TSTP Solution File: ALG150+1 by Vampire-SAT---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : ALG150+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 : n005.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Sun May 5 04:26:01 EDT 2024
% Result : Unsatisfiable 4.42s 1.01s
% Output : Refutation 4.42s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 169
% Syntax : Number of formulae : 2777 ( 109 unt; 0 def)
% Number of atoms : 12860 (5425 equ)
% Maximal formula atoms : 128 ( 4 avg)
% Number of connectives : 16638 (6555 ~;9733 |; 213 &)
% ( 137 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 49 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 142 ( 140 usr; 141 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-2 aty)
% Number of variables : 0 ( 0 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f17916,plain,
$false,
inference(avatar_sat_refutation,[],[f272,f277,f282,f287,f292,f297,f302,f307,f312,f317,f322,f327,f332,f337,f342,f347,f352,f357,f362,f367,f372,f377,f382,f387,f392,f397,f402,f407,f412,f417,f422,f427,f432,f437,f442,f447,f452,f457,f462,f467,f472,f477,f482,f487,f492,f497,f502,f507,f512,f517,f522,f527,f532,f537,f546,f555,f564,f573,f582,f591,f600,f609,f618,f627,f636,f645,f654,f663,f672,f677,f682,f687,f692,f697,f711,f728,f731,f752,f756,f771,f785,f806,f819,f820,f834,f841,f849,f854,f857,f862,f898,f914,f917,f938,f963,f974,f984,f986,f995,f1007,f1013,f1019,f1037,f1057,f1066,f1074,f1100,f1112,f1129,f1138,f1146,f1154,f1176,f1191,f1194,f1202,f1210,f1239,f1250,f1252,f1265,f1283,f1297,f1303,f1312,f1314,f1322,f1328,f1331,f1337,f1339,f1342,f1351,f1370,f1372,f1380,f1386,f1403,f1415,f1430,f1439,f1450,f1457,f1507,f1515,f1551,f1569,f1585,f1626,f1649,f1664,f1682,f1693,f1720,f1726,f1742,f1765,f1778,f1787,f1803,f1805,f1821,f1831,f1833,f1841,f1866,f1881,f1912,f1927,f1950,f1960,f1964,f1984,f1986,f1988,f2007,f2041,f2050,f2064,f2084,f2093,f2111,f2131,f2147,f2154,f2169,f2210,f2269,f2334,f2343,f2373,f2386,f2401,f2430,f2455,f2488,f2503,f2510,f2519,f2527,f2530,f2580,f2588,f2599,f2627,f2653,f2670,f2687,f2727,f2762,f2764,f2780,f2805,f2834,f2860,f2873,f2929,f2952,f2969,f3025,f3064,f3068,f3099,f3117,f3148,f3198,f3200,f3203,f3246,f3296,f3358,f3360,f3362,f3391,f3402,f3409,f3419,f3425,f3453,f3455,f3475,f3485,f3500,f3508,f3516,f3518,f3540,f3607,f3656,f3663,f3671,f3712,f3735,f3750,f3770,f3798,f3831,f3838,f3847,f3868,f3878,f3911,f3937,f3950,f3962,f4020,f4024,f4044,f4068,f4082,f4136,f4160,f4194,f4230,f4301,f4331,f4365,f4375,f4382,f4400,f4407,f4416,f4428,f4459,f4488,f4490,f4496,f4497,f4499,f4501,f4503,f4505,f4507,f4509,f4514,f4518,f4522,f4528,f4542,f4580,f4581,f4642,f4643,f4693,f4699,f4701,f4713,f4738,f4817,f4821,f4896,f4904,f4975,f4980,f5005,f5007,f5017,f5046,f5090,f5136,f5224,f5245,f5385,f5391,f5396,f5402,f5404,f5417,f5430,f5497,f5582,f5617,f5655,f5699,f5772,f5832,f5876,f5878,f5880,f5883,f5885,f5887,f5889,f5891,f5936,f5937,f5939,f5986,f6040,f6042,f6071,f6109,f6111,f6121,f6131,f6153,f6155,f6219,f6221,f6230,f6278,f6280,f6290,f6314,f6330,f6368,f6372,f6374,f6390,f6415,f6416,f6418,f6427,f6447,f6462,f6515,f6527,f6561,f6579,f6598,f6680,f6683,f6696,f6697,f6756,f6807,f6836,f6837,f6884,f6885,f6946,f6994,f6996,f7043,f7079,f7089,f7202,f7207,f7262,f7273,f7291,f7307,f7308,f7338,f7366,f7476,f7483,f7562,f7574,f7680,f7712,f7722,f7727,f7744,f7748,f7759,f7777,f7784,f7793,f7795,f7900,f7906,f7908,f7946,f7962,f8005,f8038,f8061,f8068,f8073,f8088,f8089,f8159,f8199,f8243,f8259,f8265,f8283,f8298,f8309,f8311,f8324,f8358,f8362,f8372,f8404,f8416,f8442,f8455,f8491,f8517,f8518,f8580,f8595,f8618,f8629,f8671,f8739,f8763,f8806,f8917,f8953,f9001,f9022,f9030,f9039,f9087,f9117,f9119,f9147,f9158,f9187,f9224,f9226,f9297,f9338,f9363,f9381,f9400,f9411,f9433,f9440,f9447,f9449,f9451,f9454,f9456,f9458,f9460,f9462,f9466,f9467,f9469,f9471,f9473,f9475,f9477,f9479,f9484,f9501,f9502,f9520,f9527,f9543,f9597,f9615,f9638,f9647,f9648,f9655,f9664,f9666,f9668,f9670,f9672,f9755,f9807,f9910,f9999,f10010,f10012,f10014,f10016,f10018,f10020,f10077,f10082,f10084,f10140,f10224,f10316,f10372,f10375,f10386,f10419,f10494,f10565,f10623,f10698,f10762,f10818,f10977,f10990,f11043,f11082,f11110,f11124,f11316,f11431,f11433,f11498,f11513,f11521,f11524,f11533,f11552,f11577,f11603,f11643,f11651,f11652,f11662,f11664,f11713,f11791,f11821,f11845,f11859,f11981,f11996,f12020,f12126,f12143,f12147,f12197,f12200,f12202,f12204,f12206,f12208,f12210,f12212,f12214,f12307,f12395,f12411,f12506,f12522,f12573,f12627,f12665,f12685,f12706,f12715,f12828,f12860,f12899,f12948,f13031,f13073,f13088,f13104,f13106,f13144,f13192,f13201,f13210,f13244,f13287,f13328,f13409,f13415,f13417,f13514,f13529,f13535,f13552,f13651,f13654,f13736,f13818,f13837,f13900,f13943,f13945,f13946,f14057,f14070,f14115,f14164,f14173,f14211,f14266,f14323,f14332,f14338,f14381,f14408,f14506,f14527,f14559,f14678,f14702,f14704,f14706,f14708,f14710,f14712,f14786,f14828,f14834,f14835,f14854,f14877,f14918,f14926,f14928,f14930,f14959,f14974,f14978,f15076,f15134,f15169,f15308,f15319,f15335,f15347,f15368,f15369,f15377,f15379,f15381,f15383,f15385,f15387,f15389,f15391,f15393,f15395,f15397,f15399,f15401,f15406,f15491,f15542,f15544,f15549,f15597,f15602,f15608,f15615,f15617,f15619,f15621,f15623,f15625,f15686,f15720,f15735,f15747,f15749,f15751,f15753,f15756,f15854,f15917,f15927,f16058,f16068,f16081,f16116,f16124,f16134,f16209,f16354,f16432,f16455,f16525,f16581,f16658,f16686,f16742,f16752,f16762,f16827,f16836,f16948,f16951,f17000,f17028,f17093,f17151,f17158,f17181,f17200,f17278,f17329,f17381,f17390,f17395,f17422,f17431,f17433,f17521,f17532,f17534,f17540,f17629,f17675,f17677,f17683,f17686,f17749,f17834,f17836,f17849,f17853,f17856,f17858,f17860,f17862,f17864,f17866,f17868,f17915]) ).
fof(f17915,plain,
( spl3_113
| spl3_6
| spl3_2
| spl3_4
| ~ spl3_61
| ~ spl3_92
| ~ spl3_118 ),
inference(avatar_split_clause,[],[f6184,f1188,f708,f566,f284,f274,f294,f1004]) ).
fof(f1004,plain,
( spl3_113
<=> e2 = op(e1,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_113])]) ).
fof(f294,plain,
( spl3_6
<=> e2 = e3 ),
introduced(avatar_definition,[new_symbols(naming,[spl3_6])]) ).
fof(f274,plain,
( spl3_2
<=> e0 = e2 ),
introduced(avatar_definition,[new_symbols(naming,[spl3_2])]) ).
fof(f284,plain,
( spl3_4
<=> e1 = e2 ),
introduced(avatar_definition,[new_symbols(naming,[spl3_4])]) ).
fof(f566,plain,
( spl3_61
<=> op(e0,e0) = e1 ),
introduced(avatar_definition,[new_symbols(naming,[spl3_61])]) ).
fof(f708,plain,
( spl3_92
<=> e0 = op(e3,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_92])]) ).
fof(f1188,plain,
( spl3_118
<=> e3 = op(e2,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_118])]) ).
fof(f6184,plain,
( e1 = e2
| e0 = e2
| e2 = e3
| e2 = op(e1,e0)
| ~ spl3_61
| ~ spl3_92
| ~ spl3_118 ),
inference(forward_demodulation,[],[f6183,f567]) ).
fof(f567,plain,
( op(e0,e0) = e1
| ~ spl3_61 ),
inference(avatar_component_clause,[],[f566]) ).
fof(f6183,plain,
( e0 = e2
| e2 = e3
| e2 = op(e1,e0)
| op(e0,e0) = e2
| ~ spl3_92
| ~ spl3_118 ),
inference(forward_demodulation,[],[f4370,f710]) ).
fof(f710,plain,
( e0 = op(e3,e0)
| ~ spl3_92 ),
inference(avatar_component_clause,[],[f708]) ).
fof(f4370,plain,
( e2 = e3
| e2 = op(e3,e0)
| e2 = op(e1,e0)
| op(e0,e0) = e2
| ~ spl3_118 ),
inference(forward_demodulation,[],[f120,f1190]) ).
fof(f1190,plain,
( e3 = op(e2,e0)
| ~ spl3_118 ),
inference(avatar_component_clause,[],[f1188]) ).
fof(f120,plain,
( e2 = op(e3,e0)
| e2 = op(e2,e0)
| e2 = op(e1,e0)
| op(e0,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(f17868,plain,
( ~ spl3_121
| ~ spl3_105
| spl3_135 ),
inference(avatar_split_clause,[],[f16646,f13101,f803,f1800]) ).
fof(f1800,plain,
( spl3_121
<=> e2 = op(e3,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_121])]) ).
fof(f803,plain,
( spl3_105
<=> e2 = op(e0,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_105])]) ).
fof(f13101,plain,
( spl3_135
<=> op(e0,e3) = op(e3,op(e0,e3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_135])]) ).
fof(f16646,plain,
( e2 != op(e3,e2)
| ~ spl3_105
| spl3_135 ),
inference(superposition,[],[f13103,f805]) ).
fof(f805,plain,
( e2 = op(e0,e3)
| ~ spl3_105 ),
inference(avatar_component_clause,[],[f803]) ).
fof(f13103,plain,
( op(e0,e3) != op(e3,op(e0,e3))
| spl3_135 ),
inference(avatar_component_clause,[],[f13101]) ).
fof(f17866,plain,
( ~ spl3_103
| spl3_35
| ~ spl3_105 ),
inference(avatar_split_clause,[],[f15877,f803,f439,f795]) ).
fof(f795,plain,
( spl3_103
<=> e2 = op(e0,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_103])]) ).
fof(f439,plain,
( spl3_35
<=> op(e0,e1) = op(e0,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_35])]) ).
fof(f15877,plain,
( e2 != op(e0,e1)
| spl3_35
| ~ spl3_105 ),
inference(superposition,[],[f441,f805]) ).
fof(f441,plain,
( op(e0,e1) != op(e0,e3)
| spl3_35 ),
inference(avatar_component_clause,[],[f439]) ).
fof(f17864,plain,
( spl3_91
| ~ spl3_110
| ~ spl3_132 ),
inference(avatar_split_clause,[],[f14069,f6106,f891,f704]) ).
fof(f704,plain,
( spl3_91
<=> e0 = op(e2,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_91])]) ).
fof(f891,plain,
( spl3_110
<=> e0 = op(e1,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_110])]) ).
fof(f6106,plain,
( spl3_132
<=> op(e1,e2) = op(e2,op(e1,e2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_132])]) ).
fof(f14069,plain,
( e0 = op(e2,e0)
| ~ spl3_110
| ~ spl3_132 ),
inference(superposition,[],[f6107,f893]) ).
fof(f893,plain,
( e0 = op(e1,e2)
| ~ spl3_110 ),
inference(avatar_component_clause,[],[f891]) ).
fof(f6107,plain,
( op(e1,e2) = op(e2,op(e1,e2))
| ~ spl3_132 ),
inference(avatar_component_clause,[],[f6106]) ).
fof(f17862,plain,
( ~ spl3_117
| spl3_39
| ~ spl3_119 ),
inference(avatar_split_clause,[],[f13809,f1247,f459,f1184]) ).
fof(f1184,plain,
( spl3_117
<=> e3 = op(e1,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_117])]) ).
fof(f459,plain,
( spl3_39
<=> op(e1,e0) = op(e1,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_39])]) ).
fof(f1247,plain,
( spl3_119
<=> e3 = op(e1,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_119])]) ).
fof(f13809,plain,
( e3 != op(e1,e0)
| spl3_39
| ~ spl3_119 ),
inference(superposition,[],[f461,f1249]) ).
fof(f1249,plain,
( e3 = op(e1,e3)
| ~ spl3_119 ),
inference(avatar_component_clause,[],[f1247]) ).
fof(f461,plain,
( op(e1,e0) != op(e1,e3)
| spl3_39 ),
inference(avatar_component_clause,[],[f459]) ).
fof(f17860,plain,
( ~ spl3_65
| spl3_8
| ~ spl3_118 ),
inference(avatar_split_clause,[],[f12813,f1188,f304,f584]) ).
fof(f584,plain,
( spl3_65
<=> op(e0,e0) = e3 ),
introduced(avatar_definition,[new_symbols(naming,[spl3_65])]) ).
fof(f304,plain,
( spl3_8
<=> op(e0,e0) = op(e2,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_8])]) ).
fof(f12813,plain,
( op(e0,e0) != e3
| spl3_8
| ~ spl3_118 ),
inference(superposition,[],[f306,f1190]) ).
fof(f306,plain,
( op(e0,e0) != op(e2,e0)
| spl3_8 ),
inference(avatar_component_clause,[],[f304]) ).
fof(f17858,plain,
( ~ spl3_91
| spl3_45
| ~ spl3_124 ),
inference(avatar_split_clause,[],[f10366,f2038,f489,f704]) ).
fof(f489,plain,
( spl3_45
<=> op(e2,e0) = op(e2,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_45])]) ).
fof(f2038,plain,
( spl3_124
<=> e0 = op(e2,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_124])]) ).
fof(f10366,plain,
( e0 != op(e2,e0)
| spl3_45
| ~ spl3_124 ),
inference(superposition,[],[f491,f2040]) ).
fof(f2040,plain,
( e0 = op(e2,e3)
| ~ spl3_124 ),
inference(avatar_component_clause,[],[f2038]) ).
fof(f491,plain,
( op(e2,e0) != op(e2,e3)
| spl3_45 ),
inference(avatar_component_clause,[],[f489]) ).
fof(f17856,plain,
( ~ spl3_66
| spl3_26
| ~ spl3_124 ),
inference(avatar_split_clause,[],[f10364,f2038,f394,f588]) ).
fof(f588,plain,
( spl3_66
<=> e0 = op(e0,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_66])]) ).
fof(f394,plain,
( spl3_26
<=> op(e0,e3) = op(e2,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_26])]) ).
fof(f10364,plain,
( e0 != op(e0,e3)
| spl3_26
| ~ spl3_124 ),
inference(superposition,[],[f396,f2040]) ).
fof(f396,plain,
( op(e0,e3) != op(e2,e3)
| spl3_26 ),
inference(avatar_component_clause,[],[f394]) ).
fof(f17853,plain,
( spl3_98
| ~ spl3_119
| ~ spl3_131 ),
inference(avatar_split_clause,[],[f6229,f6037,f1247,f749]) ).
fof(f749,plain,
( spl3_98
<=> e3 = op(e3,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_98])]) ).
fof(f6037,plain,
( spl3_131
<=> op(e1,e3) = op(e3,op(e1,e3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_131])]) ).
fof(f6229,plain,
( e3 = op(e3,e3)
| ~ spl3_119
| ~ spl3_131 ),
inference(superposition,[],[f6038,f1249]) ).
fof(f6038,plain,
( op(e1,e3) = op(e3,op(e1,e3))
| ~ spl3_131 ),
inference(avatar_component_clause,[],[f6037]) ).
fof(f17849,plain,
( spl3_4
| ~ spl3_75
| ~ spl3_87
| ~ spl3_121 ),
inference(avatar_split_clause,[],[f17845,f1800,f684,f629,f284]) ).
fof(f629,plain,
( spl3_75
<=> e1 = op(e2,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_75])]) ).
fof(f684,plain,
( spl3_87
<=> op(e3,e2) = op(e2,op(e3,e2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_87])]) ).
fof(f17845,plain,
( e1 = e2
| ~ spl3_75
| ~ spl3_87
| ~ spl3_121 ),
inference(forward_demodulation,[],[f17844,f630]) ).
fof(f630,plain,
( e1 = op(e2,e2)
| ~ spl3_75 ),
inference(avatar_component_clause,[],[f629]) ).
fof(f17844,plain,
( e2 = op(e2,e2)
| ~ spl3_87
| ~ spl3_121 ),
inference(superposition,[],[f685,f1802]) ).
fof(f1802,plain,
( e2 = op(e3,e2)
| ~ spl3_121 ),
inference(avatar_component_clause,[],[f1800]) ).
fof(f685,plain,
( op(e3,e2) = op(e2,op(e3,e2))
| ~ spl3_87 ),
inference(avatar_component_clause,[],[f684]) ).
fof(f17836,plain,
( spl3_92
| ~ spl3_124
| ~ spl3_129 ),
inference(avatar_split_clause,[],[f12231,f5399,f2038,f708]) ).
fof(f5399,plain,
( spl3_129
<=> op(e2,e3) = op(e3,op(e2,e3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_129])]) ).
fof(f12231,plain,
( e0 = op(e3,e0)
| ~ spl3_124
| ~ spl3_129 ),
inference(forward_demodulation,[],[f5400,f2040]) ).
fof(f5400,plain,
( op(e2,e3) = op(e3,op(e2,e3))
| ~ spl3_129 ),
inference(avatar_component_clause,[],[f5399]) ).
fof(f17834,plain,
( spl3_104
| ~ spl3_58
| ~ spl3_113 ),
inference(avatar_split_clause,[],[f9937,f1004,f552,f799]) ).
fof(f799,plain,
( spl3_104
<=> e2 = op(e0,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_104])]) ).
fof(f552,plain,
( spl3_58
<=> op(e1,e0) = op(e0,op(e1,e0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_58])]) ).
fof(f9937,plain,
( e2 = op(e0,e2)
| ~ spl3_58
| ~ spl3_113 ),
inference(forward_demodulation,[],[f553,f1006]) ).
fof(f1006,plain,
( e2 = op(e1,e0)
| ~ spl3_113 ),
inference(avatar_component_clause,[],[f1004]) ).
fof(f553,plain,
( op(e1,e0) = op(e0,op(e1,e0))
| ~ spl3_58 ),
inference(avatar_component_clause,[],[f552]) ).
fof(f17749,plain,
( ~ spl3_55
| ~ spl3_124
| ~ spl3_129 ),
inference(avatar_split_clause,[],[f17703,f5399,f2038,f539]) ).
fof(f539,plain,
( spl3_55
<=> sP2 ),
introduced(avatar_definition,[new_symbols(naming,[spl3_55])]) ).
fof(f17703,plain,
( ~ sP2
| ~ spl3_124
| ~ spl3_129 ),
inference(trivial_inequality_removal,[],[f17702]) ).
fof(f17702,plain,
( e0 != e0
| ~ sP2
| ~ spl3_124
| ~ spl3_129 ),
inference(forward_demodulation,[],[f4525,f12231]) ).
fof(f4525,plain,
( e0 != op(e3,e0)
| ~ sP2
| ~ spl3_124 ),
inference(forward_demodulation,[],[f166,f2040]) ).
fof(f166,plain,
( op(e2,e3) != op(e3,op(e2,e3))
| ~ sP2 ),
inference(cnf_transformation,[],[f58]) ).
fof(f58,plain,
( ( op(e2,e3) != op(e3,op(e2,e3))
& op(e2,e2) != op(e2,op(e2,e2))
& op(e2,e1) != op(e1,op(e2,e1))
& op(e2,e0) != op(e0,op(e2,e0)) )
| ~ sP2 ),
inference(nnf_transformation,[],[f56]) ).
fof(f56,plain,
( ( op(e2,e3) != op(e3,op(e2,e3))
& op(e2,e2) != op(e2,op(e2,e2))
& op(e2,e1) != op(e1,op(e2,e1))
& op(e2,e0) != op(e0,op(e2,e0)) )
| ~ sP2 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP2])]) ).
fof(f17686,plain,
( spl3_81
| spl3_4
| spl3_5
| spl3_1
| ~ spl3_66
| ~ spl3_78
| ~ spl3_119 ),
inference(avatar_split_clause,[],[f17567,f1247,f642,f588,f269,f289,f284,f656]) ).
fof(f656,plain,
( spl3_81
<=> e1 = op(e3,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_81])]) ).
fof(f289,plain,
( spl3_5
<=> e1 = e3 ),
introduced(avatar_definition,[new_symbols(naming,[spl3_5])]) ).
fof(f269,plain,
( spl3_1
<=> e0 = e1 ),
introduced(avatar_definition,[new_symbols(naming,[spl3_1])]) ).
fof(f642,plain,
( spl3_78
<=> e2 = op(e2,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_78])]) ).
fof(f17567,plain,
( e0 = e1
| e1 = e3
| e1 = e2
| e1 = op(e3,e3)
| ~ spl3_66
| ~ spl3_78
| ~ spl3_119 ),
inference(forward_demodulation,[],[f4195,f590]) ).
fof(f590,plain,
( e0 = op(e0,e3)
| ~ spl3_66 ),
inference(avatar_component_clause,[],[f588]) ).
fof(f4195,plain,
( e1 = e3
| e1 = e2
| e1 = op(e3,e3)
| e1 = op(e0,e3)
| ~ spl3_78
| ~ spl3_119 ),
inference(forward_demodulation,[],[f3308,f1249]) ).
fof(f3308,plain,
( e1 = e2
| e1 = op(e3,e3)
| e1 = op(e1,e3)
| e1 = op(e0,e3)
| ~ spl3_78 ),
inference(forward_demodulation,[],[f142,f644]) ).
fof(f644,plain,
( e2 = op(e2,e3)
| ~ spl3_78 ),
inference(avatar_component_clause,[],[f642]) ).
fof(f142,plain,
( e1 = op(e3,e3)
| e1 = op(e2,e3)
| e1 = op(e1,e3)
| e1 = op(e0,e3) ),
inference(cnf_transformation,[],[f2]) ).
fof(f17683,plain,
( spl3_111
| spl3_2
| spl3_1
| ~ spl3_68
| ~ spl3_86
| ~ spl3_114
| ~ spl3_126 ),
inference(avatar_split_clause,[],[f17632,f3399,f1126,f679,f597,f269,f274,f895]) ).
fof(f895,plain,
( spl3_111
<=> e0 = op(e1,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_111])]) ).
fof(f597,plain,
( spl3_68
<=> e1 = op(e1,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_68])]) ).
fof(f679,plain,
( spl3_86
<=> op(e3,e1) = op(e1,op(e3,e1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_86])]) ).
fof(f1126,plain,
( spl3_114
<=> e1 = op(e3,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_114])]) ).
fof(f3399,plain,
( spl3_126
<=> e2 = op(e1,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_126])]) ).
fof(f17632,plain,
( e0 = e1
| e0 = e2
| e0 = op(e1,e3)
| ~ spl3_68
| ~ spl3_86
| ~ spl3_114
| ~ spl3_126 ),
inference(duplicate_literal_removal,[],[f17631]) ).
fof(f17631,plain,
( e0 = e1
| e0 = e2
| e0 = e1
| e0 = op(e1,e3)
| ~ spl3_68
| ~ spl3_86
| ~ spl3_114
| ~ spl3_126 ),
inference(forward_demodulation,[],[f17627,f11081]) ).
fof(f11081,plain,
( e1 = op(e1,e1)
| ~ spl3_86
| ~ spl3_114 ),
inference(superposition,[],[f680,f1128]) ).
fof(f1128,plain,
( e1 = op(e3,e1)
| ~ spl3_114 ),
inference(avatar_component_clause,[],[f1126]) ).
fof(f680,plain,
( op(e3,e1) = op(e1,op(e3,e1))
| ~ spl3_86 ),
inference(avatar_component_clause,[],[f679]) ).
fof(f17627,plain,
( e0 = e2
| e0 = e1
| e0 = op(e1,e3)
| e0 = op(e1,e1)
| ~ spl3_68
| ~ spl3_126 ),
inference(forward_demodulation,[],[f10995,f3401]) ).
fof(f3401,plain,
( e2 = op(e1,e2)
| ~ spl3_126 ),
inference(avatar_component_clause,[],[f3399]) ).
fof(f10995,plain,
( e0 = e1
| e0 = op(e1,e3)
| e0 = op(e1,e2)
| e0 = op(e1,e1)
| ~ spl3_68 ),
inference(forward_demodulation,[],[f123,f599]) ).
fof(f599,plain,
( e1 = op(e1,e0)
| ~ spl3_68 ),
inference(avatar_component_clause,[],[f597]) ).
fof(f123,plain,
( e0 = op(e1,e3)
| e0 = op(e1,e2)
| e0 = op(e1,e1)
| e0 = op(e1,e0) ),
inference(cnf_transformation,[],[f2]) ).
fof(f17677,plain,
( spl3_91
| ~ spl3_87
| ~ spl3_116 ),
inference(avatar_split_clause,[],[f17623,f1173,f684,f704]) ).
fof(f1173,plain,
( spl3_116
<=> e0 = op(e3,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_116])]) ).
fof(f17623,plain,
( e0 = op(e2,e0)
| ~ spl3_87
| ~ spl3_116 ),
inference(forward_demodulation,[],[f685,f1175]) ).
fof(f1175,plain,
( e0 = op(e3,e2)
| ~ spl3_116 ),
inference(avatar_component_clause,[],[f1173]) ).
fof(f17675,plain,
( spl3_93
| ~ spl3_58
| ~ spl3_68 ),
inference(avatar_split_clause,[],[f15384,f597,f552,f717]) ).
fof(f717,plain,
( spl3_93
<=> e1 = op(e0,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_93])]) ).
fof(f15384,plain,
( e1 = op(e0,e1)
| ~ spl3_58
| ~ spl3_68 ),
inference(forward_demodulation,[],[f553,f599]) ).
fof(f17629,plain,
( spl3_2
| ~ spl3_66
| ~ spl3_112
| ~ spl3_135 ),
inference(avatar_split_clause,[],[f17582,f13101,f992,f588,f274]) ).
fof(f992,plain,
( spl3_112
<=> e2 = op(e3,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_112])]) ).
fof(f17582,plain,
( e0 = e2
| ~ spl3_66
| ~ spl3_112
| ~ spl3_135 ),
inference(forward_demodulation,[],[f994,f17533]) ).
fof(f17533,plain,
( e0 = op(e3,e0)
| ~ spl3_66
| ~ spl3_135 ),
inference(forward_demodulation,[],[f13102,f590]) ).
fof(f13102,plain,
( op(e0,e3) = op(e3,op(e0,e3))
| ~ spl3_135 ),
inference(avatar_component_clause,[],[f13101]) ).
fof(f994,plain,
( e2 = op(e3,e0)
| ~ spl3_112 ),
inference(avatar_component_clause,[],[f992]) ).
fof(f17540,plain,
( spl3_81
| spl3_1
| spl3_4
| ~ spl3_66
| ~ spl3_78
| ~ spl3_123 ),
inference(avatar_split_clause,[],[f17270,f1981,f642,f588,f284,f269,f656]) ).
fof(f1981,plain,
( spl3_123
<=> e2 = op(e1,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_123])]) ).
fof(f17270,plain,
( e1 = e2
| e0 = e1
| e1 = op(e3,e3)
| ~ spl3_66
| ~ spl3_78
| ~ spl3_123 ),
inference(duplicate_literal_removal,[],[f17269]) ).
fof(f17269,plain,
( e1 = e2
| e1 = e2
| e0 = e1
| e1 = op(e3,e3)
| ~ spl3_66
| ~ spl3_78
| ~ spl3_123 ),
inference(forward_demodulation,[],[f17268,f1983]) ).
fof(f1983,plain,
( e2 = op(e1,e3)
| ~ spl3_123 ),
inference(avatar_component_clause,[],[f1981]) ).
fof(f17268,plain,
( e1 = e2
| e0 = e1
| e1 = op(e3,e3)
| e1 = op(e1,e3)
| ~ spl3_66
| ~ spl3_78 ),
inference(forward_demodulation,[],[f13146,f644]) ).
fof(f13146,plain,
( e0 = e1
| e1 = op(e3,e3)
| e1 = op(e2,e3)
| e1 = op(e1,e3)
| ~ spl3_66 ),
inference(forward_demodulation,[],[f142,f590]) ).
fof(f17534,plain,
( spl3_2
| spl3_6
| spl3_4
| ~ spl3_65
| ~ spl3_92
| ~ spl3_99
| ~ spl3_117 ),
inference(avatar_split_clause,[],[f17476,f1184,f764,f708,f584,f284,f294,f274]) ).
fof(f764,plain,
( spl3_99
<=> e1 = op(e2,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_99])]) ).
fof(f17476,plain,
( e1 = e2
| e2 = e3
| e0 = e2
| ~ spl3_65
| ~ spl3_92
| ~ spl3_99
| ~ spl3_117 ),
inference(forward_demodulation,[],[f17273,f766]) ).
fof(f766,plain,
( e1 = op(e2,e0)
| ~ spl3_99 ),
inference(avatar_component_clause,[],[f764]) ).
fof(f17273,plain,
( e2 = e3
| e0 = e2
| e2 = op(e2,e0)
| ~ spl3_65
| ~ spl3_92
| ~ spl3_117 ),
inference(duplicate_literal_removal,[],[f17272]) ).
fof(f17272,plain,
( e2 = e3
| e0 = e2
| e2 = e3
| e2 = op(e2,e0)
| ~ spl3_65
| ~ spl3_92
| ~ spl3_117 ),
inference(forward_demodulation,[],[f17271,f1186]) ).
fof(f1186,plain,
( e3 = op(e1,e0)
| ~ spl3_117 ),
inference(avatar_component_clause,[],[f1184]) ).
fof(f17271,plain,
( e0 = e2
| e2 = e3
| e2 = op(e2,e0)
| e2 = op(e1,e0)
| ~ spl3_65
| ~ spl3_92 ),
inference(forward_demodulation,[],[f9555,f710]) ).
fof(f9555,plain,
( e2 = e3
| e2 = op(e3,e0)
| e2 = op(e2,e0)
| e2 = op(e1,e0)
| ~ spl3_65 ),
inference(forward_demodulation,[],[f120,f585]) ).
fof(f585,plain,
( op(e0,e0) = e3
| ~ spl3_65 ),
inference(avatar_component_clause,[],[f584]) ).
fof(f17532,plain,
( ~ spl3_92
| ~ spl3_66
| spl3_135 ),
inference(avatar_split_clause,[],[f13595,f13101,f588,f708]) ).
fof(f13595,plain,
( e0 != op(e3,e0)
| ~ spl3_66
| spl3_135 ),
inference(superposition,[],[f13103,f590]) ).
fof(f17521,plain,
( spl3_121
| ~ spl3_78
| ~ spl3_129 ),
inference(avatar_split_clause,[],[f9483,f5399,f642,f1800]) ).
fof(f9483,plain,
( e2 = op(e3,e2)
| ~ spl3_78
| ~ spl3_129 ),
inference(forward_demodulation,[],[f5400,f644]) ).
fof(f17433,plain,
( ~ spl3_77
| ~ spl3_63
| ~ spl3_95 ),
inference(avatar_split_clause,[],[f267,f725,f575,f638]) ).
fof(f638,plain,
( spl3_77
<=> e3 = op(e2,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_77])]) ).
fof(f575,plain,
( spl3_63
<=> op(e0,e0) = e2 ),
introduced(avatar_definition,[new_symbols(naming,[spl3_63])]) ).
fof(f725,plain,
( spl3_95
<=> e1 = op(e0,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_95])]) ).
fof(f267,plain,
( e1 != op(e0,e3)
| op(e0,e0) != e2
| e3 != op(e2,e2) ),
inference(inner_rewriting,[],[f266]) ).
fof(f266,plain,
( e1 != op(e0,op(e2,e2))
| op(e0,e0) != e2
| e3 != op(e2,e2) ),
inference(inner_rewriting,[],[f219]) ).
fof(f219,plain,
( e1 != op(e0,op(op(e0,e0),op(e0,e0)))
| op(e0,e0) != e2
| e3 != op(op(e0,e0),op(e0,e0)) ),
inference(cnf_transformation,[],[f53]) ).
fof(f53,plain,
( e1 != op(e0,op(op(e0,e0),op(e0,e0)))
| op(e0,e0) != e2
| e3 != op(op(e0,e0),op(e0,e0)) ),
inference(ennf_transformation,[],[f29]) ).
fof(f29,axiom,
~ ( e1 = op(e0,op(op(e0,e0),op(e0,e0)))
& op(e0,e0) = e2
& e3 = op(op(e0,e0),op(e0,e0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax29) ).
fof(f17431,plain,
( ~ spl3_108
| spl3_20
| ~ spl3_77 ),
inference(avatar_split_clause,[],[f15855,f638,f364,f827]) ).
fof(f827,plain,
( spl3_108
<=> e3 = op(e0,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_108])]) ).
fof(f364,plain,
( spl3_20
<=> op(e0,e2) = op(e2,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_20])]) ).
fof(f15855,plain,
( e3 != op(e0,e2)
| spl3_20
| ~ spl3_77 ),
inference(superposition,[],[f366,f639]) ).
fof(f639,plain,
( e3 = op(e2,e2)
| ~ spl3_77 ),
inference(avatar_component_clause,[],[f638]) ).
fof(f366,plain,
( op(e0,e2) != op(e2,e2)
| spl3_20 ),
inference(avatar_component_clause,[],[f364]) ).
fof(f17422,plain,
( spl3_111
| spl3_2
| spl3_1
| spl3_3
| ~ spl3_96
| ~ spl3_117
| ~ spl3_126 ),
inference(avatar_split_clause,[],[f17396,f3399,f1184,f741,f279,f269,f274,f895]) ).
fof(f279,plain,
( spl3_3
<=> e0 = e3 ),
introduced(avatar_definition,[new_symbols(naming,[spl3_3])]) ).
fof(f741,plain,
( spl3_96
<=> e1 = op(e1,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_96])]) ).
fof(f17396,plain,
( e0 = e3
| e0 = e1
| e0 = e2
| e0 = op(e1,e3)
| ~ spl3_96
| ~ spl3_117
| ~ spl3_126 ),
inference(forward_demodulation,[],[f17019,f1186]) ).
fof(f17019,plain,
( e0 = e1
| e0 = e2
| e0 = op(e1,e3)
| e0 = op(e1,e0)
| ~ spl3_96
| ~ spl3_126 ),
inference(forward_demodulation,[],[f7627,f743]) ).
fof(f743,plain,
( e1 = op(e1,e1)
| ~ spl3_96 ),
inference(avatar_component_clause,[],[f741]) ).
fof(f7627,plain,
( e0 = e2
| e0 = op(e1,e3)
| e0 = op(e1,e1)
| e0 = op(e1,e0)
| ~ spl3_126 ),
inference(forward_demodulation,[],[f123,f3401]) ).
fof(f17395,plain,
( spl3_126
| spl3_6
| spl3_2
| spl3_4
| ~ spl3_64
| ~ spl3_77
| ~ spl3_122 ),
inference(avatar_split_clause,[],[f17358,f1828,f638,f579,f284,f274,f294,f3399]) ).
fof(f579,plain,
( spl3_64
<=> e0 = op(e0,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_64])]) ).
fof(f1828,plain,
( spl3_122
<=> e1 = op(e3,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_122])]) ).
fof(f17358,plain,
( e1 = e2
| e0 = e2
| e2 = e3
| e2 = op(e1,e2)
| ~ spl3_64
| ~ spl3_77
| ~ spl3_122 ),
inference(forward_demodulation,[],[f7297,f1830]) ).
fof(f1830,plain,
( e1 = op(e3,e2)
| ~ spl3_122 ),
inference(avatar_component_clause,[],[f1828]) ).
fof(f7297,plain,
( e0 = e2
| e2 = e3
| e2 = op(e3,e2)
| e2 = op(e1,e2)
| ~ spl3_64
| ~ spl3_77 ),
inference(forward_demodulation,[],[f7296,f581]) ).
fof(f581,plain,
( e0 = op(e0,e2)
| ~ spl3_64 ),
inference(avatar_component_clause,[],[f579]) ).
fof(f7296,plain,
( e2 = e3
| e2 = op(e3,e2)
| e2 = op(e1,e2)
| e2 = op(e0,e2)
| ~ spl3_77 ),
inference(forward_demodulation,[],[f136,f639]) ).
fof(f136,plain,
( e2 = op(e3,e2)
| e2 = op(e2,e2)
| e2 = op(e1,e2)
| e2 = op(e0,e2) ),
inference(cnf_transformation,[],[f2]) ).
fof(f17390,plain,
( spl3_79
| spl3_1
| spl3_2
| ~ spl3_78
| ~ spl3_95
| ~ spl3_123 ),
inference(avatar_split_clause,[],[f16531,f1981,f725,f642,f274,f269,f647]) ).
fof(f647,plain,
( spl3_79
<=> e0 = op(e3,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_79])]) ).
fof(f16531,plain,
( e0 = e2
| e0 = e1
| e0 = op(e3,e3)
| ~ spl3_78
| ~ spl3_95
| ~ spl3_123 ),
inference(duplicate_literal_removal,[],[f16530]) ).
fof(f16530,plain,
( e0 = e2
| e0 = e1
| e0 = e2
| e0 = op(e3,e3)
| ~ spl3_78
| ~ spl3_95
| ~ spl3_123 ),
inference(forward_demodulation,[],[f14344,f644]) ).
fof(f14344,plain,
( e0 = e1
| e0 = e2
| e0 = op(e3,e3)
| e0 = op(e2,e3)
| ~ spl3_95
| ~ spl3_123 ),
inference(forward_demodulation,[],[f3033,f727]) ).
fof(f727,plain,
( e1 = op(e0,e3)
| ~ spl3_95 ),
inference(avatar_component_clause,[],[f725]) ).
fof(f3033,plain,
( e0 = e2
| e0 = op(e3,e3)
| e0 = op(e2,e3)
| e0 = op(e0,e3)
| ~ spl3_123 ),
inference(forward_demodulation,[],[f140,f1983]) ).
fof(f140,plain,
( e0 = op(e3,e3)
| e0 = op(e2,e3)
| e0 = op(e1,e3)
| e0 = op(e0,e3) ),
inference(cnf_transformation,[],[f2]) ).
fof(f17381,plain,
( spl3_6
| spl3_4
| spl3_2
| ~ spl3_64
| ~ spl3_77
| ~ spl3_110
| ~ spl3_122 ),
inference(avatar_split_clause,[],[f17353,f1828,f891,f638,f579,f274,f284,f294]) ).
fof(f17353,plain,
( e0 = e2
| e1 = e2
| e2 = e3
| ~ spl3_64
| ~ spl3_77
| ~ spl3_110
| ~ spl3_122 ),
inference(duplicate_literal_removal,[],[f17352]) ).
fof(f17352,plain,
( e0 = e2
| e0 = e2
| e1 = e2
| e2 = e3
| ~ spl3_64
| ~ spl3_77
| ~ spl3_110
| ~ spl3_122 ),
inference(forward_demodulation,[],[f17186,f893]) ).
fof(f17186,plain,
( e0 = e2
| e1 = e2
| e2 = e3
| e2 = op(e1,e2)
| ~ spl3_64
| ~ spl3_77
| ~ spl3_122 ),
inference(forward_demodulation,[],[f7736,f581]) ).
fof(f7736,plain,
( e1 = e2
| e2 = e3
| e2 = op(e1,e2)
| e2 = op(e0,e2)
| ~ spl3_77
| ~ spl3_122 ),
inference(forward_demodulation,[],[f7296,f1830]) ).
fof(f17329,plain,
( spl3_6
| spl3_3
| spl3_5
| ~ spl3_93
| ~ spl3_96
| ~ spl3_101
| ~ spl3_115 ),
inference(avatar_split_clause,[],[f17263,f1143,f778,f741,f717,f289,f279,f294]) ).
fof(f778,plain,
( spl3_101
<=> e0 = op(e2,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_101])]) ).
fof(f1143,plain,
( spl3_115
<=> e2 = op(e3,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_115])]) ).
fof(f17263,plain,
( e1 = e3
| e0 = e3
| e2 = e3
| ~ spl3_93
| ~ spl3_96
| ~ spl3_101
| ~ spl3_115 ),
inference(duplicate_literal_removal,[],[f17262]) ).
fof(f17262,plain,
( e1 = e3
| e0 = e3
| e2 = e3
| e1 = e3
| ~ spl3_93
| ~ spl3_96
| ~ spl3_101
| ~ spl3_115 ),
inference(forward_demodulation,[],[f17261,f719]) ).
fof(f719,plain,
( e1 = op(e0,e1)
| ~ spl3_93 ),
inference(avatar_component_clause,[],[f717]) ).
fof(f17261,plain,
( e0 = e3
| e2 = e3
| e1 = e3
| e3 = op(e0,e1)
| ~ spl3_96
| ~ spl3_101
| ~ spl3_115 ),
inference(forward_demodulation,[],[f6497,f780]) ).
fof(f780,plain,
( e0 = op(e2,e1)
| ~ spl3_101 ),
inference(avatar_component_clause,[],[f778]) ).
fof(f6497,plain,
( e2 = e3
| e1 = e3
| e3 = op(e2,e1)
| e3 = op(e0,e1)
| ~ spl3_96
| ~ spl3_115 ),
inference(forward_demodulation,[],[f6370,f1145]) ).
fof(f1145,plain,
( e2 = op(e3,e1)
| ~ spl3_115 ),
inference(avatar_component_clause,[],[f1143]) ).
fof(f6370,plain,
( e1 = e3
| e3 = op(e3,e1)
| e3 = op(e2,e1)
| e3 = op(e0,e1)
| ~ spl3_96 ),
inference(forward_demodulation,[],[f130,f743]) ).
fof(f130,plain,
( e3 = op(e3,e1)
| e3 = op(e2,e1)
| e3 = op(e1,e1)
| e3 = op(e0,e1) ),
inference(cnf_transformation,[],[f2]) ).
fof(f17278,plain,
( ~ spl3_59
| ~ spl3_66
| ~ spl3_92 ),
inference(avatar_split_clause,[],[f9913,f708,f588,f557]) ).
fof(f557,plain,
( spl3_59
<=> sP0 ),
introduced(avatar_definition,[new_symbols(naming,[spl3_59])]) ).
fof(f9913,plain,
( ~ sP0
| ~ spl3_66
| ~ spl3_92 ),
inference(trivial_inequality_removal,[],[f9481]) ).
fof(f9481,plain,
( e0 != e0
| ~ sP0
| ~ spl3_66
| ~ spl3_92 ),
inference(forward_demodulation,[],[f9480,f710]) ).
fof(f9480,plain,
( e0 != op(e3,e0)
| ~ sP0
| ~ spl3_66 ),
inference(forward_demodulation,[],[f174,f590]) ).
fof(f174,plain,
( op(e0,e3) != op(e3,op(e0,e3))
| ~ sP0 ),
inference(cnf_transformation,[],[f60]) ).
fof(f60,plain,
( ( op(e0,e3) != op(e3,op(e0,e3))
& op(e0,e2) != op(e2,op(e0,e2))
& op(e0,e1) != op(e1,op(e0,e1))
& op(e0,e0) != op(e0,op(e0,e0)) )
| ~ sP0 ),
inference(nnf_transformation,[],[f54]) ).
fof(f54,plain,
( ( op(e0,e3) != op(e3,op(e0,e3))
& op(e0,e2) != op(e2,op(e0,e2))
& op(e0,e1) != op(e1,op(e0,e1))
& op(e0,e0) != op(e0,op(e0,e0)) )
| ~ sP0 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
fof(f17200,plain,
( spl3_83
| spl3_4
| spl3_6
| spl3_2
| ~ spl3_82
| ~ spl3_92
| ~ spl3_122 ),
inference(avatar_split_clause,[],[f17183,f1828,f708,f660,f274,f294,f284,f665]) ).
fof(f665,plain,
( spl3_83
<=> e2 = op(e3,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_83])]) ).
fof(f660,plain,
( spl3_82
<=> e3 = op(e3,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_82])]) ).
fof(f17183,plain,
( e0 = e2
| e2 = e3
| e1 = e2
| e2 = op(e3,e3)
| ~ spl3_82
| ~ spl3_92
| ~ spl3_122 ),
inference(forward_demodulation,[],[f17182,f710]) ).
fof(f17182,plain,
( e2 = e3
| e1 = e2
| e2 = op(e3,e3)
| e2 = op(e3,e0)
| ~ spl3_82
| ~ spl3_122 ),
inference(forward_demodulation,[],[f3041,f662]) ).
fof(f662,plain,
( e3 = op(e3,e1)
| ~ spl3_82 ),
inference(avatar_component_clause,[],[f660]) ).
fof(f3041,plain,
( e1 = e2
| e2 = op(e3,e3)
| e2 = op(e3,e1)
| e2 = op(e3,e0)
| ~ spl3_122 ),
inference(forward_demodulation,[],[f143,f1830]) ).
fof(f143,plain,
( e2 = op(e3,e3)
| e2 = op(e3,e2)
| e2 = op(e3,e1)
| e2 = op(e3,e0) ),
inference(cnf_transformation,[],[f2]) ).
fof(f17181,plain,
( spl3_1
| ~ spl3_87
| ~ spl3_101
| ~ spl3_122 ),
inference(avatar_split_clause,[],[f17160,f1828,f778,f684,f269]) ).
fof(f17160,plain,
( e0 = e1
| ~ spl3_87
| ~ spl3_101
| ~ spl3_122 ),
inference(forward_demodulation,[],[f15624,f780]) ).
fof(f15624,plain,
( e1 = op(e2,e1)
| ~ spl3_87
| ~ spl3_122 ),
inference(forward_demodulation,[],[f685,f1830]) ).
fof(f17158,plain,
( spl3_70
| spl3_122
| spl3_5
| spl3_1
| ~ spl3_64
| ~ spl3_77 ),
inference(avatar_split_clause,[],[f7295,f638,f579,f269,f289,f1828,f606]) ).
fof(f606,plain,
( spl3_70
<=> e1 = op(e1,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_70])]) ).
fof(f7295,plain,
( e0 = e1
| e1 = e3
| e1 = op(e3,e2)
| e1 = op(e1,e2)
| ~ spl3_64
| ~ spl3_77 ),
inference(forward_demodulation,[],[f7294,f581]) ).
fof(f7294,plain,
( e1 = e3
| e1 = op(e3,e2)
| e1 = op(e1,e2)
| e1 = op(e0,e2)
| ~ spl3_77 ),
inference(forward_demodulation,[],[f134,f639]) ).
fof(f134,plain,
( e1 = op(e3,e2)
| e1 = op(e2,e2)
| e1 = op(e1,e2)
| e1 = op(e0,e2) ),
inference(cnf_transformation,[],[f2]) ).
fof(f17151,plain,
( spl3_115
| spl3_2
| spl3_4
| ~ spl3_93
| ~ spl3_96
| ~ spl3_101 ),
inference(avatar_split_clause,[],[f17117,f778,f741,f717,f284,f274,f1143]) ).
fof(f17117,plain,
( e1 = e2
| e0 = e2
| e2 = op(e3,e1)
| ~ spl3_93
| ~ spl3_96
| ~ spl3_101 ),
inference(duplicate_literal_removal,[],[f17116]) ).
fof(f17116,plain,
( e1 = e2
| e0 = e2
| e1 = e2
| e2 = op(e3,e1)
| ~ spl3_93
| ~ spl3_96
| ~ spl3_101 ),
inference(forward_demodulation,[],[f17115,f743]) ).
fof(f17115,plain,
( e0 = e2
| e1 = e2
| e2 = op(e3,e1)
| e2 = op(e1,e1)
| ~ spl3_93
| ~ spl3_101 ),
inference(forward_demodulation,[],[f10230,f780]) ).
fof(f10230,plain,
( e1 = e2
| e2 = op(e3,e1)
| e2 = op(e2,e1)
| e2 = op(e1,e1)
| ~ spl3_93 ),
inference(forward_demodulation,[],[f128,f719]) ).
fof(f128,plain,
( e2 = op(e3,e1)
| e2 = op(e2,e1)
| e2 = op(e1,e1)
| e2 = op(e0,e1) ),
inference(cnf_transformation,[],[f2]) ).
fof(f17093,plain,
( spl3_70
| spl3_5
| spl3_4
| spl3_1
| ~ spl3_77
| ~ spl3_104
| ~ spl3_116 ),
inference(avatar_split_clause,[],[f17073,f1173,f799,f638,f269,f284,f289,f606]) ).
fof(f17073,plain,
( e0 = e1
| e1 = e2
| e1 = e3
| e1 = op(e1,e2)
| ~ spl3_77
| ~ spl3_104
| ~ spl3_116 ),
inference(forward_demodulation,[],[f10026,f1175]) ).
fof(f10026,plain,
( e1 = e2
| e1 = e3
| e1 = op(e3,e2)
| e1 = op(e1,e2)
| ~ spl3_77
| ~ spl3_104 ),
inference(forward_demodulation,[],[f5413,f801]) ).
fof(f801,plain,
( e2 = op(e0,e2)
| ~ spl3_104 ),
inference(avatar_component_clause,[],[f799]) ).
fof(f5413,plain,
( e1 = e3
| e1 = op(e3,e2)
| e1 = op(e1,e2)
| e1 = op(e0,e2)
| ~ spl3_77 ),
inference(forward_demodulation,[],[f134,f639]) ).
fof(f17028,plain,
( spl3_70
| spl3_5
| spl3_1
| ~ spl3_77
| ~ spl3_108
| ~ spl3_116 ),
inference(avatar_split_clause,[],[f16978,f1173,f827,f638,f269,f289,f606]) ).
fof(f16978,plain,
( e0 = e1
| e1 = e3
| e1 = op(e1,e2)
| ~ spl3_77
| ~ spl3_108
| ~ spl3_116 ),
inference(forward_demodulation,[],[f16488,f1175]) ).
fof(f16488,plain,
( e1 = e3
| e1 = op(e3,e2)
| e1 = op(e1,e2)
| ~ spl3_77
| ~ spl3_108 ),
inference(duplicate_literal_removal,[],[f16487]) ).
fof(f16487,plain,
( e1 = e3
| e1 = e3
| e1 = op(e3,e2)
| e1 = op(e1,e2)
| ~ spl3_77
| ~ spl3_108 ),
inference(forward_demodulation,[],[f7294,f829]) ).
fof(f829,plain,
( e3 = op(e0,e2)
| ~ spl3_108 ),
inference(avatar_component_clause,[],[f827]) ).
fof(f17000,plain,
( spl3_3
| spl3_5
| spl3_6
| ~ spl3_78
| ~ spl3_81
| ~ spl3_105
| ~ spl3_111 ),
inference(avatar_split_clause,[],[f16972,f895,f803,f656,f642,f294,f289,f279]) ).
fof(f16972,plain,
( e2 = e3
| e1 = e3
| e0 = e3
| ~ spl3_78
| ~ spl3_81
| ~ spl3_105
| ~ spl3_111 ),
inference(duplicate_literal_removal,[],[f16971]) ).
fof(f16971,plain,
( e2 = e3
| e1 = e3
| e0 = e3
| e2 = e3
| ~ spl3_78
| ~ spl3_81
| ~ spl3_105
| ~ spl3_111 ),
inference(forward_demodulation,[],[f16970,f805]) ).
fof(f16970,plain,
( e1 = e3
| e0 = e3
| e2 = e3
| e3 = op(e0,e3)
| ~ spl3_78
| ~ spl3_81
| ~ spl3_111 ),
inference(forward_demodulation,[],[f15837,f657]) ).
fof(f657,plain,
( e1 = op(e3,e3)
| ~ spl3_81 ),
inference(avatar_component_clause,[],[f656]) ).
fof(f15837,plain,
( e0 = e3
| e2 = e3
| e3 = op(e3,e3)
| e3 = op(e0,e3)
| ~ spl3_78
| ~ spl3_111 ),
inference(forward_demodulation,[],[f1381,f897]) ).
fof(f897,plain,
( e0 = op(e1,e3)
| ~ spl3_111 ),
inference(avatar_component_clause,[],[f895]) ).
fof(f1381,plain,
( e2 = e3
| e3 = op(e3,e3)
| e3 = op(e1,e3)
| e3 = op(e0,e3)
| ~ spl3_78 ),
inference(forward_demodulation,[],[f146,f644]) ).
fof(f146,plain,
( e3 = op(e3,e3)
| e3 = op(e2,e3)
| e3 = op(e1,e3)
| e3 = op(e0,e3) ),
inference(cnf_transformation,[],[f2]) ).
fof(f16951,plain,
( ~ spl3_120
| ~ spl3_108
| spl3_137 ),
inference(avatar_split_clause,[],[f13918,f13412,f827,f1300]) ).
fof(f1300,plain,
( spl3_120
<=> e3 = op(e2,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_120])]) ).
fof(f13412,plain,
( spl3_137
<=> op(e0,e2) = op(e2,op(e0,e2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_137])]) ).
fof(f13918,plain,
( e3 != op(e2,e3)
| ~ spl3_108
| spl3_137 ),
inference(superposition,[],[f13414,f829]) ).
fof(f13414,plain,
( op(e0,e2) != op(e2,op(e0,e2))
| spl3_137 ),
inference(avatar_component_clause,[],[f13412]) ).
fof(f16948,plain,
( spl3_5
| ~ spl3_81
| ~ spl3_120
| ~ spl3_129 ),
inference(avatar_split_clause,[],[f16938,f5399,f1300,f656,f289]) ).
fof(f16938,plain,
( e1 = e3
| ~ spl3_81
| ~ spl3_120
| ~ spl3_129 ),
inference(forward_demodulation,[],[f16937,f657]) ).
fof(f16937,plain,
( e3 = op(e3,e3)
| ~ spl3_120
| ~ spl3_129 ),
inference(superposition,[],[f5400,f1302]) ).
fof(f1302,plain,
( e3 = op(e2,e3)
| ~ spl3_120 ),
inference(avatar_component_clause,[],[f1300]) ).
fof(f16836,plain,
( ~ spl3_73
| ~ spl3_134
| ~ spl3_61 ),
inference(avatar_split_clause,[],[f16666,f566,f7304,f620]) ).
fof(f620,plain,
( spl3_73
<=> e0 = op(e2,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_73])]) ).
fof(f7304,plain,
( spl3_134
<=> e3 = op(e2,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_134])]) ).
fof(f16666,plain,
( e3 != op(e2,e1)
| e0 != op(e2,e2)
| ~ spl3_61 ),
inference(trivial_inequality_removal,[],[f16665]) ).
fof(f16665,plain,
( e1 != e1
| e3 != op(e2,e1)
| e0 != op(e2,e2)
| ~ spl3_61 ),
inference(forward_demodulation,[],[f235,f567]) ).
fof(f235,plain,
( e3 != op(e2,e1)
| e0 != op(e2,e2)
| op(e0,e0) != e1 ),
inference(inner_rewriting,[],[f234]) ).
fof(f234,plain,
( e3 != op(e2,op(e0,e0))
| e0 != op(e2,e2)
| op(e0,e0) != e1 ),
inference(inner_rewriting,[],[f203]) ).
fof(f203,plain,
( e3 != op(e2,op(op(e2,e2),op(e2,e2)))
| e0 != op(e2,e2)
| e1 != op(op(e2,e2),op(e2,e2)) ),
inference(cnf_transformation,[],[f37]) ).
fof(f37,plain,
( e3 != op(e2,op(op(e2,e2),op(e2,e2)))
| e0 != op(e2,e2)
| e1 != op(op(e2,e2),op(e2,e2)) ),
inference(ennf_transformation,[],[f13]) ).
fof(f13,axiom,
~ ( e3 = op(e2,op(op(e2,e2),op(e2,e2)))
& e0 = op(e2,e2)
& e1 = op(op(e2,e2),op(e2,e2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax13) ).
fof(f16827,plain,
( spl3_114
| ~ spl3_125
| ~ spl3_129 ),
inference(avatar_split_clause,[],[f15755,f5399,f2759,f1126]) ).
fof(f2759,plain,
( spl3_125
<=> e1 = op(e2,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_125])]) ).
fof(f15755,plain,
( e1 = op(e3,e1)
| ~ spl3_125
| ~ spl3_129 ),
inference(forward_demodulation,[],[f5400,f2760]) ).
fof(f2760,plain,
( e1 = op(e2,e3)
| ~ spl3_125 ),
inference(avatar_component_clause,[],[f2759]) ).
fof(f16762,plain,
( spl3_122
| spl3_1
| spl3_4
| spl3_5
| ~ spl3_73
| ~ spl3_108
| ~ spl3_126 ),
inference(avatar_split_clause,[],[f16743,f3399,f827,f620,f289,f284,f269,f1828]) ).
fof(f16743,plain,
( e1 = e3
| e1 = e2
| e0 = e1
| e1 = op(e3,e2)
| ~ spl3_73
| ~ spl3_108
| ~ spl3_126 ),
inference(forward_demodulation,[],[f7592,f829]) ).
fof(f7592,plain,
( e1 = e2
| e0 = e1
| e1 = op(e3,e2)
| e1 = op(e0,e2)
| ~ spl3_73
| ~ spl3_126 ),
inference(forward_demodulation,[],[f6474,f3401]) ).
fof(f6474,plain,
( e0 = e1
| e1 = op(e3,e2)
| e1 = op(e1,e2)
| e1 = op(e0,e2)
| ~ spl3_73 ),
inference(forward_demodulation,[],[f134,f621]) ).
fof(f621,plain,
( e0 = op(e2,e2)
| ~ spl3_73 ),
inference(avatar_component_clause,[],[f620]) ).
fof(f16752,plain,
( spl3_121
| spl3_6
| spl3_4
| spl3_2
| ~ spl3_81
| ~ spl3_82
| ~ spl3_92 ),
inference(avatar_split_clause,[],[f16704,f708,f660,f656,f274,f284,f294,f1800]) ).
fof(f16704,plain,
( e0 = e2
| e1 = e2
| e2 = e3
| e2 = op(e3,e2)
| ~ spl3_81
| ~ spl3_82
| ~ spl3_92 ),
inference(forward_demodulation,[],[f12330,f710]) ).
fof(f12330,plain,
( e1 = e2
| e2 = e3
| e2 = op(e3,e2)
| e2 = op(e3,e0)
| ~ spl3_81
| ~ spl3_82 ),
inference(forward_demodulation,[],[f4700,f657]) ).
fof(f4700,plain,
( e2 = e3
| e2 = op(e3,e3)
| e2 = op(e3,e2)
| e2 = op(e3,e0)
| ~ spl3_82 ),
inference(forward_demodulation,[],[f143,f662]) ).
fof(f16742,plain,
( spl3_126
| spl3_6
| spl3_2
| spl3_4
| ~ spl3_96
| ~ spl3_111
| ~ spl3_117 ),
inference(avatar_split_clause,[],[f15959,f1184,f895,f741,f284,f274,f294,f3399]) ).
fof(f15959,plain,
( e1 = e2
| e0 = e2
| e2 = e3
| e2 = op(e1,e2)
| ~ spl3_96
| ~ spl3_111
| ~ spl3_117 ),
inference(forward_demodulation,[],[f15958,f743]) ).
fof(f15958,plain,
( e0 = e2
| e2 = e3
| e2 = op(e1,e2)
| e2 = op(e1,e1)
| ~ spl3_111
| ~ spl3_117 ),
inference(forward_demodulation,[],[f10396,f897]) ).
fof(f10396,plain,
( e2 = e3
| e2 = op(e1,e3)
| e2 = op(e1,e2)
| e2 = op(e1,e1)
| ~ spl3_117 ),
inference(forward_demodulation,[],[f127,f1186]) ).
fof(f127,plain,
( e2 = op(e1,e3)
| e2 = op(e1,e2)
| e2 = op(e1,e1)
| e2 = op(e1,e0) ),
inference(cnf_transformation,[],[f2]) ).
fof(f16686,plain,
( spl3_115
| spl3_6
| spl3_4
| spl3_2
| ~ spl3_62
| ~ spl3_96
| ~ spl3_134 ),
inference(avatar_split_clause,[],[f16668,f7304,f741,f570,f274,f284,f294,f1143]) ).
fof(f570,plain,
( spl3_62
<=> e0 = op(e0,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_62])]) ).
fof(f16668,plain,
( e0 = e2
| e1 = e2
| e2 = e3
| e2 = op(e3,e1)
| ~ spl3_62
| ~ spl3_96
| ~ spl3_134 ),
inference(forward_demodulation,[],[f14086,f572]) ).
fof(f572,plain,
( e0 = op(e0,e1)
| ~ spl3_62 ),
inference(avatar_component_clause,[],[f570]) ).
fof(f14086,plain,
( e1 = e2
| e2 = e3
| e2 = op(e3,e1)
| e2 = op(e0,e1)
| ~ spl3_96
| ~ spl3_134 ),
inference(forward_demodulation,[],[f14085,f743]) ).
fof(f14085,plain,
( e2 = e3
| e2 = op(e3,e1)
| e2 = op(e1,e1)
| e2 = op(e0,e1)
| ~ spl3_134 ),
inference(forward_demodulation,[],[f128,f7305]) ).
fof(f7305,plain,
( e3 = op(e2,e1)
| ~ spl3_134 ),
inference(avatar_component_clause,[],[f7304]) ).
fof(f16658,plain,
( spl3_111
| spl3_79
| spl3_3
| spl3_2
| ~ spl3_105
| ~ spl3_120 ),
inference(avatar_split_clause,[],[f14131,f1300,f803,f274,f279,f647,f895]) ).
fof(f14131,plain,
( e0 = e2
| e0 = e3
| e0 = op(e3,e3)
| e0 = op(e1,e3)
| ~ spl3_105
| ~ spl3_120 ),
inference(forward_demodulation,[],[f5999,f805]) ).
fof(f5999,plain,
( e0 = e3
| e0 = op(e3,e3)
| e0 = op(e1,e3)
| e0 = op(e0,e3)
| ~ spl3_120 ),
inference(forward_demodulation,[],[f140,f1302]) ).
fof(f16581,plain,
( spl3_98
| spl3_5
| spl3_6
| ~ spl3_78
| ~ spl3_95
| ~ spl3_123 ),
inference(avatar_split_clause,[],[f16529,f1981,f725,f642,f294,f289,f749]) ).
fof(f16529,plain,
( e2 = e3
| e1 = e3
| e3 = op(e3,e3)
| ~ spl3_78
| ~ spl3_95
| ~ spl3_123 ),
inference(duplicate_literal_removal,[],[f16528]) ).
fof(f16528,plain,
( e2 = e3
| e1 = e3
| e2 = e3
| e3 = op(e3,e3)
| ~ spl3_78
| ~ spl3_95
| ~ spl3_123 ),
inference(forward_demodulation,[],[f14345,f644]) ).
fof(f14345,plain,
( e1 = e3
| e2 = e3
| e3 = op(e3,e3)
| e3 = op(e2,e3)
| ~ spl3_95
| ~ spl3_123 ),
inference(forward_demodulation,[],[f2495,f727]) ).
fof(f2495,plain,
( e2 = e3
| e3 = op(e3,e3)
| e3 = op(e2,e3)
| e3 = op(e0,e3)
| ~ spl3_123 ),
inference(forward_demodulation,[],[f146,f1983]) ).
fof(f16525,plain,
( spl3_110
| spl3_116
| spl3_3
| ~ spl3_77
| ~ spl3_108 ),
inference(avatar_split_clause,[],[f16484,f827,f638,f279,f1173,f891]) ).
fof(f16484,plain,
( e0 = e3
| e0 = op(e3,e2)
| e0 = op(e1,e2)
| ~ spl3_77
| ~ spl3_108 ),
inference(duplicate_literal_removal,[],[f16483]) ).
fof(f16483,plain,
( e0 = e3
| e0 = e3
| e0 = op(e3,e2)
| e0 = op(e1,e2)
| ~ spl3_77
| ~ spl3_108 ),
inference(forward_demodulation,[],[f10032,f829]) ).
fof(f10032,plain,
( e0 = e3
| e0 = op(e3,e2)
| e0 = op(e1,e2)
| e0 = op(e0,e2)
| ~ spl3_77 ),
inference(forward_demodulation,[],[f132,f639]) ).
fof(f132,plain,
( e0 = op(e3,e2)
| e0 = op(e2,e2)
| e0 = op(e1,e2)
| e0 = op(e0,e2) ),
inference(cnf_transformation,[],[f2]) ).
fof(f16455,plain,
( spl3_79
| spl3_2
| spl3_3
| spl3_1
| ~ spl3_82
| ~ spl3_100
| ~ spl3_121 ),
inference(avatar_split_clause,[],[f16434,f1800,f768,f660,f269,f279,f274,f647]) ).
fof(f768,plain,
( spl3_100
<=> e1 = op(e3,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_100])]) ).
fof(f16434,plain,
( e0 = e1
| e0 = e3
| e0 = e2
| e0 = op(e3,e3)
| ~ spl3_82
| ~ spl3_100
| ~ spl3_121 ),
inference(forward_demodulation,[],[f16433,f770]) ).
fof(f770,plain,
( e1 = op(e3,e0)
| ~ spl3_100 ),
inference(avatar_component_clause,[],[f768]) ).
fof(f16433,plain,
( e0 = e3
| e0 = e2
| e0 = op(e3,e3)
| e0 = op(e3,e0)
| ~ spl3_82
| ~ spl3_121 ),
inference(forward_demodulation,[],[f9416,f662]) ).
fof(f9416,plain,
( e0 = e2
| e0 = op(e3,e3)
| e0 = op(e3,e1)
| e0 = op(e3,e0)
| ~ spl3_121 ),
inference(forward_demodulation,[],[f139,f1802]) ).
fof(f139,plain,
( e0 = op(e3,e3)
| e0 = op(e3,e2)
| e0 = op(e3,e1)
| e0 = op(e3,e0) ),
inference(cnf_transformation,[],[f2]) ).
fof(f16432,plain,
( spl3_121
| spl3_83
| spl3_6
| spl3_4
| ~ spl3_82
| ~ spl3_100 ),
inference(avatar_split_clause,[],[f9253,f768,f660,f284,f294,f665,f1800]) ).
fof(f9253,plain,
( e1 = e2
| e2 = e3
| e2 = op(e3,e3)
| e2 = op(e3,e2)
| ~ spl3_82
| ~ spl3_100 ),
inference(forward_demodulation,[],[f4700,f770]) ).
fof(f16354,plain,
( ~ spl3_73
| ~ spl3_83
| ~ spl3_100 ),
inference(avatar_split_clause,[],[f225,f768,f665,f620]) ).
fof(f225,plain,
( e1 != op(e3,e0)
| e2 != op(e3,e3)
| e0 != op(e2,e2) ),
inference(inner_rewriting,[],[f224]) ).
fof(f224,plain,
( e1 != op(e3,op(e2,e2))
| e2 != op(e3,e3)
| e0 != op(e2,e2) ),
inference(inner_rewriting,[],[f198]) ).
fof(f198,plain,
( e1 != op(e3,op(op(e3,e3),op(e3,e3)))
| e2 != op(e3,e3)
| e0 != op(op(e3,e3),op(e3,e3)) ),
inference(cnf_transformation,[],[f32]) ).
fof(f32,plain,
( e1 != op(e3,op(op(e3,e3),op(e3,e3)))
| e2 != op(e3,e3)
| e0 != op(op(e3,e3),op(e3,e3)) ),
inference(ennf_transformation,[],[f8]) ).
fof(f8,axiom,
~ ( e1 = op(e3,op(op(e3,e3),op(e3,e3)))
& e2 = op(e3,e3)
& e0 = op(op(e3,e3),op(e3,e3)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax8) ).
fof(f16209,plain,
( spl3_71
| spl3_5
| spl3_6
| spl3_3
| ~ spl3_101
| ~ spl3_103
| ~ spl3_114 ),
inference(avatar_split_clause,[],[f15100,f1126,f795,f778,f279,f294,f289,f611]) ).
fof(f611,plain,
( spl3_71
<=> e3 = op(e1,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_71])]) ).
fof(f15100,plain,
( e0 = e3
| e2 = e3
| e1 = e3
| e3 = op(e1,e1)
| ~ spl3_101
| ~ spl3_103
| ~ spl3_114 ),
inference(forward_demodulation,[],[f13293,f780]) ).
fof(f13293,plain,
( e2 = e3
| e1 = e3
| e3 = op(e2,e1)
| e3 = op(e1,e1)
| ~ spl3_103
| ~ spl3_114 ),
inference(forward_demodulation,[],[f1149,f797]) ).
fof(f797,plain,
( e2 = op(e0,e1)
| ~ spl3_103 ),
inference(avatar_component_clause,[],[f795]) ).
fof(f1149,plain,
( e1 = e3
| e3 = op(e2,e1)
| e3 = op(e1,e1)
| e3 = op(e0,e1)
| ~ spl3_114 ),
inference(forward_demodulation,[],[f130,f1128]) ).
fof(f16134,plain,
( ~ spl3_81
| ~ spl3_101
| ~ spl3_77 ),
inference(avatar_split_clause,[],[f16126,f638,f778,f656]) ).
fof(f16126,plain,
( e0 != op(e2,e1)
| e1 != op(e3,e3)
| ~ spl3_77 ),
inference(trivial_inequality_removal,[],[f16125]) ).
fof(f16125,plain,
( e3 != e3
| e0 != op(e2,e1)
| e1 != op(e3,e3)
| ~ spl3_77 ),
inference(forward_demodulation,[],[f241,f639]) ).
fof(f241,plain,
( e0 != op(e2,e1)
| e3 != op(e2,e2)
| e1 != op(e3,e3) ),
inference(inner_rewriting,[],[f240]) ).
fof(f240,plain,
( e0 != op(e2,op(e3,e3))
| e3 != op(e2,e2)
| e1 != op(e3,e3) ),
inference(inner_rewriting,[],[f206]) ).
fof(f206,plain,
( e0 != op(e2,op(op(e2,e2),op(e2,e2)))
| e3 != op(e2,e2)
| e1 != op(op(e2,e2),op(e2,e2)) ),
inference(cnf_transformation,[],[f40]) ).
fof(f40,plain,
( e0 != op(e2,op(op(e2,e2),op(e2,e2)))
| e3 != op(e2,e2)
| e1 != op(op(e2,e2),op(e2,e2)) ),
inference(ennf_transformation,[],[f16]) ).
fof(f16,axiom,
~ ( e0 = op(e2,op(op(e2,e2),op(e2,e2)))
& e3 = op(e2,e2)
& e1 = op(op(e2,e2),op(e2,e2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax16) ).
fof(f16124,plain,
( spl3_101
| spl3_124
| spl3_3
| spl3_1
| ~ spl3_77
| ~ spl3_99 ),
inference(avatar_split_clause,[],[f9645,f764,f638,f269,f279,f2038,f778]) ).
fof(f9645,plain,
( e0 = e1
| e0 = e3
| e0 = op(e2,e3)
| e0 = op(e2,e1)
| ~ spl3_77
| ~ spl3_99 ),
inference(forward_demodulation,[],[f9412,f766]) ).
fof(f9412,plain,
( e0 = e3
| e0 = op(e2,e3)
| e0 = op(e2,e1)
| e0 = op(e2,e0)
| ~ spl3_77 ),
inference(forward_demodulation,[],[f131,f639]) ).
fof(f131,plain,
( e0 = op(e2,e3)
| e0 = op(e2,e2)
| e0 = op(e2,e1)
| e0 = op(e2,e0) ),
inference(cnf_transformation,[],[f2]) ).
fof(f16116,plain,
( spl3_96
| spl3_4
| spl3_1
| spl3_5
| ~ spl3_111
| ~ spl3_117
| ~ spl3_126 ),
inference(avatar_split_clause,[],[f16073,f3399,f1184,f895,f289,f269,f284,f741]) ).
fof(f16073,plain,
( e1 = e3
| e0 = e1
| e1 = e2
| e1 = op(e1,e1)
| ~ spl3_111
| ~ spl3_117
| ~ spl3_126 ),
inference(forward_demodulation,[],[f16072,f1186]) ).
fof(f16072,plain,
( e0 = e1
| e1 = e2
| e1 = op(e1,e1)
| e1 = op(e1,e0)
| ~ spl3_111
| ~ spl3_126 ),
inference(forward_demodulation,[],[f3614,f897]) ).
fof(f3614,plain,
( e1 = e2
| e1 = op(e1,e3)
| e1 = op(e1,e1)
| e1 = op(e1,e0)
| ~ spl3_126 ),
inference(forward_demodulation,[],[f125,f3401]) ).
fof(f125,plain,
( e1 = op(e1,e3)
| e1 = op(e1,e2)
| e1 = op(e1,e1)
| e1 = op(e1,e0) ),
inference(cnf_transformation,[],[f2]) ).
fof(f16081,plain,
( spl3_81
| spl3_5
| spl3_4
| spl3_1
| ~ spl3_78
| ~ spl3_109
| ~ spl3_111 ),
inference(avatar_split_clause,[],[f15998,f895,f831,f642,f269,f284,f289,f656]) ).
fof(f831,plain,
( spl3_109
<=> e3 = op(e0,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_109])]) ).
fof(f15998,plain,
( e0 = e1
| e1 = e2
| e1 = e3
| e1 = op(e3,e3)
| ~ spl3_78
| ~ spl3_109
| ~ spl3_111 ),
inference(forward_demodulation,[],[f15997,f897]) ).
fof(f15997,plain,
( e1 = e2
| e1 = e3
| e1 = op(e3,e3)
| e1 = op(e1,e3)
| ~ spl3_78
| ~ spl3_109 ),
inference(forward_demodulation,[],[f6167,f644]) ).
fof(f6167,plain,
( e1 = e3
| e1 = op(e3,e3)
| e1 = op(e2,e3)
| e1 = op(e1,e3)
| ~ spl3_109 ),
inference(forward_demodulation,[],[f142,f833]) ).
fof(f833,plain,
( e3 = op(e0,e3)
| ~ spl3_109 ),
inference(avatar_component_clause,[],[f831]) ).
fof(f16068,plain,
( spl3_126
| spl3_6
| spl3_2
| spl3_4
| ~ spl3_77
| ~ spl3_94
| ~ spl3_116 ),
inference(avatar_split_clause,[],[f15840,f1173,f721,f638,f284,f274,f294,f3399]) ).
fof(f721,plain,
( spl3_94
<=> e1 = op(e0,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_94])]) ).
fof(f15840,plain,
( e1 = e2
| e0 = e2
| e2 = e3
| e2 = op(e1,e2)
| ~ spl3_77
| ~ spl3_94
| ~ spl3_116 ),
inference(forward_demodulation,[],[f15839,f723]) ).
fof(f723,plain,
( e1 = op(e0,e2)
| ~ spl3_94 ),
inference(avatar_component_clause,[],[f721]) ).
fof(f15839,plain,
( e0 = e2
| e2 = e3
| e2 = op(e1,e2)
| e2 = op(e0,e2)
| ~ spl3_77
| ~ spl3_116 ),
inference(forward_demodulation,[],[f7296,f1175]) ).
fof(f16058,plain,
( spl3_134
| spl3_6
| spl3_5
| ~ spl3_96
| ~ spl3_103
| ~ spl3_114 ),
inference(avatar_split_clause,[],[f16006,f1126,f795,f741,f289,f294,f7304]) ).
fof(f16006,plain,
( e1 = e3
| e2 = e3
| e3 = op(e2,e1)
| ~ spl3_96
| ~ spl3_103
| ~ spl3_114 ),
inference(duplicate_literal_removal,[],[f16005]) ).
fof(f16005,plain,
( e1 = e3
| e2 = e3
| e1 = e3
| e3 = op(e2,e1)
| ~ spl3_96
| ~ spl3_103
| ~ spl3_114 ),
inference(forward_demodulation,[],[f12892,f1128]) ).
fof(f12892,plain,
( e2 = e3
| e1 = e3
| e3 = op(e3,e1)
| e3 = op(e2,e1)
| ~ spl3_96
| ~ spl3_103 ),
inference(forward_demodulation,[],[f6370,f797]) ).
fof(f15927,plain,
( spl3_6
| spl3_2
| spl3_4
| ~ spl3_77
| ~ spl3_94
| ~ spl3_106
| ~ spl3_116 ),
inference(avatar_split_clause,[],[f15846,f1173,f816,f721,f638,f284,f274,f294]) ).
fof(f816,plain,
( spl3_106
<=> e3 = op(e1,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_106])]) ).
fof(f15846,plain,
( e1 = e2
| e0 = e2
| e2 = e3
| ~ spl3_77
| ~ spl3_94
| ~ spl3_106
| ~ spl3_116 ),
inference(forward_demodulation,[],[f5316,f723]) ).
fof(f5316,plain,
( e0 = e2
| e2 = e3
| e2 = op(e0,e2)
| ~ spl3_77
| ~ spl3_106
| ~ spl3_116 ),
inference(forward_demodulation,[],[f3160,f1175]) ).
fof(f3160,plain,
( e2 = e3
| e2 = op(e3,e2)
| e2 = op(e0,e2)
| ~ spl3_77
| ~ spl3_106 ),
inference(duplicate_literal_removal,[],[f3159]) ).
fof(f3159,plain,
( e2 = e3
| e2 = e3
| e2 = op(e3,e2)
| e2 = op(e0,e2)
| ~ spl3_77
| ~ spl3_106 ),
inference(forward_demodulation,[],[f2230,f639]) ).
fof(f2230,plain,
( e2 = e3
| e2 = op(e3,e2)
| e2 = op(e2,e2)
| e2 = op(e0,e2)
| ~ spl3_106 ),
inference(forward_demodulation,[],[f136,f817]) ).
fof(f817,plain,
( e3 = op(e1,e2)
| ~ spl3_106 ),
inference(avatar_component_clause,[],[f816]) ).
fof(f15917,plain,
( ~ spl3_120
| ~ spl3_106
| spl3_132 ),
inference(avatar_split_clause,[],[f15737,f6106,f816,f1300]) ).
fof(f15737,plain,
( e3 != op(e2,e3)
| ~ spl3_106
| spl3_132 ),
inference(forward_demodulation,[],[f6108,f817]) ).
fof(f6108,plain,
( op(e1,e2) != op(e2,op(e1,e2))
| spl3_132 ),
inference(avatar_component_clause,[],[f6106]) ).
fof(f15854,plain,
( ~ spl3_57
| ~ spl3_96 ),
inference(avatar_split_clause,[],[f14214,f741,f548]) ).
fof(f548,plain,
( spl3_57
<=> sP1 ),
introduced(avatar_definition,[new_symbols(naming,[spl3_57])]) ).
fof(f14214,plain,
( ~ sP1
| ~ spl3_96 ),
inference(trivial_inequality_removal,[],[f4520]) ).
fof(f4520,plain,
( e1 != e1
| ~ sP1
| ~ spl3_96 ),
inference(forward_demodulation,[],[f4519,f743]) ).
fof(f4519,plain,
( e1 != op(e1,e1)
| ~ sP1
| ~ spl3_96 ),
inference(forward_demodulation,[],[f168,f743]) ).
fof(f168,plain,
( op(e1,e1) != op(e1,op(e1,e1))
| ~ sP1 ),
inference(cnf_transformation,[],[f59]) ).
fof(f59,plain,
( ( op(e1,e3) != op(e3,op(e1,e3))
& op(e1,e2) != op(e2,op(e1,e2))
& op(e1,e1) != op(e1,op(e1,e1))
& op(e1,e0) != op(e0,op(e1,e0)) )
| ~ sP1 ),
inference(nnf_transformation,[],[f55]) ).
fof(f55,plain,
( ( op(e1,e3) != op(e3,op(e1,e3))
& op(e1,e2) != op(e2,op(e1,e2))
& op(e1,e1) != op(e1,op(e1,e1))
& op(e1,e0) != op(e0,op(e1,e0)) )
| ~ sP1 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])]) ).
fof(f15756,plain,
( ~ spl3_121
| ~ spl3_123
| spl3_131 ),
inference(avatar_split_clause,[],[f15540,f6037,f1981,f1800]) ).
fof(f15540,plain,
( e2 != op(e3,e2)
| ~ spl3_123
| spl3_131 ),
inference(superposition,[],[f6039,f1983]) ).
fof(f6039,plain,
( op(e1,e3) != op(e3,op(e1,e3))
| spl3_131 ),
inference(avatar_component_clause,[],[f6037]) ).
fof(f15753,plain,
( ~ spl3_114
| ~ spl3_125
| spl3_129 ),
inference(avatar_split_clause,[],[f14693,f5399,f2759,f1126]) ).
fof(f14693,plain,
( e1 != op(e3,e1)
| ~ spl3_125
| spl3_129 ),
inference(superposition,[],[f5401,f2760]) ).
fof(f5401,plain,
( op(e2,e3) != op(e3,op(e2,e3))
| spl3_129 ),
inference(avatar_component_clause,[],[f5399]) ).
fof(f15751,plain,
( ~ spl3_107
| spl3_35
| ~ spl3_109 ),
inference(avatar_split_clause,[],[f11401,f831,f439,f823]) ).
fof(f823,plain,
( spl3_107
<=> e3 = op(e0,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_107])]) ).
fof(f11401,plain,
( e3 != op(e0,e1)
| spl3_35
| ~ spl3_109 ),
inference(superposition,[],[f441,f833]) ).
fof(f15749,plain,
( ~ spl3_115
| spl3_52
| ~ spl3_121 ),
inference(avatar_split_clause,[],[f9376,f1800,f524,f1143]) ).
fof(f524,plain,
( spl3_52
<=> op(e3,e1) = op(e3,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_52])]) ).
fof(f9376,plain,
( e2 != op(e3,e1)
| spl3_52
| ~ spl3_121 ),
inference(superposition,[],[f526,f1802]) ).
fof(f526,plain,
( op(e3,e1) != op(e3,e2)
| spl3_52 ),
inference(avatar_component_clause,[],[f524]) ).
fof(f15747,plain,
( ~ spl3_104
| spl3_21
| ~ spl3_121 ),
inference(avatar_split_clause,[],[f9372,f1800,f369,f799]) ).
fof(f369,plain,
( spl3_21
<=> op(e0,e2) = op(e3,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_21])]) ).
fof(f9372,plain,
( e2 != op(e0,e2)
| spl3_21
| ~ spl3_121 ),
inference(superposition,[],[f371,f1802]) ).
fof(f371,plain,
( op(e0,e2) != op(e3,e2)
| spl3_21 ),
inference(avatar_component_clause,[],[f369]) ).
fof(f15735,plain,
( spl3_120
| ~ spl3_106
| ~ spl3_132 ),
inference(avatar_split_clause,[],[f15660,f6106,f816,f1300]) ).
fof(f15660,plain,
( e3 = op(e2,e3)
| ~ spl3_106
| ~ spl3_132 ),
inference(forward_demodulation,[],[f6107,f817]) ).
fof(f15720,plain,
( spl3_4
| spl3_5
| spl3_1
| ~ spl3_79
| ~ spl3_109
| ~ spl3_120
| ~ spl3_123 ),
inference(avatar_split_clause,[],[f15675,f1981,f1300,f831,f647,f269,f289,f284]) ).
fof(f15675,plain,
( e0 = e1
| e1 = e3
| e1 = e2
| ~ spl3_79
| ~ spl3_109
| ~ spl3_120
| ~ spl3_123 ),
inference(forward_demodulation,[],[f5962,f648]) ).
fof(f648,plain,
( e0 = op(e3,e3)
| ~ spl3_79 ),
inference(avatar_component_clause,[],[f647]) ).
fof(f5962,plain,
( e1 = e3
| e1 = e2
| e1 = op(e3,e3)
| ~ spl3_109
| ~ spl3_120
| ~ spl3_123 ),
inference(duplicate_literal_removal,[],[f5961]) ).
fof(f5961,plain,
( e1 = e3
| e1 = e2
| e1 = e3
| e1 = op(e3,e3)
| ~ spl3_109
| ~ spl3_120
| ~ spl3_123 ),
inference(forward_demodulation,[],[f5960,f833]) ).
fof(f5960,plain,
( e1 = e2
| e1 = e3
| e1 = op(e3,e3)
| e1 = op(e0,e3)
| ~ spl3_120
| ~ spl3_123 ),
inference(forward_demodulation,[],[f4995,f1983]) ).
fof(f4995,plain,
( e1 = e3
| e1 = op(e3,e3)
| e1 = op(e1,e3)
| e1 = op(e0,e3)
| ~ spl3_120 ),
inference(forward_demodulation,[],[f142,f1302]) ).
fof(f15686,plain,
( ~ spl3_57
| ~ spl3_106
| ~ spl3_120 ),
inference(avatar_split_clause,[],[f15659,f1300,f816,f548]) ).
fof(f15659,plain,
( ~ sP1
| ~ spl3_106
| ~ spl3_120 ),
inference(trivial_inequality_removal,[],[f15658]) ).
fof(f15658,plain,
( e3 != e3
| ~ sP1
| ~ spl3_106
| ~ spl3_120 ),
inference(forward_demodulation,[],[f5893,f1302]) ).
fof(f5893,plain,
( e3 != op(e2,e3)
| ~ sP1
| ~ spl3_106 ),
inference(forward_demodulation,[],[f169,f817]) ).
fof(f169,plain,
( op(e1,e2) != op(e2,op(e1,e2))
| ~ sP1 ),
inference(cnf_transformation,[],[f59]) ).
fof(f15625,plain,
( ~ spl3_120
| ~ spl3_106
| spl3_132 ),
inference(avatar_split_clause,[],[f15525,f6106,f816,f1300]) ).
fof(f15525,plain,
( e3 != op(e2,e3)
| ~ spl3_106
| spl3_132 ),
inference(superposition,[],[f6108,f817]) ).
fof(f15623,plain,
( ~ spl3_127
| spl3_87
| ~ spl3_122 ),
inference(avatar_split_clause,[],[f15312,f1828,f684,f4493]) ).
fof(f4493,plain,
( spl3_127
<=> e1 = op(e2,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_127])]) ).
fof(f15312,plain,
( e1 != op(e2,e1)
| spl3_87
| ~ spl3_122 ),
inference(superposition,[],[f686,f1830]) ).
fof(f686,plain,
( op(e3,e2) != op(e2,op(e3,e2))
| spl3_87 ),
inference(avatar_component_clause,[],[f684]) ).
fof(f15621,plain,
( ~ spl3_94
| spl3_21
| ~ spl3_122 ),
inference(avatar_split_clause,[],[f15292,f1828,f369,f721]) ).
fof(f15292,plain,
( e1 != op(e0,e2)
| spl3_21
| ~ spl3_122 ),
inference(superposition,[],[f371,f1830]) ).
fof(f15619,plain,
( ~ spl3_134
| spl3_47
| ~ spl3_120 ),
inference(avatar_split_clause,[],[f14910,f1300,f499,f7304]) ).
fof(f499,plain,
( spl3_47
<=> op(e2,e1) = op(e2,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_47])]) ).
fof(f14910,plain,
( e3 != op(e2,e1)
| spl3_47
| ~ spl3_120 ),
inference(superposition,[],[f501,f1302]) ).
fof(f501,plain,
( op(e2,e1) != op(e2,e3)
| spl3_47 ),
inference(avatar_component_clause,[],[f499]) ).
fof(f15617,plain,
( ~ spl3_126
| spl3_42
| ~ spl3_123 ),
inference(avatar_split_clause,[],[f14317,f1981,f474,f3399]) ).
fof(f474,plain,
( spl3_42
<=> op(e1,e2) = op(e1,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_42])]) ).
fof(f14317,plain,
( e2 != op(e1,e2)
| spl3_42
| ~ spl3_123 ),
inference(superposition,[],[f476,f1983]) ).
fof(f476,plain,
( op(e1,e2) != op(e1,e3)
| spl3_42 ),
inference(avatar_component_clause,[],[f474]) ).
fof(f15615,plain,
( ~ spl3_105
| spl3_25
| ~ spl3_123 ),
inference(avatar_split_clause,[],[f13641,f1981,f389,f803]) ).
fof(f389,plain,
( spl3_25
<=> op(e0,e3) = op(e1,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_25])]) ).
fof(f13641,plain,
( e2 != op(e0,e3)
| spl3_25
| ~ spl3_123 ),
inference(superposition,[],[f391,f1983]) ).
fof(f391,plain,
( op(e0,e3) != op(e1,e3)
| spl3_25 ),
inference(avatar_component_clause,[],[f389]) ).
fof(f15608,plain,
( spl3_127
| spl3_114
| spl3_1
| spl3_5
| ~ spl3_67
| ~ spl3_107 ),
inference(avatar_split_clause,[],[f12783,f823,f593,f289,f269,f1126,f4493]) ).
fof(f593,plain,
( spl3_67
<=> e0 = op(e1,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_67])]) ).
fof(f12783,plain,
( e1 = e3
| e0 = e1
| e1 = op(e3,e1)
| e1 = op(e2,e1)
| ~ spl3_67
| ~ spl3_107 ),
inference(forward_demodulation,[],[f851,f825]) ).
fof(f825,plain,
( e3 = op(e0,e1)
| ~ spl3_107 ),
inference(avatar_component_clause,[],[f823]) ).
fof(f851,plain,
( e0 = e1
| e1 = op(e3,e1)
| e1 = op(e2,e1)
| e1 = op(e0,e1)
| ~ spl3_67 ),
inference(forward_demodulation,[],[f126,f594]) ).
fof(f594,plain,
( e0 = op(e1,e1)
| ~ spl3_67 ),
inference(avatar_component_clause,[],[f593]) ).
fof(f126,plain,
( e1 = op(e3,e1)
| e1 = op(e2,e1)
| e1 = op(e1,e1)
| e1 = op(e0,e1) ),
inference(cnf_transformation,[],[f2]) ).
fof(f15602,plain,
( spl3_114
| spl3_5
| spl3_1
| ~ spl3_67
| ~ spl3_107
| ~ spl3_134 ),
inference(avatar_split_clause,[],[f15473,f7304,f823,f593,f269,f289,f1126]) ).
fof(f15473,plain,
( e0 = e1
| e1 = e3
| e1 = op(e3,e1)
| ~ spl3_67
| ~ spl3_107
| ~ spl3_134 ),
inference(forward_demodulation,[],[f14357,f594]) ).
fof(f14357,plain,
( e1 = e3
| e1 = op(e3,e1)
| e1 = op(e1,e1)
| ~ spl3_107
| ~ spl3_134 ),
inference(duplicate_literal_removal,[],[f14356]) ).
fof(f14356,plain,
( e1 = e3
| e1 = e3
| e1 = op(e3,e1)
| e1 = op(e1,e1)
| ~ spl3_107
| ~ spl3_134 ),
inference(forward_demodulation,[],[f13964,f825]) ).
fof(f13964,plain,
( e1 = e3
| e1 = op(e3,e1)
| e1 = op(e1,e1)
| e1 = op(e0,e1)
| ~ spl3_134 ),
inference(forward_demodulation,[],[f126,f7305]) ).
fof(f15597,plain,
( ~ spl3_93
| spl3_58
| ~ spl3_68 ),
inference(avatar_split_clause,[],[f15490,f597,f552,f717]) ).
fof(f15490,plain,
( e1 != op(e0,e1)
| spl3_58
| ~ spl3_68 ),
inference(forward_demodulation,[],[f554,f599]) ).
fof(f554,plain,
( op(e1,e0) != op(e0,op(e1,e0))
| spl3_58 ),
inference(avatar_component_clause,[],[f552]) ).
fof(f15549,plain,
( spl3_5
| spl3_3
| spl3_6
| ~ spl3_79
| ~ spl3_105
| ~ spl3_123
| ~ spl3_125 ),
inference(avatar_split_clause,[],[f15456,f2759,f1981,f803,f647,f294,f279,f289]) ).
fof(f15456,plain,
( e2 = e3
| e0 = e3
| e1 = e3
| ~ spl3_79
| ~ spl3_105
| ~ spl3_123
| ~ spl3_125 ),
inference(duplicate_literal_removal,[],[f15455]) ).
fof(f15455,plain,
( e2 = e3
| e0 = e3
| e2 = e3
| e1 = e3
| ~ spl3_79
| ~ spl3_105
| ~ spl3_123
| ~ spl3_125 ),
inference(forward_demodulation,[],[f15454,f805]) ).
fof(f15454,plain,
( e0 = e3
| e2 = e3
| e1 = e3
| e3 = op(e0,e3)
| ~ spl3_79
| ~ spl3_123
| ~ spl3_125 ),
inference(forward_demodulation,[],[f14364,f648]) ).
fof(f14364,plain,
( e2 = e3
| e1 = e3
| e3 = op(e3,e3)
| e3 = op(e0,e3)
| ~ spl3_123
| ~ spl3_125 ),
inference(forward_demodulation,[],[f12973,f1983]) ).
fof(f12973,plain,
( e1 = e3
| e3 = op(e3,e3)
| e3 = op(e1,e3)
| e3 = op(e0,e3)
| ~ spl3_125 ),
inference(forward_demodulation,[],[f146,f2760]) ).
fof(f15544,plain,
( spl3_119
| ~ spl3_133
| ~ spl3_134 ),
inference(avatar_split_clause,[],[f15452,f7304,f6412,f1247]) ).
fof(f6412,plain,
( spl3_133
<=> op(e2,e1) = op(e1,op(e2,e1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_133])]) ).
fof(f15452,plain,
( e3 = op(e1,e3)
| ~ spl3_133
| ~ spl3_134 ),
inference(forward_demodulation,[],[f6413,f7305]) ).
fof(f6413,plain,
( op(e2,e1) = op(e1,op(e2,e1))
| ~ spl3_133 ),
inference(avatar_component_clause,[],[f6412]) ).
fof(f15542,plain,
( spl3_126
| ~ spl3_86
| ~ spl3_115 ),
inference(avatar_split_clause,[],[f15404,f1143,f679,f3399]) ).
fof(f15404,plain,
( e2 = op(e1,e2)
| ~ spl3_86
| ~ spl3_115 ),
inference(forward_demodulation,[],[f680,f1145]) ).
fof(f15491,plain,
( spl3_6
| ~ spl3_106
| ~ spl3_126 ),
inference(avatar_split_clause,[],[f15489,f3399,f816,f294]) ).
fof(f15489,plain,
( e2 = e3
| ~ spl3_106
| ~ spl3_126 ),
inference(forward_demodulation,[],[f817,f3401]) ).
fof(f15406,plain,
( ~ spl3_119
| spl3_133
| ~ spl3_134 ),
inference(avatar_split_clause,[],[f14701,f7304,f6412,f1247]) ).
fof(f14701,plain,
( e3 != op(e1,e3)
| spl3_133
| ~ spl3_134 ),
inference(superposition,[],[f6414,f7305]) ).
fof(f6414,plain,
( op(e2,e1) != op(e1,op(e2,e1))
| spl3_133 ),
inference(avatar_component_clause,[],[f6412]) ).
fof(f15401,plain,
( ~ spl3_126
| spl3_86
| ~ spl3_115 ),
inference(avatar_split_clause,[],[f15283,f1143,f679,f3399]) ).
fof(f15283,plain,
( e2 != op(e1,e2)
| spl3_86
| ~ spl3_115 ),
inference(superposition,[],[f681,f1145]) ).
fof(f681,plain,
( op(e3,e1) != op(e1,op(e3,e1))
| spl3_86 ),
inference(avatar_component_clause,[],[f679]) ).
fof(f15399,plain,
( ~ spl3_91
| spl3_44
| ~ spl3_73 ),
inference(avatar_split_clause,[],[f15244,f620,f484,f704]) ).
fof(f484,plain,
( spl3_44
<=> op(e2,e0) = op(e2,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_44])]) ).
fof(f15244,plain,
( e0 != op(e2,e0)
| spl3_44
| ~ spl3_73 ),
inference(superposition,[],[f486,f621]) ).
fof(f486,plain,
( op(e2,e0) != op(e2,e2)
| spl3_44 ),
inference(avatar_component_clause,[],[f484]) ).
fof(f15397,plain,
( ~ spl3_99
| spl3_45
| ~ spl3_125 ),
inference(avatar_split_clause,[],[f14688,f2759,f489,f764]) ).
fof(f14688,plain,
( e1 != op(e2,e0)
| spl3_45
| ~ spl3_125 ),
inference(superposition,[],[f491,f2760]) ).
fof(f15395,plain,
( ~ spl3_95
| spl3_26
| ~ spl3_125 ),
inference(avatar_split_clause,[],[f14686,f2759,f394,f725]) ).
fof(f14686,plain,
( e1 != op(e0,e3)
| spl3_26
| ~ spl3_125 ),
inference(superposition,[],[f396,f2760]) ).
fof(f15393,plain,
( ~ spl3_69
| spl3_17
| ~ spl3_115 ),
inference(avatar_split_clause,[],[f14306,f1143,f349,f602]) ).
fof(f602,plain,
( spl3_69
<=> e2 = op(e1,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_69])]) ).
fof(f349,plain,
( spl3_17
<=> op(e1,e1) = op(e3,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_17])]) ).
fof(f14306,plain,
( e2 != op(e1,e1)
| spl3_17
| ~ spl3_115 ),
inference(superposition,[],[f351,f1145]) ).
fof(f351,plain,
( op(e1,e1) != op(e3,e1)
| spl3_17 ),
inference(avatar_component_clause,[],[f349]) ).
fof(f15391,plain,
( ~ spl3_103
| spl3_15
| ~ spl3_115 ),
inference(avatar_split_clause,[],[f14305,f1143,f339,f795]) ).
fof(f339,plain,
( spl3_15
<=> op(e0,e1) = op(e3,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_15])]) ).
fof(f14305,plain,
( e2 != op(e0,e1)
| spl3_15
| ~ spl3_115 ),
inference(superposition,[],[f341,f1145]) ).
fof(f341,plain,
( op(e0,e1) != op(e3,e1)
| spl3_15 ),
inference(avatar_component_clause,[],[f339]) ).
fof(f15389,plain,
( ~ spl3_107
| spl3_34
| ~ spl3_108 ),
inference(avatar_split_clause,[],[f13920,f827,f434,f823]) ).
fof(f434,plain,
( spl3_34
<=> op(e0,e1) = op(e0,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_34])]) ).
fof(f13920,plain,
( e3 != op(e0,e1)
| spl3_34
| ~ spl3_108 ),
inference(superposition,[],[f436,f829]) ).
fof(f436,plain,
( op(e0,e1) != op(e0,e2)
| spl3_34 ),
inference(avatar_component_clause,[],[f434]) ).
fof(f15387,plain,
( ~ spl3_117
| spl3_39
| ~ spl3_119 ),
inference(avatar_split_clause,[],[f13809,f1247,f459,f1184]) ).
fof(f15385,plain,
( ~ spl3_70
| spl3_23
| ~ spl3_122 ),
inference(avatar_split_clause,[],[f13396,f1828,f379,f606]) ).
fof(f379,plain,
( spl3_23
<=> op(e1,e2) = op(e3,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_23])]) ).
fof(f13396,plain,
( e1 != op(e1,e2)
| spl3_23
| ~ spl3_122 ),
inference(superposition,[],[f381,f1830]) ).
fof(f381,plain,
( op(e1,e2) != op(e3,e2)
| spl3_23 ),
inference(avatar_component_clause,[],[f379]) ).
fof(f15383,plain,
( ~ spl3_93
| spl3_58
| ~ spl3_68 ),
inference(avatar_split_clause,[],[f12791,f597,f552,f717]) ).
fof(f12791,plain,
( e1 != op(e0,e1)
| spl3_58
| ~ spl3_68 ),
inference(superposition,[],[f554,f599]) ).
fof(f15381,plain,
( ~ spl3_112
| spl3_49
| ~ spl3_115 ),
inference(avatar_split_clause,[],[f12487,f1143,f509,f992]) ).
fof(f509,plain,
( spl3_49
<=> op(e3,e0) = op(e3,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_49])]) ).
fof(f12487,plain,
( e2 != op(e3,e0)
| spl3_49
| ~ spl3_115 ),
inference(superposition,[],[f511,f1145]) ).
fof(f511,plain,
( op(e3,e0) != op(e3,e1)
| spl3_49 ),
inference(avatar_component_clause,[],[f509]) ).
fof(f15379,plain,
( ~ spl3_114
| spl3_52
| ~ spl3_122 ),
inference(avatar_split_clause,[],[f10381,f1828,f524,f1126]) ).
fof(f10381,plain,
( e1 != op(e3,e1)
| spl3_52
| ~ spl3_122 ),
inference(superposition,[],[f526,f1830]) ).
fof(f15377,plain,
( ~ spl3_101
| spl3_46
| ~ spl3_73 ),
inference(avatar_split_clause,[],[f9856,f620,f494,f778]) ).
fof(f494,plain,
( spl3_46
<=> op(e2,e1) = op(e2,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_46])]) ).
fof(f9856,plain,
( e0 != op(e2,e1)
| spl3_46
| ~ spl3_73 ),
inference(superposition,[],[f496,f621]) ).
fof(f496,plain,
( op(e2,e1) != op(e2,e2)
| spl3_46 ),
inference(avatar_component_clause,[],[f494]) ).
fof(f15369,plain,
( ~ spl3_98
| ~ spl3_119
| spl3_131 ),
inference(avatar_split_clause,[],[f6835,f6037,f1247,f749]) ).
fof(f6835,plain,
( e3 != op(e3,e3)
| ~ spl3_119
| spl3_131 ),
inference(superposition,[],[f6039,f1249]) ).
fof(f15368,plain,
( spl3_134
| spl3_6
| spl3_5
| spl3_3
| ~ spl3_73
| ~ spl3_74
| ~ spl3_125 ),
inference(avatar_split_clause,[],[f15351,f2759,f624,f620,f279,f289,f294,f7304]) ).
fof(f624,plain,
( spl3_74
<=> e2 = op(e2,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_74])]) ).
fof(f15351,plain,
( e0 = e3
| e1 = e3
| e2 = e3
| e3 = op(e2,e1)
| ~ spl3_73
| ~ spl3_74
| ~ spl3_125 ),
inference(forward_demodulation,[],[f15231,f621]) ).
fof(f15231,plain,
( e1 = e3
| e2 = e3
| e3 = op(e2,e2)
| e3 = op(e2,e1)
| ~ spl3_74
| ~ spl3_125 ),
inference(forward_demodulation,[],[f7803,f2760]) ).
fof(f7803,plain,
( e2 = e3
| e3 = op(e2,e3)
| e3 = op(e2,e2)
| e3 = op(e2,e1)
| ~ spl3_74 ),
inference(forward_demodulation,[],[f137,f626]) ).
fof(f626,plain,
( e2 = op(e2,e0)
| ~ spl3_74 ),
inference(avatar_component_clause,[],[f624]) ).
fof(f137,plain,
( e3 = op(e2,e3)
| e3 = op(e2,e2)
| e3 = op(e2,e1)
| e3 = op(e2,e0) ),
inference(cnf_transformation,[],[f2]) ).
fof(f15347,plain,
( spl3_6
| spl3_5
| spl3_3
| ~ spl3_73
| ~ spl3_74
| ~ spl3_101
| ~ spl3_125 ),
inference(avatar_split_clause,[],[f15340,f2759,f778,f624,f620,f279,f289,f294]) ).
fof(f15340,plain,
( e0 = e3
| e1 = e3
| e2 = e3
| ~ spl3_73
| ~ spl3_74
| ~ spl3_101
| ~ spl3_125 ),
inference(duplicate_literal_removal,[],[f15339]) ).
fof(f15339,plain,
( e0 = e3
| e0 = e3
| e1 = e3
| e2 = e3
| ~ spl3_73
| ~ spl3_74
| ~ spl3_101
| ~ spl3_125 ),
inference(forward_demodulation,[],[f15232,f621]) ).
fof(f15232,plain,
( e0 = e3
| e1 = e3
| e2 = e3
| e3 = op(e2,e2)
| ~ spl3_74
| ~ spl3_101
| ~ spl3_125 ),
inference(forward_demodulation,[],[f15231,f780]) ).
fof(f15335,plain,
( spl3_5
| ~ spl3_108
| ~ spl3_125
| ~ spl3_137 ),
inference(avatar_split_clause,[],[f15318,f13412,f2759,f827,f289]) ).
fof(f15318,plain,
( e1 = e3
| ~ spl3_108
| ~ spl3_125
| ~ spl3_137 ),
inference(forward_demodulation,[],[f15317,f2760]) ).
fof(f15317,plain,
( e3 = op(e2,e3)
| ~ spl3_108
| ~ spl3_137 ),
inference(superposition,[],[f13413,f829]) ).
fof(f13413,plain,
( op(e0,e2) = op(e2,op(e0,e2))
| ~ spl3_137 ),
inference(avatar_component_clause,[],[f13412]) ).
fof(f15319,plain,
( spl3_126
| spl3_4
| spl3_6
| spl3_2
| ~ spl3_73
| ~ spl3_108
| ~ spl3_122 ),
inference(avatar_split_clause,[],[f15309,f1828,f827,f620,f274,f294,f284,f3399]) ).
fof(f15309,plain,
( e0 = e2
| e2 = e3
| e1 = e2
| e2 = op(e1,e2)
| ~ spl3_73
| ~ spl3_108
| ~ spl3_122 ),
inference(forward_demodulation,[],[f10160,f621]) ).
fof(f10160,plain,
( e2 = e3
| e1 = e2
| e2 = op(e2,e2)
| e2 = op(e1,e2)
| ~ spl3_108
| ~ spl3_122 ),
inference(forward_demodulation,[],[f5441,f829]) ).
fof(f5441,plain,
( e1 = e2
| e2 = op(e2,e2)
| e2 = op(e1,e2)
| e2 = op(e0,e2)
| ~ spl3_122 ),
inference(forward_demodulation,[],[f136,f1830]) ).
fof(f15308,plain,
( spl3_4
| ~ spl3_105
| ~ spl3_122
| ~ spl3_135 ),
inference(avatar_split_clause,[],[f15277,f13101,f1828,f803,f284]) ).
fof(f15277,plain,
( e1 = e2
| ~ spl3_105
| ~ spl3_122
| ~ spl3_135 ),
inference(forward_demodulation,[],[f15275,f1830]) ).
fof(f15275,plain,
( e2 = op(e3,e2)
| ~ spl3_105
| ~ spl3_135 ),
inference(superposition,[],[f13102,f805]) ).
fof(f15169,plain,
( ~ spl3_120
| spl3_30
| ~ spl3_98 ),
inference(avatar_split_clause,[],[f5923,f749,f414,f1300]) ).
fof(f414,plain,
( spl3_30
<=> op(e2,e3) = op(e3,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_30])]) ).
fof(f5923,plain,
( e3 != op(e2,e3)
| spl3_30
| ~ spl3_98 ),
inference(superposition,[],[f416,f751]) ).
fof(f751,plain,
( e3 = op(e3,e3)
| ~ spl3_98 ),
inference(avatar_component_clause,[],[f749]) ).
fof(f416,plain,
( op(e2,e3) != op(e3,e3)
| spl3_30 ),
inference(avatar_component_clause,[],[f414]) ).
fof(f15134,plain,
( spl3_4
| ~ spl3_56
| ~ spl3_99
| ~ spl3_103 ),
inference(avatar_split_clause,[],[f15101,f795,f764,f543,f284]) ).
fof(f543,plain,
( spl3_56
<=> op(e2,e0) = op(e0,op(e2,e0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_56])]) ).
fof(f15101,plain,
( e1 = e2
| ~ spl3_56
| ~ spl3_99
| ~ spl3_103 ),
inference(forward_demodulation,[],[f797,f15019]) ).
fof(f15019,plain,
( e1 = op(e0,e1)
| ~ spl3_56
| ~ spl3_99 ),
inference(forward_demodulation,[],[f544,f766]) ).
fof(f544,plain,
( op(e2,e0) = op(e0,op(e2,e0))
| ~ spl3_56 ),
inference(avatar_component_clause,[],[f543]) ).
fof(f15076,plain,
( ~ spl3_81
| ~ spl3_69
| ~ spl3_116 ),
inference(avatar_split_clause,[],[f15001,f1173,f602,f656]) ).
fof(f15001,plain,
( e1 != op(e3,e3)
| ~ spl3_69
| ~ spl3_116 ),
inference(trivial_inequality_removal,[],[f15000]) ).
fof(f15000,plain,
( e2 != e2
| e1 != op(e3,e3)
| ~ spl3_69
| ~ spl3_116 ),
inference(forward_demodulation,[],[f14120,f603]) ).
fof(f603,plain,
( e2 = op(e1,e1)
| ~ spl3_69 ),
inference(avatar_component_clause,[],[f602]) ).
fof(f14120,plain,
( e1 != op(e3,e3)
| e2 != op(e1,e1)
| ~ spl3_116 ),
inference(trivial_inequality_removal,[],[f11848]) ).
fof(f11848,plain,
( e0 != e0
| e1 != op(e3,e3)
| e2 != op(e1,e1)
| ~ spl3_116 ),
inference(forward_demodulation,[],[f249,f1175]) ).
fof(f249,plain,
( e0 != op(e3,e2)
| e1 != op(e3,e3)
| e2 != op(e1,e1) ),
inference(inner_rewriting,[],[f248]) ).
fof(f248,plain,
( e0 != op(e3,op(e1,e1))
| e1 != op(e3,e3)
| e2 != op(e1,e1) ),
inference(inner_rewriting,[],[f210]) ).
fof(f210,plain,
( e0 != op(e3,op(op(e3,e3),op(e3,e3)))
| e1 != op(e3,e3)
| e2 != op(op(e3,e3),op(e3,e3)) ),
inference(cnf_transformation,[],[f44]) ).
fof(f44,plain,
( e0 != op(e3,op(op(e3,e3),op(e3,e3)))
| e1 != op(e3,e3)
| e2 != op(op(e3,e3),op(e3,e3)) ),
inference(ennf_transformation,[],[f20]) ).
fof(f20,axiom,
~ ( e0 = op(e3,op(op(e3,e3),op(e3,e3)))
& e1 = op(e3,e3)
& e2 = op(op(e3,e3),op(e3,e3)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax20) ).
fof(f14978,plain,
( spl3_127
| spl3_4
| spl3_1
| spl3_5
| ~ spl3_69
| ~ spl3_102
| ~ spl3_107 ),
inference(avatar_split_clause,[],[f14950,f823,f782,f602,f289,f269,f284,f4493]) ).
fof(f782,plain,
( spl3_102
<=> e0 = op(e3,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_102])]) ).
fof(f14950,plain,
( e1 = e3
| e0 = e1
| e1 = e2
| e1 = op(e2,e1)
| ~ spl3_69
| ~ spl3_102
| ~ spl3_107 ),
inference(forward_demodulation,[],[f13730,f825]) ).
fof(f13730,plain,
( e0 = e1
| e1 = e2
| e1 = op(e2,e1)
| e1 = op(e0,e1)
| ~ spl3_69
| ~ spl3_102 ),
inference(forward_demodulation,[],[f12153,f784]) ).
fof(f784,plain,
( e0 = op(e3,e1)
| ~ spl3_102 ),
inference(avatar_component_clause,[],[f782]) ).
fof(f12153,plain,
( e1 = e2
| e1 = op(e3,e1)
| e1 = op(e2,e1)
| e1 = op(e0,e1)
| ~ spl3_69 ),
inference(forward_demodulation,[],[f126,f603]) ).
fof(f14974,plain,
( spl3_114
| ~ spl3_95
| ~ spl3_135 ),
inference(avatar_split_clause,[],[f14948,f13101,f725,f1126]) ).
fof(f14948,plain,
( e1 = op(e3,e1)
| ~ spl3_95
| ~ spl3_135 ),
inference(forward_demodulation,[],[f13102,f727]) ).
fof(f14959,plain,
( ~ spl3_59
| ~ spl3_64
| ~ spl3_91 ),
inference(avatar_split_clause,[],[f14528,f704,f579,f557]) ).
fof(f14528,plain,
( ~ sP0
| ~ spl3_64
| ~ spl3_91 ),
inference(trivial_inequality_removal,[],[f14259]) ).
fof(f14259,plain,
( e0 != e0
| ~ sP0
| ~ spl3_64
| ~ spl3_91 ),
inference(forward_demodulation,[],[f3421,f706]) ).
fof(f706,plain,
( e0 = op(e2,e0)
| ~ spl3_91 ),
inference(avatar_component_clause,[],[f704]) ).
fof(f3421,plain,
( e0 != op(e2,e0)
| ~ sP0
| ~ spl3_64 ),
inference(forward_demodulation,[],[f173,f581]) ).
fof(f173,plain,
( op(e0,e2) != op(e2,op(e0,e2))
| ~ sP0 ),
inference(cnf_transformation,[],[f60]) ).
fof(f14930,plain,
( ~ spl3_114
| ~ spl3_95
| spl3_135 ),
inference(avatar_split_clause,[],[f14848,f13101,f725,f1126]) ).
fof(f14848,plain,
( e1 != op(e3,e1)
| ~ spl3_95
| spl3_135 ),
inference(superposition,[],[f13103,f727]) ).
fof(f14928,plain,
( ~ spl3_82
| spl3_52
| ~ spl3_84 ),
inference(avatar_split_clause,[],[f14278,f669,f524,f660]) ).
fof(f669,plain,
( spl3_84
<=> e3 = op(e3,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_84])]) ).
fof(f14278,plain,
( e3 != op(e3,e1)
| spl3_52
| ~ spl3_84 ),
inference(superposition,[],[f526,f671]) ).
fof(f671,plain,
( e3 = op(e3,e2)
| ~ spl3_84 ),
inference(avatar_component_clause,[],[f669]) ).
fof(f14926,plain,
( ~ spl3_93
| spl3_15
| ~ spl3_114 ),
inference(avatar_split_clause,[],[f13929,f1126,f339,f717]) ).
fof(f13929,plain,
( e1 != op(e0,e1)
| spl3_15
| ~ spl3_114 ),
inference(superposition,[],[f341,f1128]) ).
fof(f14918,plain,
( spl3_99
| spl3_1
| spl3_5
| spl3_4
| ~ spl3_63
| ~ spl3_92
| ~ spl3_117 ),
inference(avatar_split_clause,[],[f14787,f1184,f708,f575,f284,f289,f269,f764]) ).
fof(f14787,plain,
( e1 = e2
| e1 = e3
| e0 = e1
| e1 = op(e2,e0)
| ~ spl3_63
| ~ spl3_92
| ~ spl3_117 ),
inference(forward_demodulation,[],[f14764,f576]) ).
fof(f576,plain,
( op(e0,e0) = e2
| ~ spl3_63 ),
inference(avatar_component_clause,[],[f575]) ).
fof(f14764,plain,
( e1 = e3
| e0 = e1
| e1 = op(e2,e0)
| op(e0,e0) = e1
| ~ spl3_92
| ~ spl3_117 ),
inference(forward_demodulation,[],[f5155,f1186]) ).
fof(f5155,plain,
( e0 = e1
| e1 = op(e2,e0)
| e1 = op(e1,e0)
| op(e0,e0) = e1
| ~ spl3_92 ),
inference(forward_demodulation,[],[f118,f710]) ).
fof(f118,plain,
( e1 = op(e3,e0)
| e1 = op(e2,e0)
| e1 = op(e1,e0)
| op(e0,e0) = e1 ),
inference(cnf_transformation,[],[f2]) ).
fof(f14877,plain,
( spl3_6
| spl3_5
| spl3_3
| ~ spl3_83
| ~ spl3_95
| ~ spl3_111
| ~ spl3_125 ),
inference(avatar_split_clause,[],[f14841,f2759,f895,f725,f665,f279,f289,f294]) ).
fof(f14841,plain,
( e0 = e3
| e1 = e3
| e2 = e3
| ~ spl3_83
| ~ spl3_95
| ~ spl3_111
| ~ spl3_125 ),
inference(forward_demodulation,[],[f14840,f897]) ).
fof(f14840,plain,
( e1 = e3
| e2 = e3
| e3 = op(e1,e3)
| ~ spl3_83
| ~ spl3_95
| ~ spl3_125 ),
inference(duplicate_literal_removal,[],[f14839]) ).
fof(f14839,plain,
( e1 = e3
| e2 = e3
| e1 = e3
| e3 = op(e1,e3)
| ~ spl3_83
| ~ spl3_95
| ~ spl3_125 ),
inference(forward_demodulation,[],[f14838,f2760]) ).
fof(f14838,plain,
( e2 = e3
| e1 = e3
| e3 = op(e2,e3)
| e3 = op(e1,e3)
| ~ spl3_83
| ~ spl3_95 ),
inference(forward_demodulation,[],[f14382,f666]) ).
fof(f666,plain,
( e2 = op(e3,e3)
| ~ spl3_83 ),
inference(avatar_component_clause,[],[f665]) ).
fof(f14382,plain,
( e1 = e3
| e3 = op(e3,e3)
| e3 = op(e2,e3)
| e3 = op(e1,e3)
| ~ spl3_95 ),
inference(forward_demodulation,[],[f146,f727]) ).
fof(f14854,plain,
( spl3_109
| ~ spl3_58
| ~ spl3_117 ),
inference(avatar_split_clause,[],[f14769,f1184,f552,f831]) ).
fof(f14769,plain,
( e3 = op(e0,e3)
| ~ spl3_58
| ~ spl3_117 ),
inference(forward_demodulation,[],[f553,f1186]) ).
fof(f14835,plain,
( spl3_3
| spl3_6
| spl3_5
| ~ spl3_69
| ~ spl3_93
| ~ spl3_101
| ~ spl3_114 ),
inference(avatar_split_clause,[],[f14802,f1126,f778,f717,f602,f289,f294,f279]) ).
fof(f14802,plain,
( e1 = e3
| e2 = e3
| e0 = e3
| ~ spl3_69
| ~ spl3_93
| ~ spl3_101
| ~ spl3_114 ),
inference(duplicate_literal_removal,[],[f14801]) ).
fof(f14801,plain,
( e1 = e3
| e2 = e3
| e0 = e3
| e1 = e3
| ~ spl3_69
| ~ spl3_93
| ~ spl3_101
| ~ spl3_114 ),
inference(forward_demodulation,[],[f14800,f719]) ).
fof(f14800,plain,
( e2 = e3
| e0 = e3
| e1 = e3
| e3 = op(e0,e1)
| ~ spl3_69
| ~ spl3_101
| ~ spl3_114 ),
inference(forward_demodulation,[],[f1150,f603]) ).
fof(f1150,plain,
( e0 = e3
| e1 = e3
| e3 = op(e1,e1)
| e3 = op(e0,e1)
| ~ spl3_101
| ~ spl3_114 ),
inference(forward_demodulation,[],[f1149,f780]) ).
fof(f14834,plain,
( ~ spl3_91
| ~ spl3_64
| spl3_137 ),
inference(avatar_split_clause,[],[f14526,f13412,f579,f704]) ).
fof(f14526,plain,
( e0 != op(e2,e0)
| ~ spl3_64
| spl3_137 ),
inference(forward_demodulation,[],[f13414,f581]) ).
fof(f14828,plain,
( spl3_92
| ~ spl3_111
| ~ spl3_131 ),
inference(avatar_split_clause,[],[f6154,f6037,f895,f708]) ).
fof(f6154,plain,
( e0 = op(e3,e0)
| ~ spl3_111
| ~ spl3_131 ),
inference(forward_demodulation,[],[f6038,f897]) ).
fof(f14786,plain,
( spl3_3
| ~ spl3_101
| ~ spl3_134 ),
inference(avatar_split_clause,[],[f13063,f7304,f778,f279]) ).
fof(f13063,plain,
( e0 = e3
| ~ spl3_101
| ~ spl3_134 ),
inference(superposition,[],[f7305,f780]) ).
fof(f14712,plain,
( ~ spl3_109
| spl3_58
| ~ spl3_117 ),
inference(avatar_split_clause,[],[f14031,f1184,f552,f831]) ).
fof(f14031,plain,
( e3 != op(e0,e3)
| spl3_58
| ~ spl3_117 ),
inference(superposition,[],[f554,f1186]) ).
fof(f14710,plain,
( ~ spl3_62
| spl3_34
| ~ spl3_64 ),
inference(avatar_split_clause,[],[f13743,f579,f434,f570]) ).
fof(f13743,plain,
( e0 != op(e0,e1)
| spl3_34
| ~ spl3_64 ),
inference(superposition,[],[f436,f581]) ).
fof(f14708,plain,
( ~ spl3_101
| spl3_18
| ~ spl3_102 ),
inference(avatar_split_clause,[],[f12178,f782,f354,f778]) ).
fof(f354,plain,
( spl3_18
<=> op(e2,e1) = op(e3,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_18])]) ).
fof(f12178,plain,
( e0 != op(e2,e1)
| spl3_18
| ~ spl3_102 ),
inference(superposition,[],[f356,f784]) ).
fof(f356,plain,
( op(e2,e1) != op(e3,e1)
| spl3_18 ),
inference(avatar_component_clause,[],[f354]) ).
fof(f14706,plain,
( ~ spl3_120
| ~ spl3_84
| spl3_87 ),
inference(avatar_split_clause,[],[f12098,f684,f669,f1300]) ).
fof(f12098,plain,
( e3 != op(e2,e3)
| ~ spl3_84
| spl3_87 ),
inference(superposition,[],[f686,f671]) ).
fof(f14704,plain,
( ~ spl3_92
| spl3_49
| ~ spl3_102 ),
inference(avatar_split_clause,[],[f11640,f782,f509,f708]) ).
fof(f11640,plain,
( e0 != op(e3,e0)
| spl3_49
| ~ spl3_102 ),
inference(superposition,[],[f511,f784]) ).
fof(f14702,plain,
( ~ spl3_107
| spl3_35
| ~ spl3_109 ),
inference(avatar_split_clause,[],[f11401,f831,f439,f823]) ).
fof(f14678,plain,
( spl3_81
| spl3_1
| spl3_5
| ~ spl3_109
| ~ spl3_111
| ~ spl3_120 ),
inference(avatar_split_clause,[],[f14598,f1300,f895,f831,f289,f269,f656]) ).
fof(f14598,plain,
( e1 = e3
| e0 = e1
| e1 = op(e3,e3)
| ~ spl3_109
| ~ spl3_111
| ~ spl3_120 ),
inference(duplicate_literal_removal,[],[f14597]) ).
fof(f14597,plain,
( e1 = e3
| e0 = e1
| e1 = e3
| e1 = op(e3,e3)
| ~ spl3_109
| ~ spl3_111
| ~ spl3_120 ),
inference(forward_demodulation,[],[f13132,f833]) ).
fof(f13132,plain,
( e0 = e1
| e1 = e3
| e1 = op(e3,e3)
| e1 = op(e0,e3)
| ~ spl3_111
| ~ spl3_120 ),
inference(forward_demodulation,[],[f4995,f897]) ).
fof(f14559,plain,
( spl3_69
| spl3_76
| spl3_2
| spl3_4
| ~ spl3_93
| ~ spl3_102 ),
inference(avatar_split_clause,[],[f10325,f782,f717,f284,f274,f633,f602]) ).
fof(f633,plain,
( spl3_76
<=> e2 = op(e2,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_76])]) ).
fof(f10325,plain,
( e1 = e2
| e0 = e2
| e2 = op(e2,e1)
| e2 = op(e1,e1)
| ~ spl3_93
| ~ spl3_102 ),
inference(forward_demodulation,[],[f7631,f719]) ).
fof(f7631,plain,
( e0 = e2
| e2 = op(e2,e1)
| e2 = op(e1,e1)
| e2 = op(e0,e1)
| ~ spl3_102 ),
inference(forward_demodulation,[],[f128,f784]) ).
fof(f14527,plain,
( spl3_69
| spl3_4
| spl3_2
| ~ spl3_93
| ~ spl3_101
| ~ spl3_114 ),
inference(avatar_split_clause,[],[f14439,f1126,f778,f717,f274,f284,f602]) ).
fof(f14439,plain,
( e0 = e2
| e1 = e2
| e2 = op(e1,e1)
| ~ spl3_93
| ~ spl3_101
| ~ spl3_114 ),
inference(forward_demodulation,[],[f14438,f780]) ).
fof(f14438,plain,
( e1 = e2
| e2 = op(e2,e1)
| e2 = op(e1,e1)
| ~ spl3_93
| ~ spl3_114 ),
inference(duplicate_literal_removal,[],[f14437]) ).
fof(f14437,plain,
( e1 = e2
| e1 = e2
| e2 = op(e2,e1)
| e2 = op(e1,e1)
| ~ spl3_93
| ~ spl3_114 ),
inference(forward_demodulation,[],[f10230,f1128]) ).
fof(f14506,plain,
( spl3_5
| spl3_6
| spl3_3
| ~ spl3_64
| ~ spl3_97
| ~ spl3_101
| ~ spl3_125
| ~ spl3_137 ),
inference(avatar_split_clause,[],[f14432,f13412,f2759,f778,f745,f579,f279,f294,f289]) ).
fof(f745,plain,
( spl3_97
<=> e2 = op(e2,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_97])]) ).
fof(f14432,plain,
( e0 = e3
| e2 = e3
| e1 = e3
| ~ spl3_64
| ~ spl3_97
| ~ spl3_101
| ~ spl3_125
| ~ spl3_137 ),
inference(duplicate_literal_removal,[],[f14431]) ).
fof(f14431,plain,
( e0 = e3
| e2 = e3
| e1 = e3
| e0 = e3
| ~ spl3_64
| ~ spl3_97
| ~ spl3_101
| ~ spl3_125
| ~ spl3_137 ),
inference(forward_demodulation,[],[f12989,f14322]) ).
fof(f14322,plain,
( e0 = op(e2,e0)
| ~ spl3_64
| ~ spl3_137 ),
inference(superposition,[],[f13413,f581]) ).
fof(f12989,plain,
( e2 = e3
| e1 = e3
| e0 = e3
| e3 = op(e2,e0)
| ~ spl3_97
| ~ spl3_101
| ~ spl3_125 ),
inference(forward_demodulation,[],[f12988,f747]) ).
fof(f747,plain,
( e2 = op(e2,e2)
| ~ spl3_97 ),
inference(avatar_component_clause,[],[f745]) ).
fof(f12988,plain,
( e1 = e3
| e0 = e3
| e3 = op(e2,e2)
| e3 = op(e2,e0)
| ~ spl3_101
| ~ spl3_125 ),
inference(forward_demodulation,[],[f10148,f2760]) ).
fof(f10148,plain,
( e0 = e3
| e3 = op(e2,e3)
| e3 = op(e2,e2)
| e3 = op(e2,e0)
| ~ spl3_101 ),
inference(forward_demodulation,[],[f137,f780]) ).
fof(f14408,plain,
( spl3_100
| spl3_4
| spl3_1
| spl3_5
| ~ spl3_63
| ~ spl3_91
| ~ spl3_117 ),
inference(avatar_split_clause,[],[f14265,f1184,f704,f575,f289,f269,f284,f768]) ).
fof(f14265,plain,
( e1 = e3
| e0 = e1
| e1 = e2
| e1 = op(e3,e0)
| ~ spl3_63
| ~ spl3_91
| ~ spl3_117 ),
inference(forward_demodulation,[],[f14264,f1186]) ).
fof(f14264,plain,
( e0 = e1
| e1 = e2
| e1 = op(e3,e0)
| e1 = op(e1,e0)
| ~ spl3_63
| ~ spl3_91 ),
inference(forward_demodulation,[],[f13423,f706]) ).
fof(f13423,plain,
( e1 = e2
| e1 = op(e3,e0)
| e1 = op(e2,e0)
| e1 = op(e1,e0)
| ~ spl3_63 ),
inference(forward_demodulation,[],[f118,f576]) ).
fof(f14381,plain,
( spl3_98
| spl3_6
| spl3_5
| ~ spl3_95
| ~ spl3_123
| ~ spl3_125 ),
inference(avatar_split_clause,[],[f14366,f2759,f1981,f725,f289,f294,f749]) ).
fof(f14366,plain,
( e1 = e3
| e2 = e3
| e3 = op(e3,e3)
| ~ spl3_95
| ~ spl3_123
| ~ spl3_125 ),
inference(duplicate_literal_removal,[],[f14365]) ).
fof(f14365,plain,
( e1 = e3
| e2 = e3
| e1 = e3
| e3 = op(e3,e3)
| ~ spl3_95
| ~ spl3_123
| ~ spl3_125 ),
inference(forward_demodulation,[],[f14364,f727]) ).
fof(f14338,plain,
( spl3_79
| spl3_3
| spl3_1
| spl3_2
| ~ spl3_95
| ~ spl3_120
| ~ spl3_123 ),
inference(avatar_split_clause,[],[f14243,f1981,f1300,f725,f274,f269,f279,f647]) ).
fof(f14243,plain,
( e0 = e2
| e0 = e1
| e0 = e3
| e0 = op(e3,e3)
| ~ spl3_95
| ~ spl3_120
| ~ spl3_123 ),
inference(forward_demodulation,[],[f13425,f1983]) ).
fof(f13425,plain,
( e0 = e1
| e0 = e3
| e0 = op(e3,e3)
| e0 = op(e1,e3)
| ~ spl3_95
| ~ spl3_120 ),
inference(forward_demodulation,[],[f13348,f727]) ).
fof(f13348,plain,
( e0 = e3
| e0 = op(e3,e3)
| e0 = op(e1,e3)
| e0 = op(e0,e3)
| ~ spl3_120 ),
inference(forward_demodulation,[],[f140,f1302]) ).
fof(f14332,plain,
( spl3_122
| spl3_4
| spl3_1
| ~ spl3_64
| ~ spl3_97
| ~ spl3_110 ),
inference(avatar_split_clause,[],[f14263,f891,f745,f579,f269,f284,f1828]) ).
fof(f14263,plain,
( e0 = e1
| e1 = e2
| e1 = op(e3,e2)
| ~ spl3_64
| ~ spl3_97
| ~ spl3_110 ),
inference(duplicate_literal_removal,[],[f14262]) ).
fof(f14262,plain,
( e0 = e1
| e1 = e2
| e0 = e1
| e1 = op(e3,e2)
| ~ spl3_64
| ~ spl3_97
| ~ spl3_110 ),
inference(forward_demodulation,[],[f14261,f893]) ).
fof(f14261,plain,
( e1 = e2
| e0 = e1
| e1 = op(e3,e2)
| e1 = op(e1,e2)
| ~ spl3_64
| ~ spl3_97 ),
inference(forward_demodulation,[],[f3265,f747]) ).
fof(f3265,plain,
( e0 = e1
| e1 = op(e3,e2)
| e1 = op(e2,e2)
| e1 = op(e1,e2)
| ~ spl3_64 ),
inference(forward_demodulation,[],[f134,f581]) ).
fof(f14323,plain,
( spl3_79
| spl3_3
| spl3_2
| ~ spl3_84
| ~ spl3_112
| ~ spl3_115 ),
inference(avatar_split_clause,[],[f14252,f1143,f992,f669,f274,f279,f647]) ).
fof(f14252,plain,
( e0 = e2
| e0 = e3
| e0 = op(e3,e3)
| ~ spl3_84
| ~ spl3_112
| ~ spl3_115 ),
inference(duplicate_literal_removal,[],[f14251]) ).
fof(f14251,plain,
( e0 = e2
| e0 = e2
| e0 = e3
| e0 = op(e3,e3)
| ~ spl3_84
| ~ spl3_112
| ~ spl3_115 ),
inference(forward_demodulation,[],[f8957,f994]) ).
fof(f8957,plain,
( e0 = e2
| e0 = e3
| e0 = op(e3,e3)
| e0 = op(e3,e0)
| ~ spl3_84
| ~ spl3_115 ),
inference(forward_demodulation,[],[f4989,f1145]) ).
fof(f4989,plain,
( e0 = e3
| e0 = op(e3,e3)
| e0 = op(e3,e1)
| e0 = op(e3,e0)
| ~ spl3_84 ),
inference(forward_demodulation,[],[f139,f671]) ).
fof(f14266,plain,
( ~ spl3_59
| ~ spl3_64
| ~ spl3_91 ),
inference(avatar_split_clause,[],[f14260,f704,f579,f557]) ).
fof(f14260,plain,
( ~ sP0
| ~ spl3_64
| ~ spl3_91 ),
inference(trivial_inequality_removal,[],[f14259]) ).
fof(f14211,plain,
( spl3_69
| spl3_4
| spl3_2
| spl3_6
| ~ spl3_70
| ~ spl3_111
| ~ spl3_117 ),
inference(avatar_split_clause,[],[f14165,f1184,f895,f606,f294,f274,f284,f602]) ).
fof(f14165,plain,
( e2 = e3
| e0 = e2
| e1 = e2
| e2 = op(e1,e1)
| ~ spl3_70
| ~ spl3_111
| ~ spl3_117 ),
inference(forward_demodulation,[],[f14140,f1186]) ).
fof(f14140,plain,
( e0 = e2
| e1 = e2
| e2 = op(e1,e1)
| e2 = op(e1,e0)
| ~ spl3_70
| ~ spl3_111 ),
inference(forward_demodulation,[],[f6393,f897]) ).
fof(f6393,plain,
( e1 = e2
| e2 = op(e1,e3)
| e2 = op(e1,e1)
| e2 = op(e1,e0)
| ~ spl3_70 ),
inference(forward_demodulation,[],[f127,f608]) ).
fof(f608,plain,
( e1 = op(e1,e2)
| ~ spl3_70 ),
inference(avatar_component_clause,[],[f606]) ).
fof(f14173,plain,
( spl3_125
| spl3_1
| spl3_4
| spl3_5
| ~ spl3_91
| ~ spl3_97
| ~ spl3_134 ),
inference(avatar_split_clause,[],[f13974,f7304,f745,f704,f289,f284,f269,f2759]) ).
fof(f13974,plain,
( e1 = e3
| e1 = e2
| e0 = e1
| e1 = op(e2,e3)
| ~ spl3_91
| ~ spl3_97
| ~ spl3_134 ),
inference(forward_demodulation,[],[f13973,f7305]) ).
fof(f13973,plain,
( e1 = e2
| e0 = e1
| e1 = op(e2,e3)
| e1 = op(e2,e1)
| ~ spl3_91
| ~ spl3_97 ),
inference(forward_demodulation,[],[f7007,f747]) ).
fof(f7007,plain,
( e0 = e1
| e1 = op(e2,e3)
| e1 = op(e2,e2)
| e1 = op(e2,e1)
| ~ spl3_91 ),
inference(forward_demodulation,[],[f133,f706]) ).
fof(f133,plain,
( e1 = op(e2,e3)
| e1 = op(e2,e2)
| e1 = op(e2,e1)
| e1 = op(e2,e0) ),
inference(cnf_transformation,[],[f2]) ).
fof(f14164,plain,
( spl3_6
| spl3_2
| spl3_4
| ~ spl3_70
| ~ spl3_96
| ~ spl3_111
| ~ spl3_117 ),
inference(avatar_split_clause,[],[f14139,f1184,f895,f741,f606,f284,f274,f294]) ).
fof(f14139,plain,
( e1 = e2
| e0 = e2
| e2 = e3
| ~ spl3_70
| ~ spl3_96
| ~ spl3_111
| ~ spl3_117 ),
inference(duplicate_literal_removal,[],[f14138]) ).
fof(f14138,plain,
( e1 = e2
| e0 = e2
| e2 = e3
| e1 = e2
| ~ spl3_70
| ~ spl3_96
| ~ spl3_111
| ~ spl3_117 ),
inference(forward_demodulation,[],[f14137,f743]) ).
fof(f14137,plain,
( e0 = e2
| e2 = e3
| e1 = e2
| e2 = op(e1,e1)
| ~ spl3_70
| ~ spl3_111
| ~ spl3_117 ),
inference(forward_demodulation,[],[f6394,f897]) ).
fof(f6394,plain,
( e2 = e3
| e1 = e2
| e2 = op(e1,e3)
| e2 = op(e1,e1)
| ~ spl3_70
| ~ spl3_117 ),
inference(forward_demodulation,[],[f6393,f1186]) ).
fof(f14115,plain,
( spl3_79
| spl3_3
| spl3_2
| ~ spl3_105
| ~ spl3_120
| ~ spl3_123 ),
inference(avatar_split_clause,[],[f12846,f1981,f1300,f803,f274,f279,f647]) ).
fof(f12846,plain,
( e0 = e2
| e0 = e3
| e0 = op(e3,e3)
| ~ spl3_105
| ~ spl3_120
| ~ spl3_123 ),
inference(duplicate_literal_removal,[],[f12845]) ).
fof(f12845,plain,
( e0 = e2
| e0 = e2
| e0 = e3
| e0 = op(e3,e3)
| ~ spl3_105
| ~ spl3_120
| ~ spl3_123 ),
inference(forward_demodulation,[],[f5969,f805]) ).
fof(f5969,plain,
( e0 = e2
| e0 = e3
| e0 = op(e3,e3)
| e0 = op(e0,e3)
| ~ spl3_120
| ~ spl3_123 ),
inference(forward_demodulation,[],[f2781,f1983]) ).
fof(f2781,plain,
( e0 = e3
| e0 = op(e3,e3)
| e0 = op(e1,e3)
| e0 = op(e0,e3)
| ~ spl3_120 ),
inference(forward_demodulation,[],[f140,f1302]) ).
fof(f14070,plain,
( spl3_81
| spl3_5
| spl3_4
| ~ spl3_105
| ~ spl3_120
| ~ spl3_123 ),
inference(avatar_split_clause,[],[f12844,f1981,f1300,f803,f284,f289,f656]) ).
fof(f12844,plain,
( e1 = e2
| e1 = e3
| e1 = op(e3,e3)
| ~ spl3_105
| ~ spl3_120
| ~ spl3_123 ),
inference(duplicate_literal_removal,[],[f12843]) ).
fof(f12843,plain,
( e1 = e2
| e1 = e2
| e1 = e3
| e1 = op(e3,e3)
| ~ spl3_105
| ~ spl3_120
| ~ spl3_123 ),
inference(forward_demodulation,[],[f12842,f805]) ).
fof(f12842,plain,
( e1 = e2
| e1 = e3
| e1 = op(e3,e3)
| e1 = op(e0,e3)
| ~ spl3_120
| ~ spl3_123 ),
inference(forward_demodulation,[],[f5998,f1983]) ).
fof(f5998,plain,
( e1 = e3
| e1 = op(e3,e3)
| e1 = op(e1,e3)
| e1 = op(e0,e3)
| ~ spl3_120 ),
inference(forward_demodulation,[],[f142,f1302]) ).
fof(f14057,plain,
( spl3_79
| spl3_2
| ~ spl3_112
| ~ spl3_115
| ~ spl3_123
| ~ spl3_131 ),
inference(avatar_split_clause,[],[f13997,f6037,f1981,f1143,f992,f274,f647]) ).
fof(f13997,plain,
( e0 = e2
| e0 = op(e3,e3)
| ~ spl3_112
| ~ spl3_115
| ~ spl3_123
| ~ spl3_131 ),
inference(duplicate_literal_removal,[],[f13996]) ).
fof(f13996,plain,
( e0 = e2
| e0 = e2
| e0 = op(e3,e3)
| ~ spl3_112
| ~ spl3_115
| ~ spl3_123
| ~ spl3_131 ),
inference(forward_demodulation,[],[f13995,f994]) ).
fof(f13995,plain,
( e0 = e2
| e0 = op(e3,e3)
| e0 = op(e3,e0)
| ~ spl3_115
| ~ spl3_123
| ~ spl3_131 ),
inference(duplicate_literal_removal,[],[f13994]) ).
fof(f13994,plain,
( e0 = e2
| e0 = e2
| e0 = op(e3,e3)
| e0 = op(e3,e0)
| ~ spl3_115
| ~ spl3_123
| ~ spl3_131 ),
inference(forward_demodulation,[],[f11993,f6329]) ).
fof(f6329,plain,
( e2 = op(e3,e2)
| ~ spl3_123
| ~ spl3_131 ),
inference(superposition,[],[f6038,f1983]) ).
fof(f11993,plain,
( e0 = e2
| e0 = op(e3,e3)
| e0 = op(e3,e2)
| e0 = op(e3,e0)
| ~ spl3_115 ),
inference(forward_demodulation,[],[f139,f1145]) ).
fof(f13946,plain,
( spl3_79
| spl3_1
| spl3_2
| spl3_3
| ~ spl3_105
| ~ spl3_119
| ~ spl3_125 ),
inference(avatar_split_clause,[],[f13864,f2759,f1247,f803,f279,f274,f269,f647]) ).
fof(f13864,plain,
( e0 = e3
| e0 = e2
| e0 = e1
| e0 = op(e3,e3)
| ~ spl3_105
| ~ spl3_119
| ~ spl3_125 ),
inference(forward_demodulation,[],[f12729,f1249]) ).
fof(f12729,plain,
( e0 = e2
| e0 = e1
| e0 = op(e3,e3)
| e0 = op(e1,e3)
| ~ spl3_105
| ~ spl3_125 ),
inference(forward_demodulation,[],[f2846,f805]) ).
fof(f2846,plain,
( e0 = e1
| e0 = op(e3,e3)
| e0 = op(e1,e3)
| e0 = op(e0,e3)
| ~ spl3_125 ),
inference(forward_demodulation,[],[f140,f2760]) ).
fof(f13945,plain,
( ~ spl3_69
| ~ spl3_61
| ~ spl3_108 ),
inference(avatar_split_clause,[],[f13840,f827,f566,f602]) ).
fof(f13840,plain,
( e2 != op(e1,e1)
| ~ spl3_61
| ~ spl3_108 ),
inference(trivial_inequality_removal,[],[f11852]) ).
fof(f11852,plain,
( e1 != e1
| e2 != op(e1,e1)
| ~ spl3_61
| ~ spl3_108 ),
inference(forward_demodulation,[],[f11851,f567]) ).
fof(f11851,plain,
( op(e0,e0) != e1
| e2 != op(e1,e1)
| ~ spl3_108 ),
inference(trivial_inequality_removal,[],[f11850]) ).
fof(f11850,plain,
( e3 != e3
| op(e0,e0) != e1
| e2 != op(e1,e1)
| ~ spl3_108 ),
inference(forward_demodulation,[],[f261,f829]) ).
fof(f261,plain,
( e3 != op(e0,e2)
| op(e0,e0) != e1
| e2 != op(e1,e1) ),
inference(inner_rewriting,[],[f260]) ).
fof(f260,plain,
( e3 != op(e0,op(e1,e1))
| op(e0,e0) != e1
| e2 != op(e1,e1) ),
inference(inner_rewriting,[],[f216]) ).
fof(f216,plain,
( e3 != op(e0,op(op(e0,e0),op(e0,e0)))
| op(e0,e0) != e1
| e2 != op(op(e0,e0),op(e0,e0)) ),
inference(cnf_transformation,[],[f50]) ).
fof(f50,plain,
( e3 != op(e0,op(op(e0,e0),op(e0,e0)))
| op(e0,e0) != e1
| e2 != op(op(e0,e0),op(e0,e0)) ),
inference(ennf_transformation,[],[f21]) ).
fof(f21,axiom,
~ ( e3 = op(e0,op(op(e0,e0),op(e0,e0)))
& op(e0,e0) = e1
& e2 = op(op(e0,e0),op(e0,e0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax21) ).
fof(f13943,plain,
( spl3_2
| spl3_6
| spl3_4
| ~ spl3_62
| ~ spl3_86
| ~ spl3_114
| ~ spl3_134 ),
inference(avatar_split_clause,[],[f13892,f7304,f1126,f679,f570,f284,f294,f274]) ).
fof(f13892,plain,
( e1 = e2
| e2 = e3
| e0 = e2
| ~ spl3_62
| ~ spl3_86
| ~ spl3_114
| ~ spl3_134 ),
inference(duplicate_literal_removal,[],[f13891]) ).
fof(f13891,plain,
( e1 = e2
| e1 = e2
| e2 = e3
| e0 = e2
| ~ spl3_62
| ~ spl3_86
| ~ spl3_114
| ~ spl3_134 ),
inference(forward_demodulation,[],[f13890,f11081]) ).
fof(f13890,plain,
( e1 = e2
| e2 = e3
| e0 = e2
| e2 = op(e1,e1)
| ~ spl3_62
| ~ spl3_114
| ~ spl3_134 ),
inference(forward_demodulation,[],[f8551,f1128]) ).
fof(f8551,plain,
( e2 = e3
| e0 = e2
| e2 = op(e3,e1)
| e2 = op(e1,e1)
| ~ spl3_62
| ~ spl3_134 ),
inference(forward_demodulation,[],[f6398,f7305]) ).
fof(f6398,plain,
( e0 = e2
| e2 = op(e3,e1)
| e2 = op(e2,e1)
| e2 = op(e1,e1)
| ~ spl3_62 ),
inference(forward_demodulation,[],[f128,f572]) ).
fof(f13900,plain,
( ~ spl3_57
| ~ spl3_98
| ~ spl3_119 ),
inference(avatar_split_clause,[],[f11434,f1247,f749,f548]) ).
fof(f11434,plain,
( ~ sP1
| ~ spl3_98
| ~ spl3_119 ),
inference(trivial_inequality_removal,[],[f4785]) ).
fof(f4785,plain,
( e3 != e3
| ~ sP1
| ~ spl3_98
| ~ spl3_119 ),
inference(forward_demodulation,[],[f4552,f751]) ).
fof(f4552,plain,
( e3 != op(e3,e3)
| ~ sP1
| ~ spl3_119 ),
inference(forward_demodulation,[],[f170,f1249]) ).
fof(f170,plain,
( op(e1,e3) != op(e3,op(e1,e3))
| ~ sP1 ),
inference(cnf_transformation,[],[f59]) ).
fof(f13837,plain,
( spl3_79
| spl3_3
| spl3_1
| ~ spl3_95
| ~ spl3_119
| ~ spl3_125 ),
inference(avatar_split_clause,[],[f13828,f2759,f1247,f725,f269,f279,f647]) ).
fof(f13828,plain,
( e0 = e1
| e0 = e3
| e0 = op(e3,e3)
| ~ spl3_95
| ~ spl3_119
| ~ spl3_125 ),
inference(duplicate_literal_removal,[],[f13827]) ).
fof(f13827,plain,
( e0 = e1
| e0 = e3
| e0 = e1
| e0 = op(e3,e3)
| ~ spl3_95
| ~ spl3_119
| ~ spl3_125 ),
inference(forward_demodulation,[],[f13826,f727]) ).
fof(f13826,plain,
( e0 = e3
| e0 = e1
| e0 = op(e3,e3)
| e0 = op(e0,e3)
| ~ spl3_119
| ~ spl3_125 ),
inference(forward_demodulation,[],[f12735,f1249]) ).
fof(f12735,plain,
( e0 = e1
| e0 = op(e3,e3)
| e0 = op(e1,e3)
| e0 = op(e0,e3)
| ~ spl3_125 ),
inference(forward_demodulation,[],[f140,f2760]) ).
fof(f13818,plain,
( spl3_79
| spl3_1
| spl3_3
| ~ spl3_95
| ~ spl3_119
| ~ spl3_120 ),
inference(avatar_split_clause,[],[f13694,f1300,f1247,f725,f279,f269,f647]) ).
fof(f13694,plain,
( e0 = e3
| e0 = e1
| e0 = op(e3,e3)
| ~ spl3_95
| ~ spl3_119
| ~ spl3_120 ),
inference(duplicate_literal_removal,[],[f13693]) ).
fof(f13693,plain,
( e0 = e3
| e0 = e1
| e0 = e3
| e0 = op(e3,e3)
| ~ spl3_95
| ~ spl3_119
| ~ spl3_120 ),
inference(forward_demodulation,[],[f13425,f1249]) ).
fof(f13736,plain,
( ~ spl3_59
| ~ spl3_107
| ~ spl3_119 ),
inference(avatar_split_clause,[],[f12025,f1247,f823,f557]) ).
fof(f12025,plain,
( ~ sP0
| ~ spl3_107
| ~ spl3_119 ),
inference(trivial_inequality_removal,[],[f3482]) ).
fof(f3482,plain,
( e3 != e3
| ~ sP0
| ~ spl3_107
| ~ spl3_119 ),
inference(forward_demodulation,[],[f3481,f1249]) ).
fof(f3481,plain,
( e3 != op(e1,e3)
| ~ sP0
| ~ spl3_107 ),
inference(forward_demodulation,[],[f172,f825]) ).
fof(f172,plain,
( op(e0,e1) != op(e1,op(e0,e1))
| ~ sP0 ),
inference(cnf_transformation,[],[f60]) ).
fof(f13654,plain,
( ~ spl3_81
| ~ spl3_65
| ~ spl3_103 ),
inference(avatar_split_clause,[],[f12862,f795,f584,f656]) ).
fof(f12862,plain,
( op(e0,e0) != e3
| e1 != op(e3,e3)
| ~ spl3_103 ),
inference(trivial_inequality_removal,[],[f8008]) ).
fof(f8008,plain,
( e2 != e2
| op(e0,e0) != e3
| e1 != op(e3,e3)
| ~ spl3_103 ),
inference(forward_demodulation,[],[f265,f797]) ).
fof(f265,plain,
( e2 != op(e0,e1)
| op(e0,e0) != e3
| e1 != op(e3,e3) ),
inference(inner_rewriting,[],[f264]) ).
fof(f264,plain,
( e2 != op(e0,op(e3,e3))
| op(e0,e0) != e3
| e1 != op(e3,e3) ),
inference(inner_rewriting,[],[f218]) ).
fof(f218,plain,
( e2 != op(e0,op(op(e0,e0),op(e0,e0)))
| op(e0,e0) != e3
| e1 != op(op(e0,e0),op(e0,e0)) ),
inference(cnf_transformation,[],[f52]) ).
fof(f52,plain,
( e2 != op(e0,op(op(e0,e0),op(e0,e0)))
| op(e0,e0) != e3
| e1 != op(op(e0,e0),op(e0,e0)) ),
inference(ennf_transformation,[],[f17]) ).
fof(f17,axiom,
~ ( e2 = op(e0,op(op(e0,e0),op(e0,e0)))
& op(e0,e0) = e3
& e1 = op(op(e0,e0),op(e0,e0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax17) ).
fof(f13651,plain,
( ~ spl3_113
| spl3_39
| ~ spl3_123 ),
inference(avatar_split_clause,[],[f11425,f1981,f459,f1004]) ).
fof(f11425,plain,
( e2 != op(e1,e0)
| spl3_39
| ~ spl3_123 ),
inference(superposition,[],[f461,f1983]) ).
fof(f13552,plain,
( spl3_5
| spl3_3
| spl3_6
| ~ spl3_63
| ~ spl3_92
| ~ spl3_99
| ~ spl3_113 ),
inference(avatar_split_clause,[],[f13539,f1004,f764,f708,f575,f294,f279,f289]) ).
fof(f13539,plain,
( e2 = e3
| e0 = e3
| e1 = e3
| ~ spl3_63
| ~ spl3_92
| ~ spl3_99
| ~ spl3_113 ),
inference(duplicate_literal_removal,[],[f13538]) ).
fof(f13538,plain,
( e2 = e3
| e0 = e3
| e2 = e3
| e1 = e3
| ~ spl3_63
| ~ spl3_92
| ~ spl3_99
| ~ spl3_113 ),
inference(forward_demodulation,[],[f13537,f576]) ).
fof(f13537,plain,
( e0 = e3
| e2 = e3
| e1 = e3
| op(e0,e0) = e3
| ~ spl3_92
| ~ spl3_99
| ~ spl3_113 ),
inference(forward_demodulation,[],[f12655,f710]) ).
fof(f12655,plain,
( e2 = e3
| e1 = e3
| e3 = op(e3,e0)
| op(e0,e0) = e3
| ~ spl3_99
| ~ spl3_113 ),
inference(forward_demodulation,[],[f8598,f1006]) ).
fof(f8598,plain,
( e1 = e3
| e3 = op(e3,e0)
| e3 = op(e1,e0)
| op(e0,e0) = e3
| ~ spl3_99 ),
inference(forward_demodulation,[],[f122,f766]) ).
fof(f122,plain,
( e3 = op(e3,e0)
| e3 = op(e2,e0)
| e3 = op(e1,e0)
| op(e0,e0) = e3 ),
inference(cnf_transformation,[],[f2]) ).
fof(f13535,plain,
( spl3_99
| spl3_1
| spl3_4
| ~ spl3_63
| ~ spl3_92
| ~ spl3_113 ),
inference(avatar_split_clause,[],[f13518,f1004,f708,f575,f284,f269,f764]) ).
fof(f13518,plain,
( e1 = e2
| e0 = e1
| e1 = op(e2,e0)
| ~ spl3_63
| ~ spl3_92
| ~ spl3_113 ),
inference(duplicate_literal_removal,[],[f13517]) ).
fof(f13517,plain,
( e1 = e2
| e1 = e2
| e0 = e1
| e1 = op(e2,e0)
| ~ spl3_63
| ~ spl3_92
| ~ spl3_113 ),
inference(forward_demodulation,[],[f13516,f576]) ).
fof(f13516,plain,
( e1 = e2
| e0 = e1
| e1 = op(e2,e0)
| op(e0,e0) = e1
| ~ spl3_92
| ~ spl3_113 ),
inference(forward_demodulation,[],[f12138,f1006]) ).
fof(f12138,plain,
( e0 = e1
| e1 = op(e2,e0)
| e1 = op(e1,e0)
| op(e0,e0) = e1
| ~ spl3_92 ),
inference(forward_demodulation,[],[f118,f710]) ).
fof(f13529,plain,
( spl3_92
| ~ spl3_111
| ~ spl3_131 ),
inference(avatar_split_clause,[],[f6154,f6037,f895,f708]) ).
fof(f13514,plain,
( ~ spl3_91
| ~ spl3_64
| spl3_137 ),
inference(avatar_split_clause,[],[f13416,f13412,f579,f704]) ).
fof(f13416,plain,
( e0 != op(e2,e0)
| ~ spl3_64
| spl3_137 ),
inference(forward_demodulation,[],[f13414,f581]) ).
fof(f13417,plain,
( spl3_79
| spl3_3
| spl3_2
| spl3_1
| ~ spl3_80
| ~ spl3_115
| ~ spl3_122 ),
inference(avatar_split_clause,[],[f13359,f1828,f1143,f651,f269,f274,f279,f647]) ).
fof(f651,plain,
( spl3_80
<=> e3 = op(e3,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_80])]) ).
fof(f13359,plain,
( e0 = e1
| e0 = e2
| e0 = e3
| e0 = op(e3,e3)
| ~ spl3_80
| ~ spl3_115
| ~ spl3_122 ),
inference(forward_demodulation,[],[f10155,f1830]) ).
fof(f10155,plain,
( e0 = e2
| e0 = e3
| e0 = op(e3,e3)
| e0 = op(e3,e2)
| ~ spl3_80
| ~ spl3_115 ),
inference(forward_demodulation,[],[f7092,f1145]) ).
fof(f7092,plain,
( e0 = e3
| e0 = op(e3,e3)
| e0 = op(e3,e2)
| e0 = op(e3,e1)
| ~ spl3_80 ),
inference(forward_demodulation,[],[f139,f653]) ).
fof(f653,plain,
( e3 = op(e3,e0)
| ~ spl3_80 ),
inference(avatar_component_clause,[],[f651]) ).
fof(f13415,plain,
( ~ spl3_59
| ~ spl3_137 ),
inference(avatar_split_clause,[],[f173,f13412,f557]) ).
fof(f13409,plain,
( ~ spl3_59
| ~ spl3_136 ),
inference(avatar_split_clause,[],[f172,f13406,f557]) ).
fof(f13406,plain,
( spl3_136
<=> op(e0,e1) = op(e1,op(e0,e1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_136])]) ).
fof(f13328,plain,
( spl3_81
| spl3_5
| spl3_4
| spl3_1
| ~ spl3_66
| ~ spl3_120
| ~ spl3_123 ),
inference(avatar_split_clause,[],[f13306,f1981,f1300,f588,f269,f284,f289,f656]) ).
fof(f13306,plain,
( e0 = e1
| e1 = e2
| e1 = e3
| e1 = op(e3,e3)
| ~ spl3_66
| ~ spl3_120
| ~ spl3_123 ),
inference(forward_demodulation,[],[f12847,f590]) ).
fof(f12847,plain,
( e1 = e2
| e1 = e3
| e1 = op(e3,e3)
| e1 = op(e0,e3)
| ~ spl3_120
| ~ spl3_123 ),
inference(forward_demodulation,[],[f4995,f1983]) ).
fof(f13287,plain,
( spl3_124
| spl3_2
| spl3_3
| spl3_1
| ~ spl3_97
| ~ spl3_99
| ~ spl3_134 ),
inference(avatar_split_clause,[],[f12714,f7304,f764,f745,f269,f279,f274,f2038]) ).
fof(f12714,plain,
( e0 = e1
| e0 = e3
| e0 = e2
| e0 = op(e2,e3)
| ~ spl3_97
| ~ spl3_99
| ~ spl3_134 ),
inference(forward_demodulation,[],[f10319,f766]) ).
fof(f10319,plain,
( e0 = e3
| e0 = e2
| e0 = op(e2,e3)
| e0 = op(e2,e0)
| ~ spl3_97
| ~ spl3_134 ),
inference(forward_demodulation,[],[f10245,f7305]) ).
fof(f10245,plain,
( e0 = e2
| e0 = op(e2,e3)
| e0 = op(e2,e1)
| e0 = op(e2,e0)
| ~ spl3_97 ),
inference(forward_demodulation,[],[f131,f747]) ).
fof(f13244,plain,
( spl3_112
| spl3_2
| spl3_4
| spl3_6
| ~ spl3_65
| ~ spl3_90
| ~ spl3_99 ),
inference(avatar_split_clause,[],[f12406,f764,f700,f584,f294,f284,f274,f992]) ).
fof(f700,plain,
( spl3_90
<=> e0 = op(e1,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_90])]) ).
fof(f12406,plain,
( e2 = e3
| e1 = e2
| e0 = e2
| e2 = op(e3,e0)
| ~ spl3_65
| ~ spl3_90
| ~ spl3_99 ),
inference(forward_demodulation,[],[f10057,f585]) ).
fof(f10057,plain,
( e1 = e2
| e0 = e2
| e2 = op(e3,e0)
| op(e0,e0) = e2
| ~ spl3_90
| ~ spl3_99 ),
inference(forward_demodulation,[],[f2221,f766]) ).
fof(f2221,plain,
( e0 = e2
| e2 = op(e3,e0)
| e2 = op(e2,e0)
| op(e0,e0) = e2
| ~ spl3_90 ),
inference(forward_demodulation,[],[f120,f702]) ).
fof(f702,plain,
( e0 = op(e1,e0)
| ~ spl3_90 ),
inference(avatar_component_clause,[],[f700]) ).
fof(f13210,plain,
( spl3_83
| spl3_2
| spl3_4
| spl3_6
| ~ spl3_82
| ~ spl3_100
| ~ spl3_116 ),
inference(avatar_split_clause,[],[f13107,f1173,f768,f660,f294,f284,f274,f665]) ).
fof(f13107,plain,
( e2 = e3
| e1 = e2
| e0 = e2
| e2 = op(e3,e3)
| ~ spl3_82
| ~ spl3_100
| ~ spl3_116 ),
inference(forward_demodulation,[],[f4264,f662]) ).
fof(f4264,plain,
( e1 = e2
| e0 = e2
| e2 = op(e3,e3)
| e2 = op(e3,e1)
| ~ spl3_100
| ~ spl3_116 ),
inference(forward_demodulation,[],[f2677,f770]) ).
fof(f2677,plain,
( e0 = e2
| e2 = op(e3,e3)
| e2 = op(e3,e1)
| e2 = op(e3,e0)
| ~ spl3_116 ),
inference(forward_demodulation,[],[f143,f1175]) ).
fof(f13201,plain,
( spl3_102
| spl3_3
| spl3_1
| spl3_2
| ~ spl3_96
| ~ spl3_103
| ~ spl3_134 ),
inference(avatar_split_clause,[],[f12983,f7304,f795,f741,f274,f269,f279,f782]) ).
fof(f12983,plain,
( e0 = e2
| e0 = e1
| e0 = e3
| e0 = op(e3,e1)
| ~ spl3_96
| ~ spl3_103
| ~ spl3_134 ),
inference(forward_demodulation,[],[f12713,f797]) ).
fof(f12713,plain,
( e0 = e1
| e0 = e3
| e0 = op(e3,e1)
| e0 = op(e0,e1)
| ~ spl3_96
| ~ spl3_134 ),
inference(forward_demodulation,[],[f11343,f743]) ).
fof(f11343,plain,
( e0 = e3
| e0 = op(e3,e1)
| e0 = op(e1,e1)
| e0 = op(e0,e1)
| ~ spl3_134 ),
inference(forward_demodulation,[],[f124,f7305]) ).
fof(f124,plain,
( e0 = op(e3,e1)
| e0 = op(e2,e1)
| e0 = op(e1,e1)
| e0 = op(e0,e1) ),
inference(cnf_transformation,[],[f2]) ).
fof(f13192,plain,
( spl3_91
| ~ spl3_87
| ~ spl3_116 ),
inference(avatar_split_clause,[],[f13010,f1173,f684,f704]) ).
fof(f13010,plain,
( e0 = op(e2,e0)
| ~ spl3_87
| ~ spl3_116 ),
inference(forward_demodulation,[],[f685,f1175]) ).
fof(f13144,plain,
( spl3_81
| spl3_5
| spl3_1
| ~ spl3_66
| ~ spl3_111
| ~ spl3_120 ),
inference(avatar_split_clause,[],[f13128,f1300,f895,f588,f269,f289,f656]) ).
fof(f13128,plain,
( e0 = e1
| e1 = e3
| e1 = op(e3,e3)
| ~ spl3_66
| ~ spl3_111
| ~ spl3_120 ),
inference(duplicate_literal_removal,[],[f13127]) ).
fof(f13127,plain,
( e0 = e1
| e0 = e1
| e1 = e3
| e1 = op(e3,e3)
| ~ spl3_66
| ~ spl3_111
| ~ spl3_120 ),
inference(forward_demodulation,[],[f13126,f590]) ).
fof(f13126,plain,
( e0 = e1
| e1 = e3
| e1 = op(e3,e3)
| e1 = op(e0,e3)
| ~ spl3_111
| ~ spl3_120 ),
inference(forward_demodulation,[],[f5998,f897]) ).
fof(f13106,plain,
( spl3_83
| spl3_4
| spl3_2
| ~ spl3_66
| ~ spl3_111
| ~ spl3_125 ),
inference(avatar_split_clause,[],[f13090,f2759,f895,f588,f274,f284,f665]) ).
fof(f13090,plain,
( e0 = e2
| e1 = e2
| e2 = op(e3,e3)
| ~ spl3_66
| ~ spl3_111
| ~ spl3_125 ),
inference(duplicate_literal_removal,[],[f13089]) ).
fof(f13089,plain,
( e0 = e2
| e1 = e2
| e0 = e2
| e2 = op(e3,e3)
| ~ spl3_66
| ~ spl3_111
| ~ spl3_125 ),
inference(forward_demodulation,[],[f12884,f590]) ).
fof(f12884,plain,
( e1 = e2
| e0 = e2
| e2 = op(e3,e3)
| e2 = op(e0,e3)
| ~ spl3_111
| ~ spl3_125 ),
inference(forward_demodulation,[],[f2159,f2760]) ).
fof(f2159,plain,
( e0 = e2
| e2 = op(e3,e3)
| e2 = op(e2,e3)
| e2 = op(e0,e3)
| ~ spl3_111 ),
inference(forward_demodulation,[],[f144,f897]) ).
fof(f144,plain,
( e2 = op(e3,e3)
| e2 = op(e2,e3)
| e2 = op(e1,e3)
| e2 = op(e0,e3) ),
inference(cnf_transformation,[],[f2]) ).
fof(f13104,plain,
( ~ spl3_59
| ~ spl3_135 ),
inference(avatar_split_clause,[],[f174,f13101,f557]) ).
fof(f13088,plain,
( spl3_4
| spl3_2
| ~ spl3_65
| ~ spl3_66
| ~ spl3_101
| ~ spl3_111
| ~ spl3_125
| ~ spl3_134 ),
inference(avatar_split_clause,[],[f13086,f7304,f2759,f895,f778,f588,f584,f274,f284]) ).
fof(f13086,plain,
( e0 = e2
| e1 = e2
| ~ spl3_65
| ~ spl3_66
| ~ spl3_101
| ~ spl3_111
| ~ spl3_125
| ~ spl3_134 ),
inference(duplicate_literal_removal,[],[f13085]) ).
fof(f13085,plain,
( e0 = e2
| e0 = e2
| e1 = e2
| ~ spl3_65
| ~ spl3_66
| ~ spl3_101
| ~ spl3_111
| ~ spl3_125
| ~ spl3_134 ),
inference(forward_demodulation,[],[f13084,f590]) ).
fof(f13084,plain,
( e0 = e2
| e1 = e2
| e2 = op(e0,e3)
| ~ spl3_65
| ~ spl3_101
| ~ spl3_111
| ~ spl3_125
| ~ spl3_134 ),
inference(duplicate_literal_removal,[],[f13083]) ).
fof(f13083,plain,
( e0 = e2
| e1 = e2
| e0 = e2
| e2 = op(e0,e3)
| ~ spl3_65
| ~ spl3_101
| ~ spl3_111
| ~ spl3_125
| ~ spl3_134 ),
inference(forward_demodulation,[],[f13082,f13063]) ).
fof(f13082,plain,
( e2 = e3
| e1 = e2
| e0 = e2
| e2 = op(e0,e3)
| ~ spl3_65
| ~ spl3_101
| ~ spl3_111
| ~ spl3_125
| ~ spl3_134 ),
inference(forward_demodulation,[],[f13081,f585]) ).
fof(f13081,plain,
( op(e0,e0) = e2
| e1 = e2
| e0 = e2
| e2 = op(e0,e3)
| ~ spl3_101
| ~ spl3_111
| ~ spl3_125
| ~ spl3_134 ),
inference(forward_demodulation,[],[f12884,f13063]) ).
fof(f13073,plain,
( spl3_6
| spl3_2
| spl3_4
| ~ spl3_81
| ~ spl3_82
| ~ spl3_100
| ~ spl3_116 ),
inference(avatar_split_clause,[],[f13012,f1173,f768,f660,f656,f284,f274,f294]) ).
fof(f13012,plain,
( e1 = e2
| e0 = e2
| e2 = e3
| ~ spl3_81
| ~ spl3_82
| ~ spl3_100
| ~ spl3_116 ),
inference(duplicate_literal_removal,[],[f13011]) ).
fof(f13011,plain,
( e1 = e2
| e0 = e2
| e1 = e2
| e2 = e3
| ~ spl3_81
| ~ spl3_82
| ~ spl3_100
| ~ spl3_116 ),
inference(forward_demodulation,[],[f12331,f770]) ).
fof(f12331,plain,
( e0 = e2
| e1 = e2
| e2 = e3
| e2 = op(e3,e0)
| ~ spl3_81
| ~ spl3_82
| ~ spl3_116 ),
inference(forward_demodulation,[],[f12330,f1175]) ).
fof(f13031,plain,
( spl3_3
| ~ spl3_56
| ~ spl3_65
| ~ spl3_91 ),
inference(avatar_split_clause,[],[f13029,f704,f584,f543,f279]) ).
fof(f13029,plain,
( e0 = e3
| ~ spl3_56
| ~ spl3_65
| ~ spl3_91 ),
inference(forward_demodulation,[],[f585,f6022]) ).
fof(f6022,plain,
( e0 = op(e0,e0)
| ~ spl3_56
| ~ spl3_91 ),
inference(superposition,[],[f544,f706]) ).
fof(f12948,plain,
( spl3_83
| spl3_6
| spl3_4
| spl3_2
| ~ spl3_109
| ~ spl3_111
| ~ spl3_125 ),
inference(avatar_split_clause,[],[f12887,f2759,f895,f831,f274,f284,f294,f665]) ).
fof(f12887,plain,
( e0 = e2
| e1 = e2
| e2 = e3
| e2 = op(e3,e3)
| ~ spl3_109
| ~ spl3_111
| ~ spl3_125 ),
inference(forward_demodulation,[],[f12886,f897]) ).
fof(f12886,plain,
( e1 = e2
| e2 = e3
| e2 = op(e3,e3)
| e2 = op(e1,e3)
| ~ spl3_109
| ~ spl3_125 ),
inference(forward_demodulation,[],[f6168,f2760]) ).
fof(f6168,plain,
( e2 = e3
| e2 = op(e3,e3)
| e2 = op(e2,e3)
| e2 = op(e1,e3)
| ~ spl3_109 ),
inference(forward_demodulation,[],[f144,f833]) ).
fof(f12899,plain,
( ~ spl3_57
| ~ spl3_96 ),
inference(avatar_split_clause,[],[f11644,f741,f548]) ).
fof(f11644,plain,
( ~ sP1
| ~ spl3_96 ),
inference(trivial_inequality_removal,[],[f4520]) ).
fof(f12860,plain,
( spl3_81
| spl3_1
| spl3_4
| ~ spl3_112
| ~ spl3_115
| ~ spl3_116 ),
inference(avatar_split_clause,[],[f12753,f1173,f1143,f992,f284,f269,f656]) ).
fof(f12753,plain,
( e1 = e2
| e0 = e1
| e1 = op(e3,e3)
| ~ spl3_112
| ~ spl3_115
| ~ spl3_116 ),
inference(duplicate_literal_removal,[],[f12752]) ).
fof(f12752,plain,
( e1 = e2
| e1 = e2
| e0 = e1
| e1 = op(e3,e3)
| ~ spl3_112
| ~ spl3_115
| ~ spl3_116 ),
inference(forward_demodulation,[],[f11442,f1145]) ).
fof(f11442,plain,
( e1 = e2
| e0 = e1
| e1 = op(e3,e3)
| e1 = op(e3,e1)
| ~ spl3_112
| ~ spl3_116 ),
inference(forward_demodulation,[],[f11084,f994]) ).
fof(f11084,plain,
( e0 = e1
| e1 = op(e3,e3)
| e1 = op(e3,e1)
| e1 = op(e3,e0)
| ~ spl3_116 ),
inference(forward_demodulation,[],[f141,f1175]) ).
fof(f141,plain,
( e1 = op(e3,e3)
| e1 = op(e3,e2)
| e1 = op(e3,e1)
| e1 = op(e3,e0) ),
inference(cnf_transformation,[],[f2]) ).
fof(f12828,plain,
( spl3_79
| spl3_2
| spl3_1
| ~ spl3_105
| ~ spl3_123
| ~ spl3_125 ),
inference(avatar_split_clause,[],[f12740,f2759,f1981,f803,f269,f274,f647]) ).
fof(f12740,plain,
( e0 = e1
| e0 = e2
| e0 = op(e3,e3)
| ~ spl3_105
| ~ spl3_123
| ~ spl3_125 ),
inference(forward_demodulation,[],[f10388,f2760]) ).
fof(f10388,plain,
( e0 = e2
| e0 = op(e3,e3)
| e0 = op(e2,e3)
| ~ spl3_105
| ~ spl3_123 ),
inference(duplicate_literal_removal,[],[f4238]) ).
fof(f4238,plain,
( e0 = e2
| e0 = e2
| e0 = op(e3,e3)
| e0 = op(e2,e3)
| ~ spl3_105
| ~ spl3_123 ),
inference(forward_demodulation,[],[f3033,f805]) ).
fof(f12715,plain,
( spl3_102
| spl3_3
| spl3_1
| ~ spl3_96
| ~ spl3_107
| ~ spl3_134 ),
inference(avatar_split_clause,[],[f12709,f7304,f823,f741,f269,f279,f782]) ).
fof(f12709,plain,
( e0 = e1
| e0 = e3
| e0 = op(e3,e1)
| ~ spl3_96
| ~ spl3_107
| ~ spl3_134 ),
inference(forward_demodulation,[],[f12450,f743]) ).
fof(f12450,plain,
( e0 = e3
| e0 = op(e3,e1)
| e0 = op(e1,e1)
| ~ spl3_107
| ~ spl3_134 ),
inference(duplicate_literal_removal,[],[f12449]) ).
fof(f12449,plain,
( e0 = e3
| e0 = e3
| e0 = op(e3,e1)
| e0 = op(e1,e1)
| ~ spl3_107
| ~ spl3_134 ),
inference(forward_demodulation,[],[f1628,f7305]) ).
fof(f1628,plain,
( e0 = e3
| e0 = op(e3,e1)
| e0 = op(e2,e1)
| e0 = op(e1,e1)
| ~ spl3_107 ),
inference(forward_demodulation,[],[f124,f825]) ).
fof(f12706,plain,
( spl3_134
| spl3_6
| spl3_5
| ~ spl3_97
| ~ spl3_99
| ~ spl3_125 ),
inference(avatar_split_clause,[],[f12696,f2759,f764,f745,f289,f294,f7304]) ).
fof(f12696,plain,
( e1 = e3
| e2 = e3
| e3 = op(e2,e1)
| ~ spl3_97
| ~ spl3_99
| ~ spl3_125 ),
inference(duplicate_literal_removal,[],[f12695]) ).
fof(f12695,plain,
( e1 = e3
| e2 = e3
| e1 = e3
| e3 = op(e2,e1)
| ~ spl3_97
| ~ spl3_99
| ~ spl3_125 ),
inference(forward_demodulation,[],[f12694,f766]) ).
fof(f12694,plain,
( e2 = e3
| e1 = e3
| e3 = op(e2,e1)
| e3 = op(e2,e0)
| ~ spl3_97
| ~ spl3_125 ),
inference(forward_demodulation,[],[f7047,f747]) ).
fof(f7047,plain,
( e1 = e3
| e3 = op(e2,e2)
| e3 = op(e2,e1)
| e3 = op(e2,e0)
| ~ spl3_125 ),
inference(forward_demodulation,[],[f137,f2760]) ).
fof(f12685,plain,
( spl3_81
| spl3_5
| spl3_1
| spl3_4
| ~ spl3_105
| ~ spl3_111
| ~ spl3_120 ),
inference(avatar_split_clause,[],[f12576,f1300,f895,f803,f284,f269,f289,f656]) ).
fof(f12576,plain,
( e1 = e2
| e0 = e1
| e1 = e3
| e1 = op(e3,e3)
| ~ spl3_105
| ~ spl3_111
| ~ spl3_120 ),
inference(forward_demodulation,[],[f12575,f805]) ).
fof(f12575,plain,
( e0 = e1
| e1 = e3
| e1 = op(e3,e3)
| e1 = op(e0,e3)
| ~ spl3_111
| ~ spl3_120 ),
inference(forward_demodulation,[],[f4995,f897]) ).
fof(f12665,plain,
( ~ spl3_57
| ~ spl3_96 ),
inference(avatar_split_clause,[],[f11644,f741,f548]) ).
fof(f12627,plain,
( spl3_96
| spl3_5
| spl3_1
| spl3_4
| ~ spl3_106
| ~ spl3_111
| ~ spl3_113 ),
inference(avatar_split_clause,[],[f6008,f1004,f895,f816,f284,f269,f289,f741]) ).
fof(f6008,plain,
( e1 = e2
| e0 = e1
| e1 = e3
| e1 = op(e1,e1)
| ~ spl3_106
| ~ spl3_111
| ~ spl3_113 ),
inference(forward_demodulation,[],[f5286,f1006]) ).
fof(f5286,plain,
( e0 = e1
| e1 = e3
| e1 = op(e1,e1)
| e1 = op(e1,e0)
| ~ spl3_106
| ~ spl3_111 ),
inference(forward_demodulation,[],[f1783,f897]) ).
fof(f1783,plain,
( e1 = e3
| e1 = op(e1,e3)
| e1 = op(e1,e1)
| e1 = op(e1,e0)
| ~ spl3_106 ),
inference(forward_demodulation,[],[f125,f817]) ).
fof(f12573,plain,
( spl3_6
| ~ spl3_82
| ~ spl3_115 ),
inference(avatar_split_clause,[],[f12483,f1143,f660,f294]) ).
fof(f12483,plain,
( e2 = e3
| ~ spl3_82
| ~ spl3_115 ),
inference(superposition,[],[f1145,f662]) ).
fof(f12522,plain,
( spl3_75
| ~ spl3_82
| ~ spl3_115
| ~ spl3_125 ),
inference(avatar_split_clause,[],[f12521,f2759,f1143,f660,f629]) ).
fof(f12521,plain,
( e1 = op(e2,e2)
| ~ spl3_82
| ~ spl3_115
| ~ spl3_125 ),
inference(forward_demodulation,[],[f2760,f12483]) ).
fof(f12506,plain,
( spl3_125
| spl3_4
| spl3_5
| ~ spl3_97
| ~ spl3_118
| ~ spl3_134 ),
inference(avatar_split_clause,[],[f12436,f7304,f1188,f745,f289,f284,f2759]) ).
fof(f12436,plain,
( e1 = e3
| e1 = e2
| e1 = op(e2,e3)
| ~ spl3_97
| ~ spl3_118
| ~ spl3_134 ),
inference(duplicate_literal_removal,[],[f12435]) ).
fof(f12435,plain,
( e1 = e3
| e1 = e2
| e1 = e3
| e1 = op(e2,e3)
| ~ spl3_97
| ~ spl3_118
| ~ spl3_134 ),
inference(forward_demodulation,[],[f12434,f7305]) ).
fof(f12434,plain,
( e1 = e2
| e1 = e3
| e1 = op(e2,e3)
| e1 = op(e2,e1)
| ~ spl3_97
| ~ spl3_118 ),
inference(forward_demodulation,[],[f9240,f747]) ).
fof(f9240,plain,
( e1 = e3
| e1 = op(e2,e3)
| e1 = op(e2,e2)
| e1 = op(e2,e1)
| ~ spl3_118 ),
inference(forward_demodulation,[],[f133,f1190]) ).
fof(f12411,plain,
( spl3_5
| spl3_6
| spl3_3
| ~ spl3_66
| ~ spl3_81
| ~ spl3_123
| ~ spl3_124 ),
inference(avatar_split_clause,[],[f12324,f2038,f1981,f656,f588,f279,f294,f289]) ).
fof(f12324,plain,
( e0 = e3
| e2 = e3
| e1 = e3
| ~ spl3_66
| ~ spl3_81
| ~ spl3_123
| ~ spl3_124 ),
inference(duplicate_literal_removal,[],[f12323]) ).
fof(f12323,plain,
( e0 = e3
| e2 = e3
| e0 = e3
| e1 = e3
| ~ spl3_66
| ~ spl3_81
| ~ spl3_123
| ~ spl3_124 ),
inference(forward_demodulation,[],[f12322,f590]) ).
fof(f12322,plain,
( e2 = e3
| e0 = e3
| e1 = e3
| e3 = op(e0,e3)
| ~ spl3_81
| ~ spl3_123
| ~ spl3_124 ),
inference(forward_demodulation,[],[f12321,f1983]) ).
fof(f12321,plain,
( e0 = e3
| e1 = e3
| e3 = op(e1,e3)
| e3 = op(e0,e3)
| ~ spl3_81
| ~ spl3_124 ),
inference(forward_demodulation,[],[f4590,f2040]) ).
fof(f4590,plain,
( e1 = e3
| e3 = op(e2,e3)
| e3 = op(e1,e3)
| e3 = op(e0,e3)
| ~ spl3_81 ),
inference(forward_demodulation,[],[f146,f657]) ).
fof(f12395,plain,
( spl3_92
| ~ spl3_124
| ~ spl3_129 ),
inference(avatar_split_clause,[],[f12231,f5399,f2038,f708]) ).
fof(f12307,plain,
( spl3_6
| ~ spl3_82
| ~ spl3_86
| ~ spl3_123 ),
inference(avatar_split_clause,[],[f12258,f1981,f679,f660,f294]) ).
fof(f12258,plain,
( e2 = e3
| ~ spl3_82
| ~ spl3_86
| ~ spl3_123 ),
inference(forward_demodulation,[],[f11788,f1983]) ).
fof(f11788,plain,
( e3 = op(e1,e3)
| ~ spl3_82
| ~ spl3_86 ),
inference(superposition,[],[f680,f662]) ).
fof(f12214,plain,
( ~ spl3_127
| ~ spl3_70
| spl3_132 ),
inference(avatar_split_clause,[],[f12083,f6106,f606,f4493]) ).
fof(f12083,plain,
( e1 != op(e2,e1)
| ~ spl3_70
| spl3_132 ),
inference(superposition,[],[f6108,f608]) ).
fof(f12212,plain,
( ~ spl3_61
| spl3_33
| ~ spl3_95 ),
inference(avatar_split_clause,[],[f11933,f725,f429,f566]) ).
fof(f429,plain,
( spl3_33
<=> op(e0,e0) = op(e0,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_33])]) ).
fof(f11933,plain,
( op(e0,e0) != e1
| spl3_33
| ~ spl3_95 ),
inference(superposition,[],[f431,f727]) ).
fof(f431,plain,
( op(e0,e0) != op(e0,e3)
| spl3_33 ),
inference(avatar_component_clause,[],[f429]) ).
fof(f12210,plain,
( ~ spl3_89
| spl3_32
| ~ spl3_64 ),
inference(avatar_split_clause,[],[f11932,f579,f424,f694]) ).
fof(f694,plain,
( spl3_89
<=> e0 = op(e0,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_89])]) ).
fof(f424,plain,
( spl3_32
<=> op(e0,e0) = op(e0,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_32])]) ).
fof(f11932,plain,
( e0 != op(e0,e0)
| spl3_32
| ~ spl3_64 ),
inference(superposition,[],[f426,f581]) ).
fof(f426,plain,
( op(e0,e0) != op(e0,e2)
| spl3_32 ),
inference(avatar_component_clause,[],[f424]) ).
fof(f12208,plain,
( ~ spl3_106
| spl3_42
| ~ spl3_119 ),
inference(avatar_split_clause,[],[f11784,f1247,f474,f816]) ).
fof(f11784,plain,
( e3 != op(e1,e2)
| spl3_42
| ~ spl3_119 ),
inference(superposition,[],[f476,f1249]) ).
fof(f12206,plain,
( ~ spl3_90
| spl3_86
| ~ spl3_102 ),
inference(avatar_split_clause,[],[f11641,f782,f679,f700]) ).
fof(f11641,plain,
( e0 != op(e1,e0)
| spl3_86
| ~ spl3_102 ),
inference(superposition,[],[f681,f784]) ).
fof(f12204,plain,
( ~ spl3_92
| ~ spl3_124
| spl3_129 ),
inference(avatar_split_clause,[],[f10371,f5399,f2038,f708]) ).
fof(f10371,plain,
( e0 != op(e3,e0)
| ~ spl3_124
| spl3_129 ),
inference(superposition,[],[f5401,f2040]) ).
fof(f12202,plain,
( ~ spl3_126
| spl3_22
| ~ spl3_97 ),
inference(avatar_split_clause,[],[f10197,f745,f374,f3399]) ).
fof(f374,plain,
( spl3_22
<=> op(e1,e2) = op(e2,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_22])]) ).
fof(f10197,plain,
( e2 != op(e1,e2)
| spl3_22
| ~ spl3_97 ),
inference(superposition,[],[f376,f747]) ).
fof(f376,plain,
( op(e1,e2) != op(e2,e2)
| spl3_22 ),
inference(avatar_component_clause,[],[f374]) ).
fof(f12200,plain,
( ~ spl3_62
| spl3_34
| ~ spl3_64 ),
inference(avatar_split_clause,[],[f8235,f579,f434,f570]) ).
fof(f8235,plain,
( e0 != op(e0,e1)
| spl3_34
| ~ spl3_64 ),
inference(superposition,[],[f436,f581]) ).
fof(f12197,plain,
( ~ spl3_98
| ~ spl3_119
| spl3_131 ),
inference(avatar_split_clause,[],[f6835,f6037,f1247,f749]) ).
fof(f12147,plain,
( spl3_90
| spl3_111
| spl3_1
| spl3_2
| ~ spl3_69
| ~ spl3_70 ),
inference(avatar_split_clause,[],[f1220,f606,f602,f274,f269,f895,f700]) ).
fof(f1220,plain,
( e0 = e2
| e0 = e1
| e0 = op(e1,e3)
| e0 = op(e1,e0)
| ~ spl3_69
| ~ spl3_70 ),
inference(forward_demodulation,[],[f1219,f603]) ).
fof(f1219,plain,
( e0 = e1
| e0 = op(e1,e3)
| e0 = op(e1,e1)
| e0 = op(e1,e0)
| ~ spl3_70 ),
inference(forward_demodulation,[],[f123,f608]) ).
fof(f12143,plain,
( spl3_118
| spl3_3
| spl3_6
| spl3_5
| ~ spl3_97
| ~ spl3_124
| ~ spl3_127 ),
inference(avatar_split_clause,[],[f11021,f4493,f2038,f745,f289,f294,f279,f1188]) ).
fof(f11021,plain,
( e1 = e3
| e2 = e3
| e0 = e3
| e3 = op(e2,e0)
| ~ spl3_97
| ~ spl3_124
| ~ spl3_127 ),
inference(forward_demodulation,[],[f10567,f4494]) ).
fof(f4494,plain,
( e1 = op(e2,e1)
| ~ spl3_127 ),
inference(avatar_component_clause,[],[f4493]) ).
fof(f10567,plain,
( e2 = e3
| e0 = e3
| e3 = op(e2,e1)
| e3 = op(e2,e0)
| ~ spl3_97
| ~ spl3_124 ),
inference(forward_demodulation,[],[f8097,f747]) ).
fof(f8097,plain,
( e0 = e3
| e3 = op(e2,e2)
| e3 = op(e2,e1)
| e3 = op(e2,e0)
| ~ spl3_124 ),
inference(forward_demodulation,[],[f137,f2040]) ).
fof(f12126,plain,
( spl3_68
| spl3_5
| spl3_1
| spl3_4
| ~ spl3_63
| ~ spl3_92
| ~ spl3_118 ),
inference(avatar_split_clause,[],[f8317,f1188,f708,f575,f284,f269,f289,f597]) ).
fof(f8317,plain,
( e1 = e2
| e0 = e1
| e1 = e3
| e1 = op(e1,e0)
| ~ spl3_63
| ~ spl3_92
| ~ spl3_118 ),
inference(forward_demodulation,[],[f8316,f576]) ).
fof(f8316,plain,
( e0 = e1
| e1 = e3
| e1 = op(e1,e0)
| op(e0,e0) = e1
| ~ spl3_92
| ~ spl3_118 ),
inference(forward_demodulation,[],[f3616,f710]) ).
fof(f3616,plain,
( e1 = e3
| e1 = op(e3,e0)
| e1 = op(e1,e0)
| op(e0,e0) = e1
| ~ spl3_118 ),
inference(forward_demodulation,[],[f118,f1190]) ).
fof(f12020,plain,
( spl3_79
| spl3_2
| spl3_1
| ~ spl3_100
| ~ spl3_115
| ~ spl3_122 ),
inference(avatar_split_clause,[],[f12001,f1828,f1143,f768,f269,f274,f647]) ).
fof(f12001,plain,
( e0 = e1
| e0 = e2
| e0 = op(e3,e3)
| ~ spl3_100
| ~ spl3_115
| ~ spl3_122 ),
inference(duplicate_literal_removal,[],[f12000]) ).
fof(f12000,plain,
( e0 = e1
| e0 = e2
| e0 = e1
| e0 = op(e3,e3)
| ~ spl3_100
| ~ spl3_115
| ~ spl3_122 ),
inference(forward_demodulation,[],[f10161,f770]) ).
fof(f10161,plain,
( e0 = e2
| e0 = e1
| e0 = op(e3,e3)
| e0 = op(e3,e0)
| ~ spl3_115
| ~ spl3_122 ),
inference(forward_demodulation,[],[f3038,f1145]) ).
fof(f3038,plain,
( e0 = e1
| e0 = op(e3,e3)
| e0 = op(e3,e1)
| e0 = op(e3,e0)
| ~ spl3_122 ),
inference(forward_demodulation,[],[f139,f1830]) ).
fof(f11996,plain,
( spl3_122
| spl3_5
| spl3_4
| spl3_1
| ~ spl3_64
| ~ spl3_97
| ~ spl3_106 ),
inference(avatar_split_clause,[],[f3075,f816,f745,f579,f269,f284,f289,f1828]) ).
fof(f3075,plain,
( e0 = e1
| e1 = e2
| e1 = e3
| e1 = op(e3,e2)
| ~ spl3_64
| ~ spl3_97
| ~ spl3_106 ),
inference(forward_demodulation,[],[f3074,f581]) ).
fof(f3074,plain,
( e1 = e2
| e1 = e3
| e1 = op(e3,e2)
| e1 = op(e0,e2)
| ~ spl3_97
| ~ spl3_106 ),
inference(forward_demodulation,[],[f1743,f747]) ).
fof(f1743,plain,
( e1 = e3
| e1 = op(e3,e2)
| e1 = op(e2,e2)
| e1 = op(e0,e2)
| ~ spl3_106 ),
inference(forward_demodulation,[],[f134,f817]) ).
fof(f11981,plain,
( spl3_5
| spl3_4
| spl3_1
| ~ spl3_64
| ~ spl3_97
| ~ spl3_106
| ~ spl3_116 ),
inference(avatar_split_clause,[],[f11928,f1173,f816,f745,f579,f269,f284,f289]) ).
fof(f11928,plain,
( e0 = e1
| e1 = e2
| e1 = e3
| ~ spl3_64
| ~ spl3_97
| ~ spl3_106
| ~ spl3_116 ),
inference(duplicate_literal_removal,[],[f11927]) ).
fof(f11927,plain,
( e0 = e1
| e0 = e1
| e1 = e2
| e1 = e3
| ~ spl3_64
| ~ spl3_97
| ~ spl3_106
| ~ spl3_116 ),
inference(forward_demodulation,[],[f3075,f1175]) ).
fof(f11859,plain,
( ~ spl3_69
| ~ spl3_61
| ~ spl3_108 ),
inference(avatar_split_clause,[],[f11853,f827,f566,f602]) ).
fof(f11853,plain,
( e2 != op(e1,e1)
| ~ spl3_61
| ~ spl3_108 ),
inference(trivial_inequality_removal,[],[f11852]) ).
fof(f11845,plain,
( spl3_69
| spl3_123
| spl3_2
| spl3_4
| ~ spl3_70
| ~ spl3_90 ),
inference(avatar_split_clause,[],[f3361,f700,f606,f284,f274,f1981,f602]) ).
fof(f3361,plain,
( e1 = e2
| e0 = e2
| e2 = op(e1,e3)
| e2 = op(e1,e1)
| ~ spl3_70
| ~ spl3_90 ),
inference(forward_demodulation,[],[f3266,f608]) ).
fof(f3266,plain,
( e0 = e2
| e2 = op(e1,e3)
| e2 = op(e1,e2)
| e2 = op(e1,e1)
| ~ spl3_90 ),
inference(forward_demodulation,[],[f127,f702]) ).
fof(f11821,plain,
( ~ spl3_59
| ~ spl3_62
| ~ spl3_90 ),
inference(avatar_split_clause,[],[f5700,f700,f570,f557]) ).
fof(f5700,plain,
( ~ sP0
| ~ spl3_62
| ~ spl3_90 ),
inference(trivial_inequality_removal,[],[f4516]) ).
fof(f4516,plain,
( e0 != e0
| ~ sP0
| ~ spl3_62
| ~ spl3_90 ),
inference(forward_demodulation,[],[f4515,f702]) ).
fof(f4515,plain,
( e0 != op(e1,e0)
| ~ sP0
| ~ spl3_62 ),
inference(forward_demodulation,[],[f172,f572]) ).
fof(f11791,plain,
( spl3_6
| spl3_4
| spl3_2
| ~ spl3_81
| ~ spl3_82
| ~ spl3_92
| ~ spl3_122 ),
inference(avatar_split_clause,[],[f11722,f1828,f708,f660,f656,f274,f284,f294]) ).
fof(f11722,plain,
( e0 = e2
| e1 = e2
| e2 = e3
| ~ spl3_81
| ~ spl3_82
| ~ spl3_92
| ~ spl3_122 ),
inference(forward_demodulation,[],[f11721,f710]) ).
fof(f11721,plain,
( e1 = e2
| e2 = e3
| e2 = op(e3,e0)
| ~ spl3_81
| ~ spl3_82
| ~ spl3_122 ),
inference(duplicate_literal_removal,[],[f11720]) ).
fof(f11720,plain,
( e1 = e2
| e1 = e2
| e2 = e3
| e2 = op(e3,e0)
| ~ spl3_81
| ~ spl3_82
| ~ spl3_122 ),
inference(forward_demodulation,[],[f11184,f1830]) ).
fof(f11184,plain,
( e1 = e2
| e2 = e3
| e2 = op(e3,e2)
| e2 = op(e3,e0)
| ~ spl3_81
| ~ spl3_82 ),
inference(forward_demodulation,[],[f4700,f657]) ).
fof(f11713,plain,
( spl3_2
| ~ spl3_92
| ~ spl3_112 ),
inference(avatar_split_clause,[],[f8242,f992,f708,f274]) ).
fof(f8242,plain,
( e0 = e2
| ~ spl3_92
| ~ spl3_112 ),
inference(superposition,[],[f994,f710]) ).
fof(f11664,plain,
( ~ spl3_97
| ~ spl3_97
| spl3_128 ),
inference(avatar_split_clause,[],[f8185,f5393,f745,f745]) ).
fof(f5393,plain,
( spl3_128
<=> op(e2,e2) = op(e2,op(e2,e2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_128])]) ).
fof(f8185,plain,
( e2 != op(e2,e2)
| ~ spl3_97
| spl3_128 ),
inference(superposition,[],[f5395,f747]) ).
fof(f5395,plain,
( op(e2,e2) != op(e2,op(e2,e2))
| spl3_128 ),
inference(avatar_component_clause,[],[f5393]) ).
fof(f11662,plain,
( ~ spl3_74
| spl3_44
| ~ spl3_97 ),
inference(avatar_split_clause,[],[f8182,f745,f484,f624]) ).
fof(f8182,plain,
( e2 != op(e2,e0)
| spl3_44
| ~ spl3_97 ),
inference(superposition,[],[f486,f747]) ).
fof(f11652,plain,
( ~ spl3_96
| ~ spl3_96
| spl3_130 ),
inference(avatar_split_clause,[],[f6520,f5933,f741,f741]) ).
fof(f5933,plain,
( spl3_130
<=> op(e1,e1) = op(e1,op(e1,e1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_130])]) ).
fof(f6520,plain,
( e1 != op(e1,e1)
| ~ spl3_96
| spl3_130 ),
inference(superposition,[],[f5935,f743]) ).
fof(f5935,plain,
( op(e1,e1) != op(e1,op(e1,e1))
| spl3_130 ),
inference(avatar_component_clause,[],[f5933]) ).
fof(f11651,plain,
( ~ spl3_101
| spl3_47
| ~ spl3_124 ),
inference(avatar_split_clause,[],[f6214,f2038,f499,f778]) ).
fof(f6214,plain,
( e0 != op(e2,e1)
| spl3_47
| ~ spl3_124 ),
inference(superposition,[],[f501,f2040]) ).
fof(f11643,plain,
( spl3_96
| spl3_72
| spl3_1
| spl3_5
| ~ spl3_110
| ~ spl3_117 ),
inference(avatar_split_clause,[],[f10404,f1184,f891,f289,f269,f615,f741]) ).
fof(f615,plain,
( spl3_72
<=> e1 = op(e1,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_72])]) ).
fof(f10404,plain,
( e1 = e3
| e0 = e1
| e1 = op(e1,e3)
| e1 = op(e1,e1)
| ~ spl3_110
| ~ spl3_117 ),
inference(forward_demodulation,[],[f6818,f1186]) ).
fof(f6818,plain,
( e0 = e1
| e1 = op(e1,e3)
| e1 = op(e1,e1)
| e1 = op(e1,e0)
| ~ spl3_110 ),
inference(forward_demodulation,[],[f125,f893]) ).
fof(f11603,plain,
( spl3_98
| spl3_3
| spl3_5
| spl3_6
| ~ spl3_95
| ~ spl3_123
| ~ spl3_124 ),
inference(avatar_split_clause,[],[f2382,f2038,f1981,f725,f294,f289,f279,f749]) ).
fof(f2382,plain,
( e2 = e3
| e1 = e3
| e0 = e3
| e3 = op(e3,e3)
| ~ spl3_95
| ~ spl3_123
| ~ spl3_124 ),
inference(forward_demodulation,[],[f2359,f1983]) ).
fof(f2359,plain,
( e1 = e3
| e0 = e3
| e3 = op(e3,e3)
| e3 = op(e1,e3)
| ~ spl3_95
| ~ spl3_124 ),
inference(forward_demodulation,[],[f2358,f727]) ).
fof(f2358,plain,
( e0 = e3
| e3 = op(e3,e3)
| e3 = op(e1,e3)
| e3 = op(e0,e3)
| ~ spl3_124 ),
inference(forward_demodulation,[],[f146,f2040]) ).
fof(f11577,plain,
( spl3_79
| spl3_1
| spl3_2
| ~ spl3_112
| ~ spl3_114
| ~ spl3_122 ),
inference(avatar_split_clause,[],[f11567,f1828,f1126,f992,f274,f269,f647]) ).
fof(f11567,plain,
( e0 = e2
| e0 = e1
| e0 = op(e3,e3)
| ~ spl3_112
| ~ spl3_114
| ~ spl3_122 ),
inference(forward_demodulation,[],[f11566,f994]) ).
fof(f11566,plain,
( e0 = e1
| e0 = op(e3,e3)
| e0 = op(e3,e0)
| ~ spl3_114
| ~ spl3_122 ),
inference(duplicate_literal_removal,[],[f11565]) ).
fof(f11565,plain,
( e0 = e1
| e0 = e1
| e0 = op(e3,e3)
| e0 = op(e3,e0)
| ~ spl3_114
| ~ spl3_122 ),
inference(forward_demodulation,[],[f3038,f1128]) ).
fof(f11552,plain,
( spl3_122
| spl3_4
| spl3_5
| spl3_1
| ~ spl3_97
| ~ spl3_108
| ~ spl3_110 ),
inference(avatar_split_clause,[],[f9099,f891,f827,f745,f269,f289,f284,f1828]) ).
fof(f9099,plain,
( e0 = e1
| e1 = e3
| e1 = e2
| e1 = op(e3,e2)
| ~ spl3_97
| ~ spl3_108
| ~ spl3_110 ),
inference(forward_demodulation,[],[f8492,f893]) ).
fof(f8492,plain,
( e1 = e3
| e1 = e2
| e1 = op(e3,e2)
| e1 = op(e1,e2)
| ~ spl3_97
| ~ spl3_108 ),
inference(forward_demodulation,[],[f8203,f829]) ).
fof(f8203,plain,
( e1 = e2
| e1 = op(e3,e2)
| e1 = op(e1,e2)
| e1 = op(e0,e2)
| ~ spl3_97 ),
inference(forward_demodulation,[],[f134,f747]) ).
fof(f11533,plain,
( spl3_67
| spl3_111
| spl3_1
| spl3_3
| ~ spl3_70
| ~ spl3_117 ),
inference(avatar_split_clause,[],[f6391,f1184,f606,f279,f269,f895,f593]) ).
fof(f6391,plain,
( e0 = e3
| e0 = e1
| e0 = op(e1,e3)
| e0 = op(e1,e1)
| ~ spl3_70
| ~ spl3_117 ),
inference(forward_demodulation,[],[f1219,f1186]) ).
fof(f11524,plain,
( spl3_111
| ~ spl3_116
| ~ spl3_123
| ~ spl3_131 ),
inference(avatar_split_clause,[],[f11523,f6037,f1981,f1173,f895]) ).
fof(f11523,plain,
( e0 = op(e1,e3)
| ~ spl3_116
| ~ spl3_123
| ~ spl3_131 ),
inference(forward_demodulation,[],[f1983,f11522]) ).
fof(f11522,plain,
( e0 = e2
| ~ spl3_116
| ~ spl3_123
| ~ spl3_131 ),
inference(forward_demodulation,[],[f6329,f1175]) ).
fof(f11521,plain,
( spl3_123
| spl3_83
| spl3_2
| spl3_4
| ~ spl3_95
| ~ spl3_124 ),
inference(avatar_split_clause,[],[f2361,f2038,f725,f284,f274,f665,f1981]) ).
fof(f2361,plain,
( e1 = e2
| e0 = e2
| e2 = op(e3,e3)
| e2 = op(e1,e3)
| ~ spl3_95
| ~ spl3_124 ),
inference(forward_demodulation,[],[f2360,f727]) ).
fof(f2360,plain,
( e0 = e2
| e2 = op(e3,e3)
| e2 = op(e1,e3)
| e2 = op(e0,e3)
| ~ spl3_124 ),
inference(forward_demodulation,[],[f144,f2040]) ).
fof(f11513,plain,
( spl3_70
| spl3_4
| spl3_5
| spl3_1
| ~ spl3_97
| ~ spl3_108
| ~ spl3_116 ),
inference(avatar_split_clause,[],[f11447,f1173,f827,f745,f269,f289,f284,f606]) ).
fof(f11447,plain,
( e0 = e1
| e1 = e3
| e1 = e2
| e1 = op(e1,e2)
| ~ spl3_97
| ~ spl3_108
| ~ spl3_116 ),
inference(forward_demodulation,[],[f8492,f1175]) ).
fof(f11498,plain,
( spl3_83
| spl3_2
| spl3_4
| spl3_6
| ~ spl3_95
| ~ spl3_119
| ~ spl3_124 ),
inference(avatar_split_clause,[],[f11015,f2038,f1247,f725,f294,f284,f274,f665]) ).
fof(f11015,plain,
( e2 = e3
| e1 = e2
| e0 = e2
| e2 = op(e3,e3)
| ~ spl3_95
| ~ spl3_119
| ~ spl3_124 ),
inference(forward_demodulation,[],[f2361,f1249]) ).
fof(f11433,plain,
( spl3_79
| spl3_3
| spl3_2
| ~ spl3_82
| ~ spl3_84
| ~ spl3_112 ),
inference(avatar_split_clause,[],[f11372,f992,f669,f660,f274,f279,f647]) ).
fof(f11372,plain,
( e0 = e2
| e0 = e3
| e0 = op(e3,e3)
| ~ spl3_82
| ~ spl3_84
| ~ spl3_112 ),
inference(forward_demodulation,[],[f11371,f994]) ).
fof(f11371,plain,
( e0 = e3
| e0 = op(e3,e3)
| e0 = op(e3,e0)
| ~ spl3_82
| ~ spl3_84 ),
inference(duplicate_literal_removal,[],[f11370]) ).
fof(f11370,plain,
( e0 = e3
| e0 = e3
| e0 = op(e3,e3)
| e0 = op(e3,e0)
| ~ spl3_82
| ~ spl3_84 ),
inference(forward_demodulation,[],[f8958,f662]) ).
fof(f8958,plain,
( e0 = e3
| e0 = op(e3,e3)
| e0 = op(e3,e1)
| e0 = op(e3,e0)
| ~ spl3_84 ),
inference(forward_demodulation,[],[f139,f671]) ).
fof(f11431,plain,
( ~ spl3_119
| ~ spl3_82
| spl3_86 ),
inference(avatar_split_clause,[],[f11248,f679,f660,f1247]) ).
fof(f11248,plain,
( e3 != op(e1,e3)
| ~ spl3_82
| spl3_86 ),
inference(forward_demodulation,[],[f681,f662]) ).
fof(f11316,plain,
( spl3_2
| ~ spl3_89
| ~ spl3_123
| ~ spl3_124
| ~ spl3_127
| ~ spl3_134 ),
inference(avatar_split_clause,[],[f11223,f7304,f4493,f2038,f1981,f694,f274]) ).
fof(f11223,plain,
( e0 = e2
| ~ spl3_89
| ~ spl3_123
| ~ spl3_124
| ~ spl3_127
| ~ spl3_134 ),
inference(forward_demodulation,[],[f11222,f696]) ).
fof(f696,plain,
( e0 = op(e0,e0)
| ~ spl3_89 ),
inference(avatar_component_clause,[],[f694]) ).
fof(f11222,plain,
( op(e0,e0) = e2
| ~ spl3_123
| ~ spl3_124
| ~ spl3_127
| ~ spl3_134 ),
inference(forward_demodulation,[],[f11221,f10443]) ).
fof(f10443,plain,
( e0 = e1
| ~ spl3_124
| ~ spl3_127
| ~ spl3_134 ),
inference(forward_demodulation,[],[f4494,f10259]) ).
fof(f10259,plain,
( e0 = op(e2,e1)
| ~ spl3_124
| ~ spl3_127
| ~ spl3_134 ),
inference(forward_demodulation,[],[f2040,f7907]) ).
fof(f7907,plain,
( e1 = e3
| ~ spl3_127
| ~ spl3_134 ),
inference(forward_demodulation,[],[f7305,f4494]) ).
fof(f11221,plain,
( e2 = op(e1,e1)
| ~ spl3_123
| ~ spl3_127
| ~ spl3_134 ),
inference(forward_demodulation,[],[f1983,f10665]) ).
fof(f10665,plain,
( e1 = e3
| ~ spl3_127
| ~ spl3_134 ),
inference(forward_demodulation,[],[f7305,f4494]) ).
fof(f11124,plain,
( spl3_123
| spl3_2
| spl3_4
| ~ spl3_81
| ~ spl3_95
| ~ spl3_124 ),
inference(avatar_split_clause,[],[f11112,f2038,f725,f656,f284,f274,f1981]) ).
fof(f11112,plain,
( e1 = e2
| e0 = e2
| e2 = op(e1,e3)
| ~ spl3_81
| ~ spl3_95
| ~ spl3_124 ),
inference(duplicate_literal_removal,[],[f11111]) ).
fof(f11111,plain,
( e1 = e2
| e1 = e2
| e0 = e2
| e2 = op(e1,e3)
| ~ spl3_81
| ~ spl3_95
| ~ spl3_124 ),
inference(forward_demodulation,[],[f5836,f727]) ).
fof(f5836,plain,
( e1 = e2
| e0 = e2
| e2 = op(e1,e3)
| e2 = op(e0,e3)
| ~ spl3_81
| ~ spl3_124 ),
inference(forward_demodulation,[],[f2360,f657]) ).
fof(f11110,plain,
( spl3_81
| spl3_1
| spl3_5
| spl3_4
| ~ spl3_82
| ~ spl3_112
| ~ spl3_116 ),
inference(avatar_split_clause,[],[f5913,f1173,f992,f660,f284,f289,f269,f656]) ).
fof(f5913,plain,
( e1 = e2
| e1 = e3
| e0 = e1
| e1 = op(e3,e3)
| ~ spl3_82
| ~ spl3_112
| ~ spl3_116 ),
inference(forward_demodulation,[],[f5912,f994]) ).
fof(f5912,plain,
( e1 = e3
| e0 = e1
| e1 = op(e3,e3)
| e1 = op(e3,e0)
| ~ spl3_82
| ~ spl3_116 ),
inference(forward_demodulation,[],[f5602,f662]) ).
fof(f5602,plain,
( e0 = e1
| e1 = op(e3,e3)
| e1 = op(e3,e1)
| e1 = op(e3,e0)
| ~ spl3_116 ),
inference(forward_demodulation,[],[f141,f1175]) ).
fof(f11082,plain,
( spl3_107
| spl3_71
| spl3_5
| ~ spl3_114
| ~ spl3_127 ),
inference(avatar_split_clause,[],[f11003,f4493,f1126,f289,f611,f823]) ).
fof(f11003,plain,
( e1 = e3
| e3 = op(e1,e1)
| e3 = op(e0,e1)
| ~ spl3_114
| ~ spl3_127 ),
inference(duplicate_literal_removal,[],[f11002]) ).
fof(f11002,plain,
( e1 = e3
| e1 = e3
| e3 = op(e1,e1)
| e3 = op(e0,e1)
| ~ spl3_114
| ~ spl3_127 ),
inference(forward_demodulation,[],[f1149,f4494]) ).
fof(f11043,plain,
( ~ spl3_57
| ~ spl3_98
| ~ spl3_119 ),
inference(avatar_split_clause,[],[f6893,f1247,f749,f548]) ).
fof(f6893,plain,
( ~ sP1
| ~ spl3_98
| ~ spl3_119 ),
inference(trivial_inequality_removal,[],[f4785]) ).
fof(f10990,plain,
( spl3_4
| ~ spl3_95
| ~ spl3_103
| ~ spl3_127
| ~ spl3_134 ),
inference(avatar_split_clause,[],[f10825,f7304,f4493,f795,f725,f284]) ).
fof(f10825,plain,
( e1 = e2
| ~ spl3_95
| ~ spl3_103
| ~ spl3_127
| ~ spl3_134 ),
inference(forward_demodulation,[],[f797,f10815]) ).
fof(f10815,plain,
( e1 = op(e0,e1)
| ~ spl3_95
| ~ spl3_127
| ~ spl3_134 ),
inference(forward_demodulation,[],[f727,f10665]) ).
fof(f10977,plain,
( spl3_1
| ~ spl3_67
| ~ spl3_119
| ~ spl3_127
| ~ spl3_134 ),
inference(avatar_split_clause,[],[f10653,f7304,f4493,f1247,f593,f269]) ).
fof(f10653,plain,
( e0 = e1
| ~ spl3_67
| ~ spl3_119
| ~ spl3_127
| ~ spl3_134 ),
inference(forward_demodulation,[],[f10450,f594]) ).
fof(f10450,plain,
( e1 = op(e1,e1)
| ~ spl3_119
| ~ spl3_127
| ~ spl3_134 ),
inference(forward_demodulation,[],[f1249,f7907]) ).
fof(f10818,plain,
( spl3_2
| ~ spl3_67
| ~ spl3_68
| ~ spl3_80
| ~ spl3_82
| ~ spl3_86
| ~ spl3_116
| ~ spl3_127
| ~ spl3_134 ),
inference(avatar_split_clause,[],[f10774,f7304,f4493,f1173,f679,f660,f651,f597,f593,f274]) ).
fof(f10774,plain,
( e0 = e2
| ~ spl3_67
| ~ spl3_68
| ~ spl3_80
| ~ spl3_82
| ~ spl3_86
| ~ spl3_116
| ~ spl3_127
| ~ spl3_134 ),
inference(duplicate_literal_removal,[],[f10773]) ).
fof(f10773,plain,
( e0 = e2
| e0 = e2
| ~ spl3_67
| ~ spl3_68
| ~ spl3_80
| ~ spl3_82
| ~ spl3_86
| ~ spl3_116
| ~ spl3_127
| ~ spl3_134 ),
inference(forward_demodulation,[],[f10772,f10663]) ).
fof(f10663,plain,
( e0 = e1
| ~ spl3_67
| ~ spl3_82
| ~ spl3_86
| ~ spl3_127
| ~ spl3_134 ),
inference(forward_demodulation,[],[f10473,f594]) ).
fof(f10473,plain,
( e1 = op(e1,e1)
| ~ spl3_82
| ~ spl3_86
| ~ spl3_127
| ~ spl3_134 ),
inference(forward_demodulation,[],[f6277,f7907]) ).
fof(f6277,plain,
( e3 = op(e1,e3)
| ~ spl3_82
| ~ spl3_86 ),
inference(superposition,[],[f680,f662]) ).
fof(f10772,plain,
( e1 = e2
| e0 = e2
| ~ spl3_67
| ~ spl3_68
| ~ spl3_80
| ~ spl3_82
| ~ spl3_86
| ~ spl3_116
| ~ spl3_127
| ~ spl3_134 ),
inference(forward_demodulation,[],[f10771,f599]) ).
fof(f10771,plain,
( e2 = op(e1,e0)
| e0 = e2
| ~ spl3_67
| ~ spl3_80
| ~ spl3_82
| ~ spl3_86
| ~ spl3_116
| ~ spl3_127
| ~ spl3_134 ),
inference(forward_demodulation,[],[f10770,f10665]) ).
fof(f10770,plain,
( e2 = op(e3,e0)
| e0 = e2
| ~ spl3_67
| ~ spl3_80
| ~ spl3_82
| ~ spl3_86
| ~ spl3_116
| ~ spl3_127
| ~ spl3_134 ),
inference(forward_demodulation,[],[f10769,f10663]) ).
fof(f10769,plain,
( e0 = e2
| e2 = op(e3,e1)
| ~ spl3_67
| ~ spl3_80
| ~ spl3_82
| ~ spl3_86
| ~ spl3_116
| ~ spl3_127
| ~ spl3_134 ),
inference(duplicate_literal_removal,[],[f10768]) ).
fof(f10768,plain,
( e0 = e2
| e0 = e2
| e2 = op(e3,e1)
| ~ spl3_67
| ~ spl3_80
| ~ spl3_82
| ~ spl3_86
| ~ spl3_116
| ~ spl3_127
| ~ spl3_134 ),
inference(forward_demodulation,[],[f10767,f1175]) ).
fof(f10767,plain,
( e0 = e2
| e2 = op(e3,e2)
| e2 = op(e3,e1)
| ~ spl3_67
| ~ spl3_80
| ~ spl3_82
| ~ spl3_86
| ~ spl3_127
| ~ spl3_134 ),
inference(duplicate_literal_removal,[],[f10766]) ).
fof(f10766,plain,
( e0 = e2
| e0 = e2
| e2 = op(e3,e2)
| e2 = op(e3,e1)
| ~ spl3_67
| ~ spl3_80
| ~ spl3_82
| ~ spl3_86
| ~ spl3_127
| ~ spl3_134 ),
inference(forward_demodulation,[],[f10765,f594]) ).
fof(f10765,plain,
( e2 = op(e1,e1)
| e0 = e2
| e2 = op(e3,e2)
| e2 = op(e3,e1)
| ~ spl3_67
| ~ spl3_80
| ~ spl3_82
| ~ spl3_86
| ~ spl3_127
| ~ spl3_134 ),
inference(forward_demodulation,[],[f10764,f10665]) ).
fof(f10764,plain,
( e0 = e2
| e2 = op(e3,e3)
| e2 = op(e3,e2)
| e2 = op(e3,e1)
| ~ spl3_67
| ~ spl3_80
| ~ spl3_82
| ~ spl3_86
| ~ spl3_127
| ~ spl3_134 ),
inference(forward_demodulation,[],[f10752,f10663]) ).
fof(f10752,plain,
( e1 = e2
| e2 = op(e3,e3)
| e2 = op(e3,e2)
| e2 = op(e3,e1)
| ~ spl3_80
| ~ spl3_127
| ~ spl3_134 ),
inference(forward_demodulation,[],[f7095,f10665]) ).
fof(f7095,plain,
( e2 = e3
| e2 = op(e3,e3)
| e2 = op(e3,e2)
| e2 = op(e3,e1)
| ~ spl3_80 ),
inference(forward_demodulation,[],[f143,f653]) ).
fof(f10762,plain,
( spl3_2
| ~ spl3_67
| ~ spl3_68
| ~ spl3_80
| ~ spl3_81
| ~ spl3_82
| ~ spl3_86
| ~ spl3_116
| ~ spl3_127
| ~ spl3_134 ),
inference(avatar_split_clause,[],[f10746,f7304,f4493,f1173,f679,f660,f656,f651,f597,f593,f274]) ).
fof(f10746,plain,
( e0 = e2
| ~ spl3_67
| ~ spl3_68
| ~ spl3_80
| ~ spl3_81
| ~ spl3_82
| ~ spl3_86
| ~ spl3_116
| ~ spl3_127
| ~ spl3_134 ),
inference(duplicate_literal_removal,[],[f10745]) ).
fof(f10745,plain,
( e0 = e2
| e0 = e2
| ~ spl3_67
| ~ spl3_68
| ~ spl3_80
| ~ spl3_81
| ~ spl3_82
| ~ spl3_86
| ~ spl3_116
| ~ spl3_127
| ~ spl3_134 ),
inference(forward_demodulation,[],[f10744,f10663]) ).
fof(f10744,plain,
( e1 = e2
| e0 = e2
| ~ spl3_67
| ~ spl3_68
| ~ spl3_80
| ~ spl3_81
| ~ spl3_82
| ~ spl3_86
| ~ spl3_116
| ~ spl3_127
| ~ spl3_134 ),
inference(forward_demodulation,[],[f10743,f599]) ).
fof(f10743,plain,
( e2 = op(e1,e0)
| e0 = e2
| ~ spl3_67
| ~ spl3_80
| ~ spl3_81
| ~ spl3_82
| ~ spl3_86
| ~ spl3_116
| ~ spl3_127
| ~ spl3_134 ),
inference(forward_demodulation,[],[f10742,f10665]) ).
fof(f10742,plain,
( e2 = op(e3,e0)
| e0 = e2
| ~ spl3_67
| ~ spl3_80
| ~ spl3_81
| ~ spl3_82
| ~ spl3_86
| ~ spl3_116
| ~ spl3_127
| ~ spl3_134 ),
inference(forward_demodulation,[],[f10741,f10663]) ).
fof(f10741,plain,
( e0 = e2
| e2 = op(e3,e1)
| ~ spl3_67
| ~ spl3_80
| ~ spl3_81
| ~ spl3_82
| ~ spl3_86
| ~ spl3_116
| ~ spl3_127
| ~ spl3_134 ),
inference(duplicate_literal_removal,[],[f10740]) ).
fof(f10740,plain,
( e0 = e2
| e0 = e2
| e2 = op(e3,e1)
| ~ spl3_67
| ~ spl3_80
| ~ spl3_81
| ~ spl3_82
| ~ spl3_86
| ~ spl3_116
| ~ spl3_127
| ~ spl3_134 ),
inference(forward_demodulation,[],[f10739,f10663]) ).
fof(f10739,plain,
( e1 = e2
| e0 = e2
| e2 = op(e3,e1)
| ~ spl3_67
| ~ spl3_80
| ~ spl3_81
| ~ spl3_82
| ~ spl3_86
| ~ spl3_116
| ~ spl3_127
| ~ spl3_134 ),
inference(forward_demodulation,[],[f10738,f657]) ).
fof(f10738,plain,
( e0 = e2
| e2 = op(e3,e3)
| e2 = op(e3,e1)
| ~ spl3_67
| ~ spl3_80
| ~ spl3_82
| ~ spl3_86
| ~ spl3_116
| ~ spl3_127
| ~ spl3_134 ),
inference(duplicate_literal_removal,[],[f10737]) ).
fof(f10737,plain,
( e0 = e2
| e0 = e2
| e2 = op(e3,e3)
| e2 = op(e3,e1)
| ~ spl3_67
| ~ spl3_80
| ~ spl3_82
| ~ spl3_86
| ~ spl3_116
| ~ spl3_127
| ~ spl3_134 ),
inference(forward_demodulation,[],[f10736,f10663]) ).
fof(f10736,plain,
( e1 = e2
| e0 = e2
| e2 = op(e3,e3)
| e2 = op(e3,e1)
| ~ spl3_80
| ~ spl3_116
| ~ spl3_127
| ~ spl3_134 ),
inference(forward_demodulation,[],[f8543,f10665]) ).
fof(f8543,plain,
( e2 = e3
| e0 = e2
| e2 = op(e3,e3)
| e2 = op(e3,e1)
| ~ spl3_80
| ~ spl3_116 ),
inference(forward_demodulation,[],[f5601,f653]) ).
fof(f5601,plain,
( e0 = e2
| e2 = op(e3,e3)
| e2 = op(e3,e1)
| e2 = op(e3,e0)
| ~ spl3_116 ),
inference(forward_demodulation,[],[f143,f1175]) ).
fof(f10698,plain,
( spl3_1
| ~ spl3_118
| ~ spl3_124
| ~ spl3_127
| ~ spl3_134 ),
inference(avatar_split_clause,[],[f10652,f7304,f4493,f2038,f1188,f269]) ).
fof(f10652,plain,
( e0 = e1
| ~ spl3_118
| ~ spl3_124
| ~ spl3_127
| ~ spl3_134 ),
inference(forward_demodulation,[],[f10457,f10458]) ).
fof(f10458,plain,
( e0 = op(e2,e0)
| ~ spl3_118
| ~ spl3_124
| ~ spl3_127
| ~ spl3_134 ),
inference(forward_demodulation,[],[f10457,f10443]) ).
fof(f10457,plain,
( e1 = op(e2,e0)
| ~ spl3_118
| ~ spl3_127
| ~ spl3_134 ),
inference(forward_demodulation,[],[f1190,f7907]) ).
fof(f10623,plain,
( ~ spl3_81
| ~ spl3_67
| ~ spl3_112 ),
inference(avatar_split_clause,[],[f10574,f992,f593,f656]) ).
fof(f10574,plain,
( e1 != op(e3,e3)
| ~ spl3_67
| ~ spl3_112 ),
inference(trivial_inequality_removal,[],[f10573]) ).
fof(f10573,plain,
( e0 != e0
| e1 != op(e3,e3)
| ~ spl3_67
| ~ spl3_112 ),
inference(forward_demodulation,[],[f10426,f594]) ).
fof(f10426,plain,
( e1 != op(e3,e3)
| e0 != op(e1,e1)
| ~ spl3_112 ),
inference(trivial_inequality_removal,[],[f10425]) ).
fof(f10425,plain,
( e2 != e2
| e1 != op(e3,e3)
| e0 != op(e1,e1)
| ~ spl3_112 ),
inference(forward_demodulation,[],[f221,f994]) ).
fof(f221,plain,
( e2 != op(e3,e0)
| e1 != op(e3,e3)
| e0 != op(e1,e1) ),
inference(inner_rewriting,[],[f220]) ).
fof(f220,plain,
( e2 != op(e3,op(e1,e1))
| e1 != op(e3,e3)
| e0 != op(e1,e1) ),
inference(inner_rewriting,[],[f196]) ).
fof(f196,plain,
( e2 != op(e3,op(op(e3,e3),op(e3,e3)))
| e1 != op(e3,e3)
| e0 != op(op(e3,e3),op(e3,e3)) ),
inference(cnf_transformation,[],[f30]) ).
fof(f30,plain,
( e2 != op(e3,op(op(e3,e3),op(e3,e3)))
| e1 != op(e3,e3)
| e0 != op(op(e3,e3),op(e3,e3)) ),
inference(ennf_transformation,[],[f6]) ).
fof(f6,axiom,
~ ( e2 = op(e3,op(op(e3,e3),op(e3,e3)))
& e1 = op(e3,e3)
& e0 = op(op(e3,e3),op(e3,e3)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax6) ).
fof(f10565,plain,
( spl3_5
| ~ spl3_81
| ~ spl3_82
| ~ spl3_88 ),
inference(avatar_split_clause,[],[f10499,f689,f660,f656,f289]) ).
fof(f689,plain,
( spl3_88
<=> op(e3,e3) = op(e3,op(e3,e3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_88])]) ).
fof(f10499,plain,
( e1 = e3
| ~ spl3_81
| ~ spl3_82
| ~ spl3_88 ),
inference(forward_demodulation,[],[f662,f5696]) ).
fof(f5696,plain,
( e1 = op(e3,e1)
| ~ spl3_81
| ~ spl3_88 ),
inference(superposition,[],[f690,f657]) ).
fof(f690,plain,
( op(e3,e3) = op(e3,op(e3,e3))
| ~ spl3_88 ),
inference(avatar_component_clause,[],[f689]) ).
fof(f10494,plain,
( spl3_2
| ~ spl3_86
| ~ spl3_112
| ~ spl3_116
| ~ spl3_124
| ~ spl3_127
| ~ spl3_134 ),
inference(avatar_split_clause,[],[f10470,f7304,f4493,f2038,f1173,f992,f679,f274]) ).
fof(f10470,plain,
( e0 = e2
| ~ spl3_86
| ~ spl3_112
| ~ spl3_116
| ~ spl3_124
| ~ spl3_127
| ~ spl3_134 ),
inference(forward_demodulation,[],[f10469,f10464]) ).
fof(f10464,plain,
( e0 = op(e0,e2)
| ~ spl3_116
| ~ spl3_124
| ~ spl3_127
| ~ spl3_134 ),
inference(forward_demodulation,[],[f10463,f10443]) ).
fof(f10463,plain,
( e0 = op(e1,e2)
| ~ spl3_116
| ~ spl3_127
| ~ spl3_134 ),
inference(forward_demodulation,[],[f1175,f7907]) ).
fof(f10469,plain,
( e2 = op(e0,e2)
| ~ spl3_86
| ~ spl3_112
| ~ spl3_124
| ~ spl3_127
| ~ spl3_134 ),
inference(forward_demodulation,[],[f10468,f994]) ).
fof(f10468,plain,
( op(e3,e0) = op(e0,op(e3,e0))
| ~ spl3_86
| ~ spl3_124
| ~ spl3_127
| ~ spl3_134 ),
inference(forward_demodulation,[],[f680,f10443]) ).
fof(f10419,plain,
( spl3_81
| spl3_1
| spl3_4
| ~ spl3_105
| ~ spl3_123
| ~ spl3_124 ),
inference(avatar_split_clause,[],[f10399,f2038,f1981,f803,f284,f269,f656]) ).
fof(f10399,plain,
( e1 = e2
| e0 = e1
| e1 = op(e3,e3)
| ~ spl3_105
| ~ spl3_123
| ~ spl3_124 ),
inference(duplicate_literal_removal,[],[f10398]) ).
fof(f10398,plain,
( e1 = e2
| e0 = e1
| e1 = e2
| e1 = op(e3,e3)
| ~ spl3_105
| ~ spl3_123
| ~ spl3_124 ),
inference(forward_demodulation,[],[f5907,f805]) ).
fof(f5907,plain,
( e0 = e1
| e1 = e2
| e1 = op(e3,e3)
| e1 = op(e0,e3)
| ~ spl3_123
| ~ spl3_124 ),
inference(forward_demodulation,[],[f2500,f2040]) ).
fof(f2500,plain,
( e1 = e2
| e1 = op(e3,e3)
| e1 = op(e2,e3)
| e1 = op(e0,e3)
| ~ spl3_123 ),
inference(forward_demodulation,[],[f142,f1983]) ).
fof(f10386,plain,
( spl3_110
| spl3_116
| spl3_2
| spl3_3
| ~ spl3_97
| ~ spl3_108 ),
inference(avatar_split_clause,[],[f8605,f827,f745,f279,f274,f1173,f891]) ).
fof(f8605,plain,
( e0 = e3
| e0 = e2
| e0 = op(e3,e2)
| e0 = op(e1,e2)
| ~ spl3_97
| ~ spl3_108 ),
inference(forward_demodulation,[],[f1215,f829]) ).
fof(f1215,plain,
( e0 = e2
| e0 = op(e3,e2)
| e0 = op(e1,e2)
| e0 = op(e0,e2)
| ~ spl3_97 ),
inference(forward_demodulation,[],[f132,f747]) ).
fof(f10375,plain,
( spl3_122
| spl3_81
| spl3_1
| spl3_4
| ~ spl3_102
| ~ spl3_112 ),
inference(avatar_split_clause,[],[f2532,f992,f782,f284,f269,f656,f1828]) ).
fof(f2532,plain,
( e1 = e2
| e0 = e1
| e1 = op(e3,e3)
| e1 = op(e3,e2)
| ~ spl3_102
| ~ spl3_112 ),
inference(forward_demodulation,[],[f2531,f994]) ).
fof(f2531,plain,
( e0 = e1
| e1 = op(e3,e3)
| e1 = op(e3,e2)
| e1 = op(e3,e0)
| ~ spl3_102 ),
inference(forward_demodulation,[],[f141,f784]) ).
fof(f10372,plain,
( spl3_104
| ~ spl3_85
| ~ spl3_112 ),
inference(avatar_split_clause,[],[f5881,f992,f674,f799]) ).
fof(f674,plain,
( spl3_85
<=> op(e3,e0) = op(e0,op(e3,e0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_85])]) ).
fof(f5881,plain,
( e2 = op(e0,e2)
| ~ spl3_85
| ~ spl3_112 ),
inference(forward_demodulation,[],[f675,f994]) ).
fof(f675,plain,
( op(e3,e0) = op(e0,op(e3,e0))
| ~ spl3_85 ),
inference(avatar_component_clause,[],[f674]) ).
fof(f10316,plain,
( spl3_1
| ~ spl3_98
| ~ spl3_102
| ~ spl3_127
| ~ spl3_134 ),
inference(avatar_split_clause,[],[f10307,f7304,f4493,f782,f749,f269]) ).
fof(f10307,plain,
( e0 = e1
| ~ spl3_98
| ~ spl3_102
| ~ spl3_127
| ~ spl3_134 ),
inference(forward_demodulation,[],[f10306,f10283]) ).
fof(f10283,plain,
( e0 = op(e1,e1)
| ~ spl3_102
| ~ spl3_127
| ~ spl3_134 ),
inference(forward_demodulation,[],[f784,f7907]) ).
fof(f10306,plain,
( e1 = op(e1,e1)
| ~ spl3_98
| ~ spl3_127
| ~ spl3_134 ),
inference(forward_demodulation,[],[f751,f7907]) ).
fof(f10224,plain,
( spl3_68
| spl3_100
| spl3_4
| spl3_1
| ~ spl3_74
| ~ spl3_89 ),
inference(avatar_split_clause,[],[f7724,f694,f624,f269,f284,f768,f597]) ).
fof(f7724,plain,
( e0 = e1
| e1 = e2
| e1 = op(e3,e0)
| e1 = op(e1,e0)
| ~ spl3_74
| ~ spl3_89 ),
inference(forward_demodulation,[],[f7723,f696]) ).
fof(f7723,plain,
( e1 = e2
| e1 = op(e3,e0)
| e1 = op(e1,e0)
| op(e0,e0) = e1
| ~ spl3_74 ),
inference(forward_demodulation,[],[f118,f626]) ).
fof(f10140,plain,
( spl3_79
| spl3_1
| spl3_2
| ~ spl3_72
| ~ spl3_78
| ~ spl3_105 ),
inference(avatar_split_clause,[],[f4725,f803,f642,f615,f274,f269,f647]) ).
fof(f4725,plain,
( e0 = e2
| e0 = e1
| e0 = op(e3,e3)
| ~ spl3_72
| ~ spl3_78
| ~ spl3_105 ),
inference(duplicate_literal_removal,[],[f4724]) ).
fof(f4724,plain,
( e0 = e2
| e0 = e2
| e0 = e1
| e0 = op(e3,e3)
| ~ spl3_72
| ~ spl3_78
| ~ spl3_105 ),
inference(forward_demodulation,[],[f3367,f805]) ).
fof(f3367,plain,
( e0 = e2
| e0 = e1
| e0 = op(e3,e3)
| e0 = op(e0,e3)
| ~ spl3_72
| ~ spl3_78 ),
inference(forward_demodulation,[],[f2176,f644]) ).
fof(f2176,plain,
( e0 = e1
| e0 = op(e3,e3)
| e0 = op(e2,e3)
| e0 = op(e0,e3)
| ~ spl3_72 ),
inference(forward_demodulation,[],[f140,f617]) ).
fof(f617,plain,
( e1 = op(e1,e3)
| ~ spl3_72 ),
inference(avatar_component_clause,[],[f615]) ).
fof(f10084,plain,
( spl3_122
| spl3_5
| spl3_4
| ~ spl3_77
| ~ spl3_104
| ~ spl3_126 ),
inference(avatar_split_clause,[],[f7608,f3399,f799,f638,f284,f289,f1828]) ).
fof(f7608,plain,
( e1 = e2
| e1 = e3
| e1 = op(e3,e2)
| ~ spl3_77
| ~ spl3_104
| ~ spl3_126 ),
inference(duplicate_literal_removal,[],[f7607]) ).
fof(f7607,plain,
( e1 = e2
| e1 = e3
| e1 = e2
| e1 = op(e3,e2)
| ~ spl3_77
| ~ spl3_104
| ~ spl3_126 ),
inference(forward_demodulation,[],[f7606,f3401]) ).
fof(f7606,plain,
( e1 = e3
| e1 = e2
| e1 = op(e3,e2)
| e1 = op(e1,e2)
| ~ spl3_77
| ~ spl3_104 ),
inference(forward_demodulation,[],[f1022,f639]) ).
fof(f1022,plain,
( e1 = e2
| e1 = op(e3,e2)
| e1 = op(e2,e2)
| e1 = op(e1,e2)
| ~ spl3_104 ),
inference(forward_demodulation,[],[f134,f801]) ).
fof(f10082,plain,
( ~ spl3_110
| spl3_23
| ~ spl3_116 ),
inference(avatar_split_clause,[],[f9631,f1173,f379,f891]) ).
fof(f9631,plain,
( e0 != op(e1,e2)
| spl3_23
| ~ spl3_116 ),
inference(superposition,[],[f381,f1175]) ).
fof(f10077,plain,
( spl3_90
| ~ spl3_101
| ~ spl3_133 ),
inference(avatar_split_clause,[],[f10039,f6412,f778,f700]) ).
fof(f10039,plain,
( e0 = op(e1,e0)
| ~ spl3_101
| ~ spl3_133 ),
inference(forward_demodulation,[],[f6413,f780]) ).
fof(f10020,plain,
( ~ spl3_93
| spl3_56
| ~ spl3_99 ),
inference(avatar_split_clause,[],[f9621,f764,f543,f717]) ).
fof(f9621,plain,
( e1 != op(e0,e1)
| spl3_56
| ~ spl3_99 ),
inference(superposition,[],[f545,f766]) ).
fof(f545,plain,
( op(e2,e0) != op(e0,op(e2,e0))
| spl3_56 ),
inference(avatar_component_clause,[],[f543]) ).
fof(f10018,plain,
( ~ spl3_90
| spl3_38
| ~ spl3_110 ),
inference(avatar_split_clause,[],[f9355,f891,f454,f700]) ).
fof(f454,plain,
( spl3_38
<=> op(e1,e0) = op(e1,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_38])]) ).
fof(f9355,plain,
( e0 != op(e1,e0)
| spl3_38
| ~ spl3_110 ),
inference(superposition,[],[f456,f893]) ).
fof(f456,plain,
( op(e1,e0) != op(e1,e2)
| spl3_38 ),
inference(avatar_component_clause,[],[f454]) ).
fof(f10016,plain,
( ~ spl3_74
| spl3_45
| ~ spl3_78 ),
inference(avatar_split_clause,[],[f9323,f642,f489,f624]) ).
fof(f9323,plain,
( e2 != op(e2,e0)
| spl3_45
| ~ spl3_78 ),
inference(superposition,[],[f491,f644]) ).
fof(f10014,plain,
( ~ spl3_103
| spl3_15
| ~ spl3_115 ),
inference(avatar_split_clause,[],[f8725,f1143,f339,f795]) ).
fof(f8725,plain,
( e2 != op(e0,e1)
| spl3_15
| ~ spl3_115 ),
inference(superposition,[],[f341,f1145]) ).
fof(f10012,plain,
( ~ spl3_114
| ~ spl3_72
| spl3_131 ),
inference(avatar_split_clause,[],[f7482,f6037,f615,f1126]) ).
fof(f7482,plain,
( e1 != op(e3,e1)
| ~ spl3_72
| spl3_131 ),
inference(superposition,[],[f6039,f617]) ).
fof(f10010,plain,
( ~ spl3_84
| spl3_54
| ~ spl3_98 ),
inference(avatar_split_clause,[],[f5926,f749,f534,f669]) ).
fof(f534,plain,
( spl3_54
<=> op(e3,e2) = op(e3,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_54])]) ).
fof(f5926,plain,
( e3 != op(e3,e2)
| spl3_54
| ~ spl3_98 ),
inference(superposition,[],[f536,f751]) ).
fof(f536,plain,
( op(e3,e2) != op(e3,e3)
| spl3_54 ),
inference(avatar_component_clause,[],[f534]) ).
fof(f9999,plain,
( spl3_122
| spl3_5
| spl3_1
| spl3_4
| ~ spl3_77
| ~ spl3_104
| ~ spl3_110 ),
inference(avatar_split_clause,[],[f9932,f891,f799,f638,f284,f269,f289,f1828]) ).
fof(f9932,plain,
( e1 = e2
| e0 = e1
| e1 = e3
| e1 = op(e3,e2)
| ~ spl3_77
| ~ spl3_104
| ~ spl3_110 ),
inference(forward_demodulation,[],[f9931,f801]) ).
fof(f9931,plain,
( e0 = e1
| e1 = e3
| e1 = op(e3,e2)
| e1 = op(e0,e2)
| ~ spl3_77
| ~ spl3_110 ),
inference(forward_demodulation,[],[f7294,f893]) ).
fof(f9910,plain,
( ~ spl3_83
| ~ spl3_65
| ~ spl3_94 ),
inference(avatar_split_clause,[],[f9689,f721,f584,f665]) ).
fof(f9689,plain,
( e2 != op(e3,e3)
| ~ spl3_65
| ~ spl3_94 ),
inference(trivial_inequality_removal,[],[f9688]) ).
fof(f9688,plain,
( e3 != e3
| e2 != op(e3,e3)
| ~ spl3_65
| ~ spl3_94 ),
inference(forward_demodulation,[],[f9687,f585]) ).
fof(f9687,plain,
( op(e0,e0) != e3
| e2 != op(e3,e3)
| ~ spl3_94 ),
inference(trivial_inequality_removal,[],[f9686]) ).
fof(f9686,plain,
( e1 != e1
| op(e0,e0) != e3
| e2 != op(e3,e3)
| ~ spl3_94 ),
inference(forward_demodulation,[],[f259,f723]) ).
fof(f259,plain,
( e1 != op(e0,e2)
| op(e0,e0) != e3
| e2 != op(e3,e3) ),
inference(inner_rewriting,[],[f258]) ).
fof(f258,plain,
( e1 != op(e0,op(e3,e3))
| op(e0,e0) != e3
| e2 != op(e3,e3) ),
inference(inner_rewriting,[],[f215]) ).
fof(f215,plain,
( e1 != op(e0,op(op(e0,e0),op(e0,e0)))
| op(e0,e0) != e3
| e2 != op(op(e0,e0),op(e0,e0)) ),
inference(cnf_transformation,[],[f49]) ).
fof(f49,plain,
( e1 != op(e0,op(op(e0,e0),op(e0,e0)))
| op(e0,e0) != e3
| e2 != op(op(e0,e0),op(e0,e0)) ),
inference(ennf_transformation,[],[f23]) ).
fof(f23,axiom,
~ ( e1 = op(e0,op(op(e0,e0),op(e0,e0)))
& op(e0,e0) = e3
& e2 = op(op(e0,e0),op(e0,e0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax23) ).
fof(f9807,plain,
( spl3_2
| ~ spl3_74
| ~ spl3_91 ),
inference(avatar_split_clause,[],[f9748,f704,f624,f274]) ).
fof(f9748,plain,
( e0 = e2
| ~ spl3_74
| ~ spl3_91 ),
inference(forward_demodulation,[],[f626,f706]) ).
fof(f9755,plain,
( spl3_6
| ~ spl3_78
| ~ spl3_84
| ~ spl3_129 ),
inference(avatar_split_clause,[],[f9728,f5399,f669,f642,f294]) ).
fof(f9728,plain,
( e2 = e3
| ~ spl3_78
| ~ spl3_84
| ~ spl3_129 ),
inference(forward_demodulation,[],[f671,f9483]) ).
fof(f9672,plain,
( ~ spl3_90
| ~ spl3_101
| spl3_133 ),
inference(avatar_split_clause,[],[f9445,f6412,f778,f700]) ).
fof(f9445,plain,
( e0 != op(e1,e0)
| ~ spl3_101
| spl3_133 ),
inference(superposition,[],[f6414,f780]) ).
fof(f9670,plain,
( ~ spl3_80
| spl3_51
| ~ spl3_98 ),
inference(avatar_split_clause,[],[f9392,f749,f519,f651]) ).
fof(f519,plain,
( spl3_51
<=> op(e3,e0) = op(e3,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_51])]) ).
fof(f9392,plain,
( e3 != op(e3,e0)
| spl3_51
| ~ spl3_98 ),
inference(superposition,[],[f521,f751]) ).
fof(f521,plain,
( op(e3,e0) != op(e3,e3)
| spl3_51 ),
inference(avatar_component_clause,[],[f519]) ).
fof(f9668,plain,
( ~ spl3_113
| spl3_38
| ~ spl3_126 ),
inference(avatar_split_clause,[],[f8081,f3399,f454,f1004]) ).
fof(f8081,plain,
( e2 != op(e1,e0)
| spl3_38
| ~ spl3_126 ),
inference(superposition,[],[f456,f3401]) ).
fof(f9666,plain,
( ~ spl3_102
| spl3_52
| ~ spl3_116 ),
inference(avatar_split_clause,[],[f5563,f1173,f524,f782]) ).
fof(f5563,plain,
( e0 != op(e3,e1)
| spl3_52
| ~ spl3_116 ),
inference(superposition,[],[f526,f1175]) ).
fof(f9664,plain,
( ~ spl3_91
| spl3_87
| ~ spl3_116 ),
inference(avatar_split_clause,[],[f5127,f1173,f684,f704]) ).
fof(f5127,plain,
( e0 != op(e2,e0)
| spl3_87
| ~ spl3_116 ),
inference(superposition,[],[f686,f1175]) ).
fof(f9655,plain,
( spl3_114
| ~ spl3_72
| ~ spl3_131 ),
inference(avatar_split_clause,[],[f9465,f6037,f615,f1126]) ).
fof(f9465,plain,
( e1 = op(e3,e1)
| ~ spl3_72
| ~ spl3_131 ),
inference(forward_demodulation,[],[f6038,f617]) ).
fof(f9648,plain,
( ~ spl3_59
| ~ spl3_103
| ~ spl3_126 ),
inference(avatar_split_clause,[],[f9644,f3399,f795,f557]) ).
fof(f9644,plain,
( ~ sP0
| ~ spl3_103
| ~ spl3_126 ),
inference(trivial_inequality_removal,[],[f9643]) ).
fof(f9643,plain,
( e2 != e2
| ~ sP0
| ~ spl3_103
| ~ spl3_126 ),
inference(forward_demodulation,[],[f9642,f3401]) ).
fof(f9642,plain,
( e2 != op(e1,e2)
| ~ sP0
| ~ spl3_103 ),
inference(forward_demodulation,[],[f172,f797]) ).
fof(f9647,plain,
( ~ spl3_57
| ~ spl3_72
| ~ spl3_114 ),
inference(avatar_split_clause,[],[f9464,f1126,f615,f548]) ).
fof(f9464,plain,
( ~ sP1
| ~ spl3_72
| ~ spl3_114 ),
inference(trivial_inequality_removal,[],[f9463]) ).
fof(f9463,plain,
( e1 != e1
| ~ sP1
| ~ spl3_72
| ~ spl3_114 ),
inference(forward_demodulation,[],[f4697,f1128]) ).
fof(f4697,plain,
( e1 != op(e3,e1)
| ~ sP1
| ~ spl3_72 ),
inference(forward_demodulation,[],[f170,f617]) ).
fof(f9638,plain,
( spl3_81
| spl3_1
| spl3_4
| ~ spl3_102
| ~ spl3_112
| ~ spl3_116 ),
inference(avatar_split_clause,[],[f2538,f1173,f992,f782,f284,f269,f656]) ).
fof(f2538,plain,
( e1 = e2
| e0 = e1
| e1 = op(e3,e3)
| ~ spl3_102
| ~ spl3_112
| ~ spl3_116 ),
inference(forward_demodulation,[],[f2537,f994]) ).
fof(f2537,plain,
( e0 = e1
| e1 = op(e3,e3)
| e1 = op(e3,e0)
| ~ spl3_102
| ~ spl3_116 ),
inference(duplicate_literal_removal,[],[f2536]) ).
fof(f2536,plain,
( e0 = e1
| e0 = e1
| e1 = op(e3,e3)
| e1 = op(e3,e0)
| ~ spl3_102
| ~ spl3_116 ),
inference(forward_demodulation,[],[f1465,f784]) ).
fof(f1465,plain,
( e0 = e1
| e1 = op(e3,e3)
| e1 = op(e3,e1)
| e1 = op(e3,e0)
| ~ spl3_116 ),
inference(forward_demodulation,[],[f141,f1175]) ).
fof(f9615,plain,
( spl3_2
| ~ spl3_78
| ~ spl3_116
| ~ spl3_129 ),
inference(avatar_split_clause,[],[f9613,f5399,f1173,f642,f274]) ).
fof(f9613,plain,
( e0 = e2
| ~ spl3_78
| ~ spl3_116
| ~ spl3_129 ),
inference(forward_demodulation,[],[f9483,f1175]) ).
fof(f9597,plain,
( spl3_92
| ~ spl3_116
| ~ spl3_121 ),
inference(avatar_split_clause,[],[f9568,f1800,f1173,f708]) ).
fof(f9568,plain,
( e0 = op(e3,e0)
| ~ spl3_116
| ~ spl3_121 ),
inference(forward_demodulation,[],[f1175,f4275]) ).
fof(f4275,plain,
( e0 = e2
| ~ spl3_116
| ~ spl3_121 ),
inference(superposition,[],[f1175,f1802]) ).
fof(f9543,plain,
( spl3_110
| spl3_116
| spl3_1
| spl3_3
| ~ spl3_77
| ~ spl3_94 ),
inference(avatar_split_clause,[],[f7692,f721,f638,f279,f269,f1173,f891]) ).
fof(f7692,plain,
( e0 = e3
| e0 = e1
| e0 = op(e3,e2)
| e0 = op(e1,e2)
| ~ spl3_77
| ~ spl3_94 ),
inference(forward_demodulation,[],[f975,f639]) ).
fof(f975,plain,
( e0 = e1
| e0 = op(e3,e2)
| e0 = op(e2,e2)
| e0 = op(e1,e2)
| ~ spl3_94 ),
inference(forward_demodulation,[],[f132,f723]) ).
fof(f9527,plain,
( ~ spl3_59
| ~ spl3_94
| ~ spl3_127 ),
inference(avatar_split_clause,[],[f9525,f4493,f721,f557]) ).
fof(f9525,plain,
( ~ sP0
| ~ spl3_94
| ~ spl3_127 ),
inference(trivial_inequality_removal,[],[f9524]) ).
fof(f9524,plain,
( e1 != e1
| ~ sP0
| ~ spl3_94
| ~ spl3_127 ),
inference(forward_demodulation,[],[f9523,f4494]) ).
fof(f9523,plain,
( e1 != op(e2,e1)
| ~ sP0
| ~ spl3_94 ),
inference(forward_demodulation,[],[f173,f723]) ).
fof(f9520,plain,
( spl3_81
| spl3_4
| spl3_1
| ~ spl3_92
| ~ spl3_102
| ~ spl3_121 ),
inference(avatar_split_clause,[],[f9505,f1800,f782,f708,f269,f284,f656]) ).
fof(f9505,plain,
( e0 = e1
| e1 = e2
| e1 = op(e3,e3)
| ~ spl3_92
| ~ spl3_102
| ~ spl3_121 ),
inference(duplicate_literal_removal,[],[f9504]) ).
fof(f9504,plain,
( e0 = e1
| e1 = e2
| e0 = e1
| e1 = op(e3,e3)
| ~ spl3_92
| ~ spl3_102
| ~ spl3_121 ),
inference(forward_demodulation,[],[f9503,f710]) ).
fof(f9503,plain,
( e1 = e2
| e0 = e1
| e1 = op(e3,e3)
| e1 = op(e3,e0)
| ~ spl3_102
| ~ spl3_121 ),
inference(forward_demodulation,[],[f8463,f1802]) ).
fof(f8463,plain,
( e0 = e1
| e1 = op(e3,e3)
| e1 = op(e3,e2)
| e1 = op(e3,e0)
| ~ spl3_102 ),
inference(forward_demodulation,[],[f141,f784]) ).
fof(f9502,plain,
( spl3_1
| ~ spl3_101
| ~ spl3_127 ),
inference(avatar_split_clause,[],[f9495,f4493,f778,f269]) ).
fof(f9495,plain,
( e0 = e1
| ~ spl3_101
| ~ spl3_127 ),
inference(forward_demodulation,[],[f4494,f780]) ).
fof(f9501,plain,
( spl3_102
| spl3_114
| spl3_115
| spl3_82 ),
inference(avatar_split_clause,[],[f160,f660,f1143,f1126,f782]) ).
fof(f160,plain,
( e3 = op(e3,e1)
| e2 = op(e3,e1)
| e1 = op(e3,e1)
| e0 = op(e3,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(f9484,plain,
( ~ spl3_59
| ~ spl3_66
| ~ spl3_92 ),
inference(avatar_split_clause,[],[f9482,f708,f588,f557]) ).
fof(f9482,plain,
( ~ sP0
| ~ spl3_66
| ~ spl3_92 ),
inference(trivial_inequality_removal,[],[f9481]) ).
fof(f9479,plain,
( ~ spl3_121
| ~ spl3_78
| spl3_129 ),
inference(avatar_split_clause,[],[f9327,f5399,f642,f1800]) ).
fof(f9327,plain,
( e2 != op(e3,e2)
| ~ spl3_78
| spl3_129 ),
inference(superposition,[],[f5401,f644]) ).
fof(f9477,plain,
( ~ spl3_63
| spl3_31
| ~ spl3_103 ),
inference(avatar_split_clause,[],[f8803,f795,f419,f575]) ).
fof(f419,plain,
( spl3_31
<=> op(e0,e0) = op(e0,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_31])]) ).
fof(f8803,plain,
( op(e0,e0) != e2
| spl3_31
| ~ spl3_103 ),
inference(superposition,[],[f421,f797]) ).
fof(f421,plain,
( op(e0,e0) != op(e0,e1)
| spl3_31 ),
inference(avatar_component_clause,[],[f419]) ).
fof(f9475,plain,
( ~ spl3_104
| spl3_58
| ~ spl3_113 ),
inference(avatar_split_clause,[],[f8723,f1004,f552,f799]) ).
fof(f8723,plain,
( e2 != op(e0,e2)
| spl3_58
| ~ spl3_113 ),
inference(superposition,[],[f554,f1006]) ).
fof(f9473,plain,
( ~ spl3_91
| ~ spl3_110
| spl3_132 ),
inference(avatar_split_clause,[],[f8721,f6106,f891,f704]) ).
fof(f8721,plain,
( e0 != op(e2,e0)
| ~ spl3_110
| spl3_132 ),
inference(superposition,[],[f6108,f893]) ).
fof(f9471,plain,
( ~ spl3_100
| spl3_49
| ~ spl3_114 ),
inference(avatar_split_clause,[],[f8665,f1126,f509,f768]) ).
fof(f8665,plain,
( e1 != op(e3,e0)
| spl3_49
| ~ spl3_114 ),
inference(superposition,[],[f511,f1128]) ).
fof(f9469,plain,
( ~ spl3_82
| spl3_53
| ~ spl3_98 ),
inference(avatar_split_clause,[],[f8449,f749,f529,f660]) ).
fof(f529,plain,
( spl3_53
<=> op(e3,e1) = op(e3,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_53])]) ).
fof(f8449,plain,
( e3 != op(e3,e1)
| spl3_53
| ~ spl3_98 ),
inference(superposition,[],[f531,f751]) ).
fof(f531,plain,
( op(e3,e1) != op(e3,e3)
| spl3_53 ),
inference(avatar_component_clause,[],[f529]) ).
fof(f9467,plain,
( ~ spl3_61
| spl3_32
| ~ spl3_94 ),
inference(avatar_split_clause,[],[f8347,f721,f424,f566]) ).
fof(f8347,plain,
( op(e0,e0) != e1
| spl3_32
| ~ spl3_94 ),
inference(superposition,[],[f426,f723]) ).
fof(f9466,plain,
( ~ spl3_57
| ~ spl3_72
| ~ spl3_114 ),
inference(avatar_split_clause,[],[f9464,f1126,f615,f548]) ).
fof(f9462,plain,
( ~ spl3_114
| ~ spl3_72
| spl3_131 ),
inference(avatar_split_clause,[],[f7482,f6037,f615,f1126]) ).
fof(f9460,plain,
( ~ spl3_68
| spl3_39
| ~ spl3_72 ),
inference(avatar_split_clause,[],[f7478,f615,f459,f597]) ).
fof(f7478,plain,
( e1 != op(e1,e0)
| spl3_39
| ~ spl3_72 ),
inference(superposition,[],[f461,f617]) ).
fof(f9458,plain,
( ~ spl3_95
| spl3_25
| ~ spl3_72 ),
inference(avatar_split_clause,[],[f7477,f615,f389,f725]) ).
fof(f7477,plain,
( e1 != op(e0,e3)
| spl3_25
| ~ spl3_72 ),
inference(superposition,[],[f391,f617]) ).
fof(f9456,plain,
( ~ spl3_117
| spl3_37
| ~ spl3_71 ),
inference(avatar_split_clause,[],[f7470,f611,f449,f1184]) ).
fof(f449,plain,
( spl3_37
<=> op(e1,e0) = op(e1,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_37])]) ).
fof(f7470,plain,
( e3 != op(e1,e0)
| spl3_37
| ~ spl3_71 ),
inference(superposition,[],[f451,f612]) ).
fof(f612,plain,
( e3 = op(e1,e1)
| ~ spl3_71 ),
inference(avatar_component_clause,[],[f611]) ).
fof(f451,plain,
( op(e1,e0) != op(e1,e1)
| spl3_37 ),
inference(avatar_component_clause,[],[f449]) ).
fof(f9454,plain,
( ~ spl3_107
| spl3_13
| ~ spl3_71 ),
inference(avatar_split_clause,[],[f7469,f611,f329,f823]) ).
fof(f329,plain,
( spl3_13
<=> op(e0,e1) = op(e1,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_13])]) ).
fof(f7469,plain,
( e3 != op(e0,e1)
| spl3_13
| ~ spl3_71 ),
inference(superposition,[],[f331,f612]) ).
fof(f331,plain,
( op(e0,e1) != op(e1,e1)
| spl3_13 ),
inference(avatar_component_clause,[],[f329]) ).
fof(f9451,plain,
( ~ spl3_118
| spl3_44
| ~ spl3_77 ),
inference(avatar_split_clause,[],[f7147,f638,f484,f1188]) ).
fof(f7147,plain,
( e3 != op(e2,e0)
| spl3_44
| ~ spl3_77 ),
inference(superposition,[],[f486,f639]) ).
fof(f9449,plain,
( ~ spl3_96
| spl3_41
| ~ spl3_72 ),
inference(avatar_split_clause,[],[f6441,f615,f469,f741]) ).
fof(f469,plain,
( spl3_41
<=> op(e1,e1) = op(e1,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_41])]) ).
fof(f6441,plain,
( e1 != op(e1,e1)
| spl3_41
| ~ spl3_72 ),
inference(superposition,[],[f471,f617]) ).
fof(f471,plain,
( op(e1,e1) != op(e1,e3)
| spl3_41 ),
inference(avatar_component_clause,[],[f469]) ).
fof(f9447,plain,
( ~ spl3_89
| spl3_33
| ~ spl3_66 ),
inference(avatar_split_clause,[],[f5105,f588,f429,f694]) ).
fof(f5105,plain,
( e0 != op(e0,e0)
| spl3_33
| ~ spl3_66 ),
inference(superposition,[],[f431,f590]) ).
fof(f9440,plain,
( spl3_101
| spl3_102
| spl3_3
| spl3_2
| ~ spl3_71
| ~ spl3_103 ),
inference(avatar_split_clause,[],[f8931,f795,f611,f274,f279,f782,f778]) ).
fof(f8931,plain,
( e0 = e2
| e0 = e3
| e0 = op(e3,e1)
| e0 = op(e2,e1)
| ~ spl3_71
| ~ spl3_103 ),
inference(forward_demodulation,[],[f7717,f797]) ).
fof(f7717,plain,
( e0 = e3
| e0 = op(e3,e1)
| e0 = op(e2,e1)
| e0 = op(e0,e1)
| ~ spl3_71 ),
inference(forward_demodulation,[],[f124,f612]) ).
fof(f9433,plain,
( spl3_99
| spl3_1
| spl3_4
| spl3_5
| ~ spl3_65
| ~ spl3_92
| ~ spl3_113 ),
inference(avatar_split_clause,[],[f9421,f1004,f708,f584,f289,f284,f269,f764]) ).
fof(f9421,plain,
( e1 = e3
| e1 = e2
| e0 = e1
| e1 = op(e2,e0)
| ~ spl3_65
| ~ spl3_92
| ~ spl3_113 ),
inference(forward_demodulation,[],[f8915,f585]) ).
fof(f8915,plain,
( e1 = e2
| e0 = e1
| e1 = op(e2,e0)
| op(e0,e0) = e1
| ~ spl3_92
| ~ spl3_113 ),
inference(forward_demodulation,[],[f5155,f1006]) ).
fof(f9411,plain,
( spl3_79
| spl3_2
| spl3_1
| ~ spl3_100
| ~ spl3_114
| ~ spl3_121 ),
inference(avatar_split_clause,[],[f9402,f1800,f1126,f768,f269,f274,f647]) ).
fof(f9402,plain,
( e0 = e1
| e0 = e2
| e0 = op(e3,e3)
| ~ spl3_100
| ~ spl3_114
| ~ spl3_121 ),
inference(duplicate_literal_removal,[],[f9401]) ).
fof(f9401,plain,
( e0 = e1
| e0 = e1
| e0 = e2
| e0 = op(e3,e3)
| ~ spl3_100
| ~ spl3_114
| ~ spl3_121 ),
inference(forward_demodulation,[],[f2157,f770]) ).
fof(f2157,plain,
( e0 = e1
| e0 = e2
| e0 = op(e3,e3)
| e0 = op(e3,e0)
| ~ spl3_114
| ~ spl3_121 ),
inference(forward_demodulation,[],[f2156,f1128]) ).
fof(f2156,plain,
( e0 = e2
| e0 = op(e3,e3)
| e0 = op(e3,e1)
| e0 = op(e3,e0)
| ~ spl3_121 ),
inference(forward_demodulation,[],[f139,f1802]) ).
fof(f9400,plain,
( spl3_127
| spl3_114
| spl3_5
| spl3_4
| ~ spl3_71
| ~ spl3_103 ),
inference(avatar_split_clause,[],[f8923,f795,f611,f284,f289,f1126,f4493]) ).
fof(f8923,plain,
( e1 = e2
| e1 = e3
| e1 = op(e3,e1)
| e1 = op(e2,e1)
| ~ spl3_71
| ~ spl3_103 ),
inference(forward_demodulation,[],[f7715,f797]) ).
fof(f7715,plain,
( e1 = e3
| e1 = op(e3,e1)
| e1 = op(e2,e1)
| e1 = op(e0,e1)
| ~ spl3_71 ),
inference(forward_demodulation,[],[f126,f612]) ).
fof(f9381,plain,
( spl3_98
| spl3_3
| spl3_6
| spl3_5
| ~ spl3_65
| ~ spl3_71
| ~ spl3_77 ),
inference(avatar_split_clause,[],[f9300,f638,f611,f584,f289,f294,f279,f749]) ).
fof(f9300,plain,
( e1 = e3
| e2 = e3
| e0 = e3
| e3 = op(e3,e3)
| ~ spl3_65
| ~ spl3_71
| ~ spl3_77 ),
inference(forward_demodulation,[],[f9299,f612]) ).
fof(f9299,plain,
( e2 = e3
| e0 = e3
| e3 = op(e3,e3)
| e1 = op(e1,e1)
| ~ spl3_65
| ~ spl3_77 ),
inference(forward_demodulation,[],[f863,f639]) ).
fof(f863,plain,
( e0 = e3
| e3 = op(e3,e3)
| e2 = op(e2,e2)
| e1 = op(e1,e1)
| ~ spl3_65 ),
inference(forward_demodulation,[],[f179,f585]) ).
fof(f179,plain,
( e3 = op(e3,e3)
| e2 = op(e2,e2)
| e1 = op(e1,e1)
| e0 = op(e0,e0) ),
inference(cnf_transformation,[],[f57]) ).
fof(f57,plain,
( ( e3 = op(e3,e3)
| e3 != op(e3,e3) )
& ( e3 = op(e3,e2)
| e2 != op(e3,e3) )
& ( e3 = op(e3,e1)
| e1 != op(e3,e3) )
& ( e3 = op(e3,e0)
| e0 != op(e3,e3) )
& ( e2 = op(e2,e3)
| e3 != op(e2,e2) )
& ( e2 = op(e2,e2)
| e2 != op(e2,e2) )
& ( e2 = op(e2,e1)
| e1 != op(e2,e2) )
& ( e2 = op(e2,e0)
| e0 != op(e2,e2) )
& ( e1 = op(e1,e3)
| e3 != op(e1,e1) )
& ( e1 = op(e1,e2)
| e2 != op(e1,e1) )
& ( e1 = op(e1,e1)
| e1 != op(e1,e1) )
& ( e1 = op(e1,e0)
| e0 != op(e1,e1) )
& ( e0 = op(e0,e3)
| op(e0,e0) != e3 )
& ( e0 = op(e0,e2)
| op(e0,e0) != e2 )
& ( e0 = op(e0,e1)
| op(e0,e0) != e1 )
& ( e0 = op(e0,e0)
| e0 != op(e0,e0) )
& ( e3 = op(e3,e3)
| e2 = op(e2,e2)
| e1 = op(e1,e1)
| e0 = op(e0,e0) )
& ( ( op(e3,e3) != op(e3,op(e3,e3))
& op(e3,e2) != op(e2,op(e3,e2))
& op(e3,e1) != op(e1,op(e3,e1))
& op(e3,e0) != op(e0,op(e3,e0)) )
| sP2
| sP1
| sP0 ) ),
inference(definition_folding,[],[f5,f56,f55,f54]) ).
fof(f5,axiom,
( ( e3 = op(e3,e3)
| e3 != op(e3,e3) )
& ( e3 = op(e3,e2)
| e2 != op(e3,e3) )
& ( e3 = op(e3,e1)
| e1 != op(e3,e3) )
& ( e3 = op(e3,e0)
| e0 != op(e3,e3) )
& ( e2 = op(e2,e3)
| e3 != op(e2,e2) )
& ( e2 = op(e2,e2)
| e2 != op(e2,e2) )
& ( e2 = op(e2,e1)
| e1 != op(e2,e2) )
& ( e2 = op(e2,e0)
| e0 != op(e2,e2) )
& ( e1 = op(e1,e3)
| e3 != op(e1,e1) )
& ( e1 = op(e1,e2)
| e2 != op(e1,e1) )
& ( e1 = op(e1,e1)
| e1 != op(e1,e1) )
& ( e1 = op(e1,e0)
| e0 != op(e1,e1) )
& ( e0 = op(e0,e3)
| op(e0,e0) != e3 )
& ( e0 = op(e0,e2)
| op(e0,e0) != e2 )
& ( e0 = op(e0,e1)
| op(e0,e0) != e1 )
& ( e0 = op(e0,e0)
| e0 != op(e0,e0) )
& ( e3 = op(e3,e3)
| e2 = op(e2,e2)
| e1 = op(e1,e1)
| e0 = op(e0,e0) )
& ( ( op(e3,e3) != op(e3,op(e3,e3))
& op(e3,e2) != op(e2,op(e3,e2))
& op(e3,e1) != op(e1,op(e3,e1))
& op(e3,e0) != op(e0,op(e3,e0)) )
| ( op(e2,e3) != op(e3,op(e2,e3))
& op(e2,e2) != op(e2,op(e2,e2))
& op(e2,e1) != op(e1,op(e2,e1))
& op(e2,e0) != op(e0,op(e2,e0)) )
| ( op(e1,e3) != op(e3,op(e1,e3))
& op(e1,e2) != op(e2,op(e1,e2))
& op(e1,e1) != op(e1,op(e1,e1))
& op(e1,e0) != op(e0,op(e1,e0)) )
| ( op(e0,e3) != op(e3,op(e0,e3))
& op(e0,e2) != op(e2,op(e0,e2))
& op(e0,e1) != op(e1,op(e0,e1))
& op(e0,e0) != op(e0,op(e0,e0)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax5) ).
fof(f9363,plain,
( spl3_121
| spl3_6
| spl3_2
| spl3_4
| ~ spl3_77
| ~ spl3_94
| ~ spl3_110 ),
inference(avatar_split_clause,[],[f9262,f891,f721,f638,f284,f274,f294,f1800]) ).
fof(f9262,plain,
( e1 = e2
| e0 = e2
| e2 = e3
| e2 = op(e3,e2)
| ~ spl3_77
| ~ spl3_94
| ~ spl3_110 ),
inference(forward_demodulation,[],[f9261,f723]) ).
fof(f9261,plain,
( e0 = e2
| e2 = e3
| e2 = op(e3,e2)
| e2 = op(e0,e2)
| ~ spl3_77
| ~ spl3_110 ),
inference(forward_demodulation,[],[f7296,f893]) ).
fof(f9338,plain,
( spl3_3
| ~ spl3_91
| ~ spl3_118 ),
inference(avatar_split_clause,[],[f5683,f1188,f704,f279]) ).
fof(f5683,plain,
( e0 = e3
| ~ spl3_91
| ~ spl3_118 ),
inference(superposition,[],[f706,f1190]) ).
fof(f9297,plain,
( spl3_3
| ~ spl3_60
| ~ spl3_65
| ~ spl3_66 ),
inference(avatar_split_clause,[],[f9270,f588,f584,f561,f279]) ).
fof(f561,plain,
( spl3_60
<=> op(e0,e0) = op(e0,op(e0,e0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_60])]) ).
fof(f9270,plain,
( e0 = e3
| ~ spl3_60
| ~ spl3_65
| ~ spl3_66 ),
inference(forward_demodulation,[],[f9078,f590]) ).
fof(f9078,plain,
( e3 = op(e0,e3)
| ~ spl3_60
| ~ spl3_65 ),
inference(forward_demodulation,[],[f562,f585]) ).
fof(f562,plain,
( op(e0,e0) = op(e0,op(e0,e0))
| ~ spl3_60 ),
inference(avatar_component_clause,[],[f561]) ).
fof(f9226,plain,
( spl3_6
| spl3_5
| ~ spl3_72
| ~ spl3_83
| ~ spl3_95
| ~ spl3_125 ),
inference(avatar_split_clause,[],[f9193,f2759,f725,f665,f615,f289,f294]) ).
fof(f9193,plain,
( e1 = e3
| e2 = e3
| ~ spl3_72
| ~ spl3_83
| ~ spl3_95
| ~ spl3_125 ),
inference(duplicate_literal_removal,[],[f9192]) ).
fof(f9192,plain,
( e1 = e3
| e2 = e3
| e1 = e3
| ~ spl3_72
| ~ spl3_83
| ~ spl3_95
| ~ spl3_125 ),
inference(forward_demodulation,[],[f8390,f2760]) ).
fof(f8390,plain,
( e2 = e3
| e1 = e3
| e3 = op(e2,e3)
| ~ spl3_72
| ~ spl3_83
| ~ spl3_95 ),
inference(forward_demodulation,[],[f2181,f666]) ).
fof(f2181,plain,
( e1 = e3
| e3 = op(e3,e3)
| e3 = op(e2,e3)
| ~ spl3_72
| ~ spl3_95 ),
inference(duplicate_literal_removal,[],[f2180]) ).
fof(f2180,plain,
( e1 = e3
| e1 = e3
| e3 = op(e3,e3)
| e3 = op(e2,e3)
| ~ spl3_72
| ~ spl3_95 ),
inference(forward_demodulation,[],[f2179,f727]) ).
fof(f2179,plain,
( e1 = e3
| e3 = op(e3,e3)
| e3 = op(e2,e3)
| e3 = op(e0,e3)
| ~ spl3_72 ),
inference(forward_demodulation,[],[f146,f617]) ).
fof(f9224,plain,
( spl3_121
| ~ spl3_83
| ~ spl3_88 ),
inference(avatar_split_clause,[],[f9205,f689,f665,f1800]) ).
fof(f9205,plain,
( e2 = op(e3,e2)
| ~ spl3_83
| ~ spl3_88 ),
inference(forward_demodulation,[],[f690,f666]) ).
fof(f9187,plain,
( spl3_75
| ~ spl3_83
| ~ spl3_98
| ~ spl3_125 ),
inference(avatar_split_clause,[],[f9186,f2759,f749,f665,f629]) ).
fof(f9186,plain,
( e1 = op(e2,e2)
| ~ spl3_83
| ~ spl3_98
| ~ spl3_125 ),
inference(forward_demodulation,[],[f2760,f3077]) ).
fof(f3077,plain,
( e2 = e3
| ~ spl3_83
| ~ spl3_98 ),
inference(superposition,[],[f666,f751]) ).
fof(f9158,plain,
( spl3_79
| spl3_3
| spl3_1
| ~ spl3_72
| ~ spl3_95
| ~ spl3_120 ),
inference(avatar_split_clause,[],[f9133,f1300,f725,f615,f269,f279,f647]) ).
fof(f9133,plain,
( e0 = e1
| e0 = e3
| e0 = op(e3,e3)
| ~ spl3_72
| ~ spl3_95
| ~ spl3_120 ),
inference(duplicate_literal_removal,[],[f9132]) ).
fof(f9132,plain,
( e0 = e1
| e0 = e3
| e0 = e1
| e0 = op(e3,e3)
| ~ spl3_72
| ~ spl3_95
| ~ spl3_120 ),
inference(forward_demodulation,[],[f4629,f727]) ).
fof(f4629,plain,
( e0 = e3
| e0 = e1
| e0 = op(e3,e3)
| e0 = op(e0,e3)
| ~ spl3_72
| ~ spl3_120 ),
inference(forward_demodulation,[],[f3913,f1302]) ).
fof(f3913,plain,
( e0 = e1
| e0 = op(e3,e3)
| e0 = op(e2,e3)
| e0 = op(e0,e3)
| ~ spl3_72 ),
inference(forward_demodulation,[],[f140,f617]) ).
fof(f9147,plain,
( spl3_83
| spl3_6
| spl3_4
| ~ spl3_72
| ~ spl3_95
| ~ spl3_120 ),
inference(avatar_split_clause,[],[f9126,f1300,f725,f615,f284,f294,f665]) ).
fof(f9126,plain,
( e1 = e2
| e2 = e3
| e2 = op(e3,e3)
| ~ spl3_72
| ~ spl3_95
| ~ spl3_120 ),
inference(duplicate_literal_removal,[],[f9125]) ).
fof(f9125,plain,
( e1 = e2
| e1 = e2
| e2 = e3
| e2 = op(e3,e3)
| ~ spl3_72
| ~ spl3_95
| ~ spl3_120 ),
inference(forward_demodulation,[],[f8972,f727]) ).
fof(f8972,plain,
( e1 = e2
| e2 = e3
| e2 = op(e3,e3)
| e2 = op(e0,e3)
| ~ spl3_72
| ~ spl3_120 ),
inference(forward_demodulation,[],[f4990,f617]) ).
fof(f4990,plain,
( e2 = e3
| e2 = op(e3,e3)
| e2 = op(e1,e3)
| e2 = op(e0,e3)
| ~ spl3_120 ),
inference(forward_demodulation,[],[f144,f1302]) ).
fof(f9119,plain,
( spl3_83
| spl3_4
| ~ spl3_72
| ~ spl3_95
| ~ spl3_125 ),
inference(avatar_split_clause,[],[f9102,f2759,f725,f615,f284,f665]) ).
fof(f9102,plain,
( e1 = e2
| e2 = op(e3,e3)
| ~ spl3_72
| ~ spl3_95
| ~ spl3_125 ),
inference(duplicate_literal_removal,[],[f9101]) ).
fof(f9101,plain,
( e1 = e2
| e1 = e2
| e2 = op(e3,e3)
| ~ spl3_72
| ~ spl3_95
| ~ spl3_125 ),
inference(forward_demodulation,[],[f8375,f2760]) ).
fof(f8375,plain,
( e1 = e2
| e2 = op(e3,e3)
| e2 = op(e2,e3)
| ~ spl3_72
| ~ spl3_95 ),
inference(duplicate_literal_removal,[],[f2183]) ).
fof(f2183,plain,
( e1 = e2
| e1 = e2
| e2 = op(e3,e3)
| e2 = op(e2,e3)
| ~ spl3_72
| ~ spl3_95 ),
inference(forward_demodulation,[],[f2182,f727]) ).
fof(f2182,plain,
( e1 = e2
| e2 = op(e3,e3)
| e2 = op(e2,e3)
| e2 = op(e0,e3)
| ~ spl3_72 ),
inference(forward_demodulation,[],[f144,f617]) ).
fof(f9117,plain,
( ~ spl3_126
| spl3_22
| ~ spl3_97 ),
inference(avatar_split_clause,[],[f1089,f745,f374,f3399]) ).
fof(f1089,plain,
( e2 != op(e1,e2)
| spl3_22
| ~ spl3_97 ),
inference(superposition,[],[f376,f747]) ).
fof(f9087,plain,
( spl3_4
| spl3_1
| ~ spl3_60
| ~ spl3_65
| ~ spl3_66
| ~ spl3_84
| ~ spl3_103 ),
inference(avatar_split_clause,[],[f8820,f795,f669,f588,f584,f561,f269,f284]) ).
fof(f8820,plain,
( e0 = e1
| e1 = e2
| ~ spl3_60
| ~ spl3_65
| ~ spl3_66
| ~ spl3_84
| ~ spl3_103 ),
inference(duplicate_literal_removal,[],[f8819]) ).
fof(f8819,plain,
( e0 = e1
| e1 = e2
| e0 = e1
| ~ spl3_60
| ~ spl3_65
| ~ spl3_66
| ~ spl3_84
| ~ spl3_103 ),
inference(forward_demodulation,[],[f8818,f8796]) ).
fof(f8796,plain,
( e0 = op(e0,e0)
| ~ spl3_60
| ~ spl3_65
| ~ spl3_66 ),
inference(forward_demodulation,[],[f585,f2437]) ).
fof(f2437,plain,
( e0 = e3
| ~ spl3_60
| ~ spl3_65
| ~ spl3_66 ),
inference(forward_demodulation,[],[f2435,f590]) ).
fof(f2435,plain,
( e3 = op(e0,e3)
| ~ spl3_60
| ~ spl3_65 ),
inference(superposition,[],[f562,f585]) ).
fof(f8818,plain,
( op(e0,e0) = e1
| e1 = e2
| e0 = e1
| ~ spl3_60
| ~ spl3_65
| ~ spl3_66
| ~ spl3_84
| ~ spl3_103 ),
inference(forward_demodulation,[],[f8817,f2437]) ).
fof(f8817,plain,
( e1 = e2
| e0 = e1
| e1 = op(e3,e0)
| ~ spl3_60
| ~ spl3_65
| ~ spl3_66
| ~ spl3_84
| ~ spl3_103 ),
inference(forward_demodulation,[],[f8816,f797]) ).
fof(f8816,plain,
( e1 = op(e0,e1)
| e0 = e1
| e1 = op(e3,e0)
| ~ spl3_60
| ~ spl3_65
| ~ spl3_66
| ~ spl3_84 ),
inference(forward_demodulation,[],[f8815,f2437]) ).
fof(f8815,plain,
( e0 = e1
| e1 = op(e3,e1)
| e1 = op(e3,e0)
| ~ spl3_60
| ~ spl3_65
| ~ spl3_66
| ~ spl3_84 ),
inference(duplicate_literal_removal,[],[f8814]) ).
fof(f8814,plain,
( e0 = e1
| e0 = e1
| e1 = op(e3,e1)
| e1 = op(e3,e0)
| ~ spl3_60
| ~ spl3_65
| ~ spl3_66
| ~ spl3_84 ),
inference(forward_demodulation,[],[f8813,f8796]) ).
fof(f8813,plain,
( op(e0,e0) = e1
| e0 = e1
| e1 = op(e3,e1)
| e1 = op(e3,e0)
| ~ spl3_60
| ~ spl3_65
| ~ spl3_66
| ~ spl3_84 ),
inference(forward_demodulation,[],[f8812,f2437]) ).
fof(f8812,plain,
( e0 = e1
| e1 = op(e3,e3)
| e1 = op(e3,e1)
| e1 = op(e3,e0)
| ~ spl3_60
| ~ spl3_65
| ~ spl3_66
| ~ spl3_84 ),
inference(forward_demodulation,[],[f6342,f2437]) ).
fof(f6342,plain,
( e1 = e3
| e1 = op(e3,e3)
| e1 = op(e3,e1)
| e1 = op(e3,e0)
| ~ spl3_84 ),
inference(forward_demodulation,[],[f141,f671]) ).
fof(f9039,plain,
( spl3_102
| spl3_3
| spl3_2
| ~ spl3_71
| ~ spl3_103
| ~ spl3_134 ),
inference(avatar_split_clause,[],[f9035,f7304,f795,f611,f274,f279,f782]) ).
fof(f9035,plain,
( e0 = e2
| e0 = e3
| e0 = op(e3,e1)
| ~ spl3_71
| ~ spl3_103
| ~ spl3_134 ),
inference(forward_demodulation,[],[f8532,f797]) ).
fof(f8532,plain,
( e0 = e3
| e0 = op(e3,e1)
| e0 = op(e0,e1)
| ~ spl3_71
| ~ spl3_134 ),
inference(duplicate_literal_removal,[],[f8531]) ).
fof(f8531,plain,
( e0 = e3
| e0 = e3
| e0 = op(e3,e1)
| e0 = op(e0,e1)
| ~ spl3_71
| ~ spl3_134 ),
inference(forward_demodulation,[],[f7717,f7305]) ).
fof(f9030,plain,
( spl3_134
| spl3_5
| spl3_3
| spl3_6
| ~ spl3_91
| ~ spl3_97
| ~ spl3_125 ),
inference(avatar_split_clause,[],[f9008,f2759,f745,f704,f294,f279,f289,f7304]) ).
fof(f9008,plain,
( e2 = e3
| e0 = e3
| e1 = e3
| e3 = op(e2,e1)
| ~ spl3_91
| ~ spl3_97
| ~ spl3_125 ),
inference(forward_demodulation,[],[f6844,f747]) ).
fof(f6844,plain,
( e0 = e3
| e1 = e3
| e3 = op(e2,e2)
| e3 = op(e2,e1)
| ~ spl3_91
| ~ spl3_125 ),
inference(forward_demodulation,[],[f6770,f706]) ).
fof(f6770,plain,
( e1 = e3
| e3 = op(e2,e2)
| e3 = op(e2,e1)
| e3 = op(e2,e0)
| ~ spl3_125 ),
inference(forward_demodulation,[],[f137,f2760]) ).
fof(f9022,plain,
( spl3_79
| spl3_3
| spl3_1
| spl3_2
| ~ spl3_84
| ~ spl3_100
| ~ spl3_115 ),
inference(avatar_split_clause,[],[f8975,f1143,f768,f669,f274,f269,f279,f647]) ).
fof(f8975,plain,
( e0 = e2
| e0 = e1
| e0 = e3
| e0 = op(e3,e3)
| ~ spl3_84
| ~ spl3_100
| ~ spl3_115 ),
inference(forward_demodulation,[],[f4074,f1145]) ).
fof(f4074,plain,
( e0 = e1
| e0 = e3
| e0 = op(e3,e3)
| e0 = op(e3,e1)
| ~ spl3_84
| ~ spl3_100 ),
inference(forward_demodulation,[],[f3836,f770]) ).
fof(f3836,plain,
( e0 = e3
| e0 = op(e3,e3)
| e0 = op(e3,e1)
| e0 = op(e3,e0)
| ~ spl3_84 ),
inference(forward_demodulation,[],[f139,f671]) ).
fof(f9001,plain,
( spl3_83
| spl3_6
| spl3_4
| spl3_2
| ~ spl3_66
| ~ spl3_72
| ~ spl3_120 ),
inference(avatar_split_clause,[],[f8969,f1300,f615,f588,f274,f284,f294,f665]) ).
fof(f8969,plain,
( e0 = e2
| e1 = e2
| e2 = e3
| e2 = op(e3,e3)
| ~ spl3_66
| ~ spl3_72
| ~ spl3_120 ),
inference(forward_demodulation,[],[f8968,f590]) ).
fof(f8968,plain,
( e1 = e2
| e2 = e3
| e2 = op(e3,e3)
| e2 = op(e0,e3)
| ~ spl3_72
| ~ spl3_120 ),
inference(forward_demodulation,[],[f5997,f617]) ).
fof(f5997,plain,
( e2 = e3
| e2 = op(e3,e3)
| e2 = op(e1,e3)
| e2 = op(e0,e3)
| ~ spl3_120 ),
inference(forward_demodulation,[],[f144,f1302]) ).
fof(f8953,plain,
( spl3_81
| spl3_5
| spl3_4
| spl3_1
| ~ spl3_84
| ~ spl3_92
| ~ spl3_115 ),
inference(avatar_split_clause,[],[f8922,f1143,f708,f669,f269,f284,f289,f656]) ).
fof(f8922,plain,
( e0 = e1
| e1 = e2
| e1 = e3
| e1 = op(e3,e3)
| ~ spl3_84
| ~ spl3_92
| ~ spl3_115 ),
inference(forward_demodulation,[],[f6708,f710]) ).
fof(f6708,plain,
( e1 = e2
| e1 = e3
| e1 = op(e3,e3)
| e1 = op(e3,e0)
| ~ spl3_84
| ~ spl3_115 ),
inference(forward_demodulation,[],[f6342,f1145]) ).
fof(f8917,plain,
( spl3_89
| ~ spl3_60
| ~ spl3_65
| ~ spl3_66 ),
inference(avatar_split_clause,[],[f8796,f588,f584,f561,f694]) ).
fof(f8806,plain,
( spl3_83
| spl3_2
| spl3_6
| spl3_4
| ~ spl3_84
| ~ spl3_100
| ~ spl3_102 ),
inference(avatar_split_clause,[],[f8742,f782,f768,f669,f284,f294,f274,f665]) ).
fof(f8742,plain,
( e1 = e2
| e2 = e3
| e0 = e2
| e2 = op(e3,e3)
| ~ spl3_84
| ~ spl3_100
| ~ spl3_102 ),
inference(forward_demodulation,[],[f8741,f770]) ).
fof(f8741,plain,
( e2 = e3
| e0 = e2
| e2 = op(e3,e3)
| e2 = op(e3,e0)
| ~ spl3_84
| ~ spl3_102 ),
inference(forward_demodulation,[],[f8462,f671]) ).
fof(f8462,plain,
( e0 = e2
| e2 = op(e3,e3)
| e2 = op(e3,e2)
| e2 = op(e3,e0)
| ~ spl3_102 ),
inference(forward_demodulation,[],[f143,f784]) ).
fof(f8763,plain,
( spl3_2
| ~ spl3_102
| ~ spl3_115 ),
inference(avatar_split_clause,[],[f8755,f1143,f782,f274]) ).
fof(f8755,plain,
( e0 = e2
| ~ spl3_102
| ~ spl3_115 ),
inference(superposition,[],[f784,f1145]) ).
fof(f8739,plain,
( spl3_102
| spl3_1
| spl3_3
| ~ spl3_71
| ~ spl3_107
| ~ spl3_127 ),
inference(avatar_split_clause,[],[f8688,f4493,f823,f611,f279,f269,f782]) ).
fof(f8688,plain,
( e0 = e3
| e0 = e1
| e0 = op(e3,e1)
| ~ spl3_71
| ~ spl3_107
| ~ spl3_127 ),
inference(duplicate_literal_removal,[],[f8687]) ).
fof(f8687,plain,
( e0 = e3
| e0 = e1
| e0 = e3
| e0 = op(e3,e1)
| ~ spl3_71
| ~ spl3_107
| ~ spl3_127 ),
inference(forward_demodulation,[],[f8686,f612]) ).
fof(f8686,plain,
( e0 = e1
| e0 = e3
| e0 = op(e3,e1)
| e0 = op(e1,e1)
| ~ spl3_107
| ~ spl3_127 ),
inference(forward_demodulation,[],[f1628,f4494]) ).
fof(f8671,plain,
( ~ spl3_71
| ~ spl3_61
| ~ spl3_105 ),
inference(avatar_split_clause,[],[f8648,f803,f566,f611]) ).
fof(f8648,plain,
( e3 != op(e1,e1)
| ~ spl3_61
| ~ spl3_105 ),
inference(trivial_inequality_removal,[],[f8647]) ).
fof(f8647,plain,
( e1 != e1
| e3 != op(e1,e1)
| ~ spl3_61
| ~ spl3_105 ),
inference(forward_demodulation,[],[f8646,f567]) ).
fof(f8646,plain,
( op(e0,e0) != e1
| e3 != op(e1,e1)
| ~ spl3_105 ),
inference(trivial_inequality_removal,[],[f8645]) ).
fof(f8645,plain,
( e2 != e2
| op(e0,e0) != e1
| e3 != op(e1,e1)
| ~ spl3_105 ),
inference(forward_demodulation,[],[f263,f805]) ).
fof(f263,plain,
( e2 != op(e0,e3)
| op(e0,e0) != e1
| e3 != op(e1,e1) ),
inference(inner_rewriting,[],[f262]) ).
fof(f262,plain,
( e2 != op(e0,op(e1,e1))
| op(e0,e0) != e1
| e3 != op(e1,e1) ),
inference(inner_rewriting,[],[f217]) ).
fof(f217,plain,
( e2 != op(e0,op(op(e0,e0),op(e0,e0)))
| op(e0,e0) != e1
| e3 != op(op(e0,e0),op(e0,e0)) ),
inference(cnf_transformation,[],[f51]) ).
fof(f51,plain,
( e2 != op(e0,op(op(e0,e0),op(e0,e0)))
| op(e0,e0) != e1
| e3 != op(op(e0,e0),op(e0,e0)) ),
inference(ennf_transformation,[],[f27]) ).
fof(f27,axiom,
~ ( e2 = op(e0,op(op(e0,e0),op(e0,e0)))
& op(e0,e0) = e1
& e3 = op(op(e0,e0),op(e0,e0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax27) ).
fof(f8629,plain,
( spl3_114
| spl3_1
| spl3_5
| ~ spl3_62
| ~ spl3_71
| ~ spl3_134 ),
inference(avatar_split_clause,[],[f8556,f7304,f611,f570,f289,f269,f1126]) ).
fof(f8556,plain,
( e1 = e3
| e0 = e1
| e1 = op(e3,e1)
| ~ spl3_62
| ~ spl3_71
| ~ spl3_134 ),
inference(duplicate_literal_removal,[],[f8555]) ).
fof(f8555,plain,
( e1 = e3
| e1 = e3
| e0 = e1
| e1 = op(e3,e1)
| ~ spl3_62
| ~ spl3_71
| ~ spl3_134 ),
inference(forward_demodulation,[],[f8554,f612]) ).
fof(f8554,plain,
( e1 = e3
| e0 = e1
| e1 = op(e3,e1)
| e1 = op(e1,e1)
| ~ spl3_62
| ~ spl3_134 ),
inference(forward_demodulation,[],[f6397,f7305]) ).
fof(f6397,plain,
( e0 = e1
| e1 = op(e3,e1)
| e1 = op(e2,e1)
| e1 = op(e1,e1)
| ~ spl3_62 ),
inference(forward_demodulation,[],[f126,f572]) ).
fof(f8618,plain,
( spl3_115
| spl3_2
| spl3_6
| ~ spl3_62
| ~ spl3_71
| ~ spl3_134 ),
inference(avatar_split_clause,[],[f8553,f7304,f611,f570,f294,f274,f1143]) ).
fof(f8553,plain,
( e2 = e3
| e0 = e2
| e2 = op(e3,e1)
| ~ spl3_62
| ~ spl3_71
| ~ spl3_134 ),
inference(duplicate_literal_removal,[],[f8552]) ).
fof(f8552,plain,
( e2 = e3
| e2 = e3
| e0 = e2
| e2 = op(e3,e1)
| ~ spl3_62
| ~ spl3_71
| ~ spl3_134 ),
inference(forward_demodulation,[],[f8551,f612]) ).
fof(f8595,plain,
( spl3_116
| spl3_2
| spl3_3
| ~ spl3_97
| ~ spl3_108
| ~ spl3_126 ),
inference(avatar_split_clause,[],[f8535,f3399,f827,f745,f279,f274,f1173]) ).
fof(f8535,plain,
( e0 = e3
| e0 = e2
| e0 = op(e3,e2)
| ~ spl3_97
| ~ spl3_108
| ~ spl3_126 ),
inference(forward_demodulation,[],[f8523,f829]) ).
fof(f8523,plain,
( e0 = e2
| e0 = op(e3,e2)
| e0 = op(e0,e2)
| ~ spl3_97
| ~ spl3_126 ),
inference(duplicate_literal_removal,[],[f8160]) ).
fof(f8160,plain,
( e0 = e2
| e0 = e2
| e0 = op(e3,e2)
| e0 = op(e0,e2)
| ~ spl3_97
| ~ spl3_126 ),
inference(forward_demodulation,[],[f1215,f3401]) ).
fof(f8580,plain,
( spl3_122
| spl3_4
| spl3_5
| ~ spl3_97
| ~ spl3_108
| ~ spl3_126 ),
inference(avatar_split_clause,[],[f8534,f3399,f827,f745,f289,f284,f1828]) ).
fof(f8534,plain,
( e1 = e3
| e1 = e2
| e1 = op(e3,e2)
| ~ spl3_97
| ~ spl3_108
| ~ spl3_126 ),
inference(forward_demodulation,[],[f8205,f829]) ).
fof(f8205,plain,
( e1 = e2
| e1 = op(e3,e2)
| e1 = op(e0,e2)
| ~ spl3_97
| ~ spl3_126 ),
inference(duplicate_literal_removal,[],[f8204]) ).
fof(f8204,plain,
( e1 = e2
| e1 = e2
| e1 = op(e3,e2)
| e1 = op(e0,e2)
| ~ spl3_97
| ~ spl3_126 ),
inference(forward_demodulation,[],[f8203,f3401]) ).
fof(f8518,plain,
( spl3_76
| spl3_6
| spl3_4
| spl3_2
| ~ spl3_71
| ~ spl3_93
| ~ spl3_102 ),
inference(avatar_split_clause,[],[f8479,f782,f717,f611,f274,f284,f294,f633]) ).
fof(f8479,plain,
( e0 = e2
| e1 = e2
| e2 = e3
| e2 = op(e2,e1)
| ~ spl3_71
| ~ spl3_93
| ~ spl3_102 ),
inference(forward_demodulation,[],[f8286,f784]) ).
fof(f8286,plain,
( e1 = e2
| e2 = e3
| e2 = op(e3,e1)
| e2 = op(e2,e1)
| ~ spl3_71
| ~ spl3_93 ),
inference(forward_demodulation,[],[f8285,f719]) ).
fof(f8285,plain,
( e2 = e3
| e2 = op(e3,e1)
| e2 = op(e2,e1)
| e2 = op(e0,e1)
| ~ spl3_71 ),
inference(forward_demodulation,[],[f128,f612]) ).
fof(f8517,plain,
( spl3_134
| spl3_6
| spl3_3
| spl3_5
| ~ spl3_97
| ~ spl3_99
| ~ spl3_124 ),
inference(avatar_split_clause,[],[f8276,f2038,f764,f745,f289,f279,f294,f7304]) ).
fof(f8276,plain,
( e1 = e3
| e0 = e3
| e2 = e3
| e3 = op(e2,e1)
| ~ spl3_97
| ~ spl3_99
| ~ spl3_124 ),
inference(forward_demodulation,[],[f7831,f766]) ).
fof(f7831,plain,
( e0 = e3
| e2 = e3
| e3 = op(e2,e1)
| e3 = op(e2,e0)
| ~ spl3_97
| ~ spl3_124 ),
inference(forward_demodulation,[],[f1285,f2040]) ).
fof(f1285,plain,
( e2 = e3
| e3 = op(e2,e3)
| e3 = op(e2,e1)
| e3 = op(e2,e0)
| ~ spl3_97 ),
inference(forward_demodulation,[],[f137,f747]) ).
fof(f8491,plain,
( spl3_6
| ~ spl3_80
| ~ spl3_85
| ~ spl3_105 ),
inference(avatar_split_clause,[],[f8487,f803,f674,f651,f294]) ).
fof(f8487,plain,
( e2 = e3
| ~ spl3_80
| ~ spl3_85
| ~ spl3_105 ),
inference(forward_demodulation,[],[f6768,f805]) ).
fof(f6768,plain,
( e3 = op(e0,e3)
| ~ spl3_80
| ~ spl3_85 ),
inference(forward_demodulation,[],[f675,f653]) ).
fof(f8455,plain,
( spl3_83
| spl3_4
| spl3_2
| ~ spl3_72
| ~ spl3_95
| ~ spl3_124 ),
inference(avatar_split_clause,[],[f8425,f2038,f725,f615,f274,f284,f665]) ).
fof(f8425,plain,
( e0 = e2
| e1 = e2
| e2 = op(e3,e3)
| ~ spl3_72
| ~ spl3_95
| ~ spl3_124 ),
inference(forward_demodulation,[],[f8375,f2040]) ).
fof(f8442,plain,
( spl3_98
| spl3_3
| spl3_5
| ~ spl3_72
| ~ spl3_95
| ~ spl3_124 ),
inference(avatar_split_clause,[],[f8419,f2038,f725,f615,f289,f279,f749]) ).
fof(f8419,plain,
( e1 = e3
| e0 = e3
| e3 = op(e3,e3)
| ~ spl3_72
| ~ spl3_95
| ~ spl3_124 ),
inference(duplicate_literal_removal,[],[f8418]) ).
fof(f8418,plain,
( e1 = e3
| e1 = e3
| e0 = e3
| e3 = op(e3,e3)
| ~ spl3_72
| ~ spl3_95
| ~ spl3_124 ),
inference(forward_demodulation,[],[f8417,f727]) ).
fof(f8417,plain,
( e1 = e3
| e0 = e3
| e3 = op(e3,e3)
| e3 = op(e0,e3)
| ~ spl3_72
| ~ spl3_124 ),
inference(forward_demodulation,[],[f2358,f617]) ).
fof(f8416,plain,
( spl3_3
| spl3_6
| spl3_5
| ~ spl3_72
| ~ spl3_83
| ~ spl3_95
| ~ spl3_124 ),
inference(avatar_split_clause,[],[f8389,f2038,f725,f665,f615,f289,f294,f279]) ).
fof(f8389,plain,
( e1 = e3
| e2 = e3
| e0 = e3
| ~ spl3_72
| ~ spl3_83
| ~ spl3_95
| ~ spl3_124 ),
inference(duplicate_literal_removal,[],[f8388]) ).
fof(f8388,plain,
( e1 = e3
| e2 = e3
| e1 = e3
| e0 = e3
| ~ spl3_72
| ~ spl3_83
| ~ spl3_95
| ~ spl3_124 ),
inference(forward_demodulation,[],[f8387,f617]) ).
fof(f8387,plain,
( e2 = e3
| e1 = e3
| e0 = e3
| e3 = op(e1,e3)
| ~ spl3_83
| ~ spl3_95
| ~ spl3_124 ),
inference(forward_demodulation,[],[f2359,f666]) ).
fof(f8404,plain,
( spl3_109
| ~ spl3_56
| ~ spl3_118 ),
inference(avatar_split_clause,[],[f8318,f1188,f543,f831]) ).
fof(f8318,plain,
( e3 = op(e0,e3)
| ~ spl3_56
| ~ spl3_118 ),
inference(forward_demodulation,[],[f544,f1190]) ).
fof(f8372,plain,
( spl3_110
| spl3_116
| spl3_1
| spl3_2
| ~ spl3_94
| ~ spl3_97 ),
inference(avatar_split_clause,[],[f2398,f745,f721,f274,f269,f1173,f891]) ).
fof(f2398,plain,
( e0 = e2
| e0 = e1
| e0 = op(e3,e2)
| e0 = op(e1,e2)
| ~ spl3_94
| ~ spl3_97 ),
inference(forward_demodulation,[],[f975,f747]) ).
fof(f8362,plain,
( spl3_127
| spl3_4
| spl3_5
| spl3_1
| ~ spl3_97
| ~ spl3_118
| ~ spl3_124 ),
inference(avatar_split_clause,[],[f8313,f2038,f1188,f745,f269,f289,f284,f4493]) ).
fof(f8313,plain,
( e0 = e1
| e1 = e3
| e1 = e2
| e1 = op(e2,e1)
| ~ spl3_97
| ~ spl3_118
| ~ spl3_124 ),
inference(forward_demodulation,[],[f6720,f2040]) ).
fof(f6720,plain,
( e1 = e3
| e1 = e2
| e1 = op(e2,e3)
| e1 = op(e2,e1)
| ~ spl3_97
| ~ spl3_118 ),
inference(forward_demodulation,[],[f6719,f1190]) ).
fof(f6719,plain,
( e1 = e2
| e1 = op(e2,e3)
| e1 = op(e2,e1)
| e1 = op(e2,e0)
| ~ spl3_97 ),
inference(forward_demodulation,[],[f133,f747]) ).
fof(f8358,plain,
( spl3_102
| spl3_2
| spl3_3
| spl3_1
| ~ spl3_71
| ~ spl3_103
| ~ spl3_127 ),
inference(avatar_split_clause,[],[f8338,f4493,f795,f611,f269,f279,f274,f782]) ).
fof(f8338,plain,
( e0 = e1
| e0 = e3
| e0 = e2
| e0 = op(e3,e1)
| ~ spl3_71
| ~ spl3_103
| ~ spl3_127 ),
inference(forward_demodulation,[],[f7714,f4494]) ).
fof(f7714,plain,
( e0 = e3
| e0 = e2
| e0 = op(e3,e1)
| e0 = op(e2,e1)
| ~ spl3_71
| ~ spl3_103 ),
inference(forward_demodulation,[],[f980,f612]) ).
fof(f980,plain,
( e0 = e2
| e0 = op(e3,e1)
| e0 = op(e2,e1)
| e0 = op(e1,e1)
| ~ spl3_103 ),
inference(forward_demodulation,[],[f124,f797]) ).
fof(f8324,plain,
( spl3_4
| spl3_5
| spl3_1
| ~ spl3_97
| ~ spl3_101
| ~ spl3_118
| ~ spl3_124 ),
inference(avatar_split_clause,[],[f8315,f2038,f1188,f778,f745,f269,f289,f284]) ).
fof(f8315,plain,
( e0 = e1
| e1 = e3
| e1 = e2
| ~ spl3_97
| ~ spl3_101
| ~ spl3_118
| ~ spl3_124 ),
inference(duplicate_literal_removal,[],[f8314]) ).
fof(f8314,plain,
( e0 = e1
| e0 = e1
| e1 = e3
| e1 = e2
| ~ spl3_97
| ~ spl3_101
| ~ spl3_118
| ~ spl3_124 ),
inference(forward_demodulation,[],[f8313,f780]) ).
fof(f8311,plain,
( spl3_118
| spl3_6
| spl3_3
| ~ spl3_97
| ~ spl3_101
| ~ spl3_124 ),
inference(avatar_split_clause,[],[f8291,f2038,f778,f745,f279,f294,f1188]) ).
fof(f8291,plain,
( e0 = e3
| e2 = e3
| e3 = op(e2,e0)
| ~ spl3_97
| ~ spl3_101
| ~ spl3_124 ),
inference(duplicate_literal_removal,[],[f8290]) ).
fof(f8290,plain,
( e0 = e3
| e0 = e3
| e2 = e3
| e3 = op(e2,e0)
| ~ spl3_97
| ~ spl3_101
| ~ spl3_124 ),
inference(forward_demodulation,[],[f1286,f2040]) ).
fof(f1286,plain,
( e0 = e3
| e2 = e3
| e3 = op(e2,e3)
| e3 = op(e2,e0)
| ~ spl3_97
| ~ spl3_101 ),
inference(forward_demodulation,[],[f1285,f780]) ).
fof(f8309,plain,
( spl3_122
| spl3_1
| spl3_4
| ~ spl3_64
| ~ spl3_97
| ~ spl3_126 ),
inference(avatar_split_clause,[],[f8230,f3399,f745,f579,f284,f269,f1828]) ).
fof(f8230,plain,
( e1 = e2
| e0 = e1
| e1 = op(e3,e2)
| ~ spl3_64
| ~ spl3_97
| ~ spl3_126 ),
inference(duplicate_literal_removal,[],[f8229]) ).
fof(f8229,plain,
( e1 = e2
| e1 = e2
| e0 = e1
| e1 = op(e3,e2)
| ~ spl3_64
| ~ spl3_97
| ~ spl3_126 ),
inference(forward_demodulation,[],[f3524,f747]) ).
fof(f3524,plain,
( e1 = e2
| e0 = e1
| e1 = op(e3,e2)
| e1 = op(e2,e2)
| ~ spl3_64
| ~ spl3_126 ),
inference(forward_demodulation,[],[f3265,f3401]) ).
fof(f8298,plain,
( spl3_6
| spl3_3
| spl3_5
| ~ spl3_97
| ~ spl3_99
| ~ spl3_101
| ~ spl3_124 ),
inference(avatar_split_clause,[],[f8292,f2038,f778,f764,f745,f289,f279,f294]) ).
fof(f8292,plain,
( e1 = e3
| e0 = e3
| e2 = e3
| ~ spl3_97
| ~ spl3_99
| ~ spl3_101
| ~ spl3_124 ),
inference(forward_demodulation,[],[f8291,f766]) ).
fof(f8283,plain,
( spl3_81
| spl3_5
| spl3_1
| ~ spl3_84
| ~ spl3_92
| ~ spl3_102 ),
inference(avatar_split_clause,[],[f8227,f782,f708,f669,f269,f289,f656]) ).
fof(f8227,plain,
( e0 = e1
| e1 = e3
| e1 = op(e3,e3)
| ~ spl3_84
| ~ spl3_92
| ~ spl3_102 ),
inference(duplicate_literal_removal,[],[f8226]) ).
fof(f8226,plain,
( e0 = e1
| e0 = e1
| e1 = e3
| e1 = op(e3,e3)
| ~ spl3_84
| ~ spl3_92
| ~ spl3_102 ),
inference(forward_demodulation,[],[f6369,f784]) ).
fof(f6369,plain,
( e0 = e1
| e1 = e3
| e1 = op(e3,e3)
| e1 = op(e3,e1)
| ~ spl3_84
| ~ spl3_92 ),
inference(forward_demodulation,[],[f6342,f710]) ).
fof(f8265,plain,
( spl3_2
| spl3_6
| spl3_4
| ~ spl3_71
| ~ spl3_93
| ~ spl3_102
| ~ spl3_127 ),
inference(avatar_split_clause,[],[f8222,f4493,f782,f717,f611,f284,f294,f274]) ).
fof(f8222,plain,
( e1 = e2
| e2 = e3
| e0 = e2
| ~ spl3_71
| ~ spl3_93
| ~ spl3_102
| ~ spl3_127 ),
inference(duplicate_literal_removal,[],[f8221]) ).
fof(f8221,plain,
( e1 = e2
| e2 = e3
| e0 = e2
| e1 = e2
| ~ spl3_71
| ~ spl3_93
| ~ spl3_102
| ~ spl3_127 ),
inference(forward_demodulation,[],[f7594,f4494]) ).
fof(f7594,plain,
( e2 = e3
| e0 = e2
| e1 = e2
| e2 = op(e2,e1)
| ~ spl3_71
| ~ spl3_93
| ~ spl3_102 ),
inference(forward_demodulation,[],[f7593,f612]) ).
fof(f7593,plain,
( e0 = e2
| e1 = e2
| e2 = op(e2,e1)
| e2 = op(e1,e1)
| ~ spl3_93
| ~ spl3_102 ),
inference(forward_demodulation,[],[f7320,f784]) ).
fof(f7320,plain,
( e1 = e2
| e2 = op(e3,e1)
| e2 = op(e2,e1)
| e2 = op(e1,e1)
| ~ spl3_93 ),
inference(forward_demodulation,[],[f128,f719]) ).
fof(f8259,plain,
( spl3_89
| ~ spl3_63
| ~ spl3_92
| ~ spl3_112 ),
inference(avatar_split_clause,[],[f8246,f992,f708,f575,f694]) ).
fof(f8246,plain,
( e0 = op(e0,e0)
| ~ spl3_63
| ~ spl3_92
| ~ spl3_112 ),
inference(forward_demodulation,[],[f576,f8242]) ).
fof(f8243,plain,
( spl3_2
| ~ spl3_60
| ~ spl3_63
| ~ spl3_64 ),
inference(avatar_split_clause,[],[f7206,f579,f575,f561,f274]) ).
fof(f7206,plain,
( e0 = e2
| ~ spl3_60
| ~ spl3_63
| ~ spl3_64 ),
inference(forward_demodulation,[],[f7205,f581]) ).
fof(f7205,plain,
( e2 = op(e0,e2)
| ~ spl3_60
| ~ spl3_63 ),
inference(superposition,[],[f562,f576]) ).
fof(f8199,plain,
( spl3_111
| spl3_2
| spl3_3
| ~ spl3_71
| ~ spl3_117
| ~ spl3_126 ),
inference(avatar_split_clause,[],[f8076,f3399,f1184,f611,f279,f274,f895]) ).
fof(f8076,plain,
( e0 = e3
| e0 = e2
| e0 = op(e1,e3)
| ~ spl3_71
| ~ spl3_117
| ~ spl3_126 ),
inference(duplicate_literal_removal,[],[f8075]) ).
fof(f8075,plain,
( e0 = e3
| e0 = e3
| e0 = e2
| e0 = op(e1,e3)
| ~ spl3_71
| ~ spl3_117
| ~ spl3_126 ),
inference(forward_demodulation,[],[f8074,f1186]) ).
fof(f8074,plain,
( e0 = e3
| e0 = e2
| e0 = op(e1,e3)
| e0 = op(e1,e0)
| ~ spl3_71
| ~ spl3_126 ),
inference(forward_demodulation,[],[f7627,f612]) ).
fof(f8159,plain,
( spl3_4
| ~ spl3_85
| ~ spl3_94
| ~ spl3_112 ),
inference(avatar_split_clause,[],[f8106,f992,f721,f674,f284]) ).
fof(f8106,plain,
( e1 = e2
| ~ spl3_85
| ~ spl3_94
| ~ spl3_112 ),
inference(forward_demodulation,[],[f5881,f723]) ).
fof(f8089,plain,
( spl3_134
| spl3_6
| spl3_3
| ~ spl3_73
| ~ spl3_74
| ~ spl3_124 ),
inference(avatar_split_clause,[],[f8066,f2038,f624,f620,f279,f294,f7304]) ).
fof(f8066,plain,
( e0 = e3
| e2 = e3
| e3 = op(e2,e1)
| ~ spl3_73
| ~ spl3_74
| ~ spl3_124 ),
inference(duplicate_literal_removal,[],[f8065]) ).
fof(f8065,plain,
( e0 = e3
| e2 = e3
| e0 = e3
| e3 = op(e2,e1)
| ~ spl3_73
| ~ spl3_74
| ~ spl3_124 ),
inference(forward_demodulation,[],[f7818,f621]) ).
fof(f7818,plain,
( e2 = e3
| e0 = e3
| e3 = op(e2,e2)
| e3 = op(e2,e1)
| ~ spl3_74
| ~ spl3_124 ),
inference(forward_demodulation,[],[f6337,f626]) ).
fof(f6337,plain,
( e0 = e3
| e3 = op(e2,e2)
| e3 = op(e2,e1)
| e3 = op(e2,e0)
| ~ spl3_124 ),
inference(forward_demodulation,[],[f137,f2040]) ).
fof(f8088,plain,
( spl3_127
| spl3_4
| spl3_1
| ~ spl3_73
| ~ spl3_74
| ~ spl3_124 ),
inference(avatar_split_clause,[],[f8047,f2038,f624,f620,f269,f284,f4493]) ).
fof(f8047,plain,
( e0 = e1
| e1 = e2
| e1 = op(e2,e1)
| ~ spl3_73
| ~ spl3_74
| ~ spl3_124 ),
inference(duplicate_literal_removal,[],[f8046]) ).
fof(f8046,plain,
( e0 = e1
| e1 = e2
| e0 = e1
| e1 = op(e2,e1)
| ~ spl3_73
| ~ spl3_74
| ~ spl3_124 ),
inference(forward_demodulation,[],[f7817,f621]) ).
fof(f7817,plain,
( e1 = e2
| e0 = e1
| e1 = op(e2,e2)
| e1 = op(e2,e1)
| ~ spl3_74
| ~ spl3_124 ),
inference(forward_demodulation,[],[f6338,f626]) ).
fof(f6338,plain,
( e0 = e1
| e1 = op(e2,e2)
| e1 = op(e2,e1)
| e1 = op(e2,e0)
| ~ spl3_124 ),
inference(forward_demodulation,[],[f133,f2040]) ).
fof(f8073,plain,
( spl3_126
| spl3_4
| spl3_6
| ~ spl3_71
| ~ spl3_72
| ~ spl3_117 ),
inference(avatar_split_clause,[],[f8044,f1184,f615,f611,f294,f284,f3399]) ).
fof(f8044,plain,
( e2 = e3
| e1 = e2
| e2 = op(e1,e2)
| ~ spl3_71
| ~ spl3_72
| ~ spl3_117 ),
inference(duplicate_literal_removal,[],[f8043]) ).
fof(f8043,plain,
( e2 = e3
| e2 = e3
| e1 = e2
| e2 = op(e1,e2)
| ~ spl3_71
| ~ spl3_72
| ~ spl3_117 ),
inference(forward_demodulation,[],[f7734,f1186]) ).
fof(f7734,plain,
( e2 = e3
| e1 = e2
| e2 = op(e1,e2)
| e2 = op(e1,e0)
| ~ spl3_71
| ~ spl3_72 ),
inference(forward_demodulation,[],[f7733,f612]) ).
fof(f7733,plain,
( e1 = e2
| e2 = op(e1,e2)
| e2 = op(e1,e1)
| e2 = op(e1,e0)
| ~ spl3_72 ),
inference(forward_demodulation,[],[f127,f617]) ).
fof(f8068,plain,
( spl3_79
| spl3_1
| spl3_3
| ~ spl3_82
| ~ spl3_84
| ~ spl3_100 ),
inference(avatar_split_clause,[],[f8037,f768,f669,f660,f279,f269,f647]) ).
fof(f8037,plain,
( e0 = e3
| e0 = e1
| e0 = op(e3,e3)
| ~ spl3_82
| ~ spl3_84
| ~ spl3_100 ),
inference(duplicate_literal_removal,[],[f8036]) ).
fof(f8036,plain,
( e0 = e3
| e0 = e1
| e0 = e3
| e0 = op(e3,e3)
| ~ spl3_82
| ~ spl3_84
| ~ spl3_100 ),
inference(forward_demodulation,[],[f4074,f662]) ).
fof(f8061,plain,
( spl3_5
| spl3_4
| spl3_1
| ~ spl3_73
| ~ spl3_74
| ~ spl3_124
| ~ spl3_134 ),
inference(avatar_split_clause,[],[f8049,f7304,f2038,f624,f620,f269,f284,f289]) ).
fof(f8049,plain,
( e0 = e1
| e1 = e2
| e1 = e3
| ~ spl3_73
| ~ spl3_74
| ~ spl3_124
| ~ spl3_134 ),
inference(duplicate_literal_removal,[],[f8048]) ).
fof(f8048,plain,
( e0 = e1
| e1 = e2
| e1 = e3
| e0 = e1
| ~ spl3_73
| ~ spl3_74
| ~ spl3_124
| ~ spl3_134 ),
inference(forward_demodulation,[],[f7954,f621]) ).
fof(f7954,plain,
( e1 = e2
| e1 = e3
| e0 = e1
| e1 = op(e2,e2)
| ~ spl3_74
| ~ spl3_124
| ~ spl3_134 ),
inference(forward_demodulation,[],[f7953,f626]) ).
fof(f7953,plain,
( e1 = e3
| e0 = e1
| e1 = op(e2,e2)
| e1 = op(e2,e0)
| ~ spl3_124
| ~ spl3_134 ),
inference(forward_demodulation,[],[f7952,f7305]) ).
fof(f7952,plain,
( e0 = e1
| e1 = op(e2,e2)
| e1 = op(e2,e1)
| e1 = op(e2,e0)
| ~ spl3_124 ),
inference(forward_demodulation,[],[f133,f2040]) ).
fof(f8038,plain,
( spl3_4
| ~ spl3_81
| ~ spl3_83 ),
inference(avatar_split_clause,[],[f5026,f665,f656,f284]) ).
fof(f5026,plain,
( e1 = e2
| ~ spl3_81
| ~ spl3_83 ),
inference(superposition,[],[f657,f666]) ).
fof(f8005,plain,
( spl3_79
| spl3_3
| ~ spl3_80
| ~ spl3_82
| ~ spl3_84 ),
inference(avatar_split_clause,[],[f7976,f669,f660,f651,f279,f647]) ).
fof(f7976,plain,
( e0 = e3
| e0 = op(e3,e3)
| ~ spl3_80
| ~ spl3_82
| ~ spl3_84 ),
inference(duplicate_literal_removal,[],[f7975]) ).
fof(f7975,plain,
( e0 = e3
| e0 = e3
| e0 = op(e3,e3)
| ~ spl3_80
| ~ spl3_82
| ~ spl3_84 ),
inference(forward_demodulation,[],[f5056,f671]) ).
fof(f5056,plain,
( e0 = e3
| e0 = op(e3,e3)
| e0 = op(e3,e2)
| ~ spl3_80
| ~ spl3_82 ),
inference(duplicate_literal_removal,[],[f5055]) ).
fof(f5055,plain,
( e0 = e3
| e0 = e3
| e0 = op(e3,e3)
| e0 = op(e3,e2)
| ~ spl3_80
| ~ spl3_82 ),
inference(forward_demodulation,[],[f5054,f653]) ).
fof(f5054,plain,
( e0 = e3
| e0 = op(e3,e3)
| e0 = op(e3,e2)
| e0 = op(e3,e0)
| ~ spl3_82 ),
inference(forward_demodulation,[],[f139,f662]) ).
fof(f7962,plain,
( spl3_114
| spl3_81
| spl3_5
| ~ spl3_80
| ~ spl3_84 ),
inference(avatar_split_clause,[],[f7949,f669,f651,f289,f656,f1126]) ).
fof(f7949,plain,
( e1 = e3
| e1 = op(e3,e3)
| e1 = op(e3,e1)
| ~ spl3_80
| ~ spl3_84 ),
inference(duplicate_literal_removal,[],[f7948]) ).
fof(f7948,plain,
( e1 = e3
| e1 = e3
| e1 = op(e3,e3)
| e1 = op(e3,e1)
| ~ spl3_80
| ~ spl3_84 ),
inference(forward_demodulation,[],[f7094,f671]) ).
fof(f7094,plain,
( e1 = e3
| e1 = op(e3,e3)
| e1 = op(e3,e2)
| e1 = op(e3,e1)
| ~ spl3_80 ),
inference(forward_demodulation,[],[f141,f653]) ).
fof(f7946,plain,
( spl3_1
| spl3_90
| ~ spl3_71
| ~ spl3_84
| ~ spl3_127
| ~ spl3_134 ),
inference(avatar_split_clause,[],[f7920,f7304,f4493,f669,f611,f700,f269]) ).
fof(f7920,plain,
( e0 = op(e1,e0)
| e0 = e1
| ~ spl3_71
| ~ spl3_84
| ~ spl3_127
| ~ spl3_134 ),
inference(forward_demodulation,[],[f7919,f7907]) ).
fof(f7919,plain,
( e0 = e1
| e0 = op(e3,e0)
| ~ spl3_71
| ~ spl3_84
| ~ spl3_127
| ~ spl3_134 ),
inference(duplicate_literal_removal,[],[f7918]) ).
fof(f7918,plain,
( e0 = e1
| e0 = e1
| e0 = op(e3,e0)
| ~ spl3_71
| ~ spl3_84
| ~ spl3_127
| ~ spl3_134 ),
inference(forward_demodulation,[],[f7917,f7907]) ).
fof(f7917,plain,
( e0 = e3
| e0 = e1
| e0 = op(e3,e0)
| ~ spl3_71
| ~ spl3_84
| ~ spl3_127
| ~ spl3_134 ),
inference(forward_demodulation,[],[f7916,f612]) ).
fof(f7916,plain,
( e0 = op(e1,e1)
| e0 = e1
| e0 = op(e3,e0)
| ~ spl3_71
| ~ spl3_84
| ~ spl3_127
| ~ spl3_134 ),
inference(forward_demodulation,[],[f7915,f7907]) ).
fof(f7915,plain,
( e0 = e1
| e0 = op(e3,e1)
| e0 = op(e3,e0)
| ~ spl3_71
| ~ spl3_84
| ~ spl3_127
| ~ spl3_134 ),
inference(duplicate_literal_removal,[],[f7914]) ).
fof(f7914,plain,
( e0 = e1
| e0 = e1
| e0 = op(e3,e1)
| e0 = op(e3,e0)
| ~ spl3_71
| ~ spl3_84
| ~ spl3_127
| ~ spl3_134 ),
inference(forward_demodulation,[],[f7913,f7907]) ).
fof(f7913,plain,
( e0 = e3
| e0 = e1
| e0 = op(e3,e1)
| e0 = op(e3,e0)
| ~ spl3_71
| ~ spl3_84
| ~ spl3_127
| ~ spl3_134 ),
inference(forward_demodulation,[],[f7912,f612]) ).
fof(f7912,plain,
( e0 = op(e1,e1)
| e0 = e1
| e0 = op(e3,e1)
| e0 = op(e3,e0)
| ~ spl3_84
| ~ spl3_127
| ~ spl3_134 ),
inference(forward_demodulation,[],[f7911,f7907]) ).
fof(f7911,plain,
( e0 = e1
| e0 = op(e3,e3)
| e0 = op(e3,e1)
| e0 = op(e3,e0)
| ~ spl3_84
| ~ spl3_127
| ~ spl3_134 ),
inference(forward_demodulation,[],[f4989,f7907]) ).
fof(f7908,plain,
( spl3_79
| spl3_1
| spl3_3
| ~ spl3_80
| ~ spl3_84
| ~ spl3_114 ),
inference(avatar_split_clause,[],[f7836,f1126,f669,f651,f279,f269,f647]) ).
fof(f7836,plain,
( e0 = e3
| e0 = e1
| e0 = op(e3,e3)
| ~ spl3_80
| ~ spl3_84
| ~ spl3_114 ),
inference(duplicate_literal_removal,[],[f7835]) ).
fof(f7835,plain,
( e0 = e3
| e0 = e1
| e0 = e3
| e0 = op(e3,e3)
| ~ spl3_80
| ~ spl3_84
| ~ spl3_114 ),
inference(forward_demodulation,[],[f7834,f653]) ).
fof(f7834,plain,
( e0 = e1
| e0 = e3
| e0 = op(e3,e3)
| e0 = op(e3,e0)
| ~ spl3_84
| ~ spl3_114 ),
inference(forward_demodulation,[],[f6713,f1128]) ).
fof(f6713,plain,
( e0 = e3
| e0 = op(e3,e3)
| e0 = op(e3,e1)
| e0 = op(e3,e0)
| ~ spl3_84 ),
inference(forward_demodulation,[],[f139,f671]) ).
fof(f7906,plain,
( spl3_134
| spl3_3
| spl3_6
| ~ spl3_74
| ~ spl3_97
| ~ spl3_124 ),
inference(avatar_split_clause,[],[f7828,f2038,f745,f624,f294,f279,f7304]) ).
fof(f7828,plain,
( e2 = e3
| e0 = e3
| e3 = op(e2,e1)
| ~ spl3_74
| ~ spl3_97
| ~ spl3_124 ),
inference(duplicate_literal_removal,[],[f7827]) ).
fof(f7827,plain,
( e2 = e3
| e0 = e3
| e2 = e3
| e3 = op(e2,e1)
| ~ spl3_74
| ~ spl3_97
| ~ spl3_124 ),
inference(forward_demodulation,[],[f6626,f626]) ).
fof(f6626,plain,
( e0 = e3
| e2 = e3
| e3 = op(e2,e1)
| e3 = op(e2,e0)
| ~ spl3_97
| ~ spl3_124 ),
inference(forward_demodulation,[],[f1285,f2040]) ).
fof(f7900,plain,
( spl3_127
| spl3_1
| spl3_4
| ~ spl3_74
| ~ spl3_97
| ~ spl3_124 ),
inference(avatar_split_clause,[],[f7825,f2038,f745,f624,f284,f269,f4493]) ).
fof(f7825,plain,
( e1 = e2
| e0 = e1
| e1 = op(e2,e1)
| ~ spl3_74
| ~ spl3_97
| ~ spl3_124 ),
inference(duplicate_literal_removal,[],[f7824]) ).
fof(f7824,plain,
( e1 = e2
| e0 = e1
| e1 = e2
| e1 = op(e2,e1)
| ~ spl3_74
| ~ spl3_97
| ~ spl3_124 ),
inference(forward_demodulation,[],[f7823,f626]) ).
fof(f7823,plain,
( e0 = e1
| e1 = e2
| e1 = op(e2,e1)
| e1 = op(e2,e0)
| ~ spl3_97
| ~ spl3_124 ),
inference(forward_demodulation,[],[f6719,f2040]) ).
fof(f7795,plain,
( spl3_125
| spl3_5
| spl3_1
| spl3_4
| ~ spl3_74
| ~ spl3_77
| ~ spl3_101 ),
inference(avatar_split_clause,[],[f7785,f778,f638,f624,f284,f269,f289,f2759]) ).
fof(f7785,plain,
( e1 = e2
| e0 = e1
| e1 = e3
| e1 = op(e2,e3)
| ~ spl3_74
| ~ spl3_77
| ~ spl3_101 ),
inference(forward_demodulation,[],[f7134,f626]) ).
fof(f7134,plain,
( e0 = e1
| e1 = e3
| e1 = op(e2,e3)
| e1 = op(e2,e0)
| ~ spl3_77
| ~ spl3_101 ),
inference(forward_demodulation,[],[f1634,f780]) ).
fof(f1634,plain,
( e1 = e3
| e1 = op(e2,e3)
| e1 = op(e2,e1)
| e1 = op(e2,e0)
| ~ spl3_77 ),
inference(forward_demodulation,[],[f133,f639]) ).
fof(f7793,plain,
( ~ spl3_118
| spl3_12
| ~ spl3_80 ),
inference(avatar_split_clause,[],[f4850,f651,f324,f1188]) ).
fof(f324,plain,
( spl3_12
<=> op(e2,e0) = op(e3,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_12])]) ).
fof(f4850,plain,
( e3 != op(e2,e0)
| spl3_12
| ~ spl3_80 ),
inference(superposition,[],[f326,f653]) ).
fof(f326,plain,
( op(e2,e0) != op(e3,e0)
| spl3_12 ),
inference(avatar_component_clause,[],[f324]) ).
fof(f7784,plain,
( spl3_101
| spl3_124
| spl3_3
| spl3_2
| ~ spl3_74
| ~ spl3_77 ),
inference(avatar_split_clause,[],[f7634,f638,f624,f274,f279,f2038,f778]) ).
fof(f7634,plain,
( e0 = e2
| e0 = e3
| e0 = op(e2,e3)
| e0 = op(e2,e1)
| ~ spl3_74
| ~ spl3_77 ),
inference(forward_demodulation,[],[f1627,f626]) ).
fof(f1627,plain,
( e0 = e3
| e0 = op(e2,e3)
| e0 = op(e2,e1)
| e0 = op(e2,e0)
| ~ spl3_77 ),
inference(forward_demodulation,[],[f131,f639]) ).
fof(f7777,plain,
( spl3_114
| spl3_4
| spl3_5
| spl3_1
| ~ spl3_79
| ~ spl3_80
| ~ spl3_121 ),
inference(avatar_split_clause,[],[f7762,f1800,f651,f647,f269,f289,f284,f1126]) ).
fof(f7762,plain,
( e0 = e1
| e1 = e3
| e1 = e2
| e1 = op(e3,e1)
| ~ spl3_79
| ~ spl3_80
| ~ spl3_121 ),
inference(forward_demodulation,[],[f4826,f648]) ).
fof(f4826,plain,
( e1 = e3
| e1 = e2
| e1 = op(e3,e3)
| e1 = op(e3,e1)
| ~ spl3_80
| ~ spl3_121 ),
inference(forward_demodulation,[],[f4825,f653]) ).
fof(f4825,plain,
( e1 = e2
| e1 = op(e3,e3)
| e1 = op(e3,e1)
| e1 = op(e3,e0)
| ~ spl3_121 ),
inference(forward_demodulation,[],[f141,f1802]) ).
fof(f7759,plain,
( spl3_122
| spl3_1
| spl3_4
| spl3_5
| ~ spl3_79
| ~ spl3_80
| ~ spl3_115 ),
inference(avatar_split_clause,[],[f7751,f1143,f651,f647,f289,f284,f269,f1828]) ).
fof(f7751,plain,
( e1 = e3
| e1 = e2
| e0 = e1
| e1 = op(e3,e2)
| ~ spl3_79
| ~ spl3_80
| ~ spl3_115 ),
inference(forward_demodulation,[],[f6760,f653]) ).
fof(f6760,plain,
( e1 = e2
| e0 = e1
| e1 = op(e3,e2)
| e1 = op(e3,e0)
| ~ spl3_79
| ~ spl3_115 ),
inference(forward_demodulation,[],[f4914,f1145]) ).
fof(f4914,plain,
( e0 = e1
| e1 = op(e3,e2)
| e1 = op(e3,e1)
| e1 = op(e3,e0)
| ~ spl3_79 ),
inference(forward_demodulation,[],[f141,f648]) ).
fof(f7748,plain,
( spl3_115
| spl3_121
| spl3_2
| spl3_6
| ~ spl3_79
| ~ spl3_80 ),
inference(avatar_split_clause,[],[f6860,f651,f647,f294,f274,f1800,f1143]) ).
fof(f6860,plain,
( e2 = e3
| e0 = e2
| e2 = op(e3,e2)
| e2 = op(e3,e1)
| ~ spl3_79
| ~ spl3_80 ),
inference(forward_demodulation,[],[f1746,f653]) ).
fof(f1746,plain,
( e0 = e2
| e2 = op(e3,e2)
| e2 = op(e3,e1)
| e2 = op(e3,e0)
| ~ spl3_79 ),
inference(forward_demodulation,[],[f143,f648]) ).
fof(f7744,plain,
( spl3_126
| spl3_6
| spl3_4
| ~ spl3_77
| ~ spl3_94
| ~ spl3_122 ),
inference(avatar_split_clause,[],[f7738,f1828,f721,f638,f284,f294,f3399]) ).
fof(f7738,plain,
( e1 = e2
| e2 = e3
| e2 = op(e1,e2)
| ~ spl3_77
| ~ spl3_94
| ~ spl3_122 ),
inference(duplicate_literal_removal,[],[f7737]) ).
fof(f7737,plain,
( e1 = e2
| e1 = e2
| e2 = e3
| e2 = op(e1,e2)
| ~ spl3_77
| ~ spl3_94
| ~ spl3_122 ),
inference(forward_demodulation,[],[f7736,f723]) ).
fof(f7727,plain,
( spl3_116
| spl3_1
| spl3_3
| spl3_2
| ~ spl3_77
| ~ spl3_94
| ~ spl3_126 ),
inference(avatar_split_clause,[],[f7693,f3399,f721,f638,f274,f279,f269,f1173]) ).
fof(f7693,plain,
( e0 = e2
| e0 = e3
| e0 = e1
| e0 = op(e3,e2)
| ~ spl3_77
| ~ spl3_94
| ~ spl3_126 ),
inference(forward_demodulation,[],[f7692,f3401]) ).
fof(f7722,plain,
( spl3_111
| spl3_1
| spl3_3
| spl3_2
| ~ spl3_68
| ~ spl3_71
| ~ spl3_126 ),
inference(avatar_split_clause,[],[f7681,f3399,f611,f597,f274,f279,f269,f895]) ).
fof(f7681,plain,
( e0 = e2
| e0 = e3
| e0 = e1
| e0 = op(e1,e3)
| ~ spl3_68
| ~ spl3_71
| ~ spl3_126 ),
inference(forward_demodulation,[],[f7578,f3401]) ).
fof(f7578,plain,
( e0 = e3
| e0 = e1
| e0 = op(e1,e3)
| e0 = op(e1,e2)
| ~ spl3_68
| ~ spl3_71 ),
inference(forward_demodulation,[],[f3854,f612]) ).
fof(f3854,plain,
( e0 = e1
| e0 = op(e1,e3)
| e0 = op(e1,e2)
| e0 = op(e1,e1)
| ~ spl3_68 ),
inference(forward_demodulation,[],[f123,f599]) ).
fof(f7712,plain,
( spl3_121
| spl3_2
| spl3_6
| ~ spl3_79
| ~ spl3_80
| ~ spl3_102 ),
inference(avatar_split_clause,[],[f7595,f782,f651,f647,f294,f274,f1800]) ).
fof(f7595,plain,
( e2 = e3
| e0 = e2
| e2 = op(e3,e2)
| ~ spl3_79
| ~ spl3_80
| ~ spl3_102 ),
inference(forward_demodulation,[],[f7266,f653]) ).
fof(f7266,plain,
( e0 = e2
| e2 = op(e3,e2)
| e2 = op(e3,e0)
| ~ spl3_79
| ~ spl3_102 ),
inference(duplicate_literal_removal,[],[f7265]) ).
fof(f7265,plain,
( e0 = e2
| e0 = e2
| e2 = op(e3,e2)
| e2 = op(e3,e0)
| ~ spl3_79
| ~ spl3_102 ),
inference(forward_demodulation,[],[f2692,f648]) ).
fof(f2692,plain,
( e0 = e2
| e2 = op(e3,e3)
| e2 = op(e3,e2)
| e2 = op(e3,e0)
| ~ spl3_102 ),
inference(forward_demodulation,[],[f143,f784]) ).
fof(f7680,plain,
( spl3_3
| ~ spl3_73
| ~ spl3_77 ),
inference(avatar_split_clause,[],[f7653,f638,f620,f279]) ).
fof(f7653,plain,
( e0 = e3
| ~ spl3_73
| ~ spl3_77 ),
inference(superposition,[],[f621,f639]) ).
fof(f7574,plain,
( spl3_1
| ~ spl3_73
| ~ spl3_78
| ~ spl3_125
| ~ spl3_126 ),
inference(avatar_split_clause,[],[f7572,f3399,f2759,f642,f620,f269]) ).
fof(f7572,plain,
( e0 = e1
| ~ spl3_73
| ~ spl3_78
| ~ spl3_125
| ~ spl3_126 ),
inference(forward_demodulation,[],[f7571,f7548]) ).
fof(f7548,plain,
( e0 = op(e1,e1)
| ~ spl3_73
| ~ spl3_78
| ~ spl3_125 ),
inference(forward_demodulation,[],[f621,f3443]) ).
fof(f3443,plain,
( e1 = e2
| ~ spl3_78
| ~ spl3_125 ),
inference(superposition,[],[f2760,f644]) ).
fof(f7571,plain,
( e1 = op(e1,e1)
| ~ spl3_78
| ~ spl3_125
| ~ spl3_126 ),
inference(forward_demodulation,[],[f3401,f3443]) ).
fof(f7562,plain,
( spl3_68
| ~ spl3_74
| ~ spl3_78
| ~ spl3_125 ),
inference(avatar_split_clause,[],[f7465,f2759,f642,f624,f597]) ).
fof(f7465,plain,
( e1 = op(e1,e0)
| ~ spl3_74
| ~ spl3_78
| ~ spl3_125 ),
inference(forward_demodulation,[],[f626,f3443]) ).
fof(f7483,plain,
( spl3_93
| ~ spl3_78
| ~ spl3_103
| ~ spl3_125 ),
inference(avatar_split_clause,[],[f7451,f2759,f795,f642,f717]) ).
fof(f7451,plain,
( e1 = op(e0,e1)
| ~ spl3_78
| ~ spl3_103
| ~ spl3_125 ),
inference(forward_demodulation,[],[f797,f3443]) ).
fof(f7476,plain,
( spl3_72
| ~ spl3_78
| ~ spl3_125 ),
inference(avatar_split_clause,[],[f7327,f2759,f642,f615]) ).
fof(f7327,plain,
( e1 = op(e1,e3)
| ~ spl3_78
| ~ spl3_125 ),
inference(forward_demodulation,[],[f2760,f3443]) ).
fof(f7366,plain,
( spl3_3
| ~ spl3_71
| ~ spl3_78
| ~ spl3_101
| ~ spl3_125 ),
inference(avatar_split_clause,[],[f7365,f2759,f778,f642,f611,f279]) ).
fof(f7365,plain,
( e0 = e3
| ~ spl3_71
| ~ spl3_78
| ~ spl3_101
| ~ spl3_125 ),
inference(forward_demodulation,[],[f612,f7336]) ).
fof(f7336,plain,
( e0 = op(e1,e1)
| ~ spl3_78
| ~ spl3_101
| ~ spl3_125 ),
inference(forward_demodulation,[],[f780,f3443]) ).
fof(f7338,plain,
( spl3_71
| ~ spl3_77
| ~ spl3_78
| ~ spl3_125 ),
inference(avatar_split_clause,[],[f6881,f2759,f642,f638,f611]) ).
fof(f6881,plain,
( e3 = op(e1,e1)
| ~ spl3_77
| ~ spl3_78
| ~ spl3_125 ),
inference(forward_demodulation,[],[f639,f3443]) ).
fof(f7308,plain,
( spl3_122
| spl3_1
| spl3_5
| ~ spl3_79
| ~ spl3_80
| ~ spl3_102 ),
inference(avatar_split_clause,[],[f7264,f782,f651,f647,f289,f269,f1828]) ).
fof(f7264,plain,
( e1 = e3
| e0 = e1
| e1 = op(e3,e2)
| ~ spl3_79
| ~ spl3_80
| ~ spl3_102 ),
inference(forward_demodulation,[],[f7247,f653]) ).
fof(f7247,plain,
( e0 = e1
| e1 = op(e3,e2)
| e1 = op(e3,e0)
| ~ spl3_79
| ~ spl3_102 ),
inference(duplicate_literal_removal,[],[f7246]) ).
fof(f7246,plain,
( e0 = e1
| e0 = e1
| e1 = op(e3,e2)
| e1 = op(e3,e0)
| ~ spl3_79
| ~ spl3_102 ),
inference(forward_demodulation,[],[f2531,f648]) ).
fof(f7307,plain,
( ~ spl3_134
| spl3_46
| ~ spl3_77 ),
inference(avatar_split_clause,[],[f1355,f638,f494,f7304]) ).
fof(f1355,plain,
( e3 != op(e2,e1)
| spl3_46
| ~ spl3_77 ),
inference(superposition,[],[f496,f639]) ).
fof(f7291,plain,
( ~ spl3_79
| ~ spl3_122
| ~ spl3_63 ),
inference(avatar_split_clause,[],[f7275,f575,f1828,f647]) ).
fof(f7275,plain,
( e1 != op(e3,e2)
| e0 != op(e3,e3)
| ~ spl3_63 ),
inference(trivial_inequality_removal,[],[f7274]) ).
fof(f7274,plain,
( e2 != e2
| e1 != op(e3,e2)
| e0 != op(e3,e3)
| ~ spl3_63 ),
inference(forward_demodulation,[],[f245,f576]) ).
fof(f245,plain,
( e1 != op(e3,e2)
| e0 != op(e3,e3)
| op(e0,e0) != e2 ),
inference(inner_rewriting,[],[f244]) ).
fof(f244,plain,
( e1 != op(e3,op(e0,e0))
| e0 != op(e3,e3)
| op(e0,e0) != e2 ),
inference(inner_rewriting,[],[f208]) ).
fof(f208,plain,
( e1 != op(e3,op(op(e3,e3),op(e3,e3)))
| e0 != op(e3,e3)
| e2 != op(op(e3,e3),op(e3,e3)) ),
inference(cnf_transformation,[],[f42]) ).
fof(f42,plain,
( e1 != op(e3,op(op(e3,e3),op(e3,e3)))
| e0 != op(e3,e3)
| e2 != op(op(e3,e3),op(e3,e3)) ),
inference(ennf_transformation,[],[f18]) ).
fof(f18,axiom,
~ ( e1 = op(e3,op(op(e3,e3),op(e3,e3)))
& e0 = op(e3,e3)
& e2 = op(op(e3,e3),op(e3,e3)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax18) ).
fof(f7273,plain,
( spl3_122
| spl3_5
| spl3_1
| ~ spl3_64
| ~ spl3_77
| ~ spl3_110 ),
inference(avatar_split_clause,[],[f7137,f891,f638,f579,f269,f289,f1828]) ).
fof(f7137,plain,
( e0 = e1
| e1 = e3
| e1 = op(e3,e2)
| ~ spl3_64
| ~ spl3_77
| ~ spl3_110 ),
inference(duplicate_literal_removal,[],[f7136]) ).
fof(f7136,plain,
( e0 = e1
| e1 = e3
| e0 = e1
| e1 = op(e3,e2)
| ~ spl3_64
| ~ spl3_77
| ~ spl3_110 ),
inference(forward_demodulation,[],[f3397,f893]) ).
fof(f3397,plain,
( e1 = e3
| e0 = e1
| e1 = op(e3,e2)
| e1 = op(e1,e2)
| ~ spl3_64
| ~ spl3_77 ),
inference(forward_demodulation,[],[f3265,f639]) ).
fof(f7262,plain,
( spl3_1
| spl3_100
| ~ spl3_60
| ~ spl3_63
| ~ spl3_64
| ~ spl3_79
| ~ spl3_102 ),
inference(avatar_split_clause,[],[f7249,f782,f647,f579,f575,f561,f768,f269]) ).
fof(f7249,plain,
( e1 = op(e3,e0)
| e0 = e1
| ~ spl3_60
| ~ spl3_63
| ~ spl3_64
| ~ spl3_79
| ~ spl3_102 ),
inference(duplicate_literal_removal,[],[f7248]) ).
fof(f7248,plain,
( e1 = op(e3,e0)
| e0 = e1
| e1 = op(e3,e0)
| ~ spl3_60
| ~ spl3_63
| ~ spl3_64
| ~ spl3_79
| ~ spl3_102 ),
inference(forward_demodulation,[],[f7247,f7206]) ).
fof(f7207,plain,
( spl3_125
| spl3_5
| spl3_1
| ~ spl3_77
| ~ spl3_91
| ~ spl3_101 ),
inference(avatar_split_clause,[],[f7129,f778,f704,f638,f269,f289,f2759]) ).
fof(f7129,plain,
( e0 = e1
| e1 = e3
| e1 = op(e2,e3)
| ~ spl3_77
| ~ spl3_91
| ~ spl3_101 ),
inference(duplicate_literal_removal,[],[f7128]) ).
fof(f7128,plain,
( e0 = e1
| e0 = e1
| e1 = e3
| e1 = op(e2,e3)
| ~ spl3_77
| ~ spl3_91
| ~ spl3_101 ),
inference(forward_demodulation,[],[f6964,f780]) ).
fof(f6964,plain,
( e0 = e1
| e1 = e3
| e1 = op(e2,e3)
| e1 = op(e2,e1)
| ~ spl3_77
| ~ spl3_91 ),
inference(forward_demodulation,[],[f6963,f706]) ).
fof(f6963,plain,
( e1 = e3
| e1 = op(e2,e3)
| e1 = op(e2,e1)
| e1 = op(e2,e0)
| ~ spl3_77 ),
inference(forward_demodulation,[],[f133,f639]) ).
fof(f7202,plain,
( ~ spl3_89
| spl3_56
| ~ spl3_91 ),
inference(avatar_split_clause,[],[f6883,f704,f543,f694]) ).
fof(f6883,plain,
( e0 != op(e0,e0)
| spl3_56
| ~ spl3_91 ),
inference(forward_demodulation,[],[f545,f706]) ).
fof(f7089,plain,
( spl3_79
| spl3_1
| spl3_3
| ~ spl3_109
| ~ spl3_119
| ~ spl3_125 ),
inference(avatar_split_clause,[],[f7082,f2759,f1247,f831,f279,f269,f647]) ).
fof(f7082,plain,
( e0 = e3
| e0 = e1
| e0 = op(e3,e3)
| ~ spl3_109
| ~ spl3_119
| ~ spl3_125 ),
inference(duplicate_literal_removal,[],[f7081]) ).
fof(f7081,plain,
( e0 = e3
| e0 = e3
| e0 = e1
| e0 = op(e3,e3)
| ~ spl3_109
| ~ spl3_119
| ~ spl3_125 ),
inference(forward_demodulation,[],[f7080,f833]) ).
fof(f7080,plain,
( e0 = e3
| e0 = e1
| e0 = op(e3,e3)
| e0 = op(e0,e3)
| ~ spl3_119
| ~ spl3_125 ),
inference(forward_demodulation,[],[f2846,f1249]) ).
fof(f7079,plain,
( spl3_114
| spl3_1
| spl3_5
| ~ spl3_79
| ~ spl3_80
| ~ spl3_84 ),
inference(avatar_split_clause,[],[f6698,f669,f651,f647,f289,f269,f1126]) ).
fof(f6698,plain,
( e1 = e3
| e0 = e1
| e1 = op(e3,e1)
| ~ spl3_79
| ~ spl3_80
| ~ spl3_84 ),
inference(duplicate_literal_removal,[],[f4932]) ).
fof(f4932,plain,
( e1 = e3
| e0 = e1
| e1 = e3
| e1 = op(e3,e1)
| ~ spl3_79
| ~ spl3_80
| ~ spl3_84 ),
inference(forward_demodulation,[],[f4931,f653]) ).
fof(f4931,plain,
( e0 = e1
| e1 = e3
| e1 = op(e3,e1)
| e1 = op(e3,e0)
| ~ spl3_79
| ~ spl3_84 ),
inference(forward_demodulation,[],[f3253,f648]) ).
fof(f3253,plain,
( e1 = e3
| e1 = op(e3,e3)
| e1 = op(e3,e1)
| e1 = op(e3,e0)
| ~ spl3_84 ),
inference(forward_demodulation,[],[f141,f671]) ).
fof(f7043,plain,
( spl3_1
| ~ spl3_91
| ~ spl3_99 ),
inference(avatar_split_clause,[],[f7028,f764,f704,f269]) ).
fof(f7028,plain,
( e0 = e1
| ~ spl3_91
| ~ spl3_99 ),
inference(forward_demodulation,[],[f766,f706]) ).
fof(f6996,plain,
( spl3_4
| spl3_5
| spl3_1
| ~ spl3_78
| ~ spl3_79
| ~ spl3_109
| ~ spl3_119 ),
inference(avatar_split_clause,[],[f6956,f1247,f831,f647,f642,f269,f289,f284]) ).
fof(f6956,plain,
( e0 = e1
| e1 = e3
| e1 = e2
| ~ spl3_78
| ~ spl3_79
| ~ spl3_109
| ~ spl3_119 ),
inference(forward_demodulation,[],[f6840,f648]) ).
fof(f6840,plain,
( e1 = e3
| e1 = e2
| e1 = op(e3,e3)
| ~ spl3_78
| ~ spl3_109
| ~ spl3_119 ),
inference(duplicate_literal_removal,[],[f3310]) ).
fof(f3310,plain,
( e1 = e3
| e1 = e3
| e1 = e2
| e1 = op(e3,e3)
| ~ spl3_78
| ~ spl3_109
| ~ spl3_119 ),
inference(forward_demodulation,[],[f3309,f833]) ).
fof(f3309,plain,
( e1 = e3
| e1 = e2
| e1 = op(e3,e3)
| e1 = op(e0,e3)
| ~ spl3_78
| ~ spl3_119 ),
inference(forward_demodulation,[],[f3308,f1249]) ).
fof(f6994,plain,
( spl3_92
| ~ spl3_79
| ~ spl3_88 ),
inference(avatar_split_clause,[],[f6936,f689,f647,f708]) ).
fof(f6936,plain,
( e0 = op(e3,e0)
| ~ spl3_79
| ~ spl3_88 ),
inference(forward_demodulation,[],[f690,f648]) ).
fof(f6946,plain,
( spl3_89
| ~ spl3_79
| ~ spl3_98 ),
inference(avatar_split_clause,[],[f4813,f749,f647,f694]) ).
fof(f4813,plain,
( e0 = op(e0,e0)
| ~ spl3_79
| ~ spl3_98 ),
inference(forward_demodulation,[],[f648,f1538]) ).
fof(f1538,plain,
( e0 = e3
| ~ spl3_79
| ~ spl3_98 ),
inference(superposition,[],[f648,f751]) ).
fof(f6885,plain,
( spl3_5
| ~ spl3_77
| ~ spl3_78
| ~ spl3_96
| ~ spl3_125 ),
inference(avatar_split_clause,[],[f6882,f2759,f741,f642,f638,f289]) ).
fof(f6882,plain,
( e1 = e3
| ~ spl3_77
| ~ spl3_78
| ~ spl3_96
| ~ spl3_125 ),
inference(forward_demodulation,[],[f6881,f743]) ).
fof(f6884,plain,
( ~ spl3_57
| ~ spl3_96 ),
inference(avatar_split_clause,[],[f6222,f741,f548]) ).
fof(f6222,plain,
( ~ sP1
| ~ spl3_96 ),
inference(trivial_inequality_removal,[],[f4520]) ).
fof(f6837,plain,
( spl3_122
| spl3_1
| spl3_4
| ~ spl3_97
| ~ spl3_104
| ~ spl3_110 ),
inference(avatar_split_clause,[],[f6765,f891,f799,f745,f284,f269,f1828]) ).
fof(f6765,plain,
( e1 = e2
| e0 = e1
| e1 = op(e3,e2)
| ~ spl3_97
| ~ spl3_104
| ~ spl3_110 ),
inference(duplicate_literal_removal,[],[f6764]) ).
fof(f6764,plain,
( e1 = e2
| e1 = e2
| e0 = e1
| e1 = op(e3,e2)
| ~ spl3_97
| ~ spl3_104
| ~ spl3_110 ),
inference(forward_demodulation,[],[f1843,f747]) ).
fof(f1843,plain,
( e1 = e2
| e0 = e1
| e1 = op(e3,e2)
| e1 = op(e2,e2)
| ~ spl3_104
| ~ spl3_110 ),
inference(forward_demodulation,[],[f1842,f801]) ).
fof(f1842,plain,
( e0 = e1
| e1 = op(e3,e2)
| e1 = op(e2,e2)
| e1 = op(e0,e2)
| ~ spl3_110 ),
inference(forward_demodulation,[],[f134,f893]) ).
fof(f6836,plain,
( ~ spl3_79
| ~ spl3_61
| ~ spl3_115 ),
inference(avatar_split_clause,[],[f6811,f1143,f566,f647]) ).
fof(f6811,plain,
( e0 != op(e3,e3)
| ~ spl3_61
| ~ spl3_115 ),
inference(trivial_inequality_removal,[],[f6810]) ).
fof(f6810,plain,
( e1 != e1
| e0 != op(e3,e3)
| ~ spl3_61
| ~ spl3_115 ),
inference(forward_demodulation,[],[f6809,f567]) ).
fof(f6809,plain,
( e0 != op(e3,e3)
| op(e0,e0) != e1
| ~ spl3_115 ),
inference(trivial_inequality_removal,[],[f6808]) ).
fof(f6808,plain,
( e2 != e2
| e0 != op(e3,e3)
| op(e0,e0) != e1
| ~ spl3_115 ),
inference(forward_demodulation,[],[f233,f1145]) ).
fof(f233,plain,
( e2 != op(e3,e1)
| e0 != op(e3,e3)
| op(e0,e0) != e1 ),
inference(inner_rewriting,[],[f232]) ).
fof(f232,plain,
( e2 != op(e3,op(e0,e0))
| e0 != op(e3,e3)
| op(e0,e0) != e1 ),
inference(inner_rewriting,[],[f202]) ).
fof(f202,plain,
( e2 != op(e3,op(op(e3,e3),op(e3,e3)))
| e0 != op(e3,e3)
| e1 != op(op(e3,e3),op(e3,e3)) ),
inference(cnf_transformation,[],[f36]) ).
fof(f36,plain,
( e2 != op(e3,op(op(e3,e3),op(e3,e3)))
| e0 != op(e3,e3)
| e1 != op(op(e3,e3),op(e3,e3)) ),
inference(ennf_transformation,[],[f12]) ).
fof(f12,axiom,
~ ( e2 = op(e3,op(op(e3,e3),op(e3,e3)))
& e0 = op(e3,e3)
& e1 = op(op(e3,e3),op(e3,e3)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax12) ).
fof(f6807,plain,
( ~ spl3_79
| ~ spl3_71
| ~ spl3_113 ),
inference(avatar_split_clause,[],[f6707,f1004,f611,f647]) ).
fof(f6707,plain,
( e0 != op(e3,e3)
| ~ spl3_71
| ~ spl3_113 ),
inference(trivial_inequality_removal,[],[f6706]) ).
fof(f6706,plain,
( e3 != e3
| e0 != op(e3,e3)
| ~ spl3_71
| ~ spl3_113 ),
inference(forward_demodulation,[],[f6599,f612]) ).
fof(f6599,plain,
( e3 != op(e1,e1)
| e0 != op(e3,e3)
| ~ spl3_113 ),
inference(trivial_inequality_removal,[],[f1518]) ).
fof(f1518,plain,
( e2 != e2
| e3 != op(e1,e1)
| e0 != op(e3,e3)
| ~ spl3_113 ),
inference(forward_demodulation,[],[f231,f1006]) ).
fof(f231,plain,
( e2 != op(e1,e0)
| e3 != op(e1,e1)
| e0 != op(e3,e3) ),
inference(inner_rewriting,[],[f230]) ).
fof(f230,plain,
( e2 != op(e1,op(e3,e3))
| e3 != op(e1,e1)
| e0 != op(e3,e3) ),
inference(inner_rewriting,[],[f201]) ).
fof(f201,plain,
( e2 != op(e1,op(op(e1,e1),op(e1,e1)))
| e3 != op(e1,e1)
| e0 != op(op(e1,e1),op(e1,e1)) ),
inference(cnf_transformation,[],[f35]) ).
fof(f35,plain,
( e2 != op(e1,op(op(e1,e1),op(e1,e1)))
| e3 != op(e1,e1)
| e0 != op(op(e1,e1),op(e1,e1)) ),
inference(ennf_transformation,[],[f11]) ).
fof(f11,axiom,
~ ( e2 = op(e1,op(op(e1,e1),op(e1,e1)))
& e3 = op(e1,e1)
& e0 = op(op(e1,e1),op(e1,e1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax11) ).
fof(f6756,plain,
( spl3_1
| ~ spl3_61
| ~ spl3_62
| ~ spl3_85
| ~ spl3_91
| ~ spl3_118 ),
inference(avatar_split_clause,[],[f6737,f1188,f704,f674,f570,f566,f269]) ).
fof(f6737,plain,
( e0 = e1
| ~ spl3_61
| ~ spl3_62
| ~ spl3_85
| ~ spl3_91
| ~ spl3_118 ),
inference(forward_demodulation,[],[f6736,f572]) ).
fof(f6736,plain,
( e1 = op(e0,e1)
| ~ spl3_61
| ~ spl3_85
| ~ spl3_91
| ~ spl3_118 ),
inference(forward_demodulation,[],[f6735,f567]) ).
fof(f6735,plain,
( op(e0,e0) = op(e0,op(e0,e0))
| ~ spl3_85
| ~ spl3_91
| ~ spl3_118 ),
inference(forward_demodulation,[],[f675,f5683]) ).
fof(f6697,plain,
( spl3_83
| spl3_4
| spl3_2
| spl3_6
| ~ spl3_72
| ~ spl3_109
| ~ spl3_124 ),
inference(avatar_split_clause,[],[f6435,f2038,f831,f615,f294,f274,f284,f665]) ).
fof(f6435,plain,
( e2 = e3
| e0 = e2
| e1 = e2
| e2 = op(e3,e3)
| ~ spl3_72
| ~ spl3_109
| ~ spl3_124 ),
inference(forward_demodulation,[],[f6434,f833]) ).
fof(f6434,plain,
( e0 = e2
| e1 = e2
| e2 = op(e3,e3)
| e2 = op(e0,e3)
| ~ spl3_72
| ~ spl3_124 ),
inference(forward_demodulation,[],[f2182,f2040]) ).
fof(f6696,plain,
( ~ spl3_83
| ~ spl3_71
| ~ spl3_110 ),
inference(avatar_split_clause,[],[f253,f891,f611,f665]) ).
fof(f253,plain,
( e0 != op(e1,e2)
| e3 != op(e1,e1)
| e2 != op(e3,e3) ),
inference(inner_rewriting,[],[f252]) ).
fof(f252,plain,
( e0 != op(e1,op(e3,e3))
| e3 != op(e1,e1)
| e2 != op(e3,e3) ),
inference(inner_rewriting,[],[f212]) ).
fof(f212,plain,
( e0 != op(e1,op(op(e1,e1),op(e1,e1)))
| e3 != op(e1,e1)
| e2 != op(op(e1,e1),op(e1,e1)) ),
inference(cnf_transformation,[],[f46]) ).
fof(f46,plain,
( e0 != op(e1,op(op(e1,e1),op(e1,e1)))
| e3 != op(e1,e1)
| e2 != op(op(e1,e1),op(e1,e1)) ),
inference(ennf_transformation,[],[f22]) ).
fof(f22,axiom,
~ ( e0 = op(e1,op(op(e1,e1),op(e1,e1)))
& e3 = op(e1,e1)
& e2 = op(op(e1,e1),op(e1,e1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax22) ).
fof(f6683,plain,
( spl3_118
| spl3_6
| spl3_3
| spl3_5
| ~ spl3_61
| ~ spl3_92
| ~ spl3_113 ),
inference(avatar_split_clause,[],[f6681,f1004,f708,f566,f289,f279,f294,f1188]) ).
fof(f6681,plain,
( e1 = e3
| e0 = e3
| e2 = e3
| e3 = op(e2,e0)
| ~ spl3_61
| ~ spl3_92
| ~ spl3_113 ),
inference(forward_demodulation,[],[f6607,f567]) ).
fof(f6607,plain,
( e0 = e3
| e2 = e3
| e3 = op(e2,e0)
| op(e0,e0) = e3
| ~ spl3_92
| ~ spl3_113 ),
inference(forward_demodulation,[],[f5502,f710]) ).
fof(f5502,plain,
( e2 = e3
| e3 = op(e3,e0)
| e3 = op(e2,e0)
| op(e0,e0) = e3
| ~ spl3_113 ),
inference(forward_demodulation,[],[f122,f1006]) ).
fof(f6680,plain,
( spl3_5
| spl3_3
| spl3_6
| ~ spl3_61
| ~ spl3_74
| ~ spl3_92
| ~ spl3_113 ),
inference(avatar_split_clause,[],[f6606,f1004,f708,f624,f566,f294,f279,f289]) ).
fof(f6606,plain,
( e2 = e3
| e0 = e3
| e1 = e3
| ~ spl3_61
| ~ spl3_74
| ~ spl3_92
| ~ spl3_113 ),
inference(duplicate_literal_removal,[],[f6605]) ).
fof(f6605,plain,
( e2 = e3
| e0 = e3
| e1 = e3
| e2 = e3
| ~ spl3_61
| ~ spl3_74
| ~ spl3_92
| ~ spl3_113 ),
inference(forward_demodulation,[],[f6604,f626]) ).
fof(f6604,plain,
( e0 = e3
| e1 = e3
| e2 = e3
| e3 = op(e2,e0)
| ~ spl3_61
| ~ spl3_92
| ~ spl3_113 ),
inference(forward_demodulation,[],[f5503,f710]) ).
fof(f5503,plain,
( e1 = e3
| e2 = e3
| e3 = op(e3,e0)
| e3 = op(e2,e0)
| ~ spl3_61
| ~ spl3_113 ),
inference(forward_demodulation,[],[f5502,f567]) ).
fof(f6598,plain,
( spl3_2
| ~ spl3_62
| ~ spl3_103 ),
inference(avatar_split_clause,[],[f886,f795,f570,f274]) ).
fof(f886,plain,
( e0 = e2
| ~ spl3_62
| ~ spl3_103 ),
inference(superposition,[],[f797,f572]) ).
fof(f6579,plain,
( spl3_79
| ~ spl3_62
| ~ spl3_83
| ~ spl3_103 ),
inference(avatar_split_clause,[],[f6578,f795,f665,f570,f647]) ).
fof(f6578,plain,
( e0 = op(e3,e3)
| ~ spl3_62
| ~ spl3_83
| ~ spl3_103 ),
inference(forward_demodulation,[],[f666,f886]) ).
fof(f6561,plain,
( spl3_5
| spl3_3
| ~ spl3_62
| ~ spl3_96
| ~ spl3_103
| ~ spl3_115 ),
inference(avatar_split_clause,[],[f6496,f1143,f795,f741,f570,f279,f289]) ).
fof(f6496,plain,
( e0 = e3
| e1 = e3
| ~ spl3_62
| ~ spl3_96
| ~ spl3_103
| ~ spl3_115 ),
inference(duplicate_literal_removal,[],[f6495]) ).
fof(f6495,plain,
( e0 = e3
| e0 = e3
| e1 = e3
| ~ spl3_62
| ~ spl3_96
| ~ spl3_103
| ~ spl3_115 ),
inference(forward_demodulation,[],[f6494,f572]) ).
fof(f6494,plain,
( e3 = op(e0,e1)
| e0 = e3
| e1 = e3
| ~ spl3_62
| ~ spl3_96
| ~ spl3_103
| ~ spl3_115 ),
inference(forward_demodulation,[],[f6493,f886]) ).
fof(f6493,plain,
( e0 = e3
| e1 = e3
| e3 = op(e2,e1)
| ~ spl3_62
| ~ spl3_96
| ~ spl3_103
| ~ spl3_115 ),
inference(duplicate_literal_removal,[],[f6492]) ).
fof(f6492,plain,
( e0 = e3
| e0 = e3
| e1 = e3
| e3 = op(e2,e1)
| ~ spl3_62
| ~ spl3_96
| ~ spl3_103
| ~ spl3_115 ),
inference(forward_demodulation,[],[f6491,f886]) ).
fof(f6491,plain,
( e2 = e3
| e0 = e3
| e1 = e3
| e3 = op(e2,e1)
| ~ spl3_62
| ~ spl3_96
| ~ spl3_115 ),
inference(forward_demodulation,[],[f6371,f1145]) ).
fof(f6371,plain,
( e0 = e3
| e1 = e3
| e3 = op(e3,e1)
| e3 = op(e2,e1)
| ~ spl3_62
| ~ spl3_96 ),
inference(forward_demodulation,[],[f6370,f572]) ).
fof(f6527,plain,
( spl3_104
| ~ spl3_56
| ~ spl3_74 ),
inference(avatar_split_clause,[],[f6417,f624,f543,f799]) ).
fof(f6417,plain,
( e2 = op(e0,e2)
| ~ spl3_56
| ~ spl3_74 ),
inference(forward_demodulation,[],[f544,f626]) ).
fof(f6515,plain,
( ~ spl3_57
| ~ spl3_96 ),
inference(avatar_split_clause,[],[f6222,f741,f548]) ).
fof(f6462,plain,
( ~ spl3_70
| spl3_42
| ~ spl3_72 ),
inference(avatar_split_clause,[],[f4661,f615,f474,f606]) ).
fof(f4661,plain,
( e1 != op(e1,e2)
| spl3_42
| ~ spl3_72 ),
inference(superposition,[],[f476,f617]) ).
fof(f6447,plain,
( spl3_69
| spl3_4
| spl3_6
| ~ spl3_70
| ~ spl3_72
| ~ spl3_117 ),
inference(avatar_split_clause,[],[f6431,f1184,f615,f606,f294,f284,f602]) ).
fof(f6431,plain,
( e2 = e3
| e1 = e2
| e2 = op(e1,e1)
| ~ spl3_70
| ~ spl3_72
| ~ spl3_117 ),
inference(forward_demodulation,[],[f6430,f1186]) ).
fof(f6430,plain,
( e1 = e2
| e2 = op(e1,e1)
| e2 = op(e1,e0)
| ~ spl3_70
| ~ spl3_72 ),
inference(duplicate_literal_removal,[],[f6429]) ).
fof(f6429,plain,
( e1 = e2
| e1 = e2
| e2 = op(e1,e1)
| e2 = op(e1,e0)
| ~ spl3_70
| ~ spl3_72 ),
inference(forward_demodulation,[],[f3717,f608]) ).
fof(f3717,plain,
( e1 = e2
| e2 = op(e1,e2)
| e2 = op(e1,e1)
| e2 = op(e1,e0)
| ~ spl3_72 ),
inference(forward_demodulation,[],[f127,f617]) ).
fof(f6427,plain,
( spl3_72
| spl3_81
| spl3_5
| spl3_1
| ~ spl3_109
| ~ spl3_124 ),
inference(avatar_split_clause,[],[f6341,f2038,f831,f269,f289,f656,f615]) ).
fof(f6341,plain,
( e0 = e1
| e1 = e3
| e1 = op(e3,e3)
| e1 = op(e1,e3)
| ~ spl3_109
| ~ spl3_124 ),
inference(forward_demodulation,[],[f6167,f2040]) ).
fof(f6418,plain,
( spl3_115
| spl3_83
| spl3_6
| spl3_2
| ~ spl3_84
| ~ spl3_92 ),
inference(avatar_split_clause,[],[f6162,f708,f669,f274,f294,f665,f1143]) ).
fof(f6162,plain,
( e0 = e2
| e2 = e3
| e2 = op(e3,e3)
| e2 = op(e3,e1)
| ~ spl3_84
| ~ spl3_92 ),
inference(forward_demodulation,[],[f6161,f710]) ).
fof(f6161,plain,
( e2 = e3
| e2 = op(e3,e3)
| e2 = op(e3,e1)
| e2 = op(e3,e0)
| ~ spl3_84 ),
inference(forward_demodulation,[],[f143,f671]) ).
fof(f6416,plain,
( ~ spl3_104
| spl3_56
| ~ spl3_74 ),
inference(avatar_split_clause,[],[f3227,f624,f543,f799]) ).
fof(f3227,plain,
( e2 != op(e0,e2)
| spl3_56
| ~ spl3_74 ),
inference(superposition,[],[f545,f626]) ).
fof(f6415,plain,
( ~ spl3_55
| ~ spl3_133 ),
inference(avatar_split_clause,[],[f164,f6412,f539]) ).
fof(f164,plain,
( op(e2,e1) != op(e1,op(e2,e1))
| ~ sP2 ),
inference(cnf_transformation,[],[f58]) ).
fof(f6390,plain,
( spl3_111
| spl3_1
| spl3_3
| ~ spl3_70
| ~ spl3_96
| ~ spl3_117 ),
inference(avatar_split_clause,[],[f6377,f1184,f741,f606,f279,f269,f895]) ).
fof(f6377,plain,
( e0 = e3
| e0 = e1
| e0 = op(e1,e3)
| ~ spl3_70
| ~ spl3_96
| ~ spl3_117 ),
inference(forward_demodulation,[],[f6376,f1186]) ).
fof(f6376,plain,
( e0 = e1
| e0 = op(e1,e3)
| e0 = op(e1,e0)
| ~ spl3_70
| ~ spl3_96 ),
inference(duplicate_literal_removal,[],[f1508]) ).
fof(f1508,plain,
( e0 = e1
| e0 = e1
| e0 = op(e1,e3)
| e0 = op(e1,e0)
| ~ spl3_70
| ~ spl3_96 ),
inference(forward_demodulation,[],[f1219,f743]) ).
fof(f6374,plain,
( spl3_70
| spl3_122
| spl3_4
| spl3_1
| ~ spl3_73
| ~ spl3_104 ),
inference(avatar_split_clause,[],[f2731,f799,f620,f269,f284,f1828,f606]) ).
fof(f2731,plain,
( e0 = e1
| e1 = e2
| e1 = op(e3,e2)
| e1 = op(e1,e2)
| ~ spl3_73
| ~ spl3_104 ),
inference(forward_demodulation,[],[f1022,f621]) ).
fof(f6372,plain,
( ~ spl3_91
| spl3_12
| ~ spl3_92 ),
inference(avatar_split_clause,[],[f5542,f708,f324,f704]) ).
fof(f5542,plain,
( e0 != op(e2,e0)
| spl3_12
| ~ spl3_92 ),
inference(superposition,[],[f326,f710]) ).
fof(f6368,plain,
( spl3_81
| spl3_5
| spl3_1
| ~ spl3_82
| ~ spl3_84
| ~ spl3_92 ),
inference(avatar_split_clause,[],[f6239,f708,f669,f660,f269,f289,f656]) ).
fof(f6239,plain,
( e0 = e1
| e1 = e3
| e1 = op(e3,e3)
| ~ spl3_82
| ~ spl3_84
| ~ spl3_92 ),
inference(forward_demodulation,[],[f5021,f710]) ).
fof(f5021,plain,
( e1 = e3
| e1 = op(e3,e3)
| e1 = op(e3,e0)
| ~ spl3_82
| ~ spl3_84 ),
inference(duplicate_literal_removal,[],[f5020]) ).
fof(f5020,plain,
( e1 = e3
| e1 = e3
| e1 = op(e3,e3)
| e1 = op(e3,e0)
| ~ spl3_82
| ~ spl3_84 ),
inference(forward_demodulation,[],[f4644,f671]) ).
fof(f4644,plain,
( e1 = e3
| e1 = op(e3,e3)
| e1 = op(e3,e2)
| e1 = op(e3,e0)
| ~ spl3_82 ),
inference(forward_demodulation,[],[f141,f662]) ).
fof(f6330,plain,
( spl3_6
| spl3_2
| spl3_4
| ~ spl3_81
| ~ spl3_82
| ~ spl3_84
| ~ spl3_92 ),
inference(avatar_split_clause,[],[f6317,f708,f669,f660,f656,f284,f274,f294]) ).
fof(f6317,plain,
( e1 = e2
| e0 = e2
| e2 = e3
| ~ spl3_81
| ~ spl3_82
| ~ spl3_84
| ~ spl3_92 ),
inference(forward_demodulation,[],[f6244,f657]) ).
fof(f6244,plain,
( e0 = e2
| e2 = e3
| e2 = op(e3,e3)
| ~ spl3_82
| ~ spl3_84
| ~ spl3_92 ),
inference(forward_demodulation,[],[f6243,f710]) ).
fof(f6243,plain,
( e2 = e3
| e2 = op(e3,e3)
| e2 = op(e3,e0)
| ~ spl3_82
| ~ spl3_84 ),
inference(duplicate_literal_removal,[],[f6242]) ).
fof(f6242,plain,
( e2 = e3
| e2 = e3
| e2 = op(e3,e3)
| e2 = op(e3,e0)
| ~ spl3_82
| ~ spl3_84 ),
inference(forward_demodulation,[],[f4700,f671]) ).
fof(f6314,plain,
( spl3_72
| ~ spl3_81
| ~ spl3_83
| ~ spl3_123 ),
inference(avatar_split_clause,[],[f6301,f1981,f665,f656,f615]) ).
fof(f6301,plain,
( e1 = op(e1,e3)
| ~ spl3_81
| ~ spl3_83
| ~ spl3_123 ),
inference(forward_demodulation,[],[f1983,f5026]) ).
fof(f6290,plain,
( spl3_68
| ~ spl3_81
| ~ spl3_83
| ~ spl3_113 ),
inference(avatar_split_clause,[],[f6289,f1004,f665,f656,f597]) ).
fof(f6289,plain,
( e1 = op(e1,e0)
| ~ spl3_81
| ~ spl3_83
| ~ spl3_113 ),
inference(forward_demodulation,[],[f1006,f5026]) ).
fof(f6280,plain,
( spl3_113
| spl3_69
| spl3_123
| spl3_2
| ~ spl3_110 ),
inference(avatar_split_clause,[],[f3808,f891,f274,f1981,f602,f1004]) ).
fof(f3808,plain,
( e0 = e2
| e2 = op(e1,e3)
| e2 = op(e1,e1)
| e2 = op(e1,e0)
| ~ spl3_110 ),
inference(forward_demodulation,[],[f127,f893]) ).
fof(f6278,plain,
( spl3_83
| spl3_2
| spl3_6
| ~ spl3_82
| ~ spl3_86
| ~ spl3_109
| ~ spl3_124 ),
inference(avatar_split_clause,[],[f6236,f2038,f831,f679,f660,f294,f274,f665]) ).
fof(f6236,plain,
( e2 = e3
| e0 = e2
| e2 = op(e3,e3)
| ~ spl3_82
| ~ spl3_86
| ~ spl3_109
| ~ spl3_124 ),
inference(duplicate_literal_removal,[],[f6235]) ).
fof(f6235,plain,
( e2 = e3
| e2 = e3
| e0 = e2
| e2 = op(e3,e3)
| ~ spl3_82
| ~ spl3_86
| ~ spl3_109
| ~ spl3_124 ),
inference(forward_demodulation,[],[f5508,f833]) ).
fof(f5508,plain,
( e2 = e3
| e0 = e2
| e2 = op(e3,e3)
| e2 = op(e0,e3)
| ~ spl3_82
| ~ spl3_86
| ~ spl3_124 ),
inference(forward_demodulation,[],[f2360,f5040]) ).
fof(f5040,plain,
( e3 = op(e1,e3)
| ~ spl3_82
| ~ spl3_86 ),
inference(superposition,[],[f680,f662]) ).
fof(f6230,plain,
( spl3_81
| spl3_1
| spl3_5
| ~ spl3_109
| ~ spl3_119
| ~ spl3_124 ),
inference(avatar_split_clause,[],[f6177,f2038,f1247,f831,f289,f269,f656]) ).
fof(f6177,plain,
( e1 = e3
| e0 = e1
| e1 = op(e3,e3)
| ~ spl3_109
| ~ spl3_119
| ~ spl3_124 ),
inference(duplicate_literal_removal,[],[f6176]) ).
fof(f6176,plain,
( e1 = e3
| e1 = e3
| e0 = e1
| e1 = op(e3,e3)
| ~ spl3_109
| ~ spl3_119
| ~ spl3_124 ),
inference(forward_demodulation,[],[f4386,f833]) ).
fof(f4386,plain,
( e1 = e3
| e0 = e1
| e1 = op(e3,e3)
| e1 = op(e0,e3)
| ~ spl3_119
| ~ spl3_124 ),
inference(forward_demodulation,[],[f3269,f1249]) ).
fof(f3269,plain,
( e0 = e1
| e1 = op(e3,e3)
| e1 = op(e1,e3)
| e1 = op(e0,e3)
| ~ spl3_124 ),
inference(forward_demodulation,[],[f142,f2040]) ).
fof(f6221,plain,
( ~ spl3_59
| ~ spl3_98
| ~ spl3_109 ),
inference(avatar_split_clause,[],[f3422,f831,f749,f557]) ).
fof(f3422,plain,
( e3 != op(e3,e3)
| ~ sP0
| ~ spl3_109 ),
inference(forward_demodulation,[],[f174,f833]) ).
fof(f6219,plain,
( ~ spl3_111
| spl3_28
| ~ spl3_124 ),
inference(avatar_split_clause,[],[f4359,f2038,f404,f895]) ).
fof(f404,plain,
( spl3_28
<=> op(e1,e3) = op(e2,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_28])]) ).
fof(f4359,plain,
( e0 != op(e1,e3)
| spl3_28
| ~ spl3_124 ),
inference(superposition,[],[f406,f2040]) ).
fof(f406,plain,
( op(e1,e3) != op(e2,e3)
| spl3_28 ),
inference(avatar_component_clause,[],[f404]) ).
fof(f6155,plain,
( spl3_69
| spl3_6
| spl3_2
| ~ spl3_110
| ~ spl3_111
| ~ spl3_117 ),
inference(avatar_split_clause,[],[f6126,f1184,f895,f891,f274,f294,f602]) ).
fof(f6126,plain,
( e0 = e2
| e2 = e3
| e2 = op(e1,e1)
| ~ spl3_110
| ~ spl3_111
| ~ spl3_117 ),
inference(duplicate_literal_removal,[],[f6125]) ).
fof(f6125,plain,
( e0 = e2
| e2 = e3
| e0 = e2
| e2 = op(e1,e1)
| ~ spl3_110
| ~ spl3_111
| ~ spl3_117 ),
inference(forward_demodulation,[],[f6053,f897]) ).
fof(f6053,plain,
( e2 = e3
| e0 = e2
| e2 = op(e1,e3)
| e2 = op(e1,e1)
| ~ spl3_110
| ~ spl3_117 ),
inference(forward_demodulation,[],[f3808,f1186]) ).
fof(f6153,plain,
( ~ spl3_92
| ~ spl3_111
| spl3_131 ),
inference(avatar_split_clause,[],[f6041,f6037,f895,f708]) ).
fof(f6041,plain,
( e0 != op(e3,e0)
| ~ spl3_111
| spl3_131 ),
inference(forward_demodulation,[],[f6039,f897]) ).
fof(f6131,plain,
( ~ spl3_57
| ~ spl3_96 ),
inference(avatar_split_clause,[],[f5619,f741,f548]) ).
fof(f5619,plain,
( ~ sP1
| ~ spl3_96 ),
inference(trivial_inequality_removal,[],[f4520]) ).
fof(f6121,plain,
( spl3_4
| ~ spl3_75
| ~ spl3_83
| ~ spl3_98 ),
inference(avatar_split_clause,[],[f6120,f749,f665,f629,f284]) ).
fof(f6120,plain,
( e1 = e2
| ~ spl3_75
| ~ spl3_83
| ~ spl3_98 ),
inference(forward_demodulation,[],[f6119,f630]) ).
fof(f6119,plain,
( e2 = op(e2,e2)
| ~ spl3_83
| ~ spl3_98 ),
inference(forward_demodulation,[],[f666,f3077]) ).
fof(f6111,plain,
( spl3_111
| spl3_79
| spl3_3
| ~ spl3_109
| ~ spl3_120 ),
inference(avatar_split_clause,[],[f5992,f1300,f831,f279,f647,f895]) ).
fof(f5992,plain,
( e0 = e3
| e0 = op(e3,e3)
| e0 = op(e1,e3)
| ~ spl3_109
| ~ spl3_120 ),
inference(duplicate_literal_removal,[],[f5991]) ).
fof(f5991,plain,
( e0 = e3
| e0 = e3
| e0 = op(e3,e3)
| e0 = op(e1,e3)
| ~ spl3_109
| ~ spl3_120 ),
inference(forward_demodulation,[],[f2781,f833]) ).
fof(f6109,plain,
( ~ spl3_57
| ~ spl3_132 ),
inference(avatar_split_clause,[],[f169,f6106,f548]) ).
fof(f6071,plain,
( spl3_1
| ~ spl3_61
| ~ spl3_85
| ~ spl3_92 ),
inference(avatar_split_clause,[],[f5223,f708,f674,f566,f269]) ).
fof(f5223,plain,
( e0 = e1
| ~ spl3_61
| ~ spl3_85
| ~ spl3_92 ),
inference(forward_demodulation,[],[f567,f5102]) ).
fof(f5102,plain,
( e0 = op(e0,e0)
| ~ spl3_85
| ~ spl3_92 ),
inference(forward_demodulation,[],[f675,f710]) ).
fof(f6042,plain,
( spl3_83
| spl3_2
| spl3_6
| ~ spl3_109
| ~ spl3_111
| ~ spl3_120 ),
inference(avatar_split_clause,[],[f6011,f1300,f895,f831,f294,f274,f665]) ).
fof(f6011,plain,
( e2 = e3
| e0 = e2
| e2 = op(e3,e3)
| ~ spl3_109
| ~ spl3_111
| ~ spl3_120 ),
inference(duplicate_literal_removal,[],[f6010]) ).
fof(f6010,plain,
( e2 = e3
| e2 = e3
| e0 = e2
| e2 = op(e3,e3)
| ~ spl3_109
| ~ spl3_111
| ~ spl3_120 ),
inference(forward_demodulation,[],[f6009,f833]) ).
fof(f6009,plain,
( e2 = e3
| e0 = e2
| e2 = op(e3,e3)
| e2 = op(e0,e3)
| ~ spl3_111
| ~ spl3_120 ),
inference(forward_demodulation,[],[f2159,f1302]) ).
fof(f6040,plain,
( ~ spl3_57
| ~ spl3_131 ),
inference(avatar_split_clause,[],[f170,f6037,f548]) ).
fof(f5986,plain,
( spl3_79
| spl3_2
| spl3_3
| ~ spl3_109
| ~ spl3_120
| ~ spl3_123 ),
inference(avatar_split_clause,[],[f5959,f1981,f1300,f831,f279,f274,f647]) ).
fof(f5959,plain,
( e0 = e3
| e0 = e2
| e0 = op(e3,e3)
| ~ spl3_109
| ~ spl3_120
| ~ spl3_123 ),
inference(duplicate_literal_removal,[],[f5958]) ).
fof(f5958,plain,
( e0 = e3
| e0 = e3
| e0 = e2
| e0 = op(e3,e3)
| ~ spl3_109
| ~ spl3_120
| ~ spl3_123 ),
inference(forward_demodulation,[],[f5067,f833]) ).
fof(f5067,plain,
( e0 = e3
| e0 = e2
| e0 = op(e3,e3)
| e0 = op(e0,e3)
| ~ spl3_120
| ~ spl3_123 ),
inference(forward_demodulation,[],[f3033,f1302]) ).
fof(f5939,plain,
( spl3_81
| spl3_1
| spl3_4
| spl3_5
| ~ spl3_109
| ~ spl3_123
| ~ spl3_124 ),
inference(avatar_split_clause,[],[f5894,f2038,f1981,f831,f289,f284,f269,f656]) ).
fof(f5894,plain,
( e1 = e3
| e1 = e2
| e0 = e1
| e1 = op(e3,e3)
| ~ spl3_109
| ~ spl3_123
| ~ spl3_124 ),
inference(forward_demodulation,[],[f2390,f833]) ).
fof(f2390,plain,
( e1 = e2
| e0 = e1
| e1 = op(e3,e3)
| e1 = op(e0,e3)
| ~ spl3_123
| ~ spl3_124 ),
inference(forward_demodulation,[],[f2389,f1983]) ).
fof(f2389,plain,
( e0 = e1
| e1 = op(e3,e3)
| e1 = op(e1,e3)
| e1 = op(e0,e3)
| ~ spl3_124 ),
inference(forward_demodulation,[],[f142,f2040]) ).
fof(f5937,plain,
( ~ spl3_82
| spl3_53
| ~ spl3_98 ),
inference(avatar_split_clause,[],[f3704,f749,f529,f660]) ).
fof(f3704,plain,
( e3 != op(e3,e1)
| spl3_53
| ~ spl3_98 ),
inference(superposition,[],[f531,f751]) ).
fof(f5936,plain,
( ~ spl3_57
| ~ spl3_130 ),
inference(avatar_split_clause,[],[f168,f5933,f548]) ).
fof(f5891,plain,
( ~ spl3_109
| spl3_56
| ~ spl3_118 ),
inference(avatar_split_clause,[],[f5568,f1188,f543,f831]) ).
fof(f5568,plain,
( e3 != op(e0,e3)
| spl3_56
| ~ spl3_118 ),
inference(superposition,[],[f545,f1190]) ).
fof(f5889,plain,
( ~ spl3_110
| spl3_23
| ~ spl3_116 ),
inference(avatar_split_clause,[],[f5560,f1173,f379,f891]) ).
fof(f5560,plain,
( e0 != op(e1,e2)
| spl3_23
| ~ spl3_116 ),
inference(superposition,[],[f381,f1175]) ).
fof(f5887,plain,
( ~ spl3_117
| spl3_38
| ~ spl3_106 ),
inference(avatar_split_clause,[],[f5116,f816,f454,f1184]) ).
fof(f5116,plain,
( e3 != op(e1,e0)
| spl3_38
| ~ spl3_106 ),
inference(superposition,[],[f456,f817]) ).
fof(f5885,plain,
( ~ spl3_108
| spl3_19
| ~ spl3_106 ),
inference(avatar_split_clause,[],[f5115,f816,f359,f827]) ).
fof(f359,plain,
( spl3_19
<=> op(e0,e2) = op(e1,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_19])]) ).
fof(f5115,plain,
( e3 != op(e0,e2)
| spl3_19
| ~ spl3_106 ),
inference(superposition,[],[f361,f817]) ).
fof(f361,plain,
( op(e0,e2) != op(e1,e2)
| spl3_19 ),
inference(avatar_component_clause,[],[f359]) ).
fof(f5883,plain,
( ~ spl3_92
| spl3_50
| ~ spl3_116 ),
inference(avatar_split_clause,[],[f4707,f1173,f514,f708]) ).
fof(f514,plain,
( spl3_50
<=> op(e3,e0) = op(e3,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_50])]) ).
fof(f4707,plain,
( e0 != op(e3,e0)
| spl3_50
| ~ spl3_116 ),
inference(superposition,[],[f516,f1175]) ).
fof(f516,plain,
( op(e3,e0) != op(e3,e2)
| spl3_50 ),
inference(avatar_component_clause,[],[f514]) ).
fof(f5880,plain,
( ~ spl3_104
| spl3_85
| ~ spl3_112 ),
inference(avatar_split_clause,[],[f4478,f992,f674,f799]) ).
fof(f4478,plain,
( e2 != op(e0,e2)
| spl3_85
| ~ spl3_112 ),
inference(superposition,[],[f676,f994]) ).
fof(f676,plain,
( op(e3,e0) != op(e0,op(e3,e0))
| spl3_85 ),
inference(avatar_component_clause,[],[f674]) ).
fof(f5878,plain,
( ~ spl3_91
| spl3_45
| ~ spl3_124 ),
inference(avatar_split_clause,[],[f4360,f2038,f489,f704]) ).
fof(f4360,plain,
( e0 != op(e2,e0)
| spl3_45
| ~ spl3_124 ),
inference(superposition,[],[f491,f2040]) ).
fof(f5876,plain,
( ~ spl3_111
| spl3_28
| ~ spl3_124 ),
inference(avatar_split_clause,[],[f4359,f2038,f404,f895]) ).
fof(f5832,plain,
( spl3_4
| ~ spl3_61
| ~ spl3_91
| ~ spl3_112
| ~ spl3_118 ),
inference(avatar_split_clause,[],[f5810,f1188,f992,f704,f566,f284]) ).
fof(f5810,plain,
( e1 = e2
| ~ spl3_61
| ~ spl3_91
| ~ spl3_112
| ~ spl3_118 ),
inference(forward_demodulation,[],[f5769,f567]) ).
fof(f5769,plain,
( op(e0,e0) = e2
| ~ spl3_91
| ~ spl3_112
| ~ spl3_118 ),
inference(forward_demodulation,[],[f994,f5683]) ).
fof(f5772,plain,
( spl3_2
| ~ spl3_61
| ~ spl3_62
| ~ spl3_81
| ~ spl3_82
| ~ spl3_88
| ~ spl3_91
| ~ spl3_116
| ~ spl3_118 ),
inference(avatar_split_clause,[],[f5716,f1188,f1173,f704,f689,f660,f656,f570,f566,f274]) ).
fof(f5716,plain,
( e0 = e2
| ~ spl3_61
| ~ spl3_62
| ~ spl3_81
| ~ spl3_82
| ~ spl3_88
| ~ spl3_91
| ~ spl3_116
| ~ spl3_118 ),
inference(duplicate_literal_removal,[],[f5715]) ).
fof(f5715,plain,
( e0 = e2
| e0 = e2
| ~ spl3_61
| ~ spl3_62
| ~ spl3_81
| ~ spl3_82
| ~ spl3_88
| ~ spl3_91
| ~ spl3_116
| ~ spl3_118 ),
inference(forward_demodulation,[],[f5714,f5698]) ).
fof(f5698,plain,
( e0 = e1
| ~ spl3_62
| ~ spl3_81
| ~ spl3_88
| ~ spl3_91
| ~ spl3_118 ),
inference(forward_demodulation,[],[f5697,f572]) ).
fof(f5697,plain,
( e1 = op(e0,e1)
| ~ spl3_81
| ~ spl3_88
| ~ spl3_91
| ~ spl3_118 ),
inference(forward_demodulation,[],[f5696,f5683]) ).
fof(f5714,plain,
( e1 = e2
| e0 = e2
| ~ spl3_61
| ~ spl3_62
| ~ spl3_81
| ~ spl3_82
| ~ spl3_88
| ~ spl3_91
| ~ spl3_116
| ~ spl3_118 ),
inference(forward_demodulation,[],[f5713,f567]) ).
fof(f5713,plain,
( op(e0,e0) = e2
| e0 = e2
| ~ spl3_62
| ~ spl3_81
| ~ spl3_82
| ~ spl3_88
| ~ spl3_91
| ~ spl3_116
| ~ spl3_118 ),
inference(forward_demodulation,[],[f5712,f5683]) ).
fof(f5712,plain,
( e0 = e2
| e2 = op(e3,e0)
| ~ spl3_62
| ~ spl3_81
| ~ spl3_82
| ~ spl3_88
| ~ spl3_91
| ~ spl3_116
| ~ spl3_118 ),
inference(duplicate_literal_removal,[],[f5711]) ).
fof(f5711,plain,
( e0 = e2
| e0 = e2
| e2 = op(e3,e0)
| ~ spl3_62
| ~ spl3_81
| ~ spl3_82
| ~ spl3_88
| ~ spl3_91
| ~ spl3_116
| ~ spl3_118 ),
inference(forward_demodulation,[],[f5710,f5698]) ).
fof(f5710,plain,
( e1 = e2
| e0 = e2
| e2 = op(e3,e0)
| ~ spl3_81
| ~ spl3_82
| ~ spl3_91
| ~ spl3_116
| ~ spl3_118 ),
inference(forward_demodulation,[],[f5709,f657]) ).
fof(f5709,plain,
( e0 = e2
| e2 = op(e3,e3)
| e2 = op(e3,e0)
| ~ spl3_82
| ~ spl3_91
| ~ spl3_116
| ~ spl3_118 ),
inference(duplicate_literal_removal,[],[f5708]) ).
fof(f5708,plain,
( e0 = e2
| e0 = e2
| e2 = op(e3,e3)
| e2 = op(e3,e0)
| ~ spl3_82
| ~ spl3_91
| ~ spl3_116
| ~ spl3_118 ),
inference(forward_demodulation,[],[f5270,f5683]) ).
fof(f5270,plain,
( e0 = e2
| e2 = e3
| e2 = op(e3,e3)
| e2 = op(e3,e0)
| ~ spl3_82
| ~ spl3_116 ),
inference(forward_demodulation,[],[f4700,f1175]) ).
fof(f5699,plain,
( spl3_83
| spl3_2
| spl3_6
| ~ spl3_109
| ~ spl3_111
| ~ spl3_124 ),
inference(avatar_split_clause,[],[f5594,f2038,f895,f831,f294,f274,f665]) ).
fof(f5594,plain,
( e2 = e3
| e0 = e2
| e2 = op(e3,e3)
| ~ spl3_109
| ~ spl3_111
| ~ spl3_124 ),
inference(forward_demodulation,[],[f5593,f833]) ).
fof(f5593,plain,
( e0 = e2
| e2 = op(e3,e3)
| e2 = op(e0,e3)
| ~ spl3_111
| ~ spl3_124 ),
inference(duplicate_literal_removal,[],[f5592]) ).
fof(f5592,plain,
( e0 = e2
| e0 = e2
| e2 = op(e3,e3)
| e2 = op(e0,e3)
| ~ spl3_111
| ~ spl3_124 ),
inference(forward_demodulation,[],[f2360,f897]) ).
fof(f5655,plain,
( spl3_3
| ~ spl3_82
| ~ spl3_86
| ~ spl3_111 ),
inference(avatar_split_clause,[],[f5632,f895,f679,f660,f279]) ).
fof(f5632,plain,
( e0 = e3
| ~ spl3_82
| ~ spl3_86
| ~ spl3_111 ),
inference(forward_demodulation,[],[f5040,f897]) ).
fof(f5617,plain,
( spl3_81
| spl3_5
| spl3_1
| ~ spl3_109
| ~ spl3_111
| ~ spl3_124 ),
inference(avatar_split_clause,[],[f5586,f2038,f895,f831,f269,f289,f656]) ).
fof(f5586,plain,
( e0 = e1
| e1 = e3
| e1 = op(e3,e3)
| ~ spl3_109
| ~ spl3_111
| ~ spl3_124 ),
inference(duplicate_literal_removal,[],[f5585]) ).
fof(f5585,plain,
( e0 = e1
| e1 = e3
| e0 = e1
| e1 = op(e3,e3)
| ~ spl3_109
| ~ spl3_111
| ~ spl3_124 ),
inference(forward_demodulation,[],[f3268,f897]) ).
fof(f3268,plain,
( e1 = e3
| e0 = e1
| e1 = op(e3,e3)
| e1 = op(e1,e3)
| ~ spl3_109
| ~ spl3_124 ),
inference(forward_demodulation,[],[f2389,f833]) ).
fof(f5582,plain,
( spl3_83
| spl3_6
| spl3_2
| ~ spl3_82
| ~ spl3_92
| ~ spl3_116 ),
inference(avatar_split_clause,[],[f5264,f1173,f708,f660,f274,f294,f665]) ).
fof(f5264,plain,
( e0 = e2
| e2 = e3
| e2 = op(e3,e3)
| ~ spl3_82
| ~ spl3_92
| ~ spl3_116 ),
inference(duplicate_literal_removal,[],[f5263]) ).
fof(f5263,plain,
( e0 = e2
| e2 = e3
| e0 = e2
| e2 = op(e3,e3)
| ~ spl3_82
| ~ spl3_92
| ~ spl3_116 ),
inference(forward_demodulation,[],[f5262,f710]) ).
fof(f5262,plain,
( e2 = e3
| e0 = e2
| e2 = op(e3,e3)
| e2 = op(e3,e0)
| ~ spl3_82
| ~ spl3_116 ),
inference(forward_demodulation,[],[f4347,f662]) ).
fof(f4347,plain,
( e0 = e2
| e2 = op(e3,e3)
| e2 = op(e3,e1)
| e2 = op(e3,e0)
| ~ spl3_116 ),
inference(forward_demodulation,[],[f143,f1175]) ).
fof(f5497,plain,
( spl3_6
| spl3_5
| spl3_3
| ~ spl3_76
| ~ spl3_91
| ~ spl3_97
| ~ spl3_125 ),
inference(avatar_split_clause,[],[f5454,f2759,f745,f704,f633,f279,f289,f294]) ).
fof(f5454,plain,
( e0 = e3
| e1 = e3
| e2 = e3
| ~ spl3_76
| ~ spl3_91
| ~ spl3_97
| ~ spl3_125 ),
inference(forward_demodulation,[],[f5453,f706]) ).
fof(f5453,plain,
( e1 = e3
| e2 = e3
| e3 = op(e2,e0)
| ~ spl3_76
| ~ spl3_97
| ~ spl3_125 ),
inference(forward_demodulation,[],[f5139,f2760]) ).
fof(f5139,plain,
( e2 = e3
| e3 = op(e2,e3)
| e3 = op(e2,e0)
| ~ spl3_76
| ~ spl3_97 ),
inference(duplicate_literal_removal,[],[f2497]) ).
fof(f2497,plain,
( e2 = e3
| e2 = e3
| e3 = op(e2,e3)
| e3 = op(e2,e0)
| ~ spl3_76
| ~ spl3_97 ),
inference(forward_demodulation,[],[f1667,f747]) ).
fof(f1667,plain,
( e2 = e3
| e3 = op(e2,e3)
| e3 = op(e2,e2)
| e3 = op(e2,e0)
| ~ spl3_76 ),
inference(forward_demodulation,[],[f137,f635]) ).
fof(f635,plain,
( e2 = op(e2,e1)
| ~ spl3_76 ),
inference(avatar_component_clause,[],[f633]) ).
fof(f5430,plain,
( ~ spl3_76
| spl3_47
| ~ spl3_78 ),
inference(avatar_split_clause,[],[f2622,f642,f499,f633]) ).
fof(f2622,plain,
( e2 != op(e2,e1)
| spl3_47
| ~ spl3_78 ),
inference(superposition,[],[f501,f644]) ).
fof(f5417,plain,
( spl3_122
| spl3_5
| ~ spl3_77
| ~ spl3_106
| ~ spl3_108 ),
inference(avatar_split_clause,[],[f5406,f827,f816,f638,f289,f1828]) ).
fof(f5406,plain,
( e1 = e3
| e1 = op(e3,e2)
| ~ spl3_77
| ~ spl3_106
| ~ spl3_108 ),
inference(duplicate_literal_removal,[],[f5405]) ).
fof(f5405,plain,
( e1 = e3
| e1 = e3
| e1 = op(e3,e2)
| ~ spl3_77
| ~ spl3_106
| ~ spl3_108 ),
inference(forward_demodulation,[],[f5247,f829]) ).
fof(f5247,plain,
( e1 = e3
| e1 = op(e3,e2)
| e1 = op(e0,e2)
| ~ spl3_77
| ~ spl3_106 ),
inference(duplicate_literal_removal,[],[f3156]) ).
fof(f3156,plain,
( e1 = e3
| e1 = e3
| e1 = op(e3,e2)
| e1 = op(e0,e2)
| ~ spl3_77
| ~ spl3_106 ),
inference(forward_demodulation,[],[f1743,f639]) ).
fof(f5404,plain,
( spl3_97
| spl3_6
| spl3_2
| ~ spl3_106
| ~ spl3_108
| ~ spl3_116 ),
inference(avatar_split_clause,[],[f4345,f1173,f827,f816,f274,f294,f745]) ).
fof(f4345,plain,
( e0 = e2
| e2 = e3
| e2 = op(e2,e2)
| ~ spl3_106
| ~ spl3_108
| ~ spl3_116 ),
inference(forward_demodulation,[],[f2232,f1175]) ).
fof(f2232,plain,
( e2 = e3
| e2 = op(e3,e2)
| e2 = op(e2,e2)
| ~ spl3_106
| ~ spl3_108 ),
inference(duplicate_literal_removal,[],[f2231]) ).
fof(f2231,plain,
( e2 = e3
| e2 = e3
| e2 = op(e3,e2)
| e2 = op(e2,e2)
| ~ spl3_106
| ~ spl3_108 ),
inference(forward_demodulation,[],[f2230,f829]) ).
fof(f5402,plain,
( ~ spl3_55
| ~ spl3_129 ),
inference(avatar_split_clause,[],[f166,f5399,f539]) ).
fof(f5396,plain,
( ~ spl3_55
| ~ spl3_128 ),
inference(avatar_split_clause,[],[f165,f5393,f539]) ).
fof(f165,plain,
( op(e2,e2) != op(e2,op(e2,e2))
| ~ sP2 ),
inference(cnf_transformation,[],[f58]) ).
fof(f5391,plain,
( ~ spl3_67
| spl3_41
| ~ spl3_111 ),
inference(avatar_split_clause,[],[f2139,f895,f469,f593]) ).
fof(f2139,plain,
( e0 != op(e1,e1)
| spl3_41
| ~ spl3_111 ),
inference(superposition,[],[f471,f897]) ).
fof(f5385,plain,
( spl3_3
| spl3_6
| spl3_5
| ~ spl3_61
| ~ spl3_91
| ~ spl3_92
| ~ spl3_113 ),
inference(avatar_split_clause,[],[f5276,f1004,f708,f704,f566,f289,f294,f279]) ).
fof(f5276,plain,
( e1 = e3
| e2 = e3
| e0 = e3
| ~ spl3_61
| ~ spl3_91
| ~ spl3_92
| ~ spl3_113 ),
inference(forward_demodulation,[],[f5275,f567]) ).
fof(f5275,plain,
( e2 = e3
| e0 = e3
| op(e0,e0) = e3
| ~ spl3_91
| ~ spl3_92
| ~ spl3_113 ),
inference(forward_demodulation,[],[f5274,f1006]) ).
fof(f5274,plain,
( e0 = e3
| e3 = op(e1,e0)
| op(e0,e0) = e3
| ~ spl3_91
| ~ spl3_92 ),
inference(duplicate_literal_removal,[],[f5273]) ).
fof(f5273,plain,
( e0 = e3
| e0 = e3
| e3 = op(e1,e0)
| op(e0,e0) = e3
| ~ spl3_91
| ~ spl3_92 ),
inference(forward_demodulation,[],[f5148,f706]) ).
fof(f5148,plain,
( e0 = e3
| e3 = op(e2,e0)
| e3 = op(e1,e0)
| op(e0,e0) = e3
| ~ spl3_92 ),
inference(forward_demodulation,[],[f122,f710]) ).
fof(f5245,plain,
( spl3_4
| ~ spl3_61
| ~ spl3_63 ),
inference(avatar_split_clause,[],[f5233,f575,f566,f284]) ).
fof(f5233,plain,
( e1 = e2
| ~ spl3_61
| ~ spl3_63 ),
inference(forward_demodulation,[],[f576,f567]) ).
fof(f5224,plain,
( spl3_2
| ~ spl3_63
| ~ spl3_85
| ~ spl3_92 ),
inference(avatar_split_clause,[],[f5222,f708,f674,f575,f274]) ).
fof(f5222,plain,
( e0 = e2
| ~ spl3_63
| ~ spl3_85
| ~ spl3_92 ),
inference(forward_demodulation,[],[f576,f5102]) ).
fof(f5136,plain,
( ~ spl3_123
| ~ spl3_65
| ~ spl3_67 ),
inference(avatar_split_clause,[],[f5047,f593,f584,f1981]) ).
fof(f5047,plain,
( e2 != op(e1,e3)
| ~ spl3_65
| ~ spl3_67 ),
inference(trivial_inequality_removal,[],[f842]) ).
fof(f842,plain,
( e3 != e3
| e2 != op(e1,e3)
| ~ spl3_65
| ~ spl3_67 ),
inference(forward_demodulation,[],[f836,f585]) ).
fof(f836,plain,
( e2 != op(e1,e3)
| op(e0,e0) != e3
| ~ spl3_67 ),
inference(trivial_inequality_removal,[],[f835]) ).
fof(f835,plain,
( e0 != e0
| e2 != op(e1,e3)
| op(e0,e0) != e3
| ~ spl3_67 ),
inference(forward_demodulation,[],[f251,f594]) ).
fof(f251,plain,
( e2 != op(e1,e3)
| e0 != op(e1,e1)
| op(e0,e0) != e3 ),
inference(inner_rewriting,[],[f250]) ).
fof(f250,plain,
( e2 != op(e1,op(e0,e0))
| e0 != op(e1,e1)
| op(e0,e0) != e3 ),
inference(inner_rewriting,[],[f211]) ).
fof(f211,plain,
( e2 != op(e1,op(op(e1,e1),op(e1,e1)))
| e0 != op(e1,e1)
| e3 != op(op(e1,e1),op(e1,e1)) ),
inference(cnf_transformation,[],[f45]) ).
fof(f45,plain,
( e2 != op(e1,op(op(e1,e1),op(e1,e1)))
| e0 != op(e1,e1)
| e3 != op(op(e1,e1),op(e1,e1)) ),
inference(ennf_transformation,[],[f25]) ).
fof(f25,axiom,
~ ( e2 = op(e1,op(op(e1,e1),op(e1,e1)))
& e0 = op(e1,e1)
& e3 = op(op(e1,e1),op(e1,e1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax25) ).
fof(f5090,plain,
( spl3_3
| ~ spl3_80
| ~ spl3_92 ),
inference(avatar_split_clause,[],[f1708,f708,f651,f279]) ).
fof(f1708,plain,
( e0 = e3
| ~ spl3_80
| ~ spl3_92 ),
inference(superposition,[],[f710,f653]) ).
fof(f5046,plain,
( spl3_79
| spl3_3
| ~ spl3_109
| ~ spl3_119
| ~ spl3_120 ),
inference(avatar_split_clause,[],[f5004,f1300,f1247,f831,f279,f647]) ).
fof(f5004,plain,
( e0 = e3
| e0 = op(e3,e3)
| ~ spl3_109
| ~ spl3_119
| ~ spl3_120 ),
inference(duplicate_literal_removal,[],[f5003]) ).
fof(f5003,plain,
( e0 = e3
| e0 = e3
| e0 = op(e3,e3)
| ~ spl3_109
| ~ spl3_119
| ~ spl3_120 ),
inference(forward_demodulation,[],[f5002,f833]) ).
fof(f5002,plain,
( e0 = e3
| e0 = op(e3,e3)
| e0 = op(e0,e3)
| ~ spl3_119
| ~ spl3_120 ),
inference(duplicate_literal_removal,[],[f5001]) ).
fof(f5001,plain,
( e0 = e3
| e0 = e3
| e0 = op(e3,e3)
| e0 = op(e0,e3)
| ~ spl3_119
| ~ spl3_120 ),
inference(forward_demodulation,[],[f5000,f1249]) ).
fof(f5000,plain,
( e0 = e3
| e0 = op(e3,e3)
| e0 = op(e1,e3)
| e0 = op(e0,e3)
| ~ spl3_120 ),
inference(forward_demodulation,[],[f140,f1302]) ).
fof(f5017,plain,
( spl3_81
| spl3_5
| ~ spl3_109
| ~ spl3_119
| ~ spl3_120 ),
inference(avatar_split_clause,[],[f4999,f1300,f1247,f831,f289,f656]) ).
fof(f4999,plain,
( e1 = e3
| e1 = op(e3,e3)
| ~ spl3_109
| ~ spl3_119
| ~ spl3_120 ),
inference(duplicate_literal_removal,[],[f4998]) ).
fof(f4998,plain,
( e1 = e3
| e1 = e3
| e1 = op(e3,e3)
| ~ spl3_109
| ~ spl3_119
| ~ spl3_120 ),
inference(forward_demodulation,[],[f4997,f833]) ).
fof(f4997,plain,
( e1 = e3
| e1 = op(e3,e3)
| e1 = op(e0,e3)
| ~ spl3_119
| ~ spl3_120 ),
inference(duplicate_literal_removal,[],[f4996]) ).
fof(f4996,plain,
( e1 = e3
| e1 = e3
| e1 = op(e3,e3)
| e1 = op(e0,e3)
| ~ spl3_119
| ~ spl3_120 ),
inference(forward_demodulation,[],[f4995,f1249]) ).
fof(f5007,plain,
( spl3_83
| spl3_6
| ~ spl3_109
| ~ spl3_119
| ~ spl3_120 ),
inference(avatar_split_clause,[],[f4994,f1300,f1247,f831,f294,f665]) ).
fof(f4994,plain,
( e2 = e3
| e2 = op(e3,e3)
| ~ spl3_109
| ~ spl3_119
| ~ spl3_120 ),
inference(duplicate_literal_removal,[],[f4993]) ).
fof(f4993,plain,
( e2 = e3
| e2 = e3
| e2 = op(e3,e3)
| ~ spl3_109
| ~ spl3_119
| ~ spl3_120 ),
inference(forward_demodulation,[],[f4992,f833]) ).
fof(f4992,plain,
( e2 = e3
| e2 = op(e3,e3)
| e2 = op(e0,e3)
| ~ spl3_119
| ~ spl3_120 ),
inference(duplicate_literal_removal,[],[f4991]) ).
fof(f4991,plain,
( e2 = e3
| e2 = e3
| e2 = op(e3,e3)
| e2 = op(e0,e3)
| ~ spl3_119
| ~ spl3_120 ),
inference(forward_demodulation,[],[f4990,f1249]) ).
fof(f5005,plain,
( ~ spl3_108
| spl3_36
| ~ spl3_109 ),
inference(avatar_split_clause,[],[f2792,f831,f444,f827]) ).
fof(f444,plain,
( spl3_36
<=> op(e0,e2) = op(e0,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_36])]) ).
fof(f2792,plain,
( e3 != op(e0,e2)
| spl3_36
| ~ spl3_109 ),
inference(superposition,[],[f446,f833]) ).
fof(f446,plain,
( op(e0,e2) != op(e0,e3)
| spl3_36 ),
inference(avatar_component_clause,[],[f444]) ).
fof(f4980,plain,
( spl3_95
| spl3_5
| spl3_1
| ~ spl3_79
| ~ spl3_119
| ~ spl3_120 ),
inference(avatar_split_clause,[],[f4906,f1300,f1247,f647,f269,f289,f725]) ).
fof(f4906,plain,
( e0 = e1
| e1 = e3
| e1 = op(e0,e3)
| ~ spl3_79
| ~ spl3_119
| ~ spl3_120 ),
inference(forward_demodulation,[],[f4794,f648]) ).
fof(f4794,plain,
( e1 = e3
| e1 = op(e3,e3)
| e1 = op(e0,e3)
| ~ spl3_119
| ~ spl3_120 ),
inference(duplicate_literal_removal,[],[f4793]) ).
fof(f4793,plain,
( e1 = e3
| e1 = e3
| e1 = op(e3,e3)
| e1 = op(e0,e3)
| ~ spl3_119
| ~ spl3_120 ),
inference(forward_demodulation,[],[f3553,f1302]) ).
fof(f3553,plain,
( e1 = e3
| e1 = op(e3,e3)
| e1 = op(e2,e3)
| e1 = op(e0,e3)
| ~ spl3_119 ),
inference(forward_demodulation,[],[f142,f1249]) ).
fof(f4975,plain,
( spl3_122
| spl3_1
| spl3_5
| ~ spl3_79
| ~ spl3_80
| ~ spl3_82 ),
inference(avatar_split_clause,[],[f4900,f660,f651,f647,f289,f269,f1828]) ).
fof(f4900,plain,
( e1 = e3
| e0 = e1
| e1 = op(e3,e2)
| ~ spl3_79
| ~ spl3_80
| ~ spl3_82 ),
inference(duplicate_literal_removal,[],[f4899]) ).
fof(f4899,plain,
( e1 = e3
| e0 = e1
| e1 = e3
| e1 = op(e3,e2)
| ~ spl3_79
| ~ spl3_80
| ~ spl3_82 ),
inference(forward_demodulation,[],[f4898,f653]) ).
fof(f4898,plain,
( e0 = e1
| e1 = e3
| e1 = op(e3,e2)
| e1 = op(e3,e0)
| ~ spl3_79
| ~ spl3_82 ),
inference(forward_demodulation,[],[f4644,f648]) ).
fof(f4904,plain,
( spl3_1
| ~ spl3_79
| ~ spl3_81 ),
inference(avatar_split_clause,[],[f4903,f656,f647,f269]) ).
fof(f4903,plain,
( e0 = e1
| ~ spl3_79
| ~ spl3_81 ),
inference(forward_demodulation,[],[f657,f648]) ).
fof(f4896,plain,
( spl3_81
| spl3_4
| spl3_5
| ~ spl3_105
| ~ spl3_119
| ~ spl3_120 ),
inference(avatar_split_clause,[],[f4792,f1300,f1247,f803,f289,f284,f656]) ).
fof(f4792,plain,
( e1 = e3
| e1 = e2
| e1 = op(e3,e3)
| ~ spl3_105
| ~ spl3_119
| ~ spl3_120 ),
inference(duplicate_literal_removal,[],[f4791]) ).
fof(f4791,plain,
( e1 = e3
| e1 = e2
| e1 = e3
| e1 = op(e3,e3)
| ~ spl3_105
| ~ spl3_119
| ~ spl3_120 ),
inference(forward_demodulation,[],[f3799,f1302]) ).
fof(f3799,plain,
( e1 = e2
| e1 = e3
| e1 = op(e3,e3)
| e1 = op(e2,e3)
| ~ spl3_105
| ~ spl3_119 ),
inference(forward_demodulation,[],[f3553,f805]) ).
fof(f4821,plain,
( ~ spl3_55
| ~ spl3_98
| ~ spl3_120 ),
inference(avatar_split_clause,[],[f4820,f1300,f749,f539]) ).
fof(f4820,plain,
( ~ sP2
| ~ spl3_98
| ~ spl3_120 ),
inference(trivial_inequality_removal,[],[f4819]) ).
fof(f4819,plain,
( e3 != e3
| ~ sP2
| ~ spl3_98
| ~ spl3_120 ),
inference(forward_demodulation,[],[f4818,f751]) ).
fof(f4818,plain,
( e3 != op(e3,e3)
| ~ sP2
| ~ spl3_120 ),
inference(forward_demodulation,[],[f166,f1302]) ).
fof(f4817,plain,
( ~ spl3_57
| ~ spl3_98
| ~ spl3_119 ),
inference(avatar_split_clause,[],[f4786,f1247,f749,f548]) ).
fof(f4786,plain,
( ~ sP1
| ~ spl3_98
| ~ spl3_119 ),
inference(trivial_inequality_removal,[],[f4785]) ).
fof(f4738,plain,
( spl3_118
| spl3_5
| spl3_6
| ~ spl3_75
| ~ spl3_76
| ~ spl3_78 ),
inference(avatar_split_clause,[],[f4199,f642,f633,f629,f294,f289,f1188]) ).
fof(f4199,plain,
( e2 = e3
| e1 = e3
| e3 = op(e2,e0)
| ~ spl3_75
| ~ spl3_76
| ~ spl3_78 ),
inference(duplicate_literal_removal,[],[f4198]) ).
fof(f4198,plain,
( e2 = e3
| e1 = e3
| e2 = e3
| e3 = op(e2,e0)
| ~ spl3_75
| ~ spl3_76
| ~ spl3_78 ),
inference(forward_demodulation,[],[f2116,f644]) ).
fof(f2116,plain,
( e1 = e3
| e2 = e3
| e3 = op(e2,e3)
| e3 = op(e2,e0)
| ~ spl3_75
| ~ spl3_76 ),
inference(forward_demodulation,[],[f1667,f630]) ).
fof(f4713,plain,
( spl3_79
| spl3_1
| spl3_3
| spl3_2
| ~ spl3_72
| ~ spl3_105
| ~ spl3_120 ),
inference(avatar_split_clause,[],[f4630,f1300,f803,f615,f274,f279,f269,f647]) ).
fof(f4630,plain,
( e0 = e2
| e0 = e3
| e0 = e1
| e0 = op(e3,e3)
| ~ spl3_72
| ~ spl3_105
| ~ spl3_120 ),
inference(forward_demodulation,[],[f4629,f805]) ).
fof(f4701,plain,
( spl3_116
| spl3_1
| spl3_3
| spl3_2
| ~ spl3_75
| ~ spl3_108
| ~ spl3_126 ),
inference(avatar_split_clause,[],[f4593,f3399,f827,f629,f274,f279,f269,f1173]) ).
fof(f4593,plain,
( e0 = e2
| e0 = e3
| e0 = e1
| e0 = op(e3,e2)
| ~ spl3_75
| ~ spl3_108
| ~ spl3_126 ),
inference(forward_demodulation,[],[f3844,f3401]) ).
fof(f3844,plain,
( e0 = e3
| e0 = e1
| e0 = op(e3,e2)
| e0 = op(e1,e2)
| ~ spl3_75
| ~ spl3_108 ),
inference(forward_demodulation,[],[f3551,f829]) ).
fof(f3551,plain,
( e0 = e1
| e0 = op(e3,e2)
| e0 = op(e1,e2)
| e0 = op(e0,e2)
| ~ spl3_75 ),
inference(forward_demodulation,[],[f132,f630]) ).
fof(f4699,plain,
( spl3_118
| spl3_3
| spl3_5
| spl3_6
| ~ spl3_61
| ~ spl3_90
| ~ spl3_112 ),
inference(avatar_split_clause,[],[f4589,f992,f700,f566,f294,f289,f279,f1188]) ).
fof(f4589,plain,
( e2 = e3
| e1 = e3
| e0 = e3
| e3 = op(e2,e0)
| ~ spl3_61
| ~ spl3_90
| ~ spl3_112 ),
inference(forward_demodulation,[],[f4411,f994]) ).
fof(f4411,plain,
( e1 = e3
| e0 = e3
| e3 = op(e3,e0)
| e3 = op(e2,e0)
| ~ spl3_61
| ~ spl3_90 ),
inference(forward_demodulation,[],[f2215,f567]) ).
fof(f2215,plain,
( e0 = e3
| e3 = op(e3,e0)
| e3 = op(e2,e0)
| op(e0,e0) = e3
| ~ spl3_90 ),
inference(forward_demodulation,[],[f122,f702]) ).
fof(f4693,plain,
( ~ spl3_98
| spl3_88
| ~ spl3_98 ),
inference(avatar_split_clause,[],[f1397,f749,f689,f749]) ).
fof(f1397,plain,
( e3 != op(e3,e3)
| spl3_88
| ~ spl3_98 ),
inference(superposition,[],[f691,f751]) ).
fof(f691,plain,
( op(e3,e3) != op(e3,op(e3,e3))
| spl3_88 ),
inference(avatar_component_clause,[],[f689]) ).
fof(f4643,plain,
( spl3_5
| ~ spl3_71
| ~ spl3_96 ),
inference(avatar_split_clause,[],[f1486,f741,f611,f289]) ).
fof(f1486,plain,
( e1 = e3
| ~ spl3_71
| ~ spl3_96 ),
inference(superposition,[],[f743,f612]) ).
fof(f4642,plain,
( ~ spl3_57
| ~ spl3_96 ),
inference(avatar_split_clause,[],[f4521,f741,f548]) ).
fof(f4521,plain,
( ~ sP1
| ~ spl3_96 ),
inference(trivial_inequality_removal,[],[f4520]) ).
fof(f4581,plain,
( spl3_1
| ~ spl3_124
| ~ spl3_125 ),
inference(avatar_split_clause,[],[f4565,f2759,f2038,f269]) ).
fof(f4565,plain,
( e0 = e1
| ~ spl3_124
| ~ spl3_125 ),
inference(forward_demodulation,[],[f2760,f2040]) ).
fof(f4580,plain,
( ~ spl3_55
| ~ spl3_76
| ~ spl3_126 ),
inference(avatar_split_clause,[],[f4551,f3399,f633,f539]) ).
fof(f4551,plain,
( ~ sP2
| ~ spl3_76
| ~ spl3_126 ),
inference(trivial_inequality_removal,[],[f4511]) ).
fof(f4511,plain,
( e2 != e2
| ~ sP2
| ~ spl3_76
| ~ spl3_126 ),
inference(forward_demodulation,[],[f4510,f3401]) ).
fof(f4510,plain,
( e2 != op(e1,e2)
| ~ sP2
| ~ spl3_76 ),
inference(forward_demodulation,[],[f164,f635]) ).
fof(f4542,plain,
( spl3_79
| spl3_3
| spl3_2
| ~ spl3_82
| ~ spl3_112
| ~ spl3_121 ),
inference(avatar_split_clause,[],[f4531,f1800,f992,f660,f274,f279,f647]) ).
fof(f4531,plain,
( e0 = e2
| e0 = e3
| e0 = op(e3,e3)
| ~ spl3_82
| ~ spl3_112
| ~ spl3_121 ),
inference(duplicate_literal_removal,[],[f4530]) ).
fof(f4530,plain,
( e0 = e2
| e0 = e3
| e0 = e2
| e0 = op(e3,e3)
| ~ spl3_82
| ~ spl3_112
| ~ spl3_121 ),
inference(forward_demodulation,[],[f4529,f994]) ).
fof(f4529,plain,
( e0 = e3
| e0 = e2
| e0 = op(e3,e3)
| e0 = op(e3,e0)
| ~ spl3_82
| ~ spl3_121 ),
inference(forward_demodulation,[],[f4205,f662]) ).
fof(f4205,plain,
( e0 = e2
| e0 = op(e3,e3)
| e0 = op(e3,e1)
| e0 = op(e3,e0)
| ~ spl3_121 ),
inference(forward_demodulation,[],[f139,f1802]) ).
fof(f4528,plain,
( spl3_126
| spl3_121
| spl3_4
| spl3_6
| ~ spl3_75
| ~ spl3_108 ),
inference(avatar_split_clause,[],[f3841,f827,f629,f294,f284,f1800,f3399]) ).
fof(f3841,plain,
( e2 = e3
| e1 = e2
| e2 = op(e3,e2)
| e2 = op(e1,e2)
| ~ spl3_75
| ~ spl3_108 ),
inference(forward_demodulation,[],[f3812,f829]) ).
fof(f3812,plain,
( e1 = e2
| e2 = op(e3,e2)
| e2 = op(e1,e2)
| e2 = op(e0,e2)
| ~ spl3_75 ),
inference(forward_demodulation,[],[f136,f630]) ).
fof(f4522,plain,
( ~ spl3_57
| ~ spl3_96 ),
inference(avatar_split_clause,[],[f4521,f741,f548]) ).
fof(f4518,plain,
( ~ spl3_59
| ~ spl3_62
| ~ spl3_90 ),
inference(avatar_split_clause,[],[f4517,f700,f570,f557]) ).
fof(f4517,plain,
( ~ sP0
| ~ spl3_62
| ~ spl3_90 ),
inference(trivial_inequality_removal,[],[f4516]) ).
fof(f4514,plain,
( ~ spl3_55
| ~ spl3_76
| ~ spl3_126 ),
inference(avatar_split_clause,[],[f4512,f3399,f633,f539]) ).
fof(f4512,plain,
( ~ sP2
| ~ spl3_76
| ~ spl3_126 ),
inference(trivial_inequality_removal,[],[f4511]) ).
fof(f4509,plain,
( ~ spl3_119
| ~ spl3_82
| spl3_86 ),
inference(avatar_split_clause,[],[f4447,f679,f660,f1247]) ).
fof(f4447,plain,
( e3 != op(e1,e3)
| ~ spl3_82
| spl3_86 ),
inference(superposition,[],[f681,f662]) ).
fof(f4507,plain,
( ~ spl3_106
| spl3_42
| ~ spl3_119 ),
inference(avatar_split_clause,[],[f4124,f1247,f474,f816]) ).
fof(f4124,plain,
( e3 != op(e1,e2)
| spl3_42
| ~ spl3_119 ),
inference(superposition,[],[f476,f1249]) ).
fof(f4505,plain,
( ~ spl3_89
| spl3_31
| ~ spl3_62 ),
inference(avatar_split_clause,[],[f3993,f570,f419,f694]) ).
fof(f3993,plain,
( e0 != op(e0,e0)
| spl3_31
| ~ spl3_62 ),
inference(superposition,[],[f421,f572]) ).
fof(f4503,plain,
( ~ spl3_65
| spl3_32
| ~ spl3_108 ),
inference(avatar_split_clause,[],[f3650,f827,f424,f584]) ).
fof(f3650,plain,
( op(e0,e0) != e3
| spl3_32
| ~ spl3_108 ),
inference(superposition,[],[f426,f829]) ).
fof(f4501,plain,
( ~ spl3_104
| spl3_36
| ~ spl3_105 ),
inference(avatar_split_clause,[],[f3646,f803,f444,f799]) ).
fof(f3646,plain,
( e2 != op(e0,e2)
| spl3_36
| ~ spl3_105 ),
inference(superposition,[],[f446,f805]) ).
fof(f4499,plain,
( ~ spl3_99
| spl3_44
| ~ spl3_75 ),
inference(avatar_split_clause,[],[f3535,f629,f484,f764]) ).
fof(f3535,plain,
( e1 != op(e2,e0)
| spl3_44
| ~ spl3_75 ),
inference(superposition,[],[f486,f630]) ).
fof(f4497,plain,
( ~ spl3_94
| spl3_20
| ~ spl3_75 ),
inference(avatar_split_clause,[],[f3533,f629,f364,f721]) ).
fof(f3533,plain,
( e1 != op(e0,e2)
| spl3_20
| ~ spl3_75 ),
inference(superposition,[],[f366,f630]) ).
fof(f4496,plain,
( ~ spl3_127
| spl3_46
| ~ spl3_75 ),
inference(avatar_split_clause,[],[f2018,f629,f494,f4493]) ).
fof(f2018,plain,
( e1 != op(e2,e1)
| spl3_46
| ~ spl3_75 ),
inference(superposition,[],[f496,f630]) ).
fof(f4490,plain,
( ~ spl3_103
| spl3_14
| ~ spl3_76 ),
inference(avatar_split_clause,[],[f1663,f633,f334,f795]) ).
fof(f334,plain,
( spl3_14
<=> op(e0,e1) = op(e2,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_14])]) ).
fof(f1663,plain,
( e2 != op(e0,e1)
| spl3_14
| ~ spl3_76 ),
inference(superposition,[],[f336,f635]) ).
fof(f336,plain,
( op(e0,e1) != op(e2,e1)
| spl3_14 ),
inference(avatar_component_clause,[],[f334]) ).
fof(f4488,plain,
( ~ spl3_69
| spl3_16
| ~ spl3_76 ),
inference(avatar_split_clause,[],[f1662,f633,f344,f602]) ).
fof(f344,plain,
( spl3_16
<=> op(e1,e1) = op(e2,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_16])]) ).
fof(f1662,plain,
( e2 != op(e1,e1)
| spl3_16
| ~ spl3_76 ),
inference(superposition,[],[f346,f635]) ).
fof(f346,plain,
( op(e1,e1) != op(e2,e1)
| spl3_16 ),
inference(avatar_component_clause,[],[f344]) ).
fof(f4459,plain,
( spl3_118
| spl3_6
| spl3_5
| spl3_3
| ~ spl3_75
| ~ spl3_76
| ~ spl3_124 ),
inference(avatar_split_clause,[],[f4412,f2038,f633,f629,f279,f289,f294,f1188]) ).
fof(f4412,plain,
( e0 = e3
| e1 = e3
| e2 = e3
| e3 = op(e2,e0)
| ~ spl3_75
| ~ spl3_76
| ~ spl3_124 ),
inference(forward_demodulation,[],[f2116,f2040]) ).
fof(f4428,plain,
( spl3_5
| ~ spl3_81
| ~ spl3_98 ),
inference(avatar_split_clause,[],[f4417,f749,f656,f289]) ).
fof(f4417,plain,
( e1 = e3
| ~ spl3_81
| ~ spl3_98 ),
inference(superposition,[],[f657,f751]) ).
fof(f4416,plain,
( spl3_81
| spl3_5
| spl3_1
| spl3_4
| ~ spl3_105
| ~ spl3_119
| ~ spl3_124 ),
inference(avatar_split_clause,[],[f4379,f2038,f1247,f803,f284,f269,f289,f656]) ).
fof(f4379,plain,
( e1 = e2
| e0 = e1
| e1 = e3
| e1 = op(e3,e3)
| ~ spl3_105
| ~ spl3_119
| ~ spl3_124 ),
inference(forward_demodulation,[],[f4378,f805]) ).
fof(f4378,plain,
( e0 = e1
| e1 = e3
| e1 = op(e3,e3)
| e1 = op(e0,e3)
| ~ spl3_119
| ~ spl3_124 ),
inference(forward_demodulation,[],[f3553,f2040]) ).
fof(f4407,plain,
( spl3_112
| spl3_6
| spl3_2
| spl3_4
| ~ spl3_61
| ~ spl3_90
| ~ spl3_118 ),
inference(avatar_split_clause,[],[f4372,f1188,f700,f566,f284,f274,f294,f992]) ).
fof(f4372,plain,
( e1 = e2
| e0 = e2
| e2 = e3
| e2 = op(e3,e0)
| ~ spl3_61
| ~ spl3_90
| ~ spl3_118 ),
inference(forward_demodulation,[],[f4371,f567]) ).
fof(f4371,plain,
( e0 = e2
| e2 = e3
| e2 = op(e3,e0)
| op(e0,e0) = e2
| ~ spl3_90
| ~ spl3_118 ),
inference(forward_demodulation,[],[f4370,f702]) ).
fof(f4400,plain,
( spl3_126
| spl3_4
| spl3_6
| spl3_2
| ~ spl3_75
| ~ spl3_108
| ~ spl3_116 ),
inference(avatar_split_clause,[],[f4349,f1173,f827,f629,f274,f294,f284,f3399]) ).
fof(f4349,plain,
( e0 = e2
| e2 = e3
| e1 = e2
| e2 = op(e1,e2)
| ~ spl3_75
| ~ spl3_108
| ~ spl3_116 ),
inference(forward_demodulation,[],[f3841,f1175]) ).
fof(f4382,plain,
( spl3_6
| ~ spl3_119
| ~ spl3_123 ),
inference(avatar_split_clause,[],[f4381,f1981,f1247,f294]) ).
fof(f4381,plain,
( e2 = e3
| ~ spl3_119
| ~ spl3_123 ),
inference(forward_demodulation,[],[f1249,f1983]) ).
fof(f4375,plain,
( spl3_6
| spl3_2
| spl3_4
| ~ spl3_75
| ~ spl3_106
| ~ spl3_108
| ~ spl3_116 ),
inference(avatar_split_clause,[],[f4346,f1173,f827,f816,f629,f284,f274,f294]) ).
fof(f4346,plain,
( e1 = e2
| e0 = e2
| e2 = e3
| ~ spl3_75
| ~ spl3_106
| ~ spl3_108
| ~ spl3_116 ),
inference(forward_demodulation,[],[f4345,f630]) ).
fof(f4365,plain,
( spl3_6
| spl3_2
| spl3_4
| ~ spl3_61
| ~ spl3_90
| ~ spl3_100
| ~ spl3_118 ),
inference(avatar_split_clause,[],[f4337,f1188,f768,f700,f566,f284,f274,f294]) ).
fof(f4337,plain,
( e1 = e2
| e0 = e2
| e2 = e3
| ~ spl3_61
| ~ spl3_90
| ~ spl3_100
| ~ spl3_118 ),
inference(duplicate_literal_removal,[],[f4336]) ).
fof(f4336,plain,
( e1 = e2
| e0 = e2
| e1 = e2
| e2 = e3
| ~ spl3_61
| ~ spl3_90
| ~ spl3_100
| ~ spl3_118 ),
inference(forward_demodulation,[],[f4335,f567]) ).
fof(f4335,plain,
( e0 = e2
| e1 = e2
| e2 = e3
| op(e0,e0) = e2
| ~ spl3_90
| ~ spl3_100
| ~ spl3_118 ),
inference(forward_demodulation,[],[f4334,f702]) ).
fof(f4334,plain,
( e1 = e2
| e2 = e3
| e2 = op(e1,e0)
| op(e0,e0) = e2
| ~ spl3_100
| ~ spl3_118 ),
inference(forward_demodulation,[],[f3615,f770]) ).
fof(f3615,plain,
( e2 = e3
| e2 = op(e3,e0)
| e2 = op(e1,e0)
| op(e0,e0) = e2
| ~ spl3_118 ),
inference(forward_demodulation,[],[f120,f1190]) ).
fof(f4331,plain,
( spl3_5
| ~ spl3_61
| ~ spl3_116
| ~ spl3_118
| ~ spl3_121 ),
inference(avatar_split_clause,[],[f4330,f1800,f1188,f1173,f566,f289]) ).
fof(f4330,plain,
( e1 = e3
| ~ spl3_61
| ~ spl3_116
| ~ spl3_118
| ~ spl3_121 ),
inference(forward_demodulation,[],[f4329,f567]) ).
fof(f4329,plain,
( op(e0,e0) = e3
| ~ spl3_116
| ~ spl3_118
| ~ spl3_121 ),
inference(forward_demodulation,[],[f1190,f4275]) ).
fof(f4301,plain,
( spl3_118
| spl3_3
| spl3_5
| ~ spl3_61
| ~ spl3_90
| ~ spl3_100 ),
inference(avatar_split_clause,[],[f4213,f768,f700,f566,f289,f279,f1188]) ).
fof(f4213,plain,
( e1 = e3
| e0 = e3
| e3 = op(e2,e0)
| ~ spl3_61
| ~ spl3_90
| ~ spl3_100 ),
inference(duplicate_literal_removal,[],[f4212]) ).
fof(f4212,plain,
( e1 = e3
| e0 = e3
| e1 = e3
| e3 = op(e2,e0)
| ~ spl3_61
| ~ spl3_90
| ~ spl3_100 ),
inference(forward_demodulation,[],[f3031,f567]) ).
fof(f3031,plain,
( e0 = e3
| e1 = e3
| e3 = op(e2,e0)
| op(e0,e0) = e3
| ~ spl3_90
| ~ spl3_100 ),
inference(forward_demodulation,[],[f1009,f702]) ).
fof(f1009,plain,
( e1 = e3
| e3 = op(e2,e0)
| e3 = op(e1,e0)
| op(e0,e0) = e3
| ~ spl3_100 ),
inference(forward_demodulation,[],[f122,f770]) ).
fof(f4230,plain,
( spl3_79
| spl3_3
| spl3_2
| ~ spl3_78
| ~ spl3_105
| ~ spl3_119 ),
inference(avatar_split_clause,[],[f4184,f1247,f803,f642,f274,f279,f647]) ).
fof(f4184,plain,
( e0 = e2
| e0 = e3
| e0 = op(e3,e3)
| ~ spl3_78
| ~ spl3_105
| ~ spl3_119 ),
inference(duplicate_literal_removal,[],[f4183]) ).
fof(f4183,plain,
( e0 = e2
| e0 = e3
| e0 = e2
| e0 = op(e3,e3)
| ~ spl3_78
| ~ spl3_105
| ~ spl3_119 ),
inference(forward_demodulation,[],[f3313,f805]) ).
fof(f3313,plain,
( e0 = e3
| e0 = e2
| e0 = op(e3,e3)
| e0 = op(e0,e3)
| ~ spl3_78
| ~ spl3_119 ),
inference(forward_demodulation,[],[f3312,f1249]) ).
fof(f3312,plain,
( e0 = e2
| e0 = op(e3,e3)
| e0 = op(e1,e3)
| e0 = op(e0,e3)
| ~ spl3_78 ),
inference(forward_demodulation,[],[f140,f644]) ).
fof(f4194,plain,
( spl3_1
| ~ spl3_92
| ~ spl3_100 ),
inference(avatar_split_clause,[],[f3999,f768,f708,f269]) ).
fof(f3999,plain,
( e0 = e1
| ~ spl3_92
| ~ spl3_100 ),
inference(superposition,[],[f770,f710]) ).
fof(f4160,plain,
( spl3_118
| spl3_6
| spl3_5
| ~ spl3_75
| ~ spl3_76
| ~ spl3_125 ),
inference(avatar_split_clause,[],[f4097,f2759,f633,f629,f289,f294,f1188]) ).
fof(f4097,plain,
( e1 = e3
| e2 = e3
| e3 = op(e2,e0)
| ~ spl3_75
| ~ spl3_76
| ~ spl3_125 ),
inference(duplicate_literal_removal,[],[f4096]) ).
fof(f4096,plain,
( e1 = e3
| e1 = e3
| e2 = e3
| e3 = op(e2,e0)
| ~ spl3_75
| ~ spl3_76
| ~ spl3_125 ),
inference(forward_demodulation,[],[f2849,f630]) ).
fof(f2849,plain,
( e1 = e3
| e2 = e3
| e3 = op(e2,e2)
| e3 = op(e2,e0)
| ~ spl3_76
| ~ spl3_125 ),
inference(forward_demodulation,[],[f1667,f2760]) ).
fof(f4136,plain,
( spl3_121
| spl3_2
| spl3_6
| ~ spl3_75
| ~ spl3_92
| ~ spl3_100
| ~ spl3_108 ),
inference(avatar_split_clause,[],[f4038,f827,f768,f708,f629,f294,f274,f1800]) ).
fof(f4038,plain,
( e2 = e3
| e0 = e2
| e2 = op(e3,e2)
| ~ spl3_75
| ~ spl3_92
| ~ spl3_100
| ~ spl3_108 ),
inference(duplicate_literal_removal,[],[f4037]) ).
fof(f4037,plain,
( e2 = e3
| e0 = e2
| e2 = e3
| e2 = op(e3,e2)
| ~ spl3_75
| ~ spl3_92
| ~ spl3_100
| ~ spl3_108 ),
inference(forward_demodulation,[],[f4036,f829]) ).
fof(f4036,plain,
( e2 = op(e0,e2)
| e0 = e2
| e2 = e3
| e2 = op(e3,e2)
| ~ spl3_75
| ~ spl3_92
| ~ spl3_100
| ~ spl3_108 ),
inference(forward_demodulation,[],[f4035,f3999]) ).
fof(f4035,plain,
( e0 = e2
| e2 = e3
| e2 = op(e3,e2)
| e2 = op(e1,e2)
| ~ spl3_75
| ~ spl3_92
| ~ spl3_100
| ~ spl3_108 ),
inference(forward_demodulation,[],[f3841,f3999]) ).
fof(f4082,plain,
( spl3_3
| spl3_6
| spl3_5
| ~ spl3_61
| ~ spl3_91
| ~ spl3_100
| ~ spl3_113 ),
inference(avatar_split_clause,[],[f4071,f1004,f768,f704,f566,f289,f294,f279]) ).
fof(f4071,plain,
( e1 = e3
| e2 = e3
| e0 = e3
| ~ spl3_61
| ~ spl3_91
| ~ spl3_100
| ~ spl3_113 ),
inference(duplicate_literal_removal,[],[f4070]) ).
fof(f4070,plain,
( e1 = e3
| e2 = e3
| e0 = e3
| e1 = e3
| ~ spl3_61
| ~ spl3_91
| ~ spl3_100
| ~ spl3_113 ),
inference(forward_demodulation,[],[f4069,f567]) ).
fof(f4069,plain,
( e2 = e3
| e0 = e3
| e1 = e3
| op(e0,e0) = e3
| ~ spl3_91
| ~ spl3_100
| ~ spl3_113 ),
inference(forward_demodulation,[],[f1010,f1006]) ).
fof(f1010,plain,
( e0 = e3
| e1 = e3
| e3 = op(e1,e0)
| op(e0,e0) = e3
| ~ spl3_91
| ~ spl3_100 ),
inference(forward_demodulation,[],[f1009,f706]) ).
fof(f4068,plain,
( spl3_1
| ~ spl3_60
| ~ spl3_61
| ~ spl3_62 ),
inference(avatar_split_clause,[],[f4023,f570,f566,f561,f269]) ).
fof(f4023,plain,
( e0 = e1
| ~ spl3_60
| ~ spl3_61
| ~ spl3_62 ),
inference(forward_demodulation,[],[f4022,f572]) ).
fof(f4022,plain,
( e1 = op(e0,e1)
| ~ spl3_60
| ~ spl3_61 ),
inference(superposition,[],[f562,f567]) ).
fof(f4044,plain,
( spl3_3
| spl3_2
| spl3_64
| ~ spl3_71
| ~ spl3_92
| ~ spl3_100
| ~ spl3_105
| ~ spl3_113 ),
inference(avatar_split_clause,[],[f4028,f1004,f803,f768,f708,f611,f579,f274,f279]) ).
fof(f4028,plain,
( e0 = op(e0,e2)
| e0 = e2
| e0 = e3
| ~ spl3_71
| ~ spl3_92
| ~ spl3_100
| ~ spl3_105
| ~ spl3_113 ),
inference(forward_demodulation,[],[f4027,f3999]) ).
fof(f4027,plain,
( e0 = e2
| e0 = e3
| e0 = op(e1,e2)
| ~ spl3_71
| ~ spl3_92
| ~ spl3_100
| ~ spl3_105
| ~ spl3_113 ),
inference(duplicate_literal_removal,[],[f4026]) ).
fof(f4026,plain,
( e0 = e2
| e0 = e2
| e0 = e3
| e0 = op(e1,e2)
| ~ spl3_71
| ~ spl3_92
| ~ spl3_100
| ~ spl3_105
| ~ spl3_113 ),
inference(forward_demodulation,[],[f4025,f805]) ).
fof(f4025,plain,
( e0 = op(e0,e3)
| e0 = e2
| e0 = e3
| e0 = op(e1,e2)
| ~ spl3_71
| ~ spl3_92
| ~ spl3_100
| ~ spl3_113 ),
inference(forward_demodulation,[],[f1636,f3999]) ).
fof(f1636,plain,
( e0 = e2
| e0 = e3
| e0 = op(e1,e3)
| e0 = op(e1,e2)
| ~ spl3_71
| ~ spl3_113 ),
inference(forward_demodulation,[],[f1635,f1006]) ).
fof(f1635,plain,
( e0 = e3
| e0 = op(e1,e3)
| e0 = op(e1,e2)
| e0 = op(e1,e0)
| ~ spl3_71 ),
inference(forward_demodulation,[],[f123,f612]) ).
fof(f4024,plain,
( spl3_111
| spl3_3
| spl3_2
| ~ spl3_71
| ~ spl3_113
| ~ spl3_126 ),
inference(avatar_split_clause,[],[f3990,f3399,f1004,f611,f274,f279,f895]) ).
fof(f3990,plain,
( e0 = e2
| e0 = e3
| e0 = op(e1,e3)
| ~ spl3_71
| ~ spl3_113
| ~ spl3_126 ),
inference(duplicate_literal_removal,[],[f3989]) ).
fof(f3989,plain,
( e0 = e2
| e0 = e2
| e0 = e3
| e0 = op(e1,e3)
| ~ spl3_71
| ~ spl3_113
| ~ spl3_126 ),
inference(forward_demodulation,[],[f1636,f3401]) ).
fof(f4020,plain,
( ~ spl3_93
| spl3_85
| ~ spl3_100 ),
inference(avatar_split_clause,[],[f3484,f768,f674,f717]) ).
fof(f3484,plain,
( e1 != op(e0,e1)
| spl3_85
| ~ spl3_100 ),
inference(forward_demodulation,[],[f676,f770]) ).
fof(f3962,plain,
( ~ spl3_124
| ~ spl3_71
| ~ spl3_75 ),
inference(avatar_split_clause,[],[f3954,f629,f611,f2038]) ).
fof(f3954,plain,
( e0 != op(e2,e3)
| ~ spl3_71
| ~ spl3_75 ),
inference(trivial_inequality_removal,[],[f3953]) ).
fof(f3953,plain,
( e3 != e3
| e0 != op(e2,e3)
| ~ spl3_71
| ~ spl3_75 ),
inference(forward_demodulation,[],[f3952,f612]) ).
fof(f3952,plain,
( e0 != op(e2,e3)
| e3 != op(e1,e1)
| ~ spl3_75 ),
inference(trivial_inequality_removal,[],[f3951]) ).
fof(f3951,plain,
( e1 != e1
| e0 != op(e2,e3)
| e3 != op(e1,e1)
| ~ spl3_75 ),
inference(forward_demodulation,[],[f243,f630]) ).
fof(f243,plain,
( e0 != op(e2,e3)
| e1 != op(e2,e2)
| e3 != op(e1,e1) ),
inference(inner_rewriting,[],[f242]) ).
fof(f242,plain,
( e0 != op(e2,op(e1,e1))
| e1 != op(e2,e2)
| e3 != op(e1,e1) ),
inference(inner_rewriting,[],[f207]) ).
fof(f207,plain,
( e0 != op(e2,op(op(e2,e2),op(e2,e2)))
| e1 != op(e2,e2)
| e3 != op(op(e2,e2),op(e2,e2)) ),
inference(cnf_transformation,[],[f41]) ).
fof(f41,plain,
( e0 != op(e2,op(op(e2,e2),op(e2,e2)))
| e1 != op(e2,e2)
| e3 != op(op(e2,e2),op(e2,e2)) ),
inference(ennf_transformation,[],[f26]) ).
fof(f26,axiom,
~ ( e0 = op(e2,op(op(e2,e2),op(e2,e2)))
& e1 = op(e2,e2)
& e3 = op(op(e2,e2),op(e2,e2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax26) ).
fof(f3950,plain,
( spl3_124
| spl3_2
| spl3_1
| spl3_3
| ~ spl3_75
| ~ spl3_76
| ~ spl3_118 ),
inference(avatar_split_clause,[],[f3531,f1188,f633,f629,f279,f269,f274,f2038]) ).
fof(f3531,plain,
( e0 = e3
| e0 = e1
| e0 = e2
| e0 = op(e2,e3)
| ~ spl3_75
| ~ spl3_76
| ~ spl3_118 ),
inference(forward_demodulation,[],[f2119,f1190]) ).
fof(f2119,plain,
( e0 = e1
| e0 = e2
| e0 = op(e2,e3)
| e0 = op(e2,e0)
| ~ spl3_75
| ~ spl3_76 ),
inference(forward_demodulation,[],[f1666,f630]) ).
fof(f1666,plain,
( e0 = e2
| e0 = op(e2,e3)
| e0 = op(e2,e2)
| e0 = op(e2,e0)
| ~ spl3_76 ),
inference(forward_demodulation,[],[f131,f635]) ).
fof(f3937,plain,
( spl3_126
| spl3_6
| spl3_4
| ~ spl3_68
| ~ spl3_71
| ~ spl3_72 ),
inference(avatar_split_clause,[],[f3896,f615,f611,f597,f284,f294,f3399]) ).
fof(f3896,plain,
( e1 = e2
| e2 = e3
| e2 = op(e1,e2)
| ~ spl3_68
| ~ spl3_71
| ~ spl3_72 ),
inference(duplicate_literal_removal,[],[f3895]) ).
fof(f3895,plain,
( e1 = e2
| e2 = e3
| e1 = e2
| e2 = op(e1,e2)
| ~ spl3_68
| ~ spl3_71
| ~ spl3_72 ),
inference(forward_demodulation,[],[f3393,f599]) ).
fof(f3393,plain,
( e2 = e3
| e1 = e2
| e2 = op(e1,e2)
| e2 = op(e1,e0)
| ~ spl3_71
| ~ spl3_72 ),
inference(forward_demodulation,[],[f1435,f612]) ).
fof(f1435,plain,
( e1 = e2
| e2 = op(e1,e2)
| e2 = op(e1,e1)
| e2 = op(e1,e0)
| ~ spl3_72 ),
inference(forward_demodulation,[],[f127,f617]) ).
fof(f3911,plain,
( spl3_79
| spl3_1
| spl3_2
| ~ spl3_72
| ~ spl3_105
| ~ spl3_125 ),
inference(avatar_split_clause,[],[f3890,f2759,f803,f615,f274,f269,f647]) ).
fof(f3890,plain,
( e0 = e2
| e0 = e1
| e0 = op(e3,e3)
| ~ spl3_72
| ~ spl3_105
| ~ spl3_125 ),
inference(forward_demodulation,[],[f3429,f805]) ).
fof(f3429,plain,
( e0 = e1
| e0 = op(e3,e3)
| e0 = op(e0,e3)
| ~ spl3_72
| ~ spl3_125 ),
inference(duplicate_literal_removal,[],[f3428]) ).
fof(f3428,plain,
( e0 = e1
| e0 = e1
| e0 = op(e3,e3)
| e0 = op(e0,e3)
| ~ spl3_72
| ~ spl3_125 ),
inference(forward_demodulation,[],[f2846,f617]) ).
fof(f3878,plain,
( spl3_71
| spl3_6
| spl3_3
| spl3_5
| ~ spl3_76
| ~ spl3_93
| ~ spl3_102 ),
inference(avatar_split_clause,[],[f3174,f782,f717,f633,f289,f279,f294,f611]) ).
fof(f3174,plain,
( e1 = e3
| e0 = e3
| e2 = e3
| e3 = op(e1,e1)
| ~ spl3_76
| ~ spl3_93
| ~ spl3_102 ),
inference(forward_demodulation,[],[f3173,f719]) ).
fof(f3173,plain,
( e0 = e3
| e2 = e3
| e3 = op(e1,e1)
| e3 = op(e0,e1)
| ~ spl3_76
| ~ spl3_102 ),
inference(forward_demodulation,[],[f2354,f784]) ).
fof(f2354,plain,
( e2 = e3
| e3 = op(e3,e1)
| e3 = op(e1,e1)
| e3 = op(e0,e1)
| ~ spl3_76 ),
inference(forward_demodulation,[],[f130,f635]) ).
fof(f3868,plain,
( spl3_79
| spl3_3
| spl3_2
| ~ spl3_105
| ~ spl3_119
| ~ spl3_120 ),
inference(avatar_split_clause,[],[f3817,f1300,f1247,f803,f274,f279,f647]) ).
fof(f3817,plain,
( e0 = e2
| e0 = e3
| e0 = op(e3,e3)
| ~ spl3_105
| ~ spl3_119
| ~ spl3_120 ),
inference(forward_demodulation,[],[f3816,f805]) ).
fof(f3816,plain,
( e0 = e3
| e0 = op(e3,e3)
| e0 = op(e0,e3)
| ~ spl3_119
| ~ spl3_120 ),
inference(duplicate_literal_removal,[],[f3815]) ).
fof(f3815,plain,
( e0 = e3
| e0 = e3
| e0 = op(e3,e3)
| e0 = op(e0,e3)
| ~ spl3_119
| ~ spl3_120 ),
inference(forward_demodulation,[],[f2781,f1249]) ).
fof(f3847,plain,
( ~ spl3_75
| ~ spl3_67
| ~ spl3_118 ),
inference(avatar_split_clause,[],[f3840,f1188,f593,f629]) ).
fof(f3840,plain,
( e1 != op(e2,e2)
| ~ spl3_67
| ~ spl3_118 ),
inference(trivial_inequality_removal,[],[f3839]) ).
fof(f3839,plain,
( e0 != e0
| e1 != op(e2,e2)
| ~ spl3_67
| ~ spl3_118 ),
inference(forward_demodulation,[],[f3611,f594]) ).
fof(f3611,plain,
( e1 != op(e2,e2)
| e0 != op(e1,e1)
| ~ spl3_118 ),
inference(trivial_inequality_removal,[],[f3610]) ).
fof(f3610,plain,
( e3 != e3
| e1 != op(e2,e2)
| e0 != op(e1,e1)
| ~ spl3_118 ),
inference(forward_demodulation,[],[f223,f1190]) ).
fof(f223,plain,
( e3 != op(e2,e0)
| e1 != op(e2,e2)
| e0 != op(e1,e1) ),
inference(inner_rewriting,[],[f222]) ).
fof(f222,plain,
( e3 != op(e2,op(e1,e1))
| e1 != op(e2,e2)
| e0 != op(e1,e1) ),
inference(inner_rewriting,[],[f197]) ).
fof(f197,plain,
( e3 != op(e2,op(op(e2,e2),op(e2,e2)))
| e1 != op(e2,e2)
| e0 != op(op(e2,e2),op(e2,e2)) ),
inference(cnf_transformation,[],[f31]) ).
fof(f31,plain,
( e3 != op(e2,op(op(e2,e2),op(e2,e2)))
| e1 != op(e2,e2)
| e0 != op(op(e2,e2),op(e2,e2)) ),
inference(ennf_transformation,[],[f7]) ).
fof(f7,axiom,
~ ( e3 = op(e2,op(op(e2,e2),op(e2,e2)))
& e1 = op(e2,e2)
& e0 = op(op(e2,e2),op(e2,e2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax7) ).
fof(f3838,plain,
( spl3_123
| spl3_2
| spl3_4
| ~ spl3_67
| ~ spl3_68
| ~ spl3_110 ),
inference(avatar_split_clause,[],[f3811,f891,f597,f593,f284,f274,f1981]) ).
fof(f3811,plain,
( e1 = e2
| e0 = e2
| e2 = op(e1,e3)
| ~ spl3_67
| ~ spl3_68
| ~ spl3_110 ),
inference(forward_demodulation,[],[f3810,f599]) ).
fof(f3810,plain,
( e0 = e2
| e2 = op(e1,e3)
| e2 = op(e1,e0)
| ~ spl3_67
| ~ spl3_110 ),
inference(duplicate_literal_removal,[],[f3809]) ).
fof(f3809,plain,
( e0 = e2
| e0 = e2
| e2 = op(e1,e3)
| e2 = op(e1,e0)
| ~ spl3_67
| ~ spl3_110 ),
inference(forward_demodulation,[],[f3808,f594]) ).
fof(f3831,plain,
( spl3_6
| spl3_5
| spl3_3
| ~ spl3_67
| ~ spl3_76
| ~ spl3_93
| ~ spl3_102 ),
inference(avatar_split_clause,[],[f3804,f782,f717,f633,f593,f279,f289,f294]) ).
fof(f3804,plain,
( e0 = e3
| e1 = e3
| e2 = e3
| ~ spl3_67
| ~ spl3_76
| ~ spl3_93
| ~ spl3_102 ),
inference(duplicate_literal_removal,[],[f3803]) ).
fof(f3803,plain,
( e0 = e3
| e1 = e3
| e0 = e3
| e2 = e3
| ~ spl3_67
| ~ spl3_76
| ~ spl3_93
| ~ spl3_102 ),
inference(forward_demodulation,[],[f3174,f594]) ).
fof(f3798,plain,
( spl3_3
| ~ spl3_105
| ~ spl3_110
| ~ spl3_120
| ~ spl3_126 ),
inference(avatar_split_clause,[],[f3773,f3399,f1300,f891,f803,f279]) ).
fof(f3773,plain,
( e0 = e3
| ~ spl3_105
| ~ spl3_110
| ~ spl3_120
| ~ spl3_126 ),
inference(forward_demodulation,[],[f3772,f3743]) ).
fof(f3743,plain,
( e0 = e2
| ~ spl3_110
| ~ spl3_126 ),
inference(superposition,[],[f3401,f893]) ).
fof(f3772,plain,
( e2 = e3
| ~ spl3_105
| ~ spl3_110
| ~ spl3_120
| ~ spl3_126 ),
inference(forward_demodulation,[],[f3771,f805]) ).
fof(f3771,plain,
( e3 = op(e0,e3)
| ~ spl3_110
| ~ spl3_120
| ~ spl3_126 ),
inference(forward_demodulation,[],[f1302,f3743]) ).
fof(f3770,plain,
( spl3_5
| ~ spl3_72
| ~ spl3_119 ),
inference(avatar_split_clause,[],[f3638,f1247,f615,f289]) ).
fof(f3638,plain,
( e1 = e3
| ~ spl3_72
| ~ spl3_119 ),
inference(superposition,[],[f1249,f617]) ).
fof(f3750,plain,
( spl3_124
| spl3_125
| spl3_78
| spl3_120 ),
inference(avatar_split_clause,[],[f158,f1300,f642,f2759,f2038]) ).
fof(f158,plain,
( e3 = op(e2,e3)
| e2 = op(e2,e3)
| e1 = op(e2,e3)
| e0 = op(e2,e3) ),
inference(cnf_transformation,[],[f1]) ).
fof(f3735,plain,
( spl3_126
| spl3_4
| ~ spl3_72
| ~ spl3_75
| ~ spl3_108
| ~ spl3_119 ),
inference(avatar_split_clause,[],[f3727,f1247,f827,f629,f615,f284,f3399]) ).
fof(f3727,plain,
( e1 = e2
| e2 = op(e1,e2)
| ~ spl3_72
| ~ spl3_75
| ~ spl3_108
| ~ spl3_119 ),
inference(duplicate_literal_removal,[],[f3726]) ).
fof(f3726,plain,
( e1 = e2
| e1 = e2
| e2 = op(e1,e2)
| ~ spl3_72
| ~ spl3_75
| ~ spl3_108
| ~ spl3_119 ),
inference(forward_demodulation,[],[f3725,f3638]) ).
fof(f3725,plain,
( e2 = e3
| e1 = e2
| e2 = op(e1,e2)
| ~ spl3_72
| ~ spl3_75
| ~ spl3_108
| ~ spl3_119 ),
inference(forward_demodulation,[],[f3724,f829]) ).
fof(f3724,plain,
( e1 = e2
| e2 = op(e1,e2)
| e2 = op(e0,e2)
| ~ spl3_72
| ~ spl3_75
| ~ spl3_119 ),
inference(forward_demodulation,[],[f3723,f630]) ).
fof(f3723,plain,
( e2 = op(e1,e2)
| e2 = op(e2,e2)
| e2 = op(e0,e2)
| ~ spl3_72
| ~ spl3_119 ),
inference(duplicate_literal_removal,[],[f3722]) ).
fof(f3722,plain,
( e2 = op(e1,e2)
| e2 = op(e2,e2)
| e2 = op(e1,e2)
| e2 = op(e0,e2)
| ~ spl3_72
| ~ spl3_119 ),
inference(forward_demodulation,[],[f136,f3638]) ).
fof(f3712,plain,
( spl3_2
| spl3_110
| spl3_1
| ~ spl3_72
| ~ spl3_75
| ~ spl3_108
| ~ spl3_119
| ~ spl3_126 ),
inference(avatar_split_clause,[],[f3677,f3399,f1247,f827,f629,f615,f269,f891,f274]) ).
fof(f3677,plain,
( e0 = e1
| e0 = op(e1,e2)
| e0 = e2
| ~ spl3_72
| ~ spl3_75
| ~ spl3_108
| ~ spl3_119
| ~ spl3_126 ),
inference(duplicate_literal_removal,[],[f3676]) ).
fof(f3676,plain,
( e0 = e1
| e0 = op(e1,e2)
| e0 = e2
| e0 = e1
| ~ spl3_72
| ~ spl3_75
| ~ spl3_108
| ~ spl3_119
| ~ spl3_126 ),
inference(forward_demodulation,[],[f3675,f3638]) ).
fof(f3675,plain,
( e0 = e3
| e0 = op(e1,e2)
| e0 = e2
| e0 = e1
| ~ spl3_72
| ~ spl3_75
| ~ spl3_108
| ~ spl3_119
| ~ spl3_126 ),
inference(forward_demodulation,[],[f3674,f829]) ).
fof(f3674,plain,
( e0 = op(e1,e2)
| e0 = e2
| e0 = e1
| e0 = op(e0,e2)
| ~ spl3_72
| ~ spl3_75
| ~ spl3_119
| ~ spl3_126 ),
inference(forward_demodulation,[],[f3550,f3638]) ).
fof(f3550,plain,
( e0 = e2
| e0 = e1
| e0 = op(e3,e2)
| e0 = op(e0,e2)
| ~ spl3_75
| ~ spl3_126 ),
inference(forward_demodulation,[],[f1870,f3401]) ).
fof(f1870,plain,
( e0 = e1
| e0 = op(e3,e2)
| e0 = op(e1,e2)
| e0 = op(e0,e2)
| ~ spl3_75 ),
inference(forward_demodulation,[],[f132,f630]) ).
fof(f3671,plain,
( spl3_3
| ~ spl3_67
| ~ spl3_71 ),
inference(avatar_split_clause,[],[f3628,f611,f593,f279]) ).
fof(f3628,plain,
( e0 = e3
| ~ spl3_67
| ~ spl3_71 ),
inference(superposition,[],[f612,f594]) ).
fof(f3663,plain,
( ~ spl3_89
| ~ spl3_67
| ~ spl3_71
| spl3_98 ),
inference(avatar_split_clause,[],[f3660,f749,f611,f593,f694]) ).
fof(f3660,plain,
( e0 != op(e0,e0)
| ~ spl3_67
| ~ spl3_71
| spl3_98 ),
inference(forward_demodulation,[],[f750,f3628]) ).
fof(f750,plain,
( e3 != op(e3,e3)
| spl3_98 ),
inference(avatar_component_clause,[],[f749]) ).
fof(f3656,plain,
( ~ spl3_83
| ~ spl3_75
| ~ spl3_102 ),
inference(avatar_split_clause,[],[f3547,f782,f629,f665]) ).
fof(f3547,plain,
( e2 != op(e3,e3)
| ~ spl3_75
| ~ spl3_102 ),
inference(trivial_inequality_removal,[],[f3546]) ).
fof(f3546,plain,
( e1 != e1
| e2 != op(e3,e3)
| ~ spl3_75
| ~ spl3_102 ),
inference(forward_demodulation,[],[f3071,f630]) ).
fof(f3071,plain,
( e2 != op(e3,e3)
| e1 != op(e2,e2)
| ~ spl3_102 ),
inference(trivial_inequality_removal,[],[f3070]) ).
fof(f3070,plain,
( e0 != e0
| e2 != op(e3,e3)
| e1 != op(e2,e2)
| ~ spl3_102 ),
inference(forward_demodulation,[],[f237,f784]) ).
fof(f237,plain,
( e0 != op(e3,e1)
| e2 != op(e3,e3)
| e1 != op(e2,e2) ),
inference(inner_rewriting,[],[f236]) ).
fof(f236,plain,
( e0 != op(e3,op(e2,e2))
| e2 != op(e3,e3)
| e1 != op(e2,e2) ),
inference(inner_rewriting,[],[f204]) ).
fof(f204,plain,
( e0 != op(e3,op(op(e3,e3),op(e3,e3)))
| e2 != op(e3,e3)
| e1 != op(op(e3,e3),op(e3,e3)) ),
inference(cnf_transformation,[],[f38]) ).
fof(f38,plain,
( e0 != op(e3,op(op(e3,e3),op(e3,e3)))
| e2 != op(e3,e3)
| e1 != op(op(e3,e3),op(e3,e3)) ),
inference(ennf_transformation,[],[f14]) ).
fof(f14,axiom,
~ ( e0 = op(e3,op(op(e3,e3),op(e3,e3)))
& e2 = op(e3,e3)
& e1 = op(op(e3,e3),op(e3,e3)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax14) ).
fof(f3607,plain,
( spl3_6
| ~ spl3_71
| ~ spl3_102
| ~ spl3_103
| ~ spl3_114 ),
inference(avatar_split_clause,[],[f3603,f1126,f795,f782,f611,f294]) ).
fof(f3603,plain,
( e2 = e3
| ~ spl3_71
| ~ spl3_102
| ~ spl3_103
| ~ spl3_114 ),
inference(forward_demodulation,[],[f3602,f3577]) ).
fof(f3577,plain,
( op(e0,e0) = e2
| ~ spl3_102
| ~ spl3_103
| ~ spl3_114 ),
inference(forward_demodulation,[],[f797,f1951]) ).
fof(f1951,plain,
( e0 = e1
| ~ spl3_102
| ~ spl3_114 ),
inference(superposition,[],[f784,f1128]) ).
fof(f3602,plain,
( op(e0,e0) = e3
| ~ spl3_71
| ~ spl3_102
| ~ spl3_114 ),
inference(forward_demodulation,[],[f612,f1951]) ).
fof(f3540,plain,
( ~ spl3_75
| ~ spl3_63
| ~ spl3_107 ),
inference(avatar_split_clause,[],[f3522,f823,f575,f629]) ).
fof(f3522,plain,
( e1 != op(e2,e2)
| ~ spl3_63
| ~ spl3_107 ),
inference(trivial_inequality_removal,[],[f3521]) ).
fof(f3521,plain,
( e2 != e2
| e1 != op(e2,e2)
| ~ spl3_63
| ~ spl3_107 ),
inference(forward_demodulation,[],[f3520,f576]) ).
fof(f3520,plain,
( op(e0,e0) != e2
| e1 != op(e2,e2)
| ~ spl3_107 ),
inference(trivial_inequality_removal,[],[f3519]) ).
fof(f3519,plain,
( e3 != e3
| op(e0,e0) != e2
| e1 != op(e2,e2)
| ~ spl3_107 ),
inference(forward_demodulation,[],[f257,f825]) ).
fof(f257,plain,
( e3 != op(e0,e1)
| op(e0,e0) != e2
| e1 != op(e2,e2) ),
inference(inner_rewriting,[],[f256]) ).
fof(f256,plain,
( e3 != op(e0,op(e2,e2))
| op(e0,e0) != e2
| e1 != op(e2,e2) ),
inference(inner_rewriting,[],[f214]) ).
fof(f214,plain,
( e3 != op(e0,op(op(e0,e0),op(e0,e0)))
| op(e0,e0) != e2
| e1 != op(op(e0,e0),op(e0,e0)) ),
inference(cnf_transformation,[],[f48]) ).
fof(f48,plain,
( e3 != op(e0,op(op(e0,e0),op(e0,e0)))
| op(e0,e0) != e2
| e1 != op(op(e0,e0),op(e0,e0)) ),
inference(ennf_transformation,[],[f15]) ).
fof(f15,axiom,
~ ( e3 = op(e0,op(op(e0,e0),op(e0,e0)))
& op(e0,e0) = e2
& e1 = op(op(e0,e0),op(e0,e0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax15) ).
fof(f3518,plain,
( spl3_79
| spl3_2
| spl3_1
| spl3_3
| ~ spl3_78
| ~ spl3_95
| ~ spl3_119 ),
inference(avatar_split_clause,[],[f3476,f1247,f725,f642,f279,f269,f274,f647]) ).
fof(f3476,plain,
( e0 = e3
| e0 = e1
| e0 = e2
| e0 = op(e3,e3)
| ~ spl3_78
| ~ spl3_95
| ~ spl3_119 ),
inference(forward_demodulation,[],[f1407,f1249]) ).
fof(f1407,plain,
( e0 = e1
| e0 = e2
| e0 = op(e3,e3)
| e0 = op(e1,e3)
| ~ spl3_78
| ~ spl3_95 ),
inference(forward_demodulation,[],[f1406,f727]) ).
fof(f1406,plain,
( e0 = e2
| e0 = op(e3,e3)
| e0 = op(e1,e3)
| e0 = op(e0,e3)
| ~ spl3_78 ),
inference(forward_demodulation,[],[f140,f644]) ).
fof(f3516,plain,
( ~ spl3_93
| spl3_35
| ~ spl3_95 ),
inference(avatar_split_clause,[],[f1121,f725,f439,f717]) ).
fof(f1121,plain,
( e1 != op(e0,e1)
| spl3_35
| ~ spl3_95 ),
inference(superposition,[],[f441,f727]) ).
fof(f3508,plain,
( spl3_96
| spl3_5
| spl3_4
| spl3_1
| ~ spl3_76
| ~ spl3_102
| ~ spl3_107 ),
inference(avatar_split_clause,[],[f3466,f823,f782,f633,f269,f284,f289,f741]) ).
fof(f3466,plain,
( e0 = e1
| e1 = e2
| e1 = e3
| e1 = op(e1,e1)
| ~ spl3_76
| ~ spl3_102
| ~ spl3_107 ),
inference(forward_demodulation,[],[f1699,f784]) ).
fof(f1699,plain,
( e1 = e2
| e1 = e3
| e1 = op(e3,e1)
| e1 = op(e1,e1)
| ~ spl3_76
| ~ spl3_107 ),
inference(forward_demodulation,[],[f1015,f635]) ).
fof(f1015,plain,
( e1 = e3
| e1 = op(e3,e1)
| e1 = op(e2,e1)
| e1 = op(e1,e1)
| ~ spl3_107 ),
inference(forward_demodulation,[],[f126,f825]) ).
fof(f3500,plain,
( spl3_118
| spl3_5
| spl3_3
| spl3_6
| ~ spl3_63
| ~ spl3_90
| ~ spl3_100 ),
inference(avatar_split_clause,[],[f3431,f768,f700,f575,f294,f279,f289,f1188]) ).
fof(f3431,plain,
( e2 = e3
| e0 = e3
| e1 = e3
| e3 = op(e2,e0)
| ~ spl3_63
| ~ spl3_90
| ~ spl3_100 ),
inference(forward_demodulation,[],[f3031,f576]) ).
fof(f3485,plain,
( ~ spl3_59
| ~ spl3_107
| ~ spl3_119 ),
inference(avatar_split_clause,[],[f3483,f1247,f823,f557]) ).
fof(f3483,plain,
( ~ sP0
| ~ spl3_107
| ~ spl3_119 ),
inference(trivial_inequality_removal,[],[f3482]) ).
fof(f3475,plain,
( spl3_5
| ~ spl3_85
| ~ spl3_100
| ~ spl3_107 ),
inference(avatar_split_clause,[],[f3468,f823,f768,f674,f289]) ).
fof(f3468,plain,
( e1 = e3
| ~ spl3_85
| ~ spl3_100
| ~ spl3_107 ),
inference(forward_demodulation,[],[f825,f3452]) ).
fof(f3452,plain,
( e1 = op(e0,e1)
| ~ spl3_85
| ~ spl3_100 ),
inference(superposition,[],[f675,f770]) ).
fof(f3455,plain,
( spl3_79
| spl3_1
| spl3_2
| spl3_3
| ~ spl3_72
| ~ spl3_78
| ~ spl3_109 ),
inference(avatar_split_clause,[],[f3368,f831,f642,f615,f279,f274,f269,f647]) ).
fof(f3368,plain,
( e0 = e3
| e0 = e2
| e0 = e1
| e0 = op(e3,e3)
| ~ spl3_72
| ~ spl3_78
| ~ spl3_109 ),
inference(forward_demodulation,[],[f3367,f833]) ).
fof(f3453,plain,
( spl3_79
| spl3_1
| spl3_3
| ~ spl3_72
| ~ spl3_109
| ~ spl3_125 ),
inference(avatar_split_clause,[],[f3430,f2759,f831,f615,f279,f269,f647]) ).
fof(f3430,plain,
( e0 = e3
| e0 = e1
| e0 = op(e3,e3)
| ~ spl3_72
| ~ spl3_109
| ~ spl3_125 ),
inference(forward_demodulation,[],[f3429,f833]) ).
fof(f3425,plain,
( spl3_124
| spl3_3
| spl3_2
| spl3_1
| ~ spl3_76
| ~ spl3_77
| ~ spl3_99 ),
inference(avatar_split_clause,[],[f3302,f764,f638,f633,f269,f274,f279,f2038]) ).
fof(f3302,plain,
( e0 = e1
| e0 = e2
| e0 = e3
| e0 = op(e2,e3)
| ~ spl3_76
| ~ spl3_77
| ~ spl3_99 ),
inference(forward_demodulation,[],[f3301,f766]) ).
fof(f3301,plain,
( e0 = e2
| e0 = e3
| e0 = op(e2,e3)
| e0 = op(e2,e0)
| ~ spl3_76
| ~ spl3_77 ),
inference(forward_demodulation,[],[f1627,f635]) ).
fof(f3419,plain,
( ~ spl3_109
| ~ spl3_80
| spl3_85 ),
inference(avatar_split_clause,[],[f1482,f674,f651,f831]) ).
fof(f1482,plain,
( e3 != op(e0,e3)
| ~ spl3_80
| spl3_85 ),
inference(superposition,[],[f676,f653]) ).
fof(f3409,plain,
( spl3_80
| spl3_3
| spl3_6
| spl3_5
| ~ spl3_63
| ~ spl3_90
| ~ spl3_99 ),
inference(avatar_split_clause,[],[f3298,f764,f700,f575,f289,f294,f279,f651]) ).
fof(f3298,plain,
( e1 = e3
| e2 = e3
| e0 = e3
| e3 = op(e3,e0)
| ~ spl3_63
| ~ spl3_90
| ~ spl3_99 ),
inference(forward_demodulation,[],[f3257,f766]) ).
fof(f3257,plain,
( e2 = e3
| e0 = e3
| e3 = op(e3,e0)
| e3 = op(e2,e0)
| ~ spl3_63
| ~ spl3_90 ),
inference(forward_demodulation,[],[f2215,f576]) ).
fof(f3402,plain,
( spl3_126
| spl3_4
| spl3_6
| spl3_2
| ~ spl3_71
| ~ spl3_72
| ~ spl3_90 ),
inference(avatar_split_clause,[],[f2227,f700,f615,f611,f274,f294,f284,f3399]) ).
fof(f2227,plain,
( e0 = e2
| e2 = e3
| e1 = e2
| e2 = op(e1,e2)
| ~ spl3_71
| ~ spl3_72
| ~ spl3_90 ),
inference(forward_demodulation,[],[f2226,f702]) ).
fof(f2226,plain,
( e2 = e3
| e1 = e2
| e2 = op(e1,e2)
| e2 = op(e1,e0)
| ~ spl3_71
| ~ spl3_72 ),
inference(forward_demodulation,[],[f1435,f612]) ).
fof(f3391,plain,
( spl3_6
| spl3_4
| spl3_2
| ~ spl3_70
| ~ spl3_71
| ~ spl3_72
| ~ spl3_90 ),
inference(avatar_split_clause,[],[f3376,f700,f615,f611,f606,f274,f284,f294]) ).
fof(f3376,plain,
( e0 = e2
| e1 = e2
| e2 = e3
| ~ spl3_70
| ~ spl3_71
| ~ spl3_72
| ~ spl3_90 ),
inference(forward_demodulation,[],[f3375,f702]) ).
fof(f3375,plain,
( e1 = e2
| e2 = e3
| e2 = op(e1,e0)
| ~ spl3_70
| ~ spl3_71
| ~ spl3_72 ),
inference(duplicate_literal_removal,[],[f3374]) ).
fof(f3374,plain,
( e1 = e2
| e2 = e3
| e1 = e2
| e2 = op(e1,e0)
| ~ spl3_70
| ~ spl3_71
| ~ spl3_72 ),
inference(forward_demodulation,[],[f2226,f608]) ).
fof(f3362,plain,
( spl3_79
| spl3_2
| spl3_3
| ~ spl3_78
| ~ spl3_109
| ~ spl3_119 ),
inference(avatar_split_clause,[],[f3278,f1247,f831,f642,f279,f274,f647]) ).
fof(f3278,plain,
( e0 = e3
| e0 = e2
| e0 = op(e3,e3)
| ~ spl3_78
| ~ spl3_109
| ~ spl3_119 ),
inference(duplicate_literal_removal,[],[f3277]) ).
fof(f3277,plain,
( e0 = e3
| e0 = e3
| e0 = e2
| e0 = op(e3,e3)
| ~ spl3_78
| ~ spl3_109
| ~ spl3_119 ),
inference(forward_demodulation,[],[f3276,f833]) ).
fof(f3276,plain,
( e0 = e3
| e0 = e2
| e0 = op(e3,e3)
| e0 = op(e0,e3)
| ~ spl3_78
| ~ spl3_119 ),
inference(forward_demodulation,[],[f1406,f1249]) ).
fof(f3360,plain,
( spl3_3
| spl3_5
| spl3_6
| ~ spl3_69
| ~ spl3_76
| ~ spl3_93
| ~ spl3_102 ),
inference(avatar_split_clause,[],[f3300,f782,f717,f633,f602,f294,f289,f279]) ).
fof(f3300,plain,
( e2 = e3
| e1 = e3
| e0 = e3
| ~ spl3_69
| ~ spl3_76
| ~ spl3_93
| ~ spl3_102 ),
inference(duplicate_literal_removal,[],[f3299]) ).
fof(f3299,plain,
( e2 = e3
| e1 = e3
| e0 = e3
| e2 = e3
| ~ spl3_69
| ~ spl3_76
| ~ spl3_93
| ~ spl3_102 ),
inference(forward_demodulation,[],[f3174,f603]) ).
fof(f3358,plain,
( ~ spl3_74
| spl3_43
| ~ spl3_76 ),
inference(avatar_split_clause,[],[f1661,f633,f479,f624]) ).
fof(f479,plain,
( spl3_43
<=> op(e2,e0) = op(e2,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_43])]) ).
fof(f1661,plain,
( e2 != op(e2,e0)
| spl3_43
| ~ spl3_76 ),
inference(superposition,[],[f481,f635]) ).
fof(f481,plain,
( op(e2,e0) != op(e2,e1)
| spl3_43 ),
inference(avatar_component_clause,[],[f479]) ).
fof(f3296,plain,
( spl3_2
| ~ spl3_78
| ~ spl3_124 ),
inference(avatar_split_clause,[],[f3279,f2038,f642,f274]) ).
fof(f3279,plain,
( e0 = e2
| ~ spl3_78
| ~ spl3_124 ),
inference(forward_demodulation,[],[f644,f2040]) ).
fof(f3246,plain,
( spl3_5
| spl3_3
| spl3_6
| ~ spl3_63
| ~ spl3_74
| ~ spl3_90
| ~ spl3_100 ),
inference(avatar_split_clause,[],[f3218,f768,f700,f624,f575,f294,f279,f289]) ).
fof(f3218,plain,
( e2 = e3
| e0 = e3
| e1 = e3
| ~ spl3_63
| ~ spl3_74
| ~ spl3_90
| ~ spl3_100 ),
inference(duplicate_literal_removal,[],[f3217]) ).
fof(f3217,plain,
( e2 = e3
| e0 = e3
| e2 = e3
| e1 = e3
| ~ spl3_63
| ~ spl3_74
| ~ spl3_90
| ~ spl3_100 ),
inference(forward_demodulation,[],[f3216,f576]) ).
fof(f3216,plain,
( e0 = e3
| e2 = e3
| e1 = e3
| op(e0,e0) = e3
| ~ spl3_74
| ~ spl3_90
| ~ spl3_100 ),
inference(forward_demodulation,[],[f2767,f702]) ).
fof(f2767,plain,
( e2 = e3
| e1 = e3
| e3 = op(e1,e0)
| op(e0,e0) = e3
| ~ spl3_74
| ~ spl3_100 ),
inference(forward_demodulation,[],[f1009,f626]) ).
fof(f3203,plain,
( spl3_79
| spl3_2
| spl3_3
| ~ spl3_78
| ~ spl3_109
| ~ spl3_123 ),
inference(avatar_split_clause,[],[f3153,f1981,f831,f642,f279,f274,f647]) ).
fof(f3153,plain,
( e0 = e3
| e0 = e2
| e0 = op(e3,e3)
| ~ spl3_78
| ~ spl3_109
| ~ spl3_123 ),
inference(forward_demodulation,[],[f3152,f833]) ).
fof(f3152,plain,
( e0 = e2
| e0 = op(e3,e3)
| e0 = op(e0,e3)
| ~ spl3_78
| ~ spl3_123 ),
inference(duplicate_literal_removal,[],[f3151]) ).
fof(f3151,plain,
( e0 = e2
| e0 = e2
| e0 = op(e3,e3)
| e0 = op(e0,e3)
| ~ spl3_78
| ~ spl3_123 ),
inference(forward_demodulation,[],[f1406,f1983]) ).
fof(f3200,plain,
( spl3_5
| spl3_3
| spl3_6
| ~ spl3_63
| ~ spl3_90
| ~ spl3_91
| ~ spl3_100 ),
inference(avatar_split_clause,[],[f3164,f768,f704,f700,f575,f294,f279,f289]) ).
fof(f3164,plain,
( e2 = e3
| e0 = e3
| e1 = e3
| ~ spl3_63
| ~ spl3_90
| ~ spl3_91
| ~ spl3_100 ),
inference(forward_demodulation,[],[f3163,f576]) ).
fof(f3163,plain,
( e0 = e3
| e1 = e3
| op(e0,e0) = e3
| ~ spl3_90
| ~ spl3_91
| ~ spl3_100 ),
inference(duplicate_literal_removal,[],[f3162]) ).
fof(f3162,plain,
( e0 = e3
| e0 = e3
| e1 = e3
| op(e0,e0) = e3
| ~ spl3_90
| ~ spl3_91
| ~ spl3_100 ),
inference(forward_demodulation,[],[f1010,f702]) ).
fof(f3198,plain,
( ~ spl3_97
| spl3_48
| ~ spl3_78 ),
inference(avatar_split_clause,[],[f1366,f642,f504,f745]) ).
fof(f504,plain,
( spl3_48
<=> op(e2,e2) = op(e2,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_48])]) ).
fof(f1366,plain,
( e2 != op(e2,e2)
| spl3_48
| ~ spl3_78 ),
inference(superposition,[],[f506,f644]) ).
fof(f506,plain,
( op(e2,e2) != op(e2,e3)
| spl3_48 ),
inference(avatar_component_clause,[],[f504]) ).
fof(f3148,plain,
( spl3_97
| ~ spl3_78
| ~ spl3_83
| ~ spl3_98 ),
inference(avatar_split_clause,[],[f3139,f749,f665,f642,f745]) ).
fof(f3139,plain,
( e2 = op(e2,e2)
| ~ spl3_78
| ~ spl3_83
| ~ spl3_98 ),
inference(forward_demodulation,[],[f644,f3077]) ).
fof(f3117,plain,
( spl3_99
| spl3_125
| spl3_4
| ~ spl3_76
| ~ spl3_97 ),
inference(avatar_split_clause,[],[f3037,f745,f633,f284,f2759,f764]) ).
fof(f3037,plain,
( e1 = e2
| e1 = op(e2,e3)
| e1 = op(e2,e0)
| ~ spl3_76
| ~ spl3_97 ),
inference(duplicate_literal_removal,[],[f3036]) ).
fof(f3036,plain,
( e1 = e2
| e1 = e2
| e1 = op(e2,e3)
| e1 = op(e2,e0)
| ~ spl3_76
| ~ spl3_97 ),
inference(forward_demodulation,[],[f1665,f747]) ).
fof(f1665,plain,
( e1 = e2
| e1 = op(e2,e3)
| e1 = op(e2,e2)
| e1 = op(e2,e0)
| ~ spl3_76 ),
inference(forward_demodulation,[],[f133,f635]) ).
fof(f3099,plain,
( spl3_91
| spl3_124
| spl3_2
| ~ spl3_76
| ~ spl3_97 ),
inference(avatar_split_clause,[],[f2490,f745,f633,f274,f2038,f704]) ).
fof(f2490,plain,
( e0 = e2
| e0 = op(e2,e3)
| e0 = op(e2,e0)
| ~ spl3_76
| ~ spl3_97 ),
inference(duplicate_literal_removal,[],[f2489]) ).
fof(f2489,plain,
( e0 = e2
| e0 = e2
| e0 = op(e2,e3)
| e0 = op(e2,e0)
| ~ spl3_76
| ~ spl3_97 ),
inference(forward_demodulation,[],[f1666,f747]) ).
fof(f3068,plain,
( spl3_5
| ~ spl3_84
| ~ spl3_122 ),
inference(avatar_split_clause,[],[f3066,f1828,f669,f289]) ).
fof(f3066,plain,
( e1 = e3
| ~ spl3_84
| ~ spl3_122 ),
inference(forward_demodulation,[],[f671,f1830]) ).
fof(f3064,plain,
( spl3_83
| spl3_2
| spl3_4
| ~ spl3_100
| ~ spl3_102
| ~ spl3_122 ),
inference(avatar_split_clause,[],[f2845,f1828,f782,f768,f284,f274,f665]) ).
fof(f2845,plain,
( e1 = e2
| e0 = e2
| e2 = op(e3,e3)
| ~ spl3_100
| ~ spl3_102
| ~ spl3_122 ),
inference(duplicate_literal_removal,[],[f2844]) ).
fof(f2844,plain,
( e1 = e2
| e1 = e2
| e0 = e2
| e2 = op(e3,e3)
| ~ spl3_100
| ~ spl3_102
| ~ spl3_122 ),
inference(forward_demodulation,[],[f2693,f1830]) ).
fof(f2693,plain,
( e1 = e2
| e0 = e2
| e2 = op(e3,e3)
| e2 = op(e3,e2)
| ~ spl3_100
| ~ spl3_102 ),
inference(forward_demodulation,[],[f2692,f770]) ).
fof(f3025,plain,
( spl3_6
| ~ spl3_105
| ~ spl3_109 ),
inference(avatar_split_clause,[],[f2853,f831,f803,f294]) ).
fof(f2853,plain,
( e2 = e3
| ~ spl3_105
| ~ spl3_109 ),
inference(superposition,[],[f805,f833]) ).
fof(f2969,plain,
( spl3_1
| ~ spl3_75
| ~ spl3_105
| ~ spl3_109
| ~ spl3_124 ),
inference(avatar_split_clause,[],[f2968,f2038,f831,f803,f629,f269]) ).
fof(f2968,plain,
( e0 = e1
| ~ spl3_75
| ~ spl3_105
| ~ spl3_109
| ~ spl3_124 ),
inference(forward_demodulation,[],[f630,f2914]) ).
fof(f2914,plain,
( e0 = op(e2,e2)
| ~ spl3_105
| ~ spl3_109
| ~ spl3_124 ),
inference(forward_demodulation,[],[f2040,f2853]) ).
fof(f2952,plain,
( spl3_2
| ~ spl3_78
| ~ spl3_105
| ~ spl3_109
| ~ spl3_124 ),
inference(avatar_split_clause,[],[f2937,f2038,f831,f803,f642,f274]) ).
fof(f2937,plain,
( e0 = e2
| ~ spl3_78
| ~ spl3_105
| ~ spl3_109
| ~ spl3_124 ),
inference(forward_demodulation,[],[f2936,f2914]) ).
fof(f2936,plain,
( e2 = op(e2,e2)
| ~ spl3_78
| ~ spl3_105
| ~ spl3_109 ),
inference(forward_demodulation,[],[f644,f2853]) ).
fof(f2929,plain,
( spl3_2
| ~ spl3_97
| ~ spl3_105
| ~ spl3_109
| ~ spl3_124 ),
inference(avatar_split_clause,[],[f2928,f2038,f831,f803,f745,f274]) ).
fof(f2928,plain,
( e0 = e2
| ~ spl3_97
| ~ spl3_105
| ~ spl3_109
| ~ spl3_124 ),
inference(forward_demodulation,[],[f747,f2914]) ).
fof(f2873,plain,
( spl3_79
| spl3_1
| spl3_2
| spl3_3
| ~ spl3_109
| ~ spl3_123
| ~ spl3_125 ),
inference(avatar_split_clause,[],[f2848,f2759,f1981,f831,f279,f274,f269,f647]) ).
fof(f2848,plain,
( e0 = e3
| e0 = e2
| e0 = e1
| e0 = op(e3,e3)
| ~ spl3_109
| ~ spl3_123
| ~ spl3_125 ),
inference(forward_demodulation,[],[f2847,f833]) ).
fof(f2847,plain,
( e0 = e2
| e0 = e1
| e0 = op(e3,e3)
| e0 = op(e0,e3)
| ~ spl3_123
| ~ spl3_125 ),
inference(forward_demodulation,[],[f2846,f1983]) ).
fof(f2860,plain,
( spl3_96
| spl3_4
| spl3_1
| ~ spl3_62
| ~ spl3_76
| ~ spl3_102 ),
inference(avatar_split_clause,[],[f2841,f782,f633,f570,f269,f284,f741]) ).
fof(f2841,plain,
( e0 = e1
| e1 = e2
| e1 = op(e1,e1)
| ~ spl3_62
| ~ spl3_76
| ~ spl3_102 ),
inference(duplicate_literal_removal,[],[f2840]) ).
fof(f2840,plain,
( e0 = e1
| e0 = e1
| e1 = e2
| e1 = op(e1,e1)
| ~ spl3_62
| ~ spl3_76
| ~ spl3_102 ),
inference(forward_demodulation,[],[f2815,f572]) ).
fof(f2815,plain,
( e0 = e1
| e1 = e2
| e1 = op(e1,e1)
| e1 = op(e0,e1)
| ~ spl3_76
| ~ spl3_102 ),
inference(forward_demodulation,[],[f1686,f784]) ).
fof(f1686,plain,
( e1 = e2
| e1 = op(e3,e1)
| e1 = op(e1,e1)
| e1 = op(e0,e1)
| ~ spl3_76 ),
inference(forward_demodulation,[],[f126,f635]) ).
fof(f2834,plain,
( spl3_103
| ~ spl3_105
| ~ spl3_120
| ~ spl3_125 ),
inference(avatar_split_clause,[],[f2824,f2759,f1300,f803,f795]) ).
fof(f2824,plain,
( e2 = op(e0,e1)
| ~ spl3_105
| ~ spl3_120
| ~ spl3_125 ),
inference(forward_demodulation,[],[f805,f2795]) ).
fof(f2795,plain,
( e1 = e3
| ~ spl3_120
| ~ spl3_125 ),
inference(superposition,[],[f2760,f1302]) ).
fof(f2805,plain,
( spl3_2
| ~ spl3_64
| ~ spl3_104 ),
inference(avatar_split_clause,[],[f2785,f799,f579,f274]) ).
fof(f2785,plain,
( e0 = e2
| ~ spl3_64
| ~ spl3_104 ),
inference(superposition,[],[f581,f801]) ).
fof(f2780,plain,
( spl3_3
| ~ spl3_66
| ~ spl3_109 ),
inference(avatar_split_clause,[],[f2778,f831,f588,f279]) ).
fof(f2778,plain,
( e0 = e3
| ~ spl3_66
| ~ spl3_109 ),
inference(forward_demodulation,[],[f833,f590]) ).
fof(f2764,plain,
( spl3_125
| spl3_1
| spl3_4
| ~ spl3_73
| ~ spl3_74
| ~ spl3_76 ),
inference(avatar_split_clause,[],[f1930,f633,f624,f620,f284,f269,f2759]) ).
fof(f1930,plain,
( e1 = e2
| e0 = e1
| e1 = op(e2,e3)
| ~ spl3_73
| ~ spl3_74
| ~ spl3_76 ),
inference(duplicate_literal_removal,[],[f1929]) ).
fof(f1929,plain,
( e1 = e2
| e0 = e1
| e1 = e2
| e1 = op(e2,e3)
| ~ spl3_73
| ~ spl3_74
| ~ spl3_76 ),
inference(forward_demodulation,[],[f1928,f626]) ).
fof(f1928,plain,
( e0 = e1
| e1 = e2
| e1 = op(e2,e3)
| e1 = op(e2,e0)
| ~ spl3_73
| ~ spl3_76 ),
inference(forward_demodulation,[],[f1665,f621]) ).
fof(f2762,plain,
( ~ spl3_125
| ~ spl3_65
| ~ spl3_73 ),
inference(avatar_split_clause,[],[f2739,f620,f584,f2759]) ).
fof(f2739,plain,
( e1 != op(e2,e3)
| ~ spl3_65
| ~ spl3_73 ),
inference(trivial_inequality_removal,[],[f2738]) ).
fof(f2738,plain,
( e3 != e3
| e1 != op(e2,e3)
| ~ spl3_65
| ~ spl3_73 ),
inference(forward_demodulation,[],[f2737,f585]) ).
fof(f2737,plain,
( e1 != op(e2,e3)
| op(e0,e0) != e3
| ~ spl3_73 ),
inference(trivial_inequality_removal,[],[f2736]) ).
fof(f2736,plain,
( e0 != e0
| e1 != op(e2,e3)
| op(e0,e0) != e3
| ~ spl3_73 ),
inference(forward_demodulation,[],[f255,f621]) ).
fof(f255,plain,
( e1 != op(e2,e3)
| e0 != op(e2,e2)
| op(e0,e0) != e3 ),
inference(inner_rewriting,[],[f254]) ).
fof(f254,plain,
( e1 != op(e2,op(e0,e0))
| e0 != op(e2,e2)
| op(e0,e0) != e3 ),
inference(inner_rewriting,[],[f213]) ).
fof(f213,plain,
( e1 != op(e2,op(op(e2,e2),op(e2,e2)))
| e0 != op(e2,e2)
| e3 != op(op(e2,e2),op(e2,e2)) ),
inference(cnf_transformation,[],[f47]) ).
fof(f47,plain,
( e1 != op(e2,op(op(e2,e2),op(e2,e2)))
| e0 != op(e2,e2)
| e3 != op(op(e2,e2),op(e2,e2)) ),
inference(ennf_transformation,[],[f24]) ).
fof(f24,axiom,
~ ( e1 = op(e2,op(op(e2,e2),op(e2,e2)))
& e0 = op(e2,e2)
& e3 = op(op(e2,e2),op(e2,e2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax24) ).
fof(f2727,plain,
( spl3_1
| ~ spl3_73
| ~ spl3_75 ),
inference(avatar_split_clause,[],[f1886,f629,f620,f269]) ).
fof(f1886,plain,
( e0 = e1
| ~ spl3_73
| ~ spl3_75 ),
inference(superposition,[],[f621,f630]) ).
fof(f2687,plain,
( spl3_112
| spl3_83
| spl3_2
| ~ spl3_102
| ~ spl3_116 ),
inference(avatar_split_clause,[],[f2674,f1173,f782,f274,f665,f992]) ).
fof(f2674,plain,
( e0 = e2
| e2 = op(e3,e3)
| e2 = op(e3,e0)
| ~ spl3_102
| ~ spl3_116 ),
inference(duplicate_literal_removal,[],[f2673]) ).
fof(f2673,plain,
( e0 = e2
| e0 = e2
| e2 = op(e3,e3)
| e2 = op(e3,e0)
| ~ spl3_102
| ~ spl3_116 ),
inference(forward_demodulation,[],[f1418,f784]) ).
fof(f1418,plain,
( e0 = e2
| e2 = op(e3,e3)
| e2 = op(e3,e1)
| e2 = op(e3,e0)
| ~ spl3_116 ),
inference(forward_demodulation,[],[f143,f1175]) ).
fof(f2670,plain,
( spl3_124
| spl3_2
| spl3_1
| ~ spl3_75
| ~ spl3_76
| ~ spl3_99 ),
inference(avatar_split_clause,[],[f2121,f764,f633,f629,f269,f274,f2038]) ).
fof(f2121,plain,
( e0 = e1
| e0 = e2
| e0 = op(e2,e3)
| ~ spl3_75
| ~ spl3_76
| ~ spl3_99 ),
inference(duplicate_literal_removal,[],[f2120]) ).
fof(f2120,plain,
( e0 = e1
| e0 = e1
| e0 = e2
| e0 = op(e2,e3)
| ~ spl3_75
| ~ spl3_76
| ~ spl3_99 ),
inference(forward_demodulation,[],[f2119,f766]) ).
fof(f2653,plain,
( spl3_5
| ~ spl3_75
| ~ spl3_77 ),
inference(avatar_split_clause,[],[f2644,f638,f629,f289]) ).
fof(f2644,plain,
( e1 = e3
| ~ spl3_75
| ~ spl3_77 ),
inference(superposition,[],[f630,f639]) ).
fof(f2627,plain,
( spl3_1
| ~ spl3_116
| ~ spl3_122 ),
inference(avatar_split_clause,[],[f2571,f1828,f1173,f269]) ).
fof(f2571,plain,
( e0 = e1
| ~ spl3_116
| ~ spl3_122 ),
inference(superposition,[],[f1830,f1175]) ).
fof(f2599,plain,
( spl3_73
| spl3_75
| spl3_97
| spl3_77 ),
inference(avatar_split_clause,[],[f157,f638,f745,f629,f620]) ).
fof(f157,plain,
( e3 = op(e2,e2)
| e2 = op(e2,e2)
| e1 = op(e2,e2)
| e0 = op(e2,e2) ),
inference(cnf_transformation,[],[f1]) ).
fof(f2588,plain,
( spl3_77
| spl3_120
| spl3_6
| spl3_5
| ~ spl3_76
| ~ spl3_99 ),
inference(avatar_split_clause,[],[f2149,f764,f633,f289,f294,f1300,f638]) ).
fof(f2149,plain,
( e1 = e3
| e2 = e3
| e3 = op(e2,e3)
| e3 = op(e2,e2)
| ~ spl3_76
| ~ spl3_99 ),
inference(forward_demodulation,[],[f1667,f766]) ).
fof(f2580,plain,
( spl3_107
| spl3_6
| spl3_3
| spl3_5
| ~ spl3_76
| ~ spl3_96
| ~ spl3_102 ),
inference(avatar_split_clause,[],[f2534,f782,f741,f633,f289,f279,f294,f823]) ).
fof(f2534,plain,
( e1 = e3
| e0 = e3
| e2 = e3
| e3 = op(e0,e1)
| ~ spl3_76
| ~ spl3_96
| ~ spl3_102 ),
inference(forward_demodulation,[],[f2533,f743]) ).
fof(f2533,plain,
( e0 = e3
| e2 = e3
| e3 = op(e1,e1)
| e3 = op(e0,e1)
| ~ spl3_76
| ~ spl3_102 ),
inference(forward_demodulation,[],[f2354,f784]) ).
fof(f2530,plain,
( spl3_3
| ~ spl3_82
| ~ spl3_102 ),
inference(avatar_split_clause,[],[f2529,f782,f660,f279]) ).
fof(f2529,plain,
( e0 = e3
| ~ spl3_82
| ~ spl3_102 ),
inference(forward_demodulation,[],[f662,f784]) ).
fof(f2527,plain,
( spl3_71
| spl3_82
| spl3_6
| ~ spl3_76
| ~ spl3_103 ),
inference(avatar_split_clause,[],[f2356,f795,f633,f294,f660,f611]) ).
fof(f2356,plain,
( e2 = e3
| e3 = op(e3,e1)
| e3 = op(e1,e1)
| ~ spl3_76
| ~ spl3_103 ),
inference(duplicate_literal_removal,[],[f2355]) ).
fof(f2355,plain,
( e2 = e3
| e2 = e3
| e3 = op(e3,e1)
| e3 = op(e1,e1)
| ~ spl3_76
| ~ spl3_103 ),
inference(forward_demodulation,[],[f2354,f797]) ).
fof(f2519,plain,
( spl3_96
| spl3_114
| spl3_4
| ~ spl3_76
| ~ spl3_103 ),
inference(avatar_split_clause,[],[f2353,f795,f633,f284,f1126,f741]) ).
fof(f2353,plain,
( e1 = e2
| e1 = op(e3,e1)
| e1 = op(e1,e1)
| ~ spl3_76
| ~ spl3_103 ),
inference(duplicate_literal_removal,[],[f2352]) ).
fof(f2352,plain,
( e1 = e2
| e1 = e2
| e1 = op(e3,e1)
| e1 = op(e1,e1)
| ~ spl3_76
| ~ spl3_103 ),
inference(forward_demodulation,[],[f1686,f797]) ).
fof(f2510,plain,
( spl3_67
| spl3_102
| spl3_2
| ~ spl3_76
| ~ spl3_103 ),
inference(avatar_split_clause,[],[f2068,f795,f633,f274,f782,f593]) ).
fof(f2068,plain,
( e0 = e2
| e0 = op(e3,e1)
| e0 = op(e1,e1)
| ~ spl3_76
| ~ spl3_103 ),
inference(duplicate_literal_removal,[],[f2067]) ).
fof(f2067,plain,
( e0 = e2
| e0 = e2
| e0 = op(e3,e1)
| e0 = op(e1,e1)
| ~ spl3_76
| ~ spl3_103 ),
inference(forward_demodulation,[],[f980,f635]) ).
fof(f2503,plain,
( spl3_124
| spl3_2
| spl3_1
| ~ spl3_76
| ~ spl3_97
| ~ spl3_99 ),
inference(avatar_split_clause,[],[f2491,f764,f745,f633,f269,f274,f2038]) ).
fof(f2491,plain,
( e0 = e1
| e0 = e2
| e0 = op(e2,e3)
| ~ spl3_76
| ~ spl3_97
| ~ spl3_99 ),
inference(forward_demodulation,[],[f2490,f766]) ).
fof(f2488,plain,
( spl3_1
| spl3_2
| ~ spl3_60
| ~ spl3_65
| ~ spl3_66
| ~ spl3_76
| ~ spl3_97
| ~ spl3_99 ),
inference(avatar_split_clause,[],[f2466,f764,f745,f633,f588,f584,f561,f274,f269]) ).
fof(f2466,plain,
( e0 = e2
| e0 = e1
| ~ spl3_60
| ~ spl3_65
| ~ spl3_66
| ~ spl3_76
| ~ spl3_97
| ~ spl3_99 ),
inference(duplicate_literal_removal,[],[f2465]) ).
fof(f2465,plain,
( e0 = e2
| e0 = e1
| e0 = e2
| ~ spl3_60
| ~ spl3_65
| ~ spl3_66
| ~ spl3_76
| ~ spl3_97
| ~ spl3_99 ),
inference(forward_demodulation,[],[f2464,f2437]) ).
fof(f2464,plain,
( e2 = e3
| e0 = e1
| e0 = e2
| ~ spl3_60
| ~ spl3_65
| ~ spl3_66
| ~ spl3_76
| ~ spl3_97
| ~ spl3_99 ),
inference(forward_demodulation,[],[f2463,f747]) ).
fof(f2463,plain,
( e0 = e1
| e0 = e2
| e3 = op(e2,e2)
| ~ spl3_60
| ~ spl3_65
| ~ spl3_66
| ~ spl3_76
| ~ spl3_99 ),
inference(duplicate_literal_removal,[],[f2462]) ).
fof(f2462,plain,
( e0 = e1
| e0 = e2
| e0 = e1
| e3 = op(e2,e2)
| ~ spl3_60
| ~ spl3_65
| ~ spl3_66
| ~ spl3_76
| ~ spl3_99 ),
inference(forward_demodulation,[],[f2461,f766]) ).
fof(f2461,plain,
( e0 = op(e2,e0)
| e0 = e2
| e0 = e1
| e3 = op(e2,e2)
| ~ spl3_60
| ~ spl3_65
| ~ spl3_66
| ~ spl3_76
| ~ spl3_99 ),
inference(forward_demodulation,[],[f2460,f2437]) ).
fof(f2460,plain,
( e0 = e2
| e0 = e1
| e3 = op(e2,e3)
| e3 = op(e2,e2)
| ~ spl3_60
| ~ spl3_65
| ~ spl3_66
| ~ spl3_76
| ~ spl3_99 ),
inference(forward_demodulation,[],[f2459,f2437]) ).
fof(f2459,plain,
( e0 = e1
| e2 = e3
| e3 = op(e2,e3)
| e3 = op(e2,e2)
| ~ spl3_60
| ~ spl3_65
| ~ spl3_66
| ~ spl3_76
| ~ spl3_99 ),
inference(forward_demodulation,[],[f2149,f2437]) ).
fof(f2455,plain,
( spl3_81
| spl3_4
| spl3_1
| ~ spl3_66
| ~ spl3_123
| ~ spl3_124 ),
inference(avatar_split_clause,[],[f2403,f2038,f1981,f588,f269,f284,f656]) ).
fof(f2403,plain,
( e0 = e1
| e1 = e2
| e1 = op(e3,e3)
| ~ spl3_66
| ~ spl3_123
| ~ spl3_124 ),
inference(duplicate_literal_removal,[],[f2402]) ).
fof(f2402,plain,
( e0 = e1
| e1 = e2
| e0 = e1
| e1 = op(e3,e3)
| ~ spl3_66
| ~ spl3_123
| ~ spl3_124 ),
inference(forward_demodulation,[],[f2390,f590]) ).
fof(f2430,plain,
( spl3_5
| ~ spl3_94
| ~ spl3_108 ),
inference(avatar_split_clause,[],[f2417,f827,f721,f289]) ).
fof(f2417,plain,
( e1 = e3
| ~ spl3_94
| ~ spl3_108 ),
inference(superposition,[],[f723,f829]) ).
fof(f2401,plain,
( spl3_1
| ~ spl3_68
| ~ spl3_90 ),
inference(avatar_split_clause,[],[f2400,f700,f597,f269]) ).
fof(f2400,plain,
( e0 = e1
| ~ spl3_68
| ~ spl3_90 ),
inference(forward_demodulation,[],[f599,f702]) ).
fof(f2386,plain,
( spl3_4
| ~ spl3_100
| ~ spl3_112 ),
inference(avatar_split_clause,[],[f2385,f992,f768,f284]) ).
fof(f2385,plain,
( e1 = e2
| ~ spl3_100
| ~ spl3_112 ),
inference(forward_demodulation,[],[f994,f770]) ).
fof(f2373,plain,
( spl3_3
| ~ spl3_90
| ~ spl3_117 ),
inference(avatar_split_clause,[],[f2372,f1184,f700,f279]) ).
fof(f2372,plain,
( e0 = e3
| ~ spl3_90
| ~ spl3_117 ),
inference(forward_demodulation,[],[f1186,f702]) ).
fof(f2343,plain,
( spl3_99
| ~ spl3_74
| ~ spl3_100
| ~ spl3_118 ),
inference(avatar_split_clause,[],[f2283,f1188,f768,f624,f764]) ).
fof(f2283,plain,
( e1 = op(e2,e0)
| ~ spl3_74
| ~ spl3_100
| ~ spl3_118 ),
inference(forward_demodulation,[],[f770,f1230]) ).
fof(f1230,plain,
( e2 = e3
| ~ spl3_74
| ~ spl3_118 ),
inference(superposition,[],[f626,f1190]) ).
fof(f2334,plain,
( spl3_97
| ~ spl3_74
| ~ spl3_84
| ~ spl3_118 ),
inference(avatar_split_clause,[],[f2278,f1188,f669,f624,f745]) ).
fof(f2278,plain,
( e2 = op(e2,e2)
| ~ spl3_74
| ~ spl3_84
| ~ spl3_118 ),
inference(forward_demodulation,[],[f671,f1230]) ).
fof(f2269,plain,
( spl3_4
| ~ spl3_72
| ~ spl3_123 ),
inference(avatar_split_clause,[],[f2235,f1981,f615,f284]) ).
fof(f2235,plain,
( e1 = e2
| ~ spl3_72
| ~ spl3_123 ),
inference(forward_demodulation,[],[f1983,f617]) ).
fof(f2210,plain,
( spl3_2
| ~ spl3_90
| ~ spl3_113 ),
inference(avatar_split_clause,[],[f2080,f1004,f700,f274]) ).
fof(f2080,plain,
( e0 = e2
| ~ spl3_90
| ~ spl3_113 ),
inference(superposition,[],[f1006,f702]) ).
fof(f2169,plain,
( spl3_1
| ~ spl3_72
| ~ spl3_111 ),
inference(avatar_split_clause,[],[f2163,f895,f615,f269]) ).
fof(f2163,plain,
( e0 = e1
| ~ spl3_72
| ~ spl3_111 ),
inference(forward_demodulation,[],[f617,f897]) ).
fof(f2154,plain,
( spl3_71
| spl3_5
| spl3_6
| ~ spl3_76
| ~ spl3_103
| ~ spl3_114 ),
inference(avatar_split_clause,[],[f2070,f1126,f795,f633,f294,f289,f611]) ).
fof(f2070,plain,
( e2 = e3
| e1 = e3
| e3 = op(e1,e1)
| ~ spl3_76
| ~ spl3_103
| ~ spl3_114 ),
inference(duplicate_literal_removal,[],[f2069]) ).
fof(f2069,plain,
( e2 = e3
| e2 = e3
| e1 = e3
| e3 = op(e1,e1)
| ~ spl3_76
| ~ spl3_103
| ~ spl3_114 ),
inference(forward_demodulation,[],[f2012,f797]) ).
fof(f2012,plain,
( e2 = e3
| e1 = e3
| e3 = op(e1,e1)
| e3 = op(e0,e1)
| ~ spl3_76
| ~ spl3_114 ),
inference(forward_demodulation,[],[f1149,f635]) ).
fof(f2147,plain,
( spl3_116
| spl3_1
| spl3_3
| ~ spl3_75
| ~ spl3_106
| ~ spl3_108 ),
inference(avatar_split_clause,[],[f2054,f827,f816,f629,f279,f269,f1173]) ).
fof(f2054,plain,
( e0 = e3
| e0 = e1
| e0 = op(e3,e2)
| ~ spl3_75
| ~ spl3_106
| ~ spl3_108 ),
inference(duplicate_literal_removal,[],[f2053]) ).
fof(f2053,plain,
( e0 = e3
| e0 = e1
| e0 = e3
| e0 = op(e3,e2)
| ~ spl3_75
| ~ spl3_106
| ~ spl3_108 ),
inference(forward_demodulation,[],[f1867,f829]) ).
fof(f1867,plain,
( e0 = e1
| e0 = e3
| e0 = op(e3,e2)
| e0 = op(e0,e2)
| ~ spl3_75
| ~ spl3_106 ),
inference(forward_demodulation,[],[f1749,f630]) ).
fof(f1749,plain,
( e0 = e3
| e0 = op(e3,e2)
| e0 = op(e2,e2)
| e0 = op(e0,e2)
| ~ spl3_106 ),
inference(forward_demodulation,[],[f132,f817]) ).
fof(f2131,plain,
( spl3_3
| ~ spl3_64
| ~ spl3_108 ),
inference(avatar_split_clause,[],[f2126,f827,f579,f279]) ).
fof(f2126,plain,
( e0 = e3
| ~ spl3_64
| ~ spl3_108 ),
inference(superposition,[],[f581,f829]) ).
fof(f2111,plain,
( spl3_3
| spl3_5
| ~ spl3_75
| ~ spl3_76
| ~ spl3_90
| ~ spl3_95
| ~ spl3_99
| ~ spl3_113 ),
inference(avatar_split_clause,[],[f2102,f1004,f764,f725,f700,f633,f629,f289,f279]) ).
fof(f2102,plain,
( e1 = e3
| e0 = e3
| ~ spl3_75
| ~ spl3_76
| ~ spl3_90
| ~ spl3_95
| ~ spl3_99
| ~ spl3_113 ),
inference(duplicate_literal_removal,[],[f2101]) ).
fof(f2101,plain,
( e1 = e3
| e1 = e3
| e0 = e3
| ~ spl3_75
| ~ spl3_76
| ~ spl3_90
| ~ spl3_95
| ~ spl3_99
| ~ spl3_113 ),
inference(forward_demodulation,[],[f2100,f766]) ).
fof(f2100,plain,
( e1 = e3
| e0 = e3
| e3 = op(e2,e0)
| ~ spl3_75
| ~ spl3_76
| ~ spl3_90
| ~ spl3_95
| ~ spl3_113 ),
inference(duplicate_literal_removal,[],[f2099]) ).
fof(f2099,plain,
( e1 = e3
| e1 = e3
| e0 = e3
| e3 = op(e2,e0)
| ~ spl3_75
| ~ spl3_76
| ~ spl3_90
| ~ spl3_95
| ~ spl3_113 ),
inference(forward_demodulation,[],[f2098,f630]) ).
fof(f2098,plain,
( e1 = e3
| e0 = e3
| e3 = op(e2,e2)
| e3 = op(e2,e0)
| ~ spl3_76
| ~ spl3_90
| ~ spl3_95
| ~ spl3_113 ),
inference(forward_demodulation,[],[f2097,f727]) ).
fof(f2097,plain,
( e3 = op(e0,e3)
| e0 = e3
| e3 = op(e2,e2)
| e3 = op(e2,e0)
| ~ spl3_76
| ~ spl3_90
| ~ spl3_113 ),
inference(forward_demodulation,[],[f2096,f2080]) ).
fof(f2096,plain,
( e0 = e3
| e3 = op(e2,e3)
| e3 = op(e2,e2)
| e3 = op(e2,e0)
| ~ spl3_76
| ~ spl3_90
| ~ spl3_113 ),
inference(forward_demodulation,[],[f1667,f2080]) ).
fof(f2093,plain,
( spl3_3
| spl3_5
| ~ spl3_75
| ~ spl3_76
| ~ spl3_90
| ~ spl3_99
| ~ spl3_113
| ~ spl3_124 ),
inference(avatar_split_clause,[],[f2088,f2038,f1004,f764,f700,f633,f629,f289,f279]) ).
fof(f2088,plain,
( e1 = e3
| e0 = e3
| ~ spl3_75
| ~ spl3_76
| ~ spl3_90
| ~ spl3_99
| ~ spl3_113
| ~ spl3_124 ),
inference(duplicate_literal_removal,[],[f2087]) ).
fof(f2087,plain,
( e1 = e3
| e0 = e3
| e1 = e3
| ~ spl3_75
| ~ spl3_76
| ~ spl3_90
| ~ spl3_99
| ~ spl3_113
| ~ spl3_124 ),
inference(forward_demodulation,[],[f2086,f766]) ).
fof(f2086,plain,
( e0 = e3
| e1 = e3
| e3 = op(e2,e0)
| ~ spl3_75
| ~ spl3_76
| ~ spl3_90
| ~ spl3_113
| ~ spl3_124 ),
inference(duplicate_literal_removal,[],[f2085]) ).
fof(f2085,plain,
( e0 = e3
| e1 = e3
| e0 = e3
| e3 = op(e2,e0)
| ~ spl3_75
| ~ spl3_76
| ~ spl3_90
| ~ spl3_113
| ~ spl3_124 ),
inference(forward_demodulation,[],[f2062,f2080]) ).
fof(f2062,plain,
( e1 = e3
| e0 = e3
| e2 = e3
| e3 = op(e2,e0)
| ~ spl3_75
| ~ spl3_76
| ~ spl3_124 ),
inference(forward_demodulation,[],[f2061,f630]) ).
fof(f2061,plain,
( e0 = e3
| e2 = e3
| e3 = op(e2,e2)
| e3 = op(e2,e0)
| ~ spl3_76
| ~ spl3_124 ),
inference(forward_demodulation,[],[f1667,f2040]) ).
fof(f2084,plain,
( spl3_3
| spl3_6
| spl3_5
| ~ spl3_79
| ~ spl3_95
| ~ spl3_123
| ~ spl3_124 ),
inference(avatar_split_clause,[],[f2060,f2038,f1981,f725,f647,f289,f294,f279]) ).
fof(f2060,plain,
( e1 = e3
| e2 = e3
| e0 = e3
| ~ spl3_79
| ~ spl3_95
| ~ spl3_123
| ~ spl3_124 ),
inference(forward_demodulation,[],[f2059,f727]) ).
fof(f2059,plain,
( e2 = e3
| e0 = e3
| e3 = op(e0,e3)
| ~ spl3_79
| ~ spl3_123
| ~ spl3_124 ),
inference(forward_demodulation,[],[f2058,f1983]) ).
fof(f2058,plain,
( e0 = e3
| e3 = op(e1,e3)
| e3 = op(e0,e3)
| ~ spl3_79
| ~ spl3_124 ),
inference(duplicate_literal_removal,[],[f2057]) ).
fof(f2057,plain,
( e0 = e3
| e0 = e3
| e3 = op(e1,e3)
| e3 = op(e0,e3)
| ~ spl3_79
| ~ spl3_124 ),
inference(forward_demodulation,[],[f1668,f2040]) ).
fof(f1668,plain,
( e0 = e3
| e3 = op(e2,e3)
| e3 = op(e1,e3)
| e3 = op(e0,e3)
| ~ spl3_79 ),
inference(forward_demodulation,[],[f146,f648]) ).
fof(f2064,plain,
( spl3_5
| spl3_3
| spl3_6
| ~ spl3_67
| ~ spl3_76
| ~ spl3_103
| ~ spl3_114 ),
inference(avatar_split_clause,[],[f2052,f1126,f795,f633,f593,f294,f279,f289]) ).
fof(f2052,plain,
( e2 = e3
| e0 = e3
| e1 = e3
| ~ spl3_67
| ~ spl3_76
| ~ spl3_103
| ~ spl3_114 ),
inference(duplicate_literal_removal,[],[f2051]) ).
fof(f2051,plain,
( e2 = e3
| e0 = e3
| e2 = e3
| e1 = e3
| ~ spl3_67
| ~ spl3_76
| ~ spl3_103
| ~ spl3_114 ),
inference(forward_demodulation,[],[f2011,f797]) ).
fof(f2011,plain,
( e0 = e3
| e2 = e3
| e1 = e3
| e3 = op(e0,e1)
| ~ spl3_67
| ~ spl3_76
| ~ spl3_114 ),
inference(forward_demodulation,[],[f2010,f594]) ).
fof(f2010,plain,
( e2 = e3
| e1 = e3
| e3 = op(e1,e1)
| e3 = op(e0,e1)
| ~ spl3_76
| ~ spl3_114 ),
inference(forward_demodulation,[],[f2009,f635]) ).
fof(f2009,plain,
( e1 = e3
| e3 = op(e2,e1)
| e3 = op(e1,e1)
| e3 = op(e0,e1)
| ~ spl3_114 ),
inference(forward_demodulation,[],[f130,f1128]) ).
fof(f2050,plain,
( spl3_3
| ~ spl3_120
| ~ spl3_124 ),
inference(avatar_split_clause,[],[f2042,f2038,f1300,f279]) ).
fof(f2042,plain,
( e0 = e3
| ~ spl3_120
| ~ spl3_124 ),
inference(superposition,[],[f2040,f1302]) ).
fof(f2041,plain,
( spl3_73
| spl3_124
| spl3_2
| ~ spl3_74
| ~ spl3_76 ),
inference(avatar_split_clause,[],[f1994,f633,f624,f274,f2038,f620]) ).
fof(f1994,plain,
( e0 = e2
| e0 = op(e2,e3)
| e0 = op(e2,e2)
| ~ spl3_74
| ~ spl3_76 ),
inference(duplicate_literal_removal,[],[f1993]) ).
fof(f1993,plain,
( e0 = e2
| e0 = e2
| e0 = op(e2,e3)
| e0 = op(e2,e2)
| ~ spl3_74
| ~ spl3_76 ),
inference(forward_demodulation,[],[f1666,f626]) ).
fof(f2007,plain,
( spl3_4
| ~ spl3_95
| ~ spl3_105 ),
inference(avatar_split_clause,[],[f1995,f803,f725,f284]) ).
fof(f1995,plain,
( e1 = e2
| ~ spl3_95
| ~ spl3_105 ),
inference(forward_demodulation,[],[f805,f727]) ).
fof(f1988,plain,
( spl3_4
| ~ spl3_121
| ~ spl3_122 ),
inference(avatar_split_clause,[],[f1941,f1828,f1800,f284]) ).
fof(f1941,plain,
( e1 = e2
| ~ spl3_121
| ~ spl3_122 ),
inference(superposition,[],[f1830,f1802]) ).
fof(f1986,plain,
( spl3_2
| ~ spl3_111
| ~ spl3_123 ),
inference(avatar_split_clause,[],[f1985,f1981,f895,f274]) ).
fof(f1985,plain,
( e0 = e2
| ~ spl3_111
| ~ spl3_123 ),
inference(forward_demodulation,[],[f1983,f897]) ).
fof(f1984,plain,
( spl3_113
| spl3_69
| spl3_123
| spl3_6
| ~ spl3_106 ),
inference(avatar_split_clause,[],[f1878,f816,f294,f1981,f602,f1004]) ).
fof(f1878,plain,
( e2 = e3
| e2 = op(e1,e3)
| e2 = op(e1,e1)
| e2 = op(e1,e0)
| ~ spl3_106 ),
inference(forward_demodulation,[],[f127,f817]) ).
fof(f1964,plain,
( spl3_66
| ~ spl3_102
| ~ spl3_111
| ~ spl3_114 ),
inference(avatar_split_clause,[],[f1963,f1126,f895,f782,f588]) ).
fof(f1963,plain,
( e0 = op(e0,e3)
| ~ spl3_102
| ~ spl3_111
| ~ spl3_114 ),
inference(forward_demodulation,[],[f897,f1951]) ).
fof(f1960,plain,
( spl3_90
| spl3_67
| spl3_111
| spl3_3
| ~ spl3_106 ),
inference(avatar_split_clause,[],[f1780,f816,f279,f895,f593,f700]) ).
fof(f1780,plain,
( e0 = e3
| e0 = op(e1,e3)
| e0 = op(e1,e1)
| e0 = op(e1,e0)
| ~ spl3_106 ),
inference(forward_demodulation,[],[f123,f817]) ).
fof(f1950,plain,
( spl3_67
| spl3_102
| spl3_3
| spl3_2
| ~ spl3_76
| ~ spl3_107 ),
inference(avatar_split_clause,[],[f1696,f823,f633,f274,f279,f782,f593]) ).
fof(f1696,plain,
( e0 = e2
| e0 = e3
| e0 = op(e3,e1)
| e0 = op(e1,e1)
| ~ spl3_76
| ~ spl3_107 ),
inference(forward_demodulation,[],[f1628,f635]) ).
fof(f1927,plain,
( spl3_78
| spl3_2
| ~ spl3_73
| ~ spl3_75
| ~ spl3_79
| ~ spl3_95 ),
inference(avatar_split_clause,[],[f1918,f725,f647,f629,f620,f274,f642]) ).
fof(f1918,plain,
( e0 = e2
| e2 = op(e2,e3)
| ~ spl3_73
| ~ spl3_75
| ~ spl3_79
| ~ spl3_95 ),
inference(duplicate_literal_removal,[],[f1917]) ).
fof(f1917,plain,
( e0 = e2
| e0 = e2
| e2 = op(e2,e3)
| ~ spl3_73
| ~ spl3_75
| ~ spl3_79
| ~ spl3_95 ),
inference(forward_demodulation,[],[f1916,f1886]) ).
fof(f1916,plain,
( e1 = e2
| e0 = e2
| e2 = op(e2,e3)
| ~ spl3_73
| ~ spl3_75
| ~ spl3_79
| ~ spl3_95 ),
inference(forward_demodulation,[],[f1915,f727]) ).
fof(f1915,plain,
( e2 = op(e0,e3)
| e0 = e2
| e2 = op(e2,e3)
| ~ spl3_73
| ~ spl3_75
| ~ spl3_79
| ~ spl3_95 ),
inference(forward_demodulation,[],[f1914,f1886]) ).
fof(f1914,plain,
( e0 = e2
| e2 = op(e2,e3)
| e2 = op(e1,e3)
| ~ spl3_73
| ~ spl3_75
| ~ spl3_79
| ~ spl3_95 ),
inference(duplicate_literal_removal,[],[f1913]) ).
fof(f1913,plain,
( e0 = e2
| e0 = e2
| e2 = op(e2,e3)
| e2 = op(e1,e3)
| ~ spl3_73
| ~ spl3_75
| ~ spl3_79
| ~ spl3_95 ),
inference(forward_demodulation,[],[f1782,f1886]) ).
fof(f1782,plain,
( e1 = e2
| e0 = e2
| e2 = op(e2,e3)
| e2 = op(e1,e3)
| ~ spl3_79
| ~ spl3_95 ),
inference(forward_demodulation,[],[f1672,f727]) ).
fof(f1672,plain,
( e0 = e2
| e2 = op(e2,e3)
| e2 = op(e1,e3)
| e2 = op(e0,e3)
| ~ spl3_79 ),
inference(forward_demodulation,[],[f144,f648]) ).
fof(f1912,plain,
( spl3_78
| spl3_2
| spl3_4
| spl3_6
| ~ spl3_79
| ~ spl3_95
| ~ spl3_119 ),
inference(avatar_split_clause,[],[f1882,f1247,f725,f647,f294,f284,f274,f642]) ).
fof(f1882,plain,
( e2 = e3
| e1 = e2
| e0 = e2
| e2 = op(e2,e3)
| ~ spl3_79
| ~ spl3_95
| ~ spl3_119 ),
inference(forward_demodulation,[],[f1782,f1249]) ).
fof(f1881,plain,
( spl3_4
| ~ spl3_74
| ~ spl3_99 ),
inference(avatar_split_clause,[],[f1879,f764,f624,f284]) ).
fof(f1879,plain,
( e1 = e2
| ~ spl3_74
| ~ spl3_99 ),
inference(forward_demodulation,[],[f626,f766]) ).
fof(f1866,plain,
( spl3_3
| ~ spl3_106
| ~ spl3_110 ),
inference(avatar_split_clause,[],[f1807,f891,f816,f279]) ).
fof(f1807,plain,
( e0 = e3
| ~ spl3_106
| ~ spl3_110 ),
inference(superposition,[],[f893,f817]) ).
fof(f1841,plain,
( spl3_6
| ~ spl3_84
| ~ spl3_121 ),
inference(avatar_split_clause,[],[f1840,f1800,f669,f294]) ).
fof(f1840,plain,
( e2 = e3
| ~ spl3_84
| ~ spl3_121 ),
inference(forward_demodulation,[],[f671,f1802]) ).
fof(f1833,plain,
( spl3_94
| ~ spl3_106
| ~ spl3_110
| ~ spl3_122 ),
inference(avatar_split_clause,[],[f1832,f1828,f891,f816,f721]) ).
fof(f1832,plain,
( e1 = op(e0,e2)
| ~ spl3_106
| ~ spl3_110
| ~ spl3_122 ),
inference(forward_demodulation,[],[f1830,f1807]) ).
fof(f1831,plain,
( spl3_75
| spl3_122
| spl3_5
| spl3_4
| ~ spl3_104
| ~ spl3_106 ),
inference(avatar_split_clause,[],[f1744,f816,f799,f284,f289,f1828,f629]) ).
fof(f1744,plain,
( e1 = e2
| e1 = e3
| e1 = op(e3,e2)
| e1 = op(e2,e2)
| ~ spl3_104
| ~ spl3_106 ),
inference(forward_demodulation,[],[f1743,f801]) ).
fof(f1821,plain,
( spl3_99
| spl3_100
| spl3_1
| spl3_4
| ~ spl3_89
| ~ spl3_113 ),
inference(avatar_split_clause,[],[f1633,f1004,f694,f284,f269,f768,f764]) ).
fof(f1633,plain,
( e1 = e2
| e0 = e1
| e1 = op(e3,e0)
| e1 = op(e2,e0)
| ~ spl3_89
| ~ spl3_113 ),
inference(forward_demodulation,[],[f1140,f1006]) ).
fof(f1140,plain,
( e0 = e1
| e1 = op(e3,e0)
| e1 = op(e2,e0)
| e1 = op(e1,e0)
| ~ spl3_89 ),
inference(forward_demodulation,[],[f118,f696]) ).
fof(f1805,plain,
( spl3_5
| ~ spl3_80
| ~ spl3_100 ),
inference(avatar_split_clause,[],[f1792,f768,f651,f289]) ).
fof(f1792,plain,
( e1 = e3
| ~ spl3_80
| ~ spl3_100 ),
inference(superposition,[],[f770,f653]) ).
fof(f1803,plain,
( spl3_121
| spl3_2
| spl3_4
| spl3_6
| ~ spl3_79
| ~ spl3_80
| ~ spl3_114 ),
inference(avatar_split_clause,[],[f1748,f1126,f651,f647,f294,f284,f274,f1800]) ).
fof(f1748,plain,
( e2 = e3
| e1 = e2
| e0 = e2
| e2 = op(e3,e2)
| ~ spl3_79
| ~ spl3_80
| ~ spl3_114 ),
inference(forward_demodulation,[],[f1747,f653]) ).
fof(f1747,plain,
( e1 = e2
| e0 = e2
| e2 = op(e3,e2)
| e2 = op(e3,e0)
| ~ spl3_79
| ~ spl3_114 ),
inference(forward_demodulation,[],[f1746,f1128]) ).
fof(f1787,plain,
( spl3_100
| spl3_1
| spl3_4
| ~ spl3_74
| ~ spl3_89
| ~ spl3_113 ),
inference(avatar_split_clause,[],[f1752,f1004,f694,f624,f284,f269,f768]) ).
fof(f1752,plain,
( e1 = e2
| e0 = e1
| e1 = op(e3,e0)
| ~ spl3_74
| ~ spl3_89
| ~ spl3_113 ),
inference(duplicate_literal_removal,[],[f1751]) ).
fof(f1751,plain,
( e1 = e2
| e1 = e2
| e0 = e1
| e1 = op(e3,e0)
| ~ spl3_74
| ~ spl3_89
| ~ spl3_113 ),
inference(forward_demodulation,[],[f1269,f1006]) ).
fof(f1269,plain,
( e1 = e2
| e0 = e1
| e1 = op(e3,e0)
| e1 = op(e1,e0)
| ~ spl3_74
| ~ spl3_89 ),
inference(forward_demodulation,[],[f1140,f626]) ).
fof(f1778,plain,
( spl3_78
| spl3_2
| spl3_4
| ~ spl3_72
| ~ spl3_79
| ~ spl3_95 ),
inference(avatar_split_clause,[],[f1675,f725,f647,f615,f284,f274,f642]) ).
fof(f1675,plain,
( e1 = e2
| e0 = e2
| e2 = op(e2,e3)
| ~ spl3_72
| ~ spl3_79
| ~ spl3_95 ),
inference(duplicate_literal_removal,[],[f1674]) ).
fof(f1674,plain,
( e1 = e2
| e1 = e2
| e0 = e2
| e2 = op(e2,e3)
| ~ spl3_72
| ~ spl3_79
| ~ spl3_95 ),
inference(forward_demodulation,[],[f1673,f727]) ).
fof(f1673,plain,
( e1 = e2
| e0 = e2
| e2 = op(e2,e3)
| e2 = op(e0,e3)
| ~ spl3_72
| ~ spl3_79 ),
inference(forward_demodulation,[],[f1672,f617]) ).
fof(f1765,plain,
( spl3_120
| spl3_3
| spl3_5
| ~ spl3_72
| ~ spl3_79
| ~ spl3_95 ),
inference(avatar_split_clause,[],[f1671,f725,f647,f615,f289,f279,f1300]) ).
fof(f1671,plain,
( e1 = e3
| e0 = e3
| e3 = op(e2,e3)
| ~ spl3_72
| ~ spl3_79
| ~ spl3_95 ),
inference(duplicate_literal_removal,[],[f1670]) ).
fof(f1670,plain,
( e1 = e3
| e1 = e3
| e0 = e3
| e3 = op(e2,e3)
| ~ spl3_72
| ~ spl3_79
| ~ spl3_95 ),
inference(forward_demodulation,[],[f1669,f727]) ).
fof(f1669,plain,
( e1 = e3
| e0 = e3
| e3 = op(e2,e3)
| e3 = op(e0,e3)
| ~ spl3_72
| ~ spl3_79 ),
inference(forward_demodulation,[],[f1668,f617]) ).
fof(f1742,plain,
( spl3_4
| spl3_6
| spl3_2
| ~ spl3_79
| ~ spl3_80
| ~ spl3_114
| ~ spl3_116 ),
inference(avatar_split_clause,[],[f1730,f1173,f1126,f651,f647,f274,f294,f284]) ).
fof(f1730,plain,
( e0 = e2
| e2 = e3
| e1 = e2
| ~ spl3_79
| ~ spl3_80
| ~ spl3_114
| ~ spl3_116 ),
inference(duplicate_literal_removal,[],[f1729]) ).
fof(f1729,plain,
( e0 = e2
| e2 = e3
| e1 = e2
| e0 = e2
| ~ spl3_79
| ~ spl3_80
| ~ spl3_114
| ~ spl3_116 ),
inference(forward_demodulation,[],[f1451,f648]) ).
fof(f1451,plain,
( e2 = e3
| e1 = e2
| e0 = e2
| e2 = op(e3,e3)
| ~ spl3_80
| ~ spl3_114
| ~ spl3_116 ),
inference(forward_demodulation,[],[f1419,f653]) ).
fof(f1419,plain,
( e1 = e2
| e0 = e2
| e2 = op(e3,e3)
| e2 = op(e3,e0)
| ~ spl3_114
| ~ spl3_116 ),
inference(forward_demodulation,[],[f1418,f1128]) ).
fof(f1726,plain,
( spl3_93
| ~ spl3_80
| ~ spl3_92
| ~ spl3_114 ),
inference(avatar_split_clause,[],[f1725,f1126,f708,f651,f717]) ).
fof(f1725,plain,
( e1 = op(e0,e1)
| ~ spl3_80
| ~ spl3_92
| ~ spl3_114 ),
inference(forward_demodulation,[],[f1128,f1708]) ).
fof(f1720,plain,
( spl3_114
| spl3_1
| spl3_5
| ~ spl3_79
| ~ spl3_80
| ~ spl3_116 ),
inference(avatar_split_clause,[],[f1653,f1173,f651,f647,f289,f269,f1126]) ).
fof(f1653,plain,
( e1 = e3
| e0 = e1
| e1 = op(e3,e1)
| ~ spl3_79
| ~ spl3_80
| ~ spl3_116 ),
inference(forward_demodulation,[],[f1652,f653]) ).
fof(f1652,plain,
( e0 = e1
| e1 = op(e3,e1)
| e1 = op(e3,e0)
| ~ spl3_79
| ~ spl3_116 ),
inference(duplicate_literal_removal,[],[f1651]) ).
fof(f1651,plain,
( e0 = e1
| e0 = e1
| e1 = op(e3,e1)
| e1 = op(e3,e0)
| ~ spl3_79
| ~ spl3_116 ),
inference(forward_demodulation,[],[f1465,f648]) ).
fof(f1693,plain,
( spl3_5
| ~ spl3_95
| ~ spl3_109 ),
inference(avatar_split_clause,[],[f1691,f831,f725,f289]) ).
fof(f1691,plain,
( e1 = e3
| ~ spl3_95
| ~ spl3_109 ),
inference(forward_demodulation,[],[f833,f727]) ).
fof(f1682,plain,
( ~ spl3_89
| spl3_60
| ~ spl3_89 ),
inference(avatar_split_clause,[],[f1116,f694,f561,f694]) ).
fof(f1116,plain,
( e0 != op(e0,e0)
| spl3_60
| ~ spl3_89 ),
inference(superposition,[],[f563,f696]) ).
fof(f563,plain,
( op(e0,e0) != op(e0,op(e0,e0))
| spl3_60 ),
inference(avatar_component_clause,[],[f561]) ).
fof(f1664,plain,
( spl3_6
| spl3_3
| spl3_5
| ~ spl3_72
| ~ spl3_78
| ~ spl3_79
| ~ spl3_95 ),
inference(avatar_split_clause,[],[f1641,f725,f647,f642,f615,f289,f279,f294]) ).
fof(f1641,plain,
( e1 = e3
| e0 = e3
| e2 = e3
| ~ spl3_72
| ~ spl3_78
| ~ spl3_79
| ~ spl3_95 ),
inference(duplicate_literal_removal,[],[f1640]) ).
fof(f1640,plain,
( e1 = e3
| e1 = e3
| e0 = e3
| e2 = e3
| ~ spl3_72
| ~ spl3_78
| ~ spl3_79
| ~ spl3_95 ),
inference(forward_demodulation,[],[f1639,f727]) ).
fof(f1639,plain,
( e1 = e3
| e0 = e3
| e2 = e3
| e3 = op(e0,e3)
| ~ spl3_72
| ~ spl3_78
| ~ spl3_79 ),
inference(forward_demodulation,[],[f1638,f617]) ).
fof(f1638,plain,
( e0 = e3
| e2 = e3
| e3 = op(e1,e3)
| e3 = op(e0,e3)
| ~ spl3_78
| ~ spl3_79 ),
inference(forward_demodulation,[],[f1381,f648]) ).
fof(f1649,plain,
( spl3_4
| spl3_5
| spl3_1
| ~ spl3_79
| ~ spl3_80
| ~ spl3_115
| ~ spl3_116 ),
inference(avatar_split_clause,[],[f1631,f1173,f1143,f651,f647,f269,f289,f284]) ).
fof(f1631,plain,
( e0 = e1
| e1 = e3
| e1 = e2
| ~ spl3_79
| ~ spl3_80
| ~ spl3_115
| ~ spl3_116 ),
inference(duplicate_literal_removal,[],[f1630]) ).
fof(f1630,plain,
( e0 = e1
| e1 = e3
| e1 = e2
| e0 = e1
| ~ spl3_79
| ~ spl3_80
| ~ spl3_115
| ~ spl3_116 ),
inference(forward_demodulation,[],[f1467,f648]) ).
fof(f1467,plain,
( e1 = e3
| e1 = e2
| e0 = e1
| e1 = op(e3,e3)
| ~ spl3_80
| ~ spl3_115
| ~ spl3_116 ),
inference(forward_demodulation,[],[f1466,f653]) ).
fof(f1466,plain,
( e1 = e2
| e0 = e1
| e1 = op(e3,e3)
| e1 = op(e3,e0)
| ~ spl3_115
| ~ spl3_116 ),
inference(forward_demodulation,[],[f1465,f1145]) ).
fof(f1626,plain,
( spl3_67
| ~ spl3_71
| ~ spl3_79
| ~ spl3_98 ),
inference(avatar_split_clause,[],[f1607,f749,f647,f611,f593]) ).
fof(f1607,plain,
( e0 = op(e1,e1)
| ~ spl3_71
| ~ spl3_79
| ~ spl3_98 ),
inference(forward_demodulation,[],[f612,f1538]) ).
fof(f1585,plain,
( spl3_99
| spl3_1
| spl3_4
| ~ spl3_71
| ~ spl3_89
| ~ spl3_96
| ~ spl3_113 ),
inference(avatar_split_clause,[],[f1562,f1004,f741,f694,f611,f284,f269,f764]) ).
fof(f1562,plain,
( e1 = e2
| e0 = e1
| e1 = op(e2,e0)
| ~ spl3_71
| ~ spl3_89
| ~ spl3_96
| ~ spl3_113 ),
inference(forward_demodulation,[],[f1561,f1006]) ).
fof(f1561,plain,
( e1 = op(e1,e0)
| e0 = e1
| e1 = op(e2,e0)
| ~ spl3_71
| ~ spl3_89
| ~ spl3_96 ),
inference(duplicate_literal_removal,[],[f1560]) ).
fof(f1560,plain,
( e1 = op(e1,e0)
| e0 = e1
| e1 = op(e2,e0)
| e1 = op(e1,e0)
| ~ spl3_71
| ~ spl3_89
| ~ spl3_96 ),
inference(forward_demodulation,[],[f1140,f1486]) ).
fof(f1569,plain,
( spl3_111
| spl3_1
| spl3_2
| ~ spl3_70
| ~ spl3_96
| ~ spl3_113 ),
inference(avatar_split_clause,[],[f1470,f1004,f741,f606,f274,f269,f895]) ).
fof(f1470,plain,
( e0 = e2
| e0 = e1
| e0 = op(e1,e3)
| ~ spl3_70
| ~ spl3_96
| ~ spl3_113 ),
inference(forward_demodulation,[],[f1469,f1006]) ).
fof(f1469,plain,
( e0 = e1
| e0 = op(e1,e3)
| e0 = op(e1,e0)
| ~ spl3_70
| ~ spl3_96 ),
inference(duplicate_literal_removal,[],[f1468]) ).
fof(f1468,plain,
( e0 = e1
| e0 = e1
| e0 = op(e1,e3)
| e0 = op(e1,e0)
| ~ spl3_70
| ~ spl3_96 ),
inference(forward_demodulation,[],[f865,f608]) ).
fof(f865,plain,
( e0 = e1
| e0 = op(e1,e3)
| e0 = op(e1,e2)
| e0 = op(e1,e0)
| ~ spl3_96 ),
inference(forward_demodulation,[],[f123,f743]) ).
fof(f1551,plain,
( ~ spl3_79
| ~ spl3_77
| ~ spl3_99 ),
inference(avatar_split_clause,[],[f1524,f764,f638,f647]) ).
fof(f1524,plain,
( e0 != op(e3,e3)
| ~ spl3_77
| ~ spl3_99 ),
inference(trivial_inequality_removal,[],[f1523]) ).
fof(f1523,plain,
( e3 != e3
| e0 != op(e3,e3)
| ~ spl3_77
| ~ spl3_99 ),
inference(forward_demodulation,[],[f1522,f639]) ).
fof(f1522,plain,
( e3 != op(e2,e2)
| e0 != op(e3,e3)
| ~ spl3_99 ),
inference(trivial_inequality_removal,[],[f1521]) ).
fof(f1521,plain,
( e1 != e1
| e3 != op(e2,e2)
| e0 != op(e3,e3)
| ~ spl3_99 ),
inference(forward_demodulation,[],[f229,f766]) ).
fof(f229,plain,
( e1 != op(e2,e0)
| e3 != op(e2,e2)
| e0 != op(e3,e3) ),
inference(inner_rewriting,[],[f228]) ).
fof(f228,plain,
( e1 != op(e2,op(e3,e3))
| e3 != op(e2,e2)
| e0 != op(e3,e3) ),
inference(inner_rewriting,[],[f200]) ).
fof(f200,plain,
( e1 != op(e2,op(op(e2,e2),op(e2,e2)))
| e3 != op(e2,e2)
| e0 != op(op(e2,e2),op(e2,e2)) ),
inference(cnf_transformation,[],[f34]) ).
fof(f34,plain,
( e1 != op(e2,op(op(e2,e2),op(e2,e2)))
| e3 != op(e2,e2)
| e0 != op(op(e2,e2),op(e2,e2)) ),
inference(ennf_transformation,[],[f10]) ).
fof(f10,axiom,
~ ( e1 = op(e2,op(op(e2,e2),op(e2,e2)))
& e3 = op(e2,e2)
& e0 = op(op(e2,e2),op(e2,e2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax10) ).
fof(f1515,plain,
( spl3_6
| ~ spl3_113
| ~ spl3_117 ),
inference(avatar_split_clause,[],[f1512,f1184,f1004,f294]) ).
fof(f1512,plain,
( e2 = e3
| ~ spl3_113
| ~ spl3_117 ),
inference(forward_demodulation,[],[f1186,f1006]) ).
fof(f1507,plain,
( spl3_79
| spl3_2
| spl3_1
| ~ spl3_72
| ~ spl3_78
| ~ spl3_95 ),
inference(avatar_split_clause,[],[f1454,f725,f642,f615,f269,f274,f647]) ).
fof(f1454,plain,
( e0 = e1
| e0 = e2
| e0 = op(e3,e3)
| ~ spl3_72
| ~ spl3_78
| ~ spl3_95 ),
inference(duplicate_literal_removal,[],[f1453]) ).
fof(f1453,plain,
( e0 = e1
| e0 = e1
| e0 = e2
| e0 = op(e3,e3)
| ~ spl3_72
| ~ spl3_78
| ~ spl3_95 ),
inference(forward_demodulation,[],[f1407,f617]) ).
fof(f1457,plain,
( spl3_4
| ~ spl3_114
| ~ spl3_115 ),
inference(avatar_split_clause,[],[f1455,f1143,f1126,f284]) ).
fof(f1455,plain,
( e1 = e2
| ~ spl3_114
| ~ spl3_115 ),
inference(forward_demodulation,[],[f1145,f1128]) ).
fof(f1450,plain,
( spl3_2
| ~ spl3_76
| ~ spl3_101 ),
inference(avatar_split_clause,[],[f1437,f778,f633,f274]) ).
fof(f1437,plain,
( e0 = e2
| ~ spl3_76
| ~ spl3_101 ),
inference(forward_demodulation,[],[f635,f780]) ).
fof(f1439,plain,
( spl3_4
| ~ spl3_68
| ~ spl3_113 ),
inference(avatar_split_clause,[],[f1425,f1004,f597,f284]) ).
fof(f1425,plain,
( e1 = e2
| ~ spl3_68
| ~ spl3_113 ),
inference(forward_demodulation,[],[f1006,f599]) ).
fof(f1430,plain,
( spl3_6
| ~ spl3_69
| ~ spl3_71 ),
inference(avatar_split_clause,[],[f1411,f611,f602,f294]) ).
fof(f1411,plain,
( e2 = e3
| ~ spl3_69
| ~ spl3_71 ),
inference(forward_demodulation,[],[f612,f603]) ).
fof(f1415,plain,
( spl3_5
| ~ spl3_99
| ~ spl3_118 ),
inference(avatar_split_clause,[],[f1408,f1188,f764,f289]) ).
fof(f1408,plain,
( e1 = e3
| ~ spl3_99
| ~ spl3_118 ),
inference(forward_demodulation,[],[f1190,f766]) ).
fof(f1403,plain,
( ~ spl3_77
| ~ spl3_69
| ~ spl3_111 ),
inference(avatar_split_clause,[],[f1346,f895,f602,f638]) ).
fof(f1346,plain,
( e3 != op(e2,e2)
| ~ spl3_69
| ~ spl3_111 ),
inference(trivial_inequality_removal,[],[f1345]) ).
fof(f1345,plain,
( e2 != e2
| e3 != op(e2,e2)
| ~ spl3_69
| ~ spl3_111 ),
inference(forward_demodulation,[],[f1344,f603]) ).
fof(f1344,plain,
( e2 != op(e1,e1)
| e3 != op(e2,e2)
| ~ spl3_111 ),
inference(trivial_inequality_removal,[],[f1343]) ).
fof(f1343,plain,
( e0 != e0
| e2 != op(e1,e1)
| e3 != op(e2,e2)
| ~ spl3_111 ),
inference(forward_demodulation,[],[f239,f897]) ).
fof(f239,plain,
( e0 != op(e1,e3)
| e2 != op(e1,e1)
| e3 != op(e2,e2) ),
inference(inner_rewriting,[],[f238]) ).
fof(f238,plain,
( e0 != op(e1,op(e2,e2))
| e2 != op(e1,e1)
| e3 != op(e2,e2) ),
inference(inner_rewriting,[],[f205]) ).
fof(f205,plain,
( e0 != op(e1,op(op(e1,e1),op(e1,e1)))
| e2 != op(e1,e1)
| e3 != op(op(e1,e1),op(e1,e1)) ),
inference(cnf_transformation,[],[f39]) ).
fof(f39,plain,
( e0 != op(e1,op(op(e1,e1),op(e1,e1)))
| e2 != op(e1,e1)
| e3 != op(op(e1,e1),op(e1,e1)) ),
inference(ennf_transformation,[],[f28]) ).
fof(f28,axiom,
~ ( e0 = op(e1,op(op(e1,e1),op(e1,e1)))
& e2 = op(e1,e1)
& e3 = op(op(e1,e1),op(e1,e1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax28) ).
fof(f1386,plain,
( spl3_5
| ~ spl3_82
| ~ spl3_114 ),
inference(avatar_split_clause,[],[f1384,f1126,f660,f289]) ).
fof(f1384,plain,
( e1 = e3
| ~ spl3_82
| ~ spl3_114 ),
inference(forward_demodulation,[],[f662,f1128]) ).
fof(f1380,plain,
( spl3_6
| ~ spl3_80
| ~ spl3_112 ),
inference(avatar_split_clause,[],[f1371,f992,f651,f294]) ).
fof(f1371,plain,
( e2 = e3
| ~ spl3_80
| ~ spl3_112 ),
inference(forward_demodulation,[],[f653,f994]) ).
fof(f1372,plain,
( spl3_6
| ~ spl3_78
| ~ spl3_120 ),
inference(avatar_split_clause,[],[f1361,f1300,f642,f294]) ).
fof(f1361,plain,
( e2 = e3
| ~ spl3_78
| ~ spl3_120 ),
inference(superposition,[],[f644,f1302]) ).
fof(f1370,plain,
( spl3_80
| spl3_82
| spl3_84
| spl3_98 ),
inference(avatar_split_clause,[],[f145,f749,f669,f660,f651]) ).
fof(f145,plain,
( e3 = op(e3,e3)
| e3 = op(e3,e2)
| e3 = op(e3,e1)
| e3 = op(e3,e0) ),
inference(cnf_transformation,[],[f2]) ).
fof(f1351,plain,
( spl3_6
| ~ spl3_77
| ~ spl3_97 ),
inference(avatar_split_clause,[],[f1350,f745,f638,f294]) ).
fof(f1350,plain,
( e2 = e3
| ~ spl3_77
| ~ spl3_97 ),
inference(forward_demodulation,[],[f639,f747]) ).
fof(f1342,plain,
( spl3_3
| ~ spl3_84
| ~ spl3_116 ),
inference(avatar_split_clause,[],[f1341,f1173,f669,f279]) ).
fof(f1341,plain,
( e0 = e3
| ~ spl3_84
| ~ spl3_116 ),
inference(forward_demodulation,[],[f671,f1175]) ).
fof(f1339,plain,
( spl3_5
| ~ spl3_70
| ~ spl3_106 ),
inference(avatar_split_clause,[],[f1338,f816,f606,f289]) ).
fof(f1338,plain,
( e1 = e3
| ~ spl3_70
| ~ spl3_106 ),
inference(forward_demodulation,[],[f817,f608]) ).
fof(f1337,plain,
( spl3_108
| spl3_106
| spl3_77
| spl3_84 ),
inference(avatar_split_clause,[],[f138,f669,f638,f816,f827]) ).
fof(f138,plain,
( e3 = op(e3,e2)
| e3 = op(e2,e2)
| e3 = op(e1,e2)
| e3 = op(e0,e2) ),
inference(cnf_transformation,[],[f2]) ).
fof(f1331,plain,
( spl3_3
| ~ spl3_111
| ~ spl3_119 ),
inference(avatar_split_clause,[],[f1315,f1247,f895,f279]) ).
fof(f1315,plain,
( e0 = e3
| ~ spl3_111
| ~ spl3_119 ),
inference(superposition,[],[f897,f1249]) ).
fof(f1328,plain,
( spl3_1
| ~ spl3_89
| ~ spl3_100
| ~ spl3_111
| ~ spl3_119 ),
inference(avatar_split_clause,[],[f1327,f1247,f895,f768,f694,f269]) ).
fof(f1327,plain,
( e0 = e1
| ~ spl3_89
| ~ spl3_100
| ~ spl3_111
| ~ spl3_119 ),
inference(forward_demodulation,[],[f1326,f696]) ).
fof(f1326,plain,
( op(e0,e0) = e1
| ~ spl3_100
| ~ spl3_111
| ~ spl3_119 ),
inference(forward_demodulation,[],[f770,f1315]) ).
fof(f1322,plain,
( spl3_99
| spl3_100
| spl3_1
| spl3_5
| ~ spl3_89
| ~ spl3_117 ),
inference(avatar_split_clause,[],[f1313,f1184,f694,f289,f269,f768,f764]) ).
fof(f1313,plain,
( e1 = e3
| e0 = e1
| e1 = op(e3,e0)
| e1 = op(e2,e0)
| ~ spl3_89
| ~ spl3_117 ),
inference(forward_demodulation,[],[f1140,f1186]) ).
fof(f1314,plain,
( spl3_111
| spl3_1
| spl3_2
| spl3_3
| ~ spl3_69
| ~ spl3_70
| ~ spl3_117 ),
inference(avatar_split_clause,[],[f1289,f1184,f606,f602,f279,f274,f269,f895]) ).
fof(f1289,plain,
( e0 = e3
| e0 = e2
| e0 = e1
| e0 = op(e1,e3)
| ~ spl3_69
| ~ spl3_70
| ~ spl3_117 ),
inference(forward_demodulation,[],[f1220,f1186]) ).
fof(f1312,plain,
( spl3_100
| spl3_1
| spl3_4
| spl3_5
| ~ spl3_74
| ~ spl3_89
| ~ spl3_117 ),
inference(avatar_split_clause,[],[f1284,f1184,f694,f624,f289,f284,f269,f768]) ).
fof(f1284,plain,
( e1 = e3
| e1 = e2
| e0 = e1
| e1 = op(e3,e0)
| ~ spl3_74
| ~ spl3_89
| ~ spl3_117 ),
inference(forward_demodulation,[],[f1269,f1186]) ).
fof(f1303,plain,
( spl3_120
| spl3_3
| spl3_6
| ~ spl3_74
| ~ spl3_97
| ~ spl3_101 ),
inference(avatar_split_clause,[],[f1288,f778,f745,f624,f294,f279,f1300]) ).
fof(f1288,plain,
( e2 = e3
| e0 = e3
| e3 = op(e2,e3)
| ~ spl3_74
| ~ spl3_97
| ~ spl3_101 ),
inference(duplicate_literal_removal,[],[f1287]) ).
fof(f1287,plain,
( e2 = e3
| e0 = e3
| e2 = e3
| e3 = op(e2,e3)
| ~ spl3_74
| ~ spl3_97
| ~ spl3_101 ),
inference(forward_demodulation,[],[f1286,f626]) ).
fof(f1297,plain,
( ~ spl3_73
| ~ spl3_69
| ~ spl3_117 ),
inference(avatar_split_clause,[],[f1267,f1184,f602,f620]) ).
fof(f1267,plain,
( e0 != op(e2,e2)
| ~ spl3_69
| ~ spl3_117 ),
inference(trivial_inequality_removal,[],[f1266]) ).
fof(f1266,plain,
( e3 != e3
| e0 != op(e2,e2)
| ~ spl3_69
| ~ spl3_117 ),
inference(forward_demodulation,[],[f1212,f1186]) ).
fof(f1212,plain,
( e3 != op(e1,e0)
| e0 != op(e2,e2)
| ~ spl3_69 ),
inference(trivial_inequality_removal,[],[f1211]) ).
fof(f1211,plain,
( e2 != e2
| e3 != op(e1,e0)
| e0 != op(e2,e2)
| ~ spl3_69 ),
inference(forward_demodulation,[],[f227,f603]) ).
fof(f227,plain,
( e3 != op(e1,e0)
| e2 != op(e1,e1)
| e0 != op(e2,e2) ),
inference(inner_rewriting,[],[f226]) ).
fof(f226,plain,
( e3 != op(e1,op(e2,e2))
| e2 != op(e1,e1)
| e0 != op(e2,e2) ),
inference(inner_rewriting,[],[f199]) ).
fof(f199,plain,
( e3 != op(e1,op(op(e1,e1),op(e1,e1)))
| e2 != op(e1,e1)
| e0 != op(op(e1,e1),op(e1,e1)) ),
inference(cnf_transformation,[],[f33]) ).
fof(f33,plain,
( e3 != op(e1,op(op(e1,e1),op(e1,e1)))
| e2 != op(e1,e1)
| e0 != op(op(e1,e1),op(e1,e1)) ),
inference(ennf_transformation,[],[f9]) ).
fof(f9,axiom,
~ ( e3 = op(e1,op(op(e1,e1),op(e1,e1)))
& e2 = op(e1,e1)
& e0 = op(op(e1,e1),op(e1,e1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax9) ).
fof(f1283,plain,
( spl3_2
| ~ spl3_73
| ~ spl3_97 ),
inference(avatar_split_clause,[],[f1221,f745,f620,f274]) ).
fof(f1221,plain,
( e0 = e2
| ~ spl3_73
| ~ spl3_97 ),
inference(superposition,[],[f621,f747]) ).
fof(f1265,plain,
( spl3_5
| ~ spl3_68
| ~ spl3_117 ),
inference(avatar_split_clause,[],[f1264,f1184,f597,f289]) ).
fof(f1264,plain,
( e1 = e3
| ~ spl3_68
| ~ spl3_117 ),
inference(forward_demodulation,[],[f1186,f599]) ).
fof(f1252,plain,
( spl3_90
| ~ spl3_73
| ~ spl3_74
| ~ spl3_97
| ~ spl3_118
| ~ spl3_119 ),
inference(avatar_split_clause,[],[f1251,f1247,f1188,f745,f624,f620,f700]) ).
fof(f1251,plain,
( e0 = op(e1,e0)
| ~ spl3_73
| ~ spl3_74
| ~ spl3_97
| ~ spl3_118
| ~ spl3_119 ),
inference(forward_demodulation,[],[f1249,f1236]) ).
fof(f1236,plain,
( e0 = e3
| ~ spl3_73
| ~ spl3_74
| ~ spl3_97
| ~ spl3_118 ),
inference(forward_demodulation,[],[f1230,f1221]) ).
fof(f1250,plain,
( spl3_117
| spl3_71
| spl3_106
| spl3_119 ),
inference(avatar_split_clause,[],[f129,f1247,f816,f611,f1184]) ).
fof(f129,plain,
( e3 = op(e1,e3)
| e3 = op(e1,e2)
| e3 = op(e1,e1)
| e3 = op(e1,e0) ),
inference(cnf_transformation,[],[f2]) ).
fof(f1239,plain,
( spl3_68
| spl3_100
| spl3_1
| spl3_5
| ~ spl3_89
| ~ spl3_118 ),
inference(avatar_split_clause,[],[f1214,f1188,f694,f289,f269,f768,f597]) ).
fof(f1214,plain,
( e1 = e3
| e0 = e1
| e1 = op(e3,e0)
| e1 = op(e1,e0)
| ~ spl3_89
| ~ spl3_118 ),
inference(forward_demodulation,[],[f1140,f1190]) ).
fof(f1210,plain,
( spl3_1
| ~ spl3_70
| ~ spl3_110 ),
inference(avatar_split_clause,[],[f1177,f891,f606,f269]) ).
fof(f1177,plain,
( e0 = e1
| ~ spl3_70
| ~ spl3_110 ),
inference(superposition,[],[f893,f608]) ).
fof(f1202,plain,
( spl3_113
| spl3_74
| spl3_112
| spl3_2
| ~ spl3_89 ),
inference(avatar_split_clause,[],[f1141,f694,f274,f992,f624,f1004]) ).
fof(f1141,plain,
( e0 = e2
| e2 = op(e3,e0)
| e2 = op(e2,e0)
| e2 = op(e1,e0)
| ~ spl3_89 ),
inference(forward_demodulation,[],[f120,f696]) ).
fof(f1194,plain,
( spl3_3
| ~ spl3_70
| ~ spl3_89
| ~ spl3_110
| ~ spl3_117 ),
inference(avatar_split_clause,[],[f1193,f1184,f891,f694,f606,f279]) ).
fof(f1193,plain,
( e0 = e3
| ~ spl3_70
| ~ spl3_89
| ~ spl3_110
| ~ spl3_117 ),
inference(forward_demodulation,[],[f1192,f696]) ).
fof(f1192,plain,
( op(e0,e0) = e3
| ~ spl3_70
| ~ spl3_110
| ~ spl3_117 ),
inference(forward_demodulation,[],[f1186,f1177]) ).
fof(f1191,plain,
( spl3_117
| spl3_118
| spl3_80
| spl3_3
| ~ spl3_89 ),
inference(avatar_split_clause,[],[f1139,f694,f279,f651,f1188,f1184]) ).
fof(f1139,plain,
( e0 = e3
| e3 = op(e3,e0)
| e3 = op(e2,e0)
| e3 = op(e1,e0)
| ~ spl3_89 ),
inference(forward_demodulation,[],[f122,f696]) ).
fof(f1176,plain,
( spl3_110
| spl3_73
| spl3_116
| spl3_2
| ~ spl3_104 ),
inference(avatar_split_clause,[],[f1021,f799,f274,f1173,f620,f891]) ).
fof(f1021,plain,
( e0 = e2
| e0 = op(e3,e2)
| e0 = op(e2,e2)
| e0 = op(e1,e2)
| ~ spl3_104 ),
inference(forward_demodulation,[],[f132,f801]) ).
fof(f1154,plain,
( spl3_6
| ~ spl3_104
| ~ spl3_108 ),
inference(avatar_split_clause,[],[f1152,f827,f799,f294]) ).
fof(f1152,plain,
( e2 = e3
| ~ spl3_104
| ~ spl3_108 ),
inference(forward_demodulation,[],[f829,f801]) ).
fof(f1146,plain,
( spl3_69
| spl3_76
| spl3_115
| spl3_6
| ~ spl3_107 ),
inference(avatar_split_clause,[],[f1016,f823,f294,f1143,f633,f602]) ).
fof(f1016,plain,
( e2 = e3
| e2 = op(e3,e1)
| e2 = op(e2,e1)
| e2 = op(e1,e1)
| ~ spl3_107 ),
inference(forward_demodulation,[],[f128,f825]) ).
fof(f1138,plain,
( spl3_63
| spl3_113
| spl3_112
| spl3_2
| ~ spl3_91 ),
inference(avatar_split_clause,[],[f844,f704,f274,f992,f1004,f575]) ).
fof(f844,plain,
( e0 = e2
| e2 = op(e3,e0)
| e2 = op(e1,e0)
| op(e0,e0) = e2
| ~ spl3_91 ),
inference(forward_demodulation,[],[f120,f706]) ).
fof(f1129,plain,
( spl3_96
| spl3_114
| spl3_5
| spl3_1
| ~ spl3_101
| ~ spl3_107 ),
inference(avatar_split_clause,[],[f1059,f823,f778,f269,f289,f1126,f741]) ).
fof(f1059,plain,
( e0 = e1
| e1 = e3
| e1 = op(e3,e1)
| e1 = op(e1,e1)
| ~ spl3_101
| ~ spl3_107 ),
inference(forward_demodulation,[],[f1015,f780]) ).
fof(f1112,plain,
( spl3_3
| ~ spl3_62
| ~ spl3_107 ),
inference(avatar_split_clause,[],[f1080,f823,f570,f279]) ).
fof(f1080,plain,
( e0 = e3
| ~ spl3_62
| ~ spl3_107 ),
inference(superposition,[],[f572,f825]) ).
fof(f1100,plain,
( spl3_63
| spl3_112
| spl3_2
| spl3_4
| ~ spl3_68
| ~ spl3_91 ),
inference(avatar_split_clause,[],[f845,f704,f597,f284,f274,f992,f575]) ).
fof(f845,plain,
( e1 = e2
| e0 = e2
| e2 = op(e3,e0)
| op(e0,e0) = e2
| ~ spl3_68
| ~ spl3_91 ),
inference(forward_demodulation,[],[f844,f599]) ).
fof(f1074,plain,
( spl3_5
| ~ spl3_93
| ~ spl3_107 ),
inference(avatar_split_clause,[],[f1033,f823,f717,f289]) ).
fof(f1033,plain,
( e1 = e3
| ~ spl3_93
| ~ spl3_107 ),
inference(superposition,[],[f825,f719]) ).
fof(f1066,plain,
( spl3_2
| ~ spl3_66
| ~ spl3_105 ),
inference(avatar_split_clause,[],[f1060,f803,f588,f274]) ).
fof(f1060,plain,
( e0 = e2
| ~ spl3_66
| ~ spl3_105 ),
inference(forward_demodulation,[],[f805,f590]) ).
fof(f1057,plain,
( spl3_1
| spl3_68
| spl3_61
| ~ spl3_91
| ~ spl3_93
| ~ spl3_107 ),
inference(avatar_split_clause,[],[f1043,f823,f717,f704,f566,f597,f269]) ).
fof(f1043,plain,
( op(e0,e0) = e1
| e1 = op(e1,e0)
| e0 = e1
| ~ spl3_91
| ~ spl3_93
| ~ spl3_107 ),
inference(forward_demodulation,[],[f1042,f1033]) ).
fof(f1042,plain,
( e1 = op(e1,e0)
| e0 = e1
| op(e0,e0) = e3
| ~ spl3_91
| ~ spl3_93
| ~ spl3_107 ),
inference(duplicate_literal_removal,[],[f1041]) ).
fof(f1041,plain,
( e1 = op(e1,e0)
| e0 = e1
| e1 = op(e1,e0)
| op(e0,e0) = e3
| ~ spl3_91
| ~ spl3_93
| ~ spl3_107 ),
inference(forward_demodulation,[],[f1040,f1033]) ).
fof(f1040,plain,
( e0 = e1
| e1 = op(e1,e0)
| e3 = op(e1,e0)
| op(e0,e0) = e3
| ~ spl3_91
| ~ spl3_93
| ~ spl3_107 ),
inference(forward_demodulation,[],[f1039,f1033]) ).
fof(f1039,plain,
( e0 = e3
| e1 = op(e1,e0)
| e3 = op(e1,e0)
| op(e0,e0) = e3
| ~ spl3_91
| ~ spl3_93
| ~ spl3_107 ),
inference(forward_demodulation,[],[f1038,f706]) ).
fof(f1038,plain,
( e1 = op(e1,e0)
| e3 = op(e2,e0)
| e3 = op(e1,e0)
| op(e0,e0) = e3
| ~ spl3_93
| ~ spl3_107 ),
inference(forward_demodulation,[],[f122,f1033]) ).
fof(f1037,plain,
( spl3_63
| spl3_113
| spl3_2
| spl3_4
| ~ spl3_91
| ~ spl3_100 ),
inference(avatar_split_clause,[],[f1008,f768,f704,f284,f274,f1004,f575]) ).
fof(f1008,plain,
( e1 = e2
| e0 = e2
| e2 = op(e1,e0)
| op(e0,e0) = e2
| ~ spl3_91
| ~ spl3_100 ),
inference(forward_demodulation,[],[f844,f770]) ).
fof(f1019,plain,
( spl3_4
| ~ spl3_94
| ~ spl3_104 ),
inference(avatar_split_clause,[],[f1017,f799,f721,f284]) ).
fof(f1017,plain,
( e1 = e2
| ~ spl3_94
| ~ spl3_104 ),
inference(forward_demodulation,[],[f801,f723]) ).
fof(f1013,plain,
( spl3_6
| ~ spl3_103
| ~ spl3_107 ),
inference(avatar_split_clause,[],[f1011,f823,f795,f294]) ).
fof(f1011,plain,
( e2 = e3
| ~ spl3_103
| ~ spl3_107 ),
inference(forward_demodulation,[],[f825,f797]) ).
fof(f1007,plain,
( spl3_113
| spl3_112
| spl3_2
| spl3_6
| ~ spl3_65
| ~ spl3_91 ),
inference(avatar_split_clause,[],[f979,f704,f584,f294,f274,f992,f1004]) ).
fof(f979,plain,
( e2 = e3
| e0 = e2
| e2 = op(e3,e0)
| e2 = op(e1,e0)
| ~ spl3_65
| ~ spl3_91 ),
inference(forward_demodulation,[],[f844,f585]) ).
fof(f995,plain,
( spl3_112
| spl3_2
| spl3_4
| spl3_6
| ~ spl3_65
| ~ spl3_68
| ~ spl3_91 ),
inference(avatar_split_clause,[],[f846,f704,f597,f584,f294,f284,f274,f992]) ).
fof(f846,plain,
( e2 = e3
| e1 = e2
| e0 = e2
| e2 = op(e3,e0)
| ~ spl3_65
| ~ spl3_68
| ~ spl3_91 ),
inference(forward_demodulation,[],[f845,f585]) ).
fof(f986,plain,
( spl3_68
| spl3_100
| spl3_1
| spl3_5
| ~ spl3_65
| ~ spl3_91 ),
inference(avatar_split_clause,[],[f951,f704,f584,f289,f269,f768,f597]) ).
fof(f951,plain,
( e1 = e3
| e0 = e1
| e1 = op(e3,e0)
| e1 = op(e1,e0)
| ~ spl3_65
| ~ spl3_91 ),
inference(forward_demodulation,[],[f950,f585]) ).
fof(f950,plain,
( e0 = e1
| e1 = op(e3,e0)
| e1 = op(e1,e0)
| op(e0,e0) = e1
| ~ spl3_91 ),
inference(forward_demodulation,[],[f118,f706]) ).
fof(f984,plain,
( ~ spl3_64
| spl3_36
| ~ spl3_66 ),
inference(avatar_split_clause,[],[f878,f588,f444,f579]) ).
fof(f878,plain,
( e0 != op(e0,e2)
| spl3_36
| ~ spl3_66 ),
inference(superposition,[],[f446,f590]) ).
fof(f974,plain,
( spl3_61
| ~ spl3_62
| ~ spl3_94
| ~ spl3_103 ),
inference(avatar_split_clause,[],[f960,f795,f721,f570,f566]) ).
fof(f960,plain,
( op(e0,e0) = e1
| ~ spl3_62
| ~ spl3_94
| ~ spl3_103 ),
inference(forward_demodulation,[],[f723,f886]) ).
fof(f963,plain,
( spl3_1
| ~ spl3_62
| ~ spl3_94
| ~ spl3_97
| ~ spl3_103 ),
inference(avatar_split_clause,[],[f961,f795,f745,f721,f570,f269]) ).
fof(f961,plain,
( e0 = e1
| ~ spl3_62
| ~ spl3_94
| ~ spl3_97
| ~ spl3_103 ),
inference(forward_demodulation,[],[f960,f937]) ).
fof(f937,plain,
( e0 = op(e0,e0)
| ~ spl3_62
| ~ spl3_97
| ~ spl3_103 ),
inference(forward_demodulation,[],[f747,f886]) ).
fof(f938,plain,
( spl3_5
| ~ spl3_61
| ~ spl3_65 ),
inference(avatar_split_clause,[],[f872,f584,f566,f289]) ).
fof(f872,plain,
( e1 = e3
| ~ spl3_61
| ~ spl3_65 ),
inference(superposition,[],[f585,f567]) ).
fof(f917,plain,
( ~ spl3_90
| ~ spl3_62
| ~ spl3_103
| spl3_110 ),
inference(avatar_split_clause,[],[f913,f891,f795,f570,f700]) ).
fof(f913,plain,
( e0 != op(e1,e0)
| ~ spl3_62
| ~ spl3_103
| spl3_110 ),
inference(forward_demodulation,[],[f892,f886]) ).
fof(f892,plain,
( e0 != op(e1,e2)
| spl3_110 ),
inference(avatar_component_clause,[],[f891]) ).
fof(f914,plain,
( spl3_1
| spl3_90
| ~ spl3_61
| ~ spl3_62
| ~ spl3_65
| ~ spl3_96
| ~ spl3_103 ),
inference(avatar_split_clause,[],[f905,f795,f741,f584,f570,f566,f700,f269]) ).
fof(f905,plain,
( e0 = op(e1,e0)
| e0 = e1
| ~ spl3_61
| ~ spl3_62
| ~ spl3_65
| ~ spl3_96
| ~ spl3_103 ),
inference(duplicate_literal_removal,[],[f904]) ).
fof(f904,plain,
( e0 = op(e1,e0)
| e0 = e1
| e0 = op(e1,e0)
| ~ spl3_61
| ~ spl3_62
| ~ spl3_65
| ~ spl3_96
| ~ spl3_103 ),
inference(forward_demodulation,[],[f903,f886]) ).
fof(f903,plain,
( e0 = e1
| e0 = op(e1,e2)
| e0 = op(e1,e0)
| ~ spl3_61
| ~ spl3_65
| ~ spl3_96 ),
inference(duplicate_literal_removal,[],[f902]) ).
fof(f902,plain,
( e0 = e1
| e0 = e1
| e0 = op(e1,e2)
| e0 = op(e1,e0)
| ~ spl3_61
| ~ spl3_65
| ~ spl3_96 ),
inference(forward_demodulation,[],[f901,f743]) ).
fof(f901,plain,
( e0 = op(e1,e1)
| e0 = e1
| e0 = op(e1,e2)
| e0 = op(e1,e0)
| ~ spl3_61
| ~ spl3_65
| ~ spl3_96 ),
inference(forward_demodulation,[],[f865,f872]) ).
fof(f898,plain,
( spl3_110
| spl3_111
| spl3_1
| ~ spl3_68
| ~ spl3_96 ),
inference(avatar_split_clause,[],[f867,f741,f597,f269,f895,f891]) ).
fof(f867,plain,
( e0 = e1
| e0 = op(e1,e3)
| e0 = op(e1,e2)
| ~ spl3_68
| ~ spl3_96 ),
inference(duplicate_literal_removal,[],[f866]) ).
fof(f866,plain,
( e0 = e1
| e0 = e1
| e0 = op(e1,e3)
| e0 = op(e1,e2)
| ~ spl3_68
| ~ spl3_96 ),
inference(forward_demodulation,[],[f865,f599]) ).
fof(f862,plain,
( spl3_1
| ~ spl3_67
| ~ spl3_96 ),
inference(avatar_split_clause,[],[f858,f741,f593,f269]) ).
fof(f858,plain,
( e0 = e1
| ~ spl3_67
| ~ spl3_96 ),
inference(forward_demodulation,[],[f743,f594]) ).
fof(f857,plain,
( spl3_1
| ~ spl3_66
| ~ spl3_95 ),
inference(avatar_split_clause,[],[f855,f725,f588,f269]) ).
fof(f855,plain,
( e0 = e1
| ~ spl3_66
| ~ spl3_95 ),
inference(forward_demodulation,[],[f727,f590]) ).
fof(f854,plain,
( spl3_1
| ~ spl3_64
| ~ spl3_94 ),
inference(avatar_split_clause,[],[f853,f721,f579,f269]) ).
fof(f853,plain,
( e0 = e1
| ~ spl3_64
| ~ spl3_94 ),
inference(forward_demodulation,[],[f723,f581]) ).
fof(f849,plain,
( spl3_4
| ~ spl3_93
| ~ spl3_103 ),
inference(avatar_split_clause,[],[f847,f795,f717,f284]) ).
fof(f847,plain,
( e1 = e2
| ~ spl3_93
| ~ spl3_103 ),
inference(forward_demodulation,[],[f797,f719]) ).
fof(f841,plain,
( spl3_6
| ~ spl3_63
| ~ spl3_65 ),
inference(avatar_split_clause,[],[f840,f584,f575,f294]) ).
fof(f840,plain,
( e2 = e3
| ~ spl3_63
| ~ spl3_65 ),
inference(forward_demodulation,[],[f585,f576]) ).
fof(f834,plain,
( spl3_65
| spl3_107
| spl3_108
| spl3_109 ),
inference(avatar_split_clause,[],[f121,f831,f827,f823,f584]) ).
fof(f121,plain,
( e3 = op(e0,e3)
| e3 = op(e0,e2)
| e3 = op(e0,e1)
| op(e0,e0) = e3 ),
inference(cnf_transformation,[],[f2]) ).
fof(f820,plain,
( ~ spl3_89
| spl3_32
| ~ spl3_64 ),
inference(avatar_split_clause,[],[f760,f579,f424,f694]) ).
fof(f760,plain,
( e0 != op(e0,e0)
| spl3_32
| ~ spl3_64 ),
inference(superposition,[],[f426,f581]) ).
fof(f819,plain,
( ~ spl3_63
| ~ spl3_106
| ~ spl3_67 ),
inference(avatar_split_clause,[],[f808,f593,f816,f575]) ).
fof(f808,plain,
( e3 != op(e1,e2)
| op(e0,e0) != e2
| ~ spl3_67 ),
inference(trivial_inequality_removal,[],[f807]) ).
fof(f807,plain,
( e0 != e0
| e3 != op(e1,e2)
| op(e0,e0) != e2
| ~ spl3_67 ),
inference(forward_demodulation,[],[f247,f594]) ).
fof(f247,plain,
( e3 != op(e1,e2)
| e0 != op(e1,e1)
| op(e0,e0) != e2 ),
inference(inner_rewriting,[],[f246]) ).
fof(f246,plain,
( e3 != op(e1,op(e0,e0))
| e0 != op(e1,e1)
| op(e0,e0) != e2 ),
inference(inner_rewriting,[],[f209]) ).
fof(f209,plain,
( e3 != op(e1,op(op(e1,e1),op(e1,e1)))
| e0 != op(e1,e1)
| e2 != op(op(e1,e1),op(e1,e1)) ),
inference(cnf_transformation,[],[f43]) ).
fof(f43,plain,
( e3 != op(e1,op(op(e1,e1),op(e1,e1)))
| e0 != op(e1,e1)
| e2 != op(op(e1,e1),op(e1,e1)) ),
inference(ennf_transformation,[],[f19]) ).
fof(f19,axiom,
~ ( e3 = op(e1,op(op(e1,e1),op(e1,e1)))
& e0 = op(e1,e1)
& e2 = op(op(e1,e1),op(e1,e1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax19) ).
fof(f806,plain,
( spl3_63
| spl3_103
| spl3_104
| spl3_105 ),
inference(avatar_split_clause,[],[f119,f803,f799,f795,f575]) ).
fof(f119,plain,
( e2 = op(e0,e3)
| e2 = op(e0,e2)
| e2 = op(e0,e1)
| op(e0,e0) = e2 ),
inference(cnf_transformation,[],[f2]) ).
fof(f785,plain,
( spl3_67
| spl3_101
| spl3_102
| spl3_1
| ~ spl3_93 ),
inference(avatar_split_clause,[],[f757,f717,f269,f782,f778,f593]) ).
fof(f757,plain,
( e0 = e1
| e0 = op(e3,e1)
| e0 = op(e2,e1)
| e0 = op(e1,e1)
| ~ spl3_93 ),
inference(forward_demodulation,[],[f124,f719]) ).
fof(f771,plain,
( spl3_61
| spl3_99
| spl3_100
| spl3_1
| ~ spl3_90 ),
inference(avatar_split_clause,[],[f753,f700,f269,f768,f764,f566]) ).
fof(f753,plain,
( e0 = e1
| e1 = op(e3,e0)
| e1 = op(e2,e0)
| op(e0,e0) = e1
| ~ spl3_90 ),
inference(forward_demodulation,[],[f118,f702]) ).
fof(f756,plain,
( spl3_1
| ~ spl3_62
| ~ spl3_93 ),
inference(avatar_split_clause,[],[f754,f717,f570,f269]) ).
fof(f754,plain,
( e0 = e1
| ~ spl3_62
| ~ spl3_93 ),
inference(forward_demodulation,[],[f719,f572]) ).
fof(f752,plain,
( spl3_96
| spl3_97
| spl3_98
| spl3_1
| ~ spl3_61 ),
inference(avatar_split_clause,[],[f732,f566,f269,f749,f745,f741]) ).
fof(f732,plain,
( e0 = e1
| e3 = op(e3,e3)
| e2 = op(e2,e2)
| e1 = op(e1,e1)
| ~ spl3_61 ),
inference(forward_demodulation,[],[f179,f567]) ).
fof(f731,plain,
( spl3_1
| ~ spl3_61
| ~ spl3_89 ),
inference(avatar_split_clause,[],[f730,f694,f566,f269]) ).
fof(f730,plain,
( e0 = e1
| ~ spl3_61
| ~ spl3_89 ),
inference(forward_demodulation,[],[f567,f696]) ).
fof(f728,plain,
( spl3_61
| spl3_93
| spl3_94
| spl3_95 ),
inference(avatar_split_clause,[],[f117,f725,f721,f717,f566]) ).
fof(f117,plain,
( e1 = op(e0,e3)
| e1 = op(e0,e2)
| e1 = op(e0,e1)
| op(e0,e0) = e1 ),
inference(cnf_transformation,[],[f2]) ).
fof(f711,plain,
( spl3_89
| spl3_90
| spl3_91
| spl3_92 ),
inference(avatar_split_clause,[],[f116,f708,f704,f700,f694]) ).
fof(f116,plain,
( e0 = op(e3,e0)
| e0 = op(e2,e0)
| e0 = op(e1,e0)
| e0 = op(e0,e0) ),
inference(cnf_transformation,[],[f2]) ).
fof(f697,plain,
( spl3_89
| spl3_62
| spl3_64
| spl3_66 ),
inference(avatar_split_clause,[],[f115,f588,f579,f570,f694]) ).
fof(f115,plain,
( e0 = op(e0,e3)
| e0 = op(e0,e2)
| e0 = op(e0,e1)
| e0 = op(e0,e0) ),
inference(cnf_transformation,[],[f2]) ).
fof(f692,plain,
( spl3_59
| spl3_57
| spl3_55
| ~ spl3_88 ),
inference(avatar_split_clause,[],[f178,f689,f539,f548,f557]) ).
fof(f178,plain,
( op(e3,e3) != op(e3,op(e3,e3))
| sP2
| sP1
| sP0 ),
inference(cnf_transformation,[],[f57]) ).
fof(f687,plain,
( spl3_59
| spl3_57
| spl3_55
| ~ spl3_87 ),
inference(avatar_split_clause,[],[f177,f684,f539,f548,f557]) ).
fof(f177,plain,
( op(e3,e2) != op(e2,op(e3,e2))
| sP2
| sP1
| sP0 ),
inference(cnf_transformation,[],[f57]) ).
fof(f682,plain,
( spl3_59
| spl3_57
| spl3_55
| ~ spl3_86 ),
inference(avatar_split_clause,[],[f176,f679,f539,f548,f557]) ).
fof(f176,plain,
( op(e3,e1) != op(e1,op(e3,e1))
| sP2
| sP1
| sP0 ),
inference(cnf_transformation,[],[f57]) ).
fof(f677,plain,
( spl3_59
| spl3_57
| spl3_55
| ~ spl3_85 ),
inference(avatar_split_clause,[],[f175,f674,f539,f548,f557]) ).
fof(f175,plain,
( op(e3,e0) != op(e0,op(e3,e0))
| sP2
| sP1
| sP0 ),
inference(cnf_transformation,[],[f57]) ).
fof(f672,plain,
( ~ spl3_83
| spl3_84 ),
inference(avatar_split_clause,[],[f194,f669,f665]) ).
fof(f194,plain,
( e3 = op(e3,e2)
| e2 != op(e3,e3) ),
inference(cnf_transformation,[],[f57]) ).
fof(f663,plain,
( ~ spl3_81
| spl3_82 ),
inference(avatar_split_clause,[],[f193,f660,f656]) ).
fof(f193,plain,
( e3 = op(e3,e1)
| e1 != op(e3,e3) ),
inference(cnf_transformation,[],[f57]) ).
fof(f654,plain,
( ~ spl3_79
| spl3_80 ),
inference(avatar_split_clause,[],[f192,f651,f647]) ).
fof(f192,plain,
( e3 = op(e3,e0)
| e0 != op(e3,e3) ),
inference(cnf_transformation,[],[f57]) ).
fof(f645,plain,
( ~ spl3_77
| spl3_78 ),
inference(avatar_split_clause,[],[f191,f642,f638]) ).
fof(f191,plain,
( e2 = op(e2,e3)
| e3 != op(e2,e2) ),
inference(cnf_transformation,[],[f57]) ).
fof(f636,plain,
( ~ spl3_75
| spl3_76 ),
inference(avatar_split_clause,[],[f189,f633,f629]) ).
fof(f189,plain,
( e2 = op(e2,e1)
| e1 != op(e2,e2) ),
inference(cnf_transformation,[],[f57]) ).
fof(f627,plain,
( ~ spl3_73
| spl3_74 ),
inference(avatar_split_clause,[],[f188,f624,f620]) ).
fof(f188,plain,
( e2 = op(e2,e0)
| e0 != op(e2,e2) ),
inference(cnf_transformation,[],[f57]) ).
fof(f618,plain,
( ~ spl3_71
| spl3_72 ),
inference(avatar_split_clause,[],[f187,f615,f611]) ).
fof(f187,plain,
( e1 = op(e1,e3)
| e3 != op(e1,e1) ),
inference(cnf_transformation,[],[f57]) ).
fof(f609,plain,
( ~ spl3_69
| spl3_70 ),
inference(avatar_split_clause,[],[f186,f606,f602]) ).
fof(f186,plain,
( e1 = op(e1,e2)
| e2 != op(e1,e1) ),
inference(cnf_transformation,[],[f57]) ).
fof(f600,plain,
( ~ spl3_67
| spl3_68 ),
inference(avatar_split_clause,[],[f184,f597,f593]) ).
fof(f184,plain,
( e1 = op(e1,e0)
| e0 != op(e1,e1) ),
inference(cnf_transformation,[],[f57]) ).
fof(f591,plain,
( ~ spl3_65
| spl3_66 ),
inference(avatar_split_clause,[],[f183,f588,f584]) ).
fof(f183,plain,
( e0 = op(e0,e3)
| op(e0,e0) != e3 ),
inference(cnf_transformation,[],[f57]) ).
fof(f582,plain,
( ~ spl3_63
| spl3_64 ),
inference(avatar_split_clause,[],[f182,f579,f575]) ).
fof(f182,plain,
( e0 = op(e0,e2)
| op(e0,e0) != e2 ),
inference(cnf_transformation,[],[f57]) ).
fof(f573,plain,
( ~ spl3_61
| spl3_62 ),
inference(avatar_split_clause,[],[f181,f570,f566]) ).
fof(f181,plain,
( e0 = op(e0,e1)
| op(e0,e0) != e1 ),
inference(cnf_transformation,[],[f57]) ).
fof(f564,plain,
( ~ spl3_59
| ~ spl3_60 ),
inference(avatar_split_clause,[],[f171,f561,f557]) ).
fof(f171,plain,
( op(e0,e0) != op(e0,op(e0,e0))
| ~ sP0 ),
inference(cnf_transformation,[],[f60]) ).
fof(f555,plain,
( ~ spl3_57
| ~ spl3_58 ),
inference(avatar_split_clause,[],[f167,f552,f548]) ).
fof(f167,plain,
( op(e1,e0) != op(e0,op(e1,e0))
| ~ sP1 ),
inference(cnf_transformation,[],[f59]) ).
fof(f546,plain,
( ~ spl3_55
| ~ spl3_56 ),
inference(avatar_split_clause,[],[f163,f543,f539]) ).
fof(f163,plain,
( op(e2,e0) != op(e0,op(e2,e0))
| ~ sP2 ),
inference(cnf_transformation,[],[f58]) ).
fof(f537,plain,
~ spl3_54,
inference(avatar_split_clause,[],[f114,f534]) ).
fof(f114,plain,
op(e3,e2) != op(e3,e3),
inference(cnf_transformation,[],[f3]) ).
fof(f3,axiom,
( op(e3,e2) != op(e3,e3)
& op(e3,e1) != op(e3,e3)
& op(e3,e1) != op(e3,e2)
& op(e3,e0) != op(e3,e3)
& op(e3,e0) != op(e3,e2)
& op(e3,e0) != op(e3,e1)
& op(e2,e2) != op(e2,e3)
& op(e2,e1) != op(e2,e3)
& op(e2,e1) != op(e2,e2)
& op(e2,e0) != op(e2,e3)
& op(e2,e0) != op(e2,e2)
& op(e2,e0) != op(e2,e1)
& op(e1,e2) != op(e1,e3)
& op(e1,e1) != op(e1,e3)
& op(e1,e1) != op(e1,e2)
& op(e1,e0) != op(e1,e3)
& op(e1,e0) != op(e1,e2)
& op(e1,e0) != op(e1,e1)
& op(e0,e2) != op(e0,e3)
& op(e0,e1) != op(e0,e3)
& op(e0,e1) != op(e0,e2)
& op(e0,e0) != op(e0,e3)
& op(e0,e0) != op(e0,e2)
& op(e0,e0) != op(e0,e1)
& op(e2,e3) != op(e3,e3)
& op(e1,e3) != op(e3,e3)
& op(e1,e3) != op(e2,e3)
& op(e0,e3) != op(e3,e3)
& op(e0,e3) != op(e2,e3)
& op(e0,e3) != op(e1,e3)
& op(e2,e2) != op(e3,e2)
& op(e1,e2) != op(e3,e2)
& op(e1,e2) != op(e2,e2)
& op(e0,e2) != op(e3,e2)
& op(e0,e2) != op(e2,e2)
& op(e0,e2) != op(e1,e2)
& op(e2,e1) != op(e3,e1)
& op(e1,e1) != op(e3,e1)
& op(e1,e1) != op(e2,e1)
& op(e0,e1) != op(e3,e1)
& op(e0,e1) != op(e2,e1)
& op(e0,e1) != op(e1,e1)
& op(e2,e0) != op(e3,e0)
& op(e1,e0) != op(e3,e0)
& op(e1,e0) != op(e2,e0)
& op(e0,e0) != op(e3,e0)
& op(e0,e0) != op(e2,e0)
& op(e0,e0) != op(e1,e0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax3) ).
fof(f532,plain,
~ spl3_53,
inference(avatar_split_clause,[],[f113,f529]) ).
fof(f113,plain,
op(e3,e1) != op(e3,e3),
inference(cnf_transformation,[],[f3]) ).
fof(f527,plain,
~ spl3_52,
inference(avatar_split_clause,[],[f112,f524]) ).
fof(f112,plain,
op(e3,e1) != op(e3,e2),
inference(cnf_transformation,[],[f3]) ).
fof(f522,plain,
~ spl3_51,
inference(avatar_split_clause,[],[f111,f519]) ).
fof(f111,plain,
op(e3,e0) != op(e3,e3),
inference(cnf_transformation,[],[f3]) ).
fof(f517,plain,
~ spl3_50,
inference(avatar_split_clause,[],[f110,f514]) ).
fof(f110,plain,
op(e3,e0) != op(e3,e2),
inference(cnf_transformation,[],[f3]) ).
fof(f512,plain,
~ spl3_49,
inference(avatar_split_clause,[],[f109,f509]) ).
fof(f109,plain,
op(e3,e0) != op(e3,e1),
inference(cnf_transformation,[],[f3]) ).
fof(f507,plain,
~ spl3_48,
inference(avatar_split_clause,[],[f108,f504]) ).
fof(f108,plain,
op(e2,e2) != op(e2,e3),
inference(cnf_transformation,[],[f3]) ).
fof(f502,plain,
~ spl3_47,
inference(avatar_split_clause,[],[f107,f499]) ).
fof(f107,plain,
op(e2,e1) != op(e2,e3),
inference(cnf_transformation,[],[f3]) ).
fof(f497,plain,
~ spl3_46,
inference(avatar_split_clause,[],[f106,f494]) ).
fof(f106,plain,
op(e2,e1) != op(e2,e2),
inference(cnf_transformation,[],[f3]) ).
fof(f492,plain,
~ spl3_45,
inference(avatar_split_clause,[],[f105,f489]) ).
fof(f105,plain,
op(e2,e0) != op(e2,e3),
inference(cnf_transformation,[],[f3]) ).
fof(f487,plain,
~ spl3_44,
inference(avatar_split_clause,[],[f104,f484]) ).
fof(f104,plain,
op(e2,e0) != op(e2,e2),
inference(cnf_transformation,[],[f3]) ).
fof(f482,plain,
~ spl3_43,
inference(avatar_split_clause,[],[f103,f479]) ).
fof(f103,plain,
op(e2,e0) != op(e2,e1),
inference(cnf_transformation,[],[f3]) ).
fof(f477,plain,
~ spl3_42,
inference(avatar_split_clause,[],[f102,f474]) ).
fof(f102,plain,
op(e1,e2) != op(e1,e3),
inference(cnf_transformation,[],[f3]) ).
fof(f472,plain,
~ spl3_41,
inference(avatar_split_clause,[],[f101,f469]) ).
fof(f101,plain,
op(e1,e1) != op(e1,e3),
inference(cnf_transformation,[],[f3]) ).
fof(f467,plain,
~ spl3_40,
inference(avatar_split_clause,[],[f100,f464]) ).
fof(f464,plain,
( spl3_40
<=> op(e1,e1) = op(e1,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_40])]) ).
fof(f100,plain,
op(e1,e1) != op(e1,e2),
inference(cnf_transformation,[],[f3]) ).
fof(f462,plain,
~ spl3_39,
inference(avatar_split_clause,[],[f99,f459]) ).
fof(f99,plain,
op(e1,e0) != op(e1,e3),
inference(cnf_transformation,[],[f3]) ).
fof(f457,plain,
~ spl3_38,
inference(avatar_split_clause,[],[f98,f454]) ).
fof(f98,plain,
op(e1,e0) != op(e1,e2),
inference(cnf_transformation,[],[f3]) ).
fof(f452,plain,
~ spl3_37,
inference(avatar_split_clause,[],[f97,f449]) ).
fof(f97,plain,
op(e1,e0) != op(e1,e1),
inference(cnf_transformation,[],[f3]) ).
fof(f447,plain,
~ spl3_36,
inference(avatar_split_clause,[],[f96,f444]) ).
fof(f96,plain,
op(e0,e2) != op(e0,e3),
inference(cnf_transformation,[],[f3]) ).
fof(f442,plain,
~ spl3_35,
inference(avatar_split_clause,[],[f95,f439]) ).
fof(f95,plain,
op(e0,e1) != op(e0,e3),
inference(cnf_transformation,[],[f3]) ).
fof(f437,plain,
~ spl3_34,
inference(avatar_split_clause,[],[f94,f434]) ).
fof(f94,plain,
op(e0,e1) != op(e0,e2),
inference(cnf_transformation,[],[f3]) ).
fof(f432,plain,
~ spl3_33,
inference(avatar_split_clause,[],[f93,f429]) ).
fof(f93,plain,
op(e0,e0) != op(e0,e3),
inference(cnf_transformation,[],[f3]) ).
fof(f427,plain,
~ spl3_32,
inference(avatar_split_clause,[],[f92,f424]) ).
fof(f92,plain,
op(e0,e0) != op(e0,e2),
inference(cnf_transformation,[],[f3]) ).
fof(f422,plain,
~ spl3_31,
inference(avatar_split_clause,[],[f91,f419]) ).
fof(f91,plain,
op(e0,e0) != op(e0,e1),
inference(cnf_transformation,[],[f3]) ).
fof(f417,plain,
~ spl3_30,
inference(avatar_split_clause,[],[f90,f414]) ).
fof(f90,plain,
op(e2,e3) != op(e3,e3),
inference(cnf_transformation,[],[f3]) ).
fof(f412,plain,
~ spl3_29,
inference(avatar_split_clause,[],[f89,f409]) ).
fof(f409,plain,
( spl3_29
<=> op(e1,e3) = op(e3,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_29])]) ).
fof(f89,plain,
op(e1,e3) != op(e3,e3),
inference(cnf_transformation,[],[f3]) ).
fof(f407,plain,
~ spl3_28,
inference(avatar_split_clause,[],[f88,f404]) ).
fof(f88,plain,
op(e1,e3) != op(e2,e3),
inference(cnf_transformation,[],[f3]) ).
fof(f402,plain,
~ spl3_27,
inference(avatar_split_clause,[],[f87,f399]) ).
fof(f399,plain,
( spl3_27
<=> op(e0,e3) = op(e3,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_27])]) ).
fof(f87,plain,
op(e0,e3) != op(e3,e3),
inference(cnf_transformation,[],[f3]) ).
fof(f397,plain,
~ spl3_26,
inference(avatar_split_clause,[],[f86,f394]) ).
fof(f86,plain,
op(e0,e3) != op(e2,e3),
inference(cnf_transformation,[],[f3]) ).
fof(f392,plain,
~ spl3_25,
inference(avatar_split_clause,[],[f85,f389]) ).
fof(f85,plain,
op(e0,e3) != op(e1,e3),
inference(cnf_transformation,[],[f3]) ).
fof(f387,plain,
~ spl3_24,
inference(avatar_split_clause,[],[f84,f384]) ).
fof(f384,plain,
( spl3_24
<=> op(e2,e2) = op(e3,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_24])]) ).
fof(f84,plain,
op(e2,e2) != op(e3,e2),
inference(cnf_transformation,[],[f3]) ).
fof(f382,plain,
~ spl3_23,
inference(avatar_split_clause,[],[f83,f379]) ).
fof(f83,plain,
op(e1,e2) != op(e3,e2),
inference(cnf_transformation,[],[f3]) ).
fof(f377,plain,
~ spl3_22,
inference(avatar_split_clause,[],[f82,f374]) ).
fof(f82,plain,
op(e1,e2) != op(e2,e2),
inference(cnf_transformation,[],[f3]) ).
fof(f372,plain,
~ spl3_21,
inference(avatar_split_clause,[],[f81,f369]) ).
fof(f81,plain,
op(e0,e2) != op(e3,e2),
inference(cnf_transformation,[],[f3]) ).
fof(f367,plain,
~ spl3_20,
inference(avatar_split_clause,[],[f80,f364]) ).
fof(f80,plain,
op(e0,e2) != op(e2,e2),
inference(cnf_transformation,[],[f3]) ).
fof(f362,plain,
~ spl3_19,
inference(avatar_split_clause,[],[f79,f359]) ).
fof(f79,plain,
op(e0,e2) != op(e1,e2),
inference(cnf_transformation,[],[f3]) ).
fof(f357,plain,
~ spl3_18,
inference(avatar_split_clause,[],[f78,f354]) ).
fof(f78,plain,
op(e2,e1) != op(e3,e1),
inference(cnf_transformation,[],[f3]) ).
fof(f352,plain,
~ spl3_17,
inference(avatar_split_clause,[],[f77,f349]) ).
fof(f77,plain,
op(e1,e1) != op(e3,e1),
inference(cnf_transformation,[],[f3]) ).
fof(f347,plain,
~ spl3_16,
inference(avatar_split_clause,[],[f76,f344]) ).
fof(f76,plain,
op(e1,e1) != op(e2,e1),
inference(cnf_transformation,[],[f3]) ).
fof(f342,plain,
~ spl3_15,
inference(avatar_split_clause,[],[f75,f339]) ).
fof(f75,plain,
op(e0,e1) != op(e3,e1),
inference(cnf_transformation,[],[f3]) ).
fof(f337,plain,
~ spl3_14,
inference(avatar_split_clause,[],[f74,f334]) ).
fof(f74,plain,
op(e0,e1) != op(e2,e1),
inference(cnf_transformation,[],[f3]) ).
fof(f332,plain,
~ spl3_13,
inference(avatar_split_clause,[],[f73,f329]) ).
fof(f73,plain,
op(e0,e1) != op(e1,e1),
inference(cnf_transformation,[],[f3]) ).
fof(f327,plain,
~ spl3_12,
inference(avatar_split_clause,[],[f72,f324]) ).
fof(f72,plain,
op(e2,e0) != op(e3,e0),
inference(cnf_transformation,[],[f3]) ).
fof(f322,plain,
~ spl3_11,
inference(avatar_split_clause,[],[f71,f319]) ).
fof(f319,plain,
( spl3_11
<=> op(e1,e0) = op(e3,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_11])]) ).
fof(f71,plain,
op(e1,e0) != op(e3,e0),
inference(cnf_transformation,[],[f3]) ).
fof(f317,plain,
~ spl3_10,
inference(avatar_split_clause,[],[f70,f314]) ).
fof(f314,plain,
( spl3_10
<=> op(e1,e0) = op(e2,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_10])]) ).
fof(f70,plain,
op(e1,e0) != op(e2,e0),
inference(cnf_transformation,[],[f3]) ).
fof(f312,plain,
~ spl3_9,
inference(avatar_split_clause,[],[f69,f309]) ).
fof(f309,plain,
( spl3_9
<=> op(e0,e0) = op(e3,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_9])]) ).
fof(f69,plain,
op(e0,e0) != op(e3,e0),
inference(cnf_transformation,[],[f3]) ).
fof(f307,plain,
~ spl3_8,
inference(avatar_split_clause,[],[f68,f304]) ).
fof(f68,plain,
op(e0,e0) != op(e2,e0),
inference(cnf_transformation,[],[f3]) ).
fof(f302,plain,
~ spl3_7,
inference(avatar_split_clause,[],[f67,f299]) ).
fof(f299,plain,
( spl3_7
<=> op(e0,e0) = op(e1,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_7])]) ).
fof(f67,plain,
op(e0,e0) != op(e1,e0),
inference(cnf_transformation,[],[f3]) ).
fof(f297,plain,
~ spl3_6,
inference(avatar_split_clause,[],[f66,f294]) ).
fof(f66,plain,
e2 != e3,
inference(cnf_transformation,[],[f4]) ).
fof(f4,axiom,
( e2 != e3
& e1 != e3
& e1 != e2
& e0 != e3
& e0 != e2
& e0 != e1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax4) ).
fof(f292,plain,
~ spl3_5,
inference(avatar_split_clause,[],[f65,f289]) ).
fof(f65,plain,
e1 != e3,
inference(cnf_transformation,[],[f4]) ).
fof(f287,plain,
~ spl3_4,
inference(avatar_split_clause,[],[f64,f284]) ).
fof(f64,plain,
e1 != e2,
inference(cnf_transformation,[],[f4]) ).
fof(f282,plain,
~ spl3_3,
inference(avatar_split_clause,[],[f63,f279]) ).
fof(f63,plain,
e0 != e3,
inference(cnf_transformation,[],[f4]) ).
fof(f277,plain,
~ spl3_2,
inference(avatar_split_clause,[],[f62,f274]) ).
fof(f62,plain,
e0 != e2,
inference(cnf_transformation,[],[f4]) ).
fof(f272,plain,
~ spl3_1,
inference(avatar_split_clause,[],[f61,f269]) ).
fof(f61,plain,
e0 != e1,
inference(cnf_transformation,[],[f4]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.13 % Problem : ALG150+1 : TPTP v8.1.2. Released v2.7.0.
% 0.06/0.15 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.36 % Computer : n005.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Fri May 3 19:57:08 EDT 2024
% 0.14/0.36 % CPUTime :
% 0.14/0.37 % (24235)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.39 % (24238)WARNING: value z3 for option sas not known
% 0.21/0.39 % (24241)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)
% 0.21/0.39 % (24238)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on theBenchmark for (569ds/0Mi)
% 0.21/0.39 % (24239)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.21/0.39 % (24240)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)
% 0.21/0.39 % (24237)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.21/0.39 % (24242)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)
% 0.21/0.39 % (24236)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.21/0.40 Detected minimum model sizes of [4]
% 0.21/0.40 Detected maximum model sizes of [max]
% 0.21/0.40 TRYING [4]
% 0.21/0.41 TRYING [5]
% 0.21/0.43 Detected minimum model sizes of [4]
% 0.21/0.43 Detected maximum model sizes of [max]
% 0.21/0.43 TRYING [4]
% 0.21/0.43 TRYING [6]
% 0.21/0.45 TRYING [5]
% 0.21/0.45 TRYING [7]
% 0.21/0.48 TRYING [6]
% 0.21/0.49 TRYING [8]
% 1.13/0.53 TRYING [7]
% 1.13/0.53 TRYING [9]
% 1.29/0.58 TRYING [10]
% 1.29/0.59 TRYING [8]
% 1.29/0.62 TRYING [11]
% 1.95/0.66 TRYING [9]
% 2.32/0.70 TRYING [12]
% 2.32/0.74 TRYING [10]
% 2.87/0.80 TRYING [13]
% 3.15/0.84 TRYING [11]
% 3.37/0.91 TRYING [14]
% 3.37/0.93 TRYING [12]
% 4.04/0.98 % (24240)First to succeed.
% 4.42/1.01 % (24240)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-24235"
% 4.42/1.01 % (24240)Refutation found. Thanks to Tanya!
% 4.42/1.01 % SZS status Unsatisfiable for theBenchmark
% 4.42/1.01 % SZS output start Proof for theBenchmark
% See solution above
% 4.42/1.03 % (24240)------------------------------
% 4.42/1.03 % (24240)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 4.42/1.03 % (24240)Termination reason: Refutation
% 4.42/1.03
% 4.42/1.03 % (24240)Memory used [KB]: 3913
% 4.42/1.03 % (24240)Time elapsed: 0.623 s
% 4.42/1.03 % (24240)Instructions burned: 1538 (million)
% 4.42/1.03 % (24235)Success in time 0.653 s
%------------------------------------------------------------------------------