TSTP Solution File: ALG142+1 by Vampire-SAT---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : ALG142+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 : n016.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 04:25:50 EDT 2024
% Result : Unsatisfiable 3.28s 0.79s
% Output : Refutation 3.28s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 154
% Syntax : Number of formulae : 2333 ( 109 unt; 0 def)
% Number of atoms : 11594 (5079 equ)
% Maximal formula atoms : 128 ( 4 avg)
% Number of connectives : 14610 (5349 ~;8961 |; 174 &)
% ( 126 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 49 ( 6 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 136 ( 134 usr; 135 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-2 aty)
% Number of variables : 0 ( 0 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f13284,plain,
$false,
inference(avatar_sat_refutation,[],[f257,f262,f267,f272,f277,f282,f291,f300,f309,f318,f327,f336,f345,f354,f359,f364,f369,f374,f379,f384,f389,f394,f399,f404,f409,f414,f419,f424,f429,f434,f439,f444,f449,f454,f459,f464,f469,f474,f479,f484,f489,f494,f499,f504,f509,f514,f519,f524,f529,f534,f539,f544,f549,f554,f559,f564,f569,f574,f579,f584,f589,f594,f603,f613,f622,f625,f638,f642,f650,f663,f668,f677,f680,f683,f686,f710,f719,f726,f731,f740,f747,f748,f765,f774,f776,f794,f801,f816,f820,f823,f847,f854,f860,f877,f883,f895,f926,f932,f944,f950,f977,f1002,f1005,f1039,f1061,f1063,f1134,f1159,f1204,f1210,f1212,f1233,f1295,f1314,f1315,f1327,f1332,f1349,f1359,f1366,f1371,f1389,f1396,f1401,f1416,f1420,f1424,f1428,f1438,f1459,f1463,f1485,f1493,f1496,f1500,f1513,f1535,f1539,f1552,f1567,f1576,f1590,f1610,f1647,f1674,f1706,f1715,f1807,f1847,f1869,f1917,f1919,f1930,f1948,f1974,f1996,f2010,f2022,f2028,f2030,f2043,f2052,f2067,f2080,f2082,f2084,f2088,f2098,f2119,f2157,f2187,f2197,f2221,f2264,f2334,f2339,f2380,f2397,f2412,f2422,f2437,f2439,f2460,f2467,f2474,f2483,f2497,f2507,f2509,f2517,f2544,f2556,f2569,f2597,f2610,f2611,f2634,f2649,f2665,f2738,f2862,f2878,f2887,f2977,f3060,f3093,f3097,f3103,f3139,f3259,f3285,f3309,f3371,f3375,f3379,f3381,f3448,f3476,f3485,f3517,f3521,f3523,f3530,f3536,f3547,f3552,f3577,f3598,f3605,f3615,f3633,f3641,f3645,f3650,f3653,f3660,f3665,f3672,f3681,f3686,f3695,f3701,f3707,f3708,f3716,f3735,f3738,f3761,f3763,f3766,f3773,f3778,f3796,f3801,f3810,f3824,f3843,f3848,f3849,f3869,f3878,f3886,f3899,f3902,f3911,f3917,f3920,f3969,f4019,f4029,f4039,f4048,f4051,f4063,f4074,f4113,f4133,f4158,f4165,f4168,f4180,f4204,f4205,f4207,f4212,f4220,f4248,f4281,f4307,f4331,f4342,f4355,f4415,f4468,f4473,f4501,f4529,f4548,f4559,f4578,f4662,f4740,f4784,f4866,f4891,f4894,f4900,f4910,f4930,f4947,f4948,f4982,f4984,f5010,f5014,f5029,f5037,f5039,f5048,f5055,f5063,f5095,f5116,f5121,f5129,f5130,f5136,f5155,f5157,f5160,f5172,f5179,f5217,f5280,f5303,f5304,f5307,f5313,f5317,f5318,f5321,f5336,f5344,f5354,f5426,f5462,f5528,f5568,f5572,f5578,f5615,f5625,f5627,f5638,f5688,f5701,f5706,f5726,f5742,f5753,f5758,f5771,f5798,f5812,f5831,f5847,f5853,f5858,f5867,f5884,f5888,f5900,f5914,f5920,f5930,f5976,f6028,f6041,f6050,f6125,f6160,f6163,f6175,f6183,f6200,f6218,f6234,f6239,f6247,f6340,f6392,f6420,f6426,f6431,f6471,f6480,f6511,f6518,f6535,f6553,f6576,f6606,f6626,f6663,f6672,f6680,f6682,f6692,f6710,f6715,f6783,f6959,f7119,f7321,f7444,f7548,f7578,f7596,f7610,f7614,f7622,f7634,f7656,f7663,f7668,f7673,f7680,f7711,f7713,f7724,f7761,f7766,f7772,f7787,f7791,f7799,f7803,f7814,f7817,f7827,f7854,f7860,f7880,f7888,f7915,f7923,f8026,f8051,f8126,f8188,f8212,f8285,f8329,f8392,f8393,f8435,f8461,f8533,f8572,f8578,f8585,f8595,f8602,f8642,f8666,f8673,f8689,f8728,f8734,f8742,f8778,f8806,f8819,f8865,f8895,f8968,f9172,f9376,f9508,f9529,f9565,f9594,f9606,f9651,f9670,f9708,f9753,f9763,f9771,f9795,f9809,f9853,f9883,f9887,f9908,f9915,f9954,f9963,f9970,f10084,f10166,f10168,f10197,f10253,f10266,f10300,f10316,f10395,f10402,f10419,f10451,f10467,f10504,f10539,f10555,f10650,f10722,f10816,f10868,f10945,f10956,f11021,f11090,f11098,f11196,f11214,f11243,f11250,f11370,f11504,f11521,f11526,f11608,f11627,f11631,f11675,f11685,f11697,f11704,f11706,f11772,f11776,f11881,f11924,f11931,f11943,f11959,f11964,f12022,f12024,f12039,f12041,f12150,f12161,f12207,f12238,f12240,f12250,f12257,f12267,f12375,f12384,f12443,f12462,f12480,f12481,f12483,f12540,f12551,f12581,f12588,f12608,f12612,f12613,f12638,f12641,f12651,f12702,f12723,f12733,f12785,f12790,f12801,f12831,f12873,f12889,f12900,f12909,f12954,f12969,f13035,f13077,f13080,f13093,f13106,f13185,f13205,f13217,f13244,f13253,f13259,f13283]) ).
fof(f13283,plain,
( spl8_126
| spl8_6
| spl8_5
| spl8_3
| ~ spl8_74
| ~ spl8_112
| ~ spl8_114 ),
inference(avatar_split_clause,[],[f13207,f1490,f1413,f615,f264,f274,f279,f3732]) ).
fof(f3732,plain,
( spl8_126
<=> e3 = op(e1,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_126])]) ).
fof(f279,plain,
( spl8_6
<=> e2 = e3 ),
introduced(avatar_definition,[new_symbols(naming,[spl8_6])]) ).
fof(f274,plain,
( spl8_5
<=> e1 = e3 ),
introduced(avatar_definition,[new_symbols(naming,[spl8_5])]) ).
fof(f264,plain,
( spl8_3
<=> e0 = e3 ),
introduced(avatar_definition,[new_symbols(naming,[spl8_3])]) ).
fof(f615,plain,
( spl8_74
<=> e1 = op(e2,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_74])]) ).
fof(f1413,plain,
( spl8_112
<=> e0 = op(e0,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_112])]) ).
fof(f1490,plain,
( spl8_114
<=> e2 = op(e3,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_114])]) ).
fof(f13207,plain,
( e0 = e3
| e1 = e3
| e2 = e3
| e3 = op(e1,e2)
| ~ spl8_74
| ~ spl8_112
| ~ spl8_114 ),
inference(forward_demodulation,[],[f8876,f1415]) ).
fof(f1415,plain,
( e0 = op(e0,e2)
| ~ spl8_112 ),
inference(avatar_component_clause,[],[f1413]) ).
fof(f8876,plain,
( e1 = e3
| e2 = e3
| e3 = op(e1,e2)
| e3 = op(e0,e2)
| ~ spl8_74
| ~ spl8_114 ),
inference(forward_demodulation,[],[f5004,f617]) ).
fof(f617,plain,
( e1 = op(e2,e2)
| ~ spl8_74 ),
inference(avatar_component_clause,[],[f615]) ).
fof(f5004,plain,
( e2 = e3
| e3 = op(e2,e2)
| e3 = op(e1,e2)
| e3 = op(e0,e2)
| ~ spl8_114 ),
inference(forward_demodulation,[],[f148,f1492]) ).
fof(f1492,plain,
( e2 = op(e3,e2)
| ~ spl8_114 ),
inference(avatar_component_clause,[],[f1490]) ).
fof(f148,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(f13259,plain,
( spl8_85
| spl8_1
| spl8_5
| spl8_4
| ~ spl8_10
| ~ spl8_96
| ~ spl8_112 ),
inference(avatar_split_clause,[],[f13151,f1413,f805,f297,f269,f274,f254,f723]) ).
fof(f723,plain,
( spl8_85
<=> e1 = op(e0,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_85])]) ).
fof(f254,plain,
( spl8_1
<=> e0 = e1 ),
introduced(avatar_definition,[new_symbols(naming,[spl8_1])]) ).
fof(f269,plain,
( spl8_4
<=> e1 = e2 ),
introduced(avatar_definition,[new_symbols(naming,[spl8_4])]) ).
fof(f297,plain,
( spl8_10
<=> op(e0,e0) = e3 ),
introduced(avatar_definition,[new_symbols(naming,[spl8_10])]) ).
fof(f805,plain,
( spl8_96
<=> e2 = op(e0,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_96])]) ).
fof(f13151,plain,
( e1 = e2
| e1 = e3
| e0 = e1
| e1 = op(e0,e3)
| ~ spl8_10
| ~ spl8_96
| ~ spl8_112 ),
inference(forward_demodulation,[],[f10207,f807]) ).
fof(f807,plain,
( e2 = op(e0,e1)
| ~ spl8_96 ),
inference(avatar_component_clause,[],[f805]) ).
fof(f10207,plain,
( e1 = e3
| e0 = e1
| e1 = op(e0,e3)
| e1 = op(e0,e1)
| ~ spl8_10
| ~ spl8_112 ),
inference(forward_demodulation,[],[f10206,f299]) ).
fof(f299,plain,
( op(e0,e0) = e3
| ~ spl8_10 ),
inference(avatar_component_clause,[],[f297]) ).
fof(f10206,plain,
( e0 = e1
| e1 = op(e0,e3)
| e1 = op(e0,e1)
| op(e0,e0) = e1
| ~ spl8_112 ),
inference(forward_demodulation,[],[f127,f1415]) ).
fof(f127,plain,
( e1 = op(e0,e3)
| e1 = op(e0,e2)
| e1 = op(e0,e1)
| op(e0,e0) = e1 ),
inference(cnf_transformation,[],[f2]) ).
fof(f13253,plain,
( spl8_111
| spl8_6
| spl8_5
| ~ spl8_74
| ~ spl8_84
| ~ spl8_113 ),
inference(avatar_split_clause,[],[f13229,f1482,f716,f615,f274,f279,f1386]) ).
fof(f1386,plain,
( spl8_111
<=> e3 = op(e2,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_111])]) ).
fof(f716,plain,
( spl8_84
<=> e1 = op(e2,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_84])]) ).
fof(f1482,plain,
( spl8_113
<=> e2 = op(e2,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_113])]) ).
fof(f13229,plain,
( e1 = e3
| e2 = e3
| e3 = op(e2,e1)
| ~ spl8_74
| ~ spl8_84
| ~ spl8_113 ),
inference(duplicate_literal_removal,[],[f13228]) ).
fof(f13228,plain,
( e1 = e3
| e2 = e3
| e1 = e3
| e3 = op(e2,e1)
| ~ spl8_74
| ~ spl8_84
| ~ spl8_113 ),
inference(forward_demodulation,[],[f8750,f717]) ).
fof(f717,plain,
( e1 = op(e2,e3)
| ~ spl8_84 ),
inference(avatar_component_clause,[],[f716]) ).
fof(f8750,plain,
( e2 = e3
| e1 = e3
| e3 = op(e2,e3)
| e3 = op(e2,e1)
| ~ spl8_74
| ~ spl8_113 ),
inference(forward_demodulation,[],[f6145,f1484]) ).
fof(f1484,plain,
( e2 = op(e2,e0)
| ~ spl8_113 ),
inference(avatar_component_clause,[],[f1482]) ).
fof(f6145,plain,
( e1 = e3
| e3 = op(e2,e3)
| e3 = op(e2,e1)
| e3 = op(e2,e0)
| ~ spl8_74 ),
inference(forward_demodulation,[],[f147,f617]) ).
fof(f147,plain,
( e3 = op(e2,e3)
| e3 = op(e2,e2)
| e3 = op(e2,e1)
| e3 = op(e2,e0) ),
inference(cnf_transformation,[],[f2]) ).
fof(f13244,plain,
( spl8_86
| spl8_2
| spl8_3
| ~ spl8_10
| ~ spl8_107
| ~ spl8_113 ),
inference(avatar_split_clause,[],[f13221,f1482,f1356,f297,f264,f259,f728]) ).
fof(f728,plain,
( spl8_86
<=> e0 = op(e3,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_86])]) ).
fof(f259,plain,
( spl8_2
<=> e0 = e2 ),
introduced(avatar_definition,[new_symbols(naming,[spl8_2])]) ).
fof(f1356,plain,
( spl8_107
<=> e2 = op(e1,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_107])]) ).
fof(f13221,plain,
( e0 = e3
| e0 = e2
| e0 = op(e3,e0)
| ~ spl8_10
| ~ spl8_107
| ~ spl8_113 ),
inference(forward_demodulation,[],[f13220,f299]) ).
fof(f13220,plain,
( e0 = e2
| e0 = op(e3,e0)
| e0 = op(e0,e0)
| ~ spl8_107
| ~ spl8_113 ),
inference(duplicate_literal_removal,[],[f13219]) ).
fof(f13219,plain,
( e0 = e2
| e0 = e2
| e0 = op(e3,e0)
| e0 = op(e0,e0)
| ~ spl8_107
| ~ spl8_113 ),
inference(forward_demodulation,[],[f11515,f1358]) ).
fof(f1358,plain,
( e2 = op(e1,e0)
| ~ spl8_107 ),
inference(avatar_component_clause,[],[f1356]) ).
fof(f11515,plain,
( e0 = e2
| e0 = op(e3,e0)
| e0 = op(e1,e0)
| e0 = op(e0,e0)
| ~ spl8_113 ),
inference(forward_demodulation,[],[f126,f1484]) ).
fof(f126,plain,
( e0 = op(e3,e0)
| e0 = op(e2,e0)
| e0 = op(e1,e0)
| e0 = op(e0,e0) ),
inference(cnf_transformation,[],[f2]) ).
fof(f13217,plain,
( spl8_113
| spl8_105
| spl8_4
| ~ spl8_74
| ~ spl8_84 ),
inference(avatar_split_clause,[],[f8401,f716,f615,f269,f1311,f1482]) ).
fof(f1311,plain,
( spl8_105
<=> e2 = op(e2,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_105])]) ).
fof(f8401,plain,
( e1 = e2
| e2 = op(e2,e1)
| e2 = op(e2,e0)
| ~ spl8_74
| ~ spl8_84 ),
inference(duplicate_literal_removal,[],[f8400]) ).
fof(f8400,plain,
( e1 = e2
| e1 = e2
| e2 = op(e2,e1)
| e2 = op(e2,e0)
| ~ spl8_74
| ~ spl8_84 ),
inference(forward_demodulation,[],[f3418,f617]) ).
fof(f3418,plain,
( e1 = e2
| e2 = op(e2,e2)
| e2 = op(e2,e1)
| e2 = op(e2,e0)
| ~ spl8_84 ),
inference(forward_demodulation,[],[f145,f717]) ).
fof(f145,plain,
( e2 = op(e2,e3)
| e2 = op(e2,e2)
| e2 = op(e2,e1)
| e2 = op(e2,e0) ),
inference(cnf_transformation,[],[f2]) ).
fof(f13205,plain,
( spl8_72
| spl8_3
| spl8_1
| ~ spl8_82
| ~ spl8_84
| ~ spl8_119 ),
inference(avatar_split_clause,[],[f13188,f2077,f716,f707,f254,f264,f600]) ).
fof(f600,plain,
( spl8_72
<=> e0 = op(e3,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_72])]) ).
fof(f707,plain,
( spl8_82
<=> e1 = op(e1,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_82])]) ).
fof(f2077,plain,
( spl8_119
<=> e3 = op(e0,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_119])]) ).
fof(f13188,plain,
( e0 = e1
| e0 = e3
| e0 = op(e3,e3)
| ~ spl8_82
| ~ spl8_84
| ~ spl8_119 ),
inference(duplicate_literal_removal,[],[f13187]) ).
fof(f13187,plain,
( e0 = e1
| e0 = e1
| e0 = e3
| e0 = op(e3,e3)
| ~ spl8_82
| ~ spl8_84
| ~ spl8_119 ),
inference(forward_demodulation,[],[f12987,f708]) ).
fof(f708,plain,
( e1 = op(e1,e3)
| ~ spl8_82 ),
inference(avatar_component_clause,[],[f707]) ).
fof(f12987,plain,
( e0 = e1
| e0 = e3
| e0 = op(e3,e3)
| e0 = op(e1,e3)
| ~ spl8_84
| ~ spl8_119 ),
inference(forward_demodulation,[],[f3803,f717]) ).
fof(f3803,plain,
( e0 = e3
| e0 = op(e3,e3)
| e0 = op(e2,e3)
| e0 = op(e1,e3)
| ~ spl8_119 ),
inference(forward_demodulation,[],[f150,f2079]) ).
fof(f2079,plain,
( e3 = op(e0,e3)
| ~ spl8_119 ),
inference(avatar_component_clause,[],[f2077]) ).
fof(f150,plain,
( e0 = op(e3,e3)
| e0 = op(e2,e3)
| e0 = op(e1,e3)
| e0 = op(e0,e3) ),
inference(cnf_transformation,[],[f2]) ).
fof(f13185,plain,
( spl8_119
| spl8_5
| spl8_6
| ~ spl8_77
| ~ spl8_82
| ~ spl8_84 ),
inference(avatar_split_clause,[],[f13148,f716,f707,f635,f279,f274,f2077]) ).
fof(f635,plain,
( spl8_77
<=> e2 = op(e3,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_77])]) ).
fof(f13148,plain,
( e2 = e3
| e1 = e3
| e3 = op(e0,e3)
| ~ spl8_77
| ~ spl8_82
| ~ spl8_84 ),
inference(forward_demodulation,[],[f9711,f637]) ).
fof(f637,plain,
( e2 = op(e3,e3)
| ~ spl8_77 ),
inference(avatar_component_clause,[],[f635]) ).
fof(f9711,plain,
( e1 = e3
| e3 = op(e3,e3)
| e3 = op(e0,e3)
| ~ spl8_82
| ~ spl8_84 ),
inference(duplicate_literal_removal,[],[f7461]) ).
fof(f7461,plain,
( e1 = e3
| e1 = e3
| e3 = op(e3,e3)
| e3 = op(e0,e3)
| ~ spl8_82
| ~ spl8_84 ),
inference(forward_demodulation,[],[f7460,f708]) ).
fof(f7460,plain,
( e1 = e3
| e3 = op(e3,e3)
| e3 = op(e1,e3)
| e3 = op(e0,e3)
| ~ spl8_84 ),
inference(forward_demodulation,[],[f156,f717]) ).
fof(f156,plain,
( e3 = op(e3,e3)
| e3 = op(e2,e3)
| e3 = op(e1,e3)
| e3 = op(e0,e3) ),
inference(cnf_transformation,[],[f2]) ).
fof(f13106,plain,
( spl8_104
| spl8_1
| spl8_4
| ~ spl8_20
| ~ spl8_93
| ~ spl8_96 ),
inference(avatar_split_clause,[],[f13096,f805,f787,f342,f269,f254,f1207]) ).
fof(f1207,plain,
( spl8_104
<=> e1 = op(e3,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_104])]) ).
fof(f342,plain,
( spl8_20
<=> e0 = op(e1,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_20])]) ).
fof(f787,plain,
( spl8_93
<=> e0 = op(e2,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_93])]) ).
fof(f13096,plain,
( e1 = e2
| e0 = e1
| e1 = op(e3,e1)
| ~ spl8_20
| ~ spl8_93
| ~ spl8_96 ),
inference(forward_demodulation,[],[f13095,f807]) ).
fof(f13095,plain,
( e0 = e1
| e1 = op(e3,e1)
| e1 = op(e0,e1)
| ~ spl8_20
| ~ spl8_93 ),
inference(duplicate_literal_removal,[],[f13094]) ).
fof(f13094,plain,
( e0 = e1
| e0 = e1
| e1 = op(e3,e1)
| e1 = op(e0,e1)
| ~ spl8_20
| ~ spl8_93 ),
inference(forward_demodulation,[],[f1163,f344]) ).
fof(f344,plain,
( e0 = op(e1,e1)
| ~ spl8_20 ),
inference(avatar_component_clause,[],[f342]) ).
fof(f1163,plain,
( e0 = e1
| e1 = op(e3,e1)
| e1 = op(e1,e1)
| e1 = op(e0,e1)
| ~ spl8_93 ),
inference(forward_demodulation,[],[f136,f789]) ).
fof(f789,plain,
( e0 = op(e2,e1)
| ~ spl8_93 ),
inference(avatar_component_clause,[],[f787]) ).
fof(f136,plain,
( e1 = op(e3,e1)
| e1 = op(e2,e1)
| e1 = op(e1,e1)
| e1 = op(e0,e1) ),
inference(cnf_transformation,[],[f2]) ).
fof(f13093,plain,
( spl8_93
| spl8_87
| spl8_3
| spl8_2
| ~ spl8_80
| ~ spl8_113 ),
inference(avatar_split_clause,[],[f3609,f1482,f670,f259,f264,f733,f787]) ).
fof(f733,plain,
( spl8_87
<=> e0 = op(e2,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_87])]) ).
fof(f670,plain,
( spl8_80
<=> e3 = op(e2,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_80])]) ).
fof(f3609,plain,
( e0 = e2
| e0 = e3
| e0 = op(e2,e3)
| e0 = op(e2,e1)
| ~ spl8_80
| ~ spl8_113 ),
inference(forward_demodulation,[],[f2034,f1484]) ).
fof(f2034,plain,
( e0 = e3
| e0 = op(e2,e3)
| e0 = op(e2,e1)
| e0 = op(e2,e0)
| ~ spl8_80 ),
inference(forward_demodulation,[],[f141,f672]) ).
fof(f672,plain,
( e3 = op(e2,e2)
| ~ spl8_80 ),
inference(avatar_component_clause,[],[f670]) ).
fof(f141,plain,
( e0 = op(e2,e3)
| e0 = op(e2,e2)
| e0 = op(e2,e1)
| e0 = op(e2,e0) ),
inference(cnf_transformation,[],[f2]) ).
fof(f13080,plain,
( spl8_100
| spl8_115
| spl8_6
| ~ spl8_77
| ~ spl8_114 ),
inference(avatar_split_clause,[],[f12062,f1490,f635,f279,f2007,f923]) ).
fof(f923,plain,
( spl8_100
<=> e3 = op(e3,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_100])]) ).
fof(f2007,plain,
( spl8_115
<=> e3 = op(e3,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_115])]) ).
fof(f12062,plain,
( e2 = e3
| e3 = op(e3,e1)
| e3 = op(e3,e0)
| ~ spl8_77
| ~ spl8_114 ),
inference(duplicate_literal_removal,[],[f12061]) ).
fof(f12061,plain,
( e2 = e3
| e2 = e3
| e3 = op(e3,e1)
| e3 = op(e3,e0)
| ~ spl8_77
| ~ spl8_114 ),
inference(forward_demodulation,[],[f10431,f1492]) ).
fof(f10431,plain,
( e2 = e3
| e3 = op(e3,e2)
| e3 = op(e3,e1)
| e3 = op(e3,e0)
| ~ spl8_77 ),
inference(forward_demodulation,[],[f155,f637]) ).
fof(f155,plain,
( e3 = op(e3,e3)
| e3 = op(e3,e2)
| e3 = op(e3,e1)
| e3 = op(e3,e0) ),
inference(cnf_transformation,[],[f2]) ).
fof(f13077,plain,
( spl8_72
| spl8_1
| spl8_3
| ~ spl8_84
| ~ spl8_101
| ~ spl8_119 ),
inference(avatar_split_clause,[],[f12982,f2077,f929,f716,f264,f254,f600]) ).
fof(f929,plain,
( spl8_101
<=> e3 = op(e1,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_101])]) ).
fof(f12982,plain,
( e0 = e3
| e0 = e1
| e0 = op(e3,e3)
| ~ spl8_84
| ~ spl8_101
| ~ spl8_119 ),
inference(duplicate_literal_removal,[],[f12981]) ).
fof(f12981,plain,
( e0 = e3
| e0 = e1
| e0 = e3
| e0 = op(e3,e3)
| ~ spl8_84
| ~ spl8_101
| ~ spl8_119 ),
inference(forward_demodulation,[],[f12182,f931]) ).
fof(f931,plain,
( e3 = op(e1,e3)
| ~ spl8_101 ),
inference(avatar_component_clause,[],[f929]) ).
fof(f12182,plain,
( e0 = e1
| e0 = e3
| e0 = op(e3,e3)
| e0 = op(e1,e3)
| ~ spl8_84
| ~ spl8_119 ),
inference(forward_demodulation,[],[f3803,f717]) ).
fof(f13035,plain,
( spl8_2
| ~ spl8_88
| ~ spl8_96
| ~ spl8_112
| ~ spl8_114 ),
inference(avatar_split_clause,[],[f13033,f1490,f1413,f805,f737,f259]) ).
fof(f737,plain,
( spl8_88
<=> e1 = op(e3,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_88])]) ).
fof(f13033,plain,
( e0 = e2
| ~ spl8_88
| ~ spl8_96
| ~ spl8_112
| ~ spl8_114 ),
inference(forward_demodulation,[],[f807,f13013]) ).
fof(f13013,plain,
( e0 = op(e0,e1)
| ~ spl8_88
| ~ spl8_112
| ~ spl8_114 ),
inference(forward_demodulation,[],[f1415,f2371]) ).
fof(f2371,plain,
( e1 = e2
| ~ spl8_88
| ~ spl8_114 ),
inference(superposition,[],[f738,f1492]) ).
fof(f738,plain,
( e1 = op(e3,e2)
| ~ spl8_88 ),
inference(avatar_component_clause,[],[f737]) ).
fof(f12969,plain,
( spl8_108
| spl8_2
| spl8_1
| ~ spl8_18
| ~ spl8_97
| ~ spl8_99 ),
inference(avatar_split_clause,[],[f12956,f851,f809,f333,f254,f259,f1363]) ).
fof(f1363,plain,
( spl8_108
<=> e0 = op(e0,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_108])]) ).
fof(f333,plain,
( spl8_18
<=> op(e0,e0) = e1 ),
introduced(avatar_definition,[new_symbols(naming,[spl8_18])]) ).
fof(f809,plain,
( spl8_97
<=> e2 = op(e0,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_97])]) ).
fof(f851,plain,
( spl8_99
<=> e1 = op(e0,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_99])]) ).
fof(f12956,plain,
( e0 = e1
| e0 = e2
| e0 = op(e0,e3)
| ~ spl8_18
| ~ spl8_97
| ~ spl8_99 ),
inference(duplicate_literal_removal,[],[f12955]) ).
fof(f12955,plain,
( e0 = e1
| e0 = e1
| e0 = e2
| e0 = op(e0,e3)
| ~ spl8_18
| ~ spl8_97
| ~ spl8_99 ),
inference(forward_demodulation,[],[f9377,f335]) ).
fof(f335,plain,
( op(e0,e0) = e1
| ~ spl8_18 ),
inference(avatar_component_clause,[],[f333]) ).
fof(f9377,plain,
( e0 = e1
| e0 = e2
| e0 = op(e0,e3)
| e0 = op(e0,e0)
| ~ spl8_97
| ~ spl8_99 ),
inference(forward_demodulation,[],[f7471,f853]) ).
fof(f853,plain,
( e1 = op(e0,e1)
| ~ spl8_99 ),
inference(avatar_component_clause,[],[f851]) ).
fof(f7471,plain,
( e0 = e2
| e0 = op(e0,e3)
| e0 = op(e0,e1)
| e0 = op(e0,e0)
| ~ spl8_97 ),
inference(forward_demodulation,[],[f125,f811]) ).
fof(f811,plain,
( e2 = op(e0,e2)
| ~ spl8_97 ),
inference(avatar_component_clause,[],[f809]) ).
fof(f125,plain,
( e0 = op(e0,e3)
| e0 = op(e0,e2)
| e0 = op(e0,e1)
| e0 = op(e0,e0) ),
inference(cnf_transformation,[],[f2]) ).
fof(f12954,plain,
( spl8_6
| spl8_5
| spl8_3
| ~ spl8_18
| ~ spl8_97
| ~ spl8_99
| ~ spl8_108 ),
inference(avatar_split_clause,[],[f12940,f1363,f851,f809,f333,f264,f274,f279]) ).
fof(f12940,plain,
( e0 = e3
| e1 = e3
| e2 = e3
| ~ spl8_18
| ~ spl8_97
| ~ spl8_99
| ~ spl8_108 ),
inference(forward_demodulation,[],[f11300,f1364]) ).
fof(f1364,plain,
( e0 = op(e0,e3)
| ~ spl8_108 ),
inference(avatar_component_clause,[],[f1363]) ).
fof(f11300,plain,
( e1 = e3
| e2 = e3
| e3 = op(e0,e3)
| ~ spl8_18
| ~ spl8_97
| ~ spl8_99 ),
inference(duplicate_literal_removal,[],[f11299]) ).
fof(f11299,plain,
( e1 = e3
| e1 = e3
| e2 = e3
| e3 = op(e0,e3)
| ~ spl8_18
| ~ spl8_97
| ~ spl8_99 ),
inference(forward_demodulation,[],[f9395,f335]) ).
fof(f9395,plain,
( e1 = e3
| e2 = e3
| e3 = op(e0,e3)
| op(e0,e0) = e3
| ~ spl8_97
| ~ spl8_99 ),
inference(forward_demodulation,[],[f9394,f853]) ).
fof(f9394,plain,
( e2 = e3
| e3 = op(e0,e3)
| e3 = op(e0,e1)
| op(e0,e0) = e3
| ~ spl8_97 ),
inference(forward_demodulation,[],[f131,f811]) ).
fof(f131,plain,
( e3 = op(e0,e3)
| e3 = op(e0,e2)
| e3 = op(e0,e1)
| op(e0,e0) = e3 ),
inference(cnf_transformation,[],[f2]) ).
fof(f12909,plain,
( spl8_100
| spl8_6
| spl8_5
| ~ spl8_77
| ~ spl8_88
| ~ spl8_104 ),
inference(avatar_split_clause,[],[f12903,f1207,f737,f635,f274,f279,f923]) ).
fof(f12903,plain,
( e1 = e3
| e2 = e3
| e3 = op(e3,e0)
| ~ spl8_77
| ~ spl8_88
| ~ spl8_104 ),
inference(duplicate_literal_removal,[],[f12902]) ).
fof(f12902,plain,
( e1 = e3
| e2 = e3
| e1 = e3
| e3 = op(e3,e0)
| ~ spl8_77
| ~ spl8_88
| ~ spl8_104 ),
inference(forward_demodulation,[],[f12901,f1209]) ).
fof(f1209,plain,
( e1 = op(e3,e1)
| ~ spl8_104 ),
inference(avatar_component_clause,[],[f1207]) ).
fof(f12901,plain,
( e2 = e3
| e1 = e3
| e3 = op(e3,e1)
| e3 = op(e3,e0)
| ~ spl8_77
| ~ spl8_88 ),
inference(forward_demodulation,[],[f7465,f637]) ).
fof(f7465,plain,
( e1 = e3
| e3 = op(e3,e3)
| e3 = op(e3,e1)
| e3 = op(e3,e0)
| ~ spl8_88 ),
inference(forward_demodulation,[],[f155,f738]) ).
fof(f12900,plain,
( spl8_72
| spl8_1
| spl8_3
| ~ spl8_88
| ~ spl8_100
| ~ spl8_104 ),
inference(avatar_split_clause,[],[f12892,f1207,f923,f737,f264,f254,f600]) ).
fof(f12892,plain,
( e0 = e3
| e0 = e1
| e0 = op(e3,e3)
| ~ spl8_88
| ~ spl8_100
| ~ spl8_104 ),
inference(forward_demodulation,[],[f12891,f924]) ).
fof(f924,plain,
( e3 = op(e3,e0)
| ~ spl8_100 ),
inference(avatar_component_clause,[],[f923]) ).
fof(f12891,plain,
( e0 = e1
| e0 = op(e3,e3)
| e0 = op(e3,e0)
| ~ spl8_88
| ~ spl8_104 ),
inference(duplicate_literal_removal,[],[f12890]) ).
fof(f12890,plain,
( e0 = e1
| e0 = e1
| e0 = op(e3,e3)
| e0 = op(e3,e0)
| ~ spl8_88
| ~ spl8_104 ),
inference(forward_demodulation,[],[f2403,f1209]) ).
fof(f2403,plain,
( e0 = e1
| e0 = op(e3,e3)
| e0 = op(e3,e1)
| e0 = op(e3,e0)
| ~ spl8_88 ),
inference(forward_demodulation,[],[f149,f738]) ).
fof(f149,plain,
( e0 = op(e3,e3)
| e0 = op(e3,e2)
| e0 = op(e3,e1)
| e0 = op(e3,e0) ),
inference(cnf_transformation,[],[f2]) ).
fof(f12889,plain,
( spl8_103
| spl8_88
| spl8_4
| spl8_5
| ~ spl8_80
| ~ spl8_97 ),
inference(avatar_split_clause,[],[f3385,f809,f670,f274,f269,f737,f1201]) ).
fof(f1201,plain,
( spl8_103
<=> e1 = op(e1,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_103])]) ).
fof(f3385,plain,
( e1 = e3
| e1 = e2
| e1 = op(e3,e2)
| e1 = op(e1,e2)
| ~ spl8_80
| ~ spl8_97 ),
inference(forward_demodulation,[],[f2911,f672]) ).
fof(f2911,plain,
( e1 = e2
| e1 = op(e3,e2)
| e1 = op(e2,e2)
| e1 = op(e1,e2)
| ~ spl8_97 ),
inference(forward_demodulation,[],[f144,f811]) ).
fof(f144,plain,
( e1 = op(e3,e2)
| e1 = op(e2,e2)
| e1 = op(e1,e2)
| e1 = op(e0,e2) ),
inference(cnf_transformation,[],[f2]) ).
fof(f12873,plain,
( spl8_101
| spl8_5
| spl8_6
| spl8_3
| ~ spl8_77
| ~ spl8_84
| ~ spl8_108 ),
inference(avatar_split_clause,[],[f12846,f1363,f716,f635,f264,f279,f274,f929]) ).
fof(f12846,plain,
( e0 = e3
| e2 = e3
| e1 = e3
| e3 = op(e1,e3)
| ~ spl8_77
| ~ spl8_84
| ~ spl8_108 ),
inference(forward_demodulation,[],[f12110,f1364]) ).
fof(f12110,plain,
( e2 = e3
| e1 = e3
| e3 = op(e1,e3)
| e3 = op(e0,e3)
| ~ spl8_77
| ~ spl8_84 ),
inference(forward_demodulation,[],[f7460,f637]) ).
fof(f12831,plain,
( spl8_108
| spl8_2
| spl8_3
| spl8_1
| ~ spl8_18
| ~ spl8_97
| ~ spl8_110 ),
inference(avatar_split_clause,[],[f12805,f1382,f809,f333,f254,f264,f259,f1363]) ).
fof(f1382,plain,
( spl8_110
<=> e3 = op(e0,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_110])]) ).
fof(f12805,plain,
( e0 = e1
| e0 = e3
| e0 = e2
| e0 = op(e0,e3)
| ~ spl8_18
| ~ spl8_97
| ~ spl8_110 ),
inference(forward_demodulation,[],[f12804,f335]) ).
fof(f12804,plain,
( e0 = e3
| e0 = e2
| e0 = op(e0,e3)
| e0 = op(e0,e0)
| ~ spl8_97
| ~ spl8_110 ),
inference(forward_demodulation,[],[f9392,f1384]) ).
fof(f1384,plain,
( e3 = op(e0,e1)
| ~ spl8_110 ),
inference(avatar_component_clause,[],[f1382]) ).
fof(f9392,plain,
( e0 = e2
| e0 = op(e0,e3)
| e0 = op(e0,e1)
| e0 = op(e0,e0)
| ~ spl8_97 ),
inference(forward_demodulation,[],[f125,f811]) ).
fof(f12801,plain,
( spl8_75
| spl8_5
| spl8_4
| spl8_1
| ~ spl8_101
| ~ spl8_108
| ~ spl8_109 ),
inference(avatar_split_clause,[],[f12671,f1368,f1363,f929,f254,f269,f274,f619]) ).
fof(f619,plain,
( spl8_75
<=> e1 = op(e3,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_75])]) ).
fof(f1368,plain,
( spl8_109
<=> e2 = op(e2,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_109])]) ).
fof(f12671,plain,
( e0 = e1
| e1 = e2
| e1 = e3
| e1 = op(e3,e3)
| ~ spl8_101
| ~ spl8_108
| ~ spl8_109 ),
inference(forward_demodulation,[],[f12417,f1364]) ).
fof(f12417,plain,
( e1 = e2
| e1 = e3
| e1 = op(e3,e3)
| e1 = op(e0,e3)
| ~ spl8_101
| ~ spl8_109 ),
inference(forward_demodulation,[],[f2101,f1370]) ).
fof(f1370,plain,
( e2 = op(e2,e3)
| ~ spl8_109 ),
inference(avatar_component_clause,[],[f1368]) ).
fof(f2101,plain,
( e1 = e3
| e1 = op(e3,e3)
| e1 = op(e2,e3)
| e1 = op(e0,e3)
| ~ spl8_101 ),
inference(forward_demodulation,[],[f152,f931]) ).
fof(f152,plain,
( e1 = op(e3,e3)
| e1 = op(e2,e3)
| e1 = op(e1,e3)
| e1 = op(e0,e3) ),
inference(cnf_transformation,[],[f2]) ).
fof(f12790,plain,
( spl8_100
| spl8_79
| spl8_6
| ~ spl8_77
| ~ spl8_120 ),
inference(avatar_split_clause,[],[f12736,f2409,f635,f279,f665,f923]) ).
fof(f665,plain,
( spl8_79
<=> e3 = op(e3,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_79])]) ).
fof(f2409,plain,
( spl8_120
<=> e2 = op(e3,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_120])]) ).
fof(f12736,plain,
( e2 = e3
| e3 = op(e3,e2)
| e3 = op(e3,e0)
| ~ spl8_77
| ~ spl8_120 ),
inference(duplicate_literal_removal,[],[f7598]) ).
fof(f7598,plain,
( e2 = e3
| e2 = e3
| e3 = op(e3,e2)
| e3 = op(e3,e0)
| ~ spl8_77
| ~ spl8_120 ),
inference(forward_demodulation,[],[f7597,f2411]) ).
fof(f2411,plain,
( e2 = op(e3,e1)
| ~ spl8_120 ),
inference(avatar_component_clause,[],[f2409]) ).
fof(f7597,plain,
( e2 = e3
| e3 = op(e3,e2)
| e3 = op(e3,e1)
| e3 = op(e3,e0)
| ~ spl8_77 ),
inference(forward_demodulation,[],[f155,f637]) ).
fof(f12785,plain,
( spl8_100
| spl8_6
| spl8_5
| ~ spl8_77
| ~ spl8_88
| ~ spl8_120 ),
inference(avatar_split_clause,[],[f12748,f2409,f737,f635,f274,f279,f923]) ).
fof(f12748,plain,
( e1 = e3
| e2 = e3
| e3 = op(e3,e0)
| ~ spl8_77
| ~ spl8_88
| ~ spl8_120 ),
inference(forward_demodulation,[],[f10870,f738]) ).
fof(f10870,plain,
( e2 = e3
| e3 = op(e3,e2)
| e3 = op(e3,e0)
| ~ spl8_77
| ~ spl8_120 ),
inference(duplicate_literal_removal,[],[f7598]) ).
fof(f12733,plain,
( spl8_73
| spl8_82
| spl8_1
| ~ spl8_20
| ~ spl8_91 ),
inference(avatar_split_clause,[],[f12726,f767,f342,f254,f707,f610]) ).
fof(f610,plain,
( spl8_73
<=> e1 = op(e1,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_73])]) ).
fof(f767,plain,
( spl8_91
<=> e0 = op(e1,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_91])]) ).
fof(f12726,plain,
( e0 = e1
| e1 = op(e1,e3)
| e1 = op(e1,e0)
| ~ spl8_20
| ~ spl8_91 ),
inference(duplicate_literal_removal,[],[f12725]) ).
fof(f12725,plain,
( e0 = e1
| e0 = e1
| e1 = op(e1,e3)
| e1 = op(e1,e0)
| ~ spl8_20
| ~ spl8_91 ),
inference(forward_demodulation,[],[f9723,f344]) ).
fof(f9723,plain,
( e0 = e1
| e1 = op(e1,e3)
| e1 = op(e1,e1)
| e1 = op(e1,e0)
| ~ spl8_91 ),
inference(forward_demodulation,[],[f135,f769]) ).
fof(f769,plain,
( e0 = op(e1,e2)
| ~ spl8_91 ),
inference(avatar_component_clause,[],[f767]) ).
fof(f135,plain,
( e1 = op(e1,e3)
| e1 = op(e1,e2)
| e1 = op(e1,e1)
| e1 = op(e1,e0) ),
inference(cnf_transformation,[],[f2]) ).
fof(f12723,plain,
( spl8_91
| spl8_83
| spl8_3
| ~ spl8_80
| ~ spl8_118 ),
inference(avatar_split_clause,[],[f2245,f2073,f670,f264,f712,f767]) ).
fof(f712,plain,
( spl8_83
<=> e0 = op(e3,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_83])]) ).
fof(f2073,plain,
( spl8_118
<=> e3 = op(e0,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_118])]) ).
fof(f2245,plain,
( e0 = e3
| e0 = op(e3,e2)
| e0 = op(e1,e2)
| ~ spl8_80
| ~ spl8_118 ),
inference(duplicate_literal_removal,[],[f2244]) ).
fof(f2244,plain,
( e0 = e3
| e0 = e3
| e0 = op(e3,e2)
| e0 = op(e1,e2)
| ~ spl8_80
| ~ spl8_118 ),
inference(forward_demodulation,[],[f2104,f2075]) ).
fof(f2075,plain,
( e3 = op(e0,e2)
| ~ spl8_118 ),
inference(avatar_component_clause,[],[f2073]) ).
fof(f2104,plain,
( e0 = e3
| e0 = op(e3,e2)
| e0 = op(e1,e2)
| e0 = op(e0,e2)
| ~ spl8_80 ),
inference(forward_demodulation,[],[f142,f672]) ).
fof(f142,plain,
( e0 = op(e3,e2)
| e0 = op(e2,e2)
| e0 = op(e1,e2)
| e0 = op(e0,e2) ),
inference(cnf_transformation,[],[f2]) ).
fof(f12702,plain,
( spl8_118
| spl8_5
| spl8_6
| spl8_3
| ~ spl8_18
| ~ spl8_96
| ~ spl8_108 ),
inference(avatar_split_clause,[],[f12579,f1363,f805,f333,f264,f279,f274,f2073]) ).
fof(f12579,plain,
( e0 = e3
| e2 = e3
| e1 = e3
| e3 = op(e0,e2)
| ~ spl8_18
| ~ spl8_96
| ~ spl8_108 ),
inference(forward_demodulation,[],[f12445,f1364]) ).
fof(f12445,plain,
( e2 = e3
| e1 = e3
| e3 = op(e0,e3)
| e3 = op(e0,e2)
| ~ spl8_18
| ~ spl8_96 ),
inference(forward_demodulation,[],[f11399,f807]) ).
fof(f11399,plain,
( e1 = e3
| e3 = op(e0,e3)
| e3 = op(e0,e2)
| e3 = op(e0,e1)
| ~ spl8_18 ),
inference(forward_demodulation,[],[f131,f335]) ).
fof(f12651,plain,
( spl8_87
| spl8_3
| spl8_2
| spl8_1
| ~ spl8_80
| ~ spl8_113
| ~ spl8_125 ),
inference(avatar_split_clause,[],[f11505,f3692,f1482,f670,f254,f259,f264,f733]) ).
fof(f3692,plain,
( spl8_125
<=> e1 = op(e2,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_125])]) ).
fof(f11505,plain,
( e0 = e1
| e0 = e2
| e0 = e3
| e0 = op(e2,e3)
| ~ spl8_80
| ~ spl8_113
| ~ spl8_125 ),
inference(forward_demodulation,[],[f3609,f3694]) ).
fof(f3694,plain,
( e1 = op(e2,e1)
| ~ spl8_125 ),
inference(avatar_component_clause,[],[f3692]) ).
fof(f12641,plain,
( spl8_102
| spl8_114
| spl8_6
| spl8_2
| ~ spl8_80
| ~ spl8_112 ),
inference(avatar_split_clause,[],[f12258,f1413,f670,f259,f279,f1490,f1058]) ).
fof(f1058,plain,
( spl8_102
<=> e2 = op(e1,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_102])]) ).
fof(f12258,plain,
( e0 = e2
| e2 = e3
| e2 = op(e3,e2)
| e2 = op(e1,e2)
| ~ spl8_80
| ~ spl8_112 ),
inference(forward_demodulation,[],[f3637,f1415]) ).
fof(f3637,plain,
( e2 = e3
| e2 = op(e3,e2)
| e2 = op(e1,e2)
| e2 = op(e0,e2)
| ~ spl8_80 ),
inference(forward_demodulation,[],[f146,f672]) ).
fof(f146,plain,
( e2 = op(e3,e2)
| e2 = op(e2,e2)
| e2 = op(e1,e2)
| e2 = op(e0,e2) ),
inference(cnf_transformation,[],[f2]) ).
fof(f12638,plain,
( spl8_75
| spl8_1
| spl8_5
| ~ spl8_87
| ~ spl8_101
| ~ spl8_119 ),
inference(avatar_split_clause,[],[f12616,f2077,f929,f733,f274,f254,f619]) ).
fof(f12616,plain,
( e1 = e3
| e0 = e1
| e1 = op(e3,e3)
| ~ spl8_87
| ~ spl8_101
| ~ spl8_119 ),
inference(duplicate_literal_removal,[],[f12615]) ).
fof(f12615,plain,
( e1 = e3
| e1 = e3
| e0 = e1
| e1 = op(e3,e3)
| ~ spl8_87
| ~ spl8_101
| ~ spl8_119 ),
inference(forward_demodulation,[],[f12509,f931]) ).
fof(f12509,plain,
( e1 = e3
| e0 = e1
| e1 = op(e3,e3)
| e1 = op(e1,e3)
| ~ spl8_87
| ~ spl8_119 ),
inference(forward_demodulation,[],[f1884,f2079]) ).
fof(f1884,plain,
( e0 = e1
| e1 = op(e3,e3)
| e1 = op(e1,e3)
| e1 = op(e0,e3)
| ~ spl8_87 ),
inference(forward_demodulation,[],[f152,f734]) ).
fof(f734,plain,
( e0 = op(e2,e3)
| ~ spl8_87 ),
inference(avatar_component_clause,[],[f733]) ).
fof(f12613,plain,
( spl8_112
| spl8_108
| spl8_2
| spl8_1
| ~ spl8_18
| ~ spl8_96 ),
inference(avatar_split_clause,[],[f12418,f805,f333,f254,f259,f1363,f1413]) ).
fof(f12418,plain,
( e0 = e1
| e0 = e2
| e0 = op(e0,e3)
| e0 = op(e0,e2)
| ~ spl8_18
| ~ spl8_96 ),
inference(forward_demodulation,[],[f892,f335]) ).
fof(f892,plain,
( e0 = e2
| e0 = op(e0,e3)
| e0 = op(e0,e2)
| e0 = op(e0,e0)
| ~ spl8_96 ),
inference(forward_demodulation,[],[f125,f807]) ).
fof(f12612,plain,
( spl8_97
| spl8_102
| spl8_6
| spl8_2
| ~ spl8_80
| ~ spl8_83 ),
inference(avatar_split_clause,[],[f4147,f712,f670,f259,f279,f1058,f809]) ).
fof(f4147,plain,
( e0 = e2
| e2 = e3
| e2 = op(e1,e2)
| e2 = op(e0,e2)
| ~ spl8_80
| ~ spl8_83 ),
inference(forward_demodulation,[],[f3637,f713]) ).
fof(f713,plain,
( e0 = op(e3,e2)
| ~ spl8_83 ),
inference(avatar_component_clause,[],[f712]) ).
fof(f12608,plain,
( spl8_75
| spl8_5
| spl8_1
| ~ spl8_87
| ~ spl8_101
| ~ spl8_108 ),
inference(avatar_split_clause,[],[f12598,f1363,f929,f733,f254,f274,f619]) ).
fof(f12598,plain,
( e0 = e1
| e1 = e3
| e1 = op(e3,e3)
| ~ spl8_87
| ~ spl8_101
| ~ spl8_108 ),
inference(duplicate_literal_removal,[],[f12597]) ).
fof(f12597,plain,
( e0 = e1
| e1 = e3
| e0 = e1
| e1 = op(e3,e3)
| ~ spl8_87
| ~ spl8_101
| ~ spl8_108 ),
inference(forward_demodulation,[],[f1885,f1364]) ).
fof(f1885,plain,
( e1 = e3
| e0 = e1
| e1 = op(e3,e3)
| e1 = op(e0,e3)
| ~ spl8_87
| ~ spl8_101 ),
inference(forward_demodulation,[],[f1884,f931]) ).
fof(f12588,plain,
( spl8_101
| spl8_6
| spl8_3
| ~ spl8_77
| ~ spl8_87
| ~ spl8_108 ),
inference(avatar_split_clause,[],[f12578,f1363,f733,f635,f264,f279,f929]) ).
fof(f12578,plain,
( e0 = e3
| e2 = e3
| e3 = op(e1,e3)
| ~ spl8_77
| ~ spl8_87
| ~ spl8_108 ),
inference(duplicate_literal_removal,[],[f12577]) ).
fof(f12577,plain,
( e0 = e3
| e0 = e3
| e2 = e3
| e3 = op(e1,e3)
| ~ spl8_77
| ~ spl8_87
| ~ spl8_108 ),
inference(forward_demodulation,[],[f12576,f1364]) ).
fof(f12576,plain,
( e0 = e3
| e2 = e3
| e3 = op(e1,e3)
| e3 = op(e0,e3)
| ~ spl8_77
| ~ spl8_87 ),
inference(forward_demodulation,[],[f10766,f734]) ).
fof(f10766,plain,
( e2 = e3
| e3 = op(e2,e3)
| e3 = op(e1,e3)
| e3 = op(e0,e3)
| ~ spl8_77 ),
inference(forward_demodulation,[],[f156,f637]) ).
fof(f12581,plain,
( spl8_3
| spl8_6
| spl8_5
| ~ spl8_18
| ~ spl8_96
| ~ spl8_97
| ~ spl8_108 ),
inference(avatar_split_clause,[],[f12554,f1363,f809,f805,f333,f274,f279,f264]) ).
fof(f12554,plain,
( e1 = e3
| e2 = e3
| e0 = e3
| ~ spl8_18
| ~ spl8_96
| ~ spl8_97
| ~ spl8_108 ),
inference(forward_demodulation,[],[f12553,f335]) ).
fof(f12553,plain,
( e2 = e3
| e0 = e3
| op(e0,e0) = e3
| ~ spl8_96
| ~ spl8_97
| ~ spl8_108 ),
inference(duplicate_literal_removal,[],[f12552]) ).
fof(f12552,plain,
( e2 = e3
| e0 = e3
| e2 = e3
| op(e0,e0) = e3
| ~ spl8_96
| ~ spl8_97
| ~ spl8_108 ),
inference(forward_demodulation,[],[f3619,f807]) ).
fof(f3619,plain,
( e0 = e3
| e2 = e3
| e3 = op(e0,e1)
| op(e0,e0) = e3
| ~ spl8_97
| ~ spl8_108 ),
inference(forward_demodulation,[],[f1837,f1364]) ).
fof(f1837,plain,
( e2 = e3
| e3 = op(e0,e3)
| e3 = op(e0,e1)
| op(e0,e0) = e3
| ~ spl8_97 ),
inference(forward_demodulation,[],[f131,f811]) ).
fof(f12551,plain,
( spl8_3
| ~ spl8_108
| ~ spl8_119 ),
inference(avatar_split_clause,[],[f3905,f2077,f1363,f264]) ).
fof(f3905,plain,
( e0 = e3
| ~ spl8_108
| ~ spl8_119 ),
inference(superposition,[],[f1364,f2079]) ).
fof(f12540,plain,
( spl8_108
| spl8_1
| spl8_2
| ~ spl8_18
| ~ spl8_96
| ~ spl8_97 ),
inference(avatar_split_clause,[],[f12502,f809,f805,f333,f259,f254,f1363]) ).
fof(f12502,plain,
( e0 = e2
| e0 = e1
| e0 = op(e0,e3)
| ~ spl8_18
| ~ spl8_96
| ~ spl8_97 ),
inference(duplicate_literal_removal,[],[f12501]) ).
fof(f12501,plain,
( e0 = e2
| e0 = e1
| e0 = e2
| e0 = op(e0,e3)
| ~ spl8_18
| ~ spl8_96
| ~ spl8_97 ),
inference(forward_demodulation,[],[f11560,f807]) ).
fof(f11560,plain,
( e0 = e1
| e0 = e2
| e0 = op(e0,e3)
| e0 = op(e0,e1)
| ~ spl8_18
| ~ spl8_97 ),
inference(forward_demodulation,[],[f9392,f335]) ).
fof(f12483,plain,
( spl8_124
| spl8_116
| spl8_3
| spl8_5
| ~ spl8_18
| ~ spl8_86 ),
inference(avatar_split_clause,[],[f10507,f728,f333,f274,f264,f2019,f3514]) ).
fof(f3514,plain,
( spl8_124
<=> e3 = op(e1,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_124])]) ).
fof(f2019,plain,
( spl8_116
<=> e3 = op(e2,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_116])]) ).
fof(f10507,plain,
( e1 = e3
| e0 = e3
| e3 = op(e2,e0)
| e3 = op(e1,e0)
| ~ spl8_18
| ~ spl8_86 ),
inference(forward_demodulation,[],[f10506,f335]) ).
fof(f10506,plain,
( e0 = e3
| e3 = op(e2,e0)
| e3 = op(e1,e0)
| op(e0,e0) = e3
| ~ spl8_86 ),
inference(forward_demodulation,[],[f132,f729]) ).
fof(f729,plain,
( e0 = op(e3,e0)
| ~ spl8_86 ),
inference(avatar_component_clause,[],[f728]) ).
fof(f132,plain,
( e3 = op(e3,e0)
| e3 = op(e2,e0)
| e3 = op(e1,e0)
| op(e0,e0) = e3 ),
inference(cnf_transformation,[],[f2]) ).
fof(f12481,plain,
( ~ spl8_98
| spl8_43
| ~ spl8_77 ),
inference(avatar_split_clause,[],[f7491,f635,f456,f813]) ).
fof(f813,plain,
( spl8_98
<=> e2 = op(e0,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_98])]) ).
fof(f456,plain,
( spl8_43
<=> op(e0,e3) = op(e3,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_43])]) ).
fof(f7491,plain,
( e2 != op(e0,e3)
| spl8_43
| ~ spl8_77 ),
inference(superposition,[],[f458,f637]) ).
fof(f458,plain,
( op(e0,e3) != op(e3,e3)
| spl8_43 ),
inference(avatar_component_clause,[],[f456]) ).
fof(f12480,plain,
( spl8_87
| spl8_3
| spl8_1
| ~ spl8_80
| ~ spl8_116
| ~ spl8_125 ),
inference(avatar_split_clause,[],[f12468,f3692,f2019,f670,f254,f264,f733]) ).
fof(f12468,plain,
( e0 = e1
| e0 = e3
| e0 = op(e2,e3)
| ~ spl8_80
| ~ spl8_116
| ~ spl8_125 ),
inference(forward_demodulation,[],[f11396,f3694]) ).
fof(f11396,plain,
( e0 = e3
| e0 = op(e2,e3)
| e0 = op(e2,e1)
| ~ spl8_80
| ~ spl8_116 ),
inference(duplicate_literal_removal,[],[f11395]) ).
fof(f11395,plain,
( e0 = e3
| e0 = e3
| e0 = op(e2,e3)
| e0 = op(e2,e1)
| ~ spl8_80
| ~ spl8_116 ),
inference(forward_demodulation,[],[f10953,f2021]) ).
fof(f2021,plain,
( e3 = op(e2,e0)
| ~ spl8_116 ),
inference(avatar_component_clause,[],[f2019]) ).
fof(f10953,plain,
( e0 = e3
| e0 = op(e2,e3)
| e0 = op(e2,e1)
| e0 = op(e2,e0)
| ~ spl8_80 ),
inference(forward_demodulation,[],[f141,f672]) ).
fof(f12462,plain,
( spl8_116
| spl8_3
| spl8_5
| spl8_6
| ~ spl8_18
| ~ spl8_86
| ~ spl8_107 ),
inference(avatar_split_clause,[],[f11221,f1356,f728,f333,f279,f274,f264,f2019]) ).
fof(f11221,plain,
( e2 = e3
| e1 = e3
| e0 = e3
| e3 = op(e2,e0)
| ~ spl8_18
| ~ spl8_86
| ~ spl8_107 ),
inference(forward_demodulation,[],[f10507,f1358]) ).
fof(f12443,plain,
( spl8_72
| spl8_3
| spl8_2
| ~ spl8_98
| ~ spl8_101
| ~ spl8_109 ),
inference(avatar_split_clause,[],[f11993,f1368,f929,f813,f259,f264,f600]) ).
fof(f11993,plain,
( e0 = e2
| e0 = e3
| e0 = op(e3,e3)
| ~ spl8_98
| ~ spl8_101
| ~ spl8_109 ),
inference(duplicate_literal_removal,[],[f11992]) ).
fof(f11992,plain,
( e0 = e2
| e0 = e3
| e0 = e2
| e0 = op(e3,e3)
| ~ spl8_98
| ~ spl8_101
| ~ spl8_109 ),
inference(forward_demodulation,[],[f4371,f1370]) ).
fof(f4371,plain,
( e0 = e3
| e0 = e2
| e0 = op(e3,e3)
| e0 = op(e2,e3)
| ~ spl8_98
| ~ spl8_101 ),
inference(forward_demodulation,[],[f2124,f931]) ).
fof(f2124,plain,
( e0 = e2
| e0 = op(e3,e3)
| e0 = op(e2,e3)
| e0 = op(e1,e3)
| ~ spl8_98 ),
inference(forward_demodulation,[],[f150,f815]) ).
fof(f815,plain,
( e2 = op(e0,e3)
| ~ spl8_98 ),
inference(avatar_component_clause,[],[f813]) ).
fof(f12384,plain,
( spl8_3
| spl8_6
| spl8_5
| ~ spl8_18
| ~ spl8_86
| ~ spl8_95
| ~ spl8_107 ),
inference(avatar_split_clause,[],[f12341,f1356,f798,f728,f333,f274,f279,f264]) ).
fof(f798,plain,
( spl8_95
<=> e0 = op(e2,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_95])]) ).
fof(f12341,plain,
( e1 = e3
| e2 = e3
| e0 = e3
| ~ spl8_18
| ~ spl8_86
| ~ spl8_95
| ~ spl8_107 ),
inference(forward_demodulation,[],[f12340,f335]) ).
fof(f12340,plain,
( e2 = e3
| e0 = e3
| op(e0,e0) = e3
| ~ spl8_86
| ~ spl8_95
| ~ spl8_107 ),
inference(forward_demodulation,[],[f12339,f1358]) ).
fof(f12339,plain,
( e0 = e3
| e3 = op(e1,e0)
| op(e0,e0) = e3
| ~ spl8_86
| ~ spl8_95 ),
inference(duplicate_literal_removal,[],[f12338]) ).
fof(f12338,plain,
( e0 = e3
| e0 = e3
| e3 = op(e1,e0)
| op(e0,e0) = e3
| ~ spl8_86
| ~ spl8_95 ),
inference(forward_demodulation,[],[f2915,f729]) ).
fof(f2915,plain,
( e0 = e3
| e3 = op(e3,e0)
| e3 = op(e1,e0)
| op(e0,e0) = e3
| ~ spl8_95 ),
inference(forward_demodulation,[],[f132,f800]) ).
fof(f800,plain,
( e0 = op(e2,e0)
| ~ spl8_95 ),
inference(avatar_component_clause,[],[f798]) ).
fof(f12375,plain,
( spl8_6
| spl8_3
| spl8_5
| ~ spl8_18
| ~ spl8_98
| ~ spl8_99
| ~ spl8_112 ),
inference(avatar_split_clause,[],[f12297,f1413,f851,f813,f333,f274,f264,f279]) ).
fof(f12297,plain,
( e1 = e3
| e0 = e3
| e2 = e3
| ~ spl8_18
| ~ spl8_98
| ~ spl8_99
| ~ spl8_112 ),
inference(duplicate_literal_removal,[],[f12296]) ).
fof(f12296,plain,
( e1 = e3
| e1 = e3
| e0 = e3
| e2 = e3
| ~ spl8_18
| ~ spl8_98
| ~ spl8_99
| ~ spl8_112 ),
inference(forward_demodulation,[],[f12295,f335]) ).
fof(f12295,plain,
( e1 = e3
| e0 = e3
| e2 = e3
| op(e0,e0) = e3
| ~ spl8_98
| ~ spl8_99
| ~ spl8_112 ),
inference(forward_demodulation,[],[f11982,f853]) ).
fof(f11982,plain,
( e0 = e3
| e2 = e3
| e3 = op(e0,e1)
| op(e0,e0) = e3
| ~ spl8_98
| ~ spl8_112 ),
inference(forward_demodulation,[],[f10324,f1415]) ).
fof(f10324,plain,
( e2 = e3
| e3 = op(e0,e2)
| e3 = op(e0,e1)
| op(e0,e0) = e3
| ~ spl8_98 ),
inference(forward_demodulation,[],[f131,f815]) ).
fof(f12267,plain,
( spl8_124
| spl8_3
| spl8_5
| spl8_6
| ~ spl8_18
| ~ spl8_86
| ~ spl8_113 ),
inference(avatar_split_clause,[],[f12217,f1482,f728,f333,f279,f274,f264,f3514]) ).
fof(f12217,plain,
( e2 = e3
| e1 = e3
| e0 = e3
| e3 = op(e1,e0)
| ~ spl8_18
| ~ spl8_86
| ~ spl8_113 ),
inference(forward_demodulation,[],[f10507,f1484]) ).
fof(f12257,plain,
( spl8_114
| spl8_6
| spl8_4
| spl8_2
| ~ spl8_80
| ~ spl8_103
| ~ spl8_112 ),
inference(avatar_split_clause,[],[f10878,f1413,f1201,f670,f259,f269,f279,f1490]) ).
fof(f10878,plain,
( e0 = e2
| e1 = e2
| e2 = e3
| e2 = op(e3,e2)
| ~ spl8_80
| ~ spl8_103
| ~ spl8_112 ),
inference(forward_demodulation,[],[f10742,f1415]) ).
fof(f10742,plain,
( e1 = e2
| e2 = e3
| e2 = op(e3,e2)
| e2 = op(e0,e2)
| ~ spl8_80
| ~ spl8_103 ),
inference(forward_demodulation,[],[f3637,f1202]) ).
fof(f1202,plain,
( e1 = op(e1,e2)
| ~ spl8_103 ),
inference(avatar_component_clause,[],[f1201]) ).
fof(f12250,plain,
( spl8_111
| spl8_3
| spl8_5
| spl8_6
| ~ spl8_20
| ~ spl8_96
| ~ spl8_104 ),
inference(avatar_split_clause,[],[f3891,f1207,f805,f342,f279,f274,f264,f1386]) ).
fof(f3891,plain,
( e2 = e3
| e1 = e3
| e0 = e3
| e3 = op(e2,e1)
| ~ spl8_20
| ~ spl8_96
| ~ spl8_104 ),
inference(forward_demodulation,[],[f3844,f807]) ).
fof(f3844,plain,
( e1 = e3
| e0 = e3
| e3 = op(e2,e1)
| e3 = op(e0,e1)
| ~ spl8_20
| ~ spl8_104 ),
inference(forward_demodulation,[],[f2490,f1209]) ).
fof(f2490,plain,
( e0 = e3
| e3 = op(e3,e1)
| e3 = op(e2,e1)
| e3 = op(e0,e1)
| ~ spl8_20 ),
inference(forward_demodulation,[],[f140,f344]) ).
fof(f140,plain,
( e3 = op(e3,e1)
| e3 = op(e2,e1)
| e3 = op(e1,e1)
| e3 = op(e0,e1) ),
inference(cnf_transformation,[],[f2]) ).
fof(f12240,plain,
( spl8_115
| spl8_3
| spl8_6
| ~ spl8_77
| ~ spl8_86
| ~ spl8_114 ),
inference(avatar_split_clause,[],[f12059,f1490,f728,f635,f279,f264,f2007]) ).
fof(f12059,plain,
( e2 = e3
| e0 = e3
| e3 = op(e3,e1)
| ~ spl8_77
| ~ spl8_86
| ~ spl8_114 ),
inference(duplicate_literal_removal,[],[f12058]) ).
fof(f12058,plain,
( e2 = e3
| e0 = e3
| e2 = e3
| e3 = op(e3,e1)
| ~ spl8_77
| ~ spl8_86
| ~ spl8_114 ),
inference(forward_demodulation,[],[f10971,f1492]) ).
fof(f10971,plain,
( e0 = e3
| e2 = e3
| e3 = op(e3,e2)
| e3 = op(e3,e1)
| ~ spl8_77
| ~ spl8_86 ),
inference(forward_demodulation,[],[f7597,f729]) ).
fof(f12238,plain,
( spl8_3
| spl8_5
| spl8_6
| ~ spl8_18
| ~ spl8_86
| ~ spl8_107
| ~ spl8_113 ),
inference(avatar_split_clause,[],[f12215,f1482,f1356,f728,f333,f279,f274,f264]) ).
fof(f12215,plain,
( e2 = e3
| e1 = e3
| e0 = e3
| ~ spl8_18
| ~ spl8_86
| ~ spl8_107
| ~ spl8_113 ),
inference(duplicate_literal_removal,[],[f12214]) ).
fof(f12214,plain,
( e2 = e3
| e1 = e3
| e0 = e3
| e2 = e3
| ~ spl8_18
| ~ spl8_86
| ~ spl8_107
| ~ spl8_113 ),
inference(forward_demodulation,[],[f12191,f1358]) ).
fof(f12191,plain,
( e1 = e3
| e0 = e3
| e2 = e3
| e3 = op(e1,e0)
| ~ spl8_18
| ~ spl8_86
| ~ spl8_113 ),
inference(forward_demodulation,[],[f12190,f335]) ).
fof(f12190,plain,
( e0 = e3
| e2 = e3
| e3 = op(e1,e0)
| op(e0,e0) = e3
| ~ spl8_86
| ~ spl8_113 ),
inference(forward_demodulation,[],[f3520,f729]) ).
fof(f3520,plain,
( e2 = e3
| e3 = op(e3,e0)
| e3 = op(e1,e0)
| op(e0,e0) = e3
| ~ spl8_113 ),
inference(forward_demodulation,[],[f132,f1484]) ).
fof(f12207,plain,
( spl8_2
| ~ spl8_95
| ~ spl8_113 ),
inference(avatar_split_clause,[],[f12192,f1482,f798,f259]) ).
fof(f12192,plain,
( e0 = e2
| ~ spl8_95
| ~ spl8_113 ),
inference(forward_demodulation,[],[f1484,f800]) ).
fof(f12161,plain,
( spl8_107
| spl8_2
| spl8_4
| ~ spl8_18
| ~ spl8_86
| ~ spl8_95 ),
inference(avatar_split_clause,[],[f11040,f798,f728,f333,f269,f259,f1356]) ).
fof(f11040,plain,
( e1 = e2
| e0 = e2
| e2 = op(e1,e0)
| ~ spl8_18
| ~ spl8_86
| ~ spl8_95 ),
inference(forward_demodulation,[],[f11039,f335]) ).
fof(f11039,plain,
( e0 = e2
| e2 = op(e1,e0)
| op(e0,e0) = e2
| ~ spl8_86
| ~ spl8_95 ),
inference(duplicate_literal_removal,[],[f11038]) ).
fof(f11038,plain,
( e0 = e2
| e0 = e2
| e2 = op(e1,e0)
| op(e0,e0) = e2
| ~ spl8_86
| ~ spl8_95 ),
inference(forward_demodulation,[],[f1172,f729]) ).
fof(f1172,plain,
( e0 = e2
| e2 = op(e3,e0)
| e2 = op(e1,e0)
| op(e0,e0) = e2
| ~ spl8_95 ),
inference(forward_demodulation,[],[f130,f800]) ).
fof(f130,plain,
( e2 = op(e3,e0)
| e2 = op(e2,e0)
| e2 = op(e1,e0)
| op(e0,e0) = e2 ),
inference(cnf_transformation,[],[f2]) ).
fof(f12150,plain,
( spl8_4
| spl8_6
| spl8_2
| ~ spl8_18
| ~ spl8_86
| ~ spl8_95
| ~ spl8_124 ),
inference(avatar_split_clause,[],[f12045,f3514,f798,f728,f333,f259,f279,f269]) ).
fof(f12045,plain,
( e0 = e2
| e2 = e3
| e1 = e2
| ~ spl8_18
| ~ spl8_86
| ~ spl8_95
| ~ spl8_124 ),
inference(duplicate_literal_removal,[],[f11094]) ).
fof(f11094,plain,
( e0 = e2
| e2 = e3
| e1 = e2
| e0 = e2
| ~ spl8_18
| ~ spl8_86
| ~ spl8_95
| ~ spl8_124 ),
inference(forward_demodulation,[],[f10873,f800]) ).
fof(f10873,plain,
( e2 = e3
| e1 = e2
| e0 = e2
| e2 = op(e2,e0)
| ~ spl8_18
| ~ spl8_86
| ~ spl8_124 ),
inference(forward_demodulation,[],[f10505,f3516]) ).
fof(f3516,plain,
( e3 = op(e1,e0)
| ~ spl8_124 ),
inference(avatar_component_clause,[],[f3514]) ).
fof(f10505,plain,
( e1 = e2
| e0 = e2
| e2 = op(e2,e0)
| e2 = op(e1,e0)
| ~ spl8_18
| ~ spl8_86 ),
inference(forward_demodulation,[],[f7885,f335]) ).
fof(f7885,plain,
( e0 = e2
| e2 = op(e2,e0)
| e2 = op(e1,e0)
| op(e0,e0) = e2
| ~ spl8_86 ),
inference(forward_demodulation,[],[f130,f729]) ).
fof(f12041,plain,
( spl8_75
| spl8_5
| spl8_1
| spl8_4
| ~ spl8_86
| ~ spl8_114
| ~ spl8_115 ),
inference(avatar_split_clause,[],[f12002,f2007,f1490,f728,f269,f254,f274,f619]) ).
fof(f12002,plain,
( e1 = e2
| e0 = e1
| e1 = e3
| e1 = op(e3,e3)
| ~ spl8_86
| ~ spl8_114
| ~ spl8_115 ),
inference(forward_demodulation,[],[f11297,f1492]) ).
fof(f11297,plain,
( e0 = e1
| e1 = e3
| e1 = op(e3,e3)
| e1 = op(e3,e2)
| ~ spl8_86
| ~ spl8_115 ),
inference(forward_demodulation,[],[f7941,f729]) ).
fof(f7941,plain,
( e1 = e3
| e1 = op(e3,e3)
| e1 = op(e3,e2)
| e1 = op(e3,e0)
| ~ spl8_115 ),
inference(forward_demodulation,[],[f151,f2009]) ).
fof(f2009,plain,
( e3 = op(e3,e1)
| ~ spl8_115 ),
inference(avatar_component_clause,[],[f2007]) ).
fof(f151,plain,
( e1 = op(e3,e3)
| e1 = op(e3,e2)
| e1 = op(e3,e1)
| e1 = op(e3,e0) ),
inference(cnf_transformation,[],[f2]) ).
fof(f12039,plain,
( spl8_72
| spl8_2
| spl8_3
| ~ spl8_101
| ~ spl8_109
| ~ spl8_119 ),
inference(avatar_split_clause,[],[f12027,f2077,f1368,f929,f264,f259,f600]) ).
fof(f12027,plain,
( e0 = e3
| e0 = e2
| e0 = op(e3,e3)
| ~ spl8_101
| ~ spl8_109
| ~ spl8_119 ),
inference(duplicate_literal_removal,[],[f12026]) ).
fof(f12026,plain,
( e0 = e3
| e0 = e2
| e0 = e3
| e0 = op(e3,e3)
| ~ spl8_101
| ~ spl8_109
| ~ spl8_119 ),
inference(forward_demodulation,[],[f11934,f931]) ).
fof(f11934,plain,
( e0 = e2
| e0 = e3
| e0 = op(e3,e3)
| e0 = op(e1,e3)
| ~ spl8_109
| ~ spl8_119 ),
inference(forward_demodulation,[],[f3803,f1370]) ).
fof(f12024,plain,
( spl8_119
| spl8_3
| spl8_6
| spl8_5
| ~ spl8_18
| ~ spl8_96
| ~ spl8_112 ),
inference(avatar_split_clause,[],[f11927,f1413,f805,f333,f274,f279,f264,f2077]) ).
fof(f11927,plain,
( e1 = e3
| e2 = e3
| e0 = e3
| e3 = op(e0,e3)
| ~ spl8_18
| ~ spl8_96
| ~ spl8_112 ),
inference(forward_demodulation,[],[f11926,f335]) ).
fof(f11926,plain,
( e2 = e3
| e0 = e3
| e3 = op(e0,e3)
| op(e0,e0) = e3
| ~ spl8_96
| ~ spl8_112 ),
inference(forward_demodulation,[],[f8982,f807]) ).
fof(f8982,plain,
( e0 = e3
| e3 = op(e0,e3)
| e3 = op(e0,e1)
| op(e0,e0) = e3
| ~ spl8_112 ),
inference(forward_demodulation,[],[f131,f1415]) ).
fof(f12022,plain,
( spl8_5
| spl8_3
| spl8_6
| ~ spl8_18
| ~ spl8_96
| ~ spl8_98
| ~ spl8_112 ),
inference(avatar_split_clause,[],[f11977,f1413,f813,f805,f333,f279,f264,f274]) ).
fof(f11977,plain,
( e2 = e3
| e0 = e3
| e1 = e3
| ~ spl8_18
| ~ spl8_96
| ~ spl8_98
| ~ spl8_112 ),
inference(duplicate_literal_removal,[],[f11976]) ).
fof(f11976,plain,
( e2 = e3
| e0 = e3
| e1 = e3
| e2 = e3
| ~ spl8_18
| ~ spl8_96
| ~ spl8_98
| ~ spl8_112 ),
inference(forward_demodulation,[],[f11975,f807]) ).
fof(f11975,plain,
( e0 = e3
| e1 = e3
| e2 = e3
| e3 = op(e0,e1)
| ~ spl8_18
| ~ spl8_98
| ~ spl8_112 ),
inference(forward_demodulation,[],[f11541,f1415]) ).
fof(f11541,plain,
( e1 = e3
| e2 = e3
| e3 = op(e0,e2)
| e3 = op(e0,e1)
| ~ spl8_18
| ~ spl8_98 ),
inference(forward_demodulation,[],[f10324,f335]) ).
fof(f11964,plain,
( spl8_86
| spl8_72
| spl8_2
| spl8_3
| ~ spl8_114
| ~ spl8_115 ),
inference(avatar_split_clause,[],[f2023,f2007,f1490,f264,f259,f600,f728]) ).
fof(f2023,plain,
( e0 = e3
| e0 = e2
| e0 = op(e3,e3)
| e0 = op(e3,e0)
| ~ spl8_114
| ~ spl8_115 ),
inference(forward_demodulation,[],[f1730,f2009]) ).
fof(f1730,plain,
( e0 = e2
| e0 = op(e3,e3)
| e0 = op(e3,e1)
| e0 = op(e3,e0)
| ~ spl8_114 ),
inference(forward_demodulation,[],[f149,f1492]) ).
fof(f11959,plain,
( spl8_72
| spl8_2
| spl8_3
| ~ spl8_100
| ~ spl8_114
| ~ spl8_115 ),
inference(avatar_split_clause,[],[f11948,f2007,f1490,f923,f264,f259,f600]) ).
fof(f11948,plain,
( e0 = e3
| e0 = e2
| e0 = op(e3,e3)
| ~ spl8_100
| ~ spl8_114
| ~ spl8_115 ),
inference(duplicate_literal_removal,[],[f11947]) ).
fof(f11947,plain,
( e0 = e3
| e0 = e2
| e0 = e3
| e0 = op(e3,e3)
| ~ spl8_100
| ~ spl8_114
| ~ spl8_115 ),
inference(forward_demodulation,[],[f11946,f924]) ).
fof(f11946,plain,
( e0 = e2
| e0 = e3
| e0 = op(e3,e3)
| e0 = op(e3,e0)
| ~ spl8_114
| ~ spl8_115 ),
inference(forward_demodulation,[],[f7942,f1492]) ).
fof(f7942,plain,
( e0 = e3
| e0 = op(e3,e3)
| e0 = op(e3,e2)
| e0 = op(e3,e0)
| ~ spl8_115 ),
inference(forward_demodulation,[],[f149,f2009]) ).
fof(f11943,plain,
( spl8_115
| spl8_6
| spl8_5
| spl8_3
| ~ spl8_20
| ~ spl8_96
| ~ spl8_125 ),
inference(avatar_split_clause,[],[f11893,f3692,f805,f342,f264,f274,f279,f2007]) ).
fof(f11893,plain,
( e0 = e3
| e1 = e3
| e2 = e3
| e3 = op(e3,e1)
| ~ spl8_20
| ~ spl8_96
| ~ spl8_125 ),
inference(forward_demodulation,[],[f11892,f344]) ).
fof(f11892,plain,
( e1 = e3
| e2 = e3
| e3 = op(e3,e1)
| e3 = op(e1,e1)
| ~ spl8_96
| ~ spl8_125 ),
inference(forward_demodulation,[],[f11788,f3694]) ).
fof(f11788,plain,
( e2 = e3
| e3 = op(e3,e1)
| e3 = op(e2,e1)
| e3 = op(e1,e1)
| ~ spl8_96 ),
inference(forward_demodulation,[],[f140,f807]) ).
fof(f11931,plain,
( spl8_119
| spl8_101
| spl8_6
| ~ spl8_77
| ~ spl8_109 ),
inference(avatar_split_clause,[],[f11901,f1368,f635,f279,f929,f2077]) ).
fof(f11901,plain,
( e2 = e3
| e3 = op(e1,e3)
| e3 = op(e0,e3)
| ~ spl8_77
| ~ spl8_109 ),
inference(duplicate_literal_removal,[],[f11900]) ).
fof(f11900,plain,
( e2 = e3
| e2 = e3
| e3 = op(e1,e3)
| e3 = op(e0,e3)
| ~ spl8_77
| ~ spl8_109 ),
inference(forward_demodulation,[],[f10766,f1370]) ).
fof(f11924,plain,
( spl8_5
| spl8_3
| spl8_6
| ~ spl8_18
| ~ spl8_96
| ~ spl8_108
| ~ spl8_112 ),
inference(avatar_split_clause,[],[f11801,f1413,f1363,f805,f333,f279,f264,f274]) ).
fof(f11801,plain,
( e2 = e3
| e0 = e3
| e1 = e3
| ~ spl8_18
| ~ spl8_96
| ~ spl8_108
| ~ spl8_112 ),
inference(forward_demodulation,[],[f11800,f807]) ).
fof(f11800,plain,
( e0 = e3
| e1 = e3
| e3 = op(e0,e1)
| ~ spl8_18
| ~ spl8_108
| ~ spl8_112 ),
inference(duplicate_literal_removal,[],[f11799]) ).
fof(f11799,plain,
( e0 = e3
| e1 = e3
| e0 = e3
| e3 = op(e0,e1)
| ~ spl8_18
| ~ spl8_108
| ~ spl8_112 ),
inference(forward_demodulation,[],[f11444,f1364]) ).
fof(f11444,plain,
( e1 = e3
| e0 = e3
| e3 = op(e0,e3)
| e3 = op(e0,e1)
| ~ spl8_18
| ~ spl8_112 ),
inference(forward_demodulation,[],[f8982,f335]) ).
fof(f11881,plain,
( spl8_6
| ~ spl8_109
| ~ spl8_121 ),
inference(avatar_split_clause,[],[f2639,f2434,f1368,f279]) ).
fof(f2434,plain,
( spl8_121
<=> e3 = op(e2,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_121])]) ).
fof(f2639,plain,
( e2 = e3
| ~ spl8_109
| ~ spl8_121 ),
inference(superposition,[],[f1370,f2436]) ).
fof(f2436,plain,
( e3 = op(e2,e3)
| ~ spl8_121 ),
inference(avatar_component_clause,[],[f2434]) ).
fof(f11776,plain,
( ~ spl8_123
| ~ spl8_71
| ~ spl8_118 ),
inference(avatar_split_clause,[],[f11687,f2073,f596,f2607]) ).
fof(f2607,plain,
( spl8_123
<=> e1 = op(e2,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_123])]) ).
fof(f596,plain,
( spl8_71
<=> e0 = op(e2,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_71])]) ).
fof(f11687,plain,
( e0 != op(e2,e2)
| e1 != op(e2,e0)
| ~ spl8_118 ),
inference(trivial_inequality_removal,[],[f11686]) ).
fof(f11686,plain,
( e3 != e3
| e0 != op(e2,e2)
| e1 != op(e2,e0)
| ~ spl8_118 ),
inference(forward_demodulation,[],[f239,f2075]) ).
fof(f239,plain,
( e0 != op(e2,e2)
| e3 != op(e0,e2)
| e1 != op(e2,e0) ),
inference(inner_rewriting,[],[f215]) ).
fof(f215,plain,
( e0 != op(e2,e2)
| e3 != op(op(e2,e2),e2)
| e1 != op(e2,op(e2,e2)) ),
inference(cnf_transformation,[],[f40]) ).
fof(f40,plain,
( e0 != op(e2,e2)
| e3 != op(op(e2,e2),e2)
| e1 != op(e2,op(e2,e2)) ),
inference(ennf_transformation,[],[f16]) ).
fof(f16,axiom,
~ ( e0 = op(e2,e2)
& e3 = op(op(e2,e2),e2)
& e1 = op(e2,op(e2,e2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax16) ).
fof(f11772,plain,
( ~ spl8_94
| ~ spl8_8
| ~ spl8_122 ),
inference(avatar_split_clause,[],[f6629,f2494,f288,f791]) ).
fof(f791,plain,
( spl8_94
<=> e0 = op(e3,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_94])]) ).
fof(f288,plain,
( spl8_8
<=> e3 = op(e1,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_8])]) ).
fof(f2494,plain,
( spl8_122
<=> e2 = op(e1,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_122])]) ).
fof(f6629,plain,
( e0 != op(e3,e1)
| ~ spl8_8
| ~ spl8_122 ),
inference(trivial_inequality_removal,[],[f5102]) ).
fof(f5102,plain,
( e2 != e2
| e0 != op(e3,e1)
| ~ spl8_8
| ~ spl8_122 ),
inference(forward_demodulation,[],[f5077,f2496]) ).
fof(f2496,plain,
( e2 = op(e1,e3)
| ~ spl8_122 ),
inference(avatar_component_clause,[],[f2494]) ).
fof(f5077,plain,
( e0 != op(e3,e1)
| e2 != op(e1,e3)
| ~ spl8_8 ),
inference(trivial_inequality_removal,[],[f5076]) ).
fof(f5076,plain,
( e3 != e3
| e0 != op(e3,e1)
| e2 != op(e1,e3)
| ~ spl8_8 ),
inference(forward_demodulation,[],[f242,f290]) ).
fof(f290,plain,
( e3 = op(e1,e1)
| ~ spl8_8 ),
inference(avatar_component_clause,[],[f288]) ).
fof(f242,plain,
( e3 != op(e1,e1)
| e0 != op(e3,e1)
| e2 != op(e1,e3) ),
inference(inner_rewriting,[],[f218]) ).
fof(f218,plain,
( e3 != op(e1,e1)
| e0 != op(op(e1,e1),e1)
| e2 != op(e1,op(e1,e1)) ),
inference(cnf_transformation,[],[f43]) ).
fof(f43,plain,
( e3 != op(e1,e1)
| e0 != op(op(e1,e1),e1)
| e2 != op(e1,op(e1,e1)) ),
inference(ennf_transformation,[],[f19]) ).
fof(f19,axiom,
~ ( e3 = op(e1,e1)
& e0 = op(op(e1,e1),e1)
& e2 = op(e1,op(e1,e1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax19) ).
fof(f11706,plain,
( spl8_75
| spl8_1
| spl8_5
| spl8_4
| ~ spl8_94
| ~ spl8_100
| ~ spl8_114 ),
inference(avatar_split_clause,[],[f11678,f1490,f923,f791,f269,f274,f254,f619]) ).
fof(f11678,plain,
( e1 = e2
| e1 = e3
| e0 = e1
| e1 = op(e3,e3)
| ~ spl8_94
| ~ spl8_100
| ~ spl8_114 ),
inference(forward_demodulation,[],[f10349,f1492]) ).
fof(f10349,plain,
( e1 = e3
| e0 = e1
| e1 = op(e3,e3)
| e1 = op(e3,e2)
| ~ spl8_94
| ~ spl8_100 ),
inference(forward_demodulation,[],[f10348,f924]) ).
fof(f10348,plain,
( e0 = e1
| e1 = op(e3,e3)
| e1 = op(e3,e2)
| e1 = op(e3,e0)
| ~ spl8_94 ),
inference(forward_demodulation,[],[f151,f793]) ).
fof(f793,plain,
( e0 = op(e3,e1)
| ~ spl8_94 ),
inference(avatar_component_clause,[],[f791]) ).
fof(f11704,plain,
( ~ spl8_73
| spl8_54
| ~ spl8_103 ),
inference(avatar_split_clause,[],[f5051,f1201,f511,f610]) ).
fof(f511,plain,
( spl8_54
<=> op(e1,e0) = op(e1,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_54])]) ).
fof(f5051,plain,
( e1 != op(e1,e0)
| spl8_54
| ~ spl8_103 ),
inference(superposition,[],[f513,f1202]) ).
fof(f513,plain,
( op(e1,e0) != op(e1,e2)
| spl8_54 ),
inference(avatar_component_clause,[],[f511]) ).
fof(f11697,plain,
( spl8_75
| spl8_5
| spl8_1
| spl8_4
| ~ spl8_92
| ~ spl8_98
| ~ spl8_121 ),
inference(avatar_split_clause,[],[f11609,f2434,f813,f771,f269,f254,f274,f619]) ).
fof(f771,plain,
( spl8_92
<=> e0 = op(e1,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_92])]) ).
fof(f11609,plain,
( e1 = e2
| e0 = e1
| e1 = e3
| e1 = op(e3,e3)
| ~ spl8_92
| ~ spl8_98
| ~ spl8_121 ),
inference(forward_demodulation,[],[f11136,f815]) ).
fof(f11136,plain,
( e0 = e1
| e1 = e3
| e1 = op(e3,e3)
| e1 = op(e0,e3)
| ~ spl8_92
| ~ spl8_121 ),
inference(forward_demodulation,[],[f7894,f773]) ).
fof(f773,plain,
( e0 = op(e1,e3)
| ~ spl8_92 ),
inference(avatar_component_clause,[],[f771]) ).
fof(f7894,plain,
( e1 = e3
| e1 = op(e3,e3)
| e1 = op(e1,e3)
| e1 = op(e0,e3)
| ~ spl8_121 ),
inference(forward_demodulation,[],[f152,f2436]) ).
fof(f11685,plain,
( spl8_96
| spl8_6
| spl8_2
| spl8_4
| ~ spl8_8
| ~ spl8_94
| ~ spl8_125 ),
inference(avatar_split_clause,[],[f11580,f3692,f791,f288,f269,f259,f279,f805]) ).
fof(f11580,plain,
( e1 = e2
| e0 = e2
| e2 = e3
| e2 = op(e0,e1)
| ~ spl8_8
| ~ spl8_94
| ~ spl8_125 ),
inference(forward_demodulation,[],[f10362,f3694]) ).
fof(f10362,plain,
( e0 = e2
| e2 = e3
| e2 = op(e2,e1)
| e2 = op(e0,e1)
| ~ spl8_8
| ~ spl8_94 ),
inference(forward_demodulation,[],[f5322,f793]) ).
fof(f5322,plain,
( e2 = e3
| e2 = op(e3,e1)
| e2 = op(e2,e1)
| e2 = op(e0,e1)
| ~ spl8_8 ),
inference(forward_demodulation,[],[f138,f290]) ).
fof(f138,plain,
( e2 = op(e3,e1)
| e2 = op(e2,e1)
| e2 = op(e1,e1)
| e2 = op(e0,e1) ),
inference(cnf_transformation,[],[f2]) ).
fof(f11675,plain,
( spl8_100
| spl8_6
| spl8_3
| ~ spl8_77
| ~ spl8_94
| ~ spl8_114 ),
inference(avatar_split_clause,[],[f11642,f1490,f791,f635,f264,f279,f923]) ).
fof(f11642,plain,
( e0 = e3
| e2 = e3
| e3 = op(e3,e0)
| ~ spl8_77
| ~ spl8_94
| ~ spl8_114 ),
inference(forward_demodulation,[],[f11434,f793]) ).
fof(f11434,plain,
( e2 = e3
| e3 = op(e3,e1)
| e3 = op(e3,e0)
| ~ spl8_77
| ~ spl8_114 ),
inference(duplicate_literal_removal,[],[f11433]) ).
fof(f11433,plain,
( e2 = e3
| e2 = e3
| e3 = op(e3,e1)
| e3 = op(e3,e0)
| ~ spl8_77
| ~ spl8_114 ),
inference(forward_demodulation,[],[f1976,f637]) ).
fof(f1976,plain,
( e2 = e3
| e3 = op(e3,e3)
| e3 = op(e3,e1)
| e3 = op(e3,e0)
| ~ spl8_114 ),
inference(forward_demodulation,[],[f155,f1492]) ).
fof(f11631,plain,
( spl8_79
| spl8_3
| spl8_5
| spl8_6
| ~ spl8_71
| ~ spl8_97
| ~ spl8_103 ),
inference(avatar_split_clause,[],[f11151,f1201,f809,f596,f279,f274,f264,f665]) ).
fof(f11151,plain,
( e2 = e3
| e1 = e3
| e0 = e3
| e3 = op(e3,e2)
| ~ spl8_71
| ~ spl8_97
| ~ spl8_103 ),
inference(forward_demodulation,[],[f11150,f811]) ).
fof(f11150,plain,
( e1 = e3
| e0 = e3
| e3 = op(e3,e2)
| e3 = op(e0,e2)
| ~ spl8_71
| ~ spl8_103 ),
inference(forward_demodulation,[],[f10215,f1202]) ).
fof(f10215,plain,
( e0 = e3
| e3 = op(e3,e2)
| e3 = op(e1,e2)
| e3 = op(e0,e2)
| ~ spl8_71 ),
inference(forward_demodulation,[],[f148,f598]) ).
fof(f598,plain,
( e0 = op(e2,e2)
| ~ spl8_71 ),
inference(avatar_component_clause,[],[f596]) ).
fof(f11627,plain,
( spl8_110
| spl8_6
| spl8_5
| ~ spl8_18
| ~ spl8_97
| ~ spl8_98 ),
inference(avatar_split_clause,[],[f11552,f813,f809,f333,f274,f279,f1382]) ).
fof(f11552,plain,
( e1 = e3
| e2 = e3
| e3 = op(e0,e1)
| ~ spl8_18
| ~ spl8_97
| ~ spl8_98 ),
inference(forward_demodulation,[],[f11551,f335]) ).
fof(f11551,plain,
( e2 = e3
| e3 = op(e0,e1)
| op(e0,e0) = e3
| ~ spl8_97
| ~ spl8_98 ),
inference(duplicate_literal_removal,[],[f11550]) ).
fof(f11550,plain,
( e2 = e3
| e2 = e3
| e3 = op(e0,e1)
| op(e0,e0) = e3
| ~ spl8_97
| ~ spl8_98 ),
inference(forward_demodulation,[],[f11215,f815]) ).
fof(f11215,plain,
( e2 = e3
| e3 = op(e0,e3)
| e3 = op(e0,e1)
| op(e0,e0) = e3
| ~ spl8_97 ),
inference(forward_demodulation,[],[f131,f811]) ).
fof(f11608,plain,
( spl8_121
| spl8_6
| spl8_3
| ~ spl8_77
| ~ spl8_92
| ~ spl8_98 ),
inference(avatar_split_clause,[],[f11453,f813,f771,f635,f264,f279,f2434]) ).
fof(f11453,plain,
( e0 = e3
| e2 = e3
| e3 = op(e2,e3)
| ~ spl8_77
| ~ spl8_92
| ~ spl8_98 ),
inference(forward_demodulation,[],[f11030,f773]) ).
fof(f11030,plain,
( e2 = e3
| e3 = op(e2,e3)
| e3 = op(e1,e3)
| ~ spl8_77
| ~ spl8_98 ),
inference(duplicate_literal_removal,[],[f11029]) ).
fof(f11029,plain,
( e2 = e3
| e2 = e3
| e3 = op(e2,e3)
| e3 = op(e1,e3)
| ~ spl8_77
| ~ spl8_98 ),
inference(forward_demodulation,[],[f2129,f637]) ).
fof(f2129,plain,
( e2 = e3
| e3 = op(e3,e3)
| e3 = op(e2,e3)
| e3 = op(e1,e3)
| ~ spl8_98 ),
inference(forward_demodulation,[],[f156,f815]) ).
fof(f11526,plain,
( spl8_107
| spl8_4
| spl8_2
| ~ spl8_20
| ~ spl8_92
| ~ spl8_103 ),
inference(avatar_split_clause,[],[f11382,f1201,f771,f342,f259,f269,f1356]) ).
fof(f11382,plain,
( e0 = e2
| e1 = e2
| e2 = op(e1,e0)
| ~ spl8_20
| ~ spl8_92
| ~ spl8_103 ),
inference(duplicate_literal_removal,[],[f11381]) ).
fof(f11381,plain,
( e0 = e2
| e1 = e2
| e0 = e2
| e2 = op(e1,e0)
| ~ spl8_20
| ~ spl8_92
| ~ spl8_103 ),
inference(forward_demodulation,[],[f4084,f773]) ).
fof(f4084,plain,
( e1 = e2
| e0 = e2
| e2 = op(e1,e3)
| e2 = op(e1,e0)
| ~ spl8_20
| ~ spl8_103 ),
inference(forward_demodulation,[],[f2356,f1202]) ).
fof(f2356,plain,
( e0 = e2
| e2 = op(e1,e3)
| e2 = op(e1,e2)
| e2 = op(e1,e0)
| ~ spl8_20 ),
inference(forward_demodulation,[],[f137,f344]) ).
fof(f137,plain,
( e2 = op(e1,e3)
| e2 = op(e1,e2)
| e2 = op(e1,e1)
| e2 = op(e1,e0) ),
inference(cnf_transformation,[],[f2]) ).
fof(f11521,plain,
( spl8_100
| spl8_6
| ~ spl8_77
| ~ spl8_114
| ~ spl8_120 ),
inference(avatar_split_clause,[],[f11436,f2409,f1490,f635,f279,f923]) ).
fof(f11436,plain,
( e2 = e3
| e3 = op(e3,e0)
| ~ spl8_77
| ~ spl8_114
| ~ spl8_120 ),
inference(duplicate_literal_removal,[],[f11435]) ).
fof(f11435,plain,
( e2 = e3
| e2 = e3
| e3 = op(e3,e0)
| ~ spl8_77
| ~ spl8_114
| ~ spl8_120 ),
inference(forward_demodulation,[],[f11434,f2411]) ).
fof(f11504,plain,
( spl8_6
| ~ spl8_113
| ~ spl8_116 ),
inference(avatar_split_clause,[],[f11478,f2019,f1482,f279]) ).
fof(f11478,plain,
( e2 = e3
| ~ spl8_113
| ~ spl8_116 ),
inference(superposition,[],[f1484,f2021]) ).
fof(f11370,plain,
( spl8_6
| spl8_2
| spl8_4
| ~ spl8_18
| ~ spl8_86
| ~ spl8_123
| ~ spl8_124 ),
inference(avatar_split_clause,[],[f11286,f3514,f2607,f728,f333,f269,f259,f279]) ).
fof(f11286,plain,
( e1 = e2
| e0 = e2
| e2 = e3
| ~ spl8_18
| ~ spl8_86
| ~ spl8_123
| ~ spl8_124 ),
inference(duplicate_literal_removal,[],[f11285]) ).
fof(f11285,plain,
( e1 = e2
| e0 = e2
| e2 = e3
| e1 = e2
| ~ spl8_18
| ~ spl8_86
| ~ spl8_123
| ~ spl8_124 ),
inference(forward_demodulation,[],[f10988,f335]) ).
fof(f10988,plain,
( e0 = e2
| e2 = e3
| e1 = e2
| op(e0,e0) = e2
| ~ spl8_86
| ~ spl8_123
| ~ spl8_124 ),
inference(forward_demodulation,[],[f9923,f729]) ).
fof(f9923,plain,
( e2 = e3
| e1 = e2
| e2 = op(e3,e0)
| op(e0,e0) = e2
| ~ spl8_123
| ~ spl8_124 ),
inference(forward_demodulation,[],[f8203,f3516]) ).
fof(f8203,plain,
( e1 = e2
| e2 = op(e3,e0)
| e2 = op(e1,e0)
| op(e0,e0) = e2
| ~ spl8_123 ),
inference(forward_demodulation,[],[f130,f2608]) ).
fof(f2608,plain,
( e1 = op(e2,e0)
| ~ spl8_123 ),
inference(avatar_component_clause,[],[f2607]) ).
fof(f11250,plain,
( spl8_113
| spl8_4
| spl8_2
| ~ spl8_71
| ~ spl8_84
| ~ spl8_93 ),
inference(avatar_split_clause,[],[f11233,f787,f716,f596,f259,f269,f1482]) ).
fof(f11233,plain,
( e0 = e2
| e1 = e2
| e2 = op(e2,e0)
| ~ spl8_71
| ~ spl8_84
| ~ spl8_93 ),
inference(duplicate_literal_removal,[],[f11232]) ).
fof(f11232,plain,
( e0 = e2
| e0 = e2
| e1 = e2
| e2 = op(e2,e0)
| ~ spl8_71
| ~ spl8_84
| ~ spl8_93 ),
inference(forward_demodulation,[],[f11231,f789]) ).
fof(f11231,plain,
( e0 = e2
| e1 = e2
| e2 = op(e2,e1)
| e2 = op(e2,e0)
| ~ spl8_71
| ~ spl8_84 ),
inference(forward_demodulation,[],[f3418,f598]) ).
fof(f11243,plain,
( spl8_116
| spl8_5
| spl8_3
| ~ spl8_71
| ~ spl8_84
| ~ spl8_93 ),
inference(avatar_split_clause,[],[f11228,f787,f716,f596,f264,f274,f2019]) ).
fof(f11228,plain,
( e0 = e3
| e1 = e3
| e3 = op(e2,e0)
| ~ spl8_71
| ~ spl8_84
| ~ spl8_93 ),
inference(duplicate_literal_removal,[],[f11227]) ).
fof(f11227,plain,
( e0 = e3
| e0 = e3
| e1 = e3
| e3 = op(e2,e0)
| ~ spl8_71
| ~ spl8_84
| ~ spl8_93 ),
inference(forward_demodulation,[],[f11226,f789]) ).
fof(f11226,plain,
( e0 = e3
| e1 = e3
| e3 = op(e2,e1)
| e3 = op(e2,e0)
| ~ spl8_71
| ~ spl8_84 ),
inference(forward_demodulation,[],[f4435,f598]) ).
fof(f4435,plain,
( e1 = e3
| e3 = op(e2,e2)
| e3 = op(e2,e1)
| e3 = op(e2,e0)
| ~ spl8_84 ),
inference(forward_demodulation,[],[f147,f717]) ).
fof(f11214,plain,
( spl8_124
| spl8_5
| spl8_3
| ~ spl8_18
| ~ spl8_86
| ~ spl8_123 ),
inference(avatar_split_clause,[],[f11122,f2607,f728,f333,f264,f274,f3514]) ).
fof(f11122,plain,
( e0 = e3
| e1 = e3
| e3 = op(e1,e0)
| ~ spl8_18
| ~ spl8_86
| ~ spl8_123 ),
inference(forward_demodulation,[],[f10968,f729]) ).
fof(f10968,plain,
( e1 = e3
| e3 = op(e3,e0)
| e3 = op(e1,e0)
| ~ spl8_18
| ~ spl8_123 ),
inference(duplicate_literal_removal,[],[f9965]) ).
fof(f9965,plain,
( e1 = e3
| e1 = e3
| e3 = op(e3,e0)
| e3 = op(e1,e0)
| ~ spl8_18
| ~ spl8_123 ),
inference(forward_demodulation,[],[f9964,f335]) ).
fof(f9964,plain,
( e1 = e3
| e3 = op(e3,e0)
| e3 = op(e1,e0)
| op(e0,e0) = e3
| ~ spl8_123 ),
inference(forward_demodulation,[],[f132,f2608]) ).
fof(f11196,plain,
( ~ spl8_107
| ~ spl8_18
| ~ spl8_110 ),
inference(avatar_split_clause,[],[f11118,f1382,f333,f1356]) ).
fof(f11118,plain,
( e2 != op(e1,e0)
| ~ spl8_18
| ~ spl8_110 ),
inference(trivial_inequality_removal,[],[f11117]) ).
fof(f11117,plain,
( e3 != e3
| e2 != op(e1,e0)
| ~ spl8_18
| ~ spl8_110 ),
inference(forward_demodulation,[],[f10581,f1384]) ).
fof(f10581,plain,
( e2 != op(e1,e0)
| e3 != op(e0,e1)
| ~ spl8_18 ),
inference(trivial_inequality_removal,[],[f10580]) ).
fof(f10580,plain,
( e1 != e1
| e2 != op(e1,e0)
| e3 != op(e0,e1)
| ~ spl8_18 ),
inference(forward_demodulation,[],[f252,f335]) ).
fof(f252,plain,
( op(e0,e0) != e1
| e2 != op(e1,e0)
| e3 != op(e0,e1) ),
inference(inner_rewriting,[],[f228]) ).
fof(f228,plain,
( op(e0,e0) != e1
| e2 != op(op(e0,e0),e0)
| e3 != op(e0,op(e0,e0)) ),
inference(cnf_transformation,[],[f53]) ).
fof(f53,plain,
( op(e0,e0) != e1
| e2 != op(op(e0,e0),e0)
| e3 != op(e0,op(e0,e0)) ),
inference(ennf_transformation,[],[f29]) ).
fof(f29,axiom,
~ ( op(e0,e0) = e1
& e2 = op(op(e0,e0),e0)
& e3 = op(e0,op(e0,e0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax29) ).
fof(f11098,plain,
( spl8_5
| spl8_3
| spl8_6
| ~ spl8_77
| ~ spl8_84
| ~ spl8_92
| ~ spl8_98 ),
inference(avatar_split_clause,[],[f11046,f813,f771,f716,f635,f279,f264,f274]) ).
fof(f11046,plain,
( e2 = e3
| e0 = e3
| e1 = e3
| ~ spl8_77
| ~ spl8_84
| ~ spl8_92
| ~ spl8_98 ),
inference(duplicate_literal_removal,[],[f11045]) ).
fof(f11045,plain,
( e2 = e3
| e0 = e3
| e2 = e3
| e1 = e3
| ~ spl8_77
| ~ spl8_84
| ~ spl8_92
| ~ spl8_98 ),
inference(forward_demodulation,[],[f11044,f815]) ).
fof(f11044,plain,
( e0 = e3
| e2 = e3
| e1 = e3
| e3 = op(e0,e3)
| ~ spl8_77
| ~ spl8_84
| ~ spl8_92 ),
inference(forward_demodulation,[],[f7564,f773]) ).
fof(f7564,plain,
( e2 = e3
| e1 = e3
| e3 = op(e1,e3)
| e3 = op(e0,e3)
| ~ spl8_77
| ~ spl8_84 ),
inference(forward_demodulation,[],[f7460,f637]) ).
fof(f11090,plain,
( spl8_1
| ~ spl8_95
| ~ spl8_123 ),
inference(avatar_split_clause,[],[f11085,f2607,f798,f254]) ).
fof(f11085,plain,
( e0 = e1
| ~ spl8_95
| ~ spl8_123 ),
inference(superposition,[],[f2608,f800]) ).
fof(f11021,plain,
( spl8_2
| ~ spl8_97
| ~ spl8_112 ),
inference(avatar_split_clause,[],[f7536,f1413,f809,f259]) ).
fof(f7536,plain,
( e0 = e2
| ~ spl8_97
| ~ spl8_112 ),
inference(superposition,[],[f1415,f811]) ).
fof(f10956,plain,
( spl8_13
| spl8_11
| spl8_76
| ~ spl8_79 ),
inference(avatar_split_clause,[],[f10540,f665,f631,f302,f311]) ).
fof(f311,plain,
( spl8_13
<=> sP4 ),
introduced(avatar_definition,[new_symbols(naming,[spl8_13])]) ).
fof(f302,plain,
( spl8_11
<=> sP5 ),
introduced(avatar_definition,[new_symbols(naming,[spl8_11])]) ).
fof(f631,plain,
( spl8_76
<=> e2 = op(e2,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_76])]) ).
fof(f10540,plain,
( e2 = op(e2,e2)
| sP5
| sP4
| ~ spl8_79 ),
inference(trivial_inequality_removal,[],[f6731]) ).
fof(f6731,plain,
( e3 != e3
| e2 = op(e2,e2)
| sP5
| sP4
| ~ spl8_79 ),
inference(forward_demodulation,[],[f199,f666]) ).
fof(f666,plain,
( e3 = op(e3,e2)
| ~ spl8_79 ),
inference(avatar_component_clause,[],[f665]) ).
fof(f199,plain,
( e3 != op(e3,e2)
| e2 = op(e2,e2)
| sP5
| sP4 ),
inference(cnf_transformation,[],[f62]) ).
fof(f62,plain,
( ( ( e3 != op(e3,e3)
& e3 = op(e3,e3) )
| ( e2 != op(e2,e3)
& e3 = op(e2,e2) )
| sP7
| sP6 )
& ( ( e3 != op(e3,e2)
& e2 = op(e3,e3) )
| ( e2 != op(e2,e2)
& e2 = op(e2,e2) )
| sP5
| sP4 )
& ( ( e3 != op(e3,e1)
& e1 = op(e3,e3) )
| ( e2 != op(e2,e1)
& e1 = op(e2,e2) )
| sP3
| sP2 )
& ( ( e3 != op(e3,e0)
& e0 = op(e3,e3) )
| ( e2 != op(e2,e0)
& e0 = op(e2,e2) )
| sP1
| sP0 ) ),
inference(definition_folding,[],[f5,f61,f60,f59,f58,f57,f56,f55,f54]) ).
fof(f54,plain,
( ( e0 != op(e0,e0)
& e0 = op(e0,e0) )
| ~ sP0 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
fof(f55,plain,
( ( e1 != op(e1,e0)
& e0 = op(e1,e1) )
| ~ sP1 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])]) ).
fof(f56,plain,
( ( e0 != op(e0,e1)
& op(e0,e0) = e1 )
| ~ sP2 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP2])]) ).
fof(f57,plain,
( ( e1 != op(e1,e1)
& e1 = op(e1,e1) )
| ~ sP3 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP3])]) ).
fof(f58,plain,
( ( e0 != op(e0,e2)
& op(e0,e0) = e2 )
| ~ sP4 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP4])]) ).
fof(f59,plain,
( ( e1 != op(e1,e2)
& e2 = op(e1,e1) )
| ~ sP5 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP5])]) ).
fof(f60,plain,
( ( e0 != op(e0,e3)
& op(e0,e0) = e3 )
| ~ sP6 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP6])]) ).
fof(f61,plain,
( ( e1 != op(e1,e3)
& e3 = op(e1,e1) )
| ~ sP7 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP7])]) ).
fof(f5,axiom,
( ( ( e3 != op(e3,e3)
& e3 = op(e3,e3) )
| ( e2 != op(e2,e3)
& e3 = op(e2,e2) )
| ( e1 != op(e1,e3)
& e3 = op(e1,e1) )
| ( e0 != op(e0,e3)
& op(e0,e0) = e3 ) )
& ( ( e3 != op(e3,e2)
& e2 = op(e3,e3) )
| ( e2 != op(e2,e2)
& e2 = op(e2,e2) )
| ( e1 != op(e1,e2)
& e2 = op(e1,e1) )
| ( e0 != op(e0,e2)
& op(e0,e0) = e2 ) )
& ( ( e3 != op(e3,e1)
& e1 = op(e3,e3) )
| ( e2 != op(e2,e1)
& e1 = op(e2,e2) )
| ( e1 != op(e1,e1)
& e1 = op(e1,e1) )
| ( e0 != op(e0,e1)
& op(e0,e0) = e1 ) )
& ( ( e3 != op(e3,e0)
& e0 = op(e3,e3) )
| ( e2 != op(e2,e0)
& e0 = op(e2,e2) )
| ( e1 != op(e1,e0)
& e0 = op(e1,e1) )
| ( e0 != op(e0,e0)
& e0 = op(e0,e0) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax5) ).
fof(f10945,plain,
( spl8_6
| spl8_3
| ~ spl8_77
| ~ spl8_87
| ~ spl8_92
| ~ spl8_98 ),
inference(avatar_split_clause,[],[f10835,f813,f771,f733,f635,f264,f279]) ).
fof(f10835,plain,
( e0 = e3
| e2 = e3
| ~ spl8_77
| ~ spl8_87
| ~ spl8_92
| ~ spl8_98 ),
inference(duplicate_literal_removal,[],[f10834]) ).
fof(f10834,plain,
( e0 = e3
| e2 = e3
| e0 = e3
| ~ spl8_77
| ~ spl8_87
| ~ spl8_92
| ~ spl8_98 ),
inference(forward_demodulation,[],[f10759,f734]) ).
fof(f10759,plain,
( e2 = e3
| e0 = e3
| e3 = op(e2,e3)
| ~ spl8_77
| ~ spl8_92
| ~ spl8_98 ),
inference(duplicate_literal_removal,[],[f10758]) ).
fof(f10758,plain,
( e2 = e3
| e0 = e3
| e2 = e3
| e3 = op(e2,e3)
| ~ spl8_77
| ~ spl8_92
| ~ spl8_98 ),
inference(forward_demodulation,[],[f10757,f815]) ).
fof(f10757,plain,
( e0 = e3
| e2 = e3
| e3 = op(e2,e3)
| e3 = op(e0,e3)
| ~ spl8_77
| ~ spl8_92 ),
inference(forward_demodulation,[],[f7611,f773]) ).
fof(f7611,plain,
( e2 = e3
| e3 = op(e2,e3)
| e3 = op(e1,e3)
| e3 = op(e0,e3)
| ~ spl8_77 ),
inference(forward_demodulation,[],[f156,f637]) ).
fof(f10868,plain,
( spl8_1
| ~ spl8_94
| ~ spl8_104 ),
inference(avatar_split_clause,[],[f10810,f1207,f791,f254]) ).
fof(f10810,plain,
( e0 = e1
| ~ spl8_94
| ~ spl8_104 ),
inference(forward_demodulation,[],[f1209,f793]) ).
fof(f10816,plain,
( spl8_1
| ~ spl8_20
| ~ spl8_105
| ~ spl8_113
| ~ spl8_123 ),
inference(avatar_split_clause,[],[f10802,f2607,f1482,f1311,f342,f254]) ).
fof(f10802,plain,
( e0 = e1
| ~ spl8_20
| ~ spl8_105
| ~ spl8_113
| ~ spl8_123 ),
inference(forward_demodulation,[],[f10801,f344]) ).
fof(f10801,plain,
( e1 = op(e1,e1)
| ~ spl8_105
| ~ spl8_113
| ~ spl8_123 ),
inference(forward_demodulation,[],[f1312,f9502]) ).
fof(f9502,plain,
( e1 = e2
| ~ spl8_113
| ~ spl8_123 ),
inference(superposition,[],[f2608,f1484]) ).
fof(f1312,plain,
( e2 = op(e2,e1)
| ~ spl8_105 ),
inference(avatar_component_clause,[],[f1311]) ).
fof(f10722,plain,
( spl8_5
| ~ spl8_18
| ~ spl8_80
| ~ spl8_94
| ~ spl8_120 ),
inference(avatar_split_clause,[],[f10657,f2409,f791,f670,f333,f274]) ).
fof(f10657,plain,
( e1 = e3
| ~ spl8_18
| ~ spl8_80
| ~ spl8_94
| ~ spl8_120 ),
inference(forward_demodulation,[],[f10646,f335]) ).
fof(f10646,plain,
( op(e0,e0) = e3
| ~ spl8_80
| ~ spl8_94
| ~ spl8_120 ),
inference(forward_demodulation,[],[f672,f10152]) ).
fof(f10152,plain,
( e0 = e2
| ~ spl8_94
| ~ spl8_120 ),
inference(superposition,[],[f2411,f793]) ).
fof(f10650,plain,
( spl8_3
| ~ spl8_79
| ~ spl8_86
| ~ spl8_97
| ~ spl8_112 ),
inference(avatar_split_clause,[],[f10633,f1413,f809,f728,f665,f264]) ).
fof(f10633,plain,
( e0 = e3
| ~ spl8_79
| ~ spl8_86
| ~ spl8_97
| ~ spl8_112 ),
inference(forward_demodulation,[],[f8010,f729]) ).
fof(f8010,plain,
( e3 = op(e3,e0)
| ~ spl8_79
| ~ spl8_97
| ~ spl8_112 ),
inference(forward_demodulation,[],[f666,f7536]) ).
fof(f10555,plain,
( spl8_13
| spl8_11
| spl8_2
| ~ spl8_71
| ~ spl8_79 ),
inference(avatar_split_clause,[],[f10542,f665,f596,f259,f302,f311]) ).
fof(f10542,plain,
( e0 = e2
| sP5
| sP4
| ~ spl8_71
| ~ spl8_79 ),
inference(forward_demodulation,[],[f7926,f598]) ).
fof(f7926,plain,
( e2 = op(e2,e2)
| sP5
| sP4
| ~ spl8_79 ),
inference(trivial_inequality_removal,[],[f6731]) ).
fof(f10539,plain,
( spl8_79
| spl8_6
| spl8_3
| ~ spl8_77
| ~ spl8_86
| ~ spl8_94 ),
inference(avatar_split_clause,[],[f10461,f791,f728,f635,f264,f279,f665]) ).
fof(f10461,plain,
( e0 = e3
| e2 = e3
| e3 = op(e3,e2)
| ~ spl8_77
| ~ spl8_86
| ~ spl8_94 ),
inference(duplicate_literal_removal,[],[f10460]) ).
fof(f10460,plain,
( e0 = e3
| e0 = e3
| e2 = e3
| e3 = op(e3,e2)
| ~ spl8_77
| ~ spl8_86
| ~ spl8_94 ),
inference(forward_demodulation,[],[f7666,f793]) ).
fof(f7666,plain,
( e0 = e3
| e2 = e3
| e3 = op(e3,e2)
| e3 = op(e3,e1)
| ~ spl8_77
| ~ spl8_86 ),
inference(forward_demodulation,[],[f7597,f729]) ).
fof(f10504,plain,
( spl8_21
| spl8_19
| spl8_2
| ~ spl8_77
| ~ spl8_113 ),
inference(avatar_split_clause,[],[f10472,f1482,f635,f259,f338,f347]) ).
fof(f347,plain,
( spl8_21
<=> sP0 ),
introduced(avatar_definition,[new_symbols(naming,[spl8_21])]) ).
fof(f338,plain,
( spl8_19
<=> sP1 ),
introduced(avatar_definition,[new_symbols(naming,[spl8_19])]) ).
fof(f10472,plain,
( e0 = e2
| sP1
| sP0
| ~ spl8_77
| ~ spl8_113 ),
inference(forward_demodulation,[],[f9888,f637]) ).
fof(f9888,plain,
( e0 = op(e3,e3)
| sP1
| sP0
| ~ spl8_113 ),
inference(trivial_inequality_removal,[],[f1728]) ).
fof(f1728,plain,
( e2 != e2
| e0 = op(e3,e3)
| sP1
| sP0
| ~ spl8_113 ),
inference(forward_demodulation,[],[f190,f1484]) ).
fof(f190,plain,
( e0 = op(e3,e3)
| e2 != op(e2,e0)
| sP1
| sP0 ),
inference(cnf_transformation,[],[f62]) ).
fof(f10467,plain,
( spl8_113
| spl8_2
| spl8_4
| ~ spl8_18
| ~ spl8_73
| ~ spl8_86 ),
inference(avatar_split_clause,[],[f10457,f728,f610,f333,f269,f259,f1482]) ).
fof(f10457,plain,
( e1 = e2
| e0 = e2
| e2 = op(e2,e0)
| ~ spl8_18
| ~ spl8_73
| ~ spl8_86 ),
inference(duplicate_literal_removal,[],[f10456]) ).
fof(f10456,plain,
( e1 = e2
| e1 = e2
| e0 = e2
| e2 = op(e2,e0)
| ~ spl8_18
| ~ spl8_73
| ~ spl8_86 ),
inference(forward_demodulation,[],[f10455,f335]) ).
fof(f10455,plain,
( e1 = e2
| e0 = e2
| e2 = op(e2,e0)
| op(e0,e0) = e2
| ~ spl8_73
| ~ spl8_86 ),
inference(forward_demodulation,[],[f7885,f611]) ).
fof(f611,plain,
( e1 = op(e1,e0)
| ~ spl8_73 ),
inference(avatar_component_clause,[],[f610]) ).
fof(f10451,plain,
( spl8_6
| spl8_3
| spl8_5
| ~ spl8_18
| ~ spl8_73
| ~ spl8_95
| ~ spl8_106 ),
inference(avatar_split_clause,[],[f10436,f1324,f798,f610,f333,f274,f264,f279]) ).
fof(f1324,plain,
( spl8_106
<=> e2 = op(e3,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_106])]) ).
fof(f10436,plain,
( e1 = e3
| e0 = e3
| e2 = e3
| ~ spl8_18
| ~ spl8_73
| ~ spl8_95
| ~ spl8_106 ),
inference(duplicate_literal_removal,[],[f10435]) ).
fof(f10435,plain,
( e1 = e3
| e1 = e3
| e0 = e3
| e2 = e3
| ~ spl8_18
| ~ spl8_73
| ~ spl8_95
| ~ spl8_106 ),
inference(forward_demodulation,[],[f10434,f335]) ).
fof(f10434,plain,
( e1 = e3
| e0 = e3
| e2 = e3
| op(e0,e0) = e3
| ~ spl8_73
| ~ spl8_95
| ~ spl8_106 ),
inference(forward_demodulation,[],[f10433,f611]) ).
fof(f10433,plain,
( e0 = e3
| e2 = e3
| e3 = op(e1,e0)
| op(e0,e0) = e3
| ~ spl8_95
| ~ spl8_106 ),
inference(forward_demodulation,[],[f9960,f800]) ).
fof(f9960,plain,
( e2 = e3
| e3 = op(e2,e0)
| e3 = op(e1,e0)
| op(e0,e0) = e3
| ~ spl8_106 ),
inference(forward_demodulation,[],[f132,f1326]) ).
fof(f1326,plain,
( e2 = op(e3,e0)
| ~ spl8_106 ),
inference(avatar_component_clause,[],[f1324]) ).
fof(f10419,plain,
( spl8_106
| spl8_2
| spl8_4
| ~ spl8_18
| ~ spl8_73
| ~ spl8_95 ),
inference(avatar_split_clause,[],[f9675,f798,f610,f333,f269,f259,f1324]) ).
fof(f9675,plain,
( e1 = e2
| e0 = e2
| e2 = op(e3,e0)
| ~ spl8_18
| ~ spl8_73
| ~ spl8_95 ),
inference(duplicate_literal_removal,[],[f9674]) ).
fof(f9674,plain,
( e1 = e2
| e1 = e2
| e0 = e2
| e2 = op(e3,e0)
| ~ spl8_18
| ~ spl8_73
| ~ spl8_95 ),
inference(forward_demodulation,[],[f9633,f335]) ).
fof(f9633,plain,
( e1 = e2
| e0 = e2
| e2 = op(e3,e0)
| op(e0,e0) = e2
| ~ spl8_73
| ~ spl8_95 ),
inference(forward_demodulation,[],[f1172,f611]) ).
fof(f10402,plain,
( spl8_95
| spl8_86
| spl8_1
| ~ spl8_18
| ~ spl8_73 ),
inference(avatar_split_clause,[],[f9611,f610,f333,f254,f728,f798]) ).
fof(f9611,plain,
( e0 = e1
| e0 = op(e3,e0)
| e0 = op(e2,e0)
| ~ spl8_18
| ~ spl8_73 ),
inference(duplicate_literal_removal,[],[f9610]) ).
fof(f9610,plain,
( e0 = e1
| e0 = e1
| e0 = op(e3,e0)
| e0 = op(e2,e0)
| ~ spl8_18
| ~ spl8_73 ),
inference(forward_demodulation,[],[f778,f611]) ).
fof(f778,plain,
( e0 = e1
| e0 = op(e3,e0)
| e0 = op(e2,e0)
| e0 = op(e1,e0)
| ~ spl8_18 ),
inference(forward_demodulation,[],[f126,f335]) ).
fof(f10395,plain,
( spl8_88
| spl8_4
| spl8_1
| ~ spl8_71
| ~ spl8_102
| ~ spl8_112 ),
inference(avatar_split_clause,[],[f10359,f1413,f1058,f596,f254,f269,f737]) ).
fof(f10359,plain,
( e0 = e1
| e1 = e2
| e1 = op(e3,e2)
| ~ spl8_71
| ~ spl8_102
| ~ spl8_112 ),
inference(duplicate_literal_removal,[],[f10358]) ).
fof(f10358,plain,
( e0 = e1
| e0 = e1
| e1 = e2
| e1 = op(e3,e2)
| ~ spl8_71
| ~ spl8_102
| ~ spl8_112 ),
inference(forward_demodulation,[],[f5583,f1415]) ).
fof(f5583,plain,
( e0 = e1
| e1 = e2
| e1 = op(e3,e2)
| e1 = op(e0,e2)
| ~ spl8_71
| ~ spl8_102 ),
inference(forward_demodulation,[],[f4433,f598]) ).
fof(f4433,plain,
( e1 = e2
| e1 = op(e3,e2)
| e1 = op(e2,e2)
| e1 = op(e0,e2)
| ~ spl8_102 ),
inference(forward_demodulation,[],[f144,f1060]) ).
fof(f1060,plain,
( e2 = op(e1,e2)
| ~ spl8_102 ),
inference(avatar_component_clause,[],[f1058]) ).
fof(f10316,plain,
( spl8_88
| spl8_5
| spl8_1
| ~ spl8_71
| ~ spl8_112
| ~ spl8_126 ),
inference(avatar_split_clause,[],[f10306,f3732,f1413,f596,f254,f274,f737]) ).
fof(f10306,plain,
( e0 = e1
| e1 = e3
| e1 = op(e3,e2)
| ~ spl8_71
| ~ spl8_112
| ~ spl8_126 ),
inference(duplicate_literal_removal,[],[f10305]) ).
fof(f10305,plain,
( e0 = e1
| e1 = e3
| e0 = e1
| e1 = op(e3,e2)
| ~ spl8_71
| ~ spl8_112
| ~ spl8_126 ),
inference(forward_demodulation,[],[f10093,f1415]) ).
fof(f10093,plain,
( e1 = e3
| e0 = e1
| e1 = op(e3,e2)
| e1 = op(e0,e2)
| ~ spl8_71
| ~ spl8_126 ),
inference(forward_demodulation,[],[f2550,f3734]) ).
fof(f3734,plain,
( e3 = op(e1,e2)
| ~ spl8_126 ),
inference(avatar_component_clause,[],[f3732]) ).
fof(f2550,plain,
( e0 = e1
| e1 = op(e3,e2)
| e1 = op(e1,e2)
| e1 = op(e0,e2)
| ~ spl8_71 ),
inference(forward_demodulation,[],[f144,f598]) ).
fof(f10300,plain,
( spl8_126
| spl8_6
| spl8_3
| ~ spl8_71
| ~ spl8_112
| ~ spl8_114 ),
inference(avatar_split_clause,[],[f10278,f1490,f1413,f596,f264,f279,f3732]) ).
fof(f10278,plain,
( e0 = e3
| e2 = e3
| e3 = op(e1,e2)
| ~ spl8_71
| ~ spl8_112
| ~ spl8_114 ),
inference(duplicate_literal_removal,[],[f10277]) ).
fof(f10277,plain,
( e0 = e3
| e0 = e3
| e2 = e3
| e3 = op(e1,e2)
| ~ spl8_71
| ~ spl8_112
| ~ spl8_114 ),
inference(forward_demodulation,[],[f10276,f1415]) ).
fof(f10276,plain,
( e0 = e3
| e2 = e3
| e3 = op(e1,e2)
| e3 = op(e0,e2)
| ~ spl8_71
| ~ spl8_114 ),
inference(forward_demodulation,[],[f6141,f598]) ).
fof(f6141,plain,
( e2 = e3
| e3 = op(e2,e2)
| e3 = op(e1,e2)
| e3 = op(e0,e2)
| ~ spl8_114 ),
inference(forward_demodulation,[],[f148,f1492]) ).
fof(f10266,plain,
( spl8_102
| spl8_114
| spl8_2
| ~ spl8_71
| ~ spl8_112 ),
inference(avatar_split_clause,[],[f10214,f1413,f596,f259,f1490,f1058]) ).
fof(f10214,plain,
( e0 = e2
| e2 = op(e3,e2)
| e2 = op(e1,e2)
| ~ spl8_71
| ~ spl8_112 ),
inference(duplicate_literal_removal,[],[f10213]) ).
fof(f10213,plain,
( e0 = e2
| e0 = e2
| e2 = op(e3,e2)
| e2 = op(e1,e2)
| ~ spl8_71
| ~ spl8_112 ),
inference(forward_demodulation,[],[f10109,f1415]) ).
fof(f10109,plain,
( e0 = e2
| e2 = op(e3,e2)
| e2 = op(e1,e2)
| e2 = op(e0,e2)
| ~ spl8_71 ),
inference(forward_demodulation,[],[f146,f598]) ).
fof(f10253,plain,
( spl8_86
| spl8_1
| spl8_3
| ~ spl8_10
| ~ spl8_73
| ~ spl8_123 ),
inference(avatar_split_clause,[],[f10229,f2607,f610,f297,f264,f254,f728]) ).
fof(f10229,plain,
( e0 = e3
| e0 = e1
| e0 = op(e3,e0)
| ~ spl8_10
| ~ spl8_73
| ~ spl8_123 ),
inference(forward_demodulation,[],[f10228,f299]) ).
fof(f10228,plain,
( e0 = e1
| e0 = op(e3,e0)
| e0 = op(e0,e0)
| ~ spl8_73
| ~ spl8_123 ),
inference(duplicate_literal_removal,[],[f10227]) ).
fof(f10227,plain,
( e0 = e1
| e0 = e1
| e0 = op(e3,e0)
| e0 = op(e0,e0)
| ~ spl8_73
| ~ spl8_123 ),
inference(forward_demodulation,[],[f9617,f2608]) ).
fof(f9617,plain,
( e0 = e1
| e0 = op(e3,e0)
| e0 = op(e2,e0)
| e0 = op(e0,e0)
| ~ spl8_73 ),
inference(forward_demodulation,[],[f126,f611]) ).
fof(f10197,plain,
( spl8_114
| spl8_6
| spl8_2
| ~ spl8_71
| ~ spl8_112
| ~ spl8_126 ),
inference(avatar_split_clause,[],[f10170,f3732,f1413,f596,f259,f279,f1490]) ).
fof(f10170,plain,
( e0 = e2
| e2 = e3
| e2 = op(e3,e2)
| ~ spl8_71
| ~ spl8_112
| ~ spl8_126 ),
inference(duplicate_literal_removal,[],[f10169]) ).
fof(f10169,plain,
( e0 = e2
| e2 = e3
| e0 = e2
| e2 = op(e3,e2)
| ~ spl8_71
| ~ spl8_112
| ~ spl8_126 ),
inference(forward_demodulation,[],[f10094,f1415]) ).
fof(f10094,plain,
( e2 = e3
| e0 = e2
| e2 = op(e3,e2)
| e2 = op(e0,e2)
| ~ spl8_71
| ~ spl8_126 ),
inference(forward_demodulation,[],[f2553,f3734]) ).
fof(f2553,plain,
( e0 = e2
| e2 = op(e3,e2)
| e2 = op(e1,e2)
| e2 = op(e0,e2)
| ~ spl8_71 ),
inference(forward_demodulation,[],[f146,f598]) ).
fof(f10168,plain,
( spl8_111
| spl8_5
| spl8_6
| ~ spl8_12
| ~ spl8_99
| ~ spl8_120 ),
inference(avatar_split_clause,[],[f10101,f2409,f851,f306,f279,f274,f1386]) ).
fof(f306,plain,
( spl8_12
<=> e2 = op(e1,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_12])]) ).
fof(f10101,plain,
( e2 = e3
| e1 = e3
| e3 = op(e2,e1)
| ~ spl8_12
| ~ spl8_99
| ~ spl8_120 ),
inference(duplicate_literal_removal,[],[f10100]) ).
fof(f10100,plain,
( e2 = e3
| e2 = e3
| e1 = e3
| e3 = op(e2,e1)
| ~ spl8_12
| ~ spl8_99
| ~ spl8_120 ),
inference(forward_demodulation,[],[f10030,f308]) ).
fof(f308,plain,
( e2 = op(e1,e1)
| ~ spl8_12 ),
inference(avatar_component_clause,[],[f306]) ).
fof(f10030,plain,
( e2 = e3
| e1 = e3
| e3 = op(e2,e1)
| e3 = op(e1,e1)
| ~ spl8_99
| ~ spl8_120 ),
inference(forward_demodulation,[],[f8128,f2411]) ).
fof(f8128,plain,
( e1 = e3
| e3 = op(e3,e1)
| e3 = op(e2,e1)
| e3 = op(e1,e1)
| ~ spl8_99 ),
inference(forward_demodulation,[],[f140,f853]) ).
fof(f10166,plain,
( ~ spl8_93
| ~ spl8_12
| ~ spl8_126 ),
inference(avatar_split_clause,[],[f8812,f3732,f306,f787]) ).
fof(f8812,plain,
( e0 != op(e2,e1)
| ~ spl8_12
| ~ spl8_126 ),
inference(trivial_inequality_removal,[],[f8811]) ).
fof(f8811,plain,
( e3 != e3
| e0 != op(e2,e1)
| ~ spl8_12
| ~ spl8_126 ),
inference(forward_demodulation,[],[f8810,f3734]) ).
fof(f8810,plain,
( e0 != op(e2,e1)
| e3 != op(e1,e2)
| ~ spl8_12 ),
inference(trivial_inequality_removal,[],[f8809]) ).
fof(f8809,plain,
( e2 != e2
| e0 != op(e2,e1)
| e3 != op(e1,e2)
| ~ spl8_12 ),
inference(forward_demodulation,[],[f244,f308]) ).
fof(f244,plain,
( e2 != op(e1,e1)
| e0 != op(e2,e1)
| e3 != op(e1,e2) ),
inference(inner_rewriting,[],[f220]) ).
fof(f220,plain,
( e2 != op(e1,e1)
| e0 != op(op(e1,e1),e1)
| e3 != op(e1,op(e1,e1)) ),
inference(cnf_transformation,[],[f45]) ).
fof(f45,plain,
( e2 != op(e1,e1)
| e0 != op(op(e1,e1),e1)
| e3 != op(e1,op(e1,e1)) ),
inference(ennf_transformation,[],[f25]) ).
fof(f25,axiom,
~ ( e2 = op(e1,e1)
& e0 = op(op(e1,e1),e1)
& e3 = op(e1,op(e1,e1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax25) ).
fof(f10084,plain,
( spl8_3
| ~ spl8_10
| ~ spl8_97
| ~ spl8_112 ),
inference(avatar_split_clause,[],[f10083,f1413,f809,f297,f264]) ).
fof(f10083,plain,
( e0 = e3
| ~ spl8_10
| ~ spl8_97
| ~ spl8_112 ),
inference(forward_demodulation,[],[f299,f10020]) ).
fof(f10020,plain,
( e0 = op(e0,e0)
| ~ spl8_97
| ~ spl8_112 ),
inference(forward_demodulation,[],[f1415,f7536]) ).
fof(f9970,plain,
( spl8_78
| spl8_86
| spl8_1
| ~ spl8_18
| ~ spl8_123 ),
inference(avatar_split_clause,[],[f9959,f2607,f333,f254,f728,f660]) ).
fof(f660,plain,
( spl8_78
<=> e0 = op(e1,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_78])]) ).
fof(f9959,plain,
( e0 = e1
| e0 = op(e3,e0)
| e0 = op(e1,e0)
| ~ spl8_18
| ~ spl8_123 ),
inference(duplicate_literal_removal,[],[f9958]) ).
fof(f9958,plain,
( e0 = e1
| e0 = e1
| e0 = op(e3,e0)
| e0 = op(e1,e0)
| ~ spl8_18
| ~ spl8_123 ),
inference(forward_demodulation,[],[f3405,f335]) ).
fof(f3405,plain,
( e0 = e1
| e0 = op(e3,e0)
| e0 = op(e1,e0)
| e0 = op(e0,e0)
| ~ spl8_123 ),
inference(forward_demodulation,[],[f126,f2608]) ).
fof(f9963,plain,
( spl8_124
| spl8_6
| spl8_5
| ~ spl8_18
| ~ spl8_106
| ~ spl8_123 ),
inference(avatar_split_clause,[],[f9957,f2607,f1324,f333,f274,f279,f3514]) ).
fof(f9957,plain,
( e1 = e3
| e2 = e3
| e3 = op(e1,e0)
| ~ spl8_18
| ~ spl8_106
| ~ spl8_123 ),
inference(duplicate_literal_removal,[],[f9956]) ).
fof(f9956,plain,
( e1 = e3
| e1 = e3
| e2 = e3
| e3 = op(e1,e0)
| ~ spl8_18
| ~ spl8_106
| ~ spl8_123 ),
inference(forward_demodulation,[],[f9955,f335]) ).
fof(f9955,plain,
( e1 = e3
| e2 = e3
| e3 = op(e1,e0)
| op(e0,e0) = e3
| ~ spl8_106
| ~ spl8_123 ),
inference(forward_demodulation,[],[f3394,f2608]) ).
fof(f3394,plain,
( e2 = e3
| e3 = op(e2,e0)
| e3 = op(e1,e0)
| op(e0,e0) = e3
| ~ spl8_106 ),
inference(forward_demodulation,[],[f132,f1326]) ).
fof(f9954,plain,
( spl8_86
| spl8_1
| spl8_3
| ~ spl8_18
| ~ spl8_123
| ~ spl8_124 ),
inference(avatar_split_clause,[],[f9921,f3514,f2607,f333,f264,f254,f728]) ).
fof(f9921,plain,
( e0 = e3
| e0 = e1
| e0 = op(e3,e0)
| ~ spl8_18
| ~ spl8_123
| ~ spl8_124 ),
inference(forward_demodulation,[],[f9822,f3516]) ).
fof(f9822,plain,
( e0 = e1
| e0 = op(e3,e0)
| e0 = op(e1,e0)
| ~ spl8_18
| ~ spl8_123 ),
inference(duplicate_literal_removal,[],[f9821]) ).
fof(f9821,plain,
( e0 = e1
| e0 = e1
| e0 = op(e3,e0)
| e0 = op(e1,e0)
| ~ spl8_18
| ~ spl8_123 ),
inference(forward_demodulation,[],[f7943,f335]) ).
fof(f7943,plain,
( e0 = e1
| e0 = op(e3,e0)
| e0 = op(e1,e0)
| e0 = op(e0,e0)
| ~ spl8_123 ),
inference(forward_demodulation,[],[f126,f2608]) ).
fof(f9915,plain,
( spl8_106
| spl8_114
| spl8_2
| ~ spl8_72
| ~ spl8_94 ),
inference(avatar_split_clause,[],[f9679,f791,f600,f259,f1490,f1324]) ).
fof(f9679,plain,
( e0 = e2
| e2 = op(e3,e2)
| e2 = op(e3,e0)
| ~ spl8_72
| ~ spl8_94 ),
inference(duplicate_literal_removal,[],[f9678]) ).
fof(f9678,plain,
( e0 = e2
| e0 = e2
| e2 = op(e3,e2)
| e2 = op(e3,e0)
| ~ spl8_72
| ~ spl8_94 ),
inference(forward_demodulation,[],[f9574,f793]) ).
fof(f9574,plain,
( e0 = e2
| e2 = op(e3,e2)
| e2 = op(e3,e1)
| e2 = op(e3,e0)
| ~ spl8_72 ),
inference(forward_demodulation,[],[f153,f602]) ).
fof(f602,plain,
( e0 = op(e3,e3)
| ~ spl8_72 ),
inference(avatar_component_clause,[],[f600]) ).
fof(f153,plain,
( e2 = op(e3,e3)
| e2 = op(e3,e2)
| e2 = op(e3,e1)
| e2 = op(e3,e0) ),
inference(cnf_transformation,[],[f2]) ).
fof(f9908,plain,
( spl8_124
| spl8_6
| spl8_5
| ~ spl8_18
| ~ spl8_89
| ~ spl8_113 ),
inference(avatar_split_clause,[],[f9893,f1482,f744,f333,f274,f279,f3514]) ).
fof(f744,plain,
( spl8_89
<=> e1 = op(e3,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_89])]) ).
fof(f9893,plain,
( e1 = e3
| e2 = e3
| e3 = op(e1,e0)
| ~ spl8_18
| ~ spl8_89
| ~ spl8_113 ),
inference(duplicate_literal_removal,[],[f9892]) ).
fof(f9892,plain,
( e1 = e3
| e1 = e3
| e2 = e3
| e3 = op(e1,e0)
| ~ spl8_18
| ~ spl8_89
| ~ spl8_113 ),
inference(forward_demodulation,[],[f9787,f335]) ).
fof(f9787,plain,
( e1 = e3
| e2 = e3
| e3 = op(e1,e0)
| op(e0,e0) = e3
| ~ spl8_89
| ~ spl8_113 ),
inference(forward_demodulation,[],[f3520,f745]) ).
fof(f745,plain,
( e1 = op(e3,e0)
| ~ spl8_89 ),
inference(avatar_component_clause,[],[f744]) ).
fof(f9887,plain,
( spl8_107
| spl8_4
| ~ spl8_18
| ~ spl8_89
| ~ spl8_123 ),
inference(avatar_split_clause,[],[f9864,f2607,f744,f333,f269,f1356]) ).
fof(f9864,plain,
( e1 = e2
| e2 = op(e1,e0)
| ~ spl8_18
| ~ spl8_89
| ~ spl8_123 ),
inference(duplicate_literal_removal,[],[f9863]) ).
fof(f9863,plain,
( e1 = e2
| e1 = e2
| e2 = op(e1,e0)
| ~ spl8_18
| ~ spl8_89
| ~ spl8_123 ),
inference(forward_demodulation,[],[f9862,f335]) ).
fof(f9862,plain,
( e1 = e2
| e2 = op(e1,e0)
| op(e0,e0) = e2
| ~ spl8_89
| ~ spl8_123 ),
inference(duplicate_literal_removal,[],[f9861]) ).
fof(f9861,plain,
( e1 = e2
| e1 = e2
| e2 = op(e1,e0)
| op(e0,e0) = e2
| ~ spl8_89
| ~ spl8_123 ),
inference(forward_demodulation,[],[f8203,f745]) ).
fof(f9883,plain,
( ~ spl8_72
| ~ spl8_89
| ~ spl8_98 ),
inference(avatar_split_clause,[],[f9855,f813,f744,f600]) ).
fof(f9855,plain,
( e0 != op(e3,e3)
| ~ spl8_89
| ~ spl8_98 ),
inference(trivial_inequality_removal,[],[f9854]) ).
fof(f9854,plain,
( e1 != e1
| e0 != op(e3,e3)
| ~ spl8_89
| ~ spl8_98 ),
inference(forward_demodulation,[],[f9810,f745]) ).
fof(f9810,plain,
( e0 != op(e3,e3)
| e1 != op(e3,e0)
| ~ spl8_98 ),
inference(trivial_inequality_removal,[],[f2099]) ).
fof(f2099,plain,
( e2 != e2
| e0 != op(e3,e3)
| e1 != op(e3,e0)
| ~ spl8_98 ),
inference(forward_demodulation,[],[f237,f815]) ).
fof(f237,plain,
( e0 != op(e3,e3)
| e2 != op(e0,e3)
| e1 != op(e3,e0) ),
inference(inner_rewriting,[],[f213]) ).
fof(f213,plain,
( e0 != op(e3,e3)
| e2 != op(op(e3,e3),e3)
| e1 != op(e3,op(e3,e3)) ),
inference(cnf_transformation,[],[f38]) ).
fof(f38,plain,
( e0 != op(e3,e3)
| e2 != op(op(e3,e3),e3)
| e1 != op(e3,op(e3,e3)) ),
inference(ennf_transformation,[],[f14]) ).
fof(f14,axiom,
~ ( e0 = op(e3,e3)
& e2 = op(op(e3,e3),e3)
& e1 = op(e3,op(e3,e3)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax14) ).
fof(f9853,plain,
( spl8_5
| ~ spl8_82
| ~ spl8_113
| ~ spl8_121
| ~ spl8_123 ),
inference(avatar_split_clause,[],[f9840,f2607,f2434,f1482,f707,f274]) ).
fof(f9840,plain,
( e1 = e3
| ~ spl8_82
| ~ spl8_113
| ~ spl8_121
| ~ spl8_123 ),
inference(forward_demodulation,[],[f9839,f708]) ).
fof(f9839,plain,
( e3 = op(e1,e3)
| ~ spl8_113
| ~ spl8_121
| ~ spl8_123 ),
inference(forward_demodulation,[],[f2436,f9502]) ).
fof(f9809,plain,
( spl8_98
| spl8_2
| spl8_4
| ~ spl8_72
| ~ spl8_82
| ~ spl8_84 ),
inference(avatar_split_clause,[],[f9741,f716,f707,f600,f269,f259,f813]) ).
fof(f9741,plain,
( e1 = e2
| e0 = e2
| e2 = op(e0,e3)
| ~ spl8_72
| ~ spl8_82
| ~ spl8_84 ),
inference(duplicate_literal_removal,[],[f9740]) ).
fof(f9740,plain,
( e1 = e2
| e1 = e2
| e0 = e2
| e2 = op(e0,e3)
| ~ spl8_72
| ~ spl8_82
| ~ spl8_84 ),
inference(forward_demodulation,[],[f8145,f717]) ).
fof(f8145,plain,
( e1 = e2
| e0 = e2
| e2 = op(e2,e3)
| e2 = op(e0,e3)
| ~ spl8_72
| ~ spl8_82 ),
inference(forward_demodulation,[],[f1583,f708]) ).
fof(f1583,plain,
( e0 = e2
| e2 = op(e2,e3)
| e2 = op(e1,e3)
| e2 = op(e0,e3)
| ~ spl8_72 ),
inference(forward_demodulation,[],[f154,f602]) ).
fof(f154,plain,
( e2 = op(e3,e3)
| e2 = op(e2,e3)
| e2 = op(e1,e3)
| e2 = op(e0,e3) ),
inference(cnf_transformation,[],[f2]) ).
fof(f9795,plain,
( spl8_119
| spl8_3
| spl8_5
| ~ spl8_72
| ~ spl8_82
| ~ spl8_84 ),
inference(avatar_split_clause,[],[f9737,f716,f707,f600,f274,f264,f2077]) ).
fof(f9737,plain,
( e1 = e3
| e0 = e3
| e3 = op(e0,e3)
| ~ spl8_72
| ~ spl8_82
| ~ spl8_84 ),
inference(duplicate_literal_removal,[],[f9736]) ).
fof(f9736,plain,
( e1 = e3
| e1 = e3
| e0 = e3
| e3 = op(e0,e3)
| ~ spl8_72
| ~ spl8_82
| ~ spl8_84 ),
inference(forward_demodulation,[],[f8701,f717]) ).
fof(f8701,plain,
( e1 = e3
| e0 = e3
| e3 = op(e2,e3)
| e3 = op(e0,e3)
| ~ spl8_72
| ~ spl8_82 ),
inference(forward_demodulation,[],[f8420,f708]) ).
fof(f8420,plain,
( e0 = e3
| e3 = op(e2,e3)
| e3 = op(e1,e3)
| e3 = op(e0,e3)
| ~ spl8_72 ),
inference(forward_demodulation,[],[f156,f602]) ).
fof(f9771,plain,
( spl8_3
| spl8_5
| spl8_6
| ~ spl8_12
| ~ spl8_82
| ~ spl8_91
| ~ spl8_107 ),
inference(avatar_split_clause,[],[f9766,f1356,f767,f707,f306,f279,f274,f264]) ).
fof(f9766,plain,
( e2 = e3
| e1 = e3
| e0 = e3
| ~ spl8_12
| ~ spl8_82
| ~ spl8_91
| ~ spl8_107 ),
inference(duplicate_literal_removal,[],[f9765]) ).
fof(f9765,plain,
( e2 = e3
| e1 = e3
| e2 = e3
| e0 = e3
| ~ spl8_12
| ~ spl8_82
| ~ spl8_91
| ~ spl8_107 ),
inference(forward_demodulation,[],[f9764,f308]) ).
fof(f9764,plain,
( e1 = e3
| e2 = e3
| e0 = e3
| e3 = op(e1,e1)
| ~ spl8_82
| ~ spl8_91
| ~ spl8_107 ),
inference(forward_demodulation,[],[f7975,f708]) ).
fof(f7975,plain,
( e2 = e3
| e0 = e3
| e3 = op(e1,e3)
| e3 = op(e1,e1)
| ~ spl8_91
| ~ spl8_107 ),
inference(forward_demodulation,[],[f868,f1358]) ).
fof(f868,plain,
( e0 = e3
| e3 = op(e1,e3)
| e3 = op(e1,e1)
| e3 = op(e1,e0)
| ~ spl8_91 ),
inference(forward_demodulation,[],[f139,f769]) ).
fof(f139,plain,
( e3 = op(e1,e3)
| e3 = op(e1,e2)
| e3 = op(e1,e1)
| e3 = op(e1,e0) ),
inference(cnf_transformation,[],[f2]) ).
fof(f9763,plain,
( spl8_107
| spl8_2
| spl8_4
| ~ spl8_18
| ~ spl8_89
| ~ spl8_95 ),
inference(avatar_split_clause,[],[f9713,f798,f744,f333,f269,f259,f1356]) ).
fof(f9713,plain,
( e1 = e2
| e0 = e2
| e2 = op(e1,e0)
| ~ spl8_18
| ~ spl8_89
| ~ spl8_95 ),
inference(duplicate_literal_removal,[],[f9712]) ).
fof(f9712,plain,
( e1 = e2
| e1 = e2
| e0 = e2
| e2 = op(e1,e0)
| ~ spl8_18
| ~ spl8_89
| ~ spl8_95 ),
inference(forward_demodulation,[],[f1328,f335]) ).
fof(f1328,plain,
( e1 = e2
| e0 = e2
| e2 = op(e1,e0)
| op(e0,e0) = e2
| ~ spl8_89
| ~ spl8_95 ),
inference(forward_demodulation,[],[f1172,f745]) ).
fof(f9753,plain,
( spl8_110
| spl8_3
| spl8_6
| ~ spl8_12
| ~ spl8_94
| ~ spl8_105 ),
inference(avatar_split_clause,[],[f9628,f1311,f791,f306,f279,f264,f1382]) ).
fof(f9628,plain,
( e2 = e3
| e0 = e3
| e3 = op(e0,e1)
| ~ spl8_12
| ~ spl8_94
| ~ spl8_105 ),
inference(duplicate_literal_removal,[],[f9627]) ).
fof(f9627,plain,
( e2 = e3
| e0 = e3
| e2 = e3
| e3 = op(e0,e1)
| ~ spl8_12
| ~ spl8_94
| ~ spl8_105 ),
inference(forward_demodulation,[],[f9626,f308]) ).
fof(f9626,plain,
( e0 = e3
| e2 = e3
| e3 = op(e1,e1)
| e3 = op(e0,e1)
| ~ spl8_94
| ~ spl8_105 ),
inference(forward_demodulation,[],[f3749,f793]) ).
fof(f3749,plain,
( e2 = e3
| e3 = op(e3,e1)
| e3 = op(e1,e1)
| e3 = op(e0,e1)
| ~ spl8_105 ),
inference(forward_demodulation,[],[f140,f1312]) ).
fof(f9708,plain,
( spl8_2
| spl8_4
| ~ spl8_18
| ~ spl8_73
| ~ spl8_89
| ~ spl8_95 ),
inference(avatar_split_clause,[],[f9687,f798,f744,f610,f333,f269,f259]) ).
fof(f9687,plain,
( e1 = e2
| e0 = e2
| ~ spl8_18
| ~ spl8_73
| ~ spl8_89
| ~ spl8_95 ),
inference(duplicate_literal_removal,[],[f9686]) ).
fof(f9686,plain,
( e1 = e2
| e1 = e2
| e0 = e2
| ~ spl8_18
| ~ spl8_73
| ~ spl8_89
| ~ spl8_95 ),
inference(forward_demodulation,[],[f9685,f335]) ).
fof(f9685,plain,
( e1 = e2
| e0 = e2
| op(e0,e0) = e2
| ~ spl8_73
| ~ spl8_89
| ~ spl8_95 ),
inference(duplicate_literal_removal,[],[f9684]) ).
fof(f9684,plain,
( e1 = e2
| e0 = e2
| e1 = e2
| op(e0,e0) = e2
| ~ spl8_73
| ~ spl8_89
| ~ spl8_95 ),
inference(forward_demodulation,[],[f9683,f611]) ).
fof(f9683,plain,
( e0 = e2
| e1 = e2
| e2 = op(e1,e0)
| op(e0,e0) = e2
| ~ spl8_89
| ~ spl8_95 ),
inference(forward_demodulation,[],[f3138,f800]) ).
fof(f3138,plain,
( e1 = e2
| e2 = op(e2,e0)
| e2 = op(e1,e0)
| op(e0,e0) = e2
| ~ spl8_89 ),
inference(forward_demodulation,[],[f130,f745]) ).
fof(f9670,plain,
( spl8_21
| spl8_19
| spl8_3
| ~ spl8_80
| ~ spl8_100 ),
inference(avatar_split_clause,[],[f9655,f923,f670,f264,f338,f347]) ).
fof(f9655,plain,
( e0 = e3
| sP1
| sP0
| ~ spl8_80
| ~ spl8_100 ),
inference(forward_demodulation,[],[f6164,f672]) ).
fof(f6164,plain,
( e0 = op(e2,e2)
| sP1
| sP0
| ~ spl8_100 ),
inference(trivial_inequality_removal,[],[f2520]) ).
fof(f2520,plain,
( e3 != e3
| e0 = op(e2,e2)
| sP1
| sP0
| ~ spl8_100 ),
inference(forward_demodulation,[],[f191,f924]) ).
fof(f191,plain,
( e3 != op(e3,e0)
| e0 = op(e2,e2)
| sP1
| sP0 ),
inference(cnf_transformation,[],[f62]) ).
fof(f9651,plain,
( spl8_100
| spl8_5
| spl8_3
| ~ spl8_72
| ~ spl8_88
| ~ spl8_94 ),
inference(avatar_split_clause,[],[f9569,f791,f737,f600,f264,f274,f923]) ).
fof(f9569,plain,
( e0 = e3
| e1 = e3
| e3 = op(e3,e0)
| ~ spl8_72
| ~ spl8_88
| ~ spl8_94 ),
inference(duplicate_literal_removal,[],[f9568]) ).
fof(f9568,plain,
( e0 = e3
| e0 = e3
| e1 = e3
| e3 = op(e3,e0)
| ~ spl8_72
| ~ spl8_88
| ~ spl8_94 ),
inference(forward_demodulation,[],[f9567,f793]) ).
fof(f9567,plain,
( e0 = e3
| e1 = e3
| e3 = op(e3,e1)
| e3 = op(e3,e0)
| ~ spl8_72
| ~ spl8_88 ),
inference(forward_demodulation,[],[f7465,f602]) ).
fof(f9606,plain,
( spl8_86
| spl8_2
| spl8_1
| ~ spl8_18
| ~ spl8_73
| ~ spl8_113 ),
inference(avatar_split_clause,[],[f9386,f1482,f610,f333,f254,f259,f728]) ).
fof(f9386,plain,
( e0 = e1
| e0 = e2
| e0 = op(e3,e0)
| ~ spl8_18
| ~ spl8_73
| ~ spl8_113 ),
inference(duplicate_literal_removal,[],[f9385]) ).
fof(f9385,plain,
( e0 = e1
| e0 = e1
| e0 = e2
| e0 = op(e3,e0)
| ~ spl8_18
| ~ spl8_73
| ~ spl8_113 ),
inference(forward_demodulation,[],[f9384,f335]) ).
fof(f9384,plain,
( e0 = e1
| e0 = e2
| e0 = op(e3,e0)
| e0 = op(e0,e0)
| ~ spl8_73
| ~ spl8_113 ),
inference(forward_demodulation,[],[f3506,f611]) ).
fof(f3506,plain,
( e0 = e2
| e0 = op(e3,e0)
| e0 = op(e1,e0)
| e0 = op(e0,e0)
| ~ spl8_113 ),
inference(forward_demodulation,[],[f126,f1484]) ).
fof(f9594,plain,
( spl8_9
| spl8_7
| ~ spl8_109
| spl8_3
| ~ spl8_72 ),
inference(avatar_split_clause,[],[f8972,f600,f264,f1368,f284,f293]) ).
fof(f293,plain,
( spl8_9
<=> sP6 ),
introduced(avatar_definition,[new_symbols(naming,[spl8_9])]) ).
fof(f284,plain,
( spl8_7
<=> sP7 ),
introduced(avatar_definition,[new_symbols(naming,[spl8_7])]) ).
fof(f8972,plain,
( e0 = e3
| e2 != op(e2,e3)
| sP7
| sP6
| ~ spl8_72 ),
inference(forward_demodulation,[],[f202,f602]) ).
fof(f202,plain,
( e3 = op(e3,e3)
| e2 != op(e2,e3)
| sP7
| sP6 ),
inference(cnf_transformation,[],[f62]) ).
fof(f9565,plain,
( spl8_1
| ~ spl8_88
| ~ spl8_94
| ~ spl8_114 ),
inference(avatar_split_clause,[],[f8952,f1490,f791,f737,f254]) ).
fof(f8952,plain,
( e0 = e1
| ~ spl8_88
| ~ spl8_94
| ~ spl8_114 ),
inference(forward_demodulation,[],[f7259,f793]) ).
fof(f7259,plain,
( e1 = op(e3,e1)
| ~ spl8_88
| ~ spl8_114 ),
inference(forward_demodulation,[],[f738,f2371]) ).
fof(f9529,plain,
( spl8_86
| spl8_1
| ~ spl8_18
| ~ spl8_73
| ~ spl8_123 ),
inference(avatar_split_clause,[],[f9446,f2607,f610,f333,f254,f728]) ).
fof(f9446,plain,
( e0 = e1
| e0 = op(e3,e0)
| ~ spl8_18
| ~ spl8_73
| ~ spl8_123 ),
inference(duplicate_literal_removal,[],[f9445]) ).
fof(f9445,plain,
( e0 = e1
| e0 = e1
| e0 = op(e3,e0)
| ~ spl8_18
| ~ spl8_73
| ~ spl8_123 ),
inference(forward_demodulation,[],[f9444,f335]) ).
fof(f9444,plain,
( e0 = e1
| e0 = op(e3,e0)
| e0 = op(e0,e0)
| ~ spl8_73
| ~ spl8_123 ),
inference(duplicate_literal_removal,[],[f9443]) ).
fof(f9443,plain,
( e0 = e1
| e0 = e1
| e0 = op(e3,e0)
| e0 = op(e0,e0)
| ~ spl8_73
| ~ spl8_123 ),
inference(forward_demodulation,[],[f7943,f611]) ).
fof(f9508,plain,
( spl8_6
| spl8_5
| ~ spl8_18
| ~ spl8_85
| ~ spl8_97
| ~ spl8_99 ),
inference(avatar_split_clause,[],[f9432,f851,f809,f723,f333,f274,f279]) ).
fof(f9432,plain,
( e1 = e3
| e2 = e3
| ~ spl8_18
| ~ spl8_85
| ~ spl8_97
| ~ spl8_99 ),
inference(duplicate_literal_removal,[],[f9431]) ).
fof(f9431,plain,
( e1 = e3
| e1 = e3
| e2 = e3
| ~ spl8_18
| ~ spl8_85
| ~ spl8_97
| ~ spl8_99 ),
inference(forward_demodulation,[],[f9430,f335]) ).
fof(f9430,plain,
( e1 = e3
| e2 = e3
| op(e0,e0) = e3
| ~ spl8_85
| ~ spl8_97
| ~ spl8_99 ),
inference(duplicate_literal_removal,[],[f9429]) ).
fof(f9429,plain,
( e1 = e3
| e1 = e3
| e2 = e3
| op(e0,e0) = e3
| ~ spl8_85
| ~ spl8_97
| ~ spl8_99 ),
inference(forward_demodulation,[],[f3064,f853]) ).
fof(f3064,plain,
( e1 = e3
| e2 = e3
| e3 = op(e0,e1)
| op(e0,e0) = e3
| ~ spl8_85
| ~ spl8_97 ),
inference(forward_demodulation,[],[f1837,f724]) ).
fof(f724,plain,
( e1 = op(e0,e3)
| ~ spl8_85 ),
inference(avatar_component_clause,[],[f723]) ).
fof(f9376,plain,
( spl8_3
| ~ spl8_72
| ~ spl8_81 ),
inference(avatar_split_clause,[],[f9166,f674,f600,f264]) ).
fof(f674,plain,
( spl8_81
<=> e3 = op(e3,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_81])]) ).
fof(f9166,plain,
( e0 = e3
| ~ spl8_72
| ~ spl8_81 ),
inference(forward_demodulation,[],[f676,f602]) ).
fof(f676,plain,
( e3 = op(e3,e3)
| ~ spl8_81 ),
inference(avatar_component_clause,[],[f674]) ).
fof(f9172,plain,
( spl8_1
| ~ spl8_85
| ~ spl8_97
| ~ spl8_109
| ~ spl8_112 ),
inference(avatar_split_clause,[],[f9159,f1413,f1368,f809,f723,f254]) ).
fof(f9159,plain,
( e0 = e1
| ~ spl8_85
| ~ spl8_97
| ~ spl8_109
| ~ spl8_112 ),
inference(forward_demodulation,[],[f724,f9109]) ).
fof(f9109,plain,
( e0 = op(e0,e3)
| ~ spl8_97
| ~ spl8_109
| ~ spl8_112 ),
inference(forward_demodulation,[],[f1370,f7536]) ).
fof(f8968,plain,
( spl8_5
| ~ spl8_12
| ~ spl8_74
| ~ spl8_88
| ~ spl8_99
| ~ spl8_114 ),
inference(avatar_split_clause,[],[f8938,f1490,f851,f737,f615,f306,f274]) ).
fof(f8938,plain,
( e1 = e3
| ~ spl8_12
| ~ spl8_74
| ~ spl8_88
| ~ spl8_99
| ~ spl8_114 ),
inference(duplicate_literal_removal,[],[f8937]) ).
fof(f8937,plain,
( e1 = e3
| e1 = e3
| ~ spl8_12
| ~ spl8_74
| ~ spl8_88
| ~ spl8_99
| ~ spl8_114 ),
inference(forward_demodulation,[],[f7154,f853]) ).
fof(f7154,plain,
( e3 = op(e0,e1)
| e1 = e3
| ~ spl8_12
| ~ spl8_74
| ~ spl8_88
| ~ spl8_114 ),
inference(forward_demodulation,[],[f7153,f2371]) ).
fof(f7153,plain,
( e1 = e3
| e3 = op(e0,e2)
| ~ spl8_12
| ~ spl8_74
| ~ spl8_88
| ~ spl8_114 ),
inference(duplicate_literal_removal,[],[f7152]) ).
fof(f7152,plain,
( e1 = e3
| e1 = e3
| e3 = op(e0,e2)
| ~ spl8_12
| ~ spl8_74
| ~ spl8_88
| ~ spl8_114 ),
inference(forward_demodulation,[],[f7151,f2371]) ).
fof(f7151,plain,
( e2 = e3
| e1 = e3
| e3 = op(e0,e2)
| ~ spl8_12
| ~ spl8_74
| ~ spl8_88
| ~ spl8_114 ),
inference(forward_demodulation,[],[f7150,f308]) ).
fof(f7150,plain,
( e3 = op(e1,e1)
| e1 = e3
| e3 = op(e0,e2)
| ~ spl8_74
| ~ spl8_88
| ~ spl8_114 ),
inference(forward_demodulation,[],[f7149,f2371]) ).
fof(f7149,plain,
( e1 = e3
| e3 = op(e1,e2)
| e3 = op(e0,e2)
| ~ spl8_74
| ~ spl8_88
| ~ spl8_114 ),
inference(duplicate_literal_removal,[],[f7148]) ).
fof(f7148,plain,
( e1 = e3
| e1 = e3
| e3 = op(e1,e2)
| e3 = op(e0,e2)
| ~ spl8_74
| ~ spl8_88
| ~ spl8_114 ),
inference(forward_demodulation,[],[f7147,f617]) ).
fof(f7147,plain,
( e1 = e3
| e3 = op(e2,e2)
| e3 = op(e1,e2)
| e3 = op(e0,e2)
| ~ spl8_88
| ~ spl8_114 ),
inference(forward_demodulation,[],[f6141,f2371]) ).
fof(f8895,plain,
( spl8_3
| ~ spl8_112
| ~ spl8_118 ),
inference(avatar_split_clause,[],[f8883,f2073,f1413,f264]) ).
fof(f8883,plain,
( e0 = e3
| ~ spl8_112
| ~ spl8_118 ),
inference(forward_demodulation,[],[f2075,f1415]) ).
fof(f8865,plain,
( spl8_6
| spl8_5
| spl8_3
| ~ spl8_72
| ~ spl8_89
| ~ spl8_94
| ~ spl8_114 ),
inference(avatar_split_clause,[],[f8847,f1490,f791,f744,f600,f264,f274,f279]) ).
fof(f8847,plain,
( e0 = e3
| e1 = e3
| e2 = e3
| ~ spl8_72
| ~ spl8_89
| ~ spl8_94
| ~ spl8_114 ),
inference(duplicate_literal_removal,[],[f8846]) ).
fof(f8846,plain,
( e0 = e3
| e0 = e3
| e1 = e3
| e2 = e3
| ~ spl8_72
| ~ spl8_89
| ~ spl8_94
| ~ spl8_114 ),
inference(forward_demodulation,[],[f6139,f793]) ).
fof(f6139,plain,
( e0 = e3
| e1 = e3
| e2 = e3
| e3 = op(e3,e1)
| ~ spl8_72
| ~ spl8_89
| ~ spl8_114 ),
inference(forward_demodulation,[],[f1977,f602]) ).
fof(f1977,plain,
( e1 = e3
| e2 = e3
| e3 = op(e3,e3)
| e3 = op(e3,e1)
| ~ spl8_89
| ~ spl8_114 ),
inference(forward_demodulation,[],[f1976,f745]) ).
fof(f8819,plain,
( ~ spl8_93
| ~ spl8_12
| ~ spl8_126 ),
inference(avatar_split_clause,[],[f8812,f3732,f306,f787]) ).
fof(f8806,plain,
( spl8_89
| spl8_88
| spl8_1
| ~ spl8_72
| ~ spl8_94 ),
inference(avatar_split_clause,[],[f8399,f791,f600,f254,f737,f744]) ).
fof(f8399,plain,
( e0 = e1
| e1 = op(e3,e2)
| e1 = op(e3,e0)
| ~ spl8_72
| ~ spl8_94 ),
inference(duplicate_literal_removal,[],[f8398]) ).
fof(f8398,plain,
( e0 = e1
| e0 = e1
| e1 = op(e3,e2)
| e1 = op(e3,e0)
| ~ spl8_72
| ~ spl8_94 ),
inference(forward_demodulation,[],[f6180,f793]) ).
fof(f6180,plain,
( e0 = e1
| e1 = op(e3,e2)
| e1 = op(e3,e1)
| e1 = op(e3,e0)
| ~ spl8_72 ),
inference(forward_demodulation,[],[f151,f602]) ).
fof(f8778,plain,
( spl8_97
| spl8_102
| spl8_4
| ~ spl8_74
| ~ spl8_88 ),
inference(avatar_split_clause,[],[f6842,f737,f615,f269,f1058,f809]) ).
fof(f6842,plain,
( e1 = e2
| e2 = op(e1,e2)
| e2 = op(e0,e2)
| ~ spl8_74
| ~ spl8_88 ),
inference(duplicate_literal_removal,[],[f6841]) ).
fof(f6841,plain,
( e1 = e2
| e1 = e2
| e2 = op(e1,e2)
| e2 = op(e0,e2)
| ~ spl8_74
| ~ spl8_88 ),
inference(forward_demodulation,[],[f2402,f617]) ).
fof(f2402,plain,
( e1 = e2
| e2 = op(e2,e2)
| e2 = op(e1,e2)
| e2 = op(e0,e2)
| ~ spl8_88 ),
inference(forward_demodulation,[],[f146,f738]) ).
fof(f8742,plain,
( spl8_121
| spl8_6
| spl8_3
| spl8_5
| ~ spl8_72
| ~ spl8_82
| ~ spl8_98 ),
inference(avatar_split_clause,[],[f8699,f813,f707,f600,f274,f264,f279,f2434]) ).
fof(f8699,plain,
( e1 = e3
| e0 = e3
| e2 = e3
| e3 = op(e2,e3)
| ~ spl8_72
| ~ spl8_82
| ~ spl8_98 ),
inference(forward_demodulation,[],[f8698,f708]) ).
fof(f8698,plain,
( e0 = e3
| e2 = e3
| e3 = op(e2,e3)
| e3 = op(e1,e3)
| ~ spl8_72
| ~ spl8_98 ),
inference(forward_demodulation,[],[f2129,f602]) ).
fof(f8734,plain,
( spl8_113
| spl8_2
| spl8_6
| spl8_4
| ~ spl8_74
| ~ spl8_87
| ~ spl8_111 ),
inference(avatar_split_clause,[],[f7839,f1386,f733,f615,f269,f279,f259,f1482]) ).
fof(f7839,plain,
( e1 = e2
| e2 = e3
| e0 = e2
| e2 = op(e2,e0)
| ~ spl8_74
| ~ spl8_87
| ~ spl8_111 ),
inference(forward_demodulation,[],[f3537,f617]) ).
fof(f3537,plain,
( e2 = e3
| e0 = e2
| e2 = op(e2,e2)
| e2 = op(e2,e0)
| ~ spl8_87
| ~ spl8_111 ),
inference(forward_demodulation,[],[f1997,f1388]) ).
fof(f1388,plain,
( e3 = op(e2,e1)
| ~ spl8_111 ),
inference(avatar_component_clause,[],[f1386]) ).
fof(f1997,plain,
( e0 = e2
| e2 = op(e2,e2)
| e2 = op(e2,e1)
| e2 = op(e2,e0)
| ~ spl8_87 ),
inference(forward_demodulation,[],[f145,f734]) ).
fof(f8728,plain,
( spl8_104
| spl8_5
| spl8_4
| spl8_1
| ~ spl8_12
| ~ spl8_90
| ~ spl8_111 ),
inference(avatar_split_clause,[],[f7352,f1386,f762,f306,f254,f269,f274,f1207]) ).
fof(f762,plain,
( spl8_90
<=> e0 = op(e0,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_90])]) ).
fof(f7352,plain,
( e0 = e1
| e1 = e2
| e1 = e3
| e1 = op(e3,e1)
| ~ spl8_12
| ~ spl8_90
| ~ spl8_111 ),
inference(forward_demodulation,[],[f7351,f763]) ).
fof(f763,plain,
( e0 = op(e0,e1)
| ~ spl8_90 ),
inference(avatar_component_clause,[],[f762]) ).
fof(f7351,plain,
( e1 = e2
| e1 = e3
| e1 = op(e3,e1)
| e1 = op(e0,e1)
| ~ spl8_12
| ~ spl8_111 ),
inference(forward_demodulation,[],[f2357,f308]) ).
fof(f2357,plain,
( e1 = e3
| e1 = op(e3,e1)
| e1 = op(e1,e1)
| e1 = op(e0,e1)
| ~ spl8_111 ),
inference(forward_demodulation,[],[f136,f1388]) ).
fof(f8689,plain,
( ~ spl8_89
| ~ spl8_10
| ~ spl8_98 ),
inference(avatar_split_clause,[],[f8677,f813,f297,f744]) ).
fof(f8677,plain,
( e1 != op(e3,e0)
| ~ spl8_10
| ~ spl8_98 ),
inference(trivial_inequality_removal,[],[f8676]) ).
fof(f8676,plain,
( e2 != e2
| e1 != op(e3,e0)
| ~ spl8_10
| ~ spl8_98 ),
inference(forward_demodulation,[],[f8675,f815]) ).
fof(f8675,plain,
( e1 != op(e3,e0)
| e2 != op(e0,e3)
| ~ spl8_10 ),
inference(trivial_inequality_removal,[],[f8674]) ).
fof(f8674,plain,
( e3 != e3
| e1 != op(e3,e0)
| e2 != op(e0,e3)
| ~ spl8_10 ),
inference(forward_demodulation,[],[f249,f299]) ).
fof(f249,plain,
( op(e0,e0) != e3
| e1 != op(e3,e0)
| e2 != op(e0,e3) ),
inference(inner_rewriting,[],[f225]) ).
fof(f225,plain,
( op(e0,e0) != e3
| e1 != op(op(e0,e0),e0)
| e2 != op(e0,op(e0,e0)) ),
inference(cnf_transformation,[],[f50]) ).
fof(f50,plain,
( op(e0,e0) != e3
| e1 != op(op(e0,e0),e0)
| e2 != op(e0,op(e0,e0)) ),
inference(ennf_transformation,[],[f21]) ).
fof(f21,axiom,
~ ( op(e0,e0) = e3
& e1 = op(op(e0,e0),e0)
& e2 = op(e0,op(e0,e0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax21) ).
fof(f8673,plain,
( spl8_89
| spl8_88
| spl8_5
| spl8_1
| ~ spl8_72
| ~ spl8_115 ),
inference(avatar_split_clause,[],[f8489,f2007,f600,f254,f274,f737,f744]) ).
fof(f8489,plain,
( e0 = e1
| e1 = e3
| e1 = op(e3,e2)
| e1 = op(e3,e0)
| ~ spl8_72
| ~ spl8_115 ),
inference(forward_demodulation,[],[f7941,f602]) ).
fof(f8666,plain,
( spl8_126
| spl8_3
| spl8_5
| spl8_6
| ~ spl8_12
| ~ spl8_78
| ~ spl8_82 ),
inference(avatar_split_clause,[],[f8659,f707,f660,f306,f279,f274,f264,f3732]) ).
fof(f8659,plain,
( e2 = e3
| e1 = e3
| e0 = e3
| e3 = op(e1,e2)
| ~ spl8_12
| ~ spl8_78
| ~ spl8_82 ),
inference(forward_demodulation,[],[f8153,f308]) ).
fof(f8153,plain,
( e1 = e3
| e0 = e3
| e3 = op(e1,e2)
| e3 = op(e1,e1)
| ~ spl8_78
| ~ spl8_82 ),
inference(forward_demodulation,[],[f2899,f708]) ).
fof(f2899,plain,
( e0 = e3
| e3 = op(e1,e3)
| e3 = op(e1,e2)
| e3 = op(e1,e1)
| ~ spl8_78 ),
inference(forward_demodulation,[],[f139,f661]) ).
fof(f661,plain,
( e0 = op(e1,e0)
| ~ spl8_78 ),
inference(avatar_component_clause,[],[f660]) ).
fof(f8642,plain,
( spl8_4
| ~ spl8_82
| ~ spl8_122 ),
inference(avatar_split_clause,[],[f3085,f2494,f707,f269]) ).
fof(f3085,plain,
( e1 = e2
| ~ spl8_82
| ~ spl8_122 ),
inference(superposition,[],[f2496,f708]) ).
fof(f8602,plain,
( spl8_86
| spl8_1
| spl8_3
| ~ spl8_10
| ~ spl8_73
| ~ spl8_116 ),
inference(avatar_split_clause,[],[f8597,f2019,f610,f297,f264,f254,f728]) ).
fof(f8597,plain,
( e0 = e3
| e0 = e1
| e0 = op(e3,e0)
| ~ spl8_10
| ~ spl8_73
| ~ spl8_116 ),
inference(duplicate_literal_removal,[],[f8596]) ).
fof(f8596,plain,
( e0 = e3
| e0 = e3
| e0 = e1
| e0 = op(e3,e0)
| ~ spl8_10
| ~ spl8_73
| ~ spl8_116 ),
inference(forward_demodulation,[],[f6342,f299]) ).
fof(f6342,plain,
( e0 = e3
| e0 = e1
| e0 = op(e3,e0)
| e0 = op(e0,e0)
| ~ spl8_73
| ~ spl8_116 ),
inference(forward_demodulation,[],[f1445,f2021]) ).
fof(f1445,plain,
( e0 = e1
| e0 = op(e3,e0)
| e0 = op(e2,e0)
| e0 = op(e0,e0)
| ~ spl8_73 ),
inference(forward_demodulation,[],[f126,f611]) ).
fof(f8595,plain,
( spl8_116
| spl8_111
| spl8_6
| spl8_5
| ~ spl8_74
| ~ spl8_109 ),
inference(avatar_split_clause,[],[f6403,f1368,f615,f274,f279,f1386,f2019]) ).
fof(f6403,plain,
( e1 = e3
| e2 = e3
| e3 = op(e2,e1)
| e3 = op(e2,e0)
| ~ spl8_74
| ~ spl8_109 ),
inference(forward_demodulation,[],[f1460,f617]) ).
fof(f1460,plain,
( e2 = e3
| e3 = op(e2,e2)
| e3 = op(e2,e1)
| e3 = op(e2,e0)
| ~ spl8_109 ),
inference(forward_demodulation,[],[f147,f1370]) ).
fof(f8585,plain,
( spl8_122
| spl8_109
| spl8_2
| spl8_4
| ~ spl8_72
| ~ spl8_85 ),
inference(avatar_split_clause,[],[f6428,f723,f600,f269,f259,f1368,f2494]) ).
fof(f6428,plain,
( e1 = e2
| e0 = e2
| e2 = op(e2,e3)
| e2 = op(e1,e3)
| ~ spl8_72
| ~ spl8_85 ),
inference(forward_demodulation,[],[f6427,f724]) ).
fof(f6427,plain,
( e0 = e2
| e2 = op(e2,e3)
| e2 = op(e1,e3)
| e2 = op(e0,e3)
| ~ spl8_72 ),
inference(forward_demodulation,[],[f154,f602]) ).
fof(f8578,plain,
( spl8_101
| spl8_3
| spl8_6
| spl8_5
| ~ spl8_12
| ~ spl8_73
| ~ spl8_91 ),
inference(avatar_split_clause,[],[f8541,f767,f610,f306,f274,f279,f264,f929]) ).
fof(f8541,plain,
( e1 = e3
| e2 = e3
| e0 = e3
| e3 = op(e1,e3)
| ~ spl8_12
| ~ spl8_73
| ~ spl8_91 ),
inference(forward_demodulation,[],[f8540,f611]) ).
fof(f8540,plain,
( e2 = e3
| e0 = e3
| e3 = op(e1,e3)
| e3 = op(e1,e0)
| ~ spl8_12
| ~ spl8_91 ),
inference(forward_demodulation,[],[f868,f308]) ).
fof(f8572,plain,
( spl8_122
| spl8_2
| spl8_4
| ~ spl8_72
| ~ spl8_84
| ~ spl8_85 ),
inference(avatar_split_clause,[],[f8535,f723,f716,f600,f269,f259,f2494]) ).
fof(f8535,plain,
( e1 = e2
| e0 = e2
| e2 = op(e1,e3)
| ~ spl8_72
| ~ spl8_84
| ~ spl8_85 ),
inference(duplicate_literal_removal,[],[f8534]) ).
fof(f8534,plain,
( e1 = e2
| e1 = e2
| e0 = e2
| e2 = op(e1,e3)
| ~ spl8_72
| ~ spl8_84
| ~ spl8_85 ),
inference(forward_demodulation,[],[f6428,f717]) ).
fof(f8533,plain,
( spl8_3
| ~ spl8_94
| ~ spl8_115 ),
inference(avatar_split_clause,[],[f8491,f2007,f791,f264]) ).
fof(f8491,plain,
( e0 = e3
| ~ spl8_94
| ~ spl8_115 ),
inference(forward_demodulation,[],[f2009,f793]) ).
fof(f8461,plain,
( spl8_124
| spl8_3
| spl8_6
| ~ spl8_12
| ~ spl8_92
| ~ spl8_102 ),
inference(avatar_split_clause,[],[f8250,f1058,f771,f306,f279,f264,f3514]) ).
fof(f8250,plain,
( e2 = e3
| e0 = e3
| e3 = op(e1,e0)
| ~ spl8_12
| ~ spl8_92
| ~ spl8_102 ),
inference(duplicate_literal_removal,[],[f8249]) ).
fof(f8249,plain,
( e2 = e3
| e2 = e3
| e0 = e3
| e3 = op(e1,e0)
| ~ spl8_12
| ~ spl8_92
| ~ spl8_102 ),
inference(forward_demodulation,[],[f2240,f1060]) ).
fof(f2240,plain,
( e2 = e3
| e0 = e3
| e3 = op(e1,e2)
| e3 = op(e1,e0)
| ~ spl8_12
| ~ spl8_92 ),
inference(forward_demodulation,[],[f2239,f308]) ).
fof(f2239,plain,
( e0 = e3
| e3 = op(e1,e2)
| e3 = op(e1,e1)
| e3 = op(e1,e0)
| ~ spl8_92 ),
inference(forward_demodulation,[],[f139,f773]) ).
fof(f8435,plain,
( spl8_5
| spl8_3
| spl8_6
| ~ spl8_72
| ~ spl8_84
| ~ spl8_92
| ~ spl8_98 ),
inference(avatar_split_clause,[],[f8263,f813,f771,f716,f600,f279,f264,f274]) ).
fof(f8263,plain,
( e2 = e3
| e0 = e3
| e1 = e3
| ~ spl8_72
| ~ spl8_84
| ~ spl8_92
| ~ spl8_98 ),
inference(forward_demodulation,[],[f8262,f815]) ).
fof(f8262,plain,
( e0 = e3
| e1 = e3
| e3 = op(e0,e3)
| ~ spl8_72
| ~ spl8_84
| ~ spl8_92 ),
inference(duplicate_literal_removal,[],[f8261]) ).
fof(f8261,plain,
( e0 = e3
| e1 = e3
| e0 = e3
| e3 = op(e0,e3)
| ~ spl8_72
| ~ spl8_84
| ~ spl8_92 ),
inference(forward_demodulation,[],[f7350,f773]) ).
fof(f7350,plain,
( e1 = e3
| e0 = e3
| e3 = op(e1,e3)
| e3 = op(e0,e3)
| ~ spl8_72
| ~ spl8_84 ),
inference(forward_demodulation,[],[f6062,f717]) ).
fof(f6062,plain,
( e0 = e3
| e3 = op(e2,e3)
| e3 = op(e1,e3)
| e3 = op(e0,e3)
| ~ spl8_72 ),
inference(forward_demodulation,[],[f156,f602]) ).
fof(f8393,plain,
( spl8_5
| ~ spl8_84
| ~ spl8_121 ),
inference(avatar_split_clause,[],[f3432,f2434,f716,f274]) ).
fof(f3432,plain,
( e1 = e3
| ~ spl8_84
| ~ spl8_121 ),
inference(superposition,[],[f717,f2436]) ).
fof(f8392,plain,
( ~ spl8_99
| ~ spl8_84
| spl8_85
| ~ spl8_121 ),
inference(avatar_split_clause,[],[f6976,f2434,f723,f716,f851]) ).
fof(f6976,plain,
( e1 != op(e0,e1)
| ~ spl8_84
| spl8_85
| ~ spl8_121 ),
inference(forward_demodulation,[],[f725,f3432]) ).
fof(f725,plain,
( e1 != op(e0,e3)
| spl8_85 ),
inference(avatar_component_clause,[],[f723]) ).
fof(f8329,plain,
( spl8_4
| ~ spl8_10
| ~ spl8_73
| ~ spl8_84
| ~ spl8_121
| ~ spl8_123 ),
inference(avatar_split_clause,[],[f8298,f2607,f2434,f716,f610,f297,f269]) ).
fof(f8298,plain,
( e1 = e2
| ~ spl8_10
| ~ spl8_73
| ~ spl8_84
| ~ spl8_121
| ~ spl8_123 ),
inference(duplicate_literal_removal,[],[f8297]) ).
fof(f8297,plain,
( e1 = e2
| e1 = e2
| ~ spl8_10
| ~ spl8_73
| ~ spl8_84
| ~ spl8_121
| ~ spl8_123 ),
inference(forward_demodulation,[],[f8296,f7058]) ).
fof(f7058,plain,
( op(e0,e0) = e1
| ~ spl8_10
| ~ spl8_84
| ~ spl8_121 ),
inference(forward_demodulation,[],[f299,f3432]) ).
fof(f8296,plain,
( e1 = e2
| op(e0,e0) = e2
| ~ spl8_73
| ~ spl8_84
| ~ spl8_121
| ~ spl8_123 ),
inference(duplicate_literal_removal,[],[f8295]) ).
fof(f8295,plain,
( e1 = e2
| e1 = e2
| op(e0,e0) = e2
| ~ spl8_73
| ~ spl8_84
| ~ spl8_121
| ~ spl8_123 ),
inference(forward_demodulation,[],[f8294,f2608]) ).
fof(f8294,plain,
( e1 = e2
| e2 = op(e2,e0)
| op(e0,e0) = e2
| ~ spl8_73
| ~ spl8_84
| ~ spl8_121 ),
inference(duplicate_literal_removal,[],[f8293]) ).
fof(f8293,plain,
( e1 = e2
| e1 = e2
| e2 = op(e2,e0)
| op(e0,e0) = e2
| ~ spl8_73
| ~ spl8_84
| ~ spl8_121 ),
inference(forward_demodulation,[],[f8292,f611]) ).
fof(f8292,plain,
( e2 = op(e1,e0)
| e1 = e2
| e2 = op(e2,e0)
| op(e0,e0) = e2
| ~ spl8_73
| ~ spl8_84
| ~ spl8_121 ),
inference(forward_demodulation,[],[f2026,f3432]) ).
fof(f2026,plain,
( e1 = e2
| e2 = op(e3,e0)
| e2 = op(e2,e0)
| op(e0,e0) = e2
| ~ spl8_73 ),
inference(forward_demodulation,[],[f130,f611]) ).
fof(f8285,plain,
( spl8_4
| ~ spl8_84
| ~ spl8_98
| ~ spl8_99
| ~ spl8_121 ),
inference(avatar_split_clause,[],[f8266,f2434,f851,f813,f716,f269]) ).
fof(f8266,plain,
( e1 = e2
| ~ spl8_84
| ~ spl8_98
| ~ spl8_99
| ~ spl8_121 ),
inference(forward_demodulation,[],[f6992,f853]) ).
fof(f6992,plain,
( e2 = op(e0,e1)
| ~ spl8_84
| ~ spl8_98
| ~ spl8_121 ),
inference(forward_demodulation,[],[f815,f3432]) ).
fof(f8212,plain,
( spl8_3
| spl8_5
| spl8_6
| ~ spl8_12
| ~ spl8_78
| ~ spl8_82
| ~ spl8_102 ),
inference(avatar_split_clause,[],[f8190,f1058,f707,f660,f306,f279,f274,f264]) ).
fof(f8190,plain,
( e2 = e3
| e1 = e3
| e0 = e3
| ~ spl8_12
| ~ spl8_78
| ~ spl8_82
| ~ spl8_102 ),
inference(duplicate_literal_removal,[],[f8189]) ).
fof(f8189,plain,
( e2 = e3
| e2 = e3
| e1 = e3
| e0 = e3
| ~ spl8_12
| ~ spl8_78
| ~ spl8_82
| ~ spl8_102 ),
inference(forward_demodulation,[],[f8154,f308]) ).
fof(f8154,plain,
( e2 = e3
| e1 = e3
| e0 = e3
| e3 = op(e1,e1)
| ~ spl8_78
| ~ spl8_82
| ~ spl8_102 ),
inference(forward_demodulation,[],[f8153,f1060]) ).
fof(f8188,plain,
( spl8_2
| ~ spl8_78
| ~ spl8_107 ),
inference(avatar_split_clause,[],[f5685,f1356,f660,f259]) ).
fof(f5685,plain,
( e0 = e2
| ~ spl8_78
| ~ spl8_107 ),
inference(superposition,[],[f661,f1358]) ).
fof(f8126,plain,
( spl8_3
| ~ spl8_79
| ~ spl8_83 ),
inference(avatar_split_clause,[],[f3870,f712,f665,f264]) ).
fof(f3870,plain,
( e0 = e3
| ~ spl8_79
| ~ spl8_83 ),
inference(superposition,[],[f713,f666]) ).
fof(f8051,plain,
( spl8_1
| ~ spl8_10
| ~ spl8_79
| ~ spl8_83
| ~ spl8_97
| ~ spl8_112
| ~ spl8_115 ),
inference(avatar_split_clause,[],[f8041,f2007,f1413,f809,f712,f665,f297,f254]) ).
fof(f8041,plain,
( e0 = e1
| ~ spl8_10
| ~ spl8_79
| ~ spl8_83
| ~ spl8_97
| ~ spl8_112
| ~ spl8_115 ),
inference(duplicate_literal_removal,[],[f8040]) ).
fof(f8040,plain,
( e0 = e1
| e0 = e1
| ~ spl8_10
| ~ spl8_79
| ~ spl8_83
| ~ spl8_97
| ~ spl8_112
| ~ spl8_115 ),
inference(forward_demodulation,[],[f8039,f7992]) ).
fof(f7992,plain,
( e0 = op(e3,e0)
| ~ spl8_83
| ~ spl8_97
| ~ spl8_112 ),
inference(forward_demodulation,[],[f713,f7536]) ).
fof(f8039,plain,
( e0 = e1
| e1 = op(e3,e0)
| ~ spl8_10
| ~ spl8_79
| ~ spl8_83
| ~ spl8_115 ),
inference(duplicate_literal_removal,[],[f8038]) ).
fof(f8038,plain,
( e0 = e1
| e0 = e1
| e1 = op(e3,e0)
| ~ spl8_10
| ~ spl8_79
| ~ spl8_83
| ~ spl8_115 ),
inference(forward_demodulation,[],[f8037,f3870]) ).
fof(f8037,plain,
( e1 = e3
| e0 = e1
| e1 = op(e3,e0)
| ~ spl8_10
| ~ spl8_79
| ~ spl8_83
| ~ spl8_115 ),
inference(forward_demodulation,[],[f8036,f299]) ).
fof(f8036,plain,
( op(e0,e0) = e1
| e0 = e1
| e1 = op(e3,e0)
| ~ spl8_79
| ~ spl8_83
| ~ spl8_115 ),
inference(forward_demodulation,[],[f8035,f3870]) ).
fof(f8035,plain,
( e0 = e1
| e1 = op(e3,e3)
| e1 = op(e3,e0)
| ~ spl8_79
| ~ spl8_83
| ~ spl8_115 ),
inference(duplicate_literal_removal,[],[f8034]) ).
fof(f8034,plain,
( e0 = e1
| e0 = e1
| e1 = op(e3,e3)
| e1 = op(e3,e0)
| ~ spl8_79
| ~ spl8_83
| ~ spl8_115 ),
inference(forward_demodulation,[],[f7978,f3870]) ).
fof(f7978,plain,
( e1 = e3
| e0 = e1
| e1 = op(e3,e3)
| e1 = op(e3,e0)
| ~ spl8_83
| ~ spl8_115 ),
inference(forward_demodulation,[],[f7635,f2009]) ).
fof(f7635,plain,
( e0 = e1
| e1 = op(e3,e3)
| e1 = op(e3,e1)
| e1 = op(e3,e0)
| ~ spl8_83 ),
inference(forward_demodulation,[],[f151,f713]) ).
fof(f8026,plain,
( spl8_1
| ~ spl8_72
| ~ spl8_83
| ~ spl8_94
| ~ spl8_97
| ~ spl8_112 ),
inference(avatar_split_clause,[],[f8018,f1413,f809,f791,f712,f600,f254]) ).
fof(f8018,plain,
( e0 = e1
| ~ spl8_72
| ~ spl8_83
| ~ spl8_94
| ~ spl8_97
| ~ spl8_112 ),
inference(duplicate_literal_removal,[],[f8017]) ).
fof(f8017,plain,
( e0 = e1
| e0 = e1
| ~ spl8_72
| ~ spl8_83
| ~ spl8_94
| ~ spl8_97
| ~ spl8_112 ),
inference(forward_demodulation,[],[f8016,f793]) ).
fof(f8016,plain,
( e0 = e1
| e1 = op(e3,e1)
| ~ spl8_72
| ~ spl8_83
| ~ spl8_97
| ~ spl8_112 ),
inference(duplicate_literal_removal,[],[f8015]) ).
fof(f8015,plain,
( e0 = e1
| e0 = e1
| e1 = op(e3,e1)
| ~ spl8_72
| ~ spl8_83
| ~ spl8_97
| ~ spl8_112 ),
inference(forward_demodulation,[],[f8014,f7992]) ).
fof(f8014,plain,
( e1 = op(e3,e0)
| e0 = e1
| e1 = op(e3,e1)
| ~ spl8_72
| ~ spl8_97
| ~ spl8_112 ),
inference(duplicate_literal_removal,[],[f8013]) ).
fof(f8013,plain,
( e1 = op(e3,e0)
| e0 = e1
| e1 = op(e3,e1)
| e1 = op(e3,e0)
| ~ spl8_72
| ~ spl8_97
| ~ spl8_112 ),
inference(forward_demodulation,[],[f6180,f7536]) ).
fof(f7923,plain,
( ~ spl8_9
| ~ spl8_108 ),
inference(avatar_split_clause,[],[f7919,f1363,f293]) ).
fof(f7919,plain,
( ~ sP6
| ~ spl8_108 ),
inference(trivial_inequality_removal,[],[f7918]) ).
fof(f7918,plain,
( e0 != e0
| ~ sP6
| ~ spl8_108 ),
inference(forward_demodulation,[],[f176,f1364]) ).
fof(f176,plain,
( e0 != op(e0,e3)
| ~ sP6 ),
inference(cnf_transformation,[],[f64]) ).
fof(f64,plain,
( ( e0 != op(e0,e3)
& op(e0,e0) = e3 )
| ~ sP6 ),
inference(nnf_transformation,[],[f60]) ).
fof(f7915,plain,
( spl8_1
| ~ spl8_82
| ~ spl8_92 ),
inference(avatar_split_clause,[],[f7914,f771,f707,f254]) ).
fof(f7914,plain,
( e0 = e1
| ~ spl8_82
| ~ spl8_92 ),
inference(forward_demodulation,[],[f708,f773]) ).
fof(f7888,plain,
( spl8_124
| spl8_126
| spl8_3
| ~ spl8_20
| ~ spl8_92 ),
inference(avatar_split_clause,[],[f7862,f771,f342,f264,f3732,f3514]) ).
fof(f7862,plain,
( e0 = e3
| e3 = op(e1,e2)
| e3 = op(e1,e0)
| ~ spl8_20
| ~ spl8_92 ),
inference(duplicate_literal_removal,[],[f7861]) ).
fof(f7861,plain,
( e0 = e3
| e0 = e3
| e3 = op(e1,e2)
| e3 = op(e1,e0)
| ~ spl8_20
| ~ spl8_92 ),
inference(forward_demodulation,[],[f2239,f344]) ).
fof(f7880,plain,
( spl8_126
| spl8_3
| spl8_6
| ~ spl8_20
| ~ spl8_92
| ~ spl8_107 ),
inference(avatar_split_clause,[],[f7863,f1356,f771,f342,f279,f264,f3732]) ).
fof(f7863,plain,
( e2 = e3
| e0 = e3
| e3 = op(e1,e2)
| ~ spl8_20
| ~ spl8_92
| ~ spl8_107 ),
inference(forward_demodulation,[],[f7862,f1358]) ).
fof(f7860,plain,
( spl8_3
| ~ spl8_87
| ~ spl8_121 ),
inference(avatar_split_clause,[],[f3539,f2434,f733,f264]) ).
fof(f3539,plain,
( e0 = e3
| ~ spl8_87
| ~ spl8_121 ),
inference(superposition,[],[f734,f2436]) ).
fof(f7854,plain,
( spl8_2
| spl8_6
| spl8_4
| ~ spl8_74
| ~ spl8_87
| ~ spl8_111
| ~ spl8_123 ),
inference(avatar_split_clause,[],[f7838,f2607,f1386,f733,f615,f269,f279,f259]) ).
fof(f7838,plain,
( e1 = e2
| e2 = e3
| e0 = e2
| ~ spl8_74
| ~ spl8_87
| ~ spl8_111
| ~ spl8_123 ),
inference(duplicate_literal_removal,[],[f7837]) ).
fof(f7837,plain,
( e1 = e2
| e1 = e2
| e2 = e3
| e0 = e2
| ~ spl8_74
| ~ spl8_87
| ~ spl8_111
| ~ spl8_123 ),
inference(forward_demodulation,[],[f3538,f617]) ).
fof(f3538,plain,
( e1 = e2
| e2 = e3
| e0 = e2
| e2 = op(e2,e2)
| ~ spl8_87
| ~ spl8_111
| ~ spl8_123 ),
inference(forward_demodulation,[],[f3537,f2608]) ).
fof(f7827,plain,
( spl8_111
| spl8_121
| spl8_5
| ~ spl8_74
| ~ spl8_123 ),
inference(avatar_split_clause,[],[f7819,f2607,f615,f274,f2434,f1386]) ).
fof(f7819,plain,
( e1 = e3
| e3 = op(e2,e3)
| e3 = op(e2,e1)
| ~ spl8_74
| ~ spl8_123 ),
inference(duplicate_literal_removal,[],[f7818]) ).
fof(f7818,plain,
( e1 = e3
| e1 = e3
| e3 = op(e2,e3)
| e3 = op(e2,e1)
| ~ spl8_74
| ~ spl8_123 ),
inference(forward_demodulation,[],[f6145,f2608]) ).
fof(f7817,plain,
( spl8_92
| spl8_72
| spl8_1
| spl8_3
| ~ spl8_85
| ~ spl8_121 ),
inference(avatar_split_clause,[],[f2936,f2434,f723,f264,f254,f600,f771]) ).
fof(f2936,plain,
( e0 = e3
| e0 = e1
| e0 = op(e3,e3)
| e0 = op(e1,e3)
| ~ spl8_85
| ~ spl8_121 ),
inference(forward_demodulation,[],[f2341,f2436]) ).
fof(f2341,plain,
( e0 = e1
| e0 = op(e3,e3)
| e0 = op(e2,e3)
| e0 = op(e1,e3)
| ~ spl8_85 ),
inference(forward_demodulation,[],[f150,f724]) ).
fof(f7814,plain,
( spl8_72
| spl8_3
| spl8_1
| ~ spl8_82
| ~ spl8_85
| ~ spl8_121 ),
inference(avatar_split_clause,[],[f7805,f2434,f723,f707,f254,f264,f600]) ).
fof(f7805,plain,
( e0 = e1
| e0 = e3
| e0 = op(e3,e3)
| ~ spl8_82
| ~ spl8_85
| ~ spl8_121 ),
inference(duplicate_literal_removal,[],[f7804]) ).
fof(f7804,plain,
( e0 = e1
| e0 = e3
| e0 = e1
| e0 = op(e3,e3)
| ~ spl8_82
| ~ spl8_85
| ~ spl8_121 ),
inference(forward_demodulation,[],[f5659,f708]) ).
fof(f5659,plain,
( e0 = e3
| e0 = e1
| e0 = op(e3,e3)
| e0 = op(e1,e3)
| ~ spl8_85
| ~ spl8_121 ),
inference(forward_demodulation,[],[f2341,f2436]) ).
fof(f7803,plain,
( spl8_101
| spl8_121
| spl8_6
| spl8_5
| ~ spl8_77
| ~ spl8_85 ),
inference(avatar_split_clause,[],[f7612,f723,f635,f274,f279,f2434,f929]) ).
fof(f7612,plain,
( e1 = e3
| e2 = e3
| e3 = op(e2,e3)
| e3 = op(e1,e3)
| ~ spl8_77
| ~ spl8_85 ),
inference(forward_demodulation,[],[f7611,f724]) ).
fof(f7799,plain,
( spl8_107
| spl8_2
| spl8_6
| spl8_4
| ~ spl8_20
| ~ spl8_82
| ~ spl8_126 ),
inference(avatar_split_clause,[],[f7792,f3732,f707,f342,f269,f279,f259,f1356]) ).
fof(f7792,plain,
( e1 = e2
| e2 = e3
| e0 = e2
| e2 = op(e1,e0)
| ~ spl8_20
| ~ spl8_82
| ~ spl8_126 ),
inference(forward_demodulation,[],[f3809,f708]) ).
fof(f3809,plain,
( e2 = e3
| e0 = e2
| e2 = op(e1,e3)
| e2 = op(e1,e0)
| ~ spl8_20
| ~ spl8_126 ),
inference(forward_demodulation,[],[f2356,f3734]) ).
fof(f7791,plain,
( spl8_124
| spl8_126
| spl8_3
| spl8_5
| ~ spl8_20
| ~ spl8_82 ),
inference(avatar_split_clause,[],[f7485,f707,f342,f274,f264,f3732,f3514]) ).
fof(f7485,plain,
( e1 = e3
| e0 = e3
| e3 = op(e1,e2)
| e3 = op(e1,e0)
| ~ spl8_20
| ~ spl8_82 ),
inference(forward_demodulation,[],[f2346,f708]) ).
fof(f2346,plain,
( e0 = e3
| e3 = op(e1,e3)
| e3 = op(e1,e2)
| e3 = op(e1,e0)
| ~ spl8_20 ),
inference(forward_demodulation,[],[f139,f344]) ).
fof(f7787,plain,
( spl8_124
| spl8_5
| spl8_6
| spl8_3
| ~ spl8_20
| ~ spl8_82
| ~ spl8_102 ),
inference(avatar_split_clause,[],[f7774,f1058,f707,f342,f264,f279,f274,f3514]) ).
fof(f7774,plain,
( e0 = e3
| e2 = e3
| e1 = e3
| e3 = op(e1,e0)
| ~ spl8_20
| ~ spl8_82
| ~ spl8_102 ),
inference(forward_demodulation,[],[f7773,f344]) ).
fof(f7773,plain,
( e2 = e3
| e1 = e3
| e3 = op(e1,e1)
| e3 = op(e1,e0)
| ~ spl8_82
| ~ spl8_102 ),
inference(forward_demodulation,[],[f7448,f1060]) ).
fof(f7448,plain,
( e1 = e3
| e3 = op(e1,e2)
| e3 = op(e1,e1)
| e3 = op(e1,e0)
| ~ spl8_82 ),
inference(forward_demodulation,[],[f139,f708]) ).
fof(f7772,plain,
( spl8_73
| spl8_82
| spl8_4
| spl8_1
| ~ spl8_20
| ~ spl8_102 ),
inference(avatar_split_clause,[],[f7580,f1058,f342,f254,f269,f707,f610]) ).
fof(f7580,plain,
( e0 = e1
| e1 = e2
| e1 = op(e1,e3)
| e1 = op(e1,e0)
| ~ spl8_20
| ~ spl8_102 ),
inference(forward_demodulation,[],[f7570,f344]) ).
fof(f7570,plain,
( e1 = e2
| e1 = op(e1,e3)
| e1 = op(e1,e1)
| e1 = op(e1,e0)
| ~ spl8_102 ),
inference(forward_demodulation,[],[f135,f1060]) ).
fof(f7766,plain,
( spl8_73
| spl8_123
| spl8_1
| spl8_5
| ~ spl8_10
| ~ spl8_86 ),
inference(avatar_split_clause,[],[f7467,f728,f297,f274,f254,f2607,f610]) ).
fof(f7467,plain,
( e1 = e3
| e0 = e1
| e1 = op(e2,e0)
| e1 = op(e1,e0)
| ~ spl8_10
| ~ spl8_86 ),
inference(forward_demodulation,[],[f7364,f299]) ).
fof(f7364,plain,
( e0 = e1
| e1 = op(e2,e0)
| e1 = op(e1,e0)
| op(e0,e0) = e1
| ~ spl8_86 ),
inference(forward_demodulation,[],[f128,f729]) ).
fof(f128,plain,
( e1 = op(e3,e0)
| e1 = op(e2,e0)
| e1 = op(e1,e0)
| op(e0,e0) = e1 ),
inference(cnf_transformation,[],[f2]) ).
fof(f7761,plain,
( spl8_79
| spl8_5
| spl8_6
| spl8_3
| ~ spl8_74
| ~ spl8_102
| ~ spl8_112 ),
inference(avatar_split_clause,[],[f7737,f1413,f1058,f615,f264,f279,f274,f665]) ).
fof(f7737,plain,
( e0 = e3
| e2 = e3
| e1 = e3
| e3 = op(e3,e2)
| ~ spl8_74
| ~ spl8_102
| ~ spl8_112 ),
inference(forward_demodulation,[],[f7607,f1415]) ).
fof(f7607,plain,
( e2 = e3
| e1 = e3
| e3 = op(e3,e2)
| e3 = op(e0,e2)
| ~ spl8_74
| ~ spl8_102 ),
inference(forward_demodulation,[],[f6643,f1060]) ).
fof(f6643,plain,
( e1 = e3
| e3 = op(e3,e2)
| e3 = op(e1,e2)
| e3 = op(e0,e2)
| ~ spl8_74 ),
inference(forward_demodulation,[],[f148,f617]) ).
fof(f7724,plain,
( spl8_17
| spl8_15
| ~ spl8_105
| ~ spl8_115 ),
inference(avatar_split_clause,[],[f7723,f2007,f1311,f320,f329]) ).
fof(f329,plain,
( spl8_17
<=> sP2 ),
introduced(avatar_definition,[new_symbols(naming,[spl8_17])]) ).
fof(f320,plain,
( spl8_15
<=> sP3 ),
introduced(avatar_definition,[new_symbols(naming,[spl8_15])]) ).
fof(f7723,plain,
( sP3
| sP2
| ~ spl8_105
| ~ spl8_115 ),
inference(trivial_inequality_removal,[],[f7722]) ).
fof(f7722,plain,
( e3 != e3
| sP3
| sP2
| ~ spl8_105
| ~ spl8_115 ),
inference(forward_demodulation,[],[f4224,f2009]) ).
fof(f4224,plain,
( e3 != op(e3,e1)
| sP3
| sP2
| ~ spl8_105 ),
inference(trivial_inequality_removal,[],[f3743]) ).
fof(f3743,plain,
( e2 != e2
| e3 != op(e3,e1)
| sP3
| sP2
| ~ spl8_105 ),
inference(forward_demodulation,[],[f196,f1312]) ).
fof(f196,plain,
( e3 != op(e3,e1)
| e2 != op(e2,e1)
| sP3
| sP2 ),
inference(cnf_transformation,[],[f62]) ).
fof(f7713,plain,
( spl8_4
| ~ spl8_96
| ~ spl8_99 ),
inference(avatar_split_clause,[],[f7669,f851,f805,f269]) ).
fof(f7669,plain,
( e1 = e2
| ~ spl8_96
| ~ spl8_99 ),
inference(superposition,[],[f853,f807]) ).
fof(f7711,plain,
( spl8_115
| spl8_3
| spl8_5
| ~ spl8_20
| ~ spl8_96
| ~ spl8_99 ),
inference(avatar_split_clause,[],[f7693,f851,f805,f342,f274,f264,f2007]) ).
fof(f7693,plain,
( e1 = e3
| e0 = e3
| e3 = op(e3,e1)
| ~ spl8_20
| ~ spl8_96
| ~ spl8_99 ),
inference(forward_demodulation,[],[f7692,f7669]) ).
fof(f7692,plain,
( e2 = e3
| e0 = e3
| e3 = op(e3,e1)
| ~ spl8_20
| ~ spl8_96
| ~ spl8_99 ),
inference(forward_demodulation,[],[f7691,f807]) ).
fof(f7691,plain,
( e0 = e3
| e3 = op(e3,e1)
| e3 = op(e0,e1)
| ~ spl8_20
| ~ spl8_96
| ~ spl8_99 ),
inference(duplicate_literal_removal,[],[f7690]) ).
fof(f7690,plain,
( e0 = e3
| e0 = e3
| e3 = op(e3,e1)
| e3 = op(e0,e1)
| ~ spl8_20
| ~ spl8_96
| ~ spl8_99 ),
inference(forward_demodulation,[],[f7689,f344]) ).
fof(f7689,plain,
( e3 = op(e1,e1)
| e0 = e3
| e3 = op(e3,e1)
| e3 = op(e0,e1)
| ~ spl8_20
| ~ spl8_96
| ~ spl8_99 ),
inference(forward_demodulation,[],[f3900,f7669]) ).
fof(f3900,plain,
( e0 = e3
| e3 = op(e3,e1)
| e3 = op(e2,e1)
| e3 = op(e0,e1)
| ~ spl8_20 ),
inference(forward_demodulation,[],[f140,f344]) ).
fof(f7680,plain,
( spl8_92
| ~ spl8_87
| ~ spl8_96
| ~ spl8_99 ),
inference(avatar_split_clause,[],[f7679,f851,f805,f733,f771]) ).
fof(f7679,plain,
( e0 = op(e1,e3)
| ~ spl8_87
| ~ spl8_96
| ~ spl8_99 ),
inference(forward_demodulation,[],[f734,f7669]) ).
fof(f7673,plain,
( spl8_95
| spl8_87
| spl8_1
| spl8_3
| ~ spl8_74
| ~ spl8_111 ),
inference(avatar_split_clause,[],[f1440,f1386,f615,f264,f254,f733,f798]) ).
fof(f1440,plain,
( e0 = e3
| e0 = e1
| e0 = op(e2,e3)
| e0 = op(e2,e0)
| ~ spl8_74
| ~ spl8_111 ),
inference(forward_demodulation,[],[f1439,f1388]) ).
fof(f1439,plain,
( e0 = e1
| e0 = op(e2,e3)
| e0 = op(e2,e1)
| e0 = op(e2,e0)
| ~ spl8_74 ),
inference(forward_demodulation,[],[f141,f617]) ).
fof(f7668,plain,
( spl8_99
| spl8_4
| spl8_1
| spl8_5
| ~ spl8_10
| ~ spl8_97
| ~ spl8_108 ),
inference(avatar_split_clause,[],[f7592,f1363,f809,f297,f274,f254,f269,f851]) ).
fof(f7592,plain,
( e1 = e3
| e0 = e1
| e1 = e2
| e1 = op(e0,e1)
| ~ spl8_10
| ~ spl8_97
| ~ spl8_108 ),
inference(forward_demodulation,[],[f3628,f299]) ).
fof(f3628,plain,
( e0 = e1
| e1 = e2
| e1 = op(e0,e1)
| op(e0,e0) = e1
| ~ spl8_97
| ~ spl8_108 ),
inference(forward_demodulation,[],[f3557,f1364]) ).
fof(f3557,plain,
( e1 = e2
| e1 = op(e0,e3)
| e1 = op(e0,e1)
| op(e0,e0) = e1
| ~ spl8_97 ),
inference(forward_demodulation,[],[f127,f811]) ).
fof(f7663,plain,
( spl8_115
| spl8_6
| spl8_3
| ~ spl8_77
| ~ spl8_83
| ~ spl8_86 ),
inference(avatar_split_clause,[],[f7640,f728,f712,f635,f264,f279,f2007]) ).
fof(f7640,plain,
( e0 = e3
| e2 = e3
| e3 = op(e3,e1)
| ~ spl8_77
| ~ spl8_83
| ~ spl8_86 ),
inference(duplicate_literal_removal,[],[f7639]) ).
fof(f7639,plain,
( e0 = e3
| e0 = e3
| e2 = e3
| e3 = op(e3,e1)
| ~ spl8_77
| ~ spl8_83
| ~ spl8_86 ),
inference(forward_demodulation,[],[f7638,f729]) ).
fof(f7638,plain,
( e0 = e3
| e2 = e3
| e3 = op(e3,e1)
| e3 = op(e3,e0)
| ~ spl8_77
| ~ spl8_83 ),
inference(forward_demodulation,[],[f7597,f713]) ).
fof(f7656,plain,
( spl8_79
| spl8_5
| spl8_6
| ~ spl8_74
| ~ spl8_97
| ~ spl8_102 ),
inference(avatar_split_clause,[],[f7605,f1058,f809,f615,f279,f274,f665]) ).
fof(f7605,plain,
( e2 = e3
| e1 = e3
| e3 = op(e3,e2)
| ~ spl8_74
| ~ spl8_97
| ~ spl8_102 ),
inference(duplicate_literal_removal,[],[f7604]) ).
fof(f7604,plain,
( e2 = e3
| e1 = e3
| e2 = e3
| e3 = op(e3,e2)
| ~ spl8_74
| ~ spl8_97
| ~ spl8_102 ),
inference(forward_demodulation,[],[f7603,f1060]) ).
fof(f7603,plain,
( e1 = e3
| e2 = e3
| e3 = op(e3,e2)
| e3 = op(e1,e2)
| ~ spl8_74
| ~ spl8_97 ),
inference(forward_demodulation,[],[f2912,f617]) ).
fof(f2912,plain,
( e2 = e3
| e3 = op(e3,e2)
| e3 = op(e2,e2)
| e3 = op(e1,e2)
| ~ spl8_97 ),
inference(forward_demodulation,[],[f148,f811]) ).
fof(f7634,plain,
( spl8_13
| spl8_11
| spl8_4
| ~ spl8_74
| ~ spl8_79 ),
inference(avatar_split_clause,[],[f7625,f665,f615,f269,f302,f311]) ).
fof(f7625,plain,
( e1 = e2
| sP5
| sP4
| ~ spl8_74
| ~ spl8_79 ),
inference(forward_demodulation,[],[f7322,f617]) ).
fof(f7322,plain,
( e2 = op(e2,e2)
| sP5
| sP4
| ~ spl8_79 ),
inference(trivial_inequality_removal,[],[f6731]) ).
fof(f7622,plain,
( spl8_79
| spl8_6
| spl8_3
| ~ spl8_77
| ~ spl8_86
| ~ spl8_120 ),
inference(avatar_split_clause,[],[f7600,f2409,f728,f635,f264,f279,f665]) ).
fof(f7600,plain,
( e0 = e3
| e2 = e3
| e3 = op(e3,e2)
| ~ spl8_77
| ~ spl8_86
| ~ spl8_120 ),
inference(forward_demodulation,[],[f7599,f729]) ).
fof(f7599,plain,
( e2 = e3
| e3 = op(e3,e2)
| e3 = op(e3,e0)
| ~ spl8_77
| ~ spl8_120 ),
inference(duplicate_literal_removal,[],[f7598]) ).
fof(f7614,plain,
( spl8_83
| spl8_1
| spl8_2
| ~ spl8_74
| ~ spl8_97
| ~ spl8_102 ),
inference(avatar_split_clause,[],[f7589,f1058,f809,f615,f259,f254,f712]) ).
fof(f7589,plain,
( e0 = e2
| e0 = e1
| e0 = op(e3,e2)
| ~ spl8_74
| ~ spl8_97
| ~ spl8_102 ),
inference(duplicate_literal_removal,[],[f7588]) ).
fof(f7588,plain,
( e0 = e2
| e0 = e1
| e0 = e2
| e0 = op(e3,e2)
| ~ spl8_74
| ~ spl8_97
| ~ spl8_102 ),
inference(forward_demodulation,[],[f7393,f1060]) ).
fof(f7393,plain,
( e0 = e1
| e0 = e2
| e0 = op(e3,e2)
| e0 = op(e1,e2)
| ~ spl8_74
| ~ spl8_97 ),
inference(forward_demodulation,[],[f2910,f617]) ).
fof(f2910,plain,
( e0 = e2
| e0 = op(e3,e2)
| e0 = op(e2,e2)
| e0 = op(e1,e2)
| ~ spl8_97 ),
inference(forward_demodulation,[],[f142,f811]) ).
fof(f7610,plain,
( spl8_113
| spl8_6
| spl8_4
| ~ spl8_74
| ~ spl8_84
| ~ spl8_111 ),
inference(avatar_split_clause,[],[f6967,f1386,f716,f615,f269,f279,f1482]) ).
fof(f6967,plain,
( e1 = e2
| e2 = e3
| e2 = op(e2,e0)
| ~ spl8_74
| ~ spl8_84
| ~ spl8_111 ),
inference(duplicate_literal_removal,[],[f6966]) ).
fof(f6966,plain,
( e1 = e2
| e2 = e3
| e1 = e2
| e2 = op(e2,e0)
| ~ spl8_74
| ~ spl8_84
| ~ spl8_111 ),
inference(forward_demodulation,[],[f3419,f617]) ).
fof(f3419,plain,
( e2 = e3
| e1 = e2
| e2 = op(e2,e2)
| e2 = op(e2,e0)
| ~ spl8_84
| ~ spl8_111 ),
inference(forward_demodulation,[],[f3418,f1388]) ).
fof(f7596,plain,
( spl8_5
| spl8_6
| spl8_3
| ~ spl8_77
| ~ spl8_86
| ~ spl8_88
| ~ spl8_120 ),
inference(avatar_split_clause,[],[f7586,f2409,f737,f728,f635,f264,f279,f274]) ).
fof(f7586,plain,
( e0 = e3
| e2 = e3
| e1 = e3
| ~ spl8_77
| ~ spl8_86
| ~ spl8_88
| ~ spl8_120 ),
inference(forward_demodulation,[],[f7585,f729]) ).
fof(f7585,plain,
( e2 = e3
| e1 = e3
| e3 = op(e3,e0)
| ~ spl8_77
| ~ spl8_88
| ~ spl8_120 ),
inference(duplicate_literal_removal,[],[f7584]) ).
fof(f7584,plain,
( e2 = e3
| e2 = e3
| e1 = e3
| e3 = op(e3,e0)
| ~ spl8_77
| ~ spl8_88
| ~ spl8_120 ),
inference(forward_demodulation,[],[f7557,f2411]) ).
fof(f7557,plain,
( e2 = e3
| e1 = e3
| e3 = op(e3,e1)
| e3 = op(e3,e0)
| ~ spl8_77
| ~ spl8_88 ),
inference(forward_demodulation,[],[f7465,f637]) ).
fof(f7578,plain,
( spl8_5
| spl8_3
| ~ spl8_77
| ~ spl8_86
| ~ spl8_88
| ~ spl8_97
| ~ spl8_112
| ~ spl8_120 ),
inference(avatar_split_clause,[],[f7563,f2409,f1413,f809,f737,f728,f635,f264,f274]) ).
fof(f7563,plain,
( e0 = e3
| e1 = e3
| ~ spl8_77
| ~ spl8_86
| ~ spl8_88
| ~ spl8_97
| ~ spl8_112
| ~ spl8_120 ),
inference(duplicate_literal_removal,[],[f7562]) ).
fof(f7562,plain,
( e0 = e3
| e0 = e3
| e1 = e3
| ~ spl8_77
| ~ spl8_86
| ~ spl8_88
| ~ spl8_97
| ~ spl8_112
| ~ spl8_120 ),
inference(forward_demodulation,[],[f7561,f729]) ).
fof(f7561,plain,
( e0 = e3
| e1 = e3
| e3 = op(e3,e0)
| ~ spl8_77
| ~ spl8_88
| ~ spl8_97
| ~ spl8_112
| ~ spl8_120 ),
inference(duplicate_literal_removal,[],[f7560]) ).
fof(f7560,plain,
( e0 = e3
| e0 = e3
| e1 = e3
| e3 = op(e3,e0)
| ~ spl8_77
| ~ spl8_88
| ~ spl8_97
| ~ spl8_112
| ~ spl8_120 ),
inference(forward_demodulation,[],[f7559,f7536]) ).
fof(f7559,plain,
( e2 = e3
| e0 = e3
| e1 = e3
| e3 = op(e3,e0)
| ~ spl8_77
| ~ spl8_88
| ~ spl8_97
| ~ spl8_112
| ~ spl8_120 ),
inference(forward_demodulation,[],[f7558,f2411]) ).
fof(f7558,plain,
( e0 = e3
| e1 = e3
| e3 = op(e3,e1)
| e3 = op(e3,e0)
| ~ spl8_77
| ~ spl8_88
| ~ spl8_97
| ~ spl8_112 ),
inference(forward_demodulation,[],[f7557,f7536]) ).
fof(f7548,plain,
( spl8_72
| spl8_1
| ~ spl8_82
| ~ spl8_84
| ~ spl8_85 ),
inference(avatar_split_clause,[],[f7453,f723,f716,f707,f254,f600]) ).
fof(f7453,plain,
( e0 = e1
| e0 = op(e3,e3)
| ~ spl8_82
| ~ spl8_84
| ~ spl8_85 ),
inference(duplicate_literal_removal,[],[f7452]) ).
fof(f7452,plain,
( e0 = e1
| e0 = e1
| e0 = op(e3,e3)
| ~ spl8_82
| ~ spl8_84
| ~ spl8_85 ),
inference(forward_demodulation,[],[f7451,f708]) ).
fof(f7451,plain,
( e0 = e1
| e0 = op(e3,e3)
| e0 = op(e1,e3)
| ~ spl8_84
| ~ spl8_85 ),
inference(duplicate_literal_removal,[],[f7450]) ).
fof(f7450,plain,
( e0 = e1
| e0 = e1
| e0 = op(e3,e3)
| e0 = op(e1,e3)
| ~ spl8_84
| ~ spl8_85 ),
inference(forward_demodulation,[],[f2341,f717]) ).
fof(f7444,plain,
( spl8_5
| ~ spl8_79
| ~ spl8_88 ),
inference(avatar_split_clause,[],[f6701,f737,f665,f274]) ).
fof(f6701,plain,
( e1 = e3
| ~ spl8_79
| ~ spl8_88 ),
inference(superposition,[],[f738,f666]) ).
fof(f7321,plain,
( spl8_5
| ~ spl8_104
| ~ spl8_115 ),
inference(avatar_split_clause,[],[f7156,f2007,f1207,f274]) ).
fof(f7156,plain,
( e1 = e3
| ~ spl8_104
| ~ spl8_115 ),
inference(forward_demodulation,[],[f2009,f1209]) ).
fof(f7119,plain,
( spl8_2
| ~ spl8_84
| ~ spl8_90
| ~ spl8_98
| ~ spl8_121 ),
inference(avatar_split_clause,[],[f6993,f2434,f813,f762,f716,f259]) ).
fof(f6993,plain,
( e0 = e2
| ~ spl8_84
| ~ spl8_90
| ~ spl8_98
| ~ spl8_121 ),
inference(forward_demodulation,[],[f6992,f763]) ).
fof(f6959,plain,
( spl8_2
| ~ spl8_79
| ~ spl8_88
| ~ spl8_90
| ~ spl8_98 ),
inference(avatar_split_clause,[],[f6929,f813,f762,f737,f665,f259]) ).
fof(f6929,plain,
( e0 = e2
| ~ spl8_79
| ~ spl8_88
| ~ spl8_90
| ~ spl8_98 ),
inference(forward_demodulation,[],[f6928,f763]) ).
fof(f6928,plain,
( e2 = op(e0,e1)
| ~ spl8_79
| ~ spl8_88
| ~ spl8_98 ),
inference(forward_demodulation,[],[f815,f6701]) ).
fof(f6783,plain,
( spl8_6
| ~ spl8_115
| ~ spl8_120 ),
inference(avatar_split_clause,[],[f2707,f2409,f2007,f279]) ).
fof(f2707,plain,
( e2 = e3
| ~ spl8_115
| ~ spl8_120 ),
inference(forward_demodulation,[],[f2009,f2411]) ).
fof(f6715,plain,
( spl8_97
| spl8_114
| spl8_4
| spl8_2
| ~ spl8_74
| ~ spl8_91 ),
inference(avatar_split_clause,[],[f1451,f767,f615,f259,f269,f1490,f809]) ).
fof(f1451,plain,
( e0 = e2
| e1 = e2
| e2 = op(e3,e2)
| e2 = op(e0,e2)
| ~ spl8_74
| ~ spl8_91 ),
inference(forward_demodulation,[],[f1301,f769]) ).
fof(f1301,plain,
( e1 = e2
| e2 = op(e3,e2)
| e2 = op(e1,e2)
| e2 = op(e0,e2)
| ~ spl8_74 ),
inference(forward_demodulation,[],[f146,f617]) ).
fof(f6710,plain,
( spl8_97
| spl8_4
| spl8_2
| ~ spl8_74
| ~ spl8_88
| ~ spl8_91 ),
inference(avatar_split_clause,[],[f6699,f767,f737,f615,f259,f269,f809]) ).
fof(f6699,plain,
( e0 = e2
| e1 = e2
| e2 = op(e0,e2)
| ~ spl8_74
| ~ spl8_88
| ~ spl8_91 ),
inference(forward_demodulation,[],[f6698,f769]) ).
fof(f6698,plain,
( e1 = e2
| e2 = op(e1,e2)
| e2 = op(e0,e2)
| ~ spl8_74
| ~ spl8_88 ),
inference(duplicate_literal_removal,[],[f6697]) ).
fof(f6697,plain,
( e1 = e2
| e1 = e2
| e2 = op(e1,e2)
| e2 = op(e0,e2)
| ~ spl8_74
| ~ spl8_88 ),
inference(forward_demodulation,[],[f2402,f617]) ).
fof(f6692,plain,
( spl8_88
| spl8_4
| spl8_1
| ~ spl8_72
| ~ spl8_86
| ~ spl8_120 ),
inference(avatar_split_clause,[],[f6685,f2409,f728,f600,f254,f269,f737]) ).
fof(f6685,plain,
( e0 = e1
| e1 = e2
| e1 = op(e3,e2)
| ~ spl8_72
| ~ spl8_86
| ~ spl8_120 ),
inference(duplicate_literal_removal,[],[f6684]) ).
fof(f6684,plain,
( e0 = e1
| e0 = e1
| e1 = e2
| e1 = op(e3,e2)
| ~ spl8_72
| ~ spl8_86
| ~ spl8_120 ),
inference(forward_demodulation,[],[f6683,f729]) ).
fof(f6683,plain,
( e0 = e1
| e1 = e2
| e1 = op(e3,e2)
| e1 = op(e3,e0)
| ~ spl8_72
| ~ spl8_120 ),
inference(forward_demodulation,[],[f5940,f602]) ).
fof(f5940,plain,
( e1 = e2
| e1 = op(e3,e3)
| e1 = op(e3,e2)
| e1 = op(e3,e0)
| ~ spl8_120 ),
inference(forward_demodulation,[],[f151,f2411]) ).
fof(f6682,plain,
( spl8_120
| spl8_114
| spl8_2
| ~ spl8_72
| ~ spl8_86 ),
inference(avatar_split_clause,[],[f6667,f728,f600,f259,f1490,f2409]) ).
fof(f6667,plain,
( e0 = e2
| e2 = op(e3,e2)
| e2 = op(e3,e1)
| ~ spl8_72
| ~ spl8_86 ),
inference(duplicate_literal_removal,[],[f6666]) ).
fof(f6666,plain,
( e0 = e2
| e0 = e2
| e2 = op(e3,e2)
| e2 = op(e3,e1)
| ~ spl8_72
| ~ spl8_86 ),
inference(forward_demodulation,[],[f6636,f729]) ).
fof(f6636,plain,
( e0 = e2
| e2 = op(e3,e2)
| e2 = op(e3,e1)
| e2 = op(e3,e0)
| ~ spl8_72 ),
inference(forward_demodulation,[],[f153,f602]) ).
fof(f6680,plain,
( ~ spl8_103
| spl8_38
| ~ spl8_74 ),
inference(avatar_split_clause,[],[f1954,f615,f431,f1201]) ).
fof(f431,plain,
( spl8_38
<=> op(e1,e2) = op(e2,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_38])]) ).
fof(f1954,plain,
( e1 != op(e1,e2)
| spl8_38
| ~ spl8_74 ),
inference(superposition,[],[f433,f617]) ).
fof(f433,plain,
( op(e1,e2) != op(e2,e2)
| spl8_38 ),
inference(avatar_component_clause,[],[f431]) ).
fof(f6672,plain,
( spl8_115
| spl8_79
| spl8_3
| ~ spl8_72
| ~ spl8_86 ),
inference(avatar_split_clause,[],[f6665,f728,f600,f264,f665,f2007]) ).
fof(f6665,plain,
( e0 = e3
| e3 = op(e3,e2)
| e3 = op(e3,e1)
| ~ spl8_72
| ~ spl8_86 ),
inference(duplicate_literal_removal,[],[f6664]) ).
fof(f6664,plain,
( e0 = e3
| e0 = e3
| e3 = op(e3,e2)
| e3 = op(e3,e1)
| ~ spl8_72
| ~ spl8_86 ),
inference(forward_demodulation,[],[f5993,f729]) ).
fof(f5993,plain,
( e0 = e3
| e3 = op(e3,e2)
| e3 = op(e3,e1)
| e3 = op(e3,e0)
| ~ spl8_72 ),
inference(forward_demodulation,[],[f155,f602]) ).
fof(f6663,plain,
( spl8_114
| spl8_4
| spl8_2
| ~ spl8_72
| ~ spl8_86
| ~ spl8_104 ),
inference(avatar_split_clause,[],[f6639,f1207,f728,f600,f259,f269,f1490]) ).
fof(f6639,plain,
( e0 = e2
| e1 = e2
| e2 = op(e3,e2)
| ~ spl8_72
| ~ spl8_86
| ~ spl8_104 ),
inference(duplicate_literal_removal,[],[f6638]) ).
fof(f6638,plain,
( e0 = e2
| e1 = e2
| e0 = e2
| e2 = op(e3,e2)
| ~ spl8_72
| ~ spl8_86
| ~ spl8_104 ),
inference(forward_demodulation,[],[f6637,f729]) ).
fof(f6637,plain,
( e1 = e2
| e0 = e2
| e2 = op(e3,e2)
| e2 = op(e3,e0)
| ~ spl8_72
| ~ spl8_104 ),
inference(forward_demodulation,[],[f6636,f1209]) ).
fof(f6626,plain,
( spl8_109
| spl8_2
| spl8_4
| ~ spl8_72
| ~ spl8_85
| ~ spl8_92 ),
inference(avatar_split_clause,[],[f6608,f771,f723,f600,f269,f259,f1368]) ).
fof(f6608,plain,
( e1 = e2
| e0 = e2
| e2 = op(e2,e3)
| ~ spl8_72
| ~ spl8_85
| ~ spl8_92 ),
inference(forward_demodulation,[],[f6538,f724]) ).
fof(f6538,plain,
( e0 = e2
| e2 = op(e2,e3)
| e2 = op(e0,e3)
| ~ spl8_72
| ~ spl8_92 ),
inference(duplicate_literal_removal,[],[f6537]) ).
fof(f6537,plain,
( e0 = e2
| e0 = e2
| e2 = op(e2,e3)
| e2 = op(e0,e3)
| ~ spl8_72
| ~ spl8_92 ),
inference(forward_demodulation,[],[f1583,f773]) ).
fof(f6606,plain,
( spl8_108
| ~ spl8_85
| ~ spl8_94
| ~ spl8_104 ),
inference(avatar_split_clause,[],[f6604,f1207,f791,f723,f1363]) ).
fof(f6604,plain,
( e0 = op(e0,e3)
| ~ spl8_85
| ~ spl8_94
| ~ spl8_104 ),
inference(forward_demodulation,[],[f724,f4457]) ).
fof(f4457,plain,
( e0 = e1
| ~ spl8_94
| ~ spl8_104 ),
inference(superposition,[],[f793,f1209]) ).
fof(f6576,plain,
( spl8_105
| spl8_6
| spl8_4
| ~ spl8_74
| ~ spl8_84
| ~ spl8_116 ),
inference(avatar_split_clause,[],[f6559,f2019,f716,f615,f269,f279,f1311]) ).
fof(f6559,plain,
( e1 = e2
| e2 = e3
| e2 = op(e2,e1)
| ~ spl8_74
| ~ spl8_84
| ~ spl8_116 ),
inference(duplicate_literal_removal,[],[f6558]) ).
fof(f6558,plain,
( e1 = e2
| e2 = e3
| e1 = e2
| e2 = op(e2,e1)
| ~ spl8_74
| ~ spl8_84
| ~ spl8_116 ),
inference(forward_demodulation,[],[f6057,f717]) ).
fof(f6057,plain,
( e2 = e3
| e1 = e2
| e2 = op(e2,e3)
| e2 = op(e2,e1)
| ~ spl8_74
| ~ spl8_116 ),
inference(forward_demodulation,[],[f6031,f2021]) ).
fof(f6031,plain,
( e1 = e2
| e2 = op(e2,e3)
| e2 = op(e2,e1)
| e2 = op(e2,e0)
| ~ spl8_74 ),
inference(forward_demodulation,[],[f145,f617]) ).
fof(f6553,plain,
( spl8_116
| spl8_5
| spl8_3
| ~ spl8_74
| ~ spl8_84
| ~ spl8_93 ),
inference(avatar_split_clause,[],[f6542,f787,f716,f615,f264,f274,f2019]) ).
fof(f6542,plain,
( e0 = e3
| e1 = e3
| e3 = op(e2,e0)
| ~ spl8_74
| ~ spl8_84
| ~ spl8_93 ),
inference(forward_demodulation,[],[f6541,f789]) ).
fof(f6541,plain,
( e1 = e3
| e3 = op(e2,e1)
| e3 = op(e2,e0)
| ~ spl8_74
| ~ spl8_84 ),
inference(duplicate_literal_removal,[],[f6540]) ).
fof(f6540,plain,
( e1 = e3
| e1 = e3
| e3 = op(e2,e1)
| e3 = op(e2,e0)
| ~ spl8_74
| ~ spl8_84 ),
inference(forward_demodulation,[],[f4435,f617]) ).
fof(f6535,plain,
( spl8_85
| spl8_84
| spl8_1
| ~ spl8_72
| ~ spl8_92 ),
inference(avatar_split_clause,[],[f6523,f771,f600,f254,f716,f723]) ).
fof(f6523,plain,
( e0 = e1
| e1 = op(e2,e3)
| e1 = op(e0,e3)
| ~ spl8_72
| ~ spl8_92 ),
inference(duplicate_literal_removal,[],[f6522]) ).
fof(f6522,plain,
( e0 = e1
| e0 = e1
| e1 = op(e2,e3)
| e1 = op(e0,e3)
| ~ spl8_72
| ~ spl8_92 ),
inference(forward_demodulation,[],[f6433,f773]) ).
fof(f6433,plain,
( e0 = e1
| e1 = op(e2,e3)
| e1 = op(e1,e3)
| e1 = op(e0,e3)
| ~ spl8_72 ),
inference(forward_demodulation,[],[f152,f602]) ).
fof(f6518,plain,
( spl8_116
| spl8_6
| spl8_3
| ~ spl8_14
| ~ spl8_73
| ~ spl8_86
| ~ spl8_94
| ~ spl8_104 ),
inference(avatar_split_clause,[],[f6510,f1207,f791,f728,f610,f315,f264,f279,f2019]) ).
fof(f315,plain,
( spl8_14
<=> op(e0,e0) = e2 ),
introduced(avatar_definition,[new_symbols(naming,[spl8_14])]) ).
fof(f6510,plain,
( e0 = e3
| e2 = e3
| e3 = op(e2,e0)
| ~ spl8_14
| ~ spl8_73
| ~ spl8_86
| ~ spl8_94
| ~ spl8_104 ),
inference(duplicate_literal_removal,[],[f6509]) ).
fof(f6509,plain,
( e0 = e3
| e0 = e3
| e2 = e3
| e3 = op(e2,e0)
| ~ spl8_14
| ~ spl8_73
| ~ spl8_86
| ~ spl8_94
| ~ spl8_104 ),
inference(forward_demodulation,[],[f6508,f4457]) ).
fof(f6508,plain,
( e1 = e3
| e0 = e3
| e2 = e3
| e3 = op(e2,e0)
| ~ spl8_14
| ~ spl8_73
| ~ spl8_86 ),
inference(forward_demodulation,[],[f3704,f611]) ).
fof(f3704,plain,
( e0 = e3
| e2 = e3
| e3 = op(e2,e0)
| e3 = op(e1,e0)
| ~ spl8_14
| ~ spl8_86 ),
inference(forward_demodulation,[],[f3524,f729]) ).
fof(f3524,plain,
( e2 = e3
| e3 = op(e3,e0)
| e3 = op(e2,e0)
| e3 = op(e1,e0)
| ~ spl8_14 ),
inference(forward_demodulation,[],[f132,f317]) ).
fof(f317,plain,
( op(e0,e0) = e2
| ~ spl8_14 ),
inference(avatar_component_clause,[],[f315]) ).
fof(f6511,plain,
( spl8_86
| ~ spl8_94
| ~ spl8_104 ),
inference(avatar_split_clause,[],[f4660,f1207,f791,f728]) ).
fof(f4660,plain,
( e0 = op(e3,e0)
| ~ spl8_94
| ~ spl8_104 ),
inference(forward_demodulation,[],[f793,f4457]) ).
fof(f6480,plain,
( spl8_100
| spl8_3
| spl8_5
| spl8_6
| ~ spl8_14
| ~ spl8_73
| ~ spl8_95 ),
inference(avatar_split_clause,[],[f6441,f798,f610,f315,f279,f274,f264,f923]) ).
fof(f6441,plain,
( e2 = e3
| e1 = e3
| e0 = e3
| e3 = op(e3,e0)
| ~ spl8_14
| ~ spl8_73
| ~ spl8_95 ),
inference(forward_demodulation,[],[f6394,f317]) ).
fof(f6394,plain,
( e1 = e3
| e0 = e3
| e3 = op(e3,e0)
| op(e0,e0) = e3
| ~ spl8_73
| ~ spl8_95 ),
inference(forward_demodulation,[],[f2915,f611]) ).
fof(f6471,plain,
( spl8_111
| spl8_5
| spl8_6
| spl8_3
| ~ spl8_74
| ~ spl8_95
| ~ spl8_109 ),
inference(avatar_split_clause,[],[f6398,f1368,f798,f615,f264,f279,f274,f1386]) ).
fof(f6398,plain,
( e0 = e3
| e2 = e3
| e1 = e3
| e3 = op(e2,e1)
| ~ spl8_74
| ~ spl8_95
| ~ spl8_109 ),
inference(forward_demodulation,[],[f6397,f800]) ).
fof(f6397,plain,
( e2 = e3
| e1 = e3
| e3 = op(e2,e1)
| e3 = op(e2,e0)
| ~ spl8_74
| ~ spl8_109 ),
inference(forward_demodulation,[],[f6145,f1370]) ).
fof(f6431,plain,
( spl8_118
| spl8_6
| spl8_5
| spl8_3
| ~ spl8_74
| ~ spl8_91
| ~ spl8_114 ),
inference(avatar_split_clause,[],[f6408,f1490,f767,f615,f264,f274,f279,f2073]) ).
fof(f6408,plain,
( e0 = e3
| e1 = e3
| e2 = e3
| e3 = op(e0,e2)
| ~ spl8_74
| ~ spl8_91
| ~ spl8_114 ),
inference(forward_demodulation,[],[f6076,f769]) ).
fof(f6076,plain,
( e1 = e3
| e2 = e3
| e3 = op(e1,e2)
| e3 = op(e0,e2)
| ~ spl8_74
| ~ spl8_114 ),
inference(forward_demodulation,[],[f5004,f617]) ).
fof(f6426,plain,
( spl8_101
| spl8_3
| spl8_6
| spl8_5
| ~ spl8_72
| ~ spl8_85
| ~ spl8_109 ),
inference(avatar_split_clause,[],[f6360,f1368,f723,f600,f274,f279,f264,f929]) ).
fof(f6360,plain,
( e1 = e3
| e2 = e3
| e0 = e3
| e3 = op(e1,e3)
| ~ spl8_72
| ~ spl8_85
| ~ spl8_109 ),
inference(forward_demodulation,[],[f6359,f724]) ).
fof(f6359,plain,
( e2 = e3
| e0 = e3
| e3 = op(e1,e3)
| e3 = op(e0,e3)
| ~ spl8_72
| ~ spl8_109 ),
inference(forward_demodulation,[],[f6062,f1370]) ).
fof(f6420,plain,
( spl8_122
| spl8_6
| spl8_2
| spl8_4
| ~ spl8_8
| ~ spl8_73
| ~ spl8_91 ),
inference(avatar_split_clause,[],[f6358,f767,f610,f288,f269,f259,f279,f2494]) ).
fof(f6358,plain,
( e1 = e2
| e0 = e2
| e2 = e3
| e2 = op(e1,e3)
| ~ spl8_8
| ~ spl8_73
| ~ spl8_91 ),
inference(forward_demodulation,[],[f4985,f611]) ).
fof(f4985,plain,
( e0 = e2
| e2 = e3
| e2 = op(e1,e3)
| e2 = op(e1,e0)
| ~ spl8_8
| ~ spl8_91 ),
inference(forward_demodulation,[],[f4533,f769]) ).
fof(f4533,plain,
( e2 = e3
| e2 = op(e1,e3)
| e2 = op(e1,e2)
| e2 = op(e1,e0)
| ~ spl8_8 ),
inference(forward_demodulation,[],[f137,f290]) ).
fof(f6392,plain,
( spl8_104
| spl8_4
| spl8_1
| ~ spl8_72
| ~ spl8_86
| ~ spl8_114 ),
inference(avatar_split_clause,[],[f6357,f1490,f728,f600,f254,f269,f1207]) ).
fof(f6357,plain,
( e0 = e1
| e1 = e2
| e1 = op(e3,e1)
| ~ spl8_72
| ~ spl8_86
| ~ spl8_114 ),
inference(duplicate_literal_removal,[],[f6356]) ).
fof(f6356,plain,
( e0 = e1
| e0 = e1
| e1 = e2
| e1 = op(e3,e1)
| ~ spl8_72
| ~ spl8_86
| ~ spl8_114 ),
inference(forward_demodulation,[],[f6161,f729]) ).
fof(f6161,plain,
( e0 = e1
| e1 = e2
| e1 = op(e3,e1)
| e1 = op(e3,e0)
| ~ spl8_72
| ~ spl8_114 ),
inference(forward_demodulation,[],[f2103,f602]) ).
fof(f2103,plain,
( e1 = e2
| e1 = op(e3,e3)
| e1 = op(e3,e1)
| e1 = op(e3,e0)
| ~ spl8_114 ),
inference(forward_demodulation,[],[f151,f1492]) ).
fof(f6340,plain,
( spl8_4
| ~ spl8_74
| ~ spl8_109
| ~ spl8_114
| ~ spl8_121 ),
inference(avatar_split_clause,[],[f6268,f2434,f1490,f1368,f615,f269]) ).
fof(f6268,plain,
( e1 = e2
| ~ spl8_74
| ~ spl8_109
| ~ spl8_114
| ~ spl8_121 ),
inference(forward_demodulation,[],[f5523,f617]) ).
fof(f5523,plain,
( e2 = op(e2,e2)
| ~ spl8_109
| ~ spl8_114
| ~ spl8_121 ),
inference(forward_demodulation,[],[f1492,f2639]) ).
fof(f6247,plain,
( spl8_105
| spl8_4
| spl8_6
| spl8_2
| ~ spl8_8
| ~ spl8_90
| ~ spl8_104 ),
inference(avatar_split_clause,[],[f6224,f1207,f762,f288,f259,f279,f269,f1311]) ).
fof(f6224,plain,
( e0 = e2
| e2 = e3
| e1 = e2
| e2 = op(e2,e1)
| ~ spl8_8
| ~ spl8_90
| ~ spl8_104 ),
inference(forward_demodulation,[],[f6223,f763]) ).
fof(f6223,plain,
( e2 = e3
| e1 = e2
| e2 = op(e2,e1)
| e2 = op(e0,e1)
| ~ spl8_8
| ~ spl8_104 ),
inference(forward_demodulation,[],[f2440,f290]) ).
fof(f2440,plain,
( e1 = e2
| e2 = op(e2,e1)
| e2 = op(e1,e1)
| e2 = op(e0,e1)
| ~ spl8_104 ),
inference(forward_demodulation,[],[f138,f1209]) ).
fof(f6239,plain,
( spl8_121
| spl8_3
| spl8_6
| spl8_5
| ~ spl8_72
| ~ spl8_85
| ~ spl8_122 ),
inference(avatar_split_clause,[],[f6133,f2494,f723,f600,f274,f279,f264,f2434]) ).
fof(f6133,plain,
( e1 = e3
| e2 = e3
| e0 = e3
| e3 = op(e2,e3)
| ~ spl8_72
| ~ spl8_85
| ~ spl8_122 ),
inference(forward_demodulation,[],[f6063,f724]) ).
fof(f6063,plain,
( e2 = e3
| e0 = e3
| e3 = op(e2,e3)
| e3 = op(e0,e3)
| ~ spl8_72
| ~ spl8_122 ),
inference(forward_demodulation,[],[f6062,f2496]) ).
fof(f6234,plain,
( spl8_118
| spl8_5
| spl8_3
| spl8_6
| ~ spl8_14
| ~ spl8_85
| ~ spl8_90 ),
inference(avatar_split_clause,[],[f6129,f762,f723,f315,f279,f264,f274,f2073]) ).
fof(f6129,plain,
( e2 = e3
| e0 = e3
| e1 = e3
| e3 = op(e0,e2)
| ~ spl8_14
| ~ spl8_85
| ~ spl8_90 ),
inference(forward_demodulation,[],[f6128,f317]) ).
fof(f6128,plain,
( e0 = e3
| e1 = e3
| e3 = op(e0,e2)
| op(e0,e0) = e3
| ~ spl8_85
| ~ spl8_90 ),
inference(forward_demodulation,[],[f3070,f763]) ).
fof(f3070,plain,
( e1 = e3
| e3 = op(e0,e2)
| e3 = op(e0,e1)
| op(e0,e0) = e3
| ~ spl8_85 ),
inference(forward_demodulation,[],[f131,f724]) ).
fof(f6218,plain,
( spl8_116
| spl8_6
| spl8_5
| ~ spl8_74
| ~ spl8_109
| ~ spl8_125 ),
inference(avatar_split_clause,[],[f6202,f3692,f1368,f615,f274,f279,f2019]) ).
fof(f6202,plain,
( e1 = e3
| e2 = e3
| e3 = op(e2,e0)
| ~ spl8_74
| ~ spl8_109
| ~ spl8_125 ),
inference(duplicate_literal_removal,[],[f6201]) ).
fof(f6201,plain,
( e1 = e3
| e1 = e3
| e2 = e3
| e3 = op(e2,e0)
| ~ spl8_74
| ~ spl8_109
| ~ spl8_125 ),
inference(forward_demodulation,[],[f1461,f3694]) ).
fof(f1461,plain,
( e1 = e3
| e2 = e3
| e3 = op(e2,e1)
| e3 = op(e2,e0)
| ~ spl8_74
| ~ spl8_109 ),
inference(forward_demodulation,[],[f1460,f617]) ).
fof(f6200,plain,
( spl8_113
| spl8_2
| spl8_4
| ~ spl8_74
| ~ spl8_87
| ~ spl8_125 ),
inference(avatar_split_clause,[],[f6188,f3692,f733,f615,f269,f259,f1482]) ).
fof(f6188,plain,
( e1 = e2
| e0 = e2
| e2 = op(e2,e0)
| ~ spl8_74
| ~ spl8_87
| ~ spl8_125 ),
inference(duplicate_literal_removal,[],[f6187]) ).
fof(f6187,plain,
( e1 = e2
| e1 = e2
| e0 = e2
| e2 = op(e2,e0)
| ~ spl8_74
| ~ spl8_87
| ~ spl8_125 ),
inference(forward_demodulation,[],[f6186,f3694]) ).
fof(f6186,plain,
( e1 = e2
| e0 = e2
| e2 = op(e2,e1)
| e2 = op(e2,e0)
| ~ spl8_74
| ~ spl8_87 ),
inference(forward_demodulation,[],[f1997,f617]) ).
fof(f6183,plain,
( spl8_95
| spl8_87
| spl8_1
| ~ spl8_74
| ~ spl8_125 ),
inference(avatar_split_clause,[],[f6070,f3692,f615,f254,f733,f798]) ).
fof(f6070,plain,
( e0 = e1
| e0 = op(e2,e3)
| e0 = op(e2,e0)
| ~ spl8_74
| ~ spl8_125 ),
inference(duplicate_literal_removal,[],[f6069]) ).
fof(f6069,plain,
( e0 = e1
| e0 = e1
| e0 = op(e2,e3)
| e0 = op(e2,e0)
| ~ spl8_74
| ~ spl8_125 ),
inference(forward_demodulation,[],[f5935,f617]) ).
fof(f5935,plain,
( e0 = e1
| e0 = op(e2,e3)
| e0 = op(e2,e2)
| e0 = op(e2,e0)
| ~ spl8_125 ),
inference(forward_demodulation,[],[f141,f3694]) ).
fof(f6175,plain,
( spl8_21
| spl8_19
| spl8_1
| ~ spl8_74
| ~ spl8_100 ),
inference(avatar_split_clause,[],[f6167,f923,f615,f254,f338,f347]) ).
fof(f6167,plain,
( e0 = e1
| sP1
| sP0
| ~ spl8_74
| ~ spl8_100 ),
inference(forward_demodulation,[],[f5868,f617]) ).
fof(f5868,plain,
( e0 = op(e2,e2)
| sP1
| sP0
| ~ spl8_100 ),
inference(trivial_inequality_removal,[],[f2520]) ).
fof(f6163,plain,
( spl8_100
| spl8_3
| spl8_6
| ~ spl8_72
| ~ spl8_114
| ~ spl8_120 ),
inference(avatar_split_clause,[],[f6137,f2409,f1490,f600,f279,f264,f923]) ).
fof(f6137,plain,
( e2 = e3
| e0 = e3
| e3 = op(e3,e0)
| ~ spl8_72
| ~ spl8_114
| ~ spl8_120 ),
inference(duplicate_literal_removal,[],[f6136]) ).
fof(f6136,plain,
( e2 = e3
| e0 = e3
| e2 = e3
| e3 = op(e3,e0)
| ~ spl8_72
| ~ spl8_114
| ~ spl8_120 ),
inference(forward_demodulation,[],[f6135,f2411]) ).
fof(f6135,plain,
( e0 = e3
| e2 = e3
| e3 = op(e3,e1)
| e3 = op(e3,e0)
| ~ spl8_72
| ~ spl8_114 ),
inference(forward_demodulation,[],[f1976,f602]) ).
fof(f6160,plain,
( spl8_3
| spl8_6
| spl8_5
| ~ spl8_72
| ~ spl8_89
| ~ spl8_114
| ~ spl8_120 ),
inference(avatar_split_clause,[],[f6138,f2409,f1490,f744,f600,f274,f279,f264]) ).
fof(f6138,plain,
( e1 = e3
| e2 = e3
| e0 = e3
| ~ spl8_72
| ~ spl8_89
| ~ spl8_114
| ~ spl8_120 ),
inference(forward_demodulation,[],[f6137,f745]) ).
fof(f6125,plain,
( spl8_2
| ~ spl8_83
| ~ spl8_114 ),
inference(avatar_split_clause,[],[f4106,f1490,f712,f259]) ).
fof(f4106,plain,
( e0 = e2
| ~ spl8_83
| ~ spl8_114 ),
inference(superposition,[],[f1492,f713]) ).
fof(f6050,plain,
( spl8_97
| spl8_114
| spl8_4
| ~ spl8_74
| ~ spl8_103 ),
inference(avatar_split_clause,[],[f5985,f1201,f615,f269,f1490,f809]) ).
fof(f5985,plain,
( e1 = e2
| e2 = op(e3,e2)
| e2 = op(e0,e2)
| ~ spl8_74
| ~ spl8_103 ),
inference(duplicate_literal_removal,[],[f5984]) ).
fof(f5984,plain,
( e1 = e2
| e1 = e2
| e2 = op(e3,e2)
| e2 = op(e0,e2)
| ~ spl8_74
| ~ spl8_103 ),
inference(forward_demodulation,[],[f1301,f1202]) ).
fof(f6041,plain,
( spl8_112
| spl8_83
| spl8_1
| ~ spl8_74
| ~ spl8_103 ),
inference(avatar_split_clause,[],[f5980,f1201,f615,f254,f712,f1413]) ).
fof(f5980,plain,
( e0 = e1
| e0 = op(e3,e2)
| e0 = op(e0,e2)
| ~ spl8_74
| ~ spl8_103 ),
inference(duplicate_literal_removal,[],[f5979]) ).
fof(f5979,plain,
( e0 = e1
| e0 = e1
| e0 = op(e3,e2)
| e0 = op(e0,e2)
| ~ spl8_74
| ~ spl8_103 ),
inference(forward_demodulation,[],[f1297,f1202]) ).
fof(f1297,plain,
( e0 = e1
| e0 = op(e3,e2)
| e0 = op(e1,e2)
| e0 = op(e0,e2)
| ~ spl8_74 ),
inference(forward_demodulation,[],[f142,f617]) ).
fof(f6028,plain,
( spl8_1
| ~ spl8_93
| ~ spl8_125 ),
inference(avatar_split_clause,[],[f6021,f3692,f787,f254]) ).
fof(f6021,plain,
( e0 = e1
| ~ spl8_93
| ~ spl8_125 ),
inference(superposition,[],[f789,f3694]) ).
fof(f5976,plain,
( spl8_1
| ~ spl8_78
| ~ spl8_89
| ~ spl8_100 ),
inference(avatar_split_clause,[],[f5957,f923,f744,f660,f254]) ).
fof(f5957,plain,
( e0 = e1
| ~ spl8_78
| ~ spl8_89
| ~ spl8_100 ),
inference(forward_demodulation,[],[f5956,f661]) ).
fof(f5956,plain,
( e1 = op(e1,e0)
| ~ spl8_89
| ~ spl8_100 ),
inference(forward_demodulation,[],[f745,f5764]) ).
fof(f5764,plain,
( e1 = e3
| ~ spl8_89
| ~ spl8_100 ),
inference(superposition,[],[f745,f924]) ).
fof(f5930,plain,
( spl8_4
| ~ spl8_97
| ~ spl8_117 ),
inference(avatar_split_clause,[],[f5929,f2064,f809,f269]) ).
fof(f2064,plain,
( spl8_117
<=> e1 = op(e0,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_117])]) ).
fof(f5929,plain,
( e1 = e2
| ~ spl8_97
| ~ spl8_117 ),
inference(forward_demodulation,[],[f811,f2066]) ).
fof(f2066,plain,
( e1 = op(e0,e2)
| ~ spl8_117 ),
inference(avatar_component_clause,[],[f2064]) ).
fof(f5920,plain,
( spl8_97
| spl8_114
| spl8_2
| spl8_4
| ~ spl8_71
| ~ spl8_103 ),
inference(avatar_split_clause,[],[f5740,f1201,f596,f269,f259,f1490,f809]) ).
fof(f5740,plain,
( e1 = e2
| e0 = e2
| e2 = op(e3,e2)
| e2 = op(e0,e2)
| ~ spl8_71
| ~ spl8_103 ),
inference(forward_demodulation,[],[f2553,f1202]) ).
fof(f5914,plain,
( spl8_125
| spl8_104
| spl8_1
| spl8_5
| ~ spl8_8
| ~ spl8_90 ),
inference(avatar_split_clause,[],[f5617,f762,f288,f274,f254,f1207,f3692]) ).
fof(f5617,plain,
( e1 = e3
| e0 = e1
| e1 = op(e3,e1)
| e1 = op(e2,e1)
| ~ spl8_8
| ~ spl8_90 ),
inference(forward_demodulation,[],[f2524,f290]) ).
fof(f2524,plain,
( e0 = e1
| e1 = op(e3,e1)
| e1 = op(e2,e1)
| e1 = op(e1,e1)
| ~ spl8_90 ),
inference(forward_demodulation,[],[f136,f763]) ).
fof(f5900,plain,
( spl8_121
| spl8_3
| spl8_5
| ~ spl8_71
| ~ spl8_93
| ~ spl8_123 ),
inference(avatar_split_clause,[],[f5891,f2607,f787,f596,f274,f264,f2434]) ).
fof(f5891,plain,
( e1 = e3
| e0 = e3
| e3 = op(e2,e3)
| ~ spl8_71
| ~ spl8_93
| ~ spl8_123 ),
inference(forward_demodulation,[],[f5890,f2608]) ).
fof(f5890,plain,
( e0 = e3
| e3 = op(e2,e3)
| e3 = op(e2,e0)
| ~ spl8_71
| ~ spl8_93 ),
inference(duplicate_literal_removal,[],[f5816]) ).
fof(f5816,plain,
( e0 = e3
| e0 = e3
| e3 = op(e2,e3)
| e3 = op(e2,e0)
| ~ spl8_71
| ~ spl8_93 ),
inference(forward_demodulation,[],[f4958,f789]) ).
fof(f4958,plain,
( e0 = e3
| e3 = op(e2,e3)
| e3 = op(e2,e1)
| e3 = op(e2,e0)
| ~ spl8_71 ),
inference(forward_demodulation,[],[f147,f598]) ).
fof(f5888,plain,
( spl8_117
| spl8_85
| spl8_4
| spl8_1
| ~ spl8_14
| ~ spl8_90 ),
inference(avatar_split_clause,[],[f4892,f762,f315,f254,f269,f723,f2064]) ).
fof(f4892,plain,
( e0 = e1
| e1 = e2
| e1 = op(e0,e3)
| e1 = op(e0,e2)
| ~ spl8_14
| ~ spl8_90 ),
inference(forward_demodulation,[],[f3634,f763]) ).
fof(f3634,plain,
( e1 = e2
| e1 = op(e0,e3)
| e1 = op(e0,e2)
| e1 = op(e0,e1)
| ~ spl8_14 ),
inference(forward_demodulation,[],[f127,f317]) ).
fof(f5884,plain,
( spl8_72
| spl8_2
| spl8_3
| ~ spl8_79
| ~ spl8_100
| ~ spl8_120 ),
inference(avatar_split_clause,[],[f5871,f2409,f923,f665,f264,f259,f600]) ).
fof(f5871,plain,
( e0 = e3
| e0 = e2
| e0 = op(e3,e3)
| ~ spl8_79
| ~ spl8_100
| ~ spl8_120 ),
inference(duplicate_literal_removal,[],[f5870]) ).
fof(f5870,plain,
( e0 = e3
| e0 = e3
| e0 = e2
| e0 = op(e3,e3)
| ~ spl8_79
| ~ spl8_100
| ~ spl8_120 ),
inference(forward_demodulation,[],[f5727,f666]) ).
fof(f5727,plain,
( e0 = e3
| e0 = e2
| e0 = op(e3,e3)
| e0 = op(e3,e2)
| ~ spl8_100
| ~ spl8_120 ),
inference(forward_demodulation,[],[f2920,f924]) ).
fof(f2920,plain,
( e0 = e2
| e0 = op(e3,e3)
| e0 = op(e3,e2)
| e0 = op(e3,e0)
| ~ spl8_120 ),
inference(forward_demodulation,[],[f149,f2411]) ).
fof(f5867,plain,
( spl8_100
| spl8_6
| spl8_5
| spl8_3
| ~ spl8_14
| ~ spl8_78
| ~ spl8_123 ),
inference(avatar_split_clause,[],[f5862,f2607,f660,f315,f264,f274,f279,f923]) ).
fof(f5862,plain,
( e0 = e3
| e1 = e3
| e2 = e3
| e3 = op(e3,e0)
| ~ spl8_14
| ~ spl8_78
| ~ spl8_123 ),
inference(forward_demodulation,[],[f4341,f661]) ).
fof(f4341,plain,
( e1 = e3
| e2 = e3
| e3 = op(e3,e0)
| e3 = op(e1,e0)
| ~ spl8_14
| ~ spl8_123 ),
inference(forward_demodulation,[],[f3524,f2608]) ).
fof(f5858,plain,
( spl8_72
| spl8_3
| spl8_2
| spl8_1
| ~ spl8_79
| ~ spl8_89
| ~ spl8_120 ),
inference(avatar_split_clause,[],[f5835,f2409,f744,f665,f254,f259,f264,f600]) ).
fof(f5835,plain,
( e0 = e1
| e0 = e2
| e0 = e3
| e0 = op(e3,e3)
| ~ spl8_79
| ~ spl8_89
| ~ spl8_120 ),
inference(forward_demodulation,[],[f5834,f745]) ).
fof(f5834,plain,
( e0 = e2
| e0 = e3
| e0 = op(e3,e3)
| e0 = op(e3,e0)
| ~ spl8_79
| ~ spl8_120 ),
inference(forward_demodulation,[],[f3762,f2411]) ).
fof(f3762,plain,
( e0 = e3
| e0 = op(e3,e3)
| e0 = op(e3,e1)
| e0 = op(e3,e0)
| ~ spl8_79 ),
inference(forward_demodulation,[],[f149,f666]) ).
fof(f5853,plain,
( spl8_116
| spl8_5
| spl8_3
| spl8_6
| ~ spl8_14
| ~ spl8_78
| ~ spl8_89 ),
inference(avatar_split_clause,[],[f5761,f744,f660,f315,f279,f264,f274,f2019]) ).
fof(f5761,plain,
( e2 = e3
| e0 = e3
| e1 = e3
| e3 = op(e2,e0)
| ~ spl8_14
| ~ spl8_78
| ~ spl8_89 ),
inference(forward_demodulation,[],[f5760,f317]) ).
fof(f5760,plain,
( e0 = e3
| e1 = e3
| e3 = op(e2,e0)
| op(e0,e0) = e3
| ~ spl8_78
| ~ spl8_89 ),
inference(forward_demodulation,[],[f3136,f661]) ).
fof(f3136,plain,
( e1 = e3
| e3 = op(e2,e0)
| e3 = op(e1,e0)
| op(e0,e0) = e3
| ~ spl8_89 ),
inference(forward_demodulation,[],[f132,f745]) ).
fof(f5847,plain,
( spl8_123
| spl8_84
| spl8_1
| ~ spl8_71
| ~ spl8_93 ),
inference(avatar_split_clause,[],[f5815,f787,f596,f254,f716,f2607]) ).
fof(f5815,plain,
( e0 = e1
| e1 = op(e2,e3)
| e1 = op(e2,e0)
| ~ spl8_71
| ~ spl8_93 ),
inference(duplicate_literal_removal,[],[f5814]) ).
fof(f5814,plain,
( e0 = e1
| e0 = e1
| e1 = op(e2,e3)
| e1 = op(e2,e0)
| ~ spl8_71
| ~ spl8_93 ),
inference(forward_demodulation,[],[f4933,f789]) ).
fof(f4933,plain,
( e0 = e1
| e1 = op(e2,e3)
| e1 = op(e2,e1)
| e1 = op(e2,e0)
| ~ spl8_71 ),
inference(forward_demodulation,[],[f143,f598]) ).
fof(f143,plain,
( e1 = op(e2,e3)
| e1 = op(e2,e2)
| e1 = op(e2,e1)
| e1 = op(e2,e0) ),
inference(cnf_transformation,[],[f2]) ).
fof(f5831,plain,
( spl8_79
| spl8_6
| spl8_5
| ~ spl8_75
| ~ spl8_89
| ~ spl8_120 ),
inference(avatar_split_clause,[],[f3074,f2409,f744,f619,f274,f279,f665]) ).
fof(f3074,plain,
( e1 = e3
| e2 = e3
| e3 = op(e3,e2)
| ~ spl8_75
| ~ spl8_89
| ~ spl8_120 ),
inference(duplicate_literal_removal,[],[f3073]) ).
fof(f3073,plain,
( e1 = e3
| e2 = e3
| e1 = e3
| e3 = op(e3,e2)
| ~ spl8_75
| ~ spl8_89
| ~ spl8_120 ),
inference(forward_demodulation,[],[f2921,f745]) ).
fof(f2921,plain,
( e2 = e3
| e1 = e3
| e3 = op(e3,e2)
| e3 = op(e3,e0)
| ~ spl8_75
| ~ spl8_120 ),
inference(forward_demodulation,[],[f2401,f2411]) ).
fof(f2401,plain,
( e1 = e3
| e3 = op(e3,e2)
| e3 = op(e3,e1)
| e3 = op(e3,e0)
| ~ spl8_75 ),
inference(forward_demodulation,[],[f155,f621]) ).
fof(f621,plain,
( e1 = op(e3,e3)
| ~ spl8_75 ),
inference(avatar_component_clause,[],[f619]) ).
fof(f5812,plain,
( spl8_1
| spl8_123
| ~ spl8_71
| ~ spl8_89
| ~ spl8_93
| ~ spl8_100 ),
inference(avatar_split_clause,[],[f5787,f923,f787,f744,f596,f2607,f254]) ).
fof(f5787,plain,
( e1 = op(e2,e0)
| e0 = e1
| ~ spl8_71
| ~ spl8_89
| ~ spl8_93
| ~ spl8_100 ),
inference(forward_demodulation,[],[f5786,f5764]) ).
fof(f5786,plain,
( e0 = e1
| e3 = op(e2,e0)
| ~ spl8_71
| ~ spl8_89
| ~ spl8_93
| ~ spl8_100 ),
inference(duplicate_literal_removal,[],[f5785]) ).
fof(f5785,plain,
( e0 = e1
| e0 = e1
| e3 = op(e2,e0)
| ~ spl8_71
| ~ spl8_89
| ~ spl8_93
| ~ spl8_100 ),
inference(forward_demodulation,[],[f5784,f5764]) ).
fof(f5784,plain,
( e0 = e3
| e0 = e1
| e3 = op(e2,e0)
| ~ spl8_71
| ~ spl8_89
| ~ spl8_93
| ~ spl8_100 ),
inference(forward_demodulation,[],[f5783,f789]) ).
fof(f5783,plain,
( e0 = e1
| e3 = op(e2,e1)
| e3 = op(e2,e0)
| ~ spl8_71
| ~ spl8_89
| ~ spl8_93
| ~ spl8_100 ),
inference(duplicate_literal_removal,[],[f5782]) ).
fof(f5782,plain,
( e0 = e1
| e0 = e1
| e3 = op(e2,e1)
| e3 = op(e2,e0)
| ~ spl8_71
| ~ spl8_89
| ~ spl8_93
| ~ spl8_100 ),
inference(forward_demodulation,[],[f5781,f789]) ).
fof(f5781,plain,
( e1 = op(e2,e1)
| e0 = e1
| e3 = op(e2,e1)
| e3 = op(e2,e0)
| ~ spl8_71
| ~ spl8_89
| ~ spl8_100 ),
inference(forward_demodulation,[],[f5780,f5764]) ).
fof(f5780,plain,
( e0 = e1
| e3 = op(e2,e3)
| e3 = op(e2,e1)
| e3 = op(e2,e0)
| ~ spl8_71
| ~ spl8_89
| ~ spl8_100 ),
inference(forward_demodulation,[],[f4958,f5764]) ).
fof(f5798,plain,
( ~ spl8_99
| ~ spl8_89
| ~ spl8_100
| spl8_119 ),
inference(avatar_split_clause,[],[f5788,f2077,f923,f744,f851]) ).
fof(f5788,plain,
( e1 != op(e0,e1)
| ~ spl8_89
| ~ spl8_100
| spl8_119 ),
inference(forward_demodulation,[],[f2078,f5764]) ).
fof(f2078,plain,
( e3 != op(e0,e3)
| spl8_119 ),
inference(avatar_component_clause,[],[f2077]) ).
fof(f5771,plain,
( spl8_108
| spl8_72
| spl8_2
| spl8_3
| ~ spl8_121
| ~ spl8_122 ),
inference(avatar_split_clause,[],[f5704,f2494,f2434,f264,f259,f600,f1363]) ).
fof(f5704,plain,
( e0 = e3
| e0 = e2
| e0 = op(e3,e3)
| e0 = op(e0,e3)
| ~ spl8_121
| ~ spl8_122 ),
inference(forward_demodulation,[],[f5104,f2436]) ).
fof(f5104,plain,
( e0 = e2
| e0 = op(e3,e3)
| e0 = op(e2,e3)
| e0 = op(e0,e3)
| ~ spl8_122 ),
inference(forward_demodulation,[],[f150,f2496]) ).
fof(f5758,plain,
( spl8_123
| spl8_89
| spl8_4
| spl8_1
| ~ spl8_14
| ~ spl8_78 ),
inference(avatar_split_clause,[],[f5702,f660,f315,f254,f269,f744,f2607]) ).
fof(f5702,plain,
( e0 = e1
| e1 = e2
| e1 = op(e3,e0)
| e1 = op(e2,e0)
| ~ spl8_14
| ~ spl8_78 ),
inference(forward_demodulation,[],[f3529,f661]) ).
fof(f3529,plain,
( e1 = e2
| e1 = op(e3,e0)
| e1 = op(e2,e0)
| e1 = op(e1,e0)
| ~ spl8_14 ),
inference(forward_demodulation,[],[f128,f317]) ).
fof(f5753,plain,
( spl8_118
| spl8_3
| spl8_5
| spl8_6
| ~ spl8_14
| ~ spl8_99
| ~ spl8_108 ),
inference(avatar_split_clause,[],[f5745,f1363,f851,f315,f279,f274,f264,f2073]) ).
fof(f5745,plain,
( e2 = e3
| e1 = e3
| e0 = e3
| e3 = op(e0,e2)
| ~ spl8_14
| ~ spl8_99
| ~ spl8_108 ),
inference(forward_demodulation,[],[f5744,f317]) ).
fof(f5744,plain,
( e1 = e3
| e0 = e3
| e3 = op(e0,e2)
| op(e0,e0) = e3
| ~ spl8_99
| ~ spl8_108 ),
inference(forward_demodulation,[],[f3626,f853]) ).
fof(f3626,plain,
( e0 = e3
| e3 = op(e0,e2)
| e3 = op(e0,e1)
| op(e0,e0) = e3
| ~ spl8_108 ),
inference(forward_demodulation,[],[f131,f1364]) ).
fof(f5742,plain,
( spl8_114
| spl8_2
| spl8_4
| spl8_6
| ~ spl8_71
| ~ spl8_103
| ~ spl8_118 ),
inference(avatar_split_clause,[],[f5736,f2073,f1201,f596,f279,f269,f259,f1490]) ).
fof(f5736,plain,
( e2 = e3
| e1 = e2
| e0 = e2
| e2 = op(e3,e2)
| ~ spl8_71
| ~ spl8_103
| ~ spl8_118 ),
inference(forward_demodulation,[],[f5192,f2075]) ).
fof(f5192,plain,
( e1 = e2
| e0 = e2
| e2 = op(e3,e2)
| e2 = op(e0,e2)
| ~ spl8_71
| ~ spl8_103 ),
inference(forward_demodulation,[],[f2553,f1202]) ).
fof(f5726,plain,
( spl8_72
| spl8_2
| spl8_3
| ~ spl8_100
| ~ spl8_114
| ~ spl8_120 ),
inference(avatar_split_clause,[],[f5711,f2409,f1490,f923,f264,f259,f600]) ).
fof(f5711,plain,
( e0 = e3
| e0 = e2
| e0 = op(e3,e3)
| ~ spl8_100
| ~ spl8_114
| ~ spl8_120 ),
inference(forward_demodulation,[],[f5710,f924]) ).
fof(f5710,plain,
( e0 = e2
| e0 = op(e3,e3)
| e0 = op(e3,e0)
| ~ spl8_114
| ~ spl8_120 ),
inference(duplicate_literal_removal,[],[f5709]) ).
fof(f5709,plain,
( e0 = e2
| e0 = e2
| e0 = op(e3,e3)
| e0 = op(e3,e0)
| ~ spl8_114
| ~ spl8_120 ),
inference(forward_demodulation,[],[f2920,f1492]) ).
fof(f5706,plain,
( spl8_72
| spl8_3
| spl8_2
| spl8_1
| ~ spl8_85
| ~ spl8_121
| ~ spl8_122 ),
inference(avatar_split_clause,[],[f5703,f2494,f2434,f723,f254,f259,f264,f600]) ).
fof(f5703,plain,
( e0 = e1
| e0 = e2
| e0 = e3
| e0 = op(e3,e3)
| ~ spl8_85
| ~ spl8_121
| ~ spl8_122 ),
inference(forward_demodulation,[],[f3430,f724]) ).
fof(f3430,plain,
( e0 = e2
| e0 = e3
| e0 = op(e3,e3)
| e0 = op(e0,e3)
| ~ spl8_121
| ~ spl8_122 ),
inference(forward_demodulation,[],[f2914,f2496]) ).
fof(f2914,plain,
( e0 = e3
| e0 = op(e3,e3)
| e0 = op(e1,e3)
| e0 = op(e0,e3)
| ~ spl8_121 ),
inference(forward_demodulation,[],[f150,f2436]) ).
fof(f5701,plain,
( spl8_89
| spl8_1
| ~ spl8_14
| ~ spl8_78
| ~ spl8_107 ),
inference(avatar_split_clause,[],[f5694,f1356,f660,f315,f254,f744]) ).
fof(f5694,plain,
( e0 = e1
| e1 = op(e3,e0)
| ~ spl8_14
| ~ spl8_78
| ~ spl8_107 ),
inference(duplicate_literal_removal,[],[f5693]) ).
fof(f5693,plain,
( e0 = e1
| e0 = e1
| e1 = op(e3,e0)
| ~ spl8_14
| ~ spl8_78
| ~ spl8_107 ),
inference(forward_demodulation,[],[f5692,f5685]) ).
fof(f5692,plain,
( e1 = e2
| e0 = e1
| e1 = op(e3,e0)
| ~ spl8_14
| ~ spl8_78
| ~ spl8_107 ),
inference(forward_demodulation,[],[f5691,f317]) ).
fof(f5691,plain,
( op(e0,e0) = e1
| e0 = e1
| e1 = op(e3,e0)
| ~ spl8_14
| ~ spl8_78
| ~ spl8_107 ),
inference(forward_demodulation,[],[f5690,f5685]) ).
fof(f5690,plain,
( e0 = e1
| e1 = op(e3,e0)
| e1 = op(e2,e0)
| ~ spl8_14
| ~ spl8_78
| ~ spl8_107 ),
inference(duplicate_literal_removal,[],[f5689]) ).
fof(f5689,plain,
( e0 = e1
| e0 = e1
| e1 = op(e3,e0)
| e1 = op(e2,e0)
| ~ spl8_14
| ~ spl8_78
| ~ spl8_107 ),
inference(forward_demodulation,[],[f5100,f5685]) ).
fof(f5100,plain,
( e0 = e1
| e1 = e2
| e1 = op(e3,e0)
| e1 = op(e2,e0)
| ~ spl8_14
| ~ spl8_78 ),
inference(forward_demodulation,[],[f3529,f661]) ).
fof(f5688,plain,
( spl8_89
| spl8_4
| spl8_1
| ~ spl8_14
| ~ spl8_78
| ~ spl8_95 ),
inference(avatar_split_clause,[],[f5662,f798,f660,f315,f254,f269,f744]) ).
fof(f5662,plain,
( e0 = e1
| e1 = e2
| e1 = op(e3,e0)
| ~ spl8_14
| ~ spl8_78
| ~ spl8_95 ),
inference(duplicate_literal_removal,[],[f5661]) ).
fof(f5661,plain,
( e0 = e1
| e0 = e1
| e1 = e2
| e1 = op(e3,e0)
| ~ spl8_14
| ~ spl8_78
| ~ spl8_95 ),
inference(forward_demodulation,[],[f5100,f800]) ).
fof(f5638,plain,
( spl8_85
| spl8_4
| spl8_1
| spl8_5
| ~ spl8_14
| ~ spl8_90
| ~ spl8_118 ),
inference(avatar_split_clause,[],[f5587,f2073,f762,f315,f274,f254,f269,f723]) ).
fof(f5587,plain,
( e1 = e3
| e0 = e1
| e1 = e2
| e1 = op(e0,e3)
| ~ spl8_14
| ~ spl8_90
| ~ spl8_118 ),
inference(forward_demodulation,[],[f4892,f2075]) ).
fof(f5627,plain,
( spl8_88
| spl8_4
| spl8_1
| spl8_5
| ~ spl8_71
| ~ spl8_102
| ~ spl8_118 ),
inference(avatar_split_clause,[],[f5581,f2073,f1058,f596,f274,f254,f269,f737]) ).
fof(f5581,plain,
( e1 = e3
| e0 = e1
| e1 = e2
| e1 = op(e3,e2)
| ~ spl8_71
| ~ spl8_102
| ~ spl8_118 ),
inference(forward_demodulation,[],[f5533,f2075]) ).
fof(f5533,plain,
( e0 = e1
| e1 = e2
| e1 = op(e3,e2)
| e1 = op(e0,e2)
| ~ spl8_71
| ~ spl8_102 ),
inference(forward_demodulation,[],[f4433,f598]) ).
fof(f5625,plain,
( ~ spl8_84
| spl8_46
| ~ spl8_75 ),
inference(avatar_split_clause,[],[f1981,f619,f471,f716]) ).
fof(f471,plain,
( spl8_46
<=> op(e2,e3) = op(e3,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_46])]) ).
fof(f1981,plain,
( e1 != op(e2,e3)
| spl8_46
| ~ spl8_75 ),
inference(superposition,[],[f473,f621]) ).
fof(f473,plain,
( op(e2,e3) != op(e3,e3)
| spl8_46 ),
inference(avatar_component_clause,[],[f471]) ).
fof(f5615,plain,
( spl8_125
| spl8_1
| spl8_5
| ~ spl8_8
| ~ spl8_90
| ~ spl8_94 ),
inference(avatar_split_clause,[],[f5590,f791,f762,f288,f274,f254,f3692]) ).
fof(f5590,plain,
( e1 = e3
| e0 = e1
| e1 = op(e2,e1)
| ~ spl8_8
| ~ spl8_90
| ~ spl8_94 ),
inference(forward_demodulation,[],[f5589,f290]) ).
fof(f5589,plain,
( e0 = e1
| e1 = op(e2,e1)
| e1 = op(e1,e1)
| ~ spl8_90
| ~ spl8_94 ),
inference(duplicate_literal_removal,[],[f5588]) ).
fof(f5588,plain,
( e0 = e1
| e0 = e1
| e1 = op(e2,e1)
| e1 = op(e1,e1)
| ~ spl8_90
| ~ spl8_94 ),
inference(forward_demodulation,[],[f2524,f793]) ).
fof(f5578,plain,
( spl8_78
| ~ spl8_73
| ~ spl8_95
| ~ spl8_107 ),
inference(avatar_split_clause,[],[f5577,f1356,f798,f610,f660]) ).
fof(f5577,plain,
( e0 = op(e1,e0)
| ~ spl8_73
| ~ spl8_95
| ~ spl8_107 ),
inference(forward_demodulation,[],[f800,f1421]) ).
fof(f1421,plain,
( e1 = e2
| ~ spl8_73
| ~ spl8_107 ),
inference(superposition,[],[f611,f1358]) ).
fof(f5572,plain,
( spl8_95
| spl8_86
| spl8_1
| spl8_2
| ~ spl8_14
| ~ spl8_73 ),
inference(avatar_split_clause,[],[f5340,f610,f315,f259,f254,f728,f798]) ).
fof(f5340,plain,
( e0 = e2
| e0 = e1
| e0 = op(e3,e0)
| e0 = op(e2,e0)
| ~ spl8_14
| ~ spl8_73 ),
inference(forward_demodulation,[],[f1445,f317]) ).
fof(f5568,plain,
( spl8_118
| spl8_3
| spl8_6
| ~ spl8_71
| ~ spl8_102
| ~ spl8_114 ),
inference(avatar_split_clause,[],[f5531,f1490,f1058,f596,f279,f264,f2073]) ).
fof(f5531,plain,
( e2 = e3
| e0 = e3
| e3 = op(e0,e2)
| ~ spl8_71
| ~ spl8_102
| ~ spl8_114 ),
inference(duplicate_literal_removal,[],[f5530]) ).
fof(f5530,plain,
( e2 = e3
| e2 = e3
| e0 = e3
| e3 = op(e0,e2)
| ~ spl8_71
| ~ spl8_102
| ~ spl8_114 ),
inference(forward_demodulation,[],[f4999,f1060]) ).
fof(f4999,plain,
( e2 = e3
| e0 = e3
| e3 = op(e1,e2)
| e3 = op(e0,e2)
| ~ spl8_71
| ~ spl8_114 ),
inference(forward_demodulation,[],[f2547,f1492]) ).
fof(f2547,plain,
( e0 = e3
| e3 = op(e3,e2)
| e3 = op(e1,e2)
| e3 = op(e0,e2)
| ~ spl8_71 ),
inference(forward_demodulation,[],[f148,f598]) ).
fof(f5528,plain,
( spl8_2
| ~ spl8_71
| ~ spl8_109
| ~ spl8_114
| ~ spl8_121 ),
inference(avatar_split_clause,[],[f5524,f2434,f1490,f1368,f596,f259]) ).
fof(f5524,plain,
( e0 = e2
| ~ spl8_71
| ~ spl8_109
| ~ spl8_114
| ~ spl8_121 ),
inference(forward_demodulation,[],[f5523,f598]) ).
fof(f5462,plain,
( spl8_5
| ~ spl8_73
| ~ spl8_124 ),
inference(avatar_split_clause,[],[f5341,f3514,f610,f274]) ).
fof(f5341,plain,
( e1 = e3
| ~ spl8_73
| ~ spl8_124 ),
inference(superposition,[],[f611,f3516]) ).
fof(f5426,plain,
( spl8_2
| ~ spl8_73
| ~ spl8_93
| ~ spl8_109
| ~ spl8_124 ),
inference(avatar_split_clause,[],[f5424,f3514,f1368,f787,f610,f259]) ).
fof(f5424,plain,
( e0 = e2
| ~ spl8_73
| ~ spl8_93
| ~ spl8_109
| ~ spl8_124 ),
inference(forward_demodulation,[],[f5423,f789]) ).
fof(f5423,plain,
( e2 = op(e2,e1)
| ~ spl8_73
| ~ spl8_109
| ~ spl8_124 ),
inference(forward_demodulation,[],[f1370,f5341]) ).
fof(f5354,plain,
( spl8_105
| spl8_120
| spl8_6
| spl8_4
| ~ spl8_8
| ~ spl8_99 ),
inference(avatar_split_clause,[],[f5323,f851,f288,f269,f279,f2409,f1311]) ).
fof(f5323,plain,
( e1 = e2
| e2 = e3
| e2 = op(e3,e1)
| e2 = op(e2,e1)
| ~ spl8_8
| ~ spl8_99 ),
inference(forward_demodulation,[],[f5322,f853]) ).
fof(f5344,plain,
( spl8_107
| spl8_102
| spl8_6
| spl8_2
| ~ spl8_8
| ~ spl8_92 ),
inference(avatar_split_clause,[],[f5282,f771,f288,f259,f279,f1058,f1356]) ).
fof(f5282,plain,
( e0 = e2
| e2 = e3
| e2 = op(e1,e2)
| e2 = op(e1,e0)
| ~ spl8_8
| ~ spl8_92 ),
inference(forward_demodulation,[],[f4533,f773]) ).
fof(f5336,plain,
( spl8_73
| spl8_103
| spl8_5
| spl8_1
| ~ spl8_8
| ~ spl8_92 ),
inference(avatar_split_clause,[],[f5241,f771,f288,f254,f274,f1201,f610]) ).
fof(f5241,plain,
( e0 = e1
| e1 = e3
| e1 = op(e1,e2)
| e1 = op(e1,e0)
| ~ spl8_8
| ~ spl8_92 ),
inference(forward_demodulation,[],[f4535,f773]) ).
fof(f4535,plain,
( e1 = e3
| e1 = op(e1,e3)
| e1 = op(e1,e2)
| e1 = op(e1,e0)
| ~ spl8_8 ),
inference(forward_demodulation,[],[f135,f290]) ).
fof(f5321,plain,
( spl8_105
| spl8_2
| spl8_6
| spl8_4
| ~ spl8_8
| ~ spl8_94
| ~ spl8_99 ),
inference(avatar_split_clause,[],[f5292,f851,f791,f288,f269,f279,f259,f1311]) ).
fof(f5292,plain,
( e1 = e2
| e2 = e3
| e0 = e2
| e2 = op(e2,e1)
| ~ spl8_8
| ~ spl8_94
| ~ spl8_99 ),
inference(forward_demodulation,[],[f5291,f853]) ).
fof(f5291,plain,
( e2 = e3
| e0 = e2
| e2 = op(e2,e1)
| e2 = op(e0,e1)
| ~ spl8_8
| ~ spl8_94 ),
inference(forward_demodulation,[],[f5290,f290]) ).
fof(f5290,plain,
( e0 = e2
| e2 = op(e2,e1)
| e2 = op(e1,e1)
| e2 = op(e0,e1)
| ~ spl8_94 ),
inference(forward_demodulation,[],[f138,f793]) ).
fof(f5318,plain,
( spl8_99
| spl8_117
| spl8_4
| spl8_1
| ~ spl8_14
| ~ spl8_108 ),
inference(avatar_split_clause,[],[f4874,f1363,f315,f254,f269,f2064,f851]) ).
fof(f4874,plain,
( e0 = e1
| e1 = e2
| e1 = op(e0,e2)
| e1 = op(e0,e1)
| ~ spl8_14
| ~ spl8_108 ),
inference(forward_demodulation,[],[f3634,f1364]) ).
fof(f5317,plain,
( spl8_90
| spl8_108
| spl8_2
| spl8_3
| ~ spl8_14
| ~ spl8_118 ),
inference(avatar_split_clause,[],[f5139,f2073,f315,f264,f259,f1363,f762]) ).
fof(f5139,plain,
( e0 = e3
| e0 = e2
| e0 = op(e0,e3)
| e0 = op(e0,e1)
| ~ spl8_14
| ~ spl8_118 ),
inference(forward_demodulation,[],[f3635,f2075]) ).
fof(f3635,plain,
( e0 = e2
| e0 = op(e0,e3)
| e0 = op(e0,e2)
| e0 = op(e0,e1)
| ~ spl8_14 ),
inference(forward_demodulation,[],[f125,f317]) ).
fof(f5313,plain,
( spl8_78
| spl8_86
| spl8_2
| spl8_3
| ~ spl8_14
| ~ spl8_116 ),
inference(avatar_split_clause,[],[f4476,f2019,f315,f264,f259,f728,f660]) ).
fof(f4476,plain,
( e0 = e3
| e0 = e2
| e0 = op(e3,e0)
| e0 = op(e1,e0)
| ~ spl8_14
| ~ spl8_116 ),
inference(forward_demodulation,[],[f3528,f2021]) ).
fof(f3528,plain,
( e0 = e2
| e0 = op(e3,e0)
| e0 = op(e2,e0)
| e0 = op(e1,e0)
| ~ spl8_14 ),
inference(forward_demodulation,[],[f126,f317]) ).
fof(f5307,plain,
( spl8_110
| spl8_118
| spl8_6
| ~ spl8_14
| ~ spl8_98 ),
inference(avatar_split_clause,[],[f5197,f813,f315,f279,f2073,f1382]) ).
fof(f5197,plain,
( e2 = e3
| e3 = op(e0,e2)
| e3 = op(e0,e1)
| ~ spl8_14
| ~ spl8_98 ),
inference(duplicate_literal_removal,[],[f5196]) ).
fof(f5196,plain,
( e2 = e3
| e2 = e3
| e3 = op(e0,e2)
| e3 = op(e0,e1)
| ~ spl8_14
| ~ spl8_98 ),
inference(forward_demodulation,[],[f3639,f815]) ).
fof(f3639,plain,
( e2 = e3
| e3 = op(e0,e3)
| e3 = op(e0,e2)
| e3 = op(e0,e1)
| ~ spl8_14 ),
inference(forward_demodulation,[],[f131,f317]) ).
fof(f5304,plain,
( spl8_118
| spl8_6
| spl8_5
| ~ spl8_14
| ~ spl8_98
| ~ spl8_99 ),
inference(avatar_split_clause,[],[f5193,f851,f813,f315,f274,f279,f2073]) ).
fof(f5193,plain,
( e1 = e3
| e2 = e3
| e3 = op(e0,e2)
| ~ spl8_14
| ~ spl8_98
| ~ spl8_99 ),
inference(forward_demodulation,[],[f4872,f853]) ).
fof(f4872,plain,
( e2 = e3
| e3 = op(e0,e2)
| e3 = op(e0,e1)
| ~ spl8_14
| ~ spl8_98 ),
inference(duplicate_literal_removal,[],[f4871]) ).
fof(f4871,plain,
( e2 = e3
| e2 = e3
| e3 = op(e0,e2)
| e3 = op(e0,e1)
| ~ spl8_14
| ~ spl8_98 ),
inference(forward_demodulation,[],[f3639,f815]) ).
fof(f5303,plain,
( ~ spl8_91
| spl8_38
| ~ spl8_71 ),
inference(avatar_split_clause,[],[f697,f596,f431,f767]) ).
fof(f697,plain,
( e0 != op(e1,e2)
| spl8_38
| ~ spl8_71 ),
inference(superposition,[],[f433,f598]) ).
fof(f5280,plain,
( spl8_2
| ~ spl8_86
| ~ spl8_106 ),
inference(avatar_split_clause,[],[f4042,f1324,f728,f259]) ).
fof(f4042,plain,
( e0 = e2
| ~ spl8_86
| ~ spl8_106 ),
inference(superposition,[],[f729,f1326]) ).
fof(f5217,plain,
( spl8_6
| ~ spl8_107
| ~ spl8_124 ),
inference(avatar_split_clause,[],[f5199,f3514,f1356,f279]) ).
fof(f5199,plain,
( e2 = e3
| ~ spl8_107
| ~ spl8_124 ),
inference(forward_demodulation,[],[f3516,f1358]) ).
fof(f5179,plain,
( spl8_123
| spl8_84
| spl8_1
| spl8_4
| ~ spl8_71
| ~ spl8_105 ),
inference(avatar_split_clause,[],[f4934,f1311,f596,f269,f254,f716,f2607]) ).
fof(f4934,plain,
( e1 = e2
| e0 = e1
| e1 = op(e2,e3)
| e1 = op(e2,e0)
| ~ spl8_71
| ~ spl8_105 ),
inference(forward_demodulation,[],[f4933,f1312]) ).
fof(f5172,plain,
( spl8_98
| spl8_109
| spl8_4
| spl8_2
| ~ spl8_75
| ~ spl8_92 ),
inference(avatar_split_clause,[],[f2237,f771,f619,f259,f269,f1368,f813]) ).
fof(f2237,plain,
( e0 = e2
| e1 = e2
| e2 = op(e2,e3)
| e2 = op(e0,e3)
| ~ spl8_75
| ~ spl8_92 ),
inference(forward_demodulation,[],[f2035,f773]) ).
fof(f2035,plain,
( e1 = e2
| e2 = op(e2,e3)
| e2 = op(e1,e3)
| e2 = op(e0,e3)
| ~ spl8_75 ),
inference(forward_demodulation,[],[f154,f621]) ).
fof(f5160,plain,
( spl8_119
| spl8_121
| spl8_5
| spl8_3
| ~ spl8_75
| ~ spl8_92 ),
inference(avatar_split_clause,[],[f2234,f771,f619,f264,f274,f2434,f2077]) ).
fof(f2234,plain,
( e0 = e3
| e1 = e3
| e3 = op(e2,e3)
| e3 = op(e0,e3)
| ~ spl8_75
| ~ spl8_92 ),
inference(forward_demodulation,[],[f2201,f773]) ).
fof(f2201,plain,
( e1 = e3
| e3 = op(e2,e3)
| e3 = op(e1,e3)
| e3 = op(e0,e3)
| ~ spl8_75 ),
inference(forward_demodulation,[],[f156,f621]) ).
fof(f5157,plain,
( spl8_107
| spl8_2
| spl8_6
| spl8_4
| ~ spl8_8
| ~ spl8_92
| ~ spl8_103 ),
inference(avatar_split_clause,[],[f5142,f1201,f771,f288,f269,f279,f259,f1356]) ).
fof(f5142,plain,
( e1 = e2
| e2 = e3
| e0 = e2
| e2 = op(e1,e0)
| ~ spl8_8
| ~ spl8_92
| ~ spl8_103 ),
inference(forward_demodulation,[],[f2638,f1202]) ).
fof(f2638,plain,
( e2 = e3
| e0 = e2
| e2 = op(e1,e2)
| e2 = op(e1,e0)
| ~ spl8_8
| ~ spl8_92 ),
inference(forward_demodulation,[],[f2637,f290]) ).
fof(f2637,plain,
( e0 = e2
| e2 = op(e1,e2)
| e2 = op(e1,e1)
| e2 = op(e1,e0)
| ~ spl8_92 ),
inference(forward_demodulation,[],[f137,f773]) ).
fof(f5155,plain,
( spl8_99
| spl8_4
| spl8_5
| spl8_1
| ~ spl8_8
| ~ spl8_94
| ~ spl8_105 ),
inference(avatar_split_clause,[],[f5105,f1311,f791,f288,f254,f274,f269,f851]) ).
fof(f5105,plain,
( e0 = e1
| e1 = e3
| e1 = e2
| e1 = op(e0,e1)
| ~ spl8_8
| ~ spl8_94
| ~ spl8_105 ),
inference(forward_demodulation,[],[f4942,f793]) ).
fof(f4942,plain,
( e1 = e3
| e1 = e2
| e1 = op(e3,e1)
| e1 = op(e0,e1)
| ~ spl8_8
| ~ spl8_105 ),
inference(forward_demodulation,[],[f4941,f290]) ).
fof(f4941,plain,
( e1 = e2
| e1 = op(e3,e1)
| e1 = op(e1,e1)
| e1 = op(e0,e1)
| ~ spl8_105 ),
inference(forward_demodulation,[],[f136,f1312]) ).
fof(f5136,plain,
( spl8_104
| spl8_1
| spl8_4
| spl8_5
| ~ spl8_8
| ~ spl8_90
| ~ spl8_105 ),
inference(avatar_split_clause,[],[f5122,f1311,f762,f288,f274,f269,f254,f1207]) ).
fof(f5122,plain,
( e1 = e3
| e1 = e2
| e0 = e1
| e1 = op(e3,e1)
| ~ spl8_8
| ~ spl8_90
| ~ spl8_105 ),
inference(forward_demodulation,[],[f4944,f290]) ).
fof(f4944,plain,
( e1 = e2
| e0 = e1
| e1 = op(e3,e1)
| e1 = op(e1,e1)
| ~ spl8_90
| ~ spl8_105 ),
inference(forward_demodulation,[],[f2524,f1312]) ).
fof(f5130,plain,
( spl8_118
| spl8_6
| spl8_3
| spl8_5
| ~ spl8_71
| ~ spl8_103
| ~ spl8_114 ),
inference(avatar_split_clause,[],[f5106,f1490,f1201,f596,f274,f264,f279,f2073]) ).
fof(f5106,plain,
( e1 = e3
| e0 = e3
| e2 = e3
| e3 = op(e0,e2)
| ~ spl8_71
| ~ spl8_103
| ~ spl8_114 ),
inference(forward_demodulation,[],[f5005,f1202]) ).
fof(f5005,plain,
( e0 = e3
| e2 = e3
| e3 = op(e1,e2)
| e3 = op(e0,e2)
| ~ spl8_71
| ~ spl8_114 ),
inference(forward_demodulation,[],[f5004,f598]) ).
fof(f5129,plain,
( ~ spl8_94
| ~ spl8_8
| ~ spl8_122 ),
inference(avatar_split_clause,[],[f5103,f2494,f288,f791]) ).
fof(f5103,plain,
( e0 != op(e3,e1)
| ~ spl8_8
| ~ spl8_122 ),
inference(trivial_inequality_removal,[],[f5102]) ).
fof(f5121,plain,
( spl8_2
| ~ spl8_93
| ~ spl8_105 ),
inference(avatar_split_clause,[],[f4541,f1311,f787,f259]) ).
fof(f4541,plain,
( e0 = e2
| ~ spl8_93
| ~ spl8_105 ),
inference(superposition,[],[f789,f1312]) ).
fof(f5116,plain,
( ~ spl8_75
| ~ spl8_94
| ~ spl8_122 ),
inference(avatar_split_clause,[],[f5099,f2494,f791,f619]) ).
fof(f5099,plain,
( e1 != op(e3,e3)
| ~ spl8_94
| ~ spl8_122 ),
inference(trivial_inequality_removal,[],[f5098]) ).
fof(f5098,plain,
( e0 != e0
| e1 != op(e3,e3)
| ~ spl8_94
| ~ spl8_122 ),
inference(forward_demodulation,[],[f5097,f793]) ).
fof(f5097,plain,
( e1 != op(e3,e3)
| e0 != op(e3,e1)
| ~ spl8_122 ),
inference(trivial_inequality_removal,[],[f5096]) ).
fof(f5096,plain,
( e2 != e2
| e1 != op(e3,e3)
| e0 != op(e3,e1)
| ~ spl8_122 ),
inference(forward_demodulation,[],[f231,f2496]) ).
fof(f231,plain,
( e1 != op(e3,e3)
| e2 != op(e1,e3)
| e0 != op(e3,e1) ),
inference(inner_rewriting,[],[f207]) ).
fof(f207,plain,
( e1 != op(e3,e3)
| e2 != op(op(e3,e3),e3)
| e0 != op(e3,op(e3,e3)) ),
inference(cnf_transformation,[],[f32]) ).
fof(f32,plain,
( e1 != op(e3,e3)
| e2 != op(op(e3,e3),e3)
| e0 != op(e3,op(e3,e3)) ),
inference(ennf_transformation,[],[f8]) ).
fof(f8,axiom,
~ ( e1 = op(e3,e3)
& e2 = op(op(e3,e3),e3)
& e0 = op(e3,op(e3,e3)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax8) ).
fof(f5095,plain,
( spl8_12
| ~ spl8_103
| ~ spl8_122
| ~ spl8_126 ),
inference(avatar_split_clause,[],[f5092,f3732,f2494,f1201,f306]) ).
fof(f5092,plain,
( e2 = op(e1,e1)
| ~ spl8_103
| ~ spl8_122
| ~ spl8_126 ),
inference(forward_demodulation,[],[f2496,f5049]) ).
fof(f5049,plain,
( e1 = e3
| ~ spl8_103
| ~ spl8_126 ),
inference(superposition,[],[f1202,f3734]) ).
fof(f5063,plain,
( spl8_4
| ~ spl8_102
| ~ spl8_103 ),
inference(avatar_split_clause,[],[f5062,f1201,f1058,f269]) ).
fof(f5062,plain,
( e1 = e2
| ~ spl8_102
| ~ spl8_103 ),
inference(forward_demodulation,[],[f1060,f1202]) ).
fof(f5055,plain,
( spl8_102
| spl8_122
| spl8_2
| spl8_6
| ~ spl8_8
| ~ spl8_78 ),
inference(avatar_split_clause,[],[f4867,f660,f288,f279,f259,f2494,f1058]) ).
fof(f4867,plain,
( e2 = e3
| e0 = e2
| e2 = op(e1,e3)
| e2 = op(e1,e2)
| ~ spl8_8
| ~ spl8_78 ),
inference(forward_demodulation,[],[f2923,f290]) ).
fof(f2923,plain,
( e0 = e2
| e2 = op(e1,e3)
| e2 = op(e1,e2)
| e2 = op(e1,e1)
| ~ spl8_78 ),
inference(forward_demodulation,[],[f137,f661]) ).
fof(f5048,plain,
( spl8_103
| spl8_82
| spl8_5
| spl8_1
| ~ spl8_8
| ~ spl8_78 ),
inference(avatar_split_clause,[],[f4536,f660,f288,f254,f274,f707,f1201]) ).
fof(f4536,plain,
( e0 = e1
| e1 = e3
| e1 = op(e1,e3)
| e1 = op(e1,e2)
| ~ spl8_8
| ~ spl8_78 ),
inference(forward_demodulation,[],[f4535,f661]) ).
fof(f5039,plain,
( spl8_100
| spl8_115
| spl8_6
| spl8_5
| ~ spl8_75
| ~ spl8_114 ),
inference(avatar_split_clause,[],[f4336,f1490,f619,f274,f279,f2007,f923]) ).
fof(f4336,plain,
( e1 = e3
| e2 = e3
| e3 = op(e3,e1)
| e3 = op(e3,e0)
| ~ spl8_75
| ~ spl8_114 ),
inference(forward_demodulation,[],[f1976,f621]) ).
fof(f5037,plain,
( spl8_110
| spl8_6
| spl8_3
| spl8_5
| ~ spl8_14
| ~ spl8_108
| ~ spl8_117 ),
inference(avatar_split_clause,[],[f5018,f2064,f1363,f315,f274,f264,f279,f1382]) ).
fof(f5018,plain,
( e1 = e3
| e0 = e3
| e2 = e3
| e3 = op(e0,e1)
| ~ spl8_14
| ~ spl8_108
| ~ spl8_117 ),
inference(forward_demodulation,[],[f4184,f2066]) ).
fof(f4184,plain,
( e0 = e3
| e2 = e3
| e3 = op(e0,e2)
| e3 = op(e0,e1)
| ~ spl8_14
| ~ spl8_108 ),
inference(forward_demodulation,[],[f3639,f1364]) ).
fof(f5029,plain,
( spl8_126
| spl8_6
| spl8_3
| spl8_5
| ~ spl8_71
| ~ spl8_114
| ~ spl8_117 ),
inference(avatar_split_clause,[],[f5011,f2064,f1490,f596,f274,f264,f279,f3732]) ).
fof(f5011,plain,
( e1 = e3
| e0 = e3
| e2 = e3
| e3 = op(e1,e2)
| ~ spl8_71
| ~ spl8_114
| ~ spl8_117 ),
inference(forward_demodulation,[],[f5005,f2066]) ).
fof(f5014,plain,
( spl8_119
| spl8_3
| spl8_5
| spl8_6
| ~ spl8_14
| ~ spl8_90
| ~ spl8_117 ),
inference(avatar_split_clause,[],[f2090,f2064,f762,f315,f279,f274,f264,f2077]) ).
fof(f2090,plain,
( e2 = e3
| e1 = e3
| e0 = e3
| e3 = op(e0,e3)
| ~ spl8_14
| ~ spl8_90
| ~ spl8_117 ),
inference(forward_demodulation,[],[f2089,f317]) ).
fof(f2089,plain,
( e1 = e3
| e0 = e3
| e3 = op(e0,e3)
| op(e0,e0) = e3
| ~ spl8_90
| ~ spl8_117 ),
inference(forward_demodulation,[],[f2057,f2066]) ).
fof(f2057,plain,
( e0 = e3
| e3 = op(e0,e3)
| e3 = op(e0,e2)
| op(e0,e0) = e3
| ~ spl8_90 ),
inference(forward_demodulation,[],[f131,f763]) ).
fof(f5010,plain,
( spl8_3
| spl8_6
| spl8_5
| ~ spl8_71
| ~ spl8_91
| ~ spl8_114
| ~ spl8_117 ),
inference(avatar_split_clause,[],[f4988,f2064,f1490,f767,f596,f274,f279,f264]) ).
fof(f4988,plain,
( e1 = e3
| e2 = e3
| e0 = e3
| ~ spl8_71
| ~ spl8_91
| ~ spl8_114
| ~ spl8_117 ),
inference(forward_demodulation,[],[f4987,f2066]) ).
fof(f4987,plain,
( e2 = e3
| e0 = e3
| e3 = op(e0,e2)
| ~ spl8_71
| ~ spl8_91
| ~ spl8_114 ),
inference(forward_demodulation,[],[f4952,f1492]) ).
fof(f4952,plain,
( e0 = e3
| e3 = op(e3,e2)
| e3 = op(e0,e2)
| ~ spl8_71
| ~ spl8_91 ),
inference(duplicate_literal_removal,[],[f2548]) ).
fof(f2548,plain,
( e0 = e3
| e0 = e3
| e3 = op(e3,e2)
| e3 = op(e0,e2)
| ~ spl8_71
| ~ spl8_91 ),
inference(forward_demodulation,[],[f2547,f769]) ).
fof(f4984,plain,
( spl8_6
| ~ spl8_79
| ~ spl8_114 ),
inference(avatar_split_clause,[],[f4970,f1490,f665,f279]) ).
fof(f4970,plain,
( e2 = e3
| ~ spl8_79
| ~ spl8_114 ),
inference(superposition,[],[f1492,f666]) ).
fof(f4982,plain,
( ~ spl8_116
| ~ spl8_14
| ~ spl8_117 ),
inference(avatar_split_clause,[],[f4670,f2064,f315,f2019]) ).
fof(f4670,plain,
( e3 != op(e2,e0)
| ~ spl8_14
| ~ spl8_117 ),
inference(trivial_inequality_removal,[],[f4474]) ).
fof(f4474,plain,
( e1 != e1
| e3 != op(e2,e0)
| ~ spl8_14
| ~ spl8_117 ),
inference(forward_demodulation,[],[f2766,f2066]) ).
fof(f2766,plain,
( e3 != op(e2,e0)
| e1 != op(e0,e2)
| ~ spl8_14 ),
inference(trivial_inequality_removal,[],[f2765]) ).
fof(f2765,plain,
( e2 != e2
| e3 != op(e2,e0)
| e1 != op(e0,e2)
| ~ spl8_14 ),
inference(forward_demodulation,[],[f251,f317]) ).
fof(f251,plain,
( op(e0,e0) != e2
| e3 != op(e2,e0)
| e1 != op(e0,e2) ),
inference(inner_rewriting,[],[f227]) ).
fof(f227,plain,
( op(e0,e0) != e2
| e3 != op(op(e0,e0),e0)
| e1 != op(e0,op(e0,e0)) ),
inference(cnf_transformation,[],[f52]) ).
fof(f52,plain,
( op(e0,e0) != e2
| e3 != op(op(e0,e0),e0)
| e1 != op(e0,op(e0,e0)) ),
inference(ennf_transformation,[],[f17]) ).
fof(f17,axiom,
~ ( op(e0,e0) = e2
& e3 = op(op(e0,e0),e0)
& e1 = op(e0,op(e0,e0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax17) ).
fof(f4948,plain,
( spl8_4
| ~ spl8_89
| ~ spl8_106 ),
inference(avatar_split_clause,[],[f3096,f1324,f744,f269]) ).
fof(f3096,plain,
( e1 = e2
| ~ spl8_89
| ~ spl8_106 ),
inference(forward_demodulation,[],[f1326,f745]) ).
fof(f4947,plain,
( spl8_89
| spl8_4
| spl8_5
| spl8_1
| ~ spl8_14
| ~ spl8_78
| ~ spl8_116 ),
inference(avatar_split_clause,[],[f4881,f2019,f660,f315,f254,f274,f269,f744]) ).
fof(f4881,plain,
( e0 = e1
| e1 = e3
| e1 = e2
| e1 = op(e3,e0)
| ~ spl8_14
| ~ spl8_78
| ~ spl8_116 ),
inference(forward_demodulation,[],[f4880,f661]) ).
fof(f4880,plain,
( e1 = e3
| e1 = e2
| e1 = op(e3,e0)
| e1 = op(e1,e0)
| ~ spl8_14
| ~ spl8_116 ),
inference(forward_demodulation,[],[f3529,f2021]) ).
fof(f4930,plain,
( spl8_6
| ~ spl8_101
| ~ spl8_122 ),
inference(avatar_split_clause,[],[f4903,f2494,f929,f279]) ).
fof(f4903,plain,
( e2 = e3
| ~ spl8_101
| ~ spl8_122 ),
inference(superposition,[],[f2496,f931]) ).
fof(f4910,plain,
( spl8_72
| spl8_3
| spl8_1
| spl8_2
| ~ spl8_79
| ~ spl8_104
| ~ spl8_106 ),
inference(avatar_split_clause,[],[f4361,f1324,f1207,f665,f259,f254,f264,f600]) ).
fof(f4361,plain,
( e0 = e2
| e0 = e1
| e0 = e3
| e0 = op(e3,e3)
| ~ spl8_79
| ~ spl8_104
| ~ spl8_106 ),
inference(forward_demodulation,[],[f4360,f1326]) ).
fof(f4360,plain,
( e0 = e1
| e0 = e3
| e0 = op(e3,e3)
| e0 = op(e3,e0)
| ~ spl8_79
| ~ spl8_104 ),
inference(forward_demodulation,[],[f3762,f1209]) ).
fof(f4900,plain,
( spl8_72
| spl8_2
| spl8_3
| spl8_1
| ~ spl8_84
| ~ spl8_98
| ~ spl8_101 ),
inference(avatar_split_clause,[],[f4483,f929,f813,f716,f254,f264,f259,f600]) ).
fof(f4483,plain,
( e0 = e1
| e0 = e3
| e0 = e2
| e0 = op(e3,e3)
| ~ spl8_84
| ~ spl8_98
| ~ spl8_101 ),
inference(forward_demodulation,[],[f4371,f717]) ).
fof(f4894,plain,
( spl8_118
| spl8_3
| spl8_6
| ~ spl8_14
| ~ spl8_90
| ~ spl8_98 ),
inference(avatar_split_clause,[],[f4870,f813,f762,f315,f279,f264,f2073]) ).
fof(f4870,plain,
( e2 = e3
| e0 = e3
| e3 = op(e0,e2)
| ~ spl8_14
| ~ spl8_90
| ~ spl8_98 ),
inference(duplicate_literal_removal,[],[f4869]) ).
fof(f4869,plain,
( e2 = e3
| e2 = e3
| e0 = e3
| e3 = op(e0,e2)
| ~ spl8_14
| ~ spl8_90
| ~ spl8_98 ),
inference(forward_demodulation,[],[f4849,f317]) ).
fof(f4849,plain,
( e2 = e3
| e0 = e3
| e3 = op(e0,e2)
| op(e0,e0) = e3
| ~ spl8_90
| ~ spl8_98 ),
inference(forward_demodulation,[],[f2057,f815]) ).
fof(f4891,plain,
( spl8_122
| spl8_4
| spl8_2
| ~ spl8_75
| ~ spl8_84
| ~ spl8_108 ),
inference(avatar_split_clause,[],[f3604,f1363,f716,f619,f259,f269,f2494]) ).
fof(f3604,plain,
( e0 = e2
| e1 = e2
| e2 = op(e1,e3)
| ~ spl8_75
| ~ spl8_84
| ~ spl8_108 ),
inference(forward_demodulation,[],[f3603,f1364]) ).
fof(f3603,plain,
( e1 = e2
| e2 = op(e1,e3)
| e2 = op(e0,e3)
| ~ spl8_75
| ~ spl8_84 ),
inference(duplicate_literal_removal,[],[f3602]) ).
fof(f3602,plain,
( e1 = e2
| e1 = e2
| e2 = op(e1,e3)
| e2 = op(e0,e3)
| ~ spl8_75
| ~ spl8_84 ),
inference(forward_demodulation,[],[f2208,f717]) ).
fof(f2208,plain,
( e1 = e2
| e2 = op(e2,e3)
| e2 = op(e1,e3)
| e2 = op(e0,e3)
| ~ spl8_75 ),
inference(forward_demodulation,[],[f154,f621]) ).
fof(f4866,plain,
( spl8_4
| ~ spl8_84
| ~ spl8_109 ),
inference(avatar_split_clause,[],[f4569,f1368,f716,f269]) ).
fof(f4569,plain,
( e1 = e2
| ~ spl8_84
| ~ spl8_109 ),
inference(forward_demodulation,[],[f1370,f717]) ).
fof(f4784,plain,
( spl8_6
| ~ spl8_14
| ~ spl8_94
| ~ spl8_104
| ~ spl8_124 ),
inference(avatar_split_clause,[],[f4692,f3514,f1207,f791,f315,f279]) ).
fof(f4692,plain,
( e2 = e3
| ~ spl8_14
| ~ spl8_94
| ~ spl8_104
| ~ spl8_124 ),
inference(forward_demodulation,[],[f4691,f317]) ).
fof(f4691,plain,
( op(e0,e0) = e3
| ~ spl8_94
| ~ spl8_104
| ~ spl8_124 ),
inference(forward_demodulation,[],[f3516,f4457]) ).
fof(f4740,plain,
( spl8_3
| ~ spl8_14
| ~ spl8_85
| ~ spl8_94
| ~ spl8_98
| ~ spl8_104
| ~ spl8_124 ),
inference(avatar_split_clause,[],[f4694,f3514,f1207,f813,f791,f723,f315,f264]) ).
fof(f4694,plain,
( e0 = e3
| ~ spl8_14
| ~ spl8_85
| ~ spl8_94
| ~ spl8_98
| ~ spl8_104
| ~ spl8_124 ),
inference(forward_demodulation,[],[f4693,f4457]) ).
fof(f4693,plain,
( e1 = e3
| ~ spl8_14
| ~ spl8_85
| ~ spl8_94
| ~ spl8_98
| ~ spl8_104
| ~ spl8_124 ),
inference(forward_demodulation,[],[f4692,f1517]) ).
fof(f1517,plain,
( e1 = e2
| ~ spl8_85
| ~ spl8_98 ),
inference(superposition,[],[f724,f815]) ).
fof(f4662,plain,
( spl8_3
| ~ spl8_78
| ~ spl8_124 ),
inference(avatar_split_clause,[],[f4632,f3514,f660,f264]) ).
fof(f4632,plain,
( e0 = e3
| ~ spl8_78
| ~ spl8_124 ),
inference(forward_demodulation,[],[f3516,f661]) ).
fof(f4578,plain,
( spl8_1
| ~ spl8_84
| ~ spl8_93
| ~ spl8_105
| ~ spl8_109 ),
inference(avatar_split_clause,[],[f4570,f1368,f1311,f787,f716,f254]) ).
fof(f4570,plain,
( e0 = e1
| ~ spl8_84
| ~ spl8_93
| ~ spl8_105
| ~ spl8_109 ),
inference(forward_demodulation,[],[f4569,f4541]) ).
fof(f4559,plain,
( spl8_85
| spl8_5
| spl8_1
| ~ spl8_14
| ~ spl8_93
| ~ spl8_105
| ~ spl8_110 ),
inference(avatar_split_clause,[],[f4553,f1382,f1311,f787,f315,f254,f274,f723]) ).
fof(f4553,plain,
( e0 = e1
| e1 = e3
| e1 = op(e0,e3)
| ~ spl8_14
| ~ spl8_93
| ~ spl8_105
| ~ spl8_110 ),
inference(duplicate_literal_removal,[],[f4552]) ).
fof(f4552,plain,
( e0 = e1
| e0 = e1
| e1 = e3
| e1 = op(e0,e3)
| ~ spl8_14
| ~ spl8_93
| ~ spl8_105
| ~ spl8_110 ),
inference(forward_demodulation,[],[f4551,f4541]) ).
fof(f4551,plain,
( e1 = e2
| e0 = e1
| e1 = e3
| e1 = op(e0,e3)
| ~ spl8_14
| ~ spl8_93
| ~ spl8_105
| ~ spl8_110 ),
inference(forward_demodulation,[],[f4550,f317]) ).
fof(f4550,plain,
( op(e0,e0) = e1
| e0 = e1
| e1 = e3
| e1 = op(e0,e3)
| ~ spl8_14
| ~ spl8_93
| ~ spl8_105
| ~ spl8_110 ),
inference(forward_demodulation,[],[f4549,f4541]) ).
fof(f4549,plain,
( e0 = e1
| e1 = e3
| e1 = op(e0,e3)
| e1 = op(e0,e2)
| ~ spl8_14
| ~ spl8_93
| ~ spl8_105
| ~ spl8_110 ),
inference(forward_demodulation,[],[f4308,f4541]) ).
fof(f4308,plain,
( e1 = e3
| e1 = e2
| e1 = op(e0,e3)
| e1 = op(e0,e2)
| ~ spl8_14
| ~ spl8_110 ),
inference(forward_demodulation,[],[f3634,f1384]) ).
fof(f4548,plain,
( spl8_117
| spl8_4
| spl8_5
| spl8_1
| ~ spl8_14
| ~ spl8_108
| ~ spl8_110 ),
inference(avatar_split_clause,[],[f4531,f1382,f1363,f315,f254,f274,f269,f2064]) ).
fof(f4531,plain,
( e0 = e1
| e1 = e3
| e1 = e2
| e1 = op(e0,e2)
| ~ spl8_14
| ~ spl8_108
| ~ spl8_110 ),
inference(forward_demodulation,[],[f4308,f1364]) ).
fof(f4529,plain,
( spl8_86
| spl8_3
| spl8_2
| ~ spl8_14
| ~ spl8_94
| ~ spl8_104
| ~ spl8_116 ),
inference(avatar_split_clause,[],[f4479,f2019,f1207,f791,f315,f259,f264,f728]) ).
fof(f4479,plain,
( e0 = e2
| e0 = e3
| e0 = op(e3,e0)
| ~ spl8_14
| ~ spl8_94
| ~ spl8_104
| ~ spl8_116 ),
inference(duplicate_literal_removal,[],[f4478]) ).
fof(f4478,plain,
( e0 = e2
| e0 = e3
| e0 = e2
| e0 = op(e3,e0)
| ~ spl8_14
| ~ spl8_94
| ~ spl8_104
| ~ spl8_116 ),
inference(forward_demodulation,[],[f4477,f317]) ).
fof(f4477,plain,
( e0 = op(e0,e0)
| e0 = e3
| e0 = e2
| e0 = op(e3,e0)
| ~ spl8_14
| ~ spl8_94
| ~ spl8_104
| ~ spl8_116 ),
inference(forward_demodulation,[],[f4476,f4457]) ).
fof(f4501,plain,
( ~ spl8_116
| ~ spl8_14
| ~ spl8_117 ),
inference(avatar_split_clause,[],[f4475,f2064,f315,f2019]) ).
fof(f4475,plain,
( e3 != op(e2,e0)
| ~ spl8_14
| ~ spl8_117 ),
inference(trivial_inequality_removal,[],[f4474]) ).
fof(f4473,plain,
( spl8_3
| ~ spl8_14
| ~ spl8_91
| ~ spl8_102
| ~ spl8_116 ),
inference(avatar_split_clause,[],[f4472,f2019,f1058,f767,f315,f264]) ).
fof(f4472,plain,
( e0 = e3
| ~ spl8_14
| ~ spl8_91
| ~ spl8_102
| ~ spl8_116 ),
inference(forward_demodulation,[],[f4471,f4451]) ).
fof(f4451,plain,
( e0 = e2
| ~ spl8_91
| ~ spl8_102 ),
inference(superposition,[],[f769,f1060]) ).
fof(f4471,plain,
( e2 = e3
| ~ spl8_14
| ~ spl8_91
| ~ spl8_102
| ~ spl8_116 ),
inference(forward_demodulation,[],[f4470,f317]) ).
fof(f4470,plain,
( op(e0,e0) = e3
| ~ spl8_91
| ~ spl8_102
| ~ spl8_116 ),
inference(forward_demodulation,[],[f2021,f4451]) ).
fof(f4468,plain,
( spl8_124
| spl8_116
| spl8_6
| ~ spl8_14
| ~ spl8_106 ),
inference(avatar_split_clause,[],[f4368,f1324,f315,f279,f2019,f3514]) ).
fof(f4368,plain,
( e2 = e3
| e3 = op(e2,e0)
| e3 = op(e1,e0)
| ~ spl8_14
| ~ spl8_106 ),
inference(duplicate_literal_removal,[],[f4367]) ).
fof(f4367,plain,
( e2 = e3
| e2 = e3
| e3 = op(e2,e0)
| e3 = op(e1,e0)
| ~ spl8_14
| ~ spl8_106 ),
inference(forward_demodulation,[],[f3524,f1326]) ).
fof(f4415,plain,
( spl8_124
| spl8_3
| spl8_6
| ~ spl8_14
| ~ spl8_95
| ~ spl8_106 ),
inference(avatar_split_clause,[],[f4374,f1324,f798,f315,f279,f264,f3514]) ).
fof(f4374,plain,
( e2 = e3
| e0 = e3
| e3 = op(e1,e0)
| ~ spl8_14
| ~ spl8_95
| ~ spl8_106 ),
inference(duplicate_literal_removal,[],[f4373]) ).
fof(f4373,plain,
( e2 = e3
| e2 = e3
| e0 = e3
| e3 = op(e1,e0)
| ~ spl8_14
| ~ spl8_95
| ~ spl8_106 ),
inference(forward_demodulation,[],[f3767,f1326]) ).
fof(f3767,plain,
( e2 = e3
| e0 = e3
| e3 = op(e3,e0)
| e3 = op(e1,e0)
| ~ spl8_14
| ~ spl8_95 ),
inference(forward_demodulation,[],[f2915,f317]) ).
fof(f4355,plain,
( spl8_3
| ~ spl8_79
| ~ spl8_86
| ~ spl8_106 ),
inference(avatar_split_clause,[],[f4354,f1324,f728,f665,f264]) ).
fof(f4354,plain,
( e0 = e3
| ~ spl8_79
| ~ spl8_86
| ~ spl8_106 ),
inference(forward_demodulation,[],[f4353,f4042]) ).
fof(f4353,plain,
( e2 = e3
| ~ spl8_79
| ~ spl8_86
| ~ spl8_106 ),
inference(forward_demodulation,[],[f4352,f1326]) ).
fof(f4352,plain,
( e3 = op(e3,e0)
| ~ spl8_79
| ~ spl8_86
| ~ spl8_106 ),
inference(forward_demodulation,[],[f666,f4042]) ).
fof(f4342,plain,
( spl8_100
| spl8_6
| spl8_5
| ~ spl8_75
| ~ spl8_104
| ~ spl8_114 ),
inference(avatar_split_clause,[],[f4334,f1490,f1207,f619,f274,f279,f923]) ).
fof(f4334,plain,
( e1 = e3
| e2 = e3
| e3 = op(e3,e0)
| ~ spl8_75
| ~ spl8_104
| ~ spl8_114 ),
inference(duplicate_literal_removal,[],[f4333]) ).
fof(f4333,plain,
( e1 = e3
| e2 = e3
| e1 = e3
| e3 = op(e3,e0)
| ~ spl8_75
| ~ spl8_104
| ~ spl8_114 ),
inference(forward_demodulation,[],[f4332,f1209]) ).
fof(f4332,plain,
( e2 = e3
| e1 = e3
| e3 = op(e3,e1)
| e3 = op(e3,e0)
| ~ spl8_75
| ~ spl8_114 ),
inference(forward_demodulation,[],[f1924,f1492]) ).
fof(f1924,plain,
( e1 = e3
| e3 = op(e3,e2)
| e3 = op(e3,e1)
| e3 = op(e3,e0)
| ~ spl8_75 ),
inference(forward_demodulation,[],[f155,f621]) ).
fof(f4331,plain,
( spl8_72
| spl8_2
| spl8_1
| spl8_3
| ~ spl8_100
| ~ spl8_104
| ~ spl8_114 ),
inference(avatar_split_clause,[],[f4312,f1490,f1207,f923,f264,f254,f259,f600]) ).
fof(f4312,plain,
( e0 = e3
| e0 = e1
| e0 = e2
| e0 = op(e3,e3)
| ~ spl8_100
| ~ spl8_104
| ~ spl8_114 ),
inference(forward_demodulation,[],[f4311,f924]) ).
fof(f4311,plain,
( e0 = e1
| e0 = e2
| e0 = op(e3,e3)
| e0 = op(e3,e0)
| ~ spl8_104
| ~ spl8_114 ),
inference(forward_demodulation,[],[f1730,f1209]) ).
fof(f4307,plain,
( spl8_5
| spl8_73
| spl8_1
| ~ spl8_14
| ~ spl8_80
| ~ spl8_83
| ~ spl8_114 ),
inference(avatar_split_clause,[],[f4289,f1490,f712,f670,f315,f254,f610,f274]) ).
fof(f4289,plain,
( e0 = e1
| e1 = op(e1,e0)
| e1 = e3
| ~ spl8_14
| ~ spl8_80
| ~ spl8_83
| ~ spl8_114 ),
inference(duplicate_literal_removal,[],[f4288]) ).
fof(f4288,plain,
( e0 = e1
| e1 = op(e1,e0)
| e0 = e1
| e1 = e3
| ~ spl8_14
| ~ spl8_80
| ~ spl8_83
| ~ spl8_114 ),
inference(forward_demodulation,[],[f4287,f4106]) ).
fof(f4287,plain,
( e1 = e2
| e1 = op(e1,e0)
| e0 = e1
| e1 = e3
| ~ spl8_14
| ~ spl8_80
| ~ spl8_83
| ~ spl8_114 ),
inference(forward_demodulation,[],[f4286,f317]) ).
fof(f4286,plain,
( op(e0,e0) = e1
| e1 = op(e1,e0)
| e0 = e1
| e1 = e3
| ~ spl8_80
| ~ spl8_83
| ~ spl8_114 ),
inference(forward_demodulation,[],[f4285,f4106]) ).
fof(f4285,plain,
( e1 = op(e1,e0)
| e0 = e1
| e1 = e3
| e1 = op(e0,e2)
| ~ spl8_80
| ~ spl8_83
| ~ spl8_114 ),
inference(forward_demodulation,[],[f4284,f4106]) ).
fof(f4284,plain,
( e0 = e1
| e1 = e3
| e1 = op(e1,e2)
| e1 = op(e0,e2)
| ~ spl8_80
| ~ spl8_83 ),
inference(forward_demodulation,[],[f2241,f713]) ).
fof(f2241,plain,
( e1 = e3
| e1 = op(e3,e2)
| e1 = op(e1,e2)
| e1 = op(e0,e2)
| ~ spl8_80 ),
inference(forward_demodulation,[],[f144,f672]) ).
fof(f4281,plain,
( spl8_101
| spl8_5
| spl8_3
| ~ spl8_75
| ~ spl8_87
| ~ spl8_108 ),
inference(avatar_split_clause,[],[f4236,f1363,f733,f619,f264,f274,f929]) ).
fof(f4236,plain,
( e0 = e3
| e1 = e3
| e3 = op(e1,e3)
| ~ spl8_75
| ~ spl8_87
| ~ spl8_108 ),
inference(duplicate_literal_removal,[],[f4235]) ).
fof(f4235,plain,
( e0 = e3
| e0 = e3
| e1 = e3
| e3 = op(e1,e3)
| ~ spl8_75
| ~ spl8_87
| ~ spl8_108 ),
inference(forward_demodulation,[],[f3564,f1364]) ).
fof(f3564,plain,
( e0 = e3
| e1 = e3
| e3 = op(e1,e3)
| e3 = op(e0,e3)
| ~ spl8_75
| ~ spl8_87 ),
inference(forward_demodulation,[],[f2201,f734]) ).
fof(f4248,plain,
( spl8_4
| ~ spl8_104
| ~ spl8_120 ),
inference(avatar_split_clause,[],[f2424,f2409,f1207,f269]) ).
fof(f2424,plain,
( e1 = e2
| ~ spl8_104
| ~ spl8_120 ),
inference(superposition,[],[f1209,f2411]) ).
fof(f4220,plain,
( spl8_113
| spl8_109
| spl8_6
| spl8_4
| ~ spl8_80
| ~ spl8_125 ),
inference(avatar_split_clause,[],[f4159,f3692,f670,f269,f279,f1368,f1482]) ).
fof(f4159,plain,
( e1 = e2
| e2 = e3
| e2 = op(e2,e3)
| e2 = op(e2,e0)
| ~ spl8_80
| ~ spl8_125 ),
inference(forward_demodulation,[],[f3525,f3694]) ).
fof(f3525,plain,
( e2 = e3
| e2 = op(e2,e3)
| e2 = op(e2,e1)
| e2 = op(e2,e0)
| ~ spl8_80 ),
inference(forward_demodulation,[],[f145,f672]) ).
fof(f4212,plain,
( spl8_102
| spl8_6
| spl8_2
| spl8_4
| ~ spl8_80
| ~ spl8_83
| ~ spl8_117 ),
inference(avatar_split_clause,[],[f4206,f2064,f712,f670,f269,f259,f279,f1058]) ).
fof(f4206,plain,
( e1 = e2
| e0 = e2
| e2 = e3
| e2 = op(e1,e2)
| ~ spl8_80
| ~ spl8_83
| ~ spl8_117 ),
inference(forward_demodulation,[],[f4147,f2066]) ).
fof(f4207,plain,
( spl8_100
| spl8_5
| spl8_6
| spl8_3
| ~ spl8_75
| ~ spl8_83
| ~ spl8_120 ),
inference(avatar_split_clause,[],[f4190,f2409,f712,f619,f264,f279,f274,f923]) ).
fof(f4190,plain,
( e0 = e3
| e2 = e3
| e1 = e3
| e3 = op(e3,e0)
| ~ spl8_75
| ~ spl8_83
| ~ spl8_120 ),
inference(forward_demodulation,[],[f2921,f713]) ).
fof(f4205,plain,
( spl8_97
| spl8_6
| spl8_2
| spl8_4
| ~ spl8_80
| ~ spl8_83
| ~ spl8_103 ),
inference(avatar_split_clause,[],[f4148,f1201,f712,f670,f269,f259,f279,f809]) ).
fof(f4148,plain,
( e1 = e2
| e0 = e2
| e2 = e3
| e2 = op(e0,e2)
| ~ spl8_80
| ~ spl8_83
| ~ spl8_103 ),
inference(forward_demodulation,[],[f4147,f1202]) ).
fof(f4204,plain,
( spl8_5
| spl8_6
| spl8_3
| ~ spl8_75
| ~ spl8_83
| ~ spl8_106
| ~ spl8_120 ),
inference(avatar_split_clause,[],[f4189,f2409,f1324,f712,f619,f264,f279,f274]) ).
fof(f4189,plain,
( e0 = e3
| e2 = e3
| e1 = e3
| ~ spl8_75
| ~ spl8_83
| ~ spl8_106
| ~ spl8_120 ),
inference(forward_demodulation,[],[f3510,f713]) ).
fof(f3510,plain,
( e2 = e3
| e1 = e3
| e3 = op(e3,e2)
| ~ spl8_75
| ~ spl8_106
| ~ spl8_120 ),
inference(duplicate_literal_removal,[],[f3509]) ).
fof(f3509,plain,
( e2 = e3
| e2 = e3
| e1 = e3
| e3 = op(e3,e2)
| ~ spl8_75
| ~ spl8_106
| ~ spl8_120 ),
inference(forward_demodulation,[],[f2921,f1326]) ).
fof(f4180,plain,
( spl8_3
| spl8_5
| spl8_6
| ~ spl8_14
| ~ spl8_96
| ~ spl8_108
| ~ spl8_117 ),
inference(avatar_split_clause,[],[f4172,f2064,f1363,f805,f315,f279,f274,f264]) ).
fof(f4172,plain,
( e2 = e3
| e1 = e3
| e0 = e3
| ~ spl8_14
| ~ spl8_96
| ~ spl8_108
| ~ spl8_117 ),
inference(duplicate_literal_removal,[],[f4171]) ).
fof(f4171,plain,
( e2 = e3
| e2 = e3
| e1 = e3
| e0 = e3
| ~ spl8_14
| ~ spl8_96
| ~ spl8_108
| ~ spl8_117 ),
inference(forward_demodulation,[],[f3904,f807]) ).
fof(f3904,plain,
( e2 = e3
| e1 = e3
| e0 = e3
| e3 = op(e0,e1)
| ~ spl8_14
| ~ spl8_108
| ~ spl8_117 ),
inference(forward_demodulation,[],[f3903,f317]) ).
fof(f3903,plain,
( e1 = e3
| e0 = e3
| e3 = op(e0,e1)
| op(e0,e0) = e3
| ~ spl8_108
| ~ spl8_117 ),
inference(forward_demodulation,[],[f3626,f2066]) ).
fof(f4168,plain,
( spl8_117
| spl8_85
| spl8_4
| ~ spl8_14
| ~ spl8_96 ),
inference(avatar_split_clause,[],[f4092,f805,f315,f269,f723,f2064]) ).
fof(f4092,plain,
( e1 = e2
| e1 = op(e0,e3)
| e1 = op(e0,e2)
| ~ spl8_14
| ~ spl8_96 ),
inference(duplicate_literal_removal,[],[f4091]) ).
fof(f4091,plain,
( e1 = e2
| e1 = e2
| e1 = op(e0,e3)
| e1 = op(e0,e2)
| ~ spl8_14
| ~ spl8_96 ),
inference(forward_demodulation,[],[f1176,f317]) ).
fof(f1176,plain,
( e1 = e2
| e1 = op(e0,e3)
| e1 = op(e0,e2)
| op(e0,e0) = e1
| ~ spl8_96 ),
inference(forward_demodulation,[],[f127,f807]) ).
fof(f4165,plain,
( spl8_124
| spl8_5
| spl8_6
| ~ spl8_14
| ~ spl8_106
| ~ spl8_123 ),
inference(avatar_split_clause,[],[f3924,f2607,f1324,f315,f279,f274,f3514]) ).
fof(f3924,plain,
( e2 = e3
| e1 = e3
| e3 = op(e1,e0)
| ~ spl8_14
| ~ spl8_106
| ~ spl8_123 ),
inference(duplicate_literal_removal,[],[f3396]) ).
fof(f3396,plain,
( e2 = e3
| e1 = e3
| e2 = e3
| e3 = op(e1,e0)
| ~ spl8_14
| ~ spl8_106
| ~ spl8_123 ),
inference(forward_demodulation,[],[f3395,f317]) ).
fof(f3395,plain,
( e1 = e3
| e2 = e3
| e3 = op(e1,e0)
| op(e0,e0) = e3
| ~ spl8_106
| ~ spl8_123 ),
inference(forward_demodulation,[],[f3394,f2608]) ).
fof(f4158,plain,
( spl8_6
| spl8_2
| spl8_4
| ~ spl8_80
| ~ spl8_87
| ~ spl8_123
| ~ spl8_125 ),
inference(avatar_split_clause,[],[f4141,f3692,f2607,f733,f670,f269,f259,f279]) ).
fof(f4141,plain,
( e1 = e2
| e0 = e2
| e2 = e3
| ~ spl8_80
| ~ spl8_87
| ~ spl8_123
| ~ spl8_125 ),
inference(duplicate_literal_removal,[],[f4140]) ).
fof(f4140,plain,
( e1 = e2
| e1 = e2
| e0 = e2
| e2 = e3
| ~ spl8_80
| ~ spl8_87
| ~ spl8_123
| ~ spl8_125 ),
inference(forward_demodulation,[],[f4080,f3694]) ).
fof(f4080,plain,
( e1 = e2
| e0 = e2
| e2 = e3
| e2 = op(e2,e1)
| ~ spl8_80
| ~ spl8_87
| ~ spl8_123 ),
inference(forward_demodulation,[],[f4079,f2608]) ).
fof(f4079,plain,
( e0 = e2
| e2 = e3
| e2 = op(e2,e1)
| e2 = op(e2,e0)
| ~ spl8_80
| ~ spl8_87 ),
inference(forward_demodulation,[],[f3525,f734]) ).
fof(f4133,plain,
( spl8_119
| spl8_3
| ~ spl8_14
| ~ spl8_83
| ~ spl8_96
| ~ spl8_114 ),
inference(avatar_split_clause,[],[f4123,f1490,f805,f712,f315,f264,f2077]) ).
fof(f4123,plain,
( e0 = e3
| e3 = op(e0,e3)
| ~ spl8_14
| ~ spl8_83
| ~ spl8_96
| ~ spl8_114 ),
inference(duplicate_literal_removal,[],[f4122]) ).
fof(f4122,plain,
( e0 = e3
| e0 = e3
| e3 = op(e0,e3)
| ~ spl8_14
| ~ spl8_83
| ~ spl8_96
| ~ spl8_114 ),
inference(forward_demodulation,[],[f4121,f4106]) ).
fof(f4121,plain,
( e2 = e3
| e0 = e3
| e3 = op(e0,e3)
| ~ spl8_14
| ~ spl8_83
| ~ spl8_96
| ~ spl8_114 ),
inference(forward_demodulation,[],[f4120,f807]) ).
fof(f4120,plain,
( e0 = e3
| e3 = op(e0,e3)
| e3 = op(e0,e1)
| ~ spl8_14
| ~ spl8_83
| ~ spl8_114 ),
inference(duplicate_literal_removal,[],[f4119]) ).
fof(f4119,plain,
( e0 = e3
| e0 = e3
| e3 = op(e0,e3)
| e3 = op(e0,e1)
| ~ spl8_14
| ~ spl8_83
| ~ spl8_114 ),
inference(forward_demodulation,[],[f4118,f4106]) ).
fof(f4118,plain,
( e2 = e3
| e0 = e3
| e3 = op(e0,e3)
| e3 = op(e0,e1)
| ~ spl8_14
| ~ spl8_83
| ~ spl8_114 ),
inference(forward_demodulation,[],[f4117,f317]) ).
fof(f4117,plain,
( op(e0,e0) = e3
| e0 = e3
| e3 = op(e0,e3)
| e3 = op(e0,e1)
| ~ spl8_14
| ~ spl8_83
| ~ spl8_114 ),
inference(forward_demodulation,[],[f4116,f4106]) ).
fof(f4116,plain,
( e0 = e3
| e3 = op(e0,e3)
| e3 = op(e0,e2)
| e3 = op(e0,e1)
| ~ spl8_14
| ~ spl8_83
| ~ spl8_114 ),
inference(forward_demodulation,[],[f3639,f4106]) ).
fof(f4113,plain,
( spl8_6
| ~ spl8_96
| ~ spl8_110 ),
inference(avatar_split_clause,[],[f4101,f1382,f805,f279]) ).
fof(f4101,plain,
( e2 = e3
| ~ spl8_96
| ~ spl8_110 ),
inference(superposition,[],[f807,f1384]) ).
fof(f4074,plain,
( spl8_3
| ~ spl8_86
| ~ spl8_100 ),
inference(avatar_split_clause,[],[f4071,f923,f728,f264]) ).
fof(f4071,plain,
( e0 = e3
| ~ spl8_86
| ~ spl8_100 ),
inference(forward_demodulation,[],[f924,f729]) ).
fof(f4063,plain,
( ~ spl8_13
| ~ spl8_112 ),
inference(avatar_split_clause,[],[f4053,f1413,f311]) ).
fof(f4053,plain,
( ~ sP4
| ~ spl8_112 ),
inference(trivial_inequality_removal,[],[f4052]) ).
fof(f4052,plain,
( e0 != e0
| ~ sP4
| ~ spl8_112 ),
inference(forward_demodulation,[],[f180,f1415]) ).
fof(f180,plain,
( e0 != op(e0,e2)
| ~ sP4 ),
inference(cnf_transformation,[],[f66]) ).
fof(f66,plain,
( ( e0 != op(e0,e2)
& op(e0,e0) = e2 )
| ~ sP4 ),
inference(nnf_transformation,[],[f58]) ).
fof(f4051,plain,
( spl8_22
| ~ spl8_86
| ~ spl8_106
| ~ spl8_112 ),
inference(avatar_split_clause,[],[f4050,f1413,f1324,f728,f351]) ).
fof(f351,plain,
( spl8_22
<=> e0 = op(e0,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_22])]) ).
fof(f4050,plain,
( e0 = op(e0,e0)
| ~ spl8_86
| ~ spl8_106
| ~ spl8_112 ),
inference(forward_demodulation,[],[f1415,f4042]) ).
fof(f4048,plain,
( spl8_112
| spl8_83
| spl8_3
| spl8_1
| ~ spl8_80
| ~ spl8_103 ),
inference(avatar_split_clause,[],[f2105,f1201,f670,f254,f264,f712,f1413]) ).
fof(f2105,plain,
( e0 = e1
| e0 = e3
| e0 = op(e3,e2)
| e0 = op(e0,e2)
| ~ spl8_80
| ~ spl8_103 ),
inference(forward_demodulation,[],[f2104,f1202]) ).
fof(f4039,plain,
( spl8_86
| spl8_2
| spl8_1
| spl8_3
| ~ spl8_14
| ~ spl8_123
| ~ spl8_124 ),
inference(avatar_split_clause,[],[f3971,f3514,f2607,f315,f264,f254,f259,f728]) ).
fof(f3971,plain,
( e0 = e3
| e0 = e1
| e0 = e2
| e0 = op(e3,e0)
| ~ spl8_14
| ~ spl8_123
| ~ spl8_124 ),
inference(forward_demodulation,[],[f3970,f3516]) ).
fof(f3970,plain,
( e0 = e1
| e0 = e2
| e0 = op(e3,e0)
| e0 = op(e1,e0)
| ~ spl8_14
| ~ spl8_123 ),
inference(forward_demodulation,[],[f3528,f2608]) ).
fof(f4029,plain,
( spl8_79
| spl8_5
| spl8_6
| ~ spl8_75
| ~ spl8_104
| ~ spl8_106 ),
inference(avatar_split_clause,[],[f4022,f1324,f1207,f619,f279,f274,f665]) ).
fof(f4022,plain,
( e2 = e3
| e1 = e3
| e3 = op(e3,e2)
| ~ spl8_75
| ~ spl8_104
| ~ spl8_106 ),
inference(forward_demodulation,[],[f4021,f1326]) ).
fof(f4021,plain,
( e1 = e3
| e3 = op(e3,e2)
| e3 = op(e3,e0)
| ~ spl8_75
| ~ spl8_104 ),
inference(duplicate_literal_removal,[],[f4020]) ).
fof(f4020,plain,
( e1 = e3
| e1 = e3
| e3 = op(e3,e2)
| e3 = op(e3,e0)
| ~ spl8_75
| ~ spl8_104 ),
inference(forward_demodulation,[],[f1924,f1209]) ).
fof(f4019,plain,
( spl8_100
| spl8_3
| spl8_5
| ~ spl8_75
| ~ spl8_83
| ~ spl8_104 ),
inference(avatar_split_clause,[],[f3895,f1207,f712,f619,f274,f264,f923]) ).
fof(f3895,plain,
( e1 = e3
| e0 = e3
| e3 = op(e3,e0)
| ~ spl8_75
| ~ spl8_83
| ~ spl8_104 ),
inference(duplicate_literal_removal,[],[f3894]) ).
fof(f3894,plain,
( e1 = e3
| e0 = e3
| e1 = e3
| e3 = op(e3,e0)
| ~ spl8_75
| ~ spl8_83
| ~ spl8_104 ),
inference(forward_demodulation,[],[f3893,f1209]) ).
fof(f3893,plain,
( e0 = e3
| e1 = e3
| e3 = op(e3,e1)
| e3 = op(e3,e0)
| ~ spl8_75
| ~ spl8_83 ),
inference(forward_demodulation,[],[f2401,f713]) ).
fof(f3969,plain,
( spl8_1
| ~ spl8_104
| ~ spl8_108
| ~ spl8_110
| ~ spl8_119 ),
inference(avatar_split_clause,[],[f3965,f2077,f1382,f1363,f1207,f254]) ).
fof(f3965,plain,
( e0 = e1
| ~ spl8_104
| ~ spl8_108
| ~ spl8_110
| ~ spl8_119 ),
inference(forward_demodulation,[],[f3964,f3938]) ).
fof(f3938,plain,
( e0 = op(e0,e1)
| ~ spl8_108
| ~ spl8_110
| ~ spl8_119 ),
inference(forward_demodulation,[],[f1384,f3905]) ).
fof(f3964,plain,
( e1 = op(e0,e1)
| ~ spl8_104
| ~ spl8_108
| ~ spl8_119 ),
inference(forward_demodulation,[],[f1209,f3905]) ).
fof(f3920,plain,
( spl8_96
| spl8_105
| spl8_120
| spl8_2
| ~ spl8_20 ),
inference(avatar_split_clause,[],[f2487,f342,f259,f2409,f1311,f805]) ).
fof(f2487,plain,
( e0 = e2
| e2 = op(e3,e1)
| e2 = op(e2,e1)
| e2 = op(e0,e1)
| ~ spl8_20 ),
inference(forward_demodulation,[],[f138,f344]) ).
fof(f3917,plain,
( spl8_106
| spl8_120
| spl8_114
| spl8_4
| ~ spl8_75 ),
inference(avatar_split_clause,[],[f2404,f619,f269,f1490,f2409,f1324]) ).
fof(f2404,plain,
( e1 = e2
| e2 = op(e3,e2)
| e2 = op(e3,e1)
| e2 = op(e3,e0)
| ~ spl8_75 ),
inference(forward_demodulation,[],[f153,f621]) ).
fof(f3911,plain,
( spl8_123
| spl8_125
| spl8_84
| spl8_5
| ~ spl8_80 ),
inference(avatar_split_clause,[],[f2033,f670,f274,f716,f3692,f2607]) ).
fof(f2033,plain,
( e1 = e3
| e1 = op(e2,e3)
| e1 = op(e2,e1)
| e1 = op(e2,e0)
| ~ spl8_80 ),
inference(forward_demodulation,[],[f143,f672]) ).
fof(f3902,plain,
( spl8_90
| spl8_108
| spl8_2
| spl8_1
| ~ spl8_14
| ~ spl8_117 ),
inference(avatar_split_clause,[],[f3887,f2064,f315,f254,f259,f1363,f762]) ).
fof(f3887,plain,
( e0 = e1
| e0 = e2
| e0 = op(e0,e3)
| e0 = op(e0,e1)
| ~ spl8_14
| ~ spl8_117 ),
inference(forward_demodulation,[],[f3635,f2066]) ).
fof(f3899,plain,
( ~ spl8_96
| ~ spl8_20
| ~ spl8_124 ),
inference(avatar_split_clause,[],[f3880,f3514,f342,f805]) ).
fof(f3880,plain,
( e0 != op(e1,e1)
| e2 != op(e0,e1)
| ~ spl8_124 ),
inference(trivial_inequality_removal,[],[f3879]) ).
fof(f3879,plain,
( e3 != e3
| e0 != op(e1,e1)
| e2 != op(e0,e1)
| ~ spl8_124 ),
inference(forward_demodulation,[],[f238,f3516]) ).
fof(f238,plain,
( e0 != op(e1,e1)
| e2 != op(e0,e1)
| e3 != op(e1,e0) ),
inference(inner_rewriting,[],[f214]) ).
fof(f214,plain,
( e0 != op(e1,e1)
| e2 != op(op(e1,e1),e1)
| e3 != op(e1,op(e1,e1)) ),
inference(cnf_transformation,[],[f39]) ).
fof(f39,plain,
( e0 != op(e1,e1)
| e2 != op(op(e1,e1),e1)
| e3 != op(e1,op(e1,e1)) ),
inference(ennf_transformation,[],[f28]) ).
fof(f28,axiom,
~ ( e0 = op(e1,e1)
& e2 = op(op(e1,e1),e1)
& e3 = op(e1,op(e1,e1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax28) ).
fof(f3886,plain,
( spl8_112
| spl8_2
| ~ spl8_14
| ~ spl8_79
| ~ spl8_83
| ~ spl8_96 ),
inference(avatar_split_clause,[],[f3884,f805,f712,f665,f315,f259,f1413]) ).
fof(f3884,plain,
( e0 = e2
| e0 = op(e0,e2)
| ~ spl8_14
| ~ spl8_79
| ~ spl8_83
| ~ spl8_96 ),
inference(duplicate_literal_removal,[],[f3883]) ).
fof(f3883,plain,
( e0 = e2
| e0 = e2
| e0 = op(e0,e2)
| ~ spl8_14
| ~ spl8_79
| ~ spl8_83
| ~ spl8_96 ),
inference(forward_demodulation,[],[f3882,f317]) ).
fof(f3882,plain,
( e0 = op(e0,e0)
| e0 = e2
| e0 = op(e0,e2)
| ~ spl8_79
| ~ spl8_83
| ~ spl8_96 ),
inference(duplicate_literal_removal,[],[f3881]) ).
fof(f3881,plain,
( e0 = op(e0,e0)
| e0 = e2
| e0 = op(e0,e2)
| e0 = op(e0,e0)
| ~ spl8_79
| ~ spl8_83
| ~ spl8_96 ),
inference(forward_demodulation,[],[f892,f3870]) ).
fof(f3878,plain,
( spl8_96
| spl8_105
| spl8_2
| spl8_4
| ~ spl8_20
| ~ spl8_104 ),
inference(avatar_split_clause,[],[f3822,f1207,f342,f269,f259,f1311,f805]) ).
fof(f3822,plain,
( e1 = e2
| e0 = e2
| e2 = op(e2,e1)
| e2 = op(e0,e1)
| ~ spl8_20
| ~ spl8_104 ),
inference(forward_demodulation,[],[f2487,f1209]) ).
fof(f3869,plain,
( spl8_83
| spl8_3
| spl8_1
| ~ spl8_80
| ~ spl8_103
| ~ spl8_117 ),
inference(avatar_split_clause,[],[f2107,f2064,f1201,f670,f254,f264,f712]) ).
fof(f2107,plain,
( e0 = e1
| e0 = e3
| e0 = op(e3,e2)
| ~ spl8_80
| ~ spl8_103
| ~ spl8_117 ),
inference(duplicate_literal_removal,[],[f2106]) ).
fof(f2106,plain,
( e0 = e1
| e0 = e1
| e0 = e3
| e0 = op(e3,e2)
| ~ spl8_80
| ~ spl8_103
| ~ spl8_117 ),
inference(forward_demodulation,[],[f2105,f2066]) ).
fof(f3849,plain,
( spl8_122
| spl8_109
| spl8_4
| spl8_6
| ~ spl8_75
| ~ spl8_119 ),
inference(avatar_split_clause,[],[f3808,f2077,f619,f279,f269,f1368,f2494]) ).
fof(f3808,plain,
( e2 = e3
| e1 = e2
| e2 = op(e2,e3)
| e2 = op(e1,e3)
| ~ spl8_75
| ~ spl8_119 ),
inference(forward_demodulation,[],[f2208,f2079]) ).
fof(f3848,plain,
( spl8_73
| spl8_82
| spl8_1
| spl8_5
| ~ spl8_20
| ~ spl8_126 ),
inference(avatar_split_clause,[],[f3779,f3732,f342,f274,f254,f707,f610]) ).
fof(f3779,plain,
( e1 = e3
| e0 = e1
| e1 = op(e1,e3)
| e1 = op(e1,e0)
| ~ spl8_20
| ~ spl8_126 ),
inference(forward_demodulation,[],[f3384,f3734]) ).
fof(f3384,plain,
( e0 = e1
| e1 = op(e1,e3)
| e1 = op(e1,e2)
| e1 = op(e1,e0)
| ~ spl8_20 ),
inference(forward_demodulation,[],[f135,f344]) ).
fof(f3843,plain,
( spl8_122
| spl8_2
| spl8_4
| spl8_6
| ~ spl8_75
| ~ spl8_87
| ~ spl8_119 ),
inference(avatar_split_clause,[],[f3830,f2077,f733,f619,f279,f269,f259,f2494]) ).
fof(f3830,plain,
( e2 = e3
| e1 = e2
| e0 = e2
| e2 = op(e1,e3)
| ~ spl8_75
| ~ spl8_87
| ~ spl8_119 ),
inference(forward_demodulation,[],[f3829,f2079]) ).
fof(f3829,plain,
( e1 = e2
| e0 = e2
| e2 = op(e1,e3)
| e2 = op(e0,e3)
| ~ spl8_75
| ~ spl8_87 ),
inference(forward_demodulation,[],[f1741,f621]) ).
fof(f1741,plain,
( e0 = e2
| e2 = op(e3,e3)
| e2 = op(e1,e3)
| e2 = op(e0,e3)
| ~ spl8_87 ),
inference(forward_demodulation,[],[f154,f734]) ).
fof(f3824,plain,
( spl8_105
| spl8_4
| spl8_2
| spl8_6
| ~ spl8_20
| ~ spl8_104
| ~ spl8_110 ),
inference(avatar_split_clause,[],[f3816,f1382,f1207,f342,f279,f259,f269,f1311]) ).
fof(f3816,plain,
( e2 = e3
| e0 = e2
| e1 = e2
| e2 = op(e2,e1)
| ~ spl8_20
| ~ spl8_104
| ~ spl8_110 ),
inference(forward_demodulation,[],[f3815,f1384]) ).
fof(f3815,plain,
( e0 = e2
| e1 = e2
| e2 = op(e2,e1)
| e2 = op(e0,e1)
| ~ spl8_20
| ~ spl8_104 ),
inference(forward_demodulation,[],[f2440,f344]) ).
fof(f3810,plain,
( spl8_84
| spl8_5
| spl8_4
| spl8_1
| ~ spl8_80
| ~ spl8_95
| ~ spl8_105 ),
inference(avatar_split_clause,[],[f3805,f1311,f798,f670,f254,f269,f274,f716]) ).
fof(f3805,plain,
( e0 = e1
| e1 = e2
| e1 = e3
| e1 = op(e2,e3)
| ~ spl8_80
| ~ spl8_95
| ~ spl8_105 ),
inference(forward_demodulation,[],[f3804,f800]) ).
fof(f3804,plain,
( e1 = e2
| e1 = e3
| e1 = op(e2,e3)
| e1 = op(e2,e0)
| ~ spl8_80
| ~ spl8_105 ),
inference(forward_demodulation,[],[f2033,f1312]) ).
fof(f3801,plain,
( spl8_72
| spl8_1
| spl8_2
| spl8_3
| ~ spl8_84
| ~ spl8_119
| ~ spl8_122 ),
inference(avatar_split_clause,[],[f3781,f2494,f2077,f716,f264,f259,f254,f600]) ).
fof(f3781,plain,
( e0 = e3
| e0 = e2
| e0 = e1
| e0 = op(e3,e3)
| ~ spl8_84
| ~ spl8_119
| ~ spl8_122 ),
inference(forward_demodulation,[],[f3780,f2079]) ).
fof(f3780,plain,
( e0 = e2
| e0 = e1
| e0 = op(e3,e3)
| e0 = op(e0,e3)
| ~ spl8_84
| ~ spl8_122 ),
inference(forward_demodulation,[],[f3640,f2496]) ).
fof(f3640,plain,
( e0 = e1
| e0 = op(e3,e3)
| e0 = op(e1,e3)
| e0 = op(e0,e3)
| ~ spl8_84 ),
inference(forward_demodulation,[],[f150,f717]) ).
fof(f3796,plain,
( spl8_117
| spl8_88
| spl8_5
| ~ spl8_80
| ~ spl8_126 ),
inference(avatar_split_clause,[],[f3786,f3732,f670,f274,f737,f2064]) ).
fof(f3786,plain,
( e1 = e3
| e1 = op(e3,e2)
| e1 = op(e0,e2)
| ~ spl8_80
| ~ spl8_126 ),
inference(duplicate_literal_removal,[],[f3785]) ).
fof(f3785,plain,
( e1 = e3
| e1 = e3
| e1 = op(e3,e2)
| e1 = op(e0,e2)
| ~ spl8_80
| ~ spl8_126 ),
inference(forward_demodulation,[],[f2241,f3734]) ).
fof(f3778,plain,
( spl8_5
| ~ spl8_99
| ~ spl8_110 ),
inference(avatar_split_clause,[],[f3775,f1382,f851,f274]) ).
fof(f3775,plain,
( e1 = e3
| ~ spl8_99
| ~ spl8_110 ),
inference(forward_demodulation,[],[f1384,f853]) ).
fof(f3773,plain,
( spl8_110
| spl8_115
| spl8_6
| spl8_3
| ~ spl8_20
| ~ spl8_105 ),
inference(avatar_split_clause,[],[f3740,f1311,f342,f264,f279,f2007,f1382]) ).
fof(f3740,plain,
( e0 = e3
| e2 = e3
| e3 = op(e3,e1)
| e3 = op(e0,e1)
| ~ spl8_20
| ~ spl8_105 ),
inference(forward_demodulation,[],[f2475,f344]) ).
fof(f2475,plain,
( e2 = e3
| e3 = op(e3,e1)
| e3 = op(e1,e1)
| e3 = op(e0,e1)
| ~ spl8_105 ),
inference(forward_demodulation,[],[f140,f1312]) ).
fof(f3766,plain,
( spl8_95
| spl8_87
| spl8_3
| spl8_2
| ~ spl8_80
| ~ spl8_105 ),
inference(avatar_split_clause,[],[f3739,f1311,f670,f259,f264,f733,f798]) ).
fof(f3739,plain,
( e0 = e2
| e0 = e3
| e0 = op(e2,e3)
| e0 = op(e2,e0)
| ~ spl8_80
| ~ spl8_105 ),
inference(forward_demodulation,[],[f3414,f1312]) ).
fof(f3414,plain,
( e0 = e3
| e0 = op(e2,e3)
| e0 = op(e2,e1)
| e0 = op(e2,e0)
| ~ spl8_80 ),
inference(forward_demodulation,[],[f141,f672]) ).
fof(f3763,plain,
( spl8_99
| spl8_104
| spl8_1
| spl8_4
| ~ spl8_20
| ~ spl8_105 ),
inference(avatar_split_clause,[],[f3718,f1311,f342,f269,f254,f1207,f851]) ).
fof(f3718,plain,
( e1 = e2
| e0 = e1
| e1 = op(e3,e1)
| e1 = op(e0,e1)
| ~ spl8_20
| ~ spl8_105 ),
inference(forward_demodulation,[],[f3612,f1312]) ).
fof(f3612,plain,
( e0 = e1
| e1 = op(e3,e1)
| e1 = op(e2,e1)
| e1 = op(e0,e1)
| ~ spl8_20 ),
inference(forward_demodulation,[],[f136,f344]) ).
fof(f3761,plain,
( spl8_73
| spl8_123
| spl8_4
| spl8_1
| ~ spl8_14
| ~ spl8_86 ),
inference(avatar_split_clause,[],[f3658,f728,f315,f254,f269,f2607,f610]) ).
fof(f3658,plain,
( e0 = e1
| e1 = e2
| e1 = op(e2,e0)
| e1 = op(e1,e0)
| ~ spl8_14
| ~ spl8_86 ),
inference(forward_demodulation,[],[f3529,f729]) ).
fof(f3738,plain,
( spl8_3
| ~ spl8_20
| ~ spl8_104
| ~ spl8_120
| ~ spl8_126 ),
inference(avatar_split_clause,[],[f3737,f3732,f2409,f1207,f342,f264]) ).
fof(f3737,plain,
( e0 = e3
| ~ spl8_20
| ~ spl8_104
| ~ spl8_120
| ~ spl8_126 ),
inference(forward_demodulation,[],[f3736,f344]) ).
fof(f3736,plain,
( e3 = op(e1,e1)
| ~ spl8_104
| ~ spl8_120
| ~ spl8_126 ),
inference(forward_demodulation,[],[f3734,f2424]) ).
fof(f3735,plain,
( spl8_124
| spl8_126
| spl8_6
| spl8_3
| ~ spl8_20
| ~ spl8_122 ),
inference(avatar_split_clause,[],[f3702,f2494,f342,f264,f279,f3732,f3514]) ).
fof(f3702,plain,
( e0 = e3
| e2 = e3
| e3 = op(e1,e2)
| e3 = op(e1,e0)
| ~ spl8_20
| ~ spl8_122 ),
inference(forward_demodulation,[],[f2525,f344]) ).
fof(f2525,plain,
( e2 = e3
| e3 = op(e1,e2)
| e3 = op(e1,e1)
| e3 = op(e1,e0)
| ~ spl8_122 ),
inference(forward_demodulation,[],[f139,f2496]) ).
fof(f3716,plain,
( spl8_4
| ~ spl8_105
| ~ spl8_125 ),
inference(avatar_split_clause,[],[f3715,f3692,f1311,f269]) ).
fof(f3715,plain,
( e1 = e2
| ~ spl8_105
| ~ spl8_125 ),
inference(forward_demodulation,[],[f1312,f3694]) ).
fof(f3708,plain,
( spl8_113
| spl8_105
| spl8_6
| spl8_4
| ~ spl8_80
| ~ spl8_84 ),
inference(avatar_split_clause,[],[f3656,f716,f670,f269,f279,f1311,f1482]) ).
fof(f3656,plain,
( e1 = e2
| e2 = e3
| e2 = op(e2,e1)
| e2 = op(e2,e0)
| ~ spl8_80
| ~ spl8_84 ),
inference(forward_demodulation,[],[f2032,f717]) ).
fof(f2032,plain,
( e2 = e3
| e2 = op(e2,e3)
| e2 = op(e2,e1)
| e2 = op(e2,e0)
| ~ spl8_80 ),
inference(forward_demodulation,[],[f145,f672]) ).
fof(f3707,plain,
( spl8_124
| spl8_6
| spl8_3
| spl8_5
| ~ spl8_14
| ~ spl8_86
| ~ spl8_123 ),
inference(avatar_split_clause,[],[f3705,f2607,f728,f315,f274,f264,f279,f3514]) ).
fof(f3705,plain,
( e1 = e3
| e0 = e3
| e2 = e3
| e3 = op(e1,e0)
| ~ spl8_14
| ~ spl8_86
| ~ spl8_123 ),
inference(forward_demodulation,[],[f3704,f2608]) ).
fof(f3701,plain,
( spl8_103
| spl8_82
| spl8_1
| spl8_5
| ~ spl8_20
| ~ spl8_124 ),
inference(avatar_split_clause,[],[f3654,f3514,f342,f274,f254,f707,f1201]) ).
fof(f3654,plain,
( e1 = e3
| e0 = e1
| e1 = op(e1,e3)
| e1 = op(e1,e2)
| ~ spl8_20
| ~ spl8_124 ),
inference(forward_demodulation,[],[f3384,f3516]) ).
fof(f3695,plain,
( spl8_125
| spl8_104
| spl8_1
| spl8_5
| ~ spl8_20
| ~ spl8_110 ),
inference(avatar_split_clause,[],[f3611,f1382,f342,f274,f254,f1207,f3692]) ).
fof(f3611,plain,
( e1 = e3
| e0 = e1
| e1 = op(e3,e1)
| e1 = op(e2,e1)
| ~ spl8_20
| ~ spl8_110 ),
inference(forward_demodulation,[],[f2484,f1384]) ).
fof(f2484,plain,
( e0 = e1
| e1 = op(e3,e1)
| e1 = op(e2,e1)
| e1 = op(e0,e1)
| ~ spl8_20 ),
inference(forward_demodulation,[],[f136,f344]) ).
fof(f3686,plain,
( spl8_110
| spl8_111
| spl8_6
| spl8_3
| ~ spl8_20
| ~ spl8_120 ),
inference(avatar_split_clause,[],[f3617,f2409,f342,f264,f279,f1386,f1382]) ).
fof(f3617,plain,
( e0 = e3
| e2 = e3
| e3 = op(e2,e1)
| e3 = op(e0,e1)
| ~ spl8_20
| ~ spl8_120 ),
inference(forward_demodulation,[],[f3616,f344]) ).
fof(f3616,plain,
( e2 = e3
| e3 = op(e2,e1)
| e3 = op(e1,e1)
| e3 = op(e0,e1)
| ~ spl8_120 ),
inference(forward_demodulation,[],[f140,f2411]) ).
fof(f3681,plain,
( spl8_123
| spl8_4
| spl8_1
| spl8_5
| ~ spl8_14
| ~ spl8_86
| ~ spl8_124 ),
inference(avatar_split_clause,[],[f3659,f3514,f728,f315,f274,f254,f269,f2607]) ).
fof(f3659,plain,
( e1 = e3
| e0 = e1
| e1 = e2
| e1 = op(e2,e0)
| ~ spl8_14
| ~ spl8_86
| ~ spl8_124 ),
inference(forward_demodulation,[],[f3658,f3516]) ).
fof(f3672,plain,
( spl8_79
| spl8_5
| spl8_6
| spl8_3
| ~ spl8_75
| ~ spl8_86
| ~ spl8_120 ),
inference(avatar_split_clause,[],[f3655,f2409,f728,f619,f264,f279,f274,f665]) ).
fof(f3655,plain,
( e0 = e3
| e2 = e3
| e1 = e3
| e3 = op(e3,e2)
| ~ spl8_75
| ~ spl8_86
| ~ spl8_120 ),
inference(forward_demodulation,[],[f2921,f729]) ).
fof(f3665,plain,
( spl8_98
| spl8_122
| spl8_4
| ~ spl8_75
| ~ spl8_84 ),
inference(avatar_split_clause,[],[f3603,f716,f619,f269,f2494,f813]) ).
fof(f3660,plain,
( spl8_119
| spl8_101
| spl8_5
| ~ spl8_75
| ~ spl8_84 ),
inference(avatar_split_clause,[],[f3582,f716,f619,f274,f929,f2077]) ).
fof(f3582,plain,
( e1 = e3
| e3 = op(e1,e3)
| e3 = op(e0,e3)
| ~ spl8_75
| ~ spl8_84 ),
inference(duplicate_literal_removal,[],[f3581]) ).
fof(f3581,plain,
( e1 = e3
| e1 = e3
| e3 = op(e1,e3)
| e3 = op(e0,e3)
| ~ spl8_75
| ~ spl8_84 ),
inference(forward_demodulation,[],[f2201,f717]) ).
fof(f3653,plain,
( spl8_1
| ~ spl8_86
| ~ spl8_89 ),
inference(avatar_split_clause,[],[f3652,f744,f728,f254]) ).
fof(f3652,plain,
( e0 = e1
| ~ spl8_86
| ~ spl8_89 ),
inference(forward_demodulation,[],[f745,f729]) ).
fof(f3650,plain,
( spl8_73
| spl8_89
| spl8_4
| ~ spl8_14
| ~ spl8_113 ),
inference(avatar_split_clause,[],[f3573,f1482,f315,f269,f744,f610]) ).
fof(f3573,plain,
( e1 = e2
| e1 = op(e3,e0)
| e1 = op(e1,e0)
| ~ spl8_14
| ~ spl8_113 ),
inference(duplicate_literal_removal,[],[f3572]) ).
fof(f3572,plain,
( e1 = e2
| e1 = e2
| e1 = op(e3,e0)
| e1 = op(e1,e0)
| ~ spl8_14
| ~ spl8_113 ),
inference(forward_demodulation,[],[f3501,f317]) ).
fof(f3501,plain,
( e1 = e2
| e1 = op(e3,e0)
| e1 = op(e1,e0)
| op(e0,e0) = e1
| ~ spl8_113 ),
inference(forward_demodulation,[],[f128,f1484]) ).
fof(f3645,plain,
( spl8_78
| spl8_86
| spl8_2
| ~ spl8_14
| ~ spl8_113 ),
inference(avatar_split_clause,[],[f3571,f1482,f315,f259,f728,f660]) ).
fof(f3571,plain,
( e0 = e2
| e0 = op(e3,e0)
| e0 = op(e1,e0)
| ~ spl8_14
| ~ spl8_113 ),
inference(duplicate_literal_removal,[],[f3570]) ).
fof(f3570,plain,
( e0 = e2
| e0 = e2
| e0 = op(e3,e0)
| e0 = op(e1,e0)
| ~ spl8_14
| ~ spl8_113 ),
inference(forward_demodulation,[],[f3506,f317]) ).
fof(f3641,plain,
( spl8_124
| spl8_100
| spl8_6
| ~ spl8_14
| ~ spl8_113 ),
inference(avatar_split_clause,[],[f3556,f1482,f315,f279,f923,f3514]) ).
fof(f3556,plain,
( e2 = e3
| e3 = op(e3,e0)
| e3 = op(e1,e0)
| ~ spl8_14
| ~ spl8_113 ),
inference(duplicate_literal_removal,[],[f3518]) ).
fof(f3518,plain,
( e2 = e3
| e2 = e3
| e3 = op(e3,e0)
| e3 = op(e1,e0)
| ~ spl8_14
| ~ spl8_113 ),
inference(forward_demodulation,[],[f2093,f1484]) ).
fof(f2093,plain,
( e2 = e3
| e3 = op(e3,e0)
| e3 = op(e2,e0)
| e3 = op(e1,e0)
| ~ spl8_14 ),
inference(forward_demodulation,[],[f132,f317]) ).
fof(f3633,plain,
( spl8_101
| spl8_5
| spl8_3
| ~ spl8_75
| ~ spl8_84
| ~ spl8_108 ),
inference(avatar_split_clause,[],[f3599,f1363,f716,f619,f264,f274,f929]) ).
fof(f3599,plain,
( e0 = e3
| e1 = e3
| e3 = op(e1,e3)
| ~ spl8_75
| ~ spl8_84
| ~ spl8_108 ),
inference(forward_demodulation,[],[f3582,f1364]) ).
fof(f3615,plain,
( spl8_85
| spl8_5
| spl8_4
| ~ spl8_14
| ~ spl8_97
| ~ spl8_110 ),
inference(avatar_split_clause,[],[f3560,f1382,f809,f315,f269,f274,f723]) ).
fof(f3560,plain,
( e1 = e2
| e1 = e3
| e1 = op(e0,e3)
| ~ spl8_14
| ~ spl8_97
| ~ spl8_110 ),
inference(duplicate_literal_removal,[],[f3559]) ).
fof(f3559,plain,
( e1 = e2
| e1 = e3
| e1 = e2
| e1 = op(e0,e3)
| ~ spl8_14
| ~ spl8_97
| ~ spl8_110 ),
inference(forward_demodulation,[],[f3558,f317]) ).
fof(f3558,plain,
( e1 = e3
| e1 = e2
| e1 = op(e0,e3)
| op(e0,e0) = e1
| ~ spl8_97
| ~ spl8_110 ),
inference(forward_demodulation,[],[f3557,f1384]) ).
fof(f3605,plain,
( spl8_87
| spl8_3
| spl8_2
| ~ spl8_80
| ~ spl8_111
| ~ spl8_113 ),
inference(avatar_split_clause,[],[f3507,f1482,f1386,f670,f259,f264,f733]) ).
fof(f3507,plain,
( e0 = e2
| e0 = e3
| e0 = op(e2,e3)
| ~ spl8_80
| ~ spl8_111
| ~ spl8_113 ),
inference(forward_demodulation,[],[f3416,f1484]) ).
fof(f3416,plain,
( e0 = e3
| e0 = op(e2,e3)
| e0 = op(e2,e0)
| ~ spl8_80
| ~ spl8_111 ),
inference(duplicate_literal_removal,[],[f3415]) ).
fof(f3415,plain,
( e0 = e3
| e0 = e3
| e0 = op(e2,e3)
| e0 = op(e2,e0)
| ~ spl8_80
| ~ spl8_111 ),
inference(forward_demodulation,[],[f3414,f1388]) ).
fof(f3598,plain,
( spl8_5
| spl8_6
| spl8_3
| ~ spl8_75
| ~ spl8_84
| ~ spl8_108
| ~ spl8_122 ),
inference(avatar_split_clause,[],[f3584,f2494,f1363,f716,f619,f264,f279,f274]) ).
fof(f3584,plain,
( e0 = e3
| e2 = e3
| e1 = e3
| ~ spl8_75
| ~ spl8_84
| ~ spl8_108
| ~ spl8_122 ),
inference(forward_demodulation,[],[f3583,f1364]) ).
fof(f3583,plain,
( e2 = e3
| e1 = e3
| e3 = op(e0,e3)
| ~ spl8_75
| ~ spl8_84
| ~ spl8_122 ),
inference(forward_demodulation,[],[f3582,f2496]) ).
fof(f3577,plain,
( spl8_1
| ~ spl8_84
| ~ spl8_87 ),
inference(avatar_split_clause,[],[f3576,f733,f716,f254]) ).
fof(f3576,plain,
( e0 = e1
| ~ spl8_84
| ~ spl8_87 ),
inference(forward_demodulation,[],[f717,f734]) ).
fof(f3552,plain,
( spl8_113
| spl8_109
| spl8_6
| ~ spl8_80
| ~ spl8_111 ),
inference(avatar_split_clause,[],[f3527,f1386,f670,f279,f1368,f1482]) ).
fof(f3527,plain,
( e2 = e3
| e2 = op(e2,e3)
| e2 = op(e2,e0)
| ~ spl8_80
| ~ spl8_111 ),
inference(duplicate_literal_removal,[],[f3526]) ).
fof(f3526,plain,
( e2 = e3
| e2 = e3
| e2 = op(e2,e3)
| e2 = op(e2,e0)
| ~ spl8_80
| ~ spl8_111 ),
inference(forward_demodulation,[],[f3525,f1388]) ).
fof(f3547,plain,
( spl8_90
| spl8_108
| spl8_2
| ~ spl8_14
| ~ spl8_97 ),
inference(avatar_split_clause,[],[f3411,f809,f315,f259,f1363,f762]) ).
fof(f3411,plain,
( e0 = e2
| e0 = op(e0,e3)
| e0 = op(e0,e1)
| ~ spl8_14
| ~ spl8_97 ),
inference(duplicate_literal_removal,[],[f3410]) ).
fof(f3410,plain,
( e0 = e2
| e0 = e2
| e0 = op(e0,e3)
| e0 = op(e0,e1)
| ~ spl8_14
| ~ spl8_97 ),
inference(forward_demodulation,[],[f3409,f317]) ).
fof(f3409,plain,
( e0 = e2
| e0 = op(e0,e3)
| e0 = op(e0,e1)
| e0 = op(e0,e0)
| ~ spl8_97 ),
inference(forward_demodulation,[],[f125,f811]) ).
fof(f3536,plain,
( spl8_87
| spl8_3
| spl8_1
| ~ spl8_80
| ~ spl8_111
| ~ spl8_123 ),
inference(avatar_split_clause,[],[f3417,f2607,f1386,f670,f254,f264,f733]) ).
fof(f3417,plain,
( e0 = e1
| e0 = e3
| e0 = op(e2,e3)
| ~ spl8_80
| ~ spl8_111
| ~ spl8_123 ),
inference(forward_demodulation,[],[f3416,f2608]) ).
fof(f3530,plain,
( spl8_123
| spl8_84
| spl8_5
| ~ spl8_80
| ~ spl8_111 ),
inference(avatar_split_clause,[],[f2949,f1386,f670,f274,f716,f2607]) ).
fof(f2949,plain,
( e1 = e3
| e1 = op(e2,e3)
| e1 = op(e2,e0)
| ~ spl8_80
| ~ spl8_111 ),
inference(duplicate_literal_removal,[],[f2948]) ).
fof(f2948,plain,
( e1 = e3
| e1 = e3
| e1 = op(e2,e3)
| e1 = op(e2,e0)
| ~ spl8_80
| ~ spl8_111 ),
inference(forward_demodulation,[],[f2033,f1388]) ).
fof(f3523,plain,
( spl8_84
| spl8_5
| spl8_4
| ~ spl8_80
| ~ spl8_111
| ~ spl8_113 ),
inference(avatar_split_clause,[],[f3491,f1482,f1386,f670,f269,f274,f716]) ).
fof(f3491,plain,
( e1 = e2
| e1 = e3
| e1 = op(e2,e3)
| ~ spl8_80
| ~ spl8_111
| ~ spl8_113 ),
inference(forward_demodulation,[],[f3490,f1484]) ).
fof(f3490,plain,
( e1 = e3
| e1 = op(e2,e3)
| e1 = op(e2,e0)
| ~ spl8_80
| ~ spl8_111 ),
inference(duplicate_literal_removal,[],[f3489]) ).
fof(f3489,plain,
( e1 = e3
| e1 = e3
| e1 = op(e2,e3)
| e1 = op(e2,e0)
| ~ spl8_80
| ~ spl8_111 ),
inference(forward_demodulation,[],[f3488,f1388]) ).
fof(f3488,plain,
( e1 = e3
| e1 = op(e2,e3)
| e1 = op(e2,e1)
| e1 = op(e2,e0)
| ~ spl8_80 ),
inference(forward_demodulation,[],[f143,f672]) ).
fof(f3521,plain,
( spl8_110
| spl8_5
| spl8_6
| ~ spl8_14
| ~ spl8_85
| ~ spl8_97 ),
inference(avatar_split_clause,[],[f3408,f809,f723,f315,f279,f274,f1382]) ).
fof(f3408,plain,
( e2 = e3
| e1 = e3
| e3 = op(e0,e1)
| ~ spl8_14
| ~ spl8_85
| ~ spl8_97 ),
inference(duplicate_literal_removal,[],[f3407]) ).
fof(f3407,plain,
( e2 = e3
| e1 = e3
| e2 = e3
| e3 = op(e0,e1)
| ~ spl8_14
| ~ spl8_85
| ~ spl8_97 ),
inference(forward_demodulation,[],[f2229,f317]) ).
fof(f2229,plain,
( e1 = e3
| e2 = e3
| e3 = op(e0,e1)
| op(e0,e0) = e3
| ~ spl8_85
| ~ spl8_97 ),
inference(forward_demodulation,[],[f1837,f724]) ).
fof(f3517,plain,
( spl8_124
| spl8_6
| ~ spl8_14
| ~ spl8_106
| ~ spl8_113 ),
inference(avatar_split_clause,[],[f3505,f1482,f1324,f315,f279,f3514]) ).
fof(f3505,plain,
( e2 = e3
| e3 = op(e1,e0)
| ~ spl8_14
| ~ spl8_106
| ~ spl8_113 ),
inference(duplicate_literal_removal,[],[f3504]) ).
fof(f3504,plain,
( e2 = e3
| e2 = e3
| e3 = op(e1,e0)
| ~ spl8_14
| ~ spl8_106
| ~ spl8_113 ),
inference(forward_demodulation,[],[f3503,f317]) ).
fof(f3503,plain,
( e2 = e3
| e3 = op(e1,e0)
| op(e0,e0) = e3
| ~ spl8_106
| ~ spl8_113 ),
inference(duplicate_literal_removal,[],[f3502]) ).
fof(f3502,plain,
( e2 = e3
| e2 = e3
| e3 = op(e1,e0)
| op(e0,e0) = e3
| ~ spl8_106
| ~ spl8_113 ),
inference(forward_demodulation,[],[f3394,f1484]) ).
fof(f3485,plain,
( spl8_78
| spl8_2
| ~ spl8_14
| ~ spl8_84
| ~ spl8_113
| ~ spl8_121 ),
inference(avatar_split_clause,[],[f3481,f2434,f1482,f716,f315,f259,f660]) ).
fof(f3481,plain,
( e0 = e2
| e0 = op(e1,e0)
| ~ spl8_14
| ~ spl8_84
| ~ spl8_113
| ~ spl8_121 ),
inference(duplicate_literal_removal,[],[f3480]) ).
fof(f3480,plain,
( e0 = e2
| e0 = op(e1,e0)
| e0 = e2
| ~ spl8_14
| ~ spl8_84
| ~ spl8_113
| ~ spl8_121 ),
inference(forward_demodulation,[],[f3479,f317]) ).
fof(f3479,plain,
( e0 = op(e1,e0)
| e0 = e2
| e0 = op(e0,e0)
| ~ spl8_84
| ~ spl8_113
| ~ spl8_121 ),
inference(duplicate_literal_removal,[],[f3478]) ).
fof(f3478,plain,
( e0 = op(e1,e0)
| e0 = e2
| e0 = op(e1,e0)
| e0 = op(e0,e0)
| ~ spl8_84
| ~ spl8_113
| ~ spl8_121 ),
inference(forward_demodulation,[],[f1719,f3432]) ).
fof(f1719,plain,
( e0 = e2
| e0 = op(e3,e0)
| e0 = op(e1,e0)
| e0 = op(e0,e0)
| ~ spl8_113 ),
inference(forward_demodulation,[],[f126,f1484]) ).
fof(f3476,plain,
( spl8_113
| spl8_4
| ~ spl8_80
| ~ spl8_84
| ~ spl8_111
| ~ spl8_121 ),
inference(avatar_split_clause,[],[f3450,f2434,f1386,f716,f670,f269,f1482]) ).
fof(f3450,plain,
( e1 = e2
| e2 = op(e2,e0)
| ~ spl8_80
| ~ spl8_84
| ~ spl8_111
| ~ spl8_121 ),
inference(duplicate_literal_removal,[],[f3449]) ).
fof(f3449,plain,
( e1 = e2
| e1 = e2
| e2 = op(e2,e0)
| ~ spl8_80
| ~ spl8_84
| ~ spl8_111
| ~ spl8_121 ),
inference(forward_demodulation,[],[f3429,f3432]) ).
fof(f3429,plain,
( e1 = e2
| e2 = e3
| e2 = op(e2,e0)
| ~ spl8_80
| ~ spl8_84
| ~ spl8_111 ),
inference(forward_demodulation,[],[f2952,f717]) ).
fof(f2952,plain,
( e2 = e3
| e2 = op(e2,e3)
| e2 = op(e2,e0)
| ~ spl8_80
| ~ spl8_111 ),
inference(duplicate_literal_removal,[],[f2951]) ).
fof(f2951,plain,
( e2 = e3
| e2 = e3
| e2 = op(e2,e3)
| e2 = op(e2,e0)
| ~ spl8_80
| ~ spl8_111 ),
inference(forward_demodulation,[],[f2032,f1388]) ).
fof(f3448,plain,
( spl8_6
| spl8_4
| ~ spl8_80
| ~ spl8_84
| ~ spl8_111
| ~ spl8_123 ),
inference(avatar_split_clause,[],[f3424,f2607,f1386,f716,f670,f269,f279]) ).
fof(f3424,plain,
( e1 = e2
| e2 = e3
| ~ spl8_80
| ~ spl8_84
| ~ spl8_111
| ~ spl8_123 ),
inference(duplicate_literal_removal,[],[f3423]) ).
fof(f3423,plain,
( e1 = e2
| e1 = e2
| e2 = e3
| ~ spl8_80
| ~ spl8_84
| ~ spl8_111
| ~ spl8_123 ),
inference(forward_demodulation,[],[f3422,f2608]) ).
fof(f3422,plain,
( e1 = e2
| e2 = e3
| e2 = op(e2,e0)
| ~ spl8_80
| ~ spl8_84
| ~ spl8_111 ),
inference(forward_demodulation,[],[f2367,f717]) ).
fof(f2367,plain,
( e2 = e3
| e2 = op(e2,e3)
| e2 = op(e2,e0)
| ~ spl8_80
| ~ spl8_111 ),
inference(duplicate_literal_removal,[],[f2366]) ).
fof(f2366,plain,
( e2 = e3
| e2 = e3
| e2 = op(e2,e3)
| e2 = op(e2,e0)
| ~ spl8_80
| ~ spl8_111 ),
inference(forward_demodulation,[],[f2032,f1388]) ).
fof(f3381,plain,
( spl8_3
| ~ spl8_93
| ~ spl8_111 ),
inference(avatar_split_clause,[],[f3079,f1386,f787,f264]) ).
fof(f3079,plain,
( e0 = e3
| ~ spl8_93
| ~ spl8_111 ),
inference(superposition,[],[f789,f1388]) ).
fof(f3379,plain,
( ~ spl8_123
| spl8_84
| ~ spl8_93
| ~ spl8_111 ),
inference(avatar_split_clause,[],[f3305,f1386,f787,f716,f2607]) ).
fof(f3305,plain,
( e1 != op(e2,e0)
| spl8_84
| ~ spl8_93
| ~ spl8_111 ),
inference(forward_demodulation,[],[f718,f3079]) ).
fof(f718,plain,
( e1 != op(e2,e3)
| spl8_84 ),
inference(avatar_component_clause,[],[f716]) ).
fof(f3375,plain,
( spl8_1
| spl8_123
| ~ spl8_80
| ~ spl8_93
| ~ spl8_111 ),
inference(avatar_split_clause,[],[f3213,f1386,f787,f670,f2607,f254]) ).
fof(f3213,plain,
( e1 = op(e2,e0)
| e0 = e1
| ~ spl8_80
| ~ spl8_93
| ~ spl8_111 ),
inference(duplicate_literal_removal,[],[f3212]) ).
fof(f3212,plain,
( e1 = op(e2,e0)
| e0 = e1
| e1 = op(e2,e0)
| ~ spl8_80
| ~ spl8_93
| ~ spl8_111 ),
inference(forward_demodulation,[],[f3117,f3079]) ).
fof(f3117,plain,
( e0 = e1
| e1 = op(e2,e3)
| e1 = op(e2,e0)
| ~ spl8_80
| ~ spl8_93
| ~ spl8_111 ),
inference(forward_demodulation,[],[f2949,f3079]) ).
fof(f3371,plain,
( spl8_14
| ~ spl8_93
| ~ spl8_106
| ~ spl8_111 ),
inference(avatar_split_clause,[],[f3277,f1386,f1324,f787,f315]) ).
fof(f3277,plain,
( op(e0,e0) = e2
| ~ spl8_93
| ~ spl8_106
| ~ spl8_111 ),
inference(forward_demodulation,[],[f1326,f3079]) ).
fof(f3309,plain,
( spl8_18
| ~ spl8_14
| ~ spl8_82
| ~ spl8_122 ),
inference(avatar_split_clause,[],[f3257,f2494,f707,f315,f333]) ).
fof(f3257,plain,
( op(e0,e0) = e1
| ~ spl8_14
| ~ spl8_82
| ~ spl8_122 ),
inference(forward_demodulation,[],[f317,f3085]) ).
fof(f3285,plain,
( spl8_1
| ~ spl8_14
| ~ spl8_82
| ~ spl8_84
| ~ spl8_93
| ~ spl8_111
| ~ spl8_122 ),
inference(avatar_split_clause,[],[f3268,f2494,f1386,f787,f716,f707,f315,f254]) ).
fof(f3268,plain,
( e0 = e1
| ~ spl8_14
| ~ spl8_82
| ~ spl8_84
| ~ spl8_93
| ~ spl8_111
| ~ spl8_122 ),
inference(duplicate_literal_removal,[],[f3267]) ).
fof(f3267,plain,
( e0 = e1
| e0 = e1
| ~ spl8_14
| ~ spl8_82
| ~ spl8_84
| ~ spl8_93
| ~ spl8_111
| ~ spl8_122 ),
inference(forward_demodulation,[],[f3266,f3079]) ).
fof(f3266,plain,
( e1 = e3
| e0 = e1
| ~ spl8_14
| ~ spl8_82
| ~ spl8_84
| ~ spl8_93
| ~ spl8_111
| ~ spl8_122 ),
inference(forward_demodulation,[],[f3265,f3104]) ).
fof(f3104,plain,
( e1 = op(e1,e0)
| ~ spl8_82
| ~ spl8_84
| ~ spl8_93
| ~ spl8_111
| ~ spl8_122 ),
inference(forward_demodulation,[],[f3101,f3085]) ).
fof(f3101,plain,
( e1 = op(e2,e0)
| ~ spl8_84
| ~ spl8_93
| ~ spl8_111 ),
inference(forward_demodulation,[],[f717,f3079]) ).
fof(f3265,plain,
( e3 = op(e1,e0)
| e0 = e1
| ~ spl8_14
| ~ spl8_82
| ~ spl8_93
| ~ spl8_111
| ~ spl8_122 ),
inference(duplicate_literal_removal,[],[f3264]) ).
fof(f3264,plain,
( e3 = op(e1,e0)
| e0 = e1
| e3 = op(e1,e0)
| ~ spl8_14
| ~ spl8_82
| ~ spl8_93
| ~ spl8_111
| ~ spl8_122 ),
inference(forward_demodulation,[],[f3263,f3085]) ).
fof(f3263,plain,
( e0 = e1
| e3 = op(e2,e0)
| e3 = op(e1,e0)
| ~ spl8_14
| ~ spl8_82
| ~ spl8_93
| ~ spl8_111
| ~ spl8_122 ),
inference(duplicate_literal_removal,[],[f3262]) ).
fof(f3262,plain,
( e0 = e1
| e0 = e1
| e3 = op(e2,e0)
| e3 = op(e1,e0)
| ~ spl8_14
| ~ spl8_82
| ~ spl8_93
| ~ spl8_111
| ~ spl8_122 ),
inference(forward_demodulation,[],[f3261,f3257]) ).
fof(f3261,plain,
( e0 = op(e0,e0)
| e0 = e1
| e3 = op(e2,e0)
| e3 = op(e1,e0)
| ~ spl8_14
| ~ spl8_82
| ~ spl8_93
| ~ spl8_111
| ~ spl8_122 ),
inference(forward_demodulation,[],[f3247,f3079]) ).
fof(f3247,plain,
( e0 = e1
| e3 = op(e3,e0)
| e3 = op(e2,e0)
| e3 = op(e1,e0)
| ~ spl8_14
| ~ spl8_82
| ~ spl8_93
| ~ spl8_111
| ~ spl8_122 ),
inference(forward_demodulation,[],[f3246,f3085]) ).
fof(f3246,plain,
( e0 = e2
| e3 = op(e3,e0)
| e3 = op(e2,e0)
| e3 = op(e1,e0)
| ~ spl8_14
| ~ spl8_93
| ~ spl8_111 ),
inference(forward_demodulation,[],[f2093,f3079]) ).
fof(f3259,plain,
( spl8_1
| ~ spl8_14
| ~ spl8_82
| ~ spl8_84
| ~ spl8_89
| ~ spl8_93
| ~ spl8_111
| ~ spl8_122 ),
inference(avatar_split_clause,[],[f3255,f2494,f1386,f787,f744,f716,f707,f315,f254]) ).
fof(f3255,plain,
( e0 = e1
| ~ spl8_14
| ~ spl8_82
| ~ spl8_84
| ~ spl8_89
| ~ spl8_93
| ~ spl8_111
| ~ spl8_122 ),
inference(duplicate_literal_removal,[],[f3254]) ).
fof(f3254,plain,
( e0 = e1
| e0 = e1
| ~ spl8_14
| ~ spl8_82
| ~ spl8_84
| ~ spl8_89
| ~ spl8_93
| ~ spl8_111
| ~ spl8_122 ),
inference(forward_demodulation,[],[f3253,f3079]) ).
fof(f3253,plain,
( e1 = e3
| e0 = e1
| ~ spl8_14
| ~ spl8_82
| ~ spl8_84
| ~ spl8_89
| ~ spl8_93
| ~ spl8_111
| ~ spl8_122 ),
inference(forward_demodulation,[],[f3252,f3104]) ).
fof(f3252,plain,
( e3 = op(e1,e0)
| e0 = e1
| ~ spl8_14
| ~ spl8_82
| ~ spl8_89
| ~ spl8_93
| ~ spl8_111
| ~ spl8_122 ),
inference(duplicate_literal_removal,[],[f3251]) ).
fof(f3251,plain,
( e3 = op(e1,e0)
| e0 = e1
| e3 = op(e1,e0)
| ~ spl8_14
| ~ spl8_82
| ~ spl8_89
| ~ spl8_93
| ~ spl8_111
| ~ spl8_122 ),
inference(forward_demodulation,[],[f3250,f3085]) ).
fof(f3250,plain,
( e0 = e1
| e3 = op(e2,e0)
| e3 = op(e1,e0)
| ~ spl8_14
| ~ spl8_82
| ~ spl8_89
| ~ spl8_93
| ~ spl8_111
| ~ spl8_122 ),
inference(duplicate_literal_removal,[],[f3249]) ).
fof(f3249,plain,
( e0 = e1
| e0 = e1
| e3 = op(e2,e0)
| e3 = op(e1,e0)
| ~ spl8_14
| ~ spl8_82
| ~ spl8_89
| ~ spl8_93
| ~ spl8_111
| ~ spl8_122 ),
inference(forward_demodulation,[],[f3248,f3079]) ).
fof(f3248,plain,
( e1 = e3
| e0 = e1
| e3 = op(e2,e0)
| e3 = op(e1,e0)
| ~ spl8_14
| ~ spl8_82
| ~ spl8_89
| ~ spl8_93
| ~ spl8_111
| ~ spl8_122 ),
inference(forward_demodulation,[],[f3247,f745]) ).
fof(f3139,plain,
( ~ spl8_21
| ~ spl8_22 ),
inference(avatar_split_clause,[],[f3107,f351,f347]) ).
fof(f3107,plain,
( ~ sP0
| ~ spl8_22 ),
inference(trivial_inequality_removal,[],[f3106]) ).
fof(f3106,plain,
( e0 != e0
| ~ sP0
| ~ spl8_22 ),
inference(forward_demodulation,[],[f188,f353]) ).
fof(f353,plain,
( e0 = op(e0,e0)
| ~ spl8_22 ),
inference(avatar_component_clause,[],[f351]) ).
fof(f188,plain,
( e0 != op(e0,e0)
| ~ sP0 ),
inference(cnf_transformation,[],[f70]) ).
fof(f70,plain,
( ( e0 != op(e0,e0)
& e0 = op(e0,e0) )
| ~ sP0 ),
inference(nnf_transformation,[],[f54]) ).
fof(f3103,plain,
( spl8_1
| ~ spl8_84
| ~ spl8_93
| ~ spl8_95
| ~ spl8_111 ),
inference(avatar_split_clause,[],[f3102,f1386,f798,f787,f716,f254]) ).
fof(f3102,plain,
( e0 = e1
| ~ spl8_84
| ~ spl8_93
| ~ spl8_95
| ~ spl8_111 ),
inference(forward_demodulation,[],[f3101,f800]) ).
fof(f3097,plain,
( spl8_84
| spl8_5
| spl8_1
| ~ spl8_80
| ~ spl8_95
| ~ spl8_111 ),
inference(avatar_split_clause,[],[f2950,f1386,f798,f670,f254,f274,f716]) ).
fof(f2950,plain,
( e0 = e1
| e1 = e3
| e1 = op(e2,e3)
| ~ spl8_80
| ~ spl8_95
| ~ spl8_111 ),
inference(forward_demodulation,[],[f2949,f800]) ).
fof(f3093,plain,
( spl8_106
| spl8_2
| ~ spl8_22
| ~ spl8_78
| ~ spl8_95 ),
inference(avatar_split_clause,[],[f2988,f798,f660,f351,f259,f1324]) ).
fof(f2988,plain,
( e0 = e2
| e2 = op(e3,e0)
| ~ spl8_22
| ~ spl8_78
| ~ spl8_95 ),
inference(duplicate_literal_removal,[],[f2987]) ).
fof(f2987,plain,
( e0 = e2
| e0 = e2
| e2 = op(e3,e0)
| ~ spl8_22
| ~ spl8_78
| ~ spl8_95 ),
inference(forward_demodulation,[],[f2902,f353]) ).
fof(f2902,plain,
( e0 = e2
| e2 = op(e3,e0)
| op(e0,e0) = e2
| ~ spl8_78
| ~ spl8_95 ),
inference(duplicate_literal_removal,[],[f2901]) ).
fof(f2901,plain,
( e0 = e2
| e0 = e2
| e2 = op(e3,e0)
| op(e0,e0) = e2
| ~ spl8_78
| ~ spl8_95 ),
inference(forward_demodulation,[],[f1172,f661]) ).
fof(f3060,plain,
( spl8_5
| ~ spl8_85
| ~ spl8_119 ),
inference(avatar_split_clause,[],[f3052,f2077,f723,f274]) ).
fof(f3052,plain,
( e1 = e3
| ~ spl8_85
| ~ spl8_119 ),
inference(superposition,[],[f2079,f724]) ).
fof(f2977,plain,
( spl8_1
| ~ spl8_73
| ~ spl8_78 ),
inference(avatar_split_clause,[],[f2958,f660,f610,f254]) ).
fof(f2958,plain,
( e0 = e1
| ~ spl8_73
| ~ spl8_78 ),
inference(forward_demodulation,[],[f611,f661]) ).
fof(f2887,plain,
( spl8_1
| ~ spl8_71
| ~ spl8_74 ),
inference(avatar_split_clause,[],[f1700,f615,f596,f254]) ).
fof(f1700,plain,
( e0 = e1
| ~ spl8_71
| ~ spl8_74 ),
inference(superposition,[],[f598,f617]) ).
fof(f2878,plain,
( ~ spl8_113
| ~ spl8_71
| ~ spl8_74
| ~ spl8_109
| spl8_111
| ~ spl8_121 ),
inference(avatar_split_clause,[],[f2717,f2434,f1386,f1368,f615,f596,f1482]) ).
fof(f2717,plain,
( e2 != op(e2,e0)
| ~ spl8_71
| ~ spl8_74
| ~ spl8_109
| spl8_111
| ~ spl8_121 ),
inference(forward_demodulation,[],[f1792,f2639]) ).
fof(f1792,plain,
( e3 != op(e2,e0)
| ~ spl8_71
| ~ spl8_74
| spl8_111 ),
inference(forward_demodulation,[],[f1387,f1700]) ).
fof(f1387,plain,
( e3 != op(e2,e1)
| spl8_111 ),
inference(avatar_component_clause,[],[f1386]) ).
fof(f2862,plain,
( spl8_113
| spl8_95
| ~ spl8_71
| ~ spl8_74
| ~ spl8_109
| ~ spl8_121 ),
inference(avatar_split_clause,[],[f2733,f2434,f1368,f615,f596,f798,f1482]) ).
fof(f2733,plain,
( e0 = op(e2,e0)
| e2 = op(e2,e0)
| ~ spl8_71
| ~ spl8_74
| ~ spl8_109
| ~ spl8_121 ),
inference(duplicate_literal_removal,[],[f2732]) ).
fof(f2732,plain,
( e0 = op(e2,e0)
| e0 = op(e2,e0)
| e2 = op(e2,e0)
| ~ spl8_71
| ~ spl8_74
| ~ spl8_109
| ~ spl8_121 ),
inference(forward_demodulation,[],[f2731,f1700]) ).
fof(f2731,plain,
( e0 = op(e2,e0)
| e2 = op(e2,e0)
| e0 = op(e2,e1)
| ~ spl8_71
| ~ spl8_74
| ~ spl8_109
| ~ spl8_121 ),
inference(forward_demodulation,[],[f2730,f1700]) ).
fof(f2730,plain,
( e2 = op(e2,e0)
| e1 = op(e2,e1)
| e0 = op(e2,e1)
| ~ spl8_71
| ~ spl8_74
| ~ spl8_109
| ~ spl8_121 ),
inference(duplicate_literal_removal,[],[f2729]) ).
fof(f2729,plain,
( e2 = op(e2,e0)
| e2 = op(e2,e0)
| e1 = op(e2,e1)
| e0 = op(e2,e1)
| ~ spl8_71
| ~ spl8_74
| ~ spl8_109
| ~ spl8_121 ),
inference(forward_demodulation,[],[f2728,f1700]) ).
fof(f2728,plain,
( e2 = op(e2,e0)
| e2 = op(e2,e1)
| e1 = op(e2,e1)
| e0 = op(e2,e1)
| ~ spl8_71
| ~ spl8_74
| ~ spl8_109
| ~ spl8_121 ),
inference(forward_demodulation,[],[f1788,f2639]) ).
fof(f1788,plain,
( e3 = op(e2,e0)
| e2 = op(e2,e1)
| e1 = op(e2,e1)
| e0 = op(e2,e1)
| ~ spl8_71
| ~ spl8_74 ),
inference(forward_demodulation,[],[f166,f1700]) ).
fof(f166,plain,
( e3 = op(e2,e1)
| e2 = op(e2,e1)
| e1 = op(e2,e1)
| e0 = op(e2,e1) ),
inference(cnf_transformation,[],[f1]) ).
fof(f1,axiom,
( ( e3 = op(e3,e3)
| e2 = op(e3,e3)
| e1 = op(e3,e3)
| e0 = op(e3,e3) )
& ( e3 = op(e3,e2)
| e2 = op(e3,e2)
| e1 = op(e3,e2)
| e0 = op(e3,e2) )
& ( e3 = op(e3,e1)
| e2 = op(e3,e1)
| e1 = op(e3,e1)
| e0 = op(e3,e1) )
& ( e3 = op(e3,e0)
| e2 = op(e3,e0)
| e1 = op(e3,e0)
| e0 = op(e3,e0) )
& ( e3 = op(e2,e3)
| e2 = op(e2,e3)
| e1 = op(e2,e3)
| e0 = op(e2,e3) )
& ( e3 = op(e2,e2)
| e2 = op(e2,e2)
| e1 = op(e2,e2)
| e0 = op(e2,e2) )
& ( e3 = op(e2,e1)
| e2 = op(e2,e1)
| e1 = op(e2,e1)
| e0 = op(e2,e1) )
& ( e3 = op(e2,e0)
| e2 = op(e2,e0)
| e1 = op(e2,e0)
| e0 = op(e2,e0) )
& ( e3 = op(e1,e3)
| e2 = op(e1,e3)
| e1 = op(e1,e3)
| e0 = op(e1,e3) )
& ( e3 = op(e1,e2)
| e2 = op(e1,e2)
| e1 = op(e1,e2)
| e0 = op(e1,e2) )
& ( e3 = op(e1,e1)
| e2 = op(e1,e1)
| e1 = op(e1,e1)
| e0 = op(e1,e1) )
& ( e3 = op(e1,e0)
| e2 = op(e1,e0)
| e1 = op(e1,e0)
| e0 = op(e1,e0) )
& ( e3 = op(e0,e3)
| e2 = op(e0,e3)
| e1 = op(e0,e3)
| e0 = op(e0,e3) )
& ( e3 = op(e0,e2)
| e2 = op(e0,e2)
| e1 = op(e0,e2)
| e0 = op(e0,e2) )
& ( e3 = op(e0,e1)
| e2 = op(e0,e1)
| e1 = op(e0,e1)
| e0 = op(e0,e1) )
& ( op(e0,e0) = e3
| op(e0,e0) = e2
| op(e0,e0) = e1
| e0 = op(e0,e0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax1) ).
fof(f2738,plain,
( spl8_2
| spl8_97
| ~ spl8_71
| ~ spl8_74
| ~ spl8_88 ),
inference(avatar_split_clause,[],[f2723,f737,f615,f596,f809,f259]) ).
fof(f2723,plain,
( e2 = op(e0,e2)
| e0 = e2
| ~ spl8_71
| ~ spl8_74
| ~ spl8_88 ),
inference(duplicate_literal_removal,[],[f2722]) ).
fof(f2722,plain,
( e2 = op(e0,e2)
| e0 = e2
| e2 = op(e0,e2)
| ~ spl8_71
| ~ spl8_74
| ~ spl8_88 ),
inference(forward_demodulation,[],[f2721,f1700]) ).
fof(f2721,plain,
( e0 = e2
| e2 = op(e1,e2)
| e2 = op(e0,e2)
| ~ spl8_71
| ~ spl8_74
| ~ spl8_88 ),
inference(duplicate_literal_removal,[],[f2720]) ).
fof(f2720,plain,
( e0 = e2
| e0 = e2
| e2 = op(e1,e2)
| e2 = op(e0,e2)
| ~ spl8_71
| ~ spl8_74
| ~ spl8_88 ),
inference(forward_demodulation,[],[f2719,f1700]) ).
fof(f2719,plain,
( e1 = e2
| e0 = e2
| e2 = op(e1,e2)
| e2 = op(e0,e2)
| ~ spl8_71
| ~ spl8_74
| ~ spl8_88 ),
inference(forward_demodulation,[],[f2718,f738]) ).
fof(f2718,plain,
( e0 = e2
| e2 = op(e3,e2)
| e2 = op(e1,e2)
| e2 = op(e0,e2)
| ~ spl8_71
| ~ spl8_74 ),
inference(forward_demodulation,[],[f1301,f1700]) ).
fof(f2665,plain,
( spl8_72
| spl8_1
| spl8_2
| spl8_3
| ~ spl8_88
| ~ spl8_100
| ~ spl8_120 ),
inference(avatar_split_clause,[],[f2577,f2409,f923,f737,f264,f259,f254,f600]) ).
fof(f2577,plain,
( e0 = e3
| e0 = e2
| e0 = e1
| e0 = op(e3,e3)
| ~ spl8_88
| ~ spl8_100
| ~ spl8_120 ),
inference(forward_demodulation,[],[f2576,f924]) ).
fof(f2576,plain,
( e0 = e2
| e0 = e1
| e0 = op(e3,e3)
| e0 = op(e3,e0)
| ~ spl8_88
| ~ spl8_120 ),
inference(forward_demodulation,[],[f2403,f2411]) ).
fof(f2649,plain,
( ~ spl8_120
| ~ spl8_8
| ~ spl8_92 ),
inference(avatar_split_clause,[],[f2636,f771,f288,f2409]) ).
fof(f2636,plain,
( e2 != op(e3,e1)
| ~ spl8_8
| ~ spl8_92 ),
inference(trivial_inequality_removal,[],[f2635]) ).
fof(f2635,plain,
( e0 != e0
| e2 != op(e3,e1)
| ~ spl8_8
| ~ spl8_92 ),
inference(forward_demodulation,[],[f2620,f773]) ).
fof(f2620,plain,
( e2 != op(e3,e1)
| e0 != op(e1,e3)
| ~ spl8_8 ),
inference(trivial_inequality_removal,[],[f2619]) ).
fof(f2619,plain,
( e3 != e3
| e2 != op(e3,e1)
| e0 != op(e1,e3)
| ~ spl8_8 ),
inference(forward_demodulation,[],[f232,f290]) ).
fof(f232,plain,
( e3 != op(e1,e1)
| e2 != op(e3,e1)
| e0 != op(e1,e3) ),
inference(inner_rewriting,[],[f208]) ).
fof(f208,plain,
( e3 != op(e1,e1)
| e2 != op(op(e1,e1),e1)
| e0 != op(e1,op(e1,e1)) ),
inference(cnf_transformation,[],[f33]) ).
fof(f33,plain,
( e3 != op(e1,e1)
| e2 != op(op(e1,e1),e1)
| e0 != op(e1,op(e1,e1)) ),
inference(ennf_transformation,[],[f9]) ).
fof(f9,axiom,
~ ( e3 = op(e1,e1)
& e2 = op(op(e1,e1),e1)
& e0 = op(e1,op(e1,e1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax9) ).
fof(f2634,plain,
( spl8_2
| ~ spl8_92
| ~ spl8_122 ),
inference(avatar_split_clause,[],[f2626,f2494,f771,f259]) ).
fof(f2626,plain,
( e0 = e2
| ~ spl8_92
| ~ spl8_122 ),
inference(superposition,[],[f773,f2496]) ).
fof(f2611,plain,
( spl8_97
| spl8_4
| spl8_2
| ~ spl8_71
| ~ spl8_88
| ~ spl8_91 ),
inference(avatar_split_clause,[],[f2580,f767,f737,f596,f259,f269,f809]) ).
fof(f2580,plain,
( e0 = e2
| e1 = e2
| e2 = op(e0,e2)
| ~ spl8_71
| ~ spl8_88
| ~ spl8_91 ),
inference(duplicate_literal_removal,[],[f2579]) ).
fof(f2579,plain,
( e0 = e2
| e0 = e2
| e1 = e2
| e2 = op(e0,e2)
| ~ spl8_71
| ~ spl8_88
| ~ spl8_91 ),
inference(forward_demodulation,[],[f2578,f769]) ).
fof(f2578,plain,
( e0 = e2
| e1 = e2
| e2 = op(e1,e2)
| e2 = op(e0,e2)
| ~ spl8_71
| ~ spl8_88 ),
inference(forward_demodulation,[],[f2402,f598]) ).
fof(f2610,plain,
( ~ spl8_118
| ~ spl8_123
| ~ spl8_14 ),
inference(avatar_split_clause,[],[f2599,f315,f2607,f2073]) ).
fof(f2599,plain,
( e1 != op(e2,e0)
| e3 != op(e0,e2)
| ~ spl8_14 ),
inference(trivial_inequality_removal,[],[f2598]) ).
fof(f2598,plain,
( e2 != e2
| e1 != op(e2,e0)
| e3 != op(e0,e2)
| ~ spl8_14 ),
inference(forward_demodulation,[],[f250,f317]) ).
fof(f250,plain,
( op(e0,e0) != e2
| e1 != op(e2,e0)
| e3 != op(e0,e2) ),
inference(inner_rewriting,[],[f226]) ).
fof(f226,plain,
( op(e0,e0) != e2
| e1 != op(op(e0,e0),e0)
| e3 != op(e0,op(e0,e0)) ),
inference(cnf_transformation,[],[f51]) ).
fof(f51,plain,
( op(e0,e0) != e2
| e1 != op(op(e0,e0),e0)
| e3 != op(e0,op(e0,e0)) ),
inference(ennf_transformation,[],[f27]) ).
fof(f27,axiom,
~ ( op(e0,e0) = e2
& e1 = op(op(e0,e0),e0)
& e3 = op(e0,op(e0,e0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax27) ).
fof(f2597,plain,
( spl8_118
| spl8_5
| spl8_3
| ~ spl8_71
| ~ spl8_88
| ~ spl8_91 ),
inference(avatar_split_clause,[],[f2575,f767,f737,f596,f264,f274,f2073]) ).
fof(f2575,plain,
( e0 = e3
| e1 = e3
| e3 = op(e0,e2)
| ~ spl8_71
| ~ spl8_88
| ~ spl8_91 ),
inference(duplicate_literal_removal,[],[f2574]) ).
fof(f2574,plain,
( e0 = e3
| e0 = e3
| e1 = e3
| e3 = op(e0,e2)
| ~ spl8_71
| ~ spl8_88
| ~ spl8_91 ),
inference(forward_demodulation,[],[f2573,f769]) ).
fof(f2573,plain,
( e0 = e3
| e1 = e3
| e3 = op(e1,e2)
| e3 = op(e0,e2)
| ~ spl8_71
| ~ spl8_88 ),
inference(forward_demodulation,[],[f2526,f598]) ).
fof(f2526,plain,
( e1 = e3
| e3 = op(e2,e2)
| e3 = op(e1,e2)
| e3 = op(e0,e2)
| ~ spl8_88 ),
inference(forward_demodulation,[],[f148,f738]) ).
fof(f2569,plain,
( spl8_3
| spl8_6
| spl8_5
| ~ spl8_14
| ~ spl8_85
| ~ spl8_90
| ~ spl8_117 ),
inference(avatar_split_clause,[],[f2558,f2064,f762,f723,f315,f274,f279,f264]) ).
fof(f2558,plain,
( e1 = e3
| e2 = e3
| e0 = e3
| ~ spl8_14
| ~ spl8_85
| ~ spl8_90
| ~ spl8_117 ),
inference(duplicate_literal_removal,[],[f2557]) ).
fof(f2557,plain,
( e1 = e3
| e2 = e3
| e1 = e3
| e0 = e3
| ~ spl8_14
| ~ spl8_85
| ~ spl8_90
| ~ spl8_117 ),
inference(forward_demodulation,[],[f2090,f724]) ).
fof(f2556,plain,
( spl8_117
| spl8_88
| spl8_1
| ~ spl8_71
| ~ spl8_91 ),
inference(avatar_split_clause,[],[f2546,f767,f596,f254,f737,f2064]) ).
fof(f2546,plain,
( e0 = e1
| e1 = op(e3,e2)
| e1 = op(e0,e2)
| ~ spl8_71
| ~ spl8_91 ),
inference(duplicate_literal_removal,[],[f2545]) ).
fof(f2545,plain,
( e0 = e1
| e0 = e1
| e1 = op(e3,e2)
| e1 = op(e0,e2)
| ~ spl8_71
| ~ spl8_91 ),
inference(forward_demodulation,[],[f1894,f769]) ).
fof(f1894,plain,
( e0 = e1
| e1 = op(e3,e2)
| e1 = op(e1,e2)
| e1 = op(e0,e2)
| ~ spl8_71 ),
inference(forward_demodulation,[],[f144,f598]) ).
fof(f2544,plain,
( spl8_120
| spl8_4
| spl8_6
| ~ spl8_75
| ~ spl8_88
| ~ spl8_100 ),
inference(avatar_split_clause,[],[f2510,f923,f737,f619,f279,f269,f2409]) ).
fof(f2510,plain,
( e2 = e3
| e1 = e2
| e2 = op(e3,e1)
| ~ spl8_75
| ~ spl8_88
| ~ spl8_100 ),
inference(forward_demodulation,[],[f2406,f924]) ).
fof(f2406,plain,
( e1 = e2
| e2 = op(e3,e1)
| e2 = op(e3,e0)
| ~ spl8_75
| ~ spl8_88 ),
inference(duplicate_literal_removal,[],[f2405]) ).
fof(f2405,plain,
( e1 = e2
| e1 = e2
| e2 = op(e3,e1)
| e2 = op(e3,e0)
| ~ spl8_75
| ~ spl8_88 ),
inference(forward_demodulation,[],[f2404,f738]) ).
fof(f2517,plain,
( ~ spl8_90
| ~ spl8_20
| spl8_29 ),
inference(avatar_split_clause,[],[f605,f386,f342,f762]) ).
fof(f386,plain,
( spl8_29
<=> op(e0,e1) = op(e1,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_29])]) ).
fof(f605,plain,
( e0 != op(e0,e1)
| ~ spl8_20
| spl8_29 ),
inference(superposition,[],[f388,f344]) ).
fof(f388,plain,
( op(e0,e1) != op(e1,e1)
| spl8_29 ),
inference(avatar_component_clause,[],[f386]) ).
fof(f2509,plain,
( spl8_6
| ~ spl8_100
| ~ spl8_106 ),
inference(avatar_split_clause,[],[f2508,f1324,f923,f279]) ).
fof(f2508,plain,
( e2 = e3
| ~ spl8_100
| ~ spl8_106 ),
inference(forward_demodulation,[],[f924,f1326]) ).
fof(f2507,plain,
( spl8_100
| spl8_115
| spl8_5
| ~ spl8_75
| ~ spl8_88 ),
inference(avatar_split_clause,[],[f2400,f737,f619,f274,f2007,f923]) ).
fof(f2400,plain,
( e1 = e3
| e3 = op(e3,e1)
| e3 = op(e3,e0)
| ~ spl8_75
| ~ spl8_88 ),
inference(duplicate_literal_removal,[],[f2399]) ).
fof(f2399,plain,
( e1 = e3
| e1 = e3
| e3 = op(e3,e1)
| e3 = op(e3,e0)
| ~ spl8_75
| ~ spl8_88 ),
inference(forward_demodulation,[],[f1924,f738]) ).
fof(f2497,plain,
( spl8_122
| spl8_109
| spl8_4
| ~ spl8_75
| ~ spl8_85 ),
inference(avatar_split_clause,[],[f2343,f723,f619,f269,f1368,f2494]) ).
fof(f2343,plain,
( e1 = e2
| e2 = op(e2,e3)
| e2 = op(e1,e3)
| ~ spl8_75
| ~ spl8_85 ),
inference(duplicate_literal_removal,[],[f2342]) ).
fof(f2342,plain,
( e1 = e2
| e1 = e2
| e2 = op(e2,e3)
| e2 = op(e1,e3)
| ~ spl8_75
| ~ spl8_85 ),
inference(forward_demodulation,[],[f2208,f724]) ).
fof(f2483,plain,
( spl8_115
| spl8_6
| spl8_3
| ~ spl8_20
| ~ spl8_90
| ~ spl8_105 ),
inference(avatar_split_clause,[],[f2478,f1311,f762,f342,f264,f279,f2007]) ).
fof(f2478,plain,
( e0 = e3
| e2 = e3
| e3 = op(e3,e1)
| ~ spl8_20
| ~ spl8_90
| ~ spl8_105 ),
inference(duplicate_literal_removal,[],[f2477]) ).
fof(f2477,plain,
( e0 = e3
| e0 = e3
| e2 = e3
| e3 = op(e3,e1)
| ~ spl8_20
| ~ spl8_90
| ~ spl8_105 ),
inference(forward_demodulation,[],[f2476,f763]) ).
fof(f2476,plain,
( e0 = e3
| e2 = e3
| e3 = op(e3,e1)
| e3 = op(e0,e1)
| ~ spl8_20
| ~ spl8_105 ),
inference(forward_demodulation,[],[f2475,f344]) ).
fof(f2474,plain,
( spl8_111
| spl8_5
| spl8_3
| ~ spl8_20
| ~ spl8_90
| ~ spl8_104 ),
inference(avatar_split_clause,[],[f2447,f1207,f762,f342,f264,f274,f1386]) ).
fof(f2447,plain,
( e0 = e3
| e1 = e3
| e3 = op(e2,e1)
| ~ spl8_20
| ~ spl8_90
| ~ spl8_104 ),
inference(duplicate_literal_removal,[],[f2446]) ).
fof(f2446,plain,
( e0 = e3
| e0 = e3
| e1 = e3
| e3 = op(e2,e1)
| ~ spl8_20
| ~ spl8_90
| ~ spl8_104 ),
inference(forward_demodulation,[],[f2445,f763]) ).
fof(f2445,plain,
( e0 = e3
| e1 = e3
| e3 = op(e2,e1)
| e3 = op(e0,e1)
| ~ spl8_20
| ~ spl8_104 ),
inference(forward_demodulation,[],[f2444,f344]) ).
fof(f2444,plain,
( e1 = e3
| e3 = op(e2,e1)
| e3 = op(e1,e1)
| e3 = op(e0,e1)
| ~ spl8_104 ),
inference(forward_demodulation,[],[f140,f1209]) ).
fof(f2467,plain,
( spl8_105
| spl8_4
| spl8_2
| ~ spl8_20
| ~ spl8_90
| ~ spl8_104 ),
inference(avatar_split_clause,[],[f2443,f1207,f762,f342,f259,f269,f1311]) ).
fof(f2443,plain,
( e0 = e2
| e1 = e2
| e2 = op(e2,e1)
| ~ spl8_20
| ~ spl8_90
| ~ spl8_104 ),
inference(duplicate_literal_removal,[],[f2442]) ).
fof(f2442,plain,
( e0 = e2
| e0 = e2
| e1 = e2
| e2 = op(e2,e1)
| ~ spl8_20
| ~ spl8_90
| ~ spl8_104 ),
inference(forward_demodulation,[],[f2441,f763]) ).
fof(f2441,plain,
( e0 = e2
| e1 = e2
| e2 = op(e2,e1)
| e2 = op(e0,e1)
| ~ spl8_20
| ~ spl8_104 ),
inference(forward_demodulation,[],[f2440,f344]) ).
fof(f2460,plain,
( spl8_106
| spl8_4
| ~ spl8_75
| ~ spl8_88
| ~ spl8_104 ),
inference(avatar_split_clause,[],[f2449,f1207,f737,f619,f269,f1324]) ).
fof(f2449,plain,
( e1 = e2
| e2 = op(e3,e0)
| ~ spl8_75
| ~ spl8_88
| ~ spl8_104 ),
inference(duplicate_literal_removal,[],[f2448]) ).
fof(f2448,plain,
( e1 = e2
| e1 = e2
| e2 = op(e3,e0)
| ~ spl8_75
| ~ spl8_88
| ~ spl8_104 ),
inference(forward_demodulation,[],[f2406,f1209]) ).
fof(f2439,plain,
( spl8_101
| ~ spl8_104
| ~ spl8_120
| ~ spl8_121 ),
inference(avatar_split_clause,[],[f2438,f2434,f2409,f1207,f929]) ).
fof(f2438,plain,
( e3 = op(e1,e3)
| ~ spl8_104
| ~ spl8_120
| ~ spl8_121 ),
inference(forward_demodulation,[],[f2436,f2424]) ).
fof(f2437,plain,
( spl8_101
| spl8_121
| spl8_5
| ~ spl8_75
| ~ spl8_85 ),
inference(avatar_split_clause,[],[f2345,f723,f619,f274,f2434,f929]) ).
fof(f2345,plain,
( e1 = e3
| e3 = op(e2,e3)
| e3 = op(e1,e3)
| ~ spl8_75
| ~ spl8_85 ),
inference(duplicate_literal_removal,[],[f2344]) ).
fof(f2344,plain,
( e1 = e3
| e1 = e3
| e3 = op(e2,e3)
| e3 = op(e1,e3)
| ~ spl8_75
| ~ spl8_85 ),
inference(forward_demodulation,[],[f2201,f724]) ).
fof(f2422,plain,
( spl8_104
| spl8_5
| spl8_1
| ~ spl8_20
| ~ spl8_90
| ~ spl8_111 ),
inference(avatar_split_clause,[],[f2360,f1386,f762,f342,f254,f274,f1207]) ).
fof(f2360,plain,
( e0 = e1
| e1 = e3
| e1 = op(e3,e1)
| ~ spl8_20
| ~ spl8_90
| ~ spl8_111 ),
inference(duplicate_literal_removal,[],[f2359]) ).
fof(f2359,plain,
( e0 = e1
| e0 = e1
| e1 = e3
| e1 = op(e3,e1)
| ~ spl8_20
| ~ spl8_90
| ~ spl8_111 ),
inference(forward_demodulation,[],[f2358,f763]) ).
fof(f2358,plain,
( e0 = e1
| e1 = e3
| e1 = op(e3,e1)
| e1 = op(e0,e1)
| ~ spl8_20
| ~ spl8_111 ),
inference(forward_demodulation,[],[f2357,f344]) ).
fof(f2412,plain,
( spl8_120
| spl8_6
| spl8_2
| ~ spl8_20
| ~ spl8_90
| ~ spl8_111 ),
inference(avatar_split_clause,[],[f2355,f1386,f762,f342,f259,f279,f2409]) ).
fof(f2355,plain,
( e0 = e2
| e2 = e3
| e2 = op(e3,e1)
| ~ spl8_20
| ~ spl8_90
| ~ spl8_111 ),
inference(duplicate_literal_removal,[],[f2354]) ).
fof(f2354,plain,
( e0 = e2
| e0 = e2
| e2 = e3
| e2 = op(e3,e1)
| ~ spl8_20
| ~ spl8_90
| ~ spl8_111 ),
inference(forward_demodulation,[],[f2353,f763]) ).
fof(f2353,plain,
( e0 = e2
| e2 = e3
| e2 = op(e3,e1)
| e2 = op(e0,e1)
| ~ spl8_20
| ~ spl8_111 ),
inference(forward_demodulation,[],[f2352,f344]) ).
fof(f2352,plain,
( e2 = e3
| e2 = op(e3,e1)
| e2 = op(e1,e1)
| e2 = op(e0,e1)
| ~ spl8_111 ),
inference(forward_demodulation,[],[f138,f1388]) ).
fof(f2397,plain,
( spl8_3
| spl8_5
| ~ spl8_14
| ~ spl8_85
| ~ spl8_88
| ~ spl8_90
| ~ spl8_114 ),
inference(avatar_split_clause,[],[f2394,f1490,f762,f737,f723,f315,f274,f264]) ).
fof(f2394,plain,
( e1 = e3
| e0 = e3
| ~ spl8_14
| ~ spl8_85
| ~ spl8_88
| ~ spl8_90
| ~ spl8_114 ),
inference(duplicate_literal_removal,[],[f2393]) ).
fof(f2393,plain,
( e1 = e3
| e0 = e3
| e1 = e3
| ~ spl8_14
| ~ spl8_85
| ~ spl8_88
| ~ spl8_90
| ~ spl8_114 ),
inference(forward_demodulation,[],[f2392,f2371]) ).
fof(f2392,plain,
( e2 = e3
| e0 = e3
| e1 = e3
| ~ spl8_14
| ~ spl8_85
| ~ spl8_88
| ~ spl8_90
| ~ spl8_114 ),
inference(forward_demodulation,[],[f2391,f317]) ).
fof(f2391,plain,
( e0 = e3
| e1 = e3
| op(e0,e0) = e3
| ~ spl8_85
| ~ spl8_88
| ~ spl8_90
| ~ spl8_114 ),
inference(duplicate_literal_removal,[],[f2390]) ).
fof(f2390,plain,
( e0 = e3
| e1 = e3
| e0 = e3
| op(e0,e0) = e3
| ~ spl8_85
| ~ spl8_88
| ~ spl8_90
| ~ spl8_114 ),
inference(forward_demodulation,[],[f2389,f763]) ).
fof(f2389,plain,
( e3 = op(e0,e1)
| e1 = e3
| e0 = e3
| op(e0,e0) = e3
| ~ spl8_85
| ~ spl8_88
| ~ spl8_90
| ~ spl8_114 ),
inference(forward_demodulation,[],[f2369,f2371]) ).
fof(f2369,plain,
( e1 = e3
| e0 = e3
| e3 = op(e0,e2)
| op(e0,e0) = e3
| ~ spl8_85
| ~ spl8_90 ),
inference(forward_demodulation,[],[f2057,f724]) ).
fof(f2380,plain,
( spl8_3
| spl8_5
| spl8_6
| ~ spl8_14
| ~ spl8_85
| ~ spl8_90
| ~ spl8_97 ),
inference(avatar_split_clause,[],[f2350,f809,f762,f723,f315,f279,f274,f264]) ).
fof(f2350,plain,
( e2 = e3
| e1 = e3
| e0 = e3
| ~ spl8_14
| ~ spl8_85
| ~ spl8_90
| ~ spl8_97 ),
inference(duplicate_literal_removal,[],[f2349]) ).
fof(f2349,plain,
( e2 = e3
| e1 = e3
| e0 = e3
| e2 = e3
| ~ spl8_14
| ~ spl8_85
| ~ spl8_90
| ~ spl8_97 ),
inference(forward_demodulation,[],[f2224,f317]) ).
fof(f2224,plain,
( e1 = e3
| e0 = e3
| e2 = e3
| op(e0,e0) = e3
| ~ spl8_85
| ~ spl8_90
| ~ spl8_97 ),
inference(forward_demodulation,[],[f1838,f724]) ).
fof(f1838,plain,
( e0 = e3
| e2 = e3
| e3 = op(e0,e3)
| op(e0,e0) = e3
| ~ spl8_90
| ~ spl8_97 ),
inference(forward_demodulation,[],[f1837,f763]) ).
fof(f2339,plain,
( spl8_74
| ~ spl8_88
| ~ spl8_97
| ~ spl8_118 ),
inference(avatar_split_clause,[],[f2338,f2073,f809,f737,f615]) ).
fof(f2338,plain,
( e1 = op(e2,e2)
| ~ spl8_88
| ~ spl8_97
| ~ spl8_118 ),
inference(forward_demodulation,[],[f738,f2250]) ).
fof(f2250,plain,
( e2 = e3
| ~ spl8_97
| ~ spl8_118 ),
inference(superposition,[],[f811,f2075]) ).
fof(f2334,plain,
( spl8_103
| spl8_88
| spl8_5
| ~ spl8_80
| ~ spl8_118 ),
inference(avatar_split_clause,[],[f2243,f2073,f670,f274,f737,f1201]) ).
fof(f2243,plain,
( e1 = e3
| e1 = op(e3,e2)
| e1 = op(e1,e2)
| ~ spl8_80
| ~ spl8_118 ),
inference(duplicate_literal_removal,[],[f2242]) ).
fof(f2242,plain,
( e1 = e3
| e1 = e3
| e1 = op(e3,e2)
| e1 = op(e1,e2)
| ~ spl8_80
| ~ spl8_118 ),
inference(forward_demodulation,[],[f2241,f2075]) ).
fof(f2264,plain,
( spl8_109
| spl8_2
| spl8_4
| ~ spl8_75
| ~ spl8_85
| ~ spl8_92 ),
inference(avatar_split_clause,[],[f2233,f771,f723,f619,f269,f259,f1368]) ).
fof(f2233,plain,
( e1 = e2
| e0 = e2
| e2 = op(e2,e3)
| ~ spl8_75
| ~ spl8_85
| ~ spl8_92 ),
inference(duplicate_literal_removal,[],[f2232]) ).
fof(f2232,plain,
( e1 = e2
| e0 = e2
| e1 = e2
| e2 = op(e2,e3)
| ~ spl8_75
| ~ spl8_85
| ~ spl8_92 ),
inference(forward_demodulation,[],[f2231,f724]) ).
fof(f2231,plain,
( e0 = e2
| e1 = e2
| e2 = op(e2,e3)
| e2 = op(e0,e3)
| ~ spl8_75
| ~ spl8_92 ),
inference(forward_demodulation,[],[f2208,f773]) ).
fof(f2221,plain,
( spl8_4
| ~ spl8_75
| ~ spl8_77 ),
inference(avatar_split_clause,[],[f2167,f635,f619,f269]) ).
fof(f2167,plain,
( e1 = e2
| ~ spl8_75
| ~ spl8_77 ),
inference(forward_demodulation,[],[f637,f621]) ).
fof(f2197,plain,
( spl8_5
| ~ spl8_12
| ~ spl8_85
| ~ spl8_98
| ~ spl8_111 ),
inference(avatar_split_clause,[],[f2196,f1386,f813,f723,f306,f274]) ).
fof(f2196,plain,
( e1 = e3
| ~ spl8_12
| ~ spl8_85
| ~ spl8_98
| ~ spl8_111 ),
inference(forward_demodulation,[],[f2195,f1517]) ).
fof(f2195,plain,
( e2 = e3
| ~ spl8_12
| ~ spl8_85
| ~ spl8_98
| ~ spl8_111 ),
inference(forward_demodulation,[],[f2194,f308]) ).
fof(f2194,plain,
( e3 = op(e1,e1)
| ~ spl8_85
| ~ spl8_98
| ~ spl8_111 ),
inference(forward_demodulation,[],[f1388,f1517]) ).
fof(f2187,plain,
( spl8_111
| spl8_115
| spl8_6
| spl8_3
| ~ spl8_12
| ~ spl8_90 ),
inference(avatar_split_clause,[],[f1877,f762,f306,f264,f279,f2007,f1386]) ).
fof(f1877,plain,
( e0 = e3
| e2 = e3
| e3 = op(e3,e1)
| e3 = op(e2,e1)
| ~ spl8_12
| ~ spl8_90 ),
inference(forward_demodulation,[],[f1246,f763]) ).
fof(f1246,plain,
( e2 = e3
| e3 = op(e3,e1)
| e3 = op(e2,e1)
| e3 = op(e0,e1)
| ~ spl8_12 ),
inference(forward_demodulation,[],[f140,f308]) ).
fof(f2157,plain,
( spl8_2
| ~ spl8_12
| ~ spl8_20 ),
inference(avatar_split_clause,[],[f2133,f342,f306,f259]) ).
fof(f2133,plain,
( e0 = e2
| ~ spl8_12
| ~ spl8_20 ),
inference(superposition,[],[f344,f308]) ).
fof(f2119,plain,
( spl8_5
| ~ spl8_74
| ~ spl8_80 ),
inference(avatar_split_clause,[],[f1669,f670,f615,f274]) ).
fof(f1669,plain,
( e1 = e3
| ~ spl8_74
| ~ spl8_80 ),
inference(forward_demodulation,[],[f672,f617]) ).
fof(f2098,plain,
( spl8_1
| ~ spl8_91
| ~ spl8_103 ),
inference(avatar_split_clause,[],[f2094,f1201,f767,f254]) ).
fof(f2094,plain,
( e0 = e1
| ~ spl8_91
| ~ spl8_103 ),
inference(forward_demodulation,[],[f1202,f769]) ).
fof(f2088,plain,
( spl8_2
| ~ spl8_14
| ~ spl8_22 ),
inference(avatar_split_clause,[],[f2087,f351,f315,f259]) ).
fof(f2087,plain,
( e0 = e2
| ~ spl8_14
| ~ spl8_22 ),
inference(forward_demodulation,[],[f317,f353]) ).
fof(f2084,plain,
( spl8_6
| ~ spl8_98
| ~ spl8_119 ),
inference(avatar_split_clause,[],[f2083,f2077,f813,f279]) ).
fof(f2083,plain,
( e2 = e3
| ~ spl8_98
| ~ spl8_119 ),
inference(forward_demodulation,[],[f2079,f815]) ).
fof(f2082,plain,
( spl8_5
| ~ spl8_117
| ~ spl8_118 ),
inference(avatar_split_clause,[],[f2081,f2073,f2064,f274]) ).
fof(f2081,plain,
( e1 = e3
| ~ spl8_117
| ~ spl8_118 ),
inference(forward_demodulation,[],[f2075,f2066]) ).
fof(f2080,plain,
( spl8_118
| spl8_119
| spl8_3
| ~ spl8_22
| ~ spl8_90 ),
inference(avatar_split_clause,[],[f2059,f762,f351,f264,f2077,f2073]) ).
fof(f2059,plain,
( e0 = e3
| e3 = op(e0,e3)
| e3 = op(e0,e2)
| ~ spl8_22
| ~ spl8_90 ),
inference(duplicate_literal_removal,[],[f2058]) ).
fof(f2058,plain,
( e0 = e3
| e0 = e3
| e3 = op(e0,e3)
| e3 = op(e0,e2)
| ~ spl8_22
| ~ spl8_90 ),
inference(forward_demodulation,[],[f2057,f353]) ).
fof(f2067,plain,
( spl8_117
| spl8_85
| spl8_1
| ~ spl8_22
| ~ spl8_90 ),
inference(avatar_split_clause,[],[f2056,f762,f351,f254,f723,f2064]) ).
fof(f2056,plain,
( e0 = e1
| e1 = op(e0,e3)
| e1 = op(e0,e2)
| ~ spl8_22
| ~ spl8_90 ),
inference(duplicate_literal_removal,[],[f2055]) ).
fof(f2055,plain,
( e0 = e1
| e0 = e1
| e1 = op(e0,e3)
| e1 = op(e0,e2)
| ~ spl8_22
| ~ spl8_90 ),
inference(forward_demodulation,[],[f2054,f353]) ).
fof(f2054,plain,
( e0 = e1
| e1 = op(e0,e3)
| e1 = op(e0,e2)
| op(e0,e0) = e1
| ~ spl8_90 ),
inference(forward_demodulation,[],[f127,f763]) ).
fof(f2052,plain,
( spl8_9
| spl8_7
| ~ spl8_109
| spl8_5
| ~ spl8_75 ),
inference(avatar_split_clause,[],[f2044,f619,f274,f1368,f284,f293]) ).
fof(f2044,plain,
( e1 = e3
| e2 != op(e2,e3)
| sP7
| sP6
| ~ spl8_75 ),
inference(forward_demodulation,[],[f202,f621]) ).
fof(f2043,plain,
( spl8_109
| spl8_6
| spl8_4
| ~ spl8_75
| ~ spl8_85
| ~ spl8_101 ),
inference(avatar_split_clause,[],[f2038,f929,f723,f619,f269,f279,f1368]) ).
fof(f2038,plain,
( e1 = e2
| e2 = e3
| e2 = op(e2,e3)
| ~ spl8_75
| ~ spl8_85
| ~ spl8_101 ),
inference(duplicate_literal_removal,[],[f2037]) ).
fof(f2037,plain,
( e1 = e2
| e2 = e3
| e1 = e2
| e2 = op(e2,e3)
| ~ spl8_75
| ~ spl8_85
| ~ spl8_101 ),
inference(forward_demodulation,[],[f2036,f724]) ).
fof(f2036,plain,
( e2 = e3
| e1 = e2
| e2 = op(e2,e3)
| e2 = op(e0,e3)
| ~ spl8_75
| ~ spl8_101 ),
inference(forward_demodulation,[],[f2035,f931]) ).
fof(f2030,plain,
( spl8_98
| spl8_77
| spl8_2
| spl8_6
| ~ spl8_87
| ~ spl8_101 ),
inference(avatar_split_clause,[],[f1742,f929,f733,f279,f259,f635,f813]) ).
fof(f1742,plain,
( e2 = e3
| e0 = e2
| e2 = op(e3,e3)
| e2 = op(e0,e3)
| ~ spl8_87
| ~ spl8_101 ),
inference(forward_demodulation,[],[f1741,f931]) ).
fof(f2028,plain,
( spl8_17
| spl8_15
| spl8_74
| ~ spl8_115 ),
inference(avatar_split_clause,[],[f195,f2007,f615,f320,f329]) ).
fof(f195,plain,
( e3 != op(e3,e1)
| e1 = op(e2,e2)
| sP3
| sP2 ),
inference(cnf_transformation,[],[f62]) ).
fof(f2022,plain,
( spl8_116
| spl8_5
| spl8_3
| ~ spl8_22
| ~ spl8_73
| ~ spl8_89 ),
inference(avatar_split_clause,[],[f2000,f744,f610,f351,f264,f274,f2019]) ).
fof(f2000,plain,
( e0 = e3
| e1 = e3
| e3 = op(e2,e0)
| ~ spl8_22
| ~ spl8_73
| ~ spl8_89 ),
inference(forward_demodulation,[],[f1999,f353]) ).
fof(f1999,plain,
( e1 = e3
| e3 = op(e2,e0)
| op(e0,e0) = e3
| ~ spl8_73
| ~ spl8_89 ),
inference(duplicate_literal_removal,[],[f1998]) ).
fof(f1998,plain,
( e1 = e3
| e1 = e3
| e3 = op(e2,e0)
| op(e0,e0) = e3
| ~ spl8_73
| ~ spl8_89 ),
inference(forward_demodulation,[],[f1664,f611]) ).
fof(f1664,plain,
( e1 = e3
| e3 = op(e2,e0)
| e3 = op(e1,e0)
| op(e0,e0) = e3
| ~ spl8_89 ),
inference(forward_demodulation,[],[f132,f745]) ).
fof(f2010,plain,
( spl8_115
| spl8_6
| spl8_5
| ~ spl8_75
| ~ spl8_89
| ~ spl8_114 ),
inference(avatar_split_clause,[],[f1927,f1490,f744,f619,f274,f279,f2007]) ).
fof(f1927,plain,
( e1 = e3
| e2 = e3
| e3 = op(e3,e1)
| ~ spl8_75
| ~ spl8_89
| ~ spl8_114 ),
inference(duplicate_literal_removal,[],[f1926]) ).
fof(f1926,plain,
( e1 = e3
| e2 = e3
| e1 = e3
| e3 = op(e3,e1)
| ~ spl8_75
| ~ spl8_89
| ~ spl8_114 ),
inference(forward_demodulation,[],[f1925,f745]) ).
fof(f1925,plain,
( e2 = e3
| e1 = e3
| e3 = op(e3,e1)
| e3 = op(e3,e0)
| ~ spl8_75
| ~ spl8_114 ),
inference(forward_demodulation,[],[f1924,f1492]) ).
fof(f1996,plain,
( spl8_6
| spl8_5
| spl8_3
| ~ spl8_22
| ~ spl8_73
| ~ spl8_89
| ~ spl8_113 ),
inference(avatar_split_clause,[],[f1949,f1482,f744,f610,f351,f264,f274,f279]) ).
fof(f1949,plain,
( e0 = e3
| e1 = e3
| e2 = e3
| ~ spl8_22
| ~ spl8_73
| ~ spl8_89
| ~ spl8_113 ),
inference(forward_demodulation,[],[f1921,f353]) ).
fof(f1921,plain,
( e1 = e3
| e2 = e3
| op(e0,e0) = e3
| ~ spl8_73
| ~ spl8_89
| ~ spl8_113 ),
inference(duplicate_literal_removal,[],[f1920]) ).
fof(f1920,plain,
( e1 = e3
| e2 = e3
| e1 = e3
| op(e0,e0) = e3
| ~ spl8_73
| ~ spl8_89
| ~ spl8_113 ),
inference(forward_demodulation,[],[f1874,f611]) ).
fof(f1874,plain,
( e2 = e3
| e1 = e3
| e3 = op(e1,e0)
| op(e0,e0) = e3
| ~ spl8_89
| ~ spl8_113 ),
inference(forward_demodulation,[],[f1664,f1484]) ).
fof(f1974,plain,
( spl8_9
| spl8_7
| spl8_5
| ~ spl8_74
| ~ spl8_81 ),
inference(avatar_split_clause,[],[f1952,f674,f615,f274,f284,f293]) ).
fof(f1952,plain,
( e1 = e3
| sP7
| sP6
| ~ spl8_74
| ~ spl8_81 ),
inference(trivial_inequality_removal,[],[f1951]) ).
fof(f1951,plain,
( e3 != e3
| e1 = e3
| sP7
| sP6
| ~ spl8_74
| ~ spl8_81 ),
inference(forward_demodulation,[],[f1848,f676]) ).
fof(f1848,plain,
( e1 = e3
| e3 != op(e3,e3)
| sP7
| sP6
| ~ spl8_74 ),
inference(forward_demodulation,[],[f203,f617]) ).
fof(f203,plain,
( e3 != op(e3,e3)
| e3 = op(e2,e2)
| sP7
| sP6 ),
inference(cnf_transformation,[],[f62]) ).
fof(f1948,plain,
( spl8_5
| ~ spl8_75
| ~ spl8_81 ),
inference(avatar_split_clause,[],[f1900,f674,f619,f274]) ).
fof(f1900,plain,
( e1 = e3
| ~ spl8_75
| ~ spl8_81 ),
inference(superposition,[],[f621,f676]) ).
fof(f1930,plain,
( spl8_3
| ~ spl8_71
| ~ spl8_80 ),
inference(avatar_split_clause,[],[f1929,f670,f596,f264]) ).
fof(f1929,plain,
( e0 = e3
| ~ spl8_71
| ~ spl8_80 ),
inference(forward_demodulation,[],[f672,f598]) ).
fof(f1919,plain,
( spl8_9
| spl8_7
| spl8_3
| ~ spl8_71
| ~ spl8_81 ),
inference(avatar_split_clause,[],[f1872,f674,f596,f264,f284,f293]) ).
fof(f1872,plain,
( e0 = e3
| sP7
| sP6
| ~ spl8_71
| ~ spl8_81 ),
inference(forward_demodulation,[],[f1871,f598]) ).
fof(f1871,plain,
( e3 = op(e2,e2)
| sP7
| sP6
| ~ spl8_81 ),
inference(trivial_inequality_removal,[],[f1870]) ).
fof(f1870,plain,
( e3 != e3
| e3 = op(e2,e2)
| sP7
| sP6
| ~ spl8_81 ),
inference(forward_demodulation,[],[f203,f676]) ).
fof(f1917,plain,
( ~ spl8_111
| ~ spl8_12
| ~ spl8_91 ),
inference(avatar_split_clause,[],[f1718,f767,f306,f1386]) ).
fof(f1718,plain,
( e3 != op(e2,e1)
| ~ spl8_12
| ~ spl8_91 ),
inference(trivial_inequality_removal,[],[f1449]) ).
fof(f1449,plain,
( e0 != e0
| e3 != op(e2,e1)
| ~ spl8_12
| ~ spl8_91 ),
inference(forward_demodulation,[],[f1431,f769]) ).
fof(f1431,plain,
( e3 != op(e2,e1)
| e0 != op(e1,e2)
| ~ spl8_12 ),
inference(trivial_inequality_removal,[],[f1430]) ).
fof(f1430,plain,
( e2 != e2
| e3 != op(e2,e1)
| e0 != op(e1,e2)
| ~ spl8_12 ),
inference(forward_demodulation,[],[f234,f308]) ).
fof(f234,plain,
( e2 != op(e1,e1)
| e3 != op(e2,e1)
| e0 != op(e1,e2) ),
inference(inner_rewriting,[],[f210]) ).
fof(f210,plain,
( e2 != op(e1,e1)
| e3 != op(op(e1,e1),e1)
| e0 != op(e1,op(e1,e1)) ),
inference(cnf_transformation,[],[f35]) ).
fof(f35,plain,
( e2 != op(e1,e1)
| e3 != op(op(e1,e1),e1)
| e0 != op(e1,op(e1,e1)) ),
inference(ennf_transformation,[],[f11]) ).
fof(f11,axiom,
~ ( e2 = op(e1,e1)
& e3 = op(op(e1,e1),e1)
& e0 = op(e1,op(e1,e1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax11) ).
fof(f1869,plain,
( spl8_112
| ~ spl8_71
| ~ spl8_74
| ~ spl8_91 ),
inference(avatar_split_clause,[],[f1803,f767,f615,f596,f1413]) ).
fof(f1803,plain,
( e0 = op(e0,e2)
| ~ spl8_71
| ~ spl8_74
| ~ spl8_91 ),
inference(forward_demodulation,[],[f769,f1700]) ).
fof(f1847,plain,
( spl8_6
| ~ spl8_8
| ~ spl8_12 ),
inference(avatar_split_clause,[],[f1846,f306,f288,f279]) ).
fof(f1846,plain,
( e2 = e3
| ~ spl8_8
| ~ spl8_12 ),
inference(forward_demodulation,[],[f290,f308]) ).
fof(f1807,plain,
( spl8_3
| ~ spl8_71
| ~ spl8_74
| ~ spl8_80 ),
inference(avatar_split_clause,[],[f1744,f670,f615,f596,f264]) ).
fof(f1744,plain,
( e0 = e3
| ~ spl8_71
| ~ spl8_74
| ~ spl8_80 ),
inference(forward_demodulation,[],[f1669,f1700]) ).
fof(f1715,plain,
( spl8_5
| ~ spl8_82
| ~ spl8_101 ),
inference(avatar_split_clause,[],[f1568,f929,f707,f274]) ).
fof(f1568,plain,
( e1 = e3
| ~ spl8_82
| ~ spl8_101 ),
inference(superposition,[],[f708,f931]) ).
fof(f1706,plain,
( spl8_113
| spl8_4
| spl8_105
| ~ spl8_74
| ~ spl8_82
| ~ spl8_101 ),
inference(avatar_split_clause,[],[f1628,f929,f707,f615,f1311,f269,f1482]) ).
fof(f1628,plain,
( e2 = op(e2,e1)
| e1 = e2
| e2 = op(e2,e0)
| ~ spl8_74
| ~ spl8_82
| ~ spl8_101 ),
inference(duplicate_literal_removal,[],[f1627]) ).
fof(f1627,plain,
( e2 = op(e2,e1)
| e1 = e2
| e2 = op(e2,e1)
| e2 = op(e2,e0)
| ~ spl8_74
| ~ spl8_82
| ~ spl8_101 ),
inference(forward_demodulation,[],[f1299,f1568]) ).
fof(f1299,plain,
( e1 = e2
| e2 = op(e2,e3)
| e2 = op(e2,e1)
| e2 = op(e2,e0)
| ~ spl8_74 ),
inference(forward_demodulation,[],[f145,f617]) ).
fof(f1674,plain,
( spl8_105
| spl8_4
| spl8_2
| ~ spl8_72
| ~ spl8_82
| ~ spl8_90
| ~ spl8_101 ),
inference(avatar_split_clause,[],[f1624,f929,f762,f707,f600,f259,f269,f1311]) ).
fof(f1624,plain,
( e0 = e2
| e1 = e2
| e2 = op(e2,e1)
| ~ spl8_72
| ~ spl8_82
| ~ spl8_90
| ~ spl8_101 ),
inference(duplicate_literal_removal,[],[f1623]) ).
fof(f1623,plain,
( e0 = e2
| e1 = e2
| e2 = op(e2,e1)
| e0 = e2
| ~ spl8_72
| ~ spl8_82
| ~ spl8_90
| ~ spl8_101 ),
inference(forward_demodulation,[],[f1622,f763]) ).
fof(f1622,plain,
( e2 = op(e0,e1)
| e1 = e2
| e2 = op(e2,e1)
| e0 = e2
| ~ spl8_72
| ~ spl8_82
| ~ spl8_101 ),
inference(forward_demodulation,[],[f1621,f1568]) ).
fof(f1621,plain,
( e1 = e2
| e2 = op(e2,e1)
| e0 = e2
| e2 = op(e0,e3)
| ~ spl8_72
| ~ spl8_82
| ~ spl8_101 ),
inference(forward_demodulation,[],[f1620,f1568]) ).
fof(f1620,plain,
( e2 = e3
| e2 = op(e2,e1)
| e0 = e2
| e2 = op(e0,e3)
| ~ spl8_72
| ~ spl8_82
| ~ spl8_101 ),
inference(forward_demodulation,[],[f1619,f931]) ).
fof(f1619,plain,
( e2 = op(e2,e1)
| e0 = e2
| e2 = op(e1,e3)
| e2 = op(e0,e3)
| ~ spl8_72
| ~ spl8_82
| ~ spl8_101 ),
inference(forward_demodulation,[],[f1583,f1568]) ).
fof(f1647,plain,
( spl8_1
| ~ spl8_82
| ~ spl8_85
| ~ spl8_90
| ~ spl8_101 ),
inference(avatar_split_clause,[],[f1646,f929,f762,f723,f707,f254]) ).
fof(f1646,plain,
( e0 = e1
| ~ spl8_82
| ~ spl8_85
| ~ spl8_90
| ~ spl8_101 ),
inference(forward_demodulation,[],[f1645,f763]) ).
fof(f1645,plain,
( e1 = op(e0,e1)
| ~ spl8_82
| ~ spl8_85
| ~ spl8_101 ),
inference(forward_demodulation,[],[f724,f1568]) ).
fof(f1610,plain,
( spl8_2
| ~ spl8_82
| ~ spl8_90
| ~ spl8_98
| ~ spl8_101 ),
inference(avatar_split_clause,[],[f1607,f929,f813,f762,f707,f259]) ).
fof(f1607,plain,
( e0 = e2
| ~ spl8_82
| ~ spl8_90
| ~ spl8_98
| ~ spl8_101 ),
inference(forward_demodulation,[],[f1606,f763]) ).
fof(f1606,plain,
( e2 = op(e0,e1)
| ~ spl8_82
| ~ spl8_98
| ~ spl8_101 ),
inference(forward_demodulation,[],[f815,f1568]) ).
fof(f1590,plain,
( spl8_2
| spl8_4
| ~ spl8_72
| ~ spl8_82
| ~ spl8_85
| ~ spl8_87 ),
inference(avatar_split_clause,[],[f1588,f733,f723,f707,f600,f269,f259]) ).
fof(f1588,plain,
( e1 = e2
| e0 = e2
| ~ spl8_72
| ~ spl8_82
| ~ spl8_85
| ~ spl8_87 ),
inference(duplicate_literal_removal,[],[f1587]) ).
fof(f1587,plain,
( e1 = e2
| e1 = e2
| e0 = e2
| ~ spl8_72
| ~ spl8_82
| ~ spl8_85
| ~ spl8_87 ),
inference(forward_demodulation,[],[f1586,f724]) ).
fof(f1586,plain,
( e1 = e2
| e0 = e2
| e2 = op(e0,e3)
| ~ spl8_72
| ~ spl8_82
| ~ spl8_87 ),
inference(forward_demodulation,[],[f1585,f708]) ).
fof(f1585,plain,
( e0 = e2
| e2 = op(e1,e3)
| e2 = op(e0,e3)
| ~ spl8_72
| ~ spl8_87 ),
inference(duplicate_literal_removal,[],[f1584]) ).
fof(f1584,plain,
( e0 = e2
| e0 = e2
| e2 = op(e1,e3)
| e2 = op(e0,e3)
| ~ spl8_72
| ~ spl8_87 ),
inference(forward_demodulation,[],[f1583,f734]) ).
fof(f1576,plain,
( spl8_2
| ~ spl8_87
| ~ spl8_109 ),
inference(avatar_split_clause,[],[f1559,f1368,f733,f259]) ).
fof(f1559,plain,
( e0 = e2
| ~ spl8_87
| ~ spl8_109 ),
inference(superposition,[],[f734,f1370]) ).
fof(f1567,plain,
( spl8_103
| spl8_82
| spl8_4
| spl8_1
| ~ spl8_12
| ~ spl8_78 ),
inference(avatar_split_clause,[],[f1168,f660,f306,f254,f269,f707,f1201]) ).
fof(f1168,plain,
( e0 = e1
| e1 = e2
| e1 = op(e1,e3)
| e1 = op(e1,e2)
| ~ spl8_12
| ~ spl8_78 ),
inference(forward_demodulation,[],[f1167,f661]) ).
fof(f1167,plain,
( e1 = e2
| e1 = op(e1,e3)
| e1 = op(e1,e2)
| e1 = op(e1,e0)
| ~ spl8_12 ),
inference(forward_demodulation,[],[f135,f308]) ).
fof(f1552,plain,
( spl8_1
| ~ spl8_90
| ~ spl8_99 ),
inference(avatar_split_clause,[],[f1550,f851,f762,f254]) ).
fof(f1550,plain,
( e0 = e1
| ~ spl8_90
| ~ spl8_99 ),
inference(forward_demodulation,[],[f853,f763]) ).
fof(f1539,plain,
( spl8_92
| ~ spl8_85
| ~ spl8_87
| ~ spl8_98 ),
inference(avatar_split_clause,[],[f1538,f813,f733,f723,f771]) ).
fof(f1538,plain,
( e0 = op(e1,e3)
| ~ spl8_85
| ~ spl8_87
| ~ spl8_98 ),
inference(forward_demodulation,[],[f734,f1517]) ).
fof(f1535,plain,
( spl8_87
| spl8_1
| spl8_3
| spl8_2
| ~ spl8_74
| ~ spl8_111
| ~ spl8_113 ),
inference(avatar_split_clause,[],[f1515,f1482,f1386,f615,f259,f264,f254,f733]) ).
fof(f1515,plain,
( e0 = e2
| e0 = e3
| e0 = e1
| e0 = op(e2,e3)
| ~ spl8_74
| ~ spl8_111
| ~ spl8_113 ),
inference(forward_demodulation,[],[f1440,f1484]) ).
fof(f1513,plain,
( spl8_3
| ~ spl8_92
| ~ spl8_101 ),
inference(avatar_split_clause,[],[f1468,f929,f771,f264]) ).
fof(f1468,plain,
( e0 = e3
| ~ spl8_92
| ~ spl8_101 ),
inference(superposition,[],[f773,f931]) ).
fof(f1500,plain,
( spl8_97
| ~ spl8_92
| ~ spl8_101
| ~ spl8_114 ),
inference(avatar_split_clause,[],[f1494,f1490,f929,f771,f809]) ).
fof(f1494,plain,
( e2 = op(e0,e2)
| ~ spl8_92
| ~ spl8_101
| ~ spl8_114 ),
inference(forward_demodulation,[],[f1492,f1468]) ).
fof(f1496,plain,
( spl8_2
| ~ spl8_92
| ~ spl8_101
| ~ spl8_112
| ~ spl8_114 ),
inference(avatar_split_clause,[],[f1495,f1490,f1413,f929,f771,f259]) ).
fof(f1495,plain,
( e0 = e2
| ~ spl8_92
| ~ spl8_101
| ~ spl8_112
| ~ spl8_114 ),
inference(forward_demodulation,[],[f1494,f1415]) ).
fof(f1493,plain,
( spl8_102
| spl8_114
| spl8_4
| spl8_2
| ~ spl8_74
| ~ spl8_112 ),
inference(avatar_split_clause,[],[f1464,f1413,f615,f259,f269,f1490,f1058]) ).
fof(f1464,plain,
( e0 = e2
| e1 = e2
| e2 = op(e3,e2)
| e2 = op(e1,e2)
| ~ spl8_74
| ~ spl8_112 ),
inference(forward_demodulation,[],[f1301,f1415]) ).
fof(f1485,plain,
( spl8_113
| spl8_4
| spl8_6
| ~ spl8_10
| ~ spl8_73
| ~ spl8_89 ),
inference(avatar_split_clause,[],[f1444,f744,f610,f297,f279,f269,f1482]) ).
fof(f1444,plain,
( e2 = e3
| e1 = e2
| e2 = op(e2,e0)
| ~ spl8_10
| ~ spl8_73
| ~ spl8_89 ),
inference(forward_demodulation,[],[f1443,f299]) ).
fof(f1443,plain,
( e1 = e2
| e2 = op(e2,e0)
| op(e0,e0) = e2
| ~ spl8_73
| ~ spl8_89 ),
inference(duplicate_literal_removal,[],[f1442]) ).
fof(f1442,plain,
( e1 = e2
| e1 = e2
| e2 = op(e2,e0)
| op(e0,e0) = e2
| ~ spl8_73
| ~ spl8_89 ),
inference(forward_demodulation,[],[f1441,f611]) ).
fof(f1441,plain,
( e1 = e2
| e2 = op(e2,e0)
| e2 = op(e1,e0)
| op(e0,e0) = e2
| ~ spl8_89 ),
inference(forward_demodulation,[],[f130,f745]) ).
fof(f1463,plain,
( spl8_3
| ~ spl8_90
| ~ spl8_110 ),
inference(avatar_split_clause,[],[f1462,f1382,f762,f264]) ).
fof(f1462,plain,
( e0 = e3
| ~ spl8_90
| ~ spl8_110 ),
inference(forward_demodulation,[],[f1384,f763]) ).
fof(f1459,plain,
( ~ spl8_74
| ~ spl8_91
| ~ spl8_111 ),
inference(avatar_split_clause,[],[f1448,f1386,f767,f615]) ).
fof(f1448,plain,
( e1 != op(e2,e2)
| ~ spl8_91
| ~ spl8_111 ),
inference(trivial_inequality_removal,[],[f1447]) ).
fof(f1447,plain,
( e3 != e3
| e1 != op(e2,e2)
| ~ spl8_91
| ~ spl8_111 ),
inference(forward_demodulation,[],[f1429,f1388]) ).
fof(f1429,plain,
( e1 != op(e2,e2)
| e3 != op(e2,e1)
| ~ spl8_91 ),
inference(trivial_inequality_removal,[],[f879]) ).
fof(f879,plain,
( e0 != e0
| e1 != op(e2,e2)
| e3 != op(e2,e1)
| ~ spl8_91 ),
inference(forward_demodulation,[],[f246,f769]) ).
fof(f246,plain,
( e1 != op(e2,e2)
| e0 != op(e1,e2)
| e3 != op(e2,e1) ),
inference(inner_rewriting,[],[f222]) ).
fof(f222,plain,
( e1 != op(e2,e2)
| e0 != op(op(e2,e2),e2)
| e3 != op(e2,op(e2,e2)) ),
inference(cnf_transformation,[],[f47]) ).
fof(f47,plain,
( e1 != op(e2,e2)
| e0 != op(op(e2,e2),e2)
| e3 != op(e2,op(e2,e2)) ),
inference(ennf_transformation,[],[f24]) ).
fof(f24,axiom,
~ ( e1 = op(e2,e2)
& e0 = op(op(e2,e2),e2)
& e3 = op(e2,op(e2,e2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax24) ).
fof(f1438,plain,
( spl8_20
| ~ spl8_73
| ~ spl8_91
| ~ spl8_107 ),
inference(avatar_split_clause,[],[f1437,f1356,f767,f610,f342]) ).
fof(f1437,plain,
( e0 = op(e1,e1)
| ~ spl8_73
| ~ spl8_91
| ~ spl8_107 ),
inference(forward_demodulation,[],[f769,f1421]) ).
fof(f1428,plain,
( spl8_78
| spl8_91
| spl8_92
| spl8_2
| ~ spl8_12 ),
inference(avatar_split_clause,[],[f1330,f306,f259,f771,f767,f660]) ).
fof(f1330,plain,
( e0 = e2
| e0 = op(e1,e3)
| e0 = op(e1,e2)
| e0 = op(e1,e0)
| ~ spl8_12 ),
inference(forward_demodulation,[],[f133,f308]) ).
fof(f133,plain,
( e0 = op(e1,e3)
| e0 = op(e1,e2)
| e0 = op(e1,e1)
| e0 = op(e1,e0) ),
inference(cnf_transformation,[],[f2]) ).
fof(f1424,plain,
( spl8_90
| spl8_93
| spl8_94
| spl8_2
| ~ spl8_12 ),
inference(avatar_split_clause,[],[f1243,f306,f259,f791,f787,f762]) ).
fof(f1243,plain,
( e0 = e2
| e0 = op(e3,e1)
| e0 = op(e2,e1)
| e0 = op(e0,e1)
| ~ spl8_12 ),
inference(forward_demodulation,[],[f134,f308]) ).
fof(f134,plain,
( e0 = op(e3,e1)
| e0 = op(e2,e1)
| e0 = op(e1,e1)
| e0 = op(e0,e1) ),
inference(cnf_transformation,[],[f2]) ).
fof(f1420,plain,
( spl8_73
| spl8_103
| spl8_82
| spl8_4
| ~ spl8_12 ),
inference(avatar_split_clause,[],[f1167,f306,f269,f707,f1201,f610]) ).
fof(f1416,plain,
( spl8_90
| spl8_112
| spl8_108
| spl8_3
| ~ spl8_10 ),
inference(avatar_split_clause,[],[f1160,f297,f264,f1363,f1413,f762]) ).
fof(f1160,plain,
( e0 = e3
| e0 = op(e0,e3)
| e0 = op(e0,e2)
| e0 = op(e0,e1)
| ~ spl8_10 ),
inference(forward_demodulation,[],[f125,f299]) ).
fof(f1401,plain,
( spl8_73
| spl8_89
| spl8_1
| spl8_5
| ~ spl8_10
| ~ spl8_95 ),
inference(avatar_split_clause,[],[f1360,f798,f297,f274,f254,f744,f610]) ).
fof(f1360,plain,
( e1 = e3
| e0 = e1
| e1 = op(e3,e0)
| e1 = op(e1,e0)
| ~ spl8_10
| ~ spl8_95 ),
inference(forward_demodulation,[],[f831,f299]) ).
fof(f831,plain,
( e0 = e1
| e1 = op(e3,e0)
| e1 = op(e1,e0)
| op(e0,e0) = e1
| ~ spl8_95 ),
inference(forward_demodulation,[],[f128,f800]) ).
fof(f1396,plain,
( spl8_99
| spl8_85
| spl8_4
| spl8_5
| ~ spl8_10
| ~ spl8_97 ),
inference(avatar_split_clause,[],[f1352,f809,f297,f274,f269,f723,f851]) ).
fof(f1352,plain,
( e1 = e3
| e1 = e2
| e1 = op(e0,e3)
| e1 = op(e0,e1)
| ~ spl8_10
| ~ spl8_97 ),
inference(forward_demodulation,[],[f829,f299]) ).
fof(f829,plain,
( e1 = e2
| e1 = op(e0,e3)
| e1 = op(e0,e1)
| op(e0,e0) = e1
| ~ spl8_97 ),
inference(forward_demodulation,[],[f127,f811]) ).
fof(f1389,plain,
( spl8_110
| spl8_111
| spl8_6
| spl8_5
| ~ spl8_12
| ~ spl8_104 ),
inference(avatar_split_clause,[],[f1350,f1207,f306,f274,f279,f1386,f1382]) ).
fof(f1350,plain,
( e1 = e3
| e2 = e3
| e3 = op(e2,e1)
| e3 = op(e0,e1)
| ~ spl8_12
| ~ spl8_104 ),
inference(forward_demodulation,[],[f1246,f1209]) ).
fof(f1371,plain,
( spl8_105
| spl8_109
| spl8_4
| spl8_2
| ~ spl8_74
| ~ spl8_95 ),
inference(avatar_split_clause,[],[f1300,f798,f615,f259,f269,f1368,f1311]) ).
fof(f1300,plain,
( e0 = e2
| e1 = e2
| e2 = op(e2,e3)
| e2 = op(e2,e1)
| ~ spl8_74
| ~ spl8_95 ),
inference(forward_demodulation,[],[f1299,f800]) ).
fof(f1366,plain,
( ~ spl8_108
| spl8_43
| ~ spl8_72 ),
inference(avatar_split_clause,[],[f753,f600,f456,f1363]) ).
fof(f753,plain,
( e0 != op(e0,e3)
| spl8_43
| ~ spl8_72 ),
inference(superposition,[],[f458,f602]) ).
fof(f1359,plain,
( spl8_107
| spl8_2
| spl8_4
| spl8_6
| ~ spl8_10
| ~ spl8_89
| ~ spl8_95 ),
inference(avatar_split_clause,[],[f1329,f798,f744,f297,f279,f269,f259,f1356]) ).
fof(f1329,plain,
( e2 = e3
| e1 = e2
| e0 = e2
| e2 = op(e1,e0)
| ~ spl8_10
| ~ spl8_89
| ~ spl8_95 ),
inference(forward_demodulation,[],[f1328,f299]) ).
fof(f1349,plain,
( spl8_3
| spl8_6
| spl8_5
| ~ spl8_12
| ~ spl8_93
| ~ spl8_96
| ~ spl8_104 ),
inference(avatar_split_clause,[],[f1335,f1207,f805,f787,f306,f274,f279,f264]) ).
fof(f1335,plain,
( e1 = e3
| e2 = e3
| e0 = e3
| ~ spl8_12
| ~ spl8_93
| ~ spl8_96
| ~ spl8_104 ),
inference(forward_demodulation,[],[f1171,f1209]) ).
fof(f1171,plain,
( e2 = e3
| e0 = e3
| e3 = op(e3,e1)
| ~ spl8_12
| ~ spl8_93
| ~ spl8_96 ),
inference(duplicate_literal_removal,[],[f1170]) ).
fof(f1170,plain,
( e2 = e3
| e2 = e3
| e0 = e3
| e3 = op(e3,e1)
| ~ spl8_12
| ~ spl8_93
| ~ spl8_96 ),
inference(forward_demodulation,[],[f1169,f807]) ).
fof(f1169,plain,
( e2 = e3
| e0 = e3
| e3 = op(e3,e1)
| e3 = op(e0,e1)
| ~ spl8_12
| ~ spl8_93 ),
inference(forward_demodulation,[],[f872,f308]) ).
fof(f872,plain,
( e0 = e3
| e3 = op(e3,e1)
| e3 = op(e1,e1)
| e3 = op(e0,e1)
| ~ spl8_93 ),
inference(forward_demodulation,[],[f140,f789]) ).
fof(f1332,plain,
( spl8_93
| spl8_94
| spl8_2
| ~ spl8_12
| ~ spl8_96 ),
inference(avatar_split_clause,[],[f1245,f805,f306,f259,f791,f787]) ).
fof(f1245,plain,
( e0 = e2
| e0 = op(e3,e1)
| e0 = op(e2,e1)
| ~ spl8_12
| ~ spl8_96 ),
inference(duplicate_literal_removal,[],[f1244]) ).
fof(f1244,plain,
( e0 = e2
| e0 = e2
| e0 = op(e3,e1)
| e0 = op(e2,e1)
| ~ spl8_12
| ~ spl8_96 ),
inference(forward_demodulation,[],[f1243,f807]) ).
fof(f1327,plain,
( spl8_106
| spl8_2
| spl8_6
| ~ spl8_10
| ~ spl8_78
| ~ spl8_95 ),
inference(avatar_split_clause,[],[f1175,f798,f660,f297,f279,f259,f1324]) ).
fof(f1175,plain,
( e2 = e3
| e0 = e2
| e2 = op(e3,e0)
| ~ spl8_10
| ~ spl8_78
| ~ spl8_95 ),
inference(forward_demodulation,[],[f1174,f299]) ).
fof(f1174,plain,
( e0 = e2
| e2 = op(e3,e0)
| op(e0,e0) = e2
| ~ spl8_78
| ~ spl8_95 ),
inference(duplicate_literal_removal,[],[f1173]) ).
fof(f1173,plain,
( e0 = e2
| e0 = e2
| e2 = op(e3,e0)
| op(e0,e0) = e2
| ~ spl8_78
| ~ spl8_95 ),
inference(forward_demodulation,[],[f1172,f661]) ).
fof(f1315,plain,
( spl8_89
| spl8_1
| spl8_5
| ~ spl8_10
| ~ spl8_78
| ~ spl8_95 ),
inference(avatar_split_clause,[],[f1109,f798,f660,f297,f274,f254,f744]) ).
fof(f1109,plain,
( e1 = e3
| e0 = e1
| e1 = op(e3,e0)
| ~ spl8_10
| ~ spl8_78
| ~ spl8_95 ),
inference(forward_demodulation,[],[f1108,f299]) ).
fof(f1108,plain,
( e0 = e1
| e1 = op(e3,e0)
| op(e0,e0) = e1
| ~ spl8_78
| ~ spl8_95 ),
inference(duplicate_literal_removal,[],[f1107]) ).
fof(f1107,plain,
( e0 = e1
| e0 = e1
| e1 = op(e3,e0)
| op(e0,e0) = e1
| ~ spl8_78
| ~ spl8_95 ),
inference(forward_demodulation,[],[f831,f661]) ).
fof(f1314,plain,
( spl8_17
| spl8_15
| ~ spl8_105
| spl8_1
| ~ spl8_72 ),
inference(avatar_split_clause,[],[f1296,f600,f254,f1311,f320,f329]) ).
fof(f1296,plain,
( e0 = e1
| e2 != op(e2,e1)
| sP3
| sP2
| ~ spl8_72 ),
inference(forward_demodulation,[],[f194,f602]) ).
fof(f194,plain,
( e1 = op(e3,e3)
| e2 != op(e2,e1)
| sP3
| sP2 ),
inference(cnf_transformation,[],[f62]) ).
fof(f1295,plain,
( spl8_16
| ~ spl8_74
| ~ spl8_76 ),
inference(avatar_split_clause,[],[f1054,f631,f615,f324]) ).
fof(f324,plain,
( spl8_16
<=> e1 = op(e1,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_16])]) ).
fof(f1054,plain,
( e1 = op(e1,e1)
| ~ spl8_74
| ~ spl8_76 ),
inference(forward_demodulation,[],[f617,f906]) ).
fof(f906,plain,
( e1 = e2
| ~ spl8_74
| ~ spl8_76 ),
inference(superposition,[],[f617,f633]) ).
fof(f633,plain,
( e2 = op(e2,e2)
| ~ spl8_76 ),
inference(avatar_component_clause,[],[f631]) ).
fof(f1233,plain,
( spl8_5
| ~ spl8_10
| ~ spl8_18 ),
inference(avatar_split_clause,[],[f1189,f333,f297,f274]) ).
fof(f1189,plain,
( e1 = e3
| ~ spl8_10
| ~ spl8_18 ),
inference(superposition,[],[f335,f299]) ).
fof(f1212,plain,
( spl8_16
| ~ spl8_10
| ~ spl8_18
| ~ spl8_104 ),
inference(avatar_split_clause,[],[f1211,f1207,f333,f297,f324]) ).
fof(f1211,plain,
( e1 = op(e1,e1)
| ~ spl8_10
| ~ spl8_18
| ~ spl8_104 ),
inference(forward_demodulation,[],[f1209,f1189]) ).
fof(f1210,plain,
( spl8_104
| spl8_1
| spl8_4
| ~ spl8_12
| ~ spl8_93
| ~ spl8_96 ),
inference(avatar_split_clause,[],[f1166,f805,f787,f306,f269,f254,f1207]) ).
fof(f1166,plain,
( e1 = e2
| e0 = e1
| e1 = op(e3,e1)
| ~ spl8_12
| ~ spl8_93
| ~ spl8_96 ),
inference(duplicate_literal_removal,[],[f1165]) ).
fof(f1165,plain,
( e1 = e2
| e1 = e2
| e0 = e1
| e1 = op(e3,e1)
| ~ spl8_12
| ~ spl8_93
| ~ spl8_96 ),
inference(forward_demodulation,[],[f1164,f807]) ).
fof(f1164,plain,
( e1 = e2
| e0 = e1
| e1 = op(e3,e1)
| e1 = op(e0,e1)
| ~ spl8_12
| ~ spl8_93 ),
inference(forward_demodulation,[],[f1163,f308]) ).
fof(f1204,plain,
( ~ spl8_11
| ~ spl8_103 ),
inference(avatar_split_clause,[],[f178,f1201,f302]) ).
fof(f178,plain,
( e1 != op(e1,e2)
| ~ sP5 ),
inference(cnf_transformation,[],[f65]) ).
fof(f65,plain,
( ( e1 != op(e1,e2)
& e2 = op(e1,e1) )
| ~ sP5 ),
inference(nnf_transformation,[],[f59]) ).
fof(f1159,plain,
( spl8_16
| ~ spl8_74
| ~ spl8_76
| ~ spl8_102 ),
inference(avatar_split_clause,[],[f1062,f1058,f631,f615,f324]) ).
fof(f1062,plain,
( e1 = op(e1,e1)
| ~ spl8_74
| ~ spl8_76
| ~ spl8_102 ),
inference(forward_demodulation,[],[f1060,f906]) ).
fof(f1134,plain,
( spl8_2
| ~ spl8_90
| ~ spl8_96 ),
inference(avatar_split_clause,[],[f1131,f805,f762,f259]) ).
fof(f1131,plain,
( e0 = e2
| ~ spl8_90
| ~ spl8_96 ),
inference(forward_demodulation,[],[f807,f763]) ).
fof(f1063,plain,
( spl8_6
| ~ spl8_10
| ~ spl8_14 ),
inference(avatar_split_clause,[],[f897,f315,f297,f279]) ).
fof(f897,plain,
( e2 = e3
| ~ spl8_10
| ~ spl8_14 ),
inference(superposition,[],[f317,f299]) ).
fof(f1061,plain,
( spl8_102
| ~ spl8_10
| ~ spl8_14
| ~ spl8_101 ),
inference(avatar_split_clause,[],[f946,f929,f315,f297,f1058]) ).
fof(f946,plain,
( e2 = op(e1,e2)
| ~ spl8_10
| ~ spl8_14
| ~ spl8_101 ),
inference(forward_demodulation,[],[f931,f897]) ).
fof(f1039,plain,
( spl8_1
| ~ spl8_72
| ~ spl8_75 ),
inference(avatar_split_clause,[],[f1037,f619,f600,f254]) ).
fof(f1037,plain,
( e0 = e1
| ~ spl8_72
| ~ spl8_75 ),
inference(forward_demodulation,[],[f621,f602]) ).
fof(f1005,plain,
( spl8_90
| spl8_1
| ~ spl8_10
| ~ spl8_14
| ~ spl8_74
| ~ spl8_76 ),
inference(avatar_split_clause,[],[f984,f631,f615,f315,f297,f254,f762]) ).
fof(f984,plain,
( e0 = e1
| e0 = op(e0,e1)
| ~ spl8_10
| ~ spl8_14
| ~ spl8_74
| ~ spl8_76 ),
inference(forward_demodulation,[],[f983,f906]) ).
fof(f983,plain,
( e0 = e2
| e0 = op(e0,e1)
| ~ spl8_10
| ~ spl8_14
| ~ spl8_74
| ~ spl8_76 ),
inference(forward_demodulation,[],[f982,f897]) ).
fof(f982,plain,
( e0 = e3
| e0 = op(e0,e1)
| ~ spl8_10
| ~ spl8_14
| ~ spl8_74
| ~ spl8_76 ),
inference(forward_demodulation,[],[f981,f299]) ).
fof(f981,plain,
( e0 = op(e0,e1)
| e0 = op(e0,e0)
| ~ spl8_10
| ~ spl8_14
| ~ spl8_74
| ~ spl8_76 ),
inference(duplicate_literal_removal,[],[f980]) ).
fof(f980,plain,
( e0 = op(e0,e1)
| e0 = op(e0,e1)
| e0 = op(e0,e0)
| ~ spl8_10
| ~ spl8_14
| ~ spl8_74
| ~ spl8_76 ),
inference(forward_demodulation,[],[f979,f906]) ).
fof(f979,plain,
( e0 = op(e0,e2)
| e0 = op(e0,e1)
| e0 = op(e0,e0)
| ~ spl8_10
| ~ spl8_14 ),
inference(duplicate_literal_removal,[],[f978]) ).
fof(f978,plain,
( e0 = op(e0,e2)
| e0 = op(e0,e2)
| e0 = op(e0,e1)
| e0 = op(e0,e0)
| ~ spl8_10
| ~ spl8_14 ),
inference(forward_demodulation,[],[f125,f897]) ).
fof(f1002,plain,
( spl8_20
| spl8_1
| ~ spl8_10
| ~ spl8_14
| ~ spl8_73
| ~ spl8_74
| ~ spl8_76 ),
inference(avatar_split_clause,[],[f968,f631,f615,f610,f315,f297,f254,f342]) ).
fof(f968,plain,
( e0 = e1
| e0 = op(e1,e1)
| ~ spl8_10
| ~ spl8_14
| ~ spl8_73
| ~ spl8_74
| ~ spl8_76 ),
inference(forward_demodulation,[],[f967,f611]) ).
fof(f967,plain,
( e0 = op(e1,e1)
| e0 = op(e1,e0)
| ~ spl8_10
| ~ spl8_14
| ~ spl8_74
| ~ spl8_76 ),
inference(duplicate_literal_removal,[],[f966]) ).
fof(f966,plain,
( e0 = op(e1,e1)
| e0 = op(e1,e1)
| e0 = op(e1,e0)
| ~ spl8_10
| ~ spl8_14
| ~ spl8_74
| ~ spl8_76 ),
inference(forward_demodulation,[],[f965,f906]) ).
fof(f965,plain,
( e0 = op(e1,e2)
| e0 = op(e1,e1)
| e0 = op(e1,e0)
| ~ spl8_10
| ~ spl8_14 ),
inference(duplicate_literal_removal,[],[f964]) ).
fof(f964,plain,
( e0 = op(e1,e2)
| e0 = op(e1,e2)
| e0 = op(e1,e1)
| e0 = op(e1,e0)
| ~ spl8_10
| ~ spl8_14 ),
inference(forward_demodulation,[],[f133,f897]) ).
fof(f977,plain,
( spl8_1
| spl8_90
| ~ spl8_10
| ~ spl8_14
| ~ spl8_74
| ~ spl8_76
| ~ spl8_96 ),
inference(avatar_split_clause,[],[f956,f805,f631,f615,f315,f297,f762,f254]) ).
fof(f956,plain,
( e0 = op(e0,e1)
| e0 = e1
| ~ spl8_10
| ~ spl8_14
| ~ spl8_74
| ~ spl8_76
| ~ spl8_96 ),
inference(forward_demodulation,[],[f955,f906]) ).
fof(f955,plain,
( e0 = op(e0,e2)
| e0 = e1
| ~ spl8_10
| ~ spl8_14
| ~ spl8_74
| ~ spl8_76
| ~ spl8_96 ),
inference(duplicate_literal_removal,[],[f954]) ).
fof(f954,plain,
( e0 = op(e0,e2)
| e0 = e1
| e0 = op(e0,e2)
| ~ spl8_10
| ~ spl8_14
| ~ spl8_74
| ~ spl8_76
| ~ spl8_96 ),
inference(forward_demodulation,[],[f953,f897]) ).
fof(f953,plain,
( e0 = e1
| e0 = op(e0,e3)
| e0 = op(e0,e2)
| ~ spl8_10
| ~ spl8_14
| ~ spl8_74
| ~ spl8_76
| ~ spl8_96 ),
inference(forward_demodulation,[],[f952,f906]) ).
fof(f952,plain,
( e0 = e2
| e0 = op(e0,e3)
| e0 = op(e0,e2)
| ~ spl8_10
| ~ spl8_14
| ~ spl8_96 ),
inference(duplicate_literal_removal,[],[f951]) ).
fof(f951,plain,
( e0 = e2
| e0 = e2
| e0 = op(e0,e3)
| e0 = op(e0,e2)
| ~ spl8_10
| ~ spl8_14
| ~ spl8_96 ),
inference(forward_demodulation,[],[f893,f897]) ).
fof(f893,plain,
( e0 = e3
| e0 = e2
| e0 = op(e0,e3)
| e0 = op(e0,e2)
| ~ spl8_10
| ~ spl8_96 ),
inference(forward_demodulation,[],[f892,f299]) ).
fof(f950,plain,
( spl8_2
| ~ spl8_10
| ~ spl8_14
| ~ spl8_91
| ~ spl8_101 ),
inference(avatar_split_clause,[],[f947,f929,f767,f315,f297,f259]) ).
fof(f947,plain,
( e0 = e2
| ~ spl8_10
| ~ spl8_14
| ~ spl8_91
| ~ spl8_101 ),
inference(forward_demodulation,[],[f946,f769]) ).
fof(f944,plain,
( spl8_78
| spl8_73
| ~ spl8_10
| ~ spl8_14
| ~ spl8_74
| ~ spl8_76 ),
inference(avatar_split_clause,[],[f942,f631,f615,f315,f297,f610,f660]) ).
fof(f942,plain,
( e1 = op(e1,e0)
| e0 = op(e1,e0)
| ~ spl8_10
| ~ spl8_14
| ~ spl8_74
| ~ spl8_76 ),
inference(duplicate_literal_removal,[],[f941]) ).
fof(f941,plain,
( e1 = op(e1,e0)
| e1 = op(e1,e0)
| e0 = op(e1,e0)
| ~ spl8_10
| ~ spl8_14
| ~ spl8_74
| ~ spl8_76 ),
inference(forward_demodulation,[],[f940,f906]) ).
fof(f940,plain,
( e2 = op(e1,e0)
| e1 = op(e1,e0)
| e0 = op(e1,e0)
| ~ spl8_10
| ~ spl8_14 ),
inference(duplicate_literal_removal,[],[f939]) ).
fof(f939,plain,
( e2 = op(e1,e0)
| e2 = op(e1,e0)
| e1 = op(e1,e0)
| e0 = op(e1,e0)
| ~ spl8_10
| ~ spl8_14 ),
inference(forward_demodulation,[],[f161,f897]) ).
fof(f161,plain,
( e3 = op(e1,e0)
| e2 = op(e1,e0)
| e1 = op(e1,e0)
| e0 = op(e1,e0) ),
inference(cnf_transformation,[],[f1]) ).
fof(f932,plain,
( spl8_101
| spl8_3
| spl8_5
| ~ spl8_16
| ~ spl8_73
| ~ spl8_91 ),
inference(avatar_split_clause,[],[f871,f767,f610,f324,f274,f264,f929]) ).
fof(f871,plain,
( e1 = e3
| e0 = e3
| e3 = op(e1,e3)
| ~ spl8_16
| ~ spl8_73
| ~ spl8_91 ),
inference(duplicate_literal_removal,[],[f870]) ).
fof(f870,plain,
( e1 = e3
| e1 = e3
| e0 = e3
| e3 = op(e1,e3)
| ~ spl8_16
| ~ spl8_73
| ~ spl8_91 ),
inference(forward_demodulation,[],[f869,f611]) ).
fof(f869,plain,
( e1 = e3
| e0 = e3
| e3 = op(e1,e3)
| e3 = op(e1,e0)
| ~ spl8_16
| ~ spl8_91 ),
inference(forward_demodulation,[],[f868,f326]) ).
fof(f326,plain,
( e1 = op(e1,e1)
| ~ spl8_16 ),
inference(avatar_component_clause,[],[f324]) ).
fof(f926,plain,
( spl8_21
| spl8_19
| ~ spl8_100
| spl8_2
| ~ spl8_76 ),
inference(avatar_split_clause,[],[f687,f631,f259,f923,f338,f347]) ).
fof(f687,plain,
( e0 = e2
| e3 != op(e3,e0)
| sP1
| sP0
| ~ spl8_76 ),
inference(forward_demodulation,[],[f191,f633]) ).
fof(f895,plain,
( spl8_4
| ~ spl8_12
| ~ spl8_16 ),
inference(avatar_split_clause,[],[f894,f324,f306,f269]) ).
fof(f894,plain,
( e1 = e2
| ~ spl8_12
| ~ spl8_16 ),
inference(forward_demodulation,[],[f308,f326]) ).
fof(f883,plain,
( spl8_3
| ~ spl8_10
| ~ spl8_22 ),
inference(avatar_split_clause,[],[f875,f351,f297,f264]) ).
fof(f875,plain,
( e0 = e3
| ~ spl8_10
| ~ spl8_22 ),
inference(forward_demodulation,[],[f299,f353]) ).
fof(f877,plain,
( ~ spl8_15
| ~ spl8_16 ),
inference(avatar_split_clause,[],[f865,f324,f320]) ).
fof(f865,plain,
( ~ sP3
| ~ spl8_16 ),
inference(trivial_inequality_removal,[],[f864]) ).
fof(f864,plain,
( e1 != e1
| ~ sP3
| ~ spl8_16 ),
inference(forward_demodulation,[],[f182,f326]) ).
fof(f182,plain,
( e1 != op(e1,e1)
| ~ sP3 ),
inference(cnf_transformation,[],[f67]) ).
fof(f67,plain,
( ( e1 != op(e1,e1)
& e1 = op(e1,e1) )
| ~ sP3 ),
inference(nnf_transformation,[],[f57]) ).
fof(f860,plain,
( spl8_5
| ~ spl8_8
| ~ spl8_16 ),
inference(avatar_split_clause,[],[f835,f324,f288,f274]) ).
fof(f835,plain,
( e1 = e3
| ~ spl8_8
| ~ spl8_16 ),
inference(superposition,[],[f326,f290]) ).
fof(f854,plain,
( spl8_99
| spl8_85
| spl8_4
| spl8_1
| ~ spl8_22
| ~ spl8_97 ),
inference(avatar_split_clause,[],[f830,f809,f351,f254,f269,f723,f851]) ).
fof(f830,plain,
( e0 = e1
| e1 = e2
| e1 = op(e0,e3)
| e1 = op(e0,e1)
| ~ spl8_22
| ~ spl8_97 ),
inference(forward_demodulation,[],[f829,f353]) ).
fof(f847,plain,
( spl8_73
| spl8_89
| spl8_1
| ~ spl8_22
| ~ spl8_95 ),
inference(avatar_split_clause,[],[f833,f798,f351,f254,f744,f610]) ).
fof(f833,plain,
( e0 = e1
| e1 = op(e3,e0)
| e1 = op(e1,e0)
| ~ spl8_22
| ~ spl8_95 ),
inference(duplicate_literal_removal,[],[f832]) ).
fof(f832,plain,
( e0 = e1
| e0 = e1
| e1 = op(e3,e0)
| e1 = op(e1,e0)
| ~ spl8_22
| ~ spl8_95 ),
inference(forward_demodulation,[],[f831,f353]) ).
fof(f823,plain,
( spl8_1
| ~ spl8_18
| ~ spl8_22 ),
inference(avatar_split_clause,[],[f779,f351,f333,f254]) ).
fof(f779,plain,
( e0 = e1
| ~ spl8_18
| ~ spl8_22 ),
inference(superposition,[],[f353,f335]) ).
fof(f820,plain,
( spl8_2
| ~ spl8_18
| ~ spl8_22
| ~ spl8_96 ),
inference(avatar_split_clause,[],[f819,f805,f351,f333,f259]) ).
fof(f819,plain,
( e0 = e2
| ~ spl8_18
| ~ spl8_22
| ~ spl8_96 ),
inference(forward_demodulation,[],[f818,f779]) ).
fof(f818,plain,
( e1 = e2
| ~ spl8_18
| ~ spl8_22
| ~ spl8_96 ),
inference(forward_demodulation,[],[f817,f335]) ).
fof(f817,plain,
( op(e0,e0) = e2
| ~ spl8_18
| ~ spl8_22
| ~ spl8_96 ),
inference(forward_demodulation,[],[f807,f779]) ).
fof(f816,plain,
( spl8_14
| spl8_96
| spl8_97
| spl8_98 ),
inference(avatar_split_clause,[],[f129,f813,f809,f805,f315]) ).
fof(f129,plain,
( e2 = op(e0,e3)
| e2 = op(e0,e2)
| e2 = op(e0,e1)
| op(e0,e0) = e2 ),
inference(cnf_transformation,[],[f2]) ).
fof(f801,plain,
( spl8_95
| ~ spl8_18
| ~ spl8_22
| ~ spl8_93 ),
inference(avatar_split_clause,[],[f796,f787,f351,f333,f798]) ).
fof(f796,plain,
( e0 = op(e2,e0)
| ~ spl8_18
| ~ spl8_22
| ~ spl8_93 ),
inference(forward_demodulation,[],[f789,f779]) ).
fof(f794,plain,
( spl8_90
| spl8_93
| spl8_94
| spl8_3
| ~ spl8_8 ),
inference(avatar_split_clause,[],[f689,f288,f264,f791,f787,f762]) ).
fof(f689,plain,
( e0 = e3
| e0 = op(e3,e1)
| e0 = op(e2,e1)
| e0 = op(e0,e1)
| ~ spl8_8 ),
inference(forward_demodulation,[],[f134,f290]) ).
fof(f776,plain,
( spl8_2
| ~ spl8_72
| ~ spl8_77 ),
inference(avatar_split_clause,[],[f752,f635,f600,f259]) ).
fof(f752,plain,
( e0 = e2
| ~ spl8_72
| ~ spl8_77 ),
inference(superposition,[],[f602,f637]) ).
fof(f774,plain,
( spl8_78
| spl8_91
| spl8_92
| spl8_3
| ~ spl8_8 ),
inference(avatar_split_clause,[],[f688,f288,f264,f771,f767,f660]) ).
fof(f688,plain,
( e0 = e3
| e0 = op(e1,e3)
| e0 = op(e1,e2)
| e0 = op(e1,e0)
| ~ spl8_8 ),
inference(forward_demodulation,[],[f133,f290]) ).
fof(f765,plain,
( ~ spl8_17
| ~ spl8_90 ),
inference(avatar_split_clause,[],[f184,f762,f329]) ).
fof(f184,plain,
( e0 != op(e0,e1)
| ~ sP2 ),
inference(cnf_transformation,[],[f68]) ).
fof(f68,plain,
( ( e0 != op(e0,e1)
& op(e0,e0) = e1 )
| ~ sP2 ),
inference(nnf_transformation,[],[f56]) ).
fof(f748,plain,
( spl8_2
| ~ spl8_71
| ~ spl8_76 ),
inference(avatar_split_clause,[],[f695,f631,f596,f259]) ).
fof(f695,plain,
( e0 = e2
| ~ spl8_71
| ~ spl8_76 ),
inference(superposition,[],[f598,f633]) ).
fof(f747,plain,
( ~ spl8_89
| ~ spl8_71
| ~ spl8_76
| spl8_88 ),
inference(avatar_split_clause,[],[f741,f737,f631,f596,f744]) ).
fof(f741,plain,
( e1 != op(e3,e0)
| ~ spl8_71
| ~ spl8_76
| spl8_88 ),
inference(forward_demodulation,[],[f739,f695]) ).
fof(f739,plain,
( e1 != op(e3,e2)
| spl8_88 ),
inference(avatar_component_clause,[],[f737]) ).
fof(f740,plain,
( ~ spl8_87
| ~ spl8_88
| ~ spl8_80 ),
inference(avatar_split_clause,[],[f230,f670,f737,f733]) ).
fof(f230,plain,
( e3 != op(e2,e2)
| e1 != op(e3,e2)
| e0 != op(e2,e3) ),
inference(inner_rewriting,[],[f206]) ).
fof(f206,plain,
( e3 != op(e2,e2)
| e1 != op(op(e2,e2),e2)
| e0 != op(e2,op(e2,e2)) ),
inference(cnf_transformation,[],[f31]) ).
fof(f31,plain,
( e3 != op(e2,e2)
| e1 != op(op(e2,e2),e2)
| e0 != op(e2,op(e2,e2)) ),
inference(ennf_transformation,[],[f7]) ).
fof(f7,axiom,
~ ( e3 = op(e2,e2)
& e1 = op(op(e2,e2),e2)
& e0 = op(e2,op(e2,e2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax7) ).
fof(f731,plain,
( ~ spl8_86
| ~ spl8_71
| ~ spl8_76
| spl8_83 ),
inference(avatar_split_clause,[],[f721,f712,f631,f596,f728]) ).
fof(f721,plain,
( e0 != op(e3,e0)
| ~ spl8_71
| ~ spl8_76
| spl8_83 ),
inference(forward_demodulation,[],[f714,f695]) ).
fof(f714,plain,
( e0 != op(e3,e2)
| spl8_83 ),
inference(avatar_component_clause,[],[f712]) ).
fof(f726,plain,
( ~ spl8_85
| ~ spl8_71
| ~ spl8_76
| spl8_84 ),
inference(avatar_split_clause,[],[f720,f716,f631,f596,f723]) ).
fof(f720,plain,
( e1 != op(e0,e3)
| ~ spl8_71
| ~ spl8_76
| spl8_84 ),
inference(forward_demodulation,[],[f718,f695]) ).
fof(f719,plain,
( ~ spl8_83
| ~ spl8_84
| ~ spl8_77 ),
inference(avatar_split_clause,[],[f229,f635,f716,f712]) ).
fof(f229,plain,
( e2 != op(e3,e3)
| e1 != op(e2,e3)
| e0 != op(e3,e2) ),
inference(inner_rewriting,[],[f205]) ).
fof(f205,plain,
( e2 != op(e3,e3)
| e1 != op(op(e3,e3),e3)
| e0 != op(e3,op(e3,e3)) ),
inference(cnf_transformation,[],[f30]) ).
fof(f30,plain,
( e2 != op(e3,e3)
| e1 != op(op(e3,e3),e3)
| e0 != op(e3,op(e3,e3)) ),
inference(ennf_transformation,[],[f6]) ).
fof(f6,axiom,
~ ( e2 = op(e3,e3)
& e1 = op(op(e3,e3),e3)
& e0 = op(e3,op(e3,e3)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax6) ).
fof(f710,plain,
( ~ spl8_7
| ~ spl8_82 ),
inference(avatar_split_clause,[],[f174,f707,f284]) ).
fof(f174,plain,
( e1 != op(e1,e3)
| ~ sP7 ),
inference(cnf_transformation,[],[f63]) ).
fof(f63,plain,
( ( e1 != op(e1,e3)
& e3 = op(e1,e1) )
| ~ sP7 ),
inference(nnf_transformation,[],[f61]) ).
fof(f686,plain,
( spl8_3
| ~ spl8_8
| ~ spl8_20 ),
inference(avatar_split_clause,[],[f685,f342,f288,f264]) ).
fof(f685,plain,
( e0 = e3
| ~ spl8_8
| ~ spl8_20 ),
inference(forward_demodulation,[],[f290,f344]) ).
fof(f683,plain,
( spl8_6
| ~ spl8_76
| ~ spl8_80 ),
inference(avatar_split_clause,[],[f682,f670,f631,f279]) ).
fof(f682,plain,
( e2 = e3
| ~ spl8_76
| ~ spl8_80 ),
inference(forward_demodulation,[],[f672,f633]) ).
fof(f680,plain,
( spl8_6
| ~ spl8_77
| ~ spl8_81 ),
inference(avatar_split_clause,[],[f678,f674,f635,f279]) ).
fof(f678,plain,
( e2 = e3
| ~ spl8_77
| ~ spl8_81 ),
inference(forward_demodulation,[],[f676,f637]) ).
fof(f677,plain,
( spl8_9
| spl8_7
| spl8_80
| spl8_81 ),
inference(avatar_split_clause,[],[f201,f674,f670,f284,f293]) ).
fof(f201,plain,
( e3 = op(e3,e3)
| e3 = op(e2,e2)
| sP7
| sP6 ),
inference(cnf_transformation,[],[f62]) ).
fof(f668,plain,
( spl8_13
| spl8_11
| ~ spl8_76
| ~ spl8_79 ),
inference(avatar_split_clause,[],[f200,f665,f631,f302,f311]) ).
fof(f200,plain,
( e3 != op(e3,e2)
| e2 != op(e2,e2)
| sP5
| sP4 ),
inference(cnf_transformation,[],[f62]) ).
fof(f663,plain,
( ~ spl8_78
| ~ spl8_20
| spl8_53 ),
inference(avatar_split_clause,[],[f604,f506,f342,f660]) ).
fof(f506,plain,
( spl8_53
<=> op(e1,e0) = op(e1,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_53])]) ).
fof(f604,plain,
( e0 != op(e1,e0)
| ~ spl8_20
| spl8_53 ),
inference(superposition,[],[f508,f344]) ).
fof(f508,plain,
( op(e1,e0) != op(e1,e1)
| spl8_53 ),
inference(avatar_component_clause,[],[f506]) ).
fof(f650,plain,
( spl8_13
| spl8_11
| ~ spl8_76
| spl8_77 ),
inference(avatar_split_clause,[],[f198,f635,f631,f302,f311]) ).
fof(f198,plain,
( e2 = op(e3,e3)
| e2 != op(e2,e2)
| sP5
| sP4 ),
inference(cnf_transformation,[],[f62]) ).
fof(f642,plain,
( spl8_4
| ~ spl8_14
| ~ spl8_18 ),
inference(avatar_split_clause,[],[f641,f333,f315,f269]) ).
fof(f641,plain,
( e1 = e2
| ~ spl8_14
| ~ spl8_18 ),
inference(forward_demodulation,[],[f317,f335]) ).
fof(f638,plain,
( spl8_13
| spl8_11
| spl8_76
| spl8_77 ),
inference(avatar_split_clause,[],[f197,f635,f631,f302,f311]) ).
fof(f197,plain,
( e2 = op(e3,e3)
| e2 = op(e2,e2)
| sP5
| sP4 ),
inference(cnf_transformation,[],[f62]) ).
fof(f625,plain,
( spl8_1
| ~ spl8_16
| ~ spl8_20 ),
inference(avatar_split_clause,[],[f624,f342,f324,f254]) ).
fof(f624,plain,
( e0 = e1
| ~ spl8_16
| ~ spl8_20 ),
inference(forward_demodulation,[],[f326,f344]) ).
fof(f622,plain,
( spl8_17
| spl8_15
| spl8_74
| spl8_75 ),
inference(avatar_split_clause,[],[f193,f619,f615,f320,f329]) ).
fof(f193,plain,
( e1 = op(e3,e3)
| e1 = op(e2,e2)
| sP3
| sP2 ),
inference(cnf_transformation,[],[f62]) ).
fof(f613,plain,
( ~ spl8_19
| ~ spl8_73 ),
inference(avatar_split_clause,[],[f186,f610,f338]) ).
fof(f186,plain,
( e1 != op(e1,e0)
| ~ sP1 ),
inference(cnf_transformation,[],[f69]) ).
fof(f69,plain,
( ( e1 != op(e1,e0)
& e0 = op(e1,e1) )
| ~ sP1 ),
inference(nnf_transformation,[],[f55]) ).
fof(f603,plain,
( spl8_21
| spl8_19
| spl8_71
| spl8_72 ),
inference(avatar_split_clause,[],[f189,f600,f596,f338,f347]) ).
fof(f189,plain,
( e0 = op(e3,e3)
| e0 = op(e2,e2)
| sP1
| sP0 ),
inference(cnf_transformation,[],[f62]) ).
fof(f594,plain,
~ spl8_70,
inference(avatar_split_clause,[],[f124,f591]) ).
fof(f591,plain,
( spl8_70
<=> op(e3,e2) = op(e3,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_70])]) ).
fof(f124,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(f589,plain,
~ spl8_69,
inference(avatar_split_clause,[],[f123,f586]) ).
fof(f586,plain,
( spl8_69
<=> op(e3,e1) = op(e3,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_69])]) ).
fof(f123,plain,
op(e3,e1) != op(e3,e3),
inference(cnf_transformation,[],[f3]) ).
fof(f584,plain,
~ spl8_68,
inference(avatar_split_clause,[],[f122,f581]) ).
fof(f581,plain,
( spl8_68
<=> op(e3,e1) = op(e3,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_68])]) ).
fof(f122,plain,
op(e3,e1) != op(e3,e2),
inference(cnf_transformation,[],[f3]) ).
fof(f579,plain,
~ spl8_67,
inference(avatar_split_clause,[],[f121,f576]) ).
fof(f576,plain,
( spl8_67
<=> op(e3,e0) = op(e3,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_67])]) ).
fof(f121,plain,
op(e3,e0) != op(e3,e3),
inference(cnf_transformation,[],[f3]) ).
fof(f574,plain,
~ spl8_66,
inference(avatar_split_clause,[],[f120,f571]) ).
fof(f571,plain,
( spl8_66
<=> op(e3,e0) = op(e3,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_66])]) ).
fof(f120,plain,
op(e3,e0) != op(e3,e2),
inference(cnf_transformation,[],[f3]) ).
fof(f569,plain,
~ spl8_65,
inference(avatar_split_clause,[],[f119,f566]) ).
fof(f566,plain,
( spl8_65
<=> op(e3,e0) = op(e3,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_65])]) ).
fof(f119,plain,
op(e3,e0) != op(e3,e1),
inference(cnf_transformation,[],[f3]) ).
fof(f564,plain,
~ spl8_64,
inference(avatar_split_clause,[],[f118,f561]) ).
fof(f561,plain,
( spl8_64
<=> op(e2,e2) = op(e2,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_64])]) ).
fof(f118,plain,
op(e2,e2) != op(e2,e3),
inference(cnf_transformation,[],[f3]) ).
fof(f559,plain,
~ spl8_63,
inference(avatar_split_clause,[],[f117,f556]) ).
fof(f556,plain,
( spl8_63
<=> op(e2,e1) = op(e2,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_63])]) ).
fof(f117,plain,
op(e2,e1) != op(e2,e3),
inference(cnf_transformation,[],[f3]) ).
fof(f554,plain,
~ spl8_62,
inference(avatar_split_clause,[],[f116,f551]) ).
fof(f551,plain,
( spl8_62
<=> op(e2,e1) = op(e2,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_62])]) ).
fof(f116,plain,
op(e2,e1) != op(e2,e2),
inference(cnf_transformation,[],[f3]) ).
fof(f549,plain,
~ spl8_61,
inference(avatar_split_clause,[],[f115,f546]) ).
fof(f546,plain,
( spl8_61
<=> op(e2,e0) = op(e2,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_61])]) ).
fof(f115,plain,
op(e2,e0) != op(e2,e3),
inference(cnf_transformation,[],[f3]) ).
fof(f544,plain,
~ spl8_60,
inference(avatar_split_clause,[],[f114,f541]) ).
fof(f541,plain,
( spl8_60
<=> op(e2,e0) = op(e2,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_60])]) ).
fof(f114,plain,
op(e2,e0) != op(e2,e2),
inference(cnf_transformation,[],[f3]) ).
fof(f539,plain,
~ spl8_59,
inference(avatar_split_clause,[],[f113,f536]) ).
fof(f536,plain,
( spl8_59
<=> op(e2,e0) = op(e2,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_59])]) ).
fof(f113,plain,
op(e2,e0) != op(e2,e1),
inference(cnf_transformation,[],[f3]) ).
fof(f534,plain,
~ spl8_58,
inference(avatar_split_clause,[],[f112,f531]) ).
fof(f531,plain,
( spl8_58
<=> op(e1,e2) = op(e1,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_58])]) ).
fof(f112,plain,
op(e1,e2) != op(e1,e3),
inference(cnf_transformation,[],[f3]) ).
fof(f529,plain,
~ spl8_57,
inference(avatar_split_clause,[],[f111,f526]) ).
fof(f526,plain,
( spl8_57
<=> op(e1,e1) = op(e1,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_57])]) ).
fof(f111,plain,
op(e1,e1) != op(e1,e3),
inference(cnf_transformation,[],[f3]) ).
fof(f524,plain,
~ spl8_56,
inference(avatar_split_clause,[],[f110,f521]) ).
fof(f521,plain,
( spl8_56
<=> op(e1,e1) = op(e1,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_56])]) ).
fof(f110,plain,
op(e1,e1) != op(e1,e2),
inference(cnf_transformation,[],[f3]) ).
fof(f519,plain,
~ spl8_55,
inference(avatar_split_clause,[],[f109,f516]) ).
fof(f516,plain,
( spl8_55
<=> op(e1,e0) = op(e1,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_55])]) ).
fof(f109,plain,
op(e1,e0) != op(e1,e3),
inference(cnf_transformation,[],[f3]) ).
fof(f514,plain,
~ spl8_54,
inference(avatar_split_clause,[],[f108,f511]) ).
fof(f108,plain,
op(e1,e0) != op(e1,e2),
inference(cnf_transformation,[],[f3]) ).
fof(f509,plain,
~ spl8_53,
inference(avatar_split_clause,[],[f107,f506]) ).
fof(f107,plain,
op(e1,e0) != op(e1,e1),
inference(cnf_transformation,[],[f3]) ).
fof(f504,plain,
~ spl8_52,
inference(avatar_split_clause,[],[f106,f501]) ).
fof(f501,plain,
( spl8_52
<=> op(e0,e2) = op(e0,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_52])]) ).
fof(f106,plain,
op(e0,e2) != op(e0,e3),
inference(cnf_transformation,[],[f3]) ).
fof(f499,plain,
~ spl8_51,
inference(avatar_split_clause,[],[f105,f496]) ).
fof(f496,plain,
( spl8_51
<=> op(e0,e1) = op(e0,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_51])]) ).
fof(f105,plain,
op(e0,e1) != op(e0,e3),
inference(cnf_transformation,[],[f3]) ).
fof(f494,plain,
~ spl8_50,
inference(avatar_split_clause,[],[f104,f491]) ).
fof(f491,plain,
( spl8_50
<=> op(e0,e1) = op(e0,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_50])]) ).
fof(f104,plain,
op(e0,e1) != op(e0,e2),
inference(cnf_transformation,[],[f3]) ).
fof(f489,plain,
~ spl8_49,
inference(avatar_split_clause,[],[f103,f486]) ).
fof(f486,plain,
( spl8_49
<=> op(e0,e0) = op(e0,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_49])]) ).
fof(f103,plain,
op(e0,e0) != op(e0,e3),
inference(cnf_transformation,[],[f3]) ).
fof(f484,plain,
~ spl8_48,
inference(avatar_split_clause,[],[f102,f481]) ).
fof(f481,plain,
( spl8_48
<=> op(e0,e0) = op(e0,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_48])]) ).
fof(f102,plain,
op(e0,e0) != op(e0,e2),
inference(cnf_transformation,[],[f3]) ).
fof(f479,plain,
~ spl8_47,
inference(avatar_split_clause,[],[f101,f476]) ).
fof(f476,plain,
( spl8_47
<=> op(e0,e0) = op(e0,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_47])]) ).
fof(f101,plain,
op(e0,e0) != op(e0,e1),
inference(cnf_transformation,[],[f3]) ).
fof(f474,plain,
~ spl8_46,
inference(avatar_split_clause,[],[f100,f471]) ).
fof(f100,plain,
op(e2,e3) != op(e3,e3),
inference(cnf_transformation,[],[f3]) ).
fof(f469,plain,
~ spl8_45,
inference(avatar_split_clause,[],[f99,f466]) ).
fof(f466,plain,
( spl8_45
<=> op(e1,e3) = op(e3,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_45])]) ).
fof(f99,plain,
op(e1,e3) != op(e3,e3),
inference(cnf_transformation,[],[f3]) ).
fof(f464,plain,
~ spl8_44,
inference(avatar_split_clause,[],[f98,f461]) ).
fof(f461,plain,
( spl8_44
<=> op(e1,e3) = op(e2,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_44])]) ).
fof(f98,plain,
op(e1,e3) != op(e2,e3),
inference(cnf_transformation,[],[f3]) ).
fof(f459,plain,
~ spl8_43,
inference(avatar_split_clause,[],[f97,f456]) ).
fof(f97,plain,
op(e0,e3) != op(e3,e3),
inference(cnf_transformation,[],[f3]) ).
fof(f454,plain,
~ spl8_42,
inference(avatar_split_clause,[],[f96,f451]) ).
fof(f451,plain,
( spl8_42
<=> op(e0,e3) = op(e2,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_42])]) ).
fof(f96,plain,
op(e0,e3) != op(e2,e3),
inference(cnf_transformation,[],[f3]) ).
fof(f449,plain,
~ spl8_41,
inference(avatar_split_clause,[],[f95,f446]) ).
fof(f446,plain,
( spl8_41
<=> op(e0,e3) = op(e1,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_41])]) ).
fof(f95,plain,
op(e0,e3) != op(e1,e3),
inference(cnf_transformation,[],[f3]) ).
fof(f444,plain,
~ spl8_40,
inference(avatar_split_clause,[],[f94,f441]) ).
fof(f441,plain,
( spl8_40
<=> op(e2,e2) = op(e3,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_40])]) ).
fof(f94,plain,
op(e2,e2) != op(e3,e2),
inference(cnf_transformation,[],[f3]) ).
fof(f439,plain,
~ spl8_39,
inference(avatar_split_clause,[],[f93,f436]) ).
fof(f436,plain,
( spl8_39
<=> op(e1,e2) = op(e3,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_39])]) ).
fof(f93,plain,
op(e1,e2) != op(e3,e2),
inference(cnf_transformation,[],[f3]) ).
fof(f434,plain,
~ spl8_38,
inference(avatar_split_clause,[],[f92,f431]) ).
fof(f92,plain,
op(e1,e2) != op(e2,e2),
inference(cnf_transformation,[],[f3]) ).
fof(f429,plain,
~ spl8_37,
inference(avatar_split_clause,[],[f91,f426]) ).
fof(f426,plain,
( spl8_37
<=> op(e0,e2) = op(e3,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_37])]) ).
fof(f91,plain,
op(e0,e2) != op(e3,e2),
inference(cnf_transformation,[],[f3]) ).
fof(f424,plain,
~ spl8_36,
inference(avatar_split_clause,[],[f90,f421]) ).
fof(f421,plain,
( spl8_36
<=> op(e0,e2) = op(e2,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_36])]) ).
fof(f90,plain,
op(e0,e2) != op(e2,e2),
inference(cnf_transformation,[],[f3]) ).
fof(f419,plain,
~ spl8_35,
inference(avatar_split_clause,[],[f89,f416]) ).
fof(f416,plain,
( spl8_35
<=> op(e0,e2) = op(e1,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_35])]) ).
fof(f89,plain,
op(e0,e2) != op(e1,e2),
inference(cnf_transformation,[],[f3]) ).
fof(f414,plain,
~ spl8_34,
inference(avatar_split_clause,[],[f88,f411]) ).
fof(f411,plain,
( spl8_34
<=> op(e2,e1) = op(e3,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_34])]) ).
fof(f88,plain,
op(e2,e1) != op(e3,e1),
inference(cnf_transformation,[],[f3]) ).
fof(f409,plain,
~ spl8_33,
inference(avatar_split_clause,[],[f87,f406]) ).
fof(f406,plain,
( spl8_33
<=> op(e1,e1) = op(e3,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_33])]) ).
fof(f87,plain,
op(e1,e1) != op(e3,e1),
inference(cnf_transformation,[],[f3]) ).
fof(f404,plain,
~ spl8_32,
inference(avatar_split_clause,[],[f86,f401]) ).
fof(f401,plain,
( spl8_32
<=> op(e1,e1) = op(e2,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_32])]) ).
fof(f86,plain,
op(e1,e1) != op(e2,e1),
inference(cnf_transformation,[],[f3]) ).
fof(f399,plain,
~ spl8_31,
inference(avatar_split_clause,[],[f85,f396]) ).
fof(f396,plain,
( spl8_31
<=> op(e0,e1) = op(e3,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_31])]) ).
fof(f85,plain,
op(e0,e1) != op(e3,e1),
inference(cnf_transformation,[],[f3]) ).
fof(f394,plain,
~ spl8_30,
inference(avatar_split_clause,[],[f84,f391]) ).
fof(f391,plain,
( spl8_30
<=> op(e0,e1) = op(e2,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_30])]) ).
fof(f84,plain,
op(e0,e1) != op(e2,e1),
inference(cnf_transformation,[],[f3]) ).
fof(f389,plain,
~ spl8_29,
inference(avatar_split_clause,[],[f83,f386]) ).
fof(f83,plain,
op(e0,e1) != op(e1,e1),
inference(cnf_transformation,[],[f3]) ).
fof(f384,plain,
~ spl8_28,
inference(avatar_split_clause,[],[f82,f381]) ).
fof(f381,plain,
( spl8_28
<=> op(e2,e0) = op(e3,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_28])]) ).
fof(f82,plain,
op(e2,e0) != op(e3,e0),
inference(cnf_transformation,[],[f3]) ).
fof(f379,plain,
~ spl8_27,
inference(avatar_split_clause,[],[f81,f376]) ).
fof(f376,plain,
( spl8_27
<=> op(e1,e0) = op(e3,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_27])]) ).
fof(f81,plain,
op(e1,e0) != op(e3,e0),
inference(cnf_transformation,[],[f3]) ).
fof(f374,plain,
~ spl8_26,
inference(avatar_split_clause,[],[f80,f371]) ).
fof(f371,plain,
( spl8_26
<=> op(e1,e0) = op(e2,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_26])]) ).
fof(f80,plain,
op(e1,e0) != op(e2,e0),
inference(cnf_transformation,[],[f3]) ).
fof(f369,plain,
~ spl8_25,
inference(avatar_split_clause,[],[f79,f366]) ).
fof(f366,plain,
( spl8_25
<=> op(e0,e0) = op(e3,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_25])]) ).
fof(f79,plain,
op(e0,e0) != op(e3,e0),
inference(cnf_transformation,[],[f3]) ).
fof(f364,plain,
~ spl8_24,
inference(avatar_split_clause,[],[f78,f361]) ).
fof(f361,plain,
( spl8_24
<=> op(e0,e0) = op(e2,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_24])]) ).
fof(f78,plain,
op(e0,e0) != op(e2,e0),
inference(cnf_transformation,[],[f3]) ).
fof(f359,plain,
~ spl8_23,
inference(avatar_split_clause,[],[f77,f356]) ).
fof(f356,plain,
( spl8_23
<=> op(e0,e0) = op(e1,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_23])]) ).
fof(f77,plain,
op(e0,e0) != op(e1,e0),
inference(cnf_transformation,[],[f3]) ).
fof(f354,plain,
( ~ spl8_21
| spl8_22 ),
inference(avatar_split_clause,[],[f187,f351,f347]) ).
fof(f187,plain,
( e0 = op(e0,e0)
| ~ sP0 ),
inference(cnf_transformation,[],[f70]) ).
fof(f345,plain,
( ~ spl8_19
| spl8_20 ),
inference(avatar_split_clause,[],[f185,f342,f338]) ).
fof(f185,plain,
( e0 = op(e1,e1)
| ~ sP1 ),
inference(cnf_transformation,[],[f69]) ).
fof(f336,plain,
( ~ spl8_17
| spl8_18 ),
inference(avatar_split_clause,[],[f183,f333,f329]) ).
fof(f183,plain,
( op(e0,e0) = e1
| ~ sP2 ),
inference(cnf_transformation,[],[f68]) ).
fof(f327,plain,
( ~ spl8_15
| spl8_16 ),
inference(avatar_split_clause,[],[f181,f324,f320]) ).
fof(f181,plain,
( e1 = op(e1,e1)
| ~ sP3 ),
inference(cnf_transformation,[],[f67]) ).
fof(f318,plain,
( ~ spl8_13
| spl8_14 ),
inference(avatar_split_clause,[],[f179,f315,f311]) ).
fof(f179,plain,
( op(e0,e0) = e2
| ~ sP4 ),
inference(cnf_transformation,[],[f66]) ).
fof(f309,plain,
( ~ spl8_11
| spl8_12 ),
inference(avatar_split_clause,[],[f177,f306,f302]) ).
fof(f177,plain,
( e2 = op(e1,e1)
| ~ sP5 ),
inference(cnf_transformation,[],[f65]) ).
fof(f300,plain,
( ~ spl8_9
| spl8_10 ),
inference(avatar_split_clause,[],[f175,f297,f293]) ).
fof(f175,plain,
( op(e0,e0) = e3
| ~ sP6 ),
inference(cnf_transformation,[],[f64]) ).
fof(f291,plain,
( ~ spl8_7
| spl8_8 ),
inference(avatar_split_clause,[],[f173,f288,f284]) ).
fof(f173,plain,
( e3 = op(e1,e1)
| ~ sP7 ),
inference(cnf_transformation,[],[f63]) ).
fof(f282,plain,
~ spl8_6,
inference(avatar_split_clause,[],[f76,f279]) ).
fof(f76,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(f277,plain,
~ spl8_5,
inference(avatar_split_clause,[],[f75,f274]) ).
fof(f75,plain,
e1 != e3,
inference(cnf_transformation,[],[f4]) ).
fof(f272,plain,
~ spl8_4,
inference(avatar_split_clause,[],[f74,f269]) ).
fof(f74,plain,
e1 != e2,
inference(cnf_transformation,[],[f4]) ).
fof(f267,plain,
~ spl8_3,
inference(avatar_split_clause,[],[f73,f264]) ).
fof(f73,plain,
e0 != e3,
inference(cnf_transformation,[],[f4]) ).
fof(f262,plain,
~ spl8_2,
inference(avatar_split_clause,[],[f72,f259]) ).
fof(f72,plain,
e0 != e2,
inference(cnf_transformation,[],[f4]) ).
fof(f257,plain,
~ spl8_1,
inference(avatar_split_clause,[],[f71,f254]) ).
fof(f71,plain,
e0 != e1,
inference(cnf_transformation,[],[f4]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09 % Problem : ALG142+1 : TPTP v8.1.2. Released v2.7.0.
% 0.00/0.10 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.11/0.30 % Computer : n016.cluster.edu
% 0.11/0.30 % Model : x86_64 x86_64
% 0.11/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.30 % Memory : 8042.1875MB
% 0.11/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.30 % CPULimit : 300
% 0.11/0.30 % WCLimit : 300
% 0.11/0.30 % DateTime : Fri May 3 19:57:08 EDT 2024
% 0.11/0.30 % CPUTime :
% 0.11/0.30 % (29345)Running in auto input_syntax mode. Trying TPTP
% 0.16/0.32 % (29348)WARNING: value z3 for option sas not known
% 0.16/0.32 % (29346)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.16/0.32 % (29349)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.16/0.32 % (29352)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)
% 0.16/0.32 % (29350)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)
% 0.16/0.32 % (29347)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.16/0.32 % (29351)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)
% 0.16/0.32 % (29348)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)
% 0.16/0.34 Detected minimum model sizes of [4]
% 0.16/0.34 Detected maximum model sizes of [max]
% 0.16/0.34 Detected minimum model sizes of [4]
% 0.16/0.34 Detected maximum model sizes of [max]
% 0.16/0.34 TRYING [4]
% 0.16/0.34 TRYING [4]
% 0.16/0.35 TRYING [5]
% 0.16/0.35 TRYING [5]
% 0.16/0.37 TRYING [6]
% 0.16/0.37 TRYING [6]
% 0.16/0.39 TRYING [7]
% 0.16/0.39 TRYING [7]
% 0.16/0.41 TRYING [8]
% 0.16/0.42 TRYING [8]
% 0.16/0.45 TRYING [9]
% 0.16/0.45 TRYING [9]
% 0.16/0.49 TRYING [10]
% 0.16/0.49 TRYING [10]
% 0.16/0.54 TRYING [11]
% 0.16/0.54 TRYING [11]
% 2.09/0.61 TRYING [12]
% 2.09/0.61 TRYING [12]
% 2.36/0.68 TRYING [13]
% 2.36/0.69 TRYING [13]
% 3.28/0.77 % (29350)First to succeed.
% 3.28/0.77 TRYING [14]
% 3.28/0.78 TRYING [14]
% 3.28/0.79 % (29350)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-29345"
% 3.28/0.79 % (29350)Refutation found. Thanks to Tanya!
% 3.28/0.79 % SZS status Unsatisfiable for theBenchmark
% 3.28/0.79 % SZS output start Proof for theBenchmark
% See solution above
% 3.28/0.81 % (29350)------------------------------
% 3.28/0.81 % (29350)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 3.28/0.81 % (29350)Termination reason: Refutation
% 3.28/0.81
% 3.28/0.81 % (29350)Memory used [KB]: 3213
% 3.28/0.81 % (29350)Time elapsed: 0.472 s
% 3.28/0.81 % (29350)Instructions burned: 1073 (million)
% 3.28/0.81 % (29345)Success in time 0.497 s
%------------------------------------------------------------------------------