%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : SET095+1 : TPTP v8.1.2. Bugfixed v5.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s

% Computer : n021.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Sun May  5 09:11:08 EDT 2024

% Result   : Theorem 6.45s 1.30s
% Output   : Refutation 6.45s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :  479
% Syntax   : Number of formulae    : 1640 ( 131 unt;   0 def)
%            Number of atoms       : 5380 ( 426 equ)
%            Maximal formula atoms :    8 (   3 avg)
%            Number of connectives : 6621 (2881   ~;3097   |; 158   &)
%                                         ( 461 <=>;  24  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   5 avg)
%            Maximal term depth    :   25 (   2 avg)
%            Number of predicates  :  435 ( 433 usr; 429 prp; 0-2 aty)
%            Number of functors    :   34 (  34 usr;   9 con; 0-3 aty)
%            Number of variables   : 2265 (2236   !;  29   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f13112,plain,
    $false,
    inference(avatar_sat_refutation,[],[f272,f277,f282,f287,f291,f295,f300,f304,f309,f314,f318,f322,f326,f331,f335,f339,f343,f347,f351,f355,f359,f364,f368,f372,f376,f380,f384,f399,f403,f411,f415,f419,f423,f427,f431,f435,f439,f443,f447,f472,f476,f480,f484,f488,f492,f532,f536,f540,f544,f575,f579,f583,f587,f612,f616,f620,f624,f628,f633,f637,f641,f648,f652,f658,f662,f666,f675,f679,f683,f687,f700,f704,f708,f741,f745,f758,f762,f788,f797,f801,f805,f815,f819,f823,f827,f834,f838,f845,f857,f866,f870,f874,f878,f888,f892,f896,f903,f907,f911,f967,f971,f975,f1000,f1004,f1008,f1012,f1016,f1020,f1029,f1038,f1042,f1046,f1050,f1054,f1062,f1066,f1070,f1074,f1118,f1236,f1240,f1244,f1248,f1252,f1256,f1260,f1264,f1268,f1272,f1276,f1280,f1284,f1288,f1292,f1296,f1300,f1304,f1364,f1494,f1498,f1502,f1506,f1510,f1514,f1518,f1522,f1526,f1534,f1538,f1542,f1546,f1669,f1842,f1846,f1850,f1856,f1860,f1864,f1868,f1951,f1976,f1980,f1984,f1988,f2067,f2071,f2075,f2079,f2211,f2215,f2219,f2223,f2262,f2266,f2270,f2424,f2436,f2464,f2468,f2472,f2476,f2480,f2517,f2670,f2674,f2678,f2682,f2686,f2690,f2694,f2698,f2702,f2706,f2714,f3136,f3140,f3144,f3149,f3153,f3157,f3161,f3165,f3411,f3453,f3458,f3462,f3514,f3518,f3582,f3586,f3686,f3690,f3699,f3715,f3720,f3725,f3730,f3735,f3740,f3815,f3820,f4174,f4181,f4185,f4189,f4216,f4330,f4339,f4343,f4447,f4504,f4508,f4565,f4607,f4619,f4628,f4643,f4679,f4683,f4751,f4755,f4887,f4946,f5026,f5039,f5052,f5066,f5070,f5146,f5150,f5155,f5159,f5174,f5178,f5218,f5227,f5315,f5319,f5335,f5341,f5345,f5349,f5358,f5362,f5436,f5440,f5469,f5474,f5479,f5495,f5886,f5894,f5917,f5921,f5925,f5929,f5933,f5937,f6001,f6049,f6070,f6076,f6079,f6083,f6118,f6126,f6134,f6138,f6142,f6146,f6150,f6155,f6160,f6165,f6170,f6175,f6184,f6189,f6315,f6320,f6324,f6328,f6342,f6346,f6350,f6354,f6358,f6363,f6368,f6372,f6401,f6405,f6851,f6857,f6861,f6865,f6913,f6914,f6915,f6916,f6917,f6999,f7015,f7019,f7023,f7027,f7031,f7046,f7118,f7122,f7126,f7138,f7144,f7148,f7169,f7173,f7177,f7182,f7191,f7200,f7208,f7217,f7221,f8133,f10284,f10390,f10553,f10599,f10897,f10923,f10953,f10960,f11064,f11068,f11072,f11076,f11084,f11089,f11094,f11108,f11125,f11129,f11133,f11261,f11265,f11274,f11282,f11289,f11296,f11300,f11304,f11308,f11312,f11316,f11320,f11326,f11330,f11334,f11338,f11343,f11348,f11352,f11356,f11360,f11364,f11368,f11372,f11376,f11380,f11384,f11419,f11498,f11753,f11757,f11776,f11803,f12127,f12170,f13072,f13078,f13082,f13086,f13090,f13094,f13098,f13102,f13106,f13110,f13111]) ).

fof(f13111,plain,
    ( spl8_2
    | ~ spl8_1
    | ~ spl8_33
    | ~ spl8_231 ),
    inference(avatar_split_clause,[],[f4097,f3817,f417,f269,f274]) ).

fof(f274,plain,
    ( spl8_2
  <=> subclass(unordered_pair(sK0,sK0),sK1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_2])]) ).

fof(f269,plain,
    ( spl8_1
  <=> member(sK0,sK1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_1])]) ).

fof(f417,plain,
    ( spl8_33
  <=> ! [X0,X1] :
        ( subclass(X0,X1)
        | ~ member(sK4(X0,X1),X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_33])]) ).

fof(f3817,plain,
    ( spl8_231
  <=> sK0 = sK4(unordered_pair(sK0,sK0),sK1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_231])]) ).

fof(f4097,plain,
    ( ~ member(sK0,sK1)
    | subclass(unordered_pair(sK0,sK0),sK1)
    | ~ spl8_33
    | ~ spl8_231 ),
    inference(superposition,[],[f418,f3819]) ).

fof(f3819,plain,
    ( sK0 = sK4(unordered_pair(sK0,sK0),sK1)
    | ~ spl8_231 ),
    inference(avatar_component_clause,[],[f3817]) ).

fof(f418,plain,
    ( ! [X0,X1] :
        ( ~ member(sK4(X0,X1),X1)
        | subclass(X0,X1) )
    | ~ spl8_33 ),
    inference(avatar_component_clause,[],[f417]) ).

fof(f13110,plain,
    ( spl8_428
    | ~ spl8_35
    | ~ spl8_117 ),
    inference(avatar_split_clause,[],[f1149,f1048,f425,f13108]) ).

fof(f13108,plain,
    ( spl8_428
  <=> ! [X2,X0,X1] :
        ( ~ subclass(universal_class,intersection(X0,X1))
        | ~ member(X2,universal_class)
        | member(power_class(X2),X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_428])]) ).

fof(f425,plain,
    ( spl8_35
  <=> ! [X2,X0,X1] :
        ( member(X2,X1)
        | ~ member(X2,intersection(X0,X1)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_35])]) ).

fof(f1048,plain,
    ( spl8_117
  <=> ! [X0,X1] :
        ( member(power_class(X0),X1)
        | ~ subclass(universal_class,X1)
        | ~ member(X0,universal_class) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_117])]) ).

fof(f1149,plain,
    ( ! [X2,X0,X1] :
        ( ~ subclass(universal_class,intersection(X0,X1))
        | ~ member(X2,universal_class)
        | member(power_class(X2),X1) )
    | ~ spl8_35
    | ~ spl8_117 ),
    inference(resolution,[],[f1049,f426]) ).

fof(f426,plain,
    ( ! [X2,X0,X1] :
        ( ~ member(X2,intersection(X0,X1))
        | member(X2,X1) )
    | ~ spl8_35 ),
    inference(avatar_component_clause,[],[f425]) ).

fof(f1049,plain,
    ( ! [X0,X1] :
        ( member(power_class(X0),X1)
        | ~ subclass(universal_class,X1)
        | ~ member(X0,universal_class) )
    | ~ spl8_117 ),
    inference(avatar_component_clause,[],[f1048]) ).

fof(f13106,plain,
    ( spl8_427
    | ~ spl8_34
    | ~ spl8_116 ),
    inference(avatar_split_clause,[],[f1128,f1044,f421,f13104]) ).

fof(f13104,plain,
    ( spl8_427
  <=> ! [X2,X0,X1] :
        ( ~ subclass(universal_class,intersection(X0,X1))
        | ~ member(X2,universal_class)
        | member(sum_class(X2),X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_427])]) ).

fof(f421,plain,
    ( spl8_34
  <=> ! [X2,X0,X1] :
        ( member(X2,X0)
        | ~ member(X2,intersection(X0,X1)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_34])]) ).

fof(f1044,plain,
    ( spl8_116
  <=> ! [X0,X1] :
        ( member(sum_class(X0),X1)
        | ~ subclass(universal_class,X1)
        | ~ member(X0,universal_class) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_116])]) ).

fof(f1128,plain,
    ( ! [X2,X0,X1] :
        ( ~ subclass(universal_class,intersection(X0,X1))
        | ~ member(X2,universal_class)
        | member(sum_class(X2),X0) )
    | ~ spl8_34
    | ~ spl8_116 ),
    inference(resolution,[],[f1045,f422]) ).

fof(f422,plain,
    ( ! [X2,X0,X1] :
        ( ~ member(X2,intersection(X0,X1))
        | member(X2,X0) )
    | ~ spl8_34 ),
    inference(avatar_component_clause,[],[f421]) ).

fof(f1045,plain,
    ( ! [X0,X1] :
        ( member(sum_class(X0),X1)
        | ~ subclass(universal_class,X1)
        | ~ member(X0,universal_class) )
    | ~ spl8_116 ),
    inference(avatar_component_clause,[],[f1044]) ).

fof(f13102,plain,
    ( spl8_426
    | ~ spl8_35
    | ~ spl8_116 ),
    inference(avatar_split_clause,[],[f1127,f1044,f425,f13100]) ).

fof(f13100,plain,
    ( spl8_426
  <=> ! [X2,X0,X1] :
        ( ~ subclass(universal_class,intersection(X0,X1))
        | ~ member(X2,universal_class)
        | member(sum_class(X2),X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_426])]) ).

fof(f1127,plain,
    ( ! [X2,X0,X1] :
        ( ~ subclass(universal_class,intersection(X0,X1))
        | ~ member(X2,universal_class)
        | member(sum_class(X2),X1) )
    | ~ spl8_35
    | ~ spl8_116 ),
    inference(resolution,[],[f1045,f426]) ).

fof(f13098,plain,
    ( spl8_425
    | ~ spl8_15
    | ~ spl8_115 ),
    inference(avatar_split_clause,[],[f1111,f1040,f333,f13096]) ).

fof(f13096,plain,
    ( spl8_425
  <=> ! [X0] :
        ( ~ member(sK2(sK2(X0)),X0)
        | null_class = X0
        | null_class = sK2(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_425])]) ).

fof(f333,plain,
    ( spl8_15
  <=> ! [X0] :
        ( member(sK2(X0),X0)
        | null_class = X0 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_15])]) ).

fof(f1040,plain,
    ( spl8_115
  <=> ! [X0,X1] :
        ( ~ member(X0,sK2(X1))
        | ~ member(X0,X1)
        | null_class = X1 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_115])]) ).

fof(f1111,plain,
    ( ! [X0] :
        ( ~ member(sK2(sK2(X0)),X0)
        | null_class = X0
        | null_class = sK2(X0) )
    | ~ spl8_15
    | ~ spl8_115 ),
    inference(resolution,[],[f1041,f334]) ).

fof(f334,plain,
    ( ! [X0] :
        ( member(sK2(X0),X0)
        | null_class = X0 )
    | ~ spl8_15 ),
    inference(avatar_component_clause,[],[f333]) ).

fof(f1041,plain,
    ( ! [X0,X1] :
        ( ~ member(X0,sK2(X1))
        | ~ member(X0,X1)
        | null_class = X1 )
    | ~ spl8_115 ),
    inference(avatar_component_clause,[],[f1040]) ).

fof(f13094,plain,
    ( spl8_424
    | ~ spl8_100
    | ~ spl8_115 ),
    inference(avatar_split_clause,[],[f1108,f1040,f905,f13092]) ).

fof(f13092,plain,
    ( spl8_424
  <=> ! [X2,X0,X1] :
        ( ~ member(unordered_pair(X0,X1),X2)
        | null_class = X2
        | ~ subclass(universal_class,sK2(X2)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_424])]) ).

fof(f905,plain,
    ( spl8_100
  <=> ! [X2,X0,X1] :
        ( member(unordered_pair(X0,X1),X2)
        | ~ subclass(universal_class,X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_100])]) ).

fof(f1108,plain,
    ( ! [X2,X0,X1] :
        ( ~ member(unordered_pair(X0,X1),X2)
        | null_class = X2
        | ~ subclass(universal_class,sK2(X2)) )
    | ~ spl8_100
    | ~ spl8_115 ),
    inference(resolution,[],[f1041,f906]) ).

fof(f906,plain,
    ( ! [X2,X0,X1] :
        ( member(unordered_pair(X0,X1),X2)
        | ~ subclass(universal_class,X2) )
    | ~ spl8_100 ),
    inference(avatar_component_clause,[],[f905]) ).

fof(f13090,plain,
    ( spl8_423
    | ~ spl8_101
    | ~ spl8_108 ),
    inference(avatar_split_clause,[],[f1099,f1010,f909,f13088]) ).

fof(f13088,plain,
    ( spl8_423
  <=> ! [X0,X1] :
        ( subclass(power_class(X0),X1)
        | member(null_class,X0)
        | ~ inductive(sK4(power_class(X0),X1)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_423])]) ).

fof(f909,plain,
    ( spl8_101
  <=> ! [X0,X1] :
        ( member(null_class,X0)
        | ~ subclass(X1,X0)
        | ~ inductive(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_101])]) ).

fof(f1010,plain,
    ( spl8_108
  <=> ! [X0,X1] :
        ( subclass(power_class(X0),X1)
        | subclass(sK4(power_class(X0),X1),X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_108])]) ).

fof(f1099,plain,
    ( ! [X0,X1] :
        ( subclass(power_class(X0),X1)
        | member(null_class,X0)
        | ~ inductive(sK4(power_class(X0),X1)) )
    | ~ spl8_101
    | ~ spl8_108 ),
    inference(resolution,[],[f1011,f910]) ).

fof(f910,plain,
    ( ! [X0,X1] :
        ( ~ subclass(X1,X0)
        | member(null_class,X0)
        | ~ inductive(X1) )
    | ~ spl8_101 ),
    inference(avatar_component_clause,[],[f909]) ).

fof(f1011,plain,
    ( ! [X0,X1] :
        ( subclass(sK4(power_class(X0),X1),X0)
        | subclass(power_class(X0),X1) )
    | ~ spl8_108 ),
    inference(avatar_component_clause,[],[f1010]) ).

fof(f13086,plain,
    ( spl8_422
    | ~ spl8_98
    | ~ spl8_105 ),
    inference(avatar_split_clause,[],[f1082,f998,f894,f13084]) ).

fof(f13084,plain,
    ( spl8_422
  <=> ! [X0] :
        ( subclass(complement(sum_class(universal_class)),X0)
        | ~ member(sK4(complement(sum_class(universal_class)),X0),sK7) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_422])]) ).

fof(f894,plain,
    ( spl8_98
  <=> ! [X0] :
        ( member(X0,sum_class(universal_class))
        | ~ member(X0,sK7) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_98])]) ).

fof(f998,plain,
    ( spl8_105
  <=> ! [X0,X1] :
        ( subclass(complement(X0),X1)
        | ~ member(sK4(complement(X0),X1),X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_105])]) ).

fof(f1082,plain,
    ( ! [X0] :
        ( subclass(complement(sum_class(universal_class)),X0)
        | ~ member(sK4(complement(sum_class(universal_class)),X0),sK7) )
    | ~ spl8_98
    | ~ spl8_105 ),
    inference(resolution,[],[f999,f895]) ).

fof(f895,plain,
    ( ! [X0] :
        ( member(X0,sum_class(universal_class))
        | ~ member(X0,sK7) )
    | ~ spl8_98 ),
    inference(avatar_component_clause,[],[f894]) ).

fof(f999,plain,
    ( ! [X0,X1] :
        ( ~ member(sK4(complement(X0),X1),X0)
        | subclass(complement(X0),X1) )
    | ~ spl8_105 ),
    inference(avatar_component_clause,[],[f998]) ).

fof(f13082,plain,
    ( spl8_421
    | ~ spl8_15
    | ~ spl8_104 ),
    inference(avatar_split_clause,[],[f994,f973,f333,f13080]) ).

fof(f13080,plain,
    ( spl8_421
  <=> ! [X0,X1] :
        ( member(sK2(unordered_pair(X0,X1)),sum_class(universal_class))
        | unordered_pair(X0,X1) = null_class ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_421])]) ).

fof(f973,plain,
    ( spl8_104
  <=> ! [X2,X0,X1] :
        ( member(X0,sum_class(universal_class))
        | ~ member(X0,unordered_pair(X1,X2)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_104])]) ).

fof(f994,plain,
    ( ! [X0,X1] :
        ( member(sK2(unordered_pair(X0,X1)),sum_class(universal_class))
        | unordered_pair(X0,X1) = null_class )
    | ~ spl8_15
    | ~ spl8_104 ),
    inference(resolution,[],[f974,f334]) ).

fof(f974,plain,
    ( ! [X2,X0,X1] :
        ( ~ member(X0,unordered_pair(X1,X2))
        | member(X0,sum_class(universal_class)) )
    | ~ spl8_104 ),
    inference(avatar_component_clause,[],[f973]) ).

fof(f13078,plain,
    ( spl8_420
    | ~ spl8_50
    | ~ spl8_100 ),
    inference(avatar_split_clause,[],[f932,f905,f542,f13076]) ).

fof(f13076,plain,
    ( spl8_420
  <=> ! [X0,X3,X2,X1] :
        ( ~ subclass(universal_class,X0)
        | member(X1,sum_class(X0))
        | ~ member(X1,unordered_pair(X2,X3)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_420])]) ).

fof(f542,plain,
    ( spl8_50
  <=> ! [X2,X0,X1] :
        ( member(X0,sum_class(X1))
        | ~ member(X2,X1)
        | ~ member(X0,X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_50])]) ).

fof(f932,plain,
    ( ! [X2,X3,X0,X1] :
        ( ~ subclass(universal_class,X0)
        | member(X1,sum_class(X0))
        | ~ member(X1,unordered_pair(X2,X3)) )
    | ~ spl8_50
    | ~ spl8_100 ),
    inference(resolution,[],[f906,f543]) ).

fof(f543,plain,
    ( ! [X2,X0,X1] :
        ( ~ member(X2,X1)
        | member(X0,sum_class(X1))
        | ~ member(X0,X2) )
    | ~ spl8_50 ),
    inference(avatar_component_clause,[],[f542]) ).

fof(f13072,plain,
    ( spl8_419
    | ~ spl8_44
    | ~ spl8_299 ),
    inference(avatar_split_clause,[],[f9246,f6067,f482,f13070]) ).

fof(f13070,plain,
    ( spl8_419
  <=> ! [X0] :
        ( member(sum_class(sK1),X0)
        | ~ subclass(universal_class,X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_419])]) ).

fof(f482,plain,
    ( spl8_44
  <=> ! [X0,X1,X3] :
        ( member(X3,X1)
        | ~ member(X3,X0)
        | ~ subclass(X0,X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_44])]) ).

fof(f6067,plain,
    ( spl8_299
  <=> member(sum_class(sK1),universal_class) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_299])]) ).

fof(f9246,plain,
    ( ! [X0] :
        ( member(sum_class(sK1),X0)
        | ~ subclass(universal_class,X0) )
    | ~ spl8_44
    | ~ spl8_299 ),
    inference(resolution,[],[f6068,f483]) ).

fof(f483,plain,
    ( ! [X3,X0,X1] :
        ( ~ member(X3,X0)
        | member(X3,X1)
        | ~ subclass(X0,X1) )
    | ~ spl8_44 ),
    inference(avatar_component_clause,[],[f482]) ).

fof(f6068,plain,
    ( member(sum_class(sK1),universal_class)
    | ~ spl8_299 ),
    inference(avatar_component_clause,[],[f6067]) ).

fof(f12170,plain,
    ( spl8_418
    | ~ spl8_222
    | ~ spl8_229 ),
    inference(avatar_split_clause,[],[f3741,f3738,f3692,f12168]) ).

fof(f12168,plain,
    ( spl8_418
  <=> ! [X0] :
        ( power_class(X0) = identity_relation
        | ~ member(power_class(X0),universal_class)
        | member(sum_class(domain_of(domain_of(flip(cross_product(intersection(sK6,cross_product(unordered_pair(power_class(X0),power_class(X0)),universal_class)),universal_class))))),universal_class) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_418])]) ).

fof(f3692,plain,
    ( spl8_222
  <=> null_class = identity_relation ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_222])]) ).

fof(f3738,plain,
    ( spl8_229
  <=> ! [X0] :
        ( null_class = power_class(X0)
        | ~ member(power_class(X0),universal_class)
        | member(sum_class(domain_of(domain_of(flip(cross_product(intersection(sK6,cross_product(unordered_pair(power_class(X0),power_class(X0)),universal_class)),universal_class))))),universal_class) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_229])]) ).

fof(f3741,plain,
    ( ! [X0] :
        ( power_class(X0) = identity_relation
        | ~ member(power_class(X0),universal_class)
        | member(sum_class(domain_of(domain_of(flip(cross_product(intersection(sK6,cross_product(unordered_pair(power_class(X0),power_class(X0)),universal_class)),universal_class))))),universal_class) )
    | ~ spl8_222
    | ~ spl8_229 ),
    inference(forward_demodulation,[],[f3739,f3694]) ).

fof(f3694,plain,
    ( null_class = identity_relation
    | ~ spl8_222 ),
    inference(avatar_component_clause,[],[f3692]) ).

fof(f3739,plain,
    ( ! [X0] :
        ( member(sum_class(domain_of(domain_of(flip(cross_product(intersection(sK6,cross_product(unordered_pair(power_class(X0),power_class(X0)),universal_class)),universal_class))))),universal_class)
        | ~ member(power_class(X0),universal_class)
        | null_class = power_class(X0) )
    | ~ spl8_229 ),
    inference(avatar_component_clause,[],[f3738]) ).

fof(f12127,plain,
    ( spl8_417
    | ~ spl8_67
    | ~ spl8_223 ),
    inference(avatar_split_clause,[],[f4016,f3696,f664,f12125]) ).

fof(f12125,plain,
    ( spl8_417
  <=> ! [X0,X1] :
        ( ~ member(sK2(identity_relation),cross_product(X0,X1))
        | member(sK3(sK2(identity_relation)),X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_417])]) ).

fof(f664,plain,
    ( spl8_67
  <=> ! [X0,X3,X2,X1] :
        ( member(X0,X2)
        | ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),cross_product(X2,X3)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_67])]) ).

fof(f3696,plain,
    ( spl8_223
  <=> sK2(identity_relation) = unordered_pair(unordered_pair(sK3(sK2(identity_relation)),sK3(sK2(identity_relation))),unordered_pair(sK3(sK2(identity_relation)),unordered_pair(sK3(sK2(identity_relation)),sK3(sK2(identity_relation))))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_223])]) ).

fof(f4016,plain,
    ( ! [X0,X1] :
        ( ~ member(sK2(identity_relation),cross_product(X0,X1))
        | member(sK3(sK2(identity_relation)),X0) )
    | ~ spl8_67
    | ~ spl8_223 ),
    inference(superposition,[],[f665,f3698]) ).

fof(f3698,plain,
    ( sK2(identity_relation) = unordered_pair(unordered_pair(sK3(sK2(identity_relation)),sK3(sK2(identity_relation))),unordered_pair(sK3(sK2(identity_relation)),unordered_pair(sK3(sK2(identity_relation)),sK3(sK2(identity_relation)))))
    | ~ spl8_223 ),
    inference(avatar_component_clause,[],[f3696]) ).

fof(f665,plain,
    ( ! [X2,X3,X0,X1] :
        ( ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),cross_product(X2,X3))
        | member(X0,X2) )
    | ~ spl8_67 ),
    inference(avatar_component_clause,[],[f664]) ).

fof(f11803,plain,
    ( spl8_416
    | ~ spl8_222
    | ~ spl8_228 ),
    inference(avatar_split_clause,[],[f3736,f3733,f3692,f11801]) ).

fof(f11801,plain,
    ( spl8_416
  <=> ! [X0] :
        ( power_class(X0) = identity_relation
        | ~ member(power_class(X0),universal_class)
        | subclass(sum_class(domain_of(domain_of(flip(cross_product(intersection(sK6,cross_product(unordered_pair(power_class(X0),power_class(X0)),universal_class)),universal_class))))),X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_416])]) ).

fof(f3733,plain,
    ( spl8_228
  <=> ! [X0] :
        ( null_class = power_class(X0)
        | ~ member(power_class(X0),universal_class)
        | subclass(sum_class(domain_of(domain_of(flip(cross_product(intersection(sK6,cross_product(unordered_pair(power_class(X0),power_class(X0)),universal_class)),universal_class))))),X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_228])]) ).

fof(f3736,plain,
    ( ! [X0] :
        ( power_class(X0) = identity_relation
        | ~ member(power_class(X0),universal_class)
        | subclass(sum_class(domain_of(domain_of(flip(cross_product(intersection(sK6,cross_product(unordered_pair(power_class(X0),power_class(X0)),universal_class)),universal_class))))),X0) )
    | ~ spl8_222
    | ~ spl8_228 ),
    inference(forward_demodulation,[],[f3734,f3694]) ).

fof(f3734,plain,
    ( ! [X0] :
        ( subclass(sum_class(domain_of(domain_of(flip(cross_product(intersection(sK6,cross_product(unordered_pair(power_class(X0),power_class(X0)),universal_class)),universal_class))))),X0)
        | ~ member(power_class(X0),universal_class)
        | null_class = power_class(X0) )
    | ~ spl8_228 ),
    inference(avatar_component_clause,[],[f3733]) ).

fof(f11776,plain,
    ( ~ spl8_415
    | ~ spl8_222
    | spl8_366 ),
    inference(avatar_split_clause,[],[f11412,f10387,f3692,f11773]) ).

fof(f11773,plain,
    ( spl8_415
  <=> function(identity_relation) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_415])]) ).

fof(f10387,plain,
    ( spl8_366
  <=> function(null_class) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_366])]) ).

fof(f11412,plain,
    ( ~ function(identity_relation)
    | ~ spl8_222
    | spl8_366 ),
    inference(superposition,[],[f10389,f3694]) ).

fof(f10389,plain,
    ( ~ function(null_class)
    | spl8_366 ),
    inference(avatar_component_clause,[],[f10387]) ).

fof(f11757,plain,
    ( spl8_414
    | ~ spl8_66
    | ~ spl8_223 ),
    inference(avatar_split_clause,[],[f4015,f3696,f660,f11755]) ).

fof(f11755,plain,
    ( spl8_414
  <=> ! [X0,X1] :
        ( ~ member(sK2(identity_relation),cross_product(X0,X1))
        | member(sK3(sK2(identity_relation)),X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_414])]) ).

fof(f660,plain,
    ( spl8_66
  <=> ! [X0,X3,X2,X1] :
        ( member(X1,X3)
        | ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),cross_product(X2,X3)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_66])]) ).

fof(f4015,plain,
    ( ! [X0,X1] :
        ( ~ member(sK2(identity_relation),cross_product(X0,X1))
        | member(sK3(sK2(identity_relation)),X1) )
    | ~ spl8_66
    | ~ spl8_223 ),
    inference(superposition,[],[f661,f3698]) ).

fof(f661,plain,
    ( ! [X2,X3,X0,X1] :
        ( ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),cross_product(X2,X3))
        | member(X1,X3) )
    | ~ spl8_66 ),
    inference(avatar_component_clause,[],[f660]) ).

fof(f11753,plain,
    ( ~ spl8_31
    | spl8_222
    | ~ spl8_284
    | ~ spl8_286
    | ~ spl8_332 ),
    inference(avatar_split_clause,[],[f11709,f6403,f5493,f5471,f3692,f408]) ).

fof(f408,plain,
    ( spl8_31
  <=> member(null_class,universal_class) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_31])]) ).

fof(f5471,plain,
    ( spl8_284
  <=> null_class = complement(universal_class) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_284])]) ).

fof(f5493,plain,
    ( spl8_286
  <=> ! [X0] :
        ( complement(X0) = identity_relation
        | ~ member(complement(X0),universal_class)
        | ~ member(sum_class(domain_of(domain_of(flip(cross_product(intersection(sK6,cross_product(unordered_pair(complement(X0),complement(X0)),universal_class)),universal_class))))),X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_286])]) ).

fof(f6403,plain,
    ( spl8_332
  <=> ! [X0] :
        ( complement(X0) = identity_relation
        | ~ member(complement(X0),universal_class)
        | member(sum_class(domain_of(domain_of(flip(cross_product(intersection(sK6,cross_product(unordered_pair(complement(X0),complement(X0)),universal_class)),universal_class))))),universal_class) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_332])]) ).

fof(f11709,plain,
    ( null_class = identity_relation
    | ~ member(null_class,universal_class)
    | ~ spl8_284
    | ~ spl8_286
    | ~ spl8_332 ),
    inference(forward_demodulation,[],[f11708,f5473]) ).

fof(f5473,plain,
    ( null_class = complement(universal_class)
    | ~ spl8_284 ),
    inference(avatar_component_clause,[],[f5471]) ).

fof(f11708,plain,
    ( ~ member(null_class,universal_class)
    | identity_relation = complement(universal_class)
    | ~ spl8_284
    | ~ spl8_286
    | ~ spl8_332 ),
    inference(forward_demodulation,[],[f11707,f5473]) ).

fof(f11707,plain,
    ( ~ member(complement(universal_class),universal_class)
    | identity_relation = complement(universal_class)
    | ~ spl8_286
    | ~ spl8_332 ),
    inference(duplicate_literal_removal,[],[f11674]) ).

fof(f11674,plain,
    ( ~ member(complement(universal_class),universal_class)
    | identity_relation = complement(universal_class)
    | ~ member(complement(universal_class),universal_class)
    | identity_relation = complement(universal_class)
    | ~ spl8_286
    | ~ spl8_332 ),
    inference(resolution,[],[f6404,f5494]) ).

fof(f5494,plain,
    ( ! [X0] :
        ( ~ member(sum_class(domain_of(domain_of(flip(cross_product(intersection(sK6,cross_product(unordered_pair(complement(X0),complement(X0)),universal_class)),universal_class))))),X0)
        | ~ member(complement(X0),universal_class)
        | complement(X0) = identity_relation )
    | ~ spl8_286 ),
    inference(avatar_component_clause,[],[f5493]) ).

fof(f6404,plain,
    ( ! [X0] :
        ( member(sum_class(domain_of(domain_of(flip(cross_product(intersection(sK6,cross_product(unordered_pair(complement(X0),complement(X0)),universal_class)),universal_class))))),universal_class)
        | ~ member(complement(X0),universal_class)
        | complement(X0) = identity_relation )
    | ~ spl8_332 ),
    inference(avatar_component_clause,[],[f6403]) ).

fof(f11498,plain,
    ( ~ spl8_412
    | spl8_413
    | spl8_189
    | ~ spl8_379 ),
    inference(avatar_split_clause,[],[f11158,f11123,f2514,f11495,f11491]) ).

fof(f11491,plain,
    ( spl8_412
  <=> inductive(sK2(sK1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_412])]) ).

fof(f11495,plain,
    ( spl8_413
  <=> null_class = sK1 ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_413])]) ).

fof(f2514,plain,
    ( spl8_189
  <=> member(null_class,sum_class(sK1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_189])]) ).

fof(f11123,plain,
    ( spl8_379
  <=> ! [X0] :
        ( member(null_class,sum_class(X0))
        | null_class = X0
        | ~ inductive(sK2(X0)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_379])]) ).

fof(f11158,plain,
    ( null_class = sK1
    | ~ inductive(sK2(sK1))
    | spl8_189
    | ~ spl8_379 ),
    inference(resolution,[],[f11124,f2515]) ).

fof(f2515,plain,
    ( ~ member(null_class,sum_class(sK1))
    | spl8_189 ),
    inference(avatar_component_clause,[],[f2514]) ).

fof(f11124,plain,
    ( ! [X0] :
        ( member(null_class,sum_class(X0))
        | null_class = X0
        | ~ inductive(sK2(X0)) )
    | ~ spl8_379 ),
    inference(avatar_component_clause,[],[f11123]) ).

fof(f11419,plain,
    ( spl8_411
    | ~ spl8_222
    | ~ spl8_227 ),
    inference(avatar_split_clause,[],[f3731,f3728,f3692,f11417]) ).

fof(f11417,plain,
    ( spl8_411
  <=> ! [X0] :
        ( domain_of(X0) = identity_relation
        | ~ member(domain_of(X0),universal_class)
        | member(sum_class(domain_of(domain_of(flip(cross_product(intersection(sK6,cross_product(unordered_pair(domain_of(X0),domain_of(X0)),universal_class)),universal_class))))),universal_class) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_411])]) ).

fof(f3728,plain,
    ( spl8_227
  <=> ! [X0] :
        ( null_class = domain_of(X0)
        | ~ member(domain_of(X0),universal_class)
        | member(sum_class(domain_of(domain_of(flip(cross_product(intersection(sK6,cross_product(unordered_pair(domain_of(X0),domain_of(X0)),universal_class)),universal_class))))),universal_class) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_227])]) ).

fof(f3731,plain,
    ( ! [X0] :
        ( domain_of(X0) = identity_relation
        | ~ member(domain_of(X0),universal_class)
        | member(sum_class(domain_of(domain_of(flip(cross_product(intersection(sK6,cross_product(unordered_pair(domain_of(X0),domain_of(X0)),universal_class)),universal_class))))),universal_class) )
    | ~ spl8_222
    | ~ spl8_227 ),
    inference(forward_demodulation,[],[f3729,f3694]) ).

fof(f3729,plain,
    ( ! [X0] :
        ( member(sum_class(domain_of(domain_of(flip(cross_product(intersection(sK6,cross_product(unordered_pair(domain_of(X0),domain_of(X0)),universal_class)),universal_class))))),universal_class)
        | ~ member(domain_of(X0),universal_class)
        | null_class = domain_of(X0) )
    | ~ spl8_227 ),
    inference(avatar_component_clause,[],[f3728]) ).

fof(f11384,plain,
    ( spl8_362
    | spl8_410
    | ~ spl8_65
    | ~ spl8_223 ),
    inference(avatar_split_clause,[],[f4014,f3696,f656,f11382,f7210]) ).

fof(f7210,plain,
    ( spl8_362
  <=> member(sK3(sK2(identity_relation)),universal_class) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_362])]) ).

fof(f11382,plain,
    ( spl8_410
  <=> ! [X0,X1] : ~ member(sK2(identity_relation),compose(X0,X1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_410])]) ).

fof(f656,plain,
    ( spl8_65
  <=> ! [X0,X3,X2,X1] :
        ( member(X2,universal_class)
        | ~ member(unordered_pair(unordered_pair(X2,X2),unordered_pair(X2,unordered_pair(X3,X3))),compose(X1,X0)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_65])]) ).

fof(f4014,plain,
    ( ! [X0,X1] :
        ( ~ member(sK2(identity_relation),compose(X0,X1))
        | member(sK3(sK2(identity_relation)),universal_class) )
    | ~ spl8_65
    | ~ spl8_223 ),
    inference(superposition,[],[f657,f3698]) ).

fof(f657,plain,
    ( ! [X2,X3,X0,X1] :
        ( ~ member(unordered_pair(unordered_pair(X2,X2),unordered_pair(X2,unordered_pair(X3,X3))),compose(X1,X0))
        | member(X2,universal_class) )
    | ~ spl8_65 ),
    inference(avatar_component_clause,[],[f656]) ).

fof(f11380,plain,
    ( spl8_409
    | ~ spl8_66
    | ~ spl8_179 ),
    inference(avatar_split_clause,[],[f2375,f2268,f660,f11378]) ).

fof(f11378,plain,
    ( spl8_409
  <=> ! [X2,X0,X1] :
        ( ~ member(X0,universal_class)
        | ~ subclass(identity_relation,cross_product(X1,X2))
        | member(X0,X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_409])]) ).

fof(f2268,plain,
    ( spl8_179
  <=> ! [X0,X1] :
        ( ~ member(X0,universal_class)
        | member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X0,X0))),X1)
        | ~ subclass(identity_relation,X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_179])]) ).

fof(f2375,plain,
    ( ! [X2,X0,X1] :
        ( ~ member(X0,universal_class)
        | ~ subclass(identity_relation,cross_product(X1,X2))
        | member(X0,X2) )
    | ~ spl8_66
    | ~ spl8_179 ),
    inference(resolution,[],[f2269,f661]) ).

fof(f2269,plain,
    ( ! [X0,X1] :
        ( member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X0,X0))),X1)
        | ~ member(X0,universal_class)
        | ~ subclass(identity_relation,X1) )
    | ~ spl8_179 ),
    inference(avatar_component_clause,[],[f2268]) ).

fof(f11376,plain,
    ( spl8_408
    | ~ spl8_67
    | ~ spl8_179 ),
    inference(avatar_split_clause,[],[f2374,f2268,f664,f11374]) ).

fof(f11374,plain,
    ( spl8_408
  <=> ! [X2,X0,X1] :
        ( ~ member(X0,universal_class)
        | ~ subclass(identity_relation,cross_product(X1,X2))
        | member(X0,X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_408])]) ).

fof(f2374,plain,
    ( ! [X2,X0,X1] :
        ( ~ member(X0,universal_class)
        | ~ subclass(identity_relation,cross_product(X1,X2))
        | member(X0,X1) )
    | ~ spl8_67
    | ~ spl8_179 ),
    inference(resolution,[],[f2269,f665]) ).

fof(f11372,plain,
    ( spl8_407
    | ~ spl8_177 ),
    inference(avatar_split_clause,[],[f2333,f2260,f11370]) ).

fof(f11370,plain,
    ( spl8_407
  <=> ! [X0] :
        ( member(sK2(union(X0,X0)),X0)
        | null_class = union(X0,X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_407])]) ).

fof(f2260,plain,
    ( spl8_177
  <=> ! [X0,X1] :
        ( member(sK2(union(X0,X1)),X0)
        | member(sK2(union(X0,X1)),X1)
        | null_class = union(X0,X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_177])]) ).

fof(f2333,plain,
    ( ! [X0] :
        ( member(sK2(union(X0,X0)),X0)
        | null_class = union(X0,X0) )
    | ~ spl8_177 ),
    inference(factoring,[],[f2261]) ).

fof(f2261,plain,
    ( ! [X0,X1] :
        ( member(sK2(union(X0,X1)),X1)
        | member(sK2(union(X0,X1)),X0)
        | null_class = union(X0,X1) )
    | ~ spl8_177 ),
    inference(avatar_component_clause,[],[f2260]) ).

fof(f11368,plain,
    ( spl8_406
    | ~ spl8_44
    | ~ spl8_289 ),
    inference(avatar_split_clause,[],[f8384,f5891,f482,f11366]) ).

fof(f11366,plain,
    ( spl8_406
  <=> ! [X0] :
        ( member(sK1,X0)
        | ~ subclass(universal_class,X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_406])]) ).

fof(f5891,plain,
    ( spl8_289
  <=> member(sK1,universal_class) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_289])]) ).

fof(f8384,plain,
    ( ! [X0] :
        ( member(sK1,X0)
        | ~ subclass(universal_class,X0) )
    | ~ spl8_44
    | ~ spl8_289 ),
    inference(resolution,[],[f5892,f483]) ).

fof(f5892,plain,
    ( member(sK1,universal_class)
    | ~ spl8_289 ),
    inference(avatar_component_clause,[],[f5891]) ).

fof(f11364,plain,
    ( spl8_405
    | ~ spl8_5
    | ~ spl8_177 ),
    inference(avatar_split_clause,[],[f2319,f2260,f289,f11362]) ).

fof(f11362,plain,
    ( spl8_405
  <=> ! [X0] :
        ( member(sK2(union(null_class,X0)),X0)
        | null_class = union(null_class,X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_405])]) ).

fof(f289,plain,
    ( spl8_5
  <=> ! [X0] : ~ member(X0,null_class) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_5])]) ).

fof(f2319,plain,
    ( ! [X0] :
        ( member(sK2(union(null_class,X0)),X0)
        | null_class = union(null_class,X0) )
    | ~ spl8_5
    | ~ spl8_177 ),
    inference(resolution,[],[f2261,f290]) ).

fof(f290,plain,
    ( ! [X0] : ~ member(X0,null_class)
    | ~ spl8_5 ),
    inference(avatar_component_clause,[],[f289]) ).

fof(f11360,plain,
    ( spl8_404
    | ~ spl8_5
    | ~ spl8_177 ),
    inference(avatar_split_clause,[],[f2288,f2260,f289,f11358]) ).

fof(f11358,plain,
    ( spl8_404
  <=> ! [X0] :
        ( member(sK2(union(X0,null_class)),X0)
        | null_class = union(X0,null_class) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_404])]) ).

fof(f2288,plain,
    ( ! [X0] :
        ( member(sK2(union(X0,null_class)),X0)
        | null_class = union(X0,null_class) )
    | ~ spl8_5
    | ~ spl8_177 ),
    inference(resolution,[],[f2261,f290]) ).

fof(f11356,plain,
    ( spl8_403
    | ~ spl8_7
    | ~ spl8_167 ),
    inference(avatar_split_clause,[],[f2060,f1982,f297,f11354]) ).

fof(f11354,plain,
    ( spl8_403
  <=> ! [X0,X1] :
        ( ~ member(X0,sK7)
        | ~ subclass(sK7,X1)
        | member(X0,sum_class(power_class(X1))) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_403])]) ).

fof(f297,plain,
    ( spl8_7
  <=> member(sK7,universal_class) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_7])]) ).

fof(f1982,plain,
    ( spl8_167
  <=> ! [X2,X0,X1] :
        ( member(X0,sum_class(power_class(X1)))
        | ~ member(X0,X2)
        | ~ subclass(X2,X1)
        | ~ member(X2,universal_class) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_167])]) ).

fof(f2060,plain,
    ( ! [X0,X1] :
        ( ~ member(X0,sK7)
        | ~ subclass(sK7,X1)
        | member(X0,sum_class(power_class(X1))) )
    | ~ spl8_7
    | ~ spl8_167 ),
    inference(resolution,[],[f1983,f299]) ).

fof(f299,plain,
    ( member(sK7,universal_class)
    | ~ spl8_7 ),
    inference(avatar_component_clause,[],[f297]) ).

fof(f1983,plain,
    ( ! [X2,X0,X1] :
        ( ~ member(X2,universal_class)
        | ~ member(X0,X2)
        | ~ subclass(X2,X1)
        | member(X0,sum_class(power_class(X1))) )
    | ~ spl8_167 ),
    inference(avatar_component_clause,[],[f1982]) ).

fof(f11352,plain,
    ( spl8_402
    | ~ spl8_7
    | ~ spl8_166 ),
    inference(avatar_split_clause,[],[f2024,f1978,f297,f11350]) ).

fof(f11350,plain,
    ( spl8_402
  <=> ! [X0,X1] :
        ( ~ member(X0,sK7)
        | member(sK7,X1)
        | member(X0,sum_class(complement(X1))) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_402])]) ).

fof(f1978,plain,
    ( spl8_166
  <=> ! [X2,X0,X1] :
        ( member(X0,sum_class(complement(X1)))
        | ~ member(X0,X2)
        | member(X2,X1)
        | ~ member(X2,universal_class) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_166])]) ).

fof(f2024,plain,
    ( ! [X0,X1] :
        ( ~ member(X0,sK7)
        | member(sK7,X1)
        | member(X0,sum_class(complement(X1))) )
    | ~ spl8_7
    | ~ spl8_166 ),
    inference(resolution,[],[f1979,f299]) ).

fof(f1979,plain,
    ( ! [X2,X0,X1] :
        ( ~ member(X2,universal_class)
        | ~ member(X0,X2)
        | member(X2,X1)
        | member(X0,sum_class(complement(X1))) )
    | ~ spl8_166 ),
    inference(avatar_component_clause,[],[f1978]) ).

fof(f11348,plain,
    ( spl8_401
    | ~ spl8_11
    | ~ spl8_155 ),
    inference(avatar_split_clause,[],[f1823,f1544,f316,f11346]) ).

fof(f11346,plain,
    ( spl8_401
  <=> ! [X0,X1] :
        ( member(null_class,sum_class(X0))
        | subclass(X0,X1)
        | ~ inductive(sK4(X0,X1)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_401])]) ).

fof(f316,plain,
    ( spl8_11
  <=> ! [X0] :
        ( member(null_class,X0)
        | ~ inductive(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_11])]) ).

fof(f1544,plain,
    ( spl8_155
  <=> ! [X2,X0,X1] :
        ( member(X0,sum_class(X1))
        | ~ member(X0,sK4(X1,X2))
        | subclass(X1,X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_155])]) ).

fof(f1823,plain,
    ( ! [X0,X1] :
        ( member(null_class,sum_class(X0))
        | subclass(X0,X1)
        | ~ inductive(sK4(X0,X1)) )
    | ~ spl8_11
    | ~ spl8_155 ),
    inference(resolution,[],[f1545,f317]) ).

fof(f317,plain,
    ( ! [X0] :
        ( member(null_class,X0)
        | ~ inductive(X0) )
    | ~ spl8_11 ),
    inference(avatar_component_clause,[],[f316]) ).

fof(f1545,plain,
    ( ! [X2,X0,X1] :
        ( ~ member(X0,sK4(X1,X2))
        | member(X0,sum_class(X1))
        | subclass(X1,X2) )
    | ~ spl8_155 ),
    inference(avatar_component_clause,[],[f1544]) ).

fof(f11343,plain,
    ( spl8_400
    | ~ spl8_12
    | ~ spl8_154 ),
    inference(avatar_split_clause,[],[f1785,f1540,f320,f11341]) ).

fof(f11341,plain,
    ( spl8_400
  <=> ! [X0,X3,X2,X1] :
        ( ~ member(X0,unordered_pair(X1,X2))
        | member(X0,sum_class(union(universal_class,X3))) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_400])]) ).

fof(f320,plain,
    ( spl8_12
  <=> ! [X0,X1] : member(unordered_pair(X0,X1),universal_class) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_12])]) ).

fof(f1540,plain,
    ( spl8_154
  <=> ! [X0,X3,X2,X1] :
        ( member(X0,sum_class(union(X1,X2)))
        | ~ member(X0,X3)
        | ~ member(X3,X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_154])]) ).

fof(f1785,plain,
    ( ! [X2,X3,X0,X1] :
        ( ~ member(X0,unordered_pair(X1,X2))
        | member(X0,sum_class(union(universal_class,X3))) )
    | ~ spl8_12
    | ~ spl8_154 ),
    inference(resolution,[],[f1541,f321]) ).

fof(f321,plain,
    ( ! [X0,X1] : member(unordered_pair(X0,X1),universal_class)
    | ~ spl8_12 ),
    inference(avatar_component_clause,[],[f320]) ).

fof(f1541,plain,
    ( ! [X2,X3,X0,X1] :
        ( ~ member(X3,X1)
        | ~ member(X0,X3)
        | member(X0,sum_class(union(X1,X2))) )
    | ~ spl8_154 ),
    inference(avatar_component_clause,[],[f1540]) ).

fof(f11338,plain,
    ( spl8_399
    | ~ spl8_12
    | ~ spl8_153 ),
    inference(avatar_split_clause,[],[f1733,f1536,f320,f11336]) ).

fof(f11336,plain,
    ( spl8_399
  <=> ! [X0,X3,X2,X1] :
        ( ~ member(X0,unordered_pair(X1,X2))
        | member(X0,sum_class(union(X3,universal_class))) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_399])]) ).

fof(f1536,plain,
    ( spl8_153
  <=> ! [X0,X3,X2,X1] :
        ( member(X0,sum_class(union(X1,X2)))
        | ~ member(X0,X3)
        | ~ member(X3,X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_153])]) ).

fof(f1733,plain,
    ( ! [X2,X3,X0,X1] :
        ( ~ member(X0,unordered_pair(X1,X2))
        | member(X0,sum_class(union(X3,universal_class))) )
    | ~ spl8_12
    | ~ spl8_153 ),
    inference(resolution,[],[f1537,f321]) ).

fof(f1537,plain,
    ( ! [X2,X3,X0,X1] :
        ( ~ member(X3,X2)
        | ~ member(X0,X3)
        | member(X0,sum_class(union(X1,X2))) )
    | ~ spl8_153 ),
    inference(avatar_component_clause,[],[f1536]) ).

fof(f11334,plain,
    ( spl8_398
    | ~ spl8_26
    | ~ spl8_120 ),
    inference(avatar_split_clause,[],[f1228,f1064,f378,f11332]) ).

fof(f11332,plain,
    ( spl8_398
  <=> ! [X0,X1] :
        ( ~ subclass(universal_class,power_class(X0))
        | ~ member(X1,identity_relation)
        | subclass(sK3(X1),X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_398])]) ).

fof(f378,plain,
    ( spl8_26
  <=> ! [X0,X1] :
        ( subclass(X0,X1)
        | ~ member(X0,power_class(X1)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_26])]) ).

fof(f1064,plain,
    ( spl8_120
  <=> ! [X0,X1] :
        ( member(sK3(X0),X1)
        | ~ subclass(universal_class,X1)
        | ~ member(X0,identity_relation) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_120])]) ).

fof(f1228,plain,
    ( ! [X0,X1] :
        ( ~ subclass(universal_class,power_class(X0))
        | ~ member(X1,identity_relation)
        | subclass(sK3(X1),X0) )
    | ~ spl8_26
    | ~ spl8_120 ),
    inference(resolution,[],[f1065,f379]) ).

fof(f379,plain,
    ( ! [X0,X1] :
        ( ~ member(X0,power_class(X1))
        | subclass(X0,X1) )
    | ~ spl8_26 ),
    inference(avatar_component_clause,[],[f378]) ).

fof(f1065,plain,
    ( ! [X0,X1] :
        ( member(sK3(X0),X1)
        | ~ subclass(universal_class,X1)
        | ~ member(X0,identity_relation) )
    | ~ spl8_120 ),
    inference(avatar_component_clause,[],[f1064]) ).

fof(f11330,plain,
    ( spl8_397
    | ~ spl8_24
    | ~ spl8_120 ),
    inference(avatar_split_clause,[],[f1221,f1064,f370,f11328]) ).

fof(f11328,plain,
    ( spl8_397
  <=> ! [X0,X1] :
        ( ~ subclass(universal_class,complement(X0))
        | ~ member(X1,identity_relation)
        | ~ member(sK3(X1),X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_397])]) ).

fof(f370,plain,
    ( spl8_24
  <=> ! [X0,X1] :
        ( ~ member(X1,X0)
        | ~ member(X1,complement(X0)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_24])]) ).

fof(f1221,plain,
    ( ! [X0,X1] :
        ( ~ subclass(universal_class,complement(X0))
        | ~ member(X1,identity_relation)
        | ~ member(sK3(X1),X0) )
    | ~ spl8_24
    | ~ spl8_120 ),
    inference(resolution,[],[f1065,f371]) ).

fof(f371,plain,
    ( ! [X0,X1] :
        ( ~ member(X1,complement(X0))
        | ~ member(X1,X0) )
    | ~ spl8_24 ),
    inference(avatar_component_clause,[],[f370]) ).

fof(f11326,plain,
    ( spl8_396
    | ~ spl8_26
    | ~ spl8_119 ),
    inference(avatar_split_clause,[],[f1205,f1060,f378,f11324]) ).

fof(f11324,plain,
    ( spl8_396
  <=> ! [X0,X1] :
        ( ~ subclass(X0,power_class(X1))
        | null_class = X0
        | subclass(sK2(X0),X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_396])]) ).

fof(f1060,plain,
    ( spl8_119
  <=> ! [X0,X1] :
        ( member(sK2(X0),X1)
        | ~ subclass(X0,X1)
        | null_class = X0 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_119])]) ).

fof(f1205,plain,
    ( ! [X0,X1] :
        ( ~ subclass(X0,power_class(X1))
        | null_class = X0
        | subclass(sK2(X0),X1) )
    | ~ spl8_26
    | ~ spl8_119 ),
    inference(resolution,[],[f1061,f379]) ).

fof(f1061,plain,
    ( ! [X0,X1] :
        ( member(sK2(X0),X1)
        | ~ subclass(X0,X1)
        | null_class = X0 )
    | ~ spl8_119 ),
    inference(avatar_component_clause,[],[f1060]) ).

fof(f11320,plain,
    ( spl8_395
    | ~ spl8_24
    | ~ spl8_119 ),
    inference(avatar_split_clause,[],[f1198,f1060,f370,f11318]) ).

fof(f11318,plain,
    ( spl8_395
  <=> ! [X0,X1] :
        ( ~ subclass(X0,complement(X1))
        | null_class = X0
        | ~ member(sK2(X0),X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_395])]) ).

fof(f1198,plain,
    ( ! [X0,X1] :
        ( ~ subclass(X0,complement(X1))
        | null_class = X0
        | ~ member(sK2(X0),X1) )
    | ~ spl8_24
    | ~ spl8_119 ),
    inference(resolution,[],[f1061,f371]) ).

fof(f11316,plain,
    ( spl8_394
    | ~ spl8_26
    | ~ spl8_118 ),
    inference(avatar_split_clause,[],[f1181,f1052,f378,f11314]) ).

fof(f11314,plain,
    ( spl8_394
  <=> ! [X0,X1] :
        ( ~ subclass(universal_class,power_class(X0))
        | null_class = X1
        | subclass(sK2(X1),X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_394])]) ).

fof(f1052,plain,
    ( spl8_118
  <=> ! [X0,X1] :
        ( member(sK2(X0),X1)
        | ~ subclass(universal_class,X1)
        | null_class = X0 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_118])]) ).

fof(f1181,plain,
    ( ! [X0,X1] :
        ( ~ subclass(universal_class,power_class(X0))
        | null_class = X1
        | subclass(sK2(X1),X0) )
    | ~ spl8_26
    | ~ spl8_118 ),
    inference(resolution,[],[f1053,f379]) ).

fof(f1053,plain,
    ( ! [X0,X1] :
        ( member(sK2(X0),X1)
        | ~ subclass(universal_class,X1)
        | null_class = X0 )
    | ~ spl8_118 ),
    inference(avatar_component_clause,[],[f1052]) ).

fof(f11312,plain,
    ( spl8_393
    | ~ spl8_24
    | ~ spl8_118 ),
    inference(avatar_split_clause,[],[f1174,f1052,f370,f11310]) ).

fof(f11310,plain,
    ( spl8_393
  <=> ! [X0,X1] :
        ( ~ subclass(universal_class,complement(X0))
        | null_class = X1
        | ~ member(sK2(X1),X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_393])]) ).

fof(f1174,plain,
    ( ! [X0,X1] :
        ( ~ subclass(universal_class,complement(X0))
        | null_class = X1
        | ~ member(sK2(X1),X0) )
    | ~ spl8_24
    | ~ spl8_118 ),
    inference(resolution,[],[f1053,f371]) ).

fof(f11308,plain,
    ( spl8_392
    | ~ spl8_26
    | ~ spl8_117 ),
    inference(avatar_split_clause,[],[f1158,f1048,f378,f11306]) ).

fof(f11306,plain,
    ( spl8_392
  <=> ! [X0,X1] :
        ( ~ subclass(universal_class,power_class(X0))
        | ~ member(X1,universal_class)
        | subclass(power_class(X1),X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_392])]) ).

fof(f1158,plain,
    ( ! [X0,X1] :
        ( ~ subclass(universal_class,power_class(X0))
        | ~ member(X1,universal_class)
        | subclass(power_class(X1),X0) )
    | ~ spl8_26
    | ~ spl8_117 ),
    inference(resolution,[],[f1049,f379]) ).

fof(f11304,plain,
    ( spl8_391
    | ~ spl8_24
    | ~ spl8_117 ),
    inference(avatar_split_clause,[],[f1151,f1048,f370,f11302]) ).

fof(f11302,plain,
    ( spl8_391
  <=> ! [X0,X1] :
        ( ~ subclass(universal_class,complement(X0))
        | ~ member(X1,universal_class)
        | ~ member(power_class(X1),X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_391])]) ).

fof(f1151,plain,
    ( ! [X0,X1] :
        ( ~ subclass(universal_class,complement(X0))
        | ~ member(X1,universal_class)
        | ~ member(power_class(X1),X0) )
    | ~ spl8_24
    | ~ spl8_117 ),
    inference(resolution,[],[f1049,f371]) ).

fof(f11300,plain,
    ( spl8_390
    | ~ spl8_26
    | ~ spl8_116 ),
    inference(avatar_split_clause,[],[f1136,f1044,f378,f11298]) ).

fof(f11298,plain,
    ( spl8_390
  <=> ! [X0,X1] :
        ( ~ subclass(universal_class,power_class(X0))
        | ~ member(X1,universal_class)
        | subclass(sum_class(X1),X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_390])]) ).

fof(f1136,plain,
    ( ! [X0,X1] :
        ( ~ subclass(universal_class,power_class(X0))
        | ~ member(X1,universal_class)
        | subclass(sum_class(X1),X0) )
    | ~ spl8_26
    | ~ spl8_116 ),
    inference(resolution,[],[f1045,f379]) ).

fof(f11296,plain,
    ( spl8_389
    | ~ spl8_24
    | ~ spl8_116 ),
    inference(avatar_split_clause,[],[f1129,f1044,f370,f11294]) ).

fof(f11294,plain,
    ( spl8_389
  <=> ! [X0,X1] :
        ( ~ subclass(universal_class,complement(X0))
        | ~ member(X1,universal_class)
        | ~ member(sum_class(X1),X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_389])]) ).

fof(f1129,plain,
    ( ! [X0,X1] :
        ( ~ subclass(universal_class,complement(X0))
        | ~ member(X1,universal_class)
        | ~ member(sum_class(X1),X0) )
    | ~ spl8_24
    | ~ spl8_116 ),
    inference(resolution,[],[f1045,f371]) ).

fof(f11289,plain,
    ( spl8_387
    | spl8_388
    | ~ spl8_100
    | ~ spl8_104 ),
    inference(avatar_split_clause,[],[f991,f973,f905,f11287,f11284]) ).

fof(f11284,plain,
    ( spl8_387
  <=> ! [X2,X3] : ~ subclass(universal_class,unordered_pair(X2,X3)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_387])]) ).

fof(f11287,plain,
    ( spl8_388
  <=> ! [X0,X1] : member(unordered_pair(X0,X1),sum_class(universal_class)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_388])]) ).

fof(f991,plain,
    ( ! [X2,X3,X0,X1] :
        ( member(unordered_pair(X0,X1),sum_class(universal_class))
        | ~ subclass(universal_class,unordered_pair(X2,X3)) )
    | ~ spl8_100
    | ~ spl8_104 ),
    inference(resolution,[],[f974,f906]) ).

fof(f11282,plain,
    ( spl8_386
    | ~ spl8_101
    | ~ spl8_103 ),
    inference(avatar_split_clause,[],[f986,f969,f909,f11280]) ).

fof(f11280,plain,
    ( spl8_386
  <=> ! [X0] :
        ( null_class = power_class(X0)
        | member(null_class,X0)
        | ~ inductive(sK2(power_class(X0))) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_386])]) ).

fof(f969,plain,
    ( spl8_103
  <=> ! [X0] :
        ( subclass(sK2(power_class(X0)),X0)
        | null_class = power_class(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_103])]) ).

fof(f986,plain,
    ( ! [X0] :
        ( null_class = power_class(X0)
        | member(null_class,X0)
        | ~ inductive(sK2(power_class(X0))) )
    | ~ spl8_101
    | ~ spl8_103 ),
    inference(resolution,[],[f970,f910]) ).

fof(f970,plain,
    ( ! [X0] :
        ( subclass(sK2(power_class(X0)),X0)
        | null_class = power_class(X0) )
    | ~ spl8_103 ),
    inference(avatar_component_clause,[],[f969]) ).

fof(f11274,plain,
    ( ~ spl8_384
    | spl8_385
    | ~ spl8_98
    | ~ spl8_102 ),
    inference(avatar_split_clause,[],[f983,f965,f894,f11271,f11267]) ).

fof(f11267,plain,
    ( spl8_384
  <=> member(sK2(complement(sum_class(universal_class))),sK7) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_384])]) ).

fof(f11271,plain,
    ( spl8_385
  <=> null_class = complement(sum_class(universal_class)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_385])]) ).

fof(f965,plain,
    ( spl8_102
  <=> ! [X0] :
        ( ~ member(sK2(complement(X0)),X0)
        | complement(X0) = null_class ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_102])]) ).

fof(f983,plain,
    ( null_class = complement(sum_class(universal_class))
    | ~ member(sK2(complement(sum_class(universal_class))),sK7)
    | ~ spl8_98
    | ~ spl8_102 ),
    inference(resolution,[],[f966,f895]) ).

fof(f966,plain,
    ( ! [X0] :
        ( ~ member(sK2(complement(X0)),X0)
        | complement(X0) = null_class )
    | ~ spl8_102 ),
    inference(avatar_component_clause,[],[f965]) ).

fof(f11265,plain,
    ( spl8_383
    | ~ spl8_44
    | ~ spl8_100 ),
    inference(avatar_split_clause,[],[f933,f905,f482,f11263]) ).

fof(f11263,plain,
    ( spl8_383
  <=> ! [X0,X3,X2,X1] :
        ( ~ subclass(universal_class,X0)
        | member(unordered_pair(X1,X2),X3)
        | ~ subclass(X0,X3) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_383])]) ).

fof(f933,plain,
    ( ! [X2,X3,X0,X1] :
        ( ~ subclass(universal_class,X0)
        | member(unordered_pair(X1,X2),X3)
        | ~ subclass(X0,X3) )
    | ~ spl8_44
    | ~ spl8_100 ),
    inference(resolution,[],[f906,f483]) ).

fof(f11261,plain,
    ( spl8_382
    | ~ spl8_50
    | ~ spl8_98 ),
    inference(avatar_split_clause,[],[f897,f894,f542,f11259]) ).

fof(f11259,plain,
    ( spl8_382
  <=> ! [X0,X1] :
        ( ~ member(X0,sK7)
        | member(X1,sum_class(sum_class(universal_class)))
        | ~ member(X1,X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_382])]) ).

fof(f897,plain,
    ( ! [X0,X1] :
        ( ~ member(X0,sK7)
        | member(X1,sum_class(sum_class(universal_class)))
        | ~ member(X1,X0) )
    | ~ spl8_50
    | ~ spl8_98 ),
    inference(resolution,[],[f895,f543]) ).

fof(f11133,plain,
    ( spl8_381
    | ~ spl8_32
    | ~ spl8_176 ),
    inference(avatar_split_clause,[],[f2255,f2221,f413,f11131]) ).

fof(f11131,plain,
    ( spl8_381
  <=> ! [X0] :
        ( ~ subclass(sK4(universal_class,power_class(X0)),X0)
        | subclass(universal_class,power_class(X0)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_381])]) ).

fof(f413,plain,
    ( spl8_32
  <=> ! [X0,X1] :
        ( subclass(X0,X1)
        | member(sK4(X0,X1),X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_32])]) ).

fof(f2221,plain,
    ( spl8_176
  <=> ! [X0,X1] :
        ( ~ subclass(sK4(X0,power_class(X1)),X1)
        | ~ member(sK4(X0,power_class(X1)),universal_class)
        | subclass(X0,power_class(X1)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_176])]) ).

fof(f2255,plain,
    ( ! [X0] :
        ( ~ subclass(sK4(universal_class,power_class(X0)),X0)
        | subclass(universal_class,power_class(X0)) )
    | ~ spl8_32
    | ~ spl8_176 ),
    inference(duplicate_literal_removal,[],[f2246]) ).

fof(f2246,plain,
    ( ! [X0] :
        ( ~ subclass(sK4(universal_class,power_class(X0)),X0)
        | subclass(universal_class,power_class(X0))
        | subclass(universal_class,power_class(X0)) )
    | ~ spl8_32
    | ~ spl8_176 ),
    inference(resolution,[],[f2222,f414]) ).

fof(f414,plain,
    ( ! [X0,X1] :
        ( member(sK4(X0,X1),X0)
        | subclass(X0,X1) )
    | ~ spl8_32 ),
    inference(avatar_component_clause,[],[f413]) ).

fof(f2222,plain,
    ( ! [X0,X1] :
        ( ~ member(sK4(X0,power_class(X1)),universal_class)
        | ~ subclass(sK4(X0,power_class(X1)),X1)
        | subclass(X0,power_class(X1)) )
    | ~ spl8_176 ),
    inference(avatar_component_clause,[],[f2221]) ).

fof(f11129,plain,
    ( spl8_380
    | ~ spl8_32
    | ~ spl8_175 ),
    inference(avatar_split_clause,[],[f2239,f2217,f413,f11127]) ).

fof(f11127,plain,
    ( spl8_380
  <=> ! [X0] :
        ( member(sK4(universal_class,complement(X0)),X0)
        | subclass(universal_class,complement(X0)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_380])]) ).

fof(f2217,plain,
    ( spl8_175
  <=> ! [X0,X1] :
        ( member(sK4(X0,complement(X1)),X1)
        | ~ member(sK4(X0,complement(X1)),universal_class)
        | subclass(X0,complement(X1)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_175])]) ).

fof(f2239,plain,
    ( ! [X0] :
        ( member(sK4(universal_class,complement(X0)),X0)
        | subclass(universal_class,complement(X0)) )
    | ~ spl8_32
    | ~ spl8_175 ),
    inference(duplicate_literal_removal,[],[f2230]) ).

fof(f2230,plain,
    ( ! [X0] :
        ( member(sK4(universal_class,complement(X0)),X0)
        | subclass(universal_class,complement(X0))
        | subclass(universal_class,complement(X0)) )
    | ~ spl8_32
    | ~ spl8_175 ),
    inference(resolution,[],[f2218,f414]) ).

fof(f2218,plain,
    ( ! [X0,X1] :
        ( ~ member(sK4(X0,complement(X1)),universal_class)
        | member(sK4(X0,complement(X1)),X1)
        | subclass(X0,complement(X1)) )
    | ~ spl8_175 ),
    inference(avatar_component_clause,[],[f2217]) ).

fof(f11125,plain,
    ( spl8_379
    | ~ spl8_11
    | ~ spl8_140 ),
    inference(avatar_split_clause,[],[f1461,f1298,f316,f11123]) ).

fof(f1298,plain,
    ( spl8_140
  <=> ! [X0,X1] :
        ( member(X0,sum_class(X1))
        | ~ member(X0,sK2(X1))
        | null_class = X1 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_140])]) ).

fof(f1461,plain,
    ( ! [X0] :
        ( member(null_class,sum_class(X0))
        | null_class = X0
        | ~ inductive(sK2(X0)) )
    | ~ spl8_11
    | ~ spl8_140 ),
    inference(resolution,[],[f1299,f317]) ).

fof(f1299,plain,
    ( ! [X0,X1] :
        ( ~ member(X0,sK2(X1))
        | member(X0,sum_class(X1))
        | null_class = X1 )
    | ~ spl8_140 ),
    inference(avatar_component_clause,[],[f1298]) ).

fof(f11108,plain,
    ( spl8_378
    | spl8_339
    | ~ spl8_11
    | ~ spl8_136 ),
    inference(avatar_split_clause,[],[f1418,f1282,f316,f6996,f11106]) ).

fof(f11106,plain,
    ( spl8_378
  <=> ! [X0] :
        ( ~ member(X0,universal_class)
        | ~ inductive(sum_class(X0)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_378])]) ).

fof(f6996,plain,
    ( spl8_339
  <=> member(null_class,sum_class(universal_class)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_339])]) ).

fof(f1282,plain,
    ( spl8_136
  <=> ! [X0,X1] :
        ( member(X0,sum_class(universal_class))
        | ~ member(X0,sum_class(X1))
        | ~ member(X1,universal_class) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_136])]) ).

fof(f1418,plain,
    ( ! [X0] :
        ( member(null_class,sum_class(universal_class))
        | ~ member(X0,universal_class)
        | ~ inductive(sum_class(X0)) )
    | ~ spl8_11
    | ~ spl8_136 ),
    inference(resolution,[],[f1283,f317]) ).

fof(f1283,plain,
    ( ! [X0,X1] :
        ( ~ member(X0,sum_class(X1))
        | member(X0,sum_class(universal_class))
        | ~ member(X1,universal_class) )
    | ~ spl8_136 ),
    inference(avatar_component_clause,[],[f1282]) ).

fof(f11094,plain,
    ( spl8_377
    | spl8_375
    | ~ spl8_29
    | ~ spl8_101 ),
    inference(avatar_split_clause,[],[f959,f909,f401,f11081,f11092]) ).

fof(f11092,plain,
    ( spl8_377
  <=> ! [X0] : ~ inductive(flip(X0)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_377])]) ).

fof(f11081,plain,
    ( spl8_375
  <=> member(null_class,cross_product(cross_product(universal_class,universal_class),universal_class)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_375])]) ).

fof(f401,plain,
    ( spl8_29
  <=> ! [X0] : subclass(flip(X0),cross_product(cross_product(universal_class,universal_class),universal_class)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_29])]) ).

fof(f959,plain,
    ( ! [X0] :
        ( member(null_class,cross_product(cross_product(universal_class,universal_class),universal_class))
        | ~ inductive(flip(X0)) )
    | ~ spl8_29
    | ~ spl8_101 ),
    inference(resolution,[],[f910,f402]) ).

fof(f402,plain,
    ( ! [X0] : subclass(flip(X0),cross_product(cross_product(universal_class,universal_class),universal_class))
    | ~ spl8_29 ),
    inference(avatar_component_clause,[],[f401]) ).

fof(f11089,plain,
    ( ~ spl8_376
    | spl8_2
    | ~ spl8_347 ),
    inference(avatar_split_clause,[],[f11010,f7120,f274,f11086]) ).

fof(f11086,plain,
    ( spl8_376
  <=> subclass(universal_class,power_class(sK1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_376])]) ).

fof(f7120,plain,
    ( spl8_347
  <=> ! [X2,X0,X1] :
        ( ~ subclass(universal_class,power_class(X0))
        | subclass(unordered_pair(X1,X2),X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_347])]) ).

fof(f11010,plain,
    ( ~ subclass(universal_class,power_class(sK1))
    | spl8_2
    | ~ spl8_347 ),
    inference(resolution,[],[f7121,f276]) ).

fof(f276,plain,
    ( ~ subclass(unordered_pair(sK0,sK0),sK1)
    | spl8_2 ),
    inference(avatar_component_clause,[],[f274]) ).

fof(f7121,plain,
    ( ! [X2,X0,X1] :
        ( subclass(unordered_pair(X1,X2),X0)
        | ~ subclass(universal_class,power_class(X0)) )
    | ~ spl8_347 ),
    inference(avatar_component_clause,[],[f7120]) ).

fof(f11084,plain,
    ( spl8_374
    | spl8_375
    | ~ spl8_28
    | ~ spl8_101 ),
    inference(avatar_split_clause,[],[f958,f909,f397,f11081,f11078]) ).

fof(f11078,plain,
    ( spl8_374
  <=> ! [X0] : ~ inductive(rotate(X0)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_374])]) ).

fof(f397,plain,
    ( spl8_28
  <=> ! [X0] : subclass(rotate(X0),cross_product(cross_product(universal_class,universal_class),universal_class)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_28])]) ).

fof(f958,plain,
    ( ! [X0] :
        ( member(null_class,cross_product(cross_product(universal_class,universal_class),universal_class))
        | ~ inductive(rotate(X0)) )
    | ~ spl8_28
    | ~ spl8_101 ),
    inference(resolution,[],[f910,f398]) ).

fof(f398,plain,
    ( ! [X0] : subclass(rotate(X0),cross_product(cross_product(universal_class,universal_class),universal_class))
    | ~ spl8_28 ),
    inference(avatar_component_clause,[],[f397]) ).

fof(f11076,plain,
    ( spl8_373
    | ~ spl8_34
    | ~ spl8_100 ),
    inference(avatar_split_clause,[],[f940,f905,f421,f11074]) ).

fof(f11074,plain,
    ( spl8_373
  <=> ! [X2,X0,X1,X3] :
        ( ~ subclass(universal_class,intersection(X0,X1))
        | member(unordered_pair(X2,X3),X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_373])]) ).

fof(f940,plain,
    ( ! [X2,X3,X0,X1] :
        ( ~ subclass(universal_class,intersection(X0,X1))
        | member(unordered_pair(X2,X3),X0) )
    | ~ spl8_34
    | ~ spl8_100 ),
    inference(resolution,[],[f906,f422]) ).

fof(f11072,plain,
    ( spl8_372
    | ~ spl8_35
    | ~ spl8_100 ),
    inference(avatar_split_clause,[],[f939,f905,f425,f11070]) ).

fof(f11070,plain,
    ( spl8_372
  <=> ! [X2,X0,X1,X3] :
        ( ~ subclass(universal_class,intersection(X0,X1))
        | member(unordered_pair(X2,X3),X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_372])]) ).

fof(f939,plain,
    ( ! [X2,X3,X0,X1] :
        ( ~ subclass(universal_class,intersection(X0,X1))
        | member(unordered_pair(X2,X3),X1) )
    | ~ spl8_35
    | ~ spl8_100 ),
    inference(resolution,[],[f906,f426]) ).

fof(f11068,plain,
    ( spl8_371
    | ~ spl8_33
    | ~ spl8_98 ),
    inference(avatar_split_clause,[],[f899,f894,f417,f11066]) ).

fof(f11066,plain,
    ( spl8_371
  <=> ! [X0] :
        ( ~ member(sK4(X0,sum_class(universal_class)),sK7)
        | subclass(X0,sum_class(universal_class)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_371])]) ).

fof(f899,plain,
    ( ! [X0] :
        ( ~ member(sK4(X0,sum_class(universal_class)),sK7)
        | subclass(X0,sum_class(universal_class)) )
    | ~ spl8_33
    | ~ spl8_98 ),
    inference(resolution,[],[f895,f418]) ).

fof(f11064,plain,
    ( spl8_370
    | ~ spl8_44
    | ~ spl8_98 ),
    inference(avatar_split_clause,[],[f898,f894,f482,f11062]) ).

fof(f11062,plain,
    ( spl8_370
  <=> ! [X0,X1] :
        ( ~ member(X0,sK7)
        | member(X0,X1)
        | ~ subclass(sum_class(universal_class),X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_370])]) ).

fof(f898,plain,
    ( ! [X0,X1] :
        ( ~ member(X0,sK7)
        | member(X0,X1)
        | ~ subclass(sum_class(universal_class),X1) )
    | ~ spl8_44
    | ~ spl8_98 ),
    inference(resolution,[],[f895,f483]) ).

fof(f10960,plain,
    ( spl8_362
    | ~ spl8_369
    | ~ spl8_59
    | ~ spl8_223 ),
    inference(avatar_split_clause,[],[f5727,f3696,f626,f10957,f7210]) ).

fof(f10957,plain,
    ( spl8_369
  <=> member(sK2(identity_relation),successor_relation) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_369])]) ).

fof(f626,plain,
    ( spl8_59
  <=> ! [X0,X1] :
        ( member(X1,universal_class)
        | ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),successor_relation) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_59])]) ).

fof(f5727,plain,
    ( ~ member(sK2(identity_relation),successor_relation)
    | member(sK3(sK2(identity_relation)),universal_class)
    | ~ spl8_59
    | ~ spl8_223 ),
    inference(superposition,[],[f627,f3698]) ).

fof(f627,plain,
    ( ! [X0,X1] :
        ( ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),successor_relation)
        | member(X1,universal_class) )
    | ~ spl8_59 ),
    inference(avatar_component_clause,[],[f626]) ).

fof(f10953,plain,
    ( spl8_362
    | ~ spl8_368
    | ~ spl8_58
    | ~ spl8_223 ),
    inference(avatar_split_clause,[],[f4011,f3696,f622,f10950,f7210]) ).

fof(f10950,plain,
    ( spl8_368
  <=> member(sK2(identity_relation),element_relation) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_368])]) ).

fof(f622,plain,
    ( spl8_58
  <=> ! [X0,X1] :
        ( member(X1,universal_class)
        | ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),element_relation) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_58])]) ).

fof(f4011,plain,
    ( ~ member(sK2(identity_relation),element_relation)
    | member(sK3(sK2(identity_relation)),universal_class)
    | ~ spl8_58
    | ~ spl8_223 ),
    inference(superposition,[],[f623,f3698]) ).

fof(f623,plain,
    ( ! [X0,X1] :
        ( ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),element_relation)
        | member(X1,universal_class) )
    | ~ spl8_58 ),
    inference(avatar_component_clause,[],[f622]) ).

fof(f10923,plain,
    ( spl8_98
    | ~ spl8_94
    | ~ spl8_294
    | ~ spl8_355 ),
    inference(avatar_split_clause,[],[f7183,f7180,f5931,f872,f894]) ).

fof(f872,plain,
    ( spl8_94
  <=> ! [X0] :
        ( universal_class = X0
        | ~ subclass(universal_class,X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_94])]) ).

fof(f5931,plain,
    ( spl8_294
  <=> ! [X0,X1] : subclass(X0,union(X0,X1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_294])]) ).

fof(f7180,plain,
    ( spl8_355
  <=> ! [X0,X1] :
        ( ~ member(X0,sK7)
        | member(X0,sum_class(union(universal_class,X1))) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_355])]) ).

fof(f7183,plain,
    ( ! [X0] :
        ( member(X0,sum_class(universal_class))
        | ~ member(X0,sK7) )
    | ~ spl8_94
    | ~ spl8_294
    | ~ spl8_355 ),
    inference(forward_demodulation,[],[f7181,f6011]) ).

fof(f6011,plain,
    ( ! [X0] : universal_class = union(universal_class,X0)
    | ~ spl8_94
    | ~ spl8_294 ),
    inference(resolution,[],[f5932,f873]) ).

fof(f873,plain,
    ( ! [X0] :
        ( ~ subclass(universal_class,X0)
        | universal_class = X0 )
    | ~ spl8_94 ),
    inference(avatar_component_clause,[],[f872]) ).

fof(f5932,plain,
    ( ! [X0,X1] : subclass(X0,union(X0,X1))
    | ~ spl8_294 ),
    inference(avatar_component_clause,[],[f5931]) ).

fof(f7181,plain,
    ( ! [X0,X1] :
        ( ~ member(X0,sK7)
        | member(X0,sum_class(union(universal_class,X1))) )
    | ~ spl8_355 ),
    inference(avatar_component_clause,[],[f7180]) ).

fof(f10897,plain,
    ( spl8_367
    | ~ spl8_44
    | ~ spl8_263 ),
    inference(avatar_split_clause,[],[f8395,f5143,f482,f10895]) ).

fof(f10895,plain,
    ( spl8_367
  <=> ! [X0] :
        ( member(identity_relation,X0)
        | ~ subclass(universal_class,X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_367])]) ).

fof(f5143,plain,
    ( spl8_263
  <=> member(identity_relation,universal_class) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_263])]) ).

fof(f8395,plain,
    ( ! [X0] :
        ( member(identity_relation,X0)
        | ~ subclass(universal_class,X0) )
    | ~ spl8_44
    | ~ spl8_263 ),
    inference(resolution,[],[f5144,f483]) ).

fof(f5144,plain,
    ( member(identity_relation,universal_class)
    | ~ spl8_263 ),
    inference(avatar_component_clause,[],[f5143]) ).

fof(f10599,plain,
    ( ~ spl8_4
    | ~ spl8_301 ),
    inference(avatar_contradiction_clause,[],[f10598]) ).

fof(f10598,plain,
    ( $false
    | ~ spl8_4
    | ~ spl8_301 ),
    inference(resolution,[],[f6082,f286]) ).

fof(f286,plain,
    ( inductive(sK7)
    | ~ spl8_4 ),
    inference(avatar_component_clause,[],[f284]) ).

fof(f284,plain,
    ( spl8_4
  <=> inductive(sK7) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_4])]) ).

fof(f6082,plain,
    ( ! [X0] : ~ inductive(X0)
    | ~ spl8_301 ),
    inference(avatar_component_clause,[],[f6081]) ).

fof(f6081,plain,
    ( spl8_301
  <=> ! [X0] : ~ inductive(X0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_301])]) ).

fof(f10553,plain,
    ( spl8_22
    | ~ spl8_90
    | ~ spl8_247 ),
    inference(avatar_split_clause,[],[f10312,f4616,f854,f361]) ).

fof(f361,plain,
    ( spl8_22
  <=> inductive(null_class) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_22])]) ).

fof(f854,plain,
    ( spl8_90
  <=> inductive(universal_class) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_90])]) ).

fof(f4616,plain,
    ( spl8_247
  <=> universal_class = null_class ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_247])]) ).

fof(f10312,plain,
    ( inductive(null_class)
    | ~ spl8_90
    | ~ spl8_247 ),
    inference(superposition,[],[f856,f4618]) ).

fof(f4618,plain,
    ( universal_class = null_class
    | ~ spl8_247 ),
    inference(avatar_component_clause,[],[f4616]) ).

fof(f856,plain,
    ( inductive(universal_class)
    | ~ spl8_90 ),
    inference(avatar_component_clause,[],[f854]) ).

fof(f10390,plain,
    ( ~ spl8_366
    | spl8_123
    | ~ spl8_247 ),
    inference(avatar_split_clause,[],[f10320,f4616,f1115,f10387]) ).

fof(f1115,plain,
    ( spl8_123
  <=> function(universal_class) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_123])]) ).

fof(f10320,plain,
    ( ~ function(null_class)
    | spl8_123
    | ~ spl8_247 ),
    inference(superposition,[],[f1117,f4618]) ).

fof(f1117,plain,
    ( ~ function(universal_class)
    | spl8_123 ),
    inference(avatar_component_clause,[],[f1115]) ).

fof(f10284,plain,
    ( spl8_365
    | ~ spl8_246
    | spl8_247
    | ~ spl8_72
    | ~ spl8_78 ),
    inference(avatar_split_clause,[],[f771,f760,f698,f4616,f4612,f10282]) ).

fof(f10282,plain,
    ( spl8_365
  <=> ! [X0] :
        ( sum_class(domain_of(domain_of(flip(cross_product(intersection(sK6,cross_product(unordered_pair(universal_class,universal_class),universal_class)),universal_class))))) = second(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(sum_class(domain_of(domain_of(flip(cross_product(intersection(sK6,cross_product(unordered_pair(universal_class,universal_class),universal_class)),universal_class))))),sum_class(domain_of(domain_of(flip(cross_product(intersection(sK6,cross_product(unordered_pair(universal_class,universal_class),universal_class)),universal_class)))))))))
        | ~ member(X0,universal_class) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_365])]) ).

fof(f4612,plain,
    ( spl8_246
  <=> member(universal_class,universal_class) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_246])]) ).

fof(f698,plain,
    ( spl8_72
  <=> ! [X0,X1] :
        ( second(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1)))) = X1
        | ~ member(X1,universal_class)
        | ~ member(X0,universal_class) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_72])]) ).

fof(f760,plain,
    ( spl8_78
  <=> ! [X1] :
        ( member(sum_class(domain_of(domain_of(flip(cross_product(intersection(sK6,cross_product(unordered_pair(X1,X1),universal_class)),universal_class))))),X1)
        | null_class = X1
        | ~ member(X1,universal_class) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_78])]) ).

fof(f771,plain,
    ( ! [X0] :
        ( universal_class = null_class
        | ~ member(universal_class,universal_class)
        | sum_class(domain_of(domain_of(flip(cross_product(intersection(sK6,cross_product(unordered_pair(universal_class,universal_class),universal_class)),universal_class))))) = second(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(sum_class(domain_of(domain_of(flip(cross_product(intersection(sK6,cross_product(unordered_pair(universal_class,universal_class),universal_class)),universal_class))))),sum_class(domain_of(domain_of(flip(cross_product(intersection(sK6,cross_product(unordered_pair(universal_class,universal_class),universal_class)),universal_class)))))))))
        | ~ member(X0,universal_class) )
    | ~ spl8_72
    | ~ spl8_78 ),
    inference(resolution,[],[f761,f699]) ).

fof(f699,plain,
    ( ! [X0,X1] :
        ( ~ member(X1,universal_class)
        | second(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1)))) = X1
        | ~ member(X0,universal_class) )
    | ~ spl8_72 ),
    inference(avatar_component_clause,[],[f698]) ).

fof(f761,plain,
    ( ! [X1] :
        ( member(sum_class(domain_of(domain_of(flip(cross_product(intersection(sK6,cross_product(unordered_pair(X1,X1),universal_class)),universal_class))))),X1)
        | null_class = X1
        | ~ member(X1,universal_class) )
    | ~ spl8_78 ),
    inference(avatar_component_clause,[],[f760]) ).

fof(f8133,plain,
    ( spl8_364
    | ~ spl8_14
    | ~ spl8_15
    | spl8_363 ),
    inference(avatar_split_clause,[],[f8070,f7214,f333,f329,f8131]) ).

fof(f8131,plain,
    ( spl8_364
  <=> ! [X0] :
        ( identity_relation = X0
        | member(sK2(X0),universal_class) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_364])]) ).

fof(f329,plain,
    ( spl8_14
  <=> ! [X0] :
        ( member(sK2(X0),universal_class)
        | null_class = X0 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_14])]) ).

fof(f7214,plain,
    ( spl8_363
  <=> member(sK2(identity_relation),identity_relation) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_363])]) ).

fof(f8070,plain,
    ( ! [X0] :
        ( identity_relation = X0
        | member(sK2(X0),universal_class) )
    | ~ spl8_14
    | ~ spl8_15
    | spl8_363 ),
    inference(forward_demodulation,[],[f330,f7219]) ).

fof(f7219,plain,
    ( null_class = identity_relation
    | ~ spl8_15
    | spl8_363 ),
    inference(resolution,[],[f7215,f334]) ).

fof(f7215,plain,
    ( ~ member(sK2(identity_relation),identity_relation)
    | spl8_363 ),
    inference(avatar_component_clause,[],[f7214]) ).

fof(f330,plain,
    ( ! [X0] :
        ( member(sK2(X0),universal_class)
        | null_class = X0 )
    | ~ spl8_14 ),
    inference(avatar_component_clause,[],[f329]) ).

fof(f7221,plain,
    ( ~ spl8_305
    | spl8_362 ),
    inference(avatar_contradiction_clause,[],[f7220]) ).

fof(f7220,plain,
    ( $false
    | ~ spl8_305
    | spl8_362 ),
    inference(resolution,[],[f7212,f6129]) ).

fof(f6129,plain,
    ( ! [X0] : member(X0,universal_class)
    | ~ spl8_305 ),
    inference(avatar_component_clause,[],[f6128]) ).

fof(f6128,plain,
    ( spl8_305
  <=> ! [X0] : member(X0,universal_class) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_305])]) ).

fof(f7212,plain,
    ( ~ member(sK3(sK2(identity_relation)),universal_class)
    | spl8_362 ),
    inference(avatar_component_clause,[],[f7210]) ).

fof(f7217,plain,
    ( ~ spl8_362
    | spl8_363
    | ~ spl8_62
    | ~ spl8_223 ),
    inference(avatar_split_clause,[],[f4032,f3696,f639,f7214,f7210]) ).

fof(f639,plain,
    ( spl8_62
  <=> ! [X1] :
        ( member(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X1,X1))),identity_relation)
        | ~ member(X1,universal_class) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_62])]) ).

fof(f4032,plain,
    ( member(sK2(identity_relation),identity_relation)
    | ~ member(sK3(sK2(identity_relation)),universal_class)
    | ~ spl8_62
    | ~ spl8_223 ),
    inference(superposition,[],[f640,f3698]) ).

fof(f640,plain,
    ( ! [X1] :
        ( member(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X1,X1))),identity_relation)
        | ~ member(X1,universal_class) )
    | ~ spl8_62 ),
    inference(avatar_component_clause,[],[f639]) ).

fof(f7208,plain,
    ( spl8_360
    | ~ spl8_361
    | ~ spl8_80
    | ~ spl8_329 ),
    inference(avatar_split_clause,[],[f6805,f6366,f795,f7205,f7202]) ).

fof(f7202,plain,
    ( spl8_360
  <=> ! [X0] : ~ member(X0,sK0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_360])]) ).

fof(f7205,plain,
    ( spl8_361
  <=> subclass(sK1,null_class) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_361])]) ).

fof(f795,plain,
    ( spl8_80
  <=> ! [X0] :
        ( member(X0,sum_class(sK1))
        | ~ member(X0,sK0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_80])]) ).

fof(f6366,plain,
    ( spl8_329
  <=> ! [X0,X1] :
        ( ~ member(X0,sum_class(X1))
        | ~ subclass(X1,null_class) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_329])]) ).

fof(f6805,plain,
    ( ! [X0] :
        ( ~ subclass(sK1,null_class)
        | ~ member(X0,sK0) )
    | ~ spl8_80
    | ~ spl8_329 ),
    inference(resolution,[],[f6367,f796]) ).

fof(f796,plain,
    ( ! [X0] :
        ( member(X0,sum_class(sK1))
        | ~ member(X0,sK0) )
    | ~ spl8_80 ),
    inference(avatar_component_clause,[],[f795]) ).

fof(f6367,plain,
    ( ! [X0,X1] :
        ( ~ member(X0,sum_class(X1))
        | ~ subclass(X1,null_class) )
    | ~ spl8_329 ),
    inference(avatar_component_clause,[],[f6366]) ).

fof(f7200,plain,
    ( ~ spl8_358
    | spl8_359
    | ~ spl8_5
    | ~ spl8_195 ),
    inference(avatar_split_clause,[],[f2951,f2688,f289,f7198,f7194]) ).

fof(f7194,plain,
    ( spl8_358
  <=> subclass(element_relation,null_class) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_358])]) ).

fof(f7198,plain,
    ( spl8_359
  <=> ! [X0,X1] :
        ( ~ member(X0,universal_class)
        | ~ member(X1,X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_359])]) ).

fof(f2688,plain,
    ( spl8_195
  <=> ! [X2,X0,X1] :
        ( ~ member(X0,X1)
        | ~ member(X1,universal_class)
        | member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),X2)
        | ~ subclass(element_relation,X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_195])]) ).

fof(f2951,plain,
    ( ! [X0,X1] :
        ( ~ member(X0,universal_class)
        | ~ member(X1,X0)
        | ~ subclass(element_relation,null_class) )
    | ~ spl8_5
    | ~ spl8_195 ),
    inference(resolution,[],[f2689,f290]) ).

fof(f2689,plain,
    ( ! [X2,X0,X1] :
        ( member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),X2)
        | ~ member(X1,universal_class)
        | ~ member(X0,X1)
        | ~ subclass(element_relation,X2) )
    | ~ spl8_195 ),
    inference(avatar_component_clause,[],[f2688]) ).

fof(f7191,plain,
    ( ~ spl8_356
    | spl8_357
    | ~ spl8_57
    | ~ spl8_179 ),
    inference(avatar_split_clause,[],[f2377,f2268,f618,f7189,f7185]) ).

fof(f7185,plain,
    ( spl8_356
  <=> subclass(identity_relation,element_relation) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_356])]) ).

fof(f7189,plain,
    ( spl8_357
  <=> ! [X0] :
        ( ~ member(X0,universal_class)
        | member(X0,X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_357])]) ).

fof(f618,plain,
    ( spl8_57
  <=> ! [X0,X1] :
        ( member(X0,X1)
        | ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),element_relation) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_57])]) ).

fof(f2377,plain,
    ( ! [X0] :
        ( ~ member(X0,universal_class)
        | ~ subclass(identity_relation,element_relation)
        | member(X0,X0) )
    | ~ spl8_57
    | ~ spl8_179 ),
    inference(resolution,[],[f2269,f619]) ).

fof(f619,plain,
    ( ! [X0,X1] :
        ( ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),element_relation)
        | member(X0,X1) )
    | ~ spl8_57 ),
    inference(avatar_component_clause,[],[f618]) ).

fof(f7182,plain,
    ( spl8_355
    | ~ spl8_7
    | ~ spl8_154 ),
    inference(avatar_split_clause,[],[f1821,f1540,f297,f7180]) ).

fof(f1821,plain,
    ( ! [X0,X1] :
        ( ~ member(X0,sK7)
        | member(X0,sum_class(union(universal_class,X1))) )
    | ~ spl8_7
    | ~ spl8_154 ),
    inference(resolution,[],[f1541,f299]) ).

fof(f7177,plain,
    ( spl8_354
    | ~ spl8_7
    | ~ spl8_153 ),
    inference(avatar_split_clause,[],[f1769,f1536,f297,f7175]) ).

fof(f7175,plain,
    ( spl8_354
  <=> ! [X0,X1] :
        ( ~ member(X0,sK7)
        | member(X0,sum_class(union(X1,universal_class))) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_354])]) ).

fof(f1769,plain,
    ( ! [X0,X1] :
        ( ~ member(X0,sK7)
        | member(X0,sum_class(union(X1,universal_class))) )
    | ~ spl8_7
    | ~ spl8_153 ),
    inference(resolution,[],[f1537,f299]) ).

fof(f7173,plain,
    ( spl8_353
    | ~ spl8_131
    | ~ spl8_150 ),
    inference(avatar_split_clause,[],[f1698,f1520,f1262,f7171]) ).

fof(f7171,plain,
    ( spl8_353
  <=> ! [X0,X1] :
        ( ~ member(X0,sum_class(complement(X1)))
        | ~ subclass(complement(X1),X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_353])]) ).

fof(f1262,plain,
    ( spl8_131
  <=> ! [X0,X1] :
        ( ~ member(X0,sum_class(complement(X1)))
        | ~ member(sK5(X0,complement(X1)),X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_131])]) ).

fof(f1520,plain,
    ( spl8_150
  <=> ! [X2,X0,X1] :
        ( ~ member(X0,sum_class(X1))
        | member(sK5(X0,X1),X2)
        | ~ subclass(X1,X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_150])]) ).

fof(f1698,plain,
    ( ! [X0,X1] :
        ( ~ member(X0,sum_class(complement(X1)))
        | ~ subclass(complement(X1),X1) )
    | ~ spl8_131
    | ~ spl8_150 ),
    inference(duplicate_literal_removal,[],[f1675]) ).

fof(f1675,plain,
    ( ! [X0,X1] :
        ( ~ member(X0,sum_class(complement(X1)))
        | ~ subclass(complement(X1),X1)
        | ~ member(X0,sum_class(complement(X1))) )
    | ~ spl8_131
    | ~ spl8_150 ),
    inference(resolution,[],[f1521,f1263]) ).

fof(f1263,plain,
    ( ! [X0,X1] :
        ( ~ member(sK5(X0,complement(X1)),X1)
        | ~ member(X0,sum_class(complement(X1))) )
    | ~ spl8_131 ),
    inference(avatar_component_clause,[],[f1262]) ).

fof(f1521,plain,
    ( ! [X2,X0,X1] :
        ( member(sK5(X0,X1),X2)
        | ~ member(X0,sum_class(X1))
        | ~ subclass(X1,X2) )
    | ~ spl8_150 ),
    inference(avatar_component_clause,[],[f1520]) ).

fof(f7169,plain,
    ( spl8_352
    | ~ spl8_11
    | ~ spl8_115 ),
    inference(avatar_split_clause,[],[f1109,f1040,f316,f7167]) ).

fof(f7167,plain,
    ( spl8_352
  <=> ! [X0] :
        ( ~ member(null_class,X0)
        | null_class = X0
        | ~ inductive(sK2(X0)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_352])]) ).

fof(f1109,plain,
    ( ! [X0] :
        ( ~ member(null_class,X0)
        | null_class = X0
        | ~ inductive(sK2(X0)) )
    | ~ spl8_11
    | ~ spl8_115 ),
    inference(resolution,[],[f1041,f317]) ).

fof(f7148,plain,
    ( spl8_351
    | spl8_212
    | ~ spl8_21
    | ~ spl8_101 ),
    inference(avatar_split_clause,[],[f961,f909,f357,f3446,f7146]) ).

fof(f7146,plain,
    ( spl8_351
  <=> ! [X0,X1] : ~ inductive(compose(X0,X1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_351])]) ).

fof(f3446,plain,
    ( spl8_212
  <=> member(null_class,cross_product(universal_class,universal_class)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_212])]) ).

fof(f357,plain,
    ( spl8_21
  <=> ! [X0,X1] : subclass(compose(X1,X0),cross_product(universal_class,universal_class)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_21])]) ).

fof(f961,plain,
    ( ! [X0,X1] :
        ( member(null_class,cross_product(universal_class,universal_class))
        | ~ inductive(compose(X0,X1)) )
    | ~ spl8_21
    | ~ spl8_101 ),
    inference(resolution,[],[f910,f358]) ).

fof(f358,plain,
    ( ! [X0,X1] : subclass(compose(X1,X0),cross_product(universal_class,universal_class))
    | ~ spl8_21 ),
    inference(avatar_component_clause,[],[f357]) ).

fof(f7144,plain,
    ( spl8_350
    | ~ spl8_32
    | ~ spl8_282 ),
    inference(avatar_split_clause,[],[f5464,f5438,f413,f7142]) ).

fof(f7142,plain,
    ( spl8_350
  <=> ! [X0] : subclass(sK0,union(X0,sum_class(sK1))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_350])]) ).

fof(f5438,plain,
    ( spl8_282
  <=> ! [X0,X1] :
        ( subclass(X0,union(X1,sum_class(sK1)))
        | ~ member(sK4(X0,union(X1,sum_class(sK1))),sK0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_282])]) ).

fof(f5464,plain,
    ( ! [X0] : subclass(sK0,union(X0,sum_class(sK1)))
    | ~ spl8_32
    | ~ spl8_282 ),
    inference(duplicate_literal_removal,[],[f5453]) ).

fof(f5453,plain,
    ( ! [X0] :
        ( subclass(sK0,union(X0,sum_class(sK1)))
        | subclass(sK0,union(X0,sum_class(sK1))) )
    | ~ spl8_32
    | ~ spl8_282 ),
    inference(resolution,[],[f5439,f414]) ).

fof(f5439,plain,
    ( ! [X0,X1] :
        ( ~ member(sK4(X0,union(X1,sum_class(sK1))),sK0)
        | subclass(X0,union(X1,sum_class(sK1))) )
    | ~ spl8_282 ),
    inference(avatar_component_clause,[],[f5438]) ).

fof(f7138,plain,
    ( spl8_349
    | ~ spl8_44
    | ~ spl8_212 ),
    inference(avatar_split_clause,[],[f7128,f3446,f482,f7136]) ).

fof(f7136,plain,
    ( spl8_349
  <=> ! [X0] :
        ( member(null_class,X0)
        | ~ subclass(cross_product(universal_class,universal_class),X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_349])]) ).

fof(f7128,plain,
    ( ! [X0] :
        ( member(null_class,X0)
        | ~ subclass(cross_product(universal_class,universal_class),X0) )
    | ~ spl8_44
    | ~ spl8_212 ),
    inference(resolution,[],[f3447,f483]) ).

fof(f3447,plain,
    ( member(null_class,cross_product(universal_class,universal_class))
    | ~ spl8_212 ),
    inference(avatar_component_clause,[],[f3446]) ).

fof(f7126,plain,
    ( spl8_348
    | spl8_212
    | ~ spl8_19
    | ~ spl8_101 ),
    inference(avatar_split_clause,[],[f954,f909,f349,f3446,f7124]) ).

fof(f7124,plain,
    ( spl8_348
  <=> ! [X0] :
        ( ~ inductive(X0)
        | ~ function(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_348])]) ).

fof(f349,plain,
    ( spl8_19
  <=> ! [X0] :
        ( subclass(X0,cross_product(universal_class,universal_class))
        | ~ function(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_19])]) ).

fof(f954,plain,
    ( ! [X0] :
        ( member(null_class,cross_product(universal_class,universal_class))
        | ~ inductive(X0)
        | ~ function(X0) )
    | ~ spl8_19
    | ~ spl8_101 ),
    inference(resolution,[],[f910,f350]) ).

fof(f350,plain,
    ( ! [X0] :
        ( subclass(X0,cross_product(universal_class,universal_class))
        | ~ function(X0) )
    | ~ spl8_19 ),
    inference(avatar_component_clause,[],[f349]) ).

fof(f7122,plain,
    ( spl8_347
    | ~ spl8_26
    | ~ spl8_100 ),
    inference(avatar_split_clause,[],[f948,f905,f378,f7120]) ).

fof(f948,plain,
    ( ! [X2,X0,X1] :
        ( ~ subclass(universal_class,power_class(X0))
        | subclass(unordered_pair(X1,X2),X0) )
    | ~ spl8_26
    | ~ spl8_100 ),
    inference(resolution,[],[f906,f379]) ).

fof(f7118,plain,
    ( spl8_346
    | ~ spl8_24
    | ~ spl8_100 ),
    inference(avatar_split_clause,[],[f941,f905,f370,f7116]) ).

fof(f7116,plain,
    ( spl8_346
  <=> ! [X2,X0,X1] :
        ( ~ subclass(universal_class,complement(X0))
        | ~ member(unordered_pair(X1,X2),X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_346])]) ).

fof(f941,plain,
    ( ! [X2,X0,X1] :
        ( ~ subclass(universal_class,complement(X0))
        | ~ member(unordered_pair(X1,X2),X0) )
    | ~ spl8_24
    | ~ spl8_100 ),
    inference(resolution,[],[f906,f371]) ).

fof(f7046,plain,
    ( spl8_345
    | ~ spl8_32
    | ~ spl8_281 ),
    inference(avatar_split_clause,[],[f5452,f5434,f413,f7044]) ).

fof(f7044,plain,
    ( spl8_345
  <=> ! [X0] : subclass(sK0,union(sum_class(sK1),X0)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_345])]) ).

fof(f5434,plain,
    ( spl8_281
  <=> ! [X0,X1] :
        ( subclass(X0,union(sum_class(sK1),X1))
        | ~ member(sK4(X0,union(sum_class(sK1),X1)),sK0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_281])]) ).

fof(f5452,plain,
    ( ! [X0] : subclass(sK0,union(sum_class(sK1),X0))
    | ~ spl8_32
    | ~ spl8_281 ),
    inference(duplicate_literal_removal,[],[f5441]) ).

fof(f5441,plain,
    ( ! [X0] :
        ( subclass(sK0,union(sum_class(sK1),X0))
        | subclass(sK0,union(sum_class(sK1),X0)) )
    | ~ spl8_32
    | ~ spl8_281 ),
    inference(resolution,[],[f5435,f414]) ).

fof(f5435,plain,
    ( ! [X0,X1] :
        ( ~ member(sK4(X0,union(sum_class(sK1),X1)),sK0)
        | subclass(X0,union(sum_class(sK1),X1)) )
    | ~ spl8_281 ),
    inference(avatar_component_clause,[],[f5434]) ).

fof(f7031,plain,
    ( spl8_344
    | ~ spl8_134
    | ~ spl8_149 ),
    inference(avatar_split_clause,[],[f1674,f1516,f1274,f7029]) ).

fof(f7029,plain,
    ( spl8_344
  <=> ! [X0,X1] :
        ( member(X0,X1)
        | ~ member(X0,sum_class(power_class(X1))) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_344])]) ).

fof(f1274,plain,
    ( spl8_134
  <=> ! [X0,X1] :
        ( ~ member(X0,sum_class(power_class(X1)))
        | subclass(sK5(X0,power_class(X1)),X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_134])]) ).

fof(f1516,plain,
    ( spl8_149
  <=> ! [X2,X0,X1] :
        ( ~ member(X0,sum_class(X1))
        | member(X0,X2)
        | ~ subclass(sK5(X0,X1),X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_149])]) ).

fof(f1674,plain,
    ( ! [X0,X1] :
        ( member(X0,X1)
        | ~ member(X0,sum_class(power_class(X1))) )
    | ~ spl8_134
    | ~ spl8_149 ),
    inference(duplicate_literal_removal,[],[f1670]) ).

fof(f1670,plain,
    ( ! [X0,X1] :
        ( member(X0,X1)
        | ~ member(X0,sum_class(power_class(X1)))
        | ~ member(X0,sum_class(power_class(X1))) )
    | ~ spl8_134
    | ~ spl8_149 ),
    inference(resolution,[],[f1517,f1275]) ).

fof(f1275,plain,
    ( ! [X0,X1] :
        ( subclass(sK5(X0,power_class(X1)),X1)
        | ~ member(X0,sum_class(power_class(X1))) )
    | ~ spl8_134 ),
    inference(avatar_component_clause,[],[f1274]) ).

fof(f1517,plain,
    ( ! [X2,X0,X1] :
        ( ~ subclass(sK5(X0,X1),X2)
        | member(X0,X2)
        | ~ member(X0,sum_class(X1)) )
    | ~ spl8_149 ),
    inference(avatar_component_clause,[],[f1516]) ).

fof(f7027,plain,
    ( spl8_343
    | ~ spl8_130
    | ~ spl8_146 ),
    inference(avatar_split_clause,[],[f1646,f1504,f1258,f7025]) ).

fof(f7025,plain,
    ( spl8_343
  <=> ! [X2,X0,X1] :
        ( subclass(X0,union(X1,X2))
        | ~ subclass(X0,X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_343])]) ).

fof(f1258,plain,
    ( spl8_130
  <=> ! [X2,X0,X1] :
        ( member(sK4(X0,X1),X2)
        | ~ subclass(X0,X2)
        | subclass(X0,X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_130])]) ).

fof(f1504,plain,
    ( spl8_146
  <=> ! [X2,X0,X1] :
        ( ~ member(sK4(X0,union(X1,X2)),X2)
        | subclass(X0,union(X1,X2)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_146])]) ).

fof(f1646,plain,
    ( ! [X2,X0,X1] :
        ( subclass(X0,union(X1,X2))
        | ~ subclass(X0,X2) )
    | ~ spl8_130
    | ~ spl8_146 ),
    inference(duplicate_literal_removal,[],[f1632]) ).

fof(f1632,plain,
    ( ! [X2,X0,X1] :
        ( subclass(X0,union(X1,X2))
        | ~ subclass(X0,X2)
        | subclass(X0,union(X1,X2)) )
    | ~ spl8_130
    | ~ spl8_146 ),
    inference(resolution,[],[f1505,f1259]) ).

fof(f1259,plain,
    ( ! [X2,X0,X1] :
        ( member(sK4(X0,X1),X2)
        | ~ subclass(X0,X2)
        | subclass(X0,X1) )
    | ~ spl8_130 ),
    inference(avatar_component_clause,[],[f1258]) ).

fof(f1505,plain,
    ( ! [X2,X0,X1] :
        ( ~ member(sK4(X0,union(X1,X2)),X2)
        | subclass(X0,union(X1,X2)) )
    | ~ spl8_146 ),
    inference(avatar_component_clause,[],[f1504]) ).

fof(f7023,plain,
    ( spl8_342
    | ~ spl8_130
    | ~ spl8_145 ),
    inference(avatar_split_clause,[],[f1623,f1500,f1258,f7021]) ).

fof(f7021,plain,
    ( spl8_342
  <=> ! [X2,X0,X1] :
        ( subclass(X0,union(X1,X2))
        | ~ subclass(X0,X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_342])]) ).

fof(f1500,plain,
    ( spl8_145
  <=> ! [X2,X0,X1] :
        ( ~ member(sK4(X0,union(X1,X2)),X1)
        | subclass(X0,union(X1,X2)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_145])]) ).

fof(f1623,plain,
    ( ! [X2,X0,X1] :
        ( subclass(X0,union(X1,X2))
        | ~ subclass(X0,X1) )
    | ~ spl8_130
    | ~ spl8_145 ),
    inference(duplicate_literal_removal,[],[f1609]) ).

fof(f1609,plain,
    ( ! [X2,X0,X1] :
        ( subclass(X0,union(X1,X2))
        | ~ subclass(X0,X1)
        | subclass(X0,union(X1,X2)) )
    | ~ spl8_130
    | ~ spl8_145 ),
    inference(resolution,[],[f1501,f1259]) ).

fof(f1501,plain,
    ( ! [X2,X0,X1] :
        ( ~ member(sK4(X0,union(X1,X2)),X1)
        | subclass(X0,union(X1,X2)) )
    | ~ spl8_145 ),
    inference(avatar_component_clause,[],[f1500]) ).

fof(f7019,plain,
    ( spl8_341
    | ~ spl8_105
    | ~ spl8_130 ),
    inference(avatar_split_clause,[],[f1384,f1258,f998,f7017]) ).

fof(f7017,plain,
    ( spl8_341
  <=> ! [X0,X1] :
        ( ~ subclass(complement(X0),X0)
        | subclass(complement(X0),X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_341])]) ).

fof(f1384,plain,
    ( ! [X0,X1] :
        ( ~ subclass(complement(X0),X0)
        | subclass(complement(X0),X1) )
    | ~ spl8_105
    | ~ spl8_130 ),
    inference(duplicate_literal_removal,[],[f1366]) ).

fof(f1366,plain,
    ( ! [X0,X1] :
        ( ~ subclass(complement(X0),X0)
        | subclass(complement(X0),X1)
        | subclass(complement(X0),X1) )
    | ~ spl8_105
    | ~ spl8_130 ),
    inference(resolution,[],[f1259,f999]) ).

fof(f7015,plain,
    ( spl8_340
    | ~ spl8_102
    | ~ spl8_119 ),
    inference(avatar_split_clause,[],[f1209,f1060,f965,f7013]) ).

fof(f7013,plain,
    ( spl8_340
  <=> ! [X0] :
        ( ~ subclass(complement(X0),X0)
        | complement(X0) = null_class ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_340])]) ).

fof(f1209,plain,
    ( ! [X0] :
        ( ~ subclass(complement(X0),X0)
        | complement(X0) = null_class )
    | ~ spl8_102
    | ~ spl8_119 ),
    inference(duplicate_literal_removal,[],[f1187]) ).

fof(f1187,plain,
    ( ! [X0] :
        ( ~ subclass(complement(X0),X0)
        | complement(X0) = null_class
        | complement(X0) = null_class )
    | ~ spl8_102
    | ~ spl8_119 ),
    inference(resolution,[],[f1061,f966]) ).

fof(f6999,plain,
    ( spl8_338
    | spl8_339
    | ~ spl8_11
    | ~ spl8_104 ),
    inference(avatar_split_clause,[],[f992,f973,f316,f6996,f6993]) ).

fof(f6993,plain,
    ( spl8_338
  <=> ! [X0,X1] : ~ inductive(unordered_pair(X0,X1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_338])]) ).

fof(f992,plain,
    ( ! [X0,X1] :
        ( member(null_class,sum_class(universal_class))
        | ~ inductive(unordered_pair(X0,X1)) )
    | ~ spl8_11
    | ~ spl8_104 ),
    inference(resolution,[],[f974,f317]) ).

fof(f6917,plain,
    ( spl8_246
    | ~ spl8_305 ),
    inference(avatar_contradiction_clause,[],[f6893]) ).

fof(f6893,plain,
    ( $false
    | spl8_246
    | ~ spl8_305 ),
    inference(resolution,[],[f6129,f4614]) ).

fof(f4614,plain,
    ( ~ member(universal_class,universal_class)
    | spl8_246 ),
    inference(avatar_component_clause,[],[f4612]) ).

fof(f6916,plain,
    ( ~ spl8_305
    | spl8_334 ),
    inference(avatar_contradiction_clause,[],[f6897]) ).

fof(f6897,plain,
    ( $false
    | ~ spl8_305
    | spl8_334 ),
    inference(resolution,[],[f6129,f6850]) ).

fof(f6850,plain,
    ( ~ member(complement(sum_class(sK1)),universal_class)
    | spl8_334 ),
    inference(avatar_component_clause,[],[f6848]) ).

fof(f6848,plain,
    ( spl8_334
  <=> member(complement(sum_class(sK1)),universal_class) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_334])]) ).

fof(f6915,plain,
    ( spl8_299
    | ~ spl8_305 ),
    inference(avatar_contradiction_clause,[],[f6898]) ).

fof(f6898,plain,
    ( $false
    | spl8_299
    | ~ spl8_305 ),
    inference(resolution,[],[f6129,f6069]) ).

fof(f6069,plain,
    ( ~ member(sum_class(sK1),universal_class)
    | spl8_299 ),
    inference(avatar_component_clause,[],[f6067]) ).

fof(f6914,plain,
    ( spl8_263
    | ~ spl8_305 ),
    inference(avatar_contradiction_clause,[],[f6901]) ).

fof(f6901,plain,
    ( $false
    | spl8_263
    | ~ spl8_305 ),
    inference(resolution,[],[f6129,f5145]) ).

fof(f5145,plain,
    ( ~ member(identity_relation,universal_class)
    | spl8_263 ),
    inference(avatar_component_clause,[],[f5143]) ).

fof(f6913,plain,
    ( spl8_289
    | ~ spl8_305 ),
    inference(avatar_contradiction_clause,[],[f6902]) ).

fof(f6902,plain,
    ( $false
    | spl8_289
    | ~ spl8_305 ),
    inference(resolution,[],[f6129,f5893]) ).

fof(f5893,plain,
    ( ~ member(sK1,universal_class)
    | spl8_289 ),
    inference(avatar_component_clause,[],[f5891]) ).

fof(f6865,plain,
    ( spl8_305
    | spl8_337
    | ~ spl8_65
    | ~ spl8_100 ),
    inference(avatar_split_clause,[],[f925,f905,f656,f6863,f6128]) ).

fof(f6863,plain,
    ( spl8_337
  <=> ! [X0,X1] : ~ subclass(universal_class,compose(X0,X1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_337])]) ).

fof(f925,plain,
    ( ! [X2,X0,X1] :
        ( ~ subclass(universal_class,compose(X0,X1))
        | member(X2,universal_class) )
    | ~ spl8_65
    | ~ spl8_100 ),
    inference(resolution,[],[f906,f657]) ).

fof(f6861,plain,
    ( spl8_336
    | ~ spl8_66
    | ~ spl8_100 ),
    inference(avatar_split_clause,[],[f918,f905,f660,f6859]) ).

fof(f6859,plain,
    ( spl8_336
  <=> ! [X2,X0,X1] :
        ( ~ subclass(universal_class,cross_product(X0,X1))
        | member(X2,X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_336])]) ).

fof(f918,plain,
    ( ! [X2,X0,X1] :
        ( ~ subclass(universal_class,cross_product(X0,X1))
        | member(X2,X1) )
    | ~ spl8_66
    | ~ spl8_100 ),
    inference(resolution,[],[f906,f661]) ).

fof(f6857,plain,
    ( spl8_335
    | ~ spl8_67
    | ~ spl8_100 ),
    inference(avatar_split_clause,[],[f917,f905,f664,f6855]) ).

fof(f6855,plain,
    ( spl8_335
  <=> ! [X2,X0,X1] :
        ( ~ subclass(universal_class,cross_product(X0,X1))
        | member(X2,X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_335])]) ).

fof(f917,plain,
    ( ! [X2,X0,X1] :
        ( ~ subclass(universal_class,cross_product(X0,X1))
        | member(X2,X0) )
    | ~ spl8_67
    | ~ spl8_100 ),
    inference(resolution,[],[f906,f665]) ).

fof(f6851,plain,
    ( ~ spl8_333
    | spl8_271
    | ~ spl8_334
    | ~ spl8_80
    | ~ spl8_225 ),
    inference(avatar_split_clause,[],[f4091,f3718,f795,f6848,f5224,f6844]) ).

fof(f6844,plain,
    ( spl8_333
  <=> member(sum_class(domain_of(domain_of(flip(cross_product(intersection(sK6,cross_product(unordered_pair(complement(sum_class(sK1)),complement(sum_class(sK1))),universal_class)),universal_class))))),sK0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_333])]) ).

fof(f5224,plain,
    ( spl8_271
  <=> null_class = complement(sum_class(sK1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_271])]) ).

fof(f3718,plain,
    ( spl8_225
  <=> ! [X0] :
        ( complement(X0) = null_class
        | ~ member(complement(X0),universal_class)
        | ~ member(sum_class(domain_of(domain_of(flip(cross_product(intersection(sK6,cross_product(unordered_pair(complement(X0),complement(X0)),universal_class)),universal_class))))),X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_225])]) ).

fof(f4091,plain,
    ( ~ member(complement(sum_class(sK1)),universal_class)
    | null_class = complement(sum_class(sK1))
    | ~ member(sum_class(domain_of(domain_of(flip(cross_product(intersection(sK6,cross_product(unordered_pair(complement(sum_class(sK1)),complement(sum_class(sK1))),universal_class)),universal_class))))),sK0)
    | ~ spl8_80
    | ~ spl8_225 ),
    inference(resolution,[],[f3719,f796]) ).

fof(f3719,plain,
    ( ! [X0] :
        ( ~ member(sum_class(domain_of(domain_of(flip(cross_product(intersection(sK6,cross_product(unordered_pair(complement(X0),complement(X0)),universal_class)),universal_class))))),X0)
        | ~ member(complement(X0),universal_class)
        | complement(X0) = null_class )
    | ~ spl8_225 ),
    inference(avatar_component_clause,[],[f3718]) ).

fof(f6405,plain,
    ( spl8_332
    | ~ spl8_222
    | ~ spl8_226 ),
    inference(avatar_split_clause,[],[f3726,f3723,f3692,f6403]) ).

fof(f3723,plain,
    ( spl8_226
  <=> ! [X0] :
        ( complement(X0) = null_class
        | ~ member(complement(X0),universal_class)
        | member(sum_class(domain_of(domain_of(flip(cross_product(intersection(sK6,cross_product(unordered_pair(complement(X0),complement(X0)),universal_class)),universal_class))))),universal_class) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_226])]) ).

fof(f3726,plain,
    ( ! [X0] :
        ( complement(X0) = identity_relation
        | ~ member(complement(X0),universal_class)
        | member(sum_class(domain_of(domain_of(flip(cross_product(intersection(sK6,cross_product(unordered_pair(complement(X0),complement(X0)),universal_class)),universal_class))))),universal_class) )
    | ~ spl8_222
    | ~ spl8_226 ),
    inference(forward_demodulation,[],[f3724,f3694]) ).

fof(f3724,plain,
    ( ! [X0] :
        ( member(sum_class(domain_of(domain_of(flip(cross_product(intersection(sK6,cross_product(unordered_pair(complement(X0),complement(X0)),universal_class)),universal_class))))),universal_class)
        | ~ member(complement(X0),universal_class)
        | complement(X0) = null_class )
    | ~ spl8_226 ),
    inference(avatar_component_clause,[],[f3723]) ).

fof(f6401,plain,
    ( ~ spl8_331
    | spl8_210
    | ~ spl8_222 ),
    inference(avatar_split_clause,[],[f3711,f3692,f3408,f6398]) ).

fof(f6398,plain,
    ( spl8_331
  <=> member(identity_relation,sK0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_331])]) ).

fof(f3408,plain,
    ( spl8_210
  <=> member(null_class,sK0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_210])]) ).

fof(f3711,plain,
    ( ~ member(identity_relation,sK0)
    | spl8_210
    | ~ spl8_222 ),
    inference(superposition,[],[f3410,f3694]) ).

fof(f3410,plain,
    ( ~ member(null_class,sK0)
    | spl8_210 ),
    inference(avatar_component_clause,[],[f3408]) ).

fof(f6372,plain,
    ( spl8_330
    | ~ spl8_100
    | ~ spl8_223 ),
    inference(avatar_split_clause,[],[f4037,f3696,f905,f6370]) ).

fof(f6370,plain,
    ( spl8_330
  <=> ! [X0] :
        ( member(sK2(identity_relation),X0)
        | ~ subclass(universal_class,X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_330])]) ).

fof(f4037,plain,
    ( ! [X0] :
        ( member(sK2(identity_relation),X0)
        | ~ subclass(universal_class,X0) )
    | ~ spl8_100
    | ~ spl8_223 ),
    inference(superposition,[],[f906,f3698]) ).

fof(f6368,plain,
    ( spl8_329
    | ~ spl8_5
    | ~ spl8_150 ),
    inference(avatar_split_clause,[],[f1686,f1520,f289,f6366]) ).

fof(f1686,plain,
    ( ! [X0,X1] :
        ( ~ member(X0,sum_class(X1))
        | ~ subclass(X1,null_class) )
    | ~ spl8_5
    | ~ spl8_150 ),
    inference(resolution,[],[f1521,f290]) ).

fof(f6363,plain,
    ( spl8_328
    | ~ spl8_145
    | ~ spl8_147 ),
    inference(avatar_split_clause,[],[f1659,f1508,f1500,f6361]) ).

fof(f6361,plain,
    ( spl8_328
  <=> ! [X2,X0,X1] : subclass(unordered_pair(X0,X1),union(universal_class,X2)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_328])]) ).

fof(f1508,plain,
    ( spl8_147
  <=> ! [X2,X0,X1] :
        ( member(sK4(unordered_pair(X0,X1),X2),universal_class)
        | subclass(unordered_pair(X0,X1),X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_147])]) ).

fof(f1659,plain,
    ( ! [X2,X0,X1] : subclass(unordered_pair(X0,X1),union(universal_class,X2))
    | ~ spl8_145
    | ~ spl8_147 ),
    inference(duplicate_literal_removal,[],[f1652]) ).

fof(f1652,plain,
    ( ! [X2,X0,X1] :
        ( subclass(unordered_pair(X0,X1),union(universal_class,X2))
        | subclass(unordered_pair(X0,X1),union(universal_class,X2)) )
    | ~ spl8_145
    | ~ spl8_147 ),
    inference(resolution,[],[f1509,f1501]) ).

fof(f1509,plain,
    ( ! [X2,X0,X1] :
        ( member(sK4(unordered_pair(X0,X1),X2),universal_class)
        | subclass(unordered_pair(X0,X1),X2) )
    | ~ spl8_147 ),
    inference(avatar_component_clause,[],[f1508]) ).

fof(f6358,plain,
    ( spl8_327
    | ~ spl8_146
    | ~ spl8_147 ),
    inference(avatar_split_clause,[],[f1658,f1508,f1504,f6356]) ).

fof(f6356,plain,
    ( spl8_327
  <=> ! [X2,X0,X1] : subclass(unordered_pair(X0,X1),union(X2,universal_class)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_327])]) ).

fof(f1658,plain,
    ( ! [X2,X0,X1] : subclass(unordered_pair(X0,X1),union(X2,universal_class))
    | ~ spl8_146
    | ~ spl8_147 ),
    inference(duplicate_literal_removal,[],[f1653]) ).

fof(f1653,plain,
    ( ! [X2,X0,X1] :
        ( subclass(unordered_pair(X0,X1),union(X2,universal_class))
        | subclass(unordered_pair(X0,X1),union(X2,universal_class)) )
    | ~ spl8_146
    | ~ spl8_147 ),
    inference(resolution,[],[f1509,f1505]) ).

fof(f6354,plain,
    ( spl8_326
    | ~ spl8_143
    | ~ spl8_146 ),
    inference(avatar_split_clause,[],[f1645,f1504,f1492,f6352]) ).

fof(f6352,plain,
    ( spl8_326
  <=> ! [X2,X0,X1] : subclass(intersection(X0,X1),union(X2,X0)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_326])]) ).

fof(f1492,plain,
    ( spl8_143
  <=> ! [X2,X0,X1] :
        ( member(sK4(intersection(X0,X1),X2),X0)
        | subclass(intersection(X0,X1),X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_143])]) ).

fof(f1645,plain,
    ( ! [X2,X0,X1] : subclass(intersection(X0,X1),union(X2,X0))
    | ~ spl8_143
    | ~ spl8_146 ),
    inference(duplicate_literal_removal,[],[f1633]) ).

fof(f1633,plain,
    ( ! [X2,X0,X1] :
        ( subclass(intersection(X0,X1),union(X2,X0))
        | subclass(intersection(X0,X1),union(X2,X0)) )
    | ~ spl8_143
    | ~ spl8_146 ),
    inference(resolution,[],[f1505,f1493]) ).

fof(f1493,plain,
    ( ! [X2,X0,X1] :
        ( member(sK4(intersection(X0,X1),X2),X0)
        | subclass(intersection(X0,X1),X2) )
    | ~ spl8_143 ),
    inference(avatar_component_clause,[],[f1492]) ).

fof(f6350,plain,
    ( spl8_325
    | ~ spl8_144
    | ~ spl8_146 ),
    inference(avatar_split_clause,[],[f1644,f1504,f1496,f6348]) ).

fof(f6348,plain,
    ( spl8_325
  <=> ! [X2,X0,X1] : subclass(intersection(X0,X1),union(X2,X1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_325])]) ).

fof(f1496,plain,
    ( spl8_144
  <=> ! [X2,X0,X1] :
        ( member(sK4(intersection(X0,X1),X2),X1)
        | subclass(intersection(X0,X1),X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_144])]) ).

fof(f1644,plain,
    ( ! [X2,X0,X1] : subclass(intersection(X0,X1),union(X2,X1))
    | ~ spl8_144
    | ~ spl8_146 ),
    inference(duplicate_literal_removal,[],[f1634]) ).

fof(f1634,plain,
    ( ! [X2,X0,X1] :
        ( subclass(intersection(X0,X1),union(X2,X1))
        | subclass(intersection(X0,X1),union(X2,X1)) )
    | ~ spl8_144
    | ~ spl8_146 ),
    inference(resolution,[],[f1505,f1497]) ).

fof(f1497,plain,
    ( ! [X2,X0,X1] :
        ( member(sK4(intersection(X0,X1),X2),X1)
        | subclass(intersection(X0,X1),X2) )
    | ~ spl8_144 ),
    inference(avatar_component_clause,[],[f1496]) ).

fof(f6346,plain,
    ( spl8_324
    | ~ spl8_143
    | ~ spl8_145 ),
    inference(avatar_split_clause,[],[f1622,f1500,f1492,f6344]) ).

fof(f6344,plain,
    ( spl8_324
  <=> ! [X2,X0,X1] : subclass(intersection(X0,X1),union(X0,X2)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_324])]) ).

fof(f1622,plain,
    ( ! [X2,X0,X1] : subclass(intersection(X0,X1),union(X0,X2))
    | ~ spl8_143
    | ~ spl8_145 ),
    inference(duplicate_literal_removal,[],[f1610]) ).

fof(f1610,plain,
    ( ! [X2,X0,X1] :
        ( subclass(intersection(X0,X1),union(X0,X2))
        | subclass(intersection(X0,X1),union(X0,X2)) )
    | ~ spl8_143
    | ~ spl8_145 ),
    inference(resolution,[],[f1501,f1493]) ).

fof(f6342,plain,
    ( spl8_323
    | ~ spl8_144
    | ~ spl8_145 ),
    inference(avatar_split_clause,[],[f1621,f1500,f1496,f6340]) ).

fof(f6340,plain,
    ( spl8_323
  <=> ! [X2,X0,X1] : subclass(intersection(X0,X1),union(X1,X2)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_323])]) ).

fof(f1621,plain,
    ( ! [X2,X0,X1] : subclass(intersection(X0,X1),union(X1,X2))
    | ~ spl8_144
    | ~ spl8_145 ),
    inference(duplicate_literal_removal,[],[f1611]) ).

fof(f1611,plain,
    ( ! [X2,X0,X1] :
        ( subclass(intersection(X0,X1),union(X1,X2))
        | subclass(intersection(X0,X1),union(X1,X2)) )
    | ~ spl8_144
    | ~ spl8_145 ),
    inference(resolution,[],[f1501,f1497]) ).

fof(f6328,plain,
    ( spl8_322
    | ~ spl8_102
    | ~ spl8_118 ),
    inference(avatar_split_clause,[],[f1185,f1052,f965,f6326]) ).

fof(f6326,plain,
    ( spl8_322
  <=> ! [X0] :
        ( ~ subclass(universal_class,X0)
        | complement(X0) = null_class ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_322])]) ).

fof(f1185,plain,
    ( ! [X0] :
        ( ~ subclass(universal_class,X0)
        | complement(X0) = null_class )
    | ~ spl8_102
    | ~ spl8_118 ),
    inference(duplicate_literal_removal,[],[f1163]) ).

fof(f1163,plain,
    ( ! [X0] :
        ( ~ subclass(universal_class,X0)
        | complement(X0) = null_class
        | complement(X0) = null_class )
    | ~ spl8_102
    | ~ spl8_118 ),
    inference(resolution,[],[f1053,f966]) ).

fof(f6324,plain,
    ( spl8_321
    | ~ spl8_39
    | ~ spl8_104 ),
    inference(avatar_split_clause,[],[f989,f973,f441,f6322]) ).

fof(f6322,plain,
    ( spl8_321
  <=> ! [X0] :
        ( member(X0,sum_class(universal_class))
        | ~ member(X0,universal_class) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_321])]) ).

fof(f441,plain,
    ( spl8_39
  <=> ! [X2,X1] :
        ( member(X2,unordered_pair(X1,X2))
        | ~ member(X2,universal_class) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_39])]) ).

fof(f989,plain,
    ( ! [X0] :
        ( member(X0,sum_class(universal_class))
        | ~ member(X0,universal_class) )
    | ~ spl8_39
    | ~ spl8_104 ),
    inference(resolution,[],[f974,f442]) ).

fof(f442,plain,
    ( ! [X2,X1] :
        ( member(X2,unordered_pair(X1,X2))
        | ~ member(X2,universal_class) )
    | ~ spl8_39 ),
    inference(avatar_component_clause,[],[f441]) ).

fof(f6320,plain,
    ( ~ spl8_320
    | spl8_212
    | ~ spl8_10
    | ~ spl8_101 ),
    inference(avatar_split_clause,[],[f960,f909,f311,f3446,f6317]) ).

fof(f6317,plain,
    ( spl8_320
  <=> inductive(successor_relation) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_320])]) ).

fof(f311,plain,
    ( spl8_10
  <=> subclass(successor_relation,cross_product(universal_class,universal_class)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_10])]) ).

fof(f960,plain,
    ( member(null_class,cross_product(universal_class,universal_class))
    | ~ inductive(successor_relation)
    | ~ spl8_10
    | ~ spl8_101 ),
    inference(resolution,[],[f910,f313]) ).

fof(f313,plain,
    ( subclass(successor_relation,cross_product(universal_class,universal_class))
    | ~ spl8_10 ),
    inference(avatar_component_clause,[],[f311]) ).

fof(f6315,plain,
    ( ~ spl8_319
    | spl8_212
    | ~ spl8_9
    | ~ spl8_101 ),
    inference(avatar_split_clause,[],[f955,f909,f306,f3446,f6312]) ).

fof(f6312,plain,
    ( spl8_319
  <=> inductive(element_relation) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_319])]) ).

fof(f306,plain,
    ( spl8_9
  <=> subclass(element_relation,cross_product(universal_class,universal_class)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_9])]) ).

fof(f955,plain,
    ( member(null_class,cross_product(universal_class,universal_class))
    | ~ inductive(element_relation)
    | ~ spl8_9
    | ~ spl8_101 ),
    inference(resolution,[],[f910,f308]) ).

fof(f308,plain,
    ( subclass(element_relation,cross_product(universal_class,universal_class))
    | ~ spl8_9 ),
    inference(avatar_component_clause,[],[f306]) ).

fof(f6189,plain,
    ( spl8_318
    | ~ spl8_47
    | ~ spl8_295 ),
    inference(avatar_split_clause,[],[f6043,f5935,f530,f6187]) ).

fof(f6187,plain,
    ( spl8_318
  <=> ! [X0] : member(sK0,union(X0,sK1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_318])]) ).

fof(f530,plain,
    ( spl8_47
  <=> ! [X0] :
        ( member(sK0,X0)
        | ~ subclass(sK1,X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_47])]) ).

fof(f5935,plain,
    ( spl8_295
  <=> ! [X0,X1] : subclass(X0,union(X1,X0)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_295])]) ).

fof(f6043,plain,
    ( ! [X0] : member(sK0,union(X0,sK1))
    | ~ spl8_47
    | ~ spl8_295 ),
    inference(resolution,[],[f5936,f531]) ).

fof(f531,plain,
    ( ! [X0] :
        ( ~ subclass(sK1,X0)
        | member(sK0,X0) )
    | ~ spl8_47 ),
    inference(avatar_component_clause,[],[f530]) ).

fof(f5936,plain,
    ( ! [X0,X1] : subclass(X0,union(X1,X0))
    | ~ spl8_295 ),
    inference(avatar_component_clause,[],[f5935]) ).

fof(f6184,plain,
    ( ~ spl8_316
    | spl8_317
    | ~ spl8_5
    | ~ spl8_179 ),
    inference(avatar_split_clause,[],[f2406,f2268,f289,f6182,f6178]) ).

fof(f6178,plain,
    ( spl8_316
  <=> subclass(identity_relation,null_class) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_316])]) ).

fof(f6182,plain,
    ( spl8_317
  <=> ! [X0] : ~ member(X0,universal_class) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_317])]) ).

fof(f2406,plain,
    ( ! [X0] :
        ( ~ member(X0,universal_class)
        | ~ subclass(identity_relation,null_class) )
    | ~ spl8_5
    | ~ spl8_179 ),
    inference(resolution,[],[f2269,f290]) ).

fof(f6175,plain,
    ( spl8_315
    | ~ spl8_106
    | ~ spl8_146 ),
    inference(avatar_split_clause,[],[f1649,f1504,f1002,f6173]) ).

fof(f6173,plain,
    ( spl8_315
  <=> ! [X0,X1] : subclass(complement(X0),union(X1,universal_class)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_315])]) ).

fof(f1002,plain,
    ( spl8_106
  <=> ! [X0,X1] :
        ( subclass(complement(X0),X1)
        | member(sK4(complement(X0),X1),universal_class) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_106])]) ).

fof(f1649,plain,
    ( ! [X0,X1] : subclass(complement(X0),union(X1,universal_class))
    | ~ spl8_106
    | ~ spl8_146 ),
    inference(duplicate_literal_removal,[],[f1629]) ).

fof(f1629,plain,
    ( ! [X0,X1] :
        ( subclass(complement(X0),union(X1,universal_class))
        | subclass(complement(X0),union(X1,universal_class)) )
    | ~ spl8_106
    | ~ spl8_146 ),
    inference(resolution,[],[f1505,f1003]) ).

fof(f1003,plain,
    ( ! [X0,X1] :
        ( member(sK4(complement(X0),X1),universal_class)
        | subclass(complement(X0),X1) )
    | ~ spl8_106 ),
    inference(avatar_component_clause,[],[f1002]) ).

fof(f6170,plain,
    ( spl8_314
    | ~ spl8_107
    | ~ spl8_146 ),
    inference(avatar_split_clause,[],[f1648,f1504,f1006,f6168]) ).

fof(f6168,plain,
    ( spl8_314
  <=> ! [X0,X1] : subclass(domain_of(X0),union(X1,universal_class)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_314])]) ).

fof(f1006,plain,
    ( spl8_107
  <=> ! [X0,X1] :
        ( subclass(domain_of(X0),X1)
        | member(sK4(domain_of(X0),X1),universal_class) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_107])]) ).

fof(f1648,plain,
    ( ! [X0,X1] : subclass(domain_of(X0),union(X1,universal_class))
    | ~ spl8_107
    | ~ spl8_146 ),
    inference(duplicate_literal_removal,[],[f1630]) ).

fof(f1630,plain,
    ( ! [X0,X1] :
        ( subclass(domain_of(X0),union(X1,universal_class))
        | subclass(domain_of(X0),union(X1,universal_class)) )
    | ~ spl8_107
    | ~ spl8_146 ),
    inference(resolution,[],[f1505,f1007]) ).

fof(f1007,plain,
    ( ! [X0,X1] :
        ( member(sK4(domain_of(X0),X1),universal_class)
        | subclass(domain_of(X0),X1) )
    | ~ spl8_107 ),
    inference(avatar_component_clause,[],[f1006]) ).

fof(f6165,plain,
    ( spl8_313
    | ~ spl8_109
    | ~ spl8_146 ),
    inference(avatar_split_clause,[],[f1647,f1504,f1014,f6163]) ).

fof(f6163,plain,
    ( spl8_313
  <=> ! [X0,X1] : subclass(power_class(X0),union(X1,universal_class)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_313])]) ).

fof(f1014,plain,
    ( spl8_109
  <=> ! [X0,X1] :
        ( subclass(power_class(X0),X1)
        | member(sK4(power_class(X0),X1),universal_class) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_109])]) ).

fof(f1647,plain,
    ( ! [X0,X1] : subclass(power_class(X0),union(X1,universal_class))
    | ~ spl8_109
    | ~ spl8_146 ),
    inference(duplicate_literal_removal,[],[f1631]) ).

fof(f1631,plain,
    ( ! [X0,X1] :
        ( subclass(power_class(X0),union(X1,universal_class))
        | subclass(power_class(X0),union(X1,universal_class)) )
    | ~ spl8_109
    | ~ spl8_146 ),
    inference(resolution,[],[f1505,f1015]) ).

fof(f1015,plain,
    ( ! [X0,X1] :
        ( member(sK4(power_class(X0),X1),universal_class)
        | subclass(power_class(X0),X1) )
    | ~ spl8_109 ),
    inference(avatar_component_clause,[],[f1014]) ).

fof(f6160,plain,
    ( spl8_312
    | ~ spl8_106
    | ~ spl8_145 ),
    inference(avatar_split_clause,[],[f1626,f1500,f1002,f6158]) ).

fof(f6158,plain,
    ( spl8_312
  <=> ! [X0,X1] : subclass(complement(X0),union(universal_class,X1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_312])]) ).

fof(f1626,plain,
    ( ! [X0,X1] : subclass(complement(X0),union(universal_class,X1))
    | ~ spl8_106
    | ~ spl8_145 ),
    inference(duplicate_literal_removal,[],[f1606]) ).

fof(f1606,plain,
    ( ! [X0,X1] :
        ( subclass(complement(X0),union(universal_class,X1))
        | subclass(complement(X0),union(universal_class,X1)) )
    | ~ spl8_106
    | ~ spl8_145 ),
    inference(resolution,[],[f1501,f1003]) ).

fof(f6155,plain,
    ( spl8_311
    | ~ spl8_107
    | ~ spl8_145 ),
    inference(avatar_split_clause,[],[f1625,f1500,f1006,f6153]) ).

fof(f6153,plain,
    ( spl8_311
  <=> ! [X0,X1] : subclass(domain_of(X0),union(universal_class,X1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_311])]) ).

fof(f1625,plain,
    ( ! [X0,X1] : subclass(domain_of(X0),union(universal_class,X1))
    | ~ spl8_107
    | ~ spl8_145 ),
    inference(duplicate_literal_removal,[],[f1607]) ).

fof(f1607,plain,
    ( ! [X0,X1] :
        ( subclass(domain_of(X0),union(universal_class,X1))
        | subclass(domain_of(X0),union(universal_class,X1)) )
    | ~ spl8_107
    | ~ spl8_145 ),
    inference(resolution,[],[f1501,f1007]) ).

fof(f6150,plain,
    ( spl8_310
    | ~ spl8_109
    | ~ spl8_145 ),
    inference(avatar_split_clause,[],[f1624,f1500,f1014,f6148]) ).

fof(f6148,plain,
    ( spl8_310
  <=> ! [X0,X1] : subclass(power_class(X0),union(universal_class,X1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_310])]) ).

fof(f1624,plain,
    ( ! [X0,X1] : subclass(power_class(X0),union(universal_class,X1))
    | ~ spl8_109
    | ~ spl8_145 ),
    inference(duplicate_literal_removal,[],[f1608]) ).

fof(f1608,plain,
    ( ! [X0,X1] :
        ( subclass(power_class(X0),union(universal_class,X1))
        | subclass(power_class(X0),union(universal_class,X1)) )
    | ~ spl8_109
    | ~ spl8_145 ),
    inference(resolution,[],[f1501,f1015]) ).

fof(f6146,plain,
    ( spl8_309
    | ~ spl8_5
    | ~ spl8_130 ),
    inference(avatar_split_clause,[],[f1377,f1258,f289,f6144]) ).

fof(f6144,plain,
    ( spl8_309
  <=> ! [X0,X1] :
        ( ~ subclass(X0,null_class)
        | subclass(X0,X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_309])]) ).

fof(f1377,plain,
    ( ! [X0,X1] :
        ( ~ subclass(X0,null_class)
        | subclass(X0,X1) )
    | ~ spl8_5
    | ~ spl8_130 ),
    inference(resolution,[],[f1259,f290]) ).

fof(f6142,plain,
    ( spl8_308
    | ~ spl8_6
    | ~ spl8_126 ),
    inference(avatar_split_clause,[],[f1349,f1242,f293,f6140]) ).

fof(f6140,plain,
    ( spl8_308
  <=> ! [X0,X1] :
        ( member(X0,universal_class)
        | ~ member(X0,X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_308])]) ).

fof(f293,plain,
    ( spl8_6
  <=> ! [X0] : subclass(X0,universal_class) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_6])]) ).

fof(f1242,plain,
    ( spl8_126
  <=> ! [X0,X3,X2,X1] :
        ( member(X0,X1)
        | ~ subclass(union(X2,X3),X1)
        | ~ member(X0,X3) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_126])]) ).

fof(f1349,plain,
    ( ! [X0,X1] :
        ( member(X0,universal_class)
        | ~ member(X0,X1) )
    | ~ spl8_6
    | ~ spl8_126 ),
    inference(resolution,[],[f1243,f294]) ).

fof(f294,plain,
    ( ! [X0] : subclass(X0,universal_class)
    | ~ spl8_6 ),
    inference(avatar_component_clause,[],[f293]) ).

fof(f1243,plain,
    ( ! [X2,X3,X0,X1] :
        ( ~ subclass(union(X2,X3),X1)
        | member(X0,X1)
        | ~ member(X0,X3) )
    | ~ spl8_126 ),
    inference(avatar_component_clause,[],[f1242]) ).

fof(f6138,plain,
    ( spl8_307
    | ~ spl8_47
    | ~ spl8_294 ),
    inference(avatar_split_clause,[],[f6024,f5931,f530,f6136]) ).

fof(f6136,plain,
    ( spl8_307
  <=> ! [X0] : member(sK0,union(sK1,X0)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_307])]) ).

fof(f6024,plain,
    ( ! [X0] : member(sK0,union(sK1,X0))
    | ~ spl8_47
    | ~ spl8_294 ),
    inference(resolution,[],[f5932,f531]) ).

fof(f6134,plain,
    ( spl8_305
    | ~ spl8_306
    | ~ spl8_61
    | ~ spl8_100 ),
    inference(avatar_split_clause,[],[f922,f905,f635,f6131,f6128]) ).

fof(f6131,plain,
    ( spl8_306
  <=> subclass(universal_class,successor_relation) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_306])]) ).

fof(f635,plain,
    ( spl8_61
  <=> ! [X0,X1] :
        ( member(X0,universal_class)
        | ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),successor_relation) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_61])]) ).

fof(f922,plain,
    ( ! [X0] :
        ( ~ subclass(universal_class,successor_relation)
        | member(X0,universal_class) )
    | ~ spl8_61
    | ~ spl8_100 ),
    inference(resolution,[],[f906,f636]) ).

fof(f636,plain,
    ( ! [X0,X1] :
        ( ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),successor_relation)
        | member(X0,universal_class) )
    | ~ spl8_61 ),
    inference(avatar_component_clause,[],[f635]) ).

fof(f6126,plain,
    ( spl8_303
    | ~ spl8_304
    | ~ spl8_57
    | ~ spl8_100 ),
    inference(avatar_split_clause,[],[f920,f905,f618,f6123,f6120]) ).

fof(f6120,plain,
    ( spl8_303
  <=> ! [X0,X1] : member(X0,X1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_303])]) ).

fof(f6123,plain,
    ( spl8_304
  <=> subclass(universal_class,element_relation) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_304])]) ).

fof(f920,plain,
    ( ! [X0,X1] :
        ( ~ subclass(universal_class,element_relation)
        | member(X0,X1) )
    | ~ spl8_57
    | ~ spl8_100 ),
    inference(resolution,[],[f906,f619]) ).

fof(f6118,plain,
    ( spl8_302
    | ~ spl8_41
    | ~ spl8_42 ),
    inference(avatar_split_clause,[],[f841,f474,f470,f6116]) ).

fof(f6116,plain,
    ( spl8_302
  <=> ! [X0] :
        ( null_class = X0
        | ~ subclass(X0,null_class) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_302])]) ).

fof(f470,plain,
    ( spl8_41
  <=> ! [X0] : subclass(null_class,X0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_41])]) ).

fof(f474,plain,
    ( spl8_42
  <=> ! [X0,X1] :
        ( X0 = X1
        | ~ subclass(X1,X0)
        | ~ subclass(X0,X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_42])]) ).

fof(f841,plain,
    ( ! [X0] :
        ( null_class = X0
        | ~ subclass(X0,null_class) )
    | ~ spl8_41
    | ~ spl8_42 ),
    inference(resolution,[],[f471,f475]) ).

fof(f475,plain,
    ( ! [X0,X1] :
        ( ~ subclass(X1,X0)
        | X0 = X1
        | ~ subclass(X0,X1) )
    | ~ spl8_42 ),
    inference(avatar_component_clause,[],[f474]) ).

fof(f471,plain,
    ( ! [X0] : subclass(null_class,X0)
    | ~ spl8_41 ),
    inference(avatar_component_clause,[],[f470]) ).

fof(f6083,plain,
    ( spl8_301
    | spl8_31
    | ~ spl8_6
    | ~ spl8_101 ),
    inference(avatar_split_clause,[],[f952,f909,f293,f408,f6081]) ).

fof(f952,plain,
    ( ! [X0] :
        ( member(null_class,universal_class)
        | ~ inductive(X0) )
    | ~ spl8_6
    | ~ spl8_101 ),
    inference(resolution,[],[f910,f294]) ).

fof(f6079,plain,
    ( ~ spl8_90
    | ~ spl8_11
    | spl8_31 ),
    inference(avatar_split_clause,[],[f6078,f408,f316,f854]) ).

fof(f6078,plain,
    ( ~ inductive(universal_class)
    | ~ spl8_11
    | spl8_31 ),
    inference(resolution,[],[f409,f317]) ).

fof(f409,plain,
    ( ~ member(null_class,universal_class)
    | spl8_31 ),
    inference(avatar_component_clause,[],[f408]) ).

fof(f6076,plain,
    ( spl8_300
    | ~ spl8_31
    | ~ spl8_44 ),
    inference(avatar_split_clause,[],[f509,f482,f408,f6074]) ).

fof(f6074,plain,
    ( spl8_300
  <=> ! [X0] :
        ( member(null_class,X0)
        | ~ subclass(universal_class,X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_300])]) ).

fof(f509,plain,
    ( ! [X0] :
        ( member(null_class,X0)
        | ~ subclass(universal_class,X0) )
    | ~ spl8_31
    | ~ spl8_44 ),
    inference(resolution,[],[f483,f410]) ).

fof(f410,plain,
    ( member(null_class,universal_class)
    | ~ spl8_31 ),
    inference(avatar_component_clause,[],[f408]) ).

fof(f6070,plain,
    ( spl8_298
    | ~ spl8_299
    | ~ spl8_80
    | ~ spl8_193 ),
    inference(avatar_split_clause,[],[f2827,f2680,f795,f6067,f6064]) ).

fof(f6064,plain,
    ( spl8_298
  <=> ! [X0,X1] :
        ( member(X0,sum_class(domain_of(X1)))
        | ~ member(X0,sK0)
        | null_class = intersection(X1,cross_product(unordered_pair(sum_class(sK1),sum_class(sK1)),universal_class)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_298])]) ).

fof(f2680,plain,
    ( spl8_193
  <=> ! [X2,X0,X1] :
        ( null_class = intersection(X0,cross_product(unordered_pair(X1,X1),universal_class))
        | ~ member(X1,universal_class)
        | member(X2,sum_class(domain_of(X0)))
        | ~ member(X2,X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_193])]) ).

fof(f2827,plain,
    ( ! [X0,X1] :
        ( ~ member(sum_class(sK1),universal_class)
        | member(X0,sum_class(domain_of(X1)))
        | null_class = intersection(X1,cross_product(unordered_pair(sum_class(sK1),sum_class(sK1)),universal_class))
        | ~ member(X0,sK0) )
    | ~ spl8_80
    | ~ spl8_193 ),
    inference(resolution,[],[f2681,f796]) ).

fof(f2681,plain,
    ( ! [X2,X0,X1] :
        ( ~ member(X2,X1)
        | ~ member(X1,universal_class)
        | member(X2,sum_class(domain_of(X0)))
        | null_class = intersection(X0,cross_product(unordered_pair(X1,X1),universal_class)) )
    | ~ spl8_193 ),
    inference(avatar_component_clause,[],[f2680]) ).

fof(f6049,plain,
    ( spl8_297
    | ~ spl8_80
    | ~ spl8_183 ),
    inference(avatar_split_clause,[],[f2498,f2462,f795,f6047]) ).

fof(f6047,plain,
    ( spl8_297
  <=> ! [X0,X1] :
        ( ~ member(sK4(X0,intersection(X1,sum_class(sK1))),X1)
        | subclass(X0,intersection(X1,sum_class(sK1)))
        | ~ member(sK4(X0,intersection(X1,sum_class(sK1))),sK0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_297])]) ).

fof(f2462,plain,
    ( spl8_183
  <=> ! [X2,X0,X1] :
        ( ~ member(sK4(X0,intersection(X1,X2)),X2)
        | ~ member(sK4(X0,intersection(X1,X2)),X1)
        | subclass(X0,intersection(X1,X2)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_183])]) ).

fof(f2498,plain,
    ( ! [X0,X1] :
        ( ~ member(sK4(X0,intersection(X1,sum_class(sK1))),X1)
        | subclass(X0,intersection(X1,sum_class(sK1)))
        | ~ member(sK4(X0,intersection(X1,sum_class(sK1))),sK0) )
    | ~ spl8_80
    | ~ spl8_183 ),
    inference(resolution,[],[f2463,f796]) ).

fof(f2463,plain,
    ( ! [X2,X0,X1] :
        ( ~ member(sK4(X0,intersection(X1,X2)),X2)
        | ~ member(sK4(X0,intersection(X1,X2)),X1)
        | subclass(X0,intersection(X1,X2)) )
    | ~ spl8_183 ),
    inference(avatar_component_clause,[],[f2462]) ).

fof(f6001,plain,
    ( ~ spl8_296
    | ~ spl8_80
    | spl8_278 ),
    inference(avatar_split_clause,[],[f5686,f5351,f795,f5998]) ).

fof(f5998,plain,
    ( spl8_296
  <=> member(sK0,sK0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_296])]) ).

fof(f5351,plain,
    ( spl8_278
  <=> member(sK0,sum_class(sK1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_278])]) ).

fof(f5686,plain,
    ( ~ member(sK0,sK0)
    | ~ spl8_80
    | spl8_278 ),
    inference(resolution,[],[f5352,f796]) ).

fof(f5352,plain,
    ( ~ member(sK0,sum_class(sK1))
    | spl8_278 ),
    inference(avatar_component_clause,[],[f5351]) ).

fof(f5937,plain,
    ( spl8_295
    | ~ spl8_32
    | ~ spl8_146 ),
    inference(avatar_split_clause,[],[f1650,f1504,f413,f5935]) ).

fof(f1650,plain,
    ( ! [X0,X1] : subclass(X0,union(X1,X0))
    | ~ spl8_32
    | ~ spl8_146 ),
    inference(duplicate_literal_removal,[],[f1628]) ).

fof(f1628,plain,
    ( ! [X0,X1] :
        ( subclass(X0,union(X1,X0))
        | subclass(X0,union(X1,X0)) )
    | ~ spl8_32
    | ~ spl8_146 ),
    inference(resolution,[],[f1505,f414]) ).

fof(f5933,plain,
    ( spl8_294
    | ~ spl8_32
    | ~ spl8_145 ),
    inference(avatar_split_clause,[],[f1627,f1500,f413,f5931]) ).

fof(f1627,plain,
    ( ! [X0,X1] : subclass(X0,union(X0,X1))
    | ~ spl8_32
    | ~ spl8_145 ),
    inference(duplicate_literal_removal,[],[f1605]) ).

fof(f1605,plain,
    ( ! [X0,X1] :
        ( subclass(X0,union(X0,X1))
        | subclass(X0,union(X0,X1)) )
    | ~ spl8_32
    | ~ spl8_145 ),
    inference(resolution,[],[f1501,f414]) ).

fof(f5929,plain,
    ( spl8_293
    | ~ spl8_33
    | ~ spl8_144 ),
    inference(avatar_split_clause,[],[f1601,f1496,f417,f5927]) ).

fof(f5927,plain,
    ( spl8_293
  <=> ! [X0,X1] : subclass(intersection(X0,X1),X1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_293])]) ).

fof(f1601,plain,
    ( ! [X0,X1] : subclass(intersection(X0,X1),X1)
    | ~ spl8_33
    | ~ spl8_144 ),
    inference(duplicate_literal_removal,[],[f1576]) ).

fof(f1576,plain,
    ( ! [X0,X1] :
        ( subclass(intersection(X0,X1),X1)
        | subclass(intersection(X0,X1),X1) )
    | ~ spl8_33
    | ~ spl8_144 ),
    inference(resolution,[],[f1497,f418]) ).

fof(f5925,plain,
    ( spl8_292
    | ~ spl8_33
    | ~ spl8_143 ),
    inference(avatar_split_clause,[],[f1572,f1492,f417,f5923]) ).

fof(f5923,plain,
    ( spl8_292
  <=> ! [X0,X1] : subclass(intersection(X0,X1),X0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_292])]) ).

fof(f1572,plain,
    ( ! [X0,X1] : subclass(intersection(X0,X1),X0)
    | ~ spl8_33
    | ~ spl8_143 ),
    inference(duplicate_literal_removal,[],[f1547]) ).

fof(f1547,plain,
    ( ! [X0,X1] :
        ( subclass(intersection(X0,X1),X0)
        | subclass(intersection(X0,X1),X0) )
    | ~ spl8_33
    | ~ spl8_143 ),
    inference(resolution,[],[f1493,f418]) ).

fof(f5921,plain,
    ( spl8_291
    | ~ spl8_5
    | ~ spl8_125 ),
    inference(avatar_split_clause,[],[f1339,f1238,f289,f5919]) ).

fof(f5919,plain,
    ( spl8_291
  <=> ! [X0] : null_class = intersection(X0,null_class) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_291])]) ).

fof(f1238,plain,
    ( spl8_125
  <=> ! [X0,X1] :
        ( member(sK2(intersection(X0,X1)),X1)
        | intersection(X0,X1) = null_class ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_125])]) ).

fof(f1339,plain,
    ( ! [X0] : null_class = intersection(X0,null_class)
    | ~ spl8_5
    | ~ spl8_125 ),
    inference(resolution,[],[f1239,f290]) ).

fof(f1239,plain,
    ( ! [X0,X1] :
        ( member(sK2(intersection(X0,X1)),X1)
        | intersection(X0,X1) = null_class )
    | ~ spl8_125 ),
    inference(avatar_component_clause,[],[f1238]) ).

fof(f5917,plain,
    ( spl8_290
    | ~ spl8_5
    | ~ spl8_124 ),
    inference(avatar_split_clause,[],[f1317,f1234,f289,f5915]) ).

fof(f5915,plain,
    ( spl8_290
  <=> ! [X0] : null_class = intersection(null_class,X0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_290])]) ).

fof(f1234,plain,
    ( spl8_124
  <=> ! [X0,X1] :
        ( member(sK2(intersection(X0,X1)),X0)
        | intersection(X0,X1) = null_class ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_124])]) ).

fof(f1317,plain,
    ( ! [X0] : null_class = intersection(null_class,X0)
    | ~ spl8_5
    | ~ spl8_124 ),
    inference(resolution,[],[f1235,f290]) ).

fof(f1235,plain,
    ( ! [X0,X1] :
        ( member(sK2(intersection(X0,X1)),X0)
        | intersection(X0,X1) = null_class )
    | ~ spl8_124 ),
    inference(avatar_component_clause,[],[f1234]) ).

fof(f5894,plain,
    ( spl8_288
    | ~ spl8_289
    | ~ spl8_1
    | ~ spl8_193 ),
    inference(avatar_split_clause,[],[f2846,f2680,f269,f5891,f5888]) ).

fof(f5888,plain,
    ( spl8_288
  <=> ! [X0] :
        ( member(sK0,sum_class(domain_of(X0)))
        | null_class = intersection(X0,cross_product(unordered_pair(sK1,sK1),universal_class)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_288])]) ).

fof(f2846,plain,
    ( ! [X0] :
        ( ~ member(sK1,universal_class)
        | member(sK0,sum_class(domain_of(X0)))
        | null_class = intersection(X0,cross_product(unordered_pair(sK1,sK1),universal_class)) )
    | ~ spl8_1
    | ~ spl8_193 ),
    inference(resolution,[],[f2681,f271]) ).

fof(f271,plain,
    ( member(sK0,sK1)
    | ~ spl8_1 ),
    inference(avatar_component_clause,[],[f269]) ).

fof(f5886,plain,
    ( spl8_287
    | ~ spl8_80
    | ~ spl8_169 ),
    inference(avatar_split_clause,[],[f2091,f2065,f795,f5884]) ).

fof(f5884,plain,
    ( spl8_287
  <=> ! [X2,X0,X1] :
        ( ~ member(sum_class(sK1),X0)
        | member(X1,sum_class(intersection(X0,X2)))
        | ~ member(sum_class(sK1),X2)
        | ~ member(X1,sK0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_287])]) ).

fof(f2065,plain,
    ( spl8_169
  <=> ! [X0,X3,X2,X1] :
        ( ~ member(X0,X1)
        | ~ member(X0,X2)
        | member(X3,sum_class(intersection(X2,X1)))
        | ~ member(X3,X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_169])]) ).

fof(f2091,plain,
    ( ! [X2,X0,X1] :
        ( ~ member(sum_class(sK1),X0)
        | member(X1,sum_class(intersection(X0,X2)))
        | ~ member(sum_class(sK1),X2)
        | ~ member(X1,sK0) )
    | ~ spl8_80
    | ~ spl8_169 ),
    inference(resolution,[],[f2066,f796]) ).

fof(f2066,plain,
    ( ! [X2,X3,X0,X1] :
        ( ~ member(X3,X0)
        | ~ member(X0,X2)
        | member(X3,sum_class(intersection(X2,X1)))
        | ~ member(X0,X1) )
    | ~ spl8_169 ),
    inference(avatar_component_clause,[],[f2065]) ).

fof(f5495,plain,
    ( spl8_286
    | ~ spl8_222
    | ~ spl8_225 ),
    inference(avatar_split_clause,[],[f3721,f3718,f3692,f5493]) ).

fof(f3721,plain,
    ( ! [X0] :
        ( complement(X0) = identity_relation
        | ~ member(complement(X0),universal_class)
        | ~ member(sum_class(domain_of(domain_of(flip(cross_product(intersection(sK6,cross_product(unordered_pair(complement(X0),complement(X0)),universal_class)),universal_class))))),X0) )
    | ~ spl8_222
    | ~ spl8_225 ),
    inference(forward_demodulation,[],[f3719,f3694]) ).

fof(f5479,plain,
    ( spl8_285
    | ~ spl8_12
    | ~ spl8_223 ),
    inference(avatar_split_clause,[],[f4033,f3696,f320,f5476]) ).

fof(f5476,plain,
    ( spl8_285
  <=> member(sK2(identity_relation),universal_class) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_285])]) ).

fof(f4033,plain,
    ( member(sK2(identity_relation),universal_class)
    | ~ spl8_12
    | ~ spl8_223 ),
    inference(superposition,[],[f321,f3698]) ).

fof(f5474,plain,
    ( spl8_284
    | ~ spl8_14
    | ~ spl8_102 ),
    inference(avatar_split_clause,[],[f985,f965,f329,f5471]) ).

fof(f985,plain,
    ( null_class = complement(universal_class)
    | ~ spl8_14
    | ~ spl8_102 ),
    inference(duplicate_literal_removal,[],[f976]) ).

fof(f976,plain,
    ( null_class = complement(universal_class)
    | null_class = complement(universal_class)
    | ~ spl8_14
    | ~ spl8_102 ),
    inference(resolution,[],[f966,f330]) ).

fof(f5469,plain,
    ( spl8_283
    | ~ spl8_15
    | ~ spl8_89 ),
    inference(avatar_split_clause,[],[f848,f843,f333,f5466]) ).

fof(f5466,plain,
    ( spl8_283
  <=> null_class = sum_class(null_class) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_283])]) ).

fof(f843,plain,
    ( spl8_89
  <=> ! [X0] : ~ member(X0,sum_class(null_class)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_89])]) ).

fof(f848,plain,
    ( null_class = sum_class(null_class)
    | ~ spl8_15
    | ~ spl8_89 ),
    inference(resolution,[],[f844,f334]) ).

fof(f844,plain,
    ( ! [X0] : ~ member(X0,sum_class(null_class))
    | ~ spl8_89 ),
    inference(avatar_component_clause,[],[f843]) ).

fof(f5440,plain,
    ( spl8_282
    | ~ spl8_80
    | ~ spl8_146 ),
    inference(avatar_split_clause,[],[f1640,f1504,f795,f5438]) ).

fof(f1640,plain,
    ( ! [X0,X1] :
        ( subclass(X0,union(X1,sum_class(sK1)))
        | ~ member(sK4(X0,union(X1,sum_class(sK1))),sK0) )
    | ~ spl8_80
    | ~ spl8_146 ),
    inference(resolution,[],[f1505,f796]) ).

fof(f5436,plain,
    ( spl8_281
    | ~ spl8_80
    | ~ spl8_145 ),
    inference(avatar_split_clause,[],[f1617,f1500,f795,f5434]) ).

fof(f1617,plain,
    ( ! [X0,X1] :
        ( subclass(X0,union(sum_class(sK1),X1))
        | ~ member(sK4(X0,union(sum_class(sK1),X1)),sK0) )
    | ~ spl8_80
    | ~ spl8_145 ),
    inference(resolution,[],[f1501,f796]) ).

fof(f5362,plain,
    ( spl8_280
    | ~ spl8_80
    | ~ spl8_154 ),
    inference(avatar_split_clause,[],[f1777,f1540,f795,f5360]) ).

fof(f5360,plain,
    ( spl8_280
  <=> ! [X2,X0,X1] :
        ( ~ member(X0,X1)
        | member(X0,sum_class(union(sum_class(sK1),X2)))
        | ~ member(X1,sK0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_280])]) ).

fof(f1777,plain,
    ( ! [X2,X0,X1] :
        ( ~ member(X0,X1)
        | member(X0,sum_class(union(sum_class(sK1),X2)))
        | ~ member(X1,sK0) )
    | ~ spl8_80
    | ~ spl8_154 ),
    inference(resolution,[],[f1541,f796]) ).

fof(f5358,plain,
    ( spl8_278
    | ~ spl8_279
    | ~ spl8_47
    | ~ spl8_236 ),
    inference(avatar_split_clause,[],[f4499,f4214,f530,f5355,f5351]) ).

fof(f5355,plain,
    ( spl8_279
  <=> subclass(sK1,sK0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_279])]) ).

fof(f4214,plain,
    ( spl8_236
  <=> ! [X0] :
        ( subclass(X0,sum_class(sK1))
        | ~ subclass(X0,sK0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_236])]) ).

fof(f4499,plain,
    ( ~ subclass(sK1,sK0)
    | member(sK0,sum_class(sK1))
    | ~ spl8_47
    | ~ spl8_236 ),
    inference(resolution,[],[f4215,f531]) ).

fof(f4215,plain,
    ( ! [X0] :
        ( subclass(X0,sum_class(sK1))
        | ~ subclass(X0,sK0) )
    | ~ spl8_236 ),
    inference(avatar_component_clause,[],[f4214]) ).

fof(f5349,plain,
    ( spl8_277
    | ~ spl8_80
    | ~ spl8_153 ),
    inference(avatar_split_clause,[],[f1725,f1536,f795,f5347]) ).

fof(f5347,plain,
    ( spl8_277
  <=> ! [X2,X0,X1] :
        ( ~ member(X0,X1)
        | member(X0,sum_class(union(X2,sum_class(sK1))))
        | ~ member(X1,sK0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_277])]) ).

fof(f1725,plain,
    ( ! [X2,X0,X1] :
        ( ~ member(X0,X1)
        | member(X0,sum_class(union(X2,sum_class(sK1))))
        | ~ member(X1,sK0) )
    | ~ spl8_80
    | ~ spl8_153 ),
    inference(resolution,[],[f1537,f796]) ).

fof(f5345,plain,
    ( spl8_276
    | ~ spl8_80
    | ~ spl8_131 ),
    inference(avatar_split_clause,[],[f1392,f1262,f795,f5343]) ).

fof(f5343,plain,
    ( spl8_276
  <=> ! [X0] :
        ( ~ member(X0,sum_class(complement(sum_class(sK1))))
        | ~ member(sK5(X0,complement(sum_class(sK1))),sK0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_276])]) ).

fof(f1392,plain,
    ( ! [X0] :
        ( ~ member(X0,sum_class(complement(sum_class(sK1))))
        | ~ member(sK5(X0,complement(sum_class(sK1))),sK0) )
    | ~ spl8_80
    | ~ spl8_131 ),
    inference(resolution,[],[f1263,f796]) ).

fof(f5341,plain,
    ( ~ spl8_275
    | ~ spl8_5
    | ~ spl8_100 ),
    inference(avatar_split_clause,[],[f943,f905,f289,f5338]) ).

fof(f5338,plain,
    ( spl8_275
  <=> subclass(universal_class,null_class) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_275])]) ).

fof(f943,plain,
    ( ~ subclass(universal_class,null_class)
    | ~ spl8_5
    | ~ spl8_100 ),
    inference(resolution,[],[f906,f290]) ).

fof(f5335,plain,
    ( ~ spl8_274
    | ~ spl8_11
    | ~ spl8_89 ),
    inference(avatar_split_clause,[],[f846,f843,f316,f5332]) ).

fof(f5332,plain,
    ( spl8_274
  <=> inductive(sum_class(null_class)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_274])]) ).

fof(f846,plain,
    ( ~ inductive(sum_class(null_class))
    | ~ spl8_11
    | ~ spl8_89 ),
    inference(resolution,[],[f844,f317]) ).

fof(f5319,plain,
    ( spl8_273
    | ~ spl8_1
    | ~ spl8_169 ),
    inference(avatar_split_clause,[],[f2109,f2065,f269,f5317]) ).

fof(f5317,plain,
    ( spl8_273
  <=> ! [X0,X1] :
        ( ~ member(sK1,X0)
        | member(sK0,sum_class(intersection(X0,X1)))
        | ~ member(sK1,X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_273])]) ).

fof(f2109,plain,
    ( ! [X0,X1] :
        ( ~ member(sK1,X0)
        | member(sK0,sum_class(intersection(X0,X1)))
        | ~ member(sK1,X1) )
    | ~ spl8_1
    | ~ spl8_169 ),
    inference(resolution,[],[f2066,f271]) ).

fof(f5315,plain,
    ( spl8_272
    | ~ spl8_80
    | ~ spl8_105 ),
    inference(avatar_split_clause,[],[f1080,f998,f795,f5313]) ).

fof(f5313,plain,
    ( spl8_272
  <=> ! [X0] :
        ( subclass(complement(sum_class(sK1)),X0)
        | ~ member(sK4(complement(sum_class(sK1)),X0),sK0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_272])]) ).

fof(f1080,plain,
    ( ! [X0] :
        ( subclass(complement(sum_class(sK1)),X0)
        | ~ member(sK4(complement(sum_class(sK1)),X0),sK0) )
    | ~ spl8_80
    | ~ spl8_105 ),
    inference(resolution,[],[f999,f796]) ).

fof(f5227,plain,
    ( ~ spl8_270
    | spl8_271
    | ~ spl8_80
    | ~ spl8_102 ),
    inference(avatar_split_clause,[],[f982,f965,f795,f5224,f5220]) ).

fof(f5220,plain,
    ( spl8_270
  <=> member(sK2(complement(sum_class(sK1))),sK0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_270])]) ).

fof(f982,plain,
    ( null_class = complement(sum_class(sK1))
    | ~ member(sK2(complement(sum_class(sK1))),sK0)
    | ~ spl8_80
    | ~ spl8_102 ),
    inference(resolution,[],[f966,f796]) ).

fof(f5218,plain,
    ( spl8_269
    | ~ spl8_50
    | ~ spl8_80 ),
    inference(avatar_split_clause,[],[f828,f795,f542,f5216]) ).

fof(f5216,plain,
    ( spl8_269
  <=> ! [X0,X1] :
        ( ~ member(X0,sK0)
        | member(X1,sum_class(sum_class(sK1)))
        | ~ member(X1,X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_269])]) ).

fof(f828,plain,
    ( ! [X0,X1] :
        ( ~ member(X0,sK0)
        | member(X1,sum_class(sum_class(sK1)))
        | ~ member(X1,X0) )
    | ~ spl8_50
    | ~ spl8_80 ),
    inference(resolution,[],[f796,f543]) ).

fof(f5178,plain,
    ( spl8_268
    | ~ spl8_1
    | ~ spl8_154 ),
    inference(avatar_split_clause,[],[f1798,f1540,f269,f5176]) ).

fof(f5176,plain,
    ( spl8_268
  <=> ! [X0,X1] :
        ( ~ member(X0,sK0)
        | member(X0,sum_class(union(sK1,X1))) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_268])]) ).

fof(f1798,plain,
    ( ! [X0,X1] :
        ( ~ member(X0,sK0)
        | member(X0,sum_class(union(sK1,X1))) )
    | ~ spl8_1
    | ~ spl8_154 ),
    inference(resolution,[],[f1541,f271]) ).

fof(f5174,plain,
    ( spl8_267
    | ~ spl8_1
    | ~ spl8_153 ),
    inference(avatar_split_clause,[],[f1746,f1536,f269,f5172]) ).

fof(f5172,plain,
    ( spl8_267
  <=> ! [X0,X1] :
        ( ~ member(X0,sK0)
        | member(X0,sum_class(union(X1,sK1))) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_267])]) ).

fof(f1746,plain,
    ( ! [X0,X1] :
        ( ~ member(X0,sK0)
        | member(X0,sum_class(union(X1,sK1))) )
    | ~ spl8_1
    | ~ spl8_153 ),
    inference(resolution,[],[f1537,f271]) ).

fof(f5159,plain,
    ( spl8_266
    | ~ spl8_78
    | ~ spl8_82 ),
    inference(avatar_split_clause,[],[f808,f803,f760,f5157]) ).

fof(f5157,plain,
    ( spl8_266
  <=> ! [X2,X0,X1] :
        ( member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(sum_class(domain_of(domain_of(flip(cross_product(intersection(sK6,cross_product(unordered_pair(domain_of(domain_of(flip(cross_product(intersection(X1,cross_product(domain_of(domain_of(flip(cross_product(intersection(X2,cross_product(unordered_pair(X0,X0),universal_class)),universal_class)))),universal_class)),universal_class)))),domain_of(domain_of(flip(cross_product(intersection(X1,cross_product(domain_of(domain_of(flip(cross_product(intersection(X2,cross_product(unordered_pair(X0,X0),universal_class)),universal_class)))),universal_class)),universal_class))))),universal_class)),universal_class))))),sum_class(domain_of(domain_of(flip(cross_product(intersection(sK6,cross_product(unordered_pair(domain_of(domain_of(flip(cross_product(intersection(X1,cross_product(domain_of(domain_of(flip(cross_product(intersection(X2,cross_product(unordered_pair(X0,X0),universal_class)),universal_class)))),universal_class)),universal_class)))),domain_of(domain_of(flip(cross_product(intersection(X1,cross_product(domain_of(domain_of(flip(cross_product(intersection(X2,cross_product(unordered_pair(X0,X0),universal_class)),universal_class)))),universal_class)),universal_class))))),universal_class)),universal_class)))))))),compose(X1,X2))
        | ~ member(X0,universal_class)
        | null_class = domain_of(domain_of(flip(cross_product(intersection(X1,cross_product(domain_of(domain_of(flip(cross_product(intersection(X2,cross_product(unordered_pair(X0,X0),universal_class)),universal_class)))),universal_class)),universal_class))))
        | ~ member(domain_of(domain_of(flip(cross_product(intersection(X1,cross_product(domain_of(domain_of(flip(cross_product(intersection(X2,cross_product(unordered_pair(X0,X0),universal_class)),universal_class)))),universal_class)),universal_class)))),universal_class) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_266])]) ).

fof(f803,plain,
    ( spl8_82
  <=> ! [X0,X3,X2,X1] :
        ( member(unordered_pair(unordered_pair(X2,X2),unordered_pair(X2,unordered_pair(X3,X3))),compose(X1,X0))
        | ~ member(X3,domain_of(domain_of(flip(cross_product(intersection(X1,cross_product(domain_of(domain_of(flip(cross_product(intersection(X0,cross_product(unordered_pair(X2,X2),universal_class)),universal_class)))),universal_class)),universal_class)))))
        | ~ member(X2,universal_class) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_82])]) ).

fof(f808,plain,
    ( ! [X2,X0,X1] :
        ( member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(sum_class(domain_of(domain_of(flip(cross_product(intersection(sK6,cross_product(unordered_pair(domain_of(domain_of(flip(cross_product(intersection(X1,cross_product(domain_of(domain_of(flip(cross_product(intersection(X2,cross_product(unordered_pair(X0,X0),universal_class)),universal_class)))),universal_class)),universal_class)))),domain_of(domain_of(flip(cross_product(intersection(X1,cross_product(domain_of(domain_of(flip(cross_product(intersection(X2,cross_product(unordered_pair(X0,X0),universal_class)),universal_class)))),universal_class)),universal_class))))),universal_class)),universal_class))))),sum_class(domain_of(domain_of(flip(cross_product(intersection(sK6,cross_product(unordered_pair(domain_of(domain_of(flip(cross_product(intersection(X1,cross_product(domain_of(domain_of(flip(cross_product(intersection(X2,cross_product(unordered_pair(X0,X0),universal_class)),universal_class)))),universal_class)),universal_class)))),domain_of(domain_of(flip(cross_product(intersection(X1,cross_product(domain_of(domain_of(flip(cross_product(intersection(X2,cross_product(unordered_pair(X0,X0),universal_class)),universal_class)))),universal_class)),universal_class))))),universal_class)),universal_class)))))))),compose(X1,X2))
        | ~ member(X0,universal_class)
        | null_class = domain_of(domain_of(flip(cross_product(intersection(X1,cross_product(domain_of(domain_of(flip(cross_product(intersection(X2,cross_product(unordered_pair(X0,X0),universal_class)),universal_class)))),universal_class)),universal_class))))
        | ~ member(domain_of(domain_of(flip(cross_product(intersection(X1,cross_product(domain_of(domain_of(flip(cross_product(intersection(X2,cross_product(unordered_pair(X0,X0),universal_class)),universal_class)))),universal_class)),universal_class)))),universal_class) )
    | ~ spl8_78
    | ~ spl8_82 ),
    inference(resolution,[],[f804,f761]) ).

fof(f804,plain,
    ( ! [X2,X3,X0,X1] :
        ( ~ member(X3,domain_of(domain_of(flip(cross_product(intersection(X1,cross_product(domain_of(domain_of(flip(cross_product(intersection(X0,cross_product(unordered_pair(X2,X2),universal_class)),universal_class)))),universal_class)),universal_class)))))
        | member(unordered_pair(unordered_pair(X2,X2),unordered_pair(X2,unordered_pair(X3,X3))),compose(X1,X0))
        | ~ member(X2,universal_class) )
    | ~ spl8_82 ),
    inference(avatar_component_clause,[],[f803]) ).

fof(f5155,plain,
    ( ~ spl8_265
    | ~ spl8_80
    | spl8_248 ),
    inference(avatar_split_clause,[],[f5053,f4621,f795,f5152]) ).

fof(f5152,plain,
    ( spl8_265
  <=> member(sK7,sK0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_265])]) ).

fof(f4621,plain,
    ( spl8_248
  <=> member(sK7,sum_class(sK1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_248])]) ).

fof(f5053,plain,
    ( ~ member(sK7,sK0)
    | ~ spl8_80
    | spl8_248 ),
    inference(resolution,[],[f4622,f796]) ).

fof(f4622,plain,
    ( ~ member(sK7,sum_class(sK1))
    | spl8_248 ),
    inference(avatar_component_clause,[],[f4621]) ).

fof(f5150,plain,
    ( spl8_264
    | ~ spl8_77
    | ~ spl8_78 ),
    inference(avatar_split_clause,[],[f774,f760,f756,f5148]) ).

fof(f5148,plain,
    ( spl8_264
  <=> ! [X0,X1] :
        ( cross_product(X0,X1) = null_class
        | ~ member(cross_product(X0,X1),universal_class)
        | sum_class(domain_of(domain_of(flip(cross_product(intersection(sK6,cross_product(unordered_pair(cross_product(X0,X1),cross_product(X0,X1)),universal_class)),universal_class))))) = unordered_pair(unordered_pair(first(sum_class(domain_of(domain_of(flip(cross_product(intersection(sK6,cross_product(unordered_pair(cross_product(X0,X1),cross_product(X0,X1)),universal_class)),universal_class)))))),first(sum_class(domain_of(domain_of(flip(cross_product(intersection(sK6,cross_product(unordered_pair(cross_product(X0,X1),cross_product(X0,X1)),universal_class)),universal_class))))))),unordered_pair(first(sum_class(domain_of(domain_of(flip(cross_product(intersection(sK6,cross_product(unordered_pair(cross_product(X0,X1),cross_product(X0,X1)),universal_class)),universal_class)))))),unordered_pair(second(sum_class(domain_of(domain_of(flip(cross_product(intersection(sK6,cross_product(unordered_pair(cross_product(X0,X1),cross_product(X0,X1)),universal_class)),universal_class)))))),second(sum_class(domain_of(domain_of(flip(cross_product(intersection(sK6,cross_product(unordered_pair(cross_product(X0,X1),cross_product(X0,X1)),universal_class)),universal_class))))))))) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_264])]) ).

fof(f756,plain,
    ( spl8_77
  <=> ! [X2,X0,X1] :
        ( unordered_pair(unordered_pair(first(X2),first(X2)),unordered_pair(first(X2),unordered_pair(second(X2),second(X2)))) = X2
        | ~ member(X2,cross_product(X0,X1)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_77])]) ).

fof(f774,plain,
    ( ! [X0,X1] :
        ( cross_product(X0,X1) = null_class
        | ~ member(cross_product(X0,X1),universal_class)
        | sum_class(domain_of(domain_of(flip(cross_product(intersection(sK6,cross_product(unordered_pair(cross_product(X0,X1),cross_product(X0,X1)),universal_class)),universal_class))))) = unordered_pair(unordered_pair(first(sum_class(domain_of(domain_of(flip(cross_product(intersection(sK6,cross_product(unordered_pair(cross_product(X0,X1),cross_product(X0,X1)),universal_class)),universal_class)))))),first(sum_class(domain_of(domain_of(flip(cross_product(intersection(sK6,cross_product(unordered_pair(cross_product(X0,X1),cross_product(X0,X1)),universal_class)),universal_class))))))),unordered_pair(first(sum_class(domain_of(domain_of(flip(cross_product(intersection(sK6,cross_product(unordered_pair(cross_product(X0,X1),cross_product(X0,X1)),universal_class)),universal_class)))))),unordered_pair(second(sum_class(domain_of(domain_of(flip(cross_product(intersection(sK6,cross_product(unordered_pair(cross_product(X0,X1),cross_product(X0,X1)),universal_class)),universal_class)))))),second(sum_class(domain_of(domain_of(flip(cross_product(intersection(sK6,cross_product(unordered_pair(cross_product(X0,X1),cross_product(X0,X1)),universal_class)),universal_class))))))))) )
    | ~ spl8_77
    | ~ spl8_78 ),
    inference(resolution,[],[f761,f757]) ).

fof(f757,plain,
    ( ! [X2,X0,X1] :
        ( ~ member(X2,cross_product(X0,X1))
        | unordered_pair(unordered_pair(first(X2),first(X2)),unordered_pair(first(X2),unordered_pair(second(X2),second(X2)))) = X2 )
    | ~ spl8_77 ),
    inference(avatar_component_clause,[],[f756]) ).

fof(f5146,plain,
    ( spl8_262
    | ~ spl8_263
    | spl8_222
    | ~ spl8_75
    | ~ spl8_78 ),
    inference(avatar_split_clause,[],[f784,f760,f739,f3692,f5143,f5139]) ).

fof(f5139,plain,
    ( spl8_262
  <=> sum_class(domain_of(domain_of(flip(cross_product(intersection(sK6,cross_product(unordered_pair(identity_relation,identity_relation),universal_class)),universal_class))))) = unordered_pair(unordered_pair(sK3(sum_class(domain_of(domain_of(flip(cross_product(intersection(sK6,cross_product(unordered_pair(identity_relation,identity_relation),universal_class)),universal_class)))))),sK3(sum_class(domain_of(domain_of(flip(cross_product(intersection(sK6,cross_product(unordered_pair(identity_relation,identity_relation),universal_class)),universal_class))))))),unordered_pair(sK3(sum_class(domain_of(domain_of(flip(cross_product(intersection(sK6,cross_product(unordered_pair(identity_relation,identity_relation),universal_class)),universal_class)))))),unordered_pair(sK3(sum_class(domain_of(domain_of(flip(cross_product(intersection(sK6,cross_product(unordered_pair(identity_relation,identity_relation),universal_class)),universal_class)))))),sK3(sum_class(domain_of(domain_of(flip(cross_product(intersection(sK6,cross_product(unordered_pair(identity_relation,identity_relation),universal_class)),universal_class))))))))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_262])]) ).

fof(f739,plain,
    ( spl8_75
  <=> ! [X0] :
        ( unordered_pair(unordered_pair(sK3(X0),sK3(X0)),unordered_pair(sK3(X0),unordered_pair(sK3(X0),sK3(X0)))) = X0
        | ~ member(X0,identity_relation) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_75])]) ).

fof(f784,plain,
    ( null_class = identity_relation
    | ~ member(identity_relation,universal_class)
    | sum_class(domain_of(domain_of(flip(cross_product(intersection(sK6,cross_product(unordered_pair(identity_relation,identity_relation),universal_class)),universal_class))))) = unordered_pair(unordered_pair(sK3(sum_class(domain_of(domain_of(flip(cross_product(intersection(sK6,cross_product(unordered_pair(identity_relation,identity_relation),universal_class)),universal_class)))))),sK3(sum_class(domain_of(domain_of(flip(cross_product(intersection(sK6,cross_product(unordered_pair(identity_relation,identity_relation),universal_class)),universal_class))))))),unordered_pair(sK3(sum_class(domain_of(domain_of(flip(cross_product(intersection(sK6,cross_product(unordered_pair(identity_relation,identity_relation),universal_class)),universal_class)))))),unordered_pair(sK3(sum_class(domain_of(domain_of(flip(cross_product(intersection(sK6,cross_product(unordered_pair(identity_relation,identity_relation),universal_class)),universal_class)))))),sK3(sum_class(domain_of(domain_of(flip(cross_product(intersection(sK6,cross_product(unordered_pair(identity_relation,identity_relation),universal_class)),universal_class)))))))))
    | ~ spl8_75
    | ~ spl8_78 ),
    inference(resolution,[],[f761,f740]) ).

fof(f740,plain,
    ( ! [X0] :
        ( ~ member(X0,identity_relation)
        | unordered_pair(unordered_pair(sK3(X0),sK3(X0)),unordered_pair(sK3(X0),unordered_pair(sK3(X0),sK3(X0)))) = X0 )
    | ~ spl8_75 ),
    inference(avatar_component_clause,[],[f739]) ).

fof(f5070,plain,
    ( spl8_261
    | ~ spl8_76
    | ~ spl8_88 ),
    inference(avatar_split_clause,[],[f840,f836,f743,f5068]) ).

fof(f5068,plain,
    ( spl8_261
  <=> ! [X0,X3,X2,X1] :
        ( ~ member(unordered_pair(unordered_pair(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1)))),unordered_pair(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),unordered_pair(X2,X2))),X3)
        | member(unordered_pair(unordered_pair(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X0,X0))),unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X0,X0)))),unordered_pair(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X0,X0))),unordered_pair(X2,X2))),flip(X3))
        | ~ member(X2,universal_class)
        | ~ member(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X0,X0))),cross_product(universal_class,universal_class)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_261])]) ).

fof(f743,plain,
    ( spl8_76
  <=> ! [X0,X3,X2,X1] :
        ( member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),cross_product(X2,X3))
        | ~ member(X1,X3)
        | ~ member(X0,X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_76])]) ).

fof(f836,plain,
    ( spl8_88
  <=> ! [X0,X3,X2,X1] :
        ( member(unordered_pair(unordered_pair(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1)))),unordered_pair(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),unordered_pair(X2,X2))),flip(X3))
        | ~ member(unordered_pair(unordered_pair(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X0,X0))),unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X0,X0)))),unordered_pair(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X0,X0))),unordered_pair(X2,X2))),X3)
        | ~ member(unordered_pair(unordered_pair(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1)))),unordered_pair(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),unordered_pair(X2,X2))),cross_product(cross_product(universal_class,universal_class),universal_class)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_88])]) ).

fof(f840,plain,
    ( ! [X2,X3,X0,X1] :
        ( ~ member(unordered_pair(unordered_pair(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1)))),unordered_pair(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),unordered_pair(X2,X2))),X3)
        | member(unordered_pair(unordered_pair(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X0,X0))),unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X0,X0)))),unordered_pair(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X0,X0))),unordered_pair(X2,X2))),flip(X3))
        | ~ member(X2,universal_class)
        | ~ member(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X0,X0))),cross_product(universal_class,universal_class)) )
    | ~ spl8_76
    | ~ spl8_88 ),
    inference(resolution,[],[f837,f744]) ).

fof(f744,plain,
    ( ! [X2,X3,X0,X1] :
        ( member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),cross_product(X2,X3))
        | ~ member(X1,X3)
        | ~ member(X0,X2) )
    | ~ spl8_76 ),
    inference(avatar_component_clause,[],[f743]) ).

fof(f837,plain,
    ( ! [X2,X3,X0,X1] :
        ( ~ member(unordered_pair(unordered_pair(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1)))),unordered_pair(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),unordered_pair(X2,X2))),cross_product(cross_product(universal_class,universal_class),universal_class))
        | ~ member(unordered_pair(unordered_pair(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X0,X0))),unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X0,X0)))),unordered_pair(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X0,X0))),unordered_pair(X2,X2))),X3)
        | member(unordered_pair(unordered_pair(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1)))),unordered_pair(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),unordered_pair(X2,X2))),flip(X3)) )
    | ~ spl8_88 ),
    inference(avatar_component_clause,[],[f836]) ).

fof(f5066,plain,
    ( spl8_260
    | ~ spl8_76
    | ~ spl8_87 ),
    inference(avatar_split_clause,[],[f839,f832,f743,f5064]) ).

fof(f5064,plain,
    ( spl8_260
  <=> ! [X0,X3,X2,X1] :
        ( ~ member(unordered_pair(unordered_pair(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1)))),unordered_pair(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),unordered_pair(X2,X2))),X3)
        | member(unordered_pair(unordered_pair(unordered_pair(unordered_pair(X2,X2),unordered_pair(X2,unordered_pair(X0,X0))),unordered_pair(unordered_pair(X2,X2),unordered_pair(X2,unordered_pair(X0,X0)))),unordered_pair(unordered_pair(unordered_pair(X2,X2),unordered_pair(X2,unordered_pair(X0,X0))),unordered_pair(X1,X1))),rotate(X3))
        | ~ member(X1,universal_class)
        | ~ member(unordered_pair(unordered_pair(X2,X2),unordered_pair(X2,unordered_pair(X0,X0))),cross_product(universal_class,universal_class)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_260])]) ).

fof(f832,plain,
    ( spl8_87
  <=> ! [X0,X3,X2,X1] :
        ( member(unordered_pair(unordered_pair(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X2,X2))),unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X2,X2)))),unordered_pair(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X2,X2))),unordered_pair(X3,X3))),rotate(X0))
        | ~ member(unordered_pair(unordered_pair(unordered_pair(unordered_pair(X2,X2),unordered_pair(X2,unordered_pair(X3,X3))),unordered_pair(unordered_pair(X2,X2),unordered_pair(X2,unordered_pair(X3,X3)))),unordered_pair(unordered_pair(unordered_pair(X2,X2),unordered_pair(X2,unordered_pair(X3,X3))),unordered_pair(X1,X1))),X0)
        | ~ member(unordered_pair(unordered_pair(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X2,X2))),unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X2,X2)))),unordered_pair(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X2,X2))),unordered_pair(X3,X3))),cross_product(cross_product(universal_class,universal_class),universal_class)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_87])]) ).

fof(f839,plain,
    ( ! [X2,X3,X0,X1] :
        ( ~ member(unordered_pair(unordered_pair(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1)))),unordered_pair(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),unordered_pair(X2,X2))),X3)
        | member(unordered_pair(unordered_pair(unordered_pair(unordered_pair(X2,X2),unordered_pair(X2,unordered_pair(X0,X0))),unordered_pair(unordered_pair(X2,X2),unordered_pair(X2,unordered_pair(X0,X0)))),unordered_pair(unordered_pair(unordered_pair(X2,X2),unordered_pair(X2,unordered_pair(X0,X0))),unordered_pair(X1,X1))),rotate(X3))
        | ~ member(X1,universal_class)
        | ~ member(unordered_pair(unordered_pair(X2,X2),unordered_pair(X2,unordered_pair(X0,X0))),cross_product(universal_class,universal_class)) )
    | ~ spl8_76
    | ~ spl8_87 ),
    inference(resolution,[],[f833,f744]) ).

fof(f833,plain,
    ( ! [X2,X3,X0,X1] :
        ( ~ member(unordered_pair(unordered_pair(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X2,X2))),unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X2,X2)))),unordered_pair(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X2,X2))),unordered_pair(X3,X3))),cross_product(cross_product(universal_class,universal_class),universal_class))
        | ~ member(unordered_pair(unordered_pair(unordered_pair(unordered_pair(X2,X2),unordered_pair(X2,unordered_pair(X3,X3))),unordered_pair(unordered_pair(X2,X2),unordered_pair(X2,unordered_pair(X3,X3)))),unordered_pair(unordered_pair(unordered_pair(X2,X2),unordered_pair(X2,unordered_pair(X3,X3))),unordered_pair(X1,X1))),X0)
        | member(unordered_pair(unordered_pair(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X2,X2))),unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X2,X2)))),unordered_pair(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X2,X2))),unordered_pair(X3,X3))),rotate(X0)) )
    | ~ spl8_87 ),
    inference(avatar_component_clause,[],[f832]) ).

fof(f5052,plain,
    ( spl8_259
    | ~ spl8_46
    | ~ spl8_82 ),
    inference(avatar_split_clause,[],[f811,f803,f490,f5050]) ).

fof(f5050,plain,
    ( spl8_259
  <=> ! [X0,X3,X2,X1] :
        ( member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(sK5(X1,domain_of(domain_of(flip(cross_product(intersection(X2,cross_product(domain_of(domain_of(flip(cross_product(intersection(X3,cross_product(unordered_pair(X0,X0),universal_class)),universal_class)))),universal_class)),universal_class))))),sK5(X1,domain_of(domain_of(flip(cross_product(intersection(X2,cross_product(domain_of(domain_of(flip(cross_product(intersection(X3,cross_product(unordered_pair(X0,X0),universal_class)),universal_class)))),universal_class)),universal_class)))))))),compose(X2,X3))
        | ~ member(X0,universal_class)
        | ~ member(X1,sum_class(domain_of(domain_of(flip(cross_product(intersection(X2,cross_product(domain_of(domain_of(flip(cross_product(intersection(X3,cross_product(unordered_pair(X0,X0),universal_class)),universal_class)))),universal_class)),universal_class)))))) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_259])]) ).

fof(f490,plain,
    ( spl8_46
  <=> ! [X0,X1] :
        ( member(sK5(X0,X1),X1)
        | ~ member(X0,sum_class(X1)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_46])]) ).

fof(f811,plain,
    ( ! [X2,X3,X0,X1] :
        ( member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(sK5(X1,domain_of(domain_of(flip(cross_product(intersection(X2,cross_product(domain_of(domain_of(flip(cross_product(intersection(X3,cross_product(unordered_pair(X0,X0),universal_class)),universal_class)))),universal_class)),universal_class))))),sK5(X1,domain_of(domain_of(flip(cross_product(intersection(X2,cross_product(domain_of(domain_of(flip(cross_product(intersection(X3,cross_product(unordered_pair(X0,X0),universal_class)),universal_class)))),universal_class)),universal_class)))))))),compose(X2,X3))
        | ~ member(X0,universal_class)
        | ~ member(X1,sum_class(domain_of(domain_of(flip(cross_product(intersection(X2,cross_product(domain_of(domain_of(flip(cross_product(intersection(X3,cross_product(unordered_pair(X0,X0),universal_class)),universal_class)))),universal_class)),universal_class)))))) )
    | ~ spl8_46
    | ~ spl8_82 ),
    inference(resolution,[],[f804,f491]) ).

fof(f491,plain,
    ( ! [X0,X1] :
        ( member(sK5(X0,X1),X1)
        | ~ member(X0,sum_class(X1)) )
    | ~ spl8_46 ),
    inference(avatar_component_clause,[],[f490]) ).

fof(f5039,plain,
    ( spl8_258
    | ~ spl8_32
    | ~ spl8_82 ),
    inference(avatar_split_clause,[],[f810,f803,f413,f5037]) ).

fof(f5037,plain,
    ( spl8_258
  <=> ! [X0,X3,X2,X1] :
        ( member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(sK4(domain_of(domain_of(flip(cross_product(intersection(X1,cross_product(domain_of(domain_of(flip(cross_product(intersection(X2,cross_product(unordered_pair(X0,X0),universal_class)),universal_class)))),universal_class)),universal_class)))),X3),sK4(domain_of(domain_of(flip(cross_product(intersection(X1,cross_product(domain_of(domain_of(flip(cross_product(intersection(X2,cross_product(unordered_pair(X0,X0),universal_class)),universal_class)))),universal_class)),universal_class)))),X3)))),compose(X1,X2))
        | ~ member(X0,universal_class)
        | subclass(domain_of(domain_of(flip(cross_product(intersection(X1,cross_product(domain_of(domain_of(flip(cross_product(intersection(X2,cross_product(unordered_pair(X0,X0),universal_class)),universal_class)))),universal_class)),universal_class)))),X3) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_258])]) ).

fof(f810,plain,
    ( ! [X2,X3,X0,X1] :
        ( member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(sK4(domain_of(domain_of(flip(cross_product(intersection(X1,cross_product(domain_of(domain_of(flip(cross_product(intersection(X2,cross_product(unordered_pair(X0,X0),universal_class)),universal_class)))),universal_class)),universal_class)))),X3),sK4(domain_of(domain_of(flip(cross_product(intersection(X1,cross_product(domain_of(domain_of(flip(cross_product(intersection(X2,cross_product(unordered_pair(X0,X0),universal_class)),universal_class)))),universal_class)),universal_class)))),X3)))),compose(X1,X2))
        | ~ member(X0,universal_class)
        | subclass(domain_of(domain_of(flip(cross_product(intersection(X1,cross_product(domain_of(domain_of(flip(cross_product(intersection(X2,cross_product(unordered_pair(X0,X0),universal_class)),universal_class)))),universal_class)),universal_class)))),X3) )
    | ~ spl8_32
    | ~ spl8_82 ),
    inference(resolution,[],[f804,f414]) ).

fof(f5026,plain,
    ( spl8_257
    | ~ spl8_15
    | ~ spl8_82 ),
    inference(avatar_split_clause,[],[f809,f803,f333,f5024]) ).

fof(f5024,plain,
    ( spl8_257
  <=> ! [X2,X0,X1] :
        ( member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(sK2(domain_of(domain_of(flip(cross_product(intersection(X1,cross_product(domain_of(domain_of(flip(cross_product(intersection(X2,cross_product(unordered_pair(X0,X0),universal_class)),universal_class)))),universal_class)),universal_class))))),sK2(domain_of(domain_of(flip(cross_product(intersection(X1,cross_product(domain_of(domain_of(flip(cross_product(intersection(X2,cross_product(unordered_pair(X0,X0),universal_class)),universal_class)))),universal_class)),universal_class)))))))),compose(X1,X2))
        | ~ member(X0,universal_class)
        | null_class = domain_of(domain_of(flip(cross_product(intersection(X1,cross_product(domain_of(domain_of(flip(cross_product(intersection(X2,cross_product(unordered_pair(X0,X0),universal_class)),universal_class)))),universal_class)),universal_class)))) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_257])]) ).

fof(f809,plain,
    ( ! [X2,X0,X1] :
        ( member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(sK2(domain_of(domain_of(flip(cross_product(intersection(X1,cross_product(domain_of(domain_of(flip(cross_product(intersection(X2,cross_product(unordered_pair(X0,X0),universal_class)),universal_class)))),universal_class)),universal_class))))),sK2(domain_of(domain_of(flip(cross_product(intersection(X1,cross_product(domain_of(domain_of(flip(cross_product(intersection(X2,cross_product(unordered_pair(X0,X0),universal_class)),universal_class)))),universal_class)),universal_class)))))))),compose(X1,X2))
        | ~ member(X0,universal_class)
        | null_class = domain_of(domain_of(flip(cross_product(intersection(X1,cross_product(domain_of(domain_of(flip(cross_product(intersection(X2,cross_product(unordered_pair(X0,X0),universal_class)),universal_class)))),universal_class)),universal_class)))) )
    | ~ spl8_15
    | ~ spl8_82 ),
    inference(resolution,[],[f804,f334]) ).

fof(f4946,plain,
    ( spl8_256
    | ~ spl8_76
    | ~ spl8_77 ),
    inference(avatar_split_clause,[],[f763,f756,f743,f4944]) ).

fof(f4944,plain,
    ( spl8_256
  <=> ! [X0,X3,X2,X1] :
        ( unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))) = unordered_pair(unordered_pair(first(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1)))),first(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))))),unordered_pair(first(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1)))),unordered_pair(second(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1)))),second(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1)))))))
        | ~ member(X1,X2)
        | ~ member(X0,X3) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_256])]) ).

fof(f763,plain,
    ( ! [X2,X3,X0,X1] :
        ( unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))) = unordered_pair(unordered_pair(first(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1)))),first(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))))),unordered_pair(first(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1)))),unordered_pair(second(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1)))),second(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1)))))))
        | ~ member(X1,X2)
        | ~ member(X0,X3) )
    | ~ spl8_76
    | ~ spl8_77 ),
    inference(resolution,[],[f757,f744]) ).

fof(f4887,plain,
    ( spl8_255
    | ~ spl8_62
    | ~ spl8_75 ),
    inference(avatar_split_clause,[],[f746,f739,f639,f4885]) ).

fof(f4885,plain,
    ( spl8_255
  <=> ! [X0] :
        ( unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X0,X0))) = unordered_pair(unordered_pair(sK3(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X0,X0)))),sK3(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X0,X0))))),unordered_pair(sK3(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X0,X0)))),unordered_pair(sK3(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X0,X0)))),sK3(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X0,X0)))))))
        | ~ member(X0,universal_class) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_255])]) ).

fof(f746,plain,
    ( ! [X0] :
        ( unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X0,X0))) = unordered_pair(unordered_pair(sK3(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X0,X0)))),sK3(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X0,X0))))),unordered_pair(sK3(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X0,X0)))),unordered_pair(sK3(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X0,X0)))),sK3(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X0,X0)))))))
        | ~ member(X0,universal_class) )
    | ~ spl8_62
    | ~ spl8_75 ),
    inference(resolution,[],[f740,f640]) ).

fof(f4755,plain,
    ( spl8_254
    | ~ spl8_52
    | ~ spl8_78 ),
    inference(avatar_split_clause,[],[f781,f760,f577,f4753]) ).

fof(f4753,plain,
    ( spl8_254
  <=> ! [X0,X1] :
        ( null_class = union(X0,X1)
        | ~ member(union(X0,X1),universal_class)
        | member(sum_class(domain_of(domain_of(flip(cross_product(intersection(sK6,cross_product(unordered_pair(union(X0,X1),union(X0,X1)),universal_class)),universal_class))))),X0)
        | member(sum_class(domain_of(domain_of(flip(cross_product(intersection(sK6,cross_product(unordered_pair(union(X0,X1),union(X0,X1)),universal_class)),universal_class))))),X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_254])]) ).

fof(f577,plain,
    ( spl8_52
  <=> ! [X2,X0,X1] :
        ( member(X2,X1)
        | member(X2,X0)
        | ~ member(X2,union(X0,X1)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_52])]) ).

fof(f781,plain,
    ( ! [X0,X1] :
        ( null_class = union(X0,X1)
        | ~ member(union(X0,X1),universal_class)
        | member(sum_class(domain_of(domain_of(flip(cross_product(intersection(sK6,cross_product(unordered_pair(union(X0,X1),union(X0,X1)),universal_class)),universal_class))))),X0)
        | member(sum_class(domain_of(domain_of(flip(cross_product(intersection(sK6,cross_product(unordered_pair(union(X0,X1),union(X0,X1)),universal_class)),universal_class))))),X1) )
    | ~ spl8_52
    | ~ spl8_78 ),
    inference(resolution,[],[f761,f578]) ).

fof(f578,plain,
    ( ! [X2,X0,X1] :
        ( ~ member(X2,union(X0,X1))
        | member(X2,X0)
        | member(X2,X1) )
    | ~ spl8_52 ),
    inference(avatar_component_clause,[],[f577]) ).

fof(f4751,plain,
    ( spl8_253
    | ~ spl8_53
    | ~ spl8_78 ),
    inference(avatar_split_clause,[],[f772,f760,f581,f4749]) ).

fof(f4749,plain,
    ( spl8_253
  <=> ! [X0,X1] :
        ( unordered_pair(X0,X1) = null_class
        | ~ member(unordered_pair(X0,X1),universal_class)
        | sum_class(domain_of(domain_of(flip(cross_product(intersection(sK6,cross_product(unordered_pair(unordered_pair(X0,X1),unordered_pair(X0,X1)),universal_class)),universal_class))))) = X0
        | sum_class(domain_of(domain_of(flip(cross_product(intersection(sK6,cross_product(unordered_pair(unordered_pair(X0,X1),unordered_pair(X0,X1)),universal_class)),universal_class))))) = X1 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_253])]) ).

fof(f581,plain,
    ( spl8_53
  <=> ! [X2,X0,X1] :
        ( X0 = X2
        | X0 = X1
        | ~ member(X0,unordered_pair(X1,X2)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_53])]) ).

fof(f772,plain,
    ( ! [X0,X1] :
        ( unordered_pair(X0,X1) = null_class
        | ~ member(unordered_pair(X0,X1),universal_class)
        | sum_class(domain_of(domain_of(flip(cross_product(intersection(sK6,cross_product(unordered_pair(unordered_pair(X0,X1),unordered_pair(X0,X1)),universal_class)),universal_class))))) = X0
        | sum_class(domain_of(domain_of(flip(cross_product(intersection(sK6,cross_product(unordered_pair(unordered_pair(X0,X1),unordered_pair(X0,X1)),universal_class)),universal_class))))) = X1 )
    | ~ spl8_53
    | ~ spl8_78 ),
    inference(resolution,[],[f761,f582]) ).

fof(f582,plain,
    ( ! [X2,X0,X1] :
        ( ~ member(X0,unordered_pair(X1,X2))
        | X0 = X1
        | X0 = X2 )
    | ~ spl8_53 ),
    inference(avatar_component_clause,[],[f581]) ).

fof(f4683,plain,
    ( spl8_252
    | ~ spl8_64
    | ~ spl8_82 ),
    inference(avatar_split_clause,[],[f806,f803,f650,f4681]) ).

fof(f4681,plain,
    ( spl8_252
  <=> ! [X0,X3,X2,X1] :
        ( member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),compose(X2,X3))
        | ~ member(X0,universal_class)
        | null_class = intersection(domain_of(flip(cross_product(intersection(X2,cross_product(domain_of(domain_of(flip(cross_product(intersection(X3,cross_product(unordered_pair(X0,X0),universal_class)),universal_class)))),universal_class)),universal_class))),cross_product(unordered_pair(X1,X1),universal_class))
        | ~ member(X1,universal_class) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_252])]) ).

fof(f650,plain,
    ( spl8_64
  <=> ! [X0,X1] :
        ( member(X1,domain_of(X0))
        | null_class = intersection(X0,cross_product(unordered_pair(X1,X1),universal_class))
        | ~ member(X1,universal_class) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_64])]) ).

fof(f806,plain,
    ( ! [X2,X3,X0,X1] :
        ( member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),compose(X2,X3))
        | ~ member(X0,universal_class)
        | null_class = intersection(domain_of(flip(cross_product(intersection(X2,cross_product(domain_of(domain_of(flip(cross_product(intersection(X3,cross_product(unordered_pair(X0,X0),universal_class)),universal_class)))),universal_class)),universal_class))),cross_product(unordered_pair(X1,X1),universal_class))
        | ~ member(X1,universal_class) )
    | ~ spl8_64
    | ~ spl8_82 ),
    inference(resolution,[],[f804,f651]) ).

fof(f651,plain,
    ( ! [X0,X1] :
        ( member(X1,domain_of(X0))
        | null_class = intersection(X0,cross_product(unordered_pair(X1,X1),universal_class))
        | ~ member(X1,universal_class) )
    | ~ spl8_64 ),
    inference(avatar_component_clause,[],[f650]) ).

fof(f4679,plain,
    ( spl8_251
    | ~ spl8_69
    | ~ spl8_72 ),
    inference(avatar_split_clause,[],[f712,f698,f677,f4677]) ).

fof(f4677,plain,
    ( spl8_251
  <=> ! [X2,X0,X1] :
        ( domain_of(domain_of(flip(cross_product(intersection(X1,cross_product(X2,universal_class)),universal_class)))) = second(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(domain_of(domain_of(flip(cross_product(intersection(X1,cross_product(X2,universal_class)),universal_class)))),domain_of(domain_of(flip(cross_product(intersection(X1,cross_product(X2,universal_class)),universal_class))))))))
        | ~ member(X0,universal_class)
        | ~ function(X1)
        | ~ member(X2,universal_class) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_251])]) ).

fof(f677,plain,
    ( spl8_69
  <=> ! [X0,X1] :
        ( member(domain_of(domain_of(flip(cross_product(intersection(X1,cross_product(X0,universal_class)),universal_class)))),universal_class)
        | ~ function(X1)
        | ~ member(X0,universal_class) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_69])]) ).

fof(f712,plain,
    ( ! [X2,X0,X1] :
        ( domain_of(domain_of(flip(cross_product(intersection(X1,cross_product(X2,universal_class)),universal_class)))) = second(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(domain_of(domain_of(flip(cross_product(intersection(X1,cross_product(X2,universal_class)),universal_class)))),domain_of(domain_of(flip(cross_product(intersection(X1,cross_product(X2,universal_class)),universal_class))))))))
        | ~ member(X0,universal_class)
        | ~ function(X1)
        | ~ member(X2,universal_class) )
    | ~ spl8_69
    | ~ spl8_72 ),
    inference(resolution,[],[f699,f678]) ).

fof(f678,plain,
    ( ! [X0,X1] :
        ( member(domain_of(domain_of(flip(cross_product(intersection(X1,cross_product(X0,universal_class)),universal_class)))),universal_class)
        | ~ function(X1)
        | ~ member(X0,universal_class) )
    | ~ spl8_69 ),
    inference(avatar_component_clause,[],[f677]) ).

fof(f4643,plain,
    ( spl8_250
    | ~ spl8_46
    | ~ spl8_77 ),
    inference(avatar_split_clause,[],[f767,f756,f490,f4641]) ).

fof(f4641,plain,
    ( spl8_250
  <=> ! [X2,X0,X1] :
        ( sK5(X0,cross_product(X1,X2)) = unordered_pair(unordered_pair(first(sK5(X0,cross_product(X1,X2))),first(sK5(X0,cross_product(X1,X2)))),unordered_pair(first(sK5(X0,cross_product(X1,X2))),unordered_pair(second(sK5(X0,cross_product(X1,X2))),second(sK5(X0,cross_product(X1,X2))))))
        | ~ member(X0,sum_class(cross_product(X1,X2))) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_250])]) ).

fof(f767,plain,
    ( ! [X2,X0,X1] :
        ( sK5(X0,cross_product(X1,X2)) = unordered_pair(unordered_pair(first(sK5(X0,cross_product(X1,X2))),first(sK5(X0,cross_product(X1,X2)))),unordered_pair(first(sK5(X0,cross_product(X1,X2))),unordered_pair(second(sK5(X0,cross_product(X1,X2))),second(sK5(X0,cross_product(X1,X2))))))
        | ~ member(X0,sum_class(cross_product(X1,X2))) )
    | ~ spl8_46
    | ~ spl8_77 ),
    inference(resolution,[],[f757,f491]) ).

fof(f4628,plain,
    ( spl8_248
    | ~ spl8_249
    | ~ spl8_95
    | ~ spl8_236 ),
    inference(avatar_split_clause,[],[f4484,f4214,f876,f4625,f4621]) ).

fof(f4625,plain,
    ( spl8_249
  <=> subclass(universal_class,sK0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_249])]) ).

fof(f876,plain,
    ( spl8_95
  <=> ! [X0] :
        ( member(sK7,X0)
        | ~ subclass(universal_class,X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_95])]) ).

fof(f4484,plain,
    ( ~ subclass(universal_class,sK0)
    | member(sK7,sum_class(sK1))
    | ~ spl8_95
    | ~ spl8_236 ),
    inference(resolution,[],[f4215,f877]) ).

fof(f877,plain,
    ( ! [X0] :
        ( ~ subclass(universal_class,X0)
        | member(sK7,X0) )
    | ~ spl8_95 ),
    inference(avatar_component_clause,[],[f876]) ).

fof(f4619,plain,
    ( spl8_245
    | ~ spl8_246
    | spl8_247
    | ~ spl8_73
    | ~ spl8_78 ),
    inference(avatar_split_clause,[],[f770,f760,f702,f4616,f4612,f4609]) ).

fof(f4609,plain,
    ( spl8_245
  <=> ! [X0] :
        ( first(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(sum_class(domain_of(domain_of(flip(cross_product(intersection(sK6,cross_product(unordered_pair(universal_class,universal_class),universal_class)),universal_class))))),sum_class(domain_of(domain_of(flip(cross_product(intersection(sK6,cross_product(unordered_pair(universal_class,universal_class),universal_class)),universal_class))))))))) = X0
        | ~ member(X0,universal_class) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_245])]) ).

fof(f702,plain,
    ( spl8_73
  <=> ! [X0,X1] :
        ( first(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1)))) = X0
        | ~ member(X1,universal_class)
        | ~ member(X0,universal_class) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_73])]) ).

fof(f770,plain,
    ( ! [X0] :
        ( universal_class = null_class
        | ~ member(universal_class,universal_class)
        | first(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(sum_class(domain_of(domain_of(flip(cross_product(intersection(sK6,cross_product(unordered_pair(universal_class,universal_class),universal_class)),universal_class))))),sum_class(domain_of(domain_of(flip(cross_product(intersection(sK6,cross_product(unordered_pair(universal_class,universal_class),universal_class)),universal_class))))))))) = X0
        | ~ member(X0,universal_class) )
    | ~ spl8_73
    | ~ spl8_78 ),
    inference(resolution,[],[f761,f703]) ).

fof(f703,plain,
    ( ! [X0,X1] :
        ( ~ member(X1,universal_class)
        | first(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1)))) = X0
        | ~ member(X0,universal_class) )
    | ~ spl8_73 ),
    inference(avatar_component_clause,[],[f702]) ).

fof(f4607,plain,
    ( spl8_244
    | ~ spl8_32
    | ~ spl8_77 ),
    inference(avatar_split_clause,[],[f766,f756,f413,f4605]) ).

fof(f4605,plain,
    ( spl8_244
  <=> ! [X2,X0,X1] :
        ( sK4(cross_product(X0,X1),X2) = unordered_pair(unordered_pair(first(sK4(cross_product(X0,X1),X2)),first(sK4(cross_product(X0,X1),X2))),unordered_pair(first(sK4(cross_product(X0,X1),X2)),unordered_pair(second(sK4(cross_product(X0,X1),X2)),second(sK4(cross_product(X0,X1),X2)))))
        | subclass(cross_product(X0,X1),X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_244])]) ).

fof(f766,plain,
    ( ! [X2,X0,X1] :
        ( sK4(cross_product(X0,X1),X2) = unordered_pair(unordered_pair(first(sK4(cross_product(X0,X1),X2)),first(sK4(cross_product(X0,X1),X2))),unordered_pair(first(sK4(cross_product(X0,X1),X2)),unordered_pair(second(sK4(cross_product(X0,X1),X2)),second(sK4(cross_product(X0,X1),X2)))))
        | subclass(cross_product(X0,X1),X2) )
    | ~ spl8_32
    | ~ spl8_77 ),
    inference(resolution,[],[f757,f414]) ).

fof(f4565,plain,
    ( spl8_243
    | ~ spl8_15
    | ~ spl8_77 ),
    inference(avatar_split_clause,[],[f765,f756,f333,f4563]) ).

fof(f4563,plain,
    ( spl8_243
  <=> ! [X0,X1] :
        ( sK2(cross_product(X0,X1)) = unordered_pair(unordered_pair(first(sK2(cross_product(X0,X1))),first(sK2(cross_product(X0,X1)))),unordered_pair(first(sK2(cross_product(X0,X1))),unordered_pair(second(sK2(cross_product(X0,X1))),second(sK2(cross_product(X0,X1))))))
        | cross_product(X0,X1) = null_class ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_243])]) ).

fof(f765,plain,
    ( ! [X0,X1] :
        ( sK2(cross_product(X0,X1)) = unordered_pair(unordered_pair(first(sK2(cross_product(X0,X1))),first(sK2(cross_product(X0,X1)))),unordered_pair(first(sK2(cross_product(X0,X1))),unordered_pair(second(sK2(cross_product(X0,X1))),second(sK2(cross_product(X0,X1))))))
        | cross_product(X0,X1) = null_class )
    | ~ spl8_15
    | ~ spl8_77 ),
    inference(resolution,[],[f757,f334]) ).

fof(f4508,plain,
    ( spl8_242
    | ~ spl8_11
    | ~ spl8_82 ),
    inference(avatar_split_clause,[],[f807,f803,f316,f4506]) ).

fof(f4506,plain,
    ( spl8_242
  <=> ! [X2,X0,X1] :
        ( member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(null_class,null_class))),compose(X1,X2))
        | ~ member(X0,universal_class)
        | ~ inductive(domain_of(domain_of(flip(cross_product(intersection(X1,cross_product(domain_of(domain_of(flip(cross_product(intersection(X2,cross_product(unordered_pair(X0,X0),universal_class)),universal_class)))),universal_class)),universal_class))))) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_242])]) ).

fof(f807,plain,
    ( ! [X2,X0,X1] :
        ( member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(null_class,null_class))),compose(X1,X2))
        | ~ member(X0,universal_class)
        | ~ inductive(domain_of(domain_of(flip(cross_product(intersection(X1,cross_product(domain_of(domain_of(flip(cross_product(intersection(X2,cross_product(unordered_pair(X0,X0),universal_class)),universal_class)))),universal_class)),universal_class))))) )
    | ~ spl8_11
    | ~ spl8_82 ),
    inference(resolution,[],[f804,f317]) ).

fof(f4504,plain,
    ( spl8_241
    | ~ spl8_69
    | ~ spl8_73 ),
    inference(avatar_split_clause,[],[f725,f702,f677,f4502]) ).

fof(f4502,plain,
    ( spl8_241
  <=> ! [X2,X0,X1] :
        ( first(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(domain_of(domain_of(flip(cross_product(intersection(X1,cross_product(X2,universal_class)),universal_class)))),domain_of(domain_of(flip(cross_product(intersection(X1,cross_product(X2,universal_class)),universal_class)))))))) = X0
        | ~ member(X0,universal_class)
        | ~ function(X1)
        | ~ member(X2,universal_class) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_241])]) ).

fof(f725,plain,
    ( ! [X2,X0,X1] :
        ( first(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(domain_of(domain_of(flip(cross_product(intersection(X1,cross_product(X2,universal_class)),universal_class)))),domain_of(domain_of(flip(cross_product(intersection(X1,cross_product(X2,universal_class)),universal_class)))))))) = X0
        | ~ member(X0,universal_class)
        | ~ function(X1)
        | ~ member(X2,universal_class) )
    | ~ spl8_69
    | ~ spl8_73 ),
    inference(resolution,[],[f703,f678]) ).

fof(f4447,plain,
    ( spl8_240
    | ~ spl8_50
    | ~ spl8_79 ),
    inference(avatar_split_clause,[],[f792,f786,f542,f4445]) ).

fof(f4445,plain,
    ( spl8_240
  <=> ! [X0,X1] :
        ( ~ member(union(X0,unordered_pair(X0,X0)),universal_class)
        | ~ member(X0,universal_class)
        | member(X1,sum_class(successor_relation))
        | ~ member(X1,unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(union(X0,unordered_pair(X0,X0)),union(X0,unordered_pair(X0,X0)))))) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_240])]) ).

fof(f786,plain,
    ( spl8_79
  <=> ! [X0] :
        ( member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(union(X0,unordered_pair(X0,X0)),union(X0,unordered_pair(X0,X0))))),successor_relation)
        | ~ member(union(X0,unordered_pair(X0,X0)),universal_class)
        | ~ member(X0,universal_class) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_79])]) ).

fof(f792,plain,
    ( ! [X0,X1] :
        ( ~ member(union(X0,unordered_pair(X0,X0)),universal_class)
        | ~ member(X0,universal_class)
        | member(X1,sum_class(successor_relation))
        | ~ member(X1,unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(union(X0,unordered_pair(X0,X0)),union(X0,unordered_pair(X0,X0)))))) )
    | ~ spl8_50
    | ~ spl8_79 ),
    inference(resolution,[],[f787,f543]) ).

fof(f787,plain,
    ( ! [X0] :
        ( member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(union(X0,unordered_pair(X0,X0)),union(X0,unordered_pair(X0,X0))))),successor_relation)
        | ~ member(union(X0,unordered_pair(X0,X0)),universal_class)
        | ~ member(X0,universal_class) )
    | ~ spl8_79 ),
    inference(avatar_component_clause,[],[f786]) ).

fof(f4343,plain,
    ( spl8_239
    | ~ spl8_44
    | ~ spl8_79 ),
    inference(avatar_split_clause,[],[f793,f786,f482,f4341]) ).

fof(f4341,plain,
    ( spl8_239
  <=> ! [X0,X1] :
        ( ~ member(union(X0,unordered_pair(X0,X0)),universal_class)
        | ~ member(X0,universal_class)
        | member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(union(X0,unordered_pair(X0,X0)),union(X0,unordered_pair(X0,X0))))),X1)
        | ~ subclass(successor_relation,X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_239])]) ).

fof(f793,plain,
    ( ! [X0,X1] :
        ( ~ member(union(X0,unordered_pair(X0,X0)),universal_class)
        | ~ member(X0,universal_class)
        | member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(union(X0,unordered_pair(X0,X0)),union(X0,unordered_pair(X0,X0))))),X1)
        | ~ subclass(successor_relation,X1) )
    | ~ spl8_44
    | ~ spl8_79 ),
    inference(resolution,[],[f787,f483]) ).

fof(f4339,plain,
    ( spl8_238
    | ~ spl8_46
    | ~ spl8_75 ),
    inference(avatar_split_clause,[],[f750,f739,f490,f4337]) ).

fof(f4337,plain,
    ( spl8_238
  <=> ! [X0] :
        ( sK5(X0,identity_relation) = unordered_pair(unordered_pair(sK3(sK5(X0,identity_relation)),sK3(sK5(X0,identity_relation))),unordered_pair(sK3(sK5(X0,identity_relation)),unordered_pair(sK3(sK5(X0,identity_relation)),sK3(sK5(X0,identity_relation)))))
        | ~ member(X0,sum_class(identity_relation)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_238])]) ).

fof(f750,plain,
    ( ! [X0] :
        ( sK5(X0,identity_relation) = unordered_pair(unordered_pair(sK3(sK5(X0,identity_relation)),sK3(sK5(X0,identity_relation))),unordered_pair(sK3(sK5(X0,identity_relation)),unordered_pair(sK3(sK5(X0,identity_relation)),sK3(sK5(X0,identity_relation)))))
        | ~ member(X0,sum_class(identity_relation)) )
    | ~ spl8_46
    | ~ spl8_75 ),
    inference(resolution,[],[f740,f491]) ).

fof(f4330,plain,
    ( spl8_237
    | ~ spl8_32
    | ~ spl8_75 ),
    inference(avatar_split_clause,[],[f749,f739,f413,f4328]) ).

fof(f4328,plain,
    ( spl8_237
  <=> ! [X0] :
        ( sK4(identity_relation,X0) = unordered_pair(unordered_pair(sK3(sK4(identity_relation,X0)),sK3(sK4(identity_relation,X0))),unordered_pair(sK3(sK4(identity_relation,X0)),unordered_pair(sK3(sK4(identity_relation,X0)),sK3(sK4(identity_relation,X0)))))
        | subclass(identity_relation,X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_237])]) ).

fof(f749,plain,
    ( ! [X0] :
        ( sK4(identity_relation,X0) = unordered_pair(unordered_pair(sK3(sK4(identity_relation,X0)),sK3(sK4(identity_relation,X0))),unordered_pair(sK3(sK4(identity_relation,X0)),unordered_pair(sK3(sK4(identity_relation,X0)),sK3(sK4(identity_relation,X0)))))
        | subclass(identity_relation,X0) )
    | ~ spl8_32
    | ~ spl8_75 ),
    inference(resolution,[],[f740,f414]) ).

fof(f4216,plain,
    ( spl8_236
    | ~ spl8_130
    | ~ spl8_142 ),
    inference(avatar_split_clause,[],[f1529,f1362,f1258,f4214]) ).

fof(f1362,plain,
    ( spl8_142
  <=> ! [X0] :
        ( ~ member(sK4(X0,sum_class(sK1)),sK0)
        | subclass(X0,sum_class(sK1)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_142])]) ).

fof(f1529,plain,
    ( ! [X0] :
        ( subclass(X0,sum_class(sK1))
        | ~ subclass(X0,sK0) )
    | ~ spl8_130
    | ~ spl8_142 ),
    inference(duplicate_literal_removal,[],[f1528]) ).

fof(f1528,plain,
    ( ! [X0] :
        ( subclass(X0,sum_class(sK1))
        | ~ subclass(X0,sK0)
        | subclass(X0,sum_class(sK1)) )
    | ~ spl8_130
    | ~ spl8_142 ),
    inference(resolution,[],[f1363,f1259]) ).

fof(f1363,plain,
    ( ! [X0] :
        ( ~ member(sK4(X0,sum_class(sK1)),sK0)
        | subclass(X0,sum_class(sK1)) )
    | ~ spl8_142 ),
    inference(avatar_component_clause,[],[f1362]) ).

fof(f4189,plain,
    ( spl8_235
    | ~ spl8_34
    | ~ spl8_78 ),
    inference(avatar_split_clause,[],[f776,f760,f421,f4187]) ).

fof(f4187,plain,
    ( spl8_235
  <=> ! [X0,X1] :
        ( intersection(X0,X1) = null_class
        | ~ member(intersection(X0,X1),universal_class)
        | member(sum_class(domain_of(domain_of(flip(cross_product(intersection(sK6,cross_product(unordered_pair(intersection(X0,X1),intersection(X0,X1)),universal_class)),universal_class))))),X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_235])]) ).

fof(f776,plain,
    ( ! [X0,X1] :
        ( intersection(X0,X1) = null_class
        | ~ member(intersection(X0,X1),universal_class)
        | member(sum_class(domain_of(domain_of(flip(cross_product(intersection(sK6,cross_product(unordered_pair(intersection(X0,X1),intersection(X0,X1)),universal_class)),universal_class))))),X0) )
    | ~ spl8_34
    | ~ spl8_78 ),
    inference(resolution,[],[f761,f422]) ).

fof(f4185,plain,
    ( spl8_234
    | ~ spl8_35
    | ~ spl8_78 ),
    inference(avatar_split_clause,[],[f775,f760,f425,f4183]) ).

fof(f4183,plain,
    ( spl8_234
  <=> ! [X0,X1] :
        ( intersection(X0,X1) = null_class
        | ~ member(intersection(X0,X1),universal_class)
        | member(sum_class(domain_of(domain_of(flip(cross_product(intersection(sK6,cross_product(unordered_pair(intersection(X0,X1),intersection(X0,X1)),universal_class)),universal_class))))),X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_234])]) ).

fof(f775,plain,
    ( ! [X0,X1] :
        ( intersection(X0,X1) = null_class
        | ~ member(intersection(X0,X1),universal_class)
        | member(sum_class(domain_of(domain_of(flip(cross_product(intersection(sK6,cross_product(unordered_pair(intersection(X0,X1),intersection(X0,X1)),universal_class)),universal_class))))),X1) )
    | ~ spl8_35
    | ~ spl8_78 ),
    inference(resolution,[],[f761,f426]) ).

fof(f4181,plain,
    ( spl8_233
    | ~ spl8_38
    | ~ spl8_78 ),
    inference(avatar_split_clause,[],[f773,f760,f437,f4179]) ).

fof(f4179,plain,
    ( spl8_233
  <=> ! [X0,X1] :
        ( unordered_pair(X0,X1) = null_class
        | ~ member(unordered_pair(X0,X1),universal_class)
        | member(sum_class(domain_of(domain_of(flip(cross_product(intersection(sK6,cross_product(unordered_pair(unordered_pair(X0,X1),unordered_pair(X0,X1)),universal_class)),universal_class))))),universal_class) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_233])]) ).

fof(f437,plain,
    ( spl8_38
  <=> ! [X2,X0,X1] :
        ( member(X0,universal_class)
        | ~ member(X0,unordered_pair(X1,X2)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_38])]) ).

fof(f773,plain,
    ( ! [X0,X1] :
        ( unordered_pair(X0,X1) = null_class
        | ~ member(unordered_pair(X0,X1),universal_class)
        | member(sum_class(domain_of(domain_of(flip(cross_product(intersection(sK6,cross_product(unordered_pair(unordered_pair(X0,X1),unordered_pair(X0,X1)),universal_class)),universal_class))))),universal_class) )
    | ~ spl8_38
    | ~ spl8_78 ),
    inference(resolution,[],[f761,f438]) ).

fof(f438,plain,
    ( ! [X2,X0,X1] :
        ( ~ member(X0,unordered_pair(X1,X2))
        | member(X0,universal_class) )
    | ~ spl8_38 ),
    inference(avatar_component_clause,[],[f437]) ).

fof(f4174,plain,
    ( spl8_232
    | ~ spl8_42
    | ~ spl8_56 ),
    inference(avatar_split_clause,[],[f642,f614,f474,f4172]) ).

fof(f4172,plain,
    ( spl8_232
  <=> ! [X0] :
        ( ~ inductive(X0)
        | domain_of(domain_of(flip(cross_product(intersection(successor_relation,cross_product(X0,universal_class)),universal_class)))) = X0
        | ~ subclass(X0,domain_of(domain_of(flip(cross_product(intersection(successor_relation,cross_product(X0,universal_class)),universal_class))))) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_232])]) ).

fof(f614,plain,
    ( spl8_56
  <=> ! [X0] :
        ( subclass(domain_of(domain_of(flip(cross_product(intersection(successor_relation,cross_product(X0,universal_class)),universal_class)))),X0)
        | ~ inductive(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_56])]) ).

fof(f642,plain,
    ( ! [X0] :
        ( ~ inductive(X0)
        | domain_of(domain_of(flip(cross_product(intersection(successor_relation,cross_product(X0,universal_class)),universal_class)))) = X0
        | ~ subclass(X0,domain_of(domain_of(flip(cross_product(intersection(successor_relation,cross_product(X0,universal_class)),universal_class))))) )
    | ~ spl8_42
    | ~ spl8_56 ),
    inference(resolution,[],[f615,f475]) ).

fof(f615,plain,
    ( ! [X0] :
        ( subclass(domain_of(domain_of(flip(cross_product(intersection(successor_relation,cross_product(X0,universal_class)),universal_class)))),X0)
        | ~ inductive(X0) )
    | ~ spl8_56 ),
    inference(avatar_component_clause,[],[f614]) ).

fof(f3820,plain,
    ( spl8_231
    | spl8_2
    | ~ spl8_185 ),
    inference(avatar_split_clause,[],[f2621,f2470,f274,f3817]) ).

fof(f2470,plain,
    ( spl8_185
  <=> ! [X2,X0,X1] :
        ( sK4(unordered_pair(X0,X1),X2) = X0
        | sK4(unordered_pair(X0,X1),X2) = X1
        | subclass(unordered_pair(X0,X1),X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_185])]) ).

fof(f2621,plain,
    ( sK0 = sK4(unordered_pair(sK0,sK0),sK1)
    | spl8_2
    | ~ spl8_185 ),
    inference(duplicate_literal_removal,[],[f2615]) ).

fof(f2615,plain,
    ( sK0 = sK4(unordered_pair(sK0,sK0),sK1)
    | sK0 = sK4(unordered_pair(sK0,sK0),sK1)
    | spl8_2
    | ~ spl8_185 ),
    inference(resolution,[],[f2471,f276]) ).

fof(f2471,plain,
    ( ! [X2,X0,X1] :
        ( subclass(unordered_pair(X0,X1),X2)
        | sK4(unordered_pair(X0,X1),X2) = X1
        | sK4(unordered_pair(X0,X1),X2) = X0 )
    | ~ spl8_185 ),
    inference(avatar_component_clause,[],[f2470]) ).

fof(f3815,plain,
    ( spl8_230
    | ~ spl8_222
    | ~ spl8_224 ),
    inference(avatar_split_clause,[],[f3716,f3713,f3692,f3813]) ).

fof(f3813,plain,
    ( spl8_230
  <=> ! [X0,X1] :
        ( identity_relation = X0
        | ~ member(X0,universal_class)
        | member(X1,sum_class(X0))
        | ~ member(X1,sum_class(domain_of(domain_of(flip(cross_product(intersection(sK6,cross_product(unordered_pair(X0,X0),universal_class)),universal_class)))))) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_230])]) ).

fof(f3713,plain,
    ( spl8_224
  <=> ! [X0,X1] :
        ( null_class = X0
        | ~ member(X0,universal_class)
        | member(X1,sum_class(X0))
        | ~ member(X1,sum_class(domain_of(domain_of(flip(cross_product(intersection(sK6,cross_product(unordered_pair(X0,X0),universal_class)),universal_class)))))) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_224])]) ).

fof(f3716,plain,
    ( ! [X0,X1] :
        ( identity_relation = X0
        | ~ member(X0,universal_class)
        | member(X1,sum_class(X0))
        | ~ member(X1,sum_class(domain_of(domain_of(flip(cross_product(intersection(sK6,cross_product(unordered_pair(X0,X0),universal_class)),universal_class)))))) )
    | ~ spl8_222
    | ~ spl8_224 ),
    inference(forward_demodulation,[],[f3714,f3694]) ).

fof(f3714,plain,
    ( ! [X0,X1] :
        ( ~ member(X1,sum_class(domain_of(domain_of(flip(cross_product(intersection(sK6,cross_product(unordered_pair(X0,X0),universal_class)),universal_class))))))
        | ~ member(X0,universal_class)
        | member(X1,sum_class(X0))
        | null_class = X0 )
    | ~ spl8_224 ),
    inference(avatar_component_clause,[],[f3713]) ).

fof(f3740,plain,
    ( spl8_229
    | ~ spl8_25
    | ~ spl8_78 ),
    inference(avatar_split_clause,[],[f783,f760,f374,f3738]) ).

fof(f374,plain,
    ( spl8_25
  <=> ! [X0,X1] :
        ( member(X0,universal_class)
        | ~ member(X0,power_class(X1)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_25])]) ).

fof(f783,plain,
    ( ! [X0] :
        ( null_class = power_class(X0)
        | ~ member(power_class(X0),universal_class)
        | member(sum_class(domain_of(domain_of(flip(cross_product(intersection(sK6,cross_product(unordered_pair(power_class(X0),power_class(X0)),universal_class)),universal_class))))),universal_class) )
    | ~ spl8_25
    | ~ spl8_78 ),
    inference(resolution,[],[f761,f375]) ).

fof(f375,plain,
    ( ! [X0,X1] :
        ( ~ member(X0,power_class(X1))
        | member(X0,universal_class) )
    | ~ spl8_25 ),
    inference(avatar_component_clause,[],[f374]) ).

fof(f3735,plain,
    ( spl8_228
    | ~ spl8_26
    | ~ spl8_78 ),
    inference(avatar_split_clause,[],[f782,f760,f378,f3733]) ).

fof(f782,plain,
    ( ! [X0] :
        ( null_class = power_class(X0)
        | ~ member(power_class(X0),universal_class)
        | subclass(sum_class(domain_of(domain_of(flip(cross_product(intersection(sK6,cross_product(unordered_pair(power_class(X0),power_class(X0)),universal_class)),universal_class))))),X0) )
    | ~ spl8_26
    | ~ spl8_78 ),
    inference(resolution,[],[f761,f379]) ).

fof(f3730,plain,
    ( spl8_227
    | ~ spl8_27
    | ~ spl8_78 ),
    inference(avatar_split_clause,[],[f780,f760,f382,f3728]) ).

fof(f382,plain,
    ( spl8_27
  <=> ! [X0,X1] :
        ( member(X1,universal_class)
        | ~ member(X1,domain_of(X0)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_27])]) ).

fof(f780,plain,
    ( ! [X0] :
        ( null_class = domain_of(X0)
        | ~ member(domain_of(X0),universal_class)
        | member(sum_class(domain_of(domain_of(flip(cross_product(intersection(sK6,cross_product(unordered_pair(domain_of(X0),domain_of(X0)),universal_class)),universal_class))))),universal_class) )
    | ~ spl8_27
    | ~ spl8_78 ),
    inference(resolution,[],[f761,f383]) ).

fof(f383,plain,
    ( ! [X0,X1] :
        ( ~ member(X1,domain_of(X0))
        | member(X1,universal_class) )
    | ~ spl8_27 ),
    inference(avatar_component_clause,[],[f382]) ).

fof(f3725,plain,
    ( spl8_226
    | ~ spl8_23
    | ~ spl8_78 ),
    inference(avatar_split_clause,[],[f778,f760,f366,f3723]) ).

fof(f366,plain,
    ( spl8_23
  <=> ! [X0,X1] :
        ( member(X1,universal_class)
        | ~ member(X1,complement(X0)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_23])]) ).

fof(f778,plain,
    ( ! [X0] :
        ( complement(X0) = null_class
        | ~ member(complement(X0),universal_class)
        | member(sum_class(domain_of(domain_of(flip(cross_product(intersection(sK6,cross_product(unordered_pair(complement(X0),complement(X0)),universal_class)),universal_class))))),universal_class) )
    | ~ spl8_23
    | ~ spl8_78 ),
    inference(resolution,[],[f761,f367]) ).

fof(f367,plain,
    ( ! [X0,X1] :
        ( ~ member(X1,complement(X0))
        | member(X1,universal_class) )
    | ~ spl8_23 ),
    inference(avatar_component_clause,[],[f366]) ).

fof(f3720,plain,
    ( spl8_225
    | ~ spl8_24
    | ~ spl8_78 ),
    inference(avatar_split_clause,[],[f777,f760,f370,f3718]) ).

fof(f777,plain,
    ( ! [X0] :
        ( complement(X0) = null_class
        | ~ member(complement(X0),universal_class)
        | ~ member(sum_class(domain_of(domain_of(flip(cross_product(intersection(sK6,cross_product(unordered_pair(complement(X0),complement(X0)),universal_class)),universal_class))))),X0) )
    | ~ spl8_24
    | ~ spl8_78 ),
    inference(resolution,[],[f761,f371]) ).

fof(f3715,plain,
    ( spl8_224
    | ~ spl8_50
    | ~ spl8_78 ),
    inference(avatar_split_clause,[],[f768,f760,f542,f3713]) ).

fof(f768,plain,
    ( ! [X0,X1] :
        ( null_class = X0
        | ~ member(X0,universal_class)
        | member(X1,sum_class(X0))
        | ~ member(X1,sum_class(domain_of(domain_of(flip(cross_product(intersection(sK6,cross_product(unordered_pair(X0,X0),universal_class)),universal_class)))))) )
    | ~ spl8_50
    | ~ spl8_78 ),
    inference(resolution,[],[f761,f543]) ).

fof(f3699,plain,
    ( spl8_222
    | spl8_223
    | ~ spl8_15
    | ~ spl8_75 ),
    inference(avatar_split_clause,[],[f748,f739,f333,f3696,f3692]) ).

fof(f748,plain,
    ( sK2(identity_relation) = unordered_pair(unordered_pair(sK3(sK2(identity_relation)),sK3(sK2(identity_relation))),unordered_pair(sK3(sK2(identity_relation)),unordered_pair(sK3(sK2(identity_relation)),sK3(sK2(identity_relation)))))
    | null_class = identity_relation
    | ~ spl8_15
    | ~ spl8_75 ),
    inference(resolution,[],[f740,f334]) ).

fof(f3690,plain,
    ( spl8_221
    | ~ spl8_46
    | ~ spl8_72 ),
    inference(avatar_split_clause,[],[f720,f698,f490,f3688]) ).

fof(f3688,plain,
    ( spl8_221
  <=> ! [X0,X1] :
        ( sK5(X1,universal_class) = second(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(sK5(X1,universal_class),sK5(X1,universal_class)))))
        | ~ member(X0,universal_class)
        | ~ member(X1,sum_class(universal_class)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_221])]) ).

fof(f720,plain,
    ( ! [X0,X1] :
        ( sK5(X1,universal_class) = second(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(sK5(X1,universal_class),sK5(X1,universal_class)))))
        | ~ member(X0,universal_class)
        | ~ member(X1,sum_class(universal_class)) )
    | ~ spl8_46
    | ~ spl8_72 ),
    inference(resolution,[],[f699,f491]) ).

fof(f3686,plain,
    ( spl8_220
    | ~ spl8_33
    | ~ spl8_64 ),
    inference(avatar_split_clause,[],[f671,f650,f417,f3684]) ).

fof(f3684,plain,
    ( spl8_220
  <=> ! [X0,X1] :
        ( null_class = intersection(X0,cross_product(unordered_pair(sK4(X1,domain_of(X0)),sK4(X1,domain_of(X0))),universal_class))
        | ~ member(sK4(X1,domain_of(X0)),universal_class)
        | subclass(X1,domain_of(X0)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_220])]) ).

fof(f671,plain,
    ( ! [X0,X1] :
        ( null_class = intersection(X0,cross_product(unordered_pair(sK4(X1,domain_of(X0)),sK4(X1,domain_of(X0))),universal_class))
        | ~ member(sK4(X1,domain_of(X0)),universal_class)
        | subclass(X1,domain_of(X0)) )
    | ~ spl8_33
    | ~ spl8_64 ),
    inference(resolution,[],[f651,f418]) ).

fof(f3586,plain,
    ( spl8_219
    | ~ spl8_44
    | ~ spl8_78 ),
    inference(avatar_split_clause,[],[f769,f760,f482,f3584]) ).

fof(f3584,plain,
    ( spl8_219
  <=> ! [X0,X1] :
        ( null_class = X0
        | ~ member(X0,universal_class)
        | member(sum_class(domain_of(domain_of(flip(cross_product(intersection(sK6,cross_product(unordered_pair(X0,X0),universal_class)),universal_class))))),X1)
        | ~ subclass(X0,X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_219])]) ).

fof(f769,plain,
    ( ! [X0,X1] :
        ( null_class = X0
        | ~ member(X0,universal_class)
        | member(sum_class(domain_of(domain_of(flip(cross_product(intersection(sK6,cross_product(unordered_pair(X0,X0),universal_class)),universal_class))))),X1)
        | ~ subclass(X0,X1) )
    | ~ spl8_44
    | ~ spl8_78 ),
    inference(resolution,[],[f761,f483]) ).

fof(f3582,plain,
    ( spl8_218
    | ~ spl8_32
    | ~ spl8_72 ),
    inference(avatar_split_clause,[],[f719,f698,f413,f3580]) ).

fof(f3580,plain,
    ( spl8_218
  <=> ! [X0,X1] :
        ( sK4(universal_class,X1) = second(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(sK4(universal_class,X1),sK4(universal_class,X1)))))
        | ~ member(X0,universal_class)
        | subclass(universal_class,X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_218])]) ).

fof(f719,plain,
    ( ! [X0,X1] :
        ( sK4(universal_class,X1) = second(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(sK4(universal_class,X1),sK4(universal_class,X1)))))
        | ~ member(X0,universal_class)
        | subclass(universal_class,X1) )
    | ~ spl8_32
    | ~ spl8_72 ),
    inference(resolution,[],[f699,f414]) ).

fof(f3518,plain,
    ( spl8_217
    | ~ spl8_50
    | ~ spl8_76 ),
    inference(avatar_split_clause,[],[f753,f743,f542,f3516]) ).

fof(f3516,plain,
    ( spl8_217
  <=> ! [X4,X0,X3,X2,X1] :
        ( ~ member(X0,X1)
        | ~ member(X2,X3)
        | member(X4,sum_class(cross_product(X3,X1)))
        | ~ member(X4,unordered_pair(unordered_pair(X2,X2),unordered_pair(X2,unordered_pair(X0,X0)))) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_217])]) ).

fof(f753,plain,
    ( ! [X2,X3,X0,X1,X4] :
        ( ~ member(X0,X1)
        | ~ member(X2,X3)
        | member(X4,sum_class(cross_product(X3,X1)))
        | ~ member(X4,unordered_pair(unordered_pair(X2,X2),unordered_pair(X2,unordered_pair(X0,X0)))) )
    | ~ spl8_50
    | ~ spl8_76 ),
    inference(resolution,[],[f744,f543]) ).

fof(f3514,plain,
    ( spl8_216
    | ~ spl8_46
    | ~ spl8_73 ),
    inference(avatar_split_clause,[],[f733,f702,f490,f3512]) ).

fof(f3512,plain,
    ( spl8_216
  <=> ! [X0,X1] :
        ( first(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(sK5(X1,universal_class),sK5(X1,universal_class))))) = X0
        | ~ member(X0,universal_class)
        | ~ member(X1,sum_class(universal_class)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_216])]) ).

fof(f733,plain,
    ( ! [X0,X1] :
        ( first(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(sK5(X1,universal_class),sK5(X1,universal_class))))) = X0
        | ~ member(X0,universal_class)
        | ~ member(X1,sum_class(universal_class)) )
    | ~ spl8_46
    | ~ spl8_73 ),
    inference(resolution,[],[f703,f491]) ).

fof(f3462,plain,
    ( spl8_215
    | ~ spl8_44
    | ~ spl8_76 ),
    inference(avatar_split_clause,[],[f754,f743,f482,f3460]) ).

fof(f3460,plain,
    ( spl8_215
  <=> ! [X4,X0,X3,X2,X1] :
        ( ~ member(X0,X1)
        | ~ member(X2,X3)
        | member(unordered_pair(unordered_pair(X2,X2),unordered_pair(X2,unordered_pair(X0,X0))),X4)
        | ~ subclass(cross_product(X3,X1),X4) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_215])]) ).

fof(f754,plain,
    ( ! [X2,X3,X0,X1,X4] :
        ( ~ member(X0,X1)
        | ~ member(X2,X3)
        | member(unordered_pair(unordered_pair(X2,X2),unordered_pair(X2,unordered_pair(X0,X0))),X4)
        | ~ subclass(cross_product(X3,X1),X4) )
    | ~ spl8_44
    | ~ spl8_76 ),
    inference(resolution,[],[f744,f483]) ).

fof(f3458,plain,
    ( spl8_214
    | ~ spl8_32
    | ~ spl8_73 ),
    inference(avatar_split_clause,[],[f732,f702,f413,f3456]) ).

fof(f3456,plain,
    ( spl8_214
  <=> ! [X0,X1] :
        ( first(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(sK4(universal_class,X1),sK4(universal_class,X1))))) = X0
        | ~ member(X0,universal_class)
        | subclass(universal_class,X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_214])]) ).

fof(f732,plain,
    ( ! [X0,X1] :
        ( first(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(sK4(universal_class,X1),sK4(universal_class,X1))))) = X0
        | ~ member(X0,universal_class)
        | subclass(universal_class,X1) )
    | ~ spl8_32
    | ~ spl8_73 ),
    inference(resolution,[],[f703,f414]) ).

fof(f3453,plain,
    ( ~ spl8_211
    | ~ spl8_212
    | spl8_213
    | ~ spl8_19
    | ~ spl8_68 ),
    inference(avatar_split_clause,[],[f690,f673,f349,f3450,f3446,f3442]) ).

fof(f3442,plain,
    ( spl8_211
  <=> function(domain_of(domain_of(flip(cross_product(intersection(successor_relation,cross_product(cross_product(universal_class,universal_class),universal_class)),universal_class))))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_211])]) ).

fof(f3450,plain,
    ( spl8_213
  <=> inductive(cross_product(universal_class,universal_class)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_213])]) ).

fof(f673,plain,
    ( spl8_68
  <=> ! [X0] :
        ( inductive(X0)
        | ~ subclass(domain_of(domain_of(flip(cross_product(intersection(successor_relation,cross_product(X0,universal_class)),universal_class)))),X0)
        | ~ member(null_class,X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_68])]) ).

fof(f690,plain,
    ( inductive(cross_product(universal_class,universal_class))
    | ~ member(null_class,cross_product(universal_class,universal_class))
    | ~ function(domain_of(domain_of(flip(cross_product(intersection(successor_relation,cross_product(cross_product(universal_class,universal_class),universal_class)),universal_class)))))
    | ~ spl8_19
    | ~ spl8_68 ),
    inference(resolution,[],[f674,f350]) ).

fof(f674,plain,
    ( ! [X0] :
        ( ~ subclass(domain_of(domain_of(flip(cross_product(intersection(successor_relation,cross_product(X0,universal_class)),universal_class)))),X0)
        | inductive(X0)
        | ~ member(null_class,X0) )
    | ~ spl8_68 ),
    inference(avatar_component_clause,[],[f673]) ).

fof(f3411,plain,
    ( ~ spl8_210
    | ~ spl8_80
    | spl8_189 ),
    inference(avatar_split_clause,[],[f2815,f2514,f795,f3408]) ).

fof(f2815,plain,
    ( ~ member(null_class,sK0)
    | ~ spl8_80
    | spl8_189 ),
    inference(resolution,[],[f2515,f796]) ).

fof(f3165,plain,
    ( spl8_209
    | ~ spl8_20
    | ~ spl8_72 ),
    inference(avatar_split_clause,[],[f718,f698,f353,f3163]) ).

fof(f3163,plain,
    ( spl8_209
  <=> ! [X0,X1] :
        ( sK3(X1) = second(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(sK3(X1),sK3(X1)))))
        | ~ member(X0,universal_class)
        | ~ member(X1,identity_relation) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_209])]) ).

fof(f353,plain,
    ( spl8_20
  <=> ! [X0] :
        ( member(sK3(X0),universal_class)
        | ~ member(X0,identity_relation) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_20])]) ).

fof(f718,plain,
    ( ! [X0,X1] :
        ( sK3(X1) = second(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(sK3(X1),sK3(X1)))))
        | ~ member(X0,universal_class)
        | ~ member(X1,identity_relation) )
    | ~ spl8_20
    | ~ spl8_72 ),
    inference(resolution,[],[f699,f354]) ).

fof(f354,plain,
    ( ! [X0] :
        ( member(sK3(X0),universal_class)
        | ~ member(X0,identity_relation) )
    | ~ spl8_20 ),
    inference(avatar_component_clause,[],[f353]) ).

fof(f3161,plain,
    ( spl8_208
    | ~ spl8_14
    | ~ spl8_72 ),
    inference(avatar_split_clause,[],[f716,f698,f329,f3159]) ).

fof(f3159,plain,
    ( spl8_208
  <=> ! [X0,X1] :
        ( sK2(X1) = second(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(sK2(X1),sK2(X1)))))
        | ~ member(X0,universal_class)
        | null_class = X1 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_208])]) ).

fof(f716,plain,
    ( ! [X0,X1] :
        ( sK2(X1) = second(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(sK2(X1),sK2(X1)))))
        | ~ member(X0,universal_class)
        | null_class = X1 )
    | ~ spl8_14
    | ~ spl8_72 ),
    inference(resolution,[],[f699,f330]) ).

fof(f3157,plain,
    ( spl8_207
    | ~ spl8_17
    | ~ spl8_72 ),
    inference(avatar_split_clause,[],[f714,f698,f341,f3155]) ).

fof(f3155,plain,
    ( spl8_207
  <=> ! [X0,X1] :
        ( power_class(X1) = second(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(power_class(X1),power_class(X1)))))
        | ~ member(X0,universal_class)
        | ~ member(X1,universal_class) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_207])]) ).

fof(f341,plain,
    ( spl8_17
  <=> ! [X0] :
        ( member(power_class(X0),universal_class)
        | ~ member(X0,universal_class) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_17])]) ).

fof(f714,plain,
    ( ! [X0,X1] :
        ( power_class(X1) = second(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(power_class(X1),power_class(X1)))))
        | ~ member(X0,universal_class)
        | ~ member(X1,universal_class) )
    | ~ spl8_17
    | ~ spl8_72 ),
    inference(resolution,[],[f699,f342]) ).

fof(f342,plain,
    ( ! [X0] :
        ( member(power_class(X0),universal_class)
        | ~ member(X0,universal_class) )
    | ~ spl8_17 ),
    inference(avatar_component_clause,[],[f341]) ).

fof(f3153,plain,
    ( spl8_206
    | ~ spl8_18
    | ~ spl8_72 ),
    inference(avatar_split_clause,[],[f713,f698,f345,f3151]) ).

fof(f3151,plain,
    ( spl8_206
  <=> ! [X0,X1] :
        ( sum_class(X1) = second(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(sum_class(X1),sum_class(X1)))))
        | ~ member(X0,universal_class)
        | ~ member(X1,universal_class) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_206])]) ).

fof(f345,plain,
    ( spl8_18
  <=> ! [X0] :
        ( member(sum_class(X0),universal_class)
        | ~ member(X0,universal_class) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_18])]) ).

fof(f713,plain,
    ( ! [X0,X1] :
        ( sum_class(X1) = second(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(sum_class(X1),sum_class(X1)))))
        | ~ member(X0,universal_class)
        | ~ member(X1,universal_class) )
    | ~ spl8_18
    | ~ spl8_72 ),
    inference(resolution,[],[f699,f346]) ).

fof(f346,plain,
    ( ! [X0] :
        ( member(sum_class(X0),universal_class)
        | ~ member(X0,universal_class) )
    | ~ spl8_18 ),
    inference(avatar_component_clause,[],[f345]) ).

fof(f3149,plain,
    ( ~ spl8_205
    | ~ spl8_11
    | spl8_189 ),
    inference(avatar_split_clause,[],[f2814,f2514,f316,f3146]) ).

fof(f3146,plain,
    ( spl8_205
  <=> inductive(sum_class(sK1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_205])]) ).

fof(f2814,plain,
    ( ~ inductive(sum_class(sK1))
    | ~ spl8_11
    | spl8_189 ),
    inference(resolution,[],[f2515,f317]) ).

fof(f3144,plain,
    ( spl8_204
    | ~ spl8_12
    | ~ spl8_72 ),
    inference(avatar_split_clause,[],[f709,f698,f320,f3142]) ).

fof(f3142,plain,
    ( spl8_204
  <=> ! [X2,X0,X1] :
        ( unordered_pair(X1,X2) = second(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(unordered_pair(X1,X2),unordered_pair(X1,X2)))))
        | ~ member(X0,universal_class) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_204])]) ).

fof(f709,plain,
    ( ! [X2,X0,X1] :
        ( unordered_pair(X1,X2) = second(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(unordered_pair(X1,X2),unordered_pair(X1,X2)))))
        | ~ member(X0,universal_class) )
    | ~ spl8_12
    | ~ spl8_72 ),
    inference(resolution,[],[f699,f321]) ).

fof(f3140,plain,
    ( spl8_203
    | ~ spl8_50
    | ~ spl8_71 ),
    inference(avatar_split_clause,[],[f695,f685,f542,f3138]) ).

fof(f3138,plain,
    ( spl8_203
  <=> ! [X2,X0,X1] :
        ( ~ member(X0,X1)
        | ~ member(X1,universal_class)
        | member(X2,sum_class(element_relation))
        | ~ member(X2,unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1)))) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_203])]) ).

fof(f685,plain,
    ( spl8_71
  <=> ! [X0,X1] :
        ( member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),element_relation)
        | ~ member(X0,X1)
        | ~ member(X1,universal_class) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_71])]) ).

fof(f695,plain,
    ( ! [X2,X0,X1] :
        ( ~ member(X0,X1)
        | ~ member(X1,universal_class)
        | member(X2,sum_class(element_relation))
        | ~ member(X2,unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1)))) )
    | ~ spl8_50
    | ~ spl8_71 ),
    inference(resolution,[],[f686,f543]) ).

fof(f686,plain,
    ( ! [X0,X1] :
        ( member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),element_relation)
        | ~ member(X0,X1)
        | ~ member(X1,universal_class) )
    | ~ spl8_71 ),
    inference(avatar_component_clause,[],[f685]) ).

fof(f3136,plain,
    ( spl8_202
    | ~ spl8_50
    | ~ spl8_69 ),
    inference(avatar_split_clause,[],[f691,f677,f542,f3134]) ).

fof(f3134,plain,
    ( spl8_202
  <=> ! [X2,X0,X1] :
        ( ~ function(X0)
        | ~ member(X1,universal_class)
        | member(X2,sum_class(universal_class))
        | ~ member(X2,domain_of(domain_of(flip(cross_product(intersection(X0,cross_product(X1,universal_class)),universal_class))))) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_202])]) ).

fof(f691,plain,
    ( ! [X2,X0,X1] :
        ( ~ function(X0)
        | ~ member(X1,universal_class)
        | member(X2,sum_class(universal_class))
        | ~ member(X2,domain_of(domain_of(flip(cross_product(intersection(X0,cross_product(X1,universal_class)),universal_class))))) )
    | ~ spl8_50
    | ~ spl8_69 ),
    inference(resolution,[],[f678,f543]) ).

fof(f2714,plain,
    ( spl8_200
    | spl8_201
    | ~ spl8_11
    | ~ spl8_77 ),
    inference(avatar_split_clause,[],[f764,f756,f316,f2711,f2708]) ).

fof(f2708,plain,
    ( spl8_200
  <=> ! [X0,X1] : ~ inductive(cross_product(X0,X1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_200])]) ).

fof(f2711,plain,
    ( spl8_201
  <=> null_class = unordered_pair(unordered_pair(first(null_class),first(null_class)),unordered_pair(first(null_class),unordered_pair(second(null_class),second(null_class)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_201])]) ).

fof(f764,plain,
    ( ! [X0,X1] :
        ( null_class = unordered_pair(unordered_pair(first(null_class),first(null_class)),unordered_pair(first(null_class),unordered_pair(second(null_class),second(null_class))))
        | ~ inductive(cross_product(X0,X1)) )
    | ~ spl8_11
    | ~ spl8_77 ),
    inference(resolution,[],[f757,f317]) ).

fof(f2706,plain,
    ( spl8_199
    | ~ spl8_20
    | ~ spl8_73 ),
    inference(avatar_split_clause,[],[f731,f702,f353,f2704]) ).

fof(f2704,plain,
    ( spl8_199
  <=> ! [X0,X1] :
        ( first(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(sK3(X1),sK3(X1))))) = X0
        | ~ member(X0,universal_class)
        | ~ member(X1,identity_relation) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_199])]) ).

fof(f731,plain,
    ( ! [X0,X1] :
        ( first(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(sK3(X1),sK3(X1))))) = X0
        | ~ member(X0,universal_class)
        | ~ member(X1,identity_relation) )
    | ~ spl8_20
    | ~ spl8_73 ),
    inference(resolution,[],[f703,f354]) ).

fof(f2702,plain,
    ( spl8_198
    | ~ spl8_14
    | ~ spl8_73 ),
    inference(avatar_split_clause,[],[f729,f702,f329,f2700]) ).

fof(f2700,plain,
    ( spl8_198
  <=> ! [X0,X1] :
        ( first(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(sK2(X1),sK2(X1))))) = X0
        | ~ member(X0,universal_class)
        | null_class = X1 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_198])]) ).

fof(f729,plain,
    ( ! [X0,X1] :
        ( first(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(sK2(X1),sK2(X1))))) = X0
        | ~ member(X0,universal_class)
        | null_class = X1 )
    | ~ spl8_14
    | ~ spl8_73 ),
    inference(resolution,[],[f703,f330]) ).

fof(f2698,plain,
    ( spl8_197
    | ~ spl8_17
    | ~ spl8_73 ),
    inference(avatar_split_clause,[],[f727,f702,f341,f2696]) ).

fof(f2696,plain,
    ( spl8_197
  <=> ! [X0,X1] :
        ( first(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(power_class(X1),power_class(X1))))) = X0
        | ~ member(X0,universal_class)
        | ~ member(X1,universal_class) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_197])]) ).

fof(f727,plain,
    ( ! [X0,X1] :
        ( first(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(power_class(X1),power_class(X1))))) = X0
        | ~ member(X0,universal_class)
        | ~ member(X1,universal_class) )
    | ~ spl8_17
    | ~ spl8_73 ),
    inference(resolution,[],[f703,f342]) ).

fof(f2694,plain,
    ( spl8_196
    | ~ spl8_18
    | ~ spl8_73 ),
    inference(avatar_split_clause,[],[f726,f702,f345,f2692]) ).

fof(f2692,plain,
    ( spl8_196
  <=> ! [X0,X1] :
        ( first(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(sum_class(X1),sum_class(X1))))) = X0
        | ~ member(X0,universal_class)
        | ~ member(X1,universal_class) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_196])]) ).

fof(f726,plain,
    ( ! [X0,X1] :
        ( first(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(sum_class(X1),sum_class(X1))))) = X0
        | ~ member(X0,universal_class)
        | ~ member(X1,universal_class) )
    | ~ spl8_18
    | ~ spl8_73 ),
    inference(resolution,[],[f703,f346]) ).

fof(f2690,plain,
    ( spl8_195
    | ~ spl8_44
    | ~ spl8_71 ),
    inference(avatar_split_clause,[],[f696,f685,f482,f2688]) ).

fof(f696,plain,
    ( ! [X2,X0,X1] :
        ( ~ member(X0,X1)
        | ~ member(X1,universal_class)
        | member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),X2)
        | ~ subclass(element_relation,X2) )
    | ~ spl8_44
    | ~ spl8_71 ),
    inference(resolution,[],[f686,f483]) ).

fof(f2686,plain,
    ( spl8_194
    | ~ spl8_44
    | ~ spl8_69 ),
    inference(avatar_split_clause,[],[f692,f677,f482,f2684]) ).

fof(f2684,plain,
    ( spl8_194
  <=> ! [X2,X0,X1] :
        ( ~ function(X0)
        | ~ member(X1,universal_class)
        | member(domain_of(domain_of(flip(cross_product(intersection(X0,cross_product(X1,universal_class)),universal_class)))),X2)
        | ~ subclass(universal_class,X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_194])]) ).

fof(f692,plain,
    ( ! [X2,X0,X1] :
        ( ~ function(X0)
        | ~ member(X1,universal_class)
        | member(domain_of(domain_of(flip(cross_product(intersection(X0,cross_product(X1,universal_class)),universal_class)))),X2)
        | ~ subclass(universal_class,X2) )
    | ~ spl8_44
    | ~ spl8_69 ),
    inference(resolution,[],[f678,f483]) ).

fof(f2682,plain,
    ( spl8_193
    | ~ spl8_50
    | ~ spl8_64 ),
    inference(avatar_split_clause,[],[f669,f650,f542,f2680]) ).

fof(f669,plain,
    ( ! [X2,X0,X1] :
        ( null_class = intersection(X0,cross_product(unordered_pair(X1,X1),universal_class))
        | ~ member(X1,universal_class)
        | member(X2,sum_class(domain_of(X0)))
        | ~ member(X2,X1) )
    | ~ spl8_50
    | ~ spl8_64 ),
    inference(resolution,[],[f651,f543]) ).

fof(f2678,plain,
    ( spl8_192
    | ~ spl8_42
    | ~ spl8_54 ),
    inference(avatar_split_clause,[],[f608,f585,f474,f2676]) ).

fof(f2676,plain,
    ( spl8_192
  <=> ! [X0] :
        ( ~ function(X0)
        | identity_relation = compose(X0,domain_of(flip(cross_product(X0,universal_class))))
        | ~ subclass(identity_relation,compose(X0,domain_of(flip(cross_product(X0,universal_class))))) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_192])]) ).

fof(f585,plain,
    ( spl8_54
  <=> ! [X0] :
        ( subclass(compose(X0,domain_of(flip(cross_product(X0,universal_class)))),identity_relation)
        | ~ function(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_54])]) ).

fof(f608,plain,
    ( ! [X0] :
        ( ~ function(X0)
        | identity_relation = compose(X0,domain_of(flip(cross_product(X0,universal_class))))
        | ~ subclass(identity_relation,compose(X0,domain_of(flip(cross_product(X0,universal_class))))) )
    | ~ spl8_42
    | ~ spl8_54 ),
    inference(resolution,[],[f586,f475]) ).

fof(f586,plain,
    ( ! [X0] :
        ( subclass(compose(X0,domain_of(flip(cross_product(X0,universal_class)))),identity_relation)
        | ~ function(X0) )
    | ~ spl8_54 ),
    inference(avatar_component_clause,[],[f585]) ).

fof(f2674,plain,
    ( spl8_191
    | ~ spl8_46
    | ~ spl8_53 ),
    inference(avatar_split_clause,[],[f607,f581,f490,f2672]) ).

fof(f2672,plain,
    ( spl8_191
  <=> ! [X2,X0,X1] :
        ( sK5(X0,unordered_pair(X1,X2)) = X1
        | sK5(X0,unordered_pair(X1,X2)) = X2
        | ~ member(X0,sum_class(unordered_pair(X1,X2))) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_191])]) ).

fof(f607,plain,
    ( ! [X2,X0,X1] :
        ( sK5(X0,unordered_pair(X1,X2)) = X1
        | sK5(X0,unordered_pair(X1,X2)) = X2
        | ~ member(X0,sum_class(unordered_pair(X1,X2))) )
    | ~ spl8_46
    | ~ spl8_53 ),
    inference(resolution,[],[f582,f491]) ).

fof(f2670,plain,
    ( spl8_190
    | ~ spl8_46
    | ~ spl8_52 ),
    inference(avatar_split_clause,[],[f601,f577,f490,f2668]) ).

fof(f2668,plain,
    ( spl8_190
  <=> ! [X2,X0,X1] :
        ( member(sK5(X0,union(X1,X2)),X1)
        | member(sK5(X0,union(X1,X2)),X2)
        | ~ member(X0,sum_class(union(X1,X2))) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_190])]) ).

fof(f601,plain,
    ( ! [X2,X0,X1] :
        ( member(sK5(X0,union(X1,X2)),X1)
        | member(sK5(X0,union(X1,X2)),X2)
        | ~ member(X0,sum_class(union(X1,X2))) )
    | ~ spl8_46
    | ~ spl8_52 ),
    inference(resolution,[],[f578,f491]) ).

fof(f2517,plain,
    ( ~ spl8_188
    | spl8_189
    | ~ spl8_101
    | ~ spl8_156 ),
    inference(avatar_split_clause,[],[f1851,f1666,f909,f2514,f2510]) ).

fof(f2510,plain,
    ( spl8_188
  <=> inductive(sK0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_188])]) ).

fof(f1666,plain,
    ( spl8_156
  <=> subclass(sK0,sum_class(sK1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_156])]) ).

fof(f1851,plain,
    ( member(null_class,sum_class(sK1))
    | ~ inductive(sK0)
    | ~ spl8_101
    | ~ spl8_156 ),
    inference(resolution,[],[f1668,f910]) ).

fof(f1668,plain,
    ( subclass(sK0,sum_class(sK1))
    | ~ spl8_156 ),
    inference(avatar_component_clause,[],[f1666]) ).

fof(f2480,plain,
    ( spl8_187
    | ~ spl8_12
    | ~ spl8_73 ),
    inference(avatar_split_clause,[],[f722,f702,f320,f2478]) ).

fof(f2478,plain,
    ( spl8_187
  <=> ! [X2,X0,X1] :
        ( first(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(unordered_pair(X1,X2),unordered_pair(X1,X2))))) = X0
        | ~ member(X0,universal_class) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_187])]) ).

fof(f722,plain,
    ( ! [X2,X0,X1] :
        ( first(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(unordered_pair(X1,X2),unordered_pair(X1,X2))))) = X0
        | ~ member(X0,universal_class) )
    | ~ spl8_12
    | ~ spl8_73 ),
    inference(resolution,[],[f703,f321]) ).

fof(f2476,plain,
    ( spl8_186
    | ~ spl8_44
    | ~ spl8_64 ),
    inference(avatar_split_clause,[],[f670,f650,f482,f2474]) ).

fof(f2474,plain,
    ( spl8_186
  <=> ! [X2,X0,X1] :
        ( null_class = intersection(X0,cross_product(unordered_pair(X1,X1),universal_class))
        | ~ member(X1,universal_class)
        | member(X1,X2)
        | ~ subclass(domain_of(X0),X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_186])]) ).

fof(f670,plain,
    ( ! [X2,X0,X1] :
        ( null_class = intersection(X0,cross_product(unordered_pair(X1,X1),universal_class))
        | ~ member(X1,universal_class)
        | member(X1,X2)
        | ~ subclass(domain_of(X0),X2) )
    | ~ spl8_44
    | ~ spl8_64 ),
    inference(resolution,[],[f651,f483]) ).

fof(f2472,plain,
    ( spl8_185
    | ~ spl8_32
    | ~ spl8_53 ),
    inference(avatar_split_clause,[],[f606,f581,f413,f2470]) ).

fof(f606,plain,
    ( ! [X2,X0,X1] :
        ( sK4(unordered_pair(X0,X1),X2) = X0
        | sK4(unordered_pair(X0,X1),X2) = X1
        | subclass(unordered_pair(X0,X1),X2) )
    | ~ spl8_32
    | ~ spl8_53 ),
    inference(resolution,[],[f582,f414]) ).

fof(f2468,plain,
    ( spl8_184
    | ~ spl8_32
    | ~ spl8_52 ),
    inference(avatar_split_clause,[],[f600,f577,f413,f2466]) ).

fof(f2466,plain,
    ( spl8_184
  <=> ! [X2,X0,X1] :
        ( member(sK4(union(X0,X1),X2),X0)
        | member(sK4(union(X0,X1),X2),X1)
        | subclass(union(X0,X1),X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_184])]) ).

fof(f600,plain,
    ( ! [X2,X0,X1] :
        ( member(sK4(union(X0,X1),X2),X0)
        | member(sK4(union(X0,X1),X2),X1)
        | subclass(union(X0,X1),X2) )
    | ~ spl8_32
    | ~ spl8_52 ),
    inference(resolution,[],[f578,f414]) ).

fof(f2464,plain,
    ( spl8_183
    | ~ spl8_33
    | ~ spl8_51 ),
    inference(avatar_split_clause,[],[f595,f573,f417,f2462]) ).

fof(f573,plain,
    ( spl8_51
  <=> ! [X2,X0,X1] :
        ( member(X2,intersection(X0,X1))
        | ~ member(X2,X1)
        | ~ member(X2,X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_51])]) ).

fof(f595,plain,
    ( ! [X2,X0,X1] :
        ( ~ member(sK4(X0,intersection(X1,X2)),X2)
        | ~ member(sK4(X0,intersection(X1,X2)),X1)
        | subclass(X0,intersection(X1,X2)) )
    | ~ spl8_33
    | ~ spl8_51 ),
    inference(resolution,[],[f574,f418]) ).

fof(f574,plain,
    ( ! [X2,X0,X1] :
        ( member(X2,intersection(X0,X1))
        | ~ member(X2,X1)
        | ~ member(X2,X0) )
    | ~ spl8_51 ),
    inference(avatar_component_clause,[],[f573]) ).

fof(f2436,plain,
    ( ~ spl8_181
    | spl8_182
    | ~ spl8_11
    | ~ spl8_75 ),
    inference(avatar_split_clause,[],[f747,f739,f316,f2433,f2429]) ).

fof(f2429,plain,
    ( spl8_181
  <=> inductive(identity_relation) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_181])]) ).

fof(f2433,plain,
    ( spl8_182
  <=> null_class = unordered_pair(unordered_pair(sK3(null_class),sK3(null_class)),unordered_pair(sK3(null_class),unordered_pair(sK3(null_class),sK3(null_class)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_182])]) ).

fof(f747,plain,
    ( null_class = unordered_pair(unordered_pair(sK3(null_class),sK3(null_class)),unordered_pair(sK3(null_class),unordered_pair(sK3(null_class),sK3(null_class))))
    | ~ inductive(identity_relation)
    | ~ spl8_11
    | ~ spl8_75 ),
    inference(resolution,[],[f740,f317]) ).

fof(f2424,plain,
    ( spl8_180
    | ~ spl8_50
    | ~ spl8_62 ),
    inference(avatar_split_clause,[],[f643,f639,f542,f2422]) ).

fof(f2422,plain,
    ( spl8_180
  <=> ! [X0,X1] :
        ( ~ member(X0,universal_class)
        | member(X1,sum_class(identity_relation))
        | ~ member(X1,unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X0,X0)))) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_180])]) ).

fof(f643,plain,
    ( ! [X0,X1] :
        ( ~ member(X0,universal_class)
        | member(X1,sum_class(identity_relation))
        | ~ member(X1,unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X0,X0)))) )
    | ~ spl8_50
    | ~ spl8_62 ),
    inference(resolution,[],[f640,f543]) ).

fof(f2270,plain,
    ( spl8_179
    | ~ spl8_44
    | ~ spl8_62 ),
    inference(avatar_split_clause,[],[f644,f639,f482,f2268]) ).

fof(f644,plain,
    ( ! [X0,X1] :
        ( ~ member(X0,universal_class)
        | member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X0,X0))),X1)
        | ~ subclass(identity_relation,X1) )
    | ~ spl8_44
    | ~ spl8_62 ),
    inference(resolution,[],[f640,f483]) ).

fof(f2266,plain,
    ( spl8_178
    | ~ spl8_15
    | ~ spl8_53 ),
    inference(avatar_split_clause,[],[f605,f581,f333,f2264]) ).

fof(f2264,plain,
    ( spl8_178
  <=> ! [X0,X1] :
        ( sK2(unordered_pair(X0,X1)) = X0
        | sK2(unordered_pair(X0,X1)) = X1
        | unordered_pair(X0,X1) = null_class ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_178])]) ).

fof(f605,plain,
    ( ! [X0,X1] :
        ( sK2(unordered_pair(X0,X1)) = X0
        | sK2(unordered_pair(X0,X1)) = X1
        | unordered_pair(X0,X1) = null_class )
    | ~ spl8_15
    | ~ spl8_53 ),
    inference(resolution,[],[f582,f334]) ).

fof(f2262,plain,
    ( spl8_177
    | ~ spl8_15
    | ~ spl8_52 ),
    inference(avatar_split_clause,[],[f599,f577,f333,f2260]) ).

fof(f599,plain,
    ( ! [X0,X1] :
        ( member(sK2(union(X0,X1)),X0)
        | member(sK2(union(X0,X1)),X1)
        | null_class = union(X0,X1) )
    | ~ spl8_15
    | ~ spl8_52 ),
    inference(resolution,[],[f578,f334]) ).

fof(f2223,plain,
    ( spl8_176
    | ~ spl8_33
    | ~ spl8_49 ),
    inference(avatar_split_clause,[],[f552,f538,f417,f2221]) ).

fof(f538,plain,
    ( spl8_49
  <=> ! [X0,X1] :
        ( member(X0,power_class(X1))
        | ~ subclass(X0,X1)
        | ~ member(X0,universal_class) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_49])]) ).

fof(f552,plain,
    ( ! [X0,X1] :
        ( ~ subclass(sK4(X0,power_class(X1)),X1)
        | ~ member(sK4(X0,power_class(X1)),universal_class)
        | subclass(X0,power_class(X1)) )
    | ~ spl8_33
    | ~ spl8_49 ),
    inference(resolution,[],[f539,f418]) ).

fof(f539,plain,
    ( ! [X0,X1] :
        ( member(X0,power_class(X1))
        | ~ subclass(X0,X1)
        | ~ member(X0,universal_class) )
    | ~ spl8_49 ),
    inference(avatar_component_clause,[],[f538]) ).

fof(f2219,plain,
    ( spl8_175
    | ~ spl8_33
    | ~ spl8_48 ),
    inference(avatar_split_clause,[],[f548,f534,f417,f2217]) ).

fof(f534,plain,
    ( spl8_48
  <=> ! [X0,X1] :
        ( member(X1,complement(X0))
        | member(X1,X0)
        | ~ member(X1,universal_class) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_48])]) ).

fof(f548,plain,
    ( ! [X0,X1] :
        ( member(sK4(X0,complement(X1)),X1)
        | ~ member(sK4(X0,complement(X1)),universal_class)
        | subclass(X0,complement(X1)) )
    | ~ spl8_33
    | ~ spl8_48 ),
    inference(resolution,[],[f535,f418]) ).

fof(f535,plain,
    ( ! [X0,X1] :
        ( member(X1,complement(X0))
        | member(X1,X0)
        | ~ member(X1,universal_class) )
    | ~ spl8_48 ),
    inference(avatar_component_clause,[],[f534]) ).

fof(f2215,plain,
    ( spl8_174
    | ~ spl8_29
    | ~ spl8_42 ),
    inference(avatar_split_clause,[],[f498,f474,f401,f2213]) ).

fof(f2213,plain,
    ( spl8_174
  <=> ! [X0] :
        ( cross_product(cross_product(universal_class,universal_class),universal_class) = flip(X0)
        | ~ subclass(cross_product(cross_product(universal_class,universal_class),universal_class),flip(X0)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_174])]) ).

fof(f498,plain,
    ( ! [X0] :
        ( cross_product(cross_product(universal_class,universal_class),universal_class) = flip(X0)
        | ~ subclass(cross_product(cross_product(universal_class,universal_class),universal_class),flip(X0)) )
    | ~ spl8_29
    | ~ spl8_42 ),
    inference(resolution,[],[f475,f402]) ).

fof(f2211,plain,
    ( spl8_173
    | ~ spl8_28
    | ~ spl8_42 ),
    inference(avatar_split_clause,[],[f497,f474,f397,f2209]) ).

fof(f2209,plain,
    ( spl8_173
  <=> ! [X0] :
        ( rotate(X0) = cross_product(cross_product(universal_class,universal_class),universal_class)
        | ~ subclass(cross_product(cross_product(universal_class,universal_class),universal_class),rotate(X0)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_173])]) ).

fof(f497,plain,
    ( ! [X0] :
        ( rotate(X0) = cross_product(cross_product(universal_class,universal_class),universal_class)
        | ~ subclass(cross_product(cross_product(universal_class,universal_class),universal_class),rotate(X0)) )
    | ~ spl8_28
    | ~ spl8_42 ),
    inference(resolution,[],[f475,f398]) ).

fof(f2079,plain,
    ( spl8_172
    | ~ spl8_7
    | ~ spl8_73 ),
    inference(avatar_split_clause,[],[f734,f702,f297,f2077]) ).

fof(f2077,plain,
    ( spl8_172
  <=> ! [X0] :
        ( first(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(sK7,sK7)))) = X0
        | ~ member(X0,universal_class) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_172])]) ).

fof(f734,plain,
    ( ! [X0] :
        ( first(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(sK7,sK7)))) = X0
        | ~ member(X0,universal_class) )
    | ~ spl8_7
    | ~ spl8_73 ),
    inference(resolution,[],[f703,f299]) ).

fof(f2075,plain,
    ( spl8_171
    | ~ spl8_7
    | ~ spl8_72 ),
    inference(avatar_split_clause,[],[f721,f698,f297,f2073]) ).

fof(f2073,plain,
    ( spl8_171
  <=> ! [X0] :
        ( sK7 = second(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(sK7,sK7))))
        | ~ member(X0,universal_class) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_171])]) ).

fof(f721,plain,
    ( ! [X0] :
        ( sK7 = second(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(sK7,sK7))))
        | ~ member(X0,universal_class) )
    | ~ spl8_7
    | ~ spl8_72 ),
    inference(resolution,[],[f699,f299]) ).

fof(f2071,plain,
    ( spl8_170
    | ~ spl8_142
    | ~ spl8_144 ),
    inference(avatar_split_clause,[],[f1600,f1496,f1362,f2069]) ).

fof(f2069,plain,
    ( spl8_170
  <=> ! [X0] : subclass(intersection(X0,sK0),sum_class(sK1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_170])]) ).

fof(f1600,plain,
    ( ! [X0] : subclass(intersection(X0,sK0),sum_class(sK1))
    | ~ spl8_142
    | ~ spl8_144 ),
    inference(duplicate_literal_removal,[],[f1577]) ).

fof(f1577,plain,
    ( ! [X0] :
        ( subclass(intersection(X0,sK0),sum_class(sK1))
        | subclass(intersection(X0,sK0),sum_class(sK1)) )
    | ~ spl8_142
    | ~ spl8_144 ),
    inference(resolution,[],[f1497,f1363]) ).

fof(f2067,plain,
    ( spl8_169
    | ~ spl8_50
    | ~ spl8_51 ),
    inference(avatar_split_clause,[],[f593,f573,f542,f2065]) ).

fof(f593,plain,
    ( ! [X2,X3,X0,X1] :
        ( ~ member(X0,X1)
        | ~ member(X0,X2)
        | member(X3,sum_class(intersection(X2,X1)))
        | ~ member(X3,X0) )
    | ~ spl8_50
    | ~ spl8_51 ),
    inference(resolution,[],[f574,f543]) ).

fof(f1988,plain,
    ( spl8_168
    | ~ spl8_44
    | ~ spl8_51 ),
    inference(avatar_split_clause,[],[f594,f573,f482,f1986]) ).

fof(f1986,plain,
    ( spl8_168
  <=> ! [X0,X3,X2,X1] :
        ( ~ member(X0,X1)
        | ~ member(X0,X2)
        | member(X0,X3)
        | ~ subclass(intersection(X2,X1),X3) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_168])]) ).

fof(f594,plain,
    ( ! [X2,X3,X0,X1] :
        ( ~ member(X0,X1)
        | ~ member(X0,X2)
        | member(X0,X3)
        | ~ subclass(intersection(X2,X1),X3) )
    | ~ spl8_44
    | ~ spl8_51 ),
    inference(resolution,[],[f574,f483]) ).

fof(f1984,plain,
    ( spl8_167
    | ~ spl8_49
    | ~ spl8_50 ),
    inference(avatar_split_clause,[],[f558,f542,f538,f1982]) ).

fof(f558,plain,
    ( ! [X2,X0,X1] :
        ( member(X0,sum_class(power_class(X1)))
        | ~ member(X0,X2)
        | ~ subclass(X2,X1)
        | ~ member(X2,universal_class) )
    | ~ spl8_49
    | ~ spl8_50 ),
    inference(resolution,[],[f543,f539]) ).

fof(f1980,plain,
    ( spl8_166
    | ~ spl8_48
    | ~ spl8_50 ),
    inference(avatar_split_clause,[],[f555,f542,f534,f1978]) ).

fof(f555,plain,
    ( ! [X2,X0,X1] :
        ( member(X0,sum_class(complement(X1)))
        | ~ member(X0,X2)
        | member(X2,X1)
        | ~ member(X2,universal_class) )
    | ~ spl8_48
    | ~ spl8_50 ),
    inference(resolution,[],[f543,f535]) ).

fof(f1976,plain,
    ( spl8_165
    | ~ spl8_21
    | ~ spl8_42 ),
    inference(avatar_split_clause,[],[f500,f474,f357,f1974]) ).

fof(f1974,plain,
    ( spl8_165
  <=> ! [X0,X1] :
        ( cross_product(universal_class,universal_class) = compose(X0,X1)
        | ~ subclass(cross_product(universal_class,universal_class),compose(X0,X1)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_165])]) ).

fof(f500,plain,
    ( ! [X0,X1] :
        ( cross_product(universal_class,universal_class) = compose(X0,X1)
        | ~ subclass(cross_product(universal_class,universal_class),compose(X0,X1)) )
    | ~ spl8_21
    | ~ spl8_42 ),
    inference(resolution,[],[f475,f358]) ).

fof(f1951,plain,
    ( spl8_164
    | ~ spl8_142
    | ~ spl8_143 ),
    inference(avatar_split_clause,[],[f1571,f1492,f1362,f1949]) ).

fof(f1949,plain,
    ( spl8_164
  <=> ! [X0] : subclass(intersection(sK0,X0),sum_class(sK1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_164])]) ).

fof(f1571,plain,
    ( ! [X0] : subclass(intersection(sK0,X0),sum_class(sK1))
    | ~ spl8_142
    | ~ spl8_143 ),
    inference(duplicate_literal_removal,[],[f1548]) ).

fof(f1548,plain,
    ( ! [X0] :
        ( subclass(intersection(sK0,X0),sum_class(sK1))
        | subclass(intersection(sK0,X0),sum_class(sK1)) )
    | ~ spl8_142
    | ~ spl8_143 ),
    inference(resolution,[],[f1493,f1363]) ).

fof(f1868,plain,
    ( spl8_163
    | ~ spl8_46
    | ~ spl8_50 ),
    inference(avatar_split_clause,[],[f570,f542,f490,f1866]) ).

fof(f1866,plain,
    ( spl8_163
  <=> ! [X2,X0,X1] :
        ( member(X0,sum_class(X1))
        | ~ member(X0,sK5(X2,X1))
        | ~ member(X2,sum_class(X1)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_163])]) ).

fof(f570,plain,
    ( ! [X2,X0,X1] :
        ( member(X0,sum_class(X1))
        | ~ member(X0,sK5(X2,X1))
        | ~ member(X2,sum_class(X1)) )
    | ~ spl8_46
    | ~ spl8_50 ),
    inference(resolution,[],[f543,f491]) ).

fof(f1864,plain,
    ( spl8_162
    | ~ spl8_45
    | ~ spl8_50 ),
    inference(avatar_split_clause,[],[f559,f542,f486,f1862]) ).

fof(f1862,plain,
    ( spl8_162
  <=> ! [X2,X0,X1] :
        ( member(X0,sum_class(sK5(X1,X2)))
        | ~ member(X0,X1)
        | ~ member(X1,sum_class(X2)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_162])]) ).

fof(f486,plain,
    ( spl8_45
  <=> ! [X0,X1] :
        ( member(X0,sK5(X0,X1))
        | ~ member(X0,sum_class(X1)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_45])]) ).

fof(f559,plain,
    ( ! [X2,X0,X1] :
        ( member(X0,sum_class(sK5(X1,X2)))
        | ~ member(X0,X1)
        | ~ member(X1,sum_class(X2)) )
    | ~ spl8_45
    | ~ spl8_50 ),
    inference(resolution,[],[f543,f487]) ).

fof(f487,plain,
    ( ! [X0,X1] :
        ( member(X0,sK5(X0,X1))
        | ~ member(X0,sum_class(X1)) )
    | ~ spl8_45 ),
    inference(avatar_component_clause,[],[f486]) ).

fof(f1860,plain,
    ( spl8_161
    | ~ spl8_44
    | ~ spl8_49 ),
    inference(avatar_split_clause,[],[f551,f538,f482,f1858]) ).

fof(f1858,plain,
    ( spl8_161
  <=> ! [X2,X0,X1] :
        ( ~ subclass(X0,X1)
        | ~ member(X0,universal_class)
        | member(X0,X2)
        | ~ subclass(power_class(X1),X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_161])]) ).

fof(f551,plain,
    ( ! [X2,X0,X1] :
        ( ~ subclass(X0,X1)
        | ~ member(X0,universal_class)
        | member(X0,X2)
        | ~ subclass(power_class(X1),X2) )
    | ~ spl8_44
    | ~ spl8_49 ),
    inference(resolution,[],[f539,f483]) ).

fof(f1856,plain,
    ( spl8_160
    | ~ spl8_44
    | ~ spl8_48 ),
    inference(avatar_split_clause,[],[f547,f534,f482,f1854]) ).

fof(f1854,plain,
    ( spl8_160
  <=> ! [X2,X0,X1] :
        ( member(X0,X1)
        | ~ member(X0,universal_class)
        | member(X0,X2)
        | ~ subclass(complement(X1),X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_160])]) ).

fof(f547,plain,
    ( ! [X2,X0,X1] :
        ( member(X0,X1)
        | ~ member(X0,universal_class)
        | member(X0,X2)
        | ~ subclass(complement(X1),X2) )
    | ~ spl8_44
    | ~ spl8_48 ),
    inference(resolution,[],[f535,f483]) ).

fof(f1850,plain,
    ( spl8_159
    | ~ spl8_34
    | ~ spl8_46 ),
    inference(avatar_split_clause,[],[f522,f490,f421,f1848]) ).

fof(f1848,plain,
    ( spl8_159
  <=> ! [X2,X0,X1] :
        ( ~ member(X0,sum_class(intersection(X1,X2)))
        | member(sK5(X0,intersection(X1,X2)),X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_159])]) ).

fof(f522,plain,
    ( ! [X2,X0,X1] :
        ( ~ member(X0,sum_class(intersection(X1,X2)))
        | member(sK5(X0,intersection(X1,X2)),X1) )
    | ~ spl8_34
    | ~ spl8_46 ),
    inference(resolution,[],[f491,f422]) ).

fof(f1846,plain,
    ( spl8_158
    | ~ spl8_35
    | ~ spl8_46 ),
    inference(avatar_split_clause,[],[f521,f490,f425,f1844]) ).

fof(f1844,plain,
    ( spl8_158
  <=> ! [X2,X0,X1] :
        ( ~ member(X0,sum_class(intersection(X1,X2)))
        | member(sK5(X0,intersection(X1,X2)),X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_158])]) ).

fof(f521,plain,
    ( ! [X2,X0,X1] :
        ( ~ member(X0,sum_class(intersection(X1,X2)))
        | member(sK5(X0,intersection(X1,X2)),X2) )
    | ~ spl8_35
    | ~ spl8_46 ),
    inference(resolution,[],[f491,f426]) ).

fof(f1842,plain,
    ( spl8_157
    | ~ spl8_38
    | ~ spl8_46 ),
    inference(avatar_split_clause,[],[f520,f490,f437,f1840]) ).

fof(f1840,plain,
    ( spl8_157
  <=> ! [X2,X0,X1] :
        ( ~ member(X0,sum_class(unordered_pair(X1,X2)))
        | member(sK5(X0,unordered_pair(X1,X2)),universal_class) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_157])]) ).

fof(f520,plain,
    ( ! [X2,X0,X1] :
        ( ~ member(X0,sum_class(unordered_pair(X1,X2)))
        | member(sK5(X0,unordered_pair(X1,X2)),universal_class) )
    | ~ spl8_38
    | ~ spl8_46 ),
    inference(resolution,[],[f491,f438]) ).

fof(f1669,plain,
    ( spl8_156
    | ~ spl8_32
    | ~ spl8_142 ),
    inference(avatar_split_clause,[],[f1530,f1362,f413,f1666]) ).

fof(f1530,plain,
    ( subclass(sK0,sum_class(sK1))
    | ~ spl8_32
    | ~ spl8_142 ),
    inference(duplicate_literal_removal,[],[f1527]) ).

fof(f1527,plain,
    ( subclass(sK0,sum_class(sK1))
    | subclass(sK0,sum_class(sK1))
    | ~ spl8_32
    | ~ spl8_142 ),
    inference(resolution,[],[f1363,f414]) ).

fof(f1546,plain,
    ( spl8_155
    | ~ spl8_32
    | ~ spl8_50 ),
    inference(avatar_split_clause,[],[f569,f542,f413,f1544]) ).

fof(f569,plain,
    ( ! [X2,X0,X1] :
        ( member(X0,sum_class(X1))
        | ~ member(X0,sK4(X1,X2))
        | subclass(X1,X2) )
    | ~ spl8_32
    | ~ spl8_50 ),
    inference(resolution,[],[f543,f414]) ).

fof(f1542,plain,
    ( spl8_154
    | ~ spl8_36
    | ~ spl8_50 ),
    inference(avatar_split_clause,[],[f557,f542,f429,f1540]) ).

fof(f429,plain,
    ( spl8_36
  <=> ! [X2,X0,X1] :
        ( member(X2,union(X0,X1))
        | ~ member(X2,X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_36])]) ).

fof(f557,plain,
    ( ! [X2,X3,X0,X1] :
        ( member(X0,sum_class(union(X1,X2)))
        | ~ member(X0,X3)
        | ~ member(X3,X1) )
    | ~ spl8_36
    | ~ spl8_50 ),
    inference(resolution,[],[f543,f430]) ).

fof(f430,plain,
    ( ! [X2,X0,X1] :
        ( member(X2,union(X0,X1))
        | ~ member(X2,X0) )
    | ~ spl8_36 ),
    inference(avatar_component_clause,[],[f429]) ).

fof(f1538,plain,
    ( spl8_153
    | ~ spl8_37
    | ~ spl8_50 ),
    inference(avatar_split_clause,[],[f556,f542,f433,f1536]) ).

fof(f433,plain,
    ( spl8_37
  <=> ! [X2,X0,X1] :
        ( member(X2,union(X0,X1))
        | ~ member(X2,X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_37])]) ).

fof(f556,plain,
    ( ! [X2,X3,X0,X1] :
        ( member(X0,sum_class(union(X1,X2)))
        | ~ member(X0,X3)
        | ~ member(X3,X2) )
    | ~ spl8_37
    | ~ spl8_50 ),
    inference(resolution,[],[f543,f434]) ).

fof(f434,plain,
    ( ! [X2,X0,X1] :
        ( member(X2,union(X0,X1))
        | ~ member(X2,X1) )
    | ~ spl8_37 ),
    inference(avatar_component_clause,[],[f433]) ).

fof(f1534,plain,
    ( spl8_152
    | ~ spl8_40
    | ~ spl8_50 ),
    inference(avatar_split_clause,[],[f554,f542,f445,f1532]) ).

fof(f1532,plain,
    ( spl8_152
  <=> ! [X2,X0,X1] :
        ( member(X0,sum_class(unordered_pair(X1,X2)))
        | ~ member(X0,X1)
        | ~ member(X1,universal_class) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_152])]) ).

fof(f445,plain,
    ( spl8_40
  <=> ! [X2,X1] :
        ( member(X1,unordered_pair(X1,X2))
        | ~ member(X1,universal_class) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_40])]) ).

fof(f554,plain,
    ( ! [X2,X0,X1] :
        ( member(X0,sum_class(unordered_pair(X1,X2)))
        | ~ member(X0,X1)
        | ~ member(X1,universal_class) )
    | ~ spl8_40
    | ~ spl8_50 ),
    inference(resolution,[],[f543,f446]) ).

fof(f446,plain,
    ( ! [X2,X1] :
        ( member(X1,unordered_pair(X1,X2))
        | ~ member(X1,universal_class) )
    | ~ spl8_40 ),
    inference(avatar_component_clause,[],[f445]) ).

fof(f1526,plain,
    ( spl8_151
    | ~ spl8_39
    | ~ spl8_50 ),
    inference(avatar_split_clause,[],[f553,f542,f441,f1524]) ).

fof(f1524,plain,
    ( spl8_151
  <=> ! [X2,X0,X1] :
        ( member(X0,sum_class(unordered_pair(X1,X2)))
        | ~ member(X0,X2)
        | ~ member(X2,universal_class) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_151])]) ).

fof(f553,plain,
    ( ! [X2,X0,X1] :
        ( member(X0,sum_class(unordered_pair(X1,X2)))
        | ~ member(X0,X2)
        | ~ member(X2,universal_class) )
    | ~ spl8_39
    | ~ spl8_50 ),
    inference(resolution,[],[f543,f442]) ).

fof(f1522,plain,
    ( spl8_150
    | ~ spl8_44
    | ~ spl8_46 ),
    inference(avatar_split_clause,[],[f519,f490,f482,f1520]) ).

fof(f519,plain,
    ( ! [X2,X0,X1] :
        ( ~ member(X0,sum_class(X1))
        | member(sK5(X0,X1),X2)
        | ~ subclass(X1,X2) )
    | ~ spl8_44
    | ~ spl8_46 ),
    inference(resolution,[],[f491,f483]) ).

fof(f1518,plain,
    ( spl8_149
    | ~ spl8_44
    | ~ spl8_45 ),
    inference(avatar_split_clause,[],[f518,f486,f482,f1516]) ).

fof(f518,plain,
    ( ! [X2,X0,X1] :
        ( ~ member(X0,sum_class(X1))
        | member(X0,X2)
        | ~ subclass(sK5(X0,X1),X2) )
    | ~ spl8_44
    | ~ spl8_45 ),
    inference(resolution,[],[f487,f483]) ).

fof(f1514,plain,
    ( spl8_148
    | ~ spl8_19
    | ~ spl8_42 ),
    inference(avatar_split_clause,[],[f495,f474,f349,f1512]) ).

fof(f1512,plain,
    ( spl8_148
  <=> ! [X0] :
        ( cross_product(universal_class,universal_class) = X0
        | ~ subclass(cross_product(universal_class,universal_class),X0)
        | ~ function(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_148])]) ).

fof(f495,plain,
    ( ! [X0] :
        ( cross_product(universal_class,universal_class) = X0
        | ~ subclass(cross_product(universal_class,universal_class),X0)
        | ~ function(X0) )
    | ~ spl8_19
    | ~ spl8_42 ),
    inference(resolution,[],[f475,f350]) ).

fof(f1510,plain,
    ( spl8_147
    | ~ spl8_32
    | ~ spl8_38 ),
    inference(avatar_split_clause,[],[f466,f437,f413,f1508]) ).

fof(f466,plain,
    ( ! [X2,X0,X1] :
        ( member(sK4(unordered_pair(X0,X1),X2),universal_class)
        | subclass(unordered_pair(X0,X1),X2) )
    | ~ spl8_32
    | ~ spl8_38 ),
    inference(resolution,[],[f438,f414]) ).

fof(f1506,plain,
    ( spl8_146
    | ~ spl8_33
    | ~ spl8_37 ),
    inference(avatar_split_clause,[],[f463,f433,f417,f1504]) ).

fof(f463,plain,
    ( ! [X2,X0,X1] :
        ( ~ member(sK4(X0,union(X1,X2)),X2)
        | subclass(X0,union(X1,X2)) )
    | ~ spl8_33
    | ~ spl8_37 ),
    inference(resolution,[],[f434,f418]) ).

fof(f1502,plain,
    ( spl8_145
    | ~ spl8_33
    | ~ spl8_36 ),
    inference(avatar_split_clause,[],[f462,f429,f417,f1500]) ).

fof(f462,plain,
    ( ! [X2,X0,X1] :
        ( ~ member(sK4(X0,union(X1,X2)),X1)
        | subclass(X0,union(X1,X2)) )
    | ~ spl8_33
    | ~ spl8_36 ),
    inference(resolution,[],[f430,f418]) ).

fof(f1498,plain,
    ( spl8_144
    | ~ spl8_32
    | ~ spl8_35 ),
    inference(avatar_split_clause,[],[f461,f425,f413,f1496]) ).

fof(f461,plain,
    ( ! [X2,X0,X1] :
        ( member(sK4(intersection(X0,X1),X2),X1)
        | subclass(intersection(X0,X1),X2) )
    | ~ spl8_32
    | ~ spl8_35 ),
    inference(resolution,[],[f426,f414]) ).

fof(f1494,plain,
    ( spl8_143
    | ~ spl8_32
    | ~ spl8_34 ),
    inference(avatar_split_clause,[],[f458,f421,f413,f1492]) ).

fof(f458,plain,
    ( ! [X2,X0,X1] :
        ( member(sK4(intersection(X0,X1),X2),X0)
        | subclass(intersection(X0,X1),X2) )
    | ~ spl8_32
    | ~ spl8_34 ),
    inference(resolution,[],[f422,f414]) ).

fof(f1364,plain,
    ( spl8_142
    | ~ spl8_33
    | ~ spl8_80 ),
    inference(avatar_split_clause,[],[f830,f795,f417,f1362]) ).

fof(f830,plain,
    ( ! [X0] :
        ( ~ member(sK4(X0,sum_class(sK1)),sK0)
        | subclass(X0,sum_class(sK1)) )
    | ~ spl8_33
    | ~ spl8_80 ),
    inference(resolution,[],[f796,f418]) ).

fof(f1304,plain,
    ( spl8_141
    | ~ spl8_20
    | ~ spl8_50 ),
    inference(avatar_split_clause,[],[f568,f542,f353,f1302]) ).

fof(f1302,plain,
    ( spl8_141
  <=> ! [X0,X1] :
        ( member(X0,sum_class(universal_class))
        | ~ member(X0,sK3(X1))
        | ~ member(X1,identity_relation) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_141])]) ).

fof(f568,plain,
    ( ! [X0,X1] :
        ( member(X0,sum_class(universal_class))
        | ~ member(X0,sK3(X1))
        | ~ member(X1,identity_relation) )
    | ~ spl8_20
    | ~ spl8_50 ),
    inference(resolution,[],[f543,f354]) ).

fof(f1300,plain,
    ( spl8_140
    | ~ spl8_15
    | ~ spl8_50 ),
    inference(avatar_split_clause,[],[f567,f542,f333,f1298]) ).

fof(f567,plain,
    ( ! [X0,X1] :
        ( member(X0,sum_class(X1))
        | ~ member(X0,sK2(X1))
        | null_class = X1 )
    | ~ spl8_15
    | ~ spl8_50 ),
    inference(resolution,[],[f543,f334]) ).

fof(f1296,plain,
    ( spl8_139
    | ~ spl8_14
    | ~ spl8_50 ),
    inference(avatar_split_clause,[],[f566,f542,f329,f1294]) ).

fof(f1294,plain,
    ( spl8_139
  <=> ! [X0,X1] :
        ( member(X0,sum_class(universal_class))
        | ~ member(X0,sK2(X1))
        | null_class = X1 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_139])]) ).

fof(f566,plain,
    ( ! [X0,X1] :
        ( member(X0,sum_class(universal_class))
        | ~ member(X0,sK2(X1))
        | null_class = X1 )
    | ~ spl8_14
    | ~ spl8_50 ),
    inference(resolution,[],[f543,f330]) ).

fof(f1292,plain,
    ( spl8_138
    | ~ spl8_17
    | ~ spl8_50 ),
    inference(avatar_split_clause,[],[f564,f542,f341,f1290]) ).

fof(f1290,plain,
    ( spl8_138
  <=> ! [X0,X1] :
        ( member(X0,sum_class(universal_class))
        | ~ member(X0,power_class(X1))
        | ~ member(X1,universal_class) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_138])]) ).

fof(f564,plain,
    ( ! [X0,X1] :
        ( member(X0,sum_class(universal_class))
        | ~ member(X0,power_class(X1))
        | ~ member(X1,universal_class) )
    | ~ spl8_17
    | ~ spl8_50 ),
    inference(resolution,[],[f543,f342]) ).

fof(f1288,plain,
    ( spl8_137
    | ~ spl8_44
    | ~ spl8_80 ),
    inference(avatar_split_clause,[],[f829,f795,f482,f1286]) ).

fof(f1286,plain,
    ( spl8_137
  <=> ! [X0,X1] :
        ( ~ member(X0,sK0)
        | member(X0,X1)
        | ~ subclass(sum_class(sK1),X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_137])]) ).

fof(f829,plain,
    ( ! [X0,X1] :
        ( ~ member(X0,sK0)
        | member(X0,X1)
        | ~ subclass(sum_class(sK1),X1) )
    | ~ spl8_44
    | ~ spl8_80 ),
    inference(resolution,[],[f796,f483]) ).

fof(f1284,plain,
    ( spl8_136
    | ~ spl8_18
    | ~ spl8_50 ),
    inference(avatar_split_clause,[],[f563,f542,f345,f1282]) ).

fof(f563,plain,
    ( ! [X0,X1] :
        ( member(X0,sum_class(universal_class))
        | ~ member(X0,sum_class(X1))
        | ~ member(X1,universal_class) )
    | ~ spl8_18
    | ~ spl8_50 ),
    inference(resolution,[],[f543,f346]) ).

fof(f1280,plain,
    ( spl8_135
    | ~ spl8_25
    | ~ spl8_46 ),
    inference(avatar_split_clause,[],[f528,f490,f374,f1278]) ).

fof(f1278,plain,
    ( spl8_135
  <=> ! [X0,X1] :
        ( ~ member(X0,sum_class(power_class(X1)))
        | member(sK5(X0,power_class(X1)),universal_class) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_135])]) ).

fof(f528,plain,
    ( ! [X0,X1] :
        ( ~ member(X0,sum_class(power_class(X1)))
        | member(sK5(X0,power_class(X1)),universal_class) )
    | ~ spl8_25
    | ~ spl8_46 ),
    inference(resolution,[],[f491,f375]) ).

fof(f1276,plain,
    ( spl8_134
    | ~ spl8_26
    | ~ spl8_46 ),
    inference(avatar_split_clause,[],[f527,f490,f378,f1274]) ).

fof(f527,plain,
    ( ! [X0,X1] :
        ( ~ member(X0,sum_class(power_class(X1)))
        | subclass(sK5(X0,power_class(X1)),X1) )
    | ~ spl8_26
    | ~ spl8_46 ),
    inference(resolution,[],[f491,f379]) ).

fof(f1272,plain,
    ( spl8_133
    | ~ spl8_27
    | ~ spl8_46 ),
    inference(avatar_split_clause,[],[f526,f490,f382,f1270]) ).

fof(f1270,plain,
    ( spl8_133
  <=> ! [X0,X1] :
        ( ~ member(X0,sum_class(domain_of(X1)))
        | member(sK5(X0,domain_of(X1)),universal_class) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_133])]) ).

fof(f526,plain,
    ( ! [X0,X1] :
        ( ~ member(X0,sum_class(domain_of(X1)))
        | member(sK5(X0,domain_of(X1)),universal_class) )
    | ~ spl8_27
    | ~ spl8_46 ),
    inference(resolution,[],[f491,f383]) ).

fof(f1268,plain,
    ( spl8_132
    | ~ spl8_23
    | ~ spl8_46 ),
    inference(avatar_split_clause,[],[f524,f490,f366,f1266]) ).

fof(f1266,plain,
    ( spl8_132
  <=> ! [X0,X1] :
        ( ~ member(X0,sum_class(complement(X1)))
        | member(sK5(X0,complement(X1)),universal_class) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_132])]) ).

fof(f524,plain,
    ( ! [X0,X1] :
        ( ~ member(X0,sum_class(complement(X1)))
        | member(sK5(X0,complement(X1)),universal_class) )
    | ~ spl8_23
    | ~ spl8_46 ),
    inference(resolution,[],[f491,f367]) ).

fof(f1264,plain,
    ( spl8_131
    | ~ spl8_24
    | ~ spl8_46 ),
    inference(avatar_split_clause,[],[f523,f490,f370,f1262]) ).

fof(f523,plain,
    ( ! [X0,X1] :
        ( ~ member(X0,sum_class(complement(X1)))
        | ~ member(sK5(X0,complement(X1)),X1) )
    | ~ spl8_24
    | ~ spl8_46 ),
    inference(resolution,[],[f491,f371]) ).

fof(f1260,plain,
    ( spl8_130
    | ~ spl8_32
    | ~ spl8_44 ),
    inference(avatar_split_clause,[],[f516,f482,f413,f1258]) ).

fof(f516,plain,
    ( ! [X2,X0,X1] :
        ( member(sK4(X0,X1),X2)
        | ~ subclass(X0,X2)
        | subclass(X0,X1) )
    | ~ spl8_32
    | ~ spl8_44 ),
    inference(resolution,[],[f483,f414]) ).

fof(f1256,plain,
    ( spl8_129
    | ~ spl8_40
    | ~ spl8_44 ),
    inference(avatar_split_clause,[],[f506,f482,f445,f1254]) ).

fof(f1254,plain,
    ( spl8_129
  <=> ! [X2,X0,X1] :
        ( member(X0,X1)
        | ~ subclass(unordered_pair(X0,X2),X1)
        | ~ member(X0,universal_class) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_129])]) ).

fof(f506,plain,
    ( ! [X2,X0,X1] :
        ( member(X0,X1)
        | ~ subclass(unordered_pair(X0,X2),X1)
        | ~ member(X0,universal_class) )
    | ~ spl8_40
    | ~ spl8_44 ),
    inference(resolution,[],[f483,f446]) ).

fof(f1252,plain,
    ( spl8_128
    | ~ spl8_39
    | ~ spl8_44 ),
    inference(avatar_split_clause,[],[f505,f482,f441,f1250]) ).

fof(f1250,plain,
    ( spl8_128
  <=> ! [X2,X0,X1] :
        ( member(X0,X1)
        | ~ subclass(unordered_pair(X2,X0),X1)
        | ~ member(X0,universal_class) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_128])]) ).

fof(f505,plain,
    ( ! [X2,X0,X1] :
        ( member(X0,X1)
        | ~ subclass(unordered_pair(X2,X0),X1)
        | ~ member(X0,universal_class) )
    | ~ spl8_39
    | ~ spl8_44 ),
    inference(resolution,[],[f483,f442]) ).

fof(f1248,plain,
    ( spl8_127
    | ~ spl8_36
    | ~ spl8_44 ),
    inference(avatar_split_clause,[],[f504,f482,f429,f1246]) ).

fof(f1246,plain,
    ( spl8_127
  <=> ! [X0,X3,X2,X1] :
        ( member(X0,X1)
        | ~ subclass(union(X2,X3),X1)
        | ~ member(X0,X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_127])]) ).

fof(f504,plain,
    ( ! [X2,X3,X0,X1] :
        ( member(X0,X1)
        | ~ subclass(union(X2,X3),X1)
        | ~ member(X0,X2) )
    | ~ spl8_36
    | ~ spl8_44 ),
    inference(resolution,[],[f483,f430]) ).

fof(f1244,plain,
    ( spl8_126
    | ~ spl8_37
    | ~ spl8_44 ),
    inference(avatar_split_clause,[],[f503,f482,f433,f1242]) ).

fof(f503,plain,
    ( ! [X2,X3,X0,X1] :
        ( member(X0,X1)
        | ~ subclass(union(X2,X3),X1)
        | ~ member(X0,X3) )
    | ~ spl8_37
    | ~ spl8_44 ),
    inference(resolution,[],[f483,f434]) ).

fof(f1240,plain,
    ( spl8_125
    | ~ spl8_15
    | ~ spl8_35 ),
    inference(avatar_split_clause,[],[f460,f425,f333,f1238]) ).

fof(f460,plain,
    ( ! [X0,X1] :
        ( member(sK2(intersection(X0,X1)),X1)
        | intersection(X0,X1) = null_class )
    | ~ spl8_15
    | ~ spl8_35 ),
    inference(resolution,[],[f426,f334]) ).

fof(f1236,plain,
    ( spl8_124
    | ~ spl8_15
    | ~ spl8_34 ),
    inference(avatar_split_clause,[],[f457,f421,f333,f1234]) ).

fof(f457,plain,
    ( ! [X0,X1] :
        ( member(sK2(intersection(X0,X1)),X0)
        | intersection(X0,X1) = null_class )
    | ~ spl8_15
    | ~ spl8_34 ),
    inference(resolution,[],[f422,f334]) ).

fof(f1118,plain,
    ( ~ spl8_123
    | spl8_92
    | ~ spl8_19
    | ~ spl8_70 ),
    inference(avatar_split_clause,[],[f737,f681,f349,f863,f1115]) ).

fof(f863,plain,
    ( spl8_92
  <=> member(sK0,cross_product(universal_class,universal_class)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_92])]) ).

fof(f681,plain,
    ( spl8_70
  <=> ! [X0] :
        ( member(sK0,X0)
        | ~ subclass(universal_class,X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_70])]) ).

fof(f737,plain,
    ( member(sK0,cross_product(universal_class,universal_class))
    | ~ function(universal_class)
    | ~ spl8_19
    | ~ spl8_70 ),
    inference(resolution,[],[f682,f350]) ).

fof(f682,plain,
    ( ! [X0] :
        ( ~ subclass(universal_class,X0)
        | member(sK0,X0) )
    | ~ spl8_70 ),
    inference(avatar_component_clause,[],[f681]) ).

fof(f1074,plain,
    ( spl8_122
    | ~ spl8_11
    | ~ spl8_53 ),
    inference(avatar_split_clause,[],[f604,f581,f316,f1072]) ).

fof(f1072,plain,
    ( spl8_122
  <=> ! [X0,X1] :
        ( null_class = X0
        | null_class = X1
        | ~ inductive(unordered_pair(X0,X1)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_122])]) ).

fof(f604,plain,
    ( ! [X0,X1] :
        ( null_class = X0
        | null_class = X1
        | ~ inductive(unordered_pair(X0,X1)) )
    | ~ spl8_11
    | ~ spl8_53 ),
    inference(resolution,[],[f582,f317]) ).

fof(f1070,plain,
    ( spl8_121
    | ~ spl8_11
    | ~ spl8_52 ),
    inference(avatar_split_clause,[],[f598,f577,f316,f1068]) ).

fof(f1068,plain,
    ( spl8_121
  <=> ! [X0,X1] :
        ( member(null_class,X0)
        | member(null_class,X1)
        | ~ inductive(union(X0,X1)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_121])]) ).

fof(f598,plain,
    ( ! [X0,X1] :
        ( member(null_class,X0)
        | member(null_class,X1)
        | ~ inductive(union(X0,X1)) )
    | ~ spl8_11
    | ~ spl8_52 ),
    inference(resolution,[],[f578,f317]) ).

fof(f1066,plain,
    ( spl8_120
    | ~ spl8_20
    | ~ spl8_44 ),
    inference(avatar_split_clause,[],[f515,f482,f353,f1064]) ).

fof(f515,plain,
    ( ! [X0,X1] :
        ( member(sK3(X0),X1)
        | ~ subclass(universal_class,X1)
        | ~ member(X0,identity_relation) )
    | ~ spl8_20
    | ~ spl8_44 ),
    inference(resolution,[],[f483,f354]) ).

fof(f1062,plain,
    ( spl8_119
    | ~ spl8_15
    | ~ spl8_44 ),
    inference(avatar_split_clause,[],[f514,f482,f333,f1060]) ).

fof(f514,plain,
    ( ! [X0,X1] :
        ( member(sK2(X0),X1)
        | ~ subclass(X0,X1)
        | null_class = X0 )
    | ~ spl8_15
    | ~ spl8_44 ),
    inference(resolution,[],[f483,f334]) ).

fof(f1054,plain,
    ( spl8_118
    | ~ spl8_14
    | ~ spl8_44 ),
    inference(avatar_split_clause,[],[f513,f482,f329,f1052]) ).

fof(f513,plain,
    ( ! [X0,X1] :
        ( member(sK2(X0),X1)
        | ~ subclass(universal_class,X1)
        | null_class = X0 )
    | ~ spl8_14
    | ~ spl8_44 ),
    inference(resolution,[],[f483,f330]) ).

fof(f1050,plain,
    ( spl8_117
    | ~ spl8_17
    | ~ spl8_44 ),
    inference(avatar_split_clause,[],[f511,f482,f341,f1048]) ).

fof(f511,plain,
    ( ! [X0,X1] :
        ( member(power_class(X0),X1)
        | ~ subclass(universal_class,X1)
        | ~ member(X0,universal_class) )
    | ~ spl8_17
    | ~ spl8_44 ),
    inference(resolution,[],[f483,f342]) ).

fof(f1046,plain,
    ( spl8_116
    | ~ spl8_18
    | ~ spl8_44 ),
    inference(avatar_split_clause,[],[f510,f482,f345,f1044]) ).

fof(f510,plain,
    ( ! [X0,X1] :
        ( member(sum_class(X0),X1)
        | ~ subclass(universal_class,X1)
        | ~ member(X0,universal_class) )
    | ~ spl8_18
    | ~ spl8_44 ),
    inference(resolution,[],[f483,f346]) ).

fof(f1042,plain,
    ( spl8_115
    | ~ spl8_16
    | ~ spl8_43 ),
    inference(avatar_split_clause,[],[f502,f478,f337,f1040]) ).

fof(f337,plain,
    ( spl8_16
  <=> ! [X0] :
        ( disjoint(sK2(X0),X0)
        | null_class = X0 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_16])]) ).

fof(f478,plain,
    ( spl8_43
  <=> ! [X2,X0,X1] :
        ( ~ member(X2,X1)
        | ~ member(X2,X0)
        | ~ disjoint(X0,X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_43])]) ).

fof(f502,plain,
    ( ! [X0,X1] :
        ( ~ member(X0,sK2(X1))
        | ~ member(X0,X1)
        | null_class = X1 )
    | ~ spl8_16
    | ~ spl8_43 ),
    inference(resolution,[],[f479,f338]) ).

fof(f338,plain,
    ( ! [X0] :
        ( disjoint(sK2(X0),X0)
        | null_class = X0 )
    | ~ spl8_16 ),
    inference(avatar_component_clause,[],[f337]) ).

fof(f479,plain,
    ( ! [X2,X0,X1] :
        ( ~ disjoint(X0,X1)
        | ~ member(X2,X0)
        | ~ member(X2,X1) )
    | ~ spl8_43 ),
    inference(avatar_component_clause,[],[f478]) ).

fof(f1038,plain,
    ( ~ spl8_113
    | spl8_114
    | ~ spl8_10
    | ~ spl8_42 ),
    inference(avatar_split_clause,[],[f499,f474,f311,f1035,f1031]) ).

fof(f1031,plain,
    ( spl8_113
  <=> subclass(cross_product(universal_class,universal_class),successor_relation) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_113])]) ).

fof(f1035,plain,
    ( spl8_114
  <=> cross_product(universal_class,universal_class) = successor_relation ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_114])]) ).

fof(f499,plain,
    ( cross_product(universal_class,universal_class) = successor_relation
    | ~ subclass(cross_product(universal_class,universal_class),successor_relation)
    | ~ spl8_10
    | ~ spl8_42 ),
    inference(resolution,[],[f475,f313]) ).

fof(f1029,plain,
    ( ~ spl8_111
    | spl8_112
    | ~ spl8_9
    | ~ spl8_42 ),
    inference(avatar_split_clause,[],[f496,f474,f306,f1026,f1022]) ).

fof(f1022,plain,
    ( spl8_111
  <=> subclass(cross_product(universal_class,universal_class),element_relation) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_111])]) ).

fof(f1026,plain,
    ( spl8_112
  <=> element_relation = cross_product(universal_class,universal_class) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_112])]) ).

fof(f496,plain,
    ( element_relation = cross_product(universal_class,universal_class)
    | ~ subclass(cross_product(universal_class,universal_class),element_relation)
    | ~ spl8_9
    | ~ spl8_42 ),
    inference(resolution,[],[f475,f308]) ).

fof(f1020,plain,
    ( spl8_110
    | ~ spl8_50
    | ~ spl8_60 ),
    inference(avatar_split_clause,[],[f653,f630,f542,f1018]) ).

fof(f1018,plain,
    ( spl8_110
  <=> ! [X0] :
        ( member(X0,sum_class(universal_class))
        | ~ member(X0,sK0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_110])]) ).

fof(f630,plain,
    ( spl8_60
  <=> member(sK0,universal_class) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_60])]) ).

fof(f653,plain,
    ( ! [X0] :
        ( member(X0,sum_class(universal_class))
        | ~ member(X0,sK0) )
    | ~ spl8_50
    | ~ spl8_60 ),
    inference(resolution,[],[f632,f543]) ).

fof(f632,plain,
    ( member(sK0,universal_class)
    | ~ spl8_60 ),
    inference(avatar_component_clause,[],[f630]) ).

fof(f1016,plain,
    ( spl8_109
    | ~ spl8_25
    | ~ spl8_32 ),
    inference(avatar_split_clause,[],[f453,f413,f374,f1014]) ).

fof(f453,plain,
    ( ! [X0,X1] :
        ( subclass(power_class(X0),X1)
        | member(sK4(power_class(X0),X1),universal_class) )
    | ~ spl8_25
    | ~ spl8_32 ),
    inference(resolution,[],[f414,f375]) ).

fof(f1012,plain,
    ( spl8_108
    | ~ spl8_26
    | ~ spl8_32 ),
    inference(avatar_split_clause,[],[f452,f413,f378,f1010]) ).

fof(f452,plain,
    ( ! [X0,X1] :
        ( subclass(power_class(X0),X1)
        | subclass(sK4(power_class(X0),X1),X0) )
    | ~ spl8_26
    | ~ spl8_32 ),
    inference(resolution,[],[f414,f379]) ).

fof(f1008,plain,
    ( spl8_107
    | ~ spl8_27
    | ~ spl8_32 ),
    inference(avatar_split_clause,[],[f451,f413,f382,f1006]) ).

fof(f451,plain,
    ( ! [X0,X1] :
        ( subclass(domain_of(X0),X1)
        | member(sK4(domain_of(X0),X1),universal_class) )
    | ~ spl8_27
    | ~ spl8_32 ),
    inference(resolution,[],[f414,f383]) ).

fof(f1004,plain,
    ( spl8_106
    | ~ spl8_23
    | ~ spl8_32 ),
    inference(avatar_split_clause,[],[f449,f413,f366,f1002]) ).

fof(f449,plain,
    ( ! [X0,X1] :
        ( subclass(complement(X0),X1)
        | member(sK4(complement(X0),X1),universal_class) )
    | ~ spl8_23
    | ~ spl8_32 ),
    inference(resolution,[],[f414,f367]) ).

fof(f1000,plain,
    ( spl8_105
    | ~ spl8_24
    | ~ spl8_32 ),
    inference(avatar_split_clause,[],[f448,f413,f370,f998]) ).

fof(f448,plain,
    ( ! [X0,X1] :
        ( subclass(complement(X0),X1)
        | ~ member(sK4(complement(X0),X1),X0) )
    | ~ spl8_24
    | ~ spl8_32 ),
    inference(resolution,[],[f414,f371]) ).

fof(f975,plain,
    ( spl8_104
    | ~ spl8_12
    | ~ spl8_50 ),
    inference(avatar_split_clause,[],[f560,f542,f320,f973]) ).

fof(f560,plain,
    ( ! [X2,X0,X1] :
        ( member(X0,sum_class(universal_class))
        | ~ member(X0,unordered_pair(X1,X2)) )
    | ~ spl8_12
    | ~ spl8_50 ),
    inference(resolution,[],[f543,f321]) ).

fof(f971,plain,
    ( spl8_103
    | ~ spl8_15
    | ~ spl8_26 ),
    inference(avatar_split_clause,[],[f393,f378,f333,f969]) ).

fof(f393,plain,
    ( ! [X0] :
        ( subclass(sK2(power_class(X0)),X0)
        | null_class = power_class(X0) )
    | ~ spl8_15
    | ~ spl8_26 ),
    inference(resolution,[],[f379,f334]) ).

fof(f967,plain,
    ( spl8_102
    | ~ spl8_15
    | ~ spl8_24 ),
    inference(avatar_split_clause,[],[f389,f370,f333,f965]) ).

fof(f389,plain,
    ( ! [X0] :
        ( ~ member(sK2(complement(X0)),X0)
        | complement(X0) = null_class )
    | ~ spl8_15
    | ~ spl8_24 ),
    inference(resolution,[],[f371,f334]) ).

fof(f911,plain,
    ( spl8_101
    | ~ spl8_11
    | ~ spl8_44 ),
    inference(avatar_split_clause,[],[f508,f482,f316,f909]) ).

fof(f508,plain,
    ( ! [X0,X1] :
        ( member(null_class,X0)
        | ~ subclass(X1,X0)
        | ~ inductive(X1) )
    | ~ spl8_11
    | ~ spl8_44 ),
    inference(resolution,[],[f483,f317]) ).

fof(f907,plain,
    ( spl8_100
    | ~ spl8_12
    | ~ spl8_44 ),
    inference(avatar_split_clause,[],[f507,f482,f320,f905]) ).

fof(f507,plain,
    ( ! [X2,X0,X1] :
        ( member(unordered_pair(X0,X1),X2)
        | ~ subclass(universal_class,X2) )
    | ~ spl8_12
    | ~ spl8_44 ),
    inference(resolution,[],[f483,f321]) ).

fof(f903,plain,
    ( spl8_99
    | ~ spl8_13
    | ~ spl8_42 ),
    inference(avatar_split_clause,[],[f501,f474,f324,f901]) ).

fof(f901,plain,
    ( spl8_99
  <=> ! [X0] :
        ( sK7 = X0
        | ~ subclass(X0,sK7)
        | ~ inductive(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_99])]) ).

fof(f324,plain,
    ( spl8_13
  <=> ! [X1] :
        ( subclass(sK7,X1)
        | ~ inductive(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_13])]) ).

fof(f501,plain,
    ( ! [X0] :
        ( sK7 = X0
        | ~ subclass(X0,sK7)
        | ~ inductive(X0) )
    | ~ spl8_13
    | ~ spl8_42 ),
    inference(resolution,[],[f475,f325]) ).

fof(f325,plain,
    ( ! [X1] :
        ( subclass(sK7,X1)
        | ~ inductive(X1) )
    | ~ spl8_13 ),
    inference(avatar_component_clause,[],[f324]) ).

fof(f896,plain,
    ( spl8_98
    | ~ spl8_7
    | ~ spl8_50 ),
    inference(avatar_split_clause,[],[f571,f542,f297,f894]) ).

fof(f571,plain,
    ( ! [X0] :
        ( member(X0,sum_class(universal_class))
        | ~ member(X0,sK7) )
    | ~ spl8_7
    | ~ spl8_50 ),
    inference(resolution,[],[f543,f299]) ).

fof(f892,plain,
    ( spl8_97
    | ~ spl8_11
    | ~ spl8_35 ),
    inference(avatar_split_clause,[],[f459,f425,f316,f890]) ).

fof(f890,plain,
    ( spl8_97
  <=> ! [X0,X1] :
        ( member(null_class,X0)
        | ~ inductive(intersection(X1,X0)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_97])]) ).

fof(f459,plain,
    ( ! [X0,X1] :
        ( member(null_class,X0)
        | ~ inductive(intersection(X1,X0)) )
    | ~ spl8_11
    | ~ spl8_35 ),
    inference(resolution,[],[f426,f317]) ).

fof(f888,plain,
    ( spl8_96
    | ~ spl8_11
    | ~ spl8_34 ),
    inference(avatar_split_clause,[],[f456,f421,f316,f886]) ).

fof(f886,plain,
    ( spl8_96
  <=> ! [X0,X1] :
        ( member(null_class,X0)
        | ~ inductive(intersection(X0,X1)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_96])]) ).

fof(f456,plain,
    ( ! [X0,X1] :
        ( member(null_class,X0)
        | ~ inductive(intersection(X0,X1)) )
    | ~ spl8_11
    | ~ spl8_34 ),
    inference(resolution,[],[f422,f317]) ).

fof(f878,plain,
    ( spl8_95
    | ~ spl8_7
    | ~ spl8_44 ),
    inference(avatar_split_clause,[],[f517,f482,f297,f876]) ).

fof(f517,plain,
    ( ! [X0] :
        ( member(sK7,X0)
        | ~ subclass(universal_class,X0) )
    | ~ spl8_7
    | ~ spl8_44 ),
    inference(resolution,[],[f483,f299]) ).

fof(f874,plain,
    ( spl8_94
    | ~ spl8_6
    | ~ spl8_42 ),
    inference(avatar_split_clause,[],[f493,f474,f293,f872]) ).

fof(f493,plain,
    ( ! [X0] :
        ( universal_class = X0
        | ~ subclass(universal_class,X0) )
    | ~ spl8_6
    | ~ spl8_42 ),
    inference(resolution,[],[f475,f294]) ).

fof(f870,plain,
    ( spl8_93
    | ~ spl8_11
    | ~ spl8_24 ),
    inference(avatar_split_clause,[],[f388,f370,f316,f868]) ).

fof(f868,plain,
    ( spl8_93
  <=> ! [X0] :
        ( ~ member(null_class,X0)
        | ~ inductive(complement(X0)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_93])]) ).

fof(f388,plain,
    ( ! [X0] :
        ( ~ member(null_class,X0)
        | ~ inductive(complement(X0)) )
    | ~ spl8_11
    | ~ spl8_24 ),
    inference(resolution,[],[f371,f317]) ).

fof(f866,plain,
    ( ~ spl8_91
    | spl8_92
    | ~ spl8_19
    | ~ spl8_47 ),
    inference(avatar_split_clause,[],[f590,f530,f349,f863,f859]) ).

fof(f859,plain,
    ( spl8_91
  <=> function(sK1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_91])]) ).

fof(f590,plain,
    ( member(sK0,cross_product(universal_class,universal_class))
    | ~ function(sK1)
    | ~ spl8_19
    | ~ spl8_47 ),
    inference(resolution,[],[f531,f350]) ).

fof(f857,plain,
    ( ~ spl8_31
    | spl8_90
    | ~ spl8_6
    | ~ spl8_68 ),
    inference(avatar_split_clause,[],[f689,f673,f293,f854,f408]) ).

fof(f689,plain,
    ( inductive(universal_class)
    | ~ member(null_class,universal_class)
    | ~ spl8_6
    | ~ spl8_68 ),
    inference(resolution,[],[f674,f294]) ).

fof(f845,plain,
    ( spl8_89
    | ~ spl8_5
    | ~ spl8_46 ),
    inference(avatar_split_clause,[],[f525,f490,f289,f843]) ).

fof(f525,plain,
    ( ! [X0] : ~ member(X0,sum_class(null_class))
    | ~ spl8_5
    | ~ spl8_46 ),
    inference(resolution,[],[f491,f290]) ).

fof(f838,plain,
    spl8_88,
    inference(avatar_split_clause,[],[f258,f836]) ).

fof(f258,plain,
    ! [X2,X3,X0,X1] :
      ( member(unordered_pair(unordered_pair(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1)))),unordered_pair(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),unordered_pair(X2,X2))),flip(X3))
      | ~ member(unordered_pair(unordered_pair(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X0,X0))),unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X0,X0)))),unordered_pair(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X0,X0))),unordered_pair(X2,X2))),X3)
      | ~ member(unordered_pair(unordered_pair(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1)))),unordered_pair(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),unordered_pair(X2,X2))),cross_product(cross_product(universal_class,universal_class),universal_class)) ),
    inference(definition_unfolding,[],[f218,f227,f227,f227,f227,f227,f227]) ).

fof(f227,plain,
    ! [X0,X1] : ordered_pair(X0,X1) = unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),
    inference(definition_unfolding,[],[f165,f142,f142]) ).

fof(f142,plain,
    ! [X0] : singleton(X0) = unordered_pair(X0,X0),
    inference(cnf_transformation,[],[f6]) ).

fof(f6,axiom,
    ! [X0] : singleton(X0) = unordered_pair(X0,X0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',singleton_set_defn) ).

fof(f165,plain,
    ! [X0,X1] : ordered_pair(X0,X1) = unordered_pair(singleton(X0),unordered_pair(X0,singleton(X1))),
    inference(cnf_transformation,[],[f7]) ).

fof(f7,axiom,
    ! [X0,X1] : ordered_pair(X0,X1) = unordered_pair(singleton(X0),unordered_pair(X0,singleton(X1))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ordered_pair_defn) ).

fof(f218,plain,
    ! [X2,X3,X0,X1] :
      ( member(ordered_pair(ordered_pair(X0,X1),X2),flip(X3))
      | ~ member(ordered_pair(ordered_pair(X1,X0),X2),X3)
      | ~ member(ordered_pair(ordered_pair(X0,X1),X2),cross_product(cross_product(universal_class,universal_class),universal_class)) ),
    inference(cnf_transformation,[],[f130]) ).

fof(f130,plain,
    ! [X0,X1,X2,X3] :
      ( ( member(ordered_pair(ordered_pair(X0,X1),X2),flip(X3))
        | ~ member(ordered_pair(ordered_pair(X1,X0),X2),X3)
        | ~ member(ordered_pair(ordered_pair(X0,X1),X2),cross_product(cross_product(universal_class,universal_class),universal_class)) )
      & ( ( member(ordered_pair(ordered_pair(X1,X0),X2),X3)
          & member(ordered_pair(ordered_pair(X0,X1),X2),cross_product(cross_product(universal_class,universal_class),universal_class)) )
        | ~ member(ordered_pair(ordered_pair(X0,X1),X2),flip(X3)) ) ),
    inference(flattening,[],[f129]) ).

fof(f129,plain,
    ! [X0,X1,X2,X3] :
      ( ( member(ordered_pair(ordered_pair(X0,X1),X2),flip(X3))
        | ~ member(ordered_pair(ordered_pair(X1,X0),X2),X3)
        | ~ member(ordered_pair(ordered_pair(X0,X1),X2),cross_product(cross_product(universal_class,universal_class),universal_class)) )
      & ( ( member(ordered_pair(ordered_pair(X1,X0),X2),X3)
          & member(ordered_pair(ordered_pair(X0,X1),X2),cross_product(cross_product(universal_class,universal_class),universal_class)) )
        | ~ member(ordered_pair(ordered_pair(X0,X1),X2),flip(X3)) ) ),
    inference(nnf_transformation,[],[f68]) ).

fof(f68,plain,
    ! [X0,X1,X2,X3] :
      ( member(ordered_pair(ordered_pair(X0,X1),X2),flip(X3))
    <=> ( member(ordered_pair(ordered_pair(X1,X0),X2),X3)
        & member(ordered_pair(ordered_pair(X0,X1),X2),cross_product(cross_product(universal_class,universal_class),universal_class)) ) ),
    inference(rectify,[],[f20]) ).

fof(f20,axiom,
    ! [X2,X3,X6,X0] :
      ( member(ordered_pair(ordered_pair(X2,X3),X6),flip(X0))
    <=> ( member(ordered_pair(ordered_pair(X3,X2),X6),X0)
        & member(ordered_pair(ordered_pair(X2,X3),X6),cross_product(cross_product(universal_class,universal_class),universal_class)) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',flip_defn) ).

fof(f834,plain,
    spl8_87,
    inference(avatar_split_clause,[],[f255,f832]) ).

fof(f255,plain,
    ! [X2,X3,X0,X1] :
      ( member(unordered_pair(unordered_pair(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X2,X2))),unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X2,X2)))),unordered_pair(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X2,X2))),unordered_pair(X3,X3))),rotate(X0))
      | ~ member(unordered_pair(unordered_pair(unordered_pair(unordered_pair(X2,X2),unordered_pair(X2,unordered_pair(X3,X3))),unordered_pair(unordered_pair(X2,X2),unordered_pair(X2,unordered_pair(X3,X3)))),unordered_pair(unordered_pair(unordered_pair(X2,X2),unordered_pair(X2,unordered_pair(X3,X3))),unordered_pair(X1,X1))),X0)
      | ~ member(unordered_pair(unordered_pair(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X2,X2))),unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X2,X2)))),unordered_pair(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X2,X2))),unordered_pair(X3,X3))),cross_product(cross_product(universal_class,universal_class),universal_class)) ),
    inference(definition_unfolding,[],[f215,f227,f227,f227,f227,f227,f227]) ).

fof(f215,plain,
    ! [X2,X3,X0,X1] :
      ( member(ordered_pair(ordered_pair(X1,X2),X3),rotate(X0))
      | ~ member(ordered_pair(ordered_pair(X2,X3),X1),X0)
      | ~ member(ordered_pair(ordered_pair(X1,X2),X3),cross_product(cross_product(universal_class,universal_class),universal_class)) ),
    inference(cnf_transformation,[],[f128]) ).

fof(f128,plain,
    ! [X0,X1,X2,X3] :
      ( ( member(ordered_pair(ordered_pair(X1,X2),X3),rotate(X0))
        | ~ member(ordered_pair(ordered_pair(X2,X3),X1),X0)
        | ~ member(ordered_pair(ordered_pair(X1,X2),X3),cross_product(cross_product(universal_class,universal_class),universal_class)) )
      & ( ( member(ordered_pair(ordered_pair(X2,X3),X1),X0)
          & member(ordered_pair(ordered_pair(X1,X2),X3),cross_product(cross_product(universal_class,universal_class),universal_class)) )
        | ~ member(ordered_pair(ordered_pair(X1,X2),X3),rotate(X0)) ) ),
    inference(flattening,[],[f127]) ).

fof(f127,plain,
    ! [X0,X1,X2,X3] :
      ( ( member(ordered_pair(ordered_pair(X1,X2),X3),rotate(X0))
        | ~ member(ordered_pair(ordered_pair(X2,X3),X1),X0)
        | ~ member(ordered_pair(ordered_pair(X1,X2),X3),cross_product(cross_product(universal_class,universal_class),universal_class)) )
      & ( ( member(ordered_pair(ordered_pair(X2,X3),X1),X0)
          & member(ordered_pair(ordered_pair(X1,X2),X3),cross_product(cross_product(universal_class,universal_class),universal_class)) )
        | ~ member(ordered_pair(ordered_pair(X1,X2),X3),rotate(X0)) ) ),
    inference(nnf_transformation,[],[f67]) ).

fof(f67,plain,
    ! [X0,X1,X2,X3] :
      ( member(ordered_pair(ordered_pair(X1,X2),X3),rotate(X0))
    <=> ( member(ordered_pair(ordered_pair(X2,X3),X1),X0)
        & member(ordered_pair(ordered_pair(X1,X2),X3),cross_product(cross_product(universal_class,universal_class),universal_class)) ) ),
    inference(rectify,[],[f18]) ).

fof(f18,axiom,
    ! [X0,X2,X3,X6] :
      ( member(ordered_pair(ordered_pair(X2,X3),X6),rotate(X0))
    <=> ( member(ordered_pair(ordered_pair(X3,X6),X2),X0)
        & member(ordered_pair(ordered_pair(X2,X3),X6),cross_product(cross_product(universal_class,universal_class),universal_class)) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rotate_defn) ).

fof(f827,plain,
    spl8_86,
    inference(avatar_split_clause,[],[f260,f825]) ).

fof(f825,plain,
    ( spl8_86
  <=> ! [X0,X3,X2,X1] :
        ( member(unordered_pair(unordered_pair(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1)))),unordered_pair(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),unordered_pair(X2,X2))),cross_product(cross_product(universal_class,universal_class),universal_class))
        | ~ member(unordered_pair(unordered_pair(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1)))),unordered_pair(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),unordered_pair(X2,X2))),flip(X3)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_86])]) ).

fof(f260,plain,
    ! [X2,X3,X0,X1] :
      ( member(unordered_pair(unordered_pair(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1)))),unordered_pair(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),unordered_pair(X2,X2))),cross_product(cross_product(universal_class,universal_class),universal_class))
      | ~ member(unordered_pair(unordered_pair(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1)))),unordered_pair(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),unordered_pair(X2,X2))),flip(X3)) ),
    inference(definition_unfolding,[],[f216,f227,f227,f227,f227]) ).

fof(f216,plain,
    ! [X2,X3,X0,X1] :
      ( member(ordered_pair(ordered_pair(X0,X1),X2),cross_product(cross_product(universal_class,universal_class),universal_class))
      | ~ member(ordered_pair(ordered_pair(X0,X1),X2),flip(X3)) ),
    inference(cnf_transformation,[],[f130]) ).

fof(f823,plain,
    spl8_85,
    inference(avatar_split_clause,[],[f257,f821]) ).

fof(f821,plain,
    ( spl8_85
  <=> ! [X0,X3,X2,X1] :
        ( member(unordered_pair(unordered_pair(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X2,X2))),unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X2,X2)))),unordered_pair(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X2,X2))),unordered_pair(X3,X3))),cross_product(cross_product(universal_class,universal_class),universal_class))
        | ~ member(unordered_pair(unordered_pair(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X2,X2))),unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X2,X2)))),unordered_pair(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X2,X2))),unordered_pair(X3,X3))),rotate(X0)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_85])]) ).

fof(f257,plain,
    ! [X2,X3,X0,X1] :
      ( member(unordered_pair(unordered_pair(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X2,X2))),unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X2,X2)))),unordered_pair(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X2,X2))),unordered_pair(X3,X3))),cross_product(cross_product(universal_class,universal_class),universal_class))
      | ~ member(unordered_pair(unordered_pair(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X2,X2))),unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X2,X2)))),unordered_pair(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X2,X2))),unordered_pair(X3,X3))),rotate(X0)) ),
    inference(definition_unfolding,[],[f213,f227,f227,f227,f227]) ).

fof(f213,plain,
    ! [X2,X3,X0,X1] :
      ( member(ordered_pair(ordered_pair(X1,X2),X3),cross_product(cross_product(universal_class,universal_class),universal_class))
      | ~ member(ordered_pair(ordered_pair(X1,X2),X3),rotate(X0)) ),
    inference(cnf_transformation,[],[f128]) ).

fof(f819,plain,
    spl8_84,
    inference(avatar_split_clause,[],[f259,f817]) ).

fof(f817,plain,
    ( spl8_84
  <=> ! [X0,X3,X2,X1] :
        ( member(unordered_pair(unordered_pair(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X0,X0))),unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X0,X0)))),unordered_pair(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X0,X0))),unordered_pair(X2,X2))),X3)
        | ~ member(unordered_pair(unordered_pair(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1)))),unordered_pair(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),unordered_pair(X2,X2))),flip(X3)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_84])]) ).

fof(f259,plain,
    ! [X2,X3,X0,X1] :
      ( member(unordered_pair(unordered_pair(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X0,X0))),unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X0,X0)))),unordered_pair(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X0,X0))),unordered_pair(X2,X2))),X3)
      | ~ member(unordered_pair(unordered_pair(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1)))),unordered_pair(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),unordered_pair(X2,X2))),flip(X3)) ),
    inference(definition_unfolding,[],[f217,f227,f227,f227,f227]) ).

fof(f217,plain,
    ! [X2,X3,X0,X1] :
      ( member(ordered_pair(ordered_pair(X1,X0),X2),X3)
      | ~ member(ordered_pair(ordered_pair(X0,X1),X2),flip(X3)) ),
    inference(cnf_transformation,[],[f130]) ).

fof(f815,plain,
    spl8_83,
    inference(avatar_split_clause,[],[f256,f813]) ).

fof(f813,plain,
    ( spl8_83
  <=> ! [X0,X3,X2,X1] :
        ( member(unordered_pair(unordered_pair(unordered_pair(unordered_pair(X2,X2),unordered_pair(X2,unordered_pair(X3,X3))),unordered_pair(unordered_pair(X2,X2),unordered_pair(X2,unordered_pair(X3,X3)))),unordered_pair(unordered_pair(unordered_pair(X2,X2),unordered_pair(X2,unordered_pair(X3,X3))),unordered_pair(X1,X1))),X0)
        | ~ member(unordered_pair(unordered_pair(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X2,X2))),unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X2,X2)))),unordered_pair(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X2,X2))),unordered_pair(X3,X3))),rotate(X0)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_83])]) ).

fof(f256,plain,
    ! [X2,X3,X0,X1] :
      ( member(unordered_pair(unordered_pair(unordered_pair(unordered_pair(X2,X2),unordered_pair(X2,unordered_pair(X3,X3))),unordered_pair(unordered_pair(X2,X2),unordered_pair(X2,unordered_pair(X3,X3)))),unordered_pair(unordered_pair(unordered_pair(X2,X2),unordered_pair(X2,unordered_pair(X3,X3))),unordered_pair(X1,X1))),X0)
      | ~ member(unordered_pair(unordered_pair(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X2,X2))),unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X2,X2)))),unordered_pair(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X2,X2))),unordered_pair(X3,X3))),rotate(X0)) ),
    inference(definition_unfolding,[],[f214,f227,f227,f227,f227]) ).

fof(f214,plain,
    ! [X2,X3,X0,X1] :
      ( member(ordered_pair(ordered_pair(X2,X3),X1),X0)
      | ~ member(ordered_pair(ordered_pair(X1,X2),X3),rotate(X0)) ),
    inference(cnf_transformation,[],[f128]) ).

fof(f805,plain,
    spl8_82,
    inference(avatar_split_clause,[],[f249,f803]) ).

fof(f249,plain,
    ! [X2,X3,X0,X1] :
      ( member(unordered_pair(unordered_pair(X2,X2),unordered_pair(X2,unordered_pair(X3,X3))),compose(X1,X0))
      | ~ member(X3,domain_of(domain_of(flip(cross_product(intersection(X1,cross_product(domain_of(domain_of(flip(cross_product(intersection(X0,cross_product(unordered_pair(X2,X2),universal_class)),universal_class)))),universal_class)),universal_class)))))
      | ~ member(X2,universal_class) ),
    inference(definition_unfolding,[],[f209,f227,f226,f226,f142]) ).

fof(f226,plain,
    ! [X0,X1] : image(X1,X0) = domain_of(domain_of(flip(cross_product(intersection(X1,cross_product(X0,universal_class)),universal_class)))),
    inference(definition_unfolding,[],[f164,f225,f195]) ).

fof(f195,plain,
    ! [X2,X0,X1] : restrict(X1,X0,X2) = intersection(X1,cross_product(X0,X2)),
    inference(cnf_transformation,[],[f60]) ).

fof(f60,plain,
    ! [X0,X1,X2] : restrict(X1,X0,X2) = intersection(X1,cross_product(X0,X2)),
    inference(rectify,[],[f15]) ).

fof(f15,axiom,
    ! [X0,X5,X1] : restrict(X5,X0,X1) = intersection(X5,cross_product(X0,X1)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',restrict_defn) ).

fof(f225,plain,
    ! [X0] : range_of(X0) = domain_of(domain_of(flip(cross_product(X0,universal_class)))),
    inference(definition_unfolding,[],[f141,f144]) ).

fof(f144,plain,
    ! [X0] : inverse(X0) = domain_of(flip(cross_product(X0,universal_class))),
    inference(cnf_transformation,[],[f47]) ).

fof(f47,plain,
    ! [X0] : inverse(X0) = domain_of(flip(cross_product(X0,universal_class))),
    inference(rectify,[],[f26]) ).

fof(f26,axiom,
    ! [X1] : inverse(X1) = domain_of(flip(cross_product(X1,universal_class))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',inverse_defn) ).

fof(f141,plain,
    ! [X0] : range_of(X0) = domain_of(inverse(X0)),
    inference(cnf_transformation,[],[f46]) ).

fof(f46,plain,
    ! [X0] : range_of(X0) = domain_of(inverse(X0)),
    inference(rectify,[],[f27]) ).

fof(f27,axiom,
    ! [X4] : range_of(X4) = domain_of(inverse(X4)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',range_of_defn) ).

fof(f164,plain,
    ! [X0,X1] : image(X1,X0) = range_of(restrict(X1,X0,universal_class)),
    inference(cnf_transformation,[],[f54]) ).

fof(f54,plain,
    ! [X0,X1] : image(X1,X0) = range_of(restrict(X1,X0,universal_class)),
    inference(rectify,[],[f28]) ).

fof(f28,axiom,
    ! [X0,X5] : image(X5,X0) = range_of(restrict(X5,X0,universal_class)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',image_defn) ).

fof(f209,plain,
    ! [X2,X3,X0,X1] :
      ( member(ordered_pair(X2,X3),compose(X1,X0))
      | ~ member(X3,image(X1,image(X0,singleton(X2))))
      | ~ member(X2,universal_class) ),
    inference(cnf_transformation,[],[f124]) ).

fof(f124,plain,
    ! [X0,X1,X2,X3] :
      ( ( member(ordered_pair(X2,X3),compose(X1,X0))
        | ~ member(X3,image(X1,image(X0,singleton(X2))))
        | ~ member(X2,universal_class) )
      & ( ( member(X3,image(X1,image(X0,singleton(X2))))
          & member(X2,universal_class) )
        | ~ member(ordered_pair(X2,X3),compose(X1,X0)) ) ),
    inference(flattening,[],[f123]) ).

fof(f123,plain,
    ! [X0,X1,X2,X3] :
      ( ( member(ordered_pair(X2,X3),compose(X1,X0))
        | ~ member(X3,image(X1,image(X0,singleton(X2))))
        | ~ member(X2,universal_class) )
      & ( ( member(X3,image(X1,image(X0,singleton(X2))))
          & member(X2,universal_class) )
        | ~ member(ordered_pair(X2,X3),compose(X1,X0)) ) ),
    inference(nnf_transformation,[],[f65]) ).

fof(f65,plain,
    ! [X0,X1,X2,X3] :
      ( member(ordered_pair(X2,X3),compose(X1,X0))
    <=> ( member(X3,image(X1,image(X0,singleton(X2))))
        & member(X2,universal_class) ) ),
    inference(rectify,[],[f36]) ).

fof(f36,axiom,
    ! [X5,X7,X2,X3] :
      ( member(ordered_pair(X2,X3),compose(X7,X5))
    <=> ( member(X3,image(X7,image(X5,singleton(X2))))
        & member(X2,universal_class) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',compose_defn2) ).

fof(f801,plain,
    spl8_81,
    inference(avatar_split_clause,[],[f250,f799]) ).

fof(f799,plain,
    ( spl8_81
  <=> ! [X0,X3,X2,X1] :
        ( member(X3,domain_of(domain_of(flip(cross_product(intersection(X1,cross_product(domain_of(domain_of(flip(cross_product(intersection(X0,cross_product(unordered_pair(X2,X2),universal_class)),universal_class)))),universal_class)),universal_class)))))
        | ~ member(unordered_pair(unordered_pair(X2,X2),unordered_pair(X2,unordered_pair(X3,X3))),compose(X1,X0)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_81])]) ).

fof(f250,plain,
    ! [X2,X3,X0,X1] :
      ( member(X3,domain_of(domain_of(flip(cross_product(intersection(X1,cross_product(domain_of(domain_of(flip(cross_product(intersection(X0,cross_product(unordered_pair(X2,X2),universal_class)),universal_class)))),universal_class)),universal_class)))))
      | ~ member(unordered_pair(unordered_pair(X2,X2),unordered_pair(X2,unordered_pair(X3,X3))),compose(X1,X0)) ),
    inference(definition_unfolding,[],[f208,f226,f226,f142,f227]) ).

fof(f208,plain,
    ! [X2,X3,X0,X1] :
      ( member(X3,image(X1,image(X0,singleton(X2))))
      | ~ member(ordered_pair(X2,X3),compose(X1,X0)) ),
    inference(cnf_transformation,[],[f124]) ).

fof(f797,plain,
    ( spl8_80
    | ~ spl8_1
    | ~ spl8_50 ),
    inference(avatar_split_clause,[],[f565,f542,f269,f795]) ).

fof(f565,plain,
    ( ! [X0] :
        ( member(X0,sum_class(sK1))
        | ~ member(X0,sK0) )
    | ~ spl8_1
    | ~ spl8_50 ),
    inference(resolution,[],[f543,f271]) ).

fof(f788,plain,
    spl8_79,
    inference(avatar_split_clause,[],[f265,f786]) ).

fof(f265,plain,
    ! [X0] :
      ( member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(union(X0,unordered_pair(X0,X0)),union(X0,unordered_pair(X0,X0))))),successor_relation)
      | ~ member(union(X0,unordered_pair(X0,X0)),universal_class)
      | ~ member(X0,universal_class) ),
    inference(equality_resolution,[],[f244]) ).

fof(f244,plain,
    ! [X0,X1] :
      ( member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),successor_relation)
      | union(X0,unordered_pair(X0,X0)) != X1
      | ~ member(X1,universal_class)
      | ~ member(X0,universal_class) ),
    inference(definition_unfolding,[],[f194,f227,f224]) ).

fof(f224,plain,
    ! [X0] : successor(X0) = union(X0,unordered_pair(X0,X0)),
    inference(definition_unfolding,[],[f143,f142]) ).

fof(f143,plain,
    ! [X0] : successor(X0) = union(X0,singleton(X0)),
    inference(cnf_transformation,[],[f23]) ).

fof(f23,axiom,
    ! [X0] : successor(X0) = union(X0,singleton(X0)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',successor_defn) ).

fof(f194,plain,
    ! [X0,X1] :
      ( member(ordered_pair(X0,X1),successor_relation)
      | successor(X0) != X1
      | ~ member(X1,universal_class)
      | ~ member(X0,universal_class) ),
    inference(cnf_transformation,[],[f116]) ).

fof(f116,plain,
    ! [X0,X1] :
      ( ( member(ordered_pair(X0,X1),successor_relation)
        | successor(X0) != X1
        | ~ member(X1,universal_class)
        | ~ member(X0,universal_class) )
      & ( ( successor(X0) = X1
          & member(X1,universal_class)
          & member(X0,universal_class) )
        | ~ member(ordered_pair(X0,X1),successor_relation) ) ),
    inference(flattening,[],[f115]) ).

fof(f115,plain,
    ! [X0,X1] :
      ( ( member(ordered_pair(X0,X1),successor_relation)
        | successor(X0) != X1
        | ~ member(X1,universal_class)
        | ~ member(X0,universal_class) )
      & ( ( successor(X0) = X1
          & member(X1,universal_class)
          & member(X0,universal_class) )
        | ~ member(ordered_pair(X0,X1),successor_relation) ) ),
    inference(nnf_transformation,[],[f25]) ).

fof(f25,axiom,
    ! [X0,X1] :
      ( member(ordered_pair(X0,X1),successor_relation)
    <=> ( successor(X0) = X1
        & member(X1,universal_class)
        & member(X0,universal_class) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',successor_relation_defn2) ).

fof(f762,plain,
    spl8_78,
    inference(avatar_split_clause,[],[f261,f760]) ).

fof(f261,plain,
    ! [X1] :
      ( member(sum_class(domain_of(domain_of(flip(cross_product(intersection(sK6,cross_product(unordered_pair(X1,X1),universal_class)),universal_class))))),X1)
      | null_class = X1
      | ~ member(X1,universal_class) ),
    inference(definition_unfolding,[],[f220,f228]) ).

fof(f228,plain,
    ! [X0,X1] : apply(X0,X1) = sum_class(domain_of(domain_of(flip(cross_product(intersection(X0,cross_product(unordered_pair(X1,X1),universal_class)),universal_class))))),
    inference(definition_unfolding,[],[f163,f226,f142]) ).

fof(f163,plain,
    ! [X0,X1] : apply(X0,X1) = sum_class(image(X0,singleton(X1))),
    inference(cnf_transformation,[],[f53]) ).

fof(f53,plain,
    ! [X0,X1] : apply(X0,X1) = sum_class(image(X0,singleton(X1))),
    inference(rectify,[],[f42]) ).

fof(f42,axiom,
    ! [X8,X1] : apply(X8,X1) = sum_class(image(X8,singleton(X1))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',apply_defn) ).

fof(f220,plain,
    ! [X1] :
      ( member(apply(sK6,X1),X1)
      | null_class = X1
      | ~ member(X1,universal_class) ),
    inference(cnf_transformation,[],[f132]) ).

fof(f132,plain,
    ( ! [X1] :
        ( member(apply(sK6,X1),X1)
        | null_class = X1
        | ~ member(X1,universal_class) )
    & function(sK6) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK6])],[f83,f131]) ).

fof(f131,plain,
    ( ? [X0] :
        ( ! [X1] :
            ( member(apply(X0,X1),X1)
            | null_class = X1
            | ~ member(X1,universal_class) )
        & function(X0) )
   => ( ! [X1] :
          ( member(apply(sK6,X1),X1)
          | null_class = X1
          | ~ member(X1,universal_class) )
      & function(sK6) ) ),
    introduced(choice_axiom,[]) ).

fof(f83,plain,
    ? [X0] :
      ( ! [X1] :
          ( member(apply(X0,X1),X1)
          | null_class = X1
          | ~ member(X1,universal_class) )
      & function(X0) ),
    inference(flattening,[],[f82]) ).

fof(f82,plain,
    ? [X0] :
      ( ! [X1] :
          ( member(apply(X0,X1),X1)
          | null_class = X1
          | ~ member(X1,universal_class) )
      & function(X0) ),
    inference(ennf_transformation,[],[f69]) ).

fof(f69,plain,
    ? [X0] :
      ( ! [X1] :
          ( member(X1,universal_class)
         => ( member(apply(X0,X1),X1)
            | null_class = X1 ) )
      & function(X0) ),
    inference(rectify,[],[f43]) ).

fof(f43,axiom,
    ? [X8] :
      ( ! [X1] :
          ( member(X1,universal_class)
         => ( member(apply(X8,X1),X1)
            | null_class = X1 ) )
      & function(X8) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',choice) ).

fof(f758,plain,
    spl8_77,
    inference(avatar_split_clause,[],[f248,f756]) ).

fof(f248,plain,
    ! [X2,X0,X1] :
      ( unordered_pair(unordered_pair(first(X2),first(X2)),unordered_pair(first(X2),unordered_pair(second(X2),second(X2)))) = X2
      | ~ member(X2,cross_product(X0,X1)) ),
    inference(definition_unfolding,[],[f196,f227]) ).

fof(f196,plain,
    ! [X2,X0,X1] :
      ( ordered_pair(first(X2),second(X2)) = X2
      | ~ member(X2,cross_product(X0,X1)) ),
    inference(cnf_transformation,[],[f81]) ).

fof(f81,plain,
    ! [X0,X1,X2] :
      ( ordered_pair(first(X2),second(X2)) = X2
      | ~ member(X2,cross_product(X0,X1)) ),
    inference(ennf_transformation,[],[f61]) ).

fof(f61,plain,
    ! [X0,X1,X2] :
      ( member(X2,cross_product(X0,X1))
     => ordered_pair(first(X2),second(X2)) = X2 ),
    inference(rectify,[],[f10]) ).

fof(f10,axiom,
    ! [X0,X1,X4] :
      ( member(X4,cross_product(X0,X1))
     => ordered_pair(first(X4),second(X4)) = X4 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cross_product) ).

fof(f745,plain,
    spl8_76,
    inference(avatar_split_clause,[],[f252,f743]) ).

fof(f252,plain,
    ! [X2,X3,X0,X1] :
      ( member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),cross_product(X2,X3))
      | ~ member(X1,X3)
      | ~ member(X0,X2) ),
    inference(definition_unfolding,[],[f212,f227]) ).

fof(f212,plain,
    ! [X2,X3,X0,X1] :
      ( member(ordered_pair(X0,X1),cross_product(X2,X3))
      | ~ member(X1,X3)
      | ~ member(X0,X2) ),
    inference(cnf_transformation,[],[f126]) ).

fof(f126,plain,
    ! [X0,X1,X2,X3] :
      ( ( member(ordered_pair(X0,X1),cross_product(X2,X3))
        | ~ member(X1,X3)
        | ~ member(X0,X2) )
      & ( ( member(X1,X3)
          & member(X0,X2) )
        | ~ member(ordered_pair(X0,X1),cross_product(X2,X3)) ) ),
    inference(flattening,[],[f125]) ).

fof(f125,plain,
    ! [X0,X1,X2,X3] :
      ( ( member(ordered_pair(X0,X1),cross_product(X2,X3))
        | ~ member(X1,X3)
        | ~ member(X0,X2) )
      & ( ( member(X1,X3)
          & member(X0,X2) )
        | ~ member(ordered_pair(X0,X1),cross_product(X2,X3)) ) ),
    inference(nnf_transformation,[],[f66]) ).

fof(f66,plain,
    ! [X0,X1,X2,X3] :
      ( member(ordered_pair(X0,X1),cross_product(X2,X3))
    <=> ( member(X1,X3)
        & member(X0,X2) ) ),
    inference(rectify,[],[f8]) ).

fof(f8,axiom,
    ! [X2,X3,X0,X1] :
      ( member(ordered_pair(X2,X3),cross_product(X0,X1))
    <=> ( member(X3,X1)
        & member(X2,X0) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cross_product_defn) ).

fof(f741,plain,
    spl8_75,
    inference(avatar_split_clause,[],[f235,f739]) ).

fof(f235,plain,
    ! [X0] :
      ( unordered_pair(unordered_pair(sK3(X0),sK3(X0)),unordered_pair(sK3(X0),unordered_pair(sK3(X0),sK3(X0)))) = X0
      | ~ member(X0,identity_relation) ),
    inference(definition_unfolding,[],[f159,f227]) ).

fof(f159,plain,
    ! [X0] :
      ( ordered_pair(sK3(X0),sK3(X0)) = X0
      | ~ member(X0,identity_relation) ),
    inference(cnf_transformation,[],[f96]) ).

fof(f96,plain,
    ! [X0] :
      ( ( member(X0,identity_relation)
        | ! [X1] :
            ( ordered_pair(X1,X1) != X0
            | ~ member(X1,universal_class) ) )
      & ( ( ordered_pair(sK3(X0),sK3(X0)) = X0
          & member(sK3(X0),universal_class) )
        | ~ member(X0,identity_relation) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK3])],[f94,f95]) ).

fof(f95,plain,
    ! [X0] :
      ( ? [X2] :
          ( ordered_pair(X2,X2) = X0
          & member(X2,universal_class) )
     => ( ordered_pair(sK3(X0),sK3(X0)) = X0
        & member(sK3(X0),universal_class) ) ),
    introduced(choice_axiom,[]) ).

fof(f94,plain,
    ! [X0] :
      ( ( member(X0,identity_relation)
        | ! [X1] :
            ( ordered_pair(X1,X1) != X0
            | ~ member(X1,universal_class) ) )
      & ( ? [X2] :
            ( ordered_pair(X2,X2) = X0
            & member(X2,universal_class) )
        | ~ member(X0,identity_relation) ) ),
    inference(rectify,[],[f93]) ).

fof(f93,plain,
    ! [X0] :
      ( ( member(X0,identity_relation)
        | ! [X1] :
            ( ordered_pair(X1,X1) != X0
            | ~ member(X1,universal_class) ) )
      & ( ? [X1] :
            ( ordered_pair(X1,X1) = X0
            & member(X1,universal_class) )
        | ~ member(X0,identity_relation) ) ),
    inference(nnf_transformation,[],[f51]) ).

fof(f51,plain,
    ! [X0] :
      ( member(X0,identity_relation)
    <=> ? [X1] :
          ( ordered_pair(X1,X1) = X0
          & member(X1,universal_class) ) ),
    inference(rectify,[],[f37]) ).

fof(f37,axiom,
    ! [X4] :
      ( member(X4,identity_relation)
    <=> ? [X0] :
          ( ordered_pair(X0,X0) = X4
          & member(X0,universal_class) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',identity_relation) ).

fof(f708,plain,
    spl8_74,
    inference(avatar_split_clause,[],[f245,f706]) ).

fof(f706,plain,
    ( spl8_74
  <=> ! [X0,X1] :
        ( union(X0,unordered_pair(X0,X0)) = X1
        | ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),successor_relation) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_74])]) ).

fof(f245,plain,
    ! [X0,X1] :
      ( union(X0,unordered_pair(X0,X0)) = X1
      | ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),successor_relation) ),
    inference(definition_unfolding,[],[f193,f224,f227]) ).

fof(f193,plain,
    ! [X0,X1] :
      ( successor(X0) = X1
      | ~ member(ordered_pair(X0,X1),successor_relation) ),
    inference(cnf_transformation,[],[f116]) ).

fof(f704,plain,
    spl8_73,
    inference(avatar_split_clause,[],[f238,f702]) ).

fof(f238,plain,
    ! [X0,X1] :
      ( first(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1)))) = X0
      | ~ member(X1,universal_class)
      | ~ member(X0,universal_class) ),
    inference(definition_unfolding,[],[f167,f227]) ).

fof(f167,plain,
    ! [X0,X1] :
      ( first(ordered_pair(X0,X1)) = X0
      | ~ member(X1,universal_class)
      | ~ member(X0,universal_class) ),
    inference(cnf_transformation,[],[f78]) ).

fof(f78,plain,
    ! [X0,X1] :
      ( ( second(ordered_pair(X0,X1)) = X1
        & first(ordered_pair(X0,X1)) = X0 )
      | ~ member(X1,universal_class)
      | ~ member(X0,universal_class) ),
    inference(flattening,[],[f77]) ).

fof(f77,plain,
    ! [X0,X1] :
      ( ( second(ordered_pair(X0,X1)) = X1
        & first(ordered_pair(X0,X1)) = X0 )
      | ~ member(X1,universal_class)
      | ~ member(X0,universal_class) ),
    inference(ennf_transformation,[],[f9]) ).

fof(f9,axiom,
    ! [X0,X1] :
      ( ( member(X1,universal_class)
        & member(X0,universal_class) )
     => ( second(ordered_pair(X0,X1)) = X1
        & first(ordered_pair(X0,X1)) = X0 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',first_second) ).

fof(f700,plain,
    spl8_72,
    inference(avatar_split_clause,[],[f237,f698]) ).

fof(f237,plain,
    ! [X0,X1] :
      ( second(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1)))) = X1
      | ~ member(X1,universal_class)
      | ~ member(X0,universal_class) ),
    inference(definition_unfolding,[],[f168,f227]) ).

fof(f168,plain,
    ! [X0,X1] :
      ( second(ordered_pair(X0,X1)) = X1
      | ~ member(X1,universal_class)
      | ~ member(X0,universal_class) ),
    inference(cnf_transformation,[],[f78]) ).

fof(f687,plain,
    spl8_71,
    inference(avatar_split_clause,[],[f241,f685]) ).

fof(f241,plain,
    ! [X0,X1] :
      ( member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),element_relation)
      | ~ member(X0,X1)
      | ~ member(X1,universal_class) ),
    inference(definition_unfolding,[],[f190,f227]) ).

fof(f190,plain,
    ! [X0,X1] :
      ( member(ordered_pair(X0,X1),element_relation)
      | ~ member(X0,X1)
      | ~ member(X1,universal_class) ),
    inference(cnf_transformation,[],[f114]) ).

fof(f114,plain,
    ! [X0,X1] :
      ( ( member(ordered_pair(X0,X1),element_relation)
        | ~ member(X0,X1)
        | ~ member(X1,universal_class) )
      & ( ( member(X0,X1)
          & member(X1,universal_class) )
        | ~ member(ordered_pair(X0,X1),element_relation) ) ),
    inference(flattening,[],[f113]) ).

fof(f113,plain,
    ! [X0,X1] :
      ( ( member(ordered_pair(X0,X1),element_relation)
        | ~ member(X0,X1)
        | ~ member(X1,universal_class) )
      & ( ( member(X0,X1)
          & member(X1,universal_class) )
        | ~ member(ordered_pair(X0,X1),element_relation) ) ),
    inference(nnf_transformation,[],[f11]) ).

fof(f11,axiom,
    ! [X0,X1] :
      ( member(ordered_pair(X0,X1),element_relation)
    <=> ( member(X0,X1)
        & member(X1,universal_class) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',element_relation_defn) ).

fof(f683,plain,
    ( spl8_70
    | ~ spl8_44
    | ~ spl8_60 ),
    inference(avatar_split_clause,[],[f654,f630,f482,f681]) ).

fof(f654,plain,
    ( ! [X0] :
        ( member(sK0,X0)
        | ~ subclass(universal_class,X0) )
    | ~ spl8_44
    | ~ spl8_60 ),
    inference(resolution,[],[f632,f483]) ).

fof(f679,plain,
    spl8_69,
    inference(avatar_split_clause,[],[f236,f677]) ).

fof(f236,plain,
    ! [X0,X1] :
      ( member(domain_of(domain_of(flip(cross_product(intersection(X1,cross_product(X0,universal_class)),universal_class)))),universal_class)
      | ~ function(X1)
      | ~ member(X0,universal_class) ),
    inference(definition_unfolding,[],[f166,f226]) ).

fof(f166,plain,
    ! [X0,X1] :
      ( member(image(X1,X0),universal_class)
      | ~ function(X1)
      | ~ member(X0,universal_class) ),
    inference(cnf_transformation,[],[f76]) ).

fof(f76,plain,
    ! [X0,X1] :
      ( member(image(X1,X0),universal_class)
      | ~ function(X1)
      | ~ member(X0,universal_class) ),
    inference(flattening,[],[f75]) ).

fof(f75,plain,
    ! [X0,X1] :
      ( member(image(X1,X0),universal_class)
      | ~ function(X1)
      | ~ member(X0,universal_class) ),
    inference(ennf_transformation,[],[f55]) ).

fof(f55,plain,
    ! [X0,X1] :
      ( ( function(X1)
        & member(X0,universal_class) )
     => member(image(X1,X0),universal_class) ),
    inference(rectify,[],[f39]) ).

fof(f39,axiom,
    ! [X0,X8] :
      ( ( function(X8)
        & member(X0,universal_class) )
     => member(image(X8,X0),universal_class) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',replacement) ).

fof(f675,plain,
    spl8_68,
    inference(avatar_split_clause,[],[f230,f673]) ).

fof(f230,plain,
    ! [X0] :
      ( inductive(X0)
      | ~ subclass(domain_of(domain_of(flip(cross_product(intersection(successor_relation,cross_product(X0,universal_class)),universal_class)))),X0)
      | ~ member(null_class,X0) ),
    inference(definition_unfolding,[],[f154,f226]) ).

fof(f154,plain,
    ! [X0] :
      ( inductive(X0)
      | ~ subclass(image(successor_relation,X0),X0)
      | ~ member(null_class,X0) ),
    inference(cnf_transformation,[],[f90]) ).

fof(f90,plain,
    ! [X0] :
      ( ( inductive(X0)
        | ~ subclass(image(successor_relation,X0),X0)
        | ~ member(null_class,X0) )
      & ( ( subclass(image(successor_relation,X0),X0)
          & member(null_class,X0) )
        | ~ inductive(X0) ) ),
    inference(flattening,[],[f89]) ).

fof(f89,plain,
    ! [X0] :
      ( ( inductive(X0)
        | ~ subclass(image(successor_relation,X0),X0)
        | ~ member(null_class,X0) )
      & ( ( subclass(image(successor_relation,X0),X0)
          & member(null_class,X0) )
        | ~ inductive(X0) ) ),
    inference(nnf_transformation,[],[f29]) ).

fof(f29,axiom,
    ! [X0] :
      ( inductive(X0)
    <=> ( subclass(image(successor_relation,X0),X0)
        & member(null_class,X0) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',inductive_defn) ).

fof(f666,plain,
    spl8_67,
    inference(avatar_split_clause,[],[f254,f664]) ).

fof(f254,plain,
    ! [X2,X3,X0,X1] :
      ( member(X0,X2)
      | ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),cross_product(X2,X3)) ),
    inference(definition_unfolding,[],[f210,f227]) ).

fof(f210,plain,
    ! [X2,X3,X0,X1] :
      ( member(X0,X2)
      | ~ member(ordered_pair(X0,X1),cross_product(X2,X3)) ),
    inference(cnf_transformation,[],[f126]) ).

fof(f662,plain,
    spl8_66,
    inference(avatar_split_clause,[],[f253,f660]) ).

fof(f253,plain,
    ! [X2,X3,X0,X1] :
      ( member(X1,X3)
      | ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),cross_product(X2,X3)) ),
    inference(definition_unfolding,[],[f211,f227]) ).

fof(f211,plain,
    ! [X2,X3,X0,X1] :
      ( member(X1,X3)
      | ~ member(ordered_pair(X0,X1),cross_product(X2,X3)) ),
    inference(cnf_transformation,[],[f126]) ).

fof(f658,plain,
    spl8_65,
    inference(avatar_split_clause,[],[f251,f656]) ).

fof(f251,plain,
    ! [X2,X3,X0,X1] :
      ( member(X2,universal_class)
      | ~ member(unordered_pair(unordered_pair(X2,X2),unordered_pair(X2,unordered_pair(X3,X3))),compose(X1,X0)) ),
    inference(definition_unfolding,[],[f207,f227]) ).

fof(f207,plain,
    ! [X2,X3,X0,X1] :
      ( member(X2,universal_class)
      | ~ member(ordered_pair(X2,X3),compose(X1,X0)) ),
    inference(cnf_transformation,[],[f124]) ).

fof(f652,plain,
    spl8_64,
    inference(avatar_split_clause,[],[f239,f650]) ).

fof(f239,plain,
    ! [X0,X1] :
      ( member(X1,domain_of(X0))
      | null_class = intersection(X0,cross_product(unordered_pair(X1,X1),universal_class))
      | ~ member(X1,universal_class) ),
    inference(definition_unfolding,[],[f184,f195,f142]) ).

fof(f184,plain,
    ! [X0,X1] :
      ( member(X1,domain_of(X0))
      | null_class = restrict(X0,singleton(X1),universal_class)
      | ~ member(X1,universal_class) ),
    inference(cnf_transformation,[],[f108]) ).

fof(f108,plain,
    ! [X0,X1] :
      ( ( member(X1,domain_of(X0))
        | null_class = restrict(X0,singleton(X1),universal_class)
        | ~ member(X1,universal_class) )
      & ( ( null_class != restrict(X0,singleton(X1),universal_class)
          & member(X1,universal_class) )
        | ~ member(X1,domain_of(X0)) ) ),
    inference(flattening,[],[f107]) ).

fof(f107,plain,
    ! [X0,X1] :
      ( ( member(X1,domain_of(X0))
        | null_class = restrict(X0,singleton(X1),universal_class)
        | ~ member(X1,universal_class) )
      & ( ( null_class != restrict(X0,singleton(X1),universal_class)
          & member(X1,universal_class) )
        | ~ member(X1,domain_of(X0)) ) ),
    inference(nnf_transformation,[],[f58]) ).

fof(f58,plain,
    ! [X0,X1] :
      ( member(X1,domain_of(X0))
    <=> ( null_class != restrict(X0,singleton(X1),universal_class)
        & member(X1,universal_class) ) ),
    inference(rectify,[],[f17]) ).

fof(f17,axiom,
    ! [X0,X4] :
      ( member(X4,domain_of(X0))
    <=> ( null_class != restrict(X0,singleton(X4),universal_class)
        & member(X4,universal_class) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',domain_of) ).

fof(f648,plain,
    spl8_63,
    inference(avatar_split_clause,[],[f232,f646]) ).

fof(f646,plain,
    ( spl8_63
  <=> ! [X0] :
        ( function(X0)
        | ~ subclass(compose(X0,domain_of(flip(cross_product(X0,universal_class)))),identity_relation)
        | ~ subclass(X0,cross_product(universal_class,universal_class)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_63])]) ).

fof(f232,plain,
    ! [X0] :
      ( function(X0)
      | ~ subclass(compose(X0,domain_of(flip(cross_product(X0,universal_class)))),identity_relation)
      | ~ subclass(X0,cross_product(universal_class,universal_class)) ),
    inference(definition_unfolding,[],[f157,f144]) ).

fof(f157,plain,
    ! [X0] :
      ( function(X0)
      | ~ subclass(compose(X0,inverse(X0)),identity_relation)
      | ~ subclass(X0,cross_product(universal_class,universal_class)) ),
    inference(cnf_transformation,[],[f92]) ).

fof(f92,plain,
    ! [X0] :
      ( ( function(X0)
        | ~ subclass(compose(X0,inverse(X0)),identity_relation)
        | ~ subclass(X0,cross_product(universal_class,universal_class)) )
      & ( ( subclass(compose(X0,inverse(X0)),identity_relation)
          & subclass(X0,cross_product(universal_class,universal_class)) )
        | ~ function(X0) ) ),
    inference(flattening,[],[f91]) ).

fof(f91,plain,
    ! [X0] :
      ( ( function(X0)
        | ~ subclass(compose(X0,inverse(X0)),identity_relation)
        | ~ subclass(X0,cross_product(universal_class,universal_class)) )
      & ( ( subclass(compose(X0,inverse(X0)),identity_relation)
          & subclass(X0,cross_product(universal_class,universal_class)) )
        | ~ function(X0) ) ),
    inference(nnf_transformation,[],[f50]) ).

fof(f50,plain,
    ! [X0] :
      ( function(X0)
    <=> ( subclass(compose(X0,inverse(X0)),identity_relation)
        & subclass(X0,cross_product(universal_class,universal_class)) ) ),
    inference(rectify,[],[f38]) ).

fof(f38,axiom,
    ! [X8] :
      ( function(X8)
    <=> ( subclass(compose(X8,inverse(X8)),identity_relation)
        & subclass(X8,cross_product(universal_class,universal_class)) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',function_defn) ).

fof(f641,plain,
    spl8_62,
    inference(avatar_split_clause,[],[f262,f639]) ).

fof(f262,plain,
    ! [X1] :
      ( member(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X1,X1))),identity_relation)
      | ~ member(X1,universal_class) ),
    inference(equality_resolution,[],[f234]) ).

fof(f234,plain,
    ! [X0,X1] :
      ( member(X0,identity_relation)
      | unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X1,X1))) != X0
      | ~ member(X1,universal_class) ),
    inference(definition_unfolding,[],[f160,f227]) ).

fof(f160,plain,
    ! [X0,X1] :
      ( member(X0,identity_relation)
      | ordered_pair(X1,X1) != X0
      | ~ member(X1,universal_class) ),
    inference(cnf_transformation,[],[f96]) ).

fof(f637,plain,
    spl8_61,
    inference(avatar_split_clause,[],[f247,f635]) ).

fof(f247,plain,
    ! [X0,X1] :
      ( member(X0,universal_class)
      | ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),successor_relation) ),
    inference(definition_unfolding,[],[f191,f227]) ).

fof(f191,plain,
    ! [X0,X1] :
      ( member(X0,universal_class)
      | ~ member(ordered_pair(X0,X1),successor_relation) ),
    inference(cnf_transformation,[],[f116]) ).

fof(f633,plain,
    ( spl8_60
    | ~ spl8_6
    | ~ spl8_47 ),
    inference(avatar_split_clause,[],[f588,f530,f293,f630]) ).

fof(f588,plain,
    ( member(sK0,universal_class)
    | ~ spl8_6
    | ~ spl8_47 ),
    inference(resolution,[],[f531,f294]) ).

fof(f628,plain,
    spl8_59,
    inference(avatar_split_clause,[],[f246,f626]) ).

fof(f246,plain,
    ! [X0,X1] :
      ( member(X1,universal_class)
      | ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),successor_relation) ),
    inference(definition_unfolding,[],[f192,f227]) ).

fof(f192,plain,
    ! [X0,X1] :
      ( member(X1,universal_class)
      | ~ member(ordered_pair(X0,X1),successor_relation) ),
    inference(cnf_transformation,[],[f116]) ).

fof(f624,plain,
    spl8_58,
    inference(avatar_split_clause,[],[f243,f622]) ).

fof(f243,plain,
    ! [X0,X1] :
      ( member(X1,universal_class)
      | ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),element_relation) ),
    inference(definition_unfolding,[],[f188,f227]) ).

fof(f188,plain,
    ! [X0,X1] :
      ( member(X1,universal_class)
      | ~ member(ordered_pair(X0,X1),element_relation) ),
    inference(cnf_transformation,[],[f114]) ).

fof(f620,plain,
    spl8_57,
    inference(avatar_split_clause,[],[f242,f618]) ).

fof(f242,plain,
    ! [X0,X1] :
      ( member(X0,X1)
      | ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),element_relation) ),
    inference(definition_unfolding,[],[f189,f227]) ).

fof(f189,plain,
    ! [X0,X1] :
      ( member(X0,X1)
      | ~ member(ordered_pair(X0,X1),element_relation) ),
    inference(cnf_transformation,[],[f114]) ).

fof(f616,plain,
    spl8_56,
    inference(avatar_split_clause,[],[f231,f614]) ).

fof(f231,plain,
    ! [X0] :
      ( subclass(domain_of(domain_of(flip(cross_product(intersection(successor_relation,cross_product(X0,universal_class)),universal_class)))),X0)
      | ~ inductive(X0) ),
    inference(definition_unfolding,[],[f153,f226]) ).

fof(f153,plain,
    ! [X0] :
      ( subclass(image(successor_relation,X0),X0)
      | ~ inductive(X0) ),
    inference(cnf_transformation,[],[f90]) ).

fof(f612,plain,
    spl8_55,
    inference(avatar_split_clause,[],[f240,f610]) ).

fof(f610,plain,
    ( spl8_55
  <=> ! [X0,X1] :
        ( null_class != intersection(X0,cross_product(unordered_pair(X1,X1),universal_class))
        | ~ member(X1,domain_of(X0)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_55])]) ).

fof(f240,plain,
    ! [X0,X1] :
      ( null_class != intersection(X0,cross_product(unordered_pair(X1,X1),universal_class))
      | ~ member(X1,domain_of(X0)) ),
    inference(definition_unfolding,[],[f183,f195,f142]) ).

fof(f183,plain,
    ! [X0,X1] :
      ( null_class != restrict(X0,singleton(X1),universal_class)
      | ~ member(X1,domain_of(X0)) ),
    inference(cnf_transformation,[],[f108]) ).

fof(f587,plain,
    spl8_54,
    inference(avatar_split_clause,[],[f233,f585]) ).

fof(f233,plain,
    ! [X0] :
      ( subclass(compose(X0,domain_of(flip(cross_product(X0,universal_class)))),identity_relation)
      | ~ function(X0) ),
    inference(definition_unfolding,[],[f156,f144]) ).

fof(f156,plain,
    ! [X0] :
      ( subclass(compose(X0,inverse(X0)),identity_relation)
      | ~ function(X0) ),
    inference(cnf_transformation,[],[f92]) ).

fof(f583,plain,
    spl8_53,
    inference(avatar_split_clause,[],[f204,f581]) ).

fof(f204,plain,
    ! [X2,X0,X1] :
      ( X0 = X2
      | X0 = X1
      | ~ member(X0,unordered_pair(X1,X2)) ),
    inference(cnf_transformation,[],[f122]) ).

fof(f122,plain,
    ! [X0,X1,X2] :
      ( ( member(X0,unordered_pair(X1,X2))
        | ( X0 != X2
          & X0 != X1 )
        | ~ member(X0,universal_class) )
      & ( ( ( X0 = X2
            | X0 = X1 )
          & member(X0,universal_class) )
        | ~ member(X0,unordered_pair(X1,X2)) ) ),
    inference(flattening,[],[f121]) ).

fof(f121,plain,
    ! [X0,X1,X2] :
      ( ( member(X0,unordered_pair(X1,X2))
        | ( X0 != X2
          & X0 != X1 )
        | ~ member(X0,universal_class) )
      & ( ( ( X0 = X2
            | X0 = X1 )
          & member(X0,universal_class) )
        | ~ member(X0,unordered_pair(X1,X2)) ) ),
    inference(nnf_transformation,[],[f64]) ).

fof(f64,plain,
    ! [X0,X1,X2] :
      ( member(X0,unordered_pair(X1,X2))
    <=> ( ( X0 = X2
          | X0 = X1 )
        & member(X0,universal_class) ) ),
    inference(rectify,[],[f4]) ).

fof(f4,axiom,
    ! [X2,X0,X1] :
      ( member(X2,unordered_pair(X0,X1))
    <=> ( ( X1 = X2
          | X0 = X2 )
        & member(X2,universal_class) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unordered_pair_defn) ).

fof(f579,plain,
    spl8_52,
    inference(avatar_split_clause,[],[f200,f577]) ).

fof(f200,plain,
    ! [X2,X0,X1] :
      ( member(X2,X1)
      | member(X2,X0)
      | ~ member(X2,union(X0,X1)) ),
    inference(cnf_transformation,[],[f120]) ).

fof(f120,plain,
    ! [X0,X1,X2] :
      ( ( member(X2,union(X0,X1))
        | ( ~ member(X2,X1)
          & ~ member(X2,X0) ) )
      & ( member(X2,X1)
        | member(X2,X0)
        | ~ member(X2,union(X0,X1)) ) ),
    inference(flattening,[],[f119]) ).

fof(f119,plain,
    ! [X0,X1,X2] :
      ( ( member(X2,union(X0,X1))
        | ( ~ member(X2,X1)
          & ~ member(X2,X0) ) )
      & ( member(X2,X1)
        | member(X2,X0)
        | ~ member(X2,union(X0,X1)) ) ),
    inference(nnf_transformation,[],[f63]) ).

fof(f63,plain,
    ! [X0,X1,X2] :
      ( member(X2,union(X0,X1))
    <=> ( member(X2,X1)
        | member(X2,X0) ) ),
    inference(rectify,[],[f22]) ).

fof(f22,axiom,
    ! [X0,X1,X4] :
      ( member(X4,union(X0,X1))
    <=> ( member(X4,X1)
        | member(X4,X0) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',union_defn) ).

fof(f575,plain,
    spl8_51,
    inference(avatar_split_clause,[],[f199,f573]) ).

fof(f199,plain,
    ! [X2,X0,X1] :
      ( member(X2,intersection(X0,X1))
      | ~ member(X2,X1)
      | ~ member(X2,X0) ),
    inference(cnf_transformation,[],[f118]) ).

fof(f118,plain,
    ! [X0,X1,X2] :
      ( ( member(X2,intersection(X0,X1))
        | ~ member(X2,X1)
        | ~ member(X2,X0) )
      & ( ( member(X2,X1)
          & member(X2,X0) )
        | ~ member(X2,intersection(X0,X1)) ) ),
    inference(flattening,[],[f117]) ).

fof(f117,plain,
    ! [X0,X1,X2] :
      ( ( member(X2,intersection(X0,X1))
        | ~ member(X2,X1)
        | ~ member(X2,X0) )
      & ( ( member(X2,X1)
          & member(X2,X0) )
        | ~ member(X2,intersection(X0,X1)) ) ),
    inference(nnf_transformation,[],[f62]) ).

fof(f62,plain,
    ! [X0,X1,X2] :
      ( member(X2,intersection(X0,X1))
    <=> ( member(X2,X1)
        & member(X2,X0) ) ),
    inference(rectify,[],[f13]) ).

fof(f13,axiom,
    ! [X0,X1,X4] :
      ( member(X4,intersection(X0,X1))
    <=> ( member(X4,X1)
        & member(X4,X0) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',intersection) ).

fof(f544,plain,
    spl8_50,
    inference(avatar_split_clause,[],[f187,f542]) ).

fof(f187,plain,
    ! [X2,X0,X1] :
      ( member(X0,sum_class(X1))
      | ~ member(X2,X1)
      | ~ member(X0,X2) ),
    inference(cnf_transformation,[],[f112]) ).

fof(f112,plain,
    ! [X0,X1] :
      ( ( member(X0,sum_class(X1))
        | ! [X2] :
            ( ~ member(X2,X1)
            | ~ member(X0,X2) ) )
      & ( ( member(sK5(X0,X1),X1)
          & member(X0,sK5(X0,X1)) )
        | ~ member(X0,sum_class(X1)) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK5])],[f110,f111]) ).

fof(f111,plain,
    ! [X0,X1] :
      ( ? [X3] :
          ( member(X3,X1)
          & member(X0,X3) )
     => ( member(sK5(X0,X1),X1)
        & member(X0,sK5(X0,X1)) ) ),
    introduced(choice_axiom,[]) ).

fof(f110,plain,
    ! [X0,X1] :
      ( ( member(X0,sum_class(X1))
        | ! [X2] :
            ( ~ member(X2,X1)
            | ~ member(X0,X2) ) )
      & ( ? [X3] :
            ( member(X3,X1)
            & member(X0,X3) )
        | ~ member(X0,sum_class(X1)) ) ),
    inference(rectify,[],[f109]) ).

fof(f109,plain,
    ! [X0,X1] :
      ( ( member(X0,sum_class(X1))
        | ! [X2] :
            ( ~ member(X2,X1)
            | ~ member(X0,X2) ) )
      & ( ? [X2] :
            ( member(X2,X1)
            & member(X0,X2) )
        | ~ member(X0,sum_class(X1)) ) ),
    inference(nnf_transformation,[],[f59]) ).

fof(f59,plain,
    ! [X0,X1] :
      ( member(X0,sum_class(X1))
    <=> ? [X2] :
          ( member(X2,X1)
          & member(X0,X2) ) ),
    inference(rectify,[],[f31]) ).

fof(f31,axiom,
    ! [X2,X0] :
      ( member(X2,sum_class(X0))
    <=> ? [X1] :
          ( member(X1,X0)
          & member(X2,X1) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sum_class_defn) ).

fof(f540,plain,
    spl8_49,
    inference(avatar_split_clause,[],[f181,f538]) ).

fof(f181,plain,
    ! [X0,X1] :
      ( member(X0,power_class(X1))
      | ~ subclass(X0,X1)
      | ~ member(X0,universal_class) ),
    inference(cnf_transformation,[],[f106]) ).

fof(f106,plain,
    ! [X0,X1] :
      ( ( member(X0,power_class(X1))
        | ~ subclass(X0,X1)
        | ~ member(X0,universal_class) )
      & ( ( subclass(X0,X1)
          & member(X0,universal_class) )
        | ~ member(X0,power_class(X1)) ) ),
    inference(flattening,[],[f105]) ).

fof(f105,plain,
    ! [X0,X1] :
      ( ( member(X0,power_class(X1))
        | ~ subclass(X0,X1)
        | ~ member(X0,universal_class) )
      & ( ( subclass(X0,X1)
          & member(X0,universal_class) )
        | ~ member(X0,power_class(X1)) ) ),
    inference(nnf_transformation,[],[f57]) ).

fof(f57,plain,
    ! [X0,X1] :
      ( member(X0,power_class(X1))
    <=> ( subclass(X0,X1)
        & member(X0,universal_class) ) ),
    inference(rectify,[],[f33]) ).

fof(f33,axiom,
    ! [X2,X0] :
      ( member(X2,power_class(X0))
    <=> ( subclass(X2,X0)
        & member(X2,universal_class) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',power_class_defn) ).

fof(f536,plain,
    spl8_48,
    inference(avatar_split_clause,[],[f178,f534]) ).

fof(f178,plain,
    ! [X0,X1] :
      ( member(X1,complement(X0))
      | member(X1,X0)
      | ~ member(X1,universal_class) ),
    inference(cnf_transformation,[],[f104]) ).

fof(f104,plain,
    ! [X0,X1] :
      ( ( member(X1,complement(X0))
        | member(X1,X0)
        | ~ member(X1,universal_class) )
      & ( ( ~ member(X1,X0)
          & member(X1,universal_class) )
        | ~ member(X1,complement(X0)) ) ),
    inference(flattening,[],[f103]) ).

fof(f103,plain,
    ! [X0,X1] :
      ( ( member(X1,complement(X0))
        | member(X1,X0)
        | ~ member(X1,universal_class) )
      & ( ( ~ member(X1,X0)
          & member(X1,universal_class) )
        | ~ member(X1,complement(X0)) ) ),
    inference(nnf_transformation,[],[f56]) ).

fof(f56,plain,
    ! [X0,X1] :
      ( member(X1,complement(X0))
    <=> ( ~ member(X1,X0)
        & member(X1,universal_class) ) ),
    inference(rectify,[],[f14]) ).

fof(f14,axiom,
    ! [X0,X4] :
      ( member(X4,complement(X0))
    <=> ( ~ member(X4,X0)
        & member(X4,universal_class) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',complement) ).

fof(f532,plain,
    ( spl8_47
    | ~ spl8_1
    | ~ spl8_44 ),
    inference(avatar_split_clause,[],[f512,f482,f269,f530]) ).

fof(f512,plain,
    ( ! [X0] :
        ( member(sK0,X0)
        | ~ subclass(sK1,X0) )
    | ~ spl8_1
    | ~ spl8_44 ),
    inference(resolution,[],[f483,f271]) ).

fof(f492,plain,
    spl8_46,
    inference(avatar_split_clause,[],[f186,f490]) ).

fof(f186,plain,
    ! [X0,X1] :
      ( member(sK5(X0,X1),X1)
      | ~ member(X0,sum_class(X1)) ),
    inference(cnf_transformation,[],[f112]) ).

fof(f488,plain,
    spl8_45,
    inference(avatar_split_clause,[],[f185,f486]) ).

fof(f185,plain,
    ! [X0,X1] :
      ( member(X0,sK5(X0,X1))
      | ~ member(X0,sum_class(X1)) ),
    inference(cnf_transformation,[],[f112]) ).

fof(f484,plain,
    spl8_44,
    inference(avatar_split_clause,[],[f173,f482]) ).

fof(f173,plain,
    ! [X3,X0,X1] :
      ( member(X3,X1)
      | ~ member(X3,X0)
      | ~ subclass(X0,X1) ),
    inference(cnf_transformation,[],[f102]) ).

fof(f102,plain,
    ! [X0,X1] :
      ( ( subclass(X0,X1)
        | ( ~ member(sK4(X0,X1),X1)
          & member(sK4(X0,X1),X0) ) )
      & ( ! [X3] :
            ( member(X3,X1)
            | ~ member(X3,X0) )
        | ~ subclass(X0,X1) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK4])],[f100,f101]) ).

fof(f101,plain,
    ! [X0,X1] :
      ( ? [X2] :
          ( ~ member(X2,X1)
          & member(X2,X0) )
     => ( ~ member(sK4(X0,X1),X1)
        & member(sK4(X0,X1),X0) ) ),
    introduced(choice_axiom,[]) ).

fof(f100,plain,
    ! [X0,X1] :
      ( ( subclass(X0,X1)
        | ? [X2] :
            ( ~ member(X2,X1)
            & member(X2,X0) ) )
      & ( ! [X3] :
            ( member(X3,X1)
            | ~ member(X3,X0) )
        | ~ subclass(X0,X1) ) ),
    inference(rectify,[],[f99]) ).

fof(f99,plain,
    ! [X0,X1] :
      ( ( subclass(X0,X1)
        | ? [X2] :
            ( ~ member(X2,X1)
            & member(X2,X0) ) )
      & ( ! [X2] :
            ( member(X2,X1)
            | ~ member(X2,X0) )
        | ~ subclass(X0,X1) ) ),
    inference(nnf_transformation,[],[f80]) ).

fof(f80,plain,
    ! [X0,X1] :
      ( subclass(X0,X1)
    <=> ! [X2] :
          ( member(X2,X1)
          | ~ member(X2,X0) ) ),
    inference(ennf_transformation,[],[f1]) ).

fof(f1,axiom,
    ! [X0,X1] :
      ( subclass(X0,X1)
    <=> ! [X2] :
          ( member(X2,X0)
         => member(X2,X1) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',subclass_defn) ).

fof(f480,plain,
    spl8_43,
    inference(avatar_split_clause,[],[f172,f478]) ).

fof(f172,plain,
    ! [X2,X0,X1] :
      ( ~ member(X2,X1)
      | ~ member(X2,X0)
      | ~ disjoint(X0,X1) ),
    inference(cnf_transformation,[],[f79]) ).

fof(f79,plain,
    ! [X0,X1] :
      ( ! [X2] :
          ( ~ member(X2,X1)
          | ~ member(X2,X0) )
      | ~ disjoint(X0,X1) ),
    inference(ennf_transformation,[],[f70]) ).

fof(f70,plain,
    ! [X0,X1] :
      ( disjoint(X0,X1)
     => ! [X2] :
          ~ ( member(X2,X1)
            & member(X2,X0) ) ),
    inference(unused_predicate_definition_removal,[],[f40]) ).

fof(f40,axiom,
    ! [X0,X1] :
      ( disjoint(X0,X1)
    <=> ! [X2] :
          ~ ( member(X2,X1)
            & member(X2,X0) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',disjoint_defn) ).

fof(f476,plain,
    spl8_42,
    inference(avatar_split_clause,[],[f171,f474]) ).

fof(f171,plain,
    ! [X0,X1] :
      ( X0 = X1
      | ~ subclass(X1,X0)
      | ~ subclass(X0,X1) ),
    inference(cnf_transformation,[],[f98]) ).

fof(f98,plain,
    ! [X0,X1] :
      ( ( X0 = X1
        | ~ subclass(X1,X0)
        | ~ subclass(X0,X1) )
      & ( ( subclass(X1,X0)
          & subclass(X0,X1) )
        | X0 != X1 ) ),
    inference(flattening,[],[f97]) ).

fof(f97,plain,
    ! [X0,X1] :
      ( ( X0 = X1
        | ~ subclass(X1,X0)
        | ~ subclass(X0,X1) )
      & ( ( subclass(X1,X0)
          & subclass(X0,X1) )
        | X0 != X1 ) ),
    inference(nnf_transformation,[],[f3]) ).

fof(f3,axiom,
    ! [X0,X1] :
      ( X0 = X1
    <=> ( subclass(X1,X0)
        & subclass(X0,X1) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',extensionality) ).

fof(f472,plain,
    ( spl8_41
    | ~ spl8_5
    | ~ spl8_32 ),
    inference(avatar_split_clause,[],[f450,f413,f289,f470]) ).

fof(f450,plain,
    ( ! [X0] : subclass(null_class,X0)
    | ~ spl8_5
    | ~ spl8_32 ),
    inference(resolution,[],[f414,f290]) ).

fof(f447,plain,
    spl8_40,
    inference(avatar_split_clause,[],[f267,f445]) ).

fof(f267,plain,
    ! [X2,X1] :
      ( member(X1,unordered_pair(X1,X2))
      | ~ member(X1,universal_class) ),
    inference(equality_resolution,[],[f205]) ).

fof(f205,plain,
    ! [X2,X0,X1] :
      ( member(X0,unordered_pair(X1,X2))
      | X0 != X1
      | ~ member(X0,universal_class) ),
    inference(cnf_transformation,[],[f122]) ).

fof(f443,plain,
    spl8_39,
    inference(avatar_split_clause,[],[f266,f441]) ).

fof(f266,plain,
    ! [X2,X1] :
      ( member(X2,unordered_pair(X1,X2))
      | ~ member(X2,universal_class) ),
    inference(equality_resolution,[],[f206]) ).

fof(f206,plain,
    ! [X2,X0,X1] :
      ( member(X0,unordered_pair(X1,X2))
      | X0 != X2
      | ~ member(X0,universal_class) ),
    inference(cnf_transformation,[],[f122]) ).

fof(f439,plain,
    spl8_38,
    inference(avatar_split_clause,[],[f203,f437]) ).

fof(f203,plain,
    ! [X2,X0,X1] :
      ( member(X0,universal_class)
      | ~ member(X0,unordered_pair(X1,X2)) ),
    inference(cnf_transformation,[],[f122]) ).

fof(f435,plain,
    spl8_37,
    inference(avatar_split_clause,[],[f202,f433]) ).

fof(f202,plain,
    ! [X2,X0,X1] :
      ( member(X2,union(X0,X1))
      | ~ member(X2,X1) ),
    inference(cnf_transformation,[],[f120]) ).

fof(f431,plain,
    spl8_36,
    inference(avatar_split_clause,[],[f201,f429]) ).

fof(f201,plain,
    ! [X2,X0,X1] :
      ( member(X2,union(X0,X1))
      | ~ member(X2,X0) ),
    inference(cnf_transformation,[],[f120]) ).

fof(f427,plain,
    spl8_35,
    inference(avatar_split_clause,[],[f198,f425]) ).

fof(f198,plain,
    ! [X2,X0,X1] :
      ( member(X2,X1)
      | ~ member(X2,intersection(X0,X1)) ),
    inference(cnf_transformation,[],[f118]) ).

fof(f423,plain,
    spl8_34,
    inference(avatar_split_clause,[],[f197,f421]) ).

fof(f197,plain,
    ! [X2,X0,X1] :
      ( member(X2,X0)
      | ~ member(X2,intersection(X0,X1)) ),
    inference(cnf_transformation,[],[f118]) ).

fof(f419,plain,
    spl8_33,
    inference(avatar_split_clause,[],[f175,f417]) ).

fof(f175,plain,
    ! [X0,X1] :
      ( subclass(X0,X1)
      | ~ member(sK4(X0,X1),X1) ),
    inference(cnf_transformation,[],[f102]) ).

fof(f415,plain,
    spl8_32,
    inference(avatar_split_clause,[],[f174,f413]) ).

fof(f174,plain,
    ! [X0,X1] :
      ( subclass(X0,X1)
      | member(sK4(X0,X1),X0) ),
    inference(cnf_transformation,[],[f102]) ).

fof(f411,plain,
    ( spl8_30
    | spl8_31
    | ~ spl8_11
    | ~ spl8_23 ),
    inference(avatar_split_clause,[],[f386,f366,f316,f408,f405]) ).

fof(f405,plain,
    ( spl8_30
  <=> ! [X0] : ~ inductive(complement(X0)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_30])]) ).

fof(f386,plain,
    ( ! [X0] :
        ( member(null_class,universal_class)
        | ~ inductive(complement(X0)) )
    | ~ spl8_11
    | ~ spl8_23 ),
    inference(resolution,[],[f367,f317]) ).

fof(f403,plain,
    spl8_29,
    inference(avatar_split_clause,[],[f146,f401]) ).

fof(f146,plain,
    ! [X0] : subclass(flip(X0),cross_product(cross_product(universal_class,universal_class),universal_class)),
    inference(cnf_transformation,[],[f21]) ).

fof(f21,axiom,
    ! [X0] : subclass(flip(X0),cross_product(cross_product(universal_class,universal_class),universal_class)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',flip) ).

fof(f399,plain,
    spl8_28,
    inference(avatar_split_clause,[],[f145,f397]) ).

fof(f145,plain,
    ! [X0] : subclass(rotate(X0),cross_product(cross_product(universal_class,universal_class),universal_class)),
    inference(cnf_transformation,[],[f19]) ).

fof(f19,axiom,
    ! [X0] : subclass(rotate(X0),cross_product(cross_product(universal_class,universal_class),universal_class)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rotate) ).

fof(f384,plain,
    spl8_27,
    inference(avatar_split_clause,[],[f182,f382]) ).

fof(f182,plain,
    ! [X0,X1] :
      ( member(X1,universal_class)
      | ~ member(X1,domain_of(X0)) ),
    inference(cnf_transformation,[],[f108]) ).

fof(f380,plain,
    spl8_26,
    inference(avatar_split_clause,[],[f180,f378]) ).

fof(f180,plain,
    ! [X0,X1] :
      ( subclass(X0,X1)
      | ~ member(X0,power_class(X1)) ),
    inference(cnf_transformation,[],[f106]) ).

fof(f376,plain,
    spl8_25,
    inference(avatar_split_clause,[],[f179,f374]) ).

fof(f179,plain,
    ! [X0,X1] :
      ( member(X0,universal_class)
      | ~ member(X0,power_class(X1)) ),
    inference(cnf_transformation,[],[f106]) ).

fof(f372,plain,
    spl8_24,
    inference(avatar_split_clause,[],[f177,f370]) ).

fof(f177,plain,
    ! [X0,X1] :
      ( ~ member(X1,X0)
      | ~ member(X1,complement(X0)) ),
    inference(cnf_transformation,[],[f104]) ).

fof(f368,plain,
    spl8_23,
    inference(avatar_split_clause,[],[f176,f366]) ).

fof(f176,plain,
    ! [X0,X1] :
      ( member(X1,universal_class)
      | ~ member(X1,complement(X0)) ),
    inference(cnf_transformation,[],[f104]) ).

fof(f364,plain,
    ( ~ spl8_22
    | ~ spl8_5
    | ~ spl8_11 ),
    inference(avatar_split_clause,[],[f327,f316,f289,f361]) ).

fof(f327,plain,
    ( ~ inductive(null_class)
    | ~ spl8_5
    | ~ spl8_11 ),
    inference(resolution,[],[f317,f290]) ).

fof(f359,plain,
    spl8_21,
    inference(avatar_split_clause,[],[f162,f357]) ).

fof(f162,plain,
    ! [X0,X1] : subclass(compose(X1,X0),cross_product(universal_class,universal_class)),
    inference(cnf_transformation,[],[f52]) ).

fof(f52,plain,
    ! [X0,X1] : subclass(compose(X1,X0),cross_product(universal_class,universal_class)),
    inference(rectify,[],[f35]) ).

fof(f35,axiom,
    ! [X5,X7] : subclass(compose(X7,X5),cross_product(universal_class,universal_class)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',compose_defn1) ).

fof(f355,plain,
    spl8_20,
    inference(avatar_split_clause,[],[f158,f353]) ).

fof(f158,plain,
    ! [X0] :
      ( member(sK3(X0),universal_class)
      | ~ member(X0,identity_relation) ),
    inference(cnf_transformation,[],[f96]) ).

fof(f351,plain,
    spl8_19,
    inference(avatar_split_clause,[],[f155,f349]) ).

fof(f155,plain,
    ! [X0] :
      ( subclass(X0,cross_product(universal_class,universal_class))
      | ~ function(X0) ),
    inference(cnf_transformation,[],[f92]) ).

fof(f347,plain,
    spl8_18,
    inference(avatar_split_clause,[],[f151,f345]) ).

fof(f151,plain,
    ! [X0] :
      ( member(sum_class(X0),universal_class)
      | ~ member(X0,universal_class) ),
    inference(cnf_transformation,[],[f74]) ).

fof(f74,plain,
    ! [X0] :
      ( member(sum_class(X0),universal_class)
      | ~ member(X0,universal_class) ),
    inference(ennf_transformation,[],[f32]) ).

fof(f32,axiom,
    ! [X0] :
      ( member(X0,universal_class)
     => member(sum_class(X0),universal_class) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sum_class) ).

fof(f343,plain,
    spl8_17,
    inference(avatar_split_clause,[],[f150,f341]) ).

fof(f150,plain,
    ! [X0] :
      ( member(power_class(X0),universal_class)
      | ~ member(X0,universal_class) ),
    inference(cnf_transformation,[],[f73]) ).

fof(f73,plain,
    ! [X0] :
      ( member(power_class(X0),universal_class)
      | ~ member(X0,universal_class) ),
    inference(ennf_transformation,[],[f49]) ).

fof(f49,plain,
    ! [X0] :
      ( member(X0,universal_class)
     => member(power_class(X0),universal_class) ),
    inference(rectify,[],[f34]) ).

fof(f34,axiom,
    ! [X2] :
      ( member(X2,universal_class)
     => member(power_class(X2),universal_class) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',power_class) ).

fof(f339,plain,
    spl8_16,
    inference(avatar_split_clause,[],[f149,f337]) ).

fof(f149,plain,
    ! [X0] :
      ( disjoint(sK2(X0),X0)
      | null_class = X0 ),
    inference(cnf_transformation,[],[f88]) ).

fof(f88,plain,
    ! [X0] :
      ( ( disjoint(sK2(X0),X0)
        & member(sK2(X0),X0)
        & member(sK2(X0),universal_class) )
      | null_class = X0 ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK2])],[f72,f87]) ).

fof(f87,plain,
    ! [X0] :
      ( ? [X1] :
          ( disjoint(X1,X0)
          & member(X1,X0)
          & member(X1,universal_class) )
     => ( disjoint(sK2(X0),X0)
        & member(sK2(X0),X0)
        & member(sK2(X0),universal_class) ) ),
    introduced(choice_axiom,[]) ).

fof(f72,plain,
    ! [X0] :
      ( ? [X1] :
          ( disjoint(X1,X0)
          & member(X1,X0)
          & member(X1,universal_class) )
      | null_class = X0 ),
    inference(ennf_transformation,[],[f48]) ).

fof(f48,plain,
    ! [X0] :
      ( null_class != X0
     => ? [X1] :
          ( disjoint(X1,X0)
          & member(X1,X0)
          & member(X1,universal_class) ) ),
    inference(rectify,[],[f41]) ).

fof(f41,axiom,
    ! [X0] :
      ( null_class != X0
     => ? [X2] :
          ( disjoint(X2,X0)
          & member(X2,X0)
          & member(X2,universal_class) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',regularity) ).

fof(f335,plain,
    spl8_15,
    inference(avatar_split_clause,[],[f148,f333]) ).

fof(f148,plain,
    ! [X0] :
      ( member(sK2(X0),X0)
      | null_class = X0 ),
    inference(cnf_transformation,[],[f88]) ).

fof(f331,plain,
    spl8_14,
    inference(avatar_split_clause,[],[f147,f329]) ).

fof(f147,plain,
    ! [X0] :
      ( member(sK2(X0),universal_class)
      | null_class = X0 ),
    inference(cnf_transformation,[],[f88]) ).

fof(f326,plain,
    spl8_13,
    inference(avatar_split_clause,[],[f223,f324]) ).

fof(f223,plain,
    ! [X1] :
      ( subclass(sK7,X1)
      | ~ inductive(X1) ),
    inference(cnf_transformation,[],[f134]) ).

fof(f134,plain,
    ( ! [X1] :
        ( subclass(sK7,X1)
        | ~ inductive(X1) )
    & inductive(sK7)
    & member(sK7,universal_class) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK7])],[f84,f133]) ).

fof(f133,plain,
    ( ? [X0] :
        ( ! [X1] :
            ( subclass(X0,X1)
            | ~ inductive(X1) )
        & inductive(X0)
        & member(X0,universal_class) )
   => ( ! [X1] :
          ( subclass(sK7,X1)
          | ~ inductive(X1) )
      & inductive(sK7)
      & member(sK7,universal_class) ) ),
    introduced(choice_axiom,[]) ).

fof(f84,plain,
    ? [X0] :
      ( ! [X1] :
          ( subclass(X0,X1)
          | ~ inductive(X1) )
      & inductive(X0)
      & member(X0,universal_class) ),
    inference(ennf_transformation,[],[f30]) ).

fof(f30,axiom,
    ? [X0] :
      ( ! [X1] :
          ( inductive(X1)
         => subclass(X0,X1) )
      & inductive(X0)
      & member(X0,universal_class) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',infinity) ).

fof(f322,plain,
    spl8_12,
    inference(avatar_split_clause,[],[f161,f320]) ).

fof(f161,plain,
    ! [X0,X1] : member(unordered_pair(X0,X1),universal_class),
    inference(cnf_transformation,[],[f5]) ).

fof(f5,axiom,
    ! [X0,X1] : member(unordered_pair(X0,X1),universal_class),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unordered_pair) ).

fof(f318,plain,
    spl8_11,
    inference(avatar_split_clause,[],[f152,f316]) ).

fof(f152,plain,
    ! [X0] :
      ( member(null_class,X0)
      | ~ inductive(X0) ),
    inference(cnf_transformation,[],[f90]) ).

fof(f314,plain,
    spl8_10,
    inference(avatar_split_clause,[],[f138,f311]) ).

fof(f138,plain,
    subclass(successor_relation,cross_product(universal_class,universal_class)),
    inference(cnf_transformation,[],[f24]) ).

fof(f24,axiom,
    subclass(successor_relation,cross_product(universal_class,universal_class)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',successor_relation_defn1) ).

fof(f309,plain,
    spl8_9,
    inference(avatar_split_clause,[],[f137,f306]) ).

fof(f137,plain,
    subclass(element_relation,cross_product(universal_class,universal_class)),
    inference(cnf_transformation,[],[f12]) ).

fof(f12,axiom,
    subclass(element_relation,cross_product(universal_class,universal_class)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',element_relation) ).

fof(f304,plain,
    spl8_8,
    inference(avatar_split_clause,[],[f263,f302]) ).

fof(f302,plain,
    ( spl8_8
  <=> ! [X1] : subclass(X1,X1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_8])]) ).

fof(f263,plain,
    ! [X1] : subclass(X1,X1),
    inference(equality_resolution,[],[f170]) ).

fof(f170,plain,
    ! [X0,X1] :
      ( subclass(X1,X0)
      | X0 != X1 ),
    inference(cnf_transformation,[],[f98]) ).

fof(f300,plain,
    spl8_7,
    inference(avatar_split_clause,[],[f221,f297]) ).

fof(f221,plain,
    member(sK7,universal_class),
    inference(cnf_transformation,[],[f134]) ).

fof(f295,plain,
    spl8_6,
    inference(avatar_split_clause,[],[f140,f293]) ).

fof(f140,plain,
    ! [X0] : subclass(X0,universal_class),
    inference(cnf_transformation,[],[f2]) ).

fof(f2,axiom,
    ! [X0] : subclass(X0,universal_class),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',class_elements_are_sets) ).

fof(f291,plain,
    spl8_5,
    inference(avatar_split_clause,[],[f139,f289]) ).

fof(f139,plain,
    ! [X0] : ~ member(X0,null_class),
    inference(cnf_transformation,[],[f16]) ).

fof(f16,axiom,
    ! [X0] : ~ member(X0,null_class),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',null_class_defn) ).

fof(f287,plain,
    spl8_4,
    inference(avatar_split_clause,[],[f222,f284]) ).

fof(f222,plain,
    inductive(sK7),
    inference(cnf_transformation,[],[f134]) ).

fof(f282,plain,
    spl8_3,
    inference(avatar_split_clause,[],[f219,f279]) ).

fof(f279,plain,
    ( spl8_3
  <=> function(sK6) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_3])]) ).

fof(f219,plain,
    function(sK6),
    inference(cnf_transformation,[],[f132]) ).

fof(f277,plain,
    ~ spl8_2,
    inference(avatar_split_clause,[],[f229,f274]) ).

fof(f229,plain,
    ~ subclass(unordered_pair(sK0,sK0),sK1),
    inference(definition_unfolding,[],[f136,f142]) ).

fof(f136,plain,
    ~ subclass(singleton(sK0),sK1),
    inference(cnf_transformation,[],[f86]) ).

fof(f86,plain,
    ( ~ subclass(singleton(sK0),sK1)
    & member(sK0,sK1) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f71,f85]) ).

fof(f85,plain,
    ( ? [X0,X1] :
        ( ~ subclass(singleton(X0),X1)
        & member(X0,X1) )
   => ( ~ subclass(singleton(sK0),sK1)
      & member(sK0,sK1) ) ),
    introduced(choice_axiom,[]) ).

fof(f71,plain,
    ? [X0,X1] :
      ( ~ subclass(singleton(X0),X1)
      & member(X0,X1) ),
    inference(ennf_transformation,[],[f45]) ).

fof(f45,negated_conjecture,
    ~ ! [X0,X1] :
        ( member(X0,X1)
       => subclass(singleton(X0),X1) ),
    inference(negated_conjecture,[],[f44]) ).

fof(f44,conjecture,
    ! [X0,X1] :
      ( member(X0,X1)
     => subclass(singleton(X0),X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',property_of_singletons2) ).

fof(f272,plain,
    spl8_1,
    inference(avatar_split_clause,[],[f135,f269]) ).

fof(f135,plain,
    member(sK0,sK1),
    inference(cnf_transformation,[],[f86]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11  % Problem    : SET095+1 : TPTP v8.1.2. Bugfixed v5.4.0.
% 0.03/0.12  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.12/0.32  % Computer : n021.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   : Fri May  3 16:41:38 EDT 2024
% 0.12/0.32  % CPUTime    : 
% 0.12/0.33  % (14605)Running in auto input_syntax mode. Trying TPTP
% 0.12/0.34  % (14608)WARNING: value z3 for option sas not known
% 0.12/0.34  % (14610)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on theBenchmark for (531ds/0Mi)
% 0.12/0.34  % (14609)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.12/0.34  % (14612)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on theBenchmark for (497ds/0Mi)
% 0.12/0.34  % (14607)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.12/0.34  % (14608)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on theBenchmark for (569ds/0Mi)
% 0.12/0.34  % (14606)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.12/0.34  % (14611)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on theBenchmark for (522ds/0Mi)
% 0.17/0.36  TRYING [1]
% 0.17/0.37  TRYING [2]
% 0.17/0.37  TRYING [1]
% 0.17/0.37  TRYING [2]
% 0.17/0.40  TRYING [3]
% 0.17/0.40  TRYING [3]
% 0.17/0.48  TRYING [4]
% 0.17/0.54  TRYING [4]
% 2.40/0.69  TRYING [1]
% 2.40/0.69  TRYING [2]
% 2.40/0.69  TRYING [3]
% 2.40/0.70  TRYING [5]
% 2.82/0.72  TRYING [4]
% 3.10/0.80  TRYING [5]
% 4.48/0.98  TRYING [5]
% 4.48/1.01  TRYING [6]
% 6.45/1.28  % (14610)First to succeed.
% 6.45/1.30  % (14610)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-14605"
% 6.45/1.30  % (14610)Refutation found. Thanks to Tanya!
% 6.45/1.30  % SZS status Theorem for theBenchmark
% 6.45/1.30  % SZS output start Proof for theBenchmark
% See solution above
% 6.45/1.32  % (14610)------------------------------
% 6.45/1.32  % (14610)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 6.45/1.32  % (14610)Termination reason: Refutation
% 6.45/1.32  
% 6.45/1.32  % (14610)Memory used [KB]: 8803
% 6.45/1.32  % (14610)Time elapsed: 0.960 s
% 6.45/1.32  % (14610)Instructions burned: 1853 (million)
% 6.45/1.32  % (14605)Success in time 0.981 s
%------------------------------------------------------------------------------