TSTP Solution File: LCL096-10 by Vampire-SAT---4.9

%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.9
% Problem  : LCL096-10 : TPTP v8.2.0. Released v7.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire %s %d SAT

% Computer : n029.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Mon Jun 24 11:35:26 EDT 2024

% Result   : Unsatisfiable 9.09s 1.64s
% Output   : Refutation 9.09s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :  441
% Syntax   : Number of formulae    : 1506 (  13 unt;   0 def)
%            Number of atoms       : 3982 (1068 equ)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives : 4518 (2042   ~;2041   |;   0   &)
%                                         ( 435 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   22 (   9 avg)
%            Maximal term depth    :   13 (   2 avg)
%            Number of predicates  :  437 ( 435 usr; 436 prp; 0-2 aty)
%            Number of functors    :    7 (   7 usr;   4 con; 0-4 aty)
%            Number of variables   : 9866 (9866   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f9093,plain,
    $false,
    inference(avatar_sat_refutation,[],[f11,f15,f19,f23,f31,f35,f47,f51,f68,f72,f76,f80,f84,f109,f138,f142,f166,f177,f181,f185,f193,f197,f220,f224,f274,f284,f289,f293,f297,f301,f310,f319,f324,f329,f337,f342,f347,f351,f358,f363,f367,f383,f388,f393,f397,f401,f405,f409,f428,f432,f470,f511,f515,f558,f562,f566,f668,f675,f682,f686,f690,f700,f707,f711,f715,f730,f734,f738,f754,f770,f774,f778,f782,f818,f825,f829,f833,f837,f841,f845,f849,f872,f876,f880,f884,f888,f892,f896,f900,f904,f908,f912,f916,f920,f927,f961,f968,f972,f976,f980,f984,f988,f992,f996,f1036,f1040,f1136,f1140,f1146,f1150,f1160,f1164,f1168,f1172,f1176,f1270,f1274,f1278,f1282,f1286,f1290,f1294,f1298,f1302,f1306,f1310,f1314,f1395,f1399,f1403,f1407,f1411,f1650,f1655,f1659,f1667,f1671,f1675,f1681,f1685,f1689,f1693,f1697,f1701,f1705,f1709,f1713,f1847,f1851,f1855,f1859,f1863,f1991,f2059,f2065,f2069,f2073,f2077,f2081,f2085,f2089,f2093,f2097,f2101,f2105,f2109,f2168,f2172,f2361,f2365,f2370,f2374,f2378,f2382,f2387,f2391,f2395,f2399,f2403,f2484,f2489,f2514,f2518,f2522,f2526,f2531,f2535,f2539,f2543,f2547,f2552,f2651,f2655,f2659,f2663,f2667,f2671,f2892,f2904,f2909,f2913,f2917,f2921,f2925,f2929,f2933,f2938,f2942,f2946,f2950,f2954,f2959,f2963,f2967,f2971,f3083,f3087,f3092,f3096,f3100,f3104,f3108,f3113,f3117,f3121,f3125,f3233,f3237,f3241,f3344,f3348,f3352,f3356,f3360,f3372,f3409,f3413,f3417,f3421,f3425,f3429,f3535,f3539,f3543,f3605,f3627,f3631,f3635,f3639,f3643,f3647,f3651,f3655,f3659,f3663,f3667,f3768,f3772,f3776,f3780,f3784,f3788,f3792,f3796,f3807,f3811,f3815,f3819,f3871,f3925,f3929,f3933,f3937,f4023,f4027,f4031,f4035,f4039,f4083,f4122,f4126,f4130,f4134,f4138,f4142,f4146,f4150,f4154,f4224,f4228,f4232,f4236,f4240,f4244,f4248,f4252,f4256,f4260,f4264,f4268,f4272,f4276,f4280,f4284,f4288,f4292,f4296,f4300,f4304,f4308,f4528,f4532,f4536,f4540,f4771,f4854,f4858,f4901,f4905,f4909,f4913,f4917,f4921,f4925,f4929,f4933,f4937,f4969,f4973,f4977,f4981,f4985,f4989,f4993,f4997,f5001,f5005,f5038,f5042,f5046,f5050,f5054,f5058,f5062,f5066,f5070,f5074,f5078,f5291,f5387,f5409,f5413,f5417,f5421,f5425,f5429,f5433,f5437,f5441,f5445,f5449,f5453,f5457,f5461,f5465,f5469,f5473,f5501,f5934,f5938,f5979,f6012,f6016,f6020,f6024,f6028,f6032,f6036,f6040,f6044,f6171,f6175,f6872,f7181,f7241,f7245,f7249,f7253,f7257,f7261,f7265,f7269,f7274,f7278,f7282,f7286,f7290,f7294,f7298,f7302,f7306,f7310,f7314,f8046,f8050,f8054,f8183,f8187,f8192,f8196,f8200,f8204,f8208,f8213,f8228,f8233,f8237,f8241,f8245,f8249,f8253,f8257,f8261,f8265,f8376,f8380,f8384,f8388,f8392,f8593,f8941,f8945,f8949,f8953,f8958,f9053]) ).

fof(f9053,plain,
    ( spl0_1
    | ~ spl0_430 ),
    inference(avatar_contradiction_clause,[],[f9052]) ).

fof(f9052,plain,
    ( $false
    | spl0_1
    | ~ spl0_430 ),
    inference(trivial_inequality_removal,[],[f8970]) ).

fof(f8970,plain,
    ( true != true
    | spl0_1
    | ~ spl0_430 ),
    inference(superposition,[],[f10,f8592]) ).

fof(f8592,plain,
    ( ! [X2,X0,X1] : true = is_a_theorem(equivalent(equivalent(equivalent(X0,equivalent(equivalent(X1,X1),X0)),X2),X2))
    | ~ spl0_430 ),
    inference(avatar_component_clause,[],[f8591]) ).

fof(f8591,plain,
    ( spl0_430
  <=> ! [X2,X0,X1] : true = is_a_theorem(equivalent(equivalent(equivalent(X0,equivalent(equivalent(X1,X1),X0)),X2),X2)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_430])]) ).

fof(f10,plain,
    ( true != is_a_theorem(equivalent(equivalent(equivalent(a,equivalent(equivalent(b,b),a)),c),c))
    | spl0_1 ),
    inference(avatar_component_clause,[],[f8]) ).

fof(f8,plain,
    ( spl0_1
  <=> true = is_a_theorem(equivalent(equivalent(equivalent(a,equivalent(equivalent(b,b),a)),c),c)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

fof(f8958,plain,
    ( spl0_435
    | ~ spl0_55
    | ~ spl0_130 ),
    inference(avatar_split_clause,[],[f1508,f1401,f560,f8956]) ).

fof(f8956,plain,
    ( spl0_435
  <=> ! [X3,X4,X0,X5,X2,X1] : true = ifeq(true,true,ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),X3),X4),equivalent(equivalent(X5,X3),equivalent(equivalent(equivalent(X1,X2),X5),X4)))),true,true,true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_435])]) ).

fof(f560,plain,
    ( spl0_55
  <=> ! [X3,X4,X0,X5,X2,X1] : true = is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),X3),X4),X5),equivalent(equivalent(equivalent(equivalent(X1,X2),X3),X4),X5))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_55])]) ).

fof(f1401,plain,
    ( spl0_130
  <=> ! [X4,X0,X3,X2,X1] : true = ifeq(is_a_theorem(equivalent(X4,equivalent(equivalent(equivalent(X0,X1),X2),equivalent(equivalent(X3,X1),equivalent(equivalent(X0,X3),X2))))),true,ifeq(is_a_theorem(X4),true,true,true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_130])]) ).

fof(f1508,plain,
    ( ! [X2,X3,X0,X1,X4,X5] : true = ifeq(true,true,ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),X3),X4),equivalent(equivalent(X5,X3),equivalent(equivalent(equivalent(X1,X2),X5),X4)))),true,true,true),true)
    | ~ spl0_55
    | ~ spl0_130 ),
    inference(superposition,[],[f1402,f561]) ).

fof(f561,plain,
    ( ! [X2,X3,X0,X1,X4,X5] : true = is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),X3),X4),X5),equivalent(equivalent(equivalent(equivalent(X1,X2),X3),X4),X5)))
    | ~ spl0_55 ),
    inference(avatar_component_clause,[],[f560]) ).

fof(f1402,plain,
    ( ! [X2,X3,X0,X1,X4] : true = ifeq(is_a_theorem(equivalent(X4,equivalent(equivalent(equivalent(X0,X1),X2),equivalent(equivalent(X3,X1),equivalent(equivalent(X0,X3),X2))))),true,ifeq(is_a_theorem(X4),true,true,true),true)
    | ~ spl0_130 ),
    inference(avatar_component_clause,[],[f1401]) ).

fof(f8953,plain,
    ( spl0_434
    | ~ spl0_55
    | ~ spl0_128 ),
    inference(avatar_split_clause,[],[f1415,f1393,f560,f8951]) ).

fof(f8951,plain,
    ( spl0_434
  <=> ! [X3,X4,X0,X5,X2,X1] : true = ifeq(true,true,ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),X3),equivalent(equivalent(X1,X2),X4)),equivalent(equivalent(X5,X3),equivalent(X5,X4)))),true,true,true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_434])]) ).

fof(f1393,plain,
    ( spl0_128
  <=> ! [X4,X0,X3,X2,X1] : true = ifeq(is_a_theorem(equivalent(X4,equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),equivalent(equivalent(X3,X1),equivalent(X3,X2))))),true,ifeq(is_a_theorem(X4),true,true,true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_128])]) ).

fof(f1415,plain,
    ( ! [X2,X3,X0,X1,X4,X5] : true = ifeq(true,true,ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),X3),equivalent(equivalent(X1,X2),X4)),equivalent(equivalent(X5,X3),equivalent(X5,X4)))),true,true,true),true)
    | ~ spl0_55
    | ~ spl0_128 ),
    inference(superposition,[],[f1394,f561]) ).

fof(f1394,plain,
    ( ! [X2,X3,X0,X1,X4] : true = ifeq(is_a_theorem(equivalent(X4,equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),equivalent(equivalent(X3,X1),equivalent(X3,X2))))),true,ifeq(is_a_theorem(X4),true,true,true),true)
    | ~ spl0_128 ),
    inference(avatar_component_clause,[],[f1393]) ).

fof(f8949,plain,
    ( spl0_433
    | ~ spl0_106
    | ~ spl0_116 ),
    inference(avatar_split_clause,[],[f1316,f1268,f1038,f8947]) ).

fof(f8947,plain,
    ( spl0_433
  <=> ! [X5,X4,X2,X0,X6,X3,X1] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),equivalent(X1,X2)),equivalent(equivalent(X3,X4),equivalent(X3,X4))),equivalent(equivalent(X5,X6),equivalent(X5,X6)))),true,true,true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_433])]) ).

fof(f1038,plain,
    ( spl0_106
  <=> ! [X2,X0,X1] : true = ifeq(is_a_theorem(equivalent(X2,equivalent(equivalent(X0,X1),equivalent(X0,X1)))),true,ifeq(is_a_theorem(X2),true,true,true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_106])]) ).

fof(f1268,plain,
    ( spl0_116
  <=> ! [X2,X4,X0,X3,X1] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(X2,X3),equivalent(X2,X4)),equivalent(X3,X4)),equivalent(equivalent(X0,X1),equivalent(X0,X1)))),true,true,true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_116])]) ).

fof(f1316,plain,
    ( ! [X2,X3,X0,X1,X6,X4,X5] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),equivalent(X1,X2)),equivalent(equivalent(X3,X4),equivalent(X3,X4))),equivalent(equivalent(X5,X6),equivalent(X5,X6)))),true,true,true)
    | ~ spl0_106
    | ~ spl0_116 ),
    inference(superposition,[],[f1039,f1269]) ).

fof(f1269,plain,
    ( ! [X2,X3,X0,X1,X4] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(X2,X3),equivalent(X2,X4)),equivalent(X3,X4)),equivalent(equivalent(X0,X1),equivalent(X0,X1)))),true,true,true)
    | ~ spl0_116 ),
    inference(avatar_component_clause,[],[f1268]) ).

fof(f1039,plain,
    ( ! [X2,X0,X1] : true = ifeq(is_a_theorem(equivalent(X2,equivalent(equivalent(X0,X1),equivalent(X0,X1)))),true,ifeq(is_a_theorem(X2),true,true,true),true)
    | ~ spl0_106 ),
    inference(avatar_component_clause,[],[f1038]) ).

fof(f8945,plain,
    ( spl0_432
    | ~ spl0_15
    | ~ spl0_31 ),
    inference(avatar_split_clause,[],[f353,f308,f136,f8943]) ).

fof(f8943,plain,
    ( spl0_432
  <=> ! [X5,X4,X2,X0,X6,X3,X1] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(X0,X0),X1),X1),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X2,X3),equivalent(X2,X4)),X5),equivalent(equivalent(X3,X4),X5)),X6),X6))),true,true,true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_432])]) ).

fof(f136,plain,
    ( spl0_15
  <=> ! [X3,X4,X0,X5,X2,X1] : true = ifeq(is_a_theorem(equivalent(X5,equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),X3),equivalent(equivalent(X1,X2),X3)),X4),X4))),true,ifeq(is_a_theorem(X5),true,true,true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_15])]) ).

fof(f308,plain,
    ( spl0_31
  <=> ! [X2,X0] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(X0,X0),X2),X2)),true,true,true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_31])]) ).

fof(f353,plain,
    ( ! [X2,X3,X0,X1,X6,X4,X5] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(X0,X0),X1),X1),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X2,X3),equivalent(X2,X4)),X5),equivalent(equivalent(X3,X4),X5)),X6),X6))),true,true,true)
    | ~ spl0_15
    | ~ spl0_31 ),
    inference(superposition,[],[f137,f309]) ).

fof(f309,plain,
    ( ! [X2,X0] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(X0,X0),X2),X2)),true,true,true)
    | ~ spl0_31 ),
    inference(avatar_component_clause,[],[f308]) ).

fof(f137,plain,
    ( ! [X2,X3,X0,X1,X4,X5] : true = ifeq(is_a_theorem(equivalent(X5,equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),X3),equivalent(equivalent(X1,X2),X3)),X4),X4))),true,ifeq(is_a_theorem(X5),true,true,true),true)
    | ~ spl0_15 ),
    inference(avatar_component_clause,[],[f136]) ).

fof(f8941,plain,
    ( spl0_431
    | ~ spl0_16
    | ~ spl0_31 ),
    inference(avatar_split_clause,[],[f352,f308,f140,f8939]) ).

fof(f8939,plain,
    ( spl0_431
  <=> ! [X5,X4,X2,X0,X6,X3,X1] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(X0,X0),X1),X1),equivalent(equivalent(equivalent(equivalent(X2,X3),X4),X5),equivalent(equivalent(equivalent(X2,X6),X4),equivalent(equivalent(X3,X6),X5))))),true,true,true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_431])]) ).

fof(f140,plain,
    ( spl0_16
  <=> ! [X2,X3,X4,X0,X5,X1] : true = ifeq(is_a_theorem(equivalent(X5,equivalent(equivalent(equivalent(equivalent(X0,X1),X2),X3),equivalent(equivalent(equivalent(X0,X4),X2),equivalent(equivalent(X1,X4),X3))))),true,ifeq(is_a_theorem(X5),true,true,true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_16])]) ).

fof(f352,plain,
    ( ! [X2,X3,X0,X1,X6,X4,X5] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(X0,X0),X1),X1),equivalent(equivalent(equivalent(equivalent(X2,X3),X4),X5),equivalent(equivalent(equivalent(X2,X6),X4),equivalent(equivalent(X3,X6),X5))))),true,true,true)
    | ~ spl0_16
    | ~ spl0_31 ),
    inference(superposition,[],[f141,f309]) ).

fof(f141,plain,
    ( ! [X2,X3,X0,X1,X4,X5] : true = ifeq(is_a_theorem(equivalent(X5,equivalent(equivalent(equivalent(equivalent(X0,X1),X2),X3),equivalent(equivalent(equivalent(X0,X4),X2),equivalent(equivalent(X1,X4),X3))))),true,ifeq(is_a_theorem(X5),true,true,true),true)
    | ~ spl0_16 ),
    inference(avatar_component_clause,[],[f140]) ).

fof(f8593,plain,
    ( spl0_430
    | ~ spl0_2
    | ~ spl0_406 ),
    inference(avatar_split_clause,[],[f8415,f8052,f13,f8591]) ).

fof(f13,plain,
    ( spl0_2
  <=> ! [X2,X0,X1] : ifeq(X0,X0,X1,X2) = X1 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).

fof(f8052,plain,
    ( spl0_406
  <=> ! [X2,X0,X3] : true = ifeq(true,true,is_a_theorem(equivalent(equivalent(equivalent(X2,equivalent(equivalent(X0,X0),X2)),X3),X3)),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_406])]) ).

fof(f8415,plain,
    ( ! [X2,X0,X1] : true = is_a_theorem(equivalent(equivalent(equivalent(X0,equivalent(equivalent(X1,X1),X0)),X2),X2))
    | ~ spl0_2
    | ~ spl0_406 ),
    inference(superposition,[],[f8053,f14]) ).

fof(f14,plain,
    ( ! [X2,X0,X1] : ifeq(X0,X0,X1,X2) = X1
    | ~ spl0_2 ),
    inference(avatar_component_clause,[],[f13]) ).

fof(f8053,plain,
    ( ! [X2,X3,X0] : true = ifeq(true,true,is_a_theorem(equivalent(equivalent(equivalent(X2,equivalent(equivalent(X0,X0),X2)),X3),X3)),true)
    | ~ spl0_406 ),
    inference(avatar_component_clause,[],[f8052]) ).

fof(f8392,plain,
    ( spl0_429
    | ~ spl0_2
    | ~ spl0_166 ),
    inference(avatar_split_clause,[],[f2163,f2107,f13,f8390]) ).

fof(f8390,plain,
    ( spl0_429
  <=> ! [X5,X3,X4,X2,X0,X6,X1] : true = is_a_theorem(equivalent(equivalent(X0,X1),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X2,X3),equivalent(X2,X4)),X5),X6),X0),equivalent(equivalent(equivalent(equivalent(X3,X4),X5),X6),X1)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_429])]) ).

fof(f2107,plain,
    ( spl0_166
  <=> ! [X5,X3,X4,X0,X6,X2,X1] : true = ifeq(true,true,is_a_theorem(equivalent(equivalent(X5,X4),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),X3),X6),X5),equivalent(equivalent(equivalent(equivalent(X1,X2),X3),X6),X4)))),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_166])]) ).

fof(f2163,plain,
    ( ! [X2,X3,X0,X1,X6,X4,X5] : true = is_a_theorem(equivalent(equivalent(X0,X1),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X2,X3),equivalent(X2,X4)),X5),X6),X0),equivalent(equivalent(equivalent(equivalent(X3,X4),X5),X6),X1))))
    | ~ spl0_2
    | ~ spl0_166 ),
    inference(superposition,[],[f2108,f14]) ).

fof(f2108,plain,
    ( ! [X2,X3,X0,X1,X6,X4,X5] : true = ifeq(true,true,is_a_theorem(equivalent(equivalent(X5,X4),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),X3),X6),X5),equivalent(equivalent(equivalent(equivalent(X1,X2),X3),X6),X4)))),true)
    | ~ spl0_166 ),
    inference(avatar_component_clause,[],[f2107]) ).

fof(f8388,plain,
    ( spl0_428
    | ~ spl0_2
    | ~ spl0_165 ),
    inference(avatar_split_clause,[],[f2161,f2103,f13,f8386]) ).

fof(f8386,plain,
    ( spl0_428
  <=> ! [X5,X3,X2,X0,X4,X6,X1] : true = is_a_theorem(equivalent(equivalent(X0,X1),equivalent(equivalent(equivalent(equivalent(X2,X3),X4),X0),equivalent(equivalent(X5,X4),equivalent(equivalent(equivalent(X2,X6),X5),equivalent(equivalent(X3,X6),X1)))))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_428])]) ).

fof(f2103,plain,
    ( spl0_165
  <=> ! [X5,X6,X4,X0,X3,X2,X1] : true = ifeq(true,true,is_a_theorem(equivalent(equivalent(X5,X3),equivalent(equivalent(equivalent(equivalent(X0,X1),X6),X5),equivalent(equivalent(X2,X6),equivalent(equivalent(equivalent(X0,X4),X2),equivalent(equivalent(X1,X4),X3)))))),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_165])]) ).

fof(f2161,plain,
    ( ! [X2,X3,X0,X1,X6,X4,X5] : true = is_a_theorem(equivalent(equivalent(X0,X1),equivalent(equivalent(equivalent(equivalent(X2,X3),X4),X0),equivalent(equivalent(X5,X4),equivalent(equivalent(equivalent(X2,X6),X5),equivalent(equivalent(X3,X6),X1))))))
    | ~ spl0_2
    | ~ spl0_165 ),
    inference(superposition,[],[f2104,f14]) ).

fof(f2104,plain,
    ( ! [X2,X3,X0,X1,X6,X4,X5] : true = ifeq(true,true,is_a_theorem(equivalent(equivalent(X5,X3),equivalent(equivalent(equivalent(equivalent(X0,X1),X6),X5),equivalent(equivalent(X2,X6),equivalent(equivalent(equivalent(X0,X4),X2),equivalent(equivalent(X1,X4),X3)))))),true)
    | ~ spl0_165 ),
    inference(avatar_component_clause,[],[f2103]) ).

fof(f8384,plain,
    ( spl0_427
    | ~ spl0_2
    | ~ spl0_164 ),
    inference(avatar_split_clause,[],[f2159,f2099,f13,f8382]) ).

fof(f8382,plain,
    ( spl0_427
  <=> ! [X5,X3,X4,X2,X0,X6,X1] : true = is_a_theorem(equivalent(equivalent(equivalent(equivalent(X0,X1),X2),X3),equivalent(equivalent(X4,X2),equivalent(equivalent(X5,X4),equivalent(equivalent(equivalent(X0,X6),X5),equivalent(equivalent(X1,X6),X3)))))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_427])]) ).

fof(f2099,plain,
    ( spl0_164
  <=> ! [X2,X3,X4,X0,X6,X5,X1] : true = ifeq(true,true,is_a_theorem(equivalent(equivalent(equivalent(equivalent(X0,X1),X6),X3),equivalent(equivalent(X2,X6),equivalent(equivalent(X4,X2),equivalent(equivalent(equivalent(X0,X5),X4),equivalent(equivalent(X1,X5),X3)))))),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_164])]) ).

fof(f2159,plain,
    ( ! [X2,X3,X0,X1,X6,X4,X5] : true = is_a_theorem(equivalent(equivalent(equivalent(equivalent(X0,X1),X2),X3),equivalent(equivalent(X4,X2),equivalent(equivalent(X5,X4),equivalent(equivalent(equivalent(X0,X6),X5),equivalent(equivalent(X1,X6),X3))))))
    | ~ spl0_2
    | ~ spl0_164 ),
    inference(superposition,[],[f2100,f14]) ).

fof(f2100,plain,
    ( ! [X2,X3,X0,X1,X6,X4,X5] : true = ifeq(true,true,is_a_theorem(equivalent(equivalent(equivalent(equivalent(X0,X1),X6),X3),equivalent(equivalent(X2,X6),equivalent(equivalent(X4,X2),equivalent(equivalent(equivalent(X0,X5),X4),equivalent(equivalent(X1,X5),X3)))))),true)
    | ~ spl0_164 ),
    inference(avatar_component_clause,[],[f2099]) ).

fof(f8380,plain,
    ( spl0_426
    | ~ spl0_2
    | ~ spl0_163 ),
    inference(avatar_split_clause,[],[f2157,f2095,f13,f8378]) ).

fof(f8378,plain,
    ( spl0_426
  <=> ! [X3,X4,X0,X5,X2,X1] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),X3),X4),equivalent(equivalent(equivalent(X1,X5),X3),equivalent(equivalent(X2,X5),X4)))),true,true,true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_426])]) ).

fof(f2095,plain,
    ( spl0_163
  <=> ! [X3,X4,X0,X5,X2,X1] : true = ifeq(true,true,ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),X3),X4),equivalent(equivalent(equivalent(X1,X5),X3),equivalent(equivalent(X2,X5),X4)))),true,true,true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_163])]) ).

fof(f2157,plain,
    ( ! [X2,X3,X0,X1,X4,X5] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),X3),X4),equivalent(equivalent(equivalent(X1,X5),X3),equivalent(equivalent(X2,X5),X4)))),true,true,true)
    | ~ spl0_2
    | ~ spl0_163 ),
    inference(superposition,[],[f2096,f14]) ).

fof(f2096,plain,
    ( ! [X2,X3,X0,X1,X4,X5] : true = ifeq(true,true,ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),X3),X4),equivalent(equivalent(equivalent(X1,X5),X3),equivalent(equivalent(X2,X5),X4)))),true,true,true),true)
    | ~ spl0_163 ),
    inference(avatar_component_clause,[],[f2095]) ).

fof(f8376,plain,
    ( spl0_425
    | ~ spl0_2
    | ~ spl0_162 ),
    inference(avatar_split_clause,[],[f2155,f2091,f13,f8374]) ).

fof(f8374,plain,
    ( spl0_425
  <=> ! [X3,X4,X0,X5,X2,X1] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X0,equivalent(equivalent(X1,X2),equivalent(X1,X3))),equivalent(X0,X4)),equivalent(equivalent(X2,X3),X4)),X5),X5)),true,true,true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_425])]) ).

fof(f2091,plain,
    ( spl0_162
  <=> ! [X3,X4,X0,X5,X2,X1] : true = ifeq(true,true,ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X0,equivalent(equivalent(X1,X2),equivalent(X1,X3))),equivalent(X0,X4)),equivalent(equivalent(X2,X3),X4)),X5),X5)),true,true,true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_162])]) ).

fof(f2155,plain,
    ( ! [X2,X3,X0,X1,X4,X5] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X0,equivalent(equivalent(X1,X2),equivalent(X1,X3))),equivalent(X0,X4)),equivalent(equivalent(X2,X3),X4)),X5),X5)),true,true,true)
    | ~ spl0_2
    | ~ spl0_162 ),
    inference(superposition,[],[f2092,f14]) ).

fof(f2092,plain,
    ( ! [X2,X3,X0,X1,X4,X5] : true = ifeq(true,true,ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X0,equivalent(equivalent(X1,X2),equivalent(X1,X3))),equivalent(X0,X4)),equivalent(equivalent(X2,X3),X4)),X5),X5)),true,true,true),true)
    | ~ spl0_162 ),
    inference(avatar_component_clause,[],[f2091]) ).

fof(f8265,plain,
    ( spl0_424
    | ~ spl0_2
    | ~ spl0_160 ),
    inference(avatar_split_clause,[],[f2153,f2083,f13,f8263]) ).

fof(f8263,plain,
    ( spl0_424
  <=> ! [X5,X3,X4,X0,X6,X2,X1] : true = is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),X3),X4),X5),equivalent(equivalent(X6,X4),equivalent(equivalent(equivalent(equivalent(X1,X2),X3),X6),X5)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_424])]) ).

fof(f2083,plain,
    ( spl0_160
  <=> ! [X3,X4,X0,X6,X5,X2,X1] : true = ifeq(true,true,is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),X3),X6),X5),equivalent(equivalent(X4,X6),equivalent(equivalent(equivalent(equivalent(X1,X2),X3),X4),X5)))),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_160])]) ).

fof(f2153,plain,
    ( ! [X2,X3,X0,X1,X6,X4,X5] : true = is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),X3),X4),X5),equivalent(equivalent(X6,X4),equivalent(equivalent(equivalent(equivalent(X1,X2),X3),X6),X5))))
    | ~ spl0_2
    | ~ spl0_160 ),
    inference(superposition,[],[f2084,f14]) ).

fof(f2084,plain,
    ( ! [X2,X3,X0,X1,X6,X4,X5] : true = ifeq(true,true,is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),X3),X6),X5),equivalent(equivalent(X4,X6),equivalent(equivalent(equivalent(equivalent(X1,X2),X3),X4),X5)))),true)
    | ~ spl0_160 ),
    inference(avatar_component_clause,[],[f2083]) ).

fof(f8261,plain,
    ( spl0_423
    | ~ spl0_2
    | ~ spl0_159 ),
    inference(avatar_split_clause,[],[f2128,f2079,f13,f8259]) ).

fof(f8259,plain,
    ( spl0_423
  <=> ! [X3,X4,X0,X5,X2,X1] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(X0,equivalent(X1,X2)),equivalent(X0,X3)),X4),equivalent(equivalent(equivalent(X1,X5),X3),equivalent(equivalent(X2,X5),X4)))),true,true,true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_423])]) ).

fof(f2079,plain,
    ( spl0_159
  <=> ! [X3,X4,X0,X5,X2,X1] : true = ifeq(true,true,ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(X0,equivalent(X1,X2)),equivalent(X0,X3)),X4),equivalent(equivalent(equivalent(X1,X5),X3),equivalent(equivalent(X2,X5),X4)))),true,true,true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_159])]) ).

fof(f2128,plain,
    ( ! [X2,X3,X0,X1,X4,X5] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(X0,equivalent(X1,X2)),equivalent(X0,X3)),X4),equivalent(equivalent(equivalent(X1,X5),X3),equivalent(equivalent(X2,X5),X4)))),true,true,true)
    | ~ spl0_2
    | ~ spl0_159 ),
    inference(superposition,[],[f2080,f14]) ).

fof(f2080,plain,
    ( ! [X2,X3,X0,X1,X4,X5] : true = ifeq(true,true,ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(X0,equivalent(X1,X2)),equivalent(X0,X3)),X4),equivalent(equivalent(equivalent(X1,X5),X3),equivalent(equivalent(X2,X5),X4)))),true,true,true),true)
    | ~ spl0_159 ),
    inference(avatar_component_clause,[],[f2079]) ).

fof(f8257,plain,
    ( spl0_422
    | ~ spl0_2
    | ~ spl0_158 ),
    inference(avatar_split_clause,[],[f2125,f2075,f13,f8255]) ).

fof(f8255,plain,
    ( spl0_422
  <=> ! [X3,X4,X0,X5,X2,X1] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(X0,equivalent(equivalent(equivalent(X1,X2),equivalent(X1,X3)),X4)),equivalent(X0,equivalent(equivalent(X2,X3),X4))),X5),X5)),true,true,true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_422])]) ).

fof(f2075,plain,
    ( spl0_158
  <=> ! [X3,X4,X0,X5,X2,X1] : true = ifeq(true,true,ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(X0,equivalent(equivalent(equivalent(X1,X2),equivalent(X1,X3)),X4)),equivalent(X0,equivalent(equivalent(X2,X3),X4))),X5),X5)),true,true,true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_158])]) ).

fof(f2125,plain,
    ( ! [X2,X3,X0,X1,X4,X5] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(X0,equivalent(equivalent(equivalent(X1,X2),equivalent(X1,X3)),X4)),equivalent(X0,equivalent(equivalent(X2,X3),X4))),X5),X5)),true,true,true)
    | ~ spl0_2
    | ~ spl0_158 ),
    inference(superposition,[],[f2076,f14]) ).

fof(f2076,plain,
    ( ! [X2,X3,X0,X1,X4,X5] : true = ifeq(true,true,ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(X0,equivalent(equivalent(equivalent(X1,X2),equivalent(X1,X3)),X4)),equivalent(X0,equivalent(equivalent(X2,X3),X4))),X5),X5)),true,true,true),true)
    | ~ spl0_158 ),
    inference(avatar_component_clause,[],[f2075]) ).

fof(f8253,plain,
    ( spl0_421
    | ~ spl0_2
    | ~ spl0_156 ),
    inference(avatar_split_clause,[],[f2117,f2067,f13,f8251]) ).

fof(f8251,plain,
    ( spl0_421
  <=> ! [X3,X4,X0,X5,X2,X1] : true = ifeq(is_a_theorem(equivalent(equivalent(X0,equivalent(equivalent(X0,equivalent(equivalent(equivalent(equivalent(X1,X2),equivalent(X1,X3)),X4),equivalent(equivalent(X2,X3),X4))),X5)),X5)),true,true,true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_421])]) ).

fof(f2067,plain,
    ( spl0_156
  <=> ! [X3,X4,X0,X5,X2,X1] : true = ifeq(true,true,ifeq(is_a_theorem(equivalent(equivalent(X0,equivalent(equivalent(X0,equivalent(equivalent(equivalent(equivalent(X1,X2),equivalent(X1,X3)),X4),equivalent(equivalent(X2,X3),X4))),X5)),X5)),true,true,true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_156])]) ).

fof(f2117,plain,
    ( ! [X2,X3,X0,X1,X4,X5] : true = ifeq(is_a_theorem(equivalent(equivalent(X0,equivalent(equivalent(X0,equivalent(equivalent(equivalent(equivalent(X1,X2),equivalent(X1,X3)),X4),equivalent(equivalent(X2,X3),X4))),X5)),X5)),true,true,true)
    | ~ spl0_2
    | ~ spl0_156 ),
    inference(superposition,[],[f2068,f14]) ).

fof(f2068,plain,
    ( ! [X2,X3,X0,X1,X4,X5] : true = ifeq(true,true,ifeq(is_a_theorem(equivalent(equivalent(X0,equivalent(equivalent(X0,equivalent(equivalent(equivalent(equivalent(X1,X2),equivalent(X1,X3)),X4),equivalent(equivalent(X2,X3),X4))),X5)),X5)),true,true,true),true)
    | ~ spl0_156 ),
    inference(avatar_component_clause,[],[f2067]) ).

fof(f8249,plain,
    ( spl0_420
    | ~ spl0_2
    | ~ spl0_55
    | ~ spl0_149 ),
    inference(avatar_split_clause,[],[f1979,f1849,f560,f13,f8247]) ).

fof(f8247,plain,
    ( spl0_420
  <=> ! [X2,X3,X4,X0,X5,X1] : true = ifeq(true,true,is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X2),X3),X4),X5),equivalent(equivalent(equivalent(equivalent(X1,X2),equivalent(equivalent(X0,X1),X3)),X4),X5))),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_420])]) ).

fof(f1849,plain,
    ( spl0_149
  <=> ! [X3,X4,X0,X5,X2,X1] : true = ifeq(true,true,ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),X3),X4),X5)),true,is_a_theorem(equivalent(equivalent(equivalent(equivalent(X1,X2),X3),X4),X5)),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_149])]) ).

fof(f1979,plain,
    ( ! [X2,X3,X0,X1,X4,X5] : true = ifeq(true,true,is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X2),X3),X4),X5),equivalent(equivalent(equivalent(equivalent(X1,X2),equivalent(equivalent(X0,X1),X3)),X4),X5))),true)
    | ~ spl0_2
    | ~ spl0_55
    | ~ spl0_149 ),
    inference(forward_demodulation,[],[f1957,f14]) ).

fof(f1957,plain,
    ( ! [X2,X3,X0,X1,X4,X5] : true = ifeq(true,true,ifeq(true,true,is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X2),X3),X4),X5),equivalent(equivalent(equivalent(equivalent(X1,X2),equivalent(equivalent(X0,X1),X3)),X4),X5))),true),true)
    | ~ spl0_55
    | ~ spl0_149 ),
    inference(superposition,[],[f1850,f561]) ).

fof(f1850,plain,
    ( ! [X2,X3,X0,X1,X4,X5] : true = ifeq(true,true,ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),X3),X4),X5)),true,is_a_theorem(equivalent(equivalent(equivalent(equivalent(X1,X2),X3),X4),X5)),true),true)
    | ~ spl0_149 ),
    inference(avatar_component_clause,[],[f1849]) ).

fof(f8245,plain,
    ( spl0_419
    | ~ spl0_3
    | ~ spl0_132 ),
    inference(avatar_split_clause,[],[f1646,f1409,f17,f8243]) ).

fof(f8243,plain,
    ( spl0_419
  <=> ! [X3,X4,X0,X5,X2,X1] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),X3),X4),equivalent(equivalent(equivalent(X1,X2),X3),X4)),X5),X5)),true,true,true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_419])]) ).

fof(f17,plain,
    ( spl0_3
  <=> ! [X4,X3] : true = ifeq(is_a_theorem(equivalent(X3,X4)),true,ifeq(is_a_theorem(X3),true,is_a_theorem(X4),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).

fof(f1409,plain,
    ( spl0_132
  <=> ! [X3,X4,X0,X5,X2,X1] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),X3),X4),equivalent(equivalent(equivalent(X1,X2),X3),X4)),X5)),true,is_a_theorem(X5),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_132])]) ).

fof(f1646,plain,
    ( ! [X2,X3,X0,X1,X4,X5] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),X3),X4),equivalent(equivalent(equivalent(X1,X2),X3),X4)),X5),X5)),true,true,true)
    | ~ spl0_3
    | ~ spl0_132 ),
    inference(superposition,[],[f18,f1410]) ).

fof(f1410,plain,
    ( ! [X2,X3,X0,X1,X4,X5] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),X3),X4),equivalent(equivalent(equivalent(X1,X2),X3),X4)),X5)),true,is_a_theorem(X5),true)
    | ~ spl0_132 ),
    inference(avatar_component_clause,[],[f1409]) ).

fof(f18,plain,
    ( ! [X3,X4] : true = ifeq(is_a_theorem(equivalent(X3,X4)),true,ifeq(is_a_theorem(X3),true,is_a_theorem(X4),true),true)
    | ~ spl0_3 ),
    inference(avatar_component_clause,[],[f17]) ).

fof(f8241,plain,
    ( spl0_418
    | ~ spl0_2
    | ~ spl0_56
    | ~ spl0_131 ),
    inference(avatar_split_clause,[],[f1622,f1405,f564,f13,f8239]) ).

fof(f8239,plain,
    ( spl0_418
  <=> ! [X2,X3,X4,X0,X5,X1] : true = ifeq(true,true,is_a_theorem(equivalent(equivalent(equivalent(X1,X2),X3),equivalent(equivalent(X4,equivalent(X0,X2)),equivalent(equivalent(equivalent(X0,X5),X4),equivalent(equivalent(X1,X5),X3))))),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_418])]) ).

fof(f564,plain,
    ( spl0_56
  <=> ! [X2,X3,X4,X0,X5,X1] : true = is_a_theorem(equivalent(equivalent(equivalent(equivalent(X0,X1),X2),X3),equivalent(equivalent(X4,X2),equivalent(equivalent(equivalent(X0,X5),X4),equivalent(equivalent(X1,X5),X3))))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_56])]) ).

fof(f1405,plain,
    ( spl0_131
  <=> ! [X4,X0,X3,X2,X1] : true = ifeq(true,true,ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),X3),X4)),true,is_a_theorem(equivalent(equivalent(equivalent(X1,X2),X3),X4)),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_131])]) ).

fof(f1622,plain,
    ( ! [X2,X3,X0,X1,X4,X5] : true = ifeq(true,true,is_a_theorem(equivalent(equivalent(equivalent(X1,X2),X3),equivalent(equivalent(X4,equivalent(X0,X2)),equivalent(equivalent(equivalent(X0,X5),X4),equivalent(equivalent(X1,X5),X3))))),true)
    | ~ spl0_2
    | ~ spl0_56
    | ~ spl0_131 ),
    inference(forward_demodulation,[],[f1602,f14]) ).

fof(f1602,plain,
    ( ! [X2,X3,X0,X1,X4,X5] : true = ifeq(true,true,ifeq(true,true,is_a_theorem(equivalent(equivalent(equivalent(X1,X2),X3),equivalent(equivalent(X4,equivalent(X0,X2)),equivalent(equivalent(equivalent(X0,X5),X4),equivalent(equivalent(X1,X5),X3))))),true),true)
    | ~ spl0_56
    | ~ spl0_131 ),
    inference(superposition,[],[f1406,f565]) ).

fof(f565,plain,
    ( ! [X2,X3,X0,X1,X4,X5] : true = is_a_theorem(equivalent(equivalent(equivalent(equivalent(X0,X1),X2),X3),equivalent(equivalent(X4,X2),equivalent(equivalent(equivalent(X0,X5),X4),equivalent(equivalent(X1,X5),X3)))))
    | ~ spl0_56 ),
    inference(avatar_component_clause,[],[f564]) ).

fof(f1406,plain,
    ( ! [X2,X3,X0,X1,X4] : true = ifeq(true,true,ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),X3),X4)),true,is_a_theorem(equivalent(equivalent(equivalent(X1,X2),X3),X4)),true),true)
    | ~ spl0_131 ),
    inference(avatar_component_clause,[],[f1405]) ).

fof(f8237,plain,
    ( spl0_417
    | ~ spl0_2
    | ~ spl0_55
    | ~ spl0_131 ),
    inference(avatar_split_clause,[],[f1620,f1405,f560,f13,f8235]) ).

fof(f8235,plain,
    ( spl0_417
  <=> ! [X3,X4,X0,X5,X2,X1] : true = ifeq(true,true,is_a_theorem(equivalent(equivalent(equivalent(X3,X4),X5),equivalent(equivalent(equivalent(equivalent(X1,X2),X3),equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),X4)),X5))),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_417])]) ).

fof(f1620,plain,
    ( ! [X2,X3,X0,X1,X4,X5] : true = ifeq(true,true,is_a_theorem(equivalent(equivalent(equivalent(X3,X4),X5),equivalent(equivalent(equivalent(equivalent(X1,X2),X3),equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),X4)),X5))),true)
    | ~ spl0_2
    | ~ spl0_55
    | ~ spl0_131 ),
    inference(forward_demodulation,[],[f1600,f14]) ).

fof(f1600,plain,
    ( ! [X2,X3,X0,X1,X4,X5] : true = ifeq(true,true,ifeq(true,true,is_a_theorem(equivalent(equivalent(equivalent(X3,X4),X5),equivalent(equivalent(equivalent(equivalent(X1,X2),X3),equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),X4)),X5))),true),true)
    | ~ spl0_55
    | ~ spl0_131 ),
    inference(superposition,[],[f1406,f561]) ).

fof(f8233,plain,
    ( spl0_416
    | ~ spl0_31
    | ~ spl0_130 ),
    inference(avatar_split_clause,[],[f1581,f1401,f308,f8231]) ).

fof(f8231,plain,
    ( spl0_416
  <=> ! [X3,X4,X0,X5,X2,X1] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(X0,X0),X1),X1),equivalent(equivalent(equivalent(X2,X3),X4),equivalent(equivalent(X5,X3),equivalent(equivalent(X2,X5),X4))))),true,true,true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_416])]) ).

fof(f1581,plain,
    ( ! [X2,X3,X0,X1,X4,X5] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(X0,X0),X1),X1),equivalent(equivalent(equivalent(X2,X3),X4),equivalent(equivalent(X5,X3),equivalent(equivalent(X2,X5),X4))))),true,true,true)
    | ~ spl0_31
    | ~ spl0_130 ),
    inference(superposition,[],[f1402,f309]) ).

fof(f8228,plain,
    ( spl0_415
    | ~ spl0_53
    | ~ spl0_130 ),
    inference(avatar_split_clause,[],[f1507,f1401,f513,f8226]) ).

fof(f8226,plain,
    ( spl0_415
  <=> ! [X4,X0,X3,X2,X1] : true = ifeq(true,true,ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),X3),equivalent(equivalent(X4,X2),equivalent(equivalent(X1,X4),X3)))),true,true,true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_415])]) ).

fof(f513,plain,
    ( spl0_53
  <=> ! [X4,X0,X3,X2,X1] : true = is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),X3),X4),equivalent(equivalent(equivalent(X1,X2),X3),X4))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_53])]) ).

fof(f1507,plain,
    ( ! [X2,X3,X0,X1,X4] : true = ifeq(true,true,ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),X3),equivalent(equivalent(X4,X2),equivalent(equivalent(X1,X4),X3)))),true,true,true),true)
    | ~ spl0_53
    | ~ spl0_130 ),
    inference(superposition,[],[f1402,f514]) ).

fof(f514,plain,
    ( ! [X2,X3,X0,X1,X4] : true = is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),X3),X4),equivalent(equivalent(equivalent(X1,X2),X3),X4)))
    | ~ spl0_53 ),
    inference(avatar_component_clause,[],[f513]) ).

fof(f8213,plain,
    ( spl0_414
    | ~ spl0_31
    | ~ spl0_128 ),
    inference(avatar_split_clause,[],[f1488,f1393,f308,f8211]) ).

fof(f8211,plain,
    ( spl0_414
  <=> ! [X3,X4,X0,X5,X2,X1] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(X0,X0),X1),X1),equivalent(equivalent(equivalent(X2,X3),equivalent(X2,X4)),equivalent(equivalent(X5,X3),equivalent(X5,X4))))),true,true,true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_414])]) ).

fof(f1488,plain,
    ( ! [X2,X3,X0,X1,X4,X5] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(X0,X0),X1),X1),equivalent(equivalent(equivalent(X2,X3),equivalent(X2,X4)),equivalent(equivalent(X5,X3),equivalent(X5,X4))))),true,true,true)
    | ~ spl0_31
    | ~ spl0_128 ),
    inference(superposition,[],[f1394,f309]) ).

fof(f8208,plain,
    ( spl0_413
    | ~ spl0_53
    | ~ spl0_128 ),
    inference(avatar_split_clause,[],[f1414,f1393,f513,f8206]) ).

fof(f8206,plain,
    ( spl0_413
  <=> ! [X4,X0,X3,X2,X1] : true = ifeq(true,true,ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),equivalent(X1,X3)),equivalent(equivalent(X4,X2),equivalent(X4,X3)))),true,true,true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_413])]) ).

fof(f1414,plain,
    ( ! [X2,X3,X0,X1,X4] : true = ifeq(true,true,ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),equivalent(X1,X3)),equivalent(equivalent(X4,X2),equivalent(X4,X3)))),true,true,true),true)
    | ~ spl0_53
    | ~ spl0_128 ),
    inference(superposition,[],[f1394,f514]) ).

fof(f8204,plain,
    ( spl0_412
    | ~ spl0_56
    | ~ spl0_115 ),
    inference(avatar_split_clause,[],[f1253,f1174,f564,f8202]) ).

fof(f8202,plain,
    ( spl0_412
  <=> ! [X5,X4,X0,X3,X2,X1] : true = ifeq(true,true,is_a_theorem(equivalent(equivalent(X4,X2),equivalent(equivalent(equivalent(X0,X5),X4),equivalent(equivalent(X1,X5),equivalent(equivalent(X3,X1),equivalent(equivalent(X0,X3),X2)))))),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_412])]) ).

fof(f1174,plain,
    ( spl0_115
  <=> ! [X4,X0,X3,X2,X1] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(X0,X1),X2),equivalent(equivalent(X3,X1),equivalent(equivalent(X0,X3),X2))),X4)),true,is_a_theorem(X4),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_115])]) ).

fof(f1253,plain,
    ( ! [X2,X3,X0,X1,X4,X5] : true = ifeq(true,true,is_a_theorem(equivalent(equivalent(X4,X2),equivalent(equivalent(equivalent(X0,X5),X4),equivalent(equivalent(X1,X5),equivalent(equivalent(X3,X1),equivalent(equivalent(X0,X3),X2)))))),true)
    | ~ spl0_56
    | ~ spl0_115 ),
    inference(superposition,[],[f1175,f565]) ).

fof(f1175,plain,
    ( ! [X2,X3,X0,X1,X4] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(X0,X1),X2),equivalent(equivalent(X3,X1),equivalent(equivalent(X0,X3),X2))),X4)),true,is_a_theorem(X4),true)
    | ~ spl0_115 ),
    inference(avatar_component_clause,[],[f1174]) ).

fof(f8200,plain,
    ( spl0_411
    | ~ spl0_55
    | ~ spl0_115 ),
    inference(avatar_split_clause,[],[f1251,f1174,f560,f8198]) ).

fof(f8198,plain,
    ( spl0_411
  <=> ! [X3,X4,X0,X5,X2,X1] : true = ifeq(true,true,is_a_theorem(equivalent(equivalent(equivalent(equivalent(X1,X2),X3),X4),equivalent(equivalent(X5,X3),equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),X5),X4)))),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_411])]) ).

fof(f1251,plain,
    ( ! [X2,X3,X0,X1,X4,X5] : true = ifeq(true,true,is_a_theorem(equivalent(equivalent(equivalent(equivalent(X1,X2),X3),X4),equivalent(equivalent(X5,X3),equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),X5),X4)))),true)
    | ~ spl0_55
    | ~ spl0_115 ),
    inference(superposition,[],[f1175,f561]) ).

fof(f8196,plain,
    ( spl0_410
    | ~ spl0_56
    | ~ spl0_113 ),
    inference(avatar_split_clause,[],[f1212,f1166,f564,f8194]) ).

fof(f8194,plain,
    ( spl0_410
  <=> ! [X3,X4,X0,X5,X2,X1] : true = ifeq(true,true,is_a_theorem(equivalent(equivalent(X4,equivalent(X0,X2)),equivalent(equivalent(equivalent(X0,X5),X4),equivalent(equivalent(X1,X5),equivalent(equivalent(X3,X1),equivalent(X3,X2)))))),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_410])]) ).

fof(f1166,plain,
    ( spl0_113
  <=> ! [X4,X0,X3,X2,X1] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),equivalent(equivalent(X3,X1),equivalent(X3,X2))),X4)),true,is_a_theorem(X4),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_113])]) ).

fof(f1212,plain,
    ( ! [X2,X3,X0,X1,X4,X5] : true = ifeq(true,true,is_a_theorem(equivalent(equivalent(X4,equivalent(X0,X2)),equivalent(equivalent(equivalent(X0,X5),X4),equivalent(equivalent(X1,X5),equivalent(equivalent(X3,X1),equivalent(X3,X2)))))),true)
    | ~ spl0_56
    | ~ spl0_113 ),
    inference(superposition,[],[f1167,f565]) ).

fof(f1167,plain,
    ( ! [X2,X3,X0,X1,X4] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),equivalent(equivalent(X3,X1),equivalent(X3,X2))),X4)),true,is_a_theorem(X4),true)
    | ~ spl0_113 ),
    inference(avatar_component_clause,[],[f1166]) ).

fof(f8192,plain,
    ( spl0_409
    | ~ spl0_55
    | ~ spl0_113 ),
    inference(avatar_split_clause,[],[f1210,f1166,f560,f8190]) ).

fof(f8190,plain,
    ( spl0_409
  <=> ! [X3,X4,X0,X5,X2,X1] : true = ifeq(true,true,is_a_theorem(equivalent(equivalent(equivalent(equivalent(X1,X2),X3),equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),X4)),equivalent(equivalent(X5,X3),equivalent(X5,X4)))),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_409])]) ).

fof(f1210,plain,
    ( ! [X2,X3,X0,X1,X4,X5] : true = ifeq(true,true,is_a_theorem(equivalent(equivalent(equivalent(equivalent(X1,X2),X3),equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),X4)),equivalent(equivalent(X5,X3),equivalent(X5,X4)))),true)
    | ~ spl0_55
    | ~ spl0_113 ),
    inference(superposition,[],[f1167,f561]) ).

fof(f8187,plain,
    ( spl0_408
    | ~ spl0_56
    | ~ spl0_111 ),
    inference(avatar_split_clause,[],[f1187,f1158,f564,f8185]) ).

fof(f8185,plain,
    ( spl0_408
  <=> ! [X5,X4,X0,X3,X1] : true = ifeq(true,true,ifeq(is_a_theorem(equivalent(equivalent(X5,X3),equivalent(X5,equivalent(equivalent(equivalent(X0,X4),equivalent(X0,X1)),equivalent(equivalent(X1,X4),X3))))),true,true,true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_408])]) ).

fof(f1158,plain,
    ( spl0_111
  <=> ! [X0,X3,X2,X1] : true = ifeq(true,true,ifeq(is_a_theorem(equivalent(equivalent(X0,X1),equivalent(X0,X2))),true,is_a_theorem(equivalent(equivalent(X3,X1),equivalent(X3,X2))),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_111])]) ).

fof(f1187,plain,
    ( ! [X3,X0,X1,X4,X5] : true = ifeq(true,true,ifeq(is_a_theorem(equivalent(equivalent(X5,X3),equivalent(X5,equivalent(equivalent(equivalent(X0,X4),equivalent(X0,X1)),equivalent(equivalent(X1,X4),X3))))),true,true,true),true)
    | ~ spl0_56
    | ~ spl0_111 ),
    inference(superposition,[],[f1159,f565]) ).

fof(f1159,plain,
    ( ! [X2,X3,X0,X1] : true = ifeq(true,true,ifeq(is_a_theorem(equivalent(equivalent(X0,X1),equivalent(X0,X2))),true,is_a_theorem(equivalent(equivalent(X3,X1),equivalent(X3,X2))),true),true)
    | ~ spl0_111 ),
    inference(avatar_component_clause,[],[f1158]) ).

fof(f8183,plain,
    ( spl0_407
    | ~ spl0_9
    | ~ spl0_31 ),
    inference(avatar_split_clause,[],[f354,f308,f66,f8181]) ).

fof(f8181,plain,
    ( spl0_407
  <=> ! [X3,X4,X0,X5,X2,X1] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(X0,X0),X1),X1),equivalent(equivalent(equivalent(equivalent(equivalent(X2,X3),equivalent(X2,X4)),equivalent(X3,X4)),X5),X5))),true,true,true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_407])]) ).

fof(f66,plain,
    ( spl0_9
  <=> ! [X4,X0,X3,X2,X1] : true = ifeq(is_a_theorem(equivalent(X4,equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),equivalent(X1,X2)),X3),X3))),true,ifeq(is_a_theorem(X4),true,true,true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).

fof(f354,plain,
    ( ! [X2,X3,X0,X1,X4,X5] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(X0,X0),X1),X1),equivalent(equivalent(equivalent(equivalent(equivalent(X2,X3),equivalent(X2,X4)),equivalent(X3,X4)),X5),X5))),true,true,true)
    | ~ spl0_9
    | ~ spl0_31 ),
    inference(superposition,[],[f67,f309]) ).

fof(f67,plain,
    ( ! [X2,X3,X0,X1,X4] : true = ifeq(is_a_theorem(equivalent(X4,equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),equivalent(X1,X2)),X3),X3))),true,ifeq(is_a_theorem(X4),true,true,true),true)
    | ~ spl0_9 ),
    inference(avatar_component_clause,[],[f66]) ).

fof(f8054,plain,
    ( spl0_406
    | ~ spl0_2
    | ~ spl0_131
    | ~ spl0_380 ),
    inference(avatar_split_clause,[],[f6953,f6042,f1405,f13,f8052]) ).

fof(f6042,plain,
    ( spl0_380
  <=> ! [X4,X0,X3,X2,X1] : true = is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),X2),equivalent(equivalent(X3,X1),equivalent(equivalent(X0,X3),X2))),X4),X4)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_380])]) ).

fof(f6953,plain,
    ( ! [X2,X3,X0] : true = ifeq(true,true,is_a_theorem(equivalent(equivalent(equivalent(X2,equivalent(equivalent(X0,X0),X2)),X3),X3)),true)
    | ~ spl0_2
    | ~ spl0_131
    | ~ spl0_380 ),
    inference(forward_demodulation,[],[f6877,f14]) ).

fof(f6877,plain,
    ( ! [X2,X3,X0] : true = ifeq(true,true,ifeq(true,true,is_a_theorem(equivalent(equivalent(equivalent(X2,equivalent(equivalent(X0,X0),X2)),X3),X3)),true),true)
    | ~ spl0_131
    | ~ spl0_380 ),
    inference(superposition,[],[f1406,f6043]) ).

fof(f6043,plain,
    ( ! [X2,X3,X0,X1,X4] : true = is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),X2),equivalent(equivalent(X3,X1),equivalent(equivalent(X0,X3),X2))),X4),X4))
    | ~ spl0_380 ),
    inference(avatar_component_clause,[],[f6042]) ).

fof(f8050,plain,
    ( spl0_405
    | ~ spl0_2
    | ~ spl0_151 ),
    inference(avatar_split_clause,[],[f2023,f1857,f13,f8048]) ).

fof(f8048,plain,
    ( spl0_405
  <=> ! [X2,X3,X4,X0,X5,X1] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(X0,X1),X2),X3)),true,is_a_theorem(equivalent(equivalent(X4,X2),equivalent(equivalent(equivalent(X0,X5),X4),equivalent(equivalent(X1,X5),X3)))),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_405])]) ).

fof(f1857,plain,
    ( spl0_151
  <=> ! [X2,X3,X4,X0,X5,X1] : true = ifeq(true,true,ifeq(is_a_theorem(equivalent(equivalent(equivalent(X0,X1),X2),X3)),true,is_a_theorem(equivalent(equivalent(X4,X2),equivalent(equivalent(equivalent(X0,X5),X4),equivalent(equivalent(X1,X5),X3)))),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_151])]) ).

fof(f2023,plain,
    ( ! [X2,X3,X0,X1,X4,X5] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(X0,X1),X2),X3)),true,is_a_theorem(equivalent(equivalent(X4,X2),equivalent(equivalent(equivalent(X0,X5),X4),equivalent(equivalent(X1,X5),X3)))),true)
    | ~ spl0_2
    | ~ spl0_151 ),
    inference(superposition,[],[f1858,f14]) ).

fof(f1858,plain,
    ( ! [X2,X3,X0,X1,X4,X5] : true = ifeq(true,true,ifeq(is_a_theorem(equivalent(equivalent(equivalent(X0,X1),X2),X3)),true,is_a_theorem(equivalent(equivalent(X4,X2),equivalent(equivalent(equivalent(X0,X5),X4),equivalent(equivalent(X1,X5),X3)))),true),true)
    | ~ spl0_151 ),
    inference(avatar_component_clause,[],[f1857]) ).

fof(f8046,plain,
    ( spl0_404
    | ~ spl0_2
    | ~ spl0_149 ),
    inference(avatar_split_clause,[],[f1974,f1849,f13,f8044]) ).

fof(f8044,plain,
    ( spl0_404
  <=> ! [X3,X4,X0,X5,X2,X1] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),X3),X4),X5)),true,is_a_theorem(equivalent(equivalent(equivalent(equivalent(X1,X2),X3),X4),X5)),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_404])]) ).

fof(f1974,plain,
    ( ! [X2,X3,X0,X1,X4,X5] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),X3),X4),X5)),true,is_a_theorem(equivalent(equivalent(equivalent(equivalent(X1,X2),X3),X4),X5)),true)
    | ~ spl0_2
    | ~ spl0_149 ),
    inference(superposition,[],[f1850,f14]) ).

fof(f7314,plain,
    ( spl0_403
    | ~ spl0_2
    | ~ spl0_147 ),
    inference(avatar_split_clause,[],[f1842,f1711,f13,f7312]) ).

fof(f7312,plain,
    ( spl0_403
  <=> ! [X2,X3,X4,X0,X5,X1] : true = is_a_theorem(equivalent(equivalent(X0,X1),equivalent(equivalent(equivalent(equivalent(equivalent(X2,X3),equivalent(X2,X4)),X5),X0),equivalent(equivalent(equivalent(X3,X4),X5),X1)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_403])]) ).

fof(f1711,plain,
    ( spl0_147
  <=> ! [X3,X4,X0,X5,X2,X1] : true = ifeq(true,true,is_a_theorem(equivalent(equivalent(X4,X3),equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),X5),X4),equivalent(equivalent(equivalent(X1,X2),X5),X3)))),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_147])]) ).

fof(f1842,plain,
    ( ! [X2,X3,X0,X1,X4,X5] : true = is_a_theorem(equivalent(equivalent(X0,X1),equivalent(equivalent(equivalent(equivalent(equivalent(X2,X3),equivalent(X2,X4)),X5),X0),equivalent(equivalent(equivalent(X3,X4),X5),X1))))
    | ~ spl0_2
    | ~ spl0_147 ),
    inference(superposition,[],[f1712,f14]) ).

fof(f1712,plain,
    ( ! [X2,X3,X0,X1,X4,X5] : true = ifeq(true,true,is_a_theorem(equivalent(equivalent(X4,X3),equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),X5),X4),equivalent(equivalent(equivalent(X1,X2),X5),X3)))),true)
    | ~ spl0_147 ),
    inference(avatar_component_clause,[],[f1711]) ).

fof(f7310,plain,
    ( spl0_402
    | ~ spl0_2
    | ~ spl0_145 ),
    inference(avatar_split_clause,[],[f1840,f1703,f13,f7308]) ).

fof(f7308,plain,
    ( spl0_402
  <=> ! [X4,X0,X3,X2,X1] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X0,equivalent(X1,X2)),equivalent(X0,equivalent(X1,X3))),equivalent(X2,X3)),X4),X4)),true,true,true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_402])]) ).

fof(f1703,plain,
    ( spl0_145
  <=> ! [X4,X0,X3,X2,X1] : true = ifeq(true,true,ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X0,equivalent(X1,X2)),equivalent(X0,equivalent(X1,X3))),equivalent(X2,X3)),X4),X4)),true,true,true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_145])]) ).

fof(f1840,plain,
    ( ! [X2,X3,X0,X1,X4] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X0,equivalent(X1,X2)),equivalent(X0,equivalent(X1,X3))),equivalent(X2,X3)),X4),X4)),true,true,true)
    | ~ spl0_2
    | ~ spl0_145 ),
    inference(superposition,[],[f1704,f14]) ).

fof(f1704,plain,
    ( ! [X2,X3,X0,X1,X4] : true = ifeq(true,true,ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X0,equivalent(X1,X2)),equivalent(X0,equivalent(X1,X3))),equivalent(X2,X3)),X4),X4)),true,true,true),true)
    | ~ spl0_145 ),
    inference(avatar_component_clause,[],[f1703]) ).

fof(f7306,plain,
    ( spl0_401
    | ~ spl0_2
    | ~ spl0_372 ),
    inference(avatar_split_clause,[],[f6177,f6010,f13,f7304]) ).

fof(f7304,plain,
    ( spl0_401
  <=> ! [X0,X3,X2,X1] : true = is_a_theorem(equivalent(equivalent(equivalent(X0,X1),X2),equivalent(equivalent(equivalent(X3,X0),equivalent(X3,X1)),X2))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_401])]) ).

fof(f6010,plain,
    ( spl0_372
  <=> ! [X0,X3,X2,X1] : true = ifeq(true,true,is_a_theorem(equivalent(equivalent(equivalent(X1,X2),X3),equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),X3))),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_372])]) ).

fof(f6177,plain,
    ( ! [X2,X3,X0,X1] : true = is_a_theorem(equivalent(equivalent(equivalent(X0,X1),X2),equivalent(equivalent(equivalent(X3,X0),equivalent(X3,X1)),X2)))
    | ~ spl0_2
    | ~ spl0_372 ),
    inference(superposition,[],[f6011,f14]) ).

fof(f6011,plain,
    ( ! [X2,X3,X0,X1] : true = ifeq(true,true,is_a_theorem(equivalent(equivalent(equivalent(X1,X2),X3),equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),X3))),true)
    | ~ spl0_372 ),
    inference(avatar_component_clause,[],[f6010]) ).

fof(f7302,plain,
    ( spl0_400
    | ~ spl0_2
    | ~ spl0_144 ),
    inference(avatar_split_clause,[],[f1835,f1699,f13,f7300]) ).

fof(f7300,plain,
    ( spl0_400
  <=> ! [X2,X3,X4,X0,X5,X1] : true = is_a_theorem(equivalent(equivalent(equivalent(equivalent(X0,X1),X2),X3),equivalent(equivalent(equivalent(equivalent(X4,X0),X5),X2),equivalent(equivalent(equivalent(X4,X1),X5),X3)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_400])]) ).

fof(f1699,plain,
    ( spl0_144
  <=> ! [X3,X4,X0,X5,X2,X1] : true = ifeq(true,true,is_a_theorem(equivalent(equivalent(equivalent(equivalent(X1,X2),X3),X4),equivalent(equivalent(equivalent(equivalent(X0,X1),X5),X3),equivalent(equivalent(equivalent(X0,X2),X5),X4)))),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_144])]) ).

fof(f1835,plain,
    ( ! [X2,X3,X0,X1,X4,X5] : true = is_a_theorem(equivalent(equivalent(equivalent(equivalent(X0,X1),X2),X3),equivalent(equivalent(equivalent(equivalent(X4,X0),X5),X2),equivalent(equivalent(equivalent(X4,X1),X5),X3))))
    | ~ spl0_2
    | ~ spl0_144 ),
    inference(superposition,[],[f1700,f14]) ).

fof(f1700,plain,
    ( ! [X2,X3,X0,X1,X4,X5] : true = ifeq(true,true,is_a_theorem(equivalent(equivalent(equivalent(equivalent(X1,X2),X3),X4),equivalent(equivalent(equivalent(equivalent(X0,X1),X5),X3),equivalent(equivalent(equivalent(X0,X2),X5),X4)))),true)
    | ~ spl0_144 ),
    inference(avatar_component_clause,[],[f1699]) ).

fof(f7298,plain,
    ( spl0_399
    | ~ spl0_2
    | ~ spl0_143 ),
    inference(avatar_split_clause,[],[f1746,f1695,f13,f7296]) ).

fof(f7296,plain,
    ( spl0_399
  <=> ! [X4,X0,X3,X2,X1] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(X0,equivalent(equivalent(X1,X2),equivalent(X1,X3))),equivalent(X0,equivalent(X2,X3))),X4),X4)),true,true,true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_399])]) ).

fof(f1695,plain,
    ( spl0_143
  <=> ! [X4,X0,X3,X2,X1] : true = ifeq(true,true,ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(X0,equivalent(equivalent(X1,X2),equivalent(X1,X3))),equivalent(X0,equivalent(X2,X3))),X4),X4)),true,true,true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_143])]) ).

fof(f1746,plain,
    ( ! [X2,X3,X0,X1,X4] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(X0,equivalent(equivalent(X1,X2),equivalent(X1,X3))),equivalent(X0,equivalent(X2,X3))),X4),X4)),true,true,true)
    | ~ spl0_2
    | ~ spl0_143 ),
    inference(superposition,[],[f1696,f14]) ).

fof(f1696,plain,
    ( ! [X2,X3,X0,X1,X4] : true = ifeq(true,true,ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(X0,equivalent(equivalent(X1,X2),equivalent(X1,X3))),equivalent(X0,equivalent(X2,X3))),X4),X4)),true,true,true),true)
    | ~ spl0_143 ),
    inference(avatar_component_clause,[],[f1695]) ).

fof(f7294,plain,
    ( spl0_398
    | ~ spl0_2
    | ~ spl0_142 ),
    inference(avatar_split_clause,[],[f1744,f1691,f13,f7292]) ).

fof(f7292,plain,
    ( spl0_398
  <=> ! [X3,X4,X0,X5,X2,X1] : true = is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),X3),X4),equivalent(equivalent(X5,X3),equivalent(equivalent(equivalent(X1,X2),X5),X4)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_398])]) ).

fof(f1691,plain,
    ( spl0_142
  <=> ! [X5,X4,X0,X3,X2,X1] : true = ifeq(true,true,is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),X5),X4),equivalent(equivalent(X3,X5),equivalent(equivalent(equivalent(X1,X2),X3),X4)))),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_142])]) ).

fof(f1744,plain,
    ( ! [X2,X3,X0,X1,X4,X5] : true = is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),X3),X4),equivalent(equivalent(X5,X3),equivalent(equivalent(equivalent(X1,X2),X5),X4))))
    | ~ spl0_2
    | ~ spl0_142 ),
    inference(superposition,[],[f1692,f14]) ).

fof(f1692,plain,
    ( ! [X2,X3,X0,X1,X4,X5] : true = ifeq(true,true,is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),X5),X4),equivalent(equivalent(X3,X5),equivalent(equivalent(equivalent(X1,X2),X3),X4)))),true)
    | ~ spl0_142 ),
    inference(avatar_component_clause,[],[f1691]) ).

fof(f7290,plain,
    ( spl0_397
    | ~ spl0_2
    | ~ spl0_141 ),
    inference(avatar_split_clause,[],[f1742,f1687,f13,f7288]) ).

fof(f7288,plain,
    ( spl0_397
  <=> ! [X4,X0,X3,X2,X1] : true = ifeq(is_a_theorem(equivalent(equivalent(X0,equivalent(equivalent(X0,equivalent(equivalent(equivalent(X1,X2),equivalent(X1,X3)),equivalent(X2,X3))),X4)),X4)),true,true,true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_397])]) ).

fof(f1687,plain,
    ( spl0_141
  <=> ! [X4,X0,X3,X2,X1] : true = ifeq(true,true,ifeq(is_a_theorem(equivalent(equivalent(X0,equivalent(equivalent(X0,equivalent(equivalent(equivalent(X1,X2),equivalent(X1,X3)),equivalent(X2,X3))),X4)),X4)),true,true,true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_141])]) ).

fof(f1742,plain,
    ( ! [X2,X3,X0,X1,X4] : true = ifeq(is_a_theorem(equivalent(equivalent(X0,equivalent(equivalent(X0,equivalent(equivalent(equivalent(X1,X2),equivalent(X1,X3)),equivalent(X2,X3))),X4)),X4)),true,true,true)
    | ~ spl0_2
    | ~ spl0_141 ),
    inference(superposition,[],[f1688,f14]) ).

fof(f1688,plain,
    ( ! [X2,X3,X0,X1,X4] : true = ifeq(true,true,ifeq(is_a_theorem(equivalent(equivalent(X0,equivalent(equivalent(X0,equivalent(equivalent(equivalent(X1,X2),equivalent(X1,X3)),equivalent(X2,X3))),X4)),X4)),true,true,true),true)
    | ~ spl0_141 ),
    inference(avatar_component_clause,[],[f1687]) ).

fof(f7286,plain,
    ( spl0_396
    | ~ spl0_2
    | ~ spl0_140 ),
    inference(avatar_split_clause,[],[f1740,f1683,f13,f7284]) ).

fof(f7284,plain,
    ( spl0_396
  <=> ! [X2,X3,X4,X0,X5,X1] : true = is_a_theorem(equivalent(equivalent(X0,X1),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X2,X3),equivalent(X2,X4)),X5),equivalent(equivalent(X3,X4),X5)),X0),X1))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_396])]) ).

fof(f1683,plain,
    ( spl0_140
  <=> ! [X3,X4,X0,X5,X2,X1] : true = ifeq(true,true,is_a_theorem(equivalent(equivalent(X5,X4),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),X3),equivalent(equivalent(X1,X2),X3)),X5),X4))),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_140])]) ).

fof(f1740,plain,
    ( ! [X2,X3,X0,X1,X4,X5] : true = is_a_theorem(equivalent(equivalent(X0,X1),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X2,X3),equivalent(X2,X4)),X5),equivalent(equivalent(X3,X4),X5)),X0),X1)))
    | ~ spl0_2
    | ~ spl0_140 ),
    inference(superposition,[],[f1684,f14]) ).

fof(f1684,plain,
    ( ! [X2,X3,X0,X1,X4,X5] : true = ifeq(true,true,is_a_theorem(equivalent(equivalent(X5,X4),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),X3),equivalent(equivalent(X1,X2),X3)),X5),X4))),true)
    | ~ spl0_140 ),
    inference(avatar_component_clause,[],[f1683]) ).

fof(f7282,plain,
    ( spl0_395
    | ~ spl0_2
    | ~ spl0_139 ),
    inference(avatar_split_clause,[],[f1738,f1679,f13,f7280]) ).

fof(f7280,plain,
    ( spl0_395
  <=> ! [X2,X3,X4,X0,X5,X1] : true = is_a_theorem(equivalent(equivalent(X0,X1),equivalent(equivalent(equivalent(equivalent(X2,X3),X4),X0),equivalent(equivalent(equivalent(X2,X5),X4),equivalent(equivalent(X3,X5),X1))))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_395])]) ).

fof(f1679,plain,
    ( spl0_139
  <=> ! [X5,X4,X0,X3,X2,X1] : true = ifeq(true,true,is_a_theorem(equivalent(equivalent(X5,X3),equivalent(equivalent(equivalent(equivalent(X0,X1),X2),X5),equivalent(equivalent(equivalent(X0,X4),X2),equivalent(equivalent(X1,X4),X3))))),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_139])]) ).

fof(f1738,plain,
    ( ! [X2,X3,X0,X1,X4,X5] : true = is_a_theorem(equivalent(equivalent(X0,X1),equivalent(equivalent(equivalent(equivalent(X2,X3),X4),X0),equivalent(equivalent(equivalent(X2,X5),X4),equivalent(equivalent(X3,X5),X1)))))
    | ~ spl0_2
    | ~ spl0_139 ),
    inference(superposition,[],[f1680,f14]) ).

fof(f1680,plain,
    ( ! [X2,X3,X0,X1,X4,X5] : true = ifeq(true,true,is_a_theorem(equivalent(equivalent(X5,X3),equivalent(equivalent(equivalent(equivalent(X0,X1),X2),X5),equivalent(equivalent(equivalent(X0,X4),X2),equivalent(equivalent(X1,X4),X3))))),true)
    | ~ spl0_139 ),
    inference(avatar_component_clause,[],[f1679]) ).

fof(f7278,plain,
    ( spl0_394
    | ~ spl0_2
    | ~ spl0_137 ),
    inference(avatar_split_clause,[],[f1736,f1669,f13,f7276]) ).

fof(f7276,plain,
    ( spl0_394
  <=> ! [X2,X4,X0,X5,X3,X1] : true = is_a_theorem(equivalent(equivalent(X0,equivalent(equivalent(equivalent(equivalent(equivalent(X1,X2),equivalent(X1,X3)),X4),equivalent(equivalent(X2,X3),X4)),X5)),equivalent(X0,X5))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_394])]) ).

fof(f1669,plain,
    ( spl0_137
  <=> ! [X3,X4,X0,X5,X2,X1] : true = ifeq(true,true,is_a_theorem(equivalent(equivalent(X5,equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),X3),equivalent(equivalent(X1,X2),X3)),X4)),equivalent(X5,X4))),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_137])]) ).

fof(f1736,plain,
    ( ! [X2,X3,X0,X1,X4,X5] : true = is_a_theorem(equivalent(equivalent(X0,equivalent(equivalent(equivalent(equivalent(equivalent(X1,X2),equivalent(X1,X3)),X4),equivalent(equivalent(X2,X3),X4)),X5)),equivalent(X0,X5)))
    | ~ spl0_2
    | ~ spl0_137 ),
    inference(superposition,[],[f1670,f14]) ).

fof(f1670,plain,
    ( ! [X2,X3,X0,X1,X4,X5] : true = ifeq(true,true,is_a_theorem(equivalent(equivalent(X5,equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),X3),equivalent(equivalent(X1,X2),X3)),X4)),equivalent(X5,X4))),true)
    | ~ spl0_137 ),
    inference(avatar_component_clause,[],[f1669]) ).

fof(f7274,plain,
    ( spl0_393
    | ~ spl0_2
    | ~ spl0_53
    | ~ spl0_131 ),
    inference(avatar_split_clause,[],[f1619,f1405,f513,f13,f7272]) ).

fof(f7272,plain,
    ( spl0_393
  <=> ! [X2,X4,X0,X3,X1] : true = ifeq(true,true,is_a_theorem(equivalent(equivalent(equivalent(equivalent(X0,X2),X3),X4),equivalent(equivalent(equivalent(X1,X2),equivalent(equivalent(X0,X1),X3)),X4))),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_393])]) ).

fof(f1619,plain,
    ( ! [X2,X3,X0,X1,X4] : true = ifeq(true,true,is_a_theorem(equivalent(equivalent(equivalent(equivalent(X0,X2),X3),X4),equivalent(equivalent(equivalent(X1,X2),equivalent(equivalent(X0,X1),X3)),X4))),true)
    | ~ spl0_2
    | ~ spl0_53
    | ~ spl0_131 ),
    inference(forward_demodulation,[],[f1599,f14]) ).

fof(f1599,plain,
    ( ! [X2,X3,X0,X1,X4] : true = ifeq(true,true,ifeq(true,true,is_a_theorem(equivalent(equivalent(equivalent(equivalent(X0,X2),X3),X4),equivalent(equivalent(equivalent(X1,X2),equivalent(equivalent(X0,X1),X3)),X4))),true),true)
    | ~ spl0_53
    | ~ spl0_131 ),
    inference(superposition,[],[f1406,f514]) ).

fof(f7269,plain,
    ( spl0_392
    | ~ spl0_3
    | ~ spl0_115 ),
    inference(avatar_split_clause,[],[f1266,f1174,f17,f7267]) ).

fof(f7267,plain,
    ( spl0_392
  <=> ! [X4,X0,X3,X2,X1] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),X2),equivalent(equivalent(X3,X1),equivalent(equivalent(X0,X3),X2))),X4),X4)),true,true,true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_392])]) ).

fof(f1266,plain,
    ( ! [X2,X3,X0,X1,X4] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),X2),equivalent(equivalent(X3,X1),equivalent(equivalent(X0,X3),X2))),X4),X4)),true,true,true)
    | ~ spl0_3
    | ~ spl0_115 ),
    inference(superposition,[],[f18,f1175]) ).

fof(f7265,plain,
    ( spl0_391
    | ~ spl0_53
    | ~ spl0_115 ),
    inference(avatar_split_clause,[],[f1250,f1174,f513,f7263]) ).

fof(f7263,plain,
    ( spl0_391
  <=> ! [X2,X4,X0,X3,X1] : true = ifeq(true,true,is_a_theorem(equivalent(equivalent(equivalent(X1,X2),X3),equivalent(equivalent(X4,equivalent(X0,X2)),equivalent(equivalent(equivalent(X0,X1),X4),X3)))),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_391])]) ).

fof(f1250,plain,
    ( ! [X2,X3,X0,X1,X4] : true = ifeq(true,true,is_a_theorem(equivalent(equivalent(equivalent(X1,X2),X3),equivalent(equivalent(X4,equivalent(X0,X2)),equivalent(equivalent(equivalent(X0,X1),X4),X3)))),true)
    | ~ spl0_53
    | ~ spl0_115 ),
    inference(superposition,[],[f1175,f514]) ).

fof(f7261,plain,
    ( spl0_390
    | ~ spl0_368
    | ~ spl0_369 ),
    inference(avatar_split_clause,[],[f5957,f5932,f5499,f7259]) ).

fof(f7259,plain,
    ( spl0_390
  <=> ! [X2,X0,X3] : true = ifeq(is_a_theorem(equivalent(equivalent(X3,equivalent(equivalent(X0,X0),X2)),equivalent(X3,X2))),true,true,true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_390])]) ).

fof(f5499,plain,
    ( spl0_368
  <=> ! [X0,X3,X2,X1] : true = is_a_theorem(equivalent(equivalent(equivalent(X0,X1),equivalent(equivalent(X2,X0),X3)),equivalent(equivalent(X2,X1),X3))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_368])]) ).

fof(f5932,plain,
    ( spl0_369
  <=> ! [X0,X3,X2,X1] : true = ifeq(is_a_theorem(equivalent(equivalent(X0,X1),equivalent(X0,X2))),true,is_a_theorem(equivalent(equivalent(X3,X1),equivalent(X3,X2))),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_369])]) ).

fof(f5957,plain,
    ( ! [X2,X3,X0] : true = ifeq(is_a_theorem(equivalent(equivalent(X3,equivalent(equivalent(X0,X0),X2)),equivalent(X3,X2))),true,true,true)
    | ~ spl0_368
    | ~ spl0_369 ),
    inference(superposition,[],[f5933,f5500]) ).

fof(f5500,plain,
    ( ! [X2,X3,X0,X1] : true = is_a_theorem(equivalent(equivalent(equivalent(X0,X1),equivalent(equivalent(X2,X0),X3)),equivalent(equivalent(X2,X1),X3)))
    | ~ spl0_368 ),
    inference(avatar_component_clause,[],[f5499]) ).

fof(f5933,plain,
    ( ! [X2,X3,X0,X1] : true = ifeq(is_a_theorem(equivalent(equivalent(X0,X1),equivalent(X0,X2))),true,is_a_theorem(equivalent(equivalent(X3,X1),equivalent(X3,X2))),true)
    | ~ spl0_369 ),
    inference(avatar_component_clause,[],[f5932]) ).

fof(f7257,plain,
    ( spl0_389
    | ~ spl0_3
    | ~ spl0_113 ),
    inference(avatar_split_clause,[],[f1225,f1166,f17,f7255]) ).

fof(f7255,plain,
    ( spl0_389
  <=> ! [X4,X0,X3,X2,X1] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),equivalent(equivalent(X3,X1),equivalent(X3,X2))),X4),X4)),true,true,true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_389])]) ).

fof(f1225,plain,
    ( ! [X2,X3,X0,X1,X4] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),equivalent(equivalent(X3,X1),equivalent(X3,X2))),X4),X4)),true,true,true)
    | ~ spl0_3
    | ~ spl0_113 ),
    inference(superposition,[],[f18,f1167]) ).

fof(f7253,plain,
    ( spl0_388
    | ~ spl0_53
    | ~ spl0_113 ),
    inference(avatar_split_clause,[],[f1209,f1166,f513,f7251]) ).

fof(f7251,plain,
    ( spl0_388
  <=> ! [X4,X0,X3,X2,X1] : true = ifeq(true,true,is_a_theorem(equivalent(equivalent(equivalent(X1,X2),equivalent(equivalent(X0,X1),X3)),equivalent(equivalent(X4,equivalent(X0,X2)),equivalent(X4,X3)))),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_388])]) ).

fof(f1209,plain,
    ( ! [X2,X3,X0,X1,X4] : true = ifeq(true,true,is_a_theorem(equivalent(equivalent(equivalent(X1,X2),equivalent(equivalent(X0,X1),X3)),equivalent(equivalent(X4,equivalent(X0,X2)),equivalent(X4,X3)))),true)
    | ~ spl0_53
    | ~ spl0_113 ),
    inference(superposition,[],[f1167,f514]) ).

fof(f7249,plain,
    ( spl0_387
    | ~ spl0_2
    | ~ spl0_56
    | ~ spl0_111 ),
    inference(avatar_split_clause,[],[f1197,f1158,f564,f13,f7247]) ).

fof(f7247,plain,
    ( spl0_387
  <=> ! [X5,X4,X0,X3,X1] : true = ifeq(true,true,is_a_theorem(equivalent(equivalent(X5,X3),equivalent(X5,equivalent(equivalent(equivalent(X0,X4),equivalent(X0,X1)),equivalent(equivalent(X1,X4),X3))))),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_387])]) ).

fof(f1197,plain,
    ( ! [X3,X0,X1,X4,X5] : true = ifeq(true,true,is_a_theorem(equivalent(equivalent(X5,X3),equivalent(X5,equivalent(equivalent(equivalent(X0,X4),equivalent(X0,X1)),equivalent(equivalent(X1,X4),X3))))),true)
    | ~ spl0_2
    | ~ spl0_56
    | ~ spl0_111 ),
    inference(forward_demodulation,[],[f1180,f14]) ).

fof(f1180,plain,
    ( ! [X3,X0,X1,X4,X5] : true = ifeq(true,true,ifeq(true,true,is_a_theorem(equivalent(equivalent(X5,X3),equivalent(X5,equivalent(equivalent(equivalent(X0,X4),equivalent(X0,X1)),equivalent(equivalent(X1,X4),X3))))),true),true)
    | ~ spl0_56
    | ~ spl0_111 ),
    inference(superposition,[],[f1159,f565]) ).

fof(f7245,plain,
    ( spl0_386
    | ~ spl0_51
    | ~ spl0_56 ),
    inference(avatar_split_clause,[],[f791,f564,f468,f7243]) ).

fof(f7243,plain,
    ( spl0_386
  <=> ! [X4,X0,X3,X2,X1] : true = ifeq(true,true,is_a_theorem(equivalent(equivalent(X3,X2),equivalent(equivalent(equivalent(X0,X4),X3),equivalent(equivalent(X1,X4),equivalent(equivalent(X0,X1),X2))))),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_386])]) ).

fof(f468,plain,
    ( spl0_51
  <=> ! [X2,X0,X1] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X1)),X2)),true,is_a_theorem(X2),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_51])]) ).

fof(f791,plain,
    ( ! [X2,X3,X0,X1,X4] : true = ifeq(true,true,is_a_theorem(equivalent(equivalent(X3,X2),equivalent(equivalent(equivalent(X0,X4),X3),equivalent(equivalent(X1,X4),equivalent(equivalent(X0,X1),X2))))),true)
    | ~ spl0_51
    | ~ spl0_56 ),
    inference(superposition,[],[f469,f565]) ).

fof(f469,plain,
    ( ! [X2,X0,X1] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X1)),X2)),true,is_a_theorem(X2),true)
    | ~ spl0_51 ),
    inference(avatar_component_clause,[],[f468]) ).

fof(f7241,plain,
    ( spl0_385
    | ~ spl0_51
    | ~ spl0_55 ),
    inference(avatar_split_clause,[],[f789,f560,f468,f7239]) ).

fof(f7239,plain,
    ( spl0_385
  <=> ! [X4,X0,X3,X2,X1] : true = ifeq(true,true,is_a_theorem(equivalent(equivalent(equivalent(equivalent(X1,X2),X3),X4),equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),X3),X4))),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_385])]) ).

fof(f789,plain,
    ( ! [X2,X3,X0,X1,X4] : true = ifeq(true,true,is_a_theorem(equivalent(equivalent(equivalent(equivalent(X1,X2),X3),X4),equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),X3),X4))),true)
    | ~ spl0_51
    | ~ spl0_55 ),
    inference(superposition,[],[f469,f561]) ).

fof(f7181,plain,
    ( spl0_384
    | ~ spl0_2
    | ~ spl0_131 ),
    inference(avatar_split_clause,[],[f1617,f1405,f13,f7179]) ).

fof(f7179,plain,
    ( spl0_384
  <=> ! [X4,X0,X3,X2,X1] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),X3),X4)),true,is_a_theorem(equivalent(equivalent(equivalent(X1,X2),X3),X4)),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_384])]) ).

fof(f1617,plain,
    ( ! [X2,X3,X0,X1,X4] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),X3),X4)),true,is_a_theorem(equivalent(equivalent(equivalent(X1,X2),X3),X4)),true)
    | ~ spl0_2
    | ~ spl0_131 ),
    inference(superposition,[],[f1406,f14]) ).

fof(f6872,plain,
    ( spl0_383
    | ~ spl0_22
    | ~ spl0_112 ),
    inference(avatar_split_clause,[],[f2554,f1162,f195,f6870]) ).

fof(f6870,plain,
    ( spl0_383
  <=> ! [X2,X0,X3] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(X0,X0),X2),equivalent(equivalent(X3,X3),X2))),true,true,true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_383])]) ).

fof(f195,plain,
    ( spl0_22
  <=> ! [X4,X0,X3,X2,X1] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(X0,X1),X2),X3)),true,is_a_theorem(equivalent(equivalent(equivalent(X0,X4),X2),equivalent(equivalent(X1,X4),X3))),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_22])]) ).

fof(f1162,plain,
    ( spl0_112
  <=> ! [X2,X0,X1] : true = is_a_theorem(equivalent(equivalent(X0,X1),equivalent(X0,equivalent(equivalent(X2,X2),X1)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_112])]) ).

fof(f2554,plain,
    ( ! [X2,X3,X0] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(X0,X0),X2),equivalent(equivalent(X3,X3),X2))),true,true,true)
    | ~ spl0_22
    | ~ spl0_112 ),
    inference(superposition,[],[f196,f1163]) ).

fof(f1163,plain,
    ( ! [X2,X0,X1] : true = is_a_theorem(equivalent(equivalent(X0,X1),equivalent(X0,equivalent(equivalent(X2,X2),X1))))
    | ~ spl0_112 ),
    inference(avatar_component_clause,[],[f1162]) ).

fof(f196,plain,
    ( ! [X2,X3,X0,X1,X4] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(X0,X1),X2),X3)),true,is_a_theorem(equivalent(equivalent(equivalent(X0,X4),X2),equivalent(equivalent(X1,X4),X3))),true)
    | ~ spl0_22 ),
    inference(avatar_component_clause,[],[f195]) ).

fof(f6175,plain,
    ( spl0_382
    | ~ spl0_2
    | ~ spl0_127 ),
    inference(avatar_split_clause,[],[f1390,f1312,f13,f6173]) ).

fof(f6173,plain,
    ( spl0_382
  <=> ! [X4,X0,X3,X2,X1] : true = is_a_theorem(equivalent(equivalent(X0,equivalent(X1,X2)),equivalent(equivalent(equivalent(X1,X3),X0),equivalent(equivalent(X4,X3),equivalent(X4,X2))))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_382])]) ).

fof(f1312,plain,
    ( spl0_127
  <=> ! [X4,X0,X3,X2,X1] : true = ifeq(true,true,is_a_theorem(equivalent(equivalent(X3,equivalent(X0,X2)),equivalent(equivalent(equivalent(X0,X4),X3),equivalent(equivalent(X1,X4),equivalent(X1,X2))))),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_127])]) ).

fof(f1390,plain,
    ( ! [X2,X3,X0,X1,X4] : true = is_a_theorem(equivalent(equivalent(X0,equivalent(X1,X2)),equivalent(equivalent(equivalent(X1,X3),X0),equivalent(equivalent(X4,X3),equivalent(X4,X2)))))
    | ~ spl0_2
    | ~ spl0_127 ),
    inference(superposition,[],[f1313,f14]) ).

fof(f1313,plain,
    ( ! [X2,X3,X0,X1,X4] : true = ifeq(true,true,is_a_theorem(equivalent(equivalent(X3,equivalent(X0,X2)),equivalent(equivalent(equivalent(X0,X4),X3),equivalent(equivalent(X1,X4),equivalent(X1,X2))))),true)
    | ~ spl0_127 ),
    inference(avatar_component_clause,[],[f1312]) ).

fof(f6171,plain,
    ( spl0_381
    | ~ spl0_2
    | ~ spl0_126 ),
    inference(avatar_split_clause,[],[f1388,f1308,f13,f6169]) ).

fof(f6169,plain,
    ( spl0_381
  <=> ! [X4,X0,X3,X2,X1] : true = is_a_theorem(equivalent(equivalent(equivalent(equivalent(X0,X1),X2),equivalent(equivalent(equivalent(X3,X0),equivalent(X3,X1)),X4)),equivalent(X2,X4))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_381])]) ).

fof(f1308,plain,
    ( spl0_126
  <=> ! [X4,X0,X3,X2,X1] : true = ifeq(true,true,is_a_theorem(equivalent(equivalent(equivalent(equivalent(X1,X2),X3),equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),X4)),equivalent(X3,X4))),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_126])]) ).

fof(f1388,plain,
    ( ! [X2,X3,X0,X1,X4] : true = is_a_theorem(equivalent(equivalent(equivalent(equivalent(X0,X1),X2),equivalent(equivalent(equivalent(X3,X0),equivalent(X3,X1)),X4)),equivalent(X2,X4)))
    | ~ spl0_2
    | ~ spl0_126 ),
    inference(superposition,[],[f1309,f14]) ).

fof(f1309,plain,
    ( ! [X2,X3,X0,X1,X4] : true = ifeq(true,true,is_a_theorem(equivalent(equivalent(equivalent(equivalent(X1,X2),X3),equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),X4)),equivalent(X3,X4))),true)
    | ~ spl0_126 ),
    inference(avatar_component_clause,[],[f1308]) ).

fof(f6044,plain,
    ( spl0_380
    | ~ spl0_2
    | ~ spl0_125 ),
    inference(avatar_split_clause,[],[f1386,f1304,f13,f6042]) ).

fof(f1304,plain,
    ( spl0_125
  <=> ! [X2,X4,X0,X3,X1] : true = ifeq(true,true,is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X2),X3),equivalent(equivalent(X1,X2),equivalent(equivalent(X0,X1),X3))),X4),X4)),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_125])]) ).

fof(f1386,plain,
    ( ! [X2,X3,X0,X1,X4] : true = is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),X2),equivalent(equivalent(X3,X1),equivalent(equivalent(X0,X3),X2))),X4),X4))
    | ~ spl0_2
    | ~ spl0_125 ),
    inference(superposition,[],[f1305,f14]) ).

fof(f1305,plain,
    ( ! [X2,X3,X0,X1,X4] : true = ifeq(true,true,is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X2),X3),equivalent(equivalent(X1,X2),equivalent(equivalent(X0,X1),X3))),X4),X4)),true)
    | ~ spl0_125 ),
    inference(avatar_component_clause,[],[f1304]) ).

fof(f6040,plain,
    ( spl0_379
    | ~ spl0_2
    | ~ spl0_124 ),
    inference(avatar_split_clause,[],[f1384,f1300,f13,f6038]) ).

fof(f6038,plain,
    ( spl0_379
  <=> ! [X4,X0,X3,X2,X1] : true = is_a_theorem(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(equivalent(X2,X0),X3)),X4),equivalent(equivalent(equivalent(X2,X1),X3),X4))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_379])]) ).

fof(f1300,plain,
    ( spl0_124
  <=> ! [X4,X0,X3,X2,X1] : true = ifeq(true,true,is_a_theorem(equivalent(equivalent(equivalent(equivalent(X1,X2),equivalent(equivalent(X0,X1),X3)),X4),equivalent(equivalent(equivalent(X0,X2),X3),X4))),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_124])]) ).

fof(f1384,plain,
    ( ! [X2,X3,X0,X1,X4] : true = is_a_theorem(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(equivalent(X2,X0),X3)),X4),equivalent(equivalent(equivalent(X2,X1),X3),X4)))
    | ~ spl0_2
    | ~ spl0_124 ),
    inference(superposition,[],[f1301,f14]) ).

fof(f1301,plain,
    ( ! [X2,X3,X0,X1,X4] : true = ifeq(true,true,is_a_theorem(equivalent(equivalent(equivalent(equivalent(X1,X2),equivalent(equivalent(X0,X1),X3)),X4),equivalent(equivalent(equivalent(X0,X2),X3),X4))),true)
    | ~ spl0_124 ),
    inference(avatar_component_clause,[],[f1300]) ).

fof(f6036,plain,
    ( spl0_378
    | ~ spl0_2
    | ~ spl0_123 ),
    inference(avatar_split_clause,[],[f1382,f1296,f13,f6034]) ).

fof(f6034,plain,
    ( spl0_378
  <=> ! [X4,X0,X3,X2,X1] : true = is_a_theorem(equivalent(equivalent(equivalent(X0,X1),X2),equivalent(equivalent(equivalent(X3,X4),equivalent(X3,X1)),equivalent(equivalent(X0,X4),X2)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_378])]) ).

fof(f1296,plain,
    ( spl0_123
  <=> ! [X4,X0,X3,X2,X1] : true = ifeq(true,true,is_a_theorem(equivalent(equivalent(equivalent(X1,X2),X3),equivalent(equivalent(equivalent(X0,X4),equivalent(X0,X2)),equivalent(equivalent(X1,X4),X3)))),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_123])]) ).

fof(f1382,plain,
    ( ! [X2,X3,X0,X1,X4] : true = is_a_theorem(equivalent(equivalent(equivalent(X0,X1),X2),equivalent(equivalent(equivalent(X3,X4),equivalent(X3,X1)),equivalent(equivalent(X0,X4),X2))))
    | ~ spl0_2
    | ~ spl0_123 ),
    inference(superposition,[],[f1297,f14]) ).

fof(f1297,plain,
    ( ! [X2,X3,X0,X1,X4] : true = ifeq(true,true,is_a_theorem(equivalent(equivalent(equivalent(X1,X2),X3),equivalent(equivalent(equivalent(X0,X4),equivalent(X0,X2)),equivalent(equivalent(X1,X4),X3)))),true)
    | ~ spl0_123 ),
    inference(avatar_component_clause,[],[f1296]) ).

fof(f6032,plain,
    ( spl0_377
    | ~ spl0_2
    | ~ spl0_122 ),
    inference(avatar_split_clause,[],[f1380,f1292,f13,f6030]) ).

fof(f6030,plain,
    ( spl0_377
  <=> ! [X2,X4,X0,X3,X1] : true = is_a_theorem(equivalent(equivalent(X0,X1),equivalent(equivalent(equivalent(equivalent(X2,X3),equivalent(X2,X4)),X0),equivalent(equivalent(X3,X4),X1)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_377])]) ).

fof(f1292,plain,
    ( spl0_122
  <=> ! [X4,X0,X3,X2,X1] : true = ifeq(true,true,is_a_theorem(equivalent(equivalent(X4,X3),equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),X4),equivalent(equivalent(X1,X2),X3)))),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_122])]) ).

fof(f1380,plain,
    ( ! [X2,X3,X0,X1,X4] : true = is_a_theorem(equivalent(equivalent(X0,X1),equivalent(equivalent(equivalent(equivalent(X2,X3),equivalent(X2,X4)),X0),equivalent(equivalent(X3,X4),X1))))
    | ~ spl0_2
    | ~ spl0_122 ),
    inference(superposition,[],[f1293,f14]) ).

fof(f1293,plain,
    ( ! [X2,X3,X0,X1,X4] : true = ifeq(true,true,is_a_theorem(equivalent(equivalent(X4,X3),equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),X4),equivalent(equivalent(X1,X2),X3)))),true)
    | ~ spl0_122 ),
    inference(avatar_component_clause,[],[f1292]) ).

fof(f6028,plain,
    ( spl0_376
    | ~ spl0_2
    | ~ spl0_121 ),
    inference(avatar_split_clause,[],[f1378,f1288,f13,f6026]) ).

fof(f6026,plain,
    ( spl0_376
  <=> ! [X2,X4,X0,X3,X1] : true = is_a_theorem(equivalent(equivalent(X0,X1),equivalent(equivalent(equivalent(equivalent(equivalent(X2,X3),equivalent(X2,X4)),equivalent(X3,X4)),X0),X1))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_376])]) ).

fof(f1288,plain,
    ( spl0_121
  <=> ! [X4,X0,X3,X2,X1] : true = ifeq(true,true,is_a_theorem(equivalent(equivalent(X4,X3),equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),equivalent(X1,X2)),X4),X3))),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_121])]) ).

fof(f1378,plain,
    ( ! [X2,X3,X0,X1,X4] : true = is_a_theorem(equivalent(equivalent(X0,X1),equivalent(equivalent(equivalent(equivalent(equivalent(X2,X3),equivalent(X2,X4)),equivalent(X3,X4)),X0),X1)))
    | ~ spl0_2
    | ~ spl0_121 ),
    inference(superposition,[],[f1289,f14]) ).

fof(f1289,plain,
    ( ! [X2,X3,X0,X1,X4] : true = ifeq(true,true,is_a_theorem(equivalent(equivalent(X4,X3),equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),equivalent(X1,X2)),X4),X3))),true)
    | ~ spl0_121 ),
    inference(avatar_component_clause,[],[f1288]) ).

fof(f6024,plain,
    ( spl0_375
    | ~ spl0_2
    | ~ spl0_120 ),
    inference(avatar_split_clause,[],[f1376,f1284,f13,f6022]) ).

fof(f6022,plain,
    ( spl0_375
  <=> ! [X4,X0,X3,X2,X1] : true = is_a_theorem(equivalent(equivalent(equivalent(X0,X1),X2),equivalent(equivalent(X3,X1),equivalent(equivalent(X4,X3),equivalent(equivalent(X0,X4),X2))))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_375])]) ).

fof(f1284,plain,
    ( spl0_120
  <=> ! [X4,X0,X3,X2,X1] : true = ifeq(true,true,is_a_theorem(equivalent(equivalent(equivalent(X0,X4),X2),equivalent(equivalent(X1,X4),equivalent(equivalent(X3,X1),equivalent(equivalent(X0,X3),X2))))),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_120])]) ).

fof(f1376,plain,
    ( ! [X2,X3,X0,X1,X4] : true = is_a_theorem(equivalent(equivalent(equivalent(X0,X1),X2),equivalent(equivalent(X3,X1),equivalent(equivalent(X4,X3),equivalent(equivalent(X0,X4),X2)))))
    | ~ spl0_2
    | ~ spl0_120 ),
    inference(superposition,[],[f1285,f14]) ).

fof(f1285,plain,
    ( ! [X2,X3,X0,X1,X4] : true = ifeq(true,true,is_a_theorem(equivalent(equivalent(equivalent(X0,X4),X2),equivalent(equivalent(X1,X4),equivalent(equivalent(X3,X1),equivalent(equivalent(X0,X3),X2))))),true)
    | ~ spl0_120 ),
    inference(avatar_component_clause,[],[f1284]) ).

fof(f6020,plain,
    ( spl0_374
    | ~ spl0_2
    | ~ spl0_118 ),
    inference(avatar_split_clause,[],[f1374,f1276,f13,f6018]) ).

fof(f6018,plain,
    ( spl0_374
  <=> ! [X4,X0,X3,X2,X1] : true = is_a_theorem(equivalent(equivalent(X0,equivalent(equivalent(equivalent(equivalent(X1,X2),equivalent(X1,X3)),equivalent(X2,X3)),X4)),equivalent(X0,X4))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_374])]) ).

fof(f1276,plain,
    ( spl0_118
  <=> ! [X4,X0,X3,X2,X1] : true = ifeq(true,true,is_a_theorem(equivalent(equivalent(X4,equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),equivalent(X1,X2)),X3)),equivalent(X4,X3))),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_118])]) ).

fof(f1374,plain,
    ( ! [X2,X3,X0,X1,X4] : true = is_a_theorem(equivalent(equivalent(X0,equivalent(equivalent(equivalent(equivalent(X1,X2),equivalent(X1,X3)),equivalent(X2,X3)),X4)),equivalent(X0,X4)))
    | ~ spl0_2
    | ~ spl0_118 ),
    inference(superposition,[],[f1277,f14]) ).

fof(f1277,plain,
    ( ! [X2,X3,X0,X1,X4] : true = ifeq(true,true,is_a_theorem(equivalent(equivalent(X4,equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),equivalent(X1,X2)),X3)),equivalent(X4,X3))),true)
    | ~ spl0_118 ),
    inference(avatar_component_clause,[],[f1276]) ).

fof(f6016,plain,
    ( spl0_373
    | ~ spl0_2
    | ~ spl0_117 ),
    inference(avatar_split_clause,[],[f1321,f1272,f13,f6014]) ).

fof(f6014,plain,
    ( spl0_373
  <=> ! [X4,X0,X3,X2,X1] : true = is_a_theorem(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),equivalent(equivalent(X3,X1),equivalent(equivalent(X4,X3),equivalent(X4,X2))))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_373])]) ).

fof(f1272,plain,
    ( spl0_117
  <=> ! [X4,X0,X3,X2,X1] : true = ifeq(true,true,is_a_theorem(equivalent(equivalent(equivalent(X0,X4),equivalent(X0,X2)),equivalent(equivalent(X1,X4),equivalent(equivalent(X3,X1),equivalent(X3,X2))))),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_117])]) ).

fof(f1321,plain,
    ( ! [X2,X3,X0,X1,X4] : true = is_a_theorem(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),equivalent(equivalent(X3,X1),equivalent(equivalent(X4,X3),equivalent(X4,X2)))))
    | ~ spl0_2
    | ~ spl0_117 ),
    inference(superposition,[],[f1273,f14]) ).

fof(f1273,plain,
    ( ! [X2,X3,X0,X1,X4] : true = ifeq(true,true,is_a_theorem(equivalent(equivalent(equivalent(X0,X4),equivalent(X0,X2)),equivalent(equivalent(X1,X4),equivalent(equivalent(X3,X1),equivalent(X3,X2))))),true)
    | ~ spl0_117 ),
    inference(avatar_component_clause,[],[f1272]) ).

fof(f6012,plain,
    ( spl0_372
    | ~ spl0_51
    | ~ spl0_53 ),
    inference(avatar_split_clause,[],[f788,f513,f468,f6010]) ).

fof(f788,plain,
    ( ! [X2,X3,X0,X1] : true = ifeq(true,true,is_a_theorem(equivalent(equivalent(equivalent(X1,X2),X3),equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),X3))),true)
    | ~ spl0_51
    | ~ spl0_53 ),
    inference(superposition,[],[f469,f514]) ).

fof(f5979,plain,
    ( spl0_371
    | ~ spl0_2
    | ~ spl0_349 ),
    inference(avatar_split_clause,[],[f5604,f5289,f13,f5977]) ).

fof(f5977,plain,
    ( spl0_371
  <=> ! [X2,X0,X1] : true = is_a_theorem(equivalent(equivalent(X0,X1),equivalent(equivalent(X2,X0),equivalent(X2,X1)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_371])]) ).

fof(f5289,plain,
    ( spl0_349
  <=> ! [X2,X0,X1] : true = ifeq(true,true,is_a_theorem(equivalent(equivalent(X2,X1),equivalent(equivalent(X0,X2),equivalent(X0,X1)))),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_349])]) ).

fof(f5604,plain,
    ( ! [X2,X0,X1] : true = is_a_theorem(equivalent(equivalent(X0,X1),equivalent(equivalent(X2,X0),equivalent(X2,X1))))
    | ~ spl0_2
    | ~ spl0_349 ),
    inference(superposition,[],[f5290,f14]) ).

fof(f5290,plain,
    ( ! [X2,X0,X1] : true = ifeq(true,true,is_a_theorem(equivalent(equivalent(X2,X1),equivalent(equivalent(X0,X2),equivalent(X0,X1)))),true)
    | ~ spl0_349 ),
    inference(avatar_component_clause,[],[f5289]) ).

fof(f5938,plain,
    ( spl0_370
    | ~ spl0_2
    | ~ spl0_114 ),
    inference(avatar_split_clause,[],[f1237,f1170,f13,f5936]) ).

fof(f5936,plain,
    ( spl0_370
  <=> ! [X0,X3,X2,X1] : true = ifeq(is_a_theorem(equivalent(equivalent(X0,X1),X2)),true,is_a_theorem(equivalent(equivalent(X3,X1),equivalent(equivalent(X0,X3),X2))),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_370])]) ).

fof(f1170,plain,
    ( spl0_114
  <=> ! [X0,X3,X2,X1] : true = ifeq(true,true,ifeq(is_a_theorem(equivalent(equivalent(X0,X1),X2)),true,is_a_theorem(equivalent(equivalent(X3,X1),equivalent(equivalent(X0,X3),X2))),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_114])]) ).

fof(f1237,plain,
    ( ! [X2,X3,X0,X1] : true = ifeq(is_a_theorem(equivalent(equivalent(X0,X1),X2)),true,is_a_theorem(equivalent(equivalent(X3,X1),equivalent(equivalent(X0,X3),X2))),true)
    | ~ spl0_2
    | ~ spl0_114 ),
    inference(superposition,[],[f1171,f14]) ).

fof(f1171,plain,
    ( ! [X2,X3,X0,X1] : true = ifeq(true,true,ifeq(is_a_theorem(equivalent(equivalent(X0,X1),X2)),true,is_a_theorem(equivalent(equivalent(X3,X1),equivalent(equivalent(X0,X3),X2))),true),true)
    | ~ spl0_114 ),
    inference(avatar_component_clause,[],[f1170]) ).

fof(f5934,plain,
    ( spl0_369
    | ~ spl0_2
    | ~ spl0_111 ),
    inference(avatar_split_clause,[],[f1192,f1158,f13,f5932]) ).

fof(f1192,plain,
    ( ! [X2,X3,X0,X1] : true = ifeq(is_a_theorem(equivalent(equivalent(X0,X1),equivalent(X0,X2))),true,is_a_theorem(equivalent(equivalent(X3,X1),equivalent(X3,X2))),true)
    | ~ spl0_2
    | ~ spl0_111 ),
    inference(superposition,[],[f1159,f14]) ).

fof(f5501,plain,
    ( spl0_368
    | ~ spl0_2
    | ~ spl0_110 ),
    inference(avatar_split_clause,[],[f1155,f1148,f13,f5499]) ).

fof(f1148,plain,
    ( spl0_110
  <=> ! [X0,X3,X2,X1] : true = ifeq(true,true,is_a_theorem(equivalent(equivalent(equivalent(X1,X2),equivalent(equivalent(X0,X1),X3)),equivalent(equivalent(X0,X2),X3))),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_110])]) ).

fof(f1155,plain,
    ( ! [X2,X3,X0,X1] : true = is_a_theorem(equivalent(equivalent(equivalent(X0,X1),equivalent(equivalent(X2,X0),X3)),equivalent(equivalent(X2,X1),X3)))
    | ~ spl0_2
    | ~ spl0_110 ),
    inference(superposition,[],[f1149,f14]) ).

fof(f1149,plain,
    ( ! [X2,X3,X0,X1] : true = ifeq(true,true,is_a_theorem(equivalent(equivalent(equivalent(X1,X2),equivalent(equivalent(X0,X1),X3)),equivalent(equivalent(X0,X2),X3))),true)
    | ~ spl0_110 ),
    inference(avatar_component_clause,[],[f1148]) ).

fof(f5473,plain,
    ( spl0_367
    | ~ spl0_15
    | ~ spl0_104 ),
    inference(avatar_split_clause,[],[f1022,f994,f136,f5471]) ).

fof(f5471,plain,
    ( spl0_367
  <=> ! [X7,X2,X3,X10,X0,X11,X18,X8,X19,X9,X16,X14,X4,X1,X6,X17,X15,X5,X12,X13] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),X2),X3),equivalent(equivalent(equivalent(X0,X4),X2),equivalent(equivalent(X1,X4),X3))),equivalent(equivalent(equivalent(equivalent(X5,X6),X7),X8),equivalent(equivalent(equivalent(X5,X9),X7),equivalent(equivalent(X6,X9),X8)))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X10,X11),equivalent(X10,X12)),X13),equivalent(equivalent(X11,X12),X13)),X14),X14)),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X15,X16),equivalent(X15,X17)),X18),equivalent(equivalent(X16,X17),X18)),X19),X19))),true,true,true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_367])]) ).

fof(f994,plain,
    ( spl0_104
  <=> ! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X14,X4,X5,X12,X13] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),X2),X3),equivalent(equivalent(equivalent(X0,X4),X2),equivalent(equivalent(X1,X4),X3))),equivalent(equivalent(equivalent(equivalent(X5,X6),X7),X8),equivalent(equivalent(equivalent(X5,X9),X7),equivalent(equivalent(X6,X9),X8)))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X10,X11),equivalent(X10,X12)),X13),equivalent(equivalent(X11,X12),X13)),X14),X14))),true,true,true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_104])]) ).

fof(f1022,plain,
    ( ! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X14,X4,X16,X18,X19,X17,X15,X5,X12,X13] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),X2),X3),equivalent(equivalent(equivalent(X0,X4),X2),equivalent(equivalent(X1,X4),X3))),equivalent(equivalent(equivalent(equivalent(X5,X6),X7),X8),equivalent(equivalent(equivalent(X5,X9),X7),equivalent(equivalent(X6,X9),X8)))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X10,X11),equivalent(X10,X12)),X13),equivalent(equivalent(X11,X12),X13)),X14),X14)),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X15,X16),equivalent(X15,X17)),X18),equivalent(equivalent(X16,X17),X18)),X19),X19))),true,true,true)
    | ~ spl0_15
    | ~ spl0_104 ),
    inference(superposition,[],[f137,f995]) ).

fof(f995,plain,
    ( ! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X14,X4,X5,X12,X13] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),X2),X3),equivalent(equivalent(equivalent(X0,X4),X2),equivalent(equivalent(X1,X4),X3))),equivalent(equivalent(equivalent(equivalent(X5,X6),X7),X8),equivalent(equivalent(equivalent(X5,X9),X7),equivalent(equivalent(X6,X9),X8)))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X10,X11),equivalent(X10,X12)),X13),equivalent(equivalent(X11,X12),X13)),X14),X14))),true,true,true)
    | ~ spl0_104 ),
    inference(avatar_component_clause,[],[f994]) ).

fof(f5469,plain,
    ( spl0_366
    | ~ spl0_16
    | ~ spl0_104 ),
    inference(avatar_split_clause,[],[f1021,f994,f140,f5467]) ).

fof(f5467,plain,
    ( spl0_366
  <=> ! [X7,X2,X3,X10,X0,X11,X18,X8,X19,X9,X16,X14,X4,X1,X6,X17,X15,X5,X12,X13] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),X2),X3),equivalent(equivalent(equivalent(X0,X4),X2),equivalent(equivalent(X1,X4),X3))),equivalent(equivalent(equivalent(equivalent(X5,X6),X7),X8),equivalent(equivalent(equivalent(X5,X9),X7),equivalent(equivalent(X6,X9),X8)))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X10,X11),equivalent(X10,X12)),X13),equivalent(equivalent(X11,X12),X13)),X14),X14)),equivalent(equivalent(equivalent(equivalent(X15,X16),X17),X18),equivalent(equivalent(equivalent(X15,X19),X17),equivalent(equivalent(X16,X19),X18))))),true,true,true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_366])]) ).

fof(f1021,plain,
    ( ! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X14,X4,X16,X18,X19,X17,X15,X5,X12,X13] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),X2),X3),equivalent(equivalent(equivalent(X0,X4),X2),equivalent(equivalent(X1,X4),X3))),equivalent(equivalent(equivalent(equivalent(X5,X6),X7),X8),equivalent(equivalent(equivalent(X5,X9),X7),equivalent(equivalent(X6,X9),X8)))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X10,X11),equivalent(X10,X12)),X13),equivalent(equivalent(X11,X12),X13)),X14),X14)),equivalent(equivalent(equivalent(equivalent(X15,X16),X17),X18),equivalent(equivalent(equivalent(X15,X19),X17),equivalent(equivalent(X16,X19),X18))))),true,true,true)
    | ~ spl0_16
    | ~ spl0_104 ),
    inference(superposition,[],[f141,f995]) ).

fof(f5465,plain,
    ( spl0_365
    | ~ spl0_15
    | ~ spl0_103 ),
    inference(avatar_split_clause,[],[f1018,f990,f136,f5463]) ).

fof(f5463,plain,
    ( spl0_365
  <=> ! [X7,X2,X3,X10,X0,X11,X18,X8,X19,X9,X16,X14,X4,X1,X6,X17,X15,X5,X12,X13] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),X2),X3),equivalent(equivalent(equivalent(X0,X4),X2),equivalent(equivalent(X1,X4),X3))),equivalent(equivalent(equivalent(equivalent(X5,X6),X7),X8),equivalent(equivalent(equivalent(X5,X9),X7),equivalent(equivalent(X6,X9),X8)))),equivalent(equivalent(equivalent(equivalent(X10,X11),X12),X13),equivalent(equivalent(equivalent(X10,X14),X12),equivalent(equivalent(X11,X14),X13)))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X15,X16),equivalent(X15,X17)),X18),equivalent(equivalent(X16,X17),X18)),X19),X19))),true,true,true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_365])]) ).

fof(f990,plain,
    ( spl0_103
  <=> ! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X14,X4,X5,X12,X13] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),X2),X3),equivalent(equivalent(equivalent(X0,X4),X2),equivalent(equivalent(X1,X4),X3))),equivalent(equivalent(equivalent(equivalent(X5,X6),X7),X8),equivalent(equivalent(equivalent(X5,X9),X7),equivalent(equivalent(X6,X9),X8)))),equivalent(equivalent(equivalent(equivalent(X10,X11),X12),X13),equivalent(equivalent(equivalent(X10,X14),X12),equivalent(equivalent(X11,X14),X13))))),true,true,true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_103])]) ).

fof(f1018,plain,
    ( ! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X14,X4,X16,X18,X19,X17,X15,X5,X12,X13] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),X2),X3),equivalent(equivalent(equivalent(X0,X4),X2),equivalent(equivalent(X1,X4),X3))),equivalent(equivalent(equivalent(equivalent(X5,X6),X7),X8),equivalent(equivalent(equivalent(X5,X9),X7),equivalent(equivalent(X6,X9),X8)))),equivalent(equivalent(equivalent(equivalent(X10,X11),X12),X13),equivalent(equivalent(equivalent(X10,X14),X12),equivalent(equivalent(X11,X14),X13)))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X15,X16),equivalent(X15,X17)),X18),equivalent(equivalent(X16,X17),X18)),X19),X19))),true,true,true)
    | ~ spl0_15
    | ~ spl0_103 ),
    inference(superposition,[],[f137,f991]) ).

fof(f991,plain,
    ( ! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X14,X4,X5,X12,X13] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),X2),X3),equivalent(equivalent(equivalent(X0,X4),X2),equivalent(equivalent(X1,X4),X3))),equivalent(equivalent(equivalent(equivalent(X5,X6),X7),X8),equivalent(equivalent(equivalent(X5,X9),X7),equivalent(equivalent(X6,X9),X8)))),equivalent(equivalent(equivalent(equivalent(X10,X11),X12),X13),equivalent(equivalent(equivalent(X10,X14),X12),equivalent(equivalent(X11,X14),X13))))),true,true,true)
    | ~ spl0_103 ),
    inference(avatar_component_clause,[],[f990]) ).

fof(f5461,plain,
    ( spl0_364
    | ~ spl0_16
    | ~ spl0_103 ),
    inference(avatar_split_clause,[],[f1017,f990,f140,f5459]) ).

fof(f5459,plain,
    ( spl0_364
  <=> ! [X7,X2,X3,X10,X0,X11,X18,X8,X19,X9,X16,X14,X4,X1,X6,X17,X15,X5,X12,X13] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),X2),X3),equivalent(equivalent(equivalent(X0,X4),X2),equivalent(equivalent(X1,X4),X3))),equivalent(equivalent(equivalent(equivalent(X5,X6),X7),X8),equivalent(equivalent(equivalent(X5,X9),X7),equivalent(equivalent(X6,X9),X8)))),equivalent(equivalent(equivalent(equivalent(X10,X11),X12),X13),equivalent(equivalent(equivalent(X10,X14),X12),equivalent(equivalent(X11,X14),X13)))),equivalent(equivalent(equivalent(equivalent(X15,X16),X17),X18),equivalent(equivalent(equivalent(X15,X19),X17),equivalent(equivalent(X16,X19),X18))))),true,true,true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_364])]) ).

fof(f1017,plain,
    ( ! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X14,X4,X16,X18,X19,X17,X15,X5,X12,X13] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),X2),X3),equivalent(equivalent(equivalent(X0,X4),X2),equivalent(equivalent(X1,X4),X3))),equivalent(equivalent(equivalent(equivalent(X5,X6),X7),X8),equivalent(equivalent(equivalent(X5,X9),X7),equivalent(equivalent(X6,X9),X8)))),equivalent(equivalent(equivalent(equivalent(X10,X11),X12),X13),equivalent(equivalent(equivalent(X10,X14),X12),equivalent(equivalent(X11,X14),X13)))),equivalent(equivalent(equivalent(equivalent(X15,X16),X17),X18),equivalent(equivalent(equivalent(X15,X19),X17),equivalent(equivalent(X16,X19),X18))))),true,true,true)
    | ~ spl0_16
    | ~ spl0_103 ),
    inference(superposition,[],[f141,f991]) ).

fof(f5457,plain,
    ( spl0_363
    | ~ spl0_15
    | ~ spl0_102 ),
    inference(avatar_split_clause,[],[f1015,f986,f136,f5455]) ).

fof(f5455,plain,
    ( spl0_363
  <=> ! [X7,X2,X3,X10,X0,X11,X18,X8,X19,X9,X16,X14,X4,X1,X6,X17,X15,X5,X12,X13] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),X2),X3),equivalent(equivalent(equivalent(X0,X4),X2),equivalent(equivalent(X1,X4),X3))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X5,X6),equivalent(X5,X7)),X8),equivalent(equivalent(X6,X7),X8)),X9),X9)),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X10,X11),equivalent(X10,X12)),X13),equivalent(equivalent(X11,X12),X13)),X14),X14)),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X15,X16),equivalent(X15,X17)),X18),equivalent(equivalent(X16,X17),X18)),X19),X19))),true,true,true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_363])]) ).

fof(f986,plain,
    ( spl0_102
  <=> ! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X14,X4,X5,X12,X13] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),X2),X3),equivalent(equivalent(equivalent(X0,X4),X2),equivalent(equivalent(X1,X4),X3))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X5,X6),equivalent(X5,X7)),X8),equivalent(equivalent(X6,X7),X8)),X9),X9)),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X10,X11),equivalent(X10,X12)),X13),equivalent(equivalent(X11,X12),X13)),X14),X14))),true,true,true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_102])]) ).

fof(f1015,plain,
    ( ! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X14,X4,X16,X18,X19,X17,X15,X5,X12,X13] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),X2),X3),equivalent(equivalent(equivalent(X0,X4),X2),equivalent(equivalent(X1,X4),X3))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X5,X6),equivalent(X5,X7)),X8),equivalent(equivalent(X6,X7),X8)),X9),X9)),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X10,X11),equivalent(X10,X12)),X13),equivalent(equivalent(X11,X12),X13)),X14),X14)),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X15,X16),equivalent(X15,X17)),X18),equivalent(equivalent(X16,X17),X18)),X19),X19))),true,true,true)
    | ~ spl0_15
    | ~ spl0_102 ),
    inference(superposition,[],[f137,f987]) ).

fof(f987,plain,
    ( ! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X14,X4,X5,X12,X13] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),X2),X3),equivalent(equivalent(equivalent(X0,X4),X2),equivalent(equivalent(X1,X4),X3))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X5,X6),equivalent(X5,X7)),X8),equivalent(equivalent(X6,X7),X8)),X9),X9)),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X10,X11),equivalent(X10,X12)),X13),equivalent(equivalent(X11,X12),X13)),X14),X14))),true,true,true)
    | ~ spl0_102 ),
    inference(avatar_component_clause,[],[f986]) ).

fof(f5453,plain,
    ( spl0_362
    | ~ spl0_16
    | ~ spl0_102 ),
    inference(avatar_split_clause,[],[f1014,f986,f140,f5451]) ).

fof(f5451,plain,
    ( spl0_362
  <=> ! [X7,X2,X3,X10,X0,X11,X18,X8,X19,X9,X16,X14,X4,X1,X6,X17,X15,X5,X12,X13] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),X2),X3),equivalent(equivalent(equivalent(X0,X4),X2),equivalent(equivalent(X1,X4),X3))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X5,X6),equivalent(X5,X7)),X8),equivalent(equivalent(X6,X7),X8)),X9),X9)),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X10,X11),equivalent(X10,X12)),X13),equivalent(equivalent(X11,X12),X13)),X14),X14)),equivalent(equivalent(equivalent(equivalent(X15,X16),X17),X18),equivalent(equivalent(equivalent(X15,X19),X17),equivalent(equivalent(X16,X19),X18))))),true,true,true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_362])]) ).

fof(f1014,plain,
    ( ! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X14,X4,X16,X18,X19,X17,X15,X5,X12,X13] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),X2),X3),equivalent(equivalent(equivalent(X0,X4),X2),equivalent(equivalent(X1,X4),X3))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X5,X6),equivalent(X5,X7)),X8),equivalent(equivalent(X6,X7),X8)),X9),X9)),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X10,X11),equivalent(X10,X12)),X13),equivalent(equivalent(X11,X12),X13)),X14),X14)),equivalent(equivalent(equivalent(equivalent(X15,X16),X17),X18),equivalent(equivalent(equivalent(X15,X19),X17),equivalent(equivalent(X16,X19),X18))))),true,true,true)
    | ~ spl0_16
    | ~ spl0_102 ),
    inference(superposition,[],[f141,f987]) ).

fof(f5449,plain,
    ( spl0_361
    | ~ spl0_15
    | ~ spl0_101 ),
    inference(avatar_split_clause,[],[f1012,f982,f136,f5447]) ).

fof(f5447,plain,
    ( spl0_361
  <=> ! [X7,X2,X3,X10,X0,X11,X18,X8,X19,X9,X16,X14,X4,X1,X6,X17,X15,X5,X12,X13] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),X2),X3),equivalent(equivalent(equivalent(X0,X4),X2),equivalent(equivalent(X1,X4),X3))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X5,X6),equivalent(X5,X7)),X8),equivalent(equivalent(X6,X7),X8)),X9),X9)),equivalent(equivalent(equivalent(equivalent(X10,X11),X12),X13),equivalent(equivalent(equivalent(X10,X14),X12),equivalent(equivalent(X11,X14),X13)))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X15,X16),equivalent(X15,X17)),X18),equivalent(equivalent(X16,X17),X18)),X19),X19))),true,true,true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_361])]) ).

fof(f982,plain,
    ( spl0_101
  <=> ! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X14,X4,X5,X12,X13] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),X2),X3),equivalent(equivalent(equivalent(X0,X4),X2),equivalent(equivalent(X1,X4),X3))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X5,X6),equivalent(X5,X7)),X8),equivalent(equivalent(X6,X7),X8)),X9),X9)),equivalent(equivalent(equivalent(equivalent(X10,X11),X12),X13),equivalent(equivalent(equivalent(X10,X14),X12),equivalent(equivalent(X11,X14),X13))))),true,true,true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_101])]) ).

fof(f1012,plain,
    ( ! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X14,X4,X16,X18,X19,X17,X15,X5,X12,X13] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),X2),X3),equivalent(equivalent(equivalent(X0,X4),X2),equivalent(equivalent(X1,X4),X3))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X5,X6),equivalent(X5,X7)),X8),equivalent(equivalent(X6,X7),X8)),X9),X9)),equivalent(equivalent(equivalent(equivalent(X10,X11),X12),X13),equivalent(equivalent(equivalent(X10,X14),X12),equivalent(equivalent(X11,X14),X13)))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X15,X16),equivalent(X15,X17)),X18),equivalent(equivalent(X16,X17),X18)),X19),X19))),true,true,true)
    | ~ spl0_15
    | ~ spl0_101 ),
    inference(superposition,[],[f137,f983]) ).

fof(f983,plain,
    ( ! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X14,X4,X5,X12,X13] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),X2),X3),equivalent(equivalent(equivalent(X0,X4),X2),equivalent(equivalent(X1,X4),X3))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X5,X6),equivalent(X5,X7)),X8),equivalent(equivalent(X6,X7),X8)),X9),X9)),equivalent(equivalent(equivalent(equivalent(X10,X11),X12),X13),equivalent(equivalent(equivalent(X10,X14),X12),equivalent(equivalent(X11,X14),X13))))),true,true,true)
    | ~ spl0_101 ),
    inference(avatar_component_clause,[],[f982]) ).

fof(f5445,plain,
    ( spl0_360
    | ~ spl0_16
    | ~ spl0_101 ),
    inference(avatar_split_clause,[],[f1011,f982,f140,f5443]) ).

fof(f5443,plain,
    ( spl0_360
  <=> ! [X7,X2,X3,X10,X0,X11,X18,X8,X19,X9,X16,X14,X4,X1,X6,X17,X15,X5,X12,X13] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),X2),X3),equivalent(equivalent(equivalent(X0,X4),X2),equivalent(equivalent(X1,X4),X3))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X5,X6),equivalent(X5,X7)),X8),equivalent(equivalent(X6,X7),X8)),X9),X9)),equivalent(equivalent(equivalent(equivalent(X10,X11),X12),X13),equivalent(equivalent(equivalent(X10,X14),X12),equivalent(equivalent(X11,X14),X13)))),equivalent(equivalent(equivalent(equivalent(X15,X16),X17),X18),equivalent(equivalent(equivalent(X15,X19),X17),equivalent(equivalent(X16,X19),X18))))),true,true,true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_360])]) ).

fof(f1011,plain,
    ( ! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X14,X4,X16,X18,X19,X17,X15,X5,X12,X13] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),X2),X3),equivalent(equivalent(equivalent(X0,X4),X2),equivalent(equivalent(X1,X4),X3))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X5,X6),equivalent(X5,X7)),X8),equivalent(equivalent(X6,X7),X8)),X9),X9)),equivalent(equivalent(equivalent(equivalent(X10,X11),X12),X13),equivalent(equivalent(equivalent(X10,X14),X12),equivalent(equivalent(X11,X14),X13)))),equivalent(equivalent(equivalent(equivalent(X15,X16),X17),X18),equivalent(equivalent(equivalent(X15,X19),X17),equivalent(equivalent(X16,X19),X18))))),true,true,true)
    | ~ spl0_16
    | ~ spl0_101 ),
    inference(superposition,[],[f141,f983]) ).

fof(f5441,plain,
    ( spl0_359
    | ~ spl0_2
    | ~ spl0_109 ),
    inference(avatar_split_clause,[],[f1153,f1144,f13,f5439]) ).

fof(f5439,plain,
    ( spl0_359
  <=> ! [X0,X3,X2,X1] : true = is_a_theorem(equivalent(equivalent(X0,equivalent(X1,X2)),equivalent(equivalent(equivalent(X1,X3),X0),equivalent(X3,X2)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_359])]) ).

fof(f1144,plain,
    ( spl0_109
  <=> ! [X0,X3,X2,X1] : true = ifeq(true,true,is_a_theorem(equivalent(equivalent(X3,equivalent(X0,X2)),equivalent(equivalent(equivalent(X0,X1),X3),equivalent(X1,X2)))),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_109])]) ).

fof(f1153,plain,
    ( ! [X2,X3,X0,X1] : true = is_a_theorem(equivalent(equivalent(X0,equivalent(X1,X2)),equivalent(equivalent(equivalent(X1,X3),X0),equivalent(X3,X2))))
    | ~ spl0_2
    | ~ spl0_109 ),
    inference(superposition,[],[f1145,f14]) ).

fof(f1145,plain,
    ( ! [X2,X3,X0,X1] : true = ifeq(true,true,is_a_theorem(equivalent(equivalent(X3,equivalent(X0,X2)),equivalent(equivalent(equivalent(X0,X1),X3),equivalent(X1,X2)))),true)
    | ~ spl0_109 ),
    inference(avatar_component_clause,[],[f1144]) ).

fof(f5437,plain,
    ( spl0_358
    | ~ spl0_15
    | ~ spl0_100 ),
    inference(avatar_split_clause,[],[f1009,f978,f136,f5435]) ).

fof(f5435,plain,
    ( spl0_358
  <=> ! [X7,X2,X3,X10,X0,X11,X18,X8,X19,X9,X16,X14,X4,X1,X6,X17,X15,X5,X12,X13] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),X3),equivalent(equivalent(X1,X2),X3)),X4),X4),equivalent(equivalent(equivalent(equivalent(X5,X6),X7),X8),equivalent(equivalent(equivalent(X5,X9),X7),equivalent(equivalent(X6,X9),X8)))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X10,X11),equivalent(X10,X12)),X13),equivalent(equivalent(X11,X12),X13)),X14),X14)),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X15,X16),equivalent(X15,X17)),X18),equivalent(equivalent(X16,X17),X18)),X19),X19))),true,true,true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_358])]) ).

fof(f978,plain,
    ( spl0_100
  <=> ! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X14,X4,X5,X12,X13] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),X3),equivalent(equivalent(X1,X2),X3)),X4),X4),equivalent(equivalent(equivalent(equivalent(X5,X6),X7),X8),equivalent(equivalent(equivalent(X5,X9),X7),equivalent(equivalent(X6,X9),X8)))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X10,X11),equivalent(X10,X12)),X13),equivalent(equivalent(X11,X12),X13)),X14),X14))),true,true,true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_100])]) ).

fof(f1009,plain,
    ( ! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X14,X4,X16,X18,X19,X17,X15,X5,X12,X13] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),X3),equivalent(equivalent(X1,X2),X3)),X4),X4),equivalent(equivalent(equivalent(equivalent(X5,X6),X7),X8),equivalent(equivalent(equivalent(X5,X9),X7),equivalent(equivalent(X6,X9),X8)))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X10,X11),equivalent(X10,X12)),X13),equivalent(equivalent(X11,X12),X13)),X14),X14)),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X15,X16),equivalent(X15,X17)),X18),equivalent(equivalent(X16,X17),X18)),X19),X19))),true,true,true)
    | ~ spl0_15
    | ~ spl0_100 ),
    inference(superposition,[],[f137,f979]) ).

fof(f979,plain,
    ( ! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X14,X4,X5,X12,X13] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),X3),equivalent(equivalent(X1,X2),X3)),X4),X4),equivalent(equivalent(equivalent(equivalent(X5,X6),X7),X8),equivalent(equivalent(equivalent(X5,X9),X7),equivalent(equivalent(X6,X9),X8)))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X10,X11),equivalent(X10,X12)),X13),equivalent(equivalent(X11,X12),X13)),X14),X14))),true,true,true)
    | ~ spl0_100 ),
    inference(avatar_component_clause,[],[f978]) ).

fof(f5433,plain,
    ( spl0_357
    | ~ spl0_16
    | ~ spl0_100 ),
    inference(avatar_split_clause,[],[f1008,f978,f140,f5431]) ).

fof(f5431,plain,
    ( spl0_357
  <=> ! [X7,X2,X3,X10,X0,X11,X18,X8,X19,X9,X16,X14,X4,X1,X6,X17,X15,X5,X12,X13] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),X3),equivalent(equivalent(X1,X2),X3)),X4),X4),equivalent(equivalent(equivalent(equivalent(X5,X6),X7),X8),equivalent(equivalent(equivalent(X5,X9),X7),equivalent(equivalent(X6,X9),X8)))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X10,X11),equivalent(X10,X12)),X13),equivalent(equivalent(X11,X12),X13)),X14),X14)),equivalent(equivalent(equivalent(equivalent(X15,X16),X17),X18),equivalent(equivalent(equivalent(X15,X19),X17),equivalent(equivalent(X16,X19),X18))))),true,true,true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_357])]) ).

fof(f1008,plain,
    ( ! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X14,X4,X16,X18,X19,X17,X15,X5,X12,X13] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),X3),equivalent(equivalent(X1,X2),X3)),X4),X4),equivalent(equivalent(equivalent(equivalent(X5,X6),X7),X8),equivalent(equivalent(equivalent(X5,X9),X7),equivalent(equivalent(X6,X9),X8)))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X10,X11),equivalent(X10,X12)),X13),equivalent(equivalent(X11,X12),X13)),X14),X14)),equivalent(equivalent(equivalent(equivalent(X15,X16),X17),X18),equivalent(equivalent(equivalent(X15,X19),X17),equivalent(equivalent(X16,X19),X18))))),true,true,true)
    | ~ spl0_16
    | ~ spl0_100 ),
    inference(superposition,[],[f141,f979]) ).

fof(f5429,plain,
    ( spl0_356
    | ~ spl0_15
    | ~ spl0_99 ),
    inference(avatar_split_clause,[],[f1006,f974,f136,f5427]) ).

fof(f5427,plain,
    ( spl0_356
  <=> ! [X7,X2,X3,X10,X0,X11,X18,X8,X19,X9,X16,X14,X4,X1,X6,X17,X15,X5,X12,X13] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),X3),equivalent(equivalent(X1,X2),X3)),X4),X4),equivalent(equivalent(equivalent(equivalent(X5,X6),X7),X8),equivalent(equivalent(equivalent(X5,X9),X7),equivalent(equivalent(X6,X9),X8)))),equivalent(equivalent(equivalent(equivalent(X10,X11),X12),X13),equivalent(equivalent(equivalent(X10,X14),X12),equivalent(equivalent(X11,X14),X13)))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X15,X16),equivalent(X15,X17)),X18),equivalent(equivalent(X16,X17),X18)),X19),X19))),true,true,true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_356])]) ).

fof(f974,plain,
    ( spl0_99
  <=> ! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X14,X4,X5,X12,X13] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),X3),equivalent(equivalent(X1,X2),X3)),X4),X4),equivalent(equivalent(equivalent(equivalent(X5,X6),X7),X8),equivalent(equivalent(equivalent(X5,X9),X7),equivalent(equivalent(X6,X9),X8)))),equivalent(equivalent(equivalent(equivalent(X10,X11),X12),X13),equivalent(equivalent(equivalent(X10,X14),X12),equivalent(equivalent(X11,X14),X13))))),true,true,true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_99])]) ).

fof(f1006,plain,
    ( ! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X14,X4,X16,X18,X19,X17,X15,X5,X12,X13] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),X3),equivalent(equivalent(X1,X2),X3)),X4),X4),equivalent(equivalent(equivalent(equivalent(X5,X6),X7),X8),equivalent(equivalent(equivalent(X5,X9),X7),equivalent(equivalent(X6,X9),X8)))),equivalent(equivalent(equivalent(equivalent(X10,X11),X12),X13),equivalent(equivalent(equivalent(X10,X14),X12),equivalent(equivalent(X11,X14),X13)))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X15,X16),equivalent(X15,X17)),X18),equivalent(equivalent(X16,X17),X18)),X19),X19))),true,true,true)
    | ~ spl0_15
    | ~ spl0_99 ),
    inference(superposition,[],[f137,f975]) ).

fof(f975,plain,
    ( ! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X14,X4,X5,X12,X13] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),X3),equivalent(equivalent(X1,X2),X3)),X4),X4),equivalent(equivalent(equivalent(equivalent(X5,X6),X7),X8),equivalent(equivalent(equivalent(X5,X9),X7),equivalent(equivalent(X6,X9),X8)))),equivalent(equivalent(equivalent(equivalent(X10,X11),X12),X13),equivalent(equivalent(equivalent(X10,X14),X12),equivalent(equivalent(X11,X14),X13))))),true,true,true)
    | ~ spl0_99 ),
    inference(avatar_component_clause,[],[f974]) ).

fof(f5425,plain,
    ( spl0_355
    | ~ spl0_16
    | ~ spl0_99 ),
    inference(avatar_split_clause,[],[f1005,f974,f140,f5423]) ).

fof(f5423,plain,
    ( spl0_355
  <=> ! [X7,X2,X3,X10,X0,X11,X18,X8,X19,X9,X16,X14,X4,X1,X6,X17,X15,X5,X12,X13] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),X3),equivalent(equivalent(X1,X2),X3)),X4),X4),equivalent(equivalent(equivalent(equivalent(X5,X6),X7),X8),equivalent(equivalent(equivalent(X5,X9),X7),equivalent(equivalent(X6,X9),X8)))),equivalent(equivalent(equivalent(equivalent(X10,X11),X12),X13),equivalent(equivalent(equivalent(X10,X14),X12),equivalent(equivalent(X11,X14),X13)))),equivalent(equivalent(equivalent(equivalent(X15,X16),X17),X18),equivalent(equivalent(equivalent(X15,X19),X17),equivalent(equivalent(X16,X19),X18))))),true,true,true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_355])]) ).

fof(f1005,plain,
    ( ! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X14,X4,X16,X18,X19,X17,X15,X5,X12,X13] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),X3),equivalent(equivalent(X1,X2),X3)),X4),X4),equivalent(equivalent(equivalent(equivalent(X5,X6),X7),X8),equivalent(equivalent(equivalent(X5,X9),X7),equivalent(equivalent(X6,X9),X8)))),equivalent(equivalent(equivalent(equivalent(X10,X11),X12),X13),equivalent(equivalent(equivalent(X10,X14),X12),equivalent(equivalent(X11,X14),X13)))),equivalent(equivalent(equivalent(equivalent(X15,X16),X17),X18),equivalent(equivalent(equivalent(X15,X19),X17),equivalent(equivalent(X16,X19),X18))))),true,true,true)
    | ~ spl0_16
    | ~ spl0_99 ),
    inference(superposition,[],[f141,f975]) ).

fof(f5421,plain,
    ( spl0_354
    | ~ spl0_15
    | ~ spl0_98 ),
    inference(avatar_split_clause,[],[f1003,f970,f136,f5419]) ).

fof(f5419,plain,
    ( spl0_354
  <=> ! [X7,X2,X3,X10,X0,X11,X18,X8,X19,X9,X16,X14,X4,X1,X6,X17,X15,X5,X12,X13] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),X3),equivalent(equivalent(X1,X2),X3)),X4),X4),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X5,X6),equivalent(X5,X7)),X8),equivalent(equivalent(X6,X7),X8)),X9),X9)),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X10,X11),equivalent(X10,X12)),X13),equivalent(equivalent(X11,X12),X13)),X14),X14)),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X15,X16),equivalent(X15,X17)),X18),equivalent(equivalent(X16,X17),X18)),X19),X19))),true,true,true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_354])]) ).

fof(f970,plain,
    ( spl0_98
  <=> ! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X14,X4,X5,X12,X13] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),X3),equivalent(equivalent(X1,X2),X3)),X4),X4),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X5,X6),equivalent(X5,X7)),X8),equivalent(equivalent(X6,X7),X8)),X9),X9)),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X10,X11),equivalent(X10,X12)),X13),equivalent(equivalent(X11,X12),X13)),X14),X14))),true,true,true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_98])]) ).

fof(f1003,plain,
    ( ! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X14,X4,X16,X18,X19,X17,X15,X5,X12,X13] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),X3),equivalent(equivalent(X1,X2),X3)),X4),X4),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X5,X6),equivalent(X5,X7)),X8),equivalent(equivalent(X6,X7),X8)),X9),X9)),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X10,X11),equivalent(X10,X12)),X13),equivalent(equivalent(X11,X12),X13)),X14),X14)),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X15,X16),equivalent(X15,X17)),X18),equivalent(equivalent(X16,X17),X18)),X19),X19))),true,true,true)
    | ~ spl0_15
    | ~ spl0_98 ),
    inference(superposition,[],[f137,f971]) ).

fof(f971,plain,
    ( ! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X14,X4,X5,X12,X13] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),X3),equivalent(equivalent(X1,X2),X3)),X4),X4),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X5,X6),equivalent(X5,X7)),X8),equivalent(equivalent(X6,X7),X8)),X9),X9)),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X10,X11),equivalent(X10,X12)),X13),equivalent(equivalent(X11,X12),X13)),X14),X14))),true,true,true)
    | ~ spl0_98 ),
    inference(avatar_component_clause,[],[f970]) ).

fof(f5417,plain,
    ( spl0_353
    | ~ spl0_16
    | ~ spl0_98 ),
    inference(avatar_split_clause,[],[f1002,f970,f140,f5415]) ).

fof(f5415,plain,
    ( spl0_353
  <=> ! [X7,X2,X3,X10,X0,X11,X18,X8,X19,X9,X16,X14,X4,X1,X6,X17,X15,X5,X12,X13] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),X3),equivalent(equivalent(X1,X2),X3)),X4),X4),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X5,X6),equivalent(X5,X7)),X8),equivalent(equivalent(X6,X7),X8)),X9),X9)),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X10,X11),equivalent(X10,X12)),X13),equivalent(equivalent(X11,X12),X13)),X14),X14)),equivalent(equivalent(equivalent(equivalent(X15,X16),X17),X18),equivalent(equivalent(equivalent(X15,X19),X17),equivalent(equivalent(X16,X19),X18))))),true,true,true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_353])]) ).

fof(f1002,plain,
    ( ! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X14,X4,X16,X18,X19,X17,X15,X5,X12,X13] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),X3),equivalent(equivalent(X1,X2),X3)),X4),X4),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X5,X6),equivalent(X5,X7)),X8),equivalent(equivalent(X6,X7),X8)),X9),X9)),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X10,X11),equivalent(X10,X12)),X13),equivalent(equivalent(X11,X12),X13)),X14),X14)),equivalent(equivalent(equivalent(equivalent(X15,X16),X17),X18),equivalent(equivalent(equivalent(X15,X19),X17),equivalent(equivalent(X16,X19),X18))))),true,true,true)
    | ~ spl0_16
    | ~ spl0_98 ),
    inference(superposition,[],[f141,f971]) ).

fof(f5413,plain,
    ( spl0_352
    | ~ spl0_15
    | ~ spl0_97 ),
    inference(avatar_split_clause,[],[f998,f966,f136,f5411]) ).

fof(f5411,plain,
    ( spl0_352
  <=> ! [X7,X2,X3,X10,X0,X11,X18,X8,X19,X9,X16,X14,X4,X1,X6,X17,X15,X5,X12,X13] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),X3),equivalent(equivalent(X1,X2),X3)),X4),X4),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X5,X6),equivalent(X5,X7)),X8),equivalent(equivalent(X6,X7),X8)),X9),X9)),equivalent(equivalent(equivalent(equivalent(X10,X11),X12),X13),equivalent(equivalent(equivalent(X10,X14),X12),equivalent(equivalent(X11,X14),X13)))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X15,X16),equivalent(X15,X17)),X18),equivalent(equivalent(X16,X17),X18)),X19),X19))),true,true,true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_352])]) ).

fof(f966,plain,
    ( spl0_97
  <=> ! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X14,X4,X5,X12,X13] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),X3),equivalent(equivalent(X1,X2),X3)),X4),X4),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X5,X6),equivalent(X5,X7)),X8),equivalent(equivalent(X6,X7),X8)),X9),X9)),equivalent(equivalent(equivalent(equivalent(X10,X11),X12),X13),equivalent(equivalent(equivalent(X10,X14),X12),equivalent(equivalent(X11,X14),X13))))),true,true,true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_97])]) ).

fof(f998,plain,
    ( ! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X14,X4,X16,X18,X19,X17,X15,X5,X12,X13] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),X3),equivalent(equivalent(X1,X2),X3)),X4),X4),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X5,X6),equivalent(X5,X7)),X8),equivalent(equivalent(X6,X7),X8)),X9),X9)),equivalent(equivalent(equivalent(equivalent(X10,X11),X12),X13),equivalent(equivalent(equivalent(X10,X14),X12),equivalent(equivalent(X11,X14),X13)))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X15,X16),equivalent(X15,X17)),X18),equivalent(equivalent(X16,X17),X18)),X19),X19))),true,true,true)
    | ~ spl0_15
    | ~ spl0_97 ),
    inference(superposition,[],[f137,f967]) ).

fof(f967,plain,
    ( ! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X14,X4,X5,X12,X13] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),X3),equivalent(equivalent(X1,X2),X3)),X4),X4),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X5,X6),equivalent(X5,X7)),X8),equivalent(equivalent(X6,X7),X8)),X9),X9)),equivalent(equivalent(equivalent(equivalent(X10,X11),X12),X13),equivalent(equivalent(equivalent(X10,X14),X12),equivalent(equivalent(X11,X14),X13))))),true,true,true)
    | ~ spl0_97 ),
    inference(avatar_component_clause,[],[f966]) ).

fof(f5409,plain,
    ( spl0_351
    | ~ spl0_16
    | ~ spl0_97 ),
    inference(avatar_split_clause,[],[f997,f966,f140,f5407]) ).

fof(f5407,plain,
    ( spl0_351
  <=> ! [X7,X2,X3,X10,X0,X11,X18,X8,X19,X9,X16,X14,X4,X1,X6,X17,X15,X5,X12,X13] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),X3),equivalent(equivalent(X1,X2),X3)),X4),X4),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X5,X6),equivalent(X5,X7)),X8),equivalent(equivalent(X6,X7),X8)),X9),X9)),equivalent(equivalent(equivalent(equivalent(X10,X11),X12),X13),equivalent(equivalent(equivalent(X10,X14),X12),equivalent(equivalent(X11,X14),X13)))),equivalent(equivalent(equivalent(equivalent(X15,X16),X17),X18),equivalent(equivalent(equivalent(X15,X19),X17),equivalent(equivalent(X16,X19),X18))))),true,true,true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_351])]) ).

fof(f997,plain,
    ( ! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X14,X4,X16,X18,X19,X17,X15,X5,X12,X13] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),X3),equivalent(equivalent(X1,X2),X3)),X4),X4),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X5,X6),equivalent(X5,X7)),X8),equivalent(equivalent(X6,X7),X8)),X9),X9)),equivalent(equivalent(equivalent(equivalent(X10,X11),X12),X13),equivalent(equivalent(equivalent(X10,X14),X12),equivalent(equivalent(X11,X14),X13)))),equivalent(equivalent(equivalent(equivalent(X15,X16),X17),X18),equivalent(equivalent(equivalent(X15,X19),X17),equivalent(equivalent(X16,X19),X18))))),true,true,true)
    | ~ spl0_16
    | ~ spl0_97 ),
    inference(superposition,[],[f141,f967]) ).

fof(f5387,plain,
    ( spl0_350
    | ~ spl0_2
    | ~ spl0_107 ),
    inference(avatar_split_clause,[],[f1151,f1134,f13,f5385]) ).

fof(f5385,plain,
    ( spl0_350
  <=> ! [X0,X3,X2,X1] : true = is_a_theorem(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),X3),equivalent(equivalent(X1,X2),X3))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_350])]) ).

fof(f1134,plain,
    ( spl0_107
  <=> ! [X0,X3,X2,X1] : true = ifeq(true,true,is_a_theorem(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),X3),equivalent(equivalent(X1,X2),X3))),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_107])]) ).

fof(f1151,plain,
    ( ! [X2,X3,X0,X1] : true = is_a_theorem(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),X3),equivalent(equivalent(X1,X2),X3)))
    | ~ spl0_2
    | ~ spl0_107 ),
    inference(superposition,[],[f1135,f14]) ).

fof(f1135,plain,
    ( ! [X2,X3,X0,X1] : true = ifeq(true,true,is_a_theorem(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),X3),equivalent(equivalent(X1,X2),X3))),true)
    | ~ spl0_107 ),
    inference(avatar_component_clause,[],[f1134]) ).

fof(f5291,plain,
    ( spl0_349
    | ~ spl0_50
    | ~ spl0_51 ),
    inference(avatar_split_clause,[],[f793,f468,f430,f5289]) ).

fof(f430,plain,
    ( spl0_50
  <=> ! [X0,X3,X2,X1] : true = is_a_theorem(equivalent(equivalent(equivalent(X0,X1),X2),equivalent(equivalent(X3,X1),equivalent(equivalent(X0,X3),X2)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_50])]) ).

fof(f793,plain,
    ( ! [X2,X0,X1] : true = ifeq(true,true,is_a_theorem(equivalent(equivalent(X2,X1),equivalent(equivalent(X0,X2),equivalent(X0,X1)))),true)
    | ~ spl0_50
    | ~ spl0_51 ),
    inference(superposition,[],[f469,f431]) ).

fof(f431,plain,
    ( ! [X2,X3,X0,X1] : true = is_a_theorem(equivalent(equivalent(equivalent(X0,X1),X2),equivalent(equivalent(X3,X1),equivalent(equivalent(X0,X3),X2))))
    | ~ spl0_50 ),
    inference(avatar_component_clause,[],[f430]) ).

fof(f5078,plain,
    ( spl0_348
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_269 ),
    inference(avatar_split_clause,[],[f4010,f3869,f17,f13,f5076]) ).

fof(f5076,plain,
    ( spl0_348
  <=> ! [X2,X0,X1] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(X0,X0),equivalent(X1,X1)),X2)),true,is_a_theorem(X2),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_348])]) ).

fof(f3869,plain,
    ( spl0_269
  <=> ! [X0,X1] : true = is_a_theorem(equivalent(equivalent(X0,X0),equivalent(X1,X1))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_269])]) ).

fof(f4010,plain,
    ( ! [X2,X0,X1] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(X0,X0),equivalent(X1,X1)),X2)),true,is_a_theorem(X2),true)
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_269 ),
    inference(forward_demodulation,[],[f3968,f14]) ).

fof(f3968,plain,
    ( ! [X2,X0,X1] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(X0,X0),equivalent(X1,X1)),X2)),true,ifeq(true,true,is_a_theorem(X2),true),true)
    | ~ spl0_3
    | ~ spl0_269 ),
    inference(superposition,[],[f18,f3870]) ).

fof(f3870,plain,
    ( ! [X0,X1] : true = is_a_theorem(equivalent(equivalent(X0,X0),equivalent(X1,X1)))
    | ~ spl0_269 ),
    inference(avatar_component_clause,[],[f3869]) ).

fof(f5074,plain,
    ( spl0_347
    | ~ spl0_9
    | ~ spl0_104 ),
    inference(avatar_split_clause,[],[f1023,f994,f66,f5072]) ).

fof(f5072,plain,
    ( spl0_347
  <=> ! [X7,X2,X3,X10,X0,X11,X18,X8,X6,X9,X16,X14,X4,X1,X17,X15,X5,X12,X13] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),X2),X3),equivalent(equivalent(equivalent(X0,X4),X2),equivalent(equivalent(X1,X4),X3))),equivalent(equivalent(equivalent(equivalent(X5,X6),X7),X8),equivalent(equivalent(equivalent(X5,X9),X7),equivalent(equivalent(X6,X9),X8)))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X10,X11),equivalent(X10,X12)),X13),equivalent(equivalent(X11,X12),X13)),X14),X14)),equivalent(equivalent(equivalent(equivalent(equivalent(X15,X16),equivalent(X15,X17)),equivalent(X16,X17)),X18),X18))),true,true,true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_347])]) ).

fof(f1023,plain,
    ( ! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X14,X4,X16,X18,X17,X15,X5,X12,X13] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),X2),X3),equivalent(equivalent(equivalent(X0,X4),X2),equivalent(equivalent(X1,X4),X3))),equivalent(equivalent(equivalent(equivalent(X5,X6),X7),X8),equivalent(equivalent(equivalent(X5,X9),X7),equivalent(equivalent(X6,X9),X8)))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X10,X11),equivalent(X10,X12)),X13),equivalent(equivalent(X11,X12),X13)),X14),X14)),equivalent(equivalent(equivalent(equivalent(equivalent(X15,X16),equivalent(X15,X17)),equivalent(X16,X17)),X18),X18))),true,true,true)
    | ~ spl0_9
    | ~ spl0_104 ),
    inference(superposition,[],[f67,f995]) ).

fof(f5070,plain,
    ( spl0_346
    | ~ spl0_9
    | ~ spl0_103 ),
    inference(avatar_split_clause,[],[f1019,f990,f66,f5068]) ).

fof(f5068,plain,
    ( spl0_346
  <=> ! [X7,X2,X3,X10,X0,X11,X18,X8,X6,X9,X16,X14,X4,X1,X17,X15,X5,X12,X13] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),X2),X3),equivalent(equivalent(equivalent(X0,X4),X2),equivalent(equivalent(X1,X4),X3))),equivalent(equivalent(equivalent(equivalent(X5,X6),X7),X8),equivalent(equivalent(equivalent(X5,X9),X7),equivalent(equivalent(X6,X9),X8)))),equivalent(equivalent(equivalent(equivalent(X10,X11),X12),X13),equivalent(equivalent(equivalent(X10,X14),X12),equivalent(equivalent(X11,X14),X13)))),equivalent(equivalent(equivalent(equivalent(equivalent(X15,X16),equivalent(X15,X17)),equivalent(X16,X17)),X18),X18))),true,true,true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_346])]) ).

fof(f1019,plain,
    ( ! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X14,X4,X16,X18,X17,X15,X5,X12,X13] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),X2),X3),equivalent(equivalent(equivalent(X0,X4),X2),equivalent(equivalent(X1,X4),X3))),equivalent(equivalent(equivalent(equivalent(X5,X6),X7),X8),equivalent(equivalent(equivalent(X5,X9),X7),equivalent(equivalent(X6,X9),X8)))),equivalent(equivalent(equivalent(equivalent(X10,X11),X12),X13),equivalent(equivalent(equivalent(X10,X14),X12),equivalent(equivalent(X11,X14),X13)))),equivalent(equivalent(equivalent(equivalent(equivalent(X15,X16),equivalent(X15,X17)),equivalent(X16,X17)),X18),X18))),true,true,true)
    | ~ spl0_9
    | ~ spl0_103 ),
    inference(superposition,[],[f67,f991]) ).

fof(f5066,plain,
    ( spl0_345
    | ~ spl0_9
    | ~ spl0_102 ),
    inference(avatar_split_clause,[],[f1016,f986,f66,f5064]) ).

fof(f5064,plain,
    ( spl0_345
  <=> ! [X7,X2,X3,X10,X0,X11,X18,X8,X6,X9,X16,X14,X4,X1,X17,X15,X5,X12,X13] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),X2),X3),equivalent(equivalent(equivalent(X0,X4),X2),equivalent(equivalent(X1,X4),X3))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X5,X6),equivalent(X5,X7)),X8),equivalent(equivalent(X6,X7),X8)),X9),X9)),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X10,X11),equivalent(X10,X12)),X13),equivalent(equivalent(X11,X12),X13)),X14),X14)),equivalent(equivalent(equivalent(equivalent(equivalent(X15,X16),equivalent(X15,X17)),equivalent(X16,X17)),X18),X18))),true,true,true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_345])]) ).

fof(f1016,plain,
    ( ! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X14,X4,X16,X18,X17,X15,X5,X12,X13] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),X2),X3),equivalent(equivalent(equivalent(X0,X4),X2),equivalent(equivalent(X1,X4),X3))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X5,X6),equivalent(X5,X7)),X8),equivalent(equivalent(X6,X7),X8)),X9),X9)),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X10,X11),equivalent(X10,X12)),X13),equivalent(equivalent(X11,X12),X13)),X14),X14)),equivalent(equivalent(equivalent(equivalent(equivalent(X15,X16),equivalent(X15,X17)),equivalent(X16,X17)),X18),X18))),true,true,true)
    | ~ spl0_9
    | ~ spl0_102 ),
    inference(superposition,[],[f67,f987]) ).

fof(f5062,plain,
    ( spl0_344
    | ~ spl0_9
    | ~ spl0_101 ),
    inference(avatar_split_clause,[],[f1013,f982,f66,f5060]) ).

fof(f5060,plain,
    ( spl0_344
  <=> ! [X7,X2,X3,X10,X0,X11,X18,X8,X6,X9,X16,X14,X4,X1,X17,X15,X5,X12,X13] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),X2),X3),equivalent(equivalent(equivalent(X0,X4),X2),equivalent(equivalent(X1,X4),X3))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X5,X6),equivalent(X5,X7)),X8),equivalent(equivalent(X6,X7),X8)),X9),X9)),equivalent(equivalent(equivalent(equivalent(X10,X11),X12),X13),equivalent(equivalent(equivalent(X10,X14),X12),equivalent(equivalent(X11,X14),X13)))),equivalent(equivalent(equivalent(equivalent(equivalent(X15,X16),equivalent(X15,X17)),equivalent(X16,X17)),X18),X18))),true,true,true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_344])]) ).

fof(f1013,plain,
    ( ! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X14,X4,X16,X18,X17,X15,X5,X12,X13] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),X2),X3),equivalent(equivalent(equivalent(X0,X4),X2),equivalent(equivalent(X1,X4),X3))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X5,X6),equivalent(X5,X7)),X8),equivalent(equivalent(X6,X7),X8)),X9),X9)),equivalent(equivalent(equivalent(equivalent(X10,X11),X12),X13),equivalent(equivalent(equivalent(X10,X14),X12),equivalent(equivalent(X11,X14),X13)))),equivalent(equivalent(equivalent(equivalent(equivalent(X15,X16),equivalent(X15,X17)),equivalent(X16,X17)),X18),X18))),true,true,true)
    | ~ spl0_9
    | ~ spl0_101 ),
    inference(superposition,[],[f67,f983]) ).

fof(f5058,plain,
    ( spl0_343
    | ~ spl0_9
    | ~ spl0_100 ),
    inference(avatar_split_clause,[],[f1010,f978,f66,f5056]) ).

fof(f5056,plain,
    ( spl0_343
  <=> ! [X7,X2,X3,X10,X0,X11,X18,X8,X6,X9,X16,X14,X4,X1,X17,X15,X5,X12,X13] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),X3),equivalent(equivalent(X1,X2),X3)),X4),X4),equivalent(equivalent(equivalent(equivalent(X5,X6),X7),X8),equivalent(equivalent(equivalent(X5,X9),X7),equivalent(equivalent(X6,X9),X8)))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X10,X11),equivalent(X10,X12)),X13),equivalent(equivalent(X11,X12),X13)),X14),X14)),equivalent(equivalent(equivalent(equivalent(equivalent(X15,X16),equivalent(X15,X17)),equivalent(X16,X17)),X18),X18))),true,true,true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_343])]) ).

fof(f1010,plain,
    ( ! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X14,X4,X16,X18,X17,X15,X5,X12,X13] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),X3),equivalent(equivalent(X1,X2),X3)),X4),X4),equivalent(equivalent(equivalent(equivalent(X5,X6),X7),X8),equivalent(equivalent(equivalent(X5,X9),X7),equivalent(equivalent(X6,X9),X8)))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X10,X11),equivalent(X10,X12)),X13),equivalent(equivalent(X11,X12),X13)),X14),X14)),equivalent(equivalent(equivalent(equivalent(equivalent(X15,X16),equivalent(X15,X17)),equivalent(X16,X17)),X18),X18))),true,true,true)
    | ~ spl0_9
    | ~ spl0_100 ),
    inference(superposition,[],[f67,f979]) ).

fof(f5054,plain,
    ( spl0_342
    | ~ spl0_9
    | ~ spl0_99 ),
    inference(avatar_split_clause,[],[f1007,f974,f66,f5052]) ).

fof(f5052,plain,
    ( spl0_342
  <=> ! [X7,X2,X3,X10,X0,X11,X18,X8,X6,X9,X16,X14,X4,X1,X17,X15,X5,X12,X13] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),X3),equivalent(equivalent(X1,X2),X3)),X4),X4),equivalent(equivalent(equivalent(equivalent(X5,X6),X7),X8),equivalent(equivalent(equivalent(X5,X9),X7),equivalent(equivalent(X6,X9),X8)))),equivalent(equivalent(equivalent(equivalent(X10,X11),X12),X13),equivalent(equivalent(equivalent(X10,X14),X12),equivalent(equivalent(X11,X14),X13)))),equivalent(equivalent(equivalent(equivalent(equivalent(X15,X16),equivalent(X15,X17)),equivalent(X16,X17)),X18),X18))),true,true,true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_342])]) ).

fof(f1007,plain,
    ( ! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X14,X4,X16,X18,X17,X15,X5,X12,X13] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),X3),equivalent(equivalent(X1,X2),X3)),X4),X4),equivalent(equivalent(equivalent(equivalent(X5,X6),X7),X8),equivalent(equivalent(equivalent(X5,X9),X7),equivalent(equivalent(X6,X9),X8)))),equivalent(equivalent(equivalent(equivalent(X10,X11),X12),X13),equivalent(equivalent(equivalent(X10,X14),X12),equivalent(equivalent(X11,X14),X13)))),equivalent(equivalent(equivalent(equivalent(equivalent(X15,X16),equivalent(X15,X17)),equivalent(X16,X17)),X18),X18))),true,true,true)
    | ~ spl0_9
    | ~ spl0_99 ),
    inference(superposition,[],[f67,f975]) ).

fof(f5050,plain,
    ( spl0_341
    | ~ spl0_9
    | ~ spl0_98 ),
    inference(avatar_split_clause,[],[f1004,f970,f66,f5048]) ).

fof(f5048,plain,
    ( spl0_341
  <=> ! [X7,X2,X3,X10,X0,X11,X18,X8,X6,X9,X16,X14,X4,X1,X17,X15,X5,X12,X13] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),X3),equivalent(equivalent(X1,X2),X3)),X4),X4),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X5,X6),equivalent(X5,X7)),X8),equivalent(equivalent(X6,X7),X8)),X9),X9)),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X10,X11),equivalent(X10,X12)),X13),equivalent(equivalent(X11,X12),X13)),X14),X14)),equivalent(equivalent(equivalent(equivalent(equivalent(X15,X16),equivalent(X15,X17)),equivalent(X16,X17)),X18),X18))),true,true,true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_341])]) ).

fof(f1004,plain,
    ( ! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X14,X4,X16,X18,X17,X15,X5,X12,X13] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),X3),equivalent(equivalent(X1,X2),X3)),X4),X4),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X5,X6),equivalent(X5,X7)),X8),equivalent(equivalent(X6,X7),X8)),X9),X9)),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X10,X11),equivalent(X10,X12)),X13),equivalent(equivalent(X11,X12),X13)),X14),X14)),equivalent(equivalent(equivalent(equivalent(equivalent(X15,X16),equivalent(X15,X17)),equivalent(X16,X17)),X18),X18))),true,true,true)
    | ~ spl0_9
    | ~ spl0_98 ),
    inference(superposition,[],[f67,f971]) ).

fof(f5046,plain,
    ( spl0_340
    | ~ spl0_9
    | ~ spl0_97 ),
    inference(avatar_split_clause,[],[f999,f966,f66,f5044]) ).

fof(f5044,plain,
    ( spl0_340
  <=> ! [X7,X2,X3,X10,X0,X11,X18,X8,X6,X9,X16,X14,X4,X1,X17,X15,X5,X12,X13] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),X3),equivalent(equivalent(X1,X2),X3)),X4),X4),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X5,X6),equivalent(X5,X7)),X8),equivalent(equivalent(X6,X7),X8)),X9),X9)),equivalent(equivalent(equivalent(equivalent(X10,X11),X12),X13),equivalent(equivalent(equivalent(X10,X14),X12),equivalent(equivalent(X11,X14),X13)))),equivalent(equivalent(equivalent(equivalent(equivalent(X15,X16),equivalent(X15,X17)),equivalent(X16,X17)),X18),X18))),true,true,true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_340])]) ).

fof(f999,plain,
    ( ! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X14,X4,X16,X18,X17,X15,X5,X12,X13] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),X3),equivalent(equivalent(X1,X2),X3)),X4),X4),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X5,X6),equivalent(X5,X7)),X8),equivalent(equivalent(X6,X7),X8)),X9),X9)),equivalent(equivalent(equivalent(equivalent(X10,X11),X12),X13),equivalent(equivalent(equivalent(X10,X14),X12),equivalent(equivalent(X11,X14),X13)))),equivalent(equivalent(equivalent(equivalent(equivalent(X15,X16),equivalent(X15,X17)),equivalent(X16,X17)),X18),X18))),true,true,true)
    | ~ spl0_9
    | ~ spl0_97 ),
    inference(superposition,[],[f67,f967]) ).

fof(f5042,plain,
    ( spl0_339
    | ~ spl0_15
    | ~ spl0_94 ),
    inference(avatar_split_clause,[],[f963,f918,f136,f5040]) ).

fof(f5040,plain,
    ( spl0_339
  <=> ! [X7,X2,X3,X10,X0,X11,X18,X8,X6,X9,X16,X14,X4,X1,X17,X15,X5,X12,X13] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),X2),X3),equivalent(equivalent(equivalent(X0,X4),X2),equivalent(equivalent(X1,X4),X3))),equivalent(equivalent(equivalent(equivalent(X5,X6),X7),X8),equivalent(equivalent(equivalent(X5,X9),X7),equivalent(equivalent(X6,X9),X8)))),equivalent(equivalent(equivalent(equivalent(equivalent(X10,X11),equivalent(X10,X12)),equivalent(X11,X12)),X13),X13)),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X14,X15),equivalent(X14,X16)),X17),equivalent(equivalent(X15,X16),X17)),X18),X18))),true,true,true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_339])]) ).

fof(f918,plain,
    ( spl0_94
  <=> ! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X4,X5,X12,X13] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),X2),X3),equivalent(equivalent(equivalent(X0,X4),X2),equivalent(equivalent(X1,X4),X3))),equivalent(equivalent(equivalent(equivalent(X5,X6),X7),X8),equivalent(equivalent(equivalent(X5,X9),X7),equivalent(equivalent(X6,X9),X8)))),equivalent(equivalent(equivalent(equivalent(equivalent(X10,X11),equivalent(X10,X12)),equivalent(X11,X12)),X13),X13))),true,true,true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_94])]) ).

fof(f963,plain,
    ( ! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X14,X4,X16,X18,X17,X15,X5,X12,X13] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),X2),X3),equivalent(equivalent(equivalent(X0,X4),X2),equivalent(equivalent(X1,X4),X3))),equivalent(equivalent(equivalent(equivalent(X5,X6),X7),X8),equivalent(equivalent(equivalent(X5,X9),X7),equivalent(equivalent(X6,X9),X8)))),equivalent(equivalent(equivalent(equivalent(equivalent(X10,X11),equivalent(X10,X12)),equivalent(X11,X12)),X13),X13)),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X14,X15),equivalent(X14,X16)),X17),equivalent(equivalent(X15,X16),X17)),X18),X18))),true,true,true)
    | ~ spl0_15
    | ~ spl0_94 ),
    inference(superposition,[],[f137,f919]) ).

fof(f919,plain,
    ( ! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X4,X5,X12,X13] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),X2),X3),equivalent(equivalent(equivalent(X0,X4),X2),equivalent(equivalent(X1,X4),X3))),equivalent(equivalent(equivalent(equivalent(X5,X6),X7),X8),equivalent(equivalent(equivalent(X5,X9),X7),equivalent(equivalent(X6,X9),X8)))),equivalent(equivalent(equivalent(equivalent(equivalent(X10,X11),equivalent(X10,X12)),equivalent(X11,X12)),X13),X13))),true,true,true)
    | ~ spl0_94 ),
    inference(avatar_component_clause,[],[f918]) ).

fof(f5038,plain,
    ( spl0_338
    | ~ spl0_16
    | ~ spl0_94 ),
    inference(avatar_split_clause,[],[f962,f918,f140,f5036]) ).

fof(f5036,plain,
    ( spl0_338
  <=> ! [X7,X2,X3,X10,X0,X11,X18,X8,X6,X9,X16,X14,X4,X1,X17,X15,X5,X12,X13] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),X2),X3),equivalent(equivalent(equivalent(X0,X4),X2),equivalent(equivalent(X1,X4),X3))),equivalent(equivalent(equivalent(equivalent(X5,X6),X7),X8),equivalent(equivalent(equivalent(X5,X9),X7),equivalent(equivalent(X6,X9),X8)))),equivalent(equivalent(equivalent(equivalent(equivalent(X10,X11),equivalent(X10,X12)),equivalent(X11,X12)),X13),X13)),equivalent(equivalent(equivalent(equivalent(X14,X15),X16),X17),equivalent(equivalent(equivalent(X14,X18),X16),equivalent(equivalent(X15,X18),X17))))),true,true,true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_338])]) ).

fof(f962,plain,
    ( ! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X14,X4,X16,X18,X17,X15,X5,X12,X13] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),X2),X3),equivalent(equivalent(equivalent(X0,X4),X2),equivalent(equivalent(X1,X4),X3))),equivalent(equivalent(equivalent(equivalent(X5,X6),X7),X8),equivalent(equivalent(equivalent(X5,X9),X7),equivalent(equivalent(X6,X9),X8)))),equivalent(equivalent(equivalent(equivalent(equivalent(X10,X11),equivalent(X10,X12)),equivalent(X11,X12)),X13),X13)),equivalent(equivalent(equivalent(equivalent(X14,X15),X16),X17),equivalent(equivalent(equivalent(X14,X18),X16),equivalent(equivalent(X15,X18),X17))))),true,true,true)
    | ~ spl0_16
    | ~ spl0_94 ),
    inference(superposition,[],[f141,f919]) ).

fof(f5005,plain,
    ( spl0_337
    | ~ spl0_15
    | ~ spl0_93 ),
    inference(avatar_split_clause,[],[f956,f914,f136,f5003]) ).

fof(f5003,plain,
    ( spl0_337
  <=> ! [X7,X2,X3,X10,X0,X11,X18,X8,X6,X9,X16,X14,X4,X1,X17,X15,X5,X12,X13] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),X2),X3),equivalent(equivalent(equivalent(X0,X4),X2),equivalent(equivalent(X1,X4),X3))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X5,X6),equivalent(X5,X7)),X8),equivalent(equivalent(X6,X7),X8)),X9),X9)),equivalent(equivalent(equivalent(equivalent(equivalent(X10,X11),equivalent(X10,X12)),equivalent(X11,X12)),X13),X13)),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X14,X15),equivalent(X14,X16)),X17),equivalent(equivalent(X15,X16),X17)),X18),X18))),true,true,true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_337])]) ).

fof(f914,plain,
    ( spl0_93
  <=> ! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X4,X5,X12,X13] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),X2),X3),equivalent(equivalent(equivalent(X0,X4),X2),equivalent(equivalent(X1,X4),X3))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X5,X6),equivalent(X5,X7)),X8),equivalent(equivalent(X6,X7),X8)),X9),X9)),equivalent(equivalent(equivalent(equivalent(equivalent(X10,X11),equivalent(X10,X12)),equivalent(X11,X12)),X13),X13))),true,true,true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_93])]) ).

fof(f956,plain,
    ( ! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X14,X4,X16,X18,X17,X15,X5,X12,X13] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),X2),X3),equivalent(equivalent(equivalent(X0,X4),X2),equivalent(equivalent(X1,X4),X3))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X5,X6),equivalent(X5,X7)),X8),equivalent(equivalent(X6,X7),X8)),X9),X9)),equivalent(equivalent(equivalent(equivalent(equivalent(X10,X11),equivalent(X10,X12)),equivalent(X11,X12)),X13),X13)),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X14,X15),equivalent(X14,X16)),X17),equivalent(equivalent(X15,X16),X17)),X18),X18))),true,true,true)
    | ~ spl0_15
    | ~ spl0_93 ),
    inference(superposition,[],[f137,f915]) ).

fof(f915,plain,
    ( ! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X4,X5,X12,X13] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),X2),X3),equivalent(equivalent(equivalent(X0,X4),X2),equivalent(equivalent(X1,X4),X3))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X5,X6),equivalent(X5,X7)),X8),equivalent(equivalent(X6,X7),X8)),X9),X9)),equivalent(equivalent(equivalent(equivalent(equivalent(X10,X11),equivalent(X10,X12)),equivalent(X11,X12)),X13),X13))),true,true,true)
    | ~ spl0_93 ),
    inference(avatar_component_clause,[],[f914]) ).

fof(f5001,plain,
    ( spl0_336
    | ~ spl0_16
    | ~ spl0_93 ),
    inference(avatar_split_clause,[],[f955,f914,f140,f4999]) ).

fof(f4999,plain,
    ( spl0_336
  <=> ! [X7,X2,X3,X10,X0,X11,X18,X8,X6,X9,X16,X14,X4,X1,X17,X15,X5,X12,X13] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),X2),X3),equivalent(equivalent(equivalent(X0,X4),X2),equivalent(equivalent(X1,X4),X3))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X5,X6),equivalent(X5,X7)),X8),equivalent(equivalent(X6,X7),X8)),X9),X9)),equivalent(equivalent(equivalent(equivalent(equivalent(X10,X11),equivalent(X10,X12)),equivalent(X11,X12)),X13),X13)),equivalent(equivalent(equivalent(equivalent(X14,X15),X16),X17),equivalent(equivalent(equivalent(X14,X18),X16),equivalent(equivalent(X15,X18),X17))))),true,true,true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_336])]) ).

fof(f955,plain,
    ( ! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X14,X4,X16,X18,X17,X15,X5,X12,X13] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),X2),X3),equivalent(equivalent(equivalent(X0,X4),X2),equivalent(equivalent(X1,X4),X3))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X5,X6),equivalent(X5,X7)),X8),equivalent(equivalent(X6,X7),X8)),X9),X9)),equivalent(equivalent(equivalent(equivalent(equivalent(X10,X11),equivalent(X10,X12)),equivalent(X11,X12)),X13),X13)),equivalent(equivalent(equivalent(equivalent(X14,X15),X16),X17),equivalent(equivalent(equivalent(X14,X18),X16),equivalent(equivalent(X15,X18),X17))))),true,true,true)
    | ~ spl0_16
    | ~ spl0_93 ),
    inference(superposition,[],[f141,f915]) ).

fof(f4997,plain,
    ( spl0_335
    | ~ spl0_15
    | ~ spl0_92 ),
    inference(avatar_split_clause,[],[f953,f910,f136,f4995]) ).

fof(f4995,plain,
    ( spl0_335
  <=> ! [X7,X2,X3,X10,X0,X11,X18,X8,X6,X9,X16,X14,X4,X1,X17,X15,X5,X12,X13] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),X3),equivalent(equivalent(X1,X2),X3)),X4),X4),equivalent(equivalent(equivalent(equivalent(X5,X6),X7),X8),equivalent(equivalent(equivalent(X5,X9),X7),equivalent(equivalent(X6,X9),X8)))),equivalent(equivalent(equivalent(equivalent(equivalent(X10,X11),equivalent(X10,X12)),equivalent(X11,X12)),X13),X13)),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X14,X15),equivalent(X14,X16)),X17),equivalent(equivalent(X15,X16),X17)),X18),X18))),true,true,true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_335])]) ).

fof(f910,plain,
    ( spl0_92
  <=> ! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X4,X5,X12,X13] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),X3),equivalent(equivalent(X1,X2),X3)),X4),X4),equivalent(equivalent(equivalent(equivalent(X5,X6),X7),X8),equivalent(equivalent(equivalent(X5,X9),X7),equivalent(equivalent(X6,X9),X8)))),equivalent(equivalent(equivalent(equivalent(equivalent(X10,X11),equivalent(X10,X12)),equivalent(X11,X12)),X13),X13))),true,true,true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_92])]) ).

fof(f953,plain,
    ( ! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X14,X4,X16,X18,X17,X15,X5,X12,X13] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),X3),equivalent(equivalent(X1,X2),X3)),X4),X4),equivalent(equivalent(equivalent(equivalent(X5,X6),X7),X8),equivalent(equivalent(equivalent(X5,X9),X7),equivalent(equivalent(X6,X9),X8)))),equivalent(equivalent(equivalent(equivalent(equivalent(X10,X11),equivalent(X10,X12)),equivalent(X11,X12)),X13),X13)),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X14,X15),equivalent(X14,X16)),X17),equivalent(equivalent(X15,X16),X17)),X18),X18))),true,true,true)
    | ~ spl0_15
    | ~ spl0_92 ),
    inference(superposition,[],[f137,f911]) ).

fof(f911,plain,
    ( ! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X4,X5,X12,X13] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),X3),equivalent(equivalent(X1,X2),X3)),X4),X4),equivalent(equivalent(equivalent(equivalent(X5,X6),X7),X8),equivalent(equivalent(equivalent(X5,X9),X7),equivalent(equivalent(X6,X9),X8)))),equivalent(equivalent(equivalent(equivalent(equivalent(X10,X11),equivalent(X10,X12)),equivalent(X11,X12)),X13),X13))),true,true,true)
    | ~ spl0_92 ),
    inference(avatar_component_clause,[],[f910]) ).

fof(f4993,plain,
    ( spl0_334
    | ~ spl0_16
    | ~ spl0_92 ),
    inference(avatar_split_clause,[],[f952,f910,f140,f4991]) ).

fof(f4991,plain,
    ( spl0_334
  <=> ! [X7,X2,X3,X10,X0,X11,X18,X8,X6,X9,X16,X14,X4,X1,X17,X15,X5,X12,X13] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),X3),equivalent(equivalent(X1,X2),X3)),X4),X4),equivalent(equivalent(equivalent(equivalent(X5,X6),X7),X8),equivalent(equivalent(equivalent(X5,X9),X7),equivalent(equivalent(X6,X9),X8)))),equivalent(equivalent(equivalent(equivalent(equivalent(X10,X11),equivalent(X10,X12)),equivalent(X11,X12)),X13),X13)),equivalent(equivalent(equivalent(equivalent(X14,X15),X16),X17),equivalent(equivalent(equivalent(X14,X18),X16),equivalent(equivalent(X15,X18),X17))))),true,true,true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_334])]) ).

fof(f952,plain,
    ( ! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X14,X4,X16,X18,X17,X15,X5,X12,X13] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),X3),equivalent(equivalent(X1,X2),X3)),X4),X4),equivalent(equivalent(equivalent(equivalent(X5,X6),X7),X8),equivalent(equivalent(equivalent(X5,X9),X7),equivalent(equivalent(X6,X9),X8)))),equivalent(equivalent(equivalent(equivalent(equivalent(X10,X11),equivalent(X10,X12)),equivalent(X11,X12)),X13),X13)),equivalent(equivalent(equivalent(equivalent(X14,X15),X16),X17),equivalent(equivalent(equivalent(X14,X18),X16),equivalent(equivalent(X15,X18),X17))))),true,true,true)
    | ~ spl0_16
    | ~ spl0_92 ),
    inference(superposition,[],[f141,f911]) ).

fof(f4989,plain,
    ( spl0_333
    | ~ spl0_15
    | ~ spl0_91 ),
    inference(avatar_split_clause,[],[f950,f906,f136,f4987]) ).

fof(f4987,plain,
    ( spl0_333
  <=> ! [X7,X2,X3,X10,X0,X11,X18,X8,X6,X9,X16,X14,X4,X1,X17,X15,X5,X12,X13] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),X3),equivalent(equivalent(X1,X2),X3)),X4),X4),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X5,X6),equivalent(X5,X7)),X8),equivalent(equivalent(X6,X7),X8)),X9),X9)),equivalent(equivalent(equivalent(equivalent(equivalent(X10,X11),equivalent(X10,X12)),equivalent(X11,X12)),X13),X13)),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X14,X15),equivalent(X14,X16)),X17),equivalent(equivalent(X15,X16),X17)),X18),X18))),true,true,true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_333])]) ).

fof(f906,plain,
    ( spl0_91
  <=> ! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X4,X5,X12,X13] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),X3),equivalent(equivalent(X1,X2),X3)),X4),X4),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X5,X6),equivalent(X5,X7)),X8),equivalent(equivalent(X6,X7),X8)),X9),X9)),equivalent(equivalent(equivalent(equivalent(equivalent(X10,X11),equivalent(X10,X12)),equivalent(X11,X12)),X13),X13))),true,true,true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_91])]) ).

fof(f950,plain,
    ( ! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X14,X4,X16,X18,X17,X15,X5,X12,X13] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),X3),equivalent(equivalent(X1,X2),X3)),X4),X4),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X5,X6),equivalent(X5,X7)),X8),equivalent(equivalent(X6,X7),X8)),X9),X9)),equivalent(equivalent(equivalent(equivalent(equivalent(X10,X11),equivalent(X10,X12)),equivalent(X11,X12)),X13),X13)),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X14,X15),equivalent(X14,X16)),X17),equivalent(equivalent(X15,X16),X17)),X18),X18))),true,true,true)
    | ~ spl0_15
    | ~ spl0_91 ),
    inference(superposition,[],[f137,f907]) ).

fof(f907,plain,
    ( ! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X4,X5,X12,X13] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),X3),equivalent(equivalent(X1,X2),X3)),X4),X4),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X5,X6),equivalent(X5,X7)),X8),equivalent(equivalent(X6,X7),X8)),X9),X9)),equivalent(equivalent(equivalent(equivalent(equivalent(X10,X11),equivalent(X10,X12)),equivalent(X11,X12)),X13),X13))),true,true,true)
    | ~ spl0_91 ),
    inference(avatar_component_clause,[],[f906]) ).

fof(f4985,plain,
    ( spl0_332
    | ~ spl0_16
    | ~ spl0_91 ),
    inference(avatar_split_clause,[],[f949,f906,f140,f4983]) ).

fof(f4983,plain,
    ( spl0_332
  <=> ! [X7,X2,X3,X10,X0,X11,X18,X8,X6,X9,X16,X14,X4,X1,X17,X15,X5,X12,X13] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),X3),equivalent(equivalent(X1,X2),X3)),X4),X4),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X5,X6),equivalent(X5,X7)),X8),equivalent(equivalent(X6,X7),X8)),X9),X9)),equivalent(equivalent(equivalent(equivalent(equivalent(X10,X11),equivalent(X10,X12)),equivalent(X11,X12)),X13),X13)),equivalent(equivalent(equivalent(equivalent(X14,X15),X16),X17),equivalent(equivalent(equivalent(X14,X18),X16),equivalent(equivalent(X15,X18),X17))))),true,true,true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_332])]) ).

fof(f949,plain,
    ( ! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X14,X4,X16,X18,X17,X15,X5,X12,X13] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),X3),equivalent(equivalent(X1,X2),X3)),X4),X4),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X5,X6),equivalent(X5,X7)),X8),equivalent(equivalent(X6,X7),X8)),X9),X9)),equivalent(equivalent(equivalent(equivalent(equivalent(X10,X11),equivalent(X10,X12)),equivalent(X11,X12)),X13),X13)),equivalent(equivalent(equivalent(equivalent(X14,X15),X16),X17),equivalent(equivalent(equivalent(X14,X18),X16),equivalent(equivalent(X15,X18),X17))))),true,true,true)
    | ~ spl0_16
    | ~ spl0_91 ),
    inference(superposition,[],[f141,f907]) ).

fof(f4981,plain,
    ( spl0_331
    | ~ spl0_15
    | ~ spl0_90 ),
    inference(avatar_split_clause,[],[f947,f902,f136,f4979]) ).

fof(f4979,plain,
    ( spl0_331
  <=> ! [X7,X2,X3,X10,X0,X11,X18,X8,X6,X9,X16,X14,X4,X1,X17,X15,X5,X12,X13] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),X2),X3),equivalent(equivalent(equivalent(X0,X4),X2),equivalent(equivalent(X1,X4),X3))),equivalent(equivalent(equivalent(equivalent(equivalent(X5,X6),equivalent(X5,X7)),equivalent(X6,X7)),X8),X8)),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X9,X10),equivalent(X9,X11)),X12),equivalent(equivalent(X10,X11),X12)),X13),X13)),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X14,X15),equivalent(X14,X16)),X17),equivalent(equivalent(X15,X16),X17)),X18),X18))),true,true,true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_331])]) ).

fof(f902,plain,
    ( spl0_90
  <=> ! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X4,X5,X12,X13] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),X2),X3),equivalent(equivalent(equivalent(X0,X4),X2),equivalent(equivalent(X1,X4),X3))),equivalent(equivalent(equivalent(equivalent(equivalent(X5,X6),equivalent(X5,X7)),equivalent(X6,X7)),X8),X8)),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X9,X10),equivalent(X9,X11)),X12),equivalent(equivalent(X10,X11),X12)),X13),X13))),true,true,true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_90])]) ).

fof(f947,plain,
    ( ! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X14,X4,X16,X18,X17,X15,X5,X12,X13] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),X2),X3),equivalent(equivalent(equivalent(X0,X4),X2),equivalent(equivalent(X1,X4),X3))),equivalent(equivalent(equivalent(equivalent(equivalent(X5,X6),equivalent(X5,X7)),equivalent(X6,X7)),X8),X8)),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X9,X10),equivalent(X9,X11)),X12),equivalent(equivalent(X10,X11),X12)),X13),X13)),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X14,X15),equivalent(X14,X16)),X17),equivalent(equivalent(X15,X16),X17)),X18),X18))),true,true,true)
    | ~ spl0_15
    | ~ spl0_90 ),
    inference(superposition,[],[f137,f903]) ).

fof(f903,plain,
    ( ! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X4,X5,X12,X13] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),X2),X3),equivalent(equivalent(equivalent(X0,X4),X2),equivalent(equivalent(X1,X4),X3))),equivalent(equivalent(equivalent(equivalent(equivalent(X5,X6),equivalent(X5,X7)),equivalent(X6,X7)),X8),X8)),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X9,X10),equivalent(X9,X11)),X12),equivalent(equivalent(X10,X11),X12)),X13),X13))),true,true,true)
    | ~ spl0_90 ),
    inference(avatar_component_clause,[],[f902]) ).

fof(f4977,plain,
    ( spl0_330
    | ~ spl0_16
    | ~ spl0_90 ),
    inference(avatar_split_clause,[],[f946,f902,f140,f4975]) ).

fof(f4975,plain,
    ( spl0_330
  <=> ! [X7,X2,X3,X10,X0,X11,X18,X8,X6,X9,X16,X14,X4,X1,X17,X15,X5,X12,X13] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),X2),X3),equivalent(equivalent(equivalent(X0,X4),X2),equivalent(equivalent(X1,X4),X3))),equivalent(equivalent(equivalent(equivalent(equivalent(X5,X6),equivalent(X5,X7)),equivalent(X6,X7)),X8),X8)),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X9,X10),equivalent(X9,X11)),X12),equivalent(equivalent(X10,X11),X12)),X13),X13)),equivalent(equivalent(equivalent(equivalent(X14,X15),X16),X17),equivalent(equivalent(equivalent(X14,X18),X16),equivalent(equivalent(X15,X18),X17))))),true,true,true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_330])]) ).

fof(f946,plain,
    ( ! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X14,X4,X16,X18,X17,X15,X5,X12,X13] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),X2),X3),equivalent(equivalent(equivalent(X0,X4),X2),equivalent(equivalent(X1,X4),X3))),equivalent(equivalent(equivalent(equivalent(equivalent(X5,X6),equivalent(X5,X7)),equivalent(X6,X7)),X8),X8)),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X9,X10),equivalent(X9,X11)),X12),equivalent(equivalent(X10,X11),X12)),X13),X13)),equivalent(equivalent(equivalent(equivalent(X14,X15),X16),X17),equivalent(equivalent(equivalent(X14,X18),X16),equivalent(equivalent(X15,X18),X17))))),true,true,true)
    | ~ spl0_16
    | ~ spl0_90 ),
    inference(superposition,[],[f141,f903]) ).

fof(f4973,plain,
    ( spl0_329
    | ~ spl0_15
    | ~ spl0_89 ),
    inference(avatar_split_clause,[],[f944,f898,f136,f4971]) ).

fof(f4971,plain,
    ( spl0_329
  <=> ! [X7,X2,X3,X10,X0,X11,X18,X8,X6,X9,X16,X14,X4,X1,X17,X15,X5,X12,X13] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),X2),X3),equivalent(equivalent(equivalent(X0,X4),X2),equivalent(equivalent(X1,X4),X3))),equivalent(equivalent(equivalent(equivalent(equivalent(X5,X6),equivalent(X5,X7)),equivalent(X6,X7)),X8),X8)),equivalent(equivalent(equivalent(equivalent(X9,X10),X11),X12),equivalent(equivalent(equivalent(X9,X13),X11),equivalent(equivalent(X10,X13),X12)))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X14,X15),equivalent(X14,X16)),X17),equivalent(equivalent(X15,X16),X17)),X18),X18))),true,true,true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_329])]) ).

fof(f898,plain,
    ( spl0_89
  <=> ! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X4,X5,X12,X13] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),X2),X3),equivalent(equivalent(equivalent(X0,X4),X2),equivalent(equivalent(X1,X4),X3))),equivalent(equivalent(equivalent(equivalent(equivalent(X5,X6),equivalent(X5,X7)),equivalent(X6,X7)),X8),X8)),equivalent(equivalent(equivalent(equivalent(X9,X10),X11),X12),equivalent(equivalent(equivalent(X9,X13),X11),equivalent(equivalent(X10,X13),X12))))),true,true,true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_89])]) ).

fof(f944,plain,
    ( ! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X14,X4,X16,X18,X17,X15,X5,X12,X13] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),X2),X3),equivalent(equivalent(equivalent(X0,X4),X2),equivalent(equivalent(X1,X4),X3))),equivalent(equivalent(equivalent(equivalent(equivalent(X5,X6),equivalent(X5,X7)),equivalent(X6,X7)),X8),X8)),equivalent(equivalent(equivalent(equivalent(X9,X10),X11),X12),equivalent(equivalent(equivalent(X9,X13),X11),equivalent(equivalent(X10,X13),X12)))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X14,X15),equivalent(X14,X16)),X17),equivalent(equivalent(X15,X16),X17)),X18),X18))),true,true,true)
    | ~ spl0_15
    | ~ spl0_89 ),
    inference(superposition,[],[f137,f899]) ).

fof(f899,plain,
    ( ! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X4,X5,X12,X13] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),X2),X3),equivalent(equivalent(equivalent(X0,X4),X2),equivalent(equivalent(X1,X4),X3))),equivalent(equivalent(equivalent(equivalent(equivalent(X5,X6),equivalent(X5,X7)),equivalent(X6,X7)),X8),X8)),equivalent(equivalent(equivalent(equivalent(X9,X10),X11),X12),equivalent(equivalent(equivalent(X9,X13),X11),equivalent(equivalent(X10,X13),X12))))),true,true,true)
    | ~ spl0_89 ),
    inference(avatar_component_clause,[],[f898]) ).

fof(f4969,plain,
    ( spl0_328
    | ~ spl0_16
    | ~ spl0_89 ),
    inference(avatar_split_clause,[],[f943,f898,f140,f4967]) ).

fof(f4967,plain,
    ( spl0_328
  <=> ! [X7,X2,X3,X10,X0,X11,X18,X8,X6,X9,X16,X14,X4,X1,X17,X15,X5,X12,X13] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),X2),X3),equivalent(equivalent(equivalent(X0,X4),X2),equivalent(equivalent(X1,X4),X3))),equivalent(equivalent(equivalent(equivalent(equivalent(X5,X6),equivalent(X5,X7)),equivalent(X6,X7)),X8),X8)),equivalent(equivalent(equivalent(equivalent(X9,X10),X11),X12),equivalent(equivalent(equivalent(X9,X13),X11),equivalent(equivalent(X10,X13),X12)))),equivalent(equivalent(equivalent(equivalent(X14,X15),X16),X17),equivalent(equivalent(equivalent(X14,X18),X16),equivalent(equivalent(X15,X18),X17))))),true,true,true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_328])]) ).

fof(f943,plain,
    ( ! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X14,X4,X16,X18,X17,X15,X5,X12,X13] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),X2),X3),equivalent(equivalent(equivalent(X0,X4),X2),equivalent(equivalent(X1,X4),X3))),equivalent(equivalent(equivalent(equivalent(equivalent(X5,X6),equivalent(X5,X7)),equivalent(X6,X7)),X8),X8)),equivalent(equivalent(equivalent(equivalent(X9,X10),X11),X12),equivalent(equivalent(equivalent(X9,X13),X11),equivalent(equivalent(X10,X13),X12)))),equivalent(equivalent(equivalent(equivalent(X14,X15),X16),X17),equivalent(equivalent(equivalent(X14,X18),X16),equivalent(equivalent(X15,X18),X17))))),true,true,true)
    | ~ spl0_16
    | ~ spl0_89 ),
    inference(superposition,[],[f141,f899]) ).

fof(f4937,plain,
    ( spl0_327
    | ~ spl0_15
    | ~ spl0_88 ),
    inference(avatar_split_clause,[],[f941,f894,f136,f4935]) ).

fof(f4935,plain,
    ( spl0_327
  <=> ! [X7,X2,X3,X10,X0,X11,X18,X8,X6,X9,X16,X14,X4,X1,X17,X15,X5,X12,X13] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),X3),equivalent(equivalent(X1,X2),X3)),X4),X4),equivalent(equivalent(equivalent(equivalent(equivalent(X5,X6),equivalent(X5,X7)),equivalent(X6,X7)),X8),X8)),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X9,X10),equivalent(X9,X11)),X12),equivalent(equivalent(X10,X11),X12)),X13),X13)),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X14,X15),equivalent(X14,X16)),X17),equivalent(equivalent(X15,X16),X17)),X18),X18))),true,true,true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_327])]) ).

fof(f894,plain,
    ( spl0_88
  <=> ! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X4,X5,X12,X13] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),X3),equivalent(equivalent(X1,X2),X3)),X4),X4),equivalent(equivalent(equivalent(equivalent(equivalent(X5,X6),equivalent(X5,X7)),equivalent(X6,X7)),X8),X8)),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X9,X10),equivalent(X9,X11)),X12),equivalent(equivalent(X10,X11),X12)),X13),X13))),true,true,true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_88])]) ).

fof(f941,plain,
    ( ! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X14,X4,X16,X18,X17,X15,X5,X12,X13] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),X3),equivalent(equivalent(X1,X2),X3)),X4),X4),equivalent(equivalent(equivalent(equivalent(equivalent(X5,X6),equivalent(X5,X7)),equivalent(X6,X7)),X8),X8)),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X9,X10),equivalent(X9,X11)),X12),equivalent(equivalent(X10,X11),X12)),X13),X13)),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X14,X15),equivalent(X14,X16)),X17),equivalent(equivalent(X15,X16),X17)),X18),X18))),true,true,true)
    | ~ spl0_15
    | ~ spl0_88 ),
    inference(superposition,[],[f137,f895]) ).

fof(f895,plain,
    ( ! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X4,X5,X12,X13] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),X3),equivalent(equivalent(X1,X2),X3)),X4),X4),equivalent(equivalent(equivalent(equivalent(equivalent(X5,X6),equivalent(X5,X7)),equivalent(X6,X7)),X8),X8)),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X9,X10),equivalent(X9,X11)),X12),equivalent(equivalent(X10,X11),X12)),X13),X13))),true,true,true)
    | ~ spl0_88 ),
    inference(avatar_component_clause,[],[f894]) ).

fof(f4933,plain,
    ( spl0_326
    | ~ spl0_16
    | ~ spl0_88 ),
    inference(avatar_split_clause,[],[f940,f894,f140,f4931]) ).

fof(f4931,plain,
    ( spl0_326
  <=> ! [X7,X2,X3,X10,X0,X11,X18,X8,X6,X9,X16,X14,X4,X1,X17,X15,X5,X12,X13] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),X3),equivalent(equivalent(X1,X2),X3)),X4),X4),equivalent(equivalent(equivalent(equivalent(equivalent(X5,X6),equivalent(X5,X7)),equivalent(X6,X7)),X8),X8)),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X9,X10),equivalent(X9,X11)),X12),equivalent(equivalent(X10,X11),X12)),X13),X13)),equivalent(equivalent(equivalent(equivalent(X14,X15),X16),X17),equivalent(equivalent(equivalent(X14,X18),X16),equivalent(equivalent(X15,X18),X17))))),true,true,true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_326])]) ).

fof(f940,plain,
    ( ! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X14,X4,X16,X18,X17,X15,X5,X12,X13] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),X3),equivalent(equivalent(X1,X2),X3)),X4),X4),equivalent(equivalent(equivalent(equivalent(equivalent(X5,X6),equivalent(X5,X7)),equivalent(X6,X7)),X8),X8)),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X9,X10),equivalent(X9,X11)),X12),equivalent(equivalent(X10,X11),X12)),X13),X13)),equivalent(equivalent(equivalent(equivalent(X14,X15),X16),X17),equivalent(equivalent(equivalent(X14,X18),X16),equivalent(equivalent(X15,X18),X17))))),true,true,true)
    | ~ spl0_16
    | ~ spl0_88 ),
    inference(superposition,[],[f141,f895]) ).

fof(f4929,plain,
    ( spl0_325
    | ~ spl0_15
    | ~ spl0_87 ),
    inference(avatar_split_clause,[],[f938,f890,f136,f4927]) ).

fof(f4927,plain,
    ( spl0_325
  <=> ! [X7,X2,X3,X10,X0,X11,X18,X8,X6,X9,X16,X14,X4,X1,X17,X15,X5,X12,X13] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),X3),equivalent(equivalent(X1,X2),X3)),X4),X4),equivalent(equivalent(equivalent(equivalent(equivalent(X5,X6),equivalent(X5,X7)),equivalent(X6,X7)),X8),X8)),equivalent(equivalent(equivalent(equivalent(X9,X10),X11),X12),equivalent(equivalent(equivalent(X9,X13),X11),equivalent(equivalent(X10,X13),X12)))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X14,X15),equivalent(X14,X16)),X17),equivalent(equivalent(X15,X16),X17)),X18),X18))),true,true,true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_325])]) ).

fof(f890,plain,
    ( spl0_87
  <=> ! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X4,X5,X12,X13] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),X3),equivalent(equivalent(X1,X2),X3)),X4),X4),equivalent(equivalent(equivalent(equivalent(equivalent(X5,X6),equivalent(X5,X7)),equivalent(X6,X7)),X8),X8)),equivalent(equivalent(equivalent(equivalent(X9,X10),X11),X12),equivalent(equivalent(equivalent(X9,X13),X11),equivalent(equivalent(X10,X13),X12))))),true,true,true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_87])]) ).

fof(f938,plain,
    ( ! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X14,X4,X16,X18,X17,X15,X5,X12,X13] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),X3),equivalent(equivalent(X1,X2),X3)),X4),X4),equivalent(equivalent(equivalent(equivalent(equivalent(X5,X6),equivalent(X5,X7)),equivalent(X6,X7)),X8),X8)),equivalent(equivalent(equivalent(equivalent(X9,X10),X11),X12),equivalent(equivalent(equivalent(X9,X13),X11),equivalent(equivalent(X10,X13),X12)))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X14,X15),equivalent(X14,X16)),X17),equivalent(equivalent(X15,X16),X17)),X18),X18))),true,true,true)
    | ~ spl0_15
    | ~ spl0_87 ),
    inference(superposition,[],[f137,f891]) ).

fof(f891,plain,
    ( ! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X4,X5,X12,X13] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),X3),equivalent(equivalent(X1,X2),X3)),X4),X4),equivalent(equivalent(equivalent(equivalent(equivalent(X5,X6),equivalent(X5,X7)),equivalent(X6,X7)),X8),X8)),equivalent(equivalent(equivalent(equivalent(X9,X10),X11),X12),equivalent(equivalent(equivalent(X9,X13),X11),equivalent(equivalent(X10,X13),X12))))),true,true,true)
    | ~ spl0_87 ),
    inference(avatar_component_clause,[],[f890]) ).

fof(f4925,plain,
    ( spl0_324
    | ~ spl0_16
    | ~ spl0_87 ),
    inference(avatar_split_clause,[],[f937,f890,f140,f4923]) ).

fof(f4923,plain,
    ( spl0_324
  <=> ! [X7,X2,X3,X10,X0,X11,X18,X8,X6,X9,X16,X14,X4,X1,X17,X15,X5,X12,X13] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),X3),equivalent(equivalent(X1,X2),X3)),X4),X4),equivalent(equivalent(equivalent(equivalent(equivalent(X5,X6),equivalent(X5,X7)),equivalent(X6,X7)),X8),X8)),equivalent(equivalent(equivalent(equivalent(X9,X10),X11),X12),equivalent(equivalent(equivalent(X9,X13),X11),equivalent(equivalent(X10,X13),X12)))),equivalent(equivalent(equivalent(equivalent(X14,X15),X16),X17),equivalent(equivalent(equivalent(X14,X18),X16),equivalent(equivalent(X15,X18),X17))))),true,true,true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_324])]) ).

fof(f937,plain,
    ( ! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X14,X4,X16,X18,X17,X15,X5,X12,X13] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),X3),equivalent(equivalent(X1,X2),X3)),X4),X4),equivalent(equivalent(equivalent(equivalent(equivalent(X5,X6),equivalent(X5,X7)),equivalent(X6,X7)),X8),X8)),equivalent(equivalent(equivalent(equivalent(X9,X10),X11),X12),equivalent(equivalent(equivalent(X9,X13),X11),equivalent(equivalent(X10,X13),X12)))),equivalent(equivalent(equivalent(equivalent(X14,X15),X16),X17),equivalent(equivalent(equivalent(X14,X18),X16),equivalent(equivalent(X15,X18),X17))))),true,true,true)
    | ~ spl0_16
    | ~ spl0_87 ),
    inference(superposition,[],[f141,f891]) ).

fof(f4921,plain,
    ( spl0_323
    | ~ spl0_15
    | ~ spl0_86 ),
    inference(avatar_split_clause,[],[f935,f886,f136,f4919]) ).

fof(f4919,plain,
    ( spl0_323
  <=> ! [X7,X2,X3,X10,X0,X11,X18,X8,X6,X9,X16,X14,X4,X1,X17,X15,X5,X12,X13] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),equivalent(X1,X2)),X3),X3),equivalent(equivalent(equivalent(equivalent(X4,X5),X6),X7),equivalent(equivalent(equivalent(X4,X8),X6),equivalent(equivalent(X5,X8),X7)))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X9,X10),equivalent(X9,X11)),X12),equivalent(equivalent(X10,X11),X12)),X13),X13)),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X14,X15),equivalent(X14,X16)),X17),equivalent(equivalent(X15,X16),X17)),X18),X18))),true,true,true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_323])]) ).

fof(f886,plain,
    ( spl0_86
  <=> ! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X4,X5,X12,X13] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),equivalent(X1,X2)),X3),X3),equivalent(equivalent(equivalent(equivalent(X4,X5),X6),X7),equivalent(equivalent(equivalent(X4,X8),X6),equivalent(equivalent(X5,X8),X7)))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X9,X10),equivalent(X9,X11)),X12),equivalent(equivalent(X10,X11),X12)),X13),X13))),true,true,true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_86])]) ).

fof(f935,plain,
    ( ! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X14,X4,X16,X18,X17,X15,X5,X12,X13] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),equivalent(X1,X2)),X3),X3),equivalent(equivalent(equivalent(equivalent(X4,X5),X6),X7),equivalent(equivalent(equivalent(X4,X8),X6),equivalent(equivalent(X5,X8),X7)))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X9,X10),equivalent(X9,X11)),X12),equivalent(equivalent(X10,X11),X12)),X13),X13)),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X14,X15),equivalent(X14,X16)),X17),equivalent(equivalent(X15,X16),X17)),X18),X18))),true,true,true)
    | ~ spl0_15
    | ~ spl0_86 ),
    inference(superposition,[],[f137,f887]) ).

fof(f887,plain,
    ( ! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X4,X5,X12,X13] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),equivalent(X1,X2)),X3),X3),equivalent(equivalent(equivalent(equivalent(X4,X5),X6),X7),equivalent(equivalent(equivalent(X4,X8),X6),equivalent(equivalent(X5,X8),X7)))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X9,X10),equivalent(X9,X11)),X12),equivalent(equivalent(X10,X11),X12)),X13),X13))),true,true,true)
    | ~ spl0_86 ),
    inference(avatar_component_clause,[],[f886]) ).

fof(f4917,plain,
    ( spl0_322
    | ~ spl0_16
    | ~ spl0_86 ),
    inference(avatar_split_clause,[],[f934,f886,f140,f4915]) ).

fof(f4915,plain,
    ( spl0_322
  <=> ! [X7,X2,X3,X10,X0,X11,X18,X8,X6,X9,X16,X14,X4,X1,X17,X15,X5,X12,X13] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),equivalent(X1,X2)),X3),X3),equivalent(equivalent(equivalent(equivalent(X4,X5),X6),X7),equivalent(equivalent(equivalent(X4,X8),X6),equivalent(equivalent(X5,X8),X7)))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X9,X10),equivalent(X9,X11)),X12),equivalent(equivalent(X10,X11),X12)),X13),X13)),equivalent(equivalent(equivalent(equivalent(X14,X15),X16),X17),equivalent(equivalent(equivalent(X14,X18),X16),equivalent(equivalent(X15,X18),X17))))),true,true,true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_322])]) ).

fof(f934,plain,
    ( ! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X14,X4,X16,X18,X17,X15,X5,X12,X13] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),equivalent(X1,X2)),X3),X3),equivalent(equivalent(equivalent(equivalent(X4,X5),X6),X7),equivalent(equivalent(equivalent(X4,X8),X6),equivalent(equivalent(X5,X8),X7)))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X9,X10),equivalent(X9,X11)),X12),equivalent(equivalent(X10,X11),X12)),X13),X13)),equivalent(equivalent(equivalent(equivalent(X14,X15),X16),X17),equivalent(equivalent(equivalent(X14,X18),X16),equivalent(equivalent(X15,X18),X17))))),true,true,true)
    | ~ spl0_16
    | ~ spl0_86 ),
    inference(superposition,[],[f141,f887]) ).

fof(f4913,plain,
    ( spl0_321
    | ~ spl0_15
    | ~ spl0_84 ),
    inference(avatar_split_clause,[],[f932,f878,f136,f4911]) ).

fof(f4911,plain,
    ( spl0_321
  <=> ! [X7,X2,X3,X10,X0,X11,X18,X8,X6,X9,X16,X14,X4,X1,X17,X15,X5,X12,X13] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),equivalent(X1,X2)),X3),X3),equivalent(equivalent(equivalent(equivalent(X4,X5),X6),X7),equivalent(equivalent(equivalent(X4,X8),X6),equivalent(equivalent(X5,X8),X7)))),equivalent(equivalent(equivalent(equivalent(X9,X10),X11),X12),equivalent(equivalent(equivalent(X9,X13),X11),equivalent(equivalent(X10,X13),X12)))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X14,X15),equivalent(X14,X16)),X17),equivalent(equivalent(X15,X16),X17)),X18),X18))),true,true,true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_321])]) ).

fof(f878,plain,
    ( spl0_84
  <=> ! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X4,X5,X12,X13] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),equivalent(X1,X2)),X3),X3),equivalent(equivalent(equivalent(equivalent(X4,X5),X6),X7),equivalent(equivalent(equivalent(X4,X8),X6),equivalent(equivalent(X5,X8),X7)))),equivalent(equivalent(equivalent(equivalent(X9,X10),X11),X12),equivalent(equivalent(equivalent(X9,X13),X11),equivalent(equivalent(X10,X13),X12))))),true,true,true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_84])]) ).

fof(f932,plain,
    ( ! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X14,X4,X16,X18,X17,X15,X5,X12,X13] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),equivalent(X1,X2)),X3),X3),equivalent(equivalent(equivalent(equivalent(X4,X5),X6),X7),equivalent(equivalent(equivalent(X4,X8),X6),equivalent(equivalent(X5,X8),X7)))),equivalent(equivalent(equivalent(equivalent(X9,X10),X11),X12),equivalent(equivalent(equivalent(X9,X13),X11),equivalent(equivalent(X10,X13),X12)))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X14,X15),equivalent(X14,X16)),X17),equivalent(equivalent(X15,X16),X17)),X18),X18))),true,true,true)
    | ~ spl0_15
    | ~ spl0_84 ),
    inference(superposition,[],[f137,f879]) ).

fof(f879,plain,
    ( ! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X4,X5,X12,X13] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),equivalent(X1,X2)),X3),X3),equivalent(equivalent(equivalent(equivalent(X4,X5),X6),X7),equivalent(equivalent(equivalent(X4,X8),X6),equivalent(equivalent(X5,X8),X7)))),equivalent(equivalent(equivalent(equivalent(X9,X10),X11),X12),equivalent(equivalent(equivalent(X9,X13),X11),equivalent(equivalent(X10,X13),X12))))),true,true,true)
    | ~ spl0_84 ),
    inference(avatar_component_clause,[],[f878]) ).

fof(f4909,plain,
    ( spl0_320
    | ~ spl0_16
    | ~ spl0_84 ),
    inference(avatar_split_clause,[],[f931,f878,f140,f4907]) ).

fof(f4907,plain,
    ( spl0_320
  <=> ! [X7,X2,X3,X10,X0,X11,X18,X8,X6,X9,X16,X14,X4,X1,X17,X15,X5,X12,X13] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),equivalent(X1,X2)),X3),X3),equivalent(equivalent(equivalent(equivalent(X4,X5),X6),X7),equivalent(equivalent(equivalent(X4,X8),X6),equivalent(equivalent(X5,X8),X7)))),equivalent(equivalent(equivalent(equivalent(X9,X10),X11),X12),equivalent(equivalent(equivalent(X9,X13),X11),equivalent(equivalent(X10,X13),X12)))),equivalent(equivalent(equivalent(equivalent(X14,X15),X16),X17),equivalent(equivalent(equivalent(X14,X18),X16),equivalent(equivalent(X15,X18),X17))))),true,true,true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_320])]) ).

fof(f931,plain,
    ( ! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X14,X4,X16,X18,X17,X15,X5,X12,X13] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),equivalent(X1,X2)),X3),X3),equivalent(equivalent(equivalent(equivalent(X4,X5),X6),X7),equivalent(equivalent(equivalent(X4,X8),X6),equivalent(equivalent(X5,X8),X7)))),equivalent(equivalent(equivalent(equivalent(X9,X10),X11),X12),equivalent(equivalent(equivalent(X9,X13),X11),equivalent(equivalent(X10,X13),X12)))),equivalent(equivalent(equivalent(equivalent(X14,X15),X16),X17),equivalent(equivalent(equivalent(X14,X18),X16),equivalent(equivalent(X15,X18),X17))))),true,true,true)
    | ~ spl0_16
    | ~ spl0_84 ),
    inference(superposition,[],[f141,f879]) ).

fof(f4905,plain,
    ( spl0_319
    | ~ spl0_15
    | ~ spl0_83 ),
    inference(avatar_split_clause,[],[f929,f874,f136,f4903]) ).

fof(f4903,plain,
    ( spl0_319
  <=> ! [X7,X2,X3,X10,X0,X11,X18,X8,X6,X9,X16,X14,X4,X1,X17,X15,X5,X12,X13] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),equivalent(X1,X2)),X3),X3),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X4,X5),equivalent(X4,X6)),X7),equivalent(equivalent(X5,X6),X7)),X8),X8)),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X9,X10),equivalent(X9,X11)),X12),equivalent(equivalent(X10,X11),X12)),X13),X13)),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X14,X15),equivalent(X14,X16)),X17),equivalent(equivalent(X15,X16),X17)),X18),X18))),true,true,true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_319])]) ).

fof(f874,plain,
    ( spl0_83
  <=> ! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X4,X5,X12,X13] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),equivalent(X1,X2)),X3),X3),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X4,X5),equivalent(X4,X6)),X7),equivalent(equivalent(X5,X6),X7)),X8),X8)),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X9,X10),equivalent(X9,X11)),X12),equivalent(equivalent(X10,X11),X12)),X13),X13))),true,true,true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_83])]) ).

fof(f929,plain,
    ( ! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X14,X4,X16,X18,X17,X15,X5,X12,X13] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),equivalent(X1,X2)),X3),X3),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X4,X5),equivalent(X4,X6)),X7),equivalent(equivalent(X5,X6),X7)),X8),X8)),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X9,X10),equivalent(X9,X11)),X12),equivalent(equivalent(X10,X11),X12)),X13),X13)),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X14,X15),equivalent(X14,X16)),X17),equivalent(equivalent(X15,X16),X17)),X18),X18))),true,true,true)
    | ~ spl0_15
    | ~ spl0_83 ),
    inference(superposition,[],[f137,f875]) ).

fof(f875,plain,
    ( ! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X4,X5,X12,X13] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),equivalent(X1,X2)),X3),X3),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X4,X5),equivalent(X4,X6)),X7),equivalent(equivalent(X5,X6),X7)),X8),X8)),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X9,X10),equivalent(X9,X11)),X12),equivalent(equivalent(X10,X11),X12)),X13),X13))),true,true,true)
    | ~ spl0_83 ),
    inference(avatar_component_clause,[],[f874]) ).

fof(f4901,plain,
    ( spl0_318
    | ~ spl0_16
    | ~ spl0_83 ),
    inference(avatar_split_clause,[],[f928,f874,f140,f4899]) ).

fof(f4899,plain,
    ( spl0_318
  <=> ! [X7,X2,X3,X10,X0,X11,X18,X8,X6,X9,X16,X14,X4,X1,X17,X15,X5,X12,X13] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),equivalent(X1,X2)),X3),X3),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X4,X5),equivalent(X4,X6)),X7),equivalent(equivalent(X5,X6),X7)),X8),X8)),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X9,X10),equivalent(X9,X11)),X12),equivalent(equivalent(X10,X11),X12)),X13),X13)),equivalent(equivalent(equivalent(equivalent(X14,X15),X16),X17),equivalent(equivalent(equivalent(X14,X18),X16),equivalent(equivalent(X15,X18),X17))))),true,true,true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_318])]) ).

fof(f928,plain,
    ( ! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X14,X4,X16,X18,X17,X15,X5,X12,X13] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),equivalent(X1,X2)),X3),X3),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X4,X5),equivalent(X4,X6)),X7),equivalent(equivalent(X5,X6),X7)),X8),X8)),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X9,X10),equivalent(X9,X11)),X12),equivalent(equivalent(X10,X11),X12)),X13),X13)),equivalent(equivalent(equivalent(equivalent(X14,X15),X16),X17),equivalent(equivalent(equivalent(X14,X18),X16),equivalent(equivalent(X15,X18),X17))))),true,true,true)
    | ~ spl0_16
    | ~ spl0_83 ),
    inference(superposition,[],[f141,f875]) ).

fof(f4858,plain,
    ( spl0_317
    | ~ spl0_15
    | ~ spl0_82 ),
    inference(avatar_split_clause,[],[f922,f870,f136,f4856]) ).

fof(f4856,plain,
    ( spl0_317
  <=> ! [X7,X2,X3,X10,X0,X11,X18,X8,X6,X9,X16,X14,X4,X1,X17,X15,X5,X12,X13] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),equivalent(X1,X2)),X3),X3),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X4,X5),equivalent(X4,X6)),X7),equivalent(equivalent(X5,X6),X7)),X8),X8)),equivalent(equivalent(equivalent(equivalent(X9,X10),X11),X12),equivalent(equivalent(equivalent(X9,X13),X11),equivalent(equivalent(X10,X13),X12)))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X14,X15),equivalent(X14,X16)),X17),equivalent(equivalent(X15,X16),X17)),X18),X18))),true,true,true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_317])]) ).

fof(f870,plain,
    ( spl0_82
  <=> ! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X4,X5,X12,X13] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),equivalent(X1,X2)),X3),X3),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X4,X5),equivalent(X4,X6)),X7),equivalent(equivalent(X5,X6),X7)),X8),X8)),equivalent(equivalent(equivalent(equivalent(X9,X10),X11),X12),equivalent(equivalent(equivalent(X9,X13),X11),equivalent(equivalent(X10,X13),X12))))),true,true,true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_82])]) ).

fof(f922,plain,
    ( ! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X14,X4,X16,X18,X17,X15,X5,X12,X13] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),equivalent(X1,X2)),X3),X3),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X4,X5),equivalent(X4,X6)),X7),equivalent(equivalent(X5,X6),X7)),X8),X8)),equivalent(equivalent(equivalent(equivalent(X9,X10),X11),X12),equivalent(equivalent(equivalent(X9,X13),X11),equivalent(equivalent(X10,X13),X12)))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X14,X15),equivalent(X14,X16)),X17),equivalent(equivalent(X15,X16),X17)),X18),X18))),true,true,true)
    | ~ spl0_15
    | ~ spl0_82 ),
    inference(superposition,[],[f137,f871]) ).

fof(f871,plain,
    ( ! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X4,X5,X12,X13] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),equivalent(X1,X2)),X3),X3),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X4,X5),equivalent(X4,X6)),X7),equivalent(equivalent(X5,X6),X7)),X8),X8)),equivalent(equivalent(equivalent(equivalent(X9,X10),X11),X12),equivalent(equivalent(equivalent(X9,X13),X11),equivalent(equivalent(X10,X13),X12))))),true,true,true)
    | ~ spl0_82 ),
    inference(avatar_component_clause,[],[f870]) ).

fof(f4854,plain,
    ( spl0_316
    | ~ spl0_16
    | ~ spl0_82 ),
    inference(avatar_split_clause,[],[f921,f870,f140,f4852]) ).

fof(f4852,plain,
    ( spl0_316
  <=> ! [X7,X2,X3,X10,X0,X11,X18,X8,X6,X9,X16,X14,X4,X1,X17,X15,X5,X12,X13] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),equivalent(X1,X2)),X3),X3),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X4,X5),equivalent(X4,X6)),X7),equivalent(equivalent(X5,X6),X7)),X8),X8)),equivalent(equivalent(equivalent(equivalent(X9,X10),X11),X12),equivalent(equivalent(equivalent(X9,X13),X11),equivalent(equivalent(X10,X13),X12)))),equivalent(equivalent(equivalent(equivalent(X14,X15),X16),X17),equivalent(equivalent(equivalent(X14,X18),X16),equivalent(equivalent(X15,X18),X17))))),true,true,true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_316])]) ).

fof(f921,plain,
    ( ! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X14,X4,X16,X18,X17,X15,X5,X12,X13] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),equivalent(X1,X2)),X3),X3),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X4,X5),equivalent(X4,X6)),X7),equivalent(equivalent(X5,X6),X7)),X8),X8)),equivalent(equivalent(equivalent(equivalent(X9,X10),X11),X12),equivalent(equivalent(equivalent(X9,X13),X11),equivalent(equivalent(X10,X13),X12)))),equivalent(equivalent(equivalent(equivalent(X14,X15),X16),X17),equivalent(equivalent(equivalent(X14,X18),X16),equivalent(equivalent(X15,X18),X17))))),true,true,true)
    | ~ spl0_16
    | ~ spl0_82 ),
    inference(superposition,[],[f141,f871]) ).

fof(f4771,plain,
    ( spl0_315
    | ~ spl0_2
    | ~ spl0_286 ),
    inference(avatar_split_clause,[],[f4634,f4144,f13,f4769]) ).

fof(f4769,plain,
    ( spl0_315
  <=> ! [X0,X1] : true = ifeq(is_a_theorem(X0),true,is_a_theorem(equivalent(equivalent(X1,X1),X0)),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_315])]) ).

fof(f4144,plain,
    ( spl0_286
  <=> ! [X0,X1] : true = ifeq(true,true,ifeq(is_a_theorem(X0),true,is_a_theorem(equivalent(equivalent(X1,X1),X0)),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_286])]) ).

fof(f4634,plain,
    ( ! [X0,X1] : true = ifeq(is_a_theorem(X0),true,is_a_theorem(equivalent(equivalent(X1,X1),X0)),true)
    | ~ spl0_2
    | ~ spl0_286 ),
    inference(superposition,[],[f4145,f14]) ).

fof(f4145,plain,
    ( ! [X0,X1] : true = ifeq(true,true,ifeq(is_a_theorem(X0),true,is_a_theorem(equivalent(equivalent(X1,X1),X0)),true),true)
    | ~ spl0_286 ),
    inference(avatar_component_clause,[],[f4144]) ).

fof(f4540,plain,
    ( spl0_314
    | ~ spl0_9
    | ~ spl0_94 ),
    inference(avatar_split_clause,[],[f964,f918,f66,f4538]) ).

fof(f4538,plain,
    ( spl0_314
  <=> ! [X7,X2,X3,X10,X0,X11,X1,X8,X6,X9,X16,X14,X4,X17,X15,X5,X12,X13] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),X2),X3),equivalent(equivalent(equivalent(X0,X4),X2),equivalent(equivalent(X1,X4),X3))),equivalent(equivalent(equivalent(equivalent(X5,X6),X7),X8),equivalent(equivalent(equivalent(X5,X9),X7),equivalent(equivalent(X6,X9),X8)))),equivalent(equivalent(equivalent(equivalent(equivalent(X10,X11),equivalent(X10,X12)),equivalent(X11,X12)),X13),X13)),equivalent(equivalent(equivalent(equivalent(equivalent(X14,X15),equivalent(X14,X16)),equivalent(X15,X16)),X17),X17))),true,true,true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_314])]) ).

fof(f964,plain,
    ( ! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X14,X4,X16,X17,X15,X5,X12,X13] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),X2),X3),equivalent(equivalent(equivalent(X0,X4),X2),equivalent(equivalent(X1,X4),X3))),equivalent(equivalent(equivalent(equivalent(X5,X6),X7),X8),equivalent(equivalent(equivalent(X5,X9),X7),equivalent(equivalent(X6,X9),X8)))),equivalent(equivalent(equivalent(equivalent(equivalent(X10,X11),equivalent(X10,X12)),equivalent(X11,X12)),X13),X13)),equivalent(equivalent(equivalent(equivalent(equivalent(X14,X15),equivalent(X14,X16)),equivalent(X15,X16)),X17),X17))),true,true,true)
    | ~ spl0_9
    | ~ spl0_94 ),
    inference(superposition,[],[f67,f919]) ).

fof(f4536,plain,
    ( spl0_313
    | ~ spl0_9
    | ~ spl0_93 ),
    inference(avatar_split_clause,[],[f957,f914,f66,f4534]) ).

fof(f4534,plain,
    ( spl0_313
  <=> ! [X7,X2,X3,X10,X0,X11,X1,X8,X6,X9,X16,X14,X4,X17,X15,X5,X12,X13] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),X2),X3),equivalent(equivalent(equivalent(X0,X4),X2),equivalent(equivalent(X1,X4),X3))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X5,X6),equivalent(X5,X7)),X8),equivalent(equivalent(X6,X7),X8)),X9),X9)),equivalent(equivalent(equivalent(equivalent(equivalent(X10,X11),equivalent(X10,X12)),equivalent(X11,X12)),X13),X13)),equivalent(equivalent(equivalent(equivalent(equivalent(X14,X15),equivalent(X14,X16)),equivalent(X15,X16)),X17),X17))),true,true,true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_313])]) ).

fof(f957,plain,
    ( ! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X14,X4,X16,X17,X15,X5,X12,X13] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),X2),X3),equivalent(equivalent(equivalent(X0,X4),X2),equivalent(equivalent(X1,X4),X3))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X5,X6),equivalent(X5,X7)),X8),equivalent(equivalent(X6,X7),X8)),X9),X9)),equivalent(equivalent(equivalent(equivalent(equivalent(X10,X11),equivalent(X10,X12)),equivalent(X11,X12)),X13),X13)),equivalent(equivalent(equivalent(equivalent(equivalent(X14,X15),equivalent(X14,X16)),equivalent(X15,X16)),X17),X17))),true,true,true)
    | ~ spl0_9
    | ~ spl0_93 ),
    inference(superposition,[],[f67,f915]) ).

fof(f4532,plain,
    ( spl0_312
    | ~ spl0_9
    | ~ spl0_92 ),
    inference(avatar_split_clause,[],[f954,f910,f66,f4530]) ).

fof(f4530,plain,
    ( spl0_312
  <=> ! [X7,X2,X3,X10,X0,X11,X1,X8,X6,X9,X16,X14,X4,X17,X15,X5,X12,X13] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),X3),equivalent(equivalent(X1,X2),X3)),X4),X4),equivalent(equivalent(equivalent(equivalent(X5,X6),X7),X8),equivalent(equivalent(equivalent(X5,X9),X7),equivalent(equivalent(X6,X9),X8)))),equivalent(equivalent(equivalent(equivalent(equivalent(X10,X11),equivalent(X10,X12)),equivalent(X11,X12)),X13),X13)),equivalent(equivalent(equivalent(equivalent(equivalent(X14,X15),equivalent(X14,X16)),equivalent(X15,X16)),X17),X17))),true,true,true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_312])]) ).

fof(f954,plain,
    ( ! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X14,X4,X16,X17,X15,X5,X12,X13] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),X3),equivalent(equivalent(X1,X2),X3)),X4),X4),equivalent(equivalent(equivalent(equivalent(X5,X6),X7),X8),equivalent(equivalent(equivalent(X5,X9),X7),equivalent(equivalent(X6,X9),X8)))),equivalent(equivalent(equivalent(equivalent(equivalent(X10,X11),equivalent(X10,X12)),equivalent(X11,X12)),X13),X13)),equivalent(equivalent(equivalent(equivalent(equivalent(X14,X15),equivalent(X14,X16)),equivalent(X15,X16)),X17),X17))),true,true,true)
    | ~ spl0_9
    | ~ spl0_92 ),
    inference(superposition,[],[f67,f911]) ).

fof(f4528,plain,
    ( spl0_311
    | ~ spl0_9
    | ~ spl0_91 ),
    inference(avatar_split_clause,[],[f951,f906,f66,f4526]) ).

fof(f4526,plain,
    ( spl0_311
  <=> ! [X7,X2,X3,X10,X0,X11,X1,X8,X6,X9,X16,X14,X4,X17,X15,X5,X12,X13] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),X3),equivalent(equivalent(X1,X2),X3)),X4),X4),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X5,X6),equivalent(X5,X7)),X8),equivalent(equivalent(X6,X7),X8)),X9),X9)),equivalent(equivalent(equivalent(equivalent(equivalent(X10,X11),equivalent(X10,X12)),equivalent(X11,X12)),X13),X13)),equivalent(equivalent(equivalent(equivalent(equivalent(X14,X15),equivalent(X14,X16)),equivalent(X15,X16)),X17),X17))),true,true,true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_311])]) ).

fof(f951,plain,
    ( ! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X14,X4,X16,X17,X15,X5,X12,X13] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),X3),equivalent(equivalent(X1,X2),X3)),X4),X4),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X5,X6),equivalent(X5,X7)),X8),equivalent(equivalent(X6,X7),X8)),X9),X9)),equivalent(equivalent(equivalent(equivalent(equivalent(X10,X11),equivalent(X10,X12)),equivalent(X11,X12)),X13),X13)),equivalent(equivalent(equivalent(equivalent(equivalent(X14,X15),equivalent(X14,X16)),equivalent(X15,X16)),X17),X17))),true,true,true)
    | ~ spl0_9
    | ~ spl0_91 ),
    inference(superposition,[],[f67,f907]) ).

fof(f4308,plain,
    ( spl0_310
    | ~ spl0_9
    | ~ spl0_90 ),
    inference(avatar_split_clause,[],[f948,f902,f66,f4306]) ).

fof(f4306,plain,
    ( spl0_310
  <=> ! [X7,X2,X3,X10,X0,X11,X1,X8,X6,X9,X16,X14,X4,X17,X15,X5,X12,X13] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),X2),X3),equivalent(equivalent(equivalent(X0,X4),X2),equivalent(equivalent(X1,X4),X3))),equivalent(equivalent(equivalent(equivalent(equivalent(X5,X6),equivalent(X5,X7)),equivalent(X6,X7)),X8),X8)),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X9,X10),equivalent(X9,X11)),X12),equivalent(equivalent(X10,X11),X12)),X13),X13)),equivalent(equivalent(equivalent(equivalent(equivalent(X14,X15),equivalent(X14,X16)),equivalent(X15,X16)),X17),X17))),true,true,true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_310])]) ).

fof(f948,plain,
    ( ! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X14,X4,X16,X17,X15,X5,X12,X13] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),X2),X3),equivalent(equivalent(equivalent(X0,X4),X2),equivalent(equivalent(X1,X4),X3))),equivalent(equivalent(equivalent(equivalent(equivalent(X5,X6),equivalent(X5,X7)),equivalent(X6,X7)),X8),X8)),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X9,X10),equivalent(X9,X11)),X12),equivalent(equivalent(X10,X11),X12)),X13),X13)),equivalent(equivalent(equivalent(equivalent(equivalent(X14,X15),equivalent(X14,X16)),equivalent(X15,X16)),X17),X17))),true,true,true)
    | ~ spl0_9
    | ~ spl0_90 ),
    inference(superposition,[],[f67,f903]) ).

fof(f4304,plain,
    ( spl0_309
    | ~ spl0_9
    | ~ spl0_89 ),
    inference(avatar_split_clause,[],[f945,f898,f66,f4302]) ).

fof(f4302,plain,
    ( spl0_309
  <=> ! [X7,X2,X3,X10,X0,X11,X1,X8,X6,X9,X16,X14,X4,X17,X15,X5,X12,X13] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),X2),X3),equivalent(equivalent(equivalent(X0,X4),X2),equivalent(equivalent(X1,X4),X3))),equivalent(equivalent(equivalent(equivalent(equivalent(X5,X6),equivalent(X5,X7)),equivalent(X6,X7)),X8),X8)),equivalent(equivalent(equivalent(equivalent(X9,X10),X11),X12),equivalent(equivalent(equivalent(X9,X13),X11),equivalent(equivalent(X10,X13),X12)))),equivalent(equivalent(equivalent(equivalent(equivalent(X14,X15),equivalent(X14,X16)),equivalent(X15,X16)),X17),X17))),true,true,true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_309])]) ).

fof(f945,plain,
    ( ! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X14,X4,X16,X17,X15,X5,X12,X13] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),X2),X3),equivalent(equivalent(equivalent(X0,X4),X2),equivalent(equivalent(X1,X4),X3))),equivalent(equivalent(equivalent(equivalent(equivalent(X5,X6),equivalent(X5,X7)),equivalent(X6,X7)),X8),X8)),equivalent(equivalent(equivalent(equivalent(X9,X10),X11),X12),equivalent(equivalent(equivalent(X9,X13),X11),equivalent(equivalent(X10,X13),X12)))),equivalent(equivalent(equivalent(equivalent(equivalent(X14,X15),equivalent(X14,X16)),equivalent(X15,X16)),X17),X17))),true,true,true)
    | ~ spl0_9
    | ~ spl0_89 ),
    inference(superposition,[],[f67,f899]) ).

fof(f4300,plain,
    ( spl0_308
    | ~ spl0_9
    | ~ spl0_88 ),
    inference(avatar_split_clause,[],[f942,f894,f66,f4298]) ).

fof(f4298,plain,
    ( spl0_308
  <=> ! [X7,X2,X3,X10,X0,X11,X1,X8,X6,X9,X16,X14,X4,X17,X15,X5,X12,X13] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),X3),equivalent(equivalent(X1,X2),X3)),X4),X4),equivalent(equivalent(equivalent(equivalent(equivalent(X5,X6),equivalent(X5,X7)),equivalent(X6,X7)),X8),X8)),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X9,X10),equivalent(X9,X11)),X12),equivalent(equivalent(X10,X11),X12)),X13),X13)),equivalent(equivalent(equivalent(equivalent(equivalent(X14,X15),equivalent(X14,X16)),equivalent(X15,X16)),X17),X17))),true,true,true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_308])]) ).

fof(f942,plain,
    ( ! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X14,X4,X16,X17,X15,X5,X12,X13] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),X3),equivalent(equivalent(X1,X2),X3)),X4),X4),equivalent(equivalent(equivalent(equivalent(equivalent(X5,X6),equivalent(X5,X7)),equivalent(X6,X7)),X8),X8)),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X9,X10),equivalent(X9,X11)),X12),equivalent(equivalent(X10,X11),X12)),X13),X13)),equivalent(equivalent(equivalent(equivalent(equivalent(X14,X15),equivalent(X14,X16)),equivalent(X15,X16)),X17),X17))),true,true,true)
    | ~ spl0_9
    | ~ spl0_88 ),
    inference(superposition,[],[f67,f895]) ).

fof(f4296,plain,
    ( spl0_307
    | ~ spl0_9
    | ~ spl0_87 ),
    inference(avatar_split_clause,[],[f939,f890,f66,f4294]) ).

fof(f4294,plain,
    ( spl0_307
  <=> ! [X7,X2,X3,X10,X0,X11,X1,X8,X6,X9,X16,X14,X4,X17,X15,X5,X12,X13] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),X3),equivalent(equivalent(X1,X2),X3)),X4),X4),equivalent(equivalent(equivalent(equivalent(equivalent(X5,X6),equivalent(X5,X7)),equivalent(X6,X7)),X8),X8)),equivalent(equivalent(equivalent(equivalent(X9,X10),X11),X12),equivalent(equivalent(equivalent(X9,X13),X11),equivalent(equivalent(X10,X13),X12)))),equivalent(equivalent(equivalent(equivalent(equivalent(X14,X15),equivalent(X14,X16)),equivalent(X15,X16)),X17),X17))),true,true,true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_307])]) ).

fof(f939,plain,
    ( ! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X14,X4,X16,X17,X15,X5,X12,X13] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),X3),equivalent(equivalent(X1,X2),X3)),X4),X4),equivalent(equivalent(equivalent(equivalent(equivalent(X5,X6),equivalent(X5,X7)),equivalent(X6,X7)),X8),X8)),equivalent(equivalent(equivalent(equivalent(X9,X10),X11),X12),equivalent(equivalent(equivalent(X9,X13),X11),equivalent(equivalent(X10,X13),X12)))),equivalent(equivalent(equivalent(equivalent(equivalent(X14,X15),equivalent(X14,X16)),equivalent(X15,X16)),X17),X17))),true,true,true)
    | ~ spl0_9
    | ~ spl0_87 ),
    inference(superposition,[],[f67,f891]) ).

fof(f4292,plain,
    ( spl0_306
    | ~ spl0_9
    | ~ spl0_86 ),
    inference(avatar_split_clause,[],[f936,f886,f66,f4290]) ).

fof(f4290,plain,
    ( spl0_306
  <=> ! [X7,X2,X3,X10,X0,X11,X1,X8,X6,X9,X16,X14,X4,X17,X15,X5,X12,X13] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),equivalent(X1,X2)),X3),X3),equivalent(equivalent(equivalent(equivalent(X4,X5),X6),X7),equivalent(equivalent(equivalent(X4,X8),X6),equivalent(equivalent(X5,X8),X7)))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X9,X10),equivalent(X9,X11)),X12),equivalent(equivalent(X10,X11),X12)),X13),X13)),equivalent(equivalent(equivalent(equivalent(equivalent(X14,X15),equivalent(X14,X16)),equivalent(X15,X16)),X17),X17))),true,true,true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_306])]) ).

fof(f936,plain,
    ( ! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X14,X4,X16,X17,X15,X5,X12,X13] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),equivalent(X1,X2)),X3),X3),equivalent(equivalent(equivalent(equivalent(X4,X5),X6),X7),equivalent(equivalent(equivalent(X4,X8),X6),equivalent(equivalent(X5,X8),X7)))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X9,X10),equivalent(X9,X11)),X12),equivalent(equivalent(X10,X11),X12)),X13),X13)),equivalent(equivalent(equivalent(equivalent(equivalent(X14,X15),equivalent(X14,X16)),equivalent(X15,X16)),X17),X17))),true,true,true)
    | ~ spl0_9
    | ~ spl0_86 ),
    inference(superposition,[],[f67,f887]) ).

fof(f4288,plain,
    ( spl0_305
    | ~ spl0_9
    | ~ spl0_84 ),
    inference(avatar_split_clause,[],[f933,f878,f66,f4286]) ).

fof(f4286,plain,
    ( spl0_305
  <=> ! [X7,X2,X3,X10,X0,X11,X1,X8,X6,X9,X16,X14,X4,X17,X15,X5,X12,X13] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),equivalent(X1,X2)),X3),X3),equivalent(equivalent(equivalent(equivalent(X4,X5),X6),X7),equivalent(equivalent(equivalent(X4,X8),X6),equivalent(equivalent(X5,X8),X7)))),equivalent(equivalent(equivalent(equivalent(X9,X10),X11),X12),equivalent(equivalent(equivalent(X9,X13),X11),equivalent(equivalent(X10,X13),X12)))),equivalent(equivalent(equivalent(equivalent(equivalent(X14,X15),equivalent(X14,X16)),equivalent(X15,X16)),X17),X17))),true,true,true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_305])]) ).

fof(f933,plain,
    ( ! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X14,X4,X16,X17,X15,X5,X12,X13] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),equivalent(X1,X2)),X3),X3),equivalent(equivalent(equivalent(equivalent(X4,X5),X6),X7),equivalent(equivalent(equivalent(X4,X8),X6),equivalent(equivalent(X5,X8),X7)))),equivalent(equivalent(equivalent(equivalent(X9,X10),X11),X12),equivalent(equivalent(equivalent(X9,X13),X11),equivalent(equivalent(X10,X13),X12)))),equivalent(equivalent(equivalent(equivalent(equivalent(X14,X15),equivalent(X14,X16)),equivalent(X15,X16)),X17),X17))),true,true,true)
    | ~ spl0_9
    | ~ spl0_84 ),
    inference(superposition,[],[f67,f879]) ).

fof(f4284,plain,
    ( spl0_304
    | ~ spl0_9
    | ~ spl0_83 ),
    inference(avatar_split_clause,[],[f930,f874,f66,f4282]) ).

fof(f4282,plain,
    ( spl0_304
  <=> ! [X7,X2,X3,X10,X0,X11,X1,X8,X6,X9,X16,X14,X4,X17,X15,X5,X12,X13] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),equivalent(X1,X2)),X3),X3),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X4,X5),equivalent(X4,X6)),X7),equivalent(equivalent(X5,X6),X7)),X8),X8)),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X9,X10),equivalent(X9,X11)),X12),equivalent(equivalent(X10,X11),X12)),X13),X13)),equivalent(equivalent(equivalent(equivalent(equivalent(X14,X15),equivalent(X14,X16)),equivalent(X15,X16)),X17),X17))),true,true,true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_304])]) ).

fof(f930,plain,
    ( ! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X14,X4,X16,X17,X15,X5,X12,X13] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),equivalent(X1,X2)),X3),X3),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X4,X5),equivalent(X4,X6)),X7),equivalent(equivalent(X5,X6),X7)),X8),X8)),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X9,X10),equivalent(X9,X11)),X12),equivalent(equivalent(X10,X11),X12)),X13),X13)),equivalent(equivalent(equivalent(equivalent(equivalent(X14,X15),equivalent(X14,X16)),equivalent(X15,X16)),X17),X17))),true,true,true)
    | ~ spl0_9
    | ~ spl0_83 ),
    inference(superposition,[],[f67,f875]) ).

fof(f4280,plain,
    ( spl0_303
    | ~ spl0_9
    | ~ spl0_82 ),
    inference(avatar_split_clause,[],[f923,f870,f66,f4278]) ).

fof(f4278,plain,
    ( spl0_303
  <=> ! [X7,X2,X3,X10,X0,X11,X1,X8,X6,X9,X16,X14,X4,X17,X15,X5,X12,X13] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),equivalent(X1,X2)),X3),X3),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X4,X5),equivalent(X4,X6)),X7),equivalent(equivalent(X5,X6),X7)),X8),X8)),equivalent(equivalent(equivalent(equivalent(X9,X10),X11),X12),equivalent(equivalent(equivalent(X9,X13),X11),equivalent(equivalent(X10,X13),X12)))),equivalent(equivalent(equivalent(equivalent(equivalent(X14,X15),equivalent(X14,X16)),equivalent(X15,X16)),X17),X17))),true,true,true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_303])]) ).

fof(f923,plain,
    ( ! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X14,X4,X16,X17,X15,X5,X12,X13] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),equivalent(X1,X2)),X3),X3),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X4,X5),equivalent(X4,X6)),X7),equivalent(equivalent(X5,X6),X7)),X8),X8)),equivalent(equivalent(equivalent(equivalent(X9,X10),X11),X12),equivalent(equivalent(equivalent(X9,X13),X11),equivalent(equivalent(X10,X13),X12)))),equivalent(equivalent(equivalent(equivalent(equivalent(X14,X15),equivalent(X14,X16)),equivalent(X15,X16)),X17),X17))),true,true,true)
    | ~ spl0_9
    | ~ spl0_82 ),
    inference(superposition,[],[f67,f871]) ).

fof(f4276,plain,
    ( spl0_302
    | ~ spl0_15
    | ~ spl0_81 ),
    inference(avatar_split_clause,[],[f867,f847,f136,f4274]) ).

fof(f4274,plain,
    ( spl0_302
  <=> ! [X7,X2,X3,X10,X0,X11,X1,X8,X6,X9,X16,X14,X4,X17,X15,X5,X12,X13] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),X2),X3),equivalent(equivalent(equivalent(X0,X4),X2),equivalent(equivalent(X1,X4),X3))),equivalent(equivalent(equivalent(equivalent(equivalent(X5,X6),equivalent(X5,X7)),equivalent(X6,X7)),X8),X8)),equivalent(equivalent(equivalent(equivalent(equivalent(X9,X10),equivalent(X9,X11)),equivalent(X10,X11)),X12),X12)),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X13,X14),equivalent(X13,X15)),X16),equivalent(equivalent(X14,X15),X16)),X17),X17))),true,true,true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_302])]) ).

fof(f847,plain,
    ( spl0_81
  <=> ! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X4,X5,X12] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),X2),X3),equivalent(equivalent(equivalent(X0,X4),X2),equivalent(equivalent(X1,X4),X3))),equivalent(equivalent(equivalent(equivalent(equivalent(X5,X6),equivalent(X5,X7)),equivalent(X6,X7)),X8),X8)),equivalent(equivalent(equivalent(equivalent(equivalent(X9,X10),equivalent(X9,X11)),equivalent(X10,X11)),X12),X12))),true,true,true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_81])]) ).

fof(f867,plain,
    ( ! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X14,X4,X16,X17,X15,X5,X12,X13] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),X2),X3),equivalent(equivalent(equivalent(X0,X4),X2),equivalent(equivalent(X1,X4),X3))),equivalent(equivalent(equivalent(equivalent(equivalent(X5,X6),equivalent(X5,X7)),equivalent(X6,X7)),X8),X8)),equivalent(equivalent(equivalent(equivalent(equivalent(X9,X10),equivalent(X9,X11)),equivalent(X10,X11)),X12),X12)),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X13,X14),equivalent(X13,X15)),X16),equivalent(equivalent(X14,X15),X16)),X17),X17))),true,true,true)
    | ~ spl0_15
    | ~ spl0_81 ),
    inference(superposition,[],[f137,f848]) ).

fof(f848,plain,
    ( ! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X4,X5,X12] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),X2),X3),equivalent(equivalent(equivalent(X0,X4),X2),equivalent(equivalent(X1,X4),X3))),equivalent(equivalent(equivalent(equivalent(equivalent(X5,X6),equivalent(X5,X7)),equivalent(X6,X7)),X8),X8)),equivalent(equivalent(equivalent(equivalent(equivalent(X9,X10),equivalent(X9,X11)),equivalent(X10,X11)),X12),X12))),true,true,true)
    | ~ spl0_81 ),
    inference(avatar_component_clause,[],[f847]) ).

fof(f4272,plain,
    ( spl0_301
    | ~ spl0_16
    | ~ spl0_81 ),
    inference(avatar_split_clause,[],[f866,f847,f140,f4270]) ).

fof(f4270,plain,
    ( spl0_301
  <=> ! [X7,X2,X3,X10,X0,X11,X1,X8,X6,X9,X16,X14,X4,X17,X15,X5,X12,X13] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),X2),X3),equivalent(equivalent(equivalent(X0,X4),X2),equivalent(equivalent(X1,X4),X3))),equivalent(equivalent(equivalent(equivalent(equivalent(X5,X6),equivalent(X5,X7)),equivalent(X6,X7)),X8),X8)),equivalent(equivalent(equivalent(equivalent(equivalent(X9,X10),equivalent(X9,X11)),equivalent(X10,X11)),X12),X12)),equivalent(equivalent(equivalent(equivalent(X13,X14),X15),X16),equivalent(equivalent(equivalent(X13,X17),X15),equivalent(equivalent(X14,X17),X16))))),true,true,true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_301])]) ).

fof(f866,plain,
    ( ! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X14,X4,X16,X17,X15,X5,X12,X13] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),X2),X3),equivalent(equivalent(equivalent(X0,X4),X2),equivalent(equivalent(X1,X4),X3))),equivalent(equivalent(equivalent(equivalent(equivalent(X5,X6),equivalent(X5,X7)),equivalent(X6,X7)),X8),X8)),equivalent(equivalent(equivalent(equivalent(equivalent(X9,X10),equivalent(X9,X11)),equivalent(X10,X11)),X12),X12)),equivalent(equivalent(equivalent(equivalent(X13,X14),X15),X16),equivalent(equivalent(equivalent(X13,X17),X15),equivalent(equivalent(X14,X17),X16))))),true,true,true)
    | ~ spl0_16
    | ~ spl0_81 ),
    inference(superposition,[],[f141,f848]) ).

fof(f4268,plain,
    ( spl0_300
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_235 ),
    inference(avatar_split_clause,[],[f3522,f3370,f17,f13,f4266]) ).

fof(f4266,plain,
    ( spl0_300
  <=> ! [X2,X0,X1] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(X0,X0),X1),X1),X2)),true,is_a_theorem(X2),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_300])]) ).

fof(f3370,plain,
    ( spl0_235
  <=> ! [X0,X1] : true = is_a_theorem(equivalent(equivalent(equivalent(X0,X0),X1),X1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_235])]) ).

fof(f3522,plain,
    ( ! [X2,X0,X1] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(X0,X0),X1),X1),X2)),true,is_a_theorem(X2),true)
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_235 ),
    inference(forward_demodulation,[],[f3476,f14]) ).

fof(f3476,plain,
    ( ! [X2,X0,X1] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(X0,X0),X1),X1),X2)),true,ifeq(true,true,is_a_theorem(X2),true),true)
    | ~ spl0_3
    | ~ spl0_235 ),
    inference(superposition,[],[f18,f3371]) ).

fof(f3371,plain,
    ( ! [X0,X1] : true = is_a_theorem(equivalent(equivalent(equivalent(X0,X0),X1),X1))
    | ~ spl0_235 ),
    inference(avatar_component_clause,[],[f3370]) ).

fof(f4264,plain,
    ( spl0_299
    | ~ spl0_15
    | ~ spl0_79 ),
    inference(avatar_split_clause,[],[f863,f839,f136,f4262]) ).

fof(f4262,plain,
    ( spl0_299
  <=> ! [X7,X2,X3,X10,X0,X11,X1,X8,X6,X9,X16,X14,X4,X17,X15,X5,X12,X13] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),X3),equivalent(equivalent(X1,X2),X3)),X4),X4),equivalent(equivalent(equivalent(equivalent(equivalent(X5,X6),equivalent(X5,X7)),equivalent(X6,X7)),X8),X8)),equivalent(equivalent(equivalent(equivalent(equivalent(X9,X10),equivalent(X9,X11)),equivalent(X10,X11)),X12),X12)),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X13,X14),equivalent(X13,X15)),X16),equivalent(equivalent(X14,X15),X16)),X17),X17))),true,true,true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_299])]) ).

fof(f839,plain,
    ( spl0_79
  <=> ! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X4,X5,X12] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),X3),equivalent(equivalent(X1,X2),X3)),X4),X4),equivalent(equivalent(equivalent(equivalent(equivalent(X5,X6),equivalent(X5,X7)),equivalent(X6,X7)),X8),X8)),equivalent(equivalent(equivalent(equivalent(equivalent(X9,X10),equivalent(X9,X11)),equivalent(X10,X11)),X12),X12))),true,true,true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_79])]) ).

fof(f863,plain,
    ( ! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X14,X4,X16,X17,X15,X5,X12,X13] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),X3),equivalent(equivalent(X1,X2),X3)),X4),X4),equivalent(equivalent(equivalent(equivalent(equivalent(X5,X6),equivalent(X5,X7)),equivalent(X6,X7)),X8),X8)),equivalent(equivalent(equivalent(equivalent(equivalent(X9,X10),equivalent(X9,X11)),equivalent(X10,X11)),X12),X12)),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X13,X14),equivalent(X13,X15)),X16),equivalent(equivalent(X14,X15),X16)),X17),X17))),true,true,true)
    | ~ spl0_15
    | ~ spl0_79 ),
    inference(superposition,[],[f137,f840]) ).

fof(f840,plain,
    ( ! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X4,X5,X12] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),X3),equivalent(equivalent(X1,X2),X3)),X4),X4),equivalent(equivalent(equivalent(equivalent(equivalent(X5,X6),equivalent(X5,X7)),equivalent(X6,X7)),X8),X8)),equivalent(equivalent(equivalent(equivalent(equivalent(X9,X10),equivalent(X9,X11)),equivalent(X10,X11)),X12),X12))),true,true,true)
    | ~ spl0_79 ),
    inference(avatar_component_clause,[],[f839]) ).

fof(f4260,plain,
    ( spl0_298
    | ~ spl0_16
    | ~ spl0_79 ),
    inference(avatar_split_clause,[],[f862,f839,f140,f4258]) ).

fof(f4258,plain,
    ( spl0_298
  <=> ! [X7,X2,X3,X10,X0,X11,X1,X8,X6,X9,X16,X14,X4,X17,X15,X5,X12,X13] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),X3),equivalent(equivalent(X1,X2),X3)),X4),X4),equivalent(equivalent(equivalent(equivalent(equivalent(X5,X6),equivalent(X5,X7)),equivalent(X6,X7)),X8),X8)),equivalent(equivalent(equivalent(equivalent(equivalent(X9,X10),equivalent(X9,X11)),equivalent(X10,X11)),X12),X12)),equivalent(equivalent(equivalent(equivalent(X13,X14),X15),X16),equivalent(equivalent(equivalent(X13,X17),X15),equivalent(equivalent(X14,X17),X16))))),true,true,true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_298])]) ).

fof(f862,plain,
    ( ! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X14,X4,X16,X17,X15,X5,X12,X13] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),X3),equivalent(equivalent(X1,X2),X3)),X4),X4),equivalent(equivalent(equivalent(equivalent(equivalent(X5,X6),equivalent(X5,X7)),equivalent(X6,X7)),X8),X8)),equivalent(equivalent(equivalent(equivalent(equivalent(X9,X10),equivalent(X9,X11)),equivalent(X10,X11)),X12),X12)),equivalent(equivalent(equivalent(equivalent(X13,X14),X15),X16),equivalent(equivalent(equivalent(X13,X17),X15),equivalent(equivalent(X14,X17),X16))))),true,true,true)
    | ~ spl0_16
    | ~ spl0_79 ),
    inference(superposition,[],[f141,f840]) ).

fof(f4256,plain,
    ( spl0_297
    | ~ spl0_15
    | ~ spl0_78 ),
    inference(avatar_split_clause,[],[f860,f835,f136,f4254]) ).

fof(f4254,plain,
    ( spl0_297
  <=> ! [X7,X2,X3,X10,X0,X11,X1,X8,X6,X9,X16,X14,X4,X17,X15,X5,X12,X13] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),equivalent(X1,X2)),X3),X3),equivalent(equivalent(equivalent(equivalent(X4,X5),X6),X7),equivalent(equivalent(equivalent(X4,X8),X6),equivalent(equivalent(X5,X8),X7)))),equivalent(equivalent(equivalent(equivalent(equivalent(X9,X10),equivalent(X9,X11)),equivalent(X10,X11)),X12),X12)),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X13,X14),equivalent(X13,X15)),X16),equivalent(equivalent(X14,X15),X16)),X17),X17))),true,true,true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_297])]) ).

fof(f835,plain,
    ( spl0_78
  <=> ! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X4,X5,X12] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),equivalent(X1,X2)),X3),X3),equivalent(equivalent(equivalent(equivalent(X4,X5),X6),X7),equivalent(equivalent(equivalent(X4,X8),X6),equivalent(equivalent(X5,X8),X7)))),equivalent(equivalent(equivalent(equivalent(equivalent(X9,X10),equivalent(X9,X11)),equivalent(X10,X11)),X12),X12))),true,true,true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_78])]) ).

fof(f860,plain,
    ( ! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X14,X4,X16,X17,X15,X5,X12,X13] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),equivalent(X1,X2)),X3),X3),equivalent(equivalent(equivalent(equivalent(X4,X5),X6),X7),equivalent(equivalent(equivalent(X4,X8),X6),equivalent(equivalent(X5,X8),X7)))),equivalent(equivalent(equivalent(equivalent(equivalent(X9,X10),equivalent(X9,X11)),equivalent(X10,X11)),X12),X12)),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X13,X14),equivalent(X13,X15)),X16),equivalent(equivalent(X14,X15),X16)),X17),X17))),true,true,true)
    | ~ spl0_15
    | ~ spl0_78 ),
    inference(superposition,[],[f137,f836]) ).

fof(f836,plain,
    ( ! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X4,X5,X12] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),equivalent(X1,X2)),X3),X3),equivalent(equivalent(equivalent(equivalent(X4,X5),X6),X7),equivalent(equivalent(equivalent(X4,X8),X6),equivalent(equivalent(X5,X8),X7)))),equivalent(equivalent(equivalent(equivalent(equivalent(X9,X10),equivalent(X9,X11)),equivalent(X10,X11)),X12),X12))),true,true,true)
    | ~ spl0_78 ),
    inference(avatar_component_clause,[],[f835]) ).

fof(f4252,plain,
    ( spl0_296
    | ~ spl0_16
    | ~ spl0_78 ),
    inference(avatar_split_clause,[],[f859,f835,f140,f4250]) ).

fof(f4250,plain,
    ( spl0_296
  <=> ! [X7,X2,X3,X10,X0,X11,X1,X8,X6,X9,X16,X14,X4,X17,X15,X5,X12,X13] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),equivalent(X1,X2)),X3),X3),equivalent(equivalent(equivalent(equivalent(X4,X5),X6),X7),equivalent(equivalent(equivalent(X4,X8),X6),equivalent(equivalent(X5,X8),X7)))),equivalent(equivalent(equivalent(equivalent(equivalent(X9,X10),equivalent(X9,X11)),equivalent(X10,X11)),X12),X12)),equivalent(equivalent(equivalent(equivalent(X13,X14),X15),X16),equivalent(equivalent(equivalent(X13,X17),X15),equivalent(equivalent(X14,X17),X16))))),true,true,true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_296])]) ).

fof(f859,plain,
    ( ! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X14,X4,X16,X17,X15,X5,X12,X13] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),equivalent(X1,X2)),X3),X3),equivalent(equivalent(equivalent(equivalent(X4,X5),X6),X7),equivalent(equivalent(equivalent(X4,X8),X6),equivalent(equivalent(X5,X8),X7)))),equivalent(equivalent(equivalent(equivalent(equivalent(X9,X10),equivalent(X9,X11)),equivalent(X10,X11)),X12),X12)),equivalent(equivalent(equivalent(equivalent(X13,X14),X15),X16),equivalent(equivalent(equivalent(X13,X17),X15),equivalent(equivalent(X14,X17),X16))))),true,true,true)
    | ~ spl0_16
    | ~ spl0_78 ),
    inference(superposition,[],[f141,f836]) ).

fof(f4248,plain,
    ( spl0_295
    | ~ spl0_15
    | ~ spl0_77 ),
    inference(avatar_split_clause,[],[f857,f831,f136,f4246]) ).

fof(f4246,plain,
    ( spl0_295
  <=> ! [X7,X2,X3,X10,X0,X11,X1,X8,X6,X9,X16,X14,X4,X17,X15,X5,X12,X13] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),equivalent(X1,X2)),X3),X3),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X4,X5),equivalent(X4,X6)),X7),equivalent(equivalent(X5,X6),X7)),X8),X8)),equivalent(equivalent(equivalent(equivalent(equivalent(X9,X10),equivalent(X9,X11)),equivalent(X10,X11)),X12),X12)),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X13,X14),equivalent(X13,X15)),X16),equivalent(equivalent(X14,X15),X16)),X17),X17))),true,true,true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_295])]) ).

fof(f831,plain,
    ( spl0_77
  <=> ! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X4,X5,X12] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),equivalent(X1,X2)),X3),X3),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X4,X5),equivalent(X4,X6)),X7),equivalent(equivalent(X5,X6),X7)),X8),X8)),equivalent(equivalent(equivalent(equivalent(equivalent(X9,X10),equivalent(X9,X11)),equivalent(X10,X11)),X12),X12))),true,true,true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_77])]) ).

fof(f857,plain,
    ( ! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X14,X4,X16,X17,X15,X5,X12,X13] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),equivalent(X1,X2)),X3),X3),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X4,X5),equivalent(X4,X6)),X7),equivalent(equivalent(X5,X6),X7)),X8),X8)),equivalent(equivalent(equivalent(equivalent(equivalent(X9,X10),equivalent(X9,X11)),equivalent(X10,X11)),X12),X12)),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X13,X14),equivalent(X13,X15)),X16),equivalent(equivalent(X14,X15),X16)),X17),X17))),true,true,true)
    | ~ spl0_15
    | ~ spl0_77 ),
    inference(superposition,[],[f137,f832]) ).

fof(f832,plain,
    ( ! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X4,X5,X12] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),equivalent(X1,X2)),X3),X3),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X4,X5),equivalent(X4,X6)),X7),equivalent(equivalent(X5,X6),X7)),X8),X8)),equivalent(equivalent(equivalent(equivalent(equivalent(X9,X10),equivalent(X9,X11)),equivalent(X10,X11)),X12),X12))),true,true,true)
    | ~ spl0_77 ),
    inference(avatar_component_clause,[],[f831]) ).

fof(f4244,plain,
    ( spl0_294
    | ~ spl0_16
    | ~ spl0_77 ),
    inference(avatar_split_clause,[],[f856,f831,f140,f4242]) ).

fof(f4242,plain,
    ( spl0_294
  <=> ! [X7,X2,X3,X10,X0,X11,X1,X8,X6,X9,X16,X14,X4,X17,X15,X5,X12,X13] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),equivalent(X1,X2)),X3),X3),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X4,X5),equivalent(X4,X6)),X7),equivalent(equivalent(X5,X6),X7)),X8),X8)),equivalent(equivalent(equivalent(equivalent(equivalent(X9,X10),equivalent(X9,X11)),equivalent(X10,X11)),X12),X12)),equivalent(equivalent(equivalent(equivalent(X13,X14),X15),X16),equivalent(equivalent(equivalent(X13,X17),X15),equivalent(equivalent(X14,X17),X16))))),true,true,true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_294])]) ).

fof(f856,plain,
    ( ! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X14,X4,X16,X17,X15,X5,X12,X13] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),equivalent(X1,X2)),X3),X3),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X4,X5),equivalent(X4,X6)),X7),equivalent(equivalent(X5,X6),X7)),X8),X8)),equivalent(equivalent(equivalent(equivalent(equivalent(X9,X10),equivalent(X9,X11)),equivalent(X10,X11)),X12),X12)),equivalent(equivalent(equivalent(equivalent(X13,X14),X15),X16),equivalent(equivalent(equivalent(X13,X17),X15),equivalent(equivalent(X14,X17),X16))))),true,true,true)
    | ~ spl0_16
    | ~ spl0_77 ),
    inference(superposition,[],[f141,f832]) ).

fof(f4240,plain,
    ( spl0_293
    | ~ spl0_15
    | ~ spl0_76 ),
    inference(avatar_split_clause,[],[f854,f827,f136,f4238]) ).

fof(f4238,plain,
    ( spl0_293
  <=> ! [X7,X2,X3,X10,X0,X11,X1,X8,X6,X9,X16,X14,X4,X17,X15,X5,X12,X13] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),equivalent(X1,X2)),X3),X3),equivalent(equivalent(equivalent(equivalent(equivalent(X4,X5),equivalent(X4,X6)),equivalent(X5,X6)),X7),X7)),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X8,X9),equivalent(X8,X10)),X11),equivalent(equivalent(X9,X10),X11)),X12),X12)),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X13,X14),equivalent(X13,X15)),X16),equivalent(equivalent(X14,X15),X16)),X17),X17))),true,true,true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_293])]) ).

fof(f827,plain,
    ( spl0_76
  <=> ! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X4,X5,X12] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),equivalent(X1,X2)),X3),X3),equivalent(equivalent(equivalent(equivalent(equivalent(X4,X5),equivalent(X4,X6)),equivalent(X5,X6)),X7),X7)),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X8,X9),equivalent(X8,X10)),X11),equivalent(equivalent(X9,X10),X11)),X12),X12))),true,true,true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_76])]) ).

fof(f854,plain,
    ( ! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X14,X4,X16,X17,X15,X5,X12,X13] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),equivalent(X1,X2)),X3),X3),equivalent(equivalent(equivalent(equivalent(equivalent(X4,X5),equivalent(X4,X6)),equivalent(X5,X6)),X7),X7)),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X8,X9),equivalent(X8,X10)),X11),equivalent(equivalent(X9,X10),X11)),X12),X12)),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X13,X14),equivalent(X13,X15)),X16),equivalent(equivalent(X14,X15),X16)),X17),X17))),true,true,true)
    | ~ spl0_15
    | ~ spl0_76 ),
    inference(superposition,[],[f137,f828]) ).

fof(f828,plain,
    ( ! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X4,X5,X12] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),equivalent(X1,X2)),X3),X3),equivalent(equivalent(equivalent(equivalent(equivalent(X4,X5),equivalent(X4,X6)),equivalent(X5,X6)),X7),X7)),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X8,X9),equivalent(X8,X10)),X11),equivalent(equivalent(X9,X10),X11)),X12),X12))),true,true,true)
    | ~ spl0_76 ),
    inference(avatar_component_clause,[],[f827]) ).

fof(f4236,plain,
    ( spl0_292
    | ~ spl0_16
    | ~ spl0_76 ),
    inference(avatar_split_clause,[],[f853,f827,f140,f4234]) ).

fof(f4234,plain,
    ( spl0_292
  <=> ! [X7,X2,X3,X10,X0,X11,X1,X8,X6,X9,X16,X14,X4,X17,X15,X5,X12,X13] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),equivalent(X1,X2)),X3),X3),equivalent(equivalent(equivalent(equivalent(equivalent(X4,X5),equivalent(X4,X6)),equivalent(X5,X6)),X7),X7)),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X8,X9),equivalent(X8,X10)),X11),equivalent(equivalent(X9,X10),X11)),X12),X12)),equivalent(equivalent(equivalent(equivalent(X13,X14),X15),X16),equivalent(equivalent(equivalent(X13,X17),X15),equivalent(equivalent(X14,X17),X16))))),true,true,true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_292])]) ).

fof(f853,plain,
    ( ! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X14,X4,X16,X17,X15,X5,X12,X13] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),equivalent(X1,X2)),X3),X3),equivalent(equivalent(equivalent(equivalent(equivalent(X4,X5),equivalent(X4,X6)),equivalent(X5,X6)),X7),X7)),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X8,X9),equivalent(X8,X10)),X11),equivalent(equivalent(X9,X10),X11)),X12),X12)),equivalent(equivalent(equivalent(equivalent(X13,X14),X15),X16),equivalent(equivalent(equivalent(X13,X17),X15),equivalent(equivalent(X14,X17),X16))))),true,true,true)
    | ~ spl0_16
    | ~ spl0_76 ),
    inference(superposition,[],[f141,f828]) ).

fof(f4232,plain,
    ( spl0_291
    | ~ spl0_15
    | ~ spl0_75 ),
    inference(avatar_split_clause,[],[f851,f823,f136,f4230]) ).

fof(f4230,plain,
    ( spl0_291
  <=> ! [X7,X2,X3,X10,X0,X11,X1,X8,X6,X9,X16,X14,X4,X17,X15,X5,X12,X13] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),equivalent(X1,X2)),X3),X3),equivalent(equivalent(equivalent(equivalent(equivalent(X4,X5),equivalent(X4,X6)),equivalent(X5,X6)),X7),X7)),equivalent(equivalent(equivalent(equivalent(X8,X9),X10),X11),equivalent(equivalent(equivalent(X8,X12),X10),equivalent(equivalent(X9,X12),X11)))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X13,X14),equivalent(X13,X15)),X16),equivalent(equivalent(X14,X15),X16)),X17),X17))),true,true,true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_291])]) ).

fof(f823,plain,
    ( spl0_75
  <=> ! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X4,X5,X12] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),equivalent(X1,X2)),X3),X3),equivalent(equivalent(equivalent(equivalent(equivalent(X4,X5),equivalent(X4,X6)),equivalent(X5,X6)),X7),X7)),equivalent(equivalent(equivalent(equivalent(X8,X9),X10),X11),equivalent(equivalent(equivalent(X8,X12),X10),equivalent(equivalent(X9,X12),X11))))),true,true,true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_75])]) ).

fof(f851,plain,
    ( ! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X14,X4,X16,X17,X15,X5,X12,X13] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),equivalent(X1,X2)),X3),X3),equivalent(equivalent(equivalent(equivalent(equivalent(X4,X5),equivalent(X4,X6)),equivalent(X5,X6)),X7),X7)),equivalent(equivalent(equivalent(equivalent(X8,X9),X10),X11),equivalent(equivalent(equivalent(X8,X12),X10),equivalent(equivalent(X9,X12),X11)))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X13,X14),equivalent(X13,X15)),X16),equivalent(equivalent(X14,X15),X16)),X17),X17))),true,true,true)
    | ~ spl0_15
    | ~ spl0_75 ),
    inference(superposition,[],[f137,f824]) ).

fof(f824,plain,
    ( ! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X4,X5,X12] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),equivalent(X1,X2)),X3),X3),equivalent(equivalent(equivalent(equivalent(equivalent(X4,X5),equivalent(X4,X6)),equivalent(X5,X6)),X7),X7)),equivalent(equivalent(equivalent(equivalent(X8,X9),X10),X11),equivalent(equivalent(equivalent(X8,X12),X10),equivalent(equivalent(X9,X12),X11))))),true,true,true)
    | ~ spl0_75 ),
    inference(avatar_component_clause,[],[f823]) ).

fof(f4228,plain,
    ( spl0_290
    | ~ spl0_16
    | ~ spl0_75 ),
    inference(avatar_split_clause,[],[f850,f823,f140,f4226]) ).

fof(f4226,plain,
    ( spl0_290
  <=> ! [X7,X2,X3,X10,X0,X11,X1,X8,X6,X9,X16,X14,X4,X17,X15,X5,X12,X13] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),equivalent(X1,X2)),X3),X3),equivalent(equivalent(equivalent(equivalent(equivalent(X4,X5),equivalent(X4,X6)),equivalent(X5,X6)),X7),X7)),equivalent(equivalent(equivalent(equivalent(X8,X9),X10),X11),equivalent(equivalent(equivalent(X8,X12),X10),equivalent(equivalent(X9,X12),X11)))),equivalent(equivalent(equivalent(equivalent(X13,X14),X15),X16),equivalent(equivalent(equivalent(X13,X17),X15),equivalent(equivalent(X14,X17),X16))))),true,true,true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_290])]) ).

fof(f850,plain,
    ( ! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X14,X4,X16,X17,X15,X5,X12,X13] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),equivalent(X1,X2)),X3),X3),equivalent(equivalent(equivalent(equivalent(equivalent(X4,X5),equivalent(X4,X6)),equivalent(X5,X6)),X7),X7)),equivalent(equivalent(equivalent(equivalent(X8,X9),X10),X11),equivalent(equivalent(equivalent(X8,X12),X10),equivalent(equivalent(X9,X12),X11)))),equivalent(equivalent(equivalent(equivalent(X13,X14),X15),X16),equivalent(equivalent(equivalent(X13,X17),X15),equivalent(equivalent(X14,X17),X16))))),true,true,true)
    | ~ spl0_16
    | ~ spl0_75 ),
    inference(superposition,[],[f141,f824]) ).

fof(f4224,plain,
    ( spl0_289
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_216 ),
    inference(avatar_split_clause,[],[f3220,f3081,f17,f13,f4222]) ).

fof(f4222,plain,
    ( spl0_289
  <=> ! [X2,X0,X1] : true = ifeq(is_a_theorem(equivalent(equivalent(X0,equivalent(equivalent(X1,X1),X0)),X2)),true,is_a_theorem(X2),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_289])]) ).

fof(f3081,plain,
    ( spl0_216
  <=> ! [X0,X1] : true = is_a_theorem(equivalent(X0,equivalent(equivalent(X1,X1),X0))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_216])]) ).

fof(f3220,plain,
    ( ! [X2,X0,X1] : true = ifeq(is_a_theorem(equivalent(equivalent(X0,equivalent(equivalent(X1,X1),X0)),X2)),true,is_a_theorem(X2),true)
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_216 ),
    inference(forward_demodulation,[],[f3173,f14]) ).

fof(f3173,plain,
    ( ! [X2,X0,X1] : true = ifeq(is_a_theorem(equivalent(equivalent(X0,equivalent(equivalent(X1,X1),X0)),X2)),true,ifeq(true,true,is_a_theorem(X2),true),true)
    | ~ spl0_3
    | ~ spl0_216 ),
    inference(superposition,[],[f18,f3082]) ).

fof(f3082,plain,
    ( ! [X0,X1] : true = is_a_theorem(equivalent(X0,equivalent(equivalent(X1,X1),X0)))
    | ~ spl0_216 ),
    inference(avatar_component_clause,[],[f3081]) ).

fof(f4154,plain,
    ( spl0_288
    | ~ spl0_9
    | ~ spl0_81 ),
    inference(avatar_split_clause,[],[f868,f847,f66,f4152]) ).

fof(f4152,plain,
    ( spl0_288
  <=> ! [X7,X2,X3,X10,X0,X11,X1,X8,X6,X9,X16,X14,X4,X15,X5,X12,X13] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),X2),X3),equivalent(equivalent(equivalent(X0,X4),X2),equivalent(equivalent(X1,X4),X3))),equivalent(equivalent(equivalent(equivalent(equivalent(X5,X6),equivalent(X5,X7)),equivalent(X6,X7)),X8),X8)),equivalent(equivalent(equivalent(equivalent(equivalent(X9,X10),equivalent(X9,X11)),equivalent(X10,X11)),X12),X12)),equivalent(equivalent(equivalent(equivalent(equivalent(X13,X14),equivalent(X13,X15)),equivalent(X14,X15)),X16),X16))),true,true,true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_288])]) ).

fof(f868,plain,
    ( ! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X14,X4,X16,X15,X5,X12,X13] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),X2),X3),equivalent(equivalent(equivalent(X0,X4),X2),equivalent(equivalent(X1,X4),X3))),equivalent(equivalent(equivalent(equivalent(equivalent(X5,X6),equivalent(X5,X7)),equivalent(X6,X7)),X8),X8)),equivalent(equivalent(equivalent(equivalent(equivalent(X9,X10),equivalent(X9,X11)),equivalent(X10,X11)),X12),X12)),equivalent(equivalent(equivalent(equivalent(equivalent(X13,X14),equivalent(X13,X15)),equivalent(X14,X15)),X16),X16))),true,true,true)
    | ~ spl0_9
    | ~ spl0_81 ),
    inference(superposition,[],[f67,f848]) ).

fof(f4150,plain,
    ( spl0_287
    | ~ spl0_9
    | ~ spl0_79 ),
    inference(avatar_split_clause,[],[f864,f839,f66,f4148]) ).

fof(f4148,plain,
    ( spl0_287
  <=> ! [X7,X2,X3,X10,X0,X11,X1,X8,X6,X9,X16,X14,X4,X15,X5,X12,X13] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),X3),equivalent(equivalent(X1,X2),X3)),X4),X4),equivalent(equivalent(equivalent(equivalent(equivalent(X5,X6),equivalent(X5,X7)),equivalent(X6,X7)),X8),X8)),equivalent(equivalent(equivalent(equivalent(equivalent(X9,X10),equivalent(X9,X11)),equivalent(X10,X11)),X12),X12)),equivalent(equivalent(equivalent(equivalent(equivalent(X13,X14),equivalent(X13,X15)),equivalent(X14,X15)),X16),X16))),true,true,true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_287])]) ).

fof(f864,plain,
    ( ! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X14,X4,X16,X15,X5,X12,X13] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),X3),equivalent(equivalent(X1,X2),X3)),X4),X4),equivalent(equivalent(equivalent(equivalent(equivalent(X5,X6),equivalent(X5,X7)),equivalent(X6,X7)),X8),X8)),equivalent(equivalent(equivalent(equivalent(equivalent(X9,X10),equivalent(X9,X11)),equivalent(X10,X11)),X12),X12)),equivalent(equivalent(equivalent(equivalent(equivalent(X13,X14),equivalent(X13,X15)),equivalent(X14,X15)),X16),X16))),true,true,true)
    | ~ spl0_9
    | ~ spl0_79 ),
    inference(superposition,[],[f67,f840]) ).

fof(f4146,plain,
    ( spl0_286
    | ~ spl0_3
    | ~ spl0_216 ),
    inference(avatar_split_clause,[],[f3172,f3081,f17,f4144]) ).

fof(f3172,plain,
    ( ! [X0,X1] : true = ifeq(true,true,ifeq(is_a_theorem(X0),true,is_a_theorem(equivalent(equivalent(X1,X1),X0)),true),true)
    | ~ spl0_3
    | ~ spl0_216 ),
    inference(superposition,[],[f18,f3082]) ).

fof(f4142,plain,
    ( spl0_285
    | ~ spl0_9
    | ~ spl0_78 ),
    inference(avatar_split_clause,[],[f861,f835,f66,f4140]) ).

fof(f4140,plain,
    ( spl0_285
  <=> ! [X7,X2,X3,X10,X0,X11,X1,X8,X6,X9,X16,X14,X4,X15,X5,X12,X13] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),equivalent(X1,X2)),X3),X3),equivalent(equivalent(equivalent(equivalent(X4,X5),X6),X7),equivalent(equivalent(equivalent(X4,X8),X6),equivalent(equivalent(X5,X8),X7)))),equivalent(equivalent(equivalent(equivalent(equivalent(X9,X10),equivalent(X9,X11)),equivalent(X10,X11)),X12),X12)),equivalent(equivalent(equivalent(equivalent(equivalent(X13,X14),equivalent(X13,X15)),equivalent(X14,X15)),X16),X16))),true,true,true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_285])]) ).

fof(f861,plain,
    ( ! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X14,X4,X16,X15,X5,X12,X13] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),equivalent(X1,X2)),X3),X3),equivalent(equivalent(equivalent(equivalent(X4,X5),X6),X7),equivalent(equivalent(equivalent(X4,X8),X6),equivalent(equivalent(X5,X8),X7)))),equivalent(equivalent(equivalent(equivalent(equivalent(X9,X10),equivalent(X9,X11)),equivalent(X10,X11)),X12),X12)),equivalent(equivalent(equivalent(equivalent(equivalent(X13,X14),equivalent(X13,X15)),equivalent(X14,X15)),X16),X16))),true,true,true)
    | ~ spl0_9
    | ~ spl0_78 ),
    inference(superposition,[],[f67,f836]) ).

fof(f4138,plain,
    ( spl0_284
    | ~ spl0_9
    | ~ spl0_77 ),
    inference(avatar_split_clause,[],[f858,f831,f66,f4136]) ).

fof(f4136,plain,
    ( spl0_284
  <=> ! [X7,X2,X3,X10,X0,X11,X1,X8,X6,X9,X16,X14,X4,X15,X5,X12,X13] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),equivalent(X1,X2)),X3),X3),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X4,X5),equivalent(X4,X6)),X7),equivalent(equivalent(X5,X6),X7)),X8),X8)),equivalent(equivalent(equivalent(equivalent(equivalent(X9,X10),equivalent(X9,X11)),equivalent(X10,X11)),X12),X12)),equivalent(equivalent(equivalent(equivalent(equivalent(X13,X14),equivalent(X13,X15)),equivalent(X14,X15)),X16),X16))),true,true,true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_284])]) ).

fof(f858,plain,
    ( ! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X14,X4,X16,X15,X5,X12,X13] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),equivalent(X1,X2)),X3),X3),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X4,X5),equivalent(X4,X6)),X7),equivalent(equivalent(X5,X6),X7)),X8),X8)),equivalent(equivalent(equivalent(equivalent(equivalent(X9,X10),equivalent(X9,X11)),equivalent(X10,X11)),X12),X12)),equivalent(equivalent(equivalent(equivalent(equivalent(X13,X14),equivalent(X13,X15)),equivalent(X14,X15)),X16),X16))),true,true,true)
    | ~ spl0_9
    | ~ spl0_77 ),
    inference(superposition,[],[f67,f832]) ).

fof(f4134,plain,
    ( spl0_283
    | ~ spl0_9
    | ~ spl0_76 ),
    inference(avatar_split_clause,[],[f855,f827,f66,f4132]) ).

fof(f4132,plain,
    ( spl0_283
  <=> ! [X7,X2,X3,X10,X0,X11,X1,X8,X6,X9,X16,X14,X4,X15,X5,X12,X13] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),equivalent(X1,X2)),X3),X3),equivalent(equivalent(equivalent(equivalent(equivalent(X4,X5),equivalent(X4,X6)),equivalent(X5,X6)),X7),X7)),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X8,X9),equivalent(X8,X10)),X11),equivalent(equivalent(X9,X10),X11)),X12),X12)),equivalent(equivalent(equivalent(equivalent(equivalent(X13,X14),equivalent(X13,X15)),equivalent(X14,X15)),X16),X16))),true,true,true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_283])]) ).

fof(f855,plain,
    ( ! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X14,X4,X16,X15,X5,X12,X13] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),equivalent(X1,X2)),X3),X3),equivalent(equivalent(equivalent(equivalent(equivalent(X4,X5),equivalent(X4,X6)),equivalent(X5,X6)),X7),X7)),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X8,X9),equivalent(X8,X10)),X11),equivalent(equivalent(X9,X10),X11)),X12),X12)),equivalent(equivalent(equivalent(equivalent(equivalent(X13,X14),equivalent(X13,X15)),equivalent(X14,X15)),X16),X16))),true,true,true)
    | ~ spl0_9
    | ~ spl0_76 ),
    inference(superposition,[],[f67,f828]) ).

fof(f4130,plain,
    ( spl0_282
    | ~ spl0_9
    | ~ spl0_75 ),
    inference(avatar_split_clause,[],[f852,f823,f66,f4128]) ).

fof(f4128,plain,
    ( spl0_282
  <=> ! [X7,X2,X3,X10,X0,X11,X1,X8,X6,X9,X16,X14,X4,X15,X5,X12,X13] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),equivalent(X1,X2)),X3),X3),equivalent(equivalent(equivalent(equivalent(equivalent(X4,X5),equivalent(X4,X6)),equivalent(X5,X6)),X7),X7)),equivalent(equivalent(equivalent(equivalent(X8,X9),X10),X11),equivalent(equivalent(equivalent(X8,X12),X10),equivalent(equivalent(X9,X12),X11)))),equivalent(equivalent(equivalent(equivalent(equivalent(X13,X14),equivalent(X13,X15)),equivalent(X14,X15)),X16),X16))),true,true,true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_282])]) ).

fof(f852,plain,
    ( ! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X14,X4,X16,X15,X5,X12,X13] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),equivalent(X1,X2)),X3),X3),equivalent(equivalent(equivalent(equivalent(equivalent(X4,X5),equivalent(X4,X6)),equivalent(X5,X6)),X7),X7)),equivalent(equivalent(equivalent(equivalent(X8,X9),X10),X11),equivalent(equivalent(equivalent(X8,X12),X10),equivalent(equivalent(X9,X12),X11)))),equivalent(equivalent(equivalent(equivalent(equivalent(X13,X14),equivalent(X13,X15)),equivalent(X14,X15)),X16),X16))),true,true,true)
    | ~ spl0_9
    | ~ spl0_75 ),
    inference(superposition,[],[f67,f824]) ).

fof(f4126,plain,
    ( spl0_281
    | ~ spl0_15
    | ~ spl0_74 ),
    inference(avatar_split_clause,[],[f820,f816,f136,f4124]) ).

fof(f4124,plain,
    ( spl0_281
  <=> ! [X7,X2,X3,X10,X0,X11,X1,X8,X6,X9,X16,X14,X4,X15,X5,X12,X13] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),equivalent(X1,X2)),X3),X3),equivalent(equivalent(equivalent(equivalent(equivalent(X4,X5),equivalent(X4,X6)),equivalent(X5,X6)),X7),X7)),equivalent(equivalent(equivalent(equivalent(equivalent(X8,X9),equivalent(X8,X10)),equivalent(X9,X10)),X11),X11)),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X12,X13),equivalent(X12,X14)),X15),equivalent(equivalent(X13,X14),X15)),X16),X16))),true,true,true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_281])]) ).

fof(f816,plain,
    ( spl0_74
  <=> ! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X4,X5] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),equivalent(X1,X2)),X3),X3),equivalent(equivalent(equivalent(equivalent(equivalent(X4,X5),equivalent(X4,X6)),equivalent(X5,X6)),X7),X7)),equivalent(equivalent(equivalent(equivalent(equivalent(X8,X9),equivalent(X8,X10)),equivalent(X9,X10)),X11),X11))),true,true,true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_74])]) ).

fof(f820,plain,
    ( ! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X14,X4,X16,X15,X5,X12,X13] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),equivalent(X1,X2)),X3),X3),equivalent(equivalent(equivalent(equivalent(equivalent(X4,X5),equivalent(X4,X6)),equivalent(X5,X6)),X7),X7)),equivalent(equivalent(equivalent(equivalent(equivalent(X8,X9),equivalent(X8,X10)),equivalent(X9,X10)),X11),X11)),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X12,X13),equivalent(X12,X14)),X15),equivalent(equivalent(X13,X14),X15)),X16),X16))),true,true,true)
    | ~ spl0_15
    | ~ spl0_74 ),
    inference(superposition,[],[f137,f817]) ).

fof(f817,plain,
    ( ! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X4,X5] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),equivalent(X1,X2)),X3),X3),equivalent(equivalent(equivalent(equivalent(equivalent(X4,X5),equivalent(X4,X6)),equivalent(X5,X6)),X7),X7)),equivalent(equivalent(equivalent(equivalent(equivalent(X8,X9),equivalent(X8,X10)),equivalent(X9,X10)),X11),X11))),true,true,true)
    | ~ spl0_74 ),
    inference(avatar_component_clause,[],[f816]) ).

fof(f4122,plain,
    ( spl0_280
    | ~ spl0_16
    | ~ spl0_74 ),
    inference(avatar_split_clause,[],[f819,f816,f140,f4120]) ).

fof(f4120,plain,
    ( spl0_280
  <=> ! [X7,X2,X3,X10,X0,X11,X1,X8,X6,X9,X16,X14,X4,X15,X5,X12,X13] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),equivalent(X1,X2)),X3),X3),equivalent(equivalent(equivalent(equivalent(equivalent(X4,X5),equivalent(X4,X6)),equivalent(X5,X6)),X7),X7)),equivalent(equivalent(equivalent(equivalent(equivalent(X8,X9),equivalent(X8,X10)),equivalent(X9,X10)),X11),X11)),equivalent(equivalent(equivalent(equivalent(X12,X13),X14),X15),equivalent(equivalent(equivalent(X12,X16),X14),equivalent(equivalent(X13,X16),X15))))),true,true,true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_280])]) ).

fof(f819,plain,
    ( ! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X14,X4,X16,X15,X5,X12,X13] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),equivalent(X1,X2)),X3),X3),equivalent(equivalent(equivalent(equivalent(equivalent(X4,X5),equivalent(X4,X6)),equivalent(X5,X6)),X7),X7)),equivalent(equivalent(equivalent(equivalent(equivalent(X8,X9),equivalent(X8,X10)),equivalent(X9,X10)),X11),X11)),equivalent(equivalent(equivalent(equivalent(X12,X13),X14),X15),equivalent(equivalent(equivalent(X12,X16),X14),equivalent(equivalent(X13,X16),X15))))),true,true,true)
    | ~ spl0_16
    | ~ spl0_74 ),
    inference(superposition,[],[f141,f817]) ).

fof(f4083,plain,
    ( spl0_279
    | ~ spl0_3
    | ~ spl0_146 ),
    inference(avatar_split_clause,[],[f1784,f1707,f17,f4081]) ).

fof(f4081,plain,
    ( spl0_279
  <=> ! [X0,X1] : true = ifeq(is_a_theorem(equivalent(X1,equivalent(X0,X0))),true,ifeq(is_a_theorem(X1),true,true,true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_279])]) ).

fof(f1707,plain,
    ( spl0_146
  <=> ! [X0] : true = is_a_theorem(equivalent(X0,X0)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_146])]) ).

fof(f1784,plain,
    ( ! [X0,X1] : true = ifeq(is_a_theorem(equivalent(X1,equivalent(X0,X0))),true,ifeq(is_a_theorem(X1),true,true,true),true)
    | ~ spl0_3
    | ~ spl0_146 ),
    inference(superposition,[],[f18,f1708]) ).

fof(f1708,plain,
    ( ! [X0] : true = is_a_theorem(equivalent(X0,X0))
    | ~ spl0_146 ),
    inference(avatar_component_clause,[],[f1707]) ).

fof(f4039,plain,
    ( spl0_278
    | ~ spl0_9
    | ~ spl0_74 ),
    inference(avatar_split_clause,[],[f821,f816,f66,f4037]) ).

fof(f4037,plain,
    ( spl0_278
  <=> ! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X14,X4,X15,X5,X12,X13] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),equivalent(X1,X2)),X3),X3),equivalent(equivalent(equivalent(equivalent(equivalent(X4,X5),equivalent(X4,X6)),equivalent(X5,X6)),X7),X7)),equivalent(equivalent(equivalent(equivalent(equivalent(X8,X9),equivalent(X8,X10)),equivalent(X9,X10)),X11),X11)),equivalent(equivalent(equivalent(equivalent(equivalent(X12,X13),equivalent(X12,X14)),equivalent(X13,X14)),X15),X15))),true,true,true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_278])]) ).

fof(f821,plain,
    ( ! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X14,X4,X15,X5,X12,X13] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),equivalent(X1,X2)),X3),X3),equivalent(equivalent(equivalent(equivalent(equivalent(X4,X5),equivalent(X4,X6)),equivalent(X5,X6)),X7),X7)),equivalent(equivalent(equivalent(equivalent(equivalent(X8,X9),equivalent(X8,X10)),equivalent(X9,X10)),X11),X11)),equivalent(equivalent(equivalent(equivalent(equivalent(X12,X13),equivalent(X12,X14)),equivalent(X13,X14)),X15),X15))),true,true,true)
    | ~ spl0_9
    | ~ spl0_74 ),
    inference(superposition,[],[f67,f817]) ).

fof(f4035,plain,
    ( spl0_277
    | ~ spl0_15
    | ~ spl0_73 ),
    inference(avatar_split_clause,[],[f813,f780,f136,f4033]) ).

fof(f4033,plain,
    ( spl0_277
  <=> ! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X14,X4,X15,X5,X12,X13] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),X2),X3),equivalent(equivalent(equivalent(X0,X4),X2),equivalent(equivalent(X1,X4),X3))),X5),X5),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X6,X7),equivalent(X6,X8)),X9),equivalent(equivalent(X7,X8),X9)),X10),X10)),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X11,X12),equivalent(X11,X13)),X14),equivalent(equivalent(X12,X13),X14)),X15),X15))),true,true,true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_277])]) ).

fof(f780,plain,
    ( spl0_73
  <=> ! [X2,X3,X10,X0,X1,X8,X6,X9,X7,X4,X5] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),X2),X3),equivalent(equivalent(equivalent(X0,X4),X2),equivalent(equivalent(X1,X4),X3))),X5),X5),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X6,X7),equivalent(X6,X8)),X9),equivalent(equivalent(X7,X8),X9)),X10),X10))),true,true,true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_73])]) ).

fof(f813,plain,
    ( ! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X14,X4,X15,X5,X12,X13] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),X2),X3),equivalent(equivalent(equivalent(X0,X4),X2),equivalent(equivalent(X1,X4),X3))),X5),X5),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X6,X7),equivalent(X6,X8)),X9),equivalent(equivalent(X7,X8),X9)),X10),X10)),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X11,X12),equivalent(X11,X13)),X14),equivalent(equivalent(X12,X13),X14)),X15),X15))),true,true,true)
    | ~ spl0_15
    | ~ spl0_73 ),
    inference(superposition,[],[f137,f781]) ).

fof(f781,plain,
    ( ! [X2,X3,X10,X0,X1,X8,X6,X9,X7,X4,X5] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),X2),X3),equivalent(equivalent(equivalent(X0,X4),X2),equivalent(equivalent(X1,X4),X3))),X5),X5),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X6,X7),equivalent(X6,X8)),X9),equivalent(equivalent(X7,X8),X9)),X10),X10))),true,true,true)
    | ~ spl0_73 ),
    inference(avatar_component_clause,[],[f780]) ).

fof(f4031,plain,
    ( spl0_276
    | ~ spl0_16
    | ~ spl0_73 ),
    inference(avatar_split_clause,[],[f812,f780,f140,f4029]) ).

fof(f4029,plain,
    ( spl0_276
  <=> ! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X14,X4,X15,X5,X12,X13] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),X2),X3),equivalent(equivalent(equivalent(X0,X4),X2),equivalent(equivalent(X1,X4),X3))),X5),X5),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X6,X7),equivalent(X6,X8)),X9),equivalent(equivalent(X7,X8),X9)),X10),X10)),equivalent(equivalent(equivalent(equivalent(X11,X12),X13),X14),equivalent(equivalent(equivalent(X11,X15),X13),equivalent(equivalent(X12,X15),X14))))),true,true,true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_276])]) ).

fof(f812,plain,
    ( ! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X14,X4,X15,X5,X12,X13] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),X2),X3),equivalent(equivalent(equivalent(X0,X4),X2),equivalent(equivalent(X1,X4),X3))),X5),X5),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X6,X7),equivalent(X6,X8)),X9),equivalent(equivalent(X7,X8),X9)),X10),X10)),equivalent(equivalent(equivalent(equivalent(X11,X12),X13),X14),equivalent(equivalent(equivalent(X11,X15),X13),equivalent(equivalent(X12,X15),X14))))),true,true,true)
    | ~ spl0_16
    | ~ spl0_73 ),
    inference(superposition,[],[f141,f781]) ).

fof(f4027,plain,
    ( spl0_275
    | ~ spl0_15
    | ~ spl0_72 ),
    inference(avatar_split_clause,[],[f810,f776,f136,f4025]) ).

fof(f4025,plain,
    ( spl0_275
  <=> ! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X14,X4,X15,X5,X12,X13] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),X2),X3),equivalent(equivalent(equivalent(X0,X4),X2),equivalent(equivalent(X1,X4),X3))),X5),X5),equivalent(equivalent(equivalent(equivalent(X6,X7),X8),X9),equivalent(equivalent(equivalent(X6,X10),X8),equivalent(equivalent(X7,X10),X9)))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X11,X12),equivalent(X11,X13)),X14),equivalent(equivalent(X12,X13),X14)),X15),X15))),true,true,true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_275])]) ).

fof(f776,plain,
    ( spl0_72
  <=> ! [X2,X3,X10,X0,X1,X8,X6,X9,X7,X4,X5] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),X2),X3),equivalent(equivalent(equivalent(X0,X4),X2),equivalent(equivalent(X1,X4),X3))),X5),X5),equivalent(equivalent(equivalent(equivalent(X6,X7),X8),X9),equivalent(equivalent(equivalent(X6,X10),X8),equivalent(equivalent(X7,X10),X9))))),true,true,true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_72])]) ).

fof(f810,plain,
    ( ! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X14,X4,X15,X5,X12,X13] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),X2),X3),equivalent(equivalent(equivalent(X0,X4),X2),equivalent(equivalent(X1,X4),X3))),X5),X5),equivalent(equivalent(equivalent(equivalent(X6,X7),X8),X9),equivalent(equivalent(equivalent(X6,X10),X8),equivalent(equivalent(X7,X10),X9)))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X11,X12),equivalent(X11,X13)),X14),equivalent(equivalent(X12,X13),X14)),X15),X15))),true,true,true)
    | ~ spl0_15
    | ~ spl0_72 ),
    inference(superposition,[],[f137,f777]) ).

fof(f777,plain,
    ( ! [X2,X3,X10,X0,X1,X8,X6,X9,X7,X4,X5] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),X2),X3),equivalent(equivalent(equivalent(X0,X4),X2),equivalent(equivalent(X1,X4),X3))),X5),X5),equivalent(equivalent(equivalent(equivalent(X6,X7),X8),X9),equivalent(equivalent(equivalent(X6,X10),X8),equivalent(equivalent(X7,X10),X9))))),true,true,true)
    | ~ spl0_72 ),
    inference(avatar_component_clause,[],[f776]) ).

fof(f4023,plain,
    ( spl0_274
    | ~ spl0_16
    | ~ spl0_72 ),
    inference(avatar_split_clause,[],[f809,f776,f140,f4021]) ).

fof(f4021,plain,
    ( spl0_274
  <=> ! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X14,X4,X15,X5,X12,X13] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),X2),X3),equivalent(equivalent(equivalent(X0,X4),X2),equivalent(equivalent(X1,X4),X3))),X5),X5),equivalent(equivalent(equivalent(equivalent(X6,X7),X8),X9),equivalent(equivalent(equivalent(X6,X10),X8),equivalent(equivalent(X7,X10),X9)))),equivalent(equivalent(equivalent(equivalent(X11,X12),X13),X14),equivalent(equivalent(equivalent(X11,X15),X13),equivalent(equivalent(X12,X15),X14))))),true,true,true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_274])]) ).

fof(f809,plain,
    ( ! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X14,X4,X15,X5,X12,X13] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),X2),X3),equivalent(equivalent(equivalent(X0,X4),X2),equivalent(equivalent(X1,X4),X3))),X5),X5),equivalent(equivalent(equivalent(equivalent(X6,X7),X8),X9),equivalent(equivalent(equivalent(X6,X10),X8),equivalent(equivalent(X7,X10),X9)))),equivalent(equivalent(equivalent(equivalent(X11,X12),X13),X14),equivalent(equivalent(equivalent(X11,X15),X13),equivalent(equivalent(X12,X15),X14))))),true,true,true)
    | ~ spl0_16
    | ~ spl0_72 ),
    inference(superposition,[],[f141,f777]) ).

fof(f3937,plain,
    ( spl0_273
    | ~ spl0_15
    | ~ spl0_71 ),
    inference(avatar_split_clause,[],[f807,f772,f136,f3935]) ).

fof(f3935,plain,
    ( spl0_273
  <=> ! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X14,X4,X15,X5,X12,X13] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),X3),equivalent(equivalent(X1,X2),X3)),X4),X4),X5),X5),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X6,X7),equivalent(X6,X8)),X9),equivalent(equivalent(X7,X8),X9)),X10),X10)),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X11,X12),equivalent(X11,X13)),X14),equivalent(equivalent(X12,X13),X14)),X15),X15))),true,true,true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_273])]) ).

fof(f772,plain,
    ( spl0_71
  <=> ! [X2,X3,X10,X0,X1,X8,X6,X9,X7,X4,X5] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),X3),equivalent(equivalent(X1,X2),X3)),X4),X4),X5),X5),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X6,X7),equivalent(X6,X8)),X9),equivalent(equivalent(X7,X8),X9)),X10),X10))),true,true,true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_71])]) ).

fof(f807,plain,
    ( ! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X14,X4,X15,X5,X12,X13] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),X3),equivalent(equivalent(X1,X2),X3)),X4),X4),X5),X5),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X6,X7),equivalent(X6,X8)),X9),equivalent(equivalent(X7,X8),X9)),X10),X10)),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X11,X12),equivalent(X11,X13)),X14),equivalent(equivalent(X12,X13),X14)),X15),X15))),true,true,true)
    | ~ spl0_15
    | ~ spl0_71 ),
    inference(superposition,[],[f137,f773]) ).

fof(f773,plain,
    ( ! [X2,X3,X10,X0,X1,X8,X6,X9,X7,X4,X5] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),X3),equivalent(equivalent(X1,X2),X3)),X4),X4),X5),X5),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X6,X7),equivalent(X6,X8)),X9),equivalent(equivalent(X7,X8),X9)),X10),X10))),true,true,true)
    | ~ spl0_71 ),
    inference(avatar_component_clause,[],[f772]) ).

fof(f3933,plain,
    ( spl0_272
    | ~ spl0_16
    | ~ spl0_71 ),
    inference(avatar_split_clause,[],[f806,f772,f140,f3931]) ).

fof(f3931,plain,
    ( spl0_272
  <=> ! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X14,X4,X15,X5,X12,X13] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),X3),equivalent(equivalent(X1,X2),X3)),X4),X4),X5),X5),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X6,X7),equivalent(X6,X8)),X9),equivalent(equivalent(X7,X8),X9)),X10),X10)),equivalent(equivalent(equivalent(equivalent(X11,X12),X13),X14),equivalent(equivalent(equivalent(X11,X15),X13),equivalent(equivalent(X12,X15),X14))))),true,true,true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_272])]) ).

fof(f806,plain,
    ( ! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X14,X4,X15,X5,X12,X13] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),X3),equivalent(equivalent(X1,X2),X3)),X4),X4),X5),X5),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X6,X7),equivalent(X6,X8)),X9),equivalent(equivalent(X7,X8),X9)),X10),X10)),equivalent(equivalent(equivalent(equivalent(X11,X12),X13),X14),equivalent(equivalent(equivalent(X11,X15),X13),equivalent(equivalent(X12,X15),X14))))),true,true,true)
    | ~ spl0_16
    | ~ spl0_71 ),
    inference(superposition,[],[f141,f773]) ).

fof(f3929,plain,
    ( spl0_271
    | ~ spl0_15
    | ~ spl0_70 ),
    inference(avatar_split_clause,[],[f784,f768,f136,f3927]) ).

fof(f3927,plain,
    ( spl0_271
  <=> ! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X14,X4,X15,X5,X12,X13] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),X3),equivalent(equivalent(X1,X2),X3)),X4),X4),X5),X5),equivalent(equivalent(equivalent(equivalent(X6,X7),X8),X9),equivalent(equivalent(equivalent(X6,X10),X8),equivalent(equivalent(X7,X10),X9)))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X11,X12),equivalent(X11,X13)),X14),equivalent(equivalent(X12,X13),X14)),X15),X15))),true,true,true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_271])]) ).

fof(f768,plain,
    ( spl0_70
  <=> ! [X2,X3,X10,X0,X1,X8,X6,X9,X7,X4,X5] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),X3),equivalent(equivalent(X1,X2),X3)),X4),X4),X5),X5),equivalent(equivalent(equivalent(equivalent(X6,X7),X8),X9),equivalent(equivalent(equivalent(X6,X10),X8),equivalent(equivalent(X7,X10),X9))))),true,true,true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_70])]) ).

fof(f784,plain,
    ( ! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X14,X4,X15,X5,X12,X13] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),X3),equivalent(equivalent(X1,X2),X3)),X4),X4),X5),X5),equivalent(equivalent(equivalent(equivalent(X6,X7),X8),X9),equivalent(equivalent(equivalent(X6,X10),X8),equivalent(equivalent(X7,X10),X9)))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X11,X12),equivalent(X11,X13)),X14),equivalent(equivalent(X12,X13),X14)),X15),X15))),true,true,true)
    | ~ spl0_15
    | ~ spl0_70 ),
    inference(superposition,[],[f137,f769]) ).

fof(f769,plain,
    ( ! [X2,X3,X10,X0,X1,X8,X6,X9,X7,X4,X5] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),X3),equivalent(equivalent(X1,X2),X3)),X4),X4),X5),X5),equivalent(equivalent(equivalent(equivalent(X6,X7),X8),X9),equivalent(equivalent(equivalent(X6,X10),X8),equivalent(equivalent(X7,X10),X9))))),true,true,true)
    | ~ spl0_70 ),
    inference(avatar_component_clause,[],[f768]) ).

fof(f3925,plain,
    ( spl0_270
    | ~ spl0_16
    | ~ spl0_70 ),
    inference(avatar_split_clause,[],[f783,f768,f140,f3923]) ).

fof(f3923,plain,
    ( spl0_270
  <=> ! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X14,X4,X15,X5,X12,X13] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),X3),equivalent(equivalent(X1,X2),X3)),X4),X4),X5),X5),equivalent(equivalent(equivalent(equivalent(X6,X7),X8),X9),equivalent(equivalent(equivalent(X6,X10),X8),equivalent(equivalent(X7,X10),X9)))),equivalent(equivalent(equivalent(equivalent(X11,X12),X13),X14),equivalent(equivalent(equivalent(X11,X15),X13),equivalent(equivalent(X12,X15),X14))))),true,true,true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_270])]) ).

fof(f783,plain,
    ( ! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X14,X4,X15,X5,X12,X13] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),X3),equivalent(equivalent(X1,X2),X3)),X4),X4),X5),X5),equivalent(equivalent(equivalent(equivalent(X6,X7),X8),X9),equivalent(equivalent(equivalent(X6,X10),X8),equivalent(equivalent(X7,X10),X9)))),equivalent(equivalent(equivalent(equivalent(X11,X12),X13),X14),equivalent(equivalent(equivalent(X11,X15),X13),equivalent(equivalent(X12,X15),X14))))),true,true,true)
    | ~ spl0_16
    | ~ spl0_70 ),
    inference(superposition,[],[f141,f769]) ).

fof(f3871,plain,
    ( spl0_269
    | ~ spl0_2
    | ~ spl0_254 ),
    inference(avatar_split_clause,[],[f3802,f3657,f13,f3869]) ).

fof(f3657,plain,
    ( spl0_254
  <=> ! [X0,X1] : true = ifeq(true,true,is_a_theorem(equivalent(equivalent(X1,X1),equivalent(X0,X0))),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_254])]) ).

fof(f3802,plain,
    ( ! [X0,X1] : true = is_a_theorem(equivalent(equivalent(X0,X0),equivalent(X1,X1)))
    | ~ spl0_2
    | ~ spl0_254 ),
    inference(superposition,[],[f3658,f14]) ).

fof(f3658,plain,
    ( ! [X0,X1] : true = ifeq(true,true,is_a_theorem(equivalent(equivalent(X1,X1),equivalent(X0,X0))),true)
    | ~ spl0_254 ),
    inference(avatar_component_clause,[],[f3657]) ).

fof(f3819,plain,
    ( spl0_268
    | ~ spl0_9
    | ~ spl0_73 ),
    inference(avatar_split_clause,[],[f814,f780,f66,f3817]) ).

fof(f3817,plain,
    ( spl0_268
  <=> ! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X14,X4,X5,X12,X13] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),X2),X3),equivalent(equivalent(equivalent(X0,X4),X2),equivalent(equivalent(X1,X4),X3))),X5),X5),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X6,X7),equivalent(X6,X8)),X9),equivalent(equivalent(X7,X8),X9)),X10),X10)),equivalent(equivalent(equivalent(equivalent(equivalent(X11,X12),equivalent(X11,X13)),equivalent(X12,X13)),X14),X14))),true,true,true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_268])]) ).

fof(f814,plain,
    ( ! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X14,X4,X5,X12,X13] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),X2),X3),equivalent(equivalent(equivalent(X0,X4),X2),equivalent(equivalent(X1,X4),X3))),X5),X5),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X6,X7),equivalent(X6,X8)),X9),equivalent(equivalent(X7,X8),X9)),X10),X10)),equivalent(equivalent(equivalent(equivalent(equivalent(X11,X12),equivalent(X11,X13)),equivalent(X12,X13)),X14),X14))),true,true,true)
    | ~ spl0_9
    | ~ spl0_73 ),
    inference(superposition,[],[f67,f781]) ).

fof(f3815,plain,
    ( spl0_267
    | ~ spl0_9
    | ~ spl0_72 ),
    inference(avatar_split_clause,[],[f811,f776,f66,f3813]) ).

fof(f3813,plain,
    ( spl0_267
  <=> ! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X14,X4,X5,X12,X13] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),X2),X3),equivalent(equivalent(equivalent(X0,X4),X2),equivalent(equivalent(X1,X4),X3))),X5),X5),equivalent(equivalent(equivalent(equivalent(X6,X7),X8),X9),equivalent(equivalent(equivalent(X6,X10),X8),equivalent(equivalent(X7,X10),X9)))),equivalent(equivalent(equivalent(equivalent(equivalent(X11,X12),equivalent(X11,X13)),equivalent(X12,X13)),X14),X14))),true,true,true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_267])]) ).

fof(f811,plain,
    ( ! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X14,X4,X5,X12,X13] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),X2),X3),equivalent(equivalent(equivalent(X0,X4),X2),equivalent(equivalent(X1,X4),X3))),X5),X5),equivalent(equivalent(equivalent(equivalent(X6,X7),X8),X9),equivalent(equivalent(equivalent(X6,X10),X8),equivalent(equivalent(X7,X10),X9)))),equivalent(equivalent(equivalent(equivalent(equivalent(X11,X12),equivalent(X11,X13)),equivalent(X12,X13)),X14),X14))),true,true,true)
    | ~ spl0_9
    | ~ spl0_72 ),
    inference(superposition,[],[f67,f777]) ).

fof(f3811,plain,
    ( spl0_266
    | ~ spl0_9
    | ~ spl0_71 ),
    inference(avatar_split_clause,[],[f808,f772,f66,f3809]) ).

fof(f3809,plain,
    ( spl0_266
  <=> ! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X14,X4,X5,X12,X13] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),X3),equivalent(equivalent(X1,X2),X3)),X4),X4),X5),X5),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X6,X7),equivalent(X6,X8)),X9),equivalent(equivalent(X7,X8),X9)),X10),X10)),equivalent(equivalent(equivalent(equivalent(equivalent(X11,X12),equivalent(X11,X13)),equivalent(X12,X13)),X14),X14))),true,true,true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_266])]) ).

fof(f808,plain,
    ( ! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X14,X4,X5,X12,X13] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),X3),equivalent(equivalent(X1,X2),X3)),X4),X4),X5),X5),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X6,X7),equivalent(X6,X8)),X9),equivalent(equivalent(X7,X8),X9)),X10),X10)),equivalent(equivalent(equivalent(equivalent(equivalent(X11,X12),equivalent(X11,X13)),equivalent(X12,X13)),X14),X14))),true,true,true)
    | ~ spl0_9
    | ~ spl0_71 ),
    inference(superposition,[],[f67,f773]) ).

fof(f3807,plain,
    ( spl0_265
    | ~ spl0_9
    | ~ spl0_70 ),
    inference(avatar_split_clause,[],[f785,f768,f66,f3805]) ).

fof(f3805,plain,
    ( spl0_265
  <=> ! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X14,X4,X5,X12,X13] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),X3),equivalent(equivalent(X1,X2),X3)),X4),X4),X5),X5),equivalent(equivalent(equivalent(equivalent(X6,X7),X8),X9),equivalent(equivalent(equivalent(X6,X10),X8),equivalent(equivalent(X7,X10),X9)))),equivalent(equivalent(equivalent(equivalent(equivalent(X11,X12),equivalent(X11,X13)),equivalent(X12,X13)),X14),X14))),true,true,true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_265])]) ).

fof(f785,plain,
    ( ! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X14,X4,X5,X12,X13] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),X3),equivalent(equivalent(X1,X2),X3)),X4),X4),X5),X5),equivalent(equivalent(equivalent(equivalent(X6,X7),X8),X9),equivalent(equivalent(equivalent(X6,X10),X8),equivalent(equivalent(X7,X10),X9)))),equivalent(equivalent(equivalent(equivalent(equivalent(X11,X12),equivalent(X11,X13)),equivalent(X12,X13)),X14),X14))),true,true,true)
    | ~ spl0_9
    | ~ spl0_70 ),
    inference(superposition,[],[f67,f769]) ).

fof(f3796,plain,
    ( spl0_264
    | ~ spl0_15
    | ~ spl0_69 ),
    inference(avatar_split_clause,[],[f765,f752,f136,f3794]) ).

fof(f3794,plain,
    ( spl0_264
  <=> ! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X14,X4,X5,X12,X13] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),X2),X3),equivalent(equivalent(equivalent(X0,X4),X2),equivalent(equivalent(X1,X4),X3))),X5),X5),equivalent(equivalent(equivalent(equivalent(equivalent(X6,X7),equivalent(X6,X8)),equivalent(X7,X8)),X9),X9)),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X10,X11),equivalent(X10,X12)),X13),equivalent(equivalent(X11,X12),X13)),X14),X14))),true,true,true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_264])]) ).

fof(f752,plain,
    ( spl0_69
  <=> ! [X2,X3,X0,X1,X8,X6,X9,X7,X4,X5] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),X2),X3),equivalent(equivalent(equivalent(X0,X4),X2),equivalent(equivalent(X1,X4),X3))),X5),X5),equivalent(equivalent(equivalent(equivalent(equivalent(X6,X7),equivalent(X6,X8)),equivalent(X7,X8)),X9),X9))),true,true,true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_69])]) ).

fof(f765,plain,
    ( ! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X14,X4,X5,X12,X13] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),X2),X3),equivalent(equivalent(equivalent(X0,X4),X2),equivalent(equivalent(X1,X4),X3))),X5),X5),equivalent(equivalent(equivalent(equivalent(equivalent(X6,X7),equivalent(X6,X8)),equivalent(X7,X8)),X9),X9)),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X10,X11),equivalent(X10,X12)),X13),equivalent(equivalent(X11,X12),X13)),X14),X14))),true,true,true)
    | ~ spl0_15
    | ~ spl0_69 ),
    inference(superposition,[],[f137,f753]) ).

fof(f753,plain,
    ( ! [X2,X3,X0,X1,X8,X6,X9,X7,X4,X5] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),X2),X3),equivalent(equivalent(equivalent(X0,X4),X2),equivalent(equivalent(X1,X4),X3))),X5),X5),equivalent(equivalent(equivalent(equivalent(equivalent(X6,X7),equivalent(X6,X8)),equivalent(X7,X8)),X9),X9))),true,true,true)
    | ~ spl0_69 ),
    inference(avatar_component_clause,[],[f752]) ).

fof(f3792,plain,
    ( spl0_263
    | ~ spl0_16
    | ~ spl0_69 ),
    inference(avatar_split_clause,[],[f764,f752,f140,f3790]) ).

fof(f3790,plain,
    ( spl0_263
  <=> ! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X14,X4,X5,X12,X13] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),X2),X3),equivalent(equivalent(equivalent(X0,X4),X2),equivalent(equivalent(X1,X4),X3))),X5),X5),equivalent(equivalent(equivalent(equivalent(equivalent(X6,X7),equivalent(X6,X8)),equivalent(X7,X8)),X9),X9)),equivalent(equivalent(equivalent(equivalent(X10,X11),X12),X13),equivalent(equivalent(equivalent(X10,X14),X12),equivalent(equivalent(X11,X14),X13))))),true,true,true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_263])]) ).

fof(f764,plain,
    ( ! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X14,X4,X5,X12,X13] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),X2),X3),equivalent(equivalent(equivalent(X0,X4),X2),equivalent(equivalent(X1,X4),X3))),X5),X5),equivalent(equivalent(equivalent(equivalent(equivalent(X6,X7),equivalent(X6,X8)),equivalent(X7,X8)),X9),X9)),equivalent(equivalent(equivalent(equivalent(X10,X11),X12),X13),equivalent(equivalent(equivalent(X10,X14),X12),equivalent(equivalent(X11,X14),X13))))),true,true,true)
    | ~ spl0_16
    | ~ spl0_69 ),
    inference(superposition,[],[f141,f753]) ).

fof(f3788,plain,
    ( spl0_262
    | ~ spl0_15
    | ~ spl0_68 ),
    inference(avatar_split_clause,[],[f762,f736,f136,f3786]) ).

fof(f3786,plain,
    ( spl0_262
  <=> ! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X14,X4,X5,X12,X13] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),X3),equivalent(equivalent(X1,X2),X3)),X4),X4),X5),X5),equivalent(equivalent(equivalent(equivalent(equivalent(X6,X7),equivalent(X6,X8)),equivalent(X7,X8)),X9),X9)),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X10,X11),equivalent(X10,X12)),X13),equivalent(equivalent(X11,X12),X13)),X14),X14))),true,true,true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_262])]) ).

fof(f736,plain,
    ( spl0_68
  <=> ! [X2,X3,X0,X1,X8,X6,X9,X7,X4,X5] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),X3),equivalent(equivalent(X1,X2),X3)),X4),X4),X5),X5),equivalent(equivalent(equivalent(equivalent(equivalent(X6,X7),equivalent(X6,X8)),equivalent(X7,X8)),X9),X9))),true,true,true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_68])]) ).

fof(f762,plain,
    ( ! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X14,X4,X5,X12,X13] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),X3),equivalent(equivalent(X1,X2),X3)),X4),X4),X5),X5),equivalent(equivalent(equivalent(equivalent(equivalent(X6,X7),equivalent(X6,X8)),equivalent(X7,X8)),X9),X9)),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X10,X11),equivalent(X10,X12)),X13),equivalent(equivalent(X11,X12),X13)),X14),X14))),true,true,true)
    | ~ spl0_15
    | ~ spl0_68 ),
    inference(superposition,[],[f137,f737]) ).

fof(f737,plain,
    ( ! [X2,X3,X0,X1,X8,X6,X9,X7,X4,X5] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),X3),equivalent(equivalent(X1,X2),X3)),X4),X4),X5),X5),equivalent(equivalent(equivalent(equivalent(equivalent(X6,X7),equivalent(X6,X8)),equivalent(X7,X8)),X9),X9))),true,true,true)
    | ~ spl0_68 ),
    inference(avatar_component_clause,[],[f736]) ).

fof(f3784,plain,
    ( spl0_261
    | ~ spl0_16
    | ~ spl0_68 ),
    inference(avatar_split_clause,[],[f761,f736,f140,f3782]) ).

fof(f3782,plain,
    ( spl0_261
  <=> ! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X14,X4,X5,X12,X13] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),X3),equivalent(equivalent(X1,X2),X3)),X4),X4),X5),X5),equivalent(equivalent(equivalent(equivalent(equivalent(X6,X7),equivalent(X6,X8)),equivalent(X7,X8)),X9),X9)),equivalent(equivalent(equivalent(equivalent(X10,X11),X12),X13),equivalent(equivalent(equivalent(X10,X14),X12),equivalent(equivalent(X11,X14),X13))))),true,true,true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_261])]) ).

fof(f761,plain,
    ( ! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X14,X4,X5,X12,X13] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),X3),equivalent(equivalent(X1,X2),X3)),X4),X4),X5),X5),equivalent(equivalent(equivalent(equivalent(equivalent(X6,X7),equivalent(X6,X8)),equivalent(X7,X8)),X9),X9)),equivalent(equivalent(equivalent(equivalent(X10,X11),X12),X13),equivalent(equivalent(equivalent(X10,X14),X12),equivalent(equivalent(X11,X14),X13))))),true,true,true)
    | ~ spl0_16
    | ~ spl0_68 ),
    inference(superposition,[],[f141,f737]) ).

fof(f3780,plain,
    ( spl0_260
    | ~ spl0_15
    | ~ spl0_67 ),
    inference(avatar_split_clause,[],[f759,f732,f136,f3778]) ).

fof(f3778,plain,
    ( spl0_260
  <=> ! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X14,X4,X5,X12,X13] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),equivalent(X1,X2)),X3),X3),X4),X4),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X5,X6),equivalent(X5,X7)),X8),equivalent(equivalent(X6,X7),X8)),X9),X9)),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X10,X11),equivalent(X10,X12)),X13),equivalent(equivalent(X11,X12),X13)),X14),X14))),true,true,true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_260])]) ).

fof(f732,plain,
    ( spl0_67
  <=> ! [X2,X3,X0,X1,X8,X6,X9,X7,X4,X5] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),equivalent(X1,X2)),X3),X3),X4),X4),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X5,X6),equivalent(X5,X7)),X8),equivalent(equivalent(X6,X7),X8)),X9),X9))),true,true,true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_67])]) ).

fof(f759,plain,
    ( ! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X14,X4,X5,X12,X13] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),equivalent(X1,X2)),X3),X3),X4),X4),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X5,X6),equivalent(X5,X7)),X8),equivalent(equivalent(X6,X7),X8)),X9),X9)),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X10,X11),equivalent(X10,X12)),X13),equivalent(equivalent(X11,X12),X13)),X14),X14))),true,true,true)
    | ~ spl0_15
    | ~ spl0_67 ),
    inference(superposition,[],[f137,f733]) ).

fof(f733,plain,
    ( ! [X2,X3,X0,X1,X8,X6,X9,X7,X4,X5] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),equivalent(X1,X2)),X3),X3),X4),X4),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X5,X6),equivalent(X5,X7)),X8),equivalent(equivalent(X6,X7),X8)),X9),X9))),true,true,true)
    | ~ spl0_67 ),
    inference(avatar_component_clause,[],[f732]) ).

fof(f3776,plain,
    ( spl0_259
    | ~ spl0_16
    | ~ spl0_67 ),
    inference(avatar_split_clause,[],[f758,f732,f140,f3774]) ).

fof(f3774,plain,
    ( spl0_259
  <=> ! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X14,X4,X5,X12,X13] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),equivalent(X1,X2)),X3),X3),X4),X4),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X5,X6),equivalent(X5,X7)),X8),equivalent(equivalent(X6,X7),X8)),X9),X9)),equivalent(equivalent(equivalent(equivalent(X10,X11),X12),X13),equivalent(equivalent(equivalent(X10,X14),X12),equivalent(equivalent(X11,X14),X13))))),true,true,true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_259])]) ).

fof(f758,plain,
    ( ! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X14,X4,X5,X12,X13] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),equivalent(X1,X2)),X3),X3),X4),X4),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X5,X6),equivalent(X5,X7)),X8),equivalent(equivalent(X6,X7),X8)),X9),X9)),equivalent(equivalent(equivalent(equivalent(X10,X11),X12),X13),equivalent(equivalent(equivalent(X10,X14),X12),equivalent(equivalent(X11,X14),X13))))),true,true,true)
    | ~ spl0_16
    | ~ spl0_67 ),
    inference(superposition,[],[f141,f733]) ).

fof(f3772,plain,
    ( spl0_258
    | ~ spl0_15
    | ~ spl0_66 ),
    inference(avatar_split_clause,[],[f756,f728,f136,f3770]) ).

fof(f3770,plain,
    ( spl0_258
  <=> ! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X14,X4,X5,X12,X13] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),equivalent(X1,X2)),X3),X3),X4),X4),equivalent(equivalent(equivalent(equivalent(X5,X6),X7),X8),equivalent(equivalent(equivalent(X5,X9),X7),equivalent(equivalent(X6,X9),X8)))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X10,X11),equivalent(X10,X12)),X13),equivalent(equivalent(X11,X12),X13)),X14),X14))),true,true,true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_258])]) ).

fof(f728,plain,
    ( spl0_66
  <=> ! [X2,X3,X0,X1,X8,X6,X9,X7,X4,X5] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),equivalent(X1,X2)),X3),X3),X4),X4),equivalent(equivalent(equivalent(equivalent(X5,X6),X7),X8),equivalent(equivalent(equivalent(X5,X9),X7),equivalent(equivalent(X6,X9),X8))))),true,true,true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_66])]) ).

fof(f756,plain,
    ( ! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X14,X4,X5,X12,X13] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),equivalent(X1,X2)),X3),X3),X4),X4),equivalent(equivalent(equivalent(equivalent(X5,X6),X7),X8),equivalent(equivalent(equivalent(X5,X9),X7),equivalent(equivalent(X6,X9),X8)))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X10,X11),equivalent(X10,X12)),X13),equivalent(equivalent(X11,X12),X13)),X14),X14))),true,true,true)
    | ~ spl0_15
    | ~ spl0_66 ),
    inference(superposition,[],[f137,f729]) ).

fof(f729,plain,
    ( ! [X2,X3,X0,X1,X8,X6,X9,X7,X4,X5] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),equivalent(X1,X2)),X3),X3),X4),X4),equivalent(equivalent(equivalent(equivalent(X5,X6),X7),X8),equivalent(equivalent(equivalent(X5,X9),X7),equivalent(equivalent(X6,X9),X8))))),true,true,true)
    | ~ spl0_66 ),
    inference(avatar_component_clause,[],[f728]) ).

fof(f3768,plain,
    ( spl0_257
    | ~ spl0_16
    | ~ spl0_66 ),
    inference(avatar_split_clause,[],[f755,f728,f140,f3766]) ).

fof(f3766,plain,
    ( spl0_257
  <=> ! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X14,X4,X5,X12,X13] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),equivalent(X1,X2)),X3),X3),X4),X4),equivalent(equivalent(equivalent(equivalent(X5,X6),X7),X8),equivalent(equivalent(equivalent(X5,X9),X7),equivalent(equivalent(X6,X9),X8)))),equivalent(equivalent(equivalent(equivalent(X10,X11),X12),X13),equivalent(equivalent(equivalent(X10,X14),X12),equivalent(equivalent(X11,X14),X13))))),true,true,true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_257])]) ).

fof(f755,plain,
    ( ! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X14,X4,X5,X12,X13] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),equivalent(X1,X2)),X3),X3),X4),X4),equivalent(equivalent(equivalent(equivalent(X5,X6),X7),X8),equivalent(equivalent(equivalent(X5,X9),X7),equivalent(equivalent(X6,X9),X8)))),equivalent(equivalent(equivalent(equivalent(X10,X11),X12),X13),equivalent(equivalent(equivalent(X10,X14),X12),equivalent(equivalent(X11,X14),X13))))),true,true,true)
    | ~ spl0_16
    | ~ spl0_66 ),
    inference(superposition,[],[f141,f729]) ).

fof(f3667,plain,
    ( spl0_256
    | ~ spl0_9
    | ~ spl0_69 ),
    inference(avatar_split_clause,[],[f766,f752,f66,f3665]) ).

fof(f3665,plain,
    ( spl0_256
  <=> ! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X4,X5,X12,X13] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),X2),X3),equivalent(equivalent(equivalent(X0,X4),X2),equivalent(equivalent(X1,X4),X3))),X5),X5),equivalent(equivalent(equivalent(equivalent(equivalent(X6,X7),equivalent(X6,X8)),equivalent(X7,X8)),X9),X9)),equivalent(equivalent(equivalent(equivalent(equivalent(X10,X11),equivalent(X10,X12)),equivalent(X11,X12)),X13),X13))),true,true,true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_256])]) ).

fof(f766,plain,
    ( ! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X4,X5,X12,X13] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),X2),X3),equivalent(equivalent(equivalent(X0,X4),X2),equivalent(equivalent(X1,X4),X3))),X5),X5),equivalent(equivalent(equivalent(equivalent(equivalent(X6,X7),equivalent(X6,X8)),equivalent(X7,X8)),X9),X9)),equivalent(equivalent(equivalent(equivalent(equivalent(X10,X11),equivalent(X10,X12)),equivalent(X11,X12)),X13),X13))),true,true,true)
    | ~ spl0_9
    | ~ spl0_69 ),
    inference(superposition,[],[f67,f753]) ).

fof(f3663,plain,
    ( spl0_255
    | ~ spl0_9
    | ~ spl0_68 ),
    inference(avatar_split_clause,[],[f763,f736,f66,f3661]) ).

fof(f3661,plain,
    ( spl0_255
  <=> ! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X4,X5,X12,X13] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),X3),equivalent(equivalent(X1,X2),X3)),X4),X4),X5),X5),equivalent(equivalent(equivalent(equivalent(equivalent(X6,X7),equivalent(X6,X8)),equivalent(X7,X8)),X9),X9)),equivalent(equivalent(equivalent(equivalent(equivalent(X10,X11),equivalent(X10,X12)),equivalent(X11,X12)),X13),X13))),true,true,true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_255])]) ).

fof(f763,plain,
    ( ! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X4,X5,X12,X13] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),X3),equivalent(equivalent(X1,X2),X3)),X4),X4),X5),X5),equivalent(equivalent(equivalent(equivalent(equivalent(X6,X7),equivalent(X6,X8)),equivalent(X7,X8)),X9),X9)),equivalent(equivalent(equivalent(equivalent(equivalent(X10,X11),equivalent(X10,X12)),equivalent(X11,X12)),X13),X13))),true,true,true)
    | ~ spl0_9
    | ~ spl0_68 ),
    inference(superposition,[],[f67,f737]) ).

fof(f3659,plain,
    ( spl0_254
    | ~ spl0_161
    | ~ spl0_216 ),
    inference(avatar_split_clause,[],[f3161,f3081,f2087,f3657]) ).

fof(f2087,plain,
    ( spl0_161
  <=> ! [X0,X1] : true = ifeq(is_a_theorem(equivalent(equivalent(X0,X0),X1)),true,is_a_theorem(X1),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_161])]) ).

fof(f3161,plain,
    ( ! [X0,X1] : true = ifeq(true,true,is_a_theorem(equivalent(equivalent(X1,X1),equivalent(X0,X0))),true)
    | ~ spl0_161
    | ~ spl0_216 ),
    inference(superposition,[],[f2088,f3082]) ).

fof(f2088,plain,
    ( ! [X0,X1] : true = ifeq(is_a_theorem(equivalent(equivalent(X0,X0),X1)),true,is_a_theorem(X1),true)
    | ~ spl0_161 ),
    inference(avatar_component_clause,[],[f2087]) ).

fof(f3655,plain,
    ( spl0_253
    | ~ spl0_9
    | ~ spl0_67 ),
    inference(avatar_split_clause,[],[f760,f732,f66,f3653]) ).

fof(f3653,plain,
    ( spl0_253
  <=> ! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X4,X5,X12,X13] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),equivalent(X1,X2)),X3),X3),X4),X4),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X5,X6),equivalent(X5,X7)),X8),equivalent(equivalent(X6,X7),X8)),X9),X9)),equivalent(equivalent(equivalent(equivalent(equivalent(X10,X11),equivalent(X10,X12)),equivalent(X11,X12)),X13),X13))),true,true,true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_253])]) ).

fof(f760,plain,
    ( ! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X4,X5,X12,X13] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),equivalent(X1,X2)),X3),X3),X4),X4),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X5,X6),equivalent(X5,X7)),X8),equivalent(equivalent(X6,X7),X8)),X9),X9)),equivalent(equivalent(equivalent(equivalent(equivalent(X10,X11),equivalent(X10,X12)),equivalent(X11,X12)),X13),X13))),true,true,true)
    | ~ spl0_9
    | ~ spl0_67 ),
    inference(superposition,[],[f67,f733]) ).

fof(f3651,plain,
    ( spl0_252
    | ~ spl0_9
    | ~ spl0_66 ),
    inference(avatar_split_clause,[],[f757,f728,f66,f3649]) ).

fof(f3649,plain,
    ( spl0_252
  <=> ! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X4,X5,X12,X13] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),equivalent(X1,X2)),X3),X3),X4),X4),equivalent(equivalent(equivalent(equivalent(X5,X6),X7),X8),equivalent(equivalent(equivalent(X5,X9),X7),equivalent(equivalent(X6,X9),X8)))),equivalent(equivalent(equivalent(equivalent(equivalent(X10,X11),equivalent(X10,X12)),equivalent(X11,X12)),X13),X13))),true,true,true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_252])]) ).

fof(f757,plain,
    ( ! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X4,X5,X12,X13] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),equivalent(X1,X2)),X3),X3),X4),X4),equivalent(equivalent(equivalent(equivalent(X5,X6),X7),X8),equivalent(equivalent(equivalent(X5,X9),X7),equivalent(equivalent(X6,X9),X8)))),equivalent(equivalent(equivalent(equivalent(equivalent(X10,X11),equivalent(X10,X12)),equivalent(X11,X12)),X13),X13))),true,true,true)
    | ~ spl0_9
    | ~ spl0_66 ),
    inference(superposition,[],[f67,f729]) ).

fof(f3647,plain,
    ( spl0_251
    | ~ spl0_15
    | ~ spl0_65 ),
    inference(avatar_split_clause,[],[f725,f713,f136,f3645]) ).

fof(f3645,plain,
    ( spl0_251
  <=> ! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X4,X5,X12,X13] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),equivalent(X1,X2)),X3),X3),X4),X4),equivalent(equivalent(equivalent(equivalent(equivalent(X5,X6),equivalent(X5,X7)),equivalent(X6,X7)),X8),X8)),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X9,X10),equivalent(X9,X11)),X12),equivalent(equivalent(X10,X11),X12)),X13),X13))),true,true,true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_251])]) ).

fof(f713,plain,
    ( spl0_65
  <=> ! [X2,X3,X0,X1,X8,X6,X7,X4,X5] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),equivalent(X1,X2)),X3),X3),X4),X4),equivalent(equivalent(equivalent(equivalent(equivalent(X5,X6),equivalent(X5,X7)),equivalent(X6,X7)),X8),X8))),true,true,true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_65])]) ).

fof(f725,plain,
    ( ! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X4,X5,X12,X13] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),equivalent(X1,X2)),X3),X3),X4),X4),equivalent(equivalent(equivalent(equivalent(equivalent(X5,X6),equivalent(X5,X7)),equivalent(X6,X7)),X8),X8)),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X9,X10),equivalent(X9,X11)),X12),equivalent(equivalent(X10,X11),X12)),X13),X13))),true,true,true)
    | ~ spl0_15
    | ~ spl0_65 ),
    inference(superposition,[],[f137,f714]) ).

fof(f714,plain,
    ( ! [X2,X3,X0,X1,X8,X6,X7,X4,X5] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),equivalent(X1,X2)),X3),X3),X4),X4),equivalent(equivalent(equivalent(equivalent(equivalent(X5,X6),equivalent(X5,X7)),equivalent(X6,X7)),X8),X8))),true,true,true)
    | ~ spl0_65 ),
    inference(avatar_component_clause,[],[f713]) ).

fof(f3643,plain,
    ( spl0_250
    | ~ spl0_16
    | ~ spl0_65 ),
    inference(avatar_split_clause,[],[f724,f713,f140,f3641]) ).

fof(f3641,plain,
    ( spl0_250
  <=> ! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X4,X5,X12,X13] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),equivalent(X1,X2)),X3),X3),X4),X4),equivalent(equivalent(equivalent(equivalent(equivalent(X5,X6),equivalent(X5,X7)),equivalent(X6,X7)),X8),X8)),equivalent(equivalent(equivalent(equivalent(X9,X10),X11),X12),equivalent(equivalent(equivalent(X9,X13),X11),equivalent(equivalent(X10,X13),X12))))),true,true,true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_250])]) ).

fof(f724,plain,
    ( ! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X4,X5,X12,X13] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),equivalent(X1,X2)),X3),X3),X4),X4),equivalent(equivalent(equivalent(equivalent(equivalent(X5,X6),equivalent(X5,X7)),equivalent(X6,X7)),X8),X8)),equivalent(equivalent(equivalent(equivalent(X9,X10),X11),X12),equivalent(equivalent(equivalent(X9,X13),X11),equivalent(equivalent(X10,X13),X12))))),true,true,true)
    | ~ spl0_16
    | ~ spl0_65 ),
    inference(superposition,[],[f141,f714]) ).

fof(f3639,plain,
    ( spl0_249
    | ~ spl0_15
    | ~ spl0_64 ),
    inference(avatar_split_clause,[],[f721,f709,f136,f3637]) ).

fof(f3637,plain,
    ( spl0_249
  <=> ! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X4,X5,X12,X13] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),X3),equivalent(equivalent(X1,X2),X3)),equivalent(equivalent(equivalent(equivalent(X4,X5),X6),X7),equivalent(equivalent(equivalent(X4,X8),X6),equivalent(equivalent(X5,X8),X7)))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X9,X10),equivalent(X9,X11)),X12),equivalent(equivalent(X10,X11),X12)),X13),X13))),true,true,true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_249])]) ).

fof(f709,plain,
    ( spl0_64
  <=> ! [X2,X3,X0,X1,X8,X6,X7,X4,X5] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X5,X6),equivalent(X5,X7)),X8),equivalent(equivalent(X6,X7),X8)),equivalent(equivalent(equivalent(equivalent(X0,X1),X2),X3),equivalent(equivalent(equivalent(X0,X4),X2),equivalent(equivalent(X1,X4),X3))))),true,true,true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_64])]) ).

fof(f721,plain,
    ( ! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X4,X5,X12,X13] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),X3),equivalent(equivalent(X1,X2),X3)),equivalent(equivalent(equivalent(equivalent(X4,X5),X6),X7),equivalent(equivalent(equivalent(X4,X8),X6),equivalent(equivalent(X5,X8),X7)))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X9,X10),equivalent(X9,X11)),X12),equivalent(equivalent(X10,X11),X12)),X13),X13))),true,true,true)
    | ~ spl0_15
    | ~ spl0_64 ),
    inference(superposition,[],[f137,f710]) ).

fof(f710,plain,
    ( ! [X2,X3,X0,X1,X8,X6,X7,X4,X5] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X5,X6),equivalent(X5,X7)),X8),equivalent(equivalent(X6,X7),X8)),equivalent(equivalent(equivalent(equivalent(X0,X1),X2),X3),equivalent(equivalent(equivalent(X0,X4),X2),equivalent(equivalent(X1,X4),X3))))),true,true,true)
    | ~ spl0_64 ),
    inference(avatar_component_clause,[],[f709]) ).

fof(f3635,plain,
    ( spl0_248
    | ~ spl0_16
    | ~ spl0_64 ),
    inference(avatar_split_clause,[],[f720,f709,f140,f3633]) ).

fof(f3633,plain,
    ( spl0_248
  <=> ! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X4,X5,X12,X13] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),X3),equivalent(equivalent(X1,X2),X3)),equivalent(equivalent(equivalent(equivalent(X4,X5),X6),X7),equivalent(equivalent(equivalent(X4,X8),X6),equivalent(equivalent(X5,X8),X7)))),equivalent(equivalent(equivalent(equivalent(X9,X10),X11),X12),equivalent(equivalent(equivalent(X9,X13),X11),equivalent(equivalent(X10,X13),X12))))),true,true,true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_248])]) ).

fof(f720,plain,
    ( ! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X4,X5,X12,X13] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),X3),equivalent(equivalent(X1,X2),X3)),equivalent(equivalent(equivalent(equivalent(X4,X5),X6),X7),equivalent(equivalent(equivalent(X4,X8),X6),equivalent(equivalent(X5,X8),X7)))),equivalent(equivalent(equivalent(equivalent(X9,X10),X11),X12),equivalent(equivalent(equivalent(X9,X13),X11),equivalent(equivalent(X10,X13),X12))))),true,true,true)
    | ~ spl0_16
    | ~ spl0_64 ),
    inference(superposition,[],[f141,f710]) ).

fof(f3631,plain,
    ( spl0_247
    | ~ spl0_15
    | ~ spl0_63 ),
    inference(avatar_split_clause,[],[f717,f705,f136,f3629]) ).

fof(f3629,plain,
    ( spl0_247
  <=> ! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X4,X5,X12,X13] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),X3),equivalent(equivalent(X1,X2),X3)),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X4,X5),equivalent(X4,X6)),X7),equivalent(equivalent(X5,X6),X7)),X8),X8)),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X9,X10),equivalent(X9,X11)),X12),equivalent(equivalent(X10,X11),X12)),X13),X13))),true,true,true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_247])]) ).

fof(f705,plain,
    ( spl0_63
  <=> ! [X2,X3,X0,X1,X8,X6,X7,X4,X5] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X5,X6),equivalent(X5,X7)),X8),equivalent(equivalent(X6,X7),X8)),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),X3),equivalent(equivalent(X1,X2),X3)),X4),X4))),true,true,true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_63])]) ).

fof(f717,plain,
    ( ! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X4,X5,X12,X13] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),X3),equivalent(equivalent(X1,X2),X3)),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X4,X5),equivalent(X4,X6)),X7),equivalent(equivalent(X5,X6),X7)),X8),X8)),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X9,X10),equivalent(X9,X11)),X12),equivalent(equivalent(X10,X11),X12)),X13),X13))),true,true,true)
    | ~ spl0_15
    | ~ spl0_63 ),
    inference(superposition,[],[f137,f706]) ).

fof(f706,plain,
    ( ! [X2,X3,X0,X1,X8,X6,X7,X4,X5] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X5,X6),equivalent(X5,X7)),X8),equivalent(equivalent(X6,X7),X8)),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),X3),equivalent(equivalent(X1,X2),X3)),X4),X4))),true,true,true)
    | ~ spl0_63 ),
    inference(avatar_component_clause,[],[f705]) ).

fof(f3627,plain,
    ( spl0_246
    | ~ spl0_16
    | ~ spl0_63 ),
    inference(avatar_split_clause,[],[f716,f705,f140,f3625]) ).

fof(f3625,plain,
    ( spl0_246
  <=> ! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X4,X5,X12,X13] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),X3),equivalent(equivalent(X1,X2),X3)),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X4,X5),equivalent(X4,X6)),X7),equivalent(equivalent(X5,X6),X7)),X8),X8)),equivalent(equivalent(equivalent(equivalent(X9,X10),X11),X12),equivalent(equivalent(equivalent(X9,X13),X11),equivalent(equivalent(X10,X13),X12))))),true,true,true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_246])]) ).

fof(f716,plain,
    ( ! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X4,X5,X12,X13] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),X3),equivalent(equivalent(X1,X2),X3)),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X4,X5),equivalent(X4,X6)),X7),equivalent(equivalent(X5,X6),X7)),X8),X8)),equivalent(equivalent(equivalent(equivalent(X9,X10),X11),X12),equivalent(equivalent(equivalent(X9,X13),X11),equivalent(equivalent(X10,X13),X12))))),true,true,true)
    | ~ spl0_16
    | ~ spl0_63 ),
    inference(superposition,[],[f141,f706]) ).

fof(f3605,plain,
    ( spl0_245
    | ~ spl0_146
    | ~ spl0_161 ),
    inference(avatar_split_clause,[],[f2509,f2087,f1707,f3603]) ).

fof(f3603,plain,
    ( spl0_245
  <=> ! [X0,X1] : true = ifeq(is_a_theorem(equivalent(equivalent(X1,X1),equivalent(X0,X0))),true,true,true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_245])]) ).

fof(f2509,plain,
    ( ! [X0,X1] : true = ifeq(is_a_theorem(equivalent(equivalent(X1,X1),equivalent(X0,X0))),true,true,true)
    | ~ spl0_146
    | ~ spl0_161 ),
    inference(superposition,[],[f2088,f1708]) ).

fof(f3543,plain,
    ( spl0_244
    | ~ spl0_9
    | ~ spl0_65 ),
    inference(avatar_split_clause,[],[f726,f713,f66,f3541]) ).

fof(f3541,plain,
    ( spl0_244
  <=> ! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X4,X5,X12] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),equivalent(X1,X2)),X3),X3),X4),X4),equivalent(equivalent(equivalent(equivalent(equivalent(X5,X6),equivalent(X5,X7)),equivalent(X6,X7)),X8),X8)),equivalent(equivalent(equivalent(equivalent(equivalent(X9,X10),equivalent(X9,X11)),equivalent(X10,X11)),X12),X12))),true,true,true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_244])]) ).

fof(f726,plain,
    ( ! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X4,X5,X12] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),equivalent(X1,X2)),X3),X3),X4),X4),equivalent(equivalent(equivalent(equivalent(equivalent(X5,X6),equivalent(X5,X7)),equivalent(X6,X7)),X8),X8)),equivalent(equivalent(equivalent(equivalent(equivalent(X9,X10),equivalent(X9,X11)),equivalent(X10,X11)),X12),X12))),true,true,true)
    | ~ spl0_9
    | ~ spl0_65 ),
    inference(superposition,[],[f67,f714]) ).

fof(f3539,plain,
    ( spl0_243
    | ~ spl0_9
    | ~ spl0_64 ),
    inference(avatar_split_clause,[],[f722,f709,f66,f3537]) ).

fof(f3537,plain,
    ( spl0_243
  <=> ! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X4,X5,X12] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),X3),equivalent(equivalent(X1,X2),X3)),equivalent(equivalent(equivalent(equivalent(X4,X5),X6),X7),equivalent(equivalent(equivalent(X4,X8),X6),equivalent(equivalent(X5,X8),X7)))),equivalent(equivalent(equivalent(equivalent(equivalent(X9,X10),equivalent(X9,X11)),equivalent(X10,X11)),X12),X12))),true,true,true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_243])]) ).

fof(f722,plain,
    ( ! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X4,X5,X12] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),X3),equivalent(equivalent(X1,X2),X3)),equivalent(equivalent(equivalent(equivalent(X4,X5),X6),X7),equivalent(equivalent(equivalent(X4,X8),X6),equivalent(equivalent(X5,X8),X7)))),equivalent(equivalent(equivalent(equivalent(equivalent(X9,X10),equivalent(X9,X11)),equivalent(X10,X11)),X12),X12))),true,true,true)
    | ~ spl0_9
    | ~ spl0_64 ),
    inference(superposition,[],[f67,f710]) ).

fof(f3535,plain,
    ( spl0_242
    | ~ spl0_9
    | ~ spl0_63 ),
    inference(avatar_split_clause,[],[f718,f705,f66,f3533]) ).

fof(f3533,plain,
    ( spl0_242
  <=> ! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X4,X5,X12] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),X3),equivalent(equivalent(X1,X2),X3)),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X4,X5),equivalent(X4,X6)),X7),equivalent(equivalent(X5,X6),X7)),X8),X8)),equivalent(equivalent(equivalent(equivalent(equivalent(X9,X10),equivalent(X9,X11)),equivalent(X10,X11)),X12),X12))),true,true,true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_242])]) ).

fof(f718,plain,
    ( ! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X4,X5,X12] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),X3),equivalent(equivalent(X1,X2),X3)),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X4,X5),equivalent(X4,X6)),X7),equivalent(equivalent(X5,X6),X7)),X8),X8)),equivalent(equivalent(equivalent(equivalent(equivalent(X9,X10),equivalent(X9,X11)),equivalent(X10,X11)),X12),X12))),true,true,true)
    | ~ spl0_9
    | ~ spl0_63 ),
    inference(superposition,[],[f67,f706]) ).

fof(f3429,plain,
    ( spl0_241
    | ~ spl0_15
    | ~ spl0_61 ),
    inference(avatar_split_clause,[],[f702,f688,f136,f3427]) ).

fof(f3427,plain,
    ( spl0_241
  <=> ! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X4,X5,X12] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),X3),equivalent(equivalent(X1,X2),X3)),equivalent(equivalent(equivalent(equivalent(equivalent(X4,X5),equivalent(X4,X6)),equivalent(X5,X6)),X7),X7)),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X8,X9),equivalent(X8,X10)),X11),equivalent(equivalent(X9,X10),X11)),X12),X12))),true,true,true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_241])]) ).

fof(f688,plain,
    ( spl0_61
  <=> ! [X5,X6,X4,X0,X7,X3,X2,X1] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X4,X5),equivalent(X4,X6)),X7),equivalent(equivalent(X5,X6),X7)),equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),equivalent(X1,X2)),X3),X3))),true,true,true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_61])]) ).

fof(f702,plain,
    ( ! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X4,X5,X12] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),X3),equivalent(equivalent(X1,X2),X3)),equivalent(equivalent(equivalent(equivalent(equivalent(X4,X5),equivalent(X4,X6)),equivalent(X5,X6)),X7),X7)),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X8,X9),equivalent(X8,X10)),X11),equivalent(equivalent(X9,X10),X11)),X12),X12))),true,true,true)
    | ~ spl0_15
    | ~ spl0_61 ),
    inference(superposition,[],[f137,f689]) ).

fof(f689,plain,
    ( ! [X2,X3,X0,X1,X6,X7,X4,X5] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X4,X5),equivalent(X4,X6)),X7),equivalent(equivalent(X5,X6),X7)),equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),equivalent(X1,X2)),X3),X3))),true,true,true)
    | ~ spl0_61 ),
    inference(avatar_component_clause,[],[f688]) ).

fof(f3425,plain,
    ( spl0_240
    | ~ spl0_16
    | ~ spl0_61 ),
    inference(avatar_split_clause,[],[f701,f688,f140,f3423]) ).

fof(f3423,plain,
    ( spl0_240
  <=> ! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X4,X5,X12] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),X3),equivalent(equivalent(X1,X2),X3)),equivalent(equivalent(equivalent(equivalent(equivalent(X4,X5),equivalent(X4,X6)),equivalent(X5,X6)),X7),X7)),equivalent(equivalent(equivalent(equivalent(X8,X9),X10),X11),equivalent(equivalent(equivalent(X8,X12),X10),equivalent(equivalent(X9,X12),X11))))),true,true,true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_240])]) ).

fof(f701,plain,
    ( ! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X4,X5,X12] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),X3),equivalent(equivalent(X1,X2),X3)),equivalent(equivalent(equivalent(equivalent(equivalent(X4,X5),equivalent(X4,X6)),equivalent(X5,X6)),X7),X7)),equivalent(equivalent(equivalent(equivalent(X8,X9),X10),X11),equivalent(equivalent(equivalent(X8,X12),X10),equivalent(equivalent(X9,X12),X11))))),true,true,true)
    | ~ spl0_16
    | ~ spl0_61 ),
    inference(superposition,[],[f141,f689]) ).

fof(f3421,plain,
    ( spl0_239
    | ~ spl0_15
    | ~ spl0_60 ),
    inference(avatar_split_clause,[],[f695,f684,f136,f3419]) ).

fof(f3419,plain,
    ( spl0_239
  <=> ! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X4,X5,X12] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),equivalent(X1,X2)),equivalent(equivalent(equivalent(equivalent(X3,X4),X5),X6),equivalent(equivalent(equivalent(X3,X7),X5),equivalent(equivalent(X4,X7),X6)))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X8,X9),equivalent(X8,X10)),X11),equivalent(equivalent(X9,X10),X11)),X12),X12))),true,true,true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_239])]) ).

fof(f684,plain,
    ( spl0_60
  <=> ! [X5,X6,X4,X0,X7,X3,X2,X1] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(X5,X6),equivalent(X5,X7)),equivalent(X6,X7)),equivalent(equivalent(equivalent(equivalent(X0,X1),X2),X3),equivalent(equivalent(equivalent(X0,X4),X2),equivalent(equivalent(X1,X4),X3))))),true,true,true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_60])]) ).

fof(f695,plain,
    ( ! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X4,X5,X12] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),equivalent(X1,X2)),equivalent(equivalent(equivalent(equivalent(X3,X4),X5),X6),equivalent(equivalent(equivalent(X3,X7),X5),equivalent(equivalent(X4,X7),X6)))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X8,X9),equivalent(X8,X10)),X11),equivalent(equivalent(X9,X10),X11)),X12),X12))),true,true,true)
    | ~ spl0_15
    | ~ spl0_60 ),
    inference(superposition,[],[f137,f685]) ).

fof(f685,plain,
    ( ! [X2,X3,X0,X1,X6,X7,X4,X5] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(X5,X6),equivalent(X5,X7)),equivalent(X6,X7)),equivalent(equivalent(equivalent(equivalent(X0,X1),X2),X3),equivalent(equivalent(equivalent(X0,X4),X2),equivalent(equivalent(X1,X4),X3))))),true,true,true)
    | ~ spl0_60 ),
    inference(avatar_component_clause,[],[f684]) ).

fof(f3417,plain,
    ( spl0_238
    | ~ spl0_16
    | ~ spl0_60 ),
    inference(avatar_split_clause,[],[f694,f684,f140,f3415]) ).

fof(f3415,plain,
    ( spl0_238
  <=> ! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X4,X5,X12] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),equivalent(X1,X2)),equivalent(equivalent(equivalent(equivalent(X3,X4),X5),X6),equivalent(equivalent(equivalent(X3,X7),X5),equivalent(equivalent(X4,X7),X6)))),equivalent(equivalent(equivalent(equivalent(X8,X9),X10),X11),equivalent(equivalent(equivalent(X8,X12),X10),equivalent(equivalent(X9,X12),X11))))),true,true,true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_238])]) ).

fof(f694,plain,
    ( ! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X4,X5,X12] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),equivalent(X1,X2)),equivalent(equivalent(equivalent(equivalent(X3,X4),X5),X6),equivalent(equivalent(equivalent(X3,X7),X5),equivalent(equivalent(X4,X7),X6)))),equivalent(equivalent(equivalent(equivalent(X8,X9),X10),X11),equivalent(equivalent(equivalent(X8,X12),X10),equivalent(equivalent(X9,X12),X11))))),true,true,true)
    | ~ spl0_16
    | ~ spl0_60 ),
    inference(superposition,[],[f141,f685]) ).

fof(f3413,plain,
    ( spl0_237
    | ~ spl0_15
    | ~ spl0_59 ),
    inference(avatar_split_clause,[],[f692,f680,f136,f3411]) ).

fof(f3411,plain,
    ( spl0_237
  <=> ! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X4,X5,X12] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),equivalent(X1,X2)),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X3,X4),equivalent(X3,X5)),X6),equivalent(equivalent(X4,X5),X6)),X7),X7)),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X8,X9),equivalent(X8,X10)),X11),equivalent(equivalent(X9,X10),X11)),X12),X12))),true,true,true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_237])]) ).

fof(f680,plain,
    ( spl0_59
  <=> ! [X5,X6,X4,X0,X7,X3,X2,X1] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(X5,X6),equivalent(X5,X7)),equivalent(X6,X7)),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),X3),equivalent(equivalent(X1,X2),X3)),X4),X4))),true,true,true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_59])]) ).

fof(f692,plain,
    ( ! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X4,X5,X12] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),equivalent(X1,X2)),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X3,X4),equivalent(X3,X5)),X6),equivalent(equivalent(X4,X5),X6)),X7),X7)),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X8,X9),equivalent(X8,X10)),X11),equivalent(equivalent(X9,X10),X11)),X12),X12))),true,true,true)
    | ~ spl0_15
    | ~ spl0_59 ),
    inference(superposition,[],[f137,f681]) ).

fof(f681,plain,
    ( ! [X2,X3,X0,X1,X6,X7,X4,X5] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(X5,X6),equivalent(X5,X7)),equivalent(X6,X7)),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),X3),equivalent(equivalent(X1,X2),X3)),X4),X4))),true,true,true)
    | ~ spl0_59 ),
    inference(avatar_component_clause,[],[f680]) ).

fof(f3409,plain,
    ( spl0_236
    | ~ spl0_16
    | ~ spl0_59 ),
    inference(avatar_split_clause,[],[f691,f680,f140,f3407]) ).

fof(f3407,plain,
    ( spl0_236
  <=> ! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X4,X5,X12] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),equivalent(X1,X2)),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X3,X4),equivalent(X3,X5)),X6),equivalent(equivalent(X4,X5),X6)),X7),X7)),equivalent(equivalent(equivalent(equivalent(X8,X9),X10),X11),equivalent(equivalent(equivalent(X8,X12),X10),equivalent(equivalent(X9,X12),X11))))),true,true,true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_236])]) ).

fof(f691,plain,
    ( ! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X4,X5,X12] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),equivalent(X1,X2)),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X3,X4),equivalent(X3,X5)),X6),equivalent(equivalent(X4,X5),X6)),X7),X7)),equivalent(equivalent(equivalent(equivalent(X8,X9),X10),X11),equivalent(equivalent(equivalent(X8,X12),X10),equivalent(equivalent(X9,X12),X11))))),true,true,true)
    | ~ spl0_16
    | ~ spl0_59 ),
    inference(superposition,[],[f141,f681]) ).

fof(f3372,plain,
    ( spl0_235
    | ~ spl0_2
    | ~ spl0_208 ),
    inference(avatar_split_clause,[],[f3304,f2940,f13,f3370]) ).

fof(f2940,plain,
    ( spl0_208
  <=> ! [X2,X1] : true = ifeq(true,true,is_a_theorem(equivalent(equivalent(equivalent(X1,X1),X2),X2)),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_208])]) ).

fof(f3304,plain,
    ( ! [X0,X1] : true = is_a_theorem(equivalent(equivalent(equivalent(X0,X0),X1),X1))
    | ~ spl0_2
    | ~ spl0_208 ),
    inference(superposition,[],[f2941,f14]) ).

fof(f2941,plain,
    ( ! [X2,X1] : true = ifeq(true,true,is_a_theorem(equivalent(equivalent(equivalent(X1,X1),X2),X2)),true)
    | ~ spl0_208 ),
    inference(avatar_component_clause,[],[f2940]) ).

fof(f3360,plain,
    ( spl0_234
    | ~ spl0_9
    | ~ spl0_61 ),
    inference(avatar_split_clause,[],[f703,f688,f66,f3358]) ).

fof(f3358,plain,
    ( spl0_234
  <=> ! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X4,X5] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),X3),equivalent(equivalent(X1,X2),X3)),equivalent(equivalent(equivalent(equivalent(equivalent(X4,X5),equivalent(X4,X6)),equivalent(X5,X6)),X7),X7)),equivalent(equivalent(equivalent(equivalent(equivalent(X8,X9),equivalent(X8,X10)),equivalent(X9,X10)),X11),X11))),true,true,true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_234])]) ).

fof(f703,plain,
    ( ! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X4,X5] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),X3),equivalent(equivalent(X1,X2),X3)),equivalent(equivalent(equivalent(equivalent(equivalent(X4,X5),equivalent(X4,X6)),equivalent(X5,X6)),X7),X7)),equivalent(equivalent(equivalent(equivalent(equivalent(X8,X9),equivalent(X8,X10)),equivalent(X9,X10)),X11),X11))),true,true,true)
    | ~ spl0_9
    | ~ spl0_61 ),
    inference(superposition,[],[f67,f689]) ).

fof(f3356,plain,
    ( spl0_233
    | ~ spl0_9
    | ~ spl0_60 ),
    inference(avatar_split_clause,[],[f696,f684,f66,f3354]) ).

fof(f3354,plain,
    ( spl0_233
  <=> ! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X4,X5] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),equivalent(X1,X2)),equivalent(equivalent(equivalent(equivalent(X3,X4),X5),X6),equivalent(equivalent(equivalent(X3,X7),X5),equivalent(equivalent(X4,X7),X6)))),equivalent(equivalent(equivalent(equivalent(equivalent(X8,X9),equivalent(X8,X10)),equivalent(X9,X10)),X11),X11))),true,true,true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_233])]) ).

fof(f696,plain,
    ( ! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X4,X5] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),equivalent(X1,X2)),equivalent(equivalent(equivalent(equivalent(X3,X4),X5),X6),equivalent(equivalent(equivalent(X3,X7),X5),equivalent(equivalent(X4,X7),X6)))),equivalent(equivalent(equivalent(equivalent(equivalent(X8,X9),equivalent(X8,X10)),equivalent(X9,X10)),X11),X11))),true,true,true)
    | ~ spl0_9
    | ~ spl0_60 ),
    inference(superposition,[],[f67,f685]) ).

fof(f3352,plain,
    ( spl0_232
    | ~ spl0_9
    | ~ spl0_59 ),
    inference(avatar_split_clause,[],[f693,f680,f66,f3350]) ).

fof(f3350,plain,
    ( spl0_232
  <=> ! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X4,X5] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),equivalent(X1,X2)),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X3,X4),equivalent(X3,X5)),X6),equivalent(equivalent(X4,X5),X6)),X7),X7)),equivalent(equivalent(equivalent(equivalent(equivalent(X8,X9),equivalent(X8,X10)),equivalent(X9,X10)),X11),X11))),true,true,true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_232])]) ).

fof(f693,plain,
    ( ! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X4,X5] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),equivalent(X1,X2)),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X3,X4),equivalent(X3,X5)),X6),equivalent(equivalent(X4,X5),X6)),X7),X7)),equivalent(equivalent(equivalent(equivalent(equivalent(X8,X9),equivalent(X8,X10)),equivalent(X9,X10)),X11),X11))),true,true,true)
    | ~ spl0_9
    | ~ spl0_59 ),
    inference(superposition,[],[f67,f681]) ).

fof(f3348,plain,
    ( spl0_231
    | ~ spl0_15
    | ~ spl0_58 ),
    inference(avatar_split_clause,[],[f677,f673,f136,f3346]) ).

fof(f3346,plain,
    ( spl0_231
  <=> ! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X4,X5] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),equivalent(X1,X2)),equivalent(equivalent(equivalent(equivalent(equivalent(X3,X4),equivalent(X3,X5)),equivalent(X4,X5)),X6),X6)),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X7,X8),equivalent(X7,X9)),X10),equivalent(equivalent(X8,X9),X10)),X11),X11))),true,true,true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_231])]) ).

fof(f673,plain,
    ( spl0_58
  <=> ! [X5,X6,X4,X0,X3,X2,X1] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(X4,X5),equivalent(X4,X6)),equivalent(X5,X6)),equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),equivalent(X1,X2)),X3),X3))),true,true,true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_58])]) ).

fof(f677,plain,
    ( ! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X4,X5] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),equivalent(X1,X2)),equivalent(equivalent(equivalent(equivalent(equivalent(X3,X4),equivalent(X3,X5)),equivalent(X4,X5)),X6),X6)),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X7,X8),equivalent(X7,X9)),X10),equivalent(equivalent(X8,X9),X10)),X11),X11))),true,true,true)
    | ~ spl0_15
    | ~ spl0_58 ),
    inference(superposition,[],[f137,f674]) ).

fof(f674,plain,
    ( ! [X2,X3,X0,X1,X6,X4,X5] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(X4,X5),equivalent(X4,X6)),equivalent(X5,X6)),equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),equivalent(X1,X2)),X3),X3))),true,true,true)
    | ~ spl0_58 ),
    inference(avatar_component_clause,[],[f673]) ).

fof(f3344,plain,
    ( spl0_230
    | ~ spl0_16
    | ~ spl0_58 ),
    inference(avatar_split_clause,[],[f676,f673,f140,f3342]) ).

fof(f3342,plain,
    ( spl0_230
  <=> ! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X4,X5] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),equivalent(X1,X2)),equivalent(equivalent(equivalent(equivalent(equivalent(X3,X4),equivalent(X3,X5)),equivalent(X4,X5)),X6),X6)),equivalent(equivalent(equivalent(equivalent(X7,X8),X9),X10),equivalent(equivalent(equivalent(X7,X11),X9),equivalent(equivalent(X8,X11),X10))))),true,true,true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_230])]) ).

fof(f676,plain,
    ( ! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X4,X5] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),equivalent(X1,X2)),equivalent(equivalent(equivalent(equivalent(equivalent(X3,X4),equivalent(X3,X5)),equivalent(X4,X5)),X6),X6)),equivalent(equivalent(equivalent(equivalent(X7,X8),X9),X10),equivalent(equivalent(equivalent(X7,X11),X9),equivalent(equivalent(X8,X11),X10))))),true,true,true)
    | ~ spl0_16
    | ~ spl0_58 ),
    inference(superposition,[],[f141,f674]) ).

fof(f3241,plain,
    ( spl0_229
    | ~ spl0_9
    | ~ spl0_58 ),
    inference(avatar_split_clause,[],[f678,f673,f66,f3239]) ).

fof(f3239,plain,
    ( spl0_229
  <=> ! [X2,X3,X10,X0,X1,X8,X6,X9,X7,X4,X5] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),equivalent(X1,X2)),equivalent(equivalent(equivalent(equivalent(equivalent(X3,X4),equivalent(X3,X5)),equivalent(X4,X5)),X6),X6)),equivalent(equivalent(equivalent(equivalent(equivalent(X7,X8),equivalent(X7,X9)),equivalent(X8,X9)),X10),X10))),true,true,true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_229])]) ).

fof(f678,plain,
    ( ! [X2,X3,X10,X0,X1,X8,X6,X9,X7,X4,X5] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),equivalent(X1,X2)),equivalent(equivalent(equivalent(equivalent(equivalent(X3,X4),equivalent(X3,X5)),equivalent(X4,X5)),X6),X6)),equivalent(equivalent(equivalent(equivalent(equivalent(X7,X8),equivalent(X7,X9)),equivalent(X8,X9)),X10),X10))),true,true,true)
    | ~ spl0_9
    | ~ spl0_58 ),
    inference(superposition,[],[f67,f674]) ).

fof(f3237,plain,
    ( spl0_228
    | ~ spl0_15
    | ~ spl0_57 ),
    inference(avatar_split_clause,[],[f670,f666,f136,f3235]) ).

fof(f3235,plain,
    ( spl0_228
  <=> ! [X2,X3,X10,X0,X1,X8,X6,X9,X7,X4,X5] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),X3),X4),equivalent(equivalent(X4,equivalent(equivalent(X1,X2),X3)),X5)),X5),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X6,X7),equivalent(X6,X8)),X9),equivalent(equivalent(X7,X8),X9)),X10),X10))),true,true,true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_228])]) ).

fof(f666,plain,
    ( spl0_57
  <=> ! [X3,X4,X0,X5,X2,X1] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),X3),X4),equivalent(equivalent(X4,equivalent(equivalent(X1,X2),X3)),X5)),X5)),true,true,true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_57])]) ).

fof(f670,plain,
    ( ! [X2,X3,X10,X0,X1,X8,X6,X9,X7,X4,X5] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),X3),X4),equivalent(equivalent(X4,equivalent(equivalent(X1,X2),X3)),X5)),X5),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X6,X7),equivalent(X6,X8)),X9),equivalent(equivalent(X7,X8),X9)),X10),X10))),true,true,true)
    | ~ spl0_15
    | ~ spl0_57 ),
    inference(superposition,[],[f137,f667]) ).

fof(f667,plain,
    ( ! [X2,X3,X0,X1,X4,X5] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),X3),X4),equivalent(equivalent(X4,equivalent(equivalent(X1,X2),X3)),X5)),X5)),true,true,true)
    | ~ spl0_57 ),
    inference(avatar_component_clause,[],[f666]) ).

fof(f3233,plain,
    ( spl0_227
    | ~ spl0_16
    | ~ spl0_57 ),
    inference(avatar_split_clause,[],[f669,f666,f140,f3231]) ).

fof(f3231,plain,
    ( spl0_227
  <=> ! [X2,X3,X10,X0,X1,X8,X6,X9,X7,X4,X5] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),X3),X4),equivalent(equivalent(X4,equivalent(equivalent(X1,X2),X3)),X5)),X5),equivalent(equivalent(equivalent(equivalent(X6,X7),X8),X9),equivalent(equivalent(equivalent(X6,X10),X8),equivalent(equivalent(X7,X10),X9))))),true,true,true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_227])]) ).

fof(f669,plain,
    ( ! [X2,X3,X10,X0,X1,X8,X6,X9,X7,X4,X5] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),X3),X4),equivalent(equivalent(X4,equivalent(equivalent(X1,X2),X3)),X5)),X5),equivalent(equivalent(equivalent(equivalent(X6,X7),X8),X9),equivalent(equivalent(equivalent(X6,X10),X8),equivalent(equivalent(X7,X10),X9))))),true,true,true)
    | ~ spl0_16
    | ~ spl0_57 ),
    inference(superposition,[],[f141,f667]) ).

fof(f3125,plain,
    ( spl0_226
    | ~ spl0_2
    | ~ spl0_16
    | ~ spl0_56 ),
    inference(avatar_split_clause,[],[f664,f564,f140,f13,f3123]) ).

fof(f3123,plain,
    ( spl0_226
  <=> ! [X2,X3,X10,X0,X1,X8,X6,X9,X7,X4,X5] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),X2),X3),equivalent(equivalent(X4,X2),equivalent(equivalent(equivalent(X0,X5),X4),equivalent(equivalent(X1,X5),X3)))),equivalent(equivalent(equivalent(equivalent(X6,X7),X8),X9),equivalent(equivalent(equivalent(X6,X10),X8),equivalent(equivalent(X7,X10),X9))))),true,true,true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_226])]) ).

fof(f664,plain,
    ( ! [X2,X3,X10,X0,X1,X8,X6,X9,X7,X4,X5] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),X2),X3),equivalent(equivalent(X4,X2),equivalent(equivalent(equivalent(X0,X5),X4),equivalent(equivalent(X1,X5),X3)))),equivalent(equivalent(equivalent(equivalent(X6,X7),X8),X9),equivalent(equivalent(equivalent(X6,X10),X8),equivalent(equivalent(X7,X10),X9))))),true,true,true)
    | ~ spl0_2
    | ~ spl0_16
    | ~ spl0_56 ),
    inference(forward_demodulation,[],[f651,f14]) ).

fof(f651,plain,
    ( ! [X2,X3,X10,X0,X1,X8,X6,X9,X7,X4,X5] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),X2),X3),equivalent(equivalent(X4,X2),equivalent(equivalent(equivalent(X0,X5),X4),equivalent(equivalent(X1,X5),X3)))),equivalent(equivalent(equivalent(equivalent(X6,X7),X8),X9),equivalent(equivalent(equivalent(X6,X10),X8),equivalent(equivalent(X7,X10),X9))))),true,ifeq(true,true,true,true),true)
    | ~ spl0_16
    | ~ spl0_56 ),
    inference(superposition,[],[f141,f565]) ).

fof(f3121,plain,
    ( spl0_225
    | ~ spl0_2
    | ~ spl0_15
    | ~ spl0_56 ),
    inference(avatar_split_clause,[],[f663,f564,f136,f13,f3119]) ).

fof(f3119,plain,
    ( spl0_225
  <=> ! [X2,X3,X10,X0,X1,X8,X6,X9,X7,X4,X5] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),X2),X3),equivalent(equivalent(X4,X2),equivalent(equivalent(equivalent(X0,X5),X4),equivalent(equivalent(X1,X5),X3)))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X6,X7),equivalent(X6,X8)),X9),equivalent(equivalent(X7,X8),X9)),X10),X10))),true,true,true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_225])]) ).

fof(f663,plain,
    ( ! [X2,X3,X10,X0,X1,X8,X6,X9,X7,X4,X5] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),X2),X3),equivalent(equivalent(X4,X2),equivalent(equivalent(equivalent(X0,X5),X4),equivalent(equivalent(X1,X5),X3)))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X6,X7),equivalent(X6,X8)),X9),equivalent(equivalent(X7,X8),X9)),X10),X10))),true,true,true)
    | ~ spl0_2
    | ~ spl0_15
    | ~ spl0_56 ),
    inference(forward_demodulation,[],[f650,f14]) ).

fof(f650,plain,
    ( ! [X2,X3,X10,X0,X1,X8,X6,X9,X7,X4,X5] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),X2),X3),equivalent(equivalent(X4,X2),equivalent(equivalent(equivalent(X0,X5),X4),equivalent(equivalent(X1,X5),X3)))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X6,X7),equivalent(X6,X8)),X9),equivalent(equivalent(X7,X8),X9)),X10),X10))),true,ifeq(true,true,true,true),true)
    | ~ spl0_15
    | ~ spl0_56 ),
    inference(superposition,[],[f137,f565]) ).

fof(f3117,plain,
    ( spl0_224
    | ~ spl0_13
    | ~ spl0_56 ),
    inference(avatar_split_clause,[],[f649,f564,f82,f3115]) ).

fof(f3115,plain,
    ( spl0_224
  <=> ! [X2,X3,X10,X0,X1,X8,X6,X9,X7,X4,X5] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X6,X7),X8),X9),equivalent(equivalent(equivalent(X6,X10),X8),equivalent(equivalent(X7,X10),X9))),equivalent(equivalent(equivalent(equivalent(X0,X1),X2),X3),equivalent(equivalent(X4,X2),equivalent(equivalent(equivalent(X0,X5),X4),equivalent(equivalent(X1,X5),X3)))))),true,true,true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_224])]) ).

fof(f82,plain,
    ( spl0_13
  <=> ! [X2,X3,X4,X0,X5,X1] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),X2),X3),equivalent(equivalent(equivalent(X0,X4),X2),equivalent(equivalent(X1,X4),X3))),X5)),true,is_a_theorem(X5),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).

fof(f649,plain,
    ( ! [X2,X3,X10,X0,X1,X8,X6,X9,X7,X4,X5] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X6,X7),X8),X9),equivalent(equivalent(equivalent(X6,X10),X8),equivalent(equivalent(X7,X10),X9))),equivalent(equivalent(equivalent(equivalent(X0,X1),X2),X3),equivalent(equivalent(X4,X2),equivalent(equivalent(equivalent(X0,X5),X4),equivalent(equivalent(X1,X5),X3)))))),true,true,true)
    | ~ spl0_13
    | ~ spl0_56 ),
    inference(superposition,[],[f83,f565]) ).

fof(f83,plain,
    ( ! [X2,X3,X0,X1,X4,X5] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),X2),X3),equivalent(equivalent(equivalent(X0,X4),X2),equivalent(equivalent(X1,X4),X3))),X5)),true,is_a_theorem(X5),true)
    | ~ spl0_13 ),
    inference(avatar_component_clause,[],[f82]) ).

fof(f3113,plain,
    ( spl0_223
    | ~ spl0_11
    | ~ spl0_56 ),
    inference(avatar_split_clause,[],[f648,f564,f74,f3111]) ).

fof(f3111,plain,
    ( spl0_223
  <=> ! [X2,X3,X10,X0,X1,X8,X6,X9,X7,X4,X5] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X6,X7),equivalent(X6,X8)),X9),equivalent(equivalent(X7,X8),X9)),X10),X10),equivalent(equivalent(equivalent(equivalent(X0,X1),X2),X3),equivalent(equivalent(X4,X2),equivalent(equivalent(equivalent(X0,X5),X4),equivalent(equivalent(X1,X5),X3)))))),true,true,true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_223])]) ).

fof(f74,plain,
    ( spl0_11
  <=> ! [X3,X4,X0,X5,X2,X1] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),X3),equivalent(equivalent(X1,X2),X3)),X4),X4),X5)),true,is_a_theorem(X5),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).

fof(f648,plain,
    ( ! [X2,X3,X10,X0,X1,X8,X6,X9,X7,X4,X5] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X6,X7),equivalent(X6,X8)),X9),equivalent(equivalent(X7,X8),X9)),X10),X10),equivalent(equivalent(equivalent(equivalent(X0,X1),X2),X3),equivalent(equivalent(X4,X2),equivalent(equivalent(equivalent(X0,X5),X4),equivalent(equivalent(X1,X5),X3)))))),true,true,true)
    | ~ spl0_11
    | ~ spl0_56 ),
    inference(superposition,[],[f75,f565]) ).

fof(f75,plain,
    ( ! [X2,X3,X0,X1,X4,X5] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),X3),equivalent(equivalent(X1,X2),X3)),X4),X4),X5)),true,is_a_theorem(X5),true)
    | ~ spl0_11 ),
    inference(avatar_component_clause,[],[f74]) ).

fof(f3108,plain,
    ( spl0_222
    | ~ spl0_10
    | ~ spl0_56 ),
    inference(avatar_split_clause,[],[f647,f564,f70,f3106]) ).

fof(f3106,plain,
    ( spl0_222
  <=> ! [X2,X3,X0,X1,X8,X6,X9,X7,X4,X5] : true = ifeq(true,true,ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X6,X7),equivalent(X6,X8)),X9),equivalent(equivalent(X7,X8),X9)),equivalent(equivalent(equivalent(equivalent(X0,X1),X2),X3),equivalent(equivalent(X4,X2),equivalent(equivalent(equivalent(X0,X5),X4),equivalent(equivalent(X1,X5),X3)))))),true,true,true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_222])]) ).

fof(f70,plain,
    ( spl0_10
  <=> ! [X4,X0,X3,X2,X1] : true = ifeq(true,true,ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),X3),equivalent(equivalent(X1,X2),X3)),X4)),true,is_a_theorem(X4),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).

fof(f647,plain,
    ( ! [X2,X3,X0,X1,X8,X6,X9,X7,X4,X5] : true = ifeq(true,true,ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X6,X7),equivalent(X6,X8)),X9),equivalent(equivalent(X7,X8),X9)),equivalent(equivalent(equivalent(equivalent(X0,X1),X2),X3),equivalent(equivalent(X4,X2),equivalent(equivalent(equivalent(X0,X5),X4),equivalent(equivalent(X1,X5),X3)))))),true,true,true),true)
    | ~ spl0_10
    | ~ spl0_56 ),
    inference(superposition,[],[f71,f565]) ).

fof(f71,plain,
    ( ! [X2,X3,X0,X1,X4] : true = ifeq(true,true,ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),X3),equivalent(equivalent(X1,X2),X3)),X4)),true,is_a_theorem(X4),true),true)
    | ~ spl0_10 ),
    inference(avatar_component_clause,[],[f70]) ).

fof(f3104,plain,
    ( spl0_221
    | ~ spl0_2
    | ~ spl0_16
    | ~ spl0_55 ),
    inference(avatar_split_clause,[],[f607,f560,f140,f13,f3102]) ).

fof(f3102,plain,
    ( spl0_221
  <=> ! [X2,X3,X10,X0,X1,X8,X6,X9,X7,X4,X5] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),X3),X4),X5),equivalent(equivalent(equivalent(equivalent(X1,X2),X3),X4),X5)),equivalent(equivalent(equivalent(equivalent(X6,X7),X8),X9),equivalent(equivalent(equivalent(X6,X10),X8),equivalent(equivalent(X7,X10),X9))))),true,true,true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_221])]) ).

fof(f607,plain,
    ( ! [X2,X3,X10,X0,X1,X8,X6,X9,X7,X4,X5] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),X3),X4),X5),equivalent(equivalent(equivalent(equivalent(X1,X2),X3),X4),X5)),equivalent(equivalent(equivalent(equivalent(X6,X7),X8),X9),equivalent(equivalent(equivalent(X6,X10),X8),equivalent(equivalent(X7,X10),X9))))),true,true,true)
    | ~ spl0_2
    | ~ spl0_16
    | ~ spl0_55 ),
    inference(forward_demodulation,[],[f595,f14]) ).

fof(f595,plain,
    ( ! [X2,X3,X10,X0,X1,X8,X6,X9,X7,X4,X5] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),X3),X4),X5),equivalent(equivalent(equivalent(equivalent(X1,X2),X3),X4),X5)),equivalent(equivalent(equivalent(equivalent(X6,X7),X8),X9),equivalent(equivalent(equivalent(X6,X10),X8),equivalent(equivalent(X7,X10),X9))))),true,ifeq(true,true,true,true),true)
    | ~ spl0_16
    | ~ spl0_55 ),
    inference(superposition,[],[f141,f561]) ).

fof(f3100,plain,
    ( spl0_220
    | ~ spl0_2
    | ~ spl0_15
    | ~ spl0_55 ),
    inference(avatar_split_clause,[],[f606,f560,f136,f13,f3098]) ).

fof(f3098,plain,
    ( spl0_220
  <=> ! [X2,X3,X10,X0,X1,X8,X6,X9,X7,X4,X5] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),X3),X4),X5),equivalent(equivalent(equivalent(equivalent(X1,X2),X3),X4),X5)),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X6,X7),equivalent(X6,X8)),X9),equivalent(equivalent(X7,X8),X9)),X10),X10))),true,true,true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_220])]) ).

fof(f606,plain,
    ( ! [X2,X3,X10,X0,X1,X8,X6,X9,X7,X4,X5] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),X3),X4),X5),equivalent(equivalent(equivalent(equivalent(X1,X2),X3),X4),X5)),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X6,X7),equivalent(X6,X8)),X9),equivalent(equivalent(X7,X8),X9)),X10),X10))),true,true,true)
    | ~ spl0_2
    | ~ spl0_15
    | ~ spl0_55 ),
    inference(forward_demodulation,[],[f594,f14]) ).

fof(f594,plain,
    ( ! [X2,X3,X10,X0,X1,X8,X6,X9,X7,X4,X5] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),X3),X4),X5),equivalent(equivalent(equivalent(equivalent(X1,X2),X3),X4),X5)),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X6,X7),equivalent(X6,X8)),X9),equivalent(equivalent(X7,X8),X9)),X10),X10))),true,ifeq(true,true,true,true),true)
    | ~ spl0_15
    | ~ spl0_55 ),
    inference(superposition,[],[f137,f561]) ).

fof(f3096,plain,
    ( spl0_219
    | ~ spl0_13
    | ~ spl0_55 ),
    inference(avatar_split_clause,[],[f593,f560,f82,f3094]) ).

fof(f3094,plain,
    ( spl0_219
  <=> ! [X2,X3,X10,X0,X1,X8,X6,X9,X7,X4,X5] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X6,X7),X8),X9),equivalent(equivalent(equivalent(X6,X10),X8),equivalent(equivalent(X7,X10),X9))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),X3),X4),X5),equivalent(equivalent(equivalent(equivalent(X1,X2),X3),X4),X5)))),true,true,true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_219])]) ).

fof(f593,plain,
    ( ! [X2,X3,X10,X0,X1,X8,X6,X9,X7,X4,X5] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X6,X7),X8),X9),equivalent(equivalent(equivalent(X6,X10),X8),equivalent(equivalent(X7,X10),X9))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),X3),X4),X5),equivalent(equivalent(equivalent(equivalent(X1,X2),X3),X4),X5)))),true,true,true)
    | ~ spl0_13
    | ~ spl0_55 ),
    inference(superposition,[],[f83,f561]) ).

fof(f3092,plain,
    ( spl0_218
    | ~ spl0_11
    | ~ spl0_55 ),
    inference(avatar_split_clause,[],[f592,f560,f74,f3090]) ).

fof(f3090,plain,
    ( spl0_218
  <=> ! [X2,X3,X10,X0,X1,X8,X6,X9,X7,X4,X5] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X6,X7),equivalent(X6,X8)),X9),equivalent(equivalent(X7,X8),X9)),X10),X10),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),X3),X4),X5),equivalent(equivalent(equivalent(equivalent(X1,X2),X3),X4),X5)))),true,true,true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_218])]) ).

fof(f592,plain,
    ( ! [X2,X3,X10,X0,X1,X8,X6,X9,X7,X4,X5] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X6,X7),equivalent(X6,X8)),X9),equivalent(equivalent(X7,X8),X9)),X10),X10),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),X3),X4),X5),equivalent(equivalent(equivalent(equivalent(X1,X2),X3),X4),X5)))),true,true,true)
    | ~ spl0_11
    | ~ spl0_55 ),
    inference(superposition,[],[f75,f561]) ).

fof(f3087,plain,
    ( spl0_217
    | ~ spl0_10
    | ~ spl0_55 ),
    inference(avatar_split_clause,[],[f591,f560,f70,f3085]) ).

fof(f3085,plain,
    ( spl0_217
  <=> ! [X2,X3,X0,X1,X8,X6,X9,X7,X4,X5] : true = ifeq(true,true,ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X6,X7),equivalent(X6,X8)),X9),equivalent(equivalent(X7,X8),X9)),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),X3),X4),X5),equivalent(equivalent(equivalent(equivalent(X1,X2),X3),X4),X5)))),true,true,true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_217])]) ).

fof(f591,plain,
    ( ! [X2,X3,X0,X1,X8,X6,X9,X7,X4,X5] : true = ifeq(true,true,ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X6,X7),equivalent(X6,X8)),X9),equivalent(equivalent(X7,X8),X9)),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),X3),X4),X5),equivalent(equivalent(equivalent(equivalent(X1,X2),X3),X4),X5)))),true,true,true),true)
    | ~ spl0_10
    | ~ spl0_55 ),
    inference(superposition,[],[f71,f561]) ).

fof(f3083,plain,
    ( spl0_216
    | ~ spl0_2
    | ~ spl0_198 ),
    inference(avatar_split_clause,[],[f2998,f2890,f13,f3081]) ).

fof(f2890,plain,
    ( spl0_198
  <=> ! [X2,X0] : true = ifeq(true,true,is_a_theorem(equivalent(X2,equivalent(equivalent(X0,X0),X2))),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_198])]) ).

fof(f2998,plain,
    ( ! [X0,X1] : true = is_a_theorem(equivalent(X0,equivalent(equivalent(X1,X1),X0)))
    | ~ spl0_2
    | ~ spl0_198 ),
    inference(superposition,[],[f2891,f14]) ).

fof(f2891,plain,
    ( ! [X2,X0] : true = ifeq(true,true,is_a_theorem(equivalent(X2,equivalent(equivalent(X0,X0),X2))),true)
    | ~ spl0_198 ),
    inference(avatar_component_clause,[],[f2890]) ).

fof(f2971,plain,
    ( spl0_215
    | ~ spl0_9
    | ~ spl0_57 ),
    inference(avatar_split_clause,[],[f671,f666,f66,f2969]) ).

fof(f2969,plain,
    ( spl0_215
  <=> ! [X2,X3,X0,X1,X8,X6,X9,X7,X4,X5] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),X3),X4),equivalent(equivalent(X4,equivalent(equivalent(X1,X2),X3)),X5)),X5),equivalent(equivalent(equivalent(equivalent(equivalent(X6,X7),equivalent(X6,X8)),equivalent(X7,X8)),X9),X9))),true,true,true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_215])]) ).

fof(f671,plain,
    ( ! [X2,X3,X0,X1,X8,X6,X9,X7,X4,X5] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),X3),X4),equivalent(equivalent(X4,equivalent(equivalent(X1,X2),X3)),X5)),X5),equivalent(equivalent(equivalent(equivalent(equivalent(X6,X7),equivalent(X6,X8)),equivalent(X7,X8)),X9),X9))),true,true,true)
    | ~ spl0_9
    | ~ spl0_57 ),
    inference(superposition,[],[f67,f667]) ).

fof(f2967,plain,
    ( spl0_214
    | ~ spl0_2
    | ~ spl0_9
    | ~ spl0_56 ),
    inference(avatar_split_clause,[],[f662,f564,f66,f13,f2965]) ).

fof(f2965,plain,
    ( spl0_214
  <=> ! [X2,X3,X0,X1,X8,X6,X9,X7,X4,X5] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),X2),X3),equivalent(equivalent(X4,X2),equivalent(equivalent(equivalent(X0,X5),X4),equivalent(equivalent(X1,X5),X3)))),equivalent(equivalent(equivalent(equivalent(equivalent(X6,X7),equivalent(X6,X8)),equivalent(X7,X8)),X9),X9))),true,true,true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_214])]) ).

fof(f662,plain,
    ( ! [X2,X3,X0,X1,X8,X6,X9,X7,X4,X5] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),X2),X3),equivalent(equivalent(X4,X2),equivalent(equivalent(equivalent(X0,X5),X4),equivalent(equivalent(X1,X5),X3)))),equivalent(equivalent(equivalent(equivalent(equivalent(X6,X7),equivalent(X6,X8)),equivalent(X7,X8)),X9),X9))),true,true,true)
    | ~ spl0_2
    | ~ spl0_9
    | ~ spl0_56 ),
    inference(forward_demodulation,[],[f646,f14]) ).

fof(f646,plain,
    ( ! [X2,X3,X0,X1,X8,X6,X9,X7,X4,X5] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),X2),X3),equivalent(equivalent(X4,X2),equivalent(equivalent(equivalent(X0,X5),X4),equivalent(equivalent(X1,X5),X3)))),equivalent(equivalent(equivalent(equivalent(equivalent(X6,X7),equivalent(X6,X8)),equivalent(X7,X8)),X9),X9))),true,ifeq(true,true,true,true),true)
    | ~ spl0_9
    | ~ spl0_56 ),
    inference(superposition,[],[f67,f565]) ).

fof(f2963,plain,
    ( spl0_213
    | ~ spl0_21
    | ~ spl0_56 ),
    inference(avatar_split_clause,[],[f653,f564,f191,f2961]) ).

fof(f2961,plain,
    ( spl0_213
  <=> ! [X2,X3,X0,X1,X8,X6,X9,X7,X4,X5] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X6,X7),equivalent(X6,X8)),X9),equivalent(equivalent(X7,X8),X9)),equivalent(equivalent(equivalent(equivalent(X0,X1),X2),X3),equivalent(equivalent(X4,X2),equivalent(equivalent(equivalent(X0,X5),X4),equivalent(equivalent(X1,X5),X3)))))),true,true,true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_213])]) ).

fof(f191,plain,
    ( spl0_21
  <=> ! [X4,X0,X3,X2,X1] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),X3),equivalent(equivalent(X1,X2),X3)),X4)),true,is_a_theorem(X4),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_21])]) ).

fof(f653,plain,
    ( ! [X2,X3,X0,X1,X8,X6,X9,X7,X4,X5] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X6,X7),equivalent(X6,X8)),X9),equivalent(equivalent(X7,X8),X9)),equivalent(equivalent(equivalent(equivalent(X0,X1),X2),X3),equivalent(equivalent(X4,X2),equivalent(equivalent(equivalent(X0,X5),X4),equivalent(equivalent(X1,X5),X3)))))),true,true,true)
    | ~ spl0_21
    | ~ spl0_56 ),
    inference(superposition,[],[f192,f565]) ).

fof(f192,plain,
    ( ! [X2,X3,X0,X1,X4] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),X3),equivalent(equivalent(X1,X2),X3)),X4)),true,is_a_theorem(X4),true)
    | ~ spl0_21 ),
    inference(avatar_component_clause,[],[f191]) ).

fof(f2959,plain,
    ( spl0_212
    | ~ spl0_8
    | ~ spl0_56 ),
    inference(avatar_split_clause,[],[f645,f564,f49,f2957]) ).

fof(f2957,plain,
    ( spl0_212
  <=> ! [X2,X3,X0,X1,X8,X6,X9,X7,X4,X5] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X6,X7),equivalent(X6,X8)),equivalent(X7,X8)),X9),X9),equivalent(equivalent(equivalent(equivalent(X0,X1),X2),X3),equivalent(equivalent(X4,X2),equivalent(equivalent(equivalent(X0,X5),X4),equivalent(equivalent(X1,X5),X3)))))),true,true,true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_212])]) ).

fof(f49,plain,
    ( spl0_8
  <=> ! [X4,X0,X3,X2,X1] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),equivalent(X1,X2)),X3),X3),X4)),true,is_a_theorem(X4),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).

fof(f645,plain,
    ( ! [X2,X3,X0,X1,X8,X6,X9,X7,X4,X5] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X6,X7),equivalent(X6,X8)),equivalent(X7,X8)),X9),X9),equivalent(equivalent(equivalent(equivalent(X0,X1),X2),X3),equivalent(equivalent(X4,X2),equivalent(equivalent(equivalent(X0,X5),X4),equivalent(equivalent(X1,X5),X3)))))),true,true,true)
    | ~ spl0_8
    | ~ spl0_56 ),
    inference(superposition,[],[f50,f565]) ).

fof(f50,plain,
    ( ! [X2,X3,X0,X1,X4] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),equivalent(X1,X2)),X3),X3),X4)),true,is_a_theorem(X4),true)
    | ~ spl0_8 ),
    inference(avatar_component_clause,[],[f49]) ).

fof(f2954,plain,
    ( spl0_211
    | ~ spl0_7
    | ~ spl0_56 ),
    inference(avatar_split_clause,[],[f644,f564,f45,f2952]) ).

fof(f2952,plain,
    ( spl0_211
  <=> ! [X2,X3,X0,X1,X8,X6,X7,X4,X5] : true = ifeq(true,true,ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(X6,X7),equivalent(X6,X8)),equivalent(X7,X8)),equivalent(equivalent(equivalent(equivalent(X0,X1),X2),X3),equivalent(equivalent(X4,X2),equivalent(equivalent(equivalent(X0,X5),X4),equivalent(equivalent(X1,X5),X3)))))),true,true,true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_211])]) ).

fof(f45,plain,
    ( spl0_7
  <=> ! [X0,X3,X2,X1] : true = ifeq(true,true,ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),equivalent(X1,X2)),X3)),true,is_a_theorem(X3),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).

fof(f644,plain,
    ( ! [X2,X3,X0,X1,X8,X6,X7,X4,X5] : true = ifeq(true,true,ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(X6,X7),equivalent(X6,X8)),equivalent(X7,X8)),equivalent(equivalent(equivalent(equivalent(X0,X1),X2),X3),equivalent(equivalent(X4,X2),equivalent(equivalent(equivalent(X0,X5),X4),equivalent(equivalent(X1,X5),X3)))))),true,true,true),true)
    | ~ spl0_7
    | ~ spl0_56 ),
    inference(superposition,[],[f46,f565]) ).

fof(f46,plain,
    ( ! [X2,X3,X0,X1] : true = ifeq(true,true,ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),equivalent(X1,X2)),X3)),true,is_a_theorem(X3),true),true)
    | ~ spl0_7 ),
    inference(avatar_component_clause,[],[f45]) ).

fof(f2950,plain,
    ( spl0_210
    | ~ spl0_2
    | ~ spl0_9
    | ~ spl0_55 ),
    inference(avatar_split_clause,[],[f605,f560,f66,f13,f2948]) ).

fof(f2948,plain,
    ( spl0_210
  <=> ! [X2,X3,X0,X1,X8,X6,X9,X7,X4,X5] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),X3),X4),X5),equivalent(equivalent(equivalent(equivalent(X1,X2),X3),X4),X5)),equivalent(equivalent(equivalent(equivalent(equivalent(X6,X7),equivalent(X6,X8)),equivalent(X7,X8)),X9),X9))),true,true,true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_210])]) ).

fof(f605,plain,
    ( ! [X2,X3,X0,X1,X8,X6,X9,X7,X4,X5] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),X3),X4),X5),equivalent(equivalent(equivalent(equivalent(X1,X2),X3),X4),X5)),equivalent(equivalent(equivalent(equivalent(equivalent(X6,X7),equivalent(X6,X8)),equivalent(X7,X8)),X9),X9))),true,true,true)
    | ~ spl0_2
    | ~ spl0_9
    | ~ spl0_55 ),
    inference(forward_demodulation,[],[f590,f14]) ).

fof(f590,plain,
    ( ! [X2,X3,X0,X1,X8,X6,X9,X7,X4,X5] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),X3),X4),X5),equivalent(equivalent(equivalent(equivalent(X1,X2),X3),X4),X5)),equivalent(equivalent(equivalent(equivalent(equivalent(X6,X7),equivalent(X6,X8)),equivalent(X7,X8)),X9),X9))),true,ifeq(true,true,true,true),true)
    | ~ spl0_9
    | ~ spl0_55 ),
    inference(superposition,[],[f67,f561]) ).

fof(f2946,plain,
    ( spl0_209
    | ~ spl0_21
    | ~ spl0_55 ),
    inference(avatar_split_clause,[],[f597,f560,f191,f2944]) ).

fof(f2944,plain,
    ( spl0_209
  <=> ! [X2,X3,X0,X1,X8,X6,X9,X7,X4,X5] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X6,X7),equivalent(X6,X8)),X9),equivalent(equivalent(X7,X8),X9)),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),X3),X4),X5),equivalent(equivalent(equivalent(equivalent(X1,X2),X3),X4),X5)))),true,true,true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_209])]) ).

fof(f597,plain,
    ( ! [X2,X3,X0,X1,X8,X6,X9,X7,X4,X5] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X6,X7),equivalent(X6,X8)),X9),equivalent(equivalent(X7,X8),X9)),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),X3),X4),X5),equivalent(equivalent(equivalent(equivalent(X1,X2),X3),X4),X5)))),true,true,true)
    | ~ spl0_21
    | ~ spl0_55 ),
    inference(superposition,[],[f192,f561]) ).

fof(f2942,plain,
    ( spl0_208
    | ~ spl0_2
    | ~ spl0_119
    | ~ spl0_131 ),
    inference(avatar_split_clause,[],[f2776,f1405,f1280,f13,f2940]) ).

fof(f1280,plain,
    ( spl0_119
  <=> ! [X2,X0,X1] : true = is_a_theorem(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X1)),X2),X2)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_119])]) ).

fof(f2776,plain,
    ( ! [X2,X1] : true = ifeq(true,true,is_a_theorem(equivalent(equivalent(equivalent(X1,X1),X2),X2)),true)
    | ~ spl0_2
    | ~ spl0_119
    | ~ spl0_131 ),
    inference(forward_demodulation,[],[f2709,f14]) ).

fof(f2709,plain,
    ( ! [X2,X1] : true = ifeq(true,true,ifeq(true,true,is_a_theorem(equivalent(equivalent(equivalent(X1,X1),X2),X2)),true),true)
    | ~ spl0_119
    | ~ spl0_131 ),
    inference(superposition,[],[f1406,f1281]) ).

fof(f1281,plain,
    ( ! [X2,X0,X1] : true = is_a_theorem(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X1)),X2),X2))
    | ~ spl0_119 ),
    inference(avatar_component_clause,[],[f1280]) ).

fof(f2938,plain,
    ( spl0_207
    | ~ spl0_8
    | ~ spl0_55 ),
    inference(avatar_split_clause,[],[f589,f560,f49,f2936]) ).

fof(f2936,plain,
    ( spl0_207
  <=> ! [X2,X3,X0,X1,X8,X6,X9,X7,X4,X5] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X6,X7),equivalent(X6,X8)),equivalent(X7,X8)),X9),X9),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),X3),X4),X5),equivalent(equivalent(equivalent(equivalent(X1,X2),X3),X4),X5)))),true,true,true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_207])]) ).

fof(f589,plain,
    ( ! [X2,X3,X0,X1,X8,X6,X9,X7,X4,X5] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X6,X7),equivalent(X6,X8)),equivalent(X7,X8)),X9),X9),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),X3),X4),X5),equivalent(equivalent(equivalent(equivalent(X1,X2),X3),X4),X5)))),true,true,true)
    | ~ spl0_8
    | ~ spl0_55 ),
    inference(superposition,[],[f50,f561]) ).

fof(f2933,plain,
    ( spl0_206
    | ~ spl0_7
    | ~ spl0_55 ),
    inference(avatar_split_clause,[],[f588,f560,f45,f2931]) ).

fof(f2931,plain,
    ( spl0_206
  <=> ! [X2,X3,X0,X1,X8,X6,X7,X4,X5] : true = ifeq(true,true,ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(X6,X7),equivalent(X6,X8)),equivalent(X7,X8)),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),X3),X4),X5),equivalent(equivalent(equivalent(equivalent(X1,X2),X3),X4),X5)))),true,true,true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_206])]) ).

fof(f588,plain,
    ( ! [X2,X3,X0,X1,X8,X6,X7,X4,X5] : true = ifeq(true,true,ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(X6,X7),equivalent(X6,X8)),equivalent(X7,X8)),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),X3),X4),X5),equivalent(equivalent(equivalent(equivalent(X1,X2),X3),X4),X5)))),true,true,true),true)
    | ~ spl0_7
    | ~ spl0_55 ),
    inference(superposition,[],[f46,f561]) ).

fof(f2929,plain,
    ( spl0_205
    | ~ spl0_15
    | ~ spl0_54 ),
    inference(avatar_split_clause,[],[f568,f556,f136,f2927]) ).

fof(f2927,plain,
    ( spl0_205
  <=> ! [X2,X3,X0,X1,X8,X6,X9,X7,X4,X5] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),X3),equivalent(equivalent(X3,equivalent(X1,X2)),X4)),X4),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X5,X6),equivalent(X5,X7)),X8),equivalent(equivalent(X6,X7),X8)),X9),X9))),true,true,true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_205])]) ).

fof(f556,plain,
    ( spl0_54
  <=> ! [X4,X0,X3,X2,X1] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),X3),equivalent(equivalent(X3,equivalent(X1,X2)),X4)),X4)),true,true,true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_54])]) ).

fof(f568,plain,
    ( ! [X2,X3,X0,X1,X8,X6,X9,X7,X4,X5] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),X3),equivalent(equivalent(X3,equivalent(X1,X2)),X4)),X4),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X5,X6),equivalent(X5,X7)),X8),equivalent(equivalent(X6,X7),X8)),X9),X9))),true,true,true)
    | ~ spl0_15
    | ~ spl0_54 ),
    inference(superposition,[],[f137,f557]) ).

fof(f557,plain,
    ( ! [X2,X3,X0,X1,X4] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),X3),equivalent(equivalent(X3,equivalent(X1,X2)),X4)),X4)),true,true,true)
    | ~ spl0_54 ),
    inference(avatar_component_clause,[],[f556]) ).

fof(f2925,plain,
    ( spl0_204
    | ~ spl0_16
    | ~ spl0_54 ),
    inference(avatar_split_clause,[],[f567,f556,f140,f2923]) ).

fof(f2923,plain,
    ( spl0_204
  <=> ! [X2,X3,X0,X1,X8,X6,X9,X7,X4,X5] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),X3),equivalent(equivalent(X3,equivalent(X1,X2)),X4)),X4),equivalent(equivalent(equivalent(equivalent(X5,X6),X7),X8),equivalent(equivalent(equivalent(X5,X9),X7),equivalent(equivalent(X6,X9),X8))))),true,true,true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_204])]) ).

fof(f567,plain,
    ( ! [X2,X3,X0,X1,X8,X6,X9,X7,X4,X5] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),X3),equivalent(equivalent(X3,equivalent(X1,X2)),X4)),X4),equivalent(equivalent(equivalent(equivalent(X5,X6),X7),X8),equivalent(equivalent(equivalent(X5,X9),X7),equivalent(equivalent(X6,X9),X8))))),true,true,true)
    | ~ spl0_16
    | ~ spl0_54 ),
    inference(superposition,[],[f141,f557]) ).

fof(f2921,plain,
    ( spl0_203
    | ~ spl0_2
    | ~ spl0_16
    | ~ spl0_53 ),
    inference(avatar_split_clause,[],[f554,f513,f140,f13,f2919]) ).

fof(f2919,plain,
    ( spl0_203
  <=> ! [X2,X3,X0,X1,X8,X6,X9,X7,X4,X5] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),X3),X4),equivalent(equivalent(equivalent(X1,X2),X3),X4)),equivalent(equivalent(equivalent(equivalent(X5,X6),X7),X8),equivalent(equivalent(equivalent(X5,X9),X7),equivalent(equivalent(X6,X9),X8))))),true,true,true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_203])]) ).

fof(f554,plain,
    ( ! [X2,X3,X0,X1,X8,X6,X9,X7,X4,X5] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),X3),X4),equivalent(equivalent(equivalent(X1,X2),X3),X4)),equivalent(equivalent(equivalent(equivalent(X5,X6),X7),X8),equivalent(equivalent(equivalent(X5,X9),X7),equivalent(equivalent(X6,X9),X8))))),true,true,true)
    | ~ spl0_2
    | ~ spl0_16
    | ~ spl0_53 ),
    inference(forward_demodulation,[],[f542,f14]) ).

fof(f542,plain,
    ( ! [X2,X3,X0,X1,X8,X6,X9,X7,X4,X5] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),X3),X4),equivalent(equivalent(equivalent(X1,X2),X3),X4)),equivalent(equivalent(equivalent(equivalent(X5,X6),X7),X8),equivalent(equivalent(equivalent(X5,X9),X7),equivalent(equivalent(X6,X9),X8))))),true,ifeq(true,true,true,true),true)
    | ~ spl0_16
    | ~ spl0_53 ),
    inference(superposition,[],[f141,f514]) ).

fof(f2917,plain,
    ( spl0_202
    | ~ spl0_2
    | ~ spl0_15
    | ~ spl0_53 ),
    inference(avatar_split_clause,[],[f553,f513,f136,f13,f2915]) ).

fof(f2915,plain,
    ( spl0_202
  <=> ! [X2,X3,X0,X1,X8,X6,X9,X7,X4,X5] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),X3),X4),equivalent(equivalent(equivalent(X1,X2),X3),X4)),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X5,X6),equivalent(X5,X7)),X8),equivalent(equivalent(X6,X7),X8)),X9),X9))),true,true,true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_202])]) ).

fof(f553,plain,
    ( ! [X2,X3,X0,X1,X8,X6,X9,X7,X4,X5] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),X3),X4),equivalent(equivalent(equivalent(X1,X2),X3),X4)),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X5,X6),equivalent(X5,X7)),X8),equivalent(equivalent(X6,X7),X8)),X9),X9))),true,true,true)
    | ~ spl0_2
    | ~ spl0_15
    | ~ spl0_53 ),
    inference(forward_demodulation,[],[f541,f14]) ).

fof(f541,plain,
    ( ! [X2,X3,X0,X1,X8,X6,X9,X7,X4,X5] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),X3),X4),equivalent(equivalent(equivalent(X1,X2),X3),X4)),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X5,X6),equivalent(X5,X7)),X8),equivalent(equivalent(X6,X7),X8)),X9),X9))),true,ifeq(true,true,true,true),true)
    | ~ spl0_15
    | ~ spl0_53 ),
    inference(superposition,[],[f137,f514]) ).

fof(f2913,plain,
    ( spl0_201
    | ~ spl0_13
    | ~ spl0_53 ),
    inference(avatar_split_clause,[],[f540,f513,f82,f2911]) ).

fof(f2911,plain,
    ( spl0_201
  <=> ! [X2,X3,X0,X1,X8,X6,X9,X7,X4,X5] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X5,X6),X7),X8),equivalent(equivalent(equivalent(X5,X9),X7),equivalent(equivalent(X6,X9),X8))),equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),X3),X4),equivalent(equivalent(equivalent(X1,X2),X3),X4)))),true,true,true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_201])]) ).

fof(f540,plain,
    ( ! [X2,X3,X0,X1,X8,X6,X9,X7,X4,X5] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X5,X6),X7),X8),equivalent(equivalent(equivalent(X5,X9),X7),equivalent(equivalent(X6,X9),X8))),equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),X3),X4),equivalent(equivalent(equivalent(X1,X2),X3),X4)))),true,true,true)
    | ~ spl0_13
    | ~ spl0_53 ),
    inference(superposition,[],[f83,f514]) ).

fof(f2909,plain,
    ( spl0_200
    | ~ spl0_11
    | ~ spl0_53 ),
    inference(avatar_split_clause,[],[f539,f513,f74,f2907]) ).

fof(f2907,plain,
    ( spl0_200
  <=> ! [X2,X3,X0,X1,X8,X6,X9,X7,X4,X5] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X5,X6),equivalent(X5,X7)),X8),equivalent(equivalent(X6,X7),X8)),X9),X9),equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),X3),X4),equivalent(equivalent(equivalent(X1,X2),X3),X4)))),true,true,true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_200])]) ).

fof(f539,plain,
    ( ! [X2,X3,X0,X1,X8,X6,X9,X7,X4,X5] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X5,X6),equivalent(X5,X7)),X8),equivalent(equivalent(X6,X7),X8)),X9),X9),equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),X3),X4),equivalent(equivalent(equivalent(X1,X2),X3),X4)))),true,true,true)
    | ~ spl0_11
    | ~ spl0_53 ),
    inference(superposition,[],[f75,f514]) ).

fof(f2904,plain,
    ( spl0_199
    | ~ spl0_10
    | ~ spl0_53 ),
    inference(avatar_split_clause,[],[f538,f513,f70,f2902]) ).

fof(f2902,plain,
    ( spl0_199
  <=> ! [X2,X3,X0,X1,X8,X6,X7,X4,X5] : true = ifeq(true,true,ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X5,X6),equivalent(X5,X7)),X8),equivalent(equivalent(X6,X7),X8)),equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),X3),X4),equivalent(equivalent(equivalent(X1,X2),X3),X4)))),true,true,true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_199])]) ).

fof(f538,plain,
    ( ! [X2,X3,X0,X1,X8,X6,X7,X4,X5] : true = ifeq(true,true,ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X5,X6),equivalent(X5,X7)),X8),equivalent(equivalent(X6,X7),X8)),equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),X3),X4),equivalent(equivalent(equivalent(X1,X2),X3),X4)))),true,true,true),true)
    | ~ spl0_10
    | ~ spl0_53 ),
    inference(superposition,[],[f71,f514]) ).

fof(f2892,plain,
    ( spl0_198
    | ~ spl0_105
    | ~ spl0_115 ),
    inference(avatar_split_clause,[],[f1329,f1174,f1034,f2890]) ).

fof(f1034,plain,
    ( spl0_105
  <=> ! [X2,X0,X1] : true = is_a_theorem(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),equivalent(X1,X2))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_105])]) ).

fof(f1329,plain,
    ( ! [X2,X0] : true = ifeq(true,true,is_a_theorem(equivalent(X2,equivalent(equivalent(X0,X0),X2))),true)
    | ~ spl0_105
    | ~ spl0_115 ),
    inference(superposition,[],[f1175,f1035]) ).

fof(f1035,plain,
    ( ! [X2,X0,X1] : true = is_a_theorem(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),equivalent(X1,X2)))
    | ~ spl0_105 ),
    inference(avatar_component_clause,[],[f1034]) ).

fof(f2671,plain,
    ( spl0_197
    | ~ spl0_17
    | ~ spl0_56 ),
    inference(avatar_split_clause,[],[f652,f564,f164,f2669]) ).

fof(f2669,plain,
    ( spl0_197
  <=> ! [X2,X3,X0,X1,X8,X6,X7,X4,X5] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(X6,X7),equivalent(X6,X8)),equivalent(X7,X8)),equivalent(equivalent(equivalent(equivalent(X0,X1),X2),X3),equivalent(equivalent(X4,X2),equivalent(equivalent(equivalent(X0,X5),X4),equivalent(equivalent(X1,X5),X3)))))),true,true,true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_197])]) ).

fof(f164,plain,
    ( spl0_17
  <=> ! [X0,X3,X2,X1] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),equivalent(X1,X2)),X3)),true,is_a_theorem(X3),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_17])]) ).

fof(f652,plain,
    ( ! [X2,X3,X0,X1,X8,X6,X7,X4,X5] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(X6,X7),equivalent(X6,X8)),equivalent(X7,X8)),equivalent(equivalent(equivalent(equivalent(X0,X1),X2),X3),equivalent(equivalent(X4,X2),equivalent(equivalent(equivalent(X0,X5),X4),equivalent(equivalent(X1,X5),X3)))))),true,true,true)
    | ~ spl0_17
    | ~ spl0_56 ),
    inference(superposition,[],[f165,f565]) ).

fof(f165,plain,
    ( ! [X2,X3,X0,X1] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),equivalent(X1,X2)),X3)),true,is_a_theorem(X3),true)
    | ~ spl0_17 ),
    inference(avatar_component_clause,[],[f164]) ).

fof(f2667,plain,
    ( spl0_196
    | ~ spl0_15
    | ~ spl0_56 ),
    inference(avatar_split_clause,[],[f639,f564,f136,f2665]) ).

fof(f2665,plain,
    ( spl0_196
  <=> ! [X5,X3,X4,X7,X0,X6,X2,X1] : true = ifeq(true,true,ifeq(is_a_theorem(equivalent(equivalent(equivalent(X0,X1),equivalent(equivalent(equivalent(X0,X2),equivalent(equivalent(equivalent(equivalent(X3,X4),equivalent(X3,X5)),X6),equivalent(equivalent(X4,X5),X6))),equivalent(equivalent(X1,X2),X7))),X7)),true,true,true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_196])]) ).

fof(f639,plain,
    ( ! [X2,X3,X0,X1,X6,X7,X4,X5] : true = ifeq(true,true,ifeq(is_a_theorem(equivalent(equivalent(equivalent(X0,X1),equivalent(equivalent(equivalent(X0,X2),equivalent(equivalent(equivalent(equivalent(X3,X4),equivalent(X3,X5)),X6),equivalent(equivalent(X4,X5),X6))),equivalent(equivalent(X1,X2),X7))),X7)),true,true,true),true)
    | ~ spl0_15
    | ~ spl0_56 ),
    inference(superposition,[],[f137,f565]) ).

fof(f2663,plain,
    ( spl0_195
    | ~ spl0_17
    | ~ spl0_55 ),
    inference(avatar_split_clause,[],[f596,f560,f164,f2661]) ).

fof(f2661,plain,
    ( spl0_195
  <=> ! [X2,X3,X0,X1,X8,X6,X7,X4,X5] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(X6,X7),equivalent(X6,X8)),equivalent(X7,X8)),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),X3),X4),X5),equivalent(equivalent(equivalent(equivalent(X1,X2),X3),X4),X5)))),true,true,true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_195])]) ).

fof(f596,plain,
    ( ! [X2,X3,X0,X1,X8,X6,X7,X4,X5] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(X6,X7),equivalent(X6,X8)),equivalent(X7,X8)),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),X3),X4),X5),equivalent(equivalent(equivalent(equivalent(X1,X2),X3),X4),X5)))),true,true,true)
    | ~ spl0_17
    | ~ spl0_55 ),
    inference(superposition,[],[f165,f561]) ).

fof(f2659,plain,
    ( spl0_194
    | ~ spl0_9
    | ~ spl0_54 ),
    inference(avatar_split_clause,[],[f569,f556,f66,f2657]) ).

fof(f2657,plain,
    ( spl0_194
  <=> ! [X2,X3,X0,X1,X8,X6,X7,X4,X5] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),X3),equivalent(equivalent(X3,equivalent(X1,X2)),X4)),X4),equivalent(equivalent(equivalent(equivalent(equivalent(X5,X6),equivalent(X5,X7)),equivalent(X6,X7)),X8),X8))),true,true,true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_194])]) ).

fof(f569,plain,
    ( ! [X2,X3,X0,X1,X8,X6,X7,X4,X5] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),X3),equivalent(equivalent(X3,equivalent(X1,X2)),X4)),X4),equivalent(equivalent(equivalent(equivalent(equivalent(X5,X6),equivalent(X5,X7)),equivalent(X6,X7)),X8),X8))),true,true,true)
    | ~ spl0_9
    | ~ spl0_54 ),
    inference(superposition,[],[f67,f557]) ).

fof(f2655,plain,
    ( spl0_193
    | ~ spl0_2
    | ~ spl0_9
    | ~ spl0_53 ),
    inference(avatar_split_clause,[],[f552,f513,f66,f13,f2653]) ).

fof(f2653,plain,
    ( spl0_193
  <=> ! [X2,X3,X0,X1,X8,X6,X7,X4,X5] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),X3),X4),equivalent(equivalent(equivalent(X1,X2),X3),X4)),equivalent(equivalent(equivalent(equivalent(equivalent(X5,X6),equivalent(X5,X7)),equivalent(X6,X7)),X8),X8))),true,true,true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_193])]) ).

fof(f552,plain,
    ( ! [X2,X3,X0,X1,X8,X6,X7,X4,X5] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),X3),X4),equivalent(equivalent(equivalent(X1,X2),X3),X4)),equivalent(equivalent(equivalent(equivalent(equivalent(X5,X6),equivalent(X5,X7)),equivalent(X6,X7)),X8),X8))),true,true,true)
    | ~ spl0_2
    | ~ spl0_9
    | ~ spl0_53 ),
    inference(forward_demodulation,[],[f537,f14]) ).

fof(f537,plain,
    ( ! [X2,X3,X0,X1,X8,X6,X7,X4,X5] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),X3),X4),equivalent(equivalent(equivalent(X1,X2),X3),X4)),equivalent(equivalent(equivalent(equivalent(equivalent(X5,X6),equivalent(X5,X7)),equivalent(X6,X7)),X8),X8))),true,ifeq(true,true,true,true),true)
    | ~ spl0_9
    | ~ spl0_53 ),
    inference(superposition,[],[f67,f514]) ).

fof(f2651,plain,
    ( spl0_192
    | ~ spl0_21
    | ~ spl0_53 ),
    inference(avatar_split_clause,[],[f544,f513,f191,f2649]) ).

fof(f2649,plain,
    ( spl0_192
  <=> ! [X2,X3,X0,X1,X8,X6,X7,X4,X5] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X5,X6),equivalent(X5,X7)),X8),equivalent(equivalent(X6,X7),X8)),equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),X3),X4),equivalent(equivalent(equivalent(X1,X2),X3),X4)))),true,true,true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_192])]) ).

fof(f544,plain,
    ( ! [X2,X3,X0,X1,X8,X6,X7,X4,X5] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X5,X6),equivalent(X5,X7)),X8),equivalent(equivalent(X6,X7),X8)),equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),X3),X4),equivalent(equivalent(equivalent(X1,X2),X3),X4)))),true,true,true)
    | ~ spl0_21
    | ~ spl0_53 ),
    inference(superposition,[],[f192,f514]) ).

fof(f2552,plain,
    ( spl0_191
    | ~ spl0_8
    | ~ spl0_53 ),
    inference(avatar_split_clause,[],[f536,f513,f49,f2550]) ).

fof(f2550,plain,
    ( spl0_191
  <=> ! [X2,X3,X0,X1,X8,X6,X7,X4,X5] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X5,X6),equivalent(X5,X7)),equivalent(X6,X7)),X8),X8),equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),X3),X4),equivalent(equivalent(equivalent(X1,X2),X3),X4)))),true,true,true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_191])]) ).

fof(f536,plain,
    ( ! [X2,X3,X0,X1,X8,X6,X7,X4,X5] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X5,X6),equivalent(X5,X7)),equivalent(X6,X7)),X8),X8),equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),X3),X4),equivalent(equivalent(equivalent(X1,X2),X3),X4)))),true,true,true)
    | ~ spl0_8
    | ~ spl0_53 ),
    inference(superposition,[],[f50,f514]) ).

fof(f2547,plain,
    ( spl0_190
    | ~ spl0_7
    | ~ spl0_53 ),
    inference(avatar_split_clause,[],[f535,f513,f45,f2545]) ).

fof(f2545,plain,
    ( spl0_190
  <=> ! [X5,X6,X4,X0,X7,X3,X2,X1] : true = ifeq(true,true,ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(X5,X6),equivalent(X5,X7)),equivalent(X6,X7)),equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),X3),X4),equivalent(equivalent(equivalent(X1,X2),X3),X4)))),true,true,true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_190])]) ).

fof(f535,plain,
    ( ! [X2,X3,X0,X1,X6,X7,X4,X5] : true = ifeq(true,true,ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(X5,X6),equivalent(X5,X7)),equivalent(X6,X7)),equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),X3),X4),equivalent(equivalent(equivalent(X1,X2),X3),X4)))),true,true,true),true)
    | ~ spl0_7
    | ~ spl0_53 ),
    inference(superposition,[],[f46,f514]) ).

fof(f2543,plain,
    ( spl0_189
    | ~ spl0_2
    | ~ spl0_16
    | ~ spl0_50 ),
    inference(avatar_split_clause,[],[f507,f430,f140,f13,f2541]) ).

fof(f2541,plain,
    ( spl0_189
  <=> ! [X2,X3,X0,X1,X8,X6,X7,X4,X5] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(X0,X1),X2),equivalent(equivalent(X3,X1),equivalent(equivalent(X0,X3),X2))),equivalent(equivalent(equivalent(equivalent(X4,X5),X6),X7),equivalent(equivalent(equivalent(X4,X8),X6),equivalent(equivalent(X5,X8),X7))))),true,true,true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_189])]) ).

fof(f507,plain,
    ( ! [X2,X3,X0,X1,X8,X6,X7,X4,X5] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(X0,X1),X2),equivalent(equivalent(X3,X1),equivalent(equivalent(X0,X3),X2))),equivalent(equivalent(equivalent(equivalent(X4,X5),X6),X7),equivalent(equivalent(equivalent(X4,X8),X6),equivalent(equivalent(X5,X8),X7))))),true,true,true)
    | ~ spl0_2
    | ~ spl0_16
    | ~ spl0_50 ),
    inference(forward_demodulation,[],[f495,f14]) ).

fof(f495,plain,
    ( ! [X2,X3,X0,X1,X8,X6,X7,X4,X5] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(X0,X1),X2),equivalent(equivalent(X3,X1),equivalent(equivalent(X0,X3),X2))),equivalent(equivalent(equivalent(equivalent(X4,X5),X6),X7),equivalent(equivalent(equivalent(X4,X8),X6),equivalent(equivalent(X5,X8),X7))))),true,ifeq(true,true,true,true),true)
    | ~ spl0_16
    | ~ spl0_50 ),
    inference(superposition,[],[f141,f431]) ).

fof(f2539,plain,
    ( spl0_188
    | ~ spl0_2
    | ~ spl0_15
    | ~ spl0_50 ),
    inference(avatar_split_clause,[],[f506,f430,f136,f13,f2537]) ).

fof(f2537,plain,
    ( spl0_188
  <=> ! [X2,X3,X0,X1,X8,X6,X7,X4,X5] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(X0,X1),X2),equivalent(equivalent(X3,X1),equivalent(equivalent(X0,X3),X2))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X4,X5),equivalent(X4,X6)),X7),equivalent(equivalent(X5,X6),X7)),X8),X8))),true,true,true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_188])]) ).

fof(f506,plain,
    ( ! [X2,X3,X0,X1,X8,X6,X7,X4,X5] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(X0,X1),X2),equivalent(equivalent(X3,X1),equivalent(equivalent(X0,X3),X2))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X4,X5),equivalent(X4,X6)),X7),equivalent(equivalent(X5,X6),X7)),X8),X8))),true,true,true)
    | ~ spl0_2
    | ~ spl0_15
    | ~ spl0_50 ),
    inference(forward_demodulation,[],[f494,f14]) ).

fof(f494,plain,
    ( ! [X2,X3,X0,X1,X8,X6,X7,X4,X5] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(X0,X1),X2),equivalent(equivalent(X3,X1),equivalent(equivalent(X0,X3),X2))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X4,X5),equivalent(X4,X6)),X7),equivalent(equivalent(X5,X6),X7)),X8),X8))),true,ifeq(true,true,true,true),true)
    | ~ spl0_15
    | ~ spl0_50 ),
    inference(superposition,[],[f137,f431]) ).

fof(f2535,plain,
    ( spl0_187
    | ~ spl0_13
    | ~ spl0_50 ),
    inference(avatar_split_clause,[],[f493,f430,f82,f2533]) ).

fof(f2533,plain,
    ( spl0_187
  <=> ! [X2,X3,X0,X1,X8,X6,X7,X4,X5] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X4,X5),X6),X7),equivalent(equivalent(equivalent(X4,X8),X6),equivalent(equivalent(X5,X8),X7))),equivalent(equivalent(equivalent(X0,X1),X2),equivalent(equivalent(X3,X1),equivalent(equivalent(X0,X3),X2))))),true,true,true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_187])]) ).

fof(f493,plain,
    ( ! [X2,X3,X0,X1,X8,X6,X7,X4,X5] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X4,X5),X6),X7),equivalent(equivalent(equivalent(X4,X8),X6),equivalent(equivalent(X5,X8),X7))),equivalent(equivalent(equivalent(X0,X1),X2),equivalent(equivalent(X3,X1),equivalent(equivalent(X0,X3),X2))))),true,true,true)
    | ~ spl0_13
    | ~ spl0_50 ),
    inference(superposition,[],[f83,f431]) ).

fof(f2531,plain,
    ( spl0_186
    | ~ spl0_11
    | ~ spl0_50 ),
    inference(avatar_split_clause,[],[f492,f430,f74,f2529]) ).

fof(f2529,plain,
    ( spl0_186
  <=> ! [X2,X3,X0,X1,X8,X6,X7,X4,X5] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X4,X5),equivalent(X4,X6)),X7),equivalent(equivalent(X5,X6),X7)),X8),X8),equivalent(equivalent(equivalent(X0,X1),X2),equivalent(equivalent(X3,X1),equivalent(equivalent(X0,X3),X2))))),true,true,true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_186])]) ).

fof(f492,plain,
    ( ! [X2,X3,X0,X1,X8,X6,X7,X4,X5] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X4,X5),equivalent(X4,X6)),X7),equivalent(equivalent(X5,X6),X7)),X8),X8),equivalent(equivalent(equivalent(X0,X1),X2),equivalent(equivalent(X3,X1),equivalent(equivalent(X0,X3),X2))))),true,true,true)
    | ~ spl0_11
    | ~ spl0_50 ),
    inference(superposition,[],[f75,f431]) ).

fof(f2526,plain,
    ( spl0_185
    | ~ spl0_10
    | ~ spl0_50 ),
    inference(avatar_split_clause,[],[f491,f430,f70,f2524]) ).

fof(f2524,plain,
    ( spl0_185
  <=> ! [X5,X6,X4,X0,X7,X3,X2,X1] : true = ifeq(true,true,ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X4,X5),equivalent(X4,X6)),X7),equivalent(equivalent(X5,X6),X7)),equivalent(equivalent(equivalent(X0,X1),X2),equivalent(equivalent(X3,X1),equivalent(equivalent(X0,X3),X2))))),true,true,true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_185])]) ).

fof(f491,plain,
    ( ! [X2,X3,X0,X1,X6,X7,X4,X5] : true = ifeq(true,true,ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X4,X5),equivalent(X4,X6)),X7),equivalent(equivalent(X5,X6),X7)),equivalent(equivalent(equivalent(X0,X1),X2),equivalent(equivalent(X3,X1),equivalent(equivalent(X0,X3),X2))))),true,true,true),true)
    | ~ spl0_10
    | ~ spl0_50 ),
    inference(superposition,[],[f71,f431]) ).

fof(f2522,plain,
    ( spl0_184
    | ~ spl0_2
    | ~ spl0_16
    | ~ spl0_49 ),
    inference(avatar_split_clause,[],[f466,f426,f140,f13,f2520]) ).

fof(f2520,plain,
    ( spl0_184
  <=> ! [X2,X3,X0,X1,X8,X6,X7,X4,X5] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),equivalent(equivalent(X3,X1),equivalent(X3,X2))),equivalent(equivalent(equivalent(equivalent(X4,X5),X6),X7),equivalent(equivalent(equivalent(X4,X8),X6),equivalent(equivalent(X5,X8),X7))))),true,true,true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_184])]) ).

fof(f426,plain,
    ( spl0_49
  <=> ! [X0,X3,X2,X1] : true = is_a_theorem(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),equivalent(equivalent(X3,X1),equivalent(X3,X2)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_49])]) ).

fof(f466,plain,
    ( ! [X2,X3,X0,X1,X8,X6,X7,X4,X5] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),equivalent(equivalent(X3,X1),equivalent(X3,X2))),equivalent(equivalent(equivalent(equivalent(X4,X5),X6),X7),equivalent(equivalent(equivalent(X4,X8),X6),equivalent(equivalent(X5,X8),X7))))),true,true,true)
    | ~ spl0_2
    | ~ spl0_16
    | ~ spl0_49 ),
    inference(forward_demodulation,[],[f458,f14]) ).

fof(f458,plain,
    ( ! [X2,X3,X0,X1,X8,X6,X7,X4,X5] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),equivalent(equivalent(X3,X1),equivalent(X3,X2))),equivalent(equivalent(equivalent(equivalent(X4,X5),X6),X7),equivalent(equivalent(equivalent(X4,X8),X6),equivalent(equivalent(X5,X8),X7))))),true,ifeq(true,true,true,true),true)
    | ~ spl0_16
    | ~ spl0_49 ),
    inference(superposition,[],[f141,f427]) ).

fof(f427,plain,
    ( ! [X2,X3,X0,X1] : true = is_a_theorem(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),equivalent(equivalent(X3,X1),equivalent(X3,X2))))
    | ~ spl0_49 ),
    inference(avatar_component_clause,[],[f426]) ).

fof(f2518,plain,
    ( spl0_183
    | ~ spl0_2
    | ~ spl0_15
    | ~ spl0_49 ),
    inference(avatar_split_clause,[],[f465,f426,f136,f13,f2516]) ).

fof(f2516,plain,
    ( spl0_183
  <=> ! [X2,X3,X0,X1,X8,X6,X7,X4,X5] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),equivalent(equivalent(X3,X1),equivalent(X3,X2))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X4,X5),equivalent(X4,X6)),X7),equivalent(equivalent(X5,X6),X7)),X8),X8))),true,true,true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_183])]) ).

fof(f465,plain,
    ( ! [X2,X3,X0,X1,X8,X6,X7,X4,X5] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),equivalent(equivalent(X3,X1),equivalent(X3,X2))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X4,X5),equivalent(X4,X6)),X7),equivalent(equivalent(X5,X6),X7)),X8),X8))),true,true,true)
    | ~ spl0_2
    | ~ spl0_15
    | ~ spl0_49 ),
    inference(forward_demodulation,[],[f457,f14]) ).

fof(f457,plain,
    ( ! [X2,X3,X0,X1,X8,X6,X7,X4,X5] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),equivalent(equivalent(X3,X1),equivalent(X3,X2))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X4,X5),equivalent(X4,X6)),X7),equivalent(equivalent(X5,X6),X7)),X8),X8))),true,ifeq(true,true,true,true),true)
    | ~ spl0_15
    | ~ spl0_49 ),
    inference(superposition,[],[f137,f427]) ).

fof(f2514,plain,
    ( spl0_182
    | ~ spl0_13
    | ~ spl0_49 ),
    inference(avatar_split_clause,[],[f456,f426,f82,f2512]) ).

fof(f2512,plain,
    ( spl0_182
  <=> ! [X2,X3,X0,X1,X8,X6,X7,X4,X5] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X4,X5),X6),X7),equivalent(equivalent(equivalent(X4,X8),X6),equivalent(equivalent(X5,X8),X7))),equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),equivalent(equivalent(X3,X1),equivalent(X3,X2))))),true,true,true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_182])]) ).

fof(f456,plain,
    ( ! [X2,X3,X0,X1,X8,X6,X7,X4,X5] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X4,X5),X6),X7),equivalent(equivalent(equivalent(X4,X8),X6),equivalent(equivalent(X5,X8),X7))),equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),equivalent(equivalent(X3,X1),equivalent(X3,X2))))),true,true,true)
    | ~ spl0_13
    | ~ spl0_49 ),
    inference(superposition,[],[f83,f427]) ).

fof(f2489,plain,
    ( spl0_181
    | ~ spl0_11
    | ~ spl0_49 ),
    inference(avatar_split_clause,[],[f455,f426,f74,f2487]) ).

fof(f2487,plain,
    ( spl0_181
  <=> ! [X2,X3,X0,X1,X8,X6,X7,X4,X5] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X4,X5),equivalent(X4,X6)),X7),equivalent(equivalent(X5,X6),X7)),X8),X8),equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),equivalent(equivalent(X3,X1),equivalent(X3,X2))))),true,true,true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_181])]) ).

fof(f455,plain,
    ( ! [X2,X3,X0,X1,X8,X6,X7,X4,X5] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X4,X5),equivalent(X4,X6)),X7),equivalent(equivalent(X5,X6),X7)),X8),X8),equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),equivalent(equivalent(X3,X1),equivalent(X3,X2))))),true,true,true)
    | ~ spl0_11
    | ~ spl0_49 ),
    inference(superposition,[],[f75,f427]) ).

fof(f2484,plain,
    ( spl0_180
    | ~ spl0_10
    | ~ spl0_49 ),
    inference(avatar_split_clause,[],[f454,f426,f70,f2482]) ).

fof(f2482,plain,
    ( spl0_180
  <=> ! [X5,X6,X4,X0,X7,X3,X2,X1] : true = ifeq(true,true,ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X4,X5),equivalent(X4,X6)),X7),equivalent(equivalent(X5,X6),X7)),equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),equivalent(equivalent(X3,X1),equivalent(X3,X2))))),true,true,true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_180])]) ).

fof(f454,plain,
    ( ! [X2,X3,X0,X1,X6,X7,X4,X5] : true = ifeq(true,true,ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X4,X5),equivalent(X4,X6)),X7),equivalent(equivalent(X5,X6),X7)),equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),equivalent(equivalent(X3,X1),equivalent(X3,X2))))),true,true,true),true)
    | ~ spl0_10
    | ~ spl0_49 ),
    inference(superposition,[],[f71,f427]) ).

fof(f2403,plain,
    ( spl0_179
    | ~ spl0_9
    | ~ spl0_56 ),
    inference(avatar_split_clause,[],[f638,f564,f66,f2401]) ).

fof(f2401,plain,
    ( spl0_179
  <=> ! [X5,X3,X4,X0,X6,X2,X1] : true = ifeq(true,true,ifeq(is_a_theorem(equivalent(equivalent(equivalent(X0,X1),equivalent(equivalent(equivalent(X0,X2),equivalent(equivalent(equivalent(X3,X4),equivalent(X3,X5)),equivalent(X4,X5))),equivalent(equivalent(X1,X2),X6))),X6)),true,true,true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_179])]) ).

fof(f638,plain,
    ( ! [X2,X3,X0,X1,X6,X4,X5] : true = ifeq(true,true,ifeq(is_a_theorem(equivalent(equivalent(equivalent(X0,X1),equivalent(equivalent(equivalent(X0,X2),equivalent(equivalent(equivalent(X3,X4),equivalent(X3,X5)),equivalent(X4,X5))),equivalent(equivalent(X1,X2),X6))),X6)),true,true,true),true)
    | ~ spl0_9
    | ~ spl0_56 ),
    inference(superposition,[],[f67,f565]) ).

fof(f2399,plain,
    ( spl0_178
    | ~ spl0_17
    | ~ spl0_53 ),
    inference(avatar_split_clause,[],[f543,f513,f164,f2397]) ).

fof(f2397,plain,
    ( spl0_178
  <=> ! [X5,X6,X4,X0,X7,X3,X2,X1] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(X5,X6),equivalent(X5,X7)),equivalent(X6,X7)),equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),X3),X4),equivalent(equivalent(equivalent(X1,X2),X3),X4)))),true,true,true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_178])]) ).

fof(f543,plain,
    ( ! [X2,X3,X0,X1,X6,X7,X4,X5] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(X5,X6),equivalent(X5,X7)),equivalent(X6,X7)),equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),X3),X4),equivalent(equivalent(equivalent(X1,X2),X3),X4)))),true,true,true)
    | ~ spl0_17
    | ~ spl0_53 ),
    inference(superposition,[],[f165,f514]) ).

fof(f2395,plain,
    ( spl0_177
    | ~ spl0_2
    | ~ spl0_9
    | ~ spl0_50 ),
    inference(avatar_split_clause,[],[f505,f430,f66,f13,f2393]) ).

fof(f2393,plain,
    ( spl0_177
  <=> ! [X5,X3,X4,X7,X0,X6,X2,X1] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(X0,X1),X2),equivalent(equivalent(X3,X1),equivalent(equivalent(X0,X3),X2))),equivalent(equivalent(equivalent(equivalent(equivalent(X4,X5),equivalent(X4,X6)),equivalent(X5,X6)),X7),X7))),true,true,true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_177])]) ).

fof(f505,plain,
    ( ! [X2,X3,X0,X1,X6,X7,X4,X5] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(X0,X1),X2),equivalent(equivalent(X3,X1),equivalent(equivalent(X0,X3),X2))),equivalent(equivalent(equivalent(equivalent(equivalent(X4,X5),equivalent(X4,X6)),equivalent(X5,X6)),X7),X7))),true,true,true)
    | ~ spl0_2
    | ~ spl0_9
    | ~ spl0_50 ),
    inference(forward_demodulation,[],[f490,f14]) ).

fof(f490,plain,
    ( ! [X2,X3,X0,X1,X6,X7,X4,X5] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(X0,X1),X2),equivalent(equivalent(X3,X1),equivalent(equivalent(X0,X3),X2))),equivalent(equivalent(equivalent(equivalent(equivalent(X4,X5),equivalent(X4,X6)),equivalent(X5,X6)),X7),X7))),true,ifeq(true,true,true,true),true)
    | ~ spl0_9
    | ~ spl0_50 ),
    inference(superposition,[],[f67,f431]) ).

fof(f2391,plain,
    ( spl0_176
    | ~ spl0_21
    | ~ spl0_50 ),
    inference(avatar_split_clause,[],[f497,f430,f191,f2389]) ).

fof(f2389,plain,
    ( spl0_176
  <=> ! [X5,X6,X4,X0,X7,X3,X2,X1] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X4,X5),equivalent(X4,X6)),X7),equivalent(equivalent(X5,X6),X7)),equivalent(equivalent(equivalent(X0,X1),X2),equivalent(equivalent(X3,X1),equivalent(equivalent(X0,X3),X2))))),true,true,true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_176])]) ).

fof(f497,plain,
    ( ! [X2,X3,X0,X1,X6,X7,X4,X5] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X4,X5),equivalent(X4,X6)),X7),equivalent(equivalent(X5,X6),X7)),equivalent(equivalent(equivalent(X0,X1),X2),equivalent(equivalent(X3,X1),equivalent(equivalent(X0,X3),X2))))),true,true,true)
    | ~ spl0_21
    | ~ spl0_50 ),
    inference(superposition,[],[f192,f431]) ).

fof(f2387,plain,
    ( spl0_175
    | ~ spl0_8
    | ~ spl0_50 ),
    inference(avatar_split_clause,[],[f489,f430,f49,f2385]) ).

fof(f2385,plain,
    ( spl0_175
  <=> ! [X5,X6,X4,X0,X7,X3,X2,X1] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X4,X5),equivalent(X4,X6)),equivalent(X5,X6)),X7),X7),equivalent(equivalent(equivalent(X0,X1),X2),equivalent(equivalent(X3,X1),equivalent(equivalent(X0,X3),X2))))),true,true,true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_175])]) ).

fof(f489,plain,
    ( ! [X2,X3,X0,X1,X6,X7,X4,X5] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X4,X5),equivalent(X4,X6)),equivalent(X5,X6)),X7),X7),equivalent(equivalent(equivalent(X0,X1),X2),equivalent(equivalent(X3,X1),equivalent(equivalent(X0,X3),X2))))),true,true,true)
    | ~ spl0_8
    | ~ spl0_50 ),
    inference(superposition,[],[f50,f431]) ).

fof(f2382,plain,
    ( spl0_174
    | ~ spl0_7
    | ~ spl0_50 ),
    inference(avatar_split_clause,[],[f488,f430,f45,f2380]) ).

fof(f2380,plain,
    ( spl0_174
  <=> ! [X5,X6,X4,X0,X3,X2,X1] : true = ifeq(true,true,ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(X4,X5),equivalent(X4,X6)),equivalent(X5,X6)),equivalent(equivalent(equivalent(X0,X1),X2),equivalent(equivalent(X3,X1),equivalent(equivalent(X0,X3),X2))))),true,true,true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_174])]) ).

fof(f488,plain,
    ( ! [X2,X3,X0,X1,X6,X4,X5] : true = ifeq(true,true,ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(X4,X5),equivalent(X4,X6)),equivalent(X5,X6)),equivalent(equivalent(equivalent(X0,X1),X2),equivalent(equivalent(X3,X1),equivalent(equivalent(X0,X3),X2))))),true,true,true),true)
    | ~ spl0_7
    | ~ spl0_50 ),
    inference(superposition,[],[f46,f431]) ).

fof(f2378,plain,
    ( spl0_173
    | ~ spl0_2
    | ~ spl0_9
    | ~ spl0_49 ),
    inference(avatar_split_clause,[],[f464,f426,f66,f13,f2376]) ).

fof(f2376,plain,
    ( spl0_173
  <=> ! [X5,X3,X4,X7,X0,X6,X2,X1] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),equivalent(equivalent(X3,X1),equivalent(X3,X2))),equivalent(equivalent(equivalent(equivalent(equivalent(X4,X5),equivalent(X4,X6)),equivalent(X5,X6)),X7),X7))),true,true,true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_173])]) ).

fof(f464,plain,
    ( ! [X2,X3,X0,X1,X6,X7,X4,X5] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),equivalent(equivalent(X3,X1),equivalent(X3,X2))),equivalent(equivalent(equivalent(equivalent(equivalent(X4,X5),equivalent(X4,X6)),equivalent(X5,X6)),X7),X7))),true,true,true)
    | ~ spl0_2
    | ~ spl0_9
    | ~ spl0_49 ),
    inference(forward_demodulation,[],[f453,f14]) ).

fof(f453,plain,
    ( ! [X2,X3,X0,X1,X6,X7,X4,X5] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),equivalent(equivalent(X3,X1),equivalent(X3,X2))),equivalent(equivalent(equivalent(equivalent(equivalent(X4,X5),equivalent(X4,X6)),equivalent(X5,X6)),X7),X7))),true,ifeq(true,true,true,true),true)
    | ~ spl0_9
    | ~ spl0_49 ),
    inference(superposition,[],[f67,f427]) ).

fof(f2374,plain,
    ( spl0_172
    | ~ spl0_21
    | ~ spl0_49 ),
    inference(avatar_split_clause,[],[f460,f426,f191,f2372]) ).

fof(f2372,plain,
    ( spl0_172
  <=> ! [X5,X6,X4,X0,X7,X3,X2,X1] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X4,X5),equivalent(X4,X6)),X7),equivalent(equivalent(X5,X6),X7)),equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),equivalent(equivalent(X3,X1),equivalent(X3,X2))))),true,true,true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_172])]) ).

fof(f460,plain,
    ( ! [X2,X3,X0,X1,X6,X7,X4,X5] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X4,X5),equivalent(X4,X6)),X7),equivalent(equivalent(X5,X6),X7)),equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),equivalent(equivalent(X3,X1),equivalent(X3,X2))))),true,true,true)
    | ~ spl0_21
    | ~ spl0_49 ),
    inference(superposition,[],[f192,f427]) ).

fof(f2370,plain,
    ( spl0_171
    | ~ spl0_8
    | ~ spl0_49 ),
    inference(avatar_split_clause,[],[f452,f426,f49,f2368]) ).

fof(f2368,plain,
    ( spl0_171
  <=> ! [X5,X6,X4,X0,X7,X3,X2,X1] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X4,X5),equivalent(X4,X6)),equivalent(X5,X6)),X7),X7),equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),equivalent(equivalent(X3,X1),equivalent(X3,X2))))),true,true,true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_171])]) ).

fof(f452,plain,
    ( ! [X2,X3,X0,X1,X6,X7,X4,X5] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X4,X5),equivalent(X4,X6)),equivalent(X5,X6)),X7),X7),equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),equivalent(equivalent(X3,X1),equivalent(X3,X2))))),true,true,true)
    | ~ spl0_8
    | ~ spl0_49 ),
    inference(superposition,[],[f50,f427]) ).

fof(f2365,plain,
    ( spl0_170
    | ~ spl0_7
    | ~ spl0_49 ),
    inference(avatar_split_clause,[],[f451,f426,f45,f2363]) ).

fof(f2363,plain,
    ( spl0_170
  <=> ! [X5,X6,X4,X0,X3,X2,X1] : true = ifeq(true,true,ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(X4,X5),equivalent(X4,X6)),equivalent(X5,X6)),equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),equivalent(equivalent(X3,X1),equivalent(X3,X2))))),true,true,true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_170])]) ).

fof(f451,plain,
    ( ! [X2,X3,X0,X1,X6,X4,X5] : true = ifeq(true,true,ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(X4,X5),equivalent(X4,X6)),equivalent(X5,X6)),equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),equivalent(equivalent(X3,X1),equivalent(X3,X2))))),true,true,true),true)
    | ~ spl0_7
    | ~ spl0_49 ),
    inference(superposition,[],[f46,f427]) ).

fof(f2361,plain,
    ( spl0_169
    | ~ spl0_2
    | ~ spl0_153 ),
    inference(avatar_split_clause,[],[f2141,f1989,f13,f2359]) ).

fof(f2359,plain,
    ( spl0_169
  <=> ! [X0] : true = ifeq(is_a_theorem(X0),true,is_a_theorem(X0),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_169])]) ).

fof(f1989,plain,
    ( spl0_153
  <=> ! [X0] : true = ifeq(true,true,ifeq(is_a_theorem(X0),true,is_a_theorem(X0),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_153])]) ).

fof(f2141,plain,
    ( ! [X0] : true = ifeq(is_a_theorem(X0),true,is_a_theorem(X0),true)
    | ~ spl0_2
    | ~ spl0_153 ),
    inference(superposition,[],[f1990,f14]) ).

fof(f1990,plain,
    ( ! [X0] : true = ifeq(true,true,ifeq(is_a_theorem(X0),true,is_a_theorem(X0),true),true)
    | ~ spl0_153 ),
    inference(avatar_component_clause,[],[f1989]) ).

fof(f2172,plain,
    ( spl0_168
    | ~ spl0_3
    | ~ spl0_56 ),
    inference(avatar_split_clause,[],[f643,f564,f17,f2170]) ).

fof(f2170,plain,
    ( spl0_168
  <=> ! [X5,X3,X4,X2,X0,X6,X1] : true = ifeq(is_a_theorem(equivalent(X6,equivalent(equivalent(equivalent(equivalent(X0,X1),X2),X3),equivalent(equivalent(X4,X2),equivalent(equivalent(equivalent(X0,X5),X4),equivalent(equivalent(X1,X5),X3)))))),true,ifeq(is_a_theorem(X6),true,true,true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_168])]) ).

fof(f643,plain,
    ( ! [X2,X3,X0,X1,X6,X4,X5] : true = ifeq(is_a_theorem(equivalent(X6,equivalent(equivalent(equivalent(equivalent(X0,X1),X2),X3),equivalent(equivalent(X4,X2),equivalent(equivalent(equivalent(X0,X5),X4),equivalent(equivalent(X1,X5),X3)))))),true,ifeq(is_a_theorem(X6),true,true,true),true)
    | ~ spl0_3
    | ~ spl0_56 ),
    inference(superposition,[],[f18,f565]) ).

fof(f2168,plain,
    ( spl0_167
    | ~ spl0_3
    | ~ spl0_55 ),
    inference(avatar_split_clause,[],[f587,f560,f17,f2166]) ).

fof(f2166,plain,
    ( spl0_167
  <=> ! [X5,X4,X2,X0,X6,X3,X1] : true = ifeq(is_a_theorem(equivalent(X6,equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),X3),X4),X5),equivalent(equivalent(equivalent(equivalent(X1,X2),X3),X4),X5)))),true,ifeq(is_a_theorem(X6),true,true,true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_167])]) ).

fof(f587,plain,
    ( ! [X2,X3,X0,X1,X6,X4,X5] : true = ifeq(is_a_theorem(equivalent(X6,equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),X3),X4),X5),equivalent(equivalent(equivalent(equivalent(X1,X2),X3),X4),X5)))),true,ifeq(is_a_theorem(X6),true,true,true),true)
    | ~ spl0_3
    | ~ spl0_55 ),
    inference(superposition,[],[f18,f561]) ).

fof(f2109,plain,
    ( spl0_166
    | ~ spl0_11
    | ~ spl0_56 ),
    inference(avatar_split_clause,[],[f635,f564,f74,f2107]) ).

fof(f635,plain,
    ( ! [X2,X3,X0,X1,X6,X4,X5] : true = ifeq(true,true,is_a_theorem(equivalent(equivalent(X5,X4),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),X3),X6),X5),equivalent(equivalent(equivalent(equivalent(X1,X2),X3),X6),X4)))),true)
    | ~ spl0_11
    | ~ spl0_56 ),
    inference(superposition,[],[f75,f565]) ).

fof(f2105,plain,
    ( spl0_165
    | ~ spl0_13
    | ~ spl0_56 ),
    inference(avatar_split_clause,[],[f634,f564,f82,f2103]) ).

fof(f634,plain,
    ( ! [X2,X3,X0,X1,X6,X4,X5] : true = ifeq(true,true,is_a_theorem(equivalent(equivalent(X5,X3),equivalent(equivalent(equivalent(equivalent(X0,X1),X6),X5),equivalent(equivalent(X2,X6),equivalent(equivalent(equivalent(X0,X4),X2),equivalent(equivalent(X1,X4),X3)))))),true)
    | ~ spl0_13
    | ~ spl0_56 ),
    inference(superposition,[],[f83,f565]) ).

fof(f2101,plain,
    ( spl0_164
    | ~ spl0_22
    | ~ spl0_56 ),
    inference(avatar_split_clause,[],[f628,f564,f195,f2099]) ).

fof(f628,plain,
    ( ! [X2,X3,X0,X1,X6,X4,X5] : true = ifeq(true,true,is_a_theorem(equivalent(equivalent(equivalent(equivalent(X0,X1),X6),X3),equivalent(equivalent(X2,X6),equivalent(equivalent(X4,X2),equivalent(equivalent(equivalent(X0,X5),X4),equivalent(equivalent(X1,X5),X3)))))),true)
    | ~ spl0_22
    | ~ spl0_56 ),
    inference(superposition,[],[f196,f565]) ).

fof(f2097,plain,
    ( spl0_163
    | ~ spl0_16
    | ~ spl0_55 ),
    inference(avatar_split_clause,[],[f584,f560,f140,f2095]) ).

fof(f584,plain,
    ( ! [X2,X3,X0,X1,X4,X5] : true = ifeq(true,true,ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),X3),X4),equivalent(equivalent(equivalent(X1,X5),X3),equivalent(equivalent(X2,X5),X4)))),true,true,true),true)
    | ~ spl0_16
    | ~ spl0_55 ),
    inference(superposition,[],[f141,f561]) ).

fof(f2093,plain,
    ( spl0_162
    | ~ spl0_15
    | ~ spl0_55 ),
    inference(avatar_split_clause,[],[f583,f560,f136,f2091]) ).

fof(f583,plain,
    ( ! [X2,X3,X0,X1,X4,X5] : true = ifeq(true,true,ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X0,equivalent(equivalent(X1,X2),equivalent(X1,X3))),equivalent(X0,X4)),equivalent(equivalent(X2,X3),X4)),X5),X5)),true,true,true),true)
    | ~ spl0_15
    | ~ spl0_55 ),
    inference(superposition,[],[f137,f561]) ).

fof(f2089,plain,
    ( spl0_161
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_146 ),
    inference(avatar_split_clause,[],[f1828,f1707,f17,f13,f2087]) ).

fof(f1828,plain,
    ( ! [X0,X1] : true = ifeq(is_a_theorem(equivalent(equivalent(X0,X0),X1)),true,is_a_theorem(X1),true)
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_146 ),
    inference(forward_demodulation,[],[f1783,f14]) ).

fof(f1783,plain,
    ( ! [X0,X1] : true = ifeq(is_a_theorem(equivalent(equivalent(X0,X0),X1)),true,ifeq(true,true,is_a_theorem(X1),true),true)
    | ~ spl0_3
    | ~ spl0_146 ),
    inference(superposition,[],[f18,f1708]) ).

fof(f2085,plain,
    ( spl0_160
    | ~ spl0_22
    | ~ spl0_55 ),
    inference(avatar_split_clause,[],[f572,f560,f195,f2083]) ).

fof(f572,plain,
    ( ! [X2,X3,X0,X1,X6,X4,X5] : true = ifeq(true,true,is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),X3),X6),X5),equivalent(equivalent(X4,X6),equivalent(equivalent(equivalent(equivalent(X1,X2),X3),X4),X5)))),true)
    | ~ spl0_22
    | ~ spl0_55 ),
    inference(superposition,[],[f196,f561]) ).

fof(f2081,plain,
    ( spl0_159
    | ~ spl0_16
    | ~ spl0_53 ),
    inference(avatar_split_clause,[],[f531,f513,f140,f2079]) ).

fof(f531,plain,
    ( ! [X2,X3,X0,X1,X4,X5] : true = ifeq(true,true,ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(X0,equivalent(X1,X2)),equivalent(X0,X3)),X4),equivalent(equivalent(equivalent(X1,X5),X3),equivalent(equivalent(X2,X5),X4)))),true,true,true),true)
    | ~ spl0_16
    | ~ spl0_53 ),
    inference(superposition,[],[f141,f514]) ).

fof(f2077,plain,
    ( spl0_158
    | ~ spl0_15
    | ~ spl0_53 ),
    inference(avatar_split_clause,[],[f530,f513,f136,f2075]) ).

fof(f530,plain,
    ( ! [X2,X3,X0,X1,X4,X5] : true = ifeq(true,true,ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(X0,equivalent(equivalent(equivalent(X1,X2),equivalent(X1,X3)),X4)),equivalent(X0,equivalent(equivalent(X2,X3),X4))),X5),X5)),true,true,true),true)
    | ~ spl0_15
    | ~ spl0_53 ),
    inference(superposition,[],[f137,f514]) ).

fof(f2073,plain,
    ( spl0_157
    | ~ spl0_17
    | ~ spl0_50 ),
    inference(avatar_split_clause,[],[f496,f430,f164,f2071]) ).

fof(f2071,plain,
    ( spl0_157
  <=> ! [X5,X6,X4,X0,X3,X2,X1] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(X4,X5),equivalent(X4,X6)),equivalent(X5,X6)),equivalent(equivalent(equivalent(X0,X1),X2),equivalent(equivalent(X3,X1),equivalent(equivalent(X0,X3),X2))))),true,true,true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_157])]) ).

fof(f496,plain,
    ( ! [X2,X3,X0,X1,X6,X4,X5] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(X4,X5),equivalent(X4,X6)),equivalent(X5,X6)),equivalent(equivalent(equivalent(X0,X1),X2),equivalent(equivalent(X3,X1),equivalent(equivalent(X0,X3),X2))))),true,true,true)
    | ~ spl0_17
    | ~ spl0_50 ),
    inference(superposition,[],[f165,f431]) ).

fof(f2069,plain,
    ( spl0_156
    | ~ spl0_15
    | ~ spl0_50 ),
    inference(avatar_split_clause,[],[f484,f430,f136,f2067]) ).

fof(f484,plain,
    ( ! [X2,X3,X0,X1,X4,X5] : true = ifeq(true,true,ifeq(is_a_theorem(equivalent(equivalent(X0,equivalent(equivalent(X0,equivalent(equivalent(equivalent(equivalent(X1,X2),equivalent(X1,X3)),X4),equivalent(equivalent(X2,X3),X4))),X5)),X5)),true,true,true),true)
    | ~ spl0_15
    | ~ spl0_50 ),
    inference(superposition,[],[f137,f431]) ).

fof(f2065,plain,
    ( spl0_155
    | ~ spl0_17
    | ~ spl0_49 ),
    inference(avatar_split_clause,[],[f459,f426,f164,f2063]) ).

fof(f2063,plain,
    ( spl0_155
  <=> ! [X5,X6,X4,X0,X3,X2,X1] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(X4,X5),equivalent(X4,X6)),equivalent(X5,X6)),equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),equivalent(equivalent(X3,X1),equivalent(X3,X2))))),true,true,true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_155])]) ).

fof(f459,plain,
    ( ! [X2,X3,X0,X1,X6,X4,X5] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(X4,X5),equivalent(X4,X6)),equivalent(X5,X6)),equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),equivalent(equivalent(X3,X1),equivalent(X3,X2))))),true,true,true)
    | ~ spl0_17
    | ~ spl0_49 ),
    inference(superposition,[],[f165,f427]) ).

fof(f2059,plain,
    ( spl0_154
    | ~ spl0_15
    | ~ spl0_49 ),
    inference(avatar_split_clause,[],[f446,f426,f136,f2057]) ).

fof(f2057,plain,
    ( spl0_154
  <=> ! [X2,X4,X0,X5,X3,X1] : true = ifeq(true,true,ifeq(is_a_theorem(equivalent(equivalent(X0,equivalent(equivalent(equivalent(equivalent(equivalent(X1,X2),equivalent(X1,X3)),X4),equivalent(equivalent(X2,X3),X4)),X5)),equivalent(X0,X5))),true,true,true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_154])]) ).

fof(f446,plain,
    ( ! [X2,X3,X0,X1,X4,X5] : true = ifeq(true,true,ifeq(is_a_theorem(equivalent(equivalent(X0,equivalent(equivalent(equivalent(equivalent(equivalent(X1,X2),equivalent(X1,X3)),X4),equivalent(equivalent(X2,X3),X4)),X5)),equivalent(X0,X5))),true,true,true),true)
    | ~ spl0_15
    | ~ spl0_49 ),
    inference(superposition,[],[f137,f427]) ).

fof(f1991,plain,
    ( spl0_153
    | ~ spl0_3
    | ~ spl0_146 ),
    inference(avatar_split_clause,[],[f1775,f1707,f17,f1989]) ).

fof(f1775,plain,
    ( ! [X0] : true = ifeq(true,true,ifeq(is_a_theorem(X0),true,is_a_theorem(X0),true),true)
    | ~ spl0_3
    | ~ spl0_146 ),
    inference(superposition,[],[f18,f1708]) ).

fof(f1863,plain,
    ( spl0_152
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_56 ),
    inference(avatar_split_clause,[],[f661,f564,f17,f13,f1861]) ).

fof(f1861,plain,
    ( spl0_152
  <=> ! [X5,X3,X4,X2,X0,X6,X1] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),X2),X3),equivalent(equivalent(X4,X2),equivalent(equivalent(equivalent(X0,X5),X4),equivalent(equivalent(X1,X5),X3)))),X6)),true,is_a_theorem(X6),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_152])]) ).

fof(f661,plain,
    ( ! [X2,X3,X0,X1,X6,X4,X5] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),X2),X3),equivalent(equivalent(X4,X2),equivalent(equivalent(equivalent(X0,X5),X4),equivalent(equivalent(X1,X5),X3)))),X6)),true,is_a_theorem(X6),true)
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_56 ),
    inference(forward_demodulation,[],[f642,f14]) ).

fof(f642,plain,
    ( ! [X2,X3,X0,X1,X6,X4,X5] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),X2),X3),equivalent(equivalent(X4,X2),equivalent(equivalent(equivalent(X0,X5),X4),equivalent(equivalent(X1,X5),X3)))),X6)),true,ifeq(true,true,is_a_theorem(X6),true),true)
    | ~ spl0_3
    | ~ spl0_56 ),
    inference(superposition,[],[f18,f565]) ).

fof(f1859,plain,
    ( spl0_151
    | ~ spl0_3
    | ~ spl0_56 ),
    inference(avatar_split_clause,[],[f641,f564,f17,f1857]) ).

fof(f641,plain,
    ( ! [X2,X3,X0,X1,X4,X5] : true = ifeq(true,true,ifeq(is_a_theorem(equivalent(equivalent(equivalent(X0,X1),X2),X3)),true,is_a_theorem(equivalent(equivalent(X4,X2),equivalent(equivalent(equivalent(X0,X5),X4),equivalent(equivalent(X1,X5),X3)))),true),true)
    | ~ spl0_3
    | ~ spl0_56 ),
    inference(superposition,[],[f18,f565]) ).

fof(f1855,plain,
    ( spl0_150
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_55 ),
    inference(avatar_split_clause,[],[f604,f560,f17,f13,f1853]) ).

fof(f1853,plain,
    ( spl0_150
  <=> ! [X5,X4,X2,X0,X6,X3,X1] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),X3),X4),X5),equivalent(equivalent(equivalent(equivalent(X1,X2),X3),X4),X5)),X6)),true,is_a_theorem(X6),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_150])]) ).

fof(f604,plain,
    ( ! [X2,X3,X0,X1,X6,X4,X5] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),X3),X4),X5),equivalent(equivalent(equivalent(equivalent(X1,X2),X3),X4),X5)),X6)),true,is_a_theorem(X6),true)
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_55 ),
    inference(forward_demodulation,[],[f586,f14]) ).

fof(f586,plain,
    ( ! [X2,X3,X0,X1,X6,X4,X5] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),X3),X4),X5),equivalent(equivalent(equivalent(equivalent(X1,X2),X3),X4),X5)),X6)),true,ifeq(true,true,is_a_theorem(X6),true),true)
    | ~ spl0_3
    | ~ spl0_55 ),
    inference(superposition,[],[f18,f561]) ).

fof(f1851,plain,
    ( spl0_149
    | ~ spl0_3
    | ~ spl0_55 ),
    inference(avatar_split_clause,[],[f585,f560,f17,f1849]) ).

fof(f585,plain,
    ( ! [X2,X3,X0,X1,X4,X5] : true = ifeq(true,true,ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),X3),X4),X5)),true,is_a_theorem(equivalent(equivalent(equivalent(equivalent(X1,X2),X3),X4),X5)),true),true)
    | ~ spl0_3
    | ~ spl0_55 ),
    inference(superposition,[],[f18,f561]) ).

fof(f1847,plain,
    ( spl0_148
    | ~ spl0_3
    | ~ spl0_53 ),
    inference(avatar_split_clause,[],[f534,f513,f17,f1845]) ).

fof(f1845,plain,
    ( spl0_148
  <=> ! [X3,X4,X0,X5,X2,X1] : true = ifeq(is_a_theorem(equivalent(X5,equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),X3),X4),equivalent(equivalent(equivalent(X1,X2),X3),X4)))),true,ifeq(is_a_theorem(X5),true,true,true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_148])]) ).

fof(f534,plain,
    ( ! [X2,X3,X0,X1,X4,X5] : true = ifeq(is_a_theorem(equivalent(X5,equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),X3),X4),equivalent(equivalent(equivalent(X1,X2),X3),X4)))),true,ifeq(is_a_theorem(X5),true,true,true),true)
    | ~ spl0_3
    | ~ spl0_53 ),
    inference(superposition,[],[f18,f514]) ).

fof(f1713,plain,
    ( spl0_147
    | ~ spl0_8
    | ~ spl0_56 ),
    inference(avatar_split_clause,[],[f631,f564,f49,f1711]) ).

fof(f631,plain,
    ( ! [X2,X3,X0,X1,X4,X5] : true = ifeq(true,true,is_a_theorem(equivalent(equivalent(X4,X3),equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),X5),X4),equivalent(equivalent(equivalent(X1,X2),X5),X3)))),true)
    | ~ spl0_8
    | ~ spl0_56 ),
    inference(superposition,[],[f50,f565]) ).

fof(f1709,plain,
    ( spl0_146
    | ~ spl0_2
    | ~ spl0_129 ),
    inference(avatar_split_clause,[],[f1662,f1397,f13,f1707]) ).

fof(f1397,plain,
    ( spl0_129
  <=> ! [X1] : true = ifeq(true,true,is_a_theorem(equivalent(X1,X1)),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_129])]) ).

fof(f1662,plain,
    ( ! [X0] : true = is_a_theorem(equivalent(X0,X0))
    | ~ spl0_2
    | ~ spl0_129 ),
    inference(superposition,[],[f1398,f14]) ).

fof(f1398,plain,
    ( ! [X1] : true = ifeq(true,true,is_a_theorem(equivalent(X1,X1)),true)
    | ~ spl0_129 ),
    inference(avatar_component_clause,[],[f1397]) ).

fof(f1705,plain,
    ( spl0_145
    | ~ spl0_9
    | ~ spl0_55 ),
    inference(avatar_split_clause,[],[f582,f560,f66,f1703]) ).

fof(f582,plain,
    ( ! [X2,X3,X0,X1,X4] : true = ifeq(true,true,ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X0,equivalent(X1,X2)),equivalent(X0,equivalent(X1,X3))),equivalent(X2,X3)),X4),X4)),true,true,true),true)
    | ~ spl0_9
    | ~ spl0_55 ),
    inference(superposition,[],[f67,f561]) ).

fof(f1701,plain,
    ( spl0_144
    | ~ spl0_13
    | ~ spl0_55 ),
    inference(avatar_split_clause,[],[f577,f560,f82,f1699]) ).

fof(f577,plain,
    ( ! [X2,X3,X0,X1,X4,X5] : true = ifeq(true,true,is_a_theorem(equivalent(equivalent(equivalent(equivalent(X1,X2),X3),X4),equivalent(equivalent(equivalent(equivalent(X0,X1),X5),X3),equivalent(equivalent(equivalent(X0,X2),X5),X4)))),true)
    | ~ spl0_13
    | ~ spl0_55 ),
    inference(superposition,[],[f83,f561]) ).

fof(f1697,plain,
    ( spl0_143
    | ~ spl0_9
    | ~ spl0_53 ),
    inference(avatar_split_clause,[],[f529,f513,f66,f1695]) ).

fof(f529,plain,
    ( ! [X2,X3,X0,X1,X4] : true = ifeq(true,true,ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(X0,equivalent(equivalent(X1,X2),equivalent(X1,X3))),equivalent(X0,equivalent(X2,X3))),X4),X4)),true,true,true),true)
    | ~ spl0_9
    | ~ spl0_53 ),
    inference(superposition,[],[f67,f514]) ).

fof(f1693,plain,
    ( spl0_142
    | ~ spl0_22
    | ~ spl0_53 ),
    inference(avatar_split_clause,[],[f521,f513,f195,f1691]) ).

fof(f521,plain,
    ( ! [X2,X3,X0,X1,X4,X5] : true = ifeq(true,true,is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),X5),X4),equivalent(equivalent(X3,X5),equivalent(equivalent(equivalent(X1,X2),X3),X4)))),true)
    | ~ spl0_22
    | ~ spl0_53 ),
    inference(superposition,[],[f196,f514]) ).

fof(f1689,plain,
    ( spl0_141
    | ~ spl0_9
    | ~ spl0_50 ),
    inference(avatar_split_clause,[],[f483,f430,f66,f1687]) ).

fof(f483,plain,
    ( ! [X2,X3,X0,X1,X4] : true = ifeq(true,true,ifeq(is_a_theorem(equivalent(equivalent(X0,equivalent(equivalent(X0,equivalent(equivalent(equivalent(X1,X2),equivalent(X1,X3)),equivalent(X2,X3))),X4)),X4)),true,true,true),true)
    | ~ spl0_9
    | ~ spl0_50 ),
    inference(superposition,[],[f67,f431]) ).

fof(f1685,plain,
    ( spl0_140
    | ~ spl0_11
    | ~ spl0_50 ),
    inference(avatar_split_clause,[],[f480,f430,f74,f1683]) ).

fof(f480,plain,
    ( ! [X2,X3,X0,X1,X4,X5] : true = ifeq(true,true,is_a_theorem(equivalent(equivalent(X5,X4),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),X3),equivalent(equivalent(X1,X2),X3)),X5),X4))),true)
    | ~ spl0_11
    | ~ spl0_50 ),
    inference(superposition,[],[f75,f431]) ).

fof(f1681,plain,
    ( spl0_139
    | ~ spl0_13
    | ~ spl0_50 ),
    inference(avatar_split_clause,[],[f479,f430,f82,f1679]) ).

fof(f479,plain,
    ( ! [X2,X3,X0,X1,X4,X5] : true = ifeq(true,true,is_a_theorem(equivalent(equivalent(X5,X3),equivalent(equivalent(equivalent(equivalent(X0,X1),X2),X5),equivalent(equivalent(equivalent(X0,X4),X2),equivalent(equivalent(X1,X4),X3))))),true)
    | ~ spl0_13
    | ~ spl0_50 ),
    inference(superposition,[],[f83,f431]) ).

fof(f1675,plain,
    ( spl0_138
    | ~ spl0_9
    | ~ spl0_49 ),
    inference(avatar_split_clause,[],[f445,f426,f66,f1673]) ).

fof(f1673,plain,
    ( spl0_138
  <=> ! [X4,X0,X3,X2,X1] : true = ifeq(true,true,ifeq(is_a_theorem(equivalent(equivalent(X0,equivalent(equivalent(equivalent(equivalent(X1,X2),equivalent(X1,X3)),equivalent(X2,X3)),X4)),equivalent(X0,X4))),true,true,true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_138])]) ).

fof(f445,plain,
    ( ! [X2,X3,X0,X1,X4] : true = ifeq(true,true,ifeq(is_a_theorem(equivalent(equivalent(X0,equivalent(equivalent(equivalent(equivalent(X1,X2),equivalent(X1,X3)),equivalent(X2,X3)),X4)),equivalent(X0,X4))),true,true,true),true)
    | ~ spl0_9
    | ~ spl0_49 ),
    inference(superposition,[],[f67,f427]) ).

fof(f1671,plain,
    ( spl0_137
    | ~ spl0_11
    | ~ spl0_49 ),
    inference(avatar_split_clause,[],[f443,f426,f74,f1669]) ).

fof(f443,plain,
    ( ! [X2,X3,X0,X1,X4,X5] : true = ifeq(true,true,is_a_theorem(equivalent(equivalent(X5,equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),X3),equivalent(equivalent(X1,X2),X3)),X4)),equivalent(X5,X4))),true)
    | ~ spl0_11
    | ~ spl0_49 ),
    inference(superposition,[],[f75,f427]) ).

fof(f1667,plain,
    ( spl0_136
    | ~ spl0_2
    | ~ spl0_9
    | ~ spl0_18 ),
    inference(avatar_split_clause,[],[f268,f175,f66,f13,f1665]) ).

fof(f1665,plain,
    ( spl0_136
  <=> ! [X3,X4,X0,X5,X2,X1] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X1)),equivalent(equivalent(equivalent(equivalent(equivalent(X2,X3),equivalent(X2,X4)),equivalent(X3,X4)),X5),X5))),true,true,true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_136])]) ).

fof(f175,plain,
    ( spl0_18
  <=> ! [X0,X1] : true = is_a_theorem(equivalent(equivalent(X0,X1),equivalent(X0,X1))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_18])]) ).

fof(f268,plain,
    ( ! [X2,X3,X0,X1,X4,X5] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X1)),equivalent(equivalent(equivalent(equivalent(equivalent(X2,X3),equivalent(X2,X4)),equivalent(X3,X4)),X5),X5))),true,true,true)
    | ~ spl0_2
    | ~ spl0_9
    | ~ spl0_18 ),
    inference(forward_demodulation,[],[f246,f14]) ).

fof(f246,plain,
    ( ! [X2,X3,X0,X1,X4,X5] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X1)),equivalent(equivalent(equivalent(equivalent(equivalent(X2,X3),equivalent(X2,X4)),equivalent(X3,X4)),X5),X5))),true,ifeq(true,true,true,true),true)
    | ~ spl0_9
    | ~ spl0_18 ),
    inference(superposition,[],[f67,f176]) ).

fof(f176,plain,
    ( ! [X0,X1] : true = is_a_theorem(equivalent(equivalent(X0,X1),equivalent(X0,X1)))
    | ~ spl0_18 ),
    inference(avatar_component_clause,[],[f175]) ).

fof(f1659,plain,
    ( spl0_135
    | ~ spl0_18
    | ~ spl0_21 ),
    inference(avatar_split_clause,[],[f253,f191,f175,f1657]) ).

fof(f1657,plain,
    ( spl0_135
  <=> ! [X2,X3,X4,X0,X5,X1] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X2,X3),equivalent(X2,X4)),X5),equivalent(equivalent(X3,X4),X5)),equivalent(equivalent(X0,X1),equivalent(X0,X1)))),true,true,true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_135])]) ).

fof(f253,plain,
    ( ! [X2,X3,X0,X1,X4,X5] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X2,X3),equivalent(X2,X4)),X5),equivalent(equivalent(X3,X4),X5)),equivalent(equivalent(X0,X1),equivalent(X0,X1)))),true,true,true)
    | ~ spl0_18
    | ~ spl0_21 ),
    inference(superposition,[],[f192,f176]) ).

fof(f1655,plain,
    ( spl0_134
    | ~ spl0_8
    | ~ spl0_18 ),
    inference(avatar_split_clause,[],[f245,f175,f49,f1653]) ).

fof(f1653,plain,
    ( spl0_134
  <=> ! [X2,X3,X4,X0,X5,X1] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X2,X3),equivalent(X2,X4)),equivalent(X3,X4)),X5),X5),equivalent(equivalent(X0,X1),equivalent(X0,X1)))),true,true,true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_134])]) ).

fof(f245,plain,
    ( ! [X2,X3,X0,X1,X4,X5] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X2,X3),equivalent(X2,X4)),equivalent(X3,X4)),X5),X5),equivalent(equivalent(X0,X1),equivalent(X0,X1)))),true,true,true)
    | ~ spl0_8
    | ~ spl0_18 ),
    inference(superposition,[],[f50,f176]) ).

fof(f1650,plain,
    ( spl0_133
    | ~ spl0_7
    | ~ spl0_18 ),
    inference(avatar_split_clause,[],[f244,f175,f45,f1648]) ).

fof(f1648,plain,
    ( spl0_133
  <=> ! [X2,X4,X0,X3,X1] : true = ifeq(true,true,ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(X2,X3),equivalent(X2,X4)),equivalent(X3,X4)),equivalent(equivalent(X0,X1),equivalent(X0,X1)))),true,true,true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_133])]) ).

fof(f244,plain,
    ( ! [X2,X3,X0,X1,X4] : true = ifeq(true,true,ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(X2,X3),equivalent(X2,X4)),equivalent(X3,X4)),equivalent(equivalent(X0,X1),equivalent(X0,X1)))),true,true,true),true)
    | ~ spl0_7
    | ~ spl0_18 ),
    inference(superposition,[],[f46,f176]) ).

fof(f1411,plain,
    ( spl0_132
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_53 ),
    inference(avatar_split_clause,[],[f551,f513,f17,f13,f1409]) ).

fof(f551,plain,
    ( ! [X2,X3,X0,X1,X4,X5] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),X3),X4),equivalent(equivalent(equivalent(X1,X2),X3),X4)),X5)),true,is_a_theorem(X5),true)
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_53 ),
    inference(forward_demodulation,[],[f533,f14]) ).

fof(f533,plain,
    ( ! [X2,X3,X0,X1,X4,X5] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),X3),X4),equivalent(equivalent(equivalent(X1,X2),X3),X4)),X5)),true,ifeq(true,true,is_a_theorem(X5),true),true)
    | ~ spl0_3
    | ~ spl0_53 ),
    inference(superposition,[],[f18,f514]) ).

fof(f1407,plain,
    ( spl0_131
    | ~ spl0_3
    | ~ spl0_53 ),
    inference(avatar_split_clause,[],[f532,f513,f17,f1405]) ).

fof(f532,plain,
    ( ! [X2,X3,X0,X1,X4] : true = ifeq(true,true,ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),X3),X4)),true,is_a_theorem(equivalent(equivalent(equivalent(X1,X2),X3),X4)),true),true)
    | ~ spl0_3
    | ~ spl0_53 ),
    inference(superposition,[],[f18,f514]) ).

fof(f1403,plain,
    ( spl0_130
    | ~ spl0_3
    | ~ spl0_50 ),
    inference(avatar_split_clause,[],[f487,f430,f17,f1401]) ).

fof(f487,plain,
    ( ! [X2,X3,X0,X1,X4] : true = ifeq(is_a_theorem(equivalent(X4,equivalent(equivalent(equivalent(X0,X1),X2),equivalent(equivalent(X3,X1),equivalent(equivalent(X0,X3),X2))))),true,ifeq(is_a_theorem(X4),true,true,true),true)
    | ~ spl0_3
    | ~ spl0_50 ),
    inference(superposition,[],[f18,f431]) ).

fof(f1399,plain,
    ( spl0_129
    | ~ spl0_51
    | ~ spl0_105 ),
    inference(avatar_split_clause,[],[f1326,f1034,f468,f1397]) ).

fof(f1326,plain,
    ( ! [X1] : true = ifeq(true,true,is_a_theorem(equivalent(X1,X1)),true)
    | ~ spl0_51
    | ~ spl0_105 ),
    inference(superposition,[],[f469,f1035]) ).

fof(f1395,plain,
    ( spl0_128
    | ~ spl0_3
    | ~ spl0_49 ),
    inference(avatar_split_clause,[],[f450,f426,f17,f1393]) ).

fof(f450,plain,
    ( ! [X2,X3,X0,X1,X4] : true = ifeq(is_a_theorem(equivalent(X4,equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),equivalent(equivalent(X3,X1),equivalent(X3,X2))))),true,ifeq(is_a_theorem(X4),true,true,true),true)
    | ~ spl0_3
    | ~ spl0_49 ),
    inference(superposition,[],[f18,f427]) ).

fof(f1314,plain,
    ( spl0_127
    | ~ spl0_17
    | ~ spl0_56 ),
    inference(avatar_split_clause,[],[f636,f564,f164,f1312]) ).

fof(f636,plain,
    ( ! [X2,X3,X0,X1,X4] : true = ifeq(true,true,is_a_theorem(equivalent(equivalent(X3,equivalent(X0,X2)),equivalent(equivalent(equivalent(X0,X4),X3),equivalent(equivalent(X1,X4),equivalent(X1,X2))))),true)
    | ~ spl0_17
    | ~ spl0_56 ),
    inference(superposition,[],[f165,f565]) ).

fof(f1310,plain,
    ( spl0_126
    | ~ spl0_17
    | ~ spl0_55 ),
    inference(avatar_split_clause,[],[f580,f560,f164,f1308]) ).

fof(f580,plain,
    ( ! [X2,X3,X0,X1,X4] : true = ifeq(true,true,is_a_theorem(equivalent(equivalent(equivalent(equivalent(X1,X2),X3),equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),X4)),equivalent(X3,X4))),true)
    | ~ spl0_17
    | ~ spl0_55 ),
    inference(superposition,[],[f165,f561]) ).

fof(f1306,plain,
    ( spl0_125
    | ~ spl0_11
    | ~ spl0_55 ),
    inference(avatar_split_clause,[],[f579,f560,f74,f1304]) ).

fof(f579,plain,
    ( ! [X2,X3,X0,X1,X4] : true = ifeq(true,true,is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X2),X3),equivalent(equivalent(X1,X2),equivalent(equivalent(X0,X1),X3))),X4),X4)),true)
    | ~ spl0_11
    | ~ spl0_55 ),
    inference(superposition,[],[f75,f561]) ).

fof(f1302,plain,
    ( spl0_124
    | ~ spl0_21
    | ~ spl0_55 ),
    inference(avatar_split_clause,[],[f575,f560,f191,f1300]) ).

fof(f575,plain,
    ( ! [X2,X3,X0,X1,X4] : true = ifeq(true,true,is_a_theorem(equivalent(equivalent(equivalent(equivalent(X1,X2),equivalent(equivalent(X0,X1),X3)),X4),equivalent(equivalent(equivalent(X0,X2),X3),X4))),true)
    | ~ spl0_21
    | ~ spl0_55 ),
    inference(superposition,[],[f192,f561]) ).

fof(f1298,plain,
    ( spl0_123
    | ~ spl0_13
    | ~ spl0_53 ),
    inference(avatar_split_clause,[],[f526,f513,f82,f1296]) ).

fof(f526,plain,
    ( ! [X2,X3,X0,X1,X4] : true = ifeq(true,true,is_a_theorem(equivalent(equivalent(equivalent(X1,X2),X3),equivalent(equivalent(equivalent(X0,X4),equivalent(X0,X2)),equivalent(equivalent(X1,X4),X3)))),true)
    | ~ spl0_13
    | ~ spl0_53 ),
    inference(superposition,[],[f83,f514]) ).

fof(f1294,plain,
    ( spl0_122
    | ~ spl0_21
    | ~ spl0_50 ),
    inference(avatar_split_clause,[],[f477,f430,f191,f1292]) ).

fof(f477,plain,
    ( ! [X2,X3,X0,X1,X4] : true = ifeq(true,true,is_a_theorem(equivalent(equivalent(X4,X3),equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),X4),equivalent(equivalent(X1,X2),X3)))),true)
    | ~ spl0_21
    | ~ spl0_50 ),
    inference(superposition,[],[f192,f431]) ).

fof(f1290,plain,
    ( spl0_121
    | ~ spl0_8
    | ~ spl0_50 ),
    inference(avatar_split_clause,[],[f476,f430,f49,f1288]) ).

fof(f476,plain,
    ( ! [X2,X3,X0,X1,X4] : true = ifeq(true,true,is_a_theorem(equivalent(equivalent(X4,X3),equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),equivalent(X1,X2)),X4),X3))),true)
    | ~ spl0_8
    | ~ spl0_50 ),
    inference(superposition,[],[f50,f431]) ).

fof(f1286,plain,
    ( spl0_120
    | ~ spl0_22
    | ~ spl0_50 ),
    inference(avatar_split_clause,[],[f474,f430,f195,f1284]) ).

fof(f474,plain,
    ( ! [X2,X3,X0,X1,X4] : true = ifeq(true,true,is_a_theorem(equivalent(equivalent(equivalent(X0,X4),X2),equivalent(equivalent(X1,X4),equivalent(equivalent(X3,X1),equivalent(equivalent(X0,X3),X2))))),true)
    | ~ spl0_22
    | ~ spl0_50 ),
    inference(superposition,[],[f196,f431]) ).

fof(f1282,plain,
    ( spl0_119
    | ~ spl0_2
    | ~ spl0_96 ),
    inference(avatar_split_clause,[],[f1031,f959,f13,f1280]) ).

fof(f959,plain,
    ( spl0_96
  <=> ! [X2,X1,X3] : true = ifeq(true,true,is_a_theorem(equivalent(equivalent(equivalent(equivalent(X1,X2),equivalent(X1,X2)),X3),X3)),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_96])]) ).

fof(f1031,plain,
    ( ! [X2,X0,X1] : true = is_a_theorem(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X1)),X2),X2))
    | ~ spl0_2
    | ~ spl0_96 ),
    inference(superposition,[],[f960,f14]) ).

fof(f960,plain,
    ( ! [X2,X3,X1] : true = ifeq(true,true,is_a_theorem(equivalent(equivalent(equivalent(equivalent(X1,X2),equivalent(X1,X2)),X3),X3)),true)
    | ~ spl0_96 ),
    inference(avatar_component_clause,[],[f959]) ).

fof(f1278,plain,
    ( spl0_118
    | ~ spl0_8
    | ~ spl0_49 ),
    inference(avatar_split_clause,[],[f439,f426,f49,f1276]) ).

fof(f439,plain,
    ( ! [X2,X3,X0,X1,X4] : true = ifeq(true,true,is_a_theorem(equivalent(equivalent(X4,equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),equivalent(X1,X2)),X3)),equivalent(X4,X3))),true)
    | ~ spl0_8
    | ~ spl0_49 ),
    inference(superposition,[],[f50,f427]) ).

fof(f1274,plain,
    ( spl0_117
    | ~ spl0_22
    | ~ spl0_49 ),
    inference(avatar_split_clause,[],[f436,f426,f195,f1272]) ).

fof(f436,plain,
    ( ! [X2,X3,X0,X1,X4] : true = ifeq(true,true,is_a_theorem(equivalent(equivalent(equivalent(X0,X4),equivalent(X0,X2)),equivalent(equivalent(X1,X4),equivalent(equivalent(X3,X1),equivalent(X3,X2))))),true)
    | ~ spl0_22
    | ~ spl0_49 ),
    inference(superposition,[],[f196,f427]) ).

fof(f1270,plain,
    ( spl0_116
    | ~ spl0_17
    | ~ spl0_18 ),
    inference(avatar_split_clause,[],[f252,f175,f164,f1268]) ).

fof(f252,plain,
    ( ! [X2,X3,X0,X1,X4] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(X2,X3),equivalent(X2,X4)),equivalent(X3,X4)),equivalent(equivalent(X0,X1),equivalent(X0,X1)))),true,true,true)
    | ~ spl0_17
    | ~ spl0_18 ),
    inference(superposition,[],[f165,f176]) ).

fof(f1176,plain,
    ( spl0_115
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_50 ),
    inference(avatar_split_clause,[],[f504,f430,f17,f13,f1174]) ).

fof(f504,plain,
    ( ! [X2,X3,X0,X1,X4] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(X0,X1),X2),equivalent(equivalent(X3,X1),equivalent(equivalent(X0,X3),X2))),X4)),true,is_a_theorem(X4),true)
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_50 ),
    inference(forward_demodulation,[],[f486,f14]) ).

fof(f486,plain,
    ( ! [X2,X3,X0,X1,X4] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(X0,X1),X2),equivalent(equivalent(X3,X1),equivalent(equivalent(X0,X3),X2))),X4)),true,ifeq(true,true,is_a_theorem(X4),true),true)
    | ~ spl0_3
    | ~ spl0_50 ),
    inference(superposition,[],[f18,f431]) ).

fof(f1172,plain,
    ( spl0_114
    | ~ spl0_3
    | ~ spl0_50 ),
    inference(avatar_split_clause,[],[f485,f430,f17,f1170]) ).

fof(f485,plain,
    ( ! [X2,X3,X0,X1] : true = ifeq(true,true,ifeq(is_a_theorem(equivalent(equivalent(X0,X1),X2)),true,is_a_theorem(equivalent(equivalent(X3,X1),equivalent(equivalent(X0,X3),X2))),true),true)
    | ~ spl0_3
    | ~ spl0_50 ),
    inference(superposition,[],[f18,f431]) ).

fof(f1168,plain,
    ( spl0_113
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_49 ),
    inference(avatar_split_clause,[],[f463,f426,f17,f13,f1166]) ).

fof(f463,plain,
    ( ! [X2,X3,X0,X1,X4] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),equivalent(equivalent(X3,X1),equivalent(X3,X2))),X4)),true,is_a_theorem(X4),true)
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_49 ),
    inference(forward_demodulation,[],[f449,f14]) ).

fof(f449,plain,
    ( ! [X2,X3,X0,X1,X4] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),equivalent(equivalent(X3,X1),equivalent(X3,X2))),X4)),true,ifeq(true,true,is_a_theorem(X4),true),true)
    | ~ spl0_3
    | ~ spl0_49 ),
    inference(superposition,[],[f18,f427]) ).

fof(f1164,plain,
    ( spl0_112
    | ~ spl0_2
    | ~ spl0_95 ),
    inference(avatar_split_clause,[],[f1029,f925,f13,f1162]) ).

fof(f925,plain,
    ( spl0_95
  <=> ! [X4,X1,X3] : true = ifeq(true,true,is_a_theorem(equivalent(equivalent(X4,X3),equivalent(X4,equivalent(equivalent(X1,X1),X3)))),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_95])]) ).

fof(f1029,plain,
    ( ! [X2,X0,X1] : true = is_a_theorem(equivalent(equivalent(X0,X1),equivalent(X0,equivalent(equivalent(X2,X2),X1))))
    | ~ spl0_2
    | ~ spl0_95 ),
    inference(superposition,[],[f926,f14]) ).

fof(f926,plain,
    ( ! [X3,X1,X4] : true = ifeq(true,true,is_a_theorem(equivalent(equivalent(X4,X3),equivalent(X4,equivalent(equivalent(X1,X1),X3)))),true)
    | ~ spl0_95 ),
    inference(avatar_component_clause,[],[f925]) ).

fof(f1160,plain,
    ( spl0_111
    | ~ spl0_3
    | ~ spl0_49 ),
    inference(avatar_split_clause,[],[f448,f426,f17,f1158]) ).

fof(f448,plain,
    ( ! [X2,X3,X0,X1] : true = ifeq(true,true,ifeq(is_a_theorem(equivalent(equivalent(X0,X1),equivalent(X0,X2))),true,is_a_theorem(equivalent(equivalent(X3,X1),equivalent(X3,X2))),true),true)
    | ~ spl0_3
    | ~ spl0_49 ),
    inference(superposition,[],[f18,f427]) ).

fof(f1150,plain,
    ( spl0_110
    | ~ spl0_17
    | ~ spl0_53 ),
    inference(avatar_split_clause,[],[f527,f513,f164,f1148]) ).

fof(f527,plain,
    ( ! [X2,X3,X0,X1] : true = ifeq(true,true,is_a_theorem(equivalent(equivalent(equivalent(X1,X2),equivalent(equivalent(X0,X1),X3)),equivalent(equivalent(X0,X2),X3))),true)
    | ~ spl0_17
    | ~ spl0_53 ),
    inference(superposition,[],[f165,f514]) ).

fof(f1146,plain,
    ( spl0_109
    | ~ spl0_17
    | ~ spl0_50 ),
    inference(avatar_split_clause,[],[f481,f430,f164,f1144]) ).

fof(f481,plain,
    ( ! [X2,X3,X0,X1] : true = ifeq(true,true,is_a_theorem(equivalent(equivalent(X3,equivalent(X0,X2)),equivalent(equivalent(equivalent(X0,X1),X3),equivalent(X1,X2)))),true)
    | ~ spl0_17
    | ~ spl0_50 ),
    inference(superposition,[],[f165,f431]) ).

fof(f1140,plain,
    ( spl0_108
    | ~ spl0_16
    | ~ spl0_49 ),
    inference(avatar_split_clause,[],[f447,f426,f140,f1138]) ).

fof(f1138,plain,
    ( spl0_108
  <=> ! [X2,X0,X1] : true = ifeq(true,true,ifeq(is_a_theorem(equivalent(equivalent(X0,X1),equivalent(X0,equivalent(equivalent(X2,X2),X1)))),true,true,true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_108])]) ).

fof(f447,plain,
    ( ! [X2,X0,X1] : true = ifeq(true,true,ifeq(is_a_theorem(equivalent(equivalent(X0,X1),equivalent(X0,equivalent(equivalent(X2,X2),X1)))),true,true,true),true)
    | ~ spl0_16
    | ~ spl0_49 ),
    inference(superposition,[],[f141,f427]) ).

fof(f1136,plain,
    ( spl0_107
    | ~ spl0_18
    | ~ spl0_21 ),
    inference(avatar_split_clause,[],[f231,f191,f175,f1134]) ).

fof(f231,plain,
    ( ! [X2,X3,X0,X1] : true = ifeq(true,true,is_a_theorem(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),X3),equivalent(equivalent(X1,X2),X3))),true)
    | ~ spl0_18
    | ~ spl0_21 ),
    inference(superposition,[],[f192,f176]) ).

fof(f1040,plain,
    ( spl0_106
    | ~ spl0_3
    | ~ spl0_18 ),
    inference(avatar_split_clause,[],[f243,f175,f17,f1038]) ).

fof(f243,plain,
    ( ! [X2,X0,X1] : true = ifeq(is_a_theorem(equivalent(X2,equivalent(equivalent(X0,X1),equivalent(X0,X1)))),true,ifeq(is_a_theorem(X2),true,true,true),true)
    | ~ spl0_3
    | ~ spl0_18 ),
    inference(superposition,[],[f18,f176]) ).

fof(f1036,plain,
    ( spl0_105
    | ~ spl0_2
    | ~ spl0_80 ),
    inference(avatar_split_clause,[],[f1000,f843,f13,f1034]) ).

fof(f843,plain,
    ( spl0_80
  <=> ! [X2,X0,X1] : true = ifeq(true,true,is_a_theorem(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),equivalent(X1,X2))),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_80])]) ).

fof(f1000,plain,
    ( ! [X2,X0,X1] : true = is_a_theorem(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),equivalent(X1,X2)))
    | ~ spl0_2
    | ~ spl0_80 ),
    inference(superposition,[],[f844,f14]) ).

fof(f844,plain,
    ( ! [X2,X0,X1] : true = ifeq(true,true,is_a_theorem(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),equivalent(X1,X2))),true)
    | ~ spl0_80 ),
    inference(avatar_component_clause,[],[f843]) ).

fof(f996,plain,
    ( spl0_104
    | ~ spl0_15
    | ~ spl0_48 ),
    inference(avatar_split_clause,[],[f423,f407,f136,f994]) ).

fof(f407,plain,
    ( spl0_48
  <=> ! [X2,X3,X0,X1,X8,X6,X9,X7,X4,X5] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X5,X6),X7),X8),equivalent(equivalent(equivalent(X5,X9),X7),equivalent(equivalent(X6,X9),X8))),equivalent(equivalent(equivalent(equivalent(X0,X1),X2),X3),equivalent(equivalent(equivalent(X0,X4),X2),equivalent(equivalent(X1,X4),X3))))),true,true,true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_48])]) ).

fof(f423,plain,
    ( ! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X14,X4,X5,X12,X13] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),X2),X3),equivalent(equivalent(equivalent(X0,X4),X2),equivalent(equivalent(X1,X4),X3))),equivalent(equivalent(equivalent(equivalent(X5,X6),X7),X8),equivalent(equivalent(equivalent(X5,X9),X7),equivalent(equivalent(X6,X9),X8)))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X10,X11),equivalent(X10,X12)),X13),equivalent(equivalent(X11,X12),X13)),X14),X14))),true,true,true)
    | ~ spl0_15
    | ~ spl0_48 ),
    inference(superposition,[],[f137,f408]) ).

fof(f408,plain,
    ( ! [X2,X3,X0,X1,X8,X6,X9,X7,X4,X5] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X5,X6),X7),X8),equivalent(equivalent(equivalent(X5,X9),X7),equivalent(equivalent(X6,X9),X8))),equivalent(equivalent(equivalent(equivalent(X0,X1),X2),X3),equivalent(equivalent(equivalent(X0,X4),X2),equivalent(equivalent(X1,X4),X3))))),true,true,true)
    | ~ spl0_48 ),
    inference(avatar_component_clause,[],[f407]) ).

fof(f992,plain,
    ( spl0_103
    | ~ spl0_16
    | ~ spl0_48 ),
    inference(avatar_split_clause,[],[f422,f407,f140,f990]) ).

fof(f422,plain,
    ( ! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X14,X4,X5,X12,X13] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),X2),X3),equivalent(equivalent(equivalent(X0,X4),X2),equivalent(equivalent(X1,X4),X3))),equivalent(equivalent(equivalent(equivalent(X5,X6),X7),X8),equivalent(equivalent(equivalent(X5,X9),X7),equivalent(equivalent(X6,X9),X8)))),equivalent(equivalent(equivalent(equivalent(X10,X11),X12),X13),equivalent(equivalent(equivalent(X10,X14),X12),equivalent(equivalent(X11,X14),X13))))),true,true,true)
    | ~ spl0_16
    | ~ spl0_48 ),
    inference(superposition,[],[f141,f408]) ).

fof(f988,plain,
    ( spl0_102
    | ~ spl0_15
    | ~ spl0_47 ),
    inference(avatar_split_clause,[],[f418,f403,f136,f986]) ).

fof(f403,plain,
    ( spl0_47
  <=> ! [X2,X3,X0,X1,X8,X6,X9,X7,X4,X5] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X5,X6),X7),X8),equivalent(equivalent(equivalent(X5,X9),X7),equivalent(equivalent(X6,X9),X8))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),X3),equivalent(equivalent(X1,X2),X3)),X4),X4))),true,true,true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_47])]) ).

fof(f418,plain,
    ( ! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X14,X4,X5,X12,X13] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),X2),X3),equivalent(equivalent(equivalent(X0,X4),X2),equivalent(equivalent(X1,X4),X3))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X5,X6),equivalent(X5,X7)),X8),equivalent(equivalent(X6,X7),X8)),X9),X9)),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X10,X11),equivalent(X10,X12)),X13),equivalent(equivalent(X11,X12),X13)),X14),X14))),true,true,true)
    | ~ spl0_15
    | ~ spl0_47 ),
    inference(superposition,[],[f137,f404]) ).

fof(f404,plain,
    ( ! [X2,X3,X0,X1,X8,X6,X9,X7,X4,X5] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X5,X6),X7),X8),equivalent(equivalent(equivalent(X5,X9),X7),equivalent(equivalent(X6,X9),X8))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),X3),equivalent(equivalent(X1,X2),X3)),X4),X4))),true,true,true)
    | ~ spl0_47 ),
    inference(avatar_component_clause,[],[f403]) ).

fof(f984,plain,
    ( spl0_101
    | ~ spl0_16
    | ~ spl0_47 ),
    inference(avatar_split_clause,[],[f417,f403,f140,f982]) ).

fof(f417,plain,
    ( ! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X14,X4,X5,X12,X13] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),X2),X3),equivalent(equivalent(equivalent(X0,X4),X2),equivalent(equivalent(X1,X4),X3))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X5,X6),equivalent(X5,X7)),X8),equivalent(equivalent(X6,X7),X8)),X9),X9)),equivalent(equivalent(equivalent(equivalent(X10,X11),X12),X13),equivalent(equivalent(equivalent(X10,X14),X12),equivalent(equivalent(X11,X14),X13))))),true,true,true)
    | ~ spl0_16
    | ~ spl0_47 ),
    inference(superposition,[],[f141,f404]) ).

fof(f980,plain,
    ( spl0_100
    | ~ spl0_15
    | ~ spl0_46 ),
    inference(avatar_split_clause,[],[f415,f399,f136,f978]) ).

fof(f399,plain,
    ( spl0_46
  <=> ! [X2,X3,X0,X1,X8,X6,X9,X7,X4,X5] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X5,X6),equivalent(X5,X7)),X8),equivalent(equivalent(X6,X7),X8)),X9),X9),equivalent(equivalent(equivalent(equivalent(X0,X1),X2),X3),equivalent(equivalent(equivalent(X0,X4),X2),equivalent(equivalent(X1,X4),X3))))),true,true,true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_46])]) ).

fof(f415,plain,
    ( ! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X14,X4,X5,X12,X13] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),X3),equivalent(equivalent(X1,X2),X3)),X4),X4),equivalent(equivalent(equivalent(equivalent(X5,X6),X7),X8),equivalent(equivalent(equivalent(X5,X9),X7),equivalent(equivalent(X6,X9),X8)))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X10,X11),equivalent(X10,X12)),X13),equivalent(equivalent(X11,X12),X13)),X14),X14))),true,true,true)
    | ~ spl0_15
    | ~ spl0_46 ),
    inference(superposition,[],[f137,f400]) ).

fof(f400,plain,
    ( ! [X2,X3,X0,X1,X8,X6,X9,X7,X4,X5] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X5,X6),equivalent(X5,X7)),X8),equivalent(equivalent(X6,X7),X8)),X9),X9),equivalent(equivalent(equivalent(equivalent(X0,X1),X2),X3),equivalent(equivalent(equivalent(X0,X4),X2),equivalent(equivalent(X1,X4),X3))))),true,true,true)
    | ~ spl0_46 ),
    inference(avatar_component_clause,[],[f399]) ).

fof(f976,plain,
    ( spl0_99
    | ~ spl0_16
    | ~ spl0_46 ),
    inference(avatar_split_clause,[],[f414,f399,f140,f974]) ).

fof(f414,plain,
    ( ! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X14,X4,X5,X12,X13] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),X3),equivalent(equivalent(X1,X2),X3)),X4),X4),equivalent(equivalent(equivalent(equivalent(X5,X6),X7),X8),equivalent(equivalent(equivalent(X5,X9),X7),equivalent(equivalent(X6,X9),X8)))),equivalent(equivalent(equivalent(equivalent(X10,X11),X12),X13),equivalent(equivalent(equivalent(X10,X14),X12),equivalent(equivalent(X11,X14),X13))))),true,true,true)
    | ~ spl0_16
    | ~ spl0_46 ),
    inference(superposition,[],[f141,f400]) ).

fof(f972,plain,
    ( spl0_98
    | ~ spl0_15
    | ~ spl0_44 ),
    inference(avatar_split_clause,[],[f412,f391,f136,f970]) ).

fof(f391,plain,
    ( spl0_44
  <=> ! [X2,X3,X0,X1,X8,X6,X9,X7,X4,X5] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X5,X6),equivalent(X5,X7)),X8),equivalent(equivalent(X6,X7),X8)),X9),X9),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),X3),equivalent(equivalent(X1,X2),X3)),X4),X4))),true,true,true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_44])]) ).

fof(f412,plain,
    ( ! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X14,X4,X5,X12,X13] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),X3),equivalent(equivalent(X1,X2),X3)),X4),X4),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X5,X6),equivalent(X5,X7)),X8),equivalent(equivalent(X6,X7),X8)),X9),X9)),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X10,X11),equivalent(X10,X12)),X13),equivalent(equivalent(X11,X12),X13)),X14),X14))),true,true,true)
    | ~ spl0_15
    | ~ spl0_44 ),
    inference(superposition,[],[f137,f392]) ).

fof(f392,plain,
    ( ! [X2,X3,X0,X1,X8,X6,X9,X7,X4,X5] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X5,X6),equivalent(X5,X7)),X8),equivalent(equivalent(X6,X7),X8)),X9),X9),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),X3),equivalent(equivalent(X1,X2),X3)),X4),X4))),true,true,true)
    | ~ spl0_44 ),
    inference(avatar_component_clause,[],[f391]) ).

fof(f968,plain,
    ( spl0_97
    | ~ spl0_16
    | ~ spl0_44 ),
    inference(avatar_split_clause,[],[f411,f391,f140,f966]) ).

fof(f411,plain,
    ( ! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X14,X4,X5,X12,X13] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),X3),equivalent(equivalent(X1,X2),X3)),X4),X4),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X5,X6),equivalent(X5,X7)),X8),equivalent(equivalent(X6,X7),X8)),X9),X9)),equivalent(equivalent(equivalent(equivalent(X10,X11),X12),X13),equivalent(equivalent(equivalent(X10,X14),X12),equivalent(equivalent(X11,X14),X13))))),true,true,true)
    | ~ spl0_16
    | ~ spl0_44 ),
    inference(superposition,[],[f141,f392]) ).

fof(f961,plain,
    ( spl0_96
    | ~ spl0_8
    | ~ spl0_55 ),
    inference(avatar_split_clause,[],[f574,f560,f49,f959]) ).

fof(f574,plain,
    ( ! [X2,X3,X1] : true = ifeq(true,true,is_a_theorem(equivalent(equivalent(equivalent(equivalent(X1,X2),equivalent(X1,X2)),X3),X3)),true)
    | ~ spl0_8
    | ~ spl0_55 ),
    inference(superposition,[],[f50,f561]) ).

fof(f927,plain,
    ( spl0_95
    | ~ spl0_13
    | ~ spl0_49 ),
    inference(avatar_split_clause,[],[f441,f426,f82,f925]) ).

fof(f441,plain,
    ( ! [X3,X1,X4] : true = ifeq(true,true,is_a_theorem(equivalent(equivalent(X4,X3),equivalent(X4,equivalent(equivalent(X1,X1),X3)))),true)
    | ~ spl0_13
    | ~ spl0_49 ),
    inference(superposition,[],[f83,f427]) ).

fof(f920,plain,
    ( spl0_94
    | ~ spl0_9
    | ~ spl0_48 ),
    inference(avatar_split_clause,[],[f424,f407,f66,f918]) ).

fof(f424,plain,
    ( ! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X4,X5,X12,X13] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),X2),X3),equivalent(equivalent(equivalent(X0,X4),X2),equivalent(equivalent(X1,X4),X3))),equivalent(equivalent(equivalent(equivalent(X5,X6),X7),X8),equivalent(equivalent(equivalent(X5,X9),X7),equivalent(equivalent(X6,X9),X8)))),equivalent(equivalent(equivalent(equivalent(equivalent(X10,X11),equivalent(X10,X12)),equivalent(X11,X12)),X13),X13))),true,true,true)
    | ~ spl0_9
    | ~ spl0_48 ),
    inference(superposition,[],[f67,f408]) ).

fof(f916,plain,
    ( spl0_93
    | ~ spl0_9
    | ~ spl0_47 ),
    inference(avatar_split_clause,[],[f419,f403,f66,f914]) ).

fof(f419,plain,
    ( ! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X4,X5,X12,X13] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),X2),X3),equivalent(equivalent(equivalent(X0,X4),X2),equivalent(equivalent(X1,X4),X3))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X5,X6),equivalent(X5,X7)),X8),equivalent(equivalent(X6,X7),X8)),X9),X9)),equivalent(equivalent(equivalent(equivalent(equivalent(X10,X11),equivalent(X10,X12)),equivalent(X11,X12)),X13),X13))),true,true,true)
    | ~ spl0_9
    | ~ spl0_47 ),
    inference(superposition,[],[f67,f404]) ).

fof(f912,plain,
    ( spl0_92
    | ~ spl0_9
    | ~ spl0_46 ),
    inference(avatar_split_clause,[],[f416,f399,f66,f910]) ).

fof(f416,plain,
    ( ! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X4,X5,X12,X13] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),X3),equivalent(equivalent(X1,X2),X3)),X4),X4),equivalent(equivalent(equivalent(equivalent(X5,X6),X7),X8),equivalent(equivalent(equivalent(X5,X9),X7),equivalent(equivalent(X6,X9),X8)))),equivalent(equivalent(equivalent(equivalent(equivalent(X10,X11),equivalent(X10,X12)),equivalent(X11,X12)),X13),X13))),true,true,true)
    | ~ spl0_9
    | ~ spl0_46 ),
    inference(superposition,[],[f67,f400]) ).

fof(f908,plain,
    ( spl0_91
    | ~ spl0_9
    | ~ spl0_44 ),
    inference(avatar_split_clause,[],[f413,f391,f66,f906]) ).

fof(f413,plain,
    ( ! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X4,X5,X12,X13] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),X3),equivalent(equivalent(X1,X2),X3)),X4),X4),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X5,X6),equivalent(X5,X7)),X8),equivalent(equivalent(X6,X7),X8)),X9),X9)),equivalent(equivalent(equivalent(equivalent(equivalent(X10,X11),equivalent(X10,X12)),equivalent(X11,X12)),X13),X13))),true,true,true)
    | ~ spl0_9
    | ~ spl0_44 ),
    inference(superposition,[],[f67,f392]) ).

fof(f904,plain,
    ( spl0_90
    | ~ spl0_15
    | ~ spl0_41 ),
    inference(avatar_split_clause,[],[f378,f365,f136,f902]) ).

fof(f365,plain,
    ( spl0_41
  <=> ! [X2,X3,X0,X1,X8,X6,X7,X4,X5] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),X2),X3),equivalent(equivalent(equivalent(X0,X4),X2),equivalent(equivalent(X1,X4),X3))),equivalent(equivalent(equivalent(equivalent(equivalent(X5,X6),equivalent(X5,X7)),equivalent(X6,X7)),X8),X8))),true,true,true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_41])]) ).

fof(f378,plain,
    ( ! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X4,X5,X12,X13] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),X2),X3),equivalent(equivalent(equivalent(X0,X4),X2),equivalent(equivalent(X1,X4),X3))),equivalent(equivalent(equivalent(equivalent(equivalent(X5,X6),equivalent(X5,X7)),equivalent(X6,X7)),X8),X8)),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X9,X10),equivalent(X9,X11)),X12),equivalent(equivalent(X10,X11),X12)),X13),X13))),true,true,true)
    | ~ spl0_15
    | ~ spl0_41 ),
    inference(superposition,[],[f137,f366]) ).

fof(f366,plain,
    ( ! [X2,X3,X0,X1,X8,X6,X7,X4,X5] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),X2),X3),equivalent(equivalent(equivalent(X0,X4),X2),equivalent(equivalent(X1,X4),X3))),equivalent(equivalent(equivalent(equivalent(equivalent(X5,X6),equivalent(X5,X7)),equivalent(X6,X7)),X8),X8))),true,true,true)
    | ~ spl0_41 ),
    inference(avatar_component_clause,[],[f365]) ).

fof(f900,plain,
    ( spl0_89
    | ~ spl0_16
    | ~ spl0_41 ),
    inference(avatar_split_clause,[],[f377,f365,f140,f898]) ).

fof(f377,plain,
    ( ! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X4,X5,X12,X13] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),X2),X3),equivalent(equivalent(equivalent(X0,X4),X2),equivalent(equivalent(X1,X4),X3))),equivalent(equivalent(equivalent(equivalent(equivalent(X5,X6),equivalent(X5,X7)),equivalent(X6,X7)),X8),X8)),equivalent(equivalent(equivalent(equivalent(X9,X10),X11),X12),equivalent(equivalent(equivalent(X9,X13),X11),equivalent(equivalent(X10,X13),X12))))),true,true,true)
    | ~ spl0_16
    | ~ spl0_41 ),
    inference(superposition,[],[f141,f366]) ).

fof(f896,plain,
    ( spl0_88
    | ~ spl0_15
    | ~ spl0_40 ),
    inference(avatar_split_clause,[],[f375,f361,f136,f894]) ).

fof(f361,plain,
    ( spl0_40
  <=> ! [X2,X3,X0,X1,X8,X6,X7,X4,X5] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),X3),equivalent(equivalent(X1,X2),X3)),X4),X4),equivalent(equivalent(equivalent(equivalent(equivalent(X5,X6),equivalent(X5,X7)),equivalent(X6,X7)),X8),X8))),true,true,true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_40])]) ).

fof(f375,plain,
    ( ! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X4,X5,X12,X13] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),X3),equivalent(equivalent(X1,X2),X3)),X4),X4),equivalent(equivalent(equivalent(equivalent(equivalent(X5,X6),equivalent(X5,X7)),equivalent(X6,X7)),X8),X8)),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X9,X10),equivalent(X9,X11)),X12),equivalent(equivalent(X10,X11),X12)),X13),X13))),true,true,true)
    | ~ spl0_15
    | ~ spl0_40 ),
    inference(superposition,[],[f137,f362]) ).

fof(f362,plain,
    ( ! [X2,X3,X0,X1,X8,X6,X7,X4,X5] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),X3),equivalent(equivalent(X1,X2),X3)),X4),X4),equivalent(equivalent(equivalent(equivalent(equivalent(X5,X6),equivalent(X5,X7)),equivalent(X6,X7)),X8),X8))),true,true,true)
    | ~ spl0_40 ),
    inference(avatar_component_clause,[],[f361]) ).

fof(f892,plain,
    ( spl0_87
    | ~ spl0_16
    | ~ spl0_40 ),
    inference(avatar_split_clause,[],[f374,f361,f140,f890]) ).

fof(f374,plain,
    ( ! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X4,X5,X12,X13] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),X3),equivalent(equivalent(X1,X2),X3)),X4),X4),equivalent(equivalent(equivalent(equivalent(equivalent(X5,X6),equivalent(X5,X7)),equivalent(X6,X7)),X8),X8)),equivalent(equivalent(equivalent(equivalent(X9,X10),X11),X12),equivalent(equivalent(equivalent(X9,X13),X11),equivalent(equivalent(X10,X13),X12))))),true,true,true)
    | ~ spl0_16
    | ~ spl0_40 ),
    inference(superposition,[],[f141,f362]) ).

fof(f888,plain,
    ( spl0_86
    | ~ spl0_15
    | ~ spl0_38 ),
    inference(avatar_split_clause,[],[f372,f349,f136,f886]) ).

fof(f349,plain,
    ( spl0_38
  <=> ! [X2,X3,X0,X1,X8,X6,X7,X4,X5] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X5,X6),equivalent(X5,X7)),equivalent(X6,X7)),X8),X8),equivalent(equivalent(equivalent(equivalent(X0,X1),X2),X3),equivalent(equivalent(equivalent(X0,X4),X2),equivalent(equivalent(X1,X4),X3))))),true,true,true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_38])]) ).

fof(f372,plain,
    ( ! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X4,X5,X12,X13] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),equivalent(X1,X2)),X3),X3),equivalent(equivalent(equivalent(equivalent(X4,X5),X6),X7),equivalent(equivalent(equivalent(X4,X8),X6),equivalent(equivalent(X5,X8),X7)))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X9,X10),equivalent(X9,X11)),X12),equivalent(equivalent(X10,X11),X12)),X13),X13))),true,true,true)
    | ~ spl0_15
    | ~ spl0_38 ),
    inference(superposition,[],[f137,f350]) ).

fof(f350,plain,
    ( ! [X2,X3,X0,X1,X8,X6,X7,X4,X5] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X5,X6),equivalent(X5,X7)),equivalent(X6,X7)),X8),X8),equivalent(equivalent(equivalent(equivalent(X0,X1),X2),X3),equivalent(equivalent(equivalent(X0,X4),X2),equivalent(equivalent(X1,X4),X3))))),true,true,true)
    | ~ spl0_38 ),
    inference(avatar_component_clause,[],[f349]) ).

fof(f884,plain,
    ( spl0_85
    | ~ spl0_22
    | ~ spl0_49 ),
    inference(avatar_split_clause,[],[f434,f426,f195,f882]) ).

fof(f882,plain,
    ( spl0_85
  <=> ! [X2,X0,X3] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(X0,X3),equivalent(X0,X2)),equivalent(X3,X2))),true,true,true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_85])]) ).

fof(f434,plain,
    ( ! [X2,X3,X0] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(X0,X3),equivalent(X0,X2)),equivalent(X3,X2))),true,true,true)
    | ~ spl0_22
    | ~ spl0_49 ),
    inference(superposition,[],[f196,f427]) ).

fof(f880,plain,
    ( spl0_84
    | ~ spl0_16
    | ~ spl0_38 ),
    inference(avatar_split_clause,[],[f371,f349,f140,f878]) ).

fof(f371,plain,
    ( ! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X4,X5,X12,X13] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),equivalent(X1,X2)),X3),X3),equivalent(equivalent(equivalent(equivalent(X4,X5),X6),X7),equivalent(equivalent(equivalent(X4,X8),X6),equivalent(equivalent(X5,X8),X7)))),equivalent(equivalent(equivalent(equivalent(X9,X10),X11),X12),equivalent(equivalent(equivalent(X9,X13),X11),equivalent(equivalent(X10,X13),X12))))),true,true,true)
    | ~ spl0_16
    | ~ spl0_38 ),
    inference(superposition,[],[f141,f350]) ).

fof(f876,plain,
    ( spl0_83
    | ~ spl0_15
    | ~ spl0_37 ),
    inference(avatar_split_clause,[],[f369,f345,f136,f874]) ).

fof(f345,plain,
    ( spl0_37
  <=> ! [X2,X3,X0,X1,X8,X6,X7,X4,X5] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X5,X6),equivalent(X5,X7)),equivalent(X6,X7)),X8),X8),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),X3),equivalent(equivalent(X1,X2),X3)),X4),X4))),true,true,true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_37])]) ).

fof(f369,plain,
    ( ! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X4,X5,X12,X13] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),equivalent(X1,X2)),X3),X3),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X4,X5),equivalent(X4,X6)),X7),equivalent(equivalent(X5,X6),X7)),X8),X8)),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X9,X10),equivalent(X9,X11)),X12),equivalent(equivalent(X10,X11),X12)),X13),X13))),true,true,true)
    | ~ spl0_15
    | ~ spl0_37 ),
    inference(superposition,[],[f137,f346]) ).

fof(f346,plain,
    ( ! [X2,X3,X0,X1,X8,X6,X7,X4,X5] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X5,X6),equivalent(X5,X7)),equivalent(X6,X7)),X8),X8),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),X3),equivalent(equivalent(X1,X2),X3)),X4),X4))),true,true,true)
    | ~ spl0_37 ),
    inference(avatar_component_clause,[],[f345]) ).

fof(f872,plain,
    ( spl0_82
    | ~ spl0_16
    | ~ spl0_37 ),
    inference(avatar_split_clause,[],[f368,f345,f140,f870]) ).

fof(f368,plain,
    ( ! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X4,X5,X12,X13] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),equivalent(X1,X2)),X3),X3),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X4,X5),equivalent(X4,X6)),X7),equivalent(equivalent(X5,X6),X7)),X8),X8)),equivalent(equivalent(equivalent(equivalent(X9,X10),X11),X12),equivalent(equivalent(equivalent(X9,X13),X11),equivalent(equivalent(X10,X13),X12))))),true,true,true)
    | ~ spl0_16
    | ~ spl0_37 ),
    inference(superposition,[],[f141,f346]) ).

fof(f849,plain,
    ( spl0_81
    | ~ spl0_9
    | ~ spl0_41 ),
    inference(avatar_split_clause,[],[f379,f365,f66,f847]) ).

fof(f379,plain,
    ( ! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X4,X5,X12] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),X2),X3),equivalent(equivalent(equivalent(X0,X4),X2),equivalent(equivalent(X1,X4),X3))),equivalent(equivalent(equivalent(equivalent(equivalent(X5,X6),equivalent(X5,X7)),equivalent(X6,X7)),X8),X8)),equivalent(equivalent(equivalent(equivalent(equivalent(X9,X10),equivalent(X9,X11)),equivalent(X10,X11)),X12),X12))),true,true,true)
    | ~ spl0_9
    | ~ spl0_41 ),
    inference(superposition,[],[f67,f366]) ).

fof(f845,plain,
    ( spl0_80
    | ~ spl0_17
    | ~ spl0_18 ),
    inference(avatar_split_clause,[],[f235,f175,f164,f843]) ).

fof(f235,plain,
    ( ! [X2,X0,X1] : true = ifeq(true,true,is_a_theorem(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),equivalent(X1,X2))),true)
    | ~ spl0_17
    | ~ spl0_18 ),
    inference(superposition,[],[f165,f176]) ).

fof(f841,plain,
    ( spl0_79
    | ~ spl0_9
    | ~ spl0_40 ),
    inference(avatar_split_clause,[],[f376,f361,f66,f839]) ).

fof(f376,plain,
    ( ! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X4,X5,X12] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),X3),equivalent(equivalent(X1,X2),X3)),X4),X4),equivalent(equivalent(equivalent(equivalent(equivalent(X5,X6),equivalent(X5,X7)),equivalent(X6,X7)),X8),X8)),equivalent(equivalent(equivalent(equivalent(equivalent(X9,X10),equivalent(X9,X11)),equivalent(X10,X11)),X12),X12))),true,true,true)
    | ~ spl0_9
    | ~ spl0_40 ),
    inference(superposition,[],[f67,f362]) ).

fof(f837,plain,
    ( spl0_78
    | ~ spl0_9
    | ~ spl0_38 ),
    inference(avatar_split_clause,[],[f373,f349,f66,f835]) ).

fof(f373,plain,
    ( ! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X4,X5,X12] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),equivalent(X1,X2)),X3),X3),equivalent(equivalent(equivalent(equivalent(X4,X5),X6),X7),equivalent(equivalent(equivalent(X4,X8),X6),equivalent(equivalent(X5,X8),X7)))),equivalent(equivalent(equivalent(equivalent(equivalent(X9,X10),equivalent(X9,X11)),equivalent(X10,X11)),X12),X12))),true,true,true)
    | ~ spl0_9
    | ~ spl0_38 ),
    inference(superposition,[],[f67,f350]) ).

fof(f833,plain,
    ( spl0_77
    | ~ spl0_9
    | ~ spl0_37 ),
    inference(avatar_split_clause,[],[f370,f345,f66,f831]) ).

fof(f370,plain,
    ( ! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X4,X5,X12] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),equivalent(X1,X2)),X3),X3),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X4,X5),equivalent(X4,X6)),X7),equivalent(equivalent(X5,X6),X7)),X8),X8)),equivalent(equivalent(equivalent(equivalent(equivalent(X9,X10),equivalent(X9,X11)),equivalent(X10,X11)),X12),X12))),true,true,true)
    | ~ spl0_9
    | ~ spl0_37 ),
    inference(superposition,[],[f67,f346]) ).

fof(f829,plain,
    ( spl0_76
    | ~ spl0_15
    | ~ spl0_34 ),
    inference(avatar_split_clause,[],[f332,f327,f136,f827]) ).

fof(f327,plain,
    ( spl0_34
  <=> ! [X5,X6,X4,X0,X7,X3,X2,X1] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X4,X5),equivalent(X4,X6)),equivalent(X5,X6)),X7),X7),equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),equivalent(X1,X2)),X3),X3))),true,true,true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_34])]) ).

fof(f332,plain,
    ( ! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X4,X5,X12] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),equivalent(X1,X2)),X3),X3),equivalent(equivalent(equivalent(equivalent(equivalent(X4,X5),equivalent(X4,X6)),equivalent(X5,X6)),X7),X7)),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X8,X9),equivalent(X8,X10)),X11),equivalent(equivalent(X9,X10),X11)),X12),X12))),true,true,true)
    | ~ spl0_15
    | ~ spl0_34 ),
    inference(superposition,[],[f137,f328]) ).

fof(f328,plain,
    ( ! [X2,X3,X0,X1,X6,X7,X4,X5] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X4,X5),equivalent(X4,X6)),equivalent(X5,X6)),X7),X7),equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),equivalent(X1,X2)),X3),X3))),true,true,true)
    | ~ spl0_34 ),
    inference(avatar_component_clause,[],[f327]) ).

fof(f825,plain,
    ( spl0_75
    | ~ spl0_16
    | ~ spl0_34 ),
    inference(avatar_split_clause,[],[f331,f327,f140,f823]) ).

fof(f331,plain,
    ( ! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X4,X5,X12] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),equivalent(X1,X2)),X3),X3),equivalent(equivalent(equivalent(equivalent(equivalent(X4,X5),equivalent(X4,X6)),equivalent(X5,X6)),X7),X7)),equivalent(equivalent(equivalent(equivalent(X8,X9),X10),X11),equivalent(equivalent(equivalent(X8,X12),X10),equivalent(equivalent(X9,X12),X11))))),true,true,true)
    | ~ spl0_16
    | ~ spl0_34 ),
    inference(superposition,[],[f141,f328]) ).

fof(f818,plain,
    ( spl0_74
    | ~ spl0_9
    | ~ spl0_34 ),
    inference(avatar_split_clause,[],[f333,f327,f66,f816]) ).

fof(f333,plain,
    ( ! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X4,X5] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),equivalent(X1,X2)),X3),X3),equivalent(equivalent(equivalent(equivalent(equivalent(X4,X5),equivalent(X4,X6)),equivalent(X5,X6)),X7),X7)),equivalent(equivalent(equivalent(equivalent(equivalent(X8,X9),equivalent(X8,X10)),equivalent(X9,X10)),X11),X11))),true,true,true)
    | ~ spl0_9
    | ~ spl0_34 ),
    inference(superposition,[],[f67,f328]) ).

fof(f782,plain,
    ( spl0_73
    | ~ spl0_15
    | ~ spl0_30 ),
    inference(avatar_split_clause,[],[f314,f299,f136,f780]) ).

fof(f299,plain,
    ( spl0_30
  <=> ! [X2,X3,X4,X0,X5,X1] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),X2),X3),equivalent(equivalent(equivalent(X0,X4),X2),equivalent(equivalent(X1,X4),X3))),X5),X5)),true,true,true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_30])]) ).

fof(f314,plain,
    ( ! [X2,X3,X10,X0,X1,X8,X6,X9,X7,X4,X5] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),X2),X3),equivalent(equivalent(equivalent(X0,X4),X2),equivalent(equivalent(X1,X4),X3))),X5),X5),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X6,X7),equivalent(X6,X8)),X9),equivalent(equivalent(X7,X8),X9)),X10),X10))),true,true,true)
    | ~ spl0_15
    | ~ spl0_30 ),
    inference(superposition,[],[f137,f300]) ).

fof(f300,plain,
    ( ! [X2,X3,X0,X1,X4,X5] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),X2),X3),equivalent(equivalent(equivalent(X0,X4),X2),equivalent(equivalent(X1,X4),X3))),X5),X5)),true,true,true)
    | ~ spl0_30 ),
    inference(avatar_component_clause,[],[f299]) ).

fof(f778,plain,
    ( spl0_72
    | ~ spl0_16
    | ~ spl0_30 ),
    inference(avatar_split_clause,[],[f313,f299,f140,f776]) ).

fof(f313,plain,
    ( ! [X2,X3,X10,X0,X1,X8,X6,X9,X7,X4,X5] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),X2),X3),equivalent(equivalent(equivalent(X0,X4),X2),equivalent(equivalent(X1,X4),X3))),X5),X5),equivalent(equivalent(equivalent(equivalent(X6,X7),X8),X9),equivalent(equivalent(equivalent(X6,X10),X8),equivalent(equivalent(X7,X10),X9))))),true,true,true)
    | ~ spl0_16
    | ~ spl0_30 ),
    inference(superposition,[],[f141,f300]) ).

fof(f774,plain,
    ( spl0_71
    | ~ spl0_15
    | ~ spl0_28 ),
    inference(avatar_split_clause,[],[f305,f291,f136,f772]) ).

fof(f291,plain,
    ( spl0_28
  <=> ! [X3,X4,X0,X5,X2,X1] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),X3),equivalent(equivalent(X1,X2),X3)),X4),X4),X5),X5)),true,true,true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_28])]) ).

fof(f305,plain,
    ( ! [X2,X3,X10,X0,X1,X8,X6,X9,X7,X4,X5] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),X3),equivalent(equivalent(X1,X2),X3)),X4),X4),X5),X5),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X6,X7),equivalent(X6,X8)),X9),equivalent(equivalent(X7,X8),X9)),X10),X10))),true,true,true)
    | ~ spl0_15
    | ~ spl0_28 ),
    inference(superposition,[],[f137,f292]) ).

fof(f292,plain,
    ( ! [X2,X3,X0,X1,X4,X5] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),X3),equivalent(equivalent(X1,X2),X3)),X4),X4),X5),X5)),true,true,true)
    | ~ spl0_28 ),
    inference(avatar_component_clause,[],[f291]) ).

fof(f770,plain,
    ( spl0_70
    | ~ spl0_16
    | ~ spl0_28 ),
    inference(avatar_split_clause,[],[f304,f291,f140,f768]) ).

fof(f304,plain,
    ( ! [X2,X3,X10,X0,X1,X8,X6,X9,X7,X4,X5] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),X3),equivalent(equivalent(X1,X2),X3)),X4),X4),X5),X5),equivalent(equivalent(equivalent(equivalent(X6,X7),X8),X9),equivalent(equivalent(equivalent(X6,X10),X8),equivalent(equivalent(X7,X10),X9))))),true,true,true)
    | ~ spl0_16
    | ~ spl0_28 ),
    inference(superposition,[],[f141,f292]) ).

fof(f754,plain,
    ( spl0_69
    | ~ spl0_9
    | ~ spl0_30 ),
    inference(avatar_split_clause,[],[f315,f299,f66,f752]) ).

fof(f315,plain,
    ( ! [X2,X3,X0,X1,X8,X6,X9,X7,X4,X5] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),X2),X3),equivalent(equivalent(equivalent(X0,X4),X2),equivalent(equivalent(X1,X4),X3))),X5),X5),equivalent(equivalent(equivalent(equivalent(equivalent(X6,X7),equivalent(X6,X8)),equivalent(X7,X8)),X9),X9))),true,true,true)
    | ~ spl0_9
    | ~ spl0_30 ),
    inference(superposition,[],[f67,f300]) ).

fof(f738,plain,
    ( spl0_68
    | ~ spl0_9
    | ~ spl0_28 ),
    inference(avatar_split_clause,[],[f306,f291,f66,f736]) ).

fof(f306,plain,
    ( ! [X2,X3,X0,X1,X8,X6,X9,X7,X4,X5] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),X3),equivalent(equivalent(X1,X2),X3)),X4),X4),X5),X5),equivalent(equivalent(equivalent(equivalent(equivalent(X6,X7),equivalent(X6,X8)),equivalent(X7,X8)),X9),X9))),true,true,true)
    | ~ spl0_9
    | ~ spl0_28 ),
    inference(superposition,[],[f67,f292]) ).

fof(f734,plain,
    ( spl0_67
    | ~ spl0_15
    | ~ spl0_24 ),
    inference(avatar_split_clause,[],[f279,f222,f136,f732]) ).

fof(f222,plain,
    ( spl0_24
  <=> ! [X4,X0,X3,X2,X1] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),equivalent(X1,X2)),X3),X3),X4),X4)),true,true,true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_24])]) ).

fof(f279,plain,
    ( ! [X2,X3,X0,X1,X8,X6,X9,X7,X4,X5] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),equivalent(X1,X2)),X3),X3),X4),X4),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X5,X6),equivalent(X5,X7)),X8),equivalent(equivalent(X6,X7),X8)),X9),X9))),true,true,true)
    | ~ spl0_15
    | ~ spl0_24 ),
    inference(superposition,[],[f137,f223]) ).

fof(f223,plain,
    ( ! [X2,X3,X0,X1,X4] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),equivalent(X1,X2)),X3),X3),X4),X4)),true,true,true)
    | ~ spl0_24 ),
    inference(avatar_component_clause,[],[f222]) ).

fof(f730,plain,
    ( spl0_66
    | ~ spl0_16
    | ~ spl0_24 ),
    inference(avatar_split_clause,[],[f278,f222,f140,f728]) ).

fof(f278,plain,
    ( ! [X2,X3,X0,X1,X8,X6,X9,X7,X4,X5] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),equivalent(X1,X2)),X3),X3),X4),X4),equivalent(equivalent(equivalent(equivalent(X5,X6),X7),X8),equivalent(equivalent(equivalent(X5,X9),X7),equivalent(equivalent(X6,X9),X8))))),true,true,true)
    | ~ spl0_16
    | ~ spl0_24 ),
    inference(superposition,[],[f141,f223]) ).

fof(f715,plain,
    ( spl0_65
    | ~ spl0_9
    | ~ spl0_24 ),
    inference(avatar_split_clause,[],[f280,f222,f66,f713]) ).

fof(f280,plain,
    ( ! [X2,X3,X0,X1,X8,X6,X7,X4,X5] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),equivalent(X1,X2)),X3),X3),X4),X4),equivalent(equivalent(equivalent(equivalent(equivalent(X5,X6),equivalent(X5,X7)),equivalent(X6,X7)),X8),X8))),true,true,true)
    | ~ spl0_9
    | ~ spl0_24 ),
    inference(superposition,[],[f67,f223]) ).

fof(f711,plain,
    ( spl0_64
    | ~ spl0_6
    | ~ spl0_21 ),
    inference(avatar_split_clause,[],[f203,f191,f33,f709]) ).

fof(f33,plain,
    ( spl0_6
  <=> ! [X5,X4,X7,X6,X3] : true = is_a_theorem(equivalent(equivalent(equivalent(equivalent(X3,X4),X5),X6),equivalent(equivalent(equivalent(X3,X7),X5),equivalent(equivalent(X4,X7),X6)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).

fof(f203,plain,
    ( ! [X2,X3,X0,X1,X8,X6,X7,X4,X5] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X5,X6),equivalent(X5,X7)),X8),equivalent(equivalent(X6,X7),X8)),equivalent(equivalent(equivalent(equivalent(X0,X1),X2),X3),equivalent(equivalent(equivalent(X0,X4),X2),equivalent(equivalent(X1,X4),X3))))),true,true,true)
    | ~ spl0_6
    | ~ spl0_21 ),
    inference(superposition,[],[f192,f34]) ).

fof(f34,plain,
    ( ! [X3,X6,X7,X4,X5] : true = is_a_theorem(equivalent(equivalent(equivalent(equivalent(X3,X4),X5),X6),equivalent(equivalent(equivalent(X3,X7),X5),equivalent(equivalent(X4,X7),X6))))
    | ~ spl0_6 ),
    inference(avatar_component_clause,[],[f33]) ).

fof(f707,plain,
    ( spl0_63
    | ~ spl0_5
    | ~ spl0_21 ),
    inference(avatar_split_clause,[],[f202,f191,f29,f705]) ).

fof(f29,plain,
    ( spl0_5
  <=> ! [X5,X4,X7,X6,X3] : true = is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X3,X4),equivalent(X3,X5)),X6),equivalent(equivalent(X4,X5),X6)),X7),X7)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).

fof(f202,plain,
    ( ! [X2,X3,X0,X1,X8,X6,X7,X4,X5] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X5,X6),equivalent(X5,X7)),X8),equivalent(equivalent(X6,X7),X8)),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),X3),equivalent(equivalent(X1,X2),X3)),X4),X4))),true,true,true)
    | ~ spl0_5
    | ~ spl0_21 ),
    inference(superposition,[],[f192,f30]) ).

fof(f30,plain,
    ( ! [X3,X6,X7,X4,X5] : true = is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X3,X4),equivalent(X3,X5)),X6),equivalent(equivalent(X4,X5),X6)),X7),X7))
    | ~ spl0_5 ),
    inference(avatar_component_clause,[],[f29]) ).

fof(f700,plain,
    ( spl0_62
    | ~ spl0_2
    | ~ spl0_45 ),
    inference(avatar_split_clause,[],[f616,f395,f13,f698]) ).

fof(f698,plain,
    ( spl0_62
  <=> ! [X0,X1] : true = ifeq(is_a_theorem(equivalent(X0,X1)),true,is_a_theorem(equivalent(X0,X1)),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_62])]) ).

fof(f395,plain,
    ( spl0_45
  <=> ! [X0,X1] : true = ifeq(true,true,ifeq(is_a_theorem(equivalent(X0,X1)),true,is_a_theorem(equivalent(X0,X1)),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_45])]) ).

fof(f616,plain,
    ( ! [X0,X1] : true = ifeq(is_a_theorem(equivalent(X0,X1)),true,is_a_theorem(equivalent(X0,X1)),true)
    | ~ spl0_2
    | ~ spl0_45 ),
    inference(superposition,[],[f396,f14]) ).

fof(f396,plain,
    ( ! [X0,X1] : true = ifeq(true,true,ifeq(is_a_theorem(equivalent(X0,X1)),true,is_a_theorem(equivalent(X0,X1)),true),true)
    | ~ spl0_45 ),
    inference(avatar_component_clause,[],[f395]) ).

fof(f690,plain,
    ( spl0_61
    | ~ spl0_4
    | ~ spl0_21 ),
    inference(avatar_split_clause,[],[f201,f191,f21,f688]) ).

fof(f21,plain,
    ( spl0_4
  <=> ! [X5,X4,X6,X3] : true = is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X3,X4),equivalent(X3,X5)),equivalent(X4,X5)),X6),X6)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).

fof(f201,plain,
    ( ! [X2,X3,X0,X1,X6,X7,X4,X5] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X4,X5),equivalent(X4,X6)),X7),equivalent(equivalent(X5,X6),X7)),equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),equivalent(X1,X2)),X3),X3))),true,true,true)
    | ~ spl0_4
    | ~ spl0_21 ),
    inference(superposition,[],[f192,f22]) ).

fof(f22,plain,
    ( ! [X3,X6,X4,X5] : true = is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X3,X4),equivalent(X3,X5)),equivalent(X4,X5)),X6),X6))
    | ~ spl0_4 ),
    inference(avatar_component_clause,[],[f21]) ).

fof(f686,plain,
    ( spl0_60
    | ~ spl0_6
    | ~ spl0_17 ),
    inference(avatar_split_clause,[],[f170,f164,f33,f684]) ).

fof(f170,plain,
    ( ! [X2,X3,X0,X1,X6,X7,X4,X5] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(X5,X6),equivalent(X5,X7)),equivalent(X6,X7)),equivalent(equivalent(equivalent(equivalent(X0,X1),X2),X3),equivalent(equivalent(equivalent(X0,X4),X2),equivalent(equivalent(X1,X4),X3))))),true,true,true)
    | ~ spl0_6
    | ~ spl0_17 ),
    inference(superposition,[],[f165,f34]) ).

fof(f682,plain,
    ( spl0_59
    | ~ spl0_5
    | ~ spl0_17 ),
    inference(avatar_split_clause,[],[f169,f164,f29,f680]) ).

fof(f169,plain,
    ( ! [X2,X3,X0,X1,X6,X7,X4,X5] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(X5,X6),equivalent(X5,X7)),equivalent(X6,X7)),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),X3),equivalent(equivalent(X1,X2),X3)),X4),X4))),true,true,true)
    | ~ spl0_5
    | ~ spl0_17 ),
    inference(superposition,[],[f165,f30]) ).

fof(f675,plain,
    ( spl0_58
    | ~ spl0_4
    | ~ spl0_17 ),
    inference(avatar_split_clause,[],[f168,f164,f21,f673]) ).

fof(f168,plain,
    ( ! [X2,X3,X0,X1,X6,X4,X5] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(X4,X5),equivalent(X4,X6)),equivalent(X5,X6)),equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),equivalent(X1,X2)),X3),X3))),true,true,true)
    | ~ spl0_4
    | ~ spl0_17 ),
    inference(superposition,[],[f165,f22]) ).

fof(f668,plain,
    ( spl0_57
    | ~ spl0_5
    | ~ spl0_22 ),
    inference(avatar_split_clause,[],[f212,f195,f29,f666]) ).

fof(f212,plain,
    ( ! [X2,X3,X0,X1,X4,X5] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),X3),X4),equivalent(equivalent(X4,equivalent(equivalent(X1,X2),X3)),X5)),X5)),true,true,true)
    | ~ spl0_5
    | ~ spl0_22 ),
    inference(superposition,[],[f196,f30]) ).

fof(f566,plain,
    ( spl0_56
    | ~ spl0_2
    | ~ spl0_29 ),
    inference(avatar_split_clause,[],[f311,f295,f13,f564]) ).

fof(f295,plain,
    ( spl0_29
  <=> ! [X5,X4,X0,X3,X2,X1] : true = ifeq(true,true,is_a_theorem(equivalent(equivalent(equivalent(equivalent(X0,X1),X5),X3),equivalent(equivalent(X2,X5),equivalent(equivalent(equivalent(X0,X4),X2),equivalent(equivalent(X1,X4),X3))))),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_29])]) ).

fof(f311,plain,
    ( ! [X2,X3,X0,X1,X4,X5] : true = is_a_theorem(equivalent(equivalent(equivalent(equivalent(X0,X1),X2),X3),equivalent(equivalent(X4,X2),equivalent(equivalent(equivalent(X0,X5),X4),equivalent(equivalent(X1,X5),X3)))))
    | ~ spl0_2
    | ~ spl0_29 ),
    inference(superposition,[],[f296,f14]) ).

fof(f296,plain,
    ( ! [X2,X3,X0,X1,X4,X5] : true = ifeq(true,true,is_a_theorem(equivalent(equivalent(equivalent(equivalent(X0,X1),X5),X3),equivalent(equivalent(X2,X5),equivalent(equivalent(equivalent(X0,X4),X2),equivalent(equivalent(X1,X4),X3))))),true)
    | ~ spl0_29 ),
    inference(avatar_component_clause,[],[f295]) ).

fof(f562,plain,
    ( spl0_55
    | ~ spl0_2
    | ~ spl0_27 ),
    inference(avatar_split_clause,[],[f302,f287,f13,f560]) ).

fof(f287,plain,
    ( spl0_27
  <=> ! [X3,X4,X0,X5,X2,X1] : true = ifeq(true,true,is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),X3),X5),X4),equivalent(equivalent(equivalent(equivalent(X1,X2),X3),X5),X4))),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_27])]) ).

fof(f302,plain,
    ( ! [X2,X3,X0,X1,X4,X5] : true = is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),X3),X4),X5),equivalent(equivalent(equivalent(equivalent(X1,X2),X3),X4),X5)))
    | ~ spl0_2
    | ~ spl0_27 ),
    inference(superposition,[],[f288,f14]) ).

fof(f288,plain,
    ( ! [X2,X3,X0,X1,X4,X5] : true = ifeq(true,true,is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),X3),X5),X4),equivalent(equivalent(equivalent(equivalent(X1,X2),X3),X5),X4))),true)
    | ~ spl0_27 ),
    inference(avatar_component_clause,[],[f287]) ).

fof(f558,plain,
    ( spl0_54
    | ~ spl0_4
    | ~ spl0_22 ),
    inference(avatar_split_clause,[],[f211,f195,f21,f556]) ).

fof(f211,plain,
    ( ! [X2,X3,X0,X1,X4] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),X3),equivalent(equivalent(X3,equivalent(X1,X2)),X4)),X4)),true,true,true)
    | ~ spl0_4
    | ~ spl0_22 ),
    inference(superposition,[],[f196,f22]) ).

fof(f515,plain,
    ( spl0_53
    | ~ spl0_2
    | ~ spl0_23 ),
    inference(avatar_split_clause,[],[f276,f218,f13,f513]) ).

fof(f218,plain,
    ( spl0_23
  <=> ! [X4,X0,X3,X2,X1] : true = ifeq(true,true,is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),X4),X3),equivalent(equivalent(equivalent(X1,X2),X4),X3))),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_23])]) ).

fof(f276,plain,
    ( ! [X2,X3,X0,X1,X4] : true = is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),X3),X4),equivalent(equivalent(equivalent(X1,X2),X3),X4)))
    | ~ spl0_2
    | ~ spl0_23 ),
    inference(superposition,[],[f219,f14]) ).

fof(f219,plain,
    ( ! [X2,X3,X0,X1,X4] : true = ifeq(true,true,is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),X4),X3),equivalent(equivalent(equivalent(X1,X2),X4),X3))),true)
    | ~ spl0_23 ),
    inference(avatar_component_clause,[],[f218]) ).

fof(f511,plain,
    ( spl0_52
    | ~ spl0_6
    | ~ spl0_22 ),
    inference(avatar_split_clause,[],[f213,f195,f33,f509]) ).

fof(f509,plain,
    ( spl0_52
  <=> ! [X4,X0,X3,X1] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X4)),X3),equivalent(equivalent(X1,X4),X3))),true,true,true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_52])]) ).

fof(f213,plain,
    ( ! [X3,X0,X1,X4] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X4)),X3),equivalent(equivalent(X1,X4),X3))),true,true,true)
    | ~ spl0_6
    | ~ spl0_22 ),
    inference(superposition,[],[f196,f34]) ).

fof(f470,plain,
    ( spl0_51
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_18 ),
    inference(avatar_split_clause,[],[f267,f175,f17,f13,f468]) ).

fof(f267,plain,
    ( ! [X2,X0,X1] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X1)),X2)),true,is_a_theorem(X2),true)
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_18 ),
    inference(forward_demodulation,[],[f242,f14]) ).

fof(f242,plain,
    ( ! [X2,X0,X1] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X1)),X2)),true,ifeq(true,true,is_a_theorem(X2),true),true)
    | ~ spl0_3
    | ~ spl0_18 ),
    inference(superposition,[],[f18,f176]) ).

fof(f432,plain,
    ( spl0_50
    | ~ spl0_2
    | ~ spl0_20 ),
    inference(avatar_split_clause,[],[f188,f183,f13,f430]) ).

fof(f183,plain,
    ( spl0_20
  <=> ! [X0,X3,X2,X1] : true = ifeq(true,true,is_a_theorem(equivalent(equivalent(equivalent(X0,X2),X3),equivalent(equivalent(X1,X2),equivalent(equivalent(X0,X1),X3)))),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_20])]) ).

fof(f188,plain,
    ( ! [X2,X3,X0,X1] : true = is_a_theorem(equivalent(equivalent(equivalent(X0,X1),X2),equivalent(equivalent(X3,X1),equivalent(equivalent(X0,X3),X2))))
    | ~ spl0_2
    | ~ spl0_20 ),
    inference(superposition,[],[f184,f14]) ).

fof(f184,plain,
    ( ! [X2,X3,X0,X1] : true = ifeq(true,true,is_a_theorem(equivalent(equivalent(equivalent(X0,X2),X3),equivalent(equivalent(X1,X2),equivalent(equivalent(X0,X1),X3)))),true)
    | ~ spl0_20 ),
    inference(avatar_component_clause,[],[f183]) ).

fof(f428,plain,
    ( spl0_49
    | ~ spl0_2
    | ~ spl0_19 ),
    inference(avatar_split_clause,[],[f186,f179,f13,f426]) ).

fof(f179,plain,
    ( spl0_19
  <=> ! [X0,X3,X2,X1] : true = ifeq(true,true,is_a_theorem(equivalent(equivalent(equivalent(X0,X3),equivalent(X0,X2)),equivalent(equivalent(X1,X3),equivalent(X1,X2)))),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_19])]) ).

fof(f186,plain,
    ( ! [X2,X3,X0,X1] : true = is_a_theorem(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),equivalent(equivalent(X3,X1),equivalent(X3,X2))))
    | ~ spl0_2
    | ~ spl0_19 ),
    inference(superposition,[],[f180,f14]) ).

fof(f180,plain,
    ( ! [X2,X3,X0,X1] : true = ifeq(true,true,is_a_theorem(equivalent(equivalent(equivalent(X0,X3),equivalent(X0,X2)),equivalent(equivalent(X1,X3),equivalent(X1,X2)))),true)
    | ~ spl0_19 ),
    inference(avatar_component_clause,[],[f179]) ).

fof(f409,plain,
    ( spl0_48
    | ~ spl0_6
    | ~ spl0_13 ),
    inference(avatar_split_clause,[],[f132,f82,f33,f407]) ).

fof(f132,plain,
    ( ! [X2,X3,X0,X1,X8,X6,X9,X7,X4,X5] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X5,X6),X7),X8),equivalent(equivalent(equivalent(X5,X9),X7),equivalent(equivalent(X6,X9),X8))),equivalent(equivalent(equivalent(equivalent(X0,X1),X2),X3),equivalent(equivalent(equivalent(X0,X4),X2),equivalent(equivalent(X1,X4),X3))))),true,true,true)
    | ~ spl0_6
    | ~ spl0_13 ),
    inference(superposition,[],[f83,f34]) ).

fof(f405,plain,
    ( spl0_47
    | ~ spl0_5
    | ~ spl0_13 ),
    inference(avatar_split_clause,[],[f131,f82,f29,f403]) ).

fof(f131,plain,
    ( ! [X2,X3,X0,X1,X8,X6,X9,X7,X4,X5] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X5,X6),X7),X8),equivalent(equivalent(equivalent(X5,X9),X7),equivalent(equivalent(X6,X9),X8))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),X3),equivalent(equivalent(X1,X2),X3)),X4),X4))),true,true,true)
    | ~ spl0_5
    | ~ spl0_13 ),
    inference(superposition,[],[f83,f30]) ).

fof(f401,plain,
    ( spl0_46
    | ~ spl0_6
    | ~ spl0_11 ),
    inference(avatar_split_clause,[],[f114,f74,f33,f399]) ).

fof(f114,plain,
    ( ! [X2,X3,X0,X1,X8,X6,X9,X7,X4,X5] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X5,X6),equivalent(X5,X7)),X8),equivalent(equivalent(X6,X7),X8)),X9),X9),equivalent(equivalent(equivalent(equivalent(X0,X1),X2),X3),equivalent(equivalent(equivalent(X0,X4),X2),equivalent(equivalent(X1,X4),X3))))),true,true,true)
    | ~ spl0_6
    | ~ spl0_11 ),
    inference(superposition,[],[f75,f34]) ).

fof(f397,plain,
    ( spl0_45
    | ~ spl0_3
    | ~ spl0_18 ),
    inference(avatar_split_clause,[],[f241,f175,f17,f395]) ).

fof(f241,plain,
    ( ! [X0,X1] : true = ifeq(true,true,ifeq(is_a_theorem(equivalent(X0,X1)),true,is_a_theorem(equivalent(X0,X1)),true),true)
    | ~ spl0_3
    | ~ spl0_18 ),
    inference(superposition,[],[f18,f176]) ).

fof(f393,plain,
    ( spl0_44
    | ~ spl0_5
    | ~ spl0_11 ),
    inference(avatar_split_clause,[],[f113,f74,f29,f391]) ).

fof(f113,plain,
    ( ! [X2,X3,X0,X1,X8,X6,X9,X7,X4,X5] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X5,X6),equivalent(X5,X7)),X8),equivalent(equivalent(X6,X7),X8)),X9),X9),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),X3),equivalent(equivalent(X1,X2),X3)),X4),X4))),true,true,true)
    | ~ spl0_5
    | ~ spl0_11 ),
    inference(superposition,[],[f75,f30]) ).

fof(f388,plain,
    ( spl0_43
    | ~ spl0_6
    | ~ spl0_10 ),
    inference(avatar_split_clause,[],[f99,f70,f33,f386]) ).

fof(f386,plain,
    ( spl0_43
  <=> ! [X2,X3,X0,X1,X8,X6,X7,X4,X5] : true = ifeq(true,true,ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X5,X6),equivalent(X5,X7)),X8),equivalent(equivalent(X6,X7),X8)),equivalent(equivalent(equivalent(equivalent(X0,X1),X2),X3),equivalent(equivalent(equivalent(X0,X4),X2),equivalent(equivalent(X1,X4),X3))))),true,true,true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_43])]) ).

fof(f99,plain,
    ( ! [X2,X3,X0,X1,X8,X6,X7,X4,X5] : true = ifeq(true,true,ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X5,X6),equivalent(X5,X7)),X8),equivalent(equivalent(X6,X7),X8)),equivalent(equivalent(equivalent(equivalent(X0,X1),X2),X3),equivalent(equivalent(equivalent(X0,X4),X2),equivalent(equivalent(X1,X4),X3))))),true,true,true),true)
    | ~ spl0_6
    | ~ spl0_10 ),
    inference(superposition,[],[f71,f34]) ).

fof(f383,plain,
    ( spl0_42
    | ~ spl0_5
    | ~ spl0_10 ),
    inference(avatar_split_clause,[],[f98,f70,f29,f381]) ).

fof(f381,plain,
    ( spl0_42
  <=> ! [X2,X3,X0,X1,X8,X6,X7,X4,X5] : true = ifeq(true,true,ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X5,X6),equivalent(X5,X7)),X8),equivalent(equivalent(X6,X7),X8)),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),X3),equivalent(equivalent(X1,X2),X3)),X4),X4))),true,true,true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_42])]) ).

fof(f98,plain,
    ( ! [X2,X3,X0,X1,X8,X6,X7,X4,X5] : true = ifeq(true,true,ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X5,X6),equivalent(X5,X7)),X8),equivalent(equivalent(X6,X7),X8)),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),X3),equivalent(equivalent(X1,X2),X3)),X4),X4))),true,true,true),true)
    | ~ spl0_5
    | ~ spl0_10 ),
    inference(superposition,[],[f71,f30]) ).

fof(f367,plain,
    ( spl0_41
    | ~ spl0_2
    | ~ spl0_6
    | ~ spl0_9 ),
    inference(avatar_split_clause,[],[f93,f66,f33,f13,f365]) ).

fof(f93,plain,
    ( ! [X2,X3,X0,X1,X8,X6,X7,X4,X5] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),X2),X3),equivalent(equivalent(equivalent(X0,X4),X2),equivalent(equivalent(X1,X4),X3))),equivalent(equivalent(equivalent(equivalent(equivalent(X5,X6),equivalent(X5,X7)),equivalent(X6,X7)),X8),X8))),true,true,true)
    | ~ spl0_2
    | ~ spl0_6
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f90,f14]) ).

fof(f90,plain,
    ( ! [X2,X3,X0,X1,X8,X6,X7,X4,X5] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),X2),X3),equivalent(equivalent(equivalent(X0,X4),X2),equivalent(equivalent(X1,X4),X3))),equivalent(equivalent(equivalent(equivalent(equivalent(X5,X6),equivalent(X5,X7)),equivalent(X6,X7)),X8),X8))),true,ifeq(true,true,true,true),true)
    | ~ spl0_6
    | ~ spl0_9 ),
    inference(superposition,[],[f67,f34]) ).

fof(f363,plain,
    ( spl0_40
    | ~ spl0_2
    | ~ spl0_5
    | ~ spl0_9 ),
    inference(avatar_split_clause,[],[f92,f66,f29,f13,f361]) ).

fof(f92,plain,
    ( ! [X2,X3,X0,X1,X8,X6,X7,X4,X5] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),X3),equivalent(equivalent(X1,X2),X3)),X4),X4),equivalent(equivalent(equivalent(equivalent(equivalent(X5,X6),equivalent(X5,X7)),equivalent(X6,X7)),X8),X8))),true,true,true)
    | ~ spl0_2
    | ~ spl0_5
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f89,f14]) ).

fof(f89,plain,
    ( ! [X2,X3,X0,X1,X8,X6,X7,X4,X5] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),X3),equivalent(equivalent(X1,X2),X3)),X4),X4),equivalent(equivalent(equivalent(equivalent(equivalent(X5,X6),equivalent(X5,X7)),equivalent(X6,X7)),X8),X8))),true,ifeq(true,true,true,true),true)
    | ~ spl0_5
    | ~ spl0_9 ),
    inference(superposition,[],[f67,f30]) ).

fof(f358,plain,
    ( spl0_39
    | ~ spl0_5
    | ~ spl0_9 ),
    inference(avatar_split_clause,[],[f86,f66,f29,f356]) ).

fof(f356,plain,
    ( spl0_39
  <=> ! [X5,X4,X2,X7,X0,X6,X3,X1] : true = ifeq(true,true,ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),X3),equivalent(equivalent(X1,X2),X3)),equivalent(equivalent(equivalent(equivalent(equivalent(X4,X5),equivalent(X4,X6)),equivalent(X5,X6)),X7),X7))),true,true,true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_39])]) ).

fof(f86,plain,
    ( ! [X2,X3,X0,X1,X6,X7,X4,X5] : true = ifeq(true,true,ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),X3),equivalent(equivalent(X1,X2),X3)),equivalent(equivalent(equivalent(equivalent(equivalent(X4,X5),equivalent(X4,X6)),equivalent(X5,X6)),X7),X7))),true,true,true),true)
    | ~ spl0_5
    | ~ spl0_9 ),
    inference(superposition,[],[f67,f30]) ).

fof(f351,plain,
    ( spl0_38
    | ~ spl0_6
    | ~ spl0_8 ),
    inference(avatar_split_clause,[],[f63,f49,f33,f349]) ).

fof(f63,plain,
    ( ! [X2,X3,X0,X1,X8,X6,X7,X4,X5] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X5,X6),equivalent(X5,X7)),equivalent(X6,X7)),X8),X8),equivalent(equivalent(equivalent(equivalent(X0,X1),X2),X3),equivalent(equivalent(equivalent(X0,X4),X2),equivalent(equivalent(X1,X4),X3))))),true,true,true)
    | ~ spl0_6
    | ~ spl0_8 ),
    inference(superposition,[],[f50,f34]) ).

fof(f347,plain,
    ( spl0_37
    | ~ spl0_5
    | ~ spl0_8 ),
    inference(avatar_split_clause,[],[f62,f49,f29,f345]) ).

fof(f62,plain,
    ( ! [X2,X3,X0,X1,X8,X6,X7,X4,X5] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X5,X6),equivalent(X5,X7)),equivalent(X6,X7)),X8),X8),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),X3),equivalent(equivalent(X1,X2),X3)),X4),X4))),true,true,true)
    | ~ spl0_5
    | ~ spl0_8 ),
    inference(superposition,[],[f50,f30]) ).

fof(f342,plain,
    ( spl0_36
    | ~ spl0_6
    | ~ spl0_7 ),
    inference(avatar_split_clause,[],[f55,f45,f33,f340]) ).

fof(f340,plain,
    ( spl0_36
  <=> ! [X5,X6,X4,X0,X7,X3,X2,X1] : true = ifeq(true,true,ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(X5,X6),equivalent(X5,X7)),equivalent(X6,X7)),equivalent(equivalent(equivalent(equivalent(X0,X1),X2),X3),equivalent(equivalent(equivalent(X0,X4),X2),equivalent(equivalent(X1,X4),X3))))),true,true,true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_36])]) ).

fof(f55,plain,
    ( ! [X2,X3,X0,X1,X6,X7,X4,X5] : true = ifeq(true,true,ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(X5,X6),equivalent(X5,X7)),equivalent(X6,X7)),equivalent(equivalent(equivalent(equivalent(X0,X1),X2),X3),equivalent(equivalent(equivalent(X0,X4),X2),equivalent(equivalent(X1,X4),X3))))),true,true,true),true)
    | ~ spl0_6
    | ~ spl0_7 ),
    inference(superposition,[],[f46,f34]) ).

fof(f337,plain,
    ( spl0_35
    | ~ spl0_5
    | ~ spl0_7 ),
    inference(avatar_split_clause,[],[f54,f45,f29,f335]) ).

fof(f335,plain,
    ( spl0_35
  <=> ! [X5,X6,X4,X0,X7,X3,X2,X1] : true = ifeq(true,true,ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(X5,X6),equivalent(X5,X7)),equivalent(X6,X7)),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),X3),equivalent(equivalent(X1,X2),X3)),X4),X4))),true,true,true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_35])]) ).

fof(f54,plain,
    ( ! [X2,X3,X0,X1,X6,X7,X4,X5] : true = ifeq(true,true,ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(X5,X6),equivalent(X5,X7)),equivalent(X6,X7)),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),X3),equivalent(equivalent(X1,X2),X3)),X4),X4))),true,true,true),true)
    | ~ spl0_5
    | ~ spl0_7 ),
    inference(superposition,[],[f46,f30]) ).

fof(f329,plain,
    ( spl0_34
    | ~ spl0_4
    | ~ spl0_8 ),
    inference(avatar_split_clause,[],[f61,f49,f21,f327]) ).

fof(f61,plain,
    ( ! [X2,X3,X0,X1,X6,X7,X4,X5] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X4,X5),equivalent(X4,X6)),equivalent(X5,X6)),X7),X7),equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),equivalent(X1,X2)),X3),X3))),true,true,true)
    | ~ spl0_4
    | ~ spl0_8 ),
    inference(superposition,[],[f50,f22]) ).

fof(f324,plain,
    ( spl0_33
    | ~ spl0_4
    | ~ spl0_7 ),
    inference(avatar_split_clause,[],[f53,f45,f21,f322]) ).

fof(f322,plain,
    ( spl0_33
  <=> ! [X5,X6,X4,X0,X3,X2,X1] : true = ifeq(true,true,ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(X4,X5),equivalent(X4,X6)),equivalent(X5,X6)),equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),equivalent(X1,X2)),X3),X3))),true,true,true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_33])]) ).

fof(f53,plain,
    ( ! [X2,X3,X0,X1,X6,X4,X5] : true = ifeq(true,true,ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(X4,X5),equivalent(X4,X6)),equivalent(X5,X6)),equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),equivalent(X1,X2)),X3),X3))),true,true,true),true)
    | ~ spl0_4
    | ~ spl0_7 ),
    inference(superposition,[],[f46,f22]) ).

fof(f319,plain,
    ( spl0_32
    | ~ spl0_5
    | ~ spl0_12 ),
    inference(avatar_split_clause,[],[f120,f78,f29,f317]) ).

fof(f317,plain,
    ( spl0_32
  <=> ! [X3,X4,X0,X5,X2,X1] : true = ifeq(true,true,ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),X3),X4),equivalent(equivalent(X4,equivalent(equivalent(X1,X2),X3)),X5)),X5)),true,true,true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_32])]) ).

fof(f78,plain,
    ( spl0_12
  <=> ! [X4,X0,X3,X2,X1] : true = ifeq(true,true,ifeq(is_a_theorem(equivalent(equivalent(equivalent(X0,X1),X2),X3)),true,is_a_theorem(equivalent(equivalent(equivalent(X0,X4),X2),equivalent(equivalent(X1,X4),X3))),true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).

fof(f120,plain,
    ( ! [X2,X3,X0,X1,X4,X5] : true = ifeq(true,true,ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),X3),X4),equivalent(equivalent(X4,equivalent(equivalent(X1,X2),X3)),X5)),X5)),true,true,true),true)
    | ~ spl0_5
    | ~ spl0_12 ),
    inference(superposition,[],[f79,f30]) ).

fof(f79,plain,
    ( ! [X2,X3,X0,X1,X4] : true = ifeq(true,true,ifeq(is_a_theorem(equivalent(equivalent(equivalent(X0,X1),X2),X3)),true,is_a_theorem(equivalent(equivalent(equivalent(X0,X4),X2),equivalent(equivalent(X1,X4),X3))),true),true)
    | ~ spl0_12 ),
    inference(avatar_component_clause,[],[f78]) ).

fof(f310,plain,
    ( spl0_31
    | ~ spl0_18
    | ~ spl0_22 ),
    inference(avatar_split_clause,[],[f225,f195,f175,f308]) ).

fof(f225,plain,
    ( ! [X2,X0] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(X0,X0),X2),X2)),true,true,true)
    | ~ spl0_18
    | ~ spl0_22 ),
    inference(superposition,[],[f196,f176]) ).

fof(f301,plain,
    ( spl0_30
    | ~ spl0_3
    | ~ spl0_13 ),
    inference(avatar_split_clause,[],[f133,f82,f17,f299]) ).

fof(f133,plain,
    ( ! [X2,X3,X0,X1,X4,X5] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),X2),X3),equivalent(equivalent(equivalent(X0,X4),X2),equivalent(equivalent(X1,X4),X3))),X5),X5)),true,true,true)
    | ~ spl0_3
    | ~ spl0_13 ),
    inference(superposition,[],[f18,f83]) ).

fof(f297,plain,
    ( spl0_29
    | ~ spl0_2
    | ~ spl0_6
    | ~ spl0_12 ),
    inference(avatar_split_clause,[],[f126,f78,f33,f13,f295]) ).

fof(f126,plain,
    ( ! [X2,X3,X0,X1,X4,X5] : true = ifeq(true,true,is_a_theorem(equivalent(equivalent(equivalent(equivalent(X0,X1),X5),X3),equivalent(equivalent(X2,X5),equivalent(equivalent(equivalent(X0,X4),X2),equivalent(equivalent(X1,X4),X3))))),true)
    | ~ spl0_2
    | ~ spl0_6
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f118,f14]) ).

fof(f118,plain,
    ( ! [X2,X3,X0,X1,X4,X5] : true = ifeq(true,true,ifeq(true,true,is_a_theorem(equivalent(equivalent(equivalent(equivalent(X0,X1),X5),X3),equivalent(equivalent(X2,X5),equivalent(equivalent(equivalent(X0,X4),X2),equivalent(equivalent(X1,X4),X3))))),true),true)
    | ~ spl0_6
    | ~ spl0_12 ),
    inference(superposition,[],[f79,f34]) ).

fof(f293,plain,
    ( spl0_28
    | ~ spl0_3
    | ~ spl0_11 ),
    inference(avatar_split_clause,[],[f115,f74,f17,f291]) ).

fof(f115,plain,
    ( ! [X2,X3,X0,X1,X4,X5] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),X3),equivalent(equivalent(X1,X2),X3)),X4),X4),X5),X5)),true,true,true)
    | ~ spl0_3
    | ~ spl0_11 ),
    inference(superposition,[],[f18,f75]) ).

fof(f289,plain,
    ( spl0_27
    | ~ spl0_6
    | ~ spl0_11 ),
    inference(avatar_split_clause,[],[f111,f74,f33,f287]) ).

fof(f111,plain,
    ( ! [X2,X3,X0,X1,X4,X5] : true = ifeq(true,true,is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),X3),X5),X4),equivalent(equivalent(equivalent(equivalent(X1,X2),X3),X5),X4))),true)
    | ~ spl0_6
    | ~ spl0_11 ),
    inference(superposition,[],[f75,f34]) ).

fof(f284,plain,
    ( spl0_26
    | ~ spl0_6
    | ~ spl0_9 ),
    inference(avatar_split_clause,[],[f87,f66,f33,f282]) ).

fof(f282,plain,
    ( spl0_26
  <=> ! [X4,X0,X3,X2,X1] : true = ifeq(true,true,ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),X3),equivalent(equivalent(X3,equivalent(X1,X2)),X4)),X4)),true,true,true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_26])]) ).

fof(f87,plain,
    ( ! [X2,X3,X0,X1,X4] : true = ifeq(true,true,ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),X3),equivalent(equivalent(X3,equivalent(X1,X2)),X4)),X4)),true,true,true),true)
    | ~ spl0_6
    | ~ spl0_9 ),
    inference(superposition,[],[f67,f34]) ).

fof(f274,plain,
    ( spl0_25
    | ~ spl0_6
    | ~ spl0_12 ),
    inference(avatar_split_clause,[],[f121,f78,f33,f272]) ).

fof(f272,plain,
    ( spl0_25
  <=> ! [X4,X0,X3,X1] : true = ifeq(true,true,ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X4)),X3),equivalent(equivalent(X1,X4),X3))),true,true,true),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_25])]) ).

fof(f121,plain,
    ( ! [X3,X0,X1,X4] : true = ifeq(true,true,ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X4)),X3),equivalent(equivalent(X1,X4),X3))),true,true,true),true)
    | ~ spl0_6
    | ~ spl0_12 ),
    inference(superposition,[],[f79,f34]) ).

fof(f224,plain,
    ( spl0_24
    | ~ spl0_3
    | ~ spl0_8 ),
    inference(avatar_split_clause,[],[f64,f49,f17,f222]) ).

fof(f64,plain,
    ( ! [X2,X3,X0,X1,X4] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),equivalent(X1,X2)),X3),X3),X4),X4)),true,true,true)
    | ~ spl0_3
    | ~ spl0_8 ),
    inference(superposition,[],[f18,f50]) ).

fof(f220,plain,
    ( spl0_23
    | ~ spl0_6
    | ~ spl0_8 ),
    inference(avatar_split_clause,[],[f60,f49,f33,f218]) ).

fof(f60,plain,
    ( ! [X2,X3,X0,X1,X4] : true = ifeq(true,true,is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),X4),X3),equivalent(equivalent(equivalent(X1,X2),X4),X3))),true)
    | ~ spl0_6
    | ~ spl0_8 ),
    inference(superposition,[],[f50,f34]) ).

fof(f197,plain,
    ( spl0_22
    | ~ spl0_2
    | ~ spl0_12 ),
    inference(avatar_split_clause,[],[f122,f78,f13,f195]) ).

fof(f122,plain,
    ( ! [X2,X3,X0,X1,X4] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(X0,X1),X2),X3)),true,is_a_theorem(equivalent(equivalent(equivalent(X0,X4),X2),equivalent(equivalent(X1,X4),X3))),true)
    | ~ spl0_2
    | ~ spl0_12 ),
    inference(superposition,[],[f79,f14]) ).

fof(f193,plain,
    ( spl0_21
    | ~ spl0_2
    | ~ spl0_10 ),
    inference(avatar_split_clause,[],[f100,f70,f13,f191]) ).

fof(f100,plain,
    ( ! [X2,X3,X0,X1,X4] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),X3),equivalent(equivalent(X1,X2),X3)),X4)),true,is_a_theorem(X4),true)
    | ~ spl0_2
    | ~ spl0_10 ),
    inference(superposition,[],[f71,f14]) ).

fof(f185,plain,
    ( spl0_20
    | ~ spl0_2
    | ~ spl0_5
    | ~ spl0_10 ),
    inference(avatar_split_clause,[],[f103,f70,f29,f13,f183]) ).

fof(f103,plain,
    ( ! [X2,X3,X0,X1] : true = ifeq(true,true,is_a_theorem(equivalent(equivalent(equivalent(X0,X2),X3),equivalent(equivalent(X1,X2),equivalent(equivalent(X0,X1),X3)))),true)
    | ~ spl0_2
    | ~ spl0_5
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f95,f14]) ).

fof(f95,plain,
    ( ! [X2,X3,X0,X1] : true = ifeq(true,true,ifeq(true,true,is_a_theorem(equivalent(equivalent(equivalent(X0,X2),X3),equivalent(equivalent(X1,X2),equivalent(equivalent(X0,X1),X3)))),true),true)
    | ~ spl0_5
    | ~ spl0_10 ),
    inference(superposition,[],[f71,f30]) ).

fof(f181,plain,
    ( spl0_19
    | ~ spl0_2
    | ~ spl0_6
    | ~ spl0_7 ),
    inference(avatar_split_clause,[],[f58,f45,f33,f13,f179]) ).

fof(f58,plain,
    ( ! [X2,X3,X0,X1] : true = ifeq(true,true,is_a_theorem(equivalent(equivalent(equivalent(X0,X3),equivalent(X0,X2)),equivalent(equivalent(X1,X3),equivalent(X1,X2)))),true)
    | ~ spl0_2
    | ~ spl0_6
    | ~ spl0_7 ),
    inference(forward_demodulation,[],[f52,f14]) ).

fof(f52,plain,
    ( ! [X2,X3,X0,X1] : true = ifeq(true,true,ifeq(true,true,is_a_theorem(equivalent(equivalent(equivalent(X0,X3),equivalent(X0,X2)),equivalent(equivalent(X1,X3),equivalent(X1,X2)))),true),true)
    | ~ spl0_6
    | ~ spl0_7 ),
    inference(superposition,[],[f46,f34]) ).

fof(f177,plain,
    ( spl0_18
    | ~ spl0_2
    | ~ spl0_14 ),
    inference(avatar_split_clause,[],[f161,f107,f13,f175]) ).

fof(f107,plain,
    ( spl0_14
  <=> ! [X2,X1] : true = ifeq(true,true,is_a_theorem(equivalent(equivalent(X1,X2),equivalent(X1,X2))),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_14])]) ).

fof(f161,plain,
    ( ! [X0,X1] : true = is_a_theorem(equivalent(equivalent(X0,X1),equivalent(X0,X1)))
    | ~ spl0_2
    | ~ spl0_14 ),
    inference(superposition,[],[f108,f14]) ).

fof(f108,plain,
    ( ! [X2,X1] : true = ifeq(true,true,is_a_theorem(equivalent(equivalent(X1,X2),equivalent(X1,X2))),true)
    | ~ spl0_14 ),
    inference(avatar_component_clause,[],[f107]) ).

fof(f166,plain,
    ( spl0_17
    | ~ spl0_2
    | ~ spl0_7 ),
    inference(avatar_split_clause,[],[f56,f45,f13,f164]) ).

fof(f56,plain,
    ( ! [X2,X3,X0,X1] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),equivalent(X1,X2)),X3)),true,is_a_theorem(X3),true)
    | ~ spl0_2
    | ~ spl0_7 ),
    inference(superposition,[],[f46,f14]) ).

fof(f142,plain,
    ( spl0_16
    | ~ spl0_3
    | ~ spl0_6 ),
    inference(avatar_split_clause,[],[f41,f33,f17,f140]) ).

fof(f41,plain,
    ( ! [X2,X3,X0,X1,X4,X5] : true = ifeq(is_a_theorem(equivalent(X5,equivalent(equivalent(equivalent(equivalent(X0,X1),X2),X3),equivalent(equivalent(equivalent(X0,X4),X2),equivalent(equivalent(X1,X4),X3))))),true,ifeq(is_a_theorem(X5),true,true,true),true)
    | ~ spl0_3
    | ~ spl0_6 ),
    inference(superposition,[],[f18,f34]) ).

fof(f138,plain,
    ( spl0_15
    | ~ spl0_3
    | ~ spl0_5 ),
    inference(avatar_split_clause,[],[f37,f29,f17,f136]) ).

fof(f37,plain,
    ( ! [X2,X3,X0,X1,X4,X5] : true = ifeq(is_a_theorem(equivalent(X5,equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),X3),equivalent(equivalent(X1,X2),X3)),X4),X4))),true,ifeq(is_a_theorem(X5),true,true,true),true)
    | ~ spl0_3
    | ~ spl0_5 ),
    inference(superposition,[],[f18,f30]) ).

fof(f109,plain,
    ( spl0_14
    | ~ spl0_5
    | ~ spl0_8 ),
    inference(avatar_split_clause,[],[f59,f49,f29,f107]) ).

fof(f59,plain,
    ( ! [X2,X1] : true = ifeq(true,true,is_a_theorem(equivalent(equivalent(X1,X2),equivalent(X1,X2))),true)
    | ~ spl0_5
    | ~ spl0_8 ),
    inference(superposition,[],[f50,f30]) ).

fof(f84,plain,
    ( spl0_13
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_6 ),
    inference(avatar_split_clause,[],[f43,f33,f17,f13,f82]) ).

fof(f43,plain,
    ( ! [X2,X3,X0,X1,X4,X5] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),X2),X3),equivalent(equivalent(equivalent(X0,X4),X2),equivalent(equivalent(X1,X4),X3))),X5)),true,is_a_theorem(X5),true)
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_6 ),
    inference(forward_demodulation,[],[f42,f14]) ).

fof(f42,plain,
    ( ! [X2,X3,X0,X1,X4,X5] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),X2),X3),equivalent(equivalent(equivalent(X0,X4),X2),equivalent(equivalent(X1,X4),X3))),X5)),true,ifeq(true,true,is_a_theorem(X5),true),true)
    | ~ spl0_3
    | ~ spl0_6 ),
    inference(superposition,[],[f18,f34]) ).

fof(f80,plain,
    ( spl0_12
    | ~ spl0_3
    | ~ spl0_6 ),
    inference(avatar_split_clause,[],[f40,f33,f17,f78]) ).

fof(f40,plain,
    ( ! [X2,X3,X0,X1,X4] : true = ifeq(true,true,ifeq(is_a_theorem(equivalent(equivalent(equivalent(X0,X1),X2),X3)),true,is_a_theorem(equivalent(equivalent(equivalent(X0,X4),X2),equivalent(equivalent(X1,X4),X3))),true),true)
    | ~ spl0_3
    | ~ spl0_6 ),
    inference(superposition,[],[f18,f34]) ).

fof(f76,plain,
    ( spl0_11
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_5 ),
    inference(avatar_split_clause,[],[f39,f29,f17,f13,f74]) ).

fof(f39,plain,
    ( ! [X2,X3,X0,X1,X4,X5] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),X3),equivalent(equivalent(X1,X2),X3)),X4),X4),X5)),true,is_a_theorem(X5),true)
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_5 ),
    inference(forward_demodulation,[],[f38,f14]) ).

fof(f38,plain,
    ( ! [X2,X3,X0,X1,X4,X5] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),X3),equivalent(equivalent(X1,X2),X3)),X4),X4),X5)),true,ifeq(true,true,is_a_theorem(X5),true),true)
    | ~ spl0_3
    | ~ spl0_5 ),
    inference(superposition,[],[f18,f30]) ).

fof(f72,plain,
    ( spl0_10
    | ~ spl0_3
    | ~ spl0_5 ),
    inference(avatar_split_clause,[],[f36,f29,f17,f70]) ).

fof(f36,plain,
    ( ! [X2,X3,X0,X1,X4] : true = ifeq(true,true,ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),X3),equivalent(equivalent(X1,X2),X3)),X4)),true,is_a_theorem(X4),true),true)
    | ~ spl0_3
    | ~ spl0_5 ),
    inference(superposition,[],[f18,f30]) ).

fof(f68,plain,
    ( spl0_9
    | ~ spl0_3
    | ~ spl0_4 ),
    inference(avatar_split_clause,[],[f25,f21,f17,f66]) ).

fof(f25,plain,
    ( ! [X2,X3,X0,X1,X4] : true = ifeq(is_a_theorem(equivalent(X4,equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),equivalent(X1,X2)),X3),X3))),true,ifeq(is_a_theorem(X4),true,true,true),true)
    | ~ spl0_3
    | ~ spl0_4 ),
    inference(superposition,[],[f18,f22]) ).

fof(f51,plain,
    ( spl0_8
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4 ),
    inference(avatar_split_clause,[],[f27,f21,f17,f13,f49]) ).

fof(f27,plain,
    ( ! [X2,X3,X0,X1,X4] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),equivalent(X1,X2)),X3),X3),X4)),true,is_a_theorem(X4),true)
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4 ),
    inference(forward_demodulation,[],[f26,f14]) ).

fof(f26,plain,
    ( ! [X2,X3,X0,X1,X4] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),equivalent(X1,X2)),X3),X3),X4)),true,ifeq(true,true,is_a_theorem(X4),true),true)
    | ~ spl0_3
    | ~ spl0_4 ),
    inference(superposition,[],[f18,f22]) ).

fof(f47,plain,
    ( spl0_7
    | ~ spl0_3
    | ~ spl0_4 ),
    inference(avatar_split_clause,[],[f24,f21,f17,f45]) ).

fof(f24,plain,
    ( ! [X2,X3,X0,X1] : true = ifeq(true,true,ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),equivalent(X1,X2)),X3)),true,is_a_theorem(X3),true),true)
    | ~ spl0_3
    | ~ spl0_4 ),
    inference(superposition,[],[f18,f22]) ).

fof(f35,plain,
    spl0_6,
    inference(avatar_split_clause,[],[f5,f33]) ).

fof(f5,axiom,
    ! [X3,X6,X7,X4,X5] : true = is_a_theorem(equivalent(equivalent(equivalent(equivalent(X3,X4),X5),X6),equivalent(equivalent(equivalent(X3,X7),X5),equivalent(equivalent(X4,X7),X6)))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).

fof(f31,plain,
    spl0_5,
    inference(avatar_split_clause,[],[f4,f29]) ).

fof(f4,axiom,
    ! [X3,X6,X7,X4,X5] : true = is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X3,X4),equivalent(X3,X5)),X6),equivalent(equivalent(X4,X5),X6)),X7),X7)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).

fof(f23,plain,
    spl0_4,
    inference(avatar_split_clause,[],[f3,f21]) ).

fof(f3,axiom,
    ! [X3,X6,X4,X5] : true = is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X3,X4),equivalent(X3,X5)),equivalent(X4,X5)),X6),X6)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).

fof(f19,plain,
    spl0_3,
    inference(avatar_split_clause,[],[f2,f17]) ).

fof(f2,axiom,
    ! [X3,X4] : true = ifeq(is_a_theorem(equivalent(X3,X4)),true,ifeq(is_a_theorem(X3),true,is_a_theorem(X4),true),true),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).

fof(f15,plain,
    spl0_2,
    inference(avatar_split_clause,[],[f1,f13]) ).

fof(f1,axiom,
    ! [X2,X0,X1] : ifeq(X0,X0,X1,X2) = X1,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).

fof(f11,plain,
    ~ spl0_1,
    inference(avatar_split_clause,[],[f6,f8]) ).

fof(f6,axiom,
    true != is_a_theorem(equivalent(equivalent(equivalent(a,equivalent(equivalent(b,b),a)),c),c)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12  % Problem    : LCL096-10 : TPTP v8.2.0. Released v7.3.0.
% 0.10/0.12  % Command    : run_vampire %s %d SAT
% 0.12/0.32  % Computer : n029.cluster.edu
% 0.12/0.32  % Model    : x86_64 x86_64
% 0.12/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32  % Memory   : 8042.1875MB
% 0.12/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32  % CPULimit   : 300
% 0.12/0.32  % WCLimit    : 300
% 0.12/0.32  % DateTime   : Sat Jun 22 16:22:24 EDT 2024
% 0.12/0.32  % CPUTime    : 
% 0.12/0.34  This is a CNF_UNS_RFO_PEQ_UEQ problem
% 0.12/0.34  Running first-order model finding
% 0.12/0.34  Running /export/starexec/sandbox/solver/bin/vampire --mode casc_sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.38  % (22581)Running in auto input_syntax mode. Trying TPTP
% 0.12/0.38  % (22586)ott+21_1:1_sil=4000:i=104:fsd=on:fd=off:newcnf=on_0 on theBenchmark for (3000ds/104Mi)
% 0.12/0.40  % (22581)Running in auto input_syntax mode. Trying TPTP
% 0.12/0.40  % (22584)fmb+10_1:1_sil=256000:fmbes=contour:i=214858:bce=on_0 on theBenchmark for (3000ds/214858Mi)
% 0.12/0.40  TRYING [1]
% 0.12/0.40  TRYING [2]
% 0.12/0.40  % (22581)Running in auto input_syntax mode. Trying TPTP
% 0.12/0.40  % (22587)ott+11_8:59_sil=16000:sp=occurrence:lsd=20:abs=on:i=146:aac=none:nm=16:fdi=10:rawr=on:nicw=on_0 on theBenchmark for (3000ds/146Mi)
% 0.21/0.40  TRYING [3]
% 0.21/0.41  % (22581)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.41  % (22585)fmb+10_1:1_sil=256000:fmbss=23:fmbes=contour:newcnf=on:fmbsr=1.14:i=152523:nm=2:gsp=on:rp=on_0 on theBenchmark for (3000ds/152523Mi)
% 0.21/0.41  % (22581)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.41  % (22582)fmb+10_1:1_sil=256000:i=98885:tgt=full:fmbsr=1.3:fmbss=10_0 on theBenchmark for (3000ds/98885Mi)
% 0.21/0.41  % (22581)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.41  % (22588)ott-4_1:1_sil=4000:sp=reverse_arity:lcm=predicate:newcnf=on:i=115:bce=on:fd=off:fs=off:fsr=off_0 on theBenchmark for (3000ds/115Mi)
% 0.21/0.41  % (22581)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.41  % (22583)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:i=99418_0 on theBenchmark for (3000ds/99418Mi)
% 0.21/0.42  % (22586)Instruction limit reached!
% 0.21/0.42  % (22586)------------------------------
% 0.21/0.42  % (22586)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.21/0.42  % (22586)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.21/0.42  % (22586)Termination reason: Time limit
% 0.21/0.42  % (22586)Termination phase: Saturation
% 0.21/0.42  
% 0.21/0.42  % (22586)Memory used [KB]: 1733
% 0.21/0.42  % (22586)Time elapsed: 0.036 s
% 0.21/0.42  % (22586)Instructions burned: 104 (million)
% 0.21/0.43  TRYING [4]
% 0.21/0.46  % (22581)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.46  % (22602)dis+11_1:3_bsr=unit_only:sil=2000:rp=on:newcnf=on:i=404:kws=precedence:lsd=100_0 on theBenchmark for (2999ds/404Mi)
% 0.21/0.47  % (22588)Instruction limit reached!
% 0.21/0.47  % (22588)------------------------------
% 0.21/0.47  % (22588)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.21/0.47  % (22588)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.21/0.47  % (22588)Termination reason: Time limit
% 0.21/0.47  % (22588)Termination phase: Saturation
% 0.21/0.47  
% 0.21/0.47  % (22588)Memory used [KB]: 1386
% 0.21/0.47  % (22588)Time elapsed: 0.063 s
% 0.21/0.47  % (22588)Instructions burned: 115 (million)
% 0.21/0.48  % (22587)Instruction limit reached!
% 0.21/0.48  % (22587)------------------------------
% 0.21/0.48  % (22587)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.21/0.48  % (22587)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.21/0.48  % (22587)Termination reason: Time limit
% 0.21/0.48  % (22587)Termination phase: Saturation
% 0.21/0.48  
% 0.21/0.48  % (22587)Memory used [KB]: 1945
% 0.21/0.48  % (22587)Time elapsed: 0.076 s
% 0.21/0.48  % (22587)Instructions burned: 148 (million)
% 0.21/0.50  TRYING [10]
% 0.21/0.51  % (22581)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.51  % (22629)ott-21_1:1_sil=4000:sp=const_frequency:i=175:fsr=off:fs=off:av=off_0 on theBenchmark for (2998ds/175Mi)
% 0.21/0.52  % (22581)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.52  % (22631)ott+33_1:1_to=lpo:sil=8000:sp=weighted_frequency:rp=on:i=270:nm=3:fsr=off:sac=on_0 on theBenchmark for (2998ds/270Mi)
% 0.21/0.57  % (22629)Instruction limit reached!
% 0.21/0.57  % (22629)------------------------------
% 0.21/0.57  % (22629)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.21/0.57  % (22629)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.21/0.57  % (22629)Termination reason: Time limit
% 0.21/0.57  % (22629)Termination phase: Saturation
% 0.21/0.57  
% 0.21/0.57  % (22629)Memory used [KB]: 1710
% 0.21/0.57  % (22629)Time elapsed: 0.055 s
% 0.21/0.57  % (22629)Instructions burned: 175 (million)
% 0.21/0.60  % (22602)Instruction limit reached!
% 0.21/0.60  % (22602)------------------------------
% 0.21/0.60  % (22602)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.21/0.60  % (22602)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.21/0.60  % (22602)Termination reason: Time limit
% 0.21/0.60  % (22602)Termination phase: Saturation
% 0.21/0.60  
% 0.21/0.60  % (22602)Memory used [KB]: 3239
% 0.21/0.60  % (22602)Time elapsed: 0.149 s
% 0.21/0.60  % (22602)Instructions burned: 404 (million)
% 1.95/0.62  % (22631)Instruction limit reached!
% 1.95/0.62  % (22631)------------------------------
% 1.95/0.62  % (22631)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 1.95/0.62  % (22631)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 1.95/0.62  % (22631)Termination reason: Time limit
% 1.95/0.62  % (22631)Termination phase: Saturation
% 1.95/0.62  
% 1.95/0.62  % (22631)Memory used [KB]: 3224
% 1.95/0.62  % (22631)Time elapsed: 0.110 s
% 1.95/0.62  % (22631)Instructions burned: 270 (million)
% 1.95/0.63  % (22581)Running in auto input_syntax mode. Trying TPTP
% 1.95/0.63  % (22694)ott+4_1:1_sil=2000:i=900:bd=off:fsr=off_0 on theBenchmark for (2997ds/900Mi)
% 2.10/0.67  % (22581)Running in auto input_syntax mode. Trying TPTP
% 2.10/0.67  % (22695)fmb+10_1:1_sil=8000:fde=unused:fmbes=contour:i=7859:nm=2:fmbswr=0_0 on theBenchmark for (2997ds/7859Mi)
% 2.10/0.67  TRYING [1]
% 2.10/0.67  TRYING [5]
% 2.10/0.67  TRYING [2]
% 2.10/0.68  TRYING [3]
% 2.10/0.68  % (22581)Running in auto input_syntax mode. Trying TPTP
% 2.10/0.68  % (22696)ott+11_1:2_anc=none:sil=2000:sp=const_max:spb=units:s2a=on:i=2145:s2at=5.0:awrs=converge:awrsf=170:rawr=on:gs=on:fsr=off_0 on theBenchmark for (2997ds/2145Mi)
% 2.46/0.70  TRYING [4]
% 3.58/0.97  TRYING [5]
% 3.58/1.00  % (22694)Instruction limit reached!
% 3.58/1.00  % (22694)------------------------------
% 3.58/1.00  % (22694)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 3.58/1.00  % (22694)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 3.58/1.00  % (22694)Termination reason: Time limit
% 3.58/1.00  % (22694)Termination phase: Saturation
% 3.58/1.00  
% 3.58/1.00  % (22694)Memory used [KB]: 6340
% 3.58/1.00  % (22694)Time elapsed: 0.376 s
% 3.58/1.00  % (22694)Instructions burned: 901 (million)
% 4.20/1.07  % (22581)Running in auto input_syntax mode. Trying TPTP
% 4.20/1.07  % (22698)ott-30_1:1024_sil=4000:alpa=true:newcnf=on:i=1187:bs=unit_only:ins=1:amm=off_0 on theBenchmark for (2993ds/1187Mi)
% 8.57/1.61  % (22583)First to succeed.
% 9.09/1.64  % (22583)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-22581"
% 9.09/1.64  % (22581)Running in auto input_syntax mode. Trying TPTP
% 9.09/1.64  % (22583)Refutation found. Thanks to Tanya!
% 9.09/1.64  % SZS status Unsatisfiable for theBenchmark
% 9.09/1.64  % SZS output start Proof for theBenchmark
% See solution above
% 9.09/1.66  % (22583)------------------------------
% 9.09/1.66  % (22583)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 9.09/1.66  % (22583)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 9.09/1.66  % (22583)Termination reason: Refutation
% 9.09/1.66  
% 9.09/1.66  % (22583)Memory used [KB]: 12261
% 9.09/1.66  % (22583)Time elapsed: 1.234 s
% 9.09/1.66  % (22583)Instructions burned: 3039 (million)
% 9.09/1.66  % (22583)------------------------------
% 9.09/1.66  % (22583)------------------------------
% 9.09/1.66  % (22581)Success in time 1.296 s
%------------------------------------------------------------------------------