ).
fof(f7728,plain,
( e2 = e3
| e0 = e3
| e2 = e3
| e3 = op(e0,e3)
| ~ spl66_27
| ~ spl66_150
| ~ spl66_161 ),
inference(forward_demodulation,[],[f7323,f765]) ).
fof(f7323,plain,
( e0 = e3
| e2 = e3
| e3 = op(e2,e3)
| e3 = op(e0,e3)
| ~ spl66_150
| ~ spl66_161 ),
inference(forward_demodulation,[],[f5021,f1361]) ).
fof(f7815,plain,
( ~ spl66_63
| spl66_2
| ~ spl66_183 ),
inference(avatar_split_clause,[],[f7814,f1603,f643,f936]) ).
fof(f7814,plain,
( e0 = e2
| ~ sP21
| ~ spl66_183 ),
inference(forward_demodulation,[],[f420,f1605]) ).
fof(f420,plain,
( e0 = op(e0,e2)
| ~ sP21 ),
inference(cnf_transformation,[],[f165]) ).
fof(f7813,plain,
( ~ spl66_39
| spl66_5
| ~ spl66_162 ),
inference(avatar_split_clause,[],[f7812,f1412,f658,f821]) ).
fof(f7812,plain,
( e1 = e3
| ~ sP40
| ~ spl66_162 ),
inference(forward_demodulation,[],[f344,f1413]) ).
fof(f7811,plain,
( ~ spl66_38
| spl66_4
| ~ spl66_37 ),
inference(avatar_split_clause,[],[f5245,f811,f653,f816]) ).
fof(f5245,plain,
( e1 = e2
| ~ sP41
| ~ spl66_37 ),
inference(forward_demodulation,[],[f339,f813]) ).
fof(f339,plain,
( e1 = op(e2,e1)
| ~ sP41 ),
inference(cnf_transformation,[],[f145]) ).
fof(f145,plain,
( ( e1 = op(e1,e2)
& e1 = op(e2,e1)
& e2 = op(e1,e2)
& e2 = op(e2,e1) )
| ~ sP41 ),
inference(nnf_transformation,[],[f95]) ).
fof(f7809,plain,
( ~ spl66_36
| spl66_4
| ~ spl66_161 ),
inference(avatar_split_clause,[],[f7808,f1407,f653,f807]) ).
fof(f7808,plain,
( e1 = e2
| ~ sP42
| ~ spl66_161 ),
inference(forward_demodulation,[],[f336,f1408]) ).
fof(f7807,plain,
( ~ spl66_40
| spl66_189 ),
inference(avatar_split_clause,[],[f346,f1800,f826]) ).
fof(f346,plain,
( e2 = op(e1,e2)
| ~ sP39 ),
inference(cnf_transformation,[],[f147]) ).
fof(f7806,plain,
( ~ spl66_65
| spl66_3
| ~ spl66_185 ),
inference(avatar_split_clause,[],[f7805,f1770,f648,f946]) ).
fof(f7805,plain,
( e0 = e3
| ~ sP19
| ~ spl66_185 ),
inference(forward_demodulation,[],[f428,f1772]) ).
fof(f7804,plain,
( ~ spl66_61
| spl66_2
| ~ spl66_145 ),
inference(avatar_split_clause,[],[f7803,f1338,f643,f927]) ).
fof(f7803,plain,
( e0 = e2
| ~ sP22
| ~ spl66_145 ),
inference(forward_demodulation,[],[f415,f1339]) ).
fof(f415,plain,
( e0 = op(e3,e0)
| ~ sP22 ),
inference(cnf_transformation,[],[f164]) ).
fof(f7802,plain,
( ~ spl66_64
| spl66_174 ),
inference(avatar_split_clause,[],[f423,f1483,f941]) ).
fof(f423,plain,
( e0 = op(e1,e0)
| ~ sP20 ),
inference(cnf_transformation,[],[f166]) ).
fof(f166,plain,
( ( e0 = op(e0,e1)
& e0 = op(e1,e0)
& e1 = op(e0,e1)
& e1 = op(e1,e0) )
| ~ sP20 ),
inference(nnf_transformation,[],[f74]) ).
fof(f7742,plain,
( ~ spl66_134
| ~ spl66_37
| ~ spl66_156 ),
inference(avatar_split_clause,[],[f7706,f1386,f811,f1287]) ).
fof(f7706,plain,
( ~ sP2
| ~ spl66_37
| ~ spl66_156 ),
inference(trivial_inequality_removal,[],[f7705]) ).
fof(f7694,plain,
( spl66_2
| ~ spl66_145
| ~ spl66_162
| ~ spl66_175
| ~ spl66_188 ),
inference(avatar_split_clause,[],[f7675,f1796,f1487,f1412,f1338,f643]) ).
fof(f7675,plain,
( e0 = e2
| ~ spl66_145
| ~ spl66_162
| ~ spl66_175
| ~ spl66_188 ),
inference(forward_demodulation,[],[f6166,f1489]) ).
fof(f6166,plain,
( e2 = op(e2,e0)
| ~ spl66_145
| ~ spl66_162
| ~ spl66_188 ),
inference(forward_demodulation,[],[f1339,f4267]) ).
fof(f4267,plain,
( e2 = e3
| ~ spl66_162
| ~ spl66_188 ),
inference(superposition,[],[f1798,f1413]) ).
fof(f7580,plain,
( ~ spl66_41
| spl66_2
| ~ spl66_72 ),
inference(avatar_split_clause,[],[f7394,f979,f643,f831]) ).
fof(f7394,plain,
( e0 = e2
| ~ sP38
| ~ spl66_72 ),
inference(forward_demodulation,[],[f350,f981]) ).
fof(f7564,plain,
( spl66_172
| spl66_5
| spl66_1
| ~ spl66_17
| ~ spl66_150
| ~ spl66_176 ),
inference(avatar_split_clause,[],[f6866,f1491,f1360,f715,f638,f658,f1455]) ).
fof(f6866,plain,
( e0 = e1
| e1 = e3
| e1 = op(e3,e2)
| ~ spl66_17
| ~ spl66_150
| ~ spl66_176 ),
inference(duplicate_literal_removal,[],[f6639]) ).
fof(f6639,plain,
( e0 = e1
| e1 = e3
| e0 = e1
| e1 = op(e3,e2)
| ~ spl66_17
| ~ spl66_150
| ~ spl66_176 ),
inference(forward_demodulation,[],[f2918,f1493]) ).
fof(f2918,plain,
( e1 = e3
| e0 = e1
| e1 = op(e3,e2)
| e1 = op(e3,e0)
| ~ spl66_17
| ~ spl66_150 ),
inference(forward_demodulation,[],[f2917,f717]) ).
fof(f2917,plain,
( e0 = e1
| e1 = op(e3,e2)
| e1 = op(e3,e1)
| e1 = op(e3,e0)
| ~ spl66_150 ),
inference(forward_demodulation,[],[f543,f1361]) ).
fof(f7548,plain,
( spl66_5
| ~ spl66_153
| ~ spl66_156 ),
inference(avatar_split_clause,[],[f7547,f1386,f1373,f658]) ).
fof(f7547,plain,
( e1 = e3
| ~ spl66_153
| ~ spl66_156 ),
inference(forward_demodulation,[],[f1374,f1387]) ).
fof(f7546,plain,
( spl66_153
| spl66_6
| ~ spl66_27
| ~ spl66_37
| ~ spl66_42 ),
inference(avatar_split_clause,[],[f7169,f835,f811,f763,f663,f1373]) ).
fof(f7169,plain,
( e2 = e3
| e3 = op(e2,e2)
| ~ spl66_27
| ~ spl66_37
| ~ spl66_42 ),
inference(duplicate_literal_removal,[],[f7168]) ).
fof(f7168,plain,
( e2 = e3
| e2 = e3
| e3 = op(e2,e2)
| ~ spl66_27
| ~ spl66_37
| ~ spl66_42 ),
inference(forward_demodulation,[],[f6578,f765]) ).
fof(f6578,plain,
( e2 = e3
| e3 = op(e2,e3)
| e3 = op(e2,e2)
| ~ spl66_37
| ~ spl66_42 ),
inference(duplicate_literal_removal,[],[f6577]) ).
fof(f6577,plain,
( e2 = e3
| e2 = e3
| e3 = op(e2,e3)
| e3 = op(e2,e2)
| ~ spl66_37
| ~ spl66_42 ),
inference(forward_demodulation,[],[f6576,f837]) ).
fof(f7537,plain,
( ~ spl66_29
| spl66_191 ),
inference(avatar_split_clause,[],[f310,f4451,f773]) ).
fof(f310,plain,
( e2 = op(e3,e2)
| ~ sP48 ),
inference(cnf_transformation,[],[f138]) ).
fof(f7470,plain,
( spl66_1
| ~ spl66_72
| ~ spl66_154
| ~ spl66_162
| ~ spl66_188 ),
inference(avatar_split_clause,[],[f7468,f1796,f1412,f1377,f979,f638]) ).
fof(f7468,plain,
( e0 = e1
| ~ spl66_72
| ~ spl66_154
| ~ spl66_162
| ~ spl66_188 ),
inference(forward_demodulation,[],[f7467,f981]) ).
fof(f7467,plain,
( e1 = op(e0,e2)
| ~ spl66_154
| ~ spl66_162
| ~ spl66_188 ),
inference(forward_demodulation,[],[f1378,f4267]) ).
fof(f7402,plain,
( ~ spl66_45
| spl66_2
| ~ spl66_72 ),
inference(avatar_split_clause,[],[f7400,f979,f643,f850]) ).
fof(f7400,plain,
( e0 = e2
| ~ sP35
| ~ spl66_72 ),
inference(forward_demodulation,[],[f362,f981]) ).
fof(f7399,plain,
( ~ spl66_26
| spl66_3
| ~ spl66_150 ),
inference(avatar_split_clause,[],[f7366,f1360,f648,f759]) ).
fof(f7366,plain,
( e0 = e3
| ~ sP50
| ~ spl66_150 ),
inference(forward_demodulation,[],[f304,f1361]) ).
fof(f7398,plain,
( ~ spl66_71
| spl66_2
| ~ spl66_42 ),
inference(avatar_split_clause,[],[f7397,f835,f643,f975]) ).
fof(f7397,plain,
( e0 = e2
| ~ sP14
| ~ spl66_42 ),
inference(forward_demodulation,[],[f446,f837]) ).
fof(f7396,plain,
( ~ spl66_29
| spl66_6
| ~ spl66_161 ),
inference(avatar_split_clause,[],[f7373,f1407,f663,f773]) ).
fof(f7373,plain,
( e2 = e3
| ~ sP48
| ~ spl66_161 ),
inference(forward_demodulation,[],[f311,f1408]) ).
fof(f7395,plain,
( ~ spl66_41
| spl66_3
| ~ spl66_186 ),
inference(avatar_split_clause,[],[f7393,f1774,f648,f831]) ).
fof(f7393,plain,
( e0 = e3
| ~ sP38
| ~ spl66_186 ),
inference(forward_demodulation,[],[f352,f1776]) ).
fof(f7392,plain,
( ~ spl66_30
| spl66_3
| ~ spl66_176 ),
inference(avatar_split_clause,[],[f6863,f1491,f648,f778]) ).
fof(f6863,plain,
( e0 = e3
| ~ sP47
| ~ spl66_176 ),
inference(forward_demodulation,[],[f316,f1493]) ).
fof(f316,plain,
( e3 = op(e3,e0)
| ~ sP47 ),
inference(cnf_transformation,[],[f139]) ).
fof(f7390,plain,
( ~ spl66_28
| spl66_6
| ~ spl66_27 ),
inference(avatar_split_clause,[],[f7381,f763,f663,f768]) ).
fof(f7381,plain,
( e2 = e3
| ~ sP49
| ~ spl66_27 ),
inference(forward_demodulation,[],[f307,f765]) ).
fof(f307,plain,
( e3 = op(e2,e3)
| ~ sP49 ),
inference(cnf_transformation,[],[f137]) ).
fof(f137,plain,
( ( e3 = op(e3,e2)
& e3 = op(e2,e3)
& e2 = op(e3,e2)
& e2 = op(e2,e3) )
| ~ sP49 ),
inference(nnf_transformation,[],[f103]) ).
fof(f7376,plain,
( ~ spl66_68
| spl66_6
| ~ spl66_27 ),
inference(avatar_split_clause,[],[f7375,f763,f663,f960]) ).
fof(f7375,plain,
( e2 = e3
| ~ sP17
| ~ spl66_27 ),
inference(forward_demodulation,[],[f435,f765]) ).
fof(f7374,plain,
( ~ spl66_29
| spl66_6
| ~ spl66_12 ),
inference(avatar_split_clause,[],[f7372,f691,f663,f773]) ).
fof(f7372,plain,
( e2 = e3
| ~ sP48
| ~ spl66_12 ),
inference(forward_demodulation,[],[f310,f693]) ).
fof(f7371,plain,
( ~ spl66_16
| spl66_5
| ~ spl66_17 ),
inference(avatar_split_clause,[],[f7368,f715,f658,f711]) ).
fof(f7368,plain,
( e1 = e3
| ~ sP58
| ~ spl66_17 ),
inference(forward_demodulation,[],[f271,f717]) ).
fof(f271,plain,
( e1 = op(e3,e1)
| ~ sP58 ),
inference(cnf_transformation,[],[f128]) ).
fof(f128,plain,
( ( e1 = op(e1,e3)
& e1 = op(e3,e1)
& e3 = op(e1,e3)
& e3 = op(e3,e1) )
| ~ sP58 ),
inference(nnf_transformation,[],[f112]) ).
fof(f7367,plain,
( ~ spl66_26
| spl66_6
| ~ spl66_12 ),
inference(avatar_split_clause,[],[f7365,f691,f663,f759]) ).
fof(f7365,plain,
( e2 = e3
| ~ sP50
| ~ spl66_12 ),
inference(forward_demodulation,[],[f302,f693]) ).
fof(f302,plain,
( e2 = op(e3,e2)
| ~ sP50 ),
inference(cnf_transformation,[],[f136]) ).
fof(f7364,plain,
( ~ spl66_13
| spl66_6
| ~ spl66_27 ),
inference(avatar_split_clause,[],[f7363,f763,f663,f696]) ).
fof(f7363,plain,
( e2 = e3
| ~ sP61
| ~ spl66_27 ),
inference(forward_demodulation,[],[f258,f765]) ).
fof(f7362,plain,
( ~ spl66_28
| spl66_191 ),
inference(avatar_split_clause,[],[f306,f4451,f768]) ).
fof(f306,plain,
( e2 = op(e3,e2)
| ~ sP49 ),
inference(cnf_transformation,[],[f137]) ).
fof(f7296,plain,
( spl66_5
| spl66_6
| ~ spl66_32
| ~ spl66_37
| ~ spl66_42
| ~ spl66_167 ),
inference(avatar_split_clause,[],[f7246,f1433,f835,f811,f787,f663,f658]) ).
fof(f7246,plain,
( e2 = e3
| e1 = e3
| ~ spl66_32
| ~ spl66_37
| ~ spl66_42
| ~ spl66_167 ),
inference(duplicate_literal_removal,[],[f7245]) ).
fof(f7245,plain,
( e2 = e3
| e2 = e3
| e1 = e3
| ~ spl66_32
| ~ spl66_37
| ~ spl66_42
| ~ spl66_167 ),
inference(forward_demodulation,[],[f7244,f837]) ).
fof(f7244,plain,
( e2 = e3
| e1 = e3
| e3 = op(e2,e0)
| ~ spl66_32
| ~ spl66_37
| ~ spl66_167 ),
inference(duplicate_literal_removal,[],[f7243]) ).
fof(f7243,plain,
( e2 = e3
| e2 = e3
| e1 = e3
| e3 = op(e2,e0)
| ~ spl66_32
| ~ spl66_37
| ~ spl66_167 ),
inference(forward_demodulation,[],[f5914,f813]) ).
fof(f5914,plain,
( e2 = e3
| e1 = e3
| e3 = op(e2,e1)
| e3 = op(e2,e0)
| ~ spl66_32
| ~ spl66_167 ),
inference(forward_demodulation,[],[f2407,f789]) ).
fof(f7269,plain,
( spl66_163
| spl66_2
| ~ spl66_32
| ~ spl66_37
| ~ spl66_42 ),
inference(avatar_split_clause,[],[f7187,f835,f811,f787,f643,f1416]) ).
fof(f7187,plain,
( e0 = e2
| e0 = op(e2,e3)
| ~ spl66_32
| ~ spl66_37
| ~ spl66_42 ),
inference(duplicate_literal_removal,[],[f7186]) ).
fof(f7186,plain,
( e0 = e2
| e0 = e2
| e0 = op(e2,e3)
| ~ spl66_32
| ~ spl66_37
| ~ spl66_42 ),
inference(forward_demodulation,[],[f7147,f789]) ).
fof(f7147,plain,
( e0 = e2
| e0 = op(e2,e3)
| e0 = op(e2,e2)
| ~ spl66_37
| ~ spl66_42 ),
inference(duplicate_literal_removal,[],[f6574]) ).
fof(f7230,plain,
( spl66_167
| spl66_4
| ~ spl66_32
| ~ spl66_37
| ~ spl66_42 ),
inference(avatar_split_clause,[],[f7167,f835,f811,f787,f653,f1433]) ).
fof(f7167,plain,
( e1 = e2
| e1 = op(e2,e3)
| ~ spl66_32
| ~ spl66_37
| ~ spl66_42 ),
inference(duplicate_literal_removal,[],[f7166]) ).
fof(f7166,plain,
( e1 = e2
| e1 = e2
| e1 = op(e2,e3)
| ~ spl66_32
| ~ spl66_37
| ~ spl66_42 ),
inference(forward_demodulation,[],[f6581,f789]) ).
fof(f6581,plain,
( e1 = e2
| e1 = op(e2,e3)
| e1 = op(e2,e2)
| ~ spl66_37
| ~ spl66_42 ),
inference(duplicate_literal_removal,[],[f6580]) ).
fof(f7198,plain,
( ~ spl66_19
| spl66_1
| ~ spl66_144 ),
inference(avatar_split_clause,[],[f5343,f1334,f638,f725]) ).
fof(f5343,plain,
( e0 = e1
| ~ sP56
| ~ spl66_144 ),
inference(forward_demodulation,[],[f280,f1335]) ).
fof(f7179,plain,
( spl66_6
| ~ spl66_27
| ~ spl66_32
| ~ spl66_37
| ~ spl66_42 ),
inference(avatar_split_clause,[],[f7171,f835,f811,f787,f763,f663]) ).
fof(f7171,plain,
( e2 = e3
| ~ spl66_27
| ~ spl66_32
| ~ spl66_37
| ~ spl66_42 ),
inference(duplicate_literal_removal,[],[f7170]) ).
fof(f7170,plain,
( e2 = e3
| e2 = e3
| ~ spl66_27
| ~ spl66_32
| ~ spl66_37
| ~ spl66_42 ),
inference(forward_demodulation,[],[f7169,f789]) ).
fof(f7146,plain,
( spl66_1
| ~ spl66_62
| ~ spl66_174 ),
inference(avatar_split_clause,[],[f7133,f1483,f931,f638]) ).
fof(f7133,plain,
( e0 = e1
| ~ spl66_62
| ~ spl66_174 ),
inference(superposition,[],[f1485,f933]) ).
fof(f7065,plain,
( spl66_2
| ~ spl66_145
| ~ spl66_176 ),
inference(avatar_split_clause,[],[f6903,f1491,f1338,f643]) ).
fof(f6903,plain,
( e0 = e2
| ~ spl66_145
| ~ spl66_176 ),
inference(forward_demodulation,[],[f1339,f1493]) ).
fof(f6865,plain,
( spl66_3
| spl66_6
| ~ spl66_27
| ~ spl66_37
| ~ spl66_42
| ~ spl66_147 ),
inference(avatar_split_clause,[],[f6802,f1347,f835,f811,f763,f663,f648]) ).
fof(f6802,plain,
( e2 = e3
| e0 = e3
| ~ spl66_27
| ~ spl66_37
| ~ spl66_42
| ~ spl66_147 ),
inference(duplicate_literal_removal,[],[f6801]) ).
fof(f6801,plain,
( e2 = e3
| e2 = e3
| e0 = e3
| ~ spl66_27
| ~ spl66_37
| ~ spl66_42
| ~ spl66_147 ),
inference(forward_demodulation,[],[f3396,f837]) ).
fof(f3396,plain,
( e2 = e3
| e0 = e3
| e3 = op(e2,e0)
| ~ spl66_27
| ~ spl66_37
| ~ spl66_147 ),
inference(duplicate_literal_removal,[],[f3395]) ).
fof(f3395,plain,
( e2 = e3
| e2 = e3
| e0 = e3
| e3 = op(e2,e0)
| ~ spl66_27
| ~ spl66_37
| ~ spl66_147 ),
inference(forward_demodulation,[],[f2501,f765]) ).
fof(f2501,plain,
( e2 = e3
| e0 = e3
| e3 = op(e2,e3)
| e3 = op(e2,e0)
| ~ spl66_37
| ~ spl66_147 ),
inference(forward_demodulation,[],[f2500,f813]) ).
fof(f2500,plain,
( e0 = e3
| e3 = op(e2,e3)
| e3 = op(e2,e1)
| e3 = op(e2,e0)
| ~ spl66_147 ),
inference(forward_demodulation,[],[f539,f1348]) ).
fof(f6864,plain,
( ~ spl66_30
| spl66_6
| ~ spl66_12 ),
inference(avatar_split_clause,[],[f6861,f691,f663,f778]) ).
fof(f6861,plain,
( e2 = e3
| ~ sP47
| ~ spl66_12 ),
inference(forward_demodulation,[],[f314,f693]) ).
fof(f6860,plain,
( ~ spl66_14
| spl66_6
| ~ spl66_27 ),
inference(avatar_split_clause,[],[f6859,f763,f663,f701]) ).
fof(f6859,plain,
( e2 = e3
| ~ sP60
| ~ spl66_27 ),
inference(forward_demodulation,[],[f262,f765]) ).
fof(f6858,plain,
( ~ spl66_11
| spl66_6
| ~ spl66_27 ),
inference(avatar_split_clause,[],[f6857,f763,f663,f687]) ).
fof(f6857,plain,
( e2 = e3
| ~ sP62
| ~ spl66_27 ),
inference(forward_demodulation,[],[f254,f765]) ).
fof(f254,plain,
( e3 = op(e2,e3)
| ~ sP62 ),
inference(cnf_transformation,[],[f124]) ).
fof(f6856,plain,
( ~ spl66_15
| spl66_181 ),
inference(avatar_split_clause,[],[f266,f1568,f706]) ).
fof(f266,plain,
( e3 = op(e2,e3)
| ~ sP59 ),
inference(cnf_transformation,[],[f127]) ).
fof(f6852,plain,
( spl66_3
| ~ spl66_179
| ~ spl66_180 ),
inference(avatar_split_clause,[],[f6838,f1564,f1535,f648]) ).
fof(f6838,plain,
( e0 = e3
| ~ spl66_179
| ~ spl66_180 ),
inference(superposition,[],[f1537,f1566]) ).
fof(f6769,plain,
( spl66_2
| ~ spl66_37
| ~ spl66_160 ),
inference(avatar_split_clause,[],[f4027,f1403,f811,f643]) ).
fof(f4027,plain,
( e0 = e2
| ~ spl66_37
| ~ spl66_160 ),
inference(superposition,[],[f1404,f813]) ).
fof(f6746,plain,
( spl66_157
| spl66_1
| spl66_2
| ~ spl66_37
| ~ spl66_177
| ~ spl66_188 ),
inference(avatar_split_clause,[],[f6062,f1796,f1503,f811,f643,f638,f1390]) ).
fof(f6062,plain,
( e0 = e2
| e0 = e1
| e0 = op(e3,e1)
| ~ spl66_37
| ~ spl66_177
| ~ spl66_188 ),
inference(duplicate_literal_removal,[],[f3416]) ).
fof(f3416,plain,
( e0 = e2
| e0 = e1
| e0 = e2
| e0 = op(e3,e1)
| ~ spl66_37
| ~ spl66_177
| ~ spl66_188 ),
inference(forward_demodulation,[],[f2779,f1798]) ).
fof(f2779,plain,
( e0 = e1
| e0 = e2
| e0 = op(e3,e1)
| e0 = op(e1,e1)
| ~ spl66_37
| ~ spl66_177 ),
inference(forward_demodulation,[],[f2730,f1505]) ).
fof(f2730,plain,
( e0 = e2
| e0 = op(e3,e1)
| e0 = op(e1,e1)
| e0 = op(e0,e1)
| ~ spl66_37 ),
inference(forward_demodulation,[],[f526,f813]) ).
fof(f6707,plain,
( spl66_6
| spl66_2
| ~ spl66_12
| ~ spl66_17
| ~ spl66_150
| ~ spl66_176 ),
inference(avatar_split_clause,[],[f6647,f1491,f1360,f715,f691,f643,f663]) ).
fof(f6647,plain,
( e0 = e2
| e2 = e3
| ~ spl66_12
| ~ spl66_17
| ~ spl66_150
| ~ spl66_176 ),
inference(duplicate_literal_removal,[],[f6646]) ).
fof(f6646,plain,
( e0 = e2
| e0 = e2
| e2 = e3
| ~ spl66_12
| ~ spl66_17
| ~ spl66_150
| ~ spl66_176 ),
inference(forward_demodulation,[],[f6645,f1493]) ).
fof(f6645,plain,
( e0 = e2
| e2 = e3
| e2 = op(e3,e0)
| ~ spl66_12
| ~ spl66_17
| ~ spl66_150 ),
inference(forward_demodulation,[],[f6564,f1361]) ).
fof(f6564,plain,
( e2 = e3
| e2 = op(e3,e3)
| e2 = op(e3,e0)
| ~ spl66_12
| ~ spl66_17 ),
inference(duplicate_literal_removal,[],[f3413]) ).
fof(f6705,plain,
( ~ spl66_149
| spl66_98
| ~ spl66_158 ),
inference(avatar_split_clause,[],[f2862,f1394,f1107,f1355]) ).
fof(f2862,plain,
( e3 != op(e0,e2)
| spl66_98
| ~ spl66_158 ),
inference(superposition,[],[f1109,f1395]) ).
fof(f6659,plain,
( ~ spl66_18
| spl66_4
| ~ spl66_37 ),
inference(avatar_split_clause,[],[f5346,f811,f653,f720]) ).
fof(f5346,plain,
( e1 = e2
| ~ sP57
| ~ spl66_37 ),
inference(forward_demodulation,[],[f275,f813]) ).
fof(f6657,plain,
( ~ spl66_20
| spl66_4
| ~ spl66_170 ),
inference(avatar_split_clause,[],[f5340,f1446,f653,f730]) ).
fof(f5340,plain,
( e1 = e2
| ~ sP55
| ~ spl66_170 ),
inference(forward_demodulation,[],[f284,f1447]) ).
fof(f6655,plain,
( ~ spl66_13
| spl66_2
| ~ spl66_147 ),
inference(avatar_split_clause,[],[f6342,f1347,f643,f696]) ).
fof(f6342,plain,
( e0 = e2
| ~ sP61
| ~ spl66_147 ),
inference(forward_demodulation,[],[f260,f1348]) ).
fof(f6638,plain,
( spl66_6
| ~ spl66_42
| ~ spl66_173 ),
inference(avatar_split_clause,[],[f2121,f1459,f835,f663]) ).
fof(f2121,plain,
( e2 = e3
| ~ spl66_42
| ~ spl66_173 ),
inference(superposition,[],[f1460,f837]) ).
fof(f6562,plain,
( spl66_4
| spl66_1
| ~ spl66_67
| ~ spl66_150
| ~ spl66_161
| ~ spl66_163 ),
inference(avatar_split_clause,[],[f6396,f1416,f1407,f1360,f955,f638,f653]) ).
fof(f6396,plain,
( e0 = e1
| e1 = e2
| ~ spl66_67
| ~ spl66_150
| ~ spl66_161
| ~ spl66_163 ),
inference(duplicate_literal_removal,[],[f6395]) ).
fof(f6395,plain,
( e0 = e1
| e0 = e1
| e1 = e2
| ~ spl66_67
| ~ spl66_150
| ~ spl66_161
| ~ spl66_163 ),
inference(forward_demodulation,[],[f6394,f957]) ).
fof(f6394,plain,
( e0 = e1
| e1 = e2
| e1 = op(e0,e3)
| ~ spl66_150
| ~ spl66_161
| ~ spl66_163 ),
inference(duplicate_literal_removal,[],[f6393]) ).
fof(f6393,plain,
( e0 = e1
| e1 = e2
| e0 = e1
| e1 = op(e0,e3)
| ~ spl66_150
| ~ spl66_161
| ~ spl66_163 ),
inference(forward_demodulation,[],[f3125,f1417]) ).
fof(f3125,plain,
( e1 = e2
| e0 = e1
| e1 = op(e2,e3)
| e1 = op(e0,e3)
| ~ spl66_150
| ~ spl66_161 ),
inference(forward_demodulation,[],[f2895,f1408]) ).
fof(f2895,plain,
( e0 = e1
| e1 = op(e2,e3)
| e1 = op(e1,e3)
| e1 = op(e0,e3)
| ~ spl66_150 ),
inference(forward_demodulation,[],[f544,f1361]) ).
fof(f6543,plain,
( ~ spl66_34
| spl66_6
| ~ spl66_158 ),
inference(avatar_split_clause,[],[f6510,f1394,f663,f797]) ).
fof(f6510,plain,
( e2 = e3
| ~ sP44
| ~ spl66_158 ),
inference(forward_demodulation,[],[f327,f1395]) ).
fof(f6503,plain,
( ~ spl66_68
| spl66_3
| ~ spl66_163 ),
inference(avatar_split_clause,[],[f6360,f1416,f648,f960]) ).
fof(f6360,plain,
( e0 = e3
| ~ sP17
| ~ spl66_163 ),
inference(forward_demodulation,[],[f435,f1417]) ).
fof(f6502,plain,
( ~ spl66_41
| spl66_4
| ~ spl66_178 ),
inference(avatar_split_clause,[],[f6501,f1507,f653,f831]) ).
fof(f6501,plain,
( e1 = e2
| ~ sP38
| ~ spl66_178 ),
inference(forward_demodulation,[],[f350,f1509]) ).
fof(f6500,plain,
( ~ spl66_45
| spl66_2
| ~ spl66_171 ),
inference(avatar_split_clause,[],[f6498,f1451,f643,f850]) ).
fof(f6498,plain,
( e0 = e2
| ~ sP35
| ~ spl66_171 ),
inference(forward_demodulation,[],[f364,f1452]) ).
fof(f6497,plain,
( ~ spl66_69
| spl66_6
| ~ spl66_161 ),
inference(avatar_split_clause,[],[f6354,f1407,f663,f965]) ).
fof(f6354,plain,
( e2 = e3
| ~ sP16
| ~ spl66_161 ),
inference(forward_demodulation,[],[f439,f1408]) ).
fof(f6482,plain,
( spl66_182
| ~ spl66_42
| ~ spl66_146
| ~ spl66_173 ),
inference(avatar_split_clause,[],[f6455,f1459,f1342,f835,f1599]) ).
fof(f6455,plain,
( e2 = op(e0,e1)
| ~ spl66_42
| ~ spl66_146
| ~ spl66_173 ),
inference(forward_demodulation,[],[f1343,f2121]) ).
fof(f6464,plain,
( spl66_147
| ~ spl66_42
| ~ spl66_135 ),
inference(avatar_split_clause,[],[f6327,f1291,f835,f1347]) ).
fof(f6441,plain,
( spl66_3
| ~ spl66_37
| ~ spl66_67
| ~ spl66_150
| ~ spl66_160
| ~ spl66_161
| ~ spl66_163 ),
inference(avatar_split_clause,[],[f6438,f1416,f1407,f1403,f1360,f955,f811,f648]) ).
fof(f6438,plain,
( e0 = e3
| ~ spl66_37
| ~ spl66_67
| ~ spl66_150
| ~ spl66_160
| ~ spl66_161
| ~ spl66_163 ),
inference(duplicate_literal_removal,[],[f6437]) ).
fof(f6437,plain,
( e0 = e3
| e0 = e3
| ~ spl66_37
| ~ spl66_67
| ~ spl66_150
| ~ spl66_160
| ~ spl66_161
| ~ spl66_163 ),
inference(forward_demodulation,[],[f6400,f4027]) ).
fof(f6400,plain,
( e0 = e3
| e2 = e3
| ~ spl66_67
| ~ spl66_150
| ~ spl66_161
| ~ spl66_163 ),
inference(duplicate_literal_removal,[],[f6399]) ).
fof(f6399,plain,
( e0 = e3
| e0 = e3
| e2 = e3
| ~ spl66_67
| ~ spl66_150
| ~ spl66_161
| ~ spl66_163 ),
inference(forward_demodulation,[],[f6398,f957]) ).
fof(f6398,plain,
( e0 = e3
| e2 = e3
| e3 = op(e0,e3)
| ~ spl66_150
| ~ spl66_161
| ~ spl66_163 ),
inference(duplicate_literal_removal,[],[f6397]) ).
fof(f6397,plain,
( e0 = e3
| e2 = e3
| e0 = e3
| e3 = op(e0,e3)
| ~ spl66_150
| ~ spl66_161
| ~ spl66_163 ),
inference(forward_demodulation,[],[f2880,f1417]) ).
fof(f2880,plain,
( e2 = e3
| e0 = e3
| e3 = op(e2,e3)
| e3 = op(e0,e3)
| ~ spl66_150
| ~ spl66_161 ),
inference(forward_demodulation,[],[f1553,f1408]) ).
fof(f1553,plain,
( e0 = e3
| e3 = op(e2,e3)
| e3 = op(e1,e3)
| e3 = op(e0,e3)
| ~ spl66_150 ),
inference(forward_demodulation,[],[f548,f1361]) ).
fof(f6435,plain,
( spl66_3
| ~ spl66_12
| ~ spl66_37
| ~ spl66_160
| ~ spl66_176 ),
inference(avatar_split_clause,[],[f6433,f1491,f1403,f811,f691,f648]) ).
fof(f6433,plain,
( e0 = e3
| ~ spl66_12
| ~ spl66_37
| ~ spl66_160
| ~ spl66_176 ),
inference(forward_demodulation,[],[f6058,f1493]) ).
fof(f6058,plain,
( e3 = op(e3,e0)
| ~ spl66_12
| ~ spl66_37
| ~ spl66_160 ),
inference(forward_demodulation,[],[f693,f4027]) ).
fof(f6390,plain,
( spl66_3
| spl66_6
| ~ spl66_37
| ~ spl66_42
| ~ spl66_147
| ~ spl66_163 ),
inference(avatar_split_clause,[],[f6228,f1416,f1347,f835,f811,f663,f648]) ).
fof(f6228,plain,
( e2 = e3
| e0 = e3
| ~ spl66_37
| ~ spl66_42
| ~ spl66_147
| ~ spl66_163 ),
inference(duplicate_literal_removal,[],[f6227]) ).
fof(f6227,plain,
( e2 = e3
| e0 = e3
| e2 = e3
| ~ spl66_37
| ~ spl66_42
| ~ spl66_147
| ~ spl66_163 ),
inference(forward_demodulation,[],[f6226,f837]) ).
fof(f6226,plain,
( e0 = e3
| e2 = e3
| e3 = op(e2,e0)
| ~ spl66_37
| ~ spl66_147
| ~ spl66_163 ),
inference(duplicate_literal_removal,[],[f6225]) ).
fof(f6225,plain,
( e0 = e3
| e2 = e3
| e0 = e3
| e3 = op(e2,e0)
| ~ spl66_37
| ~ spl66_147
| ~ spl66_163 ),
inference(forward_demodulation,[],[f4818,f1348]) ).
fof(f4818,plain,
( e2 = e3
| e0 = e3
| e3 = op(e2,e2)
| e3 = op(e2,e0)
| ~ spl66_37
| ~ spl66_163 ),
inference(forward_demodulation,[],[f4275,f813]) ).
fof(f6383,plain,
( ~ spl66_41
| spl66_176 ),
inference(avatar_split_clause,[],[f351,f1491,f831]) ).
fof(f351,plain,
( e0 = op(e3,e0)
| ~ sP38 ),
inference(cnf_transformation,[],[f148]) ).
fof(f6381,plain,
( ~ spl66_136
| ~ spl66_158
| ~ spl66_161 ),
inference(avatar_split_clause,[],[f6380,f1407,f1394,f1296]) ).
fof(f6380,plain,
( ~ sP1
| ~ spl66_158
| ~ spl66_161 ),
inference(trivial_inequality_removal,[],[f6379]) ).
fof(f6376,plain,
( ~ spl66_138
| ~ spl66_183 ),
inference(avatar_split_clause,[],[f6374,f1603,f1305]) ).
fof(f6374,plain,
( ~ sP0
| ~ spl66_183 ),
inference(trivial_inequality_removal,[],[f6373]) ).
fof(f6370,plain,
( ~ spl66_184
| spl66_141
| ~ spl66_184 ),
inference(avatar_split_clause,[],[f2763,f1666,f1319,f1666]) ).
fof(f2763,plain,
( e1 != op(e3,e1)
| spl66_141
| ~ spl66_184 ),
inference(superposition,[],[f1321,f1668]) ).
fof(f6369,plain,
( ~ spl66_66
| spl66_3
| ~ spl66_150 ),
inference(avatar_split_clause,[],[f6345,f1360,f648,f951]) ).
fof(f6345,plain,
( e0 = e3
| ~ sP18
| ~ spl66_150 ),
inference(forward_demodulation,[],[f432,f1361]) ).
fof(f6368,plain,
( ~ spl66_70
| spl66_3
| ~ spl66_67 ),
inference(avatar_split_clause,[],[f6348,f955,f648,f970]) ).
fof(f6348,plain,
( e0 = e3
| ~ sP15
| ~ spl66_67 ),
inference(forward_demodulation,[],[f443,f957]) ).
fof(f443,plain,
( e3 = op(e0,e3)
| ~ sP15 ),
inference(cnf_transformation,[],[f171]) ).
fof(f171,plain,
( ( e3 = op(e3,e0)
& e3 = op(e0,e3)
& e0 = op(e3,e0)
& e0 = op(e0,e3) )
| ~ sP15 ),
inference(nnf_transformation,[],[f69]) ).
fof(f6361,plain,
( ~ spl66_68
| spl66_2
| ~ spl66_145 ),
inference(avatar_split_clause,[],[f6359,f1338,f643,f960]) ).
fof(f6359,plain,
( e0 = e2
| ~ sP17
| ~ spl66_145 ),
inference(forward_demodulation,[],[f434,f1339]) ).
fof(f434,plain,
( e0 = op(e3,e0)
| ~ sP17 ),
inference(cnf_transformation,[],[f169]) ).
fof(f6358,plain,
( ~ spl66_41
| spl66_2
| ~ spl66_145 ),
inference(avatar_split_clause,[],[f6357,f1338,f643,f831]) ).
fof(f6357,plain,
( e0 = e2
| ~ sP38
| ~ spl66_145 ),
inference(forward_demodulation,[],[f351,f1339]) ).
fof(f6356,plain,
( ~ spl66_69
| spl66_2
| ~ spl66_145 ),
inference(avatar_split_clause,[],[f6353,f1338,f643,f965]) ).
fof(f6353,plain,
( e0 = e2
| ~ sP16
| ~ spl66_145 ),
inference(forward_demodulation,[],[f438,f1339]) ).
fof(f6352,plain,
( ~ spl66_45
| spl66_3
| ~ spl66_185 ),
inference(avatar_split_clause,[],[f6351,f1770,f648,f850]) ).
fof(f6351,plain,
( e0 = e3
| ~ sP35
| ~ spl66_185 ),
inference(forward_demodulation,[],[f364,f1772]) ).
fof(f6350,plain,
( ~ spl66_70
| spl66_2
| ~ spl66_145 ),
inference(avatar_split_clause,[],[f6347,f1338,f643,f970]) ).
fof(f6347,plain,
( e0 = e2
| ~ sP15
| ~ spl66_145 ),
inference(forward_demodulation,[],[f442,f1339]) ).
fof(f442,plain,
( e0 = op(e3,e0)
| ~ sP15 ),
inference(cnf_transformation,[],[f171]) ).
fof(f6346,plain,
( ~ spl66_66
| spl66_2
| ~ spl66_145 ),
inference(avatar_split_clause,[],[f6344,f1338,f643,f951]) ).
fof(f6344,plain,
( e0 = e2
| ~ sP18
| ~ spl66_145 ),
inference(forward_demodulation,[],[f430,f1339]) ).
fof(f6343,plain,
( ~ spl66_13
| spl66_3
| ~ spl66_163 ),
inference(avatar_split_clause,[],[f6341,f1416,f648,f696]) ).
fof(f6341,plain,
( e0 = e3
| ~ sP61
| ~ spl66_163 ),
inference(forward_demodulation,[],[f258,f1417]) ).
fof(f6340,plain,
( ~ spl66_11
| spl66_3
| ~ spl66_163 ),
inference(avatar_split_clause,[],[f6337,f1416,f648,f687]) ).
fof(f6337,plain,
( e0 = e3
| ~ sP62
| ~ spl66_163 ),
inference(forward_demodulation,[],[f254,f1417]) ).
fof(f6336,plain,
( ~ spl66_15
| spl66_3
| ~ spl66_163 ),
inference(avatar_split_clause,[],[f6335,f1416,f648,f706]) ).
fof(f6335,plain,
( e0 = e3
| ~ sP59
| ~ spl66_163 ),
inference(forward_demodulation,[],[f266,f1417]) ).
fof(f6334,plain,
( ~ spl66_43
| spl66_2
| ~ spl66_42 ),
inference(avatar_split_clause,[],[f6332,f835,f643,f840]) ).
fof(f6332,plain,
( e0 = e2
| ~ sP37
| ~ spl66_42 ),
inference(forward_demodulation,[],[f355,f837]) ).
fof(f355,plain,
( e0 = op(e2,e0)
| ~ sP37 ),
inference(cnf_transformation,[],[f149]) ).
fof(f149,plain,
( ( e0 = op(e0,e2)
& e0 = op(e2,e0)
& e2 = op(e0,e2)
& e2 = op(e2,e0) )
| ~ sP37 ),
inference(nnf_transformation,[],[f91]) ).
fof(f6331,plain,
( ~ spl66_14
| spl66_3
| ~ spl66_163 ),
inference(avatar_split_clause,[],[f6329,f1416,f648,f701]) ).
fof(f6329,plain,
( e0 = e3
| ~ sP60
| ~ spl66_163 ),
inference(forward_demodulation,[],[f262,f1417]) ).
fof(f6328,plain,
( ~ spl66_44
| spl66_77 ),
inference(avatar_split_clause,[],[f360,f1003,f845]) ).
fof(f360,plain,
( e0 = op(e0,e1)
| ~ sP36 ),
inference(cnf_transformation,[],[f150]) ).
fof(f6326,plain,
( ~ spl66_147
| ~ spl66_42
| spl66_135 ),
inference(avatar_split_clause,[],[f1743,f1291,f835,f1347]) ).
fof(f1743,plain,
( e0 != op(e2,e2)
| ~ spl66_42
| spl66_135 ),
inference(superposition,[],[f1293,f837]) ).
fof(f6167,plain,
( spl66_2
| ~ spl66_12
| ~ spl66_147
| ~ spl66_162
| ~ spl66_188 ),
inference(avatar_split_clause,[],[f6076,f1796,f1412,f1347,f691,f643]) ).
fof(f6076,plain,
( e0 = e2
| ~ spl66_12
| ~ spl66_147
| ~ spl66_162
| ~ spl66_188 ),
inference(forward_demodulation,[],[f6075,f1348]) ).
fof(f6075,plain,
( e2 = op(e2,e2)
| ~ spl66_12
| ~ spl66_162
| ~ spl66_188 ),
inference(forward_demodulation,[],[f693,f4267]) ).
fof(f6060,plain,
( spl66_1
| ~ spl66_12
| ~ spl66_37
| ~ spl66_147
| ~ spl66_150
| ~ spl66_160
| ~ spl66_162
| ~ spl66_188 ),
inference(avatar_split_clause,[],[f6057,f1796,f1412,f1403,f1360,f1347,f811,f691,f638]) ).
fof(f6057,plain,
( e0 = e1
| ~ spl66_12
| ~ spl66_37
| ~ spl66_147
| ~ spl66_150
| ~ spl66_160
| ~ spl66_162
| ~ spl66_188 ),
inference(duplicate_literal_removal,[],[f6056]) ).
fof(f6056,plain,
( e0 = e1
| e0 = e1
| ~ spl66_12
| ~ spl66_37
| ~ spl66_147
| ~ spl66_150
| ~ spl66_160
| ~ spl66_162
| ~ spl66_188 ),
inference(forward_demodulation,[],[f6055,f4051]) ).
fof(f4051,plain,
( e0 = op(e0,e0)
| ~ spl66_37
| ~ spl66_147
| ~ spl66_160 ),
inference(forward_demodulation,[],[f1348,f4027]) ).
fof(f6055,plain,
( op(e0,e0) = e1
| e0 = e1
| ~ spl66_12
| ~ spl66_37
| ~ spl66_150
| ~ spl66_160
| ~ spl66_162
| ~ spl66_188 ),
inference(forward_demodulation,[],[f6054,f4027]) ).
fof(f6054,plain,
( e1 = op(e2,e0)
| e0 = e1
| ~ spl66_12
| ~ spl66_37
| ~ spl66_150
| ~ spl66_160
| ~ spl66_162
| ~ spl66_188 ),
inference(forward_demodulation,[],[f6053,f4267]) ).
fof(f6053,plain,
( e0 = e1
| e1 = op(e3,e0)
| ~ spl66_12
| ~ spl66_37
| ~ spl66_150
| ~ spl66_160
| ~ spl66_162
| ~ spl66_188 ),
inference(duplicate_literal_removal,[],[f6052]) ).
fof(f6052,plain,
( e0 = e1
| e0 = e1
| e1 = op(e3,e0)
| ~ spl66_12
| ~ spl66_37
| ~ spl66_150
| ~ spl66_160
| ~ spl66_162
| ~ spl66_188 ),
inference(forward_demodulation,[],[f6051,f1404]) ).
fof(f6051,plain,
( e1 = op(e2,e1)
| e0 = e1
| e1 = op(e3,e0)
| ~ spl66_12
| ~ spl66_37
| ~ spl66_150
| ~ spl66_160
| ~ spl66_162
| ~ spl66_188 ),
inference(forward_demodulation,[],[f6050,f4267]) ).
fof(f6050,plain,
( e0 = e1
| e1 = op(e3,e1)
| e1 = op(e3,e0)
| ~ spl66_12
| ~ spl66_37
| ~ spl66_150
| ~ spl66_160
| ~ spl66_162
| ~ spl66_188 ),
inference(duplicate_literal_removal,[],[f6049]) ).
fof(f6049,plain,
( e0 = e1
| e0 = e1
| e1 = op(e3,e1)
| e1 = op(e3,e0)
| ~ spl66_12
| ~ spl66_37
| ~ spl66_150
| ~ spl66_160
| ~ spl66_162
| ~ spl66_188 ),
inference(forward_demodulation,[],[f6048,f1361]) ).
fof(f6048,plain,
( e0 = e1
| e1 = op(e3,e3)
| e1 = op(e3,e1)
| e1 = op(e3,e0)
| ~ spl66_12
| ~ spl66_37
| ~ spl66_160
| ~ spl66_162
| ~ spl66_188 ),
inference(forward_demodulation,[],[f6047,f4027]) ).
fof(f6047,plain,
( e1 = e2
| e1 = op(e3,e3)
| e1 = op(e3,e1)
| e1 = op(e3,e0)
| ~ spl66_12
| ~ spl66_162
| ~ spl66_188 ),
inference(forward_demodulation,[],[f3101,f4267]) ).
fof(f3101,plain,
( e1 = e3
| e1 = op(e3,e3)
| e1 = op(e3,e1)
| e1 = op(e3,e0)
| ~ spl66_12 ),
inference(forward_demodulation,[],[f543,f693]) ).
fof(f5926,plain,
( spl66_5
| spl66_6
| spl66_3
| ~ spl66_67
| ~ spl66_150
| ~ spl66_161
| ~ spl66_167 ),
inference(avatar_split_clause,[],[f5906,f1433,f1407,f1360,f955,f648,f663,f658]) ).
fof(f5906,plain,
( e0 = e3
| e2 = e3
| e1 = e3
| ~ spl66_67
| ~ spl66_150
| ~ spl66_161
| ~ spl66_167 ),
inference(duplicate_literal_removal,[],[f5905]) ).
fof(f5905,plain,
( e0 = e3
| e2 = e3
| e0 = e3
| e1 = e3
| ~ spl66_67
| ~ spl66_150
| ~ spl66_161
| ~ spl66_167 ),
inference(forward_demodulation,[],[f5904,f957]) ).
fof(f5904,plain,
( e2 = e3
| e0 = e3
| e1 = e3
| e3 = op(e0,e3)
| ~ spl66_150
| ~ spl66_161
| ~ spl66_167 ),
inference(forward_demodulation,[],[f5167,f1408]) ).
fof(f5167,plain,
( e0 = e3
| e1 = e3
| e3 = op(e1,e3)
| e3 = op(e0,e3)
| ~ spl66_150
| ~ spl66_167 ),
inference(forward_demodulation,[],[f2755,f1361]) ).
fof(f2755,plain,
( e1 = e3
| e3 = op(e3,e3)
| e3 = op(e1,e3)
| e3 = op(e0,e3)
| ~ spl66_167 ),
inference(forward_demodulation,[],[f548,f1434]) ).
fof(f5893,plain,
( spl66_5
| spl66_4
| spl66_1
| ~ spl66_67
| ~ spl66_150
| ~ spl66_161
| ~ spl66_181 ),
inference(avatar_split_clause,[],[f5745,f1568,f1407,f1360,f955,f638,f653,f658]) ).
fof(f5745,plain,
( e0 = e1
| e1 = e2
| e1 = e3
| ~ spl66_67
| ~ spl66_150
| ~ spl66_161
| ~ spl66_181 ),
inference(duplicate_literal_removal,[],[f5744]) ).
fof(f5744,plain,
( e0 = e1
| e0 = e1
| e1 = e2
| e1 = e3
| ~ spl66_67
| ~ spl66_150
| ~ spl66_161
| ~ spl66_181 ),
inference(forward_demodulation,[],[f5743,f957]) ).
fof(f5743,plain,
( e0 = e1
| e1 = e2
| e1 = e3
| e1 = op(e0,e3)
| ~ spl66_150
| ~ spl66_161
| ~ spl66_181 ),
inference(forward_demodulation,[],[f3668,f1361]) ).
fof(f3668,plain,
( e1 = e2
| e1 = e3
| e1 = op(e3,e3)
| e1 = op(e0,e3)
| ~ spl66_161
| ~ spl66_181 ),
inference(forward_demodulation,[],[f3667,f1408]) ).
fof(f3667,plain,
( e1 = e3
| e1 = op(e3,e3)
| e1 = op(e1,e3)
| e1 = op(e0,e3)
| ~ spl66_181 ),
inference(forward_demodulation,[],[f544,f1570]) ).
fof(f5880,plain,
( ~ spl66_146
| spl66_93
| ~ spl66_169 ),
inference(avatar_split_clause,[],[f2116,f1442,f1082,f1342]) ).
fof(f1082,plain,
( spl66_93
<=> op(e0,e1) = op(e2,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl66_93])]) ).
fof(f2116,plain,
( e3 != op(e0,e1)
| spl66_93
| ~ spl66_169 ),
inference(superposition,[],[f1084,f1443]) ).
fof(f1084,plain,
( op(e0,e1) != op(e2,e1)
| spl66_93 ),
inference(avatar_component_clause,[],[f1082]) ).
fof(f5823,plain,
( ~ spl66_31
| spl66_6
| ~ spl66_181 ),
inference(avatar_split_clause,[],[f5472,f1568,f663,f783]) ).
fof(f5472,plain,
( e2 = e3
| ~ sP46
| ~ spl66_181 ),
inference(forward_demodulation,[],[f320,f1570]) ).
fof(f320,plain,
( e2 = op(e2,e3)
| ~ sP46 ),
inference(cnf_transformation,[],[f140]) ).
fof(f140,plain,
( ( e2 = op(e2,e3)
& e2 = op(e3,e2)
& e2 = op(e2,e2)
& e2 = op(e2,e2) )
| ~ sP46 ),
inference(nnf_transformation,[],[f100]) ).
fof(f5822,plain,
( ~ spl66_24
| spl66_3
| ~ spl66_146 ),
inference(avatar_split_clause,[],[f5262,f1342,f648,f749]) ).
fof(f5262,plain,
( e0 = e3
| ~ sP52
| ~ spl66_146 ),
inference(forward_demodulation,[],[f296,f1343]) ).
fof(f5805,plain,
( spl66_2
| ~ spl66_155
| ~ spl66_191 ),
inference(avatar_split_clause,[],[f5778,f4451,f1381,f643]) ).
fof(f5778,plain,
( e0 = e2
| ~ spl66_155
| ~ spl66_191 ),
inference(forward_demodulation,[],[f4453,f1382]) ).
fof(f5735,plain,
( spl66_2
| ~ spl66_67
| ~ spl66_155
| ~ spl66_161
| ~ spl66_172 ),
inference(avatar_split_clause,[],[f5706,f1455,f1407,f1381,f955,f643]) ).
fof(f5706,plain,
( e0 = e2
| ~ spl66_67
| ~ spl66_155
| ~ spl66_161
| ~ spl66_172 ),
inference(forward_demodulation,[],[f5705,f957]) ).
fof(f5705,plain,
( e2 = op(e0,e3)
| ~ spl66_155
| ~ spl66_161
| ~ spl66_172 ),
inference(forward_demodulation,[],[f1408,f1699]) ).
fof(f5642,plain,
( spl66_3
| ~ spl66_149
| ~ spl66_155
| ~ spl66_172
| ~ spl66_177
| ~ spl66_191 ),
inference(avatar_split_clause,[],[f5620,f4451,f1503,f1455,f1381,f1355,f648]) ).
fof(f5620,plain,
( e0 = e3
| ~ spl66_149
| ~ spl66_155
| ~ spl66_172
| ~ spl66_177
| ~ spl66_191 ),
inference(forward_demodulation,[],[f5619,f1699]) ).
fof(f5619,plain,
( e1 = e3
| ~ spl66_149
| ~ spl66_172
| ~ spl66_177
| ~ spl66_191 ),
inference(forward_demodulation,[],[f5618,f1505]) ).
fof(f5618,plain,
( e3 = op(e0,e1)
| ~ spl66_149
| ~ spl66_172
| ~ spl66_191 ),
inference(forward_demodulation,[],[f1356,f4555]) ).
fof(f5531,plain,
( spl66_6
| ~ spl66_12
| ~ spl66_191 ),
inference(avatar_split_clause,[],[f5530,f4451,f691,f663]) ).
fof(f5530,plain,
( e2 = e3
| ~ spl66_12
| ~ spl66_191 ),
inference(forward_demodulation,[],[f693,f4453]) ).
fof(f5493,plain,
( spl66_4
| spl66_6
| spl66_2
| ~ spl66_17
| ~ spl66_22
| ~ spl66_150
| ~ spl66_172 ),
inference(avatar_split_clause,[],[f5334,f1455,f1360,f739,f715,f643,f663,f653]) ).
fof(f5334,plain,
( e0 = e2
| e2 = e3
| e1 = e2
| ~ spl66_17
| ~ spl66_22
| ~ spl66_150
| ~ spl66_172 ),
inference(forward_demodulation,[],[f5329,f1361]) ).
fof(f5329,plain,
( e2 = e3
| e1 = e2
| e2 = op(e3,e3)
| ~ spl66_17
| ~ spl66_22
| ~ spl66_172 ),
inference(duplicate_literal_removal,[],[f4622]) ).
fof(f4622,plain,
( e2 = e3
| e2 = e3
| e1 = e2
| e2 = op(e3,e3)
| ~ spl66_17
| ~ spl66_22
| ~ spl66_172 ),
inference(forward_demodulation,[],[f4534,f717]) ).
fof(f4534,plain,
( e2 = e3
| e1 = e2
| e2 = op(e3,e3)
| e2 = op(e3,e1)
| ~ spl66_22
| ~ spl66_172 ),
inference(forward_demodulation,[],[f1730,f741]) ).
fof(f1730,plain,
( e1 = e2
| e2 = op(e3,e3)
| e2 = op(e3,e1)
| e2 = op(e3,e0)
| ~ spl66_172 ),
inference(forward_demodulation,[],[f545,f1456]) ).
fof(f5479,plain,
( ~ spl66_35
| spl66_4
| ~ spl66_178 ),
inference(avatar_split_clause,[],[f5477,f1507,f653,f802]) ).
fof(f5477,plain,
( e1 = e2
| ~ sP43
| ~ spl66_178 ),
inference(forward_demodulation,[],[f331,f1509]) ).
fof(f331,plain,
( e2 = op(e0,e2)
| ~ sP43 ),
inference(cnf_transformation,[],[f143]) ).
fof(f143,plain,
( ( e2 = op(e2,e0)
& e2 = op(e0,e2)
& e2 = op(e2,e2)
& e2 = op(e2,e2) )
| ~ sP43 ),
inference(nnf_transformation,[],[f97]) ).
fof(f5476,plain,
( ~ spl66_68
| spl66_3
| ~ spl66_22 ),
inference(avatar_split_clause,[],[f5474,f739,f648,f960]) ).
fof(f5474,plain,
( e0 = e3
| ~ sP17
| ~ spl66_22 ),
inference(forward_demodulation,[],[f434,f741]) ).
fof(f5473,plain,
( ~ spl66_31
| spl66_4
| ~ spl66_172 ),
inference(avatar_split_clause,[],[f5471,f1455,f653,f783]) ).
fof(f5471,plain,
( e1 = e2
| ~ sP46
| ~ spl66_172 ),
inference(forward_demodulation,[],[f319,f1456]) ).
fof(f319,plain,
( e2 = op(e3,e2)
| ~ sP46 ),
inference(cnf_transformation,[],[f140]) ).
fof(f5470,plain,
( ~ spl66_20
| spl66_4
| ~ spl66_182 ),
inference(avatar_split_clause,[],[f5405,f1599,f653,f730]) ).
fof(f5405,plain,
( e1 = e2
| ~ sP55
| ~ spl66_182 ),
inference(forward_demodulation,[],[f283,f1601]) ).
fof(f5453,plain,
( spl66_4
| ~ spl66_177
| ~ spl66_182 ),
inference(avatar_split_clause,[],[f2227,f1599,f1503,f653]) ).
fof(f2227,plain,
( e1 = e2
| ~ spl66_177
| ~ spl66_182 ),
inference(superposition,[],[f1601,f1505]) ).
fof(f5403,plain,
( ~ spl66_47
| spl66_107
| ~ spl66_167 ),
inference(avatar_split_clause,[],[f2219,f1433,f1152,f859]) ).
fof(f2219,plain,
( e1 != op(e1,e3)
| spl66_107
| ~ spl66_167 ),
inference(superposition,[],[f1154,f1434]) ).
fof(f5386,plain,
( ~ spl66_71
| spl66_4
| ~ spl66_167 ),
inference(avatar_split_clause,[],[f5384,f1433,f653,f975]) ).
fof(f5384,plain,
( e1 = e2
| ~ sP14
| ~ spl66_167 ),
inference(forward_demodulation,[],[f448,f1434]) ).
fof(f5383,plain,
( ~ spl66_50
| spl66_5
| ~ spl66_17 ),
inference(avatar_split_clause,[],[f5373,f715,f658,f874]) ).
fof(f5373,plain,
( e1 = e3
| ~ sP31
| ~ spl66_17 ),
inference(forward_demodulation,[],[f378,f717]) ).
fof(f5369,plain,
( ~ spl66_73
| spl66_32 ),
inference(avatar_split_clause,[],[f452,f787,f984]) ).
fof(f452,plain,
( e2 = op(e2,e2)
| ~ sP13 ),
inference(cnf_transformation,[],[f173]) ).
fof(f173,plain,
( ( e2 = op(e2,e2)
& e2 = op(e2,e2)
& e0 = op(e2,e0)
& e0 = op(e0,e2) )
| ~ sP13 ),
inference(nnf_transformation,[],[f67]) ).
fof(f5348,plain,
( ~ spl66_18
| spl66_5
| ~ spl66_47 ),
inference(avatar_split_clause,[],[f5345,f859,f658,f720]) ).
fof(f5345,plain,
( e1 = e3
| ~ sP57
| ~ spl66_47 ),
inference(forward_demodulation,[],[f274,f861]) ).
fof(f5344,plain,
( ~ spl66_19
| spl66_5
| ~ spl66_47 ),
inference(avatar_split_clause,[],[f5342,f859,f658,f725]) ).
fof(f5342,plain,
( e1 = e3
| ~ sP56
| ~ spl66_47 ),
inference(forward_demodulation,[],[f278,f861]) ).
fof(f278,plain,
( e3 = op(e1,e3)
| ~ sP56 ),
inference(cnf_transformation,[],[f130]) ).
fof(f5341,plain,
( ~ spl66_20
| spl66_5
| ~ spl66_47 ),
inference(avatar_split_clause,[],[f5338,f859,f658,f730]) ).
fof(f5338,plain,
( e1 = e3
| ~ sP55
| ~ spl66_47 ),
inference(forward_demodulation,[],[f282,f861]) ).
fof(f5337,plain,
( ~ spl66_16
| spl66_5
| ~ spl66_47 ),
inference(avatar_split_clause,[],[f5330,f859,f658,f711]) ).
fof(f5330,plain,
( e1 = e3
| ~ sP58
| ~ spl66_47 ),
inference(forward_demodulation,[],[f270,f861]) ).
fof(f270,plain,
( e3 = op(e1,e3)
| ~ sP58 ),
inference(cnf_transformation,[],[f128]) ).
fof(f5326,plain,
( ~ spl66_48
| spl66_184 ),
inference(avatar_split_clause,[],[f370,f1666,f864]) ).
fof(f370,plain,
( e1 = op(e3,e1)
| ~ sP33 ),
inference(cnf_transformation,[],[f153]) ).
fof(f5324,plain,
( ~ spl66_174
| spl66_89
| ~ spl66_175 ),
inference(avatar_split_clause,[],[f2660,f1487,f1062,f1483]) ).
fof(f2660,plain,
( e0 != op(e1,e0)
| spl66_89
| ~ spl66_175 ),
inference(superposition,[],[f1064,f1489]) ).
fof(f5288,plain,
( ~ spl66_71
| spl66_6
| ~ spl66_181 ),
inference(avatar_split_clause,[],[f5287,f1568,f663,f975]) ).
fof(f5287,plain,
( e2 = e3
| ~ sP14
| ~ spl66_181 ),
inference(forward_demodulation,[],[f448,f1570]) ).
fof(f5286,plain,
( ~ spl66_46
| spl66_3
| ~ spl66_150 ),
inference(avatar_split_clause,[],[f5285,f1360,f648,f855]) ).
fof(f5285,plain,
( e0 = e3
| ~ sP34
| ~ spl66_150 ),
inference(forward_demodulation,[],[f368,f1361]) ).
fof(f5284,plain,
( ~ spl66_40
| spl66_6
| ~ spl66_158 ),
inference(avatar_split_clause,[],[f5281,f1394,f663,f826]) ).
fof(f5281,plain,
( e2 = e3
| ~ sP39
| ~ spl66_158 ),
inference(forward_demodulation,[],[f346,f1395]) ).
fof(f5280,plain,
( ~ spl66_75
| spl66_2
| ~ spl66_72 ),
inference(avatar_split_clause,[],[f5278,f979,f643,f994]) ).
fof(f5278,plain,
( e0 = e2
| ~ sP11
| ~ spl66_72 ),
inference(forward_demodulation,[],[f459,f981]) ).
fof(f459,plain,
( e2 = op(e0,e2)
| ~ sP11 ),
inference(cnf_transformation,[],[f175]) ).
fof(f175,plain,
( ( e2 = op(e2,e0)
& e2 = op(e0,e2)
& e0 = op(e2,e0)
& e0 = op(e0,e2) )
| ~ sP11 ),
inference(nnf_transformation,[],[f65]) ).
fof(f5277,plain,
( ~ spl66_74
| spl66_6
| ~ spl66_158 ),
inference(avatar_split_clause,[],[f5276,f1394,f663,f989]) ).
fof(f5276,plain,
( e2 = e3
| ~ sP12
| ~ spl66_158 ),
inference(forward_demodulation,[],[f455,f1395]) ).
fof(f455,plain,
( e2 = op(e1,e2)
| ~ sP12 ),
inference(cnf_transformation,[],[f174]) ).
fof(f5275,plain,
( ~ spl66_73
| spl66_4
| ~ spl66_156 ),
inference(avatar_split_clause,[],[f5274,f1386,f653,f984]) ).
fof(f5274,plain,
( e1 = e2
| ~ sP13
| ~ spl66_156 ),
inference(forward_demodulation,[],[f452,f1387]) ).
fof(f5273,plain,
( ~ spl66_48
| spl66_6
| ~ spl66_191 ),
inference(avatar_split_clause,[],[f5272,f4451,f663,f864]) ).
fof(f5272,plain,
( e2 = e3
| ~ sP33
| ~ spl66_191 ),
inference(forward_demodulation,[],[f372,f4453]) ).
fof(f372,plain,
( e3 = op(e3,e2)
| ~ sP33 ),
inference(cnf_transformation,[],[f153]) ).
fof(f5271,plain,
( ~ spl66_21
| spl66_6
| ~ spl66_152 ),
inference(avatar_split_clause,[],[f5268,f1368,f663,f735]) ).
fof(f5268,plain,
( e2 = e3
| ~ sP54
| ~ spl66_152 ),
inference(forward_demodulation,[],[f286,f1369]) ).
fof(f286,plain,
( e3 = op(e0,e3)
| ~ sP54 ),
inference(cnf_transformation,[],[f132]) ).
fof(f5267,plain,
( ~ spl66_36
| spl66_6
| ~ spl66_158 ),
inference(avatar_split_clause,[],[f5266,f1394,f663,f807]) ).
fof(f5266,plain,
( e2 = e3
| ~ sP42
| ~ spl66_158 ),
inference(forward_demodulation,[],[f334,f1395]) ).
fof(f334,plain,
( e2 = op(e1,e2)
| ~ sP42 ),
inference(cnf_transformation,[],[f144]) ).
fof(f5265,plain,
( ~ spl66_23
| spl66_6
| ~ spl66_152 ),
inference(avatar_split_clause,[],[f5264,f1368,f663,f744]) ).
fof(f5264,plain,
( e2 = e3
| ~ sP53
| ~ spl66_152 ),
inference(forward_demodulation,[],[f290,f1369]) ).
fof(f5263,plain,
( ~ spl66_24
| spl66_6
| ~ spl66_152 ),
inference(avatar_split_clause,[],[f5260,f1368,f663,f749]) ).
fof(f5260,plain,
( e2 = e3
| ~ sP52
| ~ spl66_152 ),
inference(forward_demodulation,[],[f294,f1369]) ).
fof(f5259,plain,
( ~ spl66_39
| spl66_6
| ~ spl66_158 ),
inference(avatar_split_clause,[],[f5257,f1394,f663,f821]) ).
fof(f5257,plain,
( e2 = e3
| ~ sP40
| ~ spl66_158 ),
inference(forward_demodulation,[],[f342,f1395]) ).
fof(f5256,plain,
( ~ spl66_25
| spl66_6
| ~ spl66_152 ),
inference(avatar_split_clause,[],[f5254,f1368,f663,f754]) ).
fof(f5254,plain,
( e2 = e3
| ~ sP51
| ~ spl66_152 ),
inference(forward_demodulation,[],[f298,f1369]) ).
fof(f5253,plain,
( ~ spl66_50
| spl66_6
| ~ spl66_152 ),
inference(avatar_split_clause,[],[f5252,f1368,f663,f874]) ).
fof(f5252,plain,
( e2 = e3
| ~ sP31
| ~ spl66_152 ),
inference(forward_demodulation,[],[f379,f1369]) ).
fof(f379,plain,
( e3 = op(e0,e3)
| ~ sP31 ),
inference(cnf_transformation,[],[f155]) ).
fof(f5251,plain,
( ~ spl66_49
| spl66_5
| ~ spl66_47 ),
inference(avatar_split_clause,[],[f5249,f859,f658,f869]) ).
fof(f5249,plain,
( e1 = e3
| ~ sP32
| ~ spl66_47 ),
inference(forward_demodulation,[],[f375,f861]) ).
fof(f375,plain,
( e3 = op(e1,e3)
| ~ sP32 ),
inference(cnf_transformation,[],[f154]) ).
fof(f154,plain,
( ( e3 = op(e3,e1)
& e3 = op(e1,e3)
& e1 = op(e3,e1)
& e1 = op(e1,e3) )
| ~ sP32 ),
inference(nnf_transformation,[],[f86]) ).
fof(f5247,plain,
( ~ spl66_38
| spl66_6
| ~ spl66_158 ),
inference(avatar_split_clause,[],[f5244,f1394,f663,f816]) ).
fof(f5244,plain,
( e2 = e3
| ~ sP41
| ~ spl66_158 ),
inference(forward_demodulation,[],[f338,f1395]) ).
fof(f338,plain,
( e2 = op(e1,e2)
| ~ sP41 ),
inference(cnf_transformation,[],[f145]) ).
fof(f5243,plain,
( spl66_85
| spl66_84
| spl66_83
| spl66_81
| spl66_80
| spl66_79
| spl66_78
| spl66_76
| spl66_75
| spl66_74
| spl66_73
| spl66_71
| spl66_70
| spl66_69
| spl66_68
| spl66_66
| spl66_65
| spl66_64
| spl66_63
| spl66_61
| spl66_60
| spl66_59
| spl66_58
| spl66_56
| spl66_55
| spl66_54
| spl66_53
| spl66_51
| spl66_50
| spl66_49
| spl66_48
| spl66_46
| spl66_45
| spl66_44
| spl66_43
| spl66_41
| spl66_40
| spl66_39
| spl66_38
| spl66_36
| spl66_35
| spl66_34
| spl66_33
| spl66_31
| spl66_30
| spl66_29
| spl66_28
| spl66_26
| spl66_25
| spl66_24
| spl66_23
| spl66_21
| spl66_20
| spl66_19
| spl66_18
| spl66_16
| spl66_15
| spl66_14
| spl66_13
| spl66_11
| spl66_10
| spl66_9
| spl66_7
| spl66_3
| ~ spl66_150 ),
inference(avatar_split_clause,[],[f1551,f1360,f648,f668,f677,f682,f687,f696,f701,f706,f711,f720,f725,f730,f735,f744,f749,f754,f759,f768,f773,f778,f783,f792,f797,f802,f807,f816,f821,f826,f831,f840,f845,f850,f855,f864,f869,f874,f879,f888,f893,f898,f903,f912,f917,f922,f927,f936,f941,f946,f951,f960,f965,f970,f975,f984,f989,f994,f999,f1008,f1013,f1018,f1023,f1032,f1037,f1042]) ).
fof(f1551,plain,
( e0 = e3
| sP65
| sP64
| sP63
| sP62
| sP61
| sP60
| sP59
| sP58
| sP57
| sP56
| sP55
| sP54
| sP53
| sP52
| sP51
| sP50
| sP49
| sP48
| sP47
| sP46
| sP45
| sP44
| sP43
| sP42
| sP41
| sP40
| sP39
| sP38
| sP37
| sP36
| sP35
| sP34
| sP33
| sP32
| sP31
| sP30
| sP29
| sP28
| sP27
| sP26
| sP25
| sP24
| sP23
| sP22
| sP21
| sP20
| sP19
| sP18
| sP17
| sP16
| sP15
| sP14
| sP13
| sP12
| sP11
| sP10
| sP9
| sP8
| sP7
| sP6
| sP5
| sP4
| sP3
| ~ spl66_150 ),
inference(forward_demodulation,[],[f516,f1361]) ).
fof(f5241,plain,
( ~ spl66_82
| spl66_87
| ~ spl66_175 ),
inference(avatar_split_clause,[],[f2659,f1487,f1052,f1027]) ).
fof(f1052,plain,
( spl66_87
<=> op(e0,e0) = op(e2,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl66_87])]) ).
fof(f2659,plain,
( e0 != op(e0,e0)
| spl66_87
| ~ spl66_175 ),
inference(superposition,[],[f1054,f1489]) ).
fof(f1054,plain,
( op(e0,e0) != op(e2,e0)
| spl66_87 ),
inference(avatar_component_clause,[],[f1052]) ).
fof(f5228,plain,
( spl66_156
| spl66_167
| spl66_4
| spl66_1
| ~ spl66_37
| ~ spl66_175 ),
inference(avatar_split_clause,[],[f4004,f1487,f811,f638,f653,f1433,f1386]) ).
fof(f4004,plain,
( e0 = e1
| e1 = e2
| e1 = op(e2,e3)
| e1 = op(e2,e2)
| ~ spl66_37
| ~ spl66_175 ),
inference(forward_demodulation,[],[f2911,f1489]) ).
fof(f5225,plain,
( spl66_144
| spl66_179
| spl66_3
| spl66_2
| ~ spl66_158
| ~ spl66_170 ),
inference(avatar_split_clause,[],[f3947,f1446,f1394,f643,f648,f1535,f1334]) ).
fof(f3947,plain,
( e0 = e2
| e0 = e3
| e0 = op(e1,e3)
| e0 = op(e1,e1)
| ~ spl66_158
| ~ spl66_170 ),
inference(forward_demodulation,[],[f3946,f1447]) ).
fof(f3946,plain,
( e0 = e3
| e0 = op(e1,e3)
| e0 = op(e1,e1)
| e0 = op(e1,e0)
| ~ spl66_158 ),
inference(forward_demodulation,[],[f525,f1395]) ).
fof(f5215,plain,
( spl66_191
| spl66_4
| spl66_2
| spl66_6
| ~ spl66_22
| ~ spl66_150
| ~ spl66_184 ),
inference(avatar_split_clause,[],[f5084,f1666,f1360,f739,f663,f643,f653,f4451]) ).
fof(f5084,plain,
( e2 = e3
| e0 = e2
| e1 = e2
| e2 = op(e3,e2)
| ~ spl66_22
| ~ spl66_150
| ~ spl66_184 ),
inference(forward_demodulation,[],[f5083,f741]) ).
fof(f5083,plain,
( e0 = e2
| e1 = e2
| e2 = op(e3,e2)
| e2 = op(e3,e0)
| ~ spl66_150
| ~ spl66_184 ),
inference(forward_demodulation,[],[f4426,f1361]) ).
fof(f5193,plain,
( spl66_186
| spl66_3
| spl66_5
| ~ spl66_47
| ~ spl66_150
| ~ spl66_167 ),
inference(avatar_split_clause,[],[f5166,f1433,f1360,f859,f658,f648,f1774]) ).
fof(f5166,plain,
( e1 = e3
| e0 = e3
| e3 = op(e0,e3)
| ~ spl66_47
| ~ spl66_150
| ~ spl66_167 ),
inference(duplicate_literal_removal,[],[f5165]) ).
fof(f5165,plain,
( e1 = e3
| e1 = e3
| e0 = e3
| e3 = op(e0,e3)
| ~ spl66_47
| ~ spl66_150
| ~ spl66_167 ),
inference(forward_demodulation,[],[f2818,f861]) ).
fof(f2818,plain,
( e1 = e3
| e0 = e3
| e3 = op(e1,e3)
| e3 = op(e0,e3)
| ~ spl66_150
| ~ spl66_167 ),
inference(forward_demodulation,[],[f1553,f1434]) ).
fof(f5191,plain,
( spl66_157
| spl66_2
| spl66_3
| ~ spl66_37
| ~ spl66_146
| ~ spl66_188 ),
inference(avatar_split_clause,[],[f5108,f1796,f1342,f811,f648,f643,f1390]) ).
fof(f5108,plain,
( e0 = e3
| e0 = e2
| e0 = op(e3,e1)
| ~ spl66_37
| ~ spl66_146
| ~ spl66_188 ),
inference(forward_demodulation,[],[f4403,f1343]) ).
fof(f4403,plain,
( e0 = e2
| e0 = op(e3,e1)
| e0 = op(e0,e1)
| ~ spl66_37
| ~ spl66_188 ),
inference(duplicate_literal_removal,[],[f4402]) ).
fof(f4402,plain,
( e0 = e2
| e0 = e2
| e0 = op(e3,e1)
| e0 = op(e0,e1)
| ~ spl66_37
| ~ spl66_188 ),
inference(forward_demodulation,[],[f2730,f1798]) ).
fof(f5156,plain,
( spl66_5
| ~ spl66_47
| ~ spl66_180 ),
inference(avatar_split_clause,[],[f5149,f1564,f859,f658]) ).
fof(f5149,plain,
( e1 = e3
| ~ spl66_47
| ~ spl66_180 ),
inference(forward_demodulation,[],[f1566,f861]) ).
fof(f5140,plain,
( spl66_6
| spl66_2
| spl66_4
| ~ spl66_47
| ~ spl66_150
| ~ spl66_154
| ~ spl66_181 ),
inference(avatar_split_clause,[],[f5093,f1568,f1377,f1360,f859,f653,f643,f663]) ).
fof(f5093,plain,
( e1 = e2
| e0 = e2
| e2 = e3
| ~ spl66_47
| ~ spl66_150
| ~ spl66_154
| ~ spl66_181 ),
inference(duplicate_literal_removal,[],[f5092]) ).
fof(f5092,plain,
( e1 = e2
| e1 = e2
| e0 = e2
| e2 = e3
| ~ spl66_47
| ~ spl66_150
| ~ spl66_154
| ~ spl66_181 ),
inference(forward_demodulation,[],[f5091,f1378]) ).
fof(f5091,plain,
( e1 = e2
| e0 = e2
| e2 = e3
| e2 = op(e0,e3)
| ~ spl66_47
| ~ spl66_150
| ~ spl66_181 ),
inference(forward_demodulation,[],[f5090,f861]) ).
fof(f5090,plain,
( e0 = e2
| e2 = e3
| e2 = op(e1,e3)
| e2 = op(e0,e3)
| ~ spl66_150
| ~ spl66_181 ),
inference(forward_demodulation,[],[f3180,f1361]) ).
fof(f3180,plain,
( e2 = e3
| e2 = op(e3,e3)
| e2 = op(e1,e3)
| e2 = op(e0,e3)
| ~ spl66_181 ),
inference(forward_demodulation,[],[f546,f1570]) ).
fof(f5073,plain,
( spl66_4
| ~ spl66_47
| ~ spl66_161 ),
inference(avatar_split_clause,[],[f3131,f1407,f859,f653]) ).
fof(f3131,plain,
( e1 = e2
| ~ spl66_47
| ~ spl66_161 ),
inference(superposition,[],[f861,f1408]) ).
fof(f5072,plain,
( spl66_184
| spl66_172
| spl66_1
| spl66_5
| ~ spl66_22
| ~ spl66_150 ),
inference(avatar_split_clause,[],[f4157,f1360,f739,f658,f638,f1455,f1666]) ).
fof(f4157,plain,
( e1 = e3
| e0 = e1
| e1 = op(e3,e2)
| e1 = op(e3,e1)
| ~ spl66_22
| ~ spl66_150 ),
inference(forward_demodulation,[],[f2917,f741]) ).
fof(f5017,plain,
( spl66_169
| spl66_3
| spl66_5
| ~ spl66_156
| ~ spl66_163
| ~ spl66_175 ),
inference(avatar_split_clause,[],[f4896,f1487,f1416,f1386,f658,f648,f1442]) ).
fof(f4896,plain,
( e1 = e3
| e0 = e3
| e3 = op(e2,e1)
| ~ spl66_156
| ~ spl66_163
| ~ spl66_175 ),
inference(forward_demodulation,[],[f4895,f1387]) ).
fof(f4895,plain,
( e0 = e3
| e3 = op(e2,e2)
| e3 = op(e2,e1)
| ~ spl66_163
| ~ spl66_175 ),
inference(duplicate_literal_removal,[],[f4894]) ).
fof(f4894,plain,
( e0 = e3
| e0 = e3
| e3 = op(e2,e2)
| e3 = op(e2,e1)
| ~ spl66_163
| ~ spl66_175 ),
inference(forward_demodulation,[],[f4714,f1417]) ).
fof(f4714,plain,
( e0 = e3
| e3 = op(e2,e3)
| e3 = op(e2,e2)
| e3 = op(e2,e1)
| ~ spl66_175 ),
inference(forward_demodulation,[],[f539,f1489]) ).
fof(f5008,plain,
( spl66_6
| ~ spl66_161
| ~ spl66_180 ),
inference(avatar_split_clause,[],[f4964,f1564,f1407,f663]) ).
fof(f4964,plain,
( e2 = e3
| ~ spl66_161
| ~ spl66_180 ),
inference(superposition,[],[f1408,f1566]) ).
fof(f4979,plain,
( spl66_32
| spl66_2
| spl66_4
| ~ spl66_163
| ~ spl66_175
| ~ spl66_190 ),
inference(avatar_split_clause,[],[f4618,f3071,f1487,f1416,f653,f643,f787]) ).
fof(f4618,plain,
( e1 = e2
| e0 = e2
| e2 = op(e2,e2)
| ~ spl66_163
| ~ spl66_175
| ~ spl66_190 ),
inference(forward_demodulation,[],[f4292,f3073]) ).
fof(f4292,plain,
( e0 = e2
| e2 = op(e2,e2)
| e2 = op(e2,e1)
| ~ spl66_163
| ~ spl66_175 ),
inference(duplicate_literal_removal,[],[f4291]) ).
fof(f4291,plain,
( e0 = e2
| e0 = e2
| e2 = op(e2,e2)
| e2 = op(e2,e1)
| ~ spl66_163
| ~ spl66_175 ),
inference(forward_demodulation,[],[f3943,f1417]) ).
fof(f3943,plain,
( e0 = e2
| e2 = op(e2,e3)
| e2 = op(e2,e2)
| e2 = op(e2,e1)
| ~ spl66_175 ),
inference(forward_demodulation,[],[f537,f1489]) ).
fof(f537,plain,
( e2 = op(e2,e3)
| e2 = op(e2,e2)
| e2 = op(e2,e1)
| e2 = op(e2,e0) ),
inference(cnf_transformation,[],[f2]) ).
fof(f4952,plain,
( spl66_3
| ~ spl66_77
| ~ spl66_146 ),
inference(avatar_split_clause,[],[f4501,f1342,f1003,f648]) ).
fof(f4501,plain,
( e0 = e3
| ~ spl66_77
| ~ spl66_146 ),
inference(superposition,[],[f1005,f1343]) ).
fof(f4927,plain,
( spl66_3
| spl66_5
| spl66_6
| ~ spl66_37
| ~ spl66_156
| ~ spl66_163
| ~ spl66_175 ),
inference(avatar_split_clause,[],[f4899,f1487,f1416,f1386,f811,f663,f658,f648]) ).
fof(f4899,plain,
( e2 = e3
| e1 = e3
| e0 = e3
| ~ spl66_37
| ~ spl66_156
| ~ spl66_163
| ~ spl66_175 ),
inference(forward_demodulation,[],[f4896,f813]) ).
fof(f4898,plain,
( spl66_3
| spl66_5
| ~ spl66_47
| ~ spl66_154
| ~ spl66_159
| ~ spl66_163 ),
inference(avatar_split_clause,[],[f4889,f1416,f1399,f1377,f859,f658,f648]) ).
fof(f4889,plain,
( e1 = e3
| e0 = e3
| ~ spl66_47
| ~ spl66_154
| ~ spl66_159
| ~ spl66_163 ),
inference(duplicate_literal_removal,[],[f4888]) ).
fof(f4888,plain,
( e1 = e3
| e1 = e3
| e0 = e3
| ~ spl66_47
| ~ spl66_154
| ~ spl66_159
| ~ spl66_163 ),
inference(forward_demodulation,[],[f4887,f1378]) ).
fof(f4887,plain,
( e1 = e3
| e0 = e3
| e3 = op(e0,e3)
| ~ spl66_47
| ~ spl66_159
| ~ spl66_163 ),
inference(duplicate_literal_removal,[],[f4886]) ).
fof(f4882,plain,
( spl66_3
| ~ spl66_163
| ~ spl66_181 ),
inference(avatar_split_clause,[],[f4863,f1568,f1416,f648]) ).
fof(f4863,plain,
( e0 = e3
| ~ spl66_163
| ~ spl66_181 ),
inference(superposition,[],[f1570,f1417]) ).
fof(f4788,plain,
( spl66_4
| ~ spl66_159
| ~ spl66_165 ),
inference(avatar_split_clause,[],[f4775,f1425,f1399,f653]) ).
fof(f4775,plain,
( e1 = e2
| ~ spl66_159
| ~ spl66_165 ),
inference(superposition,[],[f1426,f1400]) ).
fof(f4699,plain,
( spl66_2
| ~ spl66_67
| ~ spl66_152 ),
inference(avatar_split_clause,[],[f2538,f1368,f955,f643]) ).
fof(f2538,plain,
( e0 = e2
| ~ spl66_67
| ~ spl66_152 ),
inference(superposition,[],[f957,f1369]) ).
fof(f4635,plain,
( spl66_150
| spl66_1
| spl66_3
| ~ spl66_17
| ~ spl66_22
| ~ spl66_172 ),
inference(avatar_split_clause,[],[f4540,f1455,f739,f715,f648,f638,f1360]) ).
fof(f4540,plain,
( e0 = e3
| e0 = e1
| e0 = op(e3,e3)
| ~ spl66_17
| ~ spl66_22
| ~ spl66_172 ),
inference(duplicate_literal_removal,[],[f4539]) ).
fof(f4539,plain,
( e0 = e3
| e0 = e3
| e0 = e1
| e0 = op(e3,e3)
| ~ spl66_17
| ~ spl66_22
| ~ spl66_172 ),
inference(forward_demodulation,[],[f2816,f741]) ).
fof(f2816,plain,
( e0 = e3
| e0 = e1
| e0 = op(e3,e3)
| e0 = op(e3,e0)
| ~ spl66_17
| ~ spl66_172 ),
inference(forward_demodulation,[],[f2815,f717]) ).
fof(f2815,plain,
( e0 = e1
| e0 = op(e3,e3)
| e0 = op(e3,e1)
| e0 = op(e3,e0)
| ~ spl66_172 ),
inference(forward_demodulation,[],[f541,f1456]) ).
fof(f4612,plain,
( spl66_77
| ~ spl66_72
| ~ spl66_172
| ~ spl66_191 ),
inference(avatar_split_clause,[],[f4608,f4451,f1455,f979,f1003]) ).
fof(f4608,plain,
( e0 = op(e0,e1)
| ~ spl66_72
| ~ spl66_172
| ~ spl66_191 ),
inference(forward_demodulation,[],[f981,f4555]) ).
fof(f4566,plain,
( spl66_3
| spl66_6
| spl66_5
| ~ spl66_32
| ~ spl66_163
| ~ spl66_175
| ~ spl66_190 ),
inference(avatar_split_clause,[],[f4528,f3071,f1487,f1416,f787,f658,f663,f648]) ).
fof(f4528,plain,
( e1 = e3
| e2 = e3
| e0 = e3
| ~ spl66_32
| ~ spl66_163
| ~ spl66_175
| ~ spl66_190 ),
inference(forward_demodulation,[],[f4527,f3073]) ).
fof(f4527,plain,
( e2 = e3
| e0 = e3
| e3 = op(e2,e1)
| ~ spl66_32
| ~ spl66_163
| ~ spl66_175 ),
inference(forward_demodulation,[],[f4295,f789]) ).
fof(f4295,plain,
( e0 = e3
| e3 = op(e2,e2)
| e3 = op(e2,e1)
| ~ spl66_163
| ~ spl66_175 ),
inference(duplicate_literal_removal,[],[f4294]) ).
fof(f4294,plain,
( e0 = e3
| e0 = e3
| e3 = op(e2,e2)
| e3 = op(e2,e1)
| ~ spl66_163
| ~ spl66_175 ),
inference(forward_demodulation,[],[f4275,f1489]) ).
fof(f4524,plain,
( spl66_62
| ~ spl66_47
| ~ spl66_77
| ~ spl66_146 ),
inference(avatar_split_clause,[],[f4523,f1342,f1003,f859,f931]) ).
fof(f4523,plain,
( e1 = op(e1,e0)
| ~ spl66_47
| ~ spl66_77
| ~ spl66_146 ),
inference(forward_demodulation,[],[f861,f4501]) ).
fof(f4517,plain,
( spl66_159
| spl66_1
| spl66_5
| ~ spl66_163
| ~ spl66_180
| ~ spl66_186 ),
inference(avatar_split_clause,[],[f4471,f1774,f1564,f1416,f658,f638,f1399]) ).
fof(f4471,plain,
( e1 = e3
| e0 = e1
| e1 = op(e3,e3)
| ~ spl66_163
| ~ spl66_180
| ~ spl66_186 ),
inference(duplicate_literal_removal,[],[f4470]) ).
fof(f4470,plain,
( e1 = e3
| e1 = e3
| e0 = e1
| e1 = op(e3,e3)
| ~ spl66_163
| ~ spl66_180
| ~ spl66_186 ),
inference(forward_demodulation,[],[f4421,f1566]) ).
fof(f4421,plain,
( e1 = e3
| e0 = e1
| e1 = op(e3,e3)
| e1 = op(e1,e3)
| ~ spl66_163
| ~ spl66_186 ),
inference(forward_demodulation,[],[f4420,f1776]) ).
fof(f4420,plain,
( e0 = e1
| e1 = op(e3,e3)
| e1 = op(e1,e3)
| e1 = op(e0,e3)
| ~ spl66_163 ),
inference(forward_demodulation,[],[f544,f1417]) ).
fof(f4511,plain,
( spl66_148
| spl66_4
| spl66_1
| ~ spl66_171
| ~ spl66_174
| ~ spl66_175 ),
inference(avatar_split_clause,[],[f4332,f1487,f1483,f1451,f638,f653,f1351]) ).
fof(f4332,plain,
( e0 = e1
| e1 = e2
| e1 = op(e3,e0)
| ~ spl66_171
| ~ spl66_174
| ~ spl66_175 ),
inference(duplicate_literal_removal,[],[f4331]) ).
fof(f4331,plain,
( e0 = e1
| e1 = e2
| e0 = e1
| e1 = op(e3,e0)
| ~ spl66_171
| ~ spl66_174
| ~ spl66_175 ),
inference(forward_demodulation,[],[f3788,f1485]) ).
fof(f3788,plain,
( e1 = e2
| e0 = e1
| e1 = op(e3,e0)
| e1 = op(e1,e0)
| ~ spl66_171
| ~ spl66_175 ),
inference(forward_demodulation,[],[f2689,f1452]) ).
fof(f2689,plain,
( e0 = e1
| e1 = op(e3,e0)
| e1 = op(e1,e0)
| op(e0,e0) = e1
| ~ spl66_175 ),
inference(forward_demodulation,[],[f520,f1489]) ).
fof(f4464,plain,
( spl66_1
| ~ spl66_72
| ~ spl66_178 ),
inference(avatar_split_clause,[],[f4436,f1507,f979,f638]) ).
fof(f4436,plain,
( e0 = e1
| ~ spl66_72
| ~ spl66_178 ),
inference(superposition,[],[f981,f1509]) ).
fof(f4454,plain,
( spl66_191
| spl66_6
| spl66_4
| ~ spl66_156
| ~ spl66_158
| ~ spl66_178 ),
inference(avatar_split_clause,[],[f4409,f1507,f1394,f1386,f653,f663,f4451]) ).
fof(f4409,plain,
( e1 = e2
| e2 = e3
| e2 = op(e3,e2)
| ~ spl66_156
| ~ spl66_158
| ~ spl66_178 ),
inference(duplicate_literal_removal,[],[f4408]) ).
fof(f4408,plain,
( e1 = e2
| e1 = e2
| e2 = e3
| e2 = op(e3,e2)
| ~ spl66_156
| ~ spl66_158
| ~ spl66_178 ),
inference(forward_demodulation,[],[f4296,f1387]) ).
fof(f4296,plain,
( e1 = e2
| e2 = e3
| e2 = op(e3,e2)
| e2 = op(e2,e2)
| ~ spl66_158
| ~ spl66_178 ),
inference(forward_demodulation,[],[f3945,f1509]) ).
fof(f4418,plain,
( spl66_4
| spl66_6
| spl66_2
| ~ spl66_47
| ~ spl66_150
| ~ spl66_163
| ~ spl66_186 ),
inference(avatar_split_clause,[],[f4259,f1774,f1416,f1360,f859,f643,f663,f653]) ).
fof(f4259,plain,
( e0 = e2
| e2 = e3
| e1 = e2
| ~ spl66_47
| ~ spl66_150
| ~ spl66_163
| ~ spl66_186 ),
inference(duplicate_literal_removal,[],[f4258]) ).
fof(f4258,plain,
( e0 = e2
| e2 = e3
| e1 = e2
| e0 = e2
| ~ spl66_47
| ~ spl66_150
| ~ spl66_163
| ~ spl66_186 ),
inference(forward_demodulation,[],[f4232,f1417]) ).
fof(f4232,plain,
( e2 = e3
| e1 = e2
| e0 = e2
| e2 = op(e2,e3)
| ~ spl66_47
| ~ spl66_150
| ~ spl66_186 ),
inference(forward_demodulation,[],[f4231,f1776]) ).
fof(f4231,plain,
( e1 = e2
| e0 = e2
| e2 = op(e2,e3)
| e2 = op(e0,e3)
| ~ spl66_47
| ~ spl66_150 ),
inference(forward_demodulation,[],[f4230,f861]) ).
fof(f4230,plain,
( e0 = e2
| e2 = op(e2,e3)
| e2 = op(e1,e3)
| e2 = op(e0,e3)
| ~ spl66_150 ),
inference(forward_demodulation,[],[f546,f1361]) ).
fof(f4401,plain,
( spl66_4
| spl66_1
| ~ spl66_162
| ~ spl66_171
| ~ spl66_174
| ~ spl66_175
| ~ spl66_188 ),
inference(avatar_split_clause,[],[f4376,f1796,f1487,f1483,f1451,f1412,f638,f653]) ).
fof(f4376,plain,
( e0 = e1
| e1 = e2
| ~ spl66_162
| ~ spl66_171
| ~ spl66_174
| ~ spl66_175
| ~ spl66_188 ),
inference(duplicate_literal_removal,[],[f4375]) ).
fof(f4375,plain,
( e0 = e1
| e0 = e1
| e1 = e2
| ~ spl66_162
| ~ spl66_171
| ~ spl66_174
| ~ spl66_175
| ~ spl66_188 ),
inference(forward_demodulation,[],[f4374,f1489]) ).
fof(f4374,plain,
( e1 = op(e2,e0)
| e0 = e1
| e1 = e2
| ~ spl66_162
| ~ spl66_171
| ~ spl66_174
| ~ spl66_175
| ~ spl66_188 ),
inference(forward_demodulation,[],[f4332,f4267]) ).
fof(f4373,plain,
( spl66_4
| ~ spl66_37
| ~ spl66_190 ),
inference(avatar_split_clause,[],[f4372,f3071,f811,f653]) ).
fof(f4372,plain,
( e1 = e2
| ~ spl66_37
| ~ spl66_190 ),
inference(forward_demodulation,[],[f813,f3073]) ).
fof(f4318,plain,
( spl66_57
| ~ spl66_47
| ~ spl66_156
| ~ spl66_161 ),
inference(avatar_split_clause,[],[f4317,f1407,f1386,f859,f907]) ).
fof(f4317,plain,
( e1 = op(e1,e1)
| ~ spl66_47
| ~ spl66_156
| ~ spl66_161 ),
inference(forward_demodulation,[],[f1387,f3131]) ).
fof(f4312,plain,
( spl66_57
| ~ spl66_47
| ~ spl66_161
| ~ spl66_190 ),
inference(avatar_split_clause,[],[f4311,f3071,f1407,f859,f907]) ).
fof(f4311,plain,
( e1 = op(e1,e1)
| ~ spl66_47
| ~ spl66_161
| ~ spl66_190 ),
inference(forward_demodulation,[],[f3073,f3131]) ).
fof(f4305,plain,
( spl66_190
| spl66_156
| spl66_1
| ~ spl66_163
| ~ spl66_175 ),
inference(avatar_split_clause,[],[f4287,f1487,f1416,f638,f1386,f3071]) ).
fof(f4287,plain,
( e0 = e1
| e1 = op(e2,e2)
| e1 = op(e2,e1)
| ~ spl66_163
| ~ spl66_175 ),
inference(duplicate_literal_removal,[],[f4286]) ).
fof(f4286,plain,
( e0 = e1
| e0 = e1
| e1 = op(e2,e2)
| e1 = op(e2,e1)
| ~ spl66_163
| ~ spl66_175 ),
inference(forward_demodulation,[],[f3944,f1417]) ).
fof(f3944,plain,
( e0 = e1
| e1 = op(e2,e3)
| e1 = op(e2,e2)
| e1 = op(e2,e1)
| ~ spl66_175 ),
inference(forward_demodulation,[],[f535,f1489]) ).
fof(f4299,plain,
( spl66_174
| spl66_179
| spl66_3
| ~ spl66_158
| ~ spl66_162 ),
inference(avatar_split_clause,[],[f4253,f1412,f1394,f648,f1535,f1483]) ).
fof(f4253,plain,
( e0 = e3
| e0 = op(e1,e3)
| e0 = op(e1,e0)
| ~ spl66_158
| ~ spl66_162 ),
inference(duplicate_literal_removal,[],[f4252]) ).
fof(f4252,plain,
( e0 = e3
| e0 = e3
| e0 = op(e1,e3)
| e0 = op(e1,e0)
| ~ spl66_158
| ~ spl66_162 ),
inference(forward_demodulation,[],[f3946,f1413]) ).
fof(f4290,plain,
( spl66_2
| spl66_147
| spl66_1
| ~ spl66_158
| ~ spl66_162
| ~ spl66_178
| ~ spl66_188 ),
inference(avatar_split_clause,[],[f4285,f1796,f1507,f1412,f1394,f638,f1347,f643]) ).
fof(f4285,plain,
( e0 = e1
| e0 = op(e2,e2)
| e0 = e2
| ~ spl66_158
| ~ spl66_162
| ~ spl66_178
| ~ spl66_188 ),
inference(forward_demodulation,[],[f4284,f1509]) ).
fof(f4284,plain,
( e0 = op(e2,e2)
| e0 = e2
| e0 = op(e0,e2)
| ~ spl66_158
| ~ spl66_162
| ~ spl66_188 ),
inference(duplicate_literal_removal,[],[f4283]) ).
fof(f4283,plain,
( e0 = op(e2,e2)
| e0 = e2
| e0 = op(e2,e2)
| e0 = op(e0,e2)
| ~ spl66_158
| ~ spl66_162
| ~ spl66_188 ),
inference(forward_demodulation,[],[f4282,f4267]) ).
fof(f4282,plain,
( e0 = e2
| e0 = op(e3,e2)
| e0 = op(e2,e2)
| e0 = op(e0,e2)
| ~ spl66_158
| ~ spl66_162
| ~ spl66_188 ),
inference(forward_demodulation,[],[f2837,f4267]) ).
fof(f2837,plain,
( e0 = e3
| e0 = op(e3,e2)
| e0 = op(e2,e2)
| e0 = op(e0,e2)
| ~ spl66_158 ),
inference(forward_demodulation,[],[f534,f1395]) ).
fof(f4274,plain,
( spl66_37
| spl66_27
| spl66_2
| ~ spl66_147
| ~ spl66_175 ),
inference(avatar_split_clause,[],[f4143,f1487,f1347,f643,f763,f811]) ).
fof(f4143,plain,
( e0 = e2
| e2 = op(e2,e3)
| e2 = op(e2,e1)
| ~ spl66_147
| ~ spl66_175 ),
inference(duplicate_literal_removal,[],[f4142]) ).
fof(f4142,plain,
( e0 = e2
| e0 = e2
| e2 = op(e2,e3)
| e2 = op(e2,e1)
| ~ spl66_147
| ~ spl66_175 ),
inference(forward_demodulation,[],[f3943,f1348]) ).
fof(f4257,plain,
( spl66_4
| ~ spl66_168
| ~ spl66_171 ),
inference(avatar_split_clause,[],[f4256,f1451,f1438,f653]) ).
fof(f4256,plain,
( e1 = e2
| ~ spl66_168
| ~ spl66_171 ),
inference(forward_demodulation,[],[f1452,f1439]) ).
fof(f4247,plain,
( spl66_179
| spl66_2
| spl66_3
| ~ spl66_158
| ~ spl66_162
| ~ spl66_170 ),
inference(avatar_split_clause,[],[f4095,f1446,f1412,f1394,f648,f643,f1535]) ).
fof(f4095,plain,
( e0 = e3
| e0 = e2
| e0 = op(e1,e3)
| ~ spl66_158
| ~ spl66_162
| ~ spl66_170 ),
inference(duplicate_literal_removal,[],[f4094]) ).
fof(f4094,plain,
( e0 = e3
| e0 = e2
| e0 = e3
| e0 = op(e1,e3)
| ~ spl66_158
| ~ spl66_162
| ~ spl66_170 ),
inference(forward_demodulation,[],[f3947,f1413]) ).
fof(f4214,plain,
( spl66_2
| ~ spl66_150
| ~ spl66_165 ),
inference(avatar_split_clause,[],[f4159,f1425,f1360,f643]) ).
fof(f4159,plain,
( e0 = e2
| ~ spl66_150
| ~ spl66_165 ),
inference(superposition,[],[f1361,f1426]) ).
fof(f4184,plain,
( spl66_1
| ~ spl66_147
| ~ spl66_156 ),
inference(avatar_split_clause,[],[f4183,f1386,f1347,f638]) ).
fof(f4183,plain,
( e0 = e1
| ~ spl66_147
| ~ spl66_156 ),
inference(forward_demodulation,[],[f1387,f1348]) ).
fof(f4181,plain,
( spl66_156
| spl66_172
| spl66_5
| ~ spl66_149
| ~ spl66_158 ),
inference(avatar_split_clause,[],[f4015,f1394,f1355,f658,f1455,f1386]) ).
fof(f4015,plain,
( e1 = e3
| e1 = op(e3,e2)
| e1 = op(e2,e2)
| ~ spl66_149
| ~ spl66_158 ),
inference(duplicate_literal_removal,[],[f4014]) ).
fof(f4014,plain,
( e1 = e3
| e1 = e3
| e1 = op(e3,e2)
| e1 = op(e2,e2)
| ~ spl66_149
| ~ spl66_158 ),
inference(forward_demodulation,[],[f2920,f1356]) ).
fof(f4170,plain,
( spl66_184
| spl66_159
| spl66_5
| ~ spl66_12
| ~ spl66_22 ),
inference(avatar_split_clause,[],[f4003,f739,f691,f658,f1399,f1666]) ).
fof(f4003,plain,
( e1 = e3
| e1 = op(e3,e3)
| e1 = op(e3,e1)
| ~ spl66_12
| ~ spl66_22 ),
inference(duplicate_literal_removal,[],[f4002]) ).
fof(f4002,plain,
( e1 = e3
| e1 = e3
| e1 = op(e3,e3)
| e1 = op(e3,e1)
| ~ spl66_12
| ~ spl66_22 ),
inference(forward_demodulation,[],[f3101,f741]) ).
fof(f4152,plain,
( spl66_159
| spl66_1
| spl66_5
| ~ spl66_12
| ~ spl66_22
| ~ spl66_157 ),
inference(avatar_split_clause,[],[f4088,f1390,f739,f691,f658,f638,f1399]) ).
fof(f4088,plain,
( e1 = e3
| e0 = e1
| e1 = op(e3,e3)
| ~ spl66_12
| ~ spl66_22
| ~ spl66_157 ),
inference(duplicate_literal_removal,[],[f4087]) ).
fof(f4087,plain,
( e1 = e3
| e0 = e1
| e1 = e3
| e1 = op(e3,e3)
| ~ spl66_12
| ~ spl66_22
| ~ spl66_157 ),
inference(forward_demodulation,[],[f3282,f741]) ).
fof(f3282,plain,
( e0 = e1
| e1 = e3
| e1 = op(e3,e3)
| e1 = op(e3,e0)
| ~ spl66_12
| ~ spl66_157 ),
inference(forward_demodulation,[],[f3101,f1391]) ).
fof(f4150,plain,
( ~ spl66_176
| spl66_128
| ~ spl66_157 ),
inference(avatar_split_clause,[],[f1725,f1390,f1257,f1491]) ).
fof(f1257,plain,
( spl66_128
<=> op(e3,e0) = op(e3,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl66_128])]) ).
fof(f1725,plain,
( e0 != op(e3,e0)
| spl66_128
| ~ spl66_157 ),
inference(superposition,[],[f1259,f1391]) ).
fof(f1259,plain,
( op(e3,e0) != op(e3,e1)
| spl66_128 ),
inference(avatar_component_clause,[],[f1257]) ).
fof(f4137,plain,
( spl66_37
| spl66_2
| ~ spl66_22
| ~ spl66_147
| ~ spl66_175
| ~ spl66_176 ),
inference(avatar_split_clause,[],[f4122,f1491,f1487,f1347,f739,f643,f811]) ).
fof(f4122,plain,
( e0 = e2
| e2 = op(e2,e1)
| ~ spl66_22
| ~ spl66_147
| ~ spl66_175
| ~ spl66_176 ),
inference(duplicate_literal_removal,[],[f4121]) ).
fof(f4121,plain,
( e0 = e2
| e0 = e2
| e2 = op(e2,e1)
| ~ spl66_22
| ~ spl66_147
| ~ spl66_175
| ~ spl66_176 ),
inference(forward_demodulation,[],[f4120,f1489]) ).
fof(f4120,plain,
( e2 = op(e2,e0)
| e0 = e2
| e2 = op(e2,e1)
| ~ spl66_22
| ~ spl66_147
| ~ spl66_175
| ~ spl66_176 ),
inference(forward_demodulation,[],[f3482,f4112]) ).
fof(f3482,plain,
( e0 = e2
| e2 = op(e2,e3)
| e2 = op(e2,e1)
| ~ spl66_147
| ~ spl66_175 ),
inference(duplicate_literal_removal,[],[f3481]) ).
fof(f3481,plain,
( e0 = e2
| e0 = e2
| e2 = op(e2,e3)
| e2 = op(e2,e1)
| ~ spl66_147
| ~ spl66_175 ),
inference(forward_demodulation,[],[f3480,f1489]) ).
fof(f3480,plain,
( e0 = e2
| e2 = op(e2,e3)
| e2 = op(e2,e1)
| e2 = op(e2,e0)
| ~ spl66_147 ),
inference(forward_demodulation,[],[f537,f1348]) ).
fof(f4119,plain,
( spl66_167
| spl66_1
| spl66_4
| ~ spl66_37
| ~ spl66_147
| ~ spl66_175 ),
inference(avatar_split_clause,[],[f4083,f1487,f1347,f811,f653,f638,f1433]) ).
fof(f4083,plain,
( e1 = e2
| e0 = e1
| e1 = op(e2,e3)
| ~ spl66_37
| ~ spl66_147
| ~ spl66_175 ),
inference(forward_demodulation,[],[f3456,f813]) ).
fof(f3456,plain,
( e0 = e1
| e1 = op(e2,e3)
| e1 = op(e2,e1)
| ~ spl66_147
| ~ spl66_175 ),
inference(duplicate_literal_removal,[],[f3455]) ).
fof(f3455,plain,
( e0 = e1
| e0 = e1
| e1 = op(e2,e3)
| e1 = op(e2,e1)
| ~ spl66_147
| ~ spl66_175 ),
inference(forward_demodulation,[],[f2098,f1489]) ).
fof(f2098,plain,
( e0 = e1
| e1 = op(e2,e3)
| e1 = op(e2,e1)
| e1 = op(e2,e0)
| ~ spl66_147 ),
inference(forward_demodulation,[],[f535,f1348]) ).
fof(f4080,plain,
( spl66_1
| ~ spl66_37
| ~ spl66_147
| ~ spl66_160
| ~ spl66_170
| ~ spl66_175
| ~ spl66_176 ),
inference(avatar_split_clause,[],[f4067,f1491,f1487,f1446,f1403,f1347,f811,f638]) ).
fof(f4067,plain,
( e0 = e1
| ~ spl66_37
| ~ spl66_147
| ~ spl66_160
| ~ spl66_170
| ~ spl66_175
| ~ spl66_176 ),
inference(duplicate_literal_removal,[],[f4066]) ).
fof(f4066,plain,
( e0 = e1
| e0 = e1
| ~ spl66_37
| ~ spl66_147
| ~ spl66_160
| ~ spl66_170
| ~ spl66_175
| ~ spl66_176 ),
inference(forward_demodulation,[],[f4065,f4051]) ).
fof(f4065,plain,
( e0 = e1
| op(e0,e0) = e1
| ~ spl66_37
| ~ spl66_160
| ~ spl66_170
| ~ spl66_175
| ~ spl66_176 ),
inference(duplicate_literal_removal,[],[f4064]) ).
fof(f4064,plain,
( e0 = e1
| e0 = e1
| op(e0,e0) = e1
| ~ spl66_37
| ~ spl66_160
| ~ spl66_170
| ~ spl66_175
| ~ spl66_176 ),
inference(forward_demodulation,[],[f4063,f1493]) ).
fof(f4063,plain,
( e0 = e1
| e1 = op(e3,e0)
| op(e0,e0) = e1
| ~ spl66_37
| ~ spl66_160
| ~ spl66_170
| ~ spl66_175 ),
inference(duplicate_literal_removal,[],[f4062]) ).
fof(f4062,plain,
( e0 = e1
| e0 = e1
| e1 = op(e3,e0)
| op(e0,e0) = e1
| ~ spl66_37
| ~ spl66_160
| ~ spl66_170
| ~ spl66_175 ),
inference(forward_demodulation,[],[f3800,f4027]) ).
fof(f3800,plain,
( e0 = e1
| e1 = e2
| e1 = op(e3,e0)
| op(e0,e0) = e1
| ~ spl66_170
| ~ spl66_175 ),
inference(forward_demodulation,[],[f2044,f1489]) ).
fof(f4061,plain,
( spl66_1
| ~ spl66_151
| ~ spl66_175 ),
inference(avatar_split_clause,[],[f2658,f1487,f1364,f638]) ).
fof(f2658,plain,
( e0 = e1
| ~ spl66_151
| ~ spl66_175 ),
inference(superposition,[],[f1489,f1365]) ).
fof(f4060,plain,
( spl66_176
| ~ spl66_151
| ~ spl66_157
| ~ spl66_175 ),
inference(avatar_split_clause,[],[f4059,f1487,f1390,f1364,f1491]) ).
fof(f4059,plain,
( e0 = op(e3,e0)
| ~ spl66_151
| ~ spl66_157
| ~ spl66_175 ),
inference(forward_demodulation,[],[f1391,f2658]) ).
fof(f4052,plain,
( spl66_157
| spl66_150
| spl66_3
| ~ spl66_12
| ~ spl66_22 ),
inference(avatar_split_clause,[],[f4001,f739,f691,f648,f1360,f1390]) ).
fof(f4001,plain,
( e0 = e3
| e0 = op(e3,e3)
| e0 = op(e3,e1)
| ~ spl66_12
| ~ spl66_22 ),
inference(duplicate_literal_removal,[],[f4000]) ).
fof(f4000,plain,
( e0 = e3
| e0 = e3
| e0 = op(e3,e3)
| e0 = op(e3,e1)
| ~ spl66_12
| ~ spl66_22 ),
inference(forward_demodulation,[],[f2927,f741]) ).
fof(f2927,plain,
( e0 = e3
| e0 = op(e3,e3)
| e0 = op(e3,e1)
| e0 = op(e3,e0)
| ~ spl66_12 ),
inference(forward_demodulation,[],[f541,f693]) ).
fof(f4043,plain,
( spl66_147
| spl66_155
| spl66_3
| ~ spl66_149
| ~ spl66_158 ),
inference(avatar_split_clause,[],[f3949,f1394,f1355,f648,f1381,f1347]) ).
fof(f3949,plain,
( e0 = e3
| e0 = op(e3,e2)
| e0 = op(e2,e2)
| ~ spl66_149
| ~ spl66_158 ),
inference(duplicate_literal_removal,[],[f3948]) ).
fof(f3948,plain,
( e0 = e3
| e0 = e3
| e0 = op(e3,e2)
| e0 = op(e2,e2)
| ~ spl66_149
| ~ spl66_158 ),
inference(forward_demodulation,[],[f2042,f1395]) ).
fof(f3999,plain,
( spl66_5
| ~ spl66_22
| ~ spl66_148 ),
inference(avatar_split_clause,[],[f3817,f1351,f739,f658]) ).
fof(f3817,plain,
( e1 = e3
| ~ spl66_22
| ~ spl66_148 ),
inference(superposition,[],[f1352,f741]) ).
fof(f3942,plain,
( spl66_37
| spl66_4
| spl66_2
| ~ spl66_77
| ~ spl66_144
| ~ spl66_184 ),
inference(avatar_split_clause,[],[f3130,f1666,f1334,f1003,f643,f653,f811]) ).
fof(f3130,plain,
( e0 = e2
| e1 = e2
| e2 = op(e2,e1)
| ~ spl66_77
| ~ spl66_144
| ~ spl66_184 ),
inference(duplicate_literal_removal,[],[f3129]) ).
fof(f3129,plain,
( e0 = e2
| e0 = e2
| e1 = e2
| e2 = op(e2,e1)
| ~ spl66_77
| ~ spl66_144
| ~ spl66_184 ),
inference(forward_demodulation,[],[f3128,f1005]) ).
fof(f3128,plain,
( e0 = e2
| e1 = e2
| e2 = op(e2,e1)
| e2 = op(e0,e1)
| ~ spl66_144
| ~ spl66_184 ),
inference(forward_demodulation,[],[f3127,f1335]) ).
fof(f3127,plain,
( e1 = e2
| e2 = op(e2,e1)
| e2 = op(e1,e1)
| e2 = op(e0,e1)
| ~ spl66_184 ),
inference(forward_demodulation,[],[f530,f1668]) ).
fof(f3931,plain,
( spl66_184
| spl66_5
| spl66_1
| ~ spl66_77
| ~ spl66_144
| ~ spl66_169 ),
inference(avatar_split_clause,[],[f3082,f1442,f1334,f1003,f638,f658,f1666]) ).
fof(f3082,plain,
( e0 = e1
| e1 = e3
| e1 = op(e3,e1)
| ~ spl66_77
| ~ spl66_144
| ~ spl66_169 ),
inference(duplicate_literal_removal,[],[f3081]) ).
fof(f3081,plain,
( e0 = e1
| e1 = e3
| e0 = e1
| e1 = op(e3,e1)
| ~ spl66_77
| ~ spl66_144
| ~ spl66_169 ),
inference(forward_demodulation,[],[f3080,f1005]) ).
fof(f3080,plain,
( e1 = e3
| e0 = e1
| e1 = op(e3,e1)
| e1 = op(e0,e1)
| ~ spl66_144
| ~ spl66_169 ),
inference(forward_demodulation,[],[f1678,f1443]) ).
fof(f1678,plain,
( e0 = e1
| e1 = op(e3,e1)
| e1 = op(e2,e1)
| e1 = op(e0,e1)
| ~ spl66_144 ),
inference(forward_demodulation,[],[f528,f1335]) ).
fof(f3909,plain,
( spl66_172
| spl66_159
| spl66_5
| ~ spl66_17
| ~ spl66_22 ),
inference(avatar_split_clause,[],[f3852,f739,f715,f658,f1399,f1455]) ).
fof(f3852,plain,
( e1 = e3
| e1 = op(e3,e3)
| e1 = op(e3,e2)
| ~ spl66_17
| ~ spl66_22 ),
inference(duplicate_literal_removal,[],[f3851]) ).
fof(f3851,plain,
( e1 = e3
| e1 = e3
| e1 = op(e3,e3)
| e1 = op(e3,e2)
| ~ spl66_17
| ~ spl66_22 ),
inference(forward_demodulation,[],[f3751,f741]) ).
fof(f3901,plain,
( spl66_155
| spl66_2
| spl66_3
| ~ spl66_32
| ~ spl66_149
| ~ spl66_158 ),
inference(avatar_split_clause,[],[f3888,f1394,f1355,f787,f648,f643,f1381]) ).
fof(f3888,plain,
( e0 = e3
| e0 = e2
| e0 = op(e3,e2)
| ~ spl66_32
| ~ spl66_149
| ~ spl66_158 ),
inference(duplicate_literal_removal,[],[f3887]) ).
fof(f3887,plain,
( e0 = e3
| e0 = e2
| e0 = e3
| e0 = op(e3,e2)
| ~ spl66_32
| ~ spl66_149
| ~ spl66_158 ),
inference(forward_demodulation,[],[f3886,f1395]) ).
fof(f3886,plain,
( e0 = e2
| e0 = e3
| e0 = op(e3,e2)
| e0 = op(e1,e2)
| ~ spl66_32
| ~ spl66_149 ),
inference(forward_demodulation,[],[f2042,f789]) ).
fof(f3882,plain,
( spl66_179
| spl66_150
| spl66_3
| ~ spl66_181
| ~ spl66_186 ),
inference(avatar_split_clause,[],[f3797,f1774,f1568,f648,f1360,f1535]) ).
fof(f3797,plain,
( e0 = e3
| e0 = op(e3,e3)
| e0 = op(e1,e3)
| ~ spl66_181
| ~ spl66_186 ),
inference(duplicate_literal_removal,[],[f3796]) ).
fof(f3796,plain,
( e0 = e3
| e0 = e3
| e0 = op(e3,e3)
| e0 = op(e1,e3)
| ~ spl66_181
| ~ spl66_186 ),
inference(forward_demodulation,[],[f3665,f1776]) ).
fof(f3665,plain,
( e0 = e3
| e0 = op(e3,e3)
| e0 = op(e1,e3)
| e0 = op(e0,e3)
| ~ spl66_181 ),
inference(forward_demodulation,[],[f542,f1570]) ).
fof(f3867,plain,
( ~ spl66_47
| spl66_167
| ~ spl66_177
| ~ spl66_182 ),
inference(avatar_split_clause,[],[f2252,f1599,f1503,f1433,f859]) ).
fof(f2252,plain,
( e1 != op(e1,e3)
| spl66_167
| ~ spl66_177
| ~ spl66_182 ),
inference(forward_demodulation,[],[f1435,f2227]) ).
fof(f1435,plain,
( e1 != op(e2,e3)
| spl66_167 ),
inference(avatar_component_clause,[],[f1433]) ).
fof(f3849,plain,
( spl66_2
| ~ spl66_22
| ~ spl66_144
| ~ spl66_148
| ~ spl66_165 ),
inference(avatar_split_clause,[],[f3847,f1425,f1351,f1334,f739,f643]) ).
fof(f3847,plain,
( e0 = e2
| ~ spl66_22
| ~ spl66_144
| ~ spl66_148
| ~ spl66_165 ),
inference(forward_demodulation,[],[f3846,f1335]) ).
fof(f3846,plain,
( e2 = op(e1,e1)
| ~ spl66_22
| ~ spl66_148
| ~ spl66_165 ),
inference(forward_demodulation,[],[f1426,f3817]) ).
fof(f3826,plain,
( spl66_161
| spl66_165
| spl66_6
| ~ spl66_181
| ~ spl66_186 ),
inference(avatar_split_clause,[],[f3793,f1774,f1568,f663,f1425,f1407]) ).
fof(f3793,plain,
( e2 = e3
| e2 = op(e3,e3)
| e2 = op(e1,e3)
| ~ spl66_181
| ~ spl66_186 ),
inference(duplicate_literal_removal,[],[f3792]) ).
fof(f3792,plain,
( e2 = e3
| e2 = e3
| e2 = op(e3,e3)
| e2 = op(e1,e3)
| ~ spl66_181
| ~ spl66_186 ),
inference(forward_demodulation,[],[f3791,f1776]) ).
fof(f3815,plain,
( spl66_148
| spl66_1
| spl66_4
| ~ spl66_170
| ~ spl66_171
| ~ spl66_175 ),
inference(avatar_split_clause,[],[f3799,f1487,f1451,f1446,f653,f638,f1351]) ).
fof(f3799,plain,
( e1 = e2
| e0 = e1
| e1 = op(e3,e0)
| ~ spl66_170
| ~ spl66_171
| ~ spl66_175 ),
inference(duplicate_literal_removal,[],[f3798]) ).
fof(f3798,plain,
( e1 = e2
| e0 = e1
| e1 = e2
| e1 = op(e3,e0)
| ~ spl66_170
| ~ spl66_171
| ~ spl66_175 ),
inference(forward_demodulation,[],[f3184,f1452]) ).
fof(f3184,plain,
( e0 = e1
| e1 = e2
| e1 = op(e3,e0)
| op(e0,e0) = e1
| ~ spl66_170
| ~ spl66_175 ),
inference(forward_demodulation,[],[f2044,f1489]) ).
fof(f3814,plain,
( spl66_167
| spl66_4
| spl66_1
| ~ spl66_32
| ~ spl66_37
| ~ spl66_175 ),
inference(avatar_split_clause,[],[f3752,f1487,f811,f787,f638,f653,f1433]) ).
fof(f3752,plain,
( e0 = e1
| e1 = e2
| e1 = op(e2,e3)
| ~ spl66_32
| ~ spl66_37
| ~ spl66_175 ),
inference(forward_demodulation,[],[f3698,f1489]) ).
fof(f3698,plain,
( e1 = e2
| e1 = op(e2,e3)
| e1 = op(e2,e0)
| ~ spl66_32
| ~ spl66_37 ),
inference(duplicate_literal_removal,[],[f2984]) ).
fof(f2984,plain,
( e1 = e2
| e1 = e2
| e1 = op(e2,e3)
| e1 = op(e2,e0)
| ~ spl66_32
| ~ spl66_37 ),
inference(forward_demodulation,[],[f1959,f813]) ).
fof(f3786,plain,
( spl66_159
| spl66_4
| spl66_5
| ~ spl66_161
| ~ spl66_181
| ~ spl66_186 ),
inference(avatar_split_clause,[],[f3658,f1774,f1568,f1407,f658,f653,f1399]) ).
fof(f3658,plain,
( e1 = e3
| e1 = e2
| e1 = op(e3,e3)
| ~ spl66_161
| ~ spl66_181
| ~ spl66_186 ),
inference(duplicate_literal_removal,[],[f3657]) ).
fof(f3657,plain,
( e1 = e3
| e1 = e2
| e1 = e3
| e1 = op(e3,e3)
| ~ spl66_161
| ~ spl66_181
| ~ spl66_186 ),
inference(forward_demodulation,[],[f3100,f1776]) ).
fof(f3100,plain,
( e1 = e2
| e1 = e3
| e1 = op(e3,e3)
| e1 = op(e0,e3)
| ~ spl66_161
| ~ spl66_181 ),
inference(forward_demodulation,[],[f3099,f1408]) ).
fof(f3099,plain,
( e1 = e3
| e1 = op(e3,e3)
| e1 = op(e1,e3)
| e1 = op(e0,e3)
| ~ spl66_181 ),
inference(forward_demodulation,[],[f544,f1570]) ).
fof(f3747,plain,
( spl66_6
| ~ spl66_171
| ~ spl66_185 ),
inference(avatar_split_clause,[],[f3289,f1770,f1451,f663]) ).
fof(f3289,plain,
( e2 = e3
| ~ spl66_171
| ~ spl66_185 ),
inference(superposition,[],[f1772,f1452]) ).
fof(f3746,plain,
( spl66_37
| ~ spl66_17
| ~ spl66_171
| ~ spl66_185 ),
inference(avatar_split_clause,[],[f3370,f1770,f1451,f715,f811]) ).
fof(f3370,plain,
( e2 = op(e2,e1)
| ~ spl66_17
| ~ spl66_171
| ~ spl66_185 ),
inference(forward_demodulation,[],[f717,f3289]) ).
fof(f3697,plain,
( spl66_165
| spl66_6
| ~ spl66_12
| ~ spl66_17
| ~ spl66_22 ),
inference(avatar_split_clause,[],[f3670,f739,f715,f691,f663,f1425]) ).
fof(f3670,plain,
( e2 = e3
| e2 = op(e3,e3)
| ~ spl66_12
| ~ spl66_17
| ~ spl66_22 ),
inference(duplicate_literal_removal,[],[f3669]) ).
fof(f3669,plain,
( e2 = e3
| e2 = e3
| e2 = op(e3,e3)
| ~ spl66_12
| ~ spl66_17
| ~ spl66_22 ),
inference(forward_demodulation,[],[f3414,f741]) ).
fof(f3414,plain,
( e2 = e3
| e2 = op(e3,e3)
| e2 = op(e3,e0)
| ~ spl66_12
| ~ spl66_17 ),
inference(duplicate_literal_removal,[],[f3413]) ).
fof(f3644,plain,
( spl66_6
| ~ spl66_152
| ~ spl66_186 ),
inference(avatar_split_clause,[],[f3494,f1774,f1368,f663]) ).
fof(f3494,plain,
( e2 = e3
| ~ spl66_152
| ~ spl66_186 ),
inference(superposition,[],[f1369,f1776]) ).
fof(f3636,plain,
( spl66_32
| ~ spl66_152
| ~ spl66_181
| ~ spl66_186 ),
inference(avatar_split_clause,[],[f3582,f1774,f1568,f1368,f787]) ).
fof(f3582,plain,
( e2 = op(e2,e2)
| ~ spl66_152
| ~ spl66_181
| ~ spl66_186 ),
inference(forward_demodulation,[],[f1570,f3494]) ).
fof(f3593,plain,
( spl66_2
| ~ spl66_147
| ~ spl66_152
| ~ spl66_181
| ~ spl66_186 ),
inference(avatar_split_clause,[],[f3583,f1774,f1568,f1368,f1347,f643]) ).
fof(f3583,plain,
( e0 = e2
| ~ spl66_147
| ~ spl66_152
| ~ spl66_181
| ~ spl66_186 ),
inference(forward_demodulation,[],[f3582,f1348]) ).
fof(f3547,plain,
( spl66_1
| ~ spl66_147
| ~ spl66_152
| ~ spl66_167
| ~ spl66_186 ),
inference(avatar_split_clause,[],[f3546,f1774,f1433,f1368,f1347,f638]) ).
fof(f3546,plain,
( e0 = e1
| ~ spl66_147
| ~ spl66_152
| ~ spl66_167
| ~ spl66_186 ),
inference(forward_demodulation,[],[f3545,f1348]) ).
fof(f3545,plain,
( e1 = op(e2,e2)
| ~ spl66_152
| ~ spl66_167
| ~ spl66_186 ),
inference(forward_demodulation,[],[f1434,f3494]) ).
fof(f3509,plain,
( spl66_159
| spl66_1
| spl66_5
| ~ spl66_179
| ~ spl66_181
| ~ spl66_186 ),
inference(avatar_split_clause,[],[f3492,f1774,f1568,f1535,f658,f638,f1399]) ).
fof(f3492,plain,
( e1 = e3
| e0 = e1
| e1 = op(e3,e3)
| ~ spl66_179
| ~ spl66_181
| ~ spl66_186 ),
inference(duplicate_literal_removal,[],[f3491]) ).
fof(f3491,plain,
( e1 = e3
| e0 = e1
| e1 = e3
| e1 = op(e3,e3)
| ~ spl66_179
| ~ spl66_181
| ~ spl66_186 ),
inference(forward_demodulation,[],[f3490,f1776]) ).
fof(f3490,plain,
( e0 = e1
| e1 = e3
| e1 = op(e3,e3)
| e1 = op(e0,e3)
| ~ spl66_179
| ~ spl66_181 ),
inference(forward_demodulation,[],[f3099,f1537]) ).
fof(f3473,plain,
( spl66_167
| spl66_5
| spl66_1
| ~ spl66_147
| ~ spl66_169
| ~ spl66_175 ),
inference(avatar_split_clause,[],[f3166,f1487,f1442,f1347,f638,f658,f1433]) ).
fof(f3166,plain,
( e0 = e1
| e1 = e3
| e1 = op(e2,e3)
| ~ spl66_147
| ~ spl66_169
| ~ spl66_175 ),
inference(duplicate_literal_removal,[],[f3165]) ).
fof(f3165,plain,
( e0 = e1
| e1 = e3
| e0 = e1
| e1 = op(e2,e3)
| ~ spl66_147
| ~ spl66_169
| ~ spl66_175 ),
inference(forward_demodulation,[],[f3164,f1489]) ).
fof(f3164,plain,
( e1 = e3
| e0 = e1
| e1 = op(e2,e3)
| e1 = op(e2,e0)
| ~ spl66_147
| ~ spl66_169 ),
inference(forward_demodulation,[],[f2098,f1443]) ).
fof(f3460,plain,
( spl66_169
| spl66_6
| spl66_3
| ~ spl66_27
| ~ spl66_147
| ~ spl66_175 ),
inference(avatar_split_clause,[],[f3454,f1487,f1347,f763,f648,f663,f1442]) ).
fof(f3454,plain,
( e0 = e3
| e2 = e3
| e3 = op(e2,e1)
| ~ spl66_27
| ~ spl66_147
| ~ spl66_175 ),
inference(duplicate_literal_removal,[],[f3453]) ).
fof(f3453,plain,
( e0 = e3
| e0 = e3
| e2 = e3
| e3 = op(e2,e1)
| ~ spl66_27
| ~ spl66_147
| ~ spl66_175 ),
inference(forward_demodulation,[],[f3412,f1489]) ).
fof(f3412,plain,
( e0 = e3
| e2 = e3
| e3 = op(e2,e1)
| e3 = op(e2,e0)
| ~ spl66_27
| ~ spl66_147 ),
inference(forward_demodulation,[],[f3344,f1348]) ).
fof(f3452,plain,
( spl66_6
| spl66_3
| ~ spl66_27
| ~ spl66_37
| ~ spl66_147
| ~ spl66_175 ),
inference(avatar_split_clause,[],[f3398,f1487,f1347,f811,f763,f648,f663]) ).
fof(f3398,plain,
( e0 = e3
| e2 = e3
| ~ spl66_27
| ~ spl66_37
| ~ spl66_147
| ~ spl66_175 ),
inference(duplicate_literal_removal,[],[f3397]) ).
fof(f3397,plain,
( e0 = e3
| e2 = e3
| e0 = e3
| ~ spl66_27
| ~ spl66_37
| ~ spl66_147
| ~ spl66_175 ),
inference(forward_demodulation,[],[f3396,f1489]) ).
fof(f3421,plain,
( spl66_3
| ~ spl66_173
| ~ spl66_175 ),
inference(avatar_split_clause,[],[f3419,f1487,f1459,f648]) ).
fof(f3419,plain,
( e0 = e3
| ~ spl66_173
| ~ spl66_175 ),
inference(forward_demodulation,[],[f1460,f1489]) ).
fof(f3383,plain,
( spl66_4
| spl66_1
| ~ spl66_147
| ~ spl66_158
| ~ spl66_171
| ~ spl66_183
| ~ spl66_185 ),
inference(avatar_split_clause,[],[f3343,f1770,f1603,f1451,f1394,f1347,f638,f653]) ).
fof(f3343,plain,
( e0 = e1
| e1 = e2
| ~ spl66_147
| ~ spl66_158
| ~ spl66_171
| ~ spl66_183
| ~ spl66_185 ),
inference(duplicate_literal_removal,[],[f3342]) ).
fof(f3342,plain,
( e0 = e1
| e1 = e2
| e0 = e1
| ~ spl66_147
| ~ spl66_158
| ~ spl66_171
| ~ spl66_183
| ~ spl66_185 ),
inference(forward_demodulation,[],[f3341,f1348]) ).
fof(f3341,plain,
( e1 = op(e2,e2)
| e1 = e2
| e0 = e1
| ~ spl66_147
| ~ spl66_158
| ~ spl66_171
| ~ spl66_183
| ~ spl66_185 ),
inference(forward_demodulation,[],[f3340,f3289]) ).
fof(f3340,plain,
( e1 = e2
| e0 = e1
| e1 = op(e3,e2)
| ~ spl66_147
| ~ spl66_158
| ~ spl66_171
| ~ spl66_183
| ~ spl66_185 ),
inference(duplicate_literal_removal,[],[f3339]) ).
fof(f3339,plain,
( e1 = e2
| e0 = e1
| e1 = e2
| e1 = op(e3,e2)
| ~ spl66_147
| ~ spl66_158
| ~ spl66_171
| ~ spl66_183
| ~ spl66_185 ),
inference(forward_demodulation,[],[f3170,f3289]) ).
fof(f3170,plain,
( e0 = e1
| e1 = e2
| e1 = e3
| e1 = op(e3,e2)
| ~ spl66_147
| ~ spl66_158
| ~ spl66_183 ),
inference(forward_demodulation,[],[f2921,f1348]) ).
fof(f2921,plain,
( e1 = e2
| e1 = e3
| e1 = op(e3,e2)
| e1 = op(e2,e2)
| ~ spl66_158
| ~ spl66_183 ),
inference(forward_demodulation,[],[f2920,f1605]) ).
fof(f3371,plain,
( spl66_37
| ~ spl66_17
| ~ spl66_171
| ~ spl66_185 ),
inference(avatar_split_clause,[],[f3370,f1770,f1451,f715,f811]) ).
fof(f3337,plain,
( spl66_4
| spl66_1
| ~ spl66_147
| ~ spl66_169
| ~ spl66_171
| ~ spl66_175
| ~ spl66_185 ),
inference(avatar_split_clause,[],[f3334,f1770,f1487,f1451,f1442,f1347,f638,f653]) ).
fof(f3334,plain,
( e0 = e1
| e1 = e2
| ~ spl66_147
| ~ spl66_169
| ~ spl66_171
| ~ spl66_175
| ~ spl66_185 ),
inference(duplicate_literal_removal,[],[f3333]) ).
fof(f3333,plain,
( e0 = e1
| e1 = e2
| e0 = e1
| ~ spl66_147
| ~ spl66_169
| ~ spl66_171
| ~ spl66_175
| ~ spl66_185 ),
inference(forward_demodulation,[],[f3332,f1348]) ).
fof(f3332,plain,
( e1 = op(e2,e2)
| e1 = e2
| e0 = e1
| ~ spl66_147
| ~ spl66_169
| ~ spl66_171
| ~ spl66_175
| ~ spl66_185 ),
inference(forward_demodulation,[],[f3331,f3289]) ).
fof(f3331,plain,
( e1 = e2
| e0 = e1
| e1 = op(e2,e3)
| ~ spl66_147
| ~ spl66_169
| ~ spl66_171
| ~ spl66_175
| ~ spl66_185 ),
inference(forward_demodulation,[],[f3166,f3289]) ).
fof(f3322,plain,
( spl66_5
| ~ spl66_169
| ~ spl66_190 ),
inference(avatar_split_clause,[],[f3272,f3071,f1442,f658]) ).
fof(f3272,plain,
( e1 = e3
| ~ spl66_169
| ~ spl66_190 ),
inference(superposition,[],[f1443,f3073]) ).
fof(f3296,plain,
( spl66_145
| spl66_165
| spl66_6
| spl66_2
| ~ spl66_12
| ~ spl66_157 ),
inference(avatar_split_clause,[],[f3284,f1390,f691,f643,f663,f1425,f1338]) ).
fof(f3284,plain,
( e0 = e2
| e2 = e3
| e2 = op(e3,e3)
| e2 = op(e3,e0)
| ~ spl66_12
| ~ spl66_157 ),
inference(forward_demodulation,[],[f3283,f1391]) ).
fof(f3293,plain,
( ~ spl66_155
| ~ spl66_169
| ~ spl66_188 ),
inference(avatar_split_clause,[],[f3279,f1796,f1442,f1381]) ).
fof(f3279,plain,
( e0 != op(e3,e2)
| ~ spl66_169
| ~ spl66_188 ),
inference(trivial_inequality_removal,[],[f3278]) ).
fof(f3278,plain,
( e3 != e3
| e0 != op(e3,e2)
| ~ spl66_169
| ~ spl66_188 ),
inference(forward_demodulation,[],[f2393,f1443]) ).
fof(f2393,plain,
( e3 != op(e2,e1)
| e0 != op(e3,e2)
| ~ spl66_188 ),
inference(trivial_inequality_removal,[],[f2392]) ).
fof(f2392,plain,
( e2 != e2
| e3 != op(e2,e1)
| e0 != op(e3,e2)
| ~ spl66_188 ),
inference(forward_demodulation,[],[f618,f1798]) ).
fof(f618,plain,
( e3 != op(e2,e1)
| e0 != op(e3,e2)
| e2 != op(e1,e1) ),
inference(inner_rewriting,[],[f617]) ).
fof(f617,plain,
( e3 != op(op(e1,e1),e1)
| e0 != op(e3,op(e1,e1))
| e2 != op(e1,e1) ),
inference(inner_rewriting,[],[f579]) ).
fof(f579,plain,
( e3 != op(op(e1,e1),e1)
| e0 != op(op(op(e1,e1),e1),op(e1,e1))
| e2 != op(e1,e1) ),
inference(cnf_transformation,[],[f44]) ).
fof(f44,plain,
( e3 != op(op(e1,e1),e1)
| e0 != op(op(op(e1,e1),e1),op(e1,e1))
| e2 != op(e1,e1) ),
inference(ennf_transformation,[],[f20]) ).
fof(f20,axiom,
~ ( e3 = op(op(e1,e1),e1)
& e0 = op(op(op(e1,e1),e1),op(e1,e1))
& e2 = op(e1,e1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax20) ).
fof(f3276,plain,
( spl66_1
| ~ spl66_157
| ~ spl66_184 ),
inference(avatar_split_clause,[],[f3250,f1666,f1390,f638]) ).
fof(f3250,plain,
( e0 = e1
| ~ spl66_157
| ~ spl66_184 ),
inference(superposition,[],[f1391,f1668]) ).
fof(f3237,plain,
( spl66_6
| ~ spl66_27
| ~ spl66_181 ),
inference(avatar_split_clause,[],[f3225,f1568,f763,f663]) ).
fof(f3225,plain,
( e2 = e3
| ~ spl66_27
| ~ spl66_181 ),
inference(superposition,[],[f765,f1570]) ).
fof(f3208,plain,
( spl66_4
| ~ spl66_62
| ~ spl66_170 ),
inference(avatar_split_clause,[],[f3186,f1446,f931,f653]) ).
fof(f3186,plain,
( e1 = e2
| ~ spl66_62
| ~ spl66_170 ),
inference(forward_demodulation,[],[f1447,f933]) ).
fof(f3160,plain,
( spl66_32
| spl66_27
| spl66_6
| spl66_2
| ~ spl66_169
| ~ spl66_175 ),
inference(avatar_split_clause,[],[f3051,f1487,f1442,f643,f663,f763,f787]) ).
fof(f3051,plain,
( e0 = e2
| e2 = e3
| e2 = op(e2,e3)
| e2 = op(e2,e2)
| ~ spl66_169
| ~ spl66_175 ),
inference(forward_demodulation,[],[f3050,f1489]) ).
fof(f3050,plain,
( e2 = e3
| e2 = op(e2,e3)
| e2 = op(e2,e2)
| e2 = op(e2,e0)
| ~ spl66_169 ),
inference(forward_demodulation,[],[f537,f1443]) ).
fof(f3151,plain,
( spl66_147
| spl66_155
| spl66_3
| spl66_2
| ~ spl66_158
| ~ spl66_183 ),
inference(avatar_split_clause,[],[f2838,f1603,f1394,f643,f648,f1381,f1347]) ).
fof(f2838,plain,
( e0 = e2
| e0 = e3
| e0 = op(e3,e2)
| e0 = op(e2,e2)
| ~ spl66_158
| ~ spl66_183 ),
inference(forward_demodulation,[],[f2837,f1605]) ).
fof(f3124,plain,
( spl66_4
| ~ spl66_178
| ~ spl66_183 ),
inference(avatar_split_clause,[],[f3066,f1603,f1507,f653]) ).
fof(f3066,plain,
( e1 = e2
| ~ spl66_178
| ~ spl66_183 ),
inference(superposition,[],[f1509,f1605]) ).
fof(f3077,plain,
( spl66_1
| ~ spl66_144
| ~ spl66_178
| ~ spl66_183
| ~ spl66_190 ),
inference(avatar_split_clause,[],[f3076,f3071,f1603,f1507,f1334,f638]) ).
fof(f3076,plain,
( e0 = e1
| ~ spl66_144
| ~ spl66_178
| ~ spl66_183
| ~ spl66_190 ),
inference(forward_demodulation,[],[f3075,f1335]) ).
fof(f3075,plain,
( e1 = op(e1,e1)
| ~ spl66_178
| ~ spl66_183
| ~ spl66_190 ),
inference(forward_demodulation,[],[f3073,f3066]) ).
fof(f3074,plain,
( spl66_190
| spl66_1
| ~ spl66_77
| ~ spl66_144
| ~ spl66_157 ),
inference(avatar_split_clause,[],[f3047,f1390,f1334,f1003,f638,f3071]) ).
fof(f3047,plain,
( e0 = e1
| e1 = op(e2,e1)
| ~ spl66_77
| ~ spl66_144
| ~ spl66_157 ),
inference(duplicate_literal_removal,[],[f3046]) ).
fof(f3046,plain,
( e0 = e1
| e0 = e1
| e1 = op(e2,e1)
| ~ spl66_77
| ~ spl66_144
| ~ spl66_157 ),
inference(forward_demodulation,[],[f3045,f1005]) ).
fof(f3045,plain,
( e0 = e1
| e1 = op(e2,e1)
| e1 = op(e0,e1)
| ~ spl66_144
| ~ spl66_157 ),
inference(duplicate_literal_removal,[],[f3044]) ).
fof(f3044,plain,
( e0 = e1
| e0 = e1
| e1 = op(e2,e1)
| e1 = op(e0,e1)
| ~ spl66_144
| ~ spl66_157 ),
inference(forward_demodulation,[],[f1678,f1391]) ).
fof(f3043,plain,
( spl66_5
| ~ spl66_168
| ~ spl66_185 ),
inference(avatar_split_clause,[],[f3021,f1770,f1438,f658]) ).
fof(f3021,plain,
( e1 = e3
| ~ spl66_168
| ~ spl66_185 ),
inference(superposition,[],[f1439,f1772]) ).
fof(f3025,plain,
( spl66_144
| spl66_179
| spl66_1
| spl66_3
| ~ spl66_62
| ~ spl66_158 ),
inference(avatar_split_clause,[],[f2806,f1394,f931,f648,f638,f1535,f1334]) ).
fof(f2806,plain,
( e0 = e3
| e0 = e1
| e0 = op(e1,e3)
| e0 = op(e1,e1)
| ~ spl66_62
| ~ spl66_158 ),
inference(forward_demodulation,[],[f2778,f1395]) ).
fof(f2998,plain,
( spl66_5
| ~ spl66_146
| ~ spl66_177 ),
inference(avatar_split_clause,[],[f2993,f1503,f1342,f658]) ).
fof(f2993,plain,
( e1 = e3
| ~ spl66_146
| ~ spl66_177 ),
inference(forward_demodulation,[],[f1343,f1505]) ).
fof(f2989,plain,
( spl66_4
| ~ spl66_32
| ~ spl66_156 ),
inference(avatar_split_clause,[],[f2987,f1386,f787,f653]) ).
fof(f2987,plain,
( e1 = e2
| ~ spl66_32
| ~ spl66_156 ),
inference(forward_demodulation,[],[f789,f1387]) ).
fof(f2971,plain,
( spl66_3
| ~ spl66_12
| ~ spl66_155 ),
inference(avatar_split_clause,[],[f2942,f1381,f691,f648]) ).
fof(f2942,plain,
( e0 = e3
| ~ spl66_12
| ~ spl66_155 ),
inference(superposition,[],[f1382,f693]) ).
fof(f2962,plain,
( spl66_156
| spl66_1
| spl66_4
| spl66_5
| ~ spl66_155
| ~ spl66_158
| ~ spl66_183 ),
inference(avatar_split_clause,[],[f2931,f1603,f1394,f1381,f658,f653,f638,f1386]) ).
fof(f2931,plain,
( e1 = e3
| e1 = e2
| e0 = e1
| e1 = op(e2,e2)
| ~ spl66_155
| ~ spl66_158
| ~ spl66_183 ),
inference(forward_demodulation,[],[f2777,f1395]) ).
fof(f2777,plain,
( e1 = e2
| e0 = e1
| e1 = op(e2,e2)
| e1 = op(e1,e2)
| ~ spl66_155
| ~ spl66_183 ),
inference(forward_demodulation,[],[f2776,f1605]) ).
fof(f2776,plain,
( e0 = e1
| e1 = op(e2,e2)
| e1 = op(e1,e2)
| e1 = op(e0,e2)
| ~ spl66_155 ),
inference(forward_demodulation,[],[f536,f1382]) ).
fof(f2923,plain,
( spl66_1
| ~ spl66_150
| ~ spl66_159 ),
inference(avatar_split_clause,[],[f2922,f1399,f1360,f638]) ).
fof(f2922,plain,
( e0 = e1
| ~ spl66_150
| ~ spl66_159 ),
inference(forward_demodulation,[],[f1400,f1361]) ).
fof(f2908,plain,
( spl66_155
| spl66_3
| spl66_2
| ~ spl66_32
| ~ spl66_158
| ~ spl66_183 ),
inference(avatar_split_clause,[],[f2841,f1603,f1394,f787,f643,f648,f1381]) ).
fof(f2841,plain,
( e0 = e2
| e0 = e3
| e0 = op(e3,e2)
| ~ spl66_32
| ~ spl66_158
| ~ spl66_183 ),
inference(duplicate_literal_removal,[],[f2840]) ).
fof(f2840,plain,
( e0 = e2
| e0 = e3
| e0 = e2
| e0 = op(e3,e2)
| ~ spl66_32
| ~ spl66_158
| ~ spl66_183 ),
inference(forward_demodulation,[],[f2839,f1605]) ).
fof(f2839,plain,
( e0 = e3
| e0 = e2
| e0 = op(e3,e2)
| e0 = op(e0,e2)
| ~ spl66_32
| ~ spl66_158 ),
inference(forward_demodulation,[],[f1951,f1395]) ).
fof(f2876,plain,
( ~ spl66_145
| ~ spl66_167
| ~ spl66_185 ),
inference(avatar_split_clause,[],[f2811,f1770,f1433,f1338]) ).
fof(f2811,plain,
( e2 != op(e3,e0)
| ~ spl66_167
| ~ spl66_185 ),
inference(trivial_inequality_removal,[],[f2810]) ).
fof(f2810,plain,
( e3 != e3
| e2 != op(e3,e0)
| ~ spl66_167
| ~ spl66_185 ),
inference(forward_demodulation,[],[f2809,f1772]) ).
fof(f2809,plain,
( e2 != op(e3,e0)
| op(e0,e0) != e3
| ~ spl66_167 ),
inference(trivial_inequality_removal,[],[f2808]) ).
fof(f2808,plain,
( e1 != e1
| e2 != op(e3,e0)
| op(e0,e0) != e3
| ~ spl66_167 ),
inference(forward_demodulation,[],[f626,f1434]) ).
fof(f626,plain,
( e2 != op(e3,e0)
| e1 != op(e2,e3)
| op(e0,e0) != e3 ),
inference(inner_rewriting,[],[f625]) ).
fof(f625,plain,
( e2 != op(op(e0,e0),e0)
| e1 != op(e2,op(e0,e0))
| op(e0,e0) != e3 ),
inference(inner_rewriting,[],[f583]) ).
fof(f583,plain,
( e2 != op(op(e0,e0),e0)
| e1 != op(op(op(e0,e0),e0),op(e0,e0))
| op(e0,e0) != e3 ),
inference(cnf_transformation,[],[f48]) ).
fof(f48,plain,
( e2 != op(op(e0,e0),e0)
| e1 != op(op(op(e0,e0),e0),op(e0,e0))
| op(e0,e0) != e3 ),
inference(ennf_transformation,[],[f24]) ).
fof(f24,axiom,
~ ( e2 = op(op(e0,e0),e0)
& e1 = op(op(op(e0,e0),e0),op(e0,e0))
& op(e0,e0) = e3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax24) ).
fof(f2836,plain,
( spl66_2
| ~ spl66_72
| ~ spl66_183 ),
inference(avatar_split_clause,[],[f2832,f1603,f979,f643]) ).
fof(f2832,plain,
( e0 = e2
| ~ spl66_72
| ~ spl66_183 ),
inference(superposition,[],[f981,f1605]) ).
fof(f2804,plain,
( spl66_2
| ~ spl66_37
| ~ spl66_155
| ~ spl66_172
| ~ spl66_175 ),
inference(avatar_split_clause,[],[f2781,f1487,f1455,f1381,f811,f643]) ).
fof(f2781,plain,
( e0 = e2
| ~ spl66_37
| ~ spl66_155
| ~ spl66_172
| ~ spl66_175 ),
inference(forward_demodulation,[],[f2415,f1489]) ).
fof(f2415,plain,
( e2 = op(e2,e0)
| ~ spl66_37
| ~ spl66_155
| ~ spl66_172 ),
inference(forward_demodulation,[],[f813,f1699]) ).
fof(f2774,plain,
( spl66_179
| spl66_3
| spl66_1
| ~ spl66_52
| ~ spl66_62
| ~ spl66_162 ),
inference(avatar_split_clause,[],[f2729,f1412,f931,f883,f638,f648,f1535]) ).
fof(f2729,plain,
( e0 = e1
| e0 = e3
| e0 = op(e1,e3)
| ~ spl66_52
| ~ spl66_62
| ~ spl66_162 ),
inference(duplicate_literal_removal,[],[f2728]) ).
fof(f2728,plain,
( e0 = e1
| e0 = e3
| e0 = e1
| e0 = op(e1,e3)
| ~ spl66_52
| ~ spl66_62
| ~ spl66_162 ),
inference(forward_demodulation,[],[f2727,f933]) ).
fof(f2727,plain,
( e0 = e3
| e0 = e1
| e0 = op(e1,e3)
| e0 = op(e1,e0)
| ~ spl66_52
| ~ spl66_162 ),
inference(forward_demodulation,[],[f2241,f1413]) ).
fof(f2241,plain,
( e0 = e1
| e0 = op(e1,e3)
| e0 = op(e1,e1)
| e0 = op(e1,e0)
| ~ spl66_52 ),
inference(forward_demodulation,[],[f525,f885]) ).
fof(f2766,plain,
( spl66_6
| spl66_5
| spl66_3
| ~ spl66_37
| ~ spl66_147
| ~ spl66_167
| ~ spl66_175 ),
inference(avatar_split_clause,[],[f2754,f1487,f1433,f1347,f811,f648,f658,f663]) ).
fof(f2754,plain,
( e0 = e3
| e1 = e3
| e2 = e3
| ~ spl66_37
| ~ spl66_147
| ~ spl66_167
| ~ spl66_175 ),
inference(duplicate_literal_removal,[],[f2753]) ).
fof(f2753,plain,
( e0 = e3
| e1 = e3
| e2 = e3
| e0 = e3
| ~ spl66_37
| ~ spl66_147
| ~ spl66_167
| ~ spl66_175 ),
inference(forward_demodulation,[],[f2722,f1489]) ).
fof(f2722,plain,
( e1 = e3
| e2 = e3
| e0 = e3
| e3 = op(e2,e0)
| ~ spl66_37
| ~ spl66_147
| ~ spl66_167 ),
inference(forward_demodulation,[],[f2501,f1434]) ).
fof(f2749,plain,
( spl66_5
| spl66_3
| spl66_6
| ~ spl66_67
| ~ spl66_159
| ~ spl66_161
| ~ spl66_167 ),
inference(avatar_split_clause,[],[f2721,f1433,f1407,f1399,f955,f663,f648,f658]) ).
fof(f2721,plain,
( e2 = e3
| e0 = e3
| e1 = e3
| ~ spl66_67
| ~ spl66_159
| ~ spl66_161
| ~ spl66_167 ),
inference(forward_demodulation,[],[f2607,f1408]) ).
fof(f2607,plain,
( e0 = e3
| e1 = e3
| e3 = op(e1,e3)
| ~ spl66_67
| ~ spl66_159
| ~ spl66_167 ),
inference(forward_demodulation,[],[f2567,f957]) ).
fof(f2567,plain,
( e1 = e3
| e3 = op(e1,e3)
| e3 = op(e0,e3)
| ~ spl66_159
| ~ spl66_167 ),
inference(duplicate_literal_removal,[],[f2486]) ).
fof(f2486,plain,
( e1 = e3
| e1 = e3
| e3 = op(e1,e3)
| e3 = op(e0,e3)
| ~ spl66_159
| ~ spl66_167 ),
inference(forward_demodulation,[],[f2485,f1434]) ).
fof(f2726,plain,
( spl66_3
| ~ spl66_144
| ~ spl66_162 ),
inference(avatar_split_clause,[],[f2724,f1412,f1334,f648]) ).
fof(f2724,plain,
( e0 = e3
| ~ spl66_144
| ~ spl66_162 ),
inference(forward_demodulation,[],[f1413,f1335]) ).
fof(f2720,plain,
( spl66_2
| ~ spl66_42
| ~ spl66_175 ),
inference(avatar_split_clause,[],[f2699,f1487,f835,f643]) ).
fof(f2699,plain,
( e0 = e2
| ~ spl66_42
| ~ spl66_175 ),
inference(forward_demodulation,[],[f837,f1489]) ).
fof(f2700,plain,
( spl66_2
| ~ spl66_144
| ~ spl66_188 ),
inference(avatar_split_clause,[],[f2648,f1796,f1334,f643]) ).
fof(f2648,plain,
( e0 = e2
| ~ spl66_144
| ~ spl66_188 ),
inference(superposition,[],[f1335,f1798]) ).
fof(f2670,plain,
( spl66_5
| ~ spl66_62
| ~ spl66_187 ),
inference(avatar_split_clause,[],[f2643,f1790,f931,f658]) ).
fof(f2643,plain,
( e1 = e3
| ~ spl66_62
| ~ spl66_187 ),
inference(superposition,[],[f933,f1792]) ).
fof(f2667,plain,
( spl66_179
| spl66_47
| spl66_161
| spl66_180 ),
inference(avatar_split_clause,[],[f556,f1564,f1407,f859,f1535]) ).
fof(f556,plain,
( e3 = op(e1,e3)
| e2 = op(e1,e3)
| e1 = op(e1,e3)
| e0 = op(e1,e3) ),
inference(cnf_transformation,[],[f1]) ).
fof(f1,axiom,
( ( e3 = op(e3,e3)
| e2 = op(e3,e3)
| e1 = op(e3,e3)
| e0 = op(e3,e3) )
& ( e3 = op(e3,e2)
| e2 = op(e3,e2)
| e1 = op(e3,e2)
| e0 = op(e3,e2) )
& ( e3 = op(e3,e1)
| e2 = op(e3,e1)
| e1 = op(e3,e1)
| e0 = op(e3,e1) )
& ( e3 = op(e3,e0)
| e2 = op(e3,e0)
| e1 = op(e3,e0)
| e0 = op(e3,e0) )
& ( e3 = op(e2,e3)
| e2 = op(e2,e3)
| e1 = op(e2,e3)
| e0 = op(e2,e3) )
& ( e3 = op(e2,e2)
| e2 = op(e2,e2)
| e1 = op(e2,e2)
| e0 = op(e2,e2) )
& ( e3 = op(e2,e1)
| e2 = op(e2,e1)
| e1 = op(e2,e1)
| e0 = op(e2,e1) )
& ( e3 = op(e2,e0)
| e2 = op(e2,e0)
| e1 = op(e2,e0)
| e0 = op(e2,e0) )
& ( e3 = op(e1,e3)
| e2 = op(e1,e3)
| e1 = op(e1,e3)
| e0 = op(e1,e3) )
& ( e3 = op(e1,e2)
| e2 = op(e1,e2)
| e1 = op(e1,e2)
| e0 = op(e1,e2) )
& ( e3 = op(e1,e1)
| e2 = op(e1,e1)
| e1 = op(e1,e1)
| e0 = op(e1,e1) )
& ( e3 = op(e1,e0)
| e2 = op(e1,e0)
| e1 = op(e1,e0)
| e0 = op(e1,e0) )
& ( e3 = op(e0,e3)
| e2 = op(e0,e3)
| e1 = op(e0,e3)
| e0 = op(e0,e3) )
& ( e3 = op(e0,e2)
| e2 = op(e0,e2)
| e1 = op(e0,e2)
| e0 = op(e0,e2) )
& ( e3 = op(e0,e1)
| e2 = op(e0,e1)
| e1 = op(e0,e1)
| e0 = op(e0,e1) )
& ( op(e0,e0) = e3
| op(e0,e0) = e2
| op(e0,e0) = e1
| e0 = op(e0,e0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax1) ).
fof(f2641,plain,
( spl66_6
| ~ spl66_22
| ~ spl66_145 ),
inference(avatar_split_clause,[],[f2051,f1338,f739,f663]) ).
fof(f2051,plain,
( e2 = e3
| ~ spl66_22
| ~ spl66_145 ),
inference(superposition,[],[f1339,f741]) ).
fof(f2636,plain,
( spl66_1
| ~ spl66_42
| ~ spl66_52
| ~ spl66_144
| ~ spl66_151 ),
inference(avatar_split_clause,[],[f2630,f1364,f1334,f883,f835,f638]) ).
fof(f2630,plain,
( e0 = e1
| ~ spl66_42
| ~ spl66_52
| ~ spl66_144
| ~ spl66_151 ),
inference(forward_demodulation,[],[f2000,f1335]) ).
fof(f2000,plain,
( e1 = op(e1,e1)
| ~ spl66_42
| ~ spl66_52
| ~ spl66_151 ),
inference(forward_demodulation,[],[f885,f1827]) ).
fof(f1827,plain,
( e1 = e2
| ~ spl66_42
| ~ spl66_151 ),
inference(superposition,[],[f1365,f837]) ).
fof(f2625,plain,
( spl66_3
| ~ spl66_67
| ~ spl66_186 ),
inference(avatar_split_clause,[],[f2621,f1774,f955,f648]) ).
fof(f2621,plain,
( e0 = e3
| ~ spl66_67
| ~ spl66_186 ),
inference(forward_demodulation,[],[f1776,f957]) ).
fof(f2596,plain,
( spl66_1
| ~ spl66_67
| ~ spl66_152
| ~ spl66_167 ),
inference(avatar_split_clause,[],[f2594,f1433,f1368,f955,f638]) ).
fof(f2594,plain,
( e0 = e1
| ~ spl66_67
| ~ spl66_152
| ~ spl66_167 ),
inference(forward_demodulation,[],[f2593,f957]) ).
fof(f2593,plain,
( e1 = op(e0,e3)
| ~ spl66_67
| ~ spl66_152
| ~ spl66_167 ),
inference(forward_demodulation,[],[f1434,f2538]) ).
fof(f2564,plain,
( spl66_3
| ~ spl66_67
| ~ spl66_152
| ~ spl66_181 ),
inference(avatar_split_clause,[],[f2563,f1568,f1368,f955,f648]) ).
fof(f2563,plain,
( e0 = e3
| ~ spl66_67
| ~ spl66_152
| ~ spl66_181 ),
inference(forward_demodulation,[],[f2562,f2538]) ).
fof(f2562,plain,
( e2 = e3
| ~ spl66_67
| ~ spl66_152
| ~ spl66_181 ),
inference(forward_demodulation,[],[f2561,f1369]) ).
fof(f2561,plain,
( e3 = op(e0,e3)
| ~ spl66_67
| ~ spl66_152
| ~ spl66_181 ),
inference(forward_demodulation,[],[f1570,f2538]) ).
fof(f2553,plain,
( spl66_5
| spl66_3
| spl66_6
| ~ spl66_152
| ~ spl66_159
| ~ spl66_167
| ~ spl66_179 ),
inference(avatar_split_clause,[],[f2489,f1535,f1433,f1399,f1368,f663,f648,f658]) ).
fof(f2489,plain,
( e2 = e3
| e0 = e3
| e1 = e3
| ~ spl66_152
| ~ spl66_159
| ~ spl66_167
| ~ spl66_179 ),
inference(forward_demodulation,[],[f2488,f1369]) ).
fof(f2488,plain,
( e0 = e3
| e1 = e3
| e3 = op(e0,e3)
| ~ spl66_159
| ~ spl66_167
| ~ spl66_179 ),
inference(forward_demodulation,[],[f2487,f1537]) ).
fof(f2487,plain,
( e1 = e3
| e3 = op(e1,e3)
| e3 = op(e0,e3)
| ~ spl66_159
| ~ spl66_167 ),
inference(duplicate_literal_removal,[],[f2486]) ).
fof(f2521,plain,
( spl66_5
| spl66_3
| spl66_6
| ~ spl66_27
| ~ spl66_152
| ~ spl66_159
| ~ spl66_179 ),
inference(avatar_split_clause,[],[f2507,f1535,f1399,f1368,f763,f663,f648,f658]) ).
fof(f2507,plain,
( e2 = e3
| e0 = e3
| e1 = e3
| ~ spl66_27
| ~ spl66_152
| ~ spl66_159
| ~ spl66_179 ),
inference(duplicate_literal_removal,[],[f2506]) ).
fof(f2506,plain,
( e2 = e3
| e0 = e3
| e1 = e3
| e2 = e3
| ~ spl66_27
| ~ spl66_152
| ~ spl66_159
| ~ spl66_179 ),
inference(forward_demodulation,[],[f2505,f1369]) ).
fof(f2505,plain,
( e0 = e3
| e1 = e3
| e2 = e3
| e3 = op(e0,e3)
| ~ spl66_27
| ~ spl66_159
| ~ spl66_179 ),
inference(forward_demodulation,[],[f2504,f1537]) ).
fof(f2497,plain,
( spl66_1
| ~ spl66_47
| ~ spl66_179 ),
inference(avatar_split_clause,[],[f2495,f1535,f859,f638]) ).
fof(f2495,plain,
( e0 = e1
| ~ spl66_47
| ~ spl66_179 ),
inference(forward_demodulation,[],[f861,f1537]) ).
fof(f2482,plain,
( spl66_5
| ~ spl66_8
| ~ spl66_159 ),
inference(avatar_split_clause,[],[f2460,f1399,f672,f658]) ).
fof(f2460,plain,
( e1 = e3
| ~ spl66_8
| ~ spl66_159 ),
inference(superposition,[],[f1400,f674]) ).
fof(f2421,plain,
( spl66_2
| ~ spl66_37
| ~ spl66_151
| ~ spl66_155
| ~ spl66_172 ),
inference(avatar_split_clause,[],[f2417,f1455,f1381,f1364,f811,f643]) ).
fof(f2417,plain,
( e0 = e2
| ~ spl66_37
| ~ spl66_151
| ~ spl66_155
| ~ spl66_172 ),
inference(forward_demodulation,[],[f2416,f1699]) ).
fof(f2416,plain,
( e1 = e2
| ~ spl66_37
| ~ spl66_151
| ~ spl66_155
| ~ spl66_172 ),
inference(forward_demodulation,[],[f2415,f1365]) ).
fof(f2391,plain,
( spl66_1
| ~ spl66_77
| ~ spl66_177 ),
inference(avatar_split_clause,[],[f2366,f1503,f1003,f638]) ).
fof(f2366,plain,
( e0 = e1
| ~ spl66_77
| ~ spl66_177 ),
inference(superposition,[],[f1005,f1505]) ).
fof(f2377,plain,
( spl66_6
| ~ spl66_149
| ~ spl66_183 ),
inference(avatar_split_clause,[],[f2307,f1603,f1355,f663]) ).
fof(f2307,plain,
( e2 = e3
| ~ spl66_149
| ~ spl66_183 ),
inference(superposition,[],[f1356,f1605]) ).
fof(f2372,plain,
( spl66_163
| spl66_167
| spl66_27
| spl66_181 ),
inference(avatar_split_clause,[],[f560,f1568,f763,f1433,f1416]) ).
fof(f560,plain,
( e3 = op(e2,e3)
| e2 = op(e2,e3)
| e1 = op(e2,e3)
| e0 = op(e2,e3) ),
inference(cnf_transformation,[],[f1]) ).
fof(f2371,plain,
( spl66_67
| spl66_154
| spl66_152
| spl66_186 ),
inference(avatar_split_clause,[],[f552,f1774,f1368,f1377,f955]) ).
fof(f552,plain,
( e3 = op(e0,e3)
| e2 = op(e0,e3)
| e1 = op(e0,e3)
| e0 = op(e0,e3) ),
inference(cnf_transformation,[],[f1]) ).
fof(f2369,plain,
( spl66_152
| spl66_27
| spl66_165
| spl66_2
| ~ spl66_179 ),
inference(avatar_split_clause,[],[f2352,f1535,f643,f1425,f763,f1368]) ).
fof(f2352,plain,
( e0 = e2
| e2 = op(e3,e3)
| e2 = op(e2,e3)
| e2 = op(e0,e3)
| ~ spl66_179 ),
inference(forward_demodulation,[],[f546,f1537]) ).
fof(f2351,plain,
( spl66_6
| ~ spl66_37
| ~ spl66_169 ),
inference(avatar_split_clause,[],[f2254,f1442,f811,f663]) ).
fof(f2254,plain,
( e2 = e3
| ~ spl66_37
| ~ spl66_169 ),
inference(superposition,[],[f1443,f813]) ).
fof(f2312,plain,
( spl66_4
| spl66_1
| spl66_178
| ~ spl66_27
| ~ spl66_37
| ~ spl66_147
| ~ spl66_169
| ~ spl66_179 ),
inference(avatar_split_clause,[],[f2283,f1535,f1442,f1347,f811,f763,f1507,f638,f653]) ).
fof(f2283,plain,
( e1 = op(e0,e2)
| e0 = e1
| e1 = e2
| ~ spl66_27
| ~ spl66_37
| ~ spl66_147
| ~ spl66_169
| ~ spl66_179 ),
inference(forward_demodulation,[],[f2282,f2254]) ).
fof(f2282,plain,
( e0 = e1
| e1 = e2
| e1 = op(e0,e3)
| ~ spl66_27
| ~ spl66_37
| ~ spl66_147
| ~ spl66_169
| ~ spl66_179 ),
inference(duplicate_literal_removal,[],[f2281]) ).
fof(f2281,plain,
( e0 = e1
| e0 = e1
| e1 = e2
| e1 = op(e0,e3)
| ~ spl66_27
| ~ spl66_37
| ~ spl66_147
| ~ spl66_169
| ~ spl66_179 ),
inference(forward_demodulation,[],[f2280,f1537]) ).
fof(f2280,plain,
( e0 = e1
| e1 = e2
| e1 = op(e1,e3)
| e1 = op(e0,e3)
| ~ spl66_27
| ~ spl66_37
| ~ spl66_147
| ~ spl66_169 ),
inference(forward_demodulation,[],[f2279,f1348]) ).
fof(f2279,plain,
( e1 = op(e2,e2)
| e1 = e2
| e1 = op(e1,e3)
| e1 = op(e0,e3)
| ~ spl66_27
| ~ spl66_37
| ~ spl66_169 ),
inference(forward_demodulation,[],[f2168,f2254]) ).
fof(f2287,plain,
( spl66_1
| ~ spl66_82
| ~ spl66_168 ),
inference(avatar_split_clause,[],[f2286,f1438,f1027,f638]) ).
fof(f2286,plain,
( e0 = e1
| ~ spl66_82
| ~ spl66_168 ),
inference(forward_demodulation,[],[f1439,f1029]) ).
fof(f2273,plain,
( spl66_57
| ~ spl66_177
| ~ spl66_182
| ~ spl66_188 ),
inference(avatar_split_clause,[],[f2271,f1796,f1599,f1503,f907]) ).
fof(f2271,plain,
( e1 = op(e1,e1)
| ~ spl66_177
| ~ spl66_182
| ~ spl66_188 ),
inference(forward_demodulation,[],[f1798,f2227]) ).
fof(f2261,plain,
( spl66_144
| spl66_179
| spl66_1
| spl66_3
| ~ spl66_52
| ~ spl66_187 ),
inference(avatar_split_clause,[],[f2242,f1790,f883,f648,f638,f1535,f1334]) ).
fof(f2242,plain,
( e0 = e3
| e0 = e1
| e0 = op(e1,e3)
| e0 = op(e1,e1)
| ~ spl66_52
| ~ spl66_187 ),
inference(forward_demodulation,[],[f2241,f1792]) ).
fof(f2250,plain,
( spl66_4
| ~ spl66_27
| ~ spl66_167 ),
inference(avatar_split_clause,[],[f2216,f1433,f763,f653]) ).
fof(f2216,plain,
( e1 = e2
| ~ spl66_27
| ~ spl66_167 ),
inference(superposition,[],[f1434,f765]) ).
fof(f2247,plain,
( spl66_3
| ~ spl66_17
| ~ spl66_157 ),
inference(avatar_split_clause,[],[f2246,f1390,f715,f648]) ).
fof(f2246,plain,
( e0 = e3
| ~ spl66_17
| ~ spl66_157 ),
inference(forward_demodulation,[],[f717,f1391]) ).
fof(f2239,plain,
( spl66_1
| ~ spl66_52
| ~ spl66_166 ),
inference(avatar_split_clause,[],[f1934,f1429,f883,f638]) ).
fof(f1934,plain,
( e0 = e1
| ~ spl66_52
| ~ spl66_166 ),
inference(forward_demodulation,[],[f885,f1430]) ).
fof(f2236,plain,
( spl66_166
| spl66_179
| spl66_1
| spl66_3
| ~ spl66_57
| ~ spl66_187 ),
inference(avatar_split_clause,[],[f2173,f1790,f907,f648,f638,f1535,f1429]) ).
fof(f2173,plain,
( e0 = e3
| e0 = e1
| e0 = op(e1,e3)
| e0 = op(e1,e2)
| ~ spl66_57
| ~ spl66_187 ),
inference(forward_demodulation,[],[f2172,f1792]) ).
fof(f2189,plain,
( spl66_5
| ~ spl66_149
| ~ spl66_178 ),
inference(avatar_split_clause,[],[f2180,f1507,f1355,f658]) ).
fof(f2180,plain,
( e1 = e3
| ~ spl66_149
| ~ spl66_178 ),
inference(forward_demodulation,[],[f1356,f1509]) ).
fof(f2181,plain,
( spl66_5
| ~ spl66_151
| ~ spl66_173 ),
inference(avatar_split_clause,[],[f2094,f1459,f1364,f658]) ).
fof(f2094,plain,
( e1 = e3
| ~ spl66_151
| ~ spl66_173 ),
inference(forward_demodulation,[],[f1460,f1365]) ).
fof(f2165,plain,
( spl66_3
| ~ spl66_174
| ~ spl66_187 ),
inference(avatar_split_clause,[],[f2163,f1790,f1483,f648]) ).
fof(f2163,plain,
( e0 = e3
| ~ spl66_174
| ~ spl66_187 ),
inference(forward_demodulation,[],[f1792,f1485]) ).
fof(f2149,plain,
( spl66_6
| ~ spl66_158
| ~ spl66_189 ),
inference(avatar_split_clause,[],[f2139,f1800,f1394,f663]) ).
fof(f2139,plain,
( e2 = e3
| ~ spl66_158
| ~ spl66_189 ),
inference(superposition,[],[f1395,f1802]) ).
fof(f2141,plain,
( spl66_167
| spl66_1
| spl66_5
| ~ spl66_147
| ~ spl66_169
| ~ spl66_173 ),
inference(avatar_split_clause,[],[f2101,f1459,f1442,f1347,f658,f638,f1433]) ).
fof(f2101,plain,
( e1 = e3
| e0 = e1
| e1 = op(e2,e3)
| ~ spl66_147
| ~ spl66_169
| ~ spl66_173 ),
inference(duplicate_literal_removal,[],[f2100]) ).
fof(f2100,plain,
( e1 = e3
| e1 = e3
| e0 = e1
| e1 = op(e2,e3)
| ~ spl66_147
| ~ spl66_169
| ~ spl66_173 ),
inference(forward_demodulation,[],[f2099,f1460]) ).
fof(f2099,plain,
( e1 = e3
| e0 = e1
| e1 = op(e2,e3)
| e1 = op(e2,e0)
| ~ spl66_147
| ~ spl66_169 ),
inference(forward_demodulation,[],[f2098,f1443]) ).
fof(f2095,plain,
( spl66_5
| ~ spl66_52
| ~ spl66_158 ),
inference(avatar_split_clause,[],[f2070,f1394,f883,f658]) ).
fof(f2070,plain,
( e1 = e3
| ~ spl66_52
| ~ spl66_158 ),
inference(superposition,[],[f1395,f885]) ).
fof(f2082,plain,
( spl66_37
| ~ spl66_22
| ~ spl66_145
| ~ spl66_169 ),
inference(avatar_split_clause,[],[f2081,f1442,f1338,f739,f811]) ).
fof(f2081,plain,
( e2 = op(e2,e1)
| ~ spl66_22
| ~ spl66_145
| ~ spl66_169 ),
inference(forward_demodulation,[],[f1443,f2051]) ).
fof(f2080,plain,
( spl66_146
| spl66_162
| spl66_169
| spl66_17 ),
inference(avatar_split_clause,[],[f532,f715,f1442,f1412,f1342]) ).
fof(f532,plain,
( e3 = op(e3,e1)
| e3 = op(e2,e1)
| e3 = op(e1,e1)
| e3 = op(e0,e1) ),
inference(cnf_transformation,[],[f2]) ).
fof(f2040,plain,
( spl66_5
| ~ spl66_42
| ~ spl66_57
| ~ spl66_151
| ~ spl66_158 ),
inference(avatar_split_clause,[],[f2023,f1394,f1364,f907,f835,f658]) ).
fof(f2023,plain,
( e1 = e3
| ~ spl66_42
| ~ spl66_57
| ~ spl66_151
| ~ spl66_158 ),
inference(forward_demodulation,[],[f2022,f909]) ).
fof(f2022,plain,
( e3 = op(e1,e1)
| ~ spl66_42
| ~ spl66_151
| ~ spl66_158 ),
inference(forward_demodulation,[],[f1395,f1827]) ).
fof(f2019,plain,
( spl66_6
| ~ spl66_8
| ~ spl66_165 ),
inference(avatar_split_clause,[],[f1755,f1425,f672,f663]) ).
fof(f1755,plain,
( e2 = e3
| ~ spl66_8
| ~ spl66_165 ),
inference(superposition,[],[f1426,f674]) ).
fof(f1971,plain,
( spl66_4
| ~ spl66_8
| ~ spl66_42
| ~ spl66_148
| ~ spl66_165 ),
inference(avatar_split_clause,[],[f1970,f1425,f1351,f835,f672,f653]) ).
fof(f1970,plain,
( e1 = e2
| ~ spl66_8
| ~ spl66_42
| ~ spl66_148
| ~ spl66_165 ),
inference(forward_demodulation,[],[f837,f1967]) ).
fof(f1967,plain,
( e1 = op(e2,e0)
| ~ spl66_8
| ~ spl66_148
| ~ spl66_165 ),
inference(forward_demodulation,[],[f1352,f1755]) ).
fof(f1949,plain,
( spl66_2
| ~ spl66_32
| ~ spl66_147 ),
inference(avatar_split_clause,[],[f1947,f1347,f787,f643]) ).
fof(f1947,plain,
( e0 = e2
| ~ spl66_32
| ~ spl66_147 ),
inference(forward_demodulation,[],[f789,f1348]) ).
fof(f1945,plain,
( spl66_5
| ~ spl66_12
| ~ spl66_172 ),
inference(avatar_split_clause,[],[f1944,f1455,f691,f658]) ).
fof(f1944,plain,
( e1 = e3
| ~ spl66_12
| ~ spl66_172 ),
inference(forward_demodulation,[],[f693,f1456]) ).
fof(f1939,plain,
( spl66_4
| ~ spl66_52
| ~ spl66_189 ),
inference(avatar_split_clause,[],[f1937,f1800,f883,f653]) ).
fof(f1937,plain,
( e1 = e2
| ~ spl66_52
| ~ spl66_189 ),
inference(forward_demodulation,[],[f1802,f885]) ).
fof(f1935,plain,
( spl66_2
| ~ spl66_166
| ~ spl66_189 ),
inference(avatar_split_clause,[],[f1920,f1800,f1429,f643]) ).
fof(f1920,plain,
( e0 = e2
| ~ spl66_166
| ~ spl66_189 ),
inference(forward_demodulation,[],[f1802,f1430]) ).
fof(f1923,plain,
( spl66_3
| ~ spl66_72
| ~ spl66_149 ),
inference(avatar_split_clause,[],[f1914,f1355,f979,f648]) ).
fof(f1914,plain,
( e0 = e3
| ~ spl66_72
| ~ spl66_149 ),
inference(forward_demodulation,[],[f1356,f981]) ).
fof(f1915,plain,
( spl66_3
| ~ spl66_158
| ~ spl66_166 ),
inference(avatar_split_clause,[],[f1909,f1429,f1394,f648]) ).
fof(f1909,plain,
( e0 = e3
| ~ spl66_158
| ~ spl66_166 ),
inference(forward_demodulation,[],[f1395,f1430]) ).
fof(f1907,plain,
( spl66_2
| ~ spl66_82
| ~ spl66_145
| ~ spl66_185 ),
inference(avatar_split_clause,[],[f1906,f1770,f1338,f1027,f643]) ).
fof(f1906,plain,
( e0 = e2
| ~ spl66_82
| ~ spl66_145
| ~ spl66_185 ),
inference(forward_demodulation,[],[f1905,f1029]) ).
fof(f1905,plain,
( op(e0,e0) = e2
| ~ spl66_82
| ~ spl66_145
| ~ spl66_185 ),
inference(forward_demodulation,[],[f1339,f1838]) ).
fof(f1903,plain,
( spl66_145
| spl66_165
| spl66_4
| spl66_2
| ~ spl66_157
| ~ spl66_172 ),
inference(avatar_split_clause,[],[f1731,f1455,f1390,f643,f653,f1425,f1338]) ).
fof(f1731,plain,
( e0 = e2
| e1 = e2
| e2 = op(e3,e3)
| e2 = op(e3,e0)
| ~ spl66_157
| ~ spl66_172 ),
inference(forward_demodulation,[],[f1730,f1391]) ).
fof(f1896,plain,
( spl66_166
| ~ spl66_82
| ~ spl66_158
| ~ spl66_185 ),
inference(avatar_split_clause,[],[f1887,f1770,f1394,f1027,f1429]) ).
fof(f1887,plain,
( e0 = op(e1,e2)
| ~ spl66_82
| ~ spl66_158
| ~ spl66_185 ),
inference(forward_demodulation,[],[f1395,f1838]) ).
fof(f1881,plain,
( spl66_5
| ~ spl66_57
| ~ spl66_162 ),
inference(avatar_split_clause,[],[f1873,f1412,f907,f658]) ).
fof(f1873,plain,
( e1 = e3
| ~ spl66_57
| ~ spl66_162 ),
inference(forward_demodulation,[],[f1413,f909]) ).
fof(f1875,plain,
( spl66_5
| ~ spl66_154
| ~ spl66_186 ),
inference(avatar_split_clause,[],[f1866,f1774,f1377,f658]) ).
fof(f1866,plain,
( e1 = e3
| ~ spl66_154
| ~ spl66_186 ),
inference(forward_demodulation,[],[f1776,f1378]) ).
fof(f1868,plain,
( spl66_6
| ~ spl66_170
| ~ spl66_187 ),
inference(avatar_split_clause,[],[f1843,f1790,f1446,f663]) ).
fof(f1843,plain,
( e2 = e3
| ~ spl66_170
| ~ spl66_187 ),
inference(forward_demodulation,[],[f1792,f1447]) ).
fof(f1863,plain,
( spl66_6
| ~ spl66_146
| ~ spl66_182 ),
inference(avatar_split_clause,[],[f1848,f1599,f1342,f663]) ).
fof(f1848,plain,
( e2 = e3
| ~ spl66_146
| ~ spl66_182 ),
inference(forward_demodulation,[],[f1343,f1601]) ).
fof(f1850,plain,
( spl66_5
| ~ spl66_42
| ~ spl66_151
| ~ spl66_170
| ~ spl66_187 ),
inference(avatar_split_clause,[],[f1846,f1790,f1446,f1364,f835,f658]) ).
fof(f1846,plain,
( e1 = e3
| ~ spl66_42
| ~ spl66_151
| ~ spl66_170
| ~ spl66_187 ),
inference(forward_demodulation,[],[f1843,f1827]) ).
fof(f1845,plain,
( spl66_2
| ~ spl66_82
| ~ spl66_170
| ~ spl66_185
| ~ spl66_187 ),
inference(avatar_split_clause,[],[f1844,f1790,f1770,f1446,f1027,f643]) ).
fof(f1844,plain,
( e0 = e2
| ~ spl66_82
| ~ spl66_170
| ~ spl66_185
| ~ spl66_187 ),
inference(forward_demodulation,[],[f1843,f1838]) ).
fof(f1842,plain,
( spl66_187
| spl66_162
| spl66_158
| spl66_180 ),
inference(avatar_split_clause,[],[f531,f1564,f1394,f1412,f1790]) ).
fof(f531,plain,
( e3 = op(e1,e3)
| e3 = op(e1,e2)
| e3 = op(e1,e1)
| e3 = op(e1,e0) ),
inference(cnf_transformation,[],[f2]) ).
fof(f1815,plain,
( spl66_2
| ~ spl66_170
| ~ spl66_174 ),
inference(avatar_split_clause,[],[f1814,f1483,f1446,f643]) ).
fof(f1814,plain,
( e0 = e2
| ~ spl66_170
| ~ spl66_174 ),
inference(forward_demodulation,[],[f1447,f1485]) ).
fof(f1811,plain,
( spl66_4
| ~ spl66_57
| ~ spl66_188 ),
inference(avatar_split_clause,[],[f1809,f1796,f907,f653]) ).
fof(f1809,plain,
( e1 = e2
| ~ spl66_57
| ~ spl66_188 ),
inference(forward_demodulation,[],[f1798,f909]) ).
fof(f1808,plain,
( spl66_2
| ~ spl66_161
| ~ spl66_179 ),
inference(avatar_split_clause,[],[f1807,f1535,f1407,f643]) ).
fof(f1807,plain,
( e0 = e2
| ~ spl66_161
| ~ spl66_179 ),
inference(forward_demodulation,[],[f1408,f1537]) ).
fof(f1803,plain,
( spl66_170
| spl66_188
| spl66_189
| spl66_161 ),
inference(avatar_split_clause,[],[f529,f1407,f1800,f1796,f1446]) ).
fof(f529,plain,
( e2 = op(e1,e3)
| e2 = op(e1,e2)
| e2 = op(e1,e1)
| e2 = op(e1,e0) ),
inference(cnf_transformation,[],[f2]) ).
fof(f1793,plain,
( spl66_185
| spl66_187
| spl66_173
| spl66_22 ),
inference(avatar_split_clause,[],[f524,f739,f1459,f1790,f1770]) ).
fof(f524,plain,
( e3 = op(e3,e0)
| e3 = op(e2,e0)
| e3 = op(e1,e0)
| op(e0,e0) = e3 ),
inference(cnf_transformation,[],[f2]) ).
fof(f1786,plain,
( spl66_171
| ~ spl66_8
| ~ spl66_165
| ~ spl66_185 ),
inference(avatar_split_clause,[],[f1779,f1770,f1425,f672,f1451]) ).
fof(f1779,plain,
( op(e0,e0) = e2
| ~ spl66_8
| ~ spl66_165
| ~ spl66_185 ),
inference(forward_demodulation,[],[f1772,f1755]) ).
fof(f1781,plain,
( spl66_2
| ~ spl66_8
| ~ spl66_82
| ~ spl66_165
| ~ spl66_185 ),
inference(avatar_split_clause,[],[f1780,f1770,f1425,f1027,f672,f643]) ).
fof(f1780,plain,
( e0 = e2
| ~ spl66_8
| ~ spl66_82
| ~ spl66_165
| ~ spl66_185 ),
inference(forward_demodulation,[],[f1779,f1029]) ).
fof(f1777,plain,
( spl66_185
| spl66_146
| spl66_149
| spl66_186 ),
inference(avatar_split_clause,[],[f523,f1774,f1355,f1342,f1770]) ).
fof(f523,plain,
( e3 = op(e0,e3)
| e3 = op(e0,e2)
| e3 = op(e0,e1)
| op(e0,e0) = e3 ),
inference(cnf_transformation,[],[f2]) ).
fof(f1754,plain,
( spl66_165
| spl66_2
| spl66_4
| ~ spl66_148
| ~ spl66_157
| ~ spl66_172 ),
inference(avatar_split_clause,[],[f1739,f1455,f1390,f1351,f653,f643,f1425]) ).
fof(f1739,plain,
( e1 = e2
| e0 = e2
| e2 = op(e3,e3)
| ~ spl66_148
| ~ spl66_157
| ~ spl66_172 ),
inference(duplicate_literal_removal,[],[f1738]) ).
fof(f1738,plain,
( e1 = e2
| e0 = e2
| e1 = e2
| e2 = op(e3,e3)
| ~ spl66_148
| ~ spl66_157
| ~ spl66_172 ),
inference(forward_demodulation,[],[f1731,f1352]) ).
fof(f1737,plain,
( spl66_2
| ~ spl66_82
| ~ spl66_171 ),
inference(avatar_split_clause,[],[f1733,f1451,f1027,f643]) ).
fof(f1733,plain,
( e0 = e2
| ~ spl66_82
| ~ spl66_171 ),
inference(forward_demodulation,[],[f1452,f1029]) ).
fof(f1729,plain,
( spl66_160
| spl66_147
| spl66_163
| spl66_1
| ~ spl66_151 ),
inference(avatar_split_clause,[],[f1717,f1364,f638,f1416,f1347,f1403]) ).
fof(f1717,plain,
( e0 = e1
| e0 = op(e2,e3)
| e0 = op(e2,e2)
| e0 = op(e2,e1)
| ~ spl66_151 ),
inference(forward_demodulation,[],[f533,f1365]) ).
fof(f1716,plain,
( spl66_175
| ~ spl66_155
| ~ spl66_160
| ~ spl66_172 ),
inference(avatar_split_clause,[],[f1714,f1455,f1403,f1381,f1487]) ).
fof(f1714,plain,
( e0 = op(e2,e0)
| ~ spl66_155
| ~ spl66_160
| ~ spl66_172 ),
inference(forward_demodulation,[],[f1404,f1699]) ).
fof(f1712,plain,
( spl66_176
| ~ spl66_155
| ~ spl66_157
| ~ spl66_172 ),
inference(avatar_split_clause,[],[f1711,f1455,f1390,f1381,f1491]) ).
fof(f1711,plain,
( e0 = op(e3,e0)
| ~ spl66_155
| ~ spl66_157
| ~ spl66_172 ),
inference(forward_demodulation,[],[f1391,f1699]) ).
fof(f1700,plain,
( spl66_1
| ~ spl66_57
| ~ spl66_144 ),
inference(avatar_split_clause,[],[f1653,f1334,f907,f638]) ).
fof(f1653,plain,
( e0 = e1
| ~ spl66_57
| ~ spl66_144 ),
inference(superposition,[],[f1335,f909]) ).
fof(f1690,plain,
( spl66_157
| spl66_155
| spl66_150
| spl66_2
| ~ spl66_145 ),
inference(avatar_split_clause,[],[f1672,f1338,f643,f1360,f1381,f1390]) ).
fof(f1672,plain,
( e0 = e2
| e0 = op(e3,e3)
| e0 = op(e3,e2)
| e0 = op(e3,e1)
| ~ spl66_145 ),
inference(forward_demodulation,[],[f541,f1339]) ).
fof(f1677,plain,
( spl66_5
| ~ spl66_17
| ~ spl66_184 ),
inference(avatar_split_clause,[],[f1676,f1666,f715,f658]) ).
fof(f1676,plain,
( e1 = e3
| ~ spl66_17
| ~ spl66_184 ),
inference(forward_demodulation,[],[f717,f1668]) ).
fof(f1671,plain,
( spl66_176
| ~ spl66_57
| ~ spl66_144
| ~ spl66_184 ),
inference(avatar_split_clause,[],[f1670,f1666,f1334,f907,f1491]) ).
fof(f1670,plain,
( e0 = op(e3,e0)
| ~ spl66_57
| ~ spl66_144
| ~ spl66_184 ),
inference(forward_demodulation,[],[f1668,f1653]) ).
fof(f1669,plain,
( spl66_184
| spl66_172
| spl66_159
| spl66_4
| ~ spl66_145 ),
inference(avatar_split_clause,[],[f1652,f1338,f653,f1399,f1455,f1666]) ).
fof(f1652,plain,
( e1 = e2
| e1 = op(e3,e3)
| e1 = op(e3,e2)
| e1 = op(e3,e1)
| ~ spl66_145 ),
inference(forward_demodulation,[],[f543,f1339]) ).
fof(f1651,plain,
( spl66_4
| ~ spl66_145
| ~ spl66_148 ),
inference(avatar_split_clause,[],[f1642,f1351,f1338,f653]) ).
fof(f1642,plain,
( e1 = e2
| ~ spl66_145
| ~ spl66_148 ),
inference(superposition,[],[f1352,f1339]) ).
fof(f1650,plain,
( spl66_144
| spl66_160
| spl66_157
| spl66_2
| ~ spl66_182 ),
inference(avatar_split_clause,[],[f1619,f1599,f643,f1390,f1403,f1334]) ).
fof(f1619,plain,
( e0 = e2
| e0 = op(e3,e1)
| e0 = op(e2,e1)
| e0 = op(e1,e1)
| ~ spl66_182 ),
inference(forward_demodulation,[],[f526,f1601]) ).
fof(f1641,plain,
( spl66_62
| spl66_151
| spl66_148
| spl66_1
| ~ spl66_82 ),
inference(avatar_split_clause,[],[f1617,f1027,f638,f1351,f1364,f931]) ).
fof(f1617,plain,
( e0 = e1
| e1 = op(e3,e0)
| e1 = op(e2,e0)
| e1 = op(e1,e0)
| ~ spl66_82 ),
inference(forward_demodulation,[],[f520,f1029]) ).
fof(f1616,plain,
( spl66_2
| ~ spl66_77
| ~ spl66_182 ),
inference(avatar_split_clause,[],[f1608,f1599,f1003,f643]) ).
fof(f1608,plain,
( e0 = e2
| ~ spl66_77
| ~ spl66_182 ),
inference(forward_demodulation,[],[f1601,f1005]) ).
fof(f1611,plain,
( spl66_2
| ~ spl66_27
| ~ spl66_163 ),
inference(avatar_split_clause,[],[f1575,f1416,f763,f643]) ).
fof(f1575,plain,
( e0 = e2
| ~ spl66_27
| ~ spl66_163 ),
inference(superposition,[],[f1417,f765]) ).
fof(f1609,plain,
( spl66_171
| spl66_170
| spl66_42
| spl66_145 ),
inference(avatar_split_clause,[],[f522,f1338,f835,f1446,f1451]) ).
fof(f522,plain,
( e2 = op(e3,e0)
| e2 = op(e2,e0)
| e2 = op(e1,e0)
| op(e0,e0) = e2 ),
inference(cnf_transformation,[],[f2]) ).
fof(f1606,plain,
( spl66_171
| spl66_182
| spl66_183
| spl66_152 ),
inference(avatar_split_clause,[],[f521,f1368,f1603,f1599,f1451]) ).
fof(f521,plain,
( e2 = op(e0,e3)
| e2 = op(e0,e2)
| e2 = op(e0,e1)
| op(e0,e0) = e2 ),
inference(cnf_transformation,[],[f2]) ).
fof(f1583,plain,
( spl66_180
| spl66_8
| spl66_6
| spl66_5
| ~ spl66_27
| ~ spl66_154 ),
inference(avatar_split_clause,[],[f1573,f1377,f763,f658,f663,f672,f1564]) ).
fof(f1573,plain,
( e1 = e3
| e2 = e3
| e3 = op(e3,e3)
| e3 = op(e1,e3)
| ~ spl66_27
| ~ spl66_154 ),
inference(forward_demodulation,[],[f1572,f1378]) ).
fof(f1571,plain,
( spl66_180
| spl66_181
| spl66_3
| spl66_5
| ~ spl66_150
| ~ spl66_154 ),
inference(avatar_split_clause,[],[f1554,f1377,f1360,f658,f648,f1568,f1564]) ).
fof(f1554,plain,
( e1 = e3
| e0 = e3
| e3 = op(e2,e3)
| e3 = op(e1,e3)
| ~ spl66_150
| ~ spl66_154 ),
inference(forward_demodulation,[],[f1553,f1378]) ).
fof(f1550,plain,
( spl66_3
| ~ spl66_8
| ~ spl66_150 ),
inference(avatar_split_clause,[],[f1539,f1360,f672,f648]) ).
fof(f1539,plain,
( e0 = e3
| ~ spl66_8
| ~ spl66_150 ),
inference(superposition,[],[f1361,f674]) ).
fof(f1538,plain,
( spl66_179
| spl66_163
| spl66_150
| spl66_1
| ~ spl66_154 ),
inference(avatar_split_clause,[],[f1515,f1377,f638,f1360,f1416,f1535]) ).
fof(f1515,plain,
( e0 = e1
| e0 = op(e3,e3)
| e0 = op(e2,e3)
| e0 = op(e1,e3)
| ~ spl66_154 ),
inference(forward_demodulation,[],[f542,f1378]) ).
fof(f1514,plain,
( spl66_1
| ~ spl66_67
| ~ spl66_154 ),
inference(avatar_split_clause,[],[f1513,f1377,f955,f638]) ).
fof(f1513,plain,
( e0 = e1
| ~ spl66_67
| ~ spl66_154 ),
inference(forward_demodulation,[],[f1378,f957]) ).
fof(f1510,plain,
( spl66_168
| spl66_177
| spl66_178
| spl66_154 ),
inference(avatar_split_clause,[],[f519,f1377,f1507,f1503,f1438]) ).
fof(f519,plain,
( e1 = op(e0,e3)
| e1 = op(e0,e2)
| e1 = op(e0,e1)
| op(e0,e0) = e1 ),
inference(cnf_transformation,[],[f2]) ).
fof(f1499,plain,
( ~ spl66_62
| ~ spl66_57
| spl66_116 ),
inference(avatar_split_clause,[],[f1470,f1197,f907,f931]) ).
fof(f1470,plain,
( e1 != op(e1,e0)
| ~ spl66_57
| spl66_116 ),
inference(superposition,[],[f1199,f909]) ).
fof(f1494,plain,
( spl66_82
| spl66_174
| spl66_175
| spl66_176 ),
inference(avatar_split_clause,[],[f518,f1491,f1487,f1483,f1027]) ).
fof(f518,plain,
( e0 = op(e3,e0)
| e0 = op(e2,e0)
| e0 = op(e1,e0)
| e0 = op(e0,e0) ),
inference(cnf_transformation,[],[f2]) ).
fof(f1476,plain,
( spl66_67
| spl66_47
| spl66_27
| spl66_8 ),
inference(avatar_split_clause,[],[f508,f672,f763,f859,f955]) ).
fof(f508,plain,
( e3 = op(e3,e3)
| e2 = op(e2,e3)
| e1 = op(e1,e3)
| e0 = op(e0,e3) ),
inference(cnf_transformation,[],[f120]) ).
fof(f1472,plain,
( spl66_72
| spl66_52
| spl66_32
| spl66_12 ),
inference(avatar_split_clause,[],[f507,f691,f787,f883,f979]) ).
fof(f507,plain,
( e3 = op(e3,e2)
| e2 = op(e2,e2)
| e1 = op(e1,e2)
| e0 = op(e0,e2) ),
inference(cnf_transformation,[],[f120]) ).
fof(f1467,plain,
( spl66_77
| spl66_57
| spl66_37
| spl66_17 ),
inference(avatar_split_clause,[],[f506,f715,f811,f907,f1003]) ).
fof(f506,plain,
( e3 = op(e3,e1)
| e2 = op(e2,e1)
| e1 = op(e1,e1)
| e0 = op(e0,e1) ),
inference(cnf_transformation,[],[f120]) ).
fof(f1463,plain,
( spl66_82
| spl66_62
| spl66_42
| spl66_22 ),
inference(avatar_split_clause,[],[f505,f739,f835,f931,f1027]) ).
fof(f505,plain,
( e3 = op(e3,e0)
| e2 = op(e2,e0)
| e1 = op(e1,e0)
| e0 = op(e0,e0) ),
inference(cnf_transformation,[],[f120]) ).
fof(f1462,plain,
( ~ spl66_171
| ~ spl66_172
| ~ spl66_173 ),
inference(avatar_split_clause,[],[f636,f1459,f1455,f1451]) ).
fof(f636,plain,
( e3 != op(e2,e0)
| e1 != op(e3,e2)
| op(e0,e0) != e2 ),
inference(inner_rewriting,[],[f635]) ).
fof(f635,plain,
( e3 != op(op(e0,e0),e0)
| e1 != op(e3,op(e0,e0))
| op(e0,e0) != e2 ),
inference(inner_rewriting,[],[f588]) ).
fof(f588,plain,
( e3 != op(op(e0,e0),e0)
| e1 != op(op(op(e0,e0),e0),op(e0,e0))
| op(e0,e0) != e2 ),
inference(cnf_transformation,[],[f53]) ).
fof(f53,plain,
( e3 != op(op(e0,e0),e0)
| e1 != op(op(op(e0,e0),e0),op(e0,e0))
| op(e0,e0) != e2 ),
inference(ennf_transformation,[],[f18]) ).
fof(f18,axiom,
~ ( e3 = op(op(e0,e0),e0)
& e1 = op(op(op(e0,e0),e0),op(e0,e0))
& op(e0,e0) = e2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax18) ).
fof(f1449,plain,
( ~ spl66_168
| ~ spl66_169
| ~ spl66_170 ),
inference(avatar_split_clause,[],[f632,f1446,f1442,f1438]) ).
fof(f632,plain,
( e2 != op(e1,e0)
| e3 != op(e2,e1)
| op(e0,e0) != e1 ),
inference(inner_rewriting,[],[f631]) ).
fof(f631,plain,
( e2 != op(op(e0,e0),e0)
| e3 != op(e2,op(e0,e0))
| op(e0,e0) != e1 ),
inference(inner_rewriting,[],[f586]) ).
fof(f586,plain,
( e2 != op(op(e0,e0),e0)
| e3 != op(op(op(e0,e0),e0),op(e0,e0))
| op(e0,e0) != e1 ),
inference(cnf_transformation,[],[f51]) ).
fof(f51,plain,
( e2 != op(op(e0,e0),e0)
| e3 != op(op(op(e0,e0),e0),op(e0,e0))
| op(e0,e0) != e1 ),
inference(ennf_transformation,[],[f13]) ).
fof(f13,axiom,
~ ( e2 = op(op(e0,e0),e0)
& e3 = op(op(op(e0,e0),e0),op(e0,e0))
& op(e0,e0) = e1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax13) ).
fof(f1436,plain,
( ~ spl66_165
| ~ spl66_166
| ~ spl66_167 ),
inference(avatar_split_clause,[],[f622,f1433,f1429,f1425]) ).
fof(f622,plain,
( e1 != op(e2,e3)
| e0 != op(e1,e2)
| e2 != op(e3,e3) ),
inference(inner_rewriting,[],[f621]) ).
fof(f621,plain,
( e1 != op(op(e3,e3),e3)
| e0 != op(e1,op(e3,e3))
| e2 != op(e3,e3) ),
inference(inner_rewriting,[],[f581]) ).
fof(f581,plain,
( e1 != op(op(e3,e3),e3)
| e0 != op(op(op(e3,e3),e3),op(e3,e3))
| e2 != op(e3,e3) ),
inference(cnf_transformation,[],[f46]) ).
fof(f46,plain,
( e1 != op(op(e3,e3),e3)
| e0 != op(op(op(e3,e3),e3),op(e3,e3))
| e2 != op(e3,e3) ),
inference(ennf_transformation,[],[f22]) ).
fof(f22,axiom,
~ ( e1 = op(op(e3,e3),e3)
& e0 = op(op(op(e3,e3),e3),op(e3,e3))
& e2 = op(e3,e3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax22) ).
fof(f1423,plain,
( ~ spl66_162
| ~ spl66_163
| ~ spl66_164 ),
inference(avatar_split_clause,[],[f616,f1420,f1416,f1412]) ).
fof(f616,plain,
( e2 != op(e3,e1)
| e0 != op(e2,e3)
| e3 != op(e1,e1) ),
inference(inner_rewriting,[],[f615]) ).
fof(f615,plain,
( e2 != op(op(e1,e1),e1)
| e0 != op(e2,op(e1,e1))
| e3 != op(e1,e1) ),
inference(inner_rewriting,[],[f578]) ).
fof(f578,plain,
( e2 != op(op(e1,e1),e1)
| e0 != op(op(op(e1,e1),e1),op(e1,e1))
| e3 != op(e1,e1) ),
inference(cnf_transformation,[],[f43]) ).
fof(f43,plain,
( e2 != op(op(e1,e1),e1)
| e0 != op(op(op(e1,e1),e1),op(e1,e1))
| e3 != op(e1,e1) ),
inference(ennf_transformation,[],[f26]) ).
fof(f26,axiom,
~ ( e2 = op(op(e1,e1),e1)
& e0 = op(op(op(e1,e1),e1),op(e1,e1))
& e3 = op(e1,e1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax26) ).
fof(f1410,plain,
( ~ spl66_159
| ~ spl66_160
| ~ spl66_161 ),
inference(avatar_split_clause,[],[f610,f1407,f1403,f1399]) ).
fof(f610,plain,
( e2 != op(e1,e3)
| e0 != op(e2,e1)
| e1 != op(e3,e3) ),
inference(inner_rewriting,[],[f609]) ).
fof(f609,plain,
( e2 != op(op(e3,e3),e3)
| e0 != op(e2,op(e3,e3))
| e1 != op(e3,e3) ),
inference(inner_rewriting,[],[f575]) ).
fof(f575,plain,
( e2 != op(op(e3,e3),e3)
| e0 != op(op(op(e3,e3),e3),op(e3,e3))
| e1 != op(e3,e3) ),
inference(cnf_transformation,[],[f40]) ).
fof(f40,plain,
( e2 != op(op(e3,e3),e3)
| e0 != op(op(op(e3,e3),e3),op(e3,e3))
| e1 != op(e3,e3) ),
inference(ennf_transformation,[],[f16]) ).
fof(f16,axiom,
~ ( e2 = op(op(e3,e3),e3)
& e0 = op(op(op(e3,e3),e3),op(e3,e3))
& e1 = op(e3,e3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax16) ).
fof(f1397,plain,
( ~ spl66_156
| ~ spl66_157
| ~ spl66_158 ),
inference(avatar_split_clause,[],[f606,f1394,f1390,f1386]) ).
fof(f606,plain,
( e3 != op(e1,e2)
| e0 != op(e3,e1)
| e1 != op(e2,e2) ),
inference(inner_rewriting,[],[f605]) ).
fof(f605,plain,
( e3 != op(op(e2,e2),e2)
| e0 != op(e3,op(e2,e2))
| e1 != op(e2,e2) ),
inference(inner_rewriting,[],[f573]) ).
fof(f573,plain,
( e3 != op(op(e2,e2),e2)
| e0 != op(op(op(e2,e2),e2),op(e2,e2))
| e1 != op(e2,e2) ),
inference(cnf_transformation,[],[f38]) ).
fof(f38,plain,
( e3 != op(op(e2,e2),e2)
| e0 != op(op(op(e2,e2),e2),op(e2,e2))
| e1 != op(e2,e2) ),
inference(ennf_transformation,[],[f14]) ).
fof(f14,axiom,
~ ( e3 = op(op(e2,e2),e2)
& e0 = op(op(op(e2,e2),e2),op(e2,e2))
& e1 = op(e2,e2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax14) ).
fof(f1384,plain,
( ~ spl66_153
| ~ spl66_154
| ~ spl66_155 ),
inference(avatar_split_clause,[],[f602,f1381,f1377,f1373]) ).
fof(f602,plain,
( e0 != op(e3,e2)
| e1 != op(e0,e3)
| e3 != op(e2,e2) ),
inference(inner_rewriting,[],[f601]) ).
fof(f601,plain,
( e0 != op(op(e2,e2),e2)
| e1 != op(e0,op(e2,e2))
| e3 != op(e2,e2) ),
inference(inner_rewriting,[],[f571]) ).
fof(f571,plain,
( e0 != op(op(e2,e2),e2)
| e1 != op(op(op(e2,e2),e2),op(e2,e2))
| e3 != op(e2,e2) ),
inference(cnf_transformation,[],[f36]) ).
fof(f36,plain,
( e0 != op(op(e2,e2),e2)
| e1 != op(op(op(e2,e2),e2),op(e2,e2))
| e3 != op(e2,e2) ),
inference(ennf_transformation,[],[f29]) ).
fof(f29,axiom,
~ ( e0 = op(op(e2,e2),e2)
& e1 = op(op(op(e2,e2),e2),op(e2,e2))
& e3 = op(e2,e2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax29) ).
fof(f1371,plain,
( ~ spl66_150
| ~ spl66_151
| ~ spl66_152 ),
inference(avatar_split_clause,[],[f598,f1368,f1364,f1360]) ).
fof(f598,plain,
( e2 != op(e0,e3)
| e1 != op(e2,e0)
| e0 != op(e3,e3) ),
inference(inner_rewriting,[],[f597]) ).
fof(f597,plain,
( e2 != op(op(e3,e3),e3)
| e1 != op(e2,op(e3,e3))
| e0 != op(e3,e3) ),
inference(inner_rewriting,[],[f569]) ).
fof(f569,plain,
( e2 != op(op(e3,e3),e3)
| e1 != op(op(op(e3,e3),e3),op(e3,e3))
| e0 != op(e3,e3) ),
inference(cnf_transformation,[],[f34]) ).
fof(f34,plain,
( e2 != op(op(e3,e3),e3)
| e1 != op(op(op(e3,e3),e3),op(e3,e3))
| e0 != op(e3,e3) ),
inference(ennf_transformation,[],[f10]) ).
fof(f10,axiom,
~ ( e2 = op(op(e3,e3),e3)
& e1 = op(op(op(e3,e3),e3),op(e3,e3))
& e0 = op(e3,e3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax10) ).
fof(f1358,plain,
( ~ spl66_147
| ~ spl66_148
| ~ spl66_149 ),
inference(avatar_split_clause,[],[f594,f1355,f1351,f1347]) ).
fof(f594,plain,
( e3 != op(e0,e2)
| e1 != op(e3,e0)
| e0 != op(e2,e2) ),
inference(inner_rewriting,[],[f593]) ).
fof(f593,plain,
( e3 != op(op(e2,e2),e2)
| e1 != op(e3,op(e2,e2))
| e0 != op(e2,e2) ),
inference(inner_rewriting,[],[f567]) ).
fof(f567,plain,
( e3 != op(op(e2,e2),e2)
| e1 != op(op(op(e2,e2),e2),op(e2,e2))
| e0 != op(e2,e2) ),
inference(cnf_transformation,[],[f32]) ).
fof(f32,plain,
( e3 != op(op(e2,e2),e2)
| e1 != op(op(op(e2,e2),e2),op(e2,e2))
| e0 != op(e2,e2) ),
inference(ennf_transformation,[],[f8]) ).
fof(f8,axiom,
~ ( e3 = op(op(e2,e2),e2)
& e1 = op(op(op(e2,e2),e2),op(e2,e2))
& e0 = op(e2,e2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax8) ).
fof(f1345,plain,
( ~ spl66_144
| ~ spl66_145
| ~ spl66_146 ),
inference(avatar_split_clause,[],[f590,f1342,f1338,f1334]) ).
fof(f590,plain,
( e3 != op(e0,e1)
| e2 != op(e3,e0)
| e0 != op(e1,e1) ),
inference(inner_rewriting,[],[f589]) ).
fof(f589,plain,
( e3 != op(op(e1,e1),e1)
| e2 != op(e3,op(e1,e1))
| e0 != op(e1,e1) ),
inference(inner_rewriting,[],[f565]) ).
fof(f565,plain,
( e3 != op(op(e1,e1),e1)
| e2 != op(op(op(e1,e1),e1),op(e1,e1))
| e0 != op(e1,e1) ),
inference(cnf_transformation,[],[f30]) ).
fof(f30,plain,
( e3 != op(op(e1,e1),e1)
| e2 != op(op(op(e1,e1),e1),op(e1,e1))
| e0 != op(e1,e1) ),
inference(ennf_transformation,[],[f6]) ).
fof(f6,axiom,
~ ( e3 = op(op(e1,e1),e1)
& e2 = op(op(op(e1,e1),e1),op(e1,e1))
& e0 = op(e1,e1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax6) ).
fof(f1332,plain,
( spl66_138
| spl66_136
| spl66_134
| ~ spl66_143 ),
inference(avatar_split_clause,[],[f512,f1329,f1287,f1296,f1305]) ).
fof(f512,plain,
( e3 != op(e3,op(e3,e3))
| sP2
| sP1
| sP0 ),
inference(cnf_transformation,[],[f120]) ).
fof(f1327,plain,
( spl66_138
| spl66_136
| spl66_134
| ~ spl66_142 ),
inference(avatar_split_clause,[],[f511,f1324,f1287,f1296,f1305]) ).
fof(f511,plain,
( e2 != op(e3,op(e3,e2))
| sP2
| sP1
| sP0 ),
inference(cnf_transformation,[],[f120]) ).
fof(f1322,plain,
( spl66_138
| spl66_136
| spl66_134
| ~ spl66_141 ),
inference(avatar_split_clause,[],[f510,f1319,f1287,f1296,f1305]) ).
fof(f510,plain,
( e1 != op(e3,op(e3,e1))
| sP2
| sP1
| sP0 ),
inference(cnf_transformation,[],[f120]) ).
fof(f1317,plain,
( spl66_138
| spl66_136
| spl66_134
| ~ spl66_140 ),
inference(avatar_split_clause,[],[f509,f1314,f1287,f1296,f1305]) ).
fof(f509,plain,
( e0 != op(e3,op(e3,e0))
| sP2
| sP1
| sP0 ),
inference(cnf_transformation,[],[f120]) ).
fof(f1312,plain,
( ~ spl66_138
| ~ spl66_139 ),
inference(avatar_split_clause,[],[f501,f1309,f1305]) ).
fof(f501,plain,
( e0 != op(e0,op(e0,e0))
| ~ sP0 ),
inference(cnf_transformation,[],[f186]) ).
fof(f1303,plain,
( ~ spl66_136
| ~ spl66_137 ),
inference(avatar_split_clause,[],[f497,f1300,f1296]) ).
fof(f497,plain,
( e0 != op(e1,op(e1,e0))
| ~ sP1 ),
inference(cnf_transformation,[],[f185]) ).
fof(f1294,plain,
( ~ spl66_134
| ~ spl66_135 ),
inference(avatar_split_clause,[],[f493,f1291,f1287]) ).
fof(f493,plain,
( e0 != op(e2,op(e2,e0))
| ~ sP2 ),
inference(cnf_transformation,[],[f184]) ).
fof(f1285,plain,
~ spl66_133,
inference(avatar_split_clause,[],[f240,f1282]) ).
fof(f240,plain,
op(e3,e2) != op(e3,e3),
inference(cnf_transformation,[],[f3]) ).
fof(f3,axiom,
( op(e3,e2) != op(e3,e3)
& op(e3,e1) != op(e3,e3)
& op(e3,e1) != op(e3,e2)
& op(e3,e0) != op(e3,e3)
& op(e3,e0) != op(e3,e2)
& op(e3,e0) != op(e3,e1)
& op(e2,e2) != op(e2,e3)
& op(e2,e1) != op(e2,e3)
& op(e2,e1) != op(e2,e2)
& op(e2,e0) != op(e2,e3)
& op(e2,e0) != op(e2,e2)
& op(e2,e0) != op(e2,e1)
& op(e1,e2) != op(e1,e3)
& op(e1,e1) != op(e1,e3)
& op(e1,e1) != op(e1,e2)
& op(e1,e0) != op(e1,e3)
& op(e1,e0) != op(e1,e2)
& op(e1,e0) != op(e1,e1)
& op(e0,e2) != op(e0,e3)
& op(e0,e1) != op(e0,e3)
& op(e0,e1) != op(e0,e2)
& op(e0,e0) != op(e0,e3)
& op(e0,e0) != op(e0,e2)
& op(e0,e0) != op(e0,e1)
& op(e2,e3) != op(e3,e3)
& op(e1,e3) != op(e3,e3)
& op(e1,e3) != op(e2,e3)
& op(e0,e3) != op(e3,e3)
& op(e0,e3) != op(e2,e3)
& op(e0,e3) != op(e1,e3)
& op(e2,e2) != op(e3,e2)
& op(e1,e2) != op(e3,e2)
& op(e1,e2) != op(e2,e2)
& op(e0,e2) != op(e3,e2)
& op(e0,e2) != op(e2,e2)
& op(e0,e2) != op(e1,e2)
& op(e2,e1) != op(e3,e1)
& op(e1,e1) != op(e3,e1)
& op(e1,e1) != op(e2,e1)
& op(e0,e1) != op(e3,e1)
& op(e0,e1) != op(e2,e1)
& op(e0,e1) != op(e1,e1)
& op(e2,e0) != op(e3,e0)
& op(e1,e0) != op(e3,e0)
& op(e1,e0) != op(e2,e0)
& op(e0,e0) != op(e3,e0)
& op(e0,e0) != op(e2,e0)
& op(e0,e0) != op(e1,e0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax3) ).
fof(f1280,plain,
~ spl66_132,
inference(avatar_split_clause,[],[f239,f1277]) ).
fof(f239,plain,
op(e3,e1) != op(e3,e3),
inference(cnf_transformation,[],[f3]) ).
fof(f1275,plain,
~ spl66_131,
inference(avatar_split_clause,[],[f238,f1272]) ).
fof(f1272,plain,
( spl66_131
<=> op(e3,e1) = op(e3,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl66_131])]) ).
fof(f238,plain,
op(e3,e1) != op(e3,e2),
inference(cnf_transformation,[],[f3]) ).
fof(f1270,plain,
~ spl66_130,
inference(avatar_split_clause,[],[f237,f1267]) ).
fof(f237,plain,
op(e3,e0) != op(e3,e3),
inference(cnf_transformation,[],[f3]) ).
fof(f1265,plain,
~ spl66_129,
inference(avatar_split_clause,[],[f236,f1262]) ).
fof(f236,plain,
op(e3,e0) != op(e3,e2),
inference(cnf_transformation,[],[f3]) ).
fof(f1260,plain,
~ spl66_128,
inference(avatar_split_clause,[],[f235,f1257]) ).
fof(f235,plain,
op(e3,e0) != op(e3,e1),
inference(cnf_transformation,[],[f3]) ).
fof(f1255,plain,
~ spl66_127,
inference(avatar_split_clause,[],[f234,f1252]) ).
fof(f234,plain,
op(e2,e2) != op(e2,e3),
inference(cnf_transformation,[],[f3]) ).
fof(f1250,plain,
~ spl66_126,
inference(avatar_split_clause,[],[f233,f1247]) ).
fof(f233,plain,
op(e2,e1) != op(e2,e3),
inference(cnf_transformation,[],[f3]) ).
fof(f1245,plain,
~ spl66_125,
inference(avatar_split_clause,[],[f232,f1242]) ).
fof(f232,plain,
op(e2,e1) != op(e2,e2),
inference(cnf_transformation,[],[f3]) ).
fof(f1240,plain,
~ spl66_124,
inference(avatar_split_clause,[],[f231,f1237]) ).
fof(f1237,plain,
( spl66_124
<=> op(e2,e0) = op(e2,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl66_124])]) ).
fof(f231,plain,
op(e2,e0) != op(e2,e3),
inference(cnf_transformation,[],[f3]) ).
fof(f1235,plain,
~ spl66_123,
inference(avatar_split_clause,[],[f230,f1232]) ).
fof(f230,plain,
op(e2,e0) != op(e2,e2),
inference(cnf_transformation,[],[f3]) ).
fof(f1230,plain,
~ spl66_122,
inference(avatar_split_clause,[],[f229,f1227]) ).
fof(f1227,plain,
( spl66_122
<=> op(e2,e0) = op(e2,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl66_122])]) ).
fof(f229,plain,
op(e2,e0) != op(e2,e1),
inference(cnf_transformation,[],[f3]) ).
fof(f1225,plain,
~ spl66_121,
inference(avatar_split_clause,[],[f228,f1222]) ).
fof(f1222,plain,
( spl66_121
<=> op(e1,e2) = op(e1,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl66_121])]) ).
fof(f228,plain,
op(e1,e2) != op(e1,e3),
inference(cnf_transformation,[],[f3]) ).
fof(f1220,plain,
~ spl66_120,
inference(avatar_split_clause,[],[f227,f1217]) ).
fof(f1217,plain,
( spl66_120
<=> op(e1,e1) = op(e1,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl66_120])]) ).
fof(f227,plain,
op(e1,e1) != op(e1,e3),
inference(cnf_transformation,[],[f3]) ).
fof(f1215,plain,
~ spl66_119,
inference(avatar_split_clause,[],[f226,f1212]) ).
fof(f226,plain,
op(e1,e1) != op(e1,e2),
inference(cnf_transformation,[],[f3]) ).
fof(f1210,plain,
~ spl66_118,
inference(avatar_split_clause,[],[f225,f1207]) ).
fof(f1207,plain,
( spl66_118
<=> op(e1,e0) = op(e1,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl66_118])]) ).
fof(f225,plain,
op(e1,e0) != op(e1,e3),
inference(cnf_transformation,[],[f3]) ).
fof(f1205,plain,
~ spl66_117,
inference(avatar_split_clause,[],[f224,f1202]) ).
fof(f224,plain,
op(e1,e0) != op(e1,e2),
inference(cnf_transformation,[],[f3]) ).
fof(f1200,plain,
~ spl66_116,
inference(avatar_split_clause,[],[f223,f1197]) ).
fof(f223,plain,
op(e1,e0) != op(e1,e1),
inference(cnf_transformation,[],[f3]) ).
fof(f1195,plain,
~ spl66_115,
inference(avatar_split_clause,[],[f222,f1192]) ).
fof(f222,plain,
op(e0,e2) != op(e0,e3),
inference(cnf_transformation,[],[f3]) ).
fof(f1190,plain,
~ spl66_114,
inference(avatar_split_clause,[],[f221,f1187]) ).
fof(f1187,plain,
( spl66_114
<=> op(e0,e1) = op(e0,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl66_114])]) ).
fof(f221,plain,
op(e0,e1) != op(e0,e3),
inference(cnf_transformation,[],[f3]) ).
fof(f1185,plain,
~ spl66_113,
inference(avatar_split_clause,[],[f220,f1182]) ).
fof(f220,plain,
op(e0,e1) != op(e0,e2),
inference(cnf_transformation,[],[f3]) ).
fof(f1180,plain,
~ spl66_112,
inference(avatar_split_clause,[],[f219,f1177]) ).
fof(f1177,plain,
( spl66_112
<=> op(e0,e0) = op(e0,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl66_112])]) ).
fof(f219,plain,
op(e0,e0) != op(e0,e3),
inference(cnf_transformation,[],[f3]) ).
fof(f1175,plain,
~ spl66_111,
inference(avatar_split_clause,[],[f218,f1172]) ).
fof(f1172,plain,
( spl66_111
<=> op(e0,e0) = op(e0,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl66_111])]) ).
fof(f218,plain,
op(e0,e0) != op(e0,e2),
inference(cnf_transformation,[],[f3]) ).
fof(f1170,plain,
~ spl66_110,
inference(avatar_split_clause,[],[f217,f1167]) ).
fof(f1167,plain,
( spl66_110
<=> op(e0,e0) = op(e0,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl66_110])]) ).
fof(f217,plain,
op(e0,e0) != op(e0,e1),
inference(cnf_transformation,[],[f3]) ).
fof(f1165,plain,
~ spl66_109,
inference(avatar_split_clause,[],[f216,f1162]) ).
fof(f216,plain,
op(e2,e3) != op(e3,e3),
inference(cnf_transformation,[],[f3]) ).
fof(f1160,plain,
~ spl66_108,
inference(avatar_split_clause,[],[f215,f1157]) ).
fof(f1157,plain,
( spl66_108
<=> op(e1,e3) = op(e3,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl66_108])]) ).
fof(f215,plain,
op(e1,e3) != op(e3,e3),
inference(cnf_transformation,[],[f3]) ).
fof(f1155,plain,
~ spl66_107,
inference(avatar_split_clause,[],[f214,f1152]) ).
fof(f214,plain,
op(e1,e3) != op(e2,e3),
inference(cnf_transformation,[],[f3]) ).
fof(f1150,plain,
~ spl66_106,
inference(avatar_split_clause,[],[f213,f1147]) ).
fof(f213,plain,
op(e0,e3) != op(e3,e3),
inference(cnf_transformation,[],[f3]) ).
fof(f1145,plain,
~ spl66_105,
inference(avatar_split_clause,[],[f212,f1142]) ).
fof(f212,plain,
op(e0,e3) != op(e2,e3),
inference(cnf_transformation,[],[f3]) ).
fof(f1140,plain,
~ spl66_104,
inference(avatar_split_clause,[],[f211,f1137]) ).
fof(f211,plain,
op(e0,e3) != op(e1,e3),
inference(cnf_transformation,[],[f3]) ).
fof(f1135,plain,
~ spl66_103,
inference(avatar_split_clause,[],[f210,f1132]) ).
fof(f1132,plain,
( spl66_103
<=> op(e2,e2) = op(e3,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl66_103])]) ).
fof(f210,plain,
op(e2,e2) != op(e3,e2),
inference(cnf_transformation,[],[f3]) ).
fof(f1130,plain,
~ spl66_102,
inference(avatar_split_clause,[],[f209,f1127]) ).
fof(f209,plain,
op(e1,e2) != op(e3,e2),
inference(cnf_transformation,[],[f3]) ).
fof(f1125,plain,
~ spl66_101,
inference(avatar_split_clause,[],[f208,f1122]) ).
fof(f208,plain,
op(e1,e2) != op(e2,e2),
inference(cnf_transformation,[],[f3]) ).
fof(f1120,plain,
~ spl66_100,
inference(avatar_split_clause,[],[f207,f1117]) ).
fof(f207,plain,
op(e0,e2) != op(e3,e2),
inference(cnf_transformation,[],[f3]) ).
fof(f1115,plain,
~ spl66_99,
inference(avatar_split_clause,[],[f206,f1112]) ).
fof(f206,plain,
op(e0,e2) != op(e2,e2),
inference(cnf_transformation,[],[f3]) ).
fof(f1110,plain,
~ spl66_98,
inference(avatar_split_clause,[],[f205,f1107]) ).
fof(f205,plain,
op(e0,e2) != op(e1,e2),
inference(cnf_transformation,[],[f3]) ).
fof(f1105,plain,
~ spl66_97,
inference(avatar_split_clause,[],[f204,f1102]) ).
fof(f1102,plain,
( spl66_97
<=> op(e2,e1) = op(e3,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl66_97])]) ).
fof(f204,plain,
op(e2,e1) != op(e3,e1),
inference(cnf_transformation,[],[f3]) ).
fof(f1100,plain,
~ spl66_96,
inference(avatar_split_clause,[],[f203,f1097]) ).
fof(f1097,plain,
( spl66_96
<=> op(e1,e1) = op(e3,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl66_96])]) ).
fof(f203,plain,
op(e1,e1) != op(e3,e1),
inference(cnf_transformation,[],[f3]) ).
fof(f1095,plain,
~ spl66_95,
inference(avatar_split_clause,[],[f202,f1092]) ).
fof(f202,plain,
op(e1,e1) != op(e2,e1),
inference(cnf_transformation,[],[f3]) ).
fof(f1090,plain,
~ spl66_94,
inference(avatar_split_clause,[],[f201,f1087]) ).
fof(f1087,plain,
( spl66_94
<=> op(e0,e1) = op(e3,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl66_94])]) ).
fof(f201,plain,
op(e0,e1) != op(e3,e1),
inference(cnf_transformation,[],[f3]) ).
fof(f1085,plain,
~ spl66_93,
inference(avatar_split_clause,[],[f200,f1082]) ).
fof(f200,plain,
op(e0,e1) != op(e2,e1),
inference(cnf_transformation,[],[f3]) ).
fof(f1080,plain,
~ spl66_92,
inference(avatar_split_clause,[],[f199,f1077]) ).
fof(f199,plain,
op(e0,e1) != op(e1,e1),
inference(cnf_transformation,[],[f3]) ).
fof(f1075,plain,
~ spl66_91,
inference(avatar_split_clause,[],[f198,f1072]) ).
fof(f198,plain,
op(e2,e0) != op(e3,e0),
inference(cnf_transformation,[],[f3]) ).
fof(f1070,plain,
~ spl66_90,
inference(avatar_split_clause,[],[f197,f1067]) ).
fof(f1067,plain,
( spl66_90
<=> op(e1,e0) = op(e3,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl66_90])]) ).
fof(f197,plain,
op(e1,e0) != op(e3,e0),
inference(cnf_transformation,[],[f3]) ).
fof(f1065,plain,
~ spl66_89,
inference(avatar_split_clause,[],[f196,f1062]) ).
fof(f196,plain,
op(e1,e0) != op(e2,e0),
inference(cnf_transformation,[],[f3]) ).
fof(f1060,plain,
~ spl66_88,
inference(avatar_split_clause,[],[f195,f1057]) ).
fof(f195,plain,
op(e0,e0) != op(e3,e0),
inference(cnf_transformation,[],[f3]) ).
fof(f1055,plain,
~ spl66_87,
inference(avatar_split_clause,[],[f194,f1052]) ).
fof(f194,plain,
op(e0,e0) != op(e2,e0),
inference(cnf_transformation,[],[f3]) ).
fof(f1050,plain,
~ spl66_86,
inference(avatar_split_clause,[],[f193,f1047]) ).
fof(f1047,plain,
( spl66_86
<=> op(e0,e0) = op(e1,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl66_86])]) ).
fof(f193,plain,
op(e0,e0) != op(e1,e0),
inference(cnf_transformation,[],[f3]) ).
fof(f1045,plain,
( ~ spl66_85
| spl66_82 ),
inference(avatar_split_clause,[],[f492,f1027,f1042]) ).
fof(f492,plain,
( e0 = op(e0,e0)
| ~ sP3 ),
inference(cnf_transformation,[],[f183]) ).
fof(f183,plain,
( ( e0 = op(e0,e0)
& e0 = op(e0,e0)
& e0 = op(e0,e0)
& e0 = op(e0,e0) )
| ~ sP3 ),
inference(nnf_transformation,[],[f57]) ).
fof(f1040,plain,
( ~ spl66_84
| spl66_82 ),
inference(avatar_split_clause,[],[f486,f1027,f1037]) ).
fof(f486,plain,
( e0 = op(e0,e0)
| ~ sP4 ),
inference(cnf_transformation,[],[f182]) ).
fof(f1035,plain,
( ~ spl66_83
| spl66_82 ),
inference(avatar_split_clause,[],[f482,f1027,f1032]) ).
fof(f482,plain,
( e0 = op(e0,e0)
| ~ sP5 ),
inference(cnf_transformation,[],[f181]) ).
fof(f1030,plain,
( ~ spl66_81
| spl66_82 ),
inference(avatar_split_clause,[],[f478,f1027,f1023]) ).
fof(f478,plain,
( e0 = op(e0,e0)
| ~ sP6 ),
inference(cnf_transformation,[],[f180]) ).
fof(f1021,plain,
( ~ spl66_80
| spl66_77 ),
inference(avatar_split_clause,[],[f473,f1003,f1018]) ).
fof(f473,plain,
( e0 = op(e0,e1)
| ~ sP7 ),
inference(cnf_transformation,[],[f179]) ).
fof(f1016,plain,
( ~ spl66_79
| spl66_77 ),
inference(avatar_split_clause,[],[f469,f1003,f1013]) ).
fof(f469,plain,
( e0 = op(e0,e1)
| ~ sP8 ),
inference(cnf_transformation,[],[f178]) ).
fof(f1011,plain,
( ~ spl66_78
| spl66_77 ),
inference(avatar_split_clause,[],[f465,f1003,f1008]) ).
fof(f465,plain,
( e0 = op(e0,e1)
| ~ sP9 ),
inference(cnf_transformation,[],[f177]) ).
fof(f1006,plain,
( ~ spl66_76
| spl66_77 ),
inference(avatar_split_clause,[],[f461,f1003,f999]) ).
fof(f461,plain,
( e0 = op(e0,e1)
| ~ sP10 ),
inference(cnf_transformation,[],[f176]) ).
fof(f997,plain,
( ~ spl66_75
| spl66_72 ),
inference(avatar_split_clause,[],[f457,f979,f994]) ).
fof(f457,plain,
( e0 = op(e0,e2)
| ~ sP11 ),
inference(cnf_transformation,[],[f175]) ).
fof(f992,plain,
( ~ spl66_74
| spl66_72 ),
inference(avatar_split_clause,[],[f453,f979,f989]) ).
fof(f453,plain,
( e0 = op(e0,e2)
| ~ sP12 ),
inference(cnf_transformation,[],[f174]) ).
fof(f987,plain,
( ~ spl66_73
| spl66_72 ),
inference(avatar_split_clause,[],[f449,f979,f984]) ).
fof(f449,plain,
( e0 = op(e0,e2)
| ~ sP13 ),
inference(cnf_transformation,[],[f173]) ).
fof(f982,plain,
( ~ spl66_71
| spl66_72 ),
inference(avatar_split_clause,[],[f445,f979,f975]) ).
fof(f445,plain,
( e0 = op(e0,e2)
| ~ sP14 ),
inference(cnf_transformation,[],[f172]) ).
fof(f973,plain,
( ~ spl66_70
| spl66_67 ),
inference(avatar_split_clause,[],[f441,f955,f970]) ).
fof(f441,plain,
( e0 = op(e0,e3)
| ~ sP15 ),
inference(cnf_transformation,[],[f171]) ).
fof(f968,plain,
( ~ spl66_69
| spl66_67 ),
inference(avatar_split_clause,[],[f437,f955,f965]) ).
fof(f437,plain,
( e0 = op(e0,e3)
| ~ sP16 ),
inference(cnf_transformation,[],[f170]) ).
fof(f963,plain,
( ~ spl66_68
| spl66_67 ),
inference(avatar_split_clause,[],[f433,f955,f960]) ).
fof(f433,plain,
( e0 = op(e0,e3)
| ~ sP17 ),
inference(cnf_transformation,[],[f169]) ).
fof(f958,plain,
( ~ spl66_66
| spl66_67 ),
inference(avatar_split_clause,[],[f429,f955,f951]) ).
fof(f429,plain,
( e0 = op(e0,e3)
| ~ sP18 ),
inference(cnf_transformation,[],[f168]) ).
fof(f949,plain,
( ~ spl66_65
| spl66_62 ),
inference(avatar_split_clause,[],[f425,f931,f946]) ).
fof(f425,plain,
( e1 = op(e1,e0)
| ~ sP19 ),
inference(cnf_transformation,[],[f167]) ).
fof(f944,plain,
( ~ spl66_64
| spl66_62 ),
inference(avatar_split_clause,[],[f421,f931,f941]) ).
fof(f421,plain,
( e1 = op(e1,e0)
| ~ sP20 ),
inference(cnf_transformation,[],[f166]) ).
fof(f939,plain,
( ~ spl66_63
| spl66_62 ),
inference(avatar_split_clause,[],[f417,f931,f936]) ).
fof(f417,plain,
( e1 = op(e1,e0)
| ~ sP21 ),
inference(cnf_transformation,[],[f165]) ).
fof(f934,plain,
( ~ spl66_61
| spl66_62 ),
inference(avatar_split_clause,[],[f413,f931,f927]) ).
fof(f413,plain,
( e1 = op(e1,e0)
| ~ sP22 ),
inference(cnf_transformation,[],[f164]) ).
fof(f925,plain,
( ~ spl66_60
| spl66_57 ),
inference(avatar_split_clause,[],[f410,f907,f922]) ).
fof(f410,plain,
( e1 = op(e1,e1)
| ~ sP23 ),
inference(cnf_transformation,[],[f163]) ).
fof(f920,plain,
( ~ spl66_59
| spl66_57 ),
inference(avatar_split_clause,[],[f408,f907,f917]) ).
fof(f408,plain,
( e1 = op(e1,e1)
| ~ sP24 ),
inference(cnf_transformation,[],[f162]) ).
fof(f162,plain,
( ( e1 = op(e1,e1)
& e1 = op(e1,e1)
& e1 = op(e1,e1)
& e1 = op(e1,e1) )
| ~ sP24 ),
inference(nnf_transformation,[],[f78]) ).
fof(f915,plain,
( ~ spl66_58
| spl66_57 ),
inference(avatar_split_clause,[],[f402,f907,f912]) ).
fof(f402,plain,
( e1 = op(e1,e1)
| ~ sP25 ),
inference(cnf_transformation,[],[f161]) ).
fof(f910,plain,
( ~ spl66_56
| spl66_57 ),
inference(avatar_split_clause,[],[f398,f907,f903]) ).
fof(f398,plain,
( e1 = op(e1,e1)
| ~ sP26 ),
inference(cnf_transformation,[],[f160]) ).
fof(f901,plain,
( ~ spl66_55
| spl66_52 ),
inference(avatar_split_clause,[],[f393,f883,f898]) ).
fof(f393,plain,
( e1 = op(e1,e2)
| ~ sP27 ),
inference(cnf_transformation,[],[f159]) ).
fof(f896,plain,
( ~ spl66_54
| spl66_52 ),
inference(avatar_split_clause,[],[f389,f883,f893]) ).
fof(f389,plain,
( e1 = op(e1,e2)
| ~ sP28 ),
inference(cnf_transformation,[],[f158]) ).
fof(f891,plain,
( ~ spl66_53
| spl66_52 ),
inference(avatar_split_clause,[],[f385,f883,f888]) ).
fof(f385,plain,
( e1 = op(e1,e2)
| ~ sP29 ),
inference(cnf_transformation,[],[f157]) ).
fof(f886,plain,
( ~ spl66_51
| spl66_52 ),
inference(avatar_split_clause,[],[f381,f883,f879]) ).
fof(f381,plain,
( e1 = op(e1,e2)
| ~ sP30 ),
inference(cnf_transformation,[],[f156]) ).
fof(f877,plain,
( ~ spl66_50
| spl66_47 ),
inference(avatar_split_clause,[],[f377,f859,f874]) ).
fof(f377,plain,
( e1 = op(e1,e3)
| ~ sP31 ),
inference(cnf_transformation,[],[f155]) ).
fof(f872,plain,
( ~ spl66_49
| spl66_47 ),
inference(avatar_split_clause,[],[f373,f859,f869]) ).
fof(f373,plain,
( e1 = op(e1,e3)
| ~ sP32 ),
inference(cnf_transformation,[],[f154]) ).
fof(f867,plain,
( ~ spl66_48
| spl66_47 ),
inference(avatar_split_clause,[],[f369,f859,f864]) ).
fof(f369,plain,
( e1 = op(e1,e3)
| ~ sP33 ),
inference(cnf_transformation,[],[f153]) ).
fof(f862,plain,
( ~ spl66_46
| spl66_47 ),
inference(avatar_split_clause,[],[f365,f859,f855]) ).
fof(f365,plain,
( e1 = op(e1,e3)
| ~ sP34 ),
inference(cnf_transformation,[],[f152]) ).
fof(f853,plain,
( ~ spl66_45
| spl66_42 ),
inference(avatar_split_clause,[],[f361,f835,f850]) ).
fof(f361,plain,
( e2 = op(e2,e0)
| ~ sP35 ),
inference(cnf_transformation,[],[f151]) ).
fof(f848,plain,
( ~ spl66_44
| spl66_42 ),
inference(avatar_split_clause,[],[f357,f835,f845]) ).
fof(f357,plain,
( e2 = op(e2,e0)
| ~ sP36 ),
inference(cnf_transformation,[],[f150]) ).
fof(f843,plain,
( ~ spl66_43
| spl66_42 ),
inference(avatar_split_clause,[],[f353,f835,f840]) ).
fof(f353,plain,
( e2 = op(e2,e0)
| ~ sP37 ),
inference(cnf_transformation,[],[f149]) ).
fof(f838,plain,
( ~ spl66_41
| spl66_42 ),
inference(avatar_split_clause,[],[f349,f835,f831]) ).
fof(f349,plain,
( e2 = op(e2,e0)
| ~ sP38 ),
inference(cnf_transformation,[],[f148]) ).
fof(f829,plain,
( ~ spl66_40
| spl66_37 ),
inference(avatar_split_clause,[],[f345,f811,f826]) ).
fof(f345,plain,
( e2 = op(e2,e1)
| ~ sP39 ),
inference(cnf_transformation,[],[f147]) ).
fof(f824,plain,
( ~ spl66_39
| spl66_37 ),
inference(avatar_split_clause,[],[f341,f811,f821]) ).
fof(f341,plain,
( e2 = op(e2,e1)
| ~ sP40 ),
inference(cnf_transformation,[],[f146]) ).
fof(f819,plain,
( ~ spl66_38
| spl66_37 ),
inference(avatar_split_clause,[],[f337,f811,f816]) ).
fof(f337,plain,
( e2 = op(e2,e1)
| ~ sP41 ),
inference(cnf_transformation,[],[f145]) ).
fof(f814,plain,
( ~ spl66_36
| spl66_37 ),
inference(avatar_split_clause,[],[f333,f811,f807]) ).
fof(f333,plain,
( e2 = op(e2,e1)
| ~ sP42 ),
inference(cnf_transformation,[],[f144]) ).
fof(f805,plain,
( ~ spl66_35
| spl66_32 ),
inference(avatar_split_clause,[],[f330,f787,f802]) ).
fof(f330,plain,
( e2 = op(e2,e2)
| ~ sP43 ),
inference(cnf_transformation,[],[f143]) ).
fof(f800,plain,
( ~ spl66_34
| spl66_32 ),
inference(avatar_split_clause,[],[f326,f787,f797]) ).
fof(f326,plain,
( e2 = op(e2,e2)
| ~ sP44 ),
inference(cnf_transformation,[],[f142]) ).
fof(f795,plain,
( ~ spl66_33
| spl66_32 ),
inference(avatar_split_clause,[],[f324,f787,f792]) ).
fof(f324,plain,
( e2 = op(e2,e2)
| ~ sP45 ),
inference(cnf_transformation,[],[f141]) ).
fof(f141,plain,
( ( e2 = op(e2,e2)
& e2 = op(e2,e2)
& e2 = op(e2,e2)
& e2 = op(e2,e2) )
| ~ sP45 ),
inference(nnf_transformation,[],[f99]) ).
fof(f790,plain,
( ~ spl66_31
| spl66_32 ),
inference(avatar_split_clause,[],[f318,f787,f783]) ).
fof(f318,plain,
( e2 = op(e2,e2)
| ~ sP46 ),
inference(cnf_transformation,[],[f140]) ).
fof(f781,plain,
( ~ spl66_30
| spl66_27 ),
inference(avatar_split_clause,[],[f313,f763,f778]) ).
fof(f313,plain,
( e2 = op(e2,e3)
| ~ sP47 ),
inference(cnf_transformation,[],[f139]) ).
fof(f776,plain,
( ~ spl66_29
| spl66_27 ),
inference(avatar_split_clause,[],[f309,f763,f773]) ).
fof(f309,plain,
( e2 = op(e2,e3)
| ~ sP48 ),
inference(cnf_transformation,[],[f138]) ).
fof(f771,plain,
( ~ spl66_28
| spl66_27 ),
inference(avatar_split_clause,[],[f305,f763,f768]) ).
fof(f305,plain,
( e2 = op(e2,e3)
| ~ sP49 ),
inference(cnf_transformation,[],[f137]) ).
fof(f766,plain,
( ~ spl66_26
| spl66_27 ),
inference(avatar_split_clause,[],[f301,f763,f759]) ).
fof(f301,plain,
( e2 = op(e2,e3)
| ~ sP50 ),
inference(cnf_transformation,[],[f136]) ).
fof(f757,plain,
( ~ spl66_25
| spl66_22 ),
inference(avatar_split_clause,[],[f297,f739,f754]) ).
fof(f297,plain,
( e3 = op(e3,e0)
| ~ sP51 ),
inference(cnf_transformation,[],[f135]) ).
fof(f752,plain,
( ~ spl66_24
| spl66_22 ),
inference(avatar_split_clause,[],[f293,f739,f749]) ).
fof(f293,plain,
( e3 = op(e3,e0)
| ~ sP52 ),
inference(cnf_transformation,[],[f134]) ).
fof(f747,plain,
( ~ spl66_23
| spl66_22 ),
inference(avatar_split_clause,[],[f289,f739,f744]) ).
fof(f289,plain,
( e3 = op(e3,e0)
| ~ sP53 ),
inference(cnf_transformation,[],[f133]) ).
fof(f742,plain,
( ~ spl66_21
| spl66_22 ),
inference(avatar_split_clause,[],[f285,f739,f735]) ).
fof(f285,plain,
( e3 = op(e3,e0)
| ~ sP54 ),
inference(cnf_transformation,[],[f132]) ).
fof(f733,plain,
( ~ spl66_20
| spl66_17 ),
inference(avatar_split_clause,[],[f281,f715,f730]) ).
fof(f281,plain,
( e3 = op(e3,e1)
| ~ sP55 ),
inference(cnf_transformation,[],[f131]) ).
fof(f728,plain,
( ~ spl66_19
| spl66_17 ),
inference(avatar_split_clause,[],[f277,f715,f725]) ).
fof(f277,plain,
( e3 = op(e3,e1)
| ~ sP56 ),
inference(cnf_transformation,[],[f130]) ).
fof(f723,plain,
( ~ spl66_18
| spl66_17 ),
inference(avatar_split_clause,[],[f273,f715,f720]) ).
fof(f273,plain,
( e3 = op(e3,e1)
| ~ sP57 ),
inference(cnf_transformation,[],[f129]) ).
fof(f718,plain,
( ~ spl66_16
| spl66_17 ),
inference(avatar_split_clause,[],[f269,f715,f711]) ).
fof(f269,plain,
( e3 = op(e3,e1)
| ~ sP58 ),
inference(cnf_transformation,[],[f128]) ).
fof(f709,plain,
( ~ spl66_15
| spl66_12 ),
inference(avatar_split_clause,[],[f265,f691,f706]) ).
fof(f265,plain,
( e3 = op(e3,e2)
| ~ sP59 ),
inference(cnf_transformation,[],[f127]) ).
fof(f704,plain,
( ~ spl66_14
| spl66_12 ),
inference(avatar_split_clause,[],[f261,f691,f701]) ).
fof(f261,plain,
( e3 = op(e3,e2)
| ~ sP60 ),
inference(cnf_transformation,[],[f126]) ).
fof(f699,plain,
( ~ spl66_13
| spl66_12 ),
inference(avatar_split_clause,[],[f257,f691,f696]) ).
fof(f257,plain,
( e3 = op(e3,e2)
| ~ sP61 ),
inference(cnf_transformation,[],[f125]) ).
fof(f694,plain,
( ~ spl66_11
| spl66_12 ),
inference(avatar_split_clause,[],[f253,f691,f687]) ).
fof(f253,plain,
( e3 = op(e3,e2)
| ~ sP62 ),
inference(cnf_transformation,[],[f124]) ).
fof(f685,plain,
( ~ spl66_10
| spl66_8 ),
inference(avatar_split_clause,[],[f250,f672,f682]) ).
fof(f250,plain,
( e3 = op(e3,e3)
| ~ sP63 ),
inference(cnf_transformation,[],[f123]) ).
fof(f123,plain,
( ( e3 = op(e3,e0)
& e3 = op(e0,e3)
& e3 = op(e3,e3)
& e3 = op(e3,e3) )
| ~ sP63 ),
inference(nnf_transformation,[],[f117]) ).
fof(f680,plain,
( ~ spl66_9
| spl66_8 ),
inference(avatar_split_clause,[],[f246,f672,f677]) ).
fof(f246,plain,
( e3 = op(e3,e3)
| ~ sP64 ),
inference(cnf_transformation,[],[f122]) ).
fof(f122,plain,
( ( e3 = op(e3,e1)
& e3 = op(e1,e3)
& e3 = op(e3,e3)
& e3 = op(e3,e3) )
| ~ sP64 ),
inference(nnf_transformation,[],[f118]) ).
fof(f675,plain,
( ~ spl66_7
| spl66_8 ),
inference(avatar_split_clause,[],[f242,f672,f668]) ).
fof(f242,plain,
( e3 = op(e3,e3)
| ~ sP65 ),
inference(cnf_transformation,[],[f121]) ).
fof(f121,plain,
( ( e3 = op(e3,e2)
& e3 = op(e2,e3)
& e3 = op(e3,e3)
& e3 = op(e3,e3) )
| ~ sP65 ),
inference(nnf_transformation,[],[f119]) ).
fof(f666,plain,
~ spl66_6,
inference(avatar_split_clause,[],[f192,f663]) ).
fof(f192,plain,
e2 != e3,
inference(cnf_transformation,[],[f4]) ).
fof(f4,axiom,
( e2 != e3
& e1 != e3
& e1 != e2
& e0 != e3
& e0 != e2
& e0 != e1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax4) ).
fof(f661,plain,
~ spl66_5,
inference(avatar_split_clause,[],[f191,f658]) ).
fof(f191,plain,
e1 != e3,
inference(cnf_transformation,[],[f4]) ).
fof(f656,plain,
~ spl66_4,
inference(avatar_split_clause,[],[f190,f653]) ).
fof(f190,plain,
e1 != e2,
inference(cnf_transformation,[],[f4]) ).
fof(f651,plain,
~ spl66_3,
inference(avatar_split_clause,[],[f189,f648]) ).
fof(f189,plain,
e0 != e3,
inference(cnf_transformation,[],[f4]) ).
fof(f646,plain,
~ spl66_2,
inference(avatar_split_clause,[],[f188,f643]) ).
fof(f188,plain,
e0 != e2,
inference(cnf_transformation,[],[f4]) ).
fof(f641,plain,
~ spl66_1,
inference(avatar_split_clause,[],[f187,f638]) ).
fof(f187,plain,
e0 != e1,
inference(cnf_transformation,[],[f4]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.11 % Problem : ALG143+1 : TPTP v8.1.2. Released v2.7.0.
% 0.05/0.12 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.10/0.32 % Computer : n010.cluster.edu
% 0.10/0.32 % Model : x86_64 x86_64
% 0.10/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.32 % Memory : 8042.1875MB
% 0.10/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.32 % CPULimit : 300
% 0.10/0.32 % WCLimit : 300
% 0.10/0.32 % DateTime : Fri May 3 19:55:08 EDT 2024
% 0.10/0.32 % CPUTime :
% 0.10/0.32 % (31469)Running in auto input_syntax mode. Trying TPTP
% 0.10/0.35 % (31475)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)
% 0.10/0.35 % (31472)WARNING: value z3 for option sas not known
% 0.10/0.35 % (31473)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.10/0.35 % (31471)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.10/0.35 % (31470)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.10/0.35 % (31476)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)
% 0.10/0.35 % (31474)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)
% 0.10/0.35 % (31472)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on theBenchmark for (569ds/0Mi)
% 0.15/0.38 Detected minimum model sizes of [4]
% 0.15/0.38 Detected maximum model sizes of [max]
% 0.15/0.38 TRYING [4]
% 0.15/0.41 TRYING [5]
% 0.15/0.44 TRYING [6]
% 0.15/0.48 TRYING [7]
% 1.43/0.53 TRYING [8]
% 1.56/0.60 TRYING [9]
% 2.15/0.68 TRYING [10]
% 3.07/0.79 TRYING [11]
% 4.26/0.93 TRYING [12]
% 5.28/1.10 TRYING [13]
% 6.56/1.29 TRYING [14]
% 7.02/1.35 % (31474)First to succeed.
% 7.28/1.39 % (31474)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-31469"
% 7.28/1.39 % (31474)Refutation found. Thanks to Tanya!
% 7.28/1.39 % SZS status Unsatisfiable for theBenchmark
% 7.28/1.39 % SZS output start Proof for theBenchmark
% See solution above
% 7.28/1.42 % (31474)------------------------------
% 7.28/1.42 % (31474)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 7.28/1.42 % (31474)Termination reason: Refutation
% 7.28/1.42
% 7.28/1.42 % (31474)Memory used [KB]: 4761
% 7.28/1.42 % (31474)Time elapsed: 1.039 s
% 7.28/1.42 % (31474)Instructions burned: 2209 (million)
% 7.28/1.42 % (31469)Success in time 1.077 s
%------------------------------------------------------------------------------